text stringlengths 270 8.19k | meta dict |
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24 + 7*w**2. Let y(b) = 2*b. What is y(o(x))?
-2*x
Let q(u) = -24*u - 1. Let h(f) = 10*f. Give h(q(b)).
-240*b - 10
Let r(m) = 0*m + 5*m - 6 + 9. Let i(d) = -4*d - 2. Let q(n) = 3*i(n) + 2*r(n). Let k(a) = a + 4*a - 4*a. Give q(k(z)).
-2*z
Suppose 0*n - 2*n + 18 = 0. Let y(x) = x + n*x - x. Let t(q) = -2*q**2. What is y(t(w))?
-18*w**2
Let q(v) = -2*v**2 - 54. Let j(m) = 2*m**2. Calculate j(q(r)).
8*r**4 + 432*r**2 + 5832
Let u(r) = -1075*r**2. Let q(l) = -2*l**2. Give u(q(h)).
-4300*h**4
Let o(v) = v**2. Let x = -6 - -10. Let q(l) = x*l - 7*l - 2*l. Calculate q(o(s)).
-5*s**2
Let p(m) = -21*m**2. Let k(z) be the second derivative of z**3/6 - 4*z. Determine p(k(f)).
-21*f**2
Let x(v) be the second derivative of -v**4/12 + v. Let g(j) = -j + 6. Let q be g(-5). Let y(l) = -3*l - 11 + q. What is x(y(d))?
-9*d**2
Let c(u) = -3*u**2 - 2. Let d(i) = 25*i**2 + 17. Let t(x) = -51*c(x) - 6*d(x). Let j(f) be the third derivative of -f**4/12 - 2*f**2. Determine j(t(l)).
-6*l**2
Let n(x) = -4*x - x + 4*x - x. Let y(r) = 7*r. Give y(n(k)).
-14*k
Let g(y) = -2*y. Let s(c) = -490*c. Let j(w) = -41*w. Let o(n) = -49*j(n) + 4*s(n). What is o(g(d))?
-98*d
Let l(c) = c**2. Let w(t) be the first derivative of t + 2 + t**2 - 1 - t. Give l(w(z)).
4*z**2
Let h(i) = 0*i + 0*i + 3*i. Let a(g) be the third derivative of g**6/720 - g**4/24 - 2*g**2. Let n(o) be the second derivative of a(o). Give n(h(r)).
3*r
Let m(c) be the third derivative of -c**4/24 - 23*c**2. Let x(k) = 6*k**2 + k**2 + 3*k**2 - 2*k**2. Determine m(x(f)).
-8*f**2
Let y(o) = 59*o. Let t(v) be the second derivative of -v**4/6 + 10*v. What is t(y(m))?
-6962*m**2
Let v(u) = -2*u**2. Let d(j) = 2 - 2 - 9*j**2 - 20*j**2. What is d(v(t))?
-116*t**4
Let s(r) = 2*r**2 - 78. Let a(z) = 3*z. Calculate s(a(y)).
18*y**2 - 78
Let t(d) = 407*d**2. Let k(u) = -2*u. Calculate k(t(j)).
-814*j**2
Let b(s) = -7*s - 34. Let o(c) = -30*c**2. Give o(b(h)).
-1470*h**2 - 14280*h - 34680
Let u(o) = 1316*o. Let y(m) = -7*m**2. Calculate y(u(w)).
-12122992*w**2
Let j(g) = -26*g**2. Let n(t) = 5*t + t - 14*t + 9*t. Calculate j(n(m)).
-26*m**2
Let o(h) = -2*h**2 - 32*h. Let i(j) = 20*j. Determine i(o(s)).
-40*s**2 - 640*s
Let f = 1 + 3. Let b(a) = 5*a + 4. Let h(w) = -5*w - 3. Let k(j) = f*h(j) + 3*b(j). Let y(i) = -2*i. What is k(y(n))?
10*n
Let y(i) = -i**2 + 10*i - 15. Let l be y(7). Let v(h) = -6*h**2 + l*h**2 + h**2. Let q(p) = 6*p. Calculate v(q(d)).
36*d**2
Let t(h) = -2*h. Let s = -35 + 55. Let a(v) = 2*v**2 - 20*v + s*v. Determine a(t(k)).
8*k**2
Let d = -335/12 + 28. Let f(r) be the second derivative of 0*r**2 - d*r**4 + 0*r**3 + 0 + 3*r. Let y(v) = -2*v**2. What is f(y(a))?
-4*a**4
Let a(i) = -i - 64. Let p(y) = -3*y. Give p(a(r)).
3*r + 192
Let j(i) = 62*i - 62*i - 4*i**2 + 2*i**2. Let g(y) = -2*y + 1. Let s(l) = 1. Let o(w) = g(w) - s(w). Calculate o(j(v)).
4*v**2
Let s(d) = 8*d**2. Let a(g) = -5*g**2 + 4580*g - 4580*g. Calculate s(a(z)).
200*z**4
Let b(p) = 4*p**2. Suppose 2*v + 19 = -3*d, 3*v = -3*d - 5 - 10. Let f be (-16)/d - (-4)/18. Let o(z) = -8*z + 8*z - z**f. Determine b(o(r)).
4*r**4
Let u(m) = 4*m. Let a(t) = 938*t. Determine a(u(g)).
3752*g
Let g(p) = -3*p**2. Let u(r) = -4441*r**2. Give g(u(v)).
-59167443*v**4
Let f(u) = 6*u. Let z(n) = -3*n**2 + 4*n. Let b(l) = 2*l**2 - 3*l. Let p(o) = 4*b(o) + 3*z(o). Give p(f(m)).
-36*m**2
Let g(k) = 5*k. Let f(z) be the third derivative of 2*z**2 + 0*z + 0 + 0*z**3 + 1/12*z**4. Give g(f(n)).
10*n
Let x(g) = -49*g**2 + 7. Let w(z) = -4*z**2. What is w(x(p))?
-9604*p**4 + 2744*p**2 - 196
Let i(q) = 234*q**2. Let h(f) = -2*f**2. Determine h(i(w)).
-109512*w**4
Let l(b) = -2*b**2 - 6*b + 6. Let t(j) = -j + 1. Let g(n) = -l(n) + 6*t(n). Let h(y) = 3*y**2 + y. Let s(x) = x. Let c(k) = h(k) - s(k). Give c(g(f)).
12*f**4
Let m(o) = o**2. Let z(t) = 6*t**2. Let b(u) = 4*m(u) - z(u). Let c(v) = 36*v**2. Give c(b(k)).
144*k**4
Let c = -7 + 12. Let y(s) = s - c*s + 6*s. Let p(n) = -22*n + 22*n + 2*n**2. Determine y(p(q)).
4*q**2
Let y(w) = -3*w**2. Let u(j) = -3*j**2 + 9*j. Determine u(y(x)).
-27*x**4 - 27*x**2
Let c(a) = 15*a - 5. Let d(s) = s**2. Give c(d(t)).
15*t**2 - 5
Let g(c) = 3*c - 5. Let p(n) = -3*n + 6. Let b(w) = -6*g(w) - 5*p(w). Let h(d) = 4*d. Calculate h(b(j)).
-12*j
Let s(j) = 165*j. Let u(o) = 3*o**2. Calculate u(s(m)).
81675*m**2
Suppose -3*d = -0*d. Let t(s) = s + s + d*s. Let u(g) = -6*g. Calculate u(t(y)).
-12*y
Let f(g) = -4*g + 385. Let q(l) = -2*l**2. Give q(f(c)).
-32*c**2 + 6160*c - 296450
Let m(w) be the second derivative of w**4/12 + 3*w**3/2 - 15*w**2/2 - w. Let a be m(-11). Let z(h) = -a + 2*h**2 + 7. Let x(g) = -6*g. Determine z(x(u)).
72*u**2
Let l(c) be the third derivative of 0 + 1/30*c**5 + 0*c**4 + c**2 + 0*c + 0*c**3. Let s(d) = -2*d. Calculate l(s(g)).
8*g**2
Let p(i) be the first derivative of 0*i**2 + 1/3*i**3 + 4 + 0*i. Let r(l) be the second derivative of -l**3/6 + 3*l. What is r(p(z))?
-z**2
Let z(d) = d**2 - d + 1. Let l(x) = -82*x**2 - 6*x + 6. Let n(m) = l(m) - 6*z(m). Let q(w) = -2*w. What is q(n(t))?
176*t**2
Let x(d) be the second derivative of d**3/3 - 12*d. Let i(h) = 15*h**2 - 1. What is i(x(y))?
60*y**2 - 1
Let x(l) = 4*l**2. Let g(s) = -450*s**2. What is x(g(t))?
810000*t**4
Let y(j) = j - j - 9*j + j. Let o(r) = -r**2 - r. Let v(c) = 8*o(c) - y(c). Let a(t) = t. What is a(v(u))?
-8*u**2
Let s(t) be the second derivative of -t + 0*t**2 - 2/3*t**3 + 0. Let n(r) = 70 - r - 70. Give s(n(f)).
4*f
Let n(c) = -36*c**2. Let x(f) = 20*f**2. Determine n(x(h)).
-14400*h**4
Let l(x) = -2*x. Let g(v) = 56*v**2 - 4*v - 6. Let r(y) = 55*y**2 - 3*y - 5. Let k(c) = -5*g(c) + 6*r(c). Give l(k(o)).
-100*o**2 - 4*o
Let v(c) = -18*c**2 + 12 + 14 - 26. Let o(t) = -t. What is o(v(a))?
18*a**2
Let y(d) = -d - 1. Let o(v) = -v - 2. Let z(t) = 3*o(t) - 6*y(t). Let u(q) = 2*q + 5. Let h(n) = -1. Let r(w) = 5*h(w) + u(w). Determine r(z(j)).
6*j
Let f(n) = -2*n**2. Let o(d) be the first derivative of -d**3 - 2 + 2*d**3 - 4*d**3 + 2*d**3. What is f(o(i))?
-18*i**4
Let q(t) = 3*t. Let j(o) = -11*o + 7. Let u(w) = -6*w + 4. Let i(g) = 4*j(g) - 7*u(g). What is q(i(r))?
-6*r
Let h(t) = -2*t. Let g be (-6)/(-5)*(-15)/(-6). Let j be (-10)/(-40) + (-23)/(-4). Let p(s) = s - j*s + g*s. What is h(p(z))?
4*z
Let l(b) = -120*b**2 - 2*b - 2. Let v(d) = 2*d**2. Determine l(v(s)).
-480*s**4 - 4*s**2 - 2
Let d(v) = -10*v + 21*v + 18*v. Let k(j) = -2*j**2. What is k(d(q))?
-1682*q**2
Let y(n) = n**2 + 5*n + 5. Let z be y(-4). Let s(p) = -1 - 3*p + z + 6*p. Let v(w) = 0*w**2 - 4*w**2 + 6*w**2. Calculate v(s(q)).
18*q**2
Let p(a) = -9*a**2 + 3. Let h(m) = -71*m**2 + 20*m**2 + 25*m**2 + 23*m**2. Determine p(h(x)).
-81*x**4 + 3
Let u(t) = -t**2. Let a(p) = 398*p**2. Give u(a(w)).
-158404*w**4
Let z(q) be the second derivative of q**4/12 - 18*q. Let l(y) = y. Calculate l(z(u)).
u**2
Suppose 1 = 4*g - 7. Let c(w) = -2*w**g + 4*w**2 - 3*w**2 - w**2. Let b(y) = 2*y. Give b(c(l)).
-4*l**2
Let a(m) be the second derivative of -2*m - 1/6*m**3 + 0*m**2 + 0. Let s(z) = 0*z + 0*z + 2*z. Give a(s(x)).
-2*x
Let s(q) = 1100*q. Let l(c) = -c. Calculate s(l(d)).
-1100*d
Let u(j) = -3*j + 2. Let t(x) = 7*x - 5. Let k(s) = 2*t(s) + 5*u(s). Let f(a) = -a**2 + 5*a**2 + 3*a**2. What is k(f(c))?
-7*c**2
Let l(c) = -14*c**2. Let i(k) = -12*k. What is l(i(v))?
-2016*v**2
Let j(v) = -17*v**2. Let a(n) = 2*n + 5. Give a(j(g)).
-34*g**2 + 5
Suppose 90*c - 95*c + 5 = 0. Let j(r) be the first derivative of -1/3*r**3 + 0*r + 0*r**2 - c. Let d(g) = g. What is d(j(k))?
-k**2
Let f(q) = -q. Let h(u) be the third derivative of -7*u**5/30 + 13*u**4/24 - 5*u**2. Let p(r) = -7*r**2 + 6*r. Let y(m) = -6*h(m) + 13*p(m). What is y(f(w))?
-7*w**2
Let k(z) = -2*z**2. Let i(t) = 9*t**2 + 4*t + 4. Let m(s) = 28*s**2 + 11*s + 11. Let h(a) = 11*i(a) - 4*m(a). Determine h(k(u)).
-52*u**4
Let q(w) = 8*w. Let n(t) = 3*t. Determine n(q(u)).
24*u
Let z(a) = -11*a**2 - 9*a. Let s(k) = -3*k**2 - 2*k. Let p(r) = -9*s(r) + 2*z(r). Let j(m) = 4*m**2. Give p(j(g)).
80*g**4
Let a(d) = d - 23. Let f(j) = -10*j**2. Calculate f(a(n)).
-10*n**2 + 460*n - 5290
Let k(l) be the third derivative of l**5/15 - 35*l**2. Let r(d) = -10*d. What is k(r(n))?
400*n**2
Let d(p) = -31*p. Let r(w) = -36*w. What is r(d(g))?
1116*g
Let q(m) = | {
"pile_set_name": "DM Mathematics"
} |
**2 - 3*y + 3. Let c be -4 + 2 + -1 - -6. Let j be (c/6)/((-3)/18). Let q(i) = 2*i**3 + 5*i**2 - 5*i + 5. Determine j*q(t) + 5*o(t).
-t**3
Let l = -3 - -8. Let d be 13 + -1 + 2 + 0. Let m(w) = -7*w**3 + 5*w**2 + 5*w + 5. Let z(a) = 20*a**3 - 14*a**2 - 14*a - 14. Calculate d*m(r) + l*z(r).
2*r**3
Let l(t) = 3*t**2 + 7*t - 7. Let z(s) = -5*s**2 - 11*s + 10. Calculate 8*l(a) + 5*z(a).
-a**2 + a - 6
Let t(z) = -9*z**2 + 6*z + 6. Let n(i) = -8*i**2 + 5*i + 5. Let w be 5 - -2 - (2 - 0). Let c be (-7)/35*5*(0 + 6). What is c*n(m) + w*t(m)?
3*m**2
Let f(x) = 7*x**3 - 3*x**2. Let y(j) = 11*j**3 - 7*j**2 - 3. Let m(z) = 10*z**3 - 6*z**2 - 2. Let b(n) = -3*m(n) + 2*y(n). Determine 3*b(s) + 4*f(s).
4*s**3
Let y(g) = 5*g**3 + 4*g**2 + g. Let i(a) = -2*a**3 - 2*a**2 - a. Give -5*i(q) - 3*y(q).
-5*q**3 - 2*q**2 + 2*q
Let d(t) = -t**2 + 1. Suppose 1 - 3 = 2*n. Let l(j) = 2*j**3 + j - 1. Let g(k) = 11*k**3 - 5*k**2 + 6*k - 2. Let z(q) = -g(q) + 6*l(q). Give n*z(y) - 3*d(y).
-y**3 - 2*y**2 + 1
Let k(f) = 2*f**2 + 6. Let h(r) = 1. Let y be 2*(1 - -8)/3. Let z = -1 - 0. Give y*h(w) + z*k(w).
-2*w**2
Let p(q) = -4*q. Let h(v) = 9*v. Let n(t) = 3*h(t) + 7*p(t). Let m(b) = -3*b + 1. Let i(f) = -m(f) + 2*n(f). Let z(g) = 4*g - 3. Determine 5*i(j) - z(j).
j - 2
Let d(s) = -14*s**3 + 10*s - 10. Let t(l) = -l**3 + l - 1. Determine -d(k) + 10*t(k).
4*k**3
Let x(n) = 14*n - 11. Let u(v) = v - 1. Calculate -5*u(a) + x(a).
9*a - 6
Let x(d) = d**2 - d + 1. Let q(h) = -7*h + 3. Determine q(v) - 4*x(v).
-4*v**2 - 3*v - 1
Let c(j) = j**3 + 5*j**2 + 5. Suppose w = 2*w - 148. Let t be 4/(-14) - w/(-28). Let i(h) = -h**3 - 4*h**2 - 4. Give t*i(g) + 4*c(g).
-g**3
Let k = -2 - -7. Let f = -10 - -16. Let r(a) = -7*a**3 + 6*a + 1. Let i(u) = 16*u**3 + 3*u - 1 - 8*u**3 - 10*u. Determine f*r(t) + k*i(t).
-2*t**3 + t + 1
Suppose 2*c - c + 1 = 0. Let l = c + -2. Let i(d) = 2*d + 3*d**2 - 5*d**2 - 5*d + d**2. Let m(w) = -2*w**2 - 7*w. Give l*m(b) + 7*i(b).
-b**2
Let u be (-5)/(-15) + 35/3. Let h(m) = -4*m + u*m - 7*m - 4. Let z(v) = 3*v - 9. Calculate 9*h(n) - 4*z(n).
-3*n
Let v(p) = 6*p**3 + 4*p**2 + 4*p + 6. Let m(n) be the first derivative of -7*n**4/4 - 5*n**3/3 - 5*n**2/2 - 7*n - 13. Give -4*m(z) - 5*v(z).
-2*z**3 - 2
Let z(p) = -4*p - 5. Let f(l) = -1. Let x(u) = 2*f(u) - 2*z(u). Suppose -w = 9 - 4. Let y(j) = -8 - 5 - 6*j + 6 - j. Give w*x(a) - 6*y(a).
2*a + 2
Let d(n) = -4*n**3 + n + 2. Let c(g) = 23*g**3 - 5*g - 11. What is -6*c(r) - 34*d(r)?
-2*r**3 - 4*r - 2
Let i(o) = 1. Let v(h) = -2*h + 5. Let w(k) = -15*k - 5. Let l be w(-2). Suppose 0 = 4*t - y - l, t - 2*y - 4 = -4*y. Calculate t*i(z) - v(z).
2*z + 1
Let u(t) = -t**2 + 7*t. Suppose -3*r = 2*w + r + 2, -3*w = -2*r - 13. Let a(v) = 4*v**2 - 22*v. Calculate w*a(o) + 10*u(o).
2*o**2 + 4*o
Let h(k) be the third derivative of k**5/30 - k**4/6 - k**3/2 + 70*k**2. Let f(a) = a**3 - 5*a**2 + 9*a + 6. What is 2*f(l) + 5*h(l)?
2*l**3 - 2*l - 3
Let k(f) = -2*f - 9. Let p(x) = -x - 10. Give 3*k(l) - 4*p(l).
-2*l + 13
Let d be 1/(-2)*12/6. Let r(u) = -u**2 + u. Let z(f) = f + 8*f**2 + f - 2 - 3. Let q(p) = 9*p**2 + 3*p - 6. Let b(m) = 5*q(m) - 6*z(m). What is d*b(a) + 4*r(a)?
-a**2 + a
Let o(c) = c**3 + 2*c**2 + c + 2. Let j(n) = n**2 + n. Suppose 0 = -2*b - 2 - 2. Let w(f) = f + 2. Let h be w(-1). What is b*j(i) + h*o(i)?
i**3 - i + 2
Let i(m) = -5*m**3 + 6*m. Let b(y) = -4*y**3 + 5*y. Determine -6*b(n) + 5*i(n).
-n**3
Let q(f) = f**2 - 3*f. Let p(h) = h**2 - 4*h - 1. Suppose 23*n - 54 = 5*n. Give n*p(i) - 4*q(i).
-i**2 - 3
Let f(u) = 6*u - 4. Let d(r) = -r + 1. Suppose -p + 1 = -x - 5, -p - 2*x + 3 = 0. Give p*d(b) + f(b).
b + 1
Let y(m) = -m - 3. Let s(n) = -3*n - 2*n**3 + 4*n**2 + 3*n - 4*n + 2. Let c be s(2). Let i = c - -3. Let p(o) = -2*o - 7. Determine i*p(b) + 7*y(b).
-b
Let j(w) = 46*w. Let u(x) = 47*x. What is -6*j(c) + 5*u(c)?
-41*c
Let j(q) = q**2 + q. Let n(r) be the first derivative of r**4/2 - r**3/3 - r**2 - r + 7. What is 2*j(y) + n(y)?
2*y**3 + y**2 - 1
Let a(g) = -11*g + 8. Let w(b) = -5*b + 4. Let s(y) = 4*a(y) - 9*w(y). Let f = 0 + 1. Suppose 4*v + 2 - 26 = 0. Let x(u) = 1. Determine f*s(m) + v*x(m).
m + 2
Let b(c) = 6*c + 8. Let h(a) = -a - 1. Give -b(g) - 4*h(g).
-2*g - 4
Let q(b) = 13*b - 14. Let u(t) = 7*t - 7. What is -6*q(v) + 11*u(v)?
-v + 7
Suppose -2*b - 5*g = -9, -b + 0 = 2*g - 3. Let s(w) = w**2 - 4. Let o(c) = 1. Let u(j) = -4. Let m(n) = 21*o(n) + 6*u(n). Calculate b*s(t) + 4*m(t).
-3*t**2
Let b(f) = -f**3 - f - 1. Let g(y) = y. Let m be g(4). Let d(z) = -5*z**3 - 4*z - 3. Suppose 2*q + 3 + 1 = 0. Let c be q/(-4)*1*-2. Give c*d(o) + m*b(o).
o**3 - 1
Let j(a) = -15*a**3 - 2*a**2 + 2*a - 3. Let c(z) = 44*z**3 + 5*z**2 - 5*z + 8. What is -3*c(l) - 8*j(l)?
-12*l**3 + l**2 - l
Let k(n) = -n**3 + 4*n**2 - 5*n + 3. Let l(i) = 5*i**2 - 4*i + 2. Determine -2*k(t) + 3*l(t).
2*t**3 + 7*t**2 - 2*t
Let c(t) = -t**2 - 7*t - 2. Let a be c(-5). Let w(j) = -2*j - 4. Let f(b) be the first derivative of -3*b**2/2 - 6*b - 17. Determine a*w(d) - 5*f(d).
-d - 2
Let f = 83 - 41. Suppose -4*t = -2 - f. Let s(j) = -3*j + 5. Let g(d) = 11*d - 14. Let k(c) = -c. Let x(o) = g(o) + 3*k(o). Calculate t*s(i) + 4*x(i).
-i - 1
Let o(z) = z**2 + 1. Let q(b) = -b**2 + 1. Give -2*o(r) - 4*q(r).
2*r**2 - 6
Suppose 14*j + 19 = -23. Let w(c) = -2*c**2 + 3. Let v(o) = -2*o**2 + o + 4. Give j*w(i) + 2*v(i).
2*i**2 + 2*i - 1
Let d(r) = 2*r**3 + 2*r**2 - r. Let u(m) = 3*m**3 + 3*m**2 - m. Let n = 38 - 35. Calculate n*u(q) - 5*d(q).
-q**3 - q**2 + 2*q
Let y(f) = f**2 + 4*f + 1. Let p = 1 + 13. Let i(s) = 3*s + 1. Let t(x) = 2*x**2 + 12*x + 3. Let k(n) = -i(n) + t(n). Determine p*y(a) - 6*k(a).
2*a**2 + 2*a + 2
Let v(p) = p**3 + 6*p**2 - 7*p + 3. Let a(q) = 2*q**3 + 11*q**2 - 13*q + 5. Give 4*a(h) - 7*v(h).
h**3 + 2*h**2 - 3*h - 1
Let k(n) = -n - 1. Let h(s) = 3*s + 4. Calculate h(v) + 4*k(v).
-v
Let s(v) = 4*v**3 + 6*v**2 - 6. Let l(y) = 9*y**3 + 13*y**2 - 13. Let b be (-81)/(-36)*16/(-6). Calculate b*l(a) + 13*s(a).
-2*a**3
Suppose 22*q = 17*q + 25. Let y(u) = 6*u**3 + 4*u**2. Let w(p) be the first derivative of 5*p**4/4 + p**3 + 1. Determine q*w(d) - 4*y(d).
d**3 - d**2
Let w(f) = -4*f**3 - 12*f. Let y(d) = d**3 + d - 1. Determine w(u) + 2*y(u).
-2*u**3 - 10*u - 2
Suppose -v + 9 = 11. Let s(b) = -5*b + 15. Let q(w) = w - 3. What is v*s(m) - 11*q(m)?
-m + 3
Let k(i) = 12*i**2 + 4*i - 4. Let l(y) = -13*y**2 - 5*y + 5. Determine -5*k(h) - 4*l(h).
-8*h**2
Let v be (-1)/(3*2/12) + 7. Let w(z) be the third derivative of 7*z**5/60 + z**4/8 - z**3/6 + z**2. Let t(m) = -8*m**2 - 4*m + 1. Give v*t(i) + 6*w(i).
2*i**2 - 2*i - 1
Let b(r) = r**3 - 20*r**2 - 2*r + 35. Let s be b(20). Let u(o) = 6*o**3 + o + 6. Let z(k) = -7*k**3 - k - 7. Calculate s*u(a) - 4*z(a).
-2*a**3 - a - 2
Let l(y) = -2*y + 3. Let s(z) be the second derivative of z**3/3 - 2*z**2 - 6*z. Determine 4*l(q) + 3*s(q).
-2*q
Let l(b) = -10*b**3 + 4*b - 4. Let r(c) = 40*c**3 - 15*c + 15. Give 15*l(j) + 4*r(j).
10*j**3
Let z(j) = 2*j + 2. Let h(f) be the second derivative of -f**3/2 - 3*f**2/2 + 2*f. Let g = 6 - 1. Calculate g*h(l) + 7*z(l).
-l - 1
Let l(p) = -8*p**2 + 2*p - 2. Let z(x) = -x**2. Let o(i) = -l(i) + z(i). Let t(k) = -k**2 + k. What is o(w) + 5*t(w)?
2*w**2 + 3*w + 2
Let p(t) = -11*t + 6. Let c(h) = -32*h + 17. Suppose 19*g = 17*g + 34. Calculate g*p(i) - 6*c(i).
5*i
Let j(s) = 4*s**2 - 7*s + 2. Let m = 63 + -58. Let t(g) = -6*g + 1 + g**2 + 1 + 2*g**2. Give m*j(u) - 6*t(u).
2*u**2 + u - 2
Let t(f) = 1. Let o(m) = -2*m - 2. Calculate o(y) + t(y).
-2*y - 1
Let i(z) = z - 1. Let m(g) = g + 1. Calculate 2*i(h) + m(h).
3*h - 1
Let j(z) be the first derivative of 7*z**4/4 - 7*z**3/3 + z**2/2 - 19. Let l(t) = 10*t**3 - 10*t**2 + t. Determine 7*j(r) - 5*l(r).
-r**3 + r**2 + 2*r
Let s(x) = 5*x**2 - 2*x - 1. Let g(r) = -6*r**2 + 3*r + 2. Determine -2*g(l) - 3*s(l).
-3*l**2 - 1
Let l(w) = -6*w - 4. Let k(b) = -b - 1. Determine 2*k(q) - l(q).
4*q + 2
Let r(g) = -5*g**3 + 2*g**2 - 2*g - 2. Let l(v) be the third derivative of -11*v**6/120 + v**5/12 - 5*v**4/24 - 5*v**3/6 + 26*v**2. Calculate 2*l(b) - 5*r(b).
3*b**3
Let u(x) = -5*x**2 - 4*x. Let t(c) = -14*c**2 - 11*c. Suppose 2*d - 4*d = 5*s + 7, -d = 5*s + 11. Let v be (-2)/6*-11*-3. Give d*t(i) + v*u(i).
-i**2
Let t(x) = 13*x**3 - 78*x | {
"pile_set_name": "DM Mathematics"
} |
.
-315*sqrt(19)/34 + 16
Simplify sqrt(133)/(sqrt(56)/sqrt(8)) + (sqrt(171)*-1)/sqrt(9) - (3 + -4*sqrt(171)/(sqrt(225) - sqrt(9)))**2.
-28 + 6*sqrt(19)
Simplify (-4*(sqrt(119) + -1*sqrt(119)*1)*-2)/(-4*((sqrt(112)/sqrt(4))/sqrt(4) + sqrt(63)*-1)).
0
Simplify ((0 + sqrt(700) + -3)*-3)**2 + -5 - (6*(-2*sqrt(567) + 4 + sqrt(567) + sqrt(567))**2 + -5).
-540*sqrt(7) + 6285
Simplify (3 + 3*1*sqrt(72) - -1*5*sqrt(2592))**2.
1188*sqrt(2) + 78417
Simplify (sqrt(363) + (-3*(sqrt(363) + 1))**2 - -1*sqrt(363)*-2) + (sqrt(9)/sqrt(3)*-5 - sqrt(108)/sqrt(4))**2 + 2 + 5.
187*sqrt(3) + 3475
Simplify (-3*(2*sqrt(3328) + sqrt(3328) + sqrt(3328)) - 6*(sqrt(3328) - (-2*sqrt(3328) + sqrt(3328))))/((sqrt(192)/(sqrt(12) + sqrt(108)))/(sqrt(196)*-2)).
10752*sqrt(13)
Simplify ((-3*sqrt(187)*6)/(-1*sqrt(1584) - sqrt(11)) - (-3*sqrt(119)*2)/sqrt(7)*5)**2.
2829888/169
Simplify 2 + (sqrt(832) - (-2 + sqrt(832))**2) + (sqrt(832) - (sqrt(832)*-2 + sqrt(832)))**2*3 - (4*(sqrt(13) + -4 + sqrt(13))*-4)**2*1.
-8258 + 4136*sqrt(13)
Simplify (sqrt(84)/(sqrt(36)/sqrt(3)) + (sqrt(7) - -2*sqrt(63)) + sqrt(7) + 0)**2*1 - (-3*(6*sqrt(7)*-1 + (1 + sqrt(252) - sqrt(252))) + 0)**2.
-1710 + 108*sqrt(7)
Simplify (sqrt(243) + (1 + sqrt(243))**2)*2 + -1 + (sqrt(18) - sqrt(54)/sqrt(27) - sqrt(18))/((sqrt(72)*-2 - sqrt(72))/sqrt(12) - sqrt(6)).
649*sqrt(3)/12 + 487
Simplify 2 + -3 + (sqrt(209) - -2*-2*sqrt(209) - sqrt(209))/(sqrt(275)*-6)*-6.
-4*sqrt(19)/5 - 1
Simplify (-1 + -2*((sqrt(539) + (1 + sqrt(539) + sqrt(539))**2*6 - sqrt(539)) + 5 + 1))*2.
-51794 - 672*sqrt(11)
Simplify (((sqrt(14)*2)/sqrt(7) - (sqrt(2) + sqrt(2) + -1 + 0)) + (-5*(sqrt(24) + -4*sqrt(24)))/sqrt(12) + 0)**2.
30*sqrt(2) + 451
Simplify (3 + (3 + 2*sqrt(3) - (sqrt(432))**2) - (-5 + sqrt(192) + 2 + -4)) + 4.
-415 - 6*sqrt(3)
Simplify (-4*(sqrt(2880) - (sqrt(2880) + -3*sqrt(2880)*-2)))/(sqrt(80)/(sqrt(8)*3) - (sqrt(110) - sqrt(110)*-1)/sqrt(11)).
-864*sqrt(2)/5
Simplify 2*((sqrt(11) + 0)**2*3 - -5*3*sqrt(11)) - ((sqrt(11) + 0)*-3 - (3 + sqrt(1100)))**2*2.
-3670 - 126*sqrt(11)
Simplify (((sqrt(121) - -5*(2*sqrt(121) - sqrt(121)) - (sqrt(121) + (1*sqrt(121) - sqrt(121)))*-6)*-4)/(sqrt(99)*-2*-6*-4))**2.
11/9
Simplify 5 + -5*(((sqrt(637) - 1*sqrt(637)) + 3 - sqrt(637)) + 4 - -2*(-2*sqrt(637)*6)**2).
-917310 + 35*sqrt(13)
Simplify ((3*3*sqrt(100)*-1)/(-5*5*(sqrt(128) + sqrt(128)*2 + sqrt(128) + sqrt(128))))**2.
81/20000
Simplify ((2*(4 + sqrt(612) + -1 + 4 + -4*(1 + sqrt(612))))**2 + -5)*6*-2.
-264756 + 5184*sqrt(17)
Simplify (sqrt(1344)*3)/(1*sqrt(252) + sqrt(252)) - (sqrt(21) + (sqrt(21) - sqrt(567)/sqrt(3)) + sqrt(21))/(sqrt(7) + sqrt(847)*-3 + sqrt(847)).
2*sqrt(3)
Simplify (-1 + (-4*((2*sqrt(243) + sqrt(243))*3 + -1) - (1*(5 + sqrt(243) + sqrt(243) + -1) + -2)))**2.
-684*sqrt(3) + 350893
Simplify -6*((0 + sqrt(405) + sqrt(405) + 0 + -3)**2 + ((-3 + sqrt(80))**2 - 3*sqrt(80)))*-6.
-5184*sqrt(5) + 61848
Simplify (((-1*sqrt(168)*1)/((1*sqrt(120))/sqrt(10)))/(sqrt(343) + -1*sqrt(343) - (-1*sqrt(70))/sqrt(10)))**2.
2
Simplify (sqrt(110) - (-3*sqrt(110)*-2 - sqrt(110)) - sqrt(110) - sqrt(110))/(sqrt(100)/(sqrt(30)/sqrt(3))) + (sqrt(22)/sqrt(2) + 2 + 1)**2*2 + -5.
6*sqrt(11) + 35
Simplify -6*(-2*2*sqrt(204) + sqrt(204) - 6*sqrt(204)*2)/(sqrt(1452) + (sqrt(1452)*-2*2 - sqrt(1452))).
-45*sqrt(17)/22
Simplify (5*sqrt(152)*2 - (sqrt(152) - (sqrt(152)*-2 - sqrt(152)))*5)/(((sqrt(120)*2 + sqrt(120) + sqrt(120) + sqrt(120) + sqrt(120))/sqrt(3))/sqrt(5)).
-5*sqrt(19)/3
Simplify (sqrt(2420)*3)/(1*sqrt(64)) + (-2 + (sqrt(720) - (2*(sqrt(720) + 2 - sqrt(720)) - sqrt(720)))**2)*-6.
-17364 + 4641*sqrt(5)/4
Simplify ((sqrt(720) - (-3 + sqrt(720))*-1)*-4 - -6*(sqrt(720) + 2 + -2))**2.
-576*sqrt(5) + 3024
Simplify (-3 + -3*-4*(-3 + sqrt(833) + -1 + sqrt(833)) + -3)*5 + 0.
-270 + 840*sqrt(17)
Simplify ((sqrt(400) - sqrt(400)*1)/sqrt(8)*-5)**2 - (-5 + (-4*sqrt(294))/sqrt(3)).
5 + 28*sqrt(2)
Simplify ((2*sqrt(117) + sqrt(117))*-1)/(sqrt(9)*3*4) + (-5*5*3*1*sqrt(13)*2)**2.
-sqrt(13)/4 + 292500
Simplify (1*sqrt(1260)*-2)/(sqrt(63)*-3 + sqrt(7) + -1*sqrt(112)) + 2 + 0.
2 + sqrt(5)
Simplify ((sqrt(396)*-2*-2 - sqrt(396))/(sqrt(9)*1*-2))/((sqrt(4) - sqrt(20)/sqrt(125)) + sqrt(64)*2 + sqrt(64) + sqrt(4) + sqrt(4)).
-15*sqrt(11)/148
Simplify (((3 + 2*sqrt(2))*-3*-2 - (sqrt(22)*2*6)/(-5*sqrt(11)*-2))*-4 + -2)**2.
31968*sqrt(2)/5 + 230212/25
Simplify (1 + sqrt(2736) + 2 + 2 + 2 + 4*-3*(4 + sqrt(2736) + sqrt(2736) + 1))**2.
29256*sqrt(19) + 1450153
Simplify (-4*((sqrt(171) - -4*sqrt(171)) + 0) + (-1*(sqrt(171) + (sqrt(171) - -1*sqrt(171)) + sqrt(171)))/(sqrt(9) - -3*sqrt(36)/sqrt(4)))**2.
70699
Simplify (1 + (sqrt(140) - 1*sqrt(140) - (sqrt(385)*2)/sqrt(11))/(sqrt(49)/(sqrt(28)/sqrt(4) + sqrt(7)) + sqrt(7) + (sqrt(7) - 6*(sqrt(7) + sqrt(7)*-1))))**2.
-8*sqrt(5)/5 + 21/5
Simplify (-5*(sqrt(2662)*1 - (sqrt(22)*1 - sqrt(22))*4))/((sqrt(72) - 2*sqrt(72))*-1*4).
-55*sqrt(11)/24
Simplify (sqrt(2673)*-1)/sqrt(3) + 6*sqrt(396)*-2 + sqrt(396) + ((sqrt(528)*1 - sqrt(528))*-1)/sqrt(12)*4.
-75*sqrt(11)
Simplify (sqrt(400)*-1 + 3*sqrt(64))/(4*((sqrt(8) - (sqrt(40)/(2*sqrt(5)) - sqrt(8))) + sqrt(968)*-2)).
-sqrt(2)/82
Simplify -3*((sqrt(50)/(sqrt(12)/sqrt(6)))/(-3*sqrt(5)*2) + ((1 + sqrt(405))*1 + (4 + 1*sqrt(405) - sqrt(405)))**2).
-1290 - 539*sqrt(5)/2
Simplify (-3*(sqrt(132) - -1*sqrt(132)) + sqrt(132)*4*-6)/(2*(sqrt(3888) + 3*sqrt(3888) + sqrt(48))).
-15*sqrt(11)/74
Simplify ((sqrt(320) - (sqrt(320)*2 - sqrt(320))*-6) + -6*(sqrt(320)*1 + sqrt(320) + sqrt(320)))/(sqrt(128)/sqrt(2) - -3*(sqrt(64) + sqrt(4))).
-44*sqrt(5)/19
Simplify ((2 + -5 + sqrt(2057)*-4 + sqrt(2057) + ((sqrt(2057) + 1 - sqrt(2057)) + sqrt(2057) - sqrt(2057))*5)**2 + -1 + 5)*-1.
-18521 + 132*sqrt(17)
Simplify (5 + (6*((sqrt(272) - sqrt(272)*1)*-1 - (-5 + 2 + sqrt(272) + sqrt(272))))**2)*-5.
-197485 + 8640*sqrt(17)
Simplify -2 + (sqrt(198)*2)/(sqrt(275) - (sqrt(275) + -1*sqrt(275))) + ((2 + sqrt(72) - sqrt(72) - sqrt(2))**2 - ((1*sqrt(162))**2 - sqrt(2)))*4.
-626 - 54*sqrt(2)/5
Simplify (sqrt(75) + -4 + (sqrt(3) - (sqrt(27) + 1)) + 3*sqrt(3) + 0 + (-4*sqrt(18))/sqrt(6) + sqrt(3))**2.
-30*sqrt(3) + 52
Simplify 2 + (3*3*(sqrt(128) + -1) + (sqrt(128) + 2*sqrt(128) + 0)*3)**2.
-2592*sqrt(2) + 41555
Simplify 3 + (sqrt(99)/(sqrt(6)/(sqrt(2) - sqrt(18))))/((sqrt(3) - (sqrt(192) + (sqrt(192) + sqrt(192)*1 - sqrt(192)) - sqrt(192)) - sqrt(3))*-3).
-sqrt(11)/12 + 3
Simplify (6*(4 + (sqrt(3) - ((-1 + sqrt(3))*-5 + sqrt(3)) - (sqrt(9)/sqrt(3) + -1) - sqrt(96)/sqrt(2)*1)))**2.
0
Simplify (-3*sqrt(2268))/(sqrt(9) + sqrt(9)*-1*-3 + sqrt(9)) + (5*sqrt(63)*-3)/(sqrt(54)/sqrt(6)*-3).
7*sqrt(7)/5
Simplify ((6*(sqrt(51) - (sqrt(306)*-3 - sqrt(306))/sqrt(6)))/(1*sqrt(192)*2))**2*6.
11475/32
Simplify ((-4*sqrt(4)/sqrt(2) - (-1 + sqrt(50)) - (2*sqrt(490) + sqrt(490) - sqrt(10))/(sqrt(15)/(sqrt(12) + sqrt(3)))) + 5)**2.
-828*sqrt(2) + 9558
Simplify ((sqrt(51) + sqrt(255)/sqrt(5))*-1 + sqrt(51) + sqrt(51))/(sqrt(3)*-1*-4 + sqrt(3)) + (2*sqrt(1088) + 4 + 6*-1*sqrt(1088) + -1)**2 + 2.
-192*sqrt(17) + 17419
Simplify 4*((sqrt(528) + 2*sqrt(528))/(sqrt(3) - (sqrt(192) - sqrt(48))) + sqrt(44)/(sqrt(4) + sqrt(16)*1 + sqrt(4)) + -3).
-15*sqrt(11) - 12
Simplify ((4 + sqrt(117)*-2 - 1*-1*sqrt(117) - (sqrt(39)/sqrt(3)*1 - (sqrt(208) + -5 - sqrt(13))))*2 + 3)**2.
-4*sqrt(13) + 53
Simplify (sqrt(104) + (-1*-1*sqrt(104) - sqrt(104)))/(sqrt(24)/sqrt(75) + sqrt(8)) - 6*(3 + sqrt(117)/sqrt(225))**2.
-1428/25 - 191*sqrt(13)/30
Simplify (((1*sqrt(180)*2)/(sqrt(10)*-1*6 + sqrt(10)))/(sqrt(648)/((sqrt(144)/sqrt(6))/sqrt(2))))**2.
4/75
Simplify (5*sqrt(432)*-2 + 2)*3 - (2 + (((sqrt(3)*3)**2 - sqrt(3)) + -1)*-2*2).
-364*sqrt(3) + 108
Simplify (-3*((sqrt(75) - (3 + sqrt(75))) + -5))**2 + (4*1*(sqrt(75) + 2))**2.
320*sqrt(3) + 1840
Simplify (((sqrt(405) + sqrt(405) + 1)*-4 + 5 + sqrt(405)*4)*-2*-3)**2 + -3 + -1.
-2592*sqrt(5) + 233312
Simplify -2 + (5*2*sqrt(5600))/(1*(sqrt(128) - -1*sqrt(128)) - sqrt(128)).
-2 + 25*sqrt(7)
Simplify (4*((sqrt(468)*-1 - -6*sqrt(39)/sqrt(3))*-3 - (sqrt(468) + 1*sqrt(468) + 5 - (sqrt(468) - sqrt(468)*-2)*4))*-6)**2.
-345600*sqrt(13) + 26971200
Simplify (-4 + (-3*sqrt(1008)*2)**2)*-2 - (sqrt(1008) + (5 + sqrt(1008)*-2)**2 + 3 + sqrt(1008)*-2 + -1).
-76627 + 252*sqrt(7)
Simplify (3*((sqrt(475) - (sqrt(475)*2 + 2)) + sq | {
"pile_set_name": "DM Mathematics"
} |
. Let h = c + -1. Solve d*x - 9 = h*x for x.
3
Suppose 0 = -3*a - 6 + 27. Let f(h) = -6*h + 5*h - h**3 + 10 + 6*h**2 + 8*h. Let y be f(a). Solve -w = w + y for w.
-5
Let c = 50 - 45. Solve 0*f = f - c for f.
5
Suppose 5*p + 5*z - 55 = -0*p, 3*z + 12 = 0. Solve -5*n = -0*n + p for n.
-3
Suppose 2*y + r = 2*r - 1, 3*y + 19 = 5*r. Solve 4 - 10 = -y*q for q.
3
Let a(d) = d + 8. Let x be a(-3). Solve 0 = x*b + 3 + 17 for b.
-4
Let f(p) = 2*p. Let c be f(2). Suppose 1 + 8 = c*d - 3*u, u + 3 = -2*d. Solve 3*l - l = d for l.
0
Let r = 139 - 120. Solve -3*u - r = -4 for u.
-5
Suppose -2 = -k + 3*k, -1 = -2*l - k. Let n be 1*(-1)/l*4. Let w = 7 + n. Solve -3 - 6 = -w*i for i.
3
Suppose -15 = -3*p - 4*c, -2*p + 15 = p - c. Solve -5*l - p = 5 for l.
-2
Let x(r) = 3*r**3 + r**2 - 2*r + 1. Let o be x(1). Let s(b) = 3*b + 0*b - 2*b + 1 + 4*b. Let c be s(1). Solve -c*q = -o*q for q.
0
Suppose 0 = -3*s + 3*u + 33, 0*s = -s - 5*u - 13. Solve -k - 6 + s = 0 for k.
1
Suppose -8*y - 5*z - 5 = -3*y, 2 = 4*y + 2*z. Solve -4*v - y = -10 for v.
2
Suppose 5*y + 22 = 3*t - 4, t = 2*y + 9. Let v = t - 4. Solve -2*k - v*k = 15 for k.
-3
Let g = 0 - -3. Solve 2*s + g = 5 for s.
1
Let k = 2 + -2. Let c be (-2 - -2)/(-3) + k. Solve 6*d - d - 10 = c for d.
2
Let p(a) = 19*a**2 + 1. Let g be p(1). Suppose -2*d + g = 2*d + 4*w, 0 = 2*d + w - 8. Suppose -d = 4*o - 23. Solve -o*n - 9 = 1 for n.
-2
Let i = -12 - -22. Let y be i/(-25) - 42/(-5). Solve 2*l = -0*l + y for l.
4
Let h be (2/(-6))/((-3)/27). Suppose i + 36 = -h*i. Let t be ((-60)/i)/((-3)/(-9)). Solve -5*o = -t - 5 for o.
5
Let a be ((-4)/((-32)/(-10)))/((-1)/12). Solve -h = 4*h - a for h.
3
Let n(q) be the first derivative of q**4 + q**3/3 - q**2 + q - 2. Let y be n(1). Solve -p - 9 + y = 0 for p.
-5
Suppose 7*a - 95 + 32 = 0. Solve a = -4*k + 21 for k.
3
Suppose -4*q - q = 2*f - 1, 4*q - 2*f + 10 = 0. Let n be (0/q - -6)/1. Solve -g - n = g for g.
-3
Suppose -2*p - 7 = -p. Let o(a) = -a**2 - 8*a - 3. Let w be o(p). Suppose 4*g - 29 = -2*n - n, w*n = g + 7. Solve 10 + g = -3*t for t.
-5
Suppose 0 = -3*n + z + 18, n = 2*n + 2*z - 6. Let w = n + -3. Solve -2 = -k + w for k.
5
Suppose -5*o + 0*o + 10 = 0. Suppose 5*x - 16 = 9. Suppose -p + 16 = 3*u, 3*p + 0*p - x*u + 22 = 0. Solve 0 = -o*v - 3 + p for v.
-1
Let l be (-2)/(-5) - 4/10. Suppose -2*b = m - 19, l*b = b - 2*m - 7. Suppose 5 = o, -3*z + 2*o = -2*z - 24. Solve 5*w - b = -z for w.
-5
Let m(t) = 2*t**2 + 8*t + 2. Let l(o) = o**2 + 8*o + 1. Let j(b) = -3*l(b) + 2*m(b). Let y be j(8). Let n be -1 - (-6 - 0 - y). Solve h + n = 3*h for h.
3
Let l(w) = 5*w + 1. Let t(y) = 4*y. Let d(p) = -2*l(p) + 3*t(p). Let b be d(3). Solve 17 = b*n + 5 for n.
3
Suppose 4*r = -0*r. Let m be r/(0 + 1) + 1. Solve -u + 2*u = -m for u.
-1
Let v(t) = t**2 + 4*t - 3. Let n be v(2). Let h(j) = 2*j - 1. Let i be h(2). Solve 0*z = -i*z - n for z.
-3
Let c(v) = 2*v. Let i be c(1). Solve 0*f - i*f = 2 for f.
-1
Let o = -10 + 12. Solve o*y + 3 = 5 for y.
1
Let v be ((-4)/(-14))/(-5 + 36/7). Solve 5*x = v - 27 for x.
-5
Let f be 6 + -2 + (6 - 5). Suppose -4*x + f*a = -28, a + 2*a = -12. Solve -i - 2 = -x*i for i.
2
Let r = 1 - 1. Suppose r*j = 4*j - 12. Solve j*b = -b for b.
0
Let v(k) = -2*k - 2. Let b be v(-5). Solve 0 = -2*m - b for m.
-4
Suppose 4*f + f + 110 = 0. Let r be 32/(-6)*33/f. Solve -4 = -r*a + 4*a for a.
1
Let j be (-14)/(-21)*(1 + 2). Suppose 0*o = -o. Solve -j*t - 2*t = o for t.
0
Suppose 8*a - 40 + 8 = 0. Suppose 3*d = j + 1, -2*d - 4*j + 19 = -j. Let g = d - 2. Solve 0 = -g*k - a*k - 12 for k.
-3
Let y(d) = -2*d. Let i be y(3). Let k(t) be the third derivative of t**5/60 + t**4/4 + 7*t**3/6 + t**2. Let f be k(i). Solve -4*c + 1 = -f for c.
2
Let b(z) be the first derivative of 9/2*z**2 - 1 + 3*z + 10/3*z**3 + 1/4*z**4. Let m be b(-9). Solve -m*f = f - 8 for f.
2
Let r be (-2)/2 + 3/1. Suppose -r*v - 4 = -4*v. Let s be 3/6*5*v. Solve 5*d + 20 = s for d.
-3
Let k(s) = s**2 + 12*s - 24. Let r be k(-14). Solve 0*o - 4*o - r = 0 for o.
-1
Let r(n) = n**2 - 2*n + 1. Let t(b) = b**2 - 3*b + 4. Suppose 0*x - 5 = 5*x + 4*d, d = -x - 2. Let u be t(x). Let o be r(u). Solve 0 = 4*g - 3 - o for g.
3
Suppose -h + 5*p + 15 - 6 = 0, 3*h - 3*p = 15. Solve -2*t + h = 6 for t.
-1
Let m(d) = d**2 + d - 1. Let h(s) = -s**2 + 6*s - 5. Let v(k) = -h(k) - 2*m(k). Let n be v(-8). Solve -n + 4 = -f for f.
3
Suppose 10*h = 3*h + 14. Solve -h*t - 3 + 1 = 0 for t.
-1
Suppose -3*u = 2*s - 0*s - 11, s + 5*u = 9. Suppose -2*y = y + 2*o - 25, 0 = -5*y - 4*o + 43. Solve -1 = s*h + y for h.
-2
Let c be (1/4)/((-7)/(-812)). Suppose 5*g = 5*a + 5, -3*a - 5*g + c = -0. Solve -a*b - 11 + 2 = 0 for b.
-3
Suppose -2 = d - 7. Solve k - d = -2 for k.
3
Suppose 4*p - 5*h + 9 = 0, 3*h = -2*p + 9 + 14. Solve m - 2 = -p for m.
-2
Let a(h) = h**2 + h - 2. Let l be a(2). Suppose -3*x = -l*v - 4, 0*v + 4*x = -3*v - 28. Let g = -1 - v. Solve -o - g*o = 20 for o.
-5
Suppose 0 = 2*n - 0*n - 10. Suppose -2*r = n*g + 2, 4*g + 16 = 3*r + 2*g. Solve 3*x - 5*x = r for x.
-2
Suppose 6*m - 6 - 12 = 0. Solve p + 1 = -m for p.
-4
Let d(f) = -4*f - 1. Let b be d(-1). Let m be ((-16)/4 + 1)/(-1). Suppose 6 = m*h, 0 = -3*p + h - 4 + 23. Solve b = 4*o + p for o.
-1
Suppose 4*a + 3 = i, i = a + 2 + 1. Let w = -2 + 4. Suppose -c + 1 + w = 0. Solve a*n = -c*n - 15 for n.
-5
Let c = -13 + 25. Suppose 2*d + 3*l - c = 0, 2*l - l = d + 4. Solve d = -4*j + 2*j - 2 for j.
-1
Let w = -6 + 8. Suppose w*r = -3*j + 29, -34 = -j - 2*j - r. Solve 0 = -3*a - j + 1 for a.
-4
Let c be (3 - -1)*(-12)/(-16). Solve -4*f = 5 + c for f.
-2
Suppose 2*m - 1 - 9 = 0. Suppose m*w + 13 - 43 = 0. Solve 4*d - w = -14 for d.
-2
Let k = -4 - -8. Let m = -27 - -31. Solve -20 + k = -m*u for u.
4
Let z be (3 - 1)*34/4. Let w = z + -15. Solve w*a = -a + 15 for a.
5
Let t(a) = -4*a - 24. Let n be t(-7). Solve -z - n = 3*z for z.
-1
Let w(o) = o**2 + 9*o. Let z be w(-9). Solve 3*m - 11 + 2 = z for m.
3
Suppose -23 = 3*c - 5*h - 114, -3*h - 59 = -2*c. Solve -c - 3 = -5*s for s.
5
Suppose 2*i = -0*i + 10. Suppose 2*j = -4*c - 16, 0 = -5*j - 3*c + i*c + 8. Solve 2*x = -j*x for x.
0
Suppose -4*q - 4*k - 3 = -19, 7 = -2*q + 3*k. Suppose -7 = -2*m + q. Suppose s - m = -1. Solve -1 - 2 = s*z for z.
-1
Let r be (0 + -2)*10/4. Let c = r - -5. Solve -4*b + 7 + 13 = c for b.
5
Suppose l - 39 = -31. Solve 3*h - 23 = -l for h.
5
Let d(p) = p**3 + 8*p**2 - 8*p + 9. Suppose 0*t = -2*t - 18. Let c be d(t). Solve 2*a = -c*a for a.
0
Suppose -85 = -2*u - 5*c, -3*u = -2*c - 18 - 62. Suppose 6*w + u = 4*w. Let y = w - -27. Solve v = -3*v - y for v.
-3
Suppose -4*v + 25 = v - 5*h, -5*h = -v - 7. Solve -4 = -7*t + v*t for t.
-4
Suppose -5*o = 2*t - 33, -20 = -o - 3*o. Let c be (t/(-7))/(10/(-35)). Suppose -5*x - 4*b = -26, -2*x - 3*x + c*b + 2 = 0. Solve 0 = x*r + 5 + 1 for r.
-3
Suppose 6*a - 20 = -4*a. Solve 3 = -a*c - c for c.
-1
Let t = 4 - -1. Solve 0 = t*y - 3*y + 10 for y.
-5
Let t be -3*(-1)/((-1)/(-2)). Let m = t + -2. Suppose 0 = -3*f - 0*f. Solve f = -9*q + m*q + 25 for q.
5
Suppose 0 = -t - 2*a + 9, 5*t + 12 = t + 4*a. Let p(l) = 5*l + 2 + 0 + 1 - 4. Let h be p(t). Solve -5 = -h*u - u for u.
1
Let l(m) = m - 11. Let z(y) = -3*y + 32. Let s(n) = -17*l(n) - 6*z(n). Let u be s(7). Solve u*h = h - 3 for h.
-3
Suppose 4*k - k = 6. Solve -1 + k = s for s.
1
Suppose -5*o - 4*g + 26 = 0, 5*o - 33 = -2*g + 5*g. Solve 0 = 3*l - o - 9 for l.
5
Suppose 3*j = -5*f + 60, -4*j = -6*f + 4*f - 2. Solve f*t = 7*t - 8 for t.
-4
Suppose -2*r + 16 = 4*h, -r = -3*h - 0*r + 7. Solve h*b + 4 = b for b.
-2
Suppose 0 = -t + 4*t - 60. Solve -4*z + t = -0 for z.
5
Suppose d + o = 6*o + 18, 3*o - 6 = -5*d. Solve -8*m + d*m = 15 for m.
-3
Suppose 16 = -i + 4*l, -3*i - 2*l + 12 = l. Solve i = -q + 1 + 1 for q.
2
Suppose -17 = -2*u + 3. Suppose 3*v + 2*v - 26 = -2*h, 2*h - 4*v = -u. Suppose 0 = -h*i - 9, -r - 5*i + 14 = -3*i. Solve q - r = 5*q for q.
-5
Suppose -3*v + 5*v - 28 = 0. Solve v = -3*c + 5 for c.
-3
Let g = -8 + 11. Let b be 0*(-1 + -1 + g). Solve -v = -b*v - 3 for v.
3
Suppose 0 = 2*o + 3*q - 4 - 2, o = -3*q. Let p be ((-20)/2 - -3)/(-1). Suppose 3*g - p*g = 0. Solve g = f + o - 2 for f.
-4
Suppose -3*x - 1 + 16 = 0. Suppose 0*z - 3*z - 3 = -3*o, o = 5*z - 3. Suppose 4*w - d - 7 = 0, w + o*d - 5 = -1. Sol | {
"pile_set_name": "DM Mathematics"
} |
m of 52472, 104944, 157406, 209852, 262276?
-k**3 + k**2 + 52476*k - 4
What is the p'th term of 17093, 34183, 51273, 68363, 85453, 102543?
17090*p + 3
What is the a'th term of -8803, -8647, -8491, -8335, -8179?
156*a - 8959
What is the n'th term of -57589, -57602, -57623, -57652, -57689?
-4*n**2 - n - 57584
What is the a'th term of -22448, -22427, -22396, -22349, -22280, -22183?
a**3 - a**2 + 17*a - 22465
What is the f'th term of 4429, 8917, 13405, 17893, 22381?
4488*f - 59
What is the j'th term of -562, -580, -588, -586?
5*j**2 - 33*j - 534
What is the h'th term of -156, -120, -16, 186, 516, 1004, 1680?
5*h**3 + 4*h**2 - 11*h - 154
What is the l'th term of 1499, 3030, 4593, 6194, 7839, 9534?
l**3 + 10*l**2 + 1494*l - 6
What is the r'th term of -22352, -22348, -22342, -22334, -22324, -22312?
r**2 + r - 22354
What is the x'th term of -4302, -8630, -12998, -17424, -21926?
-3*x**3 - 2*x**2 - 4301*x + 4
What is the q'th term of 2704, 10967, 24738, 44017, 68804?
2754*q**2 + q - 51
What is the l'th term of -355, -1417, -3197, -5707, -8959, -12965, -17737, -23287?
-2*l**3 - 347*l**2 - 7*l + 1
What is the h'th term of -652, -986, -1334, -1702, -2096, -2522, -2986?
-h**3 - h**2 - 324*h - 326
What is the v'th term of -107, -163, -243, -359, -523, -747, -1043?
-2*v**3 - 42*v - 63
What is the p'th term of 73, 595, 2013, 4777, 9337, 16143, 25645, 38293?
75*p**3 - 2*p**2 + 3*p - 3
What is the n'th term of 11371, 22714, 34047, 45364, 56659, 67926?
-n**3 + n**2 + 11347*n + 24
What is the w'th term of 4416, 4428, 4464, 4536, 4656?
2*w**3 - 2*w + 4416
What is the k'th term of 504, 1017, 1542, 2091, 2676?
2*k**3 - 6*k**2 + 517*k - 9
What is the m'th term of 2479, 4979, 7479, 9979?
2500*m - 21
What is the p'th term of -287, -657, -1027?
-370*p + 83
What is the w'th term of 93627, 374496, 842611, 1497972?
93623*w**2 + 4
What is the z'th term of -13, -11, 15, 71, 163, 297?
z**3 + 6*z**2 - 23*z + 3
What is the x'th term of 712, 2947, 6704, 11983, 18784, 27107, 36952?
761*x**2 - 48*x - 1
What is the n'th term of -4457, -4416, -4305, -4088, -3729, -3192?
6*n**3 - n**2 + 2*n - 4464
What is the q'th term of -42740, -85515, -128298, -171095, -213912, -256755, -299630?
-q**3 + 2*q**2 - 42774*q + 33
What is the j'th term of 6724, 13758, 20792, 27826, 34860?
7034*j - 310
What is the k'th term of -2185, -8895, -20087, -35767, -55941, -80615, -109795, -143487?
-k**3 - 2235*k**2 + 2*k + 49
What is the s'th term of -177, -625, -1375, -2427, -3781, -5437?
-151*s**2 + 5*s - 31
What is the m'th term of -431, -59, 313, 685, 1057?
372*m - 803
What is the j'th term of -88, -429, -1042, -1957, -3204, -4813, -6814, -9237?
-5*j**3 - 106*j**2 + 12*j + 11
What is the r'th term of -9584, -9596, -9608?
-12*r - 9572
What is the g'th term of 1185, 4841, 10943, 19497, 30509?
g**3 + 1217*g**2 - 2*g - 31
What is the q'th term of 1718, 6810, 15172, 26702, 41298, 58858, 79280, 102462?
-17*q**3 + 1737*q**2 - 2
What is the o'th term of -424, -743, -1088, -1477, -1928, -2459, -3088, -3833?
-3*o**3 + 5*o**2 - 313*o - 113
What is the d'th term of -351, -405, -459, -513, -567?
-54*d - 297
What is the t'th term of 832, 1868, 3096, 4510, 6104?
-t**3 + 102*t**2 + 737*t - 6
What is the b'th term of 909, 1321, 2433, 4593, 8149, 13449, 20841?
58*b**3 + 2*b**2 + 849
What is the a'th term of -291, -576, -839, -1068, -1251?
2*a**3 - a**2 - 296*a + 4
What is the s'th term of -26, 3, 84, 241, 498?
4*s**3 + 2*s**2 - 5*s - 27
What is the a'th term of 241615, 241614, 241613?
-a + 241616
What is the u'th term of 9107, 72864, 245933, 582974, 1138647?
9110*u**3 - 4*u**2 - u + 2
What is the h'th term of -26072, -26085, -26106, -26135, -26172, -26217?
-4*h**2 - h - 26067
What is the g'th term of 4856, 4838, 4808, 4766, 4712, 4646?
-6*g**2 + 4862
What is the w'th term of -4521, -9006, -13491, -17976, -22461, -26946?
-4485*w - 36
What is the t'th term of 197, 440, 733, 1076, 1469, 1912, 2405?
25*t**2 + 168*t + 4
What is the j'th term of 17749, 71022, 159801, 284080, 443853?
-j**3 + 17759*j**2 + 3*j - 12
What is the p'th term of -2748, -5497, -8246, -10995, -13744?
-2749*p + 1
What is the b'th term of 3363, 3522, 3787, 4158, 4635?
53*b**2 + 3310
What is the o'th term of -1327, -1356, -1391, -1432, -1479?
-3*o**2 - 20*o - 1304
What is the v'th term of -2570, -5079, -7588, -10097?
-2509*v - 61
What is the a'th term of 2726, 5450, 8174, 10898?
2724*a + 2
What is the t'th term of -115, -278, -491, -754, -1067, -1430?
-25*t**2 - 88*t - 2
What is the w'th term of 653, 1138, 1637, 2150, 2677, 3218?
7*w**2 + 464*w + 182
What is the c'th term of 9547, 9594, 9641?
47*c + 9500
What is the q'th term of 1984, 7918, 17808, 31654, 49456, 71214, 96928?
1978*q**2 + 6
What is the s'th term of -162, 187, 1136, 2985, 6034?
50*s**3 - s - 211
What is the m'th term of -4603, -18408, -41415, -73624, -115035?
-4601*m**2 - 2*m
What is the x'th term of 3702, 7302, 10800, 14196, 17490?
-51*x**2 + 3753*x
What is the q'th term of -123, -123, 69, 549, 1413, 2757?
16*q**3 - 112*q - 27
What is the j'th term of 312, 248, 140, -12, -208, -448, -732?
-22*j**2 + 2*j + 332
What is the l'th term of -974, -910, -854, -812, -790?
-l**3 + 2*l**2 + 65*l - 1040
What is the m'th term of 25, 35, 63, 115, 197?
m**3 + 3*m**2 - 6*m + 27
What is the h'th term of -74, -1241, -2412, -3587, -4766, -5949, -7136?
-2*h**2 - 1161*h + 1089
What is the t'th term of -12978, -51923, -116832, -207705, -324542, -467343?
-12982*t**2 + t + 3
What is the a'th term of 162, -96, -836, -2298, -4722?
-40*a**3 - a**2 + 25*a + 178
What is the p'th term of 5360, 21449, 48270, 85823?
5366*p**2 - 9*p + 3
What is the p'th term of -255, -529, -827, -1149, -1495?
-12*p**2 - 238*p - 5
What is the a'th term of 126, 300, 528, 810, 1146?
27*a**2 + 93*a + 6
What is the h'th term of -45216, -180846, -406890, -723342, -1130196, -1627446, -2215086?
h**3 - 45213*h**2 + 2*h - 6
What is the s'th term of -20054, -20035, -20016?
19*s - 20073
What is the s'th term of 21648, 43294, 64940?
21646*s + 2
What is the f'th term of 413, 1359, 2929, 5123, 7941, 11383, 15449?
312*f**2 + 10*f + 91
What is the h'th term of 674461, 1348929, 2023397, 2697865?
674468*h - 7
What is the n'th term of -3058381, -3058393, -3058419, -3058465, -3058537, -3058641?
-n**3 - n**2 - 2*n - 3058377
What is the h'th term of 3664, 3583, 3500, 3415, 3328, 3239, 3148?
-h**2 - 78*h + 3743
What is the h'th term of -12412, -12543, -12768, -13093, -13524, -14067, -14728, -15513?
-h**3 - 41*h**2 - h - 12369
What is the y'th term of -2679, -5356, -8035, -10716, -13399?
-y**2 - 2674*y - 4
What is the o'th term of -7, -14, -39, -100, -215, -402, -679, -1064?
-3*o**3 + 9*o**2 - 13*o
What is the j'th term of 492, 648, 844, 1080, 1356?
20*j**2 + 96*j + 376
What is the i'th term of 32578, 32579, 32580, 32581, 32582?
i + 32577
What is the k'th term of 1286, 10274, 34660, 82142, 160418, 277186, 440144?
1283*k**3 + k**2 + 4*k - 2
What is the t'th term of -5, -163, -689, -1799, -3709?
-36*t**3 + 32*t**2 - 2*t + 1
What is the j'th term of -2168, -4329, -6490?
-2161*j - 7
What is the p'th term of 924, 3472, 7722, 13674?
851*p**2 - 5*p + 78
What is the i'th term of -987, -1764, -2539, -3312?
i**2 - 780*i - 208
What is the a'th term of 312, 619, 926, 1233, 1540, 1847?
307*a + 5
What is the t'th term of -9262, -9267, -9272, -9277, -9282, -9287?
-5*t - 9257
What is the b'th term of -25178, -25181, -25184, -25187, -25190, -25193?
-3*b - 25175
What is the a'th term of 1564, 3139, 4722, 6313, 7912?
4*a**2 + 1563*a - 3
What is the r'th term of -3399, -3394, -3387, -3378, -3367?
r**2 + 2*r - 3402
What is the h'th term of 1392, 1389, 1376, 1347, 1296?
-h**3 + h**2 + h + 1391
What is the b'th term of 2832976, 5665954, 8498932?
2832978*b - 2
What is the b'th term of -642, -667, -708, -765, -838?
-8*b**2 - b - 633
What is the j'th term of 87, 202, 303, 384, 439, 462?
-j**3 - j**2 + 125*j - 36
What is the f'th term of -244, -1214, -2186, -3160, -4136, -5114, -6094?
-f**2 - 967*f + 724
What is the n'th term of -62489, -124997, -187505, -250013?
-62508*n + 19
What is the d'th term of 259867, 259849, 259829, 259807, 259783, 259757, 259729?
-d**2 - 15*d + 259883
What is the i'th term of 1386, 1421, 1460, 1503, 1550, 1601, 1656?
2*i**2 + 29*i + 1355
What is the i'th term of 751, | {
"pile_set_name": "DM Mathematics"
} |
) - -2*(0 + sqrt(448))))**2.
4032
Simplify (2 + (-1 + sqrt(5) - sqrt(5)) + (sqrt(5) - (sqrt(120)/sqrt(2) - sqrt(60))/sqrt(12)))**2 - -5*sqrt(45)/(sqrt(900)*2).
9*sqrt(5)/4 + 6
Simplify ((sqrt(156) - -1*sqrt(156)*-6) + -3*sqrt(156)*-2)/(sqrt(108)*-2 - sqrt(108) - (-2*sqrt(432) - sqrt(432))).
sqrt(13)/9
Simplify ((-2*3*sqrt(648))/(sqrt(20)/(sqrt(5) + sqrt(5) + (sqrt(40)*1)/sqrt(8))))**2.
52488
Simplify 4*(1 + sqrt(8) + -2 + 4)*5.
40*sqrt(2) + 60
Simplify -3 + sqrt(117)*-2 + 1 + (5 + -4*(sqrt(117) + -1))**2.
-222*sqrt(13) + 1951
Simplify 4 + (sqrt(48)/sqrt(2)*-5)/(sqrt(32)/(sqrt(4)*2)).
-10*sqrt(3) + 4
Simplify -3*((5*2*-2*sqrt(931))**2 + ((sqrt(931)*2 + sqrt(931))*-1 - 4*(sqrt(931) + sqrt(931)*-1)**2)).
-1117200 + 63*sqrt(19)
Simplify -4 + ((5*(sqrt(196) - sqrt(196)*-2))/(sqrt(84)/(sqrt(12) - sqrt(48)/sqrt(4)*5)))**2.
100796
Simplify sqrt(12)/(sqrt(42)/sqrt(28)) + ((sqrt(72) - (-2 + sqrt(72)))*6)**2.
2*sqrt(2) + 144
Simplify (sqrt(55) - (sqrt(1375) - (sqrt(1375) - (sqrt(1375) - -1*sqrt(1375)))) - (4*sqrt(55)*-1 - sqrt(55) - sqrt(55)))/(sqrt(35)/(sqrt(315)/sqrt(5))).
-9*sqrt(11)
Simplify -3 + (-2*sqrt(605) + sqrt(605) + -3)**2*-5.
-3073 - 330*sqrt(5)
Simplify (sqrt(36)/(sqrt(64) + sqrt(4)) - sqrt(18)/sqrt(2)*3)/((sqrt(18) + 2*sqrt(18)*5)/sqrt(6)).
-14*sqrt(3)/55
Simplify (((sqrt(77)*4*-1 - sqrt(77)) + sqrt(77))/((sqrt(110)/sqrt(2))/sqrt(5)))**2.
112
Simplify -5*-1*(3*sqrt(832) + sqrt(832))*-2.
-320*sqrt(13)
Simplify 3 + sqrt(11) + 3 + sqrt(11) + sqrt(66)/sqrt(6) + (sqrt(11) - sqrt(88)/(sqrt(24)/sqrt(3) + sqrt(8))) + (sqrt(11) + 0)*4.
6 + 15*sqrt(11)/2
Simplify 3*(sqrt(2793)*-1)/(3*sqrt(27)).
-7*sqrt(19)/3
Simplify -6*(0 + (sqrt(7) + sqrt(70)/sqrt(640) - sqrt(7)) + (sqrt(28) - (sqrt(28) + sqrt(112)/sqrt(4) - sqrt(28)))/sqrt(4)).
-3*sqrt(7)/4
Simplify 1 + 2*((sqrt(44) - sqrt(88)/sqrt(2))*-6)/(sqrt(8)/(1*sqrt(2))) + 5.
6
Simplify (sqrt(720) + 1 + 4 + 3)**2 + (((-1 + sqrt(720))*-2)**2 - -4*(sqrt(720) + 0)).
144*sqrt(5) + 3668
Simplify (-3*(sqrt(14) + sqrt(14)*-1 + sqrt(14)) + sqrt(14))/(1*sqrt(63)).
-2*sqrt(2)/3
Simplify (-6*5*(-5 + 4*sqrt(2448) + sqrt(2448) + sqrt(2448))*-3)**2.
-5832000*sqrt(17) + 714039300
Simplify ((sqrt(70) + sqrt(70) + -2*sqrt(70)*6 + sqrt(70) - sqrt(70))*-1)/(sqrt(1440) - 4*(sqrt(1440) + 1*sqrt(1440)) - sqrt(1440)).
-5*sqrt(7)/48
Simplify 0 + sqrt(99)*1 + ((sqrt(22) - sqrt(22)*1)/sqrt(2) - sqrt(11)) + 5*1*sqrt(11).
7*sqrt(11)
Simplify -4*(-2*sqrt(847)*2)**2 - ((sqrt(98)*2)/sqrt(7))/(sqrt(6)/(sqrt(12)/sqrt(4))).
-54208 - 2*sqrt(7)
Simplify 2 + (sqrt(143)/sqrt(11))**2*-3 + (-2 + 5 + sqrt(208))**2.
24*sqrt(13) + 180
Simplify (sqrt(432) - (-3*(sqrt(432) + sqrt(432) + -1*sqrt(432) + sqrt(432)) + sqrt(432)))/(sqrt(32)/((sqrt(8) - sqrt(128)*1) + sqrt(8))).
-72*sqrt(3)
Simplify (sqrt(52) + (sqrt(52) - (sqrt(52) - (sqrt(7488) + (-1*sqrt(7488) - sqrt(7488))))) + sqrt(52) + 2*sqrt(5200) + sqrt(52))/((sqrt(96)*-1)/sqrt(6)).
-11*sqrt(13)/2
Simplify -3*sqrt(1377) - (sqrt(2057)*3 - sqrt(2057))**2 - (1*(sqrt(102)*-2 + sqrt(102)))/sqrt(6)*4.
-8228 - 23*sqrt(17)
Simplify 6*(4 + sqrt(72) + sqrt(72)*1 + -1 + sqrt(72))**2*4.
2592*sqrt(2) + 15768
Simplify -4 + (((sqrt(98) + sqrt(98)*-2)*5)**2 - sqrt(98) - ((1 + sqrt(98))*4)**2)*-5.
-4334 + 1155*sqrt(2)
Simplify ((sqrt(11)*-1)**2 + -4 + -2 + 2)*-4.
-28
Simplify (-1 + (sqrt(1300)*2)**2 + -3 + sqrt(1300) + (sqrt(1300) - (-1 + -1*sqrt(1300))) + sqrt(1300) + -1*-1*sqrt(1300))*-5.
-25985 - 250*sqrt(13)
Simplify (6*(sqrt(220)*1)/sqrt(11))/((sqrt(4) - (2*sqrt(4) + sqrt(4)) - sqrt(4))*2 + ((sqrt(48) - sqrt(144)/sqrt(3)) + sqrt(48))/sqrt(12)).
-6*sqrt(5)/5
Simplify (-5 + (sqrt(10) + sqrt(160)*-2)/sqrt(2) + -1)**2.
84*sqrt(5) + 281
Simplify (3*sqrt(704)*2 - sqrt(704))**2 + (4 + sqrt(176) + (sqrt(396) + 2 - sqrt(11)))**2.
108*sqrt(11) + 18527
Simplify ((sqrt(200) + sqrt(200) + (sqrt(200) - (sqrt(200) - -5*sqrt(200)*-1)))**2 - (sqrt(48)/(sqrt(6)/sqrt(2)))/sqrt(8)) + -3.
-sqrt(2) + 9797
Simplify (sqrt(28) + -1 + sqrt(28))*-4 - (sqrt(1792) + sqrt(1792)*-5 - sqrt(1792)).
4 + 64*sqrt(7)
Simplify ((-6*5*(1 + sqrt(112)) + 2)*2 + 2)**2.
25920*sqrt(7) + 406116
Simplify -5 + sqrt(76)*1 + -3 + (sqrt(76) - (sqrt(76) - (sqrt(76)*1 + -4)))**2.
-14*sqrt(19) + 84
Simplify 1 + 2 + sqrt(252) + (sqrt(252) + 1 + -3 + sqrt(252))**2.
-42*sqrt(7) + 1015
Simplify ((sqrt(95)*2 + sqrt(95) - sqrt(95))*2)/(sqrt(5) - 2*sqrt(405)) - (6*sqrt(171)/sqrt(144)*2)**2.
-171 - 4*sqrt(19)/17
Simplify -5 + -5*sqrt(475)*1 + 2.
-25*sqrt(19) - 3
Simplify 3 + sqrt(45)*-2 + 2 - (sqrt(40)/sqrt(128) + sqrt(5) + 1 + -3 + -1).
-29*sqrt(5)/4 + 8
Simplify (-4 + -3 + sqrt(847))**2 + 3 + (sqrt(847) - (sqrt(847) - (sqrt(847) + -1)*-2)**2) + 0.
-6728 - 11*sqrt(7)
Simplify 5*(0 + sqrt(2))*4 - -1*(sqrt(72) + sqrt(18))/sqrt(9).
23*sqrt(2)
Simplify (sqrt(153) + -2*-1*sqrt(153) + sqrt(153))/(sqrt(36)*3 + sqrt(9)) + -1.
-1 + 4*sqrt(17)/7
Simplify (((1*sqrt(143) + sqrt(143))*-4)/sqrt(11) - -5*sqrt(325)*6)**2.
262132
Simplify ((1 + -4 + sqrt(252) + 1 + 0 + -4)*3)**2.
-648*sqrt(7) + 2592
Simplify ((sqrt(98)*2*-1 - -5*2*sqrt(98)) + 5*(0 + sqrt(98) + 3))**2.
2730*sqrt(2) + 16787
Simplify 1*(-3*sqrt(44)/sqrt(4) + sqrt(704) + 1)*5.
5 + 25*sqrt(11)
Simplify 3 + (0 + ((sqrt(3) + sqrt(3)*2 - sqrt(3)) + -4)**2 - sqrt(12)/(sqrt(36)*2)).
-97*sqrt(3)/6 + 31
Simplify (sqrt(65) + -3*(-2*sqrt(65) - sqrt(65)) + sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65))/sqrt(720) - (1 + 1 + sqrt(52) + sqrt(13) + 0).
-11*sqrt(13)/6 - 2
Simplify (sqrt(550)/(sqrt(11)*-1))**2 - ((sqrt(8))**2 + 5)*5.
-15
Simplify ((-6*6*((sqrt(119) - 1*sqrt(119) - sqrt(119) - sqrt(119)) + sqrt(119)))/(sqrt(28)/(sqrt(4) + sqrt(36)) + (sqrt(112)/sqrt(4))/sqrt(4)))**2.
352512/25
Simplify sqrt(192)*-1 + -2 - ((sqrt(6) + (sqrt(6) - (sqrt(6) - sqrt(24)/sqrt(100))))/sqrt(2))**2.
-8*sqrt(3) - 158/25
Simplify (-5*(2*sqrt(243) - (-4 + sqrt(33)/sqrt(11))))**2.
3400*sqrt(3) + 22075
Simplify ((sqrt(245) - (3*sqrt(245) + 4)) + sqrt(245) - sqrt(245))**2 + sqrt(245) - (sqrt(15)/((-1*sqrt(30))/sqrt(10)))**2.
119*sqrt(5) + 991
Simplify ((3 + sqrt(117) - sqrt(117))*2)**2*1 + (sqrt(117) + -5*sqrt(117)*-1 + -2)**2.
-72*sqrt(13) + 4252
Simplify ((sqrt(22) - ((sqrt(176)*-2)/sqrt(8) - sqrt(22)))/(sqrt(18)/(sqrt(27)/sqrt(3)))*1)**2.
176
Simplify (-2 + ((sqrt(320) - ((sqrt(320) - (sqrt(320) + 1 - sqrt(320))) + 0)) + (sqrt(320) + 1*sqrt(320) + sqrt(320))*-1)*-6)**2.
-2304*sqrt(5) + 103744
Simplify (4 + sqrt(112) + 1 + 2 + ((sqrt(7)*2 - sqrt(7))*5)**2)*-2.
-364 - 8*sqrt(7)
Simplify (sqrt(78) + 6*-2*sqrt(78))/(sqrt(6) + sqrt(24)*-4 + sqrt(6))*-2.
-11*sqrt(13)/3
Simplify (2*sqrt(65)*-4 + (sqrt(65) - -1*sqrt(65)*-2) + sqrt(65))/(-3*((sqrt(405)*3 - sqrt(405) - sqrt(405)) + sqrt(405) + sqrt(5))).
8*sqrt(13)/57
Simplify (-2*(sqrt(156) + (sqrt(156) + -2*sqrt(156))*4 - sqrt(156)))/(1*sqrt(192)*-4).
-sqrt(13)/2
Simplify ((sqrt(187) - (sqrt(187)*-2*1 + sqrt(187) - sqrt(187)))*5)/(sqrt(99)/(sqrt(9) - sqrt(99)/(sqrt(11)*-2))).
45*sqrt(17)/2
Simplify ((sqrt(1323) + 2)*-5 + sqrt(1323) + (sqrt(1323) + 1 + sqrt(1323))*4)**2.
-1008*sqrt(3) + 21204
Simplify ((sqrt(33)*3)/sqrt(3)*6)**2 + (sqrt(275) + ((sqrt(275) + 2 - sqrt(275)) + sqrt(275) - sqrt(275))*-1)**2.
-20*sqrt(11) + 3843
Simplify ((sqrt(156)*-1 - sqrt(156) - sqrt(156))*2)/(sqrt(48)*-3 - sqrt(48)) + -4.
-4 + 3*sqrt(13)/4
Simplify ((-1 + sqrt(405))**2 + -1 - sqrt(405)) + (sqrt(405) + 1 - sqrt(405))**2 + 5 + -5.
-27*sqrt(5) + 406
Simplify 0 + sqrt(45) + -1 + sqrt(15)/(sqrt(3)*-2*-4).
-1 + 25*sqrt(5)/8
Simplify (-5*(sqrt(162) - (1 + sqrt(162)*2))*-1)**2 + 1.
450*sqrt(2) + 4076
Simplify (((3 + sqrt(5)*1 - (sqrt(180) - (2 + sqrt(180)))) + -4*sqrt(605)*2)*3)**2.
-7830*sqrt(5) + 340830
Simplify ((-2 + sqrt(891))*3 + 0)**2 - (3 + (0 + sqrt(891) + sqrt(891))**2 + sqrt(891)*-2 + 0).
-306*sqrt(11) + 4488
Simplify (-5 + 3 + sqrt(64)/sqrt(8)*2)**2.
-16*sqrt(2) + 36
Simplify ((6*((sqrt(143) - -2*sqrt(143)) + sqrt(143)))/(sqrt(11) + sqrt(121)/(sqrt(11) + sqrt(55)/sqrt(5))))**2.
3328
Simplify ((-3*(sqrt(110) - -1*sqrt(110))*-4)/(-1*sqrt(90) + sqrt(10) + (sqrt(10) - (2*sqrt(90) - sqrt(90)))))**2.
396
Simplify (sqrt(300)/(sqrt(20)/sqrt(2)) - 3*(sqrt(30) - sqrt(90)/sqrt(3)))/(sqrt(72)/((2*sqrt(144))/sqrt(12))).
2*sqrt(5)
Simplify -4 + (3 + 4 + sqrt(192) - (0 + (sqrt(192) - sqrt(192)*-3))**2).
-3069 + 8*sqrt(3)
Simplify 1 + 0 + | {
"pile_set_name": "DM Mathematics"
} |
minutes after 9:30 PM?
7:47 AM
What is 158 minutes after 12:05 AM?
2:43 AM
What is 517 minutes after 1:58 PM?
10:35 PM
What is 123 minutes after 6:56 AM?
8:59 AM
What is 570 minutes before 12:25 PM?
2:55 AM
How many minutes are there between 9:47 PM and 6:12 AM?
505
What is 191 minutes after 2:28 AM?
5:39 AM
What is 145 minutes before 12:20 PM?
9:55 AM
How many minutes are there between 1:35 AM and 10:19 AM?
524
What is 504 minutes before 1:57 AM?
5:33 PM
What is 612 minutes before 3:08 PM?
4:56 AM
How many minutes are there between 12:27 AM and 5:30 AM?
303
How many minutes are there between 9:32 AM and 6:48 PM?
556
What is 719 minutes before 4:26 AM?
4:27 PM
How many minutes are there between 9:49 AM and 7:48 PM?
599
How many minutes are there between 6:42 PM and 6:26 AM?
704
What is 300 minutes after 3:57 AM?
8:57 AM
What is 405 minutes after 4:26 AM?
11:11 AM
What is 474 minutes after 8:15 AM?
4:09 PM
How many minutes are there between 8:24 AM and 8:51 AM?
27
What is 115 minutes after 1:47 PM?
3:42 PM
How many minutes are there between 5:42 AM and 3:41 PM?
599
What is 141 minutes after 5:49 AM?
8:10 AM
How many minutes are there between 7:55 PM and 3:48 AM?
473
How many minutes are there between 1:24 PM and 12:05 AM?
641
How many minutes are there between 2:49 PM and 1:44 AM?
655
What is 309 minutes before 7:22 AM?
2:13 AM
What is 355 minutes after 8:02 PM?
1:57 AM
How many minutes are there between 6:29 PM and 1:54 AM?
445
What is 11 minutes before 3:28 AM?
3:17 AM
What is 244 minutes after 10:58 PM?
3:02 AM
How many minutes are there between 5:26 PM and 10:19 PM?
293
How many minutes are there between 9:29 AM and 6:15 PM?
526
How many minutes are there between 9:34 PM and 11:53 PM?
139
How many minutes are there between 11:15 PM and 1:27 AM?
132
How many minutes are there between 10:49 PM and 12:17 AM?
88
How many minutes are there between 4:27 AM and 4:37 AM?
10
What is 82 minutes before 4:17 PM?
2:55 PM
How many minutes are there between 5:53 PM and 10:48 PM?
295
What is 71 minutes before 8:06 AM?
6:55 AM
What is 416 minutes before 1:45 AM?
6:49 PM
What is 670 minutes after 4:41 PM?
3:51 AM
What is 231 minutes before 8:35 PM?
4:44 PM
What is 249 minutes before 8:44 PM?
4:35 PM
What is 655 minutes before 3:35 AM?
4:40 PM
How many minutes are there between 5:59 PM and 9:50 PM?
231
How many minutes are there between 6:18 AM and 12:11 PM?
353
What is 670 minutes after 5:11 AM?
4:21 PM
What is 421 minutes before 12:06 PM?
5:05 AM
How many minutes are there between 9:36 PM and 8:41 AM?
665
How many minutes are there between 6:42 AM and 7:35 AM?
53
How many minutes are there between 1:24 PM and 3:05 PM?
101
How many minutes are there between 8:03 PM and 6:39 AM?
636
How many minutes are there between 6:56 AM and 3:20 PM?
504
What is 344 minutes before 3:26 AM?
9:42 PM
What is 715 minutes before 8:51 AM?
8:56 PM
What is 159 minutes before 4:39 PM?
2:00 PM
What is 607 minutes after 6:03 AM?
4:10 PM
How many minutes are there between 6:12 PM and 8:52 PM?
160
What is 325 minutes before 11:54 AM?
6:29 AM
How many minutes are there between 3:04 AM and 6:18 AM?
194
What is 173 minutes after 11:36 PM?
2:29 AM
How many minutes are there between 6:01 PM and 10:11 PM?
250
What is 10 minutes before 11:42 AM?
11:32 AM
What is 578 minutes before 5:38 AM?
8:00 PM
How many minutes are there between 5:30 AM and 5:19 PM?
709
How many minutes are there between 7:47 AM and 4:32 PM?
525
How many minutes are there between 3:04 AM and 10:52 AM?
468
What is 700 minutes before 7:29 AM?
7:49 PM
What is 14 minutes after 3:51 AM?
4:05 AM
What is 186 minutes after 11:31 PM?
2:37 AM
How many minutes are there between 10:33 AM and 3:22 PM?
289
What is 69 minutes before 8:22 AM?
7:13 AM
What is 291 minutes after 10:25 AM?
3:16 PM
What is 270 minutes after 1:15 PM?
5:45 PM
What is 54 minutes after 6:53 AM?
7:47 AM
What is 564 minutes after 5:48 AM?
3:12 PM
What is 672 minutes after 9:13 AM?
8:25 PM
What is 354 minutes before 7:33 PM?
1:39 PM
What is 559 minutes before 6:58 PM?
9:39 AM
How many minutes are there between 5:38 PM and 10:53 PM?
315
How many minutes are there between 5:54 AM and 11:53 AM?
359
What is 664 minutes after 8:51 PM?
7:55 AM
How many minutes are there between 9:36 AM and 11:08 AM?
92
How many minutes are there between 4:42 AM and 5:35 AM?
53
How many minutes are there between 5:28 PM and 6:10 PM?
42
What is 194 minutes before 12:45 PM?
9:31 AM
What is 547 minutes after 9:20 PM?
6:27 AM
What is 27 minutes after 4:34 AM?
5:01 AM
How many minutes are there between 6:06 PM and 2:17 AM?
491
How many minutes are there between 12:26 PM and 2:48 PM?
142
How many minutes are there between 9:00 AM and 2:18 PM?
318
How many minutes are there between 4:41 PM and 7:52 PM?
191
What is 296 minutes before 6:35 AM?
1:39 AM
How many minutes are there between 12:52 PM and 3:44 PM?
172
What is 191 minutes after 7:44 PM?
10:55 PM
How many minutes are there between 7:49 PM and 8:24 PM?
35
What is 103 minutes before 10:47 AM?
9:04 AM
What is 103 minutes before 2:38 PM?
12:55 PM
What is 625 minutes before 5:54 AM?
7:29 PM
How many minutes are there between 9:28 PM and 9:37 PM?
9
What is 474 minutes before 6:42 PM?
10:48 AM
How many minutes are there between 10:49 AM and 10:07 PM?
678
What is 430 minutes before 8:32 AM?
1:22 AM
What is 283 minutes before 6:47 PM?
2:04 PM
What is 404 minutes after 3:39 AM?
10:23 AM
What is 581 minutes after 6:31 AM?
4:12 PM
What is 126 minutes before 8:35 AM?
6:29 AM
How many minutes are there between 3:29 AM and 3:08 PM?
699
How many minutes are there between 10:03 PM and 9:50 AM?
707
How many minutes are there between 9:19 AM and 8:02 PM?
643
What is 625 minutes after 2:29 AM?
12:54 PM
How many minutes are there between 11:39 AM and 2:26 PM?
167
What is 152 minutes before 8:17 PM?
5:45 PM
How many minutes are there between 12:32 AM and 3:10 AM?
158
How many minutes are there between 6:50 AM and 4:23 PM?
573
What is 496 minutes before 5:33 PM?
9:17 AM
What is 302 minutes after 7:19 PM?
12:21 AM
How many minutes are there between 2:22 AM and 8:16 AM?
354
How many minutes are there between 5:01 PM and 2:56 AM?
595
How many minutes are there between 8:24 PM and 11:03 PM?
159
What is 158 minutes before 8:14 AM?
5:36 AM
What is 315 minutes before 1:16 AM?
8:01 PM
How many minutes are there between 9:04 PM and 12:59 AM?
235
What is 549 minutes before 2:05 AM?
4:56 PM
How many minutes are there between 10:07 PM and 2:56 AM?
289
What is 9 minutes after 3:01 AM?
3:10 AM
How many minutes are there between 9:19 PM and 6:52 AM?
573
How many minutes are there between 1:15 AM and 6:38 AM?
323
How many minutes are there between 3:07 AM and 5:08 AM?
121
How many minutes are there between 11:03 PM and 9:42 AM?
639
What is 145 minutes after 1:13 PM?
3:38 PM
What is 646 minutes before 7:44 AM?
8:58 PM
How many minutes are there between 9:44 AM and 12:31 PM?
167
How many minutes are there between 10:16 AM and 5:01 PM?
405
What is 69 minutes after 1:19 AM?
2:28 AM
How many minutes are there between 11:36 PM and 9:54 AM?
618
How many minutes are there between 1:29 PM and 2:11 PM?
42
How many minutes are there between 4:00 PM and 4:19 PM?
19
What is 372 minutes after 12:21 PM?
6:33 PM
What is 414 minutes before 10:34 PM?
3:40 PM
How many minutes are there between 4:42 AM and 9:51 AM?
309
What is 535 minutes after 11:41 PM?
8:36 AM
How many minutes are there between 10:54 AM and 9:24 PM?
630
How many minutes are there between 9:23 AM and 9:07 PM?
704
How many minutes are there between 5:36 AM and 5:26 PM?
710
How many minutes are there between 1:39 PM and 6:25 PM?
286
How many minutes are there between 8:49 AM and 8:21 PM?
692
What is 670 minutes before 8:19 AM?
9:09 PM
How many minutes are there between 2:04 AM and 3:00 AM?
56
What is 505 minutes before 4:28 PM?
8:03 AM
What is 120 minutes before 2:38 AM?
12:38 AM
What is 502 minutes before 6:55 PM?
10:33 AM
How many minutes are there between 9:27 AM and 7:19 PM?
592
How many minutes are there between 7:26 PM and 4:16 AM?
530
How many minutes are there between 10:25 PM and 10:44 PM?
19
What is 98 minutes after 12:19 PM?
1:57 PM
How many minutes are there between 12:29 AM and 4:00 AM?
211
What is 367 minutes aft | {
"pile_set_name": "DM Mathematics"
} |
ommon divisor of l and 5.
1
Suppose -4*a - 624 = 5*d - 216, d = 0. Suppose -x + 120 = -3*x. Let y = x - a. What is the greatest common factor of 28 and y?
14
Suppose -9*v + 880 = -5*v. What is the highest common divisor of 88 and v?
44
Let c be 0/(2 + 0) + (57 - 15). Calculate the highest common factor of 231 and c.
21
Suppose -46 = 5*p - 156. Let w = 31 - p. Suppose 4*g + 1 = w. Calculate the highest common divisor of 1 and g.
1
Suppose y + 31 = 4*y + 2*u, 5*y + 3*u = 51. Let t(a) = -a**2 - a + 63. Let w be t(0). What is the greatest common factor of w and y?
9
Let j(m) = m**3 + m + 55. Suppose 5 = -5*u + k, 10*k - 25 = -u + 5*k. Let b be j(u). What is the greatest common divisor of 5 and b?
5
Suppose -4*j = 3*t - 38, 0*t = -4*t - 2*j + 34. Suppose 0 = 3*z - 5 + 14. Let y be (0 + -10)*z/t. Calculate the greatest common factor of y and 45.
5
Suppose 4*m - 5*m + 38 = 3*w, -40 = -3*w + m. What is the highest common divisor of w and 143?
13
Let p(u) = -u - 7. Let n be p(-4). Let w be (n/(-2))/(1/6). What is the greatest common factor of 1 and w?
1
Suppose 456 = k + 3*k. Let g be k/7 + 4/(-14). Suppose 0*n + 144 = n. What is the highest common divisor of g and n?
16
Let b(n) be the second derivative of 5*n**3/3 - n**2 + 2*n. Let j be b(3). What is the highest common factor of 14 and j?
14
Suppose 0*b + b - 13 = -3*c, -45 = -5*b - 5*c. Calculate the highest common divisor of 105 and b.
7
Suppose -7 = -3*t + 4*z, 5*z = t + 5 + 11. What is the highest common divisor of 81 and t?
9
Let d be 19 + 1 + -4 + (1 - -4). What is the highest common factor of 147 and d?
21
Let p = 204 + -165. Calculate the highest common divisor of 39 and p.
39
Let h(k) = 2*k**3 - 15*k**2 + 7*k. Let s be h(8). Calculate the highest common divisor of s and 30.
30
Suppose 0 = -3*r + r + 26. Let c(m) = -6*m - 4. Let o(f) = 5*f + 3. Let a(n) = 5*c(n) + 4*o(n). Let v be a(-6). Calculate the highest common divisor of v and r.
13
Let s = 8 + -6. Let l be (s/3)/(-1)*-15. Suppose -2*a + 25 = 5*g, -l = -4*a + 2*g + 28. Calculate the greatest common factor of 110 and a.
10
Suppose 3*p - 347 + 35 = 0. What is the greatest common factor of p and 26?
26
Let g(x) = -x - 1. Let y be g(-9). What is the highest common divisor of y and 72?
8
Suppose 2*t - 42 = 3*t. Let w = t - -75. Calculate the highest common factor of 11 and w.
11
Let i be (-21)/(-5) + 1/(-5). Let t be ((-8)/(-10))/(i/250). Let z be 11 - 2*1/2. What is the highest common divisor of t and z?
10
Let j(a) = 5*a**2 - 4*a - 3. Let t be j(-2). Let d = t + -14. What is the highest common divisor of d and 11?
11
Suppose -11 = 2*k - 47. Suppose 23*a - 54 = 14*a. Calculate the highest common divisor of k and a.
6
Let f be 7/(7/20) + -3. Let t = 87 - 19. Calculate the highest common divisor of f and t.
17
Let v = -27 - -43. Suppose -v = -5*p + 9. Let o(q) = -40*q. Let f be o(-1). What is the highest common factor of f and p?
5
Suppose 0*n + 4 = n. Suppose -8 = -4*o - 4*s, -4*o - 5*s + n = -6. Suppose -4*w + 0*w + 84 = o. Calculate the highest common divisor of 14 and w.
7
Suppose 10*t = 16*t - 48. What is the highest common divisor of t and 32?
8
Suppose -4*m + 4*q + 268 = 0, 3*m - 5*m - 2*q = -138. What is the greatest common divisor of m and 4?
4
Suppose -2*a + 0*a = 4. Let o(s) = -s**3 + 2*s**2 + 2. Let j be o(a). Suppose -10 - 8 = -3*d. Calculate the greatest common factor of d and j.
6
Let g be -8*5/(-2)*1. Let m = g - 1. What is the greatest common factor of 19 and m?
19
Let c be (0 - (-20)/(-3))*-3. Calculate the greatest common factor of 160 and c.
20
Let j = 1 + 1. Let c be (-1 + -2)*-1*8. Let r be (-4)/22 - c/(-11). What is the highest common factor of j and r?
2
Suppose 8*m + 4*i = 11*m - 301, 2*m - 194 = i. Calculate the greatest common factor of 38 and m.
19
Let d = -257 - -369. Calculate the greatest common divisor of d and 16.
16
Let i = -71 - -199. Calculate the highest common factor of i and 16.
16
Let y(q) = -q**3 + 7*q**2 - q + 8. Let d be y(7). Suppose -n + 3*n = -8. Let s be d/((n/(-9))/4). What is the highest common divisor of s and 9?
9
Suppose p - 5*b = -6 + 58, 112 = 3*p - 4*b. Calculate the highest common factor of p and 80.
16
Let r(g) = g**2 - 2*g + 51. Let p be r(0). Calculate the greatest common divisor of p and 17.
17
Let t(k) = -k**2 - 12*k + 6. Let f be t(-8). Let p = f - 26. Calculate the greatest common factor of 12 and p.
12
Let t be (6/9)/(2/9). Suppose -6*l = -t*l - 96. Calculate the highest common factor of 4 and l.
4
Suppose 5*s - 2*c = 239, 0 = -5*s - 4*c + c + 229. Calculate the highest common factor of 188 and s.
47
Let c be (-11 + (-9 - -7))*7/(-1). What is the greatest common divisor of 26 and c?
13
Let k be 193/6 + (-4)/24. Calculate the greatest common divisor of 4 and k.
4
Let h = -40 - -73. Calculate the highest common divisor of h and 44.
11
Suppose 3*d + 2*p = -7, p - 5 = -3*d + 5*p. Let b be (0 - (d + 2)) + 17. Let u(s) = -s - 2. Let t be u(-4). What is the greatest common divisor of t and b?
2
Suppose p = -5*f + 34, p + 0*p = -4*f + 28. Let r = -51 + 87. Suppose -f*z + 4*z = -r. Calculate the greatest common factor of 90 and z.
18
Let g(p) = -p**3 - 9*p**2 + 8*p. Let s be g(-10). Suppose 3 + 17 = f. Suppose 0 = -3*n + a + 7, -4*a + f = 0. What is the highest common factor of n and s?
4
Let i(w) = 2*w**3 - 3*w**2 + w - 3. Let q be i(3). Let t be 1 - 0 - (-17 + 0). What is the greatest common factor of q and t?
9
Suppose -j - 300 = -6*j. Let c = -15 + 27. Calculate the highest common divisor of j and c.
12
Let j = -50 - -74. Let f(n) = -n + 3. Let s be f(-7). Let m = s + -4. Calculate the highest common divisor of m and j.
6
Suppose -g - g - 56 = 0. Let i = g - -39. What is the greatest common divisor of 33 and i?
11
Let o(f) = -f - 6. Let k be o(-7). Suppose 3*s - 5*w = -12, w + w - 8 = -2*s. Calculate the greatest common factor of k and s.
1
Let y be (-3)/(-9) - 51/(-9). Calculate the highest common factor of 9 and y.
3
Let f = -3 - -26. Let u = f - 63. Let w = -26 - u. What is the highest common divisor of w and 154?
14
Let y = 34 + -19. Calculate the highest common factor of y and 10.
5
Let h be (24/(-5))/((-3)/10). Let z(k) = -3*k - 2*k**2 + k**3 - 4*k + 0*k**2. Let x be z(5). What is the greatest common divisor of h and x?
8
Let n(t) = -t**2 - t + 36. Let b be n(0). What is the highest common factor of b and 4?
4
Suppose -u + 3*u = 104. Suppose -53 = 5*w + u. Let h = w + 84. What is the greatest common factor of 9 and h?
9
Let h be ((-12)/(-16))/(1/(-4)). Let y(z) = 20*z - 1. Let s be y(h). Let f = s + 96. What is the greatest common divisor of 7 and f?
7
Let y = 1 + 5. Suppose 0 = -2*x + y*x - 20. Suppose 0*c - x = -c, -c = 5*v - 305. Calculate the greatest common factor of 24 and v.
12
Let o(d) = -9*d - 34. Let p be o(-4). What is the greatest common divisor of p and 14?
2
Suppose -5*z + 0*z = -5. Let s = z - 0. Let u be -1 - (1 + -2 - 8). What is the greatest common factor of s and u?
1
Suppose t = -5*d + 54, 0 = 4*t - 2*t - d - 86. Calculate the greatest common factor of t and 33.
11
Let n(q) = 5*q**2 - 2 + 6 - q**2 - 2*q**2 + 6*q. Let t be n(-4). Calculate the highest common factor of 3 and t.
3
Suppose -9 = -2*f - 1. Suppose -f*x - 6 = -42. What is the greatest common divisor of x and 6?
3
Let p be (-1)/4 - 27/(-12). Suppose -p*w + 139 = 5*r, -3*w - 43 - 32 = -3*r. Let a = -6 + 9. What is the highest common divisor of a and r?
3
Let u be ((-7)/14 + (-2)/4)*-12. What is the highest common factor of u and 36?
12
Let f(o) = -1 + 2 - 8*o - 7*o. Let s be f(-1). Let y(v) = 5*v + 5. Let c be y(7). Calculate the greatest common divisor of c and s.
8
Let a(j) = 2*j + 12. Let p be a(-9). Let h = p + 14. Calculate the highest common divisor of h and 8.
8
Let a(s) = 2*s**2 - 11*s - 2. Let j(u) = u**2 - 6*u - 1. Let b(o) = 3*a(o) - 5*j(o). Let v be b(5). Calculate the highest common factor of v and 18.
9
Suppose -242 = -3*x + 127. Calculate the greatest common divisor of x and 82.
41
Suppose 6 = -2*n, 0 = -4*m + m + n + 3. Suppose -10 - 33 = -2*s + 3*g, m = 3*g + 15. What is the greatest common divisor of 112 and s?
14
Let i = 11 + -3. What is the highest common divisor of i and 8?
8
Let s(n) be the first derivative of n**2/2 - 2*n + 1. Let g be s(4). Let k(c) = c**2 + 3*c + 6. Let z | {
"pile_set_name": "DM Mathematics"
} |
nearest 10.
-9370
Round -852.849 to the nearest 10.
-850
What is 26.899749 rounded to the nearest ten?
30
What is 53719770 rounded to the nearest one million?
54000000
Round 24.79471 to two dps.
24.79
Round 2629.4 to the nearest one hundred.
2600
Round -0.0072456766 to three decimal places.
-0.007
What is 2287.08 rounded to the nearest ten?
2290
What is -0.000000297718 rounded to 7 dps?
-0.0000003
Round 9.11498 to one dp.
9.1
What is -0.00000318085 rounded to seven decimal places?
-0.0000032
Round -22057280 to the nearest one hundred thousand.
-22100000
Round -3383660 to the nearest one hundred thousand.
-3400000
Round -0.0099746 to 2 decimal places.
-0.01
What is 0.00000033177 rounded to seven decimal places?
0.0000003
What is -5452419000 rounded to the nearest one million?
-5452000000
Round -475.874 to the nearest 100.
-500
What is 32494.9 rounded to the nearest 100?
32500
What is -3.813192 rounded to 2 dps?
-3.81
Round 212430 to the nearest 10000.
210000
What is -737412000 rounded to the nearest 1000000?
-737000000
Round 4.76274 to 1 decimal place.
4.8
What is -0.239894 rounded to four decimal places?
-0.2399
Round 0.0000042916 to five decimal places.
0
What is 7.07583 rounded to one dp?
7.1
What is 7575.41 rounded to the nearest one hundred?
7600
Round -0.0000050400325 to 6 dps.
-0.000005
Round 0.0006797507 to 7 decimal places.
0.0006798
Round -45707.24 to the nearest one hundred.
-45700
What is -26208.65 rounded to the nearest one thousand?
-26000
Round 0.0022440749 to 7 decimal places.
0.0022441
What is -2.9116836 rounded to 0 decimal places?
-3
What is -0.09311552 rounded to 4 decimal places?
-0.0931
Round -86516.36 to the nearest one hundred.
-86500
Round -0.0055289 to 3 decimal places.
-0.006
What is 0.0000479678 rounded to 7 decimal places?
0.000048
Round -516927 to the nearest 100.
-516900
Round 132790 to the nearest one thousand.
133000
Round -0.21009962 to two decimal places.
-0.21
Round -0.052166564 to two dps.
-0.05
Round 0.0592768 to three decimal places.
0.059
What is 859006.7 rounded to the nearest ten thousand?
860000
Round 0.00486772 to five dps.
0.00487
What is 0.0002174757 rounded to 5 dps?
0.00022
What is -0.000000631206 rounded to 7 decimal places?
-0.0000006
Round 1529.051 to the nearest one thousand.
2000
What is 143280.32 rounded to the nearest 10000?
140000
What is 0.000675093 rounded to four dps?
0.0007
Round 0.00003260929 to five dps.
0.00003
What is 6.5243694 rounded to 1 decimal place?
6.5
Round 38849140 to the nearest ten thousand.
38850000
What is 1580.297 rounded to the nearest 100?
1600
What is -0.10250679 rounded to two decimal places?
-0.1
What is -31317.979 rounded to the nearest 100?
-31300
Round 227239600 to the nearest one million.
227000000
What is 7037790 rounded to the nearest one hundred thousand?
7000000
Round -0.000001593456 to 7 dps.
-0.0000016
What is -0.000003010427 rounded to seven dps?
-0.000003
What is 35.979794 rounded to 2 decimal places?
35.98
What is 1978.437 rounded to the nearest one hundred?
2000
What is 7432357.4 rounded to the nearest ten thousand?
7430000
What is -506526.5 rounded to the nearest 100000?
-500000
Round -3149.571 to the nearest ten.
-3150
Round 259776.9 to the nearest 10000.
260000
Round -101.059 to 0 dps.
-101
Round -0.00005292 to six dps.
-0.000053
Round -473.5001 to the nearest 10.
-470
What is 0.00045052005 rounded to five decimal places?
0.00045
Round -0.000007383585 to 6 dps.
-0.000007
What is 0.00002400269 rounded to four dps?
0
Round -213.069 to the nearest ten.
-210
What is -16600506 rounded to the nearest 1000?
-16601000
Round 113.667 to zero dps.
114
Round -0.000352605 to five decimal places.
-0.00035
Round 2.64279 to one decimal place.
2.6
Round 0.0006628643 to 5 dps.
0.00066
What is -0.1711938 rounded to 3 decimal places?
-0.171
What is -0.0014932345 rounded to 6 decimal places?
-0.001493
What is -0.1610468 rounded to 3 decimal places?
-0.161
What is 20948490 rounded to the nearest 1000000?
21000000
Round -0.0000180756 to 6 decimal places.
-0.000018
What is 119964.3 rounded to the nearest one thousand?
120000
What is -733.21566 rounded to 0 dps?
-733
Round -647421100 to the nearest 100000.
-647400000
Round 0.945164 to 2 decimal places.
0.95
What is -0.0316772 rounded to two dps?
-0.03
Round 1.0656643 to one dp.
1.1
Round 0.00002258004 to six decimal places.
0.000023
What is 0.012092284 rounded to 4 dps?
0.0121
Round -38.906 to one decimal place.
-38.9
Round -1826919 to the nearest 1000.
-1827000
Round 0.0000283267 to six decimal places.
0.000028
What is 3.9117526 rounded to 2 decimal places?
3.91
Round 0.0000000144923 to 7 dps.
0
Round -9799400 to the nearest one hundred thousand.
-9800000
Round 4670000 to the nearest 100000.
4700000
What is -0.454171 rounded to 2 decimal places?
-0.45
Round 2619509 to the nearest 1000.
2620000
Round -16302680 to the nearest one million.
-16000000
What is 2583.515 rounded to the nearest one hundred?
2600
What is -1287931 rounded to the nearest 1000?
-1288000
Round 0.15294389 to 2 decimal places.
0.15
What is 21.02521 rounded to one decimal place?
21
Round -1769573.3 to the nearest ten thousand.
-1770000
Round 3.69907 to 2 dps.
3.7
What is -0.000000583925 rounded to 7 dps?
-0.0000006
What is -758.83 rounded to zero dps?
-759
Round 3290490 to the nearest one hundred thousand.
3300000
Round -9786800 to the nearest one hundred thousand.
-9800000
What is 1.33556873 rounded to one decimal place?
1.3
Round 1107.685 to the nearest 10.
1110
What is 2426.33 rounded to the nearest ten?
2430
What is 451.54 rounded to the nearest integer?
452
What is -1001484600 rounded to the nearest 1000000?
-1001000000
What is -25670.077 rounded to the nearest ten?
-25670
What is -361307.6 rounded to the nearest 100?
-361300
What is 3591039.7 rounded to the nearest 10000?
3590000
Round -4264772800 to the nearest 1000000.
-4265000000
What is 0.0000491519 rounded to five dps?
0.00005
Round -400071.3 to the nearest one hundred.
-400100
What is 1140.6 rounded to the nearest 1000?
1000
Round -18590 to the nearest one thousand.
-19000
Round -0.26061136 to five dps.
-0.26061
What is 4501900 rounded to the nearest one hundred thousand?
4500000
Round -102457 to the nearest 10000.
-100000
What is -26033700 rounded to the nearest 1000000?
-26000000
What is 78.266176 rounded to one decimal place?
78.3
What is -73.6202 rounded to zero decimal places?
-74
Round 31.98561 to the nearest 10.
30
What is -151732.5 rounded to the nearest one thousand?
-152000
Round 0.001158385 to 6 decimal places.
0.001158
What is 232339 rounded to the nearest 10000?
230000
Round -5689500 to the nearest 1000000.
-6000000
Round 4.351748 to two decimal places.
4.35
What is 3144.898 rounded to 0 dps?
3145
Round 84.8327 to one dp.
84.8
Round 0.00001422676 to seven decimal places.
0.0000142
What is 0.002783587 rounded to five decimal places?
0.00278
What is 0.000317283 rounded to 7 decimal places?
0.0003173
What is -86956230 rounded to the nearest ten thousand?
-86960000
What is 0.001815499 rounded to 4 decimal places?
0.0018
What is 37123.1 rounded to the nearest one thousand?
37000
What is 273430.6 rounded to the nearest ten thousand?
270000
Round 11149 to the nearest ten thousand.
10000
What is 1455922 rounded to the nearest 100000?
1500000
Round -65747000 to the nearest one hundred thousand.
-65700000
Round -315589.14 to the nearest one thousand.
-316000
What is -132274400 rounded to the nearest one million?
-132000000
What is 2175930 rounded to the nearest ten thousand?
2180000
What is -0.464371 rounded to the nearest integer?
0
What is -8359412.2 rounded to the nearest 1000000?
-8000000
What is 0.00000056977091 rounded to 7 dps?
0.0000006
Round -0.0001364481 to 7 dps.
-0.0001364
Round -0.014455294 to four decimal places.
-0.0145
Round 7.4425 to zero decimal places.
7
Round 43016101 to the nearest 10000.
43020000
What is -0.000777884 rounded to 6 dps?
-0.000778
Round -444.7701 to the nearest integer.
-445
What is 0.00173387 rounded to 6 decimal places?
0.001734
Round 0.000000205159 to 7 decimal places.
0.0000002
Round -2290.958 to the nearest 10.
-2290
Round -43091.111 to the nearest 1000.
-43000
What is -58984.53 rounded to the nearest 1000?
-59000
Round 29319.719 to the neares | {
"pile_set_name": "DM Mathematics"
} |
*q - 43 for q.
-12
Solve z + 2*o + 15777 = 15788, 5*z - 22 = o for z.
5
Solve -7*o - 33*s - 31 = -35*s, -3*o = -s + 14 for o.
-3
Solve 3*z + 42 = 12*k, -9 + 31 = z + 5*k for z.
2
Solve v = -4*f + 22, -f + 153 = 5*v + 138 for v.
2
Solve -5*l + 4*i = -18, 4*l + 12 = 15*i - 25*i for l.
2
Solve 4*z - 214*s + 211*s + 47 = 0, 5*s = -5*z + 20 for z.
-5
Solve -48 = -5*l + 4*d, -3*d + 4*d - 21*d - 40 = 0 for l.
8
Solve -4*t - 81 = 3*v, v = 11*t - 6*t - 8 for t.
-3
Solve 3*p + 114 = -2*w + 137, 2*w - 2*p + 2 = 0 for w.
4
Solve 2*j + 5 = 219*c - 214*c, 0 = 3*j - 4*c + 4 for j.
0
Solve 5*b - w = 49, 3*b - 3*w - 7634 = -7607 for b.
10
Solve 0 = 1518*j - 1523*j - p - 14, 2*j = p - 7 for j.
-3
Solve 4*c = 53*u - 49*u + 28, 25 = -7*u - c for u.
-4
Solve -5*g - 49 = -4*j, 646 = 2*j + 2*g + 644 for j.
6
Solve -14*m = n - 36, -2*n - 66 + 39 = -5*m for m.
3
Solve -5*t + p - 10 = 0, 3*t = 5*p + 141 - 125 for t.
-3
Solve -g - 3*u - 213 = -205, 2*g + 16 = -3*u for g.
-8
Solve -10*r - 9 = -3*p - 7*r, -48 = -8*p - 4*r for p.
5
Solve -3*s - 36 + 9 = 5*l, -5*l = s + 19 for s.
-4
Solve 91*d - 2*n = 92*d - 7, 0 = -d - 3*n + 9 for d.
3
Solve 3*f + 4*s + 280 = 297, -5*f - 3*s = 1 for f.
-5
Solve -16 = 2*c + 2*y, -68*c + 23*c + 10 = -40*c - 5*y for c.
-3
Solve 5*y + 3*y + 17 = -3*k, -4*y = -4*k + 36 for k.
5
Solve 2*k + 2*j + 12 = 0, 2320*j = 3*k + 2315*j + 10 for k.
-5
Solve -5*g - 22*t + 39 = 0, 1 = -131*g + 252*g - 124*g - t for g.
-1
Solve 7*j = -4*i - 1, 77 - 24 = i - 16*j for i.
5
Solve 20871*u - 20864*u - 19 = 4*n, 9 = -3*u - 4*n for u.
1
Solve 4*t = 5*i - 25, -122*t - 23 = -3*i - 118*t for i.
1
Solve -3*w = 6, -5*b = -11*w + 12*w + 22 for b.
-4
Solve 108*y - 109*y = -j + 13, -2*j = 2*y + 10 for j.
4
Solve -4*y + 7 = -4*u + 15, 3*y = -5*u + 50 for u.
7
Solve f + 22606 - 22617 = -4*r, 0 = 5*r + 5*f + 5 for r.
4
Solve -5*g = -5*u + 5, -4*u - 1165*g + 5 = -1168*g for u.
2
Solve 130*d - 5*o = 129*d + 19, 4*o = d - 16 for d.
4
Solve -13354 + 13341 = -d - 2*k, -5*k = -3*d + 28 for d.
11
Solve 5*z = -4*n + 30, -45*z = -4*n - 46*z + 22 for n.
5
Solve 2*j - 226 = -4*r - 238, j + 1 = -r for j.
4
Solve 0 = 3*h + 27, -1741*h + 1736*h = -4*v + 25 for v.
-5
Solve -494*x + 2*t = -496*x - 12, 3*x = 3*t - 30 for x.
-8
Solve -2*d + 4 = -411*k + 415*k, -10*k + 34 = -d for d.
-4
Solve -3*l - 2 = -5*n, -375408*n = -375403*n - 4*l + 4 for n.
4
Solve 5*t - 99*a = -86*a + 19, 0 = -6*t - 2*a - 30 for t.
-4
Solve 4*m + 44 = 0, -y + 65*m + 279 = -434 for y.
-2
Solve 4*x - 17 = r, 4*r = 1380*x - 1375*x - 13 for r.
3
Solve -7*b + 8*b + 2*f - 5 = 6*f, -3*f - 20 = -4*b for b.
5
Solve 3*n + 5 = -2*m, 3*n + 17 = -515*m + 510*m for m.
-4
Solve -58 = 36*m - 31*m + 3*f, 3*f = 4*m + 68 for m.
-14
Solve z = -3*v + 14, z + 5*v - 50 + 26 = 0 for z.
-1
Solve -8*g = q + 88, 5*q + g + 32 = 21 for q.
0
Solve p + 4*m + 64 = 67, 5*p - 3*m = -8 for p.
-1
Solve 5*i + 4*d + 16 = 0, -6*d - 12 = -3*i - 3*d for i.
0
Solve 0 = 2*b, -r + 2*b - 464 + 462 = 0 for r.
-2
Solve 229 = -4*n + 4*c + 197, -2*n - 3*c = -9 for n.
-3
Solve 0 = 4*u + s - 30, -101*u + 3*s + 22 = -99*u for u.
8
Solve 73 - 90 = 3*y - 5*z, 4*y = z for y.
1
Solve 3*b + 17 = i - 4, 4*i = 3*b + 21 for i.
0
Solve -2*r = 4*v - 8, 81*v = 83*v - r + 8 for v.
-1
Solve -3*c + 941*y - 940*y - 25 = 0, -3*y = c - 25 for c.
-5
Solve 2*n - 2*a = 2, -n + 65 - 60 = -3*a for n.
-1
Solve -224*d + 229*d - 11 = 2*t, 11 = t + 3*d for t.
2
Solve 0 = -3*p + 429*m - 428*m - 11, -4*m + 18 = p for p.
-2
Solve -2*r + 2*x - 2 = 0, 6*r - 10 = 9*r + r + 2*x for r.
-2
Solve -4*p = 4*z - 32, 4*p - 9*z - 5 + 12 = 0 for p.
5
Solve -2*p + 1 = -x, 2*p - 25*x = -22*x - 9 for p.
3
Solve 0 = w + 4*x + 4, 5 = -811*w + 806*w - 5*x for w.
0
Solve -4*x + 3 = -5*u + 48, -4*x = u + 15 for x.
-5
Solve 33*p = 36*p - 2*m - 12, 5*p + 5*m = 45 for p.
6
Solve 88*t - 93*t = -5*v + 5, 5*t = -5*v + 35 for v.
4
Solve -164*v - 2*a = -163*v - 4, 2*a = -5*v + 4 for v.
0
Solve s = -2*d + 6 + 19, -d = -0*d + 3*s for d.
15
Solve -11079*t + 11081*t = -10, 3*u = -5*t - 40 for u.
-5
Solve -r = 0, 3*y - y - 26*r = 34*r - 64*r - 6 for y.
-3
Solve 4*o = 2*b - 20, 3*o + 9755 = 2*b + 9738 for b.
4
Solve 0 = 54*t - 57*t + 6, 4*j + 3*t + 6 = 0 for j.
-3
Solve 4*b - 13 = 3*t, 141*b + 3*t - 243 = 324 for b.
4
Solve 117*n - 116*n = -3*u - 33, -1 = -3*n + u for n.
-3
Solve 3*h = 4637*p - 4634*p + 18, -5*p = 5*h - 20 for h.
5
Solve -41*g - 5*h + 29 = -40*g, 0 = -g + 6*h - 37 for g.
-1
Solve -72 = -3*t - 60, -4*t + 46 = -5*h for h.
-6
Solve -p + 28*w = 26*w - 12, -w = 3*p - 8 for p.
4
Solve -12*r + 4*r = -2*w + 42, 290*r - 6 = -2*w + 286*r for w.
9
Solve -3*h = 15, 31 - 55 = -2*z + 4*h for z.
2
Solve 0 = 75*r - 77*r + 2*d + 2, 0 = -r + 4*d - 2 for r.
2
Solve -2*w + 24 = -4*n, 1371*w - 1373*w + 24 = n for n.
0
Solve 3*c + 51*w + 12 = 46*w, 4*w + 177 = -21*c for c.
-9
Solve 5 = -j, 9*n - j = -51 + 101 for n.
5
Solve -3*z + 69 = -3*j, 2*j + z = 1178 - 1149 for j.
2
Solve 0 = 4*o - 28*f + 30*f + 2, 2*o + 0*f - f = 5 for o.
1
Solve m + 341*y = 336*y + 7, -3*y = -13*m - 45 for m.
-3
Solve 481*m - 7 = 478*m - 2*g, 2*m + 3*g = -2 for m.
5
Solve -2*r - 84*d + 79*d = -63, 3*r - 2*d = 66 for r.
24
Solve 5*z - 1044*s - 18 = -1048*s, -4*z - 3*s = -13 for z.
-2
Solve 13 = 5*s - 2*i, -4*i + 67 - 33 = 2*s for s.
5
Solve -3*c + 45 = 5*k + 61, 2*k - 2 = 0 for c.
-7
Solve -4*p - 69*m + 68*m + 15 = 0, 5*p + 2*m = 18 for p.
4
Solve 2*c + 12 = -3*l, -c = 2*l + 6 + 3 for l.
-6
Solve 7*s + 352*l = 5*s + 354*l - 8, -2*s - 3*l = -3*s for s.
-6
Solve 4*h + 8 = 2*w, 5*h - 10*w + 11*w - 4 = 0 for h.
0
Solve -2*s - 2*g - 8 = 0, 26*s - 16 = 31*s + 4*g for s.
0
Solve -2*v + 24 = -4*p, -5*v + 7 = 5*p + 37 for p.
-6
Solve 0*a - 5*g - 1 = -2*a, 2*a = 2*g - 8 for a.
-7
Solve -4*k + 5*i - 3 = 0, -69*i + 64*i = k - 18 for k.
3
Solve 16*s - 13*s = -8*r - 26, -5*s = -4*r - 26 for r.
-4
Solve 643*m - 4*h - 44 = 638*m, -3*m + 42 = -5*h for m.
4
Solve 16*t - 19*t = 12, -2*l + 14 = -2*t for l.
3
Solve 3*d - 6 - 18 = 3*g, -3*d + 21 = -2*g for d.
5
Solve 0 = -w - 4*q + 85, -3015 + 3219 = -2*w + 9*q for w.
-3
Solve 5*x - 22 = -w, -2*w + 3*x - 118 = -110 for w.
2
Solve -5*l = 0, 20232*g + 4*l + 5 = 20227*g for g.
-1
Solve -8*z + 2*t - 6*t + 48 = 0, 0 = -z - t + 8 for z.
4
Solve -p + 63*f - 2 = 68*f, -2*p + 3*f - 4 = 0 for p.
-2
Solve -4*w = 5*m - 16, 79*w - 74*w = 13*m - 36 - 21 for m.
4
Solve 0 = j + 2*m + 5, 215 = 4*j + 5*m + 235 for j.
-5
Solve -14126*b + 14128*b + 5*p = 12, -2*b + 4*p - 6 = 0 for b.
1
Solve -42 = 3*n + 2*c - 45, 0 = 2*n - 5*c - 21 for n.
3
Solve 8*j + 68 = 3*g, -3*g = j + 349 - 354 for j.
-7
Solve -18*q + 19*q = -1, 2*q = 3*t + 1 for t.
-1
Solve 5*x = -2*o - 3, -2*o + 39 = -2*x + 35 for o.
1
Solve 0*a - 5*h = 2*a - 33, 17*h - 69 = 8*a - 4*a for a.
4
Solve a + 15 = -5*z, 36*z - 18 = -a + 42*z for a.
0
Solve -y = -2*q + 2, -2*q - 33*y + 41*y = -2 for q.
1
Solve 0 = -2*k - 5*z - 30, -3*k - 21263*z = -21260*z + 27 for k.
-5
Solve -24 = -38*z + 33*z + 2*w, 0 = -w - 2 for z.
4
Solve -z + p + 1 = 0, 173*z = 171*z + 3*p + 5 for z.
-2
Solve -2*s - 5*l - 16 = 0, -82*s - 2*l = -81*s + 7 for s.
-3
Solve 2*d - 5*z = 34, -4*d - 86*z + 32 = -90*z for d.
2
Solve d + 6585*q - 6587*q = -14, d + 4*q + 14 = 0 for d.
-14
Solve 2*a = 2*c + 6, 7903*c + 35 = -5*a + 7898*c for a.
-2
Solve 0 = 5*i + 2*l + 20, 123 = -24*l + 3 for i.
-2
Solve 2*c + 72 = 4*x + 18, 3*x + 243 = -12*c for x.
3
Solve -2447*k + 2451*k - 37 = -5*j, 3*j = 13*k - 24 for k.
3
Solve 0 = 2*p - 12*h + 32, 4*h - 8*h = p - 4 for p.
-4
Solve 3*p = 5*d + 2, -296*d = -297*d + 2*p + 1 for d.
-1
Solve 0 = 4*q - 2*f + 80 - 46, 7*f - 145 = q for q.
2
Solve -6*k + 42*b - 46*b - 38 = 0, -2*k = 4*b + 18 for k.
-5
Solve 9*k - n - 38 = 0, -2*k + 6 = -n + 2*n for k.
4
Solve -76*o - 37 = -79*o - 4*j, -4*o - 3*j = -40 for o.
7
Solve -2*r + 25 = s, 1 = 5*s + 6 for r.
13
Solve 0 = 3*j - 4*h + 1277 - 1249, -12 = j - 2*h for j.
-4
Solve 0 = -5*v - 4*b - 18, 0 = -16*v + 20*v - 3*b - 29 for v.
2
Solve -20 = 2*l + 5*y, -2*l + 3*y + 1232 = 1220 for l.
0
Solve l + 246 - 247 = -3*j, -4*l + 4 = -10*j for l.
1
Solve 0 = 15*u + 3*a - 81, 0 = -715*u + 712*u - a + 21 for u.
3
Solve 3*w - b = -14, -2*w - 590*b + 589*b - 11 = 0 for w.
-5
Solve -6*s = 4*l + 10, -3*l - 872 = -s - 892 for s.
-5
Solve 2*h + 16 = -3*w, 4*h - 4*w = -109 + 137 for | {
"pile_set_name": "DM Mathematics"
} |
. Are i and -4 equal?
False
Let d(g) = -g**3 + 2*g**2 + 3*g - 3. Let m be d(2). Suppose 3*t - 30 = -5*z + 8*t, -m*z = 5*t - 10. Is -11 smaller than z?
True
Let y = -39990 + 160735/4. Let p = 1145/4 - y. Which is bigger: p or 92?
p
Let f = 869/2 + -435. Which is greater: 5288 or f?
5288
Let t = 713 + -1349. Let j = 635.6 + t. Which is smaller: j or -68?
-68
Let a be 33/(-2) + 120/(-80). Let t(o) = -o**2 - 20*o - 42. Let x be t(a). Is x at least -4?
False
Let g = -1.66 + 2.74. Let c = g + -1.28. Is 14 less than c?
False
Suppose 27 = 2*s + s. Suppose -2*f + 81 - s = 0. Let o = -31 + f. Is o greater than 2?
True
Let w = -76112 - -71925817/945. Is -1 less than w?
True
Let c = 54 - 56. Let y = -28.23 - -0.23. Let d = y - -29.8. Which is bigger: d or c?
d
Let t = 22901/275 + -953/11. Is t > -4?
True
Suppose 40 = -3*y - y. Let a = -3 - y. Suppose 3*j + 3*q - 26 = q, -5*q - 20 = -j. Which is smaller: j or a?
a
Let s = 3557/4272 + 1/1424. Let n = 5.241 + 0.059. Let l = n - 5. Which is greater: l or s?
s
Let d(y) be the second derivative of -y**5/20 + y**4/6 + 3*y**3/2 - 47*y. Let f be d(4). Suppose 6 = f*u - 6. Which is greater: -5/11 or u?
u
Let s = -0.1 + -1.9. Let q = -1.5 - s. Let c = -1.865 - -3.865. Is c less than q?
False
Let a = 101769154/3051 + -33356. Which is smaller: a or 0?
a
Let g = 2865315/11914 - -1/5957. Let u(j) = 238*j + 27611. Let x be u(-115). Is g greater than or equal to x?
False
Let j be ((-8636)/136)/((-1)/174). Is j less than or equal to 11048?
False
Let y = -208.986 + 210. Let b = 1.1 - y. Let o = b - 34.086. Which is smaller: 1 or o?
o
Let t = -20 + 1. Let a = t + 32. Suppose -h = a + 1. Which is greater: h or -13?
-13
Let w = 5.4881 + -0.0681. Let l = 36.58 - 37. Let g = w + l. Which is bigger: 1 or g?
g
Let g be (-2)/(-4)*(-188)/(-6). Suppose -296 = 114*s + 117*s - 3992. Which is smaller: s or g?
g
Let c(n) = -130*n - 20. Let u be c(-3). Is 370 at least as big as u?
True
Suppose 0 = -5*f - 26 - 4. Let b be 486/6 + 0 + f. Is b equal to 74?
False
Let r be (-12)/56 - (-6)/(-21). Let l = -55 + 59. Suppose l*c = -f - 17, -5*f + 18 = 43. Which is bigger: r or c?
r
Let s = 40 - 23. Let b = 0.147 - -66.853. Let u = 69 - b. Does s = u?
False
Let c be (-22*(1 - 2)/(-2))/(3/(-291)). Are 1072 and c nonequal?
True
Let m = -91 - -219. Let b = 568 - 439. Let n = b - m. Is 33 greater than or equal to n?
True
Let s = -1.17 - 58.83. Let n = s + 107. Let k = n - 48. Do k and 2/3 have different values?
True
Let l = 207.4 - 206. Let t = -4.4 + l. Which is smaller: -0.1 or t?
t
Suppose -3*r - 4*j + 19685 = 0, -3*j = -8*r + 7*r + 6553. Is r less than or equal to 6560?
True
Let f = -102 - -151. Let r = 48 - f. Let p be 4/(-10)*20/(-128). Which is greater: r or p?
p
Let b be (-26)/(-30) - 8/(-60). Let v = -7116 - -206365/29. Is v at most b?
True
Let s = -160 + -85. Let x = s + 245.9. Let y = 0.03 + -0.33. Is x greater than y?
True
Let a = -2148 - -3855. Which is smaller: a or 1708?
a
Let y = -2.36 + -5.94. Let o = -1.34 + 3.34. Which is bigger: o or y?
o
Suppose 0 = 2*q - 3*f + 6, 10*q - 3*f = 7*q - 6. Is q <= 5/124?
True
Let j be 37/((-1)/(-4) - 18/64). Which is bigger: j or -1182?
-1182
Let c(o) = o - 6. Let a(j) = -j**2 + 6*j - 2. Let m be a(4). Let z be c(m). Is z greater than 0?
False
Let u = -100 + 55. Let l be 1*(u/4 - 4/(-16)). Suppose 45 = v - 6*v. Is v less than l?
False
Suppose -3*r - 393 = 42. Let m = -144 - r. Which is bigger: 5/4 or m?
5/4
Let t = -0.06 - -39.06. Let q = 229 + -189. Let z = t - q. Is 67 greater than or equal to z?
True
Suppose -68*o + 2440 = -25576. Are o and 412 equal?
True
Let g = -3313 - -3289. Do g and -111 have different values?
True
Suppose -3*j + 8 - 2 = 0. Suppose 265*t - 263*t - 22 = 0. Suppose -3 = -5*d + r, 1 = -t*d + 16*d - 2*r. Which is greater: j or d?
j
Suppose -u = 2*u + a + 111, 4*u + 2*a + 150 = 0. Suppose -f = 2*n + 77, -12*f = 5*n - 9*f + 193. Let g = u - n. Are g and 2 equal?
True
Suppose -20 = -5*m, -3*k - m + 56 = m. Let u = 91 - -413. Let j be 6/(-21)*u/(-9). Is k less than j?
False
Let p be 12/18 + (-366)/9. Let w = p + 41. Let x = w + -7. Is -38/7 greater than x?
True
Suppose 88*i - 240*i = -77*i - 82*i. Which is smaller: -3093 or i?
-3093
Let b be 34/391 - 89836/(-23). Suppose -b = -234*a + 216*a. Does a = 215?
False
Suppose -5*k - 40 = -10. Let o be ((-126)/15)/k*6/(-7). Which is bigger: -2 or o?
o
Let i = -50 - -50. Let o = i + 0.112. Let r = 0.072 - o. Which is greater: r or 2?
2
Suppose 0 = -3*a - 2*g + 10, 4*g + 0 = -4. Suppose a*i = -0*i + 2*s + 2, i - 4*s = -3. Which is bigger: i or -14/87?
i
Let o(d) = -d**3 - 6*d**2 - 3*d + 10. Let w be o(-5). Suppose -4*x - 5*a = 1, -2*x - 2*x + 2*a + 34 = w. Suppose 7 - 1 = x*h. Is 1/20 at least as big as h?
False
Let l be (-238502)/32 - 531/(-2832). Which is smaller: l or 1?
l
Let t(o) = 4*o + 20. Suppose -102*v + 50 = -97*v. Suppose 5*w = -z - 4*z - v, 0 = z - 3. Let f be t(w). Is -2/47 >= f?
False
Let h = -104 + 134. Suppose -3*y = 11*n - 10*n - 17, 2*n = -4*y + h. Suppose -5*j - n = 4. Which is smaller: j or -24/13?
j
Let x = -2704 - -137926/51. Which is smaller: x or -3?
-3
Let g = -4853/6 + 6619489/8184. Which is greater: g or 0?
0
Let g(v) be the first derivative of v**4/24 - 4*v**3/3 - 8*v**2 + 14. Let y(w) be the second derivative of g(w). Let a be y(9). Which is bigger: 3/8 or a?
a
Let z be (35 + -100)/((-6)/42). Which is bigger: z or 457?
457
Let d be (-530)/4*(0 + 1)/(10/40). Let i = -702 + 172. Is i equal to d?
True
Let f be -3 - -2 - (-342)/340. Let d = 0.249 - 0.349. Which is smaller: d or f?
d
Let r be -371 + (-8)/4 + 10 + -3. Let a = r + 349. Is a less than or equal to -24?
False
Let h be ((-912)/9 - 4)/((-3)/(18/28)). Is 2 less than h?
True
Let p = 9235 - 1182093/128. Does p = 1?
False
Let a = 110 + 212. Let b be a + 3*(-2)/6. Let g be -5 + 0 - b/(-65). Is 1 greater than or equal to g?
True
Let u = 2.07 + -0.07. Let o = 1.542 - 1.432. Is o <= u?
True
Let o = -37620551/522750 - 4/87125. Let h = o + 72. Let w = -2.371 - -2.371. Is w less than or equal to h?
True
Let v(q) = 5*q - 79. Let w be v(16). Is w greater than -6/563?
True
Suppose -39*o + 37*o - 39864 = -35*o. Are o and -0.1 nonequal?
True
Let o = -20683 - -20683. Is o greater than 1/8789?
False
Let x be -1*(-35)/70*(0 + 0). Suppose x = -8*w - 97 - 215. Is w >= -38?
False
Suppose -309 + 24 = 15*p. Let c(r) = r**2 + 11*r - 141. Let g be c(p). Are 88/9 and g nonequal?
True
Suppose 194 + 43 = 102*b + 33. Are b and 25/9 non-equal?
True
Suppose -2*p + 5*p + 549 = 0. Let a be (2/3)/((-2)/p). Suppose -133 - 108 = -4*t - 3*r, 0 = t + 4*r - 57. Is t <= a?
True
Let k be ((-64)/(-20))/(-4)*20/(-4). Suppose -2*x = -0 + k. Is -2 != x?
False
Suppose 0 = 4*v + 78*j - 75*j - 4, 5 = 5*v - 3*j. Which is greater: 1/30996 or v?
v
Let n = -4479/4 + 4629/4. Which is greater: n or 38?
38
Let y = -12 - -12.2. Let l = -4218 + 4242.07. Let n = -24 + l. Which is greater: n or y?
y
Suppose -524 = 1305*b - 1309*b - 4*y, b + 2*y = 128. Which is bigger: b or 123?
b
Let i = -84 + 88. Suppose -i*o = 3*c - 10, o + 45 = 3*c + c. Let x be c/(-30) + (-22)/(-3) + 0. Do x and 11/2 have different values?
True
Suppose q = -2*d + 3*d - 182, 0 = d + 5*q - 176. Suppose -9*p = -d - 278. Is 52 at most as big as p?
False
Let a = 204 - 183. Let j(d) = d**3 - 20*d**2 - 24*d - 43. Let z be j(a). Is -107 at most as big as z?
True
Suppose 0 = 3*p - 3*o + 18, -2*p + 3*o - 8*o + 37 = 0. Is 5/3411 less than or equal to p?
True
Let r = -40 + 42. Let f be (r - -4) + ((-2)/2 - -4). Suppose 0 = m, 6 = -5*b - 4*m - f. Is -3/2 != b?
True
Let d be ((-57)/(-77))/1 - (-312)/(-416). Which is greater: d or 0?
0
Let p be (44/7260*55)/(0 - 2/13218). Is p at most -2202?
True
Suppose -4*x + 65 - 49 = 0. Suppose -a - 2*n + 8 = 0, 4*a + x*n = 7*n - 12. Which is smaller: 1/356 or a?
a
Let h = -1 - 0. Suppose 0 = -4*q - 4*t - 191 - 373, 2*t + 568 = -4*q. Which is greater: q or h?
h
Let o be 1/4*(-11)/11 + 14/56. Let z be 543/(-537) - (-2)/2. Which is greater: z or o?
o
Let u(s) = -s**2 + 36*s + 13. Let b be u(-35). Let r be ((-2)/3)/(16/b). Which is bigger: 101 or r?
r
Suppose -m = -0*m - 4, -5*x - 91 = -4*m. Let i = 11 + 4. Let g = i + x. Is g equal to 1/20?
False
Let k = -7403 + 10925. Is k equal to 3522?
True
Let u = 96 + -161. Let a be 772 | {
"pile_set_name": "DM Mathematics"
} |
6
6
1 + (0 - -1) + -200 + 203
5
4 - ((-2 - -18) + -8)
-4
Calculate -1 + -5 + 3 - -5 - -5.
7
Evaluate 0 - -13 - (208 + -194).
-1
8 + -2 - (11 + -8)
3
What is the value of -4 - 0 - (-2 + -3 + -1)?
2
Evaluate -1 + 0 - (10 - 11).
0
What is (-6 + 7 - 7) + 1?
-5
What is (-1 - -6) + -3 - (19 - 12)?
-5
What is 3 + 1 - (28 - 30)?
6
Evaluate 486 + -480 - (1 - (1 - 1)).
5
What is the value of 3 + (-1 - -2 - 5) + 1?
0
What is the value of 3 - (27 - 17 - (1 + 0))?
-6
Calculate 3 + -3 + 0 + 4.
4
Evaluate 1 + -7 + 4 + 7 + 0.
5
Calculate 9 - ((12 - 5) + 1).
1
What is the value of 10 + -7 + -4 - (-1 - 3)?
3
Calculate -8 - ((1 - 8) + 0).
-1
What is the value of (-63 - -61) + -1 + 1 + 0?
-2
What is 3 - (2 + -5 - -5)?
1
-11 + 1 + 9 + (3 - 5)
-3
Calculate (-2 + -3 - -9) + 2 + -2.
4
What is (-8 - -4) + -2 + 4?
-2
Evaluate (-11 - -6) + 10 + -9.
-4
What is the value of 2 - 5 - (19 + -21)?
-1
What is 0 + (3 - 16 - -7)?
-6
Calculate (-2 + -1 - -5) + -2 + -5.
-5
0 - (2 - 2) - -1
1
Calculate (-1 - 6) + (-2 - 11 - -9).
-11
Calculate 2 - (1 - 0 - 5) - 6.
0
What is the value of 118 + -112 + -1 + -9 + -2?
-6
-5 + 8 - (1 + 4)
-2
What is the value of -1 - (6 + -6 + 1)?
-2
Evaluate -1 - (0 + 4 + -4).
-1
Calculate -1 + 1 - (-15 - -4 - -14).
-3
What is the value of 0 + (2 - 3) + -4?
-5
Evaluate (3 - 1) + 18 + -16.
4
What is -3 + 1 + -4 + 4 + 1?
-1
-1 + 6 + (-8 - (5 + 0))
-8
5 + (3 - (8 + 4)) + 2
-2
Evaluate -18 + 13 + -3 - -14.
6
Evaluate -4 + (7 - 5) - (0 + 2).
-4
What is 3 - ((-2 - (0 - -1)) + 2)?
4
What is the value of 0 + 3 + 1 + -1?
3
What is the value of -6 + 3 + 4 + 0?
1
What is 2 - (3 - (-2 + 0)) - -3?
0
What is the value of -2 + 1 + -7 - (-19 + 15)?
-4
What is -4 + 6 + -3 + 4 - 3?
0
Evaluate 1 + -9 - (7 + -11) - -5.
1
-3 + 13 + 10 + -18
2
Evaluate (0 - -1) + -6 + 2.
-3
Calculate -2 - -1 - (-15 - -16).
-2
(-2 + 2 - 5) + (-3 - -5)
-3
What is the value of (3 - -1) + -15 + 11 + 5?
5
Evaluate (8 - 5) + (2 + 1 - 2).
4
What is (-39 - -26) + (2 - (-5 - -1))?
-7
-3 + 6 + -5 - -3 - 1
0
What is the value of 0 + 1 + (13 - 16)?
-2
Evaluate 6 - (-5 - (-5 + -2)).
4
What is the value of 3 + (-2 - 1) + -1?
-1
What is 3 + (1 + -3 - -3) + -9?
-5
What is (-3 - -9) + -10 + -1?
-5
What is -1 - ((-5 - 0) + -3 + 14)?
-7
What is -1 - (-2 - (-2 + 1) - 0)?
0
Evaluate 6 + -12 + 4 - (1 - 0).
-3
Evaluate -28 + 26 - (2 - 15).
11
What is -4 + 3 + (-6 - (-4 - 0))?
-3
What is the value of -3 + 1 + 0 + -1 + 5?
2
Evaluate 11 + -8 + -12 + 0.
-9
Evaluate -3 + 11 + -7 + 2.
3
What is the value of 8 + (-17 - (-4 - 7))?
2
What is 6 + (7 - (-2 - -11)) + -9?
-5
What is 1 + 0 - (-5 - -3)?
3
What is the value of (-3 - -6) + (-4 - -4 - 7)?
-4
What is 3 - (4 + -1 + -6 + 1)?
5
0 + 2 - (2 - (-1 - 2))
-3
What is 2 + (1 - 11) + 2 + 2?
-4
Calculate -3 + (0 - (-2 - -2) - -7).
4
What is the value of 11 + 8 + (-15 - -1)?
5
What is -8 + -3 + 7 + 7?
3
What is 0 - -1 - (5 - (7 + 0))?
3
What is -5 + (7 - -2 - -3)?
7
0 + 1 + 0 + (-32 - -31)
0
-10 + 8 + (3 - 5 - 0)
-4
What is -5 + (-19 + 12 - -14)?
2
Evaluate 9 - (1 + (4 - (-2 + 3))).
5
What is 2 - (2 + -9 + 4)?
5
What is -17 + (13 - 8) - -16?
4
What is -6 + 4 - -1 - -1 - -4?
4
What is the value of 1 + 14 - (-46 + 55)?
6
Evaluate (1 - -3 - 13) + 1 + 5.
-3
(8 + -2 - 3) + -6
-3
Evaluate -2 + 3 + (-5 - 1).
-5
Evaluate -7 - (1 - 2 - (6 - 3)).
-3
Evaluate -9 + 6 - (-3 - -1).
-1
Evaluate (-15 - -5) + 1 + 10.
1
-2 - -10 - ((6 - 10) + 16)
-4
What is the value of -3 + 2 + 0 + 1 + -1?
-1
8 + (6 - (4 + 12 + -4))
2
What is -1 - (-10 - (7 + -10))?
6
6 - (-1 - -1 - (-9 - -6))
3
Evaluate 1 - (2 - (3 + 2)).
4
4 + (1 - 1) + 13 + -13
4
Calculate 3 + -2 + (3 - 3) + 1.
2
What is 79 - 72 - (4 + 0)?
3
(0 - (3 - 4) - -3) + -2
2
What is the value of -3 + 12 + (-1 - 5)?
3
(-1 - (-1 + 1)) + 11 + -8
2
Evaluate -2 - (0 + (3 - 3) + -1).
-1
Calculate -8 + -1 + (9 + -15 - -7).
-8
Evaluate (-13 - (4 + -16)) + (7 - 0).
6
What is 7 + -7 + 7 + -7?
0
What is 1 - (14 - (3 - -5))?
-5
Calculate -15 + 0 + 10 - -12.
7
24 + -11 + -2 + -9
2
19 + -6 - (1 - -14)
-2
-7 + -2 - (-48 - -40)
-1
What is the value of (-6 - (-4 + -4) - 0) + -5?
-3
1 + -10 + (1 + 11 - 8)
-5
(4 - (-2 - -1)) + -7
-2
What is 8 - (0 - -4) - 6?
-2
Evaluate 0 + -3 - (9 + -12 + 5).
-5
Evaluate -11 + 15 + -6 - (4 + -1).
-5
What is the value of -1 + (2 + -8 - 3) + 5?
-5
What is the value of (3 - -5 - (-5 - -6)) + -2?
5
What is -2 + (1 - 0 - (-2 - -2))?
-1
Evaluate -2 - ((-1 - (18 - 6)) + 7).
4
1 + -1 - 4 - (-725 - -726)
-5
Evaluate -22 - -21 - (-4 + -1).
4
Calculate 9 + 2 + -20 - -20.
11
Evaluate 8 - 11 - (2 + -5).
0
Evaluate 0 - 0 - (-40 - -37).
3
-9 - -4 - (-11 + 1)
5
What is (11 + (-7 - -2) - 3) + -2?
1
Calculate 3 + -1 + (14 - 20) + 7.
3
What is -4 - 0 - -4 - (6 - 7)?
1
5 - (2 + -1 + 7)
-3
What is the value of 13 + -10 + 4 - (-1 - -5)?
3
What is (1 - (3 + 0 + 5)) + 4?
-3
What is -3 + 5 + (-5 - 3)?
-6
What is (3 - -1) + (3 - (3 + 7))?
-3
Evaluate 7 + 1 + -2 + 2 + -2.
6
1 + 3 - ((-6 - -3) + 4)
3
What is 3 - (3 + -1 - (2 + -6))?
-3
What is (-8 - (-5 + (-1 - -2))) + 6?
2
0 - 3 - -1 - (1 - -2)
-5
What is 2 + (-4 - (1 - 5))?
2
What is -2 + (5 - 8 - -2)?
-3
What is the value of (0 - -2) + -6 + 4?
0
Calculate 2 + (10 - 3) + -5.
4
Calculate -13 - (1 - (-8 + 18)).
-4
Calculate -30 + 37 + (3 - (8 + 0)).
2
Calculate (9 - (3 - -5)) + (2 - 5).
-2
Calculate -5 + 1 + 1 + 5.
2
Evaluate 4 - -1 - (-21 + 33).
-7
-1 - 6 - (-12 + 7) - -4
2
What is the value of -10 + 3 + 8 + -3?
-2
-1 - 2 - (-3 + 4 - 2)
-2
What is the value of (9 - 9) + 1 - -2?
3
Evaluate (87 - 81) + (2 + -11 - -1).
-2
(-2 + -2 - -6) + 0
2
What is -8 + 8 + 10 + -6?
4
Calculate 4 + -2 + (0 - 3).
-1
What is 3 + (2 - 5 - 3)?
-3
Evaluate -25 + 20 + (4 - 1).
-2
Calculate -2 - (-11 + 20 - 15).
4
-5 + 2 + 11 + -16
-8
Calculate 5 + -6 - (-2 - 1 - -3).
-1
What is the value of 2 + 4 + -1 + 4 + -4?
5
Evaluate -6 + (-2 - (-6 - 0) - 0).
-2
What is 5 + (-2 - 0) + (-4 - -5)?
4
What is the value of -4 + 6 + 1 + -6?
-3
(5 - 5) + -1 - 6
-7
Evaluate 7 + (3 - 8) + -1.
1
What is -7 - ((2 - 13) + -3)?
7
Calculate 4 + -9 + 5 - (-2 + -2).
4
What is the value of 14 + -6 + -22 + 8?
-6
What is -9 + 11 + (-8 - (1 + 0))?
-7
Evaluate -2 - (-1 + 5 + -2).
-4
What is the value of 5 + (-5 - -1) + 4?
5
Evaluate (5 - 11) + -1 + 4.
-3
Calculate -18 + (7 - -5 - 3).
-9
Evaluate -2 + 2 - -1 - (-2 + -2).
5
What is the value of -3 - (-13 + 6 + 1 + 0)?
3
-12 + (2 - -5 - -4)
-1
-3 - (3 + -17 + 8) - -7
10
Calculate (-1 + -2 - (-6 - -2)) + 0.
1
What is 3 + (9 - 5 - 1) - 3?
3
Evaluate 8 - (4 - (-4 - -8)).
8
What is the value of (2 - 4) + (3 - 2 - 0)?
-1
Calculate -1 + (3 + -3 + 2 - -2).
3
Calculate -16 - -21 - (-1 - -4).
2
What is the value of -4 - (5 + -1) - (-7 - -3)?
-4
Evaluate -6 + -5 + 5 + 5.
-1
Calculate 18 + -8 - 7 - -6.
9
Evaluate 1 + 6 + 5 + -3 - 5.
4
2 + (0 - (1 - 0))
1
What is the value of -11 - -3 - (2 + 0 - 3)?
-7
Evaluate 6 + (-15 - -9) + (-5 - 2).
-7
What is 4 + -1 + -2 + 1 + 0?
2
0 - (0 + -1 + -27 + 30)
-2
Evaluate 1 - (3 - (0 + 0 + 0)).
-2
Evaluate 5 + 4 + -8 + 3.
4
(14 - 2 - -8) + -11
9
Calculate (1 - 5) + (0 - -3).
-1
4 + -8 + (7 - 3)
0
What is -3 + 3 + -4 - (5 + -3)?
-6
What is the value of 4 + (-2 + 0 - 1) - -4?
5
What is the value of -1 + 1 + -3 - (-1 - -3)?
-5
Evaluate 14 + -1 - -1 - 10.
4
Calculate (-3 + 5 - -5) + -4.
3
-3 - (-2 + (-1 - 1))
1
Evaluate (2 - 6) + 0 + -1 - -11.
6
What is (-2 - 3) + -5 + 8?
-2
What is 5 + (-2 - 1) + -6 + 1?
-3
Evaluate -9 + 10 - 3 - -10.
8
Evaluate -1 - ((0 - 0) + -4).
3
Evaluate -9 + 3 + 3 + 1 + 0.
-2
What is 9 + -2 + -2 + -5?
0
Evaluate 3 + (2 + -3 - 4).
-2
-4 - (-11 - -5 - (1 + -6))
-3
Calculate 3 + -9 - (-8 - (-1 - 4)).
-3
Evaluate (0 + -8 - (-5 - 0)) + -1.
-4
What is 8 - (-9 - -15) - -4?
6
Calculate -7 - (-12 - (0 + -4)).
1
Calculate -4 + (-3 - (-9 + 3)).
-1
What is the value of -3 - (-1 - (4 - 8))?
-6
Calculate -5 + 6 + -8 + 2 - 1.
-6
Evaluate 8 - ((1 - 2) + 4 + 0).
5
Evaluate -48 - -46 - ((0 - -3) + 1).
-6
Calculate (4 + -2 - 1) + -1.
0
Calculate (-4 - 1) + -7 + (-6 - -14).
-4
Evaluate 1 + 4 - (-4 + -3 - -9).
3
What is the value of (8 - 7 - -6) + -10?
-3
Evaluate 0 + -2 - (-16 + 15).
-1
Evaluate 2 - (13 + 1) - -4.
-8
0 - (-5 + 6 + -3 + 2)
0
(-5 - (4 - (5 + -3))) + 4
-3
Evaluate -1 - (-1 + 1 - 7).
6
What is -3 + 0 - (4 - 7 - -2)?
-2
What is 8 - (-2 + (-3 - -4) - 2)?
11
What is -5 + (-5 - -8) | {
"pile_set_name": "DM Mathematics"
} |
7348368
Calculate the lowest common multiple of 18182268 and 520.
181822680
Find the common denominator of 127/186 and -17/365553.
22664286
Calculate the smallest common multiple of 222 and 15441024.
571317888
Calculate the common denominator of -31/12540 and -149/245784.
1228920
What is the common denominator of -57/71786 and 68/33?
215358
What is the common denominator of -101/10226548 and -51/25566370?
51132740
Calculate the least common multiple of 88344 and 2002464.
6007392
What is the lowest common multiple of 7600 and 28760?
5464400
Calculate the lowest common multiple of 5788800 and 4050.
17366400
Calculate the lowest common multiple of 6072394 and 11080.
121447880
Find the common denominator of 40/5427 and 139/1754730.
5264190
What is the lowest common multiple of 108 and 20913720?
188223480
Calculate the least common multiple of 3081 and 4076527.
966136899
Find the common denominator of 119/48672 and -131/324792.
16889184
Calculate the common denominator of 82/26145 and -131/70330050.
70330050
What is the smallest common multiple of 49104 and 2977488?
32752368
Calculate the smallest common multiple of 1076763 and 220762.
325182426
What is the common denominator of 19/9656 and -71/76576?
92427232
What is the smallest common multiple of 5885 and 24205005?
24205005
Calculate the common denominator of 71/1166132 and -131/1590180.
17491980
Calculate the least common multiple of 716988 and 1087512.
162039288
What is the common denominator of -59/1449365 and 18/5785?
18841745
What is the smallest common multiple of 112584 and 2328?
10920648
What is the smallest common multiple of 7916606 and 79166060?
79166060
What is the common denominator of 125/3192 and -47/78939?
11998728
Calculate the least common multiple of 2223198 and 127770.
11115990
Find the common denominator of -67/460 and -4/946105.
3784420
Find the common denominator of -53/5110 and 51/40810.
2979130
Calculate the least common multiple of 3492781 and 7309396.
1103718796
Calculate the least common multiple of 129725 and 1255.
32560975
Find the common denominator of 29/806300 and 79/24.
4837800
Find the common denominator of -83/17173422 and -41/3816316.
34346844
Calculate the least common multiple of 7781980 and 14785762.
147857620
Calculate the smallest common multiple of 1374 and 1631349.
747157842
Calculate the common denominator of 49/90 and 51/234638050.
2111742450
What is the lowest common multiple of 649444 and 134652?
95468268
What is the least common multiple of 3008 and 21012384?
42024768
Calculate the smallest common multiple of 20895 and 593617.
62329785
What is the lowest common multiple of 1570256 and 1177692?
4710768
What is the lowest common multiple of 398457 and 2390742?
2390742
What is the smallest common multiple of 39864600 and 175?
279052200
What is the smallest common multiple of 103721 and 3510137?
66692603
Calculate the common denominator of -139/353970 and 41/16074.
16636590
What is the lowest common multiple of 3511963 and 270151?
3511963
What is the smallest common multiple of 3408 and 6124176?
6124176
What is the smallest common multiple of 2003518 and 170?
10017590
What is the common denominator of 40/657 and -37/2301909?
6905727
What is the lowest common multiple of 1404 and 553041?
28758132
What is the smallest common multiple of 42 and 4529364?
4529364
Calculate the lowest common multiple of 4513096 and 11116.
4513096
Calculate the smallest common multiple of 836214 and 2508642.
2508642
Find the common denominator of -59/3418128 and 83/2576.
78616944
Calculate the common denominator of -2/1379853 and 65/4906144.
44155296
What is the common denominator of 31/243 and 49/6091443?
18274329
Find the common denominator of -41/75678 and 28/5486655.
10973310
Calculate the common denominator of -7/55309564 and 37/12.
165928692
Calculate the least common multiple of 39590857 and 167.
39590857
Calculate the least common multiple of 34662 and 1375456.
449774112
Find the common denominator of 13/76608 and -179/271320.
6511680
What is the lowest common multiple of 17168 and 10092?
1493616
Calculate the lowest common multiple of 2486208 and 57408.
32320704
What is the lowest common multiple of 110 and 49849767?
498497670
Calculate the smallest common multiple of 903 and 33952800.
33952800
Calculate the least common multiple of 2737995 and 4066.
585930930
Calculate the least common multiple of 292988626 and 2128.
2343909008
What is the common denominator of 1/67126 and 34/115?
7719490
Calculate the lowest common multiple of 115866 and 11234.
15873642
Calculate the common denominator of 155/114 and 53/10815750.
10815750
What is the common denominator of 31/4067745 and 7/13850?
40677450
Calculate the smallest common multiple of 20268 and 2310552.
2310552
Calculate the smallest common multiple of 6139 and 18325792.
128280544
Calculate the least common multiple of 473000 and 192038.
96019000
What is the common denominator of -13/40 and -1/5137398?
102747960
Calculate the least common multiple of 6198547 and 42833.
43389829
What is the smallest common multiple of 209412 and 432?
837648
What is the least common multiple of 114474672 and 63597040?
572373360
What is the least common multiple of 2302212 and 1342957?
16115484
Calculate the least common multiple of 25512234 and 773098.
25512234
What is the common denominator of 11/129816 and 63/49282?
5322456
Calculate the least common multiple of 3371856 and 159996.
225914352
What is the common denominator of 47/185 and -99/17890?
661930
What is the common denominator of -39/960664 and 11/644?
6724648
Find the common denominator of -23/45742752 and 83/48.
45742752
Calculate the common denominator of 79/209895 and 19/2555.
15322335
Calculate the common denominator of -77/40512 and -19/385120.
487561920
Calculate the common denominator of 23/14308550 and 93/64.
457873600
What is the common denominator of -52/2009887 and -29/12059322?
12059322
What is the common denominator of 49/56372352 and 109/14016?
56372352
Calculate the common denominator of 71/33 and 58/6435.
6435
Find the common denominator of -67/7932150 and 123/797621750.
7178595750
Calculate the common denominator of -8/4699 and -65/690772.
3245937628
What is the smallest common multiple of 981 and 281737?
276383997
Find the common denominator of 137/60474 and -83/5546.
167694402
Calculate the smallest common multiple of 66155376 and 56.
66155376
Calculate the least common multiple of 12 and 149801788.
449405364
Calculate the common denominator of -44/13833945 and -95/1872.
2877460560
Calculate the lowest common multiple of 4340380 and 318560.
34723040
What is the least common multiple of 90177888 and 247989192?
991956768
Calculate the common denominator of 19/252 and 127/6435528.
135146088
Find the common denominator of 1/25040 and 151/5123184.
25615920
Calculate the common denominator of 157/243156 and -61/6078900.
6078900
What is the least common multiple of 2534416 and 39576?
129255216
Calculate the least common multiple of 996597 and 17654004.
123578028
What is the lowest common multiple of 185 and 1498195?
55433215
Calculate the smallest common multiple of 1170576 and 2.
1170576
What is the common denominator of 25/1458384 and -29/2916768?
2916768
What is the common denominator of -33/153092758 and -71/182?
153092758
What is the lowest common multiple of 104344 and 1416?
18468888
Calculate the lowest common multiple of 24026 and 39555.
3243510
What is the common denominator of 17/108 and -157/1225164?
11026476
Calculate the common denominator of -41/869862 and -19/87.
25225998
Calculate the common denominator of 89/4665868 and 33/982288.
18663472
What is the smallest common multiple of 162060 and 21096?
284901480
What is the smallest common multiple of 3712683 and 1999137?
25988781
Calculate the least common multiple of 22 and 364796.
4012756
What is the lowest common multiple of 14891200 and 328?
14891200
What is the smallest common multiple of 3984780 and 80?
15939120
Calculate the least common multiple of 90 and 251649730.
2264847570
Calculate the smallest common multiple of 4674 and 4344.
3383976
Calculate the smallest common multiple of 18 and 10298274.
30894822
Calculate the common denominator of 89/5256 and 49/7209480.
21628440
Calculate the lea | {
"pile_set_name": "DM Mathematics"
} |
6*l + 2221. Let r(z) = 36591*z**2 + 99*z + 35535. Let o(n) = -33*b(n) + 2*r(n). Find the first derivative of o(c) wrt c.
-4578*c
Let k(m) = 16*m - 22*m + 9*m - 17. Let j be 1/(3/6) + -6. Let s(l) = -1. Let z(n) = j*s(n) + k(n). Differentiate z(t) wrt t.
3
Let p(y) = 395*y**4 + 63*y**3 - 34*y**2 + 15562. Let a(u) = -113*u**4 - 18*u**3 + 10*u**2 - 4446. Let o(n) = -17*a(n) - 5*p(n). Differentiate o(m) wrt m.
-216*m**3 - 27*m**2
Let k = 14 + -12. What is the second derivative of 27*y + 30*y - 33*y**k - 14*y - 17*y**2 wrt y?
-100
Let w be 4 + 115/(-10)*-2. Let r = 27 - w. What is the first derivative of -4 + 13*t + 3 + r - 5 wrt t?
13
Let s(z) be the first derivative of 71*z**4/2 - 11*z**3/3 + 1395*z + 3370. What is the derivative of s(t) wrt t?
426*t**2 - 22*t
What is the second derivative of -2171*t - 50*t + 726*t**2 + 168*t**2 + 320*t**2 wrt t?
2428
Let n(f) = -f**2 - 9*f + 11. Let j be n(-8). What is the second derivative of 6 + 2*d + 10*d**2 - 32 + j + 16 wrt d?
20
Let q(i) be the second derivative of -54*i**5 - 106*i**3 - i**2 - 11*i - 57. What is the second derivative of q(t) wrt t?
-6480*t
Suppose 508 = -2*m + l - 0*l, l + 500 = -2*m. Let g be ((-8)/6)/(48/m). What is the derivative of 3*v - g - 13*v - 14*v - 4*v wrt v?
-28
Let s be 138/(-6)*-1*13. Suppose 65 - s = -6*b. What is the third derivative of 2*x**2 + 39*x - b*x + 13*x**5 wrt x?
780*x**2
Let w(k) be the third derivative of k**5/4 + 7*k**4/12 + 391*k**3/2 - 3*k**2 - 71*k. What is the derivative of w(m) wrt m?
30*m + 14
Suppose -4*w - 16 = 4*i, -2*w + 3*w = -4*i - 19. Suppose -w + 9 = 4*p. Find the second derivative of 2 + 20*j**4 - 35*j**4 + 16*j - p wrt j.
-180*j**2
Suppose -3*q - q - 5*h = -133, -2*h = 5*q - 162. Find the third derivative of -9*m - 126*m**3 + q*m - 23*m - 91*m**2 wrt m.
-756
Let d(q) be the third derivative of 0*q + 0*q**3 - 20*q**2 + 0 + 17/6*q**4 - 79/30*q**5. What is the second derivative of d(l) wrt l?
-316
Let c be (21/(-14))/(6/(-164)). Find the third derivative of 366 + r**5 + c*r**3 - 382 - 4*r**3 + 2*r**2 wrt r.
60*r**2 + 222
Find the second derivative of -7763*l**2 - 5227*l - 121*l - 1933*l**2 - 3095*l wrt l.
-19392
Let f(q) be the first derivative of 1/4*q**4 + 15/2*q**6 + 0*q + 7 - q**2 + 140/3*q**3 + 0*q**5. Find the third derivative of f(t) wrt t.
2700*t**2 + 6
Suppose 2*v + 4*s = 16, 3*v - 3*s + 5 = -7. Suppose -42*u + 63 = -35*u. What is the first derivative of 9*r**3 - u + v - 4 - 1 wrt r?
27*r**2
Let p = 1 - 0. Let b(u) = -8*u**3 - 14*u + 6. Let i(r) = -r**3 - r - 198 - 222 + 421. Let h(l) = p*b(l) - 6*i(l). What is the second derivative of h(c) wrt c?
-12*c
Suppose 2*s - 5*m = 26, 0*m - 31 = -5*s + 4*m. Let o = 7 - s. Find the third derivative of -o*a**5 - 6*a**3 + a**2 + 0*a**3 + 6*a**3 wrt a.
-240*a**2
Let l be ((-40)/(-3))/(-5)*(-27)/(-18). Let v(o) = -71*o + 37. Let d(n) = -214*n + 109. Let m(a) = l*d(a) + 11*v(a). Differentiate m(t) with respect to t.
75
Let m(n) be the first derivative of 1682*n**5/5 - 2155*n - 977. Differentiate m(c) with respect to c.
6728*c**3
Let h be 46/69 - 208/(-3). Let k = h - 70. Find the second derivative of m**5 + k*m - 10*m + 3*m + 24*m**5 wrt m.
500*m**3
Let d(y) be the third derivative of 0*y + 23/3*y**4 + 0 + 152*y**2 - 45/2*y**3. Differentiate d(b) wrt b.
184
Let q(t) be the third derivative of -59*t**6/24 - 871*t**5/30 + 74*t**2 + 1. What is the third derivative of q(i) wrt i?
-1770
Suppose -2*g + 10 - 2 = 0. Suppose 1123 = 13*t + 133 + 431. What is the third derivative of -t*r**4 - r**2 - r**2 + 38*r**g + 7*r**2 wrt r?
-120*r
Suppose 10 = 17*j - 24. What is the derivative of -50 - 25*q**4 - j*q + 283*q**3 + 284*q**3 - 567*q**3 wrt q?
-100*q**3 - 2
Let b be 54/12*(-270)/(-243). Let v(s) be the second derivative of -3*s - 1/3*s**3 - 3/4*s**b + 0 + 0*s**4 + 0*s**2. Find the second derivative of v(i) wrt i.
-90*i
Let t(v) be the second derivative of v**6/10 - 37*v**5/5 - v**4/6 + 7*v**3 - 6270*v. What is the second derivative of t(o) wrt o?
36*o**2 - 888*o - 4
What is the third derivative of -605*c**2 + 306*c**2 - 3864 + 301*c**2 - 2918*c**3 + 9236*c**3 + 2540*c**3 wrt c?
53148
Suppose g - 508 = -3*q, q - 8*g = -4*g + 191. Find the third derivative of 62*h**3 - q + 88 + 87 + 5*h**2 wrt h.
372
Let w(t) = 4*t - 13. Let g be w(6). Let d be 6/24*(g - 3). Find the third derivative of -6*q**3 + 23*q**3 + 12*q**2 + 5*q**d wrt q.
102
Let h(b) = 1370*b**2 - 7*b - 23341. Let m(d) = 910*d**2 - 4*d - 15561. Let g(v) = 5*h(v) - 7*m(v). Differentiate g(l) with respect to l.
960*l - 7
Let n(s) be the second derivative of -209*s**6/10 - s**5/10 - 3311*s**4/4 - 7789*s. What is the third derivative of n(q) wrt q?
-15048*q - 12
Let g = 199 - 125. Find the third derivative of -26*p**2 + g*p**5 - 46*p + 36*p**5 + 11*p**2 + 46*p wrt p.
6600*p**2
Suppose 4*a - 3*m - 35 = 0, 5 - 10 = -5*a - 4*m. What is the third derivative of -2*j**5 - 25*j**3 - j**4 + 2*j**a - 43*j**6 - 99*j**2 + 25*j**3 wrt j?
-5160*j**3 - 24*j
Let x be (-2)/(23/(-92) + (-6)/8). Find the second derivative of -73*f + 41*f**2 - f - 30*f**2 - 2*f**2 + 128*f**x wrt f.
274
Let m(t) = -t**3 - t + 250. Let l be m(0). Suppose -l - 200 = -10*b. Find the second derivative of -217*o**3 + 217*o**3 - b*o - 4*o**4 wrt o.
-48*o**2
What is the second derivative of -27*x**3 + 3 - 45*x**4 + 14*x**4 + 20*x**4 - 21*x**5 - 327*x - 329*x + 13*x**4 wrt x?
-420*x**3 + 24*x**2 - 162*x
Let d(r) be the first derivative of -251*r**4 + 110*r - 12. What is the first derivative of d(w) wrt w?
-3012*w**2
Let z(v) be the third derivative of v**8/168 + 152*v**6/15 - 12241*v**4/24 - 19*v**2 + 5*v - 2. What is the second derivative of z(h) wrt h?
40*h**3 + 7296*h
Let s be 10/4 + 3/24*-4. Find the second derivative of 50*p - s*p**2 + 6*p**2 + 18*p**2 wrt p.
44
Suppose 3 + 6 = -z. Let w be 5/(-1) + z + 12 + 2. What is the derivative of -2*o + 7*o + 3*o + 7 + w*o wrt o?
8
Let z(a) = 6699*a - 448. Let r(f) = -1675*f + 111. Let d(b) = 18*r(b) + 4*z(b). What is the derivative of d(s) wrt s?
-3354
What is the first derivative of -490 + 249 + 1313*j**3 + 1373*j**3 - 3*j**4 - 9*j**3 - 1280 wrt j?
-12*j**3 + 8031*j**2
Let v = 53 + -51. Let f(u) = 43*u**3 - 4*u - 9. Let b(j) = -44*j**3 + 6*j + 9. Let o(h) = v*b(h) + 3*f(h). Differentiate o(q) with respect to q.
123*q**2
Let r be (-36)/(-90) + 593/5. What is the second derivative of -13*x**5 - 12*x**5 - r*x - 23*x**5 wrt x?
-960*x**3
Let a(u) = -u. Let b be a(-3). Let y be (754/((-13)/((-156)/(-8))))/(-3). Find the second derivative of y*l - 3*l**2 - 39 - 379*l + b - 2*l**2 wrt l.
-10
Let d(b) be the first derivative of -2/3*b**3 - 36/7*b**7 + 114 + 0*b**4 + 0*b**5 + 0*b**6 + 51*b + 0*b**2. What is the third derivative of d(j) wrt j?
-4320*j**3
Let o = 2 + 3. Let s be 196/(-70)*5/(-7). Find the first derivative of -o + 4 + 6 - 3 + 16*r**s wrt r.
32*r
Let n be -2*(110/(-4) + 3). Let d = 64 - n. Find the second derivative of 7*z - 24*z + d*z**5 + 3*z wrt z.
300*z**3
Let n(l) = 14189*l**2 + 44*l + 9051. Let y(w) = -7095*w**2 - 24*w - 4528. Let s(t) = 6*n(t) + 11*y(t). What is the first derivative of s(z) wrt z?
14178*z
Suppose 12*i - 17*i + 7 = 4*t, 0 = 3*t + 6. What is the third derivative of s**2 - 2*s**6 + 71*s - 98192*s**i - 100*s**5 + 98192*s**3 wrt s?
-240*s**3 - 6000*s**2
Let y(p) = 3*p**5 - p**3 - p - 3. Let i(m) = -6155*m**5 + 3*m**3 + 24*m - 48. Let h(b) = i(b) + 3*y(b). What is the second derivative of h(w) wrt w?
-122920*w**3
Let l(n) = 2651*n**3 - 31*n**2 + 8*n - 17. Let m(h) = 2651*h**3 - 30*h**2 + 7*h - 17. Let b(x) = -5*l(x) + 6*m(x). Find the third derivative of b(p) wrt p.
15906
Suppose -2*u - 5*a - 12 = 0, -332*u = -327*u + 3*a - 46. Let c be -1*-11*(0 - -1). Differentiate -u*n**2 - c*n**2 - 3 + 17*n**2 with respect to n.
-16*n
Let r(k) be the second derivative of -77/12*k**4 - 12*k - 1/6*k**3 - 1 - 7*k**2. Find the second derivative of r(j) wrt j.
-154
Find the third derivative of -13*y**3 + 37*y**4 - 16*y**4 + 232*y**2 + 131*y**2 - 14*y**4 wrt y.
168*y - 78
Let i(g) be the third derivative of -281*g**5/4 + 1819*g**3/2 - 1808*g**2. Differentiate i(l) with respect to l.
-8430*l
Let l(i) be the second derivative of -1 + 40*i + 17/2*i**3 - 59/2*i**2. What is the first derivative of l(c) wrt c?
51
Let n(r) = r**3 - 8*r**2 + 8*r + 9. Let i | {
"pile_set_name": "DM Mathematics"
} |
1*n + 20. Let a be (102 - 99) + (1/1 - -17). Give r(a).
20
Let o(r) = 947 - r - 1401 + 453. Let a be 3/2*(-2)/1. Determine o(a).
2
Let t(f) = 2*f**3 + 1. Let u = 307 - 308. Determine t(u).
-1
Let j(z) = 27*z - 30. Let n be j(4). Let q(b) = -n*b - 4 - b**2 + 36*b + 30*b - 1. Let i(d) = d - 34. Let o be i(23). Give q(o).
6
Let o = -13217 - -13215. Let g(w) = w**2 - w. Suppose 0*r - 4 = 4*r. Let f(t) = -3*t**2 + 7*t - 2. Let m(n) = r*f(n) - 6*g(n). Calculate m(o).
-8
Let c(g) = -3*g**2 + 2*g + 7. Let o be 4 + (-583)/77 - (54/(-21) + 2). Give c(o).
-26
Let l(m) be the first derivative of m**4/2 - m**3/3 - 3*m**2/2 + 94*m - 10719. What is l(0)?
94
Suppose 0 = 3*q - 9, 20*q = 2*a + 22*q. Let m(b) = 2*b**3 + 2*b**2 - 5*b + 6. Determine m(a).
-15
Let f(j) = j + 13. Let r = 1 + 26. Let m be (-150)/27 + (-12)/r. Give f(m).
7
Let n(s) = -s**2 - 18*s + 59. Suppose 5*w - 4*m + 134 = 0, 149 - 405 = 13*w + 5*m. Calculate n(w).
-29
Suppose 0 = 10*j - 71 + 31. Let c(m) = 1 + 11*m**2 + j - 6*m**3 + 5*m**3 - 1 + 5*m - 6*m**2. What is c(6)?
-2
Let x(v) = 2*v. Let q(i) = -3*i + 1. Let l(s) = 3*q(s) + 5*x(s). Let w(g) = g**2 - 36*g - 77. Let n be w(22). Let r = 378 + n. Give l(r).
-4
Let n(v) = 4*v**2 - 5*v + 2. Let u(l) be the third derivative of l**5/20 - 5*l**4/24 + l**3/6 + 53*l**2. Let p(i) = 4*n(i) - 5*u(i). What is p(-3)?
-3
Let g = 246 - 168. Let p = g + -79. Let m be p*(1 + 2)/(-3). Let d(s) = 2*s**3 - s**2 + 1. Calculate d(m).
2
Let k(u) = 525*u - 46 - 260*u - 269*u. Let z be k(-10). Let b(q) = 3*q - 3. Give b(z).
-21
Let b(w) be the first derivative of -w**4/4 - 4*w**3/3 + w**2 - 15*w - 16. Let g be b(-5). Suppose -j - 69 + 74 = g. Let h(q) = -q**2 + 4*q - 3. What is h(j)?
-8
Let u(g) = -3*g + 11. Let a(f) = -f - 1. Let k(w) = 3*a(w) + u(w). Let r be k(2). Let s be 2 + -2 + (r - -5). Let v(b) = -9*b**2 + b - 1. Give v(s).
-9
Let m(q) be the first derivative of q**2/2 + 7*q + 3254. Suppose -3*z = 2*z - a + 20, 2*a = -3*z + 1. What is m(z)?
4
Suppose 132 = -41*z + 214. Let u(h) = -12*h**2 - 2. Let s(p) = p**2. Let y(b) = 6*s(b) + u(b). Calculate y(z).
-26
Let p(y) = 5*y**2 - 9*y - 11. Let b(o) = 25*o**2 - 43*o - 54. Let w(t) = 4*b(t) - 19*p(t). Calculate w(6).
167
Let z(v) be the first derivative of v**3 + 23*v**2/2 + 21*v - 1977. What is z(-7)?
7
Let y(o) = o**2 - 7*o + 7. Let g be (-1 + 2)/(8 + -2 + -7)*-11. Determine y(g).
51
Let s(i) = -49*i - 17*i - 71*i + 42*i**2 + 15 - 34*i**2. Calculate s(17).
-2
Let w(y) = y**2 + 9*y + 10. Suppose 4*s + 3*h - 54 = 0, h + 2 = 4. Suppose s*f + 64 = 14*f. Suppose -2*j - 2*j - f = 0. What is w(j)?
2
Let w(u) = 2*u + 57 - 23*u - 132 + 43 - u**2. Calculate w(-19).
6
Let p(m) be the first derivative of -m**4/4 - 15*m**3 + 24*m**2 + 97*m - 78. Calculate p(-46).
5
Suppose 2*m = 2*k + 28 + 112, -4*k + 280 = 4*m. Let l = m + -63. Suppose 2 = 5*w + l, -c - 4 = 4*w. Let s(f) = -f**2 - f + 8. Calculate s(c).
8
Suppose -5*k + 53 + 162 = -3*h, 255 = 5*k + 5*h. Let q = k - 34. Suppose 0 = -4*g + b + q, -g + 0*b + b = -6. Let u(p) = 5*p**2 - 2*p - 1. Calculate u(g).
15
Let f(v) = 27*v**2 + 8*v - 51. Let z(s) = -17*s**2 - 5*s + 33. Let d(m) = 5*f(m) + 8*z(m). What is d(7)?
-40
Let u(s) = -s**3 - 5*s**2 - 6*s - 6. Suppose 0 = -5*f + 17 + 53. Let o(j) = -9*j - 9. Let h be o(-2). Suppose -22 = h*c + f. What is u(c)?
2
Let z = 73 - 74. Let n(a) = -6*a + 2. Let h(o) = o - 1. Let k(l) = z*n(l) - 4*h(l). Let p = 41 - 35. Give k(p).
14
Let w(o) = -13*o**3 - 3*o**2 - 2*o + 2. Suppose -2*f - 2 = -2*r, -7 = 2*r - 6*r + 5*f. Give w(r).
98
Let b(i) = i**2 - 23*i + 88. Let m be b(18). Let v(d) = -2*d**3 + 3*d**2 + d - 2. Calculate v(m).
24
Let d(b) be the second derivative of -b**7/840 + b**6/120 - b**5/40 - 17*b**4/3 - 6*b. Let y(c) be the third derivative of d(c). What is y(4)?
-27
Let s(g) = 2*g - 4. Suppose a - 7*a = -756. Let n = -17 + 45. Let j be n/a + (1 - 47/9). Determine s(j).
-12
Suppose 0 = d - 5*k - 16, -2*d + 21 = -3*k + 10. Let h(q) = 51*q**3 - q**2 + 2*q - 2. Give h(d).
50
Suppose -55 = 86*v - 97*v. Suppose -p - v*i = -3*p + 12, -24 = p + 5*i. Let f(m) = 3*m**2 + 6*m. Give f(p).
24
Let m(q) = 5*q + 3. Let k(f) = 2*f**2 + 25*f + 78. Let l be k(-8). Let z be 2/(l/48 - (-19)/(-24)). Calculate m(z).
-12
Let r(h) = -h**3 + h**2 - 3*h + 3. Let q(z) = 52*z**2 - 2*z + 57. Let u(n) = q(n) - r(n). Give u(-51).
3
Let f = 28 + -28. Let d(b) = f + 0 - 3510*b + b**2 + 3511*b. Let g = -26 - -29. Calculate d(g).
12
Let z be (-2)/(-8) - 1 - (-156)/16. Let q(x) = x**3 - 17*x - 3 - 7*x**2 + 15*x + z*x**2. Let a be 2*-2 + 2*1/2. Give q(a).
-6
Let v(y) = 5*y**3 + 7*y**2 + 3*y - 7. Let q(l) = -4*l**3 - 7*l**2 - 4*l + 6. Let h(a) = 6*q(a) + 5*v(a). Let o = -17950 + 17958. What is h(o)?
-7
Let b(o) = o**3 + 50*o**2 - 2*o - 99. Let d be b(-50). Let c(f) = -2 + d + 4 + 3164*f - 3157*f. Give c(5).
38
Let m(x) be the third derivative of x**5/15 - x**4/3 + 5*x**3/2 + 4129*x**2. What is m(2)?
15
Let s(c) = 7 - 2*c**2 - c - 5*c + c**2 - 2. Let q be s(-7). Let r(x) = 3*x + 10. Let y be r(q). Let b(g) = g**2 - 4*g + 1. Calculate b(y).
1
Let x(m) = m**2 - 39*m + 227. Let i be x(32). Let z(j) = 21*j - 22. Calculate z(i).
41
Let m(s) be the third derivative of -s**4/8 + 2*s**3 + 9*s**2 + 3. Suppose -154 = -25*l - 4. Give m(l).
-6
Let m = -261 + 212. Let d be 2*(-5 - m/7). Let r(p) = p**3 - 4*p**2 - p - 4. Give r(d).
-8
Let u(q) be the second derivative of -35*q**3/6 - 31*q**2 + 351*q + 3. Calculate u(-2).
8
Let n be 3/4 - 124/16. Let c(x) = -10*x + 3. Let b(z) = -31*z + 10. Let g(w) = n*c(w) + 2*b(w). Let f = -1499 + 1500. Give g(f).
7
Let i(c) = 6*c + 40. Let j(o) = -5*o**2 + 189*o - 155. Let f be j(37). Give i(f).
-2
Suppose -18*q + 42*q = 1200. Suppose 5*a = 4*j - q, a = 5*j - 28 - 3. Let m(y) = y**2 + 9*y + 8. Give m(a).
-10
Let a(k) = -2*k**2 - 8*k - 4. Let t be (-16 + 14)/(2/(-3))*8. Suppose 7*v - 3*v = -t. Give a(v).
-28
Let b = 1819 + -1820. Let l(j) = -6*j - 1. Let q(p) = -12*p - 2. Let n(f) = -5*l(f) + 3*q(f). What is n(b)?
5
Let a(r) = -r**2 - 2*r + 5. Let j be a(-4). Suppose 3*o + w - 4 = 0, -2*o + 9 = -2*w - 7. Let g(t) = -18 + 34 + o*t + 2*t**2 - 20 + t**2. Calculate g(j).
14
Suppose 5*h = 0, 0 = 3*t - 2*h + 4*h - 48. Let z(v) = -v**2 + 8*v + 127. Determine z(t).
-1
Let y(r) = -r**2 + r + 1. Let m be (-10)/(-10) + (0 - (1 - 4)). Let b(s) = -3*s - m*s + 2 + 8*s + 6. Let g be b(-7). Calculate y(g).
1
Let q be (-8)/(64/(-131982)) - 3/4. Let v(t) = 2 + 8 - q*t + 16498*t. What is v(-9)?
1
Let m be ((-5)/(-10))/((-3)/6) - -3. Let k(h) = -5 + 10 - 7*h - 3*h**3 - 9*h**m - 3*h**3 + 5*h**3. Suppose -4*i - 56 = 3*i. Calculate k(i).
-3
Let h(p) = -p**3 + p**2 + 2*p + 1. Let x be (-20140)/(-65) - 2/(-13). Suppose 6 = -x*o + 313*o. Determine h(o).
1
Suppose -j - 5*t + 41 = 0, -2*t - 53 = -65. Let z(k) = -4*k + 60. Give z(j).
16
Let l be (-16)/12 + (-26)/(-6). Suppose -7*x = -l*x - 8. Let b(v) = -10*v + 5. Let g(n) = 19*n - 9. Let c(q) = 11*b(q) + 6*g(q). Give c(x).
9
Suppose -9*x - 56 = 12*x - 14*x. Let a(v) = v**2 + 5*v - 4. Give a(x).
20
Let d(r) be the third derivative of 0 - 11/24*r**4 + 103*r**2 - 1/60*r**5 + 1/3*r**3 + 0*r. Give d(-11).
2
Suppose -51*z + 28 = -112 - 166. Let m(u) = -u - 9. Determine m(z).
-15
Let h(z) = 13*z**3 + 26*z**2 - 35*z + 47. Let c(f) = 11*f**3 + 24*f**2 - 34*f + 48. Let r(j) = -6*c(j) + 5*h(j). Give r(-16).
-5
Suppose 4*g + 17 = u, -3*u + g + 10 - 3 = 0. Let o be 1 - (2 + (3 + u)*-1). Let f(x) = -2*x - 3 + x + x**2 + o. Calculate f(3).
6
Let k(t) = 26 - 5262*t - 5263*t + 10551*t + t**2. Give k(-1).
1
Suppose 5*u - h - 7 = 6*u, 3*h = -u - 15. Let a(d) = -2*d**3 - 4*d**2 + 0*d**2 + 27*d - 29*d. What is a(u)?
24
Let l(g) = 0 + 1 + 2 + 0 - 4 - g. Let u be 0*2*(4/(-16))/(-1). Give l(u).
-1
Let f(z) be the first derivative of -z**2/2 + 47*z + 3669. Give f(32).
15
Suppose 66*n + 0*n + 32*n = 0. Let r(g) = 2*g**2 - 2*g + 41. What is r(n)?
41
Let q be (38*(-52)/(-741))/((-8)/(-9)). Let i(k) = k - k**3 + k + 3*k**2 - 4 + 1. Give i(q).
3
Let v(f) = 5*f + 78. Let r be v(-32). Let w = -80 - r. Let u(q) = 0*q**2 - q**w + 1158*q + 3 - 1156*q. Determine u(5).
-12
Suppose -7 = t - 2. Let h = t - -15. Suppose 4*b = 6 + h. Let d(w) = w**3 - 5*w**2 + 4*w - 4. What is d(b)?
-4
Let c = -462 - -466. Let h(w) = 5*w - 7 + 0*w**2 - 2*w - c*w - 3*w + w**2. | {
"pile_set_name": "DM Mathematics"
} |
0665, 348990998, 465321331, 581651664?
697981997
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-1334523
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394
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212753
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11280
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233425
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949091
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-403114
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8406194
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-3095850
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379191
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7820421
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9779
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103
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5955245
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-13024
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-27954596
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-454575
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-366854
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80687958
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997813
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-60788
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-13988178
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289957
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-7761425
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-573723
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-5712
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4253314
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-566896
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99635
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9326872
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-872819
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-3671783
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27726
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-269712
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21372681
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3763663
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57107
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1423
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13080
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-32255828
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-48814
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110475
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13444
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-136210
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25835
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40010195
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-5378
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-43674
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-7269
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-472035
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-279697377
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2119568
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46817
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737924255
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-102850
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-8194016
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-274774
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-15686308
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29477424
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24329036
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-3407641
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-84725657
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77302
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-457344
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230160
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53743
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-4232196
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389305
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103566
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-1906
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277937
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31937
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594534
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-84090
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1605907
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-2972008
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1007917
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-79434730
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485727
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-70485577
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802681
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-4286104
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-1337614
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141726
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651336
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490470
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476808
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-146293
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-270438734
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2563266
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-956171
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-284833
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-22133
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-1568670702
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-30497668
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-30898
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14105
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362038
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-222174
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-1900
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7463
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-584231
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464507
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-25986
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-588605
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8158950
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1618940
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-762634
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-71631
What is the next term in 800, 7069, 23918, 56585, | {
"pile_set_name": "DM Mathematics"
} |
/9*l**3 + 5*l - 1/30*l**5 + 0 - 1/9*l**b + 0*l**2. Find y such that h(y) = 0.
-1, 0
Let f(n) = 2*n - 50. Let w be f(-11). Let o = 76 + w. Determine a so that 2*a**4 - 4*a**4 + 3*a**4 + o*a**3 - a**2 - a**5 - 3*a**5 = 0.
-1, 0, 1/4, 1
Let h(y) be the first derivative of y**4/60 + 2*y**3/15 + 2*y**2/5 - 79*y - 75. Let f(i) be the first derivative of h(i). What is a in f(a) = 0?
-2
Suppose 266 = 2*h - 9*h. Let d = -36 - h. Suppose -4*r**3 - 4*r**d - 383*r + 4*r**4 + 383*r + 4*r**5 = 0. What is r?
-1, 0, 1
Let l(p) = -5*p**3 - 164*p**2 - 780*p + 16. Let n(o) = o**2 - 4. Let v(t) = l(t) + 4*n(t). What is w in v(w) = 0?
-26, -6, 0
Let o = -1605953/15 - -107065. Find f such that o*f + 2/15*f**2 - 8/5 = 0.
-12, 1
Let y(t) be the second derivative of 0 + 105/16*t**2 + 29*t - 1/32*t**4 - 1/8*t**3. Factor y(f).
-3*(f - 5)*(f + 7)/8
Factor 1464/11*g - 2/11*g**2 + 2936/11.
-2*(g - 734)*(g + 2)/11
Suppose 27*g - 3*d = 26*g, 4*g = -21*d + 25*d + 8. Suppose 4*q + 2*n - 12 = 0, 0*n + 2*n + 4 = 4*q. Factor 180*w**g - 32 - 264*w**q + 464/3*w - 36*w**4.
-4*(w - 3)*(3*w - 2)**3/3
Let x = -373690 + 373692. Solve 16*t + 4/3*t**x + 44/3 = 0.
-11, -1
Let 1/6*u**4 - 21168*u + 251/3*u**3 + 10416*u**2 + 0 = 0. Calculate u.
-252, 0, 2
Let a(g) = -38*g**2 + 80*g + 658. Let r(n) = -9*n**2 + 20*n + 164. Let s be (-9)/6*(7 - 13). Let q(o) = s*r(o) - 2*a(o). Factor q(l).
-5*(l - 8)*(l + 4)
Let c(w) be the first derivative of -173/13*w**2 + 140/13*w - 10/39*w**3 - 25. Factor c(p).
-2*(p + 35)*(5*p - 2)/13
Let l(n) be the first derivative of -27*n**4/8 + 1014*n**3 + 4065*n**2/4 + 339*n - 386. Factor l(i).
-3*(i - 226)*(3*i + 1)**2/2
Suppose -26*z + 33*z = 21. Suppose z*t = 55*t - 156. Find r, given that 2/3*r**2 - 2/3 + 2/9*r**t - 2/9*r = 0.
-3, -1, 1
Let z(c) be the first derivative of c**4/3 + 40*c**3/9 + 32*c**2/3 - 188. Solve z(s) = 0.
-8, -2, 0
Let j(m) = -16*m**3 + 161*m**2 - 18*m + 83. Let b be j(10). Factor 0*q**2 - 12/7*q**b - 4/7*q**5 + 0*q + 0 + 16/7*q**4.
-4*q**3*(q - 3)*(q - 1)/7
Let c(q) be the third derivative of 0 + 10*q**4 - 1/84*q**8 - 11/30*q**6 + 24*q**3 + 18*q**2 + 0*q + 19/15*q**5 - 2/15*q**7. Let c(x) = 0. What is x?
-3, -2, -1, 2
Let o(w) be the second derivative of -35/2*w**2 - 4 + 71/6*w**3 - 1/6*w**4 - 6*w. Factor o(v).
-(v - 35)*(2*v - 1)
Let t(y) be the third derivative of y**7/210 - 49*y**6/60 + 863*y**5/20 - 2303*y**4/6 + 4418*y**3/3 + 2*y**2 - 523*y. Factor t(i).
(i - 47)**2*(i - 2)**2
Let z(a) be the third derivative of 23/80*a**6 + 1/20*a**7 - 10*a**2 - 9/10*a**5 + 0*a - 4*a**3 + 0 - 17/4*a**4. Let z(j) = 0. Calculate j.
-4, -1, -2/7, 2
Let f(c) be the third derivative of -176/3*c**4 - 512/3*c**3 - 3/10*c**6 + 3 - 7*c**5 + 0*c + 18*c**2. Factor f(v).
-4*(v + 1)*(3*v + 16)**2
Let w(y) be the second derivative of 5/21*y**3 - 1 + 3*y - 1/70*y**5 + 2/21*y**4 + 0*y**2. Factor w(v).
-2*v*(v - 5)*(v + 1)/7
Let c(i) be the first derivative of -20*i**3/3 - 64*i**2 + 84*i + 1543. Let c(d) = 0. Calculate d.
-7, 3/5
Let q = 8774 + -8774. Let v(d) be the third derivative of 5*d**2 + q - 1/7*d**4 + 0*d - 1/105*d**5 + 2/3*d**3. Factor v(f).
-4*(f - 1)*(f + 7)/7
Let n(v) be the first derivative of v**6/51 + 22*v**5/17 + 389*v**4/17 + 308*v**3/17 - 3483*v**2/17 + 4374*v/17 - 2410. What is c in n(c) = 0?
-27, -3, 1
Let q = 334 - 324. Let n(h) = -h**2 - h - 1. Let k(i) = -6*i**2 - 9*i - 8. Let c(f) = q*n(f) - 2*k(f). Solve c(b) = 0 for b.
-3, -1
Suppose 16*y - 12 = 10*y. Factor 20*p**y + 10*p + 19*p**2 - 62*p**2 + 25 + 24*p**2.
(p + 5)**2
Let u(q) be the second derivative of 0*q**2 + 1/48*q**4 - 5/6*q**3 - 1/120*q**5 + 1/720*q**6 - 13*q + 0. Let x(i) be the second derivative of u(i). Factor x(p).
(p - 1)**2/2
Suppose -80 + 26*v**5 + 15*v**5 + 104*v**2 + 83*v - 36*v**4 - 37*v**5 - 35*v - 52*v**3 + 12*v**2 = 0. What is v?
-2, -1, 1, 10
Suppose -658 = -23*b - 566. Let i(p) be the third derivative of 1/5*p**3 - 7/60*p**b + 0 + 0*p - 1/300*p**6 + 35*p**2 + 1/30*p**5. Solve i(d) = 0 for d.
1, 3
Suppose 0 = -2126*v + 2066*v. Factor v + 8/7*w - 2/7*w**4 - 2/7*w**3 + 8/7*w**2.
-2*w*(w - 2)*(w + 1)*(w + 2)/7
Factor 5*x**5 - 12*x**4 + 5*x**4 - 108*x - 216*x**2 + 4679*x**3 - 2*x**5 - 4784*x**3 + 13*x**4.
3*x*(x - 6)*(x + 1)**2*(x + 6)
What is i in -313 - 76*i**3 - 77*i**2 + 25*i**2 + 1177 + 8*i**4 + 358*i + 338*i = 0?
-2, -3/2, 4, 9
Suppose 5*b - 79 = 156. Let l = b - 44. Factor -63*m - 20 + 27*m**2 + 103*m + 14*m**2 - 25*m**l - 6*m**2.
-5*(m - 2)*(m + 1)*(5*m - 2)
Let b = -85 + 1228. Let o = -1143 + b. What is z in -3/5 + o*z + 3/5*z**2 = 0?
-1, 1
Let 25/3*w + 625/6 + 1/6*w**2 = 0. Calculate w.
-25
Let z be (-100 + -94 + 186)*3/(-12). Determine t so that 1/2*t**3 + 256 + 12*t**z + 96*t = 0.
-8
Let p(k) be the first derivative of -k**4/20 + 16*k**3/15 - 77*k**2/10 + 98*k/5 + 4557. Factor p(c).
-(c - 7)**2*(c - 2)/5
Let f(t) be the third derivative of -t**7/350 - 11*t**6/75 - 31*t**5/12 - 949*t**4/60 - 676*t**3/15 + 278*t**2 + 2. Suppose f(l) = 0. What is l?
-13, -2, -4/3
Let m be 5/4 - (191 - 192). Let z(f) be the second derivative of -3*f**2 + m*f**3 + 0 + 17*f + 5/16*f**4. What is x in z(x) = 0?
-4, 2/5
Let -27/4*l**4 + 1/4*l**5 - 169/2*l + 0 - 117/4*l**2 + 193/4*l**3 = 0. Calculate l.
-1, 0, 2, 13
Factor 23 - 1669*z - 3*z**2 + 181 + 1765*z.
-3*(z - 34)*(z + 2)
Let n(o) be the second derivative of -3/40*o**5 + 0 - 1/8*o**4 - 83*o - 9/4*o**2 + 5/4*o**3. Factor n(d).
-3*(d - 1)**2*(d + 3)/2
Suppose 5*i = -3*v + 2486 + 6615, -3*i + 5454 = 4*v. Factor 1771*q + 1 - i*q - 54*q**2 + 2.
-3*(q + 1)*(18*q - 1)
Suppose 0 = 5*q + 10, 2*h - 5*q + 33 = 55. Let g(f) = -7*f**3 + f**2 - 9*f. Let z(r) = 8*r**3 - 3*r**2 + 10*r. Let o(k) = h*g(k) + 5*z(k). Solve o(a) = 0.
-4, -1/2, 0
Find h such that 2*h**3 + 620/3*h**2 + 818/3*h + 68 = 0.
-102, -1, -1/3
Let h(z) be the third derivative of -5*z**3 + 5/24*z**4 - 24*z**2 + z + 0 + 1/12*z**5. Suppose h(j) = 0. What is j?
-3, 2
Let y(s) be the third derivative of 4*s**5/15 + 73*s**4/6 - 38*s**3 + 1217*s**2 - 1. Factor y(i).
4*(i + 19)*(4*i - 3)
Let x(c) be the first derivative of -c**4/30 - 6*c**3/5 + 6*c**2 - 1207. Factor x(v).
-2*v*(v - 3)*(v + 30)/15
Let t(v) be the first derivative of v**5/55 + 65*v**4/44 + 31*v**3 - 99*v**2/2 - 1028. Solve t(c) = 0.
-33, 0, 1
Suppose 13*i - 22*i + 21*i = 0. Let g(l) be the second derivative of i + 13*l + 6*l**2 + 0*l**3 - 1/4*l**4. Solve g(y) = 0.
-2, 2
Find b, given that 216*b - 9*b**2 - 576 + 120*b - 51*b**2 + 0*b**3 + 3*b**3 = 0.
4, 12
Let b(j) = 1693*j**2 - 988*j + 140. Let m(d) = -1690*d**2 + 987*d - 141. Let q(f) = -3*b(f) - 4*m(f). What is i in q(i) = 0?
12/41
What is q in 100*q + 5*q**2 - 87 + 217 + 50 + 0*q**2 = 0?
-18, -2
Let d = -65 + 57. Let p be (-10 + -1)/(d/24*3). Factor -8*m**2 - m**3 + 1 + 2*m**3 + p*m**2 + 0*m**3 + 3*m.
(m + 1)**3
Factor 65*t - 141 + 32*t - 20*t - 111 - 3*t**2 - 2*t.
-3*(t - 21)*(t - 4)
Let s(l) be the third derivative of 25/8*l**6 + l**2 - 17 - 23/6*l**5 + 5/3*l**4 + 0*l**3 + 0*l + 5/48*l**8 - 22/21*l**7. Find i, given that s(i) = 0.
0, 2/7, 1, 4
Let g(k) be the first derivative of 5*k**4/4 - 1295*k**3/3 + 3498. Suppose g(b) = 0. Calculate b.
0, 259
Let f be ((-15)/(-525)*-7)/(42/45 - 1). Let t(y) be the first derivative of 5*y + 41 + 5/3*y**f - 5*y**2. Factor t(l).
5*(l - 1)**2
Let j be ((-32)/(-320))/(78/8320). Find k, given that 8/3*k**5 - 16/3 - 40/3*k**3 - 4/3*k**4 + j*k + 20/3*k**2 = 0.
-2, -1, 1/2, 1, 2
Let f = -677247 - -677249. Find q such that 64/3*q - 2/3*q**4 + 26/3*q**3 + 64 - 100/3*q**f = 0.
-1, 4, 6
Let v be (-226)/(-1356)*(-1089)/(-12). Let x(z) be the second derivative of -3 + v*z**2 + 4*z + 1/48*z**4 - 11/12*z**3. Solve x(h) = 0 for h.
11
Let c = 42354 + -127057/3. Factor 1/3*g**3 + g + 1/3*g**4 - c*g**2 + 0.
g*(g - 1)**2*(g + 3)/3
Let q(j) be the first derivative of j**4/28 - 116*j**3/21 + 1682*j**2/7 - 2938. Factor q(z).
z*(z - 58)**2/7
Let z(d) = -317*d - 59. Let x be z(6). Let h = x - -1963. Factor 0*m**h - 14/9*m + 4/3 + 2/9*m**3.
2*(m - 2)*(m - 1)*(m + 3)/9
Let x be ((-56)/49)/(9/63)*2/(-24). Suppose 5*p - p + 2*f = 12, -5*p + 24 = -2*f. Solve 0*h**2 - 16/9*h + 20/9*h**3 - x - 4/9*h**5 + 2/3*h**p = 0 for h.
-1, -1/2, 1, 3
Let s(u) be the second derivative of u**6/16 + 11*u**5/40 - 21*u**4/32 + u**3/12 + 689*u - 1. Let s(w) = 0. What is w?
-4, 0, | {
"pile_set_name": "DM Mathematics"
} |
What is the units digit of g/c + (-4)/(-6)?
4
Let u = -3 + 2. Let k(p) be the second derivative of 4*p**4/3 + p**3/2 + p**2 - 25*p. What is the units digit of k(u)?
5
Suppose 5*s + 5*o + 430 = 0, -6*o + o + 266 = -3*s. Let d = s + 174. What is the tens digit of d?
8
Suppose -81 = -2*q - 4*x - x, -134 = -3*q + 5*x. Let p = q + 132. What is the tens digit of p?
7
Let l(x) = -x**3 + 10*x**2 - 9*x + 3. Let m(n) = n**2 + 2*n + 1. Let w be m(-4). Let t be l(w). What is the units digit of (t + 0)*48/9?
6
Suppose 3*v + 2*x = 7*x - 8, -2*v - 4*x + 24 = 0. Suppose 3*s - 757 = -v. What is the units digit of s?
1
Let z be 12/4 + (-7)/1. Let w be (1 - -6) + 4 + z. Suppose -w + 1 = -j. What is the units digit of j?
6
Let b(w) be the first derivative of -w**2/2 + w - 72. Suppose -2*o - 3*o - 20 = -3*v, 2*v + 20 = -5*o. What is the units digit of b(o)?
5
Suppose 2 = -p + 2*p. Suppose p*t + 15 = -11. What is the tens digit of (42/4)/(t/(-26))?
2
Let h be 6/(-51) + 1131/221. Suppose -a = h*p - 39, -p = 9*a - 5*a - 251. What is the tens digit of a?
6
Let h(j) = j**3 + 14*j**2 - 14*j + 19. Let k be h(-15). Suppose 0 = -5*r - k*r + 351. What is the tens digit of r?
3
Let s be 1*2/(8/1108). Suppose -403 = -5*q + s. Suppose 5*w - q - 13 = -2*b, w = 3*b + 23. What is the units digit of w?
9
Suppose 2*q + 2 = 0, -4*q = -4*o - q + 15. Suppose -3*z = -2*n - 63, 2*n - o*z = -4*z - 59. What is the units digit of ((-12)/n)/((-2)/(-10))?
2
Let h(c) = -2*c + 14. Let q be h(-8). Suppose -m + 3*i = -q, 48 = 3*m - m - 2*i. Suppose -4*x - m = -185. What is the units digit of x?
1
Let x(m) = -369*m**3 - 1 + 0 + 272*m**3. What is the tens digit of x(-1)?
9
Suppose 35 = 3*o - 40. Suppose -v + 2*v - 862 = -3*q, 5*v = -o. What is the units digit of q?
9
Let y(s) = s**3 - 8*s**2 + 9*s + 18. Let j be y(6). Suppose 5*m = -d + 1014, 0 = -j*m - m - d + 202. What is the hundreds digit of m?
2
Suppose -4*q = -2*g + 8, 2*g - 3*q + 33 = 7*g. Suppose g*u = -l + u + 70, -2*l + 149 = u. What is the tens digit of l?
7
Let o(h) = -h + 23. Let p be o(23). Suppose 0*m + m - 206 = p. What is the hundreds digit of m?
2
Let b(z) = -2 + 15*z + 8 - 1. What is the units digit of b(4)?
5
Let b(s) = 18*s + 2*s**2 - 24*s - 10*s**2 + 27 - 1 - s**3. What is the tens digit of b(-8)?
7
Let o = -29 + 2961. What is the tens digit of o?
3
Suppose -y = n - 11, -4*n + n = 4*y - 47. Suppose y + 2 = -2*z. Let l = 13 + z. What is the units digit of l?
5
Suppose -42 = -f + 44. Let c = f - 12. What is the units digit of c?
4
Suppose 18*m = 21530 + 17926. What is the tens digit of m?
9
Let w = 849 - 556. What is the hundreds digit of w?
2
Let n(r) = -r**2 + 3*r + 4. Let s be n(0). Let w(o) = 12*o - o**3 - s*o**2 + 6*o**2 + 0*o**3 + 6*o**2 - 10. What is the units digit of w(9)?
7
Let u = -196 - -399. What is the units digit of u?
3
Let b = -286 + 915. What is the units digit of b?
9
Let q = 1717 - 905. What is the hundreds digit of q?
8
Suppose 333 - 1037 = 2*b. Let c = b + 596. What is the tens digit of c?
4
Let h(k) = k**3 + 9*k**2 - 13*k - 25. Let z be h(-10). Suppose -72 = -r - z. What is the units digit of r?
7
What is the units digit of ((-7)/(-3) - 2)/(37/6327)?
7
Let o = 291 + 183. What is the tens digit of o?
7
Let b = 56 + -60. What is the units digit of (43 - 8/2) + b?
5
Let c = 417 - -94. What is the tens digit of c?
1
Let b(f) = 77*f**3 - 4*f**2 + 4*f. What is the tens digit of b(2)?
0
Let t(k) = 29*k**3 - 7*k**2 - 2*k + 16. What is the hundreds digit of t(5)?
4
What is the thousands digit of 3/1*8455/19?
1
Suppose -6*t - 2*m = -14236, -5*m = 24*t - 27*t + 7088. What is the thousands digit of t?
2
Suppose 0 = 58*t - 55*t - 1377. What is the tens digit of t?
5
Suppose 0*n = n - 4. Let j be 2 - -3*n/12. Suppose -1 = j*p - 2*p - 3*a, p - 13 = -4*a. What is the units digit of p?
5
What is the thousands digit of 368544/160 - (-9)/15?
2
Suppose 0 = 4*l + 3*k - 11, 2*l + 5 = -0*l - 5*k. Suppose -r - 2 = -l. Suppose m + 39 = r*h - 4, 0 = 4*h - 2*m - 60. What is the tens digit of h?
1
Let v(t) = -t**3 - 18*t**2 - 35*t + 7. What is the units digit of v(-19)?
3
Suppose 92 = -3*f - b, 5*f = -2*b + 6*b - 142. Let j = 34 + f. Suppose -j*i - 3*i = -511. What is the tens digit of i?
7
Let o = -76 + 166. What is the hundreds digit of (2 + (-106)/(-5))*o/18?
1
Let s(x) = 53*x**2 + 13*x + 32. What is the units digit of s(-5)?
2
Let b be (2 + 1)*-1 + (-652)/(-4). Suppose -3*x + 250 = 2*a, -x - x + 2*a + b = 0. What is the tens digit of x?
8
Let l = 76 + -72. Suppose l*w = -4*u + 640, -w = 4*u - 17 - 137. What is the units digit of w?
2
Let l = -1623 + 2812. What is the units digit of l?
9
Suppose 2*u = 6*u. Suppose 10*o - 12*o + 48 = u. What is the tens digit of o?
2
Let d = 74 + -29. Suppose -s + d + 56 = 0. What is the units digit of s?
1
Let j(s) = -2*s**3 - 4*s**2 - 4*s - 4. Let r be j(-4). Let v = 74 + r. Suppose -5*q + t - 49 = -299, 3*q - v = -3*t. What is the tens digit of q?
5
Let z be 0*(-1)/(-2) - 22. Let j be (z*1)/(-8 - -7). What is the units digit of j - ((-1)/(-1) + -1)?
2
Suppose -4*g = 4*x - 12, -g + 5*x + 2 + 1 = 0. Suppose 117 + 96 = g*d. What is the tens digit of d?
7
Let w(n) = -n**3 + n**2 + 6. Let q be w(0). Let r = -25 + 175. Suppose -q*v + r = -v. What is the tens digit of v?
3
Suppose -17*w + 25253 - 7828 = 0. What is the thousands digit of w?
1
Suppose -4*t + 43 = -3*d - 0*d, 67 = 4*t + 5*d. What is the tens digit of (t - 3)*131/5?
6
Let a = 16 + -5. Let g = a - 11. Suppose g*k - 4*k + 52 = 0. What is the units digit of k?
3
Let u(j) = 9*j**2 - 9*j - 10. Let b(z) = -4*z**2 + 5*z + 5. Let c(v) = 7*b(v) + 3*u(v). Let g = 143 - 136. What is the tens digit of c(g)?
1
Let s = -51 + 53. Suppose s*u - 590 = -3*i, 2*i + 5*u - 398 = 6*u. What is the tens digit of i?
9
What is the units digit of (-178)/(-8)*(-144)/(-18)?
8
Let l = 486 + 90. Suppose -l = -2*m - 38. What is the hundreds digit of m?
2
Let p(m) = -2*m**3 + 3*m**2 + 3*m + 1. Let h = -31 - -30. Let i be p(h). What is the tens digit of 1/i*(3 + 108)?
3
Suppose 4*y - 4774 = 3*t, -5*y + 3*t - 2*t + 5962 = 0. What is the thousands digit of y?
1
Let j(o) = -2*o**2 - 1. Let f be j(-1). What is the tens digit of (6/(-15))/(f/435)?
5
Suppose -11*h - 364 = -7*h. What is the units digit of (-156)/h*126/4?
4
Suppose a = -0*a + 6. Suppose 0 = a*i - 517 + 67. What is the units digit of i?
5
Let h(b) = 3*b + 3. Let o be h(-3). Let u = 8 + o. Suppose 0 = a - 0 - u. What is the units digit of a?
2
Suppose 3*n - 4 = -5*r, -4*n = -3*n - 4*r - 7. What is the units digit of n + (4 - -66) + -1?
2
Let a(v) = 215*v**2 - 7*v - 6. What is the hundreds digit of a(-1)?
2
Let w be (12/10)/(-3) + 187/55. Suppose 4*l - 399 = -9*p + 6*p, 0 = -p - w*l + 128. What is the hundreds digit of p?
1
Let d(u) = 651*u**3 + u**2 + u - 2. Let m be d(1). Suppose -3*v = 5*z + 36 - m, -5*v = 25. What is the units digit of z?
6
Let u(n) = 2*n**2 + 8*n - 14. What is the hundreds digit of u(13)?
4
Let p(y) = -5*y**3 + y**2 - 1. Let s be p(-1). Suppose 3*z = 4*v - 12, s*v - 21 = 5*z - 6. Suppose 8*x - 40 = v*x. What is the units digit of x?
8
Let s(a) = 2*a + 16. Let f be s(-8). Suppose f = 4*p + g - 4, g + 12 = -4*p + 4*g. Suppose 4*x + 20 = p, -4*t = -0*x + x - 167. What is the units digit of t?
3
Let z = 105 - 99. Let t(a) = 4*a - 1. Let s be t(1). Suppose -s*n = -6*n + z. What is the units digit of n?
2
Let x be (3 - -8) + (-1 - 0). Let t be (8/x)/((-34)/(-85)). What is the units digit of t/((8/(-116))/(-1))?
9
Let l(w) = w - 10. Let h be l(7). What is the tens digit of 3/(h*4/(-152)*2)?
1
Let b = 112 + -75. Let h = b - 27. Suppose -3 = -x + h. What is the units digit of x?
3
Let y(g) = g**3 + 7*g**2 + 4*g - 10. Let m be y(-6). Suppose 124 = m*b - 6. What is the tens digit of b?
6
Suppose -3*y + 2 = 2*u + 26, 5*y + 53 = u. What is the hundreds digit of (-6)/y - 637/(-5)?
1
Let w = 4347 - 951. What is the hundreds digit of w?
3
Suppose 0 = -6*u - 570. What is the tens digit of 4 + 0 + (1 - u)?
0
Let b = -16 - -21. Suppose b*m + 7 - 27 = 0. Suppose 0 = -k + 4*h - 2*h + 39, 0 = -m*k - 5*h + 117. What is the units digit of k?
3
Let x(h) = h**3 + 15*h**2 + 6*h - 7. Let v be x(-12). Suppose -5*m = u - v, m = -m + 2*u + 146. What is the units digit of m?
1
Let q = 982 - 588. What is the units digit | {
"pile_set_name": "DM Mathematics"
} |
5*w**2
Collect the terms in -849 + 520 - 1041 + 98 - 2*k.
-2*k - 1272
Collect the terms in 5*y + 25*y + 42*y**2 - 30*y.
42*y**2
Collect the terms in 285*s + 278*s - 1123*s - 84*s**3 + 277*s + 281*s.
-84*s**3 - 2*s
Collect the terms in -5220*o - 4215*o - 4678*o.
-14113*o
Collect the terms in -153 + 312 - k - 159 - 2*k.
-3*k
Collect the terms in -3689 - 10*l + 1843 + 1843.
-10*l - 3
Collect the terms in -467*f - 13*f**3 + 467*f + 196*f**3.
183*f**3
Collect the terms in -720*n**3 - 230*n**3 + 342*n**3 + 2*n.
-608*n**3 + 2*n
Collect the terms in -164 + 164 - 85089*v.
-85089*v
Collect the terms in -720 + 27*p**3 + 25*p**3 + 720 + 28*p**3 - 79*p**3.
p**3
Collect the terms in 31*j**2 - 36*j**2 + 9*j**2 + 26*j**2.
30*j**2
Collect the terms in -2*a - 5134*a**2 - 1 + 2534*a**2 - 3362*a**2 - 5389*a**2.
-11351*a**2 - 2*a - 1
Collect the terms in 71838*b - 143642*b + 71817*b.
13*b
Collect the terms in -146*x**3 - 5865*x**2 + 5865*x**2.
-146*x**3
Collect the terms in -1292*s + 3106*s + 4 - 1815*s.
-s + 4
Collect the terms in -167 + 85 + 82 - 39*j.
-39*j
Collect the terms in 3*l - 6*l - 698*l**3 + 3*l + 387*l**3.
-311*l**3
Collect the terms in 782*w**2 + 787*w**2 - 12 + 791*w**2 - 2357*w**2.
3*w**2 - 12
Collect the terms in g - 7758*g**2 - 5*g + 2*g + g - g**3.
-g**3 - 7758*g**2 - g
Collect the terms in 4*j - 138 - 4*j - 170058*j**2 + 170057*j**2.
-j**2 - 138
Collect the terms in 104411*j**2 + 104442*j**2 + 2*j - 208819*j**2.
34*j**2 + 2*j
Collect the terms in z**3 + 83*z - 244*z + 79*z + 82*z.
z**3
Collect the terms in -11821*f + 0 + 0 + 11821*f - 17*f**2.
-17*f**2
Collect the terms in 3 + 172047804*l - 3 - 3*l**2 - 172047804*l.
-3*l**2
Collect the terms in 942 - 942 - 5*v.
-5*v
Collect the terms in -12 + 12 - 67461634*o + 67461633*o.
-o
Collect the terms in -30*r**3 + 2486*r**2 - 4979*r**2 + 2493*r**2.
-30*r**3
Collect the terms in -4*s + 4*s + 9758*s**2 - 9669*s**2.
89*s**2
Collect the terms in -2258*o + 750*o + 759*o + 759*o.
10*o
Collect the terms in 41 + 44 - 276*i - 85.
-276*i
Collect the terms in 0 + 269*g**2 - 270*g**2 - 9*g**3 + 0.
-9*g**3 - g**2
Collect the terms in 3137*t**3 - 1042*t**3 - 1021*t**3 - 1044*t**3.
30*t**3
Collect the terms in -122*d + 62*d + 58*d + 16 + 2.
-2*d + 18
Collect the terms in -48 + 6*t - 8*t + t.
-t - 48
Collect the terms in 102*x**3 - 316*x**3 + 100*x**3 + 115*x**3.
x**3
Collect the terms in 320 + 17*x - 30*x + 35*x**2 - 37*x**2 + 14*x.
-2*x**2 + x + 320
Collect the terms in 111*y + 38*y - 40*y + 60*y.
169*y
Collect the terms in 12*m - 20*m + 8*m - 17814*m**2.
-17814*m**2
Collect the terms in 763 + 12*b - 387 - 376.
12*b
Collect the terms in 5*r - 816*r**2 + 845*r**2 - 5*r.
29*r**2
Collect the terms in 3*r**2 + 2066 + 1970 - 4036.
3*r**2
Collect the terms in 1774*b - 6 - 1775*b + 6.
-b
Collect the terms in 19370835*o**2 - 2*o - 19370822*o**2 + 2*o.
13*o**2
Collect the terms in -1572*t - 1582*t + 3167*t + 0 + 0.
13*t
Collect the terms in -43*p + 5725*p**2 + 84*p - 41*p.
5725*p**2
Collect the terms in 1245*l**3 - 671*l**3 - 575*l**3.
-l**3
Collect the terms in 70930*x + 70936*x + 7*x**2 - 141866*x.
7*x**2
Collect the terms in -3*a - 58 + 3*a - 5*a.
-5*a - 58
Collect the terms in 3*a**2 - 3*a**2 + 50*a**3 + 43*a**3.
93*a**3
Collect the terms in -48*f**2 + 18*f**2 + 303*f**2.
273*f**2
Collect the terms in 15 - 2 - 6 - 21*u - 7.
-21*u
Collect the terms in 2 - 360*m**2 + 3 + 144*m**2 - 3 + 154*m**2.
-62*m**2 + 2
Collect the terms in 4*y + 3*y - 73*y**2 + 7 - 7*y.
-73*y**2 + 7
Collect the terms in 102*y + 66*y + 100*y - 16*y.
252*y
Collect the terms in -30789670 - 10*h + 30789670.
-10*h
Collect the terms in -35*u**3 - 22*u**3 + 160*u**3 - 39*u**3 - 19*u**3.
45*u**3
Collect the terms in 2663*f + 66*f**2 - 1323*f - 1340*f.
66*f**2
Collect the terms in 75*a - 75*a - 1643*a**2.
-1643*a**2
Collect the terms in -893 - 552*q - 873 + 1766.
-552*q
Collect the terms in -14482*b - 3*b**2 + 14482*b.
-3*b**2
Collect the terms in 949267*i**3 - 2847821*i**3 + 949272*i**3 + 949278*i**3.
-4*i**3
Collect the terms in -1286*s + 2059*s - 768*s.
5*s
Collect the terms in -213*x**2 - 250*x**2 + 672*x**2 - 211*x**2.
-2*x**2
Collect the terms in 10390*r - 21985*r + 11594*r.
-r
Collect the terms in 25*b + 131*b - 10*b.
146*b
Collect the terms in 4778*t - 2401*t - 2377*t + 59*t**3.
59*t**3
Collect the terms in -26*p**2 - 22*p + 40*p - 18*p.
-26*p**2
Collect the terms in 26*v**2 - 1 + 0 + 1 + 134*v**2.
160*v**2
Collect the terms in 27*s - 23*s + 185 - 8*s.
-4*s + 185
Collect the terms in 356917 + 2*j - 713844 + 356927.
2*j
Collect the terms in -155*c - 145*c + 450*c - 154*c.
-4*c
Collect the terms in 18*t**2 - 709 + 3*t - 21*t**2 - 2*t + 6*t.
-3*t**2 + 7*t - 709
Collect the terms in -5*v - 3*v - v + 785.
-9*v + 785
Collect the terms in 0*k - 16*k - 437 + 3*k + 438.
-13*k + 1
Collect the terms in 4*x - 4*x - 23657925 + 16*x**3 + 23657925.
16*x**3
Collect the terms in -47*j + 23*j**3 + 21*j + 20*j - 3*j**3 + 8*j.
20*j**3 + 2*j
Collect the terms in -55605*w - 55595*w + 166790*w - 55594*w.
-4*w
Collect the terms in -i - 135*i + 149*i.
13*i
Collect the terms in -273*s - 260*s + 507*s - 1.
-26*s - 1
Collect the terms in -1423*l - 1133*l + 4 - 4.
-2556*l
Collect the terms in -28345*p - 117*p**2 + 28345*p.
-117*p**2
Collect the terms in -224 + 6*t**2 + 99 - 10*t**2 + 65.
-4*t**2 - 60
Collect the terms in 273*s**2 - 582*s**2 + 291*s**2.
-18*s**2
Collect the terms in 3065*c - 8*c**3 - 3065*c + 16 - 16.
-8*c**3
Collect the terms in 169*g - 32*g + 116*g.
253*g
Collect the terms in -2 + 66212*h**3 + 2 - 66233*h**3.
-21*h**3
Collect the terms in -3 + d**2 - 3*d**2 + 4 - 7 - 1.
-2*d**2 - 7
Collect the terms in -6*q**2 + 43*q**2 + 256*q**2.
293*q**2
Collect the terms in 36*y + 0*y - 88*y - 13*y**2 + 2.
-13*y**2 - 52*y + 2
Collect the terms in -10*k + 550 - 291 + 12*k - 295.
2*k - 36
Collect the terms in 49*m**3 - 48*m**3 + 24 - 195*m - 30.
m**3 - 195*m - 6
Collect the terms in -4*f + 2 - 7 - 4*f - 14*f + 20*f.
-2*f - 5
Collect the terms in -2563*t + 2*t**2 - 3*t**2 + 7393*t.
-t**2 + 4830*t
Collect the terms in 7*o + 482*o**2 - 62440 + 62440 - 7*o.
482*o**2
Collect the terms in -69054967*a + 26*a**3 + 69054967*a - 29*a**3.
-3*a**3
Collect the terms in 171*r**2 + 186*r**2 + 183*r**2 - 543*r**2.
-3*r**2
Collect the terms in -51*k - 98*k - 285*k - 34*k.
-468*k
Collect the terms in 42*n**3 - 10000 + 10000 + 16*n**2 - 19*n**2 + 6*n**3.
48*n**3 - 3*n**2
Collect the terms in -23*a**3 - 23549*a**2 + 23549*a**2.
-23*a**3
Collect the terms in -22321 + 0*m - m**2 + 2*m - 4*m.
-m**2 - 2*m - 22321
Collect the terms in 10914916 + 7*l**2 - 10914916 - 5*l**2.
2*l**2
Collect the terms in 3393971 - 3393971 + 156*n.
156*n
Collect the terms in -91 + 127 - 35 - 3*d**3.
-3*d**3 + 1
Collect the terms in 6*w - w - 5*w - 278*w**3 + 151*w**3 + 4.
-127*w**3 + 4
Collect the terms in -3284 + q**3 - 3274 + 5*q**3 - 3276 + 9834.
6*q**3
Collect the terms in 0*h**3 - 1 - 706721*h + 706721*h + 2*h**3.
2*h**3 - 1
Collect the terms in -96 - 96 - 8684*n - 96 + 288.
-8684*n
Collect the terms in -142519*l**3 - 152*l + 152*l + 142527*l**3.
8*l**3
Collect the terms in -77*c**2 - 32*c**2 + 3 - 6 + 3.
-109*c**2
Collect the terms in -13*g - 8184 + 34*g**2 + 8184 + 13*g.
34*g**2
Collect the terms in -344*u**2 - 303012 + 303012.
-344*u**2
Collect the terms in -140*u**3 + 1045*u**3 + 991*u**3 - 275*u**3.
1621*u**3
Collect the terms in -643 + 643 + 262*v**3.
262*v**3
Collect the terms in 7*v + 157*v**3 + 58*v**3 + 641*v**3 + 6*v.
856*v**3 + 13*v
Collect the terms in 10678 - 21414 - 44*q**2 + 10736.
-44*q**2
Collect the terms in -203*g - 128*g + 530*g - 201*g.
-2*g
Collect the terms in 4*i + 19 + 5*i - 87 - 11*i.
-2*i - 68
Collect the terms in -298 - 5*p + 298 - 5*p.
-10*p
Collect the terms in 5*n - 4060 + 3*n + n - 3*n - 4*n.
2*n - 4060
Collect the terms in -59*t**2 + 149*t**2 - 89*t**2.
t**2
Collect the terms in -28528*x + 14286*x + 14296*x + 2.
54*x + 2
Collect the terms in 174*k**3 + 3*k - 176*k**3 + 2*k.
-2*k**3 + 5*k
Collect the terms in -3*c + 13*c**2 + 27*c**2 - 37*c**2.
3*c**2 - 3*c
Collect the terms in 342*x + 353*x + 348*x - 1039*x.
4*x
Collect the terms in 5*u**3 + u**2 - 7 + 1 + 6.
5*u**3 + u**2
Collect the terms in 184*y - 20*y + 859*y.
1023*y
Collect the terms in -99 - 6*c**3 - 101 + 200.
-6*c**3
Col | {
"pile_set_name": "DM Mathematics"
} |
) 690/7 (c) -0.5
c
Which is the nearest to -0.16? (a) 2 (b) 2/5 (c) 0.1 (d) -0.3
d
Which is the closest to -0.1? (a) -2 (b) -127 (c) 3/4
c
Which is the closest to -1? (a) -5/2 (b) -2 (c) 1/10 (d) 5
b
Which is the closest to -4? (a) -1/4 (b) -0.38 (c) 2
b
What is the closest to -1/3 in -18/13, 1/3, -0.1, 3/2?
-0.1
Which is the nearest to 0.275? (a) -0.3 (b) 2/5 (c) -3/4 (d) 1
b
What is the nearest to 0.1 in -9/2, 7, 5?
-9/2
What is the nearest to -8 in 3/4, 31, 2, 0?
0
What is the nearest to -26 in 4, -0.4, 0.3, -2/31?
-0.4
Which is the closest to -17? (a) -0.4 (b) -1 (c) 8/193
b
What is the closest to -2/7 in 0.3, 3/7, -0.5?
-0.5
What is the nearest to -2/3 in 0.5, -5, -6?
0.5
What is the nearest to 0.2 in 2/31, 0.1, 0.5?
0.1
What is the nearest to -39 in -1/2, -3, -1/4?
-3
What is the nearest to -2/17 in -7, 3, -4?
3
What is the nearest to -4 in -1, -5, -35, 0.2?
-5
What is the nearest to -1 in -3, -2, 10.6?
-2
What is the nearest to -1 in 0.277, -0.1, -3, 0.7?
-0.1
What is the closest to 1 in 0.4, -6.2, -4.4, 1?
1
What is the nearest to 1 in 1/3, 0, -43?
1/3
Which is the closest to -2/7? (a) 2 (b) 3 (c) 2/7
c
Which is the closest to 2/7? (a) 2/15 (b) 0.2 (c) -2
b
What is the nearest to -0.1 in -96, -0.5, -4/7, 5?
-0.5
Which is the nearest to 29? (a) 5 (b) -1 (c) -0.5
a
What is the nearest to -2/119 in -1/4, -1/11, 0, 1/4?
0
What is the nearest to 0 in 2/13, 4/7, 2/205, 1?
2/205
What is the nearest to 1/4 in -0.4, -2, 0.2, 1/11?
0.2
Which is the closest to 0.1? (a) 2 (b) 5 (c) -2/11 (d) 6
c
What is the nearest to 26.5 in 3, 3/8, -2?
3
What is the closest to -1/4 in -0.01, 0.1, -31?
-0.01
Which is the closest to -2/7? (a) -670/9 (b) 0.1 (c) -2
b
Which is the nearest to -2.4? (a) 7 (b) 1/5 (c) -1/3
c
What is the nearest to -3/8 in -0.2, 4/7, -7, 3?
-0.2
What is the closest to -2/5 in -0.5, 5, 315?
-0.5
What is the closest to 1 in 6/5, -3, -2/3, -2?
6/5
What is the nearest to -0.2 in -1.67, 1, 0.2?
0.2
Which is the closest to -0.9? (a) 0.5 (b) -2/3 (c) 21
b
Which is the closest to 3? (a) -0.6 (b) 3 (c) -12 (d) 3/4
b
Which is the closest to -2? (a) 15 (b) -2 (c) -0.4 (d) -1/2
b
Which is the nearest to 1? (a) 6 (b) 1/27 (c) -1.1 (d) -1/3
b
Which is the nearest to -1? (a) -10 (b) -1 (c) -5 (d) -0.3
b
Which is the nearest to 6/7? (a) -344 (b) -0.4 (c) -2/3
b
What is the closest to -5 in 3, -1/3, -3?
-3
Which is the closest to 1/4? (a) -69 (b) 4 (c) 1/8
c
What is the closest to 4/5 in -1/2, -2/7, 4?
-2/7
Which is the closest to -0.04? (a) 0 (b) 0.1 (c) 9/2 (d) -1/5
a
Which is the nearest to 0? (a) 61 (b) 0.3 (c) 2/5
b
What is the nearest to 0.2 in 4, -0.2, 32?
-0.2
What is the closest to 0 in -1, 0.13, -1/7, 5?
0.13
Which is the nearest to -0.3? (a) -4 (b) 5/2 (c) -5
b
Which is the nearest to 2/5? (a) 6 (b) 74.1 (c) 0.5
c
What is the nearest to 0 in -4, 2/7, 1?
2/7
Which is the nearest to -0.2? (a) 1 (b) 0 (c) -14
b
Which is the nearest to -1? (a) 0.2 (b) 159 (c) 0.3
a
Which is the nearest to -25? (a) 5 (b) 3 (c) 1/2
c
Which is the nearest to 2/5? (a) -2/27 (b) 2/7 (c) 15.5
b
Which is the closest to -0.2? (a) -0.3 (b) -0.8 (c) 3/5 (d) 2
a
Which is the nearest to 0.1? (a) 10 (b) -1 (c) -5
b
Which is the closest to 9? (a) 0.1 (b) 0.3 (c) -1
b
Which is the closest to 4/5? (a) -2/11 (b) 5 (c) -3
a
What is the closest to 204 in 0.1, -0.3, 1/6, -0.5?
1/6
What is the nearest to -21.3 in 0.2, -0.5, 2/17?
-0.5
What is the closest to -1/2 in -72, 0.1, 1/2?
0.1
What is the closest to 0 in 1.6, -0.3, -0.4, -3?
-0.3
Which is the closest to 1/8? (a) -2/15 (b) -0.07 (c) 0.2
c
Which is the closest to 2.7? (a) 0 (b) 3/7 (c) -2/77
b
Which is the closest to 1? (a) -5/4 (b) -1 (c) -21 (d) -0.04
d
Which is the nearest to -2/5? (a) 0.4 (b) -0.1 (c) -0.02
b
Which is the closest to 745? (a) -0.1 (b) 1 (c) -3
b
Which is the closest to 0? (a) -24 (b) 2/5 (c) 0.5
b
What is the nearest to 0.1 in 8/5, -0.2, 0.057?
0.057
Which is the closest to -3/5? (a) 2/21 (b) 0.1 (c) 1/9 (d) 5
a
What is the nearest to -1/1044 in -2/9, -0.2, -0.1, -4?
-0.1
What is the closest to 0.1 in -24, 1/6, 0?
1/6
Which is the closest to 0? (a) 93/7 (b) -1/3 (c) 6/5 (d) 0
d
What is the closest to -0.104 in 1, 5, -2/7, -4?
-2/7
What is the closest to 2/5 in 2/15, 3, 0?
2/15
Which is the nearest to 3? (a) -4 (b) -2/27 (c) 0
c
What is the nearest to 3 in 60, 0, -1/2, 2/3?
2/3
What is the nearest to -1 in -465, 0, 2/7?
0
Which is the nearest to -1? (a) 0.4 (b) -0.3 (c) 26 (d) -18
b
Which is the closest to 2? (a) 0.07 (b) -1/4 (c) 0.1 (d) 1/4
d
What is the nearest to -20 in -5, 1/7, 4, 0.4?
-5
What is the closest to 12 in -5, 0.1, 0, -2/15?
0.1
What is the closest to 1.5 in -1, 0, -5, -2/5?
0
Which is the closest to 1? (a) -16 (b) 0 (c) 3
b
Which is the nearest to 1.4? (a) 2/3 (b) 0 (c) -3 (d) -1/6
a
Which is the nearest to 15? (a) -5 (b) -1/3 (c) 1/2
c
Which is the nearest to 8? (a) 4 (b) 3/7 (c) 26 (d) -0.5
a
Which is the nearest to -1? (a) 0.4 (b) 0.3 (c) 1.4 (d) -0.1
d
What is the closest to -1/9 in -3/5, 0.8, -0.1, 4?
-0.1
Which is the nearest to -1? (a) 30 (b) -1 (c) 3 (d) 19
b
What is the nearest to 2/3 in -2/11, -3, 0.3?
0.3
Which is the closest to -0.05? (a) 0 (b) 0.2 (c) -2/11 (d) 5/8
a
Which is the closest to -0.3? (a) -2/3 (b) -1/3 (c) 2 (d) -0.3
d
Which is the nearest to 3? (a) -0.08 (b) 0.2 (c) 0.6 (d) -5
c
Which is the nearest to -1/2? (a) -2 (b) -3/4 (c) -1/7 (d) -0.01
b
Which is the closest to -1.8? (a) 3 (b) 5 (c) -2
c
What is the nearest to 0.1 in 0.3, -3/16, -1?
0.3
What is the closest to 2 in -0.6, -0.594, -4/3?
-0.594
What is the closest to -1 in -4/5, -4/3, 89/5, 5?
-4/5
Which is the closest to 0.2? (a) 0.3 (b) 0 (c) -0.6 (d) -2/11
a
What is the closest to -1/2 in 3, -16, -8?
3
What is the nearest to 84 in -0.3, -0.5, -2, -35?
-0.3
Which is the closest to 5/3? (a) 5 (b) 21 (c) 2/7
c
Which is the nearest to 7/5? (a) -5 (b) -0.2 (c) 1
c
What is the closest to 1 in -5, -2/25, 0.1, 5?
0.1
Which is the closest to 0.1? (a) -0.1 (b) -12 (c) 2 (d) -34
a
What is the closest to -1 in 1/6, -3/5, 2/13, -1/7?
-3/5
What is the nearest to 0 in 0, 2/17, 0.011, -3?
0
What is the closest to -0.1 in 0.1, 2, -4, 1?
0.1
What is the closest to -0.1 in 30, -0.3, -3?
-0.3
What is the nearest to 1/4 in -3, 0.3, 5, 2?
0.3
What is the closest to 1/2 in 2, 18, -3, 8/25?
8/25
What is the nearest to -28 in -5, 2/9, 0.5, -2/3?
-5
What is the closest to 0.1 in 2.8, -2/25, -4/5, 5/4?
-2/25
Which is the closest to -1/3? (a) -1 (b) 10/9 (c) -12
a
Which is the nearest to 0? (a) -3 (b) -2/3 (c) 15
b
What is the closest to 34 in 3, 0, 1.6?
3
What is the nearest to 0.1 in 0.3, -11, 3?
0.3
What is the closest to 2 in 3/4, -0.23, 0, -0.4?
3/4
What is the nearest to 1 in 5, -50, 2/5, -5?
2/5
What is the closest to -0.09 in 0.1, 5, -3?
0.1
Which is the nearest to 11? (a) -0.3 (b) 0.2 (c) 1/6
b
Which is the closest to 1.4? (a) -2 (b) -5 (c) -1/3
c
What is the closest to -5/8 in 0.3, 1, -5, 1/2?
0.3
What is the closest to -2/5 in 0.02, 1/3, -2/17, -0.09?
-2/17
Which is the closest to 2/9? (a) 146 (b) 3/7 (c) -1
b
Which is the nearest to 0.2? (a) 1/7 (b) 2/15 (c) 0.4 (d) -0.1
a
What is the closest to 4 in 0, -3, -2/7, -2?
0
What is the nearest to 0 in -116, -0.3, -2/5, -3?
-0.3
Which is the closest to 0.091? (a) 4/7 (b) 4 (c) -0.4 (d) -0.2
d
Which is the nearest to -1? (a) 2/11 (b) 1 (c) 2/3 (d) 109
a
What is the nearest to -0.1 in 2/5, 37, -1, -4?
2/5
What is the nearest to 1/3 in 0.8, 0.3, 4, -1/52?
0.3
Which is the closest to -1? (a) -0.1 (b) 2/3 (c) -47 (d) -1
d
Which is the nearest to 1/4? (a) 10 (b) 2/5 (c) 13/3
b
Which is the nearest to -3/10? (a) -1/4 (b) 0 (c) 1
a
What is the closest to 3 in -4/3, -1.08, 0.2?
0.2
Which is the closest to -1/6? (a) -0.2 (b) -4 (c) 4 (d) 2/7
a
What is the nearest to 4 in -1/2, 4, -1, -3?
4
Which is the closest to 3.8? (a) -0.3 (b) -4 (c) -60
a
What is the closest to 1 in 1, -0.4, 213, 2?
1
What is the closest to 2/5 in 14/11, -4, -0.4?
-0.4
Which is the closest to -1/2? (a) 0 (b) 0.1 (c) -4/3
a
Which is the nearest to -3? (a) -2 (b) -1 (c) -0.1
a | {
"pile_set_name": "DM Mathematics"
} |
d thousand?
-5500000
Let a = -15 + 16.6. Let m = 0.4 + a. Let g = -2.006 + m. Round g to two decimal places.
-0.01
Let h = -8 - 3. Let l = -26.8 - h. Let q = -15.799913 - l. Round q to 5 dps.
0.00009
Let s = -112 + 111.953. Round s to 3 dps.
-0.047
Suppose 0 = -5*d + 5*c - 1065533 - 29452, 3*d - 2*c + 656994 = 0. Round d to the nearest one hundred thousand.
-200000
Suppose -2*m + 3*p + 86009 = 0, m - 4*p - 43015 = p. Round m to the nearest 10000.
40000
Let i = 72.3 + -72.673. Let w = -0.35 - i. Let d = -0.0229957 + w. Round d to six dps.
0.000004
Suppose 0 = -b - 0*q - 5*q - 510015, 2*b = 2*q - 1019994. Round b to the nearest one hundred thousand.
-500000
Let l be 26957/14*-94 + (-4 - -1). What is l rounded to the nearest one hundred thousand?
-200000
Let g = 34 + -37.1. What is g rounded to the nearest integer?
-3
Suppose 9*a + 8500000 = 8*a. What is a rounded to the nearest one million?
-9000000
Let b(k) = -81*k - 16. Let h be b(3). Round h to the nearest 100.
-300
Let i = -6 - -6.0000065. Round i to six decimal places.
0.000007
Suppose j - 18921552 = -5421558. Suppose -5*u - 3*i = j, 5*i - 3604360 = -3*u - 11704350. What is u rounded to the nearest 1000000?
-3000000
Let z = -2.2 + 11.2. Let d = -8.99999985 + z. What is d rounded to seven dps?
0.0000002
Let z = 0.4 - 0.415. Let a = 0.21 + -0.2. Let u = z + a. What is u rounded to two decimal places?
-0.01
Suppose 0*q - 1530000 = -9*q. Round q to the nearest ten thousand.
170000
Let q(t) = 3*t + t + t**2 + 6 - 3. Let g be q(-4). Suppose -5*i - v = -g*v + 3244, 2597 = -4*i + v. Round i to the nearest one hundred.
-700
Let r = 0.04 - -1.56. Let s = r + -1.599987. Round s to 5 dps.
0.00001
Let m = 307 - 306.831. Round m to 1 decimal place.
0.2
Let y = 7 + -6.6. Let t = y + -0.17. What is t rounded to 1 dp?
0.2
Let m = 16.026 + -16. Let p = m + -0.02600145. Round p to 7 decimal places.
-0.0000015
Suppose -t + 26499995 = c, 3*c = -t + 52682888 + 26817107. What is c rounded to the nearest 1000000?
27000000
Suppose 5*d = 5*r + 24930, -2*d - 4*r + 1375 = -8621. Suppose 2*f + d = -5*j - 0*j, 4*j + 5*f + 3975 = 0. What is j rounded to the nearest one thousand?
-1000
Let o = 101.9874 + -102. Round o to three decimal places.
-0.013
Let h = -272 + 159. Let s = h + 119.7. What is s rounded to the nearest integer?
7
Let w be (0 - 2)/(3 + -2). Let v(g) = -2 + g**2 - 2*g**2 - g + 2*g**2 + 0. Let b be v(w). What is b rounded to the nearest 10?
0
Let j = 262 - 262.0000628. Round j to 5 decimal places.
-0.00006
Let m = -8 - -19. Let i(v) = -v**3 - 15*v**2 + 12*v + 14. Let d be i(m). Round d to the nearest ten thousand.
0
Suppose 6*d - 6900 = 7*d. Round d to the nearest 1000.
-7000
Let h = -2 - -0.5. Let t = -2.8 - h. Let u = -1.06 - t. What is u rounded to one decimal place?
0.2
Let x = -210.99999889 + 211. What is x rounded to 7 decimal places?
0.0000011
Let n = -1778441537.66 - 36950452.34. Let z = 1815391876.99999898 + n. Let l = -113 - z. Round l to seven dps.
0.000001
Let m = -0.94 + 1.72. What is m rounded to one decimal place?
0.8
Let u = 10 + -9.97. Let d = u - 0.45. What is d rounded to 1 decimal place?
-0.4
Let z(h) be the first derivative of 13*h**2 - 2*h + 1. Let r be z(2). Let v be (-74)/(-8)*r*8. Round v to the nearest 1000.
4000
Let u be -177200*((-2)/8 - 110/(-40)). What is u rounded to the nearest ten thousand?
-440000
Suppose 0 = -4*k - h + 2, 4*k - 2*h = 8. Let z be (0 - -20)*(321 - k). What is z rounded to the nearest one thousand?
6000
Let x = -43 - -43.19. Let u = x + 0.17. Round u to one dp.
0.4
Let y = 208 + -207.9999814. Round y to six decimal places.
0.000019
Let c = -57.99999995 - -58. Round c to 7 dps.
0.0000001
Let o = -24.04 - -0.04. Let f = o + 24.56. Round f to 1 dp.
0.6
Let s = -1.5 + 1.500036. What is s rounded to five decimal places?
0.00004
Let x = -6.1 + 6. Let p = 1.1 + x. Let o = 0.9988 - p. What is o rounded to three decimal places?
-0.001
Let l = 4317.65 + -4318.449999. Let p = 0.8 + l. Round p to six dps.
0.000001
Let r = -0.257 + -5.073. What is r rounded to 0 dps?
-5
Let u = 0.240026 + -0.24. What is u rounded to 5 decimal places?
0.00003
Let d = 0.105 - 61.105. Let f = -61.00000027 - d. What is f rounded to 7 dps?
-0.0000003
Let x = 0.0296 - 2.2396. Round x to 1 dp.
-2.2
Let l(h) be the first derivative of -56*h**2 - 10*h - 8. Let g be l(-10). Round g to the nearest 100.
1100
Suppose 127952 = -8*d - 32048. Round d to the nearest 10000.
-20000
Let o = -3987.8 + 3987.8136994. Let s = o - 0.3895464. Let p = 0.376 + s. Round p to five decimal places.
0.00015
Let w = 1057.478 - 1071.5. Let b = w - -14. Round b to 2 decimal places.
-0.02
Let u be 2/(-3) - 239990/(-3). Suppose y - 4*k - 20008 = 0, -5*y - 2*k = -y - u. What is y rounded to the nearest 10000?
20000
Suppose 3*r + 744624 - 14445 = -a, -3*a + 3*r = 2190573. Let u = -1430188 - a. What is u rounded to the nearest one million?
-1000000
Let q = 130 - 82. Let p = q + -54.9. Round p to 0 decimal places.
-7
Suppose -3*h - 2000000 = -5*h. What is h rounded to the nearest one million?
1000000
Let q = 96.999957 - 97. Round q to five decimal places.
-0.00004
Suppose -3*v + 2*v = 4*t - 8, 5*t + v - 10 = 0. Suppose -t*x + 19890 = 208. Let h = x + -6541. What is h rounded to the nearest one thousand?
3000
Let a(j) = -j**2 - 2*j + 1. Let z be a(-2). Let t be 268 - (-1)/(z/2). Round t to the nearest one hundred.
300
Let a = -95 + -55.1. Let z = a + 143. What is z rounded to 0 dps?
-7
Let h be -2*1 + 98*-9041. Let q = h + 456020. What is q rounded to the nearest 100000?
-400000
Suppose -2*k + 16399995 = -5*c, 0 = -2*k - 4*c + 14386894 + 2013110. What is k rounded to the nearest one million?
8000000
Let n = -0.01 - -0.00976. Round n to four decimal places.
-0.0002
Let r be 34654/4 - (-3)/6. Let z = r + -14664. What is z rounded to the nearest one thousand?
-6000
Let r = 19 + -18.6. Let l = r - 0.39985. Round l to 4 decimal places.
0.0002
Let l(h) = h**3 - 11*h**2. Let f be l(11). Suppose f = -9*q + 4*q - 34000000. What is q rounded to the nearest one million?
-7000000
Let y be -5*(-150)/(-7)*64400. Round y to the nearest one million.
-7000000
Suppose 0 = 5*l - 117097090 - 45075455. Let v = l + -18956238. Let m = v - 19278271. Round m to the nearest 1000000.
-6000000
Suppose 2*y = y + 8187. Let t = 9095 - 14082. Let v = t + y. Round v to the nearest one thousand.
3000
Let z = 248271282817.99991 + -248268161567. Let p = -3121228 + z. Let y = p + -23. What is y rounded to 4 dps?
-0.0001
Let u = -0.21642433 - 0.78357397. Let n = -4 + 5. Let r = n + u. What is r rounded to six dps?
0.000002
Let x = -1.1 + 0.5. Let h = 0.77 + x. Let r = -0.17076 + h. What is r rounded to four decimal places?
-0.0008
Let d = -152.99 - 2.01. Let x = d + 1. Let j = x + 154.00000077. What is j rounded to 7 dps?
0.0000008
Let s = 4.3 - 84.3. Let k = -79.61 - s. Round k to 1 decimal place.
0.4
Let k(n) = 105*n**2 - 7*n + 6. Suppose 0*l - 35 = 5*l. Let y be k(l). Round y to the nearest 1000.
5000
Let l = 67.952 + -68. Round l to two decimal places.
-0.05
Let d = -77353846 - -45253846. Round d to the nearest 1000000.
-32000000
Suppose -t + 402 = 3*h - 3078, -1167 = -h + 2*t. Suppose 4*y = -1759 - h. What is y rounded to the nearest 100?
-700
Let n(o) = 2*o**2 + 3*o - 4. Let b be n(-3). Suppose 2*q = 5*k - 10, b*q + 3*k = 4*k - 48. Round q to the nearest 10.
-10
Let a = -13512.27124258 - -13501.35299. Let t = -0.08168542 + a. Let b = 11 + t. What is b rounded to 5 decimal places?
0.00006
Let h = 28.45 + -28. Round h to one decimal place.
0.5
Suppose 47*l - 2200000 = 51*l. Round l to the nearest 100000.
-600000
Let b be 43663/(-2)*(-4)/2. Suppose -u = -26337 - b. Round u to the nearest one hundred thousand.
100000
Let j = -8.94 + 9. Let a = j - -0.01. Let l = -0.014 - a. What is l rounded to two dps?
-0.08
Let r(h) = -h**3 - 9*h**2 - 10*h - 2. Let k(l) = l + 1. Let u be k(-9). Let a be r(u). Let w be (12/a)/(1/63). Round w to the nearest ten.
50
Let n(i) = -15*i**2 - 6*i + 4. Let d(u) = u - 3. Let j be d(-3). Let w be n(j). What is w rounded to the nearest 100?
-500
Let j = -0.08 - -0.01. Let v = 0.13 - j. Let k = v + -0.20000075. What is k rounded to seven dps?
-0.0000008
Let g = -0.064 + 0.13. Let h = -0.504 - g. Round h to 1 dp.
-0.6
Suppose 0*x - 2*x = 0 | {
"pile_set_name": "DM Mathematics"
} |
c**2 - 4780*c - 14376 = 0.
-3, 1198
Factor 3*m**4 + 549*m**3 + 3186*m**2.
3*m**2*(m + 6)*(m + 177)
Factor -y**2/4 - 115*y/2 + 18459/4.
-(y - 63)*(y + 293)/4
Factor 5*y**2/3 - 15850*y.
5*y*(y - 9510)/3
Factor b**3/3 - 6385*b**2 + 12769*b - 19153/3.
(b - 19153)*(b - 1)**2/3
Suppose -14*s**4/13 - 18*s**3 - 352*s**2/13 + 120*s/13 = 0. Calculate s.
-15, -2, 0, 2/7
Factor -3*i**2 + 12666*i - 25320.
-3*(i - 4220)*(i - 2)
Find z such that -2*z**2 + 9530*z - 76112 = 0.
8, 4757
Factor -4*k**5 + 2184*k**4 + 26640*k**3 + 80352*k**2.
-4*k**2*(k - 558)*(k + 6)**2
What is f in -f**5/3 - f**4/3 + 614*f**3 + 7782*f**2 - 63099*f + 102789 = 0?
-27, 3, 47
Find j such that -3*j**3/4 + 5749*j**2/4 - 688802*j + 229441 = 0.
1/3, 958
Suppose -2*p**4 - 6768*p**3 - 5128992*p**2 + 1009677312*p - 44511731712 = 0. Calculate p.
-1776, 84
Factor -2*m**2/3 - 3040*m/3 - 41384.
-2*(m + 42)*(m + 1478)/3
Solve m**2/6 + 92728*m/3 - 61819/2 = 0 for m.
-185457, 1
Factor -2*q**4 + 90*q**3 - 996*q**2 + 2752*q + 3840.
-2*(q - 30)*(q - 8)**2*(q + 1)
Determine f so that -3*f**2/8 - 1298763*f/4 - 562261776723/8 = 0.
-432921
Find x, given that -2*x**5/7 + 2284*x**4/7 - 866382*x**3/7 + 107990636*x**2/7 + 63331016*x + 334457808/7 = 0.
-3, -1, 382
Suppose n**2/7 + 8437*n/7 - 16878/7 = 0. Calculate n.
-8439, 2
Find x such that x**2/2 - 1519*x + 2307361/2 = 0.
1519
Factor -4*u**2 + 30344*u - 60672.
-4*(u - 7584)*(u - 2)
Suppose 8*i**5/3 - 296*i**4 + 11954*i**3/3 - 14004*i**2 + 33488*i/3 - 2560 = 0. What is i?
1/2, 4, 10, 96
Find i such that -i**4/2 + 13*i**3 - 115*i**2/2 - 171*i = 0.
-2, 0, 9, 19
Determine h, given that -h**2/5 - 36616*h/5 - 335182864/5 = 0.
-18308
Determine l, given that 2*l**4/3 - 14*l**3 + 66*l**2 - 90*l = 0.
0, 3, 15
Find i, given that -3*i**3 + 1815*i**2 - 7197*i - 9015 = 0.
-1, 5, 601
Let -8*v**4/13 + 842*v**3/13 + 1528*v**2/13 - 3210*v/13 = 0. Calculate v.
-3, 0, 5/4, 107
Factor j**3/4 + 92*j**2 + 361*j - 1092.
(j - 2)*(j + 6)*(j + 364)/4
Suppose t**5 - 255*t**4 - 778*t**3 + 1032*t**2 = 0. What is t?
-4, 0, 1, 258
Factor 4*v**2 + 1076*v - 6600.
4*(v - 6)*(v + 275)
Solve -d**4/3 - 28*d**3/3 + d**2 + 86*d/3 + 56/3 = 0.
-28, -1, 2
Factor -5*k**4 + 8895*k**3 + 71480*k**2.
-5*k**2*(k - 1787)*(k + 8)
Factor -4*t**3 - 2664*t**2 + 111360*t - 1129600.
-4*(t - 20)**2*(t + 706)
Solve 16*y**4 - 467120*y**3 + 467108*y**2 - 116776*y = 0.
0, 1/2, 29194
Let -13077*o**3 + 60996*o**2 - 34732*o - 80 = 0. Calculate o.
-10/4359, 2/3, 4
Factor -2*k**2 - 963504*k - 116042494752.
-2*(k + 240876)**2
Determine h, given that 2*h**5/13 + 240*h**4/13 + 2034*h**3/13 + 3988*h**2/13 - 72*h - 5328/13 = 0.
-111, -6, -2, 1
Factor -2*s**2/5 - 2856*s/5 + 222296/5.
-2*(s - 74)*(s + 1502)/5
Factor 5*l**3 - 320*l**2 - 32300*l - 375760.
5*(l - 122)*(l + 14)*(l + 44)
Factor -2*c**3/7 + 12*c**2/7 + 122*c/7 - 60.
-2*(c - 10)*(c - 3)*(c + 7)/7
Factor -v**3/2 + 1189*v**2/2 + 34238*v - 34832.
-(v - 1244)*(v - 1)*(v + 56)/2
Solve -f**5 + 38650*f**4 - 38649*f**3 = 0.
0, 1, 38649
Determine y, given that 5*y**4 + 2435*y**3 + 213895*y**2 - 2435*y - 213900 = 0.
-372, -115, -1, 1
Factor 4*h**4 - 6872*h**3 + 2972068*h**2 - 17647296*h + 26378496.
4*(h - 856)**2*(h - 3)**2
Determine n, given that 4*n**3 + 3216*n**2 - 710640*n + 35061248 = 0.
-992, 94
Determine d so that -4*d**3 - 1861072*d**2 - 216476172884*d - 432944901512 = 0.
-232633, -2
Determine q, given that q**3 + 166*q**2 + 3289*q + 17424 = 0.
-144, -11
What is t in 3*t**2/5 + 12816*t/5 + 17913 = 0?
-4265, -7
Solve -2*f**3/5 + 14*f**2/5 + 4592*f/5 + 4576/5 = 0 for f.
-44, -1, 52
Determine j so that -3*j**5 + 756*j**4 + 37185*j**3 + 549882*j**2 + 2566320*j = 0.
-17, -10, 0, 296
Factor 2*r**2/23 - 5397028*r/23 + 3640988904098/23.
2*(r - 1349257)**2/23
What is s in s**2/6 + 511028*s/3 + 130574808392/3 = 0?
-511028
Let -6*j**5/7 - 54*j**4/7 + 456*j**3/7 + 5304*j**2/7 + 14400*j/7 + 9600/7 = 0. Calculate j.
-10, -4, -1, 10
Find y such that 6*y**2/7 - 22884*y/7 + 114270/7 = 0.
5, 3809
Let -u**3/2 + 6806*u**2 - 46308021*u/2 - 46335249 = 0. What is u?
-2, 6807
Factor -u**3/2 - 17*u**2/2 + 95*u + 1300.
-(u - 13)*(u + 10)*(u + 20)/2
Suppose -5*j**2 - 2874*j - 193752 = 0. Calculate j.
-2484/5, -78
Suppose -3*v**5/2 - 81*v**4/2 - 219*v**3 - 180*v**2 = 0. What is v?
-20, -6, -1, 0
Factor -28*a**2 - 2370000*a + 338572.
-4*(a + 84643)*(7*a - 1)
Factor -w**2 - 7610*w + 114375.
-(w - 15)*(w + 7625)
Determine x, given that -3*x**4/2 - 9*x**3/2 + 2805*x**2/2 + 34029*x/2 - 18411 = 0.
-19, 1, 34
Factor -3*d**3 - 256218*d**2 + 3*d + 256218.
-3*(d - 1)*(d + 1)*(d + 85406)
Factor 4*i**2 + 24032*i - 96192.
4*(i - 4)*(i + 6012)
Find l such that 2*l**2/15 + 777332*l/5 + 226591889334/5 = 0.
-582999
Solve -5*b**4 + 4900*b**3 - 72690*b**2 + 304220*b - 236425 = 0 for b.
1, 7, 965
Suppose 2*r**2 + 270508*r + 9146822258 = 0. What is r?
-67627
Determine n, given that -n**3 + 22*n**2 + 968*n = 0.
-22, 0, 44
Find u, given that u**4/4 - 58*u**3 - 2352*u**2 - 15968*u - 30016 = 0.
-28, -4, 268
Factor g**3/5 - 494*g**2/5 - 1988*g/5 - 1992/5.
(g - 498)*(g + 2)**2/5
Suppose -w**2/4 - 290649*w/4 + 145325/2 = 0. Calculate w.
-290650, 1
Factor -b**2/3 + 7593*b + 45570.
-(b - 22785)*(b + 6)/3
Let -5*w**2/6 - 15503*w/2 - 18602/3 = 0. What is w?
-9301, -4/5
Let 3*y**3 + 1725*y**2 + 330225*y + 21048375 = 0. Calculate y.
-205, -185
Determine v so that -16*v**5/5 + 628*v**4 + 5532*v**3/5 + 2376*v**2/5 = 0.
-1, -3/4, 0, 198
Factor -5*x**2 - 6115*x - 18300.
-5*(x + 3)*(x + 1220)
Factor -4*j**4/7 + 7016*j**3 - 150700164*j**2/7 - 43078240*j - 150798400/7.
-4*(j - 6140)**2*(j + 1)**2/7
Factor -w**4 - 382*w**3 + 783*w**2 + 5724*w - 13824.
-(w - 3)**2*(w + 4)*(w + 384)
Factor 5*s**4 - 405*s**3 + 1870*s**2 + 2280*s.
5*s*(s - 76)*(s - 6)*(s + 1)
Solve -5*i**4 - 180*i**3 + 1575*i**2 + 13770*i + 22680 = 0 for i.
-42, -3, 12
Factor -2*g**2 + 1752*g + 59994.
-2*(g - 909)*(g + 33)
Factor k**3/4 - 51*k**2/2 + 941*k/4 - 483.
(k - 92)*(k - 7)*(k - 3)/4
Factor -169*r**3 - 75491*r**2 - 8392440*r + 8468100.
-(r - 1)*(13*r + 2910)**2
Solve 5*y**5 - 54270*y**4 + 108525*y**3 - 54260*y**2 = 0.
0, 1, 10852
Factor 33097009*m**2 + 356686*m + 961.
(5753*m + 31)**2
Let -2*g**4/7 + 4040*g**3/7 + 24350*g**2/7 - 76820*g/7 - 48624 = 0. What is g?
-7, -3, 4, 2026
What is a in -2*a**2/5 - 1132*a/5 + 4446 = 0?
-585, 19
Factor 4*u**3/9 - 92*u**2/3 - 580*u/9 + 284/3.
4*(u - 71)*(u - 1)*(u + 3)/9
What is l in l**3/3 + 1151*l**2/3 - 10432*l/3 + 9280/3 = 0?
-1160, 1, 8
Factor 2*x**2/19 + 1312*x/19.
2*x*(x + 656)/19
Find n, given that -n**4 + 149*n**3 - 294*n**2 = 0.
0, 2, 147
Let 18*l**4 + 75*l**3 - 2076*l**2 + 5700*l + 1008 = 0. What is l?
-14, -1/6, 4, 6
Factor 4*d**4 - 45892*d**3 - 45896*d**2.
4*d**2*(d - 11474)*(d + 1)
Factor -3*x**3/2 + 957*x**2 - 151680*x - 307200.
-3*(x - 320)**2*(x + 2)/2
Factor -36*j**3 - 32*j**2 + 1600*j - 3584.
-4*(j - 4)*(j + 8)*(9*j - 28)
Factor v**5/4 + 6*v**4 + 45*v**3/4 - 675*v**2/2.
v**2*(v - 6)*(v + 15)**2/4
Let 2*b**5/15 - 26*b**3/15 + 24*b/5 = 0. Calculate b.
-3, -2, 0, 2, 3
Factor -4*b**3 - 2580*b**2 - 178752*b - 3286544.
-4*(b + 38)**2*(b + 569)
Find m such that -1805*m**2 - 80750*m - 903125 = 0.
-425/19
Suppose -2*s**2 - 50872*s + 1273050 = 0. What is s?
-25461, 25
Find t, given that -5*t**2 + 73315*t - 366450 = 0.
5, 14658
Let 2*k**5/9 - 1588*k**4/9 - 16*k**3/9 + 12704*k**2/9 + 32*k/9 - 25408/9 = 0. Calculate k.
-2, 2, 794
Suppose a**2/3 + 33740*a/3 + 33739/3 = 0. What is a?
-33739, -1
Factor -3*p**2 + 1137441*p.
-3*p*(p - 379147)
Suppose -2*c**3 - 12776*c**2 + 25558*c - 12780 = 0. Calculate c.
-6390, 1
Let 3*v**3 + 57*v**2 - 126*v = 0. Calculate v.
-21, 0, 2
Determine s so that -2*s**3 - 28064*s**2 + 56134*s - 28068 = 0.
-14034, 1
Let -32*p**5/7 + 23120*p**4/7 - 66126*p**3 + 1664804*p**2/7 - 747056*p/7 + 89856/7 = 0. Calculate p.
1/4, 4, 16, 702
Find t, given that -t**2/4 - 1887609*t/4 + 943805/2 = 0.
-1887610, 1
Let h**5/3 + 10*h**4 + 79*h**3 + 532*h**2/3 = 0. What is h?
-19, -7, -4, 0
Suppose 2*m**3/17 - 212*m**2/17 - 2054*m/17 - 1840/17 = 0. Calculate m.
-8, -1, 115
Factor 4*h**2/3 + 460*h + 14696/3.
4*(h + 11)*(h + 334)/3
Solve h**2 + 706536*h + 124798279824 = 0 for h.
-353268
Determine n so that -2*n**5/11 + 212*n**4/11 + 454*n**3/11 - 2352*n**2/11 - 2592*n/11 = 0.
-4, -1, 0, 3, 108
Factor -4*r**3 - 328*r**2 | {
"pile_set_name": "DM Mathematics"
} |
0. Let g = -14 + w. Factor -g*r**3 + 0 - 154/5*r**4 - 98/5*r**5 + 0*r - 8/5*r**2.
-2*r**2*(r + 1)*(7*r + 2)**2/5
Factor 1/3*v**2 + 13/3*v + 22/3.
(v + 2)*(v + 11)/3
Let u(l) be the second derivative of 3/2*l**3 + 0 - 8/45*l**6 - 2/3*l**2 + 92*l - 6/5*l**5 - 25/36*l**4. Suppose u(c) = 0. What is c?
-4, -1, 1/4
Let -10 - 57/5*x**2 - 19*x - 13/5*x**3 - 1/5*x**4 = 0. Calculate x.
-5, -2, -1
Let j(u) be the first derivative of 38*u**6/3 + 51*u**5 + 235*u**4/4 + 20*u**3 + 2*u**2 - 2343. Let j(a) = 0. What is a?
-2, -1, -1/4, -2/19, 0
Solve -320*o - 166*o**2 - 26/3*o**3 - 136/3 = 0.
-17, -2, -2/13
Let r(s) be the first derivative of -s**6/36 + s**5/4 + 35*s**4/72 - 10*s - 77. Let v(z) be the first derivative of r(z). Suppose v(o) = 0. What is o?
-1, 0, 7
Determine a so that -539*a - 130*a - 2356 - 1902*a - 1301 - 186 - 6*a**2 = 0.
-427, -3/2
Let s(p) = 5*p**3 + 165*p**2 + 865*p + 22. Let q(b) = b**3 + 33*b**2 + 170*b + 4. Let n(h) = 33*q(h) - 6*s(h). Factor n(z).
3*z*(z + 5)*(z + 28)
Let o(l) be the second derivative of l**6/1800 - l**5/300 + 11*l**3/2 - l**2 + 89*l. Let a(k) be the second derivative of o(k). Suppose a(g) = 0. Calculate g.
0, 2
Factor 1/3*v**2 + 25/3*v + 48.
(v + 9)*(v + 16)/3
Let z = 667/54 + 3941/54. Factor -32/3*s + z + 1/3*s**2.
(s - 16)**2/3
Factor 0*v**2 + 0*v - 8/9*v**5 + 0 - 17/9*v**4 - 2/9*v**3.
-v**3*(v + 2)*(8*v + 1)/9
Let o = -13047 - -130471/10. Let d(k) be the second derivative of -o*k**6 + 5/12*k**4 + 0 + 1/4*k**5 - k**2 - 5/6*k**3 + 18*k. Solve d(s) = 0.
-1, -1/3, 1, 2
Let i(w) = -3*w - 2. Let u be i(-2). Let p = -5515 + 5519. Find n, given that u*n**5 - 2*n**p - 2*n**5 + 4*n**4 + 140*n**2 - 142*n**2 - 2*n**3 = 0.
-1, 0, 1
Suppose -53 = 36066*u - 36062*u + 5*l, -2*u - 7 = l. Solve 55/6*j**2 + 15 - 10/3*j**u + 125/2*j = 0 for j.
-3, -1/4, 6
Solve -78/7*t**2 + 60 - 3/7*t**3 - 339/7*t = 0 for t.
-20, -7, 1
Determine c so that -114*c + 40*c**3 - 5*c**4 + c**4 + 959 - 719 - 94*c - 91*c**2 + 23*c**2 = 0.
-2, 1, 5, 6
Let y(i) = 6*i**2 - 1058*i + 555. Let f(c) = 2*c**2 + 8*c + 1. Let a(u) = -5*f(u) + y(u). Factor a(l).
-2*(l + 275)*(2*l - 1)
Let b(p) = -p**3 + 25*p**2 + 83*p + 30. Let c be b(28). Factor 2*g**4 - 48*g**3 + 3*g**2 - 16*g - 23*g**c + 46*g**3.
2*g*(g - 4)*(g + 1)*(g + 2)
Let h = -71757 + 19230933/268. Let q = h + 5/134. Factor -q*w**3 - 1/2*w**2 - 1 + 7/4*w.
-(w - 1)**2*(w + 4)/4
Let b(j) be the first derivative of 2*j**3/27 + 1592*j**2/9 + 1267232*j/9 - 2283. Find p, given that b(p) = 0.
-796
Let c be 10 + 135/(-18) - 2/4. Factor 3*m**4 + 7*m**2 - 36*m + 6*m**3 + 22 - 3*m**c - 40*m**2 + 74 + 12*m.
3*(m - 2)**2*(m + 2)*(m + 4)
Let l be (731/102 - 8)/(98/(-126) + (-1)/3). Solve -9/2*n - 21/4*n**2 - l*n**3 + 0 = 0.
-6, -1, 0
Let j(d) = 8*d**3 - 6*d**2 + 10*d + 66. Let o(w) = 9*w**3 - 5*w**2 + 12*w + 67. Let r(v) = -7*j(v) + 6*o(v). Factor r(i).
-2*(i - 5)*(i - 3)*(i + 2)
Let r(g) be the third derivative of -g**7/70 - 11*g**6/60 - 37*g**5/60 - 5*g**4/12 - 1296*g**2 - 2*g. Let r(c) = 0. What is c?
-5, -2, -1/3, 0
Suppose -2*d = -u - 0*u + 55, d - 253 = -5*u. Let q(s) = 26*s**2 - 8*s + 65. Let y(o) = 3*o**2 - o + 8. Let r(a) = u*y(a) - 6*q(a). Factor r(b).
-3*(b - 2)*(b + 3)
Factor 4*g**3 - 136*g**2 + 461*g + 533 + 35*g - 1013.
4*(g - 30)*(g - 2)**2
Let m(l) be the first derivative of -7*l**4/8 + 405*l**3/2 - 52461*l**2/4 - 22707*l/2 + 90. Factor m(x).
-(x - 87)**2*(7*x + 3)/2
Let g(b) be the second derivative of b**4/3 + 184*b**3/3 + 360*b**2 - 676*b - 2. Let g(a) = 0. What is a?
-90, -2
Suppose -225/2*v**2 - 29 - 79/2*v**3 - 201/2*v + 3/2*v**4 = 0. Calculate v.
-1, -2/3, 29
Let t(h) be the second derivative of h**7/84 - h**6/3 + 7*h**5/8 + 5*h**4/6 - 3*h**3 - 1196*h. Suppose t(z) = 0. Calculate z.
-1, 0, 1, 2, 18
Let a(z) = z**3 + 19*z**2 - 16*z + 82. Let h(w) = -19*w**2 - 8*w + 7. Let b be h(1). Let y be a(b). Factor -32/13 + 16/13*u - 2/13*u**y.
-2*(u - 4)**2/13
Factor -2*d**3 + 144*d**2 - 133 + 1430*d - 531*d + 1789*d + 11397.
-2*(d - 88)*(d + 8)**2
Solve -202*c - 34858*c**2 + 1402*c - 45*c**5 + 30918*c**2 - 705*c**4 + 1786*c**3 + 1914*c**3 = 0 for c.
-20, 0, 2/3, 3
Let r(a) be the second derivative of a**6/60 + a**5/30 - a**4/3 - 4*a**3/3 + 26*a**2 - 26*a. Let u(h) be the first derivative of r(h). Factor u(q).
2*(q - 2)*(q + 1)*(q + 2)
Let k be ((-33)/9 + 4)/(592/(-48) + 14). Factor -k*f**2 + 6/5 + 1/5*f.
-(f - 3)*(f + 2)/5
Let j(v) be the third derivative of -v**5/100 - 3*v**4/4 - 209*v**3/10 + 3061*v**2. Determine k, given that j(k) = 0.
-19, -11
Suppose 4*s = -3*m - 4 - 6, m + 4*s + 14 = 0. Let b = -8237 + 8240. Find j such that -5/4*j + 1/2*j**m + 1/2 - j**4 + j**b + 1/4*j**5 = 0.
-1, 1, 2
Let x be 16176/14 + -9*(-1)/(-21). Solve -6*n**3 - 1158*n**5 + x*n**5 + 9*n**3 = 0.
-1, 0, 1
Let l(h) be the first derivative of -2/21*h**3 + 8 + 4/7*h**2 + 7*h - 2/21*h**4 + 1/35*h**5. Let m(t) be the first derivative of l(t). Factor m(y).
4*(y - 2)*(y - 1)*(y + 1)/7
Let h(v) be the second derivative of -v**6/60 - 11*v**5/20 - 55*v**4/8 - 116*v**3/3 - 80*v**2 - 283*v. Factor h(w).
-(w + 1)*(w + 5)*(w + 8)**2/2
Let h(l) = l**3 - 1. Let g(x) be the second derivative of 2*x**6/15 + x**5/5 + 4*x**4/3 + 6*x**2 - 5*x - 2. Let p(a) = g(a) + 12*h(a). Factor p(o).
4*o**2*(o + 2)**2
Factor -2*x**3 + 15/2*x**2 - 8*x - 1/4*x**4 + 11/4.
-(x - 1)**3*(x + 11)/4
Let o(k) be the second derivative of -k**7/273 - 49*k**6/195 + 331*k**5/65 + 13519*k**4/39 - 501061*k**3/39 + 2237411*k**2/13 + 180*k + 3. Factor o(m).
-2*(m - 11)**3*(m + 41)**2/13
Let j(r) be the second derivative of -239*r + 144*r**2 + 141/20*r**5 - 80*r**3 - 4/5*r**6 + 0 + 37/6*r**4 + 1/42*r**7. Let j(a) = 0. What is a?
-2, 1, 12
Let c(j) be the first derivative of 0*j + 2/35*j**5 + 2/7*j**4 + 2/7*j**2 + 104 + 10/21*j**3. Factor c(h).
2*h*(h + 1)**2*(h + 2)/7
Solve -w**2 + 3*w**2 - 2*w**2 - 3*w**2 + 339*w + 342 = 0.
-1, 114
Let o(l) be the first derivative of -5*l**3/3 - 45*l**2/2 + 1430*l - 2963. Factor o(m).
-5*(m - 13)*(m + 22)
Suppose 7*a - 9*a = -3*n - 5, 4*a - 13 = 5*n. Let d be (-988)/(-28) + (-2)/a. Determine f so that 84*f**3 + d*f - 99*f**2 - 15*f**4 - 51*f - 38*f = 0.
-2/5, 0, 3
Let p be ((-2)/8)/(4/(-64)). Suppose -3*d = x - 13, 0 = -5*x - p + 9. Factor -20*n + 0*n**4 + 2*n**4 + 0*n**d - 20*n**3 - 30*n**2 - 5 - 7*n**4.
-5*(n + 1)**4
Let y(i) be the second derivative of 1/63*i**7 + 0*i**2 + 0*i**3 + 2/9*i**4 - 72*i - 2/15*i**5 - 1/45*i**6 + 0. Suppose y(x) = 0. What is x?
-2, 0, 1, 2
Let t(r) be the third derivative of r**6/480 - r**5/15 + 2*r**4/3 + 1396*r**2. Factor t(l).
l*(l - 8)**2/4
Let k = -13178/3 - -4393. Let j(m) be the second derivative of -5/6*m**3 + 0*m**2 - 18*m + 0*m**5 + 0 + 5/6*m**4 - k*m**6 + 5/42*m**7. Factor j(d).
5*d*(d - 1)**3*(d + 1)
Let t be (12/126*176)/(1/(-9)). Let c = t - -1065/7. Find n such that -3/7*n**2 + 30/7 + c*n = 0.
-2, 5
Let i = 38896 - 38896. Let h(m) be the third derivative of 9*m**2 + 0*m**4 + 0*m**6 + 0*m**3 + 0 + i*m + 1/180*m**5 - 1/630*m**7. Factor h(q).
-q**2*(q - 1)*(q + 1)/3
Let a(b) be the first derivative of b**7/1680 + 47*b**6/2160 + 11*b**5/45 - 4*b**4/9 - 26*b**3/3 - 17. Let r(o) be the third derivative of a(o). Factor r(g).
(g + 8)**2*(3*g - 1)/6
Factor r**2 - 550 - 5*r**2 - 9 - 947 - 150 - 1660*r.
-4*(r + 1)*(r + 414)
Suppose -123*f + 127*f + 24 = -4*o, -5*o + 4*f + 51 = 0. Let 4/3 + 6*k**2 - 10/3*k**o - 14/3*k + 2/3*k**4 = 0. Calculate k.
1, 2
Let u be (4 - -1)/((-875)/(-350)). Let c = 5 - 3. Factor c*h**u - 26 + 2*h + 6 + 8.
2*(h - 2)*(h + 3)
Suppose 200*x - 524 + 124 = 0. What is w in 4/13*w + 30/13 - 2/13*w**x = 0?
-3, 5
Suppose n + 2*l + 85 = 3*l + 89, -2*n = 2*l. Determine v so that 15*v - 3/7*v**n - 102/7 = 0.
1, 34
Let y = 11 + -63. Let x = y - -62. Let 4*j**3 - x*j**3 + j**3 + 28*j**2 - 8*j**2 - 20*j = 0. What is j?
0, 2
Let z(g) be the first derivative of -4*g**3/3 - 608*g**2 - 92416*g + 769. Let z(d) = 0. Calculate d.
-152
Let r(t) be the third derivative of -t**5/300 - 19*t**4/120 + 4*t**3 + 4834*t**2. Factor r(u).
-(u - 5)*(u + 24)/5
Let g(s) be the third derivative of s**6/720 - 123*s**5/40 + 1657*s**4/72 - 184*s**3/3 - 2*s**2 - 2482. Factor g(l).
(l - 1104)*(l - 2)*(l - 1)/6
Suppose -t - 15 + 19 = 0. Determine a so that -t*a**3 - a**2 - 125*a + 236*a - 123*a + 17*a**2 = 0.
0, 1, 3
Let w(q) b | {
"pile_set_name": "DM Mathematics"
} |
55/1092
What is prob of sequence fxx when three letters picked without replacement from xfxxxxxxxxfxxxxfxf?
91/612
Three letters picked without replacement from {m: 1, u: 4, j: 3, h: 1, r: 5}. Give prob of sequence mjj.
1/364
Three letters picked without replacement from esqftfeststets. Give prob of sequence ees.
1/91
Calculate prob of sequence ss when two letters picked without replacement from sss.
1
Calculate prob of sequence huuh when four letters picked without replacement from hhhhuhuuuu.
5/63
Four letters picked without replacement from vvvvvvv. What is prob of sequence vvvv?
1
Calculate prob of sequence vvx when three letters picked without replacement from xvvvxxxvxxxxxx.
5/91
Three letters picked without replacement from cacacclciiccc. Give prob of sequence cac.
28/429
Two letters picked without replacement from yyxybbbyxxbyxyyyxk. Give prob of sequence by.
16/153
What is prob of sequence ll when two letters picked without replacement from llnn?
1/6
Calculate prob of sequence azjj when four letters picked without replacement from wwjxaoowzoozwaoajoa.
1/5814
What is prob of sequence fxvi when four letters picked without replacement from {f: 1, x: 4, v: 1, j: 2, i: 1}?
1/756
Two letters picked without replacement from hrhhhhgrhhlhrlrfhr. Give prob of sequence fg.
1/306
Two letters picked without replacement from jjiaaajjjd. What is prob of sequence di?
1/90
Three letters picked without replacement from zcyzyhyoy. Give prob of sequence yoh.
1/126
What is prob of sequence ggue when four letters picked without replacement from ueeggeuuuuguguge?
1/78
Two letters picked without replacement from {f: 1, r: 1, q: 1, n: 2}. What is prob of sequence nn?
1/10
What is prob of sequence enpe when four letters picked without replacement from nepnenng?
1/210
Calculate prob of sequence fnwf when four letters picked without replacement from pwnfpfffkpwpwkkw.
1/910
What is prob of sequence bbhb when four letters picked without replacement from bbhbbbbbbbbbbbbbhh?
91/816
Three letters picked without replacement from vzvoozjvnz. Give prob of sequence jnz.
1/240
Four letters picked without replacement from {i: 4, p: 3, c: 4, n: 7, a: 1}. Give prob of sequence ppia.
1/3876
Calculate prob of sequence mm when two letters picked without replacement from mkjjkmkmkjkkjkjkkmj.
2/57
What is prob of sequence tu when two letters picked without replacement from tuuzt?
1/5
Calculate prob of sequence vb when two letters picked without replacement from {b: 6, v: 6}.
3/11
Two letters picked without replacement from cvpzcz. Give prob of sequence pc.
1/15
Calculate prob of sequence zeol when four letters picked without replacement from eolzlllev.
1/378
Calculate prob of sequence kk when two letters picked without replacement from ekeeekepeeekjkeeekp.
10/171
Calculate prob of sequence fp when two letters picked without replacement from {f: 2, k: 4, p: 1}.
1/21
Two letters picked without replacement from oiioioiddiddooidido. Give prob of sequence io.
7/57
Two letters picked without replacement from {o: 3, t: 6, c: 2, n: 1}. What is prob of sequence nt?
1/22
Calculate prob of sequence dud when three letters picked without replacement from {c: 2, u: 1, t: 2, s: 6, d: 5}.
1/168
What is prob of sequence oqq when three letters picked without replacement from qyoococoeqoyqo?
3/182
Two letters picked without replacement from ccccmcccmmnmm. What is prob of sequence nc?
7/156
Three letters picked without replacement from {o: 5, i: 1, k: 2, g: 4, x: 1, u: 2}. What is prob of sequence ook?
4/273
Two letters picked without replacement from xmbmxbddxxbbmbbxbxd. What is prob of sequence mm?
1/57
Two letters picked without replacement from hhhbmhmmhhmmh. Give prob of sequence hb.
7/156
Three letters picked without replacement from iqttucy. Give prob of sequence qty.
1/105
Calculate prob of sequence wwk when three letters picked without replacement from kkkwwk.
1/15
Four letters picked without replacement from {v: 1, l: 4, h: 3, u: 1, r: 3, x: 5}. What is prob of sequence vlrh?
3/4760
Calculate prob of sequence prpp when four letters picked without replacement from {r: 1, w: 4, p: 9}.
3/143
Two letters picked without replacement from trrrttrtttttrrrrrtt. Give prob of sequence rt.
5/19
Calculate prob of sequence rrrn when four letters picked without replacement from rrrrnrnrrrrnrrr.
11/91
What is prob of sequence ow when two letters picked without replacement from wwowwwwwwowowwwwwoow?
15/76
Three letters picked without replacement from {k: 5, t: 2, n: 3}. Give prob of sequence ttn.
1/120
Four letters picked without replacement from {j: 5, k: 3, y: 2}. What is prob of sequence jykk?
1/84
Three letters picked without replacement from {l: 2, a: 1, t: 2}. What is prob of sequence atl?
1/15
Calculate prob of sequence me when two letters picked without replacement from {a: 1, e: 11, m: 1}.
11/156
Two letters picked without replacement from wwwkkwjqwwjw. What is prob of sequence ww?
7/22
Three letters picked without replacement from {c: 7, o: 2, n: 1}. What is prob of sequence onc?
7/360
What is prob of sequence on when two letters picked without replacement from {o: 3, n: 3}?
3/10
Three letters picked without replacement from {r: 1, a: 1, l: 2, z: 2}. Give prob of sequence arl.
1/60
Two letters picked without replacement from wfft. What is prob of sequence tf?
1/6
What is prob of sequence acab when four letters picked without replacement from {a: 3, c: 6, b: 8}?
3/595
Calculate prob of sequence aa when two letters picked without replacement from ccxxcecaa.
1/36
What is prob of sequence gx when two letters picked without replacement from {x: 7, g: 1}?
1/8
Two letters picked without replacement from qvhnqqnqqqqqq. Give prob of sequence qq.
6/13
Four letters picked without replacement from {a: 2, g: 5, t: 1, k: 1}. What is prob of sequence kgtg?
5/756
Calculate prob of sequence mj when two letters picked without replacement from mmjm.
1/4
What is prob of sequence bf when two letters picked without replacement from {f: 6, x: 1, b: 8}?
8/35
Calculate prob of sequence xm when two letters picked without replacement from {m: 2, x: 1, w: 2}.
1/10
Calculate prob of sequence hhhh when four letters picked without replacement from {p: 4, f: 1, h: 5}.
1/42
Two letters picked without replacement from vllofyfqoqoql. What is prob of sequence ly?
1/52
Two letters picked without replacement from {v: 11, z: 1}. Give prob of sequence vz.
1/12
Four letters picked without replacement from {u: 1, k: 1, d: 1, a: 1, b: 1}. Give prob of sequence akdu.
1/120
Four letters picked without replacement from bbhbbbtotbbttbth. What is prob of sequence htot?
1/1092
Two letters picked without replacement from {j: 1, d: 2, p: 2, k: 2, o: 1}. What is prob of sequence op?
1/28
Calculate prob of sequence rr when two letters picked without replacement from {r: 7}.
1
Two letters picked without replacement from eeooeeeoeeoo. Give prob of sequence eo.
35/132
Three letters picked without replacement from jjd. Give prob of sequence jjd.
1/3
What is prob of sequence ts when two letters picked without replacement from otrooogrssssotgotoot?
4/95
Calculate prob of sequence ims when three letters picked without replacement from {i: 1, x: 1, w: 2, y: 2, s: 2, m: 1}.
1/252
Calculate prob of sequence je when two letters picked without replacement from {e: 3, x: 6, i: 1, j: 2}.
1/22
Two letters picked without replacement from {n: 3, l: 3, f: 9, t: 1, v: 2, p: 2}. What is prob of sequence ft?
9/380
Calculate prob of sequence kkkt when four letters picked without replacement from tfttkfkttktttkkkfk.
7/306
Two letters picked without replacement from {b: 2, d: 1, z: 1, i: 2, o: 1}. Give prob of sequence id.
1/21
What is prob of sequence ioz when three letters picked without replacement from {z: 1, i: 1, l: 3, o: 1, f: 1}?
1/210
Four letters picked without replacement from nnnonnnnno. What is prob of sequence onnn?
2/15
Two letters picked without replacement from aahdahahhh. What is prob of sequence ah?
2/9
Two letters picked without replacement from gvgzvvvggzvgvivivvvv. What is prob of sequence ii?
1/190
Calculate prob of sequence dydy when four letters picked without replacement from dyyyyydyy.
1/36
Calculate prob of sequence hh when two letters pic | {
"pile_set_name": "DM Mathematics"
} |
o**2 - 2*o - 99
Let u(m) = -m**2 + 6*m. Let w(c) be the second derivative of -c**3/2 + 88*c. Give -2*u(i) - 5*w(i).
2*i**2 + 3*i
Let n(d) = 2*d. Let s(i) = 14*i + 135. What is -6*n(y) + s(y)?
2*y + 135
Let v(y) = -y - 7. Let z(p) = -p**2 - 2*p - 6. Let o be z(-11). Let c = 101 + o. Let i(j) = -1. What is c*i(m) + v(m)?
-m - 3
Let q(o) = 187*o - 1. Let b(s) = -750*s + 4. Calculate 2*b(a) + 9*q(a).
183*a - 1
Let h = -41 + 37. Let k(m) = 3*m**2 + 8*m - 1. Let r be k(h). Let w(v) = -3*v + 2. Let t(q) = 7*q - 5. What is r*w(g) + 6*t(g)?
-3*g
Let h(b) = 3*b**2 - 23*b + 8*b + 1670 - 1685. Suppose -c - 4*c = -75. Let x(f) = -f - 1. Determine c*x(r) - h(r).
-3*r**2
Let n be (2 + -1)*((-2 - -9) + -10). Let r(j) = -7*j. Let w(b) = 133*b. Give n*w(d) - 56*r(d).
-7*d
Suppose -4 - 16 = -5*l. Let s(f) = -f**2 - f - 4. Suppose 0 = d - 5 - 0, -10 = -q - d. Let g(c) = c**2 + c + 3. Give l*s(h) + q*g(h).
h**2 + h - 1
Suppose -4 - 3 = -7*r. Let m(v) = -3 + 5*v - v**3 - 3*v**2 + 7 - 2. Let w(l) = l**2 - l. Calculate r*m(u) + 3*w(u).
-u**3 + 2*u + 2
Let h(g) = 65*g - 13. Let q(v) = 2. Determine -h(z) - 6*q(z).
-65*z + 1
Let l(v) = 1. Let q(b) = 9*b**2 - 1. Let o(k) = 5*k**2 - 1. Let m(c) = -5*o(c) + 3*q(c). What is -2*l(i) + m(i)?
2*i**2
Let w(k) = k**2 - 1. Suppose 0 = 3*c - 5*f - 49, 5*f - 6 = -1. Suppose 13 = 5*h + c. Let i(b) = b**2 + 3*b - 3. Calculate h*i(q) + 2*w(q).
q**2 - 3*q + 1
Let j(b) = -2*b**3 - 11*b**2 - 2*b + 11. Let x(s) be the second derivative of s**5/20 + s**4/2 + s**3/6 - 3*s**2 + 61*s. What is -6*j(t) - 11*x(t)?
t**3 + t
Let z(v) be the third derivative of -3*v**5/20 - v**4/6 - 2*v**2. Let y(t) = 35*t**2 + 15*t. Let b = -151 + 155. Calculate b*y(f) + 15*z(f).
5*f**2
Let r(j) = 17. Let o(d) = d + 1. Determine 5*o(y) - r(y).
5*y - 12
Let j(h) = -4*h**2 - 5*h + 1. Let y = 8 - 6. Let k(r) = 25*r**2 + 17*r - 4. Let v(o) = 14*o**2 + 9*o - 2. Let n(c) = 3*k(c) - 5*v(c). Calculate y*n(w) + 3*j(w).
-2*w**2 - 3*w - 1
Let j(p) = 9*p**2 + 5. Let h(l) = 8*l**2 + 6. Let g = 194 + -189. Give g*h(u) - 6*j(u).
-14*u**2
Let d(h) = 9*h - 4. Let r(p) = 5*p - 2. Suppose 1 - 2 = m. Let c = m + 4. Suppose 35 - 4 = 2*w + c*b, 1 = -w + 4*b. What is w*r(u) - 6*d(u)?
u + 2
Let p(u) = u - 1. Let d(s) = -s + 6. Determine d(w) - 5*p(w).
-6*w + 11
Let r(d) = -d**3 + 3*d**2 - 4*d + 5. Let v(b) = -2*b**3 + 2*b**2 - 3*b + 5. Determine -2*r(a) + 3*v(a).
-4*a**3 - a + 5
Let l(m) = m + 24. Let r be l(-18). Let u(f) = 3*f**3 - 717 - 9*f**2 + 704 + 4*f**3. Let g(j) = -4*j**3 + 5*j**2 + 7. What is r*u(z) + 11*g(z)?
-2*z**3 + z**2 - 1
Let q(a) = -5*a**2 - 8*a + 9. Let i = -21 - -26. Let n(v) = -3*v**2 - 5*v + 6. Let j be 1*2*(-2 + 1). Let t be -6 + -2 + 2 + j. Give i*q(d) + t*n(d).
-d**2 - 3
Let z(h) = -2*h**3 + 6*h**2 - 11*h + 13. Let l(v) = -v**3 + 3*v**2 - 5*v + 6. Suppose -3*u - 687 + 648 = 0. Calculate u*l(o) + 6*z(o).
o**3 - 3*o**2 - o
Let n(g) = 35*g**2 - 7*g + 5. Let s(p) = 35*p**2 - 6*p + 4. Calculate 6*n(r) - 7*s(r).
-35*r**2 + 2
Suppose 0 = 3*t + 4*o - 49, -5*t - 5*o + 59 = -4*o. Let a(s) = -21*s**2 + 11*s. Let c(j) = 0*j**2 + 16 - 16 + 6*j - 11*j**2. Give t*c(k) - 6*a(k).
5*k**2
Let b(r) = -15*r - 67. Let k(c) = -7*c - 34. Calculate -3*b(i) + 7*k(i).
-4*i - 37
Let l(f) = 21*f + 1. Let c(r) = 10*r + 1. Calculate 5*c(y) - 2*l(y).
8*y + 3
Let i(k) = -3*k**2 + 22*k - 5. Let m(z) = 3*z**2 - 24*z + 6. What is 5*i(x) + 4*m(x)?
-3*x**2 + 14*x - 1
Let o(s) = -6*s - 20. Let l(t) be the third derivative of t**4/24 + 2*t**3/3 + 71*t**2. Calculate 16*l(u) + 3*o(u).
-2*u + 4
Let i(a) = -599 + 2*a**3 - a**3 + a**2 + 598. Let x(k) = -2*k**3 - 3*k**2 - 5*k + 2. What is -3*i(j) - x(j)?
-j**3 + 5*j + 1
Let x(t) = 5*t + 2. Let k(q) = 9 - 15*q + 4*q - 13 + 0. Determine 4*k(y) + 9*x(y).
y + 2
Let i(m) = -9*m + 12. Let a(u) = 1 - 2246*u + 1122*u + 1123*u. Give 12*a(w) - i(w).
-3*w
Let a(f) = 43*f**3 + 5*f**2 + f - 5. Let s(d) = -21*d**3 - 3*d**2 - d + 3. Determine 3*a(k) + 5*s(k).
24*k**3 - 2*k
Let z(o) = 6*o**2 + 19*o + 27. Let b(f) = 3*f**2 + 8*f + 13. Calculate 5*b(u) - 2*z(u).
3*u**2 + 2*u + 11
Suppose 6*p = 4*p - 2. Let i(a) = 2*a**2 + 5*a + 4. Let x(f) = -f**2 - f - 1. Calculate p*i(q) - 5*x(q).
3*q**2 + 1
Let j(l) = -16*l + 102. Let u(g) = -19*g + 102. Determine -6*j(w) + 5*u(w).
w - 102
Let w(g) = -g - 2. Let f(q) = 3*q - 1. Determine f(v) - 3*w(v).
6*v + 5
Let h(g) = -32*g - 22*g - 25*g + 80*g - 1. Let s(t) = 4*t - 6. Calculate 2*h(v) - s(v).
-2*v + 4
Let b(q) = 1. Let h be 320/(-448) - (-2)/(-7). Let y(n) = 6*n**2 + n + 5. Calculate h*y(i) + 5*b(i).
-6*i**2 - i
Let b(u) = 2*u. Suppose 0*o - 3 = o. Let z(t) = t. Determine o*b(v) + 5*z(v).
-v
Let a = -36 - -39. Let d(l) = 0*l**3 + 93 - 92 + l**a. Let t(i) = -2*i**3 - i**2 - 2. What is 5*d(m) + 3*t(m)?
-m**3 - 3*m**2 - 1
Let q be ((-2)/20)/((-5)/25). Let b(d) be the first derivative of q*d**2 - 2 + 1/3*d**3 + d. Let g(o) = 5*o**2 + 4*o + 3. Give -4*b(x) + g(x).
x**2 - 1
Let b(q) = -3*q**2 - 48*q - 4. Let k(c) = -4*c**2 - 48*c - 5. Give -3*b(s) + 2*k(s).
s**2 + 48*s + 2
Let k = 1 + 5. Let z(a) be the first derivative of a**2 + 12 - 4*a - 4/3*a**3. Let y(i) = -3*i**2 + 2*i - 3. Determine k*y(n) - 5*z(n).
2*n**2 + 2*n + 2
Let z = 13 - 10. Let m be (z - 15/6)/((-1)/(-10)). Let t(f) = -7*f - 7. Let r(n) = 6*n + 6. Calculate m*t(y) + 6*r(y).
y + 1
Let c(i) = -80. Let w(x) = 2*x**2 + 4. What is c(a) + 20*w(a)?
40*a**2
Let y(k) = k**3 - 315. Let j(a) = -a**3 + 314. Give 3*j(l) + 4*y(l).
l**3 - 318
Let v(r) = -160*r**2 - 8*r - 7. Let j(l) = 81*l**2 + 4*l + 3. Determine -5*j(d) - 2*v(d).
-85*d**2 - 4*d - 1
Let l(r) = -10*r + 5. Let t = 748 - 742. Let c(w) be the third derivative of -11*w**4/24 + w**3 + 2*w**2. Determine t*c(h) - 7*l(h).
4*h + 1
Let f(h) = 6*h - 5*h + 3 - 2. Let g be 1/(-4)*(0 - 28). Let l(s) = 3*s + 4. Give g*f(n) - 2*l(n).
n - 1
Suppose 6 = 5*t - 4*t. Let m(d) = 23*d**2 - 17*d - 8. Let c be ((-2)/4)/((-3)/(-102)). Let u(r) = 2*r + 16 + 8*r**2 - 8 - 8 - 8*r - 3. Give c*u(l) + t*m(l).
2*l**2 + 3
Let i(b) = 10*b**2 - 6*b - 9. Let r(y) = -14*y + 7. Let t be r(1). Let j(d) = -3*d**2 + 2*d + 3. What is t*j(s) - 2*i(s)?
s**2 - 2*s - 3
Let d(f) = 9*f - 7. Let v(q) = -31*q + 20. Determine 8*d(m) + 3*v(m).
-21*m + 4
Let o(u) = -72*u**2 + 3*u + 21. Let d(v) = -24*v**2 + v + 8. Determine -8*d(t) + 3*o(t).
-24*t**2 + t - 1
Let v(l) = 12*l**2 - 252*l - 10. Let k(m) = m**2 - 2*m - 1. Calculate -10*k(s) + v(s).
2*s**2 - 232*s
Let j(q) be the third derivative of q**4/24 + q**3/6 + 4*q**2 - 2*q. Let m(n) = 5*n + 2. Calculate 3*j(h) - m(h).
-2*h + 1
Let y(w) = w. Let g(d) be the second derivative of d**3/3 + d**2 - 29*d. What is -g(i) + 6*y(i)?
4*i - 2
Let n(h) = -136*h**2 + 3*h - 12. Let z(y) = 136*y**2 - y + 9. What is -3*n(c) - 4*z(c)?
-136*c**2 - 5*c
Let b(z) = -4*z**3 - 3*z**2 - 3. Let o(q) = -42*q**2 + 0*q**3 + 17*q**2 + 12*q**2 + q**3 + 14*q**2 + 1. Suppose -3*y = -3 + 6. Calculate y*b(m) - 3*o(m).
m**3
Suppose -3*g + 8*g + 25 = 0. Let i(c) = -6*c**3 + 2*c**2 + 7*c - 5. Let s(o) = -o + 9*o - 2706 + 2700 - 7*o**3 + 2*o**2. What is g*s(l) + 6*i(l)?
-l**3 + 2*l**2 + 2*l
Let c(s) be the second derivative of 19*s**3/6 - 5*s**2/2 + 16*s. Let r(o) = 10*o - 3. Let f(a) = 4*c(a) - 7*r(a). Let m(l) = 2*l. What is 2*f(i) - 5*m(i)?
2*i + 2
Let m(z) = -z**2 + z + 1. Let v(t) be the third derivative of -t**5/20 + t**4/8 + 2*t**3/3 + t**2 - 70*t. Determine -2*m(n) + v(n).
-n**2 + n + 2
Suppose -10 = 4*a - 20*v + 22*v, 40 = -4*a + 4*v. Let b(c) = 4*c**2 + 7*c + 2. Let d(y) = -y**3 - 9*y**2 - 15*y - 5. Give a*b(k) - 2*d(k).
2*k**3 - 2*k**2 - 5*k
Let x(f) = -3*f**2 - 3*f + 1. Let c(n) = -16*n**2 + 2*n + 10. Let i(a) = 17*a**2 - 5*a - 11. Let r(q) = -6*c(q) - 5*i(q). Give -2*r(v) - 9*x(v).
5*v**2 + v + 1
Let o(d) = -8*d**3 - d**2 - 2. Let j = 218 + -213. Let x(w) = 7*w**3 + w**2 + 2. Give j*o(n) + 6*x(n).
2*n**3 + n**2 + 2
Let c(x) be the second derivative of -17*x**4/12 + 5*x**3/6 + x**2/2 - 126*x. Let a(q) = 42*q**2 - 12*q - 2. Determine 5*a(i) + 12*c(i).
6*i**2 + 2
Let u(j) be the second derivative of -13*j**3/6 - 3*j**2/2 + 797*j. Let y(o) = 13*o + 2. What is -2*u(r) - 3*y(r)?
-13*r
Let c(h) = 187*h - 12. Let s(v) = 95*v - 7. Calculate 3*c(q) - 5*s(q).
86*q - 1
Let t(b) = -286*b**2 - 39*b - 39. Let y(l) = -30*l**2 + 7*l + 51. Let q(r) = -15*r**2 + 4*r | {
"pile_set_name": "DM Mathematics"
} |
?
9
What is the ten thousands digit of 3309704?
0
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4
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0
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0
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6
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0
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9
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9
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7
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6
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9
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9
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9
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9
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0
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1
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5
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3
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8
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6
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5
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8
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9
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2
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6
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3
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5
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3
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1
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5
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5
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3
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6
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2
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2
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6
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7
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3
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3
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1
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7
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1
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0
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9
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2
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8
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9
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1
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3
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8
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6
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7
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6
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2
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7
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2
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7
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0
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3
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8
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3
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1
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3
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8
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6
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3
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9
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5
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5
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2
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3
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2
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5
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5
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9
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6
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5
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7
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2
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4
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1
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1
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6
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3
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5
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4
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8
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2
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9
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9
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3
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0
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7
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8
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0
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3
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1
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7
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7
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6
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5
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7
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1
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5
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2
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0
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9
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5
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1
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3
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2
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4
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9
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4
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2
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4
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1
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6
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0
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4
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3
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8
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2
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6
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6
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1
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1
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1
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7
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2
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1
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3
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9
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6
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9
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0
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7
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3
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1
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5
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7
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8
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9
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9
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1
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2
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9
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2
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1
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1
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6
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4
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1
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5
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5
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1
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9
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5
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2
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4
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2
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5
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8
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3
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0
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9
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5
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6
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5
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9
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3
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5
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0
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7
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0
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8
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0
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8
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3
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4
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6
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6
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6
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3
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4
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6
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4
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7
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5
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9
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9
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0
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9
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0
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8
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7
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2
What is the hundred thousands digit of 17204 | {
"pile_set_name": "DM Mathematics"
} |
.
g**(150/37)
Simplify ((((r/r**(-5/4))/r)/r)/(r*r/((r**2/r)/r)*r*r*r*r))/((r**(-2/3)/r)/(r/(r*r**(-1/5)/r))) assuming r is positive.
r**(-173/60)
Simplify y**(-9/4)/(((y*y**(1/15)*y)/y)/y) assuming y is positive.
y**(-139/60)
Simplify (((v*v/v**(-1/4))/v)**(1/26))**(1/2) assuming v is positive.
v**(5/208)
Simplify (u**0*u*u)**(-31)/(u*u*u**(-1/3))**(-1/48) assuming u is positive.
u**(-8923/144)
Simplify (((n*n/(n/(n**(1/6)/n)*n)*n)/n)/n**(7/4))/(((n*n**(-3))/n*n)/n*(n/n**0)/n) assuming n is positive.
n**(5/12)
Simplify f**(-12)*f**17/f assuming f is positive.
f**4
Simplify (b**4)**(2/39) assuming b is positive.
b**(8/39)
Simplify c**20*c*c*c**(19/2) assuming c is positive.
c**(63/2)
Simplify (m/(m*m**0/m*m*m)*m*m*m**0/m)/(m**(-1/3)/m)**35 assuming m is positive.
m**(140/3)
Simplify (l**(-4)/(((l*l**(2/37)/l)/l)/l))/(l**8*l*l**(-3)/l*l*l) assuming l is positive.
l**(-335/37)
Simplify ((j**(-1/4))**(-2/71))**16 assuming j is positive.
j**(8/71)
Simplify (i**3/(i**(2/9)*i))/(i/i**(-4)*i**(1/6)) assuming i is positive.
i**(-61/18)
Simplify t**(-2/39)/t**10 assuming t is positive.
t**(-392/39)
Simplify h**(1/2)*(h*((h**(-4)*h)/h)/h)/h*(h**(-1))**(4/29) assuming h is positive.
h**(-269/58)
Simplify ((h*(h**(-1/3)/h)/h)/(h*((h**(-8)*h)/h)/h))/((h**1/h)/(h*h**(-4))) assuming h is positive.
h**(11/3)
Simplify (j**0)**1*j*j*j*j**(1/7)*j**(-5/4) assuming j is positive.
j**(53/28)
Simplify (u**1/(u*u/(u**(2/23)*u)))**(-18/5) assuming u is positive.
u**(-36/115)
Simplify g**(-5/7)/g*g*((g/(g*g**6/g*g)*g)/g)/g assuming g is positive.
g**(-54/7)
Simplify c**(6/13)/c**(1/16) assuming c is positive.
c**(83/208)
Simplify ((q**(-1/3)*q*q)**(1/43))**(-30) assuming q is positive.
q**(-50/43)
Simplify x**5/((x**(-5)/x)/x)*(x**(-2/5))**(3/10) assuming x is positive.
x**(297/25)
Simplify ((p**(5/3)/p)/(p/((p/((p/p**1)/p))/p*p)*p))/(p**(-1)/(((p/p**2)/p)/p)) assuming p is positive.
p**(-4/3)
Simplify (n**(2/3)/n)/(n**8*n)*n**(-2/3)/(n**(-1)/n) assuming n is positive.
n**(-8)
Simplify p**(-3/2)*p**(1/8) assuming p is positive.
p**(-11/8)
Simplify j**(-1/2)*j*j**1*(j**(-1))**(-44) assuming j is positive.
j**(91/2)
Simplify (k**(-3/8)*k)/(k**17/k*k) assuming k is positive.
k**(-131/8)
Simplify k**(3/4)/k**2*(k/(k*(k*(k*k**(-2/3)*k)/k)/k*k)*k)**2 assuming k is positive.
k**(-23/12)
Simplify ((j*(j/(j**(1/2)/j))/j)**(-21))**(3/16) assuming j is positive.
j**(-189/32)
Simplify k**12/(((k**(2/3)*k)/k)/k) assuming k is positive.
k**(37/3)
Simplify ((u**(-2/3))**(-23))**(-38) assuming u is positive.
u**(-1748/3)
Simplify (z**4/z**(-10))**(-37) assuming z is positive.
z**(-518)
Simplify (n/(n**(3/11)/n*n*n))**(-2/85) assuming n is positive.
n**(6/935)
Simplify o**(-7)*o/(o**6/o)*(o*o/(o**(-2/3)/o)*o)**(-39) assuming o is positive.
o**(-193)
Simplify (r**23)**41 assuming r is positive.
r**943
Simplify (t*t**(-5/3))**(2/39) assuming t is positive.
t**(-4/117)
Simplify (a*a**(-7)*a**(-4/7))/(a**(-1))**(-2/157) assuming a is positive.
a**(-7236/1099)
Simplify ((k*k**(-9))/k)/k**(2/53) assuming k is positive.
k**(-479/53)
Simplify y**(1/2)/y**6*(y**(-1/4))**(-7/8) assuming y is positive.
y**(-169/32)
Simplify ((c/(c/(c/(c*c**(-11/2)))))/c**(3/11))**(34/7) assuming c is positive.
c**(1955/77)
Simplify c**7*(c/(c/(((((c*c**(3/26))/c)/c)/c)/c)))/c assuming c is positive.
c**(81/26)
Simplify y/y**(-2/3)*y*y*y/(y/y**(-10)) assuming y is positive.
y**(-19/3)
Simplify w**(1/3)*w/(w**(-3)/w*w) assuming w is positive.
w**(13/3)
Simplify j**14*j/(j/(j*j*j/j**(-19))) assuming j is positive.
j**36
Simplify (s**2/s*s*s**(2/7))**(-24) assuming s is positive.
s**(-384/7)
Simplify ((w*w**(-1/6))**(-3/4))**(11/7) assuming w is positive.
w**(-55/56)
Simplify (y*y**1)**28/(y**(-1)*y)**(-50) assuming y is positive.
y**56
Simplify (p*p*p**2)**(1/19)*p**(2/17)*p*p*p/(p*p**(-6)) assuming p is positive.
p**(2690/323)
Simplify (k**(-1/6)*k/k**(1/5)*k)/(k*k**(-7)*(k*(k**(-5/2)/k)/k)/k) assuming k is positive.
k**(182/15)
Simplify (c/(c*c**6)*c**(-5/2))/(c*c**(-1/2))**19 assuming c is positive.
c**(-18)
Simplify d**(-1/2)/d**6*d*d/(d*d*d**2*d)*(d/d**(4/7))/d assuming d is positive.
d**(-141/14)
Simplify ((w*(w/(w**(2/9)*w*w*w*w)*w)/w)/((w**(-6)*w)/w))/(w**(-6)/w*w/(w*w**(1/7)/w)) assuming w is positive.
w**(625/63)
Simplify ((x*x**3*x)/x**(2/5))/(((x*x**(-7))/x)/(x*x**(-3/2))) assuming x is positive.
x**(111/10)
Simplify (h/(h**(2/13)*h)*h*h**(-1/7)*h*h)/(h**4*h/(h/h**(1/2))) assuming h is positive.
h**(-327/182)
Simplify (l**(-6/13)*l*l)/l**32 assuming l is positive.
l**(-396/13)
Simplify ((p*p**(3/5)*p)/p**(-5/6))**(-8/7) assuming p is positive.
p**(-412/105)
Simplify (d**9*d*d**(-2/19))**(-17) assuming d is positive.
d**(-3196/19)
Simplify (s/(s**(-3)*s)*s**(2/3))/((s*s/s**(2/3))/s)**(-14/13) assuming s is positive.
s**(157/39)
Simplify ((f**(-4)/f)/((f**(3/5)*f)/f))**22 assuming f is positive.
f**(-616/5)
Simplify ((a/(a*a**(-9)))/a)/(a/(a*a/a**(1/5)*a))*a*a/a**(2/13)*a*((a*a**(-2/5))/a*a)/a*a assuming a is positive.
a**(861/65)
Simplify (a*(a/(a/a**(2/17)))/a)**(2/35) assuming a is positive.
a**(4/595)
Simplify (h/(h*h**26*h))**(-2/63) assuming h is positive.
h**(6/7)
Simplify g*(g*g*(g*(g/(g/g**(-22)))/g*g)/g*g*g)/g*g*g*g*g*g*g*g**(3/4)/g assuming g is positive.
g**(-49/4)
Simplify ((j*j**(-1))/j)**(-25)*(j**(2/7)/j*j)/j*((j**(1/9)/j)/j*j)/j assuming j is positive.
j**(1411/63)
Simplify (c**(-5)/c*c)/c**(-8/7) assuming c is positive.
c**(-27/7)
Simplify p**2/p*p*p/(p/p**10) assuming p is positive.
p**12
Simplify b**(1/4)/(b**(3/7)/b)*b**(-2)*b*b*b**(2/7) assuming b is positive.
b**(31/28)
Simplify (g/(g/g**(4/13)))/g*g*g*g*g/(g/g**(-2/7))*g assuming g is positive.
g**(275/91)
Simplify (d/((d/(d**(5/7)/d))/d))**(4/7) assuming d is positive.
d**(20/49)
Simplify (h**(-18/13)/h)/h*h*h/h**(-36) assuming h is positive.
h**(450/13)
Simplify (v**15*v*v*v**(2/3))**41 assuming v is positive.
v**(2173/3)
Simplify (z**(1/4))**26/((z*z**(2/3)*z)/(z*z**(-3))) assuming z is positive.
z**(11/6)
Simplify (z/z**(2/11)*((z*(z*((z*(z**(-7/6)*z)/z*z)/z)/z*z*z)/z*z)/z*z)/z)**(2/25) assuming z is positive.
z**(7/33)
Simplify f**20*f/f**(-2/9)*f assuming f is positive.
f**(200/9)
Simplify (g**16)**(-36) assuming g is positive.
g**(-576)
Simplify (d/d**(2/17))**(-1/4) assuming d is positive.
d**(-15/68)
Simplify (j/(j*j**1))**(-23/5)/(j**0)**32 assuming j is positive.
j**(23/5)
Simplify (v/v**(-4))**17 assuming v is positive.
v**85
Simplify (h/h**(-6)*h)**(-13) assuming h is positive.
h**(-104)
Simplify c**(-2/3)*c**1*c*c**(-1/4)/(c/c**4*c) assuming c is positive.
c**(37/12)
Simplify (x*x/x**(-1))**14/(x/x**(1/3))**(-15) assuming x is positive.
x**52
Simplify v**(20/7)/(v*v**25) assuming v is positive.
v**(-162/7)
Simplify (o**(2/9))**(-3/2)/(o**(1/5)*o*((o/(o*o**(-8)*o))/o)/o) assuming o is positive.
o**(-98/15)
Simplify (o*o**3)**(-42) assuming o is positive.
o**(-168)
Simplify (i**(3/8)/(i*i**(-11)/i))**(-16) assuming i is positive.
i**(-182)
Simplify ((p/p**(-12)*p)/p**(7/4))**(-22) assuming p is positive.
p**(-539/2)
Simplify s/(s/(s*(s/((s**(-14)/s)/s))/s))*s/(s**(-12)/s) assuming s is positive.
s**31
Simplify ((g**(-2/9)/g)**28)**38 assuming g is positive.
g**(-11704/9)
Simplify (((f*f**(-1/3))/f)/f)**(-6)*f*f/f**(-4)*f*f/f**(-1/8) assuming f is positive.
f**(129/8)
Simplify c/(c/c**(-2))*c*c**18 assuming c is positive.
c**17
Simplify ((z*z**(-1))/z*z/z**(-2/7)*z)**47 assuming z is positive.
z**(423/7)
Simplify (k**(1/9)*k*k*k*k*k*(k/(k/(k**(-4)*k)))/k)**(-13) assuming k is positive.
k**(-130/9)
Simplify (x**(2/7))**(-12/7)/(x**(-10)/x*x**(-3)) assuming x is positive.
x**(662/49)
Simplify (s*s*s**(-1/7)*s*s/s**(-2/15))**(-37) assuming s is positive.
s**(-15503/105)
Simplify (b/b**3*b*b*b*b*b**(-2))/(b*b*b*b/b**(2/29)*b*b*b**(-5)) assuming b is positive.
b**(-27/29)
Simplify (y**(-2))**(4/27)/((y/(y**(-1/3)/y*y)*y)/y**2) assuming y is positive.
y**(-17/27)
Simplify (t**26)**(14/11) assuming t is positive.
t**(364/11)
Simplify (c**(2/13))**(3/28) assuming c is positive.
c**(3/182)
Simplify ((f**(-2/7)/f)/f*f*f**6*f)**(6/5) assuming f is positive.
f**(48/7)
Simplify q**7*q*q**(-14) assuming q is positive.
q**(-6)
Simplify (t**(-3/5)/t**(5/6))**30 assuming t is positive.
t**(-43)
Simplify (l**(20/3)*l)/(l**10*l) assumi | {
"pile_set_name": "DM Mathematics"
} |
*4 - 2*f**4 + 0*f**4 + (-4*f**2 + f**2 + f**2)*(2 - 56*f + 56*f - 16*f**2).
29*f**4 - 4*f**2
Expand (-1 + 2 - 2)*(5*z**4 + 0*z**4 + z**4).
-6*z**4
Expand t**2 + 0*t + 0*t + (-2*t + 2*t + 2*t**2)*(-2 + 3 + 1) + 2*t**2 - 3*t**2 + 0*t**2 - 3*t + 2*t**2 + 3*t + (t + t - 4*t)*(-t + 0*t + 3*t).
2*t**2
Expand (4*w**4 + 0*w**4 - 3*w**4 + (-w**2 + 2*w**2 + 0*w**2)*(w**2 - w**2 + 2*w**2))*(39 + 15 - 1).
159*w**4
Expand 10*x + 4*x - 4*x + (-x - x + 3*x)*(4 - 2 - 1) + 5*x - 2*x - 5*x.
9*x
Expand -g + g + 3*g**5 + (4*g**3 - 5*g**3 - 2*g**3)*(0*g**2 - g**2 - g**2).
9*g**5
Expand ((-3*o**2 + o**2 + 0*o**2)*(-1 - 3 + 2) - 4*o - o**2 + 4*o)*(-4*o**3 + o**3 + 7*o**3).
12*o**5
Expand (j + 2*j - 4*j)*(-6*j**2 + 3*j**2 + 12*j**2).
-9*j**3
Expand (5*b - b - 5*b)*(-3*b**3 - 18*b**2 + 14*b**3 + 17*b**2) + b**3 - b**3 + b**4.
-10*b**4 + b**3
Expand (2*m**2 + m**2 - 5*m**2)*(4*m - 7*m + 0*m)*(-3 + 7 - 1)*(0 + 3 - 5).
-36*m**3
Expand (5 + 11*u**2 - 5)*((u - 3*u + 4*u)*(6 - 4 - 1) + u + u - 3*u - 9*u - 4 + 4).
-88*u**3
Expand (-5*o**5 + 4*o**5 + 2*o**5)*(-5 + 3 + 1)*(-1 + 23 - 2).
-20*o**5
Expand (4*p - 2*p - 4*p)*(-10 - 11 + 6)*(0*p + 0*p - 2*p).
-60*p**2
Expand (0 + 3 - 7)*(2*y + 3 - 3)*(4 + 4 + 0) + 3*y - 2*y - 3*y.
-66*y
Expand (3*d**2 - 4*d**2 + 3*d**2)*(86 - d**2 - 86 - 12*d**3).
-24*d**5 - 2*d**4
Expand (i**3 - 4*i**3 + 4*i**3)*(-1 + 1 - 2*i**2 + (-4*i + 0*i + 3*i)*(6 + 7*i - 6)).
-9*i**5
Expand (-x**2 + x**2 + x**2)*(3*x**2 + x**2 - 5*x**2) + 4*x**4 + 0*x**4 - 2*x**4 - 296 + 296 + 50*x**4.
51*x**4
Expand (1 + 0 - 2 + (-1 + 3 - 4)*(3 - 4 + 3) + 0 + 0 - 1 + 2 - 3 + 3 - 2 + 2 + 2)*(-3 - 1 + 3)*(c - 4*c**2 - c).
-8*c**2
Expand 3*b**2 - b**2 - 3*b**2 - 4 + 4 + 2*b**2 + (-3 + 3 + b)*(b - 2*b + 2*b) - 2 + 2*b**2 + 2 + 2*b**2 + 1 - 1 + 2*b**2 - 3*b**2 - 2*b**2.
3*b**2
Expand (-3 - 2*a + 3)*(-2*a**2 - a**2 + 5*a**2)*(-3 - 3 - 5).
44*a**3
Expand (-5*s - s + 3*s)*(2 + 4 - 1).
-15*s
Expand (-2 + 8*f + 2)*(1 - 1 - 1) + 3*f + 2*f - 6*f.
-9*f
Expand (0*p**2 + 0*p**2 + p**2)*(4 - 1 - 1) + 3*p - 3*p - 3*p**2.
-p**2
Expand (-1 + 1 + 4 + 1 - 6 + 3 + (-3 + 1 - 1)*(-1 + 6 - 2))*(-2*z**3 + 1 - 1).
14*z**3
Expand (-4 + 4 + 2*y)*(-y - 2 + 2 + 0*y - 3*y + 5*y + 3*y - 5*y + y + (4*y - 5*y + 3*y)*(2 + 2 - 7) + 3*y - 2*y + y).
-8*y**2
Expand (-5*f + 4*f + f**2 + 2*f + 2)*(-84 - 17*f + 84).
-17*f**3 - 17*f**2 - 34*f
Expand (-3 + 3 + v)*(4*v - 4*v - v**3) - 5*v**4 + 4*v**4 + 17*v**4 - 3*v**3 + 2*v**4 + 3*v**3.
17*v**4
Expand (r - 3*r - 6*r)*(0*r - 3*r + r)*(0 - 4*r + 0).
-64*r**3
Expand (0*c**2 + 0*c**2 - c**3 + 1)*(3*c**2 - 3*c**2 - 5*c**2) + (5*c**3 - 5*c**3 - 2*c**3)*(0*c**2 + 3*c**2 - c**2).
c**5 - 5*c**2
Expand 11*s**2 + 18*s**2 - 6*s**2 + (-5*s + 4*s + 3*s)*(0 + 0 + s).
25*s**2
Expand (2 - 3 + 3)*(2*c + 2*c + 2*c)*(1 - 4 + 2).
-12*c
Expand (0 + 4 - 2)*(-3*b + 3*b + b) - 3*b + 3*b + 2*b + b + 2*b + 10*b.
17*b
Expand 3*l**3 + l**3 - 6*l**3 + (-6*l**2 + 20*l - 20*l)*(-1 - l + 1) - l**3 - l**2 + l**2.
3*l**3
Expand -4*m**3 + 5*m**3 + 0*m**3 + (4*m + 2*m - 5*m)*(-3*m**2 - 2*m**2 + 2*m**2).
-2*m**3
Expand (-5 - 2 + 5)*(-p**3 - 2 + 2 - 5*p).
2*p**3 + 10*p
Expand (-4*h**3 + 5*h**3 - 3*h**3)*(3*h - 7*h - 2*h - 3*h - 4*h + 5*h + 2*h + 0 + 0 + (3 - 3 + 2*h)*(1 - 1 + 2) - 2*h + 1 - 1).
8*h**4
Expand (-g**2 + 0 + 0 + 4*g**2 - 2 + 2 + (-g + 2*g + 0*g)*(1 - 1 - 2*g))*(3 - 4 + 0).
-g**2
Expand (-5*r**3 + r**3 + 6*r**3)*((-1 + 2 + 0)*(3 - 2 + 0) + 1 - 2 + 3 + 1 + 1 - 4).
2*r**3
Expand (-4*n**2 + 4*n**2 + n**2 - n - 1)*(n**2 + 0*n**2 + 0*n**2).
n**4 - n**3 - n**2
Expand (4*z - z - z + (2 + 1 - 2)*(1 - z - 1))*(-z**3 - z**2 + z**2).
-z**4
Expand (-3 - 1 + 2)*(2*f + f - 2*f)*(-11 + 21 + 14).
-48*f
Expand (2 + 0 - 3)*(-3*l - 3*l**2 + 3*l) - 4*l**2 + 2*l**2 - 4*l**2.
-3*l**2
Expand -18 - 3*j + 6*j - 4*j + 4*j - 4*j + j + (-2 + 2 - 2*j)*(-4 + 1 + 4).
-2*j - 18
Expand (4*f - 2*f**5 - 4*f)*(7 - 13 + 3).
6*f**5
Expand (0 + 0 + 2*l)*(7 - 3 + 4)*(l**4 + 0*l + 0*l).
16*l**5
Expand (-10 - d**3 + 10)*(10*d + 11*d - 9*d)*(-2*d + 4*d + 0*d).
-24*d**5
Expand (-3*g**2 + g**3 + 4 - 4)*(-2*g - 4*g + 5*g).
-g**4 + 3*g**3
Expand (3 + 2*v - 3)*(-26*v**3 + 13*v**3 + 15*v**3).
4*v**4
Expand -2*u**3 + 0*u**3 + 4*u**3 + 4*u**3 - 2*u**3 - u**3 + 0 + u**3 + 0 + (0*u**2 + 5*u**2 - 3*u**2)*(0*u - 4*u + 6*u) - 27*u**3 - 4*u**2 + 15*u**3 + 14*u**3.
10*u**3 - 4*u**2
Expand (-2 + 2 + 2*n)*(-2*n**2 + 2*n**2 - 3*n**3) + (3*n**2 - 3*n**2 + 2*n**4)*(-4 + 4 + 1) + n + 2*n**4 - n - 2*n**4 + n**2 - n**2.
-4*n**4
Expand (5*n - 3*n + 2*n + (n - 2 + 2)*(-1 + 0 - 1) + (2 + 0 - 4)*(-n + 0 + 0))*(-3*n + 2*n + 3*n).
8*n**2
Expand ((3 + 3*c**2 - 3)*(-c**2 - 3*c**2 + 2*c**2) - 4*c**4 - 2*c**4 + 5*c**4)*(-2*c + 0 + 0)*(1 + 2 + 0).
42*c**5
Expand (-3 + 4 - 3)*(-2 - 4*j + 2)*(-2 + 0 + 3).
8*j
Expand 2*i + 1 + 2*i**2 + 4 - 7 + (-2*i + 4*i + 0*i)*(-4*i - 3*i + 5*i) + 0*i**2 + 2*i**2 + 0*i**2 - 2*i**2 + 2*i**2 - i**2.
-i**2 + 2*i - 2
Expand (4 - 2 - 1)*(-i**3 + 2*i**3 + i**3) + 5*i**3 - 4*i**3 - 2*i**3 - 4*i**3 - 3*i + 3*i.
-3*i**3
Expand (2 - 2 + v**4)*(3*v - 9*v - 13*v).
-19*v**5
Expand (-2*o - o + 2*o)*(2 - 1 - 5)*(4*o**4 + 5*o**4 - 5*o**4).
16*o**5
Expand 0*l - 2*l**2 + 0*l - 3*l**2 + 3*l**2 + 2*l**2 + (l**2 + 0*l**2 - 3*l**2)*(-2 - 1 + 1) - 7 + 15*l**2 + 7.
19*l**2
Expand 21 - l**5 + 635*l**4 - 635*l**4 + (3*l**2 + 0*l**2 - 2*l**2)*(-2*l**2 - 3*l**3 + 2*l**2).
-4*l**5 + 21
Expand (-4 + 0 + 5)*(1 + 0 + 1)*(-19 + 22 - 2*p + 19).
-4*p + 44
Expand (-4 + 3 + 6)*(-b**2 + b**2 + 5*b**2).
25*b**2
Expand (0*p**3 + 15*p**3 - 13*p**3)*(-2*p + 2*p - 3*p).
-6*p**4
Expand (2*k + 1 - 1)*(2*k**2 + 0*k**2 - 3*k**2) - 5*k + 4*k**3 - 8*k**3 - 2 + 5*k**3.
-k**3 - 5*k - 2
Expand (-k**3 + 5*k**3 + 0*k + 2*k)*(-4 + 2 + 1).
-4*k**3 - 2*k
Expand (-4 + 4 - 2)*(4 - 2 - 3)*(2 - 2 - 5*r**3 - 3*r**3 + 2*r**3 + 2*r**3 + (-2*r**2 + r - r)*(5 - 2*r - 5) + r**3 + 3*r - 3*r + 5*r**3 - 4*r**3 + 0*r**3).
4*r**3
Expand (2 - 4 + 6)*(-5*p**5 + 24*p**5 - 11*p**5).
32*p**5
Expand (-2*v**2 + v**2 - v**2)*(-25*v**2 + 10*v**2 + 16*v**2 + 6*v**3).
-12*v**5 - 2*v**4
Expand 4*v**4 - 4*v**4 - 2*v**4 + (2*v - v + v)*(v**3 + 2*v - 2*v) + 0*v**4 + v**4 - 7*v**4.
-6*v**4
Expand (-2 + 3 + 0)*(0 - 2*n + 0) - 4*n + 4*n - 2*n - 3 + 3*n + 3 + (2*n + 0*n + 0*n)*(3 + 0 - 2) + n + 0*n + 0*n.
2*n
Expand -2*c**4 - 2*c + 2*c + (3*c**2 - c**2 - c**2)*(3 - 2*c**2 - 3) + 5*c**3 - 17*c**3 - 3*c**4 + 2*c**4.
-5*c**4 - 12*c**3
Expand (-s + s - 2*s + (s - 1 + 1)*(-11 - 9 + 6))*(s + 0 + 0).
-16*s**2
Expand (-2*i + 2*i + 3*i + (2 + 3 - 1)*(3*i - 3*i - i))*(-1 + 1 + i).
-i**2
Expand (-5*o**2 + 3*o**2 - o**2)*(-12 - 4*o + 12).
12*o**3
Expand (4*a - 4*a - a)*(-a**2 - 5*a**2 + 0*a**2 + (3*a**2 - a**2 - 3*a**2)*(5 - 4 + 0) + 0*a**2 - a**2 + 0*a**2).
8*a**3
Expand (-5 + 2 + 2)*(-2*g**2 + g - g)*(-2 + 3 + 1)*(-1 + 1 + 3).
12*g**2
Expand (-t - t + 0*t)*(-2*t**4 + 2*t**2 - 2*t**2 - 3*t**4 - 2*t**4 + 4*t**4 + (-t**2 + t**2 - t**2)*(-2*t**2 + 5*t**2 - 2*t**2)).
8*t**5
Expand 5 + 0 + s**4 - 3 + (0*s + 3*s + 0*s)*(0*s**2 + 2*s**3 + 0*s**2) - 3*s**2 - s**4 + 3*s**2.
6*s**4 + 2
Expand (4*a**2 - a**2 - a**2)*(0 - 3 + 1 + (-2 + 4 - 3)*(10 + 1 - 16)).
6*a**2
Expand -24 - 9*h**5 + 24 + (-h + 4*h - h)*(-5*h - h**4 + 5*h) + 0*h**5 + 6*h**5 - 4*h**5.
-9*h**5
Expand (9*t + 18 - 19 + 17*t)*(-2*t + 3*t - 2*t).
-26*t**2 + t
Expand (-25*v - 28*v + 55*v)*(2 - 2 - v) + (0 + 3 - 4)*(v**2 + 3*v**2 - 3*v**2) - 2*v**2 + 5*v**2 - 4*v**2.
-4*v**2
Expand -3*r**5 - 91 + 2*r**5 + 90 + r**5 - 2*r**5 - r**5 + (0*r**5 + 0*r**5 + 2*r**5)*(-5 + 3 + 4).
r**5 - 1
Expand (3*f + 0*f + 5*f)*(3*f**2 + f**3 + f**2 - 2*f**2).
8*f**4 + 16*f**3
Expand c**2 + 1 + c**2 - 8*c**2 - 4 - c**2 + 4 + c**2 + c**2 - 3*c**2 + (0 + 0 - c)*(-c - 2*c + c) - c**2 + 5*c**2 - 3*c**2.
-5*c**2 + 1
Expand (-t - t + 3*t)*(2*t - 2*t + 2*t)*(0 + 1 - 4).
-6*t**2
Expand (-1 + 5 - 3)*((-p**3 + 0*p**3 + 2*p**3)*(-2*p**2 + 2*p**2 - p**2) + (0*p - p + 2*p)*(-p**3 + 2*p**4 + p**3) + 5*p**5 + 8*p - 8*p).
6*p**5
Expand (y**2 - 1 + 1)*(-2*y**3 + 0*y**2 + 0*y**2) + (0*y**2 + 0*y**2 - y**4)*(6*y - 2*y - 2*y) + y**5 - 3 + 3 + 2 - 2 - 3*y**5 - 3*y**5 + y**4 - y**4.
-9*y**5
Expand (-3*m**2 - m + m)*(0*m**2 + 0 + 2*m**2 + 1).
-6*m**4 - 3*m**2
Expand (2 - 1 - 8 - 6)*(9*z - 10 + 10).
-117*z
Expand 6*l**4 + l**4 - 3*l**4 + (-4*l**3 + 2*l**3 + 4*l**3)*(-2*l - 3*l + 4*l) + 2*l**2 + 4*l**4 - 3*l**3 + 3*l**3.
6*l**4 + | {
"pile_set_name": "DM Mathematics"
} |
-126166, -168239, -210312, -252385?
-294458
What is the next term in -5079891, -20319536, -45718939, -81278100, -126997019, -182875696?
-248914131
What is the next term in -6712, -1916, 11110, 36482, 78316?
140728
What is the next term in -322876, -1291497, -2905866, -5165983, -8071848, -11623461, -15820822?
-20663931
What comes next: 283478, 1133893, 2551250, 4535549, 7086790?
10204973
What is the next term in -43771, -87688, -131605, -175522?
-219439
What is the next term in 9180466, 9180470, 9180474, 9180478, 9180482, 9180486?
9180490
What is next in 29113, 31526, 33961, 36418?
38897
What is next in 648176, 1296464, 1944754, 2593046, 3241340?
3889636
What is the next term in 30512, 30341, 30170?
29999
What comes next: 1293, 9687, 32509, 76971, 150285, 259663, 412317, 615459?
876301
What comes next: -1113386, -4453524, -10020420, -17814074, -27834486, -40081656?
-54555584
What is the next term in 7404, 60696, 205352, 487056, 951492, 1644344, 2611296, 3898032?
5550236
What is next in -4905, -19571, -44017, -78237, -122225, -175975, -239481?
-312737
What comes next: 1101308, 1101318, 1101328, 1101338, 1101348, 1101358?
1101368
What is the next term in 33329, 33392, 33441, 33476?
33497
What is the next term in -49693, -99401, -149109, -198817?
-248525
What is the next term in 28683, 28710, 28761, 28848, 28983, 29178, 29445?
29796
What is the next term in 39168, 156825, 352920, 627453, 980424, 1411833?
1921680
What comes next: 23397, 45966, 67713, 88638, 108741, 128022?
146481
What comes next: -22084778, -22084757, -22084736?
-22084715
What comes next: 3, -95, -239, -429, -665, -947, -1275?
-1649
What is the next term in 7432016, 7432017, 7432018?
7432019
What is the next term in 2603, 3309, 4483, 6125, 8235?
10813
What is next in 323, 860, 1597, 2534, 3671, 5008, 6545?
8282
What comes next: 3660917, 14644568, 32950647, 58579148, 91530065?
131803392
What is next in 2390789, 2390754, 2390713, 2390666, 2390613, 2390554?
2390489
What is next in 22607, 22929, 23253, 23579, 23907, 24237, 24569?
24903
What is the next term in 10053, 10081, 10179, 10383, 10729?
11253
What comes next: -69353, -554352, -1870793, -4434398, -8660889, -14965988, -23765417?
-35474898
What comes next: -102306, -102273, -102190, -102033, -101778, -101401, -100878, -100185?
-99298
What is the next term in 1771899, 3543806, 5315715, 7087626, 8859539?
10631454
What comes next: 1482, 4507, 8646, 13893, 20242?
27687
What is the next term in 228217, 456416, 684603, 912778, 1140941, 1369092?
1597231
What comes next: -45301321, -90602658, -135903995, -181205332?
-226506669
What is the next term in 3023181, 3023187, 3023193, 3023199, 3023205?
3023211
What is the next term in -6185, -5923, -5661, -5399, -5137?
-4875
What comes next: 5710955, 5710953, 5710951, 5710949, 5710947, 5710945?
5710943
What is the next term in 2043376, 2043389, 2043416, 2043463, 2043536, 2043641, 2043784?
2043971
What comes next: 17793202, 35586405, 53379608, 71172811, 88966014, 106759217?
124552420
What comes next: -1108, -1139, -1196, -1279?
-1388
What is the next term in -31893, -63786, -95679, -127572?
-159465
What is the next term in -360233, -1440986, -3242241, -5763998?
-9006257
What is next in 7504, 14913, 22202, 29371, 36420?
43349
What is next in 5456, 21583, 48454, 86063, 134404, 193471, 263258?
343759
What is the next term in 15204, 14233, 13262?
12291
What is the next term in -8915, -35656, -80205, -142544, -222655, -320520, -436121?
-569440
What is the next term in 10250175, 10250164, 10250145, 10250118, 10250083, 10250040, 10249989?
10249930
What is next in 8162, 3026, -5534, -17518, -32926?
-51758
What is the next term in 59539, 59640, 59743, 59848, 59955?
60064
What is next in -3195598, -3195584, -3195570, -3195556?
-3195542
What is next in -2175, -2180, -2195, -2226, -2279, -2360?
-2475
What comes next: -7029154, -7029148, -7029138, -7029124?
-7029106
What is next in -577405, -1154813, -1732219, -2309623, -2887025, -3464425, -4041823?
-4619219
What comes next: -2025, -3116, -6071, -11820, -21293, -35420?
-55131
What comes next: 306, 4319, 16434, 41091, 82730, 145791, 234714, 353939?
507906
What is the next term in -257, -553, -849, -1139, -1417, -1677, -1913, -2119?
-2289
What comes next: -23118, -23111, -23104, -23097, -23090?
-23083
What is next in -5, -408, -1639, -4106, -8217?
-14380
What comes next: 4312, 17514, 39986, 72112, 114276, 166862, 230254?
304836
What comes next: 1936, 1822, 1568, 1174, 640?
-34
What comes next: -1933, -6726, -14373, -24874, -38229, -54438, -73501?
-95418
What comes next: 2694144, 2694146, 2694150, 2694156?
2694164
What is next in -17727, -15276, -12825?
-10374
What comes next: -6418826, -6418835, -6418844, -6418853, -6418862, -6418871?
-6418880
What comes next: 37715, 38139, 38563, 38987, 39411?
39835
What is next in 3286630, 6573227, 9859824, 13146421, 16433018, 19719615?
23006212
What comes next: -107608, -107673, -107858, -108223, -108828?
-109733
What comes next: -784319, -1568597, -2352825, -3136979, -3921035, -4704969, -5488757?
-6272375
What is next in -401233, -401233, -401235, -401239, -401245, -401253?
-401263
What is the next term in -2255, -5360, -9153, -13628, -18779, -24600, -31085?
-38228
What comes next: 1228, 2107, 2986, 3865?
4744
What is the next term in 11439653, 22879321, 34318989, 45758657, 57198325, 68637993?
80077661
What comes next: -534, 744, 4214, 10968, 22098?
38696
What is the next term in -4819, -19225, -43231, -76837?
-120043
What is next in 102430, 204930, 307430, 409930, 512430?
614930
What is the next term in 121254, 141343, 161446, 181569, 201718, 221899?
242118
What is the next term in -10064574, -20129147, -30193720, -40258293, -50322866, -60387439?
-70452012
What comes next: -11823996, -11824000, -11824004, -11824008, -11824012?
-11824016
What is next in -1712467, -1712454, -1712441, -1712428, -1712415?
-1712402
What is the next term in -17807, -35511, -53117, -70619, -88011, -105287?
-122441
What is the next term in -122143265, -244286526, -366429787, -488573048, -610716309?
-732859570
What is next in -334313764, -668627527, -1002941290?
-1337255053
What comes next: -3789, -1501, 4709, 16803, 36743, 66491?
108009
What is next in 7664, 35324, 81426, 145970, 228956, 330384, 450254?
588566
What is next in -1118, -4352, -9742, -17288, -26990, -38848, -52862?
-69032
What is next in 111446, 223089, 334730, 446369?
558006
What comes next: -27353, -109898, -247471, -440066, -687677, -990298, -1347923?
-1760546
What is the next term in 1657235, 6629356, 14916223, 26517836, 41434195?
59665300
What comes next: 1960070, 1960073, 1960078, 1960085, 1960094, 1960105, 1960118?
1960133
What is the next term in 295711, 591502, 887293?
1183084
What is the next term in 11723, 22560, 32509, 41570, 49743, 57028?
63425
What is the next term in -1125, -2295, -3743, -5613, -8049?
-11195
What comes next: 278016, 1112059, 2502126, 4448217, 6950332, 10008471?
13622634
What comes next: 250554, 500579, 750604?
1000629
What comes next: -2969, -11999, -27065, -48179, -75353, -108599, -147929, -193355?
-244889
What comes next: -15999, -31874, -47749, -63624, -79499?
-95374
What is the next term in 56578, 56504, 56380, 56206, 55982?
55708
What comes next: 108085, 106402, 104707, 102994, 101257, 99490, 97687?
95842
What is next in 55626024, 55626022, 55626020, 55626018, 55626016, 55626014?
55626012
What is next in 2951920, 2951921, 2951922, 2951923, 2951924, 2951925?
2951926
What is the next term in -34141, -61246, -81317, -94354, -100357?
-99326
What comes next: -19383199, -19383199, -19383201, -19383205?
-19383211
What is next in -8547, -13746, -18945, -24144, -29343, -34542?
-39741
What is next in 31763, 63569, 95377, 127181, 158975, 190753?
222509
What is next in 352, 1087, 2270, 3871, 5860?
8207
What comes next: -2727738, -2727694, -2727622, -2727522, -2727394, -2727238?
-2727054
What comes next: -841964, -841987, -842014, -842045, -842080, -842119?
-842162
What comes next: 673, 1559, 3991, 8743, 16589, 28303, 44659?
66431
What is the next term in 7233512, 7233513, 7233514?
7233515
What comes next: -1452, -1456, -1490, -1554, -1648, -1772?
-1926
What is the next term in 148839, 297689, 446553, 595431?
744323
What comes next: 40842844, 40842820, 40 | {
"pile_set_name": "DM Mathematics"
} |
11*h
Collect the terms in -2585*s**2 + 1355*s**2 + 1288*s**2.
58*s**2
Collect the terms in -121 + 109*d + 120 - 12*d + 80*d.
177*d - 1
Collect the terms in 22971*n + 23019*n - 46049*n.
-59*n
Collect the terms in 32782*m**2 + 32772*m**2 - 65563*m**2.
-9*m**2
Collect the terms in 15 + 14 - 314*s**2 - 29 - 134*s**2.
-448*s**2
Collect the terms in -50*u**2 + 7*u + 50*u**2 + 61*u**3.
61*u**3 + 7*u
Collect the terms in 177*c - 13647 + 27287 - 13642.
177*c - 2
Collect the terms in 631*b - 5 + 1 - 143*b + 4.
488*b
Collect the terms in 4*c + 10222246057 - 10222246057.
4*c
Collect the terms in 1106*z - 2232*z + 1124*z.
-2*z
Collect the terms in -3 - 66*w - 19*w**2 - 40*w + 4.
-19*w**2 - 106*w + 1
Collect the terms in 743*f - 383*f - 371*f.
-11*f
Collect the terms in 3859 + 164*w**2 - 1929 - 1930.
164*w**2
Collect the terms in 2305040151 - 2305040151 - 2*r.
-2*r
Collect the terms in -20*p + 44*p**3 + 93*p - 25*p**3 - 21*p**3.
-2*p**3 + 73*p
Collect the terms in 2089 - w**2 + 242*w**3 - 2089 + 127*w**3.
369*w**3 - w**2
Collect the terms in -2*r - 15517 + 15517 - 10*r.
-12*r
Collect the terms in -8*j**3 - 20*j**3 - 21 + 38 - 17 + 2*j**3.
-26*j**3
Collect the terms in -36*g + 3*g + 3 - 3 - 46*g.
-79*g
Collect the terms in -131*d - 76*d - 419*d + 28*d.
-598*d
Collect the terms in -35654*a + 10*a**2 + 35654*a + 10*a**2.
20*a**2
Collect the terms in 385*m**2 - 705*m**2 - 2444*m**2 + 79*m**2.
-2685*m**2
Collect the terms in -20*b + 0 - 1 - 21*b - 22*b + 62*b.
-b - 1
Collect the terms in -34516 + 34516 + 8*f**3.
8*f**3
Collect the terms in -3*t**2 + 22 - 20 - 2*t**2 + 38*t.
-5*t**2 + 38*t + 2
Collect the terms in -71419*x + 2*x**2 + 142845*x - 71426*x.
2*x**2
Collect the terms in -10*g**2 - 4322159 + 4322159.
-10*g**2
Collect the terms in -647*b + 586 - 586.
-647*b
Collect the terms in -100*x**2 + 261*x**2 - 82*x**2 - 80*x**2.
-x**2
Collect the terms in 13*f**2 - 17493*f + 8768*f + 8725*f.
13*f**2
Collect the terms in 5865240 - 5865240 - 366*d.
-366*d
Collect the terms in 6*b**3 + 10*b**3 + 9*b**3 - 32*b**3 + 10*b**3.
3*b**3
Collect the terms in 47 - 17 + 16 + 117 - 10*w**3.
-10*w**3 + 163
Collect the terms in 2424*w + 1920*w + 471*w - 153*w.
4662*w
Collect the terms in 34*l**2 - 34*l**2 + 11*l**3 + 8*l**3.
19*l**3
Collect the terms in 622*f - 622*f - 67*f**2 + 68*f**2.
f**2
Collect the terms in 1169 - 1169 + 985*m.
985*m
Collect the terms in -5*m**2 + 36*m**2 - 1436228*m + 1436236*m.
31*m**2 + 8*m
Collect the terms in -318821 + r**3 + r**3 + 318821.
2*r**3
Collect the terms in -7*l - 365 - 2*l + 362 + 0*l - 4*l.
-13*l - 3
Collect the terms in 11*i**3 + 879534*i**2 - 879534*i**2.
11*i**3
Collect the terms in -1 + 0 + 5 - 4 - 30877*j + 30880*j.
3*j
Collect the terms in -3240792*r - 34*r**3 + 3240792*r.
-34*r**3
Collect the terms in 73*t + 1 - 1 - 201*t + 71*t + 53*t.
-4*t
Collect the terms in -188997*w + 188997*w - w**2.
-w**2
Collect the terms in 6*p**3 - 365*p**2 + 7*p**3 - 291*p**2 + 656*p**2.
13*p**3
Collect the terms in 5*a + 8290454 - 16580910 + 8290456.
5*a
Collect the terms in -60*d - 60*d + d**3 - 11*d**3 + 120*d.
-10*d**3
Collect the terms in 208*a - 361*a + 187*a.
34*a
Collect the terms in 0*t + 0*t + 1489*t**2 - 867*t**2.
622*t**2
Collect the terms in 3 + 1055*x**3 - 913*x**3 - 3.
142*x**3
Collect the terms in 351 + 8*b**2 + 10*b**2 - 16*b**2 - 351.
2*b**2
Collect the terms in 59*f**2 - 109*f**2 - 2*f - 61*f**2.
-111*f**2 - 2*f
Collect the terms in 1448 - 1448 - 233*s + 227*s.
-6*s
Collect the terms in -847541*b + 11*b**2 + 847541*b.
11*b**2
Collect the terms in 0*u - 701501 + 701458 - u.
-u - 43
Collect the terms in 108*i - 10929*i**2 + 10932*i**2 - 111*i.
3*i**2 - 3*i
Collect the terms in 45679*d**3 - 91306*d**3 + 45675*d**3.
48*d**3
Collect the terms in -52*v - 306*v - 328*v + 2 - 2.
-686*v
Collect the terms in -22*f - 26885*f**2 + 43*f - 21*f.
-26885*f**2
Collect the terms in -1318*q**3 - 23*q + 51*q - 28*q.
-1318*q**3
Collect the terms in 2618 + 4*y - 5235 + 2618.
4*y + 1
Collect the terms in 1069*h**3 + 5605 - 5605.
1069*h**3
Collect the terms in 3*a + a + 1945*a**3 - 2*a.
1945*a**3 + 2*a
Collect the terms in 1924 - 978 - 946 + 20*v.
20*v
Collect the terms in 21*u + 107 - 52 + 2*u - 55.
23*u
Collect the terms in -34*o**3 - 37*o**3 - 31*o**3 + 127*o**3 - 34*o**3.
-9*o**3
Collect the terms in 1 + 43*d**3 + 63*d**3 - 13*d**3 - 78*d**3.
15*d**3 + 1
Collect the terms in -852*n**2 + 1706*n**2 + 2205*n**2.
3059*n**2
Collect the terms in 600*g**3 + 1 - 10 + 9.
600*g**3
Collect the terms in -7608*m**2 + 110 - 59 - 51.
-7608*m**2
Collect the terms in 4*r**3 - 95*r**3 + 205*r**3 + 88*r**3 + 696*r**3.
898*r**3
Collect the terms in -n**3 + 14321*n**2 + 14323*n**2 - 28644*n**2 + n - n.
-n**3
Collect the terms in -233*z - 149*z + 13*z - 8*z - 4.
-377*z - 4
Collect the terms in -544 + 37 - 2*d**3 - 2*d**3 + 507.
-4*d**3
Collect the terms in -27*g**3 - 622*g**2 + 1300*g**2 - 678*g**2.
-27*g**3
Collect the terms in -95*k**2 - 13*k**2 - 2*k + 0*k - 19*k**2 - 43*k**2.
-170*k**2 - 2*k
Collect the terms in -409*b**3 + 520*b**3 - 1332*b**3.
-1221*b**3
Collect the terms in -8653 + 17309 - 8645 + 2*s.
2*s + 11
Collect the terms in -2*b + 4*b + 28*b + 36*b**2 - 40*b**2 - 5*b.
-4*b**2 + 25*b
Collect the terms in -1407285*j**3 + 703644*j**3 + 703640*j**3.
-j**3
Collect the terms in 1712*t**3 - 820*t**3 - 895*t**3.
-3*t**3
Collect the terms in 9*y**3 + 5*y**3 - 83*y**3.
-69*y**3
Collect the terms in 147*b**2 + 42 + 145*b**2 - 585*b**2 + 139*b**2 + 153*b**2.
-b**2 + 42
Collect the terms in -61689*q**2 + 61689*q**2 + 79*q**3.
79*q**3
Collect the terms in 303 - 5 + 2*r**3 - 3*r**3.
-r**3 + 298
Collect the terms in -2*f - 153*f**2 + 47*f**2 + f + f + 101*f**2.
-5*f**2
Collect the terms in -20816 + 5204 - 2*a + 5206 + 5199 + 5207.
-2*a
Collect the terms in 7*a**2 + 128 - 74 - 66.
7*a**2 - 12
Collect the terms in 1906*m - 890*m - 1008*m.
8*m
Collect the terms in 21*i**2 - 213*i + 213*i - 9*i**2 + 4*i**2.
16*i**2
Collect the terms in 439*w + 278*w - 19 - 717*w - 8*w**2 + 19.
-8*w**2
Collect the terms in 1 + 498*t + 552*t - 366*t.
684*t + 1
Collect the terms in 5 - 2 - 2 + 6614*w - 6619*w + 3.
-5*w + 4
Collect the terms in -983*t**2 - t - 2*t - 993*t**2 + 1983*t**2.
7*t**2 - 3*t
Collect the terms in 327388*m - 327388*m - 11*m**2.
-11*m**2
Collect the terms in -1 - 4 + 210*z + 3 - 21 - 215*z.
-5*z - 23
Collect the terms in -128*x - 121*x - 157*x + 398*x.
-8*x
Collect the terms in 3*l**2 + 66*l - 174*l + 53*l + 54*l + 25*l**2.
28*l**2 - l
Collect the terms in 2169*t**2 - 2169*t**2 + 5438*t**3.
5438*t**3
Collect the terms in 57098*x**3 + 2*x - 2*x - 57103*x**3.
-5*x**3
Collect the terms in 9*t + 855*t**2 + 11*t + 7*t - 27*t.
855*t**2
Collect the terms in 1545 - 1005*s + 2*s**2 - 1545.
2*s**2 - 1005*s
Collect the terms in -160*g + 155*g + 1 + 343.
-5*g + 344
Collect the terms in -2 + 39*q - 38*q + 2 - 104*q.
-103*q
Collect the terms in -125*x**3 + 81*x**3 + 25*x**3 + 21*x**3.
2*x**3
Collect the terms in -69*t + 32*t - 15*t.
-52*t
Collect the terms in 120823344*x - 120823344*x + 15*x**2.
15*x**2
Collect the terms in -108*f + 412*f + 6*f**2 - 106*f - 105*f - 93*f.
6*f**2
Collect the terms in -256883732*n + 4*n**2 + 256883732*n.
4*n**2
Collect the terms in 13998 - 13998 - 2*o**3.
-2*o**3
Collect the terms in -1613*g - 1118*g + 169*g.
-2562*g
Collect the terms in 11*v**2 - 403 + 75 + 11*v**2 - 4*v**2.
18*v**2 - 328
Collect the terms in -25813*s - 25820*s + 51625*s.
-8*s
Collect the terms in 20 + 81*b**2 - 410*b**2 - 20.
-329*b**2
Collect the terms in 26*b**2 - 13*b**2 - 13*b**2 - 35*b**3.
-35*b**3
Collect the terms in 3247*k + 2667*k + 16485*k.
22399*k
Collect the terms in 32*b + 40*b**3 - 101*b + 34*b + 35*b.
40*b**3
Collect the terms in 12700 - 24*r**2 - 4264 - 4179 - 4257.
-24*r**2
Collect the terms in 33541*h**3 - 31 + 31.
33541*h**3
Collect the terms in 25*l**2 - 4*l**2 - 92*l + 93*l.
21*l**2 + l
Collect the terms in -4495*g + 9002*g - 4509*g + 20*g**2.
20*g**2 - 2*g
Collect the terms in -226*d - 1 - 174*d - 1.
-400*d - 2
Collect the terms in -84*i**2 + 85*i**2 + 6*i - 4*i + 6*i.
i**2 + 8*i
Collect the terms in 42*s**2 + 2*s**3 + 7398920 - 7398920 + 112*s**2.
2*s**3 + 154*s**2
Collect the terms in -22 + 352*a - 351*a - 2 - 23.
a - 47
Collect the terms in 20*u + 18*u + 17*u + 5277 | {
"pile_set_name": "DM Mathematics"
} |
be the third derivative of -3*x**4/8 - 13*x**3/6 - 7*x**2. Give y*q(k) + 6*b(k).
k - 1
Let v(s) = 27*s**2 + 1155*s - 36. Let k(m) = 5*m**2 + 228*m - 7. What is -11*k(h) + 2*v(h)?
-h**2 - 198*h + 5
Let s(c) = -15*c - 1. Suppose -24 = 4*y + 2*f, -4*y + 7*f = 12*f. Let o(d) = 30*d + 2. What is y*s(v) - 4*o(v)?
30*v + 2
Let w(x) = -2*x + 3. Let m = -36012 - -36010. Let k(y) = 2*y - 4. Calculate m*k(o) - 3*w(o).
2*o - 1
Let h(o) = -1439*o - 15. Let b(u) = 1343*u + 14. Let l(d) = -15*b(d) - 14*h(d). Let r(k) = k + 1. Suppose 4*c = 4*w, w + c - 12 = -c. Give w*r(m) - 3*l(m).
m + 4
Let k(a) = 6*a. Let d(z) = -6*z. Let y(x) = 2*x**3 - 40*x**2 + 71*x + 22. Let j be y(18). Calculate j*d(h) + 5*k(h).
6*h
Let q be (-1944)/(-648) - (0 - -2)/((-2)/(-2)). Let k(y) = -1. Let c(m) = -4*m - 2. Calculate q*c(b) + k(b).
-4*b - 3
Let u(w) = -1. Let n(l) = -1. Let i(c) = 2*n(c) - 3*u(c). Let o(v) = -v - 2. Let m be 387/903 - (-39)/7 - 8. Determine m*o(d) - 3*i(d).
2*d + 1
Let l(z) = z**3 + z. Let m be 804/198 - (-32)/(-528). Let k(s) = -17*s**3 + 4*s. Calculate m*l(w) - k(w).
21*w**3
Let p(r) = 14*r**2 - 324*r + 40. Let y be p(23). Let o(g) = -9*g + 1. Let d(t) = 9*t - 1. What is y*d(j) - 5*o(j)?
-9*j + 1
Let d(u) = 62*u + 2831. Let w(o) = 37*o + 1415. Calculate 3*d(i) - 5*w(i).
i + 1418
Let h be 15/3 + -5 + -28. Let j(g) = g**3 - g**2 - g - 1. Let x(q) = 28*q**2 - 36*q**3 + 3*q**3 + 33*q - 5*q + 3 + 25 - 2*q**3. Calculate h*j(p) - x(p).
7*p**3
Let r(u) = u + 1. Let t be 1856/288 + (-4)/9. Suppose 0 = -3*g + m + 4, g = m - t*m + 12. Let s(v) = 5*v - 2. Determine g*s(o) + 4*r(o).
14*o
Let b(d) = -11*d**2 + 17*d. Suppose 3*x - 9 = -7*t + 10*t, t - 3*x = 7. Let q(h) = -4*h**2 + 6*h. Determine t*q(w) + 3*b(w).
-w**2 + 3*w
Let n(s) = -10*s - 21. Suppose -13*v + 5*q = -16*v + 11, -5 = -2*v - q. Suppose 5*m - 14 - 41 = 0. Let j(y) = -3 + 2*y + 5 + 2. Calculate m*j(d) + v*n(d).
2*d + 2
Let f(h) = 62*h**3 + 3*h**2 + 3*h - 5. Let v(c) = 124*c**3 + 7*c**2 + 7*c - 13. What is 5*f(b) - 2*v(b)?
62*b**3 + b**2 + b + 1
Let t(z) = 5*z**2 + 9. Let o(i) be the first derivative of 5*i**3/3 + 10*i + 35. What is 5*o(g) - 6*t(g)?
-5*g**2 - 4
Let h(a) = -15*a**3 - 4*a**2 - 2*a - 37. Let v(t) = 15*t**3 + 4*t**2 + 3*t + 46. Calculate -5*h(w) - 4*v(w).
15*w**3 + 4*w**2 - 2*w + 1
Let g(j) be the third derivative of j**4/24 - j**3/2 - 2*j**2 - j - 617. Let w(p) = 1. Give -g(t) - 6*w(t).
-t - 3
Let i(y) = -60*y + 23655. Let x(l) = -11*l + 4730. Determine 2*i(t) - 11*x(t).
t - 4720
Let h(j) = -3*j**2 - 9*j. Let w(m) = 4*m**2 + 10*m. Suppose -5*p + s = -6*p - 505, -p - 4*s = 508. Let g = p - -511. Determine g*h(d) + 6*w(d).
3*d**2 - 3*d
Let o(v) = -3*v**3 - 2*v**2 + 3*v - 1. Let c(y) = -3*y**3 - 2*y**2 + 4*y - 2. Let z(s) = -34*s + 1533. Let b be z(45). Determine b*c(i) - 4*o(i).
3*i**3 + 2*i**2 - 2
Let h(d) = 22*d**2 - 13*d - 35157. Let f(n) = -5*n**2 + 3*n + 8789. Calculate 13*f(m) + 3*h(m).
m**2 + 8786
Let k(q) = -q**2 - 3. Let v(g) = -2*g**2 + g - 7. Let l = -143 - -146. Suppose 10 = 5*n, o + l*o = -3*n - 6. What is o*v(f) + 7*k(f)?
-f**2 - 3*f
Let m(z) = z**3 + z**2 - z. Let f = 20 + -14. Let w(a) be the first derivative of -2*a**4 - 2*a**3 + 3*a**2 + 29332. Calculate f*m(t) + w(t).
-2*t**3
Let p(n) = -148*n**2 - 12. Suppose 5*c = -25, -8*c = 3*q - 5*c + 30. Let a(t) = -59*t**2 - 5. Determine q*p(v) + 12*a(v).
32*v**2
Let c(k) = 533*k**2 - 9*k - 21. Let p(f) = -133*f**2 + 2*f + 5. Give -2*c(g) - 9*p(g).
131*g**2 - 3
Let t(i) = 3155*i**2 + 9465*i + 3155. Let u(j) = -3*j - 1. Determine t(v) + 3155*u(v).
3155*v**2
Suppose -6 - 29 = -2*g + 13. Let q(l) = -1. Let k(b) = -4*b + 24. Calculate g*q(i) + k(i).
-4*i
Let t(s) = 2*s**2 - 5*s**2 - s**2 - 11*s**3 + 4 - 5*s**2. Suppose 0 = -12*h - 5 - 44 + 1. Let u(x) = -5*x**3 - 4*x**2 + 2. Give h*t(d) + 9*u(d).
-d**3 + 2
Let k(b) = -b - 3. Let r(j) = 2*j + 8. Let n = 62 - 43. Suppose -3*g = -n + 4. Suppose -6 = -h - g*y + 17, -4*h + 5*y + 17 = 0. Calculate h*k(o) + 3*r(o).
-2*o
Let i(v) = -5*v**3 + 22*v**2 + 2. Let s = 2171 - 2175. Let t(n) = -9*n**3 + 45*n**2 + 3. Give s*t(z) + 7*i(z).
z**3 - 26*z**2 + 2
Let m(t) = 679*t**3 + 11*t**2 + 6*t. Let f(r) = -3394*r**3 - 52*r**2 - 28*r. What is -3*f(y) - 14*m(y)?
676*y**3 + 2*y**2
Let x(c) = c**2 - c - 32. Let p(l) = l + 12. Let n(v) = 8*p(v) + 3*x(v). Let u(s) = 7*s**2 + 9*s. Determine -5*n(t) + 2*u(t).
-t**2 - 7*t
Let p(u) = -2*u**3 - 3*u**2 + 1. Let w(l) be the first derivative of 5*l**4/4 + 7*l**3/3 - 3*l + 2267. Give -7*p(d) - 3*w(d).
-d**3 + 2
Let v(s) = 15*s - 2*s**3 + 11*s - 29*s - 1446*s**2 + 1446*s**2. Let u(i) = -2*i**3 - 4*i. Let k(z) = -z**3 - 5*z**2 - 3. Let w be k(-5). Give w*u(n) + 4*v(n).
-2*n**3
Let t(b) = -11*b**3 - 113*b**2 - 35*b - 14. Let g be t(-10). Let o(a) = 189*a**3 + 36*a**2 - 36. Let h(n) = 27*n**3 + 5*n**2 - 5. Calculate g*h(l) - 5*o(l).
27*l**3
Let c(o) = 1. Let m(k) = k. Let f(d) = 4*d. Let p(j) = -2*f(j) + 9*m(j). Suppose -114 + 46 = 34*v. Give v*p(n) - c(n).
-2*n - 1
Let s(a) = a**2 - 47. Let z be s(7). Let u(w) = -24*w**2 - 2*w + 35*w**2 - 6*w - 2*w + z*w. Let d(p) = 7*p**2 - 5*p. Calculate -8*d(l) + 5*u(l).
-l**2
Let j(d) = -2*d**3 + 24*d**2 + 7*d - 1251. Let t(a) = 6*a**3 - 69*a**2 - 20*a + 3753. Determine 17*j(k) + 6*t(k).
2*k**3 - 6*k**2 - k + 1251
Let r(l) = 102*l**2 + l - 8. Let h(s) = 51*s**2 + s - 3. Let f(x) = -5*h(x) + 3*r(x). Let u(b) = 77*b**2 - 3*b - 13. What is -7*f(w) + 5*u(w)?
28*w**2 - w - 2
Let l(j) = -4*j**2 - 2*j - 5. Let m(k) = -k**2 - k - 1. Suppose -5*n + 4*x = 29, 5*x + 10 = 2*n + 42. Calculate n*l(h) + 2*m(h).
2*h**2 + 3
Let i(d) = 38*d**2 - 3. Let c(b) = -956*b**2 + 60*b + 76. Let r(y) = -21033*y**2 + 1330*y + 1672. Let u(t) = -133*c(t) + 6*r(t). What is -76*i(x) + 3*u(x)?
-38*x**2
Let m(a) = 5*a**3 + 50*a**2 + a - 19. Let p(i) = -4*i**3 - 35*i**2 - i + 13. Determine 5*m(g) + 7*p(g).
-3*g**3 + 5*g**2 - 2*g - 4
Let n(u) = 9*u**2 - 376*u + 4. Let m(f) = -21*f**2 + 751*f - 9. Determine 4*m(d) + 9*n(d).
-3*d**2 - 380*d
Let w(c) = c**2 - c - 7. Let d be w(0). Let t(j) = 25815 - 25815 - 7*j**3. Let a(n) = 15*n**3. Calculate d*t(b) - 3*a(b).
4*b**3
Let j(m) = 2*m**2 + 2*m - 1. Let u(b) = -49*b**2 - 6*b + 8. Calculate 3*j(r) + u(r).
-43*r**2 + 5
Let u(g) = -283*g - 6. Let l(b) = -284*b - 6. Calculate -3*l(m) + 4*u(m).
-280*m - 6
Let y(w) = -26*w**3 + 43*w**2 - 15*w + 5. Let v(m) = 7*m**3 + m**2 - 1. Determine -4*v(a) - y(a).
-2*a**3 - 47*a**2 + 15*a - 1
Let v(f) = f**2 + 89*f - 24. Let n(p) = -2*p**2 - 86*p + 28. Give -6*n(b) - 7*v(b).
5*b**2 - 107*b
Let r(b) = 5*b + 1. Let a(q) = 5*q + 1. Let k(p) = -9*p + 75. Let j be k(9). Let o = 302 + -295. What is j*a(f) + o*r(f)?
5*f + 1
Let l(p) = -p. Suppose 0*w = 2*w + 18. Let d = -7 - w. Let o(h) = -7*h + 1. Let q(t) = 11*t - 2. Let z(y) = -3*o(y) - 2*q(y). What is d*l(s) + 2*z(s)?
-4*s + 2
Let o(d) = -273*d - 2. Let b(t) = 548*t + 4. Determine 6*b(j) + 13*o(j).
-261*j - 2
Let t(k) = -4*k + 4. Let v(f) = 22*f + 3750. Give -6*t(o) - v(o).
2*o - 3774
Let y(r) = -2*r. Let b(w) = -1259*w + 1. What is b(i) + 5*y(i)?
-1269*i + 1
Let c(u) = 23*u + 4. Suppose 49*y - 31*y - 25 = 43*y. Let d(z) = z - 1. Calculate y*c(f) - 4*d(f).
-27*f
Let a(g) = 52*g**2 - 149*g - 10. Let z(p) = -18*p**2 + 48*p + 3. Give 8*a(j) + 25*z(j).
-34*j**2 + 8*j - 5
Suppose 4*p + 3*v = -0*v + 8, -3*v + 12 = 0. Let m(d) = -70*d + 196*d - 65*d - 62*d. Let b(z) = -2*z - 5*z + 3 - z. Calculate p*b(c) + 6*m(c).
2*c - 3
Let v(h) = 102*h + 12 - 2 - 94*h. Let m(n) = -n + 1. Calculate -8*m(d) + v(d).
16*d + 2
Suppose -2*k + 7*y = 2*y - 19, 0 = -3*k + 5*y + 21. Let w(m) = -21*m**2 + 52*m**k - 2 - 15*m**2 - 8*m**2. Let h(n) = -57*n**2 + 15. Calculate -2*h(b) - 15*w(b).
-6*b**2
Let w(a) = -a**2 + a + 1. Let k(x) = 4*x**2 - 5*x - 54. Let f be ((-2)/12)/((-5)/60) - -3. What is f*w(t) + k(t)?
-t**2 - 49
Let g(f) = f**3 + f**2 - f - 1. Let j(b) = -5*b**2 + 2*b. Suppose -174 = 5*v - 8*z - 201, 13 = -v - 3*z. What is v*j(u) - g(u)?
-u**3 + 4*u**2 - u + 1
Let c(s) = -2*s. Let a(p) = -7*p. Suppose -9 + 1065 = -4*n + 2*d, -n = -2*d + 270. Let r = 240 + n. What is r*c(q) + 6*a(q)?
2*q
Let b(n) = -n**3 - 10*n**2 + 17*n - 80. Let h be b(-12). Let l(i) = -9*i. Let z(p) = 1 - 37*p - 1 + 2*p. Give h*z(m) - 15*l(m).
-5*m
Let c(t) = -3*t + 1. Suppose -3*y + 11 = -4*i, 5*i + | {
"pile_set_name": "DM Mathematics"
} |
v?
-148*v
Suppose -3*g + 51 = 5*y - 22, 3*g - 61 = y. Find the first derivative of -g + 32 - 47 + 89*n**2 wrt n.
178*n
Let z(w) be the third derivative of 0*w**6 + 0 + 11/48*w**8 + 0*w**7 - 70*w**2 + 0*w + 0*w**4 + 29/60*w**5 + 0*w**3. Find the third derivative of z(j) wrt j.
4620*j**2
Suppose 62*q + 25 = 67*q. What is the first derivative of q*p**2 - 4*p**3 - 7*p**2 + 0*p**3 - 14 + 0*p**2 wrt p?
-12*p**2 - 4*p
Let u = -39 - -42. Suppose -l = -u + 1, -z + l = -23. Differentiate -15*h + 20*h**2 + 1 + z*h - 10*h with respect to h.
40*h
Suppose 0 = -14*x + 37 + 19. Find the second derivative of 5 - 8*h**5 + 1570*h**2 + h**x - 4*h - 1570*h**2 wrt h.
-160*h**3 + 12*h**2
Let h(v) = -520*v**2 + 8*v - 1901. Let m(s) = -173*s**2 + 2*s - 633. Let q(o) = -2*h(o) + 7*m(o). Differentiate q(k) with respect to k.
-342*k - 2
Let a(s) be the second derivative of -21*s**4 - 2*s**3/3 + 169*s**2 - 1711*s. Find the second derivative of a(h) wrt h.
-504
Suppose 4 = 3*a + 5*o + 43, 0 = a + 3*o + 13. Let y = a - -16. What is the derivative of -16*t**y - 1028*t - 6 + 1028*t wrt t?
-48*t**2
Let f(b) be the first derivative of 21*b**4/4 + 25*b**2 + 81*b - 82. Let l(h) be the first derivative of f(h). Find the first derivative of l(c) wrt c.
126*c
Let g = -6 - 97. Let f = g + 109. What is the third derivative of -3*m**2 + 43*m - 43*m + 7*m**2 + f*m**6 wrt m?
720*m**3
Suppose -288 = -17*j - 15*j. Find the second derivative of -j*x**2 - 120*x - 47*x**4 + 7*x**2 + 206*x**4 - 53*x wrt x.
1908*x**2 - 4
Suppose -3*k - 2*s = -s - 11, -7 = k + 3*s. Suppose -g + 8 = k. What is the third derivative of 26*p**6 + 11*p**6 - g*p**6 - 2*p**2 + 4*p**2 wrt p?
4080*p**3
Let t(q) be the first derivative of 189*q**4/4 + 2*q**3/3 + 617*q**2/2 - q + 552. What is the second derivative of t(z) wrt z?
1134*z + 4
Let j(b) = 19*b**2 - 3*b - 3. Let m be j(-1). Suppose -18*v = -m*v + 2. What is the third derivative of 11*z**2 + 3*z**v - 17*z**6 - 4*z**2 + 7*z**2 wrt z?
-2040*z**3
Let m(z) = -z**2 + 6*z - 1. Let l(b) = -5226*b**2 + 58*b - 72. Let s(y) = l(y) - 8*m(y). Find the second derivative of s(i) wrt i.
-10436
What is the third derivative of 212*o - 333*o**3 + 0*o**2 + 519*o**3 + o**2 + 485*o**3 - 2*o**2 wrt o?
4026
Let j(l) be the third derivative of 80 - 3*l**2 + 173/120*l**6 + 1/3*l**4 - 1/30*l**5 + 0*l + 0*l**3. What is the third derivative of j(k) wrt k?
1038
Let f be ((-12)/10)/(-1) - (-8)/10. Find the third derivative of -396*c**2 - 4*c + 243*c**5 + 142*c**f + 4*c wrt c.
14580*c**2
Let c = -60 - -88. Let t = -25 + c. What is the third derivative of 5*m**t + 15*m**2 - 5*m**3 + 17*m**4 - 5*m**4 wrt m?
288*m
Suppose 25*k = 19*k + 12. Find the third derivative of k*n**6 + 78*n**6 - 3*n**6 - 35*n**2 wrt n.
9240*n**3
Let t(r) be the first derivative of r**5/5 + 10*r**3/3 + 5138*r**2 - 6111. What is the second derivative of t(o) wrt o?
12*o**2 + 20
Suppose -4*p = -0 - 4. Let d = 541 + -534. Differentiate -8*b + 1 - p - 6 - d with respect to b.
-8
Let x be 100/26 + (48/(-52))/(-6). Suppose -x*f + 122 = -382. Find the second derivative of 2*t - 4*t - 137*t**3 + f*t**3 wrt t.
-66*t
Suppose -45 - 153 = -6*t. What is the second derivative of -47*x - 43*x**2 - 29*x**2 + t*x**2 wrt x?
-78
Let f(s) = 24*s - 76. Let x be f(4). What is the second derivative of x*u + 16*u + 26*u + 71*u**2 + 3 - 3 wrt u?
142
Suppose 0 = -19*c + 26*c - 42. Find the second derivative of -75*w**2 + 86*w + c*w**2 + 90*w wrt w.
-138
Let q be 18/(-90) + (-111)/(-5). Suppose -7*z - q = -9*z. What is the second derivative of -6 + 6 - z*f + 21*f**2 wrt f?
42
Suppose 306 = 2*m + 2*s, 3*m - 3*s - 630 = -171. What is the second derivative of 37527*k**2 + 136*k + m*k**4 - 37527*k**2 wrt k?
1836*k**2
Let d(z) be the first derivative of z**5/5 + 352*z**4 - 2*z**3/3 + 2031*z - 5256. What is the third derivative of d(i) wrt i?
24*i + 8448
Find the third derivative of -1002*c**2 + 1526*c**4 + c**3 - 2*c**3 + 0*c**3 - 1241*c**4 wrt c.
6840*c - 6
Find the second derivative of 1745*n**4 + 4692*n - 2*n**2 - 13623 + 6808 + 6815 wrt n.
20940*n**2 - 4
Let b(g) = -3*g - 47. Let k be b(-17). Let j be (-2)/6*(-11 + 11). Find the second derivative of -x - 5*x**5 - k*x + j*x wrt x.
-100*x**3
Let y be (196/(-8) - 3)*(-16)/5. Suppose f = -2*f - 4*v + y, -92 = -4*f + v. Find the third derivative of 25*j**2 - 17*j**3 + f*j**3 - 12*j**3 wrt j.
-30
Let p = 277 + -274. Find the second derivative of -39*c - 49*c**3 - 55*c**3 + 105*c + 155*c**p wrt c.
306*c
Suppose 3*u - 45 + 18 = 0. Suppose 0 = 2*h + 5*y - 19, u*h - 4*h = -5*y + 25. What is the second derivative of h*c - 7*c - 16*c**2 - 3*c wrt c?
-32
Let r(z) be the third derivative of 1509*z**7/70 - 10*z**4/3 - z**3/3 + 46*z**2 - 22. What is the second derivative of r(i) wrt i?
54324*i**2
Let t(z) = 1. Let g(x) = 21*x**3 - 9. Suppose -4*c = 72 - 272. Let q = 49 - c. Let f(l) = q*g(l) - 18*t(l). Find the first derivative of f(h) wrt h.
-63*h**2
Suppose 0 = 4*p - p - 4*p. Let u be (p - 4)*(-9)/18. Find the third derivative of 1684*y**5 + 5*y**2 - 16*y**u - 1690*y**5 wrt y.
-360*y**2
Find the third derivative of -c**4 - 461*c**2 - 19*c**4 + 12*c**3 - 14*c**3 - 12*c**3 + 13*c**3 wrt c.
-480*c - 6
Let p(c) be the first derivative of 71/2*c**2 - 11 - 79*c. What is the first derivative of p(q) wrt q?
71
Let n(q) be the first derivative of -q**2/2 + 749*q + 1685. Differentiate n(c) wrt c.
-1
Let b(o) be the second derivative of -o**6/15 - 487*o**5/20 + o**4/6 + 13*o**3/6 - 9*o**2/2 + 2406*o. What is the second derivative of b(w) wrt w?
-24*w**2 - 2922*w + 4
Find the second derivative of 160 + 103 + 457*o**3 + 3*o + 359*o**3 + 2*o + 187*o**3 wrt o.
6018*o
Let a(s) be the second derivative of 4581*s**6/10 + 7*s**4/12 - s**3/3 - 130*s**2 + 14052*s. What is the third derivative of a(g) wrt g?
329832*g
Let d(o) = -11*o - 13. Suppose 2*g + 3*g = -4*c - 36, 0 = -c + 5*g - 9. Let p be d(c). What is the first derivative of p*j**3 - 148*j**3 + 73*j**3 + 2 wrt j?
33*j**2
Find the first derivative of -839 - 10*b - 54*b**3 + 18*b**3 - 6*b + 474 - 810 wrt b.
-108*b**2 - 16
Find the second derivative of -251 - 211 + 250*n**3 - 935 - 18*n**2 - 2*n + 125 - 538 wrt n.
1500*n - 36
Let w = -190 - -193. What is the second derivative of -90*s**w + 3*s - 2*s - 25 + 10*s**3 - 54 wrt s?
-480*s
Let z(k) be the first derivative of 165*k**7/7 - k**5/5 + 2*k**3/3 + 2211*k + 1541. Find the third derivative of z(o) wrt o.
19800*o**3 - 24*o
Find the first derivative of 63 + 1326*v + 1242*v - 596*v + 137 wrt v.
1972
Let v(g) be the first derivative of -47/3*g**3 + 0*g**4 + 0*g**2 + 180 + 2*g**5 + 0*g. What is the third derivative of v(r) wrt r?
240*r
Suppose 2*a + n - 2 = 27, 5*n = -5*a + 85. Let k be (4/(-8) + 2)/(9/a). Find the second derivative of -5*m - 5*m**3 + k*m - 4*m - 6*m wrt m.
-30*m
Find the second derivative of -219*x**3 - 183*x**3 + 2*x - 289*x**3 + 1572 + 561*x**3 wrt x.
-780*x
Find the second derivative of -768*t**2 + 2134*t**3 + 768*t**2 - 6848*t**3 + 3734*t wrt t.
-28284*t
Let g(m) be the first derivative of 2102*m**4 - 14591*m**3/3 + 8001. Find the third derivative of g(x) wrt x.
50448
What is the second derivative of 187*r + 87*r + 116*r**4 + 82*r + 49*r + 47*r wrt r?
1392*r**2
Suppose 3*b + 5*t = 51, 5*b + 0*b - 51 = 3*t. Suppose -b = 4*x - 36. What is the third derivative of -x*j**3 + 18*j**3 + 740*j**2 - 755*j**2 wrt j?
72
Suppose 4*s + 604 = 3*q, 3*q = -3*s - 30 + 606. Differentiate -354*g**4 + 226*g**4 - 161 + q*g**4 wrt g.
272*g**3
Let y(x) be the third derivative of 391*x**6/6 + x**5/60 + 174*x**3 - 1011*x**2 + x. What is the third derivative of y(d) wrt d?
46920
Find the second derivative of 60 - 708*a**2 - 123 + 77 + 137 + a wrt a.
-1416
Let f(w) = 3*w**3 + 273*w + 1746. Let g(p) = -p + 4. Let a(j) = -f(j) - 15*g(j). What is the first derivative of a(m) wrt m?
-9*m**2 - 258
Suppose -2*r + 9 = -25. Find the third derivative of 79 - 149 + 79 - 90*j**6 - 3*j**2 + r*j**6 wrt j.
-8760*j**3
Suppose 6*h = -h + 28. What is the third derivative of 88*d**2 - 1 - 215*d**2 + d**h + 1 + 5*d**5 wrt d?
300*d**2 + 24*d
Let k(g) be the third derivative of -797*g**5/30 - g**4/12 + 4045*g**3/3 - 8653*g**2. What is the derivative of k(v) wrt v?
-3188*v - 2
Let g(v) be the first derivative of -4212*v**7/7 + 502*v**3 + 3*v**2/2 + 601. | {
"pile_set_name": "DM Mathematics"
} |
qbbuussf. What is prob of picking 1 q and 1 u?
1/14
Three letters picked without replacement from hhhhkhhkkkhkhkkh. Give prob of picking 3 h.
3/20
Four letters picked without replacement from dddd. What is prob of picking 4 d?
1
What is prob of picking 2 p and 1 h when three letters picked without replacement from {m: 2, h: 7, p: 4, u: 1, c: 3}?
21/340
Two letters picked without replacement from {m: 16, d: 4}. Give prob of picking 2 m.
12/19
Four letters picked without replacement from xomom. Give prob of picking 2 o, 1 x, and 1 m.
2/5
Four letters picked without replacement from {c: 5, u: 3, m: 9, g: 1}. Give prob of picking 1 g and 3 m.
7/255
Three letters picked without replacement from {t: 6, d: 7}. What is prob of picking 1 d and 2 t?
105/286
Three letters picked without replacement from {u: 3, w: 2, h: 11, y: 3}. What is prob of picking 2 u and 1 y?
3/323
Calculate prob of picking 3 o when three letters picked without replacement from {y: 1, u: 1, h: 4, o: 5}.
2/33
Calculate prob of picking 2 r when two letters picked without replacement from yyrrlyypy.
1/36
Calculate prob of picking 1 e, 2 k, and 1 z when four letters picked without replacement from zeezbkzkzkbkzubzzbe.
21/646
Calculate prob of picking 1 y, 2 e, and 1 d when four letters picked without replacement from ydwwddedeyyeywwewyew.
40/969
Four letters picked without replacement from gggummmmgggggum. Give prob of picking 4 g.
2/39
Calculate prob of picking 1 i and 3 y when four letters picked without replacement from yyyyyyyyyiyyyyy.
4/15
Calculate prob of picking 1 c, 1 z, and 1 b when three letters picked without replacement from cobzp.
1/10
Three letters picked without replacement from {a: 2, b: 12, n: 1, g: 2, f: 1}. What is prob of picking 2 b and 1 f?
11/136
What is prob of picking 2 c and 1 u when three letters picked without replacement from {f: 1, y: 3, c: 3, u: 6, k: 1}?
9/182
Two letters picked without replacement from {h: 6, l: 4, k: 4}. What is prob of picking 1 l and 1 h?
24/91
What is prob of picking 1 a and 1 t when two letters picked without replacement from {e: 2, t: 2, a: 2, v: 3}?
1/9
Two letters picked without replacement from njqjrjrqrrqqrqrrqqnq. What is prob of picking 1 r and 1 j?
21/190
Two letters picked without replacement from {a: 1, v: 2, u: 1, z: 3, y: 3}. Give prob of picking 1 y and 1 a.
1/15
Four letters picked without replacement from oyooyooyyyoooo. What is prob of picking 3 o and 1 y?
60/143
Two letters picked without replacement from skk. Give prob of picking 1 k and 1 s.
2/3
Three letters picked without replacement from gvggvgvg. Give prob of picking 3 v.
1/56
Two letters picked without replacement from ixiiiixxxiiiuiixxxii. Give prob of picking 1 u and 1 x.
7/190
Four letters picked without replacement from {l: 1, v: 2, o: 2, a: 1, c: 2}. What is prob of picking 1 v, 1 a, and 2 o?
1/35
Three letters picked without replacement from {j: 6, h: 2, m: 1, a: 4, q: 2}. Give prob of picking 2 j and 1 a.
12/91
Two letters picked without replacement from bkbvvkbvkvv. What is prob of picking 1 v and 1 b?
3/11
Calculate prob of picking 3 z when three letters picked without replacement from {z: 7, b: 12}.
35/969
What is prob of picking 2 b when two letters picked without replacement from {b: 7}?
1
What is prob of picking 1 t and 1 s when two letters picked without replacement from {j: 3, s: 1, r: 1, t: 7, f: 2}?
1/13
Two letters picked without replacement from {c: 1, e: 3, v: 2, o: 3, x: 4, q: 4}. Give prob of picking 1 o and 1 x.
3/34
Three letters picked without replacement from bbbccbbbdbbddbbbbcb. What is prob of picking 1 c and 2 d?
3/323
Three letters picked without replacement from ffffxxxfxf. Give prob of picking 3 f.
1/6
Four letters picked without replacement from {t: 6, u: 13}. Give prob of picking 2 u and 2 t.
195/646
Calculate prob of picking 1 w, 1 g, and 1 m when three letters picked without replacement from {w: 1, g: 3, m: 5}.
5/28
Calculate prob of picking 1 z and 2 y when three letters picked without replacement from lyzyyyynllzzl.
15/143
Calculate prob of picking 3 i when three letters picked without replacement from {q: 5, x: 1, i: 10, g: 4}.
2/19
Three letters picked without replacement from zbbbh. Give prob of picking 3 b.
1/10
Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, p: 1, h: 1, b: 1, l: 2, s: 1}.
1/21
Two letters picked without replacement from mxmzzqwmm. What is prob of picking 2 q?
0
Four letters picked without replacement from {d: 9, p: 6, b: 2}. Give prob of picking 3 d and 1 b.
6/85
Two letters picked without replacement from htvh. What is prob of picking 1 t and 1 h?
1/3
Calculate prob of picking 2 b when two letters picked without replacement from {k: 2, b: 10, s: 3, t: 5}.
9/38
What is prob of picking 1 a and 3 y when four letters picked without replacement from {a: 4, w: 5, y: 7}?
1/13
Two letters picked without replacement from onbhzzhbnccnchn. What is prob of picking 1 b and 1 c?
2/35
Three letters picked without replacement from {a: 7, g: 6, e: 6}. What is prob of picking 3 e?
20/969
Two letters picked without replacement from eez. Give prob of picking 1 z and 1 e.
2/3
What is prob of picking 1 z and 1 y when two letters picked without replacement from yycsyzyyyzgcgyzyysy?
10/57
Calculate prob of picking 2 n when two letters picked without replacement from nbabnanna.
1/6
Calculate prob of picking 1 d and 3 v when four letters picked without replacement from {h: 8, e: 2, d: 2, v: 3}.
2/1365
Three letters picked without replacement from uuuiuuuuuuuiuuuuuu. Give prob of picking 3 u.
35/51
Two letters picked without replacement from hhttnq. Give prob of picking 1 n and 1 q.
1/15
Four letters picked without replacement from {o: 3, a: 7}. Give prob of picking 2 o and 2 a.
3/10
Four letters picked without replacement from aacaacaaaaacaaacaa. What is prob of picking 2 a and 2 c?
91/510
Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, n: 1, s: 1, y: 4, m: 1, f: 2}.
1/22
Calculate prob of picking 3 i when three letters picked without replacement from ienneninniini.
5/143
Three letters picked without replacement from {y: 7, s: 5, b: 1, u: 5}. What is prob of picking 1 s and 2 y?
35/272
Four letters picked without replacement from ihihhhhhhhi. Give prob of picking 2 h and 2 i.
14/55
Calculate prob of picking 1 f and 1 g when two letters picked without replacement from rffrfgrgrggffgfffr.
40/153
Calculate prob of picking 1 q and 2 f when three letters picked without replacement from qqfqfqqfqqq.
8/55
What is prob of picking 2 e when two letters picked without replacement from hcppppphcpzwecpce?
1/136
Two letters picked without replacement from vyzspqpypyyzqp. Give prob of picking 1 p and 1 v.
4/91
Calculate prob of picking 2 v, 1 j, and 1 k when four letters picked without replacement from {v: 3, i: 2, s: 1, k: 5, j: 3, o: 1}.
3/91
Two letters picked without replacement from {y: 6, e: 3, m: 2, q: 1, s: 4, p: 2}. What is prob of picking 1 e and 1 m?
2/51
Four letters picked without replacement from bbvqvbqqrbrrbnbbvqb. Give prob of picking 1 b and 3 v.
2/969
What is prob of picking 1 r, 1 f, and 1 k when three letters picked without replacement from bihfhbrkfbirif?
3/182
Calculate prob of picking 1 j, 1 a, and 2 u when four letters picked without replacement from auuuuuauuuuauuju.
99/910
Three letters picked without replacement from qkqkkk. Give prob of picking 3 q.
0
Calculate prob of picking 2 j, 1 u, and 1 r when four letters picked without replacement from urjrjujjujujr.
36/143
Calculate prob of picking 2 q when two letters picked without replacement from qqlqlqq.
10/21
Two letters picked without replacement from {u: 2, d: 8}. What is prob of picking 2 d?
28/45
Three letters picked without replacement from djjjddjjdjdddddj. Give prob of picking 1 d and 2 j.
27/80
What is prob of picking 1 s and 2 c when three letters picked without replacement from {s: 11, c: 3}?
33/364
Calculate prob of picking 2 b and 1 r when three letters picked without replacement from bxxbxrxrxxx.
2/165
Two letters picked without replacement from yppyyyyyylypyyyylpp. What is prob of picking 2 y?
22/57
Calculate prob of picking 1 h, 1 k, and 1 i when three lette | {
"pile_set_name": "DM Mathematics"
} |
2*q) - 12*q - 7*q + 5*q) to the form f*q**3 + c + z*q**4 + w*q + i*q**2 and give z.
24
Rearrange (q**2 + 0 + 0)*(2 - 2 + 2 + (2 - 2 - 1)*(-3 + 0 + 5) + 0 - 1 + 0) to the form w + f*q**2 + h*q and give w.
0
Rearrange -16*t**2 - 18 - 2*t**2 + 20 to g + q*t**2 + s*t and give q.
-18
Express 4*q**2 - 5 + 2*q**2 - 5*q**2 - 4*q**2 in the form x + d*q**2 + m*q and give x.
-5
Express (3 - 4 + 0)*(-12*a**2 + 3*a**2 + 2*a + 6*a**2) as k*a**2 + s*a + n and give k.
3
Express -67 + 0*n + 4*n**2 + 66 + n**4 - n as r + y*n**2 + k*n**4 + d*n + c*n**3 and give d.
-1
Rearrange -3*f**3 + f**3 - 10 - 2*f + 3 + 0*f**3 to m + j*f**3 + q*f + s*f**2 and give m.
-7
Express -49 + l**2 + 17 + 5 in the form u + m*l**2 + f*l and give m.
1
Express (-2*a - 1 + 1)*(4*a + 0*a - 3*a) - 34*a**2 - 140 + 140 in the form g*a**2 + k + s*a and give g.
-36
Rearrange (0*t**2 + 0*t**2 + t**2)*(3 - 5 + 3) + (2*t + t - t)*(4 - 4 + t) to r*t + v + y*t**2 and give y.
3
Rearrange (0*z + 2*z**2 + 0*z)*(31 + 50 - 15) to c + k*z + t*z**2 and give t.
132
Express 2*n**2 - 3 + 9 - 5 + 3*n**2 as k*n**2 + d*n + u and give u.
1
Rearrange -16*v - 1 + 85 - 9 + 17*v to f + i*v and give i.
1
Express (2*y + 0 + 0)*(-y + 2*y + 2*y) + 5*y - 8*y - y**2 - 2*y**2 in the form w*y**2 + c*y + q and give q.
0
Express -r**4 + r + 42*r**3 + r**2 - 77*r**3 + 37*r**3 in the form s*r**4 + h*r**2 + b + f*r**3 + l*r and give b.
0
Rearrange (6*d + 0*d - 4*d)*(-d + 0 + 0) + 4*d**2 - 3*d**2 + 0*d**2 + 3*d**2 + 0*d**2 - 4*d**2 + 4*d**2 + 7*d**2 - 2*d**2 to r + h*d**2 + g*d and give h.
7
Rearrange (0*c - 8*c - 6*c)*(2 + 3 - 2) to x + b*c and give b.
-42
Rearrange -u - 5*u + u - 8*u to the form n*u + y and give n.
-13
Express 107 + 3*c - 107 as k + z*c and give z.
3
Rearrange 74*z + 141*z - 28*z to the form i*z + m and give i.
187
Rearrange 116*g**2 + 69*g**2 - 130*g**2 to the form w*g**2 + x*g + v and give w.
55
Express -2*b**3 + 7*b + 0*b**3 - 1 + 0*b**3 as m*b**2 + i*b + s*b**3 + a and give a.
-1
Rearrange (0*c**2 + 0*c**2 + 2*c**3)*(-c + 0*c - 2*c + (-9 - 3 + 7)*(c - 3*c + 0*c)) + 2*c**4 - c**4 - 2*c**4 to w + r*c**2 + u*c**4 + l*c + s*c**3 and give u.
13
Rearrange (4 + 2 - 4)*(0*d - d**2 + 0*d) - 3*d**2 - 3*d**2 + d**2 to the form j*d + m + r*d**2 and give r.
-7
Rearrange 0 - 8 + 4*l + 6 + 8*l**2 to m + u*l**2 + i*l and give u.
8
Express 3 + 2*o + 13 + 0 as z + y*o and give y.
2
Express (-1 + 15*q**2 - q - 12*q**2 - q)*(1 - 1 - 1) as s*q**2 + a*q + i and give a.
2
Express 0*f**4 + 5*f**2 - 3*f**4 + 3 + f**4 - 3*f**2 + 2*f**3 as s*f + p*f**4 + u*f**3 + l + g*f**2 and give p.
-2
Rearrange 2 + 6*u**4 + 133*u + 2*u**2 - 133*u + u**3 to the form l*u**4 + a*u**2 + b*u + k*u**3 + r and give a.
2
Rearrange 35*d - 36*d - 1 + 0 - 6*d**3 - 2 to y*d**2 + o*d**3 + v + n*d and give n.
-1
Express (-6 + 2 + 3)*(5*n**2 - 5*n**2 - n**2) + 3 - 3 + 2*n**2 + n - 29*n**2 + 15*n**2 - 12*n**2 as q + h*n + p*n**2 and give p.
-23
Express -30*j - 45*j + 14*j in the form u + l*j and give l.
-61
Express 2*z**2 - z**4 - 2*z**2 - 4*z + 4*z - 2*z**4 + (-2 + 0 + 4)*(7*z**3 - 7*z**3 + 4*z**4) as o*z**4 + p*z**2 + j*z + q*z**3 + y and give o.
5
Express (-2 + 6*t + 7 - 4)*(t**2 - t**2 - 3*t**2) as a*t + r + d*t**3 + k*t**2 and give d.
-18
Rearrange -1 - 41*n + 2 + 35*n to r*n + j and give j.
1
Rearrange (0*f**2 + 2*f**2 + f**2)*(9*f - 5*f - 7*f)*(0 + 3 - 1) to the form n + m*f + o*f**3 + d*f**2 and give o.
-18
Express (-5 + 4*f + 5)*(-4 + 0*f + 2 - 2*f) + (-3*f**2 + 3*f**2 + 2*f**2)*(-17 - 5 + 36) as k*f + l + w*f**2 and give w.
20
Rearrange (-24 + 6 - 10)*(z + 0*z + 0*z) + (3 - 2 + 0)*(3 - 3 + z) + (-1 + 2 - 2)*(-z + 6*z - 3*z) to w*z + p and give w.
-29
Rearrange -4 - 6 - 69*g**2 + 10 to the form v*g**2 + u*g + a and give a.
0
Express -w**4 + 2*w + 0*w**4 + 15 + 3*w**3 - 17 in the form h*w**4 + a*w**2 + n + k*w**3 + i*w and give i.
2
Rearrange 7*n + 9*n - 17*n + (-1 + 1 + 2)*(-5*n - 3*n + n) to h + y*n and give y.
-15
Rearrange (-5*c - 11*c + 2*c)*(0*c**2 - 4 + 5 + 2*c**2) to the form z*c**3 + s*c + d*c**2 + v and give z.
-28
Express (0 + 0 - 6)*(-5*k**2 + 8*k - 8*k) as o*k**2 + y*k + n and give o.
30
Express (2 + 5 - 3)*(5 + 1 + 2*v - 4*v) as r + k*v and give k.
-8
Express 3 + 44*i - 3 - i as a + o*i and give a.
0
Express 5*o**2 + 0*o**2 + o - 3*o**2 as c*o**2 + n + y*o and give y.
1
Express -u**2 - 11*u - 3 + 17*u + 3 in the form h*u**2 + s + d*u and give d.
6
Rearrange (23*t - 7*t + 19*t)*(-2 + 0 + 1) to l*t + y and give l.
-35
Rearrange 6*y**4 + 1 + y**3 + 0*y - 3*y**2 + 0*y - 8*y**4 to h*y**4 + f + u*y + c*y**3 + s*y**2 and give h.
-2
Express -j**4 - 11*j**3 - 5*j - 7*j**3 + 4 + 7*j + 19*j**3 as m*j**3 + o*j**2 + a + r*j**4 + s*j and give r.
-1
Rearrange 112*f**2 - 202*f**2 + 101*f**2 to the form n + m*f + c*f**2 and give c.
11
Rearrange -5*c**2 - c**3 - 9 - 2*c**3 + 16 - 6 to the form y + q*c**3 + z*c + r*c**2 and give y.
1
Express 6 + n - n**2 - 6 + n - n + 2*n**2 + (4*n - n - 2*n)*(-3 + n + 3) + 2*n**2 - 3 + 3 in the form a*n + f*n**2 + c and give a.
1
Rearrange (-4 - 9 + 5)*(3*a**2 + 3*a + a - 7*a) to g*a**2 + b + t*a and give g.
-24
Express (-2 + 6 - 3)*(-50 + 2*t + t + 42) in the form s*t + c and give s.
3
Rearrange (2 + 2 - 7)*(1 - 6 + 5*h + 3) to s*h + p and give p.
6
Express 1 - 7*n**4 + 9*n**4 - 2*n + n**3 - 2*n**3 as j + f*n**3 + p*n**2 + g*n**4 + v*n and give g.
2
Express (2*h**3 + h**3 + 0*h**3)*(25 - 23 + 11) in the form m + l*h**2 + p*h + g*h**3 and give g.
39
Express (3 - 3 - 2)*(8*q**4 - 27 + 27) + 4*q**4 + 3*q**4 - 5*q**4 as f*q**4 + x*q**2 + c + m*q**3 + d*q and give f.
-14
Rearrange -5*t + 5*t - 6*t**2 + 1 - 1 + 2*t**2 + (4*t + t - 4*t)*(-t + 4*t - t) to h*t + l + s*t**2 and give s.
-2
Express 10 + 3*w**4 + w - 7*w**4 - 8 + 2*w**2 as d*w**4 + h*w**2 + x*w + j + l*w**3 and give h.
2
Express (18*r**2 - 25*r**2 - 7 + 11*r**2)*(-3*r - r + 2*r) as t*r + h*r**2 + s*r**3 + g and give s.
-8
Rearrange (-1 + 1 - n)*(0 - 2 + 1)*(-5 + 4 + 4)*(2*n**2 + n**2 - n**2) to q*n**2 + t + w*n**3 + l*n and give w.
6
Express (-3*t + 4*t - 2*t)*(0 + 3 + 1) + (5 - 1 - 3)*(2 - 2 - 2*t) as r + c*t and give r.
0
Rearrange -2*z**2 + 9*z - 2*z**2 + 2*z**2 - 1 + 4*z**2 to b*z**2 + s + k*z and give s.
-1
Express -3*u + 13 - 13 - 4*u in the form l + v*u and give v.
-7
Express -6*x - 2 - 2*x**3 + x**2 + 7*x + 2 as d + f*x + a*x**3 + m*x**2 and give f.
1
Rearrange 15*y + 3 - 3 + 0*y to the form i*y + w and give i.
15
Express 1 + 3 + 3 + 5 + k**3 in the form c*k**3 + v + j*k + g*k**2 and give g.
0
Express 13 + w**2 - 13 as t + h*w + v*w**2 and give v.
1
Rearrange -19*w**4 + 7*w - 8*w + 4*w**4 + 2 to the form i*w + v*w**3 + p*w**4 + b*w**2 + s and give s.
2
Express -4*a**2 + 4*a**4 + a**3 - 16 + 15 - 2*a - a**4 + 6*a**2 in the form j*a**4 + h*a**3 + k + r*a + m*a**2 and give h.
1
Express x**4 - 26*x - 22*x + 43*x + 2 in the form s*x**4 + z*x + v + c*x**2 + m*x**3 and give z.
-5
Express -4 + 3 - 1 + v + (3 - 4 + 3)*(-v - 3*v + 3*v) - 6*v - v + v as q*v + d and give q.
-7
Express 8*f + 4*f - 5*f + f as l + s*f and give s.
8
Rearrange 77*z**2 - 77*z**2 - 33*z**3 + 4*z**3 + 0*z**3 - 2*z**3 + (-3*z + 2*z + 0*z)*(z**2 + 5*z - 5*z) to the form v*z**2 + b*z + i*z**3 + m and give i.
-32
Rearrange -10 - 13 + 25 - 3*o**3 to x + t*o**3 + g*o + u*o**2 and give t.
-3
Rearrange (3*v - 4*v + 3*v)*(v - v - v)*(-5*v + 0*v - 10*v)*(-1 - 1 + 3) to the form r + x*v**3 + k*v + d*v**2 and give x.
30
Rearrange (19*w**2 - 15*w**2 - 8*w**2)*(-w**2 - 2*w**2 + 2*w**2 + (-w - 3*w + 2*w)*(-2 - w + 2)) to f*w**4 + s*w**3 + l*w**2 + j*w + k and give f.
-4
Rearrange 26*o - o - 6*o to the form p*o + m and give m.
0
Rearrange (0*b - 4*b + 2*b)*(8 + 4 - 5) to the form h*b + s and give h.
-14
Rearrange (-3 + 4*y**2 + 3)*(y**2 + 12 - 12) + (4 - 4 - 2*y**2)*(y**2 - y**2 - y**2) to the form b*y**3 + a + v*y**4 + k*y + o*y**2 and give v.
6
Express (-5 + 4 + 5)*(-3 + 3 - 1)*(k**4 - 103*k**4 + 20*k**4) as w*k + n*k**4 + b*k**3 + m*k**2 + t and give n.
328
Express -73*n + 40*n + 32*n - 12*n**2 as o + d*n + m*n**2 and give d.
-1
Rearrange 0*i - 20*i**2 + 15*i**2 - i - 64*i**2 to the form f + x*i**2 + v*i and give x.
-69
Express -4*y + 14*y**3 - y**4 - 3*y + 5*y as a + d*y**4 + v*y + t*y**2 + s*y**3 and give d.
-1
Rearrange 413*y**3 - 8*y**2 + y**4 - 2 - 413*y**3 to o*y + m*y**2 + v*y**4 + w + q*y**3 and gi | {
"pile_set_name": "DM Mathematics"
} |
847)*-5 - sqrt(847)) + sqrt(847) + -2 + sqrt(847) - sqrt(847))**2 + 4).
176*sqrt(7) + 13560
Simplify -3 + (sqrt(52)/(sqrt(8)/sqrt(2)))**2 - (((sqrt(130)*2 - sqrt(130)) + sqrt(130))/sqrt(10) + (sqrt(91)*-2)/sqrt(7)).
10
Simplify ((sqrt(110) - -2*sqrt(110))/sqrt(10) + sqrt(33)/(sqrt(3)*-1 + sqrt(3) + sqrt(3)))*-6 + -5.
-24*sqrt(11) - 5
Simplify (4*((2*sqrt(500) - sqrt(500))*6 - sqrt(500)))**2 + (0 + -2 + sqrt(500))**2 + (1 + sqrt(500))*1.
-30*sqrt(5) + 200505
Simplify (1 + (-2*sqrt(637) + -2 - sqrt(637) - sqrt(637)) + 6*(0 + sqrt(637)))**2*-4.
-10196 + 112*sqrt(13)
Simplify (4 + (sqrt(832)*-1)**2 + 2)*4.
3352
Simplify 4 + ((sqrt(3) + 0 + sqrt(3))**2 - sqrt(3)) + -4 - (-1 + 0 + (sqrt(3) - sqrt(9)/sqrt(3))**2).
-sqrt(3) + 13
Simplify (sqrt(136) + (sqrt(136)*2 + sqrt(136))*3 + sqrt(136))/((sqrt(96)*1)/sqrt(12)) - (-1 + -1 + sqrt(153) + sqrt(153) + (sqrt(153) + 0)*-5)**2.
-1381 - 25*sqrt(17)
Simplify (sqrt(400) + (sqrt(400) - (sqrt(400)*1 - sqrt(400)) - sqrt(400))*1)/(sqrt(16)/(sqrt(2) + (sqrt(32) - sqrt(2)) + sqrt(2)))*-4.
-100*sqrt(2)
Simplify ((1 + (5*(sqrt(700) + -1) - sqrt(700)))**2 - ((sqrt(700) - (sqrt(700) - (-2*sqrt(700) + 0 - sqrt(700)))**2) + sqrt(700)*-2 + 4)) + 1.
-310*sqrt(7) + 22413
Simplify 4 + (0 + (1*sqrt(243)*-6 + sqrt(243) + 6*(sqrt(243)*2 - sqrt(243)))*-2)**2.
976
Simplify 0 + -4 + (((sqrt(126) + sqrt(126)*1 + sqrt(126))/sqrt(6))/(sqrt(6)/sqrt(2)*-4))**2 + 1.
15/16
Simplify ((-1*sqrt(52)*-4*5)/((sqrt(180)/(1*sqrt(5)))/sqrt(9)))**2.
5200
Simplify -3*(((sqrt(196) + -1*sqrt(196) + sqrt(196))*4)/(((sqrt(98) - sqrt(98)*1) + sqrt(98))*-4))**2.
-6
Simplify ((-5 + -2 + sqrt(272))**2 - (sqrt(272)*2 + ((sqrt(68)*1)**2 - sqrt(68))))*3*-1.
-759 + 186*sqrt(17)
Simplify (0 + (sqrt(343) - (sqrt(343) + sqrt(343)*-2)**2))*-2 + (sqrt(343) + 1 + -2 - (3*-2*sqrt(343) - sqrt(343))).
42*sqrt(7) + 685
Simplify ((sqrt(76) - (sqrt(76)*1 + sqrt(76) - sqrt(76) - sqrt(76)) - sqrt(76))*-1)/((sqrt(40)*-2)/sqrt(10)).
0
Simplify (sqrt(204)*1*-2)/(sqrt(24)/(sqrt(2)*3))*-2.
12*sqrt(17)
Simplify -1*((sqrt(1872)*-2)**2 + 2 - 6*sqrt(26)/sqrt(2)*3)*6.
-44940 + 108*sqrt(13)
Simplify 1 + (-3*sqrt(125))**2 + 2 + (sqrt(125) - -3*-1*sqrt(125) - sqrt(125))**2.
2253
Simplify ((sqrt(275) - 1*sqrt(275)*4 - sqrt(275))/sqrt(5))/(3*sqrt(176)*-5).
sqrt(5)/15
Simplify sqrt(275)*2 + 0 + (sqrt(11)*2)**2 - (sqrt(110) - 4*(sqrt(110) + sqrt(110)*2))/(sqrt(160)*-3).
109*sqrt(11)/12 + 44
Simplify (4*(0 + -4 + sqrt(1584)*2))**2.
-3072*sqrt(11) + 101632
Simplify 4 + 2*(sqrt(9)/sqrt(3) + -4) + 1.
-3 + 2*sqrt(3)
Simplify (sqrt(24) - ((sqrt(240) - (sqrt(240) - -1*sqrt(240) - sqrt(240))) + sqrt(240))/sqrt(10))/(-6*(sqrt(8) + (sqrt(8) - sqrt(32)/sqrt(4))))*1.
0
Simplify -4*(0 + (-1 + (sqrt(5) + 0 + -5 + sqrt(800)/sqrt(10))**2)*-4).
-800*sqrt(5) + 2384
Simplify 0 + ((sqrt(432))**2 + 1 + sqrt(147) - sqrt(12)/(2*sqrt(36))).
41*sqrt(3)/6 + 433
Simplify (-5*(sqrt(7) + (sqrt(112))**2) - (sqrt(7) - (sqrt(7)*1*-4)**2)) + (sqrt(7) - (-2*sqrt(1008))**2) + -5.
-4485 - 5*sqrt(7)
Simplify ((sqrt(325) + -1)*-5 - (-3*sqrt(637) + sqrt(637) + 0))**2.
-110*sqrt(13) + 1598
Simplify -4*(sqrt(1053)*2)**2 + sqrt(1053) + sqrt(1053) + -4 + 1 + -2.
-16853 + 18*sqrt(13)
Simplify (sqrt(360)/sqrt(144))/sqrt(8) - (sqrt(20)*1 - sqrt(20)/(-2*sqrt(4) - sqrt(4)))**2.
-245/9 + sqrt(5)/4
Simplify -5*(1 + -3*(-2 + 2*sqrt(192) + sqrt(192))*-2).
-720*sqrt(3) + 55
Simplify 2 + ((sqrt(612)*-3 + sqrt(612) + 3)*-3)**2.
-648*sqrt(17) + 22115
Simplify 3*(-3*(4 + sqrt(17) + 0) + sqrt(170)/(sqrt(30)/(sqrt(3)*-2))).
-15*sqrt(17) - 36
Simplify (((sqrt(170) - (sqrt(170) - ((sqrt(170) + 1*sqrt(170) - sqrt(170)) + sqrt(170))*-1)) + sqrt(170) + sqrt(170))/(sqrt(40) + sqrt(120)/sqrt(3))*2)**2.
0
Simplify (-4*(4*sqrt(132)*-2)/(-1*sqrt(48)))**2.
2816
Simplify ((sqrt(320) - ((sqrt(320) - (sqrt(320) + 3 + sqrt(320))) + -3)) + -1 + 2*sqrt(320) + 1)**2.
384*sqrt(5) + 5156
Simplify 6*(5 + 1*sqrt(11)*4 + (sqrt(176) + -5 - sqrt(11)))**2*1.
3234
Simplify (4*-2*4*(sqrt(567) + 2 + sqrt(567) + sqrt(567) - sqrt(567))*-6 + 3)**2.
2674944*sqrt(7) + 83757321
Simplify (1*(sqrt(891)*-1 + -3 + -4) + 3)**2.
72*sqrt(11) + 907
Simplify (3 + -4*(sqrt(19) + -1)**2)*-6 + 1 + (-1 + sqrt(19))*6*1.
-42*sqrt(19) + 457
Simplify ((sqrt(84) - (sqrt(84) - -5*(sqrt(84) + -3*sqrt(84))))/sqrt(6))/((sqrt(700) + (sqrt(700)*-3 - sqrt(700)))*-1 + sqrt(700) - sqrt(700)).
sqrt(2)/3
Simplify (-6*2*sqrt(77))/(sqrt(567)*4 + sqrt(7)) + 2.
-12*sqrt(11)/37 + 2
Simplify ((3 + sqrt(200))**2 + 2 - (sqrt(200) - (4*sqrt(200) + 3)))*-4.
-856 - 360*sqrt(2)
Simplify ((sqrt(572)*2*5 - sqrt(572))/sqrt(11))/(sqrt(4)*1*6*-5).
-3*sqrt(13)/10
Simplify (-1 + ((sqrt(252) + sqrt(252) + -1*sqrt(252) + -1)*-6 - (sqrt(252) + sqrt(252) + sqrt(252) + sqrt(252)*2 + 3 + sqrt(252) + -1 + sqrt(252) + -1)))**2.
-624*sqrt(7) + 42604
Simplify ((sqrt(28)/sqrt(4)*4 - -2*sqrt(7)*-2) + sqrt(700) + (sqrt(700) - (sqrt(700) + 1 - sqrt(700))) + 1 + 1)**2.
40*sqrt(7) + 2801
Simplify 4 + 3 + -5 + ((sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300) - -2*sqrt(1300))) - sqrt(1300))*6)**2.
46802
Simplify 3*(-5 + 5*(5*((sqrt(11) - sqrt(176)) + 1))**2).
-2250*sqrt(11) + 37485
Simplify (sqrt(125)/sqrt(5)*-4 + sqrt(25))/((3*sqrt(30))/sqrt(6)).
-sqrt(5)
Simplify ((sqrt(7)*1)**2 + -4 - (sqrt(343)*-3)**2)*-1.
3084
Simplify (4*(sqrt(243) + 4*sqrt(243) + 4 + 5) + 2)**2.
13680*sqrt(3) + 98644
Simplify (1*(-2 + sqrt(180) + 4))**2*2.
48*sqrt(5) + 368
Simplify ((4*1*sqrt(1134) + sqrt(1134) + sqrt(1134))/(sqrt(700)*-1*1))**2.
1458/25
Simplify ((5*(3 + sqrt(891)) - sqrt(891))**2 - (sqrt(176)/(sqrt(8) + sqrt(32)))/sqrt(2))*6.
6478*sqrt(11) + 86886
Simplify (3 + 1 + sqrt(6300) + sqrt(6300))**2 - (-2 + sqrt(63) + -1 - (5 + 1*sqrt(63))).
480*sqrt(7) + 25224
Simplify (-2 + -1 + sqrt(245) + sqrt(245) + -3 + (sqrt(245) - (1 + sqrt(245) + -1)) + -5)**2.
-308*sqrt(5) + 1101
Simplify (sqrt(612) + 4)*4 - (4 + sqrt(17) + -4 + -3).
19 + 23*sqrt(17)
Simplify ((-2*sqrt(78)*-3 + (sqrt(78) - ((sqrt(78)*-2 - sqrt(78) - sqrt(78)) + sqrt(78)))*-1 + sqrt(78))/((sqrt(216) - sqrt(216)*-1) + sqrt(384)*-2))**2.
117/16
Simplify (3*(-2 + (sqrt(99) - (sqrt(99) + 1 - sqrt(99)))*-2*-6) + -4)**2.
-9936*sqrt(11) + 130420
Simplify (sqrt(108) - (-1 + -3 + sqrt(108)))**2 + sqrt(480)/sqrt(250).
4*sqrt(3)/5 + 16
Simplify (-1*(1*(2 + sqrt(1452)) - -4*(sqrt(1452) - 1*sqrt(1452) - sqrt(1452))))**2.
-264*sqrt(3) + 13072
Simplify 4*(-1*sqrt(275) + -4 - (5 + (sqrt(275) - (sqrt(275) + 1)))).
-20*sqrt(11) - 32
Simplify ((-4*sqrt(320)*5)**2 - 3*(sqrt(320)*1 + sqrt(320) + sqrt(320)))*-3.
-384000 + 216*sqrt(5)
Simplify 5 + sqrt(432)*-3 - ((-1*sqrt(81))/sqrt(3) + -3).
-33*sqrt(3) + 8
Simplify (sqrt(7920) + (sqrt(7920)*2 - sqrt(7920)))/(4*sqrt(10)/sqrt(2)).
6*sqrt(11)
Simplify -5*sqrt(10)/sqrt(2) + (sqrt(5) + (sqrt(5) + sqrt(35)/sqrt(7)*-3 - sqrt(5)) - sqrt(5))**2 - -2*(sqrt(720) - ((sqrt(720)*1)**2 + -2)).
-1391 + 19*sqrt(5)
Simplify ((sqrt(171) - 6*sqrt(171)*1 - sqrt(171)) + (sqrt(171) - -4*-1*sqrt(171)))/(1*sqrt(441)*-1).
9*sqrt(19)/7
Simplify 0 + -4 + (0 + sqrt(833) + -1)*-1*4.
-28*sqrt(17)
Simplify 2*(sqrt(272) + 0)*3 + (sqrt(272) + 0)*1*3.
36*sqrt(17)
Simplify 2*(-2*sqrt(3)*-2 - (1*sqrt(9))/sqrt(3)).
6*sqrt(3)
Simplify (3 + (sqrt(1584) - sqrt(1584)*1) + -4*2*sqrt(1584) + sqrt(1584) + -2)**2.
-168*sqrt(11) + 77617
Simplify ((sqrt(180)*1)/sqrt(6) + sqrt(3000)*2)/((sqrt(120)/sqrt(16))/sqrt(5)).
42*sqrt(5)
Simplify (-2 + -4 + (-4*(sqrt(204) - (sqrt(204) + sqrt(204)*1)))/(sqrt(48)/sqrt(64)))**2.
-192*sqrt(17) + 4388
Simplify ((sqrt(336)/((sqrt(108)/sqrt(3))/sqrt(3)))**2 + (sqrt(1372) + 1 + sqrt(1372))*-5)*-1.
-23 + 140*sqrt(7)
Simplify -2*(1*sqrt(891) + sqrt(44)/sqrt(4) + 5 - (5*2*sqrt(1100))**2).
-20*sqrt(11) + 219990
Simplify ((sqrt(77) - (sqrt(77) - (sqrt(77) + (-1*sqrt(77)*2 - sqrt(77))))) + -4*(1*sqrt(77) + sqrt(77)))/(sqrt(56)/((sqrt(96)/sqrt(2))/sqrt(6))).
-10*sqrt(11)
Simplify sqrt(117) - (4 + sqrt(117)*-2) - (sqrt(325)*2*-3 + sqrt(325)).
-4 + 34*sqrt(13)
Simplify (sqrt(66) - (sqrt(66) + (sqrt(66) - sqrt(66)*-1*-5) - sqrt(66)))/(sqrt(6)*-4*-2).
5*sqrt(11)/8
Simplify -5*(5*(sqrt(1377) + 1 + sqrt(1377) + 3))**2*-2.
36000*sqrt(17) + 1381000
Simplify (-2 + (2*(sqrt(77) - (-2*sqrt(77) + sqrt(77))) - sqrt(77))/((-1*sqrt(84))/sqrt(12)))**2.
12*sqrt(11) + 103
Simplify (sqrt(88)/(sqrt(2)*-5) | {
"pile_set_name": "DM Mathematics"
} |
999*d**2 - 9848*d.
12*d + 9998
Find the third derivative of -35*a**5 + 115*a**4 + 34*a**3*v - 86*a**2*v + 2*a**2 + 4*a*v - 383*v wrt a.
-2100*a**2 + 2760*a + 204*v
What is the second derivative of 34*v**5*w + 20*v**3*w + v**2*w + 20989*v*w wrt v?
680*v**3*w + 120*v*w + 2*w
Differentiate -222470*l**3 - 86364 with respect to l.
-667410*l**2
What is the second derivative of 1398288*w**5 - 9*w - 8337?
27965760*w**3
What is the first derivative of -41766*y**4 - 350345?
-167064*y**3
Differentiate 361*o*y**3 + 2*o*y - 13*o + 107926*y**3 wrt o.
361*y**3 + 2*y - 13
Find the second derivative of -12*d**5*v - 11145*d**3*v**3 - 6*d*v**3 + 278*d - 40 wrt d.
-240*d**3*v - 66870*d*v**3
Find the third derivative of -22157*x**3 + 48548*x**2.
-132942
What is the derivative of 61733*i*n - 2*n - 163290 wrt i?
61733*n
What is the second derivative of -33818*k*m**2 - k*m - 2*k + 40*m + 5 wrt m?
-67636*k
What is the first derivative of 2613*m**4 - 41*m**2 - 503706 wrt m?
10452*m**3 - 82*m
What is the third derivative of 593404*r**3 - 868706*r**2 wrt r?
3560424
What is the third derivative of 173724*x**5 - 56863*x**2 + 2*x?
10423440*x**2
What is the first derivative of 36*m**4 + 1172*m**3 - 2*m - 91124?
144*m**3 + 3516*m**2 - 2
What is the second derivative of 248320*k**2*m**2 + k*m**2 - 6*k - 87*m - 1 wrt k?
496640*m**2
What is the derivative of -83474*w**2 - 3*w + 295290?
-166948*w - 3
Find the first derivative of -3756801*n*s - 1385*s + 266 wrt n.
-3756801*s
What is the second derivative of 2723493*i**3 + 1046802*i wrt i?
16340958*i
What is the second derivative of -20099*g**4 + g**3 - 3*g**2 + 33069*g wrt g?
-241188*g**2 + 6*g - 6
Find the third derivative of 568153*q**4 + 81437*q**2 wrt q.
13635672*q
What is the second derivative of -3348*q*r**2 + 21*q*r + 6*q + 26*r**2 + 6*r wrt r?
-6696*q + 52
Find the first derivative of 24953*h**2 + 8190.
49906*h
What is the second derivative of 98902*r*w**2 - r*w - 6*r - w**3 + 2*w**2 - 9*w - 5215 wrt w?
197804*r - 6*w + 4
What is the third derivative of -17024*z**3 + 14*z**2 + 4?
-102144
What is the derivative of 75*r**4 - 684*r + 182829?
300*r**3 - 684
What is the third derivative of -3795*b**4 - 34*b**3 + 172073*b**2 - 3*b wrt b?
-91080*b - 204
What is the second derivative of -732*r**4 + 2*r**3 + 76*r**2 + 521562*r?
-8784*r**2 + 12*r + 152
Differentiate -269852*y + 189649 wrt y.
-269852
What is the third derivative of 9*b**4 + 16648*b**3 + 6*b**2 + 120*b + 27?
216*b + 99888
What is the first derivative of 199*f*q + 218864*f*w - 936*f - 2*q*w**2 + 2*q*w wrt w?
218864*f - 4*q*w + 2*q
Find the third derivative of -196523*q**5 + 2*q**2 - 86091*q + 2 wrt q.
-11791380*q**2
Differentiate -5183*d + 20004 wrt d.
-5183
Differentiate -386128*a*s - 2715*s - 98 with respect to a.
-386128*s
Find the third derivative of 165*n**4 - 354*n**3 + 1092812*n**2 wrt n.
3960*n - 2124
Find the first derivative of -23*h*j**2 + 6279*h*j + 117*h + 3*j**2 + 8364 wrt j.
-46*h*j + 6279*h + 6*j
What is the first derivative of -67*c**2*d*o - 103*c**2 + 34*c*d*o - 8*d wrt o?
-67*c**2*d + 34*c*d
Find the second derivative of -74*d**3 - 162*d**2 - 3*d - 237251 wrt d.
-444*d - 324
What is the derivative of 484*p**2*s - 136*p**2 - 245298*s wrt p?
968*p*s - 272*p
Find the second derivative of -5*z**4 + 2278*z**2 - 33*z + 75.
-60*z**2 + 4556
Find the second derivative of -142*j**4 + 1044*j**3 - 2240297*j wrt j.
-1704*j**2 + 6264*j
What is the second derivative of -1290*c**2 - 199*c + 8 wrt c?
-2580
What is the derivative of 17*j**4 + 88*j**3 - 9*j**2 + 224216?
68*j**3 + 264*j**2 - 18*j
What is the second derivative of -64718*b**2*w - 7*b*w + 2*b - 24*w + 1 wrt b?
-129436*w
Find the second derivative of 50449*k**4*v + 145*k*v + 161*k wrt k.
605388*k**2*v
What is the second derivative of -488832*s**2 + 129*s + 620?
-977664
Find the second derivative of 15*y**4 - 208*y**3 + 2*y - 19261.
180*y**2 - 1248*y
What is the first derivative of -47207*c*j - 80645*c wrt j?
-47207*c
What is the second derivative of 13479*y**3 + 3*y**2 - 132083*y wrt y?
80874*y + 6
What is the third derivative of -265715*n**3 - 58*n**2 - 148*n + 3?
-1594290
What is the second derivative of 35383*o**3 + 27543*o wrt o?
212298*o
What is the second derivative of m**5 - 54257*m**2*z - 2*m*z - 59*m + 94*z - 15 wrt m?
20*m**3 - 108514*z
What is the third derivative of -3054*i**6 - 34*i**3 + 40*i**2 + 2*i + 238 wrt i?
-366480*i**3 - 204
What is the third derivative of 440*o**4*u + 5*o**4 - 46*o**3*u + 2*o**2*u - 6*o - 2*u - 1352 wrt o?
10560*o*u + 120*o - 276*u
What is the second derivative of 5*p**3 - 4973*p**2 - p + 9804?
30*p - 9946
Differentiate l**2 + 2053095*l + 2104742.
2*l + 2053095
What is the second derivative of 335*f**2*n**2*x**2 - 3*f**2*n**2 + f**2*n*x - 22*f**2*x**2 + n**2*x - 631*n wrt n?
670*f**2*x**2 - 6*f**2 + 2*x
What is the derivative of 2166*i**3*k - i**3 + 2*i**2 - i*k - 4*k - 3230 wrt i?
6498*i**2*k - 3*i**2 + 4*i - k
Find the second derivative of 15*i**4 - i**3 + 507*i**2 + 30671*i.
180*i**2 - 6*i + 1014
What is the first derivative of g**2*q**2 - 2*g**2*q + 2*g**2 + 2887*g + 1864*q**2 - 2*q wrt q?
2*g**2*q - 2*g**2 + 3728*q - 2
What is the derivative of 2*m*o**2 - 2*m*o - m + o**2 - 25908*o + 73703 wrt o?
4*m*o - 2*m + 2*o - 25908
Find the third derivative of -4070990*n**6 + n**2 + 479626*n wrt n.
-488518800*n**3
Find the second derivative of -323871*g**3*w**3 - 3*g**3*w + 40180*g**2*w wrt w.
-1943226*g**3*w
Find the second derivative of 935173*g**2 + 162*g - 3132 wrt g.
1870346
What is the third derivative of 440742*i**2*w**3*z**3 - i**2*w**2*z - 3*i*w**3*z**3 + i*w**3*z - i*w**2*z**2 + 9*i*z - 16*w**3 + 13*w**2 wrt z?
2644452*i**2*w**3 - 18*i*w**3
Find the second derivative of -z**4 + 41225*z**2 - 5668*z - 3 wrt z.
-12*z**2 + 82450
Differentiate 7901*p**3*w + 3*p**3 - 400*p**2 - 19*p*w + 36*p + 4 wrt w.
7901*p**3 - 19*p
Differentiate -298221*o**2 - 257660 wrt o.
-596442*o
What is the second derivative of -1208*k**5*u**3 + 13*k**5*u + 7657*k*u**3 wrt k?
-24160*k**3*u**3 + 260*k**3*u
What is the second derivative of -n**2*s**2 - 2*n**2*s*x - 4*n**2*s - 5*n*s**3*x - 124*n*x - 35*s**3 - s**2 wrt s?
-2*n**2 - 30*n*s*x - 210*s - 2
Differentiate -229219*d + 27534 wrt d.
-229219
What is the third derivative of -a**4*q - 16237*a**4 + 960*a**2 - a + 2*q wrt a?
-24*a*q - 389688*a
What is the third derivative of -79557*j**6 - 27133*j**2?
-9546840*j**3
Find the third derivative of -4522*z**4 + 241*z**3 + 1097513*z**2.
-108528*z + 1446
Find the third derivative of -6*o*q**6 + 47*o*q + 3*o - 3*q**5 - 4557*q**3 + 373*q**2 + 3*q wrt q.
-720*o*q**3 - 180*q**2 - 27342
Differentiate -44338*r**2 + r - 64624 wrt r.
-88676*r + 1
What is the second derivative of 84*l**3*n**3 + 2*l**3 + 382*l*n**3 - 59014*n wrt n?
504*l**3*n + 2292*l*n
Find the second derivative of 12*a**5*t**3 - 22390*a**3*t**3 - 21*a*t**3 - 11*a + t**3 + 11*t**2 + 22*t wrt a.
240*a**3*t**3 - 134340*a*t**3
What is the second derivative of -10341*b*o**3*q**2 - b*o**3*q - 3*b*o**3 - 5*b*o*q**2 - 3*b*q**2 + 978*b + 2*o**2 - 6 wrt q?
-20682*b*o**3 - 10*b*o - 6*b
What is the third derivative of 207955*a**4 + a**3 + 1748819*a**2 wrt a?
4990920*a + 6
What is the third derivative of 9*p**5 - 1202*p**3 + 93450*p**2?
540*p**2 - 7212
What is the third derivative of -24457*f**4 - 2*f**3 - 18106*f**2 - 4*f wrt f?
-586968*f - 12
What is the derivative of -4271923*d + 2341525 wrt d?
-4271923
Find the first derivative of -382825*p**2 + 1017752 wrt p.
-765650*p
What is the first derivative of 426977*v + 491257 wrt v?
426977
What is the derivative of 1058806*t**3 - 1156097?
3176418*t**2
Find the third derivative of -12409*h**5 + 5*h**2 + 13*h + 5.
-744540*h**2
Find the first derivative of 16751*s - 37899 wrt s.
16751
Find the third derivative of 2*j**3*k*p + j**3*k - 162*j**3*p + 354*j**3 + 2*j**2*p - 7*j**2 + 2780*j*k*p wrt j.
12*k*p + 6*k - 972*p + 2124
What is the second derivative of -640904*w**3 + 253045*w wrt w?
-3845424*w
What is the second derivative of 121593*w**2 + 147022*w wrt w?
243186
Find the second derivative of -39917*d**4*x**2 - 2*d**2*x**2 - 11*d*x**2 + 3084*d + 2*x**2 wrt d.
-479004*d**2*x**2 - 4*x**2
Find the second derivative of -33861*h**2*z**4 + 21*h**2*z + 9*h**2 + 3*h*z**4 - 59*h*z wrt z.
-406332*h**2*z**2 + 36*h*z* | {
"pile_set_name": "DM Mathematics"
} |
e 2*b(x) - 9*r(x).
-8*x - 1
Let u(b) = -24*b**2 + 7*b + 9. Let a(s) = -23*s**2 + 6*s + 8. Give 7*a(w) - 6*u(w).
-17*w**2 + 2
Let q(i) = -7*i**2 + 5*i. Suppose -10 = -4*m + 26. Let z be m/6*22/3. Suppose z = 5*t + 1. Let b(j) = -3*j**2 + 2*j. Calculate t*q(a) - 5*b(a).
a**2
Let l = -1 + 6. Let p(j) = -j + 4. Let a be ((-12)/(-4))/((-2)/2). Let n(m) = -2*m + 7. Give a*n(k) + l*p(k).
k - 1
Suppose -3 + 12 = 3*m. Let g(a) = -a**3 - 5*a**2 + 14*a - 6. Let s be g(-7). Let z(x) = -x**3 + 2*x - 2. Let u(d) = d - 1. What is m*z(w) + s*u(w)?
-3*w**3
Suppose 7*h = 5*h + 2*f - 14, 4*f = 3*h + 21. Let c(x) = -5*x - 2. Let a(w) = 15*w + 7. Give h*c(n) - 2*a(n).
5*n
Let s(w) = -13*w**2 + 4*w**2 + 21*w - 26*w. Let r(x) = 4*x**2 + 2*x. What is -5*r(v) - 2*s(v)?
-2*v**2
Let t(d) = 45*d**3 - 18*d**2 + 18*d - 18. Let b(y) = y**3 - y**2 + y - 1. What is -54*b(h) + 3*t(h)?
81*h**3
Let q(l) = 7*l**2. Let p(t) = 2*t**2. Suppose -76 = 5*v - v. Let i = 41 + v. Determine i*p(g) - 6*q(g).
2*g**2
Let h(z) = z**2 + 1. Let o(c) = -4*c**2 - c - 3. Determine 3*h(a) + o(a).
-a**2 - a
Let z(t) = 5*t**3 + 0 + 3 + 8*t**2 + 8*t - 4. Let v(b) = -3*b**3 - 5*b**2 - 5*b + 1. Let a(m) = 8*v(m) + 5*z(m). Let l(p) = -p**3 - 4. What is -4*a(f) - 3*l(f)?
-f**3
Let f(d) = -6*d**3 + 5*d**2 - 8*d + 8*d**3 - 6*d**3 + 3*d**2 + 8. Let u(w) = w**2 - w + 1. Calculate -f(a) + 8*u(a).
4*a**3
Let t(n) = n + 2. Let z be t(-7). Let q(o) = -2*o**2 - 5. Let p(l) = l**2 + 4. Give z*p(r) - 4*q(r).
3*r**2
Let t(n) = n**3 + 2*n**2 + 2. Suppose -a + 12 = -z + 6*z, 0 = 4*z - 8. Let c(r) = r**2 + 2*r**3 - 3*r**3 + 2*r**3. What is a*c(p) - t(p)?
p**3 - 2
Let x(j) = -j - 15. Let a(n) = -2*n - 16. Calculate -2*a(k) + 3*x(k).
k - 13
Let s(d) = 4*d + 1. Let r(h) = -9*h - 2. Let f be 14/(-119) - (-100)/(-17). Let k be 2/(-2) + 1 + f. Calculate k*r(q) - 14*s(q).
-2*q - 2
Let v(c) = 5*c**2 - 7*c. Let z(d) be the second derivative of d**4/6 - d**3/2 + 30*d. Give 6*v(a) - 14*z(a).
2*a**2
Let u be 1 + -2 - (3 - 1). Suppose -5*w + 0 + 20 = 0. Let z(o) = 2 + 2 - 9*o + w*o. Let g(k) = -k + 1. What is u*g(v) + z(v)?
-2*v + 1
Let q(i) = -13*i**2 + 3*i. Let h(s) = -13*s**2 + 4*s. Calculate 3*h(o) - 4*q(o).
13*o**2
Let x(t) = 7*t + 4. Let b(l) = 3*l + 2. Let r(i) = i**3 - 4*i**2 - 3*i - 5. Let p be (-10)/4*(-1 - 1). Let w be r(p). Determine w*b(j) - 2*x(j).
j + 2
Let n be 2*14*1/4. Let i(t) = -9*t**2 + 9*t - 5. Let f(y) = 5*y**2 - 5*y + 3. Let z = 33 + -29. Calculate n*f(v) + z*i(v).
-v**2 + v + 1
Let j(f) = -207*f**3 - 12*f**2 - 12*f. Let l(c) = 83*c**3 + 5*c**2 + 5*c. What is -5*j(h) - 12*l(h)?
39*h**3
Let r(a) = 2*a**2 + 1. Suppose -2*y = -p - 5*y - 9, 0 = 5*p - 3*y + 9. Let n(f) = -4*f**2 - 2. What is p*n(x) - 5*r(x)?
2*x**2 + 1
Let l(z) = z**3 + 6. Let x(d) = -2*d**3 - 5. Calculate 5*l(a) + 6*x(a).
-7*a**3
Let z(l) = 5*l - 5. Let j(v) = -14*v + 14. Let p(b) = 7*b**2 - 2*b + 1. Let w be p(1). Determine w*j(g) + 17*z(g).
g - 1
Let r(a) = -14*a**2 - 14*a + 21. Let u(y) = 9*y**2 + 9*y - 14. What is 5*r(q) + 8*u(q)?
2*q**2 + 2*q - 7
Let y(g) = 28*g**3 - 6*g. Let r(c) = 867*c**3 - 187*c. Calculate -6*r(z) + 187*y(z).
34*z**3
Let n(y) = 14*y**3 - 5*y**2 - 3*y. Let k(z) = 5*z**3 - 2*z**2 - z. What is -17*k(t) + 6*n(t)?
-t**3 + 4*t**2 - t
Suppose 3*f + 4 = -5. Let c(m) = m**2 - 4. Let o(z) = 6*z**2 - 20. Determine f*o(k) + 16*c(k).
-2*k**2 - 4
Let z(o) = 13*o**2 - 4*o + 4. Let b(d) = 377*d**2 - 117*d + 117. Give 4*b(a) - 117*z(a).
-13*a**2
Let v(p) = -3*p + 4. Let l(q) = -q + 1. Let i = -80 + 74. Suppose 4*k + 10 = -2*y - 18, -4*y = 4*k + 48. Let f = y - i. Determine f*l(o) + v(o).
o
Let v(w) = 1. Let d be ((-11)/(-11) - (18 - 2)) + 0. Let r(q) = -q**2 - 5. Let t = -8 - -5. Give d*v(h) + t*r(h).
3*h**2
Let p(x) be the first derivative of -x**4/4 - x**3/3 - x**2/2 + 2. Let d(l) = 3*l + 5*l**2 + 0*l**2 + l + l + l**3. Give -d(a) - 3*p(a).
2*a**3 - 2*a**2 - 2*a
Let y(t) = 6*t**2 + 11*t + 30. Let m(l) = 2*l**2 + 4*l + 10. What is 8*m(g) - 3*y(g)?
-2*g**2 - g - 10
Let w(a) = 3*a**3 - 2*a + 4. Let n = -3 + -5. Let s(v) be the second derivative of -v**5/4 + v**3/2 - 3*v**2 - 25*v. What is n*w(b) - 5*s(b)?
b**3 + b - 2
Let j(v) = 7*v**2 - 7*v - 5. Let q(l) = -20*l**2 + 20*l + 14. Suppose -2*g + 15 = g. Let f = 23 + -9. Give f*j(t) + g*q(t).
-2*t**2 + 2*t
Let r be 7/21*-2*(-18)/4. Let t(q) = -6*q**2 + 2*q + 3. Let b(v) = v**2 - 1. What is r*b(x) + t(x)?
-3*x**2 + 2*x
Let f = -25 - -24. Let m(i) = i**3 - i + 1. Let y(s) = -s**3 + 2*s**2 + 2*s - 2. What is f*y(n) - 2*m(n)?
-n**3 - 2*n**2
Let b(s) = 2*s**2 - 12*s - 8. Let a be b(6). Let h(g) = -6*g**3 - 2*g**2 - 8*g + 5. Let c(r) = 2*r**3 + r**2 + 3*r - 2. Give a*c(u) - 3*h(u).
2*u**3 - 2*u**2 + 1
Let v(a) = -11*a**2 + 22*a - 4. Let h(u) = 17*u**2 - 34*u + 6. Let f(d) = 5*h(d) + 8*v(d). Let r(j) = 5*j**2 - 11*j + 4. What is 7*f(y) + 4*r(y)?
-y**2 - 2*y + 2
Let d(t) = -4*t**2 + 3. Let x(k) = 0*k**2 + 2*k**2 - 7*k**2 + 4. Suppose 3*z = -15 + 3. What is z*d(n) + 3*x(n)?
n**2
Let n(u) = 7*u + 6. Let c(q) be the third derivative of q**2 + 0*q - 1/24*q**4 - 1/6*q**3 + 0. Let b = -3 - -2. Calculate b*n(z) - 5*c(z).
-2*z - 1
Let s(i) = -i + 3. Let q be s(6). Let n(d) = -d - 1. Let v(f) = -2*f**2 - 3*f - 3. Calculate q*n(x) + v(x).
-2*x**2
Let p(g) = -10*g**3 - 5*g**2 - 9*g - 5. Let a(n) = -5*n**3 - 3*n**2 - 5*n - 3. Give 5*a(r) - 3*p(r).
5*r**3 + 2*r
Let q(v) = 3*v**2 + 6*v. Let k(r) = 7*r**2 + 12*r + 1. Calculate 2*k(z) - 5*q(z).
-z**2 - 6*z + 2
Let k(f) = -f. Let v(m) be the first derivative of 2 + 0*m + 2*m + m**2 - 1 + 1. Determine 3*k(j) + v(j).
-j + 2
Let l(h) = -5*h - 6. Let y(w) = 4*w + 7. What is -5*l(a) - 4*y(a)?
9*a + 2
Let o(y) = -6*y**3 - y**2 - 7*y + 3. Let a(l) = 7*l**3 + l**2 + 8*l - 4. Give 4*a(s) + 5*o(s).
-2*s**3 - s**2 - 3*s - 1
Let l(t) = 2*t**3 - 2. Let n be 10*(44/8 - 5). Let p(s) = -1 + 0*s**3 + 0 + 2*s**3. Determine n*p(u) - 4*l(u).
2*u**3 + 3
Let y(r) = 2*r**3 - 2*r**2 + 9*r + 7. Let w(h) be the second derivative of -4*h + 1/20*h**5 + 2*h**2 + 5/6*h**3 - 1/12*h**4 + 0. Give 7*w(p) - 4*y(p).
-p**3 + p**2 - p
Let d(f) = 4*f**2 - 5. Let p(w) = -3*w**2 - w + 4. Give -5*d(k) - 6*p(k).
-2*k**2 + 6*k + 1
Let l = 0 + 1. Let d(t) = 1 - t + 2*t - 2*t. Let q(x) = 3*x. Let z(a) = 1. Let f(m) = q(m) - 6*z(m). What is l*f(k) + 5*d(k)?
-2*k - 1
Let z(u) = 2*u - 3. Let q(f) = f - 5. Let p be q(0). Let j(o) = 2*o - 4. Determine p*z(w) + 4*j(w).
-2*w - 1
Suppose 4*b - 13 = -1. Let u(l) = 4*l + 2. Suppose 3*c - 2*t - 8 = 0, -3*c - 6*t + 22 = -t. Let s = 5 - c. Let z(n) = -n - 1. What is b*z(k) + s*u(k)?
k - 1
Suppose 4*k = 2*k + 3*s - 13, 3*s - 9 = 0. Let b(h) = 4*h**2 - 2. Let f(n) = 5*n**2 - 3. Calculate k*f(d) + 3*b(d).
2*d**2
Let u(z) = 5*z**3 + 29*z**2 + 4. Let t(b) = -b**3 - 1. What is -4*t(p) - u(p)?
-p**3 - 29*p**2
Let k(w) = -14*w + 5. Let o(g) = -5*g - 3. Let c be o(-2). Let p be (-1)/((-2)/(-2)) - c. Let r(b) = -5*b + 2. What is p*r(d) + 3*k(d)?
-2*d - 1
Let i be (-4)/(-22) - 13/11. Let x(l) = -3*l**2 + 2*l**2 + 3*l + 2*l**2 - 3 - 3*l**2. Let m(t) = t**2 - t + 1. Determine i*x(a) - 3*m(a).
-a**2
Let t(n) = 2*n**3 + 3*n + 1. Let q(m) = -8*m**3 - 13*m - 4. Let z be (1 - -2)*3/(-1). Determine z*t(j) - 2*q(j).
-2*j**3 - j - 1
Let b(j) = -j**2 + 2. Suppose -3*f + 2*f + 3 = 0. Suppose -4*n + 4*q + 16 = 0, 2 = -4*n - f*q + 18. Let h(u) = -2*u**2 + 3. Give n*h(x) - 6*b(x).
-2*x**2
Let q(b) = -4*b**2 + 5*b + 5. Let w(m) = -11*m**2 + 14*m + 15. Determine -8*q(f) + 3*w(f).
-f**2 + 2*f + 5
Suppose -5*x + 26 = u - x, 0 = x - 5. Let g(o) = u + o - 2*o + 15*o. Let i(f) = -5*f - 2. Let v = 8 - 5. What is v*g(j) + 8*i(j)?
2*j + 2
Suppose o + 3*o - 12 = 0. Let j(p) = p**2 - 3*p. Let b = 1 + -10. Let c(n) = 3*n - 4. Let m(v) = -7*v + 9. Let k(s) = b*c(s) - 4*m(s). Determine o*k(l) + j(l).
l**2
Let r(c) = 2*c**2 + c + 4. Suppose -g = -6*g + 5. Let a(l) = -1 + 2 - 2. Calculate g*r(q) + 4*a(q).
2*q**2 + q
Let x(n) = 9*n**3 - 6*n**2 - 6*n - 6. Let t be (-8)/(-48) + (-10)/(-12). Let c(f) = -f**3 + f**2 + f + 1. Determine t*x(s) + 6*c(s).
3*s**3
Let m(b) = -b**2 - b. Let o(c) = -2*c**2 - 5*c + 1. Let n(u) = -u**2 - 8*u - 3. Let l = -17 - -9. Let s be n(l). Determine s*m(v) + o(v).
v**2 - 2*v + 1
Let y(s) = 2*s**2 + s + 2. Let z(t) = 6*t**2 + 2*t + 6. Determine 11*y(j) - 4*z(j).
-2*j**2 + 3*j - 2
Let g(r) | {
"pile_set_name": "DM Mathematics"
} |
?
-42
Calculate 22 + (9 - (-64 + 118)).
-23
What is -11 + 21 + -26 - 32?
-48
12 - (8 - (23 - 29)) - (37 + 6)
-45
What is 24 + 23 + (8 + -19 - (40 + 4))?
-8
(-5 - 11) + -32 + 33 + 5
-10
What is (-34 + 56 - 10) + -15?
-3
84 + (12 - (-5 - -25)) + -27
49
Calculate (-22 + 20 + -88 - -40) + (0 - -2) + 12.
-36
Evaluate 29 - (1 + -7 + 4) - (45 - 50).
36
Evaluate (-3 - (-6 + 5)) + -5 + -2 + -25.
-34
What is (-37 - (78 + -274)) + -82?
77
Calculate (7 + -1 + -66 + 58 - (1 - 42)) + 9.
48
What is -4 + (2 - 15) + 167 + 35 + -103?
82
What is (-83 - -157 - -9) + -85?
-2
Evaluate -11211 + 11166 - (11 + 1).
-57
(-50 - 28 - -47) + 42
11
What is the value of 9 - (-6 - (-7 + 0)) - (-49 - -3)?
54
What is the value of (-83 - -53 - 4) + 82?
48
Evaluate 62 + -99 + (-61 - -120).
22
0 + 23 + 1 + -43316 + 43333
41
(44 + -44 - -11) + 11
22
Evaluate 2 - ((5 - 0) + -3) - (1910 + -1859).
-51
Evaluate 41 - (-17 - -38) - (30 - -5).
-15
What is 79 + 0 + 3 + (5 - 10) + -12?
65
(-71 - -20) + 98 - 53
-6
Evaluate 45 + 37 + 37 + -84.
35
What is the value of -20 + (-11 + 5 - -3) + 43 + -30?
-10
Evaluate -43 + 93 + 26 + -43 + 9.
42
81 + -29 - 19 - (2 - (4 - 2 - -6))
39
Calculate -3238 - -3268 - (1 + 77).
-48
What is the value of (202 + -195 - -5) + 0 + -1 + -18?
-7
Calculate -7 - (11 - 12) - (-37 + -3) - -7.
41
Evaluate -44 + (41 + -64 - -76).
9
Evaluate 0 + -12 - (2 + 34 + (22 - 44)).
-26
Calculate (-152 - -48) + 19 + 0 + -2 + 3.
-84
What is the value of 15 + -13 + 4 + 18 + 23 - (-13 - 1)?
61
-25 + (-1 - -28 - 27) - -12
-13
Evaluate -7 + (0 - 6) - (23 - (-4 + 30)).
-10
Calculate 2 + -5 + 20 + 3 + 9 + 4.
33
What is the value of (47 - 33) + -15 - 12?
-13
Calculate 269 + -271 + -3 + 3 + 5 + 3.
6
-17 + (8 - -30) + (11 - 45) + 136
123
Calculate 14 + (4 + 27 + -42 - -41).
44
Calculate (-5 - -60) + -9 + -16.
30
Evaluate (3 - (3 + 2 + -1)) + (-26 - 64) + 98.
7
Evaluate -25 + (5 + -3 + 72 - 25).
24
46 + (24 + -86 - -47)
31
What is the value of 28 - (33 + -13) - (-2 + (-1 - -1) + 5)?
5
(-1 - 6) + 15 + (-23 - -6) + -3 + 41
29
What is (7 - 14) + 4 + -37 + (-16 - 3)?
-59
-15 + (-10 - 17) - -15
-27
Calculate 1 - (-22 - (15 + (-2 - 5) - 1)).
30
Calculate 1351 + -1371 - (-30 - 2).
12
What is the value of -681 + 708 + (2 - 64)?
-35
What is -5 + (19 - (-2 + 2 + 4 + -3))?
13
Evaluate 6 + (3 + -3 + -12 - (-127 + 122)).
-1
What is 104 + -78 + 14 + -20?
20
Calculate -7 + -2 + (-10 + 21 - (6 + -4)) - 72.
-72
-4 + (-18 + 12 - (-15 + 6)) + -56
-57
What is the value of 5 + (-2 + 12 - (16 + (-13 - 0) - -8))?
4
Calculate -17 + 1 - (131 + -175).
28
Evaluate 21 + 3 + 18 + (-19 - -35).
58
What is (118 - 145) + 4 + -4?
-27
Evaluate (1020 - 1084) + (-4 - -2 - -13).
-53
What is -1 - -7 - (-5 + -2 - (700 - 709))?
4
Evaluate 3 + 69 + (-494 - -467).
45
What is the value of -58 - -29 - -18 - ((9 - 4) + -19)?
3
What is the value of 35 + (82 - 25) + 5 + 21?
118
Evaluate 20 + (-24 + 73 - 40).
29
Evaluate -3385 - -3441 - (0 - -50).
6
What is the value of -78 - (-8 - ((-10 - -1 - -10) + 7))?
-62
Calculate (0 - (-16 - -1)) + 312 + -513 + 215.
29
Calculate 15 - (9 + (14 - 1 - 24) + 25).
-8
What is 2 + -14 + (6 - 6 - 5) + 18?
1
(-4 - (15 + -44 + 22)) + (2 - (48 + -2))
-41
What is 16 + 8 + (-31 + 38 - 32)?
-1
Calculate -120 + 110 - (-3 + 5 + 5) - (1 + -2).
-16
Calculate 11 - (5 + (-3 - (-6 + 8))) - 52.
-41
What is the value of 39 - (-14 + 14 + -38 + -60)?
137
Calculate -31 - (46 + -74) - (33 - 10).
-26
Calculate -72 - (-147 + 92 + -55).
38
Calculate -2 + (-150 - -1) - (-5116 - -5072).
-107
Calculate -7 - (-2 + (-24 - (-51 - -24))).
-8
What is (2 - (18 - 1)) + 27 + (42 - -4)?
58
Evaluate -210 - (146 - 346) - (1 + -36).
25
What is -21 + 32 + 25 + -14 + 1?
23
8 + -8 + 60 + (20 - 8 - 16 - -13)
69
What is the value of -31 - (-29 + (12 - (22 + -35)))?
-27
-31 - (23 - -24) - -39
-39
(76 + -9 - 10) + 5 + -4 - 11
47
Calculate -41 + (-53 - -132) - 109.
-71
(-2 - -3) + -2 + 22 + -21 + 1 + -8
-7
-70 + (74 - 85 - (-16 + 3)) + (3 - -3)
-62
Calculate -38 + -57 - -58 - (-6 + 6 - -13).
-50
What is the value of 6655 - 6660 - (-2 + 0 + (2 - -45))?
-50
What is the value of -6 + -9 + 25 + 5 + 27?
42
Calculate 0 + (-4 - 0) + 0 + 15 + -267 + 267.
11
Evaluate -90 + -46 + (-39 - -147).
-28
Evaluate 93 + -8 + (19 - 27) - (-18 + -2).
97
Evaluate 101 - (-94 - -39 - -59).
97
What is (-2 + 3 - 13) + (208 - 201) + -2?
-7
What is the value of 0 - (4 + -2 + -1 - (-25 + -12 + 5))?
-33
Calculate 0 + -53 + (-10 - (-32 + 6)) + (3 - 16).
-50
(1 - 38) + (20 - -10) + -8
-15
What is -8 + -91 + -6 + 38 + -10 + -25?
-102
What is the value of (277 - 286) + -82 + 0 + (0 - -11)?
-80
Calculate 2667 + -2642 + (0 - 61).
-36
What is the value of 0 + 13 - (-16 + (1 + 32 - 37))?
33
What is -4 + 33 + -11 + (37 - 52)?
3
Evaluate 36 + -1 + -19 + -3 + -4 + -2 + 13.
20
What is -433 + 118 + 161 - ((0 - (2 + -2)) + -3)?
-151
Evaluate 2 + -1 + -2 + (16 - 13) + -16.
-14
Evaluate 418 + -411 + -19 + 0 - -18.
6
What is -37 - (-103 - -34) - (3 + 4 + 3)?
22
What is the value of 35 + (-20 - (-10 + -11)) - (1 + -1)?
36
(122 - (-38 - -75)) + -200
-115
39 - (-32 + -35 + 32 - -4)
70
Calculate -12 - (-3 - ((2 - -3) + 8 + 0)).
4
-2 + -45 + 61 - (0 + 65) - -8
-43
-27 + 5 - 0 - (-33 + 60 + -26)
-23
Calculate -12 + 3 + -12 + 35 + 21 + -102.
-67
What is -92 - ((-7 - -6 - (-3 - -1)) + (89 - 99))?
-83
What is the value of -7 - (-5 + 3 - 10 - 4 - 5)?
14
Evaluate -38 + 50 - (-4 - (1 + -8 + 14)).
23
Calculate (-2 - (-3 + 6 - -30) - -8) + -9.
-36
What is the value of (1 - (-10 - (1 + -20))) + (-4 - 2 - 14)?
-28
Calculate 53 + (40 - 80) - 24 - -64.
53
Calculate (-32 - -11) + (5 - (0 - 18)).
2
Calculate (97 - 209 - -102) + 2 + -20.
-28
What is 1888 + -1763 - (1 + 44)?
80
What is -117 + 104 + (5 - (4 - 2)) + 3?
-7
What is -22 - (91 + -106 - (5 + -1))?
-3
What is the value of (35 - -2 - 0) + -653 + 651 + -2?
33
Calculate (62 + -14 - -32) + -25 + 24.
79
What is the value of 6 - ((-61 - -95) + -60)?
32
What is the value of 17 + (-20 + 4 + 35 + -14 - 67)?
-45
What is the value of -19 + -2 - (29 - 231 - -107)?
74
(114 - 1) + 24 + (-46 - 7) + 11
95
9 + (-48 - (-23 - (3 + -15 + 2)))
-26
What is 20 + -51 + 14 - (20 - -3)?
-40
Evaluate 2432 + -2486 - (-1 - 38).
-15
What is 42 + (66 - 57) + -42?
9
Evaluate 103 + -1 + 24 + -6 + -34 + 0.
86
(-30 - -36) + 9 + 0 + 4 + -4
15
-8 - (27 + -13 - ((-7 - -15) + -3))
-17
What is 2 + -40 - -118 - 45?
35
Evaluate (1 + -1 - 54) + 63 + (17 - 94).
-68
What is the value of -1 - 3 - (315 - 340)?
21
Evaluate -54 + 70 - 55 - (2 - -28).
-69
What is the value of -149 + 135 - 239 - -125?
-128
Evaluate -186 - (122 + -8 + -215).
-85
3 + -55 - (30 + -24 + 23 + -12)
-69
What is the value of (-14 + 6 + 5 - -12) + -3 - (3 - 42)?
45
56 - (-3 - (-7 + (-9 - -16) + -11))
48
What is 56 + -113 + 101 - 99?
-55
What is the value of 14 + 43 + -14 + (3 - 17) + 21?
50
Evaluate 19 + (-7 - 4 - -2 - 5).
5
What is the value of 1 + -11 - (40 + (-33 - 23) + 7)?
-1
Evaluate -113 - (115 + -80 - 118).
-30
What is the value of -75 + -104 + 275 + (-1 - 0)?
95
(-90 - (-44 - 3)) + 69
26
What is the value of -35 - (-79 - -43) - -1?
2
Calculate (-100 - (0 - (5 - -2))) + -14.
-107
Calculate 3 + 1 + 111 + -242 + 237 - (-11 + 1).
120
Evaluate (-25 - -45) + (-19 - -7 - -14).
22
What is -8 - (-12 - -12) - -11 - (-2 + 0 + 16)?
-11
What is the value of 13 + -18 + 182 + -88?
89
(-17 - -26) + -8 + (22 - (-71 - -10))
84
Evaluate 18 + 11 + -5 + 18 - (-14 + 19).
37
(-6 - 2) + (0 - -8) + 9
9
What is the value of (47 - -31) + -125 + 2 + 25?
-20
What is the value of -156 + 117 + -34 - -21?
-52
What is the value of (196 - (415 - 194)) + (1 + 137 - 3)?
110
What is the value of 4 - ((1 - (-36 - -7)) + (28 - 14 - 5))?
-35
What is the value of 49 + 3 + -47 - (27 - 39)?
17
Calculate (-571 - -314) + 259 + -1 + 77 + (-1 - -2).
79
Evaluate -125 + 107 + 0 + 30 + 2.
14
What is the value of -66 - (-70 - -83 - (-6 - -16))?
-69
What is (-9 - (-2 - 13)) + 29 - (-3 + 9)?
29
What is -366 + 373 + -9 + 1 + (-58 - (6 - 4))?
-61
What is the value of -2 + (-7 - 6 - -23 - (1 + -16))?
23
What is -37 + (-137 - -183) + 22?
31
Calculate -39 + (17 - (6 + 11 + -10 + 4)).
-33
Calculate (-20 - 0) + -23290 + 23219.
-91
Evaluate -4 + -3 + (4 - (3 + -7) - (-4 + 9)).
-4
Calculate 4 + -75 + 61 + -95.
-105
Calculate -8 + -84 + -41 - -93.
-40
6 - (-9 - (-8 - -3) - (-72 - (2 + | {
"pile_set_name": "DM Mathematics"
} |
t q(z) = z**2 - 2*z - 1. Let w be 2/(-4)*(6 - 4). Let v = w + 4. Give q(v).
2
Let u(k) = k**2 - 4. Suppose 0 = 3*p - 32 + 23. Give u(p).
5
Suppose -j = -2*j + 3. Let v(z) = z**2 - 1 - z + 3*z**2 - 6*z**j - 3*z**2. Calculate v(-1).
7
Let s(l) = l**2 - l + 4. Let t be s(0). Let n = -2 + 5. Let u(k) = -k + t + n - 2. Determine u(5).
0
Let s(w) = w**3 + 7*w**2 - w - 4. Let x be s(-7). Let o be 1*(x - (-2 - 0)). Let y(m) = -6 - m - m + m**2 - m. Calculate y(o).
4
Let s(j) = j**2 - 6*j - 4. Let u(i) = i**3 - 8*i**2 + 9*i - 7. Let c be u(7). Give s(c).
3
Let n(q) = -q**3 + 3*q**2 + q - 1. Let m be (-2)/(-8) - 492/(-16). Suppose -4*y = 5*i - m, -y + 9 - 20 = -5*i. Determine n(i).
2
Let a be ((-28)/5)/(2/(-5)). Suppose 0 = 4*c - 2 - a. Let f(y) = y**3 - 5*y**2 + 5*y - 1. What is f(c)?
3
Let m(u) = 11*u**2 - 3*u + 1. Let t(x) = 16*x**2 - 5*x + 2. Let g(v) = 7*m(v) - 5*t(v). What is g(3)?
-18
Suppose 18 = -3*s + 6*s. Let w(g) = g**3 - 5*g**2 - 6*g + 1. What is w(s)?
1
Let k be 6/(-15) - (-17)/5. Let g(b) = -8 - k*b + 19 - 10. Give g(-2).
7
Let l(c) be the first derivative of c**2/2 + 3. Let u(g) = -g**2 + 2*g - 1. Let j be u(2). Give l(j).
-1
Let g = -10 - -9. Let w(z) = z**3 + 2*z**2 - z - 1. Give w(g).
1
Let n(w) = -9*w + 1. Let h be ((-1)/(-2))/((-4)/(-40)). Suppose f - 6*f = h. Give n(f).
10
Let y(f) = -f**2 - 5*f - 6. Let o be y(-3). Let n(q) = -q**2 + q. Calculate n(o).
0
Let n(o) be the first derivative of o**6/360 + o**5/120 - o**4/8 + o**3/3 + 2. Let b(z) be the third derivative of n(z). Calculate b(0).
-3
Let h(z) = 2*z**2 - z + 1. Suppose s = -2*s + 120. Let q be 14/(-4)*s/(-70). Calculate h(q).
7
Let p(m) = -m**3 - m - 1. Let o(a) = -5*a**3 - 4*a**2 - 13*a - 5. Let s(q) = o(q) - 6*p(q). Let k = 23 - 18. Determine s(k).
-9
Let h(k) = 3*k - 1. Suppose 2*c + 0 = -2. Let r = c + 0. Give h(r).
-4
Let r be -2 - 0 - 5/(-1). Suppose 4*m + 5*c = 2*m, -c = r*m. Let l(o) be the third derivative of o**5/60 + o**4/24 - 7*o**3/6 - o**2. Give l(m).
-7
Let a be (-12)/15*5/(-2). Suppose -6*t = -a*t. Let f(v) be the second derivative of -v**4/12 - 3*v**2 - 2*v. Calculate f(t).
-6
Let v be ((-60)/16)/(1/4). Let z be v/1*(-2)/6. Let g(y) = y + 9. Let k(r) = -8. Let l(i) = 2*g(i) + 3*k(i). Calculate l(z).
4
Let a(h) = -2*h + 2 - 1 - 4*h - 4. Give a(-2).
9
Let z(w) = w. Suppose 0 = -2*k + 5*n - 26, 4*k - 5*n + n + 28 = 0. Let u be 17/(-6) - k/(-18). Let m(a) = a**2 - 4. Let o be m(u). What is z(o)?
5
Let y(x) = -2*x - 1 + 0*x**2 + x**2 + x**3 + 3*x + 0*x**2. Let i(m) = -m**3 - m**2 + 2*m. Let w be i(-2). Calculate y(w).
-1
Let l(y) = 6*y + 0*y + 5 - y. What is l(-4)?
-15
Suppose j + 0 = 4. Let m(x) be the second derivative of -x**4/12 + x**3/2 + x**2 + 4*x. Calculate m(j).
-2
Let o(m) be the first derivative of -5*m - 3 + 0*m**2 + 1/3*m**3. Calculate o(0).
-5
Let a be -1*(1 - 0)*3. Let m(h) = -5*h**3 + 2*h**2 - 7*h - 3. Let b(i) = -6*i**3 + 2*i**2 - 8*i - 3. Let f(y) = -6*b(y) + 7*m(y). Determine f(a).
-9
Let b(f) = -7*f**2 - 5*f + 18. Let w(t) = -6*t**2 - 4*t + 17. Let r(z) = -5*b(z) + 6*w(z). Suppose 0 = 2*y - 3*g - 15, 0 = -4*y + 2*g + 6 + 4. Give r(y).
12
Let a(g) be the first derivative of g**4/4 + g**2/2 + 17*g - 68. Determine a(0).
17
Let q = -22 + 17. Let h(g) = -g**2 - 4*g + 6. Calculate h(q).
1
Let n(t) = 15*t**2 + 2*t - 1. Suppose -15*c - 3 = -18*c. Give n(c).
16
Suppose -5*m + 3*q = 7*q - 51, 2*q - 8 = 0. Let u(c) = c**3 - 6*c**2 - 7*c - 6. Determine u(m).
-6
Suppose -h + 2*z + 14 = 0, -h + 22 = 4*h + 2*z. Let p(r) = 4*r**2 - 6*r + 2. Let o(y) = -5*y**2 + 6*y - 3. Let g(x) = h*p(x) + 5*o(x). What is g(-4)?
5
Let f(n) be the first derivative of n**4/6 - 2*n**3/3 + 3*n**2/2 - n - 3. Let d(l) be the first derivative of f(l). Determine d(2).
3
Let t(h) be the first derivative of h**4/4 + 2*h**3 + h**2/2 + 12. Let s(d) = -2*d**2 - 2*d - 2. Let v be s(-2). What is t(v)?
-6
Let v(t) = t + 7. Let k(n) be the second derivative of -n**4/12 - n**3 - 5*n**2 - 6*n. Let p be k(-5). Calculate v(p).
2
Let v(h) = 4*h + 3. Suppose -3*f + 3 = 4*b, -10*b = -14*b - 4*f. What is v(b)?
15
Let v(c) be the first derivative of -c**2/2 + 33. Determine v(-2).
2
Let c(q) be the third derivative of q**4/24 - 5*q**3/6 + 29*q**2. Calculate c(10).
5
Let j(z) = -2*z**2 + z - 1. Suppose 5 + 10 = -5*r. Let l be (-1)/(-4 - r)*1. Calculate j(l).
-2
Suppose -1 = -g - 3. Let r(v) = 1. Let i(s) = -s**2 + 5*s + 5. Let q(d) = g*r(d) + i(d). Determine q(6).
-3
Let l(b) be the first derivative of -b**4/4 + 2*b**3/3 - b**2/2 + 1. Let d be 0 - (-10 - (-3 + 3)). Let p = -8 + d. Give l(p).
-2
Let m(u) = -3 - 7 - u + 2. Determine m(-5).
-3
Let y = 127 + -125. Let o(i) be the first derivative of i**4/4 - i**3/3 - i**2 + 2. What is o(y)?
0
Let s(w) = 7 - 4 + 3*w**2 - 4*w**2. Let n be s(-3). Let r(d) be the second derivative of d**4/12 + d**3 - 2*d**2 + 9*d. Determine r(n).
-4
Let t(c) = 8 - 3 + c - 1 - 7. Calculate t(7).
4
Let h(o) be the third derivative of -o**8/6720 - o**7/2520 + o**6/240 + o**5/60 - o**4/24 + 2*o**2. Let f(d) be the second derivative of h(d). Determine f(-2).
0
Let z(g) be the second derivative of 3*g - 1/6*g**3 + g**2 + 0. Give z(0).
2
Suppose -l - b + 5 = -6, 2*b + 13 = 3*l. Let o = 2 - l. Let m(x) = 5*x - 6 + x - 7*x. Determine m(o).
-1
Suppose -d - 2*j = j, -3*d - 2*j = -7. Let a be (-2 + 0/d)/1. Let g(t) = 6*t**2 - t + 4. Let b(i) = i**2 - i + 1. Let x(m) = -4*b(m) + g(m). What is x(a)?
2
Let s(b) = -b - 2. Let i(p) = -p**2 - 9*p - 3. Let t be i(-9). What is s(t)?
1
Let t(c) = 4 + 7*c + 1 + 1 + 5*c**2 - 4*c**2. What is t(-5)?
-4
Let n = -64 + 62. Let d(v) = v**2 + 2*v + 2. Let y(x) be the second derivative of -x**3/6 - x**2/2 - x. Let m(s) = d(s) + 5*y(s). Determine m(n).
7
Let l(k) be the second derivative of -k**5/20 - 7*k**4/12 - k**3 + 2*k**2 - 10*k. Determine l(-6).
4
Let t(k) = -4*k**2 - 2*k + 1. Let r be t(1). Let y(w) = w**3 + 5*w**2 - 2*w - 3. Calculate y(r).
7
Let f(n) = 0 - 2 - 2*n**2 + 6*n**3 - 5*n**3 + 3*n - 2*n**3. Calculate f(2).
-12
Let i(h) = -h**3 + 3*h**2 + 3*h + 5. Let c(b) be the second derivative of 0*b**2 + 0 - 2/3*b**3 - 2*b. Let x be c(-1). Determine i(x).
1
Suppose 9 = -4*h + h. Let y(f) be the second derivative of -f**4/12 - 5*f**3/6 - 2*f**2 - 17*f. Determine y(h).
2
Let i(s) be the second derivative of s**5/20 - s**3/6 - s**2 - 3*s. Determine i(2).
4
Let a(d) = 4*d**2 + 10*d - 7. Let s(x) = -3*x**2 - 9*x + 6. Let b(u) = 4*a(u) + 5*s(u). Suppose -3*c + 3 = -3*w, 3 = -w + 2*c - 2. Calculate b(w).
-4
Let h(u) = 3*u**3 - u**2 + u - 1. Let f(t) = 2*t + 6. Let o be f(6). Suppose 0 = -3*j - 5*s + o, -s + 5 = -j + s. Determine h(j).
2
Let w(c) = 4 + 0*c - c**3 - 3*c**2 - c - 5 + 2*c. Give w(-2).
-7
Let x(t) = t - 5. Let u = 0 + 5. Suppose -3*f + y - 51 = -19, -f = -u*y + 20. Let r = 14 + f. Determine x(r).
-1
Let k(d) = 5*d**2 + 3. Let f(u) = -u**2. Let r(g) = 6*f(g) + k(g). Give r(-3).
-6
Let o = -10 + 12. Let v(u) be the first derivative of -1/2*u**2 - o - 5*u. Give v(-4).
-1
Let n(h) be the first derivative of h**2/2 - 7. Let f be 5*(-2 - -1) - 0. Determine n(f).
-5
Let k(u) = 3*u - 2. Suppose 30*d - 34*d + 12 = 0. What is k(d)?
7
Let o(g) = 2*g - 12. Let v be o(8). Suppose -1 - 7 = v*i. Let c be 0 + -2 + 7 + i. Let m(n) = n**2 - 3*n + 3. Determine m(c).
3
Let t(c) = c + 2. Let s(j) = j - 7. Let n be s(6). What is t(n)?
1
Suppose 0 = v - 5, 4*v = 5*p + 3*v. Let f(h) = 6*h. Let l be f(p). Let z(x) = -3*x + 2*x - 3*x**2 + 4*x**2 + l. Determine z(0).
6
Let a be 2/(-2*1)*-5. Suppose 8 = -w + a*w. Let v(n) = -n**2 + 9*n + 3. Let p(i) = -4*i - 1. Let j(l) = 5*p(l) + 2*v(l). What is j(w)?
-11
Let d(t) = 0*t - 2*t + t. Suppose -8*f + 2 = 10. Give d(f).
1
Let j(f) = 7*f**3. Let i(y) = -y**3 - y**2. Let k(o) = 6*i(o) + j(o). Give k(6).
0
Let t = -5 - -8. Let a(p) = 1 + t*p - p**3 + 0*p - p**2 - p - 2*p**2. Determine a(-3).
-5
Let d = 12 + -18. Let l = d + 4. Let f be ((-10)/2)/(2/l). Let x(j) = -j**2 + 5*j + 6. What is x(f)?
6
Let j(b) = -2*b - 6. Suppose 3*q = 3, -a = -0*a + q - 4. Let o(v) = 3*v + 12. Let g(m) = a*o(m) + 5*j(m). Give g(3).
3
Let j(g) = g**3 - 4*g**2 - 5*g + 2. Let z = 42 - 37. What is j(z)?
2
Let a(m) = -m - 3. Let n be a(-6). Suppose 2*u + 8 = 0, 2*k - n*u = -0*k + 20. Let i(s) = -k - s**2 + 1 + 3. Determine i(-2).
-4
Let x(l) = -12*l - 5. | {
"pile_set_name": "DM Mathematics"
} |
tive of -4*t**3 + 3 - 1 + t**g wrt t?
-9*t**2
Let r(n) be the second derivative of 0*n**3 + 1/6*n**6 + 5*n + 0 + 0*n**5 + 0*n**4 + 1/2*n**2. Differentiate r(f) with respect to f.
20*f**3
Let m(n) be the third derivative of 5*n**8/336 - n**4/12 + n**2. What is the second derivative of m(g) wrt g?
100*g**3
Let y(n) be the second derivative of n**7/840 - n**5/60 - n**4/2 + 2*n. Let p(z) be the third derivative of y(z). Differentiate p(u) with respect to u.
6*u
Let x(g) be the first derivative of -3*g**7/7 + g**6/2 - 2*g**3/3 - 3*g**2/2 + 5. Find the third derivative of x(u) wrt u.
-360*u**3 + 180*u**2
Suppose -2*t - 1 = -3*t. Differentiate 4*q**4 + 4*q**4 - 3*q**4 - t with respect to q.
20*q**3
Let j(m) be the first derivative of -14*m**3/3 - 2*m + 6. Differentiate j(y) wrt y.
-28*y
Let j(a) be the third derivative of 11*a**9/504 + a**5/30 + a**3/2 + 29*a**2. Find the third derivative of j(i) wrt i.
1320*i**3
Let t(a) be the third derivative of 0*a**7 + 0 + 0*a**5 - 5/24*a**4 - a**2 + 0*a**6 + 0*a**3 - 1/168*a**8 + 0*a. Find the second derivative of t(n) wrt n.
-40*n**3
Let o(p) = 9*p**6 + p**5 - p**4 + 21*p**2. Let m(z) = -z**6 - z**5 + z**4. Let w(d) = m(d) + o(d). What is the third derivative of w(t) wrt t?
960*t**3
Let p be (9/(-6))/((-3)/4). What is the second derivative of -n - 3*n**4 + p*n + 0*n wrt n?
-36*n**2
Suppose -15 = 16*m - 19*m. Let s(r) be the second derivative of 0 + 3*r + 0*r**4 - 1/2*r**2 + 1/10*r**m + 0*r**3. Differentiate s(k) wrt k.
6*k**2
Let a be (9/6)/(6/(-16)). Let z(p) = -2*p - 1. Let o(j) = 3*j + 2. Let h(i) = a*z(i) - 3*o(i). What is the derivative of h(n) wrt n?
-1
Let z = 11 + -9. What is the third derivative of 8*f**2 + 4*f**6 - 19*f**2 + 4*f**z wrt f?
480*f**3
Let b(t) = 3*t + 0*t - 3 - 4*t. Let v be b(-5). What is the third derivative of c**6 + 4*c**4 - 4*c**4 - v*c**2 wrt c?
120*c**3
Let r(a) be the first derivative of 0*a - 2/5*a**5 + 0*a**3 + 3 + 0*a**4 - 1/2*a**2. What is the second derivative of r(y) wrt y?
-24*y**2
Let u(f) = 25*f**2 + f - 15. Let n(r) = -12*r**2 - r + 7. Let l(c) = -5*n(c) - 3*u(c). Find the second derivative of l(k) wrt k.
-30
Let m(l) = 2*l**2 - 2*l. Let w(y) = y**2 + 3*y - 2*y + 3*y - 5*y. Let h(n) = -2*m(n) + 6*w(n). What is the second derivative of h(k) wrt k?
4
Suppose 136 = -3*n + 2*g, -5*n - 178 = -n - g. Let p be n/(-8) - (-2)/(-4). What is the second derivative of 5*j**5 + 3*j - 6*j**p - j**5 wrt j?
-40*j**3
Let q(g) = -3*g**5 - 2*g**3 - 16*g**2 + 2. Let p(k) = 2*k**5 + 3*k**3 + 16*k**2 - 3. Let v(h) = 2*p(h) + 3*q(h). What is the third derivative of v(o) wrt o?
-300*o**2
Let n(b) be the first derivative of 2*b**3/3 - 4*b - 2. Let a(g) = g - 1. Let o(z) = -4*a(z) + n(z). Find the second derivative of o(u) wrt u.
4
Let n be ((-24)/36)/((-5)/3). Let x(v) be the first derivative of -n*v**5 + 0*v**3 + 0*v**4 + 0*v + 1 - v**2. Find the second derivative of x(f) wrt f.
-24*f**2
Let r(i) = 6*i + 4. Let j be r(4). Differentiate -j + 25 - 6*b**3 + b**3 with respect to b.
-15*b**2
Let g(v) = 9*v**3 + 6*v**2 + 6*v + 4. Let l(b) = b**3 + b**2 + b + 1. Suppose -5 + 3 = 2*d. Let n(p) = d*g(p) + 6*l(p). Differentiate n(c) wrt c.
-9*c**2
Differentiate -16 - 36*c**2 + 8*c**3 + 36*c**2 + 4*c**3 with respect to c.
36*c**2
Find the third derivative of 5*d**5 + 2*d**2 + 0*d**5 + 4*d**2 wrt d.
300*d**2
Let d(u) = 2*u - 2. Let h be d(7). Let b = -7 - -12. Find the third derivative of -4*m**b - h + 12 - 4*m**2 wrt m.
-240*m**2
Let l(v) be the first derivative of -3*v**3 - 5*v - 2. What is the derivative of l(g) wrt g?
-18*g
Let a(r) = -10*r + 9. Let n(d) be the first derivative of 7*d**2/2 - 6*d + 4. Let h(y) = 5*a(y) + 7*n(y). Differentiate h(l) wrt l.
-1
Let x(t) = 14*t**6 + 3*t**4 - 6*t**2 + 3*t. Let s(u) = 15*u**6 + 2*u**4 - 7*u**2 + 2*u. Let n(w) = 3*s(w) - 2*x(w). Find the third derivative of n(j) wrt j.
2040*j**3
Suppose 0*h - 2*f = 4*h - 20, 2*f = h + 5. What is the first derivative of 0 + 28*z**3 - 5 - 24*z**h wrt z?
12*z**2
Suppose -n - l - 2*l = -5, -n = -2*l. What is the third derivative of 5*k**3 + 5*k**2 + 5*k**5 - k**n - 5*k**3 wrt k?
300*k**2
Let y(g) be the first derivative of 0*g + 0*g**2 + 0*g**4 - 3/5*g**5 + 1 + g**3. Find the third derivative of y(n) wrt n.
-72*n
What is the first derivative of -6 - 7 + 7 - 2*t wrt t?
-2
Let q(c) be the second derivative of c**7/840 + c**6/180 - c**4/12 + 3*c. Let m(l) be the third derivative of q(l). Find the second derivative of m(z) wrt z.
6
Suppose 0*w = -2*w + 4. Find the second derivative of -7*a - 2*a + 7*a**w + a + a wrt a.
14
Let i(s) = -1. Let y(r) = -12*r**2 + 11*r - 7. Let z(k) = -14*i(k) + 2*y(k). Find the second derivative of z(b) wrt b.
-48
Suppose u - 5*u = -16. Suppose -u*k = -2*w + 120, 4*k = -5*w + 206 + 80. What is the third derivative of 4*h**3 + 58*h + 3*h**2 - w*h wrt h?
24
Differentiate 3 + 2*s + 14 - 4 - 16*s with respect to s.
-14
Let y be 1 + -3 - 2/2. Let c be (6/(-8))/(y/12). Differentiate 1 - c + 0 + 2*d**2 wrt d.
4*d
Suppose 0 = -6*p + 8*p - 4. Suppose 5*c + 5*x - 16 = 2*x, 2*x = -2*c + 8. What is the first derivative of -s**2 - 3*s**p + 5*s**2 + c - 3*s**2 wrt s?
-4*s
Let c(g) be the first derivative of g**8/48 - g**5/60 + g**2/2 - 7. Let z(i) be the second derivative of c(i). Find the third derivative of z(u) wrt u.
420*u**2
Let v = -1 - -5. Differentiate 0*k**4 + 3*k**v + 1 - k**2 + k**2 wrt k.
12*k**3
What is the third derivative of -d**2 - 3*d**6 - 7*d**6 - 13*d**2 + 2*d**6 wrt d?
-960*d**3
Let s(t) be the first derivative of -t**7 + t**3 - 10. Find the third derivative of s(n) wrt n.
-840*n**3
Let t = 13 - 10. Differentiate -5*m**3 + 9*m**4 - m**3 + 6*m**t - 1 with respect to m.
36*m**3
Let t(r) = -r**2 - 5*r + 3. Let i be t(-8). Let l be i/6*4/(-7). Find the second derivative of -6*w**2 + 2*w**2 - 3*w + 0*w**2 + l*w**2 wrt w.
-4
Let l(y) = 2*y**3 - 2*y**2 + 5. Let t(p) = 2*p**3 - 2*p**2 + 4. Suppose 4 = 3*n + 19. Let d(x) = n*t(x) + 4*l(x). What is the third derivative of d(o) wrt o?
-12
Let t(q) be the second derivative of -9*q**8/56 + 11*q**4/12 + 8*q. Find the third derivative of t(j) wrt j.
-1080*j**3
Suppose 0 = 5*g - 10*g + 10. Find the third derivative of 2*f**6 + f**g - 2*f + 2*f - 2*f**2 wrt f.
240*f**3
Let a(i) = -4*i**4 - 2*i**3 - 1. Let l(u) = -2*u**3 - 2*u**4 + 5 + 13*u**3 + 23*u**4. Let g(n) = -11*a(n) - 2*l(n). What is the derivative of g(z) wrt z?
8*z**3
Let u(l) be the third derivative of 0 + 7*l**2 + 0*l + 0*l**3 + 1/30*l**5 + 1/8*l**4. What is the second derivative of u(p) wrt p?
4
Let x(w) be the third derivative of -16*w**7/105 - w**5/5 - 27*w**2. Find the third derivative of x(v) wrt v.
-768*v
Suppose 2*a = -5*n - 5, 5*a - n = 3*n + 37. Suppose a = -2*f + 7. Differentiate 0 + 4*v - f - v + v wrt v.
4
Let y(w) be the first derivative of -w**7/280 - w**6/360 + w**3/3 + 1. Let k(l) be the third derivative of y(l). Find the third derivative of k(u) wrt u.
-18
Let l(h) be the first derivative of 0*h**4 + 0*h**3 + 0*h**5 - 1/2*h**2 - 3 + 0*h + 7/6*h**6. What is the second derivative of l(u) wrt u?
140*u**3
Find the second derivative of -q**2 + 0*q**2 - 15*q - 6*q**2 wrt q.
-14
Let b(m) = -m**2 - 6*m + 5. Let h be b(-7). Let u be 2 + h/2*0. What is the second derivative of -u*a + 3*a**2 - 3*a + 2*a + a wrt a?
6
Let v(f) be the third derivative of f**9/504 + f**5/5 - 15*f**2. What is the third derivative of v(d) wrt d?
120*d**3
Let o(t) = t + 14. Let c be o(-9). Find the third derivative of 3*v**c + 2*v**5 + 0*v**5 - v**5 - 2*v**2 wrt v.
240*v**2
Let d(r) be the third derivative of 23*r**6/120 - 7*r**5/20 - r**2. Find the third derivative of d(o) wrt o.
138
Let g(m) be the second derivative of m**4/3 - 5*m**2 - 9*m. What is the derivative of g(i) wrt i?
8*i
Let q(k) be the second derivative of -19*k**5/20 - 10*k**2 + k. Differentiate q(u) with respect to u.
-57*u**2
Let p(w) = w. Let c(v) = -5 - 3*v + 3*v - v. Let b(y) = -c(y) - 2*p(y). Find the first derivative of b(a) wrt a.
-1
Let a(o) = 2 + 0*o**2 - 14*o**3 - 9*o**2 - 2. Let l(n) = -29*n**3 - 18*n**2. Let d(j) = -13*a(j) + 6*l(j). What is the third derivative of d(z) wrt z?
48
What is the second derivative of -6*j**5 - 24*j**3 - 3*j - 4*j**5 + 24*j**3 wrt j?
-200*j**3
Suppose 2*y = -4*r + 14, -3*r = y - 12 + 3. Suppose 5*q + 3*z = 2*z + 1 | {
"pile_set_name": "DM Mathematics"
} |
{s: 4, v: 2, g: 2}?
1/7
Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {s: 4, q: 2, b: 2, z: 1, l: 5}.
4/91
Four letters picked without replacement from {y: 2, k: 2, u: 4}. What is prob of picking 4 u?
1/70
Two letters picked without replacement from {s: 4, o: 1, d: 8, t: 2}. What is prob of picking 1 o and 1 s?
4/105
What is prob of picking 4 u when four letters picked without replacement from {u: 11, b: 1}?
2/3
What is prob of picking 1 f and 2 x when three letters picked without replacement from fxxfd?
1/5
Four letters picked without replacement from imrmrjlijrjllb. Give prob of picking 3 b and 1 j.
0
Two letters picked without replacement from {p: 2, e: 11}. Give prob of picking 2 e.
55/78
Three letters picked without replacement from {u: 5, n: 4, a: 1, l: 1, x: 1}. What is prob of picking 1 l, 1 a, and 1 x?
1/220
Two letters picked without replacement from oooffttt. What is prob of picking 2 t?
3/28
Calculate prob of picking 1 u, 1 v, and 1 h when three letters picked without replacement from {v: 8, h: 5, q: 2, x: 2, u: 1, c: 2}.
2/57
Two letters picked without replacement from {b: 7, l: 3, g: 2}. Give prob of picking 1 l and 1 g.
1/11
Two letters picked without replacement from rwkkllplwwlkk. What is prob of picking 1 r and 1 p?
1/78
Four letters picked without replacement from egzgldo. Give prob of picking 1 e, 1 l, 1 d, and 1 z.
1/35
What is prob of picking 3 g and 1 k when four letters picked without replacement from {v: 2, g: 6, m: 1, k: 1, o: 3, h: 2}?
4/273
Two letters picked without replacement from qybnnnynnnyw. Give prob of picking 2 y.
1/22
Three letters picked without replacement from ohhhhhhhz. What is prob of picking 3 h?
5/12
Two letters picked without replacement from {l: 2, z: 3, m: 6, g: 1, b: 2}. Give prob of picking 1 m and 1 g.
6/91
What is prob of picking 1 f and 2 i when three letters picked without replacement from {k: 5, f: 6, i: 4, w: 1}?
9/140
Calculate prob of picking 2 q and 1 a when three letters picked without replacement from qqtqqqttaaattaqetaa.
30/323
Two letters picked without replacement from {u: 5, t: 6, c: 5, i: 1}. What is prob of picking 1 u and 1 i?
5/136
What is prob of picking 2 z and 2 a when four letters picked without replacement from aazzazzz?
3/7
What is prob of picking 4 h when four letters picked without replacement from hhhhhhhhh?
1
What is prob of picking 2 q when two letters picked without replacement from {q: 2, c: 1, n: 1, o: 1, u: 1, b: 1}?
1/21
Four letters picked without replacement from dcicli. What is prob of picking 1 d, 1 c, 1 i, and 1 l?
4/15
Four letters picked without replacement from {f: 3, t: 8, e: 4, d: 2}. What is prob of picking 1 f and 3 e?
3/595
Calculate prob of picking 1 z and 3 w when four letters picked without replacement from zzzwwzzzzzzzwzzzzww.
35/969
Four letters picked without replacement from ruquqrly. What is prob of picking 1 q, 1 l, and 2 r?
1/35
Calculate prob of picking 2 o when two letters picked without replacement from oyoyyaaoayaooyoooooy.
9/38
Two letters picked without replacement from {s: 3, j: 2}. What is prob of picking 2 s?
3/10
Three letters picked without replacement from nccddcv. Give prob of picking 1 v, 1 c, and 1 n.
3/35
Two letters picked without replacement from flrhhha. What is prob of picking 1 l and 1 h?
1/7
Four letters picked without replacement from dduocrrcorcc. Give prob of picking 2 d, 1 c, and 1 u.
4/495
Four letters picked without replacement from {j: 2, g: 4, o: 5, b: 4}. Give prob of picking 1 o, 2 b, and 1 g.
8/91
Three letters picked without replacement from ffdfffmfmf. What is prob of picking 1 d and 2 f?
7/40
Three letters picked without replacement from bbbbnbbnnbbb. What is prob of picking 2 n and 1 b?
27/220
Three letters picked without replacement from {u: 11, t: 2}. What is prob of picking 1 u and 2 t?
1/26
What is prob of picking 4 i when four letters picked without replacement from tiiiitt?
1/35
Three letters picked without replacement from {u: 1, p: 2, a: 2, h: 2, y: 1, w: 1}. What is prob of picking 1 a, 1 p, and 1 h?
2/21
Calculate prob of picking 1 k and 1 s when two letters picked without replacement from ssbskibksisb.
5/33
Calculate prob of picking 2 n when two letters picked without replacement from tttnttntnnnnn.
7/26
Three letters picked without replacement from cuyukkcrykkkrkckkcu. Give prob of picking 2 u and 1 r.
2/323
Four letters picked without replacement from nnnphhphvnnxdnhhp. Give prob of picking 1 p, 1 d, 1 x, and 1 n.
9/1190
Four letters picked without replacement from jppjjjpj. Give prob of picking 4 p.
0
Four letters picked without replacement from fffofffof. Give prob of picking 2 o and 2 f.
1/6
Three letters picked without replacement from {b: 10, x: 9}. What is prob of picking 2 x and 1 b?
120/323
What is prob of picking 1 g and 2 y when three letters picked without replacement from gyyg?
1/2
Two letters picked without replacement from xyxww. What is prob of picking 2 x?
1/10
Two letters picked without replacement from {b: 5, p: 2, r: 1, w: 6, s: 2, z: 1}. What is prob of picking 1 z and 1 w?
3/68
What is prob of picking 1 a and 2 g when three letters picked without replacement from {a: 2, n: 1, c: 3, g: 2, s: 1, k: 3}?
1/110
Four letters picked without replacement from {i: 1, a: 3, k: 4, w: 2, f: 3, j: 3}. What is prob of picking 1 w, 2 a, and 1 k?
6/455
Calculate prob of picking 1 p, 1 c, and 2 f when four letters picked without replacement from {p: 1, x: 1, f: 2, v: 3, t: 4, c: 1}.
1/495
Two letters picked without replacement from weee. Give prob of picking 1 w and 1 e.
1/2
Four letters picked without replacement from cnccccn. Give prob of picking 4 c.
1/7
Two letters picked without replacement from {g: 1, o: 2, q: 7, v: 4}. Give prob of picking 2 q.
3/13
Calculate prob of picking 2 a when two letters picked without replacement from ahahhhahhhhhhhh.
1/35
Two letters picked without replacement from kkokkkojoekoogekk. Give prob of picking 1 e and 1 g.
1/68
Three letters picked without replacement from uxuxuuuu. Give prob of picking 1 x and 2 u.
15/28
Calculate prob of picking 2 t when two letters picked without replacement from {g: 1, t: 17}.
8/9
Four letters picked without replacement from qkqqrqqkckn. What is prob of picking 1 c and 3 r?
0
What is prob of picking 2 k and 1 m when three letters picked without replacement from kfmuuuffkfmfffukf?
3/340
Two letters picked without replacement from {u: 3, n: 2, p: 3}. Give prob of picking 2 n.
1/28
Two letters picked without replacement from {q: 1, c: 1, x: 1, g: 2, h: 1, v: 2}. Give prob of picking 1 g and 1 c.
1/14
Four letters picked without replacement from {g: 3, h: 4, p: 2, v: 1, f: 2}. Give prob of picking 1 h, 2 g, and 1 v.
4/165
Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {m: 4, c: 7, d: 1, h: 4, t: 1}.
3/85
Two letters picked without replacement from jhjohjjhhjjmjjm. Give prob of picking 1 o and 1 m.
2/105
What is prob of picking 1 d, 1 w, and 1 n when three letters picked without replacement from dwnndnn?
8/35
Calculate prob of picking 2 n, 1 x, and 1 t when four letters picked without replacement from {n: 1, t: 1, s: 1, c: 1, e: 6, x: 1}.
0
Two letters picked without replacement from {v: 3, n: 4, z: 6}. What is prob of picking 2 n?
1/13
Two letters picked without replacement from jdjviaj. Give prob of picking 2 j.
1/7
Calculate prob of picking 2 t and 1 a when three letters picked without replacement from {o: 7, t: 12, a: 1}.
11/190
Three letters picked without replacement from {i: 1, l: 3, c: 1}. Give prob of picking 3 c.
0
Four letters picked without replacement from qqrrrqrrqqrrqrqr. What is prob of picking 1 q and 3 r?
21/65
Calculate prob of picking 1 q and 2 z when three letters picked without replacement from qgzqqiissstzgstiss.
1/272
What is prob of picking 3 q when three letters picked without replacement from {o: 4, q: 5, z: 6}?
2/91
Two letters picked without replacement from {k: 2, h: 3}. What is prob of picking 1 h and 1 k?
3/5
What is prob of picking 1 z and 1 f when two letters picked without replacement from bbdzlfb?
1/21
What is prob of picking 1 l and 1 p when two letters picked without replacement from {w: 1, z: 1, l: 2, | {
"pile_set_name": "DM Mathematics"
} |
late prob of picking 1 p, 1 m, and 1 q when three letters picked without replacement from ppaggpmpdmqqaa.
4/91
Three letters picked without replacement from {d: 4, u: 7}. Give prob of picking 1 d and 2 u.
28/55
Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {l: 4, n: 5, x: 1, p: 3}.
20/143
Two letters picked without replacement from {v: 7, k: 2, j: 6}. Give prob of picking 2 k.
1/105
Three letters picked without replacement from sqsssssq. What is prob of picking 1 s and 2 q?
3/28
Calculate prob of picking 2 a and 1 u when three letters picked without replacement from neeaaaammue.
2/55
Four letters picked without replacement from {z: 14, q: 4}. Give prob of picking 4 z.
1001/3060
Two letters picked without replacement from zzuzzhhhzzzzh. Give prob of picking 1 u and 1 z.
4/39
Four letters picked without replacement from {n: 6, v: 2, k: 10}. Give prob of picking 1 n, 1 v, and 2 k.
3/17
What is prob of picking 1 l and 1 b when two letters picked without replacement from lsslfsllsssbbulfb?
15/136
Three letters picked without replacement from {r: 3, s: 1, q: 7, y: 3}. Give prob of picking 1 r, 1 y, and 1 q.
9/52
Three letters picked without replacement from krkrrr. Give prob of picking 1 r and 2 k.
1/5
What is prob of picking 3 v and 1 m when four letters picked without replacement from {v: 1, a: 3, m: 1}?
0
Four letters picked without replacement from jhwhwmmwowhohmmhtjmw. Give prob of picking 1 o, 1 h, and 2 j.
2/969
What is prob of picking 1 o, 2 k, and 1 f when four letters picked without replacement from skkooffsvyos?
2/165
Calculate prob of picking 2 e and 1 f when three letters picked without replacement from eeffffff.
3/28
Four letters picked without replacement from ttatwwwrawc. Give prob of picking 1 r, 2 a, and 1 t.
1/110
Four letters picked without replacement from {s: 2, k: 6, j: 9}. Give prob of picking 1 s, 2 k, and 1 j.
27/238
Two letters picked without replacement from {g: 1, h: 3, s: 1, i: 2}. What is prob of picking 1 g and 1 i?
2/21
Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {b: 11, c: 3, q: 4}.
11/51
Two letters picked without replacement from {s: 1, p: 2, n: 4, i: 1, g: 1, r: 6}. What is prob of picking 1 p and 1 i?
2/105
Four letters picked without replacement from {b: 4, t: 3, u: 2}. Give prob of picking 2 b and 2 u.
1/21
Two letters picked without replacement from {a: 3, h: 2, l: 5, o: 2}. Give prob of picking 2 l.
5/33
Three letters picked without replacement from jcbfcbjcbbccbccj. What is prob of picking 1 b and 2 j?
3/112
Calculate prob of picking 2 f, 1 q, and 1 w when four letters picked without replacement from oowqqijffqjj.
1/165
Calculate prob of picking 1 d and 1 o when two letters picked without replacement from doi.
1/3
Three letters picked without replacement from nnvggggdnngnnndz. Give prob of picking 2 g and 1 n.
1/8
Calculate prob of picking 2 e when two letters picked without replacement from {e: 3}.
1
Three letters picked without replacement from zwwwwwwzzwwiwzwwzwww. What is prob of picking 3 z?
1/114
Three letters picked without replacement from ffvhmh. What is prob of picking 1 v and 2 h?
1/20
Two letters picked without replacement from gqh. Give prob of picking 1 h and 1 q.
1/3
Three letters picked without replacement from {g: 2, q: 8, e: 4, l: 1}. Give prob of picking 1 g and 2 q.
8/65
Four letters picked without replacement from ohhhoomoo. What is prob of picking 1 o and 3 m?
0
What is prob of picking 2 v, 1 z, and 1 q when four letters picked without replacement from vvvqqvqzqz?
8/35
Two letters picked without replacement from zvg. Give prob of picking 1 z and 1 g.
1/3
What is prob of picking 1 v, 1 i, and 2 a when four letters picked without replacement from aasamsvvvsvimvvm?
9/910
Four letters picked without replacement from iiiiccicici. What is prob of picking 2 c and 2 i?
21/55
Calculate prob of picking 2 e when two letters picked without replacement from eee.
1
Calculate prob of picking 2 t and 2 x when four letters picked without replacement from xttyxxxxttt.
10/33
Two letters picked without replacement from {x: 4, f: 6, g: 7}. Give prob of picking 1 g and 1 x.
7/34
Four letters picked without replacement from sssossos. Give prob of picking 2 s and 2 o.
3/14
What is prob of picking 1 e and 2 y when three letters picked without replacement from mabybbbebbbaybbmy?
3/680
Calculate prob of picking 1 j and 3 k when four letters picked without replacement from {j: 3, k: 9}.
28/55
What is prob of picking 1 k and 3 y when four letters picked without replacement from kkkuykyyyk?
2/21
Four letters picked without replacement from {h: 2, i: 3, u: 1, n: 2, l: 6}. Give prob of picking 2 l and 2 h.
15/1001
Three letters picked without replacement from {p: 2, t: 9, w: 8}. Give prob of picking 3 w.
56/969
Two letters picked without replacement from asarrrrdsaawwosaaada. Give prob of picking 1 d and 1 a.
8/95
Calculate prob of picking 1 d and 1 p when two letters picked without replacement from zpddzddpdp.
1/3
Two letters picked without replacement from mmmsqhoomm. What is prob of picking 1 o and 1 m?
2/9
Two letters picked without replacement from {l: 11, r: 2, h: 2}. Give prob of picking 2 r.
1/105
Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {k: 5, g: 11}.
55/182
What is prob of picking 1 q and 2 x when three letters picked without replacement from wqxphwpqqqqhhqhxqxqh?
2/95
Two letters picked without replacement from {d: 1, i: 7, p: 9, z: 1}. What is prob of picking 2 i?
7/51
What is prob of picking 2 u when two letters picked without replacement from {u: 3}?
1
Three letters picked without replacement from {a: 2, j: 1, k: 1, h: 4, z: 1}. Give prob of picking 2 a and 1 z.
1/84
Four letters picked without replacement from mmqqgqmqmmqmggqqqmq. What is prob of picking 4 g?
0
What is prob of picking 3 l when three letters picked without replacement from llllnllllllllllllnl?
40/57
What is prob of picking 1 k and 2 i when three letters picked without replacement from {i: 5, j: 7, g: 1, k: 1}?
5/182
Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {g: 1, q: 1, p: 3, m: 5, w: 1, j: 1}.
1/22
What is prob of picking 1 k and 1 f when two letters picked without replacement from kkkfukmkmmkif?
2/13
Calculate prob of picking 1 f and 2 n when three letters picked without replacement from fnfffnffnfffffff.
39/560
What is prob of picking 1 f and 2 n when three letters picked without replacement from {f: 4, w: 5, n: 6}?
12/91
Three letters picked without replacement from {j: 9}. Give prob of picking 3 j.
1
Four letters picked without replacement from {y: 1, v: 3, d: 3, q: 3}. What is prob of picking 1 d, 2 v, and 1 y?
3/70
Four letters picked without replacement from zkkzfwzffkfwffzufk. Give prob of picking 3 f and 1 w.
7/306
What is prob of picking 1 p and 1 q when two letters picked without replacement from {d: 1, y: 1, m: 1, p: 1, q: 1}?
1/10
Calculate prob of picking 1 g and 1 s when two letters picked without replacement from sskgkksksk.
4/45
Four letters picked without replacement from {v: 5}. Give prob of picking 4 v.
1
Two letters picked without replacement from ryro. Give prob of picking 1 y and 1 o.
1/6
Calculate prob of picking 2 s and 1 x when three letters picked without replacement from xvsasxx.
3/35
Two letters picked without replacement from wwwcucwcqcwuwccccw. What is prob of picking 2 w?
7/51
What is prob of picking 1 m and 3 a when four letters picked without replacement from {v: 2, a: 5, m: 3}?
1/7
Four letters picked without replacement from {q: 1, b: 7, t: 2}. What is prob of picking 4 b?
1/6
What is prob of picking 2 y when two letters picked without replacement from yyxxxyyxxx?
2/15
Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {s: 1, k: 3, e: 1, n: 1, z: 8, c: 2}.
1/120
Two letters picked without replacement from wbwnclnnlwnb. What is prob of picking 1 c and 1 l?
1/33
Two letters picked without replacement from {c: 2, f: 1, d: 1, z: 2, q: 3, n: 3}. What is prob of picking 2 n?
1/22
Four letters picked without replacement from yvkykkvkaayyxyyxy. What is prob of picking 2 y and 2 k?
9/170
Calcul | {
"pile_set_name": "DM Mathematics"
} |
to t? (a) v (b) -11 (c) -1/10
a
Let m = -2.1 + 2. Let w(v) = -2*v**2 - 4*v + 20. Let y be w(-4). Let r be (-1 + (-52)/(-36))*y/(-8). What is the closest to m in 4, r, 3?
r
Let k = -529 + 476. Let j(i) = -i**3 - 17*i**2 - 18*i - 29. Let z be j(-16). Which is the closest to 0.1? (a) k (b) 0.3 (c) 2/9 (d) z
c
Let x = -2000.6 + 2001. Let r = -0.4 + 0.45. Let i = r + -4.05. Which is the closest to 2/5? (a) x (b) -1 (c) i
a
Let j = 0.7 - 1.7. Let o(v) = -5*v**3 + 42*v**2 + 32*v - 46. Let r be o(9). Which is the nearest to j? (a) r (b) -0.3 (c) -1/2
a
Let p = 0.976 - -0.024. Let w be (-2)/7 - 27/28. Suppose 0 = 5*q + 3*z + 23, -3*z + 11 = -5*q - 6. What is the closest to p in 4, q, w?
w
Suppose -4*a + 5*q + 24 = 0, 5*a + 55*q - 57*q = 13. Let p = 47 - 233/5. Suppose 0 = 3*j + 2 + 1. What is the closest to -2/7 in a, j, p?
p
Let i = 3586/13 + -276. Suppose 0 = -2*h - d + 12, h + 0*d - 9 = -2*d. Let n = -38703 + 38695. Which is the nearest to 0? (a) i (b) h (c) n
a
Let l = 15584 - 15584.011. What is the closest to -4/5 in l, -4, -1?
-1
Let n = 4006.1 - 4006. Which is the closest to n? (a) -11/4 (b) -2/3 (c) 3 (d) 0
d
Let k = -11452 - -11370. Which is the closest to 0? (a) k (b) 0 (c) 10
b
Let t be 91/(-140) + (-1)/10. Let o = 27 + -53/2. Which is the closest to 2? (a) o (b) -2/5 (c) 0.2 (d) t
a
Let g = -1.5499 - 1.4501. Which is the nearest to 1/2? (a) 2/7 (b) -5 (c) 2/61 (d) g
a
Suppose -1615*u = -1571*u. Which is the nearest to -0.3? (a) 3 (b) 2.1 (c) u
c
Suppose 21 = 2*z + 5*r, -817*z = -820*z - 5*r + 24. Which is the closest to -2/11? (a) z (b) -19 (c) -0.4 (d) 4
c
Let v = 92 + -155.4. Let f = -63.5 - v. What is the nearest to f in -0.4, 1, 3?
-0.4
Let q = -1/54 - -41/27. Let d = -5.837 - -5.57. Let f = d - -0.367. Which is the nearest to f? (a) 2 (b) -3 (c) q
c
Let g = 457.81 + -461. Let d = g - 1.81. What is the nearest to 1/4 in d, 0.5, 5/2?
0.5
Let j = -774.21 - -774. What is the closest to -2 in -4/7, 14, j?
-4/7
Let g = -512 - -335. Let j = 177.09 + g. Suppose -4*p = 2*t + 6 - 16, 0 = 4*p - 12. Which is the nearest to j? (a) -0.2 (b) t (c) 0.2
c
Let m = 38.342 - -4.658. Which is the nearest to 0? (a) 3 (b) -0.2 (c) m
b
Let t = -248.891 - -249. Let q = -72.109 + t. Let x = -88 - q. What is the nearest to 3 in x, -4, -3/4?
-3/4
Let v = 7614 - 7614.049. Which is the closest to -1? (a) v (b) 0.1 (c) -1/4
c
Let k = -3.442 - -3.842. Let m = -13 + 10. What is the closest to -3 in m, 3, -2/17, k?
m
Let l = 51 + -56. Let r = 879 - 879.4. Which is the closest to 9? (a) r (b) -4 (c) l
a
Let o be (-3)/(-2)*4/18. Let h = -8244.1 - -8241.1. What is the nearest to 29 in h, 4/5, o?
4/5
Suppose f + 4*v - 33 + 12 = 0, 0 = -2*f - 4*v + 22. Let a = 845.8631 - -0.1369. Let i = 848 - a. What is the nearest to f in -3, i, 3?
i
Let s = 452 + -722. Let t = s - -269.9. Let z = -0.68 - -0.6. What is the nearest to -1/4 in 5, z, t?
t
Let x be (5*7/(-350))/1. What is the nearest to -1/3 in -16, x, 3?
x
Let x = 73 + -78. Let u(i) = -2*i**2 - 26*i - 4. Let m be u(-13). Suppose 28*l - 10 = 23*l. What is the nearest to l in -2/3, x, m?
-2/3
Let s be (((-306)/(-21))/1)/(-2) + -1 + 8. What is the nearest to 18/7 in -1, 0.11, 1/10, s?
0.11
Suppose 0 = -2*h - 2*d + 3*d, 5*h + d = -7. Suppose -6 = 5*s + 3*f, 0 = -5*s + 3*f - 0*f - 24. Which is the closest to -1? (a) h (b) 3 (c) s
a
Let i(w) = 5*w - 1. Let f be i(1). Let y = -1.76527 + 1.66527. What is the nearest to y in f, 5, -0.08?
-0.08
Let z = -12.194 + 11.994. Which is the nearest to 0? (a) -0.08 (b) z (c) -70
a
Let n = -26.8 - -26.8. Let o = -3.4 + 0.4. Let w = o + -1. What is the closest to n in -1, 2/3, w?
2/3
Let f be (-5)/(70/6) + 3401/133 + -25. Let v = 3 - 0. Which is the closest to 2/5? (a) f (b) -0.08 (c) v (d) 0.3
d
Let d be (-4)/(-64) + 918/2720. Which is the nearest to d? (a) -0.1 (b) -1 (c) 135/8
a
Let i = -51.2 + 51.13. Let t = 242 - 245. Which is the closest to i? (a) t (b) 1 (c) -4/7
c
Let i = 5330 - 5335. Which is the closest to 2/71? (a) i (b) 30/17 (c) 0.5
c
Let s = 2388 + -2392. What is the nearest to 4 in -26, s, 1, -0.2?
1
Let p be (36 - 6831/189)*(1 + -3). Which is the closest to 2/21? (a) -0.3 (b) -2/7 (c) p (d) -13
c
Let a = 12.051 + -11.951. What is the closest to a in 13, 0.5, -5/3, 3?
0.5
Let y = 67 + -337/5. Let k = -756 - -757. Which is the nearest to 1? (a) y (b) k (c) 0.2
b
Let t be (1528/192 - 8)/(5/(-30)). Let m = 46 + -42. What is the closest to t in -3, m, 5?
-3
Let l = 30.256 + -30.476. Which is the closest to 0? (a) 2/11 (b) -3 (c) l (d) 1/5
a
Let f = 0.42635 + -0.32635. What is the nearest to f in 0.3, -5/4, -37?
0.3
Let x be ((48/20)/6)/((-4)/15). Which is the nearest to -1? (a) 1/4 (b) x (c) -35 (d) -5/2
b
Let y(t) = -2*t - 6. Let j be y(-4). Let u be (4/j)/(2 + -3). Suppose -5*w = o - 0 - 25, 0 = -w + 3*o + 5. Which is the closest to -2/25? (a) w (b) 0.3 (c) u
b
Let j = 0.36 + -2.36. Let d = 277/344 - 40/43. Which is the closest to j? (a) -4 (b) 5/2 (c) d
c
Let t = -7/4 - -9/4. Let f(h) = -h**3 - 8*h**2 + 5*h - 20. Let y be f(-9). Let l be ((-27)/18)/(6/y). Which is the closest to t? (a) -0.5 (b) l (c) -1/8
c
Let i be ((-14)/6)/((-896)/128). Let y = 8/3 + -10/3. What is the nearest to y in -4, i, 2/3, -0.2?
-0.2
Let j = -0.8 - -1. Let n = 102.042 - 102. Let k = 0.142 - n. Which is the closest to -3? (a) k (b) 2/17 (c) j
a
Let u be 2/(-4) - (-3)/2. Let l be (7 + (-2 - 1))/(-2). Let v be 252/495 + l/(-22). Which is the nearest to -0.1? (a) 1/3 (b) v (c) u
a
Let u = 7611/4 + -1903. Let f be (-6)/(-24) + 22/8. What is the closest to -2 in f, u, -1?
-1
Let m(g) = -2*g**3 - 24*g**2 - 22*g + 2. Let f be m(-11). Let n be f + 25/(-10) + (-3)/(-4). Which is the nearest to -3/4? (a) 4 (b) -1/2 (c) n (d) 0.2
b
Let s be (4 - (-2)/50*-55)*5. Which is the closest to 0.3? (a) s (b) 0.3 (c) -2/13
b
Let h be -4 + ((-12)/(-3) - 4/4). What is the nearest to 10 in -0.2, h, 0.5, -24?
0.5
Let j = -1 + -1. Let r = 44/1561 - 267/1561. What is the nearest to j in 0.5, 0.1, r, 2?
r
Let j be (2 + 3 - 3)/6. Let x = 34 - 71/2. Let l = -0.9 - 4.1. What is the closest to j in x, l, -0.02?
-0.02
Let z = 0.604 + -0.139. Let k = z - 0. Let h = 0.035 + k. Which is the closest to -0.2? (a) 0.1 (b) h (c) 0.2
a
Let d = 0.2 + -2.2. Let y = 153386 + -306767/2. Which is the closest to -1? (a) 0.1 (b) d (c) y
b
Let g = 3778 + -3777. Which is the nearest to 0? (a) -0.09 (b) 0.5 (c) g (d) -0.4
a
Suppose 133*y + 36 = 142*y. Which is the nearest to -0.3? (a) -0.3 (b) 2/13 (c) -4 (d) y
a
Let d = -0.1 - 0. Let a = -26 - -33. Let q be a + (1*-1)/(10/20). What is the nearest to 0.1 in q, d, 1?
d
Let s(b) = b**2 + 12*b - 21. Let p be s(-14). Suppose -9 = -2*y + l, -5*l - 12 - 3 = 0. Suppose p*v - 6*v + y = 0. What is the closest to 1 in -1/6, -13, v?
-1/6
Let j = -266664/5 + 52857. Let w = j - -477. What is the nearest to 0 in 0.7, 2, w?
0.7
Let k(h) = 15*h - 1286. Let w be k(87). Which is the closest to w? (a) -1/2 (b) -7/2 (c) 0.4
c
Let b = -0.4 + 0.8. Let q = -1241 - -1218. What is the nearest to -1 in b, 1/3, q?
1/3
Let g be 6 + -2*236/32 + (19 - 11). Which is the closest to 1? (a) 12 (b) -2/15 (c) 0 (d) g
c
Let o(n) = -20*n + 74. Let y(p) = 4*p - 15. Let h(m) = 3*o(m) + 14*y(m). Let i be h(7). Let x = 18 + i. Which is the nearest to x? (a) -1 (b) -1/2 (c) -2/25
c
Let g = 0.55 - -0.15. Let u = 0.4 - g. Let a = -23.123 - -0.123. What is the closest to 0.1 in u, 4, a?
u
Let r = -21.14 + 17.14. What is the closest to 97 in 0.1, r, -5?
0.1
Let d = 69.6 + -69.3. What is the closest to -1 in d, -1, 5, 10?
-1
Let l = 0.0017 - 55.2017. Let d = 55 + l. Which is the closest to 15? (a) 2/3 (b) d (c) 4
c
Let j = 1992 - 1991. Let r = 1.2 + -1.2. Let y = 0 - r. Which is the nearest to y? (a) j (b) 0 (c) -4/5
b
Let k = -1051/13 - -81. Let p = -53 - -26. Let l = p + 25. Which is the closest to 1? (a) l (b) 2 (c) k
c
Let t be -1*3 + (-140)/(-7). Let u(i) = -2*i**2 + 34*i - 12. Let w be u(t). Let m be 24/w*(-1)/18*2. What is the closest to 0 in 0.6, m, -5?
m
Let z = -113 + 113.3. What is the closest to 5.7 in 5, -1/4, 0.4, z?
5
Let y = -63586/9 + 7065. Let q = -47/6 - -28/3. Which is the closest to 1? | {
"pile_set_name": "DM Mathematics"
} |
. Let t be l(-4). Let g = t - p. Round g to the nearest 100.
1100
Let b be 92799999/(-4) - 2*4/32. Round b to the nearest one million.
-23000000
Let h be ((-6)/9 - -1)*-3. Let m be 3*(-6)/(-9) - h. Suppose -m*k + 2*k - 140000 = 0. Round k to the nearest one hundred thousand.
-100000
Let n = -12 - -24. Let c = -401928 - -401939.99885. Let y = c - n. What is y rounded to four decimal places?
-0.0012
Let j = 1.13141 + -1.13. Round j to four decimal places.
0.0014
Suppose 2*x - 16132210 = -n, 0 = 2*n - 5*x + 3*x - 32264402. Let z = n + -32932204. What is z rounded to the nearest 1000000?
-17000000
Let z = -158 - -157.9999899. What is z rounded to 6 decimal places?
-0.00001
Let s = 252.43 + -254. What is s rounded to 1 decimal place?
-1.6
Let q = 33.074 - 33. Round q to 2 decimal places.
0.07
Let m = 8.981679 - 11189890.981679. Let r = -11189879.4000052 - m. Let t = 2.6 - r. What is t rounded to six dps?
0.000005
Let w = 5 + -13. Let h = -6 - w. Let f = h - 2.00006. Round f to five decimal places.
-0.00006
Let c(y) = -17*y**2 + 7*y - 10. Let h be c(6). What is h rounded to the nearest one hundred?
-600
Let y = 110533.8 + -110480.80084. Let j = -81 - -28. Let q = y + j. Round q to four decimal places.
-0.0008
Suppose 5*l = 2*t - 3, -4*l = 4*t - 7 - 13. Let z be (-2 + 4)*-25*l. Let a be -3900*z/(-3)*10. Round a to the nearest one hundred thousand.
-700000
Suppose i + 3*g - 137 = 0, -5*i + g + 702 = -g. Suppose 4*x = -x + i. Round x to the nearest ten.
30
Let i = -15 - -21. Suppose 2*f - 3*j = i*f - 40799988, 5*j = -3*f + 30599980. What is f rounded to the nearest one million?
10000000
Let g(i) = -952856*i + 6. Let o be g(-5). Let q = o - 3164286. What is q rounded to the nearest 1000000?
2000000
Let z = 9.8999833 - 9.9. Round z to six decimal places.
-0.000017
Let z = 8 - 14. Let k = -5.873321011 + -0.126679289. Let l = z - k. What is l rounded to six decimal places?
0
Let o(g) = g**2 + g - 2. Let r be o(2). Suppose 4*n = -0*s + r*s - 68, -3*n = -3. What is s rounded to the nearest 10?
20
Let l = -3.7 + -0.3. Let a = 3.9999994 + l. Round a to seven dps.
-0.0000006
Let n(z) = 6*z**2 + 2*z + 1. Let s = 2 - 4. Let f be n(s). Let k be ((-266)/f)/((-2)/60). Round k to the nearest one hundred.
400
Let q = 100.986 - -0.014. Let r = -96376 + 96274.931. Let s = q + r. What is s rounded to two dps?
-0.07
Let b = -53 - -52.999969. What is b rounded to five decimal places?
-0.00003
Let y = 5619454.3002 + -5618760. Let f = -693.3 + y. Let q = 1 - f. What is q rounded to 4 decimal places?
-0.0002
Let k(y) = y**3 - 6*y**2 - y + 4. Let j be k(6). Let w = 5 + j. Suppose w*l = -2*l + 420000. What is l rounded to the nearest 10000?
80000
Suppose 3*c - 7075 = 23225. What is c rounded to the nearest 1000?
10000
Let l = -25056050594879 + 25056028075406.000058. Let a = l + 22519454. Let i = -19 - a. What is i rounded to 5 decimal places?
-0.00006
Let k = -417748 - -413951.407. Let w = k + 3846.59418. Let n = -50 + w. What is n rounded to 4 dps?
0.0012
Let k = 202 + -201.99999662. Round k to seven dps.
0.0000034
Let p = 18 - 13.2. What is p rounded to 0 dps?
5
Let k = -0.0279 - -0.0052. Let i = -0.018 - k. What is i rounded to 3 decimal places?
0.005
Let y = -158 + 157.689. What is y rounded to 1 dp?
-0.3
Let y = -0.7 + -0.2. Round y to the nearest integer.
-1
Suppose 3*s - 4*s = 0. Let v be -1100000 + (2 - 2) + s. What is v rounded to the nearest one hundred thousand?
-1100000
Let p = -0.24 + 0.24012. What is p rounded to 5 decimal places?
0.00012
Let m = 0.2456 - 0.0426. What is m rounded to 2 decimal places?
0.2
Let n = 6315 + -6311.9985. Let u = 7 - 4. Let r = u - n. What is r rounded to three dps?
-0.002
Let a = -1.074 - 0.066. Round a to one decimal place.
-1.1
Let o = -42.99976 + 43. Round o to 4 decimal places.
0.0002
Let l = 0.0195 - 0.019733. What is l rounded to five dps?
-0.00023
Let t = -193013 + 192928.037. Let u = 270 - 185. Let n = t + u. What is n rounded to two decimal places?
0.04
Let n(c) = -27668*c**2 - c + 9. Let j be n(-3). Round j to the nearest one hundred thousand.
-200000
Let u = 64 + -24. Let i = u - 39.34. What is i rounded to 1 dp?
0.7
Let w be 8/6*3 + -2. Suppose 0 = 3*t + w*t + 15. Let u be (-608)/12 + 1/t. Round u to the nearest ten.
-50
Let d = 13012 + -5312. Round d to the nearest one thousand.
8000
Let i = -53.99936 - -54. What is i rounded to 4 decimal places?
0.0006
Let j be 4/6*(5 - 2). Suppose 0 = j*h + g + 8204, 5*g - 157 = h + 3923. Round h to the nearest one thousand.
-4000
Let i = -0.57 - -0.57000119. Round i to 7 decimal places.
0.0000012
Let r be (-253 - -1)*80/(-32). What is r rounded to the nearest one hundred?
600
Suppose -2*g + 317200 + 888696 = 0. Let l = g - 902948. What is l rounded to the nearest one million?
0
Suppose -g = -22256 + 3956. What is g rounded to the nearest one thousand?
18000
Let c = -6.715 + 4.7873. Let i = c - -1.828. Let r = -0.1 - i. Round r to four dps.
-0.0003
Let z = -113.00019 - -113. Round z to 5 decimal places.
-0.00019
Let i = 1.11 + 0.01. Round i to one decimal place.
1.1
Let j = -5.6 + 5. Let p = j + -0.4. Let w = p - -0.983. Round w to 2 dps.
-0.02
Let a(v) = 23*v**2 + 5*v - 6. Let p be a(5). Suppose 5*n - p = -2*s, -s = 1 - 3. What is n rounded to the nearest ten?
120
Let c = 20.7 + 62.3. Let a = c - 82.99999923. What is a rounded to 7 dps?
0.0000008
Let z be (1 + (-1 - -100))*3096/(-40). What is z rounded to the nearest one thousand?
-8000
Let u = 577.409 - 366.29. Let h = -211 + u. What is h rounded to 2 dps?
0.12
Let g = -0.37 + -1.03. What is g rounded to zero dps?
-1
Suppose -5*h - r + 3849998 = 0, 3*h + 5*r - 3323137 + 1013147 = 0. What is h rounded to the nearest 100000?
800000
Let k(u) = -u**2 + 4*u + 2. Let y be k(4). Let x(m) = m**2 - 2*m - 5. Let l be x(5). Let p be (-6)/l*(-10)/y. What is p rounded to the nearest 10?
0
Let o = -1418158 - -831802. Let a(d) = -1216357*d**3 - d**2 + d + 1. Let h be a(-1). Let t = h + o. Round t to the nearest 100000.
600000
Suppose 147 = 5*v - 3*d, -v + 4*d + 26 = -0. Let j be v/4*520/6. What is j rounded to the nearest 100?
700
Let g = -39.278466039575 - 1804476.891533610425. Let q = g + 1804512.17. Let u = -4 - q. What is u rounded to seven decimal places?
-0.0000004
Let b = 478.000000207 + -478. Round b to 7 dps.
0.0000002
Let r = -32 + 32.95. Round r to one dp.
1
Let s = 97.23 + -0.23. Let c = s - 97.0000043. Round c to 6 dps.
-0.000004
Let w = -28.0000058 - -28. Round w to six decimal places.
-0.000006
Let q = -25.9951 - -26. Round q to three dps.
0.005
Let p = -16.74 - -20.7. What is p rounded to the nearest integer?
4
Let p(z) = -250*z**2. Suppose -4*r = -3*r - 2*j + 10, 0 = -2*r - 5*j + 16. Let x = r - -4. Let d be p(x). Round d to the nearest 10000.
0
Let y = 76 - 171. Let c = -94.99947 - y. What is c rounded to four decimal places?
0.0005
Let n = -0.24 + -0.06. Let d = n - -0.7. Let m = d - 0.3. Round m to the nearest integer.
0
Let o = 17 + -16.82. Let v = o - 0.27. Let r = -0.0907 - v. What is r rounded to four decimal places?
-0.0007
Let v be 4066212/(-54) - (-2)/9. Round v to the nearest one thousand.
-75000
Let n = -0.1 - -2. Let z = n - 1.89935. Round z to four dps.
0.0007
Let n(r) = -6*r**3 + 6*r**2 + 18*r - 4. Let o be n(-6). What is o rounded to the nearest 1000?
1000
Let i = -10.1 - -10.0999947. Round i to 6 dps.
-0.000005
Let l = 1933 + 2641. Let r = 215 + -1441. Let j = l - r. Round j to the nearest one thousand.
6000
Let t = 3.9937979 - 11.9938015. Let k = t + 8. Round k to 6 decimal places.
-0.000004
Let k = 7039 + -15111. Let u = k + 14072. What is u rounded to the nearest one thousand?
6000
Let n be ((-40)/24)/((-1)/3). Suppose -2*k = 3*c + 362000, c = -n*k + 5*c - 905000. Round k to the nearest 10000.
-180000
Let m = 2.52 - 0.02. Let j = -1.6 + m. Let o = j + -0.893. Round o to three dps.
0.007
Suppose 5*h = 3735 + 8765. Round h to the nearest one thousand.
3000
Let v = 132 - 142.6. Let c = -10.60000114 - v. What is c rounded to seven decimal places?
-0.0000011
Let j = -0.273 + 144.273. Let a = 75604022.4 + -75604166.4000114. Let d = j + a. What is d rounded to 6 dps?
-0.000011
Let d = -13797 + 7925. Let j = -1872 - d. What is j rounded to the nearest 10000?
0
Let s = 35408 + -5408. What is s rounded to the nearest 10 | {
"pile_set_name": "DM Mathematics"
} |
ulate -5*b(m) - 6*h(m).
-2*m**3 + 2*m - 2
Let f(t) = -9*t. Let z(p) = 9*p. Give 6*f(w) + 5*z(w).
-9*w
Let i(q) = -2*q**2 - 3. Suppose 4 = -5*k + 19. Let f(o) = o**2 + 2. Determine k*f(x) + 2*i(x).
-x**2
Let y = -9 + 8. Let n(z) = -z**3 + 6. Suppose 0 = 2*k + 4 - 12. Let q(v) = 1. Let l(m) = 5. Let s(x) = k*q(x) - l(x). What is y*n(u) - 6*s(u)?
u**3
Let y(d) = 3*d**2 - 1. Let k(s) = s**2. What is 4*k(l) - y(l)?
l**2 + 1
Let f(m) = 3*m - 2. Suppose -6 = -2*x - 0. Let d(i) = -2*i + 1. Calculate x*f(z) + 5*d(z).
-z - 1
Let l(v) = -5*v + v**2 + 6 - 5*v**2 + 6*v**2. Let k(r) = -3*r - 5 + 4*r + 5*r - 2*r - r**2. Calculate 4*k(u) + 3*l(u).
2*u**2 + u - 2
Let t(z) = -3*z**2 - 2*z**2 + 3*z**2. Let f(s) = 3*s**2. What is 3*f(i) + 4*t(i)?
i**2
Let d(a) = -2*a - 3. Let j(i) = 2*i + 14 - 18 - 4*i. Suppose 0 = -3*y - 5*v + 11, -6*y + 6 = -4*y + 2*v. Suppose 0 = -y*p + 4*p + 6. Give p*j(u) + 4*d(u).
-2*u
Let n(x) = -3*x - 6. Let i(m) = -4*m - 6. Determine -4*i(g) + 5*n(g).
g - 6
Let h(n) = -n**3 - 7*n**2 - 7*n. Suppose -3*j - 25 = l + 3*l, 3*l = -12. Let p = 5 + j. Let x(m) = 2*m**2 + 2*m. Give p*h(b) + 7*x(b).
-2*b**3
Let u(y) = y. Let v be (9/12)/(5/(-20)) + 4. Let p(j) = 5*j - 2. Determine v*p(q) - 6*u(q).
-q - 2
Let f(r) = 5*r**2 + 4*r - 13. Let h(m) = 2*m**2 + m - 4. Give 2*f(j) - 7*h(j).
-4*j**2 + j + 2
Let n(s) = 2*s**3 - 4*s**2 + 2*s. Let x(r) = -r**3 + 4*r**2 - r. Determine -3*n(t) - 4*x(t).
-2*t**3 - 4*t**2 - 2*t
Let t(m) = m + 1. Let a(j) = -14*j + 3. Give -a(x) + 2*t(x).
16*x - 1
Let z(g) = -g**3 - 6*g**2 + 4. Let d(y) = y**3 + 5*y**2 - 3. Let n = 4 + -2. Suppose 2*u - 20 = -n*u. Let c be (-20)/(16/(-4)) - -1. Calculate c*d(p) + u*z(p).
p**3 + 2
Let m = 3 - 1. Let s(z) be the first derivative of -4*z**m + 8/3*z**3 + 2 + 0*z + 1/2*z**4. Let j(p) = -p**3 - 3*p**2 + 3*p. What is 8*j(u) + 3*s(u)?
-2*u**3
Let g(u) = 10*u - 5. Let i(k) = -9*k + 4. What is -3*g(s) - 4*i(s)?
6*s - 1
Let d(f) = 7*f**2 + 9*f - 9. Let p(a) = 2*a**2 + 2*a - 2. Let y(z) = -9*z**3 + z + 1. Let r be y(-1). Give r*p(u) - 2*d(u).
4*u**2
Let b = 14 + -21. Let d(t) = 6*t**3 + 2*t**2 - 5. Let i(p) = -2*p**3 + 1. Let x(n) = 11*n**3 + n**2 - 6. Let y(c) = -4*i(c) - x(c). Give b*y(f) - 3*d(f).
3*f**3 + f**2 + 1
Let r(v) = -22*v**3 + 8*v**2. Let k(j) = 7*j**3 - 3*j**2. Give 17*k(f) + 6*r(f).
-13*f**3 - 3*f**2
Suppose -s - 4*r = 4 + 13, 0 = -5*r - 25. Suppose -s*p - h - 18 = 0, 4*h = -2*p + 5*h - 17. Let a(u) = 3*u. Let x(v) = 0*v + 6*v + 4*v. What is p*a(i) + 2*x(i)?
-i
Let s(d) = 3*d + 7. Let z be -12*(-1)/(-2*1). Let l be 4*(-3)/z + -4. Let m(a) = a + 2. Calculate l*s(u) + 7*m(u).
u
Let n(o) be the first derivative of -2 - 3/2*o**4 + 4/3*o**3 + 0*o**2 - 2*o. Let c(q) = -q**3 + q**2. Determine -4*c(j) + n(j).
-2*j**3 - 2
Let v(j) = -j**2 - 4*j + 2. Let m = -18 + 13. Let i(g) be the third derivative of g**5/20 + 3*g**4/8 - 5*g**3/6 + g**2. Give m*v(x) - 2*i(x).
-x**2 + 2*x
Let v(t) = -t. Let h(w) = -w**3 - w**2 - 1. Let i be h(-1). Let x be (2/(-1))/((-2)/(-4)). Let c be 2*(-1)/x*-10. Let y(p) = 6*p - 2. Calculate c*v(s) + i*y(s).
-s + 2
Let k be (-1)/(-3) + 3302/39. Let j(s) = k*s**2 - 2*s - 78*s**2 + s**3 - 5*s. Let m(u) = u**3 + 5*u**2 - 5*u. Determine 5*j(h) - 7*m(h).
-2*h**3
Let k = -80 + 84. Let b(y) = 5*y + 4. Let s(j) = 0 + 6*j + 5 + 0. What is k*s(p) - 5*b(p)?
-p
Let o be 12/20 + (-138)/5. Let w(z) = z**2 + 4. Let d(h) = 6*h**2 + 27. Calculate o*w(q) + 4*d(q).
-3*q**2
Let t(d) = 19*d - 2. Let n(k) = -9*k + 1. What is -5*n(p) - 3*t(p)?
-12*p + 1
Let j = -22 + 18. Let y(l) = 3*l**3 - 5*l + 3. Let x(d) = d**3 - d + 1. Let v(t) = 3*t**3 - 5*t + 3. Let q(s) = v(s) - x(s). What is j*q(u) + 3*y(u)?
u**3 + u + 1
Suppose -2 = v + v. Let f(r) be the second derivative of -r**4/12 + 2*r. Suppose -h + 24 = 3*h. Let l(p) = -p**3 - 6*p**2. Determine h*f(u) + v*l(u).
u**3
Let g(a) be the first derivative of -a**6/180 - a**4/6 - 4*a**3/3 + 3. Let l(f) be the third derivative of g(f). Let h(p) = -p**2 - 1. Determine -4*h(v) + l(v).
2*v**2
Let t(d) = 3*d - 3. Let z = -24 - -21. Let v(q) = q**3 + q - 1. What is z*v(i) + t(i)?
-3*i**3
Let u be (2 - 12)/(4 + -6). Let z(t) = 3*t**2 + 5*t - 1. Let a(h) = -h**2 - h. Give u*a(l) + z(l).
-2*l**2 - 1
Let p(k) = 2 - 14*k + 2*k + 9. Let m(u) = u - 1. Let x = -70 + 48. What is x*m(t) - 2*p(t)?
2*t
Let r(g) be the third derivative of 11*g**4/24 - 2*g**3/3 + 19*g**2. Suppose 3*o = -3*q - 27, -5*q - 9 - 6 = -o. Let c(z) = 5*z - 2. What is q*r(m) + 9*c(m)?
m - 2
Let p(k) = k**2 - k. Suppose -4*b - 5 = -45. Let v(j) be the first derivative of -5/2*j**2 + 1 + 4/3*j**3 + 0*j. Give b*p(g) - 2*v(g).
2*g**2
Let s(u) = 5*u + 3. Let b(t) = -2*t - 1. Determine 7*b(j) + 2*s(j).
-4*j - 1
Let r(q) be the third derivative of -q**5/10 + q**4/8 - q**3 - 26*q**2. Let m(i) = -7*i**2 + 4*i - 7. Give 5*m(h) - 6*r(h).
h**2 + 2*h + 1
Let b(k) = -k**2 - 3*k + 6. Let r(t) = -1. Suppose 3*n - 9 = 6. Determine n*r(u) + b(u).
-u**2 - 3*u + 1
Let a(w) = w + 1. Let f be -4 + (-5)/(-1) + -1*3. Let g(b) = 3*b + 2. Calculate f*g(u) + 5*a(u).
-u + 1
Let w(c) = -2*c**2 + 8*c. Let n(l) = -l**3 + 5*l**2 - 4*l + 3. Let o be n(4). Let u = 11 - 11. Let f(h) = 0*h + 0*h - h**2 + u*h + o*h. Give -8*f(k) + 3*w(k).
2*k**2
Let o(v) = 2*v**3 - 5*v + 1. Let m(n) = 4*n**3 - 11*n + 2. Give 3*m(u) - 7*o(u).
-2*u**3 + 2*u - 1
Let n(t) = 5*t**2 + 9*t - 3. Let y(v) = 2*v**2 + 3*v - 1. Let p(s) = 3*n(s) - 8*y(s). Let z(h) = -h**2 + 2*h - 1. Give 3*p(q) - 5*z(q).
2*q**2 - q + 2
Let u(w) be the third derivative of w**4/24 - w**3/6 - 45*w**2 + 2*w. Let l(t) = 3*t - 6. What is l(k) - 6*u(k)?
-3*k
Let m(s) = -8*s - 4. Let g(v) = 15*v + 9. Let h(q) = 3*g(q) + 5*m(q). Let w(j) = 4*j - 1 + 4 + 0*j - 2*j. Calculate 3*h(y) - 7*w(y).
y
Let t = -39 - -33. Let f(c) = 2*c + 6. Let d(g) = g + 5. Calculate t*d(m) + 5*f(m).
4*m
Let n(c) = -3*c**2 - 2*c. Let z(s) = -1 + 3*s**2 + 7*s**2 - 11*s**2 - s + 2. What is -n(q) + 2*z(q)?
q**2 + 2
Let x(y) = y**3 - y - 2. Let b(n) = -516*n**3 - 3 + 520*n**3 - 3 - 4*n. Calculate -2*b(j) + 7*x(j).
-j**3 + j - 2
Let w(d) = -11*d + 27. Let o(y) = -6*y + 13. Determine 7*o(x) - 4*w(x).
2*x - 17
Let c(r) = -r**3 - 2*r**2 - 2*r - 27. Let t(b) = -b**3 - b**2 - b + 1. Calculate -c(w) + 2*t(w).
-w**3 + 29
Let p(r) = 6*r - 1. Let o(m) = 1. Let i = -143 - -144. What is i*p(f) + o(f)?
6*f
Suppose 3*r - 2*r = 0. Suppose c - 6*c + 25 = r. Let j(u) = u - 4. Let o(v) = v - 3. Determine c*o(z) - 4*j(z).
z + 1
Let d(c) = 5*c + 4. Let s(b) = 3*b + 2. Let f(l) = -5*l + 11. Let z be f(5). Let n = z - -7. Calculate n*s(o) + 4*d(o).
-o + 2
Let s(c) = -3*c**3 + 5*c**2 + 5*c - 5. Let u = -49 + 44. Let y(w) = 4*w**3 - 7*w**2 - 7*w + 7. What is u*y(o) - 7*s(o)?
o**3
Suppose -1 + 5 = -4*r. Let w(m) be the first derivative of m**2/2 + m - 266. Let t(l) = l - 2. Calculate r*t(d) - w(d).
-2*d + 1
Let h(b) = b. Let q(f) = -3*f - 13. Let n be q(-5). Let t(s) = -2*s**2 + 6*s + 0*s**n + 2 + 2 - 3. What is 6*h(v) - t(v)?
2*v**2 - 1
Suppose 0 = 3*z - 3*r - 27, 0 = 2*z - r + 3*r - 6. Let q(s) = s - 6. Let l(i) be the third derivative of 0*i + 1/6*i**3 + 2*i**2 + 0. What is z*l(o) + q(o)?
o
Let a(m) = 4*m**3 - m**2 + 2. Let p(n) be the second derivative of n**5/4 - n**4/12 + 3*n**2/2 + 2*n. Give -3*a(t) + 2*p(t).
-2*t**3 + t**2
Let g(p) = 5*p + 14. Let w(i) = -5*i - 9 - 2*i + 4*i. Calculate 5*g(x) + 8*w(x).
x - 2
Let f(k) be the second derivative of 3*k**5/20 + 3*k**4/4 - 3*k**3/2 - 9*k**2/2 - 25*k. Let q(s) = -s**3 - 4*s**2 + 4*s + 4. Determine 4*f(v) + 9*q(v).
3*v**3
Let y(i) = -2*i**2 - 2*i. Let s = -2 + 3. Suppose -7*q = -3*q. Let h(t) = -1 + q - 2 + 2. Determine s*y(z) + 2*h(z).
-2*z**2 - 2*z - 2
Let b(g) = 2*g**2 + 4*g + 6. Let v(k) be the first derivative of -k**2/2 - k + 2. Determine b(m) + 6*v(m).
2*m**2 - 2*m
Let f(b) = -b**2. Let s(o) = -12*o**2. Calculate 8*f(x) - s(x).
4*x**2
Let m(p) = -420*p - 72. Let h(a) = 29*a + 5. Determine 72*h(j) + 5*m(j).
-12*j
Let a(c) = -4*c + 12. Let n(f) = -23*f + 73. What is -34*a(d) + 6*n(d)?
-2*d + 30
Let w(x) = -x + 1. Let p(l) = 2*l**2 + 3*l - 4. Determine p(s) + 6*w(s).
2*s**2 - 3*s + 2
Let d(l) be the second derivative of 5/2*l**2 - 5/12*l**4 + l + 8/3*l**3 + 0. Let c(p) = -p**2 + 3*p + 1. Suppose 23 = -4*s - 21. Determine s*c(j) + 2*d(j).
j**2 - j - 1
Let q(u) be the first deri | {
"pile_set_name": "DM Mathematics"
} |
se -3*c - 17 = 1231. Sort -0.3, -5, c in ascending order.
c, -5, -0.3
Let x = -76 + 135. Let q = -61 + x. Let d be (0/(1 - 2))/(-2). Sort q, 2, d in decreasing order.
2, d, q
Let j be 6/8 + (-2380)/(-560). Let w = 61/115 + -3/23. Sort 0, w, 2, j.
0, w, 2, j
Let m(l) = 15*l**2 - 721*l + 51. Let k be m(48). Let i = 1.3 + -7.3. Put k, 0.5, -1, i in descending order.
k, 0.5, -1, i
Let j = 0.1571 - 0.0571. Put 14, -0.4, j, -1/10 in descending order.
14, j, -1/10, -0.4
Let j = 3 - 4. Let i = -492 - -491.9. Sort 0.2, 0.3, i, j in descending order.
0.3, 0.2, i, j
Let c = -48318 - -47489.24. Let j = c + 815. Let d = j - 0.24. Put d, 0.1, -2/5 in decreasing order.
0.1, -2/5, d
Let v = -0.098 + 0.038. Sort v, 1, -4/3, 0.2 in ascending order.
-4/3, v, 0.2, 1
Let t(w) = -w**2 + 16*w - 8. Let k be t(22). Let j = k + 143. Put -1, -4, 5, j in decreasing order.
5, j, -1, -4
Let n = 1.7 - 1.6. Let k be (-6)/4*24/(-144). Let h = 0 - 0.2. Sort n, k, h in decreasing order.
k, n, h
Let f be (-18 + 30)*2/8. Sort 4, 2, f, 5 in ascending order.
2, f, 4, 5
Let v be (-4)/6 - 7/(-15). Let c = 7 - -35. Let u = c + -44. Sort -1/7, v, u in decreasing order.
-1/7, v, u
Let b(y) = 10*y**3 - 19*y**2 + 1. Let w be b(2). Sort w, 113, 3 in descending order.
113, w, 3
Let r be 96*(-4)/16*3. Put -2, 1, r in decreasing order.
1, -2, r
Let l(n) = 4*n**3 - 14*n**2 + 4*n - 8. Let b(i) = -5*i**3 + 15*i**2 - 5*i + 7. Let s(w) = -3*b(w) - 4*l(w). Let h be s(11). Put 2, h, 5 in ascending order.
h, 2, 5
Let k = 6 + -5. Let l be -22 - -5 - (k - 0). Let d be (-4)/3*(-3)/l. Sort 2, -0.2, d.
d, -0.2, 2
Let y = -502 - -666. Sort -0.5, -0.3, y in ascending order.
-0.5, -0.3, y
Let r be (-6)/(-15)*5 + 5 + 87. Let m = -98 + r. Put -8, m, 3 in descending order.
3, m, -8
Let c = 243 - 248. Sort -0.5, 31, -1/6, c in decreasing order.
31, -1/6, -0.5, c
Suppose 0*g - 4*g + 16 = -4*a, -3*a + g - 4 = 0. Suppose -3*o - o = 5*l + 15, a = 5*o + l + 3. Put o, 32, -3 in descending order.
32, o, -3
Let t = 16 + -81/5. Let l = -12.1 + -1.9. Let v = l + 9. Put t, -0.1, v in ascending order.
v, t, -0.1
Let m = 23 - 21. Suppose 0 = -2*f - m*u, 0 = -f - 0*f + 2*u + 9. Sort 10, 1, f in descending order.
10, f, 1
Let j = 10 + -7. Let v be 13 - (j + 0 + -2). Let h be ((-6)/(-18))/(1/v). Put h, 5, -5 in descending order.
5, h, -5
Let z = 9 + 8. Suppose 27 - z = 2*h. Sort 4, 1, -3, h in descending order.
h, 4, 1, -3
Suppose 0 = 4*m + 52 + 36. Let h be (615/m)/((-1)/4). Let f = h + -112. Sort -1/5, f, 1 in ascending order.
-1/5, f, 1
Let w = -188 - -189. Let l = 6 + -7. Sort 4, l, w, -3.
-3, l, w, 4
Suppose 15 = 2*z + 9. Sort -11, z, -4 in descending order.
z, -4, -11
Suppose 0 = -6*i + i - 15. Suppose -23 = -78*u + 75*u + 2*z, 4*u - 36 = 4*z. Sort 1, u, i.
i, 1, u
Let o(c) = -4*c + 117. Let m be o(30). Sort 16, m, -4 in ascending order.
-4, m, 16
Let k be 0 + (-3 + 0 - 3). Let s be 13/5 + k/10. Suppose 8 = s*v + 10. Sort v, 6, 1 in decreasing order.
6, 1, v
Suppose 10 + 6 = 4*c. Let b = -5 + 4.2. Let t = 0.6 + b. Sort t, 1, c in descending order.
c, 1, t
Let a(x) be the second derivative of -5*x**4/12 + x**2/2 + 11*x. Let g be a(1). Sort 5, g, -3, 4 in descending order.
5, 4, -3, g
Let y be (-2 - -5) + (2 - (4 + -2)). Sort y, -1, -5, -3 in descending order.
y, -1, -3, -5
Let d = -21 - -24. Suppose -d*l = -13*l - 40. Suppose -12 = 2*i + 14. Sort 1, l, i in decreasing order.
1, l, i
Suppose 11*h = -h + 96. Suppose 0 = -c + h*t - 3*t - 18, 0 = 4*c + 5*t - 3. Put 5, c, -1, 0 in descending order.
5, 0, -1, c
Let f be (-66)/(-12) + 2/4. Let g = f - 4. Let h = 4/19 - 50/57. Sort h, g, 0.3 in decreasing order.
g, 0.3, h
Let h be 2 + -2 + (-4)/18. Let t be (-4)/12*3/4. Let q = 90 + -87. Sort t, h, q in decreasing order.
q, h, t
Suppose 3*k - 2*q + 0*q = 20, 4*k = 3*q + 28. Let a be (68/12 - k) + -3. Sort -0.3, a, -4, -0.4 in decreasing order.
-0.3, -0.4, a, -4
Let j = -216.8 - -217. Sort 2, -0.3, -9, j.
-9, -0.3, j, 2
Suppose 5*m + 20 = 4*y, 2*y = -3*m + 4*m + 10. Suppose 5*s + 17 - 62 = 0. Sort s, -0.5, 4, m in ascending order.
-0.5, m, 4, s
Let g = 175/11 - 1203/77. Suppose 5*t + 10 = r + 2*r, -4*t - 8 = -4*r. Let y = 0 - r. Sort g, y, -6/11 in descending order.
g, y, -6/11
Let x be ((-71)/77 + 1)/(10/140). Sort -4, 6, x.
-4, x, 6
Let p = 13.8 - 14.8. Sort -0.2, -2/5, p, -4 in descending order.
-0.2, -2/5, p, -4
Let q = 16 + -13. Let y = -5 - -6. Sort -4/9, 0.4, y, q.
-4/9, 0.4, y, q
Suppose -2*k = 0, 0 = -2*h + k + 2*k + 6. Suppose -h*p + 12 = -0*v + 3*v, 0 = -5*p - 10. Let j = -7 + v. Sort 2, j, -6 in decreasing order.
2, j, -6
Let a(y) = 39*y - 7. Let z be a(0). Sort z, -5, 0 in descending order.
0, -5, z
Let r = -922 + 929. Sort 0.01, 0.4, r.
0.01, 0.4, r
Let s = 73 - 74. Sort 0.02, -3, s in increasing order.
-3, s, 0.02
Let a be 19 + 12/(-14)*-14. Put -1, a, 1 in descending order.
a, 1, -1
Let y be (655/524)/(1/(-4)). Put 23, y, 7 in descending order.
23, 7, y
Suppose 3*q = 5*r - 315, -52 = -4*r + 2*q + 202. Sort r, 5, -2.
-2, 5, r
Let a be 4/6 + 17/(-3). Put a, -10, 1 in descending order.
1, a, -10
Let n = 1423 + -1424.7. Put -0.4, -1/8, n in descending order.
-1/8, -0.4, n
Let p be (-350)/875*(-5)/4. Put 0.7, p, -0.05 in descending order.
0.7, p, -0.05
Suppose 0 = -13*d + 14*d - 3. Put 0, -2, d in decreasing order.
d, 0, -2
Suppose -3*a - 255 = 5*q + 2*a, 7*q + 3*a = -373. Sort 5, 4, 3, q in increasing order.
q, 3, 4, 5
Let l(q) = -4*q**3 - 21 - 6*q + 16 + 5*q**3 + 4*q**2 + q**2. Let i be l(-6). Put i, -3, 3 in decreasing order.
3, -3, i
Let b = 291 + -289. Put -1/7, b, -2, 1.1 in decreasing order.
b, 1.1, -1/7, -2
Let m(h) = h**2 - 7*h + 11. Let i be m(6). Suppose -i*p = -7*p + 6. Put p, 1/7, 3/8 in descending order.
p, 3/8, 1/7
Suppose 3*y - 2*y = -3*y. Sort -23, y, -1, 2 in decreasing order.
2, y, -1, -23
Let t be 4/5*(-25)/(-10). Suppose -t*l + y = 15, -2*l - 24 = -2*y + 4*y. Sort l, -2/15, 0.1.
l, -2/15, 0.1
Let j = -367/889 - 2/127. Put -3, -3/2, j, -13 in descending order.
j, -3/2, -3, -13
Let z = 15.5 - -3.5. Let o = -16 + z. Let p = o + 1. Sort 2/3, 0.5, p in increasing order.
0.5, 2/3, p
Let g = -402.1 - -404. Sort 3, -0.1, g.
-0.1, g, 3
Let q = -2 + 7. Suppose q*a + 12 = 2. Let d(c) = -c**3 + 4*c**2 - 9*c + 123. Let r be d(6). Sort 5, r, a in ascending order.
r, a, 5
Let h(b) = 5*b**2 - b + 2. Suppose 0 = -5*z - 14 + 19. Let p be h(z). Sort 3, -2, -1, p in ascending order.
-2, -1, 3, p
Let f = 0.1 - 0.1. Let j = -0.24 - 0.76. Let g = f - j. Put 2/9, g, -4 in increasing order.
-4, 2/9, g
Suppose 2*x = -0*x - 4*k - 16, -x - k = 5. Sort 5, x, 3, 11.
x, 3, 5, 11
Suppose -11*m + 12*m = 1, -m = -4*o + 19. Sort -5, o, -1 in increasing order.
-5, -1, o
Let l be 63/(-2)*(-18)/(-27). Let o be (23 + l)*(-1)/2*5. Sort 5, 0, o, 0.4 in increasing order.
o, 0, 0.4, 5
Suppose 4*z + 14 = b - 2*b, -2 = b + z. Let x be (0 - b/5)/((-9)/(-15)). Put x, -0.5, 0.3, 2 in ascending order.
x, -0.5, 0.3, 2
Let m = 1190 - 1199. Sort 0.2, -2, -1/6, m in decreasing order.
0.2, -1/6, -2, m
Let v = 348 - 348.01. Put -1, 1/3, v, -0.5 in decreasing order.
1/3, v, -0.5, -1
Let b = -10 - -14. Suppose p + 2*p + 45 = -3*q, 0 = -4*p - 5*q - 59. Let u be -20*((-44)/p + -3). Put u, b, 7 in decreasing order.
7, u, b
Suppose -a + 4*q = -5*a - 16, -5*q - 20 = -4*a. Suppose -p = 2*p - 6. Suppose 16 = -p*y + 6. Sort a, 4, y in decreasing order.
4, a, y
Let w = -149 - -150. Sort 0.42, -0.2, w in descending order.
w, 0.42, -0.2
Let l(i) = -i**2 - 2*i - 9 - 7*i - i. Let d be l(-7). Suppose 0 + d = -5*c - 3*t, c - t - 4 = 0. Sort c, 5, -5 in descending order.
5, c, -5
Let k(f) = f**3 + 45*f**2 + 128*f + 42. Let n be k(-42). Sort -4, n, 4 in descending order.
4, -4, n
Suppose 5 = 11*c - 13 - 15. Suppose 0 = -u + 6*u - 10. Sort c, -4, -3, u.
-4, -3, u, c
Let z = 691 - 691. Sort z, 2/9, -7/3 in decreasing order.
2/9, z, -7/3
Let h = 0.68 + -0.38. Suppose 135*f - 138*f + 6 = 0. Sort 1/2, f, h, 4/7 in descending order.
f, 4/7, 1/2, h
Let u be (-15)/((-15)/4)*(0 - -1). Suppose 3*o = -4*k - 5, -u = -5*k + o - 34. Put k, -2, 4 in decreasing order.
4, -2, k
Let b = -20 + 21. Suppose -5*t = 2*o + 2 + b, -5*t + 1 = o. Suppose 5*c = -8 - 2. Sort c, -1, o in ascending order.
o, c, -1
Let o be 38/10 + (-12)/(-60). Suppose -o*a + 12 = 0, 9 + 448 = -4*f + 3*a. Let x = -5 | {
"pile_set_name": "DM Mathematics"
} |
the hundreds digit of 426093?
0
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4
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5
What is the hundreds digit of 6913671?
6
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7
What is the units digit of 334676?
6
What is the hundreds digit of 433609?
6
What is the thousands digit of 12614855?
4
What is the units digit of 10702855?
5
What is the units digit of 277860?
0
What is the thousands digit of 9737021?
7
What is the ten thousands digit of 10614514?
1
What is the thousands digit of 212412?
2
What is the tens digit of 1314846?
4
What is the hundred thousands digit of 1786199?
7
What is the ten thousands digit of 659738?
5
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1
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1
What is the tens digit of 222087?
8
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2
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1
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5
What is the ten millions digit of 10776371?
1
What is the hundred thousands digit of 829696?
8
What is the hundred thousands digit of 3179697?
1
What is the hundred thousands digit of 24477900?
4
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8
What is the ten thousands digit of 290676?
9
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7
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1
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1
What is the ten thousands digit of 1981141?
8
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7
What is the ten thousands digit of 4080029?
8
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1
What is the hundred thousands digit of 2931717?
9
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4
What is the tens digit of 4094599?
9
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4
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2
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9
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4
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3
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0
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2
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4
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8
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0
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5
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1
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7
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6
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2
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3
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2
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4
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4
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3
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5
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5
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7
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1
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6
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6
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3
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6
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7
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5
What is the hundred thousands digit of 10005601?
0
What is the ten thousands digit of 390198?
9
What is the hundred thousands digit of 309318?
3
What is the ten thousands digit of 1542360?
4
What is the ten thousands digit of 45976?
4
What is the thousands digit of 13775692?
5
What is the hundreds digit of 44899?
8
What is the ten thousands digit of 3747712?
4
What is the thousands digit of 7033147?
3
What is the ten thousands digit of 24960?
2
What is the hundred thousands digit of 264676?
2
What is the tens digit of 2567458?
5
What is the units digit of 202952?
2
What is the hundreds digit of 1611684?
6
What is the hundred thousands digit of 7372859?
3
What is the tens digit of 21839705?
0
What is the thousands digit of 819281?
9
What is the units digit of 12808351?
1
What is the hundred thousands digit of 1500959?
5
What is the hundred thousands digit of 115183?
1
What is the ten thousands digit of 19916888?
1
What is the thousands digit of 3476586?
6
What is the units digit of 36351?
1
What is the tens digit of 1677284?
8
What is the hundreds digit of 217687?
6
What is the hundreds digit of 1645935?
9
What is the thousands digit of 8424592?
4
What is the units digit of 90231?
1
What is the tens digit of 4368990?
9
What is the thousands digit of 549487?
9
What is the hundred thousands digit of 3889627?
8
What is the millions digit of 1273176?
1
What is the ten thousands digit of 424502?
2
What is the hundreds digit of 10610367?
3
What is the thousands digit of 4180572?
0
What is the tens digit of 615590?
9
What is the thousands digit of 158461?
8
What is the thousands digit of 5962517?
2
What is the hundreds digit of 232924?
9
What is the hundreds digit of 7029733?
7
What is the units digit of 1161213?
3
What is the units digit of 7382865?
5
What is the ten thousands digit of 125661?
2
What is the thousands digit of 3361985?
1
What is the hundred thousands digit of 1925121?
9
What is the ten thousands digit of 4746642?
4
What is the thousands digit of 15526?
5
What is the tens digit of 8647040?
4
What is the units digit of 837932?
2
What is the units digit of 357042?
2
What is the tens digit of 4762415?
1
What is the hundred thousands digit of 610867?
6
What is the ten millions digit of 15286953?
1
What is the thousands digit of 11304978?
4
What is the hundred thousands digit of 14318804?
3
What is the ten thousands digit of 146106?
4
What is the ten thousands digit of 8536360?
3
What is the tens digit of 566356?
5
What is the ten thousands digit of 34680879?
8
What is the ten thousands digit of 4884903?
8
What is the tens digit of 114963?
6
What is the tens digit of 784418?
1
What is the tens digit of 195941?
4
What is the tens digit of 1992788?
8
What is the hundred thousands digit of 360257?
3
What is the thousands digit of 3166831?
6
What is the units digit of 2094155?
5
What is the units digit of 304440?
0
What is the units digit of 1999796?
6
What is the ten thousands digit of 5352390?
5
What is the thousands digit of 3718529?
8
What is the hundred thousands digit of 11118950?
1
What is the units digit of 281977?
7
What is the thousands digit of 1626977?
6
What is the tens digit of 1590440?
4
What is the hundreds digit of 174650?
6
What is the units digit of 2429862?
2
What is the tens digit of 1918147?
4
What is the thousands digit of 1269701?
9
What is the hundreds digit of 279827?
8
What is the ten thousands digit of 37760937?
6
What is the thousands digit of 3127477?
7
What is the tens digit of 3596490?
9
What is the tens digit of 869416?
1
What is the units digit of 55498?
8
What is the tens digit of 3041215?
1
What is the hundred thousands digit of 294317?
2
What is the tens digit of 764833?
3
What is the units digit of 19197811?
1
What is the units digit of 3248864?
4
What is the hundreds digit of 291004?
0
What is the tens digit of 1221695?
9
What is the thousands digit of 1557047?
7
What is the millions digit of 1786229?
1
What is the units digit of 8171768?
8
What is the tens digit of 1971346?
4
What is the ten thousands digit of 3931257?
3
What is the ten millions digit of 16708378?
1
What is the hundreds digit of 35362?
3
What is the ten thousands digit of 1202874?
0
What is the tens digit of 9256?
5
What is the ten thousands digit of 147953?
4
What is the ten thousands digit of 6530495?
3
What is the hundreds digit of 2748309?
3
What is the thousands digit of 660453?
0
What is the hundreds digit of 563587?
5
What is the units digit of 188433?
3
What is the hundreds digit of 1743080?
0
What is the hundred thousands digit of 345846?
3
What is the hundred thousands digit of 4541139?
5
What is the ten thousands digit of 69563?
6
What is the hundred thousands digit of 39873988?
8
What is the units digit of 4270014?
4
What is the units digit of 573417?
7
What is the hundred thousands digit of 6083374?
0
What is the hundreds digit of 212829?
8
What is the millions digit of 5035321?
5
What is the hundreds digit of 974427?
4
What is the hundreds digit of 418186?
1
What is the units digit of 64390?
0
What is the tens digit of 118224?
2
What is the thousands digit of 33061874?
1
What is the hundreds digit of 619678?
6
What is the tens digit of 344840?
4
What is the ten thousands digit of 40097?
4
What is the thousands digit of 11370?
1
What is the hundreds digit of 13584?
5
What is the hundreds digit of 103915?
9
What is th | {
"pile_set_name": "DM Mathematics"
} |
cking 1 p and 1 s?
1/33
Two letters picked without replacement from {q: 10, a: 2}. What is prob of picking 2 q?
15/22
Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {h: 2, x: 7, g: 4, a: 1}.
8/91
What is prob of picking 1 t, 1 h, and 1 j when three letters picked without replacement from {v: 1, a: 2, j: 3, h: 1, n: 5, t: 3}?
9/455
What is prob of picking 2 u and 1 n when three letters picked without replacement from {r: 1, u: 3, n: 2, h: 12, b: 2}?
1/190
Two letters picked without replacement from iuiuluiubcuiuiuic. What is prob of picking 1 u and 1 i?
21/68
Three letters picked without replacement from {w: 1, e: 2, u: 4, m: 1, h: 3}. What is prob of picking 1 h and 2 u?
6/55
What is prob of picking 3 y when three letters picked without replacement from {x: 1, q: 1, y: 3}?
1/10
Four letters picked without replacement from mmxmx. Give prob of picking 3 m and 1 x.
2/5
Two letters picked without replacement from bonoeppppooo. Give prob of picking 1 o and 1 e.
5/66
What is prob of picking 1 i, 2 o, and 1 x when four letters picked without replacement from {o: 6, i: 1, n: 7, p: 2, x: 3}?
15/1292
What is prob of picking 1 v and 3 x when four letters picked without replacement from {v: 5, p: 1, x: 5}?
5/33
What is prob of picking 3 a and 1 h when four letters picked without replacement from {d: 1, t: 1, n: 1, h: 6, a: 3, q: 3}?
2/455
Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {q: 1, h: 6, e: 7}.
1/13
Three letters picked without replacement from yccvxyyycyvyxyvvy. Give prob of picking 2 y and 1 x.
7/85
Calculate prob of picking 2 k and 1 n when three letters picked without replacement from knvcvvcvckkvnvv.
6/455
What is prob of picking 1 u and 1 x when two letters picked without replacement from {u: 1, d: 1, k: 1, b: 2, x: 2}?
2/21
Three letters picked without replacement from {k: 8, u: 2}. What is prob of picking 3 k?
7/15
Four letters picked without replacement from {h: 4, x: 6, c: 5}. What is prob of picking 3 x and 1 h?
16/273
Four letters picked without replacement from cyfecsyyscifci. Give prob of picking 1 s, 1 y, and 2 c.
36/1001
What is prob of picking 1 b and 1 m when two letters picked without replacement from {r: 3, v: 1, b: 2, p: 4, m: 1, x: 4}?
2/105
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bobzzzbocofozbo.
4/105
Calculate prob of picking 2 v when two letters picked without replacement from {s: 2, v: 11}.
55/78
Two letters picked without replacement from {c: 7, a: 1, b: 1}. Give prob of picking 1 b and 1 c.
7/36
Two letters picked without replacement from {t: 6, p: 3, d: 6}. What is prob of picking 2 d?
1/7
Calculate prob of picking 1 b and 1 m when two letters picked without replacement from vvelvebmvevv.
1/66
Calculate prob of picking 1 s and 2 y when three letters picked without replacement from ssskuyasayhsshash.
7/680
What is prob of picking 3 x when three letters picked without replacement from wwwxxwwwxwwwwwwwwwww?
1/1140
Three letters picked without replacement from {b: 3, t: 8}. Give prob of picking 3 t.
56/165
Three letters picked without replacement from smssmssssss. Give prob of picking 1 m and 2 s.
24/55
Calculate prob of picking 2 s and 1 d when three letters picked without replacement from {s: 3, d: 9}.
27/220
Three letters picked without replacement from kknbabk. What is prob of picking 3 k?
1/35
Four letters picked without replacement from {v: 3, a: 8, z: 1, w: 1, y: 1, n: 2}. What is prob of picking 1 a, 1 z, and 2 v?
6/455
Three letters picked without replacement from {d: 1, b: 3, c: 1, o: 1, z: 1}. What is prob of picking 1 z, 1 o, and 1 b?
3/35
Calculate prob of picking 2 t and 1 u when three letters picked without replacement from oobutboboko.
0
What is prob of picking 1 r, 1 m, and 1 g when three letters picked without replacement from rrmrgrmgmcmmg?
30/143
What is prob of picking 1 t, 1 l, and 1 d when three letters picked without replacement from tdvcvpl?
1/35
Four letters picked without replacement from wwawapphpppphpp. Give prob of picking 1 p, 2 a, and 1 w.
8/455
Three letters picked without replacement from {y: 2, h: 5}. Give prob of picking 3 h.
2/7
Three letters picked without replacement from ctdcwtctccccccc. Give prob of picking 1 d and 2 c.
9/91
Two letters picked without replacement from kwwkkk. Give prob of picking 2 w.
1/15
Calculate prob of picking 2 e when two letters picked without replacement from {x: 2, b: 1, n: 1, e: 2, r: 7, w: 2}.
1/105
Calculate prob of picking 4 g when four letters picked without replacement from {k: 9, g: 9}.
7/170
Three letters picked without replacement from {q: 1, b: 2, d: 1, x: 2, g: 1}. What is prob of picking 1 q and 2 b?
1/35
Three letters picked without replacement from alllalllaaallnlv. Give prob of picking 1 a, 1 v, and 1 n.
1/112
Two letters picked without replacement from lealkyyh. What is prob of picking 1 l and 1 a?
1/14
What is prob of picking 1 y, 1 c, and 1 i when three letters picked without replacement from {r: 3, c: 2, z: 7, y: 5, i: 2, d: 1}?
1/57
Two letters picked without replacement from {y: 2, i: 1, v: 1, l: 5}. Give prob of picking 2 l.
5/18
Four letters picked without replacement from epeeeeppeeeeeepeee. Give prob of picking 4 p.
1/3060
Calculate prob of picking 1 c and 1 h when two letters picked without replacement from zzzphhpchzhzzzzzhpzc.
1/19
Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {i: 2, q: 18}.
3/190
Four letters picked without replacement from {p: 6, l: 1, y: 1, b: 2, g: 2}. Give prob of picking 2 b and 2 p.
1/33
What is prob of picking 2 j when two letters picked without replacement from {x: 16, j: 2}?
1/153
Four letters picked without replacement from kkukklukukrk. Give prob of picking 1 l, 1 r, and 2 k.
7/165
Four letters picked without replacement from eezezazyezzezze. Give prob of picking 1 z, 1 y, and 2 e.
1/13
Four letters picked without replacement from bnnwwcnng. What is prob of picking 3 n and 1 c?
2/63
What is prob of picking 4 j when four letters picked without replacement from {j: 18, h: 1}?
15/19
What is prob of picking 2 w when two letters picked without replacement from {q: 10, j: 5, w: 4}?
2/57
Calculate prob of picking 2 o and 2 v when four letters picked without replacement from {v: 7, o: 12}.
231/646
Calculate prob of picking 1 o and 2 g when three letters picked without replacement from oaaiaaioaaiaaaoggao.
4/969
Three letters picked without replacement from jucudyujjd. Give prob of picking 1 d and 2 u.
1/20
Four letters picked without replacement from pssptyppnsny. Give prob of picking 1 n, 2 p, and 1 t.
4/165
What is prob of picking 2 z and 1 s when three letters picked without replacement from {s: 2, q: 3, z: 4}?
1/7
Four letters picked without replacement from yyyygggyygyg. Give prob of picking 2 y and 2 g.
14/33
Four letters picked without replacement from {l: 3, c: 6, n: 1, z: 9}. Give prob of picking 1 l, 2 c, and 1 z.
135/1292
What is prob of picking 1 v and 1 r when two letters picked without replacement from qvqkrr?
2/15
Three letters picked without replacement from jsksjjsjjjjkkjsss. What is prob of picking 1 j, 1 k, and 1 s?
18/85
Two letters picked without replacement from {j: 1, f: 1, x: 3, b: 3, s: 2}. Give prob of picking 1 f and 1 x.
1/15
Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {o: 2, k: 10, w: 4}.
3/140
Two letters picked without replacement from {h: 5, k: 3, l: 5, r: 2}. Give prob of picking 1 k and 1 h.
1/7
Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {v: 1, d: 1, c: 4, q: 1, t: 2}.
1/84
Two letters picked without replacement from {y: 13, e: 3}. What is prob of picking 1 e and 1 y?
13/40
Three letters picked without replacement from {b: 2, j: 10}. What is prob of picking 2 b and 1 j?
1/22
Four letters picked without replacement from {g: 4, c: 3, e: 4, k: 6}. Give prob of picking 1 k, 1 e, and 2 g.
36/595
What is prob of picking 2 a when two letters picked without replacement from zaaaaaaaaaazaaaaaaa?
136/171
Two letters picked without replacement from {i: 1, e: 3, h: 1, r: 1, c: 1}. What is prob of picking 1 i and 1 e?
1/7
Ca | {
"pile_set_name": "DM Mathematics"
} |
Let i(d) be the third derivative of -1/180*d**4 + 2/15*d**3 - 1/450*d**5 + k - 2*d - 5*d**2. Factor i(y).
-2*(y - 2)*(y + 3)/15
Let b(c) = 14*c + 6*c + 2562 + 5*c**2 - 4*c**2 - 2473. Let n be b(-14). Find r, given that 2/7*r + 0*r**3 + 5/7*r**4 - 2/7*r**n + 0 - 5/7*r**2 = 0.
-1, 0, 1/2, 1, 2
Determine h so that -177*h**3 + 23*h**2 + 4*h**4 + 149*h**3 + 41*h**2 - 33*h - 15*h = 0.
0, 2, 3
Let i = -5633 - -5636. Let b(l) be the second derivative of 0*l**2 + 1/3*l**i + 0 - 11*l + 1/12*l**4 - 1/20*l**5. Determine q so that b(q) = 0.
-1, 0, 2
Let b(h) be the first derivative of -73 + 7/9*h**2 - 8/3*h - 2/27*h**3. Factor b(w).
-2*(w - 4)*(w - 3)/9
Let g = -6116 + 6116. Let s(f) be the second derivative of 15*f - 3/4*f**5 + 1/3*f**6 + 15/2*f**2 - 5/6*f**3 - 15/4*f**4 + g. Factor s(l).
5*(l - 3)*(l + 1)**2*(2*l - 1)
Factor -6*i + 1/3*i**3 + i**2 + 0.
i*(i - 3)*(i + 6)/3
Suppose -287*v = -296*v + 2286. Let a be (-107)/(-1391) - v/(-78). Suppose -22/3*b**2 + a*b**3 + 2*b + 2*b**4 + 0 = 0. Calculate b.
-3, 0, 1/3, 1
Let z(j) = -11*j**3 + 38*j**2 + 41*j. Let x(d) = -5*d**3 - 2*d**2 - d. Let q(y) = 4*x(y) - 2*z(y). Factor q(w).
2*w*(w - 43)*(w + 1)
Let k be (209/(-627))/(27/6 + -5). Factor -1/2*j + k*j**2 + 0 - 1/6*j**3.
-j*(j - 3)*(j - 1)/6
Let r = 41 + -39. Suppose 3*p + r*o = 79, 0*p - o = 2*p - 52. Factor 41*g - 180 + p*g - 6*g - 5*g**2.
-5*(g - 6)**2
Let b(n) be the first derivative of -n**4/24 - n**3/2 + 43*n**2/4 - 119*n/6 - 6970. Factor b(u).
-(u - 7)*(u - 1)*(u + 17)/6
Let j(h) be the third derivative of -h**6/180 - h**5/3 - 21*h**4/4 - 1876*h**2. Find a, given that j(a) = 0.
-21, -9, 0
Suppose -58 = -31*u - 4*o, 7*o - 10*o - 1 = u. Factor -3/2*c**3 + 0 + 3/2*c + 0*c**u.
-3*c*(c - 1)*(c + 1)/2
Let k = 1843 - 1843. Let x(g) be the first derivative of 3/22*g**4 - 2/55*g**5 - 2/11*g**3 + k*g + 1/11*g**2 - 2. Suppose x(m) = 0. Calculate m.
0, 1
Let c be 366 + (13/(-3) - (-100)/(-60)). Suppose c*g - 359*g = 2. Factor -g*q + 5/2 - 1/2*q**2.
-(q - 1)*(q + 5)/2
Suppose -2*p - 15 = -23. What is x in -p*x**3 + 6*x**5 + 12*x**2 + 708*x + 16 - 8*x**4 - 22*x**3 - 668*x = 0?
-1, -2/3, 2
Let i(n) be the third derivative of -n**7/210 - n**6/120 + n**5/15 + n**4/6 + 4086*n**2. Factor i(w).
-w*(w - 2)*(w + 1)*(w + 2)
Let z(a) be the third derivative of 0*a - 1/75*a**5 - 1/60*a**4 + 0*a**3 + 2/525*a**7 + 0*a**6 - 106*a**2 + 0 + 1/840*a**8. Factor z(j).
2*j*(j - 1)*(j + 1)**3/5
Factor -22/3*j + 40/3 - 19/3*j**2 + 1/3*j**3.
(j - 20)*(j - 1)*(j + 2)/3
Find f, given that -1257*f - 1636*f - 270*f - 180 + 5614*f - 116732*f**2 + 6753*f - 23716*f**3 = 0.
-5, 3/77
Let w(i) be the second derivative of i**7/42 - 29*i**6/30 + 63*i**5/10 - 12*i**4 + 2*i + 381. Factor w(y).
y**2*(y - 24)*(y - 3)*(y - 2)
Let b be (((-28)/(-1))/(-14))/(-3). Let i(t) be the second derivative of 20*t + 5/36*t**4 + 4/9*t**3 + 0 + b*t**2 + 1/60*t**5. Let i(l) = 0. Calculate l.
-2, -1
Let g(m) = -22*m + 47. Let f be g(2). Solve 3*u**2 + 23*u**4 - 3*u**5 - 11*u**4 - 9*u**f + 12*u - 15*u**2 = 0.
-1, 0, 1, 2
Let j(s) be the second derivative of 0 - 17/50*s**5 + 0*s**2 + s**4 + 0*s**3 + 1/75*s**6 - 25*s. Factor j(b).
2*b**2*(b - 15)*(b - 2)/5
Suppose 0 = 2*x - 3*w - 16, w - 4*w - 8 = 2*x. Let n = 156490 + -156490. Suppose 0*f + 1/3*f**4 - 1/3*f**x + n + 0*f**3 = 0. What is f?
-1, 0, 1
Let n = -700165 + 700168. What is k in 390*k**2 - 5/2*k**n - 20280*k + 351520 = 0?
52
Factor f - 31/6*f**2 + 0 + 8/3*f**3 + 3/2*f**4.
f*(f - 1)*(f + 3)*(9*f - 2)/6
Let c(f) = -f**2 - 385*f + 390. Let s(u) = -6*u**2 - 2697*u + 2730. Let o(k) = 27*c(k) - 4*s(k). Factor o(d).
-3*(d - 130)*(d - 1)
Suppose 1009*k + 694*k = 83*k - 134*k + 3508. Factor 48/7 + 52/7*w**k - 2/7*w**3 - 14*w.
-2*(w - 24)*(w - 1)**2/7
Let d(j) be the third derivative of 93*j**2 + 1/168*j**8 + 0*j + 0 - 1/15*j**7 - 7/6*j**4 - 1/20*j**6 + 0*j**3 + 23/30*j**5. Let d(c) = 0. Calculate c.
-2, 0, 1, 7
Let q(n) be the first derivative of 2*n**3/15 + 2216*n**2/5 + 2455328*n/5 + 9288. Factor q(o).
2*(o + 1108)**2/5
Let y(v) be the third derivative of -v**5/60 + 35*v**4/12 - 68*v**3/3 - 1620*v**2. Factor y(f).
-(f - 68)*(f - 2)
Let d(s) be the second derivative of -s**4/12 - 16*s**3/3 - 87*s**2/2 - 264*s - 1. Find p such that d(p) = 0.
-29, -3
Let -1/3*j**3 + 0*j + 0 - 632/3*j**2 = 0. Calculate j.
-632, 0
Suppose 8*q - 6231 = -23. Let o = q - 312. Suppose 33*u + 3*u**3 + 482 + 0*u + 18*u**2 - o = 0. What is u?
-3, -2, -1
Let k(a) = -a**2 - 23*a + 78. Let m be k(-26). Factor 1 + 277*s**2 - 1 - 3*s**4 - 250*s**2 + m.
-3*s**2*(s - 3)*(s + 3)
Let a = 5 - -1. Suppose -a*r - 16 = -10*r. Solve 22 + 184*b**2 - 18 + 44*b + 108*b**5 + 360*b**3 + 362*b**4 - 38*b**r = 0 for b.
-1, -1/3
Let c be 300/48 - 5/(-3)*(-60)/25. Let i(b) be the second derivative of c*b**3 + 3/40*b**5 + 0 - 3*b**2 - 14*b - 3/4*b**4. Determine s, given that i(s) = 0.
1, 4
Let y(q) be the second derivative of -q**7/168 - q**6/12 - 37*q**5/80 - 4*q**4/3 - 13*q**3/6 - 2*q**2 - 28*q + 12. What is p in y(p) = 0?
-4, -2, -1
Suppose -36*r + 24*r - 48 = 0. Let t(z) = -z. Let a(m) = -3*m**2 - 4*m - 6*m**2 - 4 + 2*m**2 + 5*m**2. Let b(d) = r*t(d) - 2*a(d). Factor b(u).
4*(u + 1)*(u + 2)
Let t be (-40)/(-140) + (92 - 92)/(5 - (0 - -2)). Factor 0 + 2*p**3 + 0*p - t*p**4 + 0*p**2.
-2*p**3*(p - 7)/7
Suppose 0 = -4*y + 2*v + 110, 12*y = 10*y + 3*v + 57. Factor 24*m**4 - 24 - 54*m**2 + y*m**5 + 207*m**3 + 24 + 132*m**4.
3*m**2*(m + 3)**2*(9*m - 2)
Let p(y) = -5*y**2 + 157*y + 696. Let x(m) = -4*m**2 + 158*m + 688. Let o(w) = 2*p(w) - 3*x(w). Determine d so that o(d) = 0.
-4, 84
Suppose -2*j = 4 - 8. Suppose -j*l + 25 = 21. Find y such that -40*y - y**2 + 4*y - l*y**2 - 205 + 97 = 0.
-6
Factor 0 - 549081*v - 741*v**2 - 1/4*v**3.
-v*(v + 1482)**2/4
Let q(i) be the second derivative of -i**4/3 - 10*i**3/3 + 600*i**2 - 2398*i - 2. Factor q(m).
-4*(m - 15)*(m + 20)
Let i(p) be the first derivative of 8*p**3/3 - 33*p**2 - 164*p - 919. Solve i(q) = 0 for q.
-2, 41/4
Factor 61*o - 9*o**2 + 0*o**2 - 186*o + 420 + o**2 + 3*o**2.
-5*(o - 3)*(o + 28)
Let n(t) be the third derivative of -7/9*t**3 + 74 + 0*t + 1/45*t**5 + t**2 + 13/36*t**4. Factor n(w).
2*(w + 7)*(2*w - 1)/3
Let v(c) = 26*c**4 + 95*c**3 + 36*c**2 - 39*c - 18. Let b(u) = -u**2 - u - 3. Let l(t) = -4*b(t) + v(t). Suppose l(z) = 0. What is z?
-3, -1, -2/13, 1/2
Suppose 8*o + 2*z + 12 = 11*o, 0 = 5*z + 30. Let m(g) be the first derivative of 0*g**4 + 0*g + o*g**5 + 0*g**2 + 19 + 0*g**3 - 1/24*g**6. Solve m(b) = 0.
0
Find r such that 18637844 + 213323*r + 47*r**2 + 5070316 + 2024*r**2 + 210037*r + 5*r**3 + 449*r**2 = 0.
-168
Let s = -3/5000 + 1663/105000. Let d(h) be the third derivative of 1/60*h**4 - 21*h**2 + 0*h + 0*h**3 - s*h**7 + 1/25*h**6 + 1/20*h**5 + 0. Factor d(z).
-z*(z - 2)*(4*z + 1)**2/5
Determine v so that 93*v**2 + 17*v**2 + 4*v**4 - 188472 + 188472 + 82*v**3 - 76*v = 0.
-19, -2, 0, 1/2
Let w(r) be the first derivative of r**3/9 - 65*r**2/6 - 22*r + 3804. Solve w(t) = 0.
-1, 66
Let p(n) = 7*n - 72. Let t be p(11). Suppose 0*x = 4*x - 8, -t*j - 5*x + 10 = 0. What is c in j*c**3 + 10 + 22*c - 5*c**3 - 7*c + 0*c**3 = 0?
-1, 2
Find c, given that -101/3*c**3 + 99*c**2 + 1/3*c**4 - 295/3*c + 98/3 = 0.
1, 98
Let o(k) be the first derivative of k**4/8 + 241*k**3/3 - 4895*k**2/4 + 6150*k - 12753. Determine s, given that o(s) = 0.
-492, 5
Let j = 252 - 249. Let 71*w**j + 253*w**2 - 408*w**2 - w**4 + 197*w**2 - 30*w**3 = 0. Calculate w.
-1, 0, 42
Let r(c) be the first derivative of c**4/26 - 22*c**3/39 + 16*c**2/13 + 168*c/13 - 18. Determine d so that r(d) = 0.
-2, 6, 7
Factor 0 + 340/13*k**2 + 2/13*k**4 + 0*k + 342/13*k**3.
2*k**2*(k + 1)*(k + 170)/13
Let k(y) be the third derivative of -4/15*y**5 + 4*y**2 + 3/70*y**7 + 0 - 11/120*y**6 + 0*y**3 + 0*y + 1/6*y**4. Suppose k(c) = 0. What is c?
-1, 0, 2/9, 2
Let z(w) = -w**5 - w**4 + w**3 + 1. Let q(c) = 8*c**5 + 16*c**4 - 18*c**2 - 6. Let n = -116 - -89. Let v = n + 28. Let o(a) = v*q(a) + 6*z(a). Factor o(j).
2*j**2*(j - 1)*(j + 3)**2
Let t(l) = 2*l**2 + 38*l + 5. Let h be t(-19). Factor -4*s**3 + 4*s + 11*s**2 + 0*s**2 - 17 + 1 + h*s**2.
-4*(s - 4)*(s - 1)*(s + 1)
Let n(a) be the first derivative of -4/3*a**3 - 250 + 424/7*a**2 - 240/7*a. Factor n(g).
-4*(g - 30)*(7*g - 2)/7
Let a(z) be the second derivative of -z* | {
"pile_set_name": "DM Mathematics"
} |
6. Let m be x(4). Suppose 14 = -3*f + m. Let j = 4 + f. Solve w - 3 = -j for w.
3
Let t(z) = -z**3 + 2*z. Let x be t(2). Let d = 6 + x. Solve 1 = -d*c - 5 for c.
-3
Let u(s) be the third derivative of s**4/24 + s**3/2 - s**2. Let z be u(0). Solve -2*y = -3*y + z for y.
3
Let k(h) = h**3 - 6*h**2 + 5*h + 1. Let l be k(5). Solve 5*d - l = -11 for d.
-2
Let k = 22 + -14. Let n be 3/(0 + 6/k). Suppose -n*w + 51 = -37. Solve w - 2 = -4*f for f.
-5
Let l be (-2 - -5)/(6/236). Let a be 12/60 + l/10. Solve -a = 5*o - 32 for o.
4
Suppose -5*i + 9 + 11 = 0. Suppose 0*t - 4*d = -i*t - 16, -3*t + 18 = 3*d. Solve -3*z + 2 = -t for z.
1
Suppose 0 = i - 0 - 8. Let a be 14/i*(2 + 2). Suppose 2*y + a = 5*j - 1, -5*j = -3*y - 7. Solve 2*t = 6 + j for t.
4
Let m = 34 - 34. Solve 1 = s - m for s.
1
Let r(l) = -l**3 - 9*l**2 - l - 6. Let j be r(-9). Suppose j*p = 6*p - 15. Solve 5*n = -p - 0 for n.
-1
Suppose 21 = -0*t - 3*t. Let k(o) = -o - 7. Let y be k(t). Solve y*a + 4 = a for a.
4
Suppose 2*r - 3 = 3*c, 5*c + 14 = 5*r + 4*c. Solve -r*m = -8*m - 15 for m.
-3
Let y(n) = n**2 - n - 3. Let v be y(3). Suppose a - 11 = -3*s - 0*s, -12 = v*a. Solve -3*r = -s + 2 for r.
1
Suppose 3*y = 8*y - 50. Let u = y + -6. Suppose -5*r - m + 4 = 0, r + 0*m - 8 = -2*m. Solve -p - u*p = r for p.
0
Let n be (-6)/((-18)/(-15)) + 2. Let f be (n/1 + 3)/1. Solve f = 4*g + 3 + 5 for g.
-2
Suppose -3*d + 0 - 18 = 0. Let m be d/(-4)*8/6. Suppose -c = m*c. Solve c = -k + 3*k for k.
0
Let v(b) = b**3 - b**2 + 2. Suppose 2*o + 3*o = a - 25, 20 = -4*a - 4*o. Let r be v(a). Solve r*j + 15 = 5*j for j.
5
Let t = -18 + 14. Let y(i) = i**3 + 3*i**2 - 5*i - 1. Let s be y(t). Solve -s + 7 = g for g.
4
Let l = -16 + 8. Let v = l - -5. Let a be 2/3 + (-58)/v. Solve -6*q + q = a for q.
-4
Let l(y) = -y**2 + 15*y - 10. Let v be l(14). Solve f + 1 = -v for f.
-5
Suppose -3*a = -4*u - 25, u + 4*a + 32 = -3*u. Let c be 4*(0 + (-1)/2). Let i = c - u. Solve -i*s = -4 - 21 for s.
5
Suppose -2 + 1 = -k. Let p be (k/2)/(4/8). Suppose 0 = v - p. Solve -4 = -5*c + v for c.
1
Let u be (-2 - 33/(-7)) + 16/56. Solve 0 = u*r + 1 + 8 for r.
-3
Let z(i) = 3*i + 7. Let y be z(-7). Let r = y - -21. Solve 3 = 4*t + r for t.
-1
Suppose 0*a = 6*a - 30. Solve 0 = -a*m + m + 16 for m.
4
Let w(r) = -2*r**2 - 7*r + 3. Let o(q) = q**2 + 7*q - 2. Let h(n) = 3*o(n) + 2*w(n). Let m be h(3). Solve y - m = -2*y for y.
4
Let q be (0 - (-1)/(-4))*-12. Let p = 5 - -4. Solve 0*n - q*n = -p for n.
3
Suppose 0 = y - 20 + 5. Solve 3 = 3*j + y for j.
-4
Let k(p) be the first derivative of p**4/2 - 2*p**3/3 - p**2/2 - p + 1. Let y be k(2). Suppose 3*z - 6 = 3. Solve 2 = -y*t - z for t.
-1
Let z be 1155/27 - 6/(-27). Suppose 2 = f - 3, b + z = 5*f. Let x = b + 30. Solve -d + 4*d = x for d.
4
Suppose 0 = 4*r + 6*r. Solve n = -r*n for n.
0
Let l be (-3 - -4)*-2 + -1 - -3. Solve 0*w + 3*w + 15 = l for w.
-5
Let z = 9 - -11. Solve t - z = -3*t for t.
5
Let c = -105 - -107. Let w(f) = f + 18. Let k be w(-8). Solve -c*m + k = 2 for m.
4
Let n be (-102)/(-8) + 6/(-8). Solve -3*c = c + n for c.
-3
Let u be (-12)/(-2) - (3 + -9 + 9). Solve 0 = u*v + 9 for v.
-3
Let p = 20 + -14. Solve 5*h = -p - 14 for h.
-4
Let b be 4/9*18/4. Suppose -5*c = 2*l - 15, -3*c + b = -c. Solve l*i - 3 = -8 for i.
-1
Suppose 4 = s - 4. Let a = s + -6. Solve -5*c = -a*c + 9 for c.
-3
Let b be 1 - ((-15)/3 + 2). Let g = b - 0. Solve 0 = -g*y - 2 - 2 for y.
-1
Let r(v) = v**2 - v + 2. Let p be r(0). Let a = 2 + -7. Let s(g) = -g - 4. Let w be s(a). Solve -h - p = -w for h.
-1
Suppose 5*k = -2*k + 28. Let s be ((-5)/2 + 2)*0. Solve 2*t - k = -s for t.
2
Let y(t) = 3*t**3 - t**2. Let j be y(1). Suppose d - 10 = -5*v - 36, 5*d + j*v + 176 = 0. Let b be (22/(-6))/(6/d). Solve 4*s + 6 - b = 0 for s.
4
Let o(h) = -h**3 - h**2 + 16. Let s be o(0). Suppose -r - 2*m + 5*m + s = 0, 0 = 5*r + 2*m - 12. Let i be (-80)/(-3) + (-2)/3. Solve i = r*t + 6 for t.
5
Let w = 33 + -32. Solve a = -w + 5 for a.
4
Suppose -k = 3*k - 20. Suppose 0 = 6*p - k*p. Solve p*o = o + 5 for o.
-5
Let b = -7 + 9. Solve b*y = 6*y - 16 for y.
4
Let k = -4 - -8. Let b(c) = c**2 + 4*c + 1. Let j be b(-5). Solve 2*d - j = k*d for d.
-3
Suppose 5*n + 2*p + 85 = 0, 5*p + 74 = -4*n - 11. Let c be (n/(-20))/((-1)/(-12)). Solve 5*m - c = 2*m for m.
3
Suppose m = 5*m - 24. Suppose 0 = 5*y - 5*l - 15, -2*y + 3*y = 2*l + m. Let u be (-3 - (y + -1)) + 17. Solve -a = 4*a - u for a.
3
Let k be -1 - (3 + (4 - 8)). Solve k*p - 1 = p for p.
-1
Let n be ((-64)/(-12) - 6)/((-4)/6). Solve -3*j = n + 14 for j.
-5
Let v(r) be the first derivative of -r**4/4 + 5*r**3/3 + 2*r + 2. Let k be v(5). Let j(t) = -t**2 - 11*t + 4. Let u be j(-11). Solve -u*m + k*m = 0 for m.
0
Let n(p) = -p**3 - 6*p**2 - 6*p - 5. Let b be n(-5). Let d(l) = 5*l**2 + l**3 + b*l**3 - 4*l**2. Let i be d(2). Solve -w = 2*w + i for w.
-4
Let w(p) = 18*p - 4. Let o be w(1). Solve -5*j - o - 11 = 0 for j.
-5
Suppose 2*x + 0*x = -10, 26 = 2*h - 4*x. Suppose 0 = -2*o + 10 + 8. Suppose 4*c = o*c. Solve -7*i + h*i - 16 = c for i.
-4
Let y(w) = 1. Let l(m) = -2*m + 6. Let o(h) = -l(h) - y(h). Let f(d) = -d**3 + 5*d**2 + 6. Let g be f(5). Let p be o(g). Solve 12 = p*q - q for q.
3
Suppose s - 3 = -5, -3*i - 3*s + 3 = 0. Suppose i = p - 0*p. Suppose 4*d - 20 = 12. Solve -p*y - d = -5*y for y.
4
Suppose 4*o - 7 = 1, -2*o = 2*t + 20. Let d = -11 - t. Let i be (-4)/2 + 6 + -1. Solve -d = i*k - 10 for k.
3
Suppose 1 = 5*c - 4. Let f be c*1/(-3)*0. Suppose -9*l + 4*l = f. Solve 3*i = -l*i - 9 for i.
-3
Suppose -5*n + 3*o + 70 = -15, 4*o + 20 = 2*n. Solve -n = -0*b + 4*b for b.
-5
Let t(r) = r**2 + 7*r + 9. Let v be t(-6). Suppose -5*c + v*c + 36 = 0. Solve 4*h - c = -2 for h.
4
Let w be -1*(-1)/(-2)*0. Let s = -92 - -97. Solve w = s*q - 2*q for q.
0
Let j(a) = -7*a + 47. Let b be j(6). Let i = 8 + -4. Let f be 2/i + (-1)/2. Solve f = -b*r + 4*r for r.
0
Let g be 36/54 - 22/(-3). Let q be 3/1 - (g + -5). Solve q*h = -4*h + 20 for h.
5
Suppose -4*d + 6 = 5*x - 7, -8 = -4*x - 4*d. Suppose -2 = -x*l + 13. Solve 0 = l*s - 5*s + 10 for s.
5
Let u = 21 - 14. Suppose -x - u = -10. Let s = x - 2. Solve s = t - 1 for t.
2
Suppose m = -2*m + 129. Suppose m = 4*a + 3. Solve 5*k - a = 10 for k.
4
Suppose 0 = h + 2*q - 1, 3*h + 2*h - 2*q - 17 = 0. Suppose 0 = -2*y - 3*x - 23, -y + 6 = -h*x + x. Let w be 24/15 - y/10. Solve 0 = -w*f + 1 + 3 for f.
2
Let n be 2/(1/2*-4). Let o be (16/(-2))/(1/n). Solve 0*v - o = 4*v for v.
-2
Suppose 26 = 3*w - 7*p + 3*p, -3*p - 13 = w. Suppose w*r - 8 = -2*o - 0*r, -o + r - 4 = 0. Let z be (o - 2) + 1 - -3. Solve -f = 2 + z for f.
-4
Let b(u) = -u + 3. Let s be b(-3). Let p = -2 + s. Solve -i = -0*i - p for i.
4
Let v be 1/2*(-27 - -1). Let u(c) = c**3 + 12*c**2 - 13*c + 8. Let z be u(v). Let t(f) = -f**3 - 4*f**2 - 5*f - 4. Let k be t(-3). Solve k*g = -2*g + z for g.
2
Let s = 6 + 4. Suppose -w - 5*g - s = 0, 5*w + g - 10 = 6*g. Solve w = f - 2*f + 3 for f.
3
Let d = -7 - -12. Suppose 0 = 5*p + 3*o - o - 17, d*p - 16 = -o. Solve p*y = 5*y - 10 for y.
5
Let b(h) = -h**2 + 9*h - 5. Let r be b(8). Solve 0 = -4*m - r - 9 for m.
-3
Let y be 2 + -4 + -2 - -6. Solve 2*j = -y*j for j.
0
Suppose -3*t + 23 - 2 = 0. Solve t*p = 4*p - 9 for p.
-3
Suppose 4 = 3*y - 2. Suppose y - 6 = -a. Solve -2 = -2*h + a for h.
3
Let a(v) = v**2 - 5*v + 12. Let t be a(3). Solve -4*d = 14 + t for d.
-5
Let z(r) = -r + 6. Let x be z(5). Suppose j - 3*j = 0. Suppose j = g + g. Solve -x = l - g*l for l.
-1
Let w be (-6)/3 + 5*-1. Let f be w - (1 + (-2 - 0)). Let v = f - -14. Solve 0 = -v*d + 3*d for d.
0
Suppose 4*o + 2*g - 52 = 0, o - 4*o + 57 = -3*g. Solve -2*p + o = p for p.
5
Let g = -28 - -15. Let m be (g + 6)*1*-2. Solve -5*h - m = -4 for h.
-2
Suppose 2*f = 8, -3*c + 0*f = f - 19. Solve -3 = -2*t + c for t.
4
Suppose 3*m - 11 - 10 = 0. Suppose m = 5*j - 4*j. Solve j = -3*b - 8 for b.
-5
Let k be -2 + 1 - 3/(-6)*2. Solve 0*x - x - 4 = k for x.
-4
Suppose 0 = -3*j - 2 + 11. Suppose -j*f = -45 - 0. Suppose v + 0*v - 4 = 0. Solve -v*k = -k - f for k.
5
Let p = -17 + 25. Solve p*h - 3*h = 0 for h.
0
Suppose -3*t = t, -5*b + 10 = 3*t. Solve 10 = 2*c + b for c.
4
Suppose -21*p + 16 = -19*p. Solve -8*n - p = -10*n for n.
4
Suppose -2*n + 3*y = 3, -4*n + 3*n - 9 = -3*y. Let b be (3 + (- | {
"pile_set_name": "DM Mathematics"
} |
?
-9
Which is the closest to 5? (a) 0.3 (b) 0.13 (c) 0.059 (d) -0.5 (e) 2
e
Which is the nearest to 0? (a) 2 (b) -33/76 (c) 9
b
What is the closest to -1/2 in 1, -681, -7?
1
Which is the closest to 1/9? (a) 21 (b) -2/9 (c) -0.2 (d) -3 (e) -4
c
Which is the nearest to -19/4? (a) -8 (b) 10 (c) -2 (d) 0.5
c
Which is the nearest to -289/2? (a) -2 (b) 1 (c) -0.5
a
Which is the closest to 0.2? (a) 16906 (b) 2 (c) -0.12
c
Which is the nearest to -2? (a) 5 (b) -150 (c) 2.9
c
Which is the closest to -23? (a) 1/4 (b) -0.1 (c) 0.6 (d) -147
b
Which is the nearest to -0.4? (a) -28 (b) 0.5 (c) -0.05 (d) -0.3
d
What is the closest to 1 in -1, 0, 0.03031, 4?
0.03031
What is the closest to 8 in 0.5, 3, -167.3?
3
Which is the nearest to 0? (a) -0.3 (b) 13 (c) -2 (d) 0.01 (e) -3
d
What is the nearest to 1 in 1, -617/4, 2/13?
1
What is the nearest to 2/5 in -1/11, 0, -10, 1/12?
1/12
What is the nearest to 1/3 in -97.4, -0.5, -1/4, -2, -4?
-1/4
Which is the closest to 83? (a) 43 (b) 0.1 (c) -1 (d) -1/7
a
Which is the closest to -173? (a) 5 (b) 2/9 (c) -1/3 (d) -0.7 (e) 1/2
d
Which is the closest to -266/9? (a) 0.7 (b) -2/5 (c) -2/11
b
Which is the nearest to 10? (a) 0 (b) -24 (c) -0.17 (d) 2 (e) -5
d
What is the closest to 0.3 in 63, 3, -1, -4?
-1
What is the nearest to -2/3 in -2, -1, 5, -23, 10/7?
-1
Which is the nearest to 2/3? (a) 2 (b) 1 (c) -570
b
What is the closest to -1 in 2/3, 1, 16, -1282.4?
2/3
Which is the closest to -106? (a) 30 (b) -53 (c) -0.4
b
What is the nearest to -1/3 in 2/7, 6, -1/17, 0.4, -6?
-1/17
What is the nearest to -197 in 0.1, 2/17, -3/4, -0.3, 0.5?
-3/4
Which is the nearest to -4? (a) 26/657 (b) -3 (c) 3
b
Which is the closest to 0.1? (a) 1 (b) 0.5 (c) -85971
b
Which is the closest to 1? (a) -3/20 (b) -3 (c) 3/89 (d) 4
c
What is the closest to 1 in 2/395, 0.4, 0, -6, 2/9?
0.4
Which is the closest to 1659/20? (a) 0 (b) -2/13 (c) -1
a
What is the closest to 1/2 in 32, 4.5, 2, 0.4?
0.4
What is the closest to 4 in 4, 3, 11, 1/94?
4
Which is the closest to 0? (a) 6 (b) -2/13 (c) -2/31 (d) -0.5
c
Which is the closest to 0.02? (a) -12 (b) 0.22 (c) -5
b
What is the nearest to 2 in -2/21, 83, -0.6, -2/5, 0.1?
0.1
What is the nearest to 1 in -0.11, 92, 7, -1, 5?
-0.11
Which is the nearest to 10? (a) 10 (b) -4 (c) 5 (d) 0 (e) 2
a
Which is the closest to 1? (a) 2/3 (b) -2/3 (c) -1/25 (d) -2/51
a
What is the nearest to 184 in 7, -2, 2?
7
What is the nearest to 0 in -0.1, -0.12, -102, 4?
-0.1
Which is the closest to -239? (a) -2 (b) 1 (c) 0.5
a
Which is the nearest to -29/3? (a) 1 (b) 2/9 (c) -2 (d) -1
c
Which is the nearest to 2? (a) 0 (b) -24499 (c) -2
a
What is the nearest to -20 in 1.1, -2/7, -337/4?
-2/7
What is the nearest to -1 in -0.11, -2/11, -184, -2/7?
-2/7
What is the nearest to 2 in 4/11, 1/24, 2, -2, -371?
2
Which is the closest to -0.12? (a) -27 (b) 0.04 (c) 0.08 (d) 0.05
b
What is the closest to -0.1 in 1/3, -13, -2, -1?
1/3
What is the closest to 4049 in 0.5, -0.02, -0.2, -19, -1/7?
0.5
Which is the nearest to 0? (a) 8.8 (b) 4 (c) 148 (d) 3
d
Which is the nearest to -1/4? (a) -1/4 (b) -1/579 (c) -19
a
What is the nearest to 2/17 in 0.3, 1, -3.49?
0.3
What is the closest to 1 in -14, 0.09, 196, -0.3, -3?
0.09
What is the closest to -6201 in -0.4, 0, -4?
-4
Which is the nearest to -2? (a) 17 (b) -0.16 (c) -0.06
b
What is the nearest to -695 in 0.1, 4, 18?
0.1
Which is the closest to 2/5? (a) 37492 (b) -0.3 (c) 0.5
c
What is the closest to 2/11 in 7, -102, -36?
7
Which is the nearest to -7/39? (a) 0.4 (b) 2/39 (c) -27 (d) -2/7
d
Which is the closest to 0? (a) 1 (b) -4 (c) -73 (d) -3 (e) -0.04
e
Which is the closest to -2/7? (a) -4.56 (b) 18 (c) -0.2 (d) 0.1
c
What is the closest to -3/4 in 0.124, -2, 3, -5?
0.124
What is the nearest to -0.125 in -0.5, -10, 1, -1/4, 3?
-1/4
What is the nearest to -4/7 in -0.7, 2/11, 0.4, 0.2?
-0.7
Which is the closest to 22? (a) 0.9 (b) -1 (c) 6
c
What is the nearest to 4/5 in -7, -14/15, 1?
1
Which is the nearest to 1/7? (a) 12 (b) 12/13 (c) -2/3 (d) -2/9
d
Which is the nearest to -2? (a) -18 (b) 0.1 (c) 2.84 (d) -7/6 (e) 4
d
What is the closest to 2 in -2, 1/44, -1/13, 3, 4?
3
Which is the closest to 1? (a) 0 (b) -2 (c) 3/7 (d) -5 (e) -6198
c
What is the closest to 0.06 in 0.3, -3/5, 4/9, 0.2, 1?
0.2
Which is the closest to -1.29? (a) -0.4 (b) -2/11 (c) 31
a
What is the closest to -0.2 in -21, 2/13, 4/127, -15?
4/127
Which is the closest to 2? (a) 1209.28 (b) 0 (c) 5
b
Which is the closest to -16? (a) 3 (b) 3/467 (c) 2 (d) 3/4
b
Which is the closest to -0.273? (a) -1/14 (b) -47 (c) 2/9 (d) -1/3
d
Which is the nearest to 24? (a) -1 (b) 2/23 (c) -2/47
b
Which is the nearest to 1? (a) 92 (b) -426 (c) 0.1 (d) 3 (e) -2/11
c
Which is the nearest to 2? (a) -1/7 (b) 25 (c) 3 (d) 0.4
c
Which is the closest to -2/131? (a) 0.08 (b) 2/5 (c) -0.07 (d) 2/7
c
Which is the closest to 248? (a) -0.4 (b) 0.2 (c) 7
c
What is the nearest to 5/2 in 11, 121, 1/3?
1/3
Which is the closest to 0? (a) 0 (b) 3 (c) 0.157 (d) -0.1 (e) -0.5
a
What is the nearest to 2 in 5687, 0, 1/11?
1/11
Which is the nearest to -2? (a) 4 (b) 3/5 (c) -1/3 (d) -28
c
Which is the closest to 0.127? (a) 1371 (b) -0.4 (c) -1/5
c
Which is the nearest to -4/5? (a) -0.4 (b) 3 (c) 0.1 (d) -2
a
What is the nearest to -3 in -0.5, -4, -20374?
-4
What is the nearest to 1 in -2, -7, -7.7, 8?
-2
Which is the nearest to 1252? (a) 0 (b) -0.8 (c) -13 (d) -5
a
Which is the nearest to 0.2? (a) 0.3 (b) 1/8 (c) -0.177 (d) 126
b
Which is the closest to 0.4? (a) 1/5 (b) -5/7 (c) 0 (d) -98
a
What is the closest to 2439 in -2/11, 0.2, 0.5, 3/4?
3/4
What is the nearest to 1 in 4/3, 17, 4?
4/3
What is the nearest to -177 in -1/24, 1, -3/4, 37, -0.2?
-3/4
What is the closest to 13 in -20, 2, 6, 5/3?
6
Which is the nearest to 1? (a) -3 (b) 9.87 (c) 0.2 (d) 0.5
d
What is the closest to -14 in -2, 0.4, -2505, -5?
-5
What is the nearest to 9 in -4, -1.1, -2/13, -1/7?
-1/7
Which is the nearest to -2/9? (a) 28/5 (b) -1/2 (c) -61 (d) 2/3 (e) 5
b
What is the nearest to -0.1 in -17, -2/35, -14, -0.3?
-2/35
What is the nearest to -32 in 0.1, 4, 1/4, -2/7, 17.4?
-2/7
What is the nearest to -2/3 in 2/191, -28.91, 5?
2/191
What is the closest to -1 in 10/29, -2, 4, 0.7, -5?
-2
Which is the closest to 0.1? (a) 4/7 (b) 38 (c) -1.3 (d) 2/17
d
Which is the closest to 2/27? (a) -4/9 (b) 3 (c) -3/2
a
What is the closest to 14 in 5, 3/4, 4, -145?
5
What is the nearest to 1 in -0.3, -0.5, 219, 1?
1
What is the nearest to 1/13 in -0.5, -0.2, 5, -13, 3?
-0.2
What is the nearest to -8/7 in 7/8, 3/13, 7/2, 2?
3/13
What is the closest to -4/7 in -1/22, -5, -4?
-1/22
Which is the closest to -0.1? (a) -4/9 (b) -0.06 (c) 1/3 (d) -4
b
What is the nearest to 0.3105 in 0.07, -1/5, -0.1?
0.07
What is the closest to 1/2 in 1/168, -0.4, -5, 3, 52?
1/168
Which is the nearest to 2? (a) -0.226 (b) 0.29 (c) 0.011 (d) -0.1 (e) 1
e
What is the closest to -82 in 1, 1/18, -7/3, -3?
-3
What is the nearest to 2/3 in 11, 914/5, 0.1?
0.1
What is the nearest to 2 in 46, -4, 1, -0.5, 68/7?
1
Which is the nearest to -1? (a) -3 (b) 4 (c) 15 (d) 5.7
a
What is the nearest to -3 in 0.1, -1, 2, -85, -31?
-1
Which is the nearest to 20? (a) -3 (b) -4 (c) -2/71 (d) 2
d
What is the nearest to 0 in 19, 2/21, -0.039?
-0.039
Which is the nearest to 0.4? (a) 49 (b) -1/2 (c) -2 (d) 0
d
Which is the closest to -2/3? (a) -0.5 (b) -4 (c) 0.5011 (d) 4
a
What is the nearest to -797 in -2, -0.3, -0.1, 0, -0.2?
-2
What is the nearest to -11 in 547, -3, -1?
-3
What is the nearest to 2/3 in -1/5, 0.06, 2, 5099?
0.06
What is the nearest to -57 in -3, -1.1, -2.4, -5?
-5
What is the closest to -0.7 in 0.3, -264, -1/4, 2/7?
-1/4
What is the nearest to 3 in 5, -6, -2/183, 2?
2
What is the nearest to 0.1 in 0.038, 145, -3/2, -1?
0.038
Which is the closest to -1/3? (a) -4 (b) -0.1 (c) 7 (d) -1/7 (e) -2/9
e
Which is the closest to -0.1? (a) -74.2 (b) -0.5 (c) -0.17 (d) 1 (e) 4
c
Which is the nearest to -185? (a) -0.3 (b) 3/8 (c) -3/4
c
Which is the closest to 4/1093? (a) 19 (b) 2/5 (c) - | {
"pile_set_name": "DM Mathematics"
} |
(a) = -124*a + 3350. Let j be u(27). Solve j*o + o = q for o.
0
Let x(m) = 3*m + 159. Let t be x(-43). Suppose 172*c = 174*c - t. Solve -o - c = -6*o for o.
3
Let i be 108/(-486) - (-2)/(-18)*-20. Suppose -10 = -2*j + 5*n, i*n + 10 = 2*j + 7*n. Solve 11 + 14 = -j*q for q.
-5
Suppose -2*v + 288 = 4*i, 5*i + 89*v - 86*v = 359. Solve 55*p - i = 37 for p.
2
Let w(o) = 53*o - 77. Let z be w(8). Let l = 352 - z. Suppose 3*q = 2*n - q - 6, 3 = 2*n - q. Solve 0 = -l*b - n - 19 for b.
-4
Let u be (18/12)/(5533/(-396) - -14). Solve 73*g = 91*g + u for g.
-3
Let z be 1 + 5 + 37/(148/336). Solve 0 = -24*x + 9*x + z for x.
6
Let d = 27 - 23. Let i = 6 + -33. Let t = -1 - i. Solve -d*m + 6 - t = 0 for m.
-5
Let y be (10 - 5) + ((-10)/(-6))/(17/(-51)). Solve y = 13*o + 21*o + 102 for o.
-3
Let m(n) = -2*n**3 - 16*n**2 - 14*n - 3. Let c(r) = 3*r**3 + 31*r**2 + 28*r + 5. Let u(y) = -3*c(y) - 5*m(y). Let p be u(14). Solve p*t + t = 1 for t.
1
Let m(i) = -i**2 - 72*i - 165. Let c be m(-69). Let o = 22 - -14. Let y = c - o. Solve y = 2*w + w for w.
2
Let v be (-682)/55*390/(-12). Let y = v + -403. Solve y = k + 1 - 5 for k.
4
Let v(q) = -2*q**2 + 39*q + 476. Let i be v(28). Solve i = -19*d + 13*d + 24 for d.
4
Let l = 8083 + -8070. Solve -54*y + 67*y + l = 0 for y.
-1
Suppose 96 = 2*r - d + 74, -5*d - 5 = 5*r. Solve 4*o = r*o + 12 for o.
-4
Let h(o) = -32*o - 2066. Let x be h(-65). Solve -11*i + x - 58 = 0 for i.
-4
Let l(c) = 63*c - 5 - 59*c + 17 + 8. Let h be l(-6). Let g = 11 + h. Solve g = -2*d - 1 for d.
-4
Suppose -3*f = -2*y + 73, 4*y - f + 3*f - 154 = 0. Suppose -4*s + s = -2*i + 22, 2*s = 3*i - y. Suppose -15761*j + 15760*j + 2 = 0. Solve -3*n + j = i for n.
-4
Let w be (320/12)/5*(3/2)/(-1). Let g(c) = -4 - 4 - c + 0. Let v be g(w). Solve -4 = -4*f - v*f for f.
1
Let u(c) = 104*c + 219. Let n be u(-2). Solve 19*z = n + 8 for z.
1
Suppose -4*b - l = 8, 27*b - 40 = 32*b + 5*l. Solve b = -970*q + 955*q - 75 for q.
-5
Let c be (6 - -2 - 5)/((-6)/(-154)). Solve -c = 980*l - 991*l for l.
7
Suppose -7*d + 33*d - 21840 = 0. Solve -d*r = -841*r + 6 for r.
6
Let o(z) = 95*z**2 - 221*z - 220. Let x be o(-1). Solve 14*m + 12 - x = 0 for m.
6
Let u be 0/6 + (2 - -1). Suppose 0 = -u*j + j - 4*a - 4, -1 = -4*j + a. Suppose d + 1 = 3. Solve j = p - d*p + 3 for p.
3
Suppose 162 = 2*j + t, -2*j + 162 = -3*t - t. Solve j*q = 148 - 472 for q.
-4
Let j be 1 - (1 + -16 + 2). Solve 0 = 8*n - j*n - 30 for n.
-5
Suppose 4 = 3*i + 3*c - 2, -2*c = -4*i + 26. Suppose -2*a + 2*r - 4*r = 8, -4*a - 3*r = 16. Let w = 6 + a. Solve w - i = -3*h for h.
1
Let r(s) = 17*s - 15. Suppose 5*n + 5*d - 15 = 0, 3*n = 7*n - 2*d. Let f be r(n). Solve -10*h + 9*h - f = 0 for h.
-2
Suppose 232 + 216 = 70*n - 1442. Solve 2*a + 7*a - n = 0 for a.
3
Suppose -143*o + 38937 = 3044. Solve 21 = -254*l + o*l for l.
-7
Let s = -188 + 171. Let t(g) = 12 - 4*g**2 - 16*g + 11 + 3*g**2. Let z be t(s). Solve -4*f - 2 - z = 0 for f.
-2
Suppose 0*k - 2*k = 4*i + 716, -k = i + 178. Let m be (2 + (-16)/(-6))*i/(-35). Suppose m*a - 26*a + 6 = 0. Solve a = -j - 0 for j.
-3
Let u(k) = 2*k**2 - 2*k - 4. Let a be u(3). Let s be (-1*4/8)/(-1)*a. Suppose -h + 1 = -v - s, 4*h + 2*v - 2 = 0. Solve 5*q = 4*q + h for q.
2
Let g(u) = -5*u - 23*u**2 + 26*u**2 + 19*u + 8. Let y be g(-4). Solve -r - 1 = -y*r for r.
-1
Suppose 3*p - 10*c - 11 = -8*c, 2*p - 4*c = 10. Suppose p*h = -745 + 763. Let f = 15 + -11. Solve 5*u = -f - h for u.
-2
Suppose x - 3 = -2*x, 5*x = i. Let s(b) = b**3 + 5*b**2 + 3*b + 3. Let j be s(-4). Let q = -80 - -82. Solve -q*v = -j*v - i for v.
-1
Let m(x) = -2*x**3 + 68*x**2 + 72*x - 40. Let c be m(35). Let b be 15/(c/4)*5/2. Solve -4 + b = -r for r.
-1
Suppose -27*z = -25*z - 3*t + 194, -3*t - 443 = 5*z. Let b = 96 + z. Solve 4*o - b = 3 for o.
2
Let l be (-61)/(-5) - (-8)/(-24 + -16). Solve 18*r = 12*r - l for r.
-2
Let j be (4/(-3))/((-1)/12) - 4. Suppose y = 4*y - j. Solve p = -y + 5 for p.
1
Let f be 4*(-7)/(-56)*142. Suppose -f = -8*s + 9. Solve s = 3*g - 5*g for g.
-5
Suppose 14 = 10*i + 4. Suppose i + 24 = 5*k. Let d = 33 - 19. Solve 11 + d = -k*l for l.
-5
Suppose -9*l - 3 = -12*l. Let y be (-1*(l + -1))/(57 - 54). Solve y = -72*m + 67*m + 5 for m.
1
Let a(t) = 54*t - 3152. Let d be a(60). Solve 82*s + 30 = d*s for s.
5
Suppose 2*j - 3*q + q - 18 = 0, 5*j - 4*q = 41. Let o be (120/28)/j*(-3 - -10). Let i be (-4)/o*-6 + -2. Solve -4 = i*b + 4 for b.
-4
Let h be 56/(-8) - -7 - (-785)/(-5). Let v = h - -161. Solve -v - 5 = 3*q for q.
-3
Suppose 0 = -3*g - 3*t + 42, -g = -0*t + 5*t - 34. Suppose 0 = -2*l - 0*k + 2*k + 6, 3*l - g = k. Solve -l*m = 6*m for m.
0
Suppose 166*s - 57915 = -185*s. Solve -d = 32*d + s for d.
-5
Let n(z) = z**3 + 9*z**2 - 12*z + 18. Let l be n(-9). Let y = -120 + l. Solve -y*p - 8 = 2*p for p.
-1
Let o = -5 + -1. Let j be o/27 + (-29)/(-9). Let t = 124078 + -124077. Solve j*r - 4*r = -t for r.
1
Let k be 10332/546 - 2/78*-3. Solve -43*b = -62*b - k for b.
-1
Suppose -3*x - 2*f = -14, 45 = 2*x - 2*f + 49. Solve 0 = -16*w - 62 - x for w.
-4
Let y be -14 + 3 - -10 - 1*-5. Suppose y*q - 163 + 143 = 0. Solve -q*g + 0*g = 10 for g.
-2
Let p be 1/(8/4 - (-750)/(-374)). Let q = p - -190. Solve -3 = -q*h + 2*h for h.
3
Let u = 31683 - 31681. Let g(q) = 5*q**2 + 2*q + 1. Let b be g(-1). Solve -t + u*t = b for t.
4
Let d be 10 + (-528)/56 + (-35915)/(-77). Solve -367 + d = 20*i for i.
5
Suppose 0 = 214*l - 31903 + 3227. Solve 120 = 14*b + l for b.
-1
Suppose l - 70*a = -74*a + 11, 5*a + 169 = 3*l. Solve l*x = 42*x for x.
0
Suppose l + 3 = 0, k - 3*l = -0*l + 12. Suppose -w + 19 = k. Suppose -4*g + 8 = 4*i, -2*g - 5*i = -66 + 68. Solve -w = g*h - 4 for h.
-3
Suppose -2*h - 18*z + 20*z - 12 = 0, 2*z = -4*h + 18. Solve 18*p - h = 19*p for p.
-1
Let r be (-133)/(-49) + ((-900)/(-126))/25. Suppose -b = -4*b + 12. Solve a - r = -b for a.
-1
Let r = -23 + 48. Suppose -6*z = 5*z + 5*z. Suppose z*n + 5*n - r = 0. Solve -6 = 2*b - n*b for b.
2
Suppose r + 881*v = 882*v + 2, -12*r + 114 = 3*v. Let y(n) = n**3 + n**2 - 2*n. Let c be y(2). Solve -4*q - r = c for q.
-4
Suppose 18144 = 89*l - 6*l - 11*l. Solve -50*h - l = 48 for h.
-6
Suppose -818*j = -831*j + 182. Solve j*o = 246 - 316 for o.
-5
Let w = -12411 + 12462. Solve 0 = -3*t + w - 72 for t.
-7
Suppose 4*y - 8 = 4*s, -4*y + 21 = 2*s + 1. Let w = 3073 - 3070. Solve 0 = -w*n - s + 5 for n.
1
Let v = 5990 + -5980. Solve 1826*o - 1831*o - v = 0 for o.
-2
Suppose 3*t - 7 = -m, 0 = 4*m - 0*t + t - 28. Let r be m*(8/(-16) + 15/14). Solve -6 = -5*f + r for f.
2
Let s = 22 - -89. Let m(v) = 55*v - 551. Let o be m(8). Let k = o + s. Solve k = c - 4*c + 12 for c.
4
Let i be (20/15)/((-6)/(-189)). Suppose 4*w - 93 = 2*s - 13, -3*s = 3*w - i. Suppose 5*x - 7 = w. Solve -4*r = r - x for r.
1
Let m be (-5142)/((-5)/((-45)/(-99)) - -5). Solve 189 = m*b - 878*b for b.
-9
Let r(z) = -117*z**2 - 358*z - 3. Let v be r(-3). Solve 17*o + v = -o for o.
-1
Let f be (-282)/(-54) - (-6)/(-27). Suppose 0 = -5*r + b, 3*r + 12 = f*b - 10. Solve 0 = w + r + 2 for w.
-3
Suppose -1157 = -3266*k + 3253*k. Solve 37*g = -22 - k for g.
-3
Let l be 2/(4/6) - 1. Suppose -93*x + 89*x = s - 44, 2*x = -5*s + 40. Solve -x = -l*f - 0 for f.
5
Let s(p) = 2*p + 6. Let z(k) = k**2 + 2*k - 36. Let i be z(0). Let f = 36 + i. Let w be s(f). Solve 15 - w = -3*j for j.
-3
Suppose 0 = -279*c - 145*c + 58512. Solve -168*a = -c*a - 150 for a.
5
Let v be 575/65 + (-10)/(-65) + (-60)/12. Let c(f) = f**3 + 2*f**2 - 2*f - 2. Let n be c(-2). Let d be n/(-2*(-1)/8). Solve -3*m + d = -v for m.
4
Let p = 95 - 93. Suppose p*f = 2 + 40. Suppose f - 18 = a. Solve 2*i - a = -i for i.
1
Let s(x) = 21*x**2 + 34*x - 76. Let n be s(2). Solve 25*h - 201 + n = 0 for h.
5
Suppose -45 = -3*c - 3*s, 5*c + 4*s = -0*s + 75. Suppose c - 9 = x. Let u be (x/5)/((-3)/(-10)). Solve -m - 3*m = u for m.
-1
Suppose 4*w + 4 + 0 = 0. Let r(d) = 9*d**3 + 3*d - 2. Let b(a) = 13*a**3 + 4*a - 3. Let j(s) = -5*b(s) + 7*r(s). Let z be j(w). Solve -4 = z*g - 3*g for g.
4
Let j(s) = 32*s + 914. Let h be j(-28). Solve -h = -99*p + 105*p for p.
-3
Let o = -171 - 139. Let z = o - -331. Solve -18*a - 6 = -z*a for a.
2
Let i be (-12)/(-28) - (-54)/21. Let g be (4/i)/(22/33). Solve h + g*h = 0 for h.
0
Let n(r) = r + 7. Let k be n(-6). Let f | {
"pile_set_name": "DM Mathematics"
} |
ive of -3*v**4 + 143*v**2/2 - 4677*v + 7221. What is the first derivative of k(f) wrt f?
-36*f**2 + 143
Let j(f) be the second derivative of f**7/21 - 227*f**6/30 + 4*f**4 - f**2/2 + 13*f - 51. What is the third derivative of j(w) wrt w?
120*w**2 - 5448*w
Let i(s) = 431*s**3 + 6*s**2 - 6*s + 1481. Let u(d) = 12*d**3 - d**2 + d + 1. Let r(b) = -i(b) - 6*u(b). Differentiate r(f) wrt f.
-1509*f**2
Let t(s) be the third derivative of -8039*s**6/120 + s**4/6 - 1939*s**3/6 - 40*s**2 - 2*s + 4. What is the second derivative of t(h) wrt h?
-48234*h
Suppose -5*g - 5*j + 25 = 0, 5 = 2*g + g - 2*j. What is the third derivative of -12*n**2 + 74*n**g + 25 - 16 - 119*n**3 wrt n?
-270
What is the third derivative of 18*o**4 + 261*o**2 + 378*o**2 + 762*o**2 - 60*o**2 - o**3 - 97*o**2 wrt o?
432*o - 6
Let n(q) = -21075*q**2 + 4341*q - 14. Let v(w) = 14050*w**2 - 2927*w + 10. Let d(a) = 5*n(a) + 7*v(a). Find the second derivative of d(k) wrt k.
-14050
Suppose 3*k + 10 = 5*y, 0 = 3*y - 4*y - 5*k + 2. What is the second derivative of -29 - y*r - 29*r**3 + 37 - 26*r**3 wrt r?
-330*r
Let z(i) be the second derivative of i**8/28 + 3*i**5 - 3515*i**4/12 - 4*i - 4. Find the third derivative of z(b) wrt b.
240*b**3 + 360
Find the second derivative of -160 + 6711*b - 160 - 3110*b**4 - 240 - 3356*b - 3353*b wrt b.
-37320*b**2
Differentiate 750*h**2 + 161*h**4 - 10109 + 99 - 374*h**4 + 208*h**4 wrt h.
-20*h**3 + 1500*h
What is the second derivative of 1 - 581*o**2 - 551*o**2 + 3*o - 1 + 3 - 2 wrt o?
-2264
Let b(r) = 2*r**2 + r. Let d be b(-3). What is the third derivative of -3 - 12 + d + 2*o - 73*o**2 + 105*o**4 wrt o?
2520*o
Let w(c) = c**3 + 9*c**2 - c + 29. Let l be w(-9). Find the second derivative of -l*g**2 + 2 + 173*g + 0 + 8 - 171*g wrt g.
-76
Let i(f) = 54*f + 34. Let n(b) = 109*b + 59 + 219 + 646*b + 197. Let q(j) = 55*i(j) - 4*n(j). Find the first derivative of q(k) wrt k.
-50
Differentiate 285*g + 89 - 171*g - 856*g - 756*g + 594 wrt g.
-1498
Let t(r) = -36564*r - 23661. Let b(s) = -6094*s - 3943. Let j(o) = -17*b(o) + 3*t(o). Differentiate j(i) with respect to i.
-6094
Suppose 0*i = 3*i - 12. What is the first derivative of -118*p**i + 14*p**3 - 117 + 24*p**3 - 38*p**3 wrt p?
-472*p**3
Let c(p) be the third derivative of -p**7/30 - 47*p**4/24 + 2707*p**3/6 + 349*p**2 - 4*p. Differentiate c(j) with respect to j.
-28*j**3 - 47
Let g be ((-44)/(-66))/((-4)/(-42)). Suppose -2*t = -g*t + 190. What is the third derivative of -88*i**2 + t*i**2 - 28*i**4 + 47*i**2 wrt i?
-672*i
Let w = -433 - -433. Let q be (6/5)/((-8)/(-60)). Differentiate -28 + w*s + 3*s - 4*s - q wrt s.
-1
Let w(j) = -5470*j**3 - j**2 + 1845*j + 5. Let l(t) = -2735*t**3 - t**2 + 922*t + 3. Let r(d) = 5*l(d) - 3*w(d). Find the third derivative of r(q) wrt q.
16410
Find the second derivative of 607*n - 6 + 524*n**2 + 3 + 3 - 491*n**2 + 51*n**3 wrt n.
306*n + 66
Suppose -3*w = -4*o + 19, 0*w + 4*w = 3*o - 16. What is the third derivative of 594*a**6 + o*a**3 - 12*a**3 - 600*a**6 - 2 + 0*a**2 + 18*a**2 wrt a?
-720*a**3 - 48
What is the derivative of -5*c - 7775*c**3 + 5*c + 3280 + 5571 - 2853 wrt c?
-23325*c**2
Let s(a) be the third derivative of 1517*a**4/24 - 667*a**3/3 + 16*a**2 - 28*a. What is the first derivative of s(u) wrt u?
1517
Let i be (1 + 0)*(-4 + 4). Suppose 2*k - k - 3 = i. What is the third derivative of 5*b**2 + 13*b**2 + 3*b**3 - 8*b**k wrt b?
-30
Suppose -u = -2*u + 6. Suppose -188*p + 186*p + 16 = 0. What is the third derivative of 0 + p + 26*c**2 - 8 + c**u wrt c?
120*c**3
Let k(n) = -5240*n**3 + 5*n**2 - 4*n - 2359. Let d(w) = -w**3 - w**2 + w - 1. Let f(r) = 5*d(r) + k(r). What is the derivative of f(q) wrt q?
-15735*q**2 + 1
Let y = -181 + 182. Find the second derivative of -y - 61*q - 47*q**2 - 2 + 1 + 67*q wrt q.
-94
What is the second derivative of 333957*k**2 + 683*k**3 - 333957*k**2 + 2 - 8*k wrt k?
4098*k
Let y(x) be the second derivative of 4489*x**5/20 - x**4/2 + 71*x**3/3 + x**2 + 2114*x + 2. What is the third derivative of y(d) wrt d?
26934
Find the third derivative of 2*b**2 - 6*b**5 + 2457 + 11275*b**4 - 11459*b**4 - 10*b**5 wrt b.
-960*b**2 - 4416*b
Find the third derivative of 5148609*k**4 - 5148359*k**4 - 653*k**2 - 267*k**2 - 2*k**3 wrt k.
6000*k - 12
Let w(g) be the second derivative of 0 + 0*g**2 + 109/6*g**3 - 1/10*g**5 + 1/12*g**4 - 64*g. What is the second derivative of w(l) wrt l?
-12*l + 2
Suppose -y - 2*z + 0*z + 52 = 0, 5*y = z + 304. Let a be 3/(-1)*(-40)/y. What is the derivative of 15 + 36*t**a - 36*t**2 + 20*t**4 wrt t?
80*t**3
Suppose 12 = 2*s + 20, 0 = -2*j + 3*s + 16. What is the second derivative of -56*y**2 - 61*y**2 + j*y**2 + 19*y**2 + 58*y - 13*y**2 wrt y?
-218
Let n(t) be the first derivative of 48*t**6 + 12*t**5/5 + 5445*t**2/2 + 2479. What is the second derivative of n(i) wrt i?
5760*i**3 + 144*i**2
Let x(j) be the third derivative of -197*j**7/105 - j**6/60 - j**5/60 + 52*j**3 - 790*j**2. Find the third derivative of x(v) wrt v.
-9456*v - 12
What is the second derivative of -1862*v**4 + 3703*v**4 - 1846*v**4 + 4*v**2 + 11*v**2 + 1410*v wrt v?
-60*v**2 + 30
Suppose 56*j = 55*j + 10. Find the third derivative of -8*g**4 + 6*g**4 + 2*g**2 - 4*g**3 + g**4 + 20 + j*g**3 wrt g.
-24*g + 36
Suppose 10*m = 13*m + 6. Let b be 30*(m - 13/(-5)). What is the derivative of -19*j**3 + 4 - b*j**3 + 31*j**3 wrt j?
-18*j**2
Let q(j) be the second derivative of -59*j**6 - 421*j**4/12 + 2*j - 580. What is the third derivative of q(x) wrt x?
-42480*x
Let f(p) be the third derivative of 293*p**7/210 + p**4/12 - 31*p**3/6 - 2*p**2 + 18*p. What is the second derivative of f(o) wrt o?
3516*o**2
Suppose -16 = 5*x + 4*l, -5*l - 8 = -3*l. Let p = 4 - x. Find the second derivative of 8*r + 7*r**4 + 12*r**p - 7*r**4 wrt r.
144*r**2
Let p(r) be the second derivative of -r**4/12 + 1307*r**3/6 + 990*r**2 - 6247*r. What is the first derivative of p(g) wrt g?
-2*g + 1307
Suppose 19 = p + 15. Suppose 0 = -3*u + p*u - 5. What is the second derivative of 2*l + l**5 - l + 8*l**5 + 4*l**u wrt l?
260*l**3
Let q(n) be the second derivative of 0 - 9*n + 1/42*n**7 + 0*n**2 - 14/15*n**6 + 1/12*n**4 + 0*n**5 + 34/3*n**3. Find the third derivative of q(h) wrt h.
60*h**2 - 672*h
Let q(s) = 7 - 24 + 9 + 7 + 3*s**2. Let d be q(1). Differentiate 13 - 26*m**d - 29 + 5 with respect to m.
-52*m
Find the first derivative of -144*i - 132*i - 14*i**3 - 7*i**2 + 276*i + 1009 wrt i.
-42*i**2 - 14*i
Let a be (-2)/(16/(-104)) - 8. Find the second derivative of -24*x + 10*x**a + 99*x**5 + 40*x + 108*x wrt x.
2180*x**3
Suppose -8*d - 28 = -22*d. Find the second derivative of 22*s**2 - 66*s**3 - 95*s + 89*s - 20*s**d wrt s.
-396*s + 4
Let z be 4/10 - (-40)/25. Find the first derivative of 473*r - 77*r**2 - 473*r - z*r**3 + 6 + 3*r**3 wrt r.
3*r**2 - 154*r
What is the third derivative of 614*l**4 + 690*l**4 + 12*l - 1915*l**6 - 330*l**2 - 1304*l**4 wrt l?
-229800*l**3
Let n(h) be the first derivative of 10/3*h**3 + 0*h**4 + 0*h**5 + 0*h + 0*h**2 + 11/3*h**6 - 28. Find the third derivative of n(k) wrt k.
1320*k**2
Let s = 19 + -19. Suppose -2*k = w - 5, s*k - 9 = -3*k - 3*w. Find the third derivative of 22*b**k - 242*b**4 + 116*b**4 + 114*b**4 wrt b.
-288*b
Let j(a) = -a**3 - a**2 - 1. Let z(v) = v**4 - 3*v**3 + 790*v**2 - 355*v - 3. Let s(n) = 3*j(n) - z(n). Find the second derivative of s(i) wrt i.
-12*i**2 - 1586
Let o(t) be the second derivative of -t**4/2 - 45*t**3/2 + 2123*t**2/2 - 6524*t. What is the derivative of o(p) wrt p?
-12*p - 135
Suppose -380 = 5*g - 0*g. Let y = 88 + g. What is the third derivative of -20*s**3 - y*s**2 + 20*s**3 - 17*s**5 + s**2 wrt s?
-1020*s**2
Let i(m) be the first derivative of -29/2*m**4 + 54 + 0*m**2 + 0*m**3 - 79*m. What is the derivative of i(u) wrt u?
-174*u**2
Let f(a) = -2*a**3 - 9*a - 3. Let r(m) = 17 + 16*m**3 + 31*m + 23*m - 5*m**3. Let h(k) = -34*f(k) - 6*r(k). What is the second derivative of h(g) wrt g?
12*g
Let m(g) be the second derivative of -117*g**5/20 + 5*g**4/12 + 5*g**3/6 - 76*g**2 + 3626*g. What is the second derivative of m(c) wrt c?
-702*c + 10
Find the second derivative of -8685*l**2 - 179*l - 174*l + 7539*l**2 wrt l.
-2292
Let o be 2/(-4) - (90/12 + -5). Let j be ((-24)/(-9) + o)/(1/(-18)). Find the third derivative of 6*c**6 - 27*c** | {
"pile_set_name": "DM Mathematics"
} |
of 111243 and 3371.
111243
What is the lowest common multiple of 10048 and 16?
10048
What is the common denominator of -76/10857 and -88/34545?
379995
What is the common denominator of -27/164 and 55/11314?
927748
Calculate the common denominator of 31/50 and -63/70235.
702350
Calculate the lowest common multiple of 6765 and 328.
54120
What is the common denominator of -149/6 and -21/390044?
1170132
Calculate the common denominator of -71/414 and -1/1221.
168498
Calculate the common denominator of 81/10 and 10/707869.
7078690
Find the common denominator of 113/12 and -143/798168.
798168
What is the least common multiple of 108774 and 290064?
870192
Calculate the common denominator of -33/21968 and -56/12357.
197712
What is the common denominator of -131/73410 and 79/44046?
220230
What is the lowest common multiple of 4 and 62374?
124748
Find the common denominator of 61/256 and -47/192.
768
Calculate the smallest common multiple of 4738 and 759.
156354
Find the common denominator of -55/26 and 39/842.
10946
What is the lowest common multiple of 7215 and 31265?
93795
What is the smallest common multiple of 9 and 31527?
31527
Calculate the smallest common multiple of 7278 and 21834.
21834
Find the common denominator of 32/371 and 17/13664.
724192
Calculate the common denominator of 113/7930 and 4/15.
23790
Calculate the smallest common multiple of 4144 and 560.
20720
Calculate the common denominator of 75/261902 and -47/306.
2357118
Calculate the smallest common multiple of 25296 and 126480.
126480
Find the common denominator of -7/1908 and 11/1802.
32436
Calculate the lowest common multiple of 738254 and 14.
5167778
What is the least common multiple of 22704 and 18?
68112
Find the common denominator of 67/338844 and -37/46206.
1016532
What is the least common multiple of 1582 and 40?
31640
Calculate the common denominator of 113/894260 and 87/89426.
894260
What is the least common multiple of 208 and 2968?
77168
What is the least common multiple of 27 and 1413045?
1413045
Find the common denominator of 25/413006 and -31/1032515.
2065030
Calculate the common denominator of 55/36 and 35/180108.
180108
What is the common denominator of -47/7516 and 23/20?
37580
What is the common denominator of -15/74066 and -19/16?
592528
Calculate the least common multiple of 6556 and 60.
98340
What is the smallest common multiple of 795 and 6660?
352980
Calculate the smallest common multiple of 39883 and 5.
199415
Calculate the common denominator of 37/1434 and 1/16491.
32982
Calculate the lowest common multiple of 898889 and 10.
8988890
Find the common denominator of 17/377235 and -19/3636.
1508940
Find the common denominator of 99/4 and -67/151299.
605196
What is the least common multiple of 504 and 37320?
783720
Calculate the lowest common multiple of 1276 and 154.
8932
What is the common denominator of -59/21152 and -23/84608?
84608
What is the common denominator of -1/175473 and -76/5427?
526419
Calculate the least common multiple of 3057 and 105976.
317928
Calculate the least common multiple of 118736 and 72.
1068624
Calculate the least common multiple of 1131 and 9399.
272571
Find the common denominator of 51/185 and -83/6860.
253820
Calculate the lowest common multiple of 1752 and 10680.
779640
What is the smallest common multiple of 844 and 292?
61612
Calculate the smallest common multiple of 679 and 71683.
501781
Calculate the least common multiple of 60 and 30820.
92460
Calculate the smallest common multiple of 285908 and 126.
2573172
Find the common denominator of 85/24 and 43/7029.
56232
Calculate the smallest common multiple of 64812 and 11784.
129624
Calculate the common denominator of 25/702 and -47/214578.
643734
What is the smallest common multiple of 216 and 9612?
19224
What is the lowest common multiple of 323 and 2346?
44574
Calculate the common denominator of 119/108000 and -32/8775.
1404000
What is the smallest common multiple of 20500 and 2050?
20500
What is the common denominator of 99/1778 and 25/112522?
787654
Calculate the smallest common multiple of 598 and 23920.
23920
What is the common denominator of -43/539371 and 67/464?
8629936
Calculate the smallest common multiple of 3575 and 5225.
67925
Find the common denominator of 59/108 and 4/258831.
3105972
What is the common denominator of -97/1056 and -43/6864?
13728
Calculate the common denominator of 179/7110 and -74/43371.
433710
What is the lowest common multiple of 317408 and 96?
952224
What is the common denominator of -29/198 and -65/3888?
42768
Calculate the common denominator of 20/2901 and -73/480.
464160
What is the common denominator of -1/157824 and -25/167688?
2683008
Calculate the smallest common multiple of 519 and 17385.
3007605
Find the common denominator of -97/8 and 77/48436.
96872
What is the common denominator of -58/606711 and 24/77?
6673821
What is the common denominator of -73/25792 and 41/51584?
51584
Calculate the common denominator of 23/646 and -85/8.
2584
Calculate the common denominator of 53/22968 and -103/1276.
22968
Calculate the smallest common multiple of 154 and 32459.
714098
Find the common denominator of -37/578616 and -79/867924.
1735848
What is the lowest common multiple of 351725 and 112552?
2813800
Calculate the lowest common multiple of 12324 and 4740.
61620
Calculate the common denominator of -91/6 and -53/224528.
673584
Calculate the smallest common multiple of 1272 and 2544.
2544
What is the least common multiple of 5436 and 5?
27180
What is the least common multiple of 17847 and 24?
142776
Find the common denominator of -85/4788 and 73/63.
4788
What is the lowest common multiple of 99363 and 3?
99363
Calculate the lowest common multiple of 324441 and 7.
2271087
What is the smallest common multiple of 16156 and 924?
533148
Calculate the lowest common multiple of 72852 and 28020.
364260
Calculate the common denominator of 73/33 and -29/825.
825
Calculate the common denominator of 115/252 and 79/7722.
108108
What is the common denominator of 13/12 and 149/1214808?
1214808
What is the common denominator of -57/17066 and -109/12190?
85330
What is the common denominator of -101/5592 and -79/1834?
5127864
What is the common denominator of -49/20730 and -173/20730?
20730
Calculate the smallest common multiple of 2 and 211.
422
Calculate the common denominator of 101/63462 and 2/7555.
317310
What is the lowest common multiple of 3751 and 217?
26257
Calculate the common denominator of -157/114720 and 179/43020.
344160
What is the common denominator of 91/10896 and 45/14528?
43584
What is the smallest common multiple of 65192 and 34?
1108264
Calculate the lowest common multiple of 100 and 500.
500
Find the common denominator of 93/3036944 and -85/32.
6073888
Calculate the least common multiple of 25782 and 36.
154692
Calculate the common denominator of -8/81 and -82/9735.
262845
What is the lowest common multiple of 9296 and 24?
27888
Find the common denominator of -13/141 and -13/12426.
584022
Calculate the common denominator of 13/209 and 41/253.
4807
Calculate the common denominator of -47/226824 and 37/13086.
680472
Calculate the common denominator of -37/26841 and 38/3.
26841
Calculate the smallest common multiple of 2163 and 120716.
2535036
What is the common denominator of -95/5828 and 61/20?
29140
Calculate the common denominator of 67/245888 and 3/245888.
245888
Find the common denominator of 41/8 and -27/285761.
2286088
What is the smallest common multiple of 532485 and 177495?
532485
Calculate the smallest common multiple of 7070 and 1750.
176750
What is the least common multiple of 336064 and 704?
3696704
Find the common denominator of -23/20088 and 41/372.
20088
Calculate the smallest common multiple of 1320 and 704.
10560
Calculate the common denominator of -35/6 and 56/131079.
262158
Find the common denominator of 77/36900 and 109/900.
36900
Calculate the common denominator of 17/8 and -49/182648.
182648
Calculate the common denominator of -16/13 and 36/10451.
135863
What is the lowest common multiple of 401849 and 114814?
803698
Calculate the common denominator of 11/9642 and 39/23.
221766
Calculate the lowest common multiple of 12112 and 18.
109008
What is the least common multiple of 17304 and 1554?
640248
Calculate the lowe | {
"pile_set_name": "DM Mathematics"
} |
*4/3 - 4*d. What is k(c(p))?
4*p**2
Let o(k) = -k. Let l(p) = 24*p + 9. Let r(m) = m + 1. Let i(w) = -l(w) + 9*r(w). Calculate i(o(h)).
15*h
Let a(z) = -2*z. Let u(j) be the third derivative of -3*j**2 + 0*j**3 - 1/24*j**4 + 0*j + 0. Determine u(a(k)).
2*k
Let j(z) = -3*z**2. Let k be (-2)/(6/(-9)) + 2. Let c(y) = -y - k*y + 5*y. Calculate c(j(p)).
3*p**2
Let u(i) = -i. Let d(z) = -14*z**2 - 9*z + 9. Let c(q) = -q**2 - q + 1. Let n(f) = 18*c(f) - 2*d(f). What is u(n(l))?
-10*l**2
Let w(f) = 1. Let a(g) = 2*g - 11. Let k(o) = -2*a(o) - 22*w(o). Let h(u) be the third derivative of -u**4/12 - 2*u**2. Give h(k(l)).
8*l
Let h(o) = -21*o. Suppose -108 = -6*z - 36. Let u(k) = -k. Suppose -4 = 3*f + f. Let m(r) = f*h(r) + z*u(r). Let y(a) = -a. What is m(y(i))?
-9*i
Let f(n) = -7*n**2 - 2*n. Let b(q) = q**2 + 12*q + 6. Let g(p) = -p**2 - 10*p - 5. Let l(m) = -5*b(m) - 6*g(m). What is l(f(k))?
49*k**4 + 28*k**3 + 4*k**2
Let p(o) = -2 + 2*o + 2. Let l(x) be the first derivative of 3*x**2/2 - 19. What is l(p(m))?
6*m
Let w(v) be the second derivative of v**4/12 - 6*v. Suppose 3 = -u + 5. Let p(d) = d**2 - 4*d**2 + d**u. What is p(w(j))?
-2*j**4
Let i(a) be the first derivative of a**3 - 12. Let j(v) = -v. Determine j(i(h)).
-3*h**2
Let f(t) be the third derivative of -t**4/24 + 2*t**2. Let b(d) = -2*d**2. Determine b(f(o)).
-2*o**2
Let k(q) = 4*q**2. Let a(t) = 51 - 30 - 21 - 2*t. Determine k(a(o)).
16*o**2
Let q(r) be the third derivative of r**4/12 + 5*r**2. Let h(b) = -8*b**2. Give h(q(v)).
-32*v**2
Let k(l) = 3*l**2 - 2*l - 2. Let f(h) = 4*h**2 - 3*h - 3. Let o(q) = -2*f(q) + 3*k(q). Let v(a) = -28*a. Determine o(v(c)).
784*c**2
Let o(m) = -10*m**2. Let z(q) = 9*q - 3. What is z(o(c))?
-90*c**2 - 3
Let v(s) = -s + 1. Let d(c) = -3*c + 4. Let u = 3 + -7. Let k(a) = u*v(a) + d(a). Let j(r) = -4*r**2. Calculate k(j(z)).
-4*z**2
Suppose z + 15 = 4*v, z - 13 = -5*v + 8. Let g(d) = -d + 4*d - v*d + 0*d. Let i(q) = -3*q. What is i(g(x))?
3*x
Let d(v) = -2*v. Let u(j) = -12*j**2 - 3. What is u(d(a))?
-48*a**2 - 3
Let i(s) be the first derivative of -7*s**2/2 - 3. Let j(f) = 2*f**2. Determine j(i(k)).
98*k**2
Let x(l) = 42*l. Let d(w) = 32*w. Give x(d(j)).
1344*j
Let z(x) = x**2. Let v(g) = -9*g**2 - 7*g. Let i(l) be the third derivative of -l**5/60 - l**4/24 - l**2. Let j(f) = 14*i(f) - 2*v(f). Calculate j(z(s)).
4*s**4
Let b(i) = 7*i - 1. Let v(s) = -s - 1. Let l(g) = 2*b(g) - 2*v(g). Let k(o) = o. What is l(k(j))?
16*j
Let q(w) = 15*w - 25*w + 4*w. Let d(z) = z**2 + z. Let t(k) = 7*k**2 + 6*k. Let f(g) = 6*d(g) - t(g). What is q(f(v))?
6*v**2
Let g(a) be the third derivative of a**4/24 - a**2. Let r(v) = -2*v. Calculate r(g(i)).
-2*i
Let c(x) be the first derivative of -x**6/360 - x**3 - 3. Let s(m) be the third derivative of c(m). Let r(i) = 2*i. Give s(r(f)).
-4*f**2
Let l(x) = -2*x - 3. Let g(i) = 1. Let q(f) = -3*g(f) - l(f). Let s(a) = 5*a**2 - 7. Determine s(q(u)).
20*u**2 - 7
Let v(n) be the third derivative of n**5/15 - 44*n**2. Let t(k) = -5*k + 2*k + 0*k. Calculate v(t(x)).
36*x**2
Let t(g) = -10*g - 8*g + 16*g. Let x(s) = -2*s**2. Give x(t(p)).
-8*p**2
Let u(h) = 2*h - 5. Let f be u(4). Let q(b) = 3*b**2 - 2*b**2 - f*b**2 + b**2. Let z(j) = j**2 - 4*j + 4*j. Determine q(z(r)).
-r**4
Let p(n) = 47*n**2. Let w(o) = 2*o. Give p(w(z)).
188*z**2
Let r(t) = -2*t + 96. Let i(u) = 3*u. Give i(r(l)).
-6*l + 288
Let j(k) = -12*k**2. Let t(m) = -3*m - 2. Give t(j(f)).
36*f**2 - 2
Let n(s) = 3*s + 12. Let w(b) = 17*b**2. What is w(n(q))?
153*q**2 + 1224*q + 2448
Let u(t) = -36*t**2. Let k(x) = -13*x + 8*x + 2*x + 6*x. Calculate u(k(l)).
-324*l**2
Let a(k) = 585*k**2. Let b(x) = -2*x. Give a(b(t)).
2340*t**2
Let h(t) = 2*t. Let v = -4 + 8. Let i(g) = -g + g + v*g + g. Give h(i(s)).
10*s
Let o(t) be the third derivative of 0*t**4 - 1/30*t**5 - 2*t**2 + 0*t**3 + 0 + 0*t. Let a(l) = -3*l**2. Determine o(a(m)).
-18*m**4
Let z(p) = p**2 - 131. Let i(m) = -4*m. Determine z(i(u)).
16*u**2 - 131
Let w(f) = -28*f**2. Let r(d) = -d + 3*d + 4 - 4. Calculate r(w(z)).
-56*z**2
Let v(m) = 33*m**2. Let n(a) = -2*a. What is n(v(d))?
-66*d**2
Let b(o) = 2*o. Let i(k) be the first derivative of k**5/120 + 2*k**3/3 - 1. Let j(g) be the third derivative of i(g). Calculate b(j(r)).
2*r
Let j(d) = -58*d + 3*d**2 + 0*d**2 + 58*d. Let v(l) = 2*l + 0*l - l. Determine j(v(b)).
3*b**2
Let i(x) = -9*x**2 - 6*x - 6. Let c(v) = -9*v**2 - 5*v - 5. Let k(n) = -6*c(n) + 5*i(n). Let s(z) = -z**2. What is k(s(u))?
9*u**4
Let d(a) = -5*a + 4*a - 6*a. Let j(x) be the first derivative of 2*x**3/3 + 4. What is j(d(k))?
98*k**2
Let a(t) = 5*t**2 + 8*t. Let u(k) = -6*k**2 - 9*k. Let y(q) = 7*a(q) + 6*u(q). Let c be y(2). Let p(g) = -g + 0 + c. Let r(m) = -m. Determine r(p(n)).
n
Suppose -4*s + 7 = -c, -6*c + c + 45 = -4*s. Suppose -x + c = 5. Let b(f) = -3*f + x*f - 3*f. Let h(q) = 2*q. What is h(b(o))?
4*o
Let t(u) be the third derivative of -1/30*u**5 + 0 + 0*u**3 + 0*u**4 + 0*u - u**2. Let n(j) = 6*j - 1 + 1 + j. Give t(n(k)).
-98*k**2
Let u(l) be the second derivative of -l**3/3 - 35*l. Let r(o) = 3 - 3 + 3*o. What is u(r(w))?
-6*w
Let s(k) = -2*k**2. Let b(p) = 15*p**2 + 10*p**2 - 24*p**2. Calculate b(s(v)).
4*v**4
Let m(z) = -2*z**2 + 15*z. Let l(a) = -6*a. What is l(m(g))?
12*g**2 - 90*g
Let f(h) = -5*h**2. Let u(n) = -20*n**2. What is u(f(k))?
-500*k**4
Let a(b) = -9*b**2. Let d(w) = -7*w**2. Determine d(a(r)).
-567*r**4
Let p(g) = -1 + 8*g**2 - 1 + 2. Let u(b) be the third derivative of -b**5/30 + 10*b**2. Determine u(p(o)).
-128*o**4
Let k(y) = -y**2 - 10*y - 3. Let j be k(-6). Let z(h) = -4*h**2 + 21 - j. Let r(f) = 2*f**2. Determine r(z(d)).
32*d**4
Let r(m) = -6*m - 1. Let d be r(-1). Let z(p) = -4*p + d*p + 0*p. Let l(j) = 3*j. What is l(z(u))?
3*u
Let c(k) = -17*k + 3*k**2 + 17*k. Let z(p) = -p + 0*p - p - 4*p. What is z(c(w))?
-18*w**2
Let w(y) = -3*y**2 - 5. Let d(l) be the first derivative of 5*l**3/3 + 7*l - 3. Let g(p) = 5*d(p) + 7*w(p). Let v(u) = -u + 4*u - u. Calculate v(g(x)).
8*x**2
Let q(h) = -3*h - 2*h + h. Let c(b) = -b. Give c(q(w)).
4*w
Let j(b) = -399*b**2. Let h(w) = 25*w**2. Let r(d) = -95*h(d) - 6*j(d). Let o(q) = -2*q**2. Determine o(r(f)).
-722*f**4
Let j(a) = -4*a. Let m(h) = -4 + 0 + 0 + h. Let c be m(6). Let s(q) = -2*q + c*q - q. What is j(s(r))?
4*r
Let a(k) = -12*k. Let j(u) = 13*u. Let q(t) = -4*a(t) - 3*j(t). Let i(m) = -m. Calculate i(q(g)).
-9*g
Let v(h) = -110 + 2*h**2 + 110. Let o = 3 + -2. Let m(q) = -q**2 + 1. Let r(c) = -c**2 - 4. Let i(s) = o*r(s) + 4*m(s). What is i(v(l))?
-20*l**4
Suppose 0 = -3*w + 4 + 2, -z = 5*w - 12. Let l(d) = -d - z*d - 2*d. Let v(i) be the first derivative of -2*i**3/3 - 6. Give v(l(m)).
-50*m**2
Let b(c) = 5*c**2 - 4*c - 4. Let r(x) = 24*x**2 - 21*x - 21. Let s(n) = -21*b(n) + 4*r(n). Let m(w) = 2 - 2 - 7*w + 8*w. Determine s(m(q)).
-9*q**2
Let p(x) = x**2. Let n(l) = 2868*l**2. What is n(p(w))?
2868*w**4
Let k(l) be the second derivative of l**3/3 - 2*l. Let o(q) be the second derivative of q**3/3 - 3*q. What is o(k(h))?
4*h
Let b(i) be the third derivative of -i**5/12 - 17*i**2. Let j(o) = -10*o. Determine j(b(t)).
50*t**2
Let y(h) = -2*h**2. Let l(c) = -c**2 - 3*c. Give y(l(u)).
-2*u**4 - 12*u**3 - 18*u**2
Let g(w) = 4*w**2. Suppose 15 = 3*t - q - 2*q, 11 = t + 2*q. Let j(a) = -t*a - 10*a - 6*a + 18*a. Determine j(g(o)).
-20*o**2
Let v(w) = 5*w. Let q(j) = 8*j**2 + j + 22. Calculate q(v(l)).
200*l**2 + 5*l + 22
Let m(t) = 2*t + 10. Let f(a) = 10*a**2. What is m(f(w))?
20*w**2 + 10
Let q(n) be the third derivative of n**7/5040 + n**5/12 - n**2. Let j(h) be the third derivative of q(h). Let y(u) = -5*u. Determine j(y(t)).
-5*t
Let x(j) be the third derivative of j**5/30 - 63*j**2. Let s(g) = 21*g**2 + 3. What is x(s(p))?
882*p**4 + 252*p**2 + 18
Let n(b) = b. Let v(i) be the first derivative of 5 - 1/2*i**2 + 0*i. Determine v(n(t)).
-t
Let i(t) = 6*t. Let h(m) = m**2 - 2*m. Give i(h(u)).
6*u**2 - 12*u
Let p = 4 + -2. Let v(x) = x + 3 - p - 1. Let z(h) = -3*h. Calculate z(v(b)).
-3*b
Let i(l) be the third derivative of l**4/6 - 4*l**2. Suppose 0*m + 3 = 3*m. Let w(f) = -f + m - 1. What is i(w(h))?
-4*h
Let i(c) be the third derivative of c**4/24 - 9*c**2. Let h(m) = -3*m. Let r(u) = u. Let p(o) = -h(o) - 5*r(o). Det | {
"pile_set_name": "DM Mathematics"
} |
*r + 220*q - 4*r wrt q.
42*q - 56*r
Find the second derivative of c**2*m**3 - 18*c**2*m + 2*c*m - 57*m**3 wrt m.
6*c**2*m - 342*m
Find the first derivative of f*u**2 - 14*f*u - 1304*f - u wrt u.
2*f*u - 14*f - 1
What is the second derivative of -2*d**3*h**2 + 21*d**3 + 4*d**2*h**2 - 62*d*h**2 - 3*h**2 wrt d?
-12*d*h**2 + 126*d + 8*h**2
What is the second derivative of 4*k*z**3 - 3*k*z**2 + k*z - 4*k + 2*z**5 + 8*z wrt z?
24*k*z - 6*k + 40*z**3
Find the second derivative of l*y**3 + 11*l*y + 45*l + 302*y**3 wrt y.
6*l*y + 1812*y
Differentiate 215*y**3 + 180 with respect to y.
645*y**2
What is the third derivative of g**5 - 384*g**4 + 379*g**2?
60*g**2 - 9216*g
What is the second derivative of -4*u**4 + u**3 + 127*u**2 + 6*u + 952 wrt u?
-48*u**2 + 6*u + 254
Differentiate 2432*d**2 + 3983 with respect to d.
4864*d
What is the first derivative of -17*m**2*v*w + 2*m*v*w - 7*m*v + 360*v*w + 2*w wrt m?
-34*m*v*w + 2*v*w - 7*v
What is the first derivative of -384*l**3 + 313?
-1152*l**2
What is the second derivative of 6683*d**2 + 2507*d wrt d?
13366
What is the second derivative of 241*s**3 + 197*s?
1446*s
What is the third derivative of -23*f*i**3 + 2*f - 2*i**3 + 52*i**2 wrt i?
-138*f - 12
What is the third derivative of -2*n**6 + 122*n**5 - 4*n**3 - 18*n**2 + n - 60 wrt n?
-240*n**3 + 7320*n**2 - 24
What is the derivative of 2*n**3*v + 2317*n**2*v - 426*v - 3 wrt n?
6*n**2*v + 4634*n*v
Find the third derivative of 198*r**5*s**2 + 2*r**5 + 4*r**2 - 12*r*s**2 wrt r.
11880*r**2*s**2 + 120*r**2
Differentiate -7*l**2*t + 3*l**2 + 10*l*t + 4*l - 5*t + 1 wrt t.
-7*l**2 + 10*l - 5
What is the second derivative of -7*n*s**3*t**2 - 197*n*s**2*t**2 + 45*n*s**2*t + n*s*t + 2*s**3*t - 2 wrt t?
-14*n*s**3 - 394*n*s**2
Find the first derivative of 1249*d**3*f - 2279*d**3 wrt f.
1249*d**3
Find the first derivative of 255*g**4 - 230.
1020*g**3
Find the second derivative of 104*c*k**3 + 2*c*k - 15*c - k**5 + 5*k wrt k.
624*c*k - 20*k**3
What is the second derivative of -2*d**2*i**2 - 377*d**2*i*k + 17*d**2 - 2*d*i**4 - 274*i**3*k wrt i?
-4*d**2 - 24*d*i**2 - 1644*i*k
Find the third derivative of -5*b**5 + 2*b**4 - 9*b**2 - 2*b wrt b.
-300*b**2 + 48*b
What is the third derivative of -260*g**2*q**3 + 2*g**2 - g*q**3*z + 2*g*q**2 + 11*g + 2*q**3*z + 65*z wrt q?
-1560*g**2 - 6*g*z + 12*z
Find the second derivative of -6*h**4*l + 4*h**2*l**3*r + h**2*l*r - 2*h*l**3 + h*r + 2*l**2*r - 2 wrt h.
-72*h**2*l + 8*l**3*r + 2*l*r
What is the derivative of 27*m*s*u - 2*m*u**2 - m*u - 18*m + 2*s*u**2 + 5*s wrt s?
27*m*u + 2*u**2 + 5
Find the second derivative of -23*h**2*o*z**2 - 2*h**2*o + 4*h**2*z**2 - 2*h**2 - h*o*z + 201*o*z wrt z.
-46*h**2*o + 8*h**2
Find the second derivative of -231*a**2*b**5 - 179*a**2*b + b**5 wrt b.
-4620*a**2*b**3 + 20*b**3
Find the first derivative of -97*r**4*u**2 + 3*r**2*u**3 + 4*u**3 - 117 wrt r.
-388*r**3*u**2 + 6*r*u**3
Differentiate -43*c**2*n + 178*c**2 wrt n.
-43*c**2
Find the first derivative of 139*n**2*r**4 + 959*n**2 - 3*n*r**4 wrt r.
556*n**2*r**3 - 12*n*r**3
Differentiate j*y**4 + j + 112*y**4 - 1 wrt y.
4*j*y**3 + 448*y**3
What is the derivative of 3*l*w*z**2 - 83*l*w*z + w*z**2 - 17*w + 9*z**2 wrt l?
3*w*z**2 - 83*w*z
Differentiate -2*c**2 - 534*c + 285.
-4*c - 534
What is the first derivative of 68*x - 193?
68
Find the third derivative of -1536*d**5 - d**4 + 1194*d**2.
-92160*d**2 - 24*d
Find the second derivative of 1693*d**2*h*m - d**2*m + 2*d*h + 20*d*m - 58*d + h*m - 2*m wrt d.
3386*h*m - 2*m
What is the second derivative of 20*m**4*o + 35*m**3 + 2*m*o - 483*o wrt m?
240*m**2*o + 210*m
Find the third derivative of -1246*z**3 + 3*z**2 - 240*z wrt z.
-7476
What is the second derivative of 67*a**3*c**2 + a**3 - 3*a**2*c**2 + 101*a**2*c - 2*a*c wrt c?
134*a**3 - 6*a**2
Find the third derivative of -82*u**6 - u**4 + 157*u**2 wrt u.
-9840*u**3 - 24*u
What is the derivative of 6115*j*v - 3*v - 355 wrt j?
6115*v
Differentiate 4*h*i*l*t + 54*h*i*l - 9*h*i*t + h*i - 2*h*l + i*t with respect to t.
4*h*i*l - 9*h*i + i
What is the first derivative of -133*b*v**2 - 5*b + 2466*v**2 wrt b?
-133*v**2 - 5
Find the first derivative of -9*r**3 - 411*r**2 - 2326 wrt r.
-27*r**2 - 822*r
What is the third derivative of 1019*f**3*i**3 + 16*f**2*i**3 + 22*f**2 wrt f?
6114*i**3
Find the third derivative of -36*b*w**4 + 42*b*w - b + 3*w**4 + 2*w**2 wrt w.
-864*b*w + 72*w
Find the second derivative of i**2*q**5 + i**2*q**2 - 390*i**2*q + i*q**3 - i*q - i wrt q.
20*i**2*q**3 + 2*i**2 + 6*i*q
What is the second derivative of 86*b**3*v**2 + 2*b**2*v**2 - b*v**2 - 29*b + 2*v**2 wrt b?
516*b*v**2 + 4*v**2
Find the third derivative of a**3*n**3*r**3 + a**3*n**3 - 21*a**2*n**3*r**3 + a*n**3*r**2 + 2*n*r**2 - 10*n*r wrt r.
6*a**3*n**3 - 126*a**2*n**3
Differentiate 545*g**3*j*x - 8*j - 31*x wrt g.
1635*g**2*j*x
What is the derivative of -4656*s**2 - 342 wrt s?
-9312*s
What is the derivative of 9038*q - 5365 wrt q?
9038
What is the first derivative of 29*g**2*t*u**2 + 6920*g**2*t + 6*g*t*u + 13*u**2 wrt u?
58*g**2*t*u + 6*g*t + 26*u
Find the third derivative of 2*d**6*i - 532*d**4*i**3 - 560*d**2*i + d*i**3 wrt d.
240*d**3*i - 12768*d*i**3
What is the third derivative of -2*n**2*t**5 + 1522*n**2*t**3 + 34*n**2 + 12*t**2 wrt t?
-120*n**2*t**2 + 9132*n**2
Find the third derivative of 85*c**3*p*x - 56*c**3*p + c**2*p*x - c**2*x - 16*c*p + 57*p*x wrt c.
510*p*x - 336*p
What is the second derivative of 638*g**2*r**2 - 4*g**2*r - 145*g**2 wrt r?
1276*g**2
Find the second derivative of -34*d**2*h*x**5 + 3*d**2*h*x + 22*d**2*h + 3*d**2 + 18*h*x**2 + 2*x wrt x.
-680*d**2*h*x**3 + 36*h
What is the second derivative of 15*k**3 - 13*k**2 + 981*k?
90*k - 26
What is the derivative of 298*a**3*g - 464*a**3 - 2*a**2*g**3 - 2*a wrt g?
298*a**3 - 6*a**2*g**2
What is the first derivative of 6*g**4 - 28*g + 384?
24*g**3 - 28
What is the derivative of 2*q**3*r**2 + 77*q**3*r + 151*q**3 + 2*q**2 + 13*r wrt r?
4*q**3*r + 77*q**3 + 13
Find the second derivative of 296*l**2 - l - 2068.
592
What is the second derivative of -195*y**2 - 108*y?
-390
Find the second derivative of -16*h**4 + 11*h**2 + h + 62.
-192*h**2 + 22
Differentiate -6*c*j**2*s - 9*c*j**2 - 4*c*j*s + 63*c*j + c + j**2*s with respect to s.
-6*c*j**2 - 4*c*j + j**2
Find the third derivative of 270*h*i**3*x**2 - 2*h*i**2*x**2 + 2*i**3*x**3 + 2*i + 24*x**3 wrt i.
1620*h*x**2 + 12*x**3
What is the second derivative of 100*f**5 - 94*f?
2000*f**3
What is the third derivative of 179*h**5 + h**3 - 9600*h**2 wrt h?
10740*h**2 + 6
Differentiate -9*i*q**2 - i*q - 6235*i + 2*q**2 - 4*q wrt q.
-18*i*q - i + 4*q - 4
Find the second derivative of 2*n**2*y + 9*n**2 - n*y + 48*y wrt n.
4*y + 18
Differentiate 2*c*z**2 + 6*c - z**2 + 104*z - 2 with respect to z.
4*c*z - 2*z + 104
Find the second derivative of -2*m**2*t**2*x**2 + 33*m**2*t*x + m**2*x**2 + 21*m*t**2*x**2 - m*t*x - 2*m*t wrt t.
-4*m**2*x**2 + 42*m*x**2
What is the third derivative of -2*o**5 + 448*o**4*y**3 - 5*o**2*y**3 - 40*o*y**3 - 2*o*y wrt o?
-120*o**2 + 10752*o*y**3
Differentiate -14*o**2*v**4 - 179*o**2 - 2*o + 3*v**4 - 6*v**2 wrt v.
-56*o**2*v**3 + 12*v**3 - 12*v
Find the second derivative of -f**3*s**3 + 10970*f**3*s - 2177*f*s**4 wrt s.
-6*f**3*s - 26124*f*s**2
What is the second derivative of -71*b**3*t*w**2 - 2*b**3*t - 2*b**3*w + 2*b*t*w - b*w**2 wrt w?
-142*b**3*t - 2*b
What is the third derivative of -238*b**6*q + b**4*q**3 + 57*b**2*q**3 - 3*b**2*q wrt b?
-28560*b**3*q + 24*b*q**3
Find the first derivative of -276*q - 915.
-276
Find the first derivative of -100*i**3 - 10*i + 3849 wrt i.
-300*i**2 - 10
Find the third derivative of n*y**4 + 2*n*y**3 - 4*n*y - 20*n + 88*y**5 + 7*y**2 wrt y.
24*n*y + 12*n + 5280*y**2
Differentiate -2*c**3*d*p - c**2*d - 2*c**2 - c*p + 61*d*p + 2 wrt c.
-6*c**2*d*p - 2*c*d - 4*c - p
What is the derivative of 7*r*z**4 - r*z**2 - 74*r*z - r - 1105 wrt z?
28*r*z**3 - 2*r*z - 74*r
What is the second derivative of -2*b**2*f**2*x**2 + 4*b**2*f*x - 16*f**2*x**2 + 5*f*x**2 - 3 wrt f?
-4*b**2*x**2 - 32*x**2
Find the third derivative of -2693*k**3 + 4352*k**2 wrt k.
-16158
Find the second derivative of 437*i**3 - i + 8 wrt i.
2622*i
Find the second derivative of 3*k**4 - 58*k**3 - 27*k + 1.
36*k**2 - 348*k
Find the third derivative of 16820*f | {
"pile_set_name": "DM Mathematics"
} |
*p**3 - k*p**2 + 1495*k + 6*p wrt p.
-6*k*p**2 - 2*k*p + 6
Find the third derivative of -1942*g**5 + 3019*g**2.
-116520*g**2
What is the derivative of 883*w - 1003?
883
What is the first derivative of 10*c**3*n**2*o + c**3 - 585*c**2*n**2 - 2*c*o - 20*n**2*o wrt o?
10*c**3*n**2 - 2*c - 20*n**2
What is the first derivative of -883*u + 95?
-883
Find the second derivative of 6171*g**3 + 299*g wrt g.
37026*g
What is the second derivative of -4*i**3 + 39*i**2 - 442*i?
-24*i + 78
Find the third derivative of -2*d**4 - 26*d**3 - d**2 - 4.
-48*d - 156
Find the second derivative of 1522*o**3 + 2*o**2 + 7*o + 469 wrt o.
9132*o + 4
Find the second derivative of 233*b*t**5 + 2*b*t**2 + b*t - 1546*b + t**5 wrt t.
4660*b*t**3 + 4*b + 20*t**3
What is the first derivative of -10*c*p**2*z**3 - c*p**2 + 3*c*t + 5*p**2*t*z**3 - 4*p**2 - 8 wrt c?
-10*p**2*z**3 - p**2 + 3*t
Find the third derivative of -57*g*j**2*n**3*u - 2*g*j**2*n**2*u - g*n**3 - 2*j**2*n**2*u + 2*j*n**2 + 3*j*u wrt n.
-342*g*j**2*u - 6*g
Differentiate n**3*r + 19*n**3 + 11*n**2*r**2 wrt r.
n**3 + 22*n**2*r
What is the second derivative of -2*l**2*r*v + 44*l**2*v**2 - l*r**2*v**2 + l*r**2*v + 2*l*r*v*z + 2*l*r*v - 4*l*v*z + 2*r*v*z + 3*v**2*z wrt v?
88*l**2 - 2*l*r**2 + 6*z
What is the derivative of 345*m**3 + 2*m**2 - 375?
1035*m**2 + 4*m
Find the second derivative of -390*g*o**2 - 1716*g*o wrt o.
-780*g
Find the second derivative of -129*i**2 - 97*i wrt i.
-258
Find the third derivative of 2*p**5 + 2*p**4 + 255*p**3 - 7751*p**2 wrt p.
120*p**2 + 48*p + 1530
Find the third derivative of 51*a*k*v**3 + a*v**3 + 106*a*v**2 - 2*k*v**3 - k*v**2 + 2*k*v wrt v.
306*a*k + 6*a - 12*k
Differentiate 28*b*f*h + 3*b*f - 2*b*h + 2*h - 3 with respect to f.
28*b*h + 3*b
What is the third derivative of -13720*s**3 - 1267*s**2 + 3 wrt s?
-82320
Find the third derivative of 4*o**5 - 41*o**4 + 164*o**2.
240*o**2 - 984*o
Find the third derivative of 186*o**4 - 5*o**3 - 20*o**2 - 10*o - 6 wrt o.
4464*o - 30
Find the third derivative of b**3*j*r*v + 9*b**3*j*r - 3*b**3*r*v - 2*b**2*j*r*v - 217*b**2*j*r wrt b.
6*j*r*v + 54*j*r - 18*r*v
Differentiate p**3*u**2 + 21*p**3*u + 2608*p**3 + 12*p*u - p with respect to u.
2*p**3*u + 21*p**3 + 12*p
Find the second derivative of -a**5*b - 24*a**4 + 2*a**2*b - 131*a + b wrt a.
-20*a**3*b - 288*a**2 + 4*b
What is the second derivative of 3*a**2*i*r**2*x - 2*a**2*i*r*x + 12*a**2*i*r + 2*a**2*r - 2*a*r**2 - a*r*x - 42*i*r**2*x + 3*i*x wrt r?
6*a**2*i*x - 4*a - 84*i*x
Find the second derivative of 8*h**2*l*o + h**2*l - h**2 - 3*h*o - 5*h - 2*l*o wrt h.
16*l*o + 2*l - 2
What is the second derivative of -69*k**2*w**3 + 16*k*w - w**3 wrt k?
-138*w**3
Find the third derivative of -24*i**6 + 3*i**4 - 42*i**2 - 7*i.
-2880*i**3 + 72*i
Find the second derivative of 157*t**2*x**2 + 7*t**2*x + 2*t**2 - t*x**2 + 2*t + 750 wrt t.
314*x**2 + 14*x + 4
What is the third derivative of -3013*o**3 + 2*o**2 + 3*o - 4?
-18078
Find the second derivative of 2*d**5*r*u + 2*d**5*r - 17*d**2 + d*r*u + 215*d*u + r wrt d.
40*d**3*r*u + 40*d**3*r - 34
What is the derivative of a*r**3 - 125*a*r + 278*r**3 wrt a?
r**3 - 125*r
Find the second derivative of -80*g**3*r**5 + 6*g**3*r - 3*g**2*r + 2*g*r**5 + 5*r wrt r.
-1600*g**3*r**3 + 40*g*r**3
What is the second derivative of -5427*f**2*g**3 - 5*f*g**3 + 1082*f*g wrt f?
-10854*g**3
Find the second derivative of 2*y**4 - 58*y**2 - 2*y - 141.
24*y**2 - 116
Differentiate 13*i*q**2 + 4*i*q - 8747*i - 5*q**2 with respect to q.
26*i*q + 4*i - 10*q
Find the second derivative of -i**3*l - 2030*i**2*l + 24*i*l - 2*l + 6 wrt i.
-6*i*l - 4060*l
Differentiate -2*c*l*w - 7*c*l - l*w + 2*l - 212*w + 8 with respect to w.
-2*c*l - l - 212
Differentiate 1850*i*u**2 + 3*i*u - i + 16435*u**2 wrt i.
1850*u**2 + 3*u - 1
Find the third derivative of 161*o**3*s**2 - 3*o**3*s - 2*o**2 - 19*s**2 - 3*s wrt o.
966*s**2 - 18*s
Differentiate -3*c**3*n*p*z + 3*c**3*n*p + 13*c**2*n*p*z + 2*c**2*n*p + 144*c*n*p wrt z.
-3*c**3*n*p + 13*c**2*n*p
What is the derivative of 1144*k**2 + 6428?
2288*k
Find the second derivative of 21*h**2*k**3 + h**2*k + 20*h*k - k**5 wrt k.
126*h**2*k - 20*k**3
What is the second derivative of 5*h**4*x - h**4 + 22*h**3 + 16*h + 7*x - 1 wrt h?
60*h**2*x - 12*h**2 + 132*h
Find the third derivative of -55*k*r**4 - 3*k*r**2 + r**4 - 3*r**2 wrt r.
-1320*k*r + 24*r
What is the third derivative of 1043*h**6*i - h**2*i - 62*i wrt h?
125160*h**3*i
What is the second derivative of 3*q**5 + 133*q**3 - q + 206?
60*q**3 + 798*q
What is the third derivative of -15*g**6 - g**2 - 85*g?
-1800*g**3
Find the third derivative of -13*a**6 + 9*a**3*b**3 - a**2*b + 4*b**3 + 113 wrt a.
-1560*a**3 + 54*b**3
What is the first derivative of 65*v**3 - 324?
195*v**2
What is the second derivative of 11*i**3*k**2*v + 4*i**3*k*v + 2*i**3*v + 2*i*k*v**2 + 13*i*k*v + 203*k**2*v**2 - 41*k*v**2 wrt k?
22*i**3*v + 406*v**2
What is the derivative of -458*l**3 + l + 1568?
-1374*l**2 + 1
Find the second derivative of -65*i**2*q**2 + 2*i**2 + 4*i*q**3 - 2*i*q**2 + 912*i*q wrt q.
-130*i**2 + 24*i*q - 4*i
Differentiate 62*g*i + 100*i with respect to g.
62*i
What is the first derivative of 388*o*u + 935*o wrt u?
388*o
Differentiate 3*d**2*h - 3*d**2 + 2*d*h - 2089*h with respect to d.
6*d*h - 6*d + 2*h
Differentiate 2*h**2*t + 1406*h*t**3 + 6*t**3 + 5 with respect to h.
4*h*t + 1406*t**3
Find the third derivative of -82*j**2*x**5 - 14*j**2*x - 5*j*x**2 - j - 2*x**5 wrt x.
-4920*j**2*x**2 - 120*x**2
Differentiate -275*p**2*s - p*s + 2524*s with respect to p.
-550*p*s - s
What is the third derivative of 7231*k**4 - k**2 + 559?
173544*k
Find the third derivative of -p**2*x**4 - 3*p**2*x**3 + 3*p**2*x**2 - 20*p**2 - 14*x**4 wrt x.
-24*p**2*x - 18*p**2 - 336*x
Find the third derivative of 3*q**5 - 14*q**4 + 12*q**3 - 2577*q**2 wrt q.
180*q**2 - 336*q + 72
What is the first derivative of 140*g**3 - 3*g + 2105?
420*g**2 - 3
What is the derivative of -169*p**4 - p**3 - 1885?
-676*p**3 - 3*p**2
What is the second derivative of -11*o**3 - 6*o**2 - 115*o wrt o?
-66*o - 12
What is the third derivative of -11315*j**6 - 8335*j**2 wrt j?
-1357800*j**3
Find the third derivative of -f**5*o + 353*f**4*o**2 + 3*f**3 - 2*f**2*o**2 + 15*f**2*o + 20*f*o**2 - 2 wrt f.
-60*f**2*o + 8472*f*o**2 + 18
What is the third derivative of 2*n**3*p**2*z**3 + 337*n**3*p**2 - 6*n**2*p*z**3 + n**2*z**3 - n*p**2*z - 2*n*p*z wrt n?
12*p**2*z**3 + 2022*p**2
Differentiate -d**3*h*j**2*l - d**3*h + d**3*j**2*l + 5*d**3*j - 7*d**2*h*l + 16*d*l - j**2 wrt h.
-d**3*j**2*l - d**3 - 7*d**2*l
Find the third derivative of -2107*b**3 - 5747*b**2.
-12642
Find the second derivative of -3*l**2*y**2 - 16*l**2*y + 134*l*y**2 - 4*l wrt l.
-6*y**2 - 32*y
Find the first derivative of -3*i**2*w**2 + 20*i**2*w - 152*i**2 + i*w**2 + 2 wrt w.
-6*i**2*w + 20*i**2 + 2*i*w
Find the second derivative of -6331*a**3 - 10*a + 123.
-37986*a
What is the third derivative of 31*r**3 + r**2 + 44?
186
What is the first derivative of 3*f**2*m**2 + 4*f**2*m*p + 2*f*m**3 + 9*f*m*p + 3*f*m - m**3*p wrt p?
4*f**2*m + 9*f*m - m**3
What is the derivative of -2*n**3*u**2 - 883*n**3 - 21266*u**4 wrt u?
-4*n**3*u - 85064*u**3
Find the third derivative of 2*d**2*i**4 - 161*d**2*i**2 - 2*d**2 + 2*d*i**4 + 3*d*i**2 - i**5 wrt i.
48*d**2*i + 48*d*i - 60*i**2
Differentiate 32*a*t**2 + 456*a - 17*t**2 + 2 wrt t.
64*a*t - 34*t
What is the third derivative of -u**4 + 1990*u**3 + 2774*u**2 wrt u?
-24*u + 11940
Find the third derivative of 18*a**2*f*p**3 + 34*a**2*f*u - a**2*f - 6*a**2*p**3 - 2*a**2*p - 3*a*f*p**2 - 2*f*p**2 - 2*p**3*u wrt p.
108*a**2*f - 36*a**2 - 12*u
What is the third derivative of 426*j**3 - 106*j**2 - 3?
2556
What is the first derivative of 133*m - 94 wrt m?
133
Find the first derivative of 5*x**4 - 18*x**3*y**2 + 412*y**2 wrt x.
20*x**3 - 54*x**2*y**2
Find the second derivative of -2*q*t**2*y**3 + 43*q*t*y - 2*q*y**3 + 2*t**2*y**3 + 35*t**2*y**2 + 8*t*y**2 wrt t.
-4*q*y**3 + 4*y**3 + 70*y**2
What is the third derivative of -2*q*t**5 + 282*q*t**4 + 3*q*t**2 - t**2 + 3 wrt t?
-120*q*t**2 + 6768*q*t
Differentiate 7*m**4*y + m**2*y - 36*y + 4 wrt m.
28*m**3*y + 2*m*y
What is the third derivative of -4*c**2*k - 31*c**2*n**3 - c*k*n**4 + 4*c*k*n**2 - 2*c*n**4 + n**2 wrt n?
-186*c**2 | {
"pile_set_name": "DM Mathematics"
} |
-43/76. Which is the nearest to w? (a) o (b) 0 (c) p
b
Let g be (-8)/28*(-15 + 13). Which is the nearest to g? (a) 376 (b) 3 (c) 0.1
c
Let i = -5.98 - 0.02. Let s = -5 - i. Let h = 137.9 - 140.9. What is the nearest to 2/7 in 1/2, s, h?
1/2
Let t = 368.5 + 152.5. Let o = t + -519. Let s = -0.3 - -0.8. Which is the closest to 0.2? (a) o (b) s (c) 0
c
Let l be (-2)/(6/63) - 3. Let t(u) = -4*u - 97. Let h be t(l). Which is the nearest to 1/4? (a) 0 (b) h (c) 8
a
Let h = -7427/4 - -1857. What is the nearest to 0 in 12/5, h, -17?
h
Let b be ((-2)/(-3))/(8/24)*2. Suppose -12 = -b*t + 7*t, -5*c - 2*t = -27. Let o be (-432)/(-924) - 2/c. What is the closest to 0.1 in 2/5, o, 5?
o
Let c = 2 - 2.4. Let l = 210886.8 + -210887. What is the closest to c in 0.5, 5, l?
l
Let d be (-6)/((-5)/15*(-18)/21). Let p be (2/6)/(d/(-63)). Let j = -0.065 + -0.035. Which is the nearest to j? (a) -2 (b) 2 (c) p
c
Let f = -1.336289 + 2.336289. Let k = -7 - -7.06. Let j = 0.24 + k. Which is the nearest to f? (a) 7 (b) -1 (c) j
c
Let p = 17 - 121/7. Let f = -94 - -95. Let h be (-3 - (-48)/28) + f. Which is the closest to h? (a) 2 (b) -2/3 (c) p
c
Let l be ((4/10)/((-90)/50))/((-4)/(-6)). Which is the closest to -4? (a) -2 (b) 0.24 (c) l
a
Suppose -x + 4*x = -51. Let p(i) = -14*i + 133. Let q be p(9). Let y be 7 + (-575)/40 + q. What is the closest to x in 0.1, 0, y?
y
Let a = 14 - 13.7. Suppose 0 = 5*k - 5*v + 445, -148 = 2*k - 0*v + 4*v. Let h be 17/(-5) - (k/4)/7. What is the closest to a in -1/4, -1, h?
-1/4
Let k = 194 - 192. Let o = -149/6 - -25. Let n = 67 - 70. Which is the nearest to o? (a) k (b) n (c) 5
a
Let o = 0.1036 - 135.5036. Let q = -135 - o. What is the nearest to 0.07 in 1/11, 2, q?
1/11
Let s = -22.82 + 22.72. What is the closest to -0.2 in s, -5, 0, 0.4?
s
Let m = 1201 - 1779. Let y = -574 - m. What is the nearest to 0.1 in 1, -3, 2/3, y?
2/3
Let h = 194 - 130. Let r = h + -54. What is the nearest to 1 in 1, -3/5, r?
1
Let d = 35737 + -35718. What is the nearest to 0.4 in -0.2, 2, -0.3, d?
-0.2
Let g = -222 + 181. Let t = 45 + g. Let d = -0.2 - -0.3. What is the closest to 0 in t, 0.2, d?
d
Let k = -2014.73 + 2023.73. Let l = 722/7 + -103. Which is the closest to -0.1? (a) k (b) 0.1 (c) 2 (d) l
b
Suppose -5*c + 3*y = -25, 5*y = -20*c + 23*c - 15. Suppose 0 = 4*m + d + 17, 5*m - c*d = -0*m - 40. What is the nearest to -1.1 in m, -3/7, 1/5?
-3/7
Let v = -27 + 26. Let i = 75 - 74. Let x = 0.4 - 1.4. Which is the closest to x? (a) i (b) v (c) 1/5
b
Let z = -19829.2 - -19829. What is the closest to 0.7 in z, -2, 4, -0.5?
z
Suppose -3*a + 530 = -8*a. Let j = 528/5 + a. Let y = 34339.4 + -34334.4. What is the closest to -8 in -1/10, j, y?
j
Let r = -20.37 + 1.87. Let j = r + 18.5. Which is the nearest to 1/3? (a) -4/5 (b) -5 (c) j
c
Let b = -37/5 + 301/40. Let d = 0 + b. Let y = -642874/13 - -49452. What is the nearest to 2 in d, -0.2, y?
y
Let w = 114 + -108. Suppose w*o = 11*o + 50. Let u be 12/o*(-7)/(-84)*-4. Which is the closest to 2? (a) -5 (b) u (c) -1/4
b
Let d = -3.9667 - 0.0333. What is the nearest to 1 in d, 1/77, -0.1?
1/77
Let p be 1*(-7)/(21/3). Let i(q) = -5*q**3 + 2*q**2 + 2*q. Let v be i(p). Which is the closest to 0.1? (a) v (b) -0.4 (c) 1
b
Let f be (-1 + 0)*(2 - -3). Let c = -26/35 - -36/7. Let j = c + f. What is the closest to 1/3 in j, 3/4, -3?
3/4
Let s(f) = 22*f - 165. Let v(p) = -10*p + 82. Let a(c) = -3*s(c) - 7*v(c). Let o be a(21). What is the nearest to -2 in -2, 3, o?
-2
Let u = 1.66 - 4.66. Let g = -1.2 - -2.2. What is the closest to g in -7, u, 4?
4
Let v = -392.5 + 392.3. Which is the nearest to 1? (a) -5 (b) -2/13 (c) v (d) 2/15
d
Let f be -13 + (11 - (-72)/54). What is the nearest to 3/8 in -4, 2, f?
f
Let p = 796 - 799. Which is the closest to 2/5? (a) -186 (b) -0.5 (c) p
b
Let d = -0.8 + 2.8. Let c = d + 1. Let u = -1456 - -1456.1. What is the closest to u in c, -1, 1?
1
Let m = -488 + 458. Let x be (124/36 + -4)/(m/36). What is the nearest to 1 in x, -2/41, 5?
x
Let u be ((-4)/1)/(-4) + 9/(-15). Let g = -8598 + 8600. Suppose 2*k = -3*v - 9, k + 5*v - 15 = -37. What is the nearest to u in k, -0.2, g?
-0.2
Suppose -p + 3 = -3*r, 1 = -4*r - 3. Let u = 238.9 + -254.9. Which is the closest to 0? (a) u (b) 2 (c) p
c
Let m = 0.1529 - -0.0798. Let g = m + -48.2827. Let j = 48 + g. Which is the nearest to j? (a) -4 (b) 3/2 (c) -1/5
c
Let d(l) = 9*l - 101. Let z be d(11). Suppose -24*p - 7 = -17*p. Which is the nearest to -28? (a) z (b) 2/9 (c) p
a
Let t = 0.041 + -0.241. Suppose 2*f - d + 13 = 0, 3*f - 6*f = -5*d + 37. Let g = -0.39 - -0.4. Which is the closest to g? (a) t (b) f (c) 0.1
c
Let x = 520.6 + -518.6. What is the closest to 21 in -1/3, 1/3, x, 0.5?
x
Let m = -50.901 + -0.099. Let y = 52.1 + m. Let c = 1 - 0.9. What is the closest to c in 1, y, 1/3?
1/3
Let h be 7/(-91) - (-528)/104. Suppose 5*b = t - 5, -4 = 3*t - h*t + 4*b. What is the closest to 0.1 in -1, t, 4?
t
Let r = -0.1 + -0.1. Let b = -407.53 + 407.63. Let d = 4.1 - 0.1. What is the nearest to b in r, -0.9, d?
r
Let x = 1139/7 - 163. Let w = 356.8 - 356.6. What is the nearest to x in -0.4, 5, w, -0.5?
-0.4
Let p = 407.88 - 407.94. What is the closest to -2/7 in -4, 0, p, -29?
p
Let n = -4069 - -4066. What is the nearest to -0.1 in n, 5, 0.14, -1?
0.14
Let m be (9/297)/(6/(-36)). Let n be (-6)/((-42)/(4 + -2)). What is the closest to 2 in n, 9, -3/5, m?
n
Let u = 3/166 + -395/3486. Let h be (-1)/(-3*(-1)/6). Let z(l) = l**3 + 2*l**2 - 5*l - 2. Let i be z(-3). Which is the closest to h? (a) u (b) i (c) -0.1
c
Let x be (-2)/(-6)*45/10. Let s = 519 + -519.4. What is the nearest to -2/3 in x, -2, s, -3?
s
Let m = -9913 + 9910. What is the closest to -2/19 in 6, -6, m?
m
Suppose n = 1, -3*p - p - 26 = 2*n. Let g = 50 + -66. Let y be 3/2*32/g - -1. Which is the nearest to -0.1? (a) -5 (b) p (c) y
c
Suppose w - 2*s = -2, 4*s + 22 = 5*w + 2*s. Suppose 4*f = 2*k + w, k + 0 = -f + 3. Which is the closest to 6? (a) 5 (b) f (c) 4/7 (d) -1/3
a
Let n be 3/((-108)/16 + 18/8). Which is the closest to 0.5? (a) 10 (b) -0.1 (c) n
b
Let m = 125 - 124. Suppose -5*s + m = 11. Let h be (-9)/63*s*(-4 - -1). Which is the nearest to -1? (a) -1 (b) 1 (c) h
a
Let c = 7 + -12. Let g = 877/63 - 99/7. Let n = -31.5 - -33.5. What is the nearest to n in c, 3/5, g?
3/5
Let z be ((-2)/(-6))/((-5)/(-2610)). Let h be 4*1/33 - (-58)/z. Which is the nearest to h? (a) -0.4 (b) 4 (c) -1/4
c
Suppose 5*d + 183*n - 187*n - 82 = 0, 0 = 5*d - 2*n - 76. What is the nearest to -0.1 in 0.2, 9, d?
0.2
Suppose 4*j = 5*c - 1487, 3*j + 1122 = -2*c - c. Let o = j - -376. What is the nearest to 2 in -5, o, -0.5?
o
Let u be ((-6)/(-105))/(1/(-5))*-4. What is the nearest to u in -0.1, 2, 4, -0.5?
2
Let i = 3.53 - 4.53. What is the closest to i in -5, 14, -0.3?
-0.3
Let b = 34.68 - 35. Let l = 22.68 - b. Let p = -28 + l. What is the nearest to -4 in p, -0.5, -4?
-4
Let b = 384.84 + -5.84. Let g = b + -379.06. What is the closest to g in 4, 1/2, 5?
1/2
Let p = -26 + 36. Suppose -4*z - 3*h - 55 = -0*h, h + 17 = -z. Which is the closest to 0.1? (a) p (b) 2/5 (c) 0 (d) z
c
Let f = -1.96 - 0.04. Let q = -437146 - -6994337/16. Which is the nearest to q? (a) f (b) 4 (c) -3
a
Let g = -73.9 - -51.9. What is the closest to -7 in g, -2/17, -17?
-2/17
Let b be 3/(-6) - (-393)/1022. Let w = 2/73 - b. Let j be 27/36*20*4/(-20). What is the closest to 2/3 in w, j, -5?
w
Let k = -0.25336 - -0.35336. Which is the closest to 2/29? (a) k (b) 0.3 (c) 4
a
Let z = 2.189 + -2.289. Which is the nearest to 0.1? (a) z (b) -4 (c) 1.994 (d) 2
a
Let x = 0.06206 + -1.06206. What is the closest to -41 in -3, x, 1/4, -2?
-3
Suppose 13*g = 1236 + 142. Let x = g + -107. Which is the nearest to x? (a) -2/11 (b) 0.5 (c) 42
a
Suppose 10 = 2*a + 5*v, 5*v + 108 - 133 = -3*a. What is the closest to 0 in -14, 0, a?
0
Let y = 67.9 + 127.1. Let h = y - 204. Let p = -1.9 + 2. Which is the nearest to p? (a) -1 (b) h (c) 5
a
Let u = 116 + -115.9. Let d = -45.7 + 46. Let q = d - -0.7. Which is the nearest to q? (a) u (b) -1 (c) 5
a
Suppose 33*k - 28*k + 915 = 0. Let u = 21307/4 + -144017/28. Let f = k + u. What is the nearest to 1 in f, 2/3, -2/9?
2/3
Suppos | {
"pile_set_name": "DM Mathematics"
} |
g + 514
Let i(k) = 182*k**2 - 371*k**2 + 13*k + 178*k**2. Let o(h) = -5*h**2 + 6*h. What is 6*i(q) - 13*o(q)?
-q**2
Let y(w) = w - 5. Suppose -2*z - 153 = -m, 0 = 2*z + m + 4 + 143. Let h = z - -72. Let v(c) = -3. Calculate h*y(x) + 5*v(x).
-3*x
Let i(h) = -3*h + 9. Let v(d) = -4*d + 10. Suppose -5*g - 10 = -4*j - 5, -g - 25 = 4*j. Let y be (-5 + -7)*(2 - (-5)/(-2)). Calculate g*v(c) + y*i(c).
2*c + 4
Let n(m) = 16*m**3 - 6*m**2 - 30*m - 15. Let h(c) = 3*c**3 + c**2 + 5*c + 1. Let z(a) = -6*h(a) - n(a). Let d(u) = -17*u**3 + 4. Calculate -5*d(r) + 2*z(r).
17*r**3 - 2
Let k(l) = -2*l**2 - 120*l - 7. Let w(o) = 7*o - 2. Give k(i) - 3*w(i).
-2*i**2 - 141*i - 1
Let d(c) = -30*c**3 - 84*c**2 + 242*c + 2. Let p(j) = 20*j**3 + 60*j**2 - 161*j - 1. Calculate -5*d(b) - 7*p(b).
10*b**3 - 83*b - 3
Let v(o) be the first derivative of -11*o**2/2 - 5*o - 7. Let s(w) = 27*w + 12. Let p(r) = -43*r - 289. Let q be p(-7). What is q*v(m) + 5*s(m)?
3*m
Let x(d) = 17*d**3 + d**2 + 579*d + 3. Let u(o) = 57*o**3 + 3*o**2 + 1738*o + 10. Determine 3*u(c) - 10*x(c).
c**3 - c**2 - 576*c
Let g(u) = -u**2 - u - 7. Let s(o) = -o - 6. Let a(w) = -w + 2. Let l be a(0). Suppose -3*c - 1 = -m, -2*c - 36 = 3*m - 6. Calculate c*s(f) + l*g(f).
-2*f**2 + f + 4
Let o(r) = -45*r + 18. Let s(h) = -13*h + 5. Let q = 32 + -50. Let n = 449349 + -449344. Give n*o(a) + q*s(a).
9*a
Let r(t) = -20*t**2 - 6*t - 393. Let m(j) = 53*j**2 + 15*j + 1178. Determine 3*m(n) + 8*r(n).
-n**2 - 3*n + 390
Let u(s) = -13*s**3 - 49*s**2 - 7*s - 7. Let n(w) = 12*w**3 + 42*w**2 + 7*w + 6. What is 7*n(k) + 6*u(k)?
6*k**3 + 7*k
Let z(r) = -8363 + 94*r**2 - 37*r**2 + 8*r - 44*r**2 + 8355. Let b(k) = k - 1. Determine -40*b(f) + 5*z(f).
65*f**2
Suppose 25*m + 15 = 24*m + 3*v, 4*m - v = -16. Let b(d) = 25*d - 2. Let y(t) = -50*t + 3. Determine m*y(h) - 5*b(h).
25*h + 1
Let d(k) = -15*k**2 - 707*k + 3. Let o(z) = 13*z**2 + 687*z - 2. Give 2*d(g) + 3*o(g).
9*g**2 + 647*g
Let v(f) = 1650*f - 121. Let h(i) be the third derivative of -55*i**4/24 + 2*i**3/3 - 1667*i**2. What is -121*h(j) - 4*v(j)?
55*j
Let a(f) = -f**3 - 3*f**2 - 3*f + 8. Let o(v) = -v**3 - 4*v**2 - 4*v + 8. Let i(b) = b**3 + 55*b**2 - 362*b - 20. Let m be i(6). What is m*a(k) - 3*o(k)?
-k**3 + 8
Let p(o) = 17*o**2 - 5*o - 6. Let j(v) = -52*v**2 + 17*v + 18. Let c(q) = 6*j(q) + 19*p(q). Let h(b) = -5*b**2 - 3*b + 3. Calculate -3*c(z) - 7*h(z).
2*z**2 - 3
Let q(w) = -19*w**3 + 13*w**2 + 7*w - 124. Let x(v) = 9*v**3 - 6*v**2 - 3*v + 62. Calculate -6*q(d) - 13*x(d).
-3*d**3 - 3*d - 62
Let u(i) be the second derivative of -i**3/6 + 17*i. Let r(c) be the second derivative of c**2 + 0 - 5/6*c**3 + 10*c. Give r(l) - 3*u(l).
-2*l + 2
Let v(a) = 16*a**3 + 3*a**2 + 3*a + 4. Let s(r) = -69*r**3 - 14*r**2 - 14*r - 17. Calculate 2*s(z) + 9*v(z).
6*z**3 - z**2 - z + 2
Let o(g) = -2*g**2 - 32*g - 5. Let z(t) = -t**2 - t - 1. Determine -o(h) + 3*z(h).
-h**2 + 29*h + 2
Let z(p) = p + 2. Let i = -763 + 765. Let k = -4 + 1. Let q(h) = 3 + 1 + 5 + h - 6. Give i*z(y) + k*q(y).
-y - 5
Let i(b) = -68*b + 58. Let q(s) = 142*s - 144. Determine -12*i(p) - 5*q(p).
106*p + 24
Suppose o + 0*o + 3*p + 12 = 0, 3*o = -p + 4. Let x(y) = 5 - 5 - 2006*y**2 - 3*y**o + 2007*y**2. Let n(g) = -4*g**3 + g**2. What is 6*n(m) - 7*x(m)?
-3*m**3 - m**2
Let i(f) = 2*f**3 - 4*f**2 + 1304. Let b(v) = -2*v**3 + 5*v**2 - 1306. Calculate -3*b(o) - 4*i(o).
-2*o**3 + o**2 - 1298
Let d(y) = 3*y - 24. Suppose 0 = -305*o + 204 + 4 + 97. Let g(m) = -m + 1. Give o*d(v) + 5*g(v).
-2*v - 19
Let t be (5/4)/(-23*(-44)/4048). Let v(a) = 4*a**3 - 7*a**2 + 5. Let c(m) = 3*m**3 - 7*m**2 + 4. What is t*c(x) - 4*v(x)?
-x**3 - 7*x**2
Let g(l) = -63*l**2 - 139*l - 200. Let r(b) = 18*b**2 + 39*b + 57. Let y(v) = 5*g(v) + 18*r(v). Let u(q) = -4*q**2 - 3*q - 13. What is -5*u(m) - 2*y(m)?
2*m**2 + m + 13
Let l(x) = x + 1 - 1. Let p(n) = 15*n - 1698. Let c(k) = -5*k + 606. Let f(i) = -14*c(i) - 5*p(i). What is f(o) + 4*l(o)?
-o + 6
Let t(c) = -1701*c - 147. Let r(f) = -44*f + 42. Let n(d) = -87*d + 107. Let l(y) = -2*n(y) + 5*r(y). What is -147*l(i) + 4*t(i)?
-42*i
Let n(k) = -4*k**3 + 3*k**2 + k + 2. Let c(g) = 3*g**3 - 2*g**2 - 2. Let i be ((-4070)/(-130))/11 + 10/65. Determine i*c(h) + 2*n(h).
h**3 + 2*h - 2
Let s(t) = 11*t**3 + 17*t**2 + t + 8. Let c(g) = 5*g**3 + 9*g**2 + g + 3. Give -5*c(i) + 2*s(i).
-3*i**3 - 11*i**2 - 3*i + 1
Let h(v) = 12*v. Let k(d) = 2*d + 1. Let y(b) = -28*b - 20. Suppose 24*u - 37*u - 520 = 0. Let o(q) = u*k(q) - 2*y(q). Determine 5*h(n) + 2*o(n).
12*n
Let b(i) = -125*i + 4631. Let a(w) = -229*w + 9261. What is 6*a(c) - 11*b(c)?
c + 4625
Let l(s) = 9*s - 2. Let v(c) = 10*c - 3. Let h(d) = -5*d**3 + 5*d**2 - 98*d + 95. Let u be h(1). Let z(y) = y - 3. Let r be z(5). Give r*v(m) + u*l(m).
-7*m
Suppose 144 = -2*v + 42*v - 4*v. Let b(d) = -11*d**2 - 4*d + 13. Let c(p) = 5*p**2 + 2*p - 6. Determine v*b(s) + 9*c(s).
s**2 + 2*s - 2
Let b(c) = -c**2 + 1. Let r(v) = -1 - 105*v**2 + 50*v**2 + 53*v**2 - v + 2*v + 0*v. What is -2*b(f) - r(f)?
4*f**2 - f - 1
Let y(b) = 2*b**3 + b**2 + 2*b + 1. Let l(c) = -1008*c**3 + 50*c**2 + 100*c + 50. Give -2*l(z) + 100*y(z).
2216*z**3
Let b(q) = 14*q**3 + 13*q**2 + 2*q + 1. Let u(n) = 17*n**3 + 16*n**2 + 3*n + 2. Calculate 3*b(t) - 2*u(t).
8*t**3 + 7*t**2 - 1
Let v(h) = -43*h**2. Let k(z) = -29*z**2 + 3667 - 3667. Determine 7*k(b) - 5*v(b).
12*b**2
Let p(y) = -3*y + 18. Let f(z) = z - 4. Let a(o) = -18*f(o) - 4*p(o). Let t(k) = 1 - 22*k + 28*k - 31*k. What is 9*a(j) - 2*t(j)?
-4*j - 2
Let v(w) = 350*w**2 - 1007*w**2 + 5 + 3*w + w**3 + 662*w**2. Let y(z) = -z**2 - 1. Calculate v(m) + 3*y(m).
m**3 + 2*m**2 + 3*m + 2
Let f(g) = -g**2 - g - 8. Let t(v) = 24*v**2 + 5*v + 37. Determine 20*f(o) + 4*t(o).
76*o**2 - 12
Suppose -2*a - 3*d = 11, -39 = -5*a + 2871*d - 2869*d. Let z(p) = -2*p**2 - p - 5. Let l(g) = -g**2 - g - 4. Calculate a*l(y) - 4*z(y).
3*y**2 - y
Let x(o) = -2*o + 6. Let u(m) = 6 - 6 + 3 + 2*m - 7 - 2. What is -2*u(l) - 3*x(l)?
2*l - 6
Let z(s) = 21*s**2 + 9*s - 8. Let r(f) = -19*f**2 - 8*f + 6. Give 7*r(t) + 6*z(t).
-7*t**2 - 2*t - 6
Let p(i) = 16*i**3. Let x(j) = 2*j**3 + j - 1. Let u(g) = -5*g**3 - 3*g + 3. Let m(w) = u(w) + 3*x(w). Give 8*m(l) - p(l).
-8*l**3
Let b(l) = 114*l - 16. Let y(q) = -53*q + 9. Determine -3*b(u) - 7*y(u).
29*u - 15
Let t(a) = -a**3 - a**2 - 7*a + 1. Let i(s) = 32*s**2 + 21*s + 30. What is i(j) + 3*t(j)?
-3*j**3 + 29*j**2 + 33
Let r(k) = -1773*k**2 - 6*k - 10. Let f(c) = -7092*c**2 - 27*c - 45. What is 2*f(u) - 9*r(u)?
1773*u**2
Let d(f) = f - 1. Let l = 184 - 186. Let r = -598 + 597. Let y(z) = 4*z**2 - 2*z + 1. What is l*d(n) + r*y(n)?
-4*n**2 + 1
Let w(n) = -33*n**2 + 5*n - 12. Let t(l) = 4*l**2 - l + 2. Let h(s) = -4*t(s) - w(s). Let b(c) = -50*c**2 + 3*c - 11. Determine -4*b(d) - 11*h(d).
13*d**2 - d
Let t(i) = -i**2 - 2*i. Let o(n) = 4*n - 16721 - 3*n + n**2 + 16720. Determine o(h) - t(h).
2*h**2 + 3*h - 1
Let n(p) = 5*p - 35. Let r = 100 - 98. Let k(a) = 54*a + 6. Let t be k(r). Let l = t + -108. Let g(f) = f - 6. Determine l*n(b) - 35*g(b).
-5*b
Suppose -3*b + 2 + 7 = 0. Suppose -48 = -i - b*i. Let d(g) = 11*g + 1. Let f(l) = -69*l - 5. Let n(m) = 5*d(m) + f(m). Let c(a) = -a. Calculate i*c(k) - n(k).
2*k
Let b(q) = 11*q**2 + q. Let g(r) = -35*r**2 - r - 5. Let z(s) = -3*b(s) - g(s). Let t(d) = -d**3 + 5*d**2 - 5*d + 9. Determine -2*t(k) + 5*z(k).
2*k**3 + 7
Let q(r) = -24*r**3 - 135*r**2 - 20*r + 106. Let p(n) = 5*n**3 + 28*n**2 + 4*n - 22. Calculate -29*p(o) - 6*q(o).
-o**3 - 2*o**2 + 4*o + 2
Let k = 1 + -7. Let p(b) = 107*b - 161*b - 1 + 61*b + 6. Let c(t) = 7*t + 6. Determine k*p(w) + 5*c(w).
-7*w
Let l(r) = r**3 - r - 1. Let p(f) = 3*f**3 - 2*f - 3. Let j(n) = -5*l(n) + 2*p(n). Let s(k) = 3*k**3 + 5*k - 8. Let t = -44954 + 44949. Give t*j(m) + s(m).
-2*m**3 - 3
Let m(t) = 2*t - 9. Let d(o) = -105 - 10*o + 9*o + 108. Give -8*d(c) - 3*m(c).
2*c + 3
Let z(d) = d - 7. Let s be z(12). Let b(f) = 7 + s*f + 2*f + 0 + 2*f. Let t(n) = 2*n + 1. Let y(k) = k + 1. Let h(q) = t(q) + 2*y(q). What is 2*b(m) - 5*h(m)?
-2*m - 1
Let x(t) = t**3 + 3*t**2 + t - 3. Let z(v) = v**3 + 5*v**2 + 2*v - 5. Let s(r) = 6*r + 32. Let j be s(-5). Let w be 9*(2/(-3))/j. Determine w*z(l) + 5*x(l).
2*l**3 - l
Suppose 7*i + 104 = -204. Let w(p) = 24* | {
"pile_set_name": "DM Mathematics"
} |
t g(y) = 23*y**2 + 5*y + 5. What are the prime factors of g(u)?
3, 29
Let i be ((-800)/30)/((-1)/3). Let u = -67 + i. List the prime factors of u.
13
Let u = 3024 - 921. What are the prime factors of u?
3, 701
Let k(o) = 19 + 11*o + 2*o**2 - 6 - 3*o**2 - o. Let c be k(11). Suppose -m - 3*i + 19 = 0, -2*m + 116 = 2*m + c*i. List the prime factors of m.
31
Suppose 2*x - 1 = 29. What are the prime factors of 146*9/(-4)*(-10)/x?
3, 73
Let w(s) be the second derivative of 3*s**3/2 - 39*s**2/2 - 19*s. What are the prime factors of w(16)?
3, 5, 7
List the prime factors of ((-50)/(-5))/((-1)/(-28)) - 5.
5, 11
Suppose -6*p - 2179 = -8503. What are the prime factors of p?
2, 17, 31
Suppose 4*v + 5*o = 194, 2*v - 4*o = 5*v - 146. Suppose 0 = 3*m - v - 38. List the prime factors of m.
2, 7
Let m(x) = 4*x - 16. Let d be m(5). Suppose 0 = 2*v + 2*f + 80 - 346, -d*v = -4*f - 572. What are the prime factors of v?
2, 3, 23
Let b(s) = -9*s - 51. List the prime factors of b(-29).
2, 3, 5, 7
Let a = 739 - -678. What are the prime factors of a?
13, 109
Suppose 3*w - 7*w - 2*h - 36 = 0, 28 = -4*w + 2*h. List the prime factors of 280/(-15)*60/w.
2, 5, 7
Suppose 3*v - 8*v + 25 = -5*f, -4*f = v + 15. What are the prime factors of 115 - ((f - -4) + -1)?
2, 29
List the prime factors of 1132 - (7 - (4 - 5)).
2, 281
Suppose 3*y - 27 = -2*y - 4*c, -3*y - 2*c = -15. Let k be 2 + 9/(y + -6). What are the prime factors of (k + (-15)/(-6))*4?
2, 3
Let g(n) be the second derivative of -4*n**3 + n**2 + 20*n. Suppose -3*i + 6*i + 6 = 0. List the prime factors of g(i).
2, 5
Suppose 6 = i - 8. Let w = -6 + i. List the prime factors of w.
2
Suppose -n + 3 = -1. Let g(s) = -12*s - n + s - 8 + s. What are the prime factors of g(-5)?
2, 19
Let p(t) = -t**2 + 14*t + 4. Let x be p(14). Suppose x*a + 37 = -23. Let z = a + 47. List the prime factors of z.
2
Let n = -480 - -2318. What are the prime factors of n?
2, 919
Suppose 0*j - j = -192. Suppose 15*f - 37 = 23. Suppose 4*a + j = 3*w, f*w = -a + 2*a + 269. List the prime factors of w.
2, 17
Suppose -5*c = -241 + 91. Suppose -33 = 3*z + c. Let h = 4 - z. List the prime factors of h.
5
Suppose n = -3 + 8. Suppose 4*b + 369 = -3*s + 17, -n*b = 2*s + 447. What are the prime factors of b/14*(1 + -5)?
2, 13
Let c = 50 + -45. Suppose 6*u - 455 = u - 5*h, -h - 425 = -c*u. What are the prime factors of u?
2, 43
Suppose -3*z - 1069 = 2*s - 2862, -z = 5*s - 4515. List the prime factors of s.
2, 113
Let x = 95 + -139. List the prime factors of 1/(-2)*x + -2.
2, 5
Suppose 270*v = 267*v + 3033. List the prime factors of v.
3, 337
List the prime factors of 4 + 6/15*(1 - -3034).
2, 3, 7, 29
Let f = -1653 + 2466. List the prime factors of f.
3, 271
Suppose 5*m + 4*f = 5*f + 997, 0 = -f + 3. What are the prime factors of (-1)/(-8) - (-23575)/m?
2, 59
Suppose -7834 = -4*z + 102. What are the prime factors of z?
2, 31
Let y(n) = -n + 6. Let r(a) = -a**2 + a. Let l be r(0). Suppose -2*v = -l*v. List the prime factors of y(v).
2, 3
Let n(m) = -3*m + 668. Let x be n(0). Suppose -x = -y - 3*y. What are the prime factors of y?
167
Let i(v) be the second derivative of 7*v**4/2 - v**3/3 + v**2 + 4*v. List the prime factors of i(1).
2, 3, 7
Let t(o) = 10*o**2 + 2*o + 1. Let a be t(-1). Suppose 0 = -a*i + 324 + 216. What are the prime factors of i?
2, 3, 5
Suppose 0 = -7*n + 11*n - 536. List the prime factors of n.
2, 67
List the prime factors of (55/(-5) - -9)*-499.
2, 499
Let s(u) = -u + 49. List the prime factors of s(-14).
3, 7
Let j(s) = -2*s**3 + 18*s**2 + 5*s + 18. Let z(q) = q**3 - 6*q**2 - 2*q - 6. Let n(t) = 4*j(t) + 11*z(t). List the prime factors of n(3).
3, 5
Suppose 0 = 5*t + 2*v - 1783, -343 = -5*t + 4*t + 3*v. List the prime factors of 9/(-27) - t/(-3).
2, 59
Suppose -2*p + 2*f + 986 = 0, 3*p - 2*p + 3*f - 489 = 0. List the prime factors of p.
2, 3, 41
Suppose 878 = 3*u - 685. What are the prime factors of u?
521
Let a(v) = v**2 + v - 97. List the prime factors of a(17).
11, 19
Let y be (-12500)/(-70) + (-3)/(-7). Suppose j - y + 57 = 0. What are the prime factors of j?
2, 61
Let i(u) = u**2 - 7*u + 9. Let v = 10 + -4. Let g be i(v). Suppose y - 66 = -2*c, 3*c - 100 = 2*y - g*y. What are the prime factors of c?
2, 17
Let w = 721 + -347. List the prime factors of w.
2, 11, 17
Let w(r) = 409*r**2 - 2*r + 4. Let h be w(1). Suppose -h - 1249 = -10*v. List the prime factors of v.
2, 83
What are the prime factors of (-2)/(-2)*(234 - 50)?
2, 23
Suppose 0 = -3*u + 8*u - 50. What are the prime factors of 1322/u + 32/40?
7, 19
Let r = 137 - -814. List the prime factors of r.
3, 317
Suppose -3*j + 3*m + 10 = -4*j, 3*j + m - 10 = 0. Suppose 0 = 4*o + j - 45. Suppose u = 3*b - 1 + o, -4*b = -3*u + 42. What are the prime factors of u?
2, 3
Suppose 0 = 4*r + 5*f + 4, -3*f = -3*r - 38 + 8. Let n be 9/r*(-8)/3. What are the prime factors of -3*(-1)/n*4?
3
Let j be 4 - (1 - -2) - -3. Suppose -310 = p + j*t, 317 = -0*p - p + 3*t. List the prime factors of p/(-12) + (-6)/36.
2, 13
Suppose 5*g - 4075 = -3*k, 3*k - 5*g - 4082 = -3*g. What are the prime factors of k?
2, 5, 17
Suppose 2*i = 0, -4*h - 3*i = -5*i - 26208. List the prime factors of h/30 + (-12)/(-20).
3, 73
Let a(y) = 2*y**2 + 12*y + 172. List the prime factors of a(-14).
2, 3, 11
Suppose 6*r - 6 = 4*r. Suppose 0*i - 5*i + 15 = 0, -r*h = -2*i - 111. List the prime factors of h.
3, 13
Let k(d) = d**2 - 8*d + 4. Let l be k(8). Suppose m + l*m = 365. What are the prime factors of m?
73
Let g = -81 + 74. Let w = 97 - g. What are the prime factors of w?
2, 13
Let l(u) = -u**2 + 9*u - 15. Let d be l(6). Suppose d*q - 33 = -0*q. Let b(x) = x**2 - 9*x + 6. List the prime factors of b(q).
2, 7
Suppose 0*o = 3*o + 2*g - 30, -30 = -3*o - 3*g. Let h(r) = r**2 - 11*r + 14. List the prime factors of h(o).
2
Suppose -3*o - 5*f + 62 = 0, -f - 15 = 2*o - 47. Let i(n) = 17*n - 18. Let q be i(o). Suppose -b - 4*b = -q. List the prime factors of b.
2, 11
Suppose 57*c = 83*c - 16952. What are the prime factors of c?
2, 163
Let m(f) = 23*f**2 + 1. Let w be -4*(-4)/((-16)/2). Let n be m(w). Suppose 4*s - 59 = n. List the prime factors of s.
2, 19
Suppose -5*c + 410 + 10 = 0. Let s = c - 34. What are the prime factors of s?
2, 5
Let u be (-1)/2*-4 + 0. Suppose -3*h = -o + 1, -3*o + h + 2*h = -3. Suppose 3*s - u*s = -o, 5*k - s - 231 = 0. What are the prime factors of k?
2, 23
Suppose -5 = -3*k + 2*k + w, 3*w = -9. Let x be k/(-4) + (-41)/(-2). List the prime factors of ((-304)/x)/((-4)/10).
2, 19
Let y(w) = 19*w - 6. Let v be y(4). Let p = v - 156. Let x = -38 - p. What are the prime factors of x?
2, 3
Let h be 57/21 - (-10)/35. Suppose h*o = 3*r + 105, 2*o - 5*r - 34 = 48. Suppose -g - 4*l = -0*g - 6, l + o = g. List the prime factors of g.
2, 13
What are the prime factors of (-956*1/(-12))/((-1)/(-3))?
239
Suppose 27*z = 29*z - 8. Suppose z*v - 255 = -87. List the prime factors of v.
2, 3, 7
List the prime factors of 0 - (-1450 - -1) - (-2 - -4).
1447
Let a = -1098 + 3690. List the prime factors of a.
2, 3
Let q = 893 - 131. List the prime factors of q.
2, 3, 127
Let b = -1 - -100. Let v = -52 + b. List the prime factors of v.
47
Let o(w) = -10*w - 8. Let r(q) be the first derivative of -q**3/3 + 39*q**2/2 + 32*q - 1. Let j(i) = -9*o(i) - 2*r(i). What are the prime factors of j(-8)?
2, 5
Suppose -3*t = 5*c - 10, 2*t + 8*c - 6*c = 4. Suppose -910 = -4*j - 3*u - 266, -3*j + 5*u + 512 = t. What are the prime factors of j?
2, 41
Suppose 5*q = a + 17, -3*q = -0*q + 2*a - 5. Suppose -q*s - 2*n = -4*n - 508, n = 2*s - 339. Let x = s - 100. What are the prime factors of x?
2, 5, 7
Let x(f) = -350*f - 5. What are the prime factors of x(-2)?
5, 139
Let y be -6 + (-77)/(-14) - 443/(-2). Suppose -37 - y = -2*r - 4*b, 0 = -3*r + 2*b + 395. What are the prime factors of r?
131
Let u(o) = -2*o - 7. Let h = -10 - -16. Suppose 2*y - h = -22. List the prime factors of u(y).
3
Let c = 25 - 20. Suppose 2*z + 2*d = 144, -d - 360 = -c*z + 3*d. List the prime factors of z.
2, 3
List the prime factors of (((-84)/(-18))/(-7))/((-1)/543).
2, 181
Suppose -2*k + 234 = 1364. Let n be k/(-30) - 1/(-6). Let j = 43 - n. What are the prime factors of j?
2, 3
Let r be 0 + 263 + 45/(-15). Suppose u + 68 = 2*u + 4*h, r = 4*u + 4*h. What are the prime factors of | {
"pile_set_name": "DM Mathematics"
} |
ird derivative of -8*k**3*p**3*x**2 + 2*k**3*p**2*x**2 - 2*k**3*x**2 - 6*k**2*p**3*x**2 - 56*p**2*x + p**2 wrt p.
-48*k**3*x**2 - 36*k**2*x**2
Find the second derivative of -11*r**3 + r**2 + 103*r wrt r.
-66*r + 2
What is the second derivative of -k**3*l**2 + 39*k**3*l + 2*k**2*l**2 - 64*k*l**4 + 22*k*l wrt l?
-2*k**3 + 4*k**2 - 768*k*l**2
What is the second derivative of -388*y**2*z**2 + 2*y**2 - y - 2*z**2 + 157 wrt y?
-776*z**2 + 4
Differentiate -3*t**3 + 3*t**2 - 55*t + 3609 wrt t.
-9*t**2 + 6*t - 55
What is the first derivative of -89*c**4*o + 6*c*o + 1871*o wrt c?
-356*c**3*o + 6*o
What is the derivative of -4*j**2*o + 5*j*o + o + 29 wrt j?
-8*j*o + 5*o
What is the first derivative of 150*q*x**3 - 4330*q + 9*x**3 wrt x?
450*q*x**2 + 27*x**2
What is the third derivative of 2*a**3*n*u + 2*a**3*n - 105*a**3*u + 11*a**2*n*u - 2*a**2*n + a**2*u wrt a?
12*n*u + 12*n - 630*u
Find the second derivative of 389*k**2 + 2*k - 111 wrt k.
778
What is the third derivative of 3607*h**3 - 3*h**2 + 448?
21642
Find the first derivative of f*r**2 + 23*f*r + 54*f + 2*r**2 - 30*r + 4 wrt r.
2*f*r + 23*f + 4*r - 30
Find the third derivative of 4*m**4 - 78*m**3 - 203*m**2 wrt m.
96*m - 468
What is the third derivative of 5098*n**4 + 689*n**2 - 5*n wrt n?
122352*n
Find the second derivative of -167*r**3*u**2 - 25*r**3*u - r**2*u**2 + 2*r*u + 4*r wrt u.
-334*r**3 - 2*r**2
What is the third derivative of -2*b**4*d*g + 64*b**3*d*g**2 + b**2*d + 436*b*d - 4*g**2 wrt b?
-48*b*d*g + 384*d*g**2
What is the derivative of 4*r**2*y**2 - 27*r*y**2 + 4*r + 15*y**2 wrt r?
8*r*y**2 - 27*y**2 + 4
What is the second derivative of 116*l**3 + 168*l?
696*l
Differentiate -9*n*p + n + 69 wrt p.
-9*n
Find the second derivative of 36*x**2 + x + 19 wrt x.
72
Find the first derivative of 477*t**3 + 602.
1431*t**2
Find the first derivative of -1787*v**2*w**2*x**2 - v**2*x**2 + 16*v**2*x - 6*v + 4*w*x**2 + x**2 wrt w.
-3574*v**2*w*x**2 + 4*x**2
What is the second derivative of 9*c*r**5 - 2*c*r**4 + c*r**3 - c*r + 10*c - 5*r wrt r?
180*c*r**3 - 24*c*r**2 + 6*c*r
Differentiate l**2*n**4 + 871*l**2 - 137*n**4 with respect to n.
4*l**2*n**3 - 548*n**3
What is the third derivative of a**3*v**2*x**3 + 11*a**3*v**2*x**2 + 7*a**3*x + 762*a*v*x**3 + 3*a*x**2 wrt x?
6*a**3*v**2 + 4572*a*v
Find the second derivative of 79*d**5*v**2 + 4*d**5 - 4*d*v**2 + 7*d*v + 2*v**2 wrt d.
1580*d**3*v**2 + 80*d**3
What is the third derivative of 8*c**2*p**2*q**3 + c**2*p**2*q**2 + 68*c**2*p*q**2 + c**2*p - 3*c**2*q - 266*c*q**3 + p**2*q**3 + 3*p**2*q wrt q?
48*c**2*p**2 - 1596*c + 6*p**2
Find the second derivative of -2*r**2*s**2 + 74*r**2*s*t**2 - 2*r**2 + 818*s**2*t**2 - 5*s*t**2 + s*t wrt s.
-4*r**2 + 1636*t**2
Find the third derivative of -237*i**6 + 3*i**3 - 13*i**2 - 92*i wrt i.
-28440*i**3 + 18
Differentiate -16*g**3*v**3 - 8*g**2*v**3 + 2*v**3 - 322 wrt g.
-48*g**2*v**3 - 16*g*v**3
What is the third derivative of 29*m**6*y**2 - 4*m**4 - m**3*y**2 - 39*m**2*y**2 + m**2 wrt m?
3480*m**3*y**2 - 96*m - 6*y**2
What is the third derivative of -1533*h**4 + 3*h**3 + 2*h**2 - 1627*h + 1?
-36792*h + 18
Find the third derivative of -34*h**4 - 5*h**3 + 6*h**2 + 20*h wrt h.
-816*h - 30
What is the third derivative of 3*l**5*w**2 - 72*l**5*w + 6*l**2*w + 2*w**2 + 4*w wrt l?
180*l**2*w**2 - 4320*l**2*w
Find the third derivative of 153*n**3 + 58*n**2 wrt n.
918
What is the second derivative of -142*a**5 + 175*a wrt a?
-2840*a**3
Find the third derivative of 1873*v**3 + 56*v**2 + 5*v wrt v.
11238
What is the second derivative of 593*y**4 - 9*y**2 - 117*y - 25 wrt y?
7116*y**2 - 18
What is the third derivative of 302*q**3 + 2*q**2 - 107*q wrt q?
1812
Find the third derivative of 467*p**4 - 290*p**2 wrt p.
11208*p
Find the second derivative of 336*d*n**5 + 3*d*n**4 - 3*d*n**2 - 2*d*n - 3*d + 2*n - 620 wrt n.
6720*d*n**3 + 36*d*n**2 - 6*d
Differentiate -188*n**2*w - 168*n**2 with respect to w.
-188*n**2
Find the second derivative of 190*a**2*k**4 - a**2*k**2 - 18*a**2 + 9*k wrt k.
2280*a**2*k**2 - 2*a**2
What is the second derivative of -30*j*p**4 - 2*j*p**2 - j*p + 2*j - 4*p**4 - 21 wrt p?
-360*j*p**2 - 4*j - 48*p**2
Find the third derivative of -35*m*q**3*t**2 + 2*m*q**3*v - 2*m*t**2*v - 4*q**3*t*v - 111*q**2*t**2 + 2*q**2 - 2*t**2*v wrt q.
-210*m*t**2 + 12*m*v - 24*t*v
Find the second derivative of 50*j**4 + j**2*y**2 + 37*j**2 - 256*j*y**2 + y**2 - 4 wrt j.
600*j**2 + 2*y**2 + 74
Differentiate -25898*y + 30329 with respect to y.
-25898
What is the second derivative of 37*d*m**2*y + 2*d*m**2 - 3*d*m*y - 2*d*m - d - m**2*y - 2*m**2 + 2*y wrt m?
74*d*y + 4*d - 2*y - 4
Find the third derivative of -11350*x**4 + 2622*x**2 wrt x.
-272400*x
What is the third derivative of 34*q**4*r - 2*q**4 - 18*q**3*r - 2*q**3 - 15*q**2*r - q**2 + 24 wrt q?
816*q*r - 48*q - 108*r - 12
Differentiate -1291*v**2 + 7089.
-2582*v
Differentiate -19*l*v**2 - 2*l*v + 9215*l - 2*v**2 + 4*v with respect to v.
-38*l*v - 2*l - 4*v + 4
What is the third derivative of -31*h**3*p**4 - 197*h**3*p - 2*h*p**6 + p**2 - p wrt p?
-744*h**3*p - 240*h*p**3
Find the first derivative of 465*h**2*x**2 - 7*h**2 - 66*x**2 + 6*x - 3 wrt h.
930*h*x**2 - 14*h
Find the first derivative of -23*a**2*h**2 - 2911*a**2 - a*h**2 + 59*h**2 wrt h.
-46*a**2*h - 2*a*h + 118*h
Find the first derivative of -63*v**3 - 276.
-189*v**2
Find the first derivative of -2*a**4 + 45*a**3 - 114 wrt a.
-8*a**3 + 135*a**2
Find the third derivative of 206*z**6 - 3*z**3 + 308*z**2 - z wrt z.
24720*z**3 - 18
What is the second derivative of 2*m**2*t**3 - 112*m**2*t - 3*t**5 + 5*t**3 + 2*t wrt t?
12*m**2*t - 60*t**3 + 30*t
Find the second derivative of -f**3*g - 11*f**2*g**3 + f*g**2 - f*g + 24*g**3 wrt f.
-6*f*g - 22*g**3
Find the first derivative of -5*f*u**2 - 20*f*z**2 + 5*u**2*z**2 + 3*u**2 - 1 wrt f.
-5*u**2 - 20*z**2
What is the second derivative of 67*z**4 - 3*z + 35?
804*z**2
Differentiate 66*x**3 - 4*x**2 + x - 2997 wrt x.
198*x**2 - 8*x + 1
What is the third derivative of b**3*g**5 + b**3*g**2 - 40*b**2*g**2 - 3*b*g**5 wrt g?
60*b**3*g**2 - 180*b*g**2
Find the first derivative of 2*k*q**2*z - 6*k*q**2 - 1974*k*z + 2*k - 24*q**2 - q*z + 3 wrt z.
2*k*q**2 - 1974*k - q
Find the third derivative of -2*j**4*n**3 + 371*j**4 + j**3*n - 14*j**3 + 11*j**2*n**3 - j**2*n + 20*j*n**3 - 5*j*n**2 wrt j.
-48*j*n**3 + 8904*j + 6*n - 84
What is the third derivative of -2*q**2*r**6 + 197*q**2*r**4 + 611*q**2*r**2 - r**2 wrt r?
-240*q**2*r**3 + 4728*q**2*r
What is the third derivative of -3*l**5 - 101*l**3 + 256*l**2 - 2 wrt l?
-180*l**2 - 606
What is the second derivative of -4*b**2*f*h + b**2*f*v - 7*b**2*h*v - b*f*h*v + 12*b*f*v + 3*b*h - 2*f*v - h*v wrt b?
-8*f*h + 2*f*v - 14*h*v
What is the derivative of -51*q**2*y**3 + q**2*y + 2*q**2 - 46*q wrt y?
-153*q**2*y**2 + q**2
Find the third derivative of 69*s**3 - 2*s**2 - 54*s.
414
Find the third derivative of -9*i**3*k**2*z - 4*i**3*k*z + 39*i**2*k**2*z - i*k**2*z + i*z - 2*z wrt i.
-54*k**2*z - 24*k*z
What is the second derivative of -7367*a**2 - 11236*a?
-14734
What is the first derivative of -729*y - 14152 wrt y?
-729
What is the second derivative of -47*d**2*s**2 + 74*d**2 + 7*d*s wrt s?
-94*d**2
What is the second derivative of 1026*n**2 - 180*n?
2052
Find the first derivative of 510*j - 1242.
510
What is the second derivative of -15961*t**2*u - 2*t*u - 1857*u wrt t?
-31922*u
What is the derivative of -32*h**2*i**2*m + 12*h**2 - 10*h + 2*i**2*m + i**2 wrt m?
-32*h**2*i**2 + 2*i**2
What is the third derivative of 581*i**3 + 328*i**2 + 1 wrt i?
3486
Find the second derivative of 96*q**2 - 72*q - 1 wrt q.
192
Find the second derivative of 3*y**3 + 20*y**2 + 82*y - 1.
18*y + 40
What is the first derivative of 2199*x**3 - 2239 wrt x?
6597*x**2
What is the first derivative of -109*k - 1222 wrt k?
-109
Differentiate -10*i**2*n + 7735*i**2 - 61*i*n wrt n.
-10*i**2 - 61*i
What is the third derivative of -371*l**3 + 2797*l**2?
-2226
What is the third derivative of -2*d**5 - 1309*d**4 - 187*d**2 wrt d?
-120*d**2 - 31416*d
Differentiate -b**2*r**2 - 71*b**2*r + b**2 - 4*b*r + 859*b - 2 with respect to r.
-2*b**2*r - 71*b**2 - 4*b
Find the third derivative of 364*z**6 - 29*z**2 + z wrt z.
43680*z**3
What is the first derivative of -4*t**3 + 21*t**2 + 93*t + 15512 | {
"pile_set_name": "DM Mathematics"
} |
b = 4395 - 1595. What is b rounded to the nearest one thousand?
3000
Let b = -4 + 4.4. What is b rounded to 1 dp?
0.4
Let c = 1 + 1. Let z = -2.2 + c. Round z to one decimal place.
-0.2
Suppose 5*k = 922 + 12898. Suppose 4*h - 3*f = -2766, -k = 4*h + 3*f - 5*f. What is h rounded to the nearest one hundred?
-700
Let g = -0.19 + 0.04. Let t = 7.15 + g. Let f = -7.0015 + t. Round f to 3 dps.
-0.002
Let n be (-10499994)/(-15) - (-2)/5. What is n rounded to the nearest one hundred thousand?
700000
Let t = -126 - -126.00146. What is t rounded to 4 dps?
0.0015
Let f = 155 - 154.99984. Round f to 5 decimal places.
0.00016
Let x = -1339.51 + 1345. Let r = 5 - x. Round r to one dp.
-0.5
Let q = 492.263 - 492. Round q to two dps.
0.26
Let g be (-87)/(-3 - (-18)/4). Round g to the nearest ten.
-60
Let h(l) = -443*l. Let i be h(1). Round i to the nearest ten.
-440
Let g = 291.9999879 - 292. Round g to 6 decimal places.
-0.000012
Let f = -20.7 - 0.3. Let k = -6 + f. Let h = 27.0013 + k. Round h to 4 dps.
0.0013
Let f = 28 + -20. Let l = f + -8. Suppose 3*c + 33327 - 129327 = l. What is c rounded to the nearest ten thousand?
30000
Let x(m) = -469*m - 27. Let c be x(17). Round c to the nearest 10000.
-10000
Let f(t) be the second derivative of 28001*t**4/12 + t**3/6 + 5*t. Suppose 2*s = 3*s + 1. Let n be f(s). Round n to the nearest ten thousand.
30000
Suppose k - 3390 = 4*i, -i + 2*i + 13515 = 4*k. Suppose 5*z + 45878 = k. Round z to the nearest 1000.
-9000
Let g = 0.37 + 28.93. Let t = -28 + g. Let x = 1.252 - t. Round x to two dps.
-0.05
Suppose -3*n - 4*o + 95 + 749 = 0, 0 = -5*n + 4*o + 1364. Let a(x) = -8*x - 10. Let r be a(7). Let h = n + r. Round h to the nearest one hundred.
200
Let q(i) = -i**3 + i**2 + 3*i - 3. Let v be q(2). Suppose w + 4*w - 20 = 0. Let u be v/((-2)/w) + -10902. Round u to the nearest one thousand.
-11000
Let p = -780922 - -526922. What is p rounded to the nearest ten thousand?
-250000
Let n = 0 + 2. Let o = 31969027 - 20969025. Let c be n/5 - o/5. What is c rounded to the nearest one million?
-2000000
Suppose 3*h + 5 = -5*u, 2*u - 5*h - 18 = 11. Let b be (-10)/6 - u/6. Let q be b/4 + (-2956)/8. Round q to the nearest 100.
-400
Let g be ((-24)/6 - 47999) + 3. Round g to the nearest 10000.
-50000
Let m = -0.036069 - -0.036. Round m to 5 decimal places.
-0.00007
Let n(r) = -45001*r**3 - 4*r**2 - 4*r. Let l be n(-2). Round l to the nearest one hundred thousand.
400000
Let p = 2152776.62999957 + -2152769.83. Let k = p + -6.8. What is k rounded to seven decimal places?
-0.0000004
Let t(d) = -d**2 + 6*d. Let f be 1/((4/3)/4). Suppose 0 = -f*l - 2*j + 3*j + 18, 5*l + 5*j = 30. Let p be t(l). Round p to the nearest one thousand.
0
Let j = 230.2119 - 230.6. Let g = j + 0.0411. Let t = g - -0.37. Round t to two decimal places.
0.02
Let d(r) = -8160*r**3 + 3*r**2 + 15*r. Let g be d(-5). Round g to the nearest one hundred thousand.
1000000
Let j = -25.54 - -26. Let n = j - 18.46. Let m = -18.088 - n. What is m rounded to 2 dps?
-0.09
Let k = 8164 - 14867. Let i = k + 6702.7023. Let g = -0.311 - i. Round g to three decimal places.
-0.013
Let o(u) be the second derivative of 39*u**5/2 + u**4/12 - u**3/2 + u**2 + 3*u. Let q be o(2). Suppose -880 = -4*p + q. Round p to the nearest ten thousand.
0
Let n = 8 - 6. Let c = -6 + 10. Suppose 106 = -n*v - c*u, v + u + 240 = -3*v. Round v to the nearest 10.
-60
Suppose 4*g - m = 12, 2*g - 3*m = g - 8. Suppose g*w = 3*w. Suppose -2*l + 3*p = -5*l - 2091, 5*p - 15 = w. Round l to the nearest one hundred.
-700
Suppose -z = -749021 - 1908909. Suppose 4*v + z = -6222070. Round v to the nearest one hundred thousand.
-2200000
Let d = 64.792 - 65. What is d rounded to two dps?
-0.21
Suppose 0*z + 27 = z. Let w = -15 + z. Suppose r + 2*r = w, 3*r + 1349988 = -3*o. What is o rounded to the nearest one hundred thousand?
-500000
Let q(c) be the third derivative of -3813*c**5/20 + c**4/4 + 5*c**2. Let f be q(4). Round f to the nearest ten thousand.
-180000
Let x = 147.822699 - 139.79461844. Let s = 7.94808 - x. Let b = -0.08 - s. What is b rounded to seven decimal places?
0.0000006
Let j(c) = -262*c**2 - c - 4. Let y be j(-2). Round y to the nearest 100.
-1100
Suppose 5*w + 670985 + 84015 = 0. What is w rounded to the nearest ten thousand?
-150000
Let s = -95833348.99999958 + 95833348. Let m = -0.8 - 0.2. Let r = m - s. What is r rounded to 7 dps?
-0.0000004
Let g = -102 - -48. What is g rounded to the nearest 10?
-50
Let j = -8.8644989 + 0.0654089. Let l = 8.8 + j. Round l to four dps.
0.0009
Let y(k) = 1745*k + 1. Let l be y(3). Let u = l + -11796. Let w be (-125)/((-2)/u*-1). What is w rounded to the nearest one hundred thousand?
400000
Let h = 32 + -22. Let r = h + -9.9999986. Round r to six decimal places.
0.000001
Let w(j) = -12125*j**3 + j**2 + j - 2. Let y be w(-2). Round y to the nearest 10000.
100000
Let r = 2.8 - 2.800234. What is r rounded to five decimal places?
-0.00023
Let a = -26.00000034 + 26. Round a to seven decimal places.
-0.0000003
Let n = 31.6 - 32.054. Let l = 0.084 + n. What is l rounded to 1 dp?
-0.4
Let q = 0.264 + -27.664. Let h = q - -24. Round h to the nearest integer.
-3
Let a = 2.3 - -0.7. Let x = -208.974006 + 205.974. Let u = x + a. Round u to five decimal places.
-0.00001
Let w = 2.08 + -0.18. Let v = w + -1.11. Round v to one dp.
0.8
Let u = 205 - 204.17. Round u to one decimal place.
0.8
Let w = 20 - 16. Suppose c = w*c - 408. What is c rounded to the nearest ten?
140
Let x(q) = -q**3 + 6*q**2 + 9*q - 10. Let t be x(15). What is t rounded to the nearest one hundred?
-1900
Suppose -13184 = -3*j - 4*u, 0 = -4*j + 5*u + 2387 + 15233. Round j to the nearest 1000.
4000
Let p = -4.08 + 5.2. Let b = -1.11899 + p. What is b rounded to four dps?
0.001
Let z = -79 - -67.2. Round z to the nearest integer.
-12
Let z be (-159045866)/(-10) + (-6)/(-15). Suppose -z - 8895413 = -4*b. What is b rounded to the nearest one million?
6000000
Let v = 0.466 - 0.466197. What is v rounded to 5 decimal places?
-0.0002
Let c = 0.13 + 4.87. Let o = c - 5.17. Let m = 0.1738 + o. What is m rounded to three decimal places?
0.004
Suppose 0*r - 3 = -2*y - 3*r, -2*r + 2 = 3*y. Let c = 6 + -4. Suppose y = l - 0*n + 4*n + 6684, -n + 13404 = -c*l. Round l to the nearest 1000.
-7000
Let q = 4.4000116 - 4.4. Round q to 6 dps.
0.000012
Let k = 10287 + 8066. Suppose -5*r = 3*t - k, -8871 = 3*t - 5*r - 27244. Suppose 0 = 3*p + t + 4679. Round p to the nearest one thousand.
-4000
Suppose 2*n = -2 - 0. Let f be (-1 - n) + 39932 + 2. Suppose -44004 = 2*b - 2*w, 0 = -2*b + 4*w - f - 4074. Round b to the nearest 10000.
-20000
Let r = -13 - -14.1. Let y = r - 1.086. What is y rounded to 2 dps?
0.01
Let j = -1.16 + -72.84. Let p = -116 - j. Let f = -42.00000073 - p. What is f rounded to seven dps?
-0.0000007
Let z be (6/(-4))/(9/(-7860)). What is z rounded to the nearest one hundred?
1300
Suppose -3*g - 10 = -4. Let b(r) = -9900*r. Let x be b(g). Suppose q - x = -q. What is q rounded to the nearest one thousand?
10000
Let h = 1 + 2. Suppose -5*x - 5 = h*v, x + v = -3*v - 18. Let j be 910 - (0/x - 0). Round j to the nearest one hundred.
900
Let g = 367.0135 - 0.0135. Let t = 359.86 - g. Let i = -0.74 - t. Round i to the nearest integer.
6
Let q = -0.8771 - -0.88. What is q rounded to 3 dps?
0.003
Let i be -1*12/(-15)*5. Suppose i*r = -2 + 6. What is r rounded to the nearest 10?
0
Let j be 35/(16/18 - 1). Let o = j - -685. What is o rounded to the nearest 100?
400
Let v = -35.4 + 5.4. Let w = -30.43 - v. What is w rounded to one decimal place?
-0.4
Let h = -501.7 + 531. Let i = h + -25. What is i rounded to 0 decimal places?
4
Let a = -31319604200 + 31319223352.00006. Let m = a - -380857. Let u = m - 9. Round u to 4 dps.
0.0001
Let t(q) = -3*q**3 - 15*q**2 - 6*q + 24. Let h be t(-12). What is h rounded to the nearest one hundred?
3100
Let k = 0 + 1. Let r be k*(-4 + 2 - 160). Round r to the nearest ten.
-160
Suppose 4298 - 2471180 = -3*t. Suppose 2*b + t = -137706. Round b to the nearest one hundred thousand.
-500000
Let q(t) = -637*t**3 - 2*t**2 + t - 1. Let z be q(-2). Suppose -2*o + 7515 = -z. Round o to the nearest 1000.
6000
Suppose 3758 = 3*s - 2242. What is s rounded to the nearest 10000?
0
Let v = 2.523 - -119.577. | {
"pile_set_name": "DM Mathematics"
} |
le of 8 and o?
56
Let u(g) = 4*g**3 + 413*g**2 + 112*g + 957. What is the least common multiple of u(-103) and 1/(-4) + 133/4?
330
Let x = 1260 - 1144. Let a = 3338/3 - 1122. Find the common denominator of 0 - 9/12 - (-193)/x and a.
174
Suppose -3*a + 35673 = -60438. Let b = a - 62825/2. Let o = 668 - b. What is the common denominator of -6/79 and o?
158
Suppose 548 = -2*a + 78. Let c = a + 193. What is the common denominator of -73/3 and c?
3
Suppose -o = 24368 - 137157. Let b = o + -1234107/11. Let c = b + -593. Calculate the common denominator of -12/5 and c.
55
Let b = -671 + 1571. Suppose b = -4*k + 34*k. What is the smallest common multiple of 8 and k?
120
Let s = 20901 + 25697. Let q = 1956943/42 - s. What is the common denominator of -31/60 and q?
420
Let o(m) = -m**2 - 8*m + 21. Let i be o(2). Find the common denominator of -113/492 and (i/(-4) - (-3)/(-84))/4.
3444
Let o = 65737/12 + -5468. Let r = -1987 - -12125/6. Let k = r - o. Calculate the common denominator of -47/10 and k.
20
Suppose 3*i - 1185 = -2*i. Suppose 5*q = 20*q - 375. What is the common denominator of -133/18 and i/(-20) - (-15)/q?
36
Calculate the common denominator of -40 and 6*(-12)/(-252) - (-14438)/(-55188).
3942
Let c be 1*(-2)/(-2)*(70 + -34). Calculate the common denominator of -139/72 and -2 + (6/(-8))/((-18)/c).
72
Suppose w = -0*w + 67. Suppose -w = -5*f + r + 1, 4 = 2*r. What is the smallest common multiple of f and 930?
6510
Let b be 4/6 + (98/(-21) - -7). Let s = -130/27 - -571/27. What is the common denominator of s and 3154/836 + b/(-2)?
33
Let l(g) = -g**2 + 54*g - 683. Calculate the smallest common multiple of l(29) and 126.
126
Suppose 1661 + 4025 = 4*n + 1510. What is the least common multiple of 1044 and n?
1044
Suppose 5*q - 2*f + 274 = 0, -12*q - 295 = -7*q + 5*f. What is the common denominator of -143/12 and ((-66)/1656)/(4 + 220/q)?
276
Suppose 0 = 4*b + 3*k - 128, k + 8 = -k. Calculate the lowest common multiple of ((-12)/(240/350))/((-3)/6) and b.
35
Let a = 140308/13 + -99619681/9230. What is the common denominator of 69/9230 and a?
9230
Let n = 259437/22 + -11794. Calculate the common denominator of 53/4 and n.
44
Let w(c) = c**3 + c**2 - 3*c + 1. Let k be w(2). Suppose k*u - 3*u = 28. Let a(i) = i**3 + i**2 - 12*i + 1. Calculate the lowest common multiple of a(-4) and u.
7
Let i = 2812 + -33719/12. Let a be -1 + (8/14 - 0). Let x = a + 5/42. What is the common denominator of x and i?
84
Let b be (1 + -2*41)*(-966)/207. Suppose 0 = 111*u - 93*u - b. What is the smallest common multiple of 2/4 + (-20)/(-8) and u?
21
Calculate the common denominator of 25/306 and ((-28)/98)/(2295/(-70)).
918
Let y = 281/6 - 319/6. Let l be 17/(-340)*5/7302. Let t = l + -603619/379704. What is the common denominator of t and y?
39
What is the smallest common multiple of (219 - 220)*(4/((-12)/(-9)) - 797) and 24?
9528
Suppose 0 = -2*a - 3*d + 63, -4*a + 2*d - 74 + 224 = 0. What is the common denominator of 33/15 + 2/3 and (a/(-3564))/(1/69)?
165
Find the common denominator of 26/847 and (1*(-36)/56)/((-234)/174*1).
22022
Let j = 143275/21 + -6822. Find the common denominator of -23/87 and j.
609
Let q = 148 + 305. Let g = -433 + q. Calculate the smallest common multiple of 12 and g.
60
Suppose o - 77 = -4*g, 2*g = -4*o + 5 + 23. Let j(m) = m + 7. What is the smallest common multiple of j(5) and g?
60
Suppose -82423 - 28593 - 70100 = -43*z. What is the lowest common multiple of 51 and z?
71604
Calculate the smallest common multiple of 132 and -2 + 0 + 0 + 167.
660
Let d = 7538 + -7466. What is the lowest common multiple of d and 162?
648
Suppose -6*x = -9*x + 42. Let h be x/(-7) + (-80932)/22. Let l = h + 3676. Calculate the common denominator of -73/3 and l.
33
Let k = -8 + 52. Let u = 179 + -175. Suppose -2*f + 90 = 5*b, 6 = u*b - 5*f - 33. Calculate the smallest common multiple of b and k.
176
Calculate the common denominator of -21/218 and ((-44)/(-7))/(216/(-168)).
1962
Let q be (-5)/(-10)*-12602*-1. Suppose -6*b + 2825 + q = 0. Let m = -3127/2 + b. Find the common denominator of m and -76/15.
30
Let h = 62 - -22. Suppose 13*z = 55*z + 157 - 409. What is the smallest common multiple of z and h?
84
Let o = 1928452789/354 - 5447591. Let m = -1/708 - o. Calculate the common denominator of (-41)/(-2) + 2/8 and m.
4
Suppose -10*t + 78073 - 3025 - 3608 = 0. Calculate the lowest common multiple of t and 16.
14288
Let z be (-9)/((-648)/(-16)) - (-74)/9. Suppose -8*t = z*t - 176. Calculate the smallest common multiple of t and 4.
44
Let g = 10053 - 9981. What is the smallest common multiple of 1520 and g?
13680
Let s = 31/1382 - -85631/33168. What is the common denominator of 35/12 and s?
48
Suppose 12*u - 14*u - 8858 = 0. Calculate the common denominator of -13/9 and u/(-5562) - 5*(-1)/(-6).
27
Suppose -8*n - 3*n + 165 = 0. Suppose -8 = -19*y + n*y. Let p(j) = -j**2 - 6*j + 4. Calculate the lowest common multiple of y and p(-5).
18
Let m = 66 + -48. Suppose 3*p - m = -d, 4*d + 8 + 5 = 5*p. Let o(g) = -6*g + 9. Calculate the smallest common multiple of d and o(0).
9
Suppose -4*v - r + 0 - 7 = 0, 0 = -v - 5*r - 16. Calculate the common denominator of (v/276)/(3/66) and (1 - 42/(-16))*3744/10296.
1518
Find the common denominator of 6/33 + (-3 - 5/(-6)) and (-488)/(-128) + (-3)/(-2).
528
Suppose 4*u - 1 = 83. Suppose -912 = -5*o - q, -2*q + 157 + 386 = 3*o. What is the lowest common multiple of o and u?
1281
Let g(w) = -11*w + 33. Let n be g(3). Suppose 0 = x - 2*h - 61 - 25, n = -2*x - 4*h + 196. Calculate the least common multiple of x and 8.
184
Suppose -1401 + 6156 = -15*w. Let j = 331 + w. Calculate the smallest common multiple of 35 and j.
70
Let x(y) = 530*y**2 + 16*y + 8. Calculate the lowest common multiple of x(2) and 16.
2160
Suppose -4*v - 174 = -h - 30, 2*v - 4*h = -86. Let m = 74 + v. Suppose 0 = -3*p - 2*p + 15. Calculate the lowest common multiple of p and m.
39
Let k be 28280/(-80)*(-12)/7. Let m = k - 7163/12. What is the common denominator of m and 49/27?
108
Let m = 3500023739/96396 - 57859/831. Let a = -36240 + m. What is the common denominator of 7/20 and a?
580
Let i = 5 - 3. Let k be 0 - i*12/(-8). Suppose k*c - s - 55 = 0, 5*s = -0*c + c + 5. Calculate the least common multiple of 6 and c.
60
What is the common denominator of -99/992 and 1309/112 + (-13 - 1)?
992
Suppose -10*x + 11*x + v = 32, -4*x - 2*v + 130 = 0. What is the least common multiple of 3256 and x?
9768
Suppose -11*c = -15*c + 48. Suppose 3*y + 2*a + c = -8, -3*a - 32 = 5*y. What is the smallest common multiple of (3 + 1)/4 - y and 6?
30
Let o(s) = 164*s - 2618. Suppose y - 4*y = -3. Calculate the least common multiple of o(16) and (2 - 1) + 7 + y.
18
Suppose 0 = -66*u + 52*u + 308. Calculate the least common multiple of ((-2)/1)/((-13)/(429/u)) and 9.
9
Let h = 9278 - 9280. Let d be (0 + 0)/(3 + -2). Find the common denominator of (-115)/130*(h + d) and -31/9.
117
Suppose 7*h - 5*r = 4*h + 820, -4*h + 1112 = -2*r. Calculate the lowest common multiple of 84 and h.
840
What is the least common multiple of 1085 and 6/6*(18 + -11)?
1085
Let a = 3263 + -205574/63. What is the common denominator of -59/168 and a?
504
Suppose -64*u - 159545 + 355750 = -306835. What is the smallest common multiple of 21 and u?
55020
Let g(i) = -19*i - 147. Suppose -2*f - 26 = 3*n, -22*n = -23*n + f - 7. Calculate the least common multiple of g(n) and 146.
730
Let q be ((-20)/(-50))/(1 - (-349)/(-350)). Let y = q + -14. Let i = 139 - y. Calculate the least common multiple of i and 4.
52
Let k = -19/11640 + -6242/1455. What is the common denominator of (-2)/3 + (-49)/(-12) and k?
24
Let v be (2695/(-10))/11*2. Calculate the common denominator of v/(-7) - 796/128 and -139/12.
96
Let p = 54 - 118. Let k = -2636/11 - -20769/88. Calculate the common denominator of (-2)/(p/3)*116 and k.
8
Suppose 5*c = -5*p - 3 + 38, 15 = 3*p. What is the lowest common multiple of 640 and c?
640
Let z(u) = -u**3 - 31*u**2 - 4*u - 96. Let r be z(-31). Suppose -48 = -k - r. Calculate the least common multiple of k and 10.
20
Let s = 187/3598 - 26897/215880. Find the common denominator of -109/105 and s.
840
What is the common denominator of 1073/6380 - 2/(-8) and -101/44?
220
Let m(i) = 8*i - 15. Let v be m(4). Suppose -1 | {
"pile_set_name": "DM Mathematics"
} |
*4/3 - 1617*u**3 + 4127*u**2/3 + 4850*u/3 - 1496 = 0. What is u?
-374, -1, 1, 12
Let -2*l**3 + 7774*l**2 - 1786032*l + 5288184 = 0. Calculate l.
3, 242, 3642
Solve -2*n**2 + 22464*n + 58476320 = 0 for n.
-2180, 13412
Factor c**5/4 - 1339*c**4/2 + 2667541*c**3/4 - 292779045*c**2 + 47810009025*c.
c*(c - 774)**2*(c - 565)**2/4
Find b such that -4*b**3 + 47349508*b**2 - 94699004*b + 47349500 = 0.
1, 11837375
Find c, given that c**4 - 1204*c**3 + 43102*c**2 + 89820*c + 45513 = 0.
-1, 39, 1167
Factor 5*f**3 - 306555*f**2 - 2759450*f + 3066000.
5*(f - 61320)*(f - 1)*(f + 10)
Suppose -3*x**5 + 1570557*x**4 - 205553322237*x**3 - 205556463357*x**2 + 205553322240*x + 205554892800 = 0. What is x?
-1, 1, 261760
Factor -o**2/6 - 2481575*o/3 - 6158214480625/6.
-(o + 2481575)**2/6
Factor -s**3 + 14750*s**2 + 458081*s + 1921530.
-(s - 14781)*(s + 5)*(s + 26)
Solve -5*c**3 + 10885*c**2 + 2886720*c + 33064560 = 0 for c.
-228, -12, 2417
Suppose -415*j**2/3 - 8707*j/3 + 56 = 0. What is j?
-21, 8/415
Factor 3*z**3 + 46521*z**2 - 139620*z - 465300.
3*(z - 5)*(z + 2)*(z + 15510)
Determine t so that 2*t**2 + 5352442*t + 37466996 = 0.
-2676214, -7
Solve r**3 - 3104*r**2 + 76975*r = 0.
0, 25, 3079
Factor -i**4 + 6724*i**3 - 114061*i**2 + 281694*i.
-i*(i - 6707)*(i - 14)*(i - 3)
Suppose 2*l**4/9 + 32*l**3 - 23512*l**2/9 + 2272*l + 7394816/9 = 0. Calculate l.
-202, -16, 22, 52
Let 578*w**4/9 - 74936*w**3/9 + 3460028*w**2/9 - 7427480*w + 51106050 = 0. What is w?
337/17, 45
Let -2*c**4/7 - 1426*c**3/7 - 121572*c**2/7 = 0. What is c?
-614, -99, 0
Suppose o**3 - 6376*o**2 - 372335*o - 5385258 = 0. Calculate o.
-31, -27, 6434
Factor o**2/3 + 46204*o/3 - 123232.
(o - 8)*(o + 46212)/3
Determine h, given that -1831*h**2/4 - 1391*h - 213/4 = 0.
-3, -71/1831
What is z in 2512*z**3/3 + 32026*z**2/3 - 69131*z/6 + 55/6 = 0?
-55/4, 1/1256, 1
Determine t, given that 39931*t**3/3 + 1623860*t**2 + 1610469*t - 242/3 = 0.
-121, -1, 2/39931
Suppose -m**2/5 + 1907*m/5 - 268362/5 = 0. Calculate m.
153, 1754
Suppose -y**4 - 6431*y**3 - 70643*y**2 - 147625*y + 224700 = 0. Calculate y.
-6420, -7, -5, 1
Find s, given that -s**5/5 + 9213*s**4/5 + 1107151*s**3/5 + 31338443*s**2/5 - 20380710*s + 69448744/5 = 0.
-61, 1, 2, 9332
Solve 4*p**2/7 + 944688*p/7 - 18895360/7 = 0.
-236192, 20
Factor -5*w**3 + 203140*w**2 + 20*w - 812560.
-5*(w - 40628)*(w - 2)*(w + 2)
Factor 430*q**3/3 + 39577*q**2/3 + 911444*q/3 + 35972/3.
(q + 46)**2*(430*q + 17)/3
Let k**3 - 3245*k**2 + 404950*k = 0. What is k?
0, 130, 3115
Determine p so that -3*p**2 + 86787*p - 4245360 = 0.
49, 28880
Let v**4/6 - 18803*v**3/3 + 118151239*v**2/2 - 8465347852*v/3 + 16221938686/3 = 0. Calculate v.
2, 46, 18779
Find b, given that -4*b**2/5 - 19106*b/5 - 291338 = 0.
-4699, -155/2
Factor 6457568881*j**4/3 - 6465122627*j**3 + 22667865*j**2 - 19881*j.
j*(j - 3)*(80359*j - 141)**2/3
Determine q, given that 5*q**3 - 229715*q**2 + 1148450*q = 0.
0, 5, 45938
Let -h**3/2 - 967405*h**2/2 + 17413776*h - 156725442 = 0. Calculate h.
-967441, 18
Factor -5*m**3 - 1274745*m**2 - 81249378120*m - 81248103380.
-5*(m + 1)*(m + 127474)**2
Suppose 3*a**4 - 89312934*a**3 + 664732991055531*a**2 + 5317868215465848*a + 10635739288946352 = 0. Calculate a.
-4, 14885493
Factor 4*o**2 + 501300*o - 2005264.
4*(o - 4)*(o + 125329)
Solve p**2/7 - 4549*p/7 - 1189656/7 = 0 for p.
-248, 4797
What is q in -2*q**5 + 20528*q**4 - 654966*q**3 + 1207312*q**2 + 654968*q - 1227840 = 0?
-1, 1, 2, 30, 10232
Determine p so that 5*p**3 - 124635*p**2 - 28359045*p - 1605893285 = 0.
-113, 25153
Find g, given that -g**2/4 - 8913797*g/2 - 79455776957209/4 = 0.
-8913797
Factor 3*z**2/4 - 201969*z/4 - 38652420.
3*(z - 68080)*(z + 757)/4
Determine g so that 3*g**4/8 + 117*g**3/2 - 23013*g**2/8 + 50001*g/4 + 15435 = 0.
-196, -1, 6, 35
Find o such that 2*o**3 + 2248820*o**2 + 632205140800*o + 31604635240000 = 0.
-562180, -50
Find g such that 3*g**3/4 + 6003*g**2/4 + 522828*g - 243343440 = 0.
-1128, 255
Solve 3*i**2 + 624258*i - 3745656 = 0.
-208092, 6
Solve k**2/4 + 5657028*k + 32001965792784 = 0.
-11314056
Determine w, given that 84*w**4 - 111184*w**3 - 7876588*w**2 + 4907992*w - 756704 = 0.
-68, 2/7, 1/3, 1391
Solve -3*k**3 - 34842*k**2 - 95131971*k + 35534022084 = 0 for k.
-5973, 332
Let 3*v**3/2 - 2508*v**2 + 54450*v = 0. Calculate v.
0, 22, 1650
What is v in 2*v**3 + 316772*v**2 + 6967970*v - 7284744 = 0?
-158364, -23, 1
What is y in 4*y**2/9 + 463094992*y/9 + 13403560725967504/9 = 0?
-57886874
Let -4*m**4/5 + 248912*m**3/5 - 52387288*m**2/5 + 557417616*m - 546989940 = 0. Calculate m.
1, 105, 62017
Solve 4*w**4/5 - 3773048*w**3/5 + 1186315463616*w**2/5 - 124329419410093832*w/5 - 870364066622539076/5 = 0.
-7, 314423
Solve -2*g**4/5 - 292728*g**3/5 - 10706525064*g**2/5 + 342908621056*g/5 = 0.
-73198, 0, 32
Find c, given that -4*c**4 - 19644*c**3 - 3165576*c**2 - 69529040*c + 5468517600 = 0.
-4745, -98, 30
What is z in -5*z**3 - 1035*z**2 + 107540*z = 0?
-283, 0, 76
Find r, given that 3*r**2 - 2992194*r - 5984400 = 0.
-2, 997400
Suppose -2*h**2 + 5436926*h - 76116572 = 0. Calculate h.
14, 2718449
Determine w so that -2*w**5/17 + 18098*w**4/17 - 12449996*w**3/17 + 12413804*w**2/17 + 12449998*w/17 - 12431902/17 = 0.
-1, 1, 749, 8299
Factor y**2/3 + 5828*y/3 - 6817668.
(y - 2466)*(y + 8294)/3
Factor 2*h**3 - 10286668*h**2 - 205733960*h - 1028670800.
2*(h - 5143354)*(h + 10)**2
What is q in -2*q**2 + 63030400*q - 496603915520000 = 0?
15757600
Let -4*n**2 - 11104*n + 12778500 = 0. Calculate n.
-3651, 875
Find i such that -3*i**4 + 89868*i**3 - 595893324*i**2 - 1155225101184*i - 495729010732032 = 0.
-814, 15792
Let -h**3/4 + 1159*h**2/2 + 11621*h/4 - 6969/2 = 0. What is h?
-6, 1, 2323
Let -83275709*n**3 - 1060576*n**2 - 1156*n + 16 = 0. Calculate n.
-2/253, 4/1301
Suppose -m**5/9 - 1163*m**4 - 3401653*m**3/3 + 89944007975*m**2/9 - 24594105809312*m/3 - 8208030181156 = 0. Calculate m.
-6546, -1, 1313
Factor 2*f**3 - 2468952*f**2 - 34565622*f - 120980020.
2*(f - 1234490)*(f + 7)**2
Factor -2*q**2/7 - 1286813*q/7 - 643406/7.
-(q + 643406)*(2*q + 1)/7
Suppose -2*j**2/17 - 14567544*j/17 + 43702650/17 = 0. Calculate j.
-7283775, 3
Solve 4*o**2 - 1540789648*o + 148377046211497744 = 0.
192598706
Factor 5*c**5 - 66400*c**4 + 1061120*c**3.
5*c**3*(c - 13264)*(c - 16)
What is r in 120*r**2/7 - 154*r/3 - 5704/21 = 0?
-124/45, 23/4
Find t, given that 514*t**4 + 2046*t**3 + 2530*t**2 + 978*t - 20 = 0.
-2, -1, 5/257
Let -3*j**3 + 275*j**2 - 4381*j - 1491 = 0. Calculate j.
-1/3, 21, 71
Determine f so that 22*f**5 - 1396*f**4/7 + 3632*f**3/7 - 692*f**2/7 - 5514*f/7 + 360/7 = 0.
-1, 5/77, 3, 4
Suppose -6*t**3 + 328314740*t**2 + 218876496*t = 0. What is t?
-2/3, 0, 54719124
Factor -3*a**4 - 7222416*a**3 + 144449220*a**2 - 722247600*a.
-3*a*(a - 10)**2*(a + 2407492)
Determine p, given that p**5/9 + 43*p**4/3 - 4835*p**3/9 + 6869*p**2/3 + 97570*p/9 + 8000 = 0.
-160, -2, -1, 9, 25
Factor 2*j**3/5 + 1060768*j**2/5.
2*j**2*(j + 530384)/5
Factor -f**3/6 + 1271*f**2/6 + 277780*f/3.
-f*(f - 1615)*(f + 344)/6
Factor -2*p**3/9 - 2486402*p**2/9 - 772763174270*p/9 + 772785552050.
-2*(p - 9)*(p + 621605)**2/9
Factor -s**2 - 22733*s + 40414230.
-(s - 1657)*(s + 24390)
Factor -5*w**2/2 - 21415*w + 8405480.
-5*(w - 376)*(w + 8942)/2
Determine g so that -484*g**4 - 792132*g**3 + 32754816*g**2 - 11832272*g + 1073280 = 0.
-1677, 2/11, 40
Let -t**2/5 - 1347574*t/5 + 2695152/5 = 0. Calculate t.
-1347576, 2
Factor -11762*u**2 + 235270*u - 600.
-2*(u - 20)*(5881*u - 15)
Determine q so that -4*q**3 - 325816*q**2 = 0.
-81454, 0
Let 3*t**4 - 2202*t**3 + 398487*t**2 + 2034468*t + 2457324 = 0. Calculate t.
-3, -2, 366, 373
Factor -44944*z**2 - 21394616*z - 2546110681.
-(212*z + 50459)**2
Factor -w**3/8 + 1949143*w**2/8 - 118725041101*w + 2611891942979/2.
-(w - 974566)**2*(w - 11)/8
Find q such that -2*q**3/5 - 52456*q**2 = 0.
-131140, 0
Find v, given that v**3/4 + 11474*v**2 - 7322905*v/4 - 1842200 = 0.
-46055, -1, 160
Factor -4*x**2 - 1126000*x - 79242250000.
-4*(x + 140750)**2
Let 24*x**3/7 - 1476672*x**2/7 + 22713430350*x/7 + 22714907046/7 = 0. What is x?
-1, 61529/2
Solve -2926*g**4 - 1223300*g**3 - 4942424*g**2 - 380848*g + 13248 = 0 for g.
-414, -4, -2/19, 2/77
Factor -2*t**3 - 7292*t**2 - 5366144*t - 1120403136.
-2*(t + 452)**2*(t + 274 | {
"pile_set_name": "DM Mathematics"
} |
replacement from {r: 9, f: 10}.
5/19
Two letters picked without replacement from rghfgeeggeghgghe. What is prob of sequence hf?
1/80
Calculate prob of sequence ghs when three letters picked without replacement from ugghhgugxusg.
1/132
What is prob of sequence uu when two letters picked without replacement from {u: 2, v: 1}?
1/3
Three letters picked without replacement from {j: 6, q: 4}. What is prob of sequence jqj?
1/6
Two letters picked without replacement from {y: 2, n: 2, q: 5, b: 4, e: 1}. What is prob of sequence en?
1/91
Calculate prob of sequence vl when two letters picked without replacement from vvvvkklvkkvkv.
7/156
Three letters picked without replacement from {t: 1, m: 4, x: 5, z: 1, s: 4}. What is prob of sequence tmz?
2/1365
Calculate prob of sequence ddrd when four letters picked without replacement from {k: 1, d: 3, i: 3, e: 2, r: 1}.
1/840
Two letters picked without replacement from {t: 1, s: 1, h: 2}. Give prob of sequence sh.
1/6
Calculate prob of sequence rod when three letters picked without replacement from jjlrjjod.
1/336
Calculate prob of sequence tpv when three letters picked without replacement from {v: 2, p: 1, a: 2, d: 4, t: 1, c: 2}.
1/660
Calculate prob of sequence wwg when three letters picked without replacement from gwgwwgg.
4/35
Calculate prob of sequence qmzp when four letters picked without replacement from {y: 1, z: 1, p: 1, d: 1, m: 1, q: 2}.
1/420
Two letters picked without replacement from {e: 1, w: 1, i: 2, l: 3}. What is prob of sequence iw?
1/21
Calculate prob of sequence gg when two letters picked without replacement from gmxmxtmmtt.
0
Three letters picked without replacement from {g: 8, h: 4, e: 2}. What is prob of sequence ggg?
2/13
Calculate prob of sequence kv when two letters picked without replacement from fssvvksfufm.
1/55
Three letters picked without replacement from {l: 4, y: 1, o: 1, r: 5, u: 3}. What is prob of sequence rou?
5/728
What is prob of sequence dvv when three letters picked without replacement from {d: 3, v: 3}?
3/20
What is prob of sequence ssw when three letters picked without replacement from {s: 6, u: 2, w: 3, t: 4}?
3/91
What is prob of sequence ppp when three letters picked without replacement from {l: 2, p: 3, e: 3}?
1/56
Two letters picked without replacement from aigiabz. What is prob of sequence az?
1/21
Three letters picked without replacement from nvqsz. What is prob of sequence vqq?
0
Calculate prob of sequence zr when two letters picked without replacement from {z: 1, m: 1, r: 1}.
1/6
Two letters picked without replacement from sesesesseeeseeqqqs. What is prob of sequence es?
28/153
What is prob of sequence naa when three letters picked without replacement from {a: 2, n: 9}?
1/55
Calculate prob of sequence un when two letters picked without replacement from {a: 2, u: 1, n: 2}.
1/10
What is prob of sequence njtj when four letters picked without replacement from {t: 3, n: 4, j: 4}?
1/55
Calculate prob of sequence jx when two letters picked without replacement from xztjzxxx.
1/14
What is prob of sequence xjxx when four letters picked without replacement from kxjxakaaaaxkjakaa?
1/4760
Four letters picked without replacement from {v: 3, h: 6, r: 4}. What is prob of sequence vrrh?
9/715
Three letters picked without replacement from btxbbqbbbxxqbbtx. What is prob of sequence bqq?
1/210
Calculate prob of sequence bqn when three letters picked without replacement from {b: 1, w: 2, u: 2, g: 1, q: 1, n: 2}.
1/252
Calculate prob of sequence ydd when three letters picked without replacement from yynyypyydydyy.
3/286
Three letters picked without replacement from rfffgfgffrrnrffrfff. What is prob of sequence ngf?
11/2907
Two letters picked without replacement from jjjjjjjjqjjjjjjjjq. What is prob of sequence jj?
40/51
Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrrr.
1
What is prob of sequence hky when three letters picked without replacement from ffkhkkyfkffhff?
1/273
Three letters picked without replacement from {m: 1, n: 2, o: 1, s: 3}. What is prob of sequence osn?
1/35
Calculate prob of sequence jjj when three letters picked without replacement from {s: 7, j: 5}.
1/22
Calculate prob of sequence vrbp when four letters picked without replacement from {p: 1, b: 1, x: 2, r: 3, v: 3}.
1/560
Three letters picked without replacement from {j: 7, l: 5, u: 1, b: 1}. What is prob of sequence ulb?
5/2184
What is prob of sequence lel when three letters picked without replacement from legli?
1/30
Two letters picked without replacement from {x: 8, l: 2, q: 5}. What is prob of sequence xq?
4/21
Calculate prob of sequence pypu when four letters picked without replacement from upypp.
1/20
What is prob of sequence gxxx when four letters picked without replacement from {x: 10, g: 2}?
4/33
What is prob of sequence fnpp when four letters picked without replacement from ppnphnhpphhfnnfpf?
3/476
What is prob of sequence dq when two letters picked without replacement from {q: 15, d: 5}?
15/76
Four letters picked without replacement from rixgbgiigbio. Give prob of sequence igbg.
2/495
Calculate prob of sequence mp when two letters picked without replacement from ccpmmjjcjcm.
3/110
Two letters picked without replacement from {n: 1, z: 1, s: 1, k: 1, m: 1, c: 2}. What is prob of sequence mz?
1/42
What is prob of sequence lw when two letters picked without replacement from {l: 1, i: 3, b: 2, t: 1, w: 1, f: 4}?
1/132
Calculate prob of sequence xu when two letters picked without replacement from {h: 1, x: 1, u: 1}.
1/6
What is prob of sequence eeff when four letters picked without replacement from {f: 7, a: 1, e: 6}?
15/286
Calculate prob of sequence ct when two letters picked without replacement from cccbcbccctcocbppb.
9/272
Four letters picked without replacement from {y: 4, m: 6}. What is prob of sequence ymmy?
1/14
What is prob of sequence fnnf when four letters picked without replacement from mffmmmmmffnfmnffmn?
7/2040
Four letters picked without replacement from kxpkpkcccczkcp. What is prob of sequence pcpp?
5/4004
Calculate prob of sequence mfw when three letters picked without replacement from wftftttwmmtm.
1/110
Calculate prob of sequence epo when three letters picked without replacement from ebbbpbxobeeb.
1/440
Two letters picked without replacement from qmmvsvkqqkqvqkz. Give prob of sequence mz.
1/105
Three letters picked without replacement from {p: 5, o: 5, z: 5, k: 2}. What is prob of sequence ppp?
1/68
Calculate prob of sequence cs when two letters picked without replacement from {v: 1, c: 1, y: 5, s: 2}.
1/36
Calculate prob of sequence ha when two letters picked without replacement from hphpahhaahahhhhaahah.
77/380
Four letters picked without replacement from cwwc. What is prob of sequence wcwc?
1/6
Three letters picked without replacement from ppippciiiicp. Give prob of sequence iic.
1/33
Two letters picked without replacement from {i: 3, l: 6, m: 1, s: 4}. Give prob of sequence ls.
12/91
Two letters picked without replacement from ccccccmmcmfmc. Give prob of sequence fc.
2/39
Calculate prob of sequence rdy when three letters picked without replacement from hmdmydmrmndmdd.
5/2184
Two letters picked without replacement from lqazlqlqqllq. Give prob of sequence az.
1/132
What is prob of sequence uu when two letters picked without replacement from uuuxuuxuuux?
28/55
Two letters picked without replacement from {z: 4, t: 2, e: 1, f: 2}. What is prob of sequence fe?
1/36
What is prob of sequence hwqh when four letters picked without replacement from {w: 5, h: 4, q: 1}?
1/84
Calculate prob of sequence etm when three letters picked without replacement from niontnnonmitennmntmm.
1/570
Four letters picked without replacement from {u: 1, a: 1, b: 1, c: 1, s: 2, q: 1}. What is prob of sequence ssbq?
1/420
Two letters picked without replacement from {o: 12, j: 1}. What is prob of sequence oo?
11/13
Two letters picked without replacement from {i: 1, c: 2, b: 1, h: 3, r: 11, o: 1}. Give prob of sequence ch.
1/57
Three letters picked without replacement from {f: 4, u: 7}. What is prob of sequence uuu?
7/33
What is prob of sequence zrzk when four letters picked without replacement from {r: 7, z: 2, x: 2, k: 1}?
7/5940
Calculate prob of sequence sjs when thr | {
"pile_set_name": "DM Mathematics"
} |
hat is d rounded to one decimal place?
-1.3
Let o(m) = -10 + 25*m**2 - 10 + 7*m**3 + 0*m**3 - 15*m - 12*m**3. Let q be o(-16). What is q rounded to the nearest one thousand?
27000
Suppose -3*q + 4*w = 7*w + 896751, 3*q + 896761 = -5*w. Let o = 4088 - q. What is o rounded to the nearest ten thousand?
300000
Let j be (-8)/(-16)*-194*7/(-1). Suppose t = 3*p - 156, 0*p + 2*p + t - 99 = 0. Let y = p + j. What is y rounded to the nearest one hundred?
700
Suppose s - 4 + 8 = 0. Let t(b) = -3103*b - 12. Let p be t(s). What is p rounded to the nearest 1000?
12000
Let f = 1657.217 - 1658. Let p = -185.043 - -185. Let t = p - f. Round t to 1 dp.
0.7
Let b = 9.95515 + 0.09085. Round b to 0 decimal places.
10
Let a = -21 - -16. Let f be 12890/8 - a/(-20). Let k = -3211 + f. What is k rounded to the nearest 100?
-1600
Suppose 5*s + 0*s = -5*i + 25, 4*i - 8 = -s. Let g = 2 + i. Suppose 0*f - g*f + 2*z = -19199992, -2*f + 2*z = -12799992. Round f to the nearest 1000000.
6000000
Let o = 3059 + -3026.18. What is o rounded to the nearest 10?
30
Let x = -3582.6577 - -3583. Round x to 2 decimal places.
0.34
Let v be 1*(-10)/8*-4. Suppose v*j + 115492797 = 15492797. Round j to the nearest one million.
-20000000
Let t = 60 - 21. Let i = t - 38.9877. What is i rounded to 3 decimal places?
0.012
Let w = 73.44 - 60. Round w to zero dps.
13
Let p = -0.094 - -9.824. Round p to zero decimal places.
10
Let m = 28202 + -28171.942. Let x = 0.058 - m. Let z = x - -27.9. What is z rounded to zero dps?
-2
Let h = 0.035 - -103.965. Let w = 103.748 - h. Round w to two decimal places.
-0.25
Let v be 6294486/3 - (1 + 1). Let s = v - 498158. Suppose -g + c + 4800002 = -4*g, -g - c - s = 0. Round g to the nearest one million.
-2000000
Let s(d) = -104*d - 2. Let x be s(-5). Let y be x/10 - 24/30. Round y to the nearest ten.
50
Suppose 5*u - 32740008 = -4*k, -5*u + 2*k - 3*k = -32740002. Round u to the nearest one million.
7000000
Let o(f) = 22*f**3 + f**2 + 2*f - 3. Let i be o(2). Suppose -2*b - 2*l - i = -1201, -2040 = -4*b + l. Round b to the nearest one hundred.
500
Let m be (1/((-12)/40))/((-3)/(-7632)). What is m rounded to the nearest one hundred?
-8500
Let q = 0.171 - 0.17099828. What is q rounded to seven decimal places?
0.0000017
Let t be (-3 - -955)/(-2) - -8. Round t to the nearest ten.
-470
Let v = 698463.0339981 - 698463. Let y = v + -0.034. Round y to six decimal places.
-0.000002
Let p = 760.54 - 761. What is p rounded to 1 decimal place?
-0.5
Let c = -1662.817 + 1661. Let d = -142 - -140.26. Let l = c - d. What is l rounded to two decimal places?
-0.08
Suppose -x + 269999 = 2*o - 0*x, 0 = -5*o - x + 674999. Round o to the nearest one hundred thousand.
100000
Let g = -23.6431 - 0.0869. Let s = g + -3.07. Let f = 26.80169 + s. Round f to four decimal places.
0.0017
Let w = 6326.19 - 6370. Round w to the nearest 10.
-40
Let g = 11029560 + -18409560. Round g to the nearest one hundred thousand.
-7400000
Let d = -3.802 + -31.508. Let t = 34 + d. Round t to the nearest integer.
-1
Let f be -2 - -3 - 4 - -47. Let p(v) = 34 - f - 150565*v - 43434*v. Let c be p(10). Round c to the nearest one hundred thousand.
-1900000
Let v = 44 + -44.0000038. Round v to 5 decimal places.
0
Let s(t) = 905*t + 4. Let i be s(6). Suppose q - d - 10692 = 739, 0 = 5*d - 15. Let m = i - q. Round m to the nearest 1000.
-6000
Let k = 99 - 98.8. Let b = 41854606 + -41854606.19999951. Let q = b + k. Round q to seven dps.
0.0000005
Let w = 443865301 - 443865390.1297243. Let k = 90.05972 + w. Let d = k + -0.93. What is d rounded to six dps?
-0.000004
Let w = -121 - -67. Let b = -1265 + 1211.62. Let n = w - b. Round n to 1 dp.
-0.6
Suppose 4*p - 477 = 1259. Round p to the nearest 10.
430
Let g = -433595 - -433595.940285. Let w = g + -0.94. Round w to 5 decimal places.
0.00029
Let g = -1.55 - -1.715. What is g rounded to one dp?
0.2
Let k = 36.52 - -0.48. Let y = k - 36.9755. Round y to 3 dps.
0.025
Let p(m) = 3*m**2 + m. Let n be p(-1). Let x be -3 + 15/(1 + n). Suppose 3*b - 2760008 = -x*z, -5*b + 4265360 + 334644 = z. Round b to the nearest 100000.
900000
Let a = -312.00051 + 312. Round a to 5 dps.
-0.00051
Let x(f) = -f**3 + 2*f**2 + 11*f - 503. Let w be x(0). What is w rounded to the nearest one hundred?
-500
Let y = -1284112.0838 + 1284734. Let l = y - 622. What is l rounded to two dps?
-0.08
Let l = -97835852 - -97835948.999902. Let m = -97 + l. Round m to five decimal places.
-0.0001
Let z = -9.8628409 - -9.862. What is z rounded to five dps?
-0.00084
Let w = 63 + -482. Let l = 400.1 + w. Round l to 0 dps.
-19
Suppose 4 + 10 = -7*n. Let s(c) = -67*c**2 - 4*c - 2. Let j be s(n). What is j rounded to the nearest 10?
-260
Let w(o) = -o - 2. Let r be w(-5). Suppose -r*v + 7*v = 20. Suppose 4*i - v*h = -1560000, 0 = 3*h + h. Round i to the nearest one hundred thousand.
-400000
Let h = 0.0526605 - -29.9465695. Let c = h - 30. Round c to four dps.
-0.0008
Suppose 7517 = 3*i - 6259. Suppose s + i = 59701. Suppose -2*j - s = -9109. What is j rounded to the nearest 10000?
-20000
Let r = -1.527361 - -2816101.527361. Let j = r - 2816099.7500026. Let v = 0.25 - j. Round v to six dps.
0.000003
Let s = -2.29026 - -2.29. Round s to 5 decimal places.
-0.00026
Let x(k) = -k**2 - 11*k + 4. Let a be x(-12). Let t be a/(-44) + (-11216)/(-22). What is t rounded to the nearest 100?
500
Let r(w) = 3*w - 3. Let i be r(-1). Let n be (4 + -9)/(-15) + 1322/i. What is n rounded to the nearest 100?
-200
Let n = 491 - 491.00247. Round n to four decimal places.
-0.0025
Let n = -29.167 - -30.55. Let z = n - -0.107. Round z to one dp.
1.5
Suppose 0 = -5*q, 0 = -5*g - 5*q + 11 - 1. Let v be g/6 + (-317)/(-3). Let t be (v/4)/(2/400000). Round t to the nearest one million.
5000000
Let d = 8.8006427 + -8.8. What is d rounded to four dps?
0.0006
Suppose 0 = 2*t - 2*l + 7*l + 19899990, 3*t + 2*l = -29849996. Round t to the nearest 100000.
-10000000
Let w = -102.02 + 57.7. Let n = w + 0.32. Let h = -25.6 - n. Round h to 0 dps.
18
Let b = -144 - -289. Let g = b - 85. Let t = g + -60.111. What is t rounded to 2 dps?
-0.11
Let z = -66 - -56.8. Let k = 9.19984 + z. What is k rounded to four decimal places?
-0.0002
Let g = 9 - 6. Suppose -5*o = -c - 21, -c = -g*o + 2*c + 3. Suppose -196 = o*s + d, d - 10 = 3*s + 114. What is s rounded to the nearest ten?
-40
Let v = -9.7 + 9.395. Let b = v - -0.30222. Round b to four dps.
-0.0028
Let q = -446 + 445.361. What is q rounded to 1 decimal place?
-0.6
Suppose 4*n + 4 = -3*f - 6, -3*n = -2*f + 16. Suppose -3*k + f*k + 13 = 0. Round k to the nearest ten.
10
Let y = -67 + 60.2. Let f = 35.8 + y. Let u = -29.72 + f. What is u rounded to one decimal place?
-0.7
Let t = -784.2 + 789.863. Let v = t + -6.1672. Let a = v - -0.5. What is a rounded to 3 decimal places?
-0.004
Let q = 789 - 768.76. What is q rounded to 0 decimal places?
20
Let k = 432511749686.99922 + -432517316825. Let n = k - -5567218. Let m = 80 - n. What is m rounded to 4 dps?
0.0008
Let i = 7777.9 + -7301. Let l = 458 - i. Let q = l - -10. What is q rounded to zero dps?
-9
Let o = 360 + -359.99999815. What is o rounded to 6 decimal places?
0.000002
Let m = 1079952.3799976 + -1079952. Let s = m + -0.38. Round s to 6 dps.
-0.000002
Let z = -2.37 - -2.3786. What is z rounded to four dps?
0.0086
Suppose -26480 = -11*h + 19*h. What is h rounded to the nearest 1000?
-3000
Let m = -1 + 1. Let a be 10 + -1 + -6 + 4 - 2. Suppose -x + a*c - 3615 = m, -4*x + 0*x - 14415 = -5*c. Round x to the nearest 1000.
-4000
Let k = 0.2444 + -0.198. What is k rounded to two decimal places?
0.05
Let a = 2 + 2. Suppose a*s - 4 = 0, 0 = 5*q + 4*s - 9*s + 8070. Let o = -753 - q. What is o rounded to the nearest 100?
900
Let d = 20.14 + -20. Let p = 1207 + -1207.139936. Let n = d + p. What is n rounded to 5 decimal places?
0.00006
Let o = 98 + -58. Let k = 40.0000008 - o. What is k rounded to six decimal places?
0.000001
Let l = 5.42 + -1.44. Let o = l + 0.62. Round o to zero dps.
5
Let n = -0.67 - -0.06. Let o = n - -0.6100089. What is o rounded to six dps?
0.000009
Let z(x) = 3*x**3 - x**2 + x + 2. Let v be z(-1). Let b be (-47999995)/(-10) - (6/4)/v. What is b rounded to the nearest 1000000?
5000000
Suppose -4*y + 4 = -3*y. Suppose 54 = -y*w - 238. What is w ro | {
"pile_set_name": "DM Mathematics"
} |
(a). Solve 8*y - i = 4*y for y.
2
Let c = -32 + 5. Let l(j) = -j**3 - 28*j**2 + 32*j + 115. Let n be l(-29). Let w = c + n. Solve k + 4 = -w for k.
-5
Let t be 3/2 + (450/20 - 17). Solve -t*s + 15*s + 8 = 0 for s.
-1
Suppose -259 = -2821*u + 2814*u. Solve -53 = 8*d - u for d.
-2
Let f be (-1272)/120*(20 - 0)/(-4). Solve -f - 1 = -9*r for r.
6
Suppose -22*o + 19*o = -a + 14, -2*a + 18 = 4*o. Let t(u) = -u + 1. Let m be t(-4). Let c be (5 - a) + m - -15. Solve -2 = 3*r - c for r.
4
Let h be 83 - 82 - (-6 - 0 - 2*1). Solve h*t - 4*t = 10 for t.
2
Let a(h) = 11*h**3 - 7*h**2 - 4*h + 3. Let i be a(-2). Let q be 5/(i/(-6)) - 6/21. Solve 4*n - 6*n = q for n.
0
Suppose 28*b = -659 - 237. Let p be 24/10*(112/b - -6). Solve p*c + 6 + 6 = 0 for c.
-2
Let j be ((-204)/(-8))/(4/24). Let s = j + -79. Let m = s - 70. Solve 0 = 4*o - 5*o + m for o.
4
Let r be 2/3*(2 + 10). Let q(z) = z**3 - 42*z**2 + 408*z - 74. Let d be q(27). Solve r = 3*o - d for o.
5
Let k be (-49)/14*(-288)/42. Solve -14*h = k*h - 38 for h.
1
Suppose 0 = -2*u + 4*c, 6*u + 4*c = 6*u - 7*u. Solve u = 36*x + 26 + 10 for x.
-1
Let v = -12 - -10. Let s be v/(-1)*(-1)/(-2). Suppose -a + 1 = 3*y, 5*y + 7 - 11 = -4*a. Solve 2*o = a + s for o.
1
Let s = -30792 - -30797. Solve 384 = -s*w + 414 for w.
6
Suppose 2*s - 13 = 5*n - 6, -4*n = 4. Let w(h) = -59*h**2 - h + 3. Let p be w(s). Let m = -54 - p. Solve 0*y = -3*y - m for y.
-1
Let r be 0/(((-10)/35)/(5/(-35))). Suppose -26*m + 31*m - 50 = r. Solve m*a + 20 = 5*a for a.
-4
Let d be 1 + 6 - 2/1. Let f be 23/d + 12/30. Suppose 40 = 2*t - 2*y, t - 56*y = -51*y + 16. Solve t = -4*m + f for m.
-4
Suppose 16 = -6*j + 28. Let f(s) = 66*s - 130. Let b be f(j). Let u(y) = y**3 - 4*y**2 + 5*y + 2. Let m be u(4). Solve -5*x = m - b for x.
-4
Suppose 416 = 7*p + 311. Solve 11*r = -p + 70 for r.
5
Suppose 0 = 5*m - 25. Suppose -m*w = -4*w - 8. Suppose -4*n + 2 = -z, -8 = -88*n + 84*n. Solve -2*f + z = w for f.
-1
Suppose 4 = 5*j - 1. Let f(r) = -401*r - 392. Let y be f(-1). Let a(n) = -n + 7. Let w be a(7). Solve -4*c + j - y = w for c.
-2
Suppose 5*g = 114 + 86. Solve -g*d + 168 = 2*d for d.
4
Suppose 894*s = 902*s + 1208. Let f = s - -165. Solve 13*i - f*i - 4 = 0 for i.
-4
Let a(y) = -4*y**2 + 65*y - 254. Let m be a(8). Solve 25 = m*g - 35 for g.
6
Suppose 5*t - 5*y + 70 = 0, -67 = -t + 6*t - 2*y. Let x be 1/6 + t/78. Solve -14*k + 9*k = x for k.
0
Let i(g) = g**2 - 8*g + 51. Let z be i(5). Let c = z - 20. Solve 0 = 4*n - 0 + c for n.
-4
Let q be (-627)/228 + (-43)/(-4). Solve 1020 - 956 = q*m for m.
8
Suppose 3*i + 13 = -i + 37. Solve i*s = -1254 + 1296 for s.
7
Let b be -3 + 2 + (5 - (-243 - -8)). Solve -228*f = -b*f - 77 for f.
-7
Suppose 15*m + 23*m - 10*m = -18*m. Solve -196*p + 201*p + 30 = m for p.
-6
Let k(a) = 2*a + 1. Let r(d) = -d. Let j(o) = 2*o. Let b(x) = j(x) + 3*r(x). Let l(z) = -5*b(z) - 2*k(z). Let u be l(6). Solve u = -0*f - 2*f for f.
-2
Suppose 2*t - 43*l + 42*l - 8 = 0, 2*t - 4*l = 8. Solve -t = -345*x + 343*x for x.
2
Let i(a) = -10*a**3 + 2*a**2 + 19*a + 59. Let q be i(-3). Solve -66*f + 8*f - q = 0 for f.
-5
Let l = -1115 - -1434. Solve -9*j = -283 + l for j.
-4
Let z be (26 - 28)/(2/(-212)). Let a = z - 204. Solve a*l - 13*l = -20 for l.
4
Suppose 3*z = 4*g - 43, 3*g - 7 - 19 = -4*z. Let s = 0 + g. Solve 5*c = 7*c + s for c.
-5
Suppose -7*n + 290 = -2*n. Let b(g) = -18*g + 248. Let x be b(17). Let u = n + x. Solve -h + 0 - 5 = u for h.
-5
Let z(k) = -3*k**2 + 28*k - 5. Let s be z(9). Suppose s*x = 5*b + 433, -5*x - 3*b + 569 = -0*b. Suppose x = 23*p - 9*p. Solve p*j = 5*j for j.
0
Let q(a) = a**2 - 19*a - 6. Let l be q(20). Suppose -6*d = -l - 10. Suppose -d*f = -44 - 4. Solve 2*o + 2*o = -f for o.
-3
Suppose 726 = 1117*s - 1084*s. Solve 28 = -s*y - 16 for y.
-2
Let v = -6 - -21. Let h be 4/(-10) - (-126)/v. Solve h = 2*a - 0*a for a.
4
Let t be 0 - (5 + -3)/((-8)/120). Solve -12*o + 6*o = t for o.
-5
Suppose -2*j + 5*i = 8, j + 381*i - 377*i = 22. Solve 11*n + 49 = -j for n.
-5
Suppose -q - 38 = 5*g - 10, 4*g + 245 = -5*q. Let b = q + 194. Suppose -t - b = -146. Solve 0*r + t*r = -20 for r.
-4
Suppose 2*t - 3*r = 54, 28*t - r + 114 = 31*t. Solve -t*b = -30*b + 42 for b.
-7
Let t be (-5)/(-7) + 247/(-1330)*-50. Solve t*q + 55 = 21*q for q.
5
Let k = 303 - 298. Solve 0 = -p - k for p.
-5
Let s = 14214 - 14210. Solve 15*v - 17*v = s for v.
-2
Let c(o) = 28*o - 20. Let q be 39/(-45) + 4/(-30) + 2. Let f be c(q). Solve 0 = -5*p + 12 + f for p.
4
Suppose -3*i + 369 = 2*f + 308, 79 = 5*f - 3*i. Solve -f*j = 26*j - 12*j for j.
0
Let d(q) = -q**2 - 1. Let m(w) = 3*w**2 - 7*w - 1. Suppose 8 - 4 = 2*v. Let i(n) = v*d(n) + m(n). Let x be i(8). Solve 0 = -2*s + x + 1 for s.
3
Let b(o) = 11*o - 11*o**2 + o**3 - 5 + 3*o**3 - 3*o**3. Let n be b(10). Let z = 278 + -278. Solve -n*s = -z*s for s.
0
Let b be 9/5*(11 - 6). Let t(y) = -y**2 + 17*y - 41. Let a be t(13). Suppose -b*x = -a*x + 4. Solve 2 = 2*v - x for v.
2
Suppose -2*w + 34 = -d, 0*d + 91 = 5*w - d. Suppose -w + 15 = -u. Solve r - u = 3*r for r.
-2
Suppose 79 = 22*n - 12*n - 151. Let j be (-3)/(-4) - 1/(-4). Let i be 8/(-2) + j + n. Solve -4*d - i = -0*d for d.
-5
Suppose 3*l + l - 5*b + 12 = 0, 3*b - 8 = 2*l. Let z(u) = 0 - 4 + l - 4*u. Let a be z(-1). Solve 0 = -a*v - 3 + 7 for v.
2
Let m(n) = -8*n - n - n + 3*n + 22. Let v be m(3). Solve 5*u - v = -16 for u.
-3
Let m(d) = -d**3 - 15*d**2 - 15*d - 4. Let b be m(-14). Suppose 0 = -f + 4*r + 63, 5*f - 318 = r - 79. Let z = -45 + f. Solve -z*o + b = 3*o for o.
2
Suppose -4*l + 22 = -5*q, -3*q + 10 = 5*l + 1. Let h be 8/q + 198/22. Solve h*v - 9 - 6 = 0 for v.
3
Let d be (-16)/76*(-10469)/58. Solve -12*p - 98 = -d for p.
-5
Let b = 1 + 2. Suppose -b*z + 13 = -59. Let m be (-8)/1*2/(-4). Solve 5*h - z = -m for h.
4
Let q(c) = -15 - 7*c - 56 + 0*c. Let s be q(-12). Solve 0 = -5*j + 7 + s for j.
4
Suppose -7*r + 8 = 43. Let i(j) = -j**3 - 4*j**2 + 3*j - 6. Let n be i(r). Let b(d) = -d**3 + 5*d**2 - 3*d + 1. Let w be b(n). Solve 5 = 2*k - w for k.
5
Let o(r) = 4*r**3 - 2*r**2 - 16*r + 18. Let z be o(4). Suppose 179*a - z*a = 4. Solve a*g = -g + 20 for g.
4
Suppose 1921*i - 924 = 1910*i. Solve 50*z = 71*z + i for z.
-4
Suppose -2*w + 8 = 2*w. Suppose 8 = 3*b - k, 2 = w*b - 0*b - 4*k. Solve -y + 8 = b*y for y.
2
Let o be (2/5)/(1/5). Let d be (-82)/(-10) + (-112)/(-140) - 3. Solve -2*n - d = -o for n.
-2
Let t = 6 - -67. Let q = t + -79. Let u be 0 + q/((-12)/10). Solve 2*h = u*h - 15 for h.
5
Let d be -3 + 1 + (-4)/(-1). Suppose 165*c - 3*x = 169*c + 11, -2*c = 2*x + 10. Solve 0 = d*j - c for j.
2
Let v be (-12)/(-3) + -94 + 112. Solve -14*y + v*y = 0 for y.
0
Suppose 0 = -3*b + 7 + 5. Let x = 119 - 112. Suppose 0*c + x*c = 4*c. Solve c = -b*l - 0*l - 4 for l.
-1
Suppose -g = -14*u + 10*u - 17, -g + 17 = 3*u. Solve 60 = -g*b - 59 for b.
-7
Let r(x) = -x**2 - 44*x + 21. Let l(b) = -b**2 - 45*b + 21. Let a(z) = -5*l(z) + 6*r(z). Let m be a(0). Solve 2*s = -5*s + m for s.
3
Suppose 111*n - 104*n = -105. Let v = -26 - -5. Let l = n - v. Solve 5*z - 2*z - l = 0 for z.
2
Let t(i) = i**3 + 47*i**2 - 64*i - 768. Let c be t(-48). Solve -11*d + 25 - 58 = c for d.
-3
Let l be ((-2)/(-4))/((-2)/(-8)). Let z(a) = -2633*a - 2 + a**3 + 1321*a + 1315*a - 5*a**2 + 3*a**2. Let w be z(l). Solve w = -u - 0 for u.
-4
Let z = -9931 + 10063. Solve -s - z = -134 for s.
2
Suppose -303 = -9*m + 696. Let g = 111 - m. Solve 0 = 3*q - g*q - 9 for q.
3
Suppose 127 - 127 = -38*o. Solve o = s + 5*s - 24 for s.
4
Let p be (-9)/(-1)*(0 + -1 - -3). Suppose 0 = -b - 5*b + p. Suppose -b*g + w = -w - 12, 4*g + 5*w = 39. Solve -f - g = f for f.
-3
Let v be 14 + 1 + (-24)/4. Suppose v*z - 16*z + 91 = 0. Solve 0 = 5*l + 2 + z for l.
-3
Let p(z) be the second derivative of -z**3/6 + 23*z**2/2 - 122*z. Let i be p(19). Solve 8 = -t + i for t.
-4
Suppose 0*s + 97 = a - s, -4*a - 5*s = -379. Let c be 5*(-2 + a/40). Solve 10 = -c*y - 8*y for y.
-1
Let j(o) = -o**3 + o**2 - o. Let i be j(0). Suppose 0 = 3*g - 30 - 0. Let l be (-8)/6*33/(-22) + 0/8. Solve l*b + i = g for b.
5
Suppose 23*s = 17*s + 4014. Let m = 681 - s. Solve 0*p + 3*p = m for p.
4
Let z(r) be the third derivative of r**5/60 + 3*r**4/4 + 3*r**3 - 7*r**2. Let l be 20/(-3 - 1) + -12. Let c be z(l). Solve d + 0*d = -c for | {
"pile_set_name": "DM Mathematics"
} |
+ 10, 3*m = -4*p + 102. Let d(n) = p - 67 + 9 + 2*n + 22. Determine d(11).
10
Let m be 100/(-40)*(-6)/(-4 - -7). Let v(i) be the first derivative of -1/4*i**4 + i - i**2 + 1 + 2*i**3. Calculate v(m).
16
Let v(q) = q**2 + 8*q - 6. Let c be (-3)/((-39)/(-2)) - 871/(-169). Let g be -5 + -2 + c - (-35 + 1). Let l be (-78)/8 + 24/g. Calculate v(l).
3
Let t(r) = -r**3 - 6*r**2 - r - 2. Let s(l) = 13*l**2 + 22 - 24*l**2 - 26 - 2*l - 2*l**3. Let c(y) = 6*s(y) - 11*t(y). What is c(-3)?
28
Let p(g) = -7*g - 8. Let t(l) = -14*l - 14. Let s(b) = 5*p(b) - 3*t(b). Calculate s(5).
37
Let b(g) = 2*g + 107. Let n(d) = -76. Let i(a) = -b(a) - 2*n(a). What is i(15)?
15
Let w be (-30)/(-10)*(-2)/6. Let t be (1 - (w + -2)) + -1. Suppose -t*x + 5 = 2. Let v(o) = 7*o**3 + 2*o - 1. Give v(x).
8
Let s = -19999 + 20009. Let k(j) = j**3 - 8*j**2 - 19*j - 5. Calculate k(s).
5
Let q(g) = 2*g + 5. Let z(p) = -p**3 + 4*p**2 - 2*p + 2. Let a be z(3). Suppose -a*b + 2*w = -w + 59, -w - 7 = b. Let k be (-338)/65 + (-2)/b. Determine q(k).
-5
Let n(d) be the third derivative of -2/15*d**5 + 0*d - 1/3*d**3 - 1/24*d**4 - 16*d**2 + 2. What is n(-2)?
-32
Suppose r = 5*s - 20, s + 2*r + 1 = -2*s. Let q(m) = -6*m**3 - m**2 - 2*m - 2. Let x(d) = -3*d**3 - d - 1. Let h(f) = s*q(f) - 5*x(f). Calculate h(-2).
13
Suppose 3*a = a - t + 2, 3*a = t + 8. Let w be -6*a/10*80/(-24). Suppose 0 = -3*c - 0*c + w*c. Let n(m) = -m + 4. Give n(c).
4
Let z(o) = -o**3 + 6*o + 3. Let a be z(3). Let s(u) = u**2 + 10*u + 21. Calculate s(a).
-3
Let n(r) = -2*r + 13. Let x = -59 + 4. Let y be (-2)/(-12) + (-12465)/270. Let z = y - x. Determine n(z).
-5
Let r(u) = u**2 - 11*u + 38. Let f be r(6). Let v(k) = 500*k**3 - k - 501*k**3 - f - 3*k**2 + 3*k**2. What is v(0)?
-8
Let c = -1046 - -727. Let z = c - -312. Let n(k) = k**2 + 10*k. What is n(z)?
-21
Let r(l) = l**3 - l**2 + l + 1. Let n(z) = 5*z**3 - 14*z**2 - 12*z - 3. Let m(s) = n(s) - 6*r(s). Calculate m(-4).
-1
Let a(q) be the third derivative of 2*q**2 + 1/24*q**4 + 26 - 5/6*q**3 + 0*q. Give a(5).
0
Let j = -211 - -292. Let q = j - 81. Let o(f) = f**3 - 8. What is o(q)?
-8
Let k(a) = -a**2 + 4*a + 4. Let i = -157 + 156. Let b be k(i). Let n(h) = -7*h**3 - 2*h**2 + 1. Give n(b).
6
Suppose 24*c = 22*c + 6. Suppose -c*p = k - 15, -k = k - 4*p. Let x(t) = 9*t + 6 - 22*t - 6*t**2 - t**3 + k*t + 4*t. Give x(-5).
-4
Let t(z) be the first derivative of 118 - 1/2*z**2 - 8*z. Determine t(-6).
-2
Let h(d) = 5*d**2 - d. Let z(k) = -10*k - 30. Let f(l) = 11*l + 29. Let c(w) = -5*f(w) - 6*z(w). Let a be c(-6). Suppose 3*u + a = -2*u. What is h(u)?
6
Let l(b) = -b**2 - 33*b - 16. Let j be l(-9). Let p(v) = -j*v**2 + 391*v**2 + 1 - 197*v**2. What is p(-1)?
-5
Let h(c) = 1563*c + 1551*c - 4670*c + 3*c**2 + 1559*c. Let j be (-3)/(6/8) - -1. Calculate h(j).
18
Let c = -68 + 62. Let a be (2 + c)*(3465/(-20))/(-9). Let r be 24/(-14) - (-22)/a. Let s(h) = -h**2. Determine s(r).
-4
Let m(b) = -b**2 + 6*b - 3. Suppose -3*g + 15 - 1 = c, 5*c = 10. Suppose l = -a + 2, a + g = 5*l - 3*l. Determine m(l).
5
Let q(g) = 2*g**2 + 7*g + 7. Let r(h) = -1 + 0 + 8379*h**2 - 8380*h**2. Let k(m) = -q(m) - 3*r(m). What is k(8)?
4
Suppose v + g = 2, 4*v + 12*g - 13 = 9*g. Let u(j) = 2*j**2 - j + 3. Let p(k) = -15*k**2 + 16*k - 24. Let t(q) = v*u(q) + p(q). What is t(4)?
17
Let p(t) = 348 + 350 + t - 694 + t - 3*t. Suppose 2*v = 8 + 2. Give p(v).
-1
Suppose -45*s - 105 + 510 = 0. Let k(t) = -t**3 + 11*t**2 - 14*t + 8. Calculate k(s).
44
Let i(q) = 3*q**2 - 7*q + 4. Let s be i(2). Let h be 3 + -6 + 6 - (-2 + s). Let z(d) = -d**3 + d**2 + d. Give z(h).
-15
Let h(a) be the first derivative of -1/2*a**2 + 1/6*a**4 - 10 + 25*a + 0*a**3. Let x(l) be the first derivative of h(l). Calculate x(-1).
1
Let b(r) = r**3 + 12*r**2 + 22*r + 36. Let n be b(-10). Let u(z) = -4*z**2 - 17*z + 7. Let p(q) = 3*q**2 + 17*q - 8. Let d(o) = -5*p(o) - 4*u(o). What is d(n)?
-4
Let o(a) = -20*a - 25. Let n = -7240 + 7236. Give o(n).
55
Let a(z) = -z**2 - 6*z + 12. Suppose -20*n - 92 = 48. Determine a(n).
5
Let h(q) be the first derivative of 2*q**3/3 - q**2 + 5*q - 414. What is h(5)?
45
Suppose -3*x = -x + 5*k + 11, 3*x - 4*k - 18 = 0. Let z be 0/x*(-5)/(-10)*2. Let f(u) = u**3 + u**2 - 2. Calculate f(z).
-2
Suppose -17*p + 7*p + 20 = 0. Let d(v) = 2 + v**3 - 3*v + p*v**2 + 1 + 5 - 5. Let g = -11 + 8. Determine d(g).
3
Let w(d) = 4*d**2 + 5*d - 3. Let s = 5 - 2. Let q(a) = 6*a + 47*a**2 - s + 53*a**2 - 95*a**2. Let m(g) = 3*q(g) - 4*w(g). What is m(-3)?
0
Let l(m) be the first derivative of -m**2/2 - 5*m + 2. Suppose 134 = 5*b + 2*h, 110 = -4*b + 8*b + 3*h. Suppose b*s - 25*s = -9. Calculate l(s).
4
Let n = 263 + -262. Let d(y) = -n + 3 + 5*y + 4*y - 5*y. Determine d(2).
10
Let t(b) = b**2 - b - 4. Let j = 650 + -658. Determine t(j).
68
Let f(j) = j**3 - 10*j**2 + 2*j - 9. Suppose 0 = -5*r - h + 43 + 8, 4*r + 2*h = 42. Calculate f(r).
11
Let z(l) be the third derivative of 0 - 7/6*l**3 + 1/24*l**4 + 76*l**2 + 0*l. Calculate z(5).
-2
Let u(o) be the first derivative of -o**3/3 + 3*o**2 + o - 1. Let z be 9*24/(-126)*7/(-2). Suppose 5*p - 20 = 2*f, 5*f = p - z*p + 55. Determine u(p).
1
Let q(b) = 2*b + 17. Let g = -3118 - -3121. What is q(g)?
23
Let o(g) = -g**3 - 7*g**2 - 6*g - 3. Suppose 70 + 425 = 15*x. Suppose -x = 3*v + 8*v. Let u be 1 + (v - (-12)/(-3)). What is o(u)?
-3
Let c be -1 - 0 - (-1 - -1). Let h(y) be the third derivative of 17*y**6/120 - y**5/60 + y**3/6 + 2*y**2 + 10039. What is h(c)?
-17
Suppose 24 + 12 = -4*x. Let k be 0*(4 + x/2). Let v(s) = -2*s**2 + k*s**3 - s**3 - 2*s**2 - 74*s - 2 + 70*s. What is v(-2)?
-2
Let u = -62 - -64. Let a(k) = 4*k + 0*k - 3*k**u + 0*k**3 + 5 - k**3. Give a(-4).
5
Let x = 137 - 125. Suppose -7*p + 6 = -2*d - 9*p, -x = 4*d - 3*p. Let n(j) = -j**3 - j**2 + 2*j. Give n(d).
12
Suppose 4*r - 68 = -5*u, 5*r + u - 5*u - 44 = 0. Let z be (-1)/6 + (-82)/r. Let b(q) = 5*q + 1 + 2*q - 5*q + 3. Determine b(z).
-10
Let x = -3534 + 3542. Let r(t) = -3*t - 16. Give r(x).
-40
Let n(x) = x**2 - 28*x - 242. Suppose -159 = 15*s - 54. What is n(s)?
3
Let j(o) = 2*o**2 - 1. Let y(t) = t**2 - 6*t + 15. Let x be y(4). Suppose -x*v - 15 = -1. Calculate j(v).
7
Let s be (130/(-25))/((-12)/(-30)). Let v(o) = o**3 + 13*o**2 + 9. What is v(s)?
9
Suppose -8*p - 1 = -6*p + 5*y, 3*p - y + 10 = 0. Let s be (p - 452/(-24)) + 2/12. Suppose 9*o = 7*o + s. Let j(g) = -g**2 + 10*g - 2. Calculate j(o).
14
Let r(t) = 4*t**2 + 12*t - 24. Suppose 10*w - 19*w - 22 - 14 = 0. Calculate r(w).
-8
Let g(o) be the second derivative of 31*o**3/6 + o**2/2 - o + 683. What is g(-3)?
-92
Let r(h) = -28 - 18*h**2 - 93*h + 5*h**2 + 89*h + 12*h**2. Calculate r(0).
-28
Let u = -18 - -19. Let w(d) = -2*d**2 + 0 + 2 - 29*d + u + 37*d. Determine w(6).
-21
Let f(n) = 408*n + 2887. Let r be f(-7). Let k(a) = 4*a - 129. Give k(r).
-5
Let d(i) = i**3 + 7*i**2 + 7*i - 1. Let u(r) = -2*r - 10. Let x(a) = 5*a - 37. Suppose 7 - 28 = -3*y. Let l be x(y). Let t be u(l). Calculate d(t).
-7
Let j(o) = 56*o - 12035. Let r be j(215). Let y(i) be the first derivative of -i**4/4 + 2*i**3 - 4*i**2 + 4*i + 1. Determine y(r).
-11
Let g(v) = 0*v - 4*v + 5*v + 6. Let p(z) = -z**2 - 2*z + 18. Suppose -4*a + 16 = -4*o, -3*o + 8*o = -3*a + 12. Let d be p(a). Give g(d).
0
Let k = 1259 - 1250. Let l(b) = 2*b - 24. Determine l(k).
-6
Let y(a) be the first derivative of -a**2 - a + 88. Let f be ((-18)/(-4))/((-11)/(-22)). Determine y(f).
-19
Let x(q) = -q**2 + 7*q + 22. Let z be x(9). Let w(k) = 9*k + 3*k + z*k + 2 - 17*k. Give w(2).
0
Let p(f) = -f**2 - 1. Let q(o) = -o**2 - 3*o - 2. Let t(n) = 2*p(n) - q(n). Let u(h) = -h**2 - 4*h + 5. Let a = -21 - -17. Let g be u(a). Determine t(g).
-10
Let a be (-2)/(-4) + (480/2640)/((-4)/(-11)). Let h(t) = -61*t + 27*t + 26*t. Calculate h(a).
-8
Let g be -8*(10/(-4) + 2). Suppose 4*u + 3*d + 6 = 1, -8 = g*u + 4*d. Let n(h) = -15*h**2 - h + 1. Determine n(u).
-15
Let s be (0 - 51/(-12)) + (-12)/48. Let u(f) = -52*f + 3 + 52*f - s + 3*f**2. Calculate u(1).
2
Suppose -3*c - 855 = -4*c + 5*i, 0 = -5*c - i + 4197. Let u be (4/(-6))/((-7)/c). Let m be -3*(u/15)/(-4). Let n(b) = -b**2 + 5*b + 2. What is n(m)?
6
Let u(l) = -l - 2. Suppose 3*h = -5*m - 65 + 125, h = -3*m + 24. Let b be ((0 - 1)*-4)/(-11 + h). Determine u(b | {
"pile_set_name": "DM Mathematics"
} |
rime factors of 39044?
2, 43, 227
What are the prime factors of 817?
19, 43
List the prime factors of 1871.
1871
What are the prime factors of 4171?
43, 97
List the prime factors of 333.
3, 37
What are the prime factors of 12158?
2, 6079
What are the prime factors of 29500?
2, 5, 59
What are the prime factors of 15803?
15803
List the prime factors of 49734.
2, 3, 307
What are the prime factors of 2472?
2, 3, 103
List the prime factors of 9188.
2, 2297
List the prime factors of 20206.
2, 10103
What are the prime factors of 1891?
31, 61
List the prime factors of 225.
3, 5
List the prime factors of 107138.
2, 53569
List the prime factors of 342.
2, 3, 19
List the prime factors of 1655.
5, 331
List the prime factors of 1350.
2, 3, 5
What are the prime factors of 6639?
3, 2213
What are the prime factors of 10?
2, 5
What are the prime factors of 6936?
2, 3, 17
What are the prime factors of 1099?
7, 157
What are the prime factors of 2536?
2, 317
What are the prime factors of 26012?
2, 7, 929
List the prime factors of 11697.
3, 7, 557
What are the prime factors of 159?
3, 53
What are the prime factors of 6422?
2, 13, 19
What are the prime factors of 9918?
2, 3, 19, 29
List the prime factors of 24758.
2, 12379
What are the prime factors of 6957?
3, 773
List the prime factors of 7498.
2, 23, 163
What are the prime factors of 116?
2, 29
List the prime factors of 7239.
3, 19, 127
List the prime factors of 11753.
7, 23, 73
List the prime factors of 1031.
1031
List the prime factors of 293.
293
List the prime factors of 2217.
3, 739
What are the prime factors of 13222?
2, 11, 601
What are the prime factors of 2745?
3, 5, 61
What are the prime factors of 31456?
2, 983
What are the prime factors of 14987?
7, 2141
What are the prime factors of 50360?
2, 5, 1259
What are the prime factors of 554?
2, 277
What are the prime factors of 18888?
2, 3, 787
List the prime factors of 614.
2, 307
List the prime factors of 2794.
2, 11, 127
What are the prime factors of 1966?
2, 983
List the prime factors of 2275.
5, 7, 13
List the prime factors of 129342.
2, 3, 21557
What are the prime factors of 1739?
37, 47
What are the prime factors of 64480?
2, 5, 13, 31
What are the prime factors of 3541?
3541
List the prime factors of 679.
7, 97
List the prime factors of 2545.
5, 509
List the prime factors of 927.
3, 103
What are the prime factors of 1343?
17, 79
What are the prime factors of 6115?
5, 1223
What are the prime factors of 112755?
3, 5, 7517
What are the prime factors of 8931?
3, 13, 229
What are the prime factors of 788?
2, 197
List the prime factors of 4361.
7, 89
What are the prime factors of 846?
2, 3, 47
What are the prime factors of 14014?
2, 7, 11, 13
List the prime factors of 541.
541
List the prime factors of 95426.
2, 47713
What are the prime factors of 10243?
10243
List the prime factors of 2248.
2, 281
List the prime factors of 81994.
2, 11, 3727
List the prime factors of 58920.
2, 3, 5, 491
List the prime factors of 1392.
2, 3, 29
What are the prime factors of 81?
3
What are the prime factors of 2855?
5, 571
What are the prime factors of 9130?
2, 5, 11, 83
List the prime factors of 72116.
2, 11, 149
List the prime factors of 179534.
2, 89767
List the prime factors of 90721.
257, 353
What are the prime factors of 23848?
2, 11, 271
List the prime factors of 4878.
2, 3, 271
What are the prime factors of 4240?
2, 5, 53
List the prime factors of 1605.
3, 5, 107
What are the prime factors of 17059?
7, 2437
List the prime factors of 63504.
2, 3, 7
What are the prime factors of 78276?
2, 3, 11, 593
List the prime factors of 115449.
3, 29, 1327
List the prime factors of 961.
31
What are the prime factors of 18092?
2, 4523
List the prime factors of 10057.
89, 113
List the prime factors of 1315.
5, 263
List the prime factors of 2521.
2521
What are the prime factors of 24404?
2, 6101
List the prime factors of 23087.
23087
What are the prime factors of 3961?
17, 233
List the prime factors of 3716.
2, 929
What are the prime factors of 80193?
3, 26731
What are the prime factors of 3778?
2, 1889
List the prime factors of 66098.
2, 33049
What are the prime factors of 44?
2, 11
What are the prime factors of 11424?
2, 3, 7, 17
What are the prime factors of 8886?
2, 3, 1481
List the prime factors of 26952.
2, 3, 1123
What are the prime factors of 45410?
2, 5, 19, 239
List the prime factors of 4266.
2, 3, 79
What are the prime factors of 1207?
17, 71
What are the prime factors of 17896?
2, 2237
What are the prime factors of 1266?
2, 3, 211
What are the prime factors of 695?
5, 139
What are the prime factors of 328?
2, 41
What are the prime factors of 1403?
23, 61
List the prime factors of 204.
2, 3, 17
List the prime factors of 2792.
2, 349
List the prime factors of 51222.
2, 3, 8537
List the prime factors of 9724.
2, 11, 13, 17
What are the prime factors of 1372?
2, 7
What are the prime factors of 48478?
2, 24239
List the prime factors of 2341.
2341
List the prime factors of 2543.
2543
What are the prime factors of 19252?
2, 4813
List the prime factors of 48.
2, 3
What are the prime factors of 2542?
2, 31, 41
What are the prime factors of 21705?
3, 5, 1447
What are the prime factors of 77886?
2, 3, 4327
List the prime factors of 83411.
239, 349
List the prime factors of 9106.
2, 29, 157
List the prime factors of 60159.
3, 11, 1823
What are the prime factors of 19224?
2, 3, 89
What are the prime factors of 1604?
2, 401
List the prime factors of 1778.
2, 7, 127
What are the prime factors of 3728?
2, 233
What are the prime factors of 5450?
2, 5, 109
What are the prime factors of 14209?
13, 1093
What are the prime factors of 103?
103
List the prime factors of 10840.
2, 5, 271
What are the prime factors of 12571?
13, 967
What are the prime factors of 24085?
5, 4817
List the prime factors of 4942.
2, 7, 353
What are the prime factors of 169?
13
List the prime factors of 402.
2, 3, 67
What are the prime factors of 14273?
7, 2039
What are the prime factors of 10464?
2, 3, 109
What are the prime factors of 629?
17, 37
What are the prime factors of 11582?
2, 5791
List the prime factors of 1494.
2, 3, 83
List the prime factors of 2554.
2, 1277
What are the prime factors of 18715?
5, 19, 197
What are the prime factors of 828?
2, 3, 23
List the prime factors of 948.
2, 3, 79
What are the prime factors of 1578?
2, 3, 263
List the prime factors of 827.
827
What are the prime factors of 99843?
3, 23, 1447
What are the prime factors of 34738?
2, 11, 1579
What are the prime factors of 4119?
3, 1373
List the prime factors of 7026.
2, 3, 1171
What are the prime factors of 879?
3, 293
List the prime factors of 3534.
2, 3, 19, 31
List the prime factors of 1478.
2, 739
List the prime factors of 8037.
3, 19, 47
List the prime factors of 24363.
3, 2707
List the prime factors of 680.
2, 5, 17
List the prime factors of 17171.
7, 11, 223
What are the prime factors of 474?
2, 3, 79
List the prime factors of 14415.
3, 5, 31
List the prime factors of 3625.
5, 29
List the prime factors of 14331.
3, 17, 281
What are the prime factors of 33532?
2, 83, 101
What are the prime factors of 5545?
5, 1109
What are the prime factors of 4073?
4073
List the prime factors of 3882.
2, 3, 647
List the prime factors of 3253.
3253
List the prime factors of 127.
127
What are the prime factors of 23309?
11, 13, 163
What are the prime factors of 1213?
1213
What are the prime factors of 899?
29, 31
What are the prime factors of 182?
2, 7, 13
What are the prime factors of 37814?
2, 7, 37, 73
What are the prime factors of 39635?
5, 7927
What are the prime factors of 1145?
5, 229
List the prime factors of 29416.
2, 3677
List the prime factors of 3253.
3253
What are the prime factors of 567?
3, 7
What are the prime factors of 62580?
2, 3, 5, 7, 149
List the prime factors of 101826.
2, 3, 5657
What are the prime factors of 1297?
1297
What are the prime factors of 1096?
2, 137
List the prime factors of 14715.
3, 5, 109
What are the prime factors of 2847?
3, 13, 73
What are the prime factors of 1938?
2, 3, 17, 19
List the prime factors of 882.
2, 3, 7
List the prime factors of 10000.
2, 5
List the prime factors of 1687.
7, 241
List the prime factors of 3501.
3, 389
What are the prime factors of 5530?
2, 5, 7, 79
List the prime fac | {
"pile_set_name": "DM Mathematics"
} |
-13)) assuming p is positive.
p**(-2127/73)
Simplify u/(((u*u**(-27)/u)/u)/u)*u/(u*u/u**(2/63))*(u**(-12))**(-37) assuming u is positive.
u**(29801/63)
Simplify f*f**(-1/7)*f*f*f**(-6/5)/f*f/f**(-2/41)*(f*f/f**(-1/10))/f assuming f is positive.
f**(8053/2870)
Simplify (((r**3/r)**(-28))**25)**(7/5) assuming r is positive.
r**(-1960)
Simplify (((p*p**(-1)/p)**3)**40)**(9/7) assuming p is positive.
p**(-1080/7)
Simplify k*k/((k*(k/k**(-6/11)*k)/k)/k)*(k/(k/(k/k**18)))/k*k**6/k**(-1/10) assuming k is positive.
k**(-1259/110)
Simplify d**3*d/d**(6/11)*(d/(d**(1/3)*d*d))**(1/5) assuming d is positive.
d**(526/165)
Simplify ((o**1)**(-2/13)/((((o/(o/o**(1/3)))/o)/o)/(o*o**6)))**(-36) assuming o is positive.
o**(-3984/13)
Simplify ((m/m**(-1/7)*m**(-1)/m)/((m/m**3)/(m**(1/8)/m*m)))**(-1/16) assuming m is positive.
m**(-71/896)
Simplify (x**(-1/4))**(-8/9)*(x*x**(2/3))**(-41) assuming x is positive.
x**(-613/9)
Simplify (l/(l*l/l**2)*l*l/l**(7/3))/(l/((l*l**(-9/2)/l)/l*l)*l*(l/(l**(-4/7)*l))/l) assuming l is positive.
l**(-227/42)
Simplify (j*(j*(j/(j*j**(-1/3)*j))/j)/j)**40/(j/j**0)**8 assuming j is positive.
j**(-104/3)
Simplify (x**(-2/11))**(2/43)/(x**(-1/2))**(2/9) assuming x is positive.
x**(437/4257)
Simplify (m**(2/21)*(m/(((m*(m*((m/(m*m**9)*m*m)/m*m)/m*m)/m)/m)/m))/m*m*m**4*m/(m**(-5)/m))**17 assuming m is positive.
m**(7174/21)
Simplify ((((y/(y/y**(-1/12))*y)/y)/(y**(-7/2)/y))/(y**(3/2))**(-33))**(-3) assuming y is positive.
y**(-647/4)
Simplify ((f*f**(-9/2))/(f/f**16))/(f/(f*f/(f/(f*f**16/f)))*f*f/f**(-8)) assuming f is positive.
f**(35/2)
Simplify (j**(-4)*j**(5/13)/j)/(j**(-1/22)/(j*j**(-12)*j)) assuming j is positive.
j**(-4167/286)
Simplify ((f**(1/3))**(-10/3))**(-2/55) assuming f is positive.
f**(4/99)
Simplify (g/(g/((g**(-17)*g)/g))*(g*g/((g**(-6/11)*g)/g*g))/g)**(-14/3) assuming g is positive.
g**(2534/33)
Simplify ((y/(y**(3/4)*y)*y)/((y/(y*((y*y*y**0*y)/y)/y))/y)*(y/(y**1/y))**(2/9))**(4/39) assuming y is positive.
y**(89/351)
Simplify (d**(3/5)/d*d)**(-21/2)*(d**(-6/5))**(1/3) assuming d is positive.
d**(-67/10)
Simplify ((z*z*z/z**(4/9))**(-2/113))**(2/117) assuming z is positive.
z**(-92/118989)
Simplify (o**(2/11)*o**(-8))/(o*(o*o/(o**(2/7)/o)*o)/o)**25 assuming o is positive.
o**(-7752/77)
Simplify v**15/(((v/(v/v**(19/2)))/v*v)/v)*(v**(1/10))**(1/9) assuming v is positive.
v**(293/45)
Simplify (b/(b*b/b**(-2/11)))**(-30)*((b*b*b/(b**(2/3)/b))/b*b)/(b*b*b**(14/5)) assuming b is positive.
b**(5608/165)
Simplify i**(-2/7)*i**17*i/(i/((i/i**0*i)/i))*i*i*(i/i**(-20/3))/i*i assuming i is positive.
i**(575/21)
Simplify (p/(p*p*p**(-10)/p))/p*p/(p/(p**(-1/4)*p))*(p/(p/((p**(-11)*p)/p)*p)*p)/((p*p*(p*p**(-2))/p)/p*p) assuming p is positive.
p**(-5/4)
Simplify (j**(2/53)*j*j*j*j/(j/(j**(3/5)/j)*j))/((j**10*j)/j*j*j**(10/3)) assuming j is positive.
j**(-10093/795)
Simplify (z**(5/4)/z)**(-6/25)*(z/z**(-1/2))**(11/7) assuming z is positive.
z**(402/175)
Simplify (u**(-5)*u)**(-38)*(u/u**(-1/3))/u**(-2/9) assuming u is positive.
u**(1382/9)
Simplify (((i**(1/10)*i)/(i*i*i/(i/i**(-3/7))))**(4/5))**32 assuming i is positive.
i**(-2112/175)
Simplify (t**(-3/4)*t)**(13/2)/(t**(-25)*t*t/(t/t**(-2/13))) assuming t is positive.
t**(2681/104)
Simplify (f*f/((f/(f**(1/49)*f))/f)*f**13)**(-38) assuming f is positive.
f**(-29830/49)
Simplify ((l/((l/(l**4/l))/l)*l)/(l*l**(2/7)))/(l**(-10)*l*l**9/l*l) assuming l is positive.
l**(26/7)
Simplify ((z/z**(-1)*z)**46/(z**(2/9)*z*z*z**(1/5)))**9 assuming z is positive.
z**(6101/5)
Simplify (d*(d**(-45)/d)/d*d*d**(-41))**(-17) assuming d is positive.
d**1462
Simplify (a**(-10)/a*a*a**(2/3)/a*a)/(a*a/((a**(-1/10)*a)/a)*a*a/a**7) assuming a is positive.
a**(-193/30)
Simplify (v**15/v)/v**33*(v**(-2/9))**(-16/7) assuming v is positive.
v**(-1165/63)
Simplify n*n*n/(n**(3/8)*n)*n*n*n**(-10)*n*n*n**2*(n/(n/(n*n**(5/3)*n)))/n assuming n is positive.
n**(7/24)
Simplify ((t*t/(t**(-3)*t)*t*(t/((t/((t/(t*t**(-20/3)*t))/t))/t))/t*t)**(-29))**(-13/5) assuming t is positive.
t**(12064/15)
Simplify (((h/(h*h**(-1/13)))/h**9)**(-15))**(2/19) assuming h is positive.
h**(3480/247)
Simplify d*d*d**(-18)*d**(-14)/d*d**14*d/(d/d**(-4/9))*d assuming d is positive.
d**(-148/9)
Simplify (d/d**(-3/4))/((d**(-3)/d*d)/d)*d**(2/21)*d*d**(-2) assuming d is positive.
d**(407/84)
Simplify t**(-18)*t*t**(-4)*((t*t/t**(-1/3)*t)/t)**(9/10) assuming t is positive.
t**(-189/10)
Simplify (k**(-1/15)*k)/(k*k/k**(6/19)*k*k)*k*k*(k**(-18)*k)/k*k**(2/3) assuming k is positive.
k**(-1718/95)
Simplify (t**(3/7)*t**(4/3))/(t**1*t**(2/5)*t) assuming t is positive.
t**(-67/105)
Simplify ((((n/n**(-2))/n)**1)**(-5))**(5/9) assuming n is positive.
n**(-50/9)
Simplify (q**(-2)/q)**44/(q**8/q**(-9)) assuming q is positive.
q**(-149)
Simplify ((o**(2/3))**(-19/3)*(o*o**1)/o**(-1/4))**(11/3) assuming o is positive.
o**(-781/108)
Simplify (u**10*u/u**(2/9))/(u**(-9)/u**(-15)) assuming u is positive.
u**(43/9)
Simplify ((y**(-1/3)/(y/(y*y/(y*(y*y/(y**(2/9)*y))/y)*y)))/((y/(y*y**(-2/7)))/y)**(-1/31))**11 assuming y is positive.
y**(18601/1953)
Simplify (z*z*(z*z/(z/z**26))/z*z*z/((z*z**(-2)/z)/z*z))**(-6) assuming z is positive.
z**(-192)
Simplify (b**(-2/3)*b**(-2/17))/(b**(1/25)/b**(-7)) assuming b is positive.
b**(-9976/1275)
Simplify ((k*k/((k/(k*k**5))/k))/k**9)/(k**(3/14)/k**6) assuming k is positive.
k**(67/14)
Simplify (t*(t/(t*t**7))/t)**(-20)/(t**(-4)/t**(-4)) assuming t is positive.
t**140
Simplify ((s**(-2/3))**30/(s**2/s)**10)**(-12/11) assuming s is positive.
s**(360/11)
Simplify ((i**(-3/16)*i**(-1/9)*i)**(-2/51))**50 assuming i is positive.
i**(-2525/1836)
Simplify h**8*h**(6/7)*h**(-2/19)*h**(5/6) assuming h is positive.
h**(7649/798)
Simplify (((k*k/(k**(2/23)*k)*k)/k**4)/(k*k*k**(-1/3)*k)**(-11))**(-29) assuming k is positive.
k**(-54520/69)
Simplify ((o**(-1/2))**(2/19)*(o**1)**(-13/4))**(-1/34) assuming o is positive.
o**(251/2584)
Simplify ((t**(3/7))**(5/8)/(t*t/(t**(-6)*t)*t**(-1/3)*t))**(-14) assuming t is positive.
t**(1243/12)
Simplify (g*g**(4/5)*g**(1/4)/g)/(g/((g*g/g**(-2/19))/g)*g**(-25)) assuming g is positive.
g**(9939/380)
Simplify (k**(-7)/k**11*(k**(1/5)/k)**(-30))**(-3/13) assuming k is positive.
k**(-18/13)
Simplify (m*m**(-7)/m)/(m**(3/16)*m)*((m/m**18)/m*m)/(m/(m**4/m)) assuming m is positive.
m**(-371/16)
Simplify g**(-9)/(g*g**13)*g**(-3/2)*g**(1/21) assuming g is positive.
g**(-1027/42)
Simplify (l/(l*l*l**12)*l*l/(l*l**(-8/5)/l))/(l**(2/19)/l**(-9)) assuming l is positive.
l**(-1758/95)
Simplify ((f**(6/7)*f)/f)/(f*f/f**2)*f**8*f**(-10) assuming f is positive.
f**(-8/7)
Simplify (a**(-14)/(a*a**(-1/20)/a))/(a*a*a**5)**4 assuming a is positive.
a**(-839/20)
Simplify m/(m*m*m/((m**(-9)*m*m*m)/m)*m)*m*m**(-2/25)/m*(m/(m/(m*m**(6/19))))/m*m*m**(-7/5) assuming m is positive.
m**(-4828/475)
Simplify ((d*d**4*d*d)/(d*d**(4/5)))/(d*d**3)**(12/5) assuming d is positive.
d**(-22/5)
Simplify (l**(-4/7))**(-2/5)/(l**13*l**(3/8)) assuming l is positive.
l**(-3681/280)
Simplify (d*d/(d**(-1)/d)*d)**(1/19)*d**(-1/32)/(d*(d/d**(-4/13))/d) assuming d is positive.
d**(-8503/7904)
Simplify ((o**(-16))**(-3/19))**(-8/3) assuming o is positive.
o**(-128/19)
Simplify j**(-22)/(j*j**33/j*j*j)*(((j*j**17)/j)/j)**(-3/8) assuming j is positive.
j**(-63)
Simplify (u*u**15)/(u*u*u**(-17)/u*u)*(u/u**15)/(u*u/(u*u**(2/3)*u*u)) assuming u is positive.
u**(56/3)
Simplify (s**(-2/7)*s**(-3/8)*s*s*s*s*s*s**0*s*s*s*s*(s*(s**(-3/8)*s)/s)/s)**(13/4) assuming s is positive.
s**(2899/112)
Simplify ((((v*v*v*v**(-1/7))/v)/(v**(-1/3)*v*v))/(v**(2/17)/(v**(-5)/v)))**(-11) assuming v is positive.
v**(23276/357)
Simplify ((n/n**(-2/67))**(-46))**32 assuming n is positive.
n**(-101568/67)
Simplify o**(-20)*o**(-12)*((o/o**(1/16))/o)/(o*o**0*o) assuming o is positive.
o**(-545/16)
Simplify ((b/(b*(b/(b**(-3/8)/b))/b*b))/(b/b**(-32)))/(b**(2/37)*b*b/(b*b/((b/((b**(14/5)*b)/b))/b))) assuming b is positive.
b**(-48291/1480)
Simplify (((((q/((q*q/(q/(((q/((q/(q/(q*q**(2/15))*q*q))/q))/q)/q)))/q))/q)/q)/q**(7/5))**(-12/13))**21 assuming q is positive.
q**(4116/65)
Simplify ((d*d**(2/7)*d*d)/d*d*d)**(-5/12)*(d/(d**26*d))/(d*d**(-6)) assuming d is positive.
d**(-319/14)
Simplify (c**(-25))**(3/4)*c**(-33)/(c*c**(10/3)) assuming c is positive.
c**(-673/12)
Si | {
"pile_set_name": "DM Mathematics"
} |
92*g - 4483*g + 1495*g + 5 + 0. Let f = 1 + -3. Determine q(f).
-5
Let c(d) be the third derivative of -d**6/120 + d**5/30 + 3*d**4/8 - 4*d**3/3 + 12132*d**2. Determine c(4).
-4
Let r(x) = 5*x - 6. Suppose 0 = -3*b, 4*s - 15*b + 19*b = 24. Determine r(s).
24
Let b be (66/(-18))/(2/6). Let o = 10 + b. Let x(a) be the second derivative of 3*a**5/20 + a**4/12 - a**3/6 - a**2/2 - 10*a + 5. Give x(o).
-2
Let q(n) = -n**3 + 3*n**2 + 4*n + 2. Let k(d) = -d + 87. Let c be k(47). Suppose -2*w + c = 8*w. Calculate q(w).
2
Let h(q) = -5*q + 42. Let t be h(8). Let f(m) = -9*m**2 + 37*m**2 - 21*m**t + m - m**3 - 6. What is f(7)?
1
Let x be (1/8)/((-333)/(-666)). Let p(u) be the first derivative of 0*u**2 - 1/3*u**3 + 10 - x*u**4 + 2*u. Determine p(0).
2
Let t(x) = -x - 7. Let g be (5/15)/((-4)/(-12)) - -503. Suppose 7*k = g - 112. Let a = -56 + k. What is t(a)?
-7
Let k(s) = 0 - s**2 - 1 + 3 - 11 + 11*s - 8. Determine k(11).
-17
Let m(j) be the second derivative of j**4/12 + 3*j**3 + 79*j**2/2 - 2413*j. Give m(-10).
-1
Let p(w) = -w**2 + 41 - 2*w - 5*w**2 - 89 + 42 + 4*w**2. Determine p(-2).
-10
Let t be ((-2)/4 + 1)*-30. Let b = 404 + -412. Let w be (-2 + 44/b)*12/t. Let c(d) = -d + 12. What is c(w)?
6
Let c(x) = 54 + x**2 + 116*x - 28*x - 35*x - 39*x - 28*x. Calculate c(8).
6
Let h be (70/(-6))/((-32)/96). Let r(w) = -w**2 + 33*w + 73. What is r(h)?
3
Suppose -4*c = -2*a - 12, -5*a - 29 = c + 1. Let n(f) = f**2 + 3*f - 13. Determine n(a).
5
Let s(l) = -l**3 + 14*l**2 - 3*l + 5. Let y = -2372 + 2386. Determine s(y).
-37
Let l(s) = s**3 + 7*s**2 + 6*s + 5. Suppose -8*f - 643 = -603. What is l(f)?
25
Let g(y) = y**3 + 5*y**2 - 8*y - 6. Let a be 24/4 + -18 - (-4 + -2). Calculate g(a).
6
Let k(v) = -2*v + 6. Let d(x) = 2*x - 5. Let p(l) = 7*d(l) + 6*k(l). Let y = -11 - 88. Let j = y - -96. Determine p(j).
-5
Suppose 4*r + 4*a = -12, 2*r + 10 = 2*a + 4. Let v be -19*r/9 + (-12)/(-18). Let k(b) = -b**2 + 9*b - 7. Give k(v).
7
Let f(s) = -15*s - 42. Let x(k) = -31*k - 63. Let i(g) = 8*f(g) - 5*x(g). Determine i(1).
14
Let j be (3/(-3))/(((-72)/(-152))/9). Let r(s) be the second derivative of -s**4/12 - 10*s**3/3 - 11*s**2/2 - s + 3. What is r(j)?
8
Let t = -280 - -282. Let j(y) = y**t - 1 - 16*y**2 + 4*y**3 + 2*y + 14*y**2. What is j(1)?
4
Let d(u) = u**3 + 10*u**2 + 14*u + 9. Let r be d(-7). Suppose -8*a - 62 = r. Let m(q) = q + 9. What is m(a)?
-6
Suppose -3*w + 2*w = 3. Let c(a) be the third derivative of -a**5/10 - 5*a**4/24 - 2*a**3/3 - 35*a**2 + a + 88. Determine c(w).
-43
Let h(r) = -r**3 - 5*r**2 + 7*r + 2. Let k(o) = 4419 + 2*o**3 - 3*o**3 + 13*o**2 - 4425. Let a be k(13). What is h(a)?
-4
Suppose -217 = -85*m + 123. Let l(r) = 1 - 5*r - 3 + 6*r. What is l(m)?
2
Suppose 2*k = 2*i - 48, 4*i - 9*k = -12*k + 75. Let c(s) = -s**3 + 19*s**2 + 44*s - 32. Calculate c(i).
10
Let w(c) = -c**3 - c**2 + 7*c - 5. Let r(p) = -17*p - 68. Let q be r(-5). Let h(j) = -3*j**3 - 2*j**2 + 21*j - 15. Let b(y) = q*w(y) - 6*h(y). What is b(6)?
-1
Let i(f) be the third derivative of -1/6*f**5 - 145*f**2 + 0*f + 1/120*f**6 + 3/8*f**4 - 5/6*f**3 + 0. Calculate i(9).
-5
Let o be 1/(12/8)*-3. Let r(n) = n**2. Let s(a) = 5*a**2 + 3*a + 2. Let x(h) = 3*r(h) - s(h). What is x(o)?
-4
Let m(u) = 195*u + 200*u + 207*u - 57 - 613*u. Give m(-5).
-2
Let b(j) = 2*j**3 - 10*j**2 - 15*j + 17. Let f(i) = 114*i - 1248. Let z be f(11). Calculate b(z).
-1
Suppose -4 - 8 = -3*z. Suppose 0*j = 5*s + z*j - 13, 2*j - 7 = -3*s. Let y(m) = -m + 8 + s - 4 + 2. Give y(-5).
12
Suppose 0 = -228*g + 226*g + 6. Let l(p) = g*p**2 + 0*p**2 - 4*p**2 + p**2 - 2 + p**2 + p. Let a = 5 + -2. Give l(a).
10
Let u(m) = 5*m - 7. Let q be (-114 - -114) + (6/(-7))/(3/21). Determine u(q).
-37
Let g(h) = 13 - 1960180*h + 1960181*h + 7. What is g(-22)?
-2
Let p(x) = 2*x**2 - 2*x - 3. Let v(j) = -2*j - 4. Let t(s) = 8*s + 17. Let n(c) = 2*t(c) + 9*v(c). Let w(g) = n(g) - p(g). Let y be 3 + (-2)/(2/2). Give w(y).
-1
Let b(h) = -20*h + 5. Let x(m) = 144*m - 32. Let k(d) = -22*b(d) - 3*x(d). Determine k(2).
2
Let h(f) be the first derivative of f**5/20 - f**4/4 + f**3/3 + 2*f**2 + 20*f + 32. Let u(z) be the first derivative of h(z). Calculate u(3).
10
Let x(k) = 13*k**2 - 2*k + 13. Let a(s) = -s - 144 + 0*s**2 + 4*s**2 + 148. Let d(p) = 7*a(p) - 2*x(p). Let l be (-1 - 2/(-4))*-4. Determine d(l).
4
Let o(y) be the third derivative of y**6/120 + 13*y**5/60 + y**4/2 + 7*y**3/3 - 373*y**2 + 3. Give o(-12).
14
Let f(h) = h**3 - 7*h**2 - 8*h + 11. Let m(j) = 9*j**3 + 3*j**2 - 3*j + 2. Let y be m(2). Suppose 86*b - 48 = y*b. Give f(b).
11
Let l(m) = -m**3 + 17*m**2 + 20*m - 40. Suppose -3312 = -162*z - 22*z. Give l(z).
-4
Let c(m) = -16*m - 2. Suppose 3*r = -2*a - 5, 4 = -63*a + 64*a - 5*r. Calculate c(a).
14
Let o(x) = -x + 8. Suppose -k = -5*d - 321, 2*k = 4*d + 115 + 143. Let a = -58 - d. Calculate o(a).
2
Let i(d) be the first derivative of 128*d**3 + 91 - d**2 - 18 - 74*d**3 + 2*d - 66*d**3 - d. What is i(1)?
-37
Let x(y) = -6*y**2 + 55 - 51 - 2*y - 2*y**3 + 6*y - 12*y. Calculate x(-3).
28
Let u(d) be the second derivative of -d**5/20 - 19*d**4/12 + 5*d**3/2 - 54*d**2 - 116*d - 2. Calculate u(-20).
-8
Suppose -b = b - 4. Suppose 0*w = -b*w - 8. Let h(a) = 435*a + 3*a**2 + 464*a + a**3 + 2 - 902*a. Determine h(w).
-2
Let b(s) = 2*s**2 + 2*s - 8. Let f be b(2). Suppose -6*j = f*j + 150. Let m be (-80)/j - 1/3. Let x(l) = l - 6. Give x(m).
-1
Let d = -812 + 813. Let p(a) = -a**3 - 5*a - 2. Let k(u) = -u**3 - 2*u - 1. Let h(c) = 9*k(c) - 4*p(c). Determine h(d).
-4
Suppose 0 = 97*x - 103*x + 2118. Suppose -27*d - 110 + x = 0. Let y(w) = 2*w - 13. Determine y(d).
5
Let x(j) = -3*j**2 - 2*j + 3. Let r = 36 - 35. Let i be 1 - (-1 - 0) - -2. Let h(z) = z**2 - z + 1. Let q(n) = i*h(n) + r*x(n). Calculate q(5).
2
Let m(w) = -3*w**2 + 3*w - 9. Let a be (147/441)/(2/18). Give m(a).
-27
Let w(k) be the third derivative of -5*k**4/24 + k**3/2 - k**2. Let v be w(2). Let p(h) = -225 + 400 - h + 47 - 228. What is p(v)?
1
Let u be 48/32*3/(9/4). Suppose -4*p = -0*a + a - 37, u*p = 5*a + 13. Suppose -2*o = -p*o. Let y(x) = -x + 15. What is y(o)?
15
Let z(p) be the second derivative of -p**4/12 + 5*p**3/3 + 9*p**2/2 + 988*p. Determine z(12).
-15
Suppose 0*z - 9 = l - z, 0 = 4*l + 5*z - 9. Let a(r) be the third derivative of -r**6/120 - r**5/60 + r**4/4 + 2*r**3/3 - 1708*r**2. Calculate a(l).
28
Let a(r) = 59 + 60 - 5*r + r**2 + 14*r - 114. Calculate a(-9).
5
Let a(s) = -s**3 + 24*s**2 - 26*s + 84. Let y be a(23). Let q be y/(-2)*56/(-70) + 1. Let b(k) = k**3 - 6*k**2 - 10*k + 8. Determine b(q).
-13
Let l = -54 + 59. Suppose -25 + 180 = l*y. Suppose -26*d = -y*d. Let h(j) = -j**2 - 1. Determine h(d).
-1
Let v = 16886/9 + -16874/9. Let a(i) be the second derivative of -v*i**3 + 1/20*i**5 + 8*i + 0 - 3/4*i**4 - 11/2*i**2. Give a(10).
9
Let o(a) = -a**2 + a + 4. Suppose 6 = -3*w, -5*m + w = -27 - 295. Let l be 0/(3 - m/8). Calculate o(l).
4
Let w(d) = d + 38. Let h be w(-47). Let l(q) = q**3 + 6*q**2 - 30*q - 24. What is l(h)?
3
Let h = 63 - 55. Suppose -5*d - 3*r + 2 = 38, h = -d - r. Let y(k) = -3*k - 7. What is y(d)?
11
Let d(r) = 4*r**2 + 11*r + 6. Let s(f) = -14*f**2 - 42*f - 24. Let x(j) = 11*d(j) + 3*s(j). What is x(-1)?
1
Let d(z) = -2*z**3 + 3*z**2 - 13*z + 91. Let l(m) = 3*m**3 - 5*m**2 + 22*m - 181. Let n(i) = -5*d(i) - 3*l(i). Calculate n(0).
88
Let a(l) = 3*l + 7. Let j = 120 + -56. Let g = -34 + j. Let z = 24 - g. Determine a(z).
-11
Let d(x) = 8*x**3 + 2*x**2 + x. Let p be d(-1). Let z be p/(21/36)*1/(-3). Let m(h) = -h**3 + 7*h**2 - 4*h - 5. What is m(z)?
27
Let v(n) = -4*n + 9. Suppose 1 = -4*w - 2*p - 3*p, -4*w + 5*p + 9 = 0. Let j be 686/168 - w/12. Determine v(j).
-7
Let l(a) be the second derivative of 0 + 4*a**2 + 48*a + 1/6*a**3. Suppose -27 = -4*c - 3. Determine l(c).
14
Let z(d) = d**3 - 21*d**2 - 26*d + 57. Suppose -1364 = -3896*c + 3834*c. Determine z(c).
-31
Let h(b) = b**3 - 9*b**2 + 9*b + 39. Let o be h(7). Let y(n) = 2*n**2 - 8*n - 2. Give y(o).
-2
Let w(t) be the second derivative of t**3/6 - 4*t**2 + 3*t. Let k be w(9). Let i(f) be the first derivative of 3*f**4/2 - f**3/3 + 258. Determine i(k).
5
Let i(z) = 124*z - 148*z + 26 + 38*z**2 - 37*z**2. What is i(23)?
3
Let p(f) = -4*f + 13. Suppose 15*w - 19*w = 15*w - 76 | {
"pile_set_name": "DM Mathematics"
} |
j)/(j/(j*j/(j/(j/(j*j**(-1/2)))))))/(((j/j**(-5/4)*j)/j)/j*j**1))**10 assuming j is positive.
j**(-215/26)
Simplify ((x**(1/7)/((((x/(x/(x*x**(-10)))*x)/x)/x)/x))/(x*x**(1/9))**(-36))**(-6/13) assuming x is positive.
x**(-2148/91)
Simplify (d/((d*d/(d/(d/(d**(1/5)/d))))/d)*d**(3/2))/(d**11/(d/((d/(d*(d*d**(-1)/d)/d))/d))) assuming d is positive.
d**(-103/10)
Simplify d**(-3)*d**(-2/9)*d/d**8*d/(((d/(d*d/(d**(-1)/d)*d))/d)/d) assuming d is positive.
d**(-29/9)
Simplify (((g/g**(-1/26))/g)/g)**(-1/6)*(g**17)**(-3/5) assuming g is positive.
g**(-7831/780)
Simplify (j*j**(2/25))**(-33)*j**10*j**(-4/5) assuming j is positive.
j**(-661/25)
Simplify (n**3)**(-23/3)/((n/n**3)/n)**16 assuming n is positive.
n**25
Simplify ((n**(-2/31)/(n*n**(-1/10)))**(1/15))**(-9/10) assuming n is positive.
n**(897/15500)
Simplify (((x/(x/((x**(-9)/x*x)/x)))/(x*x/(x/(x*x**9))*x))/(x**0/x*x)**(1/30))**(-5) assuming x is positive.
x**110
Simplify (q/(q*q*q/q**(-3/5)*q)*q*q*q**12)/(q**(-2))**14 assuming q is positive.
q**(192/5)
Simplify u**(1/22)/u**14*u/(u/u**(-3))*u*u**15*u assuming u is positive.
u**(1/22)
Simplify (p/(p/(p/(p/p**(2/5)*p))))**(-10/3)/((p*p*p**(-1/10)*p)/p)**(-7/5) assuming p is positive.
p**(233/50)
Simplify (q*q**(-3)*q)**(-1/17)/(q**(2/5)/q)**(-25) assuming q is positive.
q**(-254/17)
Simplify (((x/(x*x*x/x**(3/8)*x*x*x))/x**(-3/8))**(-10/9))**(-2/31) assuming x is positive.
x**(-85/279)
Simplify ((c**(1/5)*c**14)**(3/23))**(1/52) assuming c is positive.
c**(213/5980)
Simplify ((a/a**(-1/5))/a**17)/((a*a**(-3/4))/a**(1/8)) assuming a is positive.
a**(-637/40)
Simplify t**15/t*t**(-4)*t**(-8/5)/(t**1/t) assuming t is positive.
t**(42/5)
Simplify (((v*v**(-18)*v)/(v**(-3/7)*v))**(4/17))**(-48) assuming v is positive.
v**(22272/119)
Simplify p**(7/3)*p**(5/4)*p**(5/2)*p*p/p**25 assuming p is positive.
p**(-203/12)
Simplify (u/u**(-2/3))**(-4/13)*u/(u*u**(-9/4))*u**(2/25) assuming u is positive.
u**(7087/3900)
Simplify ((h/(h**(-7/6)/h))/h)**(-6/31)/(h**(2/75)/((h**31*h)/h)) assuming h is positive.
h**(71038/2325)
Simplify (n/n**(-2/5))**43/(n**(-4/5)*n*n)**(-40) assuming n is positive.
n**(541/5)
Simplify (w/w**(2/87))**(-41)*w**(-1/19)/w*(w**(-4/15)/w)/w assuming w is positive.
w**(-119503/2755)
Simplify v**6*v**(-35)*(v*v**(8/3))/(v*v**(-11/5)) assuming v is positive.
v**(-362/15)
Simplify (g/((g*g**4*g)/g)*g*g**(8/5))/(g/g**(-2/93)*g**24) assuming g is positive.
g**(-12286/465)
Simplify (b/(b*b*b/b**(-1/4)))**(-13/6)/(b/b**2*(b/b**(-7/6))/b) assuming b is positive.
b**(113/24)
Simplify (j**(-18)/j)/(j**(-6)*j)*(j/(j*(j**(-5)*j)/j))/(j**8/j) assuming j is positive.
j**(-16)
Simplify (z**(1/6))**41/(z**(1/7))**(-1/15) assuming z is positive.
z**(479/70)
Simplify c**(-10)*c*c**1*(c**3)**(-5/3) assuming c is positive.
c**(-13)
Simplify w**18/w**20*(w**(-2))**(-1/49) assuming w is positive.
w**(-96/49)
Simplify ((p**(2/9)/p**(-1/7))/(p**5*p*p**(1/8)*p))**(-4/41) assuming p is positive.
p**(3407/5166)
Simplify (h**(-2/25)/h)**(-13/3)*(h**(-13)*h)/(h/h**(-9)) assuming h is positive.
h**(-433/25)
Simplify (((d**(-1/2)/d*d)/d**(-2/11))/(d**(-1/2))**26)**(-1/26) assuming d is positive.
d**(-279/572)
Simplify (z**(-16)/z**(-1))/((z*z/(z*z/(z*z/(z*(z*z**(3/10)/z*z)/z))*z)*z)/((z*z**(2/37))/z)) assuming z is positive.
z**(-5789/370)
Simplify ((t*t*t**(-5))/(t*t**(-16)*t))**(1/14) assuming t is positive.
t**(11/14)
Simplify (s**(-3)/s**(-3/2))/((s**15/s*s)/s**(-4)) assuming s is positive.
s**(-41/2)
Simplify (j*(j*j/((j/(j/(j*j*j/j**(-3))*j))/j*j))/j*j)/(j/j**(3/8)*j*j*j)*j**(-3/4)/(j/j**(4/5)) assuming j is positive.
j**(-263/40)
Simplify k*k/k**(-6/11)*k*k**0*k*(k**(-3))**(-4/7) assuming k is positive.
k**(482/77)
Simplify (v*(v/v**(-3))/v)**(-15/4)*(v/(v**1*v))**(-5/6) assuming v is positive.
v**(-85/6)
Simplify (d**(4/5)*d*d**(2/9))/(d**(-6/17)/(d/(d**(-4)*d))) assuming d is positive.
d**(4877/765)
Simplify ((v/(v*v**(-1/3)))/v**8)/((v/v**(-3)*v)/v)**(2/33) assuming v is positive.
v**(-87/11)
Simplify (u**10/u)**(-25)*(u**(-1))**(-2/3) assuming u is positive.
u**(-673/3)
Simplify ((z*z*z**(2/33)*z*z)/z*z)**37/(((z**(2/11)/z)/z)/(z**(3/14)/z)) assuming z is positive.
z**(69889/462)
Simplify ((a/(a/a**(-9/2)))/a*a/((a/(a**(-32)*a*a*a))/a*a))**(5/17) assuming a is positive.
a**(-345/34)
Simplify (((f**(1/2))**(-3/5))**(-2))**(21/2) assuming f is positive.
f**(63/10)
Simplify (a**15*a**4/a)/(((a**(-9)/a)/a)/a**(-4/9)) assuming a is positive.
a**(257/9)
Simplify ((o**1/(o*o**(-5/2)))/(o**12/o**(3/2)))**(-8/5) assuming o is positive.
o**(64/5)
Simplify (x**(2/11)*x*x)/x*x*x*x/x**(-22)*((x**12/x)/x)/x*x**(-17)/x assuming x is positive.
x**(189/11)
Simplify (o*o*o/(o/(o/o**26)))/o**(1/19)*o/o**(1/8)*o*o**(-1/12)/o assuming o is positive.
o**(-10151/456)
Simplify (w**(-2/7)*w*w**(-28)/w)/(w**13*w**9*w) assuming w is positive.
w**(-359/7)
Simplify (l**(1/2))**24*l**(9/2)*(l**(-3/2)*l)/l assuming l is positive.
l**15
Simplify (k**13*k*k*k/k**(-3/8))/((k/(k/(((k*k**(-1/12))/k)/k)))/(k*k**(10/9)*k)) assuming k is positive.
k**(1481/72)
Simplify l/l**(-5/4)*l/l**14*(l**(5/3))**(-40) assuming l is positive.
l**(-929/12)
Simplify (j*j**(-4/7)*j)/(j/(j**0*j))*(j**(2/11)*j)**(-11) assuming j is positive.
j**(-81/7)
Simplify ((v**(3/2)/v*v**(2/7)*v)**(-3/20))**(-12/11) assuming v is positive.
v**(45/154)
Simplify (d/(d*d*((d**0/d)/d*d)/d*d*d))**2/(d/d**(-1/2))**(-17/2) assuming d is positive.
d**(43/4)
Simplify (p**(-14)*p)/p*p*p**14*p**(-3/2)/p*p*p/(p/p**(-8)) assuming p is positive.
p**(-17/2)
Simplify (g*g**(-2/7))/(g/g**11*g)*g**(-1/20)/g*g*g**0 assuming g is positive.
g**(1353/140)
Simplify d**14*(d/(d**(1/5)/d))/d*(d**(3/20)*d)/d*d**(1/2)*d assuming d is positive.
d**(329/20)
Simplify (g/g**(-9))**(-2/9)/(g*g*g/(g*g**(-6))*g**(-2/13)/g*g) assuming g is positive.
g**(-1178/117)
Simplify ((a*a/(a/((a/(a/(((a/(a**(1/3)/a))/a*a)/a)*a))/a)))**(-49)/(a**(-5)*a**(3/10)))**9 assuming a is positive.
a**(1893/10)
Simplify (c*c*c*c*c*c**(4/19)/c*c)**(-40)*((c*(c/(c/(c/((c/((c/(c**(-9/7)/c))/c)*c)/c))))/c)/c)/(c*c/c**(-33)*c) assuming c is positive.
c**(-32337/133)
Simplify c**(-2/17)/c**18*c**(-3/4)/(c/((((c**(-23)/c)/c)/c)/c)) assuming c is positive.
c**(-3187/68)
Simplify (c**(4/11))**14*(c/(((c**(3/16)*c)/c)/c))/(c/((c/c**(17/5))/c)) assuming c is positive.
c**(2203/880)
Simplify (b**(-28)/((b*b**(1/56))/b))/(b**25*b**26/b) assuming b is positive.
b**(-4369/56)
Simplify ((b**(1/17))**(-1))**34 assuming b is positive.
b**(-2)
Simplify (((m*m**(-1/4))/m*m)**(-20)*m/(m/m**(-1/4))*m**6)**(-28) assuming m is positive.
m**259
Simplify ((n**(-6)/n)/n*n**(-7)*(n**(2/7)*n)**2)**(3/5) assuming n is positive.
n**(-261/35)
Simplify (j*j*j/(j**17/j))/j*j**(2/5)/j*((j**(-16)*j)/j)/(j*j/j**(-2/15)) assuming j is positive.
j**(-491/15)
Simplify (x*x**0*x)**(-2)*x**(-9)/x**16 assuming x is positive.
x**(-29)
Simplify ((p*p/(p/p**(2/5)))/p**(1/8))/(((p/(p/(p/(p**8*p))))/p)/p*p**8) assuming p is positive.
p**(131/40)
Simplify ((d**6/d*d**6)/((d/(d/d**(-1/4)))/d**(-5/6)))**(5/13) assuming d is positive.
d**(625/156)
Simplify (c*c**16/c)/c*c/c**19*(c*(((c**20*c)/c)/c)/c)/c*c*c*c*c/(c/(c/(c/(c*c/(c/(c**(-2)*c))*c*c*c)))) assuming c is positive.
c**21
Simplify (j**(-7)*j*(j/(j*j**(-13))*j)/j)/((j/(j*j**8/j))/(j*j/j**(-1/25))) assuming j is positive.
j**(401/25)
Simplify (v**(-1/10)/(v/(v/(v**(5/6)*v*v))))**(-2/3) assuming v is positive.
v**(88/45)
Simplify ((n/n**(2/3))**3/(n**(1/4)*n**(-2)))**(-1/26) assuming n is positive.
n**(-11/104)
Simplify (g**(-6)*g**8)/(g**(1/5)/(g*g/g**(-4))) assuming g is positive.
g**(39/5)
Simplify ((x/(x*x**(-14)))/x*x**18)/(x/x**(-4/11)*x**(-2/7)) assuming x is positive.
x**(2304/77)
Simplify ((z**(-4)*z*z*z*z**(-9)/z)/((z*z*z**(-2)*z*z)/(z*(z*(z**(3/8)/z*z)/z)/z)))**(33/5) assuming z is positive.
z**(-3333/40)
Simplify (k**(5/3))**(-13)*(k**(2/27))**(-2/3) assuming k is positive.
k**(-1759/81)
Simplify (((p*p**(1/2))/p**(1/9))/(p**(-4)*(p*p/(((p**0/p)/p)/p))/p))**(-1/68) assuming p is positive.
p**(-25/1224)
Simplify (y*y**(2/15)/y*y*y*y/(y**(-4/15)/y)*y)/(y**(1/8)/(y*y/y**(2/13)*y)) assuming y is positive.
y**(4223/520)
Simplify ((f/(f*((f**5/f)/f)/f)*f*f/f**5*f*f)**(-1/13))**(-1/6) assuming f is positive.
f**(-1/26)
Simplify (u**(1/2)*u/(u*u/(u/u**(3/7))))/(u/(( | {
"pile_set_name": "DM Mathematics"
} |
mmon factor of 621390 and 189420.
2310
Calculate the highest common factor of 6200 and 358825.
775
Calculate the greatest common factor of 980 and 47369770.
490
Calculate the highest common divisor of 2709 and 5551371.
63
Calculate the highest common divisor of 37387 and 170471.
343
Calculate the greatest common factor of 356290 and 1727.
11
What is the highest common factor of 2245219 and 14043?
151
Calculate the greatest common divisor of 968 and 81992.
8
What is the highest common factor of 1883 and 33116052?
269
What is the highest common divisor of 78208 and 19328?
128
What is the highest common divisor of 12544375 and 1875?
625
Calculate the greatest common factor of 360 and 971160.
120
Calculate the greatest common factor of 1457 and 279227.
47
Calculate the greatest common divisor of 217090 and 7870.
10
What is the greatest common divisor of 10495002 and 420?
42
Calculate the highest common factor of 188285 and 85.
5
Calculate the greatest common divisor of 129672 and 249552.
72
Calculate the highest common divisor of 20 and 9278110.
10
Calculate the greatest common divisor of 12002 and 124950.
34
What is the greatest common factor of 26052 and 499876?
52
What is the highest common divisor of 152 and 25763772?
76
What is the highest common divisor of 66593957 and 398?
199
Calculate the highest common factor of 9477 and 612534.
39
Calculate the greatest common factor of 30864312 and 144.
72
What is the highest common divisor of 7 and 68693632?
7
What is the greatest common factor of 43596 and 10059?
21
Calculate the highest common factor of 56 and 9366232.
8
What is the greatest common divisor of 353 and 38929546?
353
Calculate the highest common factor of 607299 and 2667.
21
What is the highest common divisor of 4896 and 2306784?
96
Calculate the greatest common factor of 1287800 and 564.
188
Calculate the highest common factor of 664 and 18456.
8
Calculate the greatest common factor of 93666 and 137886.
402
Calculate the highest common factor of 31040 and 10427015.
485
What is the greatest common divisor of 108842054 and 310?
62
What is the greatest common divisor of 59389 and 1628?
11
What is the highest common divisor of 5472973 and 209?
11
What is the highest common divisor of 60928 and 955094?
238
What is the highest common factor of 86148534 and 24?
6
Calculate the greatest common factor of 32064 and 958464.
192
What is the greatest common divisor of 43266548 and 8?
4
Calculate the greatest common divisor of 11197095 and 18299.
631
What is the highest common divisor of 57 and 447347609?
19
What is the greatest common factor of 8850 and 564276?
354
Calculate the highest common factor of 21164 and 5019124.
1628
What is the greatest common factor of 454410 and 42415?
85
Calculate the greatest common divisor of 14500 and 485402.
58
What is the highest common factor of 158373553 and 13?
13
Calculate the highest common divisor of 12692691 and 1980.
99
Calculate the greatest common divisor of 5665292 and 46996.
1516
What is the highest common divisor of 3348 and 7490592?
1116
What is the highest common factor of 70 and 2259082?
14
Calculate the greatest common factor of 340522 and 3094.
182
Calculate the greatest common divisor of 1386641 and 188.
47
Calculate the highest common divisor of 128307 and 66975.
57
Calculate the highest common factor of 188039 and 6751.
43
What is the greatest common divisor of 5233659 and 430?
43
What is the greatest common factor of 20608 and 84224?
896
What is the highest common factor of 1624 and 14922472?
232
What is the greatest common factor of 12282 and 1761846?
138
What is the greatest common factor of 110842667 and 13?
13
What is the highest common divisor of 713 and 905855?
23
What is the highest common factor of 19542269 and 151?
151
Calculate the greatest common divisor of 11190797 and 180045.
4001
Calculate the greatest common factor of 699 and 61047.
3
What is the greatest common divisor of 72085 and 6175?
65
What is the greatest common divisor of 24 and 448624332?
12
What is the greatest common divisor of 15073924 and 3128?
92
What is the highest common factor of 71343 and 17325?
9
Calculate the greatest common divisor of 3000670 and 50.
10
Calculate the greatest common factor of 259300 and 585600.
100
What is the highest common factor of 72712991 and 26?
13
Calculate the greatest common factor of 8013752 and 1940.
388
What is the highest common divisor of 133896 and 154728?
168
What is the greatest common divisor of 22440 and 22223080?
7480
Calculate the highest common factor of 128322031 and 703.
37
Calculate the highest common divisor of 6876 and 1515012.
2292
What is the highest common divisor of 374459499 and 37?
37
What is the highest common divisor of 589118 and 7922?
34
What is the greatest common factor of 102920481 and 2623?
61
What is the highest common factor of 492701670 and 117315?
10665
Calculate the highest common factor of 1527228 and 5056.
316
Calculate the highest common divisor of 1682 and 344056.
58
What is the highest common divisor of 36360 and 89829?
9
What is the greatest common divisor of 12587991 and 6?
3
Calculate the highest common factor of 136 and 264564268.
68
What is the greatest common divisor of 1557 and 917073?
1557
What is the greatest common factor of 713200 and 1773600?
400
Calculate the highest common divisor of 21 and 8569644.
3
What is the greatest common factor of 129379940 and 220?
20
Calculate the greatest common factor of 120660684 and 24.
12
What is the greatest common divisor of 18 and 12743559?
9
Calculate the highest common divisor of 4573300 and 1748.
76
Calculate the greatest common divisor of 634889825 and 4150.
2075
What is the greatest common factor of 80556 and 64092?
588
What is the highest common divisor of 1750 and 88500125?
875
What is the greatest common factor of 103190 and 6592627?
607
What is the highest common divisor of 2376318 and 3654?
1218
What is the greatest common factor of 34 and 443242?
2
Calculate the highest common divisor of 13918200 and 15.
15
What is the greatest common factor of 3193 and 2636767?
31
Calculate the greatest common divisor of 50592 and 2494291.
527
What is the highest common divisor of 623224468 and 46?
46
Calculate the highest common factor of 106856 and 2793418.
722
What is the greatest common factor of 547 and 2801544191?
547
What is the highest common divisor of 231374666 and 38?
38
Calculate the greatest common factor of 3958162 and 5382.
598
Calculate the greatest common divisor of 37285001 and 3289.
299
What is the greatest common factor of 576 and 3838248?
72
What is the highest common divisor of 24192205 and 23?
23
What is the greatest common factor of 2910052 and 722108?
4324
Calculate the highest common divisor of 6 and 74642224.
2
Calculate the greatest common factor of 13413 and 267915733.
4471
What is the highest common divisor of 15235276 and 2744?
196
Calculate the greatest common factor of 81412842 and 2286.
762
What is the greatest common factor of 368 and 69055232?
16
Calculate the greatest common divisor of 6160504 and 124936.
1288
Calculate the greatest common factor of 2854830 and 872070.
1230
What is the highest common factor of 142378 and 1285?
257
What is the greatest common factor of 11501 and 2586241?
371
Calculate the greatest common divisor of 11999 and 34788819.
169
What is the greatest common divisor of 5541786 and 6519?
159
What is the greatest common divisor of 79223505 and 1740?
435
What is the highest common divisor of 84 and 62780628?
12
Calculate the highest common factor of 49495316 and 6260.
1252
Calculate the greatest common divisor of 142065 and 276870.
165
Calculate the highest common factor of 39 and 107016910.
13
What is the highest common divisor of 123 and 47897799?
123
Calculate the greatest common factor of 1098 and 253480437.
549
Calculate the greatest common factor of 4437 and 38607.
51
Calculate the greatest common factor of 8288 and 4601024.
1184
What is the highest common factor of 27901335 and 19380?
255
Calculate the highest common divisor of 1790 and 91924555.
895
Calculate the greatest common divisor of 318812755 and 2385.
265
Calculate the greatest common divisor of 227262 and 7644.
294
What is the greatest common factor of 1446212 and 54 | {
"pile_set_name": "DM Mathematics"
} |
4*c.
4*c*(c - 4)*(c + 12)/3
Solve -2*p**4 + 36*p**3 - 210*p**2 + 464*p - 288 = 0 for p.
1, 4, 9
Factor -5*m**4 - 15*m**3 - 10*m**2.
-5*m**2*(m + 1)*(m + 2)
Factor 2*y**3/5 + 206*y**2/5 + 1120*y + 3000.
2*(y + 3)*(y + 50)**2/5
Factor -4*b**3 + 644*b**2 - 26240*b + 25600.
-4*(b - 80)**2*(b - 1)
Factor -3*j**2 - 6930*j - 4002075.
-3*(j + 1155)**2
What is d in -d**2/11 - 23*d/11 = 0?
-23, 0
Find z such that -2*z**5 + 28*z**4 - 24*z**3 - 28*z**2 + 26*z = 0.
-1, 0, 1, 13
Solve -28*i**5 - 132*i**4 + 432*i**3 - 112*i**2 = 0 for i.
-7, 0, 2/7, 2
Solve -c**2/4 + 577*c/4 + 289/2 = 0 for c.
-1, 578
What is k in k**3 + 15*k**2 - 81*k - 95 = 0?
-19, -1, 5
Find r such that -5*r**2 - 840*r - 35280 = 0.
-84
Let -5*y**4 + 10*y**3 + 5515*y**2 - 5520*y - 1523520 = 0. Calculate y.
-23, 24
Solve -6075*c**4 + 540*c**3 - 12*c**2 = 0.
0, 2/45
Find t, given that -14*t**3/5 - 52*t**2/5 - 8*t + 16/5 = 0.
-2, 2/7
Suppose -3*l**3 + 69*l**2 - 126*l = 0. Calculate l.
0, 2, 21
Suppose -16*x**2 - 76*x + 120 = 0. Calculate x.
-6, 5/4
Factor w**3 - 121*w**2 + 3599*w + 3721.
(w - 61)**2*(w + 1)
What is l in 5*l**4 + 1390*l**3 + 2765*l**2 + 1380*l = 0?
-276, -1, 0
Let -5*o**4 + 63*o**3 + 96*o**2 + 28*o = 0. Calculate o.
-1, -2/5, 0, 14
Determine u, given that 24*u**2/11 - 430*u/11 - 36/11 = 0.
-1/12, 18
Let -g**4/3 - 85*g**3/3 - 616*g**2 - 588*g = 0. Calculate g.
-42, -1, 0
Factor 5*v**3 - 28*v**2 - 47*v - 14.
(v - 7)*(v + 1)*(5*v + 2)
Factor -3*k**2 + 384*k - 381.
-3*(k - 127)*(k - 1)
Factor 2*d**3 - 38*d**2 + 152*d - 168.
2*(d - 14)*(d - 3)*(d - 2)
Determine j so that j**2 = 0.
0
Find v, given that 4*v**5 + 36*v**4 + 56*v**3 - 136*v**2 - 60*v + 100 = 0.
-5, -1, 1
Solve 21*i**3/2 - 41*i**2/4 - i/4 = 0 for i.
-1/42, 0, 1
Factor -v**3/2 + 13*v**2/2 - 28*v + 40.
-(v - 5)*(v - 4)**2/2
Find s, given that -s**4/4 + s**3/2 + 2*s**2 - 9*s/2 + 9/4 = 0.
-3, 1, 3
Factor -5*k**3 - 300*k**2 + 305*k.
-5*k*(k - 1)*(k + 61)
Suppose -5*s**4 + 15*s**3 + 30*s**2 - 40*s = 0. What is s?
-2, 0, 1, 4
Suppose -5*f**3 + 115*f**2 + 130*f - 240 = 0. What is f?
-2, 1, 24
Factor 15*g**2 + 1475*g/2 + 245/2.
5*(g + 49)*(6*g + 1)/2
Determine r so that -5*r**4 - 290*r**3 - 4985*r**2 - 22620*r - 30420 = 0.
-26, -3
Let x**5 + 29*x**4 + 233*x**3 + 655*x**2 + 450*x = 0. Calculate x.
-18, -5, -1, 0
Factor 5*c**3 - 530*c**2 + 1555*c - 1030.
5*(c - 103)*(c - 2)*(c - 1)
Determine j, given that 75*j**5/4 - 60*j**4 + 18*j**3 + 48*j**2 + 12*j = 0.
-2/5, 0, 2
Factor -u**2/3 + 22*u/3 + 23/3.
-(u - 23)*(u + 1)/3
Factor -d**2/3 + 35*d + 106/3.
-(d - 106)*(d + 1)/3
Let 3*a**4/4 - 417*a**3/2 + 57963*a**2/4 = 0. Calculate a.
0, 139
Solve -4*t**3 + 12*t**2 + 40*t - 96 = 0.
-3, 2, 4
Factor m**4 - 84*m**3 - 3*m**2 + 250*m + 168.
(m - 84)*(m - 2)*(m + 1)**2
Find y, given that 4*y**2/7 - 16*y = 0.
0, 28
Factor -d**3/5 - 29*d**2/5 - 114*d/5 + 144/5.
-(d - 1)*(d + 6)*(d + 24)/5
Factor -w**2/6 - 187*w/6.
-w*(w + 187)/6
Factor 2*b**2/23 - 148*b/23 + 288/23.
2*(b - 72)*(b - 2)/23
Factor 3*y**2 - 132*y + 1452.
3*(y - 22)**2
Factor 5*v**2 + 245*v + 240.
5*(v + 1)*(v + 48)
Factor 2*j**2/9 + 28*j/9 + 16/3.
2*(j + 2)*(j + 12)/9
Factor -15*f**2 + 363*f - 72.
-3*(f - 24)*(5*f - 1)
What is c in 160*c**4 + 368*c**3 + 258*c**2 + 52*c + 2 = 0?
-1, -1/4, -1/20
Factor -2*y**5/9 + 110*y**4 - 18150*y**3 + 998250*y**2.
-2*y**2*(y - 165)**3/9
Find v such that v**3 - 39*v**2 - 42*v + 80 = 0.
-2, 1, 40
Suppose n**2/6 + 232*n/3 + 26912/3 = 0. What is n?
-232
Find i, given that -2*i**3/15 - 86*i**2/15 - 388*i/15 - 304/15 = 0.
-38, -4, -1
Factor -2*a**3/3 - 52*a**2/3 - 126*a - 240.
-2*(a + 3)*(a + 8)*(a + 15)/3
Determine m so that m**3/3 - 2*m**2/3 - m = 0.
-1, 0, 3
Factor -4*c**2 + 76*c + 80.
-4*(c - 20)*(c + 1)
Let -2*o**4 + 74*o**3 - 1026*o**2 + 6318*o - 14580 = 0. Calculate o.
9, 10
Find a such that 4*a**3 + 28*a**2 + 60*a + 36 = 0.
-3, -1
Factor 10*h**3/7 - 1296*h**2/7 + 6144*h - 65536/7.
2*(h - 64)**2*(5*h - 8)/7
Find u such that 24*u**4 + 70*u**3 + 72*u**2 + 30*u + 4 = 0.
-1, -2/3, -1/4
Let 3*y**4 - 63*y**3 + 297*y**2 + 363*y = 0. Calculate y.
-1, 0, 11
Determine v, given that -5*v**5/3 - 40*v**4 + 260*v**3/3 - 10*v**2/3 - 85*v + 130/3 = 0.
-26, -1, 1
Suppose -5*c**2 - 100*c + 105 = 0. What is c?
-21, 1
Suppose 4*r**2 - 176*r + 492 = 0. What is r?
3, 41
Factor o**2/5 - 209*o/5 - 42.
(o - 210)*(o + 1)/5
Let -4*v**3 - 211*v**2 + 269*v - 54 = 0. Calculate v.
-54, 1/4, 1
Find q, given that -q**4 - 100*q**3 - 290*q**2 + 100*q + 291 = 0.
-97, -3, -1, 1
Suppose 2*d**2/7 - 22*d/7 + 48/7 = 0. What is d?
3, 8
Factor -x**4 - 23*x**3 + x**2 + 23*x.
-x*(x - 1)*(x + 1)*(x + 23)
What is c in 2*c**4/7 - 60*c**3/7 + 208*c**2/7 = 0?
0, 4, 26
Factor -15*x**2/2 + 63*x - 24.
-3*(x - 8)*(5*x - 2)/2
Factor -g**2 + 12*g - 11.
-(g - 11)*(g - 1)
Factor p**3/11 - 23*p**2/11 - 49*p/11 + 1127/11.
(p - 23)*(p - 7)*(p + 7)/11
Determine h, given that 4*h**5 - 20*h**4 - 4*h**3 + 68*h**2 + 48*h = 0.
-1, 0, 3, 4
Factor -5*r**2 + 90*r + 1215.
-5*(r - 27)*(r + 9)
Let 3*a**3 - 6*a**2 - 3*a + 6 = 0. Calculate a.
-1, 1, 2
Find n, given that 2*n**5/11 - 8*n**4/11 - 26*n**3/11 + 8*n**2/11 + 24*n/11 = 0.
-2, -1, 0, 1, 6
Factor a**4/8 + a**3/8.
a**3*(a + 1)/8
Let -10*g**5 + 104*g**4 - 170*g**3 - 548*g**2 - 120*g + 144 = 0. What is g?
-1, 2/5, 6
Factor u**4/7 - 22*u**3/7 - 24*u**2/7 + 22*u/7 + 23/7.
(u - 23)*(u - 1)*(u + 1)**2/7
Solve -2*b**3 + 6*b + 4 = 0.
-1, 2
What is z in z**3 - 6*z**2 = 0?
0, 6
Factor -p**3/3 + 14*p**2/3 - 44*p/3 + 40/3.
-(p - 10)*(p - 2)**2/3
Solve 5*o**5 + 85*o**4 - 210*o**3 - 370*o**2 + 205*o + 285 = 0 for o.
-19, -1, 1, 3
Solve -35*i**2/3 - 500*i/3 = 0 for i.
-100/7, 0
Solve -2*o**5/7 + 34*o**4/7 - 134*o**3/7 + 174*o**2/7 - 72*o/7 = 0 for o.
0, 1, 3, 12
Factor -y**2/6 + 226*y/3 - 25538/3.
-(y - 226)**2/6
Determine j so that -3*j**5 + 1512*j**4 - 1500*j**3 - 4542*j**2 + 7551*j - 3018 = 0.
-2, 1, 503
Factor 10*c**4/9 + 14*c**3/9 + 4*c**2/9.
2*c**2*(c + 1)*(5*c + 2)/9
Suppose 4*y**3 + 24*y**2 - 4*y - 24 = 0. Calculate y.
-6, -1, 1
Determine c, given that 4*c**3 + 720*c**2 + 33108*c + 63368 = 0.
-89, -2
Factor 3*h**3 - 117*h - 210.
3*(h - 7)*(h + 2)*(h + 5)
Factor 3*n**3 - 340*n**2 - 2768*n/3 - 1856/3.
(n - 116)*(3*n + 4)**2/3
Factor -2*u**2/5 + 192*u/5 - 4608/5.
-2*(u - 48)**2/5
Suppose -4*b**2/3 + 8*b/3 + 4 = 0. Calculate b.
-1, 3
Factor -4*u**3 + 36*u**2 + 16*u - 144.
-4*(u - 9)*(u - 2)*(u + 2)
Find f such that 2*f**5/5 - 24*f**4/5 + 58*f**3/5 + 76*f**2/5 - 48*f + 128/5 = 0.
-2, 1, 4, 8
Factor -f**3/2 - 59*f**2/4 + 563*f/4 + 74.
-(f - 8)*(f + 37)*(2*f + 1)/4
Solve 2*i**5/9 - 14*i**4/9 + 10*i**3/3 - 2*i**2 = 0.
0, 1, 3
Find q, given that 2*q**5/3 - 8*q**4/3 - 56*q**3/3 - 64*q**2/3 = 0.
-2, 0, 8
Find q such that q**5/3 + 28*q**4 + 1558*q**3/3 + 2256*q**2 - 18551*q/3 + 3380 = 0.
-60, -13, 1
Suppose k**5/6 - 3*k**4/2 + 23*k**3/6 - 5*k**2/2 = 0. What is k?
0, 1, 3, 5
What is y in 10*y**2 - 395*y - 200 = 0?
-1/2, 40
Determine l, given that -5*l**4/2 - 24*l**3 - 51*l**2 - 40*l - 21/2 = 0.
-7, -1, -3/5
Solve -3*b**5 + 6*b**4 + 24*b**3 - 54*b**2 + 27*b = 0.
-3, 0, 1, 3
What is c in c**3/2 + 6*c**2 - c/2 - 6 = 0?
-12, -1, 1
Factor a**3/5 + 8*a**2/5 - 4*a.
a*(a - 2)*(a + 10)/5
Factor 3*n**5 - 15*n**4 + 30*n**3 - 30*n**2 + 15*n - 3.
3*(n - 1)**5
Factor -n**3/5 - 2*n**2/5 + 21*n/5 - 18/5.
-(n - 3)*(n - 1)*(n + 6)/5
Factor 4*w**3 - 28*w**2 - 68*w - 36.
4*(w - 9)*(w + 1)**2
What is f in f**5 + 78*f**4 + 1733*f**3 + 8136*f**2 + 6480*f = 0?
-36, -5, -1, 0
Suppose 5*o**4 + 1250*o**3 + 82965*o**2 + 605000*o + 1171280 = 0. What is o?
-121, -4
Factor 3*m**3 - 12*m.
3*m*(m - 2)*(m + 2)
Determine v, given that v**4/4 + 3*v**3/4 - v**2/2 - 3*v - 2 = 0.
-2, -1, 2
Suppose x**3/5 - 2*x**2 - 151*x/5 - 76 = 0. What is x?
-5, -4, 19
Find g, given that 2*g**4/5 + 24*g**3/5 + 54*g**2/5 - 8*g/5 - 72/5 = 0.
-9, -2, 1
Suppose -l**5/3 - l**4/3 + l**3 + 5*l**2/3 + 2*l/3 = 0. What is l?
-1, 0, 2
Determine c, given that c**3/4 - 15*c**2/4 + 19*c/2 - 6 = 0.
1, 2, 12
What is p in 768*p**2 + 144*p + 27/4 = 0?
-3/32
Find l, given that -5*l**2 - 1265*l - 1260 = 0.
-252, -1
Let 3*l**2/7 + 219*l/7 - 222/7 = 0. Calculate l.
-74, 1
Factor 2*w**2 + 15312*w + 29307168.
2*(w + 3828)**2
Suppose 2*c**2/25 + 12*c/25 - 22/5 = 0. What is c?
-11, 5
Find m such that -3*m**5 + 27*m**4 + 3*m**3 - 627*m**2 + 1800*m - 1200 = 0.
- | {
"pile_set_name": "DM Mathematics"
} |
e millions digit of 27745613?
7
What is the billions digit of 1187767498?
1
What is the units digit of 136186088?
8
What is the hundred millions digit of 3407473683?
4
What is the millions digit of 330389158?
0
What is the ten millions digit of 418527755?
1
What is the billions digit of 2940874901?
2
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1
What is the thousands digit of 702164316?
4
What is the hundred thousands digit of 137959356?
9
What is the ten millions digit of 175826499?
7
What is the thousands digit of 3812792452?
2
What is the hundred millions digit of 633014548?
6
What is the ten thousands digit of 182691886?
9
What is the ten thousands digit of 148766258?
6
What is the thousands digit of 1057131023?
1
What is the hundred thousands digit of 602452728?
4
What is the tens digit of 4177714817?
1
What is the thousands digit of 590751116?
1
What is the units digit of 199368753?
3
What is the ten millions digit of 399813258?
9
What is the millions digit of 178024371?
8
What is the thousands digit of 691164?
1
What is the thousands digit of 136494401?
4
What is the hundred thousands digit of 15041809?
0
What is the units digit of 58041822?
2
What is the hundreds digit of 514108970?
9
What is the ten millions digit of 1898081424?
9
What is the ten millions digit of 45201697?
4
What is the hundreds digit of 80511374?
3
What is the hundreds digit of 1262544137?
1
What is the tens digit of 517537532?
3
What is the ten millions digit of 6794329774?
9
What is the hundred thousands digit of 1441048349?
0
What is the hundred thousands digit of 1741811152?
8
What is the ten thousands digit of 5852322879?
2
What is the hundreds digit of 19698629?
6
What is the tens digit of 645729993?
9
What is the millions digit of 24242735?
4
What is the units digit of 1888777689?
9
What is the units digit of 262487616?
6
What is the hundreds digit of 66489632?
6
What is the thousands digit of 62803425?
3
What is the ten thousands digit of 43704338?
0
What is the ten thousands digit of 88253938?
5
What is the hundred thousands digit of 28876454?
8
What is the thousands digit of 27827090?
7
What is the hundred millions digit of 427192810?
4
What is the tens digit of 17298568?
6
What is the units digit of 260669811?
1
What is the millions digit of 524206330?
4
What is the ten millions digit of 599045420?
9
What is the hundred thousands digit of 245675138?
6
What is the hundreds digit of 208533432?
4
What is the tens digit of 581627556?
5
What is the units digit of 7701196942?
2
What is the millions digit of 112310305?
2
What is the millions digit of 33693962?
3
What is the tens digit of 145098547?
4
What is the thousands digit of 254838593?
8
What is the billions digit of 2663153688?
2
What is the hundreds digit of 740320332?
3
What is the ten thousands digit of 21268309?
6
What is the units digit of 593691626?
6
What is the ten millions digit of 1984124850?
8
What is the ten millions digit of 21119424?
2
What is the ten millions digit of 686963966?
8
What is the ten thousands digit of 27051958?
5
What is the ten millions digit of 1139663620?
3
What is the millions digit of 901208209?
1
What is the hundred millions digit of 687444522?
6
What is the thousands digit of 675081252?
1
What is the tens digit of 2894806592?
9
What is the millions digit of 456854622?
6
What is the billions digit of 1975965728?
1
What is the millions digit of 297586805?
7
What is the ten millions digit of 70104453?
7
What is the millions digit of 1133652366?
3
What is the hundreds digit of 3089186813?
8
What is the hundreds digit of 139790552?
5
What is the hundred thousands digit of 1815139126?
1
What is the tens digit of 267358720?
2
What is the millions digit of 1082258733?
2
What is the hundreds digit of 1660625582?
5
What is the hundred millions digit of 409942470?
4
What is the hundreds digit of 366248658?
6
What is the tens digit of 1758643?
4
What is the hundreds digit of 149593075?
0
What is the hundreds digit of 34818255?
2
What is the millions digit of 2523179076?
3
What is the thousands digit of 34101054?
1
What is the ten millions digit of 261751346?
6
What is the units digit of 62105184?
4
What is the millions digit of 69035938?
9
What is the ten thousands digit of 161456765?
5
What is the ten thousands digit of 703671903?
7
What is the hundreds digit of 54565185?
1
What is the millions digit of 201233220?
1
What is the tens digit of 298468365?
6
What is the tens digit of 42641298?
9
What is the hundreds digit of 152116066?
0
What is the millions digit of 79212774?
9
What is the units digit of 21972257?
7
What is the units digit of 135266338?
8
What is the ten thousands digit of 38604981?
0
What is the hundred thousands digit of 5730556?
7
What is the millions digit of 229828136?
9
What is the hundreds digit of 234229551?
5
What is the hundred millions digit of 6112188909?
1
What is the ten millions digit of 45529288?
4
What is the ten millions digit of 61657609?
6
What is the hundreds digit of 59280559?
5
What is the ten millions digit of 91677455?
9
What is the units digit of 31312586?
6
What is the tens digit of 11577678?
7
What is the tens digit of 65808255?
5
What is the hundred thousands digit of 24950952?
9
What is the hundred millions digit of 255086893?
2
What is the hundreds digit of 762060472?
4
What is the thousands digit of 110711899?
1
What is the thousands digit of 264891370?
1
What is the tens digit of 690150477?
7
What is the hundred thousands digit of 2216367078?
3
What is the millions digit of 344402988?
4
What is the ten millions digit of 3722346130?
2
What is the ten thousands digit of 203961392?
6
What is the ten millions digit of 473184195?
7
What is the ten thousands digit of 219695471?
9
What is the hundreds digit of 386617238?
2
What is the ten thousands digit of 10871985?
7
What is the thousands digit of 801297705?
7
What is the tens digit of 2074088492?
9
What is the hundreds digit of 122439467?
4
What is the ten thousands digit of 151328599?
2
What is the millions digit of 6253653?
6
What is the units digit of 59077648?
8
What is the ten thousands digit of 2491462?
9
What is the ten millions digit of 975272986?
7
What is the tens digit of 329061528?
2
What is the tens digit of 161650186?
8
What is the ten millions digit of 204926506?
0
What is the ten millions digit of 175322308?
7
What is the thousands digit of 4420725288?
5
What is the ten millions digit of 374017621?
7
What is the ten thousands digit of 80415516?
1
What is the millions digit of 52902327?
2
What is the hundreds digit of 37100255?
2
What is the hundred millions digit of 113384659?
1
What is the ten millions digit of 44362611?
4
What is the thousands digit of 3790832?
0
What is the tens digit of 3954219833?
3
What is the thousands digit of 25838465?
8
What is the tens digit of 125991197?
9
What is the hundred thousands digit of 237007568?
0
What is the hundreds digit of 500658637?
6
What is the thousands digit of 3582733488?
3
What is the ten millions digit of 38668533?
3
What is the ten millions digit of 175021473?
7
What is the tens digit of 4647268010?
1
What is the millions digit of 57113526?
7
What is the hundred thousands digit of 1275132439?
1
What is the billions digit of 4684301842?
4
What is the ten millions digit of 1173951588?
7
What is the millions digit of 1981978847?
1
What is the tens digit of 252287746?
4
What is the millions digit of 13191613?
3
What is the hundred millions digit of 624259100?
6
What is the thousands digit of 1130896635?
6
What is the units digit of 273833019?
9
What is the billions digit of 4567359978?
4
What is the units digit of 28129320?
0
What is the hundred millions digit of 3869204702?
8
What is the hundred thousands digit of 382741067?
7
What is the ten thousands digit of 103101946?
0
What is the tens digit of 67590844?
4
What is the millions digit of 3208632623?
8
What is the hundred thousands digit of 1229619386?
6
What is the units digit of 278832394?
4
What is the hundred thousands digit of 42086365?
0
What is the ten thousands digit of 55968439?
6
What is the hundreds digit of 52792789?
7
What is the ten thousands digit of 6352079511?
7
What is the ten thousands digit of 3637946216?
4
What is the tens digit of 18875505?
0
What | {
"pile_set_name": "DM Mathematics"
} |
5, -428, -4/3, -5, 4/5, 1/103 in ascending order.
-428, -5, -4/3, 1/103, 4/5, 5
Sort -3, -181, 0.09855 in descending order.
0.09855, -3, -181
Sort -94, 0, 347.
-94, 0, 347
Sort -1.2, 0.2, -4, -1, -19/5, -0.1.
-4, -19/5, -1.2, -1, -0.1, 0.2
Sort 0, -5, -196 in ascending order.
-196, -5, 0
Sort -2, 18, 6, 5 in ascending order.
-2, 5, 6, 18
Sort -2, 78, 4, 12, 5, 3 in decreasing order.
78, 12, 5, 4, 3, -2
Sort 1, 5, -708 in increasing order.
-708, 1, 5
Put -1006, 3, -4 in decreasing order.
3, -4, -1006
Sort 22, -37, -40 in increasing order.
-40, -37, 22
Sort 3, 2/9, -3.4, 3/4, -5, 0.4 in decreasing order.
3, 3/4, 0.4, 2/9, -3.4, -5
Sort 0, -8, -2, -437, 3, 4 in decreasing order.
4, 3, 0, -2, -8, -437
Sort -5, 14, -6394 in increasing order.
-6394, -5, 14
Put -53, 2, -7, 4, 92, -4 in descending order.
92, 4, 2, -4, -7, -53
Put -18, 8, 3, 1805 in descending order.
1805, 8, 3, -18
Put 4, -12, -15, 2, 0, -1 in descending order.
4, 2, 0, -1, -12, -15
Sort -8, 0.1, 1277, -0.3, 4 in increasing order.
-8, -0.3, 0.1, 4, 1277
Sort -0.4, -4/9, -0.04, -1, 3/2 in decreasing order.
3/2, -0.04, -0.4, -4/9, -1
Put 1, 3436, -3 in ascending order.
-3, 1, 3436
Sort -2, -4, -13, 267, 5 in decreasing order.
267, 5, -2, -4, -13
Sort 6, -2, -5, -4487, 0 in descending order.
6, 0, -2, -5, -4487
Put 220, -5, -4, 12 in descending order.
220, 12, -4, -5
Sort 4, 109, 17/6, -4 in increasing order.
-4, 17/6, 4, 109
Sort -4, -1, -5, -18, 158 in descending order.
158, -1, -4, -5, -18
Sort 0, 3, 59, 2, -10, -8.
-10, -8, 0, 2, 3, 59
Put -4, 11, -5, -22, -3 in decreasing order.
11, -3, -4, -5, -22
Put -843, 4, -5, -298 in ascending order.
-843, -298, -5, 4
Sort -248, 0.5, -1, -2/7, -1/2 in ascending order.
-248, -1, -1/2, -2/7, 0.5
Put 213, -2, -147 in descending order.
213, -2, -147
Put -254, 3, 2, 1 in increasing order.
-254, 1, 2, 3
Put -2, -5/2, -2/47, -4.5, 2/5 in increasing order.
-4.5, -5/2, -2, -2/47, 2/5
Put 4, 9, -3, -28, -18 in ascending order.
-28, -18, -3, 4, 9
Sort -3, 1, -7405 in increasing order.
-7405, -3, 1
Sort -5, 3878, 1, 9 in ascending order.
-5, 1, 9, 3878
Sort 14, 0, -6, -24.1 in descending order.
14, 0, -6, -24.1
Put 3, 2131, 16 in ascending order.
3, 16, 2131
Sort 0.2, 0.4, 3/263, -0.045 in decreasing order.
0.4, 0.2, 3/263, -0.045
Sort -7, -5, 4, 7.225 in decreasing order.
7.225, 4, -5, -7
Put 2, 1/922, -0.1 in increasing order.
-0.1, 1/922, 2
Sort 4, 1465, 3, -10 in decreasing order.
1465, 4, 3, -10
Sort -3, 4, -573698, 0 in ascending order.
-573698, -3, 0, 4
Sort -4, 4, -4353 in increasing order.
-4353, -4, 4
Sort -5, 2, 1724, -2, 0 in ascending order.
-5, -2, 0, 2, 1724
Put 4/45, -0.3, 3, -74, 2/9, -0.2 in increasing order.
-74, -0.3, -0.2, 4/45, 2/9, 3
Put 140.5, 2/13, 1/4, 4, -7, -4 in decreasing order.
140.5, 4, 1/4, 2/13, -4, -7
Sort -1/6, 357, -3 in ascending order.
-3, -1/6, 357
Put 1, 2, 182 in descending order.
182, 2, 1
Sort -3, -8, -2, 44, 4 in descending order.
44, 4, -2, -3, -8
Put 7, -1/4, -339, 0 in decreasing order.
7, 0, -1/4, -339
Put -99/5, -0.4, 0.4, -0.7, -0.2 in ascending order.
-99/5, -0.7, -0.4, -0.2, 0.4
Sort 7, -1, 4, 42, -4 in increasing order.
-4, -1, 4, 7, 42
Sort 11, 2, -67738.
-67738, 2, 11
Sort 2/9, -5, 0.11, -1/3, 0.054.
-5, -1/3, 0.054, 0.11, 2/9
Sort 5, 3, -2, -3, -28, 6 in decreasing order.
6, 5, 3, -2, -3, -28
Sort -3, -1/5, -2.8, 3, 0 in descending order.
3, 0, -1/5, -2.8, -3
Sort 4, -1676, 50 in ascending order.
-1676, 4, 50
Put -3, 5, 13, -32, 7, 6 in descending order.
13, 7, 6, 5, -3, -32
Sort -1, 21, 32, 7, 3 in ascending order.
-1, 3, 7, 21, 32
Sort 2, -102, 0, -3, -4, -11 in ascending order.
-102, -11, -4, -3, 0, 2
Sort 3, 3/14, -7, -2, 0.11, -3/7 in increasing order.
-7, -2, -3/7, 0.11, 3/14, 3
Sort 0.5, 5, -205/7, -0.1 in descending order.
5, 0.5, -0.1, -205/7
Sort -39, 4, -5, 33 in decreasing order.
33, 4, -5, -39
Sort 112, 1, 43, 0.
0, 1, 43, 112
Sort 1, -1, 2, -36768 in ascending order.
-36768, -1, 1, 2
Sort -5364, 7, 2.
-5364, 2, 7
Put -42, 369, -2 in increasing order.
-42, -2, 369
Sort -24/7, 0.4, 3, -1/736 in ascending order.
-24/7, -1/736, 0.4, 3
Put 4, -758, -3, -12 in ascending order.
-758, -12, -3, 4
Sort 1, 69, -81 in descending order.
69, 1, -81
Sort 3, -24, 0, -7, -3 in decreasing order.
3, 0, -3, -7, -24
Put 1/283, -2, 0.26 in increasing order.
-2, 1/283, 0.26
Put -515, 1, -3, 27 in ascending order.
-515, -3, 1, 27
Put 1193, 4, 1, -2, -3, 6 in descending order.
1193, 6, 4, 1, -2, -3
Put 3, -5, 5, 25, 3241 in decreasing order.
3241, 25, 5, 3, -5
Put -0.48, -3/883, 0.1 in ascending order.
-0.48, -3/883, 0.1
Sort 0.5, 0.2, 0, -4/7, 5/2 in increasing order.
-4/7, 0, 0.2, 0.5, 5/2
Sort 5, -64, -1.2, -5 in increasing order.
-64, -5, -1.2, 5
Put 4, -0.3, 0, -33/17 in decreasing order.
4, 0, -0.3, -33/17
Sort -3, 48.3, -2/5, 2, 1 in decreasing order.
48.3, 2, 1, -2/5, -3
Sort -0.1, 2/3, -3, -20, 0.013, -5 in descending order.
2/3, 0.013, -0.1, -3, -5, -20
Sort -138, 1, -1, 189, 2 in decreasing order.
189, 2, 1, -1, -138
Sort 373, -3, -2, -0.4.
-3, -2, -0.4, 373
Sort 3, 0.2, 1, -0.3, 0.4, 4/4175 in descending order.
3, 1, 0.4, 0.2, 4/4175, -0.3
Sort 0, -4, -12, -265, -2 in descending order.
0, -2, -4, -12, -265
Sort 8, -108/11, 4/7, -2, -0.4.
-108/11, -2, -0.4, 4/7, 8
Sort -1/22, -5, -1, 1, -118.3, -3/2.
-118.3, -5, -3/2, -1, -1/22, 1
Put -38, -127, -39 in descending order.
-38, -39, -127
Put 4, -10, 2, -53, -1 in increasing order.
-53, -10, -1, 2, 4
Put 23, 104146, 4 in ascending order.
4, 23, 104146
Sort 2/27, 4/7, -3/7, -116.2, -18.
-116.2, -18, -3/7, 2/27, 4/7
Sort -5, 24682, 2, 3.
-5, 2, 3, 24682
Sort 3, -2, -4, -3, 2632 in ascending order.
-4, -3, -2, 3, 2632
Put 3, -1, -2/3, -6/149 in decreasing order.
3, -6/149, -2/3, -1
Put 3, -4, 42705 in decreasing order.
42705, 3, -4
Put 26, 5, 13, -323, -5 in decreasing order.
26, 13, 5, -5, -323
Sort -1, 4, -10937, -2.
-10937, -2, -1, 4
Sort 227, 99, -1/5, 3, -0.1, -0.4 in descending order.
227, 99, 3, -0.1, -1/5, -0.4
Sort 1, -8141, -4, -2.
-8141, -4, -2, 1
Put -26/23, -125, 0.2, -5 in increasing order.
-125, -5, -26/23, 0.2
Put 3/4, 2, -2, 0, 271 in descending order.
271, 2, 3/4, 0, -2
Sort 3, -192, -1, -2, -5, 4.
-192, -5, -2, -1, 3, 4
Sort -4, 21, 1, 47 in decreasing order.
47, 21, 1, -4
Sort -13, 2/35, 12/17 in descending order.
12/17, 2/35, -13
Put 0, -0.0654, -3 in descending order.
0, -0.0654, -3
Put 59, -1/2, 3/7, 0.2, -0.1, 5 in descending order.
59, 5, 3/7, 0.2, -0.1, -1/2
Sort -1/8, 8/19, -1/199 in descending order.
8/19, -1/199, -1/8
Sort 3, 19, -5, 1104 in increasing order.
-5, 3, 19, 1104
Put 64, -2, 867 in descending order.
867, 64, -2
Put 2, -4, 0, -33, 14 in decreasing order.
14, 2, 0, -4, -33
Sort -17998, 2/3, -0.9 in ascending order.
-17998, -0.9, 2/3
Sort -763, -1, -17, 9 in descending order.
9, -1, -17, -763
Sort 9039, -3, -0.2.
-3, -0.2, 9039
Sort 152, -29, 1, -2, 4 in decreasing order.
152, 4, 1, -2, -29
Sort -2, 3, 2, 73, 39.
-2, 2, 3, 39, 73
Put -3, 57, 4, -1, -15, 29 in decreasing order.
57, 29, 4, -1, -3, -15
Sort 9, -15, -505 in increasing order.
-505, -15, 9
Sort 2, 0.2, -2/5, -4, 0, 873 in decreasing order.
873, 2, 0.2, 0, -2/5, -4
Sort -5, 29189, 0.
-5, 0, 29189
Sort -2, 2, -7812, -4 in increasing order.
-7812, -4, -2, 2
Sort 4, -1, 17233, -2.
-2, -1, 4, 17233
Put -22, 3, 79, -4, 0 in descending order.
79, 3, 0, -4, -22
Sort -6/7, -417/4, -3, 0.3 in ascending order.
-417/4, -3, -6/7, 0.3
Sort 0.4, -1, 1/147, -12, 8.
-12, -1, 1/147, 0.4, 8
Sort -1, -4.8062, -3, 1, -1/2 in decreasing order.
1, -1/2, -1, -3, -4.8062
Sort 0.5, 45/67, 1/9, 0.2 in decreasing order.
45/67, 0.5, 0.2, 1/9
Put 0.02, -7, -1605 in ascending order.
-1605, -7, 0.02
Sort 0.6, -87, -3, -1.3 in increasing order.
-87, -3, -1.3, 0.6
Sort -158, 5, -379 in ascending order.
-379, -158, 5
Sort -26, -54, -5, 39 in decreasing order.
39, -5, -26, -54
Put -1/2, -265, -194/5 in decreasing order.
-1/2, -194/5, -265
Put 4, 102, 2, -4, -2 in increasing order.
-4, -2, 2, 4, 102
Sort -1/6, 223/9, -6, 3/8.
-6, -1/6, 3/8, 223/9
Put -0.02, 2, 1/3, -17 in decreasing order.
2, 1/3, -0.02, -17
Put 6, 8, 25, -4 in decreasing order.
25, 8, 6, -4
Put -2.61, -5, 3/2, 5, -3 in ascending order.
-5, -3, -2.61, 3/2, 5
Put 7, 4, -4, -27, -7, 2 in decreasing order.
7, 4, 2, -4, -7, - | {
"pile_set_name": "DM Mathematics"
} |
6 and 0.1.
-5.5036244844116
Add 0.3 and 102302826346.
102302826346.3
Work out 3.554247542 - -0.05.
3.604247542
Add together -117.8741443 and 99.7.
-18.1741443
Calculate -260.2346961 - 2846.
-3106.2346961
What is 0.03646 less than -652332220?
-652332220.03646
Sum -1539 and 20071400.
20069861
Add together 0.2 and 207240636447558.
207240636447558.2
What is 33.15000704 less than -0.6?
-33.75000704
What is -25249892768 - -0.145?
-25249892767.855
-542445130561 + -7
-542445130568
What is 2 plus -86869036353?
-86869036351
Total of 0.314323045 and -0.1801.
0.134223045
What is the distance between -0.1 and 143467716.41?
143467716.51
Work out -2.7 + 563046231.8.
563046229.1
Put together -41806 and -37817037.
-37858843
-1017404695 - 14.2
-1017404709.2
Put together 0.0253 and -66475262029.
-66475262028.9747
What is -17.31362249 - -5.1?
-12.21362249
Work out 32.76 + -0.02406897331.
32.73593102669
What is the distance between -9922.02217 and -57?
9865.02217
Work out -54429 - 0.04807443.
-54429.04807443
What is -518555480 minus -281?
-518555199
8204 - -0.761592051
8204.761592051
Work out -1071978.9403 + -275.
-1072253.9403
Subtract -452 from -445373060.
-445372608
Work out -1106 + -239384.184.
-240490.184
Add 2094.2676 and 695452.
697546.2676
Subtract -536748192 from -19409.06.
536728782.94
-0.01 - 0.031977524422329
-0.041977524422329
Put together 1.5 and -149.1143327131.
-147.6143327131
Add 7600096680007.3 and 0.5.
7600096680007.8
Put together -3250365780 and 0.002872.
-3250365779.997128
What is 186679239 less than 73491?
-186605748
What is -196151 plus -306452129?
-306648280
What is the difference between 17.0804373854 and 18?
0.9195626146
What is -282391.5856 + 31?
-282360.5856
Total of 150169 and 90141317.
90291486
What is -33895820361 less than 0.15?
33895820361.15
What is the difference between -86 and -237.118759763?
151.118759763
What is -1115086 - -143258?
-971828
Calculate 34236364 - -97060.
34333424
Add 1.141895295776 and -0.4.
0.741895295776
What is the difference between 0.0499446246 and 0.132421?
0.0824763754
Calculate 219 - 4823757.738.
-4823538.738
20.3889251434+3
23.3889251434
What is 0.264128424114 + -2?
-1.735871575886
Sum -15 and -290761355383.
-290761355398
What is -5 minus -117685625.5?
117685620.5
What is the distance between 5.856 and -0.92039446?
6.77639446
58829257 + -16169510
42659747
Calculate 973856 - 22.62048.
973833.37952
What is -402898527379 minus 0?
-402898527379
What is the distance between -0.3 and 18077617366?
18077617366.3
Work out -206083485720 - -353.
-206083485367
What is -78154767.518 - 10?
-78154777.518
-9383151851 + 3651
-9383148200
What is 5.306874141 + -2?
3.306874141
What is 591786492 take away 3.2?
591786488.8
What is the distance between 123044 and 26.6546?
123017.3454
Calculate -0.094 + -462659501.
-462659501.094
What is -0.5 plus 1633156874402?
1633156874401.5
What is 970186423750650 + 0.5?
970186423750650.5
236.33206 - 0.13819
236.19387
Work out -0.505338045 - 1084.3.
-1084.805338045
Put together -0.1743664 and 248752.
248751.8256336
What is the distance between -662541 and 1956718?
2619259
What is -1.1231 take away -55.442092?
54.318992
What is -1172325 minus 67228.2?
-1239553.2
-4147944.0701 - 0.7
-4147944.7701
Add -933.9140656 and -1.964.
-935.8780656
Calculate -35366181459 + 2.8.
-35366181456.2
Calculate -2804985765 - -5.
-2804985760
What is 20721446.9392 minus 50?
20721396.9392
What is -6507 plus 12016.784607?
5509.784607
What is -134034814211 minus -18?
-134034814193
Add 0.5 and -2764323.941486.
-2764323.441486
Put together 103058567 and -135781.
102922786
What is -1.9 take away 9640307343?
-9640307344.9
Total of -6468956.87851818 and 3.
-6468953.87851818
What is the distance between 4 and -33233788.68345?
33233792.68345
What is -40576.414659 take away -4?
-40572.414659
What is the distance between -9301 and 12884.5282?
22185.5282
Add together 1.4249357 and -1392.
-1390.5750643
Add together -221764290 and 17.3726.
-221764272.6274
What is the distance between -13633 and -81405194?
81391561
Total of -745.4202 and 7990.5379.
7245.1177
-173135977 + 14163
-173121814
-5731+-286976675
-286982406
What is 7386 - 3514860984?
-3514853598
What is -9951839.639036 take away -2?
-9951837.639036
-10.2569 - 0.361552224
-10.618452224
5.2823+-467055
-467049.7177
What is -39.368992524 - 8?
-47.368992524
What is -149618062.1 less than -5578.3?
149612483.8
What is the distance between -0.2365 and 10796925237?
10796925237.2365
Put together -37.46183325 and 2.6236.
-34.83823325
What is the distance between 0.03 and -394620.869?
394620.899
Work out -2 - -196.3468316676.
194.3468316676
Total of 85762399.103603 and 0.
85762399.103603
Sum 5 and 102019889795923.
102019889795928
What is the difference between -9339 and -11694715578?
11694706239
Calculate -1.8 + -11641458942.
-11641458943.8
What is 3.9544583 less than 3685?
3681.0455417
What is -10 plus -0.133738625647?
-10.133738625647
What is 1071121696235 plus -0.1?
1071121696234.9
What is -13.6871534864 + -0.3?
-13.9871534864
What is 137.82447 + -0.19439?
137.63008
What is 137187047 less than 56895?
-137130152
Total of 1090033477540 and -1.6.
1090033477538.4
What is -240674882.4871 + -0.07?
-240674882.5571
What is -4 plus -14978367530?
-14978367534
What is 10179.351 + 3645?
13824.351
Sum -3392.1 and -0.350530949.
-3392.450530949
What is 1667 minus 33380.585?
-31713.585
What is 1.02657815 less than 0.79489?
-0.23168815
Put together -188748435780 and 14.
-188748435766
Put together 7577620525891 and 0.007.
7577620525891.007
Add together 0.2008 and 17694534442.
17694534442.2008
-0.68 - 0.640929017
-1.320929017
Calculate -2645706890.28 - -0.1.
-2645706890.18
13593022+2.5368
13593024.5368
What is 8589800506 - -0.025?
8589800506.025
Calculate 5837.8859772 + 0.02.
5837.9059772
What is 102451 plus -45522404?
-45419953
Sum -12.69 and 27800886567.
27800886554.31
10467357892+136155
10467494047
What is the distance between -0.0476851306234 and -1?
0.9523148693766
Add 1233.4694231993 and 0.5.
1233.9694231993
What is the difference between -27 and 893637931?
893637958
-0.26 + 155745428188
155745428187.74
4+500883738874
500883738878
Put together 27.7 and -388693304739.
-388693304711.3
Work out 21325 + 0.03130058.
21325.03130058
Calculate -1097661350 + 45945.
-1097615405
Sum 35093802111 and 0.
35093802111
Work out 49.03 - -238914.15.
238963.18
-4765.341562 - -4041
-724.341562
54020 + 5.32717
54025.32717
Total of -4.6184 and -403375178.
-403375182.6184
What is -0.01457 less than -29711740911?
-29711740910.98543
What is the difference between 5202.944 and -0.16658?
5203.11058
Total of 13119751864 and 14.
13119751878
What is -0.6063 take away -3081869224?
3081869223.3937
Sum 791380824 and 131829.
791512653
What is 43986037 - -23.722?
43986060.722
Subtract 142082540.5 from -0.082.
-142082540.582
What is -0.0259 less than 7169.605378?
7169.631278
-58536232 + -1309324
-59845556
5+-21029469589398
-21029469589393
-226814.7 + 90.089772
-226724.610228
What is 1073673.3341 + -34?
1073639.3341
Work out -139222963 - -0.084906.
-139222962.915094
What is 2 less than 741434638.53811?
741434636.53811
Add together 120034 and 3776.6.
123810.6
146385603 - 937
146384666
0 - 308161138183
-308161138183
Calculate 0.5 + -37331639.6484.
-37331639.1484
What is -33384701574527 take away -4?
-33384701574523
What is 1.1 minus 190483919900?
-190483919898.9
4816999273.1 - -17
4816999290.1
Work out 0.695 + 2268.0138.
2268.7088
What is 2340.15392678 + -3?
2337.15392678
Put together -47504073263 and -0.27.
-47504073263.27
What is the distance between 14736096978.771 and -3?
14736096981.771
Add 40424711547 and -0.4.
40424711546.6
What is -32033.94629 - -0.17?
-32033.77629
Sum -0.2 and -12.11628628954.
-12.31628628954
What is the difference between 0.05188 and 233.09168919?
233.03980919
Add -0.4997684 and -5112207.
-5112207.4997684
What is 2.76884 take away -1625.0041?
1627.77294
Sum -5 and -62387342738.
-62387342743
What is 284274.7222 take away -12201?
296475.7222
What is -10898.308868 + -2?
-10900.308868
Subtract 4 from 0.237922013864.
-3.762077986136
2.163766 + 15718
15720.163766
Work out -0.2 - -17700649285.7.
17700649285.5
What is 0.222 plus 5.3462478?
5.5682478
What is -744564521 - 0.2268?
-744564521.2268
Add 36337.8484 | {
"pile_set_name": "DM Mathematics"
} |
he c'th term of 191, 380, 569, 758, 947?
189*c + 2
What is the v'th term of 1404, 1417, 1438, 1467, 1504?
4*v**2 + v + 1399
What is the u'th term of 133, 161, 205, 265, 341?
8*u**2 + 4*u + 121
What is the a'th term of -414, -415, -416?
-a - 413
What is the b'th term of 4, 1, 6, 31, 88, 189, 346, 571?
2*b**3 - 8*b**2 + 7*b + 3
What is the p'th term of 22, 62, 104, 148, 194, 242, 292?
p**2 + 37*p - 16
What is the s'th term of 546, 1097, 1650, 2205?
s**2 + 548*s - 3
What is the p'th term of -8136, -8131, -8124, -8115, -8104?
p**2 + 2*p - 8139
What is the i'th term of -31, -69, -107, -145, -183, -221?
-38*i + 7
What is the m'th term of 265, 235, 205, 175, 145?
-30*m + 295
What is the h'th term of -177, -161, -131, -81, -5, 103, 249, 439?
h**3 + h**2 + 6*h - 185
What is the q'th term of 1973, 1971, 1967, 1961, 1953?
-q**2 + q + 1973
What is the q'th term of 20, 43, 66, 89?
23*q - 3
What is the q'th term of -321, -320, -319, -318?
q - 322
What is the x'th term of 4, 16, 32, 46, 52, 44?
-x**3 + 8*x**2 - 5*x + 2
What is the x'th term of 55, 137, 245, 373, 515, 665, 817, 965?
-x**3 + 19*x**2 + 32*x + 5
What is the s'th term of 636, 1250, 1864, 2478, 3092, 3706?
614*s + 22
What is the z'th term of -598, -593, -588?
5*z - 603
What is the f'th term of 101, 130, 207, 356, 601?
4*f**3 + f + 96
What is the q'th term of 1813, 1814, 1815, 1816, 1817?
q + 1812
What is the y'th term of -90, -86, -78, -66?
2*y**2 - 2*y - 90
What is the k'th term of -311, -1185, -2641, -4679, -7299?
-291*k**2 - k - 19
What is the v'th term of 0, 4, 8, 12?
4*v - 4
What is the y'th term of 135, 535, 1203, 2139, 3343, 4815, 6555?
134*y**2 - 2*y + 3
What is the j'th term of 75, 115, 155, 195, 235?
40*j + 35
What is the u'th term of -831, -1659, -2475, -3273, -4047?
u**3 - 835*u + 3
What is the b'th term of 95, 90, 93, 110, 147, 210?
b**3 - 2*b**2 - 6*b + 102
What is the g'th term of 45, 82, 119, 156, 193, 230?
37*g + 8
What is the g'th term of -491, -502, -513, -524?
-11*g - 480
What is the a'th term of 8, 14, 24, 38?
2*a**2 + 6
What is the i'th term of 577, 1106, 1635?
529*i + 48
What is the s'th term of -21, -24, 19, 132, 339, 664?
4*s**3 - s**2 - 28*s + 4
What is the h'th term of 4, -21, -72, -155, -276, -441?
-h**3 - 7*h**2 + 3*h + 9
What is the n'th term of 30, 63, 104, 153, 210, 275?
4*n**2 + 21*n + 5
What is the t'th term of -83, -163, -243?
-80*t - 3
What is the k'th term of 10, 32, 54, 76, 98?
22*k - 12
What is the m'th term of 20, 81, 180, 317?
19*m**2 + 4*m - 3
What is the c'th term of 303, 629, 953, 1275, 1595, 1913, 2229?
-c**2 + 329*c - 25
What is the l'th term of 163, 344, 525, 706?
181*l - 18
What is the k'th term of -30, -59, -90, -129, -182?
-k**3 + 5*k**2 - 37*k + 3
What is the z'th term of -568, -2279, -5126, -9103, -14204?
z**3 - 574*z**2 + 4*z + 1
What is the h'th term of 128, 134, 138, 140, 140, 138, 134?
-h**2 + 9*h + 120
What is the r'th term of 46, 91, 160, 247, 346, 451, 556, 655?
-r**3 + 18*r**2 - 2*r + 31
What is the j'th term of 28, 40, 40, 22, -20, -92?
-j**3 + 19*j + 10
What is the g'th term of -27, -69, -135, -225?
-12*g**2 - 6*g - 9
What is the w'th term of -23, -47, -71, -95, -119, -143?
-24*w + 1
What is the b'th term of 94, 408, 932, 1666, 2610?
105*b**2 - b - 10
What is the s'th term of -544, -543, -542, -541, -540?
s - 545
What is the d'th term of 41, 5, -35, -79, -127, -179?
-2*d**2 - 30*d + 73
What is the k'th term of -26, 48, 188, 406, 714, 1124, 1648, 2298?
2*k**3 + 21*k**2 - 3*k - 46
What is the j'th term of -31882, -31886, -31892, -31900?
-j**2 - j - 31880
What is the q'th term of -36, -50, -64, -78, -92, -106?
-14*q - 22
What is the h'th term of 30, 89, 156, 237, 338, 465, 624, 821?
h**3 - 2*h**2 + 58*h - 27
What is the h'th term of -10, -29, -48?
-19*h + 9
What is the p'th term of -8, -9, -18, -35, -60?
-4*p**2 + 11*p - 15
What is the h'th term of -28, -54, -80, -106, -132, -158?
-26*h - 2
What is the n'th term of 55, 53, 43, 19, -25, -95, -197?
-n**3 + 2*n**2 - n + 55
What is the n'th term of -31, -25, -19, -13, -7, -1?
6*n - 37
What is the r'th term of -224, -936, -2122, -3782, -5916?
-237*r**2 - r + 14
What is the c'th term of -2, 3, 16, 43, 90, 163?
c**3 - 2*c**2 + 4*c - 5
What is the q'th term of 261, 526, 793, 1062, 1333?
q**2 + 262*q - 2
What is the k'th term of 9, 52, 137, 270, 457, 704, 1017?
k**3 + 15*k**2 - 9*k + 2
What is the n'th term of -94, -191, -288, -385, -482, -579?
-97*n + 3
What is the t'th term of -83, -77, -69, -59, -47, -33, -17?
t**2 + 3*t - 87
What is the u'th term of -2162, -2163, -2164, -2165, -2166?
-u - 2161
What is the t'th term of -139, -147, -155, -163, -171, -179?
-8*t - 131
What is the q'th term of -2, -28, -72, -134, -214?
-9*q**2 + q + 6
What is the y'th term of -1439, -1440, -1441?
-y - 1438
What is the d'th term of 67, 168, 337, 574, 879?
34*d**2 - d + 34
What is the f'th term of -1021, -1023, -1023, -1021?
f**2 - 5*f - 1017
What is the a'th term of 2854, 2857, 2860, 2863, 2866, 2869?
3*a + 2851
What is the b'th term of -93, -172, -237, -288, -325?
7*b**2 - 100*b
What is the o'th term of -143, -154, -167, -182?
-o**2 - 8*o - 134
What is the l'th term of 65, 263, 601, 1085, 1721, 2515, 3473, 4601?
l**3 + 64*l**2 - l + 1
What is the c'th term of -49, -85, -121, -157, -193?
-36*c - 13
What is the t'th term of 16, 17, 18, 19?
t + 15
What is the c'th term of -277, -555, -833, -1111?
-278*c + 1
What is the g'th term of 125, 262, 399?
137*g - 12
What is the f'th term of 38, 45, 52?
7*f + 31
What is the t'th term of 54, 192, 428, 768, 1218?
t**3 + 43*t**2 + 2*t + 8
What is the o'th term of -34, -43, -50, -61, -82, -119?
-o**3 + 7*o**2 - 23*o - 17
What is the l'th term of 2055, 4106, 6157?
2051*l + 4
What is the o'th term of -437, -436, -435, -434, -433, -432?
o - 438
What is the b'th term of -1110, -1105, -1098, -1089, -1078?
b**2 + 2*b - 1113
What is the i'th term of -24, -45, -102, -213, -396, -669?
-3*i**3 - 21
What is the k'th term of -47, -94, -141, -188, -235?
-47*k
What is the d'th term of -226, -423, -620, -817?
-197*d - 29
What is the k'th term of 20080, 20079, 20078, 20077, 20076, 20075?
-k + 20081
What is the g'th term of 14, 29, 44, 59, 74, 89?
15*g - 1
What is the f'th term of -28, 2, 46, 98, 152?
-f**3 + 13*f**2 - 2*f - 38
What is the d'th term of 87, 171, 243, 297, 327?
-d**3 + 91*d - 3
What is the v'th term of 16527, 16526, 16525, 16524, 16523?
-v + 16528
What is the l'th term of -50, -108, -168, -230, -294, -360?
-l**2 - 55*l + 6
What is the u'th term of 14, 38, 62, 86, 110, 134?
24*u - 10
What is the m'th term of 1, -18, -37, -56?
-19*m + 20
What is the m'th term of -69, -269, -599, -1059, -1649, -2369, -3219?
-65*m**2 - 5*m + 1
What is the r'th term of 156, 312, 468?
156*r
What is the t'th term of -2, -8, -38, -104, -218, -392, -638, -968?
-2*t**3 + 8*t - 8
What is the g'th term of 5, 0, -1, 8, 33, 80, 155?
g**3 - 4*g**2 + 8
What is the m'th term of 69, 69, 59, 33, -15, -91?
-m**3 + m**2 + 4*m + 65
What is the i'th term of 566, 1132, 1696, 2258, 2818, 3376, 3932?
-i**2 + 569*i - 2
What is the j'th term of -135, -134, -133, -132, -131?
j - 136
What is the u'th term of -18, -59, -128, -225, -350, -503?
-14*u**2 + u - 5
What is the u'th term of 85, 371, 855, 1537?
99*u**2 - 11*u - 3
What is the s'th term of -79, -87, -101, -121, -147, -179, -217?
-3*s**2 + s - 77
What is the r'th term of -146, -294, -442, -590, -738?
-148*r + 2
What is the o'th term of -18701, -37415, -56139, -74879, -93641, -112431?
-o**3 + o**2 - 18710*o + 9
What is the x'th term of 2, -9, -36, -79, -138?
-8*x**2 + 13*x - 3
What is the q'th term of -242, -511, -806, -1127, -1474, -1847, -2246?
-13*q**2 - 230*q + 1
What is the f'th term of -5748, -5743, -5738, -5733, -5728, -5723?
5*f - 5753
What is the w'th term of 170, 161, 150, 137, 122?
-w**2 - 6*w + 177
What is the r'th term of -9, 28, 75, 138, 223?
r**3 - r**2 + 33*r - 42
What is the p'th term of -53, -104, -157, -212, -269?
-p**2 - 48*p - 4
What is the v'th term of 1054, 1055, 1056, 1057?
v + 1053
What is the i'th term of -193, -761, -1709, -3037?
-190*i**2 + 2*i - 5
What is the t'th term of 13, 36, 55, 70?
-2*t**2 + 29*t - 14
What is the w'th term of 24, 31, 52, 93, 160?
w**3 + w**2 - 3*w + 25
What is the x'th term of 3069, 6132, 9195?
3063*x + 6
What is the o't | {
"pile_set_name": "DM Mathematics"
} |
206445077 a composite number?
False
Is 26735405633 a prime number?
False
Is 148150921 composite?
False
Is 412382693 prime?
False
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False
Is 3466782767 prime?
False
Is 13298525921 prime?
True
Is 994816787 a prime number?
True
Is 1629311279 composite?
True
Is 1413649481 prime?
True
Is 4830504971 a composite number?
True
Is 17214789773 prime?
False
Is 4048769713 a prime number?
True
Is 3708116417 a composite number?
False
Is 11382184727 a prime number?
True
Is 71174964865 composite?
True
Is 1628528071 prime?
False
Is 3554773529 prime?
True
Is 22880861129 prime?
False
Is 28028943331 a prime number?
True
Is 1164046757 prime?
False
Is 5882159939 composite?
False
Is 11495040673 a composite number?
False
Is 858138811 prime?
True
Is 30283583321 a composite number?
True
Is 1513330097 prime?
True
Is 1790617757 a prime number?
True
Is 259330541 a prime number?
True
Is 1679762647 composite?
True
Is 12076570451 composite?
True
Is 35086537399 prime?
True
Is 61946084063 prime?
True
Is 2510454931 prime?
True
Is 626569159 prime?
True
Is 8370911009 a composite number?
False
Is 56648262845 prime?
False
Is 6118449731 prime?
False
Is 951006253 composite?
False
Is 1707135013 a composite number?
True
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False
Is 106176346099 a composite number?
True
Is 1045588357 composite?
True
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False
Is 2224264313 composite?
False
Is 673128341 a prime number?
False
Is 1700305393 prime?
True
Is 2303727161 prime?
True
Is 424360897 a prime number?
False
Is 24856723081 prime?
False
Is 909522667 a prime number?
False
Is 901014061 a prime number?
False
Is 6913026847 composite?
False
Is 5267297653 a composite number?
True
Is 15357034391 a composite number?
True
Is 56735981 composite?
False
Is 4927584073 prime?
True
Is 297137204489 a prime number?
True
Is 23162439 a composite number?
True
Is 443380947 a composite number?
True
Is 56814115 a composite number?
True
Is 82246167273 a prime number?
False
Is 24634007933 a composite number?
False
Is 15820144601 prime?
False
Is 71524969 composite?
False
Is 956106691 composite?
False
Is 5591405767 a prime number?
False
Is 38443746687 a prime number?
False
Is 5222875523 prime?
False
Is 2570924821 a prime number?
False
Is 32931607439 composite?
False
Is 17102797913 composite?
True
Is 22624821091 composite?
True
Is 12608935673 composite?
True
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True
Is 554143741 prime?
False
Is 8798346329 prime?
False
Is 381490717 prime?
False
Is 1998006781 a prime number?
True
Is 5625989659 a prime number?
True
Is 4544414081 a composite number?
False
Is 2368290487 prime?
False
Is 9353398611 a prime number?
False
Is 5296265671 a composite number?
False
Is 275994331 composite?
False
Is 15987519451 prime?
True
Is 664137239 a prime number?
False
Is 405030569 composite?
True
Is 175372727 composite?
False
Is 1305205621 a prime number?
True
Is 4678163167 a composite number?
True
Is 14426852767 a prime number?
False
Is 38338963543 a composite number?
True
Is 2284434457 a prime number?
True
Is 429482687 a prime number?
False
Is 865054573 a composite number?
True
Is 7863962209 a composite number?
True
Is 4500864131 prime?
True
Is 72980537 prime?
False
Is 5993800355 a composite number?
True
Is 4997730067 composite?
True
Is 10018456979 a composite number?
True
Is 314135491 a prime number?
False
Is 37963481 a prime number?
True
Is 17545874699 a composite number?
False
Is 899350649 prime?
False
Is 6167380327 prime?
True
Is 83549891 prime?
True
Is 1019543581 composite?
True
Is 2751658309 a composite number?
True
Is 263467441 prime?
True
Is 7048180247 prime?
False
Is 1121158373 a composite number?
True
Is 20229401239 prime?
True
Is 2939928395 a prime number?
False
Is 79004198633 a prime number?
False
Is 581658059 composite?
False
Is 917242151 composite?
True
Is 8524243153 prime?
False
Is 261692803 prime?
True
Is 5574252869 a composite number?
False
Is 998577751 prime?
True
Is 2173510481 a prime number?
False
Is 47458227233 a composite number?
False
Is 889304054 prime?
False
Is 215925835 composite?
True
Is 41961748061 a composite number?
True
Is 7168180193 prime?
True
Is 4983735399 composite?
True
Is 2286698147 a composite number?
False
Is 309307891 a prime number?
True
Is 5469562939 a prime number?
True
Is 35503011587 a prime number?
False
Is 17882875811 a prime number?
False
Is 17052638641 a composite number?
False
Is 4190230223 prime?
True
Is 203285587 a composite number?
True
Is 277840841 a composite number?
True
Is 4026449181 prime?
False
Is 1088801011 a composite number?
False
Is 1872532367 composite?
False
Is 116720026103 a prime number?
True
Is 9574678573 a composite number?
False
Is 114698679 a composite number?
True
Is 87666871 prime?
True
Is 292307473 composite?
True
Is 212757491 prime?
False
Is 985334639 composite?
False
Is 15496503839 prime?
True
Is 1468151353 prime?
True
Is 690813259 composite?
False
Is 332399033 composite?
True
Is 14364219473 composite?
True
Is 43992666583 composite?
False
Is 47745037 composite?
False
Is 827062573 composite?
False
Is 19120406611 composite?
False
Is 7627228783 composite?
True
Is 45850836503 prime?
True
Is 33137936774 composite?
True
Is 2759045773 prime?
False
Is 78902694977 a prime number?
True
Is 70905089 a prime number?
True
Is 895426787 prime?
True
Is 2429316811 a composite number?
True
Is 1692654031 a composite number?
True
Is 2032091263 a composite number?
False
Is 300478951 composite?
False
Is 1194806539 a prime number?
True
Is 2587608731 a composite number?
False
Is 172737557 a composite number?
False
Is 147005407 a prime number?
True
Is 1409714963 prime?
True
Is 2287543897 prime?
False
Is 46016125915 a prime number?
False
Is 1093106629 a composite number?
True
Is 48126271211 composite?
False
Is 4176352637 composite?
True
Is 68292832303 composite?
False
Is 8081036063 composite?
False
Is 48921256613 composite?
False
Is 133341176363 a composite number?
True
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False
Is 21804121 prime?
True
Is 6074514937 composite?
False
Is 48973242023 prime?
True
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False
Is 1973998295 a prime number?
False
Is 1039013317 prime?
False
Is 1195429637 a prime number?
False
Is 1284585833 a composite number?
False
Is 4144410481 composite?
False
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False
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True
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True
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False
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True
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True
Is 1695142094 prime?
False
Is 11820703267 prime?
True
Is 20169904283 a prime number?
True
Is 2296403533 a prime number?
False
Is 15325102889 composite?
False
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False
Is 2017493837 a composite number?
True
Is 3891091549 prime?
True
Is 85859768513 a prime number?
True
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False
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False
Is 8006959799 composite?
False
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False
Is 6149083361 a prime number?
True
Is 548447357 a composite number?
False
Is 214086629 a prime number?
True
Is 1892767533 composite?
True
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False
Is 237773827 a prime number?
True
Is 55639034527 a composite number?
True
Is 5969442631 a prime number?
False
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False
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True
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True
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True
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True
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False
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True
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False
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True
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False
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False
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False
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False
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False
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True
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False
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False
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False
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True
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True
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False
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True
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True
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False
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True
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False
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True
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False
Is 36080954179 a prime number?
True
Is 2202803989 a prime number?
False
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False
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False
Is 1625464597 prime?
True
Is 16980041471 a prime number?
True
Is 17 | {
"pile_set_name": "DM Mathematics"
} |
c
Let g = 1 + -19. Let u = 2.8663 - -0.1337. What is the fourth biggest value in u, -3, 3/4, g?
g
Let n = -26/1813 - 1501/21756. What is the fourth smallest value in n, -12, -3, -0.15, 0.4?
n
Let o be (57/(-209))/(7 + 2328/(-330)). Let h = 1.5 + -2. Let y = 1 + h. Which is the second biggest value? (a) o (b) -1/7 (c) 2 (d) y
c
Let p = -2661/5 - -18642/35. Which is the fifth biggest value? (a) -0.1 (b) p (c) -11 (d) 1 (e) -8
c
Suppose 0 = -3*d + 6*d. Let f(l) = -2*l + 15. Let s be f(7). Let u be (-412)/(-309) - (s - 1). Which is the third biggest value? (a) u (b) 2/19 (c) d
c
Suppose -4*v - k = -117, k = v - 735 + 702. Let f = 8 - 8.6. Which is the second smallest value? (a) -2 (b) 2 (c) v (d) f
d
Let s = -232.1 + 3.1. Let z = s - -225. Suppose 0 = 3*i + h + 7, i + 5*h = 2*h - 13. Which is the third biggest value? (a) z (b) i (c) -0.5
a
Let l = -19 - -18.9. Let j = 138.76 + -0.76. Let k = -137.94 + j. Which is the biggest value? (a) 5 (b) k (c) 1 (d) l
a
Suppose 11*t - 3032 + 810 = 0. Let z = t + -205. What is the second biggest value in z, 1/77, 0, 0.1?
1/77
Let m = 2.006 + -91.306. Let r = m - -89. Let a = -172.89 + 173. What is the smallest value in a, -0.4, r?
-0.4
Let r = -5958 + 5955. Let x = 1.08 - 0.08. Which is the fourth biggest value? (a) -36 (b) x (c) -0.2 (d) r
a
Let w = -14418 + 14415. Which is the third smallest value? (a) 8 (b) w (c) -0.34
a
Let o = -304 + 244.9. Let x = -99 - -41. Let d = x - o. What is the second biggest value in d, 2/3, -0.4, 0.4?
2/3
Let p be (1/(-27))/(3/(282024/(-8))). Let o = p - 435. What is the smallest value in -1/3, o, 11?
-1/3
Let s = -13 + 145/11. Let f = 0.02 - -1.98. Let x = -909 - -5453/6. Which is the second smallest value? (a) f (b) x (c) s (d) -2/23
d
Let y = -13.1 + -78.9. Let r = y - -135. Let s = r + -40. Which is the second smallest value? (a) -1/3 (b) -4 (c) s
a
Let j = -2835.7 + 2836. Which is the biggest value? (a) 8/13 (b) j (c) -2/11
a
Suppose 3*j + 8 = -1. Let m = 98 + -395/4. Let q = -236 + 236.7. Which is the biggest value? (a) m (b) q (c) j
b
Let d = 1205/7 + -173. Let j = d - -5/14. What is the second biggest value in j, -7.5, -2/3?
-2/3
Let h = -3665/1554 + -79/222. What is the third biggest value in 1/5, h, -2/13, -0.2?
-0.2
Let n = -94.3 + 213.3. Which is the smallest value? (a) 0.3 (b) -2/15 (c) n
b
Let z = -5 + 2. Let y be (-34)/2 + (-2 - -6) + -2. Let k be ((y/25)/(-3))/(2/(-5)). Which is the fourth biggest value? (a) 0.3 (b) 0 (c) k (d) z
d
Let n = 1667/8696 + -23318953/55958760. Let l = n - -2/715. Let g = -329/6 - -55. Which is the third smallest value? (a) l (b) g (c) 5 (d) -0.04
b
Let c = -0.9927 + 2.9927. What is the fourth smallest value in 4/13, 0.4, c, 0.04?
c
Let d = 0.2 - 0.5. Let f = 35.093 - 34.503. Which is the second smallest value? (a) d (b) 4 (c) f
c
Let s = -0.66 - -6.46. Let y = s - 1.8. Let t = -0.14 + 0.04. Which is the third biggest value? (a) -2 (b) 0.4 (c) y (d) t
d
Let l = 257/4 - 64. Let o = -11/3 - -4. Let k = -0.694 + -3.306. What is the second biggest value in k, l, o?
l
Let w = -4914 - -4920. Which is the biggest value? (a) -4 (b) w (c) -3 (d) -2 (e) 3/16
b
Let o = 12873 - 12873.3. Which is the smallest value? (a) 2 (b) -0.8 (c) -5 (d) 1.5 (e) o
c
Let z(y) = -49*y + 5963. Let n be z(118). What is the second smallest value in -3/5, n, -0.4?
-0.4
Let m = 4.568 + 2.232. What is the second biggest value in m, -2/3, 4, -0.2, -4?
4
Suppose 870*k - 883*k - 13 = 0. What is the third smallest value in -1170, k, -4/5?
-4/5
Let g = 38/5 - 8. Let i = -940.2094 + -2.0906. Let u = i + 942. Which is the second smallest value? (a) 0.3 (b) g (c) -4 (d) u
b
Let y = -2 - -2. Suppose -208*o = 199*o - 455*o - 240. Which is the third smallest value? (a) o (b) 0.1 (c) 2/13 (d) y
b
Let f = 542 - 541.8. Let u = -112.4 - -63.3. Let j = u + 43. What is the third smallest value in j, 5, f?
5
Suppose 79*h + 4 = 77*h, 0 = -a + h - 1. Let d = 286.2 - 286. What is the smallest value in d, a, -1.7, 3/2?
a
Let z = -764 - -760. Let h = 34/9 + -179/45. What is the smallest value in -0.6, z, h?
z
Let q = 17.7 - 7. Let o = 12.7 - q. Which is the second biggest value? (a) o (b) -1/3 (c) 53
a
Let h = 3.94 - -0.06. Let w = 6168 + -6171. Let y = 67.5 + -67. Which is the fourth biggest value? (a) h (b) y (c) -0.3 (d) w
d
Let u = -0.09 - 0.01. Let z = -67 + 68.15. Let d = 4.15 - z. Which is the third biggest value? (a) d (b) u (c) 5
b
Let d = -0.27 - -276.27. Let k = d + -277. What is the biggest value in 1/3, k, 3, -2/5?
3
Let x = -2.654 + 2.954. Which is the third smallest value? (a) -0.052 (b) x (c) 1/4 (d) -3/7 (e) 0.2
e
Let g = -11872 + 11649. Which is the smallest value? (a) -3/7 (b) g (c) 3 (d) -0.1 (e) -8
b
Let w = 9351/1462 + -223/34. Which is the biggest value? (a) -1/3 (b) 5 (c) w
b
Let d = -0.098 + 9.098. Which is the third biggest value? (a) d (b) -156 (c) -1
b
Let x = -503/6 + 1507/18. Which is the smallest value? (a) x (b) -8.4 (c) -3/2 (d) 0.3
b
Let m = 685.2014 + -684. Let v = m + -0.1014. Let w = 0.2 + 0. What is the fourth biggest value in w, -0.1, -1/4, v?
-1/4
Let r = 458 + -460. Which is the third biggest value? (a) -0.2 (b) r (c) 33.2
b
Let o = 2094 - 2092. What is the third biggest value in -2, o, 131?
-2
Let k = -9476513/379 - -25004. Which is the fourth smallest value? (a) 3/5 (b) -5 (c) k (d) -1 (e) 4/5
a
Let l = 4 + 12. Let b = 41720 - 41724. What is the third biggest value in b, 5, l?
b
Let q = -871/2065 + -2/295. Which is the biggest value? (a) 4 (b) -2/17 (c) -1.6 (d) q
a
Let s = -4841.9 + 4842. Which is the second biggest value? (a) -2/11 (b) s (c) 3.45
b
Suppose -13*s = -9*s + 8. Let j = -154 - -154. Which is the third smallest value? (a) -5 (b) j (c) s
b
Let t = 172280/7 + -24611. What is the third biggest value in 1, 1/2, 4, t?
1/2
Let f = -25051 - -25053. Which is the smallest value? (a) -317.1 (b) f (c) 0
a
Let q = 377/46 + 3653/138. Which is the smallest value? (a) -20 (b) -4 (c) q (d) 5
a
Let j(d) = -3*d**2 - d + 21. Let f be j(-3). Let i = -0.23 - 0.07. What is the second biggest value in f, i, -5?
f
Let n = -0.116 - -0.016. What is the fourth smallest value in 3, -3/5, n, -5?
3
Suppose -4*g = -6*g. Let c = 65524 - 65534. What is the fourth smallest value in g, 1, c, 4?
4
Let x = -1795.1 + 1795. Which is the biggest value? (a) x (b) 57 (c) 3
b
Let y = 968 + -969. Which is the smallest value? (a) 288 (b) -2 (c) y
b
Let r be (-19 - -2)/(-1 + 2). Let s = -12 - r. Let g be ((-2)/8)/((-73)/(-876)). What is the third smallest value in -7/5, s, g?
s
Suppose 1 = 9*g + 1. Let p = -5.9 + -4.1. What is the second smallest value in 0.5, p, g?
g
Let p = 9774 - 9792. What is the biggest value in -1, -10, -0.2, 0, p?
0
Let d be ((-2)/(-7))/(18/42). Let l(o) = o**3 + 2*o**2 - 5*o + 9. Let h be l(-4). Let i = -377 - -380. What is the fourth biggest value in i, d, 2/5, h?
h
Suppose -5*g = 4 - 19. Let h = -362 - -351. Let d be (h/55)/(1/(-5)). Which is the third smallest value? (a) g (b) -1 (c) d
a
Let g = 977 - 1955/2. What is the third smallest value in g, 0.1, 2/7?
2/7
Let f = -209652/5 + 41930. Let z = -0.16 - 2.84. What is the fourth biggest value in f, 5, z, 1/11?
z
Let u = -0.3163 + 0.3163. Let t = 0.8 - 0.85. Let p = -4.95 + t. Which is the fourth biggest value? (a) -1/5 (b) p (c) u (d) -3
b
Let k = 441756.95051 - 441752. Let q = k + 0.03649. Let z = q - -0.013. What is the third biggest value in z, -1/3, 1, -4?
-1/3
Let k = 16 + -15.93. Let z = 0.347 - -1.867. Let p = z + -0.214. Which is the fourth smallest value? (a) -4 (b) p (c) -1 (d) k
b
Let x = 10.5008 - 0.1908. Let w = -1.31 + x. Let r = -3 + 5. What is the third biggest value in w, r, -2, -5?
-2
Let h = -7/2134 + 8585/14938. Which is the fourth smallest value? (a) 2/7 (b) h (c) -1 (d) -0.7 (e) 1/7
a
Let o = 1/2882 + 3601/4323. What is the third smallest value in -37, -9, 1/6, o?
1/6
Let f(i) = -i**2 - 3*i + 150. Let z be f(-14). What is the fourth biggest value in z, -11, 5, 0.6?
-11
Suppose 0 = -2*o + 1107 - 961. Let z be -1 + 7 + o/(-10) - -1. Which is the second biggest value? (a) -3 (b) 4 (c) z
c
Let j = 0.711 - -61.589. Let d = -62 + | {
"pile_set_name": "DM Mathematics"
} |
-z - 0, 4*o = f + j for o.
1
Let o = 4 + -6. Let u be 31 + (-1 - 0) + o. Suppose 3*q - 5 = 5*a - u, a + 2*q = 2. Solve 14 = -k + a*v, 4*v - 1 = 15 for k.
2
Suppose -2*d - 26 = -4*z, -d = -z - 2*d - 1. Solve -s = a - 1 + 4, z*s + 3*a + 12 = 0 for s.
-3
Suppose 5*z = 11 + 9. Solve -5*l + w = 5, 0 = z*l + w - 1 + 5 for l.
-1
Let v be 2/(-4) + 75/30. Solve -6*y = -3*y - v*w - 11, -4*y = 3*w - 9 for y.
3
Let r = 36 - 21. Solve 0 = h + 4*x - r, x = 2*h - x for h.
3
Let m = -5 - -7. Let t(r) = -r**2 - 4*r. Let k be t(-3). Solve -y - m*o + 6*o = -16, -k*o - 9 = 0 for y.
4
Suppose 0 = -5*w + 15, -w + 3 = 4*u - 2*u. Let l = 1 + u. Solve 4*b = -3*p, 4*b + l = -11 for p.
4
Suppose 3 = 2*l + 1. Suppose 3*w + 2 = -l. Let c = w + 1. Solve u + 4*u = -4*r - 5, 3*u - 4*r - 29 = c for u.
3
Suppose 0 = 3*q - 3*f, q - 2*f + 6 = 3. Suppose 0 = k + q*k - 20. Solve -8 + 23 = -3*n + 3*y, -3*n = -k*y + 25 for n.
0
Let w = -7 + 7. Suppose 3*z - 2*p - 18 = 0, -5*p + 15 = -w. Let y be 1 - -7*3/3. Solve f = 3*c + y, -z - 12 = -4*f for c.
-1
Suppose -2*f + 5 = -f. Suppose f = -5*g + 35. Solve 25 = 5*k, -3*k + 9 = -3*s + g*s for s.
-2
Let g = 105 + -101. Solve -5*k + 2*b = -9, -g*k - 4*b = -0*k - 24 for k.
3
Suppose -d + 6*d = 10. Suppose 3 = -h + d*h. Solve 3*b + 18 = -h*f + f, 20 = -5*b for f.
-3
Let f(g) = 22*g. Let m be f(1). Suppose -m = -2*t + 2*c + 2*c, -5*t + 71 = -2*c. Solve -7*a = -3*a + 5*j + 45, -t = 2*a + j for a.
-5
Let v = 9 - 9. Suppose -5*q - 5 + 15 = v. Solve s - 3*x = -13, s - x = -q*x + 3 for s.
-1
Let x be 2/(-8) + (-15)/20. Let q be (-3)/x*5/15. Solve -o - r + 4 = q, -21 = -3*o + 3*r for o.
5
Suppose -4*c + 240 = c. Let i = 76 - c. Solve 4*g = -g + 4*r + 36, 0 = 2*g - 5*r - i for g.
4
Let d = 36 - 20. Solve 5*q + y + 12 = -y, q = 3*y - d for q.
-4
Let x(u) = u + 13. Let f be x(-10). Solve 5*y + 7 = -c + 4*c, f*c - 3*y - 3 = 0 for c.
-1
Suppose 0*z + 4 = 2*z. Solve w - 4*y + 10 = -w, 13 = -z*w + 5*y for w.
1
Suppose -3*h = -3*y - 2*y + 9, -3*y - 5*h + 19 = 0. Suppose -28 = -3*p + p. Solve v - p = 5*t - 2, y*v - 4*t = 3 for v.
-3
Let d = -10 - -5. Let o(g) = -g**2 - 5*g + 5. Let j be o(d). Solve 25 = 5*t - j*u, 5*u = -t - 2*t - 9 for t.
2
Let d be ((-11)/33)/(1/(-6)). Suppose 5*h = 5 + 15. Solve -h = 3*w + 3*f + f, -w - d*f = 0 for w.
-4
Let y = -3 - -3. Suppose -10 = -5*u - y. Solve 5*v - 15 = 0, -3*v + 6 = h + u*h for h.
-1
Let m(t) = -t**2 - 10*t + 30. Let a be m(-12). Solve -5*z - 3*q = -23 - a, 23 = 5*z + q for z.
4
Let i(m) = m**3 + 11*m**2 + 10*m + 6. Let x be i(-10). Solve -3*u - x = 3*p - 4*p, 6 = -p - u for p.
-3
Suppose -2*p = 3*p - 60. Solve 3*t = -2*k + 9, 0*k + k = -3*t + p for t.
5
Suppose -k = -2*k + 1. Let t be 74/5 + k/5. Solve 0 = 4*p + 5*q + 25, -p + t = -5*p - 3*q for p.
0
Suppose 2*f - 21 = f - 4*p, 0 = 5*f - 3*p - 13. Solve l - 4*l + 3*u = 18, 2 = 2*l + f*u for l.
-4
Let h(d) = 24*d**2 - 1. Let a be h(1). Let c = a + -18. Suppose -2*t - 10 = 0, 2*t + 25 = 5*x - 0*t. Solve 3*l = -x*i - 9, i = -i - c*l for i.
-5
Suppose -7*f + 3*f - 4*l - 4 = 0, l = -2. Let w be 2 - 0/(3 + f). Solve w*o - 3*q = 7, -5*o = 5*q - 28 - 2 for o.
5
Let v be -18*6/8*4/(-6). Solve 10 = -3*t - 2*t, -3*t = f + v for f.
-3
Let s = -35 + 113. Suppose 2*v = 5*v + s. Let a = v + 38. Solve -b + 1 = -2*t - 3, -2*t = 3*b + a for b.
-2
Let w = 14 + -9. Let p = -212 + 214. Solve f = -i + w, -5*f + p*i - 2 + 6 = 0 for f.
2
Let w be 1/6 + (-105)/(-18). Let o = -7 - -16. Let q = o - 6. Solve 4*l - 3*d - 3 = -0, 0 = -q*l + 3*d + w for l.
-3
Let n(d) = d. Let b be n(2). Solve -3*s + 4*q = -9 - b, -2*s + 4 = -2*q for s.
-3
Let l(g) = -g**2 - 8*g + 24. Let b be l(-10). Solve 3*x - 20 = 5*w - 2*x, x - 4 = b*w for w.
0
Let b(u) = -8*u**3 + u**2 + u - 1. Let t be b(-2). Let y = 97 - t. Solve -3*r = -z + 15, -5*r + 7 - y = 2*z for z.
0
Let d = 9 - 7. Let f = -6 - -10. Suppose g - 1 = q - 3, -d*g = f*q - 14. Solve -6 = -q*l + 3*p, -l + 6 = -5*p + 4 for l.
2
Let j be (-2 - 21/(-3)) + -2. Suppose -8 = -j*c + 2*c. Solve c*x - 3*x = -2*w + 20, 6 = -2*x + 2*w for x.
2
Suppose -5*c - 2 - 23 = 0, 3*l - c + 85 = 0. Let o be (-26)/(-10) + (-12)/l. Solve 4*y - s - 12 = -3*s, s = y + o for y.
1
Let r(o) = -o + 5. Let m be r(5). Solve t + 3*c + c - 7 = m, 6 = 3*c for t.
-1
Let j = 15 - 12. Suppose 8*h + 5 = j*h, -3*h = 3*s - 12. Solve 0*w - 5*w = -3*m - 7, s = m + 2*w for m.
1
Let q(x) = -2*x. Let v be q(-2). Suppose -v*w + 16 = -0*w. Suppose r = -w*r + 25. Solve 5*c = 4*y - 36, -2*c = -2*y - r*c - 4 for y.
4
Suppose -4*h + c = 124, -c + 12 = 2*c. Let k be h/((4/(-3))/2). Let i be 1/(3*3/k). Solve -23 = 3*t + 4*n, -2*n + 20 = i*t - 7*n for t.
-1
Let d be (1/2)/((-1)/(-4)). Solve -2*p - d*k - 2 = 0, 2*p + 0 = -k - 4 for p.
-3
Let q be 76/18 - 10/45. Solve -m = -q*h - 23, -3*h + 5*m - 30 = -0*h for h.
-5
Let q = -5 - -8. Solve j + 5*w + 37 = -q*j, 2*w = -10 for j.
-3
Suppose -2*a = -7 - 5. Let d(x) = x - 7. Let u be d(a). Let q = u + 5. Solve 3*h = 0, q*f - 4 = -2*h - 3*h for f.
1
Let h(w) = 2*w**3 - 4*w**2 + 4. Let x be h(2). Suppose 2*u = -u + 9. Suppose -u*f - x + 67 = 0. Solve f - 3 = -4*a + 2*l, -5*l = -4*a - 21 for a.
-4
Let y(x) = x**2 - x + 5. Let w be y(0). Suppose 2*t + t + w*m = 52, -3*m = -6. Solve 3*h = -4*d + 24, -3*h + 13 = 5*d - t for h.
4
Let c(i) = i**3 + 2. Let x be c(0). Suppose 0 = -3*a - x*r + 4*r + 23, r = a - 6. Let k = a + -5. Solve -p - p = -4*b + k, 2*b - 33 = -5*p for p.
5
Let z be 2/(-4) - (-39)/2. Let p = 14 + -14. Suppose -5*v - 2*h + 18 = 0, h + 3*h - 16 = p. Solve 7 = -3*x + 2*u, 2*x + 3*u - z = -v*x for x.
1
Let x = 10 + -7. Solve 15 = -3*n, 4*p - x*n + 5*n + 22 = 0 for p.
-3
Let o(p) = -p + 8. Let i be o(4). Solve -z = i*m - 15, 3*m + 2 = -5*z - 8 for z.
-5
Let z(h) = -h**2 + 9*h - 3. Let x be z(8). Let d = -18 - -12. Let t(f) = -f**2 - 6*f + 7. Let k be t(d). Solve 5*q - 4*j - k = x, -4*j - 4 = -3*q for q.
4
Let d(i) = -3*i**2 + i - 7. Let v be d(3). Let o = v - -43. Solve 12 = -4*h, 4*h + 40 = -4*j + o for j.
-4
Suppose -6 = -5*u + 9. Solve u*j - 7 = 5*t, -5 = -j - t - 0*t for j.
4
Let g be (-25)/(-9) - (-2)/9. Let d be g*3/(-9)*-3. Solve -5*h + 5 = -0*m - 3*m, -d*m + 4*h = 4 for m.
0
Suppose 0 = -4*w - 2*l + 40, l = w + w - 12. Solve 3*d = -4*s + 3 + w, -4*s = 4*d - 16 for d.
5
Suppose -3*u + 2*c + 10 = 0, -u + 0*u + 6 = 2*c. Solve 3*r = h - 2*h, u*r + 2*h = -2 for r.
1
Let w = 220 - 215. Solve -3*k + 8*k + 3*l = -5, 0 = 2*k - w*l + 33 for k.
-4
Suppose 4*o = 4 + 4. Solve 3*l + 16 = -l, o*l + 5 = 3*n for n.
-1
Let p(g) be the second derivative of -g**3/6 + 15*g**2/2 - 2*g. Let u be p(11). Solve -u*o + y + 7 = 0, -y - y = -4*o + 2 for o.
3
Let d(v) = 6*v**2 + 4*v. Let q be d(-3). Suppose 6*z - 3*z - q = 0. Let w = z - 9. Solve r + 3*p = -3 - 2, 9 = -w*r + p for r.
-2
Let p = 17 - 11. Suppose 0 = g - p*g + 15. Solve -3*t - 3 = 3*c, g*c = -t + 4*c + 3 for t.
1
Suppose 4*q + 156 = 4*u, q = -q - u - 69. Let x be 2/3 + (-300)/q. Let a be 3 - 0/(3*-1). Solve -o - 2*o - x = -a*g, -5*g - 5*o = 35 for g.
-2
Let b(z) = -z**3 - 3*z**2 + 5*z + 6. Let v be b(-4). Let s = -2 - -5. Solve -h - i = 6, s*i = 3*h + i - v for h.
-2
Suppose -2 = -3*t + 13. Solve -2*d - 24 = -t*r, -2*r + 4*d + 24 = 2*r for r.
4
Let p = -14 + 20. Let x be p/(-33) - (-46)/11. Solve -b - 5*h = -11 + 4, 5 = b + x*h for b.
-3
Suppose -10*p = -4*p. Solve p = z + 2*b, -4*z - b + 9 = -5 for z.
4
Let q(t) = t**3 - t - 1. Let p be q(2). Let u be -2 - (0 + 2 + -6). Let w = p - u. Solve -3 = -4*z + 3*v, w*v + 8 = -z + 2*v for z.
-3
Let m be 15*(2 - 1) + -3. Suppose 3*u + m = 0, -y = u - 7 - 3. Let q = y + -9. Solve 28 = -3*o - 3*j + 10, q*j + 18 = -2*o for o.
-4
Let j(k) = k. Let a(w) = w**2 - 3*w. Let n = 5 - 2. Let s be a(n). Let i be j(s). Solve -3*m - 4*h + 8 = i, -2*m + 3*h = -3*m + 1 for m.
4
Let d = -22 + 14. Let l = d + 12. Solve -5 + 25 = -l*q, 3*q = -4*n - 35 for n.
-5
Let h be 0 - ((-4)/(-2) + -12). Let y = -17 + 19. Solve -2*w - 2*c = y*w - h, -5*w + 2*c + 35 = 0 for w.
5
Suppose -3*v = 60 - 249. Suppose v = -5*a - 7. Let t(g) = -g**3 - 15*g**2 - 16*g - 12. Let q be t(a). Solve -2*s + 0*s - q = -3*j, -j = -3*s - 10 for s.
-2
Let f be -1 - -2 - 3/(-3). Suppose 0 = -3*q + 9 + 9. Solve -f*p = 4, -p + 7 = -3*m - q for m.
-5
Suppose -f = -28 + 12. Solve x + f = 5*w, 3*w = -x + 4*x for w.
4
Suppose | {
"pile_set_name": "DM Mathematics"
} |
2/9
What is (-672)/42*(-4)/4?
16
Evaluate (650/(-26))/75*2/6.
-1/9
What is the value of ((36/16)/(-3))/(90/24)?
-1/5
What is (15159/10106)/(17/(-2)*(-2)/4)?
6/17
Evaluate (99/(-660))/((-18)/48)*(-195)/24.
-13/4
(-8220)/(-1370)*(-2)/(-6)
2
Calculate (1/(9/(-3)))/(-6*12/(-216)).
-1
Evaluate 84*(-13)/(-156)*12/(-14).
-6
What is the value of (1*(-4)/(-252)*-3)/((-8)/24)?
1/7
Calculate ((-32)/144*2/4)/((-27)/81).
1/3
What is the value of 32/720*9*1/(9/(-5))?
-2/9
8/20*6*(-410)/82
-12
What is ((-1164)/(-1552))/(2/232*3)?
29
(20/6)/(2/9)*(-295)/177
-25
What is the value of ((0/(-11))/13)/12?
0
What is the value of ((-1)/((-3)/22))/((-6298)/9447)?
-11
What is 8/(64/102)*136/102?
17
Evaluate (-1794)/230*-3*(-1)/(-9).
13/5
Calculate (-90)/(1290/43)*(3/3)/28.
-3/28
Calculate (-3)/(3/4)*((-2646)/27)/8820.
2/45
What is 14/(-1680)*-10*(-8)/(-5)?
2/15
(-3)/25*(-20)/2
6/5
Calculate (-8)/(16/2)*(-52)/((-12)/(-3)).
13
Evaluate ((-41)/492)/((-5)/60).
1
What is (6/24)/((-2392)/736)?
-1/13
Evaluate (-112)/752*(-1)/(-2)*120/(-210).
2/47
((-9)/(945/12))/((-12)/(-30))
-2/7
What is the value of (2/387)/(-5*(-1)/45)?
2/43
Calculate 8*63/840*25/1.
15
Evaluate (-9)/15*220/66*2.
-4
What is the value of 8/(4/2)*442/3094?
4/7
(-9)/((-1197)/21*-1)
-3/19
What is 132/48*(-58)/7337?
-1/46
Calculate ((-83)/249)/((-3)/(-225)).
-25
What is 20/(-4)*(26/20)/((-81)/162)?
13
(((-3)/5)/(-3))/((-7)/35)*-12
12
Evaluate 3*26/(-3)*(-61)/(-122).
-13
What is (39/3)/(-39)*(-165)/(-11)?
-5
What is the value of ((-2)/8)/((-100)/40*28/(-40))?
-1/7
What is the value of 2226/(-1908)*6/(-1)?
7
Calculate ((-64)/(-32))/(-16)*(-48)/2.
3
Calculate 369/1230*50/9.
5/3
(48/315)/(732/7686)
8/5
(-99)/((-189)/21)*1*-1
-11
(5/55)/((-252)/(-154))*-3
-1/6
What is (32*(-26)/(-624))/((-12)/243)?
-27
(-4998)/(-126)*27/153
7
What is the value of (-2)/(68/18)*758/3411?
-2/17
Calculate ((-3)/6)/(12/24)*(-12)/(-4).
-3
Evaluate 4/6*(-276)/1012.
-2/11
Calculate (24/714)/(104/(-364)).
-2/17
What is the value of (-49)/4*30/5460*-13?
7/8
What is the value of ((-126)/(-8))/(43/(3956/69))?
21
Calculate (6/(-28))/((-3465)/2695)*4/(-26).
-1/39
1/(-4)*(24/(-26))/((-7)/91)
-3
(1/(15/(-6)))/(24/(-150))*-1
-5/2
Evaluate 2*110/(-3960)*18/8.
-1/8
What is the value of 1/((5/10)/(4/((-16)/28)))?
-14
Calculate (15/30)/(3/(-432)*4).
-18
Calculate (3/21)/(((-462)/(-49))/11).
1/6
Calculate (34/(476/(-21)))/(2*(-52)/(-16)).
-3/13
What is the value of ((-42)/22)/3*34/119?
-2/11
What is the value of ((-802)/3609)/(2/3*(-1)/(-2))?
-2/3
What is (10/(-25))/((-7)/(-175))?
-10
Calculate 7/35*50/(-12)*(-26)/(-455).
-1/21
What is the value of ((1633/(-92))/71)/((-2)/24)?
3
(-3)/((-72)/(96/8))
1/2
Calculate (-2)/(-2)*520/360*-9.
-13
What is the value of ((-198)/(-297))/(30/9)?
1/5
((-8)/(-1624)*-7)/((-1)/(-1))
-1/29
Evaluate (((-15)/(-2))/5)/(((-2109)/532)/(-37)).
14
((-468)/351)/((-8)/(-78))
-13
What is ((-5)/15)/(286/(-132))?
2/13
What is the value of ((-143)/(-286))/(5/160)?
16
((-9)/15)/((-6)/15)*-8
-12
Calculate 15/(((-408)/(-8))/17)*-5*1.
-25
Calculate (149/(-2086))/(112/42*2/56).
-3/4
What is ((-276)/828)/(2/66)?
-11
Calculate (120/672*(-120)/(-25))/(4/112).
24
What is the value of ((-398)/2587)/(178/(-26))?
2/89
What is (-66)/(-44)*28/273?
2/13
3/(-6*(-3)/(-12))*34/(-4)
17
What is 29/58*14*(8/(-4))/(-2)?
7
Calculate ((-73)/73)/(((-22)/12)/(-1)).
-6/11
Calculate (-21*(-42)/735)/(-3).
-2/5
Calculate (72/1488*31)/((-3)/(-28))*-2.
-28
Evaluate (-12)/(-10)*910/(-6006).
-2/11
What is the value of (6/99*14/14)/((-5)/15)?
-2/11
Calculate ((-2680)/(-3216))/((-10)/(-6)).
1/2
What is ((-170)/(-136))/(775/40)?
2/31
((-48)/(-264))/(3*4/36)
6/11
((-31)/2790*-6)/(1/10)
2/3
Calculate (-312)/24*(-325)/169*8/10.
20
What is the value of 72/378*-7*3?
-4
Evaluate ((-4)/(-14))/((-88)/1001).
-13/4
Calculate ((-910)/728*(-8)/30)/(44/18).
3/22
Calculate -7*3/6*((-9152)/364)/(-44).
-2
Calculate 41*60/9840*2*7/(-3).
-7/6
Calculate 39/((-468)/12)*4/50.
-2/25
Calculate ((-8)/(-10))/(48/1040*-26).
-2/3
Evaluate (2/(-7))/(129/2408)*(-33)/(-110).
-8/5
What is the value of -5*4/(32/(-8))?
5
Evaluate 8/(-10)*(-10125)/(-450).
-18
Evaluate 2035/(-1628)*(-88)/(-20).
-11/2
What is the value of -5*((-9)/156)/((-55)/22)?
-3/26
((-22)/(-33))/(10/36)*(-10)/3
-8
What is 48/8*-9*(-6)/4212?
1/13
Evaluate (-1)/4*(-3904)/15128.
2/31
Calculate (12/6)/((-6)/(-36)*12/(-2)).
-2
What is (96/(-3328)*-26)/(2/8)?
3
(5/(350/(-63)))/((4/2)/(-4))
9/5
Evaluate ((-1)/(-10))/((-144)/3510)*136/102.
-13/4
What is the value of (-4)/(-16)*(2/(-8))/((-17)/48)?
3/17
What is (35/(-1575)*9)/(1/(-70))?
14
(176/308)/((-110)/77)
-2/5
Evaluate (-31)/((-217)/7)*(-1)/(-1)*1.
1
Evaluate ((-1)/2)/((-1210)/4235).
7/4
21*2/18*-2
-14/3
Calculate 1/((108/36)/((-30)/4)).
-5/2
(6/4)/(3*(-14)/32)
-8/7
What is (((-4)/8)/(-1))/((-1)/(-13)*-2)?
-13/4
Calculate 63/3*180/420.
9
(3/9)/(1/108*-6)
-6
What is (((-12)/(-2))/2)/(42/1610*5)?
23
Evaluate (59/(2596/(-352)))/(2/3).
-12
Calculate 64/4*90/(-180).
-8
What is (1245/166)/(6/24*-10)?
-3
What is 3/8*1960/(-245)?
-3
What is (23620/(-9448))/(3/((-216)/10))?
18
Calculate (-5)/((((-585)/104)/(-3))/((-18)/8)).
6
What is (-12)/((-72)/3)*12?
6
((-18)/(-9))/(10/(-220)*2)
-22
What is (-3)/(-6*2/(-72)*-2)?
9
10/((12/(-6))/2)
-10
15/(-5)*(42/(-7))/(-42)
-3/7
(-12)/((-17)/(510/120))
3
Evaluate 6*((-1)/(-7)*-5)/((-2418)/(-2821)).
-5
(-2)/10*261/29*2/18
-1/5
Calculate ((-14)/(-4))/(210/8880*37).
4
Evaluate ((-36)/30*-1)/(16/(-320)).
-24
Calculate 37/37*4/10*10/4.
1
What is ((-285)/(-5))/(((-189)/18)/(-7))?
38
What is 11/88*-28*20/2905?
-2/83
Calculate 300/(-125)*(-60)/(-54).
-8/3
What is (18/(-3))/(((-5)/5*6)/8)?
8
What is ((-10)/70)/((-2)/7)*0/2?
0
What is the value of (48/15)/((-1368)/(-171)*1/20)?
8
Calculate ((-6)/9)/(72/432).
-4
What is the value of ((18/(-4))/(33/(-44)))/(465/1085)?
14
What is ((-24)/20)/(7/(-105)*-1)?
-18
What is (-21)/33*(180/(-45))/(28/(-6))?
-6/11
Calculate (51/((-1785)/14))/(8/4).
-1/5
Calculate ((-3696)/660)/(-3*(-7)/(-90)).
24
What is the value of (-28)/(-2)*(((-65)/(-13))/5)/(-2)?
-7
Calculate (1/5)/(8/150*15).
1/4
Evaluate 11*((-33)/(-132))/(-3*1/(-12)).
11
(-6)/(12*(-5)/(-210)*7)
-3
Evaluate (62/(-8))/(((-1)/3)/(596/(-447))).
-31
Calculate (36/(-16)*15/(-135))/(-1).
-1/4
What is (-211)/(-633)*((-3)/(-8))/(26/(-8))?
-1/26
(180/400)/((-114)/152)
-3/5
What is ((6/(-20))/(81/(-45)))/(30/(-675))?
-15/4
Evaluate (8/8*-12)/(-6).
2
What is ((-140)/60)/(7/4)*(-14)/4?
14/3
(28/105*(-2)/4)/(1680/(-600))
1/21
Calculate 0/20*(-2)/4.
0
Evaluate -1*((-416)/24)/(-13).
-4/3
What is (28/18)/(49/((-1323)/(-6)))?
7
Evaluate ((1786/2470)/(-47))/(((-18)/(-20))/(-3)).
2/39
Calculate 498/(-166)*(-8)/6*-1.
-4
What is (((-7826)/(-84))/(-43))/((-3)/6)?
13/3
Calculate (-9)/(((-10)/(-3))/(-8*(-12)/(-432))).
3/5
Evaluate (-10)/280*8*(-5)/50*14.
2/5
(-58)/(-580)*(-10)/8
-1/8
0*26*4/208
0
What is 8/7*(-49)/(-196)?
2/7
Calculate (3/35)/((-311)/(-1555)).
3/7
What is (-8)/(-36)*522/29?
4
Calculate -6*((-10)/125*-1)/((-72)/90).
3/5
What is ((320/12)/8)/((-209)/627)?
-10
Evaluate 120/4860*(-36)/4.
-2/9
What is ((-2)/14)/(510/(-119))*-4?
-2/15
Calculate (-1)/((2*3)/((-400)/2900)).
2/87
Evaluate (48/(-240))/((-1)/(-15)).
-3
Calculate 184/3312*3/(-5).
-1/30
What is the value of (3/(-3)*3)/((-276)/23)?
1/4
Evaluate (7/(77/(-176)))/((-6)/(-3)).
-8
Evaluate ((-4)/22)/(1555/(-10263)).
6/5
Calculate 600/(-180)*(-5)/(40/(-12)).
-5
(-16)/20*(54/(-162))/(2/(-105))
-14
(-142)/(-71)*1/4
1/2
Evaluate (2/((-16)/(-4)))/(((-1275)/(-12))/(-17)).
-2/25
Evaluate (17/(-170))/(35/(-50)).
1/7
What is the value of 139/(58380/252)*32/(-3)*1?
-32/5
(30/40)/((-2)/(5/(-15)*-56))
-7
What is the value of (6/(-4)*5)/(9/(-6))?
5
What is the value of -1*2/(-10)*60/(-450)?
-2/75
What is ((-2842)/1218)/(14/(-72))?
12
What is (6*(-9)/216)/((-5)/300*-35)?
-3/7
840/(-13230)*14*3/(-12)
2/9
Evaluate (-25)/(-10)*(-28)/(-210)*-6.
-2
Calculate (-3)/5*17630/1763.
-6
Calculate (-208)/4*296/1924.
-8
Calculate (-1388)/16309*2/(-8).
1/47
(3042/52)/117*((-16)/26)/1
-4/13
Calculate (-5)/150*372/(-31).
2/5
Evaluate ((-10)/(-20)*(-2)/3)/(64/192).
-1
What is the value of ((-8)/2)/(-1)*(-5)/10?
-2
What is 10*-1*(-3)/((-14)/((-224)/660))?
8/11
What is the value of 41/(-9594)*-26*9/2?
1/2
What is the value of ((2/1)/(-4))/(1536/1152)*-1?
3/8
What | {
"pile_set_name": "DM Mathematics"
} |
alculate the least common multiple of h and g.
44
Let x(i) = -i**2 - 4*i + 34. Let j be x(4). Suppose -133 = -v - 5*f, j*f + 2*f = -3*v + 454. What is the smallest common multiple of v and 8?
632
What is the common denominator of 11/10 and (6/40)/((-9)/(-5688)*60)?
50
What is the common denominator of (-20)/6*(-216)/168 and 47/6?
42
Let v = 384 - 380. What is the lowest common multiple of 7 - (-1 + 0)*1 and v?
8
What is the least common multiple of 20/(-35) - 159*6/(-126) and 4?
28
Let j be (0 - -71)*(-39)/(-174). Let f = j + -16. Let r = f + 451/522. What is the common denominator of -61/6 and r?
18
Let c be 4/(-5) + 28/35. Suppose 8*u + c*u - 32 = 0. Suppose u*y = 5*n + 30 - 111, 13 = n - 4*y. What is the common denominator of 41/38 and n?
38
Let o = -15/569084461 + -75535149474131/4509425268964. Let c = o - -1/1981. Find the common denominator of c and -61/10.
20
Let q = 318/983 - 130845/322424. Find the common denominator of -119/18 and q.
2952
Suppose 3*s + 2*s + 4*k = 106, 2*k = 4*s - 64. Suppose -n + 5*w = 17, n - 4*w = -3*w + 3. Calculate the least common multiple of n and ((-3)/(9/(-2)))/(s/162).
24
Let t be -3 - ((-1558)/4)/((-7)/14). Let v = 14057/18 + t. What is the common denominator of v and ((-1)/10)/((-4)/82)?
180
Suppose -8*m + 912 = 11*m. Calculate the least common multiple of m and 18.
144
What is the common denominator of -6*1 - (-2445)/150 and -85/1522?
7610
What is the common denominator of 2*74/16 + 9/(-27) and 58/15?
60
Let y = 11328/137489 - 22/431. Let t = y + 30763/5742. Find the common denominator of t and (-123)/(-234) + 4/6.
234
Let r = 0 + 1. Let w be (0 + 1)*(-3 + 3). Suppose -2*k + 15 - 13 = w. What is the lowest common multiple of k and r?
1
Let w = -18561718333/36 + 515666479. Let v = w - 63196. What is the common denominator of 40/3 and v?
36
Suppose q + 1100 - 16744 = 0. Suppose 3*i - 3*z = -46932, -i + 4*z - q = -0*i. Let j = 250389/16 + i. Calculate the common denominator of 43/12 and j.
48
Suppose 0*d = 9*d - 108. What is the smallest common multiple of d and 1?
12
Let a = 9077/15 - 1843/3. Calculate the common denominator of 43/50 and a.
50
Suppose 0 = -5*y + 5*n - 10, 5*y + 20 = -0*y + 3*n. Let q(v) = v**3 + 5*v**2 - 16*v - 10. Calculate the lowest common multiple of 16 and q(y).
16
Let i(n) = 2*n**2 + 5*n - 10. Let t be i(-5). Find the common denominator of -47/102 and (-78)/4 - t/(-20).
204
Suppose 2*o - 28 = 4*u, 0*u - 4*u - 12 = -o. Calculate the least common multiple of 27 and (-2)/4 - (-392)/o.
216
What is the common denominator of ((-225)/(-22))/3 - -1 and 32 + -30 + 303/(-42)?
154
Let c = -3/3547 - -198713/95769. Find the common denominator of c and 53/9.
27
Suppose 113 = 3*o + 41. Let r(u) = -u**3 - 14*u**2 - 60*u - 63. What is the smallest common multiple of o and r(-7)?
168
Let v(u) = 32*u**2 + 26*u + 48. What is the smallest common multiple of 22 and v(-6)?
11484
Let i be 6/(-15) - (-26)/(-10). Let q be i/(6/(-23))*-146. Let o = -6675/4 - q. Calculate the common denominator of -44/5 and o.
20
Let k = 17 + -62. Let s = k + 67. Calculate the lowest common multiple of 22 and s.
22
Let t be 2 + (-24)/10 + (-156)/(-15). Suppose -t*k + 73 = 23. Calculate the lowest common multiple of 5 and k.
5
Find the common denominator of -3 + 13 - 37703/4218 and 125/96.
1824
Let t(g) = -9*g**2 + 11*g - 2. Let w be t(-6). Let x = w + 3129/8. What is the common denominator of 89/16 and x?
16
Let m = 123/8 + -47/8. Let y be 54028*4/44 - -1. Let u = -4909 + y. What is the common denominator of u and m?
22
Suppose 54*h - 47*h = 532. What is the lowest common multiple of 36 and h?
684
Calculate the common denominator of (-76)/231 + 124/434 and -61/210.
2310
Let f(u) = -4*u - 26. What is the smallest common multiple of 18 and f(-9)?
90
Let a = 252415/4 + -62304. Let k = a - 35243/44. Calculate the common denominator of 42/5 and k.
110
Let k = -1162 - -1262. Calculate the lowest common multiple of k and 12.
300
Let t(f) = f - 1. Let m be -12 + (-6)/8*-4. Let b be t(m). What is the common denominator of (-81)/b - (-1 + 4) and 13/2?
10
Let c be (34/18)/((-4)/(-120)*1). Let g = -55 + c. Find the common denominator of (-1)/(-1) - (1 + 18) and g.
3
What is the least common multiple of ((-52)/(-5))/((-5)/(-25)) - -2 and 12?
108
Let i(u) = -u**3 - 4 + 2*u**2 - 5*u**2 + 2 - 2*u. Let y be i(-2). Calculate the common denominator of 735/20*y/(-15) and -75/2.
10
Suppose 5*y = 3*y - 456. Let w = 420 + y. What is the common denominator of 38/7 and (-4)/(-14) + w/(-133)?
133
Suppose -33*u + 56 = -29*u. What is the least common multiple of (-44 + 2)*(-1)/3 and u?
14
Let b = -7258 - -13503. Let u = 149903/24 - b. Find the common denominator of u and 70/27.
216
Suppose -1221 = 6*s + 14919. Let d = -21563/8 - s. Find the common denominator of d and -89/14.
56
Calculate the smallest common multiple of (-96)/(-9)*(-4 - 70/(-7)) and 10.
320
Let n = 185/11 + -157/44. Suppose -2 = -4*u - 98. Find the common denominator of (-9)/12 + (-170)/u and n.
12
Let z = 16228 - 892602/55. Let d = 2/21081 + -541099/210810. Find the common denominator of z and d.
330
Let b be ((-20)/1)/((-3)/(-6) + -1). Suppose 7*j - b = 100. Suppose 0 = -2*x + 23 + 37. Calculate the smallest common multiple of j and x.
60
What is the common denominator of 2 + 127/6 - 0 and (2 - 19/8)/((-3)/(-61))?
24
Suppose r = -3*r + 32. Let d be 15/(-5) + (0 - -10). Suppose q - d*q = -60. Calculate the least common multiple of r and q.
40
Let l = -25 - -11. Let m = -20 - l. Find the common denominator of -85/14 and 9/10 + m + 10.
70
Let q be ((-2)/(-62))/(2*(-1)/60). Let y = 2881/62 + q. Calculate the common denominator of y and 5/8.
8
Suppose k - 63 = -11. Let u = k - 34. What is the lowest common multiple of u and 39?
234
Let l be (-3370)/2252 - (-3)/2. Let t = l + 10691/1689. Calculate the common denominator of -67/27 and t.
27
Let d = -7040 - -7057. Let p = 5 + 0. Calculate the smallest common multiple of p and d.
85
Suppose -p = -3, 3*a + 0*a = -p + 900. Let k = -638 + a. Find the common denominator of 65/72 and k/(-80) - (-8)/(-10).
144
Suppose 0 = 4*b + 209 - 65. What is the common denominator of (-4 - (-93 - 0))/b and (0 - 1)/((-6)/(-26))?
36
Suppose -145*l + 4*m + 12 = -143*l, 2*l - 15 = 3*m. Calculate the lowest common multiple of l and 23.
276
What is the smallest common multiple of 1*(1/3)/(9/1053) and 33?
429
Let p = 3967/246 + -53/41. Let u = 111581/12 + -30167/3. Let h = u + 763. Calculate the common denominator of h and p.
12
Let k = -442 - -157. What is the common denominator of ((-249)/(-4))/(k/(-10)) and 23/4?
76
Let b(s) = s**3 + 16*s**2 + 10*s - 11. Let l be b(-15). Calculate the common denominator of (-36)/l*(-186)/(-9) and 79/4.
8
Let h = 301 - 249. Calculate the least common multiple of h and 65.
260
Let k = -8/6523 + 339556/293535. Calculate the common denominator of 36/(-12) - (107/(-15) - -1) and k.
45
Suppose -9 = 5*p - 3*t, -4*p + 5*p = 5*t + 7. Suppose 185 - 773 = -42*b. Calculate the smallest common multiple of b and (-4)/((p/12)/1).
112
Let h = 539 + -500. Calculate the least common multiple of 48 and h.
624
Suppose j = -l - 10, j - 4*l + 3 = -2. Let v be (-498)/(-8074)*39/j. Let a = 2/367 - v. What is the common denominator of 41/7 and a?
77
Calculate the smallest common multiple of (-2 + 0)*(-14 + -8) and 36.
396
Let t(c) be the third derivative of c**4/24 + 11*c**3/6 - 4*c**2. Let x be t(-6). Suppose -2*f + x*f - 12 = 0. Calculate the lowest common multiple of f and 2.
4
Let k = 366 - 360. Let x = -5 + 27. What is the smallest common multiple of x and k?
66
Let b = 19377 + -930211/48. Calculate the common denominator of b and 83/136.
816
Let u = 43357/4 + -10978. Let x = 389/4 + u. What is the common denominator of 6/(-44)*(-18 - -42) and x?
22
Suppose 19 + 25 = 3*l + 2*d, 0 = -5*l + 2*d + 52. Suppose -4*g = -5*r - 28, -6*g + 4*g + 2*r = -16. What is the smallest common multiple of l and g?
12
Suppose -2*u + 5*v = -3063, -u - 999 + 2538 = -5*v. Let s = u + -4619/3. Find the common denominator of s and 44/29.
87
What is the common denominator of (-366)/(-4)*6/90 and 47/64?
320
Let g(h) = h**2 - 15*h - 12. Let z be g(16). Suppose -z*r = 5*w - 2*w - 10, 4*w = -4*r + 16. What is the smallest common multiple of w and 3?
6
Suppose -358 = -2*q + 28*y | {
"pile_set_name": "DM Mathematics"
} |
y?
6
Let q(y) = y**2 - 10. Let a be q(0). Let k = a + 14. What is the units digit of k?
4
Let m(l) = -l**3 + 7*l**2 + l + 6. What is the tens digit of m(6)?
4
Let a(n) = 3*n**2 - 10*n + 15. What is the tens digit of a(6)?
6
What is the tens digit of (-186)/(-4) + 8/(-16)?
4
Let g be (-1*2)/2 + -7. Let d = g + 4. Let t = d + 8. What is the units digit of t?
4
Let t(i) = -i**3 - 3*i**2 - 2*i - 4. Suppose -n - 2*n + 9 = 0. Suppose -3*h = 2*x + 13, 2 = -n*x - 4. What is the units digit of t(h)?
2
What is the units digit of (-6)/(-5 - 464/(-94))?
4
Suppose 0*d = 4*d. Suppose d = -5*n + 39 + 66. What is the tens digit of n?
2
Let h(z) = -z + 2. Let r be h(-10). Let f be 32/r - 4/6. Suppose -f*i + 10 = -8. What is the units digit of i?
9
Let d = -19 + 59. What is the units digit of d?
0
Let p(x) = 16*x**3 - 1. Let f be p(-1). What is the tens digit of (-7 - -4)/3*f?
1
Suppose -1284 - 540 = -8*j. What is the tens digit of j?
2
Let w be 3 + (24 + 1 - -1). Suppose -109 - w = -3*n. What is the units digit of n?
6
Suppose 0*g - 5*g = 45. What is the units digit of (-22)/(-18) + 2/g?
1
Let s = -1 - -2. Let o be (s - 1)*(-2)/4. Suppose 10 = -5*l, -a + 3*l + o*l + 15 = 0. What is the units digit of a?
9
Let y(m) = m**2 + 24. Let h be y(0). What is the units digit of 320/h + (-1)/3?
3
What is the tens digit of 3/((-3)/(-4)) + 80?
8
Suppose 0 = -5*u + 3*v + 161, -3 = -3*v - 9. What is the units digit of u?
1
Suppose 0 = 3*n + k - 4, 0*k + 7 = -n - 2*k. Let p = n + 4. What is the units digit of p?
7
Suppose 3*q = -2*p + 503, -5*p - 111 = -2*q - 1416. What is the hundreds digit of p?
2
Suppose 2*b + 3*f = 27, -13 = -4*f - 1. Suppose -7 - b = -h + 2*d, 15 = 3*d. What is the units digit of h?
6
Let v = -3 + 4. Suppose f - 1 = v. Suppose f*k = -0*i - 5*i + 12, 3*i = -4*k - 4. What is the units digit of i?
4
Suppose -150 = -4*r - r. Let p be r/7 - 4/14. Suppose 0 = -p*u + 16 + 12. What is the units digit of u?
7
Let n(m) = 48*m - 24. What is the hundreds digit of n(7)?
3
Suppose -6*j = z - 2*j - 22, -5*z - 2*j + 74 = 0. What is the tens digit of z?
1
Let z = -11 - -23. Suppose 2*r + 4 - z = 0. Suppose 0 = -r*c + 29 + 31. What is the tens digit of c?
1
Let y(m) = -m**2 + 13*m + 1. What is the tens digit of y(10)?
3
Suppose -4*i = -5 - 107. What is the tens digit of i?
2
Suppose 5*v - 136 = -4*h, -3*h - 3*v = -116 + 17. Suppose -3*c + h = 2. What is the tens digit of ((-33)/c)/((-3)/9)?
1
Let q = -15 - -3. Suppose -4*x + 6 = 2. What is the units digit of (-4)/(q/15)*x?
5
Let j(f) be the first derivative of f**6/120 - f**5/20 + f**4/6 - f**3/3 + f**2 - 1. Let q(i) be the second derivative of j(i). What is the tens digit of q(3)?
1
Let d(i) = i**2 - 5*i + 1. What is the units digit of d(6)?
7
Let o(z) = -2*z - 7. Let r be o(-5). Let d be 0*-2*r/6. Suppose g - 3*g + 4 = d, -k + 32 = 5*g. What is the tens digit of k?
2
Suppose 59 + 495 = 2*z. What is the tens digit of z?
7
Let o be (2 - 1)*3 + 77. Suppose -6*p + o = -2*p. What is the units digit of p?
0
Suppose -22 = -l - 18. What is the units digit of ((-6)/(-9))/(l/12)?
2
What is the tens digit of (1 - -78)*1 - 1?
7
Suppose -3*t + 5*d = -24, 3*t + t + 3 = -5*d. Suppose -t*f - 2*f - 53 = -4*p, -3*p + 2*f = -31. Let b(a) = -a**2 + 8*a - 2. What is the units digit of b(p)?
5
Let n(s) = 6*s**2 + 5*s + 5. What is the tens digit of n(-4)?
8
Let x = 10 - 14. Let p = 25 + x. What is the tens digit of p?
2
Suppose 457 = 3*y - 557. What is the units digit of y?
8
Let m(g) = -g. Let h(a) = -a + 1. Let w(f) = -f**3 + 5*f**2 - 2*f - 4. Let x be w(4). Let t(i) = x*h(i) - 3*m(i). What is the units digit of t(0)?
4
Suppose 0 = -12*g + 2565 + 603. What is the hundreds digit of g?
2
Suppose -4*j = -2*x + j + 12, -8 = -2*j. Suppose -17 + 7 = -2*b. Suppose -w = -b*o + 28, 3*o + 3*w - 4*w = x. What is the units digit of o?
6
Let g(x) = -1. Let o(d) = 2*d - 10. Let f(h) = -3*g(h) - o(h). Let q be f(-10). Suppose -4*b = -15 - q. What is the units digit of b?
2
Let p = 5 + -1. Suppose 3*f - 11 = -4*m, -p*m + 5*f + 3 = -0*f. Suppose 0 = 5*o - m*s - 87, -2*o + s = 4*s - 31. What is the units digit of o?
7
Let k(f) = f**3 + 3*f**2 - 2*f + 3. Let t be k(-4). Let z = t - -6. What is the units digit of z?
1
Let w(r) = -3*r + 27. Let p(h) = 13*h - 109. Let f(b) = 2*p(b) + 9*w(b). What is the tens digit of f(0)?
2
Suppose 3*b - b - 426 = -2*q, -q - 3 = 0. What is the hundreds digit of b?
2
Suppose -4*h + 4 = 0, -3*h - h = 4*q - 1204. What is the units digit of q?
0
Let u be 1*-4*(3 - 1). What is the tens digit of -3*(u + 3)*1?
1
Let m be 1*(6/2 - 2). Suppose -2 = -b + m. What is the units digit of b?
3
Let t(o) be the second derivative of o**4/12 - 5*o**3/6 + 3*o**2/2 + o. Let s be t(5). Suppose 3*u = 2*u + 2*l, s*l - 13 = -5*u. What is the units digit of u?
2
Let v(w) = 16*w**2 + 7*w + 4. What is the tens digit of v(-3)?
2
Let j = -6 - -8. Suppose 3*z - j*z - 4 = -3*o, 16 = 4*z. Suppose -3*n = 4*f - o*n - 35, 3*f + 5*n - 18 = 0. What is the units digit of f?
1
Let x be 4/(8/(-6)) - -8. Suppose 5*k + 0*l - 13 = -2*l, l = x*k - 16. What is the units digit of k?
3
Let j = 8 + -4. Suppose -5*m + 4*r = -34 + j, -4*r = -20. What is the tens digit of m?
1
Let b = -18 - -35. Let i = 12 + b. What is the tens digit of i?
2
Suppose 16*x - 6*x - 930 = 0. What is the units digit of x?
3
Let k(d) = -d + 1. Let p(w) = -5*w + 4. Let q(c) = -4*k(c) + p(c). Let j be (-7)/1*(-3)/(-3). What is the units digit of q(j)?
7
Let w(m) = 18*m**2 - m. What is the units digit of w(-3)?
5
Let n(x) = 5*x**2 + x - 2. Let f(i) = -1. Let k(z) = -3*f(z) + n(z). What is the units digit of k(2)?
3
Let q = 78 + -49. Let b = -9 + q. What is the units digit of b?
0
Suppose -4*t + 2 = -6. Suppose -2 = -r + t. What is the units digit of r?
4
Let c be 67 - (-4)/(-1 + -1). Suppose 0 = -v + 6*v - c. What is the units digit of v?
3
Suppose 45 = -2*h + 3*h. Suppose -h = -6*l + l. What is the units digit of (-62)/(-6) + (-3)/l?
0
Suppose 4*f + 14 = 606. What is the hundreds digit of f?
1
Let f = 17 - 1. What is the units digit of f?
6
Suppose y + 27 = 4*y. Let g = -4 + y. Suppose 0 = -5*t - 3*r - r + 28, -g*t + r = -43. What is the units digit of t?
8
Let u(y) = -5 + 4 + y**2 + 2. Let m = -7 + 4. What is the units digit of u(m)?
0
What is the units digit of (-174)/(-15) + 4/10?
2
Let h(k) = -k**3 + 8*k**2 + 13*k. Let u be h(9). Suppose u = s - 2*s. What is the tens digit of (s/(-15))/(2/10)?
1
What is the tens digit of ((16 - 17) + 127/7)*14?
4
Suppose -2*m - 4*i + 0*i + 54 = 0, 2*m - 5*i - 63 = 0. What is the units digit of m?
9
Let s(p) = -p**2 - 6*p + 5. What is the units digit of s(-6)?
5
Let g be (0 + (-5)/2)*-2. Suppose 3*l - 3 = 3. Suppose g*j - 27 = l*j. What is the units digit of j?
9
Suppose 0 = 2*i + 4, i = 2*x - 3*x + 27. What is the units digit of x?
9
Let s = 5 - 10. Let y = 23 + -32. Let k = s - y. What is the units digit of k?
4
Let h be 16/(-10) + 8/(-20). Let p be 3/(-6) - (-15)/h. What is the units digit of (-2)/p - (-38)/8?
5
Let c = -12 + 12. Suppose -2*i + 2*k + 50 = c, 5*i - 84 - 37 = k. What is the tens digit of i?
2
Let c(j) = j**2 + 3*j - 4. Let z be c(-4). Suppose 2*g + z - 12 = 0. What is the units digit of (-2)/(-4)*(g + -2)?
2
Let g = -33 - -37. What is the units digit of g?
4
Let t be ((-1)/2)/((-4)/24). Let n(v) be the second derivative of v**5/20 - v**4/4 + v**3/6 + 2*v. What is the units digit of n(t)?
3
Suppose 250 = 5*m - 275. What is the tens digit of m?
0
Suppose -5*n + 2*p - p = -289, -n + 2*p + 56 = 0. Suppose -n = -4*g + 2. What is the units digit of g?
5
Suppose -12*r + 265 = -7*r. What is the units digit of r?
3
Suppose 0 = -3*j + 3 + 12. Suppose 0 = -j*x - 0*x. Suppose 3*m - 24 = -x*m. What is the units digit of m?
8
Suppose 4*z + 4*c = 108, 0*c + 4*c - 8 = 0. What is the units digit of z?
5
Suppose -2*w = w - 4*u - 38, -3*w = -2*u - 34. Suppose -6*t = -w*t + 48. What is the tens digit of t?
1
Let r(l) = l**3 + 8*l**2 + 5*l + 1. What is the tens digit of r(-6)?
4
Let a = -1 - -3. Suppose -a*l + 20 = 4*j, -5*l + 50 = -3*j - 0*j. What is the tens digit of l?
1
Let o(y) = -25*y - 1. Let n be o(-1). Suppose -2*v = -3*h - n, h - 17 = -3*v - 3. Suppose -30 = 3*k - v*k. What is the tens digit of k?
1
Let m = -50 + 70. Suppose m = 5*v - 5. Suppose v*o = 30 | {
"pile_set_name": "DM Mathematics"
} |
, 30 in descending order.
30, 5, -1, -4, -87
Put -1, -3, 167, 1, 7 in increasing order.
-3, -1, 1, 7, 167
Put 103, -4, -37, 1 in decreasing order.
103, 1, -4, -37
Put 1, -10180, -1, 3, 0 in increasing order.
-10180, -1, 0, 1, 3
Sort 4, 5, 2169, -2, 0.3.
-2, 0.3, 4, 5, 2169
Sort 0.42, 0.4, -23, -9/4 in decreasing order.
0.42, 0.4, -9/4, -23
Sort 35, -214, -2/7, 0, -5 in descending order.
35, 0, -2/7, -5, -214
Sort -10, 12, -2 in ascending order.
-10, -2, 12
Put 3, -5, 4, 43, -12, -96 in ascending order.
-96, -12, -5, 3, 4, 43
Put -5, 3, -1, 0, 2, 274 in descending order.
274, 3, 2, 0, -1, -5
Sort 0.03, -1, 64 in ascending order.
-1, 0.03, 64
Put 934, 71, -3, 4 in descending order.
934, 71, 4, -3
Sort -46, -86, 32 in descending order.
32, -46, -86
Sort -72, 1/6, -226 in decreasing order.
1/6, -72, -226
Put 0.017763, -0.1, 0 in increasing order.
-0.1, 0, 0.017763
Sort 3, 0, -3, -24781 in decreasing order.
3, 0, -3, -24781
Sort 3/7, 1/269, -2/9 in decreasing order.
3/7, 1/269, -2/9
Put 0.2, 24, -0.004, -12, 2/27 in descending order.
24, 0.2, 2/27, -0.004, -12
Put 1898, 0, -5 in descending order.
1898, 0, -5
Put -23, 10, -9, -1 in decreasing order.
10, -1, -9, -23
Sort -9.2, 0.3, 0.1, 5080 in descending order.
5080, 0.3, 0.1, -9.2
Put -9, -45, 3, -1/4 in increasing order.
-45, -9, -1/4, 3
Put -1, 2, 1, -245, 0, 54 in descending order.
54, 2, 1, 0, -1, -245
Sort 0, 4, 2, -9708, -4 in decreasing order.
4, 2, 0, -4, -9708
Put -4/7, 210, 73, 0.7, 2/9 in ascending order.
-4/7, 2/9, 0.7, 73, 210
Put -6, 14, 0, 2, 5 in decreasing order.
14, 5, 2, 0, -6
Sort 74, -4, 107 in increasing order.
-4, 74, 107
Sort 2, -5, -129, 5, 11 in increasing order.
-129, -5, 2, 5, 11
Put -5, -4, 417, -14, 6 in decreasing order.
417, 6, -4, -5, -14
Sort 2, 3, 0, -4, -732 in ascending order.
-732, -4, 0, 2, 3
Put 17, -6, 5, -179 in descending order.
17, 5, -6, -179
Sort -33/20, -158, 1/4, -0.5 in decreasing order.
1/4, -0.5, -33/20, -158
Put -5/7, -0.5, 0, 837 in descending order.
837, 0, -0.5, -5/7
Put -0.5, 606, 0.4, 0.2, 1, 15 in increasing order.
-0.5, 0.2, 0.4, 1, 15, 606
Sort 1/4, 0.3, -2/11, 0.11, -5/6 in ascending order.
-5/6, -2/11, 0.11, 1/4, 0.3
Sort 7, -273, -7, -5.
-273, -7, -5, 7
Sort 1, 2, 21, 229 in ascending order.
1, 2, 21, 229
Sort -195, -1/8, 0, -2/7.
-195, -2/7, -1/8, 0
Sort 5, -43, -15203 in ascending order.
-15203, -43, 5
Put 0, 10, 5833, -12, -2 in ascending order.
-12, -2, 0, 10, 5833
Put 0.8, -19, 13, -0.2 in decreasing order.
13, 0.8, -0.2, -19
Sort 8, -3, 4, -12, 1, -91 in descending order.
8, 4, 1, -3, -12, -91
Sort 9, -0.3, 1.22, 1/23, 4 in increasing order.
-0.3, 1/23, 1.22, 4, 9
Sort -8711, -3, -3/2 in ascending order.
-8711, -3, -3/2
Sort 2, 0, -2, 3, 116 in ascending order.
-2, 0, 2, 3, 116
Sort -5, -23668, 3, -3 in decreasing order.
3, -3, -5, -23668
Sort 2, -180, -3, -1, -164.
-180, -164, -3, -1, 2
Put 2, -3, 5, -5576, 0.3, 4 in ascending order.
-5576, -3, 0.3, 2, 4, 5
Put -6, 24, 0, -185 in descending order.
24, 0, -6, -185
Put -176, 3, 1/4, -6 in descending order.
3, 1/4, -6, -176
Sort -2, 41, 13/4, -0.2, 0.4.
-2, -0.2, 0.4, 13/4, 41
Sort 80, -7, 15, -2 in descending order.
80, 15, -2, -7
Sort 382, 2, -14 in ascending order.
-14, 2, 382
Sort -0.102, 0.3, -0.138 in increasing order.
-0.138, -0.102, 0.3
Sort 3/271, 0, -225/7 in increasing order.
-225/7, 0, 3/271
Put -15, 3, 465 in descending order.
465, 3, -15
Sort 3180, -3, -2, 5, 2.
-3, -2, 2, 5, 3180
Put -359, 2, 0, 27 in decreasing order.
27, 2, 0, -359
Sort -52, 5, -1627 in descending order.
5, -52, -1627
Sort 2, -12, -5 in descending order.
2, -5, -12
Put 20/7, 5, -96 in descending order.
5, 20/7, -96
Sort 1, -10, -13, 457 in decreasing order.
457, 1, -10, -13
Sort 4/5, 0.01, 5, 0.2, -1.18.
-1.18, 0.01, 0.2, 4/5, 5
Sort -1, -3, 36, 18, 2 in decreasing order.
36, 18, 2, -1, -3
Sort -1, -2/7, 9.9, 50, 2/11 in descending order.
50, 9.9, 2/11, -2/7, -1
Sort -5, 4, 1608.
-5, 4, 1608
Put 2, 1, 49, -8, 277 in decreasing order.
277, 49, 2, 1, -8
Put 2, -9, 0, -3, 4, -155 in ascending order.
-155, -9, -3, 0, 2, 4
Put -4, -2, 24, 97, -5 in descending order.
97, 24, -2, -4, -5
Sort -3, -4, -10, 30, -18, 5 in increasing order.
-18, -10, -4, -3, 5, 30
Put 18, -2, -1, -5 in increasing order.
-5, -2, -1, 18
Sort -558/7, -0.1, -5/3 in decreasing order.
-0.1, -5/3, -558/7
Sort -11, -40/3, 17, -5/3, -3 in ascending order.
-40/3, -11, -3, -5/3, 17
Put -4, 3, 31, 34, 4, 1 in increasing order.
-4, 1, 3, 4, 31, 34
Put -36, 0, -6, 3, -5 in ascending order.
-36, -6, -5, 0, 3
Put -10, 5, -2280/13, 0.1, 2/11 in descending order.
5, 2/11, 0.1, -10, -2280/13
Put 5, -2, 3, 2/21, 0.3, 2/485 in increasing order.
-2, 2/485, 2/21, 0.3, 3, 5
Put -3, 4, 2/7, 709, -4 in decreasing order.
709, 4, 2/7, -3, -4
Put -0.383, 4, 0, -225 in increasing order.
-225, -0.383, 0, 4
Sort -3/7, 1/2, 1, -622 in descending order.
1, 1/2, -3/7, -622
Put 4, -108, 2, -123 in descending order.
4, 2, -108, -123
Put -5, 38, 9, 10, 1, 2 in descending order.
38, 10, 9, 2, 1, -5
Sort 0.47, 1/2, -0.2, 0.4, -1, -1/6 in descending order.
1/2, 0.47, 0.4, -1/6, -0.2, -1
Sort 11, 0.4, -106.1, 3 in increasing order.
-106.1, 0.4, 3, 11
Put 164, 3, -30, -3 in decreasing order.
164, 3, -3, -30
Sort 4, -2, -20, 3, 0, -1.
-20, -2, -1, 0, 3, 4
Sort -273, -5, 5.
-273, -5, 5
Sort -2, -4, 4, -0.059.
-4, -2, -0.059, 4
Sort -2, 2, 3, 89, -1 in increasing order.
-2, -1, 2, 3, 89
Put -2/3, -17, 39.97 in decreasing order.
39.97, -2/3, -17
Sort 0.1, -1/8, -1.335, 36, 4 in descending order.
36, 4, 0.1, -1/8, -1.335
Sort 2, 0.3, -0.1, 3.2, 137/12, 3/7.
-0.1, 0.3, 3/7, 2, 3.2, 137/12
Put 14, 11, 6, -1, 4, -56 in descending order.
14, 11, 6, 4, -1, -56
Sort 0.4, 120, 5, -2, 0.3 in decreasing order.
120, 5, 0.4, 0.3, -2
Put 87, -3, 16 in descending order.
87, 16, -3
Put -25, 0, -5, 53 in decreasing order.
53, 0, -5, -25
Sort 0.5, 9, -1/4, -0.49, -1 in decreasing order.
9, 0.5, -1/4, -0.49, -1
Sort 0.5, -6, -1/8, -8, 10, -0.542 in decreasing order.
10, 0.5, -1/8, -0.542, -6, -8
Sort 15, 6, -4, -3, -39, 1 in decreasing order.
15, 6, 1, -3, -4, -39
Sort -6, -5, 1, -3, -11, -1 in descending order.
1, -1, -3, -5, -6, -11
Sort -4, 219, 9, -1, -2, 10 in decreasing order.
219, 10, 9, -1, -2, -4
Put -3/23, -259, 0.19 in descending order.
0.19, -3/23, -259
Put -2/23, 121, 0.6, -3 in descending order.
121, 0.6, -2/23, -3
Sort 47, -2, -1428 in increasing order.
-1428, -2, 47
Sort 167, 4, 0.06, 27, 2/7 in descending order.
167, 27, 4, 2/7, 0.06
Sort 1688/7, 2, 1/5, -1/6, 15 in ascending order.
-1/6, 1/5, 2, 15, 1688/7
Sort 3, -238072, -1 in decreasing order.
3, -1, -238072
Put 6, -68, -36, -4 in descending order.
6, -4, -36, -68
Sort 1, 8, -2, 2, 5, 202.
-2, 1, 2, 5, 8, 202
Put 2, 4, -8, 5, 0, -1 in descending order.
5, 4, 2, 0, -1, -8
Sort 0.4, 62/3, -0.041, 8.
-0.041, 0.4, 8, 62/3
Put 31, 2, -5, -1, -32, -6 in descending order.
31, 2, -1, -5, -6, -32
Sort 211, 0, 4/3, -6 in descending order.
211, 4/3, 0, -6
Put 2, -4, 1, 10, -5, 76 in increasing order.
-5, -4, 1, 2, 10, 76
Put -3, -50, 35, -4 in ascending order.
-50, -4, -3, 35
Put 7, 2, 1196 in ascending order.
2, 7, 1196
Put 3, -4, 22167 in decreasing order.
22167, 3, -4
Sort 0, 9, 2, 4, 18.
0, 2, 4, 9, 18
Sort -4, 2, 124, -1, 5 in decreasing order.
124, 5, 2, -1, -4
Sort -14, 0, -9, 616.
-14, -9, 0, 616
Sort 4, 2/7, -3, -4309, 0.13 in ascending order.
-4309, -3, 0.13, 2/7, 4
Sort 12/11, -34.2, -0.2, -0.13 in increasing order.
-34.2, -0.2, -0.13, 12/11
Put 2, -4, 3, -1 in descending order.
3, 2, -1, -4
Put -103, 3, -5 in decreasing order.
3, -5, -103
Sort -1/4, -2, -0.4, 0.85, -52, -3.
-52, -3, -2, -0.4, -1/4, 0.85
Sort 4, -971, -1.
-971, -1, 4
Sort 102, -28, 2 in ascending order.
-28, 2, 102
Sort 40, 3, 5, 0, -2, 86 in decreasing order.
86, 40, 5, 3, 0, -2
Put 9, 1178, 0, 2 in increasing order.
0, 2, 9, 1178
Sort -2, -89508/23, 1/2, -4 in decreasing order.
1/2, -2, -4, -89508/23
Put -1, -2, -249, 4, 1, 2 in descending order.
4, 2, 1, -1, -2, -249
Sort 1/50, 9, -2, 3, -1/8 in increasing order.
-2, -1/8, 1/50, 3, 9
Put 9, 192, 4, -12 in increasing order.
-12, 4, 9, 192
Put 3, 1, 4, 8, -235 in decreasing order.
8, 4, 3, 1, -235
Put 115589, 0, 3 in decreasing order.
115589, 3, 0
Put 4/13, 1, -8/11 in increasing order.
-8/11, 4/13 | {
"pile_set_name": "DM Mathematics"
} |
(p) be the first derivative of 0*p + 0*p**2 - 49 + 8/3*p**3. Give d(f(k)).
32*k**2
Let j(o) be the first derivative of 3*o**2 + 7. Let n(q) = 11375*q**2 - 5687*q**2 - 5726*q**2. Calculate n(j(d)).
-1368*d**2
Let v(a) = -a**2 + 124. Let b(k) = -3*k**2 + 395. Let y(h) = -4*b(h) + 14*v(h). Let r(q) = 2*q. Give r(y(z)).
-4*z**2 + 312
Let s(a) = 10*a**2 - 3*a + 915. Let i(f) = 21*f**2 - 7*f + 2135. Let p(z) = -6*i(z) + 14*s(z). Let t(w) = w - w + 15*w**2. Determine p(t(u)).
3150*u**4
Let t(o) = o**2 - o. Let f = 319 - 318. Let m(n) = -17*n**2 + 2*n. Let k(c) = f*m(c) + 2*t(c). Let a(p) = -8*p**2. Calculate a(k(u)).
-1800*u**4
Let n(w) = 2*w**2. Let p be (5/(-2) + 2)*(-1 - -3). Let h(u) = u + 1. Let q(o) = -5*o + 25. Let t(x) = p*q(x) - 4*h(x). Give n(t(f)).
2*f**2 - 116*f + 1682
Let z(f) = f**2 - 14*f - 23. Let k be z(16). Let w(m) = -7 - 2 + 6*m + k. Let b(v) = -4668 + v + 4668. Calculate w(b(u)).
6*u
Let u(h) be the third derivative of -h**4/12 + 982*h**2. Let p(l) = 32*l**2. Calculate p(u(i)).
128*i**2
Let b(v) = 92*v**2 + 7. Let j(y) = 63584*y. Determine b(j(x)).
371949105152*x**2 + 7
Let n(y) = -75*y**2 + 369*y**2 + 402*y**2 + 148*y**2. Let k(a) = 19*a. Give n(k(l)).
304684*l**2
Let b(a) = -334*a**2. Let n(z) = -5*z**2 - 13*z - 338. Let c(k) = -k**2 - 3*k - 78. Let r(m) = 26*c(m) - 6*n(m). Calculate b(r(i)).
-5344*i**4
Let q(t) = -11775 + 8*t**2 - 11781 + 23520. Let y(z) = -z. Calculate y(q(d)).
-8*d**2 + 36
Let j(l) = -218051*l. Let o(t) = -28*t**2. Give o(j(a)).
-1331294680828*a**2
Let f(t) = -563*t - 568*t + 1150*t. Let z(w) = 19*w. Determine z(f(i)).
361*i
Let p(g) = -2*g**2 - g + g. Let j = -290 - -292. Let f(d) = -195*d + 195*d - 21*d**j. Calculate f(p(k)).
-84*k**4
Let w(r) be the second derivative of r**3/3 - 5*r. Suppose 33*a - 41*a + 264 = 0. Let i(c) = -a*c - 21 + 40 - 19. Calculate w(i(j)).
-66*j
Let k(r) = -2*r. Suppose 0 = -28*y + 5*y + 69. Let t(w) = 23 + 18*w - 3*w - 5*w - 10*w + y*w**2. Calculate t(k(u)).
12*u**2 + 23
Let o(c) = -2*c**2. Let r(x) = -129497*x**2. Calculate r(o(g)).
-517988*g**4
Let r(z) = z**2 + 5108. Let g(b) = -3*b + 28. Calculate r(g(f)).
9*f**2 - 168*f + 5892
Let f(a) = 14*a**2 - 2*a. Let z(v) = -264*v - 44. Let c(o) = 35*o + 6. Let i(p) = 22*c(p) + 3*z(p). What is i(f(h))?
-308*h**2 + 44*h
Let r(n) = 12*n. Let d(i) = 3*i - 15*i + 3*i + 8*i. Let w(j) = d(j) + r(j). Let k(y) = 7*y**2. Calculate k(w(f)).
847*f**2
Let c(p) = p**2 + 5*p - 294. Let m(l) = 25*l**2. Give c(m(d)).
625*d**4 + 125*d**2 - 294
Let v(h) be the second derivative of -h**6/36 - 70*h**3/3 - h + 140. Let i(w) be the second derivative of v(w). Let t(z) = -z**2 - 8*z. Calculate i(t(f)).
-10*f**4 - 160*f**3 - 640*f**2
Let x(z) be the second derivative of z**4/6 - 77*z**2/2 - 217*z. Let b(d) be the first derivative of x(d). Let j(h) = -5*h - 2. Determine j(b(s)).
-20*s - 2
Let t(j) = -324*j**2. Let n(b) = -75264*b**2. Calculate t(n(f)).
-1835352981504*f**4
Let z(j) = 2*j**2 + 3*j + 9. Let n(y) = -y**2 - 3*y - 9. Let o(t) = -2*n(t) - 2*z(t). Let c(f) = 1252*f**2. Calculate c(o(v)).
5008*v**4
Suppose 4*w - 9 = -5. Let k be (4/7)/(w/(-21)*-6). Let a(x) = x - 9*x**2 - x + k*x**2. Let f(n) = -n**2. Give f(a(i)).
-49*i**4
Let f(q) = q. Let b(i) = -280*i**2 + 5877*i. What is b(f(l))?
-280*l**2 + 5877*l
Let n(f) = -44*f**2. Let z be (-2)/6 + (-22)/6 + 398. Let o(s) = -3*s**2 + 394 - z. Give n(o(c)).
-396*c**4
Let z(h) = -153*h**2 + 34. Let w(g) = 19*g**2 - 4. Let t(y) = 17*w(y) + 2*z(y). Let b(u) = 3*u + 2. What is t(b(x))?
153*x**2 + 204*x + 68
Let i(d) = 24 - 6 - 7 - 6 - 6 - 4*d. Let j(r) = 2*r. Determine j(i(p)).
-8*p - 2
Let s(y) = y**2. Let k(t) be the second derivative of -1163*t**3/3 + 2549*t. Determine k(s(d)).
-2326*d**2
Let l(f) = 2*f + 1192. Let g(c) = -2*c**2 - 1650561*c + 1650561*c. Determine l(g(n)).
-4*n**2 + 1192
Let b(y) be the second derivative of -8*y**4/3 - 269*y. Let g(d) = -589*d + 1189*d - 597*d. Calculate g(b(a)).
-96*a**2
Let g(z) = 2*z**2. Suppose -4*c = -m + 8, 2 = -m - c - 0. Let i(h) = -2*h**2 - h + 28. Let x be i(m). Let r(v) = -29*v - 20*v + x*v. Determine r(g(d)).
-42*d**2
Let c(l) = 4*l. Let b(y) = -11463*y**2 + 11*y - 3. Calculate c(b(r)).
-45852*r**2 + 44*r - 12
Let w(v) = -183*v. Let l(o) = 8*o**2 - 41502*o. Give w(l(u)).
-1464*u**2 + 7594866*u
Let b(z) = -13287*z + 6635*z + 6662*z. Let f(k) = -529*k**2. What is b(f(r))?
-5290*r**2
Let q(v) = -23*v + 1. Let m(l) = -l**2 + 2*l - 10. Let h(r) = 18*r**2 - 39*r + 195. Let a(t) = 2*h(t) + 39*m(t). Determine q(a(i)).
69*i**2 + 1
Let w(n) = -59*n - 96. Let b(k) = 19*k + 36. Let m(j) = 8*b(j) + 3*w(j). Let l(s) = 35*s. Determine l(m(r)).
-875*r
Let z(o) = -21*o. Let f(u) be the third derivative of 15*u**2 + 0*u + 1/12*u**4 + 0 + 0*u**3. Let r(k) = -22*f(k) - 2*z(k). Let p(s) = 4*s**2. Give p(r(m)).
16*m**2
Let z(d) = -2*d. Let m(a) = 407946327*a. Determine z(m(l)).
-815892654*l
Let r(z) = 6*z**2. Let a(c) = -c**2 - 20*c - 41. Let f be a(-17). Suppose 3*x + 4 = f. Let i(q) = -q**2 - 4*q**2 + 7*q**x. Calculate i(r(p)).
72*p**4
Let x(l) = -l - 32. Let d(c) = -11*c + 22*c - 529 + 529 - 17*c. Determine d(x(s)).
6*s + 192
Let l(b) = -2*b. Suppose -116 = 2*h - 2*z - 158, -h - 2*z = -15. Let v(a) be the first derivative of -h + 0*a + 11/3*a**3 + 0*a**2. Give v(l(d)).
44*d**2
Let i(a) be the third derivative of -19*a**4/24 + 16*a**2 + 7. Let r(f) be the first derivative of -4*f**3/3 - 4. What is i(r(d))?
76*d**2
Let a(u) = 2*u**2 - 1052198*u. Let l(b) = -18*b. Calculate l(a(h)).
-36*h**2 + 18939564*h
Suppose -3*l - c + 63 = 3, -4*l = 3*c - 80. Let j(o) = -l + 1987*o - o**2 - 1987*o. Let n(g) = 2*g**2. Determine n(j(w)).
2*w**4 + 80*w**2 + 800
Let o(q) = -8*q + 4. Let w(j) = j - 1. Let x(f) = -o(f) - 4*w(f). Let a be 12/(-12) + 6 + 1*20. Let d(c) = -15*c**2 + a*c**2 - 7*c**2. Calculate x(d(b)).
12*b**2
Let y(x) = -3*x**2 - 8*x. Let t(c) be the first derivative of 2*c**3/3 + 5*c**2/2 - 152. Let z(q) = 8*t(q) + 5*y(q). Let a(b) = 13*b**2 - b. Calculate a(z(g)).
13*g**4 - g**2
Let t(w) = -3*w. Let q(o) = -o**2 - 3*o + 40. Let u be q(-7). Suppose -u*m = -27 + 3. Let d(b) = 7*b + 6*b**m - 7*b - 4*b**2. Give d(t(a)).
18*a**2
Let u(n) = 12*n**2 - 133870*n - 18*n**2 + 133870*n. Let z(q) = -3*q - 36. What is u(z(h))?
-54*h**2 - 1296*h - 7776
Let s be (-4 + (-26)/(-4))/(2/4). Let a(j) = -10*j**2 + 3*j**2 + s*j**2. Let t(f) be the first derivative of 7*f**2 + 32. Calculate a(t(q)).
-392*q**2
Let t(v) = 14*v**2 - 25*v**2 + 3*v**2 + 4 + 1 + 8*v. Let p(q) = 2*q**2 - q - 1. Let y(w) = 5*p(w) + t(w). Let a(n) = 3*n. What is a(y(f))?
6*f**2 + 9*f
Let q = 16 + -2. Let u(r) = 258 - q*r - 138 - 120. Let t(z) = -13*z**2. Determine u(t(l)).
182*l**2
Let i be (-64)/(-34) - (-2)/17. Let t(q) = 9*q**2 + 4*q**2 + 11*q**2 - 2*q**i. Let z(p) be the third derivative of p**4/24 - 58*p**2. Determine z(t(g)).
22*g**2
Let p(n) be the first derivative of 2*n**3/3 + 876. Let k(z) = 585*z. What is p(k(y))?
684450*y**2
Let u(x) be the third derivative of x**4/24 - x**2. Let j(b) = -2*b. Let i(l) = 9 + 4102*l - 9 - 4219*l. Let t(k) = i(k) - 54*j(k). Calculate t(u(a)).
-9*a
Let v(l) = -l**2 + 5851. Let b(i) = -2863*i. Calculate b(v(p)).
2863*p**2 - 16751413
Let k(n) = 0*n + 41*n + n - 31*n. Let x(f) = -124*f - 2. Give k(x(b)).
-1364*b - 22
Suppose 4*g = -2*p + p + 33, p = g + 23. Let s(r) = 136*r**2 + p*r**2 - 47*r**2. Let k(i) = i**2. Calculate s(k(n)).
114*n**4
Suppose 2*u = -4, r + u - 5 + 0 = 0. Let j(k) = -4*k + r - 7. Let f(i) = 4*i + 24. Let a(t) = -t**2 - 10*t - 60. Let d(o) = -4*a(o) - 10*f(o). Give j(d(p)).
-16*p**2
Let j(b) = 16*b. Let r(a) = 131466 - 131466 - 109*a. Calculate j(r(h)).
-1744*h
Let l(p) be the second derivative of p**3/3 + 2*p - 15. Let f(j) = -1085*j**2 + j. Calculate l(f(w)).
-2170*w**2 + 2*w
Let j(x) = -x**2 + 3*x. Let c(b) = 2*b**2 - 5*b. Let s(i) = -3*c(i) - 5*j(i). Let l(k) = 5500*k - 11020*k - 55*k**2 + 5520*k. Determine l(s(y)).
-55*y**4
Let r(z) = 11249175*z. Let l(j) = -j. Give l(r(f)).
-11249175*f
Let v(z) = 8*z**2. Let o(a) = -a**2. Let j be 1 - 35/7 - -12. Let q(r) = -3 - 10*r**2 + 3 + 2*r**2. Let x(m) = j*o(m) - 2*q(m). Determine x(v(i)).
512*i**4
Let k(c) = c - 147. Let t(n) = 20*n**2 - 14*n + 6. Let i(y) = -62*y**2 + 49*y - 21. Let v(f) = -2*i(f) - 7*t(f). Calculate k(v(j)).
- | {
"pile_set_name": "DM Mathematics"
} |
- 2*sqrt(242) - sqrt(2)))**2.
-7*sqrt(11)/18 + 63515/1296
Simplify 4 + 6*5*(sqrt(1331)*3)**2*-1.
-359366
Simplify (2 + -3 + sqrt(2057) + 1)*-1*-1.
11*sqrt(17)
Simplify -5*((sqrt(13) - (sqrt(13) - (sqrt(13) + (sqrt(832)*-5 - sqrt(13))))) + sqrt(637) + 4 + sqrt(13)).
-20 + 160*sqrt(13)
Simplify -5*((sqrt(800) + (sqrt(800) + 1 - sqrt(800)))*2 + 3*(-1 + sqrt(800)))**2*-5.
-5000*sqrt(2) + 500025
Simplify (((sqrt(84)*-1 + sqrt(84) - sqrt(84)) + sqrt(84))*-1)/(sqrt(48)*4 + sqrt(12)) + -1*sqrt(2268)*2.
-36*sqrt(7)
Simplify 6*-4*(sqrt(272) + 0)**2 + -3.
-6531
Simplify (2 + -3*-2*(sqrt(320) + -3*sqrt(320))*-3)**2.
1152*sqrt(5) + 414724
Simplify ((sqrt(190) - sqrt(190)*-3*3) + sqrt(190))/(sqrt(120)/(sqrt(12)*2)).
22*sqrt(19)
Simplify -5*sqrt(22)/(sqrt(55)/sqrt(5)) - (sqrt(72)/sqrt(3)*-6)/sqrt(12).
sqrt(2)
Simplify (3 + (-1*sqrt(3) + sqrt(3))*-2 + (sqrt(192) + 1 - sqrt(3))*3)**2.
252*sqrt(3) + 1359
Simplify ((sqrt(76)/(sqrt(16)/sqrt(4)) + sqrt(19))*6)**2*1 + 5.
2741
Simplify ((sqrt(104) + (1*sqrt(104) - sqrt(104)) + sqrt(104))*-1 - 3*(sqrt(104) + sqrt(104)*2 + sqrt(104)))/(6*sqrt(56)/(sqrt(7)*-1)).
7*sqrt(13)/3
Simplify ((sqrt(60)/(-1*sqrt(12)))**2 + -5)*-5 + sqrt(55)/((sqrt(121) - sqrt(121)*2)/sqrt(11)) + 0.
-sqrt(5)
Simplify (-3 + (sqrt(76)/sqrt(4)*4)**2 - ((sqrt(1539) + 1)*-2)**2)*4.
-23436 - 288*sqrt(19)
Simplify -5*(sqrt(12)/sqrt(4) + sqrt(3)) + (-1 + sqrt(3) + sqrt(3))*5 - (sqrt(36)*2)/sqrt(12)*-1.
-5 + 2*sqrt(3)
Simplify 5 + 2*((sqrt(110) + 5*(sqrt(110) - (-1*sqrt(110) + sqrt(110))))/sqrt(10) + sqrt(66)/(1*sqrt(486))).
5 + 110*sqrt(11)/9
Simplify (-2 + (-2 + sqrt(5808) + -2*sqrt(5808) - sqrt(5808)) + sqrt(5808)*4 + 1)**2.
-528*sqrt(3) + 23241
Simplify -6*(-4 + sqrt(2057)*-2 - sqrt(2057))**2*-6.
9504*sqrt(17) + 667044
Simplify -5*(((sqrt(486)/sqrt(9) + sqrt(6))/(sqrt(8)/sqrt(36)))**2 + -5).
-2135
Simplify (sqrt(850) + 2*sqrt(850) - sqrt(850) - sqrt(850))/(sqrt(98)*2).
5*sqrt(17)/14
Simplify (sqrt(847) - (sqrt(847) + 0 + -5))*-2 + (-6*-5*(sqrt(847) - (-1 + sqrt(847))))**2.
890
Simplify (sqrt(85) + sqrt(85) + (3*sqrt(85) + sqrt(85) - sqrt(85))*-5)/(sqrt(160)/sqrt(8)).
-13*sqrt(17)/2
Simplify -5*-6*sqrt(51)/sqrt(3) - (sqrt(102) - -2*sqrt(102)*1)/sqrt(6).
27*sqrt(17)
Simplify (1*2*-2*sqrt(1539)*-6*-5)**2.
22161600
Simplify ((-4*(sqrt(432) + 1 + sqrt(432)) + sqrt(432))**2 + 1*-1*sqrt(432) - (sqrt(432) + (sqrt(432) + 1 + sqrt(432))*-2)*-4)*6.
3096*sqrt(3) + 127056
Simplify ((sqrt(700)*2)**2 - sqrt(7)) + (-3*sqrt(700))**2 + -3*-1*1*sqrt(7)*1.
2*sqrt(7) + 9100
Simplify (((sqrt(90)*3)/sqrt(2) + sqrt(45) - sqrt(45))**2 - (3 + sqrt(500))) + -2.
-10*sqrt(5) + 400
Simplify (sqrt(25)/(2*sqrt(5)) + -1*sqrt(500))**2 - (2 + 1*sqrt(605)).
-11*sqrt(5) + 1797/4
Simplify -1 + ((sqrt(168)/(sqrt(7)*-1))/((2*sqrt(56))/sqrt(7)))**2*-4.
-4
Simplify (-5*sqrt(100)/sqrt(4) + sqrt(900)*2 + sqrt(900))/(((sqrt(30)*2)/sqrt(6) - sqrt(5)) + sqrt(45)/(sqrt(27)/sqrt(3))).
13*sqrt(5)/2
Simplify 2*(sqrt(30)/sqrt(108))/((sqrt(5) + (sqrt(5) - sqrt(5)*-2))*3).
sqrt(2)/36
Simplify (-2 + ((sqrt(112) + 0)*-3 + sqrt(112))*-5)**2.
-160*sqrt(7) + 11204
Simplify -6*(sqrt(54)/sqrt(2)*-6 - 2*(sqrt(6)/sqrt(2) + -2))**2*1.
-7296 + 960*sqrt(3)
Simplify 6*sqrt(3)*-1 + -4 + sqrt(3) + 0 + 3 + (-1 + sqrt(3) - sqrt(3)) + 5.
-5*sqrt(3) + 3
Simplify (((sqrt(140)*2)/sqrt(5) - (sqrt(7) + -2*sqrt(700))*-2)*-4)**2.
129472
Simplify 3*(5 + (2*(sqrt(102)*-1*4)/sqrt(6)*-4)**2).
52239
Simplify (sqrt(35)/sqrt(5)*5 - -5*(sqrt(35)/sqrt(5) + sqrt(7))) + -4.
-4 + 15*sqrt(7)
Simplify (-6*(3 + sqrt(2)))**2 + 4 + 2*sqrt(32)*6.
264*sqrt(2) + 400
Simplify ((sqrt(448) + -2*sqrt(448))*3)/(sqrt(64) - sqrt(64)*-1*2).
-sqrt(7)
Simplify 4*(-6*(3*(sqrt(720) + -2 + sqrt(720) + sqrt(720)) + sqrt(720) + 0))**2.
-207360*sqrt(5) + 10373184
Simplify (-4*(-5*-3*sqrt(77) - sqrt(77)))/(-2*sqrt(891) - (sqrt(396) - (sqrt(396) - ((sqrt(396) - -2*sqrt(396)) + sqrt(396))))).
4*sqrt(7)/3
Simplify (-3*(sqrt(104) + -4*(3*sqrt(104) + sqrt(104) - sqrt(104) - sqrt(104))))/((sqrt(64) + sqrt(64)*1*-4)/sqrt(8)).
-7*sqrt(13)
Simplify (((1 + sqrt(117) - sqrt(117)) + 5)**2 + sqrt(117) + -4*sqrt(117) + 5)*5 + 5.
-45*sqrt(13) + 210
Simplify -3*(5*sqrt(84)/(sqrt(24)/sqrt(2))*-1)**2.
-525
Simplify sqrt(11) + -2 + -2 + -3 + ((sqrt(1100) - (sqrt(1100) + -4)) + -4)**2.
-7 + sqrt(11)
Simplify -3*(sqrt(45) + sqrt(180)/sqrt(4) + 4 + (2*sqrt(540))/sqrt(12) + sqrt(45))**2*-4.
1440*sqrt(5) + 13692
Simplify (-4*(5 + 0 + sqrt(1008) + -2)*-2)**2.
4608*sqrt(7) + 65088
Simplify 4*sqrt(51)/sqrt(3) - -1*(sqrt(68)/sqrt(4) + sqrt(17)) - sqrt(170)/(sqrt(10)*1*-5).
31*sqrt(17)/5
Simplify -5 + (-6*(sqrt(1053) - 2*sqrt(1053)) + (sqrt(1053) - (0 + sqrt(1053)))*-1 + 2 + 5*-1*sqrt(1053))**2.
36*sqrt(13) + 1052
Simplify ((6*sqrt(640) + sqrt(40))/(sqrt(784)/sqrt(2)) + 3)**2.
150*sqrt(5)/7 + 3566/49
Simplify ((sqrt(612) - (sqrt(612) + -5*(sqrt(612) + -4) + sqrt(612)))**2 + (3 + 3 + sqrt(612) + sqrt(612))**2)*-5.
-63380 + 4080*sqrt(17)
Simplify ((sqrt(77) - (sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77)*2)*5 - sqrt(77))*3)/(sqrt(28)/(2*sqrt(4))*1).
-150*sqrt(11)
Simplify (5 + -4*(1*sqrt(136)*6)/((sqrt(48)*-2)/sqrt(6)))**2.
120*sqrt(17) + 2473
Simplify (-6*sqrt(1331)*2 - (0 + 2*sqrt(1331))**2)*2.
-10648 - 264*sqrt(11)
Simplify sqrt(336)/(-2*sqrt(12)) - 2*sqrt(112) - (sqrt(28)*-2*4 - (-3 + sqrt(252)))**2.
-3397 + 123*sqrt(7)
Simplify (0 + 0 + sqrt(1280) + 0 + 4)**2.
128*sqrt(5) + 1296
Simplify (sqrt(700) - 4*(sqrt(700) + 2 + sqrt(700)) - (sqrt(700) + 1 + -2))**2.
1120*sqrt(7) + 44849
Simplify ((-1*sqrt(48))/sqrt(4))/((sqrt(432)/sqrt(12))/sqrt(9)).
-sqrt(3)
Simplify (2*sqrt(99) + 5 - (4 + 2*sqrt(11)*-5))**2.
32*sqrt(11) + 2817
Simplify ((sqrt(208))**2*-6 - sqrt(117)/(sqrt(9)*-2))*2 - (((-2*sqrt(1300))**2 - sqrt(143)/sqrt(176)) + -3).
-7693 + 5*sqrt(13)/4
Simplify ((sqrt(1331) + sqrt(1331) + 0 + 0)*1*2 + -1)**2.
-88*sqrt(11) + 21297
Simplify -6*(sqrt(26) - (sqrt(2600) - (sqrt(2600) + 4*sqrt(2600))))/sqrt(2) + 3.
-246*sqrt(13) + 3
Simplify 3 + -1 + -2 + (sqrt(13) - (sqrt(117)*-1)**2).
-117 + sqrt(13)
Simplify (-3*-2*sqrt(576))/((sqrt(96)*-2 - sqrt(96))/sqrt(8)*5).
-8*sqrt(3)/5
Simplify (sqrt(315)/sqrt(5))**2 + sqrt(7) + sqrt(252) + 1 + sqrt(252) + ((sqrt(126) - 1*sqrt(126) - sqrt(126)) + sqrt(14))/sqrt(2).
11*sqrt(7) + 64
Simplify 1 + (3*(sqrt(931) + sqrt(931)*2) + (sqrt(931) + (sqrt(931) - (sqrt(931) + 1)))*-1)**2.
112*sqrt(19) + 59586
Simplify (((-1*sqrt(135))/sqrt(5) - (sqrt(27) - sqrt(27)*-2)*-6) + (sqrt(27) + sqrt(27) + sqrt(108)/sqrt(4)*-5 - -1*sqrt(27)*-6))**2*2.
3456
Simplify ((-2*sqrt(39)/sqrt(3) - (-1*sqrt(13) + -5)) + -2)*6 + -1.
-6*sqrt(13) + 17
Simplify (3*(-1 + ((sqrt(170) - 6*sqrt(170)*-2) + sqrt(170))/(sqrt(10) - 5*1*sqrt(10))))**2.
63*sqrt(17) + 7533/4
Simplify (-3*(4 + (sqrt(304) - (sqrt(304) + -1)) - sqrt(304)*-2*5))**2.
3600*sqrt(19) + 273825
Simplify (1*sqrt(85)*-6 + 1*sqrt(85)*2)/(sqrt(30)/(sqrt(600) + sqrt(24) + sqrt(24))).
-56*sqrt(17)
Simplify (1*(4 + 3*sqrt(325) + sqrt(325) + (sqrt(325) - (3 + sqrt(325) - sqrt(325)))*2) + -5)**2.
-420*sqrt(13) + 11749
Simplify 1*(2*(sqrt(425) + 1) + (0 + sqrt(425) + (sqrt(425) - (4*sqrt(425) + sqrt(425))) - sqrt(425)))**2.
-40*sqrt(17) + 1704
Simplify (4*-2*sqrt(119))/(-1*sqrt(28)) + 2.
2 + 4*sqrt(17)
Simplify (sqrt(1500)*1)/sqrt(3) - (3 + sqrt(5) + sqrt(20))*6.
-18 - 8*sqrt(5)
Simplify (-5 + (sqrt(637) - 2*sqrt(637)) + sqrt(637) - 6*(sqrt(637) + -1) - ((1 + sqrt(637))*-5 + sqrt(637) - (sqrt(637) + 0)*-1))**2.
-252*sqrt(13) + 5769
Simplify (6*(-1 + 5 + (sqrt(448) - (sqrt(448)*2 + sqrt(448))) + 5))**2.
-10368*sqrt(7) + 67428
Simplify (6*sqrt(150))/(sqrt(2) - (sqrt(22)*5 + sqrt(22))/sqrt(11)).
-6*sqrt(3)
Simplify ((sqrt(1900) - (-1 + sqrt(1900) + -4 + sqrt(1900))) + 4*-3*sqrt(1900))**2.
-1300*sqrt(19) + 321125
Simplify (sqrt(224)/sqrt(128) + sqrt(28) + -2*sqrt(28)*2)/(sqrt(36) + sqrt(900) + (2*sqrt(100) - sqrt(100))).
-11*sqrt(7)/92
Simplify (sqrt(117) + 4*sqrt(117)*-3)/((-3*sqrt(99))/sqrt(11)).
11*sqrt(13)/3
Simplify 5 + (sqrt(84) + (sqrt(84) - (sqrt(84) + (sqrt(84) - -3*sqrt(84)*-2))) + sqrt(84) + sqrt(84)*1*3)/(-2*sqrt(6912)).
-5*sqrt(7)/24 + 5
Simplify ((sqrt(30) + -3*((sqrt(30) + 1*sqrt(30) + sqrt(30) - sqrt(30)) + sqrt(30) - sqrt(30)))/(sqrt(24)*1) + -2 + 3)*-1.
-1 + 5*sqrt(5)/2
Simplify -2 + ((-4*(sqrt(875)*-2 - sqrt(875)))/((sqrt( | {
"pile_set_name": "DM Mathematics"
} |
te 3/48 - (-21735)/1680.
13
Evaluate (-64)/(-8) - (-280)/(-32).
-3/4
What is ((-3666)/3713 + 2/2)*-2?
-2/79
What is (1 + 35)*20/30?
24
Calculate (-1)/2 + (-40)/(2080/(-702)).
13
(-2)/(-4)*(-388)/3007
-2/31
What is the value of (-35)/3710*(2 - 6)*1?
2/53
Calculate (-2)/((70/(-10))/(-7)*1).
-2
What is the value of 1027/65 + -6 + (-30)/3?
-1/5
Calculate ((-1547)/65 + 23)/(-2).
2/5
Calculate (17/68)/(-5 + -8 + 7928/608).
19/3
4 + (1218/63 - 26)
-8/3
What is the value of 9/(-18)*12*(-26)/(-663)?
-4/17
Calculate ((-63)/252)/(6/(-16))*(-9)/(-21).
2/7
What is the value of 16895/(-6510) - (-2)/21?
-5/2
What is (-54)/(-63)*126/(-486)?
-2/9
Calculate 1892/121 + 164/451.
16
Calculate (-252)/(-546)*(-1664)/480.
-8/5
Evaluate (0 - 13) + (10 + 1 - 6).
-8
What is the value of (-106)/8 + (-453)/604?
-14
What is the value of 9/12 - (-897)/(-1092)?
-1/14
Evaluate (167/(-15) + 11)/(-4*(-5)/(-400)).
8/3
What is the value of (-162)/(-11) + (-16 - -1)?
-3/11
(-271907)/14987 + 1 + 17
-1/7
Evaluate (270/20 - 21) + 6.
-3/2
What is the value of ((-2)/(2/3))/((-3251)/(-22757))?
-21
What is 64/(-144) + (2 - (786/54 + -4))?
-9
What is ((-74340)/(-220))/(-21) - 2/(-22)?
-16
What is the value of (59488/19968)/((-6)/(-4)) - 4/2?
-1/72
-8*(6 + (-9 - (-385)/126))
-4/9
Evaluate (-2840)/135 - (-36 + 15).
-1/27
Calculate 12 + 7 - (16 - 13).
16
What is -2 - -5 - ((-11040)/416 - -30)?
-6/13
What is the value of 10192/44352 + 6/297?
1/4
Evaluate ((1/(-6) - 185/222) + 3)/39.
2/39
What is 3033/(-337) + (1/60)/(2/1083)?
1/40
Calculate 775/37 + (301 - 322).
-2/37
Evaluate -8*(0 + -1) + 26274/(-3171).
-2/7
Calculate (21/(-19845)*15)/((-1)/3*1).
1/21
Calculate (36 + (-7566)/208)/((-2)/(-4)).
-3/4
What is the value of (-28)/16 + (-72)/96?
-5/2
What is (-9 - -33 - 2) + -17 + 9?
14
What is the value of 1/(11/(429/(-52))*6/4)?
-1/2
Calculate (21296/252)/11 + -9 - (-3)/(-27).
-10/7
Evaluate ((-3)/7 + (-152)/(-224))*(-24)/(-81).
2/27
Evaluate (192/138)/((-116)/(-1334)).
16
What is (-11)/(28/(-6)*-3) - (-32)/112?
-1/2
Calculate (13/8)/(606/1616).
13/3
Calculate ((-49)/(-21) - 2 - -1)*(-26)/104.
-1/3
Evaluate (-10246)/(-37278) + (-4)/18.
1/19
21/(-1071)*17*18/4
-3/2
(-2684)/(-132) + -35 - -12
-8/3
What is the value of (-14)/133 - 356/228?
-5/3
What is the value of 141/513 - (-10)/(-190)?
2/9
What is ((-30)/70)/(((-462)/49)/11)?
1/2
What is the value of (924/(-126))/((-6)/9)?
11
What is (-8733)/994 - (-50)/(-70)?
-19/2
What is 25/25*(-1 - (-3 - 104/(-36)))?
-8/9
Evaluate 22/110 + (-8)/(480/(-508)).
26/3
Calculate (-8370)/(-2232) + (-7)/4.
2
What is (-3)/12 - 70/(-120)?
1/3
What is 1 + 15 + (491 - 538)?
-31
Evaluate 8 - 6/36*-6.
9
What is 7810/275 + -28 - (-1 + 174/135)?
1/9
Calculate (-57)/76*(-2 + 6/1).
-3
Calculate 4 + 78/(-15) - 10/200*16.
-2
What is ((-988)/(-475) + 14/(-175))*(-21)/(-2)?
21
1 + 294*(-12)/(-135) - (-174)/(-1305)
27
Evaluate 2/((-3 + (-5)/(-3))/((-962)/(-111))).
-13
What is 246/(-510) - ((-2)/6)/((-102)/36)?
-3/5
What is -15*((-10)/4)/(132/(-88))?
-25
What is 234/1026 + ((-65)/15 - -4)?
-2/19
(16 - (-49640)/(-3120)) + (-15)/(-18)
12/13
What is the value of ((-102)/21)/((-370)/(-111)*(-12)/(-140))?
-17
What is ((-26)/((-8008)/(-66)))/((-27)/(-12))?
-2/21
What is -2*(78/8)/(252/56)?
-13/3
What is the value of (0 - 0)*4*((-7)/8 - -1)?
0
What is 3*28/((-6664)/(-170))?
15/7
9 - ((15 - (-1888)/(-128)) + (-25)/(-4))
5/2
Calculate ((-496)/72 - -6)*3/(-10).
4/15
What is the value of (-12)/20 - (-3)/(660/52)?
-4/11
Calculate (133/57)/((-31)/465).
-35
319/385 + (-150)/105
-3/5
What is ((-2812)/(-18810) + 4/(-18))/(12/10)?
-2/33
What is (-15 - -6 - -12)/(236/(-56) + 4)?
-14
((-6)/(-4))/(11 - 664/32)
-2/13
Calculate 1025/(-60) + 20 - 3.
-1/12
Calculate 242028/(-670059) + (-6)/(-26).
-3/23
Calculate 17 - 2/18*12038/78.
-4/27
Calculate 80/60*336/320.
7/5
What is the value of (82/3 - -1)*(-954)/(-1590)?
17
What is 14 - -3 - (-32 + 49)?
0
Calculate -1 + (-85)/((-6375)/72).
-1/25
What is the value of ((-1)/(-3))/(69136/(-720) + 96)?
-15
Evaluate (-2 - 4 - (1 - 16/12))*3.
-17
Evaluate (-92)/(-253) - 318/(-33).
10
Evaluate 31/(-3) + (-128)/192.
-11
(-235)/(-225) + -12*(-16)/(-320)
4/9
What is the value of ((-162)/(-810))/((-2)/(-70))?
7
Calculate (188/38 - 5)*(-6 + 7).
-1/19
Calculate ((-25)/40)/((-676)/96 + 7).
15
What is the value of (133/(-57))/(0 + (-3)/9) - 21?
-14
Calculate 0 - -9 - 80/5.
-7
Calculate (255/(-40) - -6) + 904/2752.
-2/43
What is (-5)/2*(-432)/(-450)?
-12/5
Evaluate ((-7)/28)/(2/8) + 8 + 5.
12
What is the value of (-6 - (-19)/3)*9?
3
What is (39/24)/(273/2184)?
13
Calculate (-48)/520*-26*(-3)/(-3*8).
3/10
Evaluate (-424)/60 + -1 + (-1)/(-15).
-8
What is the value of (12 - (3 + 6))/(1 - 2)?
-3
Evaluate (388/1455)/((-3)/(-5)).
4/9
Evaluate (14 - 9) + ((-20)/(-4) - (-2 - -1)).
11
706/8825 + 498*(-2)/(-50)
20
What is the value of ((-3)/(-27))/(59/(-8083)) - -15?
-2/9
-2*55/30*-3
11
(-645)/301 + (-12)/14
-3
Calculate 6/8 + -9*925/1332.
-11/2
Calculate 1/((-2)/1 + (-8 - 348/(-36))).
-3
352/(-2310)*-30 + 1 + -5
4/7
Evaluate 15 - 10864/800 - (-2)/25.
3/2
Calculate 21/18*((-2456)/280 + 9).
4/15
((-4216)/(-7378))/(-3*(-2)/126)
12
What is ((-667)/(-116))/(3 + (-22)/8)?
23
Calculate 6/9*(-75)/(-50)*-7.
-7
Calculate (96/112)/((-71)/(-994)).
12
What is (-2 + 740/350)/((-32)/(-10) - 3)?
4/7
((-1 - 1) + (-133 - -21))*(-46)/276
19
What is the value of (4625/(-1850))/(1/((-156)/15))?
26
Calculate -2*(-36)/24 - (5 + -1 + 1).
-2
Evaluate 1/(5/70*119).
2/17
Calculate 6/(-1) + (-4108)/316.
-19
Evaluate (-192)/(-9696) + 9135/2828.
13/4
Calculate (218/140 - 1/(-2)) + 738/5166.
11/5
Calculate 10 + -1 + (-5)/4*408/(-170).
12
((-3)/12)/(91773/(-1836) - -50)
-17
(-304)/(-57)*75/50
8
-2*(-81)/24 - 21/224*8
6
What is the value of 33 - 3164/56 - (-2)/(-4)?
-24
What is the value of (-11 + 17 - (2 - -7))*(-4)/(-15)?
-4/5
What is 40/45*(-5)/(90/(-27))?
4/3
What is the value of ((-2668)/(-2093) - 1) + 3/(-7)?
-2/13
Evaluate (-4)/6*(-615)/8405.
2/41
Evaluate (-912)/(-640)*(-15)/(-81) - (-3)/(-8).
-1/9
What is (-3)/(-3) + (-1 + -5 + -1)/8?
1/8
Evaluate 12 + 24*((-65)/52)/1.
-18
Calculate -1*(-1)/5 + (-231240)/172200.
-8/7
What is the value of ((-13)/8)/(112/(-896))?
13
What is ((-90)/20)/((26550/(-20))/5)?
1/59
Evaluate (-4472)/1144 - (-96)/(-88).
-5
Evaluate (-1*13/((-1040)/(-32)))/((-2)/(-20)).
-4
36 + 2570/(-60) + (-9 - -1)/(-1)
7/6
4 - -1 - (-12)/(-8)*-4
11
What is the value of -11 - (8 - -52)/(-15)?
-7
693/(-126)*50/(-55)
5
Evaluate ((-5)/10)/(-23 - 23568/(-1024)).
-32
What is 25 - 444/(300/25)?
-12
(-38 + 33 - 19) + 38
14
-2*(-18)/(-252)*-49
7
(-49617)/(-13410) + 11/(-5)
3/2
Evaluate (-5 - (-5 - -1))*((-16)/(-18))/8.
-1/9
What is 14/(-581) + (-16716)/174300?
-3/25
(12 - 1) + (11 - 16)/(5/21)
-10
What is (-4)/19*(-852)/1136?
3/19
Evaluate 8073/(-1794)*4/(-9).
2
Evaluate (-26)/91*(-672)/544.
6/17
Calculate 1/9 + (-1535)/(-765) + (-1070)/9095.
2
Calculate (2160/(-3240))/((-76)/39 + 2).
-13
What is the value of -8 - ((-12240)/2070 - 2/23)?
-2
(-56)/765 + (-350)/7875
-2/17
Calculate ((5110/105)/73)/((-1)/(-24)).
16
60/4 + -16 - 4*(-72)/416
-4/13
Calculate 0 + (-2)/(-4) + 3210/300 + -10.
6/5
(5/(-180)*1)/((-110)/440)
1/9
What is (-14)/(-77) - 580/44 - 16?
-29
What is (-2)/3 - -10*(-27)/(-450)?
-1/15
What is the value of (-15 + 33 - 17)/((-1)/(-8))?
8
Evaluate (-2 - 12)/(-16 + 0 + 15).
14
-16*16/(-128) + 3/((-3)/4)
-2
What is -16*(3993/308 - 13)?
4/7
What is the value of -1*(-104)/(-24) + 188/(-12)?
-20
What is (1*(-7)/28)/(21/56)?
-2/3
(110/143)/(10/52)
4
5166/984*16/7
12
Calculate (-3 + (-10184)/(-3384) - 0)*(-9)/(-2).
2/47
Evaluate 1/(22/70) + 1*(-38)/209.
3
Evaluate (-2 - (-2 - 1)) + (-1045)/(-38) + -29.
-1/2
Evaluate ((-6)/28)/((-429)/12584)*(-7)/2.
-22
What is 32 + -1 + 0 + 3839/(-349)?
20
What is the value of (-39)/(-65) + ((-973)/(-245) - 5)?
-3/7
(-18)/(-20493)*-447 + 120/330
-2/69
(78/234)/((-35)/42)
-2/5
(-60)/(-360) + 394/30 - 13
3/10
Evaluate (-216021)/9425 - 4/50.
-23
What is ((-6)/(-9))/((-11)/3) - (-423)/(-396)?
-5/4
What is the value of 0 + (-150)/25 + (-78)/(-15)?
-4/5
((-2)/6)/(-11*(-9)/5346)
-18
Evaluate 2580/387*(-6)/(-5).
8
86 + -50 - (10/1 + -7)
33
What is the value of (38/(190/(-10)))/((-4)/18)?
9
Evaluate 1/((-6)/(-88)) - ((-350)/(-30))/(-35).
15
What is 444/12 + (-16 - -17)*-1?
36
What | {
"pile_set_name": "DM Mathematics"
} |
Which is the nearest to -1? (a) k (b) y (c) l
a
Let u be 5*(1 - 34/30). Let t = -881 - -883. Which is the nearest to u? (a) -0.4 (b) 1 (c) t
a
Let h(m) = 233*m + 2080. Let v be h(-9). What is the closest to -1 in v, -0.5, 13, 0.4?
-0.5
Let j = -0.337 + 0.067. Let z = 0.41 + j. Let p = z - 0.14. Which is the closest to 2/3? (a) -0.1 (b) -5 (c) p
c
Let f = -39.2 + 39. Let a = 11 + -11.2. Let j be -2*(-1 - (-4)/(-30)*-5). What is the nearest to a in 1/5, j, f?
f
Let f = -0.2294 + 0.0294. Let n = -10 - -12. Let q = 1 + -5/4. What is the nearest to n in q, f, -2?
f
Let d be ((-2)/(-12))/(0 + -1). Let v = 15725 + -15727. Which is the closest to -2? (a) 25 (b) d (c) v
c
Let j = 59/480 - -1/96. Let k = -3630 - -3631. What is the nearest to 0.05 in j, k, -5?
j
Let w = 1.16319 + -0.86319. Let o = 5/2 + -1. What is the closest to w in o, 2/13, -0.4, -5?
2/13
Let b = -200 + 222. What is the nearest to 2 in -2, 2/11, -0.1, b?
2/11
Let u be (2 - 1)*(-222 + 218). Let s = -1 - -1.4. What is the nearest to 1/2 in 1, u, s?
s
Let i = 598 + -11360/19. Let k = -11 - -9.9. Let s = 1 + k. Which is the closest to 0? (a) s (b) -0.2 (c) i
a
Let j = -137.22 - -137.22. What is the nearest to j in -4, 0.3, -1/5, -0.1?
-0.1
Let g = -555 + 573. Let i = 8 - 8. Which is the closest to i? (a) 3 (b) g (c) 1/2
c
Let i be 13/26*(-3 + 100 + -3). Suppose i - 32 = 5*z, -z + 3 = 2*g. What is the closest to -2/5 in 2, 1, g?
g
Let i = -63.35 - -0.35. Let y = i + 63. Let l = 0.114 + 5.886. Which is the nearest to y? (a) 1/4 (b) l (c) -1/3
a
Suppose 140 = 3*y - v, -2*y + 33 = -5*v - 69. Suppose 40 - y = -2*k. What is the nearest to k in 1/2, -13, -3?
1/2
Let f = 6982 + -7376. What is the closest to f in -0.4, 3, -0.1?
-0.4
Let i = -1.471 + -0.829. Which is the closest to i? (a) -4 (b) -0.5 (c) 4
a
Let t = 506 + -41. Let d = t - 465.5. What is the closest to 1/5 in 0.5, 4, 1, d?
0.5
Let n = 2.5 - 2.9. Let p = -27 - -48. Suppose 4*t + p = -t - 4*k, 2*k + 3 = 5*t. Which is the nearest to 0.1? (a) -0.5 (b) n (c) t
b
Let h = 167 + 29. Let x = h + -195.8. Let i be (-2)/(-6)*(3 + -2). Which is the closest to -1? (a) 2 (b) x (c) i
b
Let k = 3.597 - 3.577. Which is the nearest to -8? (a) 3 (b) -1/6 (c) k
b
Suppose 12*o = 10*o + 12. Let p be -4 + 10 + (-21)/o. What is the nearest to -2/7 in p, 5, -24/5?
p
Let y = 149 + -154. Let x = 164 - 117. Let h = -47.1 + x. Which is the closest to h? (a) 2/5 (b) 0.3 (c) y
b
Let v = -8 + 11. Suppose 0 = 12*p - 17*p + 2*u - 145, u + 49 = -2*p. What is the nearest to -0.2 in v, p, -1/5?
-1/5
Let b(n) = -10*n**2 + 109*n + 271. Let w be b(13). What is the nearest to -5 in w, 8, -0.5, -3?
-3
Let s = 1.022 - -10.978. What is the nearest to -4 in -2/3, s, -0.4?
-2/3
Let v = -0.5469 - -0.0469. Let d = 20 - 20. What is the closest to d in -14/3, v, -1?
v
Suppose -3*t = 2*z - 10, -17*t + 5*z = -12*t - 25. Which is the closest to 0.1? (a) 5 (b) 759 (c) t
c
Let h = -1386 - -1390. What is the closest to 7/10 in 1/2, h, -2, -0.1?
1/2
Let h = 0.482 - -0.518. Which is the closest to h? (a) 4 (b) -4 (c) 3 (d) -0.3
d
Let i = 0.3 + -0.4. Let s = 1 - 1. Let x = 3465 - 3464.5. Which is the closest to s? (a) 0.4 (b) i (c) x
b
Let p = -1048.5 - -1048. Which is the closest to -0.3? (a) 1/78 (b) p (c) 2/9 (d) 0.2
b
Let d = -0.6 - -0.7. Let n = d - 0.6. Let t(j) = j**3 - 7*j**2 + 8*j + 17. Let x be t(4). Which is the closest to 1/3? (a) 4 (b) x (c) n
b
Let w = 52/5 - 54/5. Suppose 2*i = m - 0*m - 1, -m - 11 = i. What is the closest to 2 in -5, w, m?
w
Let i = -7323 + 7324. Let v = -44 + 265/6. What is the nearest to i in 2/11, 8, v?
2/11
Let y = -0.3 + -0.2. Let m = 5295.2 - 5296.9. Which is the nearest to 1/4? (a) -1/4 (b) y (c) m
a
Let w = -380 - -379.8. Suppose 27 = -6*r + 2*r - 3*t, -5*t + 19 = -4*r. What is the nearest to r in 4, 3/5, w?
w
Let n = 73.45 + -137.45. Which is the closest to 1/3? (a) 1 (b) 4 (c) n (d) -0.6
a
Let w = 4032.2 + -4032. What is the nearest to 1/4 in 2, -3/7, w, 9/7?
w
Let n = -9174/5 + 1835. Which is the nearest to n? (a) 0.016 (b) 0 (c) -5
a
Let w be ((-12)/(-4))/(15/2). Let s = -52 + 155. Let k = s - 99. What is the closest to k in w, 1, 1/4?
1
Let v be (-1 + -1)/(4/(-26)). Let h(u) = u**3 - 13*u**2 + 6. Let m be h(v). Let r be m/3 - (-7)/(-7). What is the nearest to r in 0.5, -9, -0.2?
0.5
Let a(x) = -6*x + 39. Let g be a(7). Let k = -141 - -143. Let h be (k - (-192)/(-99))/(1/3). What is the closest to -2 in h, g, -2/13?
g
Let k = -0.1 - 0.1. Let h(j) = j**2 - 7*j - 13. Let p be h(7). Let n = 59/4 + -175/12. Which is the nearest to 0? (a) p (b) n (c) k
b
Let d = 1485 + -1485.2. Let j = 0.46 - 0.76. What is the closest to j in -0.08, 5, d, -3?
d
Let k(s) = -9*s + 50. Let z be k(6). Let p be 2/(-3 - -1 - (-40)/30). What is the nearest to -1/3 in 0.5, z, 4, p?
0.5
Let x = 17.207 + -17.107. Let w be 1 + (-1)/((-10)/(-6)). What is the nearest to -1/3 in -0.04, w, -2, x?
-0.04
Let f = 4681 + -4679. Which is the closest to 1.5? (a) 3/7 (b) -0.05 (c) f
c
Let v = 599934/23 - 26084. What is the closest to 1 in -3, 0, v, 1/45?
v
Let c = -58339618/103191 - -33346/59. Let o = c + -2/159. Let g = 28 + -29. What is the nearest to o in g, -0.3, -2?
-0.3
Let v be -1 + ((-40)/(-10))/4. Let o be (-6 - v) + (-5 - -11). Which is the nearest to -5/3? (a) 2/9 (b) o (c) 0.5
b
Let m = -166.9 - -163.9. Which is the nearest to 6? (a) 3/2 (b) 5/4 (c) m (d) 2
d
Let y = 29.11 - 29.21. Let p = 0.3 + -0.1. Let l = 0.6 - -1.4. What is the nearest to 0 in p, l, y?
y
Let p = 24 - 29. Let i = -3/124 - 203/1860. Which is the nearest to -2? (a) i (b) 5 (c) p
a
Let k be (-2)/5*(-2)/(-4). Let w = -49.3 - -39. Let d = -10 - w. What is the nearest to 1 in -1/4, d, k?
d
Let p = 431 + -431. What is the nearest to p in 5/2, -0.5, -0.4?
-0.4
Let k = 10 + -10. Let h = -11.1 - 21.3. Let d = -36.4 - h. What is the nearest to 0.04 in k, -3, d?
k
Let m = -388 + -21. Let i = -3275/8 - m. Let c = 0.3 + -0.2. What is the nearest to -4 in c, i, 3/2?
i
Let m be ((-4)/11)/((-674)/3707). Which is the closest to m? (a) 10 (b) 0.3 (c) 3/4 (d) -3
c
Let a = -0.5 + 0.5. Let m be (14/(-6))/(6965/(-1194)). What is the closest to a in -0.2, -2, 0, m?
0
Let j = 3087 - 3087. What is the nearest to 2 in 0.3, j, 1.5, 0.5?
1.5
Let b be ((-9)/(-12))/((1830/16)/61). Let g = 2 - 1.9. What is the closest to g in b, 1/16, -5, 2/3?
1/16
Let z = -1.2 + 4.2. Let a = 21.78 - 21.78. What is the closest to 0.2 in a, z, -0.1?
a
Let r = -43.7099 + -0.0461. Let j = -0.244 + r. Which is the nearest to -2/3? (a) j (b) -1/2 (c) 0
b
Let m be 30/(-8) + (-7)/28. Let u be (16/m)/(-4) - 36/45. What is the nearest to -10 in -2/7, u, -3?
-3
Suppose 5 = 5*n + 20. Let a = 26 + -51/2. Let o = -132042 - -132042. What is the nearest to o in a, 0, n?
0
Suppose d = k + 772, -5*k - 1535 = 10*d - 12*d. Let h = -781 + d. Let r = 1 - -1. What is the nearest to r in -0.4, -1/9, h?
-1/9
Let d = -29107 + 29105.7. Which is the nearest to 12? (a) -0.4 (b) -2 (c) d
a
Let v = -180 + 180.05. Let h = v + -0.55. What is the closest to -2 in h, 3/7, 0.5?
h
Suppose 0 = 127*t + 217 + 18 + 19. Let p = 8 - 11. Which is the nearest to 0.15? (a) 0.2 (b) p (c) -1/2 (d) t
a
Let o = -3865/2 - -1932. What is the nearest to -1/3 in o, -4, 1/8, 3?
o
Let t = -2940 - -2291.4. Let c = t - -649. What is the closest to -0.2 in c, -0.1, 0.5, -1/5?
-1/5
Let r be 30/4*54/135. Let z = 62 - 61. What is the closest to 1 in -2, r, z?
z
Let l = -716/49 + 1481/98. What is the closest to -0.1 in 5, -0.2, l, -4/35?
-4/35
Let j(k) = -k**2 + 38*k - 363. Let o be j(18). Which is the closest to -5? (a) 116 (b) -1/2 (c) o (d) -0.1
c
Let w be ((-12)/(-153))/((-10)/15). Suppose -8 - 9 = 4*g - 3*f, g - 2*f - 2 = 0. Let u be 356/52 - g/52. What is the closest to 0 in u, 0, w?
0
Suppose -320*g + 56 = -313*g. Let x be ((-49)/(-42))/7 + (-4)/g. Let r = 0.8 + 0.2. Which is the closest to 1? (a) x (b) r (c) 9
b
Let s = 1419 + -1418.7. Suppose 2*o + 18 = -4*o. What is the nearest to 0 in s, o, 4?
s
Let g be (3 + -22 - -21) + (-1)/(-4)*-3. Which is the nearest to 1? (a) -0.4 (b) -1 (c) g (d) -61
c
Let f = -7.01 + 7. Let w = f - 2.99. Let j = -1.127 - -1.027. Which is the nearest to 2/3? (a) w (b) j | {
"pile_set_name": "DM Mathematics"
} |
2*t - 4. Let b(o) = 6*i(o) - 5*j(o). Give 9*b(x) + 4*y(x).
-x**3 - 2*x**2
Let p(z) = 11*z**3 - 17*z**2 - 2*z. Let k(o) = -5*o**3 + 8*o**2 + o. Give 9*k(l) + 4*p(l).
-l**3 + 4*l**2 + l
Let z(b) = b**2 - 16*b + 20. Let i be z(15). Let g(j) = -6*j**2 + 2*j - 14. Let d(y) = -4*y**2 + y - 9. What is i*g(r) - 8*d(r)?
2*r**2 + 2*r + 2
Let j(r) = 4*r**2 + 3*r + 13. Let z(k) = -11*k**2 + 5*k + 4. Let m(b) = -4*b**2 + 2*b + 2. Let u(g) = -8*m(g) + 3*z(g). Calculate -2*j(w) - 7*u(w).
-w**2 + w + 2
Let l(r) = -6*r**2 - 4*r + 1. Let i(g) = 0*g + 5*g + 5*g**2 + 2*g**2 - 1. Let u(w) = -2*w + 0*w + 1 - w. Let z be u(-1). Determine z*i(x) + 5*l(x).
-2*x**2 + 1
Let m(o) be the second derivative of -2*o**2 - 1/3*o**3 + 0 + o. Let k(w) = -2*w - 3. Give 3*k(g) - 2*m(g).
-2*g - 1
Let y(w) = -7*w**2 + 4*w - 8. Let q(l) = -6*l**2 + 3*l - 7. Determine -4*q(b) + 3*y(b).
3*b**2 + 4
Let v(w) = -2*w - 5. Let s(b) = 3*b + 6. Suppose 4*u - 4 - 16 = 0. Suppose u = -3*g + 8*g. Suppose 3 = -x - g. Give x*s(l) - 5*v(l).
-2*l + 1
Let s(k) = 4*k**2 + 3*k - 3. Let c(p) = 4*p**2 + 2*p - 4. Calculate -3*c(y) + 4*s(y).
4*y**2 + 6*y
Let a(y) = -8*y**3 + 2*y**2 - 8*y + 6. Let w(f) = 17*f**3 - 4*f**2 + 17*f - 13. Determine -13*a(g) - 6*w(g).
2*g**3 - 2*g**2 + 2*g
Let p(s) = s**2 - 1. Let c(m) = 0*m**2 + 6 - 6*m**2 - m**2. Let n = -40 - -41. Calculate n*c(h) + 6*p(h).
-h**2
Let l(s) = -2*s + 2. Let g(y) = -2*y - 1 - 2 + 5*y. Let v be (-2)/4 + (-49)/(-2). Suppose -4*u - 2*a = v + 12, a + 8 = -u. Determine u*l(t) - 6*g(t).
2*t - 2
Let v(i) = i**2 - i - 5. Let r(u) = -u. Let a(p) = 2*r(p) + v(p). Let h(q) = -3*q**2 + 4*q + 0*q**2 + 3*q + 11. What is -7*a(o) - 3*h(o)?
2*o**2 + 2
Suppose 5*n - 4*g - 3 = 0, -2*n - 2*n = g - 15. Let z(t) = 5*t - 2*t + 2*t + 4*t**2 - n*t**2. Let a(d) = -d**2 - 4*d. What is 5*a(o) + 4*z(o)?
-o**2
Let h(z) = -11*z - 22. Let b(o) = -5*o - 11. Determine 13*b(x) - 6*h(x).
x - 11
Let l(c) = c + 3. Suppose 2*b + 14 = -a + 2*a, 3*b = 2*a - 23. Let s(r) = -1. Give b*s(q) - 2*l(q).
-2*q - 1
Let s(h) = 1. Let j(y) = -y**2 - 47. Calculate -j(o) - 2*s(o).
o**2 + 45
Let a(v) = 7*v - 2*v - v - 5. Let r(l) = -2*l + 2. Let y(s) = s**3 + 10*s**2 + 9*s - 2. Let x be y(-9). Determine x*a(z) - 5*r(z).
2*z
Let y(k) = 4*k. Let p(j) = -3*j + 4. Let x(s) = 7*s - 10. Let g(n) = -10*p(n) - 4*x(n). What is -10*g(t) + 4*y(t)?
-4*t
Let h(v) = 5*v**2 + 6*v - 1. Let k = -73 + 77. Let n(q) = 9*q**2 + 11*q - 2. Determine k*n(r) - 7*h(r).
r**2 + 2*r - 1
Let i(g) = 5*g**2 + 4*g. Let q = -91 - -87. Let t(p) = 14*p**2 + 11*p. Calculate q*t(s) + 11*i(s).
-s**2
Let i(v) = v**2 - 1. Let z(k) = 18*k - 2. Determine -3*i(l) + z(l).
-3*l**2 + 18*l + 1
Let u(q) = 3 - 22*q**3 - 2*q + 46*q**3 + 3*q**2 - 21*q**3. Let k(a) = -3*a**3 - 2*a**2 + a - 2. Determine -3*k(m) - 2*u(m).
3*m**3 + m
Let y(f) = 5*f**3 + 6. Let r be 5/7 - 12/(-42). Let o(x) = -5*x**2 + 5*x**2 + r + x**3. Suppose 0 = 2*i - i + 1. What is i*y(n) + 6*o(n)?
n**3
Let o(i) = 19*i**3 + 13*i + 13. Let x(b) = 3*b**3 + 2*b + 2. Suppose 6*c = -15 - 21. What is c*o(q) + 39*x(q)?
3*q**3
Let m(g) = -20*g**2 + 8*g + 23. Let d(w) = 7*w**2 - 3*w - 8. Calculate 17*d(s) + 6*m(s).
-s**2 - 3*s + 2
Suppose -4*y = -25 + 5. Let a(k) be the first derivative of 3*k**4/2 + k**2 - 4*k - 11. Let z(h) = -7*h**3 - 3*h + 5. Calculate y*a(r) + 4*z(r).
2*r**3 - 2*r
Suppose -598 = -l - 597. Let i(b) = b. Let y(j) = 3*j**3 + 2 - 4*j - 2. What is l*y(p) + 4*i(p)?
3*p**3
Let p(t) = 8*t**2 - 9*t + 17. Let r(a) = 2*a**2 - 2*a + 4. Give 2*p(l) - 9*r(l).
-2*l**2 - 2
Let g(w) = -2*w + 9. Let k be ((-1)/3 - 1)*3. Let b(m) = -11*m + 20. Let r = -2 - -10. Let s(h) = -4*h + 7. Let l(n) = r*s(n) - 3*b(n). Give k*g(u) - 9*l(u).
-u
Let j(d) = -5*d**2 + 3*d. Let l(t) = 9*t**2 - 5*t. Calculate 5*j(p) + 3*l(p).
2*p**2
Let j(y) = y - 1. Let u = -31 + 34. Let c(x) = 4*x - 2. Give u*j(h) - c(h).
-h - 1
Let y = -16 - -34. Suppose 0 = -3*f + 6*f + y. Let r(g) = 4*g**2 - 13*g - 4. Let t(m) = 2*m**2 - 6*m - 2. Give f*r(b) + 13*t(b).
2*b**2 - 2
Let v(l) = 5*l**3 + 3*l + 5. Let r(o) be the second derivative of 0*o**4 + 0 + 1/2*o**3 + o + 3*o**2 + 3/10*o**5. Give 4*r(t) - 5*v(t).
-t**3 - 3*t - 1
Let i(l) = -l. Let s = 38 + -40. Let q(w) = -w**2 + w + 1. What is s*i(n) - 2*q(n)?
2*n**2 - 2
Let r(g) = -g**3 - g**2 + g - 1. Let h(c) = 1. Determine -h(q) - r(q).
q**3 + q**2 - q
Let t(c) = 5*c**2 + c - 2. Let a be t(-2). Let d = -17 + a. Let y(p) = 6*p**3 + 5*p**2 + 5. Let r(b) = -b**3 - b**2 - 1. What is d*y(o) - 5*r(o)?
-o**3
Let x(j) = 2*j**2 - 7*j + 7. Let h be x(4). Let b(p) = -6*p**2 - 4. Let l(k) = -17*k**2 - 11. What is h*b(z) - 4*l(z)?
2*z**2
Let s(q) = 0 - 1 + 3. Let v(u) = u + 11. Let w be (4/(-3))/2*-3. Let f = -14 + 3. Calculate f*s(m) + w*v(m).
2*m
Let i(j) = 22*j + 1. Let h(k) = -7*k. Calculate 7*h(g) + 2*i(g).
-5*g + 2
Let f(o) = -10*o**3 - 5*o**2 + 3*o + 2. Let a(g) = 31*g**3 + 14*g**2 - 8*g - 6. Determine 3*a(r) + 8*f(r).
13*r**3 + 2*r**2 - 2
Suppose -3*a - 4*f - 19 = -9*f, -4*a + f = -3. Let z(x) = x + 2. Let j(o) be the second derivative of -o**2/2 - o. Calculate a*j(v) + z(v).
v
Let p be ((-4)/(-6))/((-12)/18). Let z(c) = c**2 - c - 1. Let q(v) = 9*v**2 - 6*v - 6. Calculate p*q(a) + 6*z(a).
-3*a**2
Let j(f) = -4*f**3 + 2*f**2 + 9*f - 5. Let p(c) = -2*c**3 - 5 + 3*c + c**2 + c + 3. Give 2*j(w) - 5*p(w).
2*w**3 - w**2 - 2*w
Let p(c) = -3. Let x(f) = -f - 2. Let g(v) = 2*p(v) - 3*x(v). Let n(t) = -t**2 - t. Determine -g(m) - 3*n(m).
3*m**2
Let n(p) = p**3 - p - 1. Suppose 1 + 15 = -4*r. Let w(l) = -l**3 + 4*l + 4. Calculate r*n(c) - w(c).
-3*c**3
Let p(f) = -9*f - 4 + 4 + 12*f. Let j(r) = -3*r. Calculate 4*j(m) + 3*p(m).
-3*m
Let c(y) = 7*y**2 + 7*y + 3. Let d(v) = 84*v**2 + 84*v + 35. Let h(k) = -35*c(k) + 3*d(k). Let f(s) = 10*s**2 + 10*s. What is 5*f(w) - 7*h(w)?
w**2 + w
Let k(z) = 4*z + 1. Let y(q) = -4 + 0 + 3 - 5 - 11*q. Let g(i) = -22*i - 11. Let j(u) = 4*g(u) - 7*y(u). Give -3*j(b) - 8*k(b).
b - 2
Let w(d) = 4 - 9*d**3 - 7*d + d**2 + 3*d + 3*d**2 + 8*d. Let s(t) = -17*t**3 + 7*t**2 + 7*t + 7. Calculate 4*s(n) - 7*w(n).
-5*n**3
Let i(g) = -8*g**2 + 5*g - 5. Let h(t) = 4*t**2 - 3*t + 3. Determine -10*h(z) - 6*i(z).
8*z**2
Let n(h) = -5*h + 3. Let c(i) = 4*i - 2. Determine 4*c(y) + 3*n(y).
y + 1
Let u(y) = 8*y**3 + 3*y**2. Let c(d) = 15*d**3 + 7*d**2. What is -6*c(w) + 14*u(w)?
22*w**3
Let p(v) = -v**2 + v - 1. Let w(l) = l**2 + 2*l - 12. Determine 2*p(j) - w(j).
-3*j**2 + 10
Let s(b) = 5*b + 1. Let v(r) = -3*r - 1. Determine 4*s(p) + 7*v(p).
-p - 3
Let g(m) = 3*m - 11. Let x(z) = 2*z - 12. Give -3*g(p) + 2*x(p).
-5*p + 9
Let t(b) = 5*b**3 + 11*b**2 - 11*b - 11. Let r(l) = -4*l**3 - 4*l**2 + 2*l + 4. Let k(a) = a**3 + a. Let w(h) = 2*k(h) + r(h). Give 4*t(v) + 11*w(v).
-2*v**3
Let p(w) = -7*w**2. Let t(r) = 6*r**2. Give -2*p(a) - 3*t(a).
-4*a**2
Let y(c) = c + 1. Let z(m) = 4 + m + m**2 + 0*m**2 - 3*m**2. Suppose 2*d - 6 = 6. Suppose 0 = 3*h + 4*a + d, -3*h = 2*a + a + 6. Give h*y(n) + z(n).
-2*n**2 - n + 2
Let m(f) = 6*f**2 + 7*f - 5. Let j(q) = 13*q**2 + 14*q - 11. What is -4*j(l) + 9*m(l)?
2*l**2 + 7*l - 1
Let r(n) = 2*n**2 - 3*n + 1. Let m(f) = f**2 - f + 1. Suppose -3*p = -5*l - 0*p + 5, 0 = l + 3*p - 1. Give l*r(c) - m(c).
c**2 - 2*c
Let p(n) = 9*n - 4. Let v(q) = 260*q - 117. What is -117*p(b) + 4*v(b)?
-13*b
Let v(u) = 7*u**2 - 4*u + 2. Let j(o) = -6*o**2 + 3*o - 2. Suppose -2*a + 0*a + 4 = 0, -3*a - 54 = -4*y. Suppose 0 - y = -3*r. Calculate r*j(i) + 4*v(i).
-2*i**2 - i - 2
Let b(w) be the first derivative of -21*w**2/2 - 27*w - 9. Let l(y) = -3*y - 4. Suppose -3*n + 11 = -4*g + 2*n, n = 5*g + 19. Calculate g*b(o) + 27*l(o).
3*o
Let f be (-288)/45 + 2/5. Let q(u) = u**2 + 6*u - 6. Let d(y) = -y + 1. Let g(b) = f*d(b) - q(b). Let i(m) = -5*m**2 + 1. What is -4*g(x) + i(x)?
-x**2 + 1
Let q(u) = u**2. Let l be 27/63 + 20/(-14). Let n(r) = -2*r**2 + 2*r. Calculate l*n(j) - 3*q(j).
-j**2 - 2*j
Let f(h) be the first derivative of -5*h**3/6 - 11*h**2/2 + 3*h + 2. Let x(k) be the first derivative of f(k). Let n(m) = -3*m - 6. Give 7*n(i) - 4*x(i).
-i + 2
Let j(w) = -w - 3. Let n(i) = 4*i. Let r be n(1). Let f = 6 - r. Suppose -3*x - 16 = -0*h - 2*h, -f*x + 16 = 4*h. Let b(s) = 2*s + 7. Calculate h*j(l) + 2*b(l).
-l - 1
Let c(j) = 1. Let x(t) = -2*t**3 + t**2 - 9*t - 6. What is | {
"pile_set_name": "DM Mathematics"
} |
(95 - 95 - 22*z)*(-3*z**3 + 4*z**2 + 4*z**3 - 3*z**2 - 3) in the form c*z**3 + y*z**2 + f*z + u*z**4 + d and give f.
66
Express (2 + 0 - 4)*(-16 + 12 + 9)*(-22*q + 13*q + 2*q) as a*q + d and give a.
70
Rearrange (-648 + 656 - 14*m - m)*(-7 - 12*m - 11*m + 21*m) to the form d*m + z*m**2 + u and give u.
-56
Rearrange 41*z + 3*z**2 + 2 - 14*z - 17*z - 17*z + z**2 to s*z**2 + h + i*z and give h.
2
Rearrange -172*n - 438*n - 154*n + 101*n - 443*n + (0 - 5 + 3)*(-5*n + n + 3*n) to the form o*n + c and give o.
-1104
Rearrange -4 - 85*b**3 + 266*b**3 - 68*b**3 to the form d + c*b + s*b**3 + v*b**2 and give d.
-4
Express (-5*k - 5*k + 4*k)*(-27 - 26 + 0) + (-2 + 3 + 0)*(k + k - k) in the form b + t*k and give t.
319
Rearrange k - 89*k**3 - 111*k**3 + k**2 + 157*k**3 + k to q*k**2 + v*k**3 + z*k + t and give z.
2
Express k**4 + 6*k - 2392 - 12*k + 9*k**2 + 2393 in the form s*k**2 + p*k**4 + l*k + c + w*k**3 and give c.
1
Express -s**3 - 13*s**4 - s**2 - 4*s**2 + 9*s**2 - 7*s**3 as w*s + f*s**2 + d + x*s**3 + y*s**4 and give y.
-13
Express (-2*v - 2*v - v)*(-2*v + 8 - 7 + 5*v) - v**2 - 2*v**2 + 0*v**2 as k*v + o*v**2 + i and give o.
-18
Rearrange (-4*n + 2*n + 3*n)*(n**2 + n**2 + 0*n**2) + (-5 + 0 + 5*n + 6)*(5*n**2 + 5*n**2 - n**2) to the form y + j*n**2 + w*n + q*n**3 and give q.
47
Express -1053*b**2 + 565*b**2 + 553*b**2 in the form j + s*b + o*b**2 and give o.
65
Express (4 + u - 4)*(-3 - 1 + 2) + (41*u - u + 0*u + u + 3*u - 6*u + (-4 + 2 + 0)*(u + u + 0*u) + 1 - u - 1)*(-1 + 2 + 3) as n*u + z and give n.
130
Express (4*z - 3*z - 4*z)*(-1 - 4 + 3) - 21*z + 12*z - 52*z + (1 - 2 + 3)*(-2*z + z - z) - 4 + 2*z + 4 - z + z - 4*z as a + k*z and give k.
-61
Rearrange g**2 + 4*g + 3*g**2 - g**4 - 127*g**3 - 2*g**4 + 245*g**3 - 129*g**3 to the form l*g**4 + w + d*g + u*g**2 + s*g**3 and give s.
-11
Rearrange -538*o**2 - 1133*o**2 + 334*o**2 to the form g*o**2 + k*o + i and give g.
-1337
Rearrange -291*z - 241*z + 210*z to the form o + d*z and give d.
-322
Express -5*t**2 - 168*t + 330*t - t**4 - 3*t**2 - 168*t as l*t**2 + b*t + s*t**3 + z + y*t**4 and give y.
-1
Express 145*m - 81*m + 66*m as k + h*m and give h.
130
Express (2*j - 2*j + j)*(1 - 4 + 2)*(-4*j + 4*j + 2*j**2) - 164*j + 164*j + 26*j**3 in the form s + v*j**3 + q*j**2 + c*j and give v.
24
Express 39*l + 10*l + 4*l in the form a + v*l and give v.
53
Express -5 + 3 + 56*d**2 + 4 - 1 in the form h + i*d**2 + p*d and give i.
56
Rearrange 10 + 2*j**3 + 2*j - j**3 + 5553*j**2 - 5551*j**2 to the form a + m*j**3 + u*j**2 + b*j and give m.
1
Express (-136*j - 86 + 86)*(46*j - 6 - 48*j - 1) as z*j**2 + g + a*j and give a.
952
Express 104*b**2 - 32*b**4 - 104*b**2 + b - b - b**4 + (2*b**3 + 4 - 4)*(2 - 6*b - 2) in the form j*b + y*b**2 + m*b**3 + h + u*b**4 and give u.
-45
Express (30 - 30 - 18*l)*(-40 + l - l + l)*(-1 + 2 + 5) in the form d*l + j + f*l**2 and give j.
0
Express -49 + 922*k - 922*k - k**2 in the form o*k**2 + b*k + r and give r.
-49
Express (1 + 0 - 2)*(-j**3 - 3*j**3 + 8*j**3)*(2 + 1 + 0 + 2 - 2 + 3 + (-1 - 1 + 0)*(-3 + 1 + 3)) as y*j**3 + f*j**2 + b*j + d and give y.
-16
Express (-81 + o**2 - 91 + 108)*(9*o + 2*o + 5 - 3) as j*o**2 + h*o + v*o**3 + w and give v.
11
Express -3*z**4 + 532*z**3 - 6 - z**2 - 267*z**3 - 264*z**3 in the form l + y*z + i*z**4 + v*z**3 + w*z**2 and give v.
1
Express -63*k**2 + 18*k**2 + 17*k**2 + 2*k + 0*k + 17*k**2 as h*k**2 + r + x*k and give x.
2
Rearrange -24 + 1 + 6*j - 17*j + 10*j - 131 to the form g*j + l and give g.
-1
Rearrange 67*w + 614 + 620 - 1234 to h + p*w and give p.
67
Rearrange 32*z + 2 + 7*z + 2*z - 10*z + 53*z to u*z + j and give j.
2
Express -48*q**2 - 42*q + 20*q**2 + 26*q**2 in the form x*q**2 + s*q + m and give s.
-42
Express -21*d**2 + 2 + 38*d**2 + 0 - 15*d**2 + 2*d in the form t*d**2 + y*d + n and give y.
2
Express -2*p + 2*p + p + (755 + 11 - 46)*(-p - 5*p + 4*p) as w + d*p and give d.
-1439
Rearrange -14*g**3 + 20*g**3 - 90*g + g**2 + 7*g**4 + 92*g to t*g + h*g**3 + a*g**4 + z + d*g**2 and give h.
6
Rearrange (5*k**2 - 5*k**2 - k**4)*(15 - 2 - 7 + (1 + 3 - 2)*(3 + 4 - 5) + 2 - 1 + 3)*(-2 + 4 - 6) to the form y + i*k**4 + r*k**3 + w*k + g*k**2 and give i.
56
Rearrange -2*d**2 + 0*d**2 + 5*d**2 + 1120*d - 1120*d - 711*d**2 + (-d - 4 + 4)*(-2*d - 2 + 2) to y + w*d**2 + o*d and give w.
-706
Express 23 + 20 - 3*x**3 + x**3 + 2*x**2 as h*x + f*x**3 + z + p*x**2 and give z.
43
Rearrange (f + 1 - 1 + (1 + 2 - 4)*(3*f - 2*f - 2*f))*(-198*f + 220*f - 186*f) to k*f + c + j*f**2 and give j.
-328
Express 2*s - 6*s**2 + 3*s**2 + s**2 + 5*s**2 + 12*s**3 + 5*s**3 in the form v*s**2 + l*s**3 + w*s + z and give w.
2
Express (0*p + p - 2*p)*(0 - 2*p + 0 + (2 - 2 - 5)*(-7*p + p + 3*p)) in the form x*p**2 + u + j*p and give x.
-13
Express -2 + 5*p**2 + 2 + (-3*p**2 + 0*p**2 + 4*p**2)*(0 - 2 + 12) as r + n*p + y*p**2 and give y.
15
Rearrange (-f - 2*f + f)*((4 + 2 - 7)*(0 + 1 - 2) + 11 + 11 + 5)*(15 + 1 + 3) to a + b*f and give b.
-1064
Rearrange (2*c**2 - c**2 - 3*c**2)*(-2*c + 3*c - 2*c)*(838*c - 78*c - 365*c) to the form n*c**2 + d + r*c**3 + p*c + i*c**4 and give i.
790
Express (r + r - 6*r)*(4055 - 4055 - 102*r) as x*r**2 + d + z*r and give x.
408
Rearrange 5*o**2 - 12*o**2 + 13*o - o**3 + 5*o**2 - o**2 to u*o**3 + c*o**2 + h + v*o and give v.
13
Express 19*o**2 - 206*o**2 + 5 + 897*o - 897*o in the form k + x*o + z*o**2 and give z.
-187
Rearrange 503*n - 1216*n - 777*n - 532*n + 184*n to k*n + f and give k.
-1838
Rearrange 5 + 2*j - 113 + 8 to c*j + u and give u.
-100
Rearrange -1 + 6 + 0 - 7136*s + 7152*s - 4 to the form p + a*s and give a.
16
Express -2*l**2 + 1 + l - l**2 - l - 10*l + 32*l in the form f*l**2 + y*l + z and give z.
1
Express (-2*o + 3*o + 0*o + (2 - 8 + 0)*(-3*o + 2*o + 3*o))*(-24*o + 3*o**2 + 24*o) in the form t*o + d*o**3 + y + m*o**2 and give d.
-33
Express -2 - 4*v**2 + 4*v**4 - 36243*v - 2*v**3 + 36243*v in the form p*v + d + n*v**4 + k*v**2 + y*v**3 and give k.
-4
Rearrange 356*s + 9*s + 229*s to the form q + a*s and give a.
594
Rearrange -2*r**4 - r**2 - 3 - 2*r**3 - 1 + 0*r**2 + 6 + 6*r to the form h*r**2 + q*r**4 + a*r + j*r**3 + t and give q.
-2
Rearrange (4 + 3 - 1)*(16*v**2 + 10*v**2 + 33*v**2) to c*v**2 + g + r*v and give c.
354
Rearrange 2*u**2 - 723 - 2*u**3 + u**4 - 5*u**4 + u**3 + u + 727 to the form r + o*u**3 + b*u + p*u**2 + y*u**4 and give y.
-4
Express 3 + 10 + 20 - 2 + 7*n + 2*n in the form x + m*n and give x.
31
Express (0*n - 7*n + 2*n)*(0 + 12 + 5)*(-2 + 4 - 4) as v*n + i and give v.
170
Express (0*d - 5*d + 4*d)*(7*d - 2*d - 4*d) - 3*d**2 + 2*d**2 + 3*d**2 - 35*d**2 - 61*d**2 + 12*d**2 in the form s*d + x + j*d**2 and give j.
-83
Express (z + 2 - 2)*(-13*z + 6*z - 14*z)*(-2455 + 2455 - 22*z**2) as x*z**3 + m + k*z + u*z**2 + h*z**4 and give k.
0
Rearrange 47 + 50 - 4*z + 5*z + 162 - 7 to the form h*z + l and give l.
252
Express -11*x + 2 - 30*x**3 + 91*x**3 - 26*x**3 - 37*x**3 as w*x**2 + t*x**3 + a + l*x and give l.
-11
Rearrange -82*u - 128*u - 14*u - 342*u + 74*u to v*u + o and give v.
-492
Express 0 + 223*y + 0 - 35*y in the form q*y + d and give q.
188
Express (3*f + 40*f + 16*f)*((-2*f + 3 - 3)*(2*f - 3*f + 0*f) + 29*f**2 - 11*f**2 + 14*f**2) as b*f**2 + h*f + x + y*f**3 and give y.
2006
Express -84*i**3 - 2*i + 76*i**3 + 110*i**2 - 109*i**2 + 2 in the form s + f*i**2 + x*i**3 + n*i and give s.
2
Rearrange 48*h**2 - 124*h**2 + 54*h**2 + (-2*h + 5*h - 2*h)*(-319 - 10*h + 319) to the form i*h + q + m*h**2 and give m.
-32
Express 3 + 12*t - 23*t**2 - 6*t - 5 - 8*t as u*t**2 + j*t + w and give w.
-2
Rearrange (-32*m + 21 - 21)*(-6*m - 27*m + 57*m) to the form w*m + g + p*m**2 and give p.
-768
Rearrange -f + 6*f + 9*f + 6 + 0*f to the form k*f + h and give h.
6
Rearrange -79*j**2 - 93*j**2 + 2*j - 1 + 144*j**2 + j to k*j**2 + m*j + u and give u.
-1
Express (6 - 3 - 1)*(5*a**2 + 0*a**2 - 3*a**2) + 90 - 90 - 629*a + 3*a**2 in the form w*a + v + t*a**2 and give t.
7
Rearrange -35*z**2 - 2*z**3 + 68*z**2 + 54*z**2 to the form v + t*z**3 + f*z**2 + j*z and give f.
87
Rearrange (529*i**2 - 525*i**2 - 67 + 54*i + 69)*(-4*i + 2*i + i) to m + l*i**3 + d*i + w*i**2 and give l.
-4
Rearrange 732*g**4 + 1 - 6 - 1465*g**4 - g**2 + 732*g**4 - g to the form a*g**4 + l*g + q + s*g**2 + r*g**3 and give a.
-1
Express 9 | {
"pile_set_name": "DM Mathematics"
} |
28, -4*c + 80 + 156 = 4*m. What is the greatest common divisor of 11 and c?
11
Let f be 1/(-8) - (-105)/8. Suppose f*q - 160 = 152. Calculate the greatest common factor of 60 and q.
12
Let u(b) = 12*b**2 + 4*b - 1. Let o be u(-3). Let y(p) = -14*p + 9. Let n be y(4). Let m = n + o. Calculate the greatest common factor of m and 12.
12
Suppose -87 = 14*j - 227. Calculate the highest common divisor of j and 250.
10
Let n(c) = -2*c + 24. Let v be n(12). Suppose v = 4*b - 3*x - 126, 0 = -b + 4*b - 3*x - 96. Calculate the highest common factor of 12 and b.
6
Suppose 224 = -13*c + 21*c. Calculate the greatest common divisor of c and 21.
7
Let j(h) = 44*h + 9. Let p be j(-3). Let l = -73 - p. What is the highest common divisor of l and 5?
5
Suppose -3606 = -9*r - 906. Let n(f) = -4 + 0*f + 0*f + 2 - 2*f + 7*f**2. Let v be n(-2). What is the greatest common divisor of v and r?
30
Let v be (567/42)/((-2)/(-20)). Calculate the highest common factor of v and 180.
45
Suppose -2384*u + 2394*u = 170. What is the greatest common factor of u and 3672?
17
Let s = 13756 + -13658. Let w(b) = 2*b**3 - 2*b + 2. Let x be w(2). What is the greatest common factor of s and x?
14
Let h be (((-40)/15)/(-4))/(3/432). What is the highest common divisor of h and 432?
48
Let s = 60 - 39. Suppose -3*m + s + 18 = 0. Let t be 0/(-2) - 234/(-2). What is the greatest common factor of m and t?
13
Suppose -2*d - 3*q + 20 = 0, -d - 6*q = -q - 24. Let a be d*(2 - -10 - 4). Calculate the greatest common divisor of a and 16.
16
Let i = -1 + 1. Suppose 24 = 3*h - i*h. Suppose -g + 3*f + 10 = 0, 3*f + 0*f = -2*g - 7. What is the greatest common divisor of h and g?
1
Let q(z) = -13*z + 152. Let k be q(11). Calculate the highest common divisor of k and 72.
9
Let l(g) = g + 6. Let j be l(5). Suppose -7 = x - j. What is the greatest common factor of x and 4?
4
Let p = -4 - -11. Let a = -814 - -849. What is the greatest common factor of p and a?
7
Suppose 2*g + 30 = 32, -u + 2*g + 49 = 0. Calculate the greatest common factor of 901 and u.
17
Let u be ((-3)/((-36)/(-32)) + -3)*-3. What is the greatest common factor of u and 1649?
17
Let i be -2 - (2 - (35 - 1)). Let p(o) = -o**3 - 2*o**2 + 14*o - 3. Let w be p(-5). Suppose -i = -y - w*y. Calculate the highest common divisor of 1 and y.
1
Let o = -15 + 50. Suppose -4*v - o = v. Let k = v + 18. Calculate the greatest common factor of 1 and k.
1
Suppose -18 + 74 = 2*r. Suppose 0 = 3*q - 3*j - 9 - 6, 3*j = -6. Suppose o - q*o + g = -60, -3*o + 88 = -g. What is the highest common factor of r and o?
28
Let s(k) = 4*k - 24. Let j be s(7). Let r be 1*(4/(-16) - (-37)/j). What is the greatest common factor of r and 6?
3
Let s = 233 - -250. Let m = s + -267. What is the highest common factor of 24 and m?
24
Let r = -447 + 933. Suppose 0 = -2*a - 5*o - 22, -2*a = -9*o + 4*o + 62. Let m be (a/(-6))/7*r. Calculate the highest common factor of 27 and m.
27
Let i be 13/3*(-156)/(-169). Let y be ((-12)/10)/((-3)/10). What is the highest common divisor of y and i?
4
Suppose -u + 5*y = -155, -3*y - 530 = -4*u - y. Calculate the highest common divisor of 20 and u.
10
Let m = 256 - 249. What is the greatest common divisor of m and 259?
7
Let o(p) = 4*p**2 - 2. Let r be o(-3). Let q(w) = 184*w - 3126. Let a be q(17). Calculate the highest common divisor of r and a.
2
Let h = 961 - 911. What is the highest common factor of 70 and h?
10
Suppose -k - 5*s + 31 = -48, -142 = -2*k - 2*s. Calculate the greatest common divisor of k and 46.
23
Let f = -223 + 603. Calculate the greatest common factor of 60 and f.
20
Let f = 26 - 18. Let r be (-2 + -2)*(-27)/4. Let s = -11 + r. Calculate the highest common divisor of f and s.
8
Let i = -264 + 390. What is the highest common divisor of 14 and i?
14
Let j be (-1)/(-4) - -127*(-1)/(-4). Let h(w) = 7*w**3 + w. Let y be h(1). What is the greatest common divisor of j and y?
8
Let f(r) = -16*r. Suppose 3*a = 2*p + 2*p + 5, -3*p - 40 = 5*a. Let b be f(a). What is the greatest common divisor of 10 and b?
10
Suppose -5*x = 4*c - 172, 5*c - 12 = 5*x - 157. What is the greatest common divisor of 32 and x?
32
Let q(g) = 27*g**2 + 35*g + 1. Let m be q(1). Let w(d) = -d**3 - d**2 - d + 1. Let u be w(-2). Calculate the highest common divisor of m and u.
7
Let p(w) = -2*w**2 - 159*w - 231. Let r be p(-78). What is the highest common factor of r and 145?
1
Suppose 0 = -5*h - 3*s - 0*s - 27, -5*h = -3*s + 33. Let q = 19 + h. Let r be 5 + (4 + -2 - -1) + 44. Calculate the greatest common divisor of r and q.
13
Suppose 0 = -2*l + 18*j - 20*j + 1376, 2*l + 5*j = 1361. What is the highest common factor of 99 and l?
99
Suppose 33768 = -3459*i + 3477*i. Calculate the highest common divisor of 67 and i.
67
Let s be 2/8 - (-153)/12. Suppose 24 = s*w - 10*w. Calculate the highest common factor of w and 1.
1
Suppose -3*o = -3, 17 = 3*v + 5*o - 0*o. Let y = v - 0. Suppose y*q - 461 - 23 = 0. Calculate the greatest common factor of 11 and q.
11
Suppose -311 - 190 = 4*z + 3*q, -2*z + 3*q - 273 = 0. Let x = 173 + z. What is the highest common divisor of 220 and x?
44
Suppose -3*l = 2*l - 30. Let c = -1102 - -1108. Calculate the greatest common factor of c and l.
6
Let i be (-6 - (-2 + -1))*-117. Let w = i - 207. Calculate the greatest common divisor of 18 and w.
18
Suppose 2*j = 7*j - 2*l + 20, -3*l + 21 = -3*j. Let m be (3/(-2) - 45/j)*5. Calculate the highest common factor of 35 and m.
35
Suppose 5 = 2*p - 2*r - 13, 3*p - 5*r = 27. Suppose -41*k + 121 + 248 = 0. Calculate the highest common divisor of p and k.
9
Let k = -57 - -125. Calculate the highest common factor of 85 and k.
17
Let s(o) = -18*o**3 - 3*o**2 - o + 1. Let i be s(-2). Let r = 97 - 37. Suppose -10*j = -6*j - r. Calculate the highest common factor of j and i.
15
Let a(x) = -x + 11 - 8*x - 4*x + 2*x. Let h be a(-6). Suppose 2*f = -w + 4 + 13, -29 = -2*w - 3*f. Calculate the highest common divisor of h and w.
7
Let h(j) = -5*j - 41. Let u be h(-13). Let m = u + 7. What is the highest common factor of m and 93?
31
Let u be 5/(-2) + (-181507)/(-82). Calculate the greatest common divisor of u and 33.
33
Let z be (124/(-31))/((-4)/37). What is the highest common divisor of 111 and z?
37
Let i be (-2*27/(-30))/(2/10). What is the highest common divisor of i and 9?
9
Let x(z) = -z**2 - 29*z - 71. Let a be x(-26). What is the greatest common divisor of 35 and a?
7
Suppose -21 - 75 = -2*g. Let d = 7 + -2. Suppose -d - 7 = -x. Calculate the highest common factor of x and g.
12
Let q be (-2)/(-8) + (-70)/(-8). Let g be 18/(-27) - 44/6. Let z be ((-9)/(-2))/(((-4)/g)/1). Calculate the highest common divisor of q and z.
9
Let k be (-8)/(-10) - (-516)/5. What is the greatest common factor of 8 and k?
8
Let h be 5*(10857/1410 - 1/10). Let p = 58 + 170. Calculate the greatest common factor of p and h.
38
Let z = 107 - 17. Suppose 23*v = 26*v - z. Calculate the highest common divisor of 12 and v.
6
Suppose 4*p + 381 = -19. Let v be (2/4)/(5/p). Let t be (24/v)/((-14)/245). Calculate the highest common divisor of t and 6.
6
Let m(d) = -d**3 + 4*d**2 + 13*d - 4. Let r be m(6). Let u be r/(1 - (-7)/(-9)). What is the highest common factor of 27 and u?
9
Suppose -f + 20 = -2*m - 5, 5*m + 4*f + 56 = 0. Let i = m + 15. Let j be (1 + i/(-6))*64. What is the greatest common factor of 16 and j?
16
Let l(i) = -i**3 + 2*i**2 + 5*i. Let r(k) = -2*k + 15. Let p be r(6). Let v be l(p). What is the greatest common factor of v and 6?
6
Suppose 3 = -3*d - 0, 2*x + d = 11. Suppose -b + 2 = -i, -x - 14 = 5*b + 5*i. Let l be (0 - b) + (-1 - -8). Calculate the greatest common factor of 24 and l.
8
Let d(k) = -3*k + 45. Let w(o) = -12*o + 179. Let m(z) = -9*d(z) + 2*w(z). Let i be m(16). Calculate the highest common divisor of i and 16.
1
Suppose -6*p = -2*p - 12. Suppose 2*a + 4*o = -0*a + 20, -p*a = o - 10. What is the greatest common divisor of a and 10?
2
Let o = 927 - 462. Calculate the highest common divisor of o and 15.
15
Let r = 2 - -3. Suppose r*c = -k + 1 + 10, -2*k + 6 = 2*c. Suppose -5*h = c*u - 24, -4*u + 22 - 4 = -5*h. Calculate the highest common factor of u and 7.
7
Let f(x) = x**3 + x**2 - 13*x - 22. Let h be f(5). What is the greatest common divisor of h and 1575?
63
Let x(r) = -5*r + 2. Let t(k) = -k**2 | {
"pile_set_name": "DM Mathematics"
} |
q, 0 = -2*k + q + 65 for k.
32
Solve -2*o + 8*j + 0 - 52 = 0, -22 = 2*o - j - j for o.
-6
Solve 0 = 7*g, 4*l + 2785895*g + 64 = 2785883*g for l.
-16
Solve 0 = 3*t - 5*m - 19, 3824*t - 7653*t + 4*m + 8 = -3829*t for t.
3
Solve -4*x - 5*a = -7*a + 22, -a - 12 = 27*x + 14 - 8 for x.
-1
Solve 13*m - 3*t - 37 = 3*m + 12*m, m - 2*t = -46 + 17 for m.
-23
Solve -142*r + 2522 = -108*r - 312*r - 5*u, -r + 3 = -3*u for r.
-9
Solve 5*q - 1 = -4*u, 0*u = 2*u + 54*q - 57 + 5 for u.
-1
Solve 0*w = -w + w + 3*g + 15, 4*w - 2270*g = -2280*g - 22 for w.
7
Solve -3*m - 29 = 2*u, -365*m + 180*m - 27 = -180*m + 2*u for m.
1
Solve -6*w - a + 58 = -11*w - 2*a, 5*w - 210 = 8*w + 59*a for w.
-11
Solve -7*m + 37 = 24*m - 10*m - 131, 5*i + 4*m - 52 = 0 for i.
4
Solve -j = w + 58 - 57, 0 = 5*j - 5*w - 45 for j.
4
Solve 5*p - 119*g + 267*g = 136*g + 76, -3*p = -5*g - 1 - 8 for p.
8
Solve 2*r + 1 = -2*l + r, -113949*l - 4*r - 1 = -113944*l for l.
-1
Solve -27 = 2*t - 165189*u + 165190*u, -5*t - 3*u = -4*u - 13 for t.
-2
Solve -10*w = -d - 51, -4*w + 2127 = 3*d + 2212 for w.
2
Solve -10 = 4*m + 3*d, -77*m = -89*m + 14*m - 3*d - 4 for m.
-1
Solve -3*h + 5*h + 2*o = -38, 11*h + 6*o = 10*h + 1 for h.
-23
Solve -5*c + 25 = 4*n, 5*n + 5*c - 35 = c - 6 for n.
5
Solve -t + c - 11670 + 11686 = 0, -2*t = c - 23 for t.
13
Solve -4*j - 5*a - 1377 = -1340, -4*j - a = -2*j + a + 16 for j.
-3
Solve h - 22*f - 1 - 2 = -16*f - 7*f, -h - 17 = 6*f for h.
7
Solve -r - 9122270 + 9122254 = -5*y, -48 = 3*r + 5*y for r.
-16
Solve 3*f + 18 = -2*p, -3*p + 15*f - 20*f + 70 - 99 = 0 for p.
-3
Solve 3*t - 7*g + g = -48, -17 = -1041*t + 1039*t - 3*g for t.
-2
Solve -5*p + 3*u - 55 = 0, -394*u - 12*u = -2*p - 6094 for p.
-2
Solve 2*j + 4*d = -22, -43*j - 45*j = -86*j + 12*d + 54 for j.
-3
Solve -6*y = -24, -5*s + 2*y = -64 + 104 - 92 for s.
12
Solve 2*p = -115405*m + 115403*m + 18, 4*p - 71*m - 111 = 0 for p.
10
Solve 9*w = 14*w + 4*s + 6, -8*s + 18 = -5*w for w.
-2
Solve -116 = 9*d + 4*c, 7991 = -3*d + 2*c + 7959 for d.
-12
Solve 75 + 39 = -3*i, -95*p + 79*p + 422 = 368*p - i for p.
1
Solve -d + 18 = 4*s, -25*s + 4115 = 5*d + 4015 for s.
2
Solve -5*d + 5*w - 5 = 0, -36458*w = -5*d - 36461*w - 13 for d.
-2
Solve 4*y = n + 3*y - 14, 33 = n - 5*y + 11 for n.
12
Solve -3*t + 7 = -3*a - 14, 2295*a - 2297*a + 3 = 3*t + 7 for a.
-5
Solve 1 = -19*v - 2*g + 1, 0 = -155*v + 153*v + g for v.
0
Solve -29 = -28*d + 29*d + x, 2*d - 28 = 6*d - 3*x + 109 for d.
-32
Solve -15*g + 495 = -0*g - 315, 12*v + 2*g = 144 for v.
3
Solve -2*z + 0*z + 2*d = -36, 3*z - 419750 = 6*d - 419657 for z.
5
Solve -2*c + 56 = f, -f + 21*f + 175 + 133 = 11*c for c.
28
Solve -3*z + 4*l + 88 = 0, 7*z = -120885*l + 120884*l + 164 for z.
24
Solve 3*d - 18 = y, 367902*y = 367907*y + 45 for d.
3
Solve 4*g + t = 45, 108412*g - 108424*g + 153 = -3*t for g.
12
Solve 3679 - 3689 = -j, -5*x - 5*j = -40 for x.
-2
Solve 9*i - 3*i + 6 = 2*l, -4*l - 555*i = -560*i - 12 for l.
3
Solve 4*s = 8*l - 20, 2*l + 82*s + 1549 - 1559 = 78*s for l.
3
Solve 0 = 7*g - 5*c - 116, 3*g + 3474 = -4*c + 3536 for g.
18
Solve 18*i + 9*k - 4*k = 34*i + 17, -4*k - 9 = -k for i.
-2
Solve -3*k + 525*h = 522*h + 54, 3 = h for k.
-15
Solve 3*k + 1859 = -i + 1839, 2*i - 16 = k for i.
4
Solve 166 = 20994*k - 20991*k - 5*j, 2*j + 103 = -11*k for k.
-3
Solve s - 82 = -2*s - 4*z + 31, 449 = 14*s + 3*z for s.
31
Solve -113*n + 109*n + 5*p - 23 - 100 = 0, 7*n = -3*p + 102 for n.
3
Solve -3*d = -5*b + 68, 247 - 413 = -3*d - 10*b - 264 for d.
-26
Solve -3*a - 132 = -2*o, 9*a - 29*a + 21*a + 68 = o for a.
4
Solve -48 = -3*r + 2*r + 17*v, 2*v + 24 = -6*v for r.
-3
Solve 0 = 3*y - 4*s - 1, 2*y + 12*s + 6 = 5*y + 21 for y.
3
Solve -2*k = 3*p + 18, -99 = -9*k + 10*k + 24*p for k.
-3
Solve -4*k + 85 = -2*f - k + 89, 2*f - 25 = -0*f - f - 5*k for f.
5
Solve -7*y + 376 = 3*s, -12*s + 200 = 4*y - 26*s + 12*s for y.
52
Solve 16*j = 9*j + 2*h + 97, 5*j - 2*j + 3*h + 84 - 114 = 0 for j.
13
Solve 4*r = 6*u + 92, -3*u - 2*r - r = 2*u + 7*r - 7*r + 64 for u.
-14
Solve 0 = -a + 4*a - 246 + 255, y = 3*y - 2*a - 60 for y.
27
Solve 0 = 3*l - 5*i + 3623 - 3630, 3*i = 3*l - 15 for l.
9
Solve u + 2*b + 24 = -0*u - 3*b, -b = 2*b - 10*b + 6*b for u.
-24
Solve -3*v + 53 = 4*u, -24*v = 22*v - 55*v - 2*u + 169 for v.
19
Solve 480*m = -74*u + 77*u + 481*m - 5, -2*u = -25*m - 183 for u.
4
Solve 4*d - 19*w - 1229 = -1134, d - 2*w = -6*w - 20 for d.
0
Solve 0 = c - 40*v + 146, -367 + 157 + 180 = -3*c + 3*v for c.
14
Solve -3*m = 3582*h - 3580*h - 22, 0 = 104*m + 5*h - 441 for m.
4
Solve 5*a - 5*j - 10 = 0, 11 = 4*a + 8951*j - 8952*j for a.
3
Solve -5*g - 9*w = -115, 0 = 3*g + 606*w - 607*w - 37 for g.
14
Solve f - 4*v = -52, 24 = 257*f - 258*f - 3*v for f.
-36
Solve -424*c - 16 = 5*q - 211*c - 216*c, -q + 4*c = 44 for q.
4
Solve -4*f - 463*l + 466*l - 4 = -1, -5*l = -61*f - 5 for f.
0
Solve -3*j + 29 = 42365*z - 42340*z - 1, 3*j - 2*z + 51 = 0 for j.
-15
Solve -5*h + 5*x - 55 = 0, 0 = 2423089*x - 2423094*x for h.
-11
Solve 0 = -13*g + 20 + 6, 33*q + 5 = 32*q - 3*g + 14 for q.
3
Solve -2*f = -22*d + 36, 841*d - 839*d + 26 = -4*f for f.
-7
Solve 4*p = 3*d + 55, -353*p - 3*d = 354*p + 352*p - 1059*p - 9 for p.
16
Solve 5*w + 38 = -7, -5*x + 36*w - 10*w = 30*w + 26 for x.
2
Solve -2*u = -12, 3*r = -4*u + 2669725 - 2669716 for r.
-5
Solve -20*i + 25*i + j - 48 = 0, 20*j = 4*i + 24 for i.
9
Solve -36085 = 3*m - 3*z - 36022, -7*m + 3*z = 143 for m.
-20
Solve 10 = -2*r + 3*w, -1196*r - 3*w + 5*w + 36 = -1192*r + 3*w for r.
7
Solve 68 = 3*a - 2*d, 5*a + 5*d + 13853 = -6*d + 13995 for a.
24
Solve f + 4*o = -24, -148*o = -152*f + 157*f + 888 for f.
0
Solve 5*h - 696 = -4*k, 948 = k - 2*k + 11*h + 20 - 564 for k.
4
Solve 0 = 3*d - 15, 4*v - 3*d + 30 = 19 for v.
1
Solve 0 = 4*x + u + 21162 - 21097, 4*u = -x - 20 for x.
-16
Solve 10*g - 7 + 28 = 3*u, -2*u - 2*g + 7 = -u for u.
7
Solve 0 = -k + 10, 1409893*p = 1409896*p + 4*k - 37 for p.
-1
Solve -5*i = -0*t - t + 16, 0 = 4*t + 4*i - 1428 + 1460 for t.
-4
Solve 3*v + 8*k = 2*v + 6*k + 15, 33*v + 75*k = 74*k + 170 for v.
5
Solve 5*z + m = 2*z + 3 - 16, -83*z = 5*m + 269 for z.
-3
Solve -12 = g + c, -8*g + 9723 = c + 9714 for g.
3
Solve 0 = 5*p + 5*r - 20, r + 4*r = 53*p - 47*p + 2 - 4 for p.
2
Solve 5*c + 2 = -2*d + 22, -66*d - 56*c = -37*d - 34*d - 224 for d.
0
Solve 10*c + 7108 = -4*a + 6900, 102 = -a - 5*c for a.
-2
Solve 10552*r = 10547*r - 3*c + 78, -5*r - 78 = -3*c for r.
0
Solve -2*x = -11*o + 191 - 130, o = 2*x + 11 for x.
-3
Solve -167*t + 171*t + 3*q = 76, -6*t + 3*q + 114 = 0 for t.
19
Solve 6*a = -5*t + 79, -t + 12 = 1486*a - 1481*a for a.
-1
Solve -39*z + 4*d + 40 = -40*z + 10, -5*d - 5 = z + 28 for z.
-18
Solve 125 = 2*b + 143, -15*g = -13*g - 29*b - 8*b - 212 - 123 for g.
1
Solve 96 = 3*i - 3*m, 0 = -5*i + 25*m + 4848 - 4108 for i.
3
Solve -2*d - 5*b - 26 = -b, -5*d + 6226*b = 6221*b - 1 - 24 for d.
-1
Solve 5*f + 2*d + 2*d = 2*f + d, -103*f - 2*d = -108*f for f.
0
Solve 5*n - 60 = -10*l + 15*l, l = 2*n - 4*l - 36 for n.
8
Solve -763*i + 761*i - 11 = 3*w, -10*i + 2*w + 30 = 0 for i.
2
Solve -63*z - 62*z + 186*z - 58*z - u = -5, -z = 4*u + 19 for z.
-3
Solve 5*a + 6 = -3*s + 6*s, 4*a - a - 6*a - 75*s + 534 = 0 for a.
3
Solve 1818*u = 1819*u + 3*s - 1, 9 = u - s for u.
7
Solve -3*h + 8 = -3*s + 7*s, 7*h - 681*s + 678*s = 2*h - 35 for h.
-4
Solve 0 = a - 26*k + 28*k - 20, -2*a - a = -2*a - 5*k + 1 for a.
14
Solve o + 25 = 2*v, -4*o - 432195*v = -432170*v + 199 for o.
-31
Solve 10*w - 3*b + 36 - 33 = 6*w, -4*b - 9 = -w for w.
-3
Solve -2*y + 1678*t + 168 = 1635*t, 2*y + 16 = -3*t for y.
-2
Solve -2*m = 2*m - 28, 42 - 2 = -5*f - 33*m + 38*m for f.
-1
Solve -4*p = 1799*z - 1809*z + 66, -p + 4*z = 27 for p.
1
Solve -4*m = y + 60287 - 60267, 5*y - 15 = 3*m for y.
0
Solve -66*n + 82*n + 2*o = 168, -3*n + 6*o - 2*o = -14 for n.
10
Solve 3*f - 14628 = 2*y - 14637, -y + 3 = 0 for f.
-1
Solve -3*i + 41 = -13*n, 0 = -5*i + 4*n - 1267 + 1247 for i.
-8
Solve -10*i = -1304*d + 651*d + 656*d - 86, 6*d - 2*i + 4 = -0*i for d.
2
Solve 88247 - 88131 = 5*p + 3*m, 0 = p + 2*m - 26 for p.
22
Solve -3*m + 25690*h - 112 = 25677*h, 0 = -m + h - 44 for m.
-46
Solve -2*t + 30 = -3*t + 5*o, -40 = 988*t - 979*t + o for t.
-5
Solve 143 = 42*f - 211*z + 216*z, -5*f - 18*z + 19*z = -25 for f.
4
Sol | {
"pile_set_name": "DM Mathematics"
} |
order.
-3, m, i, 5
Let j = 100 + -102. Let q be 72/16 - 6/4. Sort j, q, -4 in increasing order.
-4, j, q
Let p = 0 - -0.2. Let i = 15.3 + -15. Sort p, -3, i, 3/4 in increasing order.
-3, p, i, 3/4
Suppose -31*o - 32 = 30. Put 14, o, 3 in increasing order.
o, 3, 14
Suppose -41 - 7 = -4*q. Suppose 5*t - 11 = -c, 3*c = -9*t + 11*t - 1. Sort q, c, 0 in descending order.
q, c, 0
Let w = -8 + 6. Let h be (-1)/65*3311/63. Let z = h - -1/117. Sort -0.4, w, z.
w, z, -0.4
Let a be 2*(3 - 1 - 3). Let k be 45/30 + 0/a. Put -0.04, k, 0.3, -3 in increasing order.
-3, -0.04, 0.3, k
Let u = -0.43 - -0.24. Let r = 0.11 + u. Let q = r + -0.02. Put q, 3, 1/2 in decreasing order.
3, 1/2, q
Let c = 69 - 69.5. Put c, 12, 5/4, -5 in increasing order.
-5, c, 5/4, 12
Let y = 434 + -869/2. Put 0.1, y, 3.4 in ascending order.
y, 0.1, 3.4
Let i = 3 - -2. Let s = 0.15119 + -0.05119. Sort i, 0.5, s.
s, 0.5, i
Let n(r) = r**3 - 7*r**2 + 11*r - 5. Let i be n(5). Suppose -4*c + 19 - 91 = 0. Let z be (-1)/(-2) - c/(-4). Sort z, 4, i in decreasing order.
4, i, z
Let g = 739 + -742. Put -5, -0.09, 0.2, g in increasing order.
-5, g, -0.09, 0.2
Suppose s - 40 = -3*s. Let l(g) = -g**2 + 11*g - 8. Let h be l(s). Suppose -r + 4*k = -h, -11 = -5*r + k - 1. Sort r, 5, -2.
-2, r, 5
Let h be ((-15)/60)/(1/(-20)). Suppose 2*b + a + 1 - 2 = 0, h*b + 2*a - 4 = 0. Sort 5, b, 4, 1.
1, b, 4, 5
Let s = 6 + -12. Let x = s + 6. Suppose -3*t = -x - 3. Sort 3, -6, t.
-6, t, 3
Let f(t) = -t**2 - 4*t - 3. Let n be f(-4). Suppose 4*j + 8 = 6*j. Suppose -5*r - 1 = -j*r. Put r, n, -5 in decreasing order.
r, n, -5
Suppose -14*q - 47*q = -305. Let i = -1 + 1. Put q, i, -1 in decreasing order.
q, i, -1
Let f be (55/11 + -11)/2. Suppose g - 5*r = -4*g, -4*g - 5*r = -27. Sort f, 0, g.
f, 0, g
Let u(y) = -y**3 + 7*y**2 + 6*y + 18. Let o(f) = -4*f. Let l be o(-2). Let x be u(l). Let w = -2 + -2. Put w, x, 3 in descending order.
3, x, w
Let z = -67 - -66. Let b be 72/(-30)*z/(-2). Put -0.5, b, -14, -1 in decreasing order.
-0.5, -1, b, -14
Let r(q) = -14*q + 85. Let l be r(6). Let h be 1*(-4 + 2)/2. Sort -9, h, l in increasing order.
-9, h, l
Suppose v + 5 = 0, 2*j = -3*j - v - 40. Sort 2, -5, j in descending order.
2, -5, j
Let f = 78 - 74.5. Let o = f + -4.5. Put 1.1, o, 2, 1 in descending order.
2, 1.1, 1, o
Let m = -1163 - -8123/7. Let z = -115/42 - m. Let x be 3/(-9) + 7/3. Sort z, 4, x in increasing order.
z, x, 4
Suppose y = 4*l, 0 = -2*l - 11*y + 15*y + 14. Suppose k = 3*b + 2, 2*b + k + 18 = 5*k. Sort l, b, 0, 3.
l, 0, b, 3
Suppose 0 = -4*u + 2*u + 2. Suppose -47 = -4*s + u. Suppose f - 5*z = -4*f - 15, 4*z - s = 5*f. Sort 2, f, 1 in ascending order.
f, 1, 2
Let i = 98 - 85. Let m = 12.7 - i. Sort -0.14, m, -2 in decreasing order.
-0.14, m, -2
Let b be -1*2/(-2) + -2. Let m be b/(((-14)/8)/(-7)). Let q = 21 + -20.8. Sort 0.5, m, q.
m, q, 0.5
Let n(q) = q**2 + 6*q + 4. Let r be n(-4). Let y = 134/9 - 1492/99. Sort 0, y, -2/5, r in decreasing order.
0, y, -2/5, r
Let l = -0.6 - -0.5. Suppose 4*b + 193 = 13. Let i be 3/b*2 + 0. Put -1, l, i in descending order.
l, i, -1
Let r = 9 - 14. Let a be (820/(-84))/r - (-4)/(-14). Let x = -2.1 + 0.1. Sort 0, a, x in descending order.
a, 0, x
Let o = 992 - 996. Let f = 0 - -1. Sort -20, o, f in decreasing order.
f, o, -20
Let l = 23 - 21. Suppose 3*n + 26 = 5*y, 2*n + l*y - 6 = n. Suppose -3*w = 2 + 1. Sort w, -5, n in decreasing order.
w, n, -5
Let z be 288/(-1292) - 4/(-38). Put -3, z, -2 in ascending order.
-3, -2, z
Suppose 24 = 1558*t - 1566*t. Sort 140, 2, 0, t in increasing order.
t, 0, 2, 140
Let t = -2.27 - 2.73. Sort 30/7, 2, t in ascending order.
t, 2, 30/7
Let p = -44.7 - -43. Let g = p - -1.6. Let v = -0.1 + g. Put -1/7, v, -2/15 in increasing order.
v, -1/7, -2/15
Let z = -2168 + 2163. Put 0, 5, z, -121 in descending order.
5, 0, z, -121
Suppose -9 - 1 = 5*o. Suppose -4*t = -3*i - 2, -t = 2*t - 6. Sort o, -7, i in increasing order.
-7, o, i
Let f = 1048 + -1051. Put -2/15, -56, f in decreasing order.
-2/15, f, -56
Suppose 2*s - 15 = 9. Suppose -4 - 1 = -5*p + 5*y, 0 = p + 5*y - 13. Suppose 5*h + 14 + 1 = 0. Sort h, p, s.
h, p, s
Let i be 5/2*160/100. Let h be 0 - -2*3/2. Suppose -4*l - 12 = 4*v, -2 = 5*l + 4*v + 10. Put l, h, i in increasing order.
l, h, i
Let y(f) = -f**3 + 5*f**2 + 10*f - 21. Let u be y(6). Suppose 0 = u*t - 4 - 5. Put -1, -3, t, -4 in ascending order.
-4, -3, -1, t
Let l = -5/26 - 23/286. Put -1, 4, l, 3/8 in descending order.
4, 3/8, l, -1
Let j = -6 - -4. Let s(k) = k**3 - 5*k**2 - 10*k - 1. Let u be s(7). Suppose 3*i + 4*g - 7 = 6*g, u = 3*i + 3*g. Sort j, i, 1 in descending order.
i, 1, j
Let m(o) = -3*o - 15. Let n be m(-7). Let t = n + -5. Put 3, t, 0 in descending order.
3, t, 0
Let m = -157 + 168. Sort 1, m, -11 in descending order.
m, 1, -11
Let c = 2.05 - 0.05. Suppose 10*i = -10*i. Put i, c, -1 in decreasing order.
c, i, -1
Let s = -26 - -31. Suppose s = -5*c - 5*u, c + 3*u + 24 = 5*c. Suppose -4*y - 4*m = 7 + 9, 4*y + 11 = m. Put y, c, 0 in decreasing order.
c, 0, y
Let s(n) = -n**3 + 2*n**2 + 10*n + 21. Let l be s(5). Sort l, -32, 3 in decreasing order.
3, l, -32
Let s = 892 + -891. Let l be (-20)/(-75)*6/(-4). Sort -0.03, l, s.
l, -0.03, s
Suppose 0 = 11*o - 7*o + 12. Suppose 32*h = 23*h + 171. Put 4, h, o in descending order.
h, 4, o
Let n = 2 - -1. Let v be 3 - 3/(0 + 1). Sort 1, -2, v, n in decreasing order.
n, 1, v, -2
Suppose 2*a + 47 = 3*c + 7, -2*c - 40 = 2*a. Let v = 21 + a. Put 6, v, -2 in decreasing order.
6, v, -2
Suppose 6*x = 5*v + 9*x + 245, 4*x - 147 = 3*v. Sort 4, v, 0.
v, 0, 4
Suppose -2*j + 5*i = -16, 2*i + 2*i - 7 = -5*j. Suppose -n - 5 = 0, 2*z - 3*n = -j*z + 5. Let y be -2*1*z/8. Sort -2, 3, y.
-2, y, 3
Let u = 19/40 + 1/8. Let n be ((-4)/14)/((-2034)/126 + 16). Put -6, u, 1, n in decreasing order.
n, 1, u, -6
Let z = 472 + -471. Put -1, 4, z, 3 in decreasing order.
4, 3, z, -1
Let o be -5*(12/15)/2. Let f = -3 + -70. Let x = f + 72. Sort o, 3, x in ascending order.
o, x, 3
Let r = 7.31 + -6.31. Let t be (-6)/20*(-25)/60. Sort -0.1, t, r in descending order.
r, t, -0.1
Let g = -1180 - -1179. Let w = -0.5 - -3.5. Sort -2, g, -4, w in ascending order.
-4, -2, g, w
Suppose 7*x = -29*x - 108. Sort -1, x, -4, 2 in ascending order.
-4, x, -1, 2
Let n be 24/(-14) - 270/210. Let r(y) = -y**3 + 4*y**2 + 6*y. Let m be r(5). Put 2, n, m in descending order.
m, 2, n
Let a(c) = c**3 - 9*c**2 - 11*c + 11. Let n be a(10). Suppose -13 = -6*d - n. Sort d, 1, -6 in ascending order.
-6, 1, d
Suppose -5*l + 85 = 15. Let g(u) = u**2 - 14*u - 3. Let t be g(l). Sort t, 2, -6.
-6, t, 2
Let q = 1 - 1. Let j = -6.4 - -6. Let i be 5*(56/(-20) - -3). Sort q, j, i.
j, q, i
Let w = -211 - -211.34. Sort -0.1, w, 3 in descending order.
3, w, -0.1
Let u be (-20)/(-6) - (-2)/(-6). Let v = -405/22 + 1237/66. Put v, u, -3 in decreasing order.
u, v, -3
Let t = 9 - 4. Let i = 511 + -510. Sort i, t, -7.
-7, i, t
Suppose -f + 4*f - 21 = 0. Let n = 0.7 - 0.6. Let k = 0.2 - n. Sort f, 0, k in decreasing order.
f, k, 0
Let h = -733 + 732.84. Sort h, 0.2, -3/2, 4 in increasing order.
-3/2, h, 0.2, 4
Let k = 11.5 - 12. Let c = 2.61 + -0.11. Let y = k - c. Put 0.3, y, -1/7 in descending order.
0.3, -1/7, y
Let w(v) = -42*v - 207. Let m be w(-5). Sort m, -22, 5 in decreasing order.
5, m, -22
Suppose 258 = -4*c + 2*x, -2*c + 2*x = -3*c - 62. Let u be c/60 + 2/3. Sort 4, -6, u in decreasing order.
4, u, -6
Suppose 4*t + 12 = -8*h, -t + 8 = 13. Suppose -c + 6*c = -5*q + 10, 0 = -c - 3*q. Let z be 1/(-2) + (-5)/(-4). Put c, z, h in ascending order.
z, h, c
Let m(s) = 4*s + 5. Let v be m(-1). Suppose 3*x - 25 = -10. Let j = v - x. Sort 4, j, -2 in decreasing order.
4, -2, j
Let q = 110 - 118. Let j = q - -6. Let o be (-12)/(-5)*30/9. Put -1, o, j in descending order.
o, -1, j
Let c be 34/(-2) - 3/3. Let s = c - -11. Put -1, -5, s in increasing order.
s, -5, -1
Suppose -6*u = -11*u + 10. Suppose -3*c = k - 2*c - u, k + 3*c = 10. Sort k, -15, -5, 3 in descending order.
3, k, -5, -15
Let g = 29 - 20. Let c = -9.3 - -3.3. Let m = g + c. Sort 2/15, m, -3 in ascending order.
-3, 2/15, m
Let n = 0.4 - 0.2. Let i = 21 - 15. Let f be i/(-14) - (13 - 13). Sort f, n, -1 in descending order.
n, f, -1
Let x = -969 - -984. Put x, 4, 3, 1 in descending order | {
"pile_set_name": "DM Mathematics"
} |
Suppose -3*z = -5*z - 52. Let y be 10/35 - z/7. Suppose -6*n - 3*l + 10 = -8*n, y*n - 16 = -3*l. Which is the biggest value? (a) -0.3 (b) n (c) -2
b
Let u = -52 + 52. Which is the biggest value? (a) 9 (b) u (c) -3
a
Let d = -0.01 + 2.01. Let t = 3 - 0. Let j = -0.013 - -0.113. What is the biggest value in t, d, j?
t
Let x = -10.4 + 10. Let s = 0.8 + x. What is the third biggest value in s, 5, 0.2?
0.2
Let l = -3 - -3.13. Let n = l + -0.03. Let o = 0.6 + -0.3. Which is the biggest value? (a) o (b) n (c) 2/7
a
Suppose 2 + 3 = -i. Let x(q) be the second derivative of q**5/20 + q**4/2 + 2*q**3/3 - 7*q. Let h be x(i). Which is the biggest value? (a) 0.4 (b) h (c) -1/4
b
Let o = -0.2 - -0.2. Suppose -18 = q - 2*r - 6, q + r + 21 = 0. Let h be (-12)/q - (-26)/(-30). What is the third biggest value in h, o, 5?
h
Let k(h) = 2*h + 1. Let y be k(2). Let a = 0.4 + -2.4. Let x = -1 + a. What is the second smallest value in y, -1/4, x?
-1/4
Let z = -0.4 + 0.1. Let k = -53 + 267/5. Which is the third biggest value? (a) -0.5 (b) z (c) k
a
Let q = 2 + 4. Suppose -3*z = s + 12, z = -3*s + q*s + 16. What is the third smallest value in -1, s, -1/3?
-1/3
Suppose -3*v + 8*v = 0. What is the fourth biggest value in 2, 2/3, 5, v?
v
Let g = -7 - -7.5. What is the third smallest value in 5, g, -0.1?
5
Let u(w) = w**3 - 9*w**2 + 15*w - 8. Let r be u(7). Which is the second biggest value? (a) -4 (b) 0.3 (c) r
c
Let r be -1 + 1 + (-6)/(-3). What is the biggest value in -1, r, -0.15?
r
Let p = -0.3 - -0.1. Suppose -5*n + 4*g + 24 = -n, -3*n + 5*g = -28. Suppose -6 + n = -r. Which is the third smallest value? (a) -2 (b) r (c) p
b
Let c = 12 - 14. Let n = 3 - 2. What is the biggest value in -0.2, n, c?
n
Let k = -14 + 18. What is the third smallest value in k, 0.2, 5?
5
Suppose 2*d - 5 = 1. Let z be 23/40 + d/(-15). What is the second smallest value in 4/7, z, 4?
4/7
Let f = -0.109 - 2.911. Let s = 1.02 + -1. Let d = s + f. Which is the biggest value? (a) -0.1 (b) 4 (c) d
b
Suppose 38*t = 57*t + 19. Let p = -8/33 - -10/11. Which is the third smallest value? (a) p (b) 2/5 (c) t
a
Let j = -21.1 - -22. Let f = 45 + -45.7. Let u = f + j. Which is the smallest value? (a) 5 (b) 1 (c) u
c
Let f = 1 - 9. Which is the biggest value? (a) -0.5 (b) -3 (c) f
a
Let n = -17.6 - -18. Let g = 1/49 - 109/539. Which is the second biggest value? (a) g (b) n (c) -1
a
Let y = 2.23 - 2.33. Let l(v) = -v**3 - 3*v**2 + 4*v + 6. Let w be l(-4). Suppose -3*b = -3 - w. What is the second smallest value in -3, y, b?
y
Let n be (-5)/(-12) + 2/8. Which is the third biggest value? (a) n (b) -1 (c) 0.1
b
Let k = -606415 - -216490004/357. Let t = k - 2/357. Which is the third biggest value? (a) -1 (b) t (c) 5
a
Let i = 0.4 + 0. Let w = -38 + 38.3. Which is the biggest value? (a) 0.03 (b) w (c) i
c
Let d = -0.54 - -0.04. Let o = -1 - d. What is the second smallest value in 2/9, 5, o?
2/9
Let v(p) = -8*p + 5*p - 3*p**2 + 4*p**2 - 3*p + 4. Let w be v(3). Which is the smallest value? (a) -0.2 (b) w (c) -4
b
Let w = -436 + 442.19. Let i = -0.19 + w. Which is the biggest value? (a) i (b) 2 (c) -2/3
a
Let t = 20.6 - 13.5. Let b = 1.1 - t. Let s = 70 - 69. What is the second biggest value in s, -0.4, b?
-0.4
Let g(p) = p**2 - 3*p + 1. Let u be g(2). Let a be 6/(-156)*(u - 3). What is the second smallest value in -4, 2, a?
a
Let q be 20/93 + 4/(-6). Let n = -188/279 - q. Suppose -d = 6 - 1. Which is the third smallest value? (a) n (b) 1/2 (c) d
b
Let j be (-1)/(-5) + (-20768)/(-165). Let o = j - 126. What is the smallest value in 4, 5, o?
o
Let s = -5 + 7. Suppose -5*w - 6 = -s*w. Which is the second smallest value? (a) 3 (b) 0.4 (c) w
b
Let v = -9 - -14. Suppose -5*x = -13 + 8. Let r be x/(-2)*(4 + -1). Which is the biggest value? (a) -3 (b) v (c) r
b
Suppose -53 = -7*f - 18. Let y = -0.3 + 0.2. Let n = 0.1 - y. Which is the second smallest value? (a) n (b) 2 (c) f
b
Let x(r) = r**3 + 4*r**2 + 2*r - 3. Let s be x(-3). Let f = 4 - s. Which is the biggest value? (a) 3 (b) -0.2 (c) f
c
Let s be 2/(-4) + 6/(-84). Let o = 20 - 18.7. Let u = o - 0.3. What is the biggest value in 1/3, u, s?
u
Let k = -1000.4 - -1000. Let p = -5.6 + 6. What is the third biggest value in k, -2/3, p?
-2/3
Let m = 40 + -40.06. Which is the biggest value? (a) -2/13 (b) m (c) 1
c
Suppose 5*r - 4 - 7 = -3*s, 3*s = 5*r + 1. Let v be ((2 + -2)/1)/s. Suppose o + 0*o = v. What is the second smallest value in 5, -2/7, o?
o
Let m = 112 - 780/7. Which is the third biggest value? (a) 1/4 (b) 1/8 (c) m (d) 1
a
Let z be (1 - 2)/(6/(-4) + -2). What is the third biggest value in 2/21, 0.07, 4, z?
2/21
Let f be (2/(-4))/((-4)/(-8)). Let g = 1.9 + 0.1. Let r = g + -2.1. What is the second smallest value in 4/3, f, r?
r
Let d = 493/15 - 33. Which is the second biggest value? (a) d (b) 1 (c) -3
a
Let w = -4.059 - -0.059. Let f = -1345/9 + 149. Which is the smallest value? (a) f (b) 0.4 (c) w
c
Suppose -4*u = -32 + 8. Suppose 3*h + 0*h = u. What is the second smallest value in -0.2, 0.2, h?
0.2
Let k = -0.22 - 0. Let f = -2.78 + k. What is the biggest value in -1, 1.2, f?
1.2
Let q = -0.21 - -2.01. Let o = q + -1.7. Which is the third smallest value? (a) -2 (b) 1 (c) o
b
Let u be (0 - 0)/(-11 + 10). Which is the second biggest value? (a) u (b) 0.4 (c) -3/2
a
Let f = -2 - 2. Let n be 2 + f/1 + -1. Which is the third biggest value? (a) 0.4 (b) n (c) 2
b
Let l = 1.98 - -0.02. What is the second biggest value in l, -2, -0.5?
-0.5
Let n = 0.29 + 0.71. What is the biggest value in -2, 2/9, n?
n
Let v = -74 + 77. Which is the second smallest value? (a) -0.5 (b) v (c) 5 (d) 0
d
Let q be ((-2)/(-18))/(2/4). Which is the third biggest value? (a) q (b) 6 (c) -4
c
Let d = 25/2 - 12. Let q = 162 - 813/5. What is the biggest value in -5, d, q?
d
Let i = -37 + 26. Let n = -11 - i. Which is the second biggest value? (a) 0.4 (b) n (c) -2/7
b
Let z = -0.23 - -0.12. Let b = -0.91 - z. Let d = -0.4 - b. What is the third biggest value in -0.1, d, 1?
-0.1
Let l be 2/6 - 2582/(-798). Let o = l - 66/19. Let h = 0 - 0.1. Which is the smallest value? (a) h (b) o (c) 4
a
Let z = -8 + -2. Let j = 10 + z. Let v = -57/7 - -8. What is the smallest value in -0.5, v, j?
-0.5
Let v be 3/(180/(-8)) + 0/(-1). Which is the third smallest value? (a) 1 (b) v (c) 3/2
c
Let j(v) = v**3 - 4*v**2 - 3*v + 8. Let w be j(4). Which is the second biggest value? (a) 2/5 (b) w (c) 6/5
a
Let u = -3.066 - -0.066. Which is the smallest value? (a) 5 (b) 1.1 (c) 2/17 (d) u
d
Let u(y) = 2*y + 2. Let w be u(5). Let m be (45/w)/(1/(-4)). Let n = 11 + m. What is the second smallest value in n, -0.2, 1/7?
-0.2
Let l = -0.15 + -4.85. What is the smallest value in -2/7, l, -0.3?
l
Let p be 68*(-4)/56 + 5. What is the third smallest value in p, 0.08, 2, 1?
1
Suppose 2*l - 78 = -0. Let b = -194/5 + l. Let d = 0.39 - -0.01. What is the biggest value in b, 1/2, d?
1/2
Let z = -8 + 7.8. What is the biggest value in z, -3/5, 3?
3
Let q be 1*-7*(-2 - 6). Let v = 502/9 - q. What is the smallest value in 1/9, v, -2/7?
-2/7
Let g(u) = 8*u - 11. Let x be g(2). Let a = -87/28 - -20/7. What is the biggest value in 3/5, x, a?
x
Suppose -36 = -2*s - 3*z + 10, 2*z = s - 23. Let f be s/20 - 10/25. Let d = 0.25 + 0.05. What is the third biggest value in -1, d, f?
-1
Let p = -18 + 13. What is the smallest value in -4, p, -0.2?
p
Let p = -0.06 - -0.1. Let i = -3.96 - p. Which is the third biggest value? (a) -2/7 (b) 5 (c) i
c
Let u be (-6)/84 - (0 + -1). Let j = u - 47/28. Which is the biggest value? (a) -2 (b) j (c) 0.2
c
Suppose -5*r + 35 = -d + 3*d, -5*r + 5*d = 0. Let z be 1 - 3*3/r. What is the third biggest value in -2/3, z, -2?
-2
Let i = 1/29 - 35/174. Which is the third biggest value? (a) -2 (b) -23 (c) i
b
Let s = -0.009 + -22.991. Let k = s + 20. What is the biggest value in 1/4, k, 0?
1/4
Let v = 0.1 + -3.1. Let l = v - 0. Which is the biggest value? (a) -1 (b) 0.3 (c) l
b
Let m = -0.09 + 0.79. Let q = m + -0.3. Let k = q + 0. Which is the biggest value? (a) k (b) -0.3 (c) -1
a
Let x be 9/(-2) + 2/1. Which is the third biggest value? (a) 2/19 (b) x (c) 8
b
Let n = -0.99 + -1.01. What is the third bi | {
"pile_set_name": "DM Mathematics"
} |
= 22*q**2 - 490*q. Determine z(f(g)).
88*g**4 - 980*g**2
Let u(o) = 11*o**2. Let v(s) = 2275*s**2. Calculate u(v(f)).
56931875*f**4
Let f(x) = 6*x**2. Let t(d) = -2*d**2 - 25*d - 404. What is t(f(g))?
-72*g**4 - 150*g**2 - 404
Let m(n) = -15*n. Let q(x) = 112*x**2. What is q(m(b))?
25200*b**2
Let n(s) = -82*s. Let p(t) = -t**2 - 3*t - 3. Let i = 17 + -22. Let j(o) = -o**2 - 5*o - 5. Let l(x) = i*p(x) + 3*j(x). Determine n(l(w)).
-164*w**2
Let b(k) = k**2. Let g(w) = -16*w - 30*w + 6 - 4. Give g(b(v)).
-46*v**2 + 2
Let z(a) = 262*a**2. Let n(h) = -14336*h. Give n(z(g)).
-3756032*g**2
Let f(q) = -3*q. Let p(u) be the second derivative of -17*u**3/3 - 3*u - 19. Give f(p(x)).
102*x
Let v(d) = 2*d**2 + 7. Let h(t) = -t**2 - 4. Let n(s) = 7*h(s) + 4*v(s). Let u(a) be the second derivative of -11*a**3/6 - 21*a. Calculate u(n(c)).
-11*c**2
Let s(z) = z**2. Let y(w) = -6199*w. Determine s(y(p)).
38427601*p**2
Let m(x) = 18*x**2. Let h(l) = l**2 + 4*l - 4. Let w(u) = 5 + 2*u**2 - 3*u - 2*u - 4*u**2 + u**2. Let q(p) = 5*h(p) + 4*w(p). Give q(m(y)).
324*y**4
Let m(z) = 4444*z**2. Let k(w) = -8*w**2. Determine m(k(l)).
284416*l**4
Let o(d) be the third derivative of d**4/24 - 21*d**2 - 8*d. Let y(t) be the third derivative of 7*t**4/24 + 2*t**2. Give y(o(h)).
7*h
Let o(h) be the second derivative of -h**5/60 - 2*h**3 - 13*h. Let z(i) be the second derivative of o(i). Let r(s) = 13*s. Determine r(z(y)).
-26*y
Let c(r) = -3*r. Let b(g) = 13*g. Let h(v) = -b(v) - 5*c(v). Let a(i) = 6*i - 19. What is a(h(x))?
12*x - 19
Let o(v) = -65*v**2 + 7*v**2 - 28*v + 31*v. Let k(j) = -j**2. Determine k(o(c)).
-3364*c**4 + 348*c**3 - 9*c**2
Let q(l) = -150411*l. Let h(x) = 2*x. What is q(h(d))?
-300822*d
Let g(q) = -18*q**2. Let o(t) = 16*t**2 - t. Let z(n) = 4*g(n) + 5*o(n). Let j(r) = r**2 - 2*r**2 + 0*r**2. Give z(j(x)).
8*x**4 + 5*x**2
Let r(n) = 24*n + 2. Let x(l) = 2*l + 290. Calculate r(x(y)).
48*y + 6962
Let n(g) be the first derivative of 15*g**2/2 - 690. Let f(t) = 8*t - 4. Determine n(f(i)).
120*i - 60
Let p(y) be the third derivative of 5*y**4/24 + 61*y**2. Let k(n) be the first derivative of -9*n**2 + 20. What is p(k(b))?
-90*b
Let q(g) = -g**2. Let w(o) = -11*o - 15*o - 16*o + 43*o. What is q(w(t))?
-t**2
Let h(d) = 3*d**2. Let z(r) = 7*r**2 + 35*r**2 + 8*r**2 + 8*r**2. What is z(h(t))?
522*t**4
Let t(j) = -j. Let p(m) = 39175*m. What is p(t(z))?
-39175*z
Let q(w) = 2*w**2. Suppose -2*i + 32 = 4*y + i, 0 = 3*y - 4*i - 49. Let x(h) = -8 - y*h - 3 + 11. Calculate x(q(v)).
-22*v**2
Let j(l) = 2*l**2. Let i(y) be the third derivative of 7*y**5/120 + y**3/2 + 5*y**2. Let h(m) be the first derivative of i(m). Give h(j(q)).
14*q**2
Let m(l) be the third derivative of 7*l**6/720 + 11*l**4/12 + 16*l**2. Let x(q) be the second derivative of m(q). Let s(y) = 3*y**2. What is s(x(f))?
147*f**2
Let z(g) be the first derivative of -g**3 - 2. Suppose 2*d = -0*d + 4. Let k(f) = 3*f**d + 0*f**2 + 0*f**2. Calculate k(z(w)).
27*w**4
Let y(i) = 2*i + 6506. Let z(j) = -29*j. What is z(y(u))?
-58*u - 188674
Let c(f) = -6*f - 4*f - 43*f. Let b(q) = 171*q + 166*q + 161*q + 171*q - 671*q. What is b(c(l))?
106*l
Let q(c) = -19*c**2. Let t be (6/9*-6)/(-2 + 0). Let h(g) = -772 + 2*g**t + 772. Give q(h(a)).
-76*a**4
Let h(b) = 2*b**2 + 5 + 5*b - b**2 - 8*b**2 + 0*b**2. Let w(r) = -10*r**2 + 7*r + 7. Let q(c) = -7*h(c) + 5*w(c). Let i(z) = -37*z**2. Calculate i(q(s)).
-37*s**4
Let z(i) = i**2. Let b(t) = t**2. Let f(y) = 3*b(y) - 12*z(y). Let h(o) = -93*o**2. Give f(h(l)).
-77841*l**4
Let x(o) = 10*o**2 - 5. Let g(u) = -5*u**2 + 3. Let k(w) = -5*g(w) - 3*x(w). Let q(m) be the third derivative of -m**4/6 - 39*m**2 - 5. Give q(k(s)).
20*s**2
Let g(a) = 9*a**2 + 9*a**2 - 17*a**2. Let j(o) = -63*o**2 + 4*o - 8. Let x(m) = 6490*m**2 - 413*m + 826. Let i(l) = 413*j(l) + 4*x(l). Calculate g(i(f)).
3481*f**4
Let i(l) be the first derivative of 0*l**2 - 5/12*l**4 - 3 + 0*l**3 - 5*l. Let c(b) be the first derivative of i(b). Let x(z) = -3*z**2. Calculate c(x(y)).
-45*y**4
Let n(x) = 4*x. Let r(p) = -8*p + 9*p + 4 - 5 - 1 + 15*p. Calculate r(n(g)).
64*g - 2
Let x(l) be the third derivative of -l**4/8 - l**3/2 - 2*l**2 - 36*l. Let p(w) = 4*w. Determine x(p(b)).
-12*b - 3
Let w(u) be the first derivative of -3*u**2/2 + 127. Let z(g) = 45*g. What is w(z(m))?
-135*m
Let b(l) = -1921*l. Let f(s) = -4*s - 9. Give f(b(k)).
7684*k - 9
Let p(z) = 6*z + 2. Let t(b) = -13*b - 4. Let o(l) = -4*p(l) - 2*t(l). Let v(w) = -69*w**2. Give v(o(r)).
-276*r**2
Let g(b) = -b**2. Let f(m) = -48*m - 5. Let v(a) = 64*a + 12 + 26*a + 41*a - 11*a. Let t(l) = -12*f(l) - 5*v(l). Calculate t(g(i)).
24*i**2
Let c(u) = u. Let x(a) = -a + 1. Let m(q) = 8*q - 11. Let y(v) = 24*v - 32. Let d(l) = -17*m(l) + 6*y(l). Let t(f) = -4*d(f) - 20*x(f). Calculate t(c(i)).
-12*i
Let c(b) = 6*b. Let d(a) = a. Let s(r) = -c(r) + 5*d(r). Let o(p) = 5*p**2 - 7. What is o(s(u))?
5*u**2 - 7
Let m(u) = -1121*u. Let n(p) = 24713 + 2*p**2 - 24713. Calculate n(m(z)).
2513282*z**2
Let l(k) = 311*k. Let o(c) = 1070*c**2 - 2*c - 2. Determine l(o(z)).
332770*z**2 - 622*z - 622
Let o(u) = u. Let j(h) be the second derivative of h**3/3 - 46*h. Let v(p) = -j(p) + o(p). Let y(i) = -18*i**2. Determine y(v(z)).
-18*z**2
Let r(a) = -9*a - 1. Let s(y) be the first derivative of 2*y**2 + 1010. What is s(r(z))?
-36*z - 4
Let n(b) = 58*b + 25*b - 93*b. Let z(u) = 13*u**2. Give n(z(g)).
-130*g**2
Let s = -20 - -14. Let p(f) = -70*f**2 - 17*f + 17. Let j(n) = -23*n**2 - 6*n + 6. Let l(h) = s*p(h) + 17*j(h). Let q(b) = -b**2. Give q(l(t)).
-841*t**4
Let u be (-2 - -1) + 2 + 80. Let s(n) = -u*n**2 - 91*n**2 + 173*n**2. Let d(r) = 8*r**2. Calculate d(s(l)).
8*l**4
Let a(t) = 13*t - 2209. Let l(w) = 2*w. What is a(l(d))?
26*d - 2209
Let b(y) = 17558*y**2 + y. Let i(x) = 3*x. What is i(b(n))?
52674*n**2 + 3*n
Let v(w) = 3*w**2 + 2*w - 4. Let x(b) = -10*b**2 - 7*b + 14. Let f(k) = -7*v(k) - 2*x(k). Let h(p) = 3*p - 21. Give f(h(c)).
-9*c**2 + 126*c - 441
Let b(w) be the third derivative of -w**4/8 + 13*w**3/6 - 4*w**2. Let p(s) = -3*s - 4. Let n(f) = 7*f + 10. Let v(r) = 2*n(r) + 5*p(r). Calculate v(b(h)).
3*h - 13
Let r(l) = 7*l. Let j(i) be the second derivative of -1/4*i**4 + 0*i**3 - 3*i + 0*i**2 + 0. Determine r(j(u)).
-21*u**2
Let v(q) = -q**2 - 1. Let l(f) = -3*f**2 - 4. Let j(i) = -l(i) + 4*v(i). Let z(m) = 5*m**2 + 4. Determine z(j(a)).
5*a**4 + 4
Let v(k) = -7*k. Let f(z) be the third derivative of 14*z**5/15 - 310*z**2. Calculate f(v(g)).
2744*g**2
Let s(w) = -14*w**2. Let y(l) be the second derivative of -7*l - 1/3*l**3 + 0 + 0*l**2. What is y(s(r))?
28*r**2
Let f(d) = -d - 467. Let t(l) = 32*l**2. Determine f(t(n)).
-32*n**2 - 467
Let t(s) = s**2 + 22. Let m(z) = -3*z - 95. Determine m(t(a)).
-3*a**2 - 161
Let l(j) = -j. Let q(d) be the first derivative of -3*d**3 - d**2 - 95. Determine q(l(o)).
-9*o**2 + 2*o
Let q = 88 - 49. Suppose 5*k = 3*g + g - 13, 4*g = -2*k + 6. Let v(f) = f**g - 39*f + q*f. Let z(h) = -2*h**2. Calculate z(v(t)).
-2*t**4
Let m(z) = 17*z**2. Let b(w) be the first derivative of 5*w**3/3 + 6. What is b(m(g))?
1445*g**4
Let o(i) = i + 4. Let v(h) = 12*h**2 + 21*h**2 - 28*h**2. What is v(o(l))?
5*l**2 + 40*l + 80
Let h(p) = 7*p + 520. Let i(a) = -a**2. What is i(h(m))?
-49*m**2 - 7280*m - 270400
Let d(i) = -540*i**2. Let y(t) = -201*t**2 - 2. Give y(d(a)).
-58611600*a**4 - 2
Let j(o) be the first derivative of o**2/2 + 12*o + 5. Let y be j(-6). Let w(i) = 3*i - y*i - i. Let p(t) = t**2. Give w(p(r)).
-4*r**2
Let h(u) = -u. Let r(n) = 297*n**2 + 1912*n. Calculate h(r(c)).
-297*c**2 - 1912*c
Let f(p) = -4*p. Let t(x) = 2*x - 2 + 3 - 1. Give f(t(b)).
-8*b
Let b(d) = 130*d**2 - d + 4*d - 151*d**2 - 3*d. Let k(z) = 33*z**2. Give k(b(x)).
14553*x**4
Let r(k) = 252*k**2 + 3. Let d(i) = 14*i. Determine r(d(n)).
49392*n**2 + 3
Let u(j) = 22*j**2. Let f(m) = 4*m**2 - m**2 + 1 - 2 - 2*m**2. Let y be 2/4*(7 - 9). Let h(o) = 4*o**2 - 3. Let l(t) = y*h(t) + 3*f(t). Calculate u(l(c)).
22*c**4
Let q(o) = -o**2 - 5*o. Let r(i) = 2*i. Let n(s) = s - 10. Let j be n(15). Let h(w) = j*r(w) + 2*q(w). Let z(a) = -a. Give h(z(k)).
-2*k**2
Let g(l) = -269*l. Let f(j) = -22*j - 1. Calculate f(g(u)).
5918*u - 1
Let z(i) = -7*i**2 + 6*i. Let p(b) = b**2 - b. Let a | {
"pile_set_name": "DM Mathematics"
} |
Two letters picked without replacement from {k: 3, c: 5, s: 1, e: 6}. What is prob of sequence cs?
1/42
Two letters picked without replacement from {k: 2, r: 3, o: 10, h: 5}. Give prob of sequence rh.
3/76
Calculate prob of sequence poo when three letters picked without replacement from {p: 5, o: 2}.
1/21
What is prob of sequence udus when four letters picked without replacement from uzossoosuodosososdos?
7/29070
Calculate prob of sequence xxm when three letters picked without replacement from {m: 2, o: 1, q: 3, c: 3, x: 8, w: 1}.
7/306
Two letters picked without replacement from {c: 2, g: 4}. What is prob of sequence cc?
1/15
What is prob of sequence ffy when three letters picked without replacement from yfffffyycsffffyy?
3/28
What is prob of sequence pbx when three letters picked without replacement from rurummxbrurumpxmmmx?
1/1938
Calculate prob of sequence dhtv when four letters picked without replacement from tdhzhmhhhmhzmddmvhd.
7/23256
What is prob of sequence shu when three letters picked without replacement from hubuyssb?
1/84
What is prob of sequence uv when two letters picked without replacement from hkxxuhtvtkhu?
1/66
Four letters picked without replacement from {z: 1, w: 2, l: 6, f: 3, s: 3}. What is prob of sequence fzlw?
1/910
Two letters picked without replacement from fhwve. What is prob of sequence fe?
1/20
Two letters picked without replacement from rrrrjrjrjjjrjrjrjjrr. Give prob of sequence rr.
11/38
Two letters picked without replacement from {o: 1, h: 1, w: 2}. What is prob of sequence wo?
1/6
Four letters picked without replacement from xxxcxxfccc. Give prob of sequence cxxc.
1/21
Two letters picked without replacement from {b: 1, e: 2, k: 1, a: 2, r: 7, x: 1}. What is prob of sequence ab?
1/91
Three letters picked without replacement from sesel. Give prob of sequence lss.
1/30
What is prob of sequence kmo when three letters picked without replacement from mooopmookkmpmooom?
1/51
Two letters picked without replacement from xxxjxj. What is prob of sequence xx?
2/5
Two letters picked without replacement from {p: 1, o: 1, k: 2}. What is prob of sequence kp?
1/6
Four letters picked without replacement from jjjiljihiejhhji. What is prob of sequence hjjl?
1/364
Calculate prob of sequence gg when two letters picked without replacement from ggg.
1
What is prob of sequence ob when two letters picked without replacement from zbbonwqw?
1/28
Calculate prob of sequence poo when three letters picked without replacement from {o: 9, p: 11}.
11/95
Two letters picked without replacement from {y: 1, e: 8, x: 6}. What is prob of sequence ye?
4/105
Two letters picked without replacement from ccgylcgxggcclcg. Give prob of sequence ll.
1/105
Calculate prob of sequence cvn when three letters picked without replacement from {q: 1, m: 1, n: 1, y: 1, c: 2, v: 1}.
1/105
Calculate prob of sequence fn when two letters picked without replacement from kjkfljkjffkxfnkk.
1/60
Three letters picked without replacement from ijhvjkky. Give prob of sequence vji.
1/168
Four letters picked without replacement from hrnxrkr. Give prob of sequence rkxn.
1/280
Calculate prob of sequence rrrr when four letters picked without replacement from {h: 1, r: 7, j: 1}.
5/18
Four letters picked without replacement from zgfg. Give prob of sequence gfgz.
1/12
Four letters picked without replacement from eueaeooeeuex. Give prob of sequence oxae.
1/990
Two letters picked without replacement from zkpguhp. What is prob of sequence kp?
1/21
What is prob of sequence be when two letters picked without replacement from {q: 4, d: 2, b: 3, e: 10}?
5/57
Calculate prob of sequence ny when two letters picked without replacement from {y: 5, n: 2, s: 4}.
1/11
What is prob of sequence sgs when three letters picked without replacement from {s: 4, g: 16}?
8/285
Calculate prob of sequence ppkk when four letters picked without replacement from {p: 2, k: 7}.
1/36
What is prob of sequence conr when four letters picked without replacement from ncccaorrcnrsc?
1/572
What is prob of sequence rz when two letters picked without replacement from rzr?
1/3
Calculate prob of sequence qsq when three letters picked without replacement from {q: 7, s: 1}.
1/8
Three letters picked without replacement from iiijiijijjiiijiiiii. What is prob of sequence jii?
455/2907
Calculate prob of sequence tv when two letters picked without replacement from dkkvtkkv.
1/28
Calculate prob of sequence hd when two letters picked without replacement from hhddhhhhhhdbhhdddh.
11/51
Three letters picked without replacement from {o: 5, s: 3, n: 3, f: 4, l: 4}. What is prob of sequence llf?
8/969
What is prob of sequence yyse when four letters picked without replacement from ttysyett?
1/840
Four letters picked without replacement from {p: 8, n: 2, f: 2, z: 7}. Give prob of sequence npfn.
1/2907
Calculate prob of sequence yuye when four letters picked without replacement from yuyuyuuyyuuyeuuuyuu.
77/15504
Two letters picked without replacement from {n: 18, e: 1}. Give prob of sequence ne.
1/19
Calculate prob of sequence vv when two letters picked without replacement from vbvbbbvvvhb.
2/11
Calculate prob of sequence cgdd when four letters picked without replacement from dqcqwqwdwdg.
1/1320
Calculate prob of sequence hh when two letters picked without replacement from {h: 3, p: 5, j: 4, f: 1}.
1/26
Two letters picked without replacement from {j: 1, v: 1, g: 2, b: 1, s: 1, k: 1}. Give prob of sequence vg.
1/21
Three letters picked without replacement from {n: 1, g: 4, d: 1, f: 2}. What is prob of sequence ndg?
1/84
What is prob of sequence ffg when three letters picked without replacement from {g: 1, p: 2, f: 11}?
55/1092
Three letters picked without replacement from {g: 8, u: 1, w: 2, m: 3, h: 4, j: 2}. Give prob of sequence whj.
2/855
Calculate prob of sequence aa when two letters picked without replacement from {l: 5, a: 3, w: 5}.
1/26
What is prob of sequence swoo when four letters picked without replacement from hhoohwsfqff?
1/3960
What is prob of sequence tteu when four letters picked without replacement from {e: 1, x: 1, t: 2, u: 1}?
1/60
What is prob of sequence aaf when three letters picked without replacement from saf?
0
Four letters picked without replacement from nqqrnrnonrqnqnr. What is prob of sequence rrrr?
1/1365
Two letters picked without replacement from ojroooroeroj. What is prob of sequence jj?
1/66
Calculate prob of sequence so when two letters picked without replacement from {o: 12, s: 6}.
4/17
Calculate prob of sequence hunn when four letters picked without replacement from nuhunnnhh.
1/42
What is prob of sequence ppkz when four letters picked without replacement from pzbbzkczzzzbzppzpz?
1/680
What is prob of sequence le when two letters picked without replacement from gwweel?
1/15
Four letters picked without replacement from {r: 2, m: 2, q: 4}. Give prob of sequence mqrq.
1/35
Calculate prob of sequence iiii when four letters picked without replacement from iiiii.
1
Calculate prob of sequence qqq when three letters picked without replacement from {q: 7}.
1
What is prob of sequence tt when two letters picked without replacement from tttttttttt?
1
What is prob of sequence zf when two letters picked without replacement from krryrrzkkkfmzf?
2/91
Two letters picked without replacement from {z: 2, n: 1, u: 6, x: 1, q: 8}. What is prob of sequence qx?
4/153
Calculate prob of sequence qor when three letters picked without replacement from {q: 1, r: 5, o: 5, u: 7}.
25/4896
What is prob of sequence jj when two letters picked without replacement from kkjjkkkkkjj?
6/55
Three letters picked without replacement from xuxxxuwuxuxuxuwxxu. What is prob of sequence wwx?
1/272
Calculate prob of sequence la when two letters picked without replacement from sllabaasblaalalsall.
49/342
What is prob of sequence fgv when three letters picked without replacement from oofjoovokofooggkof?
1/816
Four letters picked without replacement from {w: 1, h: 1, d: 1, b: 2, o: 1, r: 1}. Give prob of sequence odhb.
1/420
Calculate prob of sequence jljw when four letters picked without replacement from wjjwl.
1/30
Two letters picked without replacement from {s: 1, l: 3, b: 3, t: 3, d: 1}. Give prob of sequence tb.
9/110
Two letters picked without replace | {
"pile_set_name": "DM Mathematics"
} |
at is 11922 to the power of 1/3, to the nearest integer?
23
What is the square root of 2219 to the nearest integer?
47
What is the cube root of 6710 to the nearest integer?
19
What is 5005 to the power of 1/3, to the nearest integer?
17
What is the cube root of 6420 to the nearest integer?
19
What is the third root of 2466 to the nearest integer?
14
What is the third root of 3991 to the nearest integer?
16
What is 52828 to the power of 1/2, to the nearest integer?
230
What is 44717 to the power of 1/3, to the nearest integer?
35
What is the eighth root of 3712 to the nearest integer?
3
What is the third root of 3118 to the nearest integer?
15
What is the sixth root of 2963 to the nearest integer?
4
What is the seventh root of 34717 to the nearest integer?
4
What is the third root of 1676 to the nearest integer?
12
What is the third root of 28250 to the nearest integer?
30
What is the third root of 28175 to the nearest integer?
30
What is the square root of 24498 to the nearest integer?
157
What is 489 to the power of 1/2, to the nearest integer?
22
What is the sixth root of 32529 to the nearest integer?
6
What is the third root of 73921 to the nearest integer?
42
What is the third root of 3938 to the nearest integer?
16
What is the square root of 12052 to the nearest integer?
110
What is 11023 to the power of 1/3, to the nearest integer?
22
What is the square root of 19604 to the nearest integer?
140
What is the fifth root of 2723 to the nearest integer?
5
What is 9456 to the power of 1/3, to the nearest integer?
21
What is the cube root of 812 to the nearest integer?
9
What is the sixth root of 4 to the nearest integer?
1
What is the ninth root of 23534 to the nearest integer?
3
What is the seventh root of 3468 to the nearest integer?
3
What is 153918 to the power of 1/5, to the nearest integer?
11
What is 19595 to the power of 1/9, to the nearest integer?
3
What is 626 to the power of 1/3, to the nearest integer?
9
What is 5225 to the power of 1/2, to the nearest integer?
72
What is the square root of 60490 to the nearest integer?
246
What is 10168 to the power of 1/2, to the nearest integer?
101
What is 637 to the power of 1/9, to the nearest integer?
2
What is the square root of 11999 to the nearest integer?
110
What is the cube root of 771 to the nearest integer?
9
What is 835 to the power of 1/2, to the nearest integer?
29
What is 41194 to the power of 1/9, to the nearest integer?
3
What is the seventh root of 270 to the nearest integer?
2
What is the third root of 20757 to the nearest integer?
27
What is the ninth root of 92523 to the nearest integer?
4
What is the square root of 46138 to the nearest integer?
215
What is 2178 to the power of 1/3, to the nearest integer?
13
What is the fifth root of 2944 to the nearest integer?
5
What is 47130 to the power of 1/3, to the nearest integer?
36
What is 5717 to the power of 1/5, to the nearest integer?
6
What is the square root of 717 to the nearest integer?
27
What is 15005 to the power of 1/5, to the nearest integer?
7
What is 44231 to the power of 1/10, to the nearest integer?
3
What is the square root of 535 to the nearest integer?
23
What is the seventh root of 33567 to the nearest integer?
4
What is the cube root of 561 to the nearest integer?
8
What is the ninth root of 3036 to the nearest integer?
2
What is the square root of 81 to the nearest integer?
9
What is the tenth root of 1271 to the nearest integer?
2
What is the square root of 8869 to the nearest integer?
94
What is 1751 to the power of 1/2, to the nearest integer?
42
What is the third root of 3193 to the nearest integer?
15
What is 3742 to the power of 1/3, to the nearest integer?
16
What is the cube root of 3089 to the nearest integer?
15
What is 501 to the power of 1/3, to the nearest integer?
8
What is the square root of 2516 to the nearest integer?
50
What is the square root of 19469 to the nearest integer?
140
What is 8458 to the power of 1/2, to the nearest integer?
92
What is 14548 to the power of 1/2, to the nearest integer?
121
What is 77199 to the power of 1/7, to the nearest integer?
5
What is the third root of 5520 to the nearest integer?
18
What is the sixth root of 20798 to the nearest integer?
5
What is the cube root of 1982 to the nearest integer?
13
What is the ninth root of 32836 to the nearest integer?
3
What is the third root of 11491 to the nearest integer?
23
What is the seventh root of 1439 to the nearest integer?
3
What is the fourth root of 5911 to the nearest integer?
9
What is the tenth root of 1879 to the nearest integer?
2
What is 14239 to the power of 1/9, to the nearest integer?
3
What is 87911 to the power of 1/3, to the nearest integer?
44
What is the third root of 203 to the nearest integer?
6
What is 707 to the power of 1/3, to the nearest integer?
9
What is the fifth root of 1245 to the nearest integer?
4
What is 8838 to the power of 1/2, to the nearest integer?
94
What is the square root of 6750 to the nearest integer?
82
What is the fifth root of 87 to the nearest integer?
2
What is the third root of 51569 to the nearest integer?
37
What is the cube root of 13324 to the nearest integer?
24
What is the sixth root of 309 to the nearest integer?
3
What is 34439 to the power of 1/9, to the nearest integer?
3
What is the square root of 1458 to the nearest integer?
38
What is 5413 to the power of 1/2, to the nearest integer?
74
What is 19173 to the power of 1/3, to the nearest integer?
27
What is 18404 to the power of 1/9, to the nearest integer?
3
What is 1095 to the power of 1/5, to the nearest integer?
4
What is the seventh root of 9647 to the nearest integer?
4
What is the third root of 2887 to the nearest integer?
14
What is the ninth root of 49824 to the nearest integer?
3
What is 33966 to the power of 1/2, to the nearest integer?
184
What is 7634 to the power of 1/6, to the nearest integer?
4
What is the square root of 7841 to the nearest integer?
89
What is 9779 to the power of 1/3, to the nearest integer?
21
What is 2710 to the power of 1/2, to the nearest integer?
52
What is 1303 to the power of 1/2, to the nearest integer?
36
What is 641 to the power of 1/8, to the nearest integer?
2
What is 723 to the power of 1/5, to the nearest integer?
4
What is the fifth root of 243 to the nearest integer?
3
What is the square root of 201468 to the nearest integer?
449
What is the square root of 47221 to the nearest integer?
217
What is 21553 to the power of 1/2, to the nearest integer?
147
What is 321 to the power of 1/8, to the nearest integer?
2
What is 1248 to the power of 1/8, to the nearest integer?
2
What is 11783 to the power of 1/7, to the nearest integer?
4
What is 49092 to the power of 1/3, to the nearest integer?
37
What is the third root of 76651 to the nearest integer?
42
What is the square root of 8142 to the nearest integer?
90
What is 3383 to the power of 1/2, to the nearest integer?
58
What is 443 to the power of 1/2, to the nearest integer?
21
What is 31575 to the power of 1/4, to the nearest integer?
13
What is the square root of 28722 to the nearest integer?
169
What is the square root of 14611 to the nearest integer?
121
What is 8641 to the power of 1/3, to the nearest integer?
21
What is the fourth root of 10049 to the nearest integer?
10
What is 115967 to the power of 1/4, to the nearest integer?
18
What is 61455 to the power of 1/2, to the nearest integer?
248
What is the third root of 20912 to the nearest integer?
28
What is 7547 to the power of 1/3, to the nearest integer?
20
What is the third root of 168426 to the nearest integer?
55
What is the eighth root of 3461 to the nearest integer?
3
What is 1042 to the power of 1/2, to the nearest integer?
32
What is 11726 to the power of 1/8, to the nearest integer?
3
What is the square root of 19547 to the nearest integer?
140
What is the square root of 5020 to the nearest integer?
71
What is 30679 to the power of 1/2, to the nearest integer?
175
What is 46894 to the power of 1/10, to the nearest integer?
3
What is 3203 to the power of 1/3, to the nearest integer?
15
What is the fourth root of 4215 to the nearest integer?
8
What is 48726 to the power of 1/10, to the nearest integer?
3
What is the third root of 4200 to | {
"pile_set_name": "DM Mathematics"
} |
/30 + 11*o**2. Let k(i) = 21*i. Determine m(k(g)).
-882*g**2
Let s(i) = -26*i. Let j(z) = -7*z**2 - 17*z. Give s(j(a)).
182*a**2 + 442*a
Let u(p) = -7*p**2 + 19*p**2 - 10*p**2. Let i(l) be the first derivative of -l**3/3 + 1. Determine u(i(c)).
2*c**4
Suppose 4*y = 3 + 5. Let z(p) = y*p + p - p. Let o(j) be the second derivative of j**3/3 - 4*j. What is z(o(f))?
4*f
Let n(d) = 3*d. Let u(g) = -579*g**2. Calculate u(n(z)).
-5211*z**2
Let k(h) = 3*h**2. Let b(y) = 55*y. Calculate b(k(o)).
165*o**2
Let t(z) = 10*z - 13*z + 3*z + z**2. Let p(n) = 4*n**2. Determine p(t(d)).
4*d**4
Let g(x) = -5*x**2. Let j(y) be the third derivative of -5*y**4/6 - 51*y**2. What is j(g(w))?
100*w**2
Let s(r) = 4*r**2. Let v(b) be the third derivative of b**6/360 - 5*b**4/24 - 4*b**2. Let a(u) be the second derivative of v(u). Give a(s(o)).
8*o**2
Let s(j) = 5*j**2 - 3. Let b(d) = 4*d**2 - 2. Let g(x) = 6*b(x) - 4*s(x). Let o(c) = 4*c - c - c. Calculate g(o(y)).
16*y**2
Let p(q) = 0 + 24*q**2 - 26*q**2 + 0. Let l(w) = -37*w**2. What is l(p(x))?
-148*x**4
Let c(k) = 3*k**2. Let g = -2 + 4. Let z(j) = j - j + g*j - 3*j. Calculate z(c(q)).
-3*q**2
Let g(r) be the third derivative of 13*r**4/24 - 12*r**2. Let o(l) = 2*l. Determine g(o(f)).
26*f
Let t(b) = -4 - b**2 + 4. Let v(o) = 7*o**2 + 6*o + 6. Let p(n) = -6*n**2 - 5*n - 5. Let q(m) = -6*p(m) - 5*v(m). What is t(q(r))?
-r**4
Let t(d) = 2*d**2 - 12*d. Let r(c) = 2*c**2. Determine t(r(x)).
8*x**4 - 24*x**2
Let m(k) = 9*k. Let w(n) = -11*n. Let o(c) = -155*c. Let l(r) = -6*o(r) + 85*w(r). Let t(b) = 5*l(b) + 3*m(b). Let j(q) = 8*q**2. Calculate t(j(a)).
16*a**2
Let b(n) = -202*n + 2. Let f(j) = -2*j**2. Calculate b(f(t)).
404*t**2 + 2
Let y(o) = 3*o. Let r(j) = -110*j - 107*j + 2*j**2 + 217*j. Give r(y(z)).
18*z**2
Let q(c) be the second derivative of c**4/2 - c. Let y(w) = w**2 - 11*w**2 + 5*w**2 + 4*w**2. Calculate q(y(d)).
6*d**4
Let u(d) = 27*d. Let p(f) be the third derivative of f**5/60 - 18*f**2. What is p(u(v))?
729*v**2
Let v(z) = -8*z. Let k(i) = -2*i. Let f(h) = 9*h + 6. Let b(g) = 19*g + 13. Let p(s) = -6*b(s) + 13*f(s). Let x(c) = 10*k(c) + 6*p(c). Give x(v(t)).
16*t
Let z(i) = -12*i - 6*i**2 + 12*i. Let n(t) = -t**2. Calculate z(n(d)).
-6*d**4
Let u(i) = -2*i**2. Let f(s) = 593*s**2. Determine u(f(h)).
-703298*h**4
Let x(m) = 0*m**2 + 5*m**2 - 3*m**2. Let a(i) = -i**2 + 5*i - 4. Let t be a(3). Let o(c) = -t*c - 2*c + 2*c. What is o(x(l))?
-4*l**2
Let q(m) = -3*m. Let a(s) = -29*s + 6. Determine a(q(y)).
87*y + 6
Let s(c) = 6*c + 5*c + 4*c - 3 - 6*c. Let h(a) = 3*a. Give s(h(k)).
27*k - 3
Let x(t) = -2*t**2. Let l(s) = 1. Let z(n) = 7*n + 3. Let f(y) = -6*l(y) + 2*z(y). Give f(x(q)).
-28*q**2
Let t(x) = -2*x**2. Let g(v) = 3*v**2 + v. Let a be g(-1). Let p(h) = -9 - 3*h**a + 9. What is t(p(o))?
-18*o**4
Let w(r) = -9*r. Let k(u) be the first derivative of 5*u**3/3 - 20. Give k(w(n)).
405*n**2
Let v(t) = 2*t**2. Let b(n) = n**2. Suppose 52 = 4*h - 4*s, 5*h - 31 = 3*h + s. Let f(k) = -21*k**2. Let q(r) = h*b(r) + f(r). Determine q(v(z)).
-12*z**4
Let r(l) = 3*l - 6*l - 5*l. Let k(g) be the third derivative of g**2 + 0 + 0*g**3 + 1/24*g**4 + 0*g. Calculate k(r(j)).
-8*j
Let g(j) = j**2 - 32 + 32. Let c(z) = -8*z**2. Determine c(g(w)).
-8*w**4
Let v = 10 + -1. Suppose 1 + v = 5*r. Let p(w) = -2 + r - 11*w**2 + 13*w**2. Let b(n) = -2*n. Give p(b(u)).
8*u**2
Let x(v) be the first derivative of -v**2 - 11. Let z(r) = 25*r**2. Give x(z(c)).
-50*c**2
Let t be 21/(-6)*24/(-4). Let h(x) = -2*x + x + 21 - t. Let c(m) = 14*m. Calculate c(h(g)).
-14*g
Let c(b) be the first derivative of -5 + 0*b - 2/3*b**3 + 0*b**2. Let s(g) = -3*g**2 - 3*g**2 + 5*g**2. Give s(c(z)).
-4*z**4
Let x(l) = 52*l. Let g(f) = -f**2. Give x(g(i)).
-52*i**2
Let j(f) = f**2. Let a(o) = -14*o**2 - 14*o**2 + 25*o**2. What is a(j(t))?
-3*t**4
Let o(d) = 2*d - d + d. Let c(n) = n**2 + 10*n + 11. Let s be c(-9). Let p(a) = -s*a**2 + 3*a**2 + 2*a**2 - a**2. What is p(o(x))?
8*x**2
Suppose 0*w + 14 = 3*j + 2*w, 3*w - 6 = 3*j. Let r(a) be the second derivative of 0*a**j + 0 - a + 1/2*a**3. Let d(i) = i. Determine d(r(v)).
3*v
Let w(i) = 9*i - 6. Let v(u) = -u + 0 + 2*u - 1. Let m(b) = -6*v(b) + w(b). Let p(d) be the first derivative of -d**2/2 + 18. Calculate m(p(h)).
-3*h
Let x(v) = -8*v. Let r(h) = 8*h. Give r(x(p)).
-64*p
Let h(n) be the third derivative of n**5/20 + 15*n**2. Let y(r) = 2*r. Determine y(h(d)).
6*d**2
Let k(p) = -44*p. Let s(r) = -4*r**2 + 5*r - 5. Let f(i) = -5*i**2 + 6*i - 6. Let q(w) = 5*f(w) - 6*s(w). Give k(q(d)).
44*d**2
Let j(t) = 1. Let f(c) = -c**2 + 3. Let u(w) = f(w) - 3*j(w). Let m(r) = 27*r**2. Give u(m(n)).
-729*n**4
Let l(w) = -2*w + 190. Let x(q) = q. Give l(x(f)).
-2*f + 190
Let j(p) = p. Let b(i) = i. Let h(m) = 4*b(m) - 2*j(m). Let s(o) = -4*o. Calculate h(s(d)).
-8*d
Let h(d) = -d. Let z(w) = 31 - 31 - 3*w**2. Calculate z(h(j)).
-3*j**2
Let u(j) = 5*j**2 - 4*j. Let n(b) be the third derivative of b**5/60 - b**4/24 - 4*b**2. Let d(z) = -4*n(z) + u(z). Let k(a) = 3*a**2. What is d(k(o))?
9*o**4
Let i(c) = 186*c**2. Let j(f) = 2*f. What is j(i(t))?
372*t**2
Let j = -6 - -8. Let s(c) = 2*c + c**2 - j*c. Let p(q) = -3*q. Give s(p(g)).
9*g**2
Let o(l) = l**2 - 2*l. Let z(d) = -d**2 + d. Let v(h) = 3*o(h) + 6*z(h). Let n(m) = -48*m + m**2 + 48*m. Give n(v(p)).
9*p**4
Let q(v) = v. Let h(m) be the second derivative of 0 + 0*m**2 + 0*m**3 + 1/6*m**4 + 3*m. Calculate h(q(i)).
2*i**2
Let j(t) = 11*t**2. Let f(x) = -6932 + 6932 - 7*x. Determine j(f(z)).
539*z**2
Let h(d) = 2*d**2 - 507. Let s(i) = -3*i**2. Determine h(s(m)).
18*m**4 - 507
Let l(f) = -2*f**2. Let v(m) be the third derivative of 0*m**3 + 0*m**4 - 1/20*m**5 + 0*m - 4*m**2 + 0. What is v(l(q))?
-12*q**4
Let j(s) = -9*s. Let d(g) = 231*g. Determine d(j(t)).
-2079*t
Let y(u) = -5*u. Let s(k) = -204*k. What is s(y(t))?
1020*t
Let b(c) = 374*c. Let m(y) = -3*y**2. Determine b(m(a)).
-1122*a**2
Let b(q) = -40*q. Let o(c) = -c. Let h(w) = 2*b(w) - 72*o(w). Let u(k) = 2*k**2. What is h(u(g))?
-16*g**2
Let s(f) = 2*f. Let j(q) be the third derivative of -q**6/360 + 5*q**4/24 - 2*q**2. Let u(o) be the second derivative of j(o). What is s(u(g))?
-4*g
Let a(d) = -3*d - 27. Let b(t) = t. What is a(b(f))?
-3*f - 27
Let h(a) = 0*a**2 + 0*a**2 - a**2. Let z(c) = 38*c**2 + 39*c**2 - 82*c**2. What is z(h(r))?
-5*r**4
Let t(s) = 10*s - 281. Let j(m) = m**2. Give j(t(f)).
100*f**2 - 5620*f + 78961
Let c(y) = y. Let v be 1/2*(3 + 1). Let p(q) = 2*q**2 - 7*q**2 + 3*q**v + q**2. Determine c(p(m)).
-m**2
Let b(m) = 2*m**2. Suppose 30 = -0*c + 5*c. Let v be (-3 - c/(-3))*-2. Let s(d) = -d**2 - 3*d**v - d**2. Give b(s(q)).
50*q**4
Let t(m) = m**2 - 8. Let c(r) = 96*r**2. Calculate t(c(b)).
9216*b**4 - 8
Let a(q) be the second derivative of -q**4/6 + 7*q. Let j(f) = 5*f. Determine j(a(v)).
-10*v**2
Let l(y) = -17*y + 3*y + 10*y. Let d(p) = -3*p. What is l(d(u))?
12*u
Let k(c) = 4*c**2. Let b(s) = 924*s. Calculate k(b(f)).
3415104*f**2
Let l(j) = -4*j - 12 + 4 + 8. Let k(x) be the second derivative of x**5/60 + x**3/6 + x. Let g(d) be the second derivative of k(d). Calculate g(l(i)).
-8*i
Let s(k) = -72*k. Let p(y) = -7*y**2. Determine p(s(o)).
-36288*o**2
Let z(q) = 2*q**2 - 76*q. Let i(u) = u. Calculate i(z(r)).
2*r**2 - 76*r
Let d(j) = -j - 5*j + 2*j + 2*j. Let o(f) = 2*f. Determine d(o(b)).
-4*b
Let r(o) = 24*o**2. Let z be r(1). Let l(s) = -9*s**2 - 5*s + 5. Let i(x) = 44*x**2 + 24*x - 24. Let d(t) = z*l(t) + 5*i(t). Let a(w) = 2*w**2. Give a(d(c)).
32*c**4
Suppose -n = 5*b + 7 - 29, 0 = -3*n - 9. Let o(s) = -b*s**2 + 0*s**2 + 3*s**2. Let a(f) = f. Calculate a(o(r)).
-2*r**2
Let z(r) = r**2. Let j(i) = 2*i - 2719. Give j(z(n)).
2*n**2 - 2719
Suppose 0 = -4*v - 1 + 5. Let a(j) = -4*j + 4 - v - 3. Let m(o) = o**2. Give a(m(y)).
-4*y**2
Let g(k) = -9*k + 2. Let j(o) = 37*o - 9. Let d(w) = 9*g(w) + 2*j(w). Let t(n) = n**2. Give t(d(h)).
49*h**2
Let l(q) = 6*q**2. Let v(t) = -t**2. Let u(n) = -l(n) - 5*v(n). Let g(z) = -4*z**2. Calculate g(u(h)).
-4*h**4
Let x(i) = 4*i**2. Let k(m) = 2*m - m + 4*m - 4*m. Let b(g) = 1. Let a(z) = -z - 2. Let p(j) = a(j) + 2*b(j). Let v(n) = -k(n) - 2*p(n). Determine x(v(h)).
4*h**2
Let j(r) = 0*r**2 + r**2 - 2*r**2. Let b(z) be the first derivative of -z* | {
"pile_set_name": "DM Mathematics"
} |
value? (a) k (b) 5 (c) 0.4 (d) 2
d
Suppose -u + 5*f = 14, 0 = 3*f - 6 - 0. Let p = -4.02 + -0.18. Let j = p + 4.6. Which is the third smallest value? (a) u (b) 2/19 (c) j
c
Let z be 6/33 + 3/(-429)*4. Let h = 49/65 - z. Suppose -t - 2*u = 23, -4*t + 0*u - 5*u - 92 = 0. What is the biggest value in 5, t, h?
5
Suppose 5*p - 5*q + 53 = 3, -p = 2*q - 5. Let g = 725 + -726. Which is the second biggest value? (a) 0.13 (b) -0.1 (c) p (d) g
b
Let i = 0.07 + -0.47. Let x = 0.64 + -0.74. What is the third biggest value in i, 3/7, x?
i
Let k be ((-11)/(-2) + -3)*(-4)/(-5). Let x = -0.2 - -0.5. Let q = x + -0.7. What is the third smallest value in q, -3/4, k?
k
Suppose 0 = 4*i - 2*g - 26, 3*g = 2*g - 1. Let s be (i/(-28))/(2/(-4)). Which is the biggest value? (a) 1 (b) -0.2 (c) s
a
Let w = 2.325 + -1.9. Let t = 0.025 - w. What is the third smallest value in 2, t, -1/5?
2
Let n = 13 + -4. Let g = n + -4. Which is the second smallest value? (a) g (b) -1/5 (c) -4
b
Let w(v) = 5*v**2 - 110*v - 3. Let f be w(22). What is the second smallest value in 5, f, -5?
f
Let f = 236 + -236.06. Let v = 1.8 - 3.8. What is the second biggest value in -3, f, v?
v
Suppose -4*t = k, 5*k + t = -t + 18. Let y = 3.4 - 1.6. Let g = y - 2.1. Which is the third biggest value? (a) g (b) k (c) -2/7
a
Let q = -0.112 + -88.888. Let o = 84 + q. Which is the second biggest value? (a) 0.3 (b) o (c) -2
c
Let y = 101 - 100.96. What is the smallest value in -0.47, y, -2/3?
-2/3
Let l = -4.27 + 2.27. Which is the biggest value? (a) 1 (b) 6 (c) l (d) 4/5
b
Let j = 408 - 404. Which is the second smallest value? (a) j (b) 40 (c) 0.1
a
Let n = -8459236/207 - -40866. Let w = n - 8/23. What is the second smallest value in w, 0, -1/2?
w
Let u be ((6 - 4) + -3)*-1. Let w be 5/(-20)*(1 + u). What is the second smallest value in 2, w, 1/2?
1/2
Let u = -570.46 - -564. Let j = u - -7. Let z = j - 0.04. What is the second smallest value in z, 1/9, 5?
z
Let k = -0.3 - 0.1. Suppose -10*z - 5 = -11*z + 2*z. What is the second smallest value in 2/5, k, z, 4?
k
Let s be 19/(-4) - (-12)/16. What is the biggest value in 2/5, s, -0.54?
2/5
Suppose 77 = -3*v - 82. What is the third biggest value in 5, 0, v, -3?
-3
Let z = -3 - -2. Let r be 2/(-16) + 195/312. What is the second biggest value in -3, 6/5, r, z?
r
Let i be (-4)/(-7)*(-252)/(-1080). What is the third smallest value in 4, i, 2, 5?
4
Let t = 15.13 + -15. Let v = -0.2 + t. Let j = v - -0.07. What is the biggest value in 0.4, 1, j?
1
Suppose -f - 4*r - 3 = 20, 4*f = 4*r - 32. Which is the smallest value? (a) -6/7 (b) 5 (c) f (d) 0
c
Let m = -375.3 - -375. Let h = 0 - 3. Which is the biggest value? (a) 3/7 (b) m (c) h
a
Let n(b) = -5*b + 6. Let v be n(-5). Let d = 31 - v. What is the second smallest value in -0.2, -7, d?
-0.2
Let i = 0.11 - -3.89. Let q be (-1859)/(-338) - 2/(-4)*-1. Which is the biggest value? (a) i (b) 2/3 (c) q (d) -0.3
c
Let x = -2.97 + 3. Let m = x - -1.97. Let d = -361 + 360.7. What is the third biggest value in d, m, 0.1?
d
Let p(t) = t**3 + 4*t**2 + 5*t + 4. Let o be p(-3). Let j = 0.12 - 0.52. Let f = -0.6 + j. Which is the smallest value? (a) o (b) -8 (c) f
b
Suppose -r + 7 = m, -5*m - 4*r + 29 = -2*r. Let u = m + -6. Let t be (0/(-7))/(1/u). What is the biggest value in 1/4, t, -2?
1/4
Let z = -240 + 238.4. What is the second smallest value in -4, z, -2, 1/8?
-2
Suppose 0*v = 5*v - 60. Let k be ((-8)/v)/(4/(-9)). Let t = -190 - -1332/7. Which is the second smallest value? (a) k (b) 1/3 (c) t
b
Let l = -7 - -10. Let t = 106 + -2440/23. Let g be -2 + ((-16)/(-12) - 0). Which is the second smallest value? (a) g (b) t (c) l
b
Let s = 59 + -5. Let w = s + -57. What is the second biggest value in 0, w, 27?
0
Let t = -11.83 + 14.56. Which is the biggest value? (a) t (b) 1 (c) -2
a
Let d = -7680/23 - -334. Let u = 0 - -3. Let i be -1 - -1*(u + -1). Which is the third biggest value? (a) -1 (b) i (c) d
a
Suppose 10 = -2*y, 22 = 5*d - 2*y + 2. Let p be (1 + 52/(-40))*d - -1. What is the second smallest value in -1, -1.5, p?
-1
Let k = 127030622497987/741718638444 + 7/330092852. Let o = -46/2247 - k. Let z = 171 + o. Which is the second smallest value? (a) 0.5 (b) -0.2 (c) z
b
Suppose -o + 5*w = -0*o + 24, 0 = -4*o - 5*w + 29. Let a = -0.2 + -0.02. Let v = -0.08 + a. What is the biggest value in o, 3, v?
3
Let w = -71.9 - -75. Let d = -0.1 + w. Let m = -0.5 - 1.5. Which is the second smallest value? (a) m (b) d (c) 5
b
Let j = 9/16 + 243/16. Suppose d - 11 - 5 = 0. Let r = d - j. Which is the second smallest value? (a) -1/2 (b) -2 (c) r
a
Let u = -0.1769 + -0.8231. What is the second biggest value in 5, -67, u?
u
Let a = 304 + -1215/4. What is the biggest value in 0.1, 0.05, a, -4?
a
Let p = -44 + 48. Let o = 2.5 - 2.3. Which is the smallest value? (a) -4 (b) p (c) o
a
Let p = -2.85 - -3.15. What is the fourth biggest value in p, 5, -1/5, 3/20?
-1/5
Let v = -163/435 + 7/29. Which is the smallest value? (a) 4 (b) v (c) -214
c
Let v be (-108)/(-270)*(-3)/(6/(-4)). Which is the third smallest value? (a) 0.2 (b) -2/11 (c) v (d) 0.05
a
Let d = 102.63 + -103. Let k = 3.37 + d. What is the third smallest value in 5, 2/9, -2, k?
k
Let i = -1577/25 + 63. Which is the second smallest value? (a) 1/4 (b) -13/15 (c) i
c
Let i = -0.921 + 1.321. Which is the second biggest value? (a) -5 (b) i (c) -0.69
c
Let i = -2529 + 2531.8. What is the third biggest value in i, -1, -3, 2/7?
-1
Let n = -0.088 - 0.012. What is the smallest value in -2, n, -4/7, -2/9?
-2
Let t be ((1 - 4)/(-3))/(42/28). Let g = -0.05 - -0.55. What is the fourth biggest value in -8, -0.5, g, t?
-8
Let b be (-1)/(-2) + 0/(-3). Let r be 108/1053*(-3)/(-2). What is the second biggest value in 7, r, -1/10, b?
b
Suppose -123 = -4*s + 85. Let a = s + -57. What is the smallest value in 2/9, a, -0.1?
a
Let f = 11/3 + -13/6. Let t(q) = -q**3 + 5*q**2 + 15*q - 58. Let z be t(3). Which is the smallest value? (a) -2.8 (b) f (c) z
a
Let a = -1956.92 + 1957. What is the third biggest value in a, -0.5, -42?
-42
Suppose -7*r + 5*r = 0. Suppose 4*o = 3*g - 2*g + 11, g - 2*o + 3 = r. Which is the biggest value? (a) g (b) -1/5 (c) -1/4
a
Let a = -1.02 + 1. What is the second smallest value in a, -5, 23/2?
a
Let f = -10 - -10.3. Let m = -13 + 36. Let g = 19 - m. What is the biggest value in f, g, -1/7?
f
Let u(d) = d - 6. Let m(v) = v - 7. Let k(s) = 4*m(s) - 3*u(s). Let t be k(11). Let c be t + (10/(-3) - -2). What is the third smallest value in 1/3, c, -0.1?
1/3
Let g = -35 - -20. Let v = g + 14. Which is the second smallest value? (a) 5 (b) v (c) -3/7
c
Let h = 90.36 + -90.3. What is the biggest value in 0, -7, 5, h?
5
Let j = -38 + 73. Let k = -37 + j. Let t(u) = u**3 - 5*u**2 + 3*u + 5. Let s be t(4). Which is the biggest value? (a) -0.5 (b) k (c) s
c
Let u = -0.04926 - 3.99174. Let s = -0.041 - u. Let i = 8 + -3. What is the third smallest value in -4, s, i?
i
Let g = 6.22 - 0.22. Let h = g - 6. What is the third biggest value in -2/5, h, 0.04?
-2/5
Let n(i) = i**2 - 5*i - 4. Let r be n(6). Let v = 2 + -2.01. Let f = 1.01 + v. Which is the third biggest value? (a) 0.4 (b) f (c) r
a
Let n(b) = -7*b + 4. Let y(k) = -k**3 + 3*k**2 + 3*k + 5. Let l be y(4). Let v be n(l). What is the third smallest value in -0.5, -2/11, -1, v?
-0.5
Let d = 253 + -257. What is the second biggest value in 3.3, 0, d?
0
Let q = 1413 - 1432. What is the second biggest value in 2/9, q, 2, -0.3?
2/9
Let w = -27.25 - -23.25. Which is the third biggest value? (a) -3/5 (b) 13 (c) w
c
Let w = -4 + 2.9. Let t = w - -0.8. Let m(y) = -2*y**2 - 63*y + 40. Let d be m(-32). Which is the second smallest value? (a) d (b) t (c) -3/4
b
Let d be (28/(-6) - -4)/(70/210). Let c = -4514 + 18221/4. Let g = -41 + c. What is the second biggest value in 2, g, d?
g
Let i = -7 - -7.09. Let y = 1.09 - i. Let s = 1 - 1.3. Which is the biggest value? (a) s (b) y (c) 0
b
Let l = 0.2 - 0.6. Let y = l + -0.1. Let d be (-297)/(-315) - 8/(-10)*-1. Which is the third biggest value? (a) 2 (b) y (c) d
b
Let k = -132 + 144.2. Let y = -12 + k. Let u = -0.5 + 0.1. Which is the smallest value? (a) y (b) -3/2 (c) u
b
Let t(d) = 20*d + 35. Let m be t(-2). L | {
"pile_set_name": "DM Mathematics"
} |
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