text stringlengths 270 8.19k | meta dict |
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+ 2. Calculate j*c(l) + y*a(l).
-l - 1
Let o(j) = -118*j**2 + 22*j - 5. Let m(w) = -59*w**2 + 10*w - 2. Calculate 9*m(b) - 4*o(b).
-59*b**2 + 2*b + 2
Let z(y) = y**2 + 3*y - 1. Let g(q) = -q**2 - 2*q + 1. Give 3*g(m) + 4*z(m).
m**2 + 6*m - 1
Let s(z) = -7 + 0*z + 17*z - 7*z + 22*z. Let a(b) = -16*b + 4. Calculate -7*a(o) - 4*s(o).
-16*o
Let r(w) = -w**2 + w + 1. Let t(d) = -5*d**2 - 12*d - 5. Let k(y) = 3*y**2 + 11*y + 5. Let g(x) = 5*k(x) + 4*t(x). Determine -g(s) + 6*r(s).
-s**2 - s + 1
Let q(g) = -g**2 + g - 3. Let r(u) = -3*u**2 + 4*u - 4. Determine 2*q(n) - r(n).
n**2 - 2*n - 2
Let x(j) = -14*j - 10. Let b(a) be the second derivative of a**3/6 + a**2/2 + 7*a + 1. Determine 12*b(q) + x(q).
-2*q + 2
Let v(q) = 19*q**3 + 18*q**2 + 9*q - 20. Let l(o) = -5*o**3 - 4*o**2 - 2*o + 5. Calculate -9*l(d) - 2*v(d).
7*d**3 - 5
Let u(z) = -2*z**3 + 2*z**2 - z + 2. Let o = -162 - -164. Let y(h) = -4*h**3 + 5*h**2 - 3*h + 4. Let j be 1/((-3)/(-30)*-2). Calculate j*u(l) + o*y(l).
2*l**3 - l - 2
Let c(a) = 5*a - 1. Suppose 0 = i + 44 - 47. Let r(z) = -4*z + 1. Determine i*r(m) + 2*c(m).
-2*m + 1
Suppose -4*o - 7*d + 320 = -2*d, -284 = -4*o + 4*d. Let m = o + -74. Let i(v) = -v**3 + v**2. Let g(r) = 3*r**3 + r**2. Calculate m*g(l) + 2*i(l).
l**3 + 3*l**2
Let t(v) = -6*v**2 + 4 + 1 + 3. Let k(r) = 4*r**2 - 5. Let i be 10*(3 + -4)*1/2. Let o(a) = -a**3 + 7*a**2 - 6*a - 8. Let c be o(6). Determine c*k(n) + i*t(n).
-2*n**2
Let h(f) = -5*f**2 + 4*f - 1. Let v = 61 + -52. Let z = v - 12. Let d(q) = 6*q**2 - 5*q + 1. Give z*d(u) - 4*h(u).
2*u**2 - u + 1
Let f(i) = 3*i**3 - 2*i - 4. Let p(w) = -2*w**3 + 3*w + 5. Suppose 90*b - 12 = 96*b. Determine b*p(x) - 3*f(x).
-5*x**3 + 2
Suppose z - 4*s = 33, 0*s = -2*z + 3*s + 46. Let k(c) = 18*c**3 + 3*c**2 - 29*c**3 - 4 + z*c**3. Let w(o) = -5*o**3 - 2*o**2 + 3. Determine -3*k(i) - 4*w(i).
2*i**3 - i**2
Let q(w) = 24*w + 14. Suppose 125 = 5*y - 5*o, y = 5*o + 13 - 0. Let p(f) = -4*f + 13. Let a(z) = -3*z + 7. Let l(h) = -7*a(h) + 4*p(h). Give y*l(t) - 6*q(t).
-4*t
Let t(m) = -44*m - 3. Let x(r) = -86*r - 7. Calculate -7*t(j) + 3*x(j).
50*j
Let r(n) = n**3 - 2*n**2 - n - 1. Let i(c) = 7*c**3 + 12*c**2 + 7*c + 8. What is -i(v) - 6*r(v)?
-13*v**3 - v - 2
Let c(x) = -218*x**3 + 436*x**2 - 436*x. Let m(v) = v**3 - v**2 + v. Determine c(h) + 436*m(h).
218*h**3
Let m(f) = 9*f**2 - 18*f - 4. Let a(z) = -10*z**2 + 20*z + 5. Calculate 6*a(n) + 7*m(n).
3*n**2 - 6*n + 2
Let c(n) = -n**3 - 4*n. Let w(l) = l. Let b = -57 - -61. Suppose -b*o = 5*t + 21, 3*o - 8 = 3*t - 2*t. What is t*c(y) - 20*w(y)?
5*y**3
Let w(c) = -c**3 + 7*c + 11. Let r be -12 + 1 - (-4 - (11 + -10)). Let h(j) = j**3 - 6*j - 10. Determine r*w(m) - 7*h(m).
-m**3 + 4
Let y(o) = -7*o**2 - 6*o - 5. Let v(s) = -13*s**2 - 11*s - 10. Let m be (3 + -6)*(-1 - (3 + -2)). What is m*v(x) - 11*y(x)?
-x**2 - 5
Let m(t) = 108*t - 60. Let o(k) = 2. Give -m(z) - 30*o(z).
-108*z
Let c(p) be the second derivative of -p**4/12 - 2*p. Let a = 149 - 146. Let o(w) = -2*w**2 - w + 2. What is a*c(x) - o(x)?
-x**2 + x - 2
Let u(b) = -13*b**3 + 5*b - 5. Let z(w) be the third derivative of -19*w**6/60 + 7*w**4/12 - 7*w**3/3 + 15*w**2 + 12*w. Calculate -14*u(o) + 5*z(o).
-8*o**3
Let c(x) = 24*x**3 - 79*x**2 - x + 10. Let w(l) = -13*l**3 + 40*l**2 + l - 6. Calculate 3*c(t) + 5*w(t).
7*t**3 - 37*t**2 + 2*t
Let m(b) = -5*b**3 + 2*b**2. Let r = 173 + -171. Let u(f) = 81*f**3 - 33*f**2. What is r*u(i) + 33*m(i)?
-3*i**3
Suppose 250*o - 2 = 249*o. Let c(m) = m**2 + m. Let q(f) = f. Calculate o*c(v) - 3*q(v).
2*v**2 - v
Let i(n) = -13*n - 2. Suppose -3*a = 3, 5*p + 403 = 2*a + 1365. Let o(s) = 10*s + 193 - p - 3*s. Determine -6*i(f) - 11*o(f).
f + 1
Let x(o) = -15*o**3 + 7*o**2 - 7*o + 26. Let g(d) = -5*d**3 + 2*d**2 - 2*d + 8. What is -21*g(f) + 6*x(f)?
15*f**3 - 12
Suppose -5*n - 19 = 31. Let t be -2 + 0 - (n + 7). Let w(b) be the second derivative of b**3/6 + b**2/2 - 2*b. Let f(i) = -3*i - 2. What is t*f(c) + 4*w(c)?
c + 2
Let o(d) = -d**3 + d**2 + 5*d + 2. Let f(v) = v**2 + v + 1. Give -5*f(i) + o(i).
-i**3 - 4*i**2 - 3
Let n(b) be the second derivative of -b**5/10 - b**4/6 - b**3/3 - b**2 - 12*b - 1. Let z(a) = -2*a**3 - 3*a**2 - 2*a - 3. Determine 3*n(h) - 2*z(h).
-2*h**3 - 2*h
Suppose 0 = -2*r - 433 + 423. Let j(k) = 3*k**3 - 5*k**2 - 4*k + 5. Let z(g) = -10*g**3 + 16*g**2 + 12*g - 16. Calculate r*z(a) - 16*j(a).
2*a**3 + 4*a
Let g be 111/12 + (-5)/20. Let h be (-1 + -1)*(8 - g). Let a(j) = 0 - h*j**2 - 1 - 2*j - 3 + 5. Let u(d) = -d + 1. Give a(i) - u(i).
-2*i**2 - i
Let y(k) = -120*k + 975. Let m be y(8). Let x(g) = -g**3 - g**2 + g - 1. Let c(d) = -5*d**3 - 3*d**2 + 3*d - 3. Give m*x(o) - 5*c(o).
10*o**3
Let y(n) = -n**3 + 4*n + 4. Let h(u) = 6*u**3 - 21*u - 21. Let f(r) = -13*r - 64. Let b be f(-11). Suppose 5*i - 99 = -b. Give i*h(a) + 21*y(a).
3*a**3
Let c(k) = -13*k - 7. Let a(x) = 15*x + 8. Let l(u) = 6*a(u) + 7*c(u). Let t(r) = -30*r - 18. Calculate -18*l(n) + t(n).
-12*n
Let h(c) = 20*c**3 + 6*c - 23. Let z be 74/(-481) - 240/(-39). Let u(a) = 7*a**3 + 2*a - 8. Give z*h(b) - 17*u(b).
b**3 + 2*b - 2
Let n(u) = u**3 - 8*u**2 - 8*u - 7. Let a be n(9). Let m(o) = -9 + 3 + a*o - 5*o. Let d(r) = 8 + 5*r - r + 1 + 0. Give 5*d(b) + 7*m(b).
-b + 3
Let m(c) = -3 - 45*c - 2*c**2 + 41*c + 8 + 0. Let j(t) be the third derivative of t**4/24 - t**3/6 + 9*t**2. Calculate 5*j(z) + m(z).
-2*z**2 + z
Let l(q) = 21*q**2 - 7*q + 13. Let t(b) = 43*b**2 - 13*b + 24. Calculate -11*l(p) + 6*t(p).
27*p**2 - p + 1
Let q(m) = m**3 + 2*m**2 + m + 1. Let w(f) = 3*f**3 - 154*f**2 + 4*f + 4. Give -4*q(d) + w(d).
-d**3 - 162*d**2
Let k(q) = 4*q**2 - q + 1. Let j(t) = -20*t**2 - 2*t + 2. Let g(u) = -11*u**2 - u + 1. Let a(s) = -11*g(s) + 6*j(s). Determine a(h) - k(h).
-3*h**2
Let c(m) = 2*m**3 - m**2 + m - 1. Let g(t) = 5*t**3 + 28*t**2 + 4*t. Give 2*c(z) - g(z).
-z**3 - 30*z**2 - 2*z - 2
Let o(l) = -6*l**3 + 7*l**2 + 7*l + 6. Let j be ((2 - 1) + 3)*8. Let v(z) = 2 + z**3 + 31*z - 3 - j*z - z**2. Let m = 0 + 2. Calculate m*o(x) + 14*v(x).
2*x**3 - 2
Let i(g) = g. Let b(k) = -2*k + 6. Let d be b(3). Suppose -3*c + 7 + 5 = d. Let w(r) = 6*r. Let x(o) = c*w(o) - 21*i(o). Let h(q) = 10*q. Give 2*h(z) - 7*x(z).
-z
Let v(c) = 2*c**2. Let b(r) = r**3 - r**2 - 1. Let z(y) = -4*y**3 + 4*y**2 + 3. Let d(i) = 3*b(i) + z(i). Calculate 2*d(w) - v(w).
-2*w**3
Let s(w) = -6*w**3 - 2*w**2 - 5. Let f(y) = -18*y**3 - 7*y**2 - y - 13. What is -2*f(d) + 7*s(d)?
-6*d**3 + 2*d - 9
Let r(w) = w + 2. Let f(j) = j + 189. Calculate f(q) - 2*r(q).
-q + 185
Let h(s) = -s + 4. Suppose i - 3*i = -196. Let j = -95 + i. Let w(g) = g - 3. Give j*w(c) + 2*h(c).
c - 1
Let p(b) = -3*b**3 - 3*b**2 + 2. Let v(t) = -t**3 + 1. What is p(m) - v(m)?
-2*m**3 - 3*m**2 + 1
Let t(o) = -2*o**2 + 2*o + 9. Let n(f) = -2*f**2 + 2*f + 9. Calculate -4*n(q) + 5*t(q).
-2*q**2 + 2*q + 9
Suppose -p - 27 = -4*p. Let c(q) = -9*q**3 - 11*q + 8*q + p + 6*q. Let d(b) = -4*b**3 + b + 4. What is -3*c(t) + 7*d(t)?
-t**3 - 2*t + 1
Suppose -3*a + 7*n - 5 = 5*n, 2*a - n = -2. Let y(z) = -z**2 + z - 1. Let h(d) = 2*d**3 - 2*d**2 + d - 4. What is a*y(t) - h(t)?
-2*t**3 + t**2 + 3
Let i(c) be the second derivative of c**3 - 24*c. Let h(a) = -1. Let o(k) = 17*k - 17. Let d(r) = -17*h(r) + o(r). Let s = 12 - 1. Determine s*i(f) - 4*d(f).
-2*f
Let b(j) = 140505*j + 986. Let u(n) = -1993*n - 14. Determine 7*b(l) + 493*u(l).
986*l
Let b(u) = -201*u**3 + 3*u + 4. Let l(s) = 404*s**3 + s**2 - 6*s - 10. Calculate 5*b(j) + 2*l(j).
-197*j**3 + 2*j**2 + 3*j
Let i(s) = 11*s**2 - 6*s + 6. Let m = 261 + -448. Let a(o) = -341*o**2 + 187*o - 187. What is m*i(v) - 6*a(v)?
-11*v**2
Let s(y) = 8*y + 249*y**2 + 27*y**3 - 147*y**2 - 113*y**2. Let q(v) = 9*v**3 - 4*v**2 + 3*v. Calculate 8*q(j) - 3*s(j).
-9*j**3 + j**2
Let h(d) = -3*d**2 - 7*d + 4. Let c(y) = -2*y**2 - 6*y + 3. Suppose 96 = -28*z + 4*z. Determine z*h(g) + 5*c(g).
2*g**2 - 2*g - 1
Let f(r) = -23*r**2 - 11*r + 23. Suppose 0 = -2*l + 5*x + 22, -8*l = -12*l + 3*x + 30. Let n(i) = 8*i**2 + 4*i - 8. Calculate l*f(q) + 17*n(q).
-2*q**2 + 2*q + 2
Let o(g) = -5 - 49*g - 7 + 3 + 9. Let u(q) = -16*q. Calculate 2*o(j) - 7*u(j).
14*j
Let h(r) = -4*r**3 - 4*r**2 - 3*r - 3. Let s(x) = -8*x**3 - 9*x**2 - 7*x - 7. Give -5*h(z) + 2*s(z).
4*z**3 + 2*z**2 + z | {
"pile_set_name": "DM Mathematics"
} |
-3/4? (a) 2/7 (b) 6664 (c) -1 (d) -12 (e) 5
c
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a
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b
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b
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b
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d
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2
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b
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4
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-0.02
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-2/9
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c
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b
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7.9
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c
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0.3
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d
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-0.02795
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e
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2
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3/14
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2/13
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d
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d
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1/4
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0
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-2/9
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c
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a
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f
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-3/4
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a
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4
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e
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2
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1/198
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d
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c
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-1
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b
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1/6
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-0.5
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4/3
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-3/10
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c
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-1.601
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-0.2
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-0.2
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-0.2
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c
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b
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2
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c
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-21/61
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c
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a
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-0.5
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-4
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1.4
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-1/11
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a
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1.9
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c
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b
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c
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d
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2/9
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b
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-2/7
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a
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c
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a
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b
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d
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a
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-2/5
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0.12
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f
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-3.7
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-12
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0.6
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-0.3
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0
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e
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70
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-0.4
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d
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b
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-0.3
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c
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0.1
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-1/4
Which is the closest to -2/9? (a) -1 (b) -137 (c) 3 (d) 18 (e) -3 (f) -37
a
Which is the nearest to -0.1? (a) 4 (b) -0.3 (c) 0.5 (d) -29 (e) -643
b
What is the nearest to -6 in -110734, 21, 3?
3
What is the nearest to 1/4 in 18/19, 3, 1, -0.3, -569, 2/15?
2/15
What is the nearest to 1/8 in 4, 2/7, 14/9, -22/41, -1?
2/7
Which is the closest to -2/7? (a) 12/11 (b) 0.002 (c) -2/7 (d) 0 (e) 3
c
Which is the closest to -2/13? (a) 1 (b) -29 (c) 3/2 (d) 0.125
d
Which is the closest to 1/5? (a) 1/11 (b) -12 (c) 25 (d) -118 (e) -0.5
a
Which is the nearest to 11? (a) 3/7 (b) 0.1 (c) -1.3 (d) -3 (e) 0.1736
a
What is the closest to 0.1 in -0.05886, -1/218, 11?
-1/218
Which is the closest to 18? (a) 2/17 (b) -5/52 (c) 11
c
What is the nearest to -71 in 8, -3, -10942?
-3
Which is the closest to -2133? (a) 1/2 (b) 4 (c) -4 (d) -8 (e) -1
d
What is the nearest to 0.2 in 0.5, 0.1, -2/29, 1/7?
1/7
What is the nearest to 1 in 0.5, 4/7, -5, 0.15, -8?
4/7
What is the nearest to -30/127 in 3, -2, 36, -1/6?
-1/6
Which is the closest to -38? (a) 5 (b) -2/5 (c) 3/1976 (d) 4
b
What is the nearest to 162.8 in -6, -3, 1, -4?
1
Which is the nearest to -0.113? (a) -4 (b) -2 (c) -26388
b
What is the nearest to 77 in 660, -2, 0.2?
0.2
What is the nearest to -0.022 in 1, -7.4, 5, -5, 2/579?
2/579
Which is the nearest to -2? (a) -77 (b) 8/9 (c) -19.6
b
Which is the nearest to 97? (a) -2.3 (b) -10/3 (c) 0.02 (d) 4 (e) -2 (f) -0.1
d
What is the nearest to 12 in 467, -379, 6, 1/6?
6
What is the closest to 5.1 in -0.5, 0.4, -0.8, -0.0993?
0.4
Which is the closest to 435444? (a) 0.01 (b) -2/3 (c) -0.2
a
What is the nearest to 7 in 1/7, 5/8, -0.4844?
5/8
What is the nearest to -0.4 in -28, -2.8, -62, 3?
-2.8
What is the closest to -0.3 in -0.07, -0.1291, -0.429, -3/4?
-0.429
Which is the closest to -2? (a) -1/8 (b) -72 (c) -0.07 (d) 4678 (e) -0.3
e
Which is the nearest to -1? (a) 49/244 (b) 68 (c) 9
a
What is the nearest to 2/7 in -1, -51041, -1/21?
-1/21
Which is the closest to 0? (a) 24 (b) -0.13 (c) 4/5 (d) 1/3 (e) 163849 (f) 2/9
b
Which is the nearest to 540/29? (a) 4/9 (b) 1 (c) -3 (d) -2/85
b
What is the closest to 7 in 0.11, 0.02, 1985?
0.11
Which is the nearest to 2? (a) 3/4 (b) 11 (c) 14/170169
a
Which is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
be i(22). Which is the nearest to g? (a) 1/2 (b) -1/2 (c) 4
a
Let c be 3/63*-8*153/204. What is the closest to -22/7 in -3, 0.2, c, 5?
-3
Let n = 2/221 + 428/1547. Let x = -0.83 + 0.03. Let f = x + 0.3. Which is the closest to -1? (a) -0.1 (b) f (c) n
b
Let z = 14.41 - 9.41. Let u = 1 + -3. Let j = -56 + 954/17. Which is the nearest to u? (a) 2/7 (b) z (c) j
c
Let d = -55/2 - -27. Which is the closest to d? (a) -2/9 (b) 19 (c) -2/3
c
Let t be 24/(-50) - (-6)/15. Let b be ((-288)/(-160))/(9/(-15)). What is the closest to 2 in -1/5, t, b?
t
Let s be 1/2 - 13/22. Let j = -268 - -266. What is the closest to j in 1/5, -2/11, s?
-2/11
Let b be ((-2)/(-18))/((-1)/3). Let i = 0.3 + -0.3. What is the nearest to b in -5, -0.3, i?
-0.3
Let r = -25/2 + 12. Let o = -0.9 + 0.5. What is the closest to 3 in r, o, 3?
3
Let m = 0.1 + 0.3. Let n = 36 - 31. Which is the nearest to 2/5? (a) n (b) m (c) -0.1
b
Suppose -19*w = 22*w. Let k be (-4)/(-6) + 1/3. What is the closest to k in 3, -0.1, w?
w
Let k = -1.1 + 5.1. Let w = -5.23 - -8.23. Which is the closest to 0.1? (a) k (b) w (c) 1
c
Let o = -0.028 - 0.672. Let k = -2/53 + 269/106. Let f = 11/5 + -2. What is the nearest to o in 3, f, k?
f
Let t be -1 + (-1)/(22/(-18)). Suppose -9*h + 12 = -5*h. Let k = 2 - 3. What is the closest to k in h, 2/7, t?
t
Suppose -266*w + 264*w = -2. What is the closest to 0 in w, -0.4, 1/11, 9?
1/11
Let v = 2 + 2. Let z(u) = u - 2. Let s be z(13). Let n = s + -16. Which is the closest to -1? (a) v (b) 2 (c) n
b
Let j = 1.5 - 1.4. Let z = 1 + j. Let o = z + 0.9. Which is the nearest to o? (a) 1/11 (b) 1 (c) -1
b
Let q = 30.64 - 34.64. Let t = -2/33 + 13/33. Which is the closest to 1/4? (a) -1/9 (b) q (c) t
c
Let u be 0 - (3 + (-30)/9). Suppose -35 = 4*t - 3*k, 2 = -2*t + 3*k - 23. Which is the nearest to 1? (a) u (b) t (c) -2
a
Let u = -66 + 62. Let d be 36/14*2/(-6). Which is the nearest to -0.1? (a) d (b) u (c) 0.3
c
Let p = -677 + 676.8. Which is the closest to 2/5? (a) 12 (b) 1/10 (c) -3 (d) p
b
Let y be (-21)/7 + (-5)/1. Let u be y/(-60)*(-3 + (-18)/(-4)). What is the closest to 0 in 5, u, 3/7?
u
Let w = 324 - 321. Let o = 0.6 + -0.5. What is the closest to o in w, 0.2, 2/11?
2/11
Let u = -31888/681 + 36/227. Let v = 47 + u. Let b = -643/5 - -129. What is the nearest to b in v, 5, -1?
v
Let o(u) = 12*u + 84. Let z be o(-7). Which is the nearest to 6? (a) z (b) -4/3 (c) 1/4
c
Let h = -300 - -886/3. Let r = -80/21 - h. Let u = -170/13 - -168/13. Which is the nearest to 0? (a) 1/2 (b) r (c) u
c
Let d = 1.6 - 2. Let w be -2 + (20504/(-90) - 22/55). Let f = 230 + w. What is the closest to 1 in d, f, 5?
f
Let m = -59/40 + -1/40. Let s = 37.89 + -0.89. Let h = -37.5 + s. Which is the nearest to m? (a) -0.2 (b) h (c) 0.2
b
Let r be 0/3 - (-6)/24. What is the closest to -2/19 in 4, r, -2/3?
r
Let q = 20.48 + -20.28. What is the closest to 1/2 in -2, 2, q?
q
Let h(i) = i**3 + 6*i**2 + 7*i + 4. Let q be h(-4). Let w be (-2 - q/28) + 2. Let k = -0.01 - -0.11. Which is the closest to k? (a) -1/6 (b) w (c) 2/5
a
Let d be ((-19)/16)/((-25)/20 - -1). What is the nearest to -0.1 in -0.2, 0.2, d?
-0.2
Let k(d) = d**2 + 4. Let o be k(0). Suppose -z - 2*r + 5 + o = 0, -3*z - 3*r = -15. Let l be 1*(2/z - 2). Which is the closest to l? (a) -2 (b) -1/2 (c) -5
b
Let a = -49.49 - -0.99. Let p = a + 49. Let u be (2 - (-2)/(-1))/(-1). What is the nearest to u in p, 3/10, 4/5?
3/10
Let v = 2.066 - 2.48. Let k = -0.014 - v. Which is the nearest to -2/3? (a) 4 (b) k (c) -3/5
c
Let p = -34/21 + 9/7. Let r = 19 + -40. Let t = r + 190/9. Which is the closest to -2? (a) -0.3 (b) t (c) p
c
Let w = 51.4 + -49.4. What is the closest to 1/2 in w, -6/11, -3/2, -0.4?
-0.4
Let y = -0.65 + 0.75. Let t = -86 - -82. What is the closest to 2/7 in y, t, 4/5?
y
Let t = -935/3 - -311. Which is the closest to t? (a) 0.1 (b) -1 (c) 1/5 (d) 0.05
b
Let q be 2 - (8/4 + -4 - -4). Which is the closest to -1/4? (a) 1/24 (b) q (c) 0.3
b
Let g = 0.0799 - -0.4201. Which is the nearest to -1/11? (a) 5 (b) 4/3 (c) g (d) 2/9
d
Let f = 402.7 + -403. What is the closest to -2/15 in -2, f, -5?
f
Suppose -3*h + 69 = -93. Let w be 10/h*(-12)/30. Let s = 32/297 - w. What is the nearest to 1/3 in -0.2, s, -0.4?
s
Let y = 3 - 8. Let t = -2 - y. Let i = 13/119 - -3/17. Which is the closest to i? (a) -5 (b) t (c) -0.1
c
Suppose 21*r - 51 = 4*r. Which is the closest to 12? (a) r (b) -0.1 (c) -2
a
Suppose 3*z + 0*z = -15. Let t be (-8)/z + (-13 - -12). Let h = -1 + 1.1. Which is the closest to h? (a) -0.1 (b) t (c) -5
a
Let i be ((-4)/(-6) - 1)*-6. What is the closest to -2/5 in i, 1, -1?
-1
Let g be 2/5*(-50)/120. What is the nearest to 4 in -1, -44, g?
g
Let k = -0.697 - -28.797. Let y = 28 - k. What is the closest to -1 in -0.2, 0, y?
-0.2
Let f = -496 + 2477/5. Suppose -2*c - 1 = 1. What is the nearest to 2/3 in c, f, -3?
f
Let t = -42 - -42. Which is the nearest to t? (a) 0 (b) 20 (c) -5
a
Let m = -43.003 + 0.003. What is the nearest to 1 in 0.5, m, -2?
0.5
Let u be (-8 - -9)/(1/5). Let h = -305 + 300. Which is the nearest to 1/2? (a) u (b) h (c) -3/7
c
Let i = 4244/7 + -606. What is the closest to 7/4 in -2/5, i, 0.4?
0.4
Let o = -76.4 - -62. Let k = -14.7 - o. Let t = -4 + 6. Which is the closest to 1? (a) k (b) 1 (c) t
b
Suppose 5*j - 116 = -106. Which is the closest to 7? (a) -0.2 (b) 0.2 (c) j
c
Let s = -2539 + 2538. Let l = 41/3 + -13. Which is the closest to l? (a) s (b) -3 (c) -0.3
c
Let m(n) be the second derivative of -n**3/6 - 11*n**2/2 + 16*n. Let r be m(-12). What is the nearest to 2/9 in r, -0.4, 4/5?
4/5
Let s = 224.4 + -224.4. What is the closest to s in -4/7, 8, 2, 0.14?
0.14
Let w = 1 - 1.2. Suppose 3*n + 103 + 104 = 0. Let o be (-3)/(n/(-6) - 1). Which is the nearest to w? (a) -5 (b) 0 (c) o
c
Let w = -4.6 - -0.6. Let i = -2.931 - 0.069. What is the nearest to 1 in i, 1, w?
1
Let q(l) = l**2 - 30*l + 192. Let t be q(9). Which is the closest to -1.8? (a) t (b) 5/2 (c) -1/2 (d) 2
c
Let p = 122/7 + -251/14. What is the closest to 1/3 in 0.73, p, -4?
0.73
Let w = 112075/363216 - -9/2576. Let v = w + 1/47. Which is the nearest to v? (a) -1 (b) -3 (c) -0.3
c
Let q be (-4)/24*((-20)/(-12) + 1). Which is the nearest to -2/3? (a) -2/9 (b) q (c) 8/3
b
Let t be (-182)/924 - 2/(-66). Let r = -0.1 + 0.1. Which is the nearest to r? (a) -1/2 (b) -5 (c) t
c
Let s = -524883/48190 - -1255/122. Let f = s - -2/395. Let r = 0.8 - 0.3. What is the nearest to 1/4 in -0.5, r, f?
r
Let x(f) = -27*f + 511. Let d be x(19). What is the nearest to 1/7 in 2, d, -3, -0.2?
-0.2
Let j = 365 - 398.6. Let z = 34 + j. What is the nearest to 0 in z, -5, 3?
z
Let l = -8 + 7.7. Let x = 554 - 550. Let z = 11 - 8. What is the closest to 0.2 in l, x, z?
l
Suppose 0 = 4*l - 5*k + 9, 14*l + 4*k - 1 = 11*l. What is the nearest to 0.1 in l, -1/3, -0.1, 13?
-0.1
Let z = -150 - -150. Which is the closest to 0? (a) -0.06 (b) z (c) 9 (d) 1
b
Suppose -3*j + 19 = 3*h - 11, -h - 3*j = -20. Let o(v) = 8*v - 33. Let t be o(3). Which is the nearest to -0.1? (a) t (b) h (c) -2
c
Let u = -5.6 + 5.5. Let r = -7 - -7.06. Let q = -3.94 - r. Which is the closest to u? (a) q (b) -0.3 (c) -0.6
b
Let j(w) = w**3 + 23*w**2 + 21*w - 23. Let z be j(-22). Let y = -5 + 6. Let d = 147/5 + -1607/55. What is the nearest to z in y, 0.5, d?
d
Let t = -0.9 - -0.1. Let y = 113.5 - 113.7. What is the nearest to -1 in 3/7, t, y?
t
Suppose 3*q = l - 4*l - 15, -l = 1. Suppose 0 = 5*v - 4*n + 12, 2*v - n + 15 = 4*n. Which is the nearest to -1/3? (a) q (b) -2 (c) v
c
Let d = -40.67 + 2.87. Let m = d - -38. What is the closest to m in 0.2, 7, -0.4?
0.2
Let k be -3 + -2 + 1 + (-19)/(-4). What is the closest to -9 in k, 0.3, -0.2?
-0.2
Let r = -244 + 244. Which is the nearest to r? (a) 3/2 (b) 7 (c) 1 (d) -0.2
d
Let x = 71 - 69. Let f = -84 + 84.5. Let v = 191/7 - 194/7. Which is the closest to f? (a) v (b) x (c) 2/17
c
Let r = -995 + 995.02. Which is the closest to r? (a) 0.1 (b) 1/2 (c) 3 (d) 4
a
Suppose 49*y = -45 - 4. What is the closest to 3 in -3, y, 0.07?
0.07
Suppose 0 = -375*m + 374*m + 5. What is the closest to -2/3 in m, 1/5, 2/5?
1/5
Let m = 38.5 + -6.5. Let t = | {
"pile_set_name": "DM Mathematics"
} |
p.
-5
Suppose 2*r - 45 = 21. Let p = -27 + r. Solve 5*c - 4 = p for c.
2
Let u be (-2)/10 + 5 + 1/5. Solve 0 = u*m - 0*m + 20 for m.
-4
Let o(g) = g**2 + 2*g - 3. Let f be o(-5). Let i be ((-5 - -2) + 0)*(-72)/27. Suppose 5*w - f = -3*z, -6*w + i = -2*w + 2*z. Solve 0 = -w*x - 3*x + 3 for x.
1
Suppose 4*w + 4*w = 3*w. Solve w = 14*f - 16*f for f.
0
Suppose 4*k + 2*r = 18, -k = 3*k + 3*r - 23. Let y(h) = 2*h**2 + h**2 + 8 - h**k - 5*h - 3*h**2. Let z be y(-6). Solve -z*l - 5 = 1 for l.
-3
Let d(c) = c**3 - 4*c**2 + c - 2. Let u be d(4). Suppose -v + 5 = u*a, -3*v + 2*a = -2*a + 5. Let s be v/((-2)/(-4)) + 4. Solve 2*n + s - 2 = 0 for n.
-2
Suppose 4*g - 10 = 5*q, -5*g - 3*q + 2 = -4*q. Solve g = -b - 2*b - 9 for b.
-3
Suppose -2*o = o - 4*o. Let q(l) = l**3 + 18*l**2 - 17*l + 41. Let u be q(-19). Solve -u*t + 9 = -o for t.
3
Suppose 6*d - 132 = 2*d. Let g(k) = -k**3 - 8*k**2 - 8*k - 37. Let n be g(-8). Let a = d - n. Solve q = a*q + 10 for q.
-2
Suppose -2*d = 4*c - 15 - 207, 5*d - 4*c - 527 = 0. Solve 0 = d*n - 108*n + 3 for n.
3
Let g(x) = 59*x + 304. Let u be g(-5). Solve u = 9*d + 45 for d.
-4
Let t = 0 + 1. Let h be (1 - 1)/t*1. Suppose -15*l + 33*l - 3 - 33 = 0. Solve l*w + h*w = -8 for w.
-4
Suppose 0 = m + 2*b + 7, -4*m + m - 19 = 5*b. Let q be 52*(0 + m - 104/(-32)). Solve -2*u = q - 3 for u.
-5
Let q = 5 - 2. Suppose g + 4 = q*g. Solve -g*z = 2*z + 8 for z.
-2
Let m be (-2)/(-4) - 234/(-12). Let a = m - 29. Let j be 2/a - 266/(-63). Solve z = j*z - 15 for z.
5
Suppose -5*p = 4*p - 27. Suppose i + i = h - 3, -5*i = p*h - 42. Solve 2*f + h = -f for f.
-3
Let h be ((-5)/4*-3)/((-3)/(-8)). Suppose 0*r = 2*r - h. Solve r*k = k for k.
0
Let x be (-201)/9 + 3/9. Let c = -22 - x. Suppose c = -5*y - 2*i + 10, -y - 5*i - 21 = -0*y. Solve 3*d = y*d - 1 for d.
1
Let k(w) = -11*w + 163. Let l be k(14). Solve -10*m = -m - l for m.
1
Let w = 688 - 662. Solve -27*u = -w*u + 2 for u.
-2
Let z be 824/52 - (-4)/26. Solve 3*b + z = 7 for b.
-3
Let g be 18 + -1 - 3/(-6)*6. Suppose -m + 5*m - g = 0. Solve 3*o - m = 8*o for o.
-1
Suppose -4*n + 18 = 11*g - 10*g, 4*n = 4*g + 28. Let s be -1*25/n + 6. Solve -19 = 4*a + s for a.
-5
Let m be (-9)/12 - 318/(-8). Suppose -4*b + 3*o = -b + m, 5*o - 5 = -b. Let v = b - -10. Solve v = 6*w - 4*w - 10 for w.
5
Let y = 18 + -13. Suppose 4*v + 10 = -3*l, -y*l + 3 + 3 = v. Solve 4 = -l*c - 2*c for c.
-1
Suppose 17*s - 518 - 128 = 0. Solve 13 = 5*n + s for n.
-5
Let w = 4 + 0. Suppose -10 + 5 = -q. Suppose q*c = 2*d + 8, 3*c - w*d = -d + 12. Solve c*o + o = -3 for o.
-3
Let w(d) = -d**2 + 6*d - 1. Let v be w(5). Let x = -4 + v. Solve x + 4 = -4*y for y.
-1
Suppose 4*l - 7 = 9. Suppose 2*y + 4*v - 26 = 0, -5*v + 5 = -l*y + y. Let t be y - -2 - (1 - -3). Solve 0 = -4*n + 1 + t for n.
1
Suppose f = 4*a - 32, -3*f = 2*a - 4 + 2. Solve 0 = a*r - 5*r + 4 for r.
-2
Suppose -15 = -g - 4*k + 6, -5*k + 42 = 3*g. Solve -4*t = -g*t - 2*t for t.
0
Suppose -g = -4*g + 39. Suppose -g = -4*p + 7. Suppose a + 3 = p. Solve 0*o - 8 = -a*o for o.
4
Let h be (-1)/(-6) + (-7)/(126/(-69)). Let y be h + 3 + -6 + (0 - -4). Solve 4*i - y*i + 5 = 0 for i.
5
Suppose -h = -2*q + 17, -3*h + 5*q - 20 = -2*h. Let c = 15 + h. Suppose -28 = -2*w + 4*y, -3*w - y + 12 + 51 = c. Solve -w + 0 = -4*s for s.
5
Let m(p) = -p + 3*p**2 + 2 - p**3 - 2 + 1 + 2. Let f be m(2). Solve -f*c - 20 = -10*c for c.
4
Let a be (-1)/((-18)/14) - 110/(-495). Solve 75*n = 74*n - a for n.
-1
Let u = 92 - 88. Solve 0*z = u*z - 20 for z.
5
Let d = -36 - -26. Let n be ((-1)/3)/(1/3). Let k be d/(-35)*(n + 8). Solve -k*a - 9 = a for a.
-3
Let n be (-61)/(-4) - (-2)/(-8). Let k be -4 + 0*(3 + -2) + 4. Let z = -5 - -8. Solve 3*u + z - n = k for u.
4
Let g = 1 + 3. Suppose 3*q = 5*q - g. Let h be (4 + 0)*40/32. Solve -q*a = -3 + h for a.
-1
Let i(f) = 27*f - 18. Let u be i(2). Solve -2*y = -11*y + u for y.
4
Let m be 12/28 + 274/14. Suppose 3 = r - 4. Suppose 9 = 4*t - r. Solve -t*g + 0*g + m = 0 for g.
5
Let s(u) = -u**2 - 13*u - 22. Let x be s(-11). Solve 5*q + 2 - 12 = x for q.
2
Let m be 6 + 4 - 4/8*12. Solve 0*k - 16 = m*k for k.
-4
Let z be -1 - (5 - (2 + 6)). Solve 22*j = 23*j + z for j.
-2
Suppose n + v - 2 = 0, -7 - 3 = 3*n - 5*v. Let c be n/((1 - 0) + -5). Suppose c = 3*i + 4*r, -2*i + 2*r + 14 = -0. Solve i*l + 6 = l for l.
-2
Let h(i) be the first derivative of -i**2/2 - 5*i - 1. Let u be h(-5). Solve 4*k + u*k = 4 for k.
1
Let w(j) = -7*j + 1. Let b(p) = -14*p + 3. Let q(c) = -4*b(c) + 7*w(c). Let k be q(2). Suppose -k - 3 = -2*u. Solve -5*n + u*n = 0 for n.
0
Let w be (-3 + 12)*15/9. Let o = -26 - -15. Let r = o + 18. Solve -r = 2*v - w for v.
4
Let t be 117/(-18) + 9 + (-2)/4. Solve 6*y - t*y - 12 = 0 for y.
3
Let s(x) = -x**2 + 7*x - 5. Let q be s(3). Solve -q = 2*a + 3 for a.
-5
Suppose 0 = 3*i - v + 23, 0*i - 7 = 2*i + v. Let x be (9/(-3) - i)*1. Solve x*f + 4 = -5 for f.
-3
Let i be -48 - (2 - 0/5). Let s = i + 40. Let c be -1 - (-5)/s*-14. Solve -20 = -2*j + c*j for j.
-5
Let y(l) = 4*l**2 + l + 5. Let s be y(0). Suppose m + 5 = -2*c, 2*m + 3*c + 11 - s = 0. Solve -25 = -m*f + 8*f for f.
-5
Let i(c) = 20*c - 98. Let o be i(5). Solve o*y - 3*y = 0 for y.
0
Suppose -5*t + 80 = 11*t. Solve -7*d = -2*d - t for d.
1
Let n(f) = f**2 - 6*f - 3. Let x be n(-5). Suppose 0 = 2*z - 6*z + x. Suppose 3*o = -4*g + z, g = -5*o + o. Solve j - 2*j = -g for j.
4
Suppose 0 = 11*p + 19 - 63. Let r(l) = -l**3 - 4*l**2 + l. Let v(m) = m. Let t(w) = r(w) - 5*v(w). Let o be t(-3). Solve o = p*f - 1 for f.
1
Suppose 5*o - 5 = -5*n, 5*o = 3*n - 0*o - 11. Let f = 8 - n. Let b(i) = i**2 - 4*i - 9. Let x be b(f). Solve 2*m - 2 = x*m for m.
-2
Let x(o) = -o**3 + 6*o**2 + 8*o - 15. Let b be x(7). Let d be ((-20)/(-16))/((-1)/b)*2. Solve -d = -q - 3*q for q.
5
Let g = 3 + -4. Let c = -8 + 10. Let a = c - g. Solve 0 = -a*l - l - 4 for l.
-1
Let p = -17 + 34. Suppose -p + 2 = 5*t. Let i = t + 7. Solve -3*o = -i*o + 5 for o.
5
Suppose 2*a - 18 + 12 = 0. Solve 2*k = 3*k + a for k.
-3
Suppose h + 2*o = 12, -4*h + 3*o = -8*h + 38. Solve x + h - 5 = 0 for x.
-3
Suppose 3*a - 20 - 31 = -2*z, 2*a = 4*z + 34. Solve 18 = -23*v + a*v for v.
-3
Suppose 0 = n - 625 + 620. Solve n*w + 9 = -4*w for w.
-1
Suppose 9*m - 20 = -m. Let o be (2 - 8/4 - m)/(-1). Solve n - o*n = 0 for n.
0
Suppose -5*b = z - b - 17, 10 = -5*z - b. Let w(h) = h**3 + 5*h**2 + 4*h + 2. Let v be w(z). Solve a = -a + v for a.
4
Let t(i) = i**3 + 13*i**2 - 2*i - 1. Let d be (-501)/39 + 4/(-26). Let n be t(d). Solve -c + 6*c = -n for c.
-5
Let i = -672 + 682. Solve 17 = i*z - 13 for z.
3
Suppose -3*u = 3*h - 237, -3*u = -4*h + 5*h - 237. Suppose 0*a - 5*a = -3*j - 97, -4*a + j + u = 0. Let t = a + -17. Solve -t*y - 2*y = -15 for y.
3
Suppose -l + 6 - 2 = 0. Solve -2 - l = 3*z for z.
-2
Let f(n) = 71*n + 14. Let p be f(0). Solve p = 4*a + 30 for a.
-4
Let k be 30/9*3/2. Suppose k = p + 1. Solve -4*j - p = -2*j for j.
-2
Let d be (-7 + 6)*0*(-6)/(-12). Suppose -2*k = 4*p - 72, -3*k - 3*p = -5*k + 72. Suppose 2*b + k = 6*b. Solve -2*i - 1 - b = d for i.
-5
Suppose -3*n + 15*u = 19*u, -u - 3 = 0. Solve 0*z = n*z + 12 for z.
-3
Suppose -12 = -3*y + 12. Suppose 9*g = y*g. Solve g = -w - 1 - 1 for w.
-2
Let l = -1 + 6. Solve -3*m = l + 7 for m.
-4
Suppose -5*m - k = -2, 2*m + k - 8 = -3*k. Let j = -5961 + 5967. Solve m*h = 2*h - j for h.
3
Let m be ((-1)/(-3))/(8/192). Let h = 9 - m. Let g(s) = 2*s**3 - s**2 + s. Let w be g(h). Solve -i = -w + 3 for i.
-1
Suppose 8*h - 6*h - 4*s = 4, 40 = 5*h + 5*s. Suppose 0 = -5*z + 3*p - 4 - h, 4*z = p - 1. Solve 0 = -2*w + z + 7 for w.
4
Suppose 19 = 5*h - 6*h - 5*p, 7 = 2*h + p. Solve -12*f + h*f = 0 for f.
0
Let i(z) be the first derivative of -z**3/3 + 9*z**2/2 + 8. Let q be i(9). Suppose -r - 2*r = q. Solve r = -3*n + 4*n - 5 for n.
5
Let l be 0/(-2)*51/255. Solve 20 = 5*w - l*w for w.
4
Let a(s) = -s**3 + 8*s**2 - 6*s - 2. Suppose -z = 2*z - 21. Let v be a(z). Suppose 2 = -w + 6, 2*u + v*w = 24. Solve -u*n = -n + 2 for n.
-2
Let y = -91 - -93. Solve 0 = -3*z - y*z - 5 for z.
-1
Let r(q) = -q + 3. Let j be r(3). Let z be (2/4 - 1)*j. Let k(m) = -m**2 + 39*m + 10. Let s be k(39). Solve 3*a - a + s = z for a.
-5
Suppose 3*f - 5*m - 7 = 14, -5*m = 5*f + 5. Let k be (-35 - -39)*(10/4 + 0). Suppose k = w + w. | {
"pile_set_name": "DM Mathematics"
} |
05, 64613, 95223, 132635, 176849?
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31022
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-155137
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-2501
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-1317030941
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232226
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290374
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5282942
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3313283
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344803
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-478367157
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-434867
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11367944
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45681
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4435
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26757
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2935528
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173599
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100040
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3284439
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What comes next: 1710, 55597, 1454 | {
"pile_set_name": "DM Mathematics"
} |
6 - f. Suppose -k - 4*n = -199, x = -3*k + 5*n + 581. Is k a composite number?
True
Let j(f) = 18*f**2 + 49*f + 40. Let n be j(-28). Suppose 2*l - l = -2*d + 12779, 2*d + 2*l - n = 0. Is d a composite number?
False
Is (-67274*(-14)/(-112))/(-5 + (-76)/(-16)) prime?
True
Let h(o) = o + 18. Let c be h(4). Is (-7)/((-231)/23535) - 4/c a composite number?
True
Let g(c) = -c**3 - 8*c**2 + 8*c - 6. Let j be g(-9). Suppose -j*t + 5*x - 71 = 0, -t + 4*t - 3*x + 75 = 0. Let p = t + 96. Is p a prime number?
False
Let n(h) = -20*h + 29*h**2 + 3*h**2 + 28*h + 7*h. Is n(11) a composite number?
True
Suppose 3*t - 5 = -5*j, 0 = 7*t - 2*t. Is 2246/6*(j + 2) a composite number?
False
Let b(t) = 4638*t**2 + 80*t + 145. Is b(6) prime?
True
Suppose 1809 = 3*r - 4*m, 5*r + 5*m = 3967 - 952. Let i = r - 345. Let y = 16 + i. Is y prime?
False
Let m(l) = -l**3 + 9*l**2 - 6*l - 12. Let v be m(8). Suppose 0 = v*p + 12, 3*t - 4*p = 20 - 2. Is (-5115)/(-30)*(0 + t) a prime number?
False
Is 21/(420/(-160)) - -18085 a composite number?
False
Let u = -1270 - -3723. Is u prime?
False
Suppose 0 = -3*i - 3*m + 132, 188 = 5*i - 0*i - 3*m. Let c = i + -38. Suppose 8*o - 1986 = c*o. Is o prime?
True
Let h(y) = y**3 - 24*y**2 - 34*y - 17. Is h(42) composite?
False
Suppose 4*q - 20 = 4*c, 2*q + 18 + 8 = -4*c. Is (2414 + 3)/(2 + -7 - c) a prime number?
True
Suppose -4559254 = -69*a - 43*a + 14*a. Is a a composite number?
False
Let d be -1*(-2)/2 + -3. Let m(z) = -38*z**3 + 3*z + 1. Let n be m(d). Let o = n - 76. Is o prime?
True
Let p be 2 + 317337/15 - (-1)/5. Let w = p - 12229. Suppose 4*d + 749 = w. Is d composite?
True
Let u be 6*-1*(825/10)/11. Is 3/u*-10*6978/4 prime?
True
Suppose 1118 + 151 = -3*n - 3*i, 0 = -5*n - 4*i - 2120. Let l be (-9 + -293)*(-3)/1. Let u = l + n. Is u prime?
False
Let n be (12/(-21))/((-3)/21). Suppose -4*u - 13 = f - n*f, -5*u = -f + 8. Is (-4)/(-2) + u - -120 a composite number?
True
Is 110*254 + ((-4)/3)/(4/(-3)) prime?
True
Let n(k) = -194*k**3 - 25*k**2 + 20*k + 126. Is n(-13) composite?
True
Let a be (-11)/(-4) - 18*9/216. Suppose 1348 = 2*y - a*t, -2*y + 506 + 863 = 5*t. Is y composite?
False
Let n(x) = 3*x**3 - 3*x**2 + 3*x + 20. Let g(j) = j**3 + j**2. Let s(d) = -4*g(d) + n(d). Let p be s(-8). Let z = 469 - p. Is z a composite number?
False
Let x = 608135 - 384832. Is x a composite number?
False
Suppose 0*h - 180 = -6*h. Suppose 2*v + t - h = 0, -3*t - 75 = -5*v - 2*t. Suppose -2*q = 2*q - 3*m - 1667, 5*m = v. Is q a prime number?
True
Let v = -9377 + 633. Let o = v + 12565. Is o a prime number?
True
Let j = 165 + -71. Let z = j - -699. Is z prime?
False
Let h(f) be the second derivative of f**5/4 + f**4/4 + 7*f**3/6 - f**2/2 + f + 1. Is h(5) a prime number?
False
Let t = 411711 + -15232. Is t composite?
False
Let q = 9 + 0. Suppose 2*n = 3*o + q, 0 = n - 3*o - 4 + 1. Is (-495)/(-6) - ((-21)/n - -3) composite?
False
Let p(j) = 5*j + 25. Let a be p(-5). Suppose -4*g = -4, a = 4*u + 5*g - 13834 - 14639. Is u prime?
False
Suppose -2*j - 16 = v - 3*v, 2*v - 3*j = 20. Suppose -4*l + 2856 = -2*c + 6*c, -l - v*c = -729. Is l composite?
False
Suppose 11*w = 9*w + 2032. Suppose -1083 = j + w. Let d = -300 - j. Is d a prime number?
False
Let x(m) be the first derivative of -m**3/3 + 25*m**2 + 59*m - 37. Is x(32) prime?
False
Let r = 8251 - -4562. Is r a prime number?
False
Let x = 19715 - 1128. Is x a composite number?
False
Let u(p) = -10*p**3 - p - 1. Let z be u(-1). Suppose -25*s = -z*s - 95085. Is s prime?
False
Let k(o) = -17927*o - 290. Is k(-9) composite?
False
Let h(k) = k**3 - 66*k**2 - 153*k - 151. Is h(72) a composite number?
False
Let y be ((-106)/6)/((-1)/(-36)). Suppose -3*l + 39 = -5*h, -4*l - 15 = 5*h + 3. Is (4/h)/(8/y) a composite number?
False
Let m be 20/11 + -1 + 26/22. Suppose -3*t = -7*t + 20, p + 4*t = 32. Is p/66 + 9927/66*m a prime number?
False
Let f(u) = -14358*u + 60. Let v be f(-2). Suppose -w + 5*b + 9612 = 0, -10*w + 3*b + v = -7*w. Is w a composite number?
False
Let j(r) = -r + 18. Let n be j(13). Let g(d) = 118*d + 77. Is g(n) a composite number?
True
Suppose 0 = 11*f - 18*f - 42. Is 9/3 + (20382 - f)/6 a prime number?
False
Let x(z) = -4*z**2 - 47*z - 68. Is x(-9) a composite number?
False
Let u be 7351 + -7*2/(-7). Let l = -4082 + u. Is l a composite number?
False
Suppose -4*v - 103 = -111. Is (v/(-8))/(3*(-4)/809808) a prime number?
True
Suppose 2*t + j - 27043 = 0, -4*t - 5*j + 19208 + 34869 = 0. Is t a prime number?
True
Suppose -277 = -5*q - 2. Suppose -13*b + q*b = 669354. Is b a composite number?
False
Is 9*(11/99 - (2 + 780416/(-36))) prime?
False
Suppose -118*j + 440984 + 112554 = 0. Is j a prime number?
True
Let z(b) = -b**2 + 8*b + 2. Let m be z(5). Suppose -17062 = -m*a + 5854. Suppose a = -12*x + 16*x. Is x a prime number?
True
Suppose 42 = -18*t + 474. Suppose 137895 = t*j - 87009. Is j prime?
True
Suppose q - 4 - 33 = -4*j, -q - 3 = 0. Suppose j*a - 6*a = 20. Suppose 3*t = t - 4*g + 38, -2*g - 35 = -a*t. Is t a prime number?
False
Let w(p) = -2784*p - 119. Let n(g) = 2782*g + 115. Let a(i) = 4*n(i) + 3*w(i). Is a(6) a composite number?
False
Let u be (-6)/(-5)*230/(-138). Let v(l) = -140*l**2 + 5*l + 12. Let b(j) = 140*j**2 - 5*j - 13. Let r(i) = -4*b(i) - 5*v(i). Is r(u) composite?
True
Let k = 74714 + 4865. Is k prime?
True
Let i(s) = -218*s**2 + 12*s - 18. Let u be i(7). Is (0 - -2)/(1 + 10608/u) prime?
False
Suppose 123962 + 224533 + 27140 = 13*r. Is r composite?
True
Let p be 12*(-36)/(-30) - 15/(-25). Suppose p*x - 46*x = -3751. Is x a composite number?
True
Is 54/(-90) + 5630794/65 a prime number?
True
Is -2 - -148897 - (-126)/(-9) prime?
False
Is (-12)/(-33) + 0 - (-9 + 8863380/(-66)) a composite number?
True
Let o = 13 + -9. Suppose 16626 = 2*i - o*k, -2*i + 33265 = 2*i + 5*k. Is i a prime number?
False
Suppose -9*v = -11*v - z + 6, v + 3*z - 3 = 0. Let j(u) = 5964*u - 49. Is j(v) composite?
True
Suppose 0 = -t + 5, 3*l = 4*t - 7*t + 30. Suppose -2*j + 3*q + 4871 = -1712, 5*j - 16470 = l*q. Is j a prime number?
True
Let m be (-2772)/(-216) + 2/12. Is (4 + 1843)/(m/65) prime?
False
Suppose 3*i + 270 = 312. Suppose 5*f + i*y = 10*y + 12611, -10096 = -4*f - 5*y. Is f a composite number?
True
Let x = 374 + -334. Is (-1)/(x/62180*1/(-2)) a composite number?
False
Let j = 263628 - 188201. Is j a prime number?
False
Is 38010 + 26/(18 + -16) composite?
True
Let i(j) = 55*j**3 - 7*j**2 + 2*j + 12. Let u be i(4). Let r = 5275 - u. Is r prime?
True
Let t(o) = -198*o + 199*o + 2 - 3. Let q(a) = 255*a**2 - 5*a + 4. Let p(i) = q(i) + 3*t(i). Is p(1) prime?
False
Suppose -9*m = -5*m + 2*r - 42204, -4*m + 4*r = -42192. Let o = -7332 + 543. Let z = o + m. Is z composite?
False
Suppose 29*b + 268249 = 6*b. Let f = b + 18640. Is f a prime number?
True
Let t be (-3 + -1)/((-793)/(-113) - 7). Let i = 49 + 388. Let b = i + t. Is b prime?
True
Let s = -225456 + 358203. Is s composite?
True
Suppose -249*p = -115*p - 96*p - 12355054. Is p prime?
True
Let l(g) be the third derivative of -7/24*g**4 + 1/6*g**3 + 0 - 10*g**2 + 17/15*g**5 + 0*g. Is l(-4) prime?
True
Suppose -125*f - 126*f + 99*f = -4037272. Is f a prime number?
True
Let f be ((-12)/4)/(2 - 3). Is (-2 - -3)*-1671*(-1)/f prime?
True
Let j(g) = g**3 - 11*g**2 + 6*g - 3. Let n be j(4). Let f = -87 - n. Is -2*(f + (-3795)/10) a prime number?
True
Let u be (-4)/8 + -2*(-23155)/(-20). Let y = u + 8155. Is y composite?
False
Let m = -130 + 135. Suppose 0 = g + m*y - 7349 - 2410, 2*g - 3*y = 19557. Suppose -8*a = 1686 - g. Is a a composite number?
True
Let l = -22 - -34. Let j be -3*(0 - 8/l). Suppose -j*h - 2*f - f + 1829 = 0, 0 = 5*f - 25. Is h a prime number?
True
Let r = 96068 - 54949. Is r prime?
False
Suppose -2*y + 335957 = -26*v + 23*v, -2*y - v = -335937. Is y composite?
False
Let s(n) = -9456*n + 209. Is s(-25) prime?
True
Suppose -93*u + 64142 + 162432 = 45410. Let j be (-4)/(-10) - (-46)/10. Suppose 5*b = 5*w + 2435, j*b - 2*w - u = b. Is b prime?
True
Suppose -3*k + 9 = -2*d - d, -3*k = d - 17. Suppose -k*b = 3*r - 81, -r - 3*b - 7 + 30 = 0. Let u = 74 + r. Is u a prime number?
False
Let p = 232566 - 68683. Is p composite?
False
Let d be 3*(-12)/(-90) + (-3204)/10. Is d/256 - (-19698)/8 a composite number?
True
Let m(h) = h**3 + 6*h**2 - 5*h + 14. | {
"pile_set_name": "DM Mathematics"
} |
lect the terms in -126*f + 253*f - 125*f.
2*f
Collect the terms in 116 + 102 - m - 218 - m.
-2*m
Collect the terms in 7*u**2 - 5*u**2 - 7*u**2.
-5*u**2
Collect the terms in -13*p**3 + 25*p**3 - 15*p**3.
-3*p**3
Collect the terms in 3 + 11*a - 3 + 15*a.
26*a
Collect the terms in -i**3 + 9*i**3 - 235*i**2 + 235*i**2.
8*i**3
Collect the terms in -7 - 2*x - 305 - 27.
-2*x - 339
Collect the terms in 2*t - 5*t - t - t.
-5*t
Collect the terms in -5*k - 9*k - k + 18*k.
3*k
Collect the terms in 17*o**3 + 11*o**3 - 25*o**3.
3*o**3
Collect the terms in 2*t**3 + 7*t**3 + 5*t**3 - 4*t**3.
10*t**3
Collect the terms in -19802*o**2 + 19802*o**2 + 0*o + 0*o - 2*o**3.
-2*o**3
Collect the terms in 4*w - 2*w**3 - 3*w**3 + 7*w**2 - 4*w.
-5*w**3 + 7*w**2
Collect the terms in -2*p + 7*p + 15 - 6*p.
-p + 15
Collect the terms in -295*h + 148*h + 142*h.
-5*h
Collect the terms in 25 + 3*h + 0*h - 36.
3*h - 11
Collect the terms in -71*l**3 + 41*l**3 + 32*l**3.
2*l**3
Collect the terms in w - 15 + 15 + 3*w.
4*w
Collect the terms in -37 + 96 - 57 - 18*s.
-18*s + 2
Collect the terms in 12720*z**3 - 6362*z**3 - 6357*z**3.
z**3
Collect the terms in 25*q**2 + 22*q**2 + 22*q**2 + 19*q**2 - 87*q**2.
q**2
Collect the terms in 364*c**2 + 1 - 364*c**2 - 1 + 5*c**3.
5*c**3
Collect the terms in -x - 116 + x + x + 0*x.
x - 116
Collect the terms in -2050947*r + 2*r**3 - 4*r**2 + 2050947*r + 4*r**2.
2*r**3
Collect the terms in 61*o**3 - 42*o**3 - o + 2*o + 95*o**3.
114*o**3 + o
Collect the terms in 4344*n - n**3 - 4344*n.
-n**3
Collect the terms in 5 + 2*f - 18*f**2 - 2*f + 6*f**2.
-12*f**2 + 5
Collect the terms in 1856*n**2 - 928*n**2 - 933*n**2.
-5*n**2
Collect the terms in 24*c**2 + 9*c**2 + 2*c**2 + 9*c**2.
44*c**2
Collect the terms in -25*d - 29*d - 46*d + 101*d.
d
Collect the terms in 9*j**2 + 21*j**3 - 9*j**2 - 28*j**3.
-7*j**3
Collect the terms in 385*v**2 - 793*v**2 + 388*v**2.
-20*v**2
Collect the terms in 0 - 6*a - 9*a + 1 + 0.
-15*a + 1
Collect the terms in 1 - 3*d - 2*d + 2*d.
-3*d + 1
Collect the terms in 4*i - 7*i + 8*i + 3*i - 7*i.
i
Collect the terms in -2*t**3 + 0 - 7 + 5 + 2.
-2*t**3
Collect the terms in -64*r + 60*r + 3 - 3.
-4*r
Collect the terms in 4*y**2 - 4*y**2 + 4*y**3 + 6*y**2 - 12*y**3.
-8*y**3 + 6*y**2
Collect the terms in -86*d**2 - 95*d**2 + 183*d**2.
2*d**2
Collect the terms in -18*p**2 + 16*p**2 + 11*p**2.
9*p**2
Collect the terms in -260*a**3 - 286*a**3 + 544*a**3.
-2*a**3
Collect the terms in -236 - 232 + 468 - p.
-p
Collect the terms in -z**3 - 13*z**3 + 16*z**3 - 157*z**3.
-155*z**3
Collect the terms in o**2 - 609*o + 609*o.
o**2
Collect the terms in 470*k - 3*k**2 - 730*k + 260*k.
-3*k**2
Collect the terms in -27*h + 49*h + 40*h - 15 + 18.
62*h + 3
Collect the terms in -14 + 5*x**3 + 14.
5*x**3
Collect the terms in 160*q - 160*q - 4*q**3 - q**3.
-5*q**3
Collect the terms in 108*y + 84*y + 28*y.
220*y
Collect the terms in 54*s**2 - 67*s**2 + 7*s**3 + 0*s**3 + 13*s**2.
7*s**3
Collect the terms in -2 + 3*k**2 - 5 + 4 + 1.
3*k**2 - 2
Collect the terms in -a**2 + 13 + 20 + 8 - 41.
-a**2
Collect the terms in 746*a - 1718*a + 970*a.
-2*a
Collect the terms in -30*n**3 + 59*n**3 - 30*n**3.
-n**3
Collect the terms in -195*g**3 - 15*g**3 + 213*g**3.
3*g**3
Collect the terms in 0*u**2 - 56 + 54 + 2 - 4*u**2.
-4*u**2
Collect the terms in 13*q**2 - 20*q**2 + 2*q**2 + 4*q**2.
-q**2
Collect the terms in 4925*l**2 + l**3 - 4925*l**2.
l**3
Collect the terms in 8*k**3 - 16*k**3 + 7*k**3 + 9*k**3.
8*k**3
Collect the terms in 46674 - 39*o - 46674.
-39*o
Collect the terms in -2*g**3 + g**3 + 0*g**3 - 4*g**3.
-5*g**3
Collect the terms in -64*x - 57*x + 120*x.
-x
Collect the terms in 236*o**2 + 2*o**3 - 122*o**2 - 114*o**2.
2*o**3
Collect the terms in 82049*h**2 - 82049*h**2 - h**3.
-h**3
Collect the terms in -4*j + 0*j + 3*j + 2*j + 8*j**2 - 7*j**2.
j**2 + j
Collect the terms in -7*d - 5*d + 43*d**2 + 12*d.
43*d**2
Collect the terms in -4*g + 4*g + 92*g**3 + 82*g**3.
174*g**3
Collect the terms in 5*u - u + 2*u + 3*u.
9*u
Collect the terms in 7*l - 50*l**3 - 7*l + 0*l.
-50*l**3
Collect the terms in 166*g + 94*g + 123*g.
383*g
Collect the terms in 7*r + 0*r - 4*r - 5*r.
-2*r
Collect the terms in -44*t + 67*t - 48*t - 4*t**2 + 3*t**2.
-t**2 - 25*t
Collect the terms in 373*x - 193*x - 181*x.
-x
Collect the terms in -1 + 1 + 12*c**2 - 15*c**2.
-3*c**2
Collect the terms in 102*a**2 - 20*a**2 - 25*a**2 - 58*a**2.
-a**2
Collect the terms in 8*f**3 - 13*f**3 - 12*f**3.
-17*f**3
Collect the terms in 0*j - 14*j + 11*j + 13*j.
10*j
Collect the terms in -6*b**3 - 3*b**3 + 4*b**3.
-5*b**3
Collect the terms in 2 - 3 + 8*x + 29*x.
37*x - 1
Collect the terms in 177*a**3 - 95*a**3 - 103*a**3.
-21*a**3
Collect the terms in -19*g**2 + 1 - 31*g**2 - 1.
-50*g**2
Collect the terms in 3*s - s - 5*s.
-3*s
Collect the terms in 63*x + 2*x**2 - 63*x.
2*x**2
Collect the terms in -492 - n + 492.
-n
Collect the terms in -5*i + 26 + 56 - 27.
-5*i + 55
Collect the terms in -494*g + 251*g + 249*g.
6*g
Collect the terms in 549*d**2 - 314*d**2 + 2 - 2 - 269*d**2.
-34*d**2
Collect the terms in 0*t + 80*t**3 + 10*t**3 + 0*t.
90*t**3
Collect the terms in 3 - 3 - 72*c**2 + 34*c**2 + 35*c**2.
-3*c**2
Collect the terms in -150*g**3 - 163*g**3 + 461*g**3 - 164*g**3.
-16*g**3
Collect the terms in 176*k**2 - 88*k**2 - 86*k**2.
2*k**2
Collect the terms in -v + 5*v + 2915 - 3*v.
v + 2915
Collect the terms in 8 - 2*d - 2 - 4 - 3*d.
-5*d + 2
Collect the terms in 2*p + p + 0*p + 2*p.
5*p
Collect the terms in -45*c - 99*c - 5*c.
-149*c
Collect the terms in 22*a**3 - 51*a**3 + 28*a**3.
-a**3
Collect the terms in 23*k - 9*k + 6*k - k.
19*k
Collect the terms in -9*b**2 - 2*b**3 + 9*b**2 - 37*b**3.
-39*b**3
Collect the terms in -51*s - 18*s + s**3 - 12*s + 21*s.
s**3 - 60*s
Collect the terms in -6*t**3 - 75*t**3 + 79*t**3.
-2*t**3
Collect the terms in -788*a**3 + 1 - 1 + 773*a**3.
-15*a**3
Collect the terms in 4*r - 3*r**3 + 6*r - 6*r**3.
-9*r**3 + 10*r
Collect the terms in -2 - 1435*a + 2 + 1436*a.
a
Collect the terms in 12*u**2 + 6*u**3 - 12*u**2.
6*u**3
Collect the terms in 6 + 3*d**3 + 4*d**3 - 6.
7*d**3
Collect the terms in -9*u + 7*u + 2*u + 8*u.
8*u
Collect the terms in -18 + 34 - 16 + 38*a.
38*a
Collect the terms in 35*d - 8*d - 3*d - 10*d - 11*d.
3*d
Collect the terms in -666557 + 2*m**2 + 0*m**2 + 666557.
2*m**2
Collect the terms in -2 - 5*q**2 - 10 + 12.
-5*q**2
Collect the terms in 6*o**2 - o - 6*o**3 - 6*o**2 + 0*o**3.
-6*o**3 - o
Collect the terms in n - n + 33764 - n - 33764.
-n
Collect the terms in 5*g + 17 - 3*g - 141.
2*g - 124
Collect the terms in 3*b**3 + 10291*b**2 - 10291*b**2.
3*b**3
Collect the terms in -655*u**2 + 1322*u**2 + 3 - 647*u**2 - 3.
20*u**2
Collect the terms in -6*m + 0 + 5 + 4.
-6*m + 9
Collect the terms in -d**3 - 15*d**3 - 3*d**3 - 19*d**3.
-38*d**3
Collect the terms in 1 - 8 + 0 - 23*c**2 + 6.
-23*c**2 - 1
Collect the terms in 19*l**2 + 33*l**2 + 7*l**2 - 5*l**2.
54*l**2
Collect the terms in 9*r**3 - 10*r**3 - 2*r**3.
-3*r**3
Collect the terms in -1140 - 2*d**3 + 2290 - 1150.
-2*d**3
Collect the terms in -658 + l**2 + 658.
l**2
Collect the terms in 138*w**2 + 3*w**2 - 137*w**2.
4*w**2
Collect the terms in 33 + 3*a - 33 - 2*a - 3*a.
-2*a
Collect the terms in 2*u**2 + 8200*u - 8200*u.
2*u**2
Collect the terms in -11714 + 11714 - 3*w.
-3*w
Collect the terms in 1 + 1 - 6 + 8*d + 8.
8*d + 4
Collect the terms in -79*o**3 - 238*o**3 - 24*o**3.
-341*o**3
Collect the terms in 151 - 311 - 11*o**3 + 160.
-11*o**3
Collect the terms in -4*l**3 - 1 + 6 - 1 + 1.
-4*l**3 + 5
Collect the terms in -399 + 399 + y.
y
Collect the terms in 15*w**3 - 29*w**3 + 8*w**3 + 13*w**3.
7*w**3
Collect the terms in -14*d**2 + 5*d**2 - 9*d**2.
-18*d**2
Collect the terms in 17 - 17 + 16*q**2.
16*q**2
Collect the terms in 43*m**3 - 115*m**2 + 115*m**2.
43*m**3
Collect the terms in -192 + 8*o + 192.
8*o
Collect the terms in -3*i**3 - 2*i**3 - 78 + i**3.
-4*i**3 - 78
Collect the terms in 20*r**3 - 11*r**3 + 5*r**3 + 0*r**3.
14*r**3
Collect the terms in 88 - 5*r - 88.
-5*r
Collect the terms in 591*s**2 - 197*s**2 - 34 + 34.
394*s**2
Collect the terms in 296*k + 295*k - 2*k**3 - 591*k.
-2*k**3
Collect the terms in 5330 - 5330 + 8*s**2.
8*s**2
Collect the terms in -3*f**3 - 5*f**3 + 0*f**3 - 2*f**2 + 2*f**2.
-8*f**3
Colle | {
"pile_set_name": "DM Mathematics"
} |
from 3585260492.
3585254865
What is 30 minus -280631806543?
280631806573
Add 1707860259 and -12056.
1707848203
371117864+-998
371116866
Put together 1435.171716709 and 0.081.
1435.252716709
Calculate -841.796 + -24916258.
-24917099.796
What is -996698.47022 + -0.57?
-996699.04022
What is -96142165 + 7.76?
-96142157.24
Work out 0.0275 - -74407147.
74407147.0275
Calculate -403.02 - -74351077.
74350673.98
What is 740.3168 + -455759?
-455018.6832
Calculate -19446 - 172.94206.
-19618.94206
-0.2 + -134849177.12
-134849177.32
What is 7453504164287 less than -2?
-7453504164289
-10370913294.62 - 7
-10370913301.62
Total of -5.6998386 and -18934.
-18939.6998386
Work out 57285339.577 - -0.96.
57285340.537
Work out 0.493849 + 635.8.
636.293849
Sum -1111367.538 and 13810.
-1097557.538
What is the distance between -0.069377 and -1098711?
1098710.930623
Add 404.6019222943 and 0.041.
404.6429222943
Work out -0.13 - -6.2345322978623.
6.1045322978623
What is 43199353473 minus -1145?
43199354618
-9.0511146 - -49
39.9488854
Calculate 50 + 729865478929.
729865478979
What is -1.653 - -0.11742227861?
-1.53557772139
-480.49 - -0.0334091532
-480.4565908468
Work out -520479009697 - -0.9.
-520479009696.1
What is 1076.2945329 plus -0.04878?
1076.2457529
What is 1 - -8793677.6175507?
8793678.6175507
What is -0.03855 minus 12695580?
-12695580.03855
What is the difference between 1 and 815534388209?
815534388208
Work out -13 - 269515886353.
-269515886366
What is 3960065.142 minus 243?
3959822.142
-2.61219 - -6661.94
6659.32781
What is 0.3504563 + 15074?
15074.3504563
Sum -16017307 and 4290769.
-11726538
What is 253.8009 + 0.083?
253.8839
Total of 1243993744 and -14.804.
1243993729.196
What is 2131070.2 plus -141155?
1989915.2
Subtract 184 from 95.755787241.
-88.244212759
Calculate -43.03898446 - -1286.1.
1243.06101554
What is 2252004.4346 take away 1693?
2250311.4346
What is 30328 + -18489.08?
11838.92
Add 22.45439 and 17.89734.
40.35173
Work out -1.87518 + -138.7204.
-140.59558
-0.187257+-252366
-252366.187257
Calculate 2163.169 - 95344.
-93180.831
-48146628939 - 900
-48146629839
What is -305 minus 1814366815?
-1814367120
2266+40806997
40809263
What is the distance between -0.05 and 27824.311?
27824.361
What is -149668 minus -28989.914?
-120678.086
Work out -33183.32 + 68426.
35242.68
Work out 5 + 21677265.9994.
21677270.9994
What is 4971777912 plus -4.28?
4971777907.72
What is -59.75352057234 - 0.4?
-60.15352057234
0.0816 - 1489934748.4
-1489934748.3184
Sum -34 and 47.65951008845.
13.65951008845
What is -137947.58 take away -1.187163?
-137946.392837
Work out 49325.827 + 3604.
52929.827
What is 5052.204142 less than 10?
-5042.204142
What is 1280967 less than -7.7133164?
-1280974.7133164
What is -0.3 + 0.55877994039?
0.25877994039
Add 14791095 and -25.002.
14791069.998
What is the distance between -1106858398 and 0.4565?
1106858398.4565
What is -1 plus -7.6514330835?
-8.6514330835
Calculate 754.2 + -994750.6.
-993996.4
Calculate -1724 - 10639.497.
-12363.497
What is 0.05 - 17600764311?
-17600764310.95
What is -10992337468 less than -5?
10992337463
What is 18 plus 11.122435971108?
29.122435971108
What is -24019.60231 - 8.2881?
-24027.89041
What is 0.44 - 2229113.234?
-2229112.794
What is 369.9 less than -223.22134?
-593.12134
Calculate 505786968250641 + -2.
505786968250639
What is -12 minus 0.065206727786?
-12.065206727786
Put together 4.59062 and -136.154.
-131.56338
Work out 3195 + 18612930066.
18612933261
What is -467 minus 8944551999?
-8944552466
78.91 - 133.603061
-54.693061
Work out 2.385678718468 + -0.5.
1.885678718468
Calculate -2.64501384059 + -0.245.
-2.89001384059
What is -172895047575046 minus 0?
-172895047575046
Subtract 168243070.12 from 56.
-168243014.12
Sum -16.6 and 119497.03125.
119480.43125
What is -68200646 less than 312248?
68512894
What is -3312229 less than -0.174?
3312228.826
Sum -0.2 and 74336677781.
74336677780.8
What is the difference between 9894 and 93264.26?
83370.26
Put together -4.132 and 31175349587.
31175349582.868
Subtract 30569529 from -7993719.
-38563248
Calculate 3.55446 - 990091.
-990087.44554
What is -24283206084 less than -0.01?
24283206083.99
Work out -0.106 - 1249625.531.
-1249625.637
Subtract 14383 from 8455708.96.
8441325.96
What is 0.008303479517891 + 2?
2.008303479517891
0.3505+-742817010.2
-742817009.8495
What is -1569654 - 50924.323?
-1620578.323
Add -27815411 and 37375.18.
-27778035.82
What is 1 plus 1.867107124273?
2.867107124273
Calculate -476296 + -426007.
-902303
What is -31 take away -2029257726192.4?
2029257726161.4
Add 32 and 5159.459634.
5191.459634
What is -0.042 less than 1570903.41?
1570903.452
110889863.6628 + -0.33
110889863.3328
-125485 + 7.744363
-125477.255637
Add -1709127 and 171906.5.
-1537220.5
0.137 - 95508677651
-95508677650.863
What is 0.77853 - 51635241?
-51635240.22147
What is 0.28378345 less than 105756?
105755.71621655
Calculate -4961336 - -1644.781.
-4959691.219
What is 0.3 plus -17614963100600?
-17614963100599.7
Put together -43958.3968 and -10407.
-54365.3968
Work out 0 - -365100302.929067.
365100302.929067
Sum 0.578316601304 and 4.
4.578316601304
What is the distance between 2 and 2.43968138204?
0.43968138204
Total of 1255051.46 and 40.
1255091.46
Subtract 178486 from -36252.6.
-214738.6
What is -4 less than 182717556635954?
182717556635958
-898.78+33587958
33587059.22
1258135748+159.97
1258135907.97
Work out -181.826 - 613.9926943.
-795.8186943
Add together -52318296.23 and 20347.
-52297949.23
54840687254 - -8.807
54840687262.807
What is -1.405909 take away -2239079?
2239077.594091
625168.38+0.9892
625169.3692
Calculate 5 + -2005135289.2.
-2005135284.2
Work out -69100211497 + 0.4.
-69100211496.6
-16.7 - -0.00659873
-16.69340127
Sum 0.04 and 118462871.
118462871.04
What is the difference between -2.473 and 10251962136?
10251962138.473
What is -2969 less than 4792052238?
4792055207
What is -0.60465374954 less than -75?
-74.39534625046
Work out 0 + 149787979567273.
149787979567273
-0.4 - -4596741286934
4596741286933.6
Put together 0.69 and 869914153.
869914153.69
What is 0.26 + -680107714.46?
-680107714.2
What is 6596466275.2 less than -3?
-6596466278.2
What is the difference between -967015 and 44876839?
45843854
What is the distance between -6 and -744982.580751?
744976.580751
Add together -269.8 and -1784813019.
-1784813288.8
What is -0.49 less than 115411628151?
115411628151.49
243022+-221231
21791
Sum 54079.9 and 4259.513.
58339.413
Add 88278 and 10888.31.
99166.31
What is -422970608676 plus -0.02?
-422970608676.02
What is 996.101978 plus 2896?
3892.101978
Work out -0.2819 + 52139182.55.
52139182.2681
What is the difference between 2.81420350696 and -3?
5.81420350696
Add 0.004 and 636904588.
636904588.004
463834 + 17205.8
481039.8
Calculate -0.2 + 812604245496.
812604245495.8
Sum -3575.622 and -1349529.
-1353104.622
-211230 + -738820735
-739031965
What is 2 minus 78398065476424?
-78398065476422
What is -106714689 minus 29945?
-106744634
526.82 - 18.93786
507.88214
Add together -0.07 and -28300009019952.
-28300009019952.07
Add 645 and 10862860.56.
10863505.56
What is 0.93461 plus -74.0671?
-73.13249
4 + 9270092.30696
9270096.30696
Add together 845 and -3882133.13.
-3881288.13
What is -1.01 minus 3199627451?
-3199627452.01
Add together 538.94414393 and 3.
541.94414393
What is -0.2 less than -70969897696?
-70969897695.8
Work out 76301767 + 49571.
76351338
Put together 0.113703078 and 18910.
18910.113703078
Total of 3.06154 and 22598.66.
22601.72154
What is -33505972 take away -10764?
-33495208
What is 501664063 minus 565?
501663498
Work out 1.1 - -54594894493.
54594894494.1
What is -36 plus -154517336.70701?
-154517372.70701
Sum 2.544 and -7689361.95.
-7689359.406
5+190617974453
190617974458
Put together -2021536.4 and -400751.
-2422287.4
What is 0.032 plus 5383.06615645?
5383.09815645
Total of -2.675 and -5220.02554.
-5222.70054
Calculate -1.54 + -5271.7179904.
-5273.2579904
What is -14497531676 plus -0.07?
-14497531676.07
Put together -1379788.01 and -24.006.
-1379812.016
What is the distance between -0.55747705 and 319.5?
320.05747705
What is -0.5 plus -7590531997709?
-7590531997709.5
-50136288 + -66.484
-50136354.484
Subtract -3774 from 925593941.
925597715
Calculate 56510.12993 + 65.
56 | {
"pile_set_name": "DM Mathematics"
} |
is smaller: -26 or o?
-26
Let b = -97 + 36. Let l = 61.46 + b. Is l less than 1/4?
False
Let s = 106 + -106. Suppose 4*l - 4 = -s. Is l at least 13/10?
False
Let g = 1421 + -1398. Which is bigger: g or 24?
24
Let c = 6.44 + 2.46. Which is greater: 0 or c?
c
Suppose -5*q = -3*q. Let p be 70/(12 - 7)*15/(-1). Let w = p + 629/3. Which is bigger: q or w?
q
Let v(t) = 4*t + 6. Let q be v(-4). Let f = 36 - 31. Suppose -4*x - 2*s - 16 = 3*s, f*x + s = -41. Are q and x non-equal?
True
Let f = -30 + 37. Suppose 16 = -f*m - 54. Is -2 >= m?
True
Let s be -4*4/(-8) - -2. Suppose 9*w = 6*w + 30. Suppose -s*u + w = u. Is 3 less than u?
False
Suppose 9*f - 4*f + 15 = 0. Let x be f/3 + (-3)/(-1). Suppose 7*z + 5*j + 18 = 4*z, -x*z + 10 = -4*j. Which is bigger: -2 or z?
z
Let q = -0.0123 + -0.0877. Which is greater: q or -1.3?
q
Let a be (-35)/(-21) + 2/(-3). Which is greater: -136 or a?
a
Let q be 1414/(-12) - (-1)/(-6). Let i be 2/39*(-164)/q. Let f = i - -1/177. Is -1 greater than f?
False
Let i be ((-14)/(-25))/(-7)*11. Is i > -2?
True
Let v = 1935 + -3047. Let p = -219062/197 - v. Is 0 greater than or equal to p?
False
Let w = -52 + 50.5. Let f = -1.1 + w. Which is smaller: f or 0.1?
f
Let j = -11.655 - -11.255. Let s = -206/5 + 41. Which is smaller: j or s?
j
Let t(z) = z**3 - 2*z**2 - 3*z - 3. Let d be t(-2). Suppose -10*x = -15*x - 65. Is d equal to x?
True
Let u = 29 - 26. Suppose 3*b + 62 = 4*r, -92 = 5*b - 4*r + u*r. Which is smaller: b or -35/2?
b
Let a be (-4)/(-3*2/(-6)). Let y be -1 - -1 - (29 - 25). Let s be 19/(-4) - (a - y). Which is bigger: s or -4?
-4
Let n = 1.3 + -5. Let p = n + 1.7. Do -0.2 and p have different values?
True
Let o = -164.6 - -166.6. Which is smaller: o or 20/3?
o
Let p(b) = 3*b - 2. Let a be p(-5). Let j = a - -11. Which is smaller: -5 or j?
j
Let a(d) = d**3 + 2*d**2 - 4*d - 6. Let c be a(-3). Let z(y) = y**3 + 6*y**2 + 7*y - 1. Let n be z(c). Which is smaller: 6 or n?
n
Suppose -14 - 2 = -5*k + 4*z, 0 = 5*k + 4*z + 16. Are -4/73 and k nonequal?
True
Let a(i) = i**3 + 9*i**2 - i - 5. Let x be a(-9). Let n be 5/x + (-3)/(-6). Let p(w) = w**2 - 4*w + 5. Let f be p(3). Is f bigger than n?
True
Let n = -303 - -300. Which is smaller: -59 or n?
-59
Let q = -20 + -2. Let y be ((-1)/q)/((-2)/(-96)). Is 3 less than or equal to y?
False
Let x = -23.8525 - 0.0475. Let m = x + 23. Let v = m + 0.8. Which is greater: -3 or v?
v
Let n(i) = i**2 + 13*i + 6. Let o be ((-24)/(-10))/(8/(-40)). Let s be n(o). Let a(j) = 2*j + 2. Let z be a(-4). Is z bigger than s?
False
Let t(a) = -11*a + 19*a - 12*a + 36. Let x be t(5). Is 17 != x?
True
Let z = -968 + 998. Is z greater than or equal to -1?
True
Suppose -12 = -3*c + 4*w, 0 = c - 4*c + 5*w + 9. Let v be 1/(-4) + 385/20. Suppose -o + v = -4*a + 54, 3*a = -3*o + 15. Does a = c?
True
Let p = -0.4 + 0.3. Let n = 0.315 + -0.015. Let m = p + n. Is m at most as big as -6?
False
Let t = 7.3 + -1.7. Let i = -5.94 + t. Is -0.2 less than i?
False
Suppose 5*m - 225 - 455 = 0. Suppose -29 - m = 5*h. Let z be (-4)/((-84)/h) - -2. Are 0 and z equal?
False
Let a = 3236 - 29072/9. Let v = a + -56/9. Let d(z) = z**3 + 8*z**2 + 9*z - 17. Let m be d(-6). Which is greater: m or v?
m
Let m(f) = -f + 1. Let d be m(-1). Let a be 12/((-4)/(-1 - 3)). Let k be (a/4)/(-27)*-6. Which is greater: d or k?
d
Let o(b) be the first derivative of 2 + 1/2*b**2 + 16*b. Let m be o(-17). Is m smaller than -4/7?
True
Let i = 12.3 + 4.1. Let b = i + -1.4. Which is greater: -1 or b?
b
Let t = -407985/197 + 2071. Let k be -6*((-21309)/(-19503) - 1). Let l = k + t. Is -1 greater than or equal to l?
False
Let a(b) = -b**3 + 40*b**2 - 231*b + 1. Let u be a(7). Does u = -12/211?
False
Let s be -2 + -1*(1 - 2). Let v = 2 + s. Let z = -2666/11339 - 2/11339. Is v > z?
True
Let n be (-12)/(-22) + (-48836)/638. Which is smaller: n or -77?
-77
Let j = 43 + -31. Let c = -5 + j. Let a = 0.0158 + -0.0158. Which is bigger: a or c?
c
Let t be 1 - 2 - 20/(-5). Suppose -4*x - 174 = -5*v, -t*x - 60 + 262 = 5*v. Let m be v/(-72) - 12/(-16). Is m equal to -0.2?
False
Suppose b - 2671 = 5*f, 2*b + 1593 = -3*f + 5*b. Is f greater than or equal to 1/3?
False
Let x = 3 - 3.1. Let d = 0.3 + x. Let c = -199/20 + 223/20. Is d < c?
True
Suppose -16*x + 4 = 324. Are 15 and x non-equal?
True
Let c be (1 + -2)*(-23 - -42). Does c = -13?
False
Let g = -13/138 - -1553/10626. Let u = g + 118/693. Let s = 17 - 17. Do u and s have the same value?
False
Let j(n) = 5*n. Let g be j(1). Let x = -22 - -26. Let a = x - g. Which is smaller: -3 or a?
-3
Let i = -78.8984 + -0.1016. Are 1/3 and i unequal?
True
Suppose -753 = -5*f + 2*o, 0*o + 435 = 3*f + 3*o. Is f smaller than 151?
True
Let v(k) = 2*k**2 + 38*k + 93. Let s be v(-16). Suppose -y + 5*y = 16, -2*y = -n - 10. Is s at least n?
False
Suppose -3*v + 2*y + 1 = 0, 0*v = -4*v - y + 5. Let q be 1/((-4)/(-78 + 2)). Let c = 22 - q. Which is greater: c or v?
c
Let l(i) = i**2 - 18*i - 13. Let x be l(19). Let c be x/10*115/184. Which is bigger: 1 or c?
1
Let j = -0.179 - 13.821. Do -2 and j have different values?
True
Let r = -0.0747 + -28.9253. Is r <= 6/5?
True
Let p = 32 + -53. Let h = p + 20. Is h greater than -0.5?
False
Let c = -10 + 29. Let h = 21.5 - c. Let d = h - 2.44. Which is smaller: 2/13 or d?
d
Suppose -3*c + 2*i - 616 = 0, 4*c + 4*i - 6*i = -822. Which is bigger: c or -204?
-204
Let w = -172 + 171. Which is smaller: -174 or w?
-174
Suppose -5*w + v = -113, -27*w - 4*v + 54 = -24*w. Suppose 7*u - 185 = -24. Which is greater: w or u?
u
Let u = -5.5 - -6. Let y = -7.5 - u. Which is smaller: y or -2?
y
Let a = -0.0564 - -2.0564. Is a smaller than 76/5?
True
Suppose -96 = 25*t - 21. Is -77/24 less than t?
True
Let w be (-8)/14 - -4*6/42. Do w and 14 have the same value?
False
Suppose -5*n - 5*z + 101 = -134, -2*n + 3*z + 79 = 0. Suppose 139 = 9*w - 248. Which is smaller: n or w?
w
Let q(h) = -6*h - 2. Let m be q(-1). Suppose -2*s - 48 = -m*w, -2*w - 3*s + 19 + 5 = 0. Suppose -3*p + p + 3*n + 20 = 0, 5*p - 50 = -5*n. Is w at least p?
True
Let n be (-36)/(-6) - (2 - -1). Suppose -5 = 2*x + n. Let u be 1/x + 9/(-12). Is u at most as big as -2/19?
True
Let r = -0.1043 - -0.2043. Let k be 18/(-4)*(3 - 1). Is r >= k?
True
Suppose 0 = -2*d + 88 - 94. Let i be ((d*2)/2)/(7 - -10). Let k be (0 - (-1 - -2))*0. Do k and i have the same value?
False
Let q(a) = -152*a**2 + 4*a - 3. Let w be q(1). Is w at least -153?
True
Let y(b) = b**2 - 9*b + 12. Let d be y(8). Suppose -d*q - 3*h + 51 = 0, -2*h - h = -3*q + 12. Let s = q - 13. Which is smaller: -5 or s?
-5
Let a(v) = -24*v - 256. Let n be a(-10). Which is greater: -61/4 or n?
-61/4
Let j = -9 - -8. Let b = 5.2 + j. Let y = -4 + b. Which is smaller: y or -1/8?
-1/8
Let l be (3 + ((-292)/(-8))/1)*-2. Is l at most -84?
False
Let c(b) = -b**2 + 12*b - 21. Let l be c(5). Suppose 11*o = l*o + 12. Which is greater: -3 or o?
-3
Let x = 168 - 373. Is -205 bigger than x?
False
Suppose -4*j - 10 = 2*f, -2*j - 4*f = -3*j + 20. Let a be (j - (0 + -11)) + -1. Suppose 3*n + 2*t = -0*t + 35, -4*n = 2*t - 44. Which is greater: a or n?
a
Suppose 0 = 5*j - 4*j - 10. Let u be 2/4 + 15/j. Let k = 7 - u. Is k not equal to 6?
True
Suppose -8*s - h = -4*s + 9, -4*h = -2*s. Let d be (-4)/12 + (-16)/(-3). Let p be 1/(d/40*-1). Which is smaller: p or s?
p
Suppose -6*k + 39 - 69 = 0. Which is greater: -9 or k?
k
Suppose -122*c - 42 = -164. Suppose 0 = 3*n - n + 10, -5*y - n + 5 = 0. Which is smaller: y or c?
c
Let p be -1 - 0 - (-2 + 2 + 0). Let f = -1824892 - -3345025642/1833. Let a = -28/39 - f. Is a > p?
True
Let n = 2615 - 2799. Which is smaller: n or -2?
n
Let x = 5224/4653 - 6/517. Suppose -4*j - b - 29 = -10, 2*j = -b - 7. Let p be 2/3*(-9)/j. Which is smaller: p or x?
p
Let r(c) = 5*c - 141. Let p be r(28). Which is bigger: 33 or p?
33
Suppose -5 = 2*o - 37. Let a = 17 - o. Let c be a/7*6/3. Which is smaller: c or -5?
-5
Suppose 3*j - 9 = 3*y, -2*j + 0*j - 6 = 4*y. Let c(x) = x**2 + 11*x + 12. Let p be c(-10). Suppose p*m - u = -3 + j, 0 = 3*u. Which is smaller: -2/7 or m?
m
Let j = -1940 + 1939.5. Which is smaller: j or -74?
-74
Let f(b) = 8*b**3 - b**2 + 1. Let y be f(-1). Let k be (-4)/y*(2 + -2). Suppose 3*o + 3*n - 6 = k, 2*n + 0*n - 6 = -o. Which is bigger: 16 or o?
16
Let p = 169 + -1 | {
"pile_set_name": "DM Mathematics"
} |
21
Calculate the remainder when 191 is divided by 18.
11
Calculate the remainder when 8 is divided by 1.
0
Calculate the remainder when 50 is divided by 49.
1
Calculate the remainder when 1727 is divided by 96.
95
What is the remainder when 9810 is divided by 11?
9
Calculate the remainder when 41 is divided by 25.
16
What is the remainder when 111 is divided by 38?
35
What is the remainder when 100 is divided by 49?
2
What is the remainder when 8202 is divided by 304?
298
Calculate the remainder when 176 is divided by 50.
26
Calculate the remainder when 315 is divided by 9.
0
What is the remainder when 36 is divided by 21?
15
Calculate the remainder when 1633 is divided by 149.
143
What is the remainder when 70 is divided by 19?
13
Calculate the remainder when 137 is divided by 19.
4
Calculate the remainder when 101 is divided by 23.
9
Calculate the remainder when 303 is divided by 52.
43
Calculate the remainder when 178 is divided by 41.
14
Calculate the remainder when 30 is divided by 4.
2
Calculate the remainder when 159 is divided by 57.
45
What is the remainder when 1015 is divided by 337?
4
What is the remainder when 1156 is divided by 274?
60
What is the remainder when 26 is divided by 18?
8
Calculate the remainder when 1116 is divided by 5.
1
Calculate the remainder when 4182 is divided by 1042.
14
Calculate the remainder when 2630 is divided by 523.
15
Calculate the remainder when 126 is divided by 4.
2
What is the remainder when 1803 is divided by 139?
135
Calculate the remainder when 38 is divided by 25.
13
What is the remainder when 1397 is divided by 14?
11
Calculate the remainder when 318 is divided by 101.
15
Calculate the remainder when 379 is divided by 38.
37
Calculate the remainder when 85 is divided by 44.
41
Calculate the remainder when 418 is divided by 85.
78
Calculate the remainder when 137 is divided by 54.
29
What is the remainder when 31 is divided by 3?
1
What is the remainder when 235 is divided by 130?
105
What is the remainder when 688 is divided by 6?
4
What is the remainder when 417 is divided by 162?
93
What is the remainder when 5 is divided by 4?
1
What is the remainder when 771 is divided by 195?
186
Calculate the remainder when 5318 is divided by 17.
14
Calculate the remainder when 163 is divided by 5.
3
Calculate the remainder when 135 is divided by 57.
21
Calculate the remainder when 825 is divided by 337.
151
Calculate the remainder when 264 is divided by 125.
14
What is the remainder when 79 is divided by 26?
1
Calculate the remainder when 1161 is divided by 27.
0
What is the remainder when 173 is divided by 44?
41
Calculate the remainder when 1416 is divided by 83.
5
What is the remainder when 125 is divided by 43?
39
What is the remainder when 93 is divided by 50?
43
Calculate the remainder when 8041 is divided by 65.
46
What is the remainder when 261 is divided by 4?
1
What is the remainder when 5333 is divided by 15?
8
Calculate the remainder when 358 is divided by 46.
36
Calculate the remainder when 5997 is divided by 3.
0
What is the remainder when 924 is divided by 26?
14
Calculate the remainder when 502 is divided by 22.
18
Calculate the remainder when 45 is divided by 7.
3
Calculate the remainder when 546 is divided by 148.
102
Calculate the remainder when 312 is divided by 35.
32
What is the remainder when 685 is divided by 179?
148
Calculate the remainder when 192 is divided by 48.
0
Calculate the remainder when 765 is divided by 96.
93
What is the remainder when 768 is divided by 255?
3
What is the remainder when 245 is divided by 204?
41
What is the remainder when 1015 is divided by 57?
46
What is the remainder when 212 is divided by 35?
2
What is the remainder when 8015 is divided by 11?
7
Calculate the remainder when 285 is divided by 24.
21
What is the remainder when 804 is divided by 26?
24
Calculate the remainder when 6135 is divided by 13.
12
What is the remainder when 39 is divided by 6?
3
What is the remainder when 2315 is divided by 62?
21
Calculate the remainder when 216 is divided by 95.
26
What is the remainder when 381 is divided by 11?
7
What is the remainder when 131 is divided by 66?
65
Calculate the remainder when 812 is divided by 137.
127
What is the remainder when 6077 is divided by 76?
73
Calculate the remainder when 1007 is divided by 84.
83
What is the remainder when 1947 is divided by 25?
22
Calculate the remainder when 3190 is divided by 84.
82
What is the remainder when 2516 is divided by 11?
8
What is the remainder when 810 is divided by 17?
11
Calculate the remainder when 190 is divided by 14.
8
Calculate the remainder when 153 is divided by 22.
21
What is the remainder when 295 is divided by 23?
19
Calculate the remainder when 4019 is divided by 149.
145
What is the remainder when 119 is divided by 30?
29
Calculate the remainder when 3347 is divided by 9.
8
Calculate the remainder when 92 is divided by 27.
11
What is the remainder when 516 is divided by 169?
9
What is the remainder when 2177 is divided by 128?
1
What is the remainder when 8428 is divided by 34?
30
Calculate the remainder when 24597 is divided by 30.
27
What is the remainder when 596 is divided by 15?
11
What is the remainder when 122 is divided by 66?
56
Calculate the remainder when 8854 is divided by 17.
14
Calculate the remainder when 3393 is divided by 12.
9
What is the remainder when 30 is divided by 11?
8
What is the remainder when 57 is divided by 23?
11
What is the remainder when 5771 is divided by 2881?
9
What is the remainder when 158 is divided by 33?
26
Calculate the remainder when 85 is divided by 29.
27
Calculate the remainder when 3015 is divided by 750.
15
Calculate the remainder when 439 is divided by 34.
31
Calculate the remainder when 1464 is divided by 9.
6
What is the remainder when 22 is divided by 10?
2
Calculate the remainder when 296 is divided by 84.
44
Calculate the remainder when 204 is divided by 98.
8
What is the remainder when 116 is divided by 9?
8
What is the remainder when 422 is divided by 107?
101
Calculate the remainder when 7595 is divided by 38.
33
Calculate the remainder when 842 is divided by 169.
166
What is the remainder when 317 is divided by 31?
7
Calculate the remainder when 87 is divided by 31.
25
Calculate the remainder when 6223 is divided by 22.
19
What is the remainder when 765 is divided by 24?
21
What is the remainder when 2647 is divided by 658?
15
Calculate the remainder when 27 is divided by 4.
3
Calculate the remainder when 304 is divided by 31.
25
Calculate the remainder when 3085 is divided by 384.
13
Calculate the remainder when 311 is divided by 76.
7
Calculate the remainder when 12421 is divided by 35.
31
Calculate the remainder when 811 is divided by 135.
1
What is the remainder when 66 is divided by 19?
9
Calculate the remainder when 748 is divided by 26.
20
What is the remainder when 5987 is divided by 14?
9
What is the remainder when 66 is divided by 10?
6
What is the remainder when 643 is divided by 42?
13
What is the remainder when 1649 is divided by 10?
9
What is the remainder when 69 is divided by 14?
13
What is the remainder when 8162 is divided by 157?
155
What is the remainder when 1055 is divided by 46?
43
What is the remainder when 245 is divided by 50?
45
Calculate the remainder when 213 is divided by 59.
36
Calculate the remainder when 669 is divided by 10.
9
What is the remainder when 6364 is divided by 49?
43
What is the remainder when 56 is divided by 15?
11
What is the remainder when 93 is divided by 25?
18
What is the remainder when 87 is divided by 42?
3
What is the remainder when 668 is divided by 132?
8
What is the remainder when 510 is divided by 47?
40
Calculate the remainder when 2378 is divided by 125.
3
Calculate the remainder when 1687 is divided by 24.
7
What is the remainder when 224 is divided by 26?
16
What is the remainder when 2099 is divided by 524?
3
What is the remainder when 3342 is divided by 304?
302
What is the remainder when 27060 is divided by 34?
30
Calculate the remainder when 1397 is divided by 51.
20
What is the remainder when 72 is divided by 16?
8
What is the remainder when 123 is divided by 64?
59
Calculate the remainder when 920 is divided by 62.
52
What is the remainder when 1 | {
"pile_set_name": "DM Mathematics"
} |
4*y**t + 2*y**2 = 0.
-1, 1
Let y(i) be the second derivative of -i**4/28 - 2*i**3/7 + 15*i**2/14 - 14*i. Factor y(n).
-3*(n - 1)*(n + 5)/7
Let y(g) be the second derivative of -g**5/4 + 5*g**4/12 + 21*g. Factor y(w).
-5*w**2*(w - 1)
Suppose -5*d - 1 + 11 = 0. Solve -d*w**3 + 9 + 2*w - 9 = 0.
-1, 0, 1
Let u be (0/(-1))/(4/((-12)/3)). Factor -2/7*o**2 + 2/7 + u*o.
-2*(o - 1)*(o + 1)/7
Determine s so that 12*s**4 - 220*s**2 + 4*s**5 - 8*s**4 + 200*s - 12*s**3 + 24*s**4 = 0.
-5, 0, 1, 2
Let i(t) be the second derivative of -t**4/8 - t**3/2 - 3*t**2/4 - 18*t. What is j in i(j) = 0?
-1
Let a(p) = p**2 - 10*p + 6. Let q be a(12). Let d = q - 27. Factor 7/3*f + 2/3 - d*f**2.
-(f - 1)*(9*f + 2)/3
Suppose 2 = 5*k - 8. Let m = 4 - k. Factor -2/3*v**3 + 2/3*v**m + 0*v + 0.
-2*v**2*(v - 1)/3
Let n(i) = 2*i**3 + 2*i**2 - 4*i. Let t be n(-2). Suppose 2/11*c**2 - 8/11*c**4 + 6/11*c**3 + t + 0*c = 0. Calculate c.
-1/4, 0, 1
Let b = 107 + -103. Let q(h) be the third derivative of 1/12*h**b + 0 - 2*h**2 + 0*h + 1/120*h**5 + 1/3*h**3. Factor q(l).
(l + 2)**2/2
Let c(z) = 6*z - 4. Let s be c(1). Let a(m) be the second derivative of -1/3*m**3 + 0 + 0*m**2 + 2/3*m**4 + s*m. Determine v, given that a(v) = 0.
0, 1/4
Let y(n) be the second derivative of 0*n**2 + 2*n + 1/27*n**3 + 0 - 1/54*n**4. Factor y(t).
-2*t*(t - 1)/9
Let f(q) = -2*q**3. Suppose 2*l + 6 = -0, -2*l - 10 = -2*m. Let b(p) = -10*p**3 + p**2 - p - 1. Let u(n) = m*b(n) - 11*f(n). What is x in u(x) = 0?
-1, 1
Let i(l) be the second derivative of l**5/270 + l**4/108 + 2*l**2 + 3*l. Let a(h) be the first derivative of i(h). Find k such that a(k) = 0.
-1, 0
Let w = 9 + -5. Suppose 3*y + 5*b - 37 = 0, -y + 4*y - w*b + 8 = 0. Factor -2/3*p**y - 4/3 - 10/3*p**3 - 6*p**2 - 14/3*p.
-2*(p + 1)**3*(p + 2)/3
Let h(o) be the third derivative of -o**6/105 + 3*o**5/70 + 5*o**4/42 - o**3/7 - 3*o**2. Suppose h(x) = 0. What is x?
-1, 1/4, 3
Let g(r) be the second derivative of -r**4/42 - 4*r**3/21 - 3*r**2/7 + 12*r. Factor g(v).
-2*(v + 1)*(v + 3)/7
Suppose 0 = 42*b - 14*b. Factor 1/4*r**2 + b*r - 1/4.
(r - 1)*(r + 1)/4
Let w(j) be the second derivative of -j**5/120 + j**3/36 + 6*j. Suppose w(p) = 0. Calculate p.
-1, 0, 1
Suppose o - 4*u + 8*u = 8, 5*u = 0. Suppose -3*l - o = 2*w, 0 = -5*w + l - 4*l - 2. Let -1/4*p**w - 1/2*p - 1/4 = 0. Calculate p.
-1
Let k = -28 + 14. Let n be (15/35)/((-8)/k). Let -3/4*v**3 - 1/4*v**2 + n*v - 1/4 + 1/2*v**4 = 0. What is v?
-1, 1/2, 1
Factor 4/7*n - 4/7*n**3 - 8/7 + 8/7*n**2.
-4*(n - 2)*(n - 1)*(n + 1)/7
Let j(p) be the second derivative of -p**6/6 + 2*p**5/5 - p**4/12 - p**3/3 + 5*p. Factor j(d).
-d*(d - 1)**2*(5*d + 2)
Let d(x) be the third derivative of x**7/12600 - x**6/1800 + x**5/600 + x**4/8 - 2*x**2. Let k(f) be the second derivative of d(f). Factor k(n).
(n - 1)**2/5
Let l(t) be the first derivative of 2*t**5/5 + 5*t**4/6 - 2*t**3/9 - 5*t**2/3 - 4*t/3 - 8. Find c, given that l(c) = 0.
-1, -2/3, 1
Let r(o) be the second derivative of 3/40*o**5 + 7*o + 23/24*o**4 + 13/12*o**3 + 0 - 3/20*o**6 + 1/2*o**2. Suppose r(y) = 0. Calculate y.
-1, -1/3, 2
Suppose -2*k**2 + k**3 - 2*k**2 + 3*k**2 = 0. Calculate k.
0, 1
Suppose 0*x = -3*x + 6. Factor -1 - 2*u - 2*u**x + 3 - 2*u**3 + 4*u**3.
2*(u - 1)**2*(u + 1)
Let k(y) be the second derivative of 0 + 1/12*y**4 - 1/2*y**2 - 1/20*y**5 + 1/6*y**3 - 4*y. What is z in k(z) = 0?
-1, 1
Let y(s) be the third derivative of s**8/2184 + 2*s**7/1365 - s**6/780 - s**5/195 + 3*s**2. Suppose y(n) = 0. Calculate n.
-2, -1, 0, 1
Determine z, given that 10*z**2 + 20 - 5*z**3 + 2*z + 9*z + 24*z = 0.
-1, 4
Let h = 247/5 + -49. Suppose 2/5*i + 0 + h*i**2 = 0. What is i?
-1, 0
Let b be (-14)/(-119)*(-37)/(-6). Let c = b + -1/17. Let 0 + c*a**2 + 0*a = 0. Calculate a.
0
Let u be (-92)/(-6) - 8/24. Suppose -2*d + 10 = m + 2*m, -2*m + 3*d - u = 0. Determine x, given that -2/3*x**3 - 2/3*x**2 + m + 0*x = 0.
-1, 0
Let d be (63/56)/((-21)/(-28)). Solve 0*z**2 + 1/2*z - d*z**3 + 0 - z**4 = 0 for z.
-1, 0, 1/2
Let f(h) be the third derivative of 0*h**3 - 1/672*h**8 - 1/420*h**7 + 0*h**4 + 0 + 1/120*h**5 - 2*h**2 + 1/240*h**6 + 0*h. Factor f(b).
-b**2*(b - 1)*(b + 1)**2/2
Let q be 1/((-2)/4 + 1). Suppose q*d = 10 - 6. Factor -1/4*h**3 - 1/4*h**d + 0 + 1/2*h.
-h*(h - 1)*(h + 2)/4
Let p(r) = -r. Let o be p(-4). Let b(c) be the first derivative of -1/8*c**2 + 1/12*c**3 + 1/16*c**o + 1 - 1/4*c. Find z, given that b(z) = 0.
-1, 1
Let n(y) be the third derivative of -243*y**6/40 - 189*y**5/20 - 6*y**4 - 2*y**3 + y**2. Factor n(b).
-3*(3*b + 1)*(9*b + 2)**2
Let f(w) = w + 7. Let l be f(-5). Suppose -4*m = -l*t - 20, 3*m + t - 16 = 3*t. Factor -k**4 + 4*k**m + 6*k**2 + 0*k**4 + 9*k**3.
3*k**2*(k + 1)*(k + 2)
Find h, given that 1/2*h**2 + 1/2 + h = 0.
-1
Let r(x) be the third derivative of 0*x**3 - 1/120*x**6 + x**2 + 0 - 1/120*x**5 + 0*x**4 - 1/420*x**7 + 0*x. Determine a, given that r(a) = 0.
-1, 0
Let h(q) be the second derivative of q**7/525 - q**6/100 + q**4/15 - 2*q**2 + 4*q. Let x(f) be the first derivative of h(f). What is v in x(v) = 0?
-1, 0, 2
Suppose -42*j**3 - 2*j**3 - j**3 - 120*j**4 - 5*j**2 - 80*j**5 = 0. What is j?
-1, -1/4, 0
Factor 2 + 8/3*x**2 - 26/3*x.
2*(x - 3)*(4*x - 1)/3
Let p = -4/21 + 11/21. Suppose b - 3*b = 2*j - 10, j = 5. Find s, given that 0*s + b + p*s**2 = 0.
0
Suppose 5*g - g - 36 = -4*i, -4*g + 40 = 5*i. Suppose i*l = 11*l - 14. Solve 6/5 - 3/5*j - 3/5*j**l = 0 for j.
-2, 1
Let w(k) be the third derivative of -1/18*k**3 - 1/180*k**6 + 0*k**5 + 1/630*k**7 + 0*k + 0 + 1/36*k**4 - 2*k**2. Factor w(i).
(i - 1)**3*(i + 1)/3
Let -40 + 36*n + 16*n**2 - 6*n - 21*n**2 = 0. Calculate n.
2, 4
Let r be (36/45)/(3/(-20)). Let t = r + 124/21. Let t*u - 2/7 - 2/7*u**2 = 0. Calculate u.
1
Solve 4/3*d + 1/3*d**2 + 4/3 = 0.
-2
Let p(j) be the first derivative of -j**7/1680 - j**6/720 + 7*j**3/3 + 9. Let y(z) be the third derivative of p(z). Factor y(l).
-l**2*(l + 1)/2
Let b(t) be the third derivative of 0 - 1/420*t**6 + 2*t**2 - 1/105*t**5 + 1/84*t**4 + 2/21*t**3 + 0*t. Let b(f) = 0. Calculate f.
-2, -1, 1
Factor -1/3*i**3 + 1/6 + 1/3*i**2 - 1/2*i**4 - 1/6*i**5 + 1/2*i.
-(i - 1)*(i + 1)**4/6
Factor -4/5*v**3 - 12/5*v**2 + 12/5 + 4/5*v.
-4*(v - 1)*(v + 1)*(v + 3)/5
Determine i, given that 1286 - 2*i**2 + i + 3*i**3 - 1284 - 4*i**3 = 0.
-2, -1, 1
Let b(m) = m - 2. Let v(d) = d**2 - d - 1. Let g(a) = -b(a) - v(a). Let u be g(0). Let 0*y**u - 4*y**3 + 8 + 8*y - 3*y**2 - 3*y**2 + 2*y**4 = 0. What is y?
-1, 2
Suppose 2*v = -4*g - 20, -2*v = 7*g - 2*g + 25. Factor -2/7*t**2 + v + 0*t + 2/7*t**3 - 2/7*t**5 + 2/7*t**4.
-2*t**2*(t - 1)**2*(t + 1)/7
Let z be (2/(-30))/((-5)/15). Let j(a) be the first derivative of -1/3*a**3 - 2 + z*a**5 + 0*a - 1/4*a**4 + 1/2*a**2. What is t in j(t) = 0?
-1, 0, 1
Let n(a) = -8*a. Let j be n(-1). Factor -b**3 - 5*b**3 - 2*b**2 - 4*b - j*b**2.
-2*b*(b + 1)*(3*b + 2)
Let d = -12/203 + 10/29. What is x in d - 2/7*x**2 + 0*x = 0?
-1, 1
Let j(r) = r + 7. Let p be j(-5). Suppose -6 = 3*x + 4*t, p*t = -0*x + 5*x - 16. Suppose -2*n + 0 - 1 + 4*n - n**x = 0. What is n?
1
Solve -147/2*x**2 + 84*x - 24 = 0 for x.
4/7
Let g(z) be the first derivative of -7*z**4/38 + 46*z**3/57 - 20*z**2/19 + 8*z/19 + 7. Suppose g(p) = 0. What is p?
2/7, 1, 2
Let l(c) be the first derivative of -2*c**3/3 + 2*c**2 + 1. Find o such that l(o) = 0.
0, 2
Let z(m) be the third derivative of 0*m - m**2 - 1/30*m**5 + 1/6*m**4 + 0 - 1/3*m**3. Determine g, given that z(g) = 0.
1
Let v(t) = t**4 + t**2 - 1. Let m(k) = 8*k**4 + 10*k**3 + 24*k**2 + 14*k - 2. Let p(g) = 2*m(g) - 12*v(g). Solve p(z) = 0 for z.
-2, -1
Let m(d) = -d**3 - 10*d**2 - d - 7. Let f be m(-10). Factor -2/5*s**5 + 2/5*s**4 + 2/5 - 2/5*s + 4/5*s**f - 4/5*s**2.
-2*(s - 1)**3*(s + 1)**2/5
Solve -h**2 + 9*h**2 + 2*h + 0*h**2 - 9*h**2 - 1 = 0.
1
Let p be 18/14 + 8/2 + -5. Factor p*r**5 + 0*r**2 + 0 - 4/7*r**3 + 2/7*r + 0*r**4.
2*r*(r - 1)**2*(r + 1)**2/7
Let j(d) be the third derivative of 0*d**3 - 1/21*d**7 + 0*d**4 + 0 + 1/56*d**8 + 0*d - 1/15*d**6 + 9*d**2 + 2/15*d**5. Let j(z) = 0. Calculate z.
-1, 0, 2/3, 2
Let r = -22 - -28. Let v(p) be the third derivative of -1/12*p**4 - 2*p**2 + 1/20*p**5 + 0*p**3 - 1/120*p**r + 0*p + 0. What is b in v(b) = 0?
0, 1, 2
Let a(k) be the third derivative of k**6/600 + k** | {
"pile_set_name": "DM Mathematics"
} |
Find the first derivative of -52*w**2 - 33*w - 7588 wrt w.
-104*w - 33
Find the second derivative of 2*n**2*v**3 - 2*n**2 + 5*n*v**3 + 1165*n*v - 25*v**3 wrt v.
12*n**2*v + 30*n*v - 150*v
What is the second derivative of 879*a**2*p**2 + 84*a**2*p + 5*a*p**4 + p wrt p?
1758*a**2 + 60*a*p**2
Find the second derivative of 9222*v**3 - 2*v**2 + 30140*v.
55332*v - 4
What is the second derivative of -521*t**2 + 174*t?
-1042
Find the third derivative of 2*o**3*t**3 - 6*o**3*t**2*z + o**3*t**2 - 351*o**2*t**3*z - 37*t*z wrt t.
12*o**3 - 2106*o**2*z
What is the second derivative of 178*d**3 + 132*d wrt d?
1068*d
Differentiate -1168*l*n**4 + 2*l + 486 with respect to n.
-4672*l*n**3
Find the first derivative of -116*d**2 - d + 5948 wrt d.
-232*d - 1
Find the third derivative of 4585*z**3 - 2114*z**2 - 1.
27510
Differentiate -2*m**4 - 69*m**3*s + 20*s + 1 wrt m.
-8*m**3 - 207*m**2*s
Find the second derivative of -101*o**2*r**2 - 8*o**2*r + 10*o**2 + 2*o*r wrt r.
-202*o**2
Find the third derivative of -1127*m**3*x**2 + 7*m**3*x + m**2*x + m + 11589*x**2 wrt m.
-6762*x**2 + 42*x
Differentiate 5*j**2 + 19*j + 30 with respect to j.
10*j + 19
Find the first derivative of 504*q**2 - 3102 wrt q.
1008*q
Differentiate 2062*l**4 - l**3*w**2 - 3530*w**2 with respect to l.
8248*l**3 - 3*l**2*w**2
Find the second derivative of 104*h**4 - 248*h wrt h.
1248*h**2
Find the second derivative of -1929*r**2 - 5*r - 1 wrt r.
-3858
Find the third derivative of -2516*c**6 - 2*c**2 + 1244 wrt c.
-301920*c**3
Find the second derivative of -347*y**5 - y - 514.
-6940*y**3
What is the first derivative of 17*n**4*w - 2*n**3*w - 2*n*w + 62*w - 1 wrt n?
68*n**3*w - 6*n**2*w - 2*w
Find the third derivative of 89*j**3 + 131*j**2 wrt j.
534
What is the second derivative of 319*j**5 - 15*j**2*x**3 - 19*j*x**3 - 169*x**2 wrt j?
6380*j**3 - 30*x**3
Find the third derivative of -b**3*h*k**3 + 334*b**3*k**3 + 3*b**3*k**2 + 3*b**2*h*k**2 + b**2*k**2 - b*h*k**3 - 77*h wrt k.
-6*b**3*h + 2004*b**3 - 6*b*h
What is the second derivative of 2927*w**3 - 2*w**2 - 74*w + 21?
17562*w - 4
What is the third derivative of -g**4 + 1890*g**3 - 1385*g**2 - g?
-24*g + 11340
What is the second derivative of -b**4 - 86*b**3*n - 2570*b*n - 2*b wrt b?
-12*b**2 - 516*b*n
Find the second derivative of 3*w**3 - 16*w**2 - 275*w + 2.
18*w - 32
What is the third derivative of 4284*u**3 - 650*u**2 + 3?
25704
What is the first derivative of 1745*g*r**2 + 378*r**2 wrt g?
1745*r**2
What is the second derivative of -3*g**3 - 143*g**2 + 37*g - 2?
-18*g - 286
What is the second derivative of u**3*w + 32*u**3 - 3*u**2*w + 4142*u*w wrt u?
6*u*w + 192*u - 6*w
Find the second derivative of 34*z**5 - 362*z.
680*z**3
Find the third derivative of -97*u**3 + 1290*u**2 wrt u.
-582
What is the third derivative of -3*i**5*t + i**5 + 29*i**3*t + 40*i**2 - 2*i*t - 5*t wrt i?
-180*i**2*t + 60*i**2 + 174*t
What is the derivative of -a*b*o**3*t - 5*a*b*t - a*o**2 + 16*b*o**3 + b wrt t?
-a*b*o**3 - 5*a*b
Find the second derivative of -81*m**2 - 4*m - 24 wrt m.
-162
Differentiate -2*d**4*r - 18407*d**3*r**2 - 30909*r**2 wrt d.
-8*d**3*r - 55221*d**2*r**2
Find the third derivative of 28864*c**4*s**3 - 2*c**2*s + 1129*s**3 wrt c.
692736*c*s**3
Find the second derivative of 461*u**4 - 75*u + 4.
5532*u**2
What is the second derivative of -6308*b**4 - b**3 - 7186*b?
-75696*b**2 - 6*b
Find the third derivative of 1198*n**3 - 2*n**2 + 18*n - 59 wrt n.
7188
What is the second derivative of m*o**5 - 31*m*o**2 + 15*m*o*s**3 + 3*m*o*s**2 - 5*o**2*s**3 - o*s + 9*s wrt o?
20*m*o**3 - 62*m - 10*s**3
What is the second derivative of 9*i**3*q**2 - 2*i**3*q + 4*i**2*q + 36*i*q + 3*q**5 wrt q?
18*i**3 + 60*q**3
What is the second derivative of 101*j**3*v**2 + 168*j**3*v wrt v?
202*j**3
Differentiate 9*i**3 + 82*i + 3783.
27*i**2 + 82
What is the second derivative of y**3 - 146*y**2 + 339*y wrt y?
6*y - 292
Differentiate -738*b - 189 wrt b.
-738
Find the third derivative of 2876*i**6 - 2*i**4*m**2 + 235*i**2*m**2 - 3*i**2*m - 2*i**2 wrt i.
345120*i**3 - 48*i*m**2
Find the second derivative of -383*o**4 + 2034*o wrt o.
-4596*o**2
Differentiate 5116*p**3 - 12014.
15348*p**2
What is the derivative of 2*c**3 - 419*c*h**2 + 1433*h**2 wrt c?
6*c**2 - 419*h**2
What is the third derivative of -26*h**4*o**3 + 20*h**3*o**3 + 23*h**2*o**3 + 60*h**2*o wrt h?
-624*h*o**3 + 120*o**3
Find the third derivative of -3901*q*u**3 + 2*q*u**2 - 64*q + 2*u**2 wrt u.
-23406*q
Find the first derivative of -h**3*n*y - h**3*u*y - 5*h**3 - 21*h**2*n*y + 8*h*n*u + 3*h*u*y wrt u.
-h**3*y + 8*h*n + 3*h*y
What is the first derivative of 3828*w + 4080 wrt w?
3828
What is the third derivative of -2*b*p**2*s**3*t + 72*b*p**2*s**3 - 6*b*p*s**2*t + 14*b*p*t + 2*p**2 wrt s?
-12*b*p**2*t + 432*b*p**2
Find the first derivative of -77*j**3 - 2*j + 214.
-231*j**2 - 2
What is the derivative of -23*m**2*v**2 + 6*m**2*v - 121*v**2 - 1 wrt m?
-46*m*v**2 + 12*m*v
What is the third derivative of 75*h**2*y**3 - 2*h**2*y**2 - 2*h*y**6 + 2*h*y**2 + 7*y**2 wrt y?
450*h**2 - 240*h*y**3
Find the second derivative of -514*b**2*q**2 + 3*b**2 + 41*b*q wrt q.
-1028*b**2
What is the third derivative of 10*s**5 - 73*s**3 - 2974*s**2?
600*s**2 - 438
What is the derivative of -4*g**2*w - 5*g**2 - 190*w wrt g?
-8*g*w - 10*g
Find the second derivative of 6*g**3*i - 64*g**3 + 4*g**2*i - 11*g*i - g - 2*i - 20 wrt g.
36*g*i - 384*g + 8*i
What is the first derivative of 171*b**2*q**2*w + b**2*q*s*w**2 + b**2*q - b**2 - 2*b*s + 58*q**2*s wrt w?
171*b**2*q**2 + 2*b**2*q*s*w
Find the second derivative of -160*h**2*k*m**2 - 2*h**2*k*m + 2*h**2*k - h*k*m**2 - 4*h*m**2 - 30*k*m**2 wrt h.
-320*k*m**2 - 4*k*m + 4*k
Differentiate -7*c*w - 3*c*z + 39*c - 2*w*z + 4*w + 2*z wrt w.
-7*c - 2*z + 4
What is the third derivative of -303*k**3 + 1074*k**2 - 1 wrt k?
-1818
What is the derivative of 2*b*c*t**2*u + 2*b*c*u + 53*b*c - 2*b*t**2 - 80*b*t*u - 28*c*u wrt t?
4*b*c*t*u - 4*b*t - 80*b*u
What is the second derivative of 2*i**3*l - 5*i**2*l**3 + 18*i**2 - 7*i*l**2 - l**3 + 2 wrt i?
12*i*l - 10*l**3 + 36
What is the second derivative of -2*b**3 + 104*b**2 - 186*b?
-12*b + 208
Differentiate 79*v**3 - 7*v**2 - 1355.
237*v**2 - 14*v
Find the first derivative of -6700*g**3*v - g**3 - 3*g + 148 wrt v.
-6700*g**3
Find the second derivative of -23*p**2*u**2 + 166*p**2*u - 4*u**2 wrt u.
-46*p**2 - 8
Find the third derivative of 1684*s**3 - s**2 - 2*s + 156.
10104
What is the third derivative of 103*v**4 - 22*v**3 + 383*v**2 + 3*v wrt v?
2472*v - 132
What is the second derivative of -627*f**3*j**2*v**2 + f**3*j + 236*f**3*v**2 - 2*f**3*v + j**2 wrt j?
-1254*f**3*v**2 + 2
What is the first derivative of -2*k*s**3*z + 2*k*s**3 - 374*k*s*z + 255*s**3*z - z wrt k?
-2*s**3*z + 2*s**3 - 374*s*z
What is the third derivative of -198*i*k**5 + 5*i*k**3 + 1089*i*k**2 - k**2 wrt k?
-11880*i*k**2 + 30*i
What is the derivative of 3*b**2*h*i*j + 2*b**2*h*j - 70*b**2*i*j - 8*h*j - 2*i*j wrt h?
3*b**2*i*j + 2*b**2*j - 8*j
Find the third derivative of 54*g**4 - 7*g**3 + 1354*g**2.
1296*g - 42
Find the second derivative of 231*c**2*r**2 + 5*c*r**2 + r**2 + 5*r wrt c.
462*r**2
Find the first derivative of -4*i**3*j + 2*i**3 - 35*i**2*j - 1086 wrt j.
-4*i**3 - 35*i**2
What is the second derivative of -5883*v**2 - 2921*v?
-11766
What is the second derivative of 29*r*z**2 + 2*r*z - 241*r - 116*z**2 - 2*z + 1 wrt z?
58*r - 232
Find the second derivative of -107*n**5 - 2*n**3 + 2*n**2 - 10696*n.
-2140*n**3 - 12*n + 4
Find the third derivative of -2*h**4 + 191*h**3 + 63*h**2.
-48*h + 1146
Differentiate -333*t + 1985 with respect to t.
-333
Find the first derivative of -89*c**4 - 1124.
-356*c**3
What is the third derivative of c*n**3 - 6*c*n - 149*n**3 - 11*n**2 wrt n?
6*c - 894
Differentiate -a*v + 6157*a + 4412*v wrt a.
-v + 6157
What is the first derivative of -3*o**2 - 3*o + 210 wrt o?
-6*o - 3
Differentiate 293*n + 578 wrt n.
293
What is the second derivative of 27*f**2*h*x - 14*f**2*x - f*h*x + 57*f*h wrt f?
54*h*x - 28*x
What is the first derivative of 29*p**4 - 115?
116*p**3
What is the third derivative of -k**3*m**2*n + k**3*n**3 - 31*k**2*m**2 - 2*k**2*m*n**3 - k*m**2*n**3 + 2*m**2*n**2 wrt n?
6*k**3 - 12*k**2*m - 6*k*m**2
What is the second derivative of -60*j**2 + | {
"pile_set_name": "DM Mathematics"
} |
s the next term in 1751, 1752, 1753, 1754?
1755
What is the next term in 227, 454, 687, 926, 1171, 1422, 1679?
1942
What is the next term in -242, -912, -2028, -3590, -5598, -8052?
-10952
What is next in -500, -1000, -1500?
-2000
What is next in 237, 251, 283, 339, 425, 547, 711, 923?
1189
What comes next: -149, -151, -153, -155?
-157
What comes next: -1060, -1054, -1048?
-1042
What comes next: -230, -268, -306, -344, -382, -420?
-458
What is the next term in -23, -91, -205, -365, -571?
-823
What is next in -1125, -1123, -1121, -1119, -1117?
-1115
What is the next term in 66, 51, 26, -9, -54, -109, -174?
-249
What is the next term in 259, 267, 275, 283, 291?
299
What is the next term in -20, 183, 530, 1027, 1680, 2495, 3478, 4635?
5972
What is the next term in 230, 224, 216, 206?
194
What is the next term in -1296, -2597, -3908, -5235, -6584, -7961, -9372?
-10823
What comes next: 20, 29, 36, 35, 20, -15?
-76
What comes next: 2702, 2706, 2720, 2750, 2802, 2882?
2996
What is next in 380, 759, 1148, 1553, 1980?
2435
What is the next term in -4, -30, -88, -190, -348, -574?
-880
What is next in -34, -121, -264, -463, -718, -1029?
-1396
What is the next term in 279, 1146, 2591, 4614?
7215
What is next in -14, -46, -84, -128, -178, -234?
-296
What is next in -13, -76, -175, -304, -457, -628, -811, -1000?
-1189
What comes next: 46, 53, 62, 73?
86
What is next in -1778, -1790, -1818, -1868, -1946, -2058, -2210, -2408?
-2658
What is the next term in -50, -27, -6, 13, 30, 45, 58?
69
What comes next: -19, -17, -3, 29, 85, 171, 293, 457?
669
What is the next term in 31, 35, 41, 49, 59?
71
What comes next: 32, 24, 6, -28, -84, -168?
-286
What comes next: 1469, 1476, 1487, 1502?
1521
What comes next: 20, 42, 66, 92, 120, 150?
182
What is next in 139, 277, 415, 553?
691
What comes next: 795, 800, 807, 816, 827?
840
What is next in -61, -123, -185, -247, -309, -371?
-433
What is the next term in 22, 39, 64, 97, 138, 187?
244
What comes next: 103, 212, 323, 436?
551
What comes next: 48, 104, 160, 216, 272?
328
What is the next term in 252, 506, 762, 1020, 1280, 1542?
1806
What is next in -64, -115, -164, -211, -256, -299?
-340
What is the next term in 6, 101, 354, 843, 1646, 2841, 4506, 6719?
9558
What is the next term in 40, 142, 318, 574, 916?
1350
What comes next: 129, 124, 119, 114, 109?
104
What is next in -66, -61, -56, -51?
-46
What is next in 9, 21, 57, 129, 249, 429, 681, 1017?
1449
What is the next term in -464, -463, -462, -461, -460, -459?
-458
What comes next: -19, -21, -9, 29, 105, 231, 419?
681
What is the next term in -62, -124, -188, -254, -322?
-392
What is next in 10223, 10221, 10219, 10217?
10215
What comes next: -14, -74, -232, -536, -1034, -1774, -2804, -4172?
-5926
What is next in -128, -115, -90, -47, 20, 117, 250?
425
What is next in -47, -36, -17, 10, 45?
88
What is the next term in 18191, 18194, 18197, 18200?
18203
What is next in 16802, 16803, 16804, 16805?
16806
What is the next term in 3429, 3424, 3409, 3378, 3325, 3244, 3129?
2974
What comes next: 34, 10, -76, -224, -434, -706, -1040?
-1436
What comes next: 9, 74, 141, 210, 281, 354?
429
What is next in 3020, 3040, 3082, 3152, 3256?
3400
What is next in -30806, -30805, -30804, -30803, -30802?
-30801
What is next in -3070, -3083, -3110, -3157, -3230, -3335, -3478, -3665?
-3902
What is the next term in 435, 421, 381, 303, 175, -15, -279?
-629
What is the next term in 450, 902, 1354?
1806
What is the next term in 1336, 2668, 4000, 5332?
6664
What is the next term in -58, -51, -42, -31, -18, -3?
14
What is next in 14, 58, 132, 236, 370?
534
What comes next: 4745, 4744, 4743, 4742, 4741?
4740
What is next in -20, -29, -52, -95, -164, -265, -404?
-587
What comes next: 48, 5, -112, -339, -712, -1267?
-2040
What is the next term in 56, 61, 76, 107, 160, 241?
356
What is the next term in 14, 32, 76, 158, 290, 484, 752, 1106?
1558
What is the next term in -6, -5, -8, -15, -26, -41, -60?
-83
What is the next term in 6, 3, -4, -15, -30, -49?
-72
What is next in 99, 96, 93?
90
What comes next: -33, -62, -87, -108, -125?
-138
What comes next: 94, 171, 240, 295, 330, 339, 316?
255
What comes next: 35, 164, 513, 1190, 2303, 3960, 6269?
9338
What is next in -12, -23, -34, -45?
-56
What is the next term in 3610, 3603, 3592, 3577, 3558, 3535, 3508?
3477
What comes next: 17485, 34969, 52453, 69937?
87421
What comes next: 48, 226, 534, 972, 1540, 2238, 3066?
4024
What is next in 518, 1054, 1592, 2132, 2674, 3218?
3764
What is the next term in 473, 474, 475?
476
What comes next: -12, -13, -2, 27, 80, 163?
282
What comes next: 180, 196, 224, 264, 316, 380, 456?
544
What is the next term in 543, 544, 545, 546?
547
What is next in 14, 25, 42, 65, 94, 129?
170
What is next in -35, -23, -11, 1, 13, 25?
37
What comes next: 1, -35, -129, -311, -611?
-1059
What is next in 38, 307, 1032, 2441, 4762?
8223
What is next in -544, -1095, -1656, -2233, -2832, -3459?
-4120
What comes next: -27, -108, -241, -426, -663?
-952
What comes next: 66, 178, 364, 624, 958?
1366
What comes next: 681, 680, 679?
678
What is next in 10, -11, -26, -35?
-38
What is next in 24, 76, 152, 258, 400, 584, 816?
1102
What comes next: -241, -420, -599, -778?
-957
What comes next: -100, -242, -382, -520, -656?
-790
What comes next: -1, 9, 23, 41, 63?
89
What is next in 247, 234, 199, 130, 15, -158?
-401
What comes next: -527, -1047, -1567, -2087?
-2607
What is next in -1504, -1500, -1484, -1450, -1392, -1304?
-1180
What is the next term in 5, 27, 63, 113, 177, 255?
347
What comes next: 70, 264, 590, 1054, 1662, 2420, 3334?
4410
What is the next term in 7634, 7631, 7628, 7625?
7622
What comes next: 103, 123, 163, 229, 327, 463, 643?
873
What comes next: -20, -81, -248, -575, -1116, -1925?
-3056
What is the next term in -60, -245, -554, -987?
-1544
What is next in 454, 1816, 4086, 7264, 11350, 16344, 22246?
29056
What is the next term in 19, 23, 15, -11, -61, -141, -257, -415?
-621
What is the next term in 24, 33, 48, 69, 96, 129?
168
What comes next: 60, 117, 174, 231, 288?
345
What comes next: -449, -912, -1389, -1880?
-2385
What comes next: 1731, 1735, 1741, 1749?
1759
What is the next term in 62, 50, 38?
26
What is next in 8, -86, -242, -460, -740?
-1082
What is the next term in -1278, -1274, -1268, -1260?
-1250
What is next in 1580, 1576, 1570, 1562, 1552, 1540, 1526?
1510
What comes next: -1820, -1808, -1794, -1778, -1760, -1740?
-1718
What is the next term in 8, 26, 54, 92, 140, 198, 266?
344
What is the next term in 493, 991, 1489?
1987
What comes next: 25, 20, -7, -68, -175, -340, -575?
-892
What is the next term in 3, 38, 99, 186, 299, 438?
603
What comes next: -29, -32, -37, -44, -53, -64, -77?
-92
What is the next term in -52, -108, -164, -220, -276, -332?
-388
What is the next term in -13, -70, -231, -550, -1081, -1878, -2995?
-4486
What comes next: -76, -472, -1528, -3574, -6940?
-11956
What is the next term in -11, -58, -179, -410, -787, -1346, -2123, -3154?
-4475
What is the next term in 6576, 6571, 6552, 6513, 6448?
6351
What is the next term in 144, 133, 114, 87, 52, 9, -42?
-101
What comes next: -116, -462, -1024, -1796, -2772, -3946, -5312?
-6864
What comes next: 811, 809, 805, 799, 791?
781
What is next in -336, -345, -356, -369, -384, -401?
-420
What is the next term in 251, 460, 681, 920, 1183, 1476, 1805?
2176
What is the next term in -186, -178, -164, -144?
-118
What comes next: -1595, -1594, -1593, -1592, -1591, -1590?
-1589
What is the next term in -18, -31, -46, -63?
-82
What is next in 104, 210, 318, 428, 540, 654?
770
What is the next term in 87, 359, 813, 1449?
2267
What is the next term in -1241, -1242, -1243, -1244?
-1245
What comes next: -237, -483, -729?
-975
What is the next term in 6719, 6724, 6731, 6740, 6751?
6764
What is next in -2242, -2235, -2226, -2215, -2202, -2187?
-2170
What is the next term in 22, 43, 68, 97, 130?
167
What is next in -128, -100, -70, -38?
-4
What is next in 1231, 1232, 1233, 1234?
1235
What is the next term in 195, 218, 255, 312, 395, 510?
663
What is next in 74, 72, 70, 68, 66?
64
What is next in 700, 701, 702?
703
What is next in -107, -109, -111, -113?
-115
What is next in -849, -837, -827, -819?
-813
What is next in 27, 170, 529, 1212, 2327, 3982?
6285
What is next in -293 | {
"pile_set_name": "DM Mathematics"
} |
alue? (a) -10 (b) 2129312 (c) -2
a
Which is the smallest value? (a) -3.53 (b) -380 (c) -1511
c
Which is the second biggest value? (a) 401 (b) 0 (c) -355 (d) 0.06
d
Which is the third smallest value? (a) 27 (b) -12 (c) 2/11 (d) 148 (e) -3 (f) 3
c
What is the third biggest value in -0.2, 4, 2, 0, -1761, -2/15?
0
What is the third smallest value in -0.2, 41/90, 2/9, 62, -0.3?
2/9
What is the biggest value in -0.328, 0.5, 4, 2/11, -0.002, 252?
252
What is the third smallest value in 0.052, -5, 0, -0.653?
0
What is the seventh smallest value in -0.08, -24, 2/19, -4, -1, -2, 1/35?
2/19
What is the seventh biggest value in -0.4, 19.1, -5, 8, 0.26, -7, 91?
-7
What is the second biggest value in 2/7, 1/8, -234/5, 2/67, 2/5, 3/2?
2/5
What is the second smallest value in 0.2, -1.77, 6, -2.6?
-1.77
What is the biggest value in 5, -839, -963/25?
5
What is the seventh biggest value in 2, 7, 25, 0.01, -4, -16, 0?
-16
What is the fourth smallest value in 460, 2/11, -6011, -8?
460
Which is the biggest value? (a) 26432/9 (b) -4/7 (c) -0.01 (d) -2 (e) -0.2
a
Which is the sixth smallest value? (a) -3 (b) -1 (c) -6/31 (d) -0.2 (e) 0.03 (f) -100
e
What is the third smallest value in 5426, -4, -0.05, 2, 0, 0.5, 3/2?
0
What is the third smallest value in 1, 22, -6, 4, -14, 17?
1
What is the fourth biggest value in 0.1, -5, 0.0349, -2.3, 2/5, -0.28?
-0.28
What is the second smallest value in -0.1, 0, 0.03, -3841, 4, 1/7, -1/2?
-1/2
Which is the seventh biggest value? (a) 0.1 (b) -1 (c) -4 (d) -13 (e) 18.9 (f) 1 (g) -2/9
d
Which is the sixth biggest value? (a) 5 (b) 11.15 (c) -1/11 (d) 0 (e) -2 (f) -11 (g) -4
g
Which is the sixth biggest value? (a) -472 (b) -1193 (c) -0.4 (d) -0.3 (e) 4 (f) -3
b
Which is the biggest value? (a) 4/35 (b) 1 (c) -2 (d) -25.97 (e) 0.3
b
What is the second smallest value in -1/5, 3/5, 4.859, -17.22?
-1/5
Which is the second biggest value? (a) 22/9 (b) 9 (c) -52364
a
What is the third smallest value in 4, 66.0938, 3/23?
66.0938
What is the seventh biggest value in 0.5, -2, 204, 0.9, 0.4, -0.4, 2/15?
-2
What is the biggest value in -4, -3.5, -1/2, 0.1, 0.147, -3?
0.147
What is the biggest value in -50, -14539, 43?
43
Which is the fourth smallest value? (a) -1/33 (b) -0.2 (c) 2/9 (d) 0.3 (e) 191 (f) 38
d
What is the sixth smallest value in 3/113, 17, 2/5, 5, -0.3, -4, -3?
5
Which is the second biggest value? (a) 3 (b) 1 (c) -2.8 (d) -2.28 (e) -12 (f) -11
b
Which is the second biggest value? (a) -2/15 (b) -2/7 (c) -12/43 (d) 0.348 (e) -7
a
What is the fifth biggest value in 2, -1/10, 23, 0, -5/76202?
-1/10
Which is the third biggest value? (a) -19.31019 (b) 4 (c) -1/68
a
Which is the fifth biggest value? (a) 1/5 (b) -4 (c) -2 (d) -1 (e) 0.02133 (f) -1/3
c
Which is the third smallest value? (a) 0.5 (b) -900310 (c) -3
a
What is the seventh biggest value in -4, 1, 0, 5, 5/2, -31, -0.023?
-31
Which is the third biggest value? (a) 172 (b) 0.3 (c) 15 (d) 98 (e) 1.9 (f) 3/5
c
Which is the sixth smallest value? (a) 0.1 (b) 6 (c) 0.6 (d) 2.2 (e) -625 (f) -2/7
b
What is the smallest value in 36, 1/2, -1608609?
-1608609
Which is the smallest value? (a) -2.25 (b) -2/3 (c) 0.3 (d) 546/25
a
Which is the biggest value? (a) -1465.11 (b) -1/4 (c) -92
b
Which is the third smallest value? (a) -0.123 (b) 3/2 (c) 3 (d) -0.018 (e) 1/4 (f) 4 (g) 0
g
What is the sixth smallest value in 8642, 3/8, 1/2, -3.39, 1/5, 4, -1?
4
Which is the biggest value? (a) -1/8 (b) 18256013 (c) -2/5
b
Which is the fourth smallest value? (a) -81 (b) 3/2 (c) 611 (d) 10
c
Which is the second biggest value? (a) -3516 (b) 0 (c) 11761/3 (d) 5
d
Which is the smallest value? (a) -53 (b) 3/5 (c) -117915 (d) -2/31
c
Which is the fourth biggest value? (a) -0.12885 (b) 1.6 (c) -0.2 (d) -8
d
Which is the third smallest value? (a) -734651 (b) 274 (c) -3
b
Which is the second smallest value? (a) 4 (b) -387/53 (c) 3 (d) -1/336
d
What is the sixth smallest value in -1/3, 9.772, -2, 2, -0.2, 1/12?
9.772
What is the sixth smallest value in 4, -3, 9/1670, 0.1, 1, 5?
5
Which is the fifth biggest value? (a) 21.1 (b) -1/2 (c) 6 (d) 1 (e) -2 (f) -11
e
Which is the third smallest value? (a) -4 (b) 3 (c) -11 (d) -0.113 (e) 5
d
Which is the fourth smallest value? (a) 2/11 (b) 1/4 (c) 3 (d) 2979922
d
Which is the sixth smallest value? (a) 0.5 (b) 4 (c) -200/279 (d) -0.3 (e) 0.1 (f) -1/4
b
What is the sixth smallest value in -3, 4, 0.3, -2, -0.613, 0.2?
4
What is the biggest value in -3, -3/2, -9.769074?
-3/2
Which is the fourth biggest value? (a) 3/8 (b) -2/21 (c) -1.32 (d) 0.2 (e) -0.4 (f) 1/6 (g) 2/13
g
Which is the third smallest value? (a) -15 (b) -1.8 (c) -27.1023
b
What is the fourth smallest value in 3, 2/9, 21, 22, -50, 5/4?
3
Which is the biggest value? (a) -1 (b) -1.1 (c) 368 (d) 0.1 (e) -39
c
What is the fourth biggest value in -11, -3/2140865, -5, 0.4?
-11
Which is the biggest value? (a) 1/7 (b) -1/56580 (c) 3 (d) -927
c
What is the smallest value in -1/2, 2, -1, -219, -1/5, -330?
-330
What is the third biggest value in -312248, -2/9, -1, 1/4?
-1
Which is the third biggest value? (a) -2/7 (b) 1/3 (c) -4 (d) 201045 (e) -1/6 (f) -3 (g) 0
g
Which is the biggest value? (a) 0.5 (b) -286170 (c) 62
c
What is the seventh biggest value in -119/20, -0.28, 1/8, -1, 1/6, 2/5, 3/4?
-119/20
Which is the sixth biggest value? (a) 0.2 (b) 54 (c) -1 (d) 0.1 (e) -0.4 (f) -201
f
Which is the smallest value? (a) -0.2 (b) -106 (c) 2448/23 (d) 135
b
What is the second smallest value in 0.04, 0, 2/9669, -951?
0
Which is the biggest value? (a) -0.02 (b) -6.5 (c) -14 (d) -39
a
What is the second biggest value in -196, -5/2, 1/4395?
-5/2
Which is the fifth biggest value? (a) -4 (b) -9 (c) -5 (d) 19 (e) 2460 (f) -0.06
c
What is the fourth biggest value in 1332, 2, -21454, 0.3?
-21454
What is the second smallest value in -5, -667/4, 2, 3/8, -0.66?
-5
What is the fifth smallest value in -4, -827095, 0.2, -1, -0.1?
0.2
Which is the sixth biggest value? (a) 5/14 (b) -1 (c) 0.11 (d) -3 (e) 0 (f) 2/9
d
Which is the fourth smallest value? (a) -199 (b) 1/4 (c) 320.1 (d) 6
c
What is the third smallest value in 10405600, 1, 5, 3/7?
5
Which is the fifth smallest value? (a) -1/3 (b) 0.5 (c) 3 (d) -150.2 (e) -0.1 (f) -12
b
What is the smallest value in 0.3, 61, 234158?
0.3
What is the second smallest value in 2/3, 50/31, -3/4, -2, -3410?
-2
Which is the fifth biggest value? (a) 0.5 (b) 65 (c) 8 (d) 0.7 (e) 16 (f) -5 (g) 5
d
What is the third smallest value in 15130, 2, 0.1, -0.055?
2
Which is the smallest value? (a) 0.5 (b) -5 (c) 0.05 (d) -0.3 (e) 67 (f) -1.2 (g) 3
b
Which is the second biggest value? (a) -505/51 (b) 5 (c) -730
a
What is the second smallest value in -40435530, 1/7, -1/2?
-1/2
What is the third smallest value in 3, 0, 16166469, -2?
3
Which is the biggest value? (a) -3 (b) 17178 (c) 170
b
Which is the second biggest value? (a) -0.178 (b) -4 (c) -0.3 (d) 6318
a
Which is the third smallest value? (a) -29 (b) -0.2169 (c) 1/4 (d) 1.02 (e) -1/6
e
Which is the smallest value? (a) -829 (b) 4427/8 (c) -0.2
a
What is the second biggest value in -1, -31/11, -164895?
-31/11
What is the fifth biggest value in 11, -485, -4, 0.8, 2/3, 1, -2?
-2
Which is the fifth smallest value? (a) -0.06 (b) 1.6 (c) 1/13 (d) 2.542 (e) -1
d
Which is the second smallest value? (a) 13 (b) 0.052149 (c) -0.1 (d) 2/3
b
Which is the sixth smallest value? (a) 0.2 (b) -1182 (c) -4/7 (d) -1 (e) 0 (f) 4 (g) -505
a
What is the third smallest value in 15, -6.46, 65.1?
65.1
What is the third smallest value in 2/23, 2/9, -1.4182, 1/2, -0.2?
2/23
Which is the third biggest value? (a) -2 (b) -0.1 (c) 55/4 (d) -1417
a
What is the third smallest value in -3, -16, -2780/29?
-3
What is the fourth smallest value in -1, 5, -42238, -495, -5?
-1
Which is the sixth biggest value? (a) 46/15 (b) 2 (c) -1 (d) 5/32 (e) -0.01 (f) 0.3
c
Which is the fourth biggest value? (a) 2 (b) -1 (c) -98 (d) 6 (e) 3 (f) -0.046
f
Which is the second biggest value? (a) 0.5 (b) -0.4 (c) -3/4 (d) 3/10 (e) -1531 (f) | {
"pile_set_name": "DM Mathematics"
} |
- 25*i)*(2 - 3 + 7) as x*i + l and give x.
-1092
Express -4*i**4 + i**4 + i**4 + (12*i - 12*i + 5*i**2)*(-i**2 - 2*i**2 + 5*i**2) + 34 - 34 - 12*i**4 in the form y*i**4 + o*i**3 + z + p*i**2 + d*i and give y.
-4
Rearrange (-9*q + 4 - 2*q + 22*q)*(-q**2 - q**2 - q**2) to g*q**2 + j + m*q**3 + z*q and give m.
-33
Rearrange -2 + 2*l**2 + l**2 + 6*l**2 - 7 + 7 - 4*l**2 + (22*l - 3*l - 8*l)*(0 + 2*l + 0) to the form f*l**2 + t*l + x and give f.
27
Express 4*y**3 + 32 - 6 - 3*y**3 + 0*y + y as q + t*y + r*y**3 + u*y**2 and give r.
1
Express (2*d + 2*d - 6*d)*(-20*d - 13 - 5 + 11*d) as f*d**2 + i*d + z and give f.
18
Rearrange (q + 1 - 1)*(61 - 161 - 105) - 2*q - q + 2*q + q + 3 - 3 + (1 + 2*q - 1)*(1 - 4 + 1) - 1 + 1 + q to the form s + c*q and give c.
-208
Express -26 - 10 - 1304*u + u**4 + 1307*u in the form c + y*u**3 + h*u**2 + o*u + n*u**4 and give c.
-36
Rearrange 0*l**2 - 16345*l - 3*l**4 - l**2 + 16346*l + 2 to the form n*l**2 + g + c*l + p*l**4 + w*l**3 and give n.
-1
Express -4*c - 3 + 494*c**2 - 492*c**2 - 7*c as x*c**2 + r*c + s and give x.
2
Rearrange (1876 - 303 + 2272 - 304 - 360)*(5*r + r - 5*r) to the form l*r + h and give l.
3181
Express 2 - 47*u**3 - 7*u + 26*u**3 + 31*u**3 as q + y*u + g*u**3 + o*u**2 and give g.
10
Rearrange -7 + 14 - 9 + 254*c**2 + 1 to n*c**2 + w + z*c and give w.
-1
Express -3*i**4 - 34*i**3 + 52*i**2 - 53*i**2 + 5*i**4 - 2*i in the form c*i**2 + p*i**3 + h*i + m*i**4 + r and give m.
2
Rearrange -2 + 3 - 41*z**2 - 17*z**2 + 28*z**4 - 26*z**4 to the form h*z**3 + g + i*z**4 + p*z**2 + l*z and give i.
2
Rearrange (-4*i + 5*i + i)*(-5 + 2 + 1) - 1 + 7 - i - 3 - i + i + i to the form a + q*i and give q.
-4
Rearrange (-1 - 1 + 3)*(127*n**2 - 597*n**2 - 54*n**2) to the form s*n + v + j*n**2 and give j.
-524
Rearrange 5*b + b**2 - 5*b + (-1 - 3*b + 1)*(-b + 3*b + 0*b) + 2*b**2 - 6*b**2 + 2*b**2 + b**2 + 5*b**2 + b + 6 - 5*b**2 to y*b + j*b**2 + w and give j.
-6
Rearrange 2*q + q + 0*q + (41653 - 126*q - 215*q - 41658)*(-1 + 2 + 0) to the form o + l*q and give o.
-5
Express 269*c - 1710*c - 140*c - 1041*c as k + p*c and give p.
-2622
Rearrange -10*b - 2*b**2 + 105 + 12*b - 191 to t*b**2 + y + q*b and give q.
2
Rearrange -87684*n**3 + 2 + 2*n + 87684*n**3 + n**2 - 19*n**4 to the form o*n**2 + r + y*n**4 + i*n**3 + s*n and give r.
2
Express -12*b - 5*b + 16*b + 451*b**2 + 239*b**2 as k + q*b + n*b**2 and give n.
690
Rearrange (9 - 9 - 15*z)*(5*z**3 - 2*z**3 - 5*z**3) - 35*z**4 - 566*z**2 + 566*z**2 to i*z**2 + f*z**4 + m*z + k + r*z**3 and give r.
0
Express (-3 + 6 - 1)*(392 - 392 + 10*z + (-z + 0 + 0)*(-3 + 5 - 4)) in the form s*z + f and give s.
24
Express (-4*p**2 + 104*p - 104*p)*((-4 - 2 + 5)*(2 + 0 + 0) + 0 + 2 - 7 + (-3 + 0 + 2)*(-2 + 0 + 0)) + p**2 + 2*p**2 - p**2 as n + m*p**2 + a*p and give m.
22
Rearrange 0*l - 4*l**3 + 0*l + (4*l**2 - 4*l**2 - 2*l**2)*(-l + 1 - 1) + 5816*l - 5816*l + 328*l**3 to g + t*l + a*l**3 + b*l**2 and give g.
0
Express 1 - 86*b + 2 + 92*b as p + m*b and give m.
6
Rearrange (726 - 726 + 81*o**2)*(-2*o - 2*o + 5*o) + 2*o**3 - o**3 - 2*o**3 + (0 + 0 + o)*(2*o**2 + 2 - 2) to the form u*o**3 + h*o**2 + y + s*o and give u.
82
Express -24*k - 395*k**2 + 12*k + 4*k + 8*k + (-2*k + 3*k - 2*k)*(-3 + 3 - k) + 3*k - 3*k**2 - 3*k as p*k + h*k**2 + y and give h.
-397
Rearrange 4450 - 103*a - 4450 to the form o + x*a and give x.
-103
Express (-556 - 2*d**2 + 451 + 472)*(-d + d - 3*d) as n + s*d**3 + g*d**2 + w*d and give w.
-1101
Express (-11*l - 7*l - 5*l)*(2 + 3 - 3) + (4 - 4 + 1)*(0*l - 4*l + 5*l) - l + 0*l - 2*l as j + y*l and give y.
-48
Express w**3 + 10 + 10 - 5 + 28 as a*w**2 + k + x*w + r*w**3 and give r.
1
Rearrange (1 - 3 - z**2 + 2*z**2)*(-2 + z + 2)*(-4 - 2 + 4)*(10*z - 14*z - 23*z) to u + n*z**4 + s*z + f*z**3 + b*z**2 and give b.
-108
Rearrange (6 - 11 + 3*s - s)*(3*s + 19*s + 12*s) to the form b*s + y*s**2 + o and give b.
-170
Rearrange (2 - 19*q + 6*q + 5*q)*(388 - 388 - 38*q) to the form v*q**2 + a*q + l and give a.
-76
Express 10 + 8 - 19 - 18*v**3 + v as n*v + y*v**2 + p + q*v**3 and give q.
-18
Express ((0 - 2 + 4)*(-3 + 3 + o) + 3*o + o - 3*o)*(o**2 + 6*o**2 + 0*o**2) as a*o**2 + k + l*o**3 + r*o and give l.
21
Rearrange 0 - 4*v + 1 + 4*v + v - 2*v**3 + 18*v**2 to the form n + w*v + k*v**3 + o*v**2 and give n.
1
Express -23*v + 20*v - 39*v + v**2 in the form k*v + d + g*v**2 and give g.
1
Express 117*q + 59*q + 93*q in the form v*q + a and give a.
0
Rearrange ((0 - 1 + 0)*(3 - 7 + 0) + 3 - 7 + 3)*(-8*w + 6*w - 29*w) to the form z + y*w and give y.
-93
Express 70*f**2 - 11*f**2 - 32*f**2 + 396*f**2 as c*f**2 + o + x*f and give c.
423
Rearrange 0*d - 2*d**3 - 1337 - 4*d**2 + 670 - 2*d + 678 + 2*d**2 + 7*d**4 to the form f*d**4 + l + o*d + j*d**3 + t*d**2 and give l.
11
Express 4 - 57*h**2 - 2 + 2 - 114*h**2 - 1 as p*h + x*h**2 + z and give z.
3
Rearrange -12 + 6*u + 12 + 2*u + u - 4*u + 8 - 3 - 8 + 5*u + (-1 + 1 - 1)*(0*u - 2*u + 4*u) to the form n + m*u and give m.
8
Express (0*a + 0*a - 2*a)*(14 + 7 - 3)*(3 + 5*a - 6*a - 3*a) as g + x*a + d*a**2 and give d.
144
Rearrange v + 2*v - 2*v + (33 + 32 - 71)*(0*v - v - 3*v) to the form r*v + l and give l.
0
Rearrange -2*o**3 - 3*o**3 + 7*o**3 + (2*o**2 + 0*o**2 + 2*o**2)*(-6*o + 4*o + 3*o) - 6*o**3 + 2*o**3 - 14 + 3*o**3 to y + d*o**2 + a*o**3 + q*o and give a.
5
Rearrange 17*q - 114*q + 17*q - 58*q to the form l*q + k and give l.
-138
Express -529*i**2 + 10*i - 58*i**2 - 145*i**2 - 10*i in the form w*i**2 + h + q*i and give w.
-732
Express 3448*u**2 + 3444*u**2 - 6890*u**2 + 1 + 74*u**3 + 2*u in the form w*u**3 + m*u**2 + b + n*u and give w.
74
Express (-15*u**3 - 110 + 110)*(u - 2 + 2 + (-2*u + 3*u + u)*(-2 - 1 + 4) + 1 - 1 + u + 175*u - 103*u - 87*u) as g*u**4 + n*u**3 + r + b*u + c*u**2 and give g.
165
Express -10 + 5*r**3 - 11*r**3 + 8 as k + a*r + s*r**3 + f*r**2 and give s.
-6
Rearrange -v**2 + 4*v**2 - 5*v**2 + 7*v + 6*v**2 to the form d + g*v + s*v**2 and give d.
0
Rearrange -49*m + 16*m + 17*m + 16*m + 537*m**2 to c*m**2 + o*m + p and give c.
537
Express 0 - 1 + 144*h - 192*h - 163*h + 3 as v*h + z and give z.
2
Rearrange -1 - 33*z + 2*z**3 - 72*z**2 + 33*z + (2*z**3 - 8*z**3 + 2*z**3)*(-2 + 4 - 4) to g + u*z**3 + r*z + s*z**2 and give u.
10
Rearrange (-23*r - 8*r + 0*r)*(-5*r + 2 + 0*r + 4*r - r**2) to the form z*r**2 + x*r + n*r**3 + a and give z.
31
Express -679*m - 521*m + 1444*m as g*m + x and give g.
244
Rearrange -86*h**4 - 21 - 645*h**2 + 645*h**2 + 6*h + 20 to z*h**2 + d*h + o*h**4 + s*h**3 + x and give o.
-86
Rearrange 5*c**2 + 4 - 2 - 8 - 2 - 8 to r*c**2 + i*c + f and give f.
-16
Rearrange -2*m**2 + 26*m**3 - 13*m**3 - 3 - 16*m**3 - 109*m**4 + 116*m**4 to c*m**3 + n*m**2 + u + p*m + z*m**4 and give c.
-3
Express -161*j + 43 - 122 - 435*j + 38 + 42 in the form f*j + p and give p.
1
Express 9*p**2 + 64*p - 3 + 126*p - 191*p as v*p**2 + y*p + i and give y.
-1
Express -27*w**3 - 2 + 23*w**3 - w**2 - w**2 in the form n*w**3 + l*w + t + c*w**2 and give n.
-4
Rearrange (-7*x**3 + x**3 - 3*x**3)*(-39*x - 85 + 38*x - 5) to the form m*x**4 + k*x**2 + u*x**3 + a*x + g and give u.
810
Express 91*c - c - 202*c - 248*c in the form s*c + m and give m.
0
Rearrange -5 - p + 1 + 3 - 4*p + 2*p + 3*p + (1 + 2 - 1)*(2*p + 0*p - 4*p) - 111*p - 138*p + 4 + 270*p to the form o*p + c and give c.
3
Express (-3 + 1 - 3)*(0*z**4 + z**4 - 1 - 5) + (-3*z**3 - 3*z**3 + 4*z**3)*(10*z - 2*z + 13*z) as n*z**4 + a + m*z**2 + p*z + j*z**3 and give n.
-47
Express (128*d**2 + 179*d**2 - 352*d**2)*(-2*d - 6*d**2 + 0*d + 5*d**2) in the form h + f*d**3 + g*d + s*d**4 + c*d**2 and give g.
0
Rearrange -94 - 100 + 11*k**2 + 186 to n + z*k + u*k**2 and give u.
11
Rearrange (-2 + 2 + 2*i)*(31 - 23 - 27)*(-4*i - 5*i - 3*i) to y*i**2 + k*i + z and give z.
0
Express -15 + 151*m**3 + 16 + 23*m**3 in the form l + x*m**2 + p*m**3 + q*m and give p.
174
Rearrange (-74*x + 24*x - 79*x)*(3 - 2 + 1 - 3 - 1 + 2 + (-5 + 2 + 2)*(-1 + 2 + 1)) to m + v*x and give v.
258
Rearrange -5 + 2 + 3 + 1 - 32*a - 47*a to the form w + t*a and give t.
-79
Express ((3*m**2 - 4*m**2 - 4*m**2)*(-4*m + 0*m + 5*m) - 2 + 2 - 3*m**3)*(0 + 5*m + 0) in the form j*m**3 + d + l*m + a*m**4 + b*m**2 and give a.
-40
Rearrange (-1347 + 1347 + 154*g)*(-2 + 0 + 9) to s + d*g and give d.
1078
Rear | {
"pile_set_name": "DM Mathematics"
} |
452 a multiple of 3?
False
Is 79454 a multiple of 16?
False
Is 18 a factor of 20613?
False
Is 26 a factor of 153377?
False
Is 104 a factor of 47833?
False
Is 15 a factor of 124428?
False
Is 5 a factor of 130945?
True
Does 360 divide 7203857?
False
Is 20 a factor of 383660?
True
Is 8 a factor of 85792?
True
Is 162 a factor of 1211271?
False
Is 240 a factor of 1442075?
False
Does 106 divide 9487000?
True
Is 6136962 a multiple of 78?
True
Is 1093532 a multiple of 239?
False
Is 105 a factor of 19950?
True
Is 117707 a multiple of 515?
False
Is 205517 a multiple of 13?
True
Does 9 divide 79576?
False
Does 110 divide 5198600?
True
Is 215 a factor of 445695?
True
Does 16 divide 188320?
True
Is 42 a factor of 4142544?
True
Is 194250 a multiple of 250?
True
Does 692 divide 9806874?
False
Does 10 divide 126400?
True
Does 87 divide 1381969?
False
Is 15 a factor of 393214?
False
Does 20 divide 1899105?
False
Does 247 divide 878579?
True
Is 88605 a multiple of 15?
True
Is 156205 a multiple of 13?
False
Is 6298082 a multiple of 13?
False
Is 271 a factor of 2122214?
False
Is 211515 a multiple of 885?
True
Does 330 divide 164136?
False
Is 7 a factor of 149746?
False
Is 49656 a multiple of 7?
False
Is 66 a factor of 453552?
True
Does 6 divide 1001036?
False
Is 184568 a multiple of 33?
False
Does 229 divide 245030?
True
Does 136 divide 174607?
False
Does 23 divide 8719530?
True
Is 48250 a multiple of 14?
False
Does 1519 divide 1593386?
False
Does 23 divide 5571101?
False
Is 218 a factor of 107097?
False
Is 248 a factor of 1035152?
True
Is 59 a factor of 102424?
True
Does 219 divide 62634?
True
Is 19 a factor of 518092?
True
Does 9 divide 22935?
False
Is 57 a factor of 226746?
True
Is 19 a factor of 220020?
True
Is 321 a factor of 306876?
True
Does 64 divide 63349?
False
Does 37 divide 25949210?
True
Does 7 divide 6678371?
True
Is 375285 a multiple of 21?
False
Is 89647 even?
False
Does 127 divide 20489329?
False
Does 110 divide 203500?
True
Is 377 a factor of 1152489?
True
Is 8 a factor of 89676?
False
Is 6 a factor of 55752?
True
Does 606 divide 64100?
False
Is 14 a factor of 244510?
True
Does 22 divide 15292728?
True
Does 1206 divide 5073642?
True
Is 9442728 a multiple of 12?
True
Is 16 a factor of 6268292?
False
Is 69 a factor of 4183849?
False
Is 790890 a multiple of 246?
True
Is 509973 a multiple of 4?
False
Is 14 a factor of 310856?
True
Is 371 a factor of 156311?
False
Is 196369 a multiple of 72?
False
Does 290 divide 66410?
True
Does 8 divide 96106?
False
Is 316212 a multiple of 39?
True
Is 21290 a multiple of 10?
True
Is 5965358 a multiple of 247?
False
Does 9 divide 2010753?
True
Is 10 a factor of 2925620?
True
Is 4 a factor of 4088828?
True
Is 316 a factor of 134932?
True
Is 1150 a factor of 5678051?
False
Is 120 a factor of 85560?
True
Does 104 divide 779065?
False
Is 233196 a multiple of 170?
False
Is 420 a factor of 8248800?
True
Does 282 divide 12394533?
False
Is 18 a factor of 287176?
False
Is 3441581 a multiple of 11?
True
Is 3610 a multiple of 5?
True
Is 8 a factor of 14277512?
True
Is 2447588 a multiple of 121?
True
Is 495 a factor of 806355?
True
Does 1742 divide 15517736?
True
Is 13843916 a multiple of 163?
True
Is 1018874 a multiple of 5?
False
Does 53 divide 1913725?
False
Is 4669500 a multiple of 750?
True
Is 110 a factor of 89540?
True
Is 3677964 a multiple of 93?
True
Is 20 a factor of 1771855?
False
Is 710 a multiple of 4?
False
Does 678 divide 247439?
False
Does 980 divide 2026681?
False
Is 6 a factor of 28512?
True
Is 226341 a multiple of 303?
True
Is 6310 a multiple of 26?
False
Does 17 divide 127153?
False
Is 51537 a multiple of 14?
False
Does 4 divide 2266881?
False
Is 23013 a multiple of 9?
True
Is 196850 a multiple of 14?
False
Does 82 divide 714468?
False
Does 2320 divide 17054320?
True
Is 281 a factor of 4820477?
False
Does 3 divide 2375496?
True
Is 173664 a multiple of 201?
True
Is 143458 a multiple of 91?
False
Is 425452 a multiple of 308?
False
Is 5 a factor of 189995?
True
Is 6 a factor of 752112?
True
Is 7 a factor of 972607?
False
Does 2 divide 21277?
False
Does 807 divide 2001360?
True
Is 471 a factor of 3085932?
False
Is 1000759 a multiple of 1016?
False
Is 11212328 a multiple of 10?
False
Is 220 a factor of 336160?
True
Is 2 a factor of 42121?
False
Is 362429 a multiple of 72?
False
Is 16 a factor of 5537296?
True
Is 713 a factor of 2951267?
False
Is 460 a factor of 827974?
False
Does 25 divide 654725?
True
Is 388 a factor of 509444?
True
Is 211421 a multiple of 176?
False
Is 5 a factor of 102289?
False
Does 200 divide 3731067?
False
Does 2221 divide 25756937?
True
Does 1096 divide 6351968?
False
Is 10 a factor of 8599280?
True
Is 8 a factor of 377784?
True
Is 112 a factor of 15456?
True
Does 43 divide 128184?
False
Is 1296109 a multiple of 121?
False
Is 115447 a multiple of 240?
False
Does 993 divide 2029616?
False
Does 51 divide 52224?
True
Does 640 divide 9038842?
False
Is 1723 a factor of 8055025?
True
Does 119 divide 2869090?
True
Is 53640 a multiple of 5?
True
Is 207302 a multiple of 8?
False
Is 26 a factor of 9330741?
False
Does 30 divide 2447190?
True
Does 329 divide 3386711?
False
Is 42 a factor of 3376422?
True
Does 9 divide 8631?
True
Is 153891 a multiple of 27?
False
Is 96 a factor of 1861440?
True
Does 622 divide 22469802?
False
Is 1604977 a multiple of 649?
True
Is 1446944 a multiple of 11?
False
Is 954 a factor of 3918149?
False
Is 310 a factor of 5498160?
True
Is 12 a factor of 446623?
False
Is 149 a factor of 38144?
True
Is 11 a factor of 171864?
True
Is 1844430 a multiple of 210?
True
Is 238 a factor of 231805?
False
Is 994 a factor of 19143584?
False
Is 453 a factor of 946317?
True
Is 12 a factor of 654048?
True
Is 2065580 a multiple of 310?
False
Does 20 divide 411259?
False
Is 4442574 a multiple of 178?
False
Is 13 a factor of 164661?
False
Is 18 a factor of 921582?
True
Is 37 a factor of 172087?
True
Is 19 a factor of 177023?
True
Is 58511 a multiple of 6?
False
Is 422 a factor of 16286237?
False
Is 142483 a multiple of 11?
True
Is 82 a factor of 25361?
False
Does 66 divide 5423154?
True
Is 5 a factor of 17567?
False
Is 266560 a multiple of 39?
False
Is 363376 a multiple of 208?
True
Does 38 divide 167279?
False
Does 323 divide 975460?
True
Is 28 a factor of 230608?
True
Is 133628 a multiple of 22?
True
Does 10 divide 577180?
True
Is 40 a factor of 30880?
True
Does 8 divide 1545728?
True
Does 389 divide 1785859?
False
Is 14 a factor of 611971?
False
Is 955092 a multiple of 19?
True
Is 355698 a multiple of 27?
True
Is 115560 a multiple of 52?
False
Is 47897 a multiple of 5?
False
Is 350 a factor of 49700?
True
Does 32 divide 1560306?
False
Is 67 a factor of 1740996?
False
Is 36 a factor of 717336?
True
Does 185 divide 985680?
True
Is 118039 a multiple of 41?
True
Does 5 divide 20930?
True
Does 23 divide 186300?
True
Is 9 a factor of 433002?
False
Is 1045848 a multiple of 12?
True
Is 234865 a multiple of 20?
False
Is 284639 a multiple of 211?
True
Is 184313 a multiple of 76?
False
Is 779241 a multiple of 327?
True
Is 30 a factor of 169230?
True
Does 39 divide 1964715?
False
Is 3090061 a multiple of 65?
False
Is 402 a factor of 184901?
False
Does 95 divide 141520?
False
Is 11 a factor of 10604?
True
Does 28 divide 2550?
False
Is 1903430 a multiple of 131?
True
Does 31 divide 111772?
False
Does 667 divide 2991579?
False
Is 20222405 a multiple of 31?
False
Is 1095 a factor of 14634675?
True
Is 19754350 a multiple of 77?
True
Is 23 a factor of 522466?
False
Is 68 a factor of 1379380?
True
Does 592 divide 16941448?
False
Is 343959 a multiple of 259?
False
Is 71 a factor of 20152?
False
Is 3793920 a multiple of 95?
True
Is 49 a factor of 585992?
False
Does 182 divide 774527?
False
Does 10 divide 38210?
True
Is 5359520 a multiple of 41?
True
Is 15633 a multiple of 310?
False
Is 13 a factor of 407784?
True
Does 547 divide 256066?
False
Is 59276 a multiple of 83?
False
Is 114 a factor of 38459?
False
Does 557 divide 3416210?
False
Is 4656665 a multiple of 3?
False
Does 213 divide 4465434?
False
Is 23163 a multiple of 5?
False
Is 189902 a multiple of 104?
False
Does 971 divide 6508613?
True
Is 2447411 a multiple of 257?
True
Is 469545 a multiple of 6?
False
Is 18 a factor of 1254424?
False
Does 44 divid | {
"pile_set_name": "DM Mathematics"
} |
earest to 5.5 in -1, -4/5, 2, -4/15, -16/5, -2?
2
What is the nearest to 0.058 in 0.12, 262, -28, -0.4?
0.12
Which is the nearest to 0.0048? (a) -0.1001 (b) 4 (c) -46 (d) -2 (e) -1/4
a
What is the closest to 0.3 in 1.43, -5, 0.12, -0.2?
0.12
Which is the nearest to -159? (a) -2 (b) -0.4 (c) 12 (d) -5 (e) 280
d
What is the closest to 1 in 0, -6151, 81, 3/5, -2?
3/5
Which is the closest to -2? (a) 17332 (b) -23 (c) 1 (d) -16 (e) 3
c
What is the closest to -7.9 in 6, -12480, -2, -0.2?
-2
What is the nearest to -1.9 in 88, 0.2, -327?
0.2
What is the nearest to 3.3 in 3, 2, -2/9, 11, -1072?
3
What is the nearest to 1 in -9, 1311, -16, -2/7?
-2/7
Which is the closest to -0.1? (a) -8 (b) -43762501 (c) -1/4
c
Which is the closest to 2? (a) 2/3 (b) -56/10349 (c) -1
a
Which is the closest to 26? (a) -7 (b) 3/5 (c) -3 (d) -1/9 (e) 0.04
b
Which is the closest to -41? (a) 1 (b) -0.23 (c) -2/1187 (d) 2/5
b
What is the nearest to 2 in 246, 6, -0.321?
-0.321
What is the closest to 92656 in -4, 0.001, 5?
5
Which is the nearest to -0.14? (a) -0.573 (b) -17/2 (c) -2/11
c
Which is the closest to -20? (a) 3/4 (b) 191799.3 (c) -2/15
c
Which is the closest to 24? (a) 0.0113 (b) -1 (c) 0.5 (d) -2
c
What is the closest to 0 in 51150, 0.026, -0.2?
0.026
What is the nearest to 1/4 in -6, 2/81, 2/5, 4/249, -1?
2/5
What is the nearest to 2 in -21, -1/4, 29864, -1, 3/4?
3/4
What is the nearest to 4 in -4, 1, -0.9, -3, 234/49?
234/49
What is the closest to 1 in -18, 157, 0.37, 0.2, 49, 4?
0.37
Which is the closest to -114.8? (a) 2/3 (b) 63 (c) 6/5
a
Which is the closest to -2/3? (a) -5 (b) 3/2 (c) 1109 (d) 2 (e) -1
e
What is the nearest to -0.1 in -250, -290, -28?
-28
Which is the nearest to 0.4? (a) 55747 (b) -1/5 (c) -68/9 (d) 0.5
d
Which is the closest to -0.2? (a) -3/2 (b) -107 (c) -10.074
a
Which is the closest to 59? (a) 459 (b) -2/805 (c) -5
b
Which is the closest to 191? (a) 0 (b) 0.3 (c) 2 (d) -23.99
c
What is the nearest to 2/7 in -0.07, 3, 2292, -0.1?
-0.07
What is the nearest to -1 in 1/3, -2861343, -20?
1/3
Which is the nearest to 2/7? (a) 943.4 (b) 230 (c) -1/6
c
Which is the nearest to 0? (a) 0 (b) 3/4 (c) 1/10 (d) 1 (e) 2192
a
What is the nearest to 1 in -0.25, 0.1138, 1.6, -0.5?
1.6
Which is the nearest to -1/658? (a) 5/11 (b) 4/3 (c) -1
a
What is the nearest to -2/5 in 1/5, -33, 2/11, 4137, 1/2?
2/11
What is the closest to -2 in -5, -380/31, 0, -2/9, 1/15?
-2/9
What is the nearest to 2/7 in 4/3, -1, 2/17, 2959.25?
2/17
Which is the closest to 1/5? (a) -0.002 (b) 3 (c) 23 (d) 0.06 (e) -0.9
d
Which is the closest to 1/4? (a) -8 (b) 40 (c) -1/5 (d) -36.3
c
What is the closest to -1/5 in 20, 374, -90?
20
What is the closest to 2 in -8193/320, 1/3, -5?
1/3
Which is the closest to 12? (a) -2 (b) -33 (c) 0.05 (d) 0.3 (e) 0.15 (f) 0.1
d
What is the closest to 4801 in 1.4, 5, 0.4, -0.4?
5
Which is the nearest to 1? (a) 0.1 (b) -1/84721 (c) 4 (d) -2/9 (e) 0
a
Which is the nearest to -58? (a) 0.2 (b) -0.3 (c) 2/477 (d) -0.211
b
Which is the nearest to 62? (a) 0.3 (b) 15.2 (c) -9
b
What is the closest to -0.4 in -214, -47/54, 15?
-47/54
What is the nearest to 22 in -9109131, 0.1, -1/4?
0.1
What is the nearest to 5/7 in 0.7, -0.3, -188, 4?
0.7
What is the closest to 2/5 in -1/165, 203/2, -59, 1/6, 0.2?
0.2
What is the nearest to -6 in -12.09, -2/515, -4/3, -0.4?
-4/3
Which is the closest to -2/17? (a) 32 (b) -21 (c) -0.2 (d) 1/3 (e) -18
c
What is the closest to -2/3 in 4, 285, -2/5, 0.05, -4/11, -2/27?
-2/5
Which is the closest to -4? (a) -1 (b) 22.7 (c) -411.1 (d) -3
d
What is the nearest to 8 in 166690, -6, -0.5?
-0.5
What is the nearest to 2/7 in 22948, -0.3, -2/13, -21/8?
-2/13
What is the closest to -12 in -21, -1, 9, -85?
-21
Which is the nearest to -1? (a) 2 (b) 0.04 (c) -1/3 (d) -2/17 (e) 2.975 (f) 2/17
c
What is the nearest to -134/21 in 5, -5, 0.45, -1/9?
-5
What is the nearest to -0.12 in -0.008679, -3/4, 0?
-0.008679
Which is the nearest to -3? (a) 1 (b) 0.12 (c) 38 (d) 0 (e) 4
d
Which is the closest to 0? (a) 0 (b) -3/4 (c) 3494 (d) 3 (e) -2
a
What is the nearest to 1.82 in 13/2, 1/3, 2/12497?
1/3
What is the nearest to 3595 in 0.5, 0.3, 60, -2/5, -1/2?
60
What is the nearest to 3/5 in -0.0598, 10, -0.4, 6/5, -5?
6/5
What is the nearest to -135040 in 0.2, -0.2, -39?
-39
Which is the closest to 6? (a) 437 (b) 12/5 (c) 253 (d) -2/5
b
Which is the closest to -444? (a) -1 (b) -11 (c) -1/11024
b
Which is the closest to -1? (a) -72 (b) 2/5 (c) -0.3 (d) 85/22 (e) -1
e
Which is the nearest to 3/4? (a) 1/7 (b) 0.13994 (c) -5 (d) -0.3
a
What is the closest to 6/5 in 2/51, 13268, 5?
2/51
What is the closest to -1/27 in -0.2, -421, -1/9, 0, -1?
0
Which is the closest to -25? (a) -14183 (b) 0.4 (c) -35
c
Which is the closest to 0.1? (a) 3/4 (b) -3913.4 (c) 40 (d) 1/20
d
What is the closest to 5134 in 0.062, -3.7, 0.1?
0.1
Which is the nearest to 26/7? (a) -0.04 (b) 0.4874 (c) 7/5
c
What is the nearest to -52 in 10, -1062, 1/13, -0.04?
-0.04
Which is the nearest to 1/3? (a) -2/3 (b) 0.1 (c) 1373/10 (d) 7
b
What is the closest to -5.241 in 3, -30, 8, 7/6, -4?
-4
What is the nearest to 20/3 in 1, 1/7246, -2/5, 7?
7
Which is the closest to 0.3? (a) -5 (b) 10/3 (c) 1 (d) 4 (e) 861
c
What is the closest to 3.8 in -544, 0.5, -0.3, 2, 8?
2
What is the nearest to 0 in -3, -0.0529, 2/21, -0.3, 4?
-0.0529
What is the closest to -5.5 in 9, -4, -110, -0.1?
-4
What is the nearest to 5 in 0.1, 3/5, 3.4, 4/7, -5?
3.4
What is the closest to 107 in 0.5, -0.4, -5, 332, 3, 1/9?
3
Which is the nearest to -0.1? (a) -27 (b) 0.2 (c) 1.2528 (d) 4 (e) 2
b
Which is the closest to 0.13? (a) -2 (b) -1/11 (c) -3/88 (d) 0 (e) 0.3 (f) 4
d
Which is the closest to 1/11? (a) -3 (b) 1/4 (c) -1 (d) 11.577 (e) 0.01
e
Which is the nearest to 2/5? (a) -6325 (b) 8/7 (c) -1/4
c
Which is the closest to -2/5? (a) -5.49 (b) 1 (c) 2 (d) 2/3211 (e) -0.1
e
What is the nearest to 1 in 1272/7, 0.04, -1?
0.04
What is the closest to -76 in -0.028, -3/2, 5, 0.08?
-3/2
What is the nearest to 12 in -1/2, 38, 0.368?
0.368
What is the nearest to 53.8 in -0.4, 8/3, 4/3, -5, -32?
8/3
Which is the nearest to -2? (a) -13 (b) -19 (c) -10 (d) 0.01 (e) 5 (f) 4
d
Which is the nearest to -1? (a) 3 (b) -3162495 (c) 2 (d) -0.5
d
What is the closest to 13849 in 0.5, -1, -0.26?
0.5
Which is the closest to 2/7? (a) 2/14947 (b) 5 (c) -3/7 (d) 0.1 (e) -4
d
What is the closest to 0.1 in -1/4, -1, 23.9, 549?
-1/4
What is the closest to 127/11 in 0.1, -23, -0.1, -0.4?
0.1
Which is the closest to 2/39? (a) -4 (b) 370 (c) -4/21
c
What is the closest to 1/2 in -0.3, -11/50, 0.1, -84?
0.1
What is the nearest to -1 in -0.01, -0.04, -1, -61414?
-1
What is the closest to 0.1 in 0.10818, -82, 0.2, -1/2, -2/19?
0.10818
Which is the closest to -1/8? (a) -0.2 (b) 82 (c) -23/1294
a
What is the closest to -9 in 0.006, -0.099, 1/6, -5, -4?
-5
What is the closest to 2 in -3100, -2, -5, -4, 0.27, -1/3?
0.27
What is the closest to -17 in 2, 21, 0.4, 52?
0.4
Which is the nearest to -0.1? (a) 12862787 (b) -3 (c) 4
b
Which is the closest to 5? (a) -3/4 (b) 134 (c) 102
a
What is the nearest to 1.4 in -2/7, 7, 4/61, 3, 1/9, -0.1?
1/9
Which is the closest to 53? (a) 3/2 (b) -7/8 (c) -221
a
What is the closest to 16/19 in -4, 0.48, -0.2, -2/3?
0.48
What is the nearest to 7 in -2, 247, 5, 1.01, 6/11?
5
What is the closest to -9705 in -11, 0.1, 0.3?
-11
What is the nearest to -0.022 in 4/3, 19.73, 2/7, -3?
2/7
Which is the closest to -512? (a) 343 (b) -0.3 (c) 3
b
Which is the closest to -25/3? (a) 2/15 (b) -1 (c) -8387 (d) -3
d
Which is the closest to -39? (a) -2/15 (b) -0.4 (c) 231/17 (d) 4 (e) 0
b
What is the closest to 2/3 in -10, -8/17, -13, -0.4, 5?
-0.4
What is the closest to -20/93 in 1/110, 24, -2?
1/110
Which is the nearest to -1/21? (a) 2/159 (b) 3 (c) -35 (d) 8
a
What is the closest to -9 in 1/29, 1, -2/25, -3/34, -2?
-2
Which is the closest to -1? (a) -0.6 (b) -2 (c) -37665 (d) 0.4
a
Which is the closest to 10? (a) -1/6 (b) -3 (c) 29/2 (d) 0.076 (e) 68 (f) -4
c
Which is the nearest to -5? (a) 1519/17 (b) 5 (c) -5 | {
"pile_set_name": "DM Mathematics"
} |
x(-2). Suppose -23 = 3*n + 4*t, -3*t - 15 = -0*t. What is the common denominator of (-4)/18 - (-94)/r and n?
11
Let a = -2/5095 + -331171/10190. Find the common denominator of 6/(-30)*(-290)/28 and a.
14
Let k(i) = -i**3 - 3*i**2 + i - 1. Let s be k(-4). Suppose -y = 4*y - 115. Let d = y - s. What is the least common multiple of d and 2?
12
What is the lowest common multiple of ((-32)/(-24))/((-2)/(-3)) and 16?
16
Find the common denominator of 53/9 and (18/(-45))/((-8)/(-115)).
36
Let w = -6 - -1. Let b = -4 - w. Find the common denominator of -91/8 and b/(-3) + (-266)/(-96).
16
Let p(y) = y**3 - 9*y**2 + 9*y + 2. Let x(a) = -a**3 + 4*a**2 + 6*a + 3. Let w be x(5). What is the smallest common multiple of p(w) and 20?
20
Let k(c) = c**2 - 7*c - 5. Let q be k(7). Let y = 574 - 811. Find the common denominator of -77/10 and q/4*y/15.
20
Find the common denominator of -12/5 and (-1)/(21/12)*-2.
35
Let y be (-2)/(-32)*(1 - -2893). Let a = -185 + y. Calculate the common denominator of -71/20 and a.
40
Suppose -5 - 49 = -9*m. Calculate the lowest common multiple of m and 7.
42
What is the least common multiple of 20 and 4 + (-8)/(0 + -2)?
40
Let t be 1*(-10693 - -3 - 0). Let h = 128129/12 + t. Find the common denominator of h and 101/2.
12
Let f(l) = l - 2. Let r be f(2). Suppose -3*j - 4*v - 12 = 0, -2*j + 2*v + r*v = -6. Suppose j = -3*m + 3 + 6. What is the smallest common multiple of m and 8?
24
What is the common denominator of (-34)/10*(-10)/(-8) and 131/18?
36
Let h be (-3)/(-12) - 65/4. Let l = 10 + h. Find the common denominator of l and ((-4)/(-10))/(3/54).
5
Suppose -4*k - 1 = -5. Suppose -5*t - k = -4*t. Calculate the common denominator of 37/14 and (t/(-6))/((-2)/151).
84
Let x(c) = 4*c**3 - 2. Let i be x(2). Suppose -5*v + 20 = -i. Calculate the least common multiple of 7 and v.
70
Let c = 4/7157 - -11730283/71570. Let j = 784/5 - c. Find the common denominator of j and -77/6.
30
Suppose -3*q + 4*q = 6. Suppose q*i = i + 3755. Let t = i + -16519/22. What is the common denominator of -3/22 and t?
22
Let b = 9 + -3. Let y be 4/b + 13992/(-20961). Let p = -60560/6987 - y. Calculate the common denominator of 14/9 and p.
9
Suppose -4*k + 4 = -o + 5*o, -3*o - k - 5 = 0. What is the common denominator of -2 - o - 4/(-9) and -59/3?
9
Suppose 91 = 3*u + 25. What is the least common multiple of u and 2?
22
Suppose 0 = -42*n + 46*n - 48. Let h(m) = -2*m + 2. Calculate the smallest common multiple of h(-6) and n.
84
Calculate the common denominator of 121/10 and (-1)/(-2) - 6/8.
20
Let i = 4977/5 + -991. What is the common denominator of i and (-73)/8 - (-4)/(-16)?
40
Suppose -3*x + 6 = 3*j, -2*x - 3*j + 2*j = -4. Let b be -3 + (79491/15897 - x). Let k = b - 24985/10598. Calculate the common denominator of 1/6 and k.
42
Suppose 27*i - 20*i = 56. Calculate the lowest common multiple of i and 6.
24
Suppose -3*i - 5*j = -0*j - 54, 0 = -i - j + 20. What is the common denominator of i/2*24/32 and -47/9?
72
Calculate the common denominator of 24/(-5) - (-2)/4 and (-2 - 1)*120/252.
70
Let g be (-3260)/(-30) + 2/(-3). Suppose -36 = 4*c - g. What is the smallest common multiple of 10 and c?
90
Let p = 1143/10 - 13053/110. Let f be (-27)/(-2) - (-1)/2. What is the common denominator of 4/f - (-160)/77 and p?
11
Let n(u) = -u**2 + 9*u - 9. Let i be n(8). Calculate the lowest common multiple of (-4 - 9/3)*i and 9.
63
Let l = 1048 + 4383. Let y = l - 54369/10. What is the common denominator of 99/2 and y?
10
Let b be -2*(3 - 2) - -6. Let c = -2 + b. Suppose 5 = 4*r + 3*k, 2*k = -5*r - k + 10. What is the lowest common multiple of r and c?
10
Let m = 38867/17490 - -4/795. Calculate the common denominator of 2/6 + (-586)/84 and m.
154
Let h(f) = 5*f + 1. Let q be h(3). Let u = q - 10. Calculate the smallest common multiple of 18 and u.
18
Suppose 3*n - 24 = -4*w, -39 = -2*n + w + 4*w. Calculate the least common multiple of 40 and n.
120
Let p(n) = -n**3 - 4*n**2 + n. Let k be p(-3). Let o be (-18)/(-63) + (-318)/(-14). Let b = o + k. What is the least common multiple of b and 10?
110
Let d(s) = -8*s**3 - 2*s**2 - 2*s - 2. Let w(p) = -p**2 - p + 4. Let f be w(-3). Let g be d(f). Find the common denominator of (-2)/(-4) - g/(-18) and -43/20.
180
Let g(z) = -z**3 - 5*z**2 - 4*z - 4. Let w be g(-5). Find the common denominator of ((-2)/w)/((-2)/57) and 13/4.
16
Let u(t) be the second derivative of t**5/20 + t**3/6 + 10*t**2 - t. Let v be u(0). Suppose 0*x - v = -x. Calculate the smallest common multiple of 6 and x.
60
Suppose -3*n + 3*k + 5 = 5*k, 4*k - 4 = 0. What is the lowest common multiple of n and 8?
8
Let u = -268/13 + 2281/52. Let c = 2590 - 77627/30. Calculate the common denominator of c and u.
60
What is the common denominator of (-110)/24 + (-7 - -9) and 9/2?
12
Let g(m) = 2*m**2 + 27*m + 28. What is the smallest common multiple of 6 and g(-14)?
42
Suppose -2*p - 3*b + 13 + 4 = 0, 0 = -3*p + 3*b + 33. Let z be p/2 - (4 + -2). What is the common denominator of -3/4 and 66/(-4) - z/(-9)?
12
Calculate the common denominator of 3 + -21 + 4/(-4) and -7.
1
Suppose -2*z - f + 49 = 0, f + 1 - 2 = 0. Calculate the lowest common multiple of z and 14.
168
Let q(m) = m**2 - 5*m - 2. Let d be q(-4). Let z = d - 12. What is the least common multiple of 24 and z?
264
Let h(i) = 2*i - 8. What is the smallest common multiple of h(16) and 30?
120
Find the common denominator of 13/6 and (-18)/14*(-84)/264.
66
Suppose 0 = -4*u + 12 - 32, -x - 2*u + 6 = 0. Calculate the smallest common multiple of 112/5 + (-8)/(-5) + -2 and x.
176
Let o(y) be the first derivative of y**2 - 12*y + 2. Calculate the least common multiple of (-8)/3*9/(-2) and o(8).
12
Let t(q) = -q**2 + 11*q - 22. Calculate the smallest common multiple of t(5) and 7.
56
Find the common denominator of (-1)/((-1)/2 - -1) and 122/(-20) + 6/12.
5
Suppose 5*v = -4*m + 2*m + 38, m = 4*v - 33. What is the lowest common multiple of 20 and v?
40
Let l be (-4107)/6*(-2)/4. Let m = 340 - l. Let a = 2 + m. What is the common denominator of a and 61/12?
12
Find the common denominator of -19/12 and ((-19)/5)/((-24)/30).
12
Suppose 3*i + 2*n - 312 = 0, 405 = 4*i - 0*n - n. Suppose 0 = -2*q + 74 + i. Find the common denominator of 61/22 and 0 - -2*118/q.
22
Let t be -1*5*(-720)/25. Find the common denominator of 57/t*-2*2 and -107/12.
12
Suppose 3*z + 0*z = -5*p + 116, -z = 2*p - 39. Suppose 5*g = 2*o + z, -3*o - g + 17 = -5*o. What is the common denominator of o/20*530/12 and 45/14?
28
Let i = 22/155 + 1223/5580. What is the common denominator of -67/2 and i?
36
Suppose o = 3*o - 48. Suppose -4*s - n = -3*s - o, -5*n - 5 = 0. Suppose s = w - 6*w, 2*w + 54 = 4*k. Calculate the lowest common multiple of 10 and k.
110
Let w = -725095/48882 - -2/8147. What is the common denominator of -22/3 and w?
6
Let r(p) = -p**2 + 10*p + 15. Let x be r(12). Let f = 2 - x. Suppose 4*n - 17 = 7. What is the smallest common multiple of f and n?
66
Let o = 13664/9 + -1522. Find the common denominator of 8/13 and o.
117
Calculate the common denominator of 10/(-8)*40/6 and 95/6.
6
Let u be 3/((-1 - 0)*1). Calculate the common denominator of -27/22 and u*(66/40)/(-3).
220
Let w = -1878 + 7551/4. What is the common denominator of 89/2 and w?
4
Let p be (-3929)/(4*(-2)/2). Suppose 2*f + 4*s = 1942, -2*f + 0*s = s - 1939. Let a = f - p. Calculate the common denominator of a and -131/18.
36
Let b = 14/569 + -8801/10811. Find the common denominator of 3/4 and b.
76
Calculate the lowest common multiple of 2 and (72/10 - 4)*5.
16
Suppose -4 = -4*x + 4. Suppose u = -n, -x*n = -6*n - u. Calculate the common denominator of (n + 7)/((-12)/(-14)) and 103/12.
12
Let y(b) = b - 1. Let x be y(4). Let l = x + 9. Suppose -4*t - 3*w + l = 0, -t - 3*t + 20 = w. What is the lowest common multiple of t and 4?
12
Suppose -4*x - 32 = 4*b, 0 = -x - 2*b - 9 - 2. What is the common denominator of 48/5 and (-3)/x + (-256)/110?
55
Let a = 99735/12868 - 2/3217. Find the common denominator of -81/20 and a.
20
Let h = -26 + 31. Suppose i - 8 - 3 = 0. What is the smallest common multiple of h and i?
55
Let x = -68 - -98. What is the lowest common multiple of 15 and x?
30
Let q = -31 + 53. Calculate the smallest common multiple of 5*11*34/85 and q.
22
Suppose -5*x = 2*j - 5948 | {
"pile_set_name": "DM Mathematics"
} |
1)/11
Suppose -342*h + 217*h + 159 = -84 - 132. Factor 1/6*n**h - 2/3*n**2 + 0*n + 0.
n**2*(n - 4)/6
Let a be 7*-1*8/(-14). Factor -16*j**3 + 0*j**a - 16*j**2 - 691*j + 691*j - 4*j**4.
-4*j**2*(j + 2)**2
Factor 0 + 3/5*u**3 - 156/5*u - 72/5*u**2.
3*u*(u - 26)*(u + 2)/5
Factor 413*b + 3*b**2 - 48*b**2 + 359*b - 4*b**3 - 588 - 146*b**2 + 11*b**2.
-4*(b - 3)*(b - 1)*(b + 49)
Let l(j) be the first derivative of 5/16*j**4 + 0*j - 163 - 45/4*j**2 + 35/12*j**3. Factor l(r).
5*r*(r - 2)*(r + 9)/4
Let h be (-3 + 127/45)/((-1)/5). Let p = -1369 - -12361/9. Let 34/9*w**2 + 8/9 - p*w - h*w**3 = 0. What is w?
1/4, 2
Let h(l) be the first derivative of -1/5*l**4 - 15 - 26/15*l**2 - 16/15*l**3 + 2/75*l**5 - 6/5*l. Factor h(j).
2*(j - 9)*(j + 1)**3/15
Let a(i) = 25*i**3 - 98*i**2 + 662*i - 300. Let m(b) = 30*b**3 - 97*b**2 + 663*b - 300. Let o(s) = -8*a(s) + 7*m(s). Factor o(f).
5*(f - 4)*(f + 15)*(2*f - 1)
Suppose m + 63 - 29 = 27, -5*u - 3*m = 21. Factor 0*x + u + 4/7*x**2.
4*x**2/7
Let n = -416 - -421. Let k be 0/(-3 - n/(-5)). Suppose 2/3*g**2 - 2/3*g**3 + 4*g + k = 0. Calculate g.
-2, 0, 3
Let i(a) = 17*a + 17. Let n be i(-1). What is u in u**3 + 76 + 0*u**3 + 2*u**3 - 148*u + u**3 + n*u + 68*u**2 = 0?
-19, 1
Factor 90*l**2 + 91*l - 1/3*l**3 - 542/3.
-(l - 271)*(l - 1)*(l + 2)/3
Let x(w) be the second derivative of -w**4/48 + 47*w**3/24 - 261*w**2/4 + 2988*w. Factor x(z).
-(z - 29)*(z - 18)/4
Suppose 2*g = -5*u + 74, -43*g = -3*u - 39*g + 34. Factor -13*n + 6*n**2 + u*n - 5*n.
2*n*(3*n - 2)
Factor -79/3*r - 26 - 1/3*r**2.
-(r + 1)*(r + 78)/3
Suppose 7 = 1398*x - 1399*x. Let s(h) = h + 10. Let v be s(x). Suppose -3/4*w**v + 3/4*w + 3/2 - 3/2*w**2 = 0. What is w?
-2, -1, 1
Suppose 0 = 3*q + 126 - 138. Let o(h) = 5*h**2 + 170*h + 1441. Let n(w) = -55*w**2 - 1870*w - 15850. Let z(d) = q*n(d) + 45*o(d). Solve z(y) = 0 for y.
-17
Let t(v) = -2*v**2 + 38*v - 8. Let i be t(17). Find s, given that -61*s + i*s + 5*s**2 - 4*s**2 = 0.
0, 1
Let i be 7452/20 + -4 + -2. Let v = 367 - i. Factor 8/5 - 2*p + v*p**2.
2*(p - 4)*(p - 1)/5
Let x be (28 + -21)/(-7) - (3 - (-72)/(-10)). Suppose -2/5*m**2 + x*m - 24/5 = 0. Calculate m.
2, 6
Let x(m) = -m**2 - 17*m + 60. Suppose 546*p = 549*p - 9. Let y be x(p). Solve -1/4*o + 1/2*o**3 + 0 + 0*o**2 - 1/4*o**5 + y*o**4 = 0 for o.
-1, 0, 1
Let s = -66266 + 66268. Factor -3*i**s - 1/2*i**3 - 4*i + 0.
-i*(i + 2)*(i + 4)/2
Factor -1899355 + 5328*m + 634606 - 509475 - 4*m**2.
-4*(m - 666)**2
Let y be ((-20)/(-14))/(341*57/12369). Factor -8/11 - y*v - 2/11*v**2.
-2*(v + 1)*(v + 4)/11
Suppose -3 = -3*g, 6*i - 2*i + 2*g - 22 = 0. Suppose 2*s + 168 = 5*h - 1293, 2*h - i*s = 597. Factor h*o**2 + 3 + 2 + 85*o + 320*o**3 + 109*o**2.
5*(o + 1)*(8*o + 1)**2
Suppose 58*q - 30 = 53*q. Factor 29 - 10*l**2 + 5*l**3 + 31*l + 31 - 20*l**2 - q*l.
5*(l - 4)*(l - 3)*(l + 1)
Let h(s) be the second derivative of 2*s**2 + 41*s + 0 - 7/3*s**3 + 5/6*s**4. Solve h(r) = 0 for r.
2/5, 1
Let y = -1141/180 + 115/18. Let t(j) be the third derivative of 0*j**3 + 0 + 0*j**4 - 1/15*j**5 - 7*j**2 + 0*j**7 + 1/168*j**8 + 0*j - y*j**6. Solve t(b) = 0.
-1, 0, 2
Let u(d) = -d**3 - 4*d**2 + 4*d - 2. Suppose 5*v + 49 = -g + 19, 0 = -4*g + 3*v - 5. Let l be u(g). Factor 0 - 3/2*y**2 + 0*y**l + 0*y + 3/2*y**4.
3*y**2*(y - 1)*(y + 1)/2
Let n be 4978/655 + 832/(-120). Determine y so that 0 + 10/3*y**3 + 4/3*y**4 + n*y**2 - 4/3*y = 0.
-2, -1, 0, 1/2
Determine p, given that 18*p**2 + 0 + 0*p + 2/7*p**3 = 0.
-63, 0
Let h = 2570641/10 - 257064. Factor 0 + 1/10*b**4 + 0*b + h*b**2 - 1/5*b**3.
b**2*(b - 1)**2/10
Let d = 315 + -306. Suppose 51 = d*j + 15. Factor 1/8*t**j + 3 + 15/4*t**2 + 9/8*t**3 + 11/2*t.
(t + 2)**3*(t + 3)/8
Let i(h) = -11*h**2 + 184*h - 642. Let u be i(5). Let j = -3 - -5. Factor -2/5*w + 4/5*w**j + 0 - 2/5*w**u.
-2*w*(w - 1)**2/5
Let k = -63 - -70. Suppose 5*y = 5*b + k + 13, -2*y = b - 2. Let 1 + 1/3*m**y + 4/3*m = 0. What is m?
-3, -1
Let x(f) = -25*f**3 - 245*f**2 + 470*f + 470. Let r(y) = -9*y**3 - 82*y**2 + 157*y + 155. Let v(o) = -10*r(o) + 3*x(o). Factor v(s).
5*(s - 2)*(s + 7)*(3*s + 2)
Let a(o) be the second derivative of o**4/126 + 160*o**3/63 + 6400*o**2/21 - 3266*o. Find p, given that a(p) = 0.
-80
Let f(u) be the second derivative of 5*u**7/168 + u**6/3 + 11*u**5/16 - 5*u**4/6 - 5*u**3/2 - 1467*u. Solve f(a) = 0 for a.
-6, -2, -1, 0, 1
Let h = -112 - -114. Solve 44*z**3 - 1127*z**4 + 441*z + 351*z - 648 + 1125*z**4 - 314*z**h = 0 for z.
2, 9
Let s(p) be the first derivative of -p**7/1260 + p**6/90 - p**5/36 - p**3/3 + p**2 - 64. Let n(l) be the third derivative of s(l). Find d such that n(d) = 0.
0, 1, 5
Let n(l) be the second derivative of -l**4/60 - 319*l**3/30 + 137*l - 1. Factor n(s).
-s*(s + 319)/5
Let r = 48/683 - -2492/3415. Suppose -r*g**2 - 8 - 161/5*g = 0. What is g?
-40, -1/4
Let b = 641756/7 + -91679. Solve 0 + 2/7*a**4 - 3/7*a**2 + b*a**3 - 2/7*a = 0.
-2, -1/2, 0, 1
Let k(q) = q**3 - 19*q**2 + 20*q - 22. Let y = -8 - -26. Let o be k(y). Factor 3*t - 4*t**2 + o*t**2 + t**3 - 7*t**2 + 1.
(t + 1)**3
Suppose -19*a + 20*a - 2 = 2*l, -10*l = -4*a + 8. Suppose -8/5*v**3 - 4/5*v**a + 4/5 + 2/5*v**5 + 6/5*v + 0*v**4 = 0. What is v?
-1, 1, 2
Let d = -615 - -630. Determine r, given that 28*r - d - 5*r**3 - 2*r - 339*r**2 + 334*r**2 - r = 0.
-3, 1
Factor 255*w - 17*w**3 + w**4 - 43*w**3 - 195*w**3 - 18*w**4 + 12*w**4 + 5*w**2.
-5*w*(w - 1)*(w + 1)*(w + 51)
Let a be (-69)/(-92)*(4 + (1 - 1)). Let i(l) = 3*l - 5. Let x be i(a). Factor -8*s**4 + 29*s**5 + 20*s**3 - 14*s**5 + 8*s**2 + 24*s**x - 11*s**5.
4*s**2*(s + 1)**2*(s + 2)
Let r = -654/17 - -19637/510. Let j(v) be the second derivative of 5*v**2 + 0 + r*v**4 + 10*v - 2/3*v**3. Factor j(k).
2*(k - 5)**2/5
Let f = 17411/2 + -8704. Factor 0*v - 9/2*v**4 - 3/2*v**5 - f*v**2 - 9/2*v**3 + 0.
-3*v**2*(v + 1)**3/2
Let j(t) be the third derivative of -2*t**2 + 21 - 1/16*t**8 - 17/10*t**6 + 75/8*t**4 + 9*t**3 + 13/10*t**5 + 0*t - 22/35*t**7. Find q such that j(q) = 0.
-3, -1, -2/7, 1
Suppose -2/7*h**5 - 2178/7*h + 136/7*h**4 - 2444/7*h**3 + 4488/7*h**2 + 0 = 0. What is h?
0, 1, 33
Factor -500*y - 761086*y**2 - 4*y**3 + 864 + 761158*y**2 + 68*y.
-4*(y - 6)**3
Let w = 119 - 169. Let h = 54 + w. Solve 35*v**5 + 60*v**h + 7 + 3 - 70*v**2 - 28*v**3 - 15*v + 8*v**3 = 0 for v.
-1, 2/7, 1
Determine w, given that 81*w**3 - 24*w**2 - 112*w**2 + 30*w - 4*w**2 + 29*w**2 = 0.
0, 10/27, 1
Let j(b) be the first derivative of -72*b**5/25 + 402*b**4/5 + 1126*b**3/15 - 254*b**2/5 + 46*b/5 + 1616. Find k, given that j(k) = 0.
-1, 1/6, 23
Let 4*y**2 - 108*y + 254*y - 54 + 318*y - 56 - 358 = 0. Calculate y.
-117, 1
Suppose 3*y + 4*k - 14 = 0, 6 = -y - 5*k + 9*k. Factor -160*a**3 - 4*a**5 + 229 + 1444*a**y + 347 - 140*a**3 - 84*a**4 - 1632*a.
-4*(a - 1)**3*(a + 12)**2
Let t = -2800 + 100801/36. Let z(p) be the third derivative of -10*p**2 - t*p**4 + 0*p + 0 + 1/180*p**5 + 0*p**3 - 1/630*p**7 + 1/180*p**6. Factor z(j).
-j*(j - 2)*(j - 1)*(j + 1)/3
Let h(u) = 13 - 3*u - 505*u**2 - 1 + 501*u**2 + 7*u. Let b(w) = w. Let p be b(-5). Let v(s) = -9*s**2 + 6*s + 25. Let n(t) = p*h(t) + 2*v(t). Factor n(d).
2*(d - 5)*(d + 1)
Let n(h) be the first derivative of -h**6/3420 + 7*h**5/570 + 22*h**3 - 6. Let k(j) be the third derivative of n(j). Find z, given that k(z) = 0.
0, 14
Let u(x) be the second derivative of -2*x**6/15 - 12*x**5/5 - 15*x**4 - 116*x**3/3 - 48*x**2 + 7659*x. Factor u(j).
-4*(j + 1)**2*(j + 4)*(j + 6)
Let s(n) be the third derivative of 7*n**5/12 + 335*n**4/6 + 190*n**3/3 + 997*n**2. Factor s(q).
5*(q + 38)*(7*q + 2)
Let x(k) be the second derivative of 13*k**5/20 + k**4/12 - k**3/2 + 3*k + 7. Let c(r) = -6*r**3 + 2*r. Let z(m) = 9*c(m) + 4*x(m). Factor z(b).
-2*b*(b - 3)*(b + 1)
Let l be 2 + -5 + 184/56. Let k = 358 + -358. Factor -8/7 + k*p + l*p**2.
2*(p - 2)*(p + 2)/7
Suppose 372*j = 60*j - 257*j + 2276. Factor -u**3 + 0*u**2 + u - 1/2 + 1/2*u**j.
(u - 1)**3*(u + 1)/2
Suppose 431*n - 421*n - 70 = 0. Let a be 252/(-35) + n - -1. Factor -4/5*p**4 + 0 + 4/5*p**3 + a*p**2 - 4/5*p.
-4*p*(p - 1)**2*(p + 1)/5
Let t = 145 + -143. Determine z, given that -3298 - 6*z**t + 3298 - 3*z**3 = 0.
-2, 0
Solve 0 - 30/7*a**3 - 1000/7*a - 300/7*a**2 - 1/7*a**4 = 0 for a.
-10, 0
Solve -4059*x**2 + 2060*x**2 + 23718420 + 2004*x**2 - 2 | {
"pile_set_name": "DM Mathematics"
} |
hen three letters picked without replacement from {t: 1, c: 1, j: 2, z: 1, r: 1, a: 1}?
1/210
What is prob of sequence jzz when three letters picked without replacement from zzjzjozjjziiijjuu?
1/34
Two letters picked without replacement from hehhhbeebee. What is prob of sequence be?
1/11
Two letters picked without replacement from wwkwowkkocrrwrwk. What is prob of sequence wr?
3/40
What is prob of sequence si when two letters picked without replacement from idwsrrkkd?
1/72
What is prob of sequence zbzz when four letters picked without replacement from {b: 2, z: 7}?
5/36
Calculate prob of sequence it when two letters picked without replacement from {h: 1, o: 1, t: 6, i: 1}.
1/12
Four letters picked without replacement from {l: 3, c: 6, m: 8, q: 1}. Give prob of sequence clqc.
1/816
Four letters picked without replacement from lfalc. What is prob of sequence afcl?
1/60
Calculate prob of sequence xcx when three letters picked without replacement from {c: 2, u: 1, w: 1, e: 3, x: 3}.
1/60
Calculate prob of sequence cwkw when four letters picked without replacement from {w: 2, c: 1, y: 1, k: 2, b: 2}.
1/420
Three letters picked without replacement from {m: 3, r: 2, a: 1, u: 1, x: 4}. What is prob of sequence uxm?
2/165
What is prob of sequence oppb when four letters picked without replacement from {b: 4, l: 6, u: 1, p: 3, s: 1, o: 3}?
1/1020
Calculate prob of sequence vj when two letters picked without replacement from {j: 11, v: 4, q: 4}.
22/171
Four letters picked without replacement from {b: 2, t: 3, n: 3}. What is prob of sequence nnbb?
1/140
Two letters picked without replacement from {w: 7, r: 2}. What is prob of sequence wr?
7/36
Two letters picked without replacement from otytyruo. What is prob of sequence to?
1/14
Calculate prob of sequence ojxd when four letters picked without replacement from joojxjodxdjdjdo.
4/819
What is prob of sequence cl when two letters picked without replacement from {l: 10, c: 2}?
5/33
Calculate prob of sequence hh when two letters picked without replacement from hhfhfffhhhfh.
7/22
What is prob of sequence yww when three letters picked without replacement from {w: 2, y: 4}?
1/15
Four letters picked without replacement from moussgmsgmusususu. Give prob of sequence sgsg.
1/952
What is prob of sequence wnwj when four letters picked without replacement from jwnnnwjjnwwnnwjjwv?
5/408
Two letters picked without replacement from ddpddddddddddddddddd. What is prob of sequence pd?
1/20
What is prob of sequence rdyy when four letters picked without replacement from {r: 1, b: 10, d: 2, y: 3}?
1/3640
Two letters picked without replacement from qooookooqokooo. What is prob of sequence qk?
2/91
Calculate prob of sequence by when two letters picked without replacement from {o: 1, i: 2, y: 3, g: 2, b: 2, t: 2}.
1/22
Calculate prob of sequence be when two letters picked without replacement from tiviiiiivteiitbie.
1/136
What is prob of sequence nlf when three letters picked without replacement from nlffn?
1/15
Calculate prob of sequence gzt when three letters picked without replacement from {z: 1, o: 1, g: 1, b: 6, t: 3}.
1/440
Three letters picked without replacement from seeq. What is prob of sequence ese?
1/12
Calculate prob of sequence fn when two letters picked without replacement from nnifiiffnninfnnnn.
9/68
What is prob of sequence iixx when four letters picked without replacement from {x: 9, i: 5}?
60/1001
What is prob of sequence rlll when four letters picked without replacement from {u: 1, l: 14, r: 5}?
91/969
What is prob of sequence ere when three letters picked without replacement from {c: 7, e: 3, r: 3}?
3/286
Two letters picked without replacement from iiffqifqjftjif. What is prob of sequence qi?
4/91
What is prob of sequence tgz when three letters picked without replacement from {v: 1, t: 1, z: 1, u: 1, g: 2, j: 1}?
1/105
Two letters picked without replacement from rvhxxhn. What is prob of sequence vn?
1/42
Calculate prob of sequence nn when two letters picked without replacement from nrnnnnnnnnrn.
15/22
Four letters picked without replacement from {a: 1, n: 12}. Give prob of sequence aann.
0
Calculate prob of sequence sl when two letters picked without replacement from {s: 1, g: 1, l: 4, m: 2}.
1/14
What is prob of sequence tw when two letters picked without replacement from {w: 13, t: 5}?
65/306
Calculate prob of sequence sjs when three letters picked without replacement from {s: 3, j: 2}.
1/5
What is prob of sequence my when two letters picked without replacement from mspmypsmsl?
1/30
Four letters picked without replacement from uzzzztzzuzuuztzu. What is prob of sequence zuzu?
3/91
What is prob of sequence xicx when four letters picked without replacement from icxpncx?
1/210
Three letters picked without replacement from {e: 3, i: 5, l: 2, p: 5, y: 1}. Give prob of sequence iiy.
1/168
Calculate prob of sequence qj when two letters picked without replacement from qqlllqjjll.
1/15
Four letters picked without replacement from {t: 4, p: 1, b: 2, v: 1}. Give prob of sequence tvpt.
1/140
Two letters picked without replacement from tkztkid. Give prob of sequence zt.
1/21
Two letters picked without replacement from {h: 1, w: 7, d: 1, f: 6}. Give prob of sequence dh.
1/210
What is prob of sequence mlzl when four letters picked without replacement from lmlmmmmllzmzzm?
3/286
What is prob of sequence qj when two letters picked without replacement from {a: 1, j: 1, f: 1, g: 1, q: 2, u: 1}?
1/21
What is prob of sequence pm when two letters picked without replacement from omoookokyoykoypy?
1/240
What is prob of sequence si when two letters picked without replacement from {t: 4, x: 1, i: 2, r: 4, g: 2, s: 1}?
1/91
Two letters picked without replacement from {j: 1, c: 2, o: 1, r: 1, u: 1, a: 2}. What is prob of sequence ra?
1/28
Four letters picked without replacement from {c: 3, f: 1}. What is prob of sequence cfcc?
1/4
What is prob of sequence ckk when three letters picked without replacement from kkkkckkkcckkkkkk?
39/280
What is prob of sequence ttti when four letters picked without replacement from iiittit?
1/35
Calculate prob of sequence nnnn when four letters picked without replacement from {x: 14, n: 4}.
1/3060
Four letters picked without replacement from {g: 1, u: 1, j: 1, c: 1, f: 1}. What is prob of sequence uffc?
0
What is prob of sequence wew when three letters picked without replacement from {e: 7, w: 2}?
1/36
What is prob of sequence sks when three letters picked without replacement from sesfkfffdsas?
1/110
What is prob of sequence nyi when three letters picked without replacement from {b: 1, i: 4, n: 4, y: 2}?
16/495
What is prob of sequence ghhh when four letters picked without replacement from {h: 5, x: 12, g: 1}?
1/1224
Calculate prob of sequence jmjm when four letters picked without replacement from {m: 5, j: 2}.
1/21
Two letters picked without replacement from eemmzmzeffm. Give prob of sequence ef.
3/55
What is prob of sequence kk when two letters picked without replacement from {l: 1, n: 3, p: 3, k: 4}?
6/55
Three letters picked without replacement from {t: 3, i: 1}. What is prob of sequence tti?
1/4
Four letters picked without replacement from {c: 13, u: 5}. Give prob of sequence uccc.
143/1224
Calculate prob of sequence rl when two letters picked without replacement from {u: 1, l: 3, r: 12}.
3/20
Three letters picked without replacement from {z: 1, b: 5, r: 7}. What is prob of sequence bzr?
35/1716
What is prob of sequence ma when two letters picked without replacement from mttatjjmmtas?
1/22
What is prob of sequence qxr when three letters picked without replacement from {r: 1, x: 1, q: 1, a: 2}?
1/60
What is prob of sequence tzhz when four letters picked without replacement from {o: 4, t: 1, n: 1, z: 7, h: 2}?
1/390
What is prob of sequence fbff when four letters picked without replacement from {f: 4, b: 3}?
3/35
Three letters picked without replacement from {n: 1, q: 2, f: 2, x: 1}. What is prob of sequence fxf?
1/60
Two letters picked without replacement from {x: 3, h: 2, w: 13}. What is prob of sequence xx?
1/51
Three letters picked without replacement from {v: 3, w: 1, c: 3, m: 2, z: 1, l: 2}. Give prob of sequence cwz.
1/440
Two letters picked without replacement from {e: 2, p: 1, b: 1, q: 1, g: 1 | {
"pile_set_name": "DM Mathematics"
} |
Give prob of sequence ppvm.
1/918
Four letters picked without replacement from aiiiaiiiiqiqiiqqqqqi. What is prob of sequence qqiq?
77/3876
What is prob of sequence seqs when four letters picked without replacement from qqesessseqq?
1/55
Three letters picked without replacement from nkhnhkhk. Give prob of sequence khk.
3/56
What is prob of sequence ek when two letters picked without replacement from {k: 6, t: 1, e: 8}?
8/35
Calculate prob of sequence ccbt when four letters picked without replacement from {c: 8, b: 5, t: 3}.
1/52
What is prob of sequence cree when four letters picked without replacement from {n: 2, s: 1, c: 1, e: 2, r: 1, b: 1}?
1/840
Three letters picked without replacement from {h: 2, u: 3, n: 4, f: 2, t: 1}. Give prob of sequence uth.
1/220
What is prob of sequence pvvp when four letters picked without replacement from {p: 5, v: 8}?
28/429
Calculate prob of sequence dh when two letters picked without replacement from {a: 2, d: 1, x: 2, o: 1, h: 1}.
1/42
Calculate prob of sequence ck when two letters picked without replacement from {k: 2, c: 2}.
1/3
Four letters picked without replacement from wfwwwwwwwwwwwww. What is prob of sequence wwfw?
1/15
Three letters picked without replacement from {b: 5, a: 2, o: 1, w: 1, x: 3}. Give prob of sequence xxx.
1/220
Calculate prob of sequence ccc when three letters picked without replacement from cccc.
1
Calculate prob of sequence zyt when three letters picked without replacement from tttztdyynt.
1/72
Calculate prob of sequence ehax when four letters picked without replacement from {x: 1, a: 1, e: 1, p: 1, h: 3}.
1/280
What is prob of sequence whw when three letters picked without replacement from {i: 3, h: 2, d: 5, w: 7, y: 1}?
7/408
Calculate prob of sequence qeww when four letters picked without replacement from wqqeqwq.
1/105
Two letters picked without replacement from {f: 3, z: 5}. What is prob of sequence zf?
15/56
Four letters picked without replacement from {k: 4, y: 7}. What is prob of sequence kykk?
7/330
Three letters picked without replacement from {k: 1, j: 3, f: 1, t: 1, e: 6}. Give prob of sequence kfe.
1/220
Two letters picked without replacement from {s: 1, t: 1, p: 1, r: 1, u: 1}. Give prob of sequence st.
1/20
Calculate prob of sequence hz when two letters picked without replacement from kjhykyejz.
1/72
Calculate prob of sequence ogp when three letters picked without replacement from ogaxp.
1/60
Four letters picked without replacement from {n: 1, e: 2, j: 4, k: 9, l: 3}. What is prob of sequence lekn?
3/5168
Calculate prob of sequence tt when two letters picked without replacement from {z: 1, t: 4, m: 2}.
2/7
Calculate prob of sequence yyll when four letters picked without replacement from yyyylyyllylyylylyy.
11/204
Four letters picked without replacement from {e: 8, h: 4, u: 3, j: 4}. Give prob of sequence hjhj.
1/646
Two letters picked without replacement from {g: 3, m: 13}. What is prob of sequence mm?
13/20
What is prob of sequence viuj when four letters picked without replacement from {u: 1, v: 1, i: 2, j: 1}?
1/60
Calculate prob of sequence xrkq when four letters picked without replacement from {q: 1, t: 3, r: 3, x: 1, k: 3}.
1/880
Three letters picked without replacement from {q: 2, z: 1, o: 1, m: 3}. Give prob of sequence mqm.
2/35
Calculate prob of sequence zgz when three letters picked without replacement from {g: 2, z: 7}.
1/6
Two letters picked without replacement from {a: 1, r: 2, k: 4, q: 2}. What is prob of sequence rr?
1/36
What is prob of sequence ym when two letters picked without replacement from {m: 5, y: 4, p: 1, j: 4, u: 2, n: 4}?
1/19
Two letters picked without replacement from {w: 1, t: 1, q: 1, e: 1, r: 3}. Give prob of sequence rt.
1/14
Four letters picked without replacement from bbttbttbbbbt. What is prob of sequence bbbb?
7/99
What is prob of sequence zrrk when four letters picked without replacement from {i: 3, r: 6, z: 1, k: 5}?
5/1092
Four letters picked without replacement from ddtddtdtttttddddtttt. Give prob of sequence dttt.
99/1292
Two letters picked without replacement from myivpspvmypyps. Give prob of sequence iy.
3/182
Four letters picked without replacement from qkkkkkkkkkkkqkkkkk. Give prob of sequence qqkk.
1/153
What is prob of sequence ot when two letters picked without replacement from tooootoototooootoo?
65/306
What is prob of sequence ib when two letters picked without replacement from bibibiibbbibbbbbbbbb?
15/76
What is prob of sequence vl when two letters picked without replacement from {k: 2, l: 3, v: 4, i: 1, p: 4}?
6/91
Two letters picked without replacement from {k: 1, u: 5, p: 2, r: 1, z: 1}. What is prob of sequence pz?
1/45
Four letters picked without replacement from fffffff. What is prob of sequence ffff?
1
Three letters picked without replacement from bkbbbkbk. What is prob of sequence kbk?
5/56
Calculate prob of sequence lj when two letters picked without replacement from lalljllllll.
9/110
Two letters picked without replacement from daahh. Give prob of sequence hd.
1/10
What is prob of sequence kpe when three letters picked without replacement from {q: 1, p: 4, k: 6, e: 3}?
3/91
Four letters picked without replacement from nknnnknkknn. What is prob of sequence knkn?
7/110
What is prob of sequence emme when four letters picked without replacement from dmedme?
1/90
What is prob of sequence avvv when four letters picked without replacement from vavv?
1/4
What is prob of sequence kqkq when four letters picked without replacement from kxkqkxqk?
1/70
Calculate prob of sequence ed when two letters picked without replacement from dbtetzf.
1/42
Calculate prob of sequence gzk when three letters picked without replacement from zzkrzzzkwrgzgwzgkw.
7/544
Calculate prob of sequence pn when two letters picked without replacement from opgopogbonngnopgogo.
1/38
Four letters picked without replacement from {s: 18, c: 1}. What is prob of sequence scsc?
0
Calculate prob of sequence oz when two letters picked without replacement from ozoofoooozoozz.
18/91
What is prob of sequence jlsp when four letters picked without replacement from {j: 1, s: 1, p: 3, l: 7}?
7/3960
Two letters picked without replacement from {l: 1, f: 7}. Give prob of sequence ff.
3/4
Four letters picked without replacement from ooaxoooxxxxa. Give prob of sequence xaaa.
0
Two letters picked without replacement from gbkbkkggkbukkk. What is prob of sequence ku?
1/26
Calculate prob of sequence xmm when three letters picked without replacement from mmxf.
1/12
Calculate prob of sequence djkh when four letters picked without replacement from {j: 2, b: 1, d: 1, h: 5, k: 3}.
1/396
Calculate prob of sequence vw when two letters picked without replacement from {i: 4, w: 4, v: 3}.
6/55
Calculate prob of sequence mqz when three letters picked without replacement from izqiimm.
1/105
Calculate prob of sequence ah when two letters picked without replacement from nblnlbhanhnlbnhljh.
2/153
Four letters picked without replacement from {a: 2, i: 1, w: 2}. What is prob of sequence wiaw?
1/30
Two letters picked without replacement from {t: 5, n: 1, r: 3}. Give prob of sequence rt.
5/24
Two letters picked without replacement from ypyyypypypyyyyypypy. Give prob of sequence pp.
5/57
What is prob of sequence llll when four letters picked without replacement from lellle?
1/15
Two letters picked without replacement from ztfggtg. What is prob of sequence zt?
1/21
Calculate prob of sequence aw when two letters picked without replacement from wapiia.
1/15
Three letters picked without replacement from fqffffff. What is prob of sequence fqf?
1/8
Three letters picked without replacement from {y: 2, e: 1, a: 2, v: 8}. Give prob of sequence evy.
4/429
Calculate prob of sequence utt when three letters picked without replacement from {u: 1, m: 1, t: 7}.
1/12
Calculate prob of sequence lxvx when four letters picked without replacement from llvxdlbddx.
1/840
Two letters picked without replacement from sis. Give prob of sequence ii.
0
Three letters picked without replacement from {o: 3, x: 1, r: 1}. Give prob of sequence oro.
1/10
Calculate prob of sequence ngpu when four letters picked without replacement from plwugnullllwwllguguw.
1/9690
Calculate prob of sequence lll when three letters picked | {
"pile_set_name": "DM Mathematics"
} |
-4
Express (30 + 22 - 41)*(-s**3 + s**3 + s**3) as y + x*s + b*s**3 + m*s**2 and give b.
11
Express -o + 0*o**2 + 73626*o**3 - 73603*o**3 - o**2 in the form i*o**2 + w + n*o + b*o**3 and give i.
-1
Rearrange -15*m + 105*m + 2*m - 6*m to the form v + a*m and give a.
86
Rearrange -86 + 259 - 72 - 10*j - 85 to u + v*j and give u.
16
Express 0*h**4 + 10 - 6*h**3 - 9 - 97*h - 2*h**4 + 4*h**3 as n*h**3 + w*h**2 + k*h**4 + o*h + t and give t.
1
Rearrange 46*o**2 + 21 - 21 + (o + o + 0*o)*(-5*o + 2*o + 4*o) to l + i*o**2 + h*o and give i.
48
Express d**2 - 62 + 2*d - 4*d**2 + d**2 - d**2 as k + f*d + h*d**2 and give k.
-62
Rearrange (-1181 - 1653 + 109)*(-2*i**3 + 2*i**3 + i**3) to w + t*i + p*i**3 + v*i**2 and give p.
-2725
Rearrange -35*b + 12*b**3 + b**2 + 4*b + 3*b**2 - 4*b**2 to r*b**2 + g*b + c*b**3 + s and give c.
12
Rearrange 0*n + 2*n + 2*n**4 - 3*n**4 + (1064 - 260*n**3 - 1064)*(-1 + 1 - 1)*(-5*n - n + 5*n) to p*n + y*n**4 + h*n**2 + v*n**3 + j and give y.
-261
Express -2*b + b + 2*b**4 - 157 - 148 + 303 - 80*b**2 - b**3 as x*b**4 + f*b + i*b**2 + v + z*b**3 and give i.
-80
Rearrange j - 17 - 3*j**3 + 3*j + 5*j**3 + 0*j - 3*j**3 + j**2 to s*j + f*j**3 + i + q*j**2 and give f.
-1
Rearrange (c**2 - 2*c**3 - c**2)*(-17 + 16 - 67) + (-c + c - c)*(4*c**2 + 5 - 5) to the form b*c + j*c**2 + p*c**3 + x and give p.
132
Rearrange -25 + 47*a**2 + 51*a**2 + 53*a**2 - 138*a**2 to d*a**2 + u + h*a and give h.
0
Express (-5*q + 3*q + 3*q)*(-4275*q**2 + 2183*q**2 + 2448*q**2) as i + h*q**3 + y*q**2 + c*q and give h.
356
Express (0*a - 9*a + 2*a)*(-101*a**3 - 57*a**3 + 233*a**3) in the form s*a + c*a**4 + z*a**3 + d + p*a**2 and give c.
-525
Rearrange 23*i - 14*i + 34*i - i - 2*i + 4*i + (2*i + i + 0*i)*(-1 - 4 + 4) to the form m + y*i and give y.
41
Express (-5 + 2 - 2 + (2 + 1 - 2)*(4 - 1 - 4) + 5 + 1 - 3)*(f + 6*f - 4*f) in the form a + b*f and give b.
-9
Express (3 + 4 - 4)*(-206*p - 240*p - 164*p + 16*p) in the form o*p + t and give o.
-1782
Express -4 + 5*b**2 + 227*b - 2*b**4 + b**3 - 225*b - 2*b**3 in the form m*b**2 + d + v*b**3 + k*b + n*b**4 and give d.
-4
Rearrange -644*z - 522*z + 170*z - 509*z to m + w*z and give w.
-1505
Rearrange 13 + s**3 + 1 + 0 + 9 to t*s**3 + a*s**2 + k*s + v and give v.
23
Express (-12 - 22 + 36)*((6 - 2 - 5)*(t**3 + 0*t**3 - 2*t**3) + 6*t**3 - 39*t + 39*t) as y*t + q*t**3 + a*t**2 + u and give q.
14
Express -21*w + 12*w + 4*w + 439*w**2 + 5*w as i*w + b + m*w**2 and give m.
439
Rearrange 65 + 3*i - 3*i - 65 + 263*i**2 to h + b*i + r*i**2 and give r.
263
Express -4*x**4 + 6*x**3 - 5*x**2 + 2 + 14*x**4 - 11*x**4 - 2*x + 3*x as p*x**3 + y*x**2 + a*x**4 + g + c*x and give g.
2
Express -50*r**3 + 72*r**3 - 56*r**3 - 2*r**3 - 6*r**3 + 5*r**3 + (-2*r**2 + 4*r**2 - 4*r**2)*(4*r - 4*r + r) as u*r + t + c*r**2 + a*r**3 and give a.
-39
Rearrange (-274 + 387 - 271)*(2*a + 2 - 2) to b*a + x and give b.
-316
Rearrange 8*s**2 - 4*s**2 - 2007*s**3 + 2011*s**3 + 20*s to t*s**3 + a*s + l + g*s**2 and give a.
20
Rearrange 102*k**2 - 5498 + 2748 + 2748 to the form g + i*k**2 + p*k and give g.
-2
Rearrange -124*a**2 + 239*a**2 - 34 - 113*a**2 to the form n*a + s + o*a**2 and give o.
2
Express 3*u**2 - 4*u**2 + 2*u**3 - u**2 + (-4 + 7 + 3*u**2 - 1)*(-7*u + 5*u - u) as n*u + k*u**2 + l + i*u**3 and give i.
-7
Rearrange (16*n**2 - 7*n + 7*n)*(-n + 0*n - n)*(-65 - 17 - 10) to x*n**2 + v*n + c + l*n**3 and give l.
2944
Express -3*o**4 + 0*o**4 + 5*o**4 + (-o - 3*o + 6*o)*(-3*o**3 - o**2 + o**2) + 36*o**4 - 58*o**4 - 106*o**4 as c + i*o**2 + f*o**3 + z*o + j*o**4 and give j.
-132
Rearrange (-375*i + 375*i - 9*i**3)*(0 - 1 + i - 2*i) to the form g*i**3 + j*i**4 + b + w*i**2 + z*i and give z.
0
Rearrange (3*f + 216 - 216 - 2*f**2)*(-2*f**2 + 0*f + 0*f) to the form x*f + k*f**4 + r + g*f**3 + m*f**2 and give g.
-6
Rearrange ((-31 - 11 - 12)*(-2*c + 6*c + 0*c) + 2*c - 2*c + c)*((2*c + 2 - 2)*(1 - 2 - 1) - 3*c + 5*c - c - 4 + 2*c + 4) to r*c + h*c**2 + y and give h.
215
Express 2079*l**2 - 4480*l**2 + 1962*l**2 + 0 + 0 as g*l**2 + s*l + n and give g.
-439
Express (-77 + 77 + 26*b)*(-5*b + 4*b - 5*b)*(-1 + 2 + 3) as r + k*b**2 + h*b and give k.
-624
Rearrange 4*t + 9 - 115*t**2 - 9 + 3*t - 6*t to the form b + n*t**2 + g*t and give g.
1
Rearrange (-4*x + 3 - 3)*(-5 + 6 - 4) - 5*x - 2*x + 0*x to the form v + q*x and give q.
5
Express (1 + 0 + 0)*(430 - 420 + 21*q - 2*q) in the form d*q + l and give d.
19
Rearrange -13*t - 54*t - 4*t + (-3*t + 0*t + 5*t)*(-2 + 6 - 3)*(4 - 5 + 3) to the form v + q*t and give q.
-67
Express -k**2 + 0*k + 2*k**3 - 12 + 10 - 21*k**4 - k + 5*k**2 + 9*k**4 in the form v*k**2 + w*k + c*k**4 + u*k**3 + d and give c.
-12
Rearrange -271 + 3*b**3 - 7*b**2 + b**3 + 271 to y + h*b**3 + c*b + m*b**2 and give h.
4
Express -v**2 - 9730 - 189*v + 9730 in the form k + d*v + i*v**2 and give k.
0
Express 3*q**2 + q**2 + 67*q**3 + 48*q**3 - 5*q**2 as r + c*q**2 + y*q + u*q**3 and give u.
115
Express 1 + 204*h**2 + 0 - 4 - 51*h**2 + 5 as t*h + u + n*h**2 and give n.
153
Express 405*r + 326*r + 253*r as a + x*r and give a.
0
Rearrange (1 - 1 + 10*p)*(925*p + 529*p - 472*p + 216*p) to r*p + q*p**2 + j and give q.
11980
Express -4 + 2 + 4*k + 198*k**4 + 131*k**3 - 2*k - 131*k**3 as s*k**3 + x*k**4 + y*k**2 + j + o*k and give j.
-2
Rearrange 95 - 86 + 14*f**2 - 4*f - f + 5*f to d + s*f + w*f**2 and give s.
0
Rearrange -53182*r + 53182*r - 4*r**2 + 1 to the form b*r**2 + v*r + s and give s.
1
Rearrange 131*f**3 - 596*f**2 + 3*f - f + 598*f**2 - 25*f**3 to the form w*f**2 + i + l*f**3 + b*f and give w.
2
Rearrange -9*b - 6*b - 2 + 21*b - 104*b**2 - 6*b to the form l*b**2 + y + d*b and give y.
-2
Express 3*c + 0*c + 6*c - 2*c**3 - c**3 - c**2 - 2 as k + r*c + l*c**3 + i*c**2 and give k.
-2
Rearrange -2*k**2 - 2 + 10*k + k**2 + 0*k**2 + 13758*k**3 - 13759*k**3 to the form l*k + h*k**2 + z*k**3 + b and give b.
-2
Express -k**2 + 17*k - 1 - 5*k**2 - 2*k**2 + k**2 + 3*k**2 in the form p*k**2 + c*k + u and give c.
17
Rearrange -2*q**3 + 17*q + 3*q - 5*q**2 + 5*q**2 + q**2 to the form f*q**2 + j*q + s*q**3 + w and give f.
1
Rearrange 15 - 15 + 0*u**2 + 1 - u**2 - 211*u to h*u + t*u**2 + x and give h.
-211
Rearrange (-4*f - 4*f + 4*f + (-2 - 1 + 1)*(-2*f + 5*f - 2*f) - f - 4*f + 4*f)*(12 + 9 - 4) to the form c + w*f and give w.
-119
Express 8*y - 38 - 15*y + 6*y - 62 in the form o*y + s and give s.
-100
Express (7 - 7 + 28*v**2)*(-5 + 3 + 0) as t*v**2 + a*v + h and give t.
-56
Rearrange 612 - 207 + 67*d**2 - 206 - 199 + 8*d**3 to w*d**2 + i*d**3 + h*d + c and give i.
8
Express -97*r + 593*r + 780*r + 92*r in the form c + y*r and give y.
1368
Rearrange (-86 + 55 - 94)*((0 - 1 - 1)*(0 - 6 + 5)*(-3 + 5 + 2) + (1 - 1 + 2)*(-3 + 3 - 1) + 4 - 2 - 1)*(f**2 + 2*f**2 - 2*f**2) to x*f + w*f**2 + h and give w.
-875
Rearrange 1 + 4*i + 238*i**3 + i - 1 - 3*i to the form w*i**2 + z + b*i**3 + o*i and give o.
2
Rearrange (-x + 2*x + 0*x)*(-174 - 98 - 745) + 2*x + x - 2 - 5*x to z*x + k and give z.
-1019
Express (56 + 30 - 2)*(6*g - 2*g - 3*g)*(-4 + 15*g + 4) as n + q*g + u*g**2 and give u.
1260
Rearrange (-5*t + 4*t - 2*t)*(1 - 12*t + 137*t + 103*t) to the form r*t + d*t**2 + j and give r.
-3
Rearrange (0*m - 2*m - m)*(160 - 358 + 173) - 3*m + 3*m + m to t + h*m and give h.
76
Express -q + 2*q - 2*q + (0*q - 5*q + 4*q)*(0 + 1 + 0) + 196*q - 587*q + 179*q in the form p*q + v and give p.
-214
Express 0 - 3756*t + 3755*t - 2 - 577*t**2 as w*t**2 + m*t + x and give m.
-1
Rearrange -11*m - 12*m**3 + 2*m**3 - 13*m**3 - 10*m**3 + 13*m**3 to the form v*m + t + x*m**2 + n*m**3 and give v.
-11
Express -1 - 34*g**2 - 63*g**2 + 67*g**2 in the form s*g + x + t*g**2 and give t.
-30
Rearrange (14 + 56 - 23)*(-66*s - 199 + 199 + (0 - 1 - 1)*(4*s - s - 4*s)) to r + a*s and give r.
0
Express -78 - 258*y - 107*y**3 + 258*y + 75 as i + d*y**3 + x*y + c*y**2 and give i.
-3
Rearrange (17 - 17 + 7*s**2)*(-4 + 6 + 5) - 3*s**2 + s**2 + 0*s**2 - 2 + s**2 + 2 + (0*s**2 - s**2 + 3*s**2)*(-2 + 3 - 2) to j*s + k + o*s**2 and give o.
46
Express 34*w - 5*w**2 + 4*w**2 + 7 + 4*w**2 - 2*w**2 in the form c*w + f + p*w**2 and give p.
1
Express 5*k - 2*k - 3*k + 122*k**2 - 24*k**2 - 2*k as n + v*k + b*k**2 and give b.
98
Express (-11*r + 2*r + 4*r)*(-2 - 2 + 0) + 1 - 1 + 2*r + (-2 + 0 + 4)*(r - 3*r + | {
"pile_set_name": "DM Mathematics"
} |
t integer?
53
What is the cube root of 2003150 to the nearest integer?
126
What is 1448652 to the power of 1/2, to the nearest integer?
1204
What is the seventh root of 4603892 to the nearest integer?
9
What is the square root of 4340498 to the nearest integer?
2083
What is the cube root of 1496617 to the nearest integer?
114
What is the square root of 4860754 to the nearest integer?
2205
What is 25312930 to the power of 1/2, to the nearest integer?
5031
What is the square root of 12140703 to the nearest integer?
3484
What is 15635262 to the power of 1/3, to the nearest integer?
250
What is the square root of 5555252 to the nearest integer?
2357
What is the eighth root of 147223 to the nearest integer?
4
What is 3417870 to the power of 1/7, to the nearest integer?
9
What is the cube root of 1469685 to the nearest integer?
114
What is the square root of 46910 to the nearest integer?
217
What is the third root of 20865014 to the nearest integer?
275
What is the cube root of 1617084 to the nearest integer?
117
What is the cube root of 1893143 to the nearest integer?
124
What is 1916249 to the power of 1/3, to the nearest integer?
124
What is the square root of 3948474 to the nearest integer?
1987
What is the third root of 6066710 to the nearest integer?
182
What is 3101590 to the power of 1/3, to the nearest integer?
146
What is 4634887 to the power of 1/3, to the nearest integer?
167
What is the third root of 3697855 to the nearest integer?
155
What is 297783 to the power of 1/2, to the nearest integer?
546
What is 3155653 to the power of 1/10, to the nearest integer?
4
What is the third root of 484048 to the nearest integer?
79
What is the tenth root of 4707940 to the nearest integer?
5
What is 7638738 to the power of 1/2, to the nearest integer?
2764
What is 129783 to the power of 1/6, to the nearest integer?
7
What is 219697 to the power of 1/6, to the nearest integer?
8
What is 261013 to the power of 1/3, to the nearest integer?
64
What is the seventh root of 4467548 to the nearest integer?
9
What is the square root of 462220 to the nearest integer?
680
What is the square root of 30187452 to the nearest integer?
5494
What is 125269 to the power of 1/2, to the nearest integer?
354
What is the sixth root of 937967 to the nearest integer?
10
What is the square root of 57231 to the nearest integer?
239
What is the fourth root of 1384296 to the nearest integer?
34
What is the eighth root of 323085 to the nearest integer?
5
What is the seventh root of 74885 to the nearest integer?
5
What is the third root of 788789 to the nearest integer?
92
What is 569679 to the power of 1/2, to the nearest integer?
755
What is 15799 to the power of 1/2, to the nearest integer?
126
What is the square root of 179868 to the nearest integer?
424
What is the third root of 449473 to the nearest integer?
77
What is the fourth root of 2745439 to the nearest integer?
41
What is 2830404 to the power of 1/2, to the nearest integer?
1682
What is the ninth root of 287316 to the nearest integer?
4
What is the tenth root of 11272249 to the nearest integer?
5
What is 3346056 to the power of 1/2, to the nearest integer?
1829
What is the square root of 21122865 to the nearest integer?
4596
What is the cube root of 2148049 to the nearest integer?
129
What is the eighth root of 28716674 to the nearest integer?
9
What is the square root of 4728943 to the nearest integer?
2175
What is the third root of 112947 to the nearest integer?
48
What is 5228172 to the power of 1/8, to the nearest integer?
7
What is the cube root of 12683183 to the nearest integer?
233
What is 587199 to the power of 1/3, to the nearest integer?
84
What is 106230 to the power of 1/5, to the nearest integer?
10
What is the fourth root of 12876000 to the nearest integer?
60
What is 358611 to the power of 1/2, to the nearest integer?
599
What is 4355314 to the power of 1/2, to the nearest integer?
2087
What is 226917 to the power of 1/3, to the nearest integer?
61
What is 832086 to the power of 1/2, to the nearest integer?
912
What is the square root of 15616249 to the nearest integer?
3952
What is the fifth root of 120004 to the nearest integer?
10
What is 11678331 to the power of 1/2, to the nearest integer?
3417
What is the fifth root of 716646 to the nearest integer?
15
What is the eighth root of 3217610 to the nearest integer?
7
What is the third root of 12896103 to the nearest integer?
235
What is 603112 to the power of 1/2, to the nearest integer?
777
What is the cube root of 7217382 to the nearest integer?
193
What is the square root of 2345 to the nearest integer?
48
What is the third root of 4417292 to the nearest integer?
164
What is 1802015 to the power of 1/6, to the nearest integer?
11
What is 358263 to the power of 1/3, to the nearest integer?
71
What is the fourth root of 10710753 to the nearest integer?
57
What is 28729033 to the power of 1/2, to the nearest integer?
5360
What is the seventh root of 4467946 to the nearest integer?
9
What is the seventh root of 54294 to the nearest integer?
5
What is the cube root of 4486669 to the nearest integer?
165
What is the cube root of 785540 to the nearest integer?
92
What is the square root of 462375 to the nearest integer?
680
What is 3736217 to the power of 1/7, to the nearest integer?
9
What is the square root of 4458345 to the nearest integer?
2111
What is the square root of 18309730 to the nearest integer?
4279
What is the third root of 148682 to the nearest integer?
53
What is the fourth root of 276530 to the nearest integer?
23
What is 206725 to the power of 1/5, to the nearest integer?
12
What is 1312271 to the power of 1/6, to the nearest integer?
10
What is the third root of 4702688 to the nearest integer?
168
What is the square root of 16038056 to the nearest integer?
4005
What is 1329647 to the power of 1/8, to the nearest integer?
6
What is the eighth root of 18442815 to the nearest integer?
8
What is 27977 to the power of 1/3, to the nearest integer?
30
What is the square root of 198859 to the nearest integer?
446
What is 198499 to the power of 1/5, to the nearest integer?
11
What is the square root of 16059644 to the nearest integer?
4007
What is the third root of 1269966 to the nearest integer?
108
What is the third root of 204974 to the nearest integer?
59
What is the third root of 14377 to the nearest integer?
24
What is the tenth root of 105984 to the nearest integer?
3
What is the eighth root of 2418993 to the nearest integer?
6
What is 498771 to the power of 1/4, to the nearest integer?
27
What is the cube root of 619055 to the nearest integer?
85
What is the eighth root of 507665 to the nearest integer?
5
What is 9406267 to the power of 1/8, to the nearest integer?
7
What is the cube root of 13483601 to the nearest integer?
238
What is 1820634 to the power of 1/7, to the nearest integer?
8
What is the sixth root of 49723 to the nearest integer?
6
What is the ninth root of 783672 to the nearest integer?
5
What is 46779 to the power of 1/9, to the nearest integer?
3
What is 663281 to the power of 1/7, to the nearest integer?
7
What is the cube root of 5275692 to the nearest integer?
174
What is the third root of 274064 to the nearest integer?
65
What is 3049203 to the power of 1/5, to the nearest integer?
20
What is the square root of 4446040 to the nearest integer?
2109
What is 5248489 to the power of 1/2, to the nearest integer?
2291
What is the cube root of 960371 to the nearest integer?
99
What is the ninth root of 7856 to the nearest integer?
3
What is the square root of 12077477 to the nearest integer?
3475
What is 26958819 to the power of 1/2, to the nearest integer?
5192
What is 54182 to the power of 1/3, to the nearest integer?
38
What is the tenth root of 1216758 to the nearest integer?
4
What is 349334 to the power of 1/3, to the nearest integer?
70
What is 105420 to the power of 1/2, to the nearest integer?
325
What is 837581 to the power of 1/2, to the nearest integer?
915
What is 473550 to the power of 1/2, to the nearest integer?
688
What is 7326964 to the power of 1/9, to the nearest integer?
6
What is 8227839 to the power of 1/3, to the nearest integer?
202
What is the square root of 1525837 to the nearest integer? | {
"pile_set_name": "DM Mathematics"
} |
4
Suppose 4*q - 84 - 120 = 0. Suppose 0*y - 5*y - 2*g = -q, 4*g - 36 = -4*y. Calculate the greatest common divisor of y and 891.
11
Let w = -15868 + 18139. Calculate the highest common factor of 6 and w.
3
Suppose 0 = -x + c + 103, -5*c + 398 = 5*x - 97. Let l = 189 - x. Calculate the greatest common divisor of l and 22.
22
Let y = -117 - -172. Let n be (3 + 0)*4/12. Suppose 3*u + n = 4*x - 2*x, u - 3 = 0. What is the greatest common factor of y and x?
5
Suppose 82 = h - 168. Suppose -5*c + 22 = -y - 33, 6*y = -5*c + 20. What is the greatest common factor of h and c?
10
Let d = -2577 + 3032. Let h = 29 - -36. Calculate the highest common divisor of d and h.
65
Let u(n) = -3*n**2 - 48*n + 16. Let i be u(-14). Suppose i*b - 68 = 96*b. Let a = 100 + -49. What is the highest common factor of a and b?
17
Let l(d) = d**2 + 28*d + 155. Suppose -6*q = -9*q - 66. Let h be l(q). What is the greatest common divisor of 529 and h?
23
Let d be 2413/15 - 36/(-270). Let p = -97 - -104. What is the highest common factor of p and d?
7
Let t = 5 + 163. Suppose -t = p - 2*p + 2*y, -3*p + 4*y = -512. Let j be (1/3)/((-10)/(-660)). Calculate the highest common divisor of j and p.
22
Let f(d) = -44*d + 5 + 0*d**2 + d**2 - 1 + 46*d. Let a be f(-3). Let l = 13 - a. What is the greatest common factor of 3 and l?
3
Suppose 4*t + 3*s - 316 = 2*s, -2*t - 2*s = -164. Let l = t + -83. Let d = 49 - l. What is the highest common divisor of d and 54?
54
Suppose 2*x = -l + 8, 3*l - 22 - 2 = x. Suppose 11*v = l*v + 9. Suppose 98 = n + 3*n - w, 131 = 5*n + v*w. Calculate the greatest common factor of n and 175.
25
Suppose 5*r = -3*q + 6274, 0*r + 4*r - 5*q - 5034 = 0. What is the greatest common divisor of r and 24?
8
Let k(a) = 110*a - 707. Let l be k(7). Let q be (6 - 15/1)/((-1)/3). Calculate the greatest common factor of l and q.
9
Let f be 23595/15 - 2*6. Calculate the highest common divisor of f and 223.
223
Suppose -12 = 190*k - 192*k, -5*k = -2*t + 350. What is the greatest common divisor of t and 1930?
10
Let q(m) = 22*m**2 + 310*m + 1460. Let p be q(-5). What is the highest common factor of p and 1940?
20
Suppose -122*i + 9289 - 49 = -17*i. Let z = 56 - -10. Calculate the highest common factor of z and i.
22
Let m be (-1 + (-280)/12)/(2 + (-1302)/648). What is the highest common factor of 36 and m?
36
Suppose 97603 = 45*d - 138692. Calculate the highest common divisor of 59 and d.
59
Let b(u) = -2*u**2 - 105*u - 1084. Let q be b(-26). What is the highest common factor of q and 784?
98
Let l(h) be the first derivative of -5*h**2/2 - 19*h + 4. Let o be l(-4). Let x be (o - (-21)/6)*6. What is the highest common divisor of x and 135?
27
Let j(w) = w + 1. Let k(b) = -b - 23. Let z(n) = 2*j(n) + k(n). Let o be z(11). Let u be o/((-10)/(-75)*-3). What is the greatest common divisor of u and 225?
25
Let u be (1 - 1)/(1 + -2). Suppose -3*h = 3*x - x - 27, -4*x - h + 59 = u. Let g be 227 + -42*132/(-198). Calculate the highest common divisor of g and x.
15
Suppose -k + 85 = 5*n, 0 = 4*n - 12. Let y be (-5 - -2) + 6 + 2. Suppose 0 = -4*t - q + 26 + 18, 58 = y*t + 2*q. What is the greatest common divisor of k and t?
10
Let y be 16/40 + 68/5. Let t(l) = -30*l - 17. Let v be t(-8). Let x = 321 - v. Calculate the highest common factor of y and x.
14
Let m(p) be the third derivative of -203*p**4/24 + p**3 + 8*p**2 - 2*p. Let w be m(-1). Calculate the greatest common divisor of w and 38.
19
Suppose 1560 = 17*d - 973. What is the highest common divisor of 26969 and d?
149
Let r = 2010 - 1662. What is the highest common factor of 638 and r?
58
Suppose -5*q - 2*i = -244, -3*q + 90 = -2*i - 66. Let d be (-2094)/78 + 2/(-13). Let w = q + d. What is the highest common factor of 184 and w?
23
Suppose -134 = -4*z - 6. Let p be 13*(-2600)/(-32) + (-2)/8. Calculate the highest common divisor of z and p.
32
Let b = 10062 - 9999. Calculate the highest common factor of b and 11130.
21
Let n(c) = 38*c**2 + 40*c + 184. Let d be n(-11). Calculate the greatest common factor of 104 and d.
26
Suppose 0 = 4*j + q + 4*q - 216, 5*j = 5*q + 270. Suppose -10*o - 678 + 48 = 0. Let k = -45 - o. Calculate the highest common divisor of j and k.
18
Suppose 24 = 9*o - 30. Let f(l) = -l**3 + 8*l**2 - 6*l - 9. Let r be f(7). Let j be (-500)/(-30)*o*1 + r. What is the greatest common divisor of j and 28?
14
Let d(w) = 1370*w + 1260. Let k be d(10). What is the greatest common divisor of 272 and k?
272
Let g(x) = x**2 + 64*x + 150. Let a be g(-62). What is the highest common divisor of 2314 and a?
26
Suppose -1587600 = 119*b - 794*b. What is the highest common factor of b and 476?
28
Suppose -4*k = -5*k + 75. Let j = 102272 - 102242. What is the highest common factor of k and j?
15
Suppose -5196*k + 26416 + 5522 = -28692 + 8670. Let x(i) = -i + 300. Let d be x(0). What is the greatest common divisor of d and k?
10
Suppose -459 = -3*r - 111. Suppose -r = -8*g + 6*g - 2*k, 4*g + k = 247. Calculate the highest common divisor of 27 and g.
9
Suppose 2082 = -383*c + 387*c + 5*l, 5*c = 3*l + 2547. Calculate the greatest common factor of 1767 and c.
57
Suppose m - 16 - 17 = 0. Let i = 41479 + -41476. Calculate the highest common factor of m and i.
3
Suppose -5*j + 3593 - 948 = -5*w, 0 = 2*j - 3*w - 1057. Let m = j - 416. What is the highest common divisor of m and 513?
57
Suppose -5*b = 2*b - 273. Suppose 0 = -3*v + s + s + 829, -2*s = -v + 283. What is the highest common factor of v and b?
39
Suppose 3*q + 9*u - 7*u = 1153, q - 5*u - 373 = 0. Suppose -15*o + 1808 = q. Calculate the highest common divisor of 152 and o.
19
Suppose k = 2*k - 238. Let a = -3661 + 3695. Calculate the greatest common divisor of k and a.
34
Suppose -h - 2*h + 33 = 0. Suppose -25*s = -26*s - 789. Let x = -712 - s. What is the highest common factor of x and h?
11
Let u be (-690)/12*52*(-1)/(-50)*-5. Calculate the greatest common divisor of 368 and u.
23
Let b be (-24135)/(-18) - 5/(-10) - (-3)/(-9). Calculate the highest common factor of b and 27.
9
Let f(n) = -107*n - 1043. Let b be f(-19). Calculate the highest common divisor of 528 and b.
66
Let f = 228 - 122. Suppose q + f = 222. Calculate the greatest common factor of q and 29.
29
Suppose 44*u - 846 = -3*n + 45*u, 0 = -n + 4*u + 260. Calculate the highest common factor of 1917 and n.
71
Let c = 3607 - 3597. Calculate the highest common divisor of c and 310.
10
Let a(u) = 0*u**2 + 100*u - 106*u + u**2 - 24. Let z be a(12). Let w(y) = -4*y - 12. Let f be w(-9). Calculate the greatest common factor of z and f.
24
Let v(j) = 2*j + 20. Suppose -z + 12*z = -55. Let n be v(z). Suppose -5*i + n = 0, -2*i - 167 = -5*s - 3*i. Calculate the highest common factor of s and 22.
11
Let v be (-10)/(1 - 0)*-85. Let n(w) = -2347*w + 18826. Let c be n(8). Calculate the greatest common divisor of v and c.
50
Let j be 2*1*302*(-55)/(-110). Let d = -251 + j. What is the greatest common divisor of d and 102?
51
Let q(y) = -y + 4. Let j be q(0). Suppose -2*v = 5*r - 373, 5*v = v - j*r + 740. Let l = -24839 + 24862. What is the highest common factor of l and v?
23
Suppose 10*i = 11*i + 4*l - 69, i - 69 = 4*l. Calculate the highest common divisor of i and 23.
23
Suppose -4*z = 3*g - g - 80, 19 = z + g. Suppose 2*q - 47 = -a, -260*q = -254*q - 60. What is the highest common divisor of a and z?
3
Let c be 0/((-7)/((-21)/6)). Suppose 33*v - 191 - 40 = c. What is the highest common factor of v and 70?
7
Let j(b) = b**2 + 4*b - 13. Let m be j(-6). Let h be 48/(-3)*((-25)/(-20))/m. What is the highest common divisor of 380 and h?
20
Suppose -900 = -1047*r + 1029*r. Calculate the highest common factor of r and 9650.
50
Suppose -5*k - 6 = -k + s, -4*k + 3*s + 2 = 0. Let t be 24 + -21 - 6/k. Calculate the greatest common factor of 2 and t.
1
Suppose -3*p - 70 = 6*s - 8*s, 2*s = 5*p + 70. Suppose 5*i - 81 = -4*c + 52, i = -5*c + s. What is the highest common factor of 100 and i?
25
Let n(d) = -d**2 - 18*d + 643. Let i be n(15). What is the highest common factor of 1517 and i?
37
Suppose -x + 2819 = -285. Suppose -19*l - x = -23*l. Let o be (-2)/(-13) + l/26. What is the greatest common divisor of 6 and o?
6
Let r(h) = h**2 - 17*h + 5. Let y be r(17). Suppose 7*q = y*q - 8. Let m be q/(-6) + 266/6. What is the greatest common f | {
"pile_set_name": "DM Mathematics"
} |
nder when 367442 is divided by 36743?
12
What is the remainder when 2664079 is divided by 1684?
1675
What is the remainder when 467443 is divided by 4399?
1149
Calculate the remainder when 105122455 is divided by 229525.
5
What is the remainder when 20385996 is divided by 100?
96
What is the remainder when 379755 is divided by 189808?
139
What is the remainder when 1375108 is divided by 22?
20
Calculate the remainder when 82137597 is divided by 480.
477
What is the remainder when 15080003 is divided by 46?
7
Calculate the remainder when 3045044 is divided by 178.
176
What is the remainder when 117212 is divided by 103?
101
What is the remainder when 2430605 is divided by 221?
47
Calculate the remainder when 563522 is divided by 220.
102
Calculate the remainder when 667011 is divided by 768.
387
Calculate the remainder when 285411 is divided by 95129.
24
What is the remainder when 15068994 is divided by 101?
97
Calculate the remainder when 1516380 is divided by 4724.
4700
Calculate the remainder when 27112 is divided by 520.
72
What is the remainder when 184274093 is divided by 6354279?
2
What is the remainder when 234537131 is divided by 7093?
7086
What is the remainder when 50839 is divided by 8376?
583
Calculate the remainder when 9995746 is divided by 1110619.
175
Calculate the remainder when 14131599 is divided by 114.
45
Calculate the remainder when 12941409 is divided by 15.
9
What is the remainder when 509262 is divided by 3070?
2712
What is the remainder when 21348 is divided by 173?
69
Calculate the remainder when 1181052794 is divided by 8834.
8832
Calculate the remainder when 41160503 is divided by 164642.
3
What is the remainder when 25509 is divided by 1000?
509
Calculate the remainder when 1701332 is divided by 189036.
8
What is the remainder when 196746 is divided by 535?
401
Calculate the remainder when 260374 is divided by 2036.
1802
What is the remainder when 208609661 is divided by 304?
301
Calculate the remainder when 6636181 is divided by 322.
83
Calculate the remainder when 23692 is divided by 2106.
526
What is the remainder when 10822975 is divided by 83?
24
What is the remainder when 1706007 is divided by 518?
233
Calculate the remainder when 111339 is divided by 55577.
185
Calculate the remainder when 369937615 is divided by 5587.
5584
Calculate the remainder when 3796007 is divided by 941.
13
Calculate the remainder when 2488686 is divided by 51844.
174
Calculate the remainder when 607162 is divided by 10836.
346
What is the remainder when 1361547 is divided by 7692?
63
What is the remainder when 1909902 is divided by 20?
2
Calculate the remainder when 2381705 is divided by 232.
225
What is the remainder when 561504 is divided by 1796?
1152
Calculate the remainder when 1463286 is divided by 459.
453
Calculate the remainder when 242241940 is divided by 339.
337
Calculate the remainder when 2688088 is divided by 30.
28
Calculate the remainder when 16850187 is divided by 3.
0
What is the remainder when 21024259 is divided by 434?
431
Calculate the remainder when 614333 is divided by 95.
63
Calculate the remainder when 233386 is divided by 1326.
10
What is the remainder when 94960 is divided by 416?
112
Calculate the remainder when 7056185 is divided by 90.
5
Calculate the remainder when 28906 is divided by 9058.
1732
Calculate the remainder when 20668015 is divided by 861166.
31
What is the remainder when 112788270 is divided by 12532029?
9
What is the remainder when 6830725 is divided by 243?
238
What is the remainder when 14690438 is divided by 638?
488
Calculate the remainder when 646575 is divided by 40409.
31
What is the remainder when 3692514 is divided by 246166?
24
What is the remainder when 327528061 is divided by 314?
313
Calculate the remainder when 18756324 is divided by 86.
68
What is the remainder when 2243002 is divided by 657?
4
What is the remainder when 12074593 is divided by 201239?
253
What is the remainder when 259065494 is divided by 43?
40
Calculate the remainder when 2966102 is divided by 739.
495
What is the remainder when 32629059 is divided by 2110?
19
What is the remainder when 53662998 is divided by 81?
12
Calculate the remainder when 92105 is divided by 10110.
1115
Calculate the remainder when 22886091 is divided by 118.
109
What is the remainder when 2055155 is divided by 706?
695
Calculate the remainder when 9694266 is divided by 37001.
4
What is the remainder when 6560517 is divided by 15?
12
What is the remainder when 28094 is divided by 638?
22
Calculate the remainder when 58437 is divided by 57927.
510
What is the remainder when 15520276 is divided by 6176?
6164
Calculate the remainder when 1469841 is divided by 774.
15
What is the remainder when 475424 is divided by 165?
59
Calculate the remainder when 26866 is divided by 472.
434
What is the remainder when 2221530 is divided by 740495?
45
Calculate the remainder when 402777 is divided by 855.
72
Calculate the remainder when 19908 is divided by 19844.
64
What is the remainder when 6640923 is divided by 75465?
3
What is the remainder when 198790 is divided by 1404?
826
What is the remainder when 19193315 is divided by 397?
350
Calculate the remainder when 48798 is divided by 944.
654
What is the remainder when 1974925 is divided by 151909?
108
Calculate the remainder when 1001242 is divided by 316.
154
What is the remainder when 130550 is divided by 1899?
1418
What is the remainder when 2204624 is divided by 703?
16
Calculate the remainder when 676113 is divided by 45074.
3
What is the remainder when 40124 is divided by 1072?
460
What is the remainder when 2765349 is divided by 22?
15
What is the remainder when 1117511 is divided by 203?
199
Calculate the remainder when 1500276 is divided by 1499875.
401
Calculate the remainder when 5264941 is divided by 69.
34
Calculate the remainder when 104907 is divided by 190.
27
What is the remainder when 113619 is divided by 1337?
1311
What is the remainder when 22290853 is divided by 602?
599
What is the remainder when 1403139 is divided by 495?
309
Calculate the remainder when 3036009 is divided by 178587.
30
What is the remainder when 30794390 is divided by 1026?
26
What is the remainder when 59394 is divided by 1611?
1398
Calculate the remainder when 2068523 is divided by 229816.
179
Calculate the remainder when 6925413 is divided by 3100.
13
Calculate the remainder when 16059698 is divided by 136.
2
Calculate the remainder when 27750127 is divided by 2981.
2979
What is the remainder when 2492618 is divided by 2160?
2138
What is the remainder when 2790 is divided by 37?
15
What is the remainder when 445110 is divided by 148305?
195
Calculate the remainder when 3214604 is divided by 123614.
640
What is the remainder when 1134216 is divided by 1134195?
21
Calculate the remainder when 9243286 is divided by 2310810.
46
What is the remainder when 839046 is divided by 171?
120
What is the remainder when 51539429 is divided by 14?
11
What is the remainder when 6509079 is divided by 3743?
2
Calculate the remainder when 115515 is divided by 19121.
789
Calculate the remainder when 4121186 is divided by 14210.
286
What is the remainder when 3661040 is divided by 366041?
630
What is the remainder when 58085761 is divided by 617933?
59
Calculate the remainder when 2036906 is divided by 16.
10
What is the remainder when 26388 is divided by 347?
16
What is the remainder when 5213 is divided by 5152?
61
What is the remainder when 84897580 is divided by 163?
8
What is the remainder when 270271457 is divided by 37?
36
Calculate the remainder when 198881 is divided by 66256.
113
What is the remainder when 17293552 is divided by 4493?
4488
What is the remainder when 26318595 is divided by 257?
253
Calculate the remainder when 2131899209 is divided by 1242.
1241
What is the remainder when 595770 is divided by 856?
850
What is the remainder when 2262123 is divided by 1131019?
85
What is the remainder when 180840 is divided by 4202?
154
Calculate the remainder when 162517 is divided by 544.
405
Calculate the remainder when 118149 is divided by 16613.
1858
Calculate the remainder when 56386 is divided by 1778.
1268
Calculate the remainder when 96227 is divided by 6008.
99
Calculate the remainder when 107707 is | {
"pile_set_name": "DM Mathematics"
} |
/(-22) - p/(-55). Let v = h + 8. Give i(v).
3
Let c(p) be the first derivative of 1/3*p**3 - 5 + p + 3/2*p**2. Give c(-2).
-1
Let c(n) = 7*n**3 - 11*n**2 - 7*n - 17. Let w(j) = 3*j**3 - 5*j**2 - 3*j - 8. Let f(u) = 4*c(u) - 9*w(u). Give f(-3).
-11
Suppose 5*u = 3*u - 2*w + 4, 0 = 2*u - 2*w. Let z(d) = 4*d**3 + 2*d**2 - d. Determine z(u).
5
Let p(a) = -2*a**3 + 3*a**2 - 12*a - 3. Let h(z) = z**3 - 4*z**2 + 11*z + 2. Let b(m) = -3*h(m) - 2*p(m). What is b(-7)?
14
Let b(d) be the second derivative of d**4/12 - d**3/3 + d**2 + 7*d. Give b(3).
5
Let l(h) = -5*h + 1. Let j be (16/(-6) + 3)*(2 + -5). Calculate l(j).
6
Let h(f) = 2*f**2 - 10*f - 2. Let m(a) = a**2 - 5*a - 1. Let o(c) = 2*h(c) - 5*m(c). Give o(3).
7
Suppose 5*x + h = -h - 5, 0 = x - 5*h - 26. Let m(i) = -i + 1. Let f be m(-1). Let s(l) = -10*l**f + l - 4 + 13*l**2 + 3. What is s(x)?
3
Let u(q) = 3*q - 1. Let y(k) = -k**3 - 2*k**2 - 10. Let s be y(-3). Calculate u(s).
-4
Let q(t) = -t**3 + t**2 + t + 5. Let x(o) = -o**3 + 3*o**2. Suppose 0*m = -3*m + 6. Let g be x(m). Suppose 4*r + 4 = -h - 12, -3*r = g*h + 12. Determine q(h).
5
Suppose 3 = -b + 8. Let g(y) = -2*y**2 - 4*y + 5. Let l be (-6)/(-3) - (0 - -5). Let s(a) = a**2 + 5*a - 4. Let t(p) = l*s(p) - 2*g(p). Determine t(b).
-8
Let j(b) = 2*b + 6. Let c(u) = u**3 + 6*u**2 + 3*u - 2. Let l be c(-5). Suppose 5 = 2*o - 7*o. Let k be ((-4)/l)/(o/(-8)). Determine j(k).
-2
Let d be (-8)/(-6) - (-8)/(-24). Let w(j) = -6*j**2 + 2*j - 1. What is w(d)?
-5
Let l be (-3)/((3 - 2)*-1). Suppose 2*g = -l*g + 25. Let m(n) = n**2 - 6*n + 5. Calculate m(g).
0
Let w be 0/(-7*4/(-14)). Let n(m) = 14*m**3 - 20*m**2 + 20*m - 14. Let h(i) = 5*i**3 - 7*i**2 + 7*i - 5. Let c(u) = 17*h(u) - 6*n(u). Give c(w).
-1
Let q(t) = t - 5. Let w be q(5). Let b(r) = r + 4. Calculate b(w).
4
Let k be (-72)/(-30)*(-20)/(-8). Let p(q) = q**3 - 6*q**2 - 3*q - 2. What is p(k)?
-20
Let k(d) = 2 + 11*d + 1 - 2 - 14*d. Calculate k(3).
-8
Let s(k) = -k + 1. Let q(p) = p + 1. Let x(w) = 2*w. Let u(c) = 3*q(c) - x(c). Let n(t) = -2*s(t) + u(t). Calculate n(3).
10
Let a(m) = 3 + 0*m**2 - m**2 + 0*m**2 + 6*m + 2*m**2. Calculate a(-6).
3
Let d(j) = j**3 + 2*j**2 - j + 4. Let h(r) = -4*r - 27. Let a be h(-6). Calculate d(a).
-2
Let z(q) = -2*q**2 - 5 - 2*q**2 + 0*q**2 + 5*q**2. Determine z(0).
-5
Let d(q) be the first derivative of 0*q - 1/20*q**5 - 4/3*q**3 - 1/12*q**4 + 0*q**2 - 4. Let p(c) be the third derivative of d(c). Calculate p(-2).
10
Let z = -1 - 1. Let g(n) = n**2 - 4*n. Let l(r) = -r**2 + 5*r - 1. Let f(j) = -3*g(j) - 2*l(j). Give f(z).
-6
Let z(d) = 7*d**2 - 2*d + 1. Let f(m) = -4*m. Let y be f(-1). Let h = y - 2. Suppose 2*b + 10 = 4*q, h*b + 0*q = -4*q + 14. Calculate z(b).
6
Let r(j) be the first derivative of j**2/2 - 2*j + 7. Calculate r(-6).
-8
Let z = 9 - 5. Let v be 2*(63/6)/7. Let x(b) = 3 - b - v - z*b. Determine x(-1).
5
Let y(s) = -3*s - 2. Let a = -16 - -11. Determine y(a).
13
Let d(s) = 4*s - 3*s - 1 + 3. Let c be (0 - -1)*(-6)/(-1). Suppose -4*l + 3*w = -14, -3*w - 11 = -l - c*w. Calculate d(l).
7
Let d(h) be the first derivative of 1/4*h**4 - 7/3*h**3 + 5/2*h**2 + 7*h - 3. Give d(6).
1
Let s(z) = z + 2. Let i = 2 + -1. Let y(l) = 4*l**2. Let g be y(i). Suppose -r = -g*c + 26, c = -4*r + 2*r - 7. Determine s(r).
-4
Let p(d) = 2*d + 1. Let f be (-1)/(-2) + 7/2. Give p(f).
9
Let l(g) = -3*g + 1. Let x(m) = -2*m + 1. Let a(v) = 3*l(v) - 4*x(v). Let i = 3 - -3. Give a(i).
-7
Suppose 5*i = -5*f - 5, -3*f = 5*i + 5 - 0. Let p = -1 + f. Let o(k) be the third derivative of k**6/30 + k**5/60 + k**4/24 + k**3/6 + 2*k**2. Calculate o(p).
-3
Let q(a) be the third derivative of -a**6/120 - a**5/12 + a**4/8 + 7*a**3/6 - 8*a**2. Give q(-5).
-8
Let k(n) be the third derivative of -n**6/120 + n**5/15 + 7*n**4/24 - 5*n**3/6 - 3*n**2. Let i = 15 + -10. Give k(i).
5
Let b be 4*-2*(-12)/16. Let i(n) = 6 - 5*n + 20*n**2 - 21*n**2 + 11*n. What is i(b)?
6
Let r(d) = d + 1. Let t(x) = -7 - 2*x + 8*x - 9*x. Let v(j) = 5*r(j) + t(j). What is v(3)?
4
Let s(j) = j**3 + 3*j**2 + 2. Let v(x) = x**3 - 10*x**2 + x - 13. Let t be v(10). Let m be s(t). Let f(y) = -y**2 + 4*y - 3. Determine f(m).
1
Let u(s) = -3*s + 3 + 98*s**2 - s - 99*s**2. Let w = 9 - 15. What is u(w)?
-9
Let a(z) = -z**2. Let b(s) = 3*s**2 + 6*s + 2. Let n(w) = 2*a(w) + b(w). Let f = 40 - 26. Let d be 4/f + 148/(-28). Give n(d).
-3
Let s = 2219/3540 + -36/59. Let b(u) be the third derivative of 0*u + s*u**5 + 0 + u**2 + 1/8*u**4 - 1/6*u**3. Calculate b(-4).
3
Let r(z) be the third derivative of z**4/4 + z**3/6 - z**2. Let x(d) = -d**3 + 11*d**2 - d + 12. Let f be x(11). What is r(f)?
7
Let d(l) be the second derivative of 1/2*l**2 + 4*l + 0 + 1/12*l**4 + 1/6*l**3. Give d(-2).
3
Let l(s) = -5*s - 1. Let g = 50 - 54. Give l(g).
19
Let c be (-4)/(-10) + (-51)/15. Let g = -5 + 7. Let h(q) = -5*q + g*q + 2*q + 3. Determine h(c).
6
Let q(i) = 2*i - 8. Let u(y) = -4*y - 1. Let n(m) = -3*m - 1. Let c(w) = 3*n(w) - 2*u(w). Suppose -5 = -0*z - 5*z. Let r(t) = z*q(t) + 3*c(t). Calculate r(-6).
-5
Suppose -3*b + g = 4*g + 3, g = -2. Let a(u) = -8*u**2 + 5*u - 1. Let f(v) = -9*v**2 + 6*v - 1. Let o(n) = 4*a(n) - 3*f(n). Determine o(b).
-4
Let c be ((-16)/(-6))/4*6. Let i(q) be the first derivative of -q**5/120 + q**4/24 + q**3 + 3. Let n(h) be the third derivative of i(h). Give n(c).
-3
Let d(o) = 33 + 3*o + 24 - 56 + o**3 + 4*o**2. Give d(-3).
1
Let t(d) be the third derivative of d**4/24 + d**3/3 + 33*d**2. Give t(-2).
0
Suppose 4*k - 3 = 1. Let f(z) = 3*z + k - 5 + 3. Determine f(-2).
-7
Let k(a) = -a**3 - 2*a + 3. Let t(l) = l**3 + l**2 - l + 1. Let q be t(1). Give k(q).
-9
Let t(h) be the first derivative of -1 - 2*h + 0*h + 3*h - 4*h**2. Let c(b) = b**2 + 8*b - 8. Let m be c(-9). Calculate t(m).
-7
Let u = 15 + -9. Let b = -1 + u. Let o(t) = -t + 1. Calculate o(b).
-4
Let z(d) = -3 - 5*d - 12*d**2 + 2 + 8*d**2 - d**3. Calculate z(-4).
19
Let p(m) = -3*m - 4 + 4*m + 2 - 1. Determine p(3).
0
Let x(s) be the second derivative of 1/2*s**3 + 0 - s**2 + 2*s. Calculate x(2).
4
Let i(y) = -y + 2. Let j(z) = -z - 7. Let v be j(-5). Let s be -2 - ((-2 - -19) + v). Let l(a) = 3*a - 6. Let n(w) = s*i(w) - 6*l(w). Give n(4).
-2
Let d(b) = -3*b**3 + 3*b**2 - 3*b. Suppose 23*z + 10 = 28*z. Calculate d(z).
-18
Suppose 0*v + 5 = -5*v + 4*x, 4*x = 0. Let o(f) = -2*f**3 + 2*f**2 - 1. Determine o(v).
3
Suppose -3*l + 9 = 3*a, 0 = 8*l - 3*l + 5. Let k(h) = 6 - 4*h + a - 9. Determine k(-1).
5
Let a(n) be the first derivative of n**2 - 4*n - 1. Suppose -2*k + 3*j = -6, 2*k - 2*j = -3 + 9. What is a(k)?
2
Let n(x) be the third derivative of -x**4/24 + x**3/3 + x**2. What is n(6)?
-4
Let u(l) = l**3 - 5*l**2 + 5*l - 2. Suppose 3*m + 1 = -4*w + 7, -w + 5*m = -13. Suppose 25 = -5*g, -2*q = 2*q + 3*g + w. Determine u(q).
-5
Suppose 4*k + 0 = 8. Let y be 1 + 0 + -1*k. Let w be (15 + -5)/((-2)/y). Let i(n) = n**3 - 5*n**2 + n - 2. Give i(w).
3
Let j = -3 + 2. Let v = j + 5. Suppose b = -x - 3, -5*x = -4*b - v + 1. Let s(l) = 5*l**2 - l. Give s(x).
6
Let k(b) = 5*b - 2. Let d(h) = 4*h - 1. Let o(n) = -6*d(n) + 4*k(n). Calculate o(-2).
6
Suppose -f + 3*q - 11 = 0, -4*q + 18 = -2*f - 0. Suppose 2*c + 6 - 8 = 0. Let x(p) = 3*p**2 - 4*p**2 + 1 - 6*p - c + 1. Calculate x(f).
6
Let i = -3 + 6. Let d(f) be the first derivative of 0*f**2 - 1 + f + 1/3*f**i. Determine d(0).
1
Let m be (2/(-4))/(2/24). Let d = -4 - m. Let z(x) = x**3 - 5*x**2 - 3*x + 2*x**d - 6 + 5. Determine z(4).
3
Let w(g) = -g**3 - 2*g**2 - 4*g - 2. Let h be (-28)/(-210) + (-32)/15. What is w(h)?
6
Let r(x) be the second derivative of 0 - 7*x - 3/2*x**2 + 1/6*x**3. What is r(4)?
1
Suppose 3*j - j = -18. Let b = -5 - j. Let n(s) be the first derivative of -s**2/2 + 2. Determine n(b).
-4
Suppose -o - 5*v + 2*v = 15, -25 = 3*o + 4*v. Let p(z) = z**2 + 4*z + 4. Give p(o).
1
Suppose -5*n = -1 - 9. Suppose 2*o = n*t - 8, 3 = -2*t - 2*o - 1. Let s(r) = -5*r**2. Give s(t).
-5
Let r(b) = -3*b**2 - 51*b + 4*b**2 + 6 + 46*b. Let x(w) = -1. Let t(n) = r(n) + 4*x(n). Calculate t(3).
-4
Let q be (-7)/(-2) - (-1)/(-2). Let z(c) be the second derivative of -c**2 - 4*c + 0 + 1/3*c**3. Give z(q).
4
Let k(f) be the first derivative of -f**2/2 + f - 12. Determine k(0).
1
Let z(x) = 9*x + 1. Let l be 5/((-20)/(-1 | {
"pile_set_name": "DM Mathematics"
} |
j = -1810 + 1825. Let z(n) = -n**2 - 1. Give j*z(h) - 5*l(h).
-15*h**2
Let w(s) = 3*s + 5. Suppose 10 = -2*c + c. Let t(k) = k**2 + 10*k + 4. Let g be t(c). Let l(r) = -r - 2. Give g*w(y) + 10*l(y).
2*y
Let c(l) = -13*l**3 + 4*l - 1. Let d(a) = -6*a**3 + 4*a + 9. Let o(k) = -k**3 + k + 3. Let v(b) = -d(b) + 3*o(b). Determine -2*c(h) - 9*v(h).
-h**3 + h + 2
Let q(h) = 23*h**3 + 2*h**2 - h - 12. Let m(y) = -34*y**3 - 3*y**2 + 2*y + 19. What is 5*m(v) + 8*q(v)?
14*v**3 + v**2 + 2*v - 1
Let v(i) = -i**2 + i + 67. Let j be v(-8). Let l(u) = u**3 - 5*u**2 + 4*u - 6. Let w(t) = t**3 - 6*t**2 + 5*t - 7. What is j*w(o) + 6*l(o)?
o**3 - o - 1
Let l be 3*(-2)/12*16/8. Let i(u) = -5*u**2. Let q(k) = k**2. Let n(h) = -h**3 + 5*h**2 - 4. Let z be n(5). Give l*i(s) + z*q(s).
s**2
Let j(c) = -696*c + 4. Let l(m) = 140*m - 1. Give -2*j(o) - 11*l(o).
-148*o + 3
Let p(c) = 6*c**2 - 3*c + 3. Let v(s) = -15*s**2 - 3*s**2 - 1 - 7 + 8*s. Give -8*p(n) - 3*v(n).
6*n**2
Let x(s) = -4*s**2 - 7*s + 8. Let d = 345 + -346. Let k = 4 + -10. Let j(f) = 0 - 1 + 4*f**2 + f - 3*f**2. Calculate d*x(v) + k*j(v).
-2*v**2 + v - 2
Let s(l) = -30*l**2 - 2. Let o(d) = -962*d**2 - 65. What is -4*o(c) + 130*s(c)?
-52*c**2
Let z(n) = n**2 + 4*n + 1. Let y(f) = f + 6. Let k be y(5). Suppose -6 = -k*s + 10*s. Let m(h) = -5*h + 2*h - 9*h**2 + 8*h**2 - 1. What is s*m(t) + 5*z(t)?
-t**2 + 2*t - 1
Suppose -4*q + 0 = -8. Let x(m) = 2*m - 3*m + 4*m - q*m + 1. Let o(f) = 3*f + 2. Give o(c) - 2*x(c).
c
Let y be -9 + 7 + 2/(-2) + 5. Let m(g) = 13*g**2 + 3*g. Suppose 2*i = i + 4*k + 1, 0 = i - k - 7. Let q(p) = -3*p**2 - p. Determine i*q(b) + y*m(b).
-b**2 - 3*b
Let j(f) = 29 - 5*f + 8 + 7*f. Let s be j(-14). Let l(i) = 5*i - 7. Let o(k) = -2*k + 3. Calculate s*o(m) + 4*l(m).
2*m - 1
Suppose -7*i - 60 = 3. Let x(u) be the first derivative of 2*u**3/3 - 2*u + 4. Let w(d) = -d**3 + 9*d**2 - 9. What is i*x(m) + 2*w(m)?
-2*m**3
Suppose -3*y - 126 = 18*y. Let o(n) = -16*n**3 + 7*n + 6. Let q(g) = -16*g**3 + 6*g + 5. Calculate y*q(z) + 5*o(z).
16*z**3 - z
Let m(y) = -2*y**2 + y + 2. Let b(s) = -11*s**2 + 153*s + 10. Give b(r) - 5*m(r).
-r**2 + 148*r
Let t(j) = -7*j + 1. Let r(x) = -16*x + 3. What is -4*r(g) + 10*t(g)?
-6*g - 2
Let i(q) = 2*q. Let x(z) = -3*z. Suppose -6*y = 2*y. Suppose y = -4*v - v - 35. Calculate v*i(l) - 5*x(l).
l
Let d = -77 + 37. Let q = d + 41. Let l(v) = 3*v. Let x be l(2). Let o(g) = 5*g. Let h(z) = -z. Calculate q*o(u) + x*h(u).
-u
Let n(j) = 5*j**2 - 6*j + 3. Let q(t) be the third derivative of t**4/24 - 194*t**2. Calculate n(o) + 6*q(o).
5*o**2 + 3
Let r(f) = f**3 - 5*f**2 + 5*f + 1. Let c(s) = s**3 - 7*s**2 + 7*s + 2. Let q(v) = 8*v + 7. Let y be q(0). What is y*r(t) - 5*c(t)?
2*t**3 - 3
Let y(d) = 106*d**3 - 10*d**2 - d. Let g(w) = -104*w**3 + 8*w**2 + w. Determine -5*g(l) - 4*y(l).
96*l**3 - l
Let m = 0 - -3. Let h(g) = -g**3 - 2*g**2 + g + 2. Let r be h(-1). Let v(f) = -4 + 4 + r - m. Let k(t) = t + 5. Determine 3*k(q) + 5*v(q).
3*q
Let h(b) = 2*b**2 + 5*b + 0*b - b**2 + 5. Let z be (1 + -1)/(3/(-3)) + -4. Let t be h(z). Let a(y) = 2*y**3 + y. Let r(q) = -q. Calculate t*a(k) + 3*r(k).
2*k**3 - 2*k
Let i(c) = -13*c + 1. Let m(b) = 7*b - 1. Let a(o) = -24*o**2 - o**3 + 2*o**3 + 19*o**2 - 5*o. Let q be a(6). Give q*i(p) + 11*m(p).
-p - 5
Let b(c) = -6*c**2 - 4*c + 1. Let w(m) = 17*m**2 + 11*m - 3. Let r(g) = -11*b(g) - 4*w(g). Let t(v) = -2*v**2. Let f = -15 + 13. Give f*t(y) + 3*r(y).
-2*y**2 + 3
Let o(n) = -n**2 - 5*n + 8. Let i(p) = -2*p**2 - 9*p + 17. Give -3*i(d) + 5*o(d).
d**2 + 2*d - 11
Let x(y) = 8*y**2 - y - 1. Let q(i) = -9*i**2 + 2*i + 2. Calculate 2*q(l) + 3*x(l).
6*l**2 + l + 1
Let w(j) = -5*j**3 + 4*j**2 + 3. Let p(m) = 11*m**3 - 9*m**2 + m - 7. Calculate 2*p(a) + 5*w(a).
-3*a**3 + 2*a**2 + 2*a + 1
Let p(n) = 7*n**2 + 5*n. Let c(u) = -u**3 + 25*u**2 - 22*u - 43. Let z be c(24). Let s(j) = -10*j**2 - 7*j. Calculate z*s(m) + 7*p(m).
-m**2
Let d(t) = -155*t**2 + 45*t. Let q = -252 - -250. Let z(l) = 7*l**2 - 2*l. Let a(m) = -m**2 + 6*m - 18. Let o be a(9). What is o*z(b) + q*d(b)?
-5*b**2
Let m(s) = -2*s - 5. Let v(t) = 3*t + 6. Suppose -p - 10 = 6*b - 3*b, 0 = -2*b + 5*p - 35. Give b*m(a) - 4*v(a).
-2*a + 1
Let m(f) = -11*f**2 - 24. Let l(s) = 4*s**2 + 8. Determine -8*l(c) - 3*m(c).
c**2 + 8
Let s(x) = -5*x**2 - 29*x - 2. Let o(k) = 7*k**2 + 29*k + 3. Calculate -4*o(y) - 6*s(y).
2*y**2 + 58*y
Let j(q) = 9*q**2 + 2*q. Let o = 687 - 685. Let b(m) = m**2 - m. What is o*b(w) + j(w)?
11*w**2
Let o(h) = 19*h - 1. Let y(z) = 15*z - 42. Let q(v) = -23*v + 59. Let j(r) = -5*q(r) - 7*y(r). Calculate -5*j(m) + 3*o(m).
7*m + 2
Let q(s) = 17*s**3 + 2*s. Let k(n) = 4*n**2 + 6*n - 17. Let w be k(2). Let u(p) = -85*p**3 - 11*p. Give w*q(b) + 2*u(b).
17*b**3
Let j(i) = 15*i**2 - 6. Let y(m) = 30*m**2 - 14. Calculate 9*j(z) - 4*y(z).
15*z**2 + 2
Let s(b) be the second derivative of b**4/3 - b**3 - 7*b**2/2 + 49*b. Let j(w) = -2*w**2 + 3*w + 4. What is -7*j(h) - 4*s(h)?
-2*h**2 + 3*h
Let m(b) = -33326*b + 2584. Let q(f) = -155*f + 12. Determine -6*m(c) + 1292*q(c).
-304*c
Let f(h) = -4*h**3 + 4*h**2 + 5*h + 2. Let b(t) = 2*t**3 - 2*t**2 - 3*t - 1. Suppose -30 = 19*g - 87. Calculate g*f(q) + 5*b(q).
-2*q**3 + 2*q**2 + 1
Suppose -4*y - 12 = -5*c, 2*c - 6 = 3*y - c. Let z(a) = 2*a**2 + 5 + 3*a**2 - y*a**2 + 8*a**2. Let w(x) = -39*x**2 - 18. Calculate -5*w(p) - 18*z(p).
-3*p**2
Let h(a) = a**2 - a - 3. Let j be (-1)/((10/35)/((-6)/(-7))). Let p(b) = -b**2 + b + 4. What is j*h(c) - 2*p(c)?
-c**2 + c + 1
Let d(x) = 7*x - 58. Let c(k) = -13*k + 116. Calculate -6*c(f) - 11*d(f).
f - 58
Let n(c) = -717*c**2 - 8*c + 2. Let l(t) = -358*t**2 - 3*t + 1. Determine 5*l(y) - 2*n(y).
-356*y**2 + y + 1
Let f(v) = 10*v + 9. Let t(u) = 1. What is -f(l) - 4*t(l)?
-10*l - 13
Let i(v) = 4*v**2 + 11*v + 17. Let s(l) = -l**2 - 4*l - 6. Let h be (-40 - -6)*(-4)/(-8). Calculate h*s(p) - 6*i(p).
-7*p**2 + 2*p
Let j(p) = -5. Let q(n) = n + 11. Let o(r) = -r + 1. Let b be o(-7). Suppose b*w + 10 = 3*w + 4*v, -5 = -v. Determine w*q(g) + 5*j(g).
2*g - 3
Let f(a) = -17*a + 1. Let m(q) = 84*q - 4. Give 16*f(y) + 3*m(y).
-20*y + 4
Let f(x) = x - 1. Suppose 3*b - 5*c = -10, -3*c + 7 = -2*b + 2. Let h(o) = -3*o + 5. Let j = 100 - 99. What is b*f(u) + j*h(u)?
2*u
Let j(n) be the third derivative of -3*n**5/20 + n**4/4 - n**3/6 - 86*n**2. Let c(l) = -l**2 + l. Give 6*c(t) - j(t).
3*t**2 + 1
Let f(z) = 26*z + 2. Let x(i) = i - 1. Determine 2*f(p) + 6*x(p).
58*p - 2
Let p(y) = 4*y**3 + 5*y - 5. Let k(f) = -5*f**3 - 6*f + 6. Suppose 0 = 3*o - 10 + 37. Let v = -6 - o. Suppose v*t - 15 = -0. Determine t*k(l) + 6*p(l).
-l**3
Let y(s) = 10*s**3 - 14*s**2 + 4*s + 5. Let q(o) = -11*o**3 + 16*o**2 - 5*o - 6. Determine 5*q(g) + 6*y(g).
5*g**3 - 4*g**2 - g
Let j = 45 - 45. Let w(u) = j - 7 + 6 - 1. Let g(f) = -f - 5. Calculate -2*g(t) + 5*w(t).
2*t
Let w(m) = -13*m**2 - 7*m + 13. Let z(h) = -7*h**2 - 4*h + 7. Let p = -12 - -6. Let r(x) = x**3 - 10*x**2 + 14*x - 34. Let l be r(9). Determine l*z(d) + p*w(d).
d**2 - 2*d - 1
Let d(c) = 5*c**2 - 4. Suppose 0 = -30*a + 175 - 55. Let u(x) = -9*x**2 + 7. What is a*u(q) + 7*d(q)?
-q**2
Suppose 8383 = -12*k + 8347. Let u(j) = -3*j**2 + 0*j**2 + 4*j**3 - 3*j**3 - j. Let d(p) = p**3 - 4*p**2 - p. Give k*u(h) + 2*d(h).
-h**3 + h**2 + h
Let x(j) = 2*j**2 - 6*j + 8. Let q(f) = 4*f**2 - 11*f + 16. Calculate 6*q(o) - 11*x(o).
2*o**2 + 8
Let v(j) = -6*j**2 - 13*j + 2. Let w(g) = g**3 - 32*g**2 - 65*g + 11. What is -11*v(n) + 2*w(n)?
2*n**3 + 2*n**2 + 13*n
Let q(m) = -4*m**2 - 7*m - 1. Suppose -137*v = -142*v - 15. Let c(r) = -2*r**2 - 4*r - 1. Determine v*q(f) + 5*c(f).
2*f**2 + f - 2
Let y(o) = o**2 - 7*o - 48. Let p be y(-4). Let u(x) = -x - 4. Let i(m) = 4. Let z(a) = -1. Let t(w) = i(w) + 5*z(w). Give p*t(l) + u(l).
-l
Let z(d) = 157*d**2 + 11*d + 5. Let q(k) = 78*k**2 + 6*k + 3. What is 11*q(s) - 6*z(s)?
-84*s**2 + 3
Let b(s) = 5*s + 3. Let n be (-2)/26 - 2193/559. Let l(g) = g + 1. Give n*l(i) + b(i).
i - 1
Let h(q) = 2*q**3 + 5*q**2 - 16*q - 5. Let b(o) = -2*o**2 + o + 1. Give 4*b(i) + h(i).
2*i**3 - 3*i**2 - 12*i - 1
Let o(k) = 11*k**2 - 6. Let n(s) = -120*s**2 + 7*s + 65. Let l(b) = -120*b**2 + 6*b + 65. Let p(y) = -7*l(y) + 6*n(y). Determine -65*o(g) + 6*p(g).
5*g**2
Let d(c) = c + 4. | {
"pile_set_name": "DM Mathematics"
} |
e y(-4). Solve 5*z + 9 = h for z.
3
Let g = -48 + 48. Solve g = 7*l - 3*l for l.
0
Let u = -2 - -9. Suppose 4*j = -g + u, 2*j - 6 = g + g. Solve -h + 3*h + j = 0 for h.
-1
Suppose 4*z = -2*o + 22, 2*z + 2*z + 5*o = 25. Solve -4 = z*f - 19 for f.
3
Suppose -2*a = -18 - 14. Let u = -11 + a. Suppose 0*y = u*y. Solve y = h + 4 for h.
-4
Let z be 6/(-9) + (-10)/(-15). Solve z = 3*j - j + 8 for j.
-4
Let s = -9 - -9. Solve s*n + 4*n = -16 for n.
-4
Suppose 0*u + 7 = u. Let x(z) = -z**3 + 7*z**2 + 4. Let s be x(u). Suppose 5*a + 0*a = 40. Solve 0*t = -s*t - a for t.
-2
Let n = 60 + -54. Solve -5*q = -14 - n for q.
4
Suppose -3*c + 4*z = -5, -14*c + 15*c - 5 = -2*z. Solve j = c*j for j.
0
Let r be (-96)/4*(-1)/3. Suppose -3*q = -7*q - r. Let n be (-2 - q)/(3 - 2). Solve n = 2*z + 3 - 1 for z.
-1
Let m = 15 + -10. Suppose m*u + 5*q - 65 = 0, 3 = 2*q - 7. Solve -5*x - 2 = u for x.
-2
Let s(a) = a**2 + 5*a - 4. Let f = 5 - 0. Let i(q) = -q**2 + 5*q - 6. Let w be i(f). Let y be s(w). Solve 8 = -y*h + 2 for h.
-3
Let d = -5 - -5. Suppose d = 4*k - k - 45. Let r = -11 + k. Solve -r*i + 3 = -1 for i.
1
Let d = 3 + 3. Let o = 0 + d. Solve -20 = o*w - w for w.
-4
Let a(z) = z. Let v be a(6). Let s = v - 6. Solve s = -0*p - 5*p - 25 for p.
-5
Suppose 40 = -0*c + 4*c. Let m(l) = -7*l. Let b(p) = 6*p - 1. Let v(r) = -6*b(r) - 5*m(r). Let q be v(6). Solve q = 5*d + 10 + c for d.
-4
Let z = 0 - -1. Let j = 1 + z. Solve j*i = 1 + 3 for i.
2
Let v be (-1 - 1)/((-18)/(-3))*-15. Solve 5*k - v = 15 for k.
4
Let p = 86 - 81. Solve 0 = 8*h - p*h for h.
0
Let q = 76 - 144. Let g be (-3)/(-4) + q/(-16). Solve 0 = -g*d - 5 for d.
-1
Let g(k) = k**3 + 2. Let q be g(0). Let w(h) = -h**2 + 12*h - 29. Let p be w(8). Solve p*l - 13 = q for l.
5
Let t be 30/(-4)*(-6)/9. Solve -4*g = t - 1 for g.
-1
Let r = 7 + 7. Let p = -11 + r. Solve -15 = -0*n + p*n for n.
-5
Let p = 3 + -5. Let o = p - -5. Solve -5*z + 7 = -o for z.
2
Let j = 41 + -39. Solve j*q + 8 = -0 for q.
-4
Let q be 30/(-12)*-2 - -1. Solve 3*c - q = 5*c for c.
-3
Let r be ((3 - 4) + 1)/(-2). Solve r = -4*j + 20 for j.
5
Let k(n) = -n**2 + 5 + 0 - 3*n + 0*n**2 - 1. Let z be k(-4). Solve z = -2*o + 4 + 2 for o.
3
Suppose -4*f + 3 + 29 = 0. Solve 8*u = 12*u - f for u.
2
Let o be -6 + 0 + 1/1. Let s(a) = a**3 + 6*a**2 + 2*a - 4. Let t be s(o). Solve -2*k - t + 3 = 0 for k.
-4
Suppose 0 = -2*o + 2*u + 10, 0 = o + 3*u + 5 + 6. Solve -s + 0 = o for s.
-1
Let r = 3 - 2. Suppose -h - r + 4 = 0. Let t be 8 - (2 - (2 + -2)). Solve -h*y = -y - t for y.
3
Let x be 133/21 - 2/6. Let i(v) = v + 8. Let b be i(-5). Solve -b*z + x = -z for z.
3
Let m(o) = -14*o**2 - 3*o. Let x(i) = -5*i**2 - i. Let b(u) = 6*m(u) - 17*x(u). Let v be b(5). Let n = 21 + -18. Solve -2*w - v = n*w for w.
-4
Let l = 7 + -3. Solve -10 - 2 = l*v for v.
-3
Let m be 4 + -3 + 0 + 14. Solve -6 + m = -3*f for f.
-3
Suppose -5*m + 0*m + 25 = 0. Suppose q = -3*q. Solve q = -10*g + m*g - 25 for g.
-5
Let d(f) = f. Let b be d(-2). Let a = b + 5. Let k(s) = -s**2 + 2*s + 3. Let p be k(a). Solve -x - x = p for x.
0
Suppose 5*q - 5*x = 40, -4*x = -q + 1 + 16. Suppose -q*a + 2*r + 31 = 0, a - r - 5 = 3. Suppose 5*t = o + 3*t - 9, 4*o - 27 = a*t. Solve 0 = d + 1 + o for d.
-4
Let q be 3/(9/12) - -1. Suppose p = -q*w - 13, -4*p - 4 = -4*w - 0. Let r be 25/4 + p/12. Solve -r*k - 8 = -4*k for k.
-4
Let o be 0 - (1 - 0)*-4. Suppose 4*c = o*p - 4, -6*c - 4*p = -2*c - 36. Suppose 2*g - 2 - 8 = -4*x, 5*g = -c*x + 19. Solve -8 + g = -u for u.
5
Let w(p) be the third derivative of 1/6*p**3 + 0*p - p**2 + 0 + 1/24*p**4. Let u be w(3). Solve d + 1 = u for d.
3
Let y(u) = -u - 6. Let o be y(-10). Suppose 0*p = o*p - 28. Solve -p + 1 = 3*n for n.
-2
Suppose -h + 1 = -1. Let n(u) = u + 7. Let t be n(-2). Solve -h = t*i - 7 for i.
1
Let x(y) = y**3 - 8*y**2 + 8*y - 5. Suppose 3*v + 0*s = -3*s + 6, 3*v - 1 = -4*s. Let l be x(v). Solve 5*w = l*w - 3 for w.
-1
Let w be 3/((-12)/8) + 6. Solve -4*l = -0*l - w for l.
1
Suppose 2*h + o = 14, -5*o - 6 = 5*h - 41. Let t = 13 - h. Suppose l = 3*d + 19, -l + t*l - 3*d - 59 = 0. Solve m + m = l for m.
5
Suppose -2 - 1 = -b. Let z = 5 - 1. Suppose -z*s + s = -12. Solve b*p - 2*p = s for p.
4
Let q = -4 + 9. Suppose 5 = -3*c + 5*v, -c + 0 = 3*v - 3. Solve 5*b + q + 15 = c for b.
-4
Suppose -2*r + 5*h - 10 = 0, 2*r = 4*r - h + 10. Let j be r/(5/(-2))*1. Let y be (-1)/((-2)/(-2)) + 2. Solve j*p + 3 = -y for p.
-2
Suppose -2*j = 5*d + 7 - 2, 28 = 3*d - 5*j. Let m be d*(-1 + (-27)/(-3)). Solve 0 = -4*y + m for y.
2
Let h(y) = 5*y - 5. Let f be h(4). Let i be 2/(-5) - (-6)/f. Suppose i = -0*k + 4*k. Solve l - 3*l - 4 = k for l.
-2
Let u(r) = r**3 - 11*r**2 + 11*r - 4. Let p be u(10). Let q be p + (-1)/(2/6). Solve 3 - 18 = -q*s for s.
5
Let i be 0 - (2 - 4) - -2. Suppose -2*u + 20 = 3*g, -u = -g - 3*u + i. Let k be (-3)/(3*(-2)/g). Solve k*x + 10 = -2 for x.
-3
Let z(k) = 2*k**2 + 2*k - 2. Suppose -4*a + 3*a = 2. Let h be z(a). Solve 4*b - 18 = h for b.
5
Let u be (1 - 14/6)*-9. Solve x - u = -2*x for x.
4
Suppose -p = 2*p - 12. Let o be -2 + -1 + p + 1. Solve 4*h + o - 10 = 0 for h.
2
Let p be 1 + 3 + (2 - 3). Solve 1 + 5 = -p*r for r.
-2
Suppose 3 = 3*i - 6. Suppose -4*b = -i*b - 4. Solve 0 = b*x - 5*x + 3 for x.
3
Suppose 0*b - 4*b = -16. Suppose -24 = -8*j + b*j. Solve j + 2 = -4*s for s.
-2
Let f be (-2)/4*(-18 - -2). Solve -f = -5*d - 33 for d.
-5
Let z = -11 - -20. Let f be (-2)/(-4)*-3*-2. Solve f*a - 3 = z for a.
4
Let v = -22 + 24. Solve v*t = 4*t - 8 for t.
4
Let s be 12 - (-1 + (-12)/(-3)). Let z be (s/(-6))/((-12)/40). Solve -4*f + z = f for f.
1
Suppose 13 = 3*g + h, -2*h - h - 9 = g. Suppose 0 = -4*q + 6 + g. Solve -q*s = s - 20 for s.
5
Suppose p + 3*t = 1, 0 = -4*p - 0*t - 4*t + 12. Solve 0 = -p*k + 3*k - 2 for k.
-2
Suppose 0 = -4*y + 3 - 27. Let p = y + 11. Solve p*z + 5 = -0*z for z.
-1
Let b = -7 + 5. Let y be b + 1 + (-24)/(-4). Let d = 5 - y. Solve d*r - 8 = 2*r for r.
-4
Let k(p) = -p**2 - 13*p - 6. Let m(t) = -t**2 - 14*t - 6. Let g(o) = 6*k(o) - 5*m(o). Let l be g(-6). Solve 0 = w - l*w - 25 for w.
-5
Let p(n) = -n**2 + 6*n + 5. Let i be p(6). Let z(d) be the third derivative of 29*d**4/24 + d**3/6 - 3*d**2. Let v be z(1). Solve -i*q = v - 5 for q.
-5
Suppose q - d = 6, -8 = -2*q - 0*q + d. Suppose -q = 5*z - 22. Solve -z*g + 6 = -14 for g.
5
Suppose 4*t + 4*g = -0*t - 20, 0 = -4*g - 20. Solve -3*f - 4 - 2 = t for f.
-2
Suppose 5*o - y = -4, -5*o - y = -6*y + 20. Solve o = -2*v - 4 for v.
-2
Let s = 6 + -2. Solve 0 = -s*l + 3*l - 3 for l.
-3
Let t be (64/(-36))/(-8) - (-21)/27. Solve -g - t = -0 for g.
-1
Suppose 116*k = 115*k. Let c be (-1 - -23 - 2) + -2. Let h = c - 13. Solve -3*o + h - 20 = k for o.
-5
Let k(y) = -y**2 + 6*y - 2. Let f be k(3). Solve -f*q = -8*q - 2 for q.
-2
Suppose 5*y + 1 = -4*x + 12, y = -3*x. Suppose -7 = -y*o - 22. Let h(u) = -u + 5. Let d be h(o). Solve -4*w = w - d for w.
2
Let o = 1 - 11. Suppose 4*c = 3*q + 44, 5*q - 4*q = 4. Let f = o + c. Solve 0*h + h + f = 0 for h.
-4
Suppose -2*g + 2 = 4*r, -5*r + 3*g - 6 = -3. Solve 0 = 5*i - r*i - 5 for i.
1
Suppose 4*r + 5*d - 10 = -r, -3*d = -4*r + 15. Let j be (-5)/(-15)*6 - 0. Solve r*z - 2*z - j = 0 for z.
2
Let d = 22 - 11. Let j = 16 - d. Let u = -1 + 1. Solve -2*c + j + 3 = u for c.
4
Let c(t) = -t**2 - 4*t - 3. Let b be c(-2). Solve 5*o + b = 6 for o.
1
Let d(w) = w**2 + 4. Suppose 3*k - 15 = h, -7 - 18 = -5*h - 5*k. Let y be d(h). Solve 0*p + p = y for p.
4
Let r be (-2 + 1)/(1/(-4)). Solve -r*v = -0*v for v.
0
Let u(f) = -f**2 + 7*f + 6. Suppose 23 - 5 = 3*j. Let s be u(j). Solve 0 = 3*y + s for y.
-4
Suppose 0 = 2*q + 2*q - 4*m - 8, 0 = -q + 4*m - 4. Suppose -2*j - q*t - 8 = 0, -2*j = -4*t + 1 - 17. Let h be j/6*(19 + 5). Solve -i = i + h for i.
-4
Suppose -2 = -2*b - 6. Let m be (b/(-8))/(2/16). Solve 4 = -2*t + m for t.
-1
Let l(u) = -u**2 + 7*u - 4. Let i be l(6). Suppose 2*z = -i*z + 24. Solve -z*t = -3*t + 15 for t.
-5
Let w = -6 + 16. Suppose 2*t + 3*t = 20. Suppose 0 = t*k - 3*k. Solve 2*d = -k*d - w for d.
-5
Suppose 5*b - 85 = 2*z, -3*z - 51 = -b - 2*b. Solve -b = 2*l - 7 for l.
-5
Let a be -1 + -3*(-16)/6. Suppose 2*s + 20 = a*s. Solve 1 = -s*z + 13 for z.
3
Let j be (-2 - -4 - 1)*5. Suppose 21 = j*m + 2*n, 4*n - 15 = -m - 0*m. Let t = | {
"pile_set_name": "DM Mathematics"
} |
t**2 - t - 2
Let i(w) = -11*w**2 + 65. Let p(c) = 4*c**2 - 22. Give 3*i(n) + 8*p(n).
-n**2 + 19
Let t be (-9)/(-3) + 2 + 0. Let q(z) = 13*z + t*z**2 - 1 - 3*z - 5*z. Let c(u) = 9*u**2 + 9*u - 2. What is 3*c(g) - 5*q(g)?
2*g**2 + 2*g - 1
Let n(j) = -95*j + 65. Let w(k) = -3*k + 2. Determine -6*n(m) + 195*w(m).
-15*m
Let a(n) = 18*n**3 + 12*n**2 - 12*n. Let f(r) = 7*r**3 + 5*r**2 - 5*r. Determine -5*a(w) + 12*f(w).
-6*w**3
Let i(d) = -22*d**2 + 5*d + 4. Let z(j) = -43*j**2 + 9*j + 7. What is -7*i(v) + 4*z(v)?
-18*v**2 + v
Let h(q) = q**2 + 1. Let n(v) = 14*v**3 - 7*v**2 - 7. Determine 7*h(x) + n(x).
14*x**3
Let l = 17 + -11. Let m(o) = 13*o**3 - 11*o**2 - 11*o - 11. Let n(y) = -7*y**3 + 6*y**2 + 6*y + 6. What is l*m(x) + 11*n(x)?
x**3
Let n(c) = -3*c**2 - 2*c - 4. Let o(x) = x**3 + x**2 + x + 1. Calculate n(g) + 4*o(g).
4*g**3 + g**2 + 2*g
Let p(u) = -4*u**2 - 2*u - 2. Suppose 4*q = -1 + 9. Let y(r) = -r**2 + r + 0*r**q + 2*r**2. Calculate p(v) + 2*y(v).
-2*v**2 - 2
Let u(m) = -2*m**3 + 5*m - 5. Let b(k) = -4*k**3 + 9*k - 9. What is -4*b(j) + 7*u(j)?
2*j**3 - j + 1
Let u(z) = z**2 - 1. Let i(b) be the third derivative of b**6/120 - b**5/30 - b**4/24 + b**3/3 - 30*b**2. What is i(j) + 2*u(j)?
j**3 - j
Let s(b) = -29*b**2 - b - 9. Let k(q) = -7*q**2 - 2. Calculate -9*k(r) + 2*s(r).
5*r**2 - 2*r
Let d(f) = -4*f**3 - 3*f**3 - 2*f**2 - 2*f - 4*f**3 - 5*f. Let r(p) = 5*p**3 + p**2 + 3*p. Calculate 3*d(k) + 7*r(k).
2*k**3 + k**2
Let l(n) = 4*n**3 - 6*n**2 - 1. Let w(y) = 2*y**3 - 3*y**2. Determine -3*l(b) + 7*w(b).
2*b**3 - 3*b**2 + 3
Let f(p) = p**2 + p + 1. Let z(l) = -l**3 + 2*l**2 + 2. Let r be (2 - -4)*(-1)/(-3). Suppose -g - r + 3 = 0. Give g*z(t) - 2*f(t).
-t**3 - 2*t
Let l(x) = 11*x**2 - 9*x + 13. Let z(q) = -6*q**2 + 5*q - 7. Let j(n) = -3*l(n) - 5*z(n). Let g(d) = 10*d**2 - 7*d + 13. Give 2*g(r) + 7*j(r).
-r**2 - 2
Let o(k) = 7*k**2 + 0 - k + 2 + 3*k - 2*k**3. Let j(a) = 2*a**3 - 6*a**2 - 2*a - 2. Calculate 7*j(q) + 6*o(q).
2*q**3 - 2*q - 2
Let n(a) = 9*a + 7. Let p be n(-7). Let v be (-5)/(-2)*p/(-20). Let k(o) = 8*o - 4. Let l(u) = -9*u + 5. What is v*k(d) + 6*l(d)?
2*d + 2
Let h be ((-5)/(-2))/(5/3). Let g(d) be the second derivative of -h*d**2 + 0 + d + 0*d**3 - 1/6*d**4. Let s(f) = 3*f**2 + 4. Determine -4*g(j) - 3*s(j).
-j**2
Let y(r) = -r**3 - 3*r**2 + 15*r. Let z(u) = -2*u**3 - 5*u**2 + 30*u. Give -5*y(n) + 3*z(n).
-n**3 + 15*n
Let a(x) = x**2 - 5*x - 3. Let u be a(6). Suppose k - u*k = 0. Let q(l) = 1 - l + k*l + 3*l + 4*l**3. Let z(h) = -h**3 - 1. Give -q(s) - 2*z(s).
-2*s**3 - 2*s + 1
Let j(k) = -7*k. Let u(r) be the second derivative of 32*r**3/3 - 9*r. What is -28*j(p) - 3*u(p)?
4*p
Let r(z) = -5*z + 4. Suppose -5*w + 30 = 4*b, 4*b + 4 = -2*w + 28. Let n(o) = o - 1. What is w*n(s) + r(s)?
-3*s + 2
Let l(a) = 4*a**3 + a**2 - 2. Let y(w) = -21*w**3 - 5*w**2 + w + 11. Let v(i) = -i + 5. Let d be v(7). What is d*y(t) - 11*l(t)?
-2*t**3 - t**2 - 2*t
Let o(y) = -2*y + 5. Let h(f) = 3*f - 10. What is -3*h(w) - 5*o(w)?
w + 5
Let t(z) be the third derivative of -z**4/12 + z**3/2 + 2*z**2. Let r(h) = 2*h - 2. What is -5*r(v) - 4*t(v)?
-2*v - 2
Let n = -20 - -22. Let l(i) be the first derivative of 1 - 11/2*i**n + 11*i + 0*i**3 - 3/2*i**4. Let f(j) = -2*j**3 - 4*j + 4. Calculate 11*f(c) - 4*l(c).
2*c**3
Let v(a) = a. Let m(d) = 2*d**2 - 4*d - 2. Let i be -3 - 6/(-1) - 9. Let l be (-2)/4 + 3/i. Give l*m(j) - 5*v(j).
-2*j**2 - j + 2
Let v(a) = 8*a. Let f(b) = 7*b. Let s(n) = 4*f(n) - 6*v(n). Let r(p) = -4*p. What is 16*r(o) - 3*s(o)?
-4*o
Let n(a) = -a. Suppose 5 - 6 = -s. Let t(l) = 4*l - 2. Give s*t(m) + 6*n(m).
-2*m - 2
Let r(p) = 2*p**2 - 2*p + 5. Let d(q) = q - 1. Let x(s) = 6*s**2 - 8*s + 16. Let b(m) = -2*d(m) - x(m). Give 5*b(w) + 14*r(w).
-2*w**2 + 2*w
Let p(z) = z + 5. Let d(t) = -t. Give 6*d(x) - p(x).
-7*x - 5
Suppose 27 = 4*f - 9. Let c(l) = -2*l**2 - 4. Let s = -4 - -9. Let n(x) = -14 + 3 + 2 - s*x**2. Calculate f*c(d) - 4*n(d).
2*d**2
Let x(v) = -17*v**3 - 5*v - 5. Let a(o) = -17*o**3 - 4*o - 4. Calculate -5*a(b) + 4*x(b).
17*b**3
Suppose 5*a - 4 = g, -2*g = -4*a + 3*a - 1. Let p(x) = x - 1. Let w(m) = 3*m - 4. Give g*w(h) - p(h).
2*h - 3
Let j be (10/(-4))/((-2)/4). Suppose -m + j*i + 25 = 4*m, 4*m + 5*i = -16. Let v(w) = 0 + w - 4*w + m. Let k(b) = b. Give -5*k(x) - v(x).
-2*x - 1
Let t(z) = -4. Let p(q) = -q - 1. Let u(a) = -2*p(a) + t(a). Let r(s) = s. Let l(v) = -10*v + 1. Let w(o) = -2*l(o) - 18*r(o). Calculate 4*u(d) - 3*w(d).
2*d - 2
Let j(r) = r**3 + 5*r**2. Let w be 1 - -3*8/(-30)*-5. Let z(n) = 2*n**2. Give w*z(i) - 2*j(i).
-2*i**3
Let v(q) = 5*q**3 - 3*q**2 - 2. Let b(k) = -5*k**3 + 2*k**2 + 2. What is 4*b(d) + 3*v(d)?
-5*d**3 - d**2 + 2
Let w(m) = -7*m**3 + 5*m + 3*m**2 + 1 - 5*m**2 + 9*m**2 + 3. Let b(i) = 10*i**3 - 10*i**2 - 7*i - 6. Suppose 2*g = -0*g - 10. Calculate g*b(s) - 7*w(s).
-s**3 + s**2 + 2
Let d(n) = n**3 - 18*n**2 - n + 24. Let i be d(18). Let q(c) = -7*c**2 - 5*c + 6. Let k(w) = -13*w**2 - 9*w + 11. What is i*k(z) - 11*q(z)?
-z**2 + z
Suppose 0 = -3*q + 34 - 13. Let h(c) = c**2 - 4*c + 13. Let b(i) = i - 4. What is q*b(d) + 2*h(d)?
2*d**2 - d - 2
Let w(a) = -2*a + 1. Let s(c) be the second derivative of 0 + c**2 - 2/3*c**3 - 2*c. Let v be ((-4)/(-3))/2*(6 - -3). Give v*s(f) - 13*w(f).
2*f - 1
Let r(y) = -y**2 + 1. Let a(o) be the second derivative of -o**5/20 - 5*o**4/12 + 5*o**2/2 - 6*o. Give a(c) - 5*r(c).
-c**3
Let q(c) = -c**2 + 2*c + 1. Let s(g) be the second derivative of g**2 + 0 + 3*g - 1/6*g**4 + 1/2*g**3. Let a(v) = -3*v. Let y be a(1). Give y*q(n) + 2*s(n).
-n**2 + 1
Let q(o) = -2*o**2 - 5*o - 2. Let h(w) be the second derivative of -w**4/12 - w**3/6 - w**2/2 - 28*w. Calculate 4*h(l) - q(l).
-2*l**2 + l - 2
Let i(y) = -4*y**3 - y**2 - 4*y. Let s(h) = -5*h**3 - 5*h. Give 6*i(m) - 5*s(m).
m**3 - 6*m**2 + m
Let t(c) = 12*c - 18*c + 2 + 4*c. Let z(x) = -10*x + 10. Give -16*t(f) + 3*z(f).
2*f - 2
Let j(w) = w**3 + 6*w - 3. Let b(p) = 62*p**3 + 2 - 124*p**3 - 5*p + 61*p**3. Determine 4*b(x) + 3*j(x).
-x**3 - 2*x - 1
Let d(a) = 3 + 2*a - 3 - a - 1. Suppose 3*l = -0*l - 18. Let f(p) = -4*p + 5. What is l*d(z) - f(z)?
-2*z + 1
Let w(m) be the first derivative of -m**3/3 - m**2/2 + m - 6. Let h(x) = 2*x**2 + 5*x - 4. What is -h(q) - 3*w(q)?
q**2 - 2*q + 1
Let j(l) = -l. Let t be j(-3). Let z(a) = -1 + t*a - 4*a - a. Let w(y) = y - 7. Let f be w(3). Let r(n) = -3*n - 1. Calculate f*r(p) + 5*z(p).
2*p - 1
Let h(y) = -y**2 - 9*y. Let s(x) = -x**2 - 3*x - 8. Let z be s(-5). Let o be (-45)/(-6)*8/10. Suppose 4*r + o = r. Let f(q) = q. Determine r*h(g) + z*f(g).
2*g**2
Let u(k) = 100*k**2 - 45*k + 45. Let x(g) = 9*g**2 - 4*g + 4. What is 4*u(p) - 45*x(p)?
-5*p**2
Let t(f) = -7*f**3 - 3*f**2 - 3. Let r(g) = 6*g**3 + 4*g**2 + 4. Give 3*r(a) + 4*t(a).
-10*a**3
Let t(q) = 3*q**2 + 5*q - 5. Suppose 5 + 1 = 3*b, -m = -2*b + 25. Let r(j) = -12*j**2 - 21*j + 21. What is m*t(i) - 5*r(i)?
-3*i**2
Let o(j) = -7*j - 103. Let v(w) = -4*w - 51. Determine -6*o(c) + 11*v(c).
-2*c + 57
Let k(u) = 3*u**3 - u**2 - u - 1. Let y be k(-1). Suppose -4*t - 5 + 17 = 0. Let q(n) = -3*n + 4. Let b(l) = -2*l + 3. What is t*q(c) + y*b(c)?
-c
Let k(l) = -6*l + 1. Let a = 21 + -22. Let i = -8 + 13. Let d(f) = -f. What is a*k(t) + i*d(t)?
t - 1
Let w(b) = -b + 7. Let o(d) = d**3 + 7*d**2 - 2*d - 15. Let v be o(-7). Let x(i) = 1. Determine v*w(r) + 5*x(r).
r - 2
Let q(a) = a + 4. Let l(k) = -3*k - 11. Determine -4*l(h) - 11*q(h).
h
Let o = 0 - -1. Let t(p) = 6*p + 3. Let g(l) = l**2 + 7*l - 7. Let q be g(-8). Let s(v) = -v - v - q + v. What is o*t(f) + 5*s(f)?
f - 2
Let a(k) = -4*k**2 - 4*k. Let o(f) = f**2 + f. Suppose 0 = -2*g + 4*w - 24, 41 - 12 = -2*g + 5*w. Calculate g*a(y) - 6*o(y).
2*y**2 + 2*y
Let u(r) = 2*r - 10. Let o be u(8). Let x be (10/o)/((-2)/6). Let a = -21 - -14. Let i(q) = -q - 2. Let l(j) = j + 3. Determine a*i(z) + x*l(z).
2*z - 1
Let w(k) = -13*k - 11. Let z(b) = -5*b - 4. Let j(l) = 4*w(l) - 11*z(l). Let x(u) = 3*u. Calculate -5*j(y) + 4*x(y).
-3*y
Let i = 43 + -28. Let q = i - 16. Let g(s) = s**2. Let m(t) be the third derivative of t**5/10 - t**2. What is q*m(v) + 4*g(v)?
-2*v**2
Let n(a) = -2*a - 7. Suppose -r - 12 = -2*w - 2*w, 5*w = -4*r + 36. Let v be (18/w - 2)*2. Let q(b) = 0 + b - 3 + 3 + 4. Give v*q | {
"pile_set_name": "DM Mathematics"
} |
) + (0 + sqrt(612))*1 - (-5*sqrt(136))/(sqrt(72)*2 - sqrt(2)).
406*sqrt(17)/11 + 3060
Simplify 2 + (-4 + (sqrt(7) + 1 + -2 - (5 + sqrt(14)/sqrt(2))) - ((1 + sqrt(7)*-3)**2 + (sqrt(7) + (-4*sqrt(252) - sqrt(252) - sqrt(252)))**2)).
-8647 + 6*sqrt(7)
Simplify ((6*1*sqrt(8064)*2)/((sqrt(392) - -1*sqrt(392)*5)*-4))**2.
36/7
Simplify -6*(1*sqrt(162)/(sqrt(54)/sqrt(6)))/(sqrt(54)/(sqrt(6)*2) + sqrt(1089)*2).
-4*sqrt(2)/15
Simplify (-5*(-5 + (2 + sqrt(847) + sqrt(847)*-3 + 3 - 5*(sqrt(847) + sqrt(847)*-2 + sqrt(847))*1) + 3))**2.
-3300*sqrt(7) + 84925
Simplify (sqrt(160)*-2)/sqrt(5) + sqrt(32) + -1 + sqrt(96)/sqrt(3) - ((sqrt(10) + 5*sqrt(40))/((sqrt(120)/sqrt(2))/sqrt(12)))**2.
-243
Simplify 6*((-1 + sqrt(539))*-1 + (-5*(3 + sqrt(539)) - sqrt(539)) + -6*3*(sqrt(539) + sqrt(539)*1)*-3)**2.
-118776*sqrt(11) + 32991210
Simplify -1*(-6*(sqrt(204)*3*1)/sqrt(12))**2 + ((sqrt(17) + sqrt(153) + 0)*5 + ((sqrt(17) - sqrt(17)*2)*1 - 4*-2*sqrt(17)))**2.
6885
Simplify (sqrt(76)*4*-5 - sqrt(76) - sqrt(76) - (-2*sqrt(76)*-5 + sqrt(76)))/(-1*(sqrt(36) + sqrt(72)/sqrt(2) + sqrt(36) - sqrt(36))/sqrt(9)*-3).
-11*sqrt(19)/2
Simplify (sqrt(162) - (sqrt(162) + -3*sqrt(162))*-3 - sqrt(162))/(sqrt(72)/((sqrt(64) + sqrt(64)*3)/sqrt(8) + sqrt(8) - sqrt(8)))*6.
-432*sqrt(2)
Simplify (5*(0 + (sqrt(175) - (sqrt(175) + (sqrt(175) - 1*sqrt(175)))) - (-3*sqrt(175)*-2 + sqrt(175)) - 4*((sqrt(175) - (0 + sqrt(175))) + 4)))**2 + 3.
28000*sqrt(7) + 220778
Simplify ((5*(-3*sqrt(5) - sqrt(5)) - (sqrt(245)*5 - sqrt(5) - sqrt(5) - sqrt(5)))**2 - ((-3*sqrt(605)*-1 - sqrt(605)) + -5))*4.
-88*sqrt(5) + 54100
Simplify (1*sqrt(495)*3*3)/(1*sqrt(180) + 3*sqrt(500)).
3*sqrt(11)/4
Simplify (4*1*(-1*sqrt(117))**2 - (1 + sqrt(52)/sqrt(4)*-1 + (sqrt(39)*-1)/sqrt(3))**2) + -2.
4*sqrt(13) + 413
Simplify 0 + ((sqrt(68) - (sqrt(68) - sqrt(68)*3)) + sqrt(17) - 1*(sqrt(17) + 2)) + (sqrt(4131)*2)/(-3*(sqrt(3)*-1 - sqrt(3))).
-2 + 9*sqrt(17)
Simplify sqrt(133)/((sqrt(35) + 3*sqrt(35))/sqrt(5)) + 2 - ((sqrt(133) - (1*sqrt(133) - sqrt(133)))*5 + sqrt(133))/(sqrt(84)/sqrt(48)).
-47*sqrt(19)/4 + 2
Simplify ((sqrt(98) + sqrt(98) + sqrt(98)*1*-5)/(1*sqrt(7)*-2))/((1*sqrt(768))/(sqrt(6) + sqrt(6) + (sqrt(96)/sqrt(4) - sqrt(6)))).
9*sqrt(7)/16
Simplify (3 + (sqrt(288)/((sqrt(108) + sqrt(108)*-1)/sqrt(9) + sqrt(12)))/(sqrt(1200)*2*2))**2 + -4.
3*sqrt(2)/20 + 4001/800
Simplify -5 + 1 + ((sqrt(117) - (0 + sqrt(117) - sqrt(117) - sqrt(117))) + 0)**2*1 + -3*sqrt(117)*-1*-3.
-27*sqrt(13) + 464
Simplify -3 + (sqrt(135)/(-2*sqrt(5)) + (1 + sqrt(27))*3 - (((sqrt(270)*1)/sqrt(10))**2 + 3)) + 3.
-27 + 15*sqrt(3)/2
Simplify (1 + 2 + sqrt(75) + sqrt(75) + 3)**2 + ((sqrt(72)*1)/sqrt(2))/(sqrt(12) - (sqrt(12) + (sqrt(768) - -2*sqrt(768) - sqrt(12)))).
2759*sqrt(3)/23 + 336
Simplify -5*-2*(sqrt(120)/(-3*sqrt(12))*-3)/(-6*(sqrt(8) - sqrt(2)) + 4*(2*sqrt(2) - sqrt(2))).
-5*sqrt(5)
Simplify (2*-3*sqrt(66) - (sqrt(66) + (sqrt(66) + sqrt(66)*-3)*4 + sqrt(66)))/(-6*(sqrt(726) - (sqrt(726)*-2 - sqrt(726))*-4 - sqrt(726))).
0
Simplify (2 + (sqrt(242) - (-3*-2*sqrt(242))**2) - ((1 + sqrt(242))*1 + -5))*2*6.
-104472
Simplify (((3*sqrt(176) + 3)*2)**2 - -2*((3*sqrt(176) - sqrt(176)) + 2)) + 0.
304*sqrt(11) + 6376
Simplify (6*1*(sqrt(78) - -3*(sqrt(78) + 2*sqrt(78))))/(1*sqrt(60)/(sqrt(160)/sqrt(4))).
120*sqrt(13)
Simplify -1 + (2 + sqrt(832) + sqrt(832) + (5*1*sqrt(832))**2 + -4 + -2)*-5.
-103981 - 80*sqrt(13)
Simplify -4 + (-5*(-1*(3 + sqrt(208)) - (-5 + (sqrt(208) - 3*sqrt(208)) - sqrt(208))))**2*-6.
-125404 - 4800*sqrt(13)
Simplify ((sqrt(420)*2)/sqrt(10) + sqrt(252)/sqrt(600))/((sqrt(66) + 2*sqrt(66)*4)/((sqrt(88)/sqrt(2))/sqrt(4))).
7*sqrt(7)/30
Simplify (-5*3*2*-3*sqrt(76))/(4*(sqrt(4) - (sqrt(4) - (sqrt(4) - sqrt(256)))) - (sqrt(400) + sqrt(400)*-4)).
45*sqrt(19)
Simplify (-3*sqrt(64))/(-6*(sqrt(2) - (sqrt(2) + 3*sqrt(2) + sqrt(2)))) - ((1*sqrt(3456) - sqrt(3456))/(2*sqrt(60)/sqrt(5)))**2.
-sqrt(2)/2
Simplify -1*(((-2*sqrt(48))/sqrt(8) - sqrt(6))/(3*sqrt(3)*-1) + (sqrt(192)/sqrt(96) + -2)**2) + 3.
-3 + 3*sqrt(2)
Simplify -2 + 2 + ((2 + 2 + sqrt(363))*5 + (sqrt(363) + 0 + -1 + sqrt(363) - (sqrt(363) + 0 + 1)))**2.
2376*sqrt(3) + 13392
Simplify (4*(3 + 3*(-3*sqrt(1008) + sqrt(1008))*3 + 1) + 5)**2.
-36288*sqrt(7) + 5225913
Simplify 2*((sqrt(280)*2*-3 - sqrt(280)) + sqrt(280))/(sqrt(1210)*-1)*-4*-4 + -5.
-5 + 384*sqrt(7)/11
Simplify ((-2*(1 + sqrt(425)) + -1)**2 - 6*(3 + (sqrt(1700)*2)**2)) + -5.
-39114 + 60*sqrt(17)
Simplify (1 + sqrt(32) + (sqrt(8) + -4)**2 - (sqrt(24)/sqrt(48) - (0 + sqrt(128) + sqrt(2)))**2) + 0 + (sqrt(2) + -1 + sqrt(2))*2 + -5*sqrt(10)/sqrt(5).
-243/2 - 13*sqrt(2)
Simplify (sqrt(135)/(sqrt(9)/sqrt(3))*-5*-5)/(((sqrt(630)*-2 + sqrt(630))/sqrt(10))/(sqrt(14)/(sqrt(2)*-2))).
25*sqrt(5)/2
Simplify (-2*sqrt(1088)*5 + -6*(0 + sqrt(1088)))**2 + (-1*(sqrt(17) + (sqrt(17) - 4*sqrt(17))) - 6*(0 + sqrt(17))).
-4*sqrt(17) + 278528
Simplify (-1*(2 + 1 + sqrt(17) - sqrt(119)/(sqrt(21)/sqrt(3))) + (-6*sqrt(102)*-1)/((sqrt(30) + sqrt(270) + sqrt(30))/sqrt(5)))**2.
-36*sqrt(17)/5 + 837/25
Simplify (1*(2 + (3*sqrt(30)*1)/(1*sqrt(726)))*6)**2.
432*sqrt(5)/11 + 19044/121
Simplify -5 + (sqrt(432) + -2*sqrt(432) + -4 - 5*(-2 + sqrt(432)))**2 + 0 + 0 + (-1 + sqrt(432))**2 + -4.
-888*sqrt(3) + 16012
Simplify (sqrt(704)*4)**2 + 0 + -3 + (sqrt(704) + (-1 + sqrt(704) + -3 - sqrt(704))**2 + sqrt(704))*5 + 1.
80*sqrt(11) + 11342
Simplify (-3*-3*sqrt(176) + 2*(3 + sqrt(176)) + ((1 + sqrt(176) + sqrt(176) - sqrt(176))*4 - (sqrt(176) + 0 + (sqrt(176) - sqrt(176)*-1)))*4)**2.
2640*sqrt(11) + 40084
Simplify (((-3*6*(sqrt(700) - (sqrt(700) + -1*sqrt(700))*-3) + -2)*-3)**2 + 0)*5.
32400*sqrt(7) + 10206180
Simplify (sqrt(110)*-1*-1 + (sqrt(110) - (sqrt(110) + (sqrt(110) + 2*sqrt(110) - sqrt(110)))*-2))/(sqrt(70)/(sqrt(7) + (5*(sqrt(112) + sqrt(7)) - sqrt(7)))*5).
40*sqrt(11)
Simplify ((1 + sqrt(76)/(4*sqrt(16)/sqrt(4)) + -2*(sqrt(931) + sqrt(931) + (sqrt(931) - (sqrt(931) + (-3 + sqrt(931) + 0 - sqrt(931))))))*-3)**2.
4995*sqrt(19)/2 + 2110491/16
Simplify ((-5*(sqrt(70) + (sqrt(70) - sqrt(70)*1 - sqrt(70))))/(sqrt(1500)/sqrt(6)) - (-4 + -4*sqrt(28)/sqrt(4) + (0 + sqrt(7))*6))*5.
-10*sqrt(7) + 20
Simplify (sqrt(3388)*-2)/(sqrt(64)*-1) - ((-1 + sqrt(112) + 0)**2 + sqrt(112) + sqrt(112) + (sqrt(21) - (sqrt(126)/sqrt(2))/sqrt(3))/sqrt(3)).
-113 + 11*sqrt(7)/2
Simplify 3*(((sqrt(33)/sqrt(3))**2 + 1 - (sqrt(33)/sqrt(3) + 4))*-3 + 4)*3.
-180 + 27*sqrt(11)
Simplify (((sqrt(637) + (1 + sqrt(637))*-2 - (sqrt(637) + 0)*-6)*6 - ((sqrt(637) - -4*(sqrt(637)*-3 + sqrt(637))) + 0 + -1 + sqrt(637) + sqrt(637))) + -3)**2.
-6860*sqrt(13) + 780521
Simplify -2 + -4*((sqrt(128) + 3 + sqrt(128) + sqrt(128) + -2 + sqrt(72)*2*3)**2 + -1).
-28802 - 480*sqrt(2)
Simplify -1*(2 + sqrt(19)*-4 + sqrt(171) + sqrt(171) + 2 - (sqrt(1216) + -2 + (5*sqrt(38))/sqrt(2))).
-6 + 11*sqrt(19)
Simplify (-2*3*(2 + 2 + sqrt(1539)) + -1)**2*3 + -2.
8100*sqrt(19) + 168085
Simplify (3*(-2 + sqrt(1377)*-2 + -2) + sqrt(425) + -6*(1 + sqrt(425)) + -1 + sqrt(612) + -2)**2.
3066*sqrt(17) + 91034
Simplify (2*(sqrt(147) + sqrt(147)*2) - 2*sqrt(147)*-2 - (0 + (sqrt(3)*1*-3 - (sqrt(27) + sqrt(81)/sqrt(3))/sqrt(9)) + -3))**2.
450*sqrt(3) + 16884
Simplify (1 + (sqrt(425) + 0 + 3)*-2 + -4 + -4*1*(sqrt(34)/sqrt(2) + -1))**2.
140*sqrt(17) + 3357
Simplify ((sqrt(750)*2)/(sqrt(135)/sqrt(3)))/(((sqrt(176) - -2*sqrt(176))/sqrt(11))/(sqrt(32)/sqrt(64) + sqrt(8))).
25*sqrt(3)/18
Simplify 0 + 2 + 2 + -2*((sqrt(98) - (-3*sqrt(98))**2) + sqrt(98)) + (2*sqrt(98)*4)**2 + -4.
-28*sqrt(2) + 8036
Simplify (-1 + (sqrt(147) + (sqrt(147) - 2*sqrt(147)*6) - (sqrt(147)*5*2 + sqrt(147)))*-6 + 0)**2.
-1764*sqrt(3) + 2333773
Simplify 2*(1 + (-2*sqrt(847) + sqrt(847))*6 + (-2 + (-1*sqrt(847))**2 - (sqrt(847) + 4 + (sqrt(847)*-1)**2)))*-4.
40 + 616*sqrt(7)
Simplify (sqrt(180)/(sqrt(84)/sqrt(7)))/(sqrt(20)/sqrt(36)) + (0 + -1 + -3 + (sqrt(108) - (-1 + sqrt(108))))**2.
3*sqrt(3) + 9
Simplify -5*-6*(2 + 4 + sqrt(68)*-1 + -4)*1.
-60*sqrt(17) + 60
Simplify (sqrt(30)/sqrt(6)*6 + (sqrt(875) + sqrt(35))/sqrt(7) - (3 + sqrt(20)/sqrt(4) + 3 + -4))**2.
-44*sqrt(5) + 609
Simplify -2*(1*(5*sqrt(132)*-1 + sqrt(132) - sqrt(132)))/(sqrt(972) + (sqrt(972) + sqrt(972) + (sqrt(972) - sqrt(972)*-5 - sqrt(972))*3 - sqrt(972))).
10*sqrt(11)/153
Simplif | {
"pile_set_name": "DM Mathematics"
} |
of -161*m**3*v + 133*m**3 - 136*m*v + 3805*v wrt m?
-966*m*v + 798*m
What is the third derivative of -1595450*i**3 - i**2 + 511182*i - 1?
-9572700
What is the second derivative of -1091*f**2*o**2 + 15*f**2*o + 29*f**2 + 4*f*o**2 - f*o - 6*f wrt o?
-2182*f**2 + 8*f
Find the second derivative of -396897*c**2 - 22*c + 71.
-793794
What is the first derivative of -369097*w + 630021 wrt w?
-369097
What is the second derivative of 2*r**2*u**2 + 37174*r**2 - 1263*r*u**2 - 5*r*u + r wrt r?
4*u**2 + 74348
Find the second derivative of 2197913*x**2 - 3*x + 190658 wrt x.
4395826
What is the second derivative of 4*c**5 + 2380*c**4 + 108213*c?
80*c**3 + 28560*c**2
Find the first derivative of 34562*v**2 - 56475.
69124*v
What is the second derivative of 3*h**2*m**2*u - 2*h**2*m*u**3 + 200161*h**2*u - 232*h*m**2*u**3 + 2168*m**2 wrt h?
6*m**2*u - 4*m*u**3 + 400322*u
What is the first derivative of -6*b**3*x**3 + 11207*b**3*x**2*z - 36524*b**3*x + 17*b**2*x**3*z wrt z?
11207*b**3*x**2 + 17*b**2*x**3
Find the second derivative of 2*d*w**4 + d*w**2 - 2*d*w - 3*d + 33782*w**4 - 127*w + 449 wrt w.
24*d*w**2 + 2*d + 405384*w**2
What is the third derivative of 4*x**5 + 679*x**4 + 48*x**2 - 251?
240*x**2 + 16296*x
Differentiate -22*f*p*r**2 - 69237*f*p + 141*f*r**2 - f + p*r**2 wrt r.
-44*f*p*r + 282*f*r + 2*p*r
What is the third derivative of 29*l**5 + 226*l**3 - 249042*l**2 wrt l?
1740*l**2 + 1356
What is the third derivative of 1170*w**4*z**2 + 73*w**4*z - 3*w**2*z**2 - 3*w*z + 6*w - 26*z**2 wrt w?
28080*w*z**2 + 1752*w*z
What is the derivative of 85536*m**2*t - 3*m**2 - 3378*m wrt t?
85536*m**2
Find the first derivative of 914*d**3 + 3*d**2 + 11*d - 99414.
2742*d**2 + 6*d + 11
What is the first derivative of -319*g**3*j - 8*g**3 - g**2*q - 2*g**2 - 15*j*q - 237*q wrt j?
-319*g**3 - 15*q
Find the second derivative of -120261*w**2 - w - 90950.
-240522
What is the derivative of -30825*w + 54711?
-30825
What is the second derivative of -23564*j**2*s**2 - 209*j**2*s - 1492*j - 6*s**3 wrt s?
-47128*j**2 - 36*s
Find the first derivative of 12*m**3*r + m**3*u - 2*m**3 + 2*m**2*r*u**2 - m - 145*r + 3280*u**3 wrt u.
m**3 + 4*m**2*r*u + 9840*u**2
Find the second derivative of -252922*v**3 + 15*v - 35207 wrt v.
-1517532*v
What is the third derivative of 6561*m**3*x**3 - 395527*m**3 + 231*m**2*x**4 - 2*m**2*x**2 - 2*m*x**2 wrt x?
39366*m**3 + 5544*m**2*x
Differentiate 3330403*k - 2033340 wrt k.
3330403
What is the second derivative of 2*i**2*n**2 + 2*i**2*n - 45097*i**2 + 3*i*n**2 + 17812*i*n + 6*i wrt i?
4*n**2 + 4*n - 90194
Differentiate 3*a*d**3*s**2 + a*d*s**3 - 37701*a*d - 2*d**3*s**3 + d**2*s**3 - 2*s**3 + 10325*s + 3 wrt a.
3*d**3*s**2 + d*s**3 - 37701*d
Find the second derivative of 293134*p**3 - 4*p**2 - 297479*p wrt p.
1758804*p - 8
Find the third derivative of -4*c**3*n**3*t - 2*c**3*n - 2856*c**3*t - 435*c**2*n + 5*c*n**3 - n**2*t wrt c.
-24*n**3*t - 12*n - 17136*t
Differentiate 5626*t**3 - 2*t**2 + 2*t - 26456 with respect to t.
16878*t**2 - 4*t + 2
Find the second derivative of 936537*c**3*k**2 - 2*c**3*k + 10*c**3 - 4*c**2 - 4*c*k + k wrt k.
1873074*c**3
Find the first derivative of 606429*l + 1631686 wrt l.
606429
What is the third derivative of -5792*z**4 + 3*z**3 - 446*z**2 - 93?
-139008*z + 18
Find the second derivative of t**4 + 135*t**3 + 100*t**2 + 881*t - 93.
12*t**2 + 810*t + 200
Find the first derivative of 14174*r*w + 97*r + 87*w - 185 wrt w.
14174*r + 87
What is the second derivative of -f*n**5 + 349*f*n**2 - 5*f*n + 518*f + 3*n**3 - 3*n wrt n?
-20*f*n**3 + 698*f + 18*n
What is the third derivative of -2*j**3*l**3 + 5*j**3*l**2 + j**3*l - 15*j**2*l**3 + j**2 - j*l**3 - 4*j*l**2 + 38*l**3 - 154 wrt l?
-12*j**3 - 90*j**2 - 6*j + 228
Differentiate -2014773*g**4 - 1715996 with respect to g.
-8059092*g**3
Differentiate -15020*b**3*n + 3*b**2 - 40306*n with respect to b.
-45060*b**2*n + 6*b
What is the third derivative of -359*n**4 - 58*n**3 - 2*n**2 - 2140 wrt n?
-8616*n - 348
What is the second derivative of 717*r**3 + 811*r**2 + 1300216*r wrt r?
4302*r + 1622
What is the derivative of -23*s**2 + 211*s + 24089?
-46*s + 211
What is the third derivative of j**6 + 58581*j**3*k - 114*j**2*k + 2*j**2 - k + 99 wrt j?
120*j**3 + 351486*k
Find the second derivative of 103391*j**2 - 49191*j wrt j.
206782
Differentiate -17*y*z**2 + 4148*y - 2*z**2 - 249*z + 16 with respect to y.
-17*z**2 + 4148
Find the third derivative of -4186*t**4 - 1378*t**2 + 14*t.
-100464*t
What is the derivative of -58797*k**3 + k - 126852 wrt k?
-176391*k**2 + 1
What is the first derivative of 2142586*o**2 - 1360465?
4285172*o
What is the first derivative of 66696*a**2*c**3 - 164184*c**3 wrt a?
133392*a*c**3
What is the first derivative of -4*f*i**3 - f*i - 511*f + 202558*i**3 wrt f?
-4*i**3 - i - 511
Find the second derivative of -97037*a**3 - 52332*a + 5.
-582222*a
What is the second derivative of 19*g**3 - 63097*g**2 - 609800*g wrt g?
114*g - 126194
What is the second derivative of -2627*g**2*q**2*r + 3*g**2 + 2*g*q**2*r - q + 1567*r - 1 wrt q?
-5254*g**2*r + 4*g*r
What is the derivative of 4923*c**3 + 3*c**2*v - 1894939*v wrt c?
14769*c**2 + 6*c*v
What is the second derivative of -4*m**3*o*p**2 - 16829*m**3*p**3 - 2*m*o*p**3 + m*o*p**2 - 699*m - o*p**3 + 2*o*p**2 - 2*o wrt m?
-24*m*o*p**2 - 100974*m*p**3
Differentiate 7*b*y**2 + 2*b - 36911*y**2 - 6303 wrt y.
14*b*y - 73822*y
What is the third derivative of 66*c**6 + 8*c**3 - 6959*c**2 wrt c?
7920*c**3 + 48
What is the derivative of 2060662*m**2 + 550064 wrt m?
4121324*m
What is the first derivative of 996293*g*p + 455788*p wrt g?
996293*p
What is the second derivative of 414456*m**2 - 2951715*m?
828912
Find the second derivative of 22*b**2*m**3 - 98*b**2*m**2 - b**2 + 1066*b*m + m**3 wrt b.
44*m**3 - 196*m**2 - 2
Find the first derivative of 9*x**3 - x**2 - 497*x - 39415 wrt x.
27*x**2 - 2*x - 497
Find the second derivative of 295*h**4 - 114*h**3 + 241047*h.
3540*h**2 - 684*h
Differentiate 3837*a*k**2 - a*n**3 + 5*a*n**2 + 14*k**2 + 791*k*n**3 with respect to a.
3837*k**2 - n**3 + 5*n**2
Find the first derivative of 337893*q**2 - q + 3704075 wrt q.
675786*q - 1
What is the third derivative of -71072*l**4 - 9*l**2 + 11*l + 43 wrt l?
-1705728*l
What is the second derivative of -16985*c**3 - c**2 + 110*c + 218?
-101910*c - 2
Find the second derivative of -z**5 - 2969*z**3 + 18*z**2 - 163*z - 1634 wrt z.
-20*z**3 - 17814*z + 36
What is the derivative of 1900525*k**4 + 1328342?
7602100*k**3
What is the second derivative of -2*m**2*s**3 - 12000*m**2*s**2 - 2*m*s**3 + 225*s**3 + 8*s wrt m?
-4*s**3 - 24000*s**2
Find the second derivative of -1388802*o**2 - o + 915713.
-2777604
Find the third derivative of -26919*h**6 - 6597*h**2 wrt h.
-3230280*h**3
Differentiate -7*c**2*j + 171*c**2 - 974*c*j*x**2 - 2*c*j - 12*x**2 wrt j.
-7*c**2 - 974*c*x**2 - 2*c
What is the first derivative of -502451*h*s**2 + 341202*s**2 wrt h?
-502451*s**2
Differentiate a**4 - 733146*a - 1027769 with respect to a.
4*a**3 - 733146
Find the third derivative of 10*j**4 + 5834*j**3*n**2 - 3*j**2*n**2 - 61735*n**2 wrt j.
240*j + 35004*n**2
Differentiate 4456*f*j**2 - 6*f - 3380367*j**2 with respect to f.
4456*j**2 - 6
Find the first derivative of -b*c**2*w + 1776*b*c**2 + 30*b*w - b - 435*c**2*w + 3*c**2 - 130*c wrt b.
-c**2*w + 1776*c**2 + 30*w - 1
Find the first derivative of -898*c**4 + 2*c**3 - 21*c**2 + 423812 wrt c.
-3592*c**3 + 6*c**2 - 42*c
Find the first derivative of -471577*u**4 + 347719 wrt u.
-1886308*u**3
What is the second derivative of -27977*j**2 + 738507*j wrt j?
-55954
What is the second derivative of -1844596*c**2*j**2 - c*j**2 + 37*c*j + c - 20*j**2 + 7*j wrt c?
-3689192*j**2
Find the first derivative of n**4 - 220*n**3 + 18*n**2 - 4*n - 50940 wrt n.
4*n**3 - 660*n**2 + 36*n - 4
What is the second derivative of -132045*o**2 + 146650*o?
-264090
What is the third derivative of -1094*b*c**3*r**2 - b*c**3 - b*c**2 + 22*c**3*k + 8*c**2*k*r**2 - 2*c**2*r - 199*c*k*r**2 wrt c?
-6564*b*r**2 - 6*b + 132*k
Find the second derivative of -13*j**5 - 3536*j**3 + 1493*j + 56 wrt j.
-260*j**3 - 21216*j
Find the second derivative of c*v**2 + 2*c*v + c - 1914*v**2 - 7*v - 3 wrt v.
2*c - 3828
What is the third derivative of -u**4 + 205276*u**3 + 23*u**2 + 4*u - 1?
-2 | {
"pile_set_name": "DM Mathematics"
} |
r) = 7*l(r) - 3*z(r). Let o be c(7). Let k = o - -8. Solve -4 = 6*i - k*i for i.
-4
Suppose 2*g - 3 = 5. Suppose -o = g*o. Solve o = 3*l + 2*l for l.
0
Let c be -6*4/8*-1. Solve -2*n + 1 = -c for n.
2
Let v(q) = -q**3 - 13*q**2 + 14*q + 4. Let h be v(-14). Solve -h*w + 16 = -0*w for w.
4
Suppose 0 = -4*m - m - 10. Let q be -2 + (2 - m - 0). Solve 0 = q*x - 7 - 1 for x.
4
Let a be (-1 + 4 - 3)*(-1)/(-2). Solve 5*o - o - 4 = a for o.
1
Suppose -2*s - 8 = -6*s. Solve s*w = -0*w for w.
0
Suppose 4*w - 3*x = 71, w = 5*w - 4*x - 68. Suppose 5*d + 16 = 4*a, -5*a + 3*d + d + w = 0. Solve a = h - 1 for h.
5
Let x(z) = 3*z**2 + 1. Let g be x(-1). Suppose -4*n + 28 = g*k + 12, 3*k + 8 = 2*n. Solve s - 2*s = k for s.
0
Let b = -9 + 25. Suppose 0*n = 2*n - 6. Solve -s - b = n*s for s.
-4
Suppose -y + 3 = -8. Solve -1 = -3*j + y for j.
4
Let q = -1 - -4. Let c(y) = y**3 + 7*y**2 - 9*y - 8. Let z be c(-8). Suppose z = 2*k - 4*t + 6, 0 = q*k + 3*t + 2*t - 24. Solve 0*b = -k*b + 9 for b.
3
Let w = -16 + 10. Let b = -1 - w. Let p be (-171)/(-45) + 1/b. Solve -2*t + p = -0*t for t.
2
Let b be 24/15 + (-4)/(-10). Let z(m) = -m + 4. Let f be z(4). Suppose f = 4*j - 9*j. Solve 4*t - b*t + 2 = j for t.
-1
Let x be ((-6)/(-4))/((-2)/(-8)). Let w be 12/15*-2*5/(-4). Solve x = -w*r + 2 for r.
-2
Suppose 4*l = -3*x + 21, 2*l + 1 = 3*x + 34. Solve -5*j + l = -2*j for j.
3
Let x(a) = -a**3 - 8*a**2 + 2. Suppose -4*r + 0*r - j = -2, 2*j + 3 = -r. Suppose d = n - d + 2, 2*n = 5*d - r. Let q be x(n). Solve c - 2*c = q for c.
-2
Let x be -4 + -3 - (0 - 2). Let y be 6 + x - (0 + 1). Solve 2*v = -y*v for v.
0
Suppose 30*x = 35*x - 20. Solve -x = 5*v + 21 for v.
-5
Let t = 4 - -1. Solve h + t + 0 = 0 for h.
-5
Let r(d) = -d**3 + 5*d**2 + 6*d + 3. Let k = 8 - 2. Let f be r(k). Solve -f*i = i - 16 for i.
4
Suppose 10 = -10*y + 5*y. Let b = y - -7. Suppose -b - 7 = -4*c. Solve -c*h + 0*h + 12 = 0 for h.
4
Suppose -13 - 27 = -5*s. Let i = s - -12. Suppose -4*n - i + 6 = f, 5*n = 2*f - 24. Solve -f*u + 1 = 9 for u.
-4
Let w(a) = a**3 + 3*a**2 + a. Let m be w(-2). Let l = -12 + 16. Solve -6 = -m*u - l for u.
1
Suppose -2*k = -3*m + 3*k + 7, 19 = m - 5*k. Let n(z) = z**3 + 5*z**2 - 7*z - 4. Let o be n(m). Solve 0 = -o*r + r + 3 for r.
3
Suppose 2 = 3*b - 4. Suppose 5*h + b*l = 0, -h = -l - l - 12. Solve -h*y + 3 = y for y.
1
Let a be 260/36 + 2/(-9). Suppose -4*m + a = -1. Solve -2*z - 16 = m*z for z.
-4
Let d be (-1)/(-9) + (-310)/(-45). Solve -d*s = -2*s + 25 for s.
-5
Let s(z) = z - 3. Let y(h) = -h**2 - 7*h - 3. Let i be y(-6). Let w be s(i). Solve w = -l + 5 - 0 for l.
5
Let a be 1/(-4) + 27/12. Suppose -a - 4 = -3*z. Suppose -2*d = -2, 4*d = -5*u + z*d + 22. Solve r = -0*r - u for r.
-4
Let p be 24/20*5/2. Let k(w) = -w + 6. Let y be k(0). Let v = 22 - y. Solve -v = p*m + m for m.
-4
Suppose -2*r = r - 9. Let y(b) = b**3 - 3*b**2 - 2*b - 1. Let a be y(4). Let f = a - r. Solve -f*t - t + 5 = 0 for t.
1
Suppose 4 = d - f, -f = 3*d - 3*f - 8. Suppose -3*a + d*a + 30 = 0. Let i be (12/a)/(2/20). Solve -3*y - i = y for y.
-3
Let u(c) = 2*c**2 - 8*c + 11. Let x be u(2). Solve x*j = -j for j.
0
Let g(r) be the first derivative of -r**4/4 + 2*r**3 - 3*r**2/2 - 2*r + 1. Let l be g(5). Solve 0 = 4*a + l for a.
-2
Let m = 55 + -52. Solve m = 2*z + z for z.
1
Let c(r) be the third derivative of -r**6/120 - 2*r**5/15 + 7*r**4/24 - 4*r**3/3 + 2*r**2. Let f be c(-9). Solve 2*q - f = -0*q for q.
5
Let f be -12*(25/4)/(-5). Suppose 2*n - 3*n + 3 = 0. Suppose -n*d - 10 = -2*r, -3*r = -d - 18 + 3. Solve r*y - f = 10 for y.
5
Suppose -2*h + 2 = -4*a, -2*h + 0*h = -5*a. Solve -2 = h*n + 3 for n.
-1
Let j be 1 + -1 - (-76)/19. Solve j*l - 3*l = -1 for l.
-1
Let f = -4 - -3. Let j be (2 + f)*5*1. Suppose -j*x + 2*p - 7 = -47, -4*x + 5*p + 49 = 0. Solve 20 = -x*u + 2*u for u.
-5
Let r(a) = a**3 - 11*a**2 + a - 8. Let l be r(11). Solve -10 = 2*o + l*o for o.
-2
Suppose -r + 4*n = -13, -4*r - 3*n - 2 = 41. Let m(g) = -g**2 - 7*g. Let t be m(r). Let u be (-5)/15 + (-10)/(-3). Solve -u*x + 12 = -t*x for x.
4
Let g be 5/2 - (-1)/2. Suppose 4*d = -65 - 19. Let p = d + 33. Solve -t + p = g*t for t.
3
Suppose 7*t + 2 = 30. Solve -2*h = -h + t for h.
-4
Let s(k) = -k + 22. Let m be s(9). Let a = m + -12. Solve -a = -3*x + 2 for x.
1
Suppose -3*l + 18 = -3*g, -4*l = -7*l - 2*g + 3. Suppose 0*z - 3 = -3*a + l*z, -4*a + z + 1 = 0. Solve a = -2*n - n for n.
0
Let o be (1 - 3)/((-2)/5). Let i be (42/(-15))/(1/o). Let b = -10 - i. Solve b*c - 12 = 4 for c.
4
Let g(u) = u**3 - 8*u**2 + 5*u + 17. Let t be g(7). Solve -t*d + 11 = -4 for d.
5
Let g(l) = l**3 + 2*l**2 - 3*l. Let y be g(-3). Solve -a + 3 = -y*a for a.
3
Suppose -4*s - 6 = -k, 4*k = k - 2*s + 4. Let a(p) = p**2 - 7*p - 9. Let j be a(8). Let b be (j - -1)/(1 - 0). Solve b = k*n + n + 3 for n.
-1
Suppose 9 = -3*f + 18. Let z = 3 - 7. Let x be (f + z)*0/(-3). Solve x = -3*o - 7 + 1 for o.
-2
Suppose -11 = d - 13. Solve 0 = d*n - 6*n - 4 for n.
-1
Let i = -1 - -4. Suppose 3*w = -3*f + 4*w + 15, -4*w - 6 = -i*f. Suppose -3*u + 3*k + 0*k = 9, -2*k + f = 0. Solve u = -2*l - 0*l for l.
0
Suppose -2*c + 4 + 6 = n, 4*n - 5*c - 27 = 0. Let d be 0*2*(-4)/(-8). Solve d = -0*b - 2*b - n for b.
-4
Suppose 0 = 2*l - 6*l. Solve l*t = t for t.
0
Let g(q) = q + 11. Let n be g(-6). Let z(m) = -m**3 + 8*m**2 + m + 10. Let j be z(8). Suppose -2*k = -n*k + j. Solve 4*x - k - 14 = 0 for x.
5
Let o(n) = n**2 + 12*n + 32. Let s be o(-10). Solve -v - 3*v + s = 0 for v.
3
Let j be 4/6 - (-8)/6. Let v(r) = r. Let z be v(4). Suppose j*f - z*f + 6 = 0. Solve f*y = -6 - 3 for y.
-3
Let a(d) = -d**2 - 6*d - 6. Let j be a(-4). Suppose 1 = -5*l + 26. Suppose 0 = 5*w + t - 10, -l*w + 5*t - 4 - 16 = 0. Solve v - j = w for v.
3
Let j = 3 - -4. Suppose 2*z = 3*z + 5*x - j, 4*z + 4*x - 12 = 0. Solve 2*t = -0*t + z for t.
1
Suppose 0 = 5*q + 2*y - 91 - 21, 0 = -q + 5*y + 44. Let o = -9 + q. Solve -3*f + o = 2*f for f.
3
Let a = 58 + -52. Solve a = -j + 4 for j.
-2
Suppose -4*l = -4*v - 4, -2*l + 1 = v - l. Solve -c + 3 = -v for c.
3
Let g(u) = -2*u**3 - 5*u**2 - 4*u - 4. Let l be g(-3). Let a = 9 - 3. Let r be ((-12)/8)/(a/(-8)). Solve 5*t - l + r = 0 for t.
3
Let m(p) = -6 + 7 + 5*p + 2*p**3 - 3*p**2 - 3*p - p**3. Let y be m(3). Solve -27 = 5*w - y for w.
-4
Let c be 4/22 - (-388)/44. Solve 0 = 5*g + c + 11 for g.
-4
Suppose 31 = 5*g - 49. Solve 0 = 6*p - 2*p + g for p.
-4
Let j = -3 + 7. Let o(b) = -b**2 - 6*b. Let w be o(-7). Let m be (w/2 - -3)*0. Solve -j*c + 2 + 2 = m for c.
1
Suppose -4*x + k + 33 = 0, 2*x + 2*x - 30 = 2*k. Suppose 0 = -s - 2*s + x. Solve 2*f = -s - 3 for f.
-3
Let n(s) = s**2 - 6*s + 7. Let x be n(5). Solve -4 = x*i - 6*i for i.
1
Let y be (-174)/(-30) - 2/(-10). Let s(d) = d**3 - 7*d**2 + 9*d - 2. Let v be s(y). Solve -r - 3*r = v for r.
-4
Suppose a = 3 + 1. Let f = 1 + a. Suppose -3*p - 5*j - 15 = 0, -p - f*j - 15 = p. Solve p = -n - 4 + 1 for n.
-3
Let r(h) = h**2 - 7*h + 3. Let l(u) = -u - 1. Let f(n) = l(n) + r(n). Let v(m) be the first derivative of f(m). Let z be v(6). Solve -1 + z = -y for y.
-3
Let b(a) = -11*a + 2*a + a**2 - 10 - 3*a. Let i be b(13). Let d be (-1)/i + 13/3. Solve -2*c = -d*c for c.
0
Suppose -4*s + t + 85 = -s, 0 = -2*s + 2*t + 50. Suppose 2*v = -2*k + 44, -2*v + 6*k + s = k. Let w = 11 - 7. Solve g + v = -w*g for g.
-4
Let o be (6 - 6)/(-1 - 2). Solve o = -6*z + 4*z for z.
0
Let w be ((-1)/3)/(1/(-15)). Suppose -p = -2*g - 4, w*p + g - 6 = -3*g. Let y be p - (0 + -6)/(-3). Solve 0 = n + 3 - y for n.
-3
Let n(o) = -6*o - 33. Let i be n(-6). Solve y = -i*y + 8 for y.
2
Let d be (4/10)/((-1)/(-5)). Let l be 1*3 + d + 0. Suppose 0*m = -5*m + y + 20, -2*m = 2*y - 8. Solve m*j + l + 3 = 0 for j.
-2
Let o = -42 + 46. Solve -o*f - 8 - 12 = 0 for f.
-5
Suppose 0 = -5*p + 8 + 7. Suppose g + 2*d + 18 = 3*g, -3*d = p*g + 3. Solve r + g = 2 for r.
-2
Let w be 2/11 - (-93)/33. Suppose 20 = 4*s - 0*s. Let j = s - w. Solve -5 = j*p - p for p.
-5
Suppose b = -3*j + 44, -j + 3 = -2*b - 7. Suppose -3*u + 3*z = -11 - 4, 0 = -u + 4*z + j. Solve 5*q - u*q = -12 for q.
-4
Let s be (-6)/(1/1 - 4). Solve -w + s = -0 for w.
2
Suppose 2*x - 4*f = 68 - 8, x + 5 = -5*f. Solve 3*o = -o - x for o.
-5
Let v(h) = h - 4. Let d = -27 + 31. Let c be v(d). Solve -u - u + 8 = c | {
"pile_set_name": "DM Mathematics"
} |
-3*a
Let r(f) = -1 - 9*f**2 + 1 + 4*f**2. Let b(k) = -k. Determine b(r(w)).
5*w**2
Let j(p) = -5*p + 4. Let a(l) = -1. Let f(o) = -4*a(o) + j(o). Let z(k) = 3*k - 5. Let t(s) = 5*f(s) + 8*z(s). Let i(n) = 3*n. Determine i(t(v)).
-3*v
Let h(r) = -23744*r**2 + 2. Let a(j) = 2*j. Give h(a(x)).
-94976*x**2 + 2
Let y(u) = u**2. Suppose -7 = -4*l + 1. Suppose -4*s + 24 = l*v, -3*s + 17 = v - 0. Let h(f) = 2*f**2 - 4*f**2 + 2*f**2 - 2*f**v. What is y(h(i))?
4*i**4
Let x(o) = o**2. Let j(m) = -m**2 - 4*m + 2. Let n be j(-4). Let q(f) = 2*f**n + 0 - 2 + 2. What is x(q(c))?
4*c**4
Let a(b) be the third derivative of -7*b**5/60 - 2*b**2. Let i(f) = 3*f**2. What is a(i(d))?
-63*d**4
Let t(v) = v**2. Let k(x) = -278*x**2. Give t(k(b)).
77284*b**4
Let l(b) = 8*b**2 - 2*b - 2. Let z(q) = -23*q**2 + 7*q + 7. Let c(i) = 7*l(i) + 2*z(i). Let g(a) = a**2. Calculate g(c(w)).
100*w**4
Let g(m) = 11*m**2. Let z(o) = 16*o**2 - 12. Let q(p) = p**2 - 1. Let y(a) = 12*q(a) - z(a). Give g(y(u)).
176*u**4
Let u(n) = -8*n. Let p(f) = -2*f**2 - 2. Calculate p(u(j)).
-128*j**2 - 2
Let o(h) = -11*h. Let d(r) = -780*r. Let k(z) = -2*d(z) + 143*o(z). Let m(s) = s**2. Calculate m(k(f)).
169*f**2
Let v(g) = 1. Let r(u) = -3. Let b(k) = 2*r(k) + 7*v(k). Let d(f) = f + 6. Let o(s) = 6*b(s) - d(s). Let h(t) = -7*t**2. What is h(o(m))?
-7*m**2
Let n(p) = -34*p**2. Let y(g) = 4*g. What is y(n(x))?
-136*x**2
Let s(r) = 2*r**2. Let u be (-1 - -3)*(2 + -1). Let q(a) = 0 + 0 + 8*a**2 + 2*a - 6*a**2. Let p(l) = 10*l**2 + 11*l. Let g(z) = u*p(z) - 11*q(z). Give g(s(h)).
-8*h**4
Let k(d) = 3*d**2 + 9*d**2 - 11*d**2. Let u(f) = 24*f**2. Give u(k(p)).
24*p**4
Let t(p) = -p. Let m(w) = 75*w. Determine t(m(n)).
-75*n
Let s(z) = 49*z. Let g(w) = 9*w**2. What is s(g(d))?
441*d**2
Let s(a) be the third derivative of a**4/24 + 13*a**2. Let m(o) = -49*o**2. What is m(s(g))?
-49*g**2
Let d(r) = -4*r + 36. Let k(g) = 2*g. Determine d(k(q)).
-8*q + 36
Let f(i) = -11*i**2. Let k(s) be the third derivative of s**5/60 + 10*s**2. Calculate f(k(w)).
-11*w**4
Let p(u) = -u**2. Let c = 0 + -4. Let t(l) = -3*l**2 - 2*l. Let x(y) = -7*y**2 - 5*y. Let w(i) = c*x(i) + 10*t(i). Determine w(p(s)).
-2*s**4
Let b(i) = i. Let n(l) = -502*l. Determine b(n(k)).
-502*k
Let i(h) = 1272*h + 2. Let y(q) = -2*q. Determine i(y(a)).
-2544*a + 2
Let f(h) be the third derivative of h**5/60 - 8*h**2. Let d(s) = -5*s - 2. Let x(o) = -25*o - 11. Let t(z) = -11*d(z) + 2*x(z). Calculate t(f(u)).
5*u**2
Let g(i) = 12*i - 9*i - 8*i. Let o(m) = m**2 + 4*m - 4*m + 0*m. What is o(g(d))?
25*d**2
Let w(m) = -28*m**2 - 3*m. Let s(h) = 15*h**2. Give w(s(l)).
-6300*l**4 - 45*l**2
Let p(i) = -5*i**2 + 4*i**2 - 1842 + 1842. Let c(r) = -49*r. What is c(p(b))?
49*b**2
Let a(x) = -x**2. Let b(k) be the second derivative of -k**4/6 + 7*k. Give b(a(s)).
-2*s**4
Let a(p) be the third derivative of p**8/6720 + p**5/30 - p**2. Let b(j) be the third derivative of a(j). Let u(c) = 2*c**2. Calculate b(u(m)).
12*m**4
Let j(i) = -i**2 - 33*i. Let d(f) = -180*f. Give d(j(n)).
180*n**2 + 5940*n
Let a(f) = -3*f - 3. Let q(r) = 21*r**2 - 13*r**2 - 9*r**2. Determine a(q(p)).
3*p**2 - 3
Let l(u) = -49*u. Let b(p) = 9*p**2. Calculate b(l(h)).
21609*h**2
Let v(t) = 2*t - t - 4*t. Let w = -20 - -29. Let r(x) = x + 10*x - w*x. Give r(v(f)).
-6*f
Let h(a) = -a. Let n(z) be the third derivative of z**5/15 + 5*z**2. Give n(h(s)).
4*s**2
Let u(j) = 37*j**2. Let z(h) = 4*h**2. Calculate u(z(a)).
592*a**4
Let r(o) = o. Let v(q) = -9 - 21*q + 22*q - 45. Calculate v(r(m)).
m - 54
Let r(j) = 11*j. Let x(i) = 7*i**2 + 8*i. Give x(r(t)).
847*t**2 + 88*t
Let g(h) = 5*h**2 + 2*h. Let p(w) = 5*w**2 + 3*w. Suppose -3*v - 2*v - 10 = 0. Let j(s) = v*p(s) + 3*g(s). Let b(m) = m. Give b(j(c)).
5*c**2
Suppose 6 - 18 = -3*j. Let s(k) be the second derivative of 0*k**3 + 0*k**2 + 2*k + 0 + 1/12*k**j. Let c(g) = -g**2. What is s(c(w))?
w**4
Let v(a) be the first derivative of 5*a**3/3 + 60. Let g(s) = -6*s**2. Calculate g(v(i)).
-150*i**4
Let k(m) = -m. Let g(j) = -8918*j. What is g(k(f))?
8918*f
Let g(t) = 7*t**2. Let z(k) = 2*k**2 + 5. Let r(c) = -3*c**2 - 7. Let l be (-7 - -2)/(0 + -1). Let d(v) = l*r(v) + 7*z(v). Calculate d(g(q)).
-49*q**4
Let t(q) = 18 - 18 + q. Let s(k) = -k. Let c(o) = -4*o. Let l(r) = -2*c(r) + 6*s(r). Calculate t(l(i)).
2*i
Let k(p) = 2*p. Let g(i) be the first derivative of -5*i**2 + 9. Determine k(g(y)).
-20*y
Let j(g) = -2*g. Let n(s) = 4*s**2 - 22*s. What is n(j(f))?
16*f**2 + 44*f
Let m(g) be the third derivative of -1/12*g**4 + 0*g**3 + 0 + 4*g**2 + 0*g. Let c(y) = 2*y**2. Determine m(c(h)).
-4*h**2
Let s(x) be the second derivative of -x**3/3 - 5*x. Suppose -3*k + 15 = 2*k. Let y(r) = k*r**2 - r**2 + 2*r**2. Give y(s(l)).
16*l**2
Let y(z) = 2*z. Let c(f) = 5*f**2 - 115*f. Give y(c(w)).
10*w**2 - 230*w
Let r(y) = 3*y**2. Let f(s) = 8*s + 28. Let l(w) = 2. Let u(x) = -2*f(x) + 28*l(x). Determine u(r(m)).
-48*m**2
Let v(z) = 3*z. Let h(l) = 4*l**2 + 4*l. Let i(m) = 4*m**2 + 3*m. Let n(o) = 6*h(o) - 8*i(o). What is v(n(d))?
-24*d**2
Let d(g) = 3*g**2 + 18. Let m(i) = -2*i + 40. Give d(m(k)).
12*k**2 - 480*k + 4818
Let b(z) = 0*z - 3*z**2 + 0*z. Let k(j) = 3*j. Suppose -3*g = -2*x - 23, 3 = g - 2*x - 6. Let p(w) = 10*w. Let l(i) = g*k(i) - 2*p(i). Give l(b(f)).
-3*f**2
Let k(z) = -z**2. Let o(u) be the first derivative of 5*u**2/2 + 6. Calculate k(o(h)).
-25*h**2
Let p(f) be the first derivative of -f**2/2 - 5. Let c(m) = -4*m**2. What is c(p(w))?
-4*w**2
Let x(g) be the third derivative of g**4/24 + g**2. Let a(w) be the first derivative of 0*w + 1/3*w**3 - 1 + 0*w**2. Calculate x(a(u)).
u**2
Let m(g) = -12*g**2. Let i(c) = -c + 2. Determine m(i(p)).
-12*p**2 + 48*p - 48
Let z(y) = -y. Suppose -t + 4 = 5*s - 5, -s + 3 = -t. Let h(v) = 2*v**2 - 5*v**s + 5*v**2. Calculate z(h(p)).
-2*p**2
Let n(h) = h. Let v(s) = s + 2. Let t(g) = 6*g + 13. Suppose -5*p = -i - 80 - 112, -i = 3*p - 120. Let w(l) = p*v(l) - 6*t(l). What is w(n(d))?
3*d
Let w(m) = -m**2 + 10*m - 13. Let f be w(9). Let v(d) = -2*d + 5. Let j(z) = -2*z + 4. Let g(k) = f*v(k) + 5*j(k). Let n(b) = -b. Determine g(n(q)).
2*q
Let u(c) be the second derivative of c**6/360 - c**4/12 + 4*c. Let g(p) be the third derivative of u(p). Let f(x) = 2*x**2. Give f(g(v)).
8*v**2
Let m(f) = 0 + 0 + f**2. Let v(u) = -1 + 1 - 4*u**2. Determine v(m(s)).
-4*s**4
Let k(h) = -2*h + 1. Let p(m) = -m + 1. Suppose -5*o + y - 9 = 0, o + 2*o + 2*y = 5. Let d(q) = o*p(q) + k(q). Let l(f) = -f + 3 - 8 + 5. Determine l(d(g)).
g
Let i be -2 - (2 + 1 + -8). Suppose 3*k = -t + 14, 12 = -i*t + 4*k + 2. Let y(r) = -t*r + 3*r + r. Let u(a) = 4*a. What is u(y(h))?
8*h
Let h(y) = -69*y**2 + 21*y - 21. Let v(m) = -17*m**2 + 5*m - 5. Let d(s) = -5*h(s) + 21*v(s). Let i(k) = 3*k. Give i(d(w)).
-36*w**2
Let j(u) = -1. Let l(o) = o + 1. Let m(z) = j(z) + l(z). Let g(q) be the first derivative of 0*q - 1/2*q**2 - 3. Calculate m(g(y)).
-y
Let r(j) = 0*j + 3*j + 16*j**2 - 3*j. Let b(t) = -3*t**2. Give b(r(w)).
-768*w**4
Let o(j) = 9*j - 5. Let i(s) = -s. Calculate i(o(t)).
-9*t + 5
Let c(f) = -5*f. Let g(v) = 7*v. Determine c(g(k)).
-35*k
Let q(x) = -73*x + 1. Let g(m) = -2*m**2. Give g(q(w)).
-10658*w**2 + 292*w - 2
Let v(h) = -2*h**2. Let p(z) = -1785*z. Determine v(p(j)).
-6372450*j**2
Let z(r) = -2*r. Let x(t) be the third derivative of -1/30*t**5 + 0*t + 0*t**3 + 0 - 3*t**2 + 0*t**4. Give z(x(g)).
4*g**2
Let q = -3 - -1. Let f(y) = 2*y + 2. Let p(j) = -j**2 - 11*j - 11. Let b(l) = q*p(l) - 11*f(l). Let g(m) = 2*m - 3*m - m. Determine g(b(v)).
-4*v**2
Suppose -5 = -5*n + 4*n. Suppose 21 = 3*z + 3*q, 0*z - n*q = -3*z - 11. Let d(g) = 2*g**2 + 3*g**2 - z*g**2. Let u(c) = 2*c. Calculate u(d(o)).
4*o**2
Let y(b) = 3*b - 4. Let z(g) = 19*g**2. What is z(y(l))?
171*l**2 - 456*l + 304
Let b(z) be the second derivative of -z**4/4 + 12*z. Let a(q) = -6*q**2. Calculate b(a(y)).
-108*y**4
Let n(y) be the second derivative of 0*y**2 - 5/6*y**4 + 0 - 3*y + 0*y**3. Let w(x) = -x. Give w(n(h)).
10*h**2
Let g(c) = 9*c. Let n(q) = -q**2 + 2*q - 2. Let a(h) = h - 1. Let s(y) = -2*a(y) + n(y). What is s(g(w))?
-81*w**2
Let j(h) = 5*h**2. Let q(m) = -3*m**2 + 37. Give q(j(n)).
-75*n**4 + 37
Let k(m) = 2*m**2. Let n be (0 - 1) + (-1)/(-1). Let h = n + 2. Le | {
"pile_set_name": "DM Mathematics"
} |
the terms in -29281*n**2 + 14238*n**2 + 14515*n**2.
-528*n**2
Collect the terms in -258*y + 1 - 386*y + 12 - 88*y.
-732*y + 13
Collect the terms in 387 - 130*x - 195 - 192 + 61*x + 67*x.
-2*x
Collect the terms in 255*w**3 + 718*w + 716*w - 1917*w + 483*w.
255*w**3
Collect the terms in -3*t**2 + 2*t**2 + 258*t - 5*t**2 + 493*t - 751*t.
-6*t**2
Collect the terms in 3519874 + 3519897 - 7039771 + j**3.
j**3
Collect the terms in 7*u + 30 - 4*u + 756 + u.
4*u + 786
Collect the terms in 4920*c - 34688*c + 2 - 2 - 21815*c.
-51583*c
Collect the terms in 235*o + 681*o**2 + 386*o**2 - 35*o**2 + o**3 - 248*o.
o**3 + 1032*o**2 - 13*o
Collect the terms in -q**3 + 4*q**3 - 6*q**3 - 348 - 161 + 5*q**3.
2*q**3 - 509
Collect the terms in 2428862*b - 9715488*b + 2428868*b + 2428868*b + 2428870*b.
-20*b
Collect the terms in 529972326*k + 1530 - 529972326*k - k**2.
-k**2 + 1530
Collect the terms in 8 + 8 - 53755*a - 13 + 54378*a.
623*a + 3
Collect the terms in 172430*n + 25791*n + 102976*n - 56597*n.
244600*n
Collect the terms in 4*k**2 + 221 + 2*k**2 - 4*k**2 + 0*k**2 - 4*k**2 + 8*k**2.
6*k**2 + 221
Collect the terms in 2*x + 7*x**3 + 6*x - 8*x - 2*x**3 + 1346*x**2 - 1358*x**2.
5*x**3 - 12*x**2
Collect the terms in -559 + 1205 + 3*g - 377 - 471.
3*g - 202
Collect the terms in -32289 + 32289 + 90879*x**2.
90879*x**2
Collect the terms in 59270*m - 30200*m - 46602*m.
-17532*m
Collect the terms in -15215*m**2 - 2 + 4 - 2 - 47*m**3 + 45*m**3.
-2*m**3 - 15215*m**2
Collect the terms in 1541884*k**3 - 3084431*k**3 + 1541997*k**3.
-550*k**3
Collect the terms in 3 - 3126368400*i + 3126368439*i - 3 - 2.
39*i - 2
Collect the terms in -78 - 782*o**2 + 782*o**2 + 110 + 26*o**3.
26*o**3 + 32
Collect the terms in -4*y**2 + 0*y**2 - 3 + 921022*y + 3 + 2*y**2 - 920885*y.
-2*y**2 + 137*y
Collect the terms in 92*x - 128*x**2 + 5660 - 168*x + 76*x - x**3 - 5660.
-x**3 - 128*x**2
Collect the terms in 2158*i**2 - 4273*i**2 + 3*i**3 + 15 + 2114*i**2.
3*i**3 - i**2 + 15
Collect the terms in 51 - 158 + 57 - 1003*o**2 + 51*o**2 + 50.
-952*o**2
Collect the terms in -32827*k**3 - 70610*k**3 + 2997*k**3 - 24790*k**3.
-125230*k**3
Collect the terms in 2*u + 63 + 61 - 148 + 24 - 6*u.
-4*u
Collect the terms in 5530848614 - 5530848614 - 2*c**3 - 13*c**2.
-2*c**3 - 13*c**2
Collect the terms in -56139*m + 28235*m + 28063*m.
159*m
Collect the terms in -4*k**2 - 7*k**3 + k**2 - 14*k**3 + 6227140 - 6227140.
-21*k**3 - 3*k**2
Collect the terms in 18 - 47*i**2 - 8 + 48*i**2 + 66550*i - 10.
i**2 + 66550*i
Collect the terms in 4469*c**3 + 73*c**2 - 8307*c**3 + 3841*c**3 - 73*c**2.
3*c**3
Collect the terms in 0 - 155*q + 195*q + 5 + 714*q + 132*q.
886*q + 5
Collect the terms in 11*p**3 - 14*p**3 + 3*p - p - 230 + 230 + 28*p**3.
25*p**3 + 2*p
Collect the terms in 2843135735*r + 54*r**3 - 2843135735*r - 52*r**3.
2*r**3
Collect the terms in 6363*f - 9442*f - 4 + 4 - 7570*f.
-10649*f
Collect the terms in 25425*n**3 - 362427*n**3 + 337003*n**3.
n**3
Collect the terms in 4310647*t + 5 - 3 - 2 - 4310552*t.
95*t
Collect the terms in -46*l + 11*l**2 + 24*l**2 + 12*l**2 + 0*l**2 + 2*l**2.
49*l**2 - 46*l
Collect the terms in -2947*m**3 + 6625*m**3 + 3427*m**3 + 7302*m**3 - 1768*m**3.
12639*m**3
Collect the terms in 2 - 33*q + 1 - 7 + 4 + 0 - 3.
-33*q - 3
Collect the terms in -11*o - 14*o + 5 + o**2 - 5*o + 5*o + 0*o**2.
o**2 - 25*o + 5
Collect the terms in 12849790*p - 12849790*p - 52*p**2.
-52*p**2
Collect the terms in x + 167*x**3 - 50*x**3 + 3*x - 79*x**3.
38*x**3 + 4*x
Collect the terms in 664597946 - m - 664597943 + m - 87*m**3.
-87*m**3 + 3
Collect the terms in -3491356*l**3 - 2223276*l**3 - 3365881*l**3.
-9080513*l**3
Collect the terms in 6849*o**2 - 27460*o**2 + 6905*o**2 + 6906*o**2 + 6867*o**2.
67*o**2
Collect the terms in 5 - 3 - 190240*f + 380297*f - 190022*f - 2.
35*f
Collect the terms in 182788*x - 365306*x + 182516*x.
-2*x
Collect the terms in 411 - 229 + 479*r - 181.
479*r + 1
Collect the terms in 6237*l + 105*l**3 + 6241*l + 77*l**3 - 18723*l + 6245*l - 157*l**3.
25*l**3
Collect the terms in -38359 + 8*s**2 - 8*s**2 + 38355 - 2*s**3.
-2*s**3 - 4
Collect the terms in 1410960*w + 39*w**2 + 1411048*w - 2 - 2822008*w.
39*w**2 - 2
Collect the terms in 4723*p**2 - 12 + 12 + 4994*p**2 - 9727*p**2.
-10*p**2
Collect the terms in 8367*l**2 - 16742*l**2 + 8375*l**2 + 32*l + 3*l**3.
3*l**3 + 32*l
Collect the terms in 350*t - 251*t**2 + 344*t + 350*t + 18*t**2 - 1044*t.
-233*t**2
Collect the terms in 6*k**2 + 455 + 106 + k - 2*k**2.
4*k**2 + k + 561
Collect the terms in -4 - 15 - 125*o - 14 + 43 - 10.
-125*o
Collect the terms in 4*d**2 + 305747*d + 498077*d + 2*d**3 + d**3 - 2*d**3.
d**3 + 4*d**2 + 803824*d
Collect the terms in 361*v + 310*v - 578*v.
93*v
Collect the terms in -18404*a + 36875*a + 3*a**3 - 18471*a - 4*a**3 + 3*a**3.
2*a**3
Collect the terms in 12357*h**2 + 5*h**3 - 9*h**3 - 12167*h**2.
-4*h**3 + 190*h**2
Collect the terms in 33713*v**2 - 16847*v**2 - 16833*v**2.
33*v**2
Collect the terms in 1 + 2862655932*h + 1 - 2862655914*h.
18*h + 2
Collect the terms in -5378054 + 2689031 + 2*r**2 + 2689007.
2*r**2 - 16
Collect the terms in -75*t + 166*t + 482*t + 1801 - 1801.
573*t
Collect the terms in -288*i - 77*i**2 + 7*i**2 + 49*i + 175*i + 64*i.
-70*i**2
Collect the terms in -7118*w + 233*w + 2337*w - 5706*w - 860*w.
-11114*w
Collect the terms in 134584*t**2 - t + 2 - 2 + 3*t + 2.
134584*t**2 + 2*t + 2
Collect the terms in -46784*w + 0*w**3 + w**3 + 46785*w - 1301*w**2.
w**3 - 1301*w**2 + w
Collect the terms in 0*g**2 - 7 - 94*g + 84*g - 88*g + g**2 - 52*g.
g**2 - 150*g - 7
Collect the terms in 267 + 42384*f**3 - 267.
42384*f**3
Collect the terms in -1491*j**2 + 22*j + 116*j - 20*j.
-1491*j**2 + 118*j
Collect the terms in -197*t**2 - 191*t**2 + 390*t**2 - 628616*t**3.
-628616*t**3 + 2*t**2
Collect the terms in 0*b + 4163*b**3 - 533*b**3 - 6*b + 965*b**3 + 6*b.
4595*b**3
Collect the terms in -20350*n**3 + 10201*n**3 + 10173*n**3 - 183 + 183.
24*n**3
Collect the terms in -4 - 2242*x**3 + 2236*x**3 + 4 + 640*x.
-6*x**3 + 640*x
Collect the terms in 745 + 8*l - l - 16.
7*l + 729
Collect the terms in -37 + 300*t + 16 + 20 + 112*t - 2*t**2.
-2*t**2 + 412*t - 1
Collect the terms in -13*p**2 + 1176 - 8583 + 5*p**2.
-8*p**2 - 7407
Collect the terms in -44 - 43 - 704*m + 51 - 234*m + 36.
-938*m
Collect the terms in -11*k + 2 - 46*k**3 + 86*k**3 - 2 + 6*k**2 - 44*k**3.
-4*k**3 + 6*k**2 - 11*k
Collect the terms in 630404 + 18*j - 630527 - 16*j.
2*j - 123
Collect the terms in -4997*j**3 - 5011*j**3 - 5019*j**3 - 5019*j**3 + 20052*j**3.
6*j**3
Collect the terms in -o - 80 - 96 - 7*o + 11*o + 0*o + 198.
3*o + 22
Collect the terms in -1378*j + 352*j + 622*j + 3*j**2 + 404*j - 2*j**2.
j**2
Collect the terms in -172 - 174*g + 730*g + 453*g + 172.
1009*g
Collect the terms in 198 + 3*m + 5771*m**2 - 5776*m**2 + 185 + 0*m.
-5*m**2 + 3*m + 383
Collect the terms in -13*h**2 - 3*h**2 + 5*h - 11*h**2 + 0*h**2 - 5930*h**3.
-5930*h**3 - 27*h**2 + 5*h
Collect the terms in -2 + 2 + 16*s**2 - 282*s + 26*s**2 + 278*s + 5*s**2.
47*s**2 - 4*s
Collect the terms in 3287907090*d - 3287907090*d + 18*d**3 + 9*d**2.
18*d**3 + 9*d**2
Collect the terms in -2*v**3 - 7792*v - 10371*v - 1 - 7877*v + 1 + 26040*v.
-2*v**3
Collect the terms in 2 + 11*f + 39*f + 133 + 118.
50*f + 253
Collect the terms in 2*f**3 + 57923 - 57923 + 693*f.
2*f**3 + 693*f
Collect the terms in 620594*w**2 - 103*w**3 + 114*w**3 - 96*w**3 - 620594*w**2 - 131*w**3.
-216*w**3
Collect the terms in 513171*y + 513180*y - 1539521*y + 513182*y.
12*y
Collect the terms in 16 - 3*r**3 - 88 + 16 - 101*r + 56 + 319*r.
-3*r**3 + 218*r
Collect the terms in 168182*o**2 - 504538*o**2 + 168154*o**2 + 168173*o**2.
-29*o**2
Collect the terms in -5*h + 77 - 162 + 80 - h - 7*h.
-13*h - 5
Collect the terms in 29 - 448*z - 6*z**2 - 415*z - 63 + 34 + 863*z.
-6*z**2
Collect the terms in -5 - 8464*f**3 + 29 - 24.
-8464*f**3
Collect the terms in 102*s**2 - 42*s**2 + 1 + 2 - 99*s**2.
-39*s**2 + 3
Collect the terms in -28*p**3 - 171*p**3 - 269*p**3 - 597*p**3 - 615*p**3.
-1680*p**3
Collect the terms in -4176699*f + 6314*f**3 - 6319*f**3 + 4176699*f.
-5*f**3
Collect the terms in 42 - 6464*d + 6465*d + 59.
d + 101
Collect the terms in 2738 - 997 + 31763 - 3*v + v.
-2*v + 33504
Collect the terms in 1129* | {
"pile_set_name": "DM Mathematics"
} |
Which is smaller: u or -2?
-2
Let c = 2/67 - 481/402. Suppose 0 = 2*r - 6*r. Is r at most as big as c?
False
Let g = -0.4 - -1.4. Let z = -1 + g. Let o = z + -0.1. Which is smaller: -3 or o?
-3
Let u(b) = b**2 + 5*b + 6. Let m(a) = -a + 8. Let n be m(5). Let i = n - 7. Let v be u(i). Is v at least 2?
True
Let l = 1.92 + 1.16. Let c = 0.08 - l. Let i = 221 + -221. Which is bigger: c or i?
i
Suppose 5*l - 5*x - 11 = 74, l + 3*x - 25 = 0. Is l < 17?
False
Let c = 1 - 1. Suppose c = 6*f - f - 5. Is f at most 0?
False
Let p = 11 + -13. Do p and -5/6 have the same value?
False
Let d = -12.17 - -0.17. Are d and 2/7 nonequal?
True
Let f be (-6)/(9/2 + -3). Let g be 2/f*(-8)/20. Is -1 greater than or equal to g?
False
Let w = 22 - 21.9. Let c be (-20)/24*(-6)/(-4). Is w <= c?
False
Let t = -10 + 12. Let c be 2/(-60) - 3/(-15). Which is smaller: t or c?
c
Let m(c) = -c**2 + 1. Let a be m(1). Suppose -3*u + 0*u - 3 = a. Is -2/53 equal to u?
False
Let h = 0 - 8. Let c(t) = -t**3 - 5*t**2 - t - 12. Let y be c(-5). Which is smaller: h or y?
h
Let k = -0.6 + -3.4. Let s = k + 1. Let h = 3 + s. Which is smaller: h or -1?
-1
Let y(w) = w**3 - 4*w**2 + 2*w - 6. Let u be y(4). Suppose 0 = u*f - 6*f - 56. Let j be (-22)/(-28) + 4/f. Which is bigger: j or 0.1?
j
Suppose 2*g = 5*z + 2, z + 5*g = -0*z + 5. Let k = 7 - 4. Let w be (-2)/6 + (-2)/k. Which is greater: w or z?
z
Suppose 3*k + 0*k = -2*x - 10, x + 6 = -2*k. Are x and -1/9 equal?
False
Let f = 3 + 6. Let v = 16 - f. Suppose 5*h - 8 = j, -v = -2*h + j - 2. Which is smaller: h or 2?
h
Let w be -3 - 4/(12/(-33)). Let d be (w/36)/(2/(-1)). Suppose 0 = 5*c, -3*z + 2 = -c - 1. Is z less than d?
False
Let j be (-4)/30 + 85/75. Does 6/5 = j?
False
Let d(f) = -f**2 - 10*f - 3. Let p(q) = -3*q**2 - 29*q - 9. Let h(s) = 17*d(s) - 6*p(s). Let i be h(-2). Let t = -0.5 + 0.5. Which is smaller: i or t?
i
Suppose -663 = -15*w - 2178. Is -101 less than w?
False
Let d = 949/28 + -190/7. Which is greater: d or 6?
d
Let k = -3 - 1. Let l = 18 - 14. Let d = k + l. Is d less than or equal to -3/5?
False
Suppose -4*o + 0*o - 4 = 0. Suppose 4*n = n - 72. Let b = 143/6 + n. Which is greater: b or o?
b
Let p = -3.7 + -3.3. Which is smaller: 0.2 or p?
p
Suppose -1 + 6 = q. Let n = 3 - 1. Suppose q*u - n*u + 21 = 0. Is 0.1 at least as big as u?
True
Suppose 5*b - 14 = -10*r + 13*r, -2*r - 5*b + 24 = 0. Let j = -0.4 + 0.3. Which is greater: j or r?
r
Suppose 5*i - 5 = 0, 13 = -0*d - 4*d + 5*i. Let s be ((-5)/(5/2))/d. Is 1 greater than s?
False
Let c = 14 - 13. Is c smaller than 4/45?
False
Let g = -3/46 - 17/92. Let f = -10 - -12. Let q = -5 + f. Which is smaller: q or g?
q
Suppose 5*r = -0*b + 3*b - 2, 3*b - 4*r - 4 = 0. Suppose -p - 2 = -5*k - 0, 0 = b*k + 3*p - 13. Is -1/8 smaller than k?
True
Suppose -j - 7 = 3*y, -23 = -4*j + 3*y + 2*y. Let u be 15/(-4) + j/(-8). Is u < -4?
False
Let r = 113 - 105. Which is smaller: r or 1?
1
Let a be 17*(3 - (7 + -3)). Is -18 < a?
True
Let k = 1 + -8. Let u = -6 - k. Which is smaller: u or 0?
0
Suppose -20 = 4*f, 3*f = 2*z - 2*f + 3. Let j be (-7)/z - 1/2. Which is smaller: 1 or j?
j
Let d = 1 + -9. Let c be 1 - -2 - (-6 - d). Let z = -6/5 - -23/15. Which is smaller: c or z?
z
Let y(s) = s**3 - 4*s**2 + 4*s + 1. Let n be y(3). Suppose -2*c - n = -4*c. Let m be 2/(-8) - c/(-8). Which is bigger: -2 or m?
m
Let f(i) = i**3 + i + 2. Let p be f(-1). Does -3/5 = p?
False
Let j be (4/(-5))/(11/(-275)). Is 20 at least j?
True
Suppose -6*w = -2*w + 8. Let c = -6 - -6.3. Which is bigger: w or c?
c
Let g be (5/25)/(3/465). Is g > 29?
True
Suppose 3*t = -4*r + 6*r - 54, -r - 45 = 3*t. Do t and -16 have the same value?
True
Let c be -1*(-1 + 5) + 1422/356. Which is smaller: 1 or c?
c
Let y(k) = 5*k + 7. Suppose -20*t = -15*t + 15. Let b be y(t). Which is greater: b or -9?
b
Let s(l) = l. Let o be s(2). Is o at least as big as -20/9?
True
Let r = -2.2 + 3.2. Which is bigger: r or -7?
r
Let w = -131.4 - -173. Let p = -38 + w. Let i = -0.6 + p. Which is greater: i or 1?
i
Suppose -2*v + 3*b - 3 = 0, -1 = 2*v - 0*v - b. Let x be (-359)/(-6) + 1/6. Let t be (-39)/x - 2/(-8). Is t less than or equal to v?
True
Let p(m) = m**3 - 4*m**2 - 8*m + 6. Let y be p(5). Let g = y + 12. Are 5/2 and g equal?
False
Let r = -0.3 - 0.1. Let t = 3 + -3.3. Let l = t - r. Is -1 greater than or equal to l?
False
Let b be 21/(-2)*48/(-28). Let x be (-8)/(-12)*b/(-4). Let h be 1/(((-9)/(-3))/(-9)). Is x smaller than h?
False
Let r = -14/533 + -2344/32513. Is -1 greater than or equal to r?
False
Let p = -1488/7 - -213. Suppose -3*n + q + 0 = -9, 0 = n - 3*q - 3. Suppose n*a + 1 = 2*f, -7 = 4*f - f + 4*a. Is f smaller than p?
True
Let y = 4 + -3. Let l be (-4)/(-6) + 34/(-36). Let j = l + -11/90. Which is smaller: j or y?
j
Let z = 0.9 - 0.8. Is z >= -29?
True
Let g be (3/12)/(30/(-8)). Which is bigger: 0 or g?
0
Let z be ((3 - 0) + -1)*1. Suppose 0 = 2*v + 5*k + 7, v + 0*k = -3*k - 4. Let g be (-6)/(-20)*(3 + v). Are z and g nonequal?
True
Let b = 0 + 7. Suppose 0 = 5*k + 3 + b. Is -2 equal to k?
True
Let m = -6 + 1. Let d be -3 - m - 2/1. Suppose -2*r + 5 + 1 = d. Which is smaller: r or 4?
r
Suppose -6 = 5*g - 26. Which is greater: 0.02 or g?
g
Let r = 38 - 77/2. Let u be (-2)/8 + (-14)/8. Is u > r?
False
Let v = 150 + -2399/16. Do v and 0.1 have different values?
True
Let i(u) = -u**3 + 7*u**2 + 6*u + 19. Let y be i(8). Let d be 84/(-9) - (-1)/y. Is d < -10?
False
Let t = 5.1 - 5. Suppose -c + 3*c = 8. Let j be (-1)/c*-2*0. Which is smaller: t or j?
j
Let v be -2 - (-6 + 0 + 1). Let n(g) = g**2 - g. Let r be n(1). Suppose r*z = -3*b + 3*z + 6, 5*b - 19 = -4*z. Does v = b?
True
Let h = -34 - -32.7. Let m = h - 7.7. Which is smaller: 0 or m?
m
Let s = -50 - -53. Let u = 3 - 5. Let l = u + s. Are l and -1 non-equal?
True
Let d(y) = -y**3 - 7*y**2 + 9*y + 3. Let o be d(-8). Let p be 1*3 + -3 + o. Is p equal to -5?
True
Let r = -0.19 + -0.06. Is 0.1 less than r?
False
Let q = -0.4 - 0.4. Let b = q - -1. Is -1/5 >= b?
False
Let w be -3 - (1 + -1 + -3). Let l be (w + 0)/(-1) + -4. Let n(z) = 3*z + 3. Let o be n(-2). Which is bigger: l or o?
o
Let x = 3/365 + 4646/12045. Let q = -2/33 + x. Is q not equal to 3/5?
True
Let m = 3 - 2. Let y be -3 + m + (-8)/(-5). Let o = -2 + 2. Is o <= y?
False
Suppose -4*q + 108 = q - 3*k, 2*k = 3*q - 64. Let o be 7/(-21) - (-14)/q. Is 0 at most as big as o?
True
Let i(b) = -b**2 + 13*b + 7. Let o be i(14). Is o less than -1/4?
True
Let d be (1 - 3 - -4)/(-13). Which is bigger: 0.04 or d?
0.04
Let i = 1/47 - 335/282. Let w = i - -2/3. Is -0.06 equal to w?
False
Let n = -1/150 + -89/150. Which is bigger: n or 1?
1
Let r = -10 + 6. Let c be (r/6)/((-3)/27). Which is greater: 5 or c?
c
Let l be (-952)/(-15) - 2/3. Let h = 62 - l. Suppose 45*i + 2 = 43*i. Is i bigger than h?
False
Let t(b) = b**2 + 3*b - 4. Let v be t(-3). Is v equal to -4?
True
Suppose 20 = 4*q - 0. Let t = q - 2. Which is greater: t or 2?
t
Let w(q) = -q**2 - q + 4. Let x be w(0). Suppose 2*u + 2*m = 26, x*u - m + 12 - 44 = 0. Let v be ((-2)/(-3))/((-6)/u). Are v and 0 equal?
False
Let x = -405/494 - -11/13. Let j = x + -155/3002. Which is smaller: j or 1?
j
Suppose -3*g - 16 = 2*c - 7, 0 = 3*c - 4*g - 12. Let f be 1/(-2)*c - -2. Let n(k) = k**3 - 3*k**2 + 2*k. Let v be n(f). Is v at most as big as 0?
True
Let h(w) = w**3 + 5*w**2 - 7*w - 5. Let m be h(-6). Let u be 5 + -2 + m + 0. Which is smaller: u or 3?
3
Let g = -91 + 49. Which is bigger: g or -44?
g
Let z be 12/(-3) + (-8)/((-32)/12). Is z < -2?
False
Let p = 384 - 3837/10. Is 1 smaller than p?
False
Let w(q) = -q**2 - 7*q - 6. Let j be w(-6). Suppose 2*s - 5*m + 8 = s, m - 6 = -2*s. Let r be ((-1)/(-1))/((-8)/s). Which is greater: r or j?
j
Let u = 0 + 2. Let v = -1 + u. Let r = v - 1.1. Is -1 greater than r?
False
Suppose 5*f - 6 = -x, -f = -x - 0*x. Is 3/10 at most f?
True
Let k be (-4)/6 - 16/3. Let s = -9 - k. Does 0.2 = s?
False
Let r = 10 + -10. Do r and -2/21 have different values?
True
Let w be 58/(-208) - ((-76)/(-13) + -6). Let n = 2.03 - 0.03. Which is greater: n or w?
n
Let j(h) = h**3 - h**2 - h. Let w be 328/28 - (-4)/14. Suppose -5*f = u + w - 1, -3*u + 5*f = -7. Let q be j(u). Is 1 bigger than q?
True
Let x be ((-3)/(-5))/((-1)/(-5)). Suppose b - s + 1 = 0, 5*s + x | {
"pile_set_name": "DM Mathematics"
} |
b - 3*i = 6. Let c be -20*(-2)/2*b. Solve l*o - c = 6*o for o.
-5
Let s(x) = -x**3 - 5*x**2 - 3*x + 4. Let q be s(-4). Suppose -5*r + q = -25. Solve r*d = 2*d + 6 for d.
2
Suppose -15 = -3*i - 0*i. Solve -26 + 1 = -i*c for c.
5
Suppose -g + 3*g = -4. Let q(z) = 6*z**2 + 2*z + 1. Let p be q(g). Suppose p = 3*s - 6. Solve -2*m - m = -s for m.
3
Let v = -28 - -28. Solve v*f = -4*f - 4 for f.
-1
Let t = 0 - 0. Suppose t = -q + 12 - 38. Let u be (-8)/44 + q/(-22). Solve 0 = 3*x - 4*x + u for x.
1
Let d = 8 - 3. Suppose -d*i - 4*k = -76, 3*k = i - 0*k. Solve t - i = -2*t for t.
4
Suppose 0 = -4*o + 9 - 1. Suppose o*k = 6*k - 12. Let y(v) = v + 2. Let m be y(k). Solve m*h - 3*h = 10 for h.
5
Let i = 6 + -4. Suppose 0 = x - 19 + i. Suppose -5*u = 4*g - 0 - 12, -2*u = 2*g - 6. Solve -3*h - 2 + x = u for h.
5
Suppose -1 = 3*z - 10. Suppose 0 = f - 2*f + 2, -z*o - f + 17 = 0. Solve 0 = -s + o*s for s.
0
Let a(m) = -m + 3. Let u be a(2). Solve 0 = -3*s - u + 4 for s.
1
Let r(n) = n**2 - 6. Let k be r(-3). Solve k*p + 3 = -3 for p.
-2
Suppose -3*w + 14 = -4. Let k = -1 + w. Suppose -k - 1 = -2*p. Solve 7*t + 8 = p*t for t.
-2
Let x(r) = -r**2 - 24*r - 40. Let f be x(-22). Solve o = f*o + 15 for o.
-5
Suppose 3*o = -o - 4, -4*o - 22 = 3*j. Suppose 8*s + 1 = -7. Let q be (-5 - j)/(0 - s). Solve -v = 3 - q for v.
-2
Suppose t - 3 = -2*t. Let y be (-2 - (-3 + 0))*t. Solve 4*r = y + 3 for r.
1
Let w(r) = r**3 + 4*r**2 + 4*r. Let h be w(-3). Let k = 5 + h. Let u = 22 + -15. Solve -k*i = u - 1 for i.
-3
Let j = -1 - -4. Let r(s) = -5*s + j*s - 2*s**2 + 3*s**2 + 0*s**2 - 1. Let m be r(-1). Solve -4 + m = -2*q for q.
1
Let x = 7 - 6. Solve 7 = 2*f + x for f.
3
Let q(f) = f + 9. Let w be q(-6). Let l(a) = a**2 - 3*a + 3. Let i be l(4). Let y be 12/9*(-9)/(-6). Solve -i = -y*d + w for d.
5
Let w = -1 - -5. Suppose 5*t - 57 = -y, w*t + 3*y = 2*y + 45. Solve -2*c + t = c for c.
4
Let h be 3/30*-4 + (-96)/(-15). Suppose -4*n = 2*p, -p = 4*n - 4*p - 20. Suppose n*m - m = 0. Solve 2*y + m*y = h for y.
3
Suppose -4*l = -4*a - 20, 22 = -4*l - 4*a + 2. Suppose -r = 4*z - 14, l*r - 2*r + 7 = z. Let m be ((-1)/2)/((-2)/8). Solve -8 - r = -m*u for u.
5
Let r = -40 + 45. Solve 3*z = r*z for z.
0
Suppose -2*g + 2 = 4*u, -4*g - 5 = -3*g. Let i(p) = p + 12. Let s be i(-10). Solve -s*v = -u*v for v.
0
Let t(q) = q**3 - 6*q**2 + 4. Let d be t(6). Solve -d*r + 1 = 5 for r.
-1
Suppose -3*a - 9 + 27 = 0. Solve -5*t = -a - 9 for t.
3
Suppose -3*o = -o - 6. Suppose -4*v + 4*i + 78 - 2 = 0, -o*v + 5*i = -63. Solve x + v = -3*x for x.
-4
Suppose 8*r - 67 + 11 = 0. Solve 4*h + r = -9 for h.
-4
Suppose a = 2*r + 10, -2*r = -2*a - a + 30. Solve 7*j = 2*j - a for j.
-2
Let y(c) be the second derivative of c**3/6 - c**2 + c. Let f be y(2). Solve f = -2*k - 0*k + 10 for k.
5
Suppose -2*f = -0 + 12. Let u be (-3 - 0) + (f - -13). Solve 0*z = -u*z - 16 for z.
-4
Let h = 4 + 0. Let v be (5 - h) + 6/2. Solve -r = r + v for r.
-2
Suppose -3*z - 21 - 3 = 0. Let b = 5 + z. Let v be (-15)/b*(1 + 0). Solve -4*u - v = 3 for u.
-2
Let k = 14 + -11. Solve 0 = -k*n - 2*n for n.
0
Let v(x) = -7*x - 6. Let b be v(-6). Suppose -4*a + 0*a = 8, -4*c - 4*a + b = 0. Suppose 3*w = 4*q + 19, -2*w = -0*q - q - c. Solve -17 = -4*p - w for p.
3
Let i be 9*(2/1)/6. Suppose -i*g = g. Suppose 0 = -2*r - 3*n + 2*n + 30, 3*n = -r + 10. Solve -r = 4*y - g*y for y.
-4
Let b be 2/3 - (-34)/(-51). Solve b = 5*s + 10 + 10 for s.
-4
Suppose 2*x + 1 = 3*c + 50, -c = 2*x - 37. Solve -x = u - 6*u for u.
4
Suppose -i = 3*q - 3, 3*i + 4*q - 15 = -2*i. Solve -5*x - i - 2 = 0 for x.
-1
Let p = 1 + 3. Suppose -3*c = -2*c - p. Solve c*u = 2*u - 10 for u.
-5
Let t = 3 + -2. Let g(p) = -p - 5. Let c(o) = o + 6. Let d(x) = -2*c(x) - 3*g(x). Let v be d(0). Solve -v*b - 11 = t for b.
-4
Let n = -5 - -19. Solve -3*m - 1 - n = 0 for m.
-5
Let l = 34 + -26. Solve l = 4*s - 12 for s.
5
Let x be 2/(-8) - (-42)/8. Solve 10 = -x*s - 0*s for s.
-2
Let u be (-22)/(-6) - (-4)/(-6). Suppose 24 = 6*q - 2*q. Suppose -z = -u*z + q. Solve z*k = 2 + 4 for k.
2
Let u(t) = -t**3 - 4*t**2 + 3*t - 8. Let z be u(-5). Solve z*s = -s + 12 for s.
4
Suppose -3*s = 15, 0 = -2*h - 4*s - 11 - 7. Solve -3*p = h - 7 for p.
2
Let u(q) = -q. Let z(p) = p**2 - p. Let m(c) = 6*u(c) - z(c). Let n be m(-4). Solve -n*g = -2 + 6 for g.
-1
Suppose 0 = -0*a + a. Suppose -l + a + 5 = 0. Let f = -3 + l. Solve -x - 3 = -f*x for x.
3
Suppose -149 = -2*w - 0*w + 3*m, -4*m = 4*w - 268. Suppose 0 = -7*j + 2*j - 3*y + 60, -5*y = 5*j - w. Let h = j + 3. Solve 0 = -5*i + 13 + h for i.
5
Suppose u - 1 = 2. Let l be 250/9 - 2/(-9). Let t = l - 13. Solve u*s = -0*s + t for s.
5
Let x be (-15)/(-9) + (-4)/6. Solve 0 + x = -f for f.
-1
Let y be 14/4 + 1/(-2). Let j(a) = -19 + a**2 + 11 + 11*a + 16. Let r be j(-11). Solve y*c - c = r for c.
4
Suppose -3*f + y = 5, 5*f = -0*y + 3*y - 15. Let r(a) = a**3 - 8*a**2 + 7*a + 2. Let w be (-102)/(-14) + (-4)/14. Let g be r(w). Solve f*c - g = -c for c.
2
Let v(k) = k - 4. Let l be v(5). Let s be (l - 1 - 2)*-3. Solve 9 = -5*g - s for g.
-3
Let a(k) = 4*k - 3. Let s be a(2). Let h(y) be the third derivative of y**6/120 - y**5/15 - y**4/6 + y**3/2 + 3*y**2. Let n be h(s). Solve -n = 4*t + 8 for t.
-4
Let d(i) = i**2 - 5*i + 3. Let r be d(5). Suppose 2*x = -2*u - 0 + 4, -10 = -r*x + u. Solve 2*j - x = -9 for j.
-3
Let b be -1*2 + 6 + -2. Let o(l) = -l**2 + 2. Let y be o(3). Let k(g) = -g**2 - 9*g - 7. Let j be k(y). Solve -b*i + 10 = -j*i for i.
-2
Let v = -36 + 37. Solve -4*u - v = 3 for u.
-1
Let u = 7 - 4. Suppose -5*c + 52 = -3*c. Suppose -2*f - 7 = i, 0*f = 2*i - 4*f - c. Solve -3 = i*m + u for m.
-2
Let m be 13/(-1)*(-3)/3. Solve 5*s + m = -2 for s.
-3
Let x = -4 - -12. Let z = 4 + x. Suppose 4*n + 4*h = 0, 0 = -2*n - 0*n + 2*h + 16. Solve n*c - z = c for c.
4
Let s = -14 + 10. Let h(t) = -11*t**2 + 1. Let v be h(1). Let i be (v/(s - -3))/2. Solve 0 = 4*k + k + i for k.
-1
Let b(m) = m**2 + 3*m - 3. Let k be b(1). Solve 2 = -3*v - k for v.
-1
Suppose 4*a = -5*l + 75, -a + 14 + 8 = -2*l. Let o = 20 - a. Solve o = -2*f - 3 + 5 for f.
1
Let t(f) be the third derivative of f**5/60 - 5*f**4/24 - f**2. Let o be t(6). Solve z = -2*z - o for z.
-2
Let x = -19 + 11. Let s = x - -10. Solve 5*c - 9 = s*c for c.
3
Suppose 0 = -0*f + f + 3*y + 8, 0 = 4*f + y - 1. Let k be (0/f)/(-5 + 4). Solve -4*m + k*m = 20 for m.
-5
Let q(t) = -t + 4. Let w be q(0). Suppose -2*h + w*f = -3*h + 6, -5*h = 2*f - 12. Suppose -h*k + 6 = k. Solve -3*s = -k*s for s.
0
Let i = 14 + -8. Suppose -i*u + u + 30 = 0. Suppose 0 = 2*r - u*r. Solve r*y = -2*y for y.
0
Let k = 57 + -52. Solve 15 = -k*i - 10 for i.
-5
Let q(o) = -2*o + 2. Let y be q(1). Solve -5*l + y*l = 0 for l.
0
Suppose 4*a - 10 = -a. Suppose 5*b - 8 = 12. Suppose -f = -0*f + 2*k, 0 = -5*f + b*k. Solve f = 4*z - a - 6 for z.
2
Let v(w) = w + 27. Let c be v(-21). Solve c*u = 8*u for u.
0
Let v be (2/(-3))/(2/(-9)). Let s(r) = 8*r**2 + r. Let q be s(-1). Solve -2*c = -v - q for c.
5
Let m be (-18)/(-24) + 5/4. Solve m = 5*w - 3*w for w.
1
Let d = -10 + 9. Let y be 1 - (d - 23)/3. Solve -2*o - o = y for o.
-3
Let t = 1 - 3. Let c(q) = 8*q**2 - 2*q + 1. Let y be c(1). Let z be t/y - 48/(-21). Solve 2*k + 0 = z for k.
1
Suppose 3*o + 2 = -3*f + o, 3 = 5*f - 3*o. Solve f*m + 2 = -m for m.
-2
Let v(r) = -2*r + 25. Let c be v(10). Solve -c*b + 4 + 1 = 0 for b.
1
Suppose 0 = -5*i + 190 - 50. Suppose -p = p - i. Suppose p = 4*b - 2. Solve 5*o = -1 - b for o.
-1
Let s = 2 - 3. Let y be (1/s)/1*-5. Let q = 2 + 1. Solve q*k - y = 2*k for k.
5
Suppose 3*v + v = -156. Let j = -19 - v. Solve 2*b = -2*b - j for b.
-5
Suppose -16 = w + w + 4*q, -5*w + 3*q = -25. Suppose 2*m = 2*f + 2, m - 3*f + 3 = -0*f. Suppose m*h - 6 = -3*d, -2 + 0 = d + 5*h. Solve -j = w*j - d for j.
1
Suppose a = 7*a - 36. Solve 2*x - a*x = 16 for x.
-4
Let z = -31 - -53. Suppose z = 4*i + 6. Solve 2*t = -6 + i for t.
-1
Let k = -3 + 5. Suppose 0 = 4*v + j + 13, 2*v + 4*j + 4 = -2*v. Let b be v/(-8) + 2/(-4). Solve k*r + b = 8 for r.
4
Suppose 12 = g - 6. Let p be 4/g - 129/(-27). Solve -3*n + p = -4*n for n.
-5
Let b = 26 - 23. Solve 3*k - b = 2*k for k.
3
Suppose -w = 4 - 6. Solve -m - w = -4 for m.
2
Suppose -n = -3*n + 6. Suppose -3*t = -n - 3. Suppose 4*a + 4*m = - | {
"pile_set_name": "DM Mathematics"
} |
t 2, -48, -28, -5378 in decreasing order.
2, -28, -48, -5378
Sort 19, -139699, -3 in decreasing order.
19, -3, -139699
Put 71, -2013, 5 in descending order.
71, 5, -2013
Sort -0.04, -1/5, 0.02032, 1/7 in ascending order.
-1/5, -0.04, 0.02032, 1/7
Sort -0.07, -96, -5, 3/10, -3, 0.1 in descending order.
3/10, 0.1, -0.07, -3, -5, -96
Put -4, -4044, -1, 5, 9, -3 in ascending order.
-4044, -4, -3, -1, 5, 9
Put 1.213, -29, -1/8, -6, 0.2 in decreasing order.
1.213, 0.2, -1/8, -6, -29
Put -0.4, 3, 2.3, -1248.9, -3, -1 in descending order.
3, 2.3, -0.4, -1, -3, -1248.9
Put -4, 0, -291, 12, 496, -2 in descending order.
496, 12, 0, -2, -4, -291
Put -1199, 1, 1435 in decreasing order.
1435, 1, -1199
Sort -71, 5, 3, 8, -2684, -4, -3 in descending order.
8, 5, 3, -3, -4, -71, -2684
Put 4, 3, -7, 462, -4, 29, -2 in descending order.
462, 29, 4, 3, -2, -4, -7
Sort 2, -4, -2/37, -7, -25.3, -0.1 in decreasing order.
2, -2/37, -0.1, -4, -7, -25.3
Put 120, 600, 4, 664 in decreasing order.
664, 600, 120, 4
Sort 0, -2, 14, -21, 10, 17, -3 in decreasing order.
17, 14, 10, 0, -2, -3, -21
Sort 74, -56222, 3.
-56222, 3, 74
Put -723, 410, -5 in descending order.
410, -5, -723
Sort 0, 1, -38, 7074, 5, -3 in decreasing order.
7074, 5, 1, 0, -3, -38
Sort -3212, 7, 0, 4, 2, -7 in descending order.
7, 4, 2, 0, -7, -3212
Put -0.37, 0.2, -34, -10741, 4 in descending order.
4, 0.2, -0.37, -34, -10741
Sort 1016, 17, -8, 32 in decreasing order.
1016, 32, 17, -8
Sort -295, 459, -3, 9 in descending order.
459, 9, -3, -295
Sort -2, -5, 17, -19, 0, 4, 2.
-19, -5, -2, 0, 2, 4, 17
Put 463, 5, -137, -3 in decreasing order.
463, 5, -3, -137
Sort 792, 13, 352, -1.
-1, 13, 352, 792
Put -16, -3, 2, 537, -2, 1 in ascending order.
-16, -3, -2, 1, 2, 537
Put -1, 3, 4, -349141, -2 in increasing order.
-349141, -2, -1, 3, 4
Put 0.2, -111117, 2 in descending order.
2, 0.2, -111117
Put 5, 3, -0.0421, -0.5, 4, -451 in ascending order.
-451, -0.5, -0.0421, 3, 4, 5
Put -5336/47, 5.3, 0.3, -0.3 in ascending order.
-5336/47, -0.3, 0.3, 5.3
Put 0.3, 2, -76/30021 in ascending order.
-76/30021, 0.3, 2
Put -34, -1091, 17 in ascending order.
-1091, -34, 17
Sort 269, 62, -12745 in descending order.
269, 62, -12745
Sort -945, -1/3, 0.7, -14, 0, 3, 5.
-945, -14, -1/3, 0, 0.7, 3, 5
Put 154, 0, -4, 4, 170, 3 in increasing order.
-4, 0, 3, 4, 154, 170
Put 0, 0.052, 4/5, -415, -5 in descending order.
4/5, 0.052, 0, -5, -415
Put -16, 0, -5, -7, 54 in decreasing order.
54, 0, -5, -7, -16
Put -0.09, 0, -4, 1197644/9 in decreasing order.
1197644/9, 0, -0.09, -4
Put 0.271, 1, 88.3, -6 in ascending order.
-6, 0.271, 1, 88.3
Sort 0, -207, 51.1, -29, 0.2, 2/11 in descending order.
51.1, 0.2, 2/11, 0, -29, -207
Sort 73, -4, -5, 197314, 0 in increasing order.
-5, -4, 0, 73, 197314
Put -1, -81, -58, -92, 4 in ascending order.
-92, -81, -58, -1, 4
Sort 1, 20, 9148, -4 in increasing order.
-4, 1, 20, 9148
Put 2/5, -0.3, 115.1, 0.8 in decreasing order.
115.1, 0.8, 2/5, -0.3
Put 0.1, 6/865, -0.09, 4, -1/18 in descending order.
4, 0.1, 6/865, -1/18, -0.09
Sort -11, -11.1, 1/3, 5, -0.5, 0.39.
-11.1, -11, -0.5, 1/3, 0.39, 5
Put -15454, -4/13, -1/2, -5 in decreasing order.
-4/13, -1/2, -5, -15454
Put -1/2567, -0.1, 8893 in descending order.
8893, -1/2567, -0.1
Sort -1, -3, -55681, -17.
-55681, -17, -3, -1
Put 124, -1.566, -40, -1/7 in decreasing order.
124, -1/7, -1.566, -40
Put 0.4, -0.09, 32, -44, 6 in increasing order.
-44, -0.09, 0.4, 6, 32
Put -3, 21, 32800, -6 in decreasing order.
32800, 21, -3, -6
Put -819, -1, 3, -40, -3 in increasing order.
-819, -40, -3, -1, 3
Sort 0.4, 4, 2/29, -7182, 2/7, 6/7 in increasing order.
-7182, 2/29, 2/7, 0.4, 6/7, 4
Sort -9188797, -2, 5 in descending order.
5, -2, -9188797
Put -7, -3/8, 4, -3, -1/168, -4 in increasing order.
-7, -4, -3, -3/8, -1/168, 4
Put -103, 3/13901, 4, -1/2 in decreasing order.
4, 3/13901, -1/2, -103
Sort -5, 3, -0.01, 17, -2, -271/3 in descending order.
17, 3, -0.01, -2, -5, -271/3
Sort 431, 993, -4, 0, 5 in descending order.
993, 431, 5, 0, -4
Put 4, 5, 292, -2, 71, -19, 1 in decreasing order.
292, 71, 5, 4, 1, -2, -19
Sort 15, -238, -86 in increasing order.
-238, -86, 15
Sort 3, 1, 3331197 in descending order.
3331197, 3, 1
Put 38, -6, -1185, -20 in ascending order.
-1185, -20, -6, 38
Put -16829489, 0, -5 in increasing order.
-16829489, -5, 0
Put -0.22, 1, -1/5, -263, 124 in ascending order.
-263, -0.22, -1/5, 1, 124
Sort 2, 4, 68070, 3 in decreasing order.
68070, 4, 3, 2
Sort -5, 36, 79, -16, -3.
-16, -5, -3, 36, 79
Sort 6, 12, -1, -366, 48 in decreasing order.
48, 12, 6, -1, -366
Sort 0.4, 51/817, 2/9, 7.
51/817, 2/9, 0.4, 7
Put -3, 1, 2, -4, 1690, -56, 5 in descending order.
1690, 5, 2, 1, -3, -4, -56
Sort 7, -3, 2, -21, 0.5, -0.580284 in descending order.
7, 2, 0.5, -0.580284, -3, -21
Put 0, 6, 269, 18, 145, -4 in decreasing order.
269, 145, 18, 6, 0, -4
Put -0.1, 9, 0.3, -2, -98.86, 1 in descending order.
9, 1, 0.3, -0.1, -2, -98.86
Sort -5, -1/44, -198250.
-198250, -5, -1/44
Put 1/8, -0.06, 2553, -4, 15 in ascending order.
-4, -0.06, 1/8, 15, 2553
Sort 4, 472, -46546 in ascending order.
-46546, 4, 472
Sort -2, -1, -10.1, -28081.
-28081, -10.1, -2, -1
Sort -3, 4, -1, 12, -519, 2 in descending order.
12, 4, 2, -1, -3, -519
Sort 1479, -5, 2538.
-5, 1479, 2538
Sort 0, -119, -16, 6121.
-119, -16, 0, 6121
Sort 4/23, 0.16, -44, 1 in descending order.
1, 4/23, 0.16, -44
Put -13, -75, 2, 1, -1179 in decreasing order.
2, 1, -13, -75, -1179
Put 10, -4.5, 15516, 0 in increasing order.
-4.5, 0, 10, 15516
Sort -30, 14186, -4, -269.
-269, -30, -4, 14186
Put -396, -7, -3, -134 in decreasing order.
-3, -7, -134, -396
Sort 4, -3, 5, 649, -1, 37.
-3, -1, 4, 5, 37, 649
Sort -15, -6/11, -0.1, 9195/14.
-15, -6/11, -0.1, 9195/14
Put 6, -1311, 4335 in ascending order.
-1311, 6, 4335
Sort -144036, -8, -3 in descending order.
-3, -8, -144036
Sort -5, -36324, 17, 3, 5.
-36324, -5, 3, 5, 17
Sort 912, -21, -5, -369, 1 in increasing order.
-369, -21, -5, 1, 912
Put 22, 4, -13435, -10 in increasing order.
-13435, -10, 4, 22
Sort -3, -42, -1477, 24.
-1477, -42, -3, 24
Sort -2.29, 1/5, 2, 7.359 in ascending order.
-2.29, 1/5, 2, 7.359
Sort -2, 1027109, 1/2, -2/11 in increasing order.
-2, -2/11, 1/2, 1027109
Put -2/13, -54, -2, -25, -0.1, 1 in ascending order.
-54, -25, -2, -2/13, -0.1, 1
Sort 2211, -2, 936 in descending order.
2211, 936, -2
Sort 2, 46, -539, -4, 0 in decreasing order.
46, 2, 0, -4, -539
Put -44, -3/5, -0.55, 32, -0.4 in ascending order.
-44, -3/5, -0.55, -0.4, 32
Put 5, -0.2, -58.9, 0, -2, -1, 0.5 in descending order.
5, 0.5, 0, -0.2, -1, -2, -58.9
Put 0, 1, -12, -3, 681 in decreasing order.
681, 1, 0, -3, -12
Put 2348, 124, -113 in descending order.
2348, 124, -113
Put 5, 4, -10, 695, -126, -4 in decreasing order.
695, 5, 4, -4, -10, -126
Put -3038, 7, -2, 1, 4, -89 in descending order.
7, 4, 1, -2, -89, -3038
Put 2/25, 2, -4.8, 47/3, 2/79 in increasing order.
-4.8, 2/79, 2/25, 2, 47/3
Sort 4061519, -2, -1.
-2, -1, 4061519
Put 47169, 5, 3, -6 in increasing order.
-6, 3, 5, 47169
Put -268, 3, 2, 36, -5, -2 in ascending order.
-268, -5, -2, 2, 3, 36
Sort -12, -8877, 172 in descending order.
172, -12, -8877
Put -3, -3/116, 1/3, -0.9, 5, 1/10 in descending order.
5, 1/3, 1/10, -3/116, -0.9, -3
Put -5, 313, 1, 5, 70, -12 in ascending order.
-12, -5, 1, 5, 70, 313
Sort -1, 23, 10, 16, -4 in ascending order.
-4, -1, 10, 16, 23
Sort 2, 122, -629, -1, -5 in decreasing order.
122, 2, -1, -5, -629
Sort -10, 107, -234 in ascending order.
-234, -10, 107
Sort 2, -3716, -2699, 5, -5, -2.
-3716, -2699, -5, -2, 2, 5
Put -7, 5, 1.5, 7.42, 3, -5 in descending order.
7.42, 5, 3, 1.5, -5, -7
Put -1097/18, 5, -2, -0.4 in ascending order.
-1097/18, -2, -0.4, 5
Put -22, 136, 4, -5, 5, -1, 12 in decreasing order.
136, 12, 5, 4, -1, -5, -22
Put -3, 4360, 77840 in ascending order.
-3, 4360, 77840
Put -3, -6, 12, -41, -1 in ascending order.
-41, -6, -3, -1, 12
Sort -7, 405, -9, 3/29, -5, 2 in decreasing order.
405, 2, 3/29, -5, -7, -9
Sort -5, -13, -19155, -22 in increasing order.
-19155, -22, -13, -5
Put 1/134, -4, 3, 0.4, -1, 84 in descending order.
84, 3, 0.4, 1/134, -1, -4
Sort -31708, 161, -2 in ascending order.
-31708, -2, 161
Sort 3, -143, -3, -7, 10, 5, -11.
-143, -11, -7, -3, 3, 5, 10
Put -23 | {
"pile_set_name": "DM Mathematics"
} |
.387271
How many nanograms are there in twenty-one fifths of a microgram?
4200
What is sixty-four fifths of a litre in millilitres?
12800
Convert 65.28735 nanoseconds to milliseconds.
0.00006528735
What is 28/3 of a century in months?
11200
How many months are there in seven quarters of a century?
2100
What is 2.715067ng in tonnes?
0.000000000000002715067
What is 6/25 of a millennium in years?
240
How many milligrams are there in one twentieth of a kilogram?
50000
Convert 0.3681262g to milligrams.
368.1262
Convert 625.2431ml to litres.
0.6252431
How many meters are there in 153748.1mm?
153.7481
What is one quarter of a tonne in kilograms?
250
Convert 99.2769um to kilometers.
0.0000000992769
What is 1508.103 centimeters in millimeters?
15081.03
What is fourty-four fifths of a century in decades?
88
How many nanoseconds are there in three eighths of a microsecond?
375
What is twenty-five eighths of a litre in millilitres?
3125
How many micrometers are there in 7/2 of a millimeter?
3500
Convert 0.1740164 kilograms to nanograms.
174016400000
What is 3/25 of a centimeter in micrometers?
1200
Convert 4.950427cm to nanometers.
49504270
How many milligrams are there in 0.1019622 tonnes?
101962200
What is one twentieth of a decade in months?
6
What is 5149.229kg in tonnes?
5.149229
How many millilitres are there in 3/10 of a litre?
300
How many nanometers are there in 56331.84um?
56331840
How many micrograms are there in seven halves of a milligram?
3500
What is 27.2502 decades in years?
272.502
What is seventeen halves of a kilogram in grams?
8500
How many months are there in 3/8 of a millennium?
4500
Convert 7.658378 millilitres to litres.
0.007658378
Convert 18.81563 micrograms to nanograms.
18815.63
What is 578.3694l in millilitres?
578369.4
How many nanograms are there in 198.7302 tonnes?
198730200000000000
What is 3/5 of a litre in millilitres?
600
What is 1/20 of a millimeter in micrometers?
50
What is 3/5 of a decade in months?
72
Convert 316326.7 centimeters to millimeters.
3163267
How many kilograms are there in 1/5 of a tonne?
200
How many minutes are there in five quarters of a day?
1800
How many milligrams are there in 0.1981821 micrograms?
0.0001981821
How many meters are there in seventeen quarters of a kilometer?
4250
What is 6.2943264us in days?
0.000000000072851
What is 9647.754 days in microseconds?
833565945600000
Convert 2.86994km to meters.
2869.94
How many millilitres are there in eleven halves of a litre?
5500
What is five sixths of a day in minutes?
1200
How many centuries are there in 94939.23 years?
949.3923
How many nanograms are there in seven quarters of a microgram?
1750
How many seconds are there in 1/54 of a week?
11200
How many kilograms are there in 39605.8g?
39.6058
What is 4/3 of a week in minutes?
13440
What is 36.66277 litres in millilitres?
36662.77
What is 414078.8 decades in months?
49689456
What is 15/4 of a litre in millilitres?
3750
How many months are there in 1/6 of a century?
200
What is 51/2 of a kilometer in meters?
25500
What is 1/5 of a millisecond in microseconds?
200
How many millennia are there in 2245.1367 months?
0.187094725
What is 0.1275684 millilitres in litres?
0.0001275684
What is 89.02 millennia in months?
1068240
What is 1/5 of a milligram in micrograms?
200
What is eleven halves of a centimeter in micrometers?
55000
How many millilitres are there in 1.52551l?
1525.51
Convert 0.0393377 millennia to years.
39.3377
What is 76/5 of a millennium in decades?
1520
What is 7682.199 decades in centuries?
768.2199
What is 42/5 of a millennium in centuries?
84
Convert 0.9087393um to centimeters.
0.00009087393
How many years are there in one quarter of a millennium?
250
How many months are there in 0.6614402 years?
7.9372824
What is 88442.766ns in hours?
0.000000024567435
How many decades are there in 1.7445456 months?
0.01453788
How many months are there in 573.0396 decades?
68764.752
What is 11/4 of a minute in seconds?
165
Convert 7187.754 grams to micrograms.
7187754000
What is three sevenths of a week in days?
3
Convert 27255.49 milligrams to grams.
27.25549
How many millilitres are there in 1/4 of a litre?
250
How many micrometers are there in one twentieth of a centimeter?
500
How many tonnes are there in 9885.089ng?
0.000000000009885089
Convert 356530.3 centuries to millennia.
35653.03
How many micrograms are there in 3/50 of a gram?
60000
How many nanoseconds are there in 51.78013 weeks?
31316622624000000
Convert 139.13811ms to minutes.
0.0023189685
How many minutes are there in seven halves of a hour?
210
How many grams are there in one fifth of a kilogram?
200
How many millilitres are there in 8.75718l?
8757.18
Convert 7766.353 decades to years.
77663.53
How many nanometers are there in 1554.39 micrometers?
1554390
What is 13/8 of a microgram in nanograms?
1625
What is 2895949.5 months in centuries?
2413.29125
How many milligrams are there in twenty-one quarters of a gram?
5250
What is twenty-nine fifths of a centimeter in millimeters?
58
Convert 254.136 grams to milligrams.
254136
How many nanograms are there in 0.3415982g?
341598200
What is 7/2 of a year in months?
42
What is 398.31183ms in days?
0.000004610090625
Convert 0.2771496 centuries to decades.
2.771496
What is 3/5 of a minute in milliseconds?
36000
What is one fifth of a milligram in micrograms?
200
Convert 0.5967145 micrometers to millimeters.
0.0005967145
How many milligrams are there in 3/5 of a gram?
600
How many nanograms are there in 79/2 of a microgram?
39500
How many microseconds are there in 8110.5ns?
8.1105
What is 13.791891 months in millennia?
0.00114932425
How many milligrams are there in 19/4 of a gram?
4750
How many millilitres are there in 0.6971427l?
697.1427
What is thirty-two fifths of a century in years?
640
How many years are there in 0.3890206 centuries?
38.90206
How many months are there in 3/25 of a century?
144
How many nanoseconds are there in 9290.745 seconds?
9290745000000
What is 21.492201ms in minutes?
0.00035820335
How many seconds are there in three eighths of a day?
32400
What is 3/25 of a litre in millilitres?
120
What is 19/4 of a millennium in months?
57000
What is 532.512 meters in kilometers?
0.532512
How many millilitres are there in 47.6511 litres?
47651.1
What is 11/2 of a gram in milligrams?
5500
What is 737.7945 litres in millilitres?
737794.5
How many grams are there in 592.4241 milligrams?
0.5924241
How many milligrams are there in 1/4 of a gram?
250
What is 5/4 of a minute in seconds?
75
How many millilitres are there in 896.4408 litres?
896440.8
Convert 2.417478kg to milligrams.
2417478
Convert 146654.01us to days.
0.000001697384375
What is thirty-three fifths of a meter in centimeters?
660
How many nanometers are there in 15/4 of a micrometer?
3750
How many minutes are there in eight thirds of a week?
26880
What is 286.5051nm in micrometers?
0.2865051
How many centuries are there in 9.21773 decades?
0.921773
How many millimeters are there in one fifth of a meter?
200
How many millimeters are there in three eighths of a meter?
375
Convert 0.2056826 kilometers to meters.
205.6826
What is one quarter of a day in hours?
6
How many nanometers are there in thirty-four fifths of a micrometer?
6800
Convert 84.12252 millilitres to litres.
0.08412252
Convert 0.128473um to centimeters.
0.0000128473
What is 33/5 of a kilometer in meters?
6600
How many minutes are there in 1/5 of a week?
2016
How many nanograms are there in 205319.5 micrograms?
205319500
What is 6/25 of a micrometer in nanometers?
240
How many months are there in 17/4 of a year?
51
What is 0.2984646km in micrometers?
298464600
What is sixteen ninths of a week in minutes?
17920
What is 142.5314 decades in centuries?
14.25314
How many millilitres are there in three tenths of a litre?
300
What is 27/4 of a kilometer in meters?
6750
How many kilograms are there in 9.71274g?
0.00971274
How many years are there in twenty-one quarters of a century?
525
How many centimeters are there in 11/4 of a meter?
275
Convert 0.9917417ml to litres.
0.0009917417
How many millilitres are there in fourty-nine fifths of a litre?
9800
Convert 2767.945 years to decades.
276.7945
What is 8/3 of a week in minutes?
26880
What is fifty-one eighths of | {
"pile_set_name": "DM Mathematics"
} |
15*b**2*n**2 + 71357*b**2 - 3*b*n**3 wrt n?
-670780644*b**2 - 18*b
What is the derivative of 254438637*b**3 + 55647007 wrt b?
763315911*b**2
What is the third derivative of 813944*z**4 - 6*z**3 - 257*z**2 - 205*z - 2?
19534656*z - 36
Differentiate -1745790*o**4 - 185656.
-6983160*o**3
Find the third derivative of 26517659*s**5 + 422045371*s**2 wrt s.
1591059540*s**2
What is the second derivative of 11789027*l**3 + 96016719*l wrt l?
70734162*l
Find the third derivative of 79717*m**6*x + 5*m**3*x**2 + 582*m**2*x**2 - 352*m*x**2 + 2*x + 1 wrt m.
9566040*m**3*x + 30*x**2
Find the second derivative of 1444*b**3*z**2 + 20*b**3*z - 774*b**2*z + 24268*b*z**2 + 7*b*z - 6*b - 3*z - 2 wrt z.
2888*b**3 + 48536*b
What is the third derivative of 847*i*v**3 - i*v**2 - 16717878*i*v + 6174*v**3 wrt v?
5082*i + 37044
What is the second derivative of 170126464*a**3 + 18*a - 7819687 wrt a?
1020758784*a
What is the second derivative of 841453*m**4 + m**3 + 2762*m + 605?
10097436*m**2 + 6*m
Find the second derivative of 1466*c**3 + 31430*c**2 + 125691430*c - 2 wrt c.
8796*c + 62860
What is the second derivative of -v**3*w**2 + 28*v**3 + 1254271*v**2*w**5 - 33992*w wrt w?
-2*v**3 + 25085420*v**2*w**3
What is the third derivative of 797122*o**6*u - 12*o**6 - 5*o**2*u - o**2 - 312*o*u + 4*o + 3*u + 4 wrt o?
95654640*o**3*u - 1440*o**3
What is the first derivative of 11478651*f**2 - 2*f + 29417650?
22957302*f - 2
What is the third derivative of 6280573*r*z**3 + 6*r*z**2 + 131059*r*z + 2*z**2 wrt z?
37683438*r
Differentiate 19161899*x**2 + 4761736.
38323798*x
What is the third derivative of -5467954*q**6 + 3*q**2 + 3763*q - 10?
-656154480*q**3
What is the second derivative of 36*t**3*v - 454281*t**2*v + 72*t*v + 2*t + 2202*v - 2 wrt t?
216*t*v - 908562*v
Differentiate 2501*x**3 - 104*x**2 - 3237056 with respect to x.
7503*x**2 - 208*x
Find the second derivative of f**3*m**2 + 4*f**3*m - 1008393*f + 5221008*m**2 wrt m.
2*f**3 + 10442016
What is the second derivative of 15*h**5*t - 617007*h**4*t + 3462*h*t + 182*h - 3*t wrt h?
300*h**3*t - 7404084*h**2*t
What is the second derivative of -130*c**4 + 90659*c**3 + 106934764*c wrt c?
-1560*c**2 + 543954*c
What is the second derivative of -10879888*q**2*z**2 + 13*q*z**2 + 148*q*z + 83 wrt q?
-21759776*z**2
Find the second derivative of 4308823*v**2 - 8*v + 1520896 wrt v.
8617646
What is the first derivative of 176*r**3 - 63444*r**2*t + 515073*t - 13 wrt r?
528*r**2 - 126888*r*t
What is the third derivative of -4*k**4*x + k**4 - 13179*k**3*x + 3*k**3 + 10544*k**2*x - 15*k*x + 2*x wrt k?
-96*k*x + 24*k - 79074*x + 18
What is the first derivative of -694871723*r**3 + 1006838408?
-2084615169*r**2
What is the second derivative of -18966*w**4*y - 5148*w**3*y**3 + 3*w*y**3 + 2*w + 2*y**2 - 3214629*y + 1 wrt w?
-227592*w**2*y - 30888*w*y**3
Find the third derivative of -297805266*o**6 + 8713*o**2 + 3096*o + 2.
-35736631920*o**3
What is the second derivative of 353*a**4 + 571004*a**3 + 492263264*a?
4236*a**2 + 3426024*a
Find the third derivative of -393670055*s**3 - 27202406*s**2.
-2362020330
What is the third derivative of a**5*m**2 - 1393225*a**4*m**2 - 14*a**2 + 22705*m**2 wrt a?
60*a**2*m**2 - 33437400*a*m**2
What is the second derivative of 16175492*g**4 + 4*g**2 + 2020197*g - 12?
194105904*g**2 + 8
What is the derivative of -121729465*d**2 + 119305657?
-243458930*d
What is the second derivative of 23093666*r**3 + 11*r - 142181?
138561996*r
What is the third derivative of 26044036*k**5 - 2*k**2 - 8440359 wrt k?
1562642160*k**2
What is the second derivative of -94941522*w**5 - w**2 - 560620991*w?
-1898830440*w**3 - 2
Find the third derivative of 4512*n**6*s - 291*n**5*s + n**2*s + 1082042*n**2 wrt n.
541440*n**3*s - 17460*n**2*s
Find the third derivative of -123507612*y**6 - 625*y**2 - 433*y + 3.
-14820913440*y**3
Find the first derivative of r**2 - 502517*r - 9657957.
2*r - 502517
Find the third derivative of -26*l**3*s**2 - 23270*l**3*s - 4*l**3 - 37324*l**2*s**2 + 24*s**2 - 4 wrt l.
-156*s**2 - 139620*s - 24
Find the second derivative of 3132843*v**4 + 620*v - 6372 wrt v.
37594116*v**2
What is the second derivative of 31*a**4 + 48017*a**2 - 642*a - 239919 wrt a?
372*a**2 + 96034
What is the second derivative of -11929111*k**3 + 37295208*k?
-71574666*k
Find the third derivative of -125*f**3*m*p**2 - 4733*f**3*p**3 + 963*f**2*m*p**3 + 3*f**2*p - 10*f*m + m + p**3 - p**2 wrt f.
-750*m*p**2 - 28398*p**3
Find the second derivative of 77585258*k**4 - 398629259*k.
931023096*k**2
What is the second derivative of 3*b**3 - 1745400*b**2 - 13878761*b wrt b?
18*b - 3490800
Find the third derivative of -29558741*w**5 + 442*w**2 + 2*w - 37497.
-1773524460*w**2
Find the first derivative of 85824980*k**3 - 90219052 wrt k.
257474940*k**2
Differentiate k**4 - 5608306*k - 5705012.
4*k**3 - 5608306
What is the derivative of 14089215*y + 43720257 wrt y?
14089215
What is the third derivative of -4397299*i**4*m + 28*i**3*m**2 + i**2*m**2 - 23761783*i**2 - i*m**2 - 2*i + m wrt i?
-105535176*i*m + 168*m**2
Find the third derivative of a**4 - 4377990*a**3 - 20*a**2 + 2*a - 22410.
24*a - 26267940
Find the third derivative of 6674401*u**3 - 1413*u**2 - 94*u wrt u.
40046406
What is the second derivative of 4764140*r**3*t**2 - 2*r**3*t + r**3 + r**2*t - 2*r*t**4 + r - 356*t + 134 wrt t?
9528280*r**3 - 24*r*t**2
What is the third derivative of 32594*l**5*p**2 + 617*l**5 - 4*l**2 - 121008*l*p**2 + 11*l wrt l?
1955640*l**2*p**2 + 37020*l**2
What is the derivative of 87056*h*u - 36913354*h - u wrt u?
87056*h - 1
What is the second derivative of -38357582*c**2 - 21519256*c - 2 wrt c?
-76715164
Find the second derivative of 11181384*c**2*o**3 + 2*c*o**3 - 5*c + 202272*o**3 wrt c.
22362768*o**3
Differentiate -121920678*u*w**3 + 249*w**3 - 32*w**2 - 18*w + 6 with respect to u.
-121920678*w**3
Find the second derivative of 1859468*h**3 - 6*h**2 + 30077979*h.
11156808*h - 12
What is the second derivative of -85540750*w**2 - 87678759*w wrt w?
-171081500
What is the derivative of 3*k**2*l**3 + 285550130*k**2 + 7015981*l**3 wrt l?
9*k**2*l**2 + 21047943*l**2
Find the second derivative of -50974279*z**4 - 17130*z + 1.
-611691348*z**2
Find the second derivative of 95149313*w**4*y - 443799*w - 46*y wrt w.
1141791756*w**2*y
Differentiate -2*s**3*x + 6457726*s**3 - 2*s**2*x - 6*s*x - 10378*x with respect to x.
-2*s**3 - 2*s**2 - 6*s - 10378
Find the second derivative of 5*n**5 + 2177473*n**3 - 405106590*n.
100*n**3 + 13064838*n
What is the second derivative of -65436*b**3*f*l + 1130*b**3*f + b**2*l + 18*b*f - b*l + f*l + 139041*f wrt b?
-392616*b*f*l + 6780*b*f + 2*l
Find the second derivative of -94149*q**4 + 109*q**2 - 2315557*q.
-1129788*q**2 + 218
What is the second derivative of 551*l**3 + 13640*l**2 - 4515218*l - 5?
3306*l + 27280
Find the third derivative of -17635149*u**3 - 26370673*u**2.
-105810894
What is the first derivative of -233344487*c**4 - 478150468 wrt c?
-933377948*c**3
What is the second derivative of -618*t**4 - 129*t**3*x**2 + 2*t*x**2 + 2*t*x - 899*t + x**2 + 2*x + 187 wrt t?
-7416*t**2 - 774*t*x**2
What is the third derivative of 4*y**3*z**4 - 26846*y**3*z**3 + 4*y**3 - 8287*y**2*z**2 - 2*y**2*z + 3*y*z**2 + z**3 wrt z?
96*y**3*z - 161076*y**3 + 6
What is the second derivative of -1995*l**4 + 3938*l**2*p**3 + 18*l*p**3 + 2*l*p**2 + 49*l*p - 3*l - 2*p**2 wrt l?
-23940*l**2 + 7876*p**3
Find the third derivative of 9958857*g**3 - 2070983*g**2 + 7.
59753142
Find the first derivative of 42222306*r*u**4 - 113093101*r wrt u.
168889224*r*u**3
Find the third derivative of -t**4 - 3793771*t**3*u**3 + 17*t**2*u**3 + 14*t**2*u**2 + 4*t*u**3 - 698*t*u**2 + 2*u wrt t.
-24*t - 22762626*u**3
What is the third derivative of 3497175*t**4 + 2*t**3 - 2383224*t**2 wrt t?
83932200*t + 12
Find the second derivative of -1507*k**5 - 4*k**4 - 400*k**2 + 94826568*k.
-30140*k**3 - 48*k**2 - 800
Find the third derivative of -2*l**5 - 8809906*l**3 - 1567214*l**2 + l - 1.
-120*l**2 - 52859436
Find the third derivative of -j**6 - 264270*j**4 - 3*j**3 - 11145145*j**2.
-120*j**3 - 6342480*j - 18
What is the first derivative of -19833*q**4 - 3*q**3 - 345*q - 802991357?
-79332*q**3 - 9*q**2 - 345
What is the derivative of 250965*r**3*u - 103*r**3 + 2*u - 58259286 wrt r?
752895*r**2* | {
"pile_set_name": "DM Mathematics"
} |
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749002
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-3135
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45602
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78441
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358431
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188526
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51277831
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263420
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216388
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304353
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238386
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39179
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1719981
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33543
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3890784
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1305024
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201570
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4525828
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4396
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42840
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98375
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-3195640
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624328
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6946
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546145
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932766
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581979
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797969
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51285
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47389
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88003
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7451945
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1112327
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-971106
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15487186
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-315118
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-18349340
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-97192
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1162371
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-27240
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-7164058
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-23458
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-1145912
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20373
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39093
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49324
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1249076521
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130665
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87622
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27538
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36453
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480219
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71168603
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23675
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2631
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557787
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1651793
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652246454
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What is next in 38014169, 76028336, 114042503, 15 | {
"pile_set_name": "DM Mathematics"
} |
- 18*f**5. Let j(l) = m(l) + 12*y(l). Factor j(k).
-2*k**2*(k - 1)**2*(3*k - 2)
Let h(f) = f**2 + 1. Let u be h(-1). Let d(q) = q**3 + 6*q**2 + 3. Let w be d(-6). Factor 0*n**w - n**5 + n**2 + n**4 + n**3 - 2*n**u.
-n**2*(n - 1)**2*(n + 1)
Suppose 4*p - 5*v - 42 = 0, 4*p - 3*p + 4*v = 0. Determine b, given that 32 - p + 1147*b**5 + 386*b + 3456*b**4 - 62*b + 68*b**5 + 3543*b**3 + 1602*b**2 = 0.
-1, -2/5, -2/9
Let m(n) be the first derivative of -n**5/70 - n**4/21 - n**3/21 + n - 3. Let y(j) be the first derivative of m(j). Find k such that y(k) = 0.
-1, 0
Let q(x) = 6*x**3 + 11*x**2. Let c(r) = r**3 + 2*r**2. Let n(i) = 11*c(i) - 2*q(i). Factor n(g).
-g**3
Let q(c) be the third derivative of 1/30*c**5 + 1/3*c**3 - 1/6*c**4 + 0 + 0*c + c**2. Factor q(h).
2*(h - 1)**2
Let y(o) be the third derivative of 0*o - 1/15*o**3 - 1/600*o**6 + 1/40*o**4 - 4*o**2 + 0 + 0*o**5. Suppose y(q) = 0. What is q?
-2, 1
Let u = 5 - 3. Factor -5*p**2 + p**u + 3 + 3*p**2 - 2.
-(p - 1)*(p + 1)
Let x be (-8)/(-6)*3 + 0. Suppose 0 = -3*j + 7 + 2. Find v, given that -2*v - x*v**2 + 3*v**2 + 4*v - v**j = 0.
-2, 0, 1
Let c(a) = -a**3 - 5*a**2 - 4*a. Let h be c(-4). Suppose -5*m + 15 = -2*z - z, h = m - z - 5. Factor -4/3*y**2 + m - y.
-y*(4*y + 3)/3
Let m(s) be the first derivative of -s**7/1050 - s**6/200 - s**5/100 - s**4/120 - s**2/2 + 8. Let z(b) be the second derivative of m(b). Factor z(a).
-a*(a + 1)**3/5
Let f(b) be the first derivative of -b**4/12 - 14*b**3/3 - 98*b**2 - 2744*b/3 + 24. Factor f(a).
-(a + 14)**3/3
Suppose -4*p = -5*l - 0 - 3, 2*p - l - 3 = 0. Find g such that 24*g + 6*g**3 - 7*g**2 - 4*g**3 + 2*g**2 - 16 - 7*g**p = 0.
2
Let b(u) = -3*u**4 + 13*u**3 - 9*u**2 + 7*u - 4. Let y(z) = 3*z**4 - 14*z**3 + 9*z**2 - 8*z + 5. Let l(w) = -5*b(w) - 4*y(w). What is q in l(q) = 0?
0, 1
Let r(z) = 14*z**4 - 2*z**3 - 8*z**2 + 8*z. Let m(l) = 5*l**4 - l**3 - 3*l**2 + 3*l. Let y(i) = 8*m(i) - 3*r(i). Factor y(j).
-2*j**3*(j + 1)
Suppose 4*s = -2*h, 0*s = 4*h + 4*s - 4. Factor h*l + 3 + 1/3*l**2.
(l + 3)**2/3
Let p = -273/5 - -55. Let v(i) be the second derivative of 0*i**2 + 1/3*i**3 - 2*i + p*i**5 - 1/10*i**6 + 0 - 7/12*i**4. Let v(j) = 0. Calculate j.
0, 2/3, 1
Let m = 22 + -10. Suppose 5*i = m + 3. Factor -g**2 + 2*g**2 + 5*g**4 - 3*g**2 + 3*g**i.
g**2*(g + 1)*(5*g - 2)
Let r(o) = -7*o**2 + 5*o + 3. Let n = -5 - -5. Suppose n = -0*d - 2*d - 2. Let x(k) = -k**2 + 1. Let q(g) = d*r(g) + 5*x(g). Factor q(i).
(i - 2)*(2*i - 1)
Let g(h) be the third derivative of -1/12*h**4 + 0*h**5 + 2/9*h**3 + 0 + 1/180*h**6 + 0*h - 3*h**2. Factor g(y).
2*(y - 1)**2*(y + 2)/3
Let x(r) be the third derivative of r**9/30240 - r**7/2520 + 7*r**5/60 + 6*r**2. Let v(h) be the third derivative of x(h). Factor v(z).
2*z*(z - 1)*(z + 1)
Factor 4/11*v**2 + 0*v + 6/11*v**4 + 10/11*v**3 + 0.
2*v**2*(v + 1)*(3*v + 2)/11
Let x(b) be the second derivative of -b**9/7560 - b**8/840 - b**7/210 - b**6/90 - b**5/60 - b**4/3 - 3*b. Let y(q) be the third derivative of x(q). Factor y(w).
-2*(w + 1)**4
Let b(m) = -2*m**2 - 2*m + 62. Let z be b(5). Factor -8/3 + 8*s + 14/3*s**z.
2*(s + 2)*(7*s - 2)/3
Suppose 0*v + 14 = 2*v. Suppose -3*z + 25 = v. Factor -z*k**5 - 4*k**3 + k**5 - 3*k**3 + k**2 + 11*k**4.
-k**2*(k - 1)**2*(5*k - 1)
Let p(o) = 15*o**2 - 120*o. Let m(d) = d**2 - 7*d. Let a(c) = 35*m(c) - 2*p(c). Factor a(q).
5*q*(q - 1)
Let u be (-160)/(-100) + (2 - 16/10). Let f = 245/177 - 3/59. What is z in -1/3*z**4 - 2*z**u - f*z - 4/3*z**3 - 1/3 = 0?
-1
Let f(g) be the second derivative of 1/10*g**3 - 5*g - 1/20*g**4 - 3/100*g**5 + 3/10*g**2 + 0. Factor f(j).
-3*(j - 1)*(j + 1)**2/5
Let d(a) be the third derivative of 0*a**3 + 0 + 0*a - 1/180*a**5 + 1/72*a**4 + 7*a**2. Find s, given that d(s) = 0.
0, 1
Suppose 4*f + 8 = -c, 5*c - f = -5*f - 8. Suppose c*u**3 + 0*u - 2/7*u**5 + 0 + 0*u**2 + 2/7*u**4 = 0. What is u?
0, 1
Suppose -2*t = 0, -88 = -j + 5*j - 2*t. Let r(v) = -2*v**3 + 2*v**2 - v + 1. Let k(g) = 7*g**3 - 8*g**2 + 4*g - 3. Let p(b) = j*r(b) - 6*k(b). Factor p(a).
2*(a - 1)*(a + 1)*(a + 2)
Let u(c) be the second derivative of -c**7/630 + c**6/90 - c**4/6 + 3*c. Let x(b) be the third derivative of u(b). What is a in x(a) = 0?
0, 2
Let s = -33 + 34. Let p be 192/18*s/4. Factor 9*y**4 + 9*y**5 - 6*y**3 - p*y - 28/3*y**2 + 0.
y*(y - 1)*(3*y + 2)**3/3
Let v(c) = c**3 + 6*c**2 + c + 9. Let r be v(-6). Let p be 2/(r + 4 - 4). What is k in 2/3*k**2 + 0 + p*k = 0?
-1, 0
Let y(s) be the third derivative of 7*s**6/120 - 3*s**5/20 - s**4/2 + 2*s**3/3 - 36*s**2. Factor y(r).
(r - 2)*(r + 1)*(7*r - 2)
Let n(h) be the first derivative of -h**3 + 3*h - 5. Solve n(j) = 0.
-1, 1
Let j(d) be the third derivative of d**10/50400 - d**9/6720 + d**8/3360 + 7*d**5/60 - 3*d**2. Let c(k) be the third derivative of j(k). Factor c(w).
3*w**2*(w - 2)*(w - 1)
Let w(s) be the first derivative of s**7/3780 - s**5/540 + 3*s**3 + 9. Let l(m) be the third derivative of w(m). Factor l(k).
2*k*(k - 1)*(k + 1)/9
Let q(x) be the second derivative of 0 + x - 1/24*x**3 - 1/48*x**4 + 0*x**2. Find j, given that q(j) = 0.
-1, 0
Let y be 5/15 + 5/3. Factor -y*t**5 - t**5 - 5*t**3 - 3*t + 11*t**3.
-3*t*(t - 1)**2*(t + 1)**2
Let l = -909 - -911. What is b in -4/5 + 3/5*b + 1/5*b**l = 0?
-4, 1
Let z(d) be the first derivative of 7*d**6/45 - 3*d**5/10 - 2*d**4/3 + 4*d**3/9 + 8*d + 5. Let g(u) be the first derivative of z(u). Find h such that g(h) = 0.
-1, 0, 2/7, 2
Let w(j) = -3 + 4*j**2 - 2*j - 3*j - 2 + 4*j. Let o(t) = -2*t**2 + 2. Let p(g) = -9*o(g) - 4*w(g). Let p(h) = 0. Calculate h.
-1
Let s be -12 + 6 - -6 - -2. Let z(g) be the second derivative of 0*g**s - 2*g - 1/42*g**4 + 0 + 2/21*g**3. Factor z(u).
-2*u*(u - 2)/7
Let -6/17*z - 2/17 - 2/17*z**3 - 6/17*z**2 = 0. What is z?
-1
Suppose -3*t = -1 - 5. Let h(j) be the third derivative of 0*j**3 + 0*j + 0 - 2*j**t + 1/15*j**5 + 1/12*j**4. Solve h(d) = 0.
-1/2, 0
Let -37*j**3 - 10*j + 32*j**3 + 23*j**2 + 2*j**2 - 40 = 0. Calculate j.
-1, 2, 4
Let t(l) be the third derivative of 0*l + 0*l**4 + 1/150*l**5 + 0 + 1/100*l**6 + l**2 + 1/175*l**7 + 1/840*l**8 + 0*l**3. Solve t(r) = 0 for r.
-1, 0
Let c(q) be the second derivative of -q**5/90 + q**4/27 - q**3/27 + 16*q. Factor c(t).
-2*t*(t - 1)**2/9
Let k(p) be the first derivative of p**4 - 4*p**3/3 - 2*p**2 + 4*p + 6. What is i in k(i) = 0?
-1, 1
Let n(o) be the third derivative of o**8/192 - 3*o**7/280 - 19*o**6/480 + 13*o**5/240 + o**4/8 - o**3/6 + o**2. Determine u so that n(u) = 0.
-1, 2/7, 1, 2
Suppose -6*r + 4*r + 22 = 0. Let u = -7 + r. Suppose -4/3*s**3 + 0*s - 2/3*s**2 - 2/3*s**u + 0 = 0. What is s?
-1, 0
Let x = 436 + -3044/7. What is t in -2/7 + x*t - 2/7*t**4 - 16/7*t**3 + 8/7*t**5 + 4/7*t**2 = 0?
-1, 1/4, 1
Let d(p) be the third derivative of -p**8/224 - 11*p**7/420 - p**6/40 + p**5/10 + p**4/6 - 48*p**2. Let d(s) = 0. Calculate s.
-2, -2/3, 0, 1
Find z, given that -1/3*z**2 + 1/3*z + 2/3 = 0.
-1, 2
Factor 2/11*r**5 + 18/11*r - 48/11*r**2 + 4*r**3 - 16/11*r**4 + 0.
2*r*(r - 3)**2*(r - 1)**2/11
Factor -22/5*a + 2*a**2 + 4/5.
2*(a - 2)*(5*a - 1)/5
Let v(p) be the second derivative of 0*p**3 + 0*p**4 - 2*p + 1/60*p**5 + 0*p**2 + 0 - 1/90*p**6. Factor v(i).
-i**3*(i - 1)/3
Let g(w) be the third derivative of w**8/112 + w**7/70 - w**6/40 - w**5/20 - 9*w**2. Factor g(y).
3*y**2*(y - 1)*(y + 1)**2
Suppose 3*a = n + 9 - 2, 0 = -5*a + n + 11. Factor 4*f - 2*f**a + 4*f - 12*f.
-2*f*(f + 2)
Factor 0 - 1/4*x**4 + 0*x + 1/2*x**2 + 1/4*x**3.
-x**2*(x - 2)*(x + 1)/4
Let y(v) = 3*v**2 - 42*v. Let c be y(14). Let a(z) be the first derivative of 1/3*z**5 + c*z**2 - 1/9*z**3 - 1/6*z**6 - 1/12*z**4 + 0*z - 3. Factor a(g).
-g**2*(g - 1)**2*(3*g + 1)/3
Let q = 46 - 44. Find g, given that -q*g - 2 - 1/2*g**2 = 0.
-2
Let i(m) be the first derivative of m**4/6 - 2*m**3/3 + m**2 + 2*m - 2. Let k(p) be the first derivative of i(p). Suppose k(z) = 0. Calculate z.
1
Let q be 0/(1/4*4). Suppose q = m + 5 - 7. Determine g, given that -11/3*g**3 - 2/3*g**m + 8/3 - 2*g**4 + 4*g - 1/3*g**5 = 0.
-2, -1, 1
Let j(o) be the third derivative of -o**9/9072 - o**8/10080 + o**7/1512 + o**6/1080 + o**4/12 - 3*o**2. Let p(n) be the second derivative of j(n). Factor p(d).
-d*(d - 1)*(d + 1)*(5*d + 2)/3
Let q(b) be the third derivative of b**7/210 - b**5/60 + 2*b**2. Find h | {
"pile_set_name": "DM Mathematics"
} |
on multiple of 162 and 21?
1134
Calculate the lowest common multiple of 231 and 1785.
19635
Calculate the lowest common multiple of 17 and 28.
476
Find the common denominator of 23/49 and 33/70.
490
Calculate the common denominator of 27/440 and 133/660.
1320
What is the lowest common multiple of 234 and 18?
234
What is the common denominator of 33/1717 and -28/1111?
18887
Find the common denominator of 21/122 and -71/10.
610
What is the lowest common multiple of 54 and 6423?
115614
Find the common denominator of 32/189 and 86/567.
567
Calculate the smallest common multiple of 8 and 733.
5864
Find the common denominator of -48/35 and 44/2115.
14805
Calculate the common denominator of -57/28 and -61/84.
84
Find the common denominator of 113/140 and -71/48.
1680
Find the common denominator of -48/7 and 29/1262.
8834
Calculate the least common multiple of 12120 and 3.
12120
Calculate the least common multiple of 50 and 2020.
10100
What is the lowest common multiple of 3 and 471?
471
What is the common denominator of 107/426 and 52/497?
2982
What is the common denominator of 117/110 and -41/180?
1980
What is the common denominator of -19/20 and -187/120?
120
What is the common denominator of -41/56 and -64/35?
280
What is the common denominator of -191/5640 and 63/10?
5640
What is the smallest common multiple of 60 and 36?
180
What is the lowest common multiple of 162 and 81?
162
What is the common denominator of 38/55 and 39/220?
220
Calculate the common denominator of -32/27 and 41/28.
756
Calculate the common denominator of -57/110 and -2/33.
330
Calculate the common denominator of 65/714 and -77/1734.
12138
Find the common denominator of -26/55 and 53/44.
220
What is the common denominator of -71/35 and 58/707?
3535
What is the lowest common multiple of 153 and 21?
1071
What is the common denominator of 19/27 and -91/36?
108
Calculate the common denominator of 107/544 and 25/32.
544
Find the common denominator of -47/1619 and -19/20.
32380
Find the common denominator of -23/100 and -151/24.
600
Calculate the lowest common multiple of 279 and 186.
558
Find the common denominator of -11/32 and 101/80.
160
What is the smallest common multiple of 9600 and 30?
9600
Find the common denominator of 5/203 and 43/27.
5481
Find the common denominator of 59/2552 and -27/2552.
2552
What is the least common multiple of 30 and 5?
30
What is the common denominator of -35/6 and -11/2969?
17814
What is the lowest common multiple of 89 and 5?
445
Calculate the least common multiple of 255 and 34.
510
Calculate the lowest common multiple of 3654 and 4466.
40194
What is the common denominator of -52/31 and -61/93?
93
Calculate the common denominator of 143/72 and -22/1809.
14472
What is the lowest common multiple of 32 and 2?
32
Calculate the least common multiple of 1754 and 2.
1754
What is the smallest common multiple of 528 and 8712?
17424
Calculate the smallest common multiple of 2 and 31.
62
What is the smallest common multiple of 96 and 46?
2208
Find the common denominator of 89/500 and 73/28.
3500
Calculate the lowest common multiple of 234 and 180.
2340
Calculate the smallest common multiple of 502 and 18.
4518
What is the smallest common multiple of 33 and 105?
1155
Find the common denominator of 71/4404 and 95/24.
8808
What is the common denominator of -45/28 and 61/8?
56
What is the least common multiple of 56 and 28?
56
Calculate the common denominator of -29/712 and -1/3204.
6408
What is the common denominator of -81/164 and -45/14?
1148
Calculate the common denominator of 87/68 and 19/153.
612
Calculate the common denominator of 51/10 and 16/55761.
557610
What is the smallest common multiple of 6 and 67?
402
What is the smallest common multiple of 4960 and 496?
4960
Calculate the common denominator of 13/2 and 62/57.
114
Calculate the common denominator of 19/25112 and -43/14.
175784
What is the lowest common multiple of 12 and 12?
12
Calculate the least common multiple of 107 and 7.
749
Calculate the common denominator of 11/116 and 7/72.
2088
What is the common denominator of -55/4 and 85/128?
128
What is the lowest common multiple of 125 and 125?
125
Find the common denominator of 3/20 and 19/842.
8420
Calculate the common denominator of 73/78 and 15/11.
858
Find the common denominator of -37/4 and -69/80.
80
Calculate the least common multiple of 1 and 82.
82
Find the common denominator of -23/174 and 143/6.
174
Calculate the lowest common multiple of 1250 and 375.
3750
Calculate the smallest common multiple of 216 and 48.
432
What is the least common multiple of 56 and 160?
1120
Calculate the common denominator of -107/30 and -143/1044.
5220
What is the lowest common multiple of 115 and 5?
115
Find the common denominator of -65/2772 and -157/6160.
55440
What is the common denominator of 157/198 and 111/88?
792
What is the common denominator of 11/87 and 16/3?
87
What is the common denominator of 85/6 and 13/4?
12
Calculate the smallest common multiple of 24 and 4.
24
Calculate the lowest common multiple of 1280 and 8.
1280
Find the common denominator of 40/9 and -33/80.
720
What is the lowest common multiple of 18 and 112?
1008
What is the smallest common multiple of 6024 and 40?
30120
What is the lowest common multiple of 299 and 195?
4485
What is the common denominator of -77/16 and -55/2108?
8432
Calculate the lowest common multiple of 1092 and 56.
2184
Calculate the common denominator of 73/56 and 37/24.
168
Calculate the lowest common multiple of 279 and 124.
1116
What is the common denominator of -1/147 and -53/21?
147
Calculate the smallest common multiple of 33 and 204.
2244
What is the lowest common multiple of 627 and 10?
6270
Calculate the common denominator of -7/3 and 11/4806.
4806
Calculate the lowest common multiple of 676 and 1521.
6084
What is the smallest common multiple of 152 and 32?
608
What is the lowest common multiple of 6 and 3?
6
Calculate the smallest common multiple of 50 and 155.
1550
What is the smallest common multiple of 376 and 2?
376
Find the common denominator of -81/10 and 7/8.
40
Calculate the smallest common multiple of 4446 and 442.
75582
Find the common denominator of -89/75 and 73/840.
4200
Find the common denominator of 29/12 and 9/7694.
46164
What is the common denominator of -55/2149 and 73/35?
10745
What is the least common multiple of 756 and 40?
7560
Calculate the lowest common multiple of 55 and 3.
165
Find the common denominator of 57/1445 and 48/85.
1445
Calculate the lowest common multiple of 5 and 357.
1785
What is the common denominator of -88/105 and 16/49?
735
What is the least common multiple of 48 and 67?
3216
Find the common denominator of -53/504 and 107/504.
504
What is the lowest common multiple of 8 and 3005?
24040
Calculate the least common multiple of 56 and 2128.
2128
Calculate the smallest common multiple of 1872 and 1040.
9360
What is the common denominator of 18/91 and 39/11?
1001
Calculate the smallest common multiple of 9 and 117.
117
Calculate the common denominator of -61/5 and 29/169.
845
Calculate the common denominator of -95/12 and 11/2846.
17076
What is the lowest common multiple of 180 and 60?
180
Calculate the smallest common multiple of 2191 and 626.
4382
What is the smallest common multiple of 260 and 100?
1300
What is the least common multiple of 261 and 261?
261
Calculate the smallest common multiple of 90 and 4.
180
What is the lowest common multiple of 8 and 1770?
7080
What is the common denominator of 1/109 and -113/6?
654
Calculate the common denominator of -163/450 and -82/1395.
13950
What is the common denominator of -131/144 and 97/72?
144
Find the common denominator of 11/24 and 45/236.
1416
Calculate the smallest common multiple of 36 and 6.
36
What is the least common multiple of 1680 and 54?
15120
Calculate the least common multiple of 20 and 2820.
2820
What is the least common multiple of 4 and 320?
320
What is the lowest common multiple of 459 and 33?
5049
What is the common denominator of 59/171 and 47/33?
1881
What is the lowest common multiple of 936 and 5200?
46800
Calculate the least common multiple of 960 and 30.
960
What is the common denominator of -71/100 and -1/10?
100
Find the common denominator of 16/15 and 25/4.
60
Find the common de | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 1 j and 1 x when two letters picked without replacement from {x: 5, p: 1, j: 2, n: 6, o: 2}?
1/12
What is prob of picking 2 h when two letters picked without replacement from hehehhehhhhhheheheh?
26/57
Two letters picked without replacement from {c: 6, x: 1, r: 7, z: 6}. What is prob of picking 2 z?
3/38
What is prob of picking 1 q, 1 b, and 1 o when three letters picked without replacement from oqnmnqqnsnsb?
3/220
Three letters picked without replacement from jejjeee. Give prob of picking 2 e and 1 j.
18/35
What is prob of picking 2 z and 1 q when three letters picked without replacement from qoqqozuzuqz?
4/55
What is prob of picking 1 x, 1 w, 1 v, and 1 p when four letters picked without replacement from {x: 1, u: 1, v: 2, p: 3, w: 1, y: 4}?
2/165
Three letters picked without replacement from {c: 1, p: 2, t: 2, x: 1}. What is prob of picking 1 c and 2 p?
1/20
Two letters picked without replacement from {p: 1, b: 2, d: 7, u: 8}. Give prob of picking 1 d and 1 u.
56/153
Two letters picked without replacement from {e: 1, m: 1, v: 1, k: 2, u: 1, c: 1}. Give prob of picking 1 m and 1 v.
1/21
Three letters picked without replacement from xebgxbkgkkek. Give prob of picking 2 k and 1 x.
3/55
What is prob of picking 2 x and 1 f when three letters picked without replacement from {x: 3, c: 1, f: 4, y: 10}?
1/68
Calculate prob of picking 3 q when three letters picked without replacement from vqggqvvq.
1/56
Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {b: 2, f: 1, h: 3, t: 6, g: 1}.
1/39
Calculate prob of picking 1 p and 1 w when two letters picked without replacement from gvpwiyg.
1/21
Three letters picked without replacement from mvmm. Give prob of picking 1 v and 2 m.
3/4
Three letters picked without replacement from swiwwiscvivwww. What is prob of picking 2 w and 1 v?
15/182
Four letters picked without replacement from {s: 2, i: 3, x: 5}. Give prob of picking 3 i and 1 x.
1/42
Two letters picked without replacement from {e: 4, i: 2}. What is prob of picking 1 i and 1 e?
8/15
What is prob of picking 1 d and 1 s when two letters picked without replacement from sjdjlejssjjl?
1/22
Calculate prob of picking 4 n when four letters picked without replacement from {n: 6, z: 2}.
3/14
Four letters picked without replacement from {c: 3, n: 3, a: 5, x: 6}. Give prob of picking 1 n, 2 c, and 1 a.
9/476
Calculate prob of picking 1 k and 2 a when three letters picked without replacement from {a: 2, k: 1, x: 2}.
1/10
Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {r: 2, v: 2, o: 2, u: 1, z: 1}.
1/28
What is prob of picking 1 i and 1 c when two letters picked without replacement from ttitiitttttppctipt?
4/153
Calculate prob of picking 2 l and 2 x when four letters picked without replacement from xxllxlx.
18/35
Calculate prob of picking 2 k when two letters picked without replacement from ccwcccgkwkkb.
1/22
Two letters picked without replacement from twwtitr. Give prob of picking 1 w and 1 t.
2/7
Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, r: 1, s: 1}.
1/6
Three letters picked without replacement from {i: 1, f: 3, j: 1, b: 2, p: 3}. What is prob of picking 1 j, 1 f, and 1 p?
3/40
What is prob of picking 1 d and 1 h when two letters picked without replacement from ddgagdahdh?
8/45
Two letters picked without replacement from dylaallydllalyl. What is prob of picking 1 y and 1 d?
2/35
Three letters picked without replacement from srllljbjlrllrrr. What is prob of picking 1 r, 1 s, and 1 j?
2/91
Calculate prob of picking 2 n when two letters picked without replacement from vtnntgt.
1/21
Three letters picked without replacement from {k: 2, q: 7}. Give prob of picking 2 k and 1 q.
1/12
Two letters picked without replacement from {p: 7, h: 1, s: 2}. What is prob of picking 1 h and 1 p?
7/45
Two letters picked without replacement from {s: 5, y: 3, n: 3}. Give prob of picking 1 n and 1 y.
9/55
Three letters picked without replacement from fkpepkeeeefekpefsekk. What is prob of picking 1 k, 1 f, and 1 s?
1/76
What is prob of picking 4 v when four letters picked without replacement from xxxvvlvlllvlymlm?
1/1820
Four letters picked without replacement from frkstfw. Give prob of picking 1 t, 1 k, and 2 f.
1/35
Two letters picked without replacement from {p: 3, m: 13, w: 1}. What is prob of picking 1 p and 1 m?
39/136
Two letters picked without replacement from heqxz. Give prob of picking 1 h and 1 q.
1/10
Four letters picked without replacement from agaggaagaaa. Give prob of picking 4 g.
1/330
Three letters picked without replacement from iuiauaiuan. Give prob of picking 1 i, 1 n, and 1 a.
3/40
Four letters picked without replacement from {b: 2, g: 6}. What is prob of picking 2 b and 2 g?
3/14
What is prob of picking 3 m when three letters picked without replacement from mmamammmamm?
56/165
Four letters picked without replacement from ddllxxdlllxlx. What is prob of picking 2 l and 2 x?
18/143
Four letters picked without replacement from {s: 5, q: 3}. Give prob of picking 4 s.
1/14
Four letters picked without replacement from jjwwywwwj. What is prob of picking 2 w, 1 j, and 1 y?
5/21
Four letters picked without replacement from kketfetkeffotjeefetj. What is prob of picking 3 k and 1 t?
4/4845
What is prob of picking 3 b and 1 f when four letters picked without replacement from {j: 4, b: 3, f: 1}?
1/70
Three letters picked without replacement from nppnqnnnpppppppnp. Give prob of picking 1 n, 1 q, and 1 p.
3/34
Calculate prob of picking 3 p and 1 o when four letters picked without replacement from oppopppppppppppppp.
56/153
Four letters picked without replacement from zzozoeznzzzn. Give prob of picking 1 e, 1 n, 1 o, and 1 z.
28/495
Four letters picked without replacement from vfvbfvvefvf. Give prob of picking 1 b and 3 v.
1/33
Four letters picked without replacement from xikiiikiiixii. What is prob of picking 2 k and 2 i?
36/715
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {j: 2, g: 1, n: 1}.
1/6
What is prob of picking 3 b and 1 a when four letters picked without replacement from {a: 2, b: 4, s: 2}?
4/35
Two letters picked without replacement from lcrgccgkgcgcgcklkc. Give prob of picking 1 l and 1 r.
2/153
Three letters picked without replacement from gggusszsqzgqzsgzg. Give prob of picking 1 u and 2 z.
3/340
Two letters picked without replacement from {a: 3, v: 2, s: 1, t: 2, r: 4, l: 3}. Give prob of picking 1 v and 1 l.
2/35
What is prob of picking 3 f when three letters picked without replacement from bbxxxfbxfbfbbbxb?
1/560
Two letters picked without replacement from {j: 1, b: 2, x: 2, h: 1}. Give prob of picking 1 h and 1 j.
1/15
Calculate prob of picking 2 b and 1 i when three letters picked without replacement from bibibbbbbiirr.
42/143
Two letters picked without replacement from {y: 1, j: 1, u: 1, l: 1, c: 1, r: 2}. What is prob of picking 1 y and 1 r?
2/21
Two letters picked without replacement from myp. What is prob of picking 1 p and 1 y?
1/3
What is prob of picking 1 f, 2 z, and 1 y when four letters picked without replacement from yzyzzzyzzfyyzyz?
8/65
Calculate prob of picking 1 h, 1 w, and 1 g when three letters picked without replacement from ggggggggggggwghww.
39/680
Two letters picked without replacement from sklslsktbsk. Give prob of picking 1 b and 1 l.
2/55
Calculate prob of picking 3 o when three letters picked without replacement from oooxxxoxoxxxx.
5/143
Two letters picked without replacement from msmsmmsmsmm. What is prob of picking 2 s?
6/55
What is prob of picking 3 k when three letters picked without replacement from {s: 1, a: 2, k: 1}?
0
Four letters picked without replacement from makmmyumukmkmmkuu. What is prob of picking 2 k, 1 u, and 1 a?
6/595
Four letters picked without replacement from {d: 1, v: 2, q: 6, w: 4, c: 4}. Give prob of picking 1 v and 3 d.
0
Two letters picked without replacement from {s: 2, v: 2, m: 2, o: 2}. What is prob of picking 1 m and 1 s?
1/7
What is prob of picking 4 c when four letters picked without replacement from {c: 9, s: 2}?
21/55
Calculate prob of picking 1 d, 1 v, and 1 s when three letters picked without replacement from {s: 4, r: 2, | {
"pile_set_name": "DM Mathematics"
} |
o be 2*-4 + 4 + 7. What is the derivative of 4*v - 4*v - o - 1 - 11*v**4 wrt v?
-44*v**3
Let a be 156/60 - (-2)/5. Find the third derivative of 21*v**5 + a*v**6 - 3*v + 123*v**2 + 0*v**6 - v**6 - 119*v**2 wrt v.
240*v**3 + 1260*v**2
Find the third derivative of 56*o**3 - 3*o**2 - 25*o**2 + 2 + 8*o**3 + 55*o**3 - 45*o**2 wrt o.
714
Let g(b) be the first derivative of -3*b**6/5 + 3*b**4/2 - 9*b - 12. Let n(f) be the first derivative of g(f). What is the third derivative of n(u) wrt u?
-432*u
Let i(y) = 25 - 18*y**2 - 36*y**3 - 5*y**3 + 18*y**2. Let a(p) = 20*p**3 - 12. Let l(r) = 7*a(r) + 4*i(r). Differentiate l(m) with respect to m.
-72*m**2
Suppose b = -5*x + 1935, 5*x + 5*b - 1527 = x. Let p = -273 + x. Find the third derivative of -3*m**2 + 115*m**3 - p*m**3 + 3*m**4 wrt m.
72*m
Let r(a) = a. Let t(l) = -20 - 28 + 38 + 3*l. Let c(q) = 5*r(q) - t(q). Differentiate c(s) with respect to s.
2
What is the first derivative of 276 - 965 + 54*f**3 + 106*f**3 + 45*f**3 wrt f?
615*f**2
Suppose 2*q - 21 = -3. Differentiate -q + 5*m**4 + 2*m**4 - m**4 + 12*m**4 wrt m.
72*m**3
Suppose 7*w = 3*g + 3*w - 87, -2*g = -4*w - 62. Find the second derivative of g*b**5 + 17 - 26*b - 34 + 17 wrt b.
500*b**3
What is the first derivative of -20*f + 49*f - 15*f - 1156*f**3 + 410*f**3 + 181 - 13*f wrt f?
-2238*f**2 + 1
What is the third derivative of 114*p + 0 + 5 - 114*p - 25*p**4 + 33*p**2 - 96*p**4 wrt p?
-2904*p
Let k = 4 + 6. Let u be ((-4)/k)/(11/(-55)). What is the second derivative of -6*f + f + u*f**2 + 0*f**2 - 8*f**2 wrt f?
-12
Let j(a) be the third derivative of a**6/360 - a**5/60 - a**4/4 - 15*a**2. Let i(f) be the second derivative of j(f). Differentiate i(t) with respect to t.
2
Let y be (12 - 7) + (-3 - -1). Suppose -v - 5 - 4 = -y*p, -v = -p + 5. What is the first derivative of -p*l**3 - 6*l**4 + 1 + 2*l**3 + 12*l**4 wrt l?
24*l**3
Let s = 1/383 - -363/7660. Let b(w) be the second derivative of 0*w**3 - 2*w**2 - s*w**5 + 0*w**4 + 0 + 5*w. Differentiate b(z) with respect to z.
-3*z**2
Suppose 9*u + 754 = 781. Let g(i) be the third derivative of 0 + 0*i - 1/60*i**6 + 0*i**5 + 0*i**4 - 4*i**2 - i**u. What is the first derivative of g(n) wrt n?
-6*n**2
Let p(q) be the first derivative of -67*q**4/4 + 13*q**2 - 80. Find the second derivative of p(l) wrt l.
-402*l
Let i(k) = k**2 - 3*k - 7. Let v be i(6). What is the second derivative of 8*h - 15*h + v*h + 14*h**4 wrt h?
168*h**2
Suppose -4*j + j = -3. Let v = 11 + j. What is the third derivative of 13*l**5 - v*l**5 - 13*l**5 + 11*l**2 wrt l?
-720*l**2
Suppose 4*i + 0*f = 5*f + 4, -i - 14 = -5*f. What is the first derivative of 11*a**4 - i*a**4 - 11 + 5*a**4 wrt a?
40*a**3
Let f(n) = 10*n**4 + n**3 + 7*n**2 - 7*n - 4. Let t(r) = -r**4 + r**2 - 2*r - 1. Let s(m) = -f(m) + 4*t(m). Find the third derivative of s(c) wrt c.
-336*c - 6
Suppose 5*d - 59 - 13 = 3*x, -5*d - 3*x + 78 = 0. Find the third derivative of 2 - 2 + 15*g**2 + 0 - d*g**3 wrt g.
-90
Let a(x) be the second derivative of 0*x**2 + 0*x**3 + 0*x**5 - 15*x + 0*x**7 + 0 + 0*x**6 - 1/4*x**4 + 11/56*x**8. What is the third derivative of a(l) wrt l?
1320*l**3
Let q(k) be the third derivative of 0*k + 1/20*k**5 + 1/2*k**4 + 0*k**3 - 11*k**2 + 0. What is the second derivative of q(u) wrt u?
6
Differentiate -1 - 31 - 15 + 13 - 20 + 275*r wrt r.
275
Let w(v) = -90*v**2 + 28. Let b(q) = -91*q**2 + q + 27. Let z(x) = -2*b(x) + 3*w(x). Find the second derivative of z(a) wrt a.
-176
Let g(c) = 91*c**2 - 6*c + 26. Let f(z) = -6*z - 1. Let h(x) = f(x) - g(x). Find the first derivative of h(j) wrt j.
-182*j
Let x(s) = -s + 12. Let b be x(10). What is the third derivative of -41*l**2 + 25*l**b + 0 - 15*l**3 + 0 wrt l?
-90
Let q(j) = -4*j**3 + 220*j**2 - 24*j + 3. Let p(u) = 2*u**3 - 109*u**2 + 12*u - 1. Let n(m) = -7*p(m) - 3*q(m). What is the second derivative of n(r) wrt r?
-12*r + 206
Let j(i) be the first derivative of 14/5*i**5 + 0*i**3 + 0*i**4 + 13*i - 17 + 0*i**2. Find the first derivative of j(l) wrt l.
56*l**3
Let m(u) be the second derivative of -13*u**6/15 + u**3/3 + 55*u**2/2 + 21*u. Find the second derivative of m(g) wrt g.
-312*g**2
Let a(r) = 8*r**2 - 10. Let y(p) = -2 + 13 - 4*p**2 - 3*p**2. Let m(u) = 4*a(u) + 5*y(u). What is the derivative of m(l) wrt l?
-6*l
Let z(u) be the second derivative of 2*u**6/15 - 7*u**5/20 + 2*u**4/3 - u - 4. Find the third derivative of z(n) wrt n.
96*n - 42
Let j be -2 - (76/(-6) - (-7)/(-21)). Find the third derivative of 5*a**2 + 10*a**2 - 12*a**6 - j*a**2 + 5*a**2 wrt a.
-1440*a**3
Let s be (4/6)/((-14)/(-105)). Suppose -2*j + 8 = 4*x, s*j + 2*x + 0*x - 12 = 0. What is the third derivative of 0*p**2 + 3*p**3 - 3*p**j + p**3 wrt p?
24
Let b(m) = 137*m**2 + 13*m + 2. Let g(u) = -68*u**2 - 6*u. Let p(h) = -3*b(h) - 7*g(h). Find the second derivative of p(k) wrt k.
130
Let y(k) be the first derivative of 37*k**4/2 - 18*k**3 + 76. What is the third derivative of y(q) wrt q?
444
Suppose 0*f + 2*h - 25 = -5*f, 4*f + 4*h = 20. What is the second derivative of -5*m**5 - 11*m - 2*m**2 - 24*m + 4*m**f wrt m?
-20*m**3 - 4
Let j(l) = l + 6. Suppose 3*d = 5*b - 19, -2*b + 5 = -5*d - 14. Let k be j(d). Find the first derivative of -4*y**3 - 2 + 3*y**3 - 5*y**k wrt y.
-18*y**2
Let y = -13 + 21. Let f be 3 - (-1 - (1 + 1)). Differentiate -y - u**2 + f + 4*u**2 wrt u.
6*u
Let m(l) = 8*l**4 + 7*l**2 + 1. Let g(j) = -4*j**4 - 3*j**2. Let q = 24 - 10. Let r(d) = q*g(d) + 6*m(d). What is the first derivative of r(x) wrt x?
-32*x**3
Let w(i) be the first derivative of 17*i + 0*i**2 + 13/3*i**3 + 22. Find the first derivative of w(c) wrt c.
26*c
Suppose c + 12 = 5*c. Let v(q) = -q**3 + 11*q**2 + 10*q + 36. Let b be v(12). Find the second derivative of -15*i**c - 13*i**4 + 3*i**3 - 6*i + b*i**3 wrt i.
-156*i**2
Let k(i) = -3*i - 10. Let a be k(-3). Let h(b) = -12*b**2 + 6*b - 1. Let c(u) = -u**2 - u + 1. Let y(x) = a*h(x) - 6*c(x). Differentiate y(n) with respect to n.
36*n
Let j(l) be the third derivative of 22*l**6/15 - l**4/24 - 271*l**3/6 - l**2 + 25*l. What is the derivative of j(n) wrt n?
528*n**2 - 1
Let t be 51/9 - (-8)/(-12). Find the second derivative of -15*v + 13*v - 6*v + 9*v**t - v**5 wrt v.
160*v**3
Suppose -5*k - 26 = -46. Differentiate 2 - 1 + 5 + 5*o + k wrt o.
5
What is the first derivative of 604*q - 1202*q - 106 + 553*q wrt q?
-45
Let a(o) = -15*o + 9. Suppose -7*l + 10 = -5*l. Let x(d) = -8*d - 4*d - 10*d + 13. Let i(p) = l*x(p) - 7*a(p). Differentiate i(k) with respect to k.
-5
Suppose -64 = -2*m - 14. Find the first derivative of -5*q + 4*q - m*q - 27 wrt q.
-26
Suppose -6*w + 5*w + 2 = 0. What is the second derivative of -4*o + w*o + 3*o**5 - 15*o**5 wrt o?
-240*o**3
Let j(c) be the first derivative of 2*c**5/5 - 135*c**4/4 - 71*c**3/3 - 26. Find the third derivative of j(i) wrt i.
48*i - 810
Let d(o) be the first derivative of -3*o**4/2 - 12*o**2 - 632*o + 641. Find the first derivative of d(y) wrt y.
-18*y**2 - 24
Let q(s) be the first derivative of 54*s**5/5 - 201*s**2 - 259. What is the second derivative of q(n) wrt n?
648*n**2
Let j(c) = c**2 - 15*c - 41. Let w be j(18). Suppose 0 = g - 13 - 0. What is the third derivative of -u**3 - 5*u**3 - 3*u**2 + w*u**2 + g*u**3 wrt u?
42
Let i = 7 - 2. Let m(d) = -d**3 - 3*d**2 - d + 1. Let y be m(-3). What is the second derivative of -i*q + 7*q - 2*q**y - q wrt q?
-24*q**2
Let s(i) be the first derivative of -25*i**6/6 - 3*i**5/5 - 42*i**2 + 48. What is the second derivative of s(z) wrt z?
-500*z**3 - 36*z**2
Let d(i) be the first derivative of 13*i**4/12 - 4*i**3/3 + 14*i - 10. Let r(t) be the first derivative of d(t). What is the second derivative of r(m) wrt m?
26
Let d(v) be the second derivative of 0 + 11/30*v**6 + 0*v**3 - 6*v + 0*v**5 - 4/3*v**4 + 0*v**2. What is the third derivative of d(z) wrt z?
264*z
Let q be (0 - 4)*(-1 - -2). Let d be 2*((-4 - -10) + q). What is the third derivative of 0*h**2 - 9*h**2 + d*h**2 + 6*h**6 wrt h?
720*h**3
Let f(z) be the third derivative of 53*z**5/12 + z**4/2 - z**3 + 13*z**2 - 6*z. Find the second derivative of f(x) wrt x.
530
What is the first derivative of 67 + 16*d + 23 - 14*d + 108 - 20*d**2 wrt d?
-40*d + 2
Let b be 2 + 2/((-6)/(-3)). Let l = b + 1. Find the second derivative of 5*i**4 - l*i**4 + 5*i - 3*i**4 - 2* | {
"pile_set_name": "DM Mathematics"
} |
2 (b) 2 (c) -0.2
c
What is the nearest to -25/3 in -2, 3, 0.5, 6?
-2
What is the closest to -1/4 in -30, 4, -5, -28?
4
What is the closest to -1/2 in -5, -4, -0.01, -38943?
-0.01
Which is the closest to -2/5? (a) 3.52 (b) -1/10 (c) -1 (d) 2
b
What is the nearest to 0.1 in -389, -11, 35?
-11
What is the nearest to -1.02 in -0.01, -4, 4, 0?
-0.01
What is the closest to 0.1 in -0.143, 2, 2/7, -3?
2/7
Which is the closest to -0.2? (a) -2/31 (b) 0.3 (c) 346/5 (d) -6 (e) 2/3
a
Which is the closest to 117? (a) -3 (b) -18 (c) -4 (d) 0.046
d
Which is the nearest to 2/5? (a) -5 (b) -2/3 (c) -51 (d) -2/5
d
What is the closest to -1/4 in -2/5, -2/43, 719, 2?
-2/5
What is the closest to 0.1 in -1/104, 11, -0.02?
-1/104
What is the closest to 0 in -3, 1.6, 25/4, -2/5?
-2/5
Which is the nearest to 0.07? (a) -55 (b) -2/11 (c) 3 (d) 1
b
What is the nearest to -2 in 0, -9/2, -0.19?
-0.19
What is the closest to -2/13 in 50, 2/27, -5?
2/27
What is the closest to 2/5 in -2, -2/23, 1, 14?
-2/23
What is the closest to 0.1 in -0.57, -2, 3319?
-0.57
Which is the closest to -219.4? (a) 44 (b) -1/7 (c) -5
c
Which is the nearest to -994.3? (a) -2 (b) 4 (c) 3 (d) 2/5
a
Which is the closest to -1? (a) -1/1756 (b) -1/2 (c) 86
b
Which is the nearest to 0.5? (a) -0.3 (b) -1 (c) -17.942
a
Which is the nearest to -0.1? (a) -2 (b) 432 (c) 2 (d) 4/5 (e) 4
d
What is the nearest to 1/169 in -1/3, 15, -0.1?
-0.1
What is the nearest to -3 in -0.1, -1/18, -26?
-0.1
Which is the nearest to -33? (a) -1 (b) -7/5 (c) -0.3 (d) -3 (e) -0.4
d
Which is the nearest to 1/8? (a) 1/1618 (b) -1 (c) 1
a
Which is the nearest to 7/6? (a) 0 (b) 201 (c) 0.04 (d) 3/4
d
What is the closest to -4 in 1/149, 2/63, -0.5?
-0.5
What is the closest to 10576 in 0, 2/15, -0.5?
2/15
Which is the closest to 0.3? (a) 2/649 (b) 2/9 (c) 4 (d) -0.5
b
Which is the closest to -1? (a) 5 (b) -2/7 (c) -0.3 (d) -3 (e) 335
c
Which is the closest to -94? (a) 0 (b) 5/8 (c) -4/9
c
What is the closest to -572 in -4, 10, 7/3?
-4
Which is the nearest to -13716? (a) -1 (b) 6 (c) -7
c
What is the nearest to -1 in 1/9, 12/13, 23?
1/9
Which is the closest to 2/3? (a) -1.1 (b) 4 (c) 92
a
Which is the nearest to 1064? (a) 7 (b) -1 (c) -4/7
a
What is the closest to -2/7 in 0.4, 274, -0.2, 2.7?
-0.2
Which is the nearest to -2306/7? (a) -4 (b) 1 (c) 5
a
Which is the nearest to -3? (a) -2/9 (b) 653 (c) -2.2 (d) -5
c
Which is the nearest to 0.1? (a) -0.7 (b) 0.3 (c) 1 (d) 7/10
b
What is the nearest to 0.2 in -18, 0.01, -29?
0.01
Which is the closest to 0.1? (a) -0.2 (b) -3/4 (c) 0.03 (d) 3.5
c
What is the nearest to -0.5 in 10, -4, 6.9, 2?
2
Which is the nearest to -3? (a) 5 (b) 4/5 (c) 2/5 (d) -8
c
What is the closest to 0.1 in 830/7, -1, 0.2?
0.2
What is the nearest to -1/4 in 0.3, -3/8, 2, -0.2, 87/4?
-0.2
What is the closest to -3 in -0.4, -2, -0.06, 56?
-2
Which is the closest to -2? (a) 0.5 (b) -3/4 (c) -4/37 (d) -0.113 (e) 3
b
Which is the closest to 1? (a) 1 (b) -1/2 (c) -114 (d) 3 (e) 5
a
What is the nearest to -21 in 15, 0, -2, 2/17?
-2
Which is the closest to -2/3? (a) -1 (b) 5 (c) -2 (d) 88
a
Which is the nearest to -91? (a) -4/13 (b) 0.1 (c) -2
c
Which is the closest to -2/3? (a) -3 (b) 1/3 (c) -1 (d) -98 (e) -7/8
e
What is the nearest to 0.1 in -6, 2/11, 0.2, -2/1375, -1/3?
2/11
Which is the nearest to -0.2? (a) 196 (b) 1/4 (c) 4/7 (d) 3
b
What is the closest to -0.5 in -9, 2/3, -21, -19, 1/3?
1/3
Which is the nearest to 0.1? (a) -0.4 (b) -0.05 (c) -10 (d) 0.1 (e) -35
d
What is the closest to 0 in -2, 3, -16, 874, -5/4?
-5/4
What is the nearest to 1 in -0.5, 0.08, -58/5?
0.08
Which is the closest to 0.1? (a) 1/37 (b) -17 (c) 0.2 (d) 5 (e) 1
a
Which is the closest to 0.7? (a) -4 (b) -0.089 (c) -3 (d) -4/3
b
What is the closest to 2/9 in 3, -31, 0.05, -0.7?
0.05
What is the closest to -1/3 in 0, 6, 2, -2/1199?
-2/1199
Which is the nearest to 2? (a) -2 (b) -1 (c) -0.09 (d) 2/7 (e) -1/3
d
Which is the closest to 2/3? (a) 2/39 (b) -3.4 (c) 5 (d) -40
a
Which is the nearest to 2/37? (a) 4 (b) 0.7 (c) -0.11 (d) 0.2
d
What is the closest to 3 in -7/3, -2453, 2/5?
2/5
What is the nearest to -52 in -578, 0, 2/5, 1/3, -2?
-2
Which is the closest to -0.2? (a) 3/5 (b) -2/63 (c) 10 (d) -5
b
Which is the closest to 0.1? (a) 3 (b) 265 (c) -1/2 (d) 4.8 (e) 0.5
e
What is the closest to 10 in -5, 0.1, -398?
0.1
What is the closest to 0 in 4396.51, -1/3, -3?
-1/3
What is the closest to 50 in -0.15, -3, -0.07, 7?
7
Which is the nearest to 2? (a) 1 (b) 2/7 (c) -4/5 (d) 4/3
d
Which is the closest to 36? (a) 0 (b) -10 (c) 1/12
c
What is the nearest to 2 in 6, -489, -2/15, -0.5, -0.2?
-2/15
What is the nearest to 115/1199 in -0.1, -0.3, -2?
-0.1
Which is the nearest to -0.9? (a) 5 (b) 1/4 (c) -2 (d) -1/2 (e) -2546
d
Which is the nearest to 1? (a) -4 (b) 10/11 (c) -2.71
b
Which is the nearest to 3.3? (a) 0.11 (b) 3 (c) 4 (d) 0.6
b
What is the closest to -19 in -1/6, -0.3, -3?
-3
What is the closest to -0.1 in 0.1, -0.018, -2/25, 1, -0.4?
-2/25
Which is the closest to -3? (a) 0.15 (b) 3 (c) 2 (d) 1/38
d
What is the closest to 2/5 in 0, -0.5, 0.9302, 2/3?
2/3
Which is the closest to 471? (a) 5 (b) 0.5 (c) 2
a
Which is the nearest to 1/2? (a) -3517 (b) -21/8 (c) 1
c
Which is the nearest to -7? (a) 2/9 (b) 27 (c) 5 (d) 3/2
a
What is the nearest to 0.0326 in -9/4, 0.1, -5?
0.1
Which is the nearest to 3/5? (a) 1/12 (b) 2 (c) 1397
a
What is the closest to -6 in 2, 4/7, -218, -0.1?
-0.1
Which is the closest to -3/2? (a) -0.76 (b) 5 (c) -13 (d) -0.4 (e) 3/2
a
Which is the nearest to 0.12? (a) 1 (b) -5 (c) -3 (d) -1975 (e) 0.1
e
What is the nearest to -14/3 in 3, -2, 5, -3/5?
-2
Which is the nearest to 85/6? (a) -5 (b) 2/5 (c) -7 (d) -1/2
b
Which is the closest to -14? (a) 0.4 (b) -14 (c) -176/7
b
What is the nearest to -1 in 1485, -0.2, -4, 0.4?
-0.2
Which is the nearest to -2/9? (a) 1/4 (b) 187 (c) -4 (d) 0 (e) 1
d
Which is the nearest to -1? (a) -7 (b) 1 (c) -439/59
b
Which is the nearest to -0.13? (a) -0.5 (b) 2/1093 (c) -0.1 (d) 0
c
Which is the nearest to 2/89? (a) 5 (b) 7 (c) -2 (d) -2/39
d
What is the closest to 0 in 7, -0.2, -17?
-0.2
What is the closest to 0.6 in -5, -15, -2/9, 6?
-2/9
What is the closest to -0.2 in -0.4, -49, 227, 3/7?
-0.4
Which is the nearest to 2/1211? (a) 4 (b) -2/9 (c) -0.3 (d) 3
b
Which is the nearest to 83? (a) -2/7 (b) 1 (c) 4.2 (d) -1
c
What is the nearest to 13/42 in 0, -19, 2, 4?
0
Which is the nearest to 0? (a) 5 (b) 0.2 (c) -2/7 (d) -111
b
Which is the nearest to 1/3? (a) 5 (b) 2 (c) -0.91 (d) 1 (e) 0.4
e
What is the closest to 1/3 in 5, -6, 19, 3?
3
Which is the closest to -1/4? (a) -1.02 (b) -1/8 (c) 4/11 (d) 0.5 (e) -26/3
b
What is the closest to 1 in 2/9, 0.2, 110, -9?
2/9
Which is the nearest to -2/3? (a) 3 (b) -3/8 (c) -1 (d) 0.549
b
What is the closest to 0.2 in -2/3, 0.071, -1, -0.3, 3.6?
0.071
What is the closest to 1 in 5/4, -6/5, 3, 0.5?
5/4
What is the nearest to -0.3 in 16, 2, 1, -2/35?
-2/35
What is the nearest to 2 in 0.1, 0.5, 5, 5487?
0.5
What is the nearest to 1 in -0.05, 1/8, 232?
1/8
What is the nearest to 0.003 in -11, 0.93, 0.6?
0.6
What is the closest to -7 in -10, -2, -273, 1?
-10
What is the nearest to -2/7 in 7, -67, 2/39, -3?
2/39
What is the nearest to 158.6 in 4/7, -5, -3, 0.1, 3/5?
3/5
Which is the closest to -1? (a) -0.1 (b) -325.5 (c) 2/13
a
What is the nearest to 1 in 0.3, 19, -5, 57?
0.3
Which is the closest to 12? (a) 0.2 (b) 0.11 (c) 35 (d) -3/2
a
What is the closest to -1/6 in -1, 0.4, -214, 5?
0.4
Which is the closest to 0.3? (a) -3 (b) -1/9 (c) -14
b
What is the closest to 7 in 744, -5, 1/2?
1/2
Which is the nearest to 0.1? (a) -4 (b) 0.9 (c) 29/16 (d) -2/45
d
What is the closest to -7/20 in 0.4, -2, 1/3, 0?
0
What is the nearest to 0 in 5, -32, 2?
2
What is the closest to 11/3 in 5, 0, 85?
5
What is the nearest to 1.4 in 2, -0.5, -1, -1/411?
2
What is the nearest to 0.258 in -10, -0.5, 11/3, -5?
-0.5
What is the nearest to 2/27 in 0.4, -2.43, 1/5, -37, 2?
1/5
What is the closest to -0.1 in -4/7, -0.1, -0.0805, 0.04?
-0.1
| {
"pile_set_name": "DM Mathematics"
} |
to -36 in 0.2, -2, 4/11, 1/3?
-2
What is the closest to 3/29 in 0, 2/5, 4, 16?
0
What is the nearest to 0.043 in 0.1, 4, -211?
0.1
What is the nearest to 34.9 in -1/2, 1.1, 1?
1.1
Which is the nearest to 0.389? (a) -0.3 (b) 5 (c) 10
a
What is the nearest to -3 in 2/41, -1/11, 2/3?
-1/11
Which is the nearest to -4/21? (a) -2/149 (b) 15 (c) -0.09
c
Which is the nearest to -4? (a) 2 (b) 4 (c) 2/3 (d) 2/73 (e) 38
d
What is the closest to 1 in -26, 7.45, 7?
7
Which is the closest to 0.094? (a) 0.06 (b) 3 (c) -9 (d) -2/5 (e) -5
a
Which is the closest to 0? (a) -1 (b) 3.665 (c) 0.4 (d) 0.5
c
What is the closest to 0 in 2.76, 1, -3, 0.6?
0.6
Which is the closest to 6/11? (a) -9 (b) -4 (c) 32/7 (d) 1/2
d
Which is the closest to 0.1? (a) 0.53 (b) -5 (c) 2 (d) 27
a
Which is the nearest to 1/2? (a) -2 (b) 2 (c) -4 (d) 183/8
b
Which is the closest to 0.1? (a) 1/5 (b) 1/2 (c) 3036 (d) 16
a
What is the nearest to -770 in 2/5, 0.3, 0, -0.1, 1/2?
-0.1
What is the nearest to 1 in 31, 2/3, -4, -5, 3497?
2/3
Which is the nearest to -1? (a) 184 (b) -0.1 (c) -0.084
b
Which is the closest to -1? (a) -5 (b) 4.16 (c) 0.39
c
Which is the closest to -0.031? (a) 0.3 (b) -0.9 (c) -4.2
a
Which is the nearest to -1/2? (a) 0 (b) -1/7 (c) 24/13 (d) 1
b
Which is the closest to 541? (a) -5 (b) -6 (c) -0.05 (d) 0 (e) -2
d
What is the nearest to 0.2 in 5, 5/4, -44963, -4?
5/4
Which is the closest to 2? (a) 9/16 (b) 2/23 (c) 3/7 (d) -10/7
a
What is the closest to 0 in 15, -2/9, -5, 20?
-2/9
Which is the closest to -1/4? (a) 1 (b) 4 (c) -1226 (d) 5
a
What is the nearest to 0 in 1/4, 7, -3, -13?
1/4
What is the closest to 1/3 in 0.3, -205, -0.5, 3?
0.3
What is the nearest to -0.5 in 1, 4/5, -2/3, -0.04, 153/5?
-2/3
What is the nearest to -2/7 in 4/5, -2, -1/3, -3/7?
-1/3
Which is the nearest to 5? (a) 1.32 (b) 0.5 (c) -0.27 (d) -1
a
What is the closest to 1 in -1/43, 18, 0.2, 1?
1
Which is the nearest to -3? (a) 8 (b) 29 (c) 1
c
Which is the nearest to -2? (a) -2.36 (b) -26 (c) 8 (d) 5
a
What is the nearest to -474 in 4, 2/9, -3, 0.8?
-3
Which is the closest to -80? (a) 1/10 (b) 5/4 (c) 3 (d) 0
d
Which is the nearest to -1? (a) 4 (b) 4/3 (c) 6 (d) -0.1 (e) 763
d
Which is the closest to -1/4? (a) 0.5 (b) -5 (c) -65 (d) -1/8
d
What is the closest to -0.1 in -0.5, -1, -2/177, 9, -1/7?
-1/7
What is the closest to -4 in 0.5, 0, -811?
0
What is the nearest to 0 in 0.2, -0.5, -3/4, -0.118?
-0.118
What is the closest to -1 in -19, -3, 6/7, -30, 0?
0
What is the closest to -14 in -73, -3, -2, 1/4?
-3
Which is the nearest to -1? (a) 0.1 (b) 0 (c) -2/7 (d) 0.02 (e) -25
c
What is the nearest to -916 in -1/3, 15/11, -0.3?
-1/3
What is the closest to -6 in -0.1, -1.94, -2, 1, 0.7?
-2
Which is the nearest to 26? (a) 0.086 (b) 0.07 (c) -1/3 (d) -4/5 (e) -0.4
a
Which is the closest to 0? (a) -2/3 (b) -0.5 (c) 0.1 (d) 32/113
c
What is the closest to 4 in -5, 0.5, 840?
0.5
Which is the nearest to -0.6? (a) 4/21 (b) -1 (c) 25 (d) 3 (e) -2/9
e
What is the closest to 0.3 in -2/23, -0.2, 594?
-2/23
Which is the closest to 25/154? (a) 0.05 (b) 0.1 (c) 1/9
c
What is the nearest to -1.63 in -0.12, -1, -5?
-1
Which is the nearest to 1/2? (a) 2/11 (b) 11.9 (c) -0.2 (d) 5
a
What is the nearest to -4 in 3, 2/23, 88, -1/9?
-1/9
What is the nearest to -471 in 3/7, 0.2, -2/15, -0.5?
-0.5
What is the nearest to 0.4 in -3/8, 3, -3, -10?
-3/8
What is the nearest to -1/2 in -1718, -0.4, -4, 1.7, 2?
-0.4
Which is the closest to 1/3? (a) 92/3 (b) 3 (c) 30 (d) 2
d
What is the closest to 0.1 in -31, 0.3, 0.4, -19?
0.3
Which is the closest to 2/49? (a) 0.4 (b) 1 (c) 0 (d) -445
c
What is the nearest to 0 in -4, 3, 2.4, -0.1, -1.1?
-0.1
Which is the closest to 0.101229? (a) -4 (b) 4 (c) -5
b
Which is the nearest to -3/5? (a) -2 (b) 2/3 (c) -0.1 (d) -0.4 (e) -0.02
d
Which is the closest to -7/68? (a) 13 (b) -10 (c) 1 (d) -2/7
d
Which is the nearest to 0.1? (a) -0.5 (b) 435 (c) -4
a
What is the nearest to 0.06 in -0.2, -1/3, -0.4, 2/25?
2/25
What is the closest to -2 in -7, 0.8, 0.4, -4/27?
-4/27
Which is the closest to 0? (a) -24 (b) -0.5 (c) -62 (d) -4/3
b
Which is the closest to -2/5? (a) 0.3 (b) 10 (c) 5 (d) 3/37
d
Which is the nearest to 2/3? (a) -150 (b) -0.076 (c) 2 (d) 5
b
What is the closest to 1 in 2, -4/5, -2/37, -20?
2
What is the closest to -1 in 997, 2, 0.4, -1?
-1
What is the nearest to 9 in 2/43, -2, 105, 2/15?
2/15
Which is the nearest to 1? (a) 2/11 (b) 4 (c) 7370 (d) 3/2 (e) 1
e
Which is the closest to 8? (a) 1 (b) -0.5 (c) 5 (d) -472
c
What is the closest to -0.3 in 3/19, 2/7, -1/2, 5, 6/13?
-1/2
What is the closest to 1.3 in -2, 254, 0.2, -1/7?
0.2
What is the nearest to -3 in 1/7, 0.4, -3, 7?
-3
What is the closest to -10 in 0.106, 2/3, -0.06?
-0.06
What is the nearest to -2/9 in 2/9, 183586, -0.4?
-0.4
What is the nearest to -1/4 in -0.36, -0.4, -0.5, -1/3, -922?
-1/3
What is the closest to 2 in -1/7, -82, -14?
-1/7
Which is the closest to 95? (a) -2/3 (b) 4/3 (c) -1
b
What is the nearest to 0.1 in 0.4, -4, -40, -45?
0.4
Which is the closest to 5? (a) -1/3 (b) -34/465 (c) -5 (d) 2
d
What is the closest to 0.1 in -122, -574, -2?
-2
What is the closest to 10 in 1/2, 1/4, -0.2, 1363?
1/2
What is the nearest to -1 in -18, 4/3, 5?
4/3
Which is the closest to 0.5? (a) 1/8 (b) 4 (c) 15 (d) 0.1
a
Which is the nearest to 1? (a) 4 (b) -669 (c) 2/3 (d) 0.88
d
What is the closest to -3/5 in -57/4, -5, 0, -0.01?
-0.01
Which is the nearest to -1? (a) 0.5 (b) 6 (c) -12.4
a
Which is the nearest to 1/2? (a) -2/7 (b) -0.08 (c) 5 (d) -1/14 (e) 3/7
e
Which is the closest to 765? (a) 2/5 (b) -1/3 (c) 103 (d) -6/11 (e) -0.4
c
What is the closest to -16 in 5, -5, -0.009, -5/3?
-5
Which is the nearest to 0? (a) -3/8 (b) -126 (c) 0.2 (d) 1.3
c
Which is the nearest to -0.1? (a) 5 (b) 19.98 (c) 1
c
What is the nearest to -1 in 1/2, -19, 5/3, -0.3, 2/227?
-0.3
Which is the closest to -3119? (a) -0.3 (b) -1.1 (c) -2 (d) 0.5
c
What is the closest to 0 in 2, 9/2119, 6/11, 0?
0
Which is the nearest to 1? (a) 2 (b) 6.343 (c) 24
a
What is the nearest to 184 in -26, -0.1, 3/5, 2/11, -0.3?
3/5
Which is the nearest to 0? (a) -3/2 (b) 5 (c) 4 (d) 0.08 (e) 0.327
d
What is the nearest to -2 in 0.24, -2.3, -2/3?
-2.3
What is the nearest to -1/3 in -0.5, -9/2, -0.3, -3/13?
-0.3
Which is the closest to -4? (a) -5 (b) -22 (c) -28
a
What is the closest to 1 in -3550, -2/17, 5?
-2/17
Which is the closest to -8.8? (a) -15 (b) -4 (c) 1.7
b
Which is the nearest to 0.1? (a) -43 (b) 1/4 (c) 0.5 (d) -18
b
Which is the nearest to 4? (a) 37 (b) -604 (c) -1/6
c
Which is the nearest to 1/3? (a) 4/5 (b) -0.2 (c) 5 (d) -15
a
What is the nearest to -3 in 1, -0.3, -3863, 3?
-0.3
Which is the closest to 209? (a) 2 (b) -0.04 (c) 4
c
What is the nearest to -4/213 in 1, 2, 37?
1
What is the nearest to -1 in -0.2, 2.3, 8, 46?
-0.2
What is the closest to 0.2 in 3, -0.32, 2/61?
2/61
Which is the nearest to 4? (a) -0.1 (b) 3/5 (c) 2 (d) 0.2
c
What is the closest to 1/3 in -2, 4, 50/13, 1/12?
1/12
What is the nearest to -2/5 in 0.2, 2/3, 3, -2/9, -1.2?
-2/9
Which is the nearest to 10/17? (a) -0.3 (b) -5 (c) -0.1 (d) -4 (e) 3
c
What is the closest to -141 in -2/13, -1, -39, 1/2?
-39
Which is the closest to 278? (a) -4 (b) 0 (c) -0.2 (d) 1
d
What is the nearest to 1 in -0.2, 0.052, 0.049, 0.24?
0.24
What is the nearest to -21 in 15, -382, 1?
1
What is the closest to -24 in 1.2, -42, -3?
-42
What is the closest to 0 in -2/3, 0.3, -0.12, -2/5, 1?
-0.12
Which is the closest to 1? (a) 5 (b) 2 (c) -0.76 (d) -0.4
b
Which is the closest to -0.5? (a) 3/2 (b) 1 (c) -7 (d) -1.2 (e) -3
d
What is the nearest to -3 in 76/9, -2/3, 1?
-2/3
What is the nearest to -20.2 in -0.5, -4/5, -4, -1?
-4
What is the closest to 0.1 in 9, -5, 0.379?
0.379
What is the nearest to -3 in 2/39, -1, -25, 2/7, 4?
-1
What is the nearest to -98/5 in 4, 0.3, 3, 5, 0.5?
0.3
Which is the nearest to 3/8? (a) -6 (b) 39 (c) -6/7
c
What is the closest to 6 in -0.3, 0.5, 0.4, -78/19?
0.5
Which is the closest to -0.2? (a) -3223 (b) 1/4 (c) 1 (d) -0.27
d
Which is the | {
"pile_set_name": "DM Mathematics"
} |
et l be (-16 + 18)*-3*1. Let p(y) = 2*y + 4*y + 3*y. Let x(g) = l*m(g) - 5*p(g). Let a(c) = -c. What is a(x(b))?
-3*b
Let o(d) = d. Let w(g) = -12928*g**2 + 12952*g**2 + 158 - 191. What is w(o(i))?
24*i**2 - 33
Let y(a) = -a**2 + 11100*a + 11099*a - 22199*a. Let z(s) = 24*s**2 + 6*s. Let f(p) = p**2 + p. Let w(h) = -6*f(h) + z(h). Give w(y(v)).
18*v**4
Let v(s) = 4*s. Let h(n) = 31741192*n. What is v(h(w))?
126964768*w
Let a(d) = -5 - 108*d - 9*d + 5. Let p(h) be the third derivative of h**5/60 - 368*h**2. Determine a(p(q)).
-117*q**2
Let k(q) = -q**2 - 15*q + 3. Let t be k(-15). Let w(n) = 5*n - t + 1 + 2*n. Let d(z) be the first derivative of -z**2 - 51. Determine w(d(j)).
-14*j - 2
Let c(l) = -l**3 + l + 16. Let g be c(0). Suppose -3*w - 10 = -g. Let z(b) = -9*b + w*b - 3*b - 16*b. Let j(k) = -2*k**2. Calculate j(z(v)).
-1352*v**2
Let g(v) = -v. Let x be ((122 - 2) + 3)/(1 + 0). Let a(q) be the second derivative of 123*q**2 + q**4 + 8*q - x*q**2. Calculate a(g(d)).
12*d**2
Let d(r) = -121*r**2 + 4*r. Let z(i) = 39461*i. Calculate z(d(s)).
-4774781*s**2 + 157844*s
Let n(c) = -1468*c**2. Let g(q) = -5*q + 336. Let x(b) = -b + 84. Let v(j) = g(j) - 4*x(j). Determine v(n(m)).
1468*m**2
Let o(u) = -u - 2529. Let q(h) = -32*h - 91. Let s(l) = -14*l - 39. Let j(x) = -3*q(x) + 7*s(x). What is j(o(k))?
2*k + 5058
Let q(y) = -17*y. Let u(j) = -158957*j. Calculate q(u(r)).
2702269*r
Let i(q) = -q. Let w(c) = 7*c + 2. Let g(m) = 2 + 1 + 21*m + 2 + 2. Let h be 32/8 + (1 - 9). Let v(a) = h*g(a) + 14*w(a). Calculate v(i(z)).
-14*z
Let s(l) = -56257*l. Let c(p) = 56*p - 2. Calculate s(c(f)).
-3150392*f + 112514
Let u(f) = -605*f - 6. Let d(g) = 3438*g**2. What is u(d(o))?
-2079990*o**2 - 6
Let m(j) = 71*j**2 + 1. Let k(c) = -99932*c. Give k(m(n)).
-7095172*n**2 - 99932
Let p(h) = 3597*h. Let z(s) = 7*s**2 - s + 1. Let k(y) = -47*y**2 + 7*y - 7. Let w(t) = -k(t) - 7*z(t). Give p(w(n)).
-7194*n**2
Let v(k) = -2*k - 47. Let i(o) = -4203*o**2 + 2094*o**2 + 2102*o**2. Give i(v(u)).
-28*u**2 - 1316*u - 15463
Let j(t) = 6*t**2. Let c(z) be the first derivative of -1037*z**2/2 + 2916. Give c(j(i)).
-6222*i**2
Let t(k) = k. Let b(a) = -214793094*a**2. Determine t(b(j)).
-214793094*j**2
Let z(a) be the third derivative of -a**4 + a**2. Let k(i) = 4*i**2 - 3*i + 3. Let r(v) = -v**2 + v - 1. Let m(d) = 2*k(d) + 6*r(d). Determine z(m(h)).
-48*h**2
Let c(d) = d**2. Let s(b) be the first derivative of 151*b**5/60 + b**4/12 + 109*b**2 - 78. Let h(j) be the second derivative of s(j). Determine c(h(i)).
22801*i**4 + 604*i**3 + 4*i**2
Let c(j) be the third derivative of -35*j**4/8 + j**3/3 - 251*j**2 + 2. Let a(k) = -k**2. What is c(a(y))?
105*y**2 + 2
Let j(l) = -l**2. Let m(v) = -372*v. Let n(q) = 11*q. Let z(p) = -3*m(p) - 18*n(p). Determine j(z(h)).
-842724*h**2
Let p(o) be the second derivative of o**3/6 - 2*o. Let i(v) = -29*v**2 + v + 63. Let r(n) = -6*n**2 + 12. Let g(b) = 4*i(b) - 21*r(b). What is g(p(z))?
10*z**2 + 4*z
Let y(d) = 2*d. Let w(h) be the second derivative of 39*h**3/2 - 401*h + 3. What is y(w(g))?
234*g
Let z(x) = 90*x**2 + 3 - 3. Let m(o) be the first derivative of -o**2 + 5071. What is z(m(w))?
360*w**2
Let a(z) = 15*z. Let i(j) be the second derivative of -j**4/6 - 35*j**3/3 + 3*j - 691. Give i(a(s)).
-450*s**2 - 1050*s
Let v(z) = -689*z**2. Let f(m) = 7031*m. What is v(f(d))?
-34060688129*d**2
Let n(t) = -6*t**2 - 24*t**2 + 3*t**2. Let j(v) be the second derivative of v**3 + v - 174. What is n(j(q))?
-972*q**2
Let d(b) = 57*b + 18. Let t(r) = -124*r - 39. Let j(y) = 13*d(y) + 6*t(y). Let k(s) = -s + 0*s + 2*s. What is k(j(v))?
-3*v
Let p(i) = -35*i**2. Suppose 0*f - 2*f = 5*o - 46, f + 4*o - 23 = 0. Let s(g) = -f*g + 22*g + 142 - 142. What is s(p(n))?
35*n**2
Let h(z) = -1247772*z. Let s(b) = -b**2 + 106. Give h(s(g)).
1247772*g**2 - 132263832
Let y(f) be the second derivative of 0*f**2 + 10*f - 1 - 2/3*f**3. Let j(m) = -126*m + 28. Let g(a) = 14*a - 3. Let u(r) = 28*g(r) + 3*j(r). Calculate y(u(v)).
-56*v
Let o(l) = 2*l. Let j(i) = 2082266303*i. What is j(o(z))?
4164532606*z
Let a(b) = -432*b + 155*b + 144*b + 157*b. Let w(k) = -4*k**2 - 7*k + 7. Let z(r) = -2*r**2 - 4*r + 4. Let p(h) = -4*w(h) + 7*z(h). What is a(p(m))?
48*m**2
Let q(v) = 5*v**2 + 2332635 - 2332635. Let n(c) = 343*c**2 - 77*c + 77. Let s(j) = -18*j**2 + 4*j - 4. Let a(i) = -4*n(i) - 77*s(i). Calculate a(q(b)).
350*b**4
Let v(y) be the second derivative of -5*y**4/12 - 1465*y. Let i(j) = -8*j**2 + 3*j. Give i(v(h)).
-200*h**4 - 15*h**2
Let t(j) be the third derivative of 0*j + 0*j**3 + 0 + 10*j**2 - 1/24*j**4. Let d(a) = 12*a. What is d(t(f))?
-12*f
Let p(j) = -j + 8. Let r(w) be the third derivative of -w**5/10 - 2*w**2 + 1588. Determine r(p(x)).
-6*x**2 + 96*x - 384
Let v(w) = 3*w**2. Let b(x) = -5089722*x**2. Calculate v(b(d)).
77715810111852*d**4
Let o(m) = -2*m. Let b(j) = 570124963*j**2. Give b(o(k)).
2280499852*k**2
Let a(l) = 84*l**2 - 4*l - 144. Let d(r) = -1932*r**2 + 91*r + 3276. Let n(w) = 91*a(w) + 4*d(w). Let g(k) = 18*k. Give g(n(q)).
-1512*q**2
Let k(m) = -9*m + 2. Let r(i) = -4*i**2 - 41*i - 158. Determine r(k(g)).
-324*g**2 + 513*g - 256
Let l(y) = -10*y + 21*y + 13*y. Let t(x) be the first derivative of x**3/3 + 1641. Give t(l(z)).
576*z**2
Let h(x) = 6119761*x. Let w(i) = -3*i**2. Give h(w(c)).
-18359283*c**2
Let i(j) = -3*j. Let x(p) = 865*p**2 + 119*p**2 + 653*p**2 - 357*p**2. Give x(i(a)).
11520*a**2
Let p(g) = -77*g. Suppose -8 = -3*w + 5*z + 33, -3*w = z - 17. Let o(n) = -8*n**2 - 3*n. Let v(q) = 19*q**2 + 7*q. Let y(i) = w*o(i) + 3*v(i). What is p(y(j))?
-77*j**2
Let n(g) = g**2. Let p(h) = 41*h**2 + 123. Suppose 9*u = 8 + 10. Suppose u = -3*w + 5. Let j(k) = -1. Let m(v) = w*p(v) + 123*j(v). Calculate m(n(f)).
41*f**4
Let d(p) = -100*p + 6. Let g(c) = -3459*c. What is g(d(k))?
345900*k - 20754
Let u(q) = -q - 1. Let g(z) = 342. Let c(o) = g(o) + 342*u(o). Let x(d) = -5 + 13*d + 22*d + 5 + 6*d - 39*d. What is c(x(y))?
-684*y
Let i(c) be the third derivative of 0*c**3 + 76*c**2 - 1/24*c**4 + 0 + 0*c. Let x(p) = 307*p. Give i(x(y)).
-307*y
Let p(c) = -4*c. Let y(g) = -3668189*g. Give y(p(q)).
14672756*q
Let l(f) = -9 + 26 + 605*f**2 - 333*f**2 - 336*f**2 - 17. Let r(n) = -15*n. Let q(c) = -c. Let d(h) = 20*q(h) - r(h). Calculate d(l(o)).
320*o**2
Let u(k) = -9986033*k. Let x(l) = 8*l. What is x(u(r))?
-79888264*r
Let a(t) be the second derivative of -t**3/3 + 1728*t**2 + 2*t - 1. Let g(w) = 4*w. Calculate a(g(o)).
-8*o + 3456
Let x(y) = -y**2. Let k(o) = -160*o**2 - 64029. What is k(x(f))?
-160*f**4 - 64029
Let s = -169 + 311. Let m(d) = -141 - s - 2*d + 283. Let h(v) = 25*v. What is h(m(a))?
-50*a
Let m(x) = -x + 11. Suppose 6*j = 4*i + 2*j - 4, 4*i + 5*j = 22. Let b(p) = p**2 - 4. Let t be b(i). Let s(z) = -5*z + 2*z + t*z. What is s(m(k))?
-2*k + 22
Let a(q) = -569*q + 1144*q - 566*q. Let i(c) = 165*c**2. Give i(a(n)).
13365*n**2
Let k(j) = -3*j. Let a(v) = 155*v**2 - 372*v + 186. Let z = 86 + -85. Let h(o) = -o**2 + 2*o - 1. Let d(l) = z*a(l) + 186*h(l). Determine d(k(m)).
-279*m**2
Let f(u) = 18*u + 10. Let x(h) = 16*h**2 - 7*h - 7. Let l(k) = -9*k**2 + 4*k + 4. Let z(t) = 7*l(t) + 4*x(t). Determine f(z(r)).
18*r**2 + 10
Let r = -16 - -3. Let l(q) = 2*q + 26. Let u be l(r). Let x(y) = y + u*y - 5*y + 3*y. Let v(a) = 7*a. Determine v(x(z)).
-7*z
Let q(l) = l**2. Let p(z) = -z**3 + 2*z**2 - z + 41. Let r be p(0). Let v(d) = -21*d + 3*d + r*d**2 + 18*d. Determine q(v(b)).
1681*b**4
Let a(h) = 5*h. Let b(u) = u**2 - 2*u + 2. Let v(i) = -37*i**2 + 4*i - 3. Let k(g) = -2*b(g) - v(g). Calculate k(a(d)).
875*d**2 - 1
Let z(o) = -3*o. Let r(g) be the first derivative of 73*g**2/2 - g - 314. What is z(r(y))?
-219*y + 3
Let x(v) = -3*v. Let k(n) be the third derivative of 159*n**4/2 - 1347*n**2. Give x(k(p)).
-5724*p
Let r(w) = 16*w**2. Let i(m) = -23555732*m. Calculate r(i(y)).
8877960160893184*y**2
Let m(u) = -9. Let c(h) = 2*h**2 - 1. Let o(z) = 9*c(z) - m(z). Let j(n) = -127*n - 2. What is o(j(a))?
290322*a**2 + 9144*a + 72
Let q(f) = 3*f. Suppose -2*p = -3*n - 8, 91 = -2*p + 5*n + 99. Let c(a) be the second derivative of 0 + 0*a**3 + 3/2*a**p + 0*a**2 + 46*a. Determine c(q(o)).
162*o**2
Let v(u) = 187*u**2 - u - 11158. Let w(s) = s**2. Calculate v(w(j)) | {
"pile_set_name": "DM Mathematics"
} |
-1
Let i = -5382 - -134551/25. Let l = -0.47 + 1.47. What is the nearest to l in 1/6, i, -4, 2?
1/6
Let y = -21067.1 + 21067. Which is the closest to y? (a) -1 (b) 30 (c) 0.09
c
Let a = -20914 + 20930. What is the nearest to -0.03 in 1/4, a, -1/25?
-1/25
Let b = -191.71 - -195. Let r = -3.39 + b. Suppose 3 = 2*w - 2*c + 1, 4*w = -4*c - 4. What is the nearest to w in -2/5, -5, r?
r
Let z be 202/6 + (-32)/48. Let o = -4.1 - -4. Which is the closest to o? (a) -1/5 (b) 3 (c) z
a
Let x = 31.2 + -29.15. Let y = x - 2.25. Which is the closest to 1? (a) y (b) 3/2 (c) 1/10
b
Let t = -405 - -404.969. Let k = -73 + 72.969. Let z = t - k. Which is the closest to z? (a) -4 (b) -3/4 (c) 1/8
c
Let s = -490.46 + -14.04. Let z = s - -505. Which is the closest to 1/3? (a) z (b) 1/4 (c) -4 (d) -5
b
Suppose 5*l - 4*l + 416 = -2*x, 0 = 5*x + 15. Let v = l + 406. What is the nearest to 1 in -5, v, 3, 4?
3
Let p = 0.000301 + 0.499699. Let j be 77/162 + 2/(-4). What is the closest to 1 in 1, p, j?
1
Let q = 282.3 + -285.3. What is the nearest to q in 2, 0.5, -1/2, -1?
-1
Let t = -2958 - -2962. What is the nearest to -9 in t, 1/10, 1, 0.2?
1/10
Let a = 10626 + -10630. What is the nearest to -1/9 in 2.3, -6/11, a?
-6/11
Let v = 18575 + -18574. Let c = 1.2 - 1. What is the closest to c in 0, -0.1, v?
0
Let o = 47/39 + -7/13. Let n(s) = 3*s**2 - 12*s - 28. Let m be n(-6). Suppose -151*g = -m*g - 3. Which is the closest to o? (a) -4 (b) g (c) -0.2
c
Suppose -3*x - x - 4 = 0. Let p = -1.38 + 1.27. Let h = 0.61 + p. What is the closest to -3 in -2/5, x, h?
x
Let m = 2/5551 + -11140/105469. Which is the nearest to 1? (a) 16 (b) 0.4 (c) m
b
Let x = 41656/3 + -13885. What is the closest to -2/5 in -6, x, -5/2?
x
Let h = -687 + 687.1. Let r be (-10)/4*(-4)/(-20). Which is the closest to h? (a) 4 (b) r (c) 2
b
Let i(z) = z**3 - 5*z**2 + 4*z - 4. Let d be i(4). Let n be (-2 - -2)*(-2)/d. Let o = 30838 - 30833. Which is the closest to n? (a) 0.4 (b) o (c) 3
a
Let w = 0.38 + -4.38. Let n = w + 4. Let b = 5.78 + -2.78. What is the nearest to n in -4, b, 3/7?
3/7
Let r = 0.171 - -0.129. Let w = 1202 - 10858/9. Let d = w + 244/63. What is the nearest to 8 in -5, d, r?
r
Let k be (-1910)/12320 - (2 + (-72)/33). Let s = k + 25/112. Let u be 2/(-7) + (-11)/(-14). Which is the nearest to s? (a) -3/4 (b) u (c) 0.2
c
Let z be (-14421)/(-4389) + 16/(-7). Let v be ((-2)/2)/(-2)*-1. Which is the nearest to -1/5? (a) v (b) -0.1 (c) z
b
Let x = -505/102 - -3/170. Let n = 13/3 + x. Which is the nearest to -1? (a) -3/10 (b) n (c) 0.4
b
Let r = -0.09 - 4.91. Suppose 0 = q - 2*o - 2, 3*o + 1 = -18*q + 20*q. Which is the nearest to 3? (a) r (b) -0.2 (c) q
b
Let z = 44205 + -44204.8. Suppose -5*k - 13 = 4*p + 7, p + k = -4. Which is the nearest to p? (a) -3/5 (b) z (c) 4
b
Let x = 3784 - 3785. Which is the nearest to 0.1? (a) x (b) -172 (c) 4
a
Let q(d) = -d**2 - 12*d - 28. Let y be q(-4). What is the closest to 3 in 5, y, -4, -3/8?
y
Let j = 1220/5409 + -2/601. Suppose -p - x + 16 = 0, -5*p - x - x = -68. Let v = -14 + p. Which is the closest to v? (a) -1 (b) 0.5 (c) j
a
Let u = 4/37 - -128/185. Let j = 13.919 - 11.919. What is the closest to -25 in -0.3, j, u?
-0.3
Let a = -50.3 - -50.7. What is the closest to -1.6 in -1/4, -3/10, a?
-3/10
Let z = 14.4736 + 3.5264. What is the nearest to -7 in -2/13, z, 1/5, -4?
-4
Let y = -23299 + 23295.6. Which is the nearest to 0.1? (a) y (b) -4 (c) 0.4
c
Suppose -x - 5 = -2*l, -11 = 25*l - 30*l + x. What is the closest to -2 in l, -16, 3/7?
3/7
Let r = 144.4 + -178. Let u = -33.4 - r. What is the closest to -1/16 in u, 5, -0.4?
u
Let q = 42580 + -42577. Let h = -15 + 14.92. Which is the nearest to h? (a) -1 (b) -5 (c) q (d) -0.4
d
Let j = 576 + -575.928. What is the nearest to 0.06 in -0.4, j, 0?
j
Let d be 30/9*(2 - 249/118). Let s = d + 2/59. Which is the nearest to 2? (a) -2 (b) s (c) -4
b
Let j = 43.65 + -43.68. Which is the nearest to 1? (a) 2/61 (b) j (c) 5
a
Let m = -251 + 244. Let n = 58.1 - 57.9. Which is the nearest to 1/3? (a) -0.5 (b) m (c) n (d) -1
c
Let t = -49.45 - -49.44. What is the nearest to 0.25 in 0.4, -4/3, 0, t?
0.4
Let l = 601 + -605. Let t be 1/(((-170)/51)/(l/(-6))). Let y be (-1)/2 - (-2)/(-2). Which is the nearest to 0.2? (a) y (b) -9 (c) t
c
Let l(n) = -28*n + 2. Let p be l(-4). Let y = p - 118. Let d = -8 - -5. What is the closest to -2/5 in y, -1/7, d?
-1/7
Let u = 9023973/1037 + -8702. Let r = 1040/3111 + u. What is the closest to r in -1, 5, 3, -2/61?
-2/61
Let f = 6052 - 6049. Which is the closest to -2? (a) 44 (b) 7 (c) f
c
Let g = 0.4155 + -1.8155. What is the nearest to -1/2 in 0.2, g, 4?
0.2
Let d = -11689.7 - -11689. What is the closest to -8 in d, -0.1, 2?
d
Suppose -9 + 29 = -4*q. Let r = 8.47 + -7.9. Let l = 0.54 - r. What is the closest to 1/2 in 1/7, l, q?
1/7
Let d(u) = 2*u**3 + 20*u**2 + 47*u + 30. Let r be d(-7). What is the nearest to r in -1/7, -0.1, -3/16?
-3/16
Let z = 31 + -30. Let c = -44 - 81. Let f be 5/(-2)*(-20)/c. What is the nearest to f in 0.2, z, -4?
0.2
Let p = -181 + 203.1. Let s = 22.1 - p. Which is the nearest to 0.2? (a) -3/8 (b) 10 (c) s
c
Suppose -320 = -5*s - 5*p, -5*s + 1303*p - 1300*p = -352. Which is the nearest to 0.1? (a) s (b) -1/8 (c) 4 (d) 34
b
Let l = 5 - 8. Let t = -1431 + 686. Let s = -742 - t. Which is the closest to 1? (a) s (b) l (c) 0.4
c
Suppose 2*z + 1 + 71 = 0. Let f be (88/z)/(-2) + -1. Let k = 7.6 + -9.6. Which is the closest to 5? (a) k (b) f (c) 1
c
Let i = -418/3 + 141. Let w = -3 - -1.5. Let n = -1.3 - w. Which is the nearest to -9? (a) -0.3 (b) i (c) n
a
Let x = -23885 + 23885.27. Which is the closest to x? (a) 4 (b) -2/5 (c) -1/4
c
Let t = 0 - -0.007. Let a = -0.137 + t. Let v = 0.1 + a. What is the closest to -1 in v, -3, 1/3?
v
Let v = -23867.6 + 23868. What is the closest to v in -3, -1, 2/9?
2/9
Let x be (0 + (-1)/2)*2. Let a = -6413 - -6415. What is the closest to -1/2 in -1/2, 37, a, x?
-1/2
Let g be -5*(1 - 2)*-19. Let t be g/(-35) - 6/(-21). Suppose -27 = -t*c - 12. What is the closest to -2/11 in -0.3, c, -1/4?
-1/4
Let n be (18 + -9)/(-5 + 11/(-2)). Which is the closest to 15? (a) 0 (b) -1 (c) n
a
Let o = -1608 - -1608.05. Let f = -60 - -778/13. Which is the closest to 3? (a) o (b) f (c) -0.4
a
Let s = 1293 + -1298. Let h(y) = y - 4. Let v be h(0). Let n = -0.58 - -0.38. Which is the closest to 1? (a) s (b) v (c) n
c
Let u = -157 - -157.1. Let w = -186 + 185.7. What is the closest to w in 0.4, u, 3?
u
Let s = 13328/4059 + -4/369. Let l = s - 86/33. Let v be ((-3)/(-2))/((-6)/40). Which is the closest to l? (a) v (b) 1/6 (c) 1/5
c
Let k = 14 + -16.25. Let q = -0.85 - k. What is the closest to -1/3 in 0, 0.4, q?
0
Let b(l) = l. Let v be b(5). Let k = 298711/6 - 49785. What is the closest to 0 in 2/13, k, v?
2/13
Let z = 0 - 0. Let o = 26.2008 + -28.2008. Let p = -0.3 - -0.2. Which is the nearest to p? (a) o (b) z (c) 0.3
b
Let g be ((-1046)/12)/(94/(-2036)). Let t = g + -1888. Let w = t + 148/987. Which is the nearest to -1/2? (a) 0.5 (b) -5/4 (c) w
c
Let t = -111391 - -445563/4. Let m = -2 - -1. Which is the nearest to t? (a) -6 (b) 0 (c) m (d) 3
b
Let q be (-114)/(-1330) + (-2)/(-10). Let w = -34 - 0. Which is the closest to q? (a) 0.1 (b) -2 (c) w
a
Let z = -0.00802 + 0.20802. What is the closest to 0.2 in z, 14/13, -0.4, -0.2?
z
Let n = -97.75 - -101. Let z = n + -2.25. What is the nearest to z in -0.3, -2/3, -0.05, 4?
-0.05
Let u = 9773 + -9774. Suppose -13 = -5*i + 7. Which is the nearest to u? (a) i (b) -2/5 (c) -2/21
b
Let u = -4.27 - -6.86. Let t = u + -3.09. Which is the nearest to 1/4? (a) -3 (b) t (c) -8/19
c
Let a = 0.92 + -0.06. Let s = 0.04 + a. Let r = s - 2.9. What is the nearest to 0 in -0.3, r, 19?
-0.3
Let j = -10253.6 - -10254. Which is the nearest to 2/21? (a) 1 (b) j (c) 3 (d) -3/2
b
Suppose -y = -5*z + 11, -18 + 14 = -3*z - 2*y. Suppose 3*m - 33 = 2*h - 18, -3*h + 10 = z*m. What is the nearest to -1 in m, -1/4, 0?
-1/4
Let o be (-4 - -7)*((-425)/(-35) - 5). Let n = o + -2564/119. Which is the nearest to 1? (a) n (b) 3/5 (c) 5/2
b
Let y be 2*-91*11/22. Which is the nearest to y? (a) -1/5 (b) 0.5 (c) 3/2
| {
"pile_set_name": "DM Mathematics"
} |
- (sqrt(99) - sqrt(99)*-1))*6 + sqrt(99))/(sqrt(144)*3)*6 + -2.
-5*sqrt(11)/2 - 2
Simplify ((2 + sqrt(1100))*4)**2 + (sqrt(539) + -1)*3.
661*sqrt(11) + 17661
Simplify (sqrt(132)/(-1*sqrt(176)))/(1*(sqrt(64) + sqrt(4) + sqrt(4))*6).
-sqrt(3)/144
Simplify -2*(-2*(sqrt(539) + (sqrt(539) - (sqrt(539) - (-4 + 2*sqrt(539))))**2) - (2 + sqrt(539) + (-1 + sqrt(539) - sqrt(539)) + sqrt(539) + 1)**2).
-308*sqrt(11) + 13008
Simplify (-2*(sqrt(171) + sqrt(171) + 3*sqrt(171)))/(sqrt(63)/sqrt(7)*-1 - sqrt(9) - sqrt(9)).
10*sqrt(19)/3
Simplify (1 + sqrt(17) + 5)*-1 - sqrt(85)/(sqrt(5)*1*-5).
-6 - 4*sqrt(17)/5
Simplify (6*2*sqrt(24))/(5*(sqrt(128) - sqrt(8))) + 5 + (-1 + (sqrt(75)*-2)**2 - sqrt(75)).
-21*sqrt(3)/5 + 304
Simplify (1 + sqrt(13)*-2 + -4 + ((sqrt(52) - sqrt(208)) + sqrt(52))/sqrt(4) + 0)**2.
12*sqrt(13) + 61
Simplify (sqrt(108)*-2 + 5)**2 + (sqrt(108) + (sqrt(108) - (2 + sqrt(108) + (-4 + sqrt(108) - sqrt(108)))))**2.
-96*sqrt(3) + 569
Simplify (4*sqrt(50)*1)/sqrt(10) - 5*(3 + sqrt(15)/sqrt(3)).
-15 - sqrt(5)
Simplify -4*((sqrt(931) + -1 + 5)*6 + 5) + 3.
-168*sqrt(19) - 113
Simplify (((sqrt(77) - (sqrt(77) - sqrt(77)*3 - sqrt(77) - sqrt(77) - sqrt(77))) + sqrt(77))*-1)/(-6*-3*sqrt(11)) + -2.
-2 - 7*sqrt(7)/18
Simplify 2*(sqrt(133) + sqrt(133) + 1*(sqrt(133) - (sqrt(133) + 2*sqrt(133))))/(sqrt(42)/(sqrt(18)/sqrt(3))).
0
Simplify ((-5 + (sqrt(3) - sqrt(363)*2) - (1*(sqrt(84) - sqrt(21)))/sqrt(7)) + 3)**2.
88*sqrt(3) + 1456
Simplify 4*(sqrt(21)/(sqrt(3)*1) + -4*sqrt(28)/sqrt(4)) - ((sqrt(252) - 4*(sqrt(252) + -2)) + 2).
-10 + 6*sqrt(7)
Simplify 2 + (sqrt(325)*2 + -2 + -2 + (3 + -2*sqrt(325))*1)**2.
3
Simplify 1 + -5*sqrt(45)/(sqrt(225) - (sqrt(225)*3 + sqrt(225) + sqrt(225))).
sqrt(5)/4 + 1
Simplify -2*(-3*(sqrt(2) - (1*(sqrt(32) - sqrt(2)))**2) + sqrt(4)/(sqrt(22)/(sqrt(11) - (sqrt(33)/sqrt(3) + sqrt(11))))).
-108 + 8*sqrt(2)
Simplify -5*(4*(1*sqrt(3) - sqrt(3)) + sqrt(3)*-1*1 - (sqrt(147) + (1 + (sqrt(147) - (sqrt(147) - -2*sqrt(147))) - sqrt(147)) + sqrt(147)))**2.
-545 + 60*sqrt(3)
Simplify 1 + (sqrt(19)*2*-3 + sqrt(19) + sqrt(19)*1 + 1 + 4)**2.
-40*sqrt(19) + 330
Simplify ((sqrt(20) - 1*sqrt(20))/sqrt(10) - (sqrt(288) + 0)) + 3 + 5.
-12*sqrt(2) + 8
Simplify 2 + -1 + sqrt(13) + 0 + -3 + (1 + sqrt(468) + 4 + -4)**2.
13*sqrt(13) + 467
Simplify 1 + ((-2 + -3*sqrt(343) - sqrt(343)) + (sqrt(343) - 3*sqrt(343) - sqrt(343))*5 + sqrt(343))**2*3.
1512*sqrt(7) + 333409
Simplify 0 + 1 + sqrt(192) - sqrt(24)/(sqrt(32)/sqrt(4))*4.
1 + 4*sqrt(3)
Simplify ((-1*sqrt(300))/sqrt(12) + sqrt(275)/(sqrt(11)*2))/(sqrt(50)/sqrt(810)*1).
-9*sqrt(5)/2
Simplify (((sqrt(117) + 2)*1)**2 - (sqrt(117) + 0 + 0))*-4.
-484 - 36*sqrt(13)
Simplify (sqrt(280)/sqrt(20))/(sqrt(8) + sqrt(72)/(sqrt(9)*1) + sqrt(8))*1.
sqrt(7)/6
Simplify sqrt(30)/((sqrt(72)/sqrt(3))/sqrt(4)) + ((sqrt(720)*-2 + sqrt(720))*-4)**2.
sqrt(5) + 11520
Simplify ((sqrt(432) + -5 - (-1 + sqrt(3) + 5 + sqrt(3)*2*3))*2)**2.
-360*sqrt(3) + 624
Simplify ((sqrt(192) - (sqrt(192) + 2))**2 + -5 + 5 - 3*(-2 + sqrt(192) + -1 - sqrt(192))) + -2.
11
Simplify 3 + (-2*sqrt(3584))/(sqrt(72)/(sqrt(27)/sqrt(3))).
-16*sqrt(7) + 3
Simplify 1*(5 + (2 + sqrt(28) + sqrt(7) - (-1 + sqrt(567)))).
-6*sqrt(7) + 8
Simplify (-4*2*(1 + sqrt(320)) + -2)**2.
1280*sqrt(5) + 20580
Simplify ((-4*sqrt(256))/((sqrt(96) - ((sqrt(96) - -1*sqrt(96)) + sqrt(96)) - sqrt(96))/sqrt(12) - sqrt(8)))**2*-5.
-160
Simplify ((5*((sqrt(68) + (sqrt(68)*1 - sqrt(68)) - sqrt(68)) + sqrt(68)))/(sqrt(36)/sqrt(36)))**2 + -2.
1698
Simplify (-3*(sqrt(180)*-1)/sqrt(5))/(sqrt(108)*6 + sqrt(84)/(2*sqrt(7))).
6*sqrt(3)/37
Simplify (sqrt(180)/(sqrt(12)/sqrt(3)))/((sqrt(18)*2)/sqrt(2)).
sqrt(5)/2
Simplify -6*((1 + sqrt(363))*-1 + -4)**2*-3*1.
1980*sqrt(3) + 6984
Simplify (sqrt(77)/sqrt(7)*-2 + ((sqrt(99) - (-1 + sqrt(99) + sqrt(99))) + sqrt(99))**2 + -3)*-4*1.
8 + 8*sqrt(11)
Simplify 5 + (sqrt(12)/sqrt(54) - (sqrt(18)/(2*sqrt(9)))**2) - ((sqrt(242)*-1*-5)**2 + 5).
-12101/2 + sqrt(2)/3
Simplify (sqrt(153) + 5 - (4 + sqrt(68)/sqrt(4)) - sqrt(102)/(sqrt(144)/sqrt(6)))**2.
3*sqrt(17) + 157/4
Simplify (-4*((sqrt(119) - (sqrt(119)*-3 + sqrt(119))*2 - sqrt(119)) + sqrt(119)))/(sqrt(7) + sqrt(49)/(-1*sqrt(7)) + sqrt(140)/sqrt(5)).
-10*sqrt(17)
Simplify -3 + (sqrt(44) + -1 - sqrt(121)/sqrt(44))**2 + sqrt(99)*-1 + sqrt(825)/sqrt(3).
-sqrt(11) + 91/4
Simplify 3 + 3*(-4*sqrt(180)*-1)**2*5.
43203
Simplify -5*(-4 + sqrt(1088) + sqrt(1088) + -1 + 1 + -2*sqrt(1088))**2.
-80
Simplify ((sqrt(1573)*-2 - sqrt(1573))*3 - (sqrt(1573) + -2)*-2)**2.
616*sqrt(13) + 77093
Simplify (sqrt(847) - sqrt(847)*4) + -5 + sqrt(847) + 4 + sqrt(847) + -4.
-11*sqrt(7) - 5
Simplify (-5 + (2 + (-3*sqrt(500) - sqrt(500)) - (sqrt(500) + -2 + 1)))**2.
200*sqrt(5) + 12504
Simplify (sqrt(108)/sqrt(9)*-6)/(sqrt(196)*-2).
3*sqrt(3)/7
Simplify ((sqrt(170) + -5*4*sqrt(170))/(-3*sqrt(40)))**2.
6137/36
Simplify (((sqrt(65) + (sqrt(65) + (sqrt(65) - -3*sqrt(65)))*-6)*-4)/((5*(sqrt(75)/sqrt(5) + sqrt(15)))/sqrt(3)))**2.
43732/25
Simplify 2*((sqrt(117) - 2*(sqrt(117) + -2*sqrt(117)) - sqrt(117) - sqrt(117) - sqrt(117))/((-1*sqrt(90))/sqrt(10)) + 4)**2*-4.
-128
Simplify sqrt(20)/(sqrt(10)*-2)*-3 - (((-3 + (sqrt(2) - sqrt(8)))**2 - sqrt(2) - sqrt(2)) + sqrt(16)/sqrt(32)).
-11 - 3*sqrt(2)
Simplify (sqrt(70)/sqrt(500))/(-1*(sqrt(2) - 5*sqrt(2))).
sqrt(7)/40
Simplify (((sqrt(210) - 2*(sqrt(210)*2 + sqrt(210))) + sqrt(210))/sqrt(6))/(sqrt(252)/(sqrt(18)/sqrt(2))).
-2*sqrt(5)
Simplify -4*((sqrt(2) + sqrt(12)/(sqrt(6) + 2*sqrt(6) + sqrt(6)))**2 + sqrt(72)/sqrt(9)) - ((1*sqrt(224) + sqrt(224) + sqrt(224))*3)/sqrt(7).
-44*sqrt(2) - 25/2
Simplify (-5*sqrt(19)*-1 + -4)**2 - (sqrt(380)/(-3*sqrt(10)))/sqrt(2).
-119*sqrt(19)/3 + 491
Simplify ((sqrt(448) + -5*((sqrt(448) - (0 + sqrt(448))) + sqrt(448)) - (sqrt(14)/(-2*sqrt(2)) + (sqrt(70) - 1*sqrt(70))/sqrt(10))) + -5)**2 + -3.
315*sqrt(7) + 27871/4
Simplify 4*(1 + (sqrt(1008)*-1)/sqrt(144)).
-4*sqrt(7) + 4
Simplify (sqrt(20)/(sqrt(48)/(sqrt(36)/sqrt(3)))*4 - -5*-2*sqrt(720)*-2)**2.
297680
Simplify -4*((sqrt(176) - sqrt(176)*4) + sqrt(11)*4*-6 + sqrt(11))**2 + -1.
-53901
Simplify (-1 + -4 + sqrt(448) - sqrt(448))**2 + ((sqrt(112)*3)**2 - sqrt(112)) + -5.
-4*sqrt(7) + 1028
Simplify ((2*(-1*sqrt(475) + sqrt(475)) + sqrt(475))**2 - -1*sqrt(475)*-6) + (sqrt(475) + 2)**2*2*-6.
-5273 - 270*sqrt(19)
Simplify (-2 + sqrt(98) - sqrt(98) - sqrt(14)/(sqrt(35)/sqrt(5) + sqrt(7) + sqrt(7)) - (-2 + -3*sqrt(98)))**2.
7688/9
Simplify sqrt(300) + 2 + sqrt(300) - sqrt(6)/(-1*sqrt(2)) - (((sqrt(21)*-1)/sqrt(7))**2 - ((sqrt(36)*-1)/sqrt(12))**2).
2 + 21*sqrt(3)
Simplify (sqrt(80)/(sqrt(24)/sqrt(3)) - (sqrt(160)*-4 - sqrt(10)))/(-1*(sqrt(605) + (sqrt(605) - -2*sqrt(605)))).
-9*sqrt(2)/22
Simplify (sqrt(171)*-2)**2 + (3 + sqrt(475))**2 - (-2*(sqrt(228)/(sqrt(36)/sqrt(3)) + sqrt(19)))**2*-4.
30*sqrt(19) + 2384
Simplify (-4 + sqrt(153)*-6 - (0 + (-1 + sqrt(833))**2))*2.
-1676 - 8*sqrt(17)
Simplify 2 + (-4*sqrt(180) + 2 + 3 + -4)*4.
-96*sqrt(5) + 6
Simplify (0 + (sqrt(700) - -1*sqrt(700)) - (sqrt(700) + 0 + sqrt(700) + sqrt(700) + -2)**2)*-1 + -3.
-140*sqrt(7) + 6301
Simplify -5*(sqrt(98) + 5 - (4 + 0 + sqrt(2)))**2.
-365 - 60*sqrt(2)
Simplify -5*(-5*1*sqrt(77))/(sqrt(121)/sqrt(539)).
175*sqrt(7)
Simplify 4 + (((sqrt(700)*-1 - sqrt(1008)*-2) + sqrt(567) + (sqrt(567) + (sqrt(567)*2 - sqrt(567)) + sqrt(567))*-6)*3)**2.
1217227
Simplify sqrt(153)/(sqrt(9) - (sqrt(9) + sqrt(63)/sqrt(175))) - (sqrt(2448) - ((-2*sqrt(2448))**2 + sqrt(2448))*1).
-5*sqrt(17) + 9792
Simplify (-2 + ((sqrt(22) + 6*3*sqrt(22))/(sqrt(8)/(3*sqrt(4) + sqrt(4))))**2)*4.
254136
Simplify -5 + (sqrt(272) + (sqrt(272)*1)**2 + -3 - -5*(sqrt(272) + -2)).
24*sqrt(17) + 254
Simplify 0 + 6*(1*sqrt(27) + (((sqrt(3) + -1)*-3)**2 - sqrt(3)) - (sqrt(9)/sqrt(12)*-4)**2).
-96*sqrt(3) + 144
Simplify (-1 + -6*3*(sqrt(13) + 1) + -3)**2 + 4.
792*sqrt(13) + 4700
Simplify ((6*sqrt(100)*1)/sqrt(5))/(6*(sqrt(16)/sqrt(4) + sqrt(4))*-4).
-sqrt(5)/8
Simplify sqrt(72) - (1 + -1*sqrt(72)) - sqrt(12)/(sqrt(72)/sqrt(3) + sqrt(6)).
-1 + 35*sqrt(2)/3
Simplify 6*3*(-5 + sqrt(320) + (sqrt(320) - (sqrt(320)*-1*-5)**2)).
-144090 + 288*sqrt(5)
Simplify -1 + (2 + sqrt(98) + -4 + (sqrt(98) - (sqrt(98)*3 + 1)))**2.
42*sqrt(2) + 106
Simplify (-5*(sqrt(38) - sqrt(380)/sqrt(10)))/sqrt(8 | {
"pile_set_name": "DM Mathematics"
} |
hich is the biggest value? (a) 0.4 (b) 1/2 (c) d
b
Let h be 30/(-21) + (0 - -1). Let c(a) = a - 5. Let d be c(9). What is the biggest value in 0.5, d, h?
d
Let t = 5 - 4.8. What is the third smallest value in t, -0.5, -22?
t
Let m = -8 - 2. Let n be 4/m*5/11. What is the second smallest value in 0.4, 0, n?
0
Let h be ((-6)/(-9))/((-4)/12). Let q = h - -4. Let f = 0.06 - 3.06. Which is the second biggest value? (a) 2/3 (b) q (c) f
a
Let j = -133/4 - -33. Let x = -23/60 - -1/20. Which is the smallest value? (a) j (b) x (c) 3
b
Let d = -1.1 + 0.1. Let p = -0.14 + 0.04. Which is the biggest value? (a) p (b) d (c) 1
c
Let x = 32 - 37. What is the smallest value in 0.5, 3, x?
x
Let f = 17 + -16.86. Let i = -0.34 + f. What is the second biggest value in -4, 0.2, i?
i
Let l be -2*(-2 - (-9)/6). Let o be (1*6)/l + -2. Let d = 1 + 1. Which is the smallest value? (a) o (b) d (c) -4
c
Let b = 10.7 + 0.3. Let g = -7 + b. Let p be (-6)/14 + 0/(-3). What is the smallest value in 2/15, g, p?
p
Suppose -2*s = -3*s + 4. Let u be 2*19/(-24) - -2. Let k = -49/60 + u. What is the second biggest value in -0.2, s, k?
-0.2
Suppose -7 = -2*p + q, -p - 4*q + 2 - 3 = 0. Suppose -p*l = -l - 14. Let d be 2/l + 8/(-28). Which is the smallest value? (a) 1/4 (b) 0.4 (c) d
c
Suppose -3 + 0 = -n. Suppose -3*o - o + 7 = 3*y, n = -y. Suppose 3*m + 35 = o*h, -3*m - 4*h + 4 = -1. Which is the smallest value? (a) 1/9 (b) 2 (c) m
c
Let j = -2.76 + -0.24. Which is the smallest value? (a) -0.2 (b) j (c) 1/6
b
Let y = -0.53 + 0.66. Which is the biggest value? (a) -4/7 (b) 0.5 (c) y
b
Let q be -1 - (-1)/(-2)*2. Which is the second biggest value? (a) q (b) 3 (c) 0.5
c
Let n be 1 + (1 - (-24)/(-14)). Let m = 0.28 - 0.78. Which is the biggest value? (a) m (b) n (c) 3
c
Let p = -30 - -29.7. Let y = 2.9 + -3. What is the second smallest value in -0.06, p, y?
y
Let t be ((-38)/(-60) - 4/12)*-2. Which is the smallest value? (a) 1/5 (b) t (c) -1/2
b
Let h = 4 + -3.6. Suppose -g - 5*k = 39, 4*g - g = -k - 47. Which is the third biggest value? (a) h (b) g (c) -2/5
b
Let s = -170 + 679/4. Which is the third smallest value? (a) s (b) 5 (c) -0.1
b
Suppose o + 3*o - 5 = -5*h, 0 = 4*o + 4*h - 4. Let j be (-12)/10 - (1 + -2). Which is the biggest value? (a) o (b) 2 (c) j
b
Let c = -3/38 + -13/76. What is the third smallest value in 2, c, 1/3?
2
Let n = -50 - -51. Which is the biggest value? (a) 31 (b) n (c) -4/5 (d) 2
a
Let s be ((-1 - -8) + 1)/(-2). What is the biggest value in -5, -5/2, s, 2?
2
Let l = 8 - 8.6. Let g be (-138)/9 + 5/15. Let o be (5/g)/(38/12). Which is the smallest value? (a) o (b) -0.2 (c) l
c
Let n be (3 - (-112)/(-36))*-2. What is the biggest value in 1, n, -1/4?
1
Let u = 187 - 187.4. Let k be 1/4 + 142/(-536). Let i = k + 72/335. What is the third biggest value in i, 1, u?
u
Let h = -8 - -7.9. Which is the second biggest value? (a) 2 (b) -1/4 (c) h
c
Let x = -9 - -10. Which is the third biggest value? (a) x (b) 3 (c) 2
a
Suppose -5*z + 9 = -4*i - 9, -z = 2*i + 2. Suppose -f = z*f - 3. Which is the biggest value? (a) -0.5 (b) f (c) 5
c
Let f(i) = 2*i**3 + 33*i**2 + 15*i - 11. Let w be f(-16). Which is the second biggest value? (a) 1 (b) w (c) -6
a
Let p = -1 - -1. Let c = -16.8 + 16.5. What is the biggest value in 1, p, c?
1
Let i = -75 + 76. Let g be (-2)/3*(-3)/(-9). Which is the second biggest value? (a) g (b) -0.1 (c) i
b
Let s = -0.3 + 0.6. Let x = -129.6 - -130. What is the third biggest value in x, 0.6, s?
s
Let n = 4 + -5. Let p = 0 + n. Which is the second biggest value? (a) 3 (b) p (c) 2/5
c
Let h = 0.36 - 0.06. Let k = 1 - 0. Let m = k + 4. Which is the second smallest value? (a) h (b) 1/2 (c) m
b
Let z be (0/(-2) - 2) + 5. Let a = -6 - -5. Let k be 2*(-1)/5*a. What is the second smallest value in k, 1/7, z?
k
Let d = -5 + 15. Let m = d - 6. Let y = -2 + 3. What is the third biggest value in m, y, 1/6?
1/6
Let l = 2.7 + -3. Let n(b) = -2*b - 7 - 6*b + b**3 - b**2 + 7*b**2. Let x be n(-7). What is the biggest value in x, 2/7, l?
2/7
Let z = -0.5 + 0.8. Which is the fourth smallest value? (a) z (b) 4 (c) -3 (d) -2/9
b
Let o = -10 + 12. Which is the biggest value? (a) -0.06 (b) o (c) -1/2
b
Let n = -4 + 16. Let l = -11.7 + n. What is the second smallest value in 1/10, l, -1?
1/10
Suppose -3*f + 19 = -6*f + r, -2*f = 3*r + 9. What is the second biggest value in f, 3/5, 0.1?
0.1
Let w = -0.22 - 0.08. What is the second smallest value in -4, w, -2/9?
w
Let v = 1.1 - 0.8. Suppose -2*h + 4*w + 6 = 0, -2*h + 2*w + 8 = -0*h. Which is the second smallest value? (a) v (b) -0.4 (c) h
a
Let r = 0.107 + 6.993. Let b = r + -7. What is the third smallest value in b, 0.4, -5?
0.4
Let g = -114.3 - -114. Let z = 42 - 37.4. Let p = -0.4 - z. What is the third biggest value in p, g, -2/7?
p
Suppose q + 3*q - 14 = 2*j, 2*j + q = 1. Let z = 20.041 + 0.159. Let l = z - 20. Which is the third biggest value? (a) 3 (b) j (c) l
b
Let n = 33 + -38. What is the second biggest value in n, 0, 2?
0
Let q = 1.4 - -1.6. What is the third smallest value in 2, q, 5?
5
Let a be (-22)/28 - 8/(-28). What is the third smallest value in -5, a, -0.4?
-0.4
Let j = 105 - 102. Which is the biggest value? (a) j (b) 2/7 (c) -1.1 (d) 0.4
a
Let x = -0.32 - -0.02. What is the biggest value in -2, x, 1, -2/11?
1
Let y = -14.4 - -15.4. Which is the third biggest value? (a) -3 (b) 25 (c) y
a
Let p = -66 - -66.2. What is the third biggest value in 0.4, 1/17, 2, p?
p
Let z = -4 + 1. Let o = 3 + -4.7. Let s = 0.3 - o. Which is the second smallest value? (a) s (b) z (c) -5
b
Let a = 0.14 + -0.07. Let v = a - -0.03. What is the third smallest value in v, -3, 0?
v
Let n = -81.9 + 82. Which is the third smallest value? (a) -0.7 (b) n (c) 4
c
Suppose 6 = 3*i - i. Let f be 279/10 + 0/6. Let r = f + -28. Which is the third biggest value? (a) r (b) -4 (c) i
b
Let h = 0.3 - 0.32. Let m = 3.98 - h. Which is the third biggest value? (a) 2 (b) m (c) 0.04
c
Let x = 25 - 24.6. What is the biggest value in 4/3, -2/11, x?
4/3
Let h = -1/188 - 179/1692. Which is the second biggest value? (a) 1 (b) h (c) -1/4
b
Let t = 103/4 + -26. What is the second smallest value in 1, t, -0.5?
t
Let i = 419 + -289. Let l = -136.9 + i. Let h = 7 + l. Which is the third smallest value? (a) h (b) 0 (c) 2/15
c
Let x = -16/9 + 94/63. Let f be (-4)/(-18) - 0/(-1). Let s be 5/(-6) + (-3)/(-6). Which is the smallest value? (a) x (b) s (c) f
b
Suppose -2*n - g + 14 = g, -4*g + 12 = 0. Let f be n/3*9/(-6). Let q be ((-2)/3)/(f/3). What is the biggest value in 0, q, -3?
q
Let t = -0.9 + 0.1. Let k = t + 0.5. Let y = -1 - -1.3. Which is the second biggest value? (a) k (b) y (c) -2/15
c
Let h = 3.5 - 3. What is the second smallest value in 5, h, -2/5?
h
Let k = -10 - -8. Let r = -2.1 - k. What is the third smallest value in -3, r, 1/4?
1/4
Let w = 8 - 8. Let a = 0.06 - 0.06. Let d = a + w. What is the second biggest value in 2/15, -0.4, d?
d
Let y = -1.46 - 1.54. What is the fourth biggest value in -0.4, y, 0.2, -2?
y
Let i = 109 - 103. What is the smallest value in i, -1/4, 0?
-1/4
Let n = 288 - 292.06. Let s = 0.06 + n. Which is the biggest value? (a) 1 (b) s (c) 2
c
Let s = -1 + -1. Let v = 22 - 22.01. Which is the third smallest value? (a) v (b) -3 (c) s
a
Let y be 5/1*2/65. Let r(h) = -h**2 + 3*h + 5. Let d be r(3). What is the second smallest value in y, d, -4?
y
Suppose -5*n - 3*n + 8 = 0. Which is the third smallest value? (a) -1/8 (b) -0.5 (c) n
c
Let l = 0.3 - 0.2. Suppose 4*x - 3*x = -6. Let r = -11 - x. Which is the second biggest value? (a) l (b) r (c) -2/11
c
Let j = 2.6 + -2.2. What is the second biggest value in j, 3/2, 0?
j
Let p = 1.92 + 0.08. Which is the second biggest value? (a) 0 (b) 4/7 (c) p
b
Let p = -19.23 - -19. Let v = p - -0.03. Which is the third biggest value? (a) 2/7 (b) -2/11 (c) v
c
Let u = -0.6 + 0.6. Let f = u - 1. What is the smallest value in f, -0.4, 3?
f
Let n = 0.01 - 0.21. Let p be 40/(-19) + (-2)/(-1). What is the third smallest value in n, 5, p?
5
Let z = -0.045 + -27.955. Let d = 39 + z. Let v = -8 + d. Which is the smallest value? (a) 5 (b) v (c) -4
c
Let l = 5.7 - 2.7. Which is the s | {
"pile_set_name": "DM Mathematics"
} |
the nearest to a in 2, -1/2, 4?
2
Let s = -22/5 + 4. Let k = 0 + 0.35. Let m = 0.05 - k. Which is the closest to -2/7? (a) s (b) 0.3 (c) m
c
Let u be (-3)/(-5)*(20/(-5) - -3). Which is the closest to 0.1? (a) u (b) -0.22 (c) 0.3
c
Let q = -3.8 - -3.8. Let j = 1.2 - 1. Which is the closest to q? (a) 2/11 (b) j (c) 2
a
Let z be ((-15)/(-12))/(-5)*-274. Let p = 71 - z. Suppose -6*v - 45 = -v + 5*l, l = 2*v + 3. What is the closest to 0 in p, 0, v?
0
Let q = -0.017 + 0.117. What is the closest to q in 0, -6, -2?
0
Let d = -0.7 - -1.2. Let t = 186 - 1306/7. Which is the nearest to -0.1? (a) t (b) d (c) 0.1
c
Let y = -1 - 6. Let b = y + 7.2. Let o be 1 + 0 + 1/3. What is the closest to b in o, -2, 2?
o
Let v be -1 - -2 - (3 - -12). Let l be (-95)/(-35) - 4/v. What is the closest to -1/4 in 1/2, l, 1?
1/2
Suppose 11 = 25*o - 39. Suppose i - 2*v - 1 = 0, 2*i + 2*v - 1 = 5*i. What is the closest to i in -0.4, 2/7, o?
-0.4
Let n be 18/(-5) + (0 - -3). Let x = -2 - -3. Let v = 0 - x. What is the nearest to v in n, -0.5, -1?
-1
Let q = -3 - -4. Let u be 1407/(-462) + 6/11. Which is the closest to q? (a) -0.1 (b) u (c) 0
c
Let n = -49 - -46. What is the nearest to -3 in n, -0.1, 0.3?
n
Let v = -0.7 + 1.7. What is the nearest to -2 in v, 2/3, 3/2?
2/3
Suppose -3*q - 1 = -61. Let f be (-8)/q - 87/(-130). Let r = 17/130 + f. What is the closest to r in 3, -0.3, -5?
-0.3
Let p = 2 - 3. Suppose 19 = -t + 5*s, 4*t = -3*s - 0*s + 16. Suppose o - 3 + t = 0. Which is the closest to p? (a) o (b) 5 (c) -0.4
c
Let n = 1 - 5. Let v be (-3)/(-84)*6*2. Let u be 2/3 - 10/24. Which is the nearest to u? (a) v (b) n (c) 4
a
Let k = 0.046 - -0.354. Let s = 0 - 0.1. What is the nearest to -1 in k, s, 3/4?
s
Let v(l) = l**2 + 10*l + 29. Let q be v(-4). What is the closest to 0.1 in 1/10, q, -6?
1/10
Let f = -1.7 - 0.9. Let a = -3 - f. Let d = 81/356 - -2/89. What is the nearest to -1 in d, 1, a?
a
Let q be (5 + 1)*2/8. Let y be (-1)/8*(-3 - -5). Let n = -7/23 - -165/391. Which is the closest to -1/4? (a) n (b) q (c) y
c
Let r(s) = 2*s**2 + 18*s + 14. Let d be r(-8). Let k = -0.45 + 0.05. Which is the closest to -2? (a) -5 (b) d (c) k
b
Let h = -11 + 15. Which is the nearest to -0.1? (a) 0.5 (b) h (c) 2/17
c
Let h be 6 + 16/(-4) - 2. Let z be (-11)/12 - 3/(-12). Which is the closest to 1? (a) 4 (b) z (c) h
c
Let l be ((-2)/(-5))/2*-2. Let y be ((-82)/(-3))/(2/(-15)). Let r = 2667/13 + y. Which is the nearest to 1? (a) 0.2 (b) r (c) l
a
Suppose s = 3*s + 16. Let d be 1 - (0 - s/10). Let o = 59/87 + -10/29. Which is the closest to o? (a) d (b) -2/17 (c) 2
a
Let i = 297.6 - 298. Let h = 0.1 + 0.1. What is the closest to h in i, 0, 2?
0
Let t = -1.2 + 1.6. Which is the nearest to 1? (a) 1 (b) t (c) 2
a
Let z = 0.92 + -1.02. What is the nearest to 0 in 0.3, z, 3?
z
Let i = 3 + -5. Let q be 0 + 135/(-12) - 1. Let o = -12 - q. Which is the closest to 2/7? (a) i (b) 0.2 (c) o
c
Let g = 0.28 + -0.18. Which is the closest to -1? (a) 0 (b) g (c) 4
a
Let d = 6.4 - 6. What is the nearest to 1 in d, 5/4, -0.3?
5/4
Let a = 0.55 - 0.35. Let p be (-2)/8 - 3/20. Let w(l) = l - 2. Let u be w(0). What is the nearest to p in u, a, 5?
a
Let s = 0.06 - -0.44. Let y = s - 0.4. Let x = 17/4 - 9/2. Which is the nearest to x? (a) y (b) -0.2 (c) -4
b
Let k = -0.9 - -1. Let n = 9.9 - 10. What is the closest to k in n, 1/2, 4/7?
n
Let s = -0.2 - -0.3. Let u = -0.76 + 1. Let n = u - 0.04. Which is the nearest to s? (a) -1/2 (b) 4 (c) n
c
Let w = 4067/11 - 370. Which is the nearest to 0.1? (a) w (b) -5 (c) 1/3
c
Let z = 4.9 + 0.1. Let t = 0.3 - 0.6. Let i = -0.05 + 2.05. What is the nearest to 1 in t, z, i?
i
Let d be -3*(-4)/54*-3. Which is the nearest to 1? (a) 11 (b) d (c) 3
b
Let u = 4 - 1. Suppose 3*q + 4*d = -8, 2*q - 33 = -0*d + 5*d. Suppose -q*f + 5 = 9. Which is the closest to f? (a) 0.2 (b) 1/2 (c) u
a
Let l = 0.17 + -5.17. Let w be ((-1)/3)/((-3)/(-12)). Which is the closest to -2/7? (a) l (b) 0.5 (c) w
b
Let u = -7.3 + 6.3. Which is the closest to -1/2? (a) u (b) -1/4 (c) -1/2
c
Let w = 49 - 89. Let x = w - -57. Let h = 12 - x. Which is the nearest to 1? (a) 4 (b) 2 (c) h
b
Let m = -4 - -6. Let u = -0.369 + -0.031. Which is the nearest to m? (a) 2 (b) u (c) 0.1
a
Let x be -3 + 0 - 7*6/(-12). Let o = -1 + 0.8. What is the nearest to x in -0.5, o, -2/3?
o
Let k = 19527/20 - 976. Let q = k - -1/20. Which is the closest to -1/2? (a) 1 (b) 2 (c) q
c
Let s be 1/1 - 6/15. Let t = 1.45 + -1.55. Which is the closest to t? (a) s (b) 2 (c) -0.3
c
Let i = 2.5 + -0.5. Let d be ((-10)/25)/((-2)/(-20)*16). Which is the nearest to d? (a) 4 (b) -3 (c) i
c
Let j = -2.8 - -3.8. Let g = 6 + -5.9. Which is the nearest to j? (a) -1 (b) -5 (c) g
c
Let j be 1/(-1) + (0 - 2). Let f = -0.02 + 0.32. Let g = f + 1.7. Which is the nearest to 1? (a) g (b) j (c) -0.3
a
Let v = 3.963 - -0.037. Which is the nearest to -0.02? (a) v (b) -0.2 (c) 0.4
b
Let t = 94 - 91. What is the closest to t in 0, 3, -2?
3
Let j(z) = -3*z + 2. Let s be j(-6). Suppose -2*w + 5 = 3*y - 20, -y = 3*w - s. Let n = -2/3 + -1/12. Which is the nearest to n? (a) w (b) -0.1 (c) -0.4
c
Suppose -2*g - 3*r = -3 - 6, -4*r + 12 = -g. What is the closest to -0.1 in -2/15, 2/5, g?
-2/15
Let u(t) = -t**3 + 10*t**2 - t + 6. Let g be u(10). What is the closest to 0 in -2/7, 3, g?
-2/7
Let r = -0.2 + 0.2. Let h(l) = -l**2 + 14*l - 21. Let i be h(12). Let v = 2 - 2.5. Which is the closest to r? (a) i (b) v (c) -0.4
c
Let w = 0.09 - -1.91. Which is the nearest to 0.3? (a) -0.1 (b) -3 (c) w
a
Let w = -24 + 23.83. Let c = w - 0.13. What is the nearest to c in -5, -4, 2?
2
Let y be 2 - (135/25 - 3). What is the closest to 1 in y, -4/3, 2?
2
Let t be ((-32)/72)/(4/(-6)). Let j be (-2)/(-6)*8/12. Which is the closest to t? (a) j (b) 4 (c) -4
a
Let z be (-5)/((-4)/(-8)*-2). What is the nearest to -1 in z, 0, -4?
0
Let b = 16.96 - 17. Let g = -7 + 8.04. Let f = b + g. What is the closest to 0.1 in -2/7, 0.2, f?
0.2
Let y = 2 + -2.5. Let x be 7 - 5 - 18/8. What is the closest to -0.1 in 0.1, x, y?
x
Let d be 56/63 + 2/(-3). Let r = -3.662 - 0.038. Let g = -4 - r. Which is the closest to d? (a) g (b) 0.4 (c) -2/3
b
Suppose 5*x = 5*r - 20, -r + 4 = x - 0. Which is the nearest to x? (a) -1 (b) -0.12 (c) -2/9
b
Let y be (3 + -2)/(-3) - 0. Let x = 3.1 + -3. What is the closest to x in y, 1/2, -0.4?
1/2
Let l be 2 - 4/5*3. Let f(w) = -2*w**2 + 2*w. Let d be f(2). Which is the nearest to l? (a) 2/19 (b) 2 (c) d
a
Let g = 0.45 + -0.5. Let d = -2.05 - g. Which is the closest to -3/4? (a) 2 (b) d (c) -1
c
Let p = -4.08 - -0.08. Let j = 9 + p. What is the closest to -1/2 in j, 2, -0.2?
-0.2
Suppose -5*w = -9 + 24. Let z = -0.2 - 0. Let d = -0.3 - 0.2. Which is the nearest to z? (a) 2/17 (b) w (c) d
c
Suppose -o = 3*t - 4, -3*o + t + 4*t - 30 = 0. Let d = -0.27 + 0.2. Let u = -0.93 + d. Which is the nearest to 0.2? (a) u (b) 0 (c) o
b
Let v = -0.2 - -0.2. Which is the closest to -0.07? (a) v (b) -1 (c) 2
a
Let q = -0.5 + 0.3. Let m = -97.5 + 98. What is the closest to 0 in 5, q, m?
q
Let q = -1.6 + -0.4. Let k be ((-39)/(-30))/((-4)/10). Let h = -3 - k. What is the closest to 1/2 in -5, h, q?
h
Let k be (2/8)/(3/(-3*4)). What is the closest to -2/7 in k, -0.2, 0.05?
-0.2
Let t = 196043/765 + 4376/153. Let f = 285 - t. What is the closest to f in -5, 1, 0.1?
0.1
Let k = 2.39 - -0.11. Let p = k - 2. Let x = 0.4 - p. Which is the closest to x? (a) -0.1 (b) 1 (c) 1/3
a
Let h = 149 - 148.8. Let k(z) = z**2 - 9*z + 9. Let w be k(7). Which is the closest to -1? (a) w (b) 3/4 (c) h
c
Let d(y) = -y**3 + y**2 + 2*y + 1. Let n be d(2). Which is the closest to 0.1? (a) n (b) 3 (c) 5
a
Suppose l = 5*q + 12, -5*q + 3*q = -5*l + 14. Which is the nearest to -2? (a) 4 (b) -0.2 (c) l
b
Let q = 0.36 - 0.26. What is the closest to -1/2 in 2, 1, q?
q
Let w = -0.06 - -1.56. Let u = w - 2.5. Let j = -7/6 + 17/18. What is the closest to u in j, 3, 2/15?
j
Let b = -1.4 - -0.4. Let h = 1 - b. Let v be (1/42)/((-6)/24). What is the nearest to 2/7 in v, h, 2/13?
2/13
Let v = 1 - 1.2. Suppose 0 = -n + 6*n. What is the closest to v in 2, n, -4?
n
Let d(f) = -f**2 - 7*f + 11. Let | {
"pile_set_name": "DM Mathematics"
} |
48. Let v(f) = -2*f. Calculate n(v(z)).
-12024*z**2 + 48
Let n(w) = 25*w + 326. Let y(l) = 23*l + 319. Let s(m) = 12*n(m) - 13*y(m). Let x(q) = 16*q. Calculate x(s(z)).
16*z - 3760
Let f(t) = -t**2 - t**2 + 2*t**2 + 2*t**2. Let s(l) = -279*l - 162. Let c(p) = 18*p - 42*p + 17*p + 4 + 14*p. Let x(b) = 81*c(b) + 2*s(b). What is f(x(r))?
162*r**2
Let a(j) = -j - 126639. Let x(v) = 108*v**2. What is a(x(f))?
-108*f**2 - 126639
Let v(p) = -10*p. Let y(s) be the second derivative of -7*s**4/24 + 10*s**2 + s + 8. Let f(j) be the first derivative of y(j). What is v(f(g))?
70*g
Let l(t) = -241*t + 437*t - 334*t - 1 + 1. Suppose -3 = -r + 2*q + 2*q, -9 = -r - 2*q. Let k(i) = -i + 6*i - r*i. Calculate l(k(u)).
276*u
Let o(z) = 13*z**2. Let c(d) = 5005*d + 4. Determine c(o(w)).
65065*w**2 + 4
Let q(p) = -3*p. Let o(t) be the second derivative of -475*t**4/6 + 652*t. What is q(o(k))?
2850*k**2
Let w(s) = 2*s. Let o(b) = 1630658*b. Give w(o(l)).
3261316*l
Let d(y) = -130*y. Let i(b) = -93*b. Let n(k) = -5*d(k) + 7*i(k). Let f(h) = 1771*h**2. What is n(f(u))?
-1771*u**2
Let h(f) = 9*f**2 - 6*f. Let l be (-86)/12 + (-1)/(-24)*4. Let m(t) = 11*t**2 - 7*t. Let r(o) = l*h(o) + 6*m(o). Let b(n) = -41*n. What is b(r(c))?
-123*c**2
Let g(l) = 84 + 58 + 87 - 229 - 2*l. Let v(x) = -3*x - 263. Determine v(g(n)).
6*n - 263
Let h(c) = -11*c - 26. Let z(a) = -1938*a - 1919*a + 3860*a. Give h(z(g)).
-33*g - 26
Let k(v) = -950912*v**2. Let o(t) = -t. Determine k(o(u)).
-950912*u**2
Let c(r) be the first derivative of -9/2*r**2 + 28 + 0*r. Let i(m) = -11*m - 5. Let o(k) = 5*k + 2. Let q(a) = -2*i(a) - 5*o(a). Determine c(q(j)).
27*j
Let j(c) = -4*c**2. Let d = -73 - -73. Suppose -12 = -3*p - 2*r - d*r, -1 = -5*p + 3*r. Let q(f) = 10*f**2 + 2*f**2 - 10*f**p + 7*f**2. Calculate j(q(z)).
-324*z**4
Let h(s) = -s**2 + 0*s**2 + 2*s**2. Let q(t) be the first derivative of 0*t + 5/2*t**2 + 98. Give q(h(c)).
5*c**2
Let a(j) = -43 + 35 - 51 + 209*j - 29. Let q(z) = -14*z + 6. Let k(n) = 3*a(n) + 44*q(n). Let c(d) = -8*d. What is c(k(u))?
-88*u
Let z(j) = 2*j**2 + 1248. Let q(o) = -319*o. Let v(p) = -2154*p. Let d(i) = 27*q(i) - 4*v(i). What is d(z(f))?
6*f**2 + 3744
Let f(y) = -1945789*y - 1. Let z(p) = 10*p. Give f(z(j)).
-19457890*j - 1
Let j(w) = -w + 6. Let g(u) = 16050999*u. Give g(j(t)).
-16050999*t + 96305994
Let t(a) = 860*a. Let q(o) = -o**2 + 52932. Give q(t(h)).
-739600*h**2 + 52932
Let u(j) be the first derivative of -j**4/12 + 67*j + 14. Let m(p) be the first derivative of u(p). Let c(d) = 7*d**2 + 5*d. What is c(m(t))?
7*t**4 - 5*t**2
Let v(t) = -20009919*t - 20009917*t + 40019834*t. Let m(k) be the first derivative of 39*k**2/2 + 1. Give m(v(p)).
-78*p
Let k(x) = 572*x. Let o(i) = 72577*i**2. Calculate k(o(z)).
41514044*z**2
Let j(s) = 1242*s. Let o(t) be the third derivative of -t**5/60 - 2215*t**2. Calculate o(j(q)).
-1542564*q**2
Let r(l) = 23*l**2 - 319248*l. Let n(d) = 4*d. Determine r(n(q)).
368*q**2 - 1276992*q
Let j(d) = 2*d - 3331. Let m(h) = -148*h**2. Give j(m(g)).
-296*g**2 - 3331
Let c(r) = -19069*r**2 + r. Let v(i) = 223*i. What is c(v(m))?
-948282301*m**2 + 223*m
Let t(w) = -151*w**2 + 30*w + 5. Let l(c) = -6*c - 1. Let o(m) = 5*l(m) + t(m). Let h(g) = -3*g. Calculate h(o(v)).
453*v**2
Let l(f) = -114284*f + 1. Let z(w) = 27*w. Calculate l(z(p)).
-3085668*p + 1
Let g(n) = 860*n. Let j(p) = 2*p**2 + 2*p + 2277. Determine j(g(t)).
1479200*t**2 + 1720*t + 2277
Let o(r) = -3*r**2. Let i(f) = -18*f - 13. Let k(v) be the second derivative of -3*v**3/2 - 3*v**2 - 13*v - 4. Let z(y) = 4*i(y) - 9*k(y). What is z(o(c))?
-27*c**2 + 2
Let a(t) = -14*t**2 + 29048*t. Let l(g) = -4*g**2. Determine a(l(w)).
-224*w**4 - 116192*w**2
Suppose 5*c - 16 = -2*x, 0 = x - 16 + 18. Let a(k) = c*k - 16622 + 16622. Let v(n) = -24*n. Calculate v(a(m)).
-96*m
Let q(j) = 1843340*j. Let o(c) = c**2 + 5. Calculate q(o(n)).
1843340*n**2 + 9216700
Let u be 0/(-1) + (5 - 5). Let w = u + 7. Let v(f) = -2 + 9 + 10*f**2 - w. Let h(a) = -2*a**2. Give h(v(y)).
-200*y**4
Let j(g) be the first derivative of -3*g**2/2 + 7844. Let v(w) = 2*w**2 - 1046*w + 1. Determine j(v(k)).
-6*k**2 + 3138*k - 3
Let a(t) be the second derivative of 313*t**3/2 - 205*t + 11. Let z(x) = -4*x**2. Calculate z(a(n)).
-3526884*n**2
Let y(c) be the third derivative of 0*c + 0*c**3 + 1 - 15*c**2 - 5/8*c**4. Let s(h) = -9*h. Give s(y(g)).
135*g
Let v(f) = -3*f**2 + 20*f - 5. Let t be -1*(-7)/35*-25. Let d(q) = -10*q**2 + 64*q - 16. Let u(m) = t*d(m) + 16*v(m). Let o(s) = -142*s. Give o(u(w)).
-284*w**2
Let t(n) = 27*n**2 - 379*n. Let d(c) = 472*c. Determine t(d(b)).
6015168*b**2 - 178888*b
Let g(i) = 3*i**2. Let u(z) = -59466535*z**2. Give g(u(m)).
10608806354718675*m**4
Let b(g) be the second derivative of g**4/6 - g. Let q be (61/(-244))/((-1)/120). Let c(h) = 10*h**2 - 2 - 11*h**2 + 2 + q*h**2. What is b(c(u))?
1682*u**4
Let u(c) = -85*c - 1118. Let j(l) = 3*l**2. Calculate u(j(b)).
-255*b**2 - 1118
Let x(m) = -50*m. Let c(d) = -197*d - 53. Let a(z) = -134*z - 38. Let o(t) = -7*a(t) + 5*c(t). Calculate o(x(p)).
2350*p + 1
Let n(z) = 2*z. Let s(a) be the second derivative of a**7/140 + a**4/6 + 24*a**2 - 3*a. Let r(i) be the third derivative of s(i). What is r(n(o))?
72*o**2
Let g(o) = 11*o. Let b(t) be the third derivative of 1/12*t**4 + 19*t**2 + 0 + 0*t + 0*t**3. Calculate b(g(h)).
22*h
Let z(a) = -7*a**2. Let i(h) be the first derivative of h**4/12 + 38*h - 53. Let x(t) be the first derivative of i(t). What is z(x(d))?
-7*d**4
Let l(s) = 8*s**2. Suppose -a + 43 = 2*v + 3*v, -44 = -4*v - 4*a. Let z be 6/11 + 256/176. Let f(m) = -17*m**2 + 2*m**2 + v*m**z + 5*m**2. What is f(l(d))?
-128*d**4
Let y(w) = -3*w**2. Let d(o) = 284*o**2 + 62 - 148*o**2 - 127*o**2. What is d(y(q))?
81*q**4 + 62
Let k(v) = -v**2 - 612*v + 2. Let l(m) = 897*m**2. Give k(l(q)).
-804609*q**4 - 548964*q**2 + 2
Let v = -7 + 12. Let z be (-2)/v + (-174)/(-10). Let f(k) = z*k - 7*k - 7*k - 5*k. Let s(o) = o**2. What is s(f(g))?
4*g**2
Let o(f) = 5*f + 88866. Let d(s) = 3*s**2. Give o(d(k)).
15*k**2 + 88866
Let b be 1/((-1)/4 + (-3)/(-6)). Suppose 37 - b = i. Let t(k) = 0*k**2 + i*k - 33*k + 2*k**2. Let j(w) = 3*w**2. What is t(j(d))?
18*d**4
Let x(m) = -94 + 2*m**2 + 289 - 82 - 95 - 35. Let p(v) = -v - 5*v + 4*v. Give x(p(c)).
8*c**2 - 17
Let x(i) = 9*i - 6*i + 6*i. Let g(z) = -3*z - 20918230 + z + 20918230. Determine x(g(a)).
-18*a
Let o(y) = -3*y**2. Suppose 9 = -9*x + 6*x. Let q be (x/(-2))/(2/12). Let h(k) = 0*k - 4*k - q*k. What is o(h(u))?
-507*u**2
Let z(u) = -562*u + 286*u + 265*u. Let d(q) = 11*q**2 + 8*q**2 - 15*q**2. Determine z(d(f)).
-44*f**2
Let k(d) = -1191*d. Let u(o) = -798*o. Calculate k(u(j)).
950418*j
Let s(z) = -31*z**2 + 11*z - 25*z**2 + 13 - 3 + 1. Let g(b) = -11*b**2 + 2*b + 2. Let m(x) = 11*g(x) - 2*s(x). Let r(k) = -4*k**2. What is m(r(u))?
-144*u**4
Let n(y) be the third derivative of -3*y**2 + 0*y**4 + 0 + 0*y + 0*y**3 + 19/30*y**5. Let c(a) = a. Calculate n(c(z)).
38*z**2
Let y(a) = 130684*a. Let c(h) = -2*h - 235. Calculate c(y(n)).
-261368*n - 235
Let x(r) = 26*r**2. Let c(z) = -35*z - 200. Let n(y) = -2*y - 10. Let s(v) = c(v) - 20*n(v). Determine s(x(f)).
130*f**2
Let z(p) = -30*p. Let r(h) = -h**3 - 17*h**2 - 62*h - 24. Let b be r(-12). Let k(s) be the second derivative of 0 + b*s**2 + 1/6*s**3 + 14*s. Determine k(z(o)).
-30*o
Let w(k) = -3*k**2. Let c(m) = -2*m - 199. Let y(b) = 2*b + 190. Let j(f) = 3*c(f) + 4*y(f). Determine w(j(t)).
-12*t**2 - 1956*t - 79707
Let m(i) = -10*i. Let y(z) = -18*z**2 - 3*z + 2. Let b(j) = -83*j**2 - 18*j + 11. Let s(c) = -2*b(c) + 11*y(c). Give m(s(q)).
320*q**2 - 30*q
Let z(g) = g. Let n(r) be the second derivative of -2 + 19*r + 0*r**2 - 53/3*r**3. Give n(z(u)).
-106*u
Let z(k) be the second derivative of k**4/6 - 1138*k. Let h(p) = 1683*p. Calculate h(z(q)).
3366*q**2
Let i(t) = 3*t**2. Let c(h) be the third derivative of -1037*h**5/60 - 520*h**2. Calculate c(i(w)).
-9333*w**4
Let a(l) be the second derivative of 5*l**4/2 + 1346*l. Let n(b) = -72*b. Give n(a(c)).
-2160*c**2
Let p(t) = -610*t + 3. Let w(y) = -7289*y**2 - 7278*y**2 + 14569*y**2. Calculate p(w(g)).
-1220*g**2 + 3
Let q(f) be the third derivative of -16655*f**4/24 - 2*f**2 - 1148*f + 1. Let u(t) = t. What is u(q( | {
"pile_set_name": "DM Mathematics"
} |
/(35685/580) - (-26)/39.
2/61
What is (-7200)/1050 - 6/(-7)?
-6
What is (-24)/9 - 5490/270?
-23
Calculate 648/(-288) + 111/12.
7
What is the value of -9 - ((-32)/192 - (-21)/18)?
-10
Calculate 18/27*(95/30 - 9/3).
1/9
Calculate (17 + 1806/(-98))/(-2).
5/7
What is -24 - (-11 - (18 + -8))?
-3
What is the value of (1 - (-3 + 5))/(25 - (-9576)/(-384))?
-16
What is -1694*1/(-132) - (-1 + 12)?
11/6
Evaluate (2/3)/((-15)/(-3)*(-22)/165).
-1
What is the value of ((-117)/(-156))/((-3)/4 + 3)?
1/3
What is the value of (3/(-15))/((-18)/195*11 + 1)?
13
What is (0 - 7/21)*90/(-10)?
3
714/(-204)*(-48)/105
8/5
Calculate (-374)/(-33)*(-9)/6.
-17
Evaluate (91/(-2))/(-13)*4752/504.
33
Calculate 30954/(-2211) + 1 + 0 + -1.
-14
15 - ((-4 - 4) + 23)
0
What is the value of (-21)/(-70)*(-14 + 4) + (-3)/3?
-4
What is (-35)/45*(10 - 1)?
-7
What is the value of (-11)/(-11 + 70/7)?
11
What is 23/(345/2) - (376/60)/2?
-3
Calculate 5040/364 - 60/(-390).
14
Evaluate 14/(-119)*((-3)/(-15))/((-8)/40).
2/17
Calculate (2/(-11))/(((-10)/110*-1)/(-1)).
2
What is 1/11 + (-3706)/(-374)?
10
(184 - 185)*-8*2
16
Evaluate -6*9*3/(-54).
3
What is (5/(-3) + (-12312)/(-243))*4/(-14)?
-14
15*476/420 + 0 + 3
20
Calculate (-54)/126*((-50)/(-18) - (-6)/27).
-9/7
What is (-4716)/204 + (-2 - 108/(-51))?
-23
Evaluate 6/(-32) + 119669/(-7568).
-16
(-5)/(105/(-6)) - (-44454)/(-3346)
-13
Evaluate 6/(-27) - 169/(-7371)*-9.
-3/7
What is -11 - ((8 - 0) + -11)?
-8
Calculate ((-9)/(-21))/((-167)/(-4676)).
12
Evaluate -14*(-6)/(-24) + 15/(105/28).
1/2
Calculate 8/510*(-5)/(-150)*75.
2/51
Evaluate 16/15*11655/518.
24
Calculate ((-1)/1)/(12/(-132)).
11
Calculate (-277 - -276)*(3 + -2).
-1
Calculate (-206 - -210) + -3 + (-1)/(-2)*2.
2
What is the value of (-6)/15 - ((-695)/(-125) + -9 + 3)?
1/25
((-13)/(-156)*-21)/((-93)/24 + 4)
-14
Calculate 60/((-10)/2) - (-5 + -2).
-5
What is 47/(1410/(-180)) + 17?
11
What is (-2 + 3)*((-10)/1 + 9) - 6?
-7
Evaluate 7 - 7 - ((-6)/9 - 14/(-39)).
4/13
Calculate ((-13)/156*5)/((-2)/6)*-12.
-15
What is (84/(-28) - 2) + ((-51)/(-10))/1?
1/10
Evaluate 3 + -21 + 36/9.
-14
What is -5 + -3 + (-128)/(-18)?
-8/9
What is (-19)/(152/(-136)) - 30?
-13
(-5)/6 + (-332)/(-72) + -4
-2/9
What is ((-7 - -2) + 6)/(-1)?
-1
Evaluate ((-1025)/6150)/((-167)/(-84) + -2).
14
Evaluate (2 + (-6)/(12/2))*(10 + -6).
4
Calculate (-72)/12 + 72/16.
-3/2
Calculate ((-368)/(-552))/(10/(-9)).
-3/5
7 + 1792/(-80) - -15
-2/5
Calculate 13/(-1) - (4/9 + 341/(-99)).
-10
(-14)/(-12)*(1230/(-42) + 23)*-3
22
What is the value of 3/((-36)/(-160)) + 5 + 112/(-21)?
13
Calculate (16/(1008/(-27)))/((-52)/28 + 1).
1/2
What is (-3920)/(-308) - 3/(-11)?
13
8/(2720/(-45)) - (-13 - 1275/(-100))
2/17
(2/(-4))/((-20)/(-17920)*32)
-14
What is (-14)/(2 - 270/72)?
8
18/6*(18 - (-760)/(-57))
14
Calculate 169/38 - (-648)/(-144).
-1/19
What is the value of 657/405 - 5*(-1 + (-94)/(-90))?
7/5
27202/2233 + (-4)/22
12
Evaluate (0 + (-27)/(-36))*((-47)/(-3) - 1).
11
What is (-7 - -3) + (-24)/1140 + 4?
-2/95
-6 - 1134/(-135)*6/9
-2/5
(-113)/9 - (-11 - 2)
4/9
((-1134)/(-23814))/((-2)/132 + 0)
-22/7
What is the value of (-2)/(-8)*(7 + (-1460)/220)?
1/11
Evaluate -23*(-56)/(-10304) - (1 - (-245)/(-232)).
-2/29
Calculate (((-765)/9)/(-17))/(((-63)/14)/9).
-10
(2304/3)/48*(0 + 6/(-8))
-12
Calculate -12 + 25/2 + (-90)/360.
1/4
Evaluate (((-6)/(-7))/((-95)/(-190)))/(5/(-7)).
-12/5
(-2)/(-1105)*377 + 4/34
4/5
Evaluate 7 - (1 + -2 + (-10 + 45)/(-5)).
15
Calculate 3 - (5 - 6)*7.
10
Evaluate -11 + (7 + 4)*3 + -11 - 27.
-16
(8/(-30))/((-578)/867)
2/5
Evaluate (1 + 5)*2 + (-7 - 20/(-10)).
7
Calculate 176/(-8) + 8448/385.
-2/35
((-5)/(-2))/((-515)/(-1442))
7
What is the value of 1/(-22) - (21 + (-246)/12)?
-6/11
Evaluate (-144)/29 - (-2)/16*40.
1/29
What is the value of ((-2)/6)/((-1594)/157806)?
33
What is (-6 - (0 - 9))*(3 + 0)?
9
Calculate 34/30 + (4 - 3)/(-4 - -3).
2/15
(-2961)/(-270) - 7/((-14)/(-22))
-1/30
What is the value of 27/(17010/(-375)) - 3/(-6)?
-2/21
What is ((-91)/(-39))/((-2849)/74)?
-2/33
-5 + -12*(-11 - (-444)/36)
-21
What is the value of (-76)/(-12)*-3 - (-4 - -12 - 15)?
-12
(-12336)/(-9072) + 2/(-27)
9/7
((-2)/(-4))/((-92)/322)
-7/4
What is the value of 280/160 + (10 - 2) - 10?
-1/4
Evaluate -9*(-460)/405 - 10.
2/9
What is ((-180)/25*-1)/(2/(-5))?
-18
What is the value of -4 + -7 - 13/78*48?
-19
What is 4/(-6) + 7 + 6 + (-132)/18?
5
What is the value of (4 - (-305)/(-75))*80*22/2464?
-1/21
What is (217/(-279))/(385/(-990))?
2
What is the value of (-6)/27 + (-4)/(0 - -468)?
-3/13
What is the value of (348/145)/((-4)/(-10))?
6
-40*20/(-136) - (3 + 12 + -9)
-2/17
Evaluate 4 - (-11)/9*(-46 + 43).
1/3
What is the value of -111*(123/(-9) - -14)/(-1)?
37
What is (3/(-30))/((-9)/(-36))?
-2/5
What is the value of (108/(-32) + 3)*120/(-45)?
1
Evaluate (11 - (-13 - -25))/((-9)/261).
29
What is (-10 + 10 + 1)*(2 + -17)?
-15
What is the value of (-1677)/(-1118)*8/9*(-3)/(-34)?
2/17
Calculate (2*4)/((41/451)/((-4)/(-22))).
16
Calculate 7 + (40/(-80))/(436/(-144) + 3).
25
What is ((-140)/(-560))/((-4)/(1216/(-4)))?
19
Calculate 819/(-455) + 3592/2040.
-2/51
What is the value of -7 + (2 - (-14)/7) - (-220)/66?
1/3
16 + (355 + -356)/(1/30)
-14
What is 5/(-15)*(-5)/(45/12)?
4/9
What is (-1)/((-4)/27) + 2*(-33)/(-264)?
7
Calculate (1170/(-13))/(-4 - (-6 + 5)).
30
Calculate -25 - ((-6498)/270 - 1).
1/15
What is the value of 3/(1*-18) + 728/48 + -32?
-17
Calculate (-201)/(-558)*10 - 4/(-62).
11/3
(-75)/(-2)*764/1910
15
What is (-3)/(-3) - (-3 + 28/2)*-1?
12
What is the value of 46/690 + ((-133)/(-105) - -5)?
19/3
What is the value of 1/2*10 + -1 + -13?
-9
What is ((-245)/(-82) + -3)/((-39)/4212*-27)?
-2/41
What is (1 + -21)*(-210)/(-175) + 10?
-14
27 + 1036/(-42) - 44/24
1/2
((-338)/(-130) - 1)/(6 - 2)
2/5
((-1)/6 + (-493)/714)/((-1)/(-14))
-12
What is the value of (-30)/6 + 72/12?
1
What is 4 - -10 - 17755/1273?
1/19
What is 391/(-85) + -13 + 18?
2/5
(25790/(-15474))/(1/(-9)*-1)
-15
((-259)/666*9)/((-14)/6)
3/2
Calculate (-3 + -14)*(-606)/(-909).
-34/3
Evaluate 2/(-21)*3 - (-960)/(-560).
-2
Evaluate (-10 - -5) + 22 + 23/((-92)/(-8)).
19
43/(-1 + 44)*9*(-2 + 5)
27
What is the value of (-30)/180 - (10 + (-1200)/45)?
33/2
What is 5/(-26 - (-1497)/57)?
19
What is the value of 45/(-27)*(-216)/40?
9
Calculate (1824/(-95) - -30)/6.
9/5
What is the value of 2/(-10)*125*51/(-85)?
15
Evaluate (56/4 - (4 + -2)) + (-28)/14.
10
What is the value of (-33)/((-3465)/1407) + (-2*20)/4?
17/5
Calculate (-513)/855 + (0 - (83/(-5) - 1)).
17
What is the value of (612/(-4284))/(2/(-182))?
13
Evaluate (2/50)/((-25)/450*-9).
2/25
(-18 - 629/(-34))/(-9)*4/(-3)
2/27
What is ((-826)/3717)/((-102)/(-27))?
-1/17
Evaluate 2/(-5) - 144/(-510) - (-247)/221.
1
What is -41 + ((-714)/(-98) - (-28)/(-98))?
-34
What is (-47)/6 + 1 - (-31)/((-4278)/(-115))?
-6
Evaluate ((7 + (-5)/1)*2/14)/(-1).
-2/7
Calculate 0 - (13 - 8 - 1*-15).
-20
Evaluate ((-12)/54)/((-2)/27).
3
Evaluate (-2 - 7) + 2 + 23/((-115)/(-50)).
3
Calculate (-3)/(-36)*-3*(40 - 60).
5
What is the value of (-5424)/(-4320) + -5*21/(-350)?
14/9
1159/(-114) + 11/(66/60)
-1/6
What is the value of 4/26 + -33*(-17)/(-16575)?
3/25
Evaluate (-83694)/7622 - (-6)/(-309).
-11
1 - 1696/50 - (14104/(-1025))/(-172)
-33
Evaluate (-252)/48*-10*(-26)/39.
-35
What is -19 + (-18020)/(-646) + -9?
-2/19
What is the value of -2 + -16 + 738/54?
-13/3
Evaluate (-61 - -71)*(-16)/20.
-8
What is 14/(-784)*8 + 6/28?
1/14
What is the value of (5 - 8 - (-14 + 14)) + 10?
7
Evaluate -8 - ((-934)/105 + 12/15).
2/21
What is the value of (-244)/112 + (29/(-4) - -8) + 2?
4/7
Evaluate (2*(-1)/(-12))/((-912)/2052).
-3/8
Evaluate (8/(-44))/(156/143).
-1/6
What is the value of 2 - 80/6 - (832/(-78))/(-16)?
-12
What is the value of 1806/1634 + (-4)/(-18) + (-22)/18?
2/19
Evaluate (-48)/72 + 1 + 21/18.
3/2
(-44)/3*-54*(-39)/1404
-22
Calculate 2/(-3)*((-228)/32 - (2 + -11)).
-5/4
Calculate (24 - 22) + (-143)/44.
-5/4
What is -1*(970/582 - (-148)/(-6))?
23
Calculate -15 + 17 + 3 + 114/(-12).
-9/2
What is 2/3 + (580/(-15) - -28)?
-10
What is the value of (0/2 + -90)*404/1010?
-36
Calculate 6/8*(1056/660)/((-66)/(-10)).
2/11
((-156)/(-70) - 2/5) + 1617/(-1155)
3/7
-2*140/48*12/(-100)
7/10
24/1344*28 - 9/6
-1
Calculate -5 + (12/15)/(34/(-255)).
-11
What is the value | {
"pile_set_name": "DM Mathematics"
} |
y - 88. Put 25, t, y in decreasing order.
25, y, t
Suppose 0 = -4*f, l = -2*l - f - 9. Let v(n) = -n**3 - 5*n**2 - 5*n + 1. Let j be v(l). Put -1, -26, j in descending order.
-1, j, -26
Let n = 2/1905 - -1217/655320. Let i = 341/1032 + n. Sort -58, 0.1, i in descending order.
i, 0.1, -58
Let o = 1112/2755 - 2/551. Let a be (3 + -7)*1/(-2). Sort 3/2, a, o in increasing order.
o, 3/2, a
Suppose -4*r + r - 3*k = 51, 0 = -4*r + 5*k - 32. Let l = r - -15. Let q(f) = -f**3 + 5*f**2 - 2*f - 12. Let c be q(4). Sort -1, l, c, 0 in decreasing order.
l, 0, -1, c
Let o = -5 + 5.5. Let g be 8*(-4)/(-16)*2. Let d be (1/g)/(5/((-100)/(-5))). Put d, 5, o in ascending order.
o, d, 5
Let u be -4 + 5 + (-1 - 3). Let w(a) = -a + 20. Let j be w(-6). Let y(v) = -v**3 - 13*v**2 - 30*v - 2. Let b be y(-10). Sort 3, j, u, b in increasing order.
u, b, 3, j
Let i be ((-104)/6)/(-4) + -3. Let s = 21091 - 21083. Sort 4, i, 2, s.
i, 2, 4, s
Let m = -0.5308 - -0.0308. Sort -1/65, m, 4/9, -0.1 in decreasing order.
4/9, -1/65, -0.1, m
Let c be 15*((-176)/(-10))/2. Suppose -2*f - f = 5*b - 659, -2*f - 137 = -b. Let o = b - c. Put 0.3, o, 45/2 in descending order.
45/2, o, 0.3
Let x = -4.2 + 2.2. Let t = -2804.3 + 2804. Put x, -5, t in ascending order.
-5, x, t
Let n be 109 - 76 - (6 - 1/2*2). Let m be -2*1 + (-5 - -10). Sort m, -3, n in decreasing order.
n, m, -3
Suppose 2*m = 10, 3*m - 31 = -4*r - 4. Let n be (22 - 26) + (9/2 - 0). Sort r, n, 0.4.
0.4, n, r
Let f = 12.129 + -11.729. Put -26, -1, 3, 1, f in decreasing order.
3, 1, f, -1, -26
Suppose 57*h + 6 = 54*h. Put -3, h, -5, 0.4 in decreasing order.
0.4, h, -3, -5
Let f = 20523 - 20525. Sort 1, f, -0.2, 0.2, 836 in increasing order.
f, -0.2, 0.2, 1, 836
Let z = -97 - -97. Sort 4, z, 21, 6, -3 in descending order.
21, 6, 4, z, -3
Let d be (32/72)/(26/(-117)). Suppose 25 = -3*k - 158. Sort -3, d, 1, k.
k, -3, d, 1
Suppose -188 = 10*v - 198. Let k be (-42)/(-10) - 4/20. Sort -3, k, v, -1.
-3, -1, v, k
Suppose -2 = -3*g + 16. Suppose 4*p - 13 - 11 = 0. Let l = p - g. Sort 2, l, -1 in descending order.
2, l, -1
Let c(f) = f**3 + 6*f**2 + 6*f - 1. Let q be c(-5). Let t be q/1*15/5. Let s be (-8)/(-36) + (-50)/t. Put 1, s, -5 in ascending order.
-5, 1, s
Let u be (2/(-4))/(161/(-322)). Let z = -25 - -17. Put z, u, 5 in ascending order.
z, u, 5
Let n = -519.507 - -2.107. Let j = -517 - n. Sort j, 0.1, -3.
-3, 0.1, j
Let q(r) = r**3 - 3*r - 2. Let l be q(-2). Let s = -79 + 155. Let w = s - 74. Sort -2, l, 22, w in decreasing order.
22, w, -2, l
Suppose -5*b + 20 - 60 = 0. Suppose 5*a + 20 = -5*m, -10*a + 7*a - 16 = 5*m. Sort -1, 4, a, b in decreasing order.
4, -1, a, b
Suppose -242*z + 205 = -283*z. Suppose -3*h + 4*v - 57 = -0*h, 2*h + 36 = 2*v. Sort h, -1, z, 1 in descending order.
1, -1, z, h
Let g be ((7 - 14)*-5)/((-20)/(-8) + 0). Sort -2, 3, g, -1 in decreasing order.
g, 3, -1, -2
Let f = 31727 - 31731. Suppose 0 = -0*k - k. Sort -2, k, 2, f in descending order.
2, k, -2, f
Suppose -199*x + 155*x = -2684. Let m = 148 - 102. Let g = m - x. Sort g, 2, -4.
g, -4, 2
Let y(s) = -100*s + 1704. Let n be y(17). Let q(d) = -d**3 - 4*d**2 + d + 4. Let l be (-30)/7 + (-4)/(-14). Let u be q(l). Sort u, n, 3.
u, 3, n
Let j(z) = 2*z**2 + 61*z + 31. Let n = -348 + 318. Let g be j(n). Let i = 33.8 + -3.8. Sort i, -2, g.
-2, g, i
Let w = 16360 - 16257. Sort -2, -0.04, w.
-2, -0.04, w
Suppose -5*h = 2*b + 11, 3*b + 11 = -5*h + 3*h. Suppose -162 - 390 = 491*g + 4358. Put b, g, 3, -4 in ascending order.
g, -4, b, 3
Let w be 53/(-9) - -2 - (-28 - -25). Sort -0.5, w, 6/13, -5/6 in ascending order.
w, -5/6, -0.5, 6/13
Suppose 5*h + 3 = s, 0*s + 4*h + 44 = 4*s. Suppose 5*g - s*g - 64 = 0. Put -4, -5, g, -2 in descending order.
-2, -4, -5, g
Let r = -0.02842 + -1.97158. Sort 8, r, -52, 0 in descending order.
8, 0, r, -52
Suppose -19*a = -198*a - 358. Sort 3, 4, a, -6, -1 in increasing order.
-6, a, -1, 3, 4
Let i(b) = 2*b - 2. Let t be i(-2). Let h(n) = -n**3 + 121*n**2 - 330*n + 10948. Let f be h(119). Sort t, 5, -5, f in decreasing order.
5, f, -5, t
Suppose n = 4*m - 128 + 224, -2*n - 3*m = -258. Sort 1, -2, n in increasing order.
-2, 1, n
Let q = 120.07 + -123.07. Let t = -242/95 - -13/5. Sort 4, q, t in increasing order.
q, t, 4
Let g be (4/(-6))/(1/(-3)). Let l(p) = 6*p + 13. Let w be l(-3). Let y be 4 - (2/(-1) + (-2 - w)). Sort y, g, -5 in decreasing order.
y, g, -5
Let k = -14957 - -14910. Put -2, 0, k in increasing order.
k, -2, 0
Let o be (-234)/104 + -9*9. Suppose 4*j - 3*x + x - 336 = 0, 170 = 2*j - 2*x. Let r = j + o. Sort 0.1, -2, r in decreasing order.
0.1, r, -2
Suppose 0 = 3*y + 4*n + 67, -y + 0*y - 21 = n. Suppose 2*o - 1 = 3*g, 0 = -151*o + 148*o + 6. Put y, g, -5 in increasing order.
y, -5, g
Suppose -15*n - 2 = 22*n - 39*n. Put -3, -13, n, 2 in decreasing order.
2, n, -3, -13
Suppose 3*j = -5*d - 34, 2*d + d + 4*j + 27 = 0. Suppose -435 = 15*s - 20*s. Suppose s = -4*r + 15. Put d, r, -4 in decreasing order.
-4, d, r
Let r be (-12)/2 + 8088/1347. Let t = r - -848/11225. Sort 6, t, -1/5, -0.5.
-0.5, -1/5, t, 6
Let z = 253/4 + -323/4. Put -0.5, z, -5, 0.3 in decreasing order.
0.3, -0.5, -5, z
Suppose 6 = -3*s + 5*s. Let y = -1.5 - -5.5. Sort -1, y, s, 0.06 in ascending order.
-1, 0.06, s, y
Let n = -8.2186 - -0.3856. Let r = -0.067 + n. Let a = 7.5 + r. Put -1/11, 0.4, a in increasing order.
a, -1/11, 0.4
Let a = -7.99 - -8. Let c = -176 - -238. Let h = 61 - c. Sort -0.4, h, a, 1 in ascending order.
h, -0.4, a, 1
Let x = 121.47 - 121.17. Suppose -29 = -d + 5*k, 2*d = -k - 2 + 5. Put x, 0.5, 15, d in increasing order.
x, 0.5, d, 15
Suppose -84 = -8*g - 20. Let m be (-9 + 13)*2/g. Sort m, 0, 3/4, -20 in decreasing order.
m, 3/4, 0, -20
Suppose 2*w - 2*l = 6, 2*l - 12 = 4*w - 14. Put 4, w, 88 in decreasing order.
88, 4, w
Suppose -v = -3*q - 40, 0 = q - 5*v - 6 - 4. Let h be ((-81)/q + -5)/((-2)/(-10)). Let m(y) = 2*y**2 + 2*y - 7. Let d be m(h). Sort 7, -1, d.
-1, d, 7
Let x = 0.1 + -10.1. Let s = x - -11. Let j be ((-9)/(-36))/(3*2/(-8)). Sort -1/7, s, j.
j, -1/7, s
Suppose 7 = 4*f + s, -f + 4*s - 7 = 4. Let p be -2 + (4 - f) + 0. Let k = 3 + 1. Sort k, -3, p, -5.
-5, -3, p, k
Let b(n) = -182*n - 8556. Let a be b(-47). Sort -32, -4, -3, a, 0 in increasing order.
-32, -4, -3, a, 0
Let u = 2.2552 - 1.7552. Sort -220, u, 1/3.
-220, 1/3, u
Suppose -f - 11*v + 12*v = 3, -4*v = -3*f - 15. Let i = -16 - -22. Let r(y) = -y**3 + 6*y**2 - 3. Let q be r(i). Put 5, q, f, 1 in decreasing order.
5, f, 1, q
Suppose -2*m - 4*y + 10 = 2, 5 = 2*m + y. Suppose 6*z = 2*z - m*n, -4*z - 5*n + 12 = 0. Sort 5, 2, z, 3 in descending order.
5, 3, 2, z
Let j = -2.5 - -20.5. Let s = j - 14. Let f = -15.1 - -15. Put -1/8, s, f in descending order.
s, f, -1/8
Suppose 556 = 5*i - 4*i + 4*w, 3*i = w + 1642. Let l = -549 + i. Sort -0.5, -0.2, l, 26 in ascending order.
l, -0.5, -0.2, 26
Let m = 16524 - 16518. Sort -2, 1, 0, 569, m.
-2, 0, 1, m, 569
Let l = -164 - 180. Let w = -349 - l. Sort -34, 4, w.
-34, w, 4
Suppose -75 + 141 = b + 10*b. Let a = -11 - -9. Put a, 22, 4/9, b in increasing order.
a, 4/9, b, 22
Let k be 7*1/(-15) - (15 + (-237)/15). Put 3/5, k, 2/9, -0.3, -0.62 in descending order.
3/5, k, 2/9, -0.3, -0.62
Suppose 0 = -9*n - 8*n + 68. Let g = -234 + 230. Put -5, -0.4, n, g in ascending order.
-5, g, -0.4, n
Suppose -4*f - 2*p = -20, -4*f + 10*p + 24 = 13*p. Put -6, 18, f, 2 in descending order.
18, f, 2, -6
Suppose 5*d - 7 - 93 = -5*i, -4*i - d = -74. Suppose 4*w - i = w. Suppose 17*g - 32 = 14*g - 5*z, -4*z = -3*g - 4. Sort g, 0.4, w in ascending order.
0.4, g, w
Suppose 125 - 120 = -5*o. Let p = o - 3. Let x be (1*-2 - p)*6/(-30). Sort 0.2, 3/5, x, -3 in descending order.
3/5, 0.2, x, -3
Suppose 4*a = 4*d - 220, 19*d = 17*d + 8. Let k = 167 + -162. Put k, 1, a in increasing order.
a, 1, k
Let l = 806.847 + -807. Sort 3, -3/5, l in decreasing order.
3, l, -3/5
Let k be (3 - 2)*(-6 + 9). Let a be k - (-1 - (-3 + (-16)/(-4))). Let q = 0.02 + -3.02. Sort a, q, 1, 0.1.
q, 0.1, 1, a
Suppose -244*d = -233*d + 11. Suppose 51*h = 46*h. Put h, -2, d in increasing order.
-2, d, h
Let x = 25/164 + 3/2132. Put x, 0, 5, 3 in descending order.
5, 3, x, 0
Let t(g) = g**2 + g + 1. Let f(k) = -7*k - 2. Let u(d) = -f(d) + t(d). Let c be u(-6). Let l be -2 + -1 | {
"pile_set_name": "DM Mathematics"
} |
+ 71*f + 0 - 8*f**2 - 38*f + 10*f**2 + 70*f as g*f**2 + x + t*f and give t.
103
Rearrange -13*h**3 - 2*h + 172*h**4 + 170*h**4 + 3*h**2 - h**2 - 347*h**4 to the form w*h**2 + s*h**3 + x*h**4 + t + q*h and give x.
-5
Rearrange (19 - 50 + 16)*(16*v**2 - 9*v**2 + 27*v**2) to the form r + z*v**2 + g*v and give z.
-510
Rearrange (-5*p**2 + 2*p**2 + 2*p**2)*(0*p + 0*p + 2*p) + 1757*p - 1803*p - 2*p**3 - 4*p**3 to k*p + f*p**3 + y*p**2 + q and give k.
-46
Rearrange 0*y - 37 + 40 - 2*y to b + o*y and give b.
3
Rearrange 538*f - 536*f + 91*f**3 - 15*f**3 - 2 to l + z*f**3 + r*f**2 + c*f and give l.
-2
Express 11*o**2 + 0*o**3 + 7*o**3 - 6*o**3 + 26*o**2 - 59*o**2 + o**4 in the form s*o + j*o**4 + g + v*o**2 + k*o**3 and give j.
1
Express 18 - 2*r**3 + 10 - 5 + 3*r**3 in the form l*r**3 + a*r + h*r**2 + v and give l.
1
Rearrange -2*p**2 + 0*p**3 + 7 - 641*p + 643*p + p**3 to d*p**2 + b + n*p**3 + f*p and give b.
7
Rearrange (r + 2 - 2)*(-12 - 13 - 3)*(-245 - 10*r + 245) to u + q*r**2 + k*r and give q.
280
Express -261 + 21*z**2 - 63 - 7*z**2 - 13*z**2 as r*z + g*z**2 + o and give g.
1
Express (-3 + 0 + 2)*(-2*k + 23 - 23) + (3 - 3 + 2)*(k + 2*k - 5*k) + 28 + 5*k - 28 as h + z*k and give z.
3
Express (-2*h**2 + 17 - 17)*(-40 + h + 12*h**2 + 40) as j*h + b*h**3 + x*h**2 + r*h**4 + a and give b.
-2
Express (-2*l + 2*l - 2*l**3)*(2*l - 2*l + l) - 309*l**4 + 4*l**4 - 260*l**4 - 116*l**4 in the form o*l + m*l**2 + x + a*l**3 + p*l**4 and give p.
-683
Rearrange 48*w**3 - 2*w - 50*w**3 + 8 - 3*w + 5*w + 2*w**2 to the form f + o*w + l*w**2 + h*w**3 and give l.
2
Express -40*m + 89*m - 3*m - 3 as k + p*m and give k.
-3
Rearrange (c**2 + c - c)*(-436 - 299*c - 290 + 301*c) to the form x*c**2 + l*c**3 + u*c + j and give x.
-726
Express (-13 + 19 + 6*l - 8)*(4 + 3 - 5) + 3*l - 4*l - 2*l + 3*l - 4*l + 0*l in the form h*l + a and give h.
8
Express 68*y + 2*y**3 + 12 + 72*y + 1 - 8*y**2 - 138*y as b*y**3 + h*y**2 + a*y + t and give a.
2
Express -2*l - 5*l + 3*l - 8*l - 4*l + l + (-3 + 0 + 2)*(-l + 2*l + 3*l) in the form p*l + k and give p.
-19
Rearrange (-114 - 387 + 216)*(-12*z**2 + 10*z**2 + 1 + 6*z**2) to v + x*z + y*z**2 and give y.
-1140
Express -p**2 + 24 + 11 + 22*p**3 + 17*p**3 - 53 + 15 in the form l*p**2 + o*p**3 + x*p + k and give o.
39
Rearrange 419*d + 539*d - 266*d + 590*d to u*d + o and give u.
1282
Express -177*c + 3*c**2 + 176*c - 4*c**2 + c**3 in the form v*c + k*c**3 + l + p*c**2 and give k.
1
Express (2*y**2 + 3*y - 3*y)*(4 - 3 - 2) + (51*y + 2*y - 98*y)*(227 - 227 + 10*y) in the form v*y + p + f*y**2 and give f.
-452
Rearrange 5 - 27*i**2 + 97*i**2 - 2 + 27*i**2 to c*i**2 + l + d*i and give l.
3
Rearrange (-2 - v + 2 + (2 - 3 - 3)*(-3*v - 3*v - 4*v))*(-2 + 1 + 0) to s*v + k and give s.
-39
Rearrange -12*b - 146*b**2 - 14*b + 3*b**2 + 25*b to the form l*b**2 + v + i*b and give i.
-1
Rearrange -3*k**2 - 5*k**3 - 2*k**3 - 2*k**2 + (43 - 26*k**2 - 2*k - 21*k**2 + 48*k**2)*(-5*k + 2*k + 2*k) to p*k + a*k**3 + g + y*k**2 and give a.
-8
Rearrange (0 + 2 - 3)*(2 + 0 - 11)*(155*h**4 + 1646*h**2 - 1646*h**2) to v*h**4 + b*h + x + f*h**2 + p*h**3 and give v.
1395
Express 9*t + 217 - 217 in the form k + v*t and give v.
9
Express 1081 - 1083 + 686*n + 360*n in the form k*n + o and give k.
1046
Rearrange 2*d - 11*d**3 - 2*d**4 - 2*d**3 - 11*d**4 + 3*d - 4*d to c*d**4 + o*d**3 + g + a*d**2 + n*d and give c.
-13
Express (-s - 2*s + 2*s)*(-22*s - 9 + 48*s - 23*s) + 7*s**2 + 4*s - 4*s as i + r*s**2 + x*s and give r.
4
Rearrange -283*n - 282*n - 252*n**2 + 567*n to the form k*n + j*n**2 + q and give k.
2
Express 159*r - 41*r + 365*r + 225*r as l*r + a and give l.
708
Rearrange -298*q + 31*q - q**2 - 55*q to the form v + x*q**2 + h*q and give x.
-1
Express -2*o + 827 + 2*o - 819 - 9*o**3 as p*o**2 + v + i*o**3 + g*o and give v.
8
Express 241 - 479 + 238 + 555*o**2 in the form n*o**2 + p + y*o and give n.
555
Rearrange (-14*v - 27*v - 13*v)*(2 - 4 + 1)*(2*v + 3*v - 7*v) to the form z*v**2 + m + t*v and give z.
-108
Rearrange 2*j**4 - 2 - 46*j**3 + 103*j**3 - 7*j**2 - 52*j**3 to the form z + d*j**4 + k*j + n*j**2 + c*j**3 and give n.
-7
Express 698*f**2 + 7 - 1297*f**2 - 7 - 1299*f**2 + (0*f**2 - f**2 + 3*f**2)*(-4 + 2 + 1) in the form v*f**2 + t + s*f and give t.
0
Express 237*z + 89 - 236*z - 18 as q*z + c and give c.
71
Rearrange (-6 + f + 22 + 12)*(3 + 0 + 0)*(-8*f + 8*f + 15*f**2) to the form p*f + a*f**2 + d*f**3 + c and give d.
45
Express (-6*d - 3*d + 5*d)*(91*d + 447*d + 213*d + 591*d + 466*d) in the form b*d**2 + s*d + n and give b.
-7232
Rearrange (5*y - 3*y - 3*y)*(2*y - 6*y + 3*y) + 2 - 2 + 2*y**2 + (-2 - 2 + 6)*(3*y + 5*y**2 - 3*y) + 19*y**2 - 8*y**2 + 6*y**2 to s*y + b*y**2 + m and give b.
30
Rearrange (-48*o**2 - 18*o**2 + 32*o**2)*(46*o**2 - 100*o**2 + 37*o**2) to n*o**2 + g + j*o + a*o**4 + m*o**3 and give a.
578
Express -1 + 1 - s + (-54 - 23 + 181)*(-3*s + 2*s + 0*s) + (0 + 1 + 1)*(-4*s - s + 4*s) in the form t + a*s and give a.
-107
Express 220*d**3 + 26*d - 109*d**3 - 9*d**2 - 110*d**3 as m + z*d + o*d**3 + y*d**2 and give z.
26
Rearrange -a**3 + 2*a**4 + 4*a**3 - 2*a + 0 + 3 - 9*a**3 to the form o*a**4 + q*a**3 + c + k*a**2 + f*a and give c.
3
Rearrange (-2 - 4 + 5)*(n + 3*n - 3*n) - 43*n - 57*n + 23*n to v*n + y and give v.
-78
Express (-12*y**2 + 2*y**2 + 4*y**2)*(1 + 116*y - 31*y + 103*y) in the form b + i*y**2 + s*y + p*y**3 and give i.
-6
Express (-7*q + 18*q - q + (0 + 3 - 1)*(-4 + 4 + 2*q) + 4*q - q - q + 0*q - 6*q + 4*q)*(0*q - 5*q + 2*q) as t*q + w + p*q**2 and give p.
-42
Express (-5*w + 4*w - 7*w)*(1 - 1 + 2)*(2 - 7 + 10) in the form u + v*w and give v.
-80
Rearrange 6*i - 1435*i**2 + 1 + 1436*i**2 + 19*i**3 - 8*i + 2*i**4 to u*i**3 + d*i + q + x*i**2 + h*i**4 and give q.
1
Rearrange -j**4 + 9 + j**2 - 16*j**3 - 2 + 0*j - 5 + 3*j**4 + 2*j to the form d + t*j**3 + f*j**4 + x*j**2 + u*j and give x.
1
Express -g**2 + 158*g**4 + 27 + 107*g**4 - 28 in the form p + r*g**4 + b*g**2 + a*g + n*g**3 and give p.
-1
Rearrange (4 - 1 - 8)*(2*m**2 - 2*m**2 - m**2 + (-3 - 1 + 6)*(1 - 1 - 2*m**2) + m + 2*m**2 - m - 9 - 5*m**2 + 9) to the form h*m + c*m**2 + j and give c.
40
Rearrange -6*m**3 - 2281*m + 2294*m + 2*m**3 to the form x + k*m**2 + z*m + p*m**3 and give x.
0
Rearrange -4*m**2 - 3 + 3 + (-189 + 189 - 77*m)*(-m + 0*m + 3*m) to the form k*m + c + v*m**2 and give v.
-158
Express (-3*s**3 + 3*s**3 + 6*s**3)*(-5 - 3 - 10)*(-3*s + 0*s + s) in the form f*s**4 + a*s + d + p*s**2 + v*s**3 and give f.
216
Express 4*d**2 + d**3 + d + 2*d**4 + 13*d**2 + 2*d**4 - 19*d**2 as m*d + t*d**2 + l + n*d**4 + k*d**3 and give t.
-2
Rearrange -2 + 241*s - 126*s + 545*s + 23*s to p*s + b and give p.
683
Express (5*d - 8*d - 3*d)*(-2*d + 1 - 1) - 5 + 2*d**2 + 5 + (-4 + 4 - 2*d**2)*(-2 + 4 - 4) in the form v*d**2 + p + i*d and give v.
18
Express (174 - 4*j + 14*j**2 - 174)*(3*j - j - j) in the form w*j**2 + a*j + x + f*j**3 and give f.
14
Rearrange 88*d**2 - 11*d**2 + 251*d - 255*d + 2 to the form z*d**2 + p*d + o and give z.
77
Express (8 - 8 + 3845*k - 1333*k)*(-1 + 1 - k) as h + n*k**2 + s*k and give n.
-2512
Express (0 - 2*p + 4*p - 2)*(-4 + 0 + 0) in the form h + z*p and give z.
-8
Rearrange 2*j - 15 - 2 - j**2 - 80*j**4 + 17 to o*j + u*j**3 + l*j**4 + s*j**2 + f and give s.
-1
Rearrange (3 - 3 + 3*g**2)*((15 - 4 + 138)*(2 + 1 - 1) + (-4 - 1 + 6)*(0 - 1 - 1)) to the form z*g**2 + d + w*g and give z.
888
Rearrange 13*v - 1205 + 1200 - 13*v**2 - 12*v to the form j + l*v + k*v**2 and give j.
-5
Express a + 4*a - 3*a + (a - 3*a + 3*a)*(-1 - 4 + 0) - 2*a + a - a - 3*a + 4*a - 2*a in the form o + i*a and give i.
-6
Rearrange 1 - 53*x**3 + 9423*x - 9421*x + 370*x**3 + x**2 to l*x**3 + u*x**2 + f*x + n and give l.
317
Express (71 - 71 + 2*j)*(0*j + j + 6*j) + 3*j**2 + 4*j**2 - 3*j**2 as m*j**2 + z*j + k and give m.
18
Rearrange -7*x - 11*x - 6 + 17*x + 25*x to u + q*x and give u.
-6
Rearrange 15*g**3 - 27*g - 11*g**3 + 5*g + 2*g**4 + 5*g to the form q*g + j*g**2 + k + w*g**4 + m*g**3 and give m.
4
Express -7*t**2 + 4*t**2 + 3*t**3 + 3*t**2 + t**2 - 10*t**3 in the form a + d*t**2 + q*t**3 + v*t and give q.
-7
Express 1 + 206*j - 1 - 419*j - j**2 as i*j**2 + p*j + n and give i.
-1
Rearrange 0 - 10126*a - 4 - 2*a**2 + 10125*a to the form v*a + d + s*a**2 and give s.
- | {
"pile_set_name": "DM Mathematics"
} |
7)
Simplify -1*sqrt(18)/(sqrt(90)/sqrt(10)).
-sqrt(2)
Simplify (-1 + (sqrt(13) - (-1 + sqrt(65)/sqrt(5)) - (sqrt(104)*-3)/sqrt(8)))**2.
117
Simplify sqrt(33)/(sqrt(6)/sqrt(18)) - (sqrt(11) + (sqrt(132)*-2)/sqrt(12))*2.
5*sqrt(11)
Simplify ((1*sqrt(102) - sqrt(102))*-3)/sqrt(6).
0
Simplify (-1*sqrt(76))**2 + -4.
72
Simplify (-2 + sqrt(396))**2 - (4 + sqrt(11) + 1)**2.
-34*sqrt(11) + 364
Simplify ((sqrt(19) + 5 + sqrt(19))*1 - sqrt(209)/(sqrt(132)/sqrt(12)))**2.
10*sqrt(19) + 44
Simplify -1*(-4 + (-4 + 0 + sqrt(7) - (-1 + sqrt(7) + -5)))**2.
-4
Simplify (1*sqrt(57)/sqrt(3))**2*2 - (4*(-2*sqrt(171))/sqrt(9))**2.
-1178
Simplify -3*sqrt(684) - sqrt(209)/(sqrt(176) + sqrt(11)).
-91*sqrt(19)/5
Simplify ((5*sqrt(102)*-1 + sqrt(102))/(sqrt(864)*-2))**2.
17/36
Simplify (-5 + ((sqrt(143)*2 + sqrt(143))/sqrt(11))**2)*-3.
-336
Simplify 1*sqrt(3) + 2 + sqrt(12)/sqrt(4) + -5 - (sqrt(75) + (-3*sqrt(75)*2)**2).
-2703 - 3*sqrt(3)
Simplify -1*(sqrt(48)/sqrt(3)*1)/sqrt(8).
-sqrt(2)
Simplify 4 + -3 + sqrt(567).
1 + 9*sqrt(7)
Simplify (4 + (sqrt(147) - sqrt(147)*-4)*-6)**2.
-1680*sqrt(3) + 132316
Simplify -1*(sqrt(91)/(-1*sqrt(343) + sqrt(7)))**2.
-13/36
Simplify ((sqrt(14) + sqrt(28)/sqrt(2))*2)/(sqrt(175)*-1).
-4*sqrt(2)/5
Simplify sqrt(30)/(sqrt(2688)/sqrt(7))*-1.
-sqrt(5)/8
Simplify (1 + sqrt(245) - sqrt(245)) + 0.
1
Simplify ((1 + sqrt(63) - sqrt(63)) + sqrt(63))*3.
3 + 9*sqrt(7)
Simplify 6*sqrt(30)/sqrt(6) + -3.
-3 + 6*sqrt(5)
Simplify 0 + -3 + -1*sqrt(5) + 3.
-sqrt(5)
Simplify (sqrt(24)/(1*sqrt(128) + sqrt(8) + sqrt(8)))**2.
1/12
Simplify (-1*(sqrt(156)/(sqrt(24)/sqrt(2)) - sqrt(13)))**2 + sqrt(52) + -2*sqrt(52) + 5.
-2*sqrt(13) + 5
Simplify (2*sqrt(102))/sqrt(6)*-1 + -5.
-2*sqrt(17) - 5
Simplify ((sqrt(128) + 2)*-1)**2.
32*sqrt(2) + 132
Simplify 3*(sqrt(65)/(sqrt(20)/(sqrt(4)*-2 - sqrt(4))))**2.
351
Simplify ((sqrt(24) - sqrt(288)/(sqrt(12)*2))/sqrt(12) + 2)**2.
2*sqrt(2) + 9/2
Simplify 0 + 5 + sqrt(180) + 1 + (-2*sqrt(180))**2.
6*sqrt(5) + 726
Simplify (sqrt(3) + sqrt(3) + 3*sqrt(9)/sqrt(3))**2 + -2.
73
Simplify -4 + (sqrt(7) - sqrt(14)/sqrt(2)) + -1.
-5
Simplify sqrt(832) + 1 - sqrt(832) - sqrt(13) - sqrt(52)/(sqrt(12)/sqrt(3)).
-2*sqrt(13) + 1
Simplify (2*sqrt(55)*-1)/(sqrt(500)*-2 + sqrt(500))*-5.
-sqrt(11)
Simplify (2 + sqrt(72) - sqrt(72)) + 2.
4
Simplify sqrt(13) + -1 + 1 - -4*sqrt(1053).
37*sqrt(13)
Simplify (sqrt(32)*-2 - (1 + sqrt(162))**2) + -3.
-166 - 26*sqrt(2)
Simplify sqrt(57)/(sqrt(3) - -2*sqrt(3)*-2).
-sqrt(19)/3
Simplify (-2 + sqrt(320))**2 + 3.
-32*sqrt(5) + 327
Simplify -1*(sqrt(7) - sqrt(21)/(sqrt(3) - -1*sqrt(3))).
-sqrt(7)/2
Simplify -1 + (-3 + (sqrt(80) - sqrt(80)*1) - sqrt(80))**2.
24*sqrt(5) + 88
Simplify sqrt(306)/sqrt(2) - (sqrt(2448)*-2 + sqrt(17)).
26*sqrt(17)
Simplify (sqrt(363) - (sqrt(363)*-2 - sqrt(363)) - sqrt(12)*6)**2.
3072
Simplify (sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66)*4 + sqrt(66))))*-1)/sqrt(6).
-2*sqrt(11)
Simplify sqrt(475) + 4 + -1 + sqrt(475).
3 + 10*sqrt(19)
Simplify ((sqrt(80) - (sqrt(80) + 0)) + 2)**2 + sqrt(80) + 3 + sqrt(80)*2.
7 + 12*sqrt(5)
Simplify (1*sqrt(15))/sqrt(5) + 6*-2*sqrt(3) + sqrt(3).
-10*sqrt(3)
Simplify 1 + (4 + sqrt(80) + -1 + -4)**2.
-8*sqrt(5) + 82
Simplify ((0 + sqrt(175))**2 - sqrt(56)/sqrt(288))*-3.
-525 + sqrt(7)/2
Simplify -3 + ((sqrt(170)*-2 - sqrt(170))*-3)/sqrt(10).
-3 + 9*sqrt(17)
Simplify (sqrt(36) - (sqrt(324) - -2*sqrt(324)))/((sqrt(12) - sqrt(12)*-2*-6) + sqrt(12)).
4*sqrt(3)/5
Simplify ((sqrt(5) - sqrt(10)/sqrt(2)) + -3)*-3.
9
Simplify -2*(2*sqrt(125))**2.
-1000
Simplify sqrt(1900) + sqrt(1900) + (sqrt(1900) - (sqrt(1900) - -4*-1*sqrt(1900))) + (-1*sqrt(1900) + 2)**2.
20*sqrt(19) + 1904
Simplify (sqrt(40)/(sqrt(12)/sqrt(6)))/((sqrt(120)*-3)/sqrt(12)).
-sqrt(2)/3
Simplify (-1*sqrt(1694))/sqrt(7).
-11*sqrt(2)
Simplify (sqrt(13)*2*-3 - (sqrt(1300) + 0)) + -5.
-16*sqrt(13) - 5
Simplify ((1*sqrt(363) - sqrt(363)) + 0)*-2.
0
Simplify (sqrt(176) - 1*sqrt(176))/(sqrt(48)/(sqrt(12) - (sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(108))) - sqrt(12)))).
0
Simplify -1*(2*sqrt(468))**2.
-1872
Simplify (sqrt(11) - ((sqrt(1100) + 1 + sqrt(1100))**2 + sqrt(11))) + 3.
-4398 - 40*sqrt(11)
Simplify 4*-6*(sqrt(2736)*1)**2.
-65664
Simplify sqrt(21)/(2*sqrt(175)).
sqrt(3)/10
Simplify (-2*sqrt(1920) + sqrt(30))/((sqrt(108)/sqrt(6))/sqrt(3)).
-15*sqrt(5)
Simplify (((sqrt(2)*5 + sqrt(2))*2 + sqrt(2))*5)**2.
8450
Simplify (sqrt(153) + 2)**2 + sqrt(17) + 1 + sqrt(425).
18*sqrt(17) + 158
Simplify (3 + sqrt(847) + sqrt(847))*-6.
-132*sqrt(7) - 18
Simplify (-1*sqrt(77))/sqrt(11) + sqrt(49)/sqrt(28).
-sqrt(7)/2
Simplify ((sqrt(17) - sqrt(68)*-5)*-2)**2.
8228
Simplify -4 + -2*sqrt(1100).
-20*sqrt(11) - 4
Simplify 2 + (sqrt(700) + -1 - sqrt(7)).
1 + 9*sqrt(7)
Simplify (4 + 1*sqrt(704) + sqrt(704) + 4)**2.
256*sqrt(11) + 2880
Simplify (-2*sqrt(1900) + -3 - sqrt(1900))**2.
180*sqrt(19) + 17109
Simplify (sqrt(704) - -1*sqrt(704))*-2*6.
-192*sqrt(11)
Simplify ((1 + sqrt(68))*-3)**2 - sqrt(68).
34*sqrt(17) + 621
Simplify sqrt(18) - (sqrt(18) + (sqrt(18) - (sqrt(180)*3)/sqrt(10) - sqrt(18))).
9*sqrt(2)
Simplify (4*(-1*sqrt(242))**2 - sqrt(242)) + (2*sqrt(288) - sqrt(288)) + -5.
sqrt(2) + 963
Simplify -1*sqrt(36)/(sqrt(432) + 1*sqrt(432)).
-sqrt(3)/12
Simplify (4*1*(-1 + 4*sqrt(5)))**2.
-128*sqrt(5) + 1296
Simplify (sqrt(112) + 2)**2 - (sqrt(378)/sqrt(6) + sqrt(63))/sqrt(9).
14*sqrt(7) + 116
Simplify (sqrt(125) - ((sqrt(125) - (2*sqrt(125) + sqrt(125))) + 1))**2 + sqrt(125).
-25*sqrt(5) + 1126
Simplify sqrt(500) + (sqrt(500) + 4 + sqrt(500) + sqrt(500) + 2 - sqrt(500))**2.
250*sqrt(5) + 2036
Simplify (sqrt(1008)*1)**2 + -2.
1006
Simplify (sqrt(6)/sqrt(2) + sqrt(3) + -4)*6.
-24 + 12*sqrt(3)
Simplify sqrt(21)/sqrt(3) + 4 + 1.
sqrt(7) + 5
Simplify (sqrt(1089)*-3)/(sqrt(432) + (sqrt(432) - sqrt(432)*1)).
-11*sqrt(3)/4
Simplify 1 + ((sqrt(312)*-2)/sqrt(8))/sqrt(3).
-2*sqrt(13) + 1
Simplify (1 + sqrt(9)/(sqrt(3) + sqrt(3) + sqrt(24)/(sqrt(24)/sqrt(3))))**2.
2*sqrt(3)/3 + 4/3
Simplify (sqrt(32)/sqrt(4) + 1 + (sqrt(2) - (sqrt(2) + -1)))**2.
8*sqrt(2) + 12
Simplify (-3*(sqrt(1700) + 1) - (0 + -2*sqrt(1700)))**2.
60*sqrt(17) + 1709
Simplify (sqrt(80)*5 + sqrt(15)/sqrt(3)*-2)**2.
1620
Simplify ((1*sqrt(1600) + sqrt(1600) - sqrt(1600)) + sqrt(16))/(1*sqrt(16)/sqrt(2)).
11*sqrt(2)
Simplify (-1 + (2*sqrt(19)*4 - sqrt(19)))**2 + 5.
-14*sqrt(19) + 937
Simplify -3*(-2 + sqrt(11))**2*6*-1.
-72*sqrt(11) + 270
Simplify ((1*sqrt(198))/sqrt(9))/(sqrt(33)/sqrt(3)*-1).
-sqrt(2)
Simplify -4*(sqrt(200)/sqrt(4))**2.
-200
Simplify ((sqrt(14) - sqrt(98)/(sqrt(7)*-2))/(sqrt(126)/sqrt(7) + sqrt(18)))**2.
7/16
Simplify 1*(-1 + -3 + sqrt(33)/sqrt(3))**2*3.
-24*sqrt(11) + 81
Simplify (-3*sqrt(108) + sqrt(27))/(sqrt(27)/(sqrt(3)*3) - sqrt(9)).
15*sqrt(3)/2
Simplify (-1 + sqrt(405))**2 + -5 - ((-3*sqrt(405)*-1)**2 + sqrt(405)).
-3244 - 27*sqrt(5)
Simplify (sqrt(10)/sqrt(180) - (-3*sqrt(12) + sqrt(12))/sqrt(6))**2.
169/18
Simplify -5 + (1 + sqrt(1872))**2.
24*sqrt(13) + 1868
Simplify -1 + ((-3 + sqrt(2299))**2 - sqrt(19)).
-67*sqrt(19) + 2307
Simplify ((sqrt(90) + sqrt(10))*-2 + sqrt(10))/(-1*sqrt(405) - sqrt(405)).
7*sqrt(2)/18
Simplify ((4*2*sqrt(88))/(sqrt(16)/sqrt(32)))**2.
11264
Simplify -5 + (4*sqrt(65) + sqrt(65) - sqrt(65))/sqrt(5).
-5 + 4*sqrt(13)
Simplify sqrt(3) + 0 + 4 + -2 + sqrt(6)/sqrt(2).
2 + 2*sqrt(3)
Simplify (sqrt(24)/(sqrt(8)*-2 + sqrt(8)) - sqrt(3))**2 + sqrt(6)/(sqrt(2) - ((sqrt(2) - (sqrt(12)/sqrt(6) - sqrt(2))) + sqrt(2))).
-sqrt(3) + 12
Simplify (-1*-2*sqrt(2))**2 + (-2 + sqrt(2))*-1 + 2.
-sqrt(2) + 12
Simplify ((sqrt(252) - (sqrt(252) + -1*sqrt(252))) + sqrt(252))/sqrt(9).
4*sqrt(7)
Simplify 6*(-2 + sqrt(63)/(sqrt(36)/sqrt(4)))**2.
-24*sqrt(7) + 66
Simplify ((sqrt(13)*-3)**2 + 1 + -5)*1.
113
Simplify -4 + (sqrt(300) + 0 + sqrt(300))**2.
1196
Simplify (sqrt(52) + sqrt(104)/(2*sqrt(2)) - sqrt(52)) + sqrt(52) + (1*sqrt(832))**2.
3*sqrt(13) + 832
Simplify 5 + sqrt(76) + 2.
7 + 2*sqrt(19)
Simplify ((sqrt(175) + 1 + -5 + sqrt(175))*3)**2.
-720*sqrt(7) + 6444
Simplify ((sqrt(51) - -3*sqrt(51)*1)/(sqrt(33)/(sqrt(11) - sqrt(176))))**2*6.
14688
Simplify (3*sqrt(8) + sqrt(288) + 2 + -4)**2.
-72*sqrt(2) + 652
Simplify (sqrt(19) + (sqrt(57)/sqrt(3) - sqrt(19)) + 1 + 0)**2.
2*sqrt(19) + 20
Simplify (sqrt(475) + -4 + -1 + 2)**2.
-30*sq | {
"pile_set_name": "DM Mathematics"
} |
lse
Suppose 5*a - 11*v - 3148 = -8*v, -5*a - v + 3144 = 0. Is a a prime number?
False
Suppose 33*w + 17 = 16*w. Let x be 2/(-3) - 76/(-6). Is ((-834)/x)/(w/2) prime?
True
Let o be (4 + (-15)/12)*4. Suppose -o*j = -2*j - 270. Suppose 3110 = -j*n + 35*n. Is n a composite number?
True
Is -7 + 5 + 9 - -73200 a prime number?
False
Let d = -22494 - -13194. Let y = d + 17587. Is y prime?
True
Let j = -12176 + -11030. Let q = 34673 + j. Is q a composite number?
False
Suppose -95 - 13 = -27*u. Suppose -u*x + 335676 = 8*x. Is x prime?
False
Suppose -3*b - 50728 = -2*t, 101464 = 4*t + 11*b - 13*b. Is t a composite number?
False
Let i be ((1 + 0)*-2)/(1/2). Let y = i + 9. Suppose 2*l = -y*l + 93443. Is l a composite number?
True
Let q(u) = 3652*u + 870. Is q(7) prime?
False
Suppose -2*r + 14 + 13 = -t, -2*t - 34 = r. Let p(q) = -99*q - 64. Is p(t) prime?
False
Let d = -58 - -63. Suppose d*h - 5901 + 801 = 0. Let c = h + -457. Is c a composite number?
False
Let v be 7/(-21)*6 - -24917. Let q = v - -13436. Is q a composite number?
False
Let v be 0*((-24)/(-228) + (-46)/76). Suppose -197*n + 195*n + 6854 = v. Is n composite?
True
Let s = -10810 + 50519. Is s a prime number?
True
Suppose -13*m - m = -2357734 - 1373980. Is m a prime number?
False
Suppose 20*y - 35*y = 64*y - 35968147. Is y a prime number?
False
Let z be (-5 - 1105850/70)/(4/(-14)). Suppose 1036*x - z = 1026*x. Is x a composite number?
False
Let y be -4*7/(42/(-15)). Suppose -y*p - 13508 = -14*p. Is p a prime number?
False
Let r be (-4 - (-66)/12)/((-21)/(-28700)). Let f = 6 + -4. Is 1*(3 - f) + r a composite number?
True
Let c be -5*(42/(-70) + 6/(-15)). Let u = 2610 + -838. Suppose -u = f - c*f. Is f a prime number?
True
Let p(o) = -o**2 - 6*o + 12. Let m be p(-8). Let q(d) = -1753*d - 14. Let x be q(m). Suppose 3*c - 2*y = 2*y + 4193, -5*c - 3*y + x = 0. Is c composite?
False
Let o(a) = 185*a + 93. Let t be o(12). Suppose -5*n = -4*m - 11583, -8*n + t = -7*n - 2*m. Is n prime?
False
Let l(p) = -2*p**3 - 2*p**2 + 9*p + 13. Let z be l(-2). Suppose -z*j - 3*j = -27678. Is j a composite number?
True
Suppose 0 = c + 4*g - 3*g + 4498, -4*c + 5*g - 17974 = 0. Let t = c + 6441. Is t prime?
False
Suppose 289 = -3*f + 301. Is f/3 + 63145/15 a composite number?
False
Suppose -2*m = -26 + 10, m = 4*i - 445628. Is i a composite number?
False
Let l = -334 - 722. Is (l/8)/3*(-538)/8 prime?
False
Let s be 0*(-2 + (-28)/(-12)). Suppose 42*f - 45*f - 12 = s. Is (f/(-28) - (-13)/7) + 344 composite?
True
Let z(w) = -2*w + 25. Suppose 3*y = 8*y - 50. Let d be z(y). Suppose d*u - u = 1676. Is u a prime number?
True
Suppose 30*s + 284 = -59*s + 18*s. Let x(y) = 28*y - 26. Let g(z) = -29*z + 26. Let j(u) = -5*g(u) - 6*x(u). Is j(s) a prime number?
False
Let b(k) = 3*k**2 - 10*k - 6. Let u be b(5). Let s = 19 - u. Suppose 4*g + 14*g - 29826 = s. Is g a composite number?
False
Let b = 91 - 82. Suppose 19 = -2*h + b. Let j(w) = 9*w**2 - w - 7. Is j(h) a composite number?
False
Let r be (-12)/2*(-2)/6. Let k(c) = -5750*c - 10. Let x be k(r). Is x/(-12) - ((-20)/5)/(-24) a prime number?
False
Suppose 3*n + 4*p = 11, 5*n - 2*p + 1 = p. Is 120/18*57 - n a prime number?
True
Let p(z) = 4*z**2 + 34*z - 73. Let l be p(2). Let g(f) = -4*f + 18 + 10*f + 23*f. Is g(l) composite?
False
Let n be (-90)/(-40)*(-16)/(-6). Suppose 0 = -n*d + 3*d. Suppose d = 4*j - 5064 - 3012. Is j composite?
True
Let a(j) = 17238*j**3 - 4*j**2 - j + 1. Is a(2) prime?
False
Suppose 40*s - 41*s + 51 = 0. Is (s + -53)/((-4)/11166) a prime number?
False
Is (-22 + (-16 - -24))/((-20)/3978670) prime?
False
Let m = -890 - -890. Suppose 4*f + 2 = -2, -5*f - 14 = -3*t. Suppose v + 2*o = 257, m*v + 791 = t*v + o. Is v a prime number?
False
Let v(b) = -b - 1. Let c(s) = -36*s + 31. Let a(t) = -5*c(t) - 10*v(t). Is a(14) a composite number?
True
Let v(g) = -g**3 + 4*g**2 + 14*g - 8. Let p be v(6). Let c be p/(-18) + (-107796)/(-54). Suppose -4*r - c = -8*r. Is r prime?
True
Let a(c) = -3*c + 17. Let r be a(5). Let v be (-2 + (2 - -1) - r)*2. Is (v + (-4)/2)*29349/(-36) a prime number?
False
Is 29895 - (-3 + 14/(-14)) a composite number?
True
Let s(o) be the first derivative of -o**2/2 - o + 19. Let q be s(-3). Suppose 0 = -3*j - 2*z + 4673, q*j - 4*z = -5*z + 3117. Is j composite?
True
Let m = -3484 + 8985. Is m prime?
True
Suppose -1649*i + 1640*i + 624285 = 0. Is i a composite number?
True
Suppose 2*s = 2*o + 4, 2*o - 18 = -o - 3*s. Suppose 8 = -o*g, -4*b - 2*g + 15056 = -3*g. Is b a prime number?
False
Is (38182/85)/((-6)/(-1695)) prime?
False
Let k be (-6 + 8 - 2)/(-1). Suppose 99*a - 93*a - 5214 = k. Is a composite?
True
Is 458932465/3090 + (-14)/(-12) prime?
False
Let x(i) = 984*i - 3. Let f(q) = -q**2 - 10*q - 12. Let o be f(-7). Let w be x(o). Let b = w - 4436. Is b prime?
False
Let f(i) = -864*i - 611. Is f(-7) composite?
False
Let b = 1006 + -645. Let k = b + -252. Is k prime?
True
Suppose 11*j = -0*j + 66. Let z(t) = 7*t + j*t + 7 + 35 - 2*t. Is z(13) prime?
False
Let z(u) = 20*u**2 + 108*u - 609. Is z(-76) composite?
False
Suppose -4*q - u = -59, 3*q - 76 + 8 = 4*u. Is (28570/(-4))/((-8)/q) composite?
True
Let a(u) = -6*u**3 + 15*u**2 + u - 3. Let s be a(-8). Suppose -5*n + h - 20132 = 0, n + 0*n = 2*h - s. Let i = -1530 - n. Is i a prime number?
False
Let l(o) = 349*o**2 - 13. Let m be l(-5). Let f = m + -4021. Is f prime?
True
Suppose -14*k + 0*k = -94136. Let u = 13845 - k. Is u a composite number?
False
Suppose -5*j - 9134 + 512 = -r, -5*j = r - 8632. Suppose 3*m = 3*a - 5187, -5*a + r = 8*m - 7*m. Is a prime?
False
Suppose -3*s = -4*z - 3133, 271*s + 3*z + 1051 = 272*s. Suppose 50 = 3*m + 2*m. Let i = m + s. Is i a composite number?
False
Let f(w) = 28605*w**2 + 24*w - 68. Is f(-7) a composite number?
False
Suppose -3*c - h - 12420 = 2*h, c + 4140 = 2*h. Let n = c - 1023. Is (5 - 4)/(1 + 5160/n) prime?
True
Suppose u = -3*j + 2*j + 7, 5*u + j - 15 = 0. Is (-7)/21*(u*-7818)/4 a composite number?
False
Suppose 497*r - 104836332 - 37260361 = -20807322. Is r a prime number?
True
Let x = -140380 - -237011. Is x composite?
True
Let f(l) = -238*l + 9. Let y(d) = -2*d + 2. Let i(k) = f(k) - 2*y(k). Let t = -9 - -3. Is i(t) a prime number?
True
Suppose -10 = -8*f + 9*f. Let n be f - -3127 - (-4)/(-1). Suppose 5*a + 5*m = a + 4166, -3*a + n = -2*m. Is a composite?
False
Suppose -604 + 5824 = -10*i. Let d = i - -3229. Is d prime?
True
Let t(p) = 133*p**2 + 16*p + 46. Suppose j = m - 11, 5*m = 2*j + 24 + 25. Is t(m) composite?
True
Let w(c) be the second derivative of 5*c**4 - c**3/3 - 23*c**2/2 - 14*c. Let t(b) be the first derivative of w(b). Is t(4) a prime number?
False
Let c(w) = 5*w**2 + 50*w + 113. Let z(p) = 2*p**2 + 17*p + 38. Let a(o) = 3*c(o) - 8*z(o). Let r be a(15). Is ((-2)/(-4)*-877)/((-10)/r) a prime number?
True
Let k(l) = l**3 + 920. Let n(r) = -1. Let x(a) = k(a) + 4*n(a). Let u be x(0). Let q = u + -393. Is q a prime number?
True
Suppose -8*u - 520 = -6*u. Is (-19797)/13*-1 - 40/u a prime number?
True
Let y(h) = 44*h**3 - 19*h**2 - 69*h + 241. Is y(8) a composite number?
False
Let h(x) = -1030*x - 1229. Is h(-79) prime?
True
Let v(j) be the third derivative of -58*j**6/3 + j**5/30 - j**4/24 - j**3/3 + 3*j**2 + 2. Is v(-1) composite?
True
Is (-12)/(1716/(-15045151)) + 4/26 a composite number?
False
Let m be ((-32)/(-10))/(10/4025). Let s = m + 41. Suppose 3*p = 3*g + s, 2*p - 1217 = -5*g - 303. Is p a composite number?
True
Suppose -4*a - 2*h - 307 = -h, -2*a = -4*h + 176. Suppose -13*k + 6*k = -1169. Let r = a + k. Is r a composite number?
False
Let v(l) = 7*l**3 + 3*l**2 - 15. Let o be (7 - (9 - 6)) + 5. Is v(o) prime?
False
Suppose -4*w - 3*y + 97259 = 0, w - y - 14232 = 10088. Is w a composite number?
False
Suppose 15*r = 186*r + 634739 - 52561454. Is r a prime number?
False
Let g = 4309 + -2883. Let z(q) = -2*q**3 - 9*q**2 - 8*q + 12. Let d be z(-9). Let k = g - d. Is k a prime number?
True
Suppose -5*r = 13*r - 1620. Is (-36)/r + 2 + 6057/5 prime?
True
Let u(h) = -8*h**3 + 1483 + 16*h - 3*h**2 - 1500 - 2*h**2. Is u(-8) prime?
True
Let n(r) = -23 + 22 + 7*r**2 + 4*r - 2*r**2. Let y be n(-2). Suppose -772 = -s - 5*o, -6*s + 2*o = -y*s + 3929. Is s a composite number?
False
Suppose -6*a + 5*r - 3 = -5*a, a + 2*r - 4 = 0. Is ((-32 | {
"pile_set_name": "DM Mathematics"
} |
32*y**3 + 26*y - 2 - 1.
32*y**3 - 1027*y**2 - 3
Collect the terms in -4 + 228 + 2*r + 1 - 236 - 7.
2*r - 18
Collect the terms in -3825*h**3 + 2*h**2 + 7692*h**3 - 4265*h**3 - 4*h**2.
-398*h**3 - 2*h**2
Collect the terms in -5 + 54*p**3 - p**2 - 23*p**3 + 0*p**2.
31*p**3 - p**2 - 5
Collect the terms in 424*i**2 + 87*i**2 - 1440*i**2 + 152*i**2 + 388*i**2.
-389*i**2
Collect the terms in -2 + 4 - 6 + 126718801542*v**2 + 4 - 126718801545*v**2.
-3*v**2
Collect the terms in -47 + 21 - 11189*s + 29.
-11189*s + 3
Collect the terms in u + 102361191983679 - u**2 - 102361191983679.
-u**2 + u
Collect the terms in -74*r**2 + 171*r**2 - 2 - 117*r**2 + 1 + 3.
-20*r**2 + 2
Collect the terms in -40*q**3 + 472*q + 53*q**3 - 756*q + 284*q.
13*q**3
Collect the terms in -802720*j - 215256*j + 131788*j - 532935*j.
-1419123*j
Collect the terms in -191516*m**2 - 42 + 42 - 2*m.
-191516*m**2 - 2*m
Collect the terms in -329770*o**2 - 324409*o**2 + 631383*o**2.
-22796*o**2
Collect the terms in -634*t**2 - 437*t**2 + 121*t**2 - 3094*t**2 - 978*t**2 + 200*t**2.
-4822*t**2
Collect the terms in 533*c + 486*c + 513*c - 2075*c + 542*c.
-c
Collect the terms in 2*m**3 + 101990*m**2 - 4*m**3 + 6*m**3 + 102030*m**2 + 102047*m**2 - 306067*m**2.
4*m**3
Collect the terms in -28635*m**3 + 16 + 4 + 8 - 28.
-28635*m**3
Collect the terms in 56*q**3 + 19613*q - 11*q**2 - 19613*q.
56*q**3 - 11*q**2
Collect the terms in 58*p**3 - 27*p**3 - 23*p**2 + 24*p**2 - p**2.
31*p**3
Collect the terms in -282 - 35*j + 100*j + 524 - 242.
65*j
Collect the terms in 51 - 83 - 52 - 9576*c - 231.
-9576*c - 315
Collect the terms in 43311*c**2 + 43309*c**2 - 7*c + 15*c - 86627*c**2 - 8*c.
-7*c**2
Collect the terms in -w**3 - 9*w**3 - 31558325*w + 31558349*w.
-10*w**3 + 24*w
Collect the terms in -72*n + 126*n - 44*n - 189*n - 98*n.
-277*n
Collect the terms in -563 + 9*v**3 + 33*v**2 + 285 + 278.
9*v**3 + 33*v**2
Collect the terms in -257*n - 265*n + 78*n**3 + 532*n - 10*n.
78*n**3
Collect the terms in -116404353 - 4*i + 116404353.
-4*i
Collect the terms in 48905*q**2 + 2 - 24531*q**2 - 24376*q**2.
-2*q**2 + 2
Collect the terms in 3417*d - 34*d**2 + 24*d**2 + 3447*d - 6864*d.
-10*d**2
Collect the terms in 73*o**2 + 259611362888 - 259611362888.
73*o**2
Collect the terms in -35*g**3 + 6590*g - 6590*g.
-35*g**3
Collect the terms in 81*v + 29*v + 605*v - 633 - 3*v.
712*v - 633
Collect the terms in -851*x**2 + 2206*x**2 + 3 - 501*x**2 - 3 - 848*x**2.
6*x**2
Collect the terms in 2037 + 8485*v**3 - 4090 + 2053.
8485*v**3
Collect the terms in -2*k**2 + 1621 - 15*k**2 - 41 + 5 + 4*k**2.
-13*k**2 + 1585
Collect the terms in 20 - 13 - 16 + 12 - 2507*i**2.
-2507*i**2 + 3
Collect the terms in -9 + 19 - 781*g - 419*g - 10.
-1200*g
Collect the terms in -525870*p**2 + 1049247*p**2 - 523369*p**2.
8*p**2
Collect the terms in -521*y**2 + 4 - 142016*y**2 - 1 - 3.
-142537*y**2
Collect the terms in 28*r - r - 302 - 58*r.
-31*r - 302
Collect the terms in -3927*d**2 - 4902*d**2 + 219402*d**2 + 141387*d**2.
351960*d**2
Collect the terms in -116*h + 306*h - 114*h + 69*h**3 + 3*h**2 - 2*h**2 - 76*h.
69*h**3 + h**2
Collect the terms in 1127*r**2 + 1128*r**2 + 10*r**3 - 2255*r**2 + 14*r**3 - 20*r**3.
4*r**3
Collect the terms in -796*v + 290 - 768*v - 326*v + 1502*v - 290.
-388*v
Collect the terms in -92491*c - 92474*c + 277451*c - 92477*c.
9*c
Collect the terms in 8*j**3 + 3 + 417674*j**2 + 417635*j**2 - 835309*j**2.
8*j**3 + 3
Collect the terms in 56*w - 439 - 350 + 791.
56*w + 2
Collect the terms in -53*d + 453778*d**2 + 49*d - 453768*d**2.
10*d**2 - 4*d
Collect the terms in 24*p**3 - 173*p**3 - 83*p**3 + p**2 - p**2.
-232*p**3
Collect the terms in -24*a**2 - 75116 + 75116 + 7*a**2.
-17*a**2
Collect the terms in -l**2 - 2*l**2 + 0*l**2 + 7*l**2 - 1088*l.
4*l**2 - 1088*l
Collect the terms in -30 - 59 - 50 + 139 - 157*q + q**2.
q**2 - 157*q
Collect the terms in -8*g**2 - 28 + 41 + 13*g**2 - 28 + 0*g**2 + 15.
5*g**2
Collect the terms in 55 - 421*f - 154 - 125.
-421*f - 224
Collect the terms in -329605*t - 329615*t + 988826*t - 329610*t.
-4*t
Collect the terms in -142038742*l**3 + 71019370*l**3 + 71019358*l**3.
-14*l**3
Collect the terms in -3733*k - 3738*k - 3734*k - 3746*k - 3727*k + 18681*k.
3*k
Collect the terms in 17577*a - 5744*a - 5919*a - 5920*a.
-6*a
Collect the terms in -132*r**2 + 277*r**2 + 15*r**2 - 169*r**2.
-9*r**2
Collect the terms in 1077652*p**3 + 2590718*p**3 - 144 + 144.
3668370*p**3
Collect the terms in 41*p**3 + 47*p**3 + 2325*p - 16*p**3 - 2325*p.
72*p**3
Collect the terms in -193983*o**3 + 0*o - 194126*o**3 + 0*o + 388096*o**3.
-13*o**3
Collect the terms in -11985*w**2 + 8227*w**2 - 775 + 775.
-3758*w**2
Collect the terms in 4*y + 72016*y**2 - 4*y - 1 + 71904*y**2 + 1 - 143918*y**2.
2*y**2
Collect the terms in -1181*a**3 + 585*a**3 + 592*a**3 + 2750 + 2762 - 5512.
-4*a**3
Collect the terms in -91 - 140 - 133 + 47 + 78 + 9*r.
9*r - 239
Collect the terms in 22693575 + 1459*f**3 - 22693575.
1459*f**3
Collect the terms in 3690*v**2 - 2655*v**2 - 1037*v**2.
-2*v**2
Collect the terms in -1855*i - 856*i - 649*i - 2964*i.
-6324*i
Collect the terms in -m + 2*m + 1334 + 5372 + 12*m**3 + 13*m**3.
25*m**3 + m + 6706
Collect the terms in -119819*j**2 + j + 60660*j**2 + 60415*j**2 + 3*j**3.
3*j**3 + 1256*j**2 + j
Collect the terms in 876*n + 24*n**3 + 62*n**3 - 90*n**3 - 876*n.
-4*n**3
Collect the terms in 1522*g + 87*g + 1381*g.
2990*g
Collect the terms in -512*o - 101 - 364*o - 28 - 158.
-876*o - 287
Collect the terms in -8 + 10 + 11037*n**3 - 11056*n**3.
-19*n**3 + 2
Collect the terms in 0*a**2 + 14*a**2 + 400 - 402 - 254*a.
14*a**2 - 254*a - 2
Collect the terms in 1994 - 185*u - 187*u + 554*u - 179*u.
3*u + 1994
Collect the terms in 414*d + 150*d**3 - 147*d**3 - 698*d.
3*d**3 - 284*d
Collect the terms in -2*k**2 - 713*k**2 - 443*k**2 + 125*k**2.
-1033*k**2
Collect the terms in 27*w**2 - 4*w + 1654 - 10*w**2 - 208 + 2*w.
17*w**2 - 2*w + 1446
Collect the terms in 289587073979095*f**2 - 289587073979089*f**2 + 2 - 2.
6*f**2
Collect the terms in 3491*f + f**2 + 648*f + 93 - 266*f.
f**2 + 3873*f + 93
Collect the terms in 16551009920*l - 16551009920*l - 4*l**2.
-4*l**2
Collect the terms in 1638*p + 1803*p - 1 - 728*p.
2713*p - 1
Collect the terms in -10 - 28 + p**2 - 10 - 5 + 36.
p**2 - 17
Collect the terms in 187 - 10956*c**3 + 5472*c**3 + 5483*c**3.
-c**3 + 187
Collect the terms in -441428 + 220128 + 28*b - 2*b**3 + 221300.
-2*b**3 + 28*b
Collect the terms in 2*y**2 + 126 - 335 + 125 + 0*y**2 + 115 - 31.
2*y**2
Collect the terms in -14612*u**2 - 14523*u**2 + 29170*u**2.
35*u**2
Collect the terms in 839020*j - 1053164*j + 1788042*j + 3200691*j.
4774589*j
Collect the terms in -3542 + 10619 + 26552*z - 3542 - 3535.
26552*z
Collect the terms in -7*a + 22*a - 16*a + 47*a - 22*a - 20*a + 4.
4*a + 4
Collect the terms in -10598580*b + 5299236*b + 5299294*b.
-50*b
Collect the terms in 5227*o + 6919*o + 352*o + 226*o.
12724*o
Collect the terms in -39*l**2 - 15*l**2 - 1715*l + l**3 + 7*l**2 - 57*l**2.
l**3 - 104*l**2 - 1715*l
Collect the terms in -237*d + d**2 + 144*d + 203*d + 261*d + 1.
d**2 + 371*d + 1
Collect the terms in -16 + 6 + 7 + 259709*d + 3.
259709*d
Collect the terms in -820*j + 171*j + j**2 + 204*j + 208*j + 174*j.
j**2 - 63*j
Collect the terms in 178863*y**3 - 89348*y**3 - 89508*y**3.
7*y**3
Collect the terms in 3795*p + 7463*p + 10761*p.
22019*p
Collect the terms in -410*o - 177 + 66 + 184*o + 222*o.
-4*o - 111
Collect the terms in 2938227 - 2938227 - 55*j.
-55*j
Collect the terms in -32168 - k - 32174 + 2*k + 2*k - 32177 + 96519.
3*k
Collect the terms in 289992*i**2 + 289999*i**2 - 579950*i**2.
41*i**2
Collect the terms in 1424 + 1140 - 3970 + 1406 + 163*x**2.
163*x**2
Collect the terms in -144*m**3 + 51765*m - 51763*m - 31*m**3.
-175*m**3 + 2*m
Collect the terms in -115*w**3 + 48*w**3 - 39*w**3 - 14*w**3.
-120*w**3
Collect the terms in -8 + 4183*w + 13*w**3 + 8 - 4183*w.
13*w**3
Collect the terms in 751023834*u**3 - 1502047583*u**3 + 751023748*u**3.
-u**3
Collect the terms in 1383*v - 5520*v - 3 + 1385*v + 1375*v + 1387*v.
10*v - 3
Collect the terms in 35 - 99761*k - 35 + 100311*k.
550*k
Collect the terms in -6539940*p**3 + 3269995*p**3 + 3270008*p**3.
63*p**3
Collect the terms in -30018*l + 150108*l - 30036*l - 30023*l | {
"pile_set_name": "DM Mathematics"
} |
Let b(l) = -1397*l**3 + 6*l**2 + 10*l - 28. Let x(g) = -931*g**3 + 4*g**2 + 7*g - 20. Determine -5*b(u) + 7*x(u).
468*u**3 - 2*u**2 - u
Let w(t) = -10*t - 550. Let j(i) = 7*i + 367. Determine -7*j(d) - 5*w(d).
d + 181
Let l(q) = 330*q - 75. Let b(o) = -33*o + 7. Give -21*b(g) - 2*l(g).
33*g + 3
Suppose -20 = -0*s + 5*s. Let g(b) = 11*b**3 + 9*b**2 + 9. Let p = 6 + 0. Let u(d) = -14 + 4*d**2 + 2*d**3 + 12 + 3*d**3 + p. Determine s*g(f) + 9*u(f).
f**3
Let q(j) = 12101140*j**3 - 12835*j**2 + 12835*j + 12835. Let z(b) = -3771*b**3 + 4*b**2 - 4*b - 4. What is 4*q(o) + 12835*z(o)?
3775*o**3
Let w(c) = 481*c**3 + 49*c**2 + 14*c + 2. Let d(q) = -241*q**3 - 22*q**2 - 6*q - 1. Calculate 9*d(l) + 4*w(l).
-245*l**3 - 2*l**2 + 2*l - 1
Let j(v) = 4*v**2 - 4*v + 3. Let z(l) = l**2 + l - 1. Let y(n) = j(n) + z(n). Let h(d) = 3*d**2 - 2*d + 1. Determine -7*h(g) + 4*y(g).
-g**2 + 2*g + 1
Let q(b) = 4*b**2 + 448*b + 5. Let j(k) = -3*k**2 - 447*k - 4. Determine -5*j(r) - 4*q(r).
-r**2 + 443*r
Let s(w) = -w + 7. Let g(x) = 2*x - 6. Let t be 52/(-16) - 9/10*(-305)/(-366). What is t*g(l) - 5*s(l)?
-3*l - 11
Let l(j) = 5*j**3 + 2*j**2 - j + 6. Let f(d) be the first derivative of -2/3*d**3 - 26 - 5*d + 1/2*d**2 - d**4. Determine 6*f(n) + 5*l(n).
n**3 - 2*n**2 + n
Let f(k) = -35*k**3 + 22*k**2 - 30*k - 20. Let d(j) = 16*j**3 - 12*j**2 + 14*j + 10. Determine 13*d(s) + 6*f(s).
-2*s**3 - 24*s**2 + 2*s + 10
Let q(x) = -53*x**2. Let c(p) be the second derivative of -6545*p**4/6 + 12*p + 143. Give -2*c(z) + 495*q(z).
-55*z**2
Let y(d) = 24*d**3 + 7*d**2 + 17*d + 14. Let n(r) = 24*r**3 + 6*r**2 + 15*r + 12. Determine -7*n(o) + 6*y(o).
-24*o**3 - 3*o
Let s(i) = -i + 4. Let k = 0 - 3. Let v(l) = 2*l - 9. Let g(b) = -5*b**2 + 41*b + 39. Let w be g(-1). Calculate k*v(u) + w*s(u).
u - 1
Suppose u = 2*c + 6, -u - 10 = -3*u + 3*c. Let y(n) = -9*n**2 + 7*n. Let r = -557 - -568. Let x(o) = -233 - r*o**2 + 233 + 10*o**2 + o. Give u*y(h) - 14*x(h).
-4*h**2
Suppose 0 = -132*k + 127*k - 15. Let r(v) = 6*v**3 - 7*v**2 - 3*v - 8. Let i = -707 - -699. Let z(l) = -2*l**3 + 2*l**2 + l + 3. Give i*z(x) + k*r(x).
-2*x**3 + 5*x**2 + x
Let a(b) = -3*b**2. Let i(d) = -d**3 - 5*d**2. Let y(p) = 19*p - p**3 - 30*p + 16*p - 3*p**2. Let h be y(2). What is h*a(x) + 6*i(x)?
-6*x**3
Let o(g) = 5 - 2*g + 2*g**3 - 9*g - 2 + 6. Suppose -19 + 47 = 4*l. Let q(f) = -l + 6*f - f**3 - 10 - 9 + 21. Determine -6*o(v) - 11*q(v).
-v**3 + 1
Let c(f) = 3*f**2 + 2*f + 2. Suppose 4*h = -w + 20, -w - h - 3 = -5. Let i(a) = 7*a**2 + 5*a + 5. Give w*i(r) + 10*c(r).
2*r**2
Let l(c) = 3*c**2 - 11*c + 3. Let w(a) be the first derivative of -a**3/3 + 5*a**2/2 - a - 98. Give -3*l(q) - 7*w(q).
-2*q**2 - 2*q - 2
Let q(t) = 19*t + 3. Let x be (-1838)/(-6) + 9 + (-2)/(-3). Let a = x + -309. Let p(s) = 6*s + 1. Give a*p(k) - 2*q(k).
4*k + 1
Let u(s) = -13*s + 96 - 340 + 123 + 115. Let m(v) = 6*v + 3. What is 7*m(y) + 3*u(y)?
3*y + 3
Let n(m) = 136*m - 3. Let h(l) = 23*l. Calculate 11*h(t) - n(t).
117*t + 3
Let i(c) = -102*c + 3. Let m(n) = -99*n + 4. Calculate -7*i(j) + 8*m(j).
-78*j + 11
Suppose 463 + 230 = -693*d. Let w(k) = 1. Let g(s) = 6*s - 2*s - 3*s - 1. What is d*g(n) - w(n)?
-n
Let o be (-2)/(-8 + 16 + -1 + (-23)/3). Let t(q) = -5*q**2 + 2*q + 5. Let p(k) = 10*k**2 - 4*k - 9. What is o*p(b) + 5*t(b)?
5*b**2 - 2*b - 2
Let f(y) = -3*y - 4. Let a(n) = 9*n + 11. Suppose -15*j + 20*j + 2*u - 18 = 0, -u = -j + 12. What is j*a(h) + 17*f(h)?
3*h - 2
Let w(a) = 150*a - 3. Let v(y) = 157*y - 4. What is -7*v(r) + 8*w(r)?
101*r + 4
Let f(h) = 2*h**3 + 65*h**2 + 32. Let q(u) = -2*u**3 - 64*u**2 - u - 47. Give -3*f(a) - 2*q(a).
-2*a**3 - 67*a**2 + 2*a - 2
Suppose -74*g - 70 = -69*g. Let j(m) = -21*m - 16. Let r(c) = -63*c - 49. Let q(s) = g*j(s) + 5*r(s). Let n(x) = -4*x - 4. What is 11*n(k) - 2*q(k)?
-2*k - 2
Let o(d) = 2*d**2 + 4*d - 1. Let l(q) = 1920*q**2 + 12*q - 8. What is -l(t) + 3*o(t)?
-1914*t**2 + 5
Let y(i) = -i. Let c(u) = -5*u + 2*u + 6*u. Suppose 0 = -r + 3*r - 24. Suppose 11*x + 23 - r = 0. What is x*c(m) - 4*y(m)?
m
Let f(o) = -3*o - 4. Let b(j) = -43*j**3 - 20*j - 22. What is -b(s) + 6*f(s)?
43*s**3 + 2*s - 2
Let i be (-1974)/14805 + ((-308)/30)/(-2). Let t(q) = -3*q**3 - 38*q**2 - 7. Let v(c) = -c**3 - 19*c**2 - 3. Give i*v(f) - 2*t(f).
f**3 - 19*f**2 - 1
Suppose 34*h - 40*h = -1368. Let f = -230 + h. Let j(c) = 3*c**2 + 5*c - 4. Let w(o) = -16*o**2 - 26*o + 21. What is f*w(t) - 11*j(t)?
-t**2 - 3*t + 2
Suppose -3*n = -3*l - 24, -3*l + 11*n = 14*n + 6. Let v(y) = -y**2 + 3*y - 3. Let a(r) = r**2 - 3*r + 3. What is l*a(q) - 4*v(q)?
-q**2 + 3*q - 3
Let w(r) = -6*r - 2. Let a(g) = 2*g - 30. Calculate a(h) - 2*w(h).
14*h - 26
Let x(j) = -j**3 - 125*j**2 + 6*j + 6. Let a(y) = y**3 + 188*y**2 - 8*y - 8. Determine -5*a(w) - 7*x(w).
2*w**3 - 65*w**2 - 2*w - 2
Let n(j) = 9*j. Let u(d) = 15*d + 38. Let q be u(-2). Let p(r) be the third derivative of 7/12*r**4 + 0 + 0*r**3 + 0*r + 5*r**2. Calculate q*n(k) - 5*p(k).
2*k
Let v(a) = 4*a + 12. Let p be ((-96)/(-4))/(-4) + 48/24. Let s(h) = -h - 4. What is p*v(j) - 11*s(j)?
-5*j - 4
Let x(d) = 129*d - 19. Let p(j) = 82*j - 9. Calculate -5*p(y) + 3*x(y).
-23*y - 12
Suppose 2049*a - 2060*a - 55 = 0. Let c(r) = 2*r**2 - 2*r + 4. Let g(q) = -4*q**2 + 5*q - 7. What is a*c(y) - 2*g(y)?
-2*y**2 - 6
Let g(s) = 12*s**2 - 8*s - 2931. Let a(l) = -5*l**2 + 3*l + 1465. Determine -7*a(u) - 3*g(u).
-u**2 + 3*u - 1462
Let n(i) = i**2 - 74*i - 365. Let v be n(-5). Let g(y) = -21*y**3. Let d(b) = -b**3. Give v*d(k) - 2*g(k).
12*k**3
Let n(w) = -17*w + 6. Let r = -14 - -9. Let z(q) = -11*q + 4. Suppose 0 = -c + 9 - 11 + 10. Give c*z(h) + r*n(h).
-3*h + 2
Let j(f) = -355*f**3 - 63*f**2 + 16. Let t(x) = 267*x**3 + 46*x**2 - 12. Calculate -8*j(s) - 11*t(s).
-97*s**3 - 2*s**2 + 4
Let r(c) be the second derivative of -c**4/2 + 103*c + 4. Let g(f) = f**2. Calculate -4*g(v) + r(v).
-10*v**2
Let d(q) = -91*q - 4726. Let w be d(-52). Let z(v) = 17*v. Let c(k) = -273*k. Determine w*c(b) + 98*z(b).
28*b
Let j(m) = 56*m**3 - 42*m**2 + 9*m + 44. Let o(b) = -29*b**3 + 20*b**2 - 4*b - 19. Give -4*j(x) - 9*o(x).
37*x**3 - 12*x**2 - 5
Let i(l) = l + 5. Let q(m) = -29*m - 1. Let b(z) = 15*z + 1. Let o(p) = 2*b(p) + q(p). What is -i(k) + 4*o(k)?
3*k - 1
Let w(x) = 7*x**2 - 17*x. Let k = -18737 + 18731. Let o(n) = n**2 + n. What is k*o(p) + w(p)?
p**2 - 23*p
Let f(a) = 2*a**2 - 4*a + 3. Let p(z) = -z**2 + 9*z - 7. Let s(o) = -5*o + 4. Let h(w) = -2*p(w) - 3*s(w). Determine 3*f(t) - 4*h(t).
-2*t**2 + 1
Let h(i) = 16*i + 26. Let z(p) = 3*p + 5. Let d = -155 - -159. Suppose -3*q = -5*n + 28, 5*q - 6*n = -d*n - 53. Calculate q*z(t) + 2*h(t).
-t - 3
Let f(q) = 82*q + 771. Let x(i) = 49*i + 385. Give -3*f(a) + 5*x(a).
-a - 388
Let o(a) = -4*a**2 - a + 10. Let d(n) = -n**2 - n + 3. Calculate 5*d(r) - o(r).
-r**2 - 4*r + 5
Let y(z) = -z**2 + 2*z - 1. Let s(a) = -a**2 + 6*a - 3. What is -s(q) + 2*y(q)?
-q**2 - 2*q + 1
Let v(a) = 61*a + 6. Let g(h) = 9*h + 1. Determine 3*g(c) - v(c).
-34*c - 3
Let x be (5/((-15)/(-24)))/(-2). Let t(w) = 9*w + 10. Let g(s) = 17*s + 23. Let i(b) = x*g(b) + 9*t(b). Let l(z) = -6*z + 1. What is -2*i(d) - 5*l(d)?
4*d - 1
Let t(y) = -99*y**3 + 4*y**2 + 34*y - 8. Let g(v) = -298*v**3 + 11*v**2 + 94*v - 23. Calculate -4*g(s) + 11*t(s).
103*s**3 - 2*s + 4
Let w(a) = -20*a + 0*a + 107 - 91. Let h = -36 - -21. Let s = -31 - h. Let q(f) = -f + 1. Calculate s*q(b) + w(b).
-4*b
Let t(m) = -4*m - 2. Let b(q) = -2*q + 2. Let d be -3*-2*5/30. Let g(o) = -7*o + 8. Let j(c) = d*g(c) - 4*b(c). Give 6*j(v) + t(v).
2*v - 2
Let a(x) = -4*x. Let q(v) = v. Suppose -2*t + 13*t - 99 = 0. Suppose 20 = -14*s + t*s. Let y(u) = u**2 + 5*u + 3. Let j be y(s). What is j*a(z) - 3*q(z)?
z
Let b(h) = 19*h**2 - 34*h - 61. Let z(n) = 4*n**2 - 7*n - 13. Let q(c) = -3*b(c) + 14*z(c). Let w(r) = -r**2 + 5*r + 2. Give -6*q(u) + 5*w(u).
u**2 + u + 4
Let b be (-32)/(-6) - (-14)/21. Let i(r) = -r - 6. Suppose 10 = -2*a + 4*l, 181*a - 5*l = 182*a + 5. Let p(h) = -h - 5. What is a*i(u) + b*p(u)?
-u
Let j(v) = 4692*v**2 - 7*v + 7. Let t(a) = 2339*a**2 - 4*a + 4. What is 4*j(z) - 7*t(z)?
2395*z**2
Suppose 0 = 5*o - q - 102, o - 46 = -o + 3*q. Let h(u) = 5*u - o*u + 2 + 7*u + 6*u. Let l(z) = 6*z - 2 + 3 - 7. Give 10*h(f) + 3*l(f).
-2*f + 2
Let | {
"pile_set_name": "DM Mathematics"
} |
.
-2*o*(o - 2)*(o + 1)*(2*o + 1)
Let q(g) be the first derivative of 3*g**4 + 0*g**2 - 3/10*g**5 + 79 - 7/2*g**3 + 0*g. Factor q(p).
-3*p**2*(p - 7)*(p - 1)/2
Let x = 24463 - 24460. Let q(u) be the first derivative of -15/2*u**4 + 10 - u**5 - 20*u**2 + 0*u - 20*u**x. Factor q(z).
-5*z*(z + 2)**3
Let q(c) = -2*c**3 + 277*c**2 - 8957*c - 29400. Let d(z) = -4*z**3 + 555*z**2 - 17913*z - 58800. Let w(y) = -3*d(y) + 7*q(y). Factor w(k).
-2*(k - 70)**2*(k + 3)
Let m(g) be the third derivative of -g**6/60 - 3*g**5/2 - 54*g**4 - 1008*g**3 + 555*g**2. Factor m(o).
-2*(o + 12)**2*(o + 21)
Let b(q) be the third derivative of q**5/210 - q**4/42 - 16*q**3/7 - q**2 + 10*q. Find r such that b(r) = 0.
-6, 8
Let n(h) be the second derivative of 36*h**2 - h - 10*h**3 - 1/2*h**4 + 3/4*h**5 - 12 - 1/10*h**6. Find o such that n(o) = 0.
-2, 2, 3
Let g(i) be the second derivative of i**7/63 - i**5/30 + 599*i. Find h such that g(h) = 0.
-1, 0, 1
Suppose -d = -5*y - 35, -5*d - 5*y - 10 = -5. Let u(q) be the third derivative of 0*q**3 - 1/130*q**d + 0*q + 21*q**2 + 0 - 1/780*q**6 + 1/39*q**4. Factor u(c).
-2*c*(c - 1)*(c + 4)/13
Let b(v) = -12*v - 106. Let s be b(-9). Suppose s*u - 15 = 4*i - 1, -5*i - 4 = 2*u. Solve -1/2*j + 1/2*j**2 + 1/6 - 1/6*j**u = 0.
1
Let v(m) be the second derivative of -56*m + 81/10*m**2 + 5/4*m**4 + 1 - 3/100*m**5 + 53/10*m**3. Factor v(s).
-3*(s - 27)*(s + 1)**2/5
Solve 96*k**2 + 1296/5*k - 3/5*k**5 - 24/5*k**3 - 36/5*k**4 + 192 = 0.
-10, -2, 4
Let i(h) be the first derivative of 8*h**5/5 - 499*h**4 - 1002*h**3 - 1505*h**2/2 - 251*h - 8663. Determine n, given that i(n) = 0.
-1/2, 251
Let m(l) be the second derivative of -3*l**5/20 - 28*l**4 - 1568*l**3 + 3*l + 73. Determine i so that m(i) = 0.
-56, 0
Let r(b) be the second derivative of b**6/360 - b**5/20 + 3*b**4/8 + b**3 - 3*b**2 + 2*b + 5. Let g(q) be the second derivative of r(q). Factor g(x).
(x - 3)**2
Let r(h) be the first derivative of -3*h**4/32 - 9*h**3/8 - 21*h**2/8 + 9*h + 1346. What is w in r(w) = 0?
-6, -4, 1
Suppose 9/7*w**3 + 3/7*w**4 - 24/7*w**2 - 36/7*w + 48/7 = 0. What is w?
-4, -2, 1, 2
Let u be (64/(-3))/(-8) - (-5)/15. Determine f, given that -228*f - 387*f**2 - 33 + 37*f**4 - 29*f**4 - 51*f**u - 12 + 27*f**5 + 91*f**4 + 9 = 0.
-3, -2, -1/3, 2
Let t be -998 - 6/(-27)*(-14 - -5). Let w be t/(-2275) + 4/42*-3. Solve -6/13*c**3 + 6/13*c**4 + w*c**2 + 0*c - 2/13*c**5 + 0 = 0 for c.
0, 1
Let k be (-2)/(-3) + (-2564)/9615. Factor 0 + 8/5*m - k*m**2.
-2*m*(m - 4)/5
Let z be 3 - (-3 - -3 - 85588). Let k be (z/11)/(2/2). Factor 24*f**2 + k*f - 7781*f - 3*f**3.
-3*f**2*(f - 8)
Let l(w) be the second derivative of w**5/70 - w**4/14 - 6*w**3/7 - 434*w + 3. Factor l(v).
2*v*(v - 6)*(v + 3)/7
Let p(n) = 8*n + 15. Let g be p(-3). Let u be (9/(-6))/((g/(-6))/(-3)). Suppose 11*i**3 - 2*i - i**4 + 1 - 9*i**u + 0 = 0. What is i?
-1, 1
Find c such that 1458*c - 328505*c**2 + 326567*c**2 - 3*c**4 + 5*c**4 + 478*c**3 = 0.
-243, 0, 1, 3
Let t be (-6)/14 + 168/49. Solve -3*q**2 + 5*q - 34*q**t - 3*q**2 + 39*q**3 + 16*q**2 = 0 for q.
-1, 0
Let k(p) be the first derivative of 2*p**3/33 - 58*p**2/11 - 496*p/11 - 5725. Factor k(a).
2*(a - 62)*(a + 4)/11
Factor -6 - 92*l - 1058/3*l**2.
-2*(23*l + 3)**2/3
Factor 221*u + 1468*u**4 - 11*u**2 - 249*u**2 - 1472*u**4 - 21*u + 64*u**3.
-4*u*(u - 10)*(u - 5)*(u - 1)
Let b = 1889/39 - -58654/273. Let a = b + -263. Factor -2/7*k**2 + 4/7*k - a.
-2*(k - 1)**2/7
Let n(g) be the second derivative of g**5/30 + 49*g**4/9 - 11*g**3 + 2*g - 1051. Factor n(z).
2*z*(z - 1)*(z + 99)/3
Factor -2/3*a**4 + 0 - a**3 - 4/3*a + 1/3*a**5 + 8/3*a**2.
a*(a - 2)*(a - 1)**2*(a + 2)/3
Let s be ((-11)/((-154)/(-7)))/((-1)/6) + -1. Factor -1/4*a**3 + 0*a**s + 0 + 9/4*a.
-a*(a - 3)*(a + 3)/4
Let l(v) be the second derivative of -v**7/14 - 121*v**6/6 + 611*v**5/60 + 337*v**4/12 + 101*v**3/9 + 5156*v. Find j such that l(j) = 0.
-202, -1/3, 0, 1
Let m(w) be the first derivative of w**3/12 - 164*w**2 + 107584*w - 765. Factor m(s).
(s - 656)**2/4
Let y(z) be the first derivative of 3*z**4/16 - 3*z**3 + 117*z**2/8 - 21*z - 1537. What is w in y(w) = 0?
1, 4, 7
Suppose 0 = y - 5*u - 5, -u - 1 = -2*y + 6*y. Let s(m) = m**2 - 38*m + 168. Let p be s(33). What is d in -8*d**2 + p*d**4 + 8*d**2 + y*d**2 = 0?
0
Let b(k) be the third derivative of 1/60*k**5 + 15 + 0*k**4 + 0*k - 1/420*k**7 - 1/12*k**3 + k**2 + 0*k**6. Factor b(c).
-(c - 1)**2*(c + 1)**2/2
Let t(m) = m**2 - 17*m - 26. Let g(z) = -80*z - 3 - 24 + 2*z**2 + 66*z. Let o(n) = 4*g(n) - 3*t(n). Determine s so that o(s) = 0.
-2, 3
Let p(v) be the first derivative of -v**6/3 + 2*v**5/5 + 219*v**4/2 + 1678*v**3/3 + 1030*v**2 + 816*v - 11408. What is b in p(b) = 0?
-12, -2, -1, 17
Let i = 6674 + -6669. Let y(c) be the third derivative of 0 + 5*c**2 + 0*c + 1/300*c**i + 0*c**3 + 1/60*c**4 - 1/600*c**6. Factor y(x).
-x*(x - 2)*(x + 1)/5
Let d = 162 + -159. Factor -11*u + d*u**2 + 8*u + u**2 - 9*u.
4*u*(u - 3)
Let h be 10/(-27)*(-11262)/9385. Let -2/9*a**2 - h - 2/3*a = 0. Calculate a.
-2, -1
Suppose 6*m - 116 = 94. Let l = m - 33. Factor -9*v + 23*v - 33*v**2 + 10*v**3 - 4 + 15*v**2 - l*v**4.
-2*(v - 2)*(v - 1)**3
Suppose -p + 7488 = 23*p. Let i = p - 309. Factor -4/5*o**i - 1/5 + 1/5*o**2 + 4/5*o.
-(o - 1)*(o + 1)*(4*o - 1)/5
Let j be (11*(-10)/(-1210) - (-1875)/66)/(5 - -1). Determine d, given that j*d - 1/4*d**2 + 0 = 0.
0, 19
Suppose 6*q + 392 = 34*q. Factor t + 13*t**2 + 4 + 2 - q*t**2.
-(t - 3)*(t + 2)
Suppose -30*q - 462 = -41*q. Suppose q*g + 92 = 88*g. Factor -15/8*u**3 + 0 + 3*u + 3/4*u**g + 3/8*u**4.
3*u*(u - 4)*(u - 2)*(u + 1)/8
Let v(h) be the second derivative of 5*h**4/24 + 1205*h**3/6 + 290405*h**2/4 + 24*h. Factor v(j).
5*(j + 241)**2/2
Let c(r) be the third derivative of r**5/240 - 5*r**4/24 + 3*r**3/2 - 3190*r**2. Solve c(w) = 0.
2, 18
Let f(x) be the first derivative of x**6/72 - 17*x**5/24 + 10*x**4/3 + 14*x**3/3 - 2*x - 214. Let q(s) be the third derivative of f(s). Factor q(v).
5*(v - 16)*(v - 1)
Suppose -5*w + 606 = -4*n, 2*n = 5*w - 2*w - 364. Factor -w*v - 2280*v - 24 + 469*v - 421362*v**2 - 3575*v - 10744731*v**3.
-3*(153*v + 2)**3
Let n be (((-2)/(-3))/2)/(-31 - 12352/(-384)). Find f, given that -10*f - 22/7*f**2 - n*f**3 - 50/7 = 0.
-5, -1
Factor -931*p - 930*p + 1916*p + 5*p**2 - 630.
5*(p - 7)*(p + 18)
Let u(d) be the third derivative of d**8/252 + 46*d**7/315 + 35*d**6/18 + 49*d**5/5 + 1560*d**2. Factor u(p).
4*p**2*(p + 7)**2*(p + 9)/3
Let a(s) = -5*s**5 - 4*s**4 + 5*s**3 + 10*s**2 + 6*s. Let n(u) = 86*u**5 - u - 3*u + 3*u - u**2 - 85*u**5 - u**3. Let t(f) = -a(f) - 6*n(f). Factor t(g).
-g**2*(g - 4)*(g - 1)*(g + 1)
Let j be 2 + 4/(-26) + 2044*27/7371. Factor -j + 26/3*l + 2/3*l**2.
2*(l - 1)*(l + 14)/3
Suppose 0 = 5*c + 5*m - 10, -83 + 73 = -4*c - 2*m. Suppose -4*f = 2*t - 16, -5*t = -0*t + 3*f - 12. Factor -2/3*v**2 + 2/3*v**c + t - 4/3*v.
2*v*(v - 2)*(v + 1)/3
Let h = 341 + -232. Find v such that -495 + h*v - 31*v + 74*v - 949 - 4*v**2 = 0.
19
Factor 680*p**2 + 748*p**2 + 13 + 63*p**4 - 46 - 210 + 918*p - 48*p**4 + 282*p**3.
3*(p + 1)*(p + 9)**2*(5*p - 1)
Determine w, given that -30/13*w**3 + 24/13*w**2 + 0 + 2/13*w**4 + 56/13*w = 0.
-1, 0, 2, 14
Find n, given that -36*n**3 - 606*n - 511*n**2 - 329 + 2*n**5 + 123*n**2 + 18*n**4 + 59 = 0.
-9, -3, -1, 5
Suppose -44*c + 87 = -45. Suppose 4*f + 10 = -2*q + 18, -4*q = c*f - 16. Solve 2/3*z**q + 5/3*z + 3*z**2 + 7/3*z**3 + 1/3 = 0.
-1, -1/2
Suppose 44*t - 30*t - 798 = 0. Factor -7 + 9*q + 3*q + 10 + t*q**3 - 45*q**3 + 18*q**2 + 3*q**4.
3*(q + 1)**4
Find t such that -10916*t**2 - 81296265956/3 - 4/3*t**3 - 29789764*t = 0.
-2729
Let b(x) be the first derivative of -x**6/51 - 56*x**5/85 + 62*x**4/17 - 256*x**3/51 + 7072. Solve b(l) = 0 for l.
-32, 0, 2
Let d(v) = 6*v + 0 - 4 - 1 + 15 - 10*v**2. Let y(c) = -10*c**2 + 6*c + 9. Suppose -25 = -2*w + 7*w. Let m(o) = w*d(o) + 6*y(o). Suppose m(i) = 0. Calculate i.
-2/5, 1
Let m(q) = 3*q**3 + 750*q**2 + 5808*q + 11508. Let p(a) = 3*a**3 + 749*a**2 + 5808*a + 11510. Let v(x) = 5*m(x) - 6*p(x). Factor v(l).
-3*(l + 4)**2*(l + 240)
Let g(a) be the second derivative of 1/3*a**3 + 1/5*a**6 - 5/6*a**4 + 2*a**2 - 57 + a - 1/10*a**5. What is d in g(d) = 0?
-1, -2/3, 1
Let a(s) be the second derivative of -7*s**4/36 - 24*s**3 + | {
"pile_set_name": "DM Mathematics"
} |
2 + 39*r + 93. Calculate the smallest common multiple of t(41) and 4002.
44022
Suppose -14 + 8 = -3*x. Let y be (-2)/(30/(-25))*(-3261)/x. Let o = -130507/48 - y. What is the common denominator of o and -15/2?
48
Let f = 85174733/18 - 4729225. Let p = f + -2703. Find the common denominator of p and 37/22.
198
Find the common denominator of (-85)/17 + (-1)/((-1292)/6414) and 5/1292.
1292
Let i be ((-4541)/(-2) + -4)/(3/5). Let x = 521171/138 - i. Calculate the common denominator of x and -77/18.
414
Calculate the lowest common multiple of (256/12)/((-14)/(-21)) and 50.
800
What is the lowest common multiple of 4/(-6) - (-58)/6 and (-1499894)/(-13904) - 2/(-16)?
108
What is the lowest common multiple of 49 and -14 + 13 - 1*-12?
539
What is the common denominator of 149/840 and -4 - 11/(308/(-120)) - (-30957)/17850?
4200
Let r = -4 + -4. Calculate the least common multiple of (1 - 0)/(r/10 + 1) and (-2)/(-36)*-3*-6.
5
Let m = 55/114041 - -12403241/529378322. Find the common denominator of m and -7/9.
41778
Let v = 1636 + -6549/4. Find the common denominator of 77/3684 and v.
3684
Suppose -2*o - 8 = 4. Let x(f) = -f**2 + 16*f + 108. Calculate the lowest common multiple of (1 + -7)*10/o and x(-5).
30
Let x = 289 + -305. Find the common denominator of 3*(0 + (-59)/(-48)) and 3 + 23 - (-12 - x).
16
Let g = -609 - -1185. Calculate the smallest common multiple of g and 384.
1152
Suppose 5*y = -4*w + 416 + 96, -w = 5*y - 128. What is the lowest common multiple of 14 and w?
896
Let a = -43 - -89. Let m(d) = -d**2 + 9*d - 13. Let u be m(5). Suppose -u*f + 3 = -a. What is the least common multiple of 1 and f?
7
Let u = -393049/18 + 21830. What is the common denominator of -61/96 and u?
288
Suppose -4*g = 3*h - h - 8, 3*h - 20 = -2*g. What is the lowest common multiple of (-11)/(-44) - (-590)/h and 6?
222
Let d = -2/40647 + 68267/10608867. Find the common denominator of -151/162 and d.
4698
Find the common denominator of (4/(-30)*1855/(-424))/(95/3) and 37/6650.
13300
Let m(z) = -110*z - 435. Calculate the smallest common multiple of m(-9) and 1110.
1110
Let x(j) = j**3 - 4*j**2 - 4*j - 4. Suppose 13*t - 91 = -26. Let k be x(t). Find the common denominator of 78/286*k*34/(-12) and 39/5.
110
Suppose -4048 = -3*f - 1024. Calculate the least common multiple of f and 2520.
5040
Let n(r) = r**3 - 6*r**2 + 8*r + 1. Let j be n(5). Let h be ((-2)/(-5))/(j/1840). Let k = -42 + h. What is the least common multiple of 8 and k?
8
Let v = -81481/24 - -3396. Let s(n) = -n**2 - 5*n. Let x be s(-6). Calculate the common denominator of v and (x/(-4))/((-36)/(-20)).
24
Let g(p) = -2*p**2 + 53*p - 160. What is the smallest common multiple of g(23) and 11?
11
Suppose 2*t + 3*j = j + 40, -3*t + 56 = 4*j. Let a = 598 - 184. Let c = a + -387. Calculate the least common multiple of t and c.
216
Suppose -b + 31 = 3*s, 3351*s - 3350*s - 5*b - 5 = 0. What is the least common multiple of 2/(-9) - 274/(-18) and s?
30
Let l be (-1)/(-2) - 13/(-2). Suppose l*p - v = 2*p - 46564, 4*p + 37252 = v. Let n = p - -148897/16. Calculate the common denominator of n and -15/8.
16
Let l = 82 - 79. Suppose 0 = l*u + 5*b - 95, 0 = -0*u - u - 2*b + 30. What is the least common multiple of 50 and u?
200
Let r = 18271/14460 - -3/964. Let p(d) = d**2 + 7*d + 13. Let q be p(-4). What is the common denominator of ((-86 + q)/5)/(-21) and r?
105
Let q be ((-84)/(-18))/((2 + -1)/(-12)). Let o = q + 6. Let i = o - -56. Calculate the smallest common multiple of 32 and i.
96
Let x = -21067911/3640 + 43053/1820. Let y = 5764 + x. Let l = 147/5 + -387/10. Find the common denominator of l and y.
280
Let k = 132 - 64. Let y = -83 + k. Calculate the lowest common multiple of 26 and (18/y)/(3/(-5)).
26
Let o(d) be the second derivative of d**4/12 - 5*d**2/2 - 36*d. Let x be o(3). Suppose 25 = x*i - 19. Calculate the least common multiple of 12 and i.
132
Let y = -724 + 512. Let q = y + 2113/10. Find the common denominator of q and 59/6.
30
Let d = 1355 - 1345. Suppose 2*h - f - 9 = 0, 4*h - 3*f = h + 15. Suppose -j = h*b - 41, 5*j - 8 = -3*b + d. What is the smallest common multiple of b and 6?
66
Calculate the common denominator of -3/158 and 1239/(-684)*((-1)/(-2))/((-315)/180).
9006
Calculate the smallest common multiple of 404/34 - (-298)/2533 and 772.
2316
Let j = 2356285777/1530 - 1540056. Calculate the common denominator of j and 53/5.
1530
Suppose 0 = -3*a + 3*l + 6, -3*l + 2 = -4*a + 13. Let m be 351/56 - (3 - a). Let s = m - 1/7. What is the common denominator of 39/4 and s?
8
Let p(o) = -41*o + 2072. Calculate the least common multiple of 22 and p(50).
22
Suppose -13*z = -12*z + 9. Let q(i) = i**3 + 10*i**2 + 7*i - 19. Let l be q(z). Find the common denominator of l - (1 - 265/30) and 37/16.
48
Let m be 4858/(-21)*18/12. Let s = m - -350. Calculate the smallest common multiple of 58 and s.
174
Let y = 1/960 + -5953/960. Find the common denominator of y and ((-9)/(-10))/(4272/(-8900)).
40
Suppose -n + x + 370 = 0, 3*n + 7*x - 1114 = 6*x. Let z = 9 - 6. Calculate the smallest common multiple of z and n.
1113
Find the common denominator of (1/36)/((-2)/428) and (10 + -8)/((-204)/82).
306
Let j = 472900972/891 - 530753. Calculate the common denominator of j and 89/2079.
6237
Suppose 534 = 41*p + 247. Let f(y) = 10*y + 1. Calculate the smallest common multiple of p and f(2).
21
Let p(h) = -5*h. Let i be p(-4). Suppose -i = -5*s + 20. Calculate the least common multiple of (-5 - (3 - 17)) + (-2)/(-1) and s.
88
Let z(n) = 2*n**3 - 15*n**2 - 29*n - 1. Let r be z(9). Let b = r + 33. Calculate the lowest common multiple of b and 38.
266
Find the common denominator of (-70)/28*((-123)/20 + 2) and -29/6114.
24456
Let d(m) = m**3 + 10*m**2 - 10*m + 6. Let l be d(-11). Suppose 12*j - 9*j - 36 = 0. What is the least common multiple of (2 - 48/30) + (-538)/l and j?
108
Let x(a) = -4*a**3 - 12*a**2 + 6*a - 4. Calculate the least common multiple of 3 + ((-219)/(-17) - 4/(-34)) and x(-4).
144
Find the common denominator of 2/336*(-4230)/60 and -15/364.
1456
Suppose 0 = 3*j - 33*j + 4*j. Suppose 5*n + k - 221 = j, 26 - 226 = -4*n + 5*k. What is the smallest common multiple of n and 40?
360
Suppose -8566 + 810 = y - 15*y. Suppose 3 = x - 1. What is the least common multiple of y and x?
1108
Let b = -314213 - -324267677/1032. Calculate the common denominator of -47/645 and b.
5160
Let k = -2832065/56 - -50571. What is the common denominator of k and -5/2016?
2016
Calculate the smallest common multiple of 72 and 525/(-875) + (-363)/(-5).
72
Let w = -461024445/44 - -10477262. Let k = -564 - w. What is the common denominator of k and -93/16?
176
Calculate the common denominator of ((-3)/(5 - -1) - -2)/(369/75) and -7/188.
7708
Suppose -38 = u - 92. Let x = -56 + u. Calculate the least common multiple of 24 + x/((0 + 2)/2) and 8.
88
Let t be 4 - (-4)/(16/20). Let y(g) = -2 - 2*g**2 + g + t*g**2 - 3*g**2. Calculate the lowest common multiple of 6 and y(1).
6
Let j(v) = 26*v**2 - 16*v + 2. Calculate the smallest common multiple of 4896 and j(1).
4896
Let h = 9005/4 - 2251. Calculate the common denominator of h and 49/506.
1012
Let b(m) = m**3 + 16*m**2 - 4*m - 60. Let o be b(-16). What is the common denominator of -24 and o - 7/((-14)/(-12))?
1
Let b = 482582 + -544352603/1128. Find the common denominator of b and -23/20.
5640
Let v = 161 - 167. Let z = -3 + 31/11. Calculate the common denominator of (v/(816/(-1196)) - 4) + -5 and z.
374
Let n(d) = d**2 + 9*d - 8. Let i be n(-11). Let x = -14 - -23. Calculate the lowest common multiple of 2172/90 - i/105 and x.
72
Let o = 13651 + -10531. Calculate the smallest common multiple of 42 and o.
21840
Let s = 179 + -184. Let b(j) = -169*j + 1. Let d be b(-1). What is the common denominator of -29/22 and (-531)/d - 4/s?
374
Let i(j) = j - 8. Let r be i(3). Let p(t) = -15*t - 25. Let x be p(r). Calculate the common denominator of (33/14)/(x/14 + -3) and -21/20.
40
Let a(l) = -14*l + 14. Let s be a(3). What is the least common multiple of 3 and 2 - ((-7)/(s/12) + -4)?
3
Suppose 4 = -z + 8. Suppose -34083 = -z*y + 13*y. Let b = 15237/4 + y. Find the common denominator of -83/16 and b.
16
Let d(p) = 10*p - 1. Let v be d(-2). Suppose 3*c = -18 + 36. Find the common denominator of 40 and ((-9) | {
"pile_set_name": "DM Mathematics"
} |
+ -6. Let c(b) = -11*b**2 + 4*b + 5*b**3 + 11*b**y. Give o*z(p) - 11*c(p).
p**3
Let b(x) = -511*x**2 - 5*x + 3. Let q(n) = 514*n**2 + 4*n - 2. What is 2*b(u) + 3*q(u)?
520*u**2 + 2*u
Let q(l) = 37*l**2 - 8*l - 3. Let m(w) = 74*w**2 - 20*w - 7. Give 4*m(i) - 10*q(i).
-74*i**2 + 2
Let u(r) = 4. Let c(w) = w + 1. Let g = 0 - -3. Suppose -3*x = -3*i + 9, x - g*x = 8. Let t(d) = i*c(d) - u(d). Let a(m) = m + 4. Give 4*a(l) + 3*t(l).
l + 1
Let j(l) be the first derivative of l**2/2 - 2*l + 259. Let t(g) be the second derivative of -g**3/3 + 2*g**2 - 3*g. What is -11*j(n) - 6*t(n)?
n - 2
Let f be 5/25 + (-222)/(-15). Suppose 0 = -f*u + 14*u - 40. Let y(k) = 65*k**2 + 40*k. Let n(o) = -5*o**2 - 3*o. What is u*n(a) - 3*y(a)?
5*a**2
Let y(z) = -2*z + 2. Let v(o) = -3*o + 2. Let d be (-12)/8*50/(-15). Calculate d*v(r) - 6*y(r).
-3*r - 2
Let v(j) = j**2 + 8*j - 10. Let i = -88 + 117. Let t(q) = 4*q**2 + 2*q - 1. Let w be t(-2). Let x = i - w. Let n(h) = -h + 1. Calculate x*n(p) + 2*v(p).
2*p**2 - 2*p - 2
Suppose -8*v = 1471 - 1367. Let b(j) = 8*j**2 - 7*j + 6. Let z(f) = -17*f**2 + 14*f - 13. Determine v*b(p) - 6*z(p).
-2*p**2 + 7*p
Let y(q) = 2*q + 4. Suppose -4*n - 12 = t, -5*t + 124*n - 122*n + 28 = 0. Let x(f) = -3*f - 5. Give t*y(u) + 3*x(u).
-u + 1
Let a = 542 - 538. Let d(x) = -x**2 - 1. Let r(v) = 24*v**2 + 27. Determine a*r(f) + 108*d(f).
-12*f**2
Let p(s) = -4*s**3 - 2*s**2 - 3*s + 107. Let d(t) = 7*t**3 + 3*t**2 + 5*t - 213. Determine 3*d(j) + 5*p(j).
j**3 - j**2 - 104
Let h(p) = p**3 - 4*p + 4. Suppose 10*r = 6*r + 12. Let z(i) = 3*i + i - i**3 + 0 + 0*i - i - 3. Determine r*h(u) + 4*z(u).
-u**3
Let v(j) = -j. Let y(d) = 4 - 2 - 7*d - d**2 - d. Suppose 0*o - 4*c = -o - 73, 201 = -3*o + 3*c. Let g = o + 71. What is g*v(u) - y(u)?
u**2 + 2*u - 2
Let x(g) = -15*g + 8. Let f(k) = -60*k + 30. Let y(p) = -4*f(p) + 15*x(p). Let c(a) = 7*a - 33 + 33. Determine -13*c(s) + 6*y(s).
-s
Let p(s) = 156*s + 11. Let i(n) = 156*n + 13. What is 5*i(z) - 6*p(z)?
-156*z - 1
Let v(f) = -5*f + 9. Let b(l) = 2*l + 2 + 0 - 3*l. Let x = -27 - -33. Suppose -x*k + 2*k - 4*w = -68, -2*k = w - 35. Determine k*b(i) - 4*v(i).
2*i
Let a(u) = -9*u**2 + 5*u - 112. Let p(f) = 2*f**2 - f - 3. What is -a(y) - 4*p(y)?
y**2 - y + 124
Let n(k) = 9*k - 16. Let d(b) = -11*b + 19. Let f(c) = 5*d(c) + 6*n(c). Let h(i) = -i**2 - 4*i - 10. Give -6*f(a) + h(a).
-a**2 + 2*a - 4
Let f(z) = -z**2 + 16*z + 2. Let b(h) = 15*h + 1. What is 6*b(t) - 4*f(t)?
4*t**2 + 26*t - 2
Let g = -34 - -95. Let a(d) = -g*d + 1 + 29*d + 31*d. Let r(v) = 9*v - 7. Give 6*a(i) + r(i).
3*i - 1
Let y(f) = -5*f**3 + 17*f**2 - 7*f + 52. Let a(r) = -2*r**3 + 8*r**2 - 4*r + 24. Give 13*a(w) - 6*y(w).
4*w**3 + 2*w**2 - 10*w
Let k(i) = i**2 - i + 1. Let u(a) be the second derivative of -a**3/2 + 3*a**2/2 + a - 99. Give -12*k(o) + 4*u(o).
-12*o**2
Let u(f) = -1060*f**2 + 2*f + 2. Let p(y) = 60421*y**2 - 115*y - 115. Calculate 2*p(v) + 115*u(v).
-1058*v**2
Let w(p) be the second derivative of p**4 + 5*p**3/6 + 3*p**2/2 - 3*p + 21. Let l(z) = -11*z**2 - 4*z - 2. What is -3*l(t) - 2*w(t)?
9*t**2 + 2*t
Let d(g) = 8*g**2 - 8*g + 2. Suppose 29*u = 35*u + 36. Let m(s) = -s - 1. Let i be m(u). Let f(r) = 7*r**2 - 7*r + 2. What is i*d(k) - 6*f(k)?
-2*k**2 + 2*k - 2
Let c(a) = 8*a + 1. Let t(x) = 4*x + 1. Suppose -20 = -4*u - 8. Determine u*c(j) - 5*t(j).
4*j - 2
Let j(g) = -20*g**3 - 12 + 21*g**3 + g + 11. Let t(s) = -2. Determine 3*j(h) - 2*t(h).
3*h**3 + 3*h + 1
Let u(z) = 3*z - 1. Let q be 2/(-13) + (1128/(-104) - -7). Let d(t) = -4*t + 2. What is q*d(f) - 6*u(f)?
-2*f - 2
Let w(l) = -25*l + 249. Let y(t) = -14*t + 126. What is 6*w(m) - 11*y(m)?
4*m + 108
Let p(a) = 2*a**2 - a - 6. Let t(k) = -k**2 + k + 5. Give 3*p(f) + 2*t(f).
4*f**2 - f - 8
Let i(g) = -3*g**2 - 9. Suppose 3*v + 9 = -6*v. Let m = v + 5. Let y(b) = -b**2 - 4. Calculate m*i(w) - 9*y(w).
-3*w**2
Let f(d) = 4*d**2 + d + 9. Let m(u) = -3*u**2 - 4*u - 14. Let s(z) = -4*z**2 - 3*z - 14. Let r(k) = 2*m(k) - 3*s(k). Calculate 8*f(h) - 5*r(h).
2*h**2 + 3*h + 2
Let o(t) = -t - 2. Let x(w) = 12*w - 5. Determine 3*o(p) + x(p).
9*p - 11
Let i(w) = 9*w - 379. Let d(f) = 3*f - 126. What is -11*d(r) + 4*i(r)?
3*r - 130
Let k(p) = -9*p**3 + 37*p**2 + 14*p + 17. Let h(f) = 3*f**3 - 12*f**2 - 5*f - 6. Give 17*h(w) + 6*k(w).
-3*w**3 + 18*w**2 - w
Let v(j) = 46*j**2 + 41*j - 31. Let n(k) = 16*k**2 + 14*k - 11. What is -17*n(d) + 6*v(d)?
4*d**2 + 8*d + 1
Suppose -36 = 2*c - 14*c. Let h(a) = -10*a**3 - 14*a**2 + 40. Let x(s) = 2*s**3 + 3*s**2 - 8. Give c*h(r) + 14*x(r).
-2*r**3 + 8
Let r(v) = -7*v**3 + 5*v**2 - 3. Let i be (3/5)/((-106)/(-530)). Let z(n) = -34*n**3 + 24*n**2 - 14. What is i*z(c) - 14*r(c)?
-4*c**3 + 2*c**2
Suppose q = 3*q - q. Let r(h) = 5*h**2 - 4*h**2 + 7 + q*h**2 - 2*h. Let z(k) = -k + 3. Give -3*r(u) + 7*z(u).
-3*u**2 - u
Let i(o) = -13*o**2 - 13*o + 21. Let t(j) = -4*j**2 - 4*j + 7. Give -2*i(g) + 7*t(g).
-2*g**2 - 2*g + 7
Let t(n) = 2*n**2 + n + 8. Let q(z) = -z**2 - z - 6. Let u(w) = 7*q(w) + 5*t(w). Let y(f) = -16*f**2 + 11*f + 11. Give 11*u(s) + 2*y(s).
s**2
Let t(w) = -2*w**3 - 2*w**2 - 2. Let z(o) = -4*o**3 - 5*o**2 - 5. Suppose -101*j + 129 = -73. Give j*z(i) - 5*t(i).
2*i**3
Suppose 0 = 4*n - z + 3, 5*n - 2*z = -1 - 2. Let j(d) = 3*d - 2. Let i(m) = 1. Calculate n*j(l) - 5*i(l).
-3*l - 3
Let o = 13 - 20. Let n(h) = 5*h - 4. Let p(m) be the second derivative of 11*m**3/6 - 9*m**2/2 + m. Let u = 115 - 112. What is o*n(i) + u*p(i)?
-2*i + 1
Let a(n) = n - 1. Let c(r) = 3*r - 6. What is 3*a(h) + c(h)?
6*h - 9
Let q(o) = 8*o**2 - 6*o + 2. Let x(w) = -23*w**2 + 17*w - 6. What is 8*q(c) + 3*x(c)?
-5*c**2 + 3*c - 2
Suppose 0 = u + 4*f - 22, 44 = 2*u + u + f. Let c(p) = 4*p**3 + 7*p**2. Let h(z) = -z**3 - 2*z**2. Determine u*h(n) + 4*c(n).
2*n**3
Let y(j) = -5*j**3 - 6*j**2 + 6*j - 7. Let w be (-254)/7 - (4/7)/(-2). Let z = w + 37. Let r(g) = -g**3 - g**2 + g - 1. Determine z*y(u) - 6*r(u).
u**3 - 1
Let l(a) = 23*a + 12. Let x(m) = 10*m + 5. Let r(o) = 3*l(o) - 7*x(o). Let t(u) = 3*u + 4. Determine -5*r(k) - t(k).
2*k - 9
Let f(w) = -w**2 + 2. Let i(p) = 57*p**2 - 11. Calculate -2*f(n) - i(n).
-55*n**2 + 7
Let v(m) = m + 267. Let y(c) = 3*c + 801. Calculate 8*v(a) - 3*y(a).
-a - 267
Let v(g) = 16*g + 3. Let r(h) = 17*h + 5. What is 4*r(z) - 3*v(z)?
20*z + 11
Let a(k) = 3 - 107*k + 48*k + 64*k. Let h(x) = 6*x + 3. Determine 3*a(m) - 2*h(m).
3*m + 3
Let b(m) = 2*m**2 - m - 5 - 3*m**2 - m - 5*m**2. Let v(c) = -7*c**2 - 3*c - 6. What is -5*b(f) + 4*v(f)?
2*f**2 - 2*f + 1
Let g(w) = -17*w + 99. Let d(o) = 3*o + 2. Give 6*d(i) + g(i).
i + 111
Let y = -1445 + 1449. Let j(g) = -g + 16. Let r(q) = -q + 16. Calculate y*j(a) - 5*r(a).
a - 16
Let q(m) = -5*m + 9. Let l(b) = -18*b + 48. Let c(r) = 9*r - 25. Let d(i) = -7*c(i) - 4*l(i). What is 4*d(f) + 7*q(f)?
f - 5
Let j(z) = -z - 2. Let d(c) = -c - 3. Suppose 2*t + 10 = 20. Give t*j(x) - 3*d(x).
-2*x - 1
Let b(j) = -j**2 - 1. Let s(q) = -4*q**2 - 2. Suppose 4*a - 3*t = -24 - 181, a - t = -51. Let f = 53 + a. Determine f*s(v) - 2*b(v).
-2*v**2
Let x(f) = 6*f - 6. Suppose -18*h = -h - 85. Let j(a) = 2*a - 2. What is h*x(l) - 16*j(l)?
-2*l + 2
Let v(u) = 4*u + 5. Suppose -6*y = 12*y + 54. Let o(z) be the third derivative of 5*z**4/24 + z**3 - 2*z**2. Determine y*o(t) + 4*v(t).
t + 2
Let w(t) = 6*t + 5*t**2 - 28*t + 22*t - 15. Let q(c) = 14*c**2 - 44. What is 3*q(l) - 8*w(l)?
2*l**2 - 12
Let a(i) = 691*i**3 + 11*i**2 - 11*i + 4. Let l(k) = 345*k**3 + 6*k**2 - 6*k + 2. What is -6*a(v) + 11*l(v)?
-351*v**3 - 2
Let b(y) = 2*y. Let r(f) = -61*f + 3. Determine -4*b(j) - r(j).
53*j - 3
Let n(v) = -2*v**3 + v + 6. Let c(t) = 7*t**3 - 5*t - 14. Let p(l) = -13*l**3 + 9*l + 27. Let z(r) = 5*c(r) + 3*p(r). What is -11*n(x) + 6*z(x)?
-2*x**3 + x
Let u(o) = -12*o**3 + 11*o**2 - 2*o + 11. Let i(m) = m**3 - m**2 - 1. Suppose 266 = -30*d + 206. Determine d*u(v) - 22*i(v).
2*v**3 + 4*v
Let y = 134 - 137. Let n(h) = 5*h + 4. Let l(o) be the second derivative of 0 + o**3 + 5/2*o**2 + 2*o. Give y*l(x) + 4*n(x).
2*x + 1
Let z(c) = 2*c - 7. Let f(d) = -d + 10. Calculate 3*f(r) + 4*z(r).
5*r + 2
Let m(k) be the second derivative of -k**4/4 - k**3/3 - 38*k. Let h(i) = 1 + 2*i + 4*i**2 - 1 + 1. Let c = -5 + 3. Determine c*h(g) - 3*m(g).
g**2 + 2*g | {
"pile_set_name": "DM Mathematics"
} |
et w = -9 + 12. Suppose 0*m + 31 = 5*m - w*z, -3*z = 5*m - 49. List the prime factors of m.
2
Suppose -11 = 2*s - 15. List the prime factors of ((-2)/s)/((-5)/15).
3
List the prime factors of 97 + 2/4*2.
2, 7
Suppose -361 - 79 = -5*v. Suppose -4 + v = 3*m. List the prime factors of m.
2, 7
Let y(s) = 7*s - 7. List the prime factors of y(4).
3, 7
Let j be (-37)/(-7) - (-2)/(-7). Suppose -2*l = -6 + 2, 105 = j*c - 5*l. List the prime factors of c.
23
List the prime factors of 1/4*3712/(-48)*-6.
2, 29
Suppose z + 1 = 5. What are the prime factors of 6/z*(-78)/(-9)?
13
Let t(u) = u**2 - 4*u + 4. Let l be t(4). Let j = 9 - l. Suppose o + j = 15. List the prime factors of o.
2, 5
Suppose 2*c = 5*p - 11 + 68, -3*c + 43 = p. Let z = c + -2. List the prime factors of z.
2, 7
Let c be -5 - (0 + 0 + -2). Let d = c + 1. Let l(h) = h**2 - 2*h - 3. List the prime factors of l(d).
5
List the prime factors of (109 + (-4 - -5))/2.
5, 11
Let i(b) = -17*b - 6. List the prime factors of i(-1).
11
List the prime factors of 59 + (-10)/30*3*1.
2, 29
Let g(i) = -28*i - 36. List the prime factors of g(-5).
2, 13
Let h = 8 + -5. Let k = h - -1. List the prime factors of k.
2
Let d = 238 - -48. List the prime factors of d.
2, 11, 13
Let b be 21*-1*3/9. List the prime factors of (-3 + 2)*(b + 4).
3
Let s(d) = 2*d**3 - 5*d - 5. List the prime factors of s(4).
103
Suppose -v - n = 6, -34 - 24 = 5*v - 2*n. List the prime factors of (-320)/(-25) - 2/v.
13
Suppose 2*q - 106 - 118 = 0. List the prime factors of q.
2, 7
Let b be 6/(-4)*988/39. What are the prime factors of 3 + -1 - (b - -12)?
2, 7
Suppose -4*i + y + 32 = 0, 5*y = 3*i - 5 - 36. What are the prime factors of i?
7
Suppose -5*t + t = 0. Suppose -2*c = 2*d, c - 6*c + d + 12 = t. List the prime factors of c.
2
Let x(u) = -u**3 + 6*u**2 - 4*u - 2. Let s be x(5). Let j = -5 - -8. Suppose d = -j*p + 62, -4*d = s*p - 0*d - 77. List the prime factors of p.
19
Let a be (0/(-2))/((-4)/2). Suppose 2*z - 5*g - 35 = a, 3*g = -z + 2*g. List the prime factors of z.
5
Let w be (-6)/21 - 12/7. Let g = 2 - w. Suppose 5*z = 5*r - 35, -5*z + 5 - 4 = g*r. List the prime factors of r.
2
What are the prime factors of 2 + -7 + 3 - -33?
31
Let v = -23 + 25. Suppose -v = 4*b - 2*g - 0, -b = -5*g + 23. List the prime factors of b.
2
Suppose 3*r = 2*r. Suppose u + u - 20 = r. Let i = u - 5. List the prime factors of i.
5
Suppose c = 3*v - 170, 5*v - 3*c + 13 = 291. List the prime factors of v.
2, 29
Suppose -67 = 3*f - 1. Let l = -13 - f. List the prime factors of l.
3
Suppose -4*c = q + 46, 2*q - 4*c - 98 = 5*q. Let b = -17 - q. What are the prime factors of b?
3
Let y be (-10)/15 + (-2)/(-3). Suppose o + 3*l + 2 = 0, 0*l + 4*l + 4 = y. List the prime factors of ((-15)/(-9))/(o/3).
5
Suppose 0 = -p - 0 + 3. Suppose -4*c = -5*r - 30, -p*c + 3*r + 25 = -2*r. Suppose 5*s + 10 = c*x, 5*x - 4*s = 25 - 10. List the prime factors of x.
7
Suppose 15 + 10 = 5*y - 4*n, -5*y - n + 25 = 0. Suppose 125 = 5*f + y*g, 0 = -0*f - 5*f - 2*g + 134. Suppose -3*h - h + f = 0. What are the prime factors of h?
7
Let d(p) = 8*p**2 - 2. Let c be d(2). Suppose i + 4*u = c, 47 = 2*i + 5*u - 4. List the prime factors of i.
2, 3
Let a be -3 + -11 + (-1)/1. Let z = a - -19. What are the prime factors of z?
2
Let j(p) = 3*p - 1. Let r be j(2). Let u(t) = t**3 - 5*t**2 + t + 2. Let y be u(r). Let m(h) = h - 4. List the prime factors of m(y).
3
Suppose -38 = -5*p + 17. List the prime factors of p.
11
Suppose 4*i - 12 = 0, 5*f - i - 2*i - 46 = 0. What are the prime factors of f?
11
Suppose 0*l - 2*l = 3*k - 10, -4*k + 6 = -l. List the prime factors of 16 + k/5*5.
2, 3
Suppose 0 = 3*z - z - 28. Let w = 29 - z. List the prime factors of w.
3, 5
Let x(z) be the second derivative of -z**4/12 - 7*z**3/3 - 3*z**2/2 - 3*z. Let i(j) be the first derivative of x(j). List the prime factors of i(-11).
2
Let j = -4 + 6. Suppose 51 = m + j*m. What are the prime factors of m?
17
Suppose -a - 2*m = -3, 4*a - 33 = -0*a - m. Let z(v) = -v**2 + 14*v + 8. List the prime factors of z(a).
53
Let c = 3 + 0. Suppose 0 = c*p - 2*u - 42, -4*p + 5*p = -u + 19. List the prime factors of p.
2
Let g be ((-1)/(-3))/(5/210). Let x = 6 + g. What are the prime factors of x?
2, 5
Let b(c) = 2*c**3 - c**2 + 2*c. Let u be b(3). Let x = u + -27. What are the prime factors of x?
2, 3
Suppose -h = -4*l - 6*h + 259, -329 = -5*l - h. What are the prime factors of l?
2, 3, 11
Let w be (-8 - -83)/(6/10). Suppose 2*v + 28 = j - 0*v, 0 = 5*j - 5*v - w. What are the prime factors of j?
2, 11
Let u = 5 + 2. Let k = u + -5. Suppose 2*z = -v + 7, -17 = k*z - 3*z + 4*v. List the prime factors of z.
5
Let w = -359 + 637. What are the prime factors of w?
2, 139
Let a(s) = -1 + 2 + 2*s + 5 - 3. List the prime factors of a(4).
11
Let w(y) = -y**2 + y + 8. Let c be w(7). Let t(n) = 9*n + 2. Let g be t(5). Let b = g + c. What are the prime factors of b?
13
Let n(r) = 4*r**2 + 3*r + 4. What are the prime factors of n(6)?
2, 83
Suppose -i - 3*i + 124 = 0. Suppose -5*f - y + i = -73, -5*y - 40 = -3*f. Suppose -f = -4*w - 4*o, 0 = -w + 4*w - 2*o. What are the prime factors of w?
2
Suppose 146 = 3*s - 2*y, 0 = 2*s - 6*y + 3*y - 104. What are the prime factors of s?
2, 23
Let u be ((-30)/1)/((-14)/21). Let l = -27 + u. List the prime factors of l.
2, 3
What are the prime factors of 3/(-9)*1 - (-1372)/12?
2, 3, 19
Suppose -3*t - 22 = -p + t, -3*p - 4*t - 14 = 0. List the prime factors of 7 - p - (-2 + 2).
5
Let v(p) = p**2 + 6*p + 7. Let s be v(-7). Let h = 2 + s. Suppose -h = -3*i + i. List the prime factors of i.
2
Let a(g) = 42*g - 19. What are the prime factors of a(6)?
233
Let w be 2/7 - (-96)/56. Suppose -6*d - 3*a = -5*d - 20, w*d - a = 26. List the prime factors of d.
2, 7
Suppose -63 - 73 = -2*r. List the prime factors of r.
2, 17
Suppose s - 85 = -2*d + 192, 0 = -3*s + 3. What are the prime factors of d?
2, 3, 23
Let b = 14 - 9. Suppose b*i - 20 = -0*i. Suppose -j + i = -0*j. What are the prime factors of j?
2
Suppose 5*g - 24 - 8 = 4*k, -4*k = 2*g + 4. Suppose 32 = g*h - 4*f, 0*f = -4*h + f + 47. What are the prime factors of h?
13
Suppose 4*v - 2*s - 20 = 0, -2*v = -v + 5*s + 17. Suppose -4*b = v*j - 106, 6*b - 5*b + 2*j - 29 = 0. What are the prime factors of b?
5
What are the prime factors of (60/45)/(0 + 2/147)?
2, 7
Suppose 4*h + 47 = l, 0*l + 5*l + 29 = -2*h. Let d be 17*(-3 - 0 - -2). Let c = h - d. List the prime factors of c.
5
What are the prime factors of 1*(-78)/(1 + -3)?
3, 13
Suppose -3*i - 97 = -5*q, -2*q - 4*i = q - 35. List the prime factors of q.
17
List the prime factors of 88/(-6)*336/(-64).
7, 11
Suppose 2*r = 3*b - 88, 0*r = -4*b + 3*r + 118. Suppose -m = -2*m + b. What are the prime factors of m?
2, 7
Suppose 2*d = -7 + 21. What are the prime factors of 4/4 + d + 1?
3
Let f = -3 - -6. Let y be f/6*-1*-6. Let n = y - -9. What are the prime factors of n?
2, 3
List the prime factors of (-1318)/(-5) - (-54)/(-90).
263
Let v(c) = -c**2 + 5*c - 1. Let d be v(3). Suppose d*t - 3*t - 70 = 0. What are the prime factors of t?
5, 7
List the prime factors of 66 - 11 - 2*2.
3, 17
Suppose 3*v - 16 = -4*w + 3*w, 3*w = -5*v + 28. What are the prime factors of (2 - w)*6/3?
2
Suppose 18 = 5*i - 12. Let f = -4 + i. Suppose -f*h - 8 = -24. List the prime factors of h.
2
Let u(b) = b**2 + 9*b + 21. What are the prime factors of u(8)?
157
Suppose 0 = -3*r - 4*a + 21, -2*r - 14 = -4*r + 5*a. Let h = -3 + 8. Suppose -4*l + r + 21 = 2*p, -3*p - 13 = -h*l. What are the prime factors of l?
5
Suppose -2*v - 3 = -11. Suppose 104 = 4*a - v*p, -4*a + 2*p - p = -107. What are the prime factors of a?
3
Let y be -1*1*0/(-9). Let n = 12 - 6. Let v = n - y. List the prime factors of v.
2, 3
Let g(b) = b**3 + 5*b**2 + 2. Let h be g(-5). Suppose 109 = 3*d - 4*v, 5*v + 110 = d + 2*d. Suppose -h*r - d = -7*r. What are the prime factors of r?
7
Let x be 4/(-12) - 14/(-6). Suppose -14 = -x*v + 60. List the prime factors of v.
37
Let m(w) be the second derivative of -w**3/2 - w**2/2 - 2*w. Let o be m(-7). Suppose -2*g + 2*v = -6 - o, 0 = 3*g - 4*v - 44. What are the prime factors of g?
2
What are the prime factors of (-316)/(-6) - 18/(-54)?
53
Let s = 56 + -13. List the prime factors of s.
43
Suppose -2*h - u + 23 = -37, 2*h - 5*u = 48. Su | {
"pile_set_name": "DM Mathematics"
} |
hat is prob of picking 1 j and 1 h?
3/55
Three letters picked without replacement from ooomboqs. What is prob of picking 1 o and 2 m?
0
Calculate prob of picking 3 e when three letters picked without replacement from {o: 9, e: 3}.
1/220
What is prob of picking 1 p, 1 c, 1 b, and 1 o when four letters picked without replacement from ebbmompooomcbbbb?
6/455
Four letters picked without replacement from {j: 7, q: 4}. What is prob of picking 4 q?
1/330
Two letters picked without replacement from {r: 1, v: 4, u: 2, h: 3}. What is prob of picking 1 r and 1 u?
2/45
Two letters picked without replacement from {a: 1, w: 2, n: 4}. What is prob of picking 2 w?
1/21
Calculate prob of picking 2 y and 1 i when three letters picked without replacement from {n: 2, i: 1, y: 3, c: 1, t: 10, u: 1}.
1/272
Calculate prob of picking 2 v when two letters picked without replacement from nhnhhvvnnnnnjnjhjvhn.
3/190
What is prob of picking 1 r and 1 q when two letters picked without replacement from {y: 14, r: 1, q: 2, p: 2}?
2/171
Four letters picked without replacement from {a: 3, v: 5}. Give prob of picking 1 a and 3 v.
3/7
Two letters picked without replacement from rts. Give prob of picking 1 r and 1 s.
1/3
Three letters picked without replacement from uljjlljjllllljllllr. What is prob of picking 3 l?
220/969
What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 5, z: 1, d: 3, m: 1, w: 4}?
5/91
Calculate prob of picking 2 z and 1 v when three letters picked without replacement from zqvvqqzq.
1/28
Four letters picked without replacement from {n: 3, s: 5, f: 1}. Give prob of picking 1 f, 1 n, and 2 s.
5/21
Three letters picked without replacement from ddqadwduueddu. What is prob of picking 1 d, 1 q, and 1 a?
3/143
Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {s: 2, d: 11, e: 3, v: 3}.
22/171
Two letters picked without replacement from {v: 5, k: 2}. Give prob of picking 2 k.
1/21
What is prob of picking 1 j and 2 v when three letters picked without replacement from evvvccvvecvj?
3/44
Calculate prob of picking 2 i when two letters picked without replacement from gcdcdziczzgrgci.
1/105
Three letters picked without replacement from {l: 13, g: 3}. Give prob of picking 1 l and 2 g.
39/560
Three letters picked without replacement from {w: 2, d: 3, u: 3, f: 2, x: 4, z: 1}. What is prob of picking 1 f and 2 w?
2/455
Three letters picked without replacement from mfffffmffffmfmmfffff. What is prob of picking 3 f?
91/228
Calculate prob of picking 2 o when two letters picked without replacement from ttdtttossosssodsd.
3/136
Four letters picked without replacement from {u: 9}. Give prob of picking 4 u.
1
Two letters picked without replacement from ycccmmccynyymcmm. Give prob of picking 1 n and 1 y.
1/30
Calculate prob of picking 2 f when two letters picked without replacement from ffffffffff.
1
Calculate prob of picking 1 k, 1 s, and 1 x when three letters picked without replacement from {c: 1, i: 3, n: 2, s: 6, k: 2, x: 1}.
12/455
Calculate prob of picking 1 h and 1 f when two letters picked without replacement from gqfqggqqvqqhfhfhhh.
5/51
Three letters picked without replacement from btcjtbtbbj. Give prob of picking 1 c, 1 t, and 1 b.
1/10
Three letters picked without replacement from nnqqbnfnbe. What is prob of picking 2 n and 1 f?
1/20
Calculate prob of picking 1 e and 3 h when four letters picked without replacement from {h: 3, e: 5}.
1/14
Four letters picked without replacement from {b: 2, y: 1, n: 1, c: 2, l: 2}. Give prob of picking 1 n, 1 y, and 2 c.
1/70
What is prob of picking 1 r and 1 q when two letters picked without replacement from {g: 1, s: 1, r: 2, q: 1, v: 2}?
2/21
Two letters picked without replacement from {v: 1, x: 2, d: 1, q: 1, w: 1, a: 1}. Give prob of picking 1 q and 1 a.
1/21
Calculate prob of picking 1 u and 2 l when three letters picked without replacement from tffullifbbtl.
3/220
Calculate prob of picking 2 c when two letters picked without replacement from rccccccccr.
28/45
Calculate prob of picking 4 h when four letters picked without replacement from {v: 1, h: 17}.
7/9
Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vlvvvvvvvvvvlvl.
12/35
Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {b: 2, s: 1, w: 3, y: 1, x: 3, g: 7}.
21/136
Three letters picked without replacement from potkoknkouno. What is prob of picking 1 t and 2 k?
3/220
Two letters picked without replacement from jyjjjyjjyljljoax. Give prob of picking 1 l and 1 o.
1/60
Two letters picked without replacement from dldddldllldd. Give prob of picking 2 l.
5/33
Two letters picked without replacement from ataattgdgga. What is prob of picking 1 a and 1 g?
12/55
Calculate prob of picking 2 g and 2 y when four letters picked without replacement from {y: 5, g: 3}.
3/7
What is prob of picking 2 a when two letters picked without replacement from aaayyyayaa?
1/3
Three letters picked without replacement from bqvlloqfv. What is prob of picking 2 q and 1 l?
1/42
What is prob of picking 1 n and 1 d when two letters picked without replacement from {j: 1, d: 1, z: 1, n: 3, f: 1}?
1/7
Three letters picked without replacement from yyaayyafaaeayay. What is prob of picking 1 f and 2 y?
3/91
Two letters picked without replacement from {u: 1, b: 5, n: 1, j: 4}. Give prob of picking 2 b.
2/11
Calculate prob of picking 2 m when two letters picked without replacement from ljhmnjhllhlll.
0
Four letters picked without replacement from {h: 4, q: 16}. What is prob of picking 4 h?
1/4845
Two letters picked without replacement from ykzyzzkzkzkzzkzkzkk. What is prob of picking 1 k and 1 y?
16/171
Four letters picked without replacement from {p: 1, c: 1, s: 1, w: 1, u: 4}. Give prob of picking 1 c, 1 p, and 2 u.
3/35
Three letters picked without replacement from iiiiioililliiiinill. Give prob of picking 1 l, 1 i, and 1 o.
20/323
Calculate prob of picking 2 j when two letters picked without replacement from djpdjny.
1/21
Three letters picked without replacement from {c: 3, o: 7, f: 4, q: 4}. What is prob of picking 3 q?
1/204
What is prob of picking 1 w, 1 s, and 1 j when three letters picked without replacement from {s: 1, j: 2, w: 1}?
1/2
Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {f: 2, p: 2, o: 6, w: 2, x: 3}.
4/105
Three letters picked without replacement from wdobbooowobww. Give prob of picking 1 b and 2 o.
15/143
What is prob of picking 2 s and 2 v when four letters picked without replacement from {v: 7, s: 2}?
1/6
Four letters picked without replacement from ccabnnbcnncbn. Give prob of picking 4 n.
1/143
Calculate prob of picking 3 n and 1 g when four letters picked without replacement from ishsnsnghn.
1/210
Two letters picked without replacement from {k: 3, q: 1, g: 3, w: 3, i: 8}. Give prob of picking 1 w and 1 q.
1/51
What is prob of picking 1 x, 1 r, and 1 s when three letters picked without replacement from xmxfmsxrmmxmxx?
3/182
What is prob of picking 3 d and 1 j when four letters picked without replacement from dddjdddmjdm?
7/33
Four letters picked without replacement from kkkbkbb. Give prob of picking 3 k and 1 b.
12/35
Three letters picked without replacement from {e: 3, z: 2, j: 9, g: 2, r: 1, k: 3}. What is prob of picking 2 j and 1 k?
9/95
Two letters picked without replacement from {b: 1, u: 7}. Give prob of picking 2 u.
3/4
Two letters picked without replacement from kubwkuwwwww. Give prob of picking 1 b and 1 k.
2/55
Two letters picked without replacement from {g: 4, b: 6}. Give prob of picking 2 g.
2/15
Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {m: 3, l: 3, q: 1, v: 3, k: 2, c: 2}.
3/364
Calculate prob of picking 1 v and 1 k when two letters picked without replacement from jjvjjjkjjvjjjjjvkkj.
1/19
Two letters picked without replacement from {c: 1, l: 2, j: 1, z: 3, b: 2, d: 3}. What is prob of picking 1 c and 1 z?
1/22
What is prob of picking 1 q, 1 j, 1 x, and 1 e when four letters picked without replacement from {j: 1, e: 6, x: 1, r: 1, m: 1, q: 3}?
18/715
What is prob of picking 1 o, 1 c, and 1 a when three letters picked without replacement from oa | {
"pile_set_name": "DM Mathematics"
} |
ennia.
2.685037
What is 370565.4kg in tonnes?
370.5654
Convert 350.60445ns to days.
0.000000000004057921875
What is 305785.7 millilitres in litres?
305.7857
Convert 162.3493 days to seconds.
14026979.52
Convert 7.712168 tonnes to kilograms.
7712.168
How many milligrams are there in eighteen fifths of a gram?
3600
Convert 3144.284 nanograms to milligrams.
0.003144284
How many centimeters are there in 87.73483 micrometers?
0.008773483
What is 8/3 of a century in months?
3200
Convert 768483.7l to millilitres.
768483700
What is 0.7772348cm in meters?
0.007772348
What is eight fifteenths of a day in seconds?
46080
What is 425.928 millilitres in litres?
0.425928
What is 106165.4ug in nanograms?
106165400
How many seconds are there in one sixth of a hour?
600
Convert 333.9398 weeks to nanoseconds.
201966791040000000
Convert 378.5509 decades to millennia.
3.785509
Convert 732.6756 minutes to days.
0.5088025
How many millilitres are there in 11/8 of a litre?
1375
What is five quarters of a century in months?
1500
What is 7/2 of a kilogram in grams?
3500
How many millilitres are there in 11/8 of a litre?
1375
What is 32/5 of a millennium in months?
76800
What is 297694.17 months in years?
24807.8475
How many months are there in 82663.25 decades?
9919590
Convert 78.4518 years to months.
941.4216
What is one quarter of a meter in centimeters?
25
Convert 23066.85ng to kilograms.
0.00000002306685
How many years are there in 53/5 of a millennium?
10600
What is 22.61l in millilitres?
22610
How many kilograms are there in 7/2 of a tonne?
3500
What is 1.686143 nanograms in tonnes?
0.000000000000001686143
How many millilitres are there in twenty-nine halves of a litre?
14500
What is one quarter of a second in milliseconds?
250
Convert 48.57037 kilometers to centimeters.
4857037
What is three tenths of a century in decades?
3
What is 31/2 of a litre in millilitres?
15500
What is eleven eighths of a week in hours?
231
How many milliseconds are there in 0.8631926 nanoseconds?
0.0000008631926
Convert 65827.1 weeks to hours.
11058952.8
What is 1/5 of a litre in millilitres?
200
How many years are there in three tenths of a century?
30
How many nanograms are there in 9.182018t?
9182018000000000
What is thirteen fifths of a centimeter in millimeters?
26
What is 3/16 of a kilometer in centimeters?
18750
How many millilitres are there in eleven eighths of a litre?
1375
How many months are there in seventeen sixths of a millennium?
34000
How many centimeters are there in fifty-two fifths of a meter?
1040
How many seconds are there in 1/6 of a day?
14400
How many centuries are there in 9/10 of a millennium?
9
Convert 40.15856 days to microseconds.
3469699584000
Convert 5310.0099 seconds to hours.
1.47500275
What is twenty-one fifths of a minute in seconds?
252
What is 84.91688us in milliseconds?
0.08491688
What is 7/4 of a litre in millilitres?
1750
How many nanograms are there in 3/8 of a microgram?
375
What is 17/4 of a centimeter in micrometers?
42500
How many minutes are there in 4/3 of a day?
1920
How many kilograms are there in 45/8 of a tonne?
5625
How many micrograms are there in 37951.08 nanograms?
37.95108
Convert 3.918011 decades to centuries.
0.3918011
Convert 2.695017 minutes to microseconds.
161701020
What is 1/10 of a millennium in months?
1200
How many decades are there in 9/10 of a millennium?
90
Convert 5049.925 centuries to decades.
50499.25
How many millennia are there in 5.6934 months?
0.00047445
Convert 647875.8ng to tonnes.
0.0000000006478758
What is 11/4 of a tonne in kilograms?
2750
What is 12/25 of a micrometer in nanometers?
480
How many microseconds are there in one fifth of a millisecond?
200
What is twenty-one halves of a millennium in years?
10500
Convert 48463.84 millilitres to litres.
48.46384
How many grams are there in 3/32 of a tonne?
93750
How many litres are there in 0.2022687 millilitres?
0.0002022687
How many hours are there in 13623.363ms?
0.0037842675
How many millilitres are there in 2561.828l?
2561828
What is 25/4 of a century in years?
625
How many millilitres are there in fifty-three fifths of a litre?
10600
Convert 9.06048 nanograms to tonnes.
0.00000000000000906048
What is 3/25 of a milligram in micrograms?
120
How many seconds are there in 1/9 of a week?
67200
What is 17/4 of a litre in millilitres?
4250
What is 8650.8kg in nanograms?
8650800000000000
How many micrograms are there in 1/64 of a gram?
15625
What is 26526.52l in millilitres?
26526520
What is 0.0654613 kilometers in centimeters?
6546.13
Convert 954999.6 micrograms to grams.
0.9549996
What is thirty-two fifths of a microgram in nanograms?
6400
How many micrometers are there in 17/4 of a millimeter?
4250
Convert 95.02079mg to tonnes.
0.00000009502079
Convert 6.1144 years to millennia.
0.0061144
How many grams are there in 0.0111888 milligrams?
0.0000111888
How many milligrams are there in 706.3046t?
706304600000
How many grams are there in 6/5 of a kilogram?
1200
How many micrograms are there in 46/5 of a milligram?
9200
How many kilograms are there in one quarter of a tonne?
250
Convert 560677.3 milligrams to grams.
560.6773
What is one tenth of a decade in months?
12
How many millilitres are there in 2.757483 litres?
2757.483
Convert 618.5207 decades to millennia.
6.185207
What is 0.8771846ml in litres?
0.0008771846
Convert 54867.46 millilitres to litres.
54.86746
Convert 5962.366 kilograms to milligrams.
5962366000
How many hours are there in 55.455498ns?
0.000000000015404305
Convert 0.6104463 millilitres to litres.
0.0006104463
What is 6/25 of a litre in millilitres?
240
What is 19/4 of a day in hours?
114
How many days are there in sixteen sevenths of a week?
16
Convert 2828.771 millennia to years.
2828771
How many millilitres are there in 3/5 of a litre?
600
Convert 26.910443 days to weeks.
3.844349
Convert 6488.69 meters to millimeters.
6488690
What is 0.058933ml in litres?
0.000058933
How many nanometers are there in seventy-four fifths of a micrometer?
14800
How many weeks are there in 463.146957ms?
0.0000007657853125
Convert 95457.56 millimeters to kilometers.
0.09545756
How many milligrams are there in 27/5 of a gram?
5400
Convert 363.0982 litres to millilitres.
363098.2
What is 53/5 of a litre in millilitres?
10600
How many meters are there in eighty-eight fifths of a kilometer?
17600
How many micrometers are there in 6/25 of a centimeter?
2400
What is sixteen ninths of a week in minutes?
17920
How many millilitres are there in thirty-one fifths of a litre?
6200
How many decades are there in 0.2724201 months?
0.0022701675
How many millilitres are there in one quarter of a litre?
250
What is 1.446312ml in litres?
0.001446312
How many micrometers are there in 59343.95 centimeters?
593439500
How many hours are there in 1/4 of a day?
6
How many millimeters are there in 1/10 of a centimeter?
1
What is six fifths of a micrometer in nanometers?
1200
What is 5985.979 millennia in years?
5985979
What is 300.6396nm in millimeters?
0.0003006396
How many millennia are there in 800.0367 years?
0.8000367
What is 883365.4 hours in minutes?
53001924
How many centimeters are there in 68.47567km?
6847567
What is 64685.9 minutes in microseconds?
3881154000000
How many millilitres are there in 72/5 of a litre?
14400
How many millilitres are there in 1/4 of a litre?
250
What is 6/25 of a gram in milligrams?
240
What is 90895.91 micrometers in kilometers?
0.00009089591
What is 67.36955um in millimeters?
0.06736955
What is twenty-seven quarters of a litre in millilitres?
6750
What is three fifths of a centimeter in millimeters?
6
Convert 5899.774l to millilitres.
5899774
What is 93.5708 minutes in microseconds?
5614248000
How many millilitres are there in one quarter of a litre?
250
What is one fifth of a microgram in nanograms?
200
What is 6/25 of a litre in millilitres?
240
How many months are there in thirty-one sixths of a century?
6200
Convert 703.399 decades to millennia.
7.03399
How many millennia are there in 55.93707 decades?
0.5593707
How many milliseconds are there in 232748.7 days?
20109487680000
What is one tenth of a gram in micrograms?
100000
How many micrograms are there in 8.318903ng?
0.008318903
What is 7/4 of a hour in seconds?
6300
What is 3/40 of a | {
"pile_set_name": "DM Mathematics"
} |
y**2 + 1. Determine l(-6).
1
Let n(s) = -s**3 + 9*s**2 - s - 5. Determine n(9).
-14
Let q(j) = j**3 + 37*j**2 + 7. Determine q(-37).
7
Let i(r) = 3*r**2 - 12*r + 2. Give i(5).
17
Let g(f) = -f**3 - 14*f**2 + 2*f + 19. What is g(-14)?
-9
Let o(i) = -i**2 - 9*i + 15. What is o(-11)?
-7
Let o(l) = -3*l - 36. Calculate o(-12).
0
Let f(z) = -2*z. Calculate f(-6).
12
Let n(l) = l + 20. Calculate n(-17).
3
Let m(k) = 6*k - 7. What is m(4)?
17
Let u(c) = c**3 + 5*c**2 - 5*c + 4. Determine u(-5).
29
Let u(f) = -f**3 - 24*f**2 - 25*f - 30. What is u(-23)?
16
Let h(n) = 64*n**3 + n**2 + 1. Determine h(-1).
-62
Let s(h) = -34*h - 65. Give s(-2).
3
Let r(k) = -k**2 + 34*k - 87. Calculate r(30).
33
Let f(o) = 19*o**2 - 2*o + 1. Give f(1).
18
Let c(d) = 6*d + 2. Determine c(-12).
-70
Let v(b) = -39*b**2 + b - 2. What is v(1)?
-40
Let a(k) = -k**3 - 6*k**2 + 7*k. What is a(-7)?
0
Let o(v) = -v**3 - 6*v**2 - 5*v + 4. Determine o(-4).
-8
Let x(n) = 4*n - 41. Determine x(6).
-17
Let j(t) = -t**3 + 5*t**2 - 4*t - 6. Determine j(7).
-132
Let t(b) = -3*b + 23. What is t(8)?
-1
Let q(h) = -h**3 + 8*h**2 + 24*h - 18. What is q(10)?
22
Let i(u) = -u**3 - 4*u**2 + 3*u - 8. Give i(-5).
2
Let r(u) = 2*u**3 + 4*u - 7. Give r(-3).
-73
Let g(f) = -4*f**2 + 2*f + 2. Give g(-1).
-4
Let b(v) = -5*v - 93. Determine b(-18).
-3
Let l(u) = -u**3 - 4*u**2 + u + 5. Determine l(-3).
-7
Let r(q) = -123*q - 5. Determine r(-1).
118
Let i(w) = -w**3 - 6*w**2 + 9*w + 7. What is i(-7)?
-7
Let z(u) = -115*u**2 - 7*u + 6. Calculate z(1).
-116
Let a(s) = 8*s + 3. Calculate a(-1).
-5
Let r(b) = -b + 4. Give r(9).
-5
Let q(i) = -3*i + 5. What is q(-6)?
23
Let t(i) = -i**2 - 9*i + 24. What is t(-10)?
14
Let j(t) = 16*t**3 - t. Give j(-1).
-15
Let g(m) = 8*m + 281. Give g(-38).
-23
Let w(j) = -j**3 - 39*j**2 + 83*j + 39. Calculate w(-41).
-2
Let t(j) = -j**2 - 27*j - 3. Calculate t(-27).
-3
Let w(z) = -z**3 - z + 3. Give w(0).
3
Let g(h) = -h**2 - 8*h + 80. What is g(-14)?
-4
Let h(f) = -f**3 - 20*f**2 - 18*f + 26. Calculate h(-19).
7
Let m(l) = 13*l + 3. Give m(1).
16
Let o(y) = -y + 16. Give o(20).
-4
Let i(b) = 5*b**3 + b**2 - 2*b + 1. Give i(-2).
-31
Let f(o) = 18*o - 1. Give f(1).
17
Let i(q) = q**2 + 5*q - 5. What is i(-4)?
-9
Let o(g) = -3*g + 37. Calculate o(15).
-8
Let z(q) = -2*q - 14. Determine z(-6).
-2
Let t(k) = 2*k**3 - k. Determine t(2).
14
Let j(y) = -y**3 - 7*y**2 - 3*y - 12. Calculate j(-7).
9
Let t(m) = 176*m - 353. What is t(2)?
-1
Let q(m) = -m**2 - 10*m - 23. Determine q(-5).
2
Let g(l) = l**3 - 4*l**2 + 3*l - 33. What is g(5)?
7
Let j(b) = -b**2 + 9*b - 22. Determine j(5).
-2
Let v(y) = -y**2 - 5*y + 5. Calculate v(-5).
5
Let q(t) = -4*t + 3. Determine q(2).
-5
Let p(c) = c**3 - 18*c**2 - 24*c + 104. Determine p(19).
9
Let c(h) = -h**3 - 11*h**2 + 2*h - 7. Calculate c(-12).
113
Let m(p) = -2*p - 19. Determine m(-6).
-7
Let v(d) = d**3 + 8*d**2 + 7*d + 9. What is v(-7)?
9
Let j(u) = u**3 - 26*u**2 - 24*u - 76. Determine j(27).
5
Let n(p) = -p**2 + 7*p + 4. Give n(7).
4
Let x(k) = 15*k + 7. What is x(1)?
22
Let u(i) = -i**2 - 11*i - 11. What is u(-8)?
13
Let v(g) = g**3 + 11*g**2 + 9*g + 3. Calculate v(-10).
13
Let j(c) = 15*c + 284. Determine j(-19).
-1
Let q(l) = 6*l**2 - 61*l + 10. Determine q(10).
0
Let r(n) = -n**2 + 47*n + 258. Give r(-5).
-2
Let v(c) = -4*c**3 - 9*c**2 - 2*c + 4. Give v(0).
4
Let k(u) = -u**3 - 5*u**2 - 2*u. Give k(-5).
10
Let c(w) = w**3 - w**2 - 2*w - 4. Calculate c(3).
8
Let k(q) = 3*q**2 - 2*q - 1. Give k(2).
7
Let l(i) = -8*i - 5. Calculate l(6).
-53
Let g(m) = 3*m + 1. What is g(-6)?
-17
Let i(d) = -d**3 + 4*d**2 + 8*d - 6. Calculate i(5).
9
Let p(x) = -x**2 + 310*x + 1578. Calculate p(-5).
3
Let b(t) = 119*t - 586. Determine b(5).
9
Let d(y) = -y**3 + y**2 - y + 1. Determine d(1).
0
Let g(m) = m**3 - 15*m**2 + 13*m - 25. What is g(14)?
-39
Let p(r) = 4*r + 45. What is p(-12)?
-3
Let i(f) = -2*f - 4. Determine i(-6).
8
Let k(c) = -19*c**3 - 2*c**2 + c. Determine k(2).
-158
Let k(u) = u - 3. Determine k(2).
-1
Let h(r) = r**2 + 5*r. Determine h(-7).
14
Let w(a) = -a**2 - 5*a + 20. Give w(-7).
6
Let g(f) = 2*f**2 - 100*f + 1175. Give g(19).
-3
Let j(r) = r**3 - 26*r**2 + 24*r + 31. Calculate j(25).
6
Let k(s) = -s**2 + 17*s - 13. Determine k(16).
3
Let a(g) = 15*g**2 + 1290*g - 4. Give a(-86).
-4
Let u(i) = i**2 - 26*i + 30. What is u(25)?
5
Let f(l) = l**3 + 7*l**2 - 23*l - 12. Determine f(-9).
33
Let i(v) = v**2 + 17*v + 2. What is i(-17)?
2
Let y(z) = -3*z**2 + z - 3. Give y(0).
-3
Let u(l) = -13*l + 16. Calculate u(5).
-49
Let g(p) = p**3 + 24*p**2 + 24*p + 20. What is g(-23)?
-3
Let j(b) = b**3 + 2*b**2 - 7*b - 3. Determine j(-6).
-105
Let n(l) = -l**3 - 6*l**2 - 10*l - 6. Calculate n(-4).
2
Let m(g) = -g + 19. Give m(-3).
22
Let o(s) = 4*s**2 + 41*s + 17. Give o(-9).
-28
Let v(j) = j**2 - 14*j + 41. What is v(11)?
8
Let u(h) = -h**2 + 13*h + 7. Determine u(13).
7
Let i(u) = -u**2 + 9*u - 10. Calculate i(2).
4
Let x(j) = j**2 - 15*j - 26. Calculate x(19).
50
Let v(p) = 2*p**2 - 3. Calculate v(4).
29
Let m(n) = -n**2 - 3*n + 2. Calculate m(2).
-8
Let q(h) = h**3 + 2*h**2 - 7. Determine q(-2).
-7
Let v(r) = -r**2 + 8*r + 68. Calculate v(13).
3
Let r(i) = -i**3 - 8*i**2 + 9*i - 1. What is r(-9)?
-1
Let o(f) = f + 13. Calculate o(-18).
-5
Let x(l) = l**3 - 30*l**2 + l - 39. Calculate x(30).
-9
Let z(y) = y**3 - 17*y**2 + 31*y - 31. Calculate z(15).
-16
Let h(i) = -7*i + 40. What is h(5)?
5
Let k(d) = d**3 + 8*d**2 + 4*d - 11. Give k(-8).
-43
Let i(s) = s**3 + 8*s**2 + 10*s + 22. What is i(-7)?
1
Let y(i) = i**2 + 16*i + 19. What is y(-16)?
19
Let n(k) = -10*k - 159. Give n(-15).
-9
Let i(p) = 3*p**3 + p**2 + p + 1. What is i(-1)?
-2
Let v(j) = -j**3 + 6*j**2 + 13*j + 17. Calculate v(8).
-7
Let h(k) = -k**3 - 7*k**2 + 2*k + 6. What is h(-7)?
-8
Let k(d) = 2*d**3 + 19*d**2 - 32*d + 4. Determine k(-11).
-7
Let v(f) = f + 19. Determine v(-8).
11
Let c(t) = -5*t + 20. Calculate c(14).
-50
Let o(p) = -p**3 - 5*p**2 + p + 6. Give o(-5).
1
Let m(a) = -a**3 - 14*a**2 + 13*a - 16. Determine m(-15).
14
Let v(g) = g**3 + 20*g**2 + 70*g - 73. Determine v(-15).
2
Let g(h) = -h**3 - 25*h**2 + 54*h + 13. Calculate g(-27).
13
Let p(q) = 25*q**2 - 4*q - 5. Determine p(-1).
24
Let g(r) = r**3 + 4*r**2 - 12*r - 4. Determine g(-6).
-4
Let l(n) = -n + 5. What is l(3)?
2
Let v(w) = -3*w + 117. What is v(42)?
-9
Let f(b) = -8*b + 116. Give f(13).
12
Let p(w) = 3*w + 38. What is p(-10)?
8
Let r(z) = -z**2 + 6*z - 2. What is r(4)?
6
Let l(v) = 5*v + 9. Calculate l(0).
9
Let v(p) = -3*p - 89. Calculate v(-34).
13
Let c(b) = b**2 + 12*b + 35. Give c(-7).
0
Let h(k) = -k**2 + 14*k + 13. Determine h(14).
13
Let p(d) = 2*d**2 - 19*d - 23. Determine p(11).
10
Let t(d) = 12*d + 3. Calculate t(-1).
-9
Let l(n) = n**3 - 6*n**2 - n + 17. Give l(8).
137
Let q(x) = -168*x - 1348. What is q(-8)?
-4
Let n(m) = -m**3 + 9*m**2 - 8*m + 1. Determine n(8).
1
Let y(f) = f**3 + 18*f**2 + 17*f - 18. Determine y(-17).
-18
Let l(a) = 2*a**3 - 3*a**2 + 6*a - 9. Give l(2).
7
Let j(i) = i**3 + 8*i**2 - 6*i - 9. What is j(-8)?
39
Let y(n) = -n**3 + 9*n**2 + 9*n + 7. What is y(10)?
-3
Let y(j) = 7*j - 4. Calculate y(-4).
-32
Let m(t) = 2*t**3 + 4*t**2 - t - 4. Give m(-3).
-19
Let w(a) = -4*a + 13. Calculate w(-11).
57
Let g(v) = v**3 + 2*v**2 - 17*v + 2. Determine g(-5).
12
Let n(l) = l**3 + 14*l**2 + 28*l + 43. What is n(-12)?
-5
Let x(y) = y**3 - 7*y**2 - 16*y - 26. What is x(9)?
-8
Let k(r) = -r**3 + 10*r**2 + 10*r + 12. What is k(11)?
1
Let s(k) = -23*k + 340. What is s(14)?
18
Let s(u) = -u**2 + 15*u. Determine s(17).
-34
Let t(j) = j**3 - 4*j**2 - 4*j - 5. Calculate t(4).
-21
Let v(t) = 25*t + 39. Determine v(-2).
-11
Let h(z) = -2*z**2 + 17*z + 33. Calculate h(10).
3
Let c(j) = -j**2 + 16*j - 62. Give c(8).
2
Let a(p) = -p**2 + 25*p + 68. Determine a(28).
-16
Let k(r) = -2*r**2 + 47. Determine k(6).
-25
Let h(i) = 9*i + 62. What is h(-7)?
-1
Let q(h) = 7*h**3 + h**2 - 5*h - 5. Determine q(-1).
-6
Let o(a) = -14*a + 23. What is o(2)?
-5
Let p(d) = -d**2 - 7*d + 69. What is p(-13)?
-9
Let h(l) = l**2 - 15*l - 7. Determine h(7).
-63
Let r(g) = g**2 - 19*g + 36. What is r(16)?
-12
Let v(n) = n - 13. Calculate v(3).
-10
Let p(x) = x**2 + 7*x + 21. Determine p(-7).
21
Let g(i) = i + 5. What is | {
"pile_set_name": "DM Mathematics"
} |
*c + 56 + 990*c.
6*c + 49
Collect the terms in 245*a**2 + 948*a**2 + 36 + 30 - 65.
1193*a**2 + 1
Collect the terms in -414127*v**2 - 414122*v**2 - 414128*v**2 + 1656498*v**2 - 414126*v**2.
-5*v**2
Collect the terms in 3 + 37*t**2 + 16 - 1074*t**2 - 9 - 10.
-1037*t**2
Collect the terms in 28*w + 5*w + 2*w - 15*w + 0*w - 17*w.
3*w
Collect the terms in 20*l**2 + 13*l - 2*l**2 + 30*l**2 - 7*l**2 + 5 - 13*l.
41*l**2 + 5
Collect the terms in 2507019476 - y - 2507019494 - 2*y.
-3*y - 18
Collect the terms in -4 + 6 - 5 - 70009*i + 2.
-70009*i - 1
Collect the terms in 425 - 14*j**2 - 219 - 206 + 2*j - 14*j**2 + 7*j**2.
-21*j**2 + 2*j
Collect the terms in -4*z**2 - 3288*z - 1951*z + 1075*z.
-4*z**2 - 4164*z
Collect the terms in -1971*g**2 - 891*g**2 - 788*g + 788*g - 1799*g**2.
-4661*g**2
Collect the terms in -139463874125 + 139463874125 - 41*p**3.
-41*p**3
Collect the terms in 29*w - 350589 - 60*w + 30*w.
-w - 350589
Collect the terms in 24*a - 1235*a**2 + 53*a**3 - 2*a - 12*a - 10*a.
53*a**3 - 1235*a**2
Collect the terms in 70 - 340*m + 70 - 345*m + 684*m - 140.
-m
Collect the terms in 62*t - 1786 + 31*t - 23*t + 1786.
70*t
Collect the terms in 2638632*m**3 + 2069079*m**3 - 442935*m**3.
4264776*m**3
Collect the terms in 1804074*w - 6324651*w - 4241594*w.
-8762171*w
Collect the terms in 7767 - 1955 - 1966 - 1895 - 14*n - 14*n - 1951.
-28*n
Collect the terms in 23*l**3 + 1054*l - 1054*l - 36*l**3 + 22*l**3 + 32*l**3 + 33*l**3.
74*l**3
Collect the terms in -181*v**3 - 1 + 180*v**3 - 848869*v + 848869*v + 4 - 2 - 1.
-v**3
Collect the terms in 24*o - 3 + 5 - 78*o + 6*o + 3*o + 25*o.
-20*o + 2
Collect the terms in -17363*h**2 - 16062*h**2 + 1603*h**2 + 0 + 2.
-31822*h**2 + 2
Collect the terms in -157*o**2 - 2478 + 2478 - 112*o**2 - o**3 + 2*o**3.
o**3 - 269*o**2
Collect the terms in 16*p**2 + 43*p**2 + 36*p**2 + 69*p**2 - 169*p**2 + 38*p**2.
33*p**2
Collect the terms in 16*y**2 - 4 + 5095672*y - 5095672*y.
16*y**2 - 4
Collect the terms in -706*h - 714*h - 715*h + 4277*h - 717*h - 723*h - 710*h.
-8*h
Collect the terms in -14 - 3636*n - 8 - 3111*n + 20.
-6747*n - 2
Collect the terms in -317*v**2 - 15238*v - 321*v**2 + 640*v**2 + 15260*v.
2*v**2 + 22*v
Collect the terms in 28726*i**2 + 499 - 9582*i**2 - 9568*i**2 - 9575*i**2 - 499.
i**2
Collect the terms in 1287*f + 4743*f - 564*f.
5466*f
Collect the terms in -86 + 118 + 243 - 2*g.
-2*g + 275
Collect the terms in 0 - 85267*x + 438726*x + 2 - 2.
353459*x
Collect the terms in 1589*x**2 + 39873*x**2 - 41465*x**2.
-3*x**2
Collect the terms in -3*i + 2*i + 4*i + 4050*i**3 + 9185*i**3 - 13234*i**3.
i**3 + 3*i
Collect the terms in -h - 91*h**2 + 179*h**2 - 108 + 57 + 120*h**2 + 51.
208*h**2 - h
Collect the terms in -18331*j**2 + 10526*j**2 + 8696*j**2.
891*j**2
Collect the terms in -143*o - 101*o + 526*o + 1029*o + 3 + 187*o.
1498*o + 3
Collect the terms in -27 + q**2 + 306*q - 97 - 20.
q**2 + 306*q - 144
Collect the terms in -138957679*d**2 - 2*d + 138957679*d**2 - 384*d**3 + 2*d.
-384*d**3
Collect the terms in 416*d**2 - 1001*d**2 - 298*d**2.
-883*d**2
Collect the terms in -19864270*c + 61516684*c - 17780163*c + 86222086*c.
110094337*c
Collect the terms in -12 - 1022*n**3 - 118*n + 1235*n**3 + 118*n.
213*n**3 - 12
Collect the terms in 3256*w**3 + 24 - 19 - 5.
3256*w**3
Collect the terms in 308*m - 216 - 1387*m + 536*m + 539*m.
-4*m - 216
Collect the terms in 9 + 13 - 16*b**2 - 8 - 16 - 7.
-16*b**2 - 9
Collect the terms in -48*f**2 - 8*f + 23 + 0*f + 2*f.
-48*f**2 - 6*f + 23
Collect the terms in -88308*b + 44131*b + 44170*b.
-7*b
Collect the terms in -13*r - 59 + 11 + 29*r - 21 - 11.
16*r - 80
Collect the terms in 62*b**2 + 80*b**3 + 55*b**2 - 79*b**3 - 52*b**2 + 43*b**2.
b**3 + 108*b**2
Collect the terms in -82291*c + 82291*c + 5*c**3 + 8*c**3.
13*c**3
Collect the terms in -570*r + 3*r**3 + 46*r**3 + 285*r + 24*r**3 + 285*r.
73*r**3
Collect the terms in 36066*r + 12*r**3 - 36066*r.
12*r**3
Collect the terms in 412*d**2 + 351*d**2 + 445*d**2 - 484*d**2 - 14*d**2.
710*d**2
Collect the terms in 4544*t**2 - 4*t**3 + 4551*t**2 - 18192*t**2 + 4553*t**2 + 4544*t**2.
-4*t**3
Collect the terms in 14*z - z - 407 + 2*z**3 + 327 + 0*z + 80.
2*z**3 + 13*z
Collect the terms in 0*i + 637318*i**2 - 4*i + 4*i.
637318*i**2
Collect the terms in 1194397*y - 4 - 1193523*y + 2 + 2.
874*y
Collect the terms in -4862*w**2 + 11*w**2 - 364235*w**3 + 364237*w**3.
2*w**3 - 4851*w**2
Collect the terms in -39846 + 39846 - 9605*n + 3*n**2 + 9605*n.
3*n**2
Collect the terms in -23 + 986323*y**3 - 222*y + 21 + 222*y.
986323*y**3 - 2
Collect the terms in 32489390*n**2 + 3*n - 2*n - 2*n + n - 32489511*n**2.
-121*n**2
Collect the terms in -23*o**2 + 6*o**2 + 191688 - 12*o**2 - 191688.
-29*o**2
Collect the terms in 821*k**3 - 29 - 1676*k**3 + 839*k**3 - 60.
-16*k**3 - 89
Collect the terms in -3154 + 3154 - 755357*a.
-755357*a
Collect the terms in -24 + 2 + 22 + 679*t + t**2.
t**2 + 679*t
Collect the terms in 11720*d - 3995*d - 3989*d - 3943*d.
-207*d
Collect the terms in -351023*w**3 - 185895*w**3 - 307329*w**3 - 89491*w**3.
-933738*w**3
Collect the terms in 5 - 9 + 5 + 8085377*b + b**2 - 8085377*b.
b**2 + 1
Collect the terms in -296507 - 2*r + 296507 + 61*r.
59*r
Collect the terms in 25*l**3 - 372 + 459 + 202*l**3.
227*l**3 + 87
Collect the terms in 194 - 15382715*x - 194.
-15382715*x
Collect the terms in -44 + 250 + 393 + 2*o - 134 - 4*o**2 + 126.
-4*o**2 + 2*o + 591
Collect the terms in -33*p - 16*p - 17 - 20 - 9 + 51*p.
2*p - 46
Collect the terms in 1025*n**2 - 92075 + 427*n**2 + 92075.
1452*n**2
Collect the terms in 243*m**2 + 1765 + 104*m**2 + 695.
347*m**2 + 2460
Collect the terms in 1742 + 102*d + 106*d + 100*d + 94*d - 401*d.
d + 1742
Collect the terms in 148*x - 84*x - 353*x - 239*x - 224*x + 0*x.
-752*x
Collect the terms in -270*m - 7101*m**3 - 58*m + 7103*m**3.
2*m**3 - 328*m
Collect the terms in 5073*u**3 - 4450*u**3 - 622*u**3.
u**3
Collect the terms in 164*p + 168*p - 133*p + 184*p + 163*p - 549*p.
-3*p
Collect the terms in 559 - q - 116 - 139 - 285.
-q + 19
Collect the terms in 0*s**3 + 7*s**3 - 4075*s + 10*s**3 - 10*s**3 + 4075*s.
7*s**3
Collect the terms in 22*d + 22470680 - 22470680.
22*d
Collect the terms in 12380*h + 15*h**3 + 11847*h - 24227*h - 3*h**3.
12*h**3
Collect the terms in 2761426 - 2761426 + 527*b**2 + b**3.
b**3 + 527*b**2
Collect the terms in 51988 + 56773 - 2*x**3 - 108761 - x**3 - 3*x**3.
-6*x**3
Collect the terms in 63726*u**2 + 9405*u - 4699*u - 63704*u**2 - 4706*u.
22*u**2
Collect the terms in 2 - 1310*y**2 - 1322*y**2 - 1295*y**2 + 3930*y**2 - 2.
3*y**2
Collect the terms in -50 + 16*m**2 + 1 + 12*m + 50*m + 16 - 15*m**2.
m**2 + 62*m - 33
Collect the terms in -76243*o**3 + 152598*o**3 - 76349*o**3.
6*o**3
Collect the terms in 3 - 137*q**2 + 32*q**2 - 14*q**2 + 39*q**2 + 0 + 51*q**2.
-29*q**2 + 3
Collect the terms in 1054*p**3 - 4055*p**3 - 21594*p**3.
-24595*p**3
Collect the terms in -15476*d - 586 + 1177 - 598 + 15474*d.
-2*d - 7
Collect the terms in 391*z**3 - 3512*z**3 - 2551*z**3.
-5672*z**3
Collect the terms in -24*t**2 + 196855904316468 - 196855904316468.
-24*t**2
Collect the terms in 13774*s**2 - 6900*s**2 + 4*s - 6918*s**2 - s.
-44*s**2 + 3*s
Collect the terms in -2*n**2 + 59*n + 0*n**2 + 25*n**3 + 1 - 5*n**2 - 65*n**3.
-40*n**3 - 7*n**2 + 59*n + 1
Collect the terms in -4802*y - 2890*y - 9112*y - 24288*y.
-41092*y
Collect the terms in -74*x**2 + 12*x**2 - 55*x**3 + 14 - 16*x**3.
-71*x**3 - 62*x**2 + 14
Collect the terms in 127*o**3 - 37 + 132*o**3 - 557*o**3 + 300*o**3.
2*o**3 - 37
Collect the terms in 8 + 17*z + 27*z - 121*z + 39*z - 43*z.
-81*z + 8
Collect the terms in -161 + 395 + 21*g**2 + 0*g**2 - 234 + 15*g.
21*g**2 + 15*g
Collect the terms in 14485*y**2 - 45506*y**2 + 14480*y**2 + 16556*y**2.
15*y**2
Collect the terms in 358*r**3 + 823 - 778 - 359*r**3 - 5*r**2 - 45.
-r**3 - 5*r**2
Collect the terms in -649*d + 2070*d + 1 - 688*d - 1 - 685*d.
48*d
Collect the terms in 939*h**3 + 936*h**3 + 939*h**3 - 4665*h**3 + 911*h**3 + 942*h**3.
2*h**3
Collect the terms in -8930*f - 8743*f - 9075*f + 26114*f.
-634*f
Collect the terms in -784*p**3 - 2*p - 12*p**2 - 1537*p**3 + 4*p**2 - 8*p**2.
-2321*p**3 - 16*p**2 - 2*p
Collect the terms in -2107348*u**3 + 138568*u**3 - 1898908*u**3 - 113385*u**3.
-3981073*u | {
"pile_set_name": "DM Mathematics"
} |
erms in -2*n - 31*n + 8*n.
-25*n
Collect the terms in 13121*i**3 + 3829*i**3 + 4253*i**3.
21203*i**3
Collect the terms in -17*m - 9*m + 33*m + 7*m**2 - 7*m.
7*m**2
Collect the terms in -7*l - 1 + 5 - 3 - 2.
-7*l - 1
Collect the terms in 1 + 5*h**2 + 6*h**2 + 25*h**2.
36*h**2 + 1
Collect the terms in -7*b**2 + b - 25*b**2 + 0*b - b.
-32*b**2
Collect the terms in 8*g + 0*g - 8*g + 108*g**2.
108*g**2
Collect the terms in -37249*g + 5*g**3 + 37249*g.
5*g**3
Collect the terms in 65*u - 29*u - 37*u.
-u
Collect the terms in 13169*t - 13174*t - 6 + 6.
-5*t
Collect the terms in -34*p + p**3 + 68*p - 34*p.
p**3
Collect the terms in -4*x**2 + 4*x - 2*x**2 + 2*x**2.
-4*x**2 + 4*x
Collect the terms in 11*d**3 + 14*d**3 - 7*d**3 + d**3.
19*d**3
Collect the terms in -3591 + 6*a**3 - 3587 + 7178.
6*a**3
Collect the terms in 7*m**3 + 5*m**3 - 5*m**3.
7*m**3
Collect the terms in 8*z**3 + 13*z**3 - 17*z**3.
4*z**3
Collect the terms in 1 - 1 + 5*n**3 - 2*n**3.
3*n**3
Collect the terms in -535*w**2 + 265*w**2 + 252*w**2.
-18*w**2
Collect the terms in 4*u - 604171 + 604171.
4*u
Collect the terms in 39668 - 39668 + a.
a
Collect the terms in -8*l**2 + 132 + 7*l**2 - 132 - 2*l**2.
-3*l**2
Collect the terms in 13*m - 4 + 11*m + 4.
24*m
Collect the terms in 60 - 47*s - 60 + 13*s.
-34*s
Collect the terms in 63 - 63 - a.
-a
Collect the terms in -5*p**3 + 51 - 4*p**3 + 8*p**3.
-p**3 + 51
Collect the terms in 1555 - 1555 + 6*h.
6*h
Collect the terms in 5*x + 3*x - 3*x + 4*x.
9*x
Collect the terms in 128*i - 3 + 5 - 2.
128*i
Collect the terms in -4 + 4 - 82*r - r**2.
-r**2 - 82*r
Collect the terms in 3*p**3 - 2*p**3 - 3*p**3 - p**3 - p**3.
-4*p**3
Collect the terms in -99*b + 195*b - 102*b.
-6*b
Collect the terms in 40*u - 19*u - 2 - 18*u.
3*u - 2
Collect the terms in -51*x**3 + 96*x**3 - 48*x**3.
-3*x**3
Collect the terms in 234*d**3 + 26*d**3 - 12*d**3 + 77*d**3.
325*d**3
Collect the terms in 13*c**3 + 8*c**3 + 3*c**3 - 17*c**3.
7*c**3
Collect the terms in -79 + 166 - 87 + 4*s**2.
4*s**2
Collect the terms in 3*y + 156*y**2 - 3*y.
156*y**2
Collect the terms in -11*a**3 + 8*a + 8*a**3 - 8*a.
-3*a**3
Collect the terms in -2*z**3 + z**3 - 148*z + 73*z + 75*z.
-z**3
Collect the terms in -478278*i**2 + 2 - 2 + 478276*i**2.
-2*i**2
Collect the terms in -9*s**2 + 39*s**2 - 17*s**2 - 11*s**2.
2*s**2
Collect the terms in -52*c**2 - 109*c**2 - 58*c**2.
-219*c**2
Collect the terms in 256*m**2 - 2*m + 2*m.
256*m**2
Collect the terms in 12 - 29*p**3 - 12.
-29*p**3
Collect the terms in -9*r - 28*r - 7*r + 43*r.
-r
Collect the terms in -5*r + 179 + 189 - 368.
-5*r
Collect the terms in 31*q**3 - 7*q + 7*q.
31*q**3
Collect the terms in 11*q**2 - 6 + 1 + 1.
11*q**2 - 4
Collect the terms in -43*x**3 - 79*x + 79*x.
-43*x**3
Collect the terms in -8*y**2 + 6*y**2 + y**2 + 14*y**2 + 12*y**2.
25*y**2
Collect the terms in -85*s**2 - 82*s**2 + s**2.
-166*s**2
Collect the terms in 84*x + 0 + 0.
84*x
Collect the terms in -6 + 11 - 12*u - 5.
-12*u
Collect the terms in 100 + 5*l - 64 - 36 + 0*l.
5*l
Collect the terms in -105*j**2 + 105*j**2 - 3*j**3 + j**3 - 3*j**3.
-5*j**3
Collect the terms in -2*c + c - 6*c - 2*c.
-9*c
Collect the terms in -3*q + 2*q + 4*q.
3*q
Collect the terms in 8 + 0 - 5*g**3 + 1 - 2.
-5*g**3 + 7
Collect the terms in 7*b**2 - 6*b**2 - 3 + 3.
b**2
Collect the terms in 4*v**3 + 105 - 51 - 54 - 6*v**2.
4*v**3 - 6*v**2
Collect the terms in -20*r + 14*r + 57*r + 31*r.
82*r
Collect the terms in 4*g - 13*g**2 + 0*g - 2*g.
-13*g**2 + 2*g
Collect the terms in 14*q**3 + 9*q**3 + 11*q**3.
34*q**3
Collect the terms in f - 4*f + 7*f - 3*f.
f
Collect the terms in 3 + 10 - 1 + 0 + 2*p.
2*p + 12
Collect the terms in -306*d**3 + 308*d**3 + 5 - 5.
2*d**3
Collect the terms in -5*h**3 - 7*h + 8*h**3 - 6*h + 17*h.
3*h**3 + 4*h
Collect the terms in -14*t**3 + 7*t**3 - 14*t**3.
-21*t**3
Collect the terms in -7*b**3 + 2 - 2 + 0.
-7*b**3
Collect the terms in 5*p**2 - 16*p**2 + 8*p**2.
-3*p**2
Collect the terms in 70*y**3 + 74*y**3 - 140*y**3.
4*y**3
Collect the terms in -28*n**2 + 25*n - 25*n.
-28*n**2
Collect the terms in -2*k**3 + 4*k**3 + k**3 + 0*k**3.
3*k**3
Collect the terms in 108 - 108 + 3*r**2.
3*r**2
Collect the terms in -7 - 169*o + 7.
-169*o
Collect the terms in -60546 + 60546 - 2*p**3.
-2*p**3
Collect the terms in -4659 - 4653 - 27*f**2 + 9312.
-27*f**2
Collect the terms in 25 - y - 25.
-y
Collect the terms in 3*q + 2*q**3 + 16*q**3 + 7*q**3 - 4*q**3.
21*q**3 + 3*q
Collect the terms in 43*n + 39*n + 48*n - 148*n.
-18*n
Collect the terms in -11*i - 208*i**2 - 11*i + 22*i - i**3.
-i**3 - 208*i**2
Collect the terms in 19*b**2 + 7*b**2 - 9*b**2 + 6*b**2.
23*b**2
Collect the terms in -12 + 26*b**2 + 5 + 5.
26*b**2 - 2
Collect the terms in 70*z**2 - 81*z**2 - 3*z + z.
-11*z**2 - 2*z
Collect the terms in -23694160*i + 23694160*i - i**3.
-i**3
Collect the terms in 104*b + b**2 - 4*b**2 - 3*b**2 - 104*b.
-6*b**2
Collect the terms in 4 - 224*j - 4 + 0.
-224*j
Collect the terms in 33*h**3 + 27*h**3 - 64*h**3.
-4*h**3
Collect the terms in -3*y + 6*y + 0*y.
3*y
Collect the terms in -6*k - 29 - 3*k + 173.
-9*k + 144
Collect the terms in 7*b + 16*b + 3*b - 4*b.
22*b
Collect the terms in -8*w**3 + 2*w**3 + w**3 + 6*w**3.
w**3
Collect the terms in -4*i**3 - 758*i + 1517*i - 3*i**3 - 759*i.
-7*i**3
Collect the terms in -5*g - 5*g - 79 + 79.
-10*g
Collect the terms in 78*p - 70*p**3 - 78*p + 2*p**2.
-70*p**3 + 2*p**2
Collect the terms in 10*w - 20*w - 180*w.
-190*w
Collect the terms in -3127*l - 3126*l + 6255*l.
2*l
Collect the terms in -14*h**2 + 29*h**2 - 13*h**2.
2*h**2
Collect the terms in 2*w + 21*w + w - 25*w.
-w
Collect the terms in -27*y**2 + 184*y**2 - 28*y**2 + 90*y**2.
219*y**2
Collect the terms in 11*w**2 - 13*w**2 - 20 + 20.
-2*w**2
Collect the terms in 54*v**3 + 38*v**3 - 76*v**3 - 2*v + 2*v.
16*v**3
Collect the terms in -8 + 24 - 8 - 2*y**2 + 4.
-2*y**2 + 12
Collect the terms in -28 + 52 + 6*r**3 - 24.
6*r**3
Collect the terms in 77*f + 78*f - 156*f.
-f
Collect the terms in 0*v**3 + 2*v**3 - 45 + 85 - 40.
2*v**3
Collect the terms in 43*i**3 - 75*i**2 + 41*i**2 + 34*i**2.
43*i**3
Collect the terms in 15*k + 35*k + 26*k.
76*k
Collect the terms in 12 - 22 + 10 - 18*j**3.
-18*j**3
Collect the terms in 2*x**2 + 16*x**3 + 26 + 31 - 57.
16*x**3 + 2*x**2
Collect the terms in 4 - 11*v**3 + v**3 + 5*v**3.
-5*v**3 + 4
Collect the terms in -3*a**2 - 3*a**2 + 10*a**2 + 2*a**2.
6*a**2
Collect the terms in 2*l**3 + 115 - 115 - l**3.
l**3
Collect the terms in 21 - 18*b - 22 + 22*b.
4*b - 1
Collect the terms in 5*s**3 + 23*s**3 + 5*s**3 - 39*s**3.
-6*s**3
Collect the terms in -53*n + 23*n + 30*n - 3*n**2.
-3*n**2
Collect the terms in -405*j + 19*j - 173*j.
-559*j
Collect the terms in 7*s**3 - 2*s**2 - 6*s**3 - s**2 + s**3.
2*s**3 - 3*s**2
Collect the terms in 5*c**2 - 213*c**3 + 20*c**3 - 66*c**3 - 2*c**2.
-259*c**3 + 3*c**2
Collect the terms in -u + 4*u - 17*u - 2*u.
-16*u
Collect the terms in 22995 - 3*h - 22995.
-3*h
Collect the terms in 8*t - 117*t - t**3 + 45*t - 131*t.
-t**3 - 195*t
Collect the terms in 29*z**2 - 11*z**2 - 13*z**2 - 9*z**2 - 9*z**2.
-13*z**2
Collect the terms in 25 + 2*p**3 - 54 + 29.
2*p**3
Collect the terms in 0*f**2 - f**2 - f**2 - 12 + 5*f**2.
3*f**2 - 12
Collect the terms in 8*r**2 - 15*r**2 - 4*r**2 - 16*r**2.
-27*r**2
Collect the terms in 17*d**2 + 16*d**2 + 0*d**2.
33*d**2
Collect the terms in 3*a**3 + 3153*a**2 - 3153*a**2.
3*a**3
Collect the terms in -3*u**3 - 14 + 6*u**3 + 14 - 4*u**3.
-u**3
Collect the terms in 42 + 36*g - 36*g - g**3.
-g**3 + 42
Collect the terms in -4*o + 7*o - 4*o + 4*o.
3*o
Collect the terms in -808*k - 16*k**2 + 808*k.
-16*k**2
Collect the terms in -4*d - 1810 + 1810 + 3*d.
-d
Collect the terms in -10*b + 13*b + 14*b.
17*b
Collect the terms in 92*c + 120*c - 2*c.
210*c
Collect the terms in -4*k + 969*k**2 + 4*k.
969*k**2
Collect the terms in b - 89 - 2*b + 19.
-b - 70
Collect the terms in 67*i**3 - i**2 + i**2 - 49*i**3.
18*i**3
Collect the terms in -3*s + s + 0*s - 34.
-2*s - 34
Collect the terms in -21*r**2 - 8*r + 4*r + 4*r.
-21*r**2
Collect the terms in -71*x**3 - 1 + 1 + 69*x**3.
-2*x**3
Collect the terms in 2*f + 127*f**2 + 25*f - 27*f.
127*f**2
Collect the terms in 124 + 3*k + 2*k - 6*k.
-k + 124
Collect the terms in d - 8 - 2*d - 17 + 3*d.
2*d | {
"pile_set_name": "DM Mathematics"
} |
. What is prob of sequence ll?
4/19
Two letters picked without replacement from obbfobbf. Give prob of sequence of.
1/14
Four letters picked without replacement from bbbbbbbbb. What is prob of sequence bbbb?
1
What is prob of sequence gg when two letters picked without replacement from mbgmggmgmm?
2/15
What is prob of sequence lll when three letters picked without replacement from {l: 5}?
1
What is prob of sequence ayq when three letters picked without replacement from aqqqqqqyqa?
7/360
Three letters picked without replacement from bxbbabbbbffxxbfbxxab. What is prob of sequence fbx?
5/228
What is prob of sequence gow when three letters picked without replacement from {w: 1, e: 1, g: 2, b: 6, o: 2}?
1/330
Calculate prob of sequence uou when three letters picked without replacement from {o: 2, m: 4, u: 1}.
0
Two letters picked without replacement from {c: 8, s: 2}. Give prob of sequence cc.
28/45
Four letters picked without replacement from {c: 4, s: 3, y: 1}. Give prob of sequence cccy.
1/70
Calculate prob of sequence zr when two letters picked without replacement from ruuurauza.
1/36
Two letters picked without replacement from {k: 1, u: 2, f: 1, r: 1}. What is prob of sequence ku?
1/10
What is prob of sequence co when two letters picked without replacement from occk?
1/6
Calculate prob of sequence yo when two letters picked without replacement from gggggyggodyddogygg.
1/51
Two letters picked without replacement from {g: 2, k: 4, d: 2, e: 4, v: 1, l: 2}. Give prob of sequence dk.
4/105
Two letters picked without replacement from gmhgpmhmgk. Give prob of sequence hp.
1/45
Two letters picked without replacement from vnvvnvvvbpnbnvnqvn. Give prob of sequence pv.
4/153
What is prob of sequence mmml when four letters picked without replacement from ememmle?
1/140
Three letters picked without replacement from lcclvjvlcvcuclucc. What is prob of sequence lvu?
1/170
Calculate prob of sequence eg when two letters picked without replacement from {e: 3, q: 5, g: 8}.
1/10
Two letters picked without replacement from rrctrrt. Give prob of sequence tt.
1/21
What is prob of sequence kpgp when four letters picked without replacement from pkkgjaujjpk?
1/1320
Calculate prob of sequence vvu when three letters picked without replacement from ldavuvrlvrvl.
1/110
Three letters picked without replacement from taathttgaatagana. What is prob of sequence tta?
1/24
What is prob of sequence ss when two letters picked without replacement from mmsmmss?
1/7
Calculate prob of sequence qk when two letters picked without replacement from {q: 2, k: 2, g: 1}.
1/5
Four letters picked without replacement from {k: 1, t: 1, n: 5, b: 3, w: 2, j: 1}. Give prob of sequence wknj.
1/1716
Three letters picked without replacement from {t: 5, p: 2}. Give prob of sequence ppt.
1/21
What is prob of sequence kw when two letters picked without replacement from wkz?
1/6
Four letters picked without replacement from {n: 8, x: 3}. Give prob of sequence nnxx.
7/165
Four letters picked without replacement from tths. Give prob of sequence tttt.
0
Four letters picked without replacement from xyxyyyyyyyxyxyyxyo. What is prob of sequence xyxx?
1/102
Two letters picked without replacement from csabnccsc. What is prob of sequence sc?
1/9
Calculate prob of sequence vvlx when four letters picked without replacement from xllvvvlzvv.
1/84
Four letters picked without replacement from ycycyyucyccyyyyyyycc. What is prob of sequence yccy?
77/1615
Calculate prob of sequence lxv when three letters picked without replacement from {c: 1, v: 2, l: 5, x: 4, e: 2}.
5/273
Two letters picked without replacement from htrdf. What is prob of sequence fr?
1/20
Two letters picked without replacement from {f: 8, r: 4, m: 4}. What is prob of sequence ff?
7/30
Calculate prob of sequence gzgh when four letters picked without replacement from zgzhnzzzg.
5/1512
Two letters picked without replacement from {q: 1, w: 1, o: 3, p: 4, n: 2, s: 7}. What is prob of sequence op?
2/51
What is prob of sequence cw when two letters picked without replacement from {c: 5, o: 14, w: 1}?
1/76
Calculate prob of sequence vy when two letters picked without replacement from vygggggcmyvmygggg.
3/136
Calculate prob of sequence tbjg when four letters picked without replacement from gxgggrrjrbtxxtrrtgrg.
1/6460
Two letters picked without replacement from {m: 5, d: 4, n: 3, j: 7}. What is prob of sequence nm?
5/114
What is prob of sequence uuf when three letters picked without replacement from {u: 2, f: 6, n: 10}?
1/408
Three letters picked without replacement from wptkt. Give prob of sequence tkt.
1/30
Calculate prob of sequence dy when two letters picked without replacement from {b: 4, l: 2, y: 1, d: 1, o: 2}.
1/90
What is prob of sequence ujj when three letters picked without replacement from uujjjjj?
4/21
Calculate prob of sequence wl when two letters picked without replacement from qqlwwlqql.
1/12
What is prob of sequence shsf when four letters picked without replacement from {f: 2, s: 4, h: 2}?
1/35
Four letters picked without replacement from {j: 2, k: 1, t: 4, y: 10}. Give prob of sequence yjkj.
1/2856
Calculate prob of sequence zzfr when four letters picked without replacement from {r: 3, l: 3, z: 1, f: 1, y: 3}.
0
Four letters picked without replacement from {c: 2, x: 2, s: 2}. Give prob of sequence cxss.
1/45
Three letters picked without replacement from ffffffffflfffflflfff. Give prob of sequence llf.
17/1140
What is prob of sequence imes when four letters picked without replacement from ggegisgmmemegmgg?
1/3640
Two letters picked without replacement from lkttkltkklkll. What is prob of sequence tk?
5/52
Four letters picked without replacement from gvvggvtvvgvvvv. Give prob of sequence vvtv.
3/143
Calculate prob of sequence hf when two letters picked without replacement from {i: 6, g: 5, q: 5, h: 1, f: 2}.
1/171
Calculate prob of sequence kjf when three letters picked without replacement from {f: 13, k: 1, j: 3}.
13/1360
Calculate prob of sequence cfcc when four letters picked without replacement from fffffffffffccffcccf.
35/3876
Calculate prob of sequence xdpk when four letters picked without replacement from {m: 1, d: 11, x: 2, k: 1, p: 4}.
11/11628
What is prob of sequence qxpl when four letters picked without replacement from qppxiala?
1/840
Two letters picked without replacement from bgnbtbvgtttgetg. Give prob of sequence vn.
1/210
Two letters picked without replacement from krrkrrrkkkktt. Give prob of sequence tt.
1/78
Calculate prob of sequence mmmm when four letters picked without replacement from {m: 13, v: 6}.
715/3876
What is prob of sequence cs when two letters picked without replacement from {c: 2, i: 2, j: 3, s: 1, x: 4, w: 3}?
1/105
Calculate prob of sequence ffve when four letters picked without replacement from {e: 2, d: 2, v: 2, f: 2, q: 8}.
1/5460
What is prob of sequence ccsd when four letters picked without replacement from {c: 3, s: 8, d: 5}?
1/182
Two letters picked without replacement from {z: 1, l: 2, a: 1, u: 1, g: 2}. What is prob of sequence ul?
1/21
What is prob of sequence ppp when three letters picked without replacement from kqqqcpcqcpcccqppqp?
5/408
Calculate prob of sequence jrzj when four letters picked without replacement from miijzzjzmzmzjzjjr.
1/476
What is prob of sequence ol when two letters picked without replacement from alaaodladd?
1/45
What is prob of sequence rru when three letters picked without replacement from {g: 2, u: 3, r: 6, k: 1}?
3/44
Calculate prob of sequence sm when two letters picked without replacement from spxtxddtxmddxddtxx.
1/306
Two letters picked without replacement from {v: 12, p: 3}. Give prob of sequence vp.
6/35
Calculate prob of sequence tt when two letters picked without replacement from {t: 3, m: 1}.
1/2
Two letters picked without replacement from ckj. Give prob of sequence kc.
1/6
Three letters picked without replacement from muummmmu. What is prob of sequence mum?
5/28
Calculate prob of sequence wwl when three letters picked without replacement from plpwlplwlwllw.
6/143
Three letters picked without replacement from ccccyy. Give prob of sequence cyc.
1/5
Calculate prob of sequence uq when two letters picked without replacement from {t: 3, o: 1, b: 1, g: 2, u: 8, q: 1}.
1/30
C | {
"pile_set_name": "DM Mathematics"
} |
cxcwwxwxc. What is prob of sequence xwx?
1/44
Calculate prob of sequence rhrg when four letters picked without replacement from hrrghlgggll.
1/495
Three letters picked without replacement from {l: 11, o: 6, q: 1}. What is prob of sequence lql?
55/2448
What is prob of sequence ia when two letters picked without replacement from {i: 2, e: 4, a: 3}?
1/12
Calculate prob of sequence gazg when four letters picked without replacement from gagagzggaga.
1/66
Calculate prob of sequence qqzj when four letters picked without replacement from zzkjkqkzzijiqjzjizz.
7/11628
Two letters picked without replacement from {v: 1, e: 5, a: 4, d: 1, o: 5}. Give prob of sequence ev.
1/48
Calculate prob of sequence oo when two letters picked without replacement from ogoogo.
2/5
What is prob of sequence zzz when three letters picked without replacement from {e: 1, z: 2}?
0
Calculate prob of sequence vhx when three letters picked without replacement from vavhvxxhvx.
1/30
Four letters picked without replacement from azyaaazzyyaayaza. What is prob of sequence yzaz?
4/455
What is prob of sequence xnzx when four letters picked without replacement from {n: 8, x: 2, l: 1, z: 6, c: 1}?
1/765
Four letters picked without replacement from zbzbzbbabkz. What is prob of sequence azbb?
1/99
Two letters picked without replacement from {s: 5, y: 13}. Give prob of sequence ys.
65/306
What is prob of sequence ph when two letters picked without replacement from pbbcbbzhfzbccbbbp?
1/136
Calculate prob of sequence qq when two letters picked without replacement from {p: 9, q: 7}.
7/40
Three letters picked without replacement from {l: 9, y: 8, u: 1, s: 1, d: 1}. What is prob of sequence ull?
1/95
Three letters picked without replacement from {f: 3, r: 2, m: 1, n: 1}. What is prob of sequence nmr?
1/105
What is prob of sequence aka when three letters picked without replacement from asajjksjaaj?
2/165
Calculate prob of sequence gj when two letters picked without replacement from {h: 2, j: 2, m: 7, g: 1}.
1/66
Calculate prob of sequence xo when two letters picked without replacement from xoe.
1/6
Calculate prob of sequence wgyw when four letters picked without replacement from {w: 2, g: 5, y: 5}.
5/1188
What is prob of sequence fvv when three letters picked without replacement from {v: 10, f: 9}?
45/323
Two letters picked without replacement from pxyxxpxxxply. What is prob of sequence lp?
1/44
Three letters picked without replacement from hcccccrcc. What is prob of sequence hcc?
1/12
Three letters picked without replacement from {i: 2, g: 1, x: 1, n: 12, k: 1}. What is prob of sequence kin?
1/170
What is prob of sequence kkxg when four letters picked without replacement from kkxkkxkxxgjxkxxxkxjk?
7/1615
Four letters picked without replacement from {v: 2, l: 2, o: 1, p: 2, s: 1, c: 4}. Give prob of sequence ppol.
1/2970
What is prob of sequence errr when four letters picked without replacement from {e: 15, r: 3}?
1/816
Calculate prob of sequence bc when two letters picked without replacement from qbbcwwbqbbcqqrbcbr.
7/102
What is prob of sequence ri when two letters picked without replacement from yrmiu?
1/20
Three letters picked without replacement from tftiotetojejotttj. Give prob of sequence jtj.
7/680
Four letters picked without replacement from vvnnnvnnnnnvv. Give prob of sequence nnvv.
28/429
Three letters picked without replacement from ykkyybkbkbkyykkk. Give prob of sequence ybb.
1/112
Two letters picked without replacement from {f: 2, j: 2, n: 2}. What is prob of sequence nj?
2/15
Calculate prob of sequence nw when two letters picked without replacement from {b: 10, z: 2, n: 4, w: 4}.
4/95
Two letters picked without replacement from {f: 1, c: 3, a: 1, w: 2, k: 6, g: 2}. What is prob of sequence cg?
1/35
What is prob of sequence olak when four letters picked without replacement from clkcellolaklclo?
1/1365
What is prob of sequence ac when two letters picked without replacement from ggjjajajjcjjgjgg?
1/120
What is prob of sequence ffku when four letters picked without replacement from fqqsskkqffukaffssq?
1/1224
Calculate prob of sequence azs when three letters picked without replacement from nsjnnsnassnaszjs.
1/280
Two letters picked without replacement from {l: 1, u: 1, r: 1}. What is prob of sequence ul?
1/6
Calculate prob of sequence pp when two letters picked without replacement from ppppppppp.
1
Calculate prob of sequence he when two letters picked without replacement from mheyytrtr.
1/72
Three letters picked without replacement from cccycycccc. Give prob of sequence ycc.
7/45
Calculate prob of sequence yne when three letters picked without replacement from rernpyndy.
1/126
What is prob of sequence bzcb when four letters picked without replacement from {b: 2, z: 2, c: 1}?
1/30
Calculate prob of sequence wqq when three letters picked without replacement from qqowqoowqooo.
1/55
What is prob of sequence en when two letters picked without replacement from {n: 3, d: 2, y: 3, j: 1, t: 1, e: 1}?
3/110
Calculate prob of sequence gsg when three letters picked without replacement from gsssgs.
1/15
Two letters picked without replacement from fxxfowvj. Give prob of sequence jf.
1/28
Calculate prob of sequence mr when two letters picked without replacement from rrrrmrmmxwrrrmmmrrgr.
33/190
Four letters picked without replacement from zczzzczczczc. Give prob of sequence czzc.
7/99
What is prob of sequence llb when three letters picked without replacement from bqblqqlbq?
1/84
Four letters picked without replacement from {e: 11, w: 3}. What is prob of sequence wwew?
1/364
Two letters picked without replacement from rrrrrrridrrrrrdrr. Give prob of sequence rd.
7/68
What is prob of sequence nu when two letters picked without replacement from uniuguguiudlnuiii?
3/68
Four letters picked without replacement from {k: 1, l: 6, e: 10}. Give prob of sequence kele.
9/952
Calculate prob of sequence pdzz when four letters picked without replacement from {a: 3, d: 1, z: 3, e: 1, p: 3}.
1/440
What is prob of sequence ffda when four letters picked without replacement from ffffabedfd?
1/126
Four letters picked without replacement from {c: 3, s: 4, w: 5}. What is prob of sequence sscc?
1/165
What is prob of sequence agku when four letters picked without replacement from aakgukct?
1/420
Four letters picked without replacement from kkpk. Give prob of sequence kpkk.
1/4
What is prob of sequence rn when two letters picked without replacement from vnrvnvvvvnvrvnvrr?
1/17
Calculate prob of sequence cssv when four letters picked without replacement from {s: 2, g: 4, h: 2, c: 1, v: 1, l: 2}.
1/5940
Two letters picked without replacement from {k: 2, s: 11, h: 2}. What is prob of sequence hs?
11/105
Three letters picked without replacement from krwwwkrkkrkr. What is prob of sequence rwr?
3/110
Calculate prob of sequence jji when three letters picked without replacement from {i: 1, j: 17}.
1/18
Calculate prob of sequence pi when two letters picked without replacement from zcuupyupuupiuzyuu.
3/272
Two letters picked without replacement from ddkkddtdttdtdd. Give prob of sequence kd.
8/91
Calculate prob of sequence uu when two letters picked without replacement from uuuuuuuuuu.
1
What is prob of sequence yaa when three letters picked without replacement from {a: 3, i: 1, y: 1}?
1/10
Calculate prob of sequence vof when three letters picked without replacement from {e: 2, v: 1, o: 4, g: 1, f: 3}.
2/165
Calculate prob of sequence ddsx when four letters picked without replacement from dmsdusfx.
1/420
Calculate prob of sequence nt when two letters picked without replacement from {m: 3, a: 1, h: 1, i: 5, t: 1, n: 1}.
1/132
Three letters picked without replacement from slhlthf. Give prob of sequence hsl.
2/105
What is prob of sequence ittt when four letters picked without replacement from {t: 3, i: 1, g: 1}?
1/20
Three letters picked without replacement from {i: 7, h: 1, v: 1, k: 9, t: 2}. What is prob of sequence ihi?
7/1140
What is prob of sequence oxo when three letters picked without replacement from xxxooxwxxx?
7/360
Calculate prob of sequence iki when three letters picked without replacement from {i: 1, d: 2, t: 1, k: 4}.
0
Four letters picked without replacement from {e: 2, s: 4}. What is prob of sequence eess?
1/15
Four lette | {
"pile_set_name": "DM Mathematics"
} |
rt(297) + (sqrt(297)*2 - sqrt(297)) + sqrt(297) + sqrt(297))/sqrt(9))/(sqrt(44)*3).
5*sqrt(3)/6
Simplify (sqrt(10)/(-2*sqrt(80) + sqrt(80) - sqrt(80)))**2.
1/32
Simplify (sqrt(13) - (3 + -1*sqrt(13))) + -4.
-7 + 2*sqrt(13)
Simplify 4*sqrt(152)/(sqrt(512)*-2).
-sqrt(19)/4
Simplify ((sqrt(88) + (-6*sqrt(88)*-3 - sqrt(88)))/sqrt(8))**2.
3564
Simplify -1*-2*sqrt(11) + 3.
3 + 2*sqrt(11)
Simplify ((sqrt(385) + 2*sqrt(385))/sqrt(11) - sqrt(35))/(sqrt(245) - (1*sqrt(245) - sqrt(245))).
2*sqrt(7)/7
Simplify -3*(sqrt(1053) + 1 + 3).
-27*sqrt(13) - 12
Simplify (sqrt(5) + -2 + 3)**2 - (sqrt(45)*-2)**2.
-174 + 2*sqrt(5)
Simplify -2*((sqrt(567)*1)**2 - sqrt(567) - sqrt(567)) - (sqrt(567) + (0 + sqrt(567))*3)**2.
-10206 + 36*sqrt(7)
Simplify (sqrt(11) - sqrt(110)/sqrt(360)) + sqrt(11)*-1*-2.
17*sqrt(11)/6
Simplify (sqrt(7) + sqrt(196)/sqrt(7) + -1*4*sqrt(7))**2.
7
Simplify (-1 + sqrt(300))**2 + -2.
-20*sqrt(3) + 299
Simplify (sqrt(3) + sqrt(768))**2 + -4*(sqrt(12)/sqrt(4))**2 + -3.
852
Simplify 5*sqrt(44) + sqrt(11)*2 + 0.
12*sqrt(11)
Simplify (((sqrt(156) - 2*sqrt(156)) + sqrt(156))*-1)/(sqrt(24)/sqrt(2)*-2).
0
Simplify (2*sqrt(2432))/((sqrt(10) - sqrt(160))/sqrt(5)).
-16*sqrt(19)/3
Simplify (3 + sqrt(7)*2*-5 + 2)**2.
-100*sqrt(7) + 725
Simplify ((sqrt(567)*-2 - sqrt(7) - (sqrt(7) + 0 + sqrt(7))*6)*-3)**2.
60543
Simplify ((sqrt(98) - (-1 + sqrt(98) + sqrt(98))) + sqrt(98))**2 + 2 + 0.
3
Simplify (sqrt(7) + (sqrt(7) - 1*sqrt(7)*1)**2)*-5.
-5*sqrt(7)
Simplify ((sqrt(96)/(sqrt(32)/sqrt(4)))/(1*sqrt(4)*-1))**2.
3
Simplify 2*(2 + sqrt(20)/sqrt(4)).
4 + 2*sqrt(5)
Simplify ((sqrt(95)/sqrt(5) + 4 + -1)*-3)**2.
54*sqrt(19) + 252
Simplify 5 + -1 + -6*sqrt(24)/sqrt(2).
-12*sqrt(3) + 4
Simplify 3 + (sqrt(99)*-1*-5 - sqrt(99) - (0 + sqrt(99) + 0)).
3 + 9*sqrt(11)
Simplify ((-4*sqrt(750))/(sqrt(1210) - (sqrt(1210) - (sqrt(1210) - 1*sqrt(1210))) - sqrt(1210)))**2.
1200/121
Simplify (sqrt(5) - ((sqrt(30)/sqrt(6))**2 + 2)) + -3 + sqrt(5) + 3.
-7 + 2*sqrt(5)
Simplify -4 + 0 + (sqrt(7) - (sqrt(7) + sqrt(28)*-4) - (4 + sqrt(7) + 0))**2.
-56*sqrt(7) + 355
Simplify (-1*sqrt(825) + sqrt(825))/(-2*-2*sqrt(11)) + -1.
-1
Simplify (sqrt(3) + 3)*-6*1.
-18 - 6*sqrt(3)
Simplify 2*(1*sqrt(114) + sqrt(114))/sqrt(6).
4*sqrt(19)
Simplify -4 + 3 + (-3*sqrt(1700))**2.
15299
Simplify 2 + (sqrt(176) - (sqrt(176) - (-1 + sqrt(176) + sqrt(176))**2)) + -1.
-16*sqrt(11) + 706
Simplify sqrt(147)*-2 - 4*sqrt(147).
-42*sqrt(3)
Simplify sqrt(17) + (sqrt(17) - (4 + sqrt(17)*1)) - (sqrt(17)*2 + 4).
-8 - sqrt(17)
Simplify sqrt(605) + 0 + sqrt(605) + 0.
22*sqrt(5)
Simplify ((sqrt(170)/sqrt(5))/sqrt(2) + sqrt(17) - sqrt(187)/sqrt(44))**2.
153/4
Simplify (1 + sqrt(5) + 1 - (0 + 1*sqrt(5)))**2.
4
Simplify sqrt(147)*-4*-3.
84*sqrt(3)
Simplify (sqrt(2) - (sqrt(50)*2)**2) + -5.
-205 + sqrt(2)
Simplify 0 + 5 + (sqrt(5)*-1)**2.
10
Simplify sqrt(1539) + 1 + 5.
6 + 9*sqrt(19)
Simplify (sqrt(2) - (sqrt(162)*-1)**2) + (sqrt(2)*-1 + -2)**2.
-156 + 5*sqrt(2)
Simplify ((sqrt(504)/sqrt(32))/sqrt(9))**2.
7/4
Simplify 0 + -2*sqrt(1088) - (sqrt(1088) + 0 + sqrt(1088))*-6.
80*sqrt(17)
Simplify 5 + (sqrt(448) + 2 + 3)**2.
80*sqrt(7) + 478
Simplify -3*sqrt(5)*-2*-4*-5.
120*sqrt(5)
Simplify -4*sqrt(160)/sqrt(5).
-16*sqrt(2)
Simplify (sqrt(132)/(-1*sqrt(4)))/(sqrt(3) - (sqrt(108)*-2 - sqrt(108))).
-sqrt(11)/19
Simplify (-2*sqrt(80) - sqrt(80)) + (1 + sqrt(245) - sqrt(5)) + 1.
-6*sqrt(5) + 2
Simplify ((sqrt(13) - (sqrt(13) + -3)) + 4)**2*1.
49
Simplify (-2 + sqrt(18)/(1*sqrt(9)))**2.
-4*sqrt(2) + 6
Simplify -6*(-1*(sqrt(5) + -1) - (sqrt(5) - (sqrt(45) + 5))**2).
264 + 126*sqrt(5)
Simplify (sqrt(15)/(1*sqrt(108) + sqrt(108)))**2 - -1*((sqrt(500) + 1 + sqrt(500))**2 - sqrt(5)).
39*sqrt(5) + 288149/144
Simplify sqrt(1331)*-2*-4.
88*sqrt(11)
Simplify -6*((4*sqrt(880))/sqrt(5))**2*6.
-101376
Simplify (sqrt(102)*-3*-6)/sqrt(6).
18*sqrt(17)
Simplify (sqrt(704) - (sqrt(704) - (sqrt(704) - (sqrt(704) + 2)**2)))*-2.
48*sqrt(11) + 1416
Simplify ((sqrt(176)*2)/sqrt(8))/(3*sqrt(11)*-6).
-sqrt(2)/9
Simplify -5 + -4*(sqrt(50)/(sqrt(10)*-2) - sqrt(5) - sqrt(5) - sqrt(5)).
-5 + 14*sqrt(5)
Simplify 6*-1*(-3 + sqrt(405) + sqrt(405)*-1 + sqrt(405))**2.
-2484 + 324*sqrt(5)
Simplify (2 + sqrt(539) + 4)**2.
84*sqrt(11) + 575
Simplify sqrt(52)/sqrt(4)*5 + sqrt(91)/sqrt(7)*6.
11*sqrt(13)
Simplify sqrt(77)/(sqrt(11) + (sqrt(121) + sqrt(121)*3)/sqrt(11)).
sqrt(7)/5
Simplify 4*(sqrt(891) + -2*sqrt(891)*4)**2.
174636
Simplify sqrt(4032)*-1.
-24*sqrt(7)
Simplify -4*(sqrt(36)/(sqrt(96)/sqrt(8)) + -5).
-4*sqrt(3) + 20
Simplify (sqrt(35) - sqrt(210)/sqrt(24))/(sqrt(7) - (sqrt(7) + sqrt(1008)*2 + sqrt(7) + sqrt(7))).
-sqrt(5)/52
Simplify 0 + (4*sqrt(28))**2 + ((sqrt(7) + 0)*1 - sqrt(7)).
448
Simplify (-5*(sqrt(1900) + -2)*-4)**2.
-16000*sqrt(19) + 761600
Simplify 1*((sqrt(12) - (-1 + sqrt(12))) + sqrt(3) - sqrt(3)).
1
Simplify -4 + (sqrt(700) + 0)**2.
696
Simplify -6*(-2*sqrt(450)*-1)/sqrt(10).
-36*sqrt(5)
Simplify (-2*sqrt(68)*-2 + sqrt(68))/sqrt(4).
5*sqrt(17)
Simplify (2*sqrt(4)*6)/((sqrt(4)*1)/sqrt(2)).
12*sqrt(2)
Simplify ((sqrt(170) + 2*sqrt(170))*-2 + sqrt(170))/((sqrt(10) + sqrt(90))*-2).
5*sqrt(17)/8
Simplify (sqrt(91) + 1*sqrt(91)*4 - sqrt(91))/(sqrt(7) + 2*sqrt(847)).
4*sqrt(13)/23
Simplify (-5*(sqrt(13) - sqrt(1300)*-1))**2.
39325
Simplify -2*((-3*sqrt(70))/sqrt(10) + sqrt(7) + (sqrt(35) + sqrt(35)*-2 + sqrt(35))/sqrt(5)).
4*sqrt(7)
Simplify sqrt(26)/(sqrt(162) + (sqrt(162)*-3 + sqrt(162) - sqrt(162)) + sqrt(162)).
-sqrt(13)/9
Simplify (sqrt(114) + (sqrt(114) - (-3*2*sqrt(114) + sqrt(114))))/sqrt(6).
7*sqrt(19)
Simplify sqrt(612) + 0 + -3.
-3 + 6*sqrt(17)
Simplify (sqrt(1224) - 1*sqrt(1224))/sqrt(2).
0
Simplify 2 + sqrt(98) + 5.
7 + 7*sqrt(2)
Simplify ((-4*sqrt(10))/sqrt(5) + -2)**2.
16*sqrt(2) + 36
Simplify ((sqrt(99)*-2 - sqrt(99)) + sqrt(99))/sqrt(9) + sqrt(11) + (-2*sqrt(110))/sqrt(10).
-3*sqrt(11)
Simplify -3*(sqrt(325) + 1)*-1*1.
3 + 15*sqrt(13)
Simplify (sqrt(242) + 0 - sqrt(2) - sqrt(50)*-1)**2.
450
Simplify (sqrt(198)/(3*sqrt(6)))/(sqrt(9)/(sqrt(15)/sqrt(5))).
sqrt(11)/3
Simplify -6*((-4*sqrt(150)/sqrt(5) + sqrt(30))/sqrt(10))**2.
-162
Simplify sqrt(1900)*-2 + -3 + -1.
-20*sqrt(19) - 4
Simplify 4 + ((1 + sqrt(11))*2)**2.
8*sqrt(11) + 52
Simplify ((sqrt(320) - (sqrt(320) + 1)) + 2 + 0 + sqrt(320) + -4)**2.
-48*sqrt(5) + 329
Simplify -3*(-2*(sqrt(85) + 2*sqrt(85)))/(sqrt(40)/(2*sqrt(8))).
36*sqrt(17)
Simplify 2 + ((sqrt(2736) + -3*sqrt(2736))**2 - sqrt(2736)).
-12*sqrt(19) + 10946
Simplify (sqrt(114)/(sqrt(12)/(sqrt(6)/sqrt(3))))**2 - (sqrt(57)/(sqrt(432) - sqrt(432)*2 - sqrt(432)))**2.
10925/576
Simplify sqrt(304)*1 + (sqrt(152)*-2 + sqrt(152))/sqrt(8).
3*sqrt(19)
Simplify sqrt(40)/((sqrt(200) + sqrt(8))*-4).
-sqrt(5)/24
Simplify -5*sqrt(252) + -2.
-30*sqrt(7) - 2
Simplify (2*sqrt(156)*-3)/(sqrt(12) + (sqrt(300) - sqrt(300)*-2)).
-3*sqrt(13)/8
Simplify (sqrt(153) + 0)**2 + 3.
156
Simplify ((sqrt(66) - -4*sqrt(66))/sqrt(6)*-2*-4)**2.
17600
Simplify (sqrt(343) - 1*sqrt(343)*-4)**2.
8575
Simplify ((sqrt(735)*2)/(sqrt(5) + (sqrt(25) + sqrt(25) + (sqrt(100)/sqrt(4) - sqrt(25)))/sqrt(5)))**2.
196/3
Simplify (-5*(sqrt(704)*1 + sqrt(704))*3)**2.
633600
Simplify ((-1*sqrt(200))/sqrt(8) + sqrt(25))/(4*-3*sqrt(5)).
0
Simplify 2 + sqrt(42)/sqrt(6) + -4.
-2 + sqrt(7)
Simplify 2 + sqrt(1008) + 5.
7 + 12*sqrt(7)
Simplify (6*(2 + sqrt(325))*1)**2.
720*sqrt(13) + 11844
Simplify -3*2*sqrt(1331).
-66*sqrt(11)
Simplify (sqrt(627)/(sqrt(22)/sqrt(2) - sqrt(11) - sqrt(11)))/sqrt(3).
-sqrt(19)
Simplify (sqrt(34)/sqrt(2)*6 - sqrt(272)*3) + 5.
-6*sqrt(17) + 5
Simplify (4*(sqrt(68) + 1 + 3 + 3))**2.
448*sqrt(17) + 1872
Simplify (sqrt(39)/sqrt(3) + 2 - sqrt(13))**2 + 4*(sqrt(13) + 1).
8 + 4*sqrt(13)
Simplify sqrt(132)/(1*sqrt(12)*-3)*-5*-4.
-20*sqrt(11)/3
Simplify -5*(sqrt(243) + 0 + sqrt(243) + (sqrt(15)*-1 + sqrt(15))/sqrt(5))**2.
-4860
Simplify 3 + sqrt(34)/sqrt(18).
sqrt(17)/3 + 3
Simplify (sqrt(2592)*1)/sqrt(6).
12*sqrt(3)
Simplify (sqrt(1792) - -2*sqrt(1792))/sqrt(4).
24*sqrt(7)
Simplify (sqrt(425) + 0 + -2 + -5)**2.
-70*sqrt(17) + 474
Simplify -2*(((sqrt(17) - sqrt(17)*-1)*-4)**2 + 1).
-2178
Simplify (-3 + sqrt(1008) + -3)**2.
-144*sqrt(7) + 1044
Simplify (2*-5*(sqrt(720) - 2*sqrt(720))*-4)**2.
1152000
Simplify (sqrt(405) + 4)*-5.
-45*sqrt(5) - 20
Simplify 2 + | {
"pile_set_name": "DM Mathematics"
} |
756 a multiple of 72?
False
Does 83 divide 63861860?
True
Is 12471332 a multiple of 181?
False
Does 31 divide 170883444?
False
Is 1611792071 a multiple of 15?
False
Is 39 a factor of 5846022?
True
Is 71 a factor of 7139656?
False
Is 4189 a factor of 490586357?
True
Is 253 a factor of 1767839524?
True
Does 8 divide 1156266872?
True
Is 807101 a multiple of 102?
False
Does 6 divide 18269196?
True
Is 603 a factor of 266831976?
False
Does 147 divide 246076089?
True
Is 133 a factor of 6821969?
True
Does 10 divide 15462390?
True
Does 47 divide 13222980?
True
Does 3916 divide 92742628?
True
Is 116994306 a multiple of 6?
True
Is 30 a factor of 5254063920?
True
Is 56 a factor of 291499626?
False
Does 6 divide 152141622?
True
Does 401 divide 916406904?
True
Does 49 divide 315633745?
True
Does 40 divide 135868066?
False
Is 19 a factor of 4314007?
True
Is 600 a factor of 3160516618?
False
Does 1353 divide 592125998?
False
Is 374786012 a multiple of 391?
True
Is 5783525 a multiple of 55?
True
Is 14 a factor of 24852660?
True
Is 31299427 a multiple of 57?
False
Does 116 divide 179205884?
False
Is 1101772246 a multiple of 9?
False
Does 312 divide 3409939805?
False
Is 774259488 a multiple of 537?
True
Is 15314072 even?
True
Does 499 divide 14411619?
True
Is 46137856 a multiple of 351?
False
Is 9063462 a multiple of 4?
False
Is 2265 a factor of 578619165?
True
Does 31 divide 693509215?
True
Does 896 divide 106601217?
False
Does 14 divide 72360442?
True
Is 73 a factor of 868026201?
False
Is 33253200 a multiple of 185?
False
Does 11 divide 118617455?
True
Does 19 divide 415987387?
True
Is 228 a factor of 40146468?
True
Is 66896854 a multiple of 7?
False
Does 12 divide 463924084?
False
Is 3857 a factor of 107320880?
False
Is 1441959533 a multiple of 222?
False
Does 8 divide 41010984?
True
Is 149565600 a multiple of 800?
True
Does 133 divide 58454799?
False
Does 325 divide 118428388?
False
Is 115119140 a multiple of 4250?
False
Does 11 divide 568014502?
True
Does 81 divide 93523090?
False
Is 267964995 a multiple of 119?
False
Is 119 a factor of 48908524?
True
Is 46124208 a multiple of 2808?
True
Does 49 divide 16727669?
True
Does 2206 divide 12465900?
False
Is 403 a factor of 1244730824?
False
Is 102383721 even?
False
Is 1397 a factor of 1364778414?
False
Is 50 a factor of 836590593?
False
Is 236673912 a multiple of 28?
False
Is 39790835 a multiple of 105?
False
Is 432468 a multiple of 9?
True
Does 17 divide 86957?
False
Does 34 divide 195840306?
True
Does 29 divide 308481562?
False
Is 250 a factor of 30034250?
True
Is 263623690 a multiple of 338?
False
Does 396 divide 61657572?
False
Is 1199 a factor of 42960091?
False
Is 227096932 a multiple of 263?
False
Does 233 divide 42984306?
True
Does 11 divide 3268749?
True
Does 478 divide 296392504?
True
Is 524065302 a multiple of 1731?
False
Is 2 a factor of 146120941?
False
Does 1407 divide 4410945?
True
Is 170589296 a multiple of 944?
True
Is 6919539 a multiple of 38?
False
Does 5 divide 76776774?
False
Is 33 a factor of 243333255?
True
Is 750 a factor of 48180336?
False
Is 4204 a factor of 2694133400?
True
Does 3 divide 20928519?
True
Does 5551 divide 2607981922?
True
Is 6917 a factor of 191542516?
False
Does 14263 divide 4023711136?
False
Is 16 a factor of 177059472?
True
Does 44 divide 4135449?
False
Is 14 a factor of 63903947?
False
Does 67 divide 58550161?
True
Does 175 divide 692705068?
False
Does 156 divide 68288098?
False
Is 373370121 a multiple of 2?
False
Is 40453868 a multiple of 206?
True
Does 6191 divide 596552378?
True
Is 19 a factor of 71628610?
False
Is 430347532 a multiple of 12?
False
Does 20 divide 55865410?
False
Is 150 a factor of 8919261?
False
Is 283609322 a multiple of 95?
False
Is 26 a factor of 630365276?
False
Is 1517852460 a multiple of 1409?
False
Is 695 a factor of 1288511235?
True
Is 75 a factor of 293298000?
True
Is 9774624 a multiple of 464?
True
Is 12 a factor of 1213570608?
True
Does 27 divide 27982962?
True
Is 6 a factor of 48872395?
False
Is 2218518755 a multiple of 447?
False
Is 2231 a factor of 67197720?
True
Does 182 divide 73382380?
False
Is 24 a factor of 198327528?
True
Does 21 divide 41179721?
False
Does 9 divide 1473645807?
True
Is 23 a factor of 3238423?
True
Does 12 divide 61669908?
True
Does 12 divide 6657476?
False
Is 13 a factor of 35309366?
False
Does 431 divide 29874765?
True
Is 482 a factor of 791120256?
False
Is 1219278618 a multiple of 18?
True
Is 16 a factor of 864694906?
False
Does 27 divide 4549782610?
False
Is 6700830 a multiple of 10?
True
Is 18800787 a multiple of 894?
False
Is 74647085 a multiple of 389?
False
Is 101 a factor of 57570169?
False
Is 124599210 a multiple of 1830?
True
Does 1324 divide 508404084?
True
Is 374538879 a multiple of 143?
True
Is 20 a factor of 125623350?
False
Is 57 a factor of 552701085?
False
Is 135338680 a multiple of 357?
False
Does 85 divide 134543440?
True
Does 105 divide 4089449435?
False
Is 346545646 a multiple of 1169?
False
Does 477 divide 694013535?
True
Does 70 divide 1759342060?
True
Does 412 divide 65679604?
False
Does 628 divide 355129189?
False
Is 52 a factor of 144864109?
False
Does 1163 divide 778402170?
False
Is 25 a factor of 24237764?
False
Does 4 divide 50929291?
False
Is 156501891 a multiple of 21?
True
Is 18071921 a multiple of 427?
True
Is 28 a factor of 68152336?
True
Is 27 a factor of 538161921?
True
Is 354952228 a multiple of 268?
False
Is 20445919 a multiple of 61?
True
Does 133 divide 9004898?
True
Is 14101022 a multiple of 26?
True
Is 30580469 a multiple of 29?
False
Does 205 divide 18323105?
True
Is 64991681 a multiple of 251?
True
Is 285780552 a multiple of 2566?
True
Does 170 divide 292160300?
True
Is 81030266 a multiple of 226?
True
Is 2 a factor of 1654905?
False
Does 34 divide 1977182008?
True
Is 1865416204 a multiple of 113?
True
Is 25 a factor of 6488013?
False
Is 95273166 a multiple of 218?
False
Is 750 a factor of 31228410?
False
Does 12 divide 45022643?
False
Is 210149712 a multiple of 1656?
True
Is 331753829 a multiple of 227?
False
Is 17787714 a multiple of 94?
True
Is 4 a factor of 18434116?
True
Is 648349054 a multiple of 4?
False
Is 1418 a factor of 294409414?
True
Does 133 divide 281800307?
False
Does 20 divide 21846700?
True
Is 44 a factor of 611353257?
False
Is 975 a factor of 444690675?
True
Is 129485 a multiple of 145?
True
Is 88 a factor of 42528024?
True
Is 43 a factor of 65302906?
False
Does 2940 divide 1477273560?
True
Is 43353039 a multiple of 5?
False
Is 43090540 a multiple of 8?
False
Is 7609041 a multiple of 9?
True
Does 188 divide 2755432241?
False
Is 685995631 a multiple of 23?
True
Is 25 a factor of 46035275?
True
Is 65 a factor of 3636461?
False
Is 175 a factor of 41347728?
False
Is 31 a factor of 81703476?
True
Does 913 divide 1737543704?
False
Is 222 a factor of 255195763?
False
Does 37 divide 11649931?
True
Is 116 a factor of 23055696?
True
Does 573 divide 732523226?
False
Is 27 a factor of 1318863946?
False
Does 2129 divide 249265449?
True
Is 271389170 a multiple of 82?
False
Is 47 a factor of 139410374?
False
Is 37013994 a multiple of 9?
True
Does 191 divide 970862741?
True
Is 49 a factor of 16420032?
False
Does 1326 divide 6709560?
True
Is 7 a factor of 12154881?
False
Is 123558140 a multiple of 7?
False
Does 3081 divide 105356236?
False
Is 221173738 a multiple of 21?
False
Is 228259200 a multiple of 640?
True
Is 2333240372 a multiple of 1980?
False
Is 132098844 a multiple of 112?
False
Does 53 divide 514781315?
True
Does 61 divide 2440558621?
False
Does 50 divide 824688011?
False
Is 1085172992 a multiple of 2432?
True
Does 81 divide 50863059?
True
Is 738271200 a multiple of 20?
True
Is 150924781 even?
False
Is 2429603 a multiple of 37?
False
Does 91 divide 107135847?
True
Is 407 a factor of 100416101?
False
Is 530 a factor of 80597230?
False
Does 5 divide 57054520?
True
Is 15 a factor of 476517309?
False
Is 71215714 a multiple of 11?
False
Is 41 a factor of 448095314?
True
Does 4506 divide 302749128?
True
Does 68 divide 15031468?
True
Is 13 a factor of 4280779?
False
Does 184 divide 63106150?
False
Does 1692 divide 17199434?
False
Is 2 a factor of 24879814?
True
Does 44 divide 205360260?
False
Is 89648940 a multiple of 1670?
True
Does 333 divide 2055555491?
F | {
"pile_set_name": "DM Mathematics"
} |
a multiple of 98?
True
Does 1359 divide 903284339?
False
Does 18 divide 207799596?
True
Is 581058540 a multiple of 12?
True
Does 72 divide 45626400?
True
Is 5 a factor of 225373189?
False
Is 21355646 a multiple of 34?
False
Does 12 divide 109610472?
True
Does 1241 divide 79976245?
True
Does 493 divide 4558837?
False
Does 571 divide 1668990746?
True
Does 5 divide 23197218?
False
Is 363 a factor of 102891532?
False
Is 167816303 a multiple of 376?
False
Does 5 divide 1404505?
True
Does 1873 divide 332132445?
False
Is 86553910 a multiple of 563?
False
Is 71000324 a multiple of 1348?
False
Is 113 a factor of 1432220269?
False
Is 44434773 a multiple of 199?
False
Is 86953888 a multiple of 791?
False
Is 100012662 a multiple of 956?
False
Does 10 divide 17727830?
True
Is 118935852 a multiple of 5886?
False
Is 2435 a factor of 24324701?
False
Is 2847 a factor of 4908703449?
True
Does 41 divide 38712769?
False
Is 13527402 a multiple of 177?
True
Is 14904428 a multiple of 1078?
True
Is 1338749527 a multiple of 28?
False
Does 394 divide 5713000?
True
Does 114 divide 5509278?
True
Does 83 divide 181226937?
False
Is 19 a factor of 173609697?
False
Does 44 divide 182649701?
False
Is 77 a factor of 36077777?
False
Is 15059678 a multiple of 24?
False
Is 50 a factor of 12215850?
True
Is 510825264 a multiple of 2988?
False
Does 10 divide 252371397?
False
Is 1860198700 a multiple of 50?
True
Does 1234 divide 670581514?
True
Does 100 divide 2696803000?
True
Does 14 divide 1951165385?
False
Does 13 divide 24065234?
False
Does 1375 divide 2747974625?
True
Is 42709950 a multiple of 25?
True
Does 2505 divide 615110362?
False
Does 28 divide 12732076?
True
Is 46074712 a multiple of 19?
False
Does 110 divide 1220018231?
False
Is 3201752136 a multiple of 6459?
True
Does 13 divide 1495865943?
True
Is 2035518 a multiple of 9?
False
Is 182 a factor of 75459675?
False
Is 83 a factor of 6917936143?
False
Does 57 divide 15629172?
True
Is 17248149 a multiple of 79?
True
Is 3977 a factor of 757312271?
True
Is 5468 a factor of 5300441602?
False
Is 310 a factor of 7113260?
True
Is 1231117907 a multiple of 35?
False
Does 359 divide 2543143476?
False
Is 60 a factor of 1792260?
True
Is 63795884 a multiple of 650?
False
Is 1105214 a multiple of 549?
False
Is 61532280 a multiple of 18?
True
Is 53549537 a multiple of 1835?
False
Does 14 divide 1544342240?
True
Does 49 divide 1493123152?
False
Is 35034160 a multiple of 28?
True
Is 89 a factor of 784018711?
True
Is 1062 a factor of 3130951230?
True
Does 406 divide 20824146?
True
Does 1383 divide 1898443680?
False
Is 9 a factor of 90652194?
True
Is 2899 a factor of 1784775148?
True
Is 7 a factor of 54422774?
True
Is 9717120 a multiple of 32?
True
Does 32 divide 133231232?
True
Is 164303498 a multiple of 1350?
False
Is 368735564 a multiple of 17?
False
Does 576 divide 5032268?
False
Does 3 divide 123961041?
True
Is 12111260 a multiple of 35?
True
Is 81213745 a multiple of 2713?
False
Is 137013166 a multiple of 17?
True
Is 154 a factor of 59069068?
False
Is 15998065 a multiple of 266?
False
Is 1567 a factor of 777567915?
False
Is 2007306654 a multiple of 51?
True
Does 8 divide 42167144?
True
Does 352 divide 190133583?
False
Does 106 divide 7085636?
False
Is 108924400 a multiple of 25?
True
Is 447 a factor of 78483350?
False
Is 1396 a factor of 700483484?
True
Is 31151462 a multiple of 257?
False
Does 89 divide 12171511?
False
Does 93 divide 89975375?
False
Does 20 divide 1251963880?
True
Is 44108731 a multiple of 14?
False
Is 1890739402 a multiple of 61?
False
Is 94 a factor of 62280828?
True
Is 1636 a factor of 28192435?
False
Is 15 a factor of 459094335?
True
Is 30140245 a multiple of 437?
False
Is 5155 a factor of 305798297?
False
Is 16 a factor of 22260272?
True
Is 25141458 a multiple of 10?
False
Is 7 a factor of 5044716?
False
Is 116 a factor of 225842751?
False
Does 245 divide 532247800?
True
Is 25904900 a multiple of 805?
True
Is 97880903 a multiple of 1671?
False
Is 37 a factor of 23952818?
False
Does 11 divide 296965536?
False
Is 55112873 a multiple of 268?
False
Is 34 a factor of 16448350?
True
Is 32766888 a multiple of 1617?
True
Does 141 divide 465014757?
True
Is 139 a factor of 945211624?
False
Is 7589880 a multiple of 3?
True
Does 521 divide 867184315?
False
Is 19 a factor of 149557778?
True
Does 16 divide 150191008?
True
Does 4 divide 278204243?
False
Is 10611 a factor of 770642305?
False
Is 337891627 a multiple of 61?
True
Does 121 divide 726494285?
True
Is 2422861947 a multiple of 20?
False
Is 318613309 a multiple of 61?
True
Does 260 divide 755358240?
True
Is 225 a factor of 24857550?
True
Is 63 a factor of 221892804?
True
Is 74836656 a multiple of 108?
True
Does 636 divide 51664811?
False
Does 110 divide 177128270?
True
Is 6485184 a multiple of 86?
False
Is 7265304 a multiple of 8?
True
Is 1112267829 a multiple of 1012?
False
Does 376 divide 2160444488?
True
Is 583490 a multiple of 126?
False
Does 9 divide 1348866?
True
Is 17 a factor of 86481805?
True
Is 15 a factor of 139762590?
True
Is 8 a factor of 114201912?
True
Does 862 divide 1713001337?
False
Is 46 a factor of 7553033434?
True
Is 133 a factor of 69734390?
False
Is 3 a factor of 6958288?
False
Is 66 a factor of 438509676?
True
Is 153 a factor of 18088425?
True
Is 26683822 a multiple of 7?
False
Is 277810575 a multiple of 1799?
True
Is 582 a factor of 72680160?
True
Does 953 divide 153571185?
True
Is 7805814 a multiple of 339?
True
Does 150 divide 1248501345?
False
Is 3650 a factor of 248831450?
True
Is 156742717 a multiple of 595?
False
Is 141914123 a multiple of 1733?
False
Does 69 divide 28773507?
False
Is 22476777 a multiple of 15?
False
Does 59 divide 13697971?
True
Is 3 a factor of 12968778?
True
Does 881 divide 7671787?
False
Is 2167344 a multiple of 8?
True
Is 105275482 a multiple of 26?
True
Does 5116 divide 303803428?
True
Is 14 a factor of 79736104?
True
Is 742 a factor of 22826146?
True
Does 44 divide 48163408?
False
Is 3 a factor of 7771788?
True
Is 54300435 a multiple of 2643?
True
Is 51 a factor of 969814602?
False
Is 3142925149 a multiple of 105?
False
Is 34618798 a multiple of 19?
True
Is 78055115 a multiple of 25?
False
Is 363 a factor of 587104892?
False
Is 29789292 a multiple of 52?
True
Is 35188720 a multiple of 35?
True
Does 228 divide 28435020?
True
Is 2200780022 a multiple of 10?
False
Is 16 a factor of 298133779?
False
Is 392 a factor of 165816?
True
Does 35 divide 733800655?
True
Does 465 divide 129561934?
False
Is 21 a factor of 872279625?
True
Is 5363308 a multiple of 304?
False
Does 64 divide 51597632?
True
Is 40 a factor of 34533320?
True
Does 7 divide 1148185184?
False
Does 113 divide 214455608?
False
Is 79435448 a multiple of 40?
False
Is 8 a factor of 218904520?
True
Is 43 a factor of 195659503?
True
Is 32085734 a multiple of 74?
True
Is 124 a factor of 37673556?
True
Does 222 divide 442750140?
True
Does 27 divide 30055207?
False
Does 11 divide 649868401?
False
Is 80 a factor of 525571157?
False
Is 5 a factor of 78037459?
False
Does 412 divide 943611016?
True
Is 1144585321 a multiple of 598?
False
Does 59 divide 181412787?
True
Is 6741240 a multiple of 5?
True
Is 317 a factor of 274887184?
True
Is 418178003 a multiple of 1777?
False
Is 2253409006 a multiple of 458?
True
Is 50 a factor of 40609250?
True
Is 195 a factor of 42571035?
True
Does 121 divide 21515978?
True
Does 63 divide 4534326405?
True
Is 164 a factor of 73437396?
True
Is 294 a factor of 26519388?
True
Does 2624 divide 1302760896?
True
Is 596268827 a multiple of 11?
True
Is 20995714 a multiple of 34?
True
Does 364 divide 19397676?
False
Does 2789 divide 40250848?
True
Does 3441 divide 158587475?
False
Does 82 divide 60988721?
False
Is 826 a factor of 624777314?
True
Is 2052 a factor of 205799184?
True
Does 2518 divide 481761469?
False
Is 31006303 a multiple of 16?
False
Does 16 divide 202653200?
True
Does 31 divide 251057915?
False
Does 3655 divide 152347710?
True
Does 857 divide 22464716?
False
Is 445 a factor of 4191718885?
True
Is 91 a factor of 342777453?
False
Is 25883316 a multiple of 17?
True
Is 428 a factor of 38205848?
True
Is 716 a factor of 440446684?
True
Does 120 divide 1198915440?
True
Does 21 divide 22688505?
True
Is 466 a factor of 1788399422?
True
I | {
"pile_set_name": "DM Mathematics"
} |
+ 0*b + 1/120*b**5 - 1/224*b**8. Factor z(r).
-r**2*(r - 1)**2*(3*r - 1)/2
Let s(i) be the second derivative of 7*i**4/6 + 7*i**3/3 - 2*i. Let d(u) = -5*u**2 - 5*u. Let w be (1 - 14/8)*4. Let g(v) = w*s(v) - 8*d(v). Factor g(j).
-2*j*(j + 1)
Let f(s) be the first derivative of -1/7*s**2 + 1/35*s**5 + 1/14*s**4 + 0*s - 1/21*s**3 + 6. Let f(m) = 0. Calculate m.
-2, -1, 0, 1
Let q(m) = -3*m**4 - 10*m**3 - 12*m**2 - 2*m - 2. Let o(t) = -39*t**4 - 129*t**3 - 156*t**2 - 27*t - 27. Let n(c) = 2*o(c) - 27*q(c). Factor n(x).
3*x**2*(x + 2)**2
Let i(j) be the second derivative of 1/8*j**3 - 1/48*j**4 + 0 - 1/4*j**2 - j. Let i(d) = 0. Calculate d.
1, 2
Suppose 0*h**2 - 3 + 9 - h**2 - 2 = 0. What is h?
-2, 2
Let c = 1372/845 - 4/169. Factor -2/5*h**2 - 8/5 - c*h.
-2*(h + 2)**2/5
Suppose -2*t + c + 20 = -c, -4*c = -20. Let a be 8/(-14)*(-35)/t. Factor 4/3*u - 1/3*u**2 - a.
-(u - 2)**2/3
Suppose -80*w**2 + 35*w**3 + 20*w + 110 - 110 = 0. What is w?
0, 2/7, 2
Suppose -k + 12 = 3*j, -3*k - j + 4 = -0*j. Factor 7*n + k - 3*n + 2 + 2*n**2.
2*(n + 1)**2
Let a(b) be the second derivative of 0 - 2/15*b**5 - 20/9*b**3 - 4/3*b**2 + 2*b - 17/18*b**4. Solve a(t) = 0 for t.
-2, -1/4
Let n(g) be the second derivative of -g**5/50 + g**4/10 - 2*g**3/15 - 2*g. What is l in n(l) = 0?
0, 1, 2
Let w(n) = 6*n**2 - 34*n - 12. Let o be w(6). Let f(m) be the first derivative of -2/9*m**3 + 2/15*m**5 + 0*m**2 - 3 + 1/9*m**6 + o*m - 1/6*m**4. Factor f(u).
2*u**2*(u - 1)*(u + 1)**2/3
Factor 2/3 + 1/3*n - 1/3*n**2.
-(n - 2)*(n + 1)/3
Suppose -h = 7*s - 2*s - 28, -4*h + 188 = s. Factor -2*w**5 - 2*w**4 - 48*w + h*w.
-2*w**4*(w + 1)
Let a(z) = z**3 - 3*z**2 - 3*z - 2. Let x be a(4). Factor 0*y - 5*y + 13*y - 4*y**3 + 4*y**x.
-4*y*(y - 2)*(y + 1)
Let y = -15 + 15. Factor 3/5*t**2 - 3/5*t**4 + y + 2/5*t - 2/5*t**3.
-t*(t - 1)*(t + 1)*(3*t + 2)/5
Let k be 2/8 + (-25081)/196. Let g = k + 128. Factor g*v**2 + 8/7*v + 8/7.
2*(v + 2)**2/7
Let r(x) be the first derivative of -x**6/39 + 6*x**5/65 - x**4/13 - 4*x**3/39 + 3*x**2/13 - 2*x/13 + 3. Factor r(g).
-2*(g - 1)**4*(g + 1)/13
Let q(o) = -3*o**4 + 7*o**3 + 7*o**2 - 3*o + 4. Let v(k) = -3*k**4 + 6*k**3 + 6*k**2 - 3*k + 3. Let d(x) = 3*q(x) - 4*v(x). Suppose d(f) = 0. What is f?
-1, 0, 1
Let y = 26 - 22. Let u(j) be the first derivative of 1/5*j**5 - 1 + 0*j**2 + j - 2/3*j**3 + 0*j**y. Let u(a) = 0. Calculate a.
-1, 1
Let s(w) be the first derivative of 0*w + 3/14*w**4 + 2/21*w**3 + 2 + 0*w**2. Factor s(q).
2*q**2*(3*q + 1)/7
Suppose 0 - 1/4*m**3 + 1/4*m**4 - 1/4*m**2 + 1/4*m = 0. Calculate m.
-1, 0, 1
Let u(f) = -f**2 + f - 1. Let l(r) = -5*r**2 - 6. Let m(s) = 5*l(s) - 30*u(s). Suppose m(o) = 0. Calculate o.
0, 6
Let z = -12788/105 - -609/5. Let m(t) be the third derivative of -1/40*t**6 - z*t**7 + 0*t**3 + 1/15*t**5 - t**2 + 0 + 0*t + 1/6*t**4 + 1/336*t**8. Factor m(u).
u*(u - 2)**2*(u + 1)**2
Let j(m) be the third derivative of 0*m - 1/36*m**5 - 1/72*m**6 - 1/252*m**7 - 1/36*m**3 - 5/144*m**4 - 1/2016*m**8 - 4*m**2 + 0. Suppose j(h) = 0. Calculate h.
-1
Solve 11*q**2 - 4 - 12*q**2 + 5 = 0.
-1, 1
Let w(o) be the third derivative of o**6/10 + 4*o**5/15 + o**4/6 - 2*o**2. Solve w(a) = 0 for a.
-1, -1/3, 0
Let d(n) be the second derivative of 0*n**6 - 3/80*n**5 + 1/168*n**7 + 0*n**3 - 1/24*n**4 - 6*n + 0 + 0*n**2. Factor d(y).
y**2*(y - 2)*(y + 1)**2/4
Let y(x) be the first derivative of -3*x**2 + 1 + 2/3*x**3 + 3/2*x**4 - 2*x. Factor y(b).
2*(b - 1)*(b + 1)*(3*b + 1)
Let g(q) be the second derivative of q**5/4 - 5*q**4/2 + 10*q**3 - 20*q**2 - 27*q. Factor g(b).
5*(b - 2)**3
Let h(s) = -3*s**4 + 7*s**3 - 2*s**2 - 2*s + 5. Let o(v) = v**4 - 3*v**3 + v**2 + v - 2. Let b(q) = -2*h(q) - 5*o(q). Solve b(x) = 0 for x.
-1, 0, 1
Suppose -121*m + 118*m = -6. Suppose 1/2 + 3/4*q + 1/4*q**m = 0. What is q?
-2, -1
Suppose -z + 10 = 4*z - 4*v, -5*z = -2*v - 10. Let h = 481/134 + -6/67. Solve 0 - 13/2*k**4 - z*k**5 - h*k**2 - 1/2*k - 15/2*k**3 = 0.
-1, -1/4, 0
Let y(c) be the first derivative of -c**5/90 - c**4/18 - c**3/9 - 2*c**2 + 3. Let n(h) be the second derivative of y(h). Factor n(o).
-2*(o + 1)**2/3
Let v be -1*(2 + -9) - 3. Let n = 17/4 - v. Let 1/4*b**2 + 0 + n*b = 0. Calculate b.
-1, 0
Let h(b) be the third derivative of -b**8/10080 + b**7/1260 - b**6/360 - b**5/20 + 2*b**2. Let t(a) be the third derivative of h(a). Solve t(v) = 0.
1
Let u(j) be the third derivative of -j**8/588 + j**6/210 + 39*j**2. Factor u(z).
-4*z**3*(z - 1)*(z + 1)/7
Let q(r) be the first derivative of r**5/5 - r**4/4 - 12. Factor q(u).
u**3*(u - 1)
Suppose -11 = -3*n + 7. Suppose 5*c + 8 = 4*x, 7*c - 3*x = 2*c - n. Suppose c + 1/3*d**2 - 1/3*d = 0. What is d?
0, 1
Suppose 2*s - 1 = -p, -3*s + 5*p = 2*p - 24. Factor -6*z**3 + 14*z**s - 3*z - 4*z**5 - z.
-4*z*(z - 1)**2*(z + 1)**2
Factor -36*s**2 + 27*s - 2*s**5 + 4*s**4 - 6*s**3 + 5*s**5 + 4*s**4 + 4*s**4.
3*s*(s - 1)**2*(s + 3)**2
Let y(r) be the second derivative of -r + 2/3*r**6 + 11/6*r**4 + 0*r**2 - 19/10*r**5 + 0 - 2/3*r**3. Solve y(s) = 0.
0, 2/5, 1/2, 1
Let l(c) = -c**2 - 3*c + 4. Let q be l(-4). Let o be ((-1 - -1) + -2)*-1. Solve 4/3*k**3 + q + 2/3*k - 2*k**o = 0.
0, 1/2, 1
Suppose 5*o + 21 + 4 = j, 0 = -4*j + 4*o + 20. Find c such that 0 - 2*c - 7*c**2 + j*c + 0 = 0.
-2/7, 0
Let a(j) be the third derivative of -2/5*j**3 + 3/200*j**6 + 1/20*j**5 + 0*j - 1/10*j**4 + 3*j**2 + 0. Factor a(f).
3*(f - 1)*(f + 2)*(3*f + 2)/5
Let j(d) be the first derivative of 4 + 2/27*d**3 - 4/9*d + 1/9*d**2. Factor j(x).
2*(x - 1)*(x + 2)/9
Let i(c) be the first derivative of c**5 - 5*c**4/4 - 5*c**3/3 + 5*c**2/2 - 21. Find g, given that i(g) = 0.
-1, 0, 1
Let o be (-21)/(-4) - 2/8. Suppose g - o + 2 = 0. Suppose -8/3*b - 8/3*b**4 + 2/3 + 8/3*b**g + 2*b**2 = 0. Calculate b.
-1, 1/2, 1
Let g(t) be the third derivative of 0*t + 0*t**5 + 0*t**3 + 1/504*t**8 + t**2 + 0 + 0*t**7 - 1/90*t**6 + 1/36*t**4. Determine f, given that g(f) = 0.
-1, 0, 1
Let i(b) = -8*b**5 - 16*b**4 + 7*b**3 - 7*b**2 + 7. Let c(r) = 4*r**5 + 8*r**4 - 4*r**3 + 4*r**2 - 4. Let n(j) = -7*c(j) - 4*i(j). Factor n(d).
4*d**4*(d + 2)
Let t(c) be the second derivative of -2*c**7/189 - 8*c**6/135 - c**5/9 - 2*c**4/27 + 27*c. Find w such that t(w) = 0.
-2, -1, 0
Let v(h) = 4*h - 3. Let b be v(2). What is f in -2*f + b*f - 3*f**3 + f**4 + 0*f**4 + 3*f**2 - 4*f**4 = 0?
-1, 0, 1
Suppose 15 = 5*o - 2*a, 3*o + a = 5*a - 5. Factor -1/3*t + 0*t**4 + 0 - 1/3*t**o + 0*t**2 + 2/3*t**3.
-t*(t - 1)**2*(t + 1)**2/3
Let b(l) be the first derivative of -2*l**5/5 + 2*l**3/3 - 8. Solve b(a) = 0 for a.
-1, 0, 1
Let y = 7 + -15. Let b be ((-6)/4 - -1)*y. Factor 2/3*i**2 + 0*i - 2/3*i**3 + 2/3*i**5 - 2/3*i**b + 0.
2*i**2*(i - 1)**2*(i + 1)/3
Factor -k**4 + 4*k**4 - 12*k**3 + 2*k**2 + 18*k**3 + 2*k**5 + 3*k**4.
2*k**2*(k + 1)**3
Let r be (50 + -40)/((-1)/(-1) - -1). Suppose 4/11*b**4 + 0*b - 6/11*b**r + 0*b**2 + 2/11*b**3 + 0 = 0. What is b?
-1/3, 0, 1
Let a be (-2)/9 + 102/459. Solve -4/5*m + 0 - 6/5*m**2 + 2/5*m**4 + a*m**3 = 0 for m.
-1, 0, 2
Let i(j) be the third derivative of j**7/35 + j**6/30 - 2*j**5/15 - j**4/6 + j**3/3 - 59*j**2. Let i(g) = 0. What is g?
-1, 1/3, 1
Let g(o) be the first derivative of o**5/10 - o**4/24 - o**3/2 - o**2/4 + o/3 - 31. Factor g(p).
(p - 2)*(p + 1)**2*(3*p - 1)/6
Let p(n) = -4*n**2 - 7*n - 1. Let i(a) = 23*a**2 + 41*a + 7. Let u(h) = -8*h - 1. Let b be u(1). Let d = -15 - b. Let z(j) = d*i(j) - 34*p(j). Factor z(s).
-2*(s + 2)**2
Let n be (6/15)/(2/10). Find c, given that 3*c**4 - 4*c**4 - c**2 + c**3 + n*c**4 - c = 0.
-1, 0, 1
Let g(s) be the first derivative of 24*s**3 + 84*s**4 - 27/2*s**2 - 5 - 6*s. Factor g(q).
3*(4*q + 1)**2*(7*q - 2)
Let o(p) be the second derivative of -p**6/15 + 2*p**5/5 - 5*p**4/6 + 2*p**3/3 - 3*p. Find u such that o(u) = 0.
0, 1, 2
Let u(n) be the third derivative of 0*n - n**2 + 0*n**4 + 0*n**6 + 0 + 0*n**3 + 0*n**5 - 1/315*n**7. Factor u(o).
-2*o**4/3
Let z(v) be the first derivative of 5 + 1/2*v**2 - 2/5*v + 7/15*v**3. Solve z(n) = 0.
-1, 2/7
Suppose -3 - 3 = -3*m. Factor m + n**4 - n**3 + 4*n - 3*n**2 - 5*n + 2*n.
(n - 2)*(n - 1)*(n + 1)**2
Suppose 8*o - 3*o + 13 = -y, -7 = y + 2*o. Let m be y/((-1)/((-18)/(-8))). Suppose -9/4*h - m*h**3 + 27/4*h**2 + 1/4 = 0. What is h?
1/3
Suppose -29*h = -33*h. Let t(l) be the second de | {
"pile_set_name": "DM Mathematics"
} |
ppose 2*h - j = -4*f, -7*h = -2*h + f - 63. Which is greater: h or 12?
h
Suppose 4*u = 3*u + 1. Let x be -4 - -6 - 0/(-3). Is x at most as big as u?
False
Suppose 0 = 6*h - 11*h - m + 102, -h = 4*m - 28. Which is smaller: h or 31?
h
Let l = -42 + 42.002. Let p = l + -1.002. Is 7 > p?
True
Let i(p) = 21*p. Let x be i(1). Let y = x + -22. Is 32/3 greater than y?
True
Let m(t) = t**3 + 9*t**2 + 17*t + 12. Let i be m(-5). Is 29 greater than or equal to i?
True
Let b = 1059/10 + -106. Let p be (18/21)/((-5)/70). Let m be 3/p + 28/(-16). Is m not equal to b?
True
Let h(b) = -b**2 - 15*b - 1. Let v be h(-15). Let l be 141/45 - ((3 - -1) + v). Is l smaller than 2?
True
Let w = 98.26 - -1.74. Let t = -95 + w. Are t and 0.1 unequal?
True
Suppose -35*n + 62*n = -837. Is -30 at most as big as n?
False
Let a be 76/(-129) + (-58)/(-87). Let p = -2512/2451 + a. Is -1 at most as big as p?
True
Let u(t) = 0*t + 2*t + 3 + t - 4*t. Let z be u(7). Let k(i) = -i**3 - 2*i**2 + i. Let s be k(-2). Does s = z?
False
Let z = -1118/9819 - -3/1091. Let r(v) = -v + 6. Let t be r(5). Which is smaller: t or z?
z
Let z = 16 - -21. Let g be (-54)/(0 - 9/6). Which is smaller: g or z?
g
Suppose 2*y = -4*h + 53 + 77, 0 = -h - 5*y + 37. Are 27 and h non-equal?
True
Let i = -132 - -124. Let h = -45 + 34. Which is bigger: i or h?
i
Suppose -37 + 67 = 15*y. Which is smaller: 16/5 or y?
y
Let n be 2/9 + 35440/(-720). Are n and -49 nonequal?
False
Let y = 0.0525 + -5.3525. Is y <= 6?
True
Let u(g) be the third derivative of g**6/360 + g**4/8 + 4*g**2. Let l(v) be the second derivative of u(v). Let k be l(4). Which is greater: 9 or k?
9
Let m = -34 - -43. Let s(y) = 2*y - 19. Let i be s(m). Which is smaller: i or -3/10?
i
Let s be -1*(2 - 174) + 1. Is s greater than or equal to 172?
True
Let x be 4/7*630/(-540). Which is greater: -170/3 or x?
x
Let l = -6.87 - 0.13. Let f = l - 1. Which is smaller: f or -0.2?
f
Let k(p) = 2*p**2 + 17*p + 12. Let x be k(-8). Suppose 2*b = -x*b - 30. Is b greater than or equal to -5?
True
Suppose 5*g - 3*g + v = -5, -v - 5 = 0. Let x be ((-3)/(-9))/(5/(-27)). Is x less than or equal to g?
True
Suppose 3*r + 10 = -107. Let t = r - -46. Let g(v) = -v**3 + 6*v**2 - 4*v + 3. Let n be g(5). Is t equal to n?
False
Let s be 67/(-5 + 12 - 16). Which is bigger: -8 or s?
s
Let r = 38.4 + -33.4. Let z = 2.1 - 2. Is r <= z?
False
Suppose -3*l = 2*d - 56, -6*d + 2*l + 58 = -3*d. Let h(g) = -g + 32. Let v be h(d). Are 10 and v non-equal?
False
Let b be 1 + 28/(-16) + (-714)/(-24). Is b < 28?
False
Let s = -152 + 1978/13. Suppose -2*j - 9 = -13. Suppose -5 = j*b + 5, 0 = -2*y - b - 7. Is y at most as big as s?
True
Let y = -17.7 + 18.03. Is y <= -4?
False
Let a = 0.2 + -0.2. Let r = -23.403 - -23.3. Let t = r - -0.043. Which is smaller: t or a?
t
Let t be 1/(-2) + 117/222. Suppose 4*f - 5*z + 7 = -6*z, -5*f + 5*z + 10 = 0. Is f bigger than t?
False
Suppose -3*z + 25 = -2. Suppose -4*r = 19 - 7. Let b(g) = -g + 6. Let v be b(r). Does z = v?
True
Suppose -3*q + 4*i + 53 = 0, -2*q - q - 2*i + 41 = 0. Suppose w - 18 - q = 0. Suppose -3*o - 4*d + 136 = o, -5*o - 4*d + 168 = 0. Is o at least w?
False
Let l = -1593 + 1587. Which is bigger: 126 or l?
126
Suppose -2*c + 3*t - 522 = -4*c, 0 = 5*c + 3*t - 1296. Let w = c - 7739/30. Suppose -i + 4*i = 0. Which is smaller: w or i?
i
Let m be 1*1/5 + 18463/185. Is 97 smaller than m?
True
Let s = 135 - 79. Let c = 37 - s. Which is bigger: c or -17?
-17
Suppose 20 = -2*j + 4*t, -j - 2*j + 3*t = 15. Let y be (4 + -9 - -4)*j. Which is greater: y or -1/4?
y
Suppose 2*q + 0*k - k = 8, -k = 0. Is q <= 4?
True
Let w = 1105 - 1141. Which is smaller: w or 3?
w
Let l = -686915338/3224235 + -12/153535. Let v be 26 - 30 - (-217 + 0). Let y = l + v. Is y less than 0?
True
Let i = -48.38 + 48. Let k = 0.62 - i. Is k at least 14?
False
Let s(i) = -i**2 - 8*i - 4. Let x be s(-4). Let q = 91 - 71. Let k = q - x. Is 8 bigger than k?
False
Suppose -z = 3*z - 4. Let t = 542/7 + -4273/56. Is z less than t?
True
Let z = -355.4 - -352. Which is smaller: z or 2/9?
z
Let q(c) = -c**2 - 4*c - 2. Let y be q(-3). Let k be (1 - 8/(-4))/y. Suppose 0 = -4*f - 3*r + 52, 4*r + 60 = k*f + r. Is f at least 16?
True
Let t = -5/221 - -1381/2431. Let z = -15.14 + -1.76. Let s = z + 17. Are t and s nonequal?
True
Let p = -1771 + 1771. Let o be 8/36 + (-2)/4. Is o < p?
True
Let p be 0/(0 - (-2)/(-1)). Let c be (p - -2)/(7/14). Let b be (-5)/(-7) - c/(-14). Which is smaller: 3/2 or b?
b
Let d be -13 - (-15)/(90/48). Let a = -3 - 1. Does d = a?
False
Suppose -70 = 5*f + 4*v, -v + 23 = f - 2*f. Let t(k) = 30*k + 4. Let z be t(2). Suppose i + 39 = -i + 5*y, 4*i + z = -4*y. Which is smaller: f or i?
f
Let g = 0.9 + -0.5. Let l = 445.1 - 445. Is l <= g?
True
Let m(z) = -z**3 - 8*z**2 + 7*z - 29. Let j(n) = -7*n**2 + n - 1. Let b be j(-1). Let o be m(b). Which is smaller: o or -9?
o
Suppose 11*x - 858 - 264 = 0. Suppose -36 + 137 = n. Do n and x have different values?
True
Let j = -217 + 219. Is 0.218 equal to j?
False
Suppose -2*k + 45 - 7 = 0. Let a = k - 14. Suppose a*t = -3 - 32. Which is greater: -6 or t?
-6
Suppose 6 + 9 = 5*f. Let n(b) = -b + 4. Let w be n(f). Let v = -4/91 + 167/1729. Is v < w?
True
Let a = -3/80 - 37/80. Let w = a - 29/14. Which is greater: 0.1 or w?
0.1
Suppose 143 = -3*v - d, -2*d + 42 - 34 = 0. Is -49 equal to v?
True
Let r be 2/7 + (-2 - (-255)/(-35)). Is r < 2?
True
Let m be 34*4/24*-3. Let r = m + 16. Which is smaller: -4/5 or r?
r
Let h = 0.7 + 0.3. Let f = 5.8 - 5. Let c = f - -5.2. Which is smaller: h or c?
h
Let k be -35 - -41 - 4314/(-8). Which is smaller: k or 545?
545
Let l(a) = -2*a**2 - 6*a + 7. Let w be l(-6). Are -2/9 and w nonequal?
True
Let x = 9 + -9. Suppose 0 = -a - 3*s + 2*s + 7, -5*a - 2*s + 41 = x. Suppose -3*g + a = -6. Is g < 5?
False
Let c be ((-9)/(-96))/(3/(-24)*-2). Let l = 0 + 1. Is c > l?
False
Let c be -7 + 4 - 2/(4/(-122)). Let v = 146 - c. Is 87 at most as big as v?
True
Let o be (-2)/(-4) - ((-63)/6)/3. Suppose -5*w = 4*i + 11, 4*w + 18 = 2*i + o. Which is greater: -22 or w?
w
Let s be 1 + 0 + 2664/(-32). Let c = 82 + s. Which is smaller: 0.51 or c?
c
Let a be (9/3)/(3/2). Let f = 648 + -651. Is a less than f?
False
Let s = -3.1 - -3. Suppose 159 - 187 = 14*k. Which is bigger: k or s?
s
Suppose 2*v - 76 = 2*q, 4*q + 4*v - 114 + 290 = 0. Let i = q + 119. Is i equal to 78?
True
Let j = -3 - -3. Let g(f) = -4*f**2 + 6*f + 4. Let y be g(5). Let b be ((-16)/y)/((-2)/6). Which is bigger: j or b?
j
Let r = -880880 - -9681591/11. Let z = r - -734. Which is bigger: 0 or z?
0
Let i(y) = -y**3 + 5*y**2 + 20*y - 41. Let s be i(7). Does s = 0?
False
Suppose -69 = -p - 38 - 32. Let b = 31/5445 + 2/121. Is p at least as big as b?
False
Let a = -20643 + 103754/5. Which is smaller: a or 108?
a
Let n = 6 + -12. Suppose -4*h - 10*j + 15*j = 61, -3*j + 6 = h. Are n and h non-equal?
True
Let p = -0.76 - -38.76. Let x = -38.1 + p. Does x = -1.7?
False
Let f be -5 - (0 + 4)/(-4). Let q be (-6)/(-4) - 2/f. Suppose k - 6 = q. Which is bigger: k or 7?
k
Suppose -1147 = -5*i - 3*k, 2*i + 5*k = -0*i + 474. Which is smaller: 229 or i?
i
Let p = -98 + 97. Let w(k) = -k**3 + 8*k**2 - k - 10. Let f be w(7). Let s = 19 - f. Are s and p non-equal?
True
Let l = -458.042 - 0.958. Which is smaller: 1/4 or l?
l
Let v = -245 - -395. Suppose -4*b = v + 118. Are -66 and b equal?
False
Let r = -18 - -22. Suppose 0 = -19*a + 21*a - r. Are a and 1 non-equal?
True
Let t = 2 + -1.9. Let d(i) = i**3 - 14*i**2 - 36*i + 15. Let h be d(16). Let m = -39 - h. Is t at most m?
True
Let v(u) = -u**2 + 6*u - 5. Suppose 7*i = 2*i - 15. Let w be i/(-21) + 68/14. Let f be v(w). Which is smaller: 1 or f?
f
Suppose 4*r - 26 = 22. Let k be (-15)/4*2/(-12)*8. Which is smaller: k or r?
k
Let p(y) = y - 15. Let o be p(5). Let l(g) = 4*g**2 + 4*g + 2. Let z be l(-2). Let m be (-4)/z + (-4)/o. Which is smaller: 1/7 or m?
m
Let p = 2157/5 + -2583/5. Is p less than or equal to -85?
True
Let g(j) = j**3 - 6*j**2 + 17*j - 12. Let d be g(12). Suppose -x - 3*x - d = 0. Let l be 4/(-6) + x/(-72). Do l and 3 have different values?
False
Let v(p) = 4*p**2 - 5*p - p**3 - 5 + 0*p**3 - 4*p**2 - 5*p**2. Let w be v(-4). Which is smaller: -11/6 or w?
-11/6
Let s be 3/(-2 - -5) + 0. Let j be (- | {
"pile_set_name": "DM Mathematics"
} |
mon divisor of 325 and p.
13
Let f(q) = 11*q**2 + 4*q + 63. Let x be f(9). Calculate the highest common divisor of x and 220.
110
Let n(j) = j - 8. Let p be n(18). Let o be 42*(0 - -5)/(p/12). Calculate the greatest common factor of o and 36.
36
Let y(p) = p**3 + 16*p**2 + 2*p + 35. Let b be y(-16). Let j be (28/b)/((-5)/(-45)). What is the greatest common divisor of j and 24?
12
Let y = 77 - 56. Suppose 5 + 1 = 2*q. What is the greatest common factor of q and y?
3
Suppose -3*n = 3 - 12. Let y(b) = 2*b**2 - 90*b + 427. Let a be y(5). What is the greatest common divisor of a and n?
3
Let m = 474 - 270. Calculate the greatest common factor of m and 51.
51
Suppose -15*t = -19*t + 64. Calculate the highest common divisor of t and 56.
8
Suppose 18*b + 6932 = 22*b - 5*m, 0 = b + 2*m - 1720. What is the greatest common divisor of 54 and b?
54
Let y be 4/((8/(-16))/1) + 11. Suppose -3*a - 3*z = a - 96, 2*a - 3*z - 48 = 0. Calculate the highest common factor of a and y.
3
Let n = 1 - -2. Suppose -j + l = -10, 4*l + 5 = n*j - 24. Suppose 2*y + 4*u = 174, -5*y - 4*u = -273 - 198. Calculate the greatest common divisor of j and y.
11
Suppose 2*i - 6*i + 8 = 0. Let s(c) = -c + 2. Let a be s(i). Suppose a = -2*u - 4*b + 4, 3*u + 3*b = 4*u - 7. Calculate the highest common factor of 4 and u.
4
Let p(n) = n**3 - 17*n**2 + 24*n - 20. Suppose 55 - 23 = 2*y. Let s be p(y). Calculate the greatest common factor of s and 162.
54
Let p = -3 + 7. Suppose -10 = 2*z - p*z + 3*n, 3*z + n = 15. Suppose z*u = 36 + 74. Calculate the highest common factor of 11 and u.
11
Let b be (1/4 - 127/(-4)) + 3. Suppose 0 = -4*y + 48 + 8. What is the highest common factor of y and b?
7
Suppose 3*z + 2*z - 35 = -5*r, -5*z = -4*r - 17. Let t be (-17 + 1)/(1 - (-2 + z)). What is the greatest common factor of t and 20?
4
Let n be (-27 + 0)*4/(-6). Suppose 16 = -7*g + 44. Let x be (g*-5)/(1/((-36)/8)). What is the greatest common divisor of n and x?
18
Suppose -h = -247 + 39. Suppose -6*i + h = -2*i. Suppose 0 = -2*y - 2*y + 4*x + i, -2*x + 8 = 0. Calculate the greatest common factor of y and 136.
17
Suppose -12*u + 281 = 53. What is the highest common factor of u and 38?
19
Let j = -371 - -389. What is the greatest common factor of 558 and j?
18
Let f(q) = -2*q**2 + 15*q + 10. Let s be f(7). Suppose -158 = -4*x - 2*c - 0*c, x = -5*c + s. Calculate the greatest common factor of 168 and x.
42
Let w be 2/12 - 429/(-18). Suppose 0 = 3*t - 3*r - 105, -5*t + 154 = 4*r - 30. What is the highest common factor of t and w?
12
Suppose -221 + 4253 = -14*s. Let v be (4/2)/(-10) - s/40. Calculate the highest common divisor of v and 35.
7
Let r be 147/3 + -2 + 1. Let g be 250/30 + -9 + 50/3. What is the greatest common divisor of g and r?
16
Suppose 4*w = -3*h + 37, 0 = -w - h - 2 + 10. Let y = 32 - w. Calculate the highest common factor of 114 and y.
19
Suppose 85*w + 45 = 88*w. What is the highest common divisor of w and 165?
15
Let x(v) = 7*v - 19. Suppose 0 = -5*n + 14 + 1. Suppose -3 = o - 5*c, -17 - 22 = -3*o + n*c. Let t be x(o). What is the greatest common factor of 20 and t?
20
Suppose b - 470 = -2*p, 2*p + 5*b - 474 = 6*b. What is the greatest common divisor of p and 59?
59
Let a be (3/(-6))/(3435/1720 - 2). What is the greatest common factor of 43 and a?
43
Let a be 11 - (-69 + 3 + -9). What is the highest common divisor of a and 1?
1
Let m = 32 - 10. Suppose 5*g - m = 3. Suppose -3*r = -3*f - 39, -5*f - 41 = -g*r + 2*r. What is the highest common divisor of 6 and r?
6
Suppose 82 - 12 = 7*v. Let g(d) = 4*d**2 - 7*d + 5. Let x be g(5). What is the highest common factor of x and v?
10
Let n = -133 + 243. Calculate the greatest common divisor of 20 and n.
10
Suppose -3*s + 1135 = 2*h, -34 = 4*h - 42. Calculate the highest common factor of 58 and s.
29
Let z(g) = 2*g**2 + 23*g - 64. Let y be z(-14). Calculate the highest common divisor of y and 6.
6
Suppose 0*y = 5*y - 10. Suppose 0*n + 2*n = -3*i + 176, 8 = 4*i. Suppose -n - 19 = -y*o. What is the highest common factor of 78 and o?
26
Let h be 4 + (-8 + 7)*-2. What is the greatest common divisor of 582 and h?
6
Suppose -3*m + 3*u + 21 = 0, 4*m + 0 = u + 31. Let l be m + 0 + 7/7. Calculate the highest common divisor of 63 and l.
9
Let n be (-243)/162 + 637/14. Let f = -21 - -32. Calculate the highest common divisor of n and f.
11
Let f be (6/4*-2*-5)/3. Let w be -2 - -1 - -25 - -1. Calculate the highest common factor of w and f.
5
Suppose 3*w - o = w + 27, 2 = 2*o. Calculate the highest common divisor of w and 14.
14
Suppose -6*l = -4*l - 186. Let s = 327 - l. Calculate the greatest common divisor of 26 and s.
26
Let i(y) = 2*y**3 - y**2 + 6*y - 3. Let s be i(4). What is the highest common factor of s and 28?
7
Suppose 3*f + 0*b = -5*b + 2, 6 = 4*f + 5*b. Suppose 0 = r - f - 1. Let d(s) = -s + 7. Let m be d(r). What is the highest common divisor of 1 and m?
1
Suppose -13*i = -11*i - 24. Let p be 2 - -1 - -3 - -2. Suppose -20 = -4*q, 0 = 3*s + 3*q - p*q - 371. What is the greatest common divisor of s and i?
12
Let q = -1672 + 1903. What is the greatest common factor of q and 35?
7
Suppose w + 153 - 41 = 0. Let h = w + 117. Calculate the greatest common divisor of h and 5.
5
Let z(v) = -24*v + 11. Let q be z(-6). Let h = -101 - -163. What is the highest common factor of h and q?
31
Let y(h) = 12*h + 14. Let w be y(-4). Let r = w + 47. What is the highest common factor of r and 13?
13
Suppose -2*h = -4*v + 6, -2 = -h - 1. Let z be -4 + 44 - 0/v. Let y be (10/(-4))/((-1)/4). Calculate the greatest common factor of z and y.
10
Let u(o) = -o**3 + 8*o**2 + o - 2. Let g(j) = -j - j**3 + 0*j + j**2 + 3*j. Let l be g(-2). Let s be u(l). What is the greatest common factor of s and 66?
6
Suppose 29*s + 6570 = 39*s. Calculate the greatest common divisor of 9 and s.
9
Suppose -2*k + 77 = 3*u, 6*u - 2*k = u + 107. Let t be ((-2832)/2)/(-6) + 26 + -32. Calculate the greatest common factor of u and t.
23
Suppose 5*p - 3*p - 50 = -2*a, 65 = 2*p + 5*a. Suppose 44*b - 416 - 24 = 0. Calculate the highest common factor of b and p.
10
Suppose 381 = -5*o + 416. Calculate the highest common factor of o and 9.
1
Suppose 748 = 11*p + 11*p. What is the highest common divisor of 187 and p?
17
Suppose -3*a + 0*a + 746 = 2*m, 3*a + 4*m - 736 = 0. Calculate the greatest common divisor of a and 72.
36
Let s be 1 + 3105 - (-468)/(-78). What is the highest common factor of s and 100?
100
Suppose 11*q - 155 + 89 = 0. Calculate the highest common factor of q and 56.
2
Let t be (-1326)/21*(-5 - -19)/(-2). What is the greatest common divisor of 26 and t?
26
Suppose 790 - 1546 = -9*s. What is the greatest common divisor of s and 150?
6
Let b be (615/(-105) + 5)/((-1)/28). Calculate the greatest common divisor of 2424 and b.
24
Let v(t) = -2*t**3 + 7*t**2 + 2*t - 6. Let x be v(6). Let c be (-5)/(-10) + x/(-4). Let r = 99 - c. What is the highest common factor of 5 and r?
5
Suppose -221*j + 220*j = -5. What is the highest common divisor of 85 and j?
5
Let g(n) = 9*n**2 + 67*n - 134. Let s be g(2). Calculate the greatest common divisor of s and 44.
4
Let n be 21/(-49) + (-3)/21*-311. What is the greatest common factor of n and 12?
4
Suppose 4*h - 48 - 12 = 0. Suppose h*g = g + 1764. What is the greatest common factor of g and 28?
14
Suppose -2*w = -0*w. Let z(d) = 97*d**2 + d + 2. Let s be z(-2). Suppose -5*b + s + 32 = w. Calculate the highest common divisor of b and 21.
21
Let n(u) = 22*u**3 + u**2 + u - 1. Let l be (9/6)/((-6)/16). Let r = l - -5. Let w be n(r). What is the greatest common factor of 23 and w?
23
Let o(i) = i**2 - 9*i + 22. Let r be o(0). Let b be (-4)/(-2) + 40/2. Calculate the highest common divisor of r and b.
22
Let n(v) = -2*v**3 - 4*v**2 - 8*v - 6. Let t be n(-4). What is the greatest common factor of t and 20?
10
Let v(c) = -c**2 + 28*c - 5. Let b = -78 - -105. Let f be v(b). Calculate the highest common factor of 2 and f.
2
Let h be (-4)/(-18) + (-4)/18. Suppose h = i - 0*i - 18. Suppose -2*j = -3*v - 30, -2*v = -4*j - 3*v + 74. What is the highest common divisor of j and i?
18
Let c(r) = -r**2 + 7*r - 3. Let b be c(3). Suppose -187*h + 2178 = -66*h. Calculate the greatest common divisor of h and b.
9
Let b(h) = h**2 + 4*h + 5. Let k be b(6). Suppose 0 = 3*t | {
"pile_set_name": "DM Mathematics"
} |
product of -3 and 15987?
-47961
Multiply 1178.84 and -0.1.
-117.884
What is -1.9 times 5632?
-10700.8
-0.044*-0.59
0.02596
Work out 8 * -22.426.
-179.408
18.89758 times -2
-37.79516
Multiply 0.06 and 165582.
9934.92
0.05*168.5
8.425
Calculate 88*-783.
-68904
Calculate 2210982*-0.5.
-1105491
0.1 times -30.3865
-3.03865
Multiply 126 and 2196.
276696
What is the product of -0.59673 and -8?
4.77384
What is 16845 times 0.35?
5895.75
Calculate -8741*-0.02.
174.82
Product of 5841 and -596.
-3481236
2 * -158245
-316490
Product of -1417 and -0.07.
99.19
Product of 17562 and -63.
-1106406
-1164 * -1.63
1897.32
Product of -881 and 71.
-62551
-0.108*456
-49.248
-66156 * 10
-661560
What is -2.84993 times 0.2?
-0.569986
Work out 44.4 * -21.
-932.4
Product of -11.2 and -100.4.
1124.48
What is 5 times -60445?
-302225
Product of -2.6 and 419.4.
-1090.44
Work out 1.279 * -1905.
-2436.495
Product of -584.1 and -128.
74764.8
10*135879
1358790
What is the product of -7 and 0.1012?
-0.7084
5 * -967
-4835
Work out 16 * -1.0025.
-16.04
4841*0.23
1113.43
What is 0 times 1.0373?
0
What is 0.1001 times 0.04302?
0.004306302
Work out -14307 * -0.2.
2861.4
What is 7.1 times 542?
3848.2
-0.338 * -0.32
0.10816
Work out -4 * -0.4416.
1.7664
Multiply 33.259 and -16.
-532.144
What is -0.0198 times -4850?
96.03
Product of 336 and -4.49.
-1508.64
Product of -4.31 and -3981.
17158.11
Work out -0.06 * 22.803.
-1.36818
-0.25 * -0.10544
0.02636
0.07 times -27088
-1896.16
What is the product of 0.7148 and 21?
15.0108
Calculate 0.1157*-0.108.
-0.0124956
What is the product of 0.5 and 226511?
113255.5
Work out 2075 * -20.
-41500
10425 * -8
-83400
What is the product of 403.8 and -0.8?
-323.04
What is 2 times 23287?
46574
What is the product of 0.089944 and -1?
-0.089944
What is the product of 1371 and -325?
-445575
-35552 * 0.05
-1777.6
Product of 30 and 156.
4680
Product of 18 and 1627.35.
29292.3
Work out -9493 * 523.
-4964839
Product of 0.137 and -821.
-112.477
Product of -34 and -1338.
45492
-7 * -2513.06
17591.42
Calculate 5208*0.01.
52.08
Work out 4530 * 0.041.
185.73
Work out -0.2 * -40239.
8047.8
Product of -46 and 263.
-12098
-0.22413 * 0.5
-0.112065
-1.886 times -13
24.518
What is -7189 times -6?
43134
Calculate -4*18949.
-75796
What is 1.89 times 26.4?
49.896
What is -19 times -12526?
237994
Multiply -3382.38 and 0.3.
-1014.714
0.4 times 69937
27974.8
Multiply 0.3 and 94720.
28416
-953 * 0.1075
-102.4475
37.5 * 5873
220237.5
Product of 29.077 and -1.
-29.077
Work out 4461 * -183.
-816363
What is the product of 1.84507 and 1?
1.84507
What is -0.67898 times 0.1?
-0.067898
-1988 * 141
-280308
Multiply 8 and -0.06052.
-0.48416
Multiply -1595 and 64.
-102080
Product of 350 and -71.
-24850
What is -37897 times 0.1?
-3789.7
Multiply -3581 and 29.
-103849
Product of 1437 and 44.1.
63371.7
What is the product of 0.28 and 345.5?
96.74
Calculate -818*978.
-800004
Calculate 1*184984.
184984
What is 0.2 times -11386?
-2277.2
What is the product of -0.1 and -95.5?
9.55
0.4 times -12965
-5186
Work out 13 * -5986.
-77818
4155*-711
-2954205
Work out 5 * 51855.
259275
What is 2113 times -0.004?
-8.452
-0.4 * 73.116
-29.2464
168.52 times -12
-2022.24
168491 times -0.2
-33698.2
-22402 times 0.1
-2240.2
-35.314*-0.058
2.048212
What is the product of 1410 and 475?
669750
0.731 * 84.28
61.60868
Product of -0.09 and 14.8447.
-1.336023
Multiply -34 and 41.9.
-1424.6
Calculate -1701*-4.76.
8096.76
Work out -2.7 * 164.4.
-443.88
-11 times -1.781
19.591
Calculate -141262*-0.1.
14126.2
2223 * 0
0
Calculate -913.744*0.2.
-182.7488
-0.5*-62645.9
31322.95
Work out -0.2479 * 57.
-14.1303
What is -3635 times 123?
-447105
What is -7969 times -4?
31876
Multiply -0.069 and 359.
-24.771
48.5 * 4.8
232.8
0.3*369811
110943.3
Product of -12208 and -25.
305200
Calculate 0.007581*0.39.
0.00295659
What is -2937 times -6.2?
18209.4
Calculate -0.0708*-5794.
410.2152
-0.33*-69157
22821.81
What is the product of -2606.118 and -0.4?
1042.4472
What is the product of 0.4 and -0.92004?
-0.368016
Multiply -2 and -18023.6.
36047.2
Multiply -215 and -12.
2580
Multiply -500 and -0.54.
270
Work out -11 * 6.8281.
-75.1091
Calculate 17121*-3.
-51363
50.6 * 1402
70941.2
-18348 times 0.1
-1834.8
Product of -0.4 and -324.1.
129.64
What is the product of 0.597 and 2.41?
1.43877
-162.8*0.754
-122.7512
-2.6111*-0.2
0.52222
Product of -10 and 5308.
-53080
196.9*86
16933.4
Work out -189.9 * -3.447.
654.5853
What is the product of 1 and 4.6618?
4.6618
What is the product of -0.06 and -7337?
440.22
Work out 3 * 473041.
1419123
Calculate -498*386.
-192228
Calculate 49*-1569.9.
-76925.1
Multiply 5.5 and 18.
99
Multiply -3 and 163179.
-489537
Multiply 8460 and 0.19.
1607.4
Work out 2426 * 0.1.
242.6
What is 2.89 times 44?
127.16
What is the product of 105 and -4637?
-486885
Multiply 0.106309 and 5.
0.531545
Calculate 1.34128*2.
2.68256
-141.3*0.051
-7.2063
Calculate 53*-0.0295.
-1.5635
-3*-21014
63042
0.01328 * 0.007
0.00009296
-371958*-0.4
148783.2
What is -1061621 times 0.2?
-212324.2
What is 10.219 times 4?
40.876
Multiply -1589 and 18.
-28602
What is 192 times -1.168?
-224.256
-58.26*-162
9438.12
Work out 0.048 * 3375.
162
13553*-0.2
-2710.6
Multiply -1.07 and 47.
-50.29
643 * 0.085
54.655
-262.7*15
-3940.5
Calculate -1167*-1.057.
1233.519
What is the product of -5 and 220537?
-1102685
Calculate 0.68249*0.4.
0.272996
0.087 * -0.051037
-0.004440219
-806 * 2727
-2197962
56883*-5
-284415
-0.4 times -0.001384
0.0005536
Product of -1.5429 and 0.018.
-0.0277722
What is -2 times 7761?
-15522
What is -1680 times -88?
147840
What is the product of -45.42 and 62?
-2816.04
Work out 0.02269 * 34.
0.77146
3600.52 times -0.02
-72.0104
What is the product of 12027 and -68?
-817836
Multiply -0.3 and 419007.
-125702.1
-4.63 * -69.6
322.248
3 times 661695
1985085
What is the product of 350 and 0.5088?
178.08
Multiply -0.4 and -0.11268.
0.045072
What is -759 times -2.57?
1950.63
Work out 2556 * -0.024.
-61.344
0.1528 * -3.3
-0.50424
-38537 times -2
77074
Multiply -83582 and 35.
-2925370
Product of 14006 and 0.
0
What is 0.038 times 3.1?
0.1178
Multiply -0.053 and -323.
17.119
278549 * 0.1
27854.9
What is the product of -0.3 and -0.000348?
0.0001044
212782*-0.3
-63834.6
Calculate 4*22579.5.
90318
Multiply 3736 and 0.8.
2988.8
Multiply 1279376 and 0.1.
127937.6
What is the product of -5.225 and -7?
36.575
What is the product of -0.7 and 5073?
-3551.1
-186.334 times 0.3
-55.9002
What is the product of 6 and -0.0303169?
-0.1819014
What is the product of 0.1 and 25.32?
2.532
What is the product of 16 and 1.96?
31.36
Calculate 16.65*1389.
23126.85
0.00608*-13
-0.07904
Work out 21 * 964.
20244
Multiply 0.4 and -1480.86.
-592.344
1964376 times 0
0
23*1809
41607
Work out 0.5 * 3626.
1813
Work out -0.5 * 8.087.
-4.0435
What is the product of 0.45593 and 4?
1.82372
109*937
102133
Product of -248 and -223.6.
55452.8
Multiply 3620.9 and -0.54.
-1955.286
Multiply -22 and 3677.
-80894
Work out 0.74 * -0.00122.
-0.0009028
Calculate 8*12.
96
Product of -1.2 and -110408.
132489.6
What is the product of -76.1737 and -0.8?
60.93896
1662 times 0.305
506.91
What is the product of -5 and -1.84213?
9.21065
0.6 * 2.3
1.38
872793 * 0.5
436396.5
Product of 5563.36 and -0.5.
-2781.68
What is the product of -3287.9 and 0.5?
-1643.95
Calculate 265*-0.0279.
-7.3935
0.5*79046
39523
21544*0.3
6463.2
What is 0.5 times -16179.5?
-8089.75
27.851 times 4
111.404
Calculate 11*0.1932.
2.1252
Work out 1252.65 * -0.3.
-375.795
0.46 * 2469
1135.74
13813 times 0.04
552.52
Calculate 0.03*-0.36247.
-0.0108741
Product of -1218 and -3047.
3711246
What is 0.027 times -2828?
-76.356
-2.5 * 23552
-58880
Product of 1.2 and -3594.
-4312.8
What is the product of 17105 and 310?
5302550
Product of -0.546 and 58.
-31.668
Calculate -0.5*-322481.
161240.5
Product of 99 and 10315.
1021185
What is the product of 0.03 and -88417?
-2652.51
0.6*-159.1
-95.46
1653.3*-3
-4959.9
Multiply 43773 and 0.04.
1750.92
Work out -0.082 * -396.7.
32.5294
Multiply 3 and 18450.
55350
Multiply 108170 and 0.6.
64902
Multiply 5 and -106.5764.
-532.882
What is the product of -0.1 and 3014?
-301.4
Product of -0.069 and 16862.
-1163.478
Product of 1.2 and 214166.
256999.2
-11 * -16136
177496
Calculate 6*-3176.
-19056
Work out -8.407 * -0 | {
"pile_set_name": "DM Mathematics"
} |
st derivative of 38*r**3/3 + 150. Give a(k(o)).
76*o**2
Let j(k) = -k**2 - k. Let l(i) = 9*i**2 + 6*i. Let m(t) = 6*j(t) + l(t). Let a(x) = 84*x**2. Determine m(a(w)).
21168*w**4
Let o(l) = -850*l**2 - 9*l + 1. Let v(u) = 2*u**2. What is o(v(d))?
-3400*d**4 - 18*d**2 + 1
Let k(d) = -364*d**2 + 2. Let n(t) = 50*t - 1. Give n(k(f)).
-18200*f**2 + 99
Suppose 3*v + v = 104. Suppose -5*b = -19 - v. Let n(p) = 10*p**2 - b*p**2 + 0*p**2. Let z(f) = 3*f. What is z(n(t))?
3*t**2
Let s(a) = -2*a**2. Suppose 31100 = 4*o - 4*k - 6304, -5*o - 3*k = -46747. Let h(j) = 9350 - 3*j - o. What is h(s(c))?
6*c**2
Let m(v) be the second derivative of 0 + v + 0*v**2 - 2/3*v**3. Let b(w) = w + 1. Let y(u) = u**2 + 6*u + 6. Let r(i) = 6*b(i) - y(i). Give r(m(c)).
-16*c**2
Let y(u) = -1 - 25*u + 6 - 5. Let w(a) = 17*a - 5*a - 15*a. Give y(w(c)).
75*c
Let u(y) = 175373*y. Let v(d) = -2*d. Give u(v(r)).
-350746*r
Let y(n) = -3*n. Let a(u) be the second derivative of 16*u + 0 + 2/3*u**4 + 0*u**2 + 0*u**3. Give a(y(x)).
72*x**2
Let p(g) = -281*g + 1. Let a(z) = -12400*z**2. Calculate p(a(h)).
3484400*h**2 + 1
Let s(z) be the third derivative of z**5/30 - 2*z**2. Let a(p) = 3073*p + p**2 - 3073*p. Give s(a(j)).
2*j**4
Let l(z) = -17*z. Let b(u) = -9*u**2 - u + 101. Give b(l(r)).
-2601*r**2 + 17*r + 101
Let w(p) = -3*p + 36591. Let h(v) = -10*v**2. Give w(h(z)).
30*z**2 + 36591
Let o(p) = 3*p. Let j(t) = 4*t. Let g(r) = 5*j(r) - 7*o(r). Let h(x) = -4*x + 2. Let c(z) = -39*z + 21. Let f(n) = 2*c(n) - 21*h(n). What is g(f(u))?
-6*u
Let d = 36 + -36. Let p(u) = -4*u**2 - 5*u**2 + d*u**2. Let s(x) = -3*x**2. What is p(s(h))?
-81*h**4
Let h(x) = 31*x - 18. Let r(f) = 7*f - 4. Let u(o) = 2*h(o) - 9*r(o). Let l(n) = -583*n**2. Calculate l(u(b)).
-583*b**2
Let g(l) = l - 5. Let m(i) = -51*i**2 - 15*i. Give m(g(u)).
-51*u**2 + 495*u - 1200
Let k(p) = -3*p - 3. Let q(n) = -2709*n**2. Calculate q(k(d)).
-24381*d**2 - 48762*d - 24381
Let t(i) = -232049*i**2. Let f(s) = -6*s**2. Determine f(t(z)).
-323080430406*z**4
Let j(h) = -5*h**2. Let r(f) = -10*f**2 + 32*f**2 - 5*f**2 - 10*f**2 - 2*f**2. Give j(r(c)).
-125*c**4
Let f(i) be the second derivative of -11/12*i**4 + 0*i**2 + 0 - 2*i + 0*i**3. Let k(p) = 3*p**2. Determine f(k(b)).
-99*b**4
Let j(r) = 1107*r**2. Let w(u) = -217*u. Determine j(w(c)).
52127523*c**2
Let s(v) = 385*v**2 + 33. Let r(i) = -4*i. Determine r(s(b)).
-1540*b**2 - 132
Let g(y) be the first derivative of -4*y + 0*y**2 + 5 + 1/6*y**3. Let z(v) be the first derivative of g(v). Let x(n) = -8*n**2. Determine x(z(m)).
-8*m**2
Let j(g) = -2*g. Let a(y) = 3*y - 54900. What is j(a(m))?
-6*m + 109800
Let s(w) = 2*w**2. Let i(k) = -10 + 16*k - 4 + 16 + 2. Give i(s(c)).
32*c**2 + 4
Let p(f) = -f. Let d(l) = 3*l. Let h(j) = -4*d(j) - 14*p(j). Let x(o) = o. Let r be x(0). Let z(v) = r*v**2 - v**2 - v**2 - 4*v**2. Determine h(z(q)).
-12*q**2
Let x(u) = -3*u - 3. Let j(c) = -c - 9. Let r(o) = 5. Let m(g) = 3*j(g) + 5*r(g). Let f(y) = -3*m(y) + 2*x(y). Let l(z) = -5*z. Determine l(f(b)).
-15*b
Let b = 7 - 5. Let c(f) = 3*f**b - f**2 - 4*f**2. Let q(t) = 20*t + 17*t - 38*t. Give c(q(d)).
-2*d**2
Let o(g) = -2*g**2 - 1. Let z(x) = -21*x**2 - 23*x**2 + 45*x**2. What is z(o(r))?
4*r**4 + 4*r**2 + 1
Let v(i) = 51*i**2 + 377*i. Let j(k) = -5*k. Calculate v(j(a)).
1275*a**2 - 1885*a
Let m(j) = 2*j. Let f(i) = -2859659*i**2. Determine f(m(x)).
-11438636*x**2
Let s(l) = 22*l. Let g(r) = 6*r**2 + 65*r. What is s(g(h))?
132*h**2 + 1430*h
Let w(o) = 9*o**2. Suppose 3*q - 3*x = 3 + 27, 3*q + 3*x - 6 = 0. Let v be 40 + 8/12*q. Let c(u) = v - 44 - u. Give c(w(d)).
-9*d**2
Let y be (-105)/(-45) - (-2)/(-6). Let d(x) = -x - 13*x**y + x + 0*x. Let c(l) = -2*l**2. Calculate d(c(a)).
-52*a**4
Let n(f) = -376*f - 31. Let a(w) = -w**2. Give a(n(x)).
-141376*x**2 - 23312*x - 961
Let j(s) = -21*s**2. Let q(k) = -11*k - 4. Let d(m) = -m - 1. Let z(r) = -4*d(r) + q(r). What is z(j(t))?
147*t**2
Let u(m) = 7 + 2*m**2 - 7. Let v(d) be the third derivative of d**4/24 - 34*d**2 + 1. What is v(u(i))?
2*i**2
Let k(z) = -12*z - 14*z + 25*z + 28 - 28. Let c(q) = 19*q**2 - 1 + 1. Calculate c(k(h)).
19*h**2
Let r(f) = 14*f. Let c(n) = 6385*n. What is r(c(g))?
89390*g
Let q(i) = -i. Let z(p) be the first derivative of -9*p**2/2 + 16*p - 7. Give q(z(u)).
9*u - 16
Let h be -5*(2 + 116/(-10)). Let s(g) = 27*g**2 + 25*g**2 - h*g**2. Let k(l) = l**2. What is s(k(m))?
4*m**4
Let j(f) = f. Suppose -3*v - 2 = -5. Let w(r) = r**2 - 1. Let a(t) = 155*t**2 - 124. Let y(q) = v*a(q) - 124*w(q). Determine j(y(m)).
31*m**2
Let w(z) = -2*z**2 - 4. Let m(g) = g**2 + 2*g**2 + 4 - 1 - 2*g**2. Let j(t) = 4*m(t) + 3*w(t). Let f(n) = 33*n**2 - 1. Give j(f(l)).
-2178*l**4 + 132*l**2 - 2
Let n(i) = 8*i. Let j(v) = 1800*v**2. Determine j(n(w)).
115200*w**2
Let f(w) = 13*w**2. Let x(k) = -k**2 + k. Let g(y) = 26*y**2 - 39*y. Let d(h) = g(h) + 39*x(h). Let o(a) = 4*d(a) + 3*f(a). Let r(j) = 4*j. What is r(o(c))?
-52*c**2
Let c(p) = -p**3 - 4*p**2 - 5*p - 4. Let w be c(-3). Let t(f) = f**2 + f**2 + 6*f**w. Let a(q) be the second derivative of -q**4/12 + 42*q. Determine t(a(n)).
8*n**4
Let h(i) = -19*i + 11. Let m(w) = -7*w + 4. Let b(l) = 4*h(l) - 11*m(l). Let j(v) = -7*v**2 + 4*v**2 - 6*v**2. Calculate b(j(r)).
-9*r**2
Let s(l) be the third derivative of l**5/60 + 2*l**2. Suppose -5*z + 12*z - 14 = 0. Let y(n) = -10*n**2 - 10*n**z + 14*n**2. Determine y(s(g)).
-6*g**4
Let x(b) be the first derivative of -3*b**2 + 630. Let g(m) = -35*m. What is g(x(d))?
210*d
Let g(p) = 32744*p**2 + 2*p + 1. Let b(m) = 3*m**2. What is g(b(d))?
294696*d**4 + 6*d**2 + 1
Let c be (-4)/24 - (-942)/36. Let m(y) = -11 + c + 3*y**2 - 15. Let r(f) = 8*f**2. Give r(m(s)).
72*s**4
Let g(r) = -323*r. Let t(m) = 23*m + 22*m - 47*m. Determine g(t(c)).
646*c
Let m(q) = -q. Let x(f) = -2910273*f**2. Determine x(m(k)).
-2910273*k**2
Let t(o) = o. Let d(b) be the second derivative of -2*b**5/5 + 13*b**2/2 + 10*b. Let p(v) be the first derivative of d(v). Calculate p(t(h)).
-24*h**2
Let b(x) be the third derivative of 4*x**2 + 0*x + 0*x**3 + 1/4*x**4 + 0. Let c(p) = -p. What is c(b(y))?
-6*y
Let k(y) = 3*y**2. Let h(a) = 6*a**2 + 4*a - 4. Let o(g) = 7*g**2 + 5*g - 5. Let n(j) = 2*j - 2. Let r be n(3). Let l(i) = r*o(i) - 5*h(i). What is l(k(p))?
-18*p**4
Let r(m) = -11*m**2. Let t be (-40)/(-8) - -10*(-3)/6. Let n(p) be the first derivative of 1/2*p**2 + t*p + 2. Give r(n(u)).
-11*u**2
Let x(k) = -20127*k - 7*k**2 - 1 + 20127*k. Let c(u) = -2*u. Calculate x(c(v)).
-28*v**2 - 1
Let m(y) = -22*y. Let t(i) = -2590*i**2. Determine m(t(f)).
56980*f**2
Let v(m) = 25396*m. Let t(s) = -s**2. Determine t(v(o)).
-644956816*o**2
Let x(a) = -2168*a - 1. Let v(j) = -374*j. Determine x(v(n)).
810832*n - 1
Let n(z) be the first derivative of -7*z**2/2 - 7. Let d(g) = 4 + 0 - 2*g - 4. What is n(d(o))?
14*o
Let r(f) = -f. Let n(c) be the third derivative of -25*c**4/24 + c**3/3 + 7*c**2 - 3*c. Calculate n(r(w)).
25*w + 2
Let d = -12 - -19. Suppose 4*h + d = 31. Let i(l) = -4*l + 5. Let c(p) = 5*p - 6. Let x(u) = h*i(u) + 5*c(u). Let q(f) = -5*f**2. Determine q(x(m)).
-5*m**2
Let s(a) = -271*a. Let g(x) = -9*x - 15. Let v(k) = -4*k - 6. Let b(q) = 2*g(q) - 5*v(q). Determine b(s(c)).
-542*c
Let w(j) = 25*j**2 + 15*j + 60. Let c(m) = -6*m**2 - 4*m - 16. Let s(g) = 15*c(g) + 4*w(g). Let a(z) = -9*z**2. What is a(s(t))?
-900*t**4
Let c be ((-18)/8)/(36/(-96)). Let k(s) = c + 0 + 33*s - 109*s + 5. Let q(o) = 15*o - 2. Let i(p) = -2*k(p) - 11*q(p). Let y(m) = 2*m. Determine y(i(x)).
-26*x
Let s(n) = 8*n - 3. Let m(z) = 8*z - 4. Let u(w) = 3*m(w) - 4*s(w). Let v(y) be the third derivative of y**4/8 - 5*y**2. Give v(u(j)).
-24*j
Let w(m) = -40*m**2 - 54*m**2 - 11*m**2. Let z(y) = 2*y. What is w(z(j))?
-420*j**2
Let d(h) = 15544*h**2. Let s(x) = -4*x**2. Give s(d(r)).
-966463744*r**4
Let o(x) = 60*x. Let a(z) = -14*z + 45. Let m(t) = t + 9. Let d(w) = a(w) - 5*m(w). Give o(d(s)).
-1140*s
Let t(m) = -4*m**2 + 3*m. Let n(z) = 7*z**2 - 5*z. Let k(g) = 3*n(g) + 5*t(g). Let j(r) = -4*r. Calculate j(k(c)).
-4*c**2
Let z(j) = -140*j**2. Let y(n) = -2*n - 4. Let k(s) = 16*s + 34. Let r(c) = -4*k(c) - 34*y(c). Determine r(z(o)).
-560*o**2
Let m(l) = l**2 - 2*l + 101. Let r be m(0). Let z(w) = -r + w + 101. Let | {
"pile_set_name": "DM Mathematics"
} |
2, 570, 418, 266, 114?
-152*p + 1026
What is the f'th term of 146, 239, 358, 497, 650, 811, 974, 1133?
-f**3 + 19*f**2 + 43*f + 85
What is the l'th term of 1082, 4383, 9908, 17657, 27630?
1112*l**2 - 35*l + 5
What is the h'th term of 12989, 12997, 13005, 13013, 13021?
8*h + 12981
What is the f'th term of 185, 372, 553, 728?
-3*f**2 + 196*f - 8
What is the p'th term of -325, -322, -315, -304, -289?
2*p**2 - 3*p - 324
What is the q'th term of -37453, -74904, -112357, -149812, -187269?
-q**2 - 37448*q - 4
What is the m'th term of -1352, -1792, -2234, -2678, -3124, -3572, -4022?
-m**2 - 437*m - 914
What is the l'th term of -201205, -402409, -603613?
-201204*l - 1
What is the w'th term of 760, 1556, 2360, 3172, 3992?
4*w**2 + 784*w - 28
What is the j'th term of -2219131, -2219138, -2219155, -2219188, -2219243, -2219326?
-j**3 + j**2 - 3*j - 2219128
What is the b'th term of -2002, -2078, -2212, -2410, -2678, -3022, -3448?
-b**3 - 23*b**2 - 1978
What is the a'th term of -86649, -86657, -86665, -86673?
-8*a - 86641
What is the m'th term of 6188610, 6188611, 6188612, 6188613, 6188614, 6188615?
m + 6188609
What is the d'th term of 26157, 52301, 78447, 104595?
d**2 + 26141*d + 15
What is the g'th term of -601, -928, -1255?
-327*g - 274
What is the p'th term of -3202, -3180, -3118, -2998, -2802, -2512, -2110?
3*p**3 + 2*p**2 - 5*p - 3202
What is the m'th term of -128172, -128226, -128280, -128334?
-54*m - 128118
What is the g'th term of 7130, 7196, 7262, 7328, 7394?
66*g + 7064
What is the y'th term of 1588, 2619, 3650?
1031*y + 557
What is the q'th term of 27046, 26951, 26856, 26761, 26666?
-95*q + 27141
What is the a'th term of 2656, 2650, 2644?
-6*a + 2662
What is the x'th term of 7869, 15303, 22723, 30123, 37497, 44839, 52143?
-x**3 - x**2 + 7444*x + 427
What is the u'th term of 135, 85, 35, -15, -65, -115?
-50*u + 185
What is the w'th term of 111, 683, 1635, 2967?
190*w**2 + 2*w - 81
What is the i'th term of -28054, -112182, -252388, -448666, -701010, -1009414?
i**3 - 28045*i**2 - 10
What is the m'th term of 1234, 1214, 1196, 1180, 1166, 1154?
m**2 - 23*m + 1256
What is the y'th term of -76, -120, -192, -292?
-14*y**2 - 2*y - 60
What is the d'th term of 316, 278, 202, 76, -112, -374, -722, -1168?
-2*d**3 - 7*d**2 - 3*d + 328
What is the v'th term of 762686, 1525372, 2288058?
762686*v
What is the k'th term of -71840, -71833, -71826?
7*k - 71847
What is the q'th term of -12243, -12266, -12293, -12324?
-2*q**2 - 17*q - 12224
What is the j'th term of 86, 144, 216, 302, 402, 516?
7*j**2 + 37*j + 42
What is the k'th term of 460, 444, 402, 322, 192, 0, -266?
-2*k**3 - k**2 + k + 462
What is the p'th term of -6706, -13375, -20022, -26641, -33226, -39771, -46270?
p**3 + 5*p**2 - 6691*p - 21
What is the v'th term of -2464, -4897, -7342, -9805, -12292, -14809, -17362?
-v**3 - 2426*v - 37
What is the o'th term of -39632, -39792, -40058, -40430, -40908?
-53*o**2 - o - 39578
What is the m'th term of 2777, 11534, 26129, 46562, 72833, 104942, 142889?
2919*m**2 - 142
What is the w'th term of 1145, 869, 595, 323?
w**2 - 279*w + 1423
What is the s'th term of 1297, 2578, 3859?
1281*s + 16
What is the m'th term of 59, 318, 585, 860?
4*m**2 + 247*m - 192
What is the v'th term of -185927, -371853, -557779, -743705, -929631?
-185926*v - 1
What is the j'th term of -2170, -8687, -19550, -34759, -54314, -78215?
-2173*j**2 + 2*j + 1
What is the g'th term of 22686, 22674, 22654, 22626, 22590, 22546, 22494?
-4*g**2 + 22690
What is the h'th term of 317, 408, 391, 212, -183, -848, -1837, -3204?
-9*h**3 + 154*h + 172
What is the b'th term of 6228, 12448, 18662, 24870, 31072, 37268?
-3*b**2 + 6229*b + 2
What is the j'th term of 432, 925, 1418, 1911, 2404?
493*j - 61
What is the t'th term of 81, 101, 115, 111, 77, 1, -129?
-2*t**3 + 9*t**2 + 7*t + 67
What is the x'th term of -134, -191, -240, -281, -314?
4*x**2 - 69*x - 69
What is the r'th term of -11653, -11654, -11655, -11656, -11657?
-r - 11652
What is the r'th term of 2906, 5840, 8786, 11750, 14738, 17756, 20810?
r**3 + 2927*r - 22
What is the u'th term of -107925, -215846, -323765, -431682, -539597?
u**2 - 107924*u - 2
What is the c'th term of -1875, -2065, -2395, -2877, -3523, -4345, -5355?
-2*c**3 - 58*c**2 - 2*c - 1813
What is the h'th term of 80508, 160999, 241490?
80491*h + 17
What is the o'th term of -13636, -13638, -13640, -13642, -13644, -13646?
-2*o - 13634
What is the r'th term of 15187, 15185, 15183, 15181?
-2*r + 15189
What is the d'th term of 863, 3462, 7823, 13970, 21927, 31718?
4*d**3 + 857*d**2 + 2
What is the o'th term of 175072, 175075, 175078, 175081, 175084, 175087?
3*o + 175069
What is the w'th term of 207, 1513, 5067, 11997, 23431, 40497, 64323?
188*w**3 - 4*w**2 + 2*w + 21
What is the q'th term of 4579, 18419, 41491, 73801, 115355, 166159?
q**3 + 4610*q**2 + 3*q - 35
What is the d'th term of 105, 266, 655, 1386, 2573?
19*d**3 + 28*d + 58
What is the w'th term of -580016, -580015, -580014, -580013?
w - 580017
What is the v'th term of 5477, 10949, 16421, 21893, 27365?
5472*v + 5
What is the s'th term of -43459, -86918, -130377, -173836?
-43459*s
What is the s'th term of -11104, -22198, -33292, -44386, -55480, -66574?
-11094*s - 10
What is the i'th term of -24, 108, 240?
132*i - 156
What is the u'th term of -136, -617, -1424, -2563, -4040, -5861, -8032?
-u**3 - 157*u**2 - 3*u + 25
What is the m'th term of 3266, 6531, 9796?
3265*m + 1
What is the m'th term of 313911, 627821, 941731?
313910*m + 1
What is the g'th term of -1794315, -1794312, -1794309, -1794306, -1794303, -1794300?
3*g - 1794318
What is the m'th term of 5359, 21374, 48061, 85420, 133451, 192154?
5336*m**2 + 7*m + 16
What is the m'th term of 3083170, 3083172, 3083176, 3083182, 3083190?
m**2 - m + 3083170
What is the s'th term of 5244, 5235, 5226, 5217?
-9*s + 5253
What is the s'th term of -1460, -3090, -4884, -6842, -8964, -11250, -13700?
-82*s**2 - 1384*s + 6
What is the j'th term of -154, -236, -366, -544, -770, -1044?
-24*j**2 - 10*j - 120
What is the x'th term of 5440, 10883, 16340, 21817, 27320, 32855?
x**3 + x**2 + 5433*x + 5
What is the f'th term of -118745, -118747, -118749, -118751, -118753, -118755?
-2*f - 118743
What is the i'th term of -11014, -21497, -31978, -42457?
i**2 - 10486*i - 529
What is the x'th term of -4098, -8325, -12550, -16773, -20994, -25213, -29430?
x**2 - 4230*x + 131
What is the m'th term of -418, -646, -874, -1096, -1306, -1498, -1666, -1804?
m**3 - 6*m**2 - 217*m - 196
What is the v'th term of -5805, -11597, -17385, -23169?
2*v**2 - 5798*v - 9
What is the k'th term of -429, -870, -1493, -2292, -3261, -4394?
k**3 - 97*k**2 - 157*k - 176
What is the k'th term of -24, -20, -14, -6, 4, 16, 30?
k**2 + k - 26
What is the d'th term of 380, 752, 1128, 1508, 1892?
2*d**2 + 366*d + 12
What is the u'th term of -19819, -39825, -59831, -79837, -99843, -119849?
-20006*u + 187
What is the f'th term of -197884, -395752, -593594, -791398, -989152, -1186844, -1384462?
2*f**3 + f**2 - 197885*f - 2
What is the i'th term of 185, 415, 645?
230*i - 45
What is the d'th term of 3167, 3230, 3295, 3362?
d**2 + 60*d + 3106
What is the m'th term of -519123, -519128, -519135, -519144?
-m**2 - 2*m - 519120
What is the t'th term of -150, -498, -992, -1626, -2394, -3290, -4308, -5442?
t**3 - 79*t**2 - 118*t + 46
What is the b'th term of 123, 274, 447, 648, 883, 1158, 1479?
b**3 + 5*b**2 + 129*b - 12
What is the l'th term of -399, -331, -239, -111, 65, 301, 609?
2*l**3 + 54*l - 455
What is the y'th term of -139268, -139266, -139264?
2*y - 139270
What is the a'th term of 13321, 13319, 13317, 13315, 13313?
-2*a + 13323
What is the q'th term of 8, -159, -606, -1471, -2892, -5007?
-23*q**3 - 2*q**2 + 33
What is the x'th term of -357408, -357419, -357430?
-11*x - 357397
What is the m'th term of 18, -15, -100, -243, -450, -727?
-m**3 - 20*m**2 + 34*m + 5
What is the s'th term of 8405, 17078, 25763, 34466, 43193, 51950, 60743?
s**3 + 8666*s - 262
What is the j'th term of -58, -36, -6, 26, 54, 72, 74?
-j**3 + 10*j**2 - j - 66
What is the t'th term of 921, 2516, 5175, 8898?
532*t**2 - t + 390
What is the a'th term of 18914, 37833, 56754, 75677, 94602, 113529?
a**2 + 18916*a - 3
What is the v'th term of 1691696, 1691695, 1691694, 1691693, 1691692?
-v + 16 | {
"pile_set_name": "DM Mathematics"
} |
hat is (35/(-7))/((-10675)/15372*24/(-15))?
-9/2
Evaluate ((-754)/(-1885))/((-9)/4095*-13).
14
What is the value of (9/11)/((153/(-561))/(-3))*(-306)/81?
-34
What is the value of -12*((-152)/(-132))/(44/121)*1?
-38
((-24)/(-50))/((-516)/(-645))*3690/54
41
What is 2/(-9)*(-576)/256*4/(-8)*-8?
2
What is the value of (9/18)/((-22)/55*-10)?
1/8
What is the value of ((-2)/3*6/14)/((406780/(-385))/43)?
1/86
51/14*(-80262)/(-17199)
17
Evaluate (20/8)/(((-848)/448)/53).
-70
What is the value of (1/((-16)/4))/((-690)/(-36)*(-198)/660)?
1/23
What is ((-25200)/(-10080))/((-25)/48)?
-24/5
What is 2/4*-10*102/(-19975)*(-35)/(-7)?
6/47
What is the value of ((48/8)/36)/(51/14688)?
48
What is the value of (2/24)/(7332/(-27456)*22)?
-2/141
(-70)/(-8)*((-144)/1260)/((-6)/60)
10
Evaluate ((1/(-16))/(((-132)/1968)/11))/(44/(-176)).
-41
What is the value of (2*2*(-21)/28)/(39/650)?
-50
What is 5*(-3)/6*-66*58/(-449790)?
-1/47
Evaluate 12/(-5)*179/(30609/6270).
-88
Calculate ((-1)/3)/(3/27)*((-2068)/(-44))/987.
-1/7
What is (-5)/(-6)*18*(-22)/9768*4?
-5/37
What is the value of (24/(-7448))/((-3090)/(-14420))?
-2/133
Evaluate (5/4)/(((-2670)/(-5696))/((-126)/8)).
-42
What is the value of 97/25996*(-4)/6*12?
-2/67
Calculate ((-80)/150*(18/(-8))/(-3))/(8823/(-255)).
2/173
What is ((-15)/(-25))/((-22)/((-13552)/168))?
11/5
Calculate 20/(-14)*(-43750)/(-156250).
-2/5
Evaluate (-436)/218*108/(-6).
36
What is the value of ((-288)/(-1080))/((-5084)/930)?
-2/41
What is the value of (-425)/((-26775)/588)*(-2)/(8/6)?
-14
Calculate (280/70)/(((-8)/(-35))/(-2)).
-35
What is the value of (-225)/(-50)*(-16)/(-81)*4?
32/9
Calculate (93/(-7905)*(-204)/1356)/((-2)/(-20)).
2/113
Evaluate ((-1)/(-2)*(9/3)/1)/((-8697)/92768).
-16
Evaluate (-14)/(-14)*(-22)/8*20/175*7.
-11/5
Calculate (-5)/(8/(-42)*3060/(-20400)*70/36).
-90
Calculate 2/(-4)*(-206)/(62830/(-3355)).
-11/2
What is the value of 65*(-103)/((-39655)/(-154))*(-1)/4*-2?
-13
(-2)/(-150)*-1*630/(-315)
2/75
((-30)/25)/(-1*26/20*(-5958)/3972)
-8/13
What is the value of ((-4404)/(-1101))/((33/(-22))/(9/3396))?
-2/283
What is the value of (2/(-46))/((-2298)/1797036)?
34
Calculate 35/3080*-8*-242.
22
Evaluate 4/21*-12*(-180)/14400*135/(-6).
-9/14
What is (45/50)/(101/1010)?
9
(((-253917)/(-634))/(-267))/(3*3/276)
-46
What is ((-460)/(-925))/46*(-3)/(9/(-30))?
4/37
Evaluate (((-20)/(-25))/((-180)/50))/(7/84).
-8/3
Calculate (1988/(-3479))/((-4)/(-273)).
-39
((-897)/533)/(678/(-27798))
69
Calculate (-252)/(-108)*(-23)/161.
-1/3
(315/(-12))/(17612/(-30192))
45
Calculate 118*((-4)/(-10))/(1140/1425).
59
((-960)/20)/(1584/(-1188))
36
Evaluate ((-49)/(-5831))/(((-14)/(-245))/(34/(-85))).
-1/17
Calculate (4829/50046*-152)/(2/12*1*28).
-22/7
Calculate (177316/(-106024))/(2/(-116)).
97
(12/15)/((-38)/4750*25)
-4
Evaluate (((-5)/((-1000)/90))/(204/15980))/(6/(-16)).
-94
What is (-24)/20*25/(-150)*(-1140)/(-6)?
38
What is the value of 4*2*(1375/350)/((-130)/(-455))?
110
What is the value of (264/(-70)*((-1000)/(-15))/(-10))/(152/(-532))?
-88
(-72)/(-10)*45/(-480)*-40
27
What is 126*(-12)/40*140/(-378)*3?
42
Calculate (25/(-15))/(((-2890)/2142)/17).
21
(-576)/792*(-2)/(12/(-33))
-4
What is the value of ((-1)/95)/(((-4)/(-36))/((-35)/(-21))*-3)?
1/19
What is the value of (-6)/(-14)*42049/102119?
3/17
Calculate ((-1315)/526*18/15)/(((-38)/60)/19).
90
What is the value of ((-2)/21)/((-224)/(-8568)*17)?
-3/14
((-18)/6)/(84/(-27)*61/(-244))
-27/7
248651/(-1234)*2/(-13)
31
What is the value of (48/28)/(6/15*(-320)/2688)?
-36
Evaluate (-9)/3*51/((-96)/(-32))*2.
-102
What is (-2)/((12/536)/(6/4))?
-134
Evaluate (-915)/(-366)*16/20.
2
(240/56)/(-6)*((-132)/(-30))/(-22)
1/7
What is the value of 4*(-10)/(-132)*(-867)/1445?
-2/11
(156/2210)/((-16)/800*15)
-4/17
((-264)/55)/(294/(-28))*5
16/7
Calculate -25*(-4655)/(-2850)*4/(-10).
49/3
((21/18)/((-707)/(-303)))/((-1)/(2/(-2)))
1/2
What is the value of ((-10*7/280*20)/(7/1))/(-2)?
5/14
What is (-2)/(-5)*388240/(-6752)?
-23
Calculate (46215/474)/((-30)/24)*-1.
78
Evaluate (1094/27350)/(((-189)/60)/(-7)).
4/45
-2*(2277/(-814))/(-69)
-3/37
(13/1)/((-94107)/762)
-2/19
((-69)/(-9))/((31/(-713))/((-9)/69))
23
What is the value of (5822/355)/41*(-19)/(-418)*2/1?
2/55
Calculate (435/(-116)*(-340)/15)/(10/(-4)).
-34
Calculate (1/((-22)/12))/(4098/495858).
-66
Calculate ((-6)/(-6))/(2/(-6)*60/920).
-46
(-6)/312*16*208/(-544)
2/17
What is (-295)/((1/(-2))/((-17)/(-6970)*41))?
59
What is ((-5)/2)/((61/3660)/((-2)/12))?
25
What is (102/(-4))/17*412/1545?
-2/5
Evaluate ((1*-1)/(3/1))/(13066/3645414).
-93
What is the value of 92/(-759)*(5/45)/(34/(-51))?
2/99
What is the value of 3780/(-16632)*4/35?
-2/77
What is (3538/174)/(220/(-660))?
-61
Evaluate 7/(189/11016*-6).
-68
What is 150/400*-52*((-32)/(-120))/((-1)/(-10))?
-52
What is ((-176)/(-418))/((-14964)/(-3306))?
4/43
Calculate ((-230)/111320*44)/(2/(-30)).
15/11
Calculate ((-2387)/62)/((-1782)/648).
14
Calculate 58938/(-22)*60/(-1140).
141
Evaluate (-9)/11*(-4159)/24954.
3/22
(12/27)/(-1028*77/126)*-11
2/257
What is the value of 113/(2373/42)*(-1)/62?
-1/31
Evaluate (((-756)/273)/(-9))/(2/182).
28
(42/(-18))/(1085/465)*((-10)/2)/1
5
Calculate (18/8)/(((-7426)/376)/(-79)).
9
Evaluate ((-90)/(-1035))/(4/23).
1/2
What is (-12*32/(-512))/(5*(-24)/(-4240))?
53/2
What is ((-39)/(-12)*3/1)/(594/(-3168))?
-52
Evaluate ((22/7)/11)/(55/165*-6).
-1/7
Evaluate ((-3)/2*2)/((-347)/(-2776)*9*68).
-2/51
What is the value of ((-16)/(-36)*36/24)/(6/171)?
19
Calculate 1260/126*(-2)/(-4)*-7.
-35
What is 55/1*(20/(-24))/(-5)*4902/4085?
11
What is the value of ((16/(-4))/(-220))/(70/(-140))*420/(-336)?
1/22
Calculate ((-36)/150*1)/(-42*(-71)/(-9940)).
4/5
Calculate ((-60)/(-18))/(1705/53196).
104
Calculate (((-609)/6)/29)/(18/24)*36/(-1218).
4/29
Evaluate ((14*18/2205)/((-30)/(-105)))/(13/(-45)).
-18/13
Evaluate (-1)/((57/(-8))/((-150)/200)*8/(-2)).
1/38
What is 600/(-45)*3*(-23)/(-46)?
-20
What is (-2)/((-112)/(-343))*70/245*2/161?
-1/46
Calculate 1/((32/80)/((-138)/3565)).
-3/31
Calculate -21*(36/(-105)*1)/((-186)/(-1860)).
72
(17250/(-16905))/(5/7)
-10/7
Evaluate (1400/(-720))/((-476)/272).
10/9
What is (1720/516)/(4/((-576)/(-20)))?
24
Calculate (132/2816*-40)/(-5).
3/8
(-21)/(-11)*28820/1572
35
2/(32/56)*(8/(-12446))/((-144)/504)
1/127
(612/(-2805)*10/4)/((-222)/148)
4/11
Evaluate ((-11)/((-2695)/(-56)))/(12/(-28))*(-365)/219.
-8/9
Calculate 21*(-30)/70*2/9*(-567)/(-27).
-42
Calculate 25/(-340)*(6/(-50))/((-651)/2170).
-1/34
Calculate (-105)/(-350)*2440/48*4.
61
(2355/2826)/((-1950)/(-20))
1/117
(1652/(-3540))/((-33)/55)
7/9
What is (-6376)/(-7173)*63/(-686)?
-4/49
((-189)/117)/((-72)/104)
7/3
What is ((-4)/(-2))/((96/60)/(188/(-5)))?
-47
What is the value of 6*(314/12)/(-157)?
-1
Evaluate ((-54)/14)/(18990/17724).
-18/5
Calculate ((86/(-215))/(16/10)*8)/((-2)/(-61)).
-61
9540/159*6/(-225)
-8/5
What is the value of -209*((-2252)/(-3378))/(22/12)?
-76
225/(-210)*(-6076)/180110
3/83
Calculate (((-292)/438)/(12/18))/(-4).
1/4
Calculate (13/(-26))/(((-642)/4494)/(-3*(-8)/546)).
2/13
Evaluate (-4)/(-16)*-4*-3*(2/1)/(-38).
-3/19
What is 8265/11020*(-592)/60?
-37/5
What is the value of (765/595)/((-6)/28*1)?
-6
What is (-129)/(-2193)*(-4)/2*2?
-4/17
((-12)/14)/(4026/(-319396))
68
What is (-9)/(126/7)*(5016/4)/19?
-33
What is the value of (2139/62*24)/(-9)?
-92
-215*(-37)/(-185)*(-33)/(-33)
-43
Calculate (-80)/512*216/(-810).
1/24
Calculate (-210)/84*(12/3)/((-185)/(-1813)).
-98
What is 2232/(-465)*((-6)/45)/(2/(-50))?
-16
What is the value of ((-11744)/52848)/(6/9)?
-1/3
Evaluate 30/56*(-3766)/(-9415).
3/14
Calculate ((190323/15)/159)/19.
21/5
What is 20/(-9)*20/(-340)*(-238)/(-28)?
10/9
(-110)/6*564/(-235)*-5*1/(-4)
55
What is the value of ((2/4)/(181/362))/((-41)/2)?
-2/41
Calculate 13/1*(-278)/139.
-26
(568/3124)/((-4)/(44/(-37)))
2/37
(-32)/64*4/1*-3
6
What is the value of (-207)/253*(-22)/123?
6/41
What is the value of 750/4375*5/3*-2*(-21)/(-102)?
-2/17
What is (-4)/40*-1*(-100)/(-1260)*-7?
-1/18
2/(-4)*-5*(-70)/105*(-564)/(-155570)
-2/331
What is the value of (16/2*(-20)/(-32))/(-1)?
-5
What is ((-1)/(-15))/(1486/(-59440))?
-8/3
-176*66*40/14520
-32
Calculate 1/(10/60*7*(-6)/(-315)).
45
What is the value of 198/108*-2*45/(-135)?
11/9
(286/198)/((-78)/(-9))
1/6
Calculate 15/(-7)*(-2 | {
"pile_set_name": "DM Mathematics"
} |
f 2*i**2*j + 189*i**2 - 14*i - 252*j wrt j?
2*i**2 - 252
Find the second derivative of 2*o*w**2 - o*w + 606*o - 864*w**2 wrt w.
4*o - 1728
Find the second derivative of i**5*o + 205*i**4*o - 2*i*o + 9*i - 3*o wrt i.
20*i**3*o + 2460*i**2*o
Find the second derivative of -5*d**3 + 333*d**2 + 3548*d.
-30*d + 666
Differentiate 239*x**3 - 17.
717*x**2
What is the derivative of -90*v**4 - 74?
-360*v**3
What is the third derivative of 63*m**3*y**6 - m**3 - m*y**6 + 183*m*y**2 - y**2 wrt y?
7560*m**3*y**3 - 120*m*y**3
Differentiate -4*u*w**2*x + 288*u*w*x + 112*u*x - 2*w**2 + 2*x with respect to w.
-8*u*w*x + 288*u*x - 4*w
Find the second derivative of 12365*d**3*y**2 - d**3*y + 6*d**3 + 4*d**2 + 31*d*y wrt y.
24730*d**3
Find the third derivative of v**4 + 91*v**3 - 469*v**2.
24*v + 546
Differentiate 2975*s**2*t**2 - 37*s**2*w - s**2 + 2*s*t*w + 25*s*w - 2 with respect to t.
5950*s**2*t + 2*s*w
Differentiate -r**4 + 107*r**3 + 1401.
-4*r**3 + 321*r**2
What is the third derivative of -m**4*v**2 + 282*m**3*v**3 + 2*m**2*v**2 - 166*m*v**3 wrt m?
-24*m*v**2 + 1692*v**3
What is the second derivative of 24*n**3*q**5 - 2*n**3*q**3 + 49*n**3*q - n*q - 2 wrt q?
480*n**3*q**3 - 12*n**3*q
What is the third derivative of 4*m*x**4 + 113*m*x**2 + 663*x**4 - 2*x**3 - 38*x**2 wrt x?
96*m*x + 15912*x - 12
What is the second derivative of -9*d**3*p**2 - d**3 + 177*d*f*p - 4*f*p**2 - 2*f*p wrt p?
-18*d**3 - 8*f
Differentiate 1745*q - 15942 wrt q.
1745
Find the second derivative of -3037*z**2 + 184*z - 6 wrt z.
-6074
Find the third derivative of -f*w**4 + 1194*f*w**3 - 2*f*w + w**3 + 65*w**2 wrt w.
-24*f*w + 7164*f + 6
Differentiate -2*d*f**2*p + 2*d*f*p**3 - 6*d*p + 4*d - 1392*f**2*p + 24*p**3 + 2 wrt f.
-4*d*f*p + 2*d*p**3 - 2784*f*p
Find the second derivative of 38*i*w**3 - 5*i*w + 2*i + 20*w**3 - 2*w - 30 wrt w.
228*i*w + 120*w
Differentiate -36*a**2 - 3*a - 157 with respect to a.
-72*a - 3
Find the second derivative of 804*w**5 - w + 27.
16080*w**3
What is the second derivative of -2*k*w**3 + 18*k*w**2 - 138*k - 16*w**2 - 3*w wrt w?
-12*k*w + 36*k - 32
What is the first derivative of 2*i**3 - 54*i**2 + i - 3417 wrt i?
6*i**2 - 108*i + 1
What is the second derivative of -10*h**4*o**2 + 23*h**2*o**2 + 3*h*o**2 + 6*h wrt h?
-120*h**2*o**2 + 46*o**2
What is the third derivative of 722*b**5 + b**2 - 263*b?
43320*b**2
Find the third derivative of -125*t**5*w**2 - 3*t**3*w**3 - 235*t**2 + t*w**3 + 2*w**3 wrt t.
-7500*t**2*w**2 - 18*w**3
What is the second derivative of 2*k**5*t + 497*k**4*t**2 + 3*k*t**2 - k - 126*t**2 wrt k?
40*k**3*t + 5964*k**2*t**2
What is the third derivative of -8*t**4*z + 1034*t**4 - 584*t**2 - 3*t*z + t + z wrt t?
-192*t*z + 24816*t
What is the derivative of -18*g**2*y - 288*g**2 + y wrt y?
-18*g**2 + 1
Find the second derivative of 28*d**2*f**4 + 65*d**2*f - 2*f**3*z - f*z + f wrt f.
336*d**2*f**2 - 12*f*z
What is the first derivative of 3*b**3*q - 130*b**3 + 11*b**2*q - 2*b**2 - 22*b*q - 3*b wrt q?
3*b**3 + 11*b**2 - 22*b
Find the third derivative of -61*q**4 + q**3 + 47*q**2 - 4 wrt q.
-1464*q + 6
What is the derivative of 8*a**2*j + 44*a*j**2 + 2*a - 5*j**2 - 71 wrt a?
16*a*j + 44*j**2 + 2
Differentiate -a**2*w - 2*a*w - 86*a + w - 313 wrt a.
-2*a*w - 2*w - 86
What is the derivative of 3*g*q - 3*g - 213*q - 70 wrt q?
3*g - 213
What is the first derivative of 7837*v - 5190 wrt v?
7837
Differentiate -29922*z**4 - 31777 wrt z.
-119688*z**3
What is the first derivative of -736*o - 367?
-736
What is the derivative of 7068*i**4 - 6181 wrt i?
28272*i**3
What is the first derivative of 9318*h**2*z**3 + 2*h**2*z + 2*z**3 - 114*z**2 + 6 wrt h?
18636*h*z**3 + 4*h*z
Find the third derivative of 892*q**3 + 931*q**2.
5352
Find the third derivative of -206*h**5*n + 2*h**4*n - h**2*n + h*n - 226 wrt h.
-12360*h**2*n + 48*h*n
What is the derivative of -244*h**2 + 187?
-488*h
Differentiate 312*s**2 - 255 wrt s.
624*s
Find the third derivative of -90*n**4 + 175*n**2 wrt n.
-2160*n
What is the third derivative of -3*a**2*y**3 - a**2*y**2 + 4*a**2 - 4*a*y**6 + 9*a*y wrt y?
-18*a**2 - 480*a*y**3
Find the second derivative of -29*h**3*z**5 + 2*h**3*z**2 - 56*h**3*z + 2*h*z wrt z.
-580*h**3*z**3 + 4*h**3
Find the first derivative of -10*l*r**3*u*y**3 - 149*l*r**3*u*y - 6*l*r**3*y**2 + 8*l*r**3 - 2*l*y**3 - r*y**3 wrt u.
-10*l*r**3*y**3 - 149*l*r**3*y
Find the third derivative of 4*l*q**5*z + 34*l*q**2 - 27*l*q*z + 105*q**4*z + q**3 wrt q.
240*l*q**2*z + 2520*q*z + 6
What is the derivative of a**2*m + 18*a**2 + 3*a*m**2 - 2*m**2 + 234 wrt a?
2*a*m + 36*a + 3*m**2
What is the first derivative of -65*k**3*r + k**3 + 7*k**2 wrt r?
-65*k**3
Differentiate -8928*x + 4378 wrt x.
-8928
What is the third derivative of 94*o**6 - 288*o**2?
11280*o**3
Find the second derivative of -3*b**5*v**3 + 69*b**5 + 279*b*v**3 wrt b.
-60*b**3*v**3 + 1380*b**3
What is the first derivative of 508*l**4 - 2*l*q**2 - 1917*q**2 wrt l?
2032*l**3 - 2*q**2
Find the second derivative of -c**5*m**2 - 52*c**5*m - 66*c*m + 3*m**2 wrt c.
-20*c**3*m**2 - 1040*c**3*m
What is the derivative of 2*f**3*h - 18*f*h*l + f*l - 989*h*l - l wrt f?
6*f**2*h - 18*h*l + l
What is the second derivative of 21*d**3*w + 30*d**3 - d**2*w - 16*d - 2*w + 3 wrt d?
126*d*w + 180*d - 2*w
What is the third derivative of 2*s**6 + 37*s**5 - 6*s**2 - 13*s?
240*s**3 + 2220*s**2
What is the first derivative of -2*w**4 + 170*w**3 - 203?
-8*w**3 + 510*w**2
What is the second derivative of 2*i**4 + 14*i**2*k - 2*i - 168*k wrt i?
24*i**2 + 28*k
Find the first derivative of -2*h*n**2 + 406*h + 3*n**2 - 718*n + 1 wrt h.
-2*n**2 + 406
Find the third derivative of 2*u**6*w**2 - u**3*w**3 + 16*u**3*w - 270*u**2*w**3 wrt u.
240*u**3*w**2 - 6*w**3 + 96*w
Find the first derivative of 11688*d**4 + 7954 wrt d.
46752*d**3
What is the third derivative of -2*x**6 + 12*x**3 + 154*x**2 + 5*x wrt x?
-240*x**3 + 72
Find the second derivative of -4*g**3*r - g**3 + g**2 + g*r - 5*g - 22 wrt g.
-24*g*r - 6*g + 2
Differentiate -19*j**4 + 307*j - 6297 with respect to j.
-76*j**3 + 307
Find the second derivative of 3*a**3 + 8*a**2*h + 5*a*h + 2*a + 22*h wrt a.
18*a + 16*h
What is the second derivative of 18*i**4 + 13*i**3 - 5*i**2 + 3290*i?
216*i**2 + 78*i - 10
Differentiate -2*t**4 - 73*t**3 - 74 with respect to t.
-8*t**3 - 219*t**2
What is the third derivative of -6*f**2*h**3 - 2*f**2*h + 2*f**2*k**3 + f*h**3*k**3 - 4*h**2*k**3 - 4*h*k wrt h?
-36*f**2 + 6*f*k**3
Find the second derivative of -7*c**3 - 460*c**2 - 10342*c.
-42*c - 920
What is the second derivative of -8922*y**3 + 123*y?
-53532*y
What is the third derivative of -853*m**3 - 186*m**2 wrt m?
-5118
What is the derivative of -642*h*r**3 + 2*h*r**2 + 4*r**3 - 7*r**2 + 47 wrt h?
-642*r**3 + 2*r**2
Find the third derivative of 16*h**4*m**2*v - 4*h**3*m**3 + h**3*m*v + 3*h**2*m + 3*h**2*v - 12*h*m**3*v wrt h.
384*h*m**2*v - 24*m**3 + 6*m*v
Find the third derivative of 52*g**2*o**3 - 2*g**2*o - 5*o**5 - 255*o**2 wrt o.
312*g**2 - 300*o**2
Find the third derivative of -1555*a**3 + 1735*a**2 wrt a.
-9330
Find the second derivative of 2*x*z**4 - 5*x*z**3 + x*z + 11*x + 86*z**3 + 8*z - 4 wrt z.
24*x*z**2 - 30*x*z + 516*z
What is the third derivative of 56*b**3*s**2 + 23*b**3 - 5*b**2 + 4*b*s**2 - 5*s wrt b?
336*s**2 + 138
What is the first derivative of -3*u**4 + 212*u**3 - 5*u - 308 wrt u?
-12*u**3 + 636*u**2 - 5
What is the third derivative of -5*m**3*r**3 - 10*m**3*r - 4*m**3 + 2*m**2*r**3 + 4*m*r**2 wrt r?
-30*m**3 + 12*m**2
Find the second derivative of -30*h**4 + 4*h**3 - 85*h wrt h.
-360*h**2 + 24*h
What is the first derivative of -126*i - 32?
-126
Find the third derivative of 159*l**3 - 141*l**2.
954
Find the first derivative of 601*a*x**2 + a*x - 283*a + 2 wrt x.
1202*a*x + a
What is the first derivative of 1231*y**3 + y**2 - 4*y - 6811 wrt y?
3693*y**2 + 2*y - 4
What is the second derivative of -209*g*k**5 + 2*g*k**4 + g*k + 3*g + 2*k - 277 wrt k?
-4180*g*k**3 + 24*g*k**2
Find the first derivative of 2*u**2*y**2 - 35*u**2 - 32*y**3 wrt y.
4*u**2*y - 96*y**2
Find the third derivative of 292*r**6 + r**5 - 138*r**2 - 16.
35040*r**3 + 60*r**2
What is the second derivative of 173*b**4 + 155*b + 1 wrt b?
2076*b**2
What is the third derivative of -42*f**3*k**3 - 30*f**3*n**3 + 20*f**2*k**3*n**2 + 20* | {
"pile_set_name": "DM Mathematics"
} |
ecimal place.
-199.4
What is 2840398333 rounded to the nearest 1000000?
2840000000
What is -0.0000022966451 rounded to seven decimal places?
-0.0000023
What is 0.7542828 rounded to zero dps?
1
What is -1242.66425 rounded to the nearest one hundred?
-1200
What is -14.05077907 rounded to two decimal places?
-14.05
What is 0.66927699 rounded to 3 dps?
0.669
Round 0.08327573926 to 2 dps.
0.08
Round -0.00250050889 to seven dps.
-0.0025005
What is 22242752200 rounded to the nearest 1000000?
22243000000
What is -567068.46 rounded to the nearest 10000?
-570000
Round 1593.39479 to one decimal place.
1593.4
Round -0.225820853 to two dps.
-0.23
What is 0.0541284691 rounded to 5 dps?
0.05413
Round 2632.590411 to the nearest ten.
2630
Round -39320.9085 to the nearest one thousand.
-39000
Round 2741373.34 to the nearest 10000.
2740000
Round 2617589.015 to the nearest 10000.
2620000
What is 76316.461 rounded to the nearest one hundred?
76300
Round -0.00085252669 to four decimal places.
-0.0009
What is -1.56025166 rounded to four dps?
-1.5603
Round 18664813.434 to the nearest 100.
18664800
What is -0.00311223995 rounded to 4 decimal places?
-0.0031
What is -0.0000192879379 rounded to 7 decimal places?
-0.0000193
Round -9319818.7 to the nearest one thousand.
-9320000
What is -0.000481331152 rounded to 4 decimal places?
-0.0005
What is 0.053713266 rounded to three decimal places?
0.054
What is 0.000001169052281 rounded to seven decimal places?
0.0000012
What is 220549862.7 rounded to the nearest ten thousand?
220550000
Round 41.6599705 to 1 decimal place.
41.7
What is -155262125.04 rounded to the nearest 1000?
-155262000
What is -11.20788719 rounded to one dp?
-11.2
What is -0.9055338 rounded to 1 decimal place?
-0.9
What is 74859360.8 rounded to the nearest 100000?
74900000
What is -0.0000003162794 rounded to 7 decimal places?
-0.0000003
Round -4517.455535 to the nearest 100.
-4500
What is 41211692300 rounded to the nearest one million?
41212000000
What is -2415045.6 rounded to the nearest 100000?
-2400000
What is 2.60588446 rounded to 4 decimal places?
2.6059
What is -30766.7973 rounded to 0 dps?
-30767
Round -146243005.4 to the nearest 1000000.
-146000000
Round 4050512.528 to the nearest one thousand.
4051000
What is 2867.7299 rounded to the nearest 100?
2900
Round 0.003509761294 to 7 decimal places.
0.0035098
What is -18.48894565 rounded to two decimal places?
-18.49
Round -9.7528378 to the nearest integer.
-10
Round -5833218.44 to the nearest ten thousand.
-5830000
What is -557006993.7 rounded to the nearest 10000?
-557010000
What is -3028905500 rounded to the nearest 100000?
-3028900000
What is 469.234707 rounded to 1 dp?
469.2
What is 0.01407856155 rounded to three decimal places?
0.014
What is -1959.64926 rounded to one decimal place?
-1959.6
What is 1860.76705 rounded to the nearest 100?
1900
Round 2443.8222 to one decimal place.
2443.8
Round -0.00014302761186 to 7 decimal places.
-0.000143
Round -43608963 to the nearest 1000000.
-44000000
Round -0.02118326264 to 3 decimal places.
-0.021
What is -0.1235219535 rounded to five decimal places?
-0.12352
Round -0.0001147109224 to 5 decimal places.
-0.00011
What is 0.000622631396 rounded to four decimal places?
0.0006
Round 0.00478579438 to 7 dps.
0.0047858
Round -2099907.857 to the nearest 1000.
-2100000
Round -0.0030609153 to five decimal places.
-0.00306
What is 794591.028 rounded to the nearest 1000?
795000
What is 36377544.15 rounded to the nearest one million?
36000000
What is 0.0000290988423 rounded to 7 dps?
0.0000291
Round 26934760.9 to the nearest 1000.
26935000
What is 9587098.52 rounded to the nearest 100000?
9600000
Round 436131.2188 to the nearest 10000.
440000
Round 0.00162395915 to 3 decimal places.
0.002
Round 116717.1532 to the nearest 100.
116700
What is -1145.64581 rounded to the nearest 10?
-1150
What is -422686.9818 rounded to the nearest 10000?
-420000
What is -3.1969139 rounded to the nearest integer?
-3
Round -92.542314 to the nearest ten.
-90
Round -0.060013969 to four decimal places.
-0.06
Round 22715257 to the nearest 1000.
22715000
Round -0.000758379692 to six dps.
-0.000758
Round 618539.7 to the nearest one hundred thousand.
600000
What is 0.000894500875 rounded to seven dps?
0.0008945
What is 82771.23 rounded to the nearest 100?
82800
What is 0.00001954838543 rounded to 6 dps?
0.00002
Round 764892254.2 to the nearest 10000.
764890000
What is 624360230 rounded to the nearest one million?
624000000
Round 5794.7049 to the nearest 1000.
6000
What is 0.0006885335699 rounded to 5 dps?
0.00069
Round 2.02733839 to one decimal place.
2
Round -0.0980922076 to 6 decimal places.
-0.098092
What is -319801.982 rounded to the nearest 100?
-319800
Round 0.0739914761 to two decimal places.
0.07
Round -815.92268 to the nearest integer.
-816
What is -2880.47911 rounded to the nearest 100?
-2900
What is -823049.785 rounded to the nearest one thousand?
-823000
What is -0.04745167855 rounded to 3 dps?
-0.047
What is 25917.7783 rounded to the nearest 1000?
26000
What is -0.1809235927 rounded to five dps?
-0.18092
What is 93.483583 rounded to one dp?
93.5
What is 0.000889433938 rounded to 4 decimal places?
0.0009
What is -5.555691056 rounded to one dp?
-5.6
What is -0.00000473060106 rounded to 6 decimal places?
-0.000005
Round -76399.9455 to the nearest one hundred.
-76400
Round -37.2875554 to 1 decimal place.
-37.3
Round 5.5030069 to one decimal place.
5.5
What is -0.0220222169 rounded to 5 decimal places?
-0.02202
Round -0.03333820612 to four dps.
-0.0333
What is -60841.891 rounded to the nearest ten thousand?
-60000
What is -687.641166 rounded to 0 dps?
-688
Round 42.297165 to the nearest integer.
42
Round -1066810493 to the nearest 1000000.
-1067000000
Round 0.00000571800129 to 6 decimal places.
0.000006
What is 133614.654 rounded to the nearest 100?
133600
Round 0.000992822007 to seven dps.
0.0009928
Round 0.0000273341575 to 7 dps.
0.0000273
What is -0.000268526504 rounded to six decimal places?
-0.000269
What is -25018.4788 rounded to the nearest one thousand?
-25000
Round -1220176.746 to the nearest one hundred thousand.
-1200000
What is 10134.45482 rounded to zero dps?
10134
Round 11440866 to the nearest one hundred thousand.
11400000
What is -0.001515200016 rounded to five dps?
-0.00152
What is 12255.41543 rounded to the nearest one thousand?
12000
What is 132073043 rounded to the nearest 10000?
132070000
Round -2556.45067 to the nearest 10.
-2560
Round 0.0051092918 to 5 dps.
0.00511
What is 0.00110117548 rounded to five decimal places?
0.0011
Round 0.0000109415509 to seven decimal places.
0.0000109
Round -0.00148501686 to six decimal places.
-0.001485
What is -1562.49216 rounded to one decimal place?
-1562.5
What is -1607604.2 rounded to the nearest ten thousand?
-1610000
What is 11509.415 rounded to the nearest one hundred?
11500
What is -0.0022462511 rounded to 2 decimal places?
0
Round -54.31107243 to one decimal place.
-54.3
What is -102032.16549 rounded to the nearest ten thousand?
-100000
What is 0.94907652 rounded to 1 dp?
0.9
Round 149.902425 to one decimal place.
149.9
Round -0.0028040149 to five decimal places.
-0.0028
Round -27523116268 to the nearest one hundred thousand.
-27523100000
What is -6525616901 rounded to the nearest 100000?
-6525600000
Round -227049.634 to the nearest 10.
-227050
Round -18.7853325 to zero decimal places.
-19
What is 465.47585 rounded to the nearest one hundred?
500
Round 0.2472036676 to two decimal places.
0.25
Round 26.303429 to the nearest ten.
30
What is 0.02979237 rounded to 3 dps?
0.03
What is -1676974.283 rounded to the nearest 100?
-1677000
What is 1312875.7 rounded to the nearest 10000?
1310000
Round -0.063743998 to 2 dps.
-0.06
What is 915727.086 rounded to the nearest one hundred?
915700
What is 17157466.4 rounded to the nearest 1000000?
17000000
What is -6143.37144 rounded to the nearest integer?
-6143
Round -226998.27 to the nearest 1000.
-227000
What is 114514111300 rounded to the nearest one million?
114514000000
What is 815.81255 rounded to the nearest 10?
820
Round -274.597277 to the nearest one hundred.
-300
Round -376780.932 to the nearest ten thousand.
-380000
What is 0.00000828604355 rounded to six dps?
0.000008
What is -0.0586 | {
"pile_set_name": "DM Mathematics"
} |
*3 + 2.
h**3 + 2
Collect the terms in 11513*r**2 - 2 - 3 - 11321*r**2 + 5.
192*r**2
Collect the terms in 4*r**2 - 3*r - 2*r**2 - 6*r**2.
-4*r**2 - 3*r
Collect the terms in -32*n + 64*n - 22*n + n**2 - 15*n.
n**2 - 5*n
Collect the terms in -7005*d**2 + 6911*d**2 + d - d.
-94*d**2
Collect the terms in 129 + 5*k + 137 + 3*k - 266.
8*k
Collect the terms in -143*c - 154*c + 308*c.
11*c
Collect the terms in 2*d**2 + 0*d**2 + 396*d - 396*d - 4*d**2.
-2*d**2
Collect the terms in -334*o**2 - 444*o - 343*o**2 + 444*o + 668*o**2.
-9*o**2
Collect the terms in 3971*h**3 - 32*h + 32*h - 3969*h**3.
2*h**3
Collect the terms in -4 + 7 - 2236*w + 1 + 0.
-2236*w + 4
Collect the terms in 27*u - 1 - 26*u - 13*u - 16*u.
-28*u - 1
Collect the terms in 2 + 0 - 2 + 1311*r.
1311*r
Collect the terms in 747890201 + 3*m - 747890201.
3*m
Collect the terms in 46*b + 73*b - 17*b.
102*b
Collect the terms in 50*a + 1050*a**2 - 50*a.
1050*a**2
Collect the terms in -288*k**3 - 14*k**2 - 9*k + 18*k**2 + 10*k - 4*k**2.
-288*k**3 + k
Collect the terms in 257 - 2*m**2 - 250 - 7.
-2*m**2
Collect the terms in -614 + 614 + 1513*y.
1513*y
Collect the terms in -2344*a**2 + 4*a - 4*a + 2386*a**2.
42*a**2
Collect the terms in -2902*x**2 + 5797*x**2 - 2896*x**2.
-x**2
Collect the terms in -216*q + 608*q - 199*q - 194*q.
-q
Collect the terms in -36*z**2 - 22*z + 16*z**2 + 22*z.
-20*z**2
Collect the terms in -38150*v**2 + 38150*v**2 + 2*v**3 - v**3.
v**3
Collect the terms in -539*w + 2159*w - 544*w - 535*w - 543*w.
-2*w
Collect the terms in -69859*r**2 + 34768*r**2 + 35094*r**2.
3*r**2
Collect the terms in -9*m**2 + 0*m + 89*m**2 - m.
80*m**2 - m
Collect the terms in 200*x - 493*x + 206*x + 88*x.
x
Collect the terms in 163*r**2 + 305*r**2 - 465*r**2.
3*r**2
Collect the terms in -7*x - 14*x - 18*x + 16*x - 4.
-23*x - 4
Collect the terms in -265 - 847 + 1112 + 2*o**2.
2*o**2
Collect the terms in 17*s**3 - 35*s**2 + 69*s**3 + 23*s**3 + 35*s**2.
109*s**3
Collect the terms in 3*s**2 + 151*s**3 - 3*s**2 - 209*s**3 + 56*s**3.
-2*s**3
Collect the terms in 3*l - 311556 + 3*l - 2*l + 311563 - 6*l.
-2*l + 7
Collect the terms in -2 - 213*j + 108*j + 117*j + 2.
12*j
Collect the terms in -3*p**3 - 8*p**2 - 144*p + 1 + 59*p - 1.
-3*p**3 - 8*p**2 - 85*p
Collect the terms in 43*v - 73*v - 47*v + 41*v + 45*v.
9*v
Collect the terms in -1566*s**3 - 192 + 1548*s**3 + 96 + 96.
-18*s**3
Collect the terms in -1 + 2 + 45*p - 10*p + 61*p.
96*p + 1
Collect the terms in 288*l - 148*l + 1339*l.
1479*l
Collect the terms in -10824*u - 4*u**2 - 21*u**2 + 10824*u.
-25*u**2
Collect the terms in 257 - 135 - 6*h**2 - 122.
-6*h**2
Collect the terms in 15*o**2 - 28 + 16 - 17*o**2.
-2*o**2 - 12
Collect the terms in -209*n - 452*n - 64*n.
-725*n
Collect the terms in -5*u - 15005*u**2 + 15008*u**2 + 16*u.
3*u**2 + 11*u
Collect the terms in 4744*z + 15 + 18 - 33.
4744*z
Collect the terms in -211*s**2 - 2 - 5739*s**3 + 211*s**2.
-5739*s**3 - 2
Collect the terms in 297*s - 1 - 1771*s + 1 - 736*s.
-2210*s
Collect the terms in -2*p - 10 - p + 0 - 13 - 10.
-3*p - 33
Collect the terms in -522*o**2 + 7*o**3 + 522*o**2 + 9*o**3.
16*o**3
Collect the terms in 208*h**2 + 15*h - 10*h - 9*h + 1.
208*h**2 - 4*h + 1
Collect the terms in 327*l + 303*l + 302*l - 931*l.
l
Collect the terms in -52*d**3 - 7 + 50*d**3 - 2 - 12*d - 2.
-2*d**3 - 12*d - 11
Collect the terms in -u**2 + 11615*u + 11286*u - 22901*u.
-u**2
Collect the terms in -9058 - 13*k - 9096 + 18154 - 7*k.
-20*k
Collect the terms in 458*a**2 - 14*a**3 - 1418*a**2 + 454*a**2 + 506*a**2.
-14*a**3
Collect the terms in -27 - 2 - 15 + 6*p**3 - 14.
6*p**3 - 58
Collect the terms in -22*l**2 + 96*l**2 + 195*l**2 + 60*l**2 + 11*l**2.
340*l**2
Collect the terms in 25 - 9*x**3 + 3*x**3 - 98 + 28 + 36.
-6*x**3 - 9
Collect the terms in -724*l**3 + 258*l**3 + 264*l**3 + 203*l**3.
l**3
Collect the terms in -1641*o**2 + 2708*o**2 + 4473*o**2.
5540*o**2
Collect the terms in d**3 + 185511 - 185511.
d**3
Collect the terms in -375 + 2*r**3 + 54 + 123 + 75.
2*r**3 - 123
Collect the terms in -169*c**3 + 354*c**3 - 276*c**3.
-91*c**3
Collect the terms in -9629*h + 19156*h - 9657*h.
-130*h
Collect the terms in 94 - 20 - 24 + 11*p - 25 - 25.
11*p
Collect the terms in -16 + 27*t**2 - 17 + 36.
27*t**2 + 3
Collect the terms in 86 - 16 + 20 + r + 90.
r + 180
Collect the terms in 85*n - 17*n - 21*n - 25*n - 24*n.
-2*n
Collect the terms in -250324*i**2 + 250324*i**2 + i**3.
i**3
Collect the terms in 17*i + 32*i - 14*i + 29*i.
64*i
Collect the terms in -1063*t**3 + 12*t**2 - 17*t**2 + 9*t**2.
-1063*t**3 + 4*t**2
Collect the terms in 65 - 170 - 29*g + 61 + 44.
-29*g
Collect the terms in -9 + 4 + 25*r**2 + 5.
25*r**2
Collect the terms in 1311*l**2 - 2608*l**2 + 1304*l**2.
7*l**2
Collect the terms in 2806 - 1419 - 2*l - 1387.
-2*l
Collect the terms in 147102 + 147103 - 588413 - 5*r**3 + 147105 + 147103.
-5*r**3
Collect the terms in -2*t + 4*t + 32*t - 32*t - 4*t.
-2*t
Collect the terms in 22612 + 3*b**3 - 3*b**2 + 0*b + 0*b - 2*b**3.
b**3 - 3*b**2 + 22612
Collect the terms in 280*a - 557*a - a**3 - 3*a**3 + 2*a**3 + 277*a.
-2*a**3
Collect the terms in 65*f - f**2 + 407*f + 4*f**2.
3*f**2 + 472*f
Collect the terms in -258790833 + 18*b**2 - 9*b**2 + 258790833.
9*b**2
Collect the terms in 10*m**3 + 127*m**3 - 90747 + 90746.
137*m**3 - 1
Collect the terms in -4552*v - 4546*v + 9095*v.
-3*v
Collect the terms in 893*i**2 - 890*i**2 + 33 - 64 + 31.
3*i**2
Collect the terms in 9*f**3 + 0*f**3 + 28*f**3 + 494*f - 494*f.
37*f**3
Collect the terms in -5 - 1 + 309*k - 6.
309*k - 12
Collect the terms in -10*t**2 - 7*t**2 - 5*t**2.
-22*t**2
Collect the terms in 734*h**2 + 317*h**2 + 51*h**2.
1102*h**2
Collect the terms in 48*z**2 + 13 + 21*z**2 - 75*z**2.
-6*z**2 + 13
Collect the terms in -5508*v - 5498*v + 11006*v - 14*v**2.
-14*v**2
Collect the terms in -204*d + 3094*d**2 + 204*d - 3097*d**2.
-3*d**2
Collect the terms in 1833*t - 915*t - 913*t + 17.
5*t + 17
Collect the terms in 0*t - t - 4*t + 24*t - 27*t.
-8*t
Collect the terms in 2*b - 192 - 132 - 156 + 153.
2*b - 327
Collect the terms in 13 - 12*b - 9*b - 23*b + 4.
-44*b + 17
Collect the terms in -212647869 + 212647869 - 5*h.
-5*h
Collect the terms in -25 - 5 + 15 + 15 + 214*u.
214*u
Collect the terms in 6*o - 6*o + 1510*o**2 + 72778*o**2.
74288*o**2
Collect the terms in 167925*u**2 + 167921*u**2 - 335840*u**2.
6*u**2
Collect the terms in -19*h**3 - 24*h**3 + 96*h**3 - 20*h**3 - 29*h**3.
4*h**3
Collect the terms in 1 + 883*l - 3 - 294*l.
589*l - 2
Collect the terms in 15*m + 6*m - 2 - 2 - 35*m + 3*m.
-11*m - 4
Collect the terms in v + 11*v**2 - 2*v - 542*v**2 + 33*v**2 + 3*v.
-498*v**2 + 2*v
Collect the terms in -3935*h**2 - 3931*h**2 + 7865*h**2 + 6*h - 6*h.
-h**2
Collect the terms in 69*b + 26 + 28 + 3*b**2 - 2*b**2 - 20.
b**2 + 69*b + 34
Collect the terms in -13*q + 204*q - 90 - 10.
191*q - 100
Collect the terms in -582 - 164*i - 189 + 151*i.
-13*i - 771
Collect the terms in 24*j - 170*j - 32*j.
-178*j
Collect the terms in -1500060*o + 211*o**2 + 1500060*o - 213*o**2.
-2*o**2
Collect the terms in 2*y - 5 - 22 + 6 + 8.
2*y - 13
Collect the terms in -30*j**2 - 21*j**2 + 134*j**2 - 62*j**2 - 22*j**2.
-j**2
Collect the terms in -372*y**2 + 556 - 556.
-372*y**2
Collect the terms in -106 + 2506*v**3 + 620 - 2508*v**3.
-2*v**3 + 514
Collect the terms in -1492 - 4*r**2 - 2*r**2 + 2838 - 1346.
-6*r**2
Collect the terms in 0*i - 17*i**2 - 4*i + 160*i**2.
143*i**2 - 4*i
Collect the terms in 40*s - 46*s - 26*s - 37*s - 28*s.
-97*s
Collect the terms in -11*z - z**3 - 36 + 11*z + 5*z**3.
4*z**3 - 36
Collect the terms in 89*y + 0*y - 13*y + 68*y.
144*y
Collect the terms in -892*m - 580*m + 758*m - 1430*m.
-2144*m
Collect the terms in 29*j**3 - 8*j**2 + 119*j**3 - 24*j**3 + 8*j**2.
124*j**3
Collect the terms in -3561*i**3 + 1779*i**3 + 1838*i**3.
56*i**3
Collect the terms in -8216 + 16371 - 19*j - 8155.
-19*j
Collect the terms in 207*r**3 - 105*r**3 + 8*r**2 - 8*r**2 - 104*r**3.
-2*r**3
Collect the terms in 13 + 0 - 6 - 4 - 4 + 44*b.
44*b - 1
Collect the terms in 23*a**2 - 5*a**2 - 21*a**2 - 1.
-3*a**2 - 1
Collect the terms in 7*i + 2*i + 72*i**2 - 2*i - 2 + 10*i**2.
82*i**2 + 7*i - 2
Collect the terms in -5935627449 + 2*q**3 + 5935627449.
2*q**3
Collect the terms in 81*c - c**3 - 32*c - 3 | {
"pile_set_name": "DM Mathematics"
} |
positive.
z**(-131/18)
Simplify (d**3*d*d/d**2)/(d**3/d**1) assuming d is positive.
d
Simplify (q**(1/4)/q)**32*(q*q*q/(q*q*q**(2/29)))/q*q**11 assuming q is positive.
q**(-379/29)
Simplify c**(-3/5)/((c/((c*(c/(c/(c/(c/((c*(c*c**19*c)/c)/c)))))/c)/c))/c) assuming c is positive.
c**(92/5)
Simplify (((s*s**(-2/11))/s*s)**(-24))**(-4/7) assuming s is positive.
s**(864/77)
Simplify g**(-28)*g*g**13 assuming g is positive.
g**(-14)
Simplify ((t*(t/(t*(t*(t**(-1/4)/t*t)/t)/t))/t)/t)**(-50)*(t**(-2))**(-5/2) assuming t is positive.
t**(-15/2)
Simplify (o**(1/2)*o**(-4/3)*o)**45 assuming o is positive.
o**(15/2)
Simplify (t**0)**(-27) assuming t is positive.
1
Simplify n**(6/13)/n**(-1/6)*(n*(n**(-1)*n)/n)/(n**(-1)/n) assuming n is positive.
n**(205/78)
Simplify (j**5/(j/(j/(j*j**2))))**(7/8) assuming j is positive.
j**(7/4)
Simplify (z*z**(-1/3))**(1/41)*z**(2/5)*((z*z*z/z**(-2/11))/z)/z*z assuming z is positive.
z**(17576/6765)
Simplify (y**(-2/11)*y)/(y*y**(-3/16)*y) assuming y is positive.
y**(-175/176)
Simplify q/(q**(1/9)*q)*q/q**29 assuming q is positive.
q**(-253/9)
Simplify (m**3)**(-2/5) assuming m is positive.
m**(-6/5)
Simplify (v/(((v*v**(1/4))/v*v)/v)*v**4*v)**(1/46) assuming v is positive.
v**(1/8)
Simplify (z**(2/3)*z)**(-10/7)*(z**(2/5))**(-8/15) assuming z is positive.
z**(-454/175)
Simplify (x**(-1/3))**(3/5)/(x*(x**1/x)/x*x)**(-33/7) assuming x is positive.
x**(158/35)
Simplify (u**(-6))**30 assuming u is positive.
u**(-180)
Simplify ((s/((s**1*s*s)/s))/s*s)**(2/85)*(s**1)**18 assuming s is positive.
s**(1528/85)
Simplify (u**(2/25)*u**(-1)/u)**(-1/42) assuming u is positive.
u**(8/175)
Simplify ((m**(-2/5)*m*m)/m**6)/((m/m**(-2/5))/(m/(m*m/m**4))) assuming m is positive.
m**(-14/5)
Simplify l**16/l*l/(l*l**(-2/11)) assuming l is positive.
l**(167/11)
Simplify t**(-9)*t*t*t*t*t/(t/(t**3*t))*t*t*t*(t**0)**(-34) assuming t is positive.
t**2
Simplify (l/(l/(((l**(-12/11)*l)/l*l)/l))*l)/(l*l*l*l**(-7/2)*l) assuming l is positive.
l**(-13/22)
Simplify v/v**18*v*v**(-5/2)*v assuming v is positive.
v**(-35/2)
Simplify (l**15)**(-23) assuming l is positive.
l**(-345)
Simplify (b*b*b**(-18))**(3/22) assuming b is positive.
b**(-24/11)
Simplify s*s**(-2)*s/((s*s*s/(s**0/s*s))/s*s)*s*((s*s*s**(2/9)*s)/s)**(2/25) assuming s is positive.
s**(-82/45)
Simplify ((((b*b*b**(-1/5))/b)/b)/b*b**(-2/5))**(17/4) assuming b is positive.
b**(-34/5)
Simplify (s/s**(6/5))/(s**(-2/3)*s*s)*(s**(2/3)/s)**(-36) assuming s is positive.
s**(157/15)
Simplify h**(-19)*h**(1/16) assuming h is positive.
h**(-303/16)
Simplify (k**(4/9)/((k**(6/11)/k)/k))**(-3/29) assuming k is positive.
k**(-188/957)
Simplify (l/(l**(-14)/l))**(3/2) assuming l is positive.
l**24
Simplify s**(-23)/s**20 assuming s is positive.
s**(-43)
Simplify (o**11/o*o**(-3/10))**(-2/33) assuming o is positive.
o**(-97/165)
Simplify ((q/(q/q**(2/3)))/q)**15/(q/q**6*q*q/((q**(-2)*q*q)/q)) assuming q is positive.
q**(-3)
Simplify (f**(-1/7))**(-5/12) assuming f is positive.
f**(5/84)
Simplify ((o*o/(o*o**(-2)))/o**(-7))/(o**(-2/5))**(1/15) assuming o is positive.
o**(752/75)
Simplify (p*p**(-2/11)*p*p/p**(-4))/(p*p/p**(-1))**(1/5) assuming p is positive.
p**(342/55)
Simplify z*z/(((z**(1/21)/z)/z)/z)*z*z**8*z assuming z is positive.
z**(314/21)
Simplify ((c**(-2/7)*c)/c)/(c*c**(-5))*c/(c/(c**(-5)*c))*c*c*c/(c/c**(-1/3)*c) assuming c is positive.
c**(8/21)
Simplify (c**2/(c/((c*c/(c**(2/15)/c)*c)/c*c)))**37 assuming c is positive.
c**(2701/15)
Simplify ((o**1/o*o*o)/((o*o/((o**(2/27)/o)/o)*o)/o))/(o**(2/7)/o)**7 assuming o is positive.
o**(83/27)
Simplify i**2*i*i*(i*i**(11/5)*i)/i assuming i is positive.
i**(36/5)
Simplify (k**(1/3))**(-16)*(k/(k**(7/3)/k))/(k/(k**(-3)*k)) assuming k is positive.
k**(-26/3)
Simplify (h**(2/5))**(-24)/((h*h**6)/h**3) assuming h is positive.
h**(-68/5)
Simplify (a**(-1/12)*a/a**(1/5))**25 assuming a is positive.
a**(215/12)
Simplify (k**(-6)*k*k/(k**(-3/5)*k*k))/(k**(-2/3))**(4/3) assuming k is positive.
k**(-203/45)
Simplify ((j*(j/j**0)/j)/j)**(11/2)*j**(-2/5)/(j*j/(j/j**(2/3))) assuming j is positive.
j**(-31/15)
Simplify (p/(p/p**(2/17))*p*(p/(p/((p/(p**(-2/13)/p))/p))*p)/p*p)/(p**(-9/5)/(p**(-7)*p)) assuming p is positive.
p**(-1026/1105)
Simplify (z**5/z*z**(1/5))/(z*z*z**(-1)*z*z**(4/3)/z) assuming z is positive.
z**(28/15)
Simplify ((w/w**(3/5)*w)/w)/w**(-4/9)*(w*w/(w*w*w**(-1)*w))**48 assuming w is positive.
w**(38/45)
Simplify g/((g**1/g)/g)*g**(1/2) assuming g is positive.
g**(5/2)
Simplify (d**(-40))**17 assuming d is positive.
d**(-680)
Simplify u*u/(u*u/u**10*u)*u**(1/4) assuming u is positive.
u**(37/4)
Simplify (s**2/s)**(-30)*s**2/(s/(s*s**(2/11)*s)) assuming s is positive.
s**(-295/11)
Simplify o**(-20/3)*o**(-12/11)*o assuming o is positive.
o**(-223/33)
Simplify n*n**(-2/7)*(n*n**25)/n assuming n is positive.
n**(180/7)
Simplify (y**(2/11))**(-8/11) assuming y is positive.
y**(-16/121)
Simplify (f**(2/3))**40 assuming f is positive.
f**(80/3)
Simplify (s*s**(3/7))**(3/10) assuming s is positive.
s**(3/7)
Simplify t**(-11/6)/t*t*(t*t/(t/(t/(t*t*t*t**0))*t)*t)/t assuming t is positive.
t**(-23/6)
Simplify h/h**(-2/15)*h*h*h/(h**(-8)*h*h) assuming h is positive.
h**(152/15)
Simplify y**(-9)/y**3 assuming y is positive.
y**(-12)
Simplify (b*b**(-1/9)*b)/b*b**(4/7)*b**3/(b/(((b**(2/11)/b)/b*b)/b*b)) assuming b is positive.
b**(1831/693)
Simplify ((((r*r*r*r*r*r/(r**2/r))/r*r)/r)/r)**(1/48) assuming r is positive.
r**(1/16)
Simplify (h/(h/(h/h**(-4)*h*h)*h))/h**5*h**4*h**(3/2)*h assuming h is positive.
h**(15/2)
Simplify ((w**3)**(1/19))**35 assuming w is positive.
w**(105/19)
Simplify (l/l**12)**(-1/30) assuming l is positive.
l**(11/30)
Simplify (t**3/(t*(t**(-5/3)/t)/t*t))**(12/7) assuming t is positive.
t**8
Simplify ((l/(l*l**(-3/2)*l))/(l**(1/14)*l))**(1/38) assuming l is positive.
l**(-2/133)
Simplify ((y*y**(-7/4))/y**(-1/7))/(y**(-8)/(y/(y*y**(6/11)*y))) assuming y is positive.
y**(1801/308)
Simplify x/x**(-4/7)*x**(-8/5)/x assuming x is positive.
x**(-36/35)
Simplify g/(g*g**(-31/3))*g**(-1/5) assuming g is positive.
g**(152/15)
Simplify (g**(-2/65)*g)/(g/g**(1/22)) assuming g is positive.
g**(21/1430)
Simplify (((r/((r**(-1/11)*r)/r))/r)/r)/r**(-1/26) assuming r is positive.
r**(-249/286)
Simplify ((d*(d*d/d**(-4))/d)/(d*d**(1/3)*d))/((d*d**(-2/7))/d**(-9)) assuming d is positive.
d**(-127/21)
Simplify ((t/t**(-1/5))/t*t*t**(-1/10))/(((t**0/t)/t)/t)**(2/55) assuming t is positive.
t**(133/110)
Simplify ((w/(w**(1/3)/w*w))/(w*w/w**(1/2)))/(((w/(w*w/(w/(w/((w*w**(-1/3)*w)/w))*w)*w))/w)/(w/(w/(((w**(-1/5)/w)/w)/w)))) assuming w is positive.
w**(-27/10)
Simplify (t/(t/(t*(t*t/(t*t*t/((t*t*t**(3/7)*t)/t)))/t))*t*t**(-9)/t)**(-23) assuming t is positive.
t**(1219/7)
Simplify ((g/(g*g**3))**(1/15))**(1/23) assuming g is positive.
g**(-1/115)
Simplify b**(2/15)*b/b**(-30/11) assuming b is positive.
b**(637/165)
Simplify f**4*f*f**(1/6) assuming f is positive.
f**(31/6)
Simplify (u**(-4)/u**(2/7))/((u*u**(-5))/u**0) assuming u is positive.
u**(-2/7)
Simplify ((i**(1/5))**(20/13))**(1/6) assuming i is positive.
i**(2/39)
Simplify (m**3/m)/m**5*(m*m/m**(-1/3)*m)**(-4/7) assuming m is positive.
m**(-103/21)
Simplify a**(-3/5)/a**(1/16) assuming a is positive.
a**(-53/80)
Simplify k**(2/3)*k*k**(8/7) assuming k is positive.
k**(59/21)
Simplify ((i**(-2/7))**16)**(-4/5) assuming i is positive.
i**(128/35)
Simplify n**2/n**(2/9)*(n/(n*n**(1/3)))/(n/n**(2/3)) assuming n is positive.
n**(10/9)
Simplify (v**1)**15 assuming v is positive.
v**15
Simplify (y*y**(-1))/(y/(y/y**(-18))) assuming y is positive.
y**18
Simplify ((f**8*f)/(((f*(f/f**(-4/3))/f)/f)/f))**(-50) assuming f is positive.
f**(-1300/3)
Simplify ((l*l/(l**(-1)*l)*l)/((l/(l*(l/l**(2/15))/l))/l))/(l/((l/(l*(l**(-1/2)/l)/l))/l))**47 assuming l is positive.
l**(821/30)
Simplify p**(2/3)*(p/(p/(p*p**(-5)/p)))/p*p**(-3/5)/p*p/((p**0*p)/p) assuming p is positive.
p**(-89/15)
Simplify (j*j**(11/5)*j)**(-50) assuming j is positive.
j**(-210)
Simplify (p**(-6/7)/p)/p**(1/11) assuming p is positive.
p**(-150/77)
Simplify j**28/j**(-3/16) assuming j is positive.
j**(451/16)
Simplify (j/((((j/j**(4/3)*j)/j*j)/j)/j))**(3/25) assuming j is positive.
j**(7/25)
Simplify a**(3/5)/a*a*a**(-13/2) assuming a is p | {
"pile_set_name": "DM Mathematics"
} |
when 70281 is divided by 242.
101
Calculate the remainder when 1694262 is divided by 1144.
1142
What is the remainder when 309723 is divided by 28?
15
What is the remainder when 4916 is divided by 4809?
107
What is the remainder when 32055 is divided by 98?
9
Calculate the remainder when 129654 is divided by 25929.
9
Calculate the remainder when 14846 is divided by 291.
5
What is the remainder when 3041147 is divided by 44?
43
What is the remainder when 216176 is divided by 9825?
26
Calculate the remainder when 512363 is divided by 3558.
11
What is the remainder when 3199 is divided by 3169?
30
What is the remainder when 4911 is divided by 4899?
12
What is the remainder when 6620 is divided by 3142?
336
Calculate the remainder when 359405 is divided by 246.
245
What is the remainder when 1918 is divided by 629?
31
What is the remainder when 3066 is divided by 100?
66
What is the remainder when 95741 is divided by 39?
35
Calculate the remainder when 17292 is divided by 49.
44
What is the remainder when 312312 is divided by 7?
0
Calculate the remainder when 781633 is divided by 217.
216
What is the remainder when 37694 is divided by 3136?
62
Calculate the remainder when 255259 is divided by 851.
810
What is the remainder when 1877 is divided by 464?
21
What is the remainder when 1819668 is divided by 31?
30
Calculate the remainder when 643 is divided by 343.
300
Calculate the remainder when 1457417 is divided by 144.
137
What is the remainder when 328 is divided by 55?
53
What is the remainder when 16344 is divided by 2721?
18
What is the remainder when 23750 is divided by 1584?
1574
What is the remainder when 5792 is divided by 277?
252
What is the remainder when 1644238 is divided by 124?
122
Calculate the remainder when 36554 is divided by 36395.
159
What is the remainder when 17769 is divided by 776?
697
Calculate the remainder when 2036174 is divided by 11.
8
What is the remainder when 15131 is divided by 26?
25
What is the remainder when 1477 is divided by 691?
95
Calculate the remainder when 81465 is divided by 7.
6
What is the remainder when 1196375 is divided by 158?
157
What is the remainder when 5555094 is divided by 421?
420
Calculate the remainder when 35966 is divided by 4491.
38
What is the remainder when 360733 is divided by 209?
208
What is the remainder when 8690 is divided by 856?
130
Calculate the remainder when 11300 is divided by 136.
12
What is the remainder when 157890 is divided by 348?
246
Calculate the remainder when 921500 is divided by 307164.
8
Calculate the remainder when 7507 is divided by 259.
255
Calculate the remainder when 29163 is divided by 7285.
23
Calculate the remainder when 6985 is divided by 369.
343
Calculate the remainder when 125132 is divided by 37.
35
Calculate the remainder when 2524 is divided by 17.
8
What is the remainder when 40796 is divided by 15?
11
What is the remainder when 217758 is divided by 16749?
21
What is the remainder when 283 is divided by 148?
135
Calculate the remainder when 11709 is divided by 196.
145
Calculate the remainder when 10185 is divided by 91.
84
What is the remainder when 16395 is divided by 401?
355
What is the remainder when 120155 is divided by 23?
3
What is the remainder when 69486 is divided by 34738?
10
What is the remainder when 159703 is divided by 1613?
16
What is the remainder when 9795 is divided by 96?
3
What is the remainder when 86416 is divided by 144?
16
What is the remainder when 13353 is divided by 6629?
95
What is the remainder when 3612 is divided by 22?
4
Calculate the remainder when 89573 is divided by 1445.
1428
Calculate the remainder when 2091 is divided by 11.
1
Calculate the remainder when 1620 is divided by 46.
10
What is the remainder when 50931 is divided by 128?
115
Calculate the remainder when 221216 is divided by 105.
86
Calculate the remainder when 3680 is divided by 61.
20
Calculate the remainder when 1118142 is divided by 463.
460
What is the remainder when 48782 is divided by 7?
6
Calculate the remainder when 13430 is divided by 14.
4
What is the remainder when 5061 is divided by 387?
30
What is the remainder when 819 is divided by 78?
39
What is the remainder when 289 is divided by 15?
4
Calculate the remainder when 13941 is divided by 465.
456
Calculate the remainder when 11607 is divided by 726.
717
What is the remainder when 3699 is divided by 3601?
98
What is the remainder when 34239 is divided by 26?
23
Calculate the remainder when 4754237 is divided by 415.
412
What is the remainder when 10223 is divided by 568?
567
What is the remainder when 78586 is divided by 222?
220
Calculate the remainder when 5639 is divided by 6.
5
What is the remainder when 996 is divided by 129?
93
Calculate the remainder when 46536 is divided by 5169.
15
What is the remainder when 32029 is divided by 311?
307
What is the remainder when 30267 is divided by 340?
7
What is the remainder when 38249 is divided by 4779?
17
What is the remainder when 236906 is divided by 33?
32
Calculate the remainder when 1557 is divided by 518.
3
What is the remainder when 33897 is divided by 33881?
16
Calculate the remainder when 25035 is divided by 18.
15
What is the remainder when 57764 is divided by 7214?
52
What is the remainder when 121837 is divided by 2?
1
What is the remainder when 22305 is divided by 67?
61
Calculate the remainder when 7289 is divided by 360.
89
What is the remainder when 2631 is divided by 173?
36
Calculate the remainder when 1562 is divided by 338.
210
Calculate the remainder when 1601 is divided by 314.
31
Calculate the remainder when 64831 is divided by 310.
41
What is the remainder when 30276 is divided by 7567?
8
What is the remainder when 20994 is divided by 170?
84
Calculate the remainder when 18301 is divided by 632.
605
Calculate the remainder when 1888 is divided by 158.
150
Calculate the remainder when 22388 is divided by 23.
9
What is the remainder when 8208 is divided by 108?
0
Calculate the remainder when 8805 is divided by 338.
17
Calculate the remainder when 1090242 is divided by 65.
62
What is the remainder when 226039 is divided by 108?
103
Calculate the remainder when 4502 is divided by 2472.
2030
Calculate the remainder when 13603 is divided by 1359.
13
Calculate the remainder when 3751 is divided by 528.
55
What is the remainder when 254452 is divided by 10178?
2
What is the remainder when 3321 is divided by 1093?
42
Calculate the remainder when 320480 is divided by 160235.
10
What is the remainder when 23575 is divided by 204?
115
What is the remainder when 316864 is divided by 499?
498
What is the remainder when 5814 is divided by 48?
6
Calculate the remainder when 5472 is divided by 1179.
756
Calculate the remainder when 65790 is divided by 2530.
10
Calculate the remainder when 38740 is divided by 3225.
40
Calculate the remainder when 57983 is divided by 128.
127
Calculate the remainder when 5621 is divided by 235.
216
Calculate the remainder when 2022 is divided by 554.
360
Calculate the remainder when 39130 is divided by 13042.
4
Calculate the remainder when 65912 is divided by 85.
37
Calculate the remainder when 8710 is divided by 1905.
1090
Calculate the remainder when 2592 is divided by 265.
207
What is the remainder when 3389813 is divided by 55?
53
Calculate the remainder when 1082 is divided by 62.
28
Calculate the remainder when 53641 is divided by 2438.
5
Calculate the remainder when 1406 is divided by 135.
56
Calculate the remainder when 1764 is divided by 57.
54
What is the remainder when 33484 is divided by 107?
100
Calculate the remainder when 18794 is divided by 6165.
299
Calculate the remainder when 1192174 is divided by 68.
66
Calculate the remainder when 5757127 is divided by 52.
51
What is the remainder when 908 is divided by 515?
393
Calculate the remainder when 3883 is divided by 143.
22
Calculate the remainder when 6343 is divided by 868.
267
Calculate the remainder when 1489 is divided by 313.
237
What is the remainder when 925 is divided by 871?
54
Calculate the remainder when 31041 is divided by 61.
53
Calculate the remainder when 81404 is divided by 27107.
83
Calculate the remainder when 1839 is divided by 154.
145
What is the remainder when 4567 is divided by 382?
365
Calculate the | {
"pile_set_name": "DM Mathematics"
} |
, 17
Suppose -4*x - 74*x + 1324507 + 1163693 = 0. List the prime factors of x.
2, 5, 11, 29
Suppose -28*s - 5*s + 736791 = 0. List the prime factors of s.
83, 269
Suppose -16*i + 6*i = -170. Suppose -i = -2*t + 4*y + 1, -5 = t + 5*y. Suppose -q + 25 = -2*h, -125 = 4*q - 9*q + t*h. What are the prime factors of q?
5
Suppose 0 = 13*c + 5731 + 5436. Let g = -138 - c. What are the prime factors of g?
7, 103
Let q be 1629/(-6)*-1*2. Let z be 11*(10 - 14 - -5). Suppose q = z*t - 8*t. List the prime factors of t.
181
Suppose 554*j - 552*j - 98454 = 3*t, -4*t = -3*j + 147683. What are the prime factors of j?
3, 16411
Suppose -9 + 27 = -3*v - 3*h, 5*h + 18 = v. Let u be ((-39)/(-12) + -3)*v*-4. Suppose -227 = -3*m - x + 253, -5*m + u*x = -800. List the prime factors of m.
2, 5
Let g(r) = 36*r**3 - 11*r**2 - 73*r + 604. What are the prime factors of g(8)?
2, 3, 17, 29
Let f(m) be the third derivative of -m**4/24 + 5*m**2. Let x(v) = -3*v + 10. Let p(l) = -4*f(l) + x(l). List the prime factors of p(-3).
7
Let s(b) = 3*b**2 - 46*b + 16. Let a be s(15). Suppose -x = a, 2*k - 905 = -4*x - 263. What are the prime factors of k?
17, 19
Suppose -3*m - 2*k + 1732 = -35927, 0 = -2*k. What are the prime factors of m?
12553
Let g(i) = i**2 - 3*i - 40. Let q be g(8). Suppose 8*t + 191 - 1735 = q. What are the prime factors of t?
193
List the prime factors of (-6 + 9)/6 - (-266717)/22.
2, 7, 433
Let d(t) = -87*t + 714. What are the prime factors of d(-71)?
3, 2297
Let a = 43 - 35. Suppose 7 = -5*g - a. What are the prime factors of (g - 1)/2 - -22?
2, 5
Let w = 78 - 74. Suppose 0 = 5*r + w*u - 773 - 1350, -3*r + 1259 = -5*u. List the prime factors of r.
3, 47
Suppose 0 = a + 4*t - 748, t - 1199 = -3*a + 1001. Suppose -a - 824 = -4*y. List the prime factors of y.
389
Let b = 20 + -84. Let x(t) = -6*t - 27. Let m be x(-16). Let g = m - b. List the prime factors of g.
7, 19
Let q(z) = -z**3 - 17*z**2 - 20*z + 3. Let a be q(-14). Let d = a - -844. What are the prime factors of d?
7, 11
Let c(w) = -w**3 + 3*w**2 + 10*w + 20. Let l be c(-3). Let u = l + 648. List the prime factors of u.
2, 173
Suppose -5*l + 123 = 73. Suppose -9*p + l*p - 61 = 0. List the prime factors of p.
61
Suppose -52*y + 84599 + 338113 + 63540 = 0. List the prime factors of y.
3, 1039
Let h = 508 - -46480. List the prime factors of h.
2, 17, 691
Let f = 10201 + 8105. List the prime factors of f.
2, 3, 113
Suppose 0 = 2*n - 7*n - d + 7, -10 = n + 4*d. Suppose f - 4*f = n*q - 285, 0 = 2*f - 2. List the prime factors of q.
3, 47
Suppose -h + 195 = 14*h. Suppose -8*d - 574 = -h*d - 2*b, -4*d + 4*b = -476. What are the prime factors of d?
2, 29
Let u = -1050 + 332. What are the prime factors of -17 - (-610)/35 - u/7?
103
Let g(d) = 601*d**2 + 21*d - 195. List the prime factors of g(-9).
3, 17, 947
Let t(s) be the third derivative of -s**5/60 - 5*s**4/6 + s**3 + 39*s**2. List the prime factors of t(-9).
3, 5, 7
Let j = 161 + -185. List the prime factors of 4/(-5)*4860/j.
2, 3
Let d(m) be the third derivative of -9*m**4/4 + m**3/3 + 5*m**2. Let h be d(-2). Let b = -47 + h. What are the prime factors of b?
3, 7
Let r = -227 - -558. Let z be r/2 + -2 + (-12)/(-8). Let l = z + -74. List the prime factors of l.
7, 13
List the prime factors of 1/(8/6808*(-2)/(-58)).
23, 29, 37
Suppose 2*i = -2*v - 2*i + 12, 2*v - 21 = 5*i. Let l = -2946 - -2950. What are the prime factors of l/(v/146) - (-2 - -4)?
71
Suppose 3*b + 80506 = 4*r, -21*b = 3*r - 19*b - 60405. List the prime factors of r.
41, 491
Suppose 18*o - 21317 - 18481 = 0. What are the prime factors of o?
3, 11, 67
Let t(i) = 599*i**2 - 446*i + 2596. What are the prime factors of t(6)?
2, 41, 131
Let a = 26023 + -15550. List the prime factors of a.
3, 3491
Let c be (2 - 25/10)*190. Let h be 4/16 + 1/(-4)*c. Suppose 242 = 2*z + h. What are the prime factors of z?
109
Let x = -11667 + 44527. List the prime factors of x.
2, 5, 31, 53
Let f(x) = x**3 + 5*x**2 - 2*x - 9. Let i be f(-2). Suppose 7 = 7*s - i. Suppose 2*k + 10 = -3*k, 0 = -3*z + s*k + 160. List the prime factors of z.
2, 13
Suppose 3*m + 4*k - 297 = 0, -5*m - 44 = -2*k - 565. Let w = 85 + m. What are the prime factors of w?
2, 47
Let a = -213 + 216. Suppose n - a*b - 1185 = -2*n, 1990 = 5*n - 2*b. List the prime factors of n.
2, 5
Let m = 125 - 65. Let h be (-40)/6*(-18)/m*4. What are the prime factors of -3 + 1 + h + 192 + -1?
197
Let g(l) = -l**3 - 5*l**2 - 7. Let h be g(-6). Let t = h + -18. Let s(k) = 4*k + 15. What are the prime factors of s(t)?
59
List the prime factors of (-24103)/((-88)/220 + 6*(-1)/10).
24103
Suppose 2*z - 2*u = 24, 5*u = 3*z - 6*z + 4. Suppose -11*t + 15 = -z*t. Suppose l - 108 = -t*p + 341, -183 = -2*p + 3*l. List the prime factors of p.
2, 3, 5
Let o(r) = -2*r + 12. Let b be o(7). Let p(x) = 13*x**3 + x**2 + 3. Let t be p(b). Let l = t - -108. List the prime factors of l.
11
Let m = 29 + -29. What are the prime factors of (m - -21)/((-8)/(-152))?
3, 7, 19
List the prime factors of (16787*-4)/(-16 + 12) + 20/(-4).
2, 3, 2797
Let t(l) = -2*l**3 - 2*l**2 + 3*l + 2. Let m be t(-2). Suppose 0 = 8*u - 554 + 122. Suppose m*q - 2*q = u. What are the prime factors of q?
3
What are the prime factors of ((-42790)/(-15) - -2)*(24 - 21)?
2, 2141
Let x(p) = 18*p + 4 - 5 + 2 - 9*p. What are the prime factors of x(6)?
5, 11
List the prime factors of 9388/((-56)/36*3 + -5 + 10).
2, 3, 2347
Let i(u) = -u**3 - 12*u**2 + 6*u - 3. Suppose -69 = 15*j + 66. Let d be i(j). Let t = -162 - d. What are the prime factors of t?
2, 3, 23
Let n be 196 + 1 + -13*105/(-195). Let r(a) = a**2 + 7*a. Let u be r(-7). Suppose u = -95*c + 97*c - n. List the prime factors of c.
2, 3, 17
Let f(n) = n**2 - 20*n + 15. Let c be f(19). Let o be 3 - (14/c - -3)*0. Suppose 83 = -d + o*d + 5*l, 0 = -d + 3*l + 36. List the prime factors of d.
3, 13
Suppose 0 = 102*l - 154814 - 3415288. List the prime factors of l.
3, 3889
Let k(w) be the third derivative of 13*w**4/24 + 16*w**3/3 + 61*w**2. Let d be 4/(2 + 0) + 6. List the prime factors of k(d).
2, 17
Let r(i) = 39*i**2 + 4*i + 26. Let h be r(-8). Suppose -h - 6750 = -20*u. What are the prime factors of u?
2, 3, 7, 11
Suppose -67*a - 324247 + 1500164 = 0. What are the prime factors of a?
17551
Suppose -84*c + 48 = -72*c. Suppose -c*f - 10 = 6, -4*w - 3*f = -888. List the prime factors of w.
3, 5
Let m(f) = -f**2 - 17*f - 19. Let c be m(-14). Let x = c + 37. What are the prime factors of ((x/14)/(1/(-28)))/(-1)?
2, 3, 5
Suppose 3*d = -6*p + 4*p + 22, 2*p + 5*d = 30. Let g(u) be the first derivative of u**3 + 5*u**2/2 - 9*u - 1. List the prime factors of g(p).
7, 13
Let p be (-27)/15 + (-162)/(-90). Suppose 68*w - 41*w - 28917 = p. What are the prime factors of w?
3, 7, 17
Let c(p) = p**2 - 12*p + 29. Let y be c(3). What are the prime factors of (-20 + 21)/(y/3098)?
1549
Let x(t) = -69*t + 6. Let b be x(3). Let m = 695 - 405. Let y = m + b. What are the prime factors of y?
89
List the prime factors of (95 - 1)*(6/(-18) + (-29625)/(-45)).
2, 7, 47
Suppose 0 = 5*k - 4*u - 147562, 4*k - 4*u + 27867 = 145919. What are the prime factors of k?
2, 5, 13, 227
Let a(n) = -70*n + 12. Let r(d) = 71*d - 12. Let g(f) = 6*a(f) + 5*r(f). What are the prime factors of g(-2)?
2, 71
List the prime factors of ((-14670)/20 - -10)*-10.
5, 1447
Suppose 28*d - 20*d - 536 = 0. List the prime factors of ((-35)/14)/5*-2*d.
67
Let w(y) be the first derivative of -11*y**4/12 + 3*y**3/2 + 12*y**2 - 6. Let p(r) be the second derivative of w(r). List the prime factors of p(-2).
53
Suppose 0 = -15*q + 76268 + 63630 + 28582. List the prime factors of q.
2, 3, 13
Let t(x) = 13*x**2 + 6*x + 4. Suppose -2 + 14 = -4*u. Let y be t(u). Suppose 0 = -26*j + 25*j + y. List the prime factors of j.
103
Suppose -21*b + 169594 = 17*b. List the prime factors of b.
4463
Let y(r) = 2627*r**3 - r**2 - 46*r + 47. List the prime factors of y(1).
37, 71
Let d(s) = 2*s + 1. Let f be d(8). Let v = -5 + f. List the prime factors of v/(13/3 - 4).
2, 3
Let f(i) = 1938*i**3 + 5*i**2 - 6*i. List the prime factors of f(1).
13, 149
Suppose f + 3516 = 5*x + 5*f, 3*x - 2092 = 2*f. Suppose 340 + 460 = 5*n. Suppose -x + n = -5*j. List the prime factors of j.
2, 3
Let a be 2/(-11) - (-342)/66. List the prime factors of 106 + (a - 1) - | {
"pile_set_name": "DM Mathematics"
} |
o.
4
Let b be 16 + -1 - (3 + 0). Solve -10*r - 2 = -b*r for r.
1
Let o(j) = 3*j**2 + 4*j + 2. Let p be o(-2). Suppose -4*b - 2*k = -3*k - 10, b = 2*k + p. Suppose 0 = s - 4*s. Solve s = -b*w - 1 + 9 for w.
4
Let v = -7 + 42. Suppose -5*p + 0*p = 3*q - v, 3*p = 12. Suppose g + 4*x = -12, 4*g - 10 = -2*x - 2. Solve -3*k - q = g for k.
-3
Let a be -10 - (-2 + 7)*-4. Solve -8*d = -18*d + a for d.
1
Suppose -5*d - 40 = -5*o, o + d + 2 = -0. Solve -o*r = 15 - 3 for r.
-4
Let d(l) = -l**3 - 4*l**2 - 5*l - 4. Let s be d(-3). Suppose 0 = -m - s*m + j - 1, -1 = -j. Solve m = -2*i + 3*i for i.
0
Suppose 2*l + 9*l - 99 = 0. Solve 11 = 2*b + l for b.
1
Suppose 3*q - 21 = -5*s, 0 = -4*q + q + 5*s - 9. Suppose -q*m + 0 = -16. Let f be 13/4 + (-2)/m. Solve 0 = f*r - 0*r for r.
0
Let d(b) = 15*b**3 - 2*b**2 - b + 2. Let j(h) = 30*h**3 - 5*h**2 - 3*h + 5. Let c(u) = -5*d(u) + 2*j(u). Let k be c(-1). Solve 4*l - k = 4 for l.
5
Let a be ((-8)/16)/((-21)/18 + 1). Let z(v) = 2*v**2 - 2*v - 1. Let b(r) = -r**2 + 7*r - 4. Let t be b(6). Let j be z(t). Solve j*y - 2*y = -a for y.
-3
Let a(v) = 6 + 2 - 2*v**2 + 6*v + v**2 + 2. Let t be a(7). Suppose -3*p - 9 = -4*o, -t*o + 3 = -3*p + 2*p. Solve -3*x + o*x - 3 = 0 for x.
-1
Let o be (20/(-12))/((-3)/9). Suppose 3*m + 2*j + 66 = 0, o*m + 151 = -5*j + 36. Let c be 4/(-2) + 2 - m. Solve f = 5*f - c for f.
5
Let l(q) = q**3 + 23*q**2 + 22*q + 4. Let a be l(-22). Solve -a*n + 2 + 2 = 0 for n.
1
Let n be -10*(36/(-8) + 0). Let p = -30 + n. Solve p = 6*f - f for f.
3
Let k = 469 - 445. Solve -5*f - f = k for f.
-4
Let u = 13 - 11. Suppose 4*h = u*h + 4. Suppose b = h*b + 4*i - 8, i = 0. Solve -3*l - b = 1 for l.
-3
Let b be 8 + -1*(2 - 2). Suppose 3*y - 36 = -4*r, -2*r + 5*y = y + 4. Suppose 0 = -2*l + r + b. Solve -4*z = -l - 13 for z.
5
Let c(t) be the third derivative of 0*t - 4*t**2 + 0 - 1/24*t**4 + 1/120*t**6 + 8/3*t**3 - 11/60*t**5. Let d be c(11). Solve -3*h + d*h - 8 = 0 for h.
4
Suppose 5 = 2*w + 1. Let t(p) = 0 + p**2 - 3 - 1 + 0 - w*p. Let v be t(4). Solve 2*d + v = -2*d for d.
-1
Let b(y) = -2*y + 11. Let u(g) = -2*g + 11. Let m(a) = -3*b(a) + 4*u(a). Let w be m(5). Suppose 3*q = 3 + 12. Solve -q = -2*v - w for v.
2
Let i = -20 - -7. Let z(l) = -2*l - 10. Let s be z(i). Let p = -16 + s. Solve 5*g - 19 - 1 = p for g.
4
Suppose 13*t - 10*t = -9. Let o be t/(-1) + (-11 - -11). Suppose -4*u + o*u = -1, -3*f + 5*u = -1. Solve f*k = k + 1 for k.
1
Let j(l) = 2*l + 8. Let a be j(-7). Let r(y) be the third derivative of -y**6/120 - y**5/12 + y**4/6 + y**3/2 + y**2. Let i be r(a). Solve -i = 3*f + 2*f for f.
-3
Suppose 3*b = 5*b - 30. Suppose 3 = 2*g + j, g = -g - 3*j + 1. Suppose -5*f = -a + 5, 3*f - b = -a - g*a. Solve f*k = -4*k - 20 for k.
-5
Let z = -15 + 46. Suppose -7 = -v + m, 4*v - z = -v + m. Let n be -2 + 0 - v/(-3). Solve 3*u = -n*u - 12 for u.
-4
Suppose -22 + 262 = 3*d. Suppose -d = -7*p - p. Solve 2*v = p - 0 for v.
5
Let g(c) = c**3 + 24*c**2 + 63*c. Let z be g(-21). Let x(h) = -h + 19. Let t be x(15). Solve -r - t = -z*r for r.
-4
Let g(w) = w**3 + 8*w**2 + 7*w. Suppose 2 - 10 = 4*b. Let v = -9 - b. Let z be g(v). Solve z = 4*q + 2 + 2 for q.
-1
Let y = 28 + -16. Let f(h) = -10 + 3*h + y + 0*h - 2*h**2 - 2*h - 9*h**3. Let d be f(-1). Solve -4*s + 0 + d = 0 for s.
2
Suppose -2*i + 4 = -3*i. Let k be (4/i)/((-3)/6). Solve 0 = y - k*y for y.
0
Let x be (-4)/(-3)*18/4. Let g be (-6)/(-4) - (-12)/(-8). Suppose x*u - u = g. Solve 6*f - 3*f = u for f.
0
Let p(l) = 4*l - 300. Let z be p(79). Solve -z*c = -18*c - 2 for c.
-1
Suppose 4*z + 0*z = 5*r + 15, 0 = -3*r - 3*z - 9. Let b be -1 + (10 - -4) + r. Solve 4*v - 10 = b for v.
5
Let b(k) = 43*k - 709. Let n be b(28). Solve n*g + 5 = 490*g for g.
-1
Let h(a) = -a**3 - 3*a**2 + 2*a + 6. Let p be h(-3). Suppose 2*x = -p*x + 12. Let t = -2 - -5. Solve -t*v - x - 3 = 0 for v.
-3
Let v be -1 + 0 + (10 - (-1 + -2)). Let k(p) = -p**2 + 12*p + 3. Let x be k(v). Solve -2*g + 5 - x = 0 for g.
1
Let t = 119 + -179. Let k = t - -42. Let u = k - -22. Solve 2*z - z = u for z.
4
Let n be 0*(-3)/(-24)*4. Let c = 9 + n. Solve c*l + 10 = 4*l for l.
-2
Suppose -7*b - 80 = -3*b. Let i(t) = t**3 + 19*t**2 - 19*t + 22. Let n be i(b). Solve -n*d = -8 - 2 for d.
5
Let o(f) = 3*f - 16. Let t = -81 - -88. Let u be o(t). Solve u*m + 0 = 20 for m.
4
Suppose -5*o + 10 = -5*m, -2*m + 4*m = 8. Solve -18 = -0*j - o*j for j.
3
Let v = 2797 + -2782. Solve v*s - 25 = 10*s for s.
5
Suppose 3*i - 135 = 2*o - 3*o, -o + 223 = 5*i. Solve -11*w = -0*w - i for w.
4
Suppose 0 = -3*j - 5*l - 116, 8*j = 3*j + 5*l - 220. Let f be (-2)/(j/9 + 4). Solve -4*g = f + 5 for g.
-2
Let f be 2 + 6*(-2)/(-6). Let n be f/(-8) - 3/(-6). Suppose 6*m - 5*m - 15 = n. Solve 2*u = -3*u - m for u.
-3
Let z(n) = -n**2 - 43*n - 283. Let r be z(-9). Solve 3*v - r = -8 for v.
5
Let v(q) = 2*q**2 + 11*q - 54. Let h be v(-9). Solve y = -4 + h for y.
5
Suppose -5*b + 3*c - 60 = 0, -2*c - 85 = -b + 6*b. Let i be (-7)/((-7)/(-4)) - b. Suppose -3*z - 2*l + i = 0, -3*z + 4*l = 2*z - 11. Solve 2*j = j + z for j.
3
Suppose -4*u + 43 = 5*t, -4*t + 8 = -5*u + 31. Solve 8 = 3*g - u for g.
5
Suppose 105 = 5*h + 3*k, -3*h + 2*k = -36 - 27. Let o = 0 - -1. Solve o - h = -5*y for y.
4
Let l be (-1)/(1 - 15/12). Let u be ((-24)/14)/(10/(-105)). Let o be 70/21*u/5. Solve 4*z - o = -l for z.
2
Let h be ((-765)/(-425))/((3/(-10))/(-1)). Solve -h*k + 10 = -4*k for k.
5
Let s be 66/(-55) - 36/(-30). Solve s = -8*c + 22*c + 56 for c.
-4
Let p = 5 - -2. Suppose -4*t + 8 = 0, 0 = 7*w - 2*w + 5*t - 35. Solve w*h - 22 = -p for h.
3
Let r(c) = -10*c + 14. Let m be r(6). Let a = m - -70. Let v be 0/(-3 - a/(-4)). Solve v = -2*d - d for d.
0
Let t(w) = -w**2 + 6*w - 3. Let h(p) = 2*p**2 - 5*p + 3. Let a be h(3). Let c be t(a). Let x = c - -7. Solve r - x = -0*r for r.
4
Let f(v) = 87*v - 432. Let t be f(5). Solve t*s = -7 + 19 for s.
4
Let g be 1*3*7/(-3). Suppose 4*y + 12 = -2*t, -4*y + 5*y - 2 = -3*t. Let p be t/7 + (-12)/g. Solve -3*a + 25 = p*a for a.
5
Let o = 3 - 1. Suppose 2*n = -3*j - 12, 0 = -51*n + 47*n + j + 4. Solve n = -o*b - b for b.
0
Let t = -4607 - -4611. Suppose 2*h + 0*h = 14. Let a be h*(-2 + 48/21). Solve t*c + 4 = a*c for c.
-2
Let y(z) = 5 + 4*z**2 + 4*z**2 - 7*z**2 + 16*z. Let q be y(-16). Let j = 0 + q. Solve -f = -0*f - j for f.
5
Suppose 53 = 9*p - 190. Solve 7*n + 1 = -p for n.
-4
Suppose -77 = -6*a + 25. Let l = 20 - a. Suppose -5*c - t + 46 - 7 = 0, l*t = 2*c - 2. Solve 0 = -c*v + 3*v - 20 for v.
-5
Let u be (-120)/(-14) - 4/7. Solve 2*j - u = -2*j for j.
2
Let k(g) = 6*g - 6. Let p be k(-5). Let d be 14*(-1 - p/28). Solve d*i + i - 25 = 0 for i.
5
Let p be 13622/490 - (-2)/10. Solve -2 = -27*c + p*c for c.
-2
Let g be (-16)/(-6) - 8/12. Suppose 35*d - 159 = -18*d. Solve -g = -d*q + 7 for q.
3
Let m(i) = i**3 + 7*i**2 + 5*i - 8. Let v be m(-6). Let z be v/(-6) - (-46)/6. Suppose 10*p - z*p - 8 = 0. Solve -1 + p = -d for d.
-3
Suppose 5*c + 363 = -197. Let j be (1 + 3)*c/(-32). Suppose 2*h - j = 18. Solve -3*m - m = h for m.
-4
Let r(s) = 54 - 3*s**2 + 5*s**2 - 76 - 43*s. Let t be r(22). Solve t = -3*n + 6*n + 6 for n.
-2
Let c = -22 - -23. Let p = -6 + 8. Solve x + c = -p for x.
-3
Let c(y) = y - 1. Let f(u) = -u**2 - 13*u - 8. Let b(d) = 2*c(d) + f(d). Let g be b(-7). Let r = -16 + g. Solve -3 = -o + r for o.
5
Suppose -3*c = c - 12. Suppose 13 = -c*j - 41. Let k be 12/j + 8/3. Solve k*o + 10 = -0*o for o.
-5
Let h = 34 - 30. Suppose -3*z - 5*c - 10 = 0, 8 = 2*z - 3*z - h*c. Solve z = -5*f - 5 for f.
-1
Let r(h) = -h**3 - 8*h**2 + 2*h + 17. Let k be r(-8). Solve -k = -p + 1 for p.
2
Suppose 123 - 45 = -6*v. Suppose 0 = 4*b - 8*b - 48. Let a = b - v. Solve -3*x = 2 + a for x.
-1
Suppose -26*k + 27*k = 85. Let l be k/10 - 3/6. Solve -2*f = -6*f + l for f.
2
Let p(c) = c**2 + 38*c - 38. Let d be p(-39). Let v be 0 - 3/(-1) - -1. Suppose -2*a + h = -2 - 4, -3*a - d = -v*h. Solve a*m - 4 = 3*m for m.
2
Let g be ((-42)/9 - -4)/(2/(-6)). Suppose g*d = d - 4*d. Solve -2*h + 1 - 7 = d for h.
-3
Let a = 976 - 963. Solve -a*n + 10*n + 3 = 0 for n.
1
Suppose 0 = 4*g - r - 276, -5*g + 345 = r + r. Let m = 72 - g. Solve 6*o = m*o for o.
0
Let v = -29 + 32. Suppose -2*n + 0*x = 2*x - 8, v*n - 10 = -2*x. Solve -n*k + 20 = 3*k for k.
4
Let d | {
"pile_set_name": "DM Mathematics"
} |
2/13
b
What is the nearest to -9 in -231, 3/4, 1, 3, 1.4?
3/4
Which is the closest to -2/1361? (a) 1/4 (b) -0.336 (c) 0.3
a
Which is the nearest to 20? (a) -1 (b) -0.31 (c) -7 (d) -2/5
b
What is the closest to -0.1 in 107, -5, -0.2, -2, -32?
-0.2
What is the nearest to -407 in 5, 0.1, -7?
-7
What is the nearest to -0.1 in -6824, 0.1, -0.02?
-0.02
What is the nearest to -0.1 in -188, 1, -0.3, -0.21, 5?
-0.21
What is the closest to -5/4 in -75, 11, -0.3?
-0.3
Which is the closest to -26.9? (a) 0.9 (b) -4 (c) 5 (d) -0.4
b
Which is the nearest to 130/11? (a) -4 (b) 1 (c) -1 (d) 0.6
b
What is the closest to -9 in 4, -1/9, 0?
-1/9
Which is the closest to -2? (a) -1.11 (b) -27 (c) 0.3
a
Which is the closest to -5/3? (a) 1 (b) 0.5 (c) -130.5 (d) 2/5
d
What is the closest to 287 in 2/3, -18, -0.5?
2/3
Which is the closest to 0? (a) 5 (b) 1176 (c) 4 (d) -13
c
What is the closest to 2/15 in 60, 4, 1/6, -7, 3?
1/6
What is the closest to 9 in -0.2, 0, 18.23?
0
What is the nearest to -3/4 in -3/10, 5, 0.1, 20?
-3/10
Which is the nearest to 1? (a) 78 (b) -9/5 (c) 0.3
c
What is the closest to -85 in -5, -0.3, 44, -2/7?
-5
Which is the nearest to 10? (a) 0 (b) 38 (c) -0.09
a
Which is the nearest to 36? (a) 8 (b) 5/2 (c) 2
a
What is the nearest to 528 in 1/2, 1/3, 2, -7?
2
Which is the closest to -1? (a) 0.027 (b) -2/23 (c) -5
b
Which is the closest to 0? (a) 0.86 (b) 2/11 (c) -2027
b
What is the nearest to 0.256 in -2, -24/7, 2?
2
What is the closest to 880 in 6, -3, -1?
6
Which is the closest to 0.1? (a) -1/9 (b) -6652 (c) -1 (d) 5 (e) 0.5
a
Which is the closest to -1461? (a) 3/2 (b) -0.2 (c) 2/7 (d) -1
d
Which is the nearest to -7? (a) -10 (b) -1/238 (c) -2
a
Which is the closest to 1? (a) 75 (b) 5 (c) 1/4 (d) -0.0146 (e) 3
c
What is the nearest to -0.1 in 1095/2, 109, 2/11, -0.1?
-0.1
Which is the closest to 317? (a) 0.1 (b) -167 (c) -4 (d) 2/3
d
Which is the nearest to 0? (a) 5 (b) 8/5 (c) -36/7 (d) -1/2 (e) 3/5
d
What is the nearest to 2/9 in 56/9, -0.14, -6?
-0.14
Which is the nearest to -5? (a) -2/99 (b) -5954 (c) 2
a
What is the nearest to -9 in 5, 51, 85/2?
5
What is the nearest to 5 in -12/7, -3, 5, 2/25?
5
What is the nearest to -1/3 in -0.5, -49, 15, -4?
-0.5
Which is the nearest to -51? (a) 0 (b) 0.9 (c) 1/3 (d) -0.06 (e) 251
d
What is the closest to -0.094 in 4/7, -21, 4, 3/7?
3/7
What is the nearest to -1/5 in -0.5, -4, 0.05, -5/3, -129?
0.05
What is the closest to -0.1 in -2/11, -4, 8, -2, 0.06?
-2/11
Which is the closest to 20? (a) 5 (b) -5 (c) 4 (d) -8 (e) 2
a
Which is the closest to 1/3? (a) -2/7 (b) -2/267 (c) -1 (d) 3/7
d
What is the closest to -2 in -0.53, -2/9, -7?
-0.53
Which is the nearest to -0.1? (a) -1/51 (b) 2/11 (c) -1/2 (d) 79
a
What is the closest to -5 in 4, -0.7, 1856, 2?
-0.7
Which is the nearest to 3? (a) 0.4 (b) -2.6 (c) -30 (d) -1
a
What is the nearest to 0.2 in 0.3, -1/8, 5?
0.3
What is the closest to -24 in 5648, -5, 0.4?
-5
What is the nearest to 2/17 in -23, -1.6, -0.5, 22, 2?
-0.5
Which is the nearest to 0? (a) -4 (b) 40 (c) -0.5 (d) -18/37 (e) -5
d
What is the closest to -3 in -162/5, -0.1, -3, -2?
-3
What is the closest to 0.06 in -0.041, -2, -11/10?
-0.041
Which is the closest to 1? (a) 1 (b) -7 (c) -2/19 (d) 470 (e) 3/2
a
What is the nearest to -43 in -201, -3, 6?
-3
Which is the nearest to -253? (a) 0.3 (b) 0.4 (c) -4 (d) 0 (e) 1.2
c
Which is the nearest to -3? (a) -3 (b) 2/9 (c) 2/5 (d) -16063
a
What is the nearest to -18 in 1, 0.3, -1/4, -0.4?
-0.4
Which is the closest to -1? (a) -0.07 (b) -4/11 (c) -160
b
What is the closest to 1/3 in -4/33, -58, 0.08, -1/2, -2?
0.08
Which is the nearest to -255? (a) 5 (b) 0 (c) -13 (d) -0.2
c
Which is the nearest to 0.1? (a) -73 (b) -35 (c) 3 (d) -3/7 (e) 2
d
Which is the closest to 0.04? (a) -1 (b) 1/5 (c) -0.3 (d) -5 (e) -4
b
What is the closest to 0.07 in 13, -2/9, -13, 2/5, -3?
-2/9
What is the closest to 3 in 0.4, 5, -17.6, -3, -19?
5
Which is the nearest to 0.1? (a) -30 (b) 6 (c) 0.06 (d) -1 (e) -0.2
c
Which is the closest to 2/3? (a) 5 (b) 550 (c) 2/15 (d) -2 (e) 1/5
e
What is the closest to 0 in -0.23, -0.1, -3, 0.6, -3/11?
-0.1
Which is the closest to -2? (a) -2 (b) -2/77 (c) 4 (d) -6
a
What is the closest to -1 in 0.4, 3/5, 6/11, 1, -20/11?
-20/11
What is the nearest to -2 in 3/2, 433, 2/11, -0.04?
-0.04
Which is the nearest to -14/3? (a) -2 (b) 0.5 (c) -150
a
What is the nearest to 2 in -5/2, 0.41, -3, -15?
0.41
Which is the closest to 3? (a) -3 (b) 2763.7 (c) 2/19
c
What is the nearest to 0.1 in 3, 0.6, 1, 493807?
0.6
What is the nearest to -2/19 in 4, -0.0116, -0.1, 2?
-0.1
What is the nearest to 2 in 0.1, 2688, 0.3?
0.3
Which is the closest to 2? (a) -511 (b) 0.3 (c) 2 (d) -0.4
c
Which is the nearest to -2/9? (a) -956 (b) -0.1 (c) -0.07 (d) -1
b
Which is the closest to -29? (a) -2 (b) 1.5 (c) 0.5 (d) -2/5 (e) 13
a
What is the closest to 23 in 0.1, 0.5, 4, -1/16, -28?
4
What is the nearest to -0.1 in -2/7, -1/5, 3.3, -0.4, -5?
-1/5
What is the closest to 3 in 0.13, -41, 3/5?
3/5
What is the closest to -196 in 441, 3/4, 2/21, 1?
2/21
What is the nearest to 2/31 in 2/23, 1, -4, -0.3, 153.5?
2/23
What is the closest to 57 in -102, -2, 0.2, 9?
9
What is the nearest to 1 in 117, -1/3, 0.3, 34, 4/7?
4/7
Which is the nearest to 11? (a) -5 (b) -2 (c) 1/531
c
What is the nearest to -0.23 in 24, 2/21, 17?
2/21
Which is the closest to 3/188? (a) 78 (b) 0.5 (c) 3 (d) -3
b
Which is the nearest to 0.4? (a) -4 (b) 0 (c) -4/3 (d) 0.5 (e) 4.1
d
Which is the closest to 2.515? (a) -1/3 (b) -3 (c) 4 (d) 3 (e) 2
d
What is the nearest to 0 in 0.2, -550, -4, 0.3?
0.2
Which is the nearest to -0.2? (a) -8/3 (b) -0.04 (c) 2/23 (d) -5/4
b
What is the nearest to 2/7 in -3, -0.0694, 3, 0.2, 4?
0.2
Which is the nearest to 1/5? (a) -1/6 (b) 6/11 (c) 1/19 (d) 5/3 (e) 0
c
Which is the nearest to -0.1? (a) -0.0321 (b) 1/4 (c) 66/7
a
Which is the closest to 16.2? (a) -13 (b) -5 (c) 1 (d) 9
d
What is the nearest to 0 in -3/58, 4, -0.05?
-0.05
What is the nearest to 3/4 in -8, 2, 1/15?
1/15
Which is the closest to -3.5? (a) 0 (b) 5 (c) 6/5 (d) -1
d
What is the nearest to 21 in -1/10, -2/15, -2/11, -1, -6?
-1/10
What is the closest to 562 in 4/3, -0.05, 1?
4/3
Which is the closest to -2? (a) 2 (b) 1 (c) 0.08 (d) -0.9 (e) 1/9
d
What is the nearest to 244 in 5, 1.685, -0.2?
5
Which is the nearest to -2.1? (a) 2 (b) 3.9 (c) 1/9
c
Which is the closest to 2? (a) -1/7 (b) -1716 (c) 8 (d) 2/3
d
Which is the nearest to 4? (a) 2/3 (b) -2/5 (c) 11 (d) 6
d
What is the nearest to 2 in 5, -0.06, 1/4, 8134?
1/4
What is the nearest to 5 in -1, -260, -3, 2?
2
What is the nearest to -3.689 in 20/9, 0, 2/11, 3?
0
What is the closest to -8271 in -4, 0.3, 0.04?
-4
Which is the nearest to 0.2? (a) 1/8 (b) -5 (c) 2 (d) -1/4
a
What is the nearest to 1/3 in 168, 2/5, -160/19?
2/5
What is the closest to 2/7 in 5, -0.69, -1/2?
-1/2
What is the closest to 17 in -0.15, -3, -5/691?
-5/691
What is the closest to -1/3 in -0.01, -13, 157, 2/11?
-0.01
What is the closest to 0 in 28, 0.4, -2, -283?
0.4
Which is the closest to -0.2? (a) -4 (b) -0.751 (c) -7
b
Which is the closest to -2/7? (a) 0.4 (b) 0 (c) 0.5 (d) -1754 (e) -0.4
e
Which is the closest to -0.1? (a) -1.9 (b) -41 (c) -0.1 (d) 0.02
c
Which is the nearest to -14? (a) 0.4 (b) -1/4 (c) -8 (d) 1/9
c
Which is the closest to 0.1? (a) -0.4 (b) 3.48 (c) 0.9 (d) 4 (e) -1
a
What is the nearest to -1 in 0, -34/3, 0.2?
0
Which is the nearest to 5? (a) 4 (b) -27 (c) -0.4
a
What is the nearest to 0.2 in -0.041, 0, 43, -2/7?
0
What is the nearest to 18 in -26, 4, -77?
4
What is the closest to 2/3 in -1, 0.02, -4, 0.0803?
0.0803
What is the closest to 4/5 in -0.4, 12/7, -12580?
12/7
Which is the closest to 12? (a) -0.3 (b) 3 (c) -4 (d) 0.3
b
Which is the nearest to -0.1? (a) -0.5 (b) 0.049 (c) -30 (d) 0.05
b
What is the nearest to 179 in -0.2, 0.9, 5, 0.04?
5
Which is the nearest to 1? (a) 8/273 (b) 3 (c) 3/4 (d) 2/5
c
Which is the closest to 0? (a) -2 (b) 641 (c) 5
a
Which is the closest to -1/2? (a) 0 (b) 0.13 (c) -0.4 (d) - | {
"pile_set_name": "DM Mathematics"
} |
145. Determine n(31).
-10
Let b(g) = 2*g + 17. Determine b(-8).
1
Let b(u) = 14*u - 286. Give b(20).
-6
Let z(b) = 13*b**3 + 2*b + 1. Give z(-1).
-14
Let f(p) = -14*p - 29. Calculate f(-2).
-1
Let b(q) = 39*q**3 - 2*q**2 + 2*q - 1. Calculate b(1).
38
Let v(b) = b**2 + 3*b + 5. Calculate v(-6).
23
Let m(p) = 2*p**3 - 11*p**2 + 5*p + 11. Calculate m(5).
11
Let b(k) = -12*k + 82. What is b(7)?
-2
Let d(g) = g**3 - 17*g. What is d(4)?
-4
Let i(l) = l**2 + 6*l + 19. Determine i(-3).
10
Let z(n) = n**3 + 8*n**2 - 9*n - 19. Calculate z(-8).
53
Let z(y) = -y**3 - 8*y**2 - 15*y - 11. Determine z(-6).
7
Let i(j) = j**3 + 12*j**2 + 10*j - 13. What is i(-11)?
-2
Let l(s) = -7*s**2 + 11*s - 5. Give l(5).
-125
Let u(z) = -4*z - 37. Give u(-10).
3
Let t(l) = l - 6. Give t(8).
2
Let y(z) = -3*z**2 + z. Give y(1).
-2
Let d(q) = 2*q**2 - 2*q - 91. Give d(7).
-7
Let v(m) = -m**2 + 40*m. Determine v(40).
0
Let u(w) = 13*w - 553. Give u(43).
6
Let q(s) = 4*s - 48. What is q(8)?
-16
Let u(c) = c**3 - 9*c**2 - 11*c + 16. Calculate u(10).
6
Let n(a) = -8*a - 6. Give n(5).
-46
Let d(u) = -5*u + 12. Calculate d(4).
-8
Let h(d) = -d**2 - 13*d - 24. Give h(-15).
-54
Let v(s) = s**2 - 2*s - 7. Calculate v(5).
8
Let l(y) = y - 24. Determine l(31).
7
Let b(z) = 3*z**2 - z + 1. Determine b(3).
25
Let u(c) = 10*c - 111. Calculate u(11).
-1
Let b(x) = -x**3 + 7*x**2 - 2*x - 6. Give b(7).
-20
Let i(v) = -v**2 + 14*v - 12. Determine i(12).
12
Let g(p) = p**2 + p - 10. What is g(-3)?
-4
Let f(b) = 8*b**2 + 2*b + 1. Give f(-1).
7
Let s(z) = 11*z + 31. Give s(-6).
-35
Let y(a) = a**3 + 49*a**2 - 51*a - 65. Calculate y(-50).
-15
Let a(x) = x**2 - x + 4. Give a(4).
16
Let t(r) = -r**3 + 14*r**2 + 12*r + 35. Give t(15).
-10
Let q(o) = -4*o + 141. Determine q(35).
1
Let y(t) = 3*t + 60. Calculate y(-19).
3
Let b(n) = 35*n + 36. Calculate b(-1).
1
Let c(s) = -2*s - 3. Determine c(-15).
27
Let v(s) = s**3 + 6*s**2 - 4*s - 8. What is v(-7)?
-29
Let a(k) = 4*k**2 + 20*k + 11. Determine a(-4).
-5
Let r(u) = u**3 - 20*u**2 - 2*u - 24. Give r(20).
-64
Let i(m) = m**3 + 10*m**2 + 18*m + 1. Calculate i(-3).
10
Let k(o) = o. Determine k(8).
8
Let w(m) = m**3 + 3*m**2 - 2*m - 23. Determine w(-4).
-31
Let r(a) = a**3 + 8*a**2 + 4*a - 4. Give r(-7).
17
Let l(x) = -2*x**3 - 159*x**2 + 82*x + 163. Give l(-80).
3
Let x(a) = -2*a**2 - 13*a - 18. What is x(-7)?
-25
Let y(r) = r**3 + r - 6. Calculate y(5).
124
Let t(i) = -i**2 + 22*i - 46. Calculate t(2).
-6
Let p(w) = 4*w**3 + w**2 + w - 1. Determine p(-2).
-31
Let u(z) = -z + 3. Determine u(1).
2
Let z(t) = 11*t + 48. Give z(-7).
-29
Let v(x) = -x**2 + 25*x + 16. What is v(26)?
-10
Let s(f) = f**3 - 17*f**2 + 18*f - 42. Determine s(16).
-10
Let n(o) = -12*o - 5. Determine n(-2).
19
Let b(y) = -y**3 + 5*y**2 - 9*y + 13. Give b(4).
-7
Let c(o) = o**3 - 2*o**2 + 3*o + 3. Determine c(-1).
-3
Let a(t) = 2*t**3 + 2*t**2 - 9. Give a(0).
-9
Let c(y) = y**3 + 39*y**2 + 77*y + 114. Calculate c(-37).
3
Let g(v) = v - 13. Give g(-6).
-19
Let x(s) = -2*s**2 - 1. Give x(0).
-1
Let a(j) = -j**2 - j + 2. Give a(-6).
-28
Let k(t) = 16*t + 588. Determine k(-37).
-4
Let j(v) = v - 73. Calculate j(41).
-32
Let v(s) = -s**3 - 11*s**2 + 11*s - 17. Determine v(-12).
-5
Let c(f) = -f**2 + 10*f + 14. What is c(9)?
23
Let j(v) = -v**2 + 16*v - 18. Determine j(15).
-3
Let q(x) = -6*x - 6. Give q(3).
-24
Let u(r) = -r**3 + 7*r**2 - 10*r + 8. What is u(5)?
8
Let w(n) = -n**2 + 4*n + 19. Give w(3).
22
Let m(p) = -p**3 - 7*p**2 - 2*p - 29. Determine m(-7).
-15
Let l(h) = h**2 - 11*h + 11. Calculate l(6).
-19
Let y(h) = 13*h - 147. Determine y(8).
-43
Let v(q) = -3*q - 1. Calculate v(5).
-16
Let q(k) = k**3 + k**2 + 25. Calculate q(0).
25
Let j(h) = h**2 + 8*h + 7. What is j(-5)?
-8
Let m(v) = -v**2 + 3*v. What is m(5)?
-10
Let g(f) = -13*f + 21. Give g(5).
-44
Let f(q) = -2*q**2 + 9*q + 5. Determine f(4).
9
Let l(h) = 89*h**2 - h + 2. Give l(1).
90
Let s(d) = d**2 - 2*d + 9. Determine s(-4).
33
Let m(r) = r**3 + 7*r**2 + 7*r + 9. Calculate m(-6).
3
Let z(r) = 2*r**3 - 28*r**2 + 28*r - 27. Calculate z(13).
-1
Let g(b) = b + 13. Determine g(-10).
3
Let j(t) = 72*t - 436. Calculate j(6).
-4
Let d(b) = -4*b - 12. Give d(-4).
4
Let f(d) = -d**2 - 5*d + 15. Give f(-8).
-9
Let i(k) = 14*k + 77. Calculate i(-5).
7
Let p(g) = -g**2 - 17*g - 17. Give p(-18).
-35
Let z(b) = -3*b**2 - 51*b + 13. Determine z(-17).
13
Let g(o) = 4*o**2 + 5*o + 4. Determine g(-2).
10
Let h(p) = 51*p**3 - 4*p**2 + p + 2. Calculate h(1).
50
Let t(z) = z**2 - 6*z - 51. What is t(9)?
-24
Let u(v) = -v**2 + v + 2. Give u(0).
2
Let x(p) = p**2 + 9*p + 13. Calculate x(-6).
-5
Let t(f) = -f**2 + 2*f. Calculate t(2).
0
Let s(r) = -r**3 + 4*r**2 - 2*r - 8. Determine s(4).
-16
Let o(v) = 5*v - 3. Determine o(-2).
-13
Let h(g) = -8*g + 4. Give h(6).
-44
Let v(j) = -j**2 + 20*j - 60. What is v(10)?
40
Let a(q) = -q**3 - 15*q**2 + 12*q - 29. Determine a(-16).
35
Let d(r) = r**3 + 10*r**2 - 16*r + 1. Give d(-11).
56
Let d(s) = s. Calculate d(-12).
-12
Let a(w) = -2*w + 2. Determine a(13).
-24
Let l(d) = -d**3 - 7*d**2 - 11*d. What is l(-6)?
30
Let i(n) = -13*n + 92. Give i(9).
-25
Let g(u) = -u**2 - 3*u + 6. What is g(0)?
6
Let f(g) = 2*g**2 - 6*g + 10. Determine f(5).
30
Let k(n) = 3*n - 8. Determine k(4).
4
Let j(g) = -4*g + 1. Determine j(-6).
25
Let j(t) = -2*t**2 - 28*t + 104. Give j(-17).
2
Let t(s) = -s**3 + 5*s**2 - 5*s - 2. Give t(4).
-6
Let m(p) = p**3 - 22*p**2 + 18*p + 46. What is m(21)?
-17
Let j(q) = -144*q - 872. What is j(-6)?
-8
Let d(j) = -76*j - 1827. What is d(-24)?
-3
Let v(r) = -2*r**3 - 6*r**2 + 7*r + 9. What is v(-3)?
-12
Let b(v) = -2*v**2 - 77*v + 40. Determine b(-39).
1
Let b(s) = s**3 + 11*s**2 + 19*s + 2. Determine b(-9).
-7
Let f(h) = -h - 19. Give f(8).
-27
Let l(h) = h**3 + 6*h**2 - 24*h + 36. What is l(3)?
45
Let k(c) = -6*c - 294. Calculate k(-48).
-6
Let s(u) = -u**2 + 3*u - 15. Determine s(6).
-33
Let z(j) = 3*j + 13. What is z(-5)?
-2
Let h(r) = -r**2 - 3*r + 80. What is h(-11)?
-8
Let j(g) = g**2 + 12*g + 12. Give j(-11).
1
Let j(w) = -w**3 - 5*w**2 + 5*w + 24. Give j(-3).
-9
Let j(f) = -f**2 - 7*f - 9. Give j(-4).
3
Let d(f) = f**2 + 28*f + 190. What is d(-11)?
3
Let t(a) = -3*a - 68. What is t(-32)?
28
Let z(p) = 23*p + 80. Determine z(-3).
11
Let d(g) = g**3 - 12*g**2 + 10*g + 22. Give d(10).
-78
Let d(i) = 8*i**2 + 1. Determine d(-1).
9
Let a(h) = h**3 - 18*h**2 + 14*h + 50. What is a(17)?
-1
Let w(o) = 2*o - 5. What is w(-4)?
-13
Let f(v) = -v**2 - 6*v + 4. Calculate f(-7).
-3
Let v(b) = 32*b**3 - b**2 - b. Determine v(-1).
-32
Let y(l) = -42*l - 41. What is y(-1)?
1
Let r(b) = -3*b**3 + 5*b**2 - 2*b - 1. What is r(3)?
-43
Let p(d) = -d**3 - 18*d**2 + 21*d + 41. Give p(-19).
3
Let b(k) = -k**2 + 40*k + 338. Determine b(-7).
9
Let w(q) = q + 4. Give w(8).
12
Let m(d) = 6*d**3 + d - 2. Give m(1).
5
Let s(n) = 2*n**3 + 13*n**2 - 4*n + 12. What is s(-7)?
-9
Let f(y) = 3*y**2 + 52*y + 9. What is f(-18)?
45
Let n(c) = -c + 32. Give n(0).
32
Let h(t) = -t**2 + 11*t + 54. Calculate h(14).
12
Let o(g) = g**2 + 5*g + 4. Give o(-3).
-2
Let v(w) = -w**3 - 8*w**2 + 13*w + 3. What is v(-9)?
-33
Let c(h) = h**3 - 12*h**2 + 12. Calculate c(12).
12
Let k(v) = -v**3 + 6*v**2 + v - 5. What is k(5)?
25
Let s(w) = -2*w**2 + 14*w + 96. Give s(11).
8
Let q(s) = -25*s + 25. Calculate q(2).
-25
Let i(t) = 3*t**2 - 34*t - 36. Calculate i(12).
-12
Let l(d) = -d - 1. Give l(-12).
11
Let d(t) = 4*t**2 + 38*t - 27. Determine d(-10).
-7
Let m(z) = -z. Determine m(-2).
2
Let u(y) = y**2 + 8*y - 14. What is u(-11)?
19
Let d(b) = -28*b - 8. Determine d(1).
-36
Let z(k) = -k**2 - 48*k + 434. What is z(8)?
-14
Let z(n) = 2*n + 23. Give z(-9).
5
Let r(j) = -17*j + 12. Determine r(3).
-39
Let d(k) = -19*k + 45. Give d(4).
-31
Let c(g) = -g**2 - 2*g - 2. What is c(-4)?
-10
Let y(b) = b**3 + 13*b**2 - 3*b - 28. Determine y(-13).
11
Let b(p) = 11*p - 61. Calculate b(5).
-6
Let d(i) = -i**3 - 5*i**2 - 2*i + 6. Give d(-6).
54
Let p(h) = h - 12. Calculate p(9).
-3
Let l(u) = u**2 - 13*u + 20. Give l(11).
-2
Let f(p) = 15*p**3 + p**2 - p - 1. Calculate f(-1).
-14
Let t(f) = -f**2 - 19*f + 23. Give t(-20).
3
Let b(a) = a**2 + 9*a - 2. Calculate b(-10).
8
Let v(y) = 15*y + 64. What is v(-4)?
4
Let a(f) = 13*f**3 + f - 1. Calcu | {
"pile_set_name": "DM Mathematics"
} |
of 11148787, 11148784, 11148781, 11148778, 11148775, 11148772?
-3*n + 11148790
What is the j'th term of 194623299, 194623295, 194623291, 194623287, 194623283, 194623279?
-4*j + 194623303
What is the s'th term of -115, -1070, -2875, -5530?
-425*s**2 + 320*s - 10
What is the f'th term of -2327, -1204, 669, 3292, 6665, 10788, 15661?
375*f**2 - 2*f - 2700
What is the d'th term of -21674467, -21674470, -21674473, -21674476, -21674479?
-3*d - 21674464
What is the a'th term of 229188, 458343, 687498?
229155*a + 33
What is the k'th term of 93948924, 93948925, 93948926?
k + 93948923
What is the b'th term of -8854304, -17708609, -26562912, -35417213?
b**2 - 8854308*b + 3
What is the t'th term of -1132676, -1132704, -1132750, -1132814, -1132896, -1132996, -1133114?
-9*t**2 - t - 1132666
What is the d'th term of -2663241, -5326497, -7989767, -10653051, -13316349, -15979661?
-7*d**2 - 2663235*d + 1
What is the c'th term of 454234, 908402, 1362570, 1816738?
454168*c + 66
What is the s'th term of -167066, -333731, -500404, -667085, -833774?
-4*s**2 - 166653*s - 409
What is the w'th term of -379692, -379696, -379700?
-4*w - 379688
What is the p'th term of -2505, -2418, -2257, -2010, -1665?
2*p**3 + 25*p**2 - 2*p - 2530
What is the g'th term of -6728, -1882, 2964, 7810?
4846*g - 11574
What is the z'th term of 134145428, 134145429, 134145430, 134145431, 134145432, 134145433?
z + 134145427
What is the q'th term of 45787, 91146, 136507, 181870, 227235, 272602?
q**2 + 45356*q + 430
What is the y'th term of -21021, -83802, -188355, -334680?
-20886*y**2 - 123*y - 12
What is the p'th term of -3376, -13233, -29662, -52663?
-3286*p**2 + p - 91
What is the v'th term of 1345, 1469, 1895, 2767, 4229?
24*v**3 + 7*v**2 - 65*v + 1379
What is the s'th term of 141, 221, 233, 177, 53, -139?
-34*s**2 + 182*s - 7
What is the g'th term of 679107, 679413, 679719, 680025, 680331?
306*g + 678801
What is the f'th term of 721, 4247, 12621, 27889, 52097?
341*f**3 + 378*f**2 + 5*f - 3
What is the i'th term of -900, -3912, -9036, -16272, -25620?
-1056*i**2 + 156*i
What is the q'th term of 2425577, 2425560, 2425531, 2425490?
-6*q**2 + q + 2425582
What is the r'th term of 54175, 108299, 162421, 216541, 270659?
-r**2 + 54127*r + 49
What is the b'th term of 426, 1241, 2070, 2913, 3770, 4641?
7*b**2 + 794*b - 375
What is the h'th term of -1459, -5654, -12397, -21496, -32759, -45994, -61009, -77612?
32*h**3 - 1466*h**2 - 21*h - 4
What is the s'th term of 43233, 42888, 42545, 42204?
s**2 - 348*s + 43580
What is the f'th term of 71895, 287409, 646553, 1149321, 1795707, 2585705, 3519309?
-f**3 + 71821*f**2 + 58*f + 17
What is the p'th term of 545, 9097, 25643, 50183, 82717, 123245, 171767?
3997*p**2 - 3439*p - 13
What is the z'th term of -418819, -418448, -418077?
371*z - 419190
What is the v'th term of -13, -271, -1069, -2689, -5413, -9523?
-47*v**3 + 12*v**2 + 35*v - 13
What is the x'th term of -71645858, -143291718, -214937578, -286583438?
-71645860*x + 2
What is the q'th term of 12411, 24341, 36271, 48201, 60131?
11930*q + 481
What is the g'th term of 7267, 13888, 20535, 27220, 33955, 40752, 47623, 54580?
2*g**3 + g**2 + 6604*g + 660
What is the s'th term of -27552, -27721, -27890, -28059, -28228, -28397?
-169*s - 27383
What is the n'th term of 37683, 75040, 112399, 149760, 187123, 224488?
n**2 + 37354*n + 328
What is the y'th term of 2086693, 8346759, 18780201, 33387019, 52167213, 75120783?
2086688*y**2 + 2*y + 3
What is the m'th term of 25286, 101150, 227592, 404612, 632210?
25289*m**2 - 3*m
What is the g'th term of 1839, 3524, 5203, 6876, 8543, 10204?
-3*g**2 + 1694*g + 148
What is the o'th term of 143497, 573787, 1290935, 2294941, 3585805, 5163527?
143429*o**2 + 3*o + 65
What is the m'th term of -10406, -20860, -31320, -41786, -52258, -62736?
-3*m**2 - 10445*m + 42
What is the o'th term of -562, -2159, -4948, -9031, -14510, -21487, -30064, -40343?
-17*o**3 - 494*o**2 + 4*o - 55
What is the y'th term of -4, 1165, 4652, 11615, 23212?
193*y**3 + y**2 - 185*y - 13
What is the s'th term of 74834, 149385, 223638, 297593, 371250?
-149*s**2 + 74998*s - 15
What is the i'th term of 4665, 4655, 4587, 4431, 4157, 3735, 3135, 2327?
-5*i**3 + i**2 + 22*i + 4647
What is the n'th term of -21858, -23062, -25072, -27888, -31510, -35938?
-403*n**2 + 5*n - 21460
What is the i'th term of 4, 254, 774, 1618, 2840?
9*i**3 + 81*i**2 - 56*i - 30
What is the f'th term of 1047, 6243, 18673, 41421, 77571, 130207?
514*f**3 + 533*f**2 - f + 1
What is the w'th term of 2301502, 2301542, 2301584, 2301628, 2301674, 2301722?
w**2 + 37*w + 2301464
What is the l'th term of 85731, 171176, 256625, 342078?
2*l**2 + 85439*l + 290
What is the u'th term of -5250, -42337, -143022, -339111, -662410, -1144725, -1817862, -2713627?
-5301*u**3 + 7*u**2 - u + 45
What is the t'th term of 4088, 16096, 36032, 63896, 99688, 143408?
3964*t**2 + 116*t + 8
What is the l'th term of -8471273, -8471281, -8471289, -8471297, -8471305?
-8*l - 8471265
What is the y'th term of 20389, 81651, 183739, 326641, 510345, 734839?
-2*y**3 + 20425*y**2 + y - 35
What is the u'th term of 466264, 466302, 466374, 466486, 466644, 466854, 467122, 467454?
u**3 + 11*u**2 - 2*u + 466254
What is the i'th term of -5687, -4939, -2897, 1087, 7661, 17473, 31171?
108*i**3 - i**2 - 5*i - 5789
What is the a'th term of -52053, -104095, -156137, -208179?
-52042*a - 11
What is the s'th term of -801, -1401, -2005, -2613, -3225?
-2*s**2 - 594*s - 205
What is the a'th term of 29558, 57913, 86268, 114623?
28355*a + 1203
What is the y'th term of -81560, -163151, -244742, -326333, -407924, -489515?
-81591*y + 31
What is the p'th term of 984, 2139, 3618, 5553, 8076, 11319, 15414?
22*p**3 + 30*p**2 + 911*p + 21
What is the g'th term of -6301, -12160, -18043, -23962, -29929, -35956?
-2*g**3 - 5845*g - 454
What is the j'th term of 10557, 42058, 94519, 167946, 262345?
j**3 + 10474*j**2 + 72*j + 10
What is the n'th term of -70196, -140662, -211128, -281594?
-70466*n + 270
What is the q'th term of -69626196, -139252393, -208878590, -278504787, -348130984, -417757181?
-69626197*q + 1
What is the i'th term of 144249, 288493, 432737, 576981, 721225?
144244*i + 5
What is the c'th term of 391782, 391759, 391722, 391671, 391606, 391527, 391434?
-7*c**2 - 2*c + 391791
What is the l'th term of -1597, -6443, -14455, -25633, -39977, -57487?
-1583*l**2 - 97*l + 83
What is the j'th term of 557, 745, 583, -103, -1487, -3743, -7045, -11567?
-29*j**3 - j**2 + 394*j + 193
What is the k'th term of 697073989, 697073990, 697073991, 697073992, 697073993?
k + 697073988
What is the m'th term of -41656, -86820, -131984, -177148?
-45164*m + 3508
What is the j'th term of 598439, 598297, 598155?
-142*j + 598581
What is the n'th term of 2115843, 2115498, 2114931, 2114148, 2113155, 2111958?
n**3 - 117*n**2 - n + 2115960
What is the m'th term of 7704, 11010, 14314, 17616, 20916?
-m**2 + 3309*m + 4396
What is the z'th term of 1472, 3409, 6638, 11159, 16972?
646*z**2 - z + 827
What is the p'th term of -68937520, -137875043, -206812566?
-68937523*p + 3
What is the l'th term of -15864, -63421, -142676, -253623, -396256, -570569?
l**3 - 15855*l**2 + l - 11
What is the p'th term of -126199, -253150, -380101, -507052, -634003, -760954?
-126951*p + 752
What is the n'th term of -11136147, -22272286, -33408425, -44544564, -55680703?
-11136139*n - 8
What is the j'th term of 20652, 5251, -20408, -56319, -102476, -158873, -225504?
j**3 - 5135*j**2 - 3*j + 25789
What is the k'th term of -341, -1941, -4607, -8339, -13137, -19001?
-533*k**2 - k + 193
What is the o'th term of 15353540, 30707079, 46060618, 61414157, 76767696, 92121235?
15353539*o + 1
What is the p'th term of 30292, 60274, 90256, 120238, 150220?
29982*p + 310
What is the c'th term of 45754, 183232, 412354, 733120?
45822*c**2 + 12*c - 80
What is the l'th term of 19100, 76470, 172102, 306002, 478176?
l**3 + 19125*l**2 - 12*l - 14
What is the b'th term of -219, 715, 1661, 2619, 3589, 4571, 5565?
6*b**2 + 916*b - 1141
What is the c'th term of -19835978, -19835970, -19835950, -19835912, -19835850, -19835758?
c**3 + c - 19835980
What is the t'th term of 696172, 1392356, 2088540, 2784724, 3480908, 4177092?
696184*t - 12
What is the q'th term of 15289, 15901, 16519, 17143, 17773 | {
"pile_set_name": "DM Mathematics"
} |
the nearest to -2/7? (a) 5 (b) 42/23 (c) -0.3
c
What is the nearest to -6 in 0.4, -0.1, 6/5, 77?
-0.1
What is the closest to -8 in 0.4, -2, 4?
-2
What is the nearest to 0.12 in 3/7, -6, -0.1?
-0.1
What is the closest to 0.1 in -3, 3, 3/8, 18?
3/8
Which is the nearest to 49? (a) 0.5 (b) 5 (c) -5
b
Which is the closest to 0.31? (a) 3 (b) 1 (c) -4 (d) 2
b
Which is the closest to 0.2? (a) 1.4 (b) -1/8 (c) -3/7
b
What is the nearest to -1/17 in -6/7, 0, -0.3, 0.2?
0
What is the closest to 2/7 in 0.5, -0.1, 4, 9?
0.5
Which is the closest to 1/2? (a) 1/5 (b) 2 (c) -1.3
a
What is the closest to 1/4 in 2, 0.5, -0.07, -5/3?
0.5
Which is the nearest to 1/4? (a) 4 (b) 1 (c) 0.11 (d) 0.5
c
Which is the closest to -977? (a) -5 (b) -3/2 (c) 0.5
a
What is the closest to 3 in 2/11, 2/7, 0.02, -2/9?
2/7
What is the closest to 1 in -6, 4, 0?
0
What is the closest to 0 in -0.2, -90, 4?
-0.2
Which is the nearest to 1? (a) -1 (b) 5 (c) -13
a
Which is the closest to 1? (a) -13/3 (b) -66 (c) 2
c
Which is the closest to 0? (a) 2/11 (b) -14 (c) 3 (d) -6
a
What is the closest to 3/2 in -5, 1, 1/6, 11?
1
What is the closest to 0 in -0.2, -2, 17, -4?
-0.2
What is the nearest to -1/4 in -18, -2, -2/17, -1/3?
-1/3
Which is the nearest to 30? (a) -4 (b) -3 (c) -2
c
Which is the nearest to -0.5? (a) -11 (b) -4/3 (c) -2/23
c
What is the nearest to 0.1 in 1/2, 0.9, -2/9?
-2/9
What is the nearest to -0.6 in -1, -4, -30?
-1
What is the closest to 2/17 in -0.024, 4, 9?
-0.024
What is the nearest to 0.1 in -4, 2.3, 0, 0.1?
0.1
What is the closest to 8 in 0.2, -5, 18?
0.2
Which is the closest to 0.1? (a) 20 (b) 3 (c) 0 (d) 7
c
What is the nearest to -1 in 0.024, -4, -19, 3?
0.024
What is the closest to -0.1 in 2/9, 2, -1/6, 68?
-1/6
What is the nearest to 6 in -4, 15, -0.1?
-0.1
Which is the closest to -7/80? (a) 0.05 (b) 1/4 (c) 0
c
What is the nearest to 1/3 in 2, -8, 4, -4?
2
Which is the closest to 302? (a) 0 (b) -9 (c) 2
c
What is the nearest to -12 in -0.2, -1, -2?
-2
What is the nearest to 4 in 2, -3, 0.3, -14?
2
What is the closest to 0.3 in -1/7, -1/6, -7/2?
-1/7
Which is the closest to 0? (a) 0.4 (b) 106 (c) 3
a
Which is the nearest to -0.3? (a) 14 (b) 0 (c) -0.3 (d) -4/7
c
Which is the closest to 1? (a) 4 (b) 14 (c) -3 (d) 1/3
d
What is the closest to -2/7 in 4, 0, -1, 0.05?
0
What is the closest to -2 in 4, -1/2, 0.2, 0.1?
-1/2
What is the nearest to -3 in -2, 2, 1/33?
-2
Which is the nearest to -2/7? (a) -1/10 (b) -2 (c) 5/11 (d) 0.1
a
What is the nearest to 2 in -0.2, 3, 4/11?
3
Which is the nearest to 3? (a) -14 (b) -4 (c) -3 (d) 7
d
Which is the nearest to 1/9? (a) 2 (b) -18 (c) 0.1 (d) -1
c
What is the closest to -0.2 in 0.9, -0.3, 0.13?
-0.3
What is the nearest to -1 in 2/5, -1/4, -4?
-1/4
What is the closest to -6 in 12/7, 5, 0.2?
0.2
Which is the nearest to -33? (a) 1/4 (b) 5 (c) -0.22
c
What is the closest to 2 in -5, 8, -1?
-1
What is the nearest to -1/4 in 3, -16.1, 6, -1?
-1
Which is the closest to 0.02? (a) 5 (b) 0.4 (c) -42
b
What is the nearest to -0.1 in 0.2, 167, -5?
0.2
Which is the closest to 1? (a) 3 (b) -4 (c) -0.2 (d) 7/2
c
What is the closest to 0 in 0.09, 260, 5?
0.09
What is the closest to 2.76 in 4, -3, 0.05?
4
Which is the nearest to 0.02? (a) 3 (b) 2 (c) 0.14
c
Which is the nearest to 1/3? (a) 0.3 (b) 2 (c) 2/3 (d) -0.05
a
What is the closest to 4/11 in -3, -0.2, 6, -5?
-0.2
What is the nearest to -1 in -2/43, 5, -3/5, -26?
-3/5
What is the closest to -0.1 in -2/5, 3, -0.044?
-0.044
What is the closest to 2/21 in -15/7, -3, 5?
-15/7
What is the closest to -2/3 in -5, 2/3, -0.3, -0.11?
-0.3
Which is the closest to 0? (a) -0.1 (b) -1/3 (c) -1 (d) -2
a
What is the nearest to 1 in 0.2, -3/7, -53, 0.3?
0.3
Which is the closest to 0? (a) 4/5 (b) 3/7 (c) 1.2
b
What is the nearest to 1 in -0.7, -1/11, -2/11?
-1/11
What is the nearest to 0.3 in -5/4, 2/45, -1/2, -2/9?
2/45
What is the closest to -1/17 in -1, 5, -0.5?
-0.5
Which is the nearest to 8? (a) 0 (b) 4 (c) -6/19 (d) 5
d
Which is the nearest to -1/4? (a) -8/65 (b) -1 (c) 0.1 (d) -3/2
a
What is the nearest to 9 in -3, 0.4, -4, -1/4?
0.4
Which is the closest to 0.2? (a) -4 (b) 6 (c) 0.2
c
Which is the closest to 0? (a) -0.5 (b) -3 (c) -12 (d) 6
a
Which is the nearest to -1? (a) 886 (b) -1 (c) -3 (d) -4
b
What is the closest to 1 in -3, -4, -1.1, -2/7?
-2/7
Which is the closest to 0.2? (a) 0.5 (b) -1/22 (c) -3
b
Which is the nearest to 0.1? (a) 1/3 (b) 0.2 (c) 3 (d) -259
b
Which is the closest to 0? (a) 1/9 (b) -7 (c) -0.1
c
What is the closest to -0.1 in 5, -26, 3, 0?
0
Which is the nearest to 1? (a) 6 (b) 0 (c) 0.2 (d) 0.14
c
Which is the nearest to 5/3? (a) 2 (b) 0.5 (c) 4/5
a
What is the nearest to -2/23 in 0, 2/3, 5, 0.4?
0
Which is the nearest to 2/9? (a) -0.2 (b) -5/6 (c) 4 (d) 1
a
Which is the nearest to 0? (a) -0.07 (b) -1 (c) -0.15
a
Which is the nearest to -1/3? (a) -73/4 (b) -0.1 (c) 0.1
b
What is the nearest to 49 in -0.2, -3, -4/3, 1?
1
What is the closest to 1 in 1, 14, 0.5, -3?
1
What is the closest to -2/5 in 0.5, -0.9, 1/3?
-0.9
What is the closest to 7.2 in 5, -10, 0.1?
5
Which is the nearest to -1? (a) -49 (b) 4/7 (c) -3/5 (d) 2
c
Which is the closest to 0? (a) -28 (b) -0.1 (c) -9 (d) -0.2
b
Which is the nearest to 2/13? (a) 0 (b) 12 (c) -0.03 (d) 1
a
What is the nearest to 0.07 in -2, -4, 1, -0.1?
-0.1
What is the nearest to 0 in 3, -0.3, -4, 4/3?
-0.3
Which is the nearest to -535? (a) 0.2 (b) -0.3 (c) 5 (d) -2/9
b
What is the nearest to 0.1 in -1, 5, -0.14, -2/81?
-2/81
Which is the nearest to -0.1? (a) -5 (b) 0.5 (c) -1/19 (d) 0
c
What is the nearest to 1 in 2/13, 0.1, 113?
2/13
What is the closest to 1 in 0, -10, -1/4, 5?
0
Which is the closest to 2/7? (a) -5 (b) 0.9 (c) 5 (d) 1
b
Which is the nearest to 1/31? (a) -1/8 (b) 5/7 (c) -0.3
a
Which is the closest to -1/2? (a) -20/11 (b) -4 (c) -0.4 (d) 5/3
c
Which is the nearest to 1? (a) -9 (b) -0.5 (c) 2/7
c
What is the nearest to -2 in -1/8, -1, -5.1, -5?
-1
What is the closest to -3/5 in -2, -0.4, -8?
-0.4
Which is the nearest to 2/5? (a) 0.2 (b) 6 (c) -13 (d) 1/6
a
Which is the nearest to -0.3? (a) -5 (b) -0.06 (c) -1/3
c
What is the closest to 0.1 in 6, -2/9, -0.3, 3/5?
-2/9
What is the nearest to -0.3 in 44, 1/4, 0.1, 0.4?
0.1
Which is the closest to 0.2? (a) -2 (b) -0.4 (c) -35
b
What is the nearest to 1/2 in -5, -1/4, -2/11, 1/3?
1/3
Which is the nearest to 1? (a) 2/3 (b) 0.03 (c) -0.4 (d) -0.1
a
What is the nearest to -0.27 in -4, 0.4, -1, 0.3?
0.3
What is the closest to -18 in -7, 3, 2, -0.5?
-7
What is the nearest to -4 in 0.4, 5, 0.25?
0.25
Which is the nearest to 1? (a) -1/2 (b) 8 (c) 2/33 (d) 0.3
d
Which is the closest to -2/7? (a) -12 (b) 2 (c) 1/9 (d) -32
c
What is the nearest to 3 in 0.4, -1, 0?
0.4
Which is the closest to -3/4? (a) -5 (b) -0.1 (c) -12/7
b
What is the nearest to -24/11 in -12, 3, -2/7, -0.4?
-0.4
What is the nearest to 0.2 in 1, -2/7, -12, -3?
-2/7
What is the nearest to -4/7 in -1/4, -1/5, 2, -2/7?
-2/7
What is the nearest to 1/2 in 3.9, 2/11, -0.1, -2?
2/11
Which is the nearest to -3/2? (a) 2 (b) 41 (c) 5 (d) -1
d
What is the nearest to -2/3 in -4, -1/2, 189?
-1/2
What is the nearest to -14 in 1/38, 1/7, 1?
1/38
What is the closest to 0.1 in 1, -3.1, 3, -1/6?
-1/6
Which is the closest to -2? (a) 1/11 (b) 2 (c) 1/5 (d) -2
d
Which is the nearest to -0.3? (a) 0.2 (b) 0.4 (c) -1/8 (d) -2
c
What is the closest to 1/2 in -4, 5.2, 3/2?
3/2
What is the nearest to 15 in -5, 2, -0.4, 1?
2
Which is the nearest to -1? (a) -5 (b) -0.026 (c) -4
b
What is the nearest to 2/35 in -2/3, -2, 0.3, -0.2?
0.3
Which is the closest to 2/7? (a) -3 (b) -68 (c) 0.4
c
Which is the nearest to 0? (a) -2 (b) 19 (c) -4 (d) 1/7
d
Which is the nearest to -3.1? (a) 2/11 (b) 0.1 (c) 2/7 (d) -4
d
Which is the closest to 2? (a) -2 (b) 4 (c) -2/17
b
Which is the nearest to -0.02? (a) 2 (b) -4 (c) -2/5
c
What is the nearest to -1/4 in -3, -2/5, 2/19, 3?
-2/5
What is the nearest to -42 in -5, 2, 0.2?
-5
What is the nearest to 0 in -0.1, 0.09, -3, 1?
0.09
Which is the closest to -40? (a) -2 (b) 1 | {
"pile_set_name": "DM Mathematics"
} |
77?
-0.00031339
Calculate -0.2*-29.18.
5.836
10 times -212449
-2124490
Product of -26 and 2.8286.
-73.5436
Product of -14.6 and 214.
-3124.4
-19*5615
-106685
Multiply 21495.52 and 1.
21495.52
190615 times 11
2096765
-1972*0.109
-214.948
Calculate 0.5*4507.9.
2253.95
Multiply -0.9 and 477.9.
-430.11
Product of 89557 and -0.24.
-21493.68
Product of 12.07 and -98.
-1182.86
Work out -2.2 * 596.
-1311.2
Calculate -344893*3.
-1034679
Product of -21624 and -0.4.
8649.6
What is 1547.151 times -0.5?
-773.5755
What is the product of 0.6 and 0.148857?
0.0893142
0.216 * 17
3.672
Calculate -789.83*38.
-30013.54
-44.8*-352
15769.6
-0.2 * 76.14
-15.228
-0.075814 * 5
-0.37907
Product of -131.9 and -141.
18597.9
Multiply 0.5 and -38.666.
-19.333
Product of -32 and 118334.
-3786688
What is the product of 10954 and -1?
-10954
Product of 0.195 and 0.0225.
0.0043875
Product of -2 and -743.
1486
37*-11104
-410848
3 times 15476
46428
What is the product of 357 and -125?
-44625
Calculate -326.88*-4.
1307.52
Product of 49026 and -12.
-588312
What is 0.005 times -4.48?
-0.0224
94969 times -1
-94969
What is -14.1 times 2753?
-38817.3
What is the product of 1 and -22.023?
-22.023
-129 times 63
-8127
Calculate -4*0.31526.
-1.26104
Calculate -118.9919*-1.
118.9919
-0.4 * 3.1846
-1.27384
-9.3 times 101
-939.3
-0.72 times 9
-6.48
What is the product of 0.3 and 8109?
2432.7
Product of -7 and -1861.
13027
Calculate -3*0.019769.
-0.059307
What is -0.3398 times 0.07?
-0.023786
-0.2 times -0.63453
0.126906
-141*-0.7
98.7
0.157*-0.0074
-0.0011618
-43 * 6904
-296872
Calculate 6*0.04656.
0.27936
-45 times -448
20160
What is 16.316 times -0.1?
-1.6316
Multiply -1 and 193438.
-193438
What is 43907 times 0.07?
3073.49
Calculate 463.066*-0.2.
-92.6132
Calculate 7635*0.04.
305.4
Work out 0.02 * 283.
5.66
-423 * 0.768
-324.864
What is 0.3 times -23394?
-7018.2
Work out -0.2 * -3722.
744.4
1.79822 times -0.5
-0.89911
288.4 times 0.15
43.26
-0.5 * -0.16251
0.081255
0.1 times 2057
205.7
What is 43.51 times -36?
-1566.36
Work out -9110 * -0.5.
4555
What is the product of 2.45 and 0.454?
1.1123
-5*6.041
-30.205
-3 * -1509
4527
653800*0.4
261520
What is -55 times -0.1742?
9.581
What is 20.31 times 0.12?
2.4372
What is the product of -503.6 and 0.23?
-115.828
-27861*-0.1
2786.1
Calculate -0.2*-80384.
16076.8
3.5 times -113.3
-396.55
-23*0.986
-22.678
5851 * 3
17553
Calculate 0.3*-0.8712.
-0.26136
Product of 195927 and 3.1.
607373.7
What is the product of 6590.5 and 4?
26362
Calculate 0.047171*0.9.
0.0424539
Multiply -5524 and -0.08.
441.92
Work out -5 * 0.14984.
-0.7492
-5058 times 102
-515916
Product of 266181 and 0.1.
26618.1
What is 0.3 times 195.38?
58.614
Multiply -0.14 and -3544.
496.16
1430095 * 0.3
429028.5
What is the product of -5 and -0.063726?
0.31863
Calculate 10*18.98.
189.8
-4 times -0.24192
0.96768
113.9 times -2.4
-273.36
What is 2739 times -6.3?
-17255.7
What is 0.127664 times 3?
0.382992
Work out -0.77531 * 0.3.
-0.232593
Calculate 0.2982*-1.
-0.2982
Calculate -2964*-388.
1150032
-0.4*1602.03
-640.812
Calculate 50*-82.4.
-4120
Calculate -16*298.3.
-4772.8
What is -28 times -605.8?
16962.4
Calculate 0.051*734.
37.434
Work out -0.08293 * -8.
0.66344
-0.1 times -283720
28372
What is the product of 369 and 50?
18450
-0.6 * -163847
98308.2
Multiply 11491552 and -3.
-34474656
955*-0.696
-664.68
-46.19 * -1.8
83.142
Calculate 8*-4861.
-38888
Multiply 0.2 and 1038.405.
207.681
1.6*-0.1984
-0.31744
-5 * -0.0081
0.0405
Product of -0.96 and -4994.
4794.24
Product of 2.38 and 0.309.
0.73542
Multiply 0.9 and -32063.
-28856.7
What is the product of 0.132 and 1.3791?
0.1820412
Work out -25 * -4904.
122600
Multiply -0.0146363 and 0.1.
-0.00146363
What is the product of 4299 and -15?
-64485
-721*0.05
-36.05
-0.0535 * -0.089
0.0047615
Calculate -2138.9*8.
-17111.2
Multiply 90 and 218.
19620
Calculate -1014*9.8.
-9937.2
-2209.5 * 0.4
-883.8
-0.43*-183
78.69
What is 0.188 times -8562?
-1609.656
1305 * 142
185310
Product of 3.1 and -115.
-356.5
What is 2.4486 times -5?
-12.243
What is the product of 0.21 and 0.1577?
0.033117
Calculate 2.2*-2.615.
-5.753
928885 times -0.1
-92888.5
-71 times 211.5
-15016.5
Multiply -6 and -4079.
24474
Calculate -4.44*-2.565.
11.3886
Calculate -67.4*-2727.
183799.8
-786 * 0.07106
-55.85316
What is -4 times 47283?
-189132
-6867 times 1.09
-7485.03
Calculate -3.4*6.
-20.4
Work out -0.2 * 72525.
-14505
Multiply 43.1 and -0.0368.
-1.58608
Work out 1693 * -926.
-1567718
-44595*0.2
-8919
Multiply 142 and 1.43.
203.06
What is the product of -18.7 and -3.68?
68.816
465*-0.547
-254.355
1060 * -2
-2120
Work out 40794 * -0.045.
-1835.73
Calculate 14.59*-49.
-714.91
Multiply 21.9 and 2.8.
61.32
Calculate -3194.878*-4.
12779.512
Calculate -74*0.0161.
-1.1914
Work out 0.3 * -294.977.
-88.4931
114 times 16.17
1843.38
Calculate -0.0342077*2.
-0.0684154
-0.2 * 8350
-1670
-0.09 times 0.07549
-0.0067941
-33006 times -0.07
2310.42
What is 3.412 times -45?
-153.54
Calculate -6.79*0.301.
-2.04379
Work out -13.3974 * 5.
-66.987
What is 3.2 times -9?
-28.8
What is the product of 0.29281 and -14?
-4.09934
Product of 2.3 and 2.194.
5.0462
What is the product of -0.3 and -6.18?
1.854
1447020 times -0.4
-578808
What is 139 times -611?
-84929
What is 3132 times 0.192?
601.344
Multiply 121 and 112.
13552
Work out 0.4411 * 290.
127.919
87*-29
-2523
What is the product of -0.099 and -153?
15.147
35.524 * -1
-35.524
-104*-3934.1
409146.4
What is the product of 2916515 and -0.5?
-1458257.5
6034 times -0.4
-2413.6
What is -92 times -0.231?
21.252
What is -3 times -33072?
99216
Calculate 0.5137*-1.93.
-0.991441
Work out 0.2 * 12.9384.
2.58768
Work out 1087976 * -1.
-1087976
Work out -594 * 10.
-5940
Work out -0.2 * 1.11695.
-0.22339
Work out 55312 * 1.
55312
Multiply 0.069 and 3.2158.
0.2218902
Work out -5 * -28343.
141715
What is 0.2 times 1.876?
0.3752
0.749 times 0
0
Calculate -3111*0.0844.
-262.5684
Multiply -31456 and 2.8.
-88076.8
What is 93 times 1017?
94581
54 * 2228
120312
Multiply 0.02 and 52.1944.
1.043888
-12711*-1
12711
5511*225
1239975
Work out 3 * -175821.
-527463
What is the product of 2.7 and 6.68?
18.036
What is 1.3093 times 29?
37.9697
-0.0345 * -0.011
0.0003795
Work out -77411 * 63.
-4876893
Work out 74.45 * 0.2.
14.89
What is the product of -51678 and -0.2?
10335.6
-244.29 * 3
-732.87
What is the product of 334641 and -0.1?
-33464.1
Product of 90 and -2366.
-212940
What is 1.1 times 5.9627?
6.55897
What is -0.04 times -0.139337?
0.00557348
104 times -22.17
-2305.68
Work out 2682 * -44.6.
-119617.2
84019 times -27
-2268513
Calculate -0.03962*-1.48.
0.0586376
Work out 0.27046 * 1.
0.27046
-44.38*-200
8876
Calculate -0.4*-50091.
20036.4
Work out 236530 * 0.5.
118265
What is the product of 4384 and 34?
149056
20 * 3065
61300
Calculate -1*-730431.
730431
What is -4 times 397580?
-1590320
-0.144*702
-101.088
-10*50.5
-505
Product of -28614 and -7.
200298
Multiply 0.5 and -3062.1.
-1531.05
What is -292652 times -0.1?
29265.2
391.3 times -0.02
-7.826
202 times -20.258
-4092.116
Work out -4 * 707956.
-2831824
-26829*2
-53658
Calculate 19560*-0.3.
-5868
Calculate -0.3*27470.
-8241
What is -0.4 times 115976?
-46390.4
What is -2118 times 5.35?
-11331.3
Calculate -0.44135*0.61.
-0.2692235
-224 times 383.4
-85881.6
Product of -2.53 and -29.4.
74.382
-0.052*-43.89
2.28228
-306*2.1
-642.6
What is -724 times 2668?
-1931632
Work out -9 * 2431.
-21879
What is the product of 0.12 and 1.974?
0.23688
Product of 4246 and 3.
12738
Calculate 57829*11.
636119
What is -1000407 times -3?
3001221
6043*-0.043
-259.849
0.3583599 * 1
0.3583599
What is the product of -453.93 and 22?
-9986.46
Work out -439 * 6.72.
-2950.08
What is -1 times -1603?
1603
Product of -5 and 19149.
-95745
What is the product of 63.25 and 0.16?
10.12
Calculate 18517*-284.
-5258828
What is the product of 16.311 and -5?
-81.555
-3*-144.6
433.8
Product of -2 and -28556.
57112
Calculate 784*-216.
-169344
4 * 6.393
25.572
What is -0.500709 times -0.2?
0.1001418
18332 times -45
-824940
Multiply 125 and -29.4.
-3675
Multiply -5198 and -0.02.
103.96
Calculate 80*2.057.
164.56
Calculate 903.352*0.5.
451.676
75 times 2166
162450
Calculate -12055*-0.7.
8438.5
0.06*46156.7
2769.402
58101 times 28
1626828
-6.12925*0.1
-0.612925
Multiply -2286.8 a | {
"pile_set_name": "DM Mathematics"
} |
unded to the nearest one thousand?
-4000
Let b(q) = 0 + q + 5 - 9 + 0*q. Let u be b(-7). Round u to the nearest ten.
-10
Let d(m) = 297*m**2 - 8*m + 3. Let s be d(7). What is s rounded to the nearest 1000?
15000
Let v = 11.25 + -11. Let r = -0.2412 + v. What is r rounded to 3 dps?
0.009
Let p = 0.1096 - 0.11. Round p to four dps.
-0.0004
Let g = -0.04 - -0.16. What is g rounded to 1 dp?
0.1
Let c be 1 + (1 + -610826 - -3). Let l = -60821 - c. What is l rounded to the nearest 100000?
600000
Let z(g) = 1932*g - 4. Suppose y = -4*y. Suppose 2*a + 6 = -y*a. Let c be z(a). What is c rounded to the nearest one thousand?
-6000
Let r = 0.02 + -0.09. Let g = r - 0.15. Round g to one decimal place.
-0.2
Let g be -5291507 - (0 - 1/(-1)). Let t = g - 1808492. Round t to the nearest 1000000.
-7000000
Let i = -3.473 - -3.81. What is i rounded to two dps?
0.34
Let i = 234492 + 1625508. Round i to the nearest 100000.
1900000
Let f = -3 + 5. Suppose 0*g + 4 = -5*g - 4*x, -1 = -g + x. Suppose -f*o + o - 28 = g. What is o rounded to the nearest ten?
-30
Let q = 1.904 - -0.086. Let k = -0.01 - q. Let t = k + 2.000001. Round t to five dps.
0
Let k = 6 + -2. Suppose 0 = -k*z + 4*n - 4, -2*z = 5*n - 0*n - 5. Let g be z + 1 + -1*470001. What is g rounded to the nearest one hundred thousand?
-500000
Let t = 11625.47 + -90.47. Let m = t + -11534.50006. Let d = -0.5 + m. Round d to five decimal places.
-0.00006
Let g = -0.346 + 16.046. Let c = 26.4 - g. Let z = 10.749 - c. Round z to two decimal places.
0.05
Let a = -2.28 + 0.08. Let c = -0.2 - a. Let p = -1.998 + c. What is p rounded to 2 decimal places?
0
Let o(c) = c**3 - 14*c**2 + 9*c + 16. Let b be o(13). What is b rounded to the nearest ten?
-40
Let j = 6.04 + -5. Round j to one decimal place.
1
Let n = 6.8 + 10.6. Let k = -22 + n. What is k rounded to zero dps?
-5
Let n = 0.752 - 0.7. What is n rounded to 2 dps?
0.05
Let n = 0.11 - -0.49. Let k = 10.3 + -9.712. Let m = k - n. What is m rounded to three decimal places?
-0.012
Let r = -6 + 12. Let j = r - 6. What is j rounded to the nearest one million?
0
Let g = 127694568 - 64556785. Let u = 63137741.0000068 - g. Let o = -42 - u. What is o rounded to six dps?
-0.000007
Let c(n) = n**3 - 7*n**2 + 5*n - 2. Let y be c(6). Let z(p) = 2*p + 12. Let q be z(y). Let v be 442 + (q - (-4 + 2)). Round v to the nearest 100.
400
Let x(w) = -9*w - 1. Let r be x(1). Let d be ((-20)/r)/(1/20). Let l be (-1 + 251)/((-2)/d). What is l rounded to the nearest 1000?
-5000
Let t = 468.998924 + -469. What is t rounded to four decimal places?
-0.0011
Let y = 8 + -8.65. What is y rounded to 1 dp?
-0.7
Let i = -649140 + 416140. What is i rounded to the nearest 10000?
-230000
Let s = -1575 - -2625. Round s to the nearest 100.
1100
Let d = 53 + -53.039. Let i = d + 0.529. What is i rounded to 1 decimal place?
0.5
Suppose j - 4*j + 21 = 0. Suppose 5 + j = 4*w. What is w rounded to the nearest integer?
3
Let c = 2.94 + -3. Let f = 3.3094 - 3.37. Let m = f - c. Round m to 3 decimal places.
-0.001
Suppose 0 = 3*r + 9 + 3. Let t be ((-316)/(-3))/(r/(-30)). Round t to the nearest one hundred.
800
Suppose 4*b = -b + 70000000. What is b rounded to the nearest one million?
14000000
Suppose -4*j = a - 80, 4*j - 80 = 5*a - 3*a. Suppose t + 4*t = j. Let f be t/(-16) + (-5682)/(-8). What is f rounded to the nearest 100?
700
Let p = 0.03 + -0.1. Let z = p - -0.106. Round z to two dps.
0.04
Let k = -8.96 + 0.76. Round k to the nearest integer.
-8
Let d = 0.2 - 0.38. Let q = d + 17.18. Let z = 17.021 - q. What is z rounded to 2 decimal places?
0.02
Let h = 6 - 7. Let y be h*3 - (2 + -127). Round y to the nearest 10.
120
Suppose 2*o - 3*z + 5099466 = -o, -2*z + 8499098 = -5*o. Let h = -123722 + -176096. Let x = h - o. What is x rounded to the nearest one hundred thousand?
1400000
Let k = -104823 - -74423. What is k rounded to the nearest one thousand?
-30000
Let d = 394.45 - 391.6553. Let u = 0.8 - 3.6. Let n = d + u. What is n rounded to three dps?
-0.005
Let c(u) = 197*u + 5. Let v be c(-5). Let z = v - -1400. What is z rounded to the nearest one hundred?
400
Let j = -9 - 1. Let d = -10.0048 - j. Round d to 3 dps.
-0.005
Let z = 55.22 - 55. What is z rounded to 1 dp?
0.2
Let z(h) be the first derivative of -21249998*h**2 + 2. Let j be z(-1). Suppose f + 5*t - 3*t = 8500008, -j = -5*f + t. Round f to the nearest 1000000.
9000000
Let t be (-1)/5 + 9/(-5). Let n(i) be the second derivative of -83*i**3/2 + i**2 - 2*i. Let d be n(t). Round d to the nearest one thousand.
1000
Suppose -r + 5428 + 2573 = 5*s, 5*s = r + 7999. Suppose 0 = -5*u + u - s. Round u to the nearest 100.
-400
Let p = -31.0000156 - -31. Round p to 6 dps.
-0.000016
Let a = 226.14 + -224. Round a to 1 decimal place.
2.1
Let d = 42.039 + -42. What is d rounded to 2 dps?
0.04
Let z = -19 + 21. Suppose 3*b - z*b = -19300000. Round b to the nearest 1000000.
-19000000
Let q = 23 + -16. Let o = q + -7.1. What is o rounded to 2 decimal places?
-0.1
Suppose -1 = -2*c - 3*m + 11, 4*m = 5*c - 7. Let v be 4550001/(-5) + c/15. Round v to the nearest one hundred thousand.
-900000
Let w = 700.74 - 694. Let x = -5.5 + w. Let f = x + -2.58. What is f rounded to one dp?
-1.3
Let q = -869.6609 - -870. Let p = -0.6397 + q. Let j = p + 0.3. What is j rounded to 3 decimal places?
-0.001
Let x = -1.42 - -1.2. Let c = x - 17.78. Let h = c + 17.993. Round h to 3 dps.
-0.007
Let m = 0.12 + -5.12. Let t = -4 - m. Let u = 1.0000001 - t. What is u rounded to six decimal places?
0
Let w = 1 + -9. Let m = 8.006 + w. Round m to two dps.
0.01
Suppose 3*h + 2*s = 9, -6*s + 4*s + 4 = -2*h. Let i be h/2*(1 - 1). Suppose i*r - 8200 = 2*r. What is r rounded to the nearest one thousand?
-4000
Let f(a) = a**2 - 6*a - 1. Let l be f(3). Let g be l*(-3)/(-6)*3. Let c be (-810006)/g + (-4)/10. Round c to the nearest 10000.
50000
Let l = 0.9 - -53.1. Let j = -59.2 + l. Round j to the nearest integer.
-5
Let x(w) = w**3 - 4*w**2 - 5*w - 2. Let c be x(5). Suppose 3*z = 4*z + 12. Let i be c/6 + (-724)/z. What is i rounded to the nearest ten?
60
Let m = -339310 + 479310. What is m rounded to the nearest one hundred thousand?
100000
Let r = 0.409 - -0.011. Let a = 0.4199834 - r. Round a to 6 decimal places.
-0.000017
Let d = -41 + 152. Let i = 155.1304 + -266.1255. Let k = i + d. What is k rounded to three decimal places?
0.005
Let j(w) = 5*w**2 + 10*w + 11. Let m be j(-8). Suppose -199 - m = h. What is h rounded to the nearest one hundred?
-500
Let y be -15*(7/(-3) + 2). Suppose 0*w - 3280 = -y*w. Suppose 2*n - 4*f + 3184 = -3*n, -n - w = 4*f. Round n to the nearest one hundred.
-600
Let j(b) = -148999*b**2 - 1. Let x(r) = -r**3 - 4*r**2 + 5*r - 3. Let s be x(-5). Let t be s/(-2)*8/(-12). Let c be j(t). Round c to the nearest ten thousand.
-150000
Let i = 21.0000048 - 21. Round i to 6 dps.
0.000005
Let y = 85.61 - 87. Round y to one decimal place.
-1.4
Let y = -8.25 + 8. Let v = y - -0.93. Let j = -0.711 + v. Round j to 2 dps.
-0.03
Let j = 1.0207 + 26.9353. Let q = 28 - j. Round q to 2 decimal places.
0.04
Let h = -6 + 6.6. Let g = -0.44 + h. Let x = 0.1 - g. Round x to 2 dps.
-0.06
Suppose 5*w + 4*j = -0*w - 35480, w - 3*j + 7115 = 0. What is w rounded to the nearest one thousand?
-7000
Let i = -17.83 - -18. Let g = 1614479.1700019 - 1614479. Let y = i - g. Round y to 6 dps.
-0.000002
Let y be (6/4)/((-13)/780). What is y rounded to the nearest ten?
-90
Let b be 5*6/10*320/(-6). Round b to the nearest 100.
-200
Let k(x) = 4*x**3 + 11*x**2 - 17*x - 4. Let g be k(-16). What is g rounded to the nearest one thousand?
-13000
Let r = 288 - 188. Round r to the nearest 100.
100
Suppose 0*a + 2*d = -4*a - 2, 2*d = -5*a. Suppose -7*f = -a*f - 265. What is f rounded to the nearest 10?
50
Let w = -1.164 - -0.194. Round w to one decimal place.
-1
Let z = -978 - -1059.4. Round z to the nearest ten.
80
Let l = 8.000202 + -8. What is l rounded to 5 decimal places?
0.0002
Suppose 3*p + s + 1800246 = 0, -5*p + 0*s = -s + 3000410. Let w = -665940 + p. Let k = 833978 - w. Round k to the nearest one million.
2000000
Suppose 2*z + 274 = -206. What is z rounded to the nearest 100?
-200
Let v = -71.708855 + 3.708733. Let x = -56 + -12. Let u = v - x. What is u rounded to 5 dps?
-0.00012
Let z(h) = 203499901 | {
"pile_set_name": "DM Mathematics"
} |
e j.
-1, 5
Let v(u) be the third derivative of 1/180*u**5 - 1/36*u**4 + 0 + 11*u**2 + 0*u + 0*u**3. Determine m so that v(m) = 0.
0, 2
Suppose -8*c = -99 - 45. Let s be (-3)/15*(-30)/c. Solve -s*w**2 + 1/3*w + 2/3 = 0.
-1, 2
Let f(y) be the first derivative of 5*y**3/3 + 60*y**2 + 720*y + 41. Factor f(o).
5*(o + 12)**2
Suppose -3*h = 9*y - 14*y + 25, -20 = 2*h - 4*y. Let b(j) be the second derivative of h + 40*j**2 + 20/3*j**3 - 4*j + 5/12*j**4. Factor b(a).
5*(a + 4)**2
Let m(w) be the first derivative of -w**3/3 - 8*w**2 + 472. Determine r, given that m(r) = 0.
-16, 0
Let m(k) be the third derivative of 1/160*k**6 - 3/8*k**3 + 31*k**2 - 1/16*k**5 + 0*k + 0 + 7/32*k**4. Find s such that m(s) = 0.
1, 3
Suppose -6 = -8*l + 34. Let c(w) be the third derivative of 0 + 0*w - 1/9*w**3 + w**2 + 1/180*w**l + 1/72*w**4. What is j in c(j) = 0?
-2, 1
Let h = 278137/15171 + -2/15171. Factor -h*a + 5/3*a**2 + 50/3.
5*(a - 10)*(a - 1)/3
Let z(c) be the second derivative of -c**7/84 + c**6/60 + c**5/40 - c**4/24 + c - 31. Factor z(j).
-j**2*(j - 1)**2*(j + 1)/2
Let q(h) = h**2 + 4*h - 2. Let v be -3 + 2 + -1 - 3. Let p be q(v). Find k such that 5/3*k**5 + 50/3*k**4 + 0 + 45*k + 60*k**p + 90*k**2 = 0.
-3, -1, 0
Let s(y) be the third derivative of -y**6/480 + y**5/40 - 11*y**4/96 + y**3/4 - 178*y**2. Factor s(i).
-(i - 3)*(i - 2)*(i - 1)/4
Let w be -127*(-2 + 1) + (-21)/(-7). Let u = -908/7 + w. Factor 2/7 - u*n**4 + 4/7*n - 4/7*n**3 + 0*n**2.
-2*(n - 1)*(n + 1)**3/7
Let -86*t**4 - 17*t**2 - 3172*t**5 + 3190*t**5 - 23*t**2 + 124*t**3 - 16*t = 0. Calculate t.
-2/9, 0, 1, 2
Let w(b) be the third derivative of -5/336*b**8 + 12*b**2 + 1/6*b**5 + 0 + 0*b**6 + 5/24*b**4 - 1/21*b**7 + 0*b**3 + 0*b. Suppose w(m) = 0. Calculate m.
-1, 0, 1
Let v(b) be the third derivative of 0 + 1/3*b**6 + 0*b + 35*b**2 + 10*b**3 + 55/6*b**4 + 35/12*b**5. Factor v(a).
5*(a + 2)**2*(8*a + 3)
Let -6*s**3 - 20*s**4 - 2*s - 72*s**2 + 6*s**5 - 25*s**3 + 13*s**3 + 12 - 66*s**3 = 0. What is s?
-1, 1/3, 6
Suppose 5*k + 3*k + 4*k = 0. Let d(o) be the second derivative of 0*o**5 + 0 - o + k*o**2 + 0*o**3 - 1/60*o**4 + 1/150*o**6. Let d(f) = 0. What is f?
-1, 0, 1
Let q(a) be the third derivative of -1/12*a**4 + 0*a**3 - 16*a**2 + 0 - 1/60*a**5 + 0*a. Factor q(v).
-v*(v + 2)
Suppose 15 - 6 = 3*l. Let y be (-30)/12 + l + (-3)/(-2). Factor 2/3 + 2*p**y - 2*p - 2/3*p**3.
-2*(p - 1)**3/3
Suppose 5 - 14 = r. Let i(h) = h**3 + 8*h**2 - 7*h + 18. Let g be i(r). Factor -6/5*k**4 + 4/5*k**2 + g + 2/5*k**3 + 0*k.
-2*k**2*(k - 1)*(3*k + 2)/5
Let w(t) be the second derivative of t**5/120 - t**4/24 + t**3/12 - 19*t**2/2 + 21*t. Let b(k) be the first derivative of w(k). Suppose b(o) = 0. What is o?
1
Let s(d) be the first derivative of -2*d**3/15 - 6*d**2/5 - 16*d/5 - 62. Suppose s(k) = 0. What is k?
-4, -2
Let i = 1/5408 - -10807/48672. Let u = 86 - 772/9. Determine t, given that 4/9*t - i - u*t**2 = 0.
1
Let k(r) be the first derivative of 4/5*r**5 + 4*r - 2/3*r**6 + 7 - 2*r**2 - 8/3*r**3 + 2*r**4. Factor k(x).
-4*(x - 1)**3*(x + 1)**2
Let x(y) = 2*y**2 + 5*y + 6. Let h be x(-4). Let a be (4/(-7))/(h/(-63)). Factor 12*n**a + 6 - 6*n**4 + 5*n**4 + 16*n - n**4.
-2*(n - 3)*(n + 1)**3
Let r(h) = -84*h**2 + 144*h + 40. Let l(m) = -56*m**2 + 96*m + 27. Suppose -w - 3*i = -4*i + 10, 4*w + 5*i - 5 = 0. Let k(p) = w*r(p) + 8*l(p). Factor k(s).
-4*(s - 2)*(7*s + 2)
Let b(t) be the second derivative of t**4/24 + 35*t**3/6 + 1225*t**2/4 - 2*t + 34. What is c in b(c) = 0?
-35
Suppose 6 + 5 + 19*u - 8*u**2 - 2*u**3 - 15*u - 3 - 2*u**3 = 0. Calculate u.
-2, -1, 1
Factor l**2 + 3844 - 44*l - 58*l - 22*l.
(l - 62)**2
Let i(p) be the third derivative of -p**7/1890 - 17*p**6/2160 - p**5/90 + 11*p**4/8 + 24*p**2. Let c(q) be the second derivative of i(q). Solve c(m) = 0.
-4, -1/4
Let u be (-5 - -1)/((-2)/46). Factor 6*d**4 + 92*d + 9*d**5 - u*d.
3*d**4*(3*d + 2)
Suppose 27*u - 164 = -55*u. Solve 2/5*m**5 + 6/5*m**3 + 2/5*m**u + 0*m + 0 + 6/5*m**4 = 0.
-1, 0
Factor 32/7*z**2 + 0 + 2*z + 22/7*z**3 + 4/7*z**4.
2*z*(z + 1)**2*(2*z + 7)/7
Let j(y) = -5*y - 6. Suppose 4*h - 26 = -46. Let l be j(h). Determine g so that -32*g - 4 + l*g**2 - 2 + 22 - 4*g**3 + g**2 = 0.
1, 2
Suppose -5 - 20 = 5*k. Let w(r) = -3 + 5*r + 0 + 7*r + 3*r**2. Let o(l) = 2*l**2 + 11*l - 3. Let y(c) = k*w(c) + 6*o(c). Determine x, given that y(x) = 0.
1
Let o(y) be the second derivative of y**5/20 - y**4/12 + y**3/6 + 3*y**2/2 + y. Let r be o(0). What is w in 3*w - 2*w**2 + 2 + 2*w**3 - 2*w - r*w = 0?
-1, 1
Let b be 1 - (6/(-9))/((-18)/27). Factor 0*m + b + 4/3*m**3 + 4/3*m**4 + 0*m**2.
4*m**3*(m + 1)/3
Let r(w) be the third derivative of -7*w**2 - 1/24*w**6 - 1/12*w**4 + 0*w + 0 + 7/60*w**5 + 0*w**3. Factor r(v).
-v*(v - 1)*(5*v - 2)
Let g(u) = -120*u**3 - 55*u**2 + 45*u + 65. Let o(a) = 11*a**3 + 5*a**2 - 4*a - 6. Let d(y) = -6*g(y) - 65*o(y). Solve d(q) = 0 for q.
-2, 0, 1
Let i(x) be the second derivative of x**8/840 + x**7/420 - x**6/180 - x**5/60 + x**3/3 - 15*x. Let d(b) be the second derivative of i(b). Factor d(g).
2*g*(g - 1)*(g + 1)**2
Let f be -2*(-9 - (-71)/8). Let b(d) be the third derivative of 0 - 7*d**2 + 0*d**3 + f*d**4 + 0*d + 1/20*d**5. Factor b(k).
3*k*(k + 2)
Find v such that 0 + 0*v + 23/2*v**3 - 12*v**2 + 1/2*v**4 = 0.
-24, 0, 1
Let r(i) be the third derivative of -i**6/1620 + i**5/540 - 5*i**3/3 + 10*i**2. Let w(j) be the first derivative of r(j). Suppose w(v) = 0. What is v?
0, 1
Factor -87*k**2 + 30*k**3 + 19*k**2 - 2326 + 2*k**4 + 2326.
2*k**2*(k - 2)*(k + 17)
Factor -328 + 2*v**2 + 19*v**2 + 454 - 447*v.
3*(v - 21)*(7*v - 2)
Let z be 6/(-8)*(-16)/(-32)*16/(-3). Factor 5/6*b + 5/6 - 5/3*b**z.
-5*(b - 1)*(2*b + 1)/6
Let i(s) be the third derivative of 0 + 1/20*s**4 + 1/200*s**6 + 0*s + 27*s**2 + 3/100*s**5 + 0*s**3. Factor i(a).
3*a*(a + 1)*(a + 2)/5
Let k = 553 - 551. Let r(h) be the first derivative of 1/2*h**4 + 0*h**2 + 4/3*h**3 - 24/5*h**5 + k + 0*h + 3*h**6. Solve r(c) = 0 for c.
-1/3, 0, 2/3, 1
Let f = 19070 + -19070. Factor 0 + 9/4*s**2 + 3/2*s + f*s**3 - 3/4*s**4.
-3*s*(s - 2)*(s + 1)**2/4
Suppose -5*f = -u - 15, 3*u - 4 + 13 = 3*f. Let 5/4*l**2 + 3/4*l - 3/4*l**f - l**4 - 1/4 = 0. What is l?
-1, 1/4, 1
Suppose -71*g = -113*g. Let -2/7*s**2 + 0*s - 2/7*s**3 + g = 0. What is s?
-1, 0
Let z(u) be the first derivative of -u**3/3 - u**2/2 + 2*u + 112. Factor z(a).
-(a - 1)*(a + 2)
Let q(d) be the second derivative of 8*d + 0 + 8/3*d**3 + 1/6*d**4 + 16*d**2. Solve q(m) = 0.
-4
Let v(y) = -y**3 - 65*y**2 + 201*y - 201. Let j be v(-68). Factor 4/3*q**j - 4/3 - 4/3*q + q**2 + 1/3*q**4.
(q - 1)*(q + 1)*(q + 2)**2/3
Suppose 0 = -3*u + 5*h - 4, -19 + 21 = 2*u - h. Factor -4 - 29/2*x**3 + 9/2*x**4 + 3*x**u + 18*x.
(x - 2)**2*(x + 1)*(9*x - 2)/2
Find w, given that -440*w**4 - 642*w**5 - 2234*w**3 - 221*w**2 - 3072*w - 512 - 3651*w**2 + 266*w**3 + 606*w**5 = 0.
-4, -2, -2/9
Let t(h) be the first derivative of 1/9*h**5 - 7 - 5/18*h**2 - 1/54*h**6 + 1/9*h + 10/27*h**3 - 5/18*h**4. Factor t(v).
-(v - 1)**5/9
Let z = -5 - 29. Let n = -32 - z. Find m such that -32 + 2*m**2 + m**2 + 44 - 17*m + n*m = 0.
1, 4
Let w(v) be the first derivative of 10/3*v**2 + 25/6*v**3 + 22 - 5/2*v + 5/6*v**4. Factor w(p).
5*(p + 1)*(p + 3)*(4*p - 1)/6
Let q(b) be the first derivative of -3/16*b**4 + 0*b**2 + 15 + 0*b - 1/2*b**3. Factor q(l).
-3*l**2*(l + 2)/4
Suppose 4 = 3*l + 28. Let q be (92/(-33))/(l/12) - 4. Solve -q + 2/11*b**2 + 0*b = 0.
-1, 1
Let u(g) be the first derivative of 0*g + 1/2*g**3 - 3/16*g**4 + 1 + 0*g**2. Factor u(s).
-3*s**2*(s - 2)/4
Factor -1/5*c**2 - 2304/5 - 96/5*c.
-(c + 48)**2/5
Let y = 18 + -18. Let r(l) be the third derivative of 0*l + 2*l**2 + 0 - 1/6*l**4 - 3/10*l**5 - 7/60*l**6 + y*l**3. Solve r(q) = 0 for q.
-1, -2/7, 0
Let c(x) be the third derivative of x**7/105 + 2*x**6/15 - 43*x**5/30 + 29*x**4/6 - 8*x**3 - 165*x**2. Factor c(d).
2*(d - 2)*(d - 1)**2*(d + 12)
Let b(q) be the third derivative of -q**7/735 - q**6/140 + q**5/21 + 168*q**2. Determine x so that b(x) = 0.
-5, 0, 2
Let p = -1264 - -1266. Factor 4 + 26/3*o + 10/3*o**p.
2*(o + 2)*(5*o + 3)/3
Determine q so that -180*q + 112*q**2 + 110 + 9*q - 50*q - q**3 = 0.
1, 110
Let v(q) be the second derivative of -q**4/72 + 29*q**3/9 - 115*q**2/12 + 92*q - 1. Factor v(g).
-(g | {
"pile_set_name": "DM Mathematics"
} |
= -k + 1. Suppose -3*h + 2 = -5*w + 20, -3*w = k*h - x. What is the remainder when 3 is divided by w?
0
Suppose 3 = -11*s + 12*s. What is the remainder when (-16)/12 - (4 + 518/(-6)) is divided by s?
0
Let t(i) = i**3 + 14*i**2 - 16*i + 3. Let c = -116 + 13. Let l = 190 + c. What is the remainder when l is divided by t(-15)?
15
Let u be 3/((-3)/(-5))*1. Suppose -68*v + 33 = -307. Calculate the remainder when u/(-5) + 2*12 is divided by v.
3
Let z = -6037 + 6041. What is the remainder when 4837 is divided by z?
1
Let j(z) = z**3 + 41*z**2 + 104*z - 124. Calculate the remainder when 2047 is divided by j(-38).
255
Suppose 0 = -6*m + 80 + 46. Suppose -m*y = -13*y - 568. What is the remainder when y is divided by 36?
35
Suppose 0 = -3*t - 5*c + 972, -5*t - 19*c = -23*c - 1546. Calculate the remainder when t is divided by 9.
8
Suppose -5*o + 174 - 94 = 0. Suppose -r - 2*j = 3*r - 208, -110 = -2*r - 4*j. What is the remainder when r is divided by o?
3
Suppose -30*j - 30*j = -30840. Calculate the remainder when j is divided by 81.
28
Suppose 0 = 30*t + 45*t + 29*t - 4472. Calculate the remainder when 851 is divided by t.
34
Let v be 0/1 - (11 - 67). Calculate the remainder when 347 is divided by (-1)/(((-2)/5)/(v/35)).
3
Suppose -2*f + i + 488 = -i, 0 = -5*f + 3*i + 1230. What is the remainder when f is divided by (0 - (-60)/(-35))/((-3)/63)?
33
Let y be (2 - 15/10) + (-5)/(-2). Let n be ((-1 + 607)/y)/(-2). Let b = n - -178. Calculate the remainder when b is divided by 27.
23
Let o = 5594 - 5149. What is the remainder when o is divided by 207?
31
Let a(h) = h**3 - 3*h**2 + 15*h - 118. What is the remainder when 17 is divided by a(5)?
3
Let u = 42 - 29. Let s = -11 + u. Calculate the remainder when 87 is divided by (3*s)/((-12)/(-30)).
12
Suppose 95*g = 98*g + 15, -11 = -q - 3*g. Suppose -2*a - 2*v = 2*v + 2, 5*a = 5*v + 10. Let h = a + 6. Calculate the remainder when q is divided by h.
5
Let p(r) = -82*r + 5. Suppose 6*o - 630 = -120. Let t = 119 - o. Calculate the remainder when p(-2) is divided by t.
33
Suppose 0 = 2*z - 18 + 6. Let w = -71 - -79. Let n(q) = 5*q + 6. Calculate the remainder when n(w) is divided by z.
4
Suppose -3*a = 5*z + a - 19, 2*z + 3*a = 9. Suppose -z*l - 5*i - 53 = -5*l, i = -2*l + 23. What is the remainder when 37 is divided by l?
9
Let v be (-18)/(-5)*(-110)/(-4). Let d = -91 + v. Suppose -w + 234 = d*w. Calculate the remainder when 76 is divided by w.
24
Let p(z) = 13*z - 65. Suppose 3*v = 0, -2 - 33 = -5*x + 2*v. What is the remainder when p(x) is divided by 10?
6
Suppose -17*f - 2*t - 12132 = -24*f, -t = -f + 1736. What is the remainder when f is divided by 577?
1
Let z(p) = 52*p - 725. What is the remainder when z(21) is divided by 46?
45
Suppose 2*m - 4*m = -8. Suppose m*k - 3*k = 13. Suppose 0 = -2*b + 13 + k. What is the remainder when 51 is divided by b?
12
Suppose 25 = -m + 9. Let p = -11 - m. Suppose 4*x = p*x - 23. What is the remainder when 113 is divided by x?
21
Suppose -158*o + 92 + 448 = 22*o. What is the remainder when 2210 is divided by o?
2
Let b = 128 + -52. Let i = 79 - b. Suppose 0 = -0*z + 4*z + q - 530, -i*z + 2*q + 403 = 0. Calculate the remainder when z is divided by 27.
25
Let i be 2/(-2 - 0/3). Suppose 5*o = -3*k + 160, o - 32 = -4*k + 3*k. Calculate the remainder when o is divided by i - (2 + 0)*-4.
4
Let z(c) = -17*c + 156. What is the remainder when 2878 is divided by z(8)?
18
Suppose -1349 - 3355 = -13*z - 15*z. What is the remainder when 4193 is divided by z?
161
Let p(q) = 10*q**2 - 2*q + 8. Suppose -9335*y + 162 = -9333*y. Calculate the remainder when p(4) is divided by y.
79
Let n(c) = -4*c + 58. Let h = 49 - 68. What is the remainder when n(h) is divided by 48?
38
Let l(n) = 15*n**2 + n. Suppose -4*v + 0 + 4 = 0. Suppose -5*i = 5, 4*i - 9 = -3*a + 59. What is the remainder when a is divided by l(v)?
8
Suppose -19*g - 75*g + 27166 = 0. Let b = g - 248. Suppose 78 = 2*p + 5*c - 99, -5*c = -2*p + 147. What is the remainder when p is divided by b?
40
Let j = -24 + 33. Let n(b) = -4*b + 10. Calculate the remainder when n(-7) is divided by -12*2/((j/3)/(-1)).
6
Let y(b) = 10*b + b**2 + 16 - 6*b**2 + 6*b**2. Let v be y(-9). Suppose -v*f - 297 = -8*f. What is the remainder when f is divided by 30?
27
What is the remainder when 311 is divided by ((-13984)/(-24))/23 - (-24)/9?
3
Calculate the remainder when 1*(-6)/(9/(-9)) - -181 is divided by 41.
23
Let o = 2 - -9. Suppose -6*l - 20 = -5*s - o*l, -2 = -2*s + l. Suppose -2*f - s*f + 76 = 0. Calculate the remainder when f is divided by 4.
3
Let d be 45/12 - 10/(-8). Calculate the remainder when 424 is divided by 1*35/d + 18.
24
Let u(p) = p**3 + 20*p**2 + 13*p - 83. Let v = -95 + 135. What is the remainder when v is divided by u(-19)?
9
Suppose -4*t - m + 18 = -8, -4 = 2*m. What is the remainder when 362 is divided by t?
5
Let r(b) = -61*b + 202. Calculate the remainder when 321 is divided by r(3).
17
Suppose -3*o = -d - 0*d - 10, 0 = 2*o - 2*d - 4. Suppose 0*w - o*w = -3*w. Suppose w*f = -5*f + 35. What is the remainder when 18 is divided by f?
4
Suppose 370 = -9*n + 19*n. Suppose 2*g - 47 = -g - x, 0 = g - 5*x - n. Calculate the remainder when 17 is divided by g.
0
Let y = -20 - -30. Suppose -6*a + 10 = -a, 4*a + 12 = 4*m. Suppose -5*r + 43 = -4*r - 2*z, 0 = m*r + 3*z - 176. What is the remainder when r is divided by y?
7
Let m = 2071 - 2059. Calculate the remainder when 226 is divided by m.
10
Suppose 137 = 7*c + 46. Suppose 4*y + 2*g = 74, 16*y - c*y - 5*g = 75. Calculate the remainder when 56 is divided by y.
16
Let x(g) = g**3 - 2*g**2 + 18*g - 32. Calculate the remainder when x(5) is divided by 26.
3
Suppose -173 - 75 = -2*w. Let t = 137 - w. Suppose -x - t = -27. What is the remainder when x is divided by 6?
2
Let t be 63/105*(-20)/(-6). Suppose -q + 10 = -t*i, -q + 6*q - 4*i - 56 = 0. Calculate the remainder when 93 is divided by q.
9
Let n = -28072 - -28370. Calculate the remainder when 52743 is divided by n.
295
Suppose 3*x - 3803 = -4*r, -5*x - 5*r = -3476 - 2864. What is the remainder when x is divided by 8?
5
Suppose -5*g - 95 - 60 = 0. Let v(q) = 3*q**2 - 3*q - 1. Let b be v(4). Let h = g + b. Calculate the remainder when 15 is divided by h.
3
Let h = -211 - -207. Let i = 9 + h. What is the remainder when i is divided by 3?
2
Let p(i) = -11*i + 1. Let s be (-4 - (-22)/2)/1*-2. Calculate the remainder when (-6 - 88)*(s/4 - -3) is divided by p(-1).
11
Suppose 21*t - 10633 = 25109. What is the remainder when t is divided by 87?
49
Let j = -11815 - -12070. Calculate the remainder when j is divided by 86.
83
Suppose 0 = -5*i + 1002*w - 1006*w + 995, -2*w = 3*i - 597. Calculate the remainder when 398 is divided by i.
0
Suppose -1033 = -11*x + 1134. Suppose x = 4*r + 65. What is the remainder when r is divided by 20?
13
Let y(m) = 12*m**2 - 367*m + 216. What is the remainder when ((-1)/(2/44))/(-1) is divided by y(30)?
4
Let x(d) = d**2 - 2*d - 2. Let z(c) = c**2 + 15*c + 18. Let v be z(-14). What is the remainder when 196*1*2/v is divided by x(-5)?
32
What is the remainder when 235 is divided by ((-6)/(-4))/((-2)/(-8) - (-266)/(-1292))?
31
Let m = 165 - 164. Calculate the remainder when ((-153)/27)/(m/(-24)) is divided by 28.
24
Let r = 1026 + -911. What is the remainder when r is divided by 68?
47
Calculate the remainder when 2684 is divided by (-1876)/21*-30 - (7/1)/7.
5
Suppose -114*d = -110*d + 24. What is the remainder when 174 is divided by 3 + d - -3 - -44?
42
Let n = -13 - -30. Calculate the remainder when ((-3 - -161)*1)/2 is divided by n.
11
Suppose -4*x + x + 3*v + 12 = 0, -5*x - v + 14 = 0. Suppose x*f - y = 32, -5*f + 12 = -3*f - 3*y. Calculate the remainder when 25 is divided by f.
1
Let n(y) = -y**3 - 2*y**2 - y - 1. Suppose -8*i + 36 = i. Suppose i*c + 81 = 6*c - q, 25 = -5*q. What is the remainder when n(-6) is divided by c?
35
Let i = 8074 - 6594. Calculate the remainder when i is divided by 27.
22
Let y(k) = -16*k - 1 - 23*k**2 - 10 + 15*k**2 + k**3 - 11. Let j(q) = -q**3 - 7*q**2 - 2*q - 9. What is the remainder when j(-8) is divided by y(10)?
17
Let x = 5634 - 5538. Calculate the remainder when x is divided by 37.
22
Suppose 287 = -8*v + 49*v. Suppose -v*c = -101 - 235. What is the remainder when c is divided by 2 | {
"pile_set_name": "DM Mathematics"
} |
Let o = 24 + 2. What is the tens digit of o?
2
Suppose 615 - 47 = 2*p. Suppose 0 = 5*v - s - s - p, 0 = 4*v + 3*s - 241. Suppose -v + 6 = -4*h. What is the tens digit of h?
1
Suppose 0 = -b + k + 69, -59 = 4*b - 2*k - 325. What is the tens digit of b?
6
Let w(s) = -s - 8. Let r(z) = -z - 14. Let m be r(0). What is the units digit of w(m)?
6
Let u = 11 + -11. Suppose 2*c + u*c - 30 = 0. What is the units digit of c?
5
Suppose 4*j - 809 = c, -4*j + 0*j + 4*c + 824 = 0. What is the hundreds digit of j?
2
Let u(a) = -a**3 - 4*a**2 + 2*a - 2. Let p be u(-5). Suppose -2*l + 50 = 4*k, k + 2*l - l = p. What is the tens digit of k?
1
Let z = 27 + -9. What is the units digit of z?
8
Let f(m) = -4*m + 8. What is the tens digit of f(-12)?
5
Suppose 0 = -14*l + 7*l + 518. What is the tens digit of l?
7
Suppose 14 + 100 = 2*h. What is the tens digit of h?
5
Suppose -11*f = -163 - 805. What is the units digit of f?
8
Let y be ((-3)/(-3) + -1)/2. Suppose -4*t - 50 = -3*i - y*i, 0 = 2*i - 4. Let r = -8 - t. What is the units digit of r?
3
Let c(i) = -i + 31. What is the units digit of c(0)?
1
Let a = 37 + 31. What is the units digit of a?
8
Let i = -9 + 17. Suppose -20*r + 19*r = -i. What is the units digit of r?
8
Let n = -189 + 378. What is the units digit of n?
9
Let i = 133 + -44. What is the tens digit of i?
8
Suppose v = 3 - 1. Suppose -v*w - 6*b + 16 = -3*b, 5*b + 10 = 4*w. Suppose -2*q + 1 = -w. What is the units digit of q?
3
Suppose 0*a + 3*a = 57. What is the tens digit of a?
1
Let x(h) = -h**3 - 5*h**2 - 3*h. Let q be x(-4). Let c(s) = -s**2 - 5*s - 4. Let n be c(q). Suppose n = -y + 7 + 1. What is the units digit of y?
8
Suppose 4*t - 3*n + 37 = 6*t, -t = n - 19. What is the units digit of t?
0
Suppose -180 = -2*s - 2*f - f, 5*f - 90 = -s. Let z = s - 53. What is the tens digit of z?
3
Let v be (-1 + 0/3)*-2. Suppose 0 = -v*i - c + 3, 2*i - 22 = -i + 2*c. What is the units digit of i?
4
Let a = 3 - 4. Let l be (a - 7)*(3 - 4). Let s(k) = -k**2 + 10*k - 10. What is the units digit of s(l)?
6
Suppose 0 = j - 6*n + 5*n - 220, 0 = -3*j - 5*n + 700. What is the tens digit of j?
2
Suppose 2*p + 42 = y + 6*p, -5*y + 285 = 5*p. What is the tens digit of y?
6
Suppose 3*z + z - 688 = k, -4*z - k + 688 = 0. What is the tens digit of z?
7
What is the units digit of ((-24)/10)/((-20)/750)?
0
Suppose 0 = 2*z + 3*z - 5. Suppose d - z = -12. Let i = d - -23. What is the tens digit of i?
1
Suppose 4 = -h + 3*h. Suppose 0 = s - h - 8. What is the units digit of s?
0
Suppose -2*w - 3*w - 25 = 0, i = -5*w - 20. Suppose 0 = -v - 4, i*t - 11 - 2 = -3*v. What is the units digit of t?
5
Let c(z) = z - 7. Let w be (-2)/(-6) + 14/3. Let g be c(w). What is the units digit of (3/2)/((-3)/g)?
1
What is the units digit of 513/12 - (-2)/8?
3
Let p = -2 - 0. What is the units digit of (p/6)/(2/(-66))?
1
Suppose 2*j - 22 = -5*o, -1 = -5*j + 3*o - 2*o. Let l be 2*(-51)/(-6)*j. Let t = -10 + l. What is the units digit of t?
7
Let w(m) = -m**2 + m + 6. Suppose 5*v + 2*h = v + 32, 0 = -v - h + 6. Suppose -15 = -3*d, -4*z - 2*d + v = -0*d. What is the units digit of w(z)?
6
What is the units digit of 3 + -3 + 0 + 31?
1
Suppose 0 = -5*c + 10*c - 885. What is the units digit of c?
7
What is the units digit of 2 + (-4 - 0) + 23?
1
Suppose 0*c + 32 = 4*c. What is the units digit of c?
8
Let a = 54 + -30. What is the units digit of a?
4
Let r(s) = s**2 - s - 2. Let v be r(-2). Suppose 0 = v*b - 9 + 1. Suppose -2*d - 41 = -5*j + b*d, 4*d = -16. What is the units digit of j?
5
Let p(o) = 6*o**2 + 5*o - 1. Let j be 2/(-5) - 18/5. Let z be p(j). What is the units digit of z/7 - (-2)/7?
1
Let r be (1 + 3)*(-10)/8. Let m = r - -12. What is the units digit of m?
7
Let o be 4/10 - (-46)/10. Let k = -1 + o. What is the units digit of k/10 - (-99)/15?
7
Let i(d) = 2*d - 5. Let v be i(5). Suppose -3*y - 40 = -4*h, -2 = -3*h - v*y - 1. Let c = -4 + h. What is the units digit of c?
3
What is the tens digit of 3580/90 - 2/(-9)?
4
Suppose d = 5*s - 32, 3*d - 10 = -3*s - d. Let x = 0 + s. What is the units digit of x?
6
Let h = -18 + 25. Suppose -4*n - 2*v + 136 = 0, -4*n = -h*n - 3*v + 108. What is the tens digit of n?
3
Let g(k) be the first derivative of 2*k**3/3 + 2*k**2 - k - 1. Let s be g(-4). Suppose 0 = 5*y - 2*u - s, 3*y = -u - 3 + 1. What is the units digit of y?
1
Let i(m) = 7*m**2 + 17*m + 12. Let g(f) = 10*f**2 + 20 + f**2 - 2 + 26*f. Let a(n) = -5*g(n) + 8*i(n). What is the tens digit of a(-7)?
1
What is the tens digit of -4*4/(-16) + 63?
6
Let m(t) = -t**3 - t**2 + 9. What is the units digit of m(0)?
9
Suppose -4*r - 30 = -114. Let a = 35 - r. What is the tens digit of a?
1
What is the units digit of (-74)/(-2) + -1 + 8 + -4?
0
Let y = -9 - -11. Suppose -2*r + 72 = y*r. What is the tens digit of r?
1
What is the tens digit of (7*60/(-18))/(1/(-3))?
7
Let l be (1 + 13)*(-3)/(-6). Let u(q) = 0*q + q**2 - l*q + 16 - 7. What is the units digit of u(7)?
9
Suppose j + 3*f = -j + 4, -f - 2 = 0. Let z = 7 - j. What is the tens digit of (-25)/z*(-8)/10?
1
Suppose -5*a = h - 191, 5*h = h - a + 802. What is the tens digit of h?
0
Let m(v) = -3*v. Let o be m(-1). Suppose 4*u - 72 = -3*b, -5*u = -o*b + 6*b - 72. What is the units digit of b?
4
Let o = 22 + 7. What is the tens digit of o?
2
Let f be (-2)/15 + 326/(-30). Let k(j) = -21*j**3 - j**2 + 1. Let n be k(-1). Let a = f + n. What is the units digit of a?
0
Suppose -v - 178 = -5*r, 3*r - 42 = -2*v + 57. What is the units digit of r?
5
Suppose 5*p + 25 = 2*y, y - 4*p + 34 = 3*y. Let r = y + -14. What is the units digit of r?
1
Suppose 6*f = b + 3*f + 16, 0 = 2*b - 2*f + 32. Let n = b - -35. What is the tens digit of n?
1
Suppose 0 = 12*g - 7*g - 500. What is the units digit of g?
0
Let i be 1 - -5 - (-9)/(-3). Let c = 11 - i. What is the units digit of c?
8
Let a = -2 + -32. Let p = -23 - a. What is the tens digit of p?
1
Suppose 3*s + 2*f - 34 = 0, f + 23 = 3*s - 14. Let o = s + -5. Let a = o + -5. What is the units digit of a?
2
Let z = 11 + -12. What is the units digit of (-8)/(-5)*(-15)/z?
4
Let j be (-4*1 - -2) + 0. Let v be -1 + (j - (0 + -3)). Suppose -2*y + 24 = -v*y. What is the units digit of y?
2
Let c be 5/(3 - (-26)/(-9)). Suppose 0 = m - 6*m + c. What is the units digit of m?
9
Suppose 4*v - 830 = 5*y, 0*v + 2*y = 4*v - 824. What is the units digit of v?
5
Let j(h) = h**2 - 6*h + 1. Let b be -2 - -2 - 18/(-1). Let s = -11 + b. What is the units digit of j(s)?
8
Suppose -5 = -4*u - 1. Let c(r) = 3*r - 1. What is the units digit of c(u)?
2
Let z = -126 + 186. What is the units digit of z?
0
Suppose -2*v + 0*v - 50 = 0. Let f = v + 48. What is the units digit of f?
3
Suppose -13 = -5*d + 12, 2*w + 5*d - 55 = 0. Suppose -4*u = -3*x - 25, -w = -2*x + 7*x. Suppose 0 = u*y + 7 - 11. What is the units digit of y?
1
Let w(f) = -2*f - 3. Suppose 0 = 2*d + d. Let g be 0 - (-5)/(-1 + d). What is the units digit of w(g)?
7
Let w be -5 - ((-1 - 2) + 2). What is the units digit of ((-2)/w)/((-6)/(-12))?
1
Suppose 4*l - 5*i - 5 - 9 = 0, -2*l + 10 = -i. Let u(g) = -g**3 - 6*g**2 + 6*g + 1. Let x be u(-7). Let a = x + l. What is the tens digit of a?
1
What is the units digit of (-1)/(76/(-72) + 1)?
8
Let i(r) = 1 + 7*r + 10 - 8*r. Let g = 13 - 4. What is the units digit of i(g)?
2
Let t(k) = -k + 1. Let u be t(1). Let b(a) = -a**3 + a + 11. What is the units digit of b(u)?
1
Suppose 0 = -t + 10*t - 18. What is the units digit of t?
2
Let f(o) = o**3 + 6*o**2 - 8*o + 7. What is the tens digit of f(-7)?
1
Let a(b) = -b**2 - 2*b + 1. Let c be a(-3). What is the tens digit of 10 - c/(-6)*0?
1
Let v = -13 + 29. Let d = v + -13. What is the units digit of d?
3
Suppose 0 = 14*d - 13*d - 22. What is the units digit of d?
2
Suppose 0 = -r + 4*r - 51. What is the tens digit of r?
1
What is the tens digit of 0 + 2/(-7) + (-3055)/(-35)?
8
Suppose 6 = 2*p - 2. Suppose -p*k + 13 = 1. Suppose u = -3*u + 3*n + 46, 0 = -k*u - 2*n + 26. What is the units digit of u?
0
Let n(q) = -2*q + 4. Let g be n(-6). What is the units digit of (-1)/2 + 56/g?
3
Suppose 378 = 8*l - 6*l. What is the hundreds digit of l?
1
Suppose -d = -2*d. Suppose d*x = -2*x + 72. What is the units digit of x?
6
Suppose l = 3*l - 10. Suppose l*f - 5*c - 8 = -3, 0 = -4*c + 16. Suppose w = -v + 18, | {
"pile_set_name": "DM Mathematics"
} |
2*u - 119*u - 450 = 54*u for u.
-2
Solve -4*w + 815 = -107*w + 2257 for w.
14
Solve 773*q - 872*q = 0 for q.
0
Solve 0 = -121611*w + 121553*w for w.
0
Solve -618*d = -1095 + 11601 for d.
-17
Solve 632 = -4*x - 6*x + 552 for x.
-8
Solve 0 = -278*w - 1378 + 266 for w.
-4
Solve 294 = 158*w - 200*w for w.
-7
Solve 126 + 90 = -72*x for x.
-3
Solve -22 + 874 = -142*d for d.
-6
Solve 0 = -591974*p + 591965*p - 108 for p.
-12
Solve 333*m + 1007 + 1142 = 26*m for m.
-7
Solve -15*a - 26*a - 41 = 0 for a.
-1
Solve -91*h - 1368 = -167*h for h.
18
Solve -79*j - 400*j - 479 = -7664 for j.
15
Solve -2308*u + 2830*u - 11484 = 0 for u.
22
Solve 0 = -757*l + 735*l - 286 for l.
-13
Solve -56*f - 40 - 165 = 187 for f.
-7
Solve -10*s - 4218 = 164*s + 48*s for s.
-19
Solve 14*g + 20 = -73 + 9 for g.
-6
Solve 13710 = -844*y - 9078 for y.
-27
Solve 268*r - 261*r = 28 for r.
4
Solve 33 + 7 = -9*c + 4*c for c.
-8
Solve 20164*y - 19652*y = -2560 for y.
-5
Solve 6*q + 3*q = 165 - 201 for q.
-4
Solve 101*n + 43*n + 138*n + 5358 = 0 for n.
-19
Solve 274 = 5*u + 15*u + 34 for u.
12
Solve -8685*d = -8645*d - 80 for d.
2
Solve -237*u + 35*u + 35*u + 4676 = 0 for u.
28
Solve 0 = 8*p - 73 - 47 for p.
15
Solve s + 431 = -83*s - 241 for s.
-8
Solve -19*f = 44 + 51 for f.
-5
Solve -88*m + 205*m = 1638 for m.
14
Solve 11802*u = 11815*u - 130 for u.
10
Solve -145*h + 80*h + 325 = 0 for h.
5
Solve 178*t + 187*t - 860 = -7430 for t.
-18
Solve 0 = 26*g - 169*g - 1001 for g.
-7
Solve 0*t - 38 = 5*t - 43 for t.
1
Solve 259*l = 236*l - 161 for l.
-7
Solve 28*f + 56 = 308 for f.
9
Solve 336 = -26*v + 5*v for v.
-16
Solve -53 = -136*n - 325 for n.
-2
Solve -1467 + 409 = -224*p + 958 for p.
9
Solve 0*v + 15*v - 34 = -2*v for v.
2
Solve 35*n = -5*n + 16*n for n.
0
Solve -29*i - 251*i = -5040 for i.
18
Solve 0 = 69*l + 125 - 56 for l.
-1
Solve 67*a + 36*a = 515 for a.
5
Solve 2651 = -27*y + 3164 for y.
19
Solve -5164*z + 5462*z = 9834 for z.
33
Solve 0 = 271*m - 263*m + 16 for m.
-2
Solve 152 - 50 = -51*p for p.
-2
Solve 600 = 11*u + 413 for u.
17
Solve q + 11 + 10 - 23 = 0 for q.
2
Solve 0 = 81*f - 622 - 512 for f.
14
Solve 0 = -2*r + 6*r - 425 + 373 for r.
13
Solve -47*w = 46*w + 93 for w.
-1
Solve 1969 = 3527*z - 3706*z for z.
-11
Solve 9*z = 146*z for z.
0
Solve -21*o - 46*o = 16*o - 1909 for o.
23
Solve -863*h = -833*h - 70 + 460 for h.
-13
Solve -4560 = 301*b + 858 for b.
-18
Solve -41*j = 223*j + 4199 + 2137 for j.
-24
Solve -20*z - 75 = -2*z - 3*z for z.
-5
Solve -13*c - 7668 + 2740 = -167*c for c.
32
Solve 5529 = 6*g + 5439 for g.
15
Solve -17*l + 42 = 2*l + 346 for l.
-16
Solve -1469*u + 1439*u = -420 for u.
14
Solve 2788*x - 2810*x - 572 = 0 for x.
-26
Solve 0 = -260*o + 242*o - 252 for o.
-14
Solve -64*q - 1206 = -1526 for q.
5
Solve -400*p + 640 = -480*p for p.
-8
Solve -360*n = -9*n + 2106 for n.
-6
Solve 0 = -24*z + 2*z + 203 + 61 for z.
12
Solve 57 = -211*l - 938 - 482 for l.
-7
Solve 211 + 16 = 43*z - 31 for z.
6
Solve 42*s - 1343 + 41 = 0 for s.
31
Solve 0 = -96*h - 108 + 87 - 171 for h.
-2
Solve -48*c + 291*c = -1701 for c.
-7
Solve 2422*h = 2437*h - 150 for h.
10
Solve 13*a + 96 = 252 for a.
12
Solve 20*w = -113*w + 40*w for w.
0
Solve 0 = 145591*g - 145688*g + 2231 for g.
23
Solve -182*m + 1741 - 285 = 0 for m.
8
Solve 1152 = 23*n + 1106 for n.
2
Solve -4129*n = -3898*n + 6237 for n.
-27
Solve -451*q + 2754 = -4393 + 382 for q.
15
Solve 392*v = 157*v + 183*v + 1248 for v.
24
Solve -66*u - 426 - 564 = 0 for u.
-15
Solve 38*k - 159 = 59*k + 177 for k.
-16
Solve -6*w - 444 = 6*w - 540 for w.
8
Solve 36*h - 57*h + 36 = -17*h for h.
9
Solve -205*t + 750 = 3005 for t.
-11
Solve -412*g - 639*g + 336*g + 17160 = 0 for g.
24
Solve 671 = 5*l + 1519 - 753 for l.
-19
Solve 0 = -6*c - 4*c - 12*c - 242 for c.
-11
Solve 3*n - 15*n - 463 = -283 for n.
-15
Solve 31*p + 20*p = 61*p + 120 for p.
-12
Solve 0 + 3 = 7*m + 17 for m.
-2
Solve -2 = -19*o + 245 for o.
13
Solve -60*y - 1464 = 315*y + 1161 for y.
-7
Solve 4414*z + 128 = 4430*z for z.
8
Solve -12*x - 25*x - 56*x = -651 for x.
7
Solve 21*u = -995*u + 16358 + 8026 for u.
24
Solve -150*b = -25*b + 48*b - 1903 for b.
11
Solve -27*u = 380 - 110 for u.
-10
Solve -63*a - 72*a - 3140 = 22*a for a.
-20
Solve 984*y - 25 = 979*y for y.
5
Solve -1166 + 246 = -53*n - 72 for n.
16
Solve -12 = 9*j + 12 - 15 for j.
-1
Solve -7247*m = -7351*m + 2808 for m.
27
Solve 0 = 21*m + 38*m - 117 - 532 for m.
11
Solve 0 = 11*r - 70 - 17 - 78 for r.
15
Solve 86 = -45*i + 231 + 215 for i.
8
Solve 121*a - 76 = 396 + 375 for a.
7
Solve -593 = -85*h - 2123 for h.
-18
Solve 110*d = 87*d + 161 for d.
7
Solve 65*x - 5459 = -4744 for x.
11
Solve 23*h - 1142 + 1372 = 0 for h.
-10
Solve h = -857 + 850 for h.
-7
Solve 76597 - 77332 = -21*y for y.
35
Solve -23*h + 64 = 87 for h.
-1
Solve 0 = 3*z - 59 + 164 - 75 for z.
-10
Solve -8*f + 22*f - 7*f - 63 = 0 for f.
9
Solve 22 = 66*j - 290 - 84 for j.
6
Solve 52*v - 18*v + 390 = -44*v for v.
-5
Solve 191*r = -1440 - 1043 for r.
-13
Solve 83391*v - 83467*v = 1292 for v.
-17
Solve 69*n - 203 = -1100 for n.
-13
Solve -224*x + 4101 = -1275 for x.
24
Solve 313*i = 342*i + 377 for i.
-13
Solve 2047*y + 49 = 2054*y for y.
7
Solve -856 = -182*t - 310 for t.
3
Solve 8*w = 40*w + 256 for w.
-8
Solve -15*y + 784 = -y - 126*y for y.
-7
Solve -110*q + 51*q = -58*q + 2 for q.
-2
Solve 0 = 19*c - 10*c + 228 - 39 for c.
-21
Solve -148*i = -139 + 731 for i.
-4
Solve 0 = -16*j + 1204 - 1332 for j.
-8
Solve s + 4 = 5 + 13 for s.
14
Solve -5219 + 10525 = -12*u + 4958 for u.
-29
Solve -336 = 1833*p - 1889*p for p.
6
Solve 26*s + 9*s = -70*s - 315 for s.
-3
Solve 0 = 32*c + 62*c - 1598 for c.
17
Solve 99*z = 231*z + 1320 for z.
-10
Solve -38*b - 1520 + 1634 = 0 for b.
3
Solve 3220*n + 1050 = 3290*n for n.
15
Solve 113*t - 60 = 197*t - 114*t for t.
2
Solve 11*q + 89 = -5*q - 87 for q.
-11
Solve -2*s - 89 = 87*s for s.
-1
Solve 701*g + 131*g + 11900 = -358*g for g.
-10
Solve -160*x - 4*x + 1148 = 0 for x.
7
Solve 646*r = 613*r + 726 for r.
22
Solve -18*j - 19*j = 59*j - 1152 for j.
12
Solve -327*h = 527 - 1064 - 444 for h.
3
Solve 55*x + 106*x = 1449 for x.
9
Solve 1574 - 343 = -309*r - 2786 for r.
-13
Solve 0 = -118*w + 511 + 1259 for w.
15
Solve 3 = 3*w + 2*w + 58 for w.
-11
Solve -z = -62*z + 272 - 28 for z.
4
Solve -3286*b = -3089*b for b.
0
Solve 396*p = -733*p + 25967 for p.
23
Solve 686*w = 665*w + 189 for w.
9
Solve -1296 + 1280 = 16*i for i.
-1
Solve -564*v + 126*v + 961 + 5171 = 0 for v.
14
Solve -45*c - 63*c - 375 - 813 = 0 for c.
-11
Solve 400*n + 3384 + 2616 = 0 for n.
-15
Solve -2*z + 60*z = -30*z - 616 for z.
-7
Solve -245*i + 113*i - 243 = -105*i for i.
-9
Solve -705 - 279 = -123*o for o.
8
Solve 13*l + 2373 = 2581 for l.
16
Solve 252*g = 134*g + 131*g - 26 for g.
2
Solve -56*g = -27597 + 26981 for g.
11
Solve 195*o + 5368 - 727 + 1404 = 0 for o.
-31
Solve 277*p - 481*p = -318*p + 1710 for p.
15
Solve -33*z - 1620 = -105*z - 90*z for z.
10
Solve 2380*y - 1856*y - 8384 = 0 for y.
16
Solve 16724 = -5*a + 16589 for a.
-27
Solve -372 = 33*r - 292 + 415 for r.
-15
Solve 14*w + 58 = -2*w + 10 for w.
-3
Solve 141*p + 124 - 1111 = 0 for p.
7
Solve 4131 = -1011*c - 2946 for c.
-7
Solve 40*m + 35*m - 9 = 76*m for m.
-9
Solve -30*c + 216 = -3*c - 0 for c.
8
Solve -86*h - 44*h = -1170 for h.
9
Solve 217*i - 147*i + 490 = 0 for i.
-7
Solve 11835 + 5600 + 8965 = 880*x for x.
30
Solve 44*g - 276 = 252 for g.
12
Solve -18*n + 984 - 4400 = -262*n for n.
14
Solve -207*o - 324868 = -327766 for o.
14
Solve 0 = -643*l - 143*l + 2444 + 11704 for l.
18
Solve 300 = -36*g - 12*g - 1044 for g.
-28
Solve -37*q - 250 = -113 + 196 for q.
-9
Solve 0 = 716*h - 30*h + 2744 for h.
-4
Solve 81 = 162*p - 135*p for p.
3
Solve 0 = -89*q - 1216 - 119 for q.
-15
Solve -6*w - 22 = -25*w + 17*w for w.
11
Solve -54*c - 47*c - 17*c = 1652 for c.
-14
Solve -15*a - 112 + 1 = 69 for a.
-12
Solve 252 = 5258*y - 5222*y for y.
7
Solve -622*b = -502*b + 960 for b.
-8
Solve -3155*j + 3145*j = 30 for j.
-3
Solve 4*k + 127*k = -5*k - 2720 for k.
-20
Solve -4788 = 4236*y - 4502*y for y.
18
Solve -77*p + 108 = -86*p for p.
-12
Solve -262*s = 513 + 1583 for s.
-8
Solve -319*w = -663*w + 292*w + 832 for w.
16
Solve 0 = -2*n - 16885 + 16919 for n.
17
Solve 323 = 19*u - 15 + 15 for u.
17
S | {
"pile_set_name": "DM Mathematics"
} |
rt(33)/sqrt(3) + sqrt(11))*5*6.
60*sqrt(11)
Simplify (sqrt(64)/(sqrt(8) - -1*sqrt(8)))/(sqrt(256)*3).
sqrt(2)/48
Simplify (4*sqrt(1900)*1 - sqrt(1900) - sqrt(1900) - sqrt(1900))**2.
1900
Simplify -3*5*1*(sqrt(7) + 1).
-15*sqrt(7) - 15
Simplify sqrt(18)/(4*sqrt(6)) + sqrt(48) + -5.
-5 + 17*sqrt(3)/4
Simplify (sqrt(114)*-2*-5)/sqrt(6).
10*sqrt(19)
Simplify ((3 + -1*sqrt(475))*-2)**2.
-120*sqrt(19) + 1936
Simplify 6*(-1*sqrt(91))/sqrt(7).
-6*sqrt(13)
Simplify (3*(sqrt(2448)*2 + 5))**2.
2160*sqrt(17) + 88353
Simplify (sqrt(98) - (sqrt(98) + 0)**2) + 3.
-95 + 7*sqrt(2)
Simplify (sqrt(77)*-2 - sqrt(77))/sqrt(7) - sqrt(11) - -1*sqrt(44).
-2*sqrt(11)
Simplify sqrt(22)/sqrt(2) + -2 + 2 + sqrt(44).
3*sqrt(11)
Simplify (sqrt(136) - -2*sqrt(136)*-3)/(-1*sqrt(32)).
5*sqrt(17)/2
Simplify (-2*sqrt(637)*-1 + sqrt(637) - (-2 + sqrt(637)*-2)**2) + 1.
-2551 - 35*sqrt(13)
Simplify (sqrt(10) - sqrt(40)/(sqrt(16)/sqrt(4)))/((2*sqrt(10))/sqrt(2)).
0
Simplify (sqrt(85)/sqrt(5) + sqrt(17) + -4 + sqrt(17)*-2*-6)**2.
-112*sqrt(17) + 3348
Simplify ((sqrt(160) - sqrt(10) - sqrt(10))/sqrt(5) - (sqrt(2) - (sqrt(2) + 4*(sqrt(8)/sqrt(4) - sqrt(2))) - sqrt(2)))**2.
18
Simplify sqrt(1152)*-3.
-72*sqrt(2)
Simplify ((sqrt(684) + 1)**2 + sqrt(684))*1.
18*sqrt(19) + 685
Simplify (sqrt(5) + (sqrt(5) + 0 + sqrt(5))*1 + sqrt(80) + 1)**2.
14*sqrt(5) + 246
Simplify 4*(sqrt(475) + 0)**2 + sqrt(475).
5*sqrt(19) + 1900
Simplify (sqrt(57) - (sqrt(228)*-2 + sqrt(228)))/(-4*sqrt(9)/sqrt(3) + sqrt(3)).
-sqrt(19)
Simplify (sqrt(99)/(sqrt(36)/sqrt(4) + sqrt(9)))**2 + 2.
19/4
Simplify (3*sqrt(5500))/sqrt(11).
30*sqrt(5)
Simplify 5*sqrt(11)*-1 - (sqrt(11) - -4*sqrt(22)/sqrt(2)).
-10*sqrt(11)
Simplify (-1*(0 + -3*sqrt(2057)))**2.
18513
Simplify sqrt(228)/(sqrt(36)/sqrt(3)) - ((sqrt(209) + (sqrt(209) - 2*sqrt(209)))/sqrt(11) - sqrt(19) - sqrt(19)).
3*sqrt(19)
Simplify (sqrt(121)/(sqrt(44)/sqrt(4)) - sqrt(11))*-6.
0
Simplify (-4 + -6*(sqrt(2) + sqrt(98) + sqrt(98)*-1))**2.
48*sqrt(2) + 88
Simplify 4*(-5 + sqrt(3) + 0 - sqrt(108)*2)**2.
440*sqrt(3) + 1552
Simplify (((sqrt(162)/sqrt(3) - sqrt(54))/sqrt(3) - sqrt(18))/sqrt(6))**2 + 1.
4
Simplify (1 + 1*sqrt(891) + sqrt(110)/(sqrt(120)/(-1*sqrt(12))))**2.
16*sqrt(11) + 705
Simplify (-1 + sqrt(13)*-1 - 6*2*sqrt(13))**2.
26*sqrt(13) + 2198
Simplify -2*sqrt(448) + 5 - ((sqrt(448)*2)**2 + 0).
-1787 - 16*sqrt(7)
Simplify (sqrt(102) - -6*(sqrt(102)*-4 - sqrt(102)))/sqrt(6).
-29*sqrt(17)
Simplify (2*sqrt(77)*1)/(6*sqrt(396)).
sqrt(7)/18
Simplify -6*(sqrt(171)/(sqrt(27)/sqrt(3)) - (-4 + sqrt(931))).
-24 + 36*sqrt(19)
Simplify (sqrt(42)/sqrt(6))**2 + -5 + sqrt(7) - 2*sqrt(112).
-7*sqrt(7) + 2
Simplify 5*(sqrt(539) + 0 + -5)**2.
-350*sqrt(11) + 2820
Simplify (((sqrt(13) + sqrt(13)*3 + -1)**2 - sqrt(13)) + -5)*-1.
-204 + 9*sqrt(13)
Simplify sqrt(2) + (-1*sqrt(2))**2*-3 + (sqrt(14)*2)/sqrt(7).
-6 + 3*sqrt(2)
Simplify -1*(sqrt(720) - (sqrt(720) + 2*sqrt(720))*3 - sqrt(720) - sqrt(720))**2.
-72000
Simplify sqrt(14)/((sqrt(2) - (sqrt(200)*3 + sqrt(200))) + sqrt(2)).
-sqrt(7)/38
Simplify (-1 + sqrt(76))**2 + 4 + 0.
-4*sqrt(19) + 81
Simplify 5 + sqrt(396) + sqrt(88)/sqrt(2).
5 + 8*sqrt(11)
Simplify (4*(sqrt(130) - (sqrt(130) - 1*sqrt(130)) - sqrt(130)))/(sqrt(10) - (sqrt(10) + (sqrt(10) - (sqrt(640) + (-2*sqrt(640) - sqrt(640)) + sqrt(640))))).
0
Simplify 2*-6*-1*sqrt(7).
12*sqrt(7)
Simplify (sqrt(972))**2 + sqrt(108)/sqrt(4).
3*sqrt(3) + 972
Simplify (0 + sqrt(245)*3)**2.
2205
Simplify 4 + sqrt(1573)*-1 + -5.
-11*sqrt(13) - 1
Simplify (sqrt(396) + ((sqrt(396) + -1*sqrt(396) + sqrt(396))*-3 - sqrt(396) - sqrt(396)) + (sqrt(396) + 1 + sqrt(396))*5)**2.
360*sqrt(11) + 14281
Simplify (-3*(-2*(sqrt(1088) - (-3 + sqrt(1088) - sqrt(1088)) - sqrt(1088)) - sqrt(1088)))**2.
864*sqrt(17) + 10116
Simplify (4*-2*sqrt(7) + 1)**2.
-16*sqrt(7) + 449
Simplify -3*(((sqrt(408)*-2)/sqrt(8))/(-2*sqrt(27)))**2.
-17/3
Simplify (sqrt(85)*1)/sqrt(5)*2.
2*sqrt(17)
Simplify sqrt(20) + 3 + 5.
2*sqrt(5) + 8
Simplify -3*sqrt(2)*-3 - (sqrt(120)/sqrt(10))/sqrt(6).
8*sqrt(2)
Simplify sqrt(363) + 2 + (sqrt(108) - (sqrt(108) + -2)).
4 + 11*sqrt(3)
Simplify 6*sqrt(15)/sqrt(5) + sqrt(3) + (sqrt(6)/(sqrt(6)/sqrt(3)))**2.
3 + 7*sqrt(3)
Simplify 3 + sqrt(44) - 5*(sqrt(66)/sqrt(6))**2.
-52 + 2*sqrt(11)
Simplify (-6*-1*sqrt(891))**2.
32076
Simplify 6*(sqrt(343)/(sqrt(28)/sqrt(4)))/(sqrt(21)/sqrt(3)*-6).
-sqrt(7)
Simplify (sqrt(56) + -1*sqrt(896))/(sqrt(16)/(sqrt(6)/sqrt(3))).
-3*sqrt(7)
Simplify -1*sqrt(7) + 1 + -1.
-sqrt(7)
Simplify 4*(sqrt(5) + 1 + 0).
4 + 4*sqrt(5)
Simplify ((sqrt(425)*1)**2 + sqrt(425))*3.
15*sqrt(17) + 1275
Simplify (-2*(5 + -1 + sqrt(405)))**2.
288*sqrt(5) + 1684
Simplify (sqrt(121) - (sqrt(121) - -1*sqrt(121))*-3)/((sqrt(11) - sqrt(22)/sqrt(2) - sqrt(11))*6).
-7*sqrt(11)/6
Simplify ((-2*sqrt(1701))/(6*sqrt(28)/sqrt(4) + sqrt(7)))**2.
972/49
Simplify (-1*2*(sqrt(1584) + 0))**2.
6336
Simplify sqrt(117)*-4*-4.
48*sqrt(13)
Simplify sqrt(88)/((1*sqrt(96) - sqrt(96) - sqrt(96))/sqrt(12)).
-sqrt(11)
Simplify (sqrt(152)/sqrt(72))**2 + sqrt(19) - (sqrt(19) + sqrt(152)/sqrt(8) + -5)**2.
-890/9 + 21*sqrt(19)
Simplify sqrt(98)*-1*4.
-28*sqrt(2)
Simplify (-1*(sqrt(15) + sqrt(60)/sqrt(4)))/sqrt(180).
-sqrt(3)/3
Simplify ((sqrt(147) + 3)*6)**2.
1512*sqrt(3) + 5616
Simplify -1*(sqrt(5) - (sqrt(720)*1)**2 - sqrt(45)*5)*-4.
-2880 - 56*sqrt(5)
Simplify (sqrt(192)*-1 + sqrt(3))**2 - 5*-5*sqrt(3).
25*sqrt(3) + 147
Simplify (sqrt(25)/(4*sqrt(5) - sqrt(5)) - sqrt(5)) + 2.
-2*sqrt(5)/3 + 2
Simplify 4 + (2*sqrt(720) + sqrt(720) - sqrt(720)) + (sqrt(720) - sqrt(720)*-2)**2*-5.
-32396 + 24*sqrt(5)
Simplify -3*(2*sqrt(75) + -3)*5.
-150*sqrt(3) + 45
Simplify (sqrt(80) + -3*sqrt(80))**2 - sqrt(50)/(1*sqrt(10)).
-sqrt(5) + 320
Simplify (sqrt(13) + -1 + 4)*6 + -4.
14 + 6*sqrt(13)
Simplify 3 + 1*(0 + sqrt(5))**2.
8
Simplify ((sqrt(190) + sqrt(190) + 1*((sqrt(190) - (sqrt(190) + 1*sqrt(190) + sqrt(190))) + sqrt(190)) + sqrt(190))/(sqrt(40)*1))**2.
19
Simplify (-2*(sqrt(5) + -2 + sqrt(5)) - (sqrt(500)*2)**2)*2.
-3992 - 8*sqrt(5)
Simplify 3 + sqrt(1331)*1 + 5 + sqrt(1331)*2 + -5.
3 + 33*sqrt(11)
Simplify (1*-5*2*sqrt(7))**2.
700
Simplify sqrt(450) + -3*(sqrt(8)/sqrt(4))**2.
-6 + 15*sqrt(2)
Simplify (sqrt(152) + sqrt(152)*-2)/sqrt(8) + sqrt(114)/sqrt(6)*1 + -2.
-2
Simplify sqrt(847) + sqrt(847) + ((-1 + sqrt(847))**2 + sqrt(847) - sqrt(847)) + 2 + ((sqrt(847) + -1)*-1 - sqrt(847) - sqrt(847))**2.
-66*sqrt(7) + 8474
Simplify ((sqrt(99) - sqrt(99)*-1)*2)/(4*sqrt(144)).
sqrt(11)/4
Simplify 4 + -1*sqrt(700) + 5.
-10*sqrt(7) + 9
Simplify 5*(sqrt(99) + (2 + sqrt(99) + 0)**2).
75*sqrt(11) + 515
Simplify (sqrt(8)/sqrt(4)*-2)**2 - -2*(sqrt(10)/sqrt(5) + sqrt(2)).
4*sqrt(2) + 8
Simplify ((-1*1*sqrt(152))/(sqrt(8) - -6*sqrt(24)/sqrt(3)))**2.
19/49
Simplify (sqrt(121)/(sqrt(44)/(sqrt(4)*-3)) + 0)**2.
99
Simplify (sqrt(162)*5 - (0 + sqrt(288)))**2.
2178
Simplify (-1*sqrt(68)/sqrt(4) - sqrt(119)/sqrt(7)*5)**2.
612
Simplify sqrt(51)/(sqrt(36)/(sqrt(24)/sqrt(2))).
sqrt(17)
Simplify (sqrt(896) + sqrt(896) + sqrt(896)*1)/(-1*sqrt(72)).
-4*sqrt(7)
Simplify ((-1 + sqrt(475))*5)**2.
-250*sqrt(19) + 11900
Simplify sqrt(22)/(5*(sqrt(4)/sqrt(2) + sqrt(2))).
sqrt(11)/10
Simplify ((3*(sqrt(60)/sqrt(4) + sqrt(15)))/sqrt(5))**2 + (2*sqrt(3)*3 - sqrt(21)/(sqrt(7)*-1))**2.
255
Simplify (4*(sqrt(275)*1 + -5))**2.
-800*sqrt(11) + 4800
Simplify -2*sqrt(28) - (1*sqrt(7) + 0)**2.
-4*sqrt(7) - 7
Simplify (-1*sqrt(1872) + -1)**2.
24*sqrt(13) + 1873
Simplify (sqrt(208) + 4 + 5)**2.
72*sqrt(13) + 289
Simplify -5*sqrt(51)/(5*sqrt(48))*3.
-3*sqrt(17)/4
Simplify 5*-6*sqrt(65)/sqrt(5).
-30*sqrt(13)
Simplify (sqrt(272) + -3)*-3.
-12*sqrt(17) + 9
Simplify 3 + -1 + sqrt(605) + 1.
3 + 11*sqrt(5)
Simplify -2*(sqrt(2736) - -2*sqrt(2736))**2 + 2.
-49246
Simplify (-3*(-6*sqrt(77)*4)/sqrt(7))**2.
57024
Simplify sqrt(22)/(sqrt(12)/(sqrt(6)*1)).
sqrt(11)
Simplify 3 + (sqrt(3) - (sqrt(147)*1 - sqrt(147)))*-6.
-6*sqrt(3) + 3
Simplify -4 + (sqrt(30) - -2*sqrt(1920))/(sqrt(10) - -4*(sqrt(30)/sqrt(3) + sqrt(10))).
-4 + 17*sqrt(3)/9
Simplify sqrt(78)/sqrt(24) - (-1*sqrt(325))**2.
-325 + sqrt(13)/2
Simplify -2*sqrt(24)/sqrt(8) + (sqrt(243) - (-2*sqrt(243) - sqrt(243))).
34*sqrt(3)
Simplify 4*(sqrt(204)/sqrt(768) - sqrt(17)).
-7*sqrt(17)/2
Simplify sqrt(130)/(2*sqrt(1210)).
sqrt( | {
"pile_set_name": "DM Mathematics"
} |
Is 1867 a composite number?
False
Is 82207 a composite number?
False
Is 124291 a composite number?
False
Is 316691 a prime number?
True
Is 9239 a prime number?
True
Is 14567 composite?
True
Is 69313 prime?
True
Is 379811 prime?
True
Is 1513097 composite?
True
Is 112643 a composite number?
False
Is 25663 a prime number?
False
Is 4774921 a composite number?
False
Is 2131729 prime?
False
Is 36973 a prime number?
True
Is 9479 a prime number?
True
Is 16811 a composite number?
False
Is 1361 a composite number?
False
Is 10081 composite?
True
Is 98431 a prime number?
False
Is 57801 composite?
True
Is 12461 a prime number?
False
Is 278311 a prime number?
False
Is 52147 composite?
False
Is 79437 a prime number?
False
Is 396413 composite?
False
Is 430633 prime?
False
Is 35023 a prime number?
True
Is 1623 a prime number?
False
Is 5969 composite?
True
Is 24407 composite?
False
Is 46399 prime?
True
Is 51778 prime?
False
Is 1469 composite?
True
Is 12867 a prime number?
False
Is 216277 a composite number?
True
Is 309157 prime?
True
Is 39607 composite?
False
Is 41119 a composite number?
True
Is 43773 prime?
False
Is 7681 prime?
True
Is 1549883 prime?
True
Is 87793 a composite number?
False
Is 5710699 a prime number?
True
Is 14281 a prime number?
True
Is 6523 a composite number?
True
Is 13751 a composite number?
False
Is 9239 composite?
False
Is 306937 a prime number?
False
Is 5899 prime?
False
Is 4193 composite?
True
Is 530311 prime?
False
Is 519 a prime number?
False
Is 230495 composite?
True
Is 164213 a composite number?
True
Is 921839 composite?
False
Is 251 a prime number?
True
Is 23755 a composite number?
True
Is 348209 a composite number?
False
Is 3589 a prime number?
False
Is 221755 a prime number?
False
Is 5219 composite?
True
Is 77941 a composite number?
True
Is 98407 prime?
True
Is 30757 prime?
True
Is 141439 a prime number?
True
Is 54907 a prime number?
True
Is 18853 a composite number?
True
Is 310547 a prime number?
True
Is 41867 prime?
False
Is 186365 a prime number?
False
Is 4547 a prime number?
True
Is 79967 a prime number?
True
Is 123231 composite?
True
Is 103387 a prime number?
True
Is 178359 a prime number?
False
Is 1034015 prime?
False
Is 720914 prime?
False
Is 9871 composite?
False
Is 32713 a prime number?
True
Is 12408013 a prime number?
True
Is 21 a composite number?
True
Is 196739 prime?
True
Is 113539 prime?
True
Is 7039 a prime number?
True
Is 85381 a prime number?
True
Is 893 prime?
False
Is 78121 a prime number?
True
Is 168793 a composite number?
True
Is 14351 prime?
False
Is 23893 a composite number?
False
Is 170627 composite?
False
Is 226159 composite?
True
Is 8803 a prime number?
True
Is 1652606 a composite number?
True
Is 1901449 a prime number?
False
Is 78685 a prime number?
False
Is 6067 composite?
False
Is 52919 prime?
True
Is 55951 composite?
True
Is 235607 a composite number?
False
Is 1537 composite?
True
Is 224483 prime?
False
Is 271799 composite?
True
Is 141 prime?
False
Is 178217 prime?
False
Is 176777 a prime number?
True
Is 821993 prime?
True
Is 5587 a prime number?
False
Is 6274 composite?
True
Is 27329 composite?
False
Is 2153 composite?
False
Is 5473 prime?
False
Is 583031 prime?
True
Is 150343 a prime number?
True
Is 47451 prime?
False
Is 2339 a prime number?
True
Is 2785 a prime number?
False
Is 129943 composite?
True
Is 21797 a prime number?
False
Is 185151 a prime number?
False
Is 5207 composite?
True
Is 4265 a prime number?
False
Is 950447 composite?
False
Is 1648879 a composite number?
False
Is 8247 composite?
True
Is 138793 prime?
True
Is 3431 a prime number?
False
Is 427151 a prime number?
True
Is 333367 composite?
False
Is 11549 composite?
False
Is 6679 prime?
True
Is 373 prime?
True
Is 369641 a composite number?
True
Is 50603 prime?
False
Is 40407 composite?
True
Is 34393 a prime number?
False
Is 13843 a composite number?
True
Is 45805 composite?
True
Is 55373 prime?
True
Is 1908703 composite?
False
Is 8383 composite?
True
Is 11513 composite?
True
Is 2231 a composite number?
True
Is 13487 a prime number?
True
Is 75443 a composite number?
True
Is 9727 prime?
False
Is 9953 a prime number?
False
Is 207113 prime?
True
Is 6653 a composite number?
False
Is 3637 a composite number?
False
Is 82921 a composite number?
True
Is 54287 a prime number?
True
Is 587029 a composite number?
True
Is 5209 composite?
False
Is 10261 a prime number?
False
Is 22009 prime?
False
Is 162805 a prime number?
False
Is 4703 composite?
False
Is 128887 composite?
True
Is 320471 a composite number?
False
Is 774947 a composite number?
True
Is 7499 prime?
True
Is 404021 prime?
True
Is 25219 composite?
False
Is 345305 composite?
True
Is 52289 composite?
False
Is 21139 a prime number?
True
Is 4507 a prime number?
True
Is 41161 composite?
False
Is 129671 composite?
False
Is 4621 prime?
True
Is 6739 a composite number?
True
Is 3511 a composite number?
False
Is 189851 composite?
False
Is 10973 a composite number?
False
Is 154009 a composite number?
True
Is 1361 composite?
False
Is 40567 a composite number?
True
Is 143159 a prime number?
True
Is 795227 composite?
True
Is 767263 prime?
False
Is 517541 a prime number?
False
Is 1848955 a composite number?
True
Is 6197 composite?
False
Is 17645 a prime number?
False
Is 36949 a composite number?
True
Is 33457 composite?
False
Is 9533 composite?
False
Is 1899253 prime?
True
Is 32687 prime?
True
Is 4783 a prime number?
True
Is 650701 prime?
True
Is 251 a composite number?
False
Is 445 prime?
False
Is 2477 composite?
False
Is 33827 composite?
False
Is 15305 a composite number?
True
Is 467417 a prime number?
True
Is 4271 a prime number?
True
Is 4421 prime?
True
Is 288803 a composite number?
False
Is 703 a composite number?
True
Is 1929313 a prime number?
False
Is 91207 prime?
False
Is 528053 composite?
False
Is 13859 prime?
True
Is 3763 composite?
True
Is 518845 a prime number?
False
Is 5099 a composite number?
False
Is 116553 a composite number?
True
Is 2361 prime?
False
Is 1171 composite?
False
Is 2041 composite?
True
Is 26491 composite?
True
Is 1026331 composite?
False
Is 493999 composite?
True
Is 7651 a composite number?
True
Is 2218109 a prime number?
False
Is 1259 prime?
True
Is 398087 prime?
True
Is 107621 composite?
False
Is 337385 a prime number?
False
Is 76733 prime?
True
Is 127157 a composite number?
False
Is 5981 prime?
True
Is 114269 a prime number?
True
Is 36145 prime?
False
Is 2723 prime?
False
Is 38 a composite number?
True
Is 467063 a composite number?
False
Is 7554821 composite?
False
Is 56617 composite?
True
Is 3359 a composite number?
False
Is 5207 a prime number?
False
Is 190337 composite?
True
Is 1022011 composite?
False
Is 44845 a prime number?
False
Is 5354 composite?
True
Is 91187 a prime number?
False
Is 1244569 a prime number?
False
Is 3805 composite?
True
Is 103241 a prime number?
False
Is 4211269 a prime number?
False
Is 3431 a prime number?
False
Is 10893 a prime number?
False
Is 3017363 prime?
False
Is 5833 a composite number?
True
Is 1151 composite?
False
Is 829877 composite?
False
Is 2918 composite?
True
Is 519747 prime?
False
Is 239579 prime?
True
Is 6073 prime?
True
Is 800053 a composite number?
False
Is 760211 a composite number?
False
Is 1163618 a prime number?
False
Is 17443 composite?
False
Is 427587 a prime number?
False
Is 223823 a prime number?
True
Is 10831 a prime number?
True
Is 1231759 prime?
False
Is 1285 a composite number?
True
Is 6679 a prime number?
True
Is 1176137 prime?
True
Is 191409 a composite number?
True
Is 16997 prime?
False
Is 276509 a composite number?
True
Is 24599 a prime number?
False
Is 29933 prime?
False
Is 6503 composite?
True
Is 107171 prime?
True
Is 11549 a prime number?
True
Is 140083 a prime number?
False
Is 50885 a composite number?
True
Is 146 prime?
False
Is 535498 composite?
True
Is 333767 a composite number?
True
Is 6295 a composite number?
True
Is 59833 composite?
False
Is 19259 prime?
True
Is 28751 prime?
True
Is 1507 prime?
False
Is 77705 prime?
False
Is 184153 composite?
False
Is 122942 a prime number?
False
Is 169987 a prime number?
True
Is 78497 prime?
True
Is 341927 composite?
False
Is 304683 a prime number?
False
Is 86911 a prime number?
False
Is 25867 composite?
False
Is 65179 composite?
False
Is 10219 prime?
False
Is | {
"pile_set_name": "DM Mathematics"
} |
cond derivative of 2057874*i**5*z**3 - 10*i**2*z - 16*i*z**3 + 3*i*z**2 + 4*i*z + 46*z**3 - 630*z wrt i?
41157480*i**3*z**3 - 20*z
Differentiate 76774225*y + 80482 with respect to y.
76774225
What is the third derivative of -1194*d*w**6 - 54736*d*w**3 + 587679*d*w**2 + 62*w**2 wrt w?
-143280*d*w**3 - 328416*d
Find the third derivative of -2*a**3*o**2 - 348709*a**3*o - 4207229*a**2*o**2 wrt a.
-12*o**2 - 2092254*o
Differentiate 22773915*r - 62169960 wrt r.
22773915
What is the third derivative of 38915396*a**3*p**3 - 16838034*a**3*p**2 + a**3*p wrt p?
233492376*a**3
What is the second derivative of -1546127813*q**2 - 2*q - 943949567 wrt q?
-3092255626
What is the derivative of 2*s*v + 83732350*s + 205*v + 160211 wrt s?
2*v + 83732350
What is the third derivative of -2*a**5 - 3004*a**4 - 1793*a**3 + 489677*a**2 - 6*a + 12?
-120*a**2 - 72096*a - 10758
What is the third derivative of 220693310*f**3 - 5641*f**2 + f + 2640?
1324159860
Find the first derivative of -41128188*p**2 - 45892402 wrt p.
-82256376*p
Find the second derivative of -1072775395*j**3 - 205680127*j.
-6436652370*j
Find the second derivative of -2*m*p*r**3*w**2 + 1249519*m*p*r**2*w**2 - 2010*m*p*r**2*w - m*r**3*w - 2*p - 145*w wrt w.
-4*m*p*r**3 + 2499038*m*p*r**2
Find the second derivative of -287*g**3 + 1195*g**2 - g + 7020186.
-1722*g + 2390
What is the first derivative of -124*d**3*i + 11830*d**2*i - 3*i + 729964 wrt d?
-372*d**2*i + 23660*d*i
Find the first derivative of -2*l**4 - 3*l**3 + 43*l**2 + 1918*l + 36968843 wrt l.
-8*l**3 - 9*l**2 + 86*l + 1918
What is the derivative of -16*b*v**3 - 118155*b - 957446*v**3 + 4 wrt b?
-16*v**3 - 118155
Find the second derivative of -1295498*c*m**2 + 18469*c*m - 5*c - 7*m**3 - 30*m + 1 wrt m.
-2590996*c - 42*m
What is the third derivative of -8255*h**4 - 307*h**3 + 2520*h**2 + 10*h - 91?
-198120*h - 1842
What is the third derivative of -237061783*m**3 + 256253*m**2 - 219*m wrt m?
-1422370698
What is the first derivative of -4386671*h**4 + 24012798?
-17546684*h**3
What is the second derivative of -2*b**4 + 1621978*b**3 - 3*b**2 + 2564025*b wrt b?
-24*b**2 + 9731868*b - 6
Find the third derivative of 3*s**2*t**3 - 2*s**2*t**2 + 27*s**2*t - 3876*s**2 - 64738003*s*t**4 + 63*s - 2*t**2 - 1 wrt t.
18*s**2 - 1553712072*s*t
Differentiate -2*o**3 - 17734435*o**2 + 66952594.
-6*o**2 - 35468870*o
Find the third derivative of 2*a*s**3*w**2 - 51232134*a*s**2*w**3 + 7*a*s**2*w**2 + 13182*a*w + 5*s**3*w**3 - 51*s**3*w - s**2*w**2 wrt w.
-307392804*a*s**2 + 30*s**3
What is the derivative of 1810101*k*n**3 + 53*k*n**2 + 5*n**3 - 6*n**2 - 27*n - 3501 wrt k?
1810101*n**3 + 53*n**2
What is the third derivative of -169607330*z**4 - 103288*z**2 + 329*z wrt z?
-4070575920*z
What is the second derivative of 52845764*j**3 + 47944881*j wrt j?
317074584*j
Find the third derivative of 2*h**4*n**2 + 3042205*h**4*n + 3*h**2*n**2 - 853665*h**2 wrt h.
48*h*n**2 + 73012920*h*n
Find the second derivative of a**3*v**2 + 2*a**3 + 4*a**2*v**2 - 2*a*v**2 - 1078937*a*v + 10404*v**2 - v wrt v.
2*a**3 + 8*a**2 - 4*a + 20808
What is the second derivative of 9308243*g**3 - 5*g**2 + 41593*g + 1629?
55849458*g - 10
Find the second derivative of -23727615*q**3 + 43937284*q.
-142365690*q
Differentiate 63866450*f - 34754751 with respect to f.
63866450
Find the first derivative of 611100*a**3 + 34*a - 3177473 wrt a.
1833300*a**2 + 34
What is the second derivative of -98019793*w**2 - 62*w - 515883?
-196039586
What is the third derivative of 325559152*p**3*s**4 - 102*p**3*s - 196*p**3 - 2*p**2*s + 2*p*s**2 + 90*p - 2 wrt s?
7813419648*p**3*s
Find the first derivative of -17572734*g*m - 51*g - 8021 wrt m.
-17572734*g
Differentiate -25265*g*o + g*y**2 + 550*g*y + 39*o*y**2 + 1932*y**2 + 2*y with respect to o.
-25265*g + 39*y**2
Find the second derivative of -1237067*m*w**4 + 55*m*w**3 + 7*m*w - 2*m + 3340*w + 209 wrt w.
-14844804*m*w**2 + 330*m*w
Find the first derivative of 210280811*l**2 - 792589697 wrt l.
420561622*l
What is the second derivative of -2*d**2*z**2 + 531428*d**2*z - 2*d**2 - 2*d*z - 924080*z**2 wrt z?
-4*d**2 - 1848160
What is the second derivative of -384952079*g**2 + 738140845*g wrt g?
-769904158
Find the third derivative of 5975565*m**3 + 55*m**2 + 88467 wrt m.
35853390
What is the first derivative of 14133375*x**4 - x**2 + 28132890 wrt x?
56533500*x**3 - 2*x
Find the second derivative of 12007303*c**3 + 1379022*c.
72043818*c
What is the derivative of 26243898*i**3 - 4766560?
78731694*i**2
Find the second derivative of -322348323*o**2 - 129633180*o.
-644696646
What is the second derivative of -38478*b**4*p - b**2*p + 187*b**2 - 109*b*p + 2*p + 6361 wrt b?
-461736*b**2*p - 2*p + 374
Find the second derivative of 6742498*c**2 + 7485340*c wrt c.
13484996
What is the first derivative of 66109954*m + 3350670?
66109954
Find the third derivative of -186*n**3*v**3 + 126*n**3*v**2 - n**3 + 15205*n**2*v**3 + 84*n**2*v**2 - n wrt n.
-1116*v**3 + 756*v**2 - 6
What is the third derivative of 32195887*w**4 + 36872731*w**2 wrt w?
772701288*w
Find the second derivative of -26676442*b**2*h**3 + 3*b**2 + 363354616*b*h**3 wrt b.
-53352884*h**3 + 6
Differentiate 2*w**2 + 35978*w - 2472278.
4*w + 35978
What is the second derivative of -513138*g**5 + 12*g**2 + 24144051*g?
-10262760*g**3 + 24
What is the second derivative of 281*o*q**2 - 9429*o*q - 28277*o - 63669*q**2 wrt q?
562*o - 127338
What is the derivative of 45*k**3 - 516548*k - 62990617 wrt k?
135*k**2 - 516548
What is the second derivative of 132039059*f**4 + 59926*f + 109 wrt f?
1584468708*f**2
What is the third derivative of -12909621*o**5 + 3365351*o**2?
-774577260*o**2
What is the second derivative of 2732215*y**2 + 9*y - 732800 wrt y?
5464430
Find the second derivative of 2*w**4 - 9*w**3 - 2479159*w**2 - 179*w - 698278.
24*w**2 - 54*w - 4958318
What is the first derivative of -x**4 + 401*x**3 - 70*x**2 - 6368203 wrt x?
-4*x**3 + 1203*x**2 - 140*x
What is the second derivative of -3*i**2*j**2 - 22*i**2*j - 2363*i**2 + 123141*i*j**5 - 119*i*j - 73*j**2 wrt j?
-6*i**2 + 2462820*i*j**3 - 146
Find the third derivative of -524095357*k**3 + 3*k**2 + 85752*k - 62.
-3144572142
Find the third derivative of 947*h**6 + 3*h**4 + 74*h**3 + 410599*h**2 + 2*h + 6 wrt h.
113640*h**3 + 72*h + 444
What is the first derivative of 947035961*h + 137684509 wrt h?
947035961
What is the third derivative of -5*m**4 + m**3*s - 269532*m**3 + 2*m**2 - 1266982*s wrt m?
-120*m + 6*s - 1617192
Find the third derivative of -49*y**4 + 4299*y**3 + 5476749*y**2 wrt y.
-1176*y + 25794
What is the third derivative of a**3*r**2 - 10143*a**3*r - 798*a**3 - a**2*r**2 - a**2*r + 27747*a*r + 167*r wrt a?
6*r**2 - 60858*r - 4788
What is the third derivative of 807551*b**4 - 187*b**2 - 10817*b?
19381224*b
What is the second derivative of -41426885*b**3*c**2 - 12*b**3*c - b**3 + 48*b**2 + 206*b - 2*c + 2 wrt c?
-82853770*b**3
Find the second derivative of 310037311*d**3 - 236504013*d.
1860223866*d
What is the second derivative of -16884*d**3 + 66*d**2 + d - 14320434 wrt d?
-101304*d + 132
What is the first derivative of -324343611*u**3 - 294357565?
-973030833*u**2
What is the second derivative of -8*h**2*j*o*q**2 - h**2*j*o*q - 2247*h**2*o*q**2 - 526*h**2*o - 28*h*j*q - 4*h*q - 2*j*o - 4*o wrt q?
-16*h**2*j*o - 4494*h**2*o
What is the second derivative of -1284451*n**5 + 49*n - 44888?
-25689020*n**3
What is the third derivative of 12*q**5*z + 4334226*q**3*z - 730626*q**2 - 32*z wrt q?
720*q**2*z + 26005356*z
Find the third derivative of 89*g*n*r**2 - g*r**3 + 2145*g*r**2 - 501600*n*r**3 - 2*r**2 wrt r.
-6*g - 3009600*n
Find the third derivative of 597606825*x**3 + 284653470*x**2 - x - 1.
3585640950
What is the second derivative of 18926767*l**4 + 2477720*l + 47 wrt l?
227121204*l**2
Find the third derivative of -14130576*i**6 + 4*i**2 + 3113*i + 2.
-1695669120*i**3
What is the second derivative of 173613559*i**2 - 1458021996*i?
347227118
Differentiate -337*o**2*t**2 - 9681417*o**2 + o*t**2 - 2*o + 5*t**2 - 2*t with respect to t.
-674*o**2*t + 2*o*t + 10*t - 2
Find the first derivative of 8936*y**4 - 122*y**3 - 5*y - 159801652.
35744*y**3 - 366*y**2 - 5
Find the second derivative of 5*f**3*i**2 + 14*f**3*i - 2*f**3 - 6*f**2*i**2 - 2577*f**2*i + 6*f**2 - 5*f*i**2 + 18*i | {
"pile_set_name": "DM Mathematics"
} |
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