text stringlengths 270 8.19k | meta dict |
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e f(t).
-19
Let a = -1215 - -1222. Let n(z) = 2*z**2 - 23*z + 66. Determine n(a).
3
Let q(a) = -a + 36. Suppose 0 = -2*x - 3*y + 30, -5*x + 112 = -3*y - 5. What is q(x)?
15
Let y(r) = -38 - 18*r + 37*r + 0*r + 71 - 35. What is y(1)?
17
Let x(c) = 5273*c**2 - 1 - 18*c**3 + 0*c - 5270*c**2 + 0*c. Calculate x(1).
-16
Let m = -162 + 164. Let b(l) = 4*l**m - l**3 + 5*l**2 + 3 - 14*l**2 + 6*l. Calculate b(-6).
3
Let w(l) = 2*l + 4. Let f(c) = 30*c + 39. Let q(b) = 14*b + 19. Let z(t) = -2*f(t) + 5*q(t). Let g(j) = 9*w(j) - 2*z(j). Calculate g(-4).
10
Suppose s - 9 = -0*s. Let m(l) = -5*l**3 - 34*l**2 + 10*l + 10. Let z(x) = -2*x**3 - 16*x**2 + 5*x + 6. Let i(h) = 3*m(h) - 7*z(h). Determine i(s).
24
Let x(s) be the first derivative of s**4/2 + 7*s**3 + 11*s**2/2 + 14*s - 2396. Determine x(-10).
4
Let d(k) be the third derivative of k**4/4 - 2*k**3/3 + 119*k**2. What is d(0)?
-4
Let u(m) be the third derivative of -m**4/24 + 2*m**3/3 - 6*m**2. Suppose 0 = -4*c + 3*p + 2*p - 123, 0 = -p + 3. Let b = c - -35. Calculate u(b).
-4
Let o(b) = -b**2 - b + 17. Suppose 24*g + 18 = 21*g. Calculate o(g).
-13
Suppose 0 = -u + 4. Suppose 0 = -4*n - v + u + 8, -10 = n - 3*v. Let f(p) = 7*p + 41 - 74 + 2*p**n + 38. What is f(-5)?
20
Let a(w) = -3*w**2 + w. Suppose 3*k + 12 = 4*k. Suppose 3*c - k = 0, -4*c = 3*v + c - 35. Suppose -5*z = v*y - 15, 2*z + 6 = 2*y + 2*y. Determine a(z).
-2
Let m(r) be the third derivative of 3*r**5/20 - r**4/12 + r**3/2 - 3*r**2 + 28. Let i(t) = -7*t**2 + t - 2. Let y(f) = -6*i(f) - 5*m(f). Determine y(2).
-7
Let p(x) = -x**2 - 8*x + 16. Let f(i) = -i**3 - i**2 + 30*i + 49. Let w be f(-2). Determine p(w).
23
Let r(c) = -c**3 - 4*c + 7 - 3*c**2 + 2 - 7 - 3*c**2. Suppose 0*m = 4*m - 32. Suppose -m = 5*a + 5*g + 22, 0 = 2*a - 5*g + 5. Give r(a).
-3
Let y(d) = -d**2 + 6*d + 23. Let v be y(-3). Let g(z) = -z**2 + z - 10. Let j(m) = m**2 - m + 4. Let x(c) = v*j(c) - 2*g(c). Give x(4).
-20
Suppose 0 = 5*j + 3*t - 39 + 3, -12 = -3*j + 3*t. Let l = 239 + -240. Let n be (-2)/l - (j + -3 - -7). Let r(a) = a + 8. What is r(n)?
0
Suppose 5*r + 3 = -a, 3 = 4*a - r + 15. Suppose 2*n + 2*n = 4. Let g(y) = -n - y + 0 + 3*y**2 - 5*y**2. Determine g(a).
-16
Let x(d) = d**2 - 10*d + 9. Let z = -363 - -1156. Suppose 0 = 788*w - z*w + 35. Determine x(w).
-12
Let d(g) be the first derivative of -g**5/60 - 5*g**4/12 - g**3 + 199*g**2/2 + 122. Let v(r) be the second derivative of d(r). Give v(-8).
10
Let g(q) = q**3 + 89*q**2 + 182*q + 696. Let p be g(-87). Let d(t) = t**3 - t**2 - 2*t + 7. Determine d(p).
7
Let r(g) = 7*g - 37. Suppose 0 = -y - c + 2, -5*y - 4*c + 33 = 18. Give r(y).
12
Let w be (-3)/2*(-16)/12. Let f(g) = g**2 + 2*g - 7*g + g - w + 1. Suppose 15*k = 4*k + 22. Give f(k).
-5
Let t(v) be the first derivative of -3*v - 1/4*v**4 + 45 - 3/2*v**2 - 7/3*v**3. Give t(-6).
-21
Let c(y) = -y**2 + y - 1. Let r(l) = -16*l**2 + 28*l. Let x(j) = -30*c(j) + 2*r(j). Determine x(14).
2
Let i(w) be the first derivative of w**2/2 + w + 96. Suppose a = -3*h + 1, h + 3 = -a + 2. Let n be (-1)/((-6)/(-5) - h). Give i(n).
-4
Let s(j) = 38*j**3 - 64 + 8*j**3 + 10*j**2 - 42*j**3 - 3*j**3 + 3*j. Calculate s(-9).
-10
Let a(x) = x**2 - 2*x - 1. Let o(d) = 4*d**2 - 13*d + 20. Let n(m) = -10*a(m) + 2*o(m). Determine n(-7).
-6
Let m be ((-2)/(-4))/(3/6). Let i = -300 - -302. Let o(k) = -3*k**i - 233*k - 8*k**2 + 233*k. Give o(m).
-11
Suppose 0 = -5*c + 5*s - 4*s + 49, 28 = -7*s. Let a(l) = l**3 - 10*l**2 + 9*l + 10. Give a(c).
10
Suppose -24 = -9*o - 15. Suppose 3 = 4*v - o. Let l be 0*(-4)/8 - v. Let i(y) = 3*y**3 + y**2 - y - 1. Give i(l).
-2
Let o be (969/(-342))/(1/6). Let j(w) = w**3 + 15*w**2 - 31*w + 19. Calculate j(o).
-32
Let h = -331 - -325. Let x be -7*(-12)/36*h/(-2). Let t(s) = 3*s - 25. Calculate t(x).
-4
Let l = 573 - 573. Let r(z) = -2*z**2 + 10. Let p(i) = -i**3 + i**2 - i. Let f(v) = -p(v) - r(v). What is f(l)?
-10
Let w(t) = t**2 - 7*t + 6. Let a(s) = 3*s**2 - 11*s + 10. Let x(h) = -4*a(h) + 7*w(h). Give x(-4).
-58
Let a(r) be the second derivative of 29*r**3/6 - 112*r**2 + 3473*r. Give a(8).
8
Suppose 3*c + 120 = 12. Let x be 9/(-11) + 1 + c/(-44). Let s(a) = 2*a**3 + a**2 + a - 1. What is s(x)?
3
Let n(d) be the second derivative of d**3/6 + 6*d**2 - 79*d + 1. Calculate n(-14).
-2
Let l(u) = -2*u - 7. Let y(v) = -v - 1. Let a(m) = l(m) - 3*y(m). Suppose 0 = -h - 62 - 44. Let r = h + 109. Give a(r).
-1
Let b(m) = 19*m**2 + 12*m - 12. Let r be b(-7). Let f(d) = -3 - 7 - 836*d + r*d. Give f(-10).
0
Let t(i) be the first derivative of 2*i**2 - 10*i + 3787. Give t(3).
2
Let r(s) = -238349*s + s**3 + 238349*s + 2*s**2 + 3. Calculate r(-2).
3
Let o(y) = y**2 + 31*y - 33825 + 11275 + 11282 + 11321. Give o(-29).
-5
Let j(y) = -8*y**2. Suppose -3*n - 30 + 3 = -4*q, 0 = 3*n + 4*q + 3. Let b(o) = -9*o**2. Suppose -3*i = -i - 8. Let v(g) = i*j(g) + n*b(g). Calculate v(-1).
13
Let s be (-6)/2 - 14*(7 - 10)/6. Let i(n) = 7*n - 23. What is i(s)?
5
Let a(v) be the third derivative of 2*v - 1/60*v**5 + 7*v**2 + 1/6*v**4 - 1/6*v**3 + 0. Determine a(3).
2
Let t(h) be the first derivative of -h**3/3 - 2*h**2 + 37*h - 51. Give t(-6).
25
Let i(w) = 109*w - 12. Let y(z) = 86*z - 11. Let q(b) = -4*i(b) + 5*y(b). Calculate q(-3).
11
Let n(g) be the third derivative of g**4/12 + 4*g**3 - 1252*g**2. Determine n(9).
42
Let p be 22/(-4)*(-20 - -22). Let f(u) = 2*u**2 + 18*u - 42. Give f(p).
2
Let d(b) be the first derivative of -b**4/4 - 17*b**3/3 + 17*b**2/2 - 18*b + 64. Give d(-18).
0
Let n(p) = -7*p - 2. Let d(y) = -54*y - 10. Let l(s) = -d(s) + 6*n(s). Suppose 6 = 4*w - 6*w. Give l(w).
-38
Suppose -3*z + 13 = 10. Suppose 0*h - 2*a + 27 = 5*h, h + 2*a = -z. Let c(g) = -g**2 + 7*g - 3. Calculate c(h).
-3
Let w be 4*1 - (26 - 28). Let p(q) = w*q**2 + 3*q - 3*q**2 - 1 + q - 2*q**2 + 3*q. Let l be (3 - -2)/(-2 + 1). Determine p(l).
-11
Let z = -899 + 1023. Suppose -31*d + 31 - z = 0. Let t(s) = -s**3 - 5*s**2 - s + 1. Calculate t(d).
-14
Suppose 5*m - 8*m = -t - 20, -4*m + 4*t = -32. Suppose 3*x + 6 = 2*c, -2*c + m*x - 5*x - 2 = 0. Let k(l) = 2*l**2 + 5*l + 3. Determine k(c).
6
Let c(m) be the third derivative of -m**5/60 + 5*m**4/6 - 77*m**3/3 + 2*m**2 - 72. Let r(j) be the first derivative of c(j). What is r(9)?
2
Suppose 5*a = 4 + 16. Suppose 29 = a*s - p, 11*p + 17 = 2*s + 8*p. Let c(z) = z**3 - 8*z**2 + 4*z - 3. What is c(s)?
-24
Let p(b) be the second derivative of b**4/12 - 13*b**3/6 + 6*b**2 - 13*b. Suppose 39*o + 30 = 42*o. What is p(o)?
-18
Let h(a) = 36*a + 34*a + 2 + 32*a - 97*a. Suppose i = -2*i + 3. Let q be 3/2*(1 + i). Determine h(q).
17
Let b be (-2)/1*15/(-3). Let g be -1*(-8 + -1)/3. Let z(u) = u**3 - 3*u**2 + 12*u - g*u**2 - b*u. Give z(5).
-15
Let c(y) = -5*y**3 - 24*y**2 + 34*y - 12. Let b(d) = 3*d**3 + 16*d**2 - 23*d + 8. Let f(u) = -8*b(u) - 5*c(u). Calculate f(6).
8
Let q(l) be the third derivative of -8*l**5/5 - l**3/6 - 3*l**2 + 39*l - 1. What is q(-1)?
-97
Let y = -19802 - -19798. Let x(f) = 3*f**2 + 10*f + 3. Calculate x(y).
11
Let o(g) be the third derivative of -g**5/60 + g**4/12 + g**3/2 + 2*g**2. Suppose -52315*j + 52336*j + 42 = 0. Give o(j).
-5
Let p(g) = g. Suppose 3*s = a - 3, 5*a - 5*s - 18 - 7 = 0. Suppose -30 = 30*k - 25*k. Let y be (a/(-5))/((-7 - k)/(-5)). Calculate p(y).
-6
Let d(a) = -3*a**2 + a. Let r(y) = 15*y**2 - 7*y. Let c(v) = 26*v + 235. Let i be c(-9). Let n(k) = i*r(k) + 6*d(k). What is n(-1)?
-2
Let r(v) be the third derivative of -v**4/8 + 11*v**3/3 - 1389*v**2. What is r(9)?
-5
Let o(v) be the first derivative of 6*v**2 + 22*v - 3853. Calculate o(-3).
-14
Suppose 0 = 6*g - 2*p - 28, -4*g + 13*p = 11*p - 16. Let c(h) = -3*h - 10. Give c(g).
-28
Let w = 8 - 2. Let z(l) = -7*l. Let r(t) = -8*t. Let j(g) = w*r(g) - 7*z(g). Let h = 2 - 6. What is j(h)?
-4
Let w(r) = -1 - r**2 + 6*r + 4*r - 4*r - 2. Let h be (-10)/65 - 148/52. Let x(k) = -2*k - 3. Let t be x(h). Calculate w(t).
6
Let c = 5162 - 5164. Let n(f) = f**3 + 2*f**2 - 2*f + 1. Determine n(c).
5
Suppose 1196 + 1477 = 194*q + 3837. Let m(r) = 6*r + r - 3*r + 24. Determine m(q).
0
Let a(m) = m**2 + m. Let p(x) = 4*x**2 + 5*x - 3. Let f(z) = 10*z + 229. Let b be f(-23). Let v(y) = b*p(y) + 3*a(y). Give v(2).
-5
Let m(g) = -g**2 - 6*g + 6. Let f be (198/(-27))/((-2)/9). Suppos | {
"pile_set_name": "DM Mathematics"
} |
3).
-12*w**4
Expand (-2 + 0 + 0)*(f - f - 6*f**3 + (-2*f - 4 + 4)*(4*f**2 - 2*f**2 - f**2)).
16*f**3
Expand (0 - 6 + 4)*(2*j**4 + 0*j**3 + 0*j**3) - 3*j**4 + 6*j**4 - 19*j**4.
-20*j**4
Expand (0*l + 0*l + l)*(8*l - 8*l + 8*l**3)*(-4*l + 3 - 3).
-32*l**5
Expand 0*o + 2*o**5 + 0*o + (-2*o**5 + 0*o**5 + 3*o**5)*(-7 - 3 + 5).
-3*o**5
Expand 3 + 2*o - 3 + (2*o - 4*o + o)*(-2 + 1 + 2) + 6*o - 5*o + o - o - 4*o + o + 0*o - 3*o - 3*o - o + 0*o + 0*o + (-3 + 3 + 2*o)*(1 + 1 + 0).
-4*o
Expand (4*f - 3 + 3)*(-3 + 0 + 1).
-8*f
Expand (2*b + b + 0*b)*(6*b + 5*b + 4*b).
45*b**2
Expand (-2*h**3 + 5*h**3 - 4*h**3)*(3*h + h + h)*(3*h - 5 + 4 + 2).
-15*h**5 - 5*h**4
Expand (-k - k + k)*(0 - 2*k + 0) - 3*k**2 - 6*k**2 + 0*k**2 + (0 + 0 + k)*(k + 4*k - 4*k).
-6*k**2
Expand -3*g**3 + 0*g**3 + g**3 + (-2*g + 3*g - 5*g)*(-5*g**2 + 2*g**2 + 2*g**2) - 2*g**3 + g**3 + 3*g**3 + g**2.
4*g**3 + g**2
Expand (-1 + 2 + 2)*(0 - 1 + 3)*(-6*j - 5*j + 0*j).
-66*j
Expand (-38*r + 24*r - 15*r - 2)*(1 - 6 + 3)*(0*r**2 + r**2 + 0*r**2).
58*r**3 + 4*r**2
Expand (-2*g**2 + 4*g**3 + 2*g**2)*(0*g + g + g)*(1 + 3 - 2).
16*g**4
Expand 0*o + 2 - 3*o + o + (-1 + 1 - o)*(-3 + 6 - 1).
-4*o + 2
Expand (f - 3*f + 3*f)*(-2*f**2 + f**2 - f**2) - 23*f**3 + 34*f**2 - 34*f**2 + (-2*f**2 + f**2 + 3*f**2)*(5*f - 2*f - f) + 0*f + 0*f - f**3.
-22*f**3
Expand (-2*k**2 - 3*k**2 + 8*k**2)*(k + 6 - 6 - 2*k + 0*k + 0*k + (1 - 2*k - 1)*(0 - 1 + 2)).
-9*k**3
Expand (0 - 2*o + 0 + (5 - 3 - 1)*(3*o - 5*o + 0*o) + 1 - 1 - o - 2 - o + 2)*(32 + 25 - 66).
54*o
Expand (2*p - 2*p + 2*p)*(3*p - 3*p - 2*p) + (3 - p - 3)*(-p - 1 + 1).
-3*p**2
Expand (2*n - 3 + 3)*(6 + 58 - 9).
110*n
Expand -u**2 - 2 + 2 + (-1 - 1 + 1)*(6 - 3*u**2 - 6) + 4*u**2 - u**2 + 0*u**2.
5*u**2
Expand (-2*n**3 + 0*n**2 + 0*n**2)*(-12 - 16 + 5).
46*n**3
Expand (-1 + 1 + m)*(24*m**2 - m - 10*m - 21*m**2).
3*m**3 - 11*m**2
Expand ((4*k - 3*k + k)*(0 - 2 + 3) + 4*k - 7*k - k)*(-5*k + k - 2*k).
12*k**2
Expand (2*x**2 - 4*x**2 + 0*x**2)*(6 + 3*x**2 - 6) + 2*x**4 + x**3 - x**3.
-4*x**4
Expand (-4*x**2 + 0*x**2 + 2*x**2)*(-5 + 6 + 8).
-18*x**2
Expand ((-1 + 3 + 0)*(1 - 1 + 4) + 2 + 0 - 4)*(-2*g**2 + 0*g**2 + g**2).
-6*g**2
Expand (0 - 1 + 0)*(-j - j + j) - 2*j + 3*j - 4*j - j + j - j - 4*j + j + 4*j + (-1 + 0 + 3)*(-2*j + j + 3*j) - 5 + 5 + j.
3*j
Expand (-1 + 0 + 0)*(d - 3*d - 3*d).
5*d
Expand (-k**2 + k - k)*(-19*k + 4 - 3*k - 3).
22*k**3 - k**2
Expand 0*y + 2*y - y - 4 + 4 + y + (2 - 1 + 0)*(-3*y + 0*y + 5*y) - 2*y + 6*y - y - 3*y + 4*y + 0*y + (1 - 2*y - 1)*(2 - 2 - 2) + 2*y + 3*y - 3*y.
14*y
Expand (5*k**3 + 0*k**3 - k**3)*(-6*k - 4 + 4).
-24*k**4
Expand w - 4*w + w + (3 - 21 - 9)*(3 - 3 + 2*w).
-56*w
Expand (1 + 1 - 3)*(4*r - 3*r + 0*r) + (r + 2*r - 2*r)*(0 + 1 + 0)*(1 - 3 - 3).
-6*r
Expand 0*i**2 - 3*i**2 + 5*i**2 + (-i + i - 3*i)*(12 - 12 + 12*i)*(-4 + 1 + 2).
38*i**2
Expand 14 + 29*w**2 + 9 - 21 + (-1 + 1 + 4*w)*(3*w - 4*w + 3*w).
37*w**2 + 2
Expand 3*c**2 + 10 - 2*c**4 + 16*c - 16*c + 3*c**4 - 2*c**4 - 2*c**4 - 4*c**4 + 0*c**4 + 2*c**4 + (-3 + 3 - 1)*(-1 - c**4 + 1) + 2*c**4 + c**4 - 2*c**4.
-3*c**4 + 3*c**2 + 10
Expand (0 + 0 + i**5)*(6 - 4 + 5)*(1 - 4 + 2).
-7*i**5
Expand (s**3 + 4*s**3 - 3*s**3)*(2 - 2*s - 2) + (2*s**4 - 2*s**4 - s**4)*(-1 + 0 + 3).
-6*s**4
Expand (-5 + 1 + 5)*(-n - 3 + 3)*(-2 - 39 + 7)*(-3*n**2 + 4*n**2 - 2*n**2)*(2 + 3 - 4).
-34*n**3
Expand 5*p**4 - p**4 - 2*p**4 + (-2*p**3 + p**3 + 0*p**3)*(-4*p + 0*p + 3*p) + p**3 - 2*p**4 - p**3 - 2*p**4 + 0*p**4 - p**4 + 0 + 0 - 2*p**4.
-4*p**4
Expand (3 - 3 + 2)*(-4*r**4 - 5*r**5 + 4*r**4) + 6*r**2 - 4*r**2 - 2*r**5 - r**5.
-13*r**5 + 2*r**2
Expand (-h**2 + 2*h**2 - 2*h**2)*(-2*h**3 - h**3 + 0*h**3) + 0*h**5 + h**5 + 0*h**5 + (3 + 2*h**2 - 3)*(2*h**2 + h**3 - 2*h**2).
6*h**5
Expand 5*z + 5*z - 5*z + (-2 + 0 - 1)*(0*z - 4*z + 3*z) + 4*z - z - z.
10*z
Expand (4*y + 0*y - 3*y)*(-3*y**2 + 3*y**2 - 4*y**4) + (0*y + 2*y**3 + 0*y)*(0*y - 2*y**2 + 0*y) + 0*y**5 + 2*y**5 - y**5 - 4*y + 4*y + y**5.
-6*y**5
Expand ((3*w - w + 3*w)*(5 - 1 - 2) - 3*w + 2*w + 0*w)*(0 - 3 + 5).
18*w
Expand (x**2 + 2*x**2 - 2*x**2)*(-x**2 + 7*x**2 - x**2)*(-3*x - 2*x + 6*x).
5*x**5
Expand 4 + 2*y**2 - 5*y**2 + 2*y**2 + (0*y + 3*y - 2*y)*(3 - 3 - y).
-2*y**2 + 4
Expand (w + 1 - 2*w + 0*w)*(0*w**2 - 3*w**2 + 2*w**2) + (-2*w**3 - 2*w**3 + 2*w**3)*(0 - 1 - 1) + w**2 - w**2 - w**3.
4*w**3 - w**2
Expand 2*p + 1 - 1 + (2 + 1 - 2)*(29*p - 16*p - 37*p).
-22*p
Expand (-r + r**2 + r)*(692 + 34*r - 692).
34*r**3
Expand (0 + 4 - 1)*(j + 3*j - 3*j) + (j - 2 + 2)*(1 - 2 + 3) + j - 3*j + 3*j.
6*j
Expand (-1 + 0 - 5*h + 0)*(0 + 0 - 1).
5*h + 1
Expand ((q + 6*q - 5*q)*(5*q**4 - 3*q**4 + 0*q**4) + q**5 + 2*q**5 - 2*q**5)*(-1 + 6 + 0).
25*q**5
Expand (3*g - 4*g - 3*g)*(-4*g + 3*g - g)*(g - 3 + 6 - 4*g).
-24*g**3 + 24*g**2
Expand (4 - 1 - 1)*(-3*w + 5 - 5)*(0*w**4 + w**4 + 2*w**4).
-18*w**5
Expand -2*a - 3*a - 3 + 0*a + (0 - 3 + 2)*(2*a + 0*a - 3*a) + a + 1 - 1.
-3*a - 3
Expand (-3 + 4 + 1 + (1 + 4 - 4)*(2 + 3 - 3) - 2 + 5 - 1)*(s + 0*s - 3*s**2 - s**2).
-24*s**2 + 6*s
Expand (0 + 1 + 2)*(-5*v + 3*v + 0*v) + (-1 + 2 + 1)*(0*v + v - 4*v).
-12*v
Expand (39*m + 55 - 55)*(-2 + 5 - 5).
-78*m
Expand (0*i**4 - 2*i**4 + 4*i**4)*(-1 + 4*i + 1) + 3*i**5 - 2*i**5 + i**5 + (-3 + 1 + 1)*(-2*i**5 - i**4 + i**4).
12*i**5
Expand (3 - 2 - 2)*(-6*x**2 + x**2 + 3 - x**3 + 2*x**2).
x**3 + 3*x**2 - 3
Expand (0 + 5 - 4)*(1 - 3 - 1)*(5*v - 5*v + v)*(v**2 - 3*v**2 - v**2).
9*v**3
Expand 1 + i - 1 + (2 + 0 - 3)*(-3*i + 0*i + i) + 5*i + 2*i - 3*i + 3*i + 4*i - 5*i.
9*i
Expand -9 - 7 - 4 - 2*n**2 + 1 + n**2 - 1 + n**2 + 4*n - 4*n + (0 + n + 0)*(-2*n - n + 4*n) + 0*n - 2*n**2 + 0*n.
-n**2 - 20
Expand (-79*j + 70*j - 130*j)*(-2 - 1 + 2)*(-4 + 1 + 2).
-139*j
Expand 2023 - 2023 + 90*x**5 - 3*x**5 + 3*x**5 + 2*x**5 - x**4 + x**4 - 2*x**5 + (1 + 2*x - 1)*(1 - 1 - x**4) + x**5 + 2*x**5 - 2*x**5.
89*x**5
Expand (m**2 - 5*m**2 - 6*m**3 + 3*m**2)*(-2*m**2 - 4*m**2 + 4*m**2).
12*m**5 + 2*m**4
Expand (-10*s**4 + 4*s - 4*s)*(2*s - 2*s + s) + 4*s**5 - s**5 - 5*s**5.
-12*s**5
Expand 3*r - 6*r + r + (-13 - 5 + 3)*(-2*r - 2*r + 6*r).
-32*r
Expand (-s - 2*s + 12*s)*(3*s**4 - 2 - 4*s**4 + 0).
-9*s**5 - 18*s
Expand (-2*n + 0*n + n - 1)*(2*n**2 + 3*n**2 - 3*n**2)*(-2*n**2 + 7*n**2 + 0*n**2).
-10*n**5 - 10*n**4
Expand (5*m**2 - 2*m**2 - 4*m**2)*(-m - m + 3 + 3*m).
-m**3 - 3*m**2
Expand (4*v - 3*v - 5*v)*(-262*v**2 + v**4 + 262*v**2 + v**3 - 3*v).
-4*v**5 - 4*v**4 + 12*v**2
Expand (-6*c - 2*c + 10*c)*(-c + 1 - 1)*(1 - 2 + 3).
-4*c**2
Expand (7*v - 2 - 1 - 8*v)*(3*v**3 + 0*v**3 - 2*v**3).
-v**4 - 3*v**3
Expand y - 1 + 1 + (-2 + 1 - 1)*(0*y + 0*y + 2*y) - 2*y + 2*y + 2*y + 2*y - 5*y + y + (0 - 3 + 2)*(-3 + 3 - y) - 1 + y + 1 + y - 4*y + 2*y + y + 0*y - 5*y.
-6*y
Expand (-z + z**2 + z)*(0*z - 2*z + 3*z) + 7 - 2*z**3 - 2 - 4.
-z**3 + 1
Expand (x**3 - 4 + 4)*(2*x - 4 + 1 + 55).
2*x**4 + 52*x**3
Expand 1 - w**2 - 1 + (1 + 0 - 2)*(-3*w + 3*w + 2*w**2) - w**2 + 5*w - 2 - 5*w.
-4*w**2 - 2
Expand (-2*j + 5*j - 5*j)*(-2*j - 4*j + 2*j)*(4*j - 2*j + 2*j).
32*j**3
Expand (-3*f**3 + 3 - 3)*(-3*f + 3*f - 2*f**2) + (-2*f**2 - 3*f**2 - f**5 + 3*f**2)*(-5 + 3 + 1).
7*f**5 + 2*f**2
Expand (-w**2 + w**2 + 2*w**2)*(-17*w**3 + 27*w**3 - 77*w**3).
-134*w**5
Expand -3*h**3 + 1 - h**3 + 6*h**3 + 0*h**3 + 0*h**3 - h**3 + (2*h**3 - 2*h**3 + 4*h**3)*(-4 + 3 - 5).
-23*h**3 + 1
Expand (t - t + 2*t + 0*t + 0*t + 2*t + t + 2*t - 4*t + (3 - 3 - t)*(6 - 4 - 3) - 2 + t + 2 + t + 2*t - t + 4*t - 3*t + 0*t)*(-2*t - 5 + 5).
-16*t**2
Expand -2 + 2 - 2*w**5 + (-w**2 + 2*w**2 + 0*w**2)*(-411*w + 411*w - 4*w**3).
-6*w**5
Expand (-2 + 7 + 2)*(-x - 4*x + 4*x) - x - 3*x + 5*x + (-1 + 2 + 0)*(x - 1 + 1).
-5*x
Expand (16 + 4 + 16 + (1 + 2 - 2)*(-6 + 2 + 2))*(4 + 0 - 3)*(0 + 0 - h).
-34*h
Expand (-i**2 + 2*i**2 + 0*i**2)*(4 - 1 + 4 - 3 + 1 + 0 + (2 - 1 + 1)*(1 - 2 + 3)).
9*i**2
Expand 4*s**5 - 2*s**5 + 0*s**5 + (-2*s + 5*s - s)*(2*s**4 - s**4 - 3*s**4) - 2*s**5 + 0*s + 0*s.
-4*s**5
Expand (0 - 2*v + 0)*(-4 - 19 - 13)*(-3 + 3 - v**2).
-72*v**3
Expand 0*c + c**3 + 0*c + (2*c**2 - 1 + 1)*(-c - c + 0*c) + (3 - 2 + 4)*(-c**3 + 0 + 0).
-8*c**3
Expand (r - r + r)*(r + r**2 - r)*(-16 - 3 + 12).
-7*r**3
Expand 2*u**5 + 0*u**5 + 0*u**5 + 3*u**5 + 2*u**5 - 2*u**5 + (4*u + 0*u - 3*u)*(-u**2 + 2*u**4 + u**2).
7*u**5
Expand -5*u + 3*u + 0*u + (- | {
"pile_set_name": "DM Mathematics"
} |
mallest common multiple of n and 8.
8
Suppose -416 = -4*j - 276. Calculate the smallest common multiple of 240 and j.
1680
Suppose 10 = 3*w - 0*x - x, 2*w + 5*x - 35 = 0. Let g be 0/(-6) + (-2 - 0). What is the lowest common multiple of g/(-4) - 57/(-6) and w?
10
Let q = 2799 + -11289/4. Find the common denominator of q and -7/316.
316
Let i(g) = g**3 - 5*g**2 + 3*g - 5. Suppose 27*j - 30*j = -6. Suppose 9*k - j*k - 126 = 0. What is the least common multiple of k and i(5)?
90
Suppose 3*r - h + 101 = h, -5*h = 2*r + 80. Let m = r + 45. What is the lowest common multiple of 8 and m?
40
Let c = -2 + 12. Suppose 6 = -c*u + 12*u. Calculate the lowest common multiple of u and 7.
21
Let m = 108467/20 + -5419. Let p = -198031/12 + 16491. What is the common denominator of p and m?
60
Let s = -3/75643 - -6278897/13313168. What is the common denominator of s and -31/44?
176
Let o(n) = -5*n + 4. Calculate the smallest common multiple of 23788/939 - 16/(-6) and o(-4).
168
Let i be 12/(-18)*(-111)/(-6). Let f = -337/21 - i. What is the common denominator of -43/6 and f?
42
Suppose 0 = -5*t + 2*f - 2587, 0 = -t - 2*f + 6*f - 521. Suppose w - 6 + 4 = 0, -3*w - 394 = 5*p. Calculate the common denominator of -137/18 and 4/10 - t/p.
144
Suppose 0 = -3*o + 20 + 49. Suppose 0*f = o*f - 506. Let y(x) = 2*x + 4. What is the smallest common multiple of f and y(4)?
132
Suppose 2*n + 800 = 42*n. Suppose -2*h + 40 = -0*h. What is the least common multiple of h and n?
20
Let s(l) = -l**2 + 11*l + 5. Let b be s(11). Suppose -k = -4*q + 10, -2*k - b*q + 26 = -k. Calculate the smallest common multiple of k and 7.
42
Let f be (-9)/(-15) + (-57)/(-5). Suppose -224 = -f*w + 8*w. Calculate the lowest common multiple of 12 and w.
168
Let r = 72 - 37. Let u = -31 + r. Let g(f) = f**3 - 2*f**2 + 2*f + 4. Calculate the smallest common multiple of 18 and g(u).
396
Suppose -3*q + 24 = -0*q + 5*l, 3*q - 24 = 5*l. Calculate the lowest common multiple of q and 184.
184
Suppose -13*o = 56 + 35. Let k be (-2 - -911)*-1*-5. Calculate the common denominator of 2/o + k/840 and -76/3.
24
Let m be (-4)/(-5)*-1*-5. Suppose m*y - 4 = -0. Calculate the least common multiple of (y - -1 - -1) + -1 and 6.
6
Let w(q) be the first derivative of q**2/2 + q - 6. Calculate the least common multiple of 2 and w(1).
2
Let f(i) = -6*i - 20. Suppose 2*s - 10 = -2, 3*s = -2*c. What is the lowest common multiple of f(c) and 76?
304
Let m = 2/36784371 - -960231482029/220706226. Suppose 5*v = 2*o - 5*o - 13067, -v = -o - 4345. Let b = m + o. What is the common denominator of b and -39/4?
36
Let k = -8351543/6028320 - 2/62795. Find the common denominator of k and 1/9.
288
Let n = -11/7167 + 3691313/200676. Let f = -25/28 + n. Calculate the common denominator of 3/12*(-4 + 186) and f.
2
Suppose -3*h = 5*l + 7, -h + 7 = -3*h - l. Let d = -982 - -3022/3. What is the common denominator of (30/33)/(2 + h) and d?
33
Let n = 6162 - 67735/11. What is the common denominator of n and (40/(-15) - -2)/((-16)/612)?
22
Suppose 18 = 2*j + 3*q, -4*j - 3*q = -26 + 2. Calculate the least common multiple of j and 25.
75
Let m be (-11543)/20 + (-12)/4. Let g = -729 - -1307. Let w = g + m. Calculate the common denominator of w and -41/30.
60
Let q = 37247/6 + -6188. What is the common denominator of 1/(4/(20/45)) and q?
18
Let i(c) = -c**2 - c + 29. Let j be i(-6). Find the common denominator of 0 - -3*j/(-6) and (-1)/(-2)*55*-1.
2
Let m(l) = 7080*l. Let d be m(10). Let p be 549110/d - (-2)/3. Let h = p + -14/295. Calculate the common denominator of h and 31/11.
88
Find the common denominator of 89/28 and (-6)/(-20)*(-61610)/(-366).
28
Suppose 0 = -13*r - 69 + 4255. What is the lowest common multiple of r and 18?
2898
Let r = -592 - -1140. Calculate the lowest common multiple of 4 and r.
548
Let f = 103 - 99. Suppose -3*w = 3*g - 564, 3*g + 572 = 6*g - w. What is the common denominator of g/(-32) - (3 - f) and 57/10?
80
Calculate the common denominator of (-13)/((-104)/(-40)) - 201/(-12) and -1 + (-1 - 29/(-42)).
84
Suppose 3*m - 4 = -13. Calculate the smallest common multiple of (4/(-3))/(2/(-3)) and 18 - (-15 - m)/(-6).
16
Let j(d) = -26*d + 2. Let k be j(-3). Calculate the common denominator of 1 - ((-195)/k + -2) and 39/16.
16
Let b be ((-9)/27)/((-1)/174). Let l = b + -38. Calculate the smallest common multiple of l and 12.
60
Find the common denominator of 1162/(-138) + 166/1909 and -88/21.
21
Suppose 6*v - 97 = 35. What is the lowest common multiple of (2/4)/(10/360) and v?
198
Let c(o) = o**2 - 2*o - 9. What is the least common multiple of c(-3) and 42/5 + (-2)/5?
24
Let n = -832 + 1196. Calculate the smallest common multiple of 6 and n.
1092
Let p = 59/14 - 470/119. What is the common denominator of -59/136 and p?
136
Suppose -4*h + 5 = -15, 0 = 2*a - h - 5. Suppose -a*l + 12 = -c, 3*c + 2*l - 48 = -2*c. Let f = 9 - c. What is the smallest common multiple of f and 11?
11
Suppose i - 3*x - 27 = 0, 2*i + x = -6 + 25. Let b = 6 - 34. Calculate the common denominator of 220/i*(-6)/b and -45/16.
112
Let b = -10577 - -190313/18. What is the common denominator of 23/66 and b?
198
Suppose 0 = 1104*t - 1099*t - 20. Calculate the lowest common multiple of t and 60.
60
Let o = 19 - 8. Let m be -2*(4/8 - 3). Suppose -9*s + m*s + 8 = 0. Calculate the lowest common multiple of o and s.
22
Let p = 273 - 245. Calculate the least common multiple of 6 and p.
84
Suppose -4*c + 40 = -2*c. Let j be (180/(-8 + 2))/((-6)/4). Suppose 2*s = 4*t - s - 84, -5*s - j = 0. Calculate the smallest common multiple of c and t.
180
What is the least common multiple of 126 and 1 + ((-7320)/(-10))/6?
5166
Let p = 11 + -9. Suppose p*i = i + 12. Suppose 0 = -4*v - i, q + 2*v - 35 = -0*v. Find the common denominator of -9/7 and q.
7
Suppose -27*d + 11*d + 48 = 0. Calculate the least common multiple of d and 15.
15
Suppose 9 + 321 = -6*l. Let y = 61 + l. What is the least common multiple of y and 6?
6
Let j = -148813 - -17857429/120. What is the common denominator of j and -93/20?
120
Let z be (-946)/(-77) + 4/(-14). Let j = -8 + z. Suppose 16 = 5*o - j. Calculate the smallest common multiple of 3 and o.
12
Let m = 14225/14 - 1021. Calculate the common denominator of -107*(-2)/(-12) - -1 and m.
42
Let v(p) = -p**2 + 4*p + 5. Suppose 4*s - s - 12 = 0. Let r(m) = -8*m + 275. What is the lowest common multiple of r(33) and v(s)?
55
Let n be (-5)/(2 - 4262)*3. Let j = 10933/284 + n. Calculate the common denominator of -1/16 and j.
16
Let w = -7319/112 + 991/14. Find the common denominator of (-16)/(-4) + (-76)/(-48) and w.
48
Let t(f) = 2*f - 11. Suppose 0 = -5*w - 2*o + 48, -w + 4*o + 0*o - 8 = 0. Calculate the lowest common multiple of t(w) and 7.
35
Suppose -3 + 18 = 5*j, l - 2 = -j. What is the lowest common multiple of (40/48)/(l/(-6)) and 3?
15
What is the least common multiple of (-1)/(((-1)/(-40))/((-9)/12)) and 12?
60
Let w = -1041407123273333/5296 + 196640318839. Let z = w + -1413/1324. Let f = -1000 + z. What is the common denominator of f and -85/6?
48
Let c be (4/3)/(2/3). Suppose c*w - 9 = 5. Suppose 0 = 4*t - w - 5. What is the smallest common multiple of t and 5?
15
Suppose -5*x - 4 = 2*k, 10*x - 8*x = -5*k + 32. What is the lowest common multiple of k and 14?
56
Let g = -18 - -124. What is the lowest common multiple of g and 6?
318
What is the least common multiple of 51 and -1*6/(-2)*136/51?
408
Let r be ((-7605)/(-132))/(-15) + (5 - 1). Let w = r - 97/22. What is the common denominator of w and 47/18?
36
Let a = 3 + -15. Calculate the least common multiple of ((-104)/(-6))/((-8)/a) and 5.
130
Let b = 409 + -387. Calculate the smallest common multiple of 30 and b.
330
Let i = -54/5 + -67/10. Suppose 2*s + 2*t - 278 = 3*s, 3*s - t + 854 = 0. Let k = -507/2 - s. Find the common denominator of k and i.
2
Let i be (-4)/6 - 200/(-3). Suppose -5*q - 4*m = -i, 4*m - 3 - 23 = -q. Let k(l) = -5*l + 6. What is the common denominator of -11/8 and k(q)?
8
Let m(n) = -n**2 - 63*n - 328. Calculate the smallest common multiple of 70 and m(-57).
70
Let k = -15 + 19. Suppose k*o = 47 - 15. Calculate the lowest common multiple of o and 10.
40
Suppose -16162 = -4*l + 17370. Let p = 50417/6 - l. What is the common denominator of p and 105/22?
66
Suppose -9 = 2*y + y. | {
"pile_set_name": "DM Mathematics"
} |
4/5
(3*-1)/(-79 - -80)
-3
((-6)/16)/(3/12)
-3/2
What is (3 + (-10 - (-3 - -1)))/(-1)?
5
Calculate 16/(-100)*(-3)/(-6).
-2/25
Evaluate 119/210 + 2/(-12).
2/5
What is ((-8)/(-2) - 4)*(13 - 12)?
0
What is the value of 2/(-6)*((-848)/(-64) + -11)?
-3/4
(-4)/32 - (-1 + 100/(-32))
4
What is (-6 - 894/(-108)) + (-2)/(-9)?
5/2
What is (1 - 1)/((-15)/(-5) + -2)?
0
What is (-2)/11 + 6/33?
0
What is 46/46*(-1)/5?
-1/5
What is 32/64*(-6)/(-3)?
1
Calculate (-250)/(-65) + (-1 - (-45)/39).
4
Evaluate (-83)/9 + -2 + 11.
-2/9
Calculate ((-14)/70)/(1/(-5)).
1
Evaluate 36/234 - 37/(-13).
3
((-9)/30)/(0 - (-7)/14)
-3/5
16/24 + 5/(-3) - 2
-3
Calculate 28/(-7) - 0/(-1).
-4
Evaluate (-24)/(-108) - (-52)/(-153).
-2/17
What is (-6)/18*(-30)/50?
1/5
What is (-9)/2*248/186?
-6
What is the value of 6/28*(-448)/(-384)?
1/4
What is (6 - 1)*72/(-1980)?
-2/11
What is (-3 - (-11)/((-44)/(-8)))*-4?
4
What is (-8 - -8) + 1*(2 + 2)?
4
Evaluate (-15)/(-10)*((-20)/(-15))/1.
2
What is (10/(4*(-5)/20))/2?
-5
Calculate (-3)/6*-4 - 26/14.
1/7
(-97)/18 + 5 - (-2)/9
-1/6
What is (-1)/(2/8)*3/(-3)?
4
Evaluate (-140)/(-40)*(-3)/(-42).
1/4
What is the value of 9/27*(-2 - 22/(-14))?
-1/7
Calculate ((15/(-6))/5)/(12/16).
-2/3
Calculate ((-2)/(8/(-5)))/((-15)/(-9)).
3/4
Calculate 77/(-22)*1*24/70.
-6/5
What is (124/(-310))/((-6)/(-20))?
-4/3
What is the value of (-4)/(-8) + (-12)/8?
-1
What is the value of (-4)/(-24)*(-4)/6?
-1/9
What is the value of (5/(-30))/((-4)/6)?
1/4
((-14)/3)/(-7)*(-6)/18
-2/9
Calculate 447/2384*(-1 + (-14)/(-6)).
1/4
Evaluate 4/(-78)*-13*(-1)/3.
-2/9
What is 32/18 - (-7 + 9)?
-2/9
(776/64 - 12)/(2/(-6))
-3/8
Evaluate (2/(-10))/(-65 + 64).
1/5
(-1 - -4) + -6*16/12
-5
What is (-22)/8 - 18/(-24)?
-2
What is (155 - 159)*(-7)/4?
7
What is the value of 2/(24/26) + 10/(-60)?
2
What is the value of (-2 - 44/(-18))/(6/(-9))?
-2/3
Evaluate (-80)/(16 - 6) - 4/(-2).
-6
What is -2 + (63/(-12) - -7)?
-1/4
Evaluate (-6)/162*-9 + (-8)/(-3).
3
Calculate (7 - 11)*(-12 + 14).
-8
((-10)/4)/(2/(-4))
5
Evaluate (0 - (2 + (-60)/25))*1.
2/5
Evaluate (-7)/2 - 1/2.
-4
Evaluate 48/27 + -2 - 43/9.
-5
Evaluate 0 + -4 + 13 + -13.
-4
What is ((-44)/(-12) - 3) + 169/39?
5
Evaluate (-6)/14 + (-438)/(-42) + -14.
-4
4/(-10)*(-10)/((-10)/5)
-2
What is the value of (-42)/28*(-100)/54 + -3?
-2/9
Evaluate 2/(-6)*6/((-6)/(-3)).
-1
Calculate 3 + 64/12*(-9)/15.
-1/5
What is (4/(-4))/((-3)/15)?
5
What is the value of 7 + ((-23968)/210)/16?
-2/15
Calculate 7 - (3*-2)/(-2).
4
What is the value of 6 - (0 - 12)/(-6)?
4
Calculate 6/48 - (4095/40)/(-13).
8
(-8)/10 + 86/43
6/5
Calculate (15/(-30))/((-3)/(-6)).
-1
Evaluate 117/(-45) + (-2 - -4).
-3/5
Calculate -10*9/(-990) - 4/22.
-1/11
Calculate ((-10)/75)/((-1)/(-5)).
-2/3
Evaluate 440/(-132) + (2/6 - 1).
-4
(51/34)/(1/(4/3))
2
(-11 - -12) + (-4)/10
3/5
Evaluate (160/(-840))/(2/3).
-2/7
What is (-3)/(-4)*6*8/(-12)?
-3
What is the value of 1*-2 + 8/42*12?
2/7
What is 369/(-36) + 6 - 1/(-4)?
-4
What is the value of (-3)/(-9) + 36/54?
1
1*(-30)/(-24)*4
5
Evaluate (-85)/(-17) + -12 - (-58)/8.
1/4
Calculate (2/8 - 984/224) + 4.
-1/7
5/6 - 9/486*9
2/3
What is the value of 192/(-140) + (-72)/(-90)?
-4/7
What is 6*(-4)/24*4?
-4
(-36)/(-240) - 4/10
-1/4
(3 + -4)*((-12)/4)/3
1
What is (-216)/56 - ((-54)/14 + 4)?
-4
Calculate (-1)/(6 + 212/(-36)).
-9
Evaluate ((-220)/16 - -14)/(-1).
-1/4
What is ((-45)/(-6))/((-6)/(-4))?
5
What is the value of (-2 - (-32)/14)/(16/(-24))?
-3/7
What is the value of -2 + 4 + (-2)/2?
1
Evaluate (2 + (-4)/1)/(12 + 4).
-1/8
(((-9)/(-12))/(-3))/(-1 - -2)
-1/4
Evaluate (-2 - 1)/(-3 - (0 + 0)).
1
What is (-5)/(-20) + 70/(-120)?
-1/3
Calculate -12*1/(-28)*1.
3/7
40/50 - (-78)/15
6
Evaluate ((-830)/(-1245))/(1 - 1 - -8).
1/12
Calculate (-3 + 0 + 4)*-5.
-5
What is 1*(-6)/8*4?
-3
What is the value of 49/14*6/(-42)?
-1/2
((-6)/(-9))/((-4)/48)
-8
Evaluate (-2)/(-6 + (-4)/(-1))*-1.
-1
5 - 3495/663 - (-2)/13
-2/17
(-49)/84 - (-2)/8
-1/3
What is 47/(-77) + (-9 - 707/(-77))?
-3/7
What is 10 - 1 - (-32)/(6 + -14)?
5
(7 + -6)*0*2/(-4)
0
What is the value of 18/(-3) + (6 - 4)?
-4
Evaluate 3/(-42)*-94 + -7.
-2/7
Evaluate (16/(-32))/((-1)/(0 + -1)).
-1/2
((-2)/(-3))/(3/(-18))
-4
What is 6/10*4*(-40)/32?
-3
Evaluate (42/(-50) - -1)/(92/230).
2/5
Evaluate (-48)/(-160)*16/(-6).
-4/5
What is the value of 1 + (-18)/15*1?
-1/5
0/(18/(-36) - (-2)/(-4))
0
4/(-14) - 36/(-273)
-2/13
What is the value of 8/28*(-168)/(-48)?
1
Calculate (35/5)/(25 - 26).
-7
What is ((-24)/(-108))/(8/(-12))?
-1/3
What is the value of 6/(-16) - 3/(-6)?
1/8
Calculate (-1273)/(-247) + 14/(-91).
5
Evaluate 6/4*(-8)/3.
-4
Evaluate -3*10/(-15)*-2.
-4
(-120)/442 + 26/221
-2/13
What is the value of 0 - (-8)/(-70) - 2/(-5)?
2/7
Evaluate ((-148)/(-20) + -7)*(-1 + -14).
-6
What is (1 - (-3)/(-9))*(-2)/(-4)?
1/3
What is the value of ((-290)/(-232))/(4/(-16))?
-5
(-5)/(15/(-2))*(-105)/(-14)
5
((-2)/(-40)*-6)/((-9)/(-6))
-1/5
What is the value of 4/40 - (-6)/15?
1/2
What is 4 + -2 + (-24)/(-3 - -7)?
-4
Calculate -24*(-6)/63 + -2.
2/7
Evaluate (-49 - -50) + 2*(-2 + 1).
-1
Calculate ((-3)/2 + 1)/((-1)/(-8)).
-4
What is the value of (-1)/((-35)/14 - 3)?
2/11
Evaluate 6 + -3 + -7 + 2.
-2
45/(-54)*(-20)/6 + -3
-2/9
Calculate 72/(-154) + ((-52)/91)/(-2).
-2/11
Evaluate (-114)/27 + 2 + 4/18.
-2
Evaluate (-5)/(-20) + (-39)/12.
-3
What is (-10)/(620/14)*(-6)/21?
2/31
What is the value of (-8)/12 + (-1)/(-6)*10?
1
Calculate (-4)/6*12/24*33.
-11
What is the value of (3/((-21)/2))/((-73)/511)?
2
((-240)/8)/5 - -1
-5
Evaluate 3/(-6)*(1 - 2)*-6.
-3
Calculate 27/45*(-70)/84.
-1/2
Calculate (-150)/525*2*(-14)/64.
1/8
((-174)/(-145))/(2/(-10))
-6
What is ((-150)/(-550))/((-1)/(-11))?
3
What is (0 + 2)/(8/16)?
4
Evaluate 3 - ((-103)/21 + 22/(-231)).
8
(8/30*20/(-8))/(-2)
1/3
Evaluate 7*(-36)/(-42) + 5 + -11.
0
What is 2*((-42)/12 - -2)?
-3
Calculate (2/7)/(3/84).
8
What is the value of (-3)/(-4)*(-24)/(-6)?
3
What is the value of (2 + 18/(-8))/(55/(-110))?
1/2
10/(-6) + 4444/(-606)
-9
What is the value of 2/7 + (-7)/49?
1/7
Evaluate 10/50*-1 - (-24)/(-5).
-5
Calculate 1404/(-273) - 2/(-14).
-5
Evaluate (2 + -4)*(-3 + 1).
4
((-24)/(-14))/((-60)/280)
-8
Evaluate 2/6*324/(13 - -5).
6
Evaluate 21/(-7) + (-10)/(-3).
1/3
What is the value of ((-65)/(-39))/(20/12)?
1
104/(-10) - (-34 - -23)
3/5
What is (-3)/28 - -2*1/(-14)?
-1/4
Evaluate (-5)/3*-3 + -2.
3
(-1)/4*5*(-36)/135
1/3
Evaluate (94/235)/(12/5).
1/6
Evaluate (-13 - 252/(-20)) + 2/5.
0
5/1 + (-17 - -15)
3
What is the value of (1/(4/4))/4?
1/4
Calculate (-4 - (-105)/25)/(6 - 5).
1/5
What is the value of 2/(-9) - (-200)/252?
4/7
What is the value of (1 + -4)*15/9?
-5
-12 + 6 - (-24 + 18)
0
What is the value of (-2 - 15/(-5))*(-1)/(-1)?
1
What is (-5*(-2)/(-4))/(-2 + 1)?
5/2
(-2)/70*-10*10/(-4)
-5/7
What is the value of (-2 - -6 - 2)/((-2)/3)?
-3
What is the value of 60/(-45) + (-88)/(-60)?
2/15
What is -4 - (-46)/12 - 24/(-9)?
5/2
What is the value of 2/(-16) - (-3285)/360?
9
Evaluate (72/(-15))/(-3)*(-2)/8.
-2/5
Evaluate 2/(1*(32/(-12) - -3)).
6
Calculate ((-3)/5)/(168/(-15) - -11).
3
Calculate (-3 - 1)*12/24.
-2
Evaluate ((-1)/(-3))/(24/(-16)).
-2/9
1/2*(10 - 40)/5
-3
Calculate ((-12)/(-84))/((-5)/(105/6)).
-1/2
What is the value of (-39)/12 + 3 - 0/2?
-1/4
Evaluate (-1392)/(-580)*((-40)/(-6))/4.
4
Evaluate 3/(5 - (-7)/(210/(-132))).
5
Evaluate 5/((-220)/6)*24/(-18).
2/11
Calculate 50/8*(-8)/(-20).
5/2
What is 3/((-210)/(-145)) + 3/7?
5/2
(-3 - (-45)/18)/(-2)
1/4
Evaluate 435/420 + 6/(-8).
2/7
(-1736)/288 + 7 - 12/16
2/9
Calculate 1 + 2 + 2 + 6/(-2).
2
4*(-2)/10*(-10)/4
2
Evaluate (34/(-9) - (-18)/(-81)) + -1.
-5
What is the value of 162/(-972) + (-4)/3?
-3/2
What is 20/70 + 19*(-1)/42?
-1/6
(0 - 0/(-8)) + 4
4
What is 7 - ((-40)/(-9)*3 + -7)?
2/3
Evaluate (-28)/(-63) - ((-116)/(-72) - 1).
-1/6
What is (-8 - (2 + -3))*28/49?
-4
What is -5 + 7 + -3 + (-7)/(-9)?
-2/9
What is (-3*(-6)/(-9))/9?
-2/9
Calculate (-126)/(-441) + (-34)/(-28).
3/2
What is (28/40)/((-119)/(-68))?
2/5
Calculate (-520)/(-91) + (-15)/21.
5
Evaluate (-4)/(-85)*(-9 + (-130)/(-20)).
-2/17
What is (92/690)/(12/10)?
1/9
Evaluate (-3)/6 - (-18)/(-4).
-5
Evaluate (4/(-3))/((-676)/78).
2/13
((-2)/5)/(((-42)/30)/(-7))
-2
What is 2 + 176/(-70) - (-108)/(-378)?
-4/5
Calculate (29/(-14) + 2)*6.
-3/7
Calculate (-32)/ | {
"pile_set_name": "DM Mathematics"
} |
2)**2*(t - 2)/3
Let j = -9 + 12. Let l(d) = d**3 + 3*d**2 - 7*d - 9. Let g be l(-4). Factor 6*x**j - x**2 - g*x**2 + 42*x**4 - 16*x**4 - 16*x**4.
2*x**2*(x + 1)*(5*x - 2)
Let b = -224/285 - -250/57. Let w(j) be the second derivative of 0 + b*j**2 + 2/5*j**3 - 2*j + 1/60*j**4. Factor w(o).
(o + 6)**2/5
Suppose -8 = 2*w, 0*c - 2*w = 2*c - 26. Let g be 16 + -20 - c*(-2)/6. Suppose -g + 2*h - 1/3*h**2 = 0. What is h?
1, 5
Let k = 1425069977/3237 - 1320727/3. Let a = -40/83 + k. Let 4/13*m + 56/13*m**3 - 10/13*m**4 - 66/13*m**2 + a = 0. What is m?
-2/5, 1, 4
Let o(f) be the second derivative of 38*f + 0*f**2 + 1/9*f**3 - 1/12*f**5 + 1/42*f**7 + 1/36*f**4 + 0 - 1/90*f**6. Determine y, given that o(y) = 0.
-1, -2/3, 0, 1
Let d be 23*(15/5 + 0). Let w = 231 - d. Determine n, given that -158*n**5 + 4*n**3 - 2*n**4 + w*n**5 - 6*n**4 = 0.
0, 1
Factor 1/3*i**4 - 1 + 2*i**3 - 14/3*i**2 + 11/3*i - 1/3*i**5.
-(i - 1)**4*(i + 3)/3
Let s be (-72)/(-42) - 10/(-35). Suppose -18 = -4*y + 3*n, -4*y + 3*n - 7*n = -4. Find z such that -2*z**s - y*z + 5*z**2 + 4*z - 2*z**2 = 0.
-1, 0
Let w(g) be the first derivative of 1/32*g**4 + 1/40*g**6 - 1/16*g**5 - 13/2*g**2 + 2 + 0*g**3 + 0*g. Let a(y) be the second derivative of w(y). Factor a(n).
3*n*(n - 1)*(4*n - 1)/4
Let a be (12/(-16))/(30/24)*-5. Factor 2388*x**5 - a*x**3 + 0*x**3 - 2391*x**5 - 6*x**4 + 0*x**3.
-3*x**3*(x + 1)**2
Let i be (-114 + (-116400)/(-1020))/((-2)/(-22)). Find a such that 2/17*a**4 - 8/17 - 18/17*a**2 - i*a - 2/17*a**3 = 0.
-1, 4
Let a = 33 - -41. Factor -6*t**3 + 78 - a + 4*t - 4*t**2 + 2*t**3.
-4*(t - 1)*(t + 1)**2
Factor -3/2*r**2 + 513 + 1023/2*r.
-3*(r - 342)*(r + 1)/2
Factor 2/5*h**4 - 4/5*h - 8/5*h**2 + 1/5*h**5 + 0 - 3/5*h**3.
h*(h - 2)*(h + 1)**2*(h + 2)/5
Let g(u) be the third derivative of -u**6/40 + 3*u**5/2 - 119*u**4/8 - 75*u**3 - 942*u**2. Suppose g(q) = 0. What is q?
-1, 6, 25
Let l(f) be the first derivative of -3*f**4/16 - 285*f**3/4 + 4922. Let l(m) = 0. What is m?
-285, 0
Let j(w) be the third derivative of w**8/392 + 74*w**7/735 + 59*w**6/140 + w**5/15 - 15*w**4/7 - 88*w**3/21 + 30*w**2 - 43. Solve j(l) = 0.
-22, -2, -1, -2/3, 1
Suppose 268 = 3*o - 5*f, -2*o + 188 = 4*f - 5*f. Factor 2*z + 313*z**2 - o*z**2 - 111*z**2 - 10 - 2*z**3 - 96*z**2 + 0*z**3.
-2*(z - 5)*(z - 1)*(z + 1)
Let b(u) = 43*u - 1200. Let d be b(28). Let z(y) be the third derivative of 2/21*y**7 + 0 + 0*y - y**2 - 3*y**d + 0*y**3 + 11/5*y**5 + 14/15*y**6. Factor z(x).
4*x*(x + 3)**2*(5*x - 2)
Let s(x) be the first derivative of 1 + 25*x**3 - 27/4*x**4 - 104/3*x**2 + 64/3*x. Let s(v) = 0. Calculate v.
8/9, 1
What is j in 912*j**2 - 5 + 445 - 14*j**4 - 6*j**4 + 180 + 124*j**3 + 1520*j + 84 = 0?
-2, -4/5, 11
Let c = 3571/155 + -3447/155. Factor c*f**2 + 24/5*f - 28/5.
4*(f - 1)*(f + 7)/5
Let v(i) be the third derivative of 2*i**2 + 1/15*i**5 + 2/3*i**4 + 0*i**3 + 0*i - 2/105*i**7 - 2/15*i**6 - 4. Factor v(r).
-4*r*(r - 1)*(r + 1)*(r + 4)
Let b(r) be the third derivative of r**6/360 + r**5/36 - r**4/72 - 5*r**3/18 - 1799*r**2. Determine m, given that b(m) = 0.
-5, -1, 1
Suppose 5 = l - 0. Suppose 0 = 5*z - l - 10. Factor 2*f**4 + 0*f**4 + 0*f**4 + z*f**4.
5*f**4
Suppose 0 = -5*b + 4*r + 25142, 2*r + 20116 = 4*b - 0*r. Let u be b/(-850) - -13 - (-6)/51. Factor -2/5*p**2 - 162/5 - u*p.
-2*(p + 9)**2/5
Let r(a) = 8*a**2 + 402*a + 700. Let d(u) = -18*u**2 - 805*u - 1450. Let k(j) = -6*d(j) - 13*r(j). Factor k(i).
4*(i - 100)*(i + 1)
Let i be ((-17992)/(-10380))/((-2)/10) - (0 - 17). Determine p so that -i*p + 8 + 1/3*p**2 = 0.
1, 24
Let v(s) = -8*s**2 - 1176*s - 1183. Let g(n) = 10*n**2 + 1172*n + 1182. Let i(k) = 3*g(k) + 4*v(k). Factor i(a).
-2*(a + 1)*(a + 593)
Let g = 6573091/3 + -2191029. Suppose -5*z + 22 = -y, -2*y - 2*z - 3*z = -31. Suppose 0*u + 0 - g*u**2 + 2/9*u**y = 0. What is u?
0, 6
Let r be (-6)/45*(25 - 15)*-4. Factor -16 + 4*f**2 - 4/3*f**3 + r*f.
-4*(f - 3)*(f - 2)*(f + 2)/3
Suppose -5*d + 3*v = 2*v - 11, -7 = -4*d - v. Suppose 0 = 175*f + 1086*f. Suppose -2/5*g + f - 2/15*g**d = 0. What is g?
-3, 0
Let j(w) = w**3 + 4*w**2 - 3*w - 7. Let k be j(-4). Factor 9*n**2 + k*n**3 + 30*n**2 - 4*n**2 - 9 - 26 - 34*n + 29*n.
5*(n - 1)*(n + 1)*(n + 7)
Let o = -96 - -99. Suppose p + 6 = t, 4*t - o*p + 2 = 23. Factor -27/7*n**2 - 6/7 - 3/7*n**4 - 15/7*n**t - 3*n.
-3*(n + 1)**3*(n + 2)/7
Let m(d) be the first derivative of 3/4*d**4 + 76 + 4050*d**2 + 90*d**3 + 81000*d. Factor m(p).
3*(p + 30)**3
Factor -1260 + 32*i**2 + 3*i**2 - 2*i**2 - 1263*i - 36*i**2.
-3*(i + 1)*(i + 420)
Suppose 3*s - o = 48, -2*o + 5*o = 4*s - 69. Suppose 3*z - 32 + 7 = u, -s = -2*z - u. Solve 5*x**2 - 12*x + 2*x**3 + 4*x + 5*x**3 + 4 - z*x**3 = 0 for x.
1, 2
Let s be 342/36 + -1 + -8. Let q(u) be the second derivative of 1/20*u**5 + 0 - 1/4*u**4 - 26*u + 1/2*u**3 - s*u**2. Factor q(g).
(g - 1)**3
Let l = -6/69035 - -690416/759385. Find g such that 2/11*g**4 + l*g**3 - 12/11 - 10/11*g + 10/11*g**2 = 0.
-3, -2, -1, 1
Factor 936 + 8010*x + 212*x**2 + 7554*x + 7625*x - 22403*x + 18*x**3.
2*(x + 3)**2*(9*x + 52)
Let c be -4*2/(-12) + (-6)/9. Let a be (c/(-2)*(-12)/(-24))/(-1). Factor 6 + a - j**2 - 2*j + 3*j.
-(j - 3)*(j + 2)
Let u(k) = 15*k**3 + 831*k**2 + 1536*k + 33. Let h(a) = a**3 + 52*a**2 + 96*a + 2. Let o(f) = 33*h(f) - 2*u(f). Determine p, given that o(p) = 0.
-16, -2, 0
Suppose 6*z - 10*z + 3*p + 144 = 0, 4*p = -16. Factor -72*h**2 - 13*h**3 - 3 + z*h**3 + 28*h**3 + 27*h.
3*(h - 1)*(4*h - 1)**2
Let o(a) be the first derivative of -3*a**5/5 - 87*a**4/8 - 37*a**3/2 + 39*a**2/2 + 4419. Find m such that o(m) = 0.
-13, -2, 0, 1/2
Factor 1/8*m**5 - 567/8*m + 243/4 - 9/4*m**3 - 3/4*m**4 + 27*m**2.
(m - 3)**4*(m + 6)/8
Suppose 0 = -18*g + 9 + 27. What is j in -4*j**2 - 4*j**3 + 76 - 38 - 30 - 4*j**g + 4*j = 0?
-2, -1, 1
Let i be 8/(-18) - (-248)/72. Suppose i - 15 = -6*b. Factor 8/5*p**3 - 24/5*p - 4/5*p**b + 2/5*p**4 + 18/5.
2*(p - 1)**2*(p + 3)**2/5
Let z(x) be the third derivative of x**7/420 + x**6/60 - 3*x**5/40 - 3*x**4/4 + 141*x**2. Let z(a) = 0. Calculate a.
-4, -3, 0, 3
Factor 2/3*m**2 - 3512/3 - 584*m.
2*(m - 878)*(m + 2)/3
Let u(y) be the first derivative of y**7/3360 + y**6/72 + 5*y**3 + 70. Let o(c) be the third derivative of u(c). Determine v so that o(v) = 0.
-20, 0
Let g(c) = c + 14*c**2 + 14*c + c**3 - c**3 - c**3. Let y be g(15). Determine k so that y + 3*k**3 - 3*k + 1 - 3*k**2 - 2 + 4 = 0.
-1, 1
Let y be (-30)/4*(-256)/48. Let t = y - 37. Factor -20*u**4 - 5*u**4 - 95*u**t + 20*u - 40*u**2 + 12*u**4 - 22*u**4.
-5*u*(u + 1)*(u + 2)*(7*u - 2)
Factor -167*d - 25 - 171*d - 3*d**2 - 8 + 526*d - 152*d.
-3*(d - 11)*(d - 1)
Let j = -640 - -1023. Let l = 385 - j. Factor -1/8 - 1/8*b**4 + 1/4*b**l + 0*b**3 + 0*b.
-(b - 1)**2*(b + 1)**2/8
Let g(o) be the second derivative of -o**4/18 + 40*o**3/3 + 956*o. Suppose g(q) = 0. What is q?
0, 120
Let x be 18/6 + (6/(-3) - -1). Let k(b) be the third derivative of -1/2*b**4 + 0 - x*b**2 + 1/15*b**5 + 0*b + 4/3*b**3. Factor k(o).
4*(o - 2)*(o - 1)
Let w(o) = -23*o**2 + 3*o - 16. Let i(k) = 3*k**2 - 3*k. Let y(d) = -7*i(d) - w(d). Factor y(n).
2*(n + 1)*(n + 8)
Solve 25 + 173/2*d - 7/2*d**2 = 0 for d.
-2/7, 25
Suppose 2*t - 12 = -8. Suppose 14 - 18 = -t*k. Let -4*i + 2 - 7 + 3 - k*i**2 = 0. What is i?
-1
Let l(k) = -1311*k - 19663. Let a be l(-15). What is h in 6/5*h + 1/5*h**a + 1 = 0?
-5, -1
Let t(l) = -1777*l - 26653. Let s be t(-15). Factor 0*n**3 + 0*n + 0 - 2/7*n**4 + 0*n**s.
-2*n**4/7
Let r(d) be the second derivative of d**5/20 - 53*d**4/36 + 122*d**3/9 - 70*d**2/3 - 178*d + 3. Suppose r(b) = 0. Calculate b.
2/3, 7, 10
Let j = -97213 + 97215. Solve -5/2*l + 1/4*l**j - 11/4 = 0.
-1, 11
Let i(a) be the first derivative of -221 + 27/8*a**4 - 65/2*a**3 - 825/8*a**2 + 33/20*a**5 + 1125/4*a + 1/8*a**6. Suppose i(t) = 0. What is t?
-5, 1, 3
Suppose -n - 5 + 4 = 0, -5*i - 4*n = 1439. Let g = 287 + i. Suppose 2/5*v**3 + 0*v + g*v**2 - 4/5*v**4 + 2/5*v**5 + 0 = 0. What is v?
0, 1
Let o(n) = -n**3 + 16*n**2 + 11*n - 78. Let a be o(14). Suppose -36*b + a = -108. Let 20/3*u**2 + 0 - 2/3*u**5 - 20/3*u**4 - b*u**3 + 50/3*u = 0. Calculate u.
-5, -1, 0, 1
Let x(v) be the first derivative of 20*v**3/3 - 3484*v**2 + 2784*v - 1229. Factor x(n).
4*(n - 348)*(5*n - 2)
Suppose 5*t = -2*y + 5, 32*y - 35*y | {
"pile_set_name": "DM Mathematics"
} |
684.1?
-716209.2
-725591.5*-2
1451183
2641*-20.124
-53147.484
What is the product of -0.03 and -166813812?
5004414.36
22 * 51697289
1137340358
Work out -5520.91 * 205.
-1131786.55
Product of -78.6534 and -0.1.
7.86534
Multiply 1477497 and -0.6.
-886498.2
Calculate -47414*-0.1675.
7941.845
Product of -124020 and -1051.
130345020
Work out -27413 * 942.
-25823046
Calculate -297691*0.06.
-17861.46
Calculate 0.355238923*-2.
-0.710477846
2.111 * -6214
-13117.754
What is the product of -6962 and 440.9?
-3069545.8
Multiply 181175 and 0.1346.
24386.155
-0.43549 * -80
34.8392
Work out 4 * -0.01732764.
-0.06931056
5 times -5.816802
-29.08401
Product of 8925296 and 0.3.
2677588.8
What is 35 times -42587?
-1490545
-6*950820
-5704920
Product of 15697.2 and -351.
-5509717.2
Calculate -104*-4794457.
498623528
-18 times -7250966
130517388
-652.8107 times -33
21542.7531
Work out -0.02 * -57.927589.
1.15855178
Work out 2.581 * -27285.
-70422.585
1304 times 5858.6
7639614.4
What is the product of -67965.02 and -11.1?
754411.722
-25.5019 * 1.19
-30.347261
20131398 * 3
60394194
-0.358*-12802
4583.116
-69.5 times 2414.52
-167809.14
Work out 0.5 * -800845.
-400422.5
Work out -3341 * 1160.
-3875560
Calculate -347333032*0.4.
-138933212.8
-29254 times -31
906874
-45.95 times -20
919
-1.461626 times 173
-252.861298
What is the product of 158 and -7426.73?
-1173423.34
Work out 30797.9 * 0.28.
8623.412
193039 times -153
-29534967
What is 16.7 times 1652.23?
27592.241
Product of 3 and -1.0197242.
-3.0591726
What is the product of -9610 and 1085?
-10426850
What is the product of -1.406 and -42226.7?
59370.7402
Multiply 0.23 and 0.520374.
0.11968602
Product of -1.43074 and -0.011.
0.01573814
Calculate -0.4*0.0100917.
-0.00403668
Multiply -1043 and 5691.
-5935713
What is the product of -2 and -269.0585?
538.117
-18355.3 times -0.7691
14117.06123
Multiply 6685377 and 3.
20056131
118*0.00552727
0.65221786
Multiply 26928425 and -0.08.
-2154274
-3 times 8329028
-24987084
What is the product of -0.08 and -611455?
48916.4
3300.864*-33
-108928.512
-1211587 times -0.01
12115.87
7047 times -0.1928
-1358.6616
Work out -118 * 1765.986.
-208386.348
-3*91691.7
-275075.1
Product of 44609222 and 0.5.
22304611
Work out 10818915 * 0.3.
3245674.5
Product of 0.3291625 and 0.4.
0.131665
Multiply 646.979 and -0.3.
-194.0937
-18.4 * -11417.3
210078.32
Product of 4 and -68452.51.
-273810.04
What is the product of -3.163088 and -0.004?
0.012652352
Calculate 2*46452.
92904
-3065756 times 0.052
-159419.312
Work out 457 * 1513.7.
691760.9
-7619 * 11
-83809
641.05874*0.3
192.317622
Work out 0.4225 * -153.215.
-64.7333375
What is 131469 times 4.7?
617904.3
4.9*7.3168
35.85232
Calculate -0.5067*-0.17343.
0.087876981
Calculate 0.2614*80940.
21157.716
Multiply -4135 and -0.14105.
583.24175
200779.721 * 5
1003898.605
Product of 15.737497 and -0.2.
-3.1474994
What is -637 times -2.448?
1559.376
-56 * -58811
3293416
0.4*201258
80503.2
Work out -14 * 270292.
-3784088
12613684*-8
-100909472
-0.008 times 0.009389
-0.000075112
9934.099 times -64
-635782.336
Multiply 485.28 and 537.
260595.36
-1.2342 * -0.0961
0.11860662
Work out -4070 * -424.
1725680
-810.7 * 4100
-3323870
-2053.4*7643
-15694136.2
460417*-23
-10589591
Calculate 1728*-9842.
-17006976
What is the product of 0.2 and -58336152?
-11667230.4
-11.522637 times 0.5
-5.7613185
0*-5976911
0
What is 368 times 4712?
1734016
Work out -535 * -96752.
51762320
72 * 393623
28340856
Multiply -759.14 and 689.
-523047.46
-1327 times 0.4672
-619.9744
Multiply 423 and -204701.
-86588523
Calculate -19536*-2729.
53313744
-4798964*-10
47989640
-8492627*-0.3
2547788.1
Work out 1.4021 * 0.25.
0.350525
What is -163470 times 0?
0
Product of -1414431 and -7.
9901017
0.00833624 times 0.08
0.0006668992
What is the product of -22.2 and 6103.542?
-135498.6324
53 * 837198
44371494
Calculate 0.0921*-4.273.
-0.3935433
What is the product of 0.206 and -28.1923?
-5.8076138
-3349551.6 * -6
20097309.6
Work out -701.576 * -0.128.
89.801728
What is the product of -16 and -719296?
11508736
Multiply -838 and 0.64115.
-537.2837
Multiply -19 and -236.166.
4487.154
Calculate 1.2*13985853.
16783023.6
Calculate -3508972*54.
-189484488
What is 33.421809 times 0.5?
16.7109045
Calculate -0.27*1556.07.
-420.1389
Calculate -1.1*455472.
-501019.2
Multiply 0.29 and 3558.05.
1031.8345
What is -31948.485 times -0.2?
6389.697
-25140 * 9581
-240866340
What is -56 times -85.1749?
4769.7944
What is the product of 9.9 and -954?
-9444.6
What is the product of -2841781 and -443?
1258908983
What is the product of -14.219 and 1.66?
-23.60354
-32254*1.3804
-44523.4216
Product of 32 and 514592.
16466944
What is the product of -5043 and -0.04924?
248.31732
Multiply 0.2696 and -18057.
-4868.1672
83561.68 * -1.1
-91917.848
0.8 times 47611.9
38089.52
Product of -0.17 and 0.21389813.
-0.0363626821
Multiply -4696303 and -0.7.
3287412.1
Multiply 273 and 438876.
119813148
Calculate -4751*-20174.
95846674
What is the product of 36 and 7497.333?
269903.988
Multiply 0.06819 and 1987.
135.49353
What is 4 times 800269?
3201076
-0.44 * 2.31453
-1.0183932
20 times 481.157
9623.14
Work out 0 * 536.85809.
0
1270*-0.0369
-46.863
Multiply -13 and 7219894.6.
-93858629.8
-5942961.9*-4
23771847.6
Work out 273 * 234908.
64129884
What is the product of 4 and -274869112?
-1099476448
44743 * -5789
-259017227
What is -38 times -0.200002?
7.600076
Multiply -2 and -0.02496764.
0.04993528
120367*-16.64
-2002906.88
Multiply 1375 and 39.069.
53719.875
2 * 20946258
41892516
-1.2*0.08179189
-0.098150268
Multiply 158.478 and 8480.
1343893.44
Calculate -5680*-0.009513.
54.03384
-11.5083 * 0.027
-0.3107241
-35391979*-2
70783958
Product of 0.14 and 1160712.
162499.68
-16.64*1396
-23229.44
-1*-861684.2
861684.2
What is the product of -130943138 and -0.4?
52377255.2
109921 times -76.8
-8441932.8
Work out -5 * -185669.26.
928346.3
What is the product of 55066 and -199?
-10958134
-0.02363*5655
-133.62765
Multiply -385506 and -6.53.
2517354.18
What is the product of -0.0351 and -26.99?
0.947349
42*-12.4927
-524.6934
Product of 3.62 and -63159.
-228635.58
-15 * 665139
-9977085
What is 5371 times 1210?
6498910
Work out 0.23730592 * -5.
-1.1865296
Product of -0.058 and 34324.1.
-1990.7978
Calculate 978*112494.
110019132
87 * 0.0400879
3.4876473
What is -7836 times 203.04?
-1591021.44
-6496409 * -0.6
3897845.4
Product of 10814224 and 0.1.
1081422.4
Calculate 2*80457079.
160914158
Calculate -976609.17*0.4.
-390643.668
Work out 5545.5 * -1668.
-9249894
Product of -625.494 and -0.11.
68.80434
21609 times 1513
32694417
Calculate -0.163667*-13.
2.127671
671.4 times 555
372627
What is -102749.2 times -1.25?
128436.5
Calculate -1790*-93163.
166761770
What is the product of -22686719 and 2?
-45373438
What is the product of -3 and 10.2567724?
-30.7703172
Calculate -12879442*0.065.
-837163.73
What is 2401.13 times 112?
268926.56
-0.283762 times 126
-35.754012
Calculate -0.0691*-72021.
4976.6511
6814500*-0.5
-3407250
What is the product of -384.809 and 344?
-132374.296
What is -18186252 times -0.1?
1818625.2
Calculate -1*-1567.593.
1567.593
Calculate -4.605*288.4.
-1328.082
5111935 times -7.9
-40384286.5
Product of 0.07 and 72189324.
5053252.68
Calculate 2.7*-269.74.
-728.298
261 * 88.811
23179.671
Multiply -26.2 and 1.3259.
-34.73858
What is the product of 0.13 and 1656153?
215299.89
Calculate -572*8077.
-4620044
Multiply -323 and -3394.
1096262
Multiply -1377.391 and 0.17.
-234.15647
0.9 times 273.7183
246.34647
What is the product of -4735 and -24.69?
116907.15
Multiply -2 and 2329.16152.
-4658.32304
What is the product of -417312 and -0.091?
37975.392
What is the product of 112 and 8027?
899024
Multiply 1 and -241566973.
-241566973
1447.8114 * 0.1
144.78114
Multiply 0.2 and -458479.9.
-91695.98
Work out -57.8 * -24264.
1402459.2
Product of 39 and 28.46745.
1110.23055
-2042418 times -16
32678688
Product of 0.165 and -2211259.
-364857.735
Work out -106 * -43852.4.
4648354.4
What is -83944 times 15?
-1259160
What is -0.2 times -60905727?
12181145.4
529257.63 * -2
-1058515.26
What is 1 times -49.035474?
-49.035474
Work out -5.7 * -14246.07.
81202.599
Multiply 58003481 and -1.
-58003481
Multiply 1 and 1091.78152.
1091.78152
3080.8 * -0.9985
-3076.1788
-0.123 * 2738843
-3 | {
"pile_set_name": "DM Mathematics"
} |
5 (e) -0.032
e
Which is the third biggest value? (a) -7 (b) -0.6 (c) 0.5 (d) 16 (e) 1/4 (f) -496
e
What is the seventh smallest value in -1/6, -3, -358.7, 0.3, -0.4, 7/30, 5/4?
5/4
Which is the second smallest value? (a) 26 (b) 15.3 (c) 11/52
b
What is the third smallest value in -1, -1.981, -215?
-1
Which is the fourth biggest value? (a) 3 (b) 2/7 (c) 0.36 (d) -0.4 (e) -20.7 (f) 5/4 (g) 36
c
What is the second smallest value in -0.1, -0.3, -1, -23646001?
-1
Which is the fifth biggest value? (a) 2 (b) -2/3425 (c) -14 (d) -3 (e) -1/3 (f) 1
d
Which is the fourth smallest value? (a) -234 (b) 4 (c) 59166 (d) -5
c
Which is the second biggest value? (a) 64 (b) -2.9 (c) 3/5 (d) -0.4 (e) -1/34 (f) -0.2
c
Which is the second biggest value? (a) -3/57703 (b) 4/7 (c) -23/4 (d) 11
b
What is the fourth smallest value in 99, -1, 1/6, 169, -0.5?
99
Which is the sixth biggest value? (a) 4752 (b) 4/3 (c) -0.16 (d) -0.6 (e) -5/2 (f) -6
f
Which is the second biggest value? (a) -11370 (b) -0.1 (c) 0.13 (d) 1 (e) 1/6 (f) 0.2
f
What is the third smallest value in 0, 5, 964.5965?
964.5965
What is the fourth biggest value in -1/2, -2/9, 43, -5, 0.3, 23?
-2/9
What is the sixth biggest value in 0.2, -5/13, 1, -3, 19, 1/8?
-3
Which is the fourth biggest value? (a) -38 (b) 0.022 (c) 0.02 (d) 0.5 (e) 2 (f) 3 (g) -2/7
b
What is the fourth biggest value in -3, -12/11, -261, -54?
-261
What is the fifth biggest value in 5, 38503, -0.23, 1/5, 28?
-0.23
Which is the sixth biggest value? (a) 2/9 (b) 7/4 (c) 3/7 (d) 2 (e) 0.4 (f) 76 (g) 8
e
Which is the fifth smallest value? (a) 13 (b) 2 (c) -5 (d) -0.09 (e) 1 (f) -2832
b
What is the smallest value in -4, 4, 0.24559, -0.8, 42?
-4
What is the second biggest value in -4, 300/119, 883?
300/119
Which is the second biggest value? (a) -6 (b) -4 (c) 199
b
Which is the second biggest value? (a) -30 (b) 5/11 (c) -131133
a
What is the smallest value in 1.2, 8/21, 4/269?
4/269
Which is the smallest value? (a) 0.16 (b) 1/5 (c) -7/4 (d) -0.2 (e) -1/11 (f) 193
c
Which is the smallest value? (a) -2/51 (b) 3/10 (c) 60.41 (d) -2/9
d
What is the seventh biggest value in 3/2, -1, -2/1231, -6/5, 0.1, 2/27, -15?
-15
Which is the third smallest value? (a) 9 (b) -3 (c) -114.665
a
What is the fifth biggest value in 7, -15, 2/11, -11.9, 1.56?
-15
Which is the sixth smallest value? (a) -0.4 (b) -0.2 (c) -472 (d) 22 (e) 0.4 (f) -2/7
d
What is the third smallest value in 0.5, -0.284, -2/15, -0.4, -0.02, -3, 0.3?
-0.284
What is the fifth biggest value in 1, 321, -3.3, -1756, 1/4?
-1756
Which is the biggest value? (a) 13 (b) -55 (c) -38/3 (d) 9
a
Which is the third smallest value? (a) -28 (b) 1139 (c) -7
b
What is the second biggest value in 1.384, 1, 220, -0.4?
1.384
Which is the fourth smallest value? (a) -1 (b) 0.0117112 (c) -7 (d) 3
d
Which is the second smallest value? (a) 6015 (b) 3.93 (c) 0.4 (d) -4/9 (e) 3
c
What is the second biggest value in -3, 0.3, -2/11, 1932.5, 1.1?
1.1
What is the smallest value in 172, 31/3, 2/3, -1/611, 4?
-1/611
What is the smallest value in -3, 34070981, -4, 0.4?
-4
Which is the third biggest value? (a) -0.5 (b) 450 (c) -1.852 (d) 1/12
a
What is the sixth biggest value in 2/3, 21, -1, 0.04, -1/2, 2, 3?
-1/2
What is the second biggest value in -1, -30/19, -19/598?
-1
What is the third biggest value in 0.5, -834903, 4?
-834903
Which is the third biggest value? (a) 3 (b) -8/3 (c) 15 (d) 10 (e) -5 (f) 1
a
What is the smallest value in 174, -4, -0.4, 4/3, 2, -3/11, 5?
-4
What is the smallest value in 3/4, -2/5, 25, 129?
-2/5
Which is the fifth biggest value? (a) 101 (b) -0.07 (c) 3/7 (d) -0.063 (e) -420
e
What is the fifth biggest value in -4, -0.3, -6, 0.3, -2/9, 43/24?
-4
Which is the biggest value? (a) 0.2 (b) 2/8188699 (c) 5
c
Which is the third biggest value? (a) 447 (b) -19 (c) 9 (d) 0 (e) -2/13 (f) -5 (g) 0.1
g
Which is the third smallest value? (a) -0.2 (b) -0.5 (c) 2/15 (d) 2 (e) -2.1 (f) -1/62 (g) 4
a
Which is the fourth biggest value? (a) 3 (b) 3/4 (c) 0.85 (d) -4 (e) 433
b
What is the third smallest value in -1/4, -3/5, 23063, -66?
-1/4
What is the biggest value in -8, -0.2, -16, -1, 8/7, 1/4?
8/7
Which is the fourth smallest value? (a) 5 (b) 205604.4 (c) -5 (d) 0.3
b
What is the smallest value in -19, 299, -5.556, 3, -1?
-19
What is the third biggest value in -1/3, -0.4, 0.4, -5, 82, -31218?
-1/3
Which is the third biggest value? (a) 6/11 (b) -4 (c) 15/49789532
b
What is the biggest value in 1/2, 35557, -0.7, -0.5, 0.32?
35557
What is the fourth smallest value in 2/15, -0.13, -9, 51337?
51337
Which is the smallest value? (a) -0.09 (b) 2/9 (c) -3 (d) -0.5 (e) 24 (f) -480
f
Which is the smallest value? (a) 5 (b) 2/7 (c) -3/8215
c
Which is the smallest value? (a) -0.16 (b) -0.5 (c) -17 (d) 44 (e) -1 (f) -7 (g) -0.2
c
What is the biggest value in -0.5, -0.6, -0.08, 3, 348, -3?
348
What is the fifth smallest value in 5, 2366, 6883, 2/7, -0.1?
6883
Which is the second smallest value? (a) -0.1 (b) -1/9 (c) -5 (d) -1951444
c
Which is the second smallest value? (a) -13/6 (b) -5 (c) -39 (d) 37 (e) 7
b
What is the biggest value in 0.3, -0.4, 36, 0.015, -2345?
36
Which is the second biggest value? (a) 5/7 (b) 11060 (c) 0.1 (d) 0.0308
a
Which is the biggest value? (a) -0.2 (b) -0.5 (c) 41 (d) -3.3 (e) 2/7 (f) -99 (g) -2
c
Which is the biggest value? (a) 7.68 (b) -1/5 (c) 0 (d) -18 (e) 5
a
What is the third biggest value in -0.1, 23, 45/1079?
-0.1
What is the third biggest value in 3, -56, 3/2, 0.1, 4, 2/5, 5?
3
Which is the second biggest value? (a) -0.4 (b) -99 (c) 12.91
a
What is the fifth biggest value in -2/3, -0.4, -1/10, 5, 2/19341?
-2/3
What is the fourth smallest value in -7, 1.1, -1/3, 3658, 13?
13
What is the third smallest value in -4/5, 19, -7/37013, -3, -7?
-4/5
What is the fourth smallest value in -57, -0.3, 202, 5, 21?
21
What is the smallest value in -171, 0.5, 4, 3, -500, 5?
-500
Which is the fifth smallest value? (a) 5 (b) -3/14 (c) -2670 (d) 63 (e) -4/7 (f) 0.3 (g) -5
f
What is the sixth smallest value in 2, -4/3, 3, -65, -14, 5, -0.06?
3
What is the third smallest value in -0.039, 6, -914/21?
6
What is the biggest value in 117, -505.7, -0.39?
117
Which is the fifth biggest value? (a) 55909 (b) -3/7 (c) 3/4 (d) -1 (e) 0.2 (f) 8
b
Which is the fourth biggest value? (a) 1 (b) -10028/7 (c) 4 (d) -0.17 (e) -0.05 (f) -1/3
d
What is the third smallest value in 0.1, -101, 6796?
6796
What is the sixth smallest value in -4, -3, -2/223, -1/4, 8, -0.32, -5?
-2/223
What is the biggest value in 14, -1/6, 2/11, -169/9, 3/22?
14
What is the third smallest value in -75, -6/131, 10, -19/7?
-6/131
Which is the biggest value? (a) -2 (b) 5 (c) -35.8422 (d) 16
d
What is the biggest value in 19, -5, -3/22, 0.07, -2, 356, 1?
356
Which is the third biggest value? (a) 2 (b) -20 (c) -5/4 (d) 241141
c
Which is the third smallest value? (a) -9 (b) 1/4 (c) -34 (d) 1 (e) 31 (f) -0.4
f
Which is the fourth biggest value? (a) -1.3 (b) 1 (c) 2/9 (d) -0.35 (e) 0.06 (f) 0 (g) -1/12
f
What is the second biggest value in 6.3, 0.5, 1, 5, 855, -0.5?
6.3
Which is the second smallest value? (a) -2/13 (b) 0 (c) 788.921 (d) 0.2
b
Which is the second smallest value? (a) -1.4 (b) 51 (c) -4025
a
What is the fourth smallest value in -0.2, 53/2, 5, -3/2, -1/8, 105/2?
5
What is the smallest value in 25, -5, -9, 2?
-9
Which is the second biggest value? (a) 5 (b) -3.2 (c) 2548.5 (d) -0.1
a
Which is the second smallest value? (a) 39866 (b) -468 (c) -1
c
Which is the smallest value? (a) -2 (b) 1/2 (c) 16 (d) -0.2 (e) 0.0306
a
Which is the smallest value? (a) -140 (b) 1.10799 (c) 2
a
Which is the biggest value? (a) -0.1 (b) -5 (c) -1/13 (d) 30 (e) 20
d
What is the third smallest value in -2315, -2, 90, -4?
-2
Which is the second biggest value? (a) 141 (b) 46 (c) 2.89
b
Which is the fourth biggest value? (a) 8 (b) 6 (c) 0.1 (d) 14 (e) 92
b
What is the second smallest value in -1/3, -9.95, -2/3, -1, -3, -5/7, -1/2?
-3
Which is the second biggest value? (a) -192 (b) -0.5 (c) 6.3 (d) -1/6 (e | {
"pile_set_name": "DM Mathematics"
} |
(-2)*(-26 + -2) and 20.
140
Calculate the common denominator of -41/20 and 745/84 + 0 + 12/(-42).
60
Let f be (2/15)/(109/9). Let q = f + -62711/3270. Find the common denominator of q and ((-3)/(-3))/(112/(-518)).
24
Calculate the common denominator of 25/3 and 150/154 + (-51)/119.
33
Let p = 1246 + -10009/8. Find the common denominator of -57/16 and p.
16
Suppose 5*g + 5*l - 330 = 0, 5*g - 217 = 3*l + 137. Suppose g = d - 4*d. Let m = 41 + d. Calculate the least common multiple of 8 and m.
72
Let t(d) = 2*d - 12. Let m be t(8). Suppose -m*a + 16 + 4 = 0. What is the least common multiple of 2 and a?
10
Let z = -232417/94860 + 1/9486. What is the common denominator of 1/12*220/(-6) and z?
180
Calculate the least common multiple of (-1)/3 + 28/12 and (4/6)/(2/15).
10
Let f be -2 + (2 - 0) + 5. Suppose 96 = f*k + 36. Let i = 31 - 17. Calculate the least common multiple of k and i.
84
Suppose 4*x - 5*a - 65 = 0, 0 = 5*x - 4*a - 59 - 11. Calculate the lowest common multiple of x and 24.
120
Let q(b) = -b**2 - 5*b + 6. Let y be q(-5). Suppose 0 = y*h - h - 5, 3*h = -i + 2. Let c = 0 - i. Calculate the least common multiple of 3 and c.
3
Suppose -3*h + 259 = 2*g - g, -h - g + 83 = 0. Let z = -7069/25 + 19511/100. Let f = h + z. Calculate the common denominator of f and 101/18.
180
Let t = -10062 - -744663/74. What is the common denominator of t and 73/16?
592
Calculate the common denominator of 2/(-88)*-10 + 3 and 77/2.
22
Let c = -1 - -2. Suppose 2*f + c = 3*y - 2*y, 5*y - 11 = 4*f. Let j = 7 - f. What is the least common multiple of 6 and j?
6
Let h = 20 - 11. What is the common denominator of (-34)/10 - (-11 + h) and -58/5?
5
Let f be (-8)/10*(-1 + -4). Suppose -f*m - 8 + 24 = 0. Suppose -m*v - 56 = -8*v. What is the least common multiple of 4 and v?
28
Let k(s) = -s**2 - 26*s - 42. What is the smallest common multiple of k(-23) and 117?
351
Let r(h) = -1198*h - 2. Let b be r(-1). Let m = -103811/2 - -50732. Let f = m + b. Find the common denominator of 37/10 and f.
10
Let k = -97 + 295/3. Let y = -2/18847 - -9894683/75388. Let f = -130 + y. Find the common denominator of k and f.
12
Suppose 2*w + 38 = 4*o, -2*o + 8 = w - 21. What is the smallest common multiple of 8 and o?
24
Let q = -163/4 - -983/24. Calculate the common denominator of q and 33/20.
120
Let i = 415/2 + -161. Let f = 37 + -71. Calculate the common denominator of i and f.
2
Suppose -2*v + 20 = -4*g + 3*v, 0 = 3*g + 2*v - 8. Suppose g = -r + k - 40, r = k - 5*k - 50. What is the common denominator of r/(-20) + (2 - 0) and 65/16?
80
Find the common denominator of -5 + 212/300*9 and -94/15.
75
What is the common denominator of 453/(-18) + (1 - 0) and (-49)/(-4) - 1/(-1)?
12
Let s(a) = a**3 - 15*a**2 + 2*a - 18. Let q(v) = 2*v + 3. Let l be q(6). What is the least common multiple of s(l) and 6?
12
Let h = -52 - -53. Let m = 4 + -1. What is the lowest common multiple of h and m?
3
Suppose 0 = -2*c + 8 + 6. What is the lowest common multiple of c and 3 + 2 + (4 - 0)?
63
Let x = 5 - 3. Calculate the common denominator of x and 70/(-8) - (-3 + 1).
4
Let b = -16/475 + 22837/15200. Calculate the common denominator of 34/7 and b.
224
Suppose -15 - 18 = -5*a + 2*m, a + 7 = -3*m. Suppose 7 + 23 = a*r. What is the smallest common multiple of r and 50?
150
Let x = 31 - 24. What is the lowest common multiple of 11 and x?
77
Suppose -5*f - 131 = -371. Let o be f/5 - 2/(-5). Suppose -3*b = -o - 2. What is the least common multiple of 22 and b?
44
Let s = 1/434 + 5966/651. What is the common denominator of 47/2 and s?
6
Suppose -2 = 5*s - 7, 0 = 4*q - 5*s - 3. Let r be (-4)/(-10) - 17/5. Let f = 0 - r. What is the smallest common multiple of f and q?
6
Suppose 5 = q - 5. Suppose q = 2*j - 0*j. Suppose 0 = -2*w + 2*y + 50, -j*w + 93 = 2*y - 46. Find the common denominator of 99/2 and w.
2
Suppose -6*k + 197 - 65 = 0. Calculate the least common multiple of k and 140.
1540
Let q be 4/4 + 2*1. Let p be -4 - (-1 - (2 - q)). What is the common denominator of (p/(-5))/(84/750) and -1?
7
Calculate the common denominator of 133/(-14) + (-3)/(-24) and -67/10.
40
What is the least common multiple of 1*(-40 + 0)*3/(-4) and 24?
120
Let j(q) = -q**3 + 5*q**2 + 4*q - 5. Calculate the lowest common multiple of 21 and j(5).
105
Suppose r + 2*y - 2 = 0, 3*r + 19 = 5*r - y. Find the common denominator of 222/40 + r/(-4) and 99/4.
20
Let l = 66 + -31. Suppose 3*b - l = 13. Calculate the least common multiple of b and 2.
16
Suppose -2*z = 2*n + 44, -19 = 2*z + 3*n + 25. Find the common denominator of (-5)/(-8) - (-11)/z and -39.
8
Suppose -a - 2 = -4*y + 2*a, -4*a = -4*y. What is the lowest common multiple of y and 9?
18
Calculate the common denominator of 121/12 and 602/(-340) + 11/(-5) + 2.
204
Let q = 2 + -7. Suppose 2*k + 37 = 3*d + 2, -30 = -3*d + 3*k. Calculate the least common multiple of ((-11)/3)/(q/d) and 2.
22
Let o = -200/21 - -6. What is the common denominator of -68/15 and o?
105
Let b(s) = -s**3 - 8*s**2 - s - 2. Suppose 27 = -2*n + 11. Suppose -2*t = -a - 9, 0 = -t + 2*a + 6 - 3. Calculate the lowest common multiple of t and b(n).
30
Suppose 30 = 5*n - 0*n. Calculate the least common multiple of n and 3.
6
Let i = 1390/3 + -447. Let r be (-7922)/2448*(1 - 0)*3. Let w = i + r. What is the common denominator of 23/6 and w?
24
Let x be (8/(-6))/(4/(-6)). Suppose 5*h = x*h + 36. What is the lowest common multiple of h and 14?
84
Suppose 2*i + 3*u - 6 = -0, 2*u + 22 = 3*i. Calculate the smallest common multiple of i and (-1)/2 + (-34)/(-4).
24
Find the common denominator of 3/12 + (-378)/88 and -5/22.
22
Suppose 3*w = -4*p + 33, 0 = -3*p - 4*w + 8 + 8. Calculate the least common multiple of 4 and p.
12
Let x = -14 - -24. Let j = -19 + 15. Let r(v) = v**3 + 6*v**2 + 3*v - 4. Calculate the smallest common multiple of r(j) and x.
80
Let q = -2 - -20. What is the lowest common multiple of 2 and q?
18
Let w = -4 - -2. Find the common denominator of (-287)/(-14)*4/(-6) and (w*(-2)/(-12))/3.
9
Let u = -2 - -12. Suppose 0 = -7*q + 2*q + 15. What is the lowest common multiple of q and u?
30
Let j = -1715/2 - -817. What is the common denominator of -7/10 and j?
10
Suppose 0 = 19*o - 17*o - 110. What is the least common multiple of o and 50?
550
Suppose 4*k + 8 = 6*k. Suppose 0 = 8*a - 0*a - 160. Calculate the least common multiple of a and k.
20
Let b = -4270 - -68399/16. Calculate the common denominator of ((-171)/(-12))/(6/(-5)) and b.
16
Let i = -14137/19943 + -129/814. Find the common denominator of i and 19/6.
294
What is the lowest common multiple of 3 and ((2 - 0)*-2)/(-2)?
6
Let m = 32969/18 - 1835. What is the common denominator of 61/3 and m?
18
Suppose 3*i + p = 37, 52 = 3*i - p - p. What is the least common multiple of 20 and i?
140
Let o = 7/29 - -1755/58. Let k = 4518 + -14624768/3237. Let r = 229811/25896 - k. Find the common denominator of o and r.
8
Suppose -p + 60 = -d, 4*d + 252 = -0*d + p. Find the common denominator of 53/7 and 4/(d/154) - 0.
56
Let m = -46 - -49. What is the lowest common multiple of 9 and m?
9
Let z = 9769/1982 + -2/6937. Calculate the common denominator of 81/184 and z.
1288
Let k be (9 - 2)/(2/4). Let v = 11 + -18. Let j = k + v. Calculate the smallest common multiple of 5 and j.
35
Let b be 2 - 1/((-3)/(-27)). Suppose -h + 37 = 5*c, 5*c + 26 = -5*h + 111. Let l = b + h. What is the lowest common multiple of 10 and l?
10
Suppose -72 = 4*l - 108. What is the lowest common multiple of l and 14?
126
Let h = -5 - 1. Calculate the smallest common multiple of h/4*8/(-2) and 3.
6
Let n = -26042/26925 - 74/359. What is the common denominator of 47/30 and n?
150
Suppose -6*o - 48 = -10*o. Calculate the smallest common multiple of 12 and o.
12
Suppose 2*k - 40 = 2. What is the lowest common multiple of 4 and (-7)/(-3) - 7/k?
4
Suppose 4*u = 3*v + 33, 4*v = u - 6*u + 18. Calculate the lowest common multiple of u and 7.
42
Suppose 3*t - 26 = 4. Let u be 8/(-3)*42/4. Let h = -17 - u. What is the least common multiple of t and h?
110
Calculate the common denominator of -73/58 and (-724)/(-48) + (-12)/(-16).
174
Let k = -1/1280 + -52459/26880. What is the common denominator of -31/33 and k?
231
What is the common denominator of (-8 - -8) + (-22)/(-26) and -73/4?
52
Let o = 4192/2905 + -6 | {
"pile_set_name": "DM Mathematics"
} |
, 4 in descending order.
13, 4, -2, c
Let q(p) = p**3 + 37*p**2 + 39*p + 113. Let a be q(-36). Sort 1/7, 72, a in increasing order.
1/7, a, 72
Let x = -0.7 - 4.3. Let k = -0.4452 + 0.5452. Sort -2/11, 0.2, x, k in decreasing order.
0.2, k, -2/11, x
Let m = 133.18 + -133.5. Sort -5, m, 2, -1.
-5, -1, m, 2
Let z = -88 - -176. Let j = z - 89. Let s be ((-6)/4)/((-6)/(-16)). Put s, 8, j in decreasing order.
8, j, s
Suppose 30 = -19*r + 24*r - 3*c, 0 = -3*r + c + 14. Let a = 2 + 2. Put a, 0, r, -1 in increasing order.
-1, 0, r, a
Let z = 6.537 - -0.463. Sort z, -0.01, -2/7, 5.
-2/7, -0.01, 5, z
Let r = 4339/7 - 620. Put 3, r, -0.6 in descending order.
3, r, -0.6
Suppose 0*q + 8 = 4*q. Suppose q*f = 4*f + 4. Let j = -24 - -145/6. Sort j, -1, f in ascending order.
f, -1, j
Let h be ((-2)/3)/(2/6). Let g be 1/(1 - h*(-9)/15). Sort g, -7, -4, -3 in decreasing order.
-3, -4, g, -7
Suppose h - 2 = -5*c + c, -4*c + 3*h + 10 = 0. Let w = -20 + 38. Let u = -19 + w. Put 2, c, u in ascending order.
u, c, 2
Let c be 0/(-4) + (1 - 1). Let a be 3*(8/(-6))/1. Suppose -9*z - 40 + 121 = 0. Sort a, c, z in decreasing order.
z, c, a
Suppose 20 = -3*f + 5. Suppose -5*r = -g + 1, -3*r + 3 = 3*g - 0*r. Put f, -7, g in ascending order.
-7, f, g
Suppose -6*l + 27 = 3. Suppose 0 = 2*z - 3*z + 6. Suppose 0 = -0*f - 3*f - z. Put -1, l, f in ascending order.
f, -1, l
Suppose 0 = 4*i - 2*i + 10. Let u = 827 - 830. Sort -2, u, 0, i in ascending order.
i, u, -2, 0
Let s(k) be the third derivative of -k**5/60 - 5*k**4/12 - 2*k**3 + 14*k**2. Let t be s(-6). Sort 1, -5, t.
-5, 1, t
Let k(f) = f**2 - 19*f + 63. Let l be k(15). Put 2, l, -11, -2 in descending order.
l, 2, -2, -11
Let b = 17.24 + -16.74. Let r = 0.5 - 0.5. Put -1/10, r, b in decreasing order.
b, r, -1/10
Let p(a) = -a + 26. Let l be p(26). Let m be (0 - 3)/(-9)*(5 + -20). Sort m, l, 3.
m, l, 3
Let y(p) = p**2 + 19*p + 61. Let a be y(-15). Sort -5, -8, a.
-8, -5, a
Let u be 2*(4 + 0 + -2). Let d be (u/(-15))/((-16)/(-48)). Let x = 11 - 7. Sort 0.4, x, d in increasing order.
d, 0.4, x
Let f = 2/19 - 48/95. Suppose -p + 5 = 2*b, 2*p - 8 = b - 4*b. Sort b, f, -3, -0.5 in ascending order.
-3, -0.5, f, b
Let i = 10.065 + -0.065. Let q = i + -5. Sort 2/3, -2, -0.05, q in ascending order.
-2, -0.05, 2/3, q
Let c = 33 + -16. Let i = 12 - c. Sort i, -0.1, -1/4 in decreasing order.
-0.1, -1/4, i
Suppose 5*f = -b + 22, 4*f - 4*b - 17 = 3*f. Suppose -4*q - 3*y = -31, -21 = q + 4*y - 9*y. Sort f, q, -5 in increasing order.
-5, q, f
Let y = -990 + 986. Sort 0, 23, y.
y, 0, 23
Let w = -0.131 + 0.631. Put -3/8, w, -2/9 in increasing order.
-3/8, -2/9, w
Let f = -1.2 - -1.2. Let u = 7 + -9. Let v = f + u. Put -1/7, 2/9, v in ascending order.
v, -1/7, 2/9
Let g be 264/(-15) - (-2 + (-21)/(-15)). Put g, -0.4, -6 in increasing order.
g, -6, -0.4
Let z = -27 + 39. Put z, 4, 10 in increasing order.
4, 10, z
Let s = -537 + 540. Let g = -1 - -2. Sort 0.4, s, g.
0.4, g, s
Suppose -7*n = 66 + 130. Let k = -5 - n. Put -5, k, 0, 5 in increasing order.
-5, 0, 5, k
Let n(j) = -3*j**3 - 3*j**2 + 3*j + 7. Let h be n(-2). Let t = h + -27/2. Sort 0.3, 3, 1/3, t in descending order.
3, 1/3, 0.3, t
Let s = -0.6 - 4.4. Let w = 5 + s. Let x be (-1 - -3 - -1)/(-1). Put w, -4, x in descending order.
w, x, -4
Let s = 1 - 1.3. Let p = 6.3 + -5. Let x = p + -1. Put x, s, -1 in descending order.
x, s, -1
Let s = 22.12 - 22.1. Sort -3, s, -3/2 in ascending order.
-3, -3/2, s
Let r = 3 - 6. Let q be ((-14)/147)/(156/(-28) + 6). Sort q, -5, r, -1/3.
-5, r, -1/3, q
Let v(n) = -n**2 - 4*n - 4. Let b be v(-4). Let y be -3 + (3 + b)*0. Let q = y + 5. Put -3, -0.2, q in descending order.
q, -0.2, -3
Let h = 7.1 - 22.1. Put h, 1/2, 0.2 in decreasing order.
1/2, 0.2, h
Let x(o) = 2*o**2 + 4*o + 2. Let y be x(-2). Put 1, -17, y in ascending order.
-17, 1, y
Let c(u) = u**2 - 16*u - 35. Let w be c(-2). Sort -15, 5, w, -1 in decreasing order.
5, w, -1, -15
Let h(s) = s**2 + 11*s - 178. Let p be h(-20). Put p, 42, -2, 3 in descending order.
42, 3, p, -2
Let k = -1067 + 1062. Put -2, 24, k in descending order.
24, -2, k
Let s = -2 + 1. Let j(f) = -f**2 - 22*f - 35. Let o be j(-15). Let d = o + -74. Sort d, 3, s in descending order.
3, s, d
Suppose 7 = 5*m + 27, -4 = -4*d + 3*m. Sort d, 3, -5 in descending order.
3, d, -5
Let j(w) = 4*w**2 - 21*w + 47. Let k be j(4). Suppose 0 = -4*y + 3*f - 31, -3*y + 2*f = y + 26. Sort k, 5, y in increasing order.
y, 5, k
Let g be 3/(-1*(-9)/(-6) - -12). Let l = -0.46 - 0.04. Let c = 0.7 + l. Put -2/9, g, c in decreasing order.
g, c, -2/9
Let i = 569 + -568. Let o be (-5)/(-1)*6/5. Put o, i, 2 in increasing order.
i, 2, o
Suppose 2*u + 2 = -3*c, -5*u = -4*c + c - 16. Let q be 0 - (17 - 4) - -8. Put q, c, 5 in decreasing order.
5, c, q
Let o = -314 - -317. Put 15, o, -5 in increasing order.
-5, o, 15
Let r = -5 + 5.3. Let n be (-2)/(-15)*(0 + 3). Let b = 177 + -176. Sort r, b, n.
r, n, b
Let i = -80 + 75.9. Let j = i + 3.1. Sort 2, -2/3, -4, j in decreasing order.
2, -2/3, j, -4
Let z be (-2)/(-13) - 1036/(-26). Let b be (-224)/z + 3/5. Suppose j = -j. Sort b, 2, j.
b, j, 2
Let m be (-15)/((-945)/22) - (-8)/(-14). Let t = 3.93 + 0.07. Sort t, m, -8/3 in decreasing order.
t, m, -8/3
Let u = -33 + 24. Let l be u + 15 + 2*-2. Let y = 5 - 2. Sort y, -4, l in increasing order.
-4, l, y
Let j = 704 + -686.12. Let h = j - 22. Let q = 0.12 + h. Put q, 2/7, 1/9 in descending order.
2/7, 1/9, q
Suppose q + 26 = 5*n, 44 = 4*n + 7*q - 2*q. Sort n, -2, -40.
-40, -2, n
Let k = -642 + 640. Put 0.03, 8, 1, k in decreasing order.
8, 1, 0.03, k
Let g(l) = -3*l + 6. Let w be g(4). Let i = 9 + w. Let o = -3 + 5. Sort -5, i, o.
-5, o, i
Let m = -498 + 501. Sort 1, m, 0.08, -2/9 in ascending order.
-2/9, 0.08, 1, m
Suppose 3*d = -2*o + 311 + 282, 2*o - 5*d = 569. Put 1, -5, o in descending order.
o, 1, -5
Let q(z) = -z**2 - z + 59. Let d be q(7). Put 7, d, 4 in increasing order.
d, 4, 7
Let z = 320 + -331.88. Let l = -12 - z. Let d = 0.02 + l. Put -3, d, 4/7 in ascending order.
-3, d, 4/7
Let v be 10/3 - (-2)/3. Suppose v = -5*f - 1. Let i be (-2)/3*924/308. Sort 5, f, i.
i, f, 5
Let w(t) = -2*t + 6. Let i be w(4). Let k(g) = g**3 + 66*g**2 + 69*g + 248. Let j be k(-65). Put j, 0, i in decreasing order.
0, i, j
Let b(d) = 3*d**3 + 2*d**2 - 3*d + 1. Let x be b(1). Suppose 0 = 4*h - 0*h. Sort h, 2, x in increasing order.
h, 2, x
Let t = 22 + -18. Let w = -67.7 + 68. Put w, t, -0.5 in descending order.
t, w, -0.5
Let d be (86/4 - 3)*2. Suppose 12 = -29*b - 46. Sort b, -5, d in decreasing order.
d, b, -5
Let m(x) = 3*x - 17. Let j be 4 - (4/(-4) - 2). Let q be m(j). Let s = -13 + 15. Sort s, 3, q in decreasing order.
q, 3, s
Let h = -699 - -4889/7. Sort 3/5, h, 2/23, -2 in decreasing order.
3/5, 2/23, h, -2
Let p be 62/2*(-1 + 2). Let g(l) = -5*l + 23. Let j be g(-1). Let q = j - p. Sort q, -2, 4.
q, -2, 4
Let s be -6 - 330/(-54) - 60/54. Sort s, 3, 1/4, -3.2 in ascending order.
-3.2, s, 1/4, 3
Let q = 21.37 - 19.4. Let w = q + 0.03. Let l be ((-10)/(-12))/(-14 - 1909/(-138)). Sort l, -2/9, w in increasing order.
l, -2/9, w
Let p(r) = -r + 4. Let y be p(4). Sort y, -4, 4.
-4, y, 4
Suppose 5*q - 4*k - 22 = -3*k, 0 = -q - 2*k + 11. Let t = -265 - -260. Sort q, t, 2 in decreasing order.
q, 2, t
Let l = -67 - 57. Let y = l - -124. Put -1/10, y, 0.5, 2/5 in increasing order.
-1/10, y, 2/5, 0.5
Suppose -2*d + 7 - 1 = v, 3*v = -12. Suppose 4*f = 7*f + 57. Let s(b) = -b**2 - 18*b + 26. Let k be s(f). Put d, -2, k in descending order.
k, d, -2
Let h be 10 - (-9)/45*-25. Put 3/2, h, -4 in descending order.
h, 3/2, -4
Let f = -61 + 67. Let v be (-189)/39 - (-14)/(-91). Sort f, -0.2, v in increasing order.
v, -0.2, f
Suppose -8 = 4*x, -2*v - 4 - 4 = 3*x. Put 2, 0.1, -5, v in decreasing order.
2, 0.1, v, -5
Suppose d + 2*h = -2, -7 = 5*d - h + 3. Sort 347, -5, d.
-5, d, 347
Let x = -1.282 + 1.272. Let h = 123/35 - 26/7. Put x, h, -2 in descending order.
x, h, -2
Let l = -4 + 2. Let u be (-1)/((-27)/12 - -2). Suppose -2*p + 2*b = 6, -3*p - b - 4 + 3 = 0. Put p, l, u in decreasing order.
u, p, l
Let f(w) = 2*w**2 - w - 1. Let t be f(2). Suppose -15 = -4*z - m - 17, 5*z = 3*m + 6. Sort z, t, 4.
z, 4, t
Let x = 20.26 + -19.86. Sort x, -12, 9 in decreasing order.
9, x, -12
Suppose | {
"pile_set_name": "DM Mathematics"
} |
i + 44 = 2*x, -92 = -3*x + 5*i. Let z = -6 + x. Let h(l) = 2*l**2 - 3*l + 3. What is the remainder when z is divided by h(2)?
3
Suppose 0 = -5*s + 16 - 6. Suppose s*u - 46 = -32. Calculate the remainder when 97 is divided by u.
6
Let m(f) = f**3 - 8*f**2 - 11*f - 5. Let t be m(10). Suppose z = 3*r - 59, 5*r - z = 4*z + t. What is the remainder when 123 is divided by r?
18
Let q be 4/5*105/(-14). Suppose 0 = -c + 2*f - 94 - 71, 4*f - 159 = c. What is the remainder when 37 is divided by (4/q)/(6/c)?
18
Let f(v) = -6*v - 331. What is the remainder when f(-59) is divided by 17?
6
Suppose 0*t = 5*t - 10. Suppose -71 = -c + 4*u, -t*u - 46 = 4*c - 240. Calculate the remainder when c is divided by 18.
15
Let q = 1136 + -1081. What is the remainder when 875 is divided by q?
50
Suppose 0 = 5*o - 2*o - 9. Suppose -696 = -5*w - o*w. What is the remainder when w is divided by 22?
21
Suppose 0 = -3*s + 3*j - 4 + 31, -4*j = -2*s + 26. Suppose 0 = 5*u - 2*n - 50, 2*u - s*n - 19 - 1 = 0. Calculate the remainder when 109 is divided by u.
9
Let r(j) = 41*j - 228. Let z(d) = d + 7. Let k be z(-7). Suppose k = 2*w - 5*w + 102. What is the remainder when w is divided by r(6)?
16
Suppose q = 6*q - 5*p + 65, -5*q - 60 = -4*p. What is the remainder when 51 is divided by 12/7*(-84)/q?
15
Let r(t) = -2*t**2 + 4*t**2 + 4*t**2 - 1. What is the remainder when 18 is divided by r(-1)?
3
Let w(z) = 5*z + 126. Calculate the remainder when w(-5) is divided by 19.
6
Suppose 133 - 43 = 10*c. Suppose -3*d - c*d + 528 = 0. Calculate the remainder when d is divided by 12.
8
Let j(k) = -k**3 - 14*k**2 - 6*k - 56. Suppose -l + 27 = -24. What is the remainder when l is divided by j(-14)?
23
Let i be (-3)/6*(-7 + 2 + -1). Suppose -6*s + 3*s + i = 0, 0 = -5*z - s + 66. What is the remainder when z is divided by 6?
1
Let c(i) = -2*i + 212. What is the remainder when 680 is divided by c(19)?
158
Suppose 470 = -13*y + 15*y - 2*t, 3*y = -4*t + 677. Calculate the remainder when y is divided by 79.
73
Suppose -115*r - d = -114*r - 5, -5*r + d + 19 = 0. Suppose -8*c - 4*v + 8 = -3*c, -2*c + 14 = -2*v. What is the remainder when c is divided by r?
0
Let o = -7 - 11. What is the remainder when (-708)/o*(-12)/(-8) is divided by 12?
11
Suppose 2*h - 1386 = -7*h. Calculate the remainder when h is divided by 12.
10
Let s be (12/(-7))/(618/(-154) + 4). What is the remainder when (-1)/(-2)*1*s is divided by 18?
12
Let u = 44 + -28. Let n = 86 - 55. Calculate the remainder when n is divided by u.
15
Let r be 3 + 248 + (-2 - -5). Suppose 2*w - r = 4*y, -4*w + 376 = -w - 5*y. What is the remainder when w is divided by 30?
27
Let d = -159 - -176. Calculate the remainder when 66 is divided by d.
15
Suppose -93 = -4*d + d. Let v(c) be the third derivative of c**6/120 + c**5/60 + 91*c**3/6 - 5*c**2. What is the remainder when v(0) is divided by d?
29
Suppose 317 = c + 101. Let r be (c/30)/(2/15). Suppose r = k + k. What is the remainder when k is divided by 14?
13
Let d = -228 + 257. Suppose -2*h + 0*h = -22. What is the remainder when d is divided by h?
7
Let r = 28459 - 28451. Calculate the remainder when 322/6 + (-4)/6 is divided by r.
5
Suppose -52 - 35 = 3*y. Calculate the remainder when 12/(-4) + (27 - 1) is divided by (-4)/(-20) + y/(-5).
5
Suppose -7*j = -2*j + 3*l - 37, 3*j - 11 = l. Suppose 2*w = -4, j*w - 209 = -3*i - 81. What is the remainder when i is divided by 14?
4
Suppose b - 4 + 6 = 0, -4*b - 56 = -3*o. What is the remainder when 189 is divided by o?
13
What is the remainder when 378 is divided by (108/6)/9*38?
74
Suppose -4*z - 35 = z. Let u = 22 + z. Suppose -2*j - 9 = -u. What is the remainder when j is divided by 1?
0
Let k(s) = s**2. Let v be k(-1). Calculate the remainder when 87 is divided by v - (-2 - -87)/(-5).
15
Suppose 5*w = -3*r + 76, -2*w - 2*w = 3*r - 59. Suppose 0 = -4*k - 16, -k = -3*y + 2*k + 210. What is the remainder when y/5*30/12 is divided by w?
16
Let d(k) = 5*k - 4. What is the remainder when (-699)/(-12) + -1 + 27/36 is divided by d(4)?
10
Let g(p) = -2*p + 3. What is the remainder when 4 + -1 + 2 - -12 is divided by g(-3)?
8
Suppose u - 7 - 2 = 0. Let i(h) = -h**2 + 20*h - 17. Calculate the remainder when i(u) is divided by 28.
26
Suppose -s - 4 = 2*k - 26, 5*k = s - 43. Calculate the remainder when 109 is divided by s.
25
Let f(v) = -2 - 7*v + v + 8*v + v**2 - 5. What is the remainder when 84 is divided by f(4)?
16
Suppose -4*m = -5*t + 165, 90 = 4*m + 5*t + 245. Let w = 42 + m. Calculate the remainder when 5 is divided by w.
1
Let n(i) = -i**3 + i**2 + 3*i + 3. Let j = 1 - 1. Suppose x + 4 - 2 = j. What is the remainder when n(x) is divided by 4?
1
Let m(u) = -u**2 - 3*u + 1. Let c be m(-3). Suppose c = -5*d + 26. Suppose 5*o + 43 - 9 = 3*w, 0 = 3*o - 3. What is the remainder when w is divided by d?
3
Let n(h) = h**2 - 15*h + 64. Calculate the remainder when 79 is divided by n(8).
7
Let z(b) = 9*b**2 + b + 2. Let d be z(-1). Let x = d - -4. What is the remainder when (-2*41/6)/(2/(-6)) is divided by x?
13
Suppose -13 = 4*g + 5*n + 1, -g - 2*n - 5 = 0. Let r = g + 5. Suppose -r*x + 6 = -3*x. Calculate the remainder when 11 is divided by x.
5
Calculate the remainder when 98 is divided by -1*2/4*-44.
10
Let h = 376 + -370. Let r = 1 + 2. Suppose -r*l + 0*i + 40 = -i, 0 = -4*l - i + 65. Calculate the remainder when l is divided by h.
3
Let g(r) = r + 7. Suppose 4*f = -0*f - z + 2, z = -f + 2. Calculate the remainder when ((-19)/(-4))/(3/12) is divided by g(f).
5
Let i(x) = x + 37. Let a be (4/(-10))/(2/70). Calculate the remainder when i(a) is divided by 8.
7
Let n(r) = r - 3. Let m be n(8). Suppose -69 = -4*p - v, -m*p + 5*v + 12 = -4*p. Calculate the remainder when 116 is divided by p.
14
What is the remainder when (-6 - 112)*3/4*-2 is divided by 10?
7
Let s(t) = t**3 - 10*t**2 + 21*t + 8. Let q = 66 - 59. Suppose 1 = -2*w + 11. What is the remainder when s(q) is divided by w?
3
Suppose 0 = -s + 5. Suppose s*w + 21 = 5*m - 19, 5*m + 2*w = 61. Suppose 0 = -2*i + 10, -4*i = 4*q - i - 179. Calculate the remainder when q is divided by m.
8
Suppose 20*f - 5*h - 3194 = 18*f, -h = 2*f - 3182. Calculate the remainder when f is divided by 57.
53
Let v be 20 + -1 + 2 + -3. Let w be (-133)/(-42) + (-3)/v. Suppose -w*g + 8*g - 25 = 0. What is the remainder when 19 is divided by g?
4
Suppose -5*w + 5*h = -180, -44 = -4*w - 3*h + 79. Suppose -2*k + 7*k = -3*m + 38, 0 = -3*k + 3*m + 42. Calculate the remainder when w is divided by k.
3
Suppose -3*u + 135 = 6*u. Suppose -4*b + 62 = -102. What is the remainder when b is divided by u?
11
Let h(c) = 30*c**2 + 5*c + 13. Calculate the remainder when h(-2) is divided by 18.
15
Let i(k) be the first derivative of k**3/3 - 2*k**2 + 29*k + 18. What is the remainder when 96 is divided by i(7)?
46
Suppose 4*k = 3*b + 158, k + 215 = 6*k + 5*b. Suppose 4*j = -8*v + 5*v + 54, -4*j = 4*v - 52. Calculate the remainder when k is divided by j.
11
Suppose 3*v - 127 = 23. Suppose -d + 2*d - v = -3*h, 0 = -4*h + d + 62. What is the remainder when 59 is divided by h?
11
Let s(t) = -13*t + 172. What is the remainder when s(0) is divided by 50?
22
Let t be (-2 + 16/5)*-5. Let x = t + 13. Suppose -k = -2*k - 2*m + x, -5*k - 5*m + 35 = 0. What is the remainder when 11 is divided by k?
4
Let u(t) = 134*t - 1049. Suppose 18 = -s + 4*s. Let v = 12 - s. Calculate the remainder when u(8) is divided by v.
5
Let v = 26 - -45. Let a = -9 + 28. Calculate the remainder when v is divided by a.
14
Let c(v) = v - 6. Let j be c(6). Suppose 0 = -5*q + 3*o - 1, -3*q - 9 = o - j*o. Calculate the remainder when (-2817)/(-81) + q/(-9) is divided by 19.
16
Let a = 5 + -1. Suppose 11 = -a*j - 17. What is the remainder when 14 is divided by ((-2)/(-2))/(j/(-63))?
5
Let j = 113 + -107. Calculate the remainder when 11 is divided by j.
5
Suppose 0 = 6*x - 4*x - 8. Suppose 4*t = -5*s + 371, 0*t = x*s - t - 301. What is the remainder when s is divided by 22?
9
Let m(o) = -o**3 - 6*o**2 + 13*o + 12. Let z be m(-6). Let d = 75 + z. Calculate the remainder when d is divided by (0 + 6/(-4))*-2.
0
Let c = 13 - 3. What is the remainder when c is divided by 4?
2
Let d be 0 + (10/(-5) - -1). Suppose m - 8 + 2 = 0. What is the remainder when 23 - 21 - (-10 - d) is divided by m?
5
Let w | {
"pile_set_name": "DM Mathematics"
} |
nd -2188480 to the nearest 100000.
-2200000
Round 13814090 to the nearest one hundred thousand.
13800000
Round 21.982401 to the nearest ten.
20
Round -0.02425913 to two dps.
-0.02
Round 7.146141 to 0 dps.
7
What is 8.5249393 rounded to 1 decimal place?
8.5
Round 0.010312948 to three dps.
0.01
What is 7.5298 rounded to the nearest integer?
8
Round 80.585 to the nearest one hundred.
100
Round 0.000668752 to six decimal places.
0.000669
What is -0.001275084 rounded to five decimal places?
-0.00128
Round 0.001701966 to four dps.
0.0017
What is 7987.22 rounded to the nearest 100?
8000
What is 644457690 rounded to the nearest 100000?
644500000
What is 4.969185 rounded to three decimal places?
4.969
What is -0.0000165071 rounded to 5 dps?
-0.00002
What is -0.1136779 rounded to 3 dps?
-0.114
What is 2576440 rounded to the nearest 10000?
2580000
Round -5016840 to the nearest ten thousand.
-5020000
What is 27544.044 rounded to the nearest 1000?
28000
Round 0.0000018507 to seven decimal places.
0.0000019
What is 33792830 rounded to the nearest 1000000?
34000000
Round 0.1555007 to 1 decimal place.
0.2
Round -0.000113525 to 6 dps.
-0.000114
What is -0.000007795738 rounded to six decimal places?
-0.000008
What is -15152000 rounded to the nearest 10000?
-15150000
Round -2926135.7 to the nearest ten thousand.
-2930000
What is 1224954800 rounded to the nearest 100000?
1225000000
Round 36556600 to the nearest one million.
37000000
What is -6642000 rounded to the nearest one million?
-7000000
What is -3.27302 rounded to two decimal places?
-3.27
What is -299.4339 rounded to the nearest ten?
-300
Round -0.02995078 to 3 decimal places.
-0.03
Round 3.101504 to three dps.
3.102
What is -0.026666 rounded to three decimal places?
-0.027
Round 0.00000054564548 to 7 dps.
0.0000005
Round 0.000008723968 to 7 dps.
0.0000087
What is -1407.34 rounded to the nearest integer?
-1407
What is 88312.955 rounded to the nearest 10?
88310
What is 133.552 rounded to zero dps?
134
Round -0.004926255 to 4 decimal places.
-0.0049
Round 0.000895679 to 4 dps.
0.0009
What is -19844060 rounded to the nearest one hundred thousand?
-19800000
Round -0.0818694 to three dps.
-0.082
Round -0.0000619991 to seven dps.
-0.000062
Round 0.1198705 to 3 decimal places.
0.12
What is 0.002433759 rounded to 5 dps?
0.00243
Round 3561787000 to the nearest one million.
3562000000
What is 6191047 rounded to the nearest one hundred thousand?
6200000
What is 0.0030302643 rounded to 5 dps?
0.00303
What is -11921.16 rounded to the nearest one thousand?
-12000
What is 159851.34 rounded to the nearest 10000?
160000
What is 313680000 rounded to the nearest 1000000?
314000000
Round 4299.17 to the nearest ten.
4300
What is 17.82078 rounded to one dp?
17.8
Round -14.88325 to the nearest integer.
-15
Round 2167577.4 to the nearest 100000.
2200000
Round 5269917 to the nearest one thousand.
5270000
What is 0.1991517 rounded to two dps?
0.2
Round 1221.859 to the nearest 10.
1220
Round 185.2209 to one dp.
185.2
What is -10763.834 rounded to the nearest 100?
-10800
What is -9903 rounded to the nearest 10000?
-10000
Round -0.206635 to two dps.
-0.21
Round -0.0015983114 to 4 dps.
-0.0016
Round 336852 to the nearest one hundred.
336900
What is 22475680 rounded to the nearest 10000?
22480000
What is 0.10199746 rounded to two decimal places?
0.1
Round -464.7623 to the nearest 10.
-460
What is -3.592506 rounded to 3 dps?
-3.593
What is -340103000 rounded to the nearest one million?
-340000000
Round 413.2488 to 1 decimal place.
413.2
What is 0.0001034059 rounded to five dps?
0.0001
What is 0.21528346 rounded to 2 decimal places?
0.22
Round 2.86877 to 2 decimal places.
2.87
What is 3105910 rounded to the nearest 1000?
3106000
Round -0.00018689746 to 5 dps.
-0.00019
What is 0.000322844 rounded to five dps?
0.00032
What is 0.0001012511 rounded to six decimal places?
0.000101
Round 0.100647 to three decimal places.
0.101
What is 0.0003310356 rounded to five dps?
0.00033
Round -0.00001478546 to 7 dps.
-0.0000148
What is 0.0004357855 rounded to six decimal places?
0.000436
Round -53.27952 to one decimal place.
-53.3
Round 44788210 to the nearest one hundred thousand.
44800000
Round -578079.6 to the nearest one thousand.
-578000
What is -29.05158 rounded to two dps?
-29.05
What is 7.770636 rounded to 2 decimal places?
7.77
What is -1.793035 rounded to two dps?
-1.79
Round -4457122.1 to the nearest 100000.
-4500000
Round -0.447985 to 1 dp.
-0.4
What is -0.00013573086 rounded to 4 decimal places?
-0.0001
What is 260046.7 rounded to the nearest 100000?
300000
Round -5602920 to the nearest 10000.
-5600000
What is 0.0017366 rounded to 3 decimal places?
0.002
What is -158.2984 rounded to one decimal place?
-158.3
Round -0.0205517 to 4 decimal places.
-0.0206
Round 6902.07 to the nearest 1000.
7000
Round -0.0039836 to two dps.
0
Round -83255.34 to the nearest 1000.
-83000
Round -7624919 to the nearest ten thousand.
-7620000
Round 242.4171 to zero dps.
242
Round -5090.15 to the nearest 10.
-5090
Round 1430320 to the nearest one million.
1000000
What is -1.7178105 rounded to one dp?
-1.7
What is -24533.099 rounded to the nearest one hundred?
-24500
What is 121402.7 rounded to the nearest 100?
121400
Round -5052.2 to the nearest 1000.
-5000
Round -0.000001042113 to 7 decimal places.
-0.000001
What is 0.00085864 rounded to six decimal places?
0.000859
Round -0.000010366123 to seven dps.
-0.0000104
What is -321473340 rounded to the nearest 1000000?
-321000000
Round -7712.986 to the nearest 1000.
-8000
What is 0.000026369 rounded to five decimal places?
0.00003
Round 0.2640038 to 3 dps.
0.264
Round -0.037828 to 2 decimal places.
-0.04
What is -0.0003238504 rounded to 4 dps?
-0.0003
What is 234256600 rounded to the nearest one million?
234000000
What is 57018390 rounded to the nearest 100000?
57000000
Round -0.0326665 to 4 dps.
-0.0327
What is -19913865 rounded to the nearest 100000?
-19900000
Round -0.00007659317 to five decimal places.
-0.00008
Round -611.14 to the nearest one hundred.
-600
Round 2568.7939 to the nearest 10.
2570
Round 1389640 to the nearest 100000.
1400000
Round 869.3727 to the nearest 10.
870
Round 0.000193249 to 4 decimal places.
0.0002
What is -6636379 rounded to the nearest 1000000?
-7000000
What is -24717800 rounded to the nearest ten thousand?
-24720000
What is 55.97601 rounded to 1 decimal place?
56
Round -0.00001162026 to six dps.
-0.000012
Round -0.0000392802 to seven dps.
-0.0000393
What is 17770.641 rounded to zero dps?
17771
What is -0.462478 rounded to 3 dps?
-0.462
What is 35548.7 rounded to the nearest one thousand?
36000
What is -0.04741 rounded to 0 decimal places?
0
What is 349565.14 rounded to the nearest one thousand?
350000
What is -80.85925 rounded to zero decimal places?
-81
Round 0.0004528318 to five dps.
0.00045
Round -564590 to the nearest one thousand.
-565000
Round 0.00008167386 to 6 dps.
0.000082
What is -7580000 rounded to the nearest 10000?
-7580000
Round -462652600 to the nearest 1000000.
-463000000
Round 0.035042 to four dps.
0.035
What is -0.015963 rounded to 2 dps?
-0.02
What is -126.4344 rounded to the nearest integer?
-126
Round -0.0000547932 to 5 dps.
-0.00005
Round -19.80121 to 1 dp.
-19.8
What is 27.22981 rounded to 1 decimal place?
27.2
What is -0.0396548 rounded to 2 decimal places?
-0.04
Round 1.198928 to 1 decimal place.
1.2
What is 34.35211 rounded to the nearest 10?
30
Round -280.477 to the nearest 10.
-280
Round 670.34772 to the nearest one hundred.
700
Round -338275 to the nearest ten thousand.
-340000
Round -18754.27 to the nearest ten thousand.
-20000
What is 0.00050437767 rounded to five decimal places?
0.0005
What is 0.0000876172 rounded to 7 decimal places?
0.0000876
What is 3051 rounded to the nearest 100?
3100
What is -12.894614 rounded to 2 decimal places?
-12.89
What is 186560700 rounded to the nearest one hundred thousand?
186600000
Round -15488150 to the nearest ten thousand.
-15490000
Round 1540.99 to the nearest 10.
1540
Round -0.00000348215 to seven dps.
-0.0000035
What is -0.0366704 rounded to 3 decimal places?
-0.037
Round -14.84009 to the nearest 10.
-10
What is 215644700 rounded to the nearest 1000000?
216000000
Round -0.000252886 to four decimal places.
-0.0003
Ro | {
"pile_set_name": "DM Mathematics"
} |
digit of z?
7
Let q be (-6665)/(-5) - 35/(-7). Suppose -83*w + 81*w = -q. What is the hundreds digit of w?
6
Suppose 0 = z + 33 - 37, z + 20489 = 3*t. What is the hundreds digit of t?
8
Suppose -5*n - 28 = 2*r, 0 - 20 = 4*n + 4*r. Let o(f) = -57*f - 11. What is the units digit of o(n)?
1
Suppose -2*w + 2482 = -2*h + 4*h, w = h + 1233. Let m = w - 706. What is the units digit of m?
1
What is the tens digit of -24*(-11)/(-33) + 7917?
0
Let b(r) = r**2 - 12*r. Let w be b(12). Suppose 2*i - 7 - 83 = w. Suppose -115 = -4*p + i. What is the tens digit of p?
4
Let t be (-6)/(-3)*(-3 + 1)*-1. Suppose -s - t*s - v + 1033 = 0, 0 = 2*v + 4. What is the units digit of s?
7
Let q = -184 - -182. What is the hundreds digit of (-60 + q)*((-15)/2 - 1)?
5
What is the hundreds digit of 1173 + 16 + (-9)/((-9)/(-8))?
1
Let i = -40 + 47. Let r(d) = 2*d**3 - 8*d**2 + 9*d - 3. Let k be r(i). Suppose -2*a = -8*a + k. What is the tens digit of a?
5
Let z = -30 + 35. Suppose 4*p + 2*o - 4 = 0, p - o + 6 = z*p. Suppose -43 = -p*v + 55. What is the tens digit of v?
4
Let a(w) = -w**3 - 10*w**2 - 10*w - 5. Let r be a(-9). Suppose r = 5*s - 21. Suppose 5*t = c + s + 23, 2*t = -2*c + 4. What is the units digit of t?
5
Let j = -332 + 304. Let l(q) = 2*q**2 + 49*q - 32. What is the tens digit of l(j)?
6
Suppose -l = 6*f - 3*f - 27, 4*l = -2*f + 98. Let k = 28 - l. Suppose -n - k*n = -285. What is the units digit of n?
7
Suppose 281*a - 284*a = -297. What is the tens digit of a?
9
Suppose 0 = 2*o + 4*y - 14, -4*y - 8 = 3*o - 25. Suppose -s + 749 = o*q, 0*q + q - 243 = -2*s. What is the units digit of q?
1
Let c = -23904 + 50349. What is the ten thousands digit of c?
2
Let b = 1196 - -215. Let w = 388 + b. What is the units digit of w?
9
Let j = -414 - -350. What is the hundreds digit of (-39728)/j + (-15)/(-12)?
6
What is the units digit of 5055/(33/(-9) - (-2 + (-4)/2))?
5
Let d = 773 - 768. Suppose -6117 = -5*s + s - 3*t, 5*t - 7650 = -d*s. What is the tens digit of s?
2
Let n be ((-6)/27)/((-28)/132426). Suppose 3*z - n = f + 1243, 4*z - 3037 = -3*f. What is the units digit of z?
3
Let j be 5/(-15)*-3 - (-2 + -2). Suppose -4*y - 4*q = -47 - 1269, j*q = -y + 337. What is the hundreds digit of y?
3
Suppose 710*c + 97762 = 724*c. What is the thousands digit of c?
6
Let p(g) = -464*g - 1685. What is the units digit of p(-21)?
9
Let l(r) = 5235*r + 4052. What is the ten thousands digit of l(12)?
6
What is the tens digit of (-554352)/168*14/(-4)?
4
Let n = 18761 - 5623. What is the tens digit of n?
3
What is the hundreds digit of -2*(-5)/(-2) + 3826?
8
Let u(h) = -h**3 - 8*h**2 - 9*h + 4. Let r be u(-9). Suppose r = 8*p - 522. What is the tens digit of p?
8
Suppose -2*b - 2*i = 248 - 32, 0 = -3*b - 2*i - 324. What is the hundreds digit of (b/42)/((-5)/875)?
4
Let r(q) = 107*q - 42. Let g be 1 - (-3 - -6) - -7. What is the tens digit of r(g)?
9
Let i(x) = x**3 + 26*x**2 + 9*x - 24. Let c = 136 - 161. What is the hundreds digit of i(c)?
3
Let a be ((-14)/(-5))/(42/105). Suppose 0 = a*w - 8*w + 201. What is the tens digit of (8/(-8))/((-3)/w)?
6
Let k be 1*-1*(-16476)/(-18)*-6. Suppose -3*n - 1421 + k = 0. What is the units digit of n?
7
Let w = 183219 - 97369. What is the units digit of w?
0
Suppose 2*u - 12556 = 3*h, -h = -2*u + 12965 - 405. What is the hundreds digit of u?
2
Suppose -4*w - 44662 = -3*j, -4*j - 5*w + 59554 = -8*w. What is the hundreds digit of j?
8
Let u(w) = -8*w**3 - 30*w**2 + 7*w - 49. What is the tens digit of u(-10)?
8
Suppose -1860424 + 153524 = -73*p + 21*p. What is the hundreds digit of p?
8
Let l = 35 - 35. Suppose l*p + 7*p = 665. Let b = -13 + p. What is the units digit of b?
2
Suppose -24*l + 92366 + 45110 = -75932. What is the units digit of l?
2
Suppose 3*n + 5*n = -n. Suppose 2*h - 6 + n = 0. Suppose h*i - 400 = 56. What is the hundreds digit of i?
1
Let u(x) = 2*x**3 - 3*x**2 - 147. Let m be u(27). What is the hundreds digit of m/60 + (-1)/((-10)/(-2))?
6
Suppose 95213 = 2*o + 4*c + 24987, 3*c + 175591 = 5*o. What is the units digit of o?
7
Suppose 24*z - 26*z + 16184 = -i, -2*i + 40451 = 5*z. What is the units digit of z?
1
Let w = 7201 + -6126. What is the tens digit of w?
7
Suppose 10472 = -24*f + 10*f. Let t = -435 - f. What is the hundreds digit of t?
3
Let z(v) = 5*v**2 + 6*v + 6. Let k(o) = -4*o**2 - 6*o - 6. Let f(i) = -4*k(i) - 3*z(i). Let g be f(-4). What is the tens digit of (135/4)/1 + g/(-8)?
3
What is the thousands digit of 5 + (-9 + 10)/((-8)/(-23608))?
2
Let i(k) = -85*k - 43. Let p(s) = -83*s - 44. Let y(t) = 6*i(t) - 5*p(t). What is the tens digit of y(-4)?
4
Let k = -121452 + 175878. What is the ten thousands digit of k?
5
Suppose -m = -15*m + 16548. Let z = -107 - -114. Suppose -o + z*o = m. What is the units digit of o?
7
Let m(k) be the first derivative of -k**2/2 + 705*k - 16. Let i be m(0). What is the tens digit of i/20 - 6/24?
3
What is the hundreds digit of 0 + 5849 - (18 + -21 - 5)?
8
Suppose -73*g - 45707 + 965361 = 0. What is the thousands digit of g?
2
What is the thousands digit of (25/(1250/(-585560)))/(8/(-60))?
7
Let m = -19979 - -41525. What is the thousands digit of m?
1
Let b(k) = -8*k**3 - k**2 + 119*k + 48. What is the hundreds digit of b(-16)?
6
Let u(p) = -4*p**2 - 6*p + 8. Let f be u(-2). Suppose -2*i + 166 = f*c - 792, -4*i + 1193 = 5*c. What is the tens digit of c?
4
Let g(j) = -j**3 - 138*j**2 + 333*j + 923. What is the thousands digit of g(-141)?
3
Let f be 0/(-1 - 5) - 8. What is the tens digit of (3 + -75)/f + 143?
5
Suppose 0 = n + 2*k - 11, -2*k + 43 = 4*n + 11. Suppose -4*y - 3*h + 122 = 0, -y - 2*h + n = -21. What is the tens digit of y?
3
Let p(o) = -136*o - 182. Let a(j) = -68*j - 91. Let d(m) = 5*a(m) - 2*p(m). What is the tens digit of d(-7)?
8
Let s = -33526 + 48880. What is the units digit of s?
4
Let d = 25623 - -10499. What is the ten thousands digit of d?
3
Let r(p) = 54*p - 418. Suppose 242 = -43*n + 65*n. What is the tens digit of r(n)?
7
Suppose 41943 = 5*f - 3*d, -11*f + 7*f = -2*d - 33552. What is the tens digit of f?
8
Let b(q) = -21*q**3 - 21*q**2 - 105*q - 12. What is the hundreds digit of b(-5)?
6
Let f be (((-216)/(-3))/(-3))/((-40)/60). Suppose -f*o + 21917 = 2657. What is the tens digit of o?
3
Let v(h) = h**2 - 4*h - 8. Let a be v(-4). Let p be (-4*(-9)/a)/(6/28). Suppose 9*u - 3*n = p*u + 192, -5*n + 20 = 0. What is the hundreds digit of u?
1
Let c be (4/(-2) - -3*3) + 0. Suppose -w - 5340 = -c*w. Suppose -6*i - 146 = -w. What is the units digit of i?
4
Let u = 30 - 40. Let z be (-190)/u*(-1*15 + 1). What is the hundreds digit of -2 - 0 - z/2?
1
Suppose 4*g - 21449 = 7*g - 101315. What is the thousands digit of g?
6
Let j(z) = 2937*z - 518. What is the thousands digit of j(3)?
8
Let s = -35 + 51. Suppose s = 3*a + 76. What is the tens digit of (30/24)/((-1)/a)?
2
Let l(o) = 0*o - 105 + 103 + 3*o. Let u be l(-1). What is the hundreds digit of (-653)/u - (-3)/((-30)/(-4))?
1
Suppose -5*z + m = -232, -5*z + 371 = -5*m + 131. Let f = -28 - -154. Let y = f - z. What is the tens digit of y?
8
Let h = -48 - -63. Suppose -3766 = -h*f + f. Let u = 470 - f. What is the units digit of u?
1
Let p be -6*2/(-4) - (-1 + 0). Suppose 0 = p*a - 344. Let f = a + 23. What is the hundreds digit of f?
1
Suppose -2*y + 3*f + 7634 = 0, -93 = -2*y - 4*f + 7555. What is the thousands digit of y?
3
Suppose 142*s - 2503384 = 4431186. What is the thousands digit of s?
8
Let c = 295 - 295. Suppose c = z + 5*p - 923, z - 402 = -3*p + 515. What is the tens digit of z?
0
Let y = 8925 - 4939. What is the tens digit of y?
8
Let s(c) = -143*c. Let o be s(1). Let h = -139 - o. Suppose -5*p + 5*m - 5 = 0, p + 2*p - h*m + 6 = 0. What is the units digit of p?
2
Let p(j) be the third derivative of 11*j**4/24 - 4*j**3 + j**2. Let f be ((-14)/5)/((-14)/70). What is the tens digit of p(f)?
3
Let y be 5 - (-3 + 2 - 12). Suppose -t = -y + 13. Suppose -3*j = t*s - 773, 213 + 50 = j - s. What is the units digit of j?
1
Let o be 149/(-596)*((-1 - -2) + -37). Let a(j) = 3*j**3 - 8*j**2 - 19*j + 24. What is the thousands digit of a(o)?
1
Let f = 69 - 57. What is the units digit of ((-8)/(-4))/((f/808)/3)?
4
Suppose 36 = 2*r - 11*r. What is the units digit of (1561/35 - r)/(3/15)?
3
Let l = 72 - 70. Let h(r) = 3*r**2 - | {
"pile_set_name": "DM Mathematics"
} |
e of -7*l**2/2 - 2*l - 2. Suppose 0 = -42*d + 41*d - 0 - 1. Calculate d*b(v) - 5*x(v).
2*v + 2
Let c(u) = 2*u**3 + 45*u**2 + 41*u - 29. Let w(l) = -11*l**2 - 10*l + 7. Let i(r) = -6*c(r) - 25*w(r). Let g(d) = -d**2 - d. Calculate -5*g(b) - i(b).
12*b**3 + b + 1
Let y = -154265 - -154255. Let p(d) be the first derivative of -9*d**2/2 + 5*d + 2. Let b(x) = 28*x - 16. What is y*p(q) - 3*b(q)?
6*q - 2
Let a(l) = -842*l - 2. Let h(v) = 844*v + 4. Calculate 3*a(t) + 2*h(t).
-838*t + 2
Let s(v) = 1302*v + 56. Let a(b) = 651*b + 32. What is 7*a(h) - 4*s(h)?
-651*h
Let z(n) = -2*n**2 - 3*n - 1. Let l(p) = 5*p + 1. Let d be l(1). Suppose -110*u + 101*u = -18. Let h(b) = b**2 + b. Determine d*h(v) + u*z(v).
2*v**2 - 2
Let m(f) = -5*f**2 - 2*f. Suppose -z = -4*h - 25, -21*h + 128 = 6*z - 23*h. Let y(s) = 18*s + 39*s**2 + 23*s**2 + 3*s - 13*s**2. Calculate z*m(r) + 2*y(r).
-7*r**2
Let n(a) = -29*a**2 - 3*a. Let k(v) = 3*v**3 + 23*v**2 + 67. Let i be k(-8). Let m(b) = 58*b**2 + 5*b. Give i*m(u) + 5*n(u).
29*u**2
Let l(x) = 7*x**2 + 2*x + 3. Let m(t) = 2*t**2 - 4*t**2 + 7*t - 94 + 16*t**2 + 99 - 4*t. What is -5*l(w) + 3*m(w)?
7*w**2 - w
Let d(i) = 33*i - 786. Let o(x) = -8*x + 197. Give 5*d(a) + 21*o(a).
-3*a + 207
Let h(c) = -19*c - 3. Let q(b) = 921*b + 54. Let v(l) = 211*l + 13. Let k(n) = -2*q(n) + 9*v(n). Calculate 7*h(r) + 2*k(r).
-19*r - 3
Let b(k) = -15*k**2 - 27*k - 3. Let x(h) = 76*h**2 + 155*h + 14. Calculate 11*b(r) + 2*x(r).
-13*r**2 + 13*r - 5
Let k(l) be the third derivative of l**4/24 + l**3/6 + 474*l**2. Let y(a) = -3*a + 7. Calculate -2*k(c) - y(c).
c - 9
Let u(i) = 5*i**3 + i - 2. Let s(o) = -1 - 1515*o**3 + o - 1 + 1521*o**3. Determine -3*s(k) + 4*u(k).
2*k**3 + k - 2
Let w(z) = 15*z + 590. Let v be w(-39). Let p(j) = -3*j. Let d(g) = -7*g + 1. What is v*p(t) - 2*d(t)?
-t - 2
Let z(w) = -6*w. Let b(p) be the second derivative of p**3 - p - 560. Calculate 4*b(n) + 3*z(n).
6*n
Let z(f) = 2*f**3 + 2*f**2 + 4. Let c(g) = 24*g**3 + 2*g**2 + 12*g + 8. Calculate c(u) - 2*z(u).
20*u**3 - 2*u**2 + 12*u
Let x(l) = -83*l**2 + 32*l + 6. Let d(c) = 84*c**2 - 38*c - 7. Give 8*d(w) + 9*x(w).
-75*w**2 - 16*w - 2
Let x(d) = d**3 + 65*d**2 - 7*d + 226. Let s(h) = -26*h**2 + 3*h - 113. Calculate 5*s(t) + 2*x(t).
2*t**3 + t - 113
Let f(n) = 3196*n**3 + 11*n**2 - 22. Let g(t) = 799*t**3 + 3*t**2 - 6. Give 3*f(q) - 11*g(q).
799*q**3
Let l(w) = -5*w**2 - 6*w + 4. Let c(d) = 10*d**2 + 13*d - 9. Let a = -7024 - -7020. Determine a*c(b) - 9*l(b).
5*b**2 + 2*b
Let z(b) = 146*b - 2633. Let a be z(18). Let r(m) = 2*m**2 - 2*m + 13. Let l(t) = 3*t**2 - 3*t + 19. Give a*l(d) + 7*r(d).
-d**2 + d - 4
Let t(j) = -j + 5. Let y(l) = 39. Let h(g) = 58. Let m(n) = -2*h(n) + 3*y(n). What is -5*m(q) - t(q)?
q - 10
Let d(a) = -4*a**3 - 15*a**2 - 150*a - 5. Let n(y) = -y**3 - 3*y**2 - y. Calculate -d(l) + 5*n(l).
-l**3 + 145*l + 5
Let z(l) = 2*l**2 - 5*l + 2. Suppose -204*j - 155 = 157*j - 330*j. Let i(a) = 3*a**2 - 9*a + 3. What is j*z(u) + 3*i(u)?
-u**2 - 2*u - 1
Suppose -q - 16 = 3*q. Let m(h) = h + 1. Let g(x) be the first derivative of -6*x**2 - 10*x + 577. Determine q*g(i) - 40*m(i).
8*i
Let j(d) = -7*d**3 - 5*d**2 - 5*d + 5. Let t = 1 + 1. Suppose -366*s + 453*s = -158 - 277. Let z(q) = -3*q**3 - 2*q**2 - 2*q + 2. Give s*z(i) + t*j(i).
i**3
Let v(g) = 4*g**3 - 2*g**2 + 2*g - 1. Let z(w) be the second derivative of 1/6*w**3 + 1/20*w**5 + 0*w**2 + 52*w - 1/12*w**4 + 0. What is -v(c) + 2*z(c)?
-2*c**3 + 1
Let l(n) = -n**2 - 3*n + 3. Suppose m = -2 - 1. Let x be l(m). Let b = -5869 - -5870. Let z(h) = -1. Let v(k) = -3*k + 3. Determine b*v(p) + x*z(p).
-3*p
Let g(i) = -125*i**3 - 11*i**2 - 183*i - 11. Let s(p) = 58*p**3 + 5*p**2 + 92*p + 5. What is -6*g(w) - 13*s(w)?
-4*w**3 + w**2 - 98*w + 1
Let n(j) = -6*j**3 + 40*j**2 + 281*j - 7. Let v(u) = 2*u**3 - 15*u**2 - 95*u + 3. What is 3*n(k) + 8*v(k)?
-2*k**3 + 83*k + 3
Let z(h) = 143*h**3 - 77*h**2 + 77*h + 77. Let j be 47678/620 - 1/(-10). Let k(a) = 11*a**3 - 6*a**2 + 6*a + 6. Calculate j*k(i) - 6*z(i).
-11*i**3
Let n(v) = -v**2. Let p(c) = -33*c**2 - 34*c**2 + 65*c**2. Let y(m) = -m**2 + 14*m + 20. Let j be y(15). Let o be j/(5/(-2))*-7. What is o*n(f) - 6*p(f)?
-2*f**2
Let j(c) = -13*c + 6. Let f(w) = -28*w - 221. Let v be f(-8). Suppose -79 = -9*q + 8*q - 2*n, 228 = v*q - 3*n. Let y(r) = 168*r - 77. What is q*j(x) + 6*y(x)?
7*x
Let u(f) = 536*f**2 - 3*f + 9. Let v(m) = -168305*m**2 + 943*m - 2829. Give 1886*u(s) + 6*v(s).
1066*s**2
Let f(j) = -j + 8. Let k(l) = 89*l**3 - 13*l**2 + 5*l - 40. Calculate 5*f(m) + k(m).
89*m**3 - 13*m**2
Let f(b) = -b**3 + b**2 - 99*b. Let z(w) = -2*w**3 + 4*w**2 - 199*w. What is 5*f(u) - 2*z(u)?
-u**3 - 3*u**2 - 97*u
Let c(i) = 4*i**3 + 3*i**2 - 3*i - 3. Let n(w) = 15*w**3 + 11*w**2 - 11*w - 11. Let h = -56 - -96. Suppose 34*z - h*z - 36 = 0. Determine z*n(m) + 22*c(m).
-2*m**3
Let u(z) = -z**3 - 55*z**2 - 3*z + 1. Let d(o) = 2*o**3 + 59*o**2 + 3*o - 2. Determine 5*d(f) + 6*u(f).
4*f**3 - 35*f**2 - 3*f - 4
Let w(h) = -h - 1. Suppose 4*y = -3*g - 204, -2*g + 0 = 8. Let d = y + 96. Let k = d - 47. Let b(v) = 3*v - 2. Give k*b(z) - w(z).
4*z - 1
Let x(h) be the first derivative of -2*h**2 - 3*h - 3. Let a(b) = -5*b - 3. Let w(t) = t**3 + 5*t**2 + 8*t + 42. Let d be w(-5). Give d*a(n) - 3*x(n).
2*n + 3
Let d(a) = 208*a**2 + 39*a - 39. Let z be 78*(2 + (-40)/16). Let i(v) = 11*v**2 + 2*v - 2. Give z*i(g) + 2*d(g).
-13*g**2
Let f be 0*(1 + (-9)/6). Let t(z) = -z + 19 + f*z - 8*z + 7*z. Let x = 399 - 393. Let d(n) = -n + 10. Determine x*t(w) - 11*d(w).
-w + 4
Let r(l) = -506*l + 139. Let u(x) = 709*x - 194. Give 17*r(a) + 12*u(a).
-94*a + 35
Let a(j) = -9*j - 41. Let m(x) = -8*x - 34. Let d(i) = -5*a(i) + 6*m(i). Let t(y) = -y**2 + y + 1. Determine -d(p) - 3*t(p).
3*p**2 - 4
Let z(k) = 168*k. Let x(p) = -7*p. Suppose 26*g + 72 = -10*g. Determine g*z(y) - 49*x(y).
7*y
Let h(i) = i - 1. Let v(w) = -3*w + 3. Let b be 52/(-2) + 15/(195/52). Let p be b/33*21/2. What is p*h(j) - 3*v(j)?
2*j - 2
Let x(z) = -6*z**3 - 4*z**2 + 20. Let f(d) = -37 + 37 - 21 - 6*d**3 + 11*d**3 - 2*d**2 + 5*d**2. Calculate -4*f(u) - 3*x(u).
-2*u**3 + 24
Let f(j) = -52*j**3 + 8*j**2 + 8*j. Suppose -5*q - h - 30 = -42, 3*h - 26 = -5*q. Let p(i) = -i**3 + i**2 + i. What is q*f(x) - 8*p(x)?
-44*x**3
Let u(j) = 3*j + 92*j**2 + 5 - j - 430*j**2 + 340*j**2. Let k(n) = 0*n - n**2 + 0*n - 1. Calculate -3*k(p) - u(p).
p**2 - 2*p - 2
Let a = -76 + 75. Let d(m) be the third derivative of m**4/24 + m**2 - 4*m. Let k(p) = -7*p**2 - 5*p. What is a*k(j) - 5*d(j)?
7*j**2
Let i(h) = -1. Let g = 821 - 689. Suppose -11*q - g = -154. Let r(a) = -8*a. Calculate q*i(t) + r(t).
-8*t - 2
Let i(y) = -4*y - 45. Let v(t) = 302*t - 188. Let g(d) = -94*d + 63. Let a(k) = 16*g(k) + 5*v(k). Calculate 5*a(r) + 8*i(r).
-2*r - 20
Let a(p) = 21*p + 2. Let w(s) = 91*s + 33. Let t(v) = -90*v - 29. Let x(f) = 6*t(f) + 5*w(f). Calculate 18*a(u) + 4*x(u).
38*u
Let t(j) = 12*j**2 + 4*j + 1. Let h(c) = 25*c**2 + 11*c + 1. Let v(s) = 3*h(s) - 5*t(s). Let n(w) = -w**2 - 7*w**2 + 3 - 7*w - 2. Determine 11*n(a) + 6*v(a).
2*a**2 + a - 1
Let t(l) = 46*l + 2251. Let r be t(-49). Let i(a) be the first derivative of -4*a**2 - 3*a - 3. Let g(n) = 25*n + 10. Calculate r*g(q) - 10*i(q).
5*q
Let c(r) = -14*r + 4897. Let z(p) = -37*p + 14691. Give 8*c(u) - 3*z(u).
-u - 4897
Let r(n) = -n**3 - 2*n**2 - 2*n - 1. Let x(q) = 3*q**2 + q - 6. Let v(c) = 6*c**2 + 4*c - 6. Let a(p) = v(p) - x(p). Determine -2*a(z) - 3*r(z).
3*z**3 + 3
Let c(t) = -6*t**2 + t + 3. Let w(g) = -g**2 + g + 1. Let f(i) = -i**3 + 7*i**2 + 6*i - 45. Let y be f(7). Let q be -2*y/(-33) + 156/132. Give q*c(s) - 3*w(s).
-3*s**2 - 2*s
Let m(g) = 6*g**3 + 24. Let y(c) = 2*c**3 + 8. Suppose 4 = 4*w - b + 20, 20 = -5*b. Let r be 567/36 - 1/(-4). Calculate r*y(v) + w*m(v).
2*v**3 + 8
Let a(y) = -14*y**2 - 12*y - 18. Let c(z) = -z**2 - z - 1. Suppose -36*d = -41*d, 5*f + 5*d = 5. Determine f*a(n) - 12*c(n).
-2*n**2 - 6
Let f(t) = t - 1. Let l(c) = -c**3 + 12*c**2 - 19*c - 3. Let y be l(10). Let p(z) = 8 + y - 11 - 6*z - 2*z. Calculate -3*f(j) - p(j).
5*j - 1
Let k = 95 + -34. Let x(j) = 4*j + 60*j**2 - 5*j - k*j**2. Let s(r) = r**3 - 3*r**2 - 3*r - 1. What is 2*s(w) - 6*x(w)?
2*w**3 - 2
Let h(t) be the second derivative of 0* | {
"pile_set_name": "DM Mathematics"
} |
288 (base 11) to base 2.
101010010
Convert 2727 (base 11) to base 3.
11212001
12245 (base 6) to base 13
aa9
-8a4 (base 16) to base 9
-3027
-3343 (base 5) to base 14
-25b
What is 391 (base 11) in base 4?
13033
93 (base 15) to base 16
8a
-596 (base 13) to base 8
-1710
Convert 222230 (base 4) to base 8.
5254
What is 1544 (base 8) in base 15?
3cd
What is 4324 (base 7) in base 10?
1537
161 (base 9) to base 13
a6
What is -14523 (base 9) in base 14?
-3875
3205 (base 6) to base 8
1325
What is 1200222 (base 3) in base 8?
2331
Convert -480 (base 12) to base 16.
-2a0
Convert -3616 (base 11) to base 9.
-6442
Convert -26b (base 15) to base 13.
-335
Convert 2041 (base 7) to base 9.
874
What is -2150 (base 11) in base 7?
-11163
Convert -570 (base 14) to base 15.
-4bd
Convert 267 (base 12) to base 8.
557
What is -1ba (base 15) in base 14?
-208
4a2 (base 13) to base 6
3424
What is -ac4 (base 15) in base 6?
-15134
What is 200220120 (base 3) in base 12?
7b89
-302322 (base 4) to base 14
-128a
-6d4 (base 15) to base 4
-120031
What is -471 (base 11) in base 4?
-20302
Convert 5573 (base 10) to base 2.
1010111000101
What is -5131 (base 7) in base 11?
-1384
Convert -5433 (base 8) to base 4.
-230123
Convert -66455 (base 8) to base 13.
-c94c
-1435 (base 13) to base 4
-231211
-201101 (base 3) to base 14
-295
d116 (base 15) to base 14
12117
-3132 (base 6) to base 14
-384
What is -8601 (base 9) in base 5?
-200234
-8b6 (base 15) to base 12
-1183
Convert -2024122 (base 5) to base 2.
-1000000100001101
What is -764 (base 14) in base 2?
-10110110100
-17f0 (base 16) to base 6
-44212
What is 211 (base 7) in base 13?
82
210202 (base 4) to base 9
3177
What is 1001010111 (base 2) in base 8?
1127
9835 (base 10) to base 7
40450
Convert 3208 (base 14) to base 16.
21b8
What is -110101010011 (base 2) in base 3?
-11200100
Convert -804 (base 15) to base 3.
-2110211
Convert 16d65 (base 14) to base 7.
326455
620 (base 14) to base 13
718
Convert 1120 (base 6) to base 8.
410
What is 22602 (base 8) in base 14?
36dc
Convert -73 (base 8) to base 12.
-4b
What is 1212003 (base 5) in base 11?
16105
What is -210143 (base 7) in base 13?
-13577
What is 63153 (base 7) in base 10?
15522
Convert 1000112001 (base 3) to base 6.
232514
What is -5367 (base 11) in base 14?
-2827
What is 245 (base 10) in base 9?
302
7613 (base 9) to base 7
22221
Convert 28c0 (base 16) to base 11.
7924
What is -6590 (base 15) in base 7?
-116466
7cc2 (base 13) to base 15
5310
Convert 398 (base 11) to base 6.
2102
What is -5b04 (base 13) in base 11?
-9720
What is 10020100 (base 3) in base 14?
c06
What is 2ed4 (base 16) in base 8?
27324
What is -100234 (base 5) in base 6?
-22442
Convert -21573 (base 9) to base 5.
-424242
Convert -10021121 (base 4) to base 3.
-212022002
212 (base 15) to base 14
255
Convert 231 (base 12) to base 16.
145
Convert -22133 (base 5) to base 8.
-3007
What is 3736 (base 16) in base 2?
11011100110110
What is -300042 (base 6) in base 12?
-11622
-1402034 (base 5) to base 2
-110111011101010
What is -30101000 (base 4) in base 14?
-14448
-414314 (base 5) to base 14
-4dd3
What is -997 (base 11) in base 15?
-54a
-2304 (base 6) to base 14
-2ac
What is -32fa (base 16) in base 12?
-7676
179 (base 11) to base 16
cf
What is 2c (base 13) in base 8?
46
What is -27273 (base 11) in base 3?
-1222101112
Convert -4545 (base 12) to base 3.
-101112122
220d (base 16) to base 14
3269
-652 (base 14) to base 3
-1201020
What is -12176 (base 9) in base 13?
-3945
387 (base 9) to base 15
167
Convert 4b60 (base 12) to base 14.
31a0
-6c1 (base 15) to base 14
-7b5
-c325 (base 16) to base 11
-34596
-1406 (base 9) to base 8
-2043
3194 (base 10) to base 9
4338
What is -173a6 (base 12) in base 13?
-12276
5561 (base 12) to base 5
300213
Convert 236354 (base 7) to base 3.
2012001212
Convert -4a8d (base 15) to base 12.
-9237
26010 (base 8) to base 14
4172
Convert -11011 (base 2) to base 5.
-102
23aa5 (base 12) to base 14
13805
4b60 (base 12) to base 11
648a
What is 7055 (base 9) in base 6?
35505
-110110111100010 (base 2) to base 3
-1102120212
-22222112 (base 3) to base 2
-1100110010100
Convert 210021001 (base 3) to base 9.
23231
What is 17462 (base 8) in base 13?
3834
What is 31424 (base 6) in base 2?
1000010101000
Convert 2220102 (base 3) to base 6.
13445
What is -78d (base 16) in base 5?
-30213
What is 1011310 (base 4) in base 11?
33a2
30311 (base 4) to base 3
1010102
-511 (base 8) to base 10
-329
What is 5887 (base 16) in base 12?
11147
Convert 1031 (base 4) to base 14.
57
What is 1321012 (base 4) in base 5?
222000
What is 392 (base 11) in base 9?
565
What is -c48 (base 16) in base 14?
-1208
-6762 (base 8) to base 5
-103240
Convert -550 (base 11) to base 5.
-10120
ba29 (base 15) to base 2
1001100111110110
What is -1161 (base 12) in base 3?
-2200001
-14734 (base 9) to base 13
-4780
Convert 1053 (base 7) to base 9.
463
What is 3737 (base 9) in base 16?
ae4
-11330 (base 4) to base 6
-1432
-1233 (base 7) to base 3
-122020
Convert 325022 (base 6) to base 7.
141521
What is -8a18 (base 15) in base 13?
-1042a
What is 2c (base 14) in base 4?
220
Convert 101001111101 (base 2) to base 11.
2021
3668 (base 10) to base 3
12000212
667 (base 16) to base 12
b47
What is -100001100010111 (base 2) in base 12?
-9b33
Convert 12100 (base 4) to base 9.
484
Convert -12001121 (base 3) to base 6.
-25024
-42a9 (base 12) to base 9
-11043
Convert -132a (base 13) to base 8.
-5264
373 (base 8) to base 12
18b
Convert -23053 (base 8) to base 11.
-7383
What is -220220 (base 3) in base 10?
-672
What is 135233 (base 6) in base 7?
52266
Convert -319 (base 10) to base 16.
-13f
What is -3206 (base 7) in base 12?
-7a5
What is 1690 (base 11) in base 12?
12b8
11521 (base 6) to base 14
89b
What is 20102211 (base 3) in base 4?
1021111
Convert -2424 (base 5) to base 9.
-444
Convert -8575 (base 14) to base 11.
-16341
Convert -12315 (base 8) to base 13.
-2568
Convert 181 (base 13) to base 10.
274
What is 101100 (base 2) in base 6?
112
c17 (base 13) to base 14
a64
What is 111241 (base 6) in base 16?
24a9
Convert -147b (base 16) to base 10.
-5243
What is 39ac (base 16) in base 9?
22224
-222105 (base 6) to base 2
-100100010111001
Convert -4553 (base 7) to base 12.
-b5b
What is -231304 (base 6) in base 12?
-b534
Convert 1000001100010101 (base 2) to base 7.
166556
What is 124414 (base 5) in base 6?
35024
What is 120242 (base 6) in base 15?
317b
Convert -177 (base 13) to base 4.
-10023
Convert 11213 (base 4) to base 10.
359
-1000100110 (base 2) to base 15
-26a
-535 (base 7) to base 15
-131
b7 (base 16) to base 13
111
What is -2739 (base 11) in base 16?
-ddf
-109 (base 13) to base 5
-1203
What is -735 (base 8) in base 13?
-2a9
-101210 (base 4) to base 12
-798
Convert -101000001010 (base 2) to base 6.
-15522
What is -1110 (base 12) in base 14?
-988
Convert -817 (base 9) to base 7.
-1636
What is -22113 (base 5) in base 6?
-11033
What is -9742 (base 15) in base 14?
-b948
5022 (base 7) to base 6
12003
What is -1110000011011 (base 2) in base 5?
-212240
204a6 (base 12) to base 8
122276
Convert 437 (base 12) to base 13.
388
35571 (base 10) to base 5
2114241
What is 58a (base 13) in base 7?
2540
-1020 (base 6) to base 14
-124
Convert 1102010121 (base 3) to base 9.
42117
-30025 (base 6) to base 13
-1a15
3631 (base 11) to base 7
16600
Convert 287 (base 10) to base 11.
241
What is 34452 (base 7) in base 9?
13066
-10721 (base 9) to base 11
-5408
What is -31532 (base 6) in base 16?
-10d0
Convert -23a (base 12) to base 14.
-19c
What is 32111300 (base 4) in base 15?
1260b
19bd (base 15) to base 14
2066
-2218a (base 11) to base 9
-48106
-212021 (base 3) to base 9
-767
Convert 16423 (base 7) to base 13.
2185
Convert 16620 (base 11) to base 14.
8739
-338 (base 9) to base 12
-1b2
What is -102323 (base 4) in base 14?
-627
What is 120000 (base 3) in base 10?
405
-4410 (base 5) to base 4
-21131
What is 105022 (base 6) in base 14?
3338
What is 2406 (base 10) in base 15?
aa6
What is 300323 (base 4) in base 13?
156b
2c2 (base 16) to base 9
864
Convert -622 (base 9) to base 11.
-420
17ca3 (base 15) to base 16
12d2f
Convert 5255 (base 7) to base 16.
73d
-3 (base 4) to base 15
-3
What is -278 (base 10) in base 3?
-101022
What is 31340 (base 5) in base 2?
100000101111
102200 (base 3) to base 8
473
Convert -132000 (base 6 | {
"pile_set_name": "DM Mathematics"
} |
ed to five dps?
0.0001
Suppose 31*z + 41943600 = 58*z - 36*z. What is z rounded to the nearest one million?
-5000000
Let h = -296833 + 296832.99999863929. What is h rounded to seven dps?
-0.0000014
Let d = 88813.0000075441 - 88813. Round d to 7 dps.
0.0000075
Let q = -0.058 - 593.942. Let l = q - -594.000431. Round l to four decimal places.
0.0004
Let z = -1.53 - -27.33. Let l = -25.79999632 + z. What is l rounded to 6 dps?
0.000004
Let l be (-3132611845)/(-186) + 1/(-12)*-10. What is l rounded to the nearest 100000?
16800000
Let v = -422.46932 + -0.32068. What is v rounded to the nearest integer?
-423
Let z(d) = -332*d - 66. Let h be z(-24). Suppose -12578 = -16*a + h. Round a to the nearest one hundred.
1300
Let i(t) = -28241*t - 143. Let l be i(-3). What is l rounded to the nearest ten thousand?
80000
Let g = 753227972 - 753227820.9999905. Let p = g - 151. What is p rounded to six dps?
0.00001
Let x = 34936589 - 34936494.000612. Let s = -153 + 248. Let h = s - x. What is h rounded to four dps?
0.0006
Let j = 141.03 - 134. What is j rounded to the nearest 10?
10
Let r(q) = 349119*q**2 + 19*q + 120. Let t be r(-5). Round t to the nearest one hundred thousand.
8700000
Let f be 2*(-3)/6*32/(-8). Suppose -116 = 4*d - 5*k + 157, 130 = -2*d - f*k. Round d to the nearest 10.
-70
Let t = 95.2 + -263.1. Let c = t + 174.77. Round c to the nearest integer.
7
Suppose -72*o = -299*o - 12994161. Round o to the nearest one hundred.
-57200
Let r = -9869987.71986 - -9870130. Let k = r - 422.28145. Let c = -280 - k. What is c rounded to four dps?
0.0013
Let b = -1924.94744 - 0.15256. What is b rounded to the nearest 10?
-1930
Suppose -1836 + 90402 = 2*j. Suppose -10*i + 13*i = j. Let g = 8461 - i. What is g rounded to the nearest one thousand?
-6000
Suppose -165*m + 399287133 + 11415579 = -416046288. What is m rounded to the nearest 100000?
5000000
Let y = -18 - -17.9932. Let c = y + -0.0279. Let i = c + 0.054. Round i to three dps.
0.019
Let x = -2.122 + -0.018. Let t = x + 29.04. What is t rounded to the nearest ten?
30
Let d = 113.9 + -113.8999985791. Round d to seven decimal places.
0.0000014
Let d = 19134996 + -34933996. What is d rounded to the nearest one million?
-16000000
Let w = 2.11 + -2.376. Let g = w - 607.734. Let j = -608.0271 - g. What is j rounded to three dps?
-0.027
Let d = -71.8 + 90. Let h = -6.07 + d. Let x = 0.37 + h. Round x to the nearest integer.
13
Let k = 0.085 + -213.085. Let v = 45220513764.00000099 + -45220513977. Let d = k - v. Round d to seven dps.
-0.000001
Let z = -80.9 + 388.5. Let d = z + -280. Round d to zero dps.
28
Let k = -50.7 - -40.1. Let z = k - -56.2. What is z rounded to 0 decimal places?
46
Let q = -156 + 156.0346. Let v = q - 0.0635. Round v to 3 dps.
-0.029
Let c = 31.6 - 723.6. Let i = 704.32 + c. What is i rounded to 0 dps?
12
Let f be 11 + (1 + -3)*2. Suppose -f*w - 5301 = 3015. Round w to the nearest 100.
-1200
Suppose 173 = 5*v + 1538. Let z = v - -253. What is z rounded to the nearest 10?
-20
Suppose 8*p + 4*s - 3778142 = 6*p, 0 = -p + 5*s + 1889050. Let m(d) = -230313*d - 4. Let y be m(-3). Suppose 3*o = y + p. Round o to the nearest 100000.
900000
Let m = -17491 + 17490.985249. Round m to four dps.
-0.0148
Let f = 76 - 78. Let v(y) = y**2 + y + 2. Let r be v(f). Suppose -r*g = -3*p + 8760003, -4*p + 2*p - 10949998 = 5*g. Round g to the nearest 100000.
-2200000
Let j = 1 - 1.11. Let y = j - -29.11. Let i = y - 29.17. Round i to 2 dps.
-0.17
Let u = 266697.999840347 + -266698. What is u rounded to six dps?
-0.00016
Let v = -13225 + 13152.87. What is v rounded to zero decimal places?
-72
Suppose 0 = 163*l + 272054354 + 26235646. What is l rounded to the nearest 10000?
-1830000
Let w = 576.9 - 574. Let r = w - 2.9007336. What is r rounded to 5 dps?
-0.00073
Let w = -0.01858 - -0.01866624. What is w rounded to 5 dps?
0.00009
Let v = 0.48967 + -0.647575. Let t = v - 38.803595. Let r = t - -39. What is r rounded to three dps?
0.039
Let c = 14.46 - 14.4620341. What is c rounded to 4 decimal places?
-0.002
Let f = -16930971 - -10158971. Round f to the nearest 100000.
-6800000
Let v = 14848.644 + -14896. Round v to the nearest ten.
-50
Let w = -1.4696 + -323.9604. Let j = w + 328. What is j rounded to one dp?
2.6
Suppose 5*i = -z + 144149997, 2*i + i - 2*z = 86490006. Suppose -4*v = -v + i. What is v rounded to the nearest one million?
-10000000
Let u = 4795410 - 4795409.921701984. Let w = 0.0783 - u. Round w to 7 decimal places.
0.000002
Let j = 4163 - 4162.3. Let m = 6.56 + -6. Let x = m + j. Round x to 1 dp.
1.3
Let n(p) = -5185*p**3 - 2*p + 1. Let u be 2/(-6) + (-52)/(-12) + -1. Let j be n(u). What is j rounded to the nearest 10000?
-140000
Let q = 30.056 - 30.05597185. What is q rounded to seven dps?
0.0000282
Let m = 366 - 365.8579. Let l = 35.6179 + m. Let r = 40.9 - l. What is r rounded to 0 dps?
5
Let s(n) = -n**3 + 2*n**2 - n + 4. Let a be s(2). Suppose h - 11*g - 3390000 = -9*g, -a*h + 6780000 = -3*g. Round h to the nearest one hundred thousand.
3400000
Let t = 1.055 - 1.04727. Round t to three decimal places.
0.008
Let n = 472.91 + -475. Let q = -2.003 - n. Let j = -0.123 + q. What is j rounded to 1 decimal place?
0
Suppose -73*m - 771430000 = -18*m. What is m rounded to the nearest one hundred thousand?
-14000000
Suppose -69*c + 2*x - 174 = -73*c, -2*c = -3*x - 67. Let p be 37 + 0 + 2 + -2. Suppose c*y = p*y + 388. Round y to the nearest ten.
100
Let q = -650.9549 - -651. Let h = 0.02 + q. Round h to three decimal places.
0.065
Let k = 34265.67 + -34565. Round k to 0 dps.
-299
Let r = 467055.00005 + -467075. Let l = 24 + -44. Let y = r - l. Round y to five dps.
0.00005
Let k = -0.221 - 0.079. Let v = 0.2999185 + k. What is v rounded to six dps?
-0.000082
Let m = -365413 + 365328.9905. Let u = m - -84. What is u rounded to 2 dps?
-0.01
Let h = -303.737589283 + -265.262409983. Let k = h - -569. What is k rounded to 7 dps?
0.0000007
Let x = 2233.99994633 + -2234. What is x rounded to 5 decimal places?
-0.00005
Suppose -5*d - 201*d + 1833400 = 0. Round d to the nearest 1000.
9000
Let g = 15.8 - 162.8. Let l = g - -146.9834. Round l to two dps.
-0.02
Suppose 3*h - 2*x = 5, -3*x + 0 = 3*h - 30. Let d(t) = -77173*t**3 - 2*t**2 + 2*t - 10. Let q be d(h). Let l = 11453325 - q. Round l to the nearest one million.
21000000
Let d = 0.852 - 0.85202431. What is d rounded to five decimal places?
-0.00002
Let u = 2.37046 + 89.63468. Let f = -92 + u. Round f to three dps.
0.005
Let j = 480094659.75459837 + -480094662. Let f = 0.05460537 - j. Let o = f - 2.3. What is o rounded to 6 dps?
0.000007
Suppose 102*a = 83*a + 16340000. Let r be 4/6*(2 + 4). Suppose t + a = 2*s, -3440000 = r*t - 2*s + 3*s. Round t to the nearest 100000.
-900000
Suppose 2793 = d + 2*f + 874, 0 = 2*d - 5*f - 3847. Let w = -1008 + d. Round w to the nearest ten.
910
Let u = 848429.4 + -848436.6136709. Let v = 0.0146109 + u. Let o = 7.2 + v. Round o to four decimal places.
0.0009
Let h = 821.21 - 827.7599. What is h rounded to 0 decimal places?
-7
Let r = 96607189649.99997881 + -96607188466. Let s = r - 1184. What is s rounded to six decimal places?
-0.000021
Let c = 1892814.210004825703 + -0.210024825703. Let w = -1892787 + c. Let x = -27 + w. What is x rounded to 4 decimal places?
0
Let x = 392.3 - 45.3. Let b = -346.99999144 + x. What is b rounded to six dps?
0.000009
Let i = -12 + -16. Let b = -42228 - -42199.9608. Let j = b - i. Round j to 3 decimal places.
-0.039
Let b(c) = 55853*c**3 + 17*c**2 - c + 35. Let t be b(-15). What is t rounded to the nearest one million?
-189000000
Let n = 7 + -6.9. Let m = n - 0.06. Let k = m + 1.5. Round k to 1 decimal place.
1.5
Let n = 135210.0000164727 - 135210. Round n to 7 decimal places.
0.0000165
Let z = 6.563 + -1326.763. What is z rounded to the nearest ten?
-1320
Let a = -47885.893 + 47953. Let o = a + -66.7. Round o to 2 dps.
0.41
Let h = 336 - 336.4532. Let g = h - -0.542. What is g rounded to three decimal places?
0.089
Let k(b) = -b**3 + 6*b**2 + 8*b - 9. Let z be k(7). Let d be 14 - -16789 - (-3)/2*z. What is d rounded to the nearest one thousand?
17000
Suppose -2*w = 8, 2*f - 52 = 3*w + 2*w. Let o be 16*(-8)/f + 275008. What is o rounded to the nearest ten thousand?
280000
Let j = -311 + 310 | {
"pile_set_name": "DM Mathematics"
} |
*n**2 - 4*n - 8. Is 14 a factor of f(-2)?
False
Suppose 4*l = 2*l + 64. Suppose -l = 5*v - y, -v + 4*y - 4 = 3*y. Let m = 21 + v. Is 14 a factor of m?
True
Let z = -90 + 151. Is z a multiple of 13?
False
Let i(m) = m**3 + 12*m**2 - m - 17. Let t be i(-12). Is 23 a factor of 138/4*(t + 7)?
True
Let o(y) = 2*y**2 + 7*y + 6. Does 12 divide o(-6)?
True
Let w = 102 - 34. Is 17 a factor of w?
True
Let l be (-5 - (-1 - 2)) + 10. Let j = -6 + l. Is 5 a factor of ((-8)/j)/((-9)/18)?
False
Is (4 - 2)*33/2 a multiple of 11?
True
Let b(w) = -149*w**3 + 2*w**2 - w. Let u be b(1). Does 14 divide ((-2)/(-4))/((-2)/u)?
False
Suppose 0 = 8*b - 6*b - 118. Is b a multiple of 15?
False
Let k = -2 - -4. Let c = 15 + -13. Suppose 0*o + c*o - 24 = k*b, 17 = o + 4*b. Is 5 a factor of o?
False
Let j = 63 + 1. Let b = 95 - j. Does 9 divide b?
False
Let z be (1 - 1)/(3 + -1). Suppose z = 3*h - 14 + 2. Is h even?
True
Suppose 3*j = -0*j + 24. Let f = j + -5. Suppose f*g - 20 = -4*b - g, 3*b - 3*g = 33. Does 4 divide b?
True
Suppose -2*z = 5*a - 279, 120 = 2*a - z + 6*z. Suppose -2*x - 3*k = -24, 4*x - 68 = -0*k + 4*k. Suppose 4*j - a = -x. Is j a multiple of 6?
False
Suppose -2*o + 72 = -3*k, 2*o - 5*k = -o + 106. Is o a multiple of 14?
True
Let l(a) = -a**3 - 4*a**2 - 2. Let i be l(-2). Is (-6)/10*350/i a multiple of 7?
True
Let l = 3504 - 672. Suppose -3*v + v - l = 0. Is 17 a factor of (-4)/(-14) - v/42?
True
Let x be (-2)/(-7) - (-2)/(-7). Suppose x*k = -5*k. Is 17 a factor of k - -39 - (-2 + 1)?
False
Is 23 a factor of ((1 - -19) + 3)*3?
True
Is 8 a factor of (12 - -5) + (-1 - 0)?
True
Let q(r) = 18*r. Suppose o - 2 = -o. Let i be q(o). Does 11 divide 384/i + 4/6?
True
Suppose 180 = 12*b - 3*b. Is b a multiple of 3?
False
Let s be (-2 - -1)/((-3)/9). Let x = 23 + s. Is x a multiple of 13?
True
Let v(c) = -2*c + 11. Is 7 a factor of v(-5)?
True
Let k(l) = -10*l - l**2 + 43 + 3*l + 8*l. Is k(0) a multiple of 12?
False
Let z be (-24)/(-108) + 86/18. Suppose g - 10 = -w + 6, 4*g = -z*w + 66. Is 7 a factor of g?
True
Let d(i) = -4*i**2 + 3*i - 2. Let z be d(2). Is 10/1*z/(-8) a multiple of 5?
True
Suppose -y + 4*c - 15 = 25, -3*y - 65 = -c. Let r = -11 - y. Is r a multiple of 9?
True
Suppose -p + 9 + 1 = -o, 2*o = -p + 16. Let r = p - 0. Is r a multiple of 8?
False
Suppose 0 = 3*r - h + 3*h - 33, -2*r + 27 = 3*h. Is r a multiple of 2?
False
Let w(j) = -3 + 4*j**2 - 7*j + 2*j**2 - 7*j**2. Let o be w(-8). Is -2 - o - (-2 + 2) a multiple of 7?
False
Let w(i) = -36*i**3 + i + 1. Let k(m) = 2*m**3 + m**2 - m - 1. Let n be k(-1). Does 18 divide w(n)?
True
Let b be 0*-1*(2 - 1). Suppose -3*z - 2*j + 6*j - 10 = b, -5*j + 10 = -5*z. Is 4 a factor of 5 + 1 + 0 - z?
True
Let n be ((-6)/(-5))/((-3)/(-10)). Suppose 0 = 2*b - n + 12. Let f(p) = -p**2 - 4*p + 5. Is 2 a factor of f(b)?
False
Let d(h) be the first derivative of -3*h**2 - 7. Is d(-8) a multiple of 14?
False
Let a(z) = z + 19. Is 5 a factor of a(-9)?
True
Let y(z) = z**3 + z**2 + 2*z + 3. Does 15 divide y(3)?
True
Let n be -2 - (-3 + -1 + 0). Suppose -3*z - n*d + 13 + 4 = 0, 7 = -3*z + 4*d. Is z even?
False
Let f be (-4172)/(-2) - (4 - 3). Let a be ((-2)/6)/((-5)/f). Let r = a + -97. Is 18 a factor of r?
False
Suppose 2*j - 24 = j. Does 8 divide j?
True
Is (0 + -2)*(-285)/10 a multiple of 33?
False
Suppose -3*z - 5 = 49. Let k = -13 - z. Is k a multiple of 3?
False
Suppose 3*h + 2*l = 20, 0 = 2*h - h - 4*l - 30. Let i = -2 + h. Suppose t + 1 - i = 0. Is t a multiple of 6?
False
Let i(n) = 2*n + 15. Let y = -2 - -15. Is 13 a factor of i(y)?
False
Suppose -8*x + 111 = -7*x. Suppose -i = -4*g + x, 0*g - 2*g + 59 = 3*i. Does 14 divide g?
True
Let b(m) = -m**2 - 10*m + 3. Let x be -1 - -2 - 20/2. Does 6 divide b(x)?
True
Let w(f) = -f + 0*f + 2 - f**3 + 7. Let k = 6 - 6. Is 9 a factor of w(k)?
True
Does 33 divide 14567/63 + (1 - 11/9)?
True
Suppose -29 = -4*s + 27. Suppose -2*u = -4*j - 26, 0 = 2*j + u + 3*u - 12. Let x = j + s. Is x a multiple of 5?
True
Let i(u) = u**2 + 5*u - 9. Is i(7) a multiple of 15?
True
Suppose -3*k + l + 0*l + 289 = 0, 2*l + 98 = k. Does 32 divide k?
True
Let v be 4/(-14) - 32/(-14). Suppose 4*p + 2 = v*s, -p - 4 = -s - 1. Suppose 14 = -0*j + p*j. Does 7 divide j?
True
Let i be (1/(-2))/(1/(-8)). Let c be -1*2*(-5)/2. Suppose -2*z = i*q - 108, -c*q - z = -34 - 95. Does 11 divide q?
False
Let y be ((-2)/(-1))/(1*-2). Does 4 divide (-16)/4 + 17 + y?
True
Let h(j) = -j**3 + 9*j**2 - 9*j + 11. Let o be h(8). Let m = o - -2. Is m a multiple of 2?
False
Let p(i) = -i**3 + i**2 + 4. Let w be p(0). Let l(o) = o**2 - o + 3. Is l(w) a multiple of 12?
False
Let p(o) = -o**2 - 3*o - 6. Let a be p(-4). Is 6 a factor of 10/4*(-24)/a?
True
Suppose -4*v + 2*v - 4 = -2*w, 5*v + 3 = 4*w. Let z(h) = h**2 - 10*h + 6. Let a be z(w). Is 8 a factor of (85/a)/(2/(-6))?
False
Suppose -8 = 4*c - 0*c. Let w = 5 + c. Suppose 43 + 23 = w*q. Is 8 a factor of q?
False
Suppose 0 = o + 3*o - 8. Suppose -o*c + 3*c = 12. Is c a multiple of 12?
True
Is 19 a factor of (-2 + (-2)/(-4))*-38?
True
Let m(a) = a**3 + 5*a**2 + 4*a. Let h be m(-3). Let v = -6 + h. Is 13 a factor of (v - -1)*(15 - 2)?
True
Suppose 0 = 5*l + 25, 2*o + 3*l + 11 = -0*o. Suppose -1 - o = 3*a. Is 0 - 2/(-2) - a a multiple of 2?
True
Let f be (0/(-6))/(1 - -1). Let j = 5 - f. Let h(l) = 5*l - 4. Is 7 a factor of h(j)?
True
Let i(z) = z**3 + 3*z**2 - 3*z + 1. Suppose -2*j - 9 = -k - 5*j, 4*k - j - 10 = 0. Let m = k + -6. Is i(m) a multiple of 10?
True
Let x(v) = -v**2 + 8*v - 3. Let d be x(7). Suppose -2*g + 41 = -d*n + 1, 0 = -5*g - 2*n + 76. Does 16 divide g?
True
Let c be (0 + 1)*1/1. Let w = 5 - c. Suppose -3*b = w*j - 30, -4*b - 2*j = -0*b - 30. Is b a multiple of 3?
True
Suppose -m = 2*f + 2*f - 185, -5*m + 861 = 4*f. Does 36 divide m?
False
Suppose t = -22 + 1. Is (t*2)/(-2) + -3 a multiple of 14?
False
Suppose -6*l = -3*l - 117. Does 4 divide 2/(-13) - (-162)/l?
True
Let y(p) = -p**2 - 5*p + 5. Let m be y(-5). Suppose 3*f + 52 = m*f. Does 10 divide f?
False
Is 35 - -1 - (-34)/(-17) a multiple of 3?
False
Let y(w) = -8*w. Does 11 divide y(-11)?
True
Let p = 10 + 10. Is 6 a factor of p?
False
Let d(o) = o**2 + 7*o + 8. Let r be d(-6). Let t = r + 1. Suppose -4*q + 96 = 5*p, -2*p + 47 - t = 3*q. Is 6 a factor of p?
False
Let d = -5 - -8. Suppose -4*u + d + 1 = 0. Let i(w) = 21*w**3. Is 8 a factor of i(u)?
False
Let n(c) = 1. Let a(q) = -2. Let o(r) = 6*a(r) + 13*n(r). Let t(v) = 28*v + 6. Let j(d) = -6*o(d) + t(d). Is 14 a factor of j(1)?
True
Let i be 4*((-2)/(-2) - 0). Suppose 20 = 3*u - i. Is u a multiple of 8?
True
Let y(o) = -o**3 + o**2 - o + 1. Let q be y(1). Suppose q = 2*h - 3 - 3. Suppose h*p = 2*p + 9. Is 4 a factor of p?
False
Let f(z) = -11*z - 1 + 1. Let c be 36/(-54) - 7/3. Is 11 a factor of f(c)?
True
Suppose 0*v - 3*v - m = -126, -m = -5*v + 210. Is 21 a factor of v?
True
Suppose 4*h - 143 = 5*z, 61 + 17 = 2*h + 4*z. Does 10 divide h?
False
Let u(f) = 2 - 3*f**3 + f**2 + 2 - 5 + 2 + 2*f. Let j be u(-1). Suppose h - 8 = -j. Is 2 a factor of h?
False
Suppose 17 = -4*g + 201. Is g a multiple of 15?
False
Let n = 51 - 31. Does 5 divide n?
True
Let x(j) = -4*j**3 - j**2 + 3*j + 6. Is x(-3) a multiple of 6?
True
Suppose 2*o + 3*o = -3*a + 916, 3*a - 2*o = 944. Is 8 a factor of (a/(-60))/(2/(-10))?
False
Let w(a) = -4*a. Let d be w(-1). Suppose d*g = 8*g. Is 11 a factor of (g - -1) + 12 + -2?
True
Suppose -22 = 3*d + 4*x, -4*d - 6*x - 28 = -x. Let b be (d/3)/(2/18). Let v = b + 16. Does 8 divide v?
False
Let l be (-8)/(-14) - (-488)/28. Let c = l - -4. Does 11 divide c?
True
Suppose -2*b = 4*a - 262, -4*a - a + 3*b + 344 = 0. Is a a multiple of 17?
False
Let g = -17 + 13. Does 6 divide 9 + (g - (-1 - 0))?
True
Suppose 5*p - 25 = -5. Let h be 15/4 - (-1)/p. Suppose 5*y = -4*o + 89, y - 88 = -h*o - 3*y. Is o a multiple of 7?
True
Suppose -3 = -4*r + 17. Suppose 3 + 12 = r*y. Is y a multiple of 2?
False
Let g = 27 - 33. Let x be (-118)/8 + (-2)/8. Is 16 a factor of (g/5)/(x/400)?
True
Suppose g - 16 = -3*g + 2*h, h = 2. Suppose g*y + 3*m - 17 = 0, -4*m + 11 = 2*y - 7*m. Suppose y*k = 14 + 6. Is 5 a factor of k?
True
Let l = 240 - 112. Is 8 a factor of l?
True
Is 7 a factor of (5 - (-85)/(-10))*-12?
True
Suppose 30 = 2*w - 0*w. Is w a multiple of 15?
Tr | {
"pile_set_name": "DM Mathematics"
} |
6 + -87 - (-18 + 4)?
3
Evaluate -25 + 43 - (2 + -2 + 3 + -9).
24
Evaluate 189 - 194 - (1 - 12).
6
What is the value of 11 + 30 + -25 + -22?
-6
What is (-12 - -19) + -9 + 4 + -4 - -2?
0
Evaluate 21 + 1 + (16 - 23) + -29.
-14
Evaluate -4 - -3 - ((8 - 22) + -8) - -6.
27
What is 153 - 164 - (1 - 23)?
11
Evaluate -9 + (0 - 2 - 7) + (8 - 12).
-22
What is (-4 - 0 - -7) + (-1 - 4)?
-2
What is the value of (-16 - (-6 + -5)) + 29 - 10?
14
Evaluate 34 + -2 + -16 - -1.
17
Evaluate -67 - (-59 - -18) - ((1 - -1) + -9).
-19
44 - -6 - (-3 + 4) - 14
35
Evaluate 3 - ((-11 - -22) + (12 - 21 - -8)).
-7
-2 - ((-4 - 6) + 2 + 5)
1
(3 - (7 + -4)) + 34 + -5
29
-19 - (37 + -31 - (13 + 1))
-11
-11 - (0 + -11) - 13
-13
3 + 0 - (9 + 3 + -3 - -13)
-19
15 + (1 - 43) + 14
-13
What is (-27 - (-13 - 32)) + -30?
-12
Calculate (8 - ((0 - -2) + -2)) + 8.
16
What is the value of 2 + (0 - -8) - (4 - 0 - -2)?
4
-213 + 204 + (-2 - 7)
-18
What is the value of 3 + (68 - 40 - 55)?
-24
Evaluate -5 - ((-13 - -5) + -1 + 5 + 1).
-2
4 - ((2 - ((31 - 10) + -12)) + 47)
-36
What is -32 - (-18 + -8 + 9)?
-15
What is the value of (-1 - 1) + -15 + -3 + 27?
7
What is the value of 4 - (-1 + 1) - (-78 + 178 + -82)?
-14
-1 + -5 + -7 + 18 - 17
-12
Calculate 0 - 0 - (1 + 2).
-3
What is the value of 0 + 5 - ((-5 - -8 - 13) + 15)?
0
What is the value of 1 - (8 + 1) - (-12 + 14 + 2)?
-12
Evaluate -17 - (-4 - (3 + 2)) - (11 - 3).
-16
Calculate -14 - 3 - (-30 + 25).
-12
What is the value of (-7 - -13 - -9) + 0 + -8?
7
What is the value of 13 + -4 + (-5 + 3 - -3)?
10
Calculate 1 - ((-7 - -9) + -19).
18
What is 13 - (3 - (-44 - -38 - (0 + 1)))?
3
10 + -3 - 11 - (-3 + -6 + 4)
1
Calculate (3 + 0 - (2 + 2)) + -19 + 25.
5
What is the value of 10 + 28 + (-5 - 27)?
6
What is the value of 13 - 1 - (9 + -6 + 23)?
-14
Calculate (14 - 3) + -11 + 31 - 11.
20
What is -16 - 0 - (-1 + 14 + -19 + 4)?
-14
Calculate (-7 - (-4 - -5)) + -5.
-13
What is the value of (11 - 11) + 12 - 7?
5
(1 - 14) + (-18 - 8)
-39
What is -15 + (-10 - 1) + 17?
-9
Calculate (2 - -1) + -19 + 9.
-7
Calculate -3 - (3 + -1 - (77 - 82)).
-10
3 + 5 + (5 - (15 - 13))
11
10 - (32 + -10 + -2)
-10
What is -8 + 20 + -28 + 16?
0
-1 - (-5 - (11 + -6))
9
What is (10 - 19) + 10 + -9 + 17 + 11?
20
What is the value of -17 + 21 - 5 - -6?
5
What is the value of -13 + 16 + 18 + 20?
41
What is 10 - ((-93 - -94) + 1 + 6)?
2
What is the value of 5 - (-1 + (-5 + 7 - -2) - 10)?
12
What is the value of (82 - 66) + (-6 - 36 - -2)?
-24
-2 + (-6 - (9 + 2))
-19
What is 1 - (2 + 6 + -9 + 18 - 1)?
-15
What is the value of (6 - 6) + 1 - ((0 - -8) + -3)?
-4
1 + 1 + 2 - (-3 + 11 - 11)
7
(-19 - -23) + -7 + -1
-4
What is -9 - (8 + (10 - 18) + (0 - 6))?
-3
What is the value of -22 - -17 - (8 + -1 - -7)?
-19
What is the value of (-1 - 5 - -12) + (4 - 5) + -7?
-2
What is -53 + 2 + (-25 - -50)?
-26
What is the value of -15 - ((28 - 20) + -17)?
-6
-12 + -16 - (14 - 19)
-23
Evaluate 12 - ((-8 + -6 - -9) + 13) - -5.
9
Calculate 7 + -19 + 11 + -9.
-10
What is 25 + (-10 - (7 - 18 - -3))?
23
Evaluate (24 + -22 - 5) + (17 - 1).
13
What is (21 - -14 - 21) + -30?
-16
Calculate -6 + 3 + (-5 - (1 + -6)) + 15.
12
(1 - -1 - (158 - 161)) + 0
5
What is -3 + (-29 - (2 - 22))?
-12
What is the value of 4 + (15 - 7 - (10 - 7)) + 1?
10
Calculate -3 + 1 + (10 - 3) + (1 - 3).
3
Calculate -21 + 16 - (8 - 27).
14
What is the value of -5 + (13 + -17 - -10) - 31?
-30
What is the value of (-9 - -22 - (4 - -34)) + 11?
-14
-2 + 1 + (0 - -1) - (3 + 23)
-26
-2 + -1 + 7 + -7 + 39 + -29
7
Calculate 161 + -140 + (2 - 18).
5
Evaluate 10 - (6 + (0 - -27) + -9 - -7).
-21
Evaluate -1 - -3 - -16 - (-14 + (30 - 14)).
16
Evaluate (0 - 6) + -5 + 10 - (1 + 10).
-12
Calculate 7 - (4 + -19 + 21).
1
-4 + -4 + 23 + -6
9
What is (6 - ((5 - 6) + (2 - -5))) + -2?
-2
(0 - 6) + -113 + 121 + 4 + 26
32
(1 + 12 - (-11 - -19)) + -3 - -5
7
What is (-23 - (-6 - -22)) + 20?
-19
6 + -8 - (-6 - (-6 - -1)) - 3
-4
Calculate 13 + (-57 - -91) + (-23 - -7).
31
(-60 - -52) + (12 - (1 - -1))
2
Evaluate -10 + -133 + 119 + -3 + 21.
-6
What is 17 - (12 + (-10 - -9) - 12)?
18
Evaluate (17 - 9) + (-4 - 14).
-10
What is the value of 6 + -19 + (-14 - (-9 + 0))?
-18
Evaluate -12 - ((-7 - -14) + -18).
-1
Evaluate -4 + 16 + -12 + -2.
-2
Evaluate -1 + 9 + (10 - 4).
14
18 + (4 - -8 - 20)
10
Calculate 90 + -86 + -6 + 3 + 4.
5
What is (-27 - -19) + (2 - -12) - (4 - 4)?
6
What is the value of (0 - -1) + -51 + 51?
1
86 + -102 + 3 + (5 - 3)
-11
What is (10 - (-3 - 2)) + (-3 - (-6 + 3))?
15
Evaluate -2 + -1 + (-108 + 106 - (0 + 5)).
-10
What is the value of -5 - -6 - (-4 - (3 + -2))?
6
Evaluate -51 - -42 - (1 + 7) - (0 - -5).
-22
What is the value of 6 - (7 + -18 + 12)?
5
What is the value of (-4 - (1 + -7) - (2 - 0)) + 15?
15
What is the value of -2 + (-11 - -4) - (0 + -3)?
-6
What is the value of 20 - (8 + 19 + -8 + -4 + -11)?
16
11 + -3 + -8 - (5 + 1 - -1)
-7
Evaluate (0 - 6) + -11 + -26 + 39.
-4
What is the value of 6 - (16 + (13 - (30 + -12)))?
-5
What is the value of -2 + 1 + (22 + -17 - (2 - -6))?
-4
What is 12 - (0 + (8 - 0))?
4
Evaluate 43 - (20 - -10) - (-2 - -12).
3
(26 - 11) + (25 - 22)
18
Calculate (-27 + 8 - -17) + (31 - 15).
14
(-3 - 4) + (16 - (-2 + 8))
3
What is the value of 6 + (25 + -22 - 28)?
-19
What is the value of 16 - (1 + 12) - (2 + 7)?
-6
Evaluate -5 + 1 + 8 + -13 + 8.
-1
What is the value of -2 + -1 - -6 - (9 - (14 + -1))?
7
Calculate 3 + 7 + -2 - (103 - 87).
-8
-4 - -1 - ((-37 - -83) + -39)
-10
5 + (-6 - (9 + (0 - 7))) - 11
-14
What is the value of 6 + -46 + (67 - 4)?
23
Calculate 1 - 13 - -17 - 12.
-7
Evaluate -1 - (4 - 10 - -6).
-1
Evaluate (0 - -18) + -90 + 35 + 25.
-12
What is (-35 - -16) + 26 - (3 + -22)?
26
Calculate -24 + -1 + 0 - (29 + -17 + -6).
-31
What is the value of 4 + (-7 - 0 - (2 - 2))?
-3
What is the value of (-21 - (11 - (14 + -3 - -10))) + 13?
2
Calculate -4 + (-21 - -34) + 2.
11
What is the value of -25 - ((-13 - -44) + -60)?
4
What is the value of (363 - 366) + -1 + 12?
8
What is (-6 - -1) + (8 - 1) + (13 - 28)?
-13
What is 2 - (20 + (-23 - 3))?
8
What is the value of 15 - 0 - (58 + -43 + 7)?
-7
Calculate (-69 - -22) + 55 + -33.
-25
What is the value of -2 + 0 + (9 - (29 + -16) - 1)?
-7
What is the value of -26 - (-23 + -27 + 40)?
-16
(1 - 7) + 33 + -20 + (-1 - -3)
9
Calculate (6 - 25) + 2 + (-2 - -8 - 3).
-14
Evaluate -1 + -7 + -4 + (4 - -16).
8
Evaluate 5 + -1 + (3 - 5) - (233 + -209).
-22
6 + (1 - (18 - 6 - 9))
4
What is -9 - (-19 + -2) - 11 - (0 + 5)?
-4
9 + -7 + -17 - (-32 - 16)
33
Calculate 75 - 102 - (2 + 3 + -2 + -3).
-27
What is 4 + 0 - -1 - 12 - (-7 - -5)?
-5
What is the value of (2 - (-29 - (16 + -9))) + -15?
23
What is (10 + -4 - 17) + (-4 - -1) + 12?
-2
What is (64 - 22 - (-1 - -17)) + (-1 - 5)?
20
Calculate 25 + 19 + -32 - 1.
11
-1 + 17 + (-18 - -19)
17
Evaluate 1 + -1 + (1 - -1) + (5 - 8).
-1
-13 + 2 + (-43 - -60) + -10
-4
What is the value of -1 + (-6 - -7 - (3 - 1) - 10)?
-12
What is -2 - -9 - (151 - 122)?
-22
Evaluate (-7 - ((5 - 5) + -7)) + -18 + 0.
-18
Calculate -3 + -1 - 4 - (10 - (2 + 1)).
-15
What is the value of -15 + (26 + -9 - 4)?
-2
What is the value of 3 + 0 + -4 - (0 + -20 + 11)?
8
-23 + (34 - 14) - -16
13
2 + 22 + 4 + -5 - (50 + -48)
21
Evaluate 18 + (-22 - -10) - 9.
-3
11 + -2 + (-680 - -676)
5
What is the value of (0 - -1) + (-3 - (8 - 15)) - 16?
-11
-13 + 0 - (149 + -162)
0
What is 4 - (0 - -7) - (13 + -6 + -1)?
-9
17 - (-10 - (-8 - -6))
25
Evaluate -377 - -371 - (0 + -12).
6
(6 + 0 - (-15 - (8 + -33))) + -3
-7
Evaluate -12 + -15 + (-16 - -14) + 1.
-28
What is the value of 5 - (-3 + -1 + -23 + 29)?
3
What is the value of (1 - (7 - 5)) + (-14 + 1 - 0)?
-14
(-10 - -2) + (0 - ((18 - 11) + -2))
-13
What is (-37 + 45 - 12) + -17?
-21
What is the value of 11 + (-2 + 0 - (56 - 36))?
-11
Calculate -5 + (-3 + 13 - 13).
-8
(571 - 565) + (-2 - -26)
30
Evaluate 7 - (21 + -13 - (1 + 1 - 10)).
-9
What is 8 + -18 - (-12 - -18)?
-16
Calculate 5 + 29 + -50 + 30.
14
Evaluate 27 + -45 + (8 - 7) + 7.
-10
Calculate 2 + (1 - -6) + -7 + -22.
-20
Evaluate -2 + (-6 - -8 - -7) + -3 + -13.
-9
What is the value of 27 + -1 - (16 + -19) - (-74 - -74)?
29
2 - -6 - (3 + 15 - 11)
1
15 + (7 - (7 + -4 + 15))
4
What is 0 + (1 - 2 - 3) - 4?
-8
What is 16 + -29 - (4 - 27)?
10
14 - (-23 + 26 + (-7 - -8))
10
-78 + 52 - (-2 - 2 | {
"pile_set_name": "DM Mathematics"
} |
t(-10).
-18
Let f(z) = 19*z - 38. Give f(-4).
-114
Let c(u) = -u**3 + 23*u**2 + 25*u - 29. Give c(24).
-5
Let r(g) = -g**3 - 7*g**2 - 3*g - 2. Give r(-5).
-37
Let f(y) = y**2 + y. Calculate f(-3).
6
Let g(b) = b - 24. Give g(6).
-18
Let y(b) = 74*b - 370. Determine y(5).
0
Let p(g) = -17*g - 205. What is p(-12)?
-1
Let x(g) = 3*g**3 - g**2 - 2*g + 2. Determine x(-2).
-22
Let m(n) = n + 1. Give m(2).
3
Let i(y) = -y**3 + 21*y**2 - 39*y + 22. Calculate i(19).
3
Let z(x) = -x**3 - 9*x**2 - 7. What is z(-9)?
-7
Let h(y) = -y**3 - 9*y**2 - 14*y + 8. Give h(-7).
8
Let i(q) = 40*q**3 + q + 1. Give i(-1).
-40
Let c(l) = l**2 - 2*l - 2. Calculate c(4).
6
Let u(s) = 2*s**2 + 13*s - 10. What is u(-7)?
-3
Let i(r) = -r**3 + 3*r**2 - 4*r + 3. Calculate i(4).
-29
Let o(d) = -d**3 - 4*d**2 + 5*d + 1. Determine o(-5).
1
Let t(h) = 6*h - 1. Give t(8).
47
Let g(b) = b**2 + 3*b + 2. Give g(-3).
2
Let q(u) = u**3 - 17*u**2 - 3*u + 50. What is q(17)?
-1
Let b(z) = z**2 - 14*z + 12. Give b(12).
-12
Let a(j) = j**2 + 7*j - 5. Calculate a(0).
-5
Let p(c) = -3*c**2 - 3*c + 26. Calculate p(-6).
-64
Let p(m) = m**2 + 1. Calculate p(4).
17
Let c(i) = -11*i**3 - i**2 + i + 1. Give c(-1).
10
Let x(y) = -11*y + 26. Determine x(9).
-73
Let g(w) = w**2 - 2*w - 55. Determine g(-7).
8
Let o(u) = -u**2 + 16*u - 27. What is o(14)?
1
Let z(d) = -5*d - 3. Determine z(-6).
27
Let j(b) = b**3 - 7*b**2 + 5*b + 8. Give j(6).
2
Let j(h) = -h**3 - 4*h**2 - 4*h - 1. What is j(-3)?
2
Let r(y) = -14*y - 33. Determine r(-2).
-5
Let r(n) = -n**3 + 9*n**2 - 2*n + 22. Determine r(9).
4
Let f(u) = 4*u - 122. Give f(28).
-10
Let w(m) = 16*m + 3. What is w(5)?
83
Let r(t) = 37*t + 519. What is r(-14)?
1
Let u(k) = 8*k - 50. Determine u(6).
-2
Let i(g) = -g**3 + 21*g**2 - 109*g - 11. Determine i(10).
-1
Let i(m) = m**3 - 9*m**2 + 10*m + 16. Determine i(8).
32
Let f(d) = d**3 - 9*d**2 + 10*d - 4. Determine f(8).
12
Let x(r) = 2*r**2 - 2*r. Calculate x(4).
24
Let y(q) = -q**2 - 13*q + 10. What is y(-13)?
10
Let q(z) = -2*z - 5. Give q(11).
-27
Let c(m) = m**3 + 4*m**2 + 3*m - 7. Calculate c(-3).
-7
Let y(i) = 48*i - 2. Calculate y(1).
46
Let v(o) = o**2 + 8*o + 8. Give v(-8).
8
Let c(r) = r**2 - 7*r + 8. Calculate c(6).
2
Let t(z) = -z + 4. Calculate t(0).
4
Let b(o) = -5*o - 2. Determine b(-2).
8
Let j(k) = k**3 + 6*k**2 - 11. What is j(-8)?
-139
Let j(m) = 4*m - 63. Determine j(19).
13
Let s(f) = -f**3 + 25*f**2 - 22*f - 56. What is s(24)?
-8
Let r(k) = k - 16. Calculate r(9).
-7
Let m(b) = -3*b + 10. Give m(9).
-17
Let h(g) = 41*g + 7. Give h(3).
130
Let o(s) = -s**3 + 16*s**2 - 3*s + 29. What is o(16)?
-19
Let o(x) = -x - 16. Calculate o(-13).
-3
Let l(i) = i**3 + 11*i**2 - 26*i - 26. Give l(-13).
-26
Let y(w) = -w - 4. What is y(-13)?
9
Let i(w) = -w**2 - 2*w + 7. What is i(0)?
7
Let l(j) = -4*j**2 + 5*j + 6. What is l(-2)?
-20
Let a(d) = d**3 - 10*d**2 + 4*d + 13. Determine a(9).
-32
Let p(t) = t**3 - 14*t**2 + 18*t - 3. Calculate p(13).
62
Let t(k) = 14*k + 152. What is t(-10)?
12
Let j(o) = 2*o**2 - 7*o - 4. What is j(6)?
26
Let x(q) = q**3 - 11*q**2 - 4*q + 9. Determine x(5).
-161
Let y(m) = -m**2 + 13*m + 6. What is y(-8)?
-162
Let d(m) = 5*m**3 + 2*m**2 + 3*m + 1. Give d(-2).
-37
Let u(s) = 152*s - 450. What is u(3)?
6
Let j(c) = c**3 - 13*c**2 - 3*c + 18. What is j(13)?
-21
Let g(q) = -q**3 + 10*q**2 - 29*q + 4. Determine g(5).
-16
Let a(f) = 4*f**2 - 42*f + 12. Determine a(10).
-8
Let t(h) = -h**2 + 14*h - 7. Give t(13).
6
Let r(j) = -j**2 + 11*j + 7. Determine r(8).
31
Let v(q) = q**2 + 3*q - 58. Determine v(-9).
-4
Let o(c) = -c**3 + 8*c**2 - 6*c - 3. Give o(7).
4
Let b(k) = k**2 - 20*k + 32. Determine b(19).
13
Let s(m) = m**3 + m**2 - m - 1. Give s(2).
9
Let j(b) = -2*b**3 + 3*b**2 - 7*b + 5. Give j(2).
-13
Let y(o) = 4*o + 3. Give y(-7).
-25
Let w(i) = -2*i**2 - 14*i - 7. Give w(-10).
-67
Let l(m) = -68*m - 480. Calculate l(-7).
-4
Let h(v) = -v**3 + 5*v**2 - 3. Calculate h(4).
13
Let b(n) = -3*n**2 + 6. Give b(3).
-21
Let h(w) = -w**2 + 10*w - 3. Give h(6).
21
Let c(x) = -x**2 + 8*x + 11. Calculate c(8).
11
Let x(s) = -58*s - 2. Determine x(-1).
56
Let y(n) = 9*n - 3. Determine y(4).
33
Let n(g) = -g**3 - 2*g**2 + 13*g + 2. Give n(-5).
12
Let z(h) = h**2 + h - 34. What is z(6)?
8
Let u(j) = j**3 + 15*j**2 + 8*j - 36. What is u(-14)?
48
Let a(z) = z**3 + 9*z**2 - 8*z + 5. What is a(-10)?
-15
Let k(b) = -24*b - 330. Calculate k(-14).
6
Let i(o) = 5*o + 3. What is i(4)?
23
Let t(z) = z**2 + 12*z + 31. Calculate t(-8).
-1
Let v(o) = o**3 - 8*o**2 + 2*o + 4. What is v(7)?
-31
Let k(t) = 9*t. Determine k(-4).
-36
Let j(r) = -r**3 + 23*r**2 + 50*r - 29. What is j(25)?
-29
Let p(n) = 8*n - 46. Give p(22).
130
Let b(m) = 8*m**2 + 10*m + 3. Calculate b(-3).
45
Let m(o) = -o**3 + 12*o**2 - 2*o - 1. What is m(12)?
-25
Let b(j) = -j**2 - 10*j - 16. What is b(-7)?
5
Let n(s) = s**3 - 6*s**2 + 3. Determine n(6).
3
Let s(j) = j**3 + 16*j**2 - 16*j + 9. Give s(-17).
-8
Let n(t) = -10*t**2 + t + 5. Give n(-3).
-88
Let i(j) = -j**2 + 7*j - 12. What is i(6)?
-6
Let x(w) = -w**2 + 8*w + 15. Calculate x(10).
-5
Let u(f) = 2*f**2 - 10*f + 9. Give u(6).
21
Let n(r) = -r**2 + 8*r - 8. What is n(8)?
-8
Let j(f) = 9*f**2 - 4*f + 2. What is j(1)?
7
Let y(w) = -w - 16. Determine y(15).
-31
Let d(c) = c**3 - 10*c**2 + 12*c + 7. What is d(9)?
34
Let k(h) = -3*h + 6. Give k(-3).
15
Let a(w) = 72*w - 364. Give a(5).
-4
Let f(c) = c**3 + 11*c**2 - 5*c + 88. Calculate f(-12).
4
Let v(u) = -5*u + 41. Calculate v(5).
16
Let s(a) = 2*a**2 - 2*a - 2. Determine s(6).
58
Let i(b) = b**3 + b**2 + b - 26. Determine i(0).
-26
Let g(v) = -5*v + 98. Calculate g(19).
3
Let x(h) = -h**3 - 11*h**2 - 5*h - 16. Determine x(-11).
39
Let d(c) = c**3 + 8*c**2 + 7*c - 6. What is d(-7)?
-6
Let w(b) = b**3 + 3*b**2 - 7*b + 11. What is w(-5)?
-4
Let k(f) = -f**3 + 5*f + 12. Determine k(-2).
10
Let n(l) = -l**3 + 10*l**2 - 6*l + 18. Determine n(9).
45
Let g(k) = k**3 - 4*k**2 - 5*k + 16. Give g(5).
16
Let z(t) = t**2 - 14*t - 99. Calculate z(19).
-4
Let d(x) = -6*x + 7. Calculate d(4).
-17
Let c(j) = 47*j**3 + j**2 - 2*j. Give c(1).
46
Let a(d) = 4*d - 6. What is a(3)?
6
Let a(o) = -3*o**3 - 5*o**2 + 2*o - 20. Calculate a(-4).
84
Let f(v) = 9*v - 22. Calculate f(6).
32
Let m(b) = b**3 + 13*b**2 + 13*b + 8. What is m(-12)?
-4
Let q(y) = -y**3 - 10*y**2 - y - 4. Calculate q(-10).
6
Let a(z) = -z**2 - 5*z + 16. Give a(-8).
-8
Let t(y) = y**2 - 14*y + 46. Determine t(10).
6
Let c(q) = 7*q - 9. Calculate c(3).
12
Let v(m) = 4*m**3 + m**2 - 2. Determine v(-2).
-30
Let z(o) = 14*o + 126. Determine z(-9).
0
Let l(n) = 15*n**2 + 10*n + 4. Calculate l(-2).
44
Let z(j) = 2*j**3 - 8*j**2 - 28*j + 107. What is z(4)?
-5
Let t(j) = 2*j**3 - 13*j**2 - 7*j - 1. What is t(7)?
-1
Let m(s) = -15*s - 94. Give m(-6).
-4
Let q(p) = -p**3 - 13*p**2 - 25*p - 48. Calculate q(-11).
-15
Let x(c) = c**2 - 28*c + 4. What is x(28)?
4
Let n(s) = 3*s**2 + 9*s - 38. Calculate n(4).
46
Let j(o) = -o + 13. Calculate j(20).
-7
Let t(v) = v + 21. Calculate t(-10).
11
Let b(p) = -p**2 - 3*p - 2. Give b(-5).
-12
Let m(l) = -l**3 - 2*l**2 - l - 4. What is m(-3)?
8
Let k(u) = -33*u + 158. Calculate k(8).
-106
Let g(x) = 4*x - 18. Determine g(9).
18
Let q(k) = -k**3 - 7*k**2 - 3*k + 9. Calculate q(-6).
-9
Let v(w) = w + 46. Give v(-30).
16
Let y(p) = -2*p**2 + 4. Give y(-2).
-4
Let v(x) = 9*x - 533. What is v(59)?
-2
Let f(i) = 5*i - 3. Determine f(-1).
-8
Let y(v) = 4*v**2 + 2*v - 2. Calculate y(2).
18
Let l(f) = -f**3 - 2*f**2 + 2*f + 1. Determine l(-4).
25
Let h(x) = x**2 + 15*x + 18. Determine h(-13).
-8
Let w(a) = a**3 + 11*a**2 - 12*a + 5. What is w(-12)?
5
Let l(j) = j**2 + 4*j + 3. What is l(-4)?
3
Let a(p) = p**3 + 6*p**2 + 8*p + 10. Calculate a(-5).
-5
Let k(p) = -p**2 - 2*p - 8. Give k(-2).
-8
Let j(n) = n - 16. Determine j(0).
-16
Let i(m) = m - 3. Calculate i(-3).
-6
Let w(x) = x + 5. Give w(11).
16
Let d(g) = -g**2 - 2*g + 2. Give d(-8).
-46
Let t(m) = m**3 - 2*m**2 - 8*m + 3. Determine t(5).
38
Let t(k) = -k**2 + 16*k - 100. Calculate t(11).
-45
Let y(u) = 2*u**3 - 6*u**2 - 15*u + 11. Calculate y(5).
36
Let x(r) = r**2 - 11*r - 70. Give x(16).
10
Let r(i) = -i**2 + 9*i - 34. What is r(9)?
-34
Let s(d) = 5*d + 111. Calculate s(-23).
-4
Let h(j) = j + 16. Determi | {
"pile_set_name": "DM Mathematics"
} |
8*w - 4 = 20*w for w.
-2
Solve 0 = -2361*b + 2381*b - 120 for b.
6
Solve 6*t + t + 28 = 0 for t.
-4
Solve -52*q + 48*q = 8 for q.
-2
Solve -2*l = -7*l + 15 for l.
3
Solve -3*j + 5*j - 4 = 0 for j.
2
Solve -280*q + 264*q = 64 for q.
-4
Solve -4*t + 3*t = 4*t for t.
0
Solve 0 = -12*s - 41 + 41 for s.
0
Solve 15*q - 8*q = -7 for q.
-1
Solve -10 = -16*f + 70 for f.
5
Solve 8*i - 108 = -92 for i.
2
Solve -28*x + 286 = 90 for x.
7
Solve 0 = 43*d + 77 + 52 for d.
-3
Solve 1226 = -k + 1221 for k.
-5
Solve 454 = 26*v + 714 for v.
-10
Solve -1004 + 968 = 6*c for c.
-6
Solve 0 = -9*l + 9 + 18 for l.
3
Solve 20*k + 84 = -8*k for k.
-3
Solve 12 = -81*u + 84*u for u.
4
Solve 367*k - 108 = 385*k for k.
-6
Solve 0 = -38*z + 37 + 77 for z.
3
Solve 0 = 3*k - 12*k + 54 for k.
6
Solve -10*p = 8*p - 5*p for p.
0
Solve 76*o - 106*o = 60 for o.
-2
Solve 52 = -5*j + 87 for j.
7
Solve c = 79 - 80 for c.
-1
Solve -4 = 213*u - 215*u for u.
2
Solve -776 = 12*m - 728 for m.
-4
Solve 0 = 22*y + 8*y - 0*y for y.
0
Solve 4 - 12 = -2*q for q.
4
Solve 2*n - 7 = -3 for n.
2
Solve -5*r - 50 + 40 = 0 for r.
-2
Solve 36*f - 75 - 69 = 0 for f.
4
Solve 16 = 121*k - 117*k for k.
4
Solve -20*w + 33*w + 91 = 0 for w.
-7
Solve -4 = 29*p + 83 for p.
-3
Solve 2*q + 10 = 7*q for q.
2
Solve 33*n - 26*n = 35 for n.
5
Solve 65 + 11 = -38*m for m.
-2
Solve -297*x + 298*x = -2 for x.
-2
Solve 170 = w + 171 for w.
-1
Solve 13*q = 4*q for q.
0
Solve 4*o = 5*o for o.
0
Solve 83*y - 76*y = 35 for y.
5
Solve 0*y = -10*y - 40 for y.
-4
Solve 30*a + 372 = 162 for a.
-7
Solve 0 = -17*o + 11*o for o.
0
Solve 11*b - 14 + 25 = 0 for b.
-1
Solve -35*g + 155 = 435 for g.
-8
Solve 237*b - 30 = 227*b for b.
3
Solve 163*g + 981 = -160 for g.
-7
Solve -72*r = -63*r + 72 for r.
-8
Solve 10*b - 26*b = -12*b for b.
0
Solve 13*z - 111 + 150 = 0 for z.
-3
Solve -14*p + 1 = -13*p for p.
1
Solve -106*s = -96*s for s.
0
Solve 127 + 283 = 41*y for y.
10
Solve c + 117 = 114 for c.
-3
Solve 0 = 4*w + 30 - 42 for w.
3
Solve -6*u - 39 = -19*u for u.
3
Solve 20*r = -37 - 3 for r.
-2
Solve -16*k - 35 = -9*k for k.
-5
Solve -8*y - 156 = -84 for y.
-9
Solve -8*g = 24 + 16 for g.
-5
Solve 0 = 16*s - 6*s - 20 for s.
2
Solve -266 = 65*q - 71 for q.
-3
Solve 0 = -5*c + 40 - 25 for c.
3
Solve -22*v + 45 = -7*v for v.
3
Solve 0 = 5*d - 1245 + 1205 for d.
8
Solve -28*y - 10 = 18 for y.
-1
Solve -c + 5*c = -12 for c.
-3
Solve 59*u = 57*u + 6 for u.
3
Solve 0 = 5*g - 0*g - 10 for g.
2
Solve 5*s + 7 = -13 for s.
-4
Solve -41*y - 19 = -22*y for y.
-1
Solve 7 = -5*l + 27 for l.
4
Solve 15*l = 18*l - 3 for l.
1
Solve 100*m - 51 = 117*m for m.
-3
Solve 8*m = -64 + 32 for m.
-4
Solve 21 = -14*d - 7 for d.
-2
Solve -142 = -15*p - 52 for p.
6
Solve y - 18 = -14 for y.
4
Solve 295*f = 299*f + 12 for f.
-3
Solve -r = -0 - 4 for r.
4
Solve 0 = -46*m + 49*m for m.
0
Solve 270 = -3*q + 291 for q.
7
Solve -15*n + 8*n = 0 for n.
0
Solve 2 = -3*f + 14 for f.
4
Solve 0 = -12*b - 16*b - 84 for b.
-3
Solve -4*q + 25 - 13 = 0 for q.
3
Solve 0 = 49*g - 24*g + 25 for g.
-1
Solve 0 = -4*l + 12 + 4 for l.
4
Solve 62 = -10*a - 8 for a.
-7
Solve 25*x = 24 + 151 for x.
7
Solve -10*s - 6 = -12*s for s.
3
Solve 0 = -4*x - 2 - 18 for x.
-5
Solve -286 = 8*s - 254 for s.
-4
Solve 14 - 5 = 3*g for g.
3
Solve 11*s = -17 - 16 for s.
-3
Solve 368 = 31*b + 15*b for b.
8
Solve -206*f + 199*f + 77 = 0 for f.
11
Solve 5*v + 6 - 26 = 0 for v.
4
Solve 2 = 5*y - 3 for y.
1
Solve 46*b - 23*b + 92 = 0 for b.
-4
Solve -414 = -6*f - 420 for f.
-1
Solve -6*j + 7*j = 2 for j.
2
Solve -2*q + 40 = 50 for q.
-5
Solve 3*l - 2 = 7 for l.
3
Solve -34*f + 24 = -46*f for f.
-2
Solve 0*t + 90 = 15*t for t.
6
Solve 29*w = -20*w + 98 for w.
2
Solve 0 = -0*x - x + 3 for x.
3
Solve 0 = -3*c - 98 + 101 for c.
1
Solve 100*j - 99*j + 6 = 0 for j.
-6
Solve 9 + 56 = -13*u for u.
-5
Solve 2*b = -17 + 23 for b.
3
Solve -3*g + 32 = 26 for g.
2
Solve -72 = -301*q + 293*q for q.
9
Solve -a + 6*a + 15 = 0 for a.
-3
Solve 232 = 124*d - 140 for d.
3
Solve 2 = -5*o - 3 for o.
-1
Solve -8*w + 1 = 9 for w.
-1
Solve 216 = -172*n + 118*n for n.
-4
Solve -1 = 12*i + 11 for i.
-1
Solve -36*l = -32*l + 4 for l.
-1
Solve 57*p = 63*p - 24 for p.
4
Solve 59*v = 34*v for v.
0
Solve -15*q + 88 = 28 for q.
4
Solve 10*d + 2704 = 2644 for d.
-6
Solve -722*n + 720*n + 4 = 0 for n.
2
Solve 6 = 1631*y - 1629*y for y.
3
Solve 93*d + 28 = 100*d for d.
4
Solve 39*s = 122*s - 332 for s.
4
Solve 0 = 5*a - 15 + 10 for a.
1
Solve -205 + 69 = -68*d for d.
2
Solve 0 = 12*c - 14*c for c.
0
Solve 204*z - 5 = 205*z for z.
-5
Solve 24*t = 11*t - 65 for t.
-5
Solve -4*x - 32 = -16 for x.
-4
Solve -1300*a = -1295*a - 10 for a.
2
Solve -8*h + 9 = -5*h for h.
3
Solve -1162 = -29*m - 930 for m.
8
Solve 0 = -14*n + n - 65 for n.
-5
Solve 1897 - 1907 = 5*a for a.
-2
Solve -5*m + 3 + 7 = 0 for m.
2
Solve 4 = -7*h - 3 for h.
-1
Solve 0 = 7*y - 2*y - 0*y for y.
0
Solve 368 = 9*h + 323 for h.
5
Solve -12*m - 61 = -109 for m.
4
Solve 8 - 2 = -6*j for j.
-1
Solve 47*o - 42*o = 0 for o.
0
Solve f + 9 = -2*f for f.
-3
Solve -10 = -7*s + 5*s for s.
5
Solve -12*x + 59 = -1 for x.
5
Solve 0 = 34*i - 20*i + 112 for i.
-8
Solve 57*u - 12*u + 315 = 0 for u.
-7
Solve -h - 369 = -374 for h.
5
Solve -20*p + 102*p + 164 = 0 for p.
-2
Solve -34*v + 292 - 20 = 0 for v.
8
Solve -122 = 4*x - 142 for x.
5
Solve 268*q - 260*q = -16 for q.
-2
Solve 96 = 364*l - 376*l for l.
-8
Solve 0 = -107*t + 103*t + 20 for t.
5
Solve 4 = 3*r + r for r.
1
Solve 85*d - 84*d = -3 for d.
-3
Solve 413 = 47*y + 131 for y.
6
Solve 40 = -99*i + 79*i for i.
-2
Solve 0 = -68*f + 66*f + 12 for f.
6
Solve 74*g = 17*g + 228 for g.
4
Solve -51*a + 75*a - 240 = 0 for a.
10
Solve 4*k + 20 = 8 for k.
-3
Solve -22 = -3*z - 16 for z.
2
Solve 0 = 27*u + 78 + 3 for u.
-3
Solve 0 = 22*q - 27*q - 30 for q.
-6
Solve -3 = -5*t + 12 for t.
3
Solve -21*y + 80 = -37*y for y.
-5
Solve 0 = -2*j - 0*j - 16 for j.
-8
Solve 7*w + 1 = -20 for w.
-3
Solve 0*o - 4*o + 20 = 0 for o.
5
Solve 13*m = -21*m - 5*m for m.
0
Solve 5*m = -1 + 21 for m.
4
Solve -3*r + 5 = 5 for r.
0
Solve 0 = -14*v - 6 - 8 for v.
-1
Solve -10*b = -9*b + 3 for b.
-3
Solve 804*a = 800*a + 16 for a.
4
Solve -d + 9 = -4*d for d.
-3
Solve -65*b = -70*b - 10 for b.
-2
Solve 30*q - 32 = 88 for q.
4
Solve -210*u + 215*u = 0 for u.
0
Solve -6*z = -z - 10 for z.
2
Solve -31*s - 12*s = -301 for s.
7
Solve -6*p = -14*p + 40 for p.
5
Solve 3 + 15 = -6*q for q.
-3
Solve -34 = 6*g - 22 for g.
-2
Solve 18 = 8*x + 10*x for x.
1
Solve 5*n - 10 - 15 = 0 for n.
5
Solve 0 = 7*z + 829 - 850 for z.
3
Solve -95 = -41*q + 22*q for q.
5
Solve 0 = -2*r - 1 - 7 for r.
-4
Solve -4912*s + 4899*s - 91 = 0 for s.
-7
Solve -39*u + 19*u = -40 for u.
2
Solve -18 - 4 = -11*d for d.
2
Solve 69*h - 75*h = -18 for h.
3
Solve 0 = -6*t - 0*t + 24 for t.
4
Solve 13*f + 15 = 10*f for f.
-5
Solve -127*i = -122*i - 15 for i.
3
Solve 0 = 9*v - 101 + 74 for v.
3
Solve 85 = 28*x - 83 for x.
6
Solve -3418*m - 110 = -3429*m for m.
10
Solve 10*b - 48 + 18 = 0 for b.
3
Solve 7*u - u = 24 for u.
4
Solve -4*x - 5 = 3 for x.
-2
Solve 157 - 212 = 11*x for x.
-5
Solve 110 = 17*d + 25 for d.
5
Solve 49*g = 39*g + 110 for g.
11
Solve 16*u - 143 = -47 for u.
6
Solve -42*q + 34*q = 40 for q.
-5
Solve -24 = 3*m + 3*m for m.
-4
Solve -357*l - 84 = -343*l for l.
-6
Solve 1018 - 37 = 109*d for d.
9
Solve 16 = 9*q + 43 for q.
-3
Solve -8*c + 44 = 92 for c.
-6
Solve -64*f = 156 + 420 for f.
-9
Solve 0 = 590*u - 565*u - 250 for u.
10
Solve 6*n = -0*n - 6 for n.
-1
Solve 6*k = 2*k - 3*k for k.
0
Solve -44*u + 51*u = 63 for u.
9
Solve 129*t + 30 = 119*t for t.
-3
Solve -2*m + 16 = 2*m for m.
4
Solve 34*n = 40*n + 6 for n.
-1
Solve 110 = 3*z + 95 for z.
5
Solve -121 + 113 = 2*f for f.
-4
Solve -15 - 109 = 31*r for r.
-4
Solve 30*m = 42*m + 48 for m.
-4
Solve -15*d = 30 + 30 for d.
-4
Solve 0 = 4*l - 9*l - 25 for l.
-5
Solve 0 = -69*s + 62*s - 7 for s.
-1
Solve -22*a + 3*a = 0 for a.
0
Solve -6*o - 289 = -337 for o.
8
Solve -58*f = -56*f + 6 for f.
-3
Solve -176 = -31*o - 52 for o.
4
Solve -9*c + 57 = 12 for c.
5
Solve x = 87 - 78 for x.
9
Solve -50*a + 9 = -47*a for a.
3
Solve 7*g + 50 = -3*g for g.
-5
Solve 6*p - 4 = 10*p for p.
-1
Solve 599*u - 594*u + 30 = 0 for u.
-6
Solve -25 - 5 = -6*u for u.
5
Solve 0 = - | {
"pile_set_name": "DM Mathematics"
} |
23
Four letters picked without replacement from biiiib. Give prob of picking 2 b and 2 i.
2/5
Three letters picked without replacement from {b: 7, m: 1}. What is prob of picking 2 b and 1 m?
3/8
What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 3, p: 1, d: 4, q: 1, b: 1, j: 5}?
1/35
Three letters picked without replacement from {l: 12, j: 3}. What is prob of picking 3 l?
44/91
Three letters picked without replacement from tzrttrtrttczrrtct. Give prob of picking 2 c and 1 z.
1/340
Calculate prob of picking 1 i and 1 r when two letters picked without replacement from irnnrinirl.
1/5
What is prob of picking 1 l and 2 c when three letters picked without replacement from {l: 4, c: 6}?
1/2
Four letters picked without replacement from ncncnncnnncnncnnnnn. Give prob of picking 3 n and 1 c.
455/969
Two letters picked without replacement from {j: 7, b: 2, m: 11}. What is prob of picking 1 j and 1 b?
7/95
Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {g: 1, h: 1, o: 1, d: 1, u: 1}.
1/10
What is prob of picking 1 q and 1 l when two letters picked without replacement from alllqluu?
1/7
Calculate prob of picking 1 k and 2 g when three letters picked without replacement from {z: 2, g: 2, k: 1, f: 1}.
1/20
Calculate prob of picking 2 m when two letters picked without replacement from {m: 7}.
1
Three letters picked without replacement from ddddddxzyzydydhdrhd. What is prob of picking 1 h, 1 x, and 1 z?
4/969
Two letters picked without replacement from titwwrttt. Give prob of picking 1 w and 1 r.
1/18
Two letters picked without replacement from {r: 1, n: 2, s: 3, k: 6, h: 3}. What is prob of picking 1 h and 1 k?
6/35
Three letters picked without replacement from gugbcbcuucccc. What is prob of picking 1 u, 1 b, and 1 g?
6/143
Two letters picked without replacement from {a: 1, m: 1, g: 2, y: 13}. What is prob of picking 2 y?
39/68
Three letters picked without replacement from hkzbhkx. What is prob of picking 2 k and 1 h?
2/35
What is prob of picking 1 r and 2 p when three letters picked without replacement from zprp?
1/4
Calculate prob of picking 1 z, 1 n, and 1 g when three letters picked without replacement from {z: 3, g: 3, n: 1, b: 1, v: 2}.
3/40
What is prob of picking 3 c when three letters picked without replacement from cwcwcccc?
5/14
What is prob of picking 1 b and 1 u when two letters picked without replacement from xuhguxbuluxxx?
2/39
Calculate prob of picking 1 g and 3 f when four letters picked without replacement from {f: 5, w: 6, e: 1, c: 3, g: 2}.
1/119
What is prob of picking 2 j when two letters picked without replacement from nijnjjjii?
1/6
Calculate prob of picking 3 y and 1 d when four letters picked without replacement from {w: 11, y: 4, d: 1, c: 1}.
1/595
Four letters picked without replacement from {r: 7, h: 12}. What is prob of picking 2 h and 2 r?
231/646
Calculate prob of picking 1 l, 1 c, and 1 v when three letters picked without replacement from {n: 4, l: 2, v: 1, x: 4, e: 2, c: 6}.
4/323
Three letters picked without replacement from {g: 3, m: 3, c: 2}. What is prob of picking 1 c and 2 m?
3/28
Three letters picked without replacement from oopppppppoppoo. Give prob of picking 3 p.
3/13
Calculate prob of picking 1 c and 1 z when two letters picked without replacement from cczwwcwcwwwqzw.
8/91
Two letters picked without replacement from xlpwzzpuzwuz. Give prob of picking 1 w and 1 u.
2/33
Four letters picked without replacement from qqqsqvnqqynv. Give prob of picking 2 y, 1 s, and 1 v.
0
Two letters picked without replacement from aaaaaa. What is prob of picking 2 a?
1
Two letters picked without replacement from eegc. What is prob of picking 1 g and 1 c?
1/6
Four letters picked without replacement from {o: 7, u: 2}. What is prob of picking 2 o and 2 u?
1/6
What is prob of picking 1 b and 1 p when two letters picked without replacement from wpberub?
2/21
What is prob of picking 1 q and 2 g when three letters picked without replacement from {g: 7, q: 2}?
1/2
What is prob of picking 1 o and 2 l when three letters picked without replacement from {r: 1, l: 2, w: 1, o: 1, p: 1, a: 1}?
1/35
Four letters picked without replacement from cxvszjvz. Give prob of picking 1 c, 2 v, and 1 j.
1/70
Two letters picked without replacement from iiiw. Give prob of picking 2 i.
1/2
What is prob of picking 1 u and 2 i when three letters picked without replacement from ibiujibubu?
3/40
Three letters picked without replacement from {r: 2, s: 10, y: 2}. Give prob of picking 1 r and 2 y.
1/182
Three letters picked without replacement from {o: 3, d: 2, x: 1, e: 1, t: 1, a: 11}. What is prob of picking 1 d, 1 t, and 1 e?
2/969
Calculate prob of picking 4 a when four letters picked without replacement from {m: 1, a: 4, x: 3}.
1/70
Calculate prob of picking 1 j, 1 w, 1 f, and 1 r when four letters picked without replacement from jwfrj.
2/5
Two letters picked without replacement from fqq. Give prob of picking 2 q.
1/3
Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, g: 4, q: 6, y: 3}.
3/91
Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {n: 4, d: 5, l: 3}.
3/22
Four letters picked without replacement from zqvzvrz. Give prob of picking 1 r, 2 z, and 1 v.
6/35
Three letters picked without replacement from {c: 4, o: 7, u: 5}. Give prob of picking 1 o and 2 c.
3/40
Four letters picked without replacement from {h: 1, n: 1, e: 6, y: 1, d: 5, u: 2}. What is prob of picking 1 u, 2 d, and 1 h?
1/91
Four letters picked without replacement from hhiihhiihhhihhihihh. What is prob of picking 3 h and 1 i?
385/969
Four letters picked without replacement from {x: 1, f: 6, s: 3, m: 4}. What is prob of picking 2 m and 2 s?
18/1001
Two letters picked without replacement from {j: 2, y: 1}. Give prob of picking 1 y and 1 j.
2/3
Four letters picked without replacement from ucpuppppuxpuuch. Give prob of picking 1 c, 1 h, 1 u, and 1 p.
4/91
Calculate prob of picking 3 z when three letters picked without replacement from zdddzddddddzdddd.
1/560
Three letters picked without replacement from {u: 3, b: 2, x: 4, v: 1, k: 3, h: 6}. Give prob of picking 1 h and 2 x.
12/323
What is prob of picking 2 y and 2 c when four letters picked without replacement from {c: 12, y: 3}?
66/455
Three letters picked without replacement from {f: 4, x: 2, z: 5, t: 2, q: 1}. What is prob of picking 2 z and 1 f?
10/91
Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {u: 5, o: 3, d: 1, q: 1}.
1/9
Calculate prob of picking 4 k when four letters picked without replacement from {k: 5, f: 8}.
1/143
Two letters picked without replacement from {l: 15, f: 5}. What is prob of picking 1 l and 1 f?
15/38
Calculate prob of picking 2 g and 2 n when four letters picked without replacement from {g: 3, n: 2}.
3/5
Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {w: 10, j: 1, z: 4, n: 2}.
1/17
Three letters picked without replacement from nnyynqynqqy. Give prob of picking 1 q and 2 y.
6/55
Four letters picked without replacement from bvbbbbbppbpbpb. Give prob of picking 1 p, 1 v, and 2 b.
144/1001
What is prob of picking 2 d and 2 w when four letters picked without replacement from wdizddddiwd?
1/22
What is prob of picking 2 w and 1 m when three letters picked without replacement from wwwmwwwmwbwmbbmm?
1/4
Calculate prob of picking 1 u and 1 j when two letters picked without replacement from nwwuj.
1/10
Calculate prob of picking 3 n when three letters picked without replacement from {n: 9}.
1
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {t: 4, n: 3, l: 5, g: 1}.
10/39
Two letters picked without replacement from rkdroxr. Give prob of picking 1 d and 1 k.
1/21
Four letters picked without replacement from bfblyybyxxyyfyqbyfyq. What is prob of picking 2 y, 1 f, and 1 x?
56/1615
What is prob of picking 1 o and 1 x when two letters picked without replacement from {x: 1, k: 1, c: 1, o: 1, m: 1}?
1/10
Four letters picked without replacement from {x: 1, f: 3, w: 5, i: 9}. What is prob of picking 2 f, 1 i, and 1 x?
3/340
Three letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
25*a**2 + 13*a - 13. Give 6*m(t) + 13*n(t).
6*t**2
Let c(o) = -4*o**3 + 14*o**2 + 6*o + 6. Let p be 2517/30 + 2/20. Let n be 3*(-35)/p*(1 + 3). Let k(s) = 3*s**3 - 13*s**2 - 5*s - 5. Determine n*c(u) - 6*k(u).
2*u**3 + 8*u**2
Let t(g) = -6709*g - 6. Let w(j) = 33562*j + 33. Determine 11*t(l) + 2*w(l).
-6675*l
Let l(h) = -h**3 + 3*h**2 + h - 2. Let p(t) = -2972*t**3 + 21*t**2 + 7*t - 14. What is -7*l(c) + p(c)?
-2965*c**3
Let d(u) = 71*u**2 - 15*u**2 - 55*u**2. Let l(o) = -10*o**2 + 6. Give -22*d(h) - 2*l(h).
-2*h**2 - 12
Let w(d) = 19 + 5 + 10 + 24*d + 17*d. Let m be w(-1). Let c(q) = -q + 2. Let b(a) = -2*a + 3. Calculate m*c(p) + 3*b(p).
p - 5
Let x(m) = 35*m**2 - 75*m - 3. Let s(i) = -35*i**2 + 98*i + 2. Let k(l) = 3*s(l) + 4*x(l). Let o(c) = -35*c**2 + 7*c + 7. Determine -7*k(g) - 6*o(g).
-35*g**2
Let w(x) = x**2 + 4*x - 13. Let a(i) be the second derivative of i**3/6 - 2*i**2 + 1471*i. Calculate -7*a(d) + 2*w(d).
2*d**2 + d + 2
Let a(m) = m**2 - 4*m - 1. Let k(c) be the second derivative of -11/6*c**3 - 211*c + 0 - c**2 + 1/4*c**4. Determine 11*a(l) - 4*k(l).
-l**2 - 3
Suppose 2*l - 4 = -0. Let z(r) be the second derivative of 7*r**3/2 + 9*r**2/2 + 8748*r. Let t(a) = -5*a - 2. Determine l*z(s) + 9*t(s).
-3*s
Let j(f) = 567 - 1705 + 581 - 3*f + 571. Let m(g) = 10*g - 43. Calculate 14*j(i) + 4*m(i).
-2*i + 24
Let w(i) = 10*i + 9. Let b(t) = -17*t - 10. Let n(s) = -12*s - 7. Let h(p) = 5*b(p) - 7*n(p). Calculate 22*h(x) + 2*w(x).
-2*x - 4
Let u be 0 + 3 + (1 - -3 - 0). Let s(h) = -20*h**3 - 6*h**2. Let c(w) = -19*w**3 - 7*w**2. Determine u*s(d) - 6*c(d).
-26*d**3
Let k(n) = -2*n + 8. Let q be k(0). Let a(w) = 9*w + 3. Let m(f) = -3*f - 1. Let c be (31 - -11)/(-7) - -9. Calculate c*a(u) + q*m(u).
3*u + 1
Let a(k) = 15*k**2 + 9*k + 12. Let i be a(-2). Suppose 56*l = i*l + 10. Let f(r) = 3*r**3 + 2*r. Let j(o) = 2*o**3 + o + 2*o**3 + o. Calculate l*f(z) - 4*j(z).
-z**3 + 2*z
Let c(t) = -4087*t**2 - 21*t. Let w(x) = 2*x**2 - 3*x. Calculate -c(b) + 7*w(b).
4101*b**2
Let u(n) = -3640*n + 15. Let p(f) = 36399*f - 158. What is 2*p(x) + 21*u(x)?
-3642*x - 1
Let z(w) = 1973*w - 10. Let c(r) = r**2 + 2*r + 5. Calculate 2*c(q) + z(q).
2*q**2 + 1977*q
Let h(c) = c**2 - 948*c - 5. Let x(u) = u - 1. Give h(d) - 5*x(d).
d**2 - 953*d
Let n(c) = 5*c**2 + c + 4. Suppose -4 = -4*d - 4*g, d + g - 4 = -g. Let y be (-2)/8 + (-2145)/44. Let o = y + 58. Let i(j) = j**2 + 1. What is d*n(t) + o*i(t)?
-t**2 - 2*t + 1
Let m(r) = 2545*r + 112. Let g(f) = 38173*f + 1652. Give 4*g(q) - 59*m(q).
2537*q
Let g(i) = i**3 + i**2 - i. Suppose b = 18*f - 23*f - 4, 5*b = f - 20. Let n(l) = -9*l**3 - 4*l**2 + 5*l. Calculate b*g(j) - n(j).
5*j**3 - j
Let a(g) = -g**3 + g**2 - g. Suppose 638 = -117*o - 25*o + 70. Let k(v) = -v**3 + 5*v**2 - 8*v + 1. Calculate o*a(h) + k(h).
3*h**3 + h**2 - 4*h + 1
Let m(x) = 7*x**3 - 5*x**2 - 6*x - 8. Let k(a) = -52*a**2 + 25*a**2 + 7*a - 10*a**3 - 4 + 2*a**3 + 13 + 33*a**2. Calculate -6*k(z) - 7*m(z).
-z**3 - z**2 + 2
Let a(t) = t + 1. Let h be (-3)/(-6)*-2*-1. Let f(l) = 8*l + 9. Let x(m) = -m**2 - m + 126. Let d be x(-12). Give d*a(n) + h*f(n).
2*n + 3
Let c(r) = r**2 - r - 1. Let j(s) = 2*s + 5 + 1 + s - 2*s**2. Let z = -405193 - -405198. Give z*c(d) + j(d).
3*d**2 - 2*d + 1
Suppose 0 = -63*c + 48*c - 23*c + 152. Let m(s) = -s + 17. Let d(k) = -3*k + 51. Calculate c*d(v) - 11*m(v).
-v + 17
Let l(v) = 14*v**2 + 55*v - 27. Let w(b) = 15*b**2 + 56*b - 18. Determine 2*l(t) - 3*w(t).
-17*t**2 - 58*t
Let a(i) = -19810*i - 83. Let k(f) = 5660*f + 23. What is 5*a(y) + 18*k(y)?
2830*y - 1
Let u(k) = -4*k + 1. Suppose -2*v - 2*v = 5*s - 30, v + 12 = 2*s. Let a(x) = 2*x + 6. Let y(f) = -3*f - 6. Let d(o) = a(o) + y(o). What is s*d(h) - u(h)?
-2*h - 1
Let n(y) = 4*y**3 - 12*y**2 - 542*y - 4. Let j(a) = -9*a**3 + 30*a**2 + 1082*a + 10. Give -2*j(r) - 5*n(r).
-2*r**3 + 546*r
Let l(k) = 2*k - 1. Let d be 14/(-4)*240/(-84)*38/(-76). Let h(w) = -w. Give d*h(p) - 4*l(p).
-3*p + 4
Let y(x) = -9*x**3 + 7*x**2 + 7*x - 1. Let c(p) = -37*p**3 + 31*p**2 + 29*p - 4. Determine -4*c(t) + 18*y(t).
-14*t**3 + 2*t**2 + 10*t - 2
Let o(k) = -12*k + 3 - 3 - 5. Let u(s) = s**3 + 32*s**2 - 3*s + 17. Let m be u(0). Let x(f) = -35*f - 14. Calculate m*o(v) - 6*x(v).
6*v - 1
Let p(v) = -4*v + 3 + v + 1. Let u be 31/11 + 2 + (-60)/33. Let i(z) = u*z - 8*z + 5 + 10*z - 9*z. Give -4*i(s) + 5*p(s).
s
Let q be 1 + 2 + 10/(-2). Let p(y) be the third derivative of -y**6/60 + y**3/3 - 979*y**2 - y + 8. Let g(o) = -1. Give q*g(f) - p(f).
2*f**3
Let v(g) = g + 38. Let z(j) = 4*j + 200. Let a(t) = -5*v(t) + z(t). Let r(l) = -3*l + 30. Determine 11*a(h) - 4*r(h).
h - 10
Let d(c) = 5*c + 2. Let w(b) = -4*b - 2. Let z = -392 + 393. Suppose -o + z = 0, -26*o = 5*y - 21*o + 10. Calculate y*d(m) - 4*w(m).
m + 2
Let p(z) = z + 3. Let r(w) = 15*w + 40. Let v(y) = 3*y + 8. Let t(n) = -2*r(n) + 11*v(n). Let s be (21*(-18)/(-819))/((-5)/(-65)). Determine s*t(b) - 17*p(b).
b - 3
Let b(f) = 53*f**2 - 51*f - 3. Let a(n) = 83*n**2 - 77*n - 5. Give 5*a(j) - 8*b(j).
-9*j**2 + 23*j - 1
Let o(d) = -54*d + 7. Let u(a) = 244*a - 32. Give -22*o(z) - 5*u(z).
-32*z + 6
Let i(w) = -25*w - 7. Suppose -5*b + 50 = -4*d, -4*b + 2*b - 5*d = 13. Suppose -44 = -10*z + b. Let k(m) = 12*m + 3. Calculate z*k(q) + 2*i(q).
10*q + 1
Let d(f) = -44*f. Let h be (-18)/(-261) - 286/(-58). Let z(a) = -h*a + a + a + 8*a. Give -6*d(v) - 52*z(v).
4*v
Let t(z) = 717*z**3 - 3*z**2 - 30*z + 2. Let q(m) = -2152*m**3 + 8*m**2 + 80*m - 6. What is 3*q(c) + 8*t(c)?
-720*c**3 - 2
Let v(s) be the second derivative of -1/3*s**3 + 1/10*s**5 + 2 - 20*s + 0*s**2 + 1/3*s**4. Let z(g) = 4*g**3 + 7*g**2 - 3*g. Calculate 5*v(r) - 3*z(r).
-2*r**3 - r**2 - r
Let u(d) = d**3 + 4*d**2 - 4*d + 5. Suppose -103 = -9*j + 41. Suppose 6 = -14*z + j*z. Let m(w) = 2*w**3 + 3*w**2 - 3*w + 4. Calculate z*u(a) - 4*m(a).
-5*a**3 - 1
Let q(v) = v + 4. Let m(a) = 5*a**3 - 26*a**2 + 52*a - 239. Let y be m(5). Let d be -1*12*(-1)/4. Let j(k) = k + 3. Determine d*q(g) + y*j(g).
-g
Let i(b) = 2 - 4*b**2 - 2 + 3*b**2. Let j(u) = -u**3 + 6*u**2. Suppose -113*n - 14 + 59 = 723. What is n*i(v) - j(v)?
v**3
Suppose -5*u = 208 - 28. Let o(w) = -1017598 - 7*w + 20*w**3 + 1017598 + 18*w**2 - 11*w. Let d(s) = -s**3 - s**2 + s. Give u*d(g) - 2*o(g).
-4*g**3
Let j(t) be the first derivative of 7*t**3/3 + 5*t**2/2 + 15*t - 56. Let p(w) = -8*w**2 - 6*w - 15. Determine -6*j(f) - 5*p(f).
-2*f**2 - 15
Let p(t) = -6*t - 696. Let m(i) = -5*i - 695. Calculate -4*m(a) + 3*p(a).
2*a + 692
Let d(u) = 33*u**2 + 4*u + 4. Let s(y) be the first derivative of 65*y**3/3 + 7*y**2/2 + 7*y + 1825. Give 7*d(o) - 4*s(o).
-29*o**2
Let j(u) = 127 - 131 + 14*u - 18*u + 3*u**3. Let g(c) = 56*c**3 - 77*c - 77. Let v = 2 - 6. Give v*g(w) + 77*j(w).
7*w**3
Let v(m) = 6*m**3 - 6*m**2 + 4*m + 36. Let b(o) = o**3 - 2*o**2 + o + 11. Give 10*b(l) - 3*v(l).
-8*l**3 - 2*l**2 - 2*l + 2
Let h(c) = -2*c + 1. Suppose -48 - 6 = -6*u. Let y be 2*(-12)/u - (-2)/3. Let r(m) = -m + 1. What is y*r(t) + 3*h(t)?
-4*t + 1
Suppose -1 = -3*d + 5*a, 3*d + 5*a = 9*a + 2. Let j(x) = 145*x + 137*x - d - 283*x. Let s(p) = -2*p - 3. Give 3*j(f) - 2*s(f).
f
Let z(n) = 6*n**3 - 3*n**2 - 5*n - 6. Suppose -b + 13 = 3*h + 7, -4*b + 8 = -4*h. Let k(i) = -11*i**3 + 5*i**2 + 9*i + 11. What is b*k(m) + 5*z(m)?
-3*m**3 + 2*m + 3
Let j(u) = -11*u**3 - 21*u**2 - 3. Let f(g) = 6*g**3 + 11*g**2 + 2. Let x(s) = -6*s**2 - 354*s - 7. Let i be x(-59). Calculate i*f(z) - 4*j(z).
2*z**3 + 7*z**2 - 2
Let w(p) = -12*p + 758. Let d(u) = 13*u - 771. Give -13*d(b) - 14*w(b).
-b - 589
Let f(y) = 3*y**2. Let s(t) = 9*t**2. Let c be 6/((-4)/2) - -5. Suppose -2*q + 32 = c*q. Let h be (-12 - -13)*(8 - 11). Determine h*s(l) + q*f(l).
-3*l**2
Let o(s) = -7*s**3 + 2*s - 2. Suppose 14 = j + 9. Let c(b) be the first derivative of 0*b**3 - 17 + 5*b - 5/2*b**2 + 15/4*b**4. What is j*o(f) + 2*c(f)?
-5*f**3
Let j(s) = -475*s**3 - 95*s + 31. Let t(y) = -95*y**3 - 17*y + 6. What is 2*j(m) - 11*t(m)?
95*m**3 - 3*m - 4
Let g(p) = -4*p**2 - 6*p + 3. Let l = -927 - -928. Let n(t) = -t - 1. Give l*g(z) - 6*n(z).
-4*z**2 + 9
Let m(t) = 250*t + 10. Let c(b) = -98*b - 3. Determine 16*c(o) + 5*m(o).
-318*o + 2
Let g(j) = 2*j**3 - 28*j**2. Let k(h) be the first derivative of -h**4/4 + 14*h** | {
"pile_set_name": "DM Mathematics"
} |
(343) + 0 - sqrt(343)) + -2)**2 + 5).
27
Simplify ((3 + sqrt(425) + -5)*-3)**2*3.
-540*sqrt(17) + 11583
Simplify ((-1 + -3*(1 + sqrt(128) + sqrt(128)) + sqrt(128))*-2)**2.
1280*sqrt(2) + 12864
Simplify -2 + 1 + sqrt(832) + -5.
-6 + 8*sqrt(13)
Simplify 1*sqrt(108) + -4.
-4 + 6*sqrt(3)
Simplify sqrt(1008) + -4 + 0 + sqrt(1008) + 5.
1 + 24*sqrt(7)
Simplify (sqrt(350)/sqrt(640))/sqrt(5).
sqrt(7)/8
Simplify (sqrt(567) + 2 + sqrt(567) + -2*sqrt(567))*2.
4
Simplify (-3*sqrt(77)*1)/((sqrt(66)/sqrt(3))/sqrt(2)).
-3*sqrt(7)
Simplify (2 + (sqrt(68) + 0 - sqrt(68) - sqrt(68)))**2.
-8*sqrt(17) + 72
Simplify 2 + 2*(sqrt(11) + (sqrt(176))**2 + 4).
2*sqrt(11) + 362
Simplify (-3 + ((sqrt(2448) + -1)*6 - -6*(1*sqrt(2448) - sqrt(2448))))**2.
-1296*sqrt(17) + 88209
Simplify ((sqrt(156) + (sqrt(156)*3 - sqrt(156) - sqrt(156)))*-4 - sqrt(156))/(sqrt(432)*1).
-3*sqrt(13)/2
Simplify (-4 + sqrt(33)/sqrt(3))**2 - sqrt(66)/sqrt(54).
-25*sqrt(11)/3 + 27
Simplify 3 + sqrt(891) + 4.
7 + 9*sqrt(11)
Simplify (3*1*(0 + sqrt(363)))**2.
3267
Simplify 4*-6*((sqrt(2)*2 + sqrt(2))**2 - sqrt(2)).
-432 + 24*sqrt(2)
Simplify (sqrt(72)*-5 + sqrt(2) + sqrt(1250))**2.
32
Simplify (sqrt(110) + sqrt(110)*-5*5 - sqrt(110))/sqrt(10).
-25*sqrt(11)
Simplify (3*(sqrt(38) - sqrt(190)/sqrt(5)))/(sqrt(288) - (sqrt(288) + (sqrt(288)*-3 - sqrt(288)))).
0
Simplify (sqrt(7)*-1*-6 + sqrt(504)/sqrt(8))**2.
567
Simplify (sqrt(17) - sqrt(17)*2*-1 - (sqrt(17) + 2*sqrt(153)))**2.
272
Simplify ((-5*sqrt(136)*-1)/(sqrt(8) - sqrt(128)*-4 - sqrt(8)))**2.
425/256
Simplify (2 + sqrt(175))**2 - sqrt(126)/sqrt(2).
17*sqrt(7) + 179
Simplify ((sqrt(85) - (sqrt(85)*4 + sqrt(85)))*-3)/sqrt(5) + 1.
1 + 12*sqrt(17)
Simplify (sqrt(5) + sqrt(45)/sqrt(9) + -5)**2 + -5 + sqrt(5)*3.
-17*sqrt(5) + 40
Simplify -4 + sqrt(50) + 4.
5*sqrt(2)
Simplify ((sqrt(11) - -6*sqrt(33)/sqrt(3)) + (-1 + sqrt(44))**2)*-4.
-180 - 12*sqrt(11)
Simplify (sqrt(2448) - (-2 + (-1 + sqrt(2448))**2)) + sqrt(2448).
-2447 + 48*sqrt(17)
Simplify -3 + (1*sqrt(35))/sqrt(7) + 1*(1*sqrt(5) - sqrt(5))*3.
-3 + sqrt(5)
Simplify 3*-4*sqrt(13) - (sqrt(13) + -4*sqrt(832))**2.
-12493 - 12*sqrt(13)
Simplify ((-2 + sqrt(11))*-4 + sqrt(11))*5.
-15*sqrt(11) + 40
Simplify (-5*1*sqrt(1584)*-2)**2.
158400
Simplify sqrt(1700)*2 + (sqrt(612) + sqrt(612) + -2 + sqrt(17))**2.
-32*sqrt(17) + 2877
Simplify (((sqrt(110) - (sqrt(110) - sqrt(110)*-1)*-1) + sqrt(110) - sqrt(110))/sqrt(10))**2.
99
Simplify -4 + -4*sqrt(176).
-16*sqrt(11) - 4
Simplify ((sqrt(880)*-3)/sqrt(11))**2.
720
Simplify ((sqrt(19) - (sqrt(19) - (sqrt(19) + -2)))*5)**2 - (3*sqrt(152))/sqrt(8).
-103*sqrt(19) + 575
Simplify (1 + sqrt(27) + -4 - sqrt(27)*-2*4)*6.
-18 + 162*sqrt(3)
Simplify ((sqrt(12) + sqrt(12) + (sqrt(588) - 3*sqrt(588)))/((sqrt(42) + (sqrt(42) - sqrt(1050)))/sqrt(7) - sqrt(6)))**2.
18
Simplify (sqrt(8)*-3 + 2 + sqrt(2) + 4)**2.
-60*sqrt(2) + 86
Simplify sqrt(500)*2 + sqrt(500) + -3 + -5.
-8 + 30*sqrt(5)
Simplify 3 + (sqrt(36)/sqrt(3)*4 + sqrt(12))/(4*-1*sqrt(4)).
-5*sqrt(3)/4 + 3
Simplify 4*(1 + sqrt(5)) - (sqrt(30) - sqrt(180)/sqrt(6))/sqrt(6).
4 + 4*sqrt(5)
Simplify -1*(sqrt(68)*-1 + sqrt(68)) + 3.
3
Simplify (-2*sqrt(78)*1)/(sqrt(168)/sqrt(7)).
-sqrt(13)
Simplify -4 + (sqrt(28)*5)**2.
696
Simplify (sqrt(1539) + (0 + sqrt(1539))*-1)**2.
0
Simplify ((sqrt(432) - (sqrt(432) + -3)) + (sqrt(18)*-3)/sqrt(6))**2.
-18*sqrt(3) + 36
Simplify (sqrt(1700) + 1)**2*-3.
-5103 - 60*sqrt(17)
Simplify (4*1*sqrt(119) + sqrt(119))/(sqrt(7) + sqrt(252) + sqrt(252)*1 + sqrt(252) - sqrt(7)).
5*sqrt(17)/18
Simplify ((sqrt(224) + sqrt(224)*-2)*-1)/(sqrt(7) - sqrt(63)*2).
-4*sqrt(2)/5
Simplify (-1 + (sqrt(77) - (sqrt(77)*-2 - sqrt(77) - sqrt(77)))/sqrt(7))**2.
-10*sqrt(11) + 276
Simplify 1*sqrt(117)/(1*sqrt(225)).
sqrt(13)/5
Simplify (sqrt(192) + 2)**2 + 5.
32*sqrt(3) + 201
Simplify (-5*sqrt(396))/((sqrt(400) - -1*sqrt(400)) + sqrt(400)).
-sqrt(11)/2
Simplify (0 + sqrt(1100))*6 + (-2*sqrt(1100))**2*2.
60*sqrt(11) + 8800
Simplify 1 + (sqrt(432)*-1*1 - 6*(-1 + sqrt(432) - sqrt(432))).
-12*sqrt(3) + 7
Simplify (-5*(sqrt(5) + 2)*-2)**2.
400*sqrt(5) + 900
Simplify (6*(2 + sqrt(3)))**2 - ((-1*sqrt(6))/sqrt(2) + sqrt(3)).
144*sqrt(3) + 252
Simplify 3 + sqrt(14)/sqrt(2) + -2.
1 + sqrt(7)
Simplify 1 + -5*sqrt(52) + (-1*sqrt(130))/sqrt(10).
-11*sqrt(13) + 1
Simplify (3*sqrt(60))/(sqrt(9)/(-1*sqrt(3))).
-6*sqrt(5)
Simplify ((1*sqrt(15) + sqrt(15))/sqrt(5) - sqrt(3)) + -2.
-2 + sqrt(3)
Simplify 2 + (sqrt(21)/sqrt(3) + 0 - (-1 + (sqrt(21)/sqrt(3) - sqrt(7)))).
sqrt(7) + 3
Simplify (sqrt(2299) + 2*sqrt(2299))*-1 - sqrt(2299).
-44*sqrt(19)
Simplify -3 + sqrt(1008) + 5 + (0 + sqrt(1008))**2 + sqrt(1008).
24*sqrt(7) + 1010
Simplify 5*(sqrt(102) + (sqrt(102) - 2*(1*sqrt(102) + sqrt(102))))/(sqrt(24)*-2).
5*sqrt(17)/2
Simplify (sqrt(12) - 1*sqrt(1200))/(-1*sqrt(150)).
9*sqrt(2)/5
Simplify -4*(2 + (sqrt(128)*-2 - sqrt(128))).
-8 + 96*sqrt(2)
Simplify 4*-5*sqrt(9)/sqrt(3) + -4.
-20*sqrt(3) - 4
Simplify -2*(sqrt(60)/(sqrt(72)/sqrt(6)))**2.
-10
Simplify sqrt(200)*4 + 4.
4 + 40*sqrt(2)
Simplify 5*(sqrt(270)*5)/sqrt(10).
75*sqrt(3)
Simplify sqrt(315)/(sqrt(21)/sqrt(3)).
3*sqrt(5)
Simplify (5*(0 + sqrt(304) + -1))**2.
-200*sqrt(19) + 7625
Simplify (((sqrt(75)*1)/sqrt(5))/(sqrt(3) + sqrt(21)/sqrt(112)))**2.
16/5
Simplify (sqrt(143) + 2*sqrt(143)*-1)/(1*sqrt(1331)).
-sqrt(13)/11
Simplify sqrt(500)*5 - (-1 + sqrt(180)).
1 + 44*sqrt(5)
Simplify (-6*6*(sqrt(3) - sqrt(48)))**2.
34992
Simplify (sqrt(378) + (sqrt(378) - (sqrt(378) - (sqrt(378)*-2 + sqrt(378)))) + sqrt(378) + sqrt(378) - sqrt(42))/sqrt(6).
5*sqrt(7)
Simplify -3*(sqrt(34)/(sqrt(8)*-6))**2.
-17/48
Simplify (sqrt(99)/(sqrt(72)/sqrt(8)))**2 + -1.
10
Simplify ((sqrt(70) - (sqrt(70) + (sqrt(70)*-2 - sqrt(70))))*3)/(-4*sqrt(20)/sqrt(2)).
-9*sqrt(7)/4
Simplify (-3 + sqrt(320) + 2)**2 - (-1 + sqrt(320) + 1).
-24*sqrt(5) + 321
Simplify -6*-5*sqrt(52)*2.
120*sqrt(13)
Simplify ((sqrt(336)*-2 - sqrt(336))/((sqrt(21)/(sqrt(21)/sqrt(3)) - sqrt(3)) + sqrt(3)))**2*-6.
-6048
Simplify (sqrt(170)*-2 - sqrt(170))/sqrt(10) - (sqrt(17) - (-5 + sqrt(272)))**2.
-178 + 27*sqrt(17)
Simplify (sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114) + 1*sqrt(114))))/sqrt(6) + sqrt(19) + (sqrt(2299)*2 - sqrt(2299)) + sqrt(2299).
22*sqrt(19)
Simplify ((sqrt(19) - (-1 + sqrt(19) + -5)) + (-1*sqrt(95))/sqrt(5))**2*-1.
-55 + 12*sqrt(19)
Simplify (sqrt(52) + sqrt(832) + 1)**2*-6.
-7806 - 120*sqrt(13)
Simplify (1 + 1 + sqrt(2))**2*4.
16*sqrt(2) + 24
Simplify 4*(sqrt(12))**2 + -1*sqrt(3) + -3 + 0.
-sqrt(3) + 45
Simplify ((2*sqrt(1700))**2 - sqrt(1700))*4 - -4*(1 + sqrt(1700)).
27204
Simplify 2*sqrt(49)/(sqrt(35)/sqrt(5)).
2*sqrt(7)
Simplify (1 + 1 + sqrt(1900))**2 + sqrt(1900) + sqrt(76)*-1 + (sqrt(19)*2*6)**2.
48*sqrt(19) + 4640
Simplify (6*sqrt(187)*1)/sqrt(11).
6*sqrt(17)
Simplify -1*(((0 + sqrt(3))*-2)**2 + 2).
-14
Simplify (sqrt(28)*2 - (sqrt(7) + (0 + sqrt(343) - sqrt(343)) + sqrt(343))) + (sqrt(28) - -1*sqrt(700))/sqrt(4).
2*sqrt(7)
Simplify -1*(sqrt(1100) - sqrt(1100)*2) - sqrt(110)/(2*sqrt(250)).
99*sqrt(11)/10
Simplify sqrt(1008)*2 + -1.
-1 + 24*sqrt(7)
Simplify ((-3*sqrt(104)*5)/(sqrt(72)/(sqrt(45)/sqrt(5))))**2.
2925
Simplify (-5 + sqrt(125) + sqrt(125) + 1)**2 - (-5*(sqrt(125) - sqrt(125)*-2) - sqrt(125)).
516
Simplify -6*(sqrt(24)/sqrt(4))/sqrt(3).
-6*sqrt(2)
Simplify (sqrt(475) - -3*(sqrt(475)*1 - sqrt(475)))*5.
25*sqrt(19)
Simplify ((sqrt(195) - -1*sqrt(195))/sqrt(5))/(sqrt(27)*-3 + sqrt(3)).
-sqrt(13)/4
Simplify ((2*sqrt(847) - sqrt(7)) + -4*(sqrt(7) + 1))*5.
-20 + 85*sqrt(7)
Simplify -6*(sqrt(52)/sqrt(4))**2 - sqrt(13) - (-1 + sqrt(1872)).
-77 - 13*sqrt(13)
Simplify sqrt(55)/(sqrt(15)/sqrt(3)*4).
sqrt(11)/4
Simplify (1*sqrt(204) - sqrt(51))/(2*sqrt(432)).
sqrt(17)/24
Simplify 4*(0 + (sqrt(22)/sqrt(2))**2 + 3).
56
Simplify -2*((sqrt(352) + 1*sqrt(352) - sqrt(352))*-2)/sqrt(8).
8*sqrt(11)
Simplify ((sqrt(1331) + sqrt(1331)*-1*-3 + (1 + sqrt(1331))*2)*-1)**2.
264*sqrt(11) + 47920
Simplify (6*-1*sqrt(245) + (-2 + sqrt(245))*3)**2.
252*sqrt(5) + 2241
Simplify (-2 + sqrt(13) + -2 - sqrt(13)) + 5.
1
Simplify -5*(sqrt(143) + (sqrt(143) - -2*sqrt(143)) + sqrt(143) + sqrt(143))/sqrt(11)*-3.
90*sqrt(13)
Simplify 1 + 3*(sqrt(13) + -2) + -3.
-8 + 3*sqrt(13)
Simplify 6*3*(sqrt(684) + -3).
-54 + 108*sqrt(19)
Simplify (4*(- | {
"pile_set_name": "DM Mathematics"
} |
a?
-k*z - 85*k - 835387*z
What is the third derivative of -2294648*r**3*u**3 + 35*r**2 - 95*r*u**3 - 62*r*u**2 - 4 wrt r?
-13767888*u**3
What is the third derivative of -42188*j*q**3 + j - 25*q**3 + 57099049*q**2 wrt q?
-253128*j - 150
Differentiate -1157783*o**3 - 16125501 with respect to o.
-3473349*o**2
Find the third derivative of 12517*t**5 - 210*t**3 + 5249017*t**2 wrt t.
751020*t**2 - 1260
Find the first derivative of -30734052*v**4 - 15454177.
-122936208*v**3
Find the second derivative of 11685401*m**4 - 60686244*m.
140224812*m**2
Differentiate 69*j*l**2 + 3*j*w - 528*j + 45597083*l**3*w + l**3 - l**2 with respect to w.
3*j + 45597083*l**3
Find the third derivative of 2323*f**2*y**4 + 103*f**2*y**3 - 4*f**2*y - f*y + 36*y**2 - 691 wrt y.
55752*f**2*y + 618*f**2
What is the second derivative of -346389094*w**2 + 149015005*w?
-692778188
What is the derivative of 65021252*a*s**2 + 30518094*s**2 wrt a?
65021252*s**2
Find the third derivative of -2*l**4 + 20544445*l**3 + 3529866*l**2 - 2.
-48*l + 123266670
What is the second derivative of 2*x**2*y**2 - 4*x**2*y - x**2 + 30*x*y - 42008391*y**2 - 30799 wrt y?
4*x**2 - 84016782
Find the third derivative of 8529*a**2*o**3 - 2950*a**2 + 24*a*o**3 + 2*o**3 + 52*o**2 wrt o.
51174*a**2 + 144*a + 12
Find the second derivative of -226279915*d**5 - 116457925*d wrt d.
-4525598300*d**3
What is the third derivative of -36*u**5 + 31231*u**4 + u**3 + 234*u**2 + 140027*u wrt u?
-2160*u**2 + 749544*u + 6
Differentiate 235962581*d + 1883179 wrt d.
235962581
What is the derivative of -n**3 + 4469646*n**2 + 199698682?
-3*n**2 + 8939292*n
Find the second derivative of -1381870*a**3*o**2 + 7186*a**3*o + 158*a**3 - 2*a**2*o**2 - 24*o**2 + 20*o wrt o.
-2763740*a**3 - 4*a**2 - 48
Differentiate 163958*s**2 + 260*s + 18873612.
327916*s + 260
Find the first derivative of 20257217*k**3 + 40175990.
60771651*k**2
What is the second derivative of -b*q*r**2 + 484681*b*q + b*r**2 - b - 203807*q*r**2 - 4*q*r + 8*r**2 + 2 wrt r?
-2*b*q + 2*b - 407614*q + 16
What is the third derivative of 2*f**5 - 2387570*f**4 - 171*f**2 + 2*f - 50446 wrt f?
120*f**2 - 57301680*f
What is the third derivative of -3459875*y**3 - 4069*y**2 - 61 wrt y?
-20759250
What is the third derivative of -804*r**4 - 30514*r**3 + 2690*r**2 - 4653*r + 1?
-19296*r - 183084
What is the third derivative of 17180373*g**3 - 186871*g**2 + 22?
103082238
Find the first derivative of -163742752*y**2 - 90245024.
-327485504*y
Find the third derivative of -19998861*y**5 + y**2 - 103222559*y.
-1199931660*y**2
Find the first derivative of -1111563615*d*x - 1171135893*d wrt x.
-1111563615*d
What is the first derivative of 324214420*g**2 - 365398544 wrt g?
648428840*g
What is the derivative of -8835*u**2*y + 3*u**2 - 3*u*y + 29*u - 18*y - 16085 wrt y?
-8835*u**2 - 3*u - 18
Find the second derivative of -287541395*z**3 + 34849743*z + 8 wrt z.
-1725248370*z
What is the third derivative of -18109147*h*n**4 + h*n**3 - 127922*h*n + 36*n**2 wrt n?
-434619528*h*n + 6*h
Find the second derivative of -50287587*h**2 + 34428511*h wrt h.
-100575174
Find the third derivative of 2*b**3*i**2 - 417757*b**3 + 292*b**2*i**2 - 23719*i**2 wrt b.
12*i**2 - 2506542
What is the second derivative of -23*m**4 + 299740*m**3 - 166441*m + 66 wrt m?
-276*m**2 + 1798440*m
Find the third derivative of -5951133*a**3*y**2 + 1381*a**2*y + 8*a**2 + 2*a*y**2 - 17*y**2 wrt a.
-35706798*y**2
Differentiate -80329259*i**2 + 134775383 with respect to i.
-160658518*i
Find the third derivative of -271854019*k**6 + 851*k**2 + 6882*k wrt k.
-32622482280*k**3
Find the second derivative of 230013922*t**3 + 247089916*t.
1380083532*t
What is the second derivative of 9570859*y**2 - 148367*y wrt y?
19141718
Find the third derivative of 1223*o**2*s**3 - o**2*s**2 - 3*o**2*s - 2*o*s**2 + 8*o*s - 4854*o + 13356*s**4 - 1 wrt s.
7338*o**2 + 320544*s
What is the second derivative of -4*b*t**4 + 53221541*b*t**3 + 4*b*t + 4*b - 88040*t - 6 wrt t?
-48*b*t**2 + 319329246*b*t
Differentiate -h*l**2*u**2 + 870*h*l*u**2*w + 6*h*l*u - 5*h*l - 37*h*w - 2*l**2*u**2 + 2*l**2*w - 22696*l*u with respect to w.
870*h*l*u**2 - 37*h + 2*l**2
What is the third derivative of -132747263*x**6 - 302970*x**2 - x - 71?
-15929671560*x**3
What is the third derivative of -1066235423*d**3 - 813196430*d**2 wrt d?
-6397412538
What is the third derivative of -19784930*p**3 + 39445644*p**2?
-118709580
Differentiate -4240891*o**3 - 6802195 with respect to o.
-12722673*o**2
What is the third derivative of -2388*u**5 - 7*u**4 + 7*u**3 + 21*u**2 + 14*u + 82029 wrt u?
-143280*u**2 - 168*u + 42
Find the third derivative of 3*l**4 + 1364624*l**3 + 512763*l**2 wrt l.
72*l + 8187744
What is the second derivative of -9*i**2*r**2 + i**2*r + 777630*i**2 - 46*i*r**2 + 43305*i*r wrt i?
-18*r**2 + 2*r + 1555260
Find the second derivative of -25487429*j*x*z**2 - 2*j*x*z + 3*j*x - 77*j*z + j + 3*x*z + 4*x + z**2 - 141*z wrt z.
-50974858*j*x + 2
Find the third derivative of -841592390*d**3*q**3 + 23340471*d**3*q**2 + 16*d*q**2 wrt q.
-5049554340*d**3
What is the second derivative of 373*l*t*z**2 + 2*l*t*z + 286*l*t - 2887*l*z**2 + 628*l*z + 4*l wrt z?
746*l*t - 5774*l
Differentiate 10815*d**3 - 9*d**2 + 12*d - 45430870 wrt d.
32445*d**2 - 18*d + 12
Differentiate 12144197*l**4 + 35338667.
48576788*l**3
Find the third derivative of -9277884*l**5 + 5245618*l**2.
-556673040*l**2
Find the second derivative of 989808*t**3 - 18*t**2 - 189*t - 143049 wrt t.
5938848*t - 36
What is the second derivative of -c**3*i**2 + 4*c**3*i + 5*c**3 + 2*c**2*i + 13292*c**2 - 127280857*c*i**4 + 2*i + 115 wrt i?
-2*c**3 - 1527370284*c*i**2
What is the second derivative of -153393785*z**2 - 26297622*z + 2?
-306787570
What is the derivative of -8621*h*p**3 - 4115*h*p - 98930961*h wrt p?
-25863*h*p**2 - 4115*h
What is the third derivative of 3462*j**5 + 1381*j**3 + 106320*j**2 - j + 3 wrt j?
207720*j**2 + 8286
What is the first derivative of 59*m**4 + 129*m**3 - m**2 + 5*m - 81523162?
236*m**3 + 387*m**2 - 2*m + 5
Find the first derivative of 15*g*n*z + 14701842*g*z**2 - 34168*n*z**2 - 5*n*z - 2*n + 2*z**2 - 5*z - 2 wrt g.
15*n*z + 14701842*z**2
What is the third derivative of -20006982*k**4 - 1800*k**2 + 6641*k wrt k?
-480167568*k
What is the second derivative of 500891617*c**2*z - 3373*c*z + c - 641*z wrt c?
1001783234*z
Find the third derivative of -209313533*v**4 + 15*v**2 - 1381488*v wrt v.
-5023524792*v
Find the second derivative of -4*k**5 - 7*k**3 + 2104820*k**2 - 344879797*k wrt k.
-80*k**3 - 42*k + 4209640
What is the first derivative of -596*d*g + 16340*d*q**2 + 16*g*q**2 - 791*g*q - 2*g - 4*q wrt d?
-596*g + 16340*q**2
Find the second derivative of 69*l*v**5 - 33*l*v + 312488*v**5 + 463665*v wrt v.
1380*l*v**3 + 6249760*v**3
What is the third derivative of -237510714*n**5 - 26*n**2 - 6663493*n + 1?
-14250642840*n**2
What is the derivative of -1089604973*b**3*d**3 - 2*b**3 - 4616330*b**2 - 10*b + 3 wrt d?
-3268814919*b**3*d**2
Differentiate -3*k**2*n**2 + 30*k**2 - 3*k - 15605*n**2*r - 2*n**2 + 338*r + 1 with respect to n.
-6*k**2*n - 31210*n*r - 4*n
What is the third derivative of -165744944*l**3 - 281*l**2 - 63350*l - 1?
-994469664
What is the first derivative of -34491731*o + 3270562?
-34491731
Find the second derivative of 73732821*g**5 - 206935717*g wrt g.
1474656420*g**3
Find the third derivative of -13*o**2*w**3*z - 165*o**2*w + 16140*o*w**3*z + 70896*o*w*z + w**2 wrt w.
-78*o**2*z + 96840*o*z
What is the third derivative of 14283110*c**3*v**2 + 412302*c**2*v - 2*c*v**2 + 2*c + 5*v**2 wrt c?
85698660*v**2
Differentiate 175280417*a*v - 20309*v + 269 with respect to a.
175280417*v
What is the second derivative of -206109687*n**2*o + 177390*n*o - 229*n wrt n?
-412219374*o
What is the first derivative of -35122682*w - 37435620?
-35122682
Differentiate -40773268*k*m + 2307811*m + 3 wrt k.
-40773268*m
Differentiate 234*w**3 - 2*w**2 - 533*w - 4684322 with respect to w.
702*w**2 - 4*w - 533
Differentiate -5*h**4 + 1497314*h**3 - 3*h**2 + 1407757284 with respect to h.
-20*h**3 + 4491942*h**2 - 6*h
Find the first derivative of g*n**2 + 1104319*g + 5886160*n**3 wrt n.
2*g*n + 17658480*n**2
Find the third derivative of -802810085*c**5 - 40311009*c**2 + c wrt c.
-48168605100*c**2
Find the second d | {
"pile_set_name": "DM Mathematics"
} |
p. What is c(v(b))?
7896*b**2 + 111*b
Let p(q) = -q. Let x(r) be the second derivative of r**6/360 + 29*r**5/120 - 3*r**3 - 13*r. Let l(u) be the second derivative of x(u). Calculate l(p(j)).
j**2 - 29*j
Let y(z) = 5*z - 5*z - 211 - z + 211. Let j(u) = 3*u + 9. Calculate y(j(w)).
-3*w - 9
Let p(f) = -5*f**2. Let r = 1 + 2. Suppose r*s - s = 0. Let n(o) = -4*o + s*o - 3*o + 9*o. Determine n(p(v)).
-10*v**2
Let w(k) = -k - 35. Let y(l) = 20418*l. Determine y(w(f)).
-20418*f - 714630
Let d(i) = -i**2. Suppose 2*a = -2*k + 6 + 6, 4*a = 4*k. Suppose -a = -5*z + 2. Let x(q) = 1 - z - 11*q**2 + 19*q**2. Calculate x(d(g)).
8*g**4
Let p(l) = 10*l. Let h(g) = -8743*g**2 - g - 3. What is h(p(w))?
-874300*w**2 - 10*w - 3
Let k(g) = 20*g. Let r(q) = -2*q + 12. Let d(i) = -2*i + 9. Let b(w) = -4*d(w) + 3*r(w). Give k(b(h)).
40*h
Let q(w) = -80*w. Let a(s) = -39*s + 17. Let c(x) = -14*x + 6. Let l(r) = -6*a(r) + 17*c(r). Give l(q(k)).
320*k
Let y(m) = 9*m. Let s be 0*(-2 + 15/6). Suppose -3*g - 79 + 424 = s. Let t(d) = -g - d**2 + 115. Give y(t(l)).
-9*l**2
Let s(w) = 45*w. Let x(k) = -2*k**2 + 6105. Determine s(x(i)).
-90*i**2 + 274725
Let w(d) = d**2 - 293 + 293. Let u(y) = 3*y. Determine w(u(j)).
9*j**2
Let t(w) = w + 57. Let b(d) be the second derivative of -d**3/3 - 4*d + 11. Calculate t(b(g)).
-2*g + 57
Let a(v) = -274*v + 99*v + 91*v + 107*v. Let z(u) = -1. Let w(m) = -m - 2. Let t(d) = w(d) - 2*z(d). Calculate a(t(r)).
-23*r
Let t(n) = -173*n**2. Let y(k) = -2*k - 10925 + 10925. What is t(y(q))?
-692*q**2
Let i(j) = j**2 + 13*j - 1. Let b be i(-16). Let o(g) = -49*g**2 + 97*g**2 - b*g**2. Let c(t) = 10*t**2 + t. Give c(o(v)).
10*v**4 + v**2
Let d(g) be the second derivative of g**3/3 - g. Let i(o) = -o**3 + 9*o**2 + 2*o - 13. Let c be i(9). Let u(z) = 5*z + 4*z - 2*z - c*z. Calculate d(u(s)).
4*s
Let h(q) = -16637*q. Let m(c) = 3*c + 1. Determine m(h(g)).
-49911*g + 1
Let l(f) = 9*f - 4. Let m(z) = -7*z + 3. Let h(b) = 3*l(b) + 4*m(b). Let o(c) = 9*c**2. Determine h(o(a)).
-9*a**2
Let c be (7/2 - 4)*0. Let b(x) = x + x + c*x. Let i(o) = 9*o**2. Calculate b(i(n)).
18*n**2
Let p(a) = a. Let h(r) = -419888*r. What is h(p(c))?
-419888*c
Let j(d) = -492*d**2 + 533*d**2 + 3 - 3. Let i(c) = -7*c**2. What is j(i(y))?
2009*y**4
Let q(h) = -105*h - 40. Let g(a) = 8*a + 3. Let s = -154 - -114. Let c(d) = s*g(d) - 3*q(d). Let v(x) = -6*x. What is v(c(o))?
30*o
Let k(q) = 183*q - 47*q - 48*q - 41*q - 49*q. Let f(v) = 38*v - 5. Let n(r) = -37*r + 4. Let u(o) = -4*f(o) - 5*n(o). What is k(u(j))?
-66*j
Let a(z) be the first derivative of 17*z**2/2 + 590. Let g(i) = -17*i. What is g(a(v))?
-289*v
Let k(m) = m. Let v(x) = -117862*x. What is v(k(a))?
-117862*a
Let l(s) = -243*s**2 - s - 2. Let n(u) = -23*u. Give n(l(k)).
5589*k**2 + 23*k + 46
Let k = 128 - 126. Let a(y) = -63*y**k - 67*y**2 + 124*y**2. Let i(c) = -4*c**2. Give i(a(m)).
-144*m**4
Let d(g) be the second derivative of 0 + 0*g**2 - 1/6*g**3 + 27*g. Let u(j) = -11*j**2. Determine d(u(v)).
11*v**2
Let a(h) = 98*h**2. Let c(q) = -6*q**2 + 5*q + 5. Let n(r) = r**2 - r - 1. Let i(m) = c(m) + 5*n(m). Give i(a(u)).
-9604*u**4
Let q(v) = v**3 - 7*v**2 - 9*v + 19. Let d be q(8). Let b(h) = h**2 + 2*h**2 + d - 11. Let a(z) be the second derivative of z**4/6 - 2*z. What is b(a(j))?
12*j**4
Suppose 4*k + 3 = 11, v + 4*k = 10. Let y(l) = -7*l**2 + 11*l**v - 12*l + 12*l. Let t(u) = -3*u + 2*u + 4*u. Calculate y(t(i)).
36*i**2
Let p(l) = -368631*l. Let f(x) = 2*x. Give p(f(d)).
-737262*d
Let x(c) = -36*c**2 + 11*c - 11. Let n(w) = -3*w**2 + w - 1. Let b(g) = 22*n(g) - 2*x(g). Let d(r) = -6*r. Determine d(b(s)).
-36*s**2
Let r(a) = 424*a**2. Let p(m) = -51*m**2. What is r(p(c))?
1102824*c**4
Let j(r) = 16*r**2. Let o(z) = 2 - 10 + 1 + 7 + 8*z**2. Calculate j(o(a)).
1024*a**4
Let c(t) = -3*t - 1. Let f(p) = -12*p + 2. Let u(z) = -4*c(z) - f(z). Let a(h) = -7*h. Calculate u(a(x)).
-168*x + 2
Let h(y) = -11*y + 17. Let q(g) = 2*g - 3. Let n(k) = -6*h(k) - 34*q(k). Let u(a) = 91 - 91 - 12*a**2. Give u(n(r)).
-48*r**2
Let q(z) be the second derivative of z**3/2 - 3*z**2 - 5*z - 3. Let v(t) = -t**2. What is q(v(y))?
-3*y**2 - 6
Let t(r) = 5*r + 4. Let j(f) = -10*f - 10. Let s(l) = 2*j(l) + 5*t(l). Let p(z) = 24*z + 14. Let m(i) = 5*i + 3. Let n(y) = -28*m(y) + 6*p(y). Give s(n(o)).
20*o
Suppose 0 = 2*n - 5 + 1. Let d(y) = -4 + n - 2*y + 2. Let p(w) = -w**2. Let q(j) = -j**2. Let c(i) = -12*p(i) + 4*q(i). What is c(d(h))?
32*h**2
Let l(m) = -3*m**2. Let a(g) = -18*g**2 + 2836*g - 2836*g. Give a(l(k)).
-162*k**4
Let n(s) = 12*s**2. Let d(w) = -35*w - 22*w - 27*w + 64*w. Give d(n(v)).
-240*v**2
Let p(n) = 15*n - 59. Let i(v) = -43*v. What is p(i(j))?
-645*j - 59
Let a(v) = 4*v. Let k(r) be the third derivative of r**5/15 + r**4/8 - 26*r**2 + 2*r. Calculate k(a(o)).
64*o**2 + 12*o
Let h(b) = 6*b**2. Let w(c) = -6*c**2 + 92*c. Calculate w(h(u)).
-216*u**4 + 552*u**2
Let i(a) be the first derivative of -4*a**2 - 2. Let o(r) = -55*r + 46*r + 5*r. Determine o(i(w)).
32*w
Let h(t) = -t. Let c(l) = 4*l. Let m(q) = c(q) + 5*h(q). Let j be 5 + 4 + (-2)/1. Let f(y) = 4*y + j*y - 6*y. Determine m(f(s)).
-5*s
Let j(m) = m**2. Let i(n) = 3*n**2 - 48*n. Let f(c) = 3*c**2 - 50*c. Let s(t) = 6*f(t) - 5*i(t). Calculate s(j(v)).
3*v**4 - 60*v**2
Let v(z) = -20*z**2. Let q(w) be the second derivative of w**5/30 - 4*w**2 + 3*w. Let c(n) be the first derivative of q(n). Determine v(c(m)).
-80*m**4
Let t(f) = -4*f**2 - 2. Let v(m) = 8*m**2 + 16. Give v(t(b)).
128*b**4 + 128*b**2 + 48
Let x(c) = -24*c**2. Let f(j) = -120*j**2. Let n(z) = 3*f(z) - 16*x(z). Let k(h) = -h**2. Calculate n(k(r)).
24*r**4
Let o(b) = -b**2 + 7 - 7. Let i(t) = 4*t + 12. Let s(h) = h + 2. Let x(j) = -i(j) + 6*s(j). Calculate o(x(y)).
-4*y**2
Let i(q) be the first derivative of 2*q**3/3 + 1. Let m(k) = -18*k + 4*k - 6306 + 6306. What is i(m(f))?
392*f**2
Let y(f) be the third derivative of -f**5/10 + 4*f**2. Let v = 48 + -53. Let x(p) = 7*p. Let z(w) = -10*w. Let l(i) = v*z(i) - 7*x(i). What is l(y(r))?
-6*r**2
Let g(n) be the second derivative of -n**4/12 + n. Suppose -5*w - 24 = -2*r - 0*w, -4*r - 2*w = 0. Let c(s) = -r*s**2 - 10 + 10. What is c(g(j))?
-2*j**4
Let t(q) = 11*q**2 - 2*q + 2479. Let v(b) = -b. Determine v(t(h)).
-11*h**2 + 2*h - 2479
Let j(y) = 396*y**2. Let o(f) = -533*f**2. Give o(j(r)).
-83582928*r**4
Let a(i) = -20187*i. Let k(d) = -2*d. What is k(a(h))?
40374*h
Let j(g) = 9*g - 18. Let y(z) = z**2 + 89*z. What is y(j(n))?
81*n**2 + 477*n - 1278
Let t(k) = -4*k. Let f(o) = -3246*o**2 + 43. Calculate f(t(x)).
-51936*x**2 + 43
Let h(y) = 132*y. Let n(s) = s**2 + 13. What is h(n(c))?
132*c**2 + 1716
Let n(u) = -11*u + u + 28 - 28. Let r(f) = -f + f + 41*f**2 - 40*f**2. Determine n(r(v)).
-10*v**2
Let g(h) = -5*h**2. Let f(a) = -20*a**2 - 6*a. Let u(j) = 61*j**2 + 16*j. Let z(v) = 8*f(v) + 3*u(v). Give z(g(r)).
575*r**4
Let m(i) be the third derivative of -17*i**5/60 - 3*i**2. Let u(c) be the third derivative of c**4/12 - 7*c**2. Give m(u(b)).
-68*b**2
Suppose 3*j = 3*s - 8 - 19, -3*s = 3*j - 9. Let x(f) = -12855 - s*f + 12855. Let t(a) = -2*a**2. Give t(x(p)).
-72*p**2
Let f(g) = 2*g**2 - 8*g + 1034. Let m(q) = -5*q**2. Give f(m(z)).
50*z**4 + 40*z**2 + 1034
Let s(w) = -w. Let r(f) = -11 - 15 - 3*f + 9 + 9*f - 8*f. Determine s(r(m)).
2*m + 17
Let m be 1/1 - (0 + -1). Let t(g) = -3*g**m + 0*g**2 + g**2 + 6*g**2. Let i(u) = -u**2. Calculate t(i(r)).
4*r**4
Let l be (-36)/(-30)*(-20)/(-6). Suppose l*y - 3 = 5. Let q(c) = -c + y*c - c - 4*c. Let h(g) = -g. Calculate h(q(b)).
4*b
Let q(t) = -t**2. Let h(o) = 2958430*o**2. Determine h(q(g)).
2958430*g**4
Let a(m) = 3*m. Let d(q) = -25723*q**2. Give a(d(z)).
-77169*z**2
Suppose 16 + 8 = 12*x. Let q(v) = -46 - 22*v**2 + 46 - 11*v**x. Let s(k) = 2*k. What is s(q(p))?
-66*p**2
Let j(y) be the third derivative of 17*y**4/24 - 95*y**2 - 2. Let n(h) = 10*h + 2. Calculate j(n(v)).
170*v + 34
Let o(f) = f + 8. Let l be (-36)/10 - (-4)/(-10). Let g be o(l). Let n(u) = 2*u - g + 4. Let k(p) = -3*p**2. Calculate n(k(s)).
-6*s**2
Let q(z) = 3*z - 4*z - 7*z. Let g(k) be the third derivative of -k**4/6 - 501*k**2. Determine q(g(h)).
32*h
Let i(y) = -6*y**2 - 5. Let m = -22 + 16. Let q(a) = 7*a**2 + 6. Let n(c) = m*i(c) - 5*q(c). | {
"pile_set_name": "DM Mathematics"
} |
24/5*z**5 + 40/3*z**3 - 12*z**4 - 7. Factor g(a).
-4*a*(a - 3)*(a - 1)**3
Let t(p) be the first derivative of p**4/14 + 4*p**3/3 + 9*p**2/7 - 648*p/7 - 324. Determine k so that t(k) = 0.
-9, 4
Factor -18/11 - 2/11*q**2 + 20/11*q.
-2*(q - 9)*(q - 1)/11
Let z = 1251/3410 + -1/310. Let s be -3*((-194)/(-66) + -3). Factor -2/11 - s*a**2 + z*a.
-2*(a - 1)**2/11
Let f(r) = -3*r**2 + 11*r - 3. Let p be f(3). Factor -3/5 - 3/5*x**p + 3/5*x**2 + 3/5*x.
-3*(x - 1)**2*(x + 1)/5
Let 0 - 32/5*x - 5*x**5 - 84/5*x**3 + 26*x**4 - 136/5*x**2 = 0. What is x?
-2/5, 0, 2, 4
Let j(t) be the first derivative of -t**4/10 + t**2/5 + 25. Suppose j(x) = 0. What is x?
-1, 0, 1
Let y(s) = s**2 - 10*s - 9. Let h be y(11). Suppose 0 = z, 3*w + 0*z = -h*z + 9. Factor 26*j**3 - 27*j**3 - j**2 + j - 2 + w.
-(j - 1)*(j + 1)**2
Let s = 21 + -18. Let h(t) = -3*t**2 - 2*t + 14. Let i(v) = -3*v**2 - 3*v + 15. Let p(z) = s*h(z) - 2*i(z). Determine q, given that p(q) = 0.
-2, 2
Suppose 59*v**4 + 36*v - 69*v**3 - 15*v**5 - 7*v**2 - 4 + 24*v**2 - 24*v = 0. What is v?
-2/5, 1/3, 1, 2
Let b(c) = 9*c**3 + 19*c**2 - 24*c. Let q(g) = -10*g**3 + 96*g - 20*g**2 - 71*g + 0*g**3. Let x(f) = -5*b(f) - 4*q(f). Let x(j) = 0. Calculate j.
-4, 0, 1
Suppose -832 = -6*t - 7*t. Let y be ((-15)/2)/5*t/(-264). Factor y*u + 2/11 + 2/11*u**2.
2*(u + 1)**2/11
Let u = 5 + 3. Let -4*k**5 - 3*k**4 - u*k**4 + 3*k**4 - 4*k**3 = 0. Calculate k.
-1, 0
Suppose -5*p - 5*n + 660 = 0, -n - 1 = 2. Solve -112 + p*w**2 + 5*w**4 + 112 - 45*w**3 - 135*w = 0 for w.
0, 3
Let f = 7 + 0. Suppose 14 + f = 7*n. Let 58/11*p**n - 40/11*p**2 + 2/11*p + 4/11 - 24/11*p**4 = 0. What is p?
-1/4, 2/3, 1
Let t(r) = -7*r**5 - 33*r**4 + 19*r**3 + 49*r**2 - 60*r + 5. Let y(n) = -n**5 - 2*n**4 + 2*n**3 - n - 1. Let u(p) = -5*t(p) + 45*y(p). Solve u(h) = 0.
-2, 1/2, 1, 7
Suppose 616137 - 10384*b**2 - 1/9*b**4 + 605694*b + 530/9*b**3 = 0. What is b?
-1, 177
Let r(c) be the third derivative of -c**10/10080 + c**9/60480 + c**8/26880 - 11*c**4/24 - 16*c**2. Let l(d) be the second derivative of r(d). Factor l(g).
-g**3*(3*g - 1)*(4*g + 1)/4
Suppose f - 2*f + 2 = 0. Determine g so that 28*g**3 - 27*g**3 + 2*g**f + 0*g**2 = 0.
-2, 0
Let m(t) = t**3 - t**2 + t. Let z(c) = 2*c**3 + 47*c**2 - 46*c. Let l(p) = 3*m(p) - z(p). Determine b, given that l(b) = 0.
0, 1, 49
Let p be (38 - 24)*(-42)/(-36). Factor p*c**2 + 56/3*c + 16/3.
(7*c + 4)**2/3
Suppose -4*f = -2*u + f - 21, 5*f = -4*u + 33. Suppose 0 = -5*d + 2*z + 10, 4*d - z = -u*z - 5. Find r such that -4/3*r + 2*r**3 + d + 10/3*r**2 = 0.
-2, 0, 1/3
Let w(h) = -3*h**2 - 5*h. Let x(y) = -135*y + 12*y**2 - 5*y**2 + 146*y - 1. Let d(v) = -10*w(v) - 4*x(v). Factor d(s).
2*(s + 1)*(s + 2)
Let i(c) = -37*c**3 - 2*c**2 - 2*c - 1. Let w be i(-1). Suppose 3 = 3*j - 2*l - 17, 5*j - 4*l - w = 0. Determine t so that -2*t**2 + 4*t - 4 - 2*t + j*t = 0.
1, 2
Let i(o) = 4*o**2 - 5*o - 4. Let s be i(4). Find a such that 40*a**2 - 2 + s*a**2 + 6*a - 77*a**2 - 7 = 0.
-3, 1
Let f(j) = 2*j**2 + j - 2. Let a(h) = -2*h**3 - 20*h**2 + 16*h. Let l(b) = -2*a(b) - 12*f(b). Factor l(w).
4*(w - 1)**2*(w + 6)
Suppose -16 = 29*w - 21*w. Let v be -4 - -1 - w/(-28)*-74. Factor 2/7*f**4 + 0 + v*f**2 + 8/7*f + 10/7*f**3.
2*f*(f + 1)*(f + 2)**2/7
Suppose 3*t = -3*p + 15, 3*t + 0 = 3. Let q(z) = 3*z - 9. Let o be q(p). What is d in -59 + 2*d**4 + 6*d**2 + 6*d**o + 2*d + 59 = 0?
-1, 0
Suppose 2*z = 7 - 17. Let p(q) = 27*q**2 + 12*q - 3. Let h(u) = 11*u**2 + 5*u - 1. Let n(g) = z*p(g) + 12*h(g). Factor n(y).
-3*(y - 1)*(y + 1)
Let u(i) be the third derivative of -i**5/270 - 23*i**4/108 - 40*i**3/9 + 222*i**2. What is w in u(w) = 0?
-15, -8
Let v(o) be the second derivative of -3/4*o**3 + 2*o + 3/8*o**4 - 3/40*o**5 + 0 + 3/4*o**2. Solve v(t) = 0.
1
Let m(f) be the second derivative of -3*f**3/2 - f**2/2 - 5*f. Let g be m(-1). Find c, given that -16*c**5 + 8*c - 8*c**4 + 7*c**3 - c**2 - g*c = 0.
-1, 0, 1/4
Let t(p) = p**3 + 4*p**2 + 4*p - 4. Let u(n) = -2*n**3 - 10*n**2 - 10*n + 10. Let r = 5 - 17. Let w(a) = r*t(a) - 5*u(a). Let w(s) = 0. What is s?
-1, 1
Let d(u) = u**3 + 18*u**2 + 35*u + 18. Let q(f) = 12*f**3 + 234*f**2 + 456*f + 234. Let b(g) = -27*d(g) + 2*q(g). Let b(z) = 0. Calculate z.
-3, -2, -1
Suppose 4*a - 2 + 6 = 0. Let s(d) = -d**3 + 1. Let i(z) = -z**3 - 3*z**2 + 2*z + 2. Let g(v) = a*i(v) + 2*s(v). Find y such that g(y) = 0.
0, 1, 2
Let j(f) be the second derivative of -f**4/24 - 35*f**3/36 - 11*f**2/6 - 82*f. Find l, given that j(l) = 0.
-11, -2/3
Let s(x) be the first derivative of 4*x**5 + 16*x**4 + 24*x**3 + 16*x**2 + 4*x - 311. Suppose s(k) = 0. What is k?
-1, -1/5
Let q = 3331 - 50042/15. Let i = q + 16/3. Let 0 + 1/5*x**2 - 1/5*x**3 + i*x - 1/5*x**4 = 0. What is x?
-1, 0, 1
Let j(b) be the second derivative of b**6/15 - 11*b**5/5 + 59*b**4/6 - 38*b**3/3 + 10*b + 2. Factor j(u).
2*u*(u - 19)*(u - 2)*(u - 1)
Let v(g) be the second derivative of g**7/21 - 3*g**6/5 + 14*g**5/5 - 6*g**4 + 16*g**3/3 + 58*g. Factor v(n).
2*n*(n - 4)*(n - 2)**2*(n - 1)
Factor 230*v + 1722 + 214 - 54*v + 4*v**2.
4*(v + 22)**2
Let w be -12*(-24)/192 + 5/2. Let h(c) be the third derivative of 0 - 5/24*c**w + 1/6*c**5 + 0*c**3 + 0*c - 4*c**2 - 1/24*c**6. Factor h(s).
-5*s*(s - 1)**2
Let i = -11176321/105504 - 99/5024. Let w = i + 323/3. Factor -3/7 + 15/7*j**2 + w*j.
3*(j + 1)*(5*j - 1)/7
Let l = -21662/9 + 2408. Factor 4/3*x + 2/9*x**2 + l.
2*(x + 1)*(x + 5)/9
Suppose -11*p - 28 = 27. Let s be (-10 + 0)/(p*(-36)/(-45)). Factor 0 - 2*b**4 - b - s*b**2 + 11/2*b**3.
-b*(b - 2)*(b - 1)*(4*b + 1)/2
Let g(p) be the second derivative of 32*p**5/5 - 8*p**4 + 4*p**3 - p**2 - 44*p. Let g(i) = 0. What is i?
1/4
Let u(s) = -s**2 - 13. Let i be u(6). Let p = i - -49. Factor -6/7*r**3 + 8/7*r - 2/7*r**4 + 0*r**2 + p.
-2*r*(r - 1)*(r + 2)**2/7
Let u(k) be the second derivative of k**6/15 + 7*k**5/10 + 7*k**4/3 + 8*k**3/3 + 293*k. Determine j, given that u(j) = 0.
-4, -2, -1, 0
Let r(w) be the third derivative of w**7/56 - 7*w**6/40 + 11*w**5/16 - 11*w**4/8 + 3*w**3/2 - 18*w**2. Find j, given that r(j) = 0.
3/5, 1, 2
Let i be -1535*((-45)/(-25) - 2). Let -84*x - 24*x - 378*x**3 + 12 + 20*x**2 + 147*x**4 + i*x**2 = 0. What is x?
2/7, 1
Let f(y) be the third derivative of -y**9/12096 + 5*y**8/4032 - y**7/336 - y**6/16 + 7*y**5/60 + 11*y**2. Let n(t) be the third derivative of f(t). Factor n(m).
-5*(m - 3)**2*(m + 1)
Let d(h) be the first derivative of -h**6/12 + 13*h**5/2 - 575*h**4/4 + 1535*h**3/3 - 2945*h**2/4 + 961*h/2 + 327. Solve d(t) = 0.
1, 31
Let u(t) be the third derivative of 19*t**7/120 + t**6/20 - 137*t**5/240 - t**4/4 + t**3/6 - 2*t**2 - 10. What is c in u(c) = 0?
-1, -2/7, 2/19, 1
Let i(w) be the first derivative of 4*w**7/735 + w**6/140 - w**5/210 + 9*w**2/2 - 4. Let g(m) be the second derivative of i(m). Factor g(k).
2*k**2*(k + 1)*(4*k - 1)/7
Let d(q) = 7*q - 31. Let t(f) = -3*f + 15. Let s(h) = 2*d(h) + 5*t(h). Let k be s(11). Factor 44/3*y**k + 16*y**3 + 2/3 + 6*y**4 + 16/3*y.
2*(y + 1)**2*(3*y + 1)**2/3
Let l = -47 + 50. Solve -27*b**5 - 18*b**4 + 9*b**4 + 34*b**3 - 24*b - 12 + 18*b**3 - b**l + 21*b**2 = 0 for b.
-1, -2/3, 1
Suppose -7*q - 2*a = -3*q - 52, a + 49 = 3*q. Suppose 3*g + 2*g - q = 0. Suppose 12*o - 12*o**g - 8 + 3*o**3 + 5*o**3 = 0. What is o?
-2, 1
Let m(d) = -d**2 + 10*d - 9. Suppose 2*i = 7*i - 10. Let l(t) = 2*t - 2. Let s(o) = i*m(o) - 11*l(o). Find z, given that s(z) = 0.
-2, 1
Let d(n) be the second derivative of 0 - 10*n + 1/105*n**6 - 11/21*n**3 - 1/14*n**4 + 3/70*n**5 - 6/7*n**2. Solve d(l) = 0.
-3, -1, 2
Let s(c) be the first derivative of 5 - 1/4*c**2 - 1/24*c**6 - 7/16*c**4 - 11/24*c**3 + c - 17/80*c**5. Let u(z) be the first derivative of s(z). Factor u(d).
-(d + 1)**3*(5*d + 2)/4
Let t(i) be the third derivative of 0 + 1/315*i**7 + 0*i**3 - 1/60*i**6 + 0*i + 1/30*i**5 - 1/36*i**4 + 20*i**2. Factor t(s).
2*s*(s - 1)**3/3
Let s(o) be the third derivative of 0*o - 1/840*o**8 + 0*o**4 - 2/525*o**7 + 1/300*o**6 + 1/75*o**5 + 4*o**2 + 0*o**3 + 0. What is v in s(v) = 0?
-2, -1, 0, 1
Let k(h) be the second derivative of h**4/14 - 5*h**3/7 - 6*h + 13. Determine q so that k(q) = 0.
0, 5
Factor -1/5*r**5 - 44/5*r**4 + 0*r + 0*r**2 - 484/5*r**3 + 0.
-r**3*(r + 22)**2/5
Let s = 34234 + -205403/6. Factor 0 + 2/3*i - s*i**3 | {
"pile_set_name": "DM Mathematics"
} |
619.
618
What is the remainder when 662 is divided by 255?
152
What is the remainder when 13510984 is divided by 218?
216
What is the remainder when 3538 is divided by 155?
128
Calculate the remainder when 174041 is divided by 168.
161
Calculate the remainder when 101828 is divided by 164.
148
Calculate the remainder when 7103 is divided by 349.
123
What is the remainder when 1511 is divided by 353?
99
Calculate the remainder when 6522 is divided by 33.
21
What is the remainder when 10101 is divided by 722?
715
What is the remainder when 167570 is divided by 1180?
10
Calculate the remainder when 2113 is divided by 10.
3
Calculate the remainder when 16187 is divided by 248.
67
What is the remainder when 4168 is divided by 9?
1
Calculate the remainder when 133627 is divided by 44.
43
Calculate the remainder when 9449 is divided by 338.
323
What is the remainder when 126231 is divided by 1108?
1027
Calculate the remainder when 1694 is divided by 140.
14
Calculate the remainder when 203198 is divided by 196.
142
Calculate the remainder when 9748 is divided by 4859.
30
What is the remainder when 82001 is divided by 55?
51
Calculate the remainder when 158685 is divided by 348.
345
Calculate the remainder when 114106 is divided by 188.
178
Calculate the remainder when 15831 is divided by 16.
7
What is the remainder when 4022 is divided by 637?
200
What is the remainder when 163120 is divided by 4408?
24
Calculate the remainder when 8602 is divided by 26.
22
What is the remainder when 19650 is divided by 480?
450
What is the remainder when 109970 is divided by 232?
2
What is the remainder when 13585 is divided by 503?
4
What is the remainder when 1657028 is divided by 150638?
10
Calculate the remainder when 5956 is divided by 195.
106
Calculate the remainder when 9098653 is divided by 1654.
1653
What is the remainder when 706749 is divided by 514?
513
What is the remainder when 952 is divided by 912?
40
What is the remainder when 6558 is divided by 598?
578
What is the remainder when 1592 is divided by 173?
35
Calculate the remainder when 32523 is divided by 18.
15
What is the remainder when 2873 is divided by 57?
23
Calculate the remainder when 338553 is divided by 48364.
5
What is the remainder when 12708 is divided by 6196?
316
What is the remainder when 463085 is divided by 13?
12
What is the remainder when 147677 is divided by 95?
47
Calculate the remainder when 35781 is divided by 33.
9
Calculate the remainder when 143128 is divided by 14311.
18
Calculate the remainder when 79044 is divided by 11.
9
What is the remainder when 947 is divided by 395?
157
Calculate the remainder when 10805 is divided by 75.
5
What is the remainder when 55893 is divided by 58?
39
What is the remainder when 339648 is divided by 11712?
0
What is the remainder when 42655 is divided by 427?
382
What is the remainder when 14362 is divided by 798?
796
What is the remainder when 356892 is divided by 55?
52
Calculate the remainder when 2703 is divided by 13.
12
Calculate the remainder when 83483 is divided by 18.
17
Calculate the remainder when 243772 is divided by 32.
28
Calculate the remainder when 319099 is divided by 45584.
11
Calculate the remainder when 24415 is divided by 4883.
0
Calculate the remainder when 106251 is divided by 26562.
3
Calculate the remainder when 183623 is divided by 179.
148
What is the remainder when 1280 is divided by 256?
0
Calculate the remainder when 10979 is divided by 2742.
11
What is the remainder when 3530 is divided by 1750?
30
What is the remainder when 933 is divided by 168?
93
What is the remainder when 330 is divided by 312?
18
What is the remainder when 14819 is divided by 14808?
11
Calculate the remainder when 28239 is divided by 13.
3
What is the remainder when 1879 is divided by 224?
87
Calculate the remainder when 2766 is divided by 575.
466
What is the remainder when 15724 is divided by 14?
2
What is the remainder when 32530 is divided by 12?
10
What is the remainder when 14805 is divided by 148?
5
Calculate the remainder when 4421 is divided by 244.
29
Calculate the remainder when 15947 is divided by 523.
257
Calculate the remainder when 276127 is divided by 104.
7
What is the remainder when 4912 is divided by 408?
16
What is the remainder when 58474 is divided by 331?
218
What is the remainder when 55215 is divided by 8?
7
What is the remainder when 60261 is divided by 753?
21
Calculate the remainder when 81172 is divided by 8.
4
Calculate the remainder when 4816604 is divided by 24.
20
What is the remainder when 324 is divided by 102?
18
What is the remainder when 54233 is divided by 393?
392
Calculate the remainder when 944 is divided by 439.
66
Calculate the remainder when 63670 is divided by 84.
82
What is the remainder when 17509 is divided by 5834?
7
Calculate the remainder when 8040045 is divided by 1416.
1413
What is the remainder when 9960 is divided by 27?
24
What is the remainder when 13620 is divided by 7?
5
What is the remainder when 327691 is divided by 277?
0
What is the remainder when 29147 is divided by 60?
47
What is the remainder when 14691 is divided by 3672?
3
What is the remainder when 13353 is divided by 139?
9
What is the remainder when 19124 is divided by 683?
0
Calculate the remainder when 26322 is divided by 15.
12
What is the remainder when 180133 is divided by 7205?
8
What is the remainder when 2297023 is divided by 205?
203
What is the remainder when 45022 is divided by 238?
40
What is the remainder when 479718 is divided by 358?
356
Calculate the remainder when 8728 is divided by 8326.
402
Calculate the remainder when 23497 is divided by 513.
412
What is the remainder when 161406 is divided by 269?
6
Calculate the remainder when 136651 is divided by 23.
8
Calculate the remainder when 909 is divided by 209.
73
Calculate the remainder when 19704 is divided by 9.
3
What is the remainder when 25066 is divided by 12505?
56
What is the remainder when 5196 is divided by 103?
46
What is the remainder when 27606 is divided by 103?
2
Calculate the remainder when 1047 is divided by 160.
87
What is the remainder when 24634 is divided by 3518?
8
What is the remainder when 61679 is divided by 16?
15
What is the remainder when 10860 is divided by 28?
24
Calculate the remainder when 3037 is divided by 88.
45
What is the remainder when 3253 is divided by 1063?
64
What is the remainder when 5895 is divided by 185?
160
What is the remainder when 55261 is divided by 747?
730
What is the remainder when 116139 is divided by 37?
33
Calculate the remainder when 27305 is divided by 123.
122
Calculate the remainder when 417613 is divided by 628.
621
Calculate the remainder when 138994 is divided by 138970.
24
What is the remainder when 114579 is divided by 179?
19
Calculate the remainder when 37815 is divided by 3433.
52
Calculate the remainder when 4049 is divided by 2023.
3
Calculate the remainder when 185743 is divided by 1080.
1063
What is the remainder when 346 is divided by 44?
38
What is the remainder when 47574 is divided by 315?
9
What is the remainder when 309613 is divided by 74?
71
Calculate the remainder when 111970 is divided by 31.
29
Calculate the remainder when 1490264 is divided by 2565.
2564
Calculate the remainder when 59007 is divided by 42.
39
What is the remainder when 122316 is divided by 176?
172
Calculate the remainder when 38813 is divided by 27.
14
What is the remainder when 81617 is divided by 106?
103
What is the remainder when 12426 is divided by 33?
18
Calculate the remainder when 98154 is divided by 240.
234
What is the remainder when 91635 is divided by 526?
111
What is the remainder when 6179 is divided by 33?
8
What is the remainder when 551237 is divided by 251?
41
Calculate the remainder when 1461 is divided by 63.
12
What is the remainder when 348012 is divided by 5705?
7
Calculate the remainder when 19450 is divided by 556.
546
What is the remainder when 1120 is divided by 1120?
0
What is the remainder when 44203 is divided by 100?
3
What is the remainder when 3223 is divided by 628?
83
Calculate the remainder when 10601 is divided by 105.
101
What is the remainder when 2778 is divided by 964?
850
What is the remainder when 20808 is divided by 4927?
1100
Calculate the remaind | {
"pile_set_name": "DM Mathematics"
} |
944*w**2?
60*w**2 - 4800*w + 18
Find the first derivative of 13112*l - 7779.
13112
What is the third derivative of 6670*b**3*l**3 + 2*b**3 + 2160*b**2*l**3 wrt b?
40020*l**3 + 12
Find the first derivative of 456*a - 57.
456
Find the second derivative of 99*u**3 - u**2 - 4*u - 6 wrt u.
594*u - 2
What is the second derivative of 52*m**3*o + 2*m**2*o**2 + 4*m**2 + 201*m*o**2 wrt m?
312*m*o + 4*o**2 + 8
What is the third derivative of -3*l**3*p**3*z**3 + l**3*p**2*z**3 + 3*l**3*p + 43*l**2*p**2*z + 3*l*p*z**3 + 43*p**3*z**3 wrt p?
-18*l**3*z**3 + 258*z**3
Find the third derivative of -872*c**3 - 34*c**2 + 4*c.
-5232
What is the third derivative of -196*f**3*g - 15*f**2 - 2*f*g + 3*g wrt f?
-1176*g
What is the derivative of -3*z**4 - 552*z - 724?
-12*z**3 - 552
Find the second derivative of -2863*l**2 + l + 2044.
-5726
Find the third derivative of 331*m**5 + 487*m**2 wrt m.
19860*m**2
Differentiate -3*k**2*y**2 + 55*k**2*y - 3951*k**2 + k - 4*y**2 + 2*y + 1 with respect to y.
-6*k**2*y + 55*k**2 - 8*y + 2
Find the third derivative of -o**3*p*v*z - 14*o**3*p*z - o**3*v*z + 2*o**2*p*v*z - 27*o*v*z + v*z wrt o.
-6*p*v*z - 84*p*z - 6*v*z
Differentiate -102*j**4 + j*w - 162*w with respect to j.
-408*j**3 + w
Differentiate 70*d + 182 wrt d.
70
Differentiate -2136*h + 392 wrt h.
-2136
Find the first derivative of -c*p**2 + 2*c*p - 2486*c - 4*p**2 - 170*p + 1 wrt c.
-p**2 + 2*p - 2486
Differentiate v**2 + 12*v + 88 wrt v.
2*v + 12
Differentiate l*t**3 + 7*l*t**2 - 296*l - 3*t**3 wrt t.
3*l*t**2 + 14*l*t - 9*t**2
What is the third derivative of -2*k**2*s**3 + 2*k**2*s + 39*k*s**3 + 128*s**2 wrt s?
-12*k**2 + 234*k
What is the third derivative of -25*b**4*o + 2*b**4 + 2*b**3*o**3 + 3*b**2*o**3 + 155*b*o**3 wrt b?
-600*b*o + 48*b + 12*o**3
Find the third derivative of 2384*f**2*r**3 - 2*f**2 - f*r**3 + 406*f*r**2 - 2*r**3 wrt r.
14304*f**2 - 6*f - 12
What is the third derivative of -897*b**3 - 2*b**2 - 12 wrt b?
-5382
What is the derivative of -117*d**2*u**4 + 2*d**2*u**3 - 114*d**2 wrt u?
-468*d**2*u**3 + 6*d**2*u**2
Find the third derivative of -318*l**4 + l**3 - 475*l**2 wrt l.
-7632*l + 6
What is the third derivative of g*o**3 - 2*g*o + 6*o**3 + 6*o**2 wrt o?
6*g + 36
Differentiate -91*i*s**4 - 3*i + 33 wrt s.
-364*i*s**3
What is the third derivative of -898*g**4*w - 2*g**2 - 7*w - 4 wrt g?
-21552*g*w
Find the second derivative of 36*m**5*x**2 - 3*m**4*x**3 - 37*m*x**3 + 2*m*x + 13*x**2 wrt m.
720*m**3*x**2 - 36*m**2*x**3
Find the third derivative of -2*m**4 - 1893*m**3 + 9282*m**2.
-48*m - 11358
Find the third derivative of -180*t**3*u + 93*t**2 + 2*u wrt t.
-1080*u
What is the third derivative of 1951*f**3*s**3 + 4*f**3*s**2 + 89*f**2*s**2 - f*s**3 wrt s?
11706*f**3 - 6*f
What is the derivative of 10*m**2 + 12*m*v - 2741*v wrt m?
20*m + 12*v
Differentiate -2*g*j*u**3 - 3*g*j*u - 54*j*u**3 + j*u**2 wrt g.
-2*j*u**3 - 3*j*u
Find the third derivative of g**6*y + 11*g**5 - 2*g**4*y + g**2*y + 14*g**2 - 2*g*y wrt g.
120*g**3*y + 660*g**2 - 48*g*y
What is the second derivative of -m**4 + 856*m**2*x**3 + m*x**3 + 1343*m*x wrt m?
-12*m**2 + 1712*x**3
Differentiate -119*f*o + 29*f + 13431*o wrt f.
-119*o + 29
What is the second derivative of -1933*v**3 + 2195*v?
-11598*v
Differentiate -90*h*o - 13*h*x - 10*o**4*x - 2*o**4 - 2*x + 5 wrt o.
-90*h - 40*o**3*x - 8*o**3
Find the second derivative of 504*a*c**2 + 2*a*c - 112*c wrt c.
1008*a
What is the second derivative of -30*m**2 + 290*m wrt m?
-60
What is the first derivative of -686*w + 6633 wrt w?
-686
What is the first derivative of 1571*h**2 + 2250 wrt h?
3142*h
Find the third derivative of -7*p**5*r - p**3*r*x - p**3*r - 231*p**2*r + p**2*x - x wrt p.
-420*p**2*r - 6*r*x - 6*r
What is the first derivative of -52*m**2 + 2*m*x**3 - 3*m - 6*x**3 + 13*x wrt m?
-104*m + 2*x**3 - 3
What is the second derivative of -196*g**2 - 260*g wrt g?
-392
What is the second derivative of -11*g**2*i**2 + 4*g**2*i - g**2 - 16*g*i - 40*i**2 wrt i?
-22*g**2 - 80
What is the first derivative of -17*d**4 - d**2*r**2 + r**2 - 186*r wrt d?
-68*d**3 - 2*d*r**2
Differentiate -9*i*j*m**3*r**2 - 3*i*j - i*m**3*r + j*m**3 + j*m**2*r**2 + 2*j*r**2 - 12*m**3 with respect to i.
-9*j*m**3*r**2 - 3*j - m**3*r
What is the second derivative of -9634*b**3*r**2 + 141*b**3*r + 9*b**2*r wrt r?
-19268*b**3
What is the second derivative of 26*g**2 + 27*g?
52
Find the first derivative of 2415*w + 7851.
2415
Find the third derivative of -16*b*p**6 - 3*b*p**5 - 2*b*p**2 + 5*b*p + 15*p**2 wrt p.
-1920*b*p**3 - 180*b*p**2
Find the third derivative of 3961*i**4 + 129*i**2 + 2*i + 1 wrt i.
95064*i
What is the first derivative of 61*m**4 + m - 191?
244*m**3 + 1
What is the second derivative of -2*h**2*l*q - 5*h**2*q**3 - 3*h**2*q - 7*h*l*q**3 - h*l - 5*q**3 wrt h?
-4*l*q - 10*q**3 - 6*q
What is the second derivative of 149*d*h**2 - 32*d*h - 6 wrt h?
298*d
What is the third derivative of -4*k**4*r + 14*k**4*y - 2*k**2*r*y - 12*k*r*y - 6*r + 3 wrt k?
-96*k*r + 336*k*y
Differentiate -127*q**3*s**3 - 5*q**3 - 2*q*s**3 - 36 wrt s.
-381*q**3*s**2 - 6*q*s**2
Find the third derivative of 6144*d**5 - 13857*d**2 wrt d.
368640*d**2
Find the first derivative of -1223*c + 147 wrt c.
-1223
Differentiate -6*o**3*w + 17*o**3 - 34*o**2*w - 18*o with respect to w.
-6*o**3 - 34*o**2
Find the third derivative of -2*f*h**2*z**2 + 3*f*h*z**2 - 11*f*z**6 - f + 11*h**3*z**6 - 14*h**3*z wrt z.
-1320*f*z**3 + 1320*h**3*z**3
Find the second derivative of 8*c*z**5 - 19*c*z**2 + 3*c*z + 4*c - 2*z - 16 wrt z.
160*c*z**3 - 38*c
What is the first derivative of -4*r**2 - 10*r - 953 wrt r?
-8*r - 10
Find the third derivative of -388*c**5 - 2*c**4 + c**3 + 2*c**2 - 8268 wrt c.
-23280*c**2 - 48*c + 6
What is the second derivative of 8072*b**3 + 3507*b?
48432*b
What is the second derivative of -668*u**5 + 267*u - 2 wrt u?
-13360*u**3
What is the second derivative of -83*x**3 - 12*x - 1?
-498*x
What is the third derivative of -241*r**2*w**2*y**3 - 2*r**2*w**2*y - 6*r**2*w*y**2 + 4*r**2*y**3 + 1216*r*w wrt y?
-1446*r**2*w**2 + 24*r**2
Find the third derivative of 12*h**4*i - h**4 + 12*h**3 - 6*h**2*i + 10*h*i + 2*i - 3 wrt h.
288*h*i - 24*h + 72
What is the third derivative of -2*i**4 - 10*i**3 - 2*i**2 - 12?
-48*i - 60
Find the second derivative of 2*z**3 - 147*z**2 - 128*z + 2.
12*z - 294
Find the first derivative of -13*k*t*u**2 - 4*k + 193*t*u - 6*u**2 wrt k.
-13*t*u**2 - 4
What is the second derivative of -857*v*y**3 + v*y - 2*y**3 + 627 wrt y?
-5142*v*y - 12*y
Find the first derivative of -195*b + 81 wrt b.
-195
What is the third derivative of -9824*v**2*z**3 - 3*v**2*z - 2*v**2 + 2*v*z**2 - 72*z**2 wrt z?
-58944*v**2
What is the third derivative of 1277*f**3*r**3*x**2 + 13*f**2*r**3*x**2 - 4*f**2*r**3 + 3*f**2*r**2*x - f*r**2*x**2 wrt f?
7662*r**3*x**2
Find the third derivative of 5*i**4 + 13*i**3*j**3 + i**2 + i*j**3 - 9*j wrt i.
120*i + 78*j**3
Differentiate 105*o**2*u*z + 4*o**2*u - 3*o**2*z - 182*u + 2*z with respect to z.
105*o**2*u - 3*o**2 + 2
Find the second derivative of 3*q**4*y**3 - 71*q**3 + 5*q*y**2 + 2*y**3 + 25*y**2 wrt q.
36*q**2*y**3 - 426*q
What is the derivative of -b**3*d**2 - 1574*b**3 + 219*b**2*d**3 wrt d?
-2*b**3*d + 657*b**2*d**2
Find the third derivative of 4869*x**3*y**5 - 6*x**3 - 137*x**2*y**2 wrt y.
292140*x**3*y**2
What is the third derivative of 60*y**5 - 2*y**2 + 3*y wrt y?
3600*y**2
Find the third derivative of -5*b**6 - 14*b**4 - 12*b**2 - 2 wrt b.
-600*b**3 - 336*b
Find the second derivative of 2*i**3*l**3 + 21*i**3*l - i**3 + i**2*l - 75*i*l**2 + 39*i*l + 11*l**3 wrt l.
12*i**3*l - 150*i + 66*l
What is the second derivative of 2*i**2*o**3 + 3681*i**2*o**2 - i**2*o + 4*i*o**3 + 27*i*o**2 + 34*o**3 wrt i?
4*o**3 + 7362*o**2 - 2*o
Find the third derivative of 127*i**5 + 141*i**2.
7620*i**2
Find the first derivative of -26*w**2 + 12*w - 912.
-52*w + 12
Find the third derivative of 1247*o**3 - o**2 - 82*o.
7482
What is the third derivative of -5581*x**3 - 12915*x**2 wrt x?
-33486
Differentiate 1312*l**4 + 2102.
5248*l**3
Find the first derivative of -2*k**2*m*n*u + 21*k**2*m + 2*k**2*n*u**2 + m*n*u**2 - 18*u**2 wrt m.
-2*k**2*n*u + 21*k**2 + n*u**2
Find the second derivative of 168*d**2 - 38*d.
336
Find the second derivative of -27*z**3 + 37*z**2 + z + 188 | {
"pile_set_name": "DM Mathematics"
} |
(-3*1)/(147/(-21))
3/7
What is ((-9)/(90/50))/(-1)?
5
What is ((-22)/11)/(2/2)?
-2
Calculate (-13)/52*1/(2/2).
-1/4
Calculate 205/82*8/(-150).
-2/15
(-22)/(-66)*-3*1
-1
(-1*(-3)/(-30))/((-9)/72)
4/5
What is the value of (((-24)/(-510))/((-3)/15))/2?
-2/17
What is 3/21*245/14?
5/2
Calculate ((-18)/405)/(3/9).
-2/15
What is ((-2)/4)/((-10)/(-20))?
-1
Calculate (-28)/6*(-210)/1225.
4/5
What is the value of 288/240*(-10)/3?
-4
Calculate (-14*(-2)/16)/((-2)/(-8)).
7
What is the value of -5*(-5)/15*3*-1?
-5
What is ((-4)/6)/(10*(-8)/12)?
1/10
Evaluate (-12)/(-48)*-4*1.
-1
(11/(-1320)*2)/((-4)/16)
1/15
Evaluate 1*6*2/12.
1
(-3*24/18)/(4/3)
-3
What is the value of 3*(32/(-72))/(2/6)?
-4
(-3)/12*2*15/60
-1/8
Calculate (-2)/(-4)*31/((-248)/48).
-3
Calculate ((-2)/2*1)/(5/(-2)).
2/5
(-13)/((-78)/108)*(-3)/9
-6
((-150)/400)/(2/16)
-3
Evaluate (32/(-20))/(48/40).
-4/3
Evaluate ((-14)/(-7))/((-2)/(-4)).
4
Evaluate ((-2)/(-8))/(2*3/(-24)).
-1
Calculate ((-1)/2)/((-10)/(-30)).
-3/2
What is the value of (9/((-288)/8))/((-3)/4)?
1/3
Evaluate 7*((-20)/(-60))/(14/24).
4
(2*(-3)/15)/((-6)/(-10))
-2/3
What is the value of 12/(-20)*(-2)/9?
2/15
Evaluate ((-3)/15*-2)/(44/(-220)).
-2
Calculate (36/(-15))/(-3)*(-15)/(-42).
2/7
What is the value of (385/(-14))/11*2?
-5
((189/(-9))/(-42))/(10/28)
7/5
(54/12)/3*10/(-3)
-5
Evaluate (1/3)/(1/(-3)).
-1
Calculate (21/(-168))/((-2)/12).
3/4
What is the value of 0*2*1/(-2)?
0
Evaluate 15*28/3150*(-5)/(-8).
1/12
Calculate (-4)/(-10)*9/6.
3/5
Evaluate 8/(((-77)/(-7))/(-11)).
-8
(-2)/12*-3*(-3)/6
-1/4
-2*-5*(-4)/40
-1
What is (4/(-12))/(21/(-36))?
4/7
((-2)/5)/(22*(-9)/90)
2/11
Calculate ((-5)/9)/((-6)/(72/(-10))).
-2/3
Calculate 0/(-2)*27/54.
0
What is the value of ((-63)/(-66))/21*2?
1/11
Evaluate (-3)/(-6)*1*36/(-6).
-3
What is 2*(15/(-50))/3?
-1/5
Calculate ((-7)/(-56)*12)/((-20)/(-8)).
3/5
What is the value of 80/60*(2/(-2))/3?
-4/9
What is (-2)/(9*2/9)?
-1
What is the value of (-2)/(-3)*9/(-6)*-1?
1
What is 2/((320/2)/(-8))?
-1/10
What is the value of (3/2)/(-5*(-4)/8)?
3/5
What is 0*-4*(-2)/16?
0
Evaluate (-24)/(-4)*23/23.
6
What is (-1)/2*(-62)/155?
1/5
What is the value of ((-1)/2)/(-2*(-21)/(-12))?
1/7
1/(2/4*1*18)
1/9
What is the value of 18/3*2/(-21)*1?
-4/7
What is the value of 62/(-93)*(-45)/(-6)?
-5
10/(-12)*(-9)/(135/(-6))
-1/3
Calculate -4*7/420*6.
-2/5
Calculate 0/(85/17*(-2)/(-5)).
0
Evaluate (-18)/(-45)*(-15)/24.
-1/4
19/(-38)*(30/(-5))/12
1/4
((80/(-75))/8)/(22/(-132))
4/5
Evaluate -2*(-16)/(-24)*10/(-8).
5/3
What is the value of ((100/(-24))/(-25))/((-1)/2)?
-1/3
What is (-728)/52*(-2)/4?
7
What is the value of (2/3)/(-2)*(-5)/5?
1/3
Evaluate (-20)/(-6)*(-63)/(-42).
5
What is the value of 9/2*(-11)/(330/20)?
-3
(385/693)/((-2)/(-18))
5
Evaluate (40/(-32))/((-2)/8).
5
Evaluate (3/(-3))/((130/(-30))/(-13)).
-3
((-9)/(-24)*4)/3
1/2
Calculate (20/(-60))/((-2)/30).
5
10/(-8)*-1*-1
-5/4
Evaluate -14*(50/20)/(-5).
7
What is the value of ((-1)/7)/(22/(-308))?
2
(6/27)/(4/(-72)*-3)
4/3
What is (70/14)/(12/4)?
5/3
Evaluate (15/(-150))/(-1*(-5)/60).
-6/5
What is 12/(-25)*65/(-26)?
6/5
What is the value of (-7)/(-2)*(-80)/140?
-2
Calculate 220/(-165)*(-2)/8.
1/3
(30/12)/((-4)/(-8))
5
What is (4/(-12))/(16/(-144))?
3
What is 0*(-11)/((-110)/(-10))?
0
What is 4/((-2)/(-5*(-2)/5))?
-4
Calculate (4/42)/((-1)/3)*1.
-2/7
Evaluate 6/(-1)*10/270.
-2/9
(-7*60/(-280))/(5/2)
3/5
Evaluate (-68)/238*(-14)/(-24).
-1/6
Evaluate ((-6)/(-4))/(21/1386*11).
9
What is the value of (-5)/2*96/120?
-2
10*6/60*(-5)/1
-5
Calculate ((-5)/5)/((-4)/18).
9/2
Calculate (1/(-10))/((-22)/55).
1/4
Calculate 0*1*-1*(-3)/3.
0
Evaluate (-8)/36*3*(-87)/(-116).
-1/2
Evaluate 4/2*1/1*-2.
-4
Calculate (3/((-315)/(-120)))/((-4)/14).
-4
What is ((-12)/5)/((-7)/((-105)/6))?
-6
What is ((-3)/(-28))/(-1)*(-217)/(-62)?
-3/8
What is the value of (-2)/3*((-12)/(-32))/(-1)?
1/4
Calculate 1*(1/(-11))/(-1).
1/11
What is the value of (18/(-10))/(15/(-50))?
6
Calculate (((-81)/(-1))/(-3))/(-3).
9
15/50*(-48)/108
-2/15
What is 10/4*2/20?
1/4
(-130)/(-13)*4/8
5
What is the value of (-32)/20*(3/(-4))/(-3)?
-2/5
Evaluate 7/(-2)*(-2)/28.
1/4
What is the value of (-10)/4*(8/12)/(-1)?
5/3
What is the value of 2/(((-12)/(-4))/3)?
2
Evaluate (-10)/(-8)*(-1)/(-5).
1/4
What is the value of -6*((-360)/27)/10?
8
What is -2*(-1)/(-8)*(-20)/15?
1/3
(-16)/6*(-2)/((-120)/45)
-2
What is the value of -1*(-12)/9*39/26?
2
((-75)/(-400))/((-2)/(-4))
3/8
What is -1*(-3)/3*(-36)/(-36)?
1
What is the value of (3/7)/((-32)/112)?
-3/2
((-6)/9)/(18/(-27))
1
What is (1*-4)/((-5)/(35/4))?
7
6/(-48)*-4*-6
-3
48/(-75)*30/(-12)*-5
-8
(((-18)/(-30))/((-4)/(-10)))/(-6)
-1/4
Calculate (((-6)/(-18))/((-2)/(-30)))/(-1).
-5
Evaluate (1/5)/((-8)/8)*15.
-3
(-11)/(2057/34)*(-11)/13
2/13
What is (6/4*1)/(6/(-20))?
-5
Calculate 8/30*14*24/896.
1/10
What is -4*3/99*(-129)/86?
2/11
What is the value of ((-6)/9)/((-6)/(-9))?
-1
What is the value of (24/(-252))/(3/(-42))?
4/3
What is ((36/63)/(1/7))/(-2)?
-2
6/84*(-4)/4*4
-2/7
Evaluate 3/((68/(-408))/((-2)/(-9))).
-4
(236/(-72))/(-59)*3/(-1)
-1/6
((-3)/(-9))/(3/(-54))
-6
(3*(-3)/(-405))/((-2)/(-12))
2/15
What is ((-6)/28)/(-3*3/6)?
1/7
What is the value of 112/32*(-24)/28?
-3
What is (-1)/((-4)/16*-1)?
-4
What is the value of ((-9)/(-15))/((-9)/6)?
-2/5
8/(-24)*(-6)/10
1/5
Evaluate 24/(-16)*3/9.
-1/2
Calculate (4*(-1)/(-2))/((-18)/(-18)).
2
Evaluate (-6)/6*2/2.
-1
What is the value of ((210/4)/35)/((-6)/4)?
-1
What is the value of (-10)/(-15)*(-6)/62?
-2/31
Calculate (-9)/(-6)*(-8)/6.
-2
Evaluate -5*2/5*-2.
4
Evaluate (63/(-126))/(19/(-4)).
2/19
What is the value of ((-30)/20)/(3*2/(-8))?
2
What is the value of (8/14)/(-4)*-2?
2/7
((-28)/(-50))/7*(-5)/1
-2/5
What is the value of 0*((-20)/(-12))/(-5)?
0
What is ((-4)/((-8)/(-10)))/((-46)/(-92))?
-10
Calculate -15*(-2)/(-6)*-1.
5
What is 14/(-30)*82/(-287)?
2/15
Evaluate -4*(-3)/(((-24)/4)/1).
-2
Evaluate ((-1)/3)/((-74)/(-74)).
-1/3
What is the value of (3/(-5))/(9/(-10))?
2/3
What is the value of ((-6)/2)/(((-420)/14)/6)?
3/5
What is 104/(-130)*(-1)/(-2)*-5?
2
Evaluate ((-35)/28)/(2/8).
-5
Evaluate 0*1*5/5.
0
What is (1/6)/(12/(-144))?
-2
What is the value of (-4)/(-8)*1*-2?
-1
What is the value of ((-4)/3)/(-10*7/(-210))?
-4
Calculate (-2)/(-1)*2/(-12).
-1/3
What is ((-20)/(-10))/((-6)/2)?
-2/3
What is (-35)/(-147)*6/5?
2/7
What is ((-4)/(24/(-9)))/((-363)/44)?
-2/11
((-14)/(-35))/(24/(-15))
-1/4
Calculate (6/(-21))/((-40)/14)*-8.
-4/5
((-15)/25)/((-4)/(-20))
-3
(-1)/15*-3*180/504
1/14
What is the value of (((-66)/40)/11)/((-6)/15)?
3/8
What is (-1*3/12)/(6/8)?
-1/3
What is (4/20)/((-8)/(360/(-27)))?
1/3
What is the value of (4/(-4))/(5/(250/10))?
-5
What is the value of (-32)/168*3/2?
-2/7
(-35)/7*5/(75/6)
-2
(-2)/7*(-63)/42
3/7
Calculate (-4)/(-10)*(-30)/(-108).
1/9
Calculate ((-4)/1*(-31)/62)/28.
1/14
What is (-4)/6*(-48)/(-224)?
-1/7
Evaluate 35/(-35)*1/(-9).
1/9
Evaluate (-1)/((-3*4/12)/1).
1
Calculate 564/235*25/(-110).
-6/11
Calculate ((-2)/(-20))/(((-2)/16)/1).
-4/5
What is the value of (1/3)/((-11)/(-6))?
2/11
Evaluate (-3)/(10/(20/21)).
-2/7
What is the value of (-118)/(-295)*20/18?
4/9
Evaluate (4/6)/((-14)/(-3)*-1).
-1/7
What is the value of (-20)/(-6)*1*30/(-125)?
-4/5
Evaluate ((-145)/174)/(1/(-6)).
5
What is the value of (27/(-108))/(7/(-8))?
2/7
Evaluate (45/9)/(5/2).
2
What is the value of (0/((-24)/(-6)))/(2*1)?
0
261/29*(-4)/(-6)
6
Evaluate (-2)/(-8)*54/45*5.
3/2
(-7)/2*25/70
-5/4
What is (2/(-21))/((-30)/70)?
2/9
What is the value of 33/(1188/(-120))*(-3)/2?
5
Evaluate (((-224)/(-798))/16)/(1/(-6)).
-2/19
Evaluate 12/30*5/(-3).
-2/3
What is the value of (-5)/30*3*(-10)/1?
5
What is the value of 3/(-2)*((-8)/3)/(-1)?
-4
What is the value of (2/6)/(((-16)/(-36))/4)?
3
21/14*(-2)/(-1)*-2
-6
Calculate 5*7/420*4.
1/3
15/(-210)*7/(-2)
1/4
Evaluate ((-3)/9)/((-45)/30*-1).
-2/9
What is the value of (-3)/((-1)/1)*5/(-20)?
-3/4
What is the value of (-18)/(-24)*-1*4*1?
-3
(-4)/(-6)*(-7)/(42/27)
-3
What is (-3)/2*(-16)/(-24)?
-1
Calculate (106/2862)/(-1*(-1)/(-3)).
-1/9
What is ((-224)/728)/((-2)/3)?
6/13
Calculate ((-105)/(-105))/((-2)/(-10)).
5
(20/8)/5*3/(-3)
-1/2
What is ((-2)/8)/((-387)/(-344))?
-2/9
What is (-6)/(-8)*(-232)/29?
-6
(-1*(-6)/10)/((-102)/(-85))
1/2
What is the value of (-72)/(-54)*(25/ | {
"pile_set_name": "DM Mathematics"
} |
-8*f**3
Expand (-3*i**2 - i + 3*i**2 - 45*i**4)*(3*i - 2*i + i).
-90*i**5 - 2*i**2
Expand (-j**2 - j**2 - j**2)*(39*j - 4*j**2 - 39*j).
12*j**4
Expand (-5 + 2 + 5)*(-2*l + 0*l - 2*l).
-8*l
Expand (4*g + 0*g - 2*g)*(5*g + 2*g - 3*g) + g**2 + 0*g**2 + g**2.
10*g**2
Expand -m + m - m + (5 - 1 - 5)*(-3 + m + 3) + 3 - 3 + 2*m + (m + 4 - 4)*(-2 - 2 + 5) + 3*m - 3*m + 2*m.
3*m
Expand (3 + 8 + 4)*(2*r - r + 0*r)*(4*r**4 - 3*r**4 + 3*r**4).
60*r**5
Expand (0 + 0 - x + (-4*x + 2*x + 0*x)*(-3 + 2 + 0))*(5 - 4 - 3)*(-6 + 0 - 1).
14*x
Expand -1 + 1 + f**3 + (-2*f + 4*f - 3*f)*(-58*f**2 - 264*f + 264*f).
59*f**3
Expand (1 - 1 - 2*z)*(1 + 2*z**2 - 1) + (2*z**3 + 4*z**3 - 2*z**3)*(2 + 0 + 0).
4*z**3
Expand (-1 - 2*x + 1)*(204 + 38*x - 204).
-76*x**2
Expand -p**4 - 5 + 2*p**4 + 3 - 4*p**4 + 0*p**4 + 5*p**4 + (2*p**4 + 0*p**3 + 0*p**3)*(1 - 1 - 2).
-2*p**4 - 2
Expand (0 + b + 0)*(0*b**2 + 2*b**2 + 4*b**2).
6*b**3
Expand (2 - 3 + 4)*(-1 - q + 1) + (-6 + 2 + 3)*(-2*q + 11*q + 0*q).
-12*q
Expand (4*z + z - 3*z)*(-16*z + 6*z + 9*z + 156).
-2*z**2 + 312*z
Expand (-s + 2*s - 3*s)*(-2*s**2 + 4*s**2 - 3*s**2 + (2*s + 0*s + 0*s)*(2*s - s - 3*s) + 211 - 6*s**2 - 211).
22*s**3
Expand (1 - 1 + 2*r)*(0*r**3 - r**3 + 0*r**3) + r**4 + 0*r**4 + 0*r**4 + 14*r**4 + r**4 - 7*r**4.
7*r**4
Expand (-2*b - 2*b - b)*(-1 - 1 + 3) + 2*b + 0*b + 0*b.
-3*b
Expand (0 - 3 + 5)*(-1 + 3 - 3)*(-2*p**2 + 2*p**2 - 6*p**3 + (-p**2 - p**2 + 3*p**2)*(p - 3 + 3)).
10*p**3
Expand 2*s**2 - 3*s**2 + 2*s**2 + (-2*s - 3*s + 6*s)*(-9*s + 0 + 0).
-8*s**2
Expand 2*p - 3*p + 4*p + p - 5*p + 2*p - 2*p - 1 + 1 + (2 - 2 + 2*p)*(-2 + 2 - 2) + 1 - 2*p - 1 + 0 + 0 - p - 3 + 3 - 5*p + 0*p - 4*p + 2*p.
-15*p
Expand (-5*i + i + 5*i)*(-i**2 - 5*i**2 + 4*i**2) - 2*i - i**3 + 2*i.
-3*i**3
Expand (-1 + 1 - 2*p - p - p + 0*p + (-3*p + 0*p + 2*p)*(3 + 2 - 4) - p + 2 - 2)*(0*p + p + p).
-12*p**2
Expand (5*h**2 + 3*h**2 - 3*h**2)*(-h**3 + 3*h**2 - 3*h**2) - h + h - h**5.
-6*h**5
Expand (-3*g**2 + 3*g**2 - 6*g**2)*(-3*g**2 + 2*g**2 + 0*g**2).
6*g**4
Expand (-o - o**2 + o)*(1 + 3 - 2)*(2*o - 5 + 5)*(3*o**2 - 2*o**2 + 0*o**2).
-4*o**5
Expand (0*w**2 + w**2 - 2*w**2)*(-5*w + 5*w + w) - 4 - w**3 - 4*w**2 + 0 + 2*w**2.
-2*w**3 - 2*w**2 - 4
Expand (-5*u + 6*u + 0*u)*(17*u - 1 + 6 - 15*u).
2*u**2 + 5*u
Expand l**3 + 4*l**3 - 4*l**3 + (3*l**3 + 0*l**3 - 2*l**3)*(1 - 3 + 0).
-l**3
Expand (3*b**2 + 10*b**2 - 5*b**2)*(-3*b - 3*b**3 + 3*b).
-24*b**5
Expand (3*x**3 - 3*x**3 + 2*x**3)*(-10*x - x - 2*x) - 3*x**4 + 0*x**4 + 0*x**4.
-29*x**4
Expand ((5 - 2 - 4)*(0 - 1 + 3) - 1 - 3 + 2 + 2 + 0 + 1)*(r**2 + 2*r**3 - r**2).
-2*r**3
Expand -1 + 2*a + 1 - 5*a + 2*a + 2*a + (-2 + 2 - a)*(-1 - 1 + 4) + 2 - 2*a - 2 - 3*a + 4*a + a.
-a
Expand (-4*c**2 + 5*c**2 - 2*c**2 + 4*c**2 - c**2 - 2*c**2 - 2*c + 2*c + c**2 + (3*c + 2*c - 3*c)*(0*c + 5*c - 4*c) - 61*c + 61*c + c**2)*(0*c + 2*c - c).
4*c**3
Expand (-7 + 0*o + 8 - 3*o)*(0 - 7 - 1) - 4*o + 4*o - 2*o.
22*o - 8
Expand (-6 + 3*n - 2*n + 2)*(0 - 4 + 3).
-n + 4
Expand (4*q**2 - q**2 + 0*q**2)*(-3*q**2 + 6*q**2 - q**2)*(0*q - q + 2*q)*(-1 - 3 + 6).
12*q**5
Expand ((s + 2 - 2)*(-s + 0*s - s) + 0*s**2 - 4*s**2 + 2*s**2)*(s - s + 5*s).
-20*s**3
Expand (11*n + 20*n + 0*n)*(4 - 3 + 1).
62*n
Expand (-2*t - 2*t + 5*t)*(-1 + 0 - 2) - 5*t + 5*t - 2*t.
-5*t
Expand (4 + 3*f - 4 + (1 + 3 - 2)*(-3*f + 2*f - f))*(5*f - 3*f - 3*f - 2*f + 3*f - 3*f - f + 4*f - f + (0 + 1 + 1)*(-1 + 2*f + 1) - 3 + f + 3 - 2*f + 1 - 1).
-2*f**2
Expand (-1 + 46 + 14)*(-2*r + 2*r - r).
-59*r
Expand (0*c**2 - c**2 - c**2 + (-2*c + 3*c + c)*(2 - c - 2) + 0*c**2 + c**2 + 0*c**2)*(-242 - 87*c**2 + 242).
261*c**4
Expand (-u - 3 + 3)*(-8 - 5 - 3) + u + 2*u - 4*u.
15*u
Expand g**2 - 2*g**2 + 0*g**2 + (-g - 2*g + g)*(-2 + 2 - g) + 3*g**2 - 3*g**2 + 2*g**2.
3*g**2
Expand 0*c**4 + 4*c**4 - 6*c**4 + (c**2 - c**2 + 2*c**3)*(10*c - 16*c + 8*c).
2*c**4
Expand (n + 2*n - 4*n)*(2 + 3 - 2).
-3*n
Expand -12*r - 6*r + 20*r + 4 + 3*r - 4*r + 0*r + (2*r - 2 + 2)*(-5 + 2 + 4).
3*r + 4
Expand 4 - 1 - 6 + 5*m + (m - 3*m + 4*m)*(-2 + 1 + 3) - 6*m + 3*m + 4*m + m + m - m.
11*m - 3
Expand (3*o - o + 0*o)*(-o + o + 2*o**3) + (0*o**4 - o**4 + 0*o**4)*(-2 - 1 + 2) + (4*o - 3*o - 4*o)*(0 + 0 + 2*o**3) + 4*o - 3*o**4 - 4*o.
-4*o**4
Expand g**2 + g**2 - 4*g**2 + (-27*g + 1 + 18*g + 8*g)*(4*g - 3*g + 0*g).
-3*g**2 + g
Expand 3*w**3 + 0*w**3 - 2*w**3 + (2*w**2 + 3 - 3)*(0*w - w + 2*w) - w**3 + w**3 - w**3.
2*w**3
Expand 18*l - 18*l + 16*l**2 - l**2 - 3*l**2 + 3*l**2 + (0 + 0 + 2)*(-2*l**2 + 0*l**2 + 0*l**2).
11*l**2
Expand (-6 + 2 + 2)*(-5*t - 5 + 5)*(-2*t**4 - 1 + t**4 + 4*t**4).
30*t**5 - 10*t
Expand -2*h**5 - 4*h**5 + 4*h**5 + (-7*h**3 + 6*h**3 + 3*h**3)*(-2*h**2 - h**2 + 2*h**2).
-4*h**5
Expand (-11*i**4 + 3*i**4 + 0*i**4)*(-i + 4 - 5 + 0).
8*i**5 + 8*i**4
Expand 2*t**3 + 2*t**3 - 5*t**3 + (-5*t**3 + 3*t**3 + 0*t**3)*(-5 - 1 + 1) - 4*t**3 + 3*t**3 - 2*t**3.
6*t**3
Expand (-2*i + 3*i + 4 - 7)*(-2*i + 2*i - 4*i**4).
-4*i**5 + 12*i**4
Expand 2*q**5 - 2*q**5 - 3*q**5 + (-2*q**2 + 297*q - 297*q - 1)*(-q**3 + q**2 - q**2).
-q**5 + q**3
Expand 2 - l**5 - 2 + 0*l**2 + 0*l**2 + l**5 + (-l**4 + 2 - 2)*(0*l + 3*l - l) - l**3 + 2*l**3 - l**5 + 17*l**5.
14*l**5 + l**3
Expand (-3*h**2 + h**2 + 20 - 15)*(-2*h + 2*h - h**3).
2*h**5 - 5*h**3
Expand (2 - 2 - 2*l**2)*(4*l + 0*l + 0*l)*(-1 + 3 + 0).
-16*l**3
Expand 0*c - c + 0*c + (-5 + 4 - 3)*(0 - 1 - 1)*(1 + c - 1).
7*c
Expand (-2*p**4 + 5*p**3 - 5*p**3)*(7 + 7 - 5) + (-3*p - 2*p + 2*p)*(-2*p**3 + p - p).
-12*p**4
Expand (3*s - 3*s - s**2)*(-4 + 1 + 2)*(-1 - s + 1 + (-4 + 3 - 2)*(3*s - 4*s - s)).
5*s**3
Expand 4*z**2 - 2*z**3 - 4*z**2 + (-6*z**2 + 0*z**2 + 4*z**2)*(-1 + 1 + 2*z) + 0*z - z**3 + 0*z + 6*z**3 - 4*z**3 - 3*z**3.
-8*z**3
Expand (1 + 2 - 5)*(u - 4*u**3 + u**3 - 2 + 0*u**3).
6*u**3 - 2*u + 4
Expand (-2*m - 4*m + 5*m)*(3*m**3 - 4*m**3 + 2*m**3) - 3*m**4 - 3*m + 3*m - 2*m**4 + 3*m - 3*m + (-4*m - m + 4*m)*(2*m**3 + 0 + 0) + 4*m**2 - 4*m**2 - m**4.
-9*m**4
Expand (2*q + 3*q + 0*q)*(-q**2 - 3*q**2 + 2*q**2).
-10*q**3
Expand (-2*r + 2*r + r)*(6*r - 4*r - r) + (-2 - 2 + 3)*(-2*r + 2*r**2 + 2*r) + 3*r - 3*r - r**2 + 2 - 2 - 2*r**2.
-4*r**2
Expand -3*w + 8*w + w + (-2 - 1 + 5)*(-w + 3*w + 0*w) + 2*w - 1 + 1 + 2*w - w + w.
14*w
Expand (-4*q**4 + 0*q**4 - 2*q**4 + q**4 - 3*q + 3*q - 2 + 2 + 2*q**4 + (2*q**2 + 3*q**2 - 6*q**2)*(-q**2 + 0*q + 0*q))*(3 - 2 - 2)*(-2 + 1 - 2).
-6*q**4
Expand -4*n - 4*n**2 - 2*n**2 - n**2 + (2*n + 2 - 2)*(2*n - 5*n + 2*n).
-9*n**2 - 4*n
Expand (-17 + 17 - 11*u**3 + 0*u**3 - 4*u**3 + 3*u**3 + (u**3 - 3*u**2 + 3*u**2)*(-1 - 1 + 0))*(-3*u + 0 + 0).
42*u**4
Expand (0 + u**3 + 0 + (0*u**3 + u**3 + u**3)*(6 - 2 - 2) - 4*u**3 - 2*u**3 + 0*u**3)*(-3*u**2 - u**2 + u**2).
3*u**5
Expand (3*p - 16*p - 4*p)*(1 + 1 + 0) + 4*p - p - 2*p + 0 + p + 0 - p + 2 - 2 + (4*p - 2*p - 3*p)*(-2 - 4 + 4) + 2*p - p + p + p + 2 - 2.
-28*p
Expand -8*c**4 + 2*c**3 - 2*c**3 + (-2*c - 3 + 3)*(2*c**3 - 2*c**2 + 2*c**2).
-12*c**4
Expand (-2 - 5 + 6)*(3 - 2 + 2)*((-2 + 2 + 1)*(a - 3*a + a) - 2*a + 3*a - 4*a)*(1 - 2 + 11).
120*a
Expand (-8*q + 6*q**3 + 8*q)*(0*q + q - 6*q).
-30*q**4
Expand (2 - j - 2)*(4*j**2 + 4*j**2 - 5*j**2)*(-2*j**2 - j**2 + 4*j**2).
-3*j**5
Expand (-2 + 0 + 7)*(-1 - t + 1).
-5*t
Expand (-2*v - 2*v + 6*v)*(-19 + 8*v + 19).
16*v**2
Expand (4 + 5 - 3)*(-3*c + 2*c + 2*c)*(2*c**2 - c + c).
12*c**3
Expand (-6*j**2 + j**2 + 3*j**2)*(j - 5*j + 3*j).
2*j**3
Expand (-1 + 15 - 2)*(0*l - l + 2*l)*(2*l**3 - 5*l**3 + 2*l**3).
-12*l**4
Expand (3*d - 3*d + d**2)*(-4 + 4 + d) + (0*d + 0*d - d**2)*(-4*d - 3*d - d).
9*d**3
Expand 2 - 2 - 2*f**3 + f**3 - 1 + 1 + (0*f + 0*f + f**2)*(5*f - f - 2*f) - 14*f + 2*f**3 + 14*f.
3*f**3
Expand (3*x - 5*x + 0*x)*(-2 + 2 - 2*x) + (0*x + 2*x - x)*(-2*x + 6*x - 2*x) + 3*x - 3*x + 4*x**2 + 4*x - 2*x**2 - 4*x.
8*x**2
Expand (s - s - 2*s + s**2 + 2)*(-11 + 4*s**2 + 11).
4*s**4 - 8*s**3 + 8*s**2
Expand -9*r**2 - 2*r**3 + 2*r + 9*r**2 + 5*r**3 - 3 + 3 + (4*r - 3*r - 2*r)*(r**2 + 2*r**2 - 5*r**2) + 0*r**2 + 0*r**2 - r**3.
4*r**3 + 2*r
Expand -3*n**5 - 5*n**5 + 4*n**5 - 2*n**2 + 3*n**2 - 2*n**5 - 3*n**2 + (2*n**5 - n**2 + n**2)*(2 - 2 + 2).
-2*n**5 - 2*n**2
Expand 7874*y - 4*y**3 - 7873*y - 4*y**4 - 3*y**3 - 2*y**4 + 0 + 0 + (4 - 4 + y)*(-2 - y**3 + 2).
-7*y**4 - 7*y**3 + y
Expand -q**2 + 2*q - 2*q + (2 - 2 - 4* | {
"pile_set_name": "DM Mathematics"
} |
+ a and give v.
2
Express 6 - 39329*y**2 + 39329*y**2 + y**3 as b*y + j*y**2 + f + p*y**3 and give p.
1
Express -2*h - 5 - 66*h**4 + h**3 - 4*h**2 - 3*h**2 + 24*h**4 + 10*h**2 + 3 in the form b + v*h**4 + q*h**3 + c*h**2 + z*h and give v.
-42
Rearrange (-7*s**2 + 7*s**2 + 10*s**4)*(-4 + 1 + 5) - 115*s**3 + 115*s**3 - 9*s**4 to y + w*s**3 + p*s**2 + h*s + f*s**4 and give f.
11
Rearrange (0 + 1 + 2 + (-6 + 2 + 2)*(-1 + 7 - 3) + 1 + 0 - 3)*(43*t**3 - 146*t + 146*t) to the form s + v*t**2 + w*t + r*t**3 and give r.
-215
Express (13*s - 6*s - s)*(1 + 0 + 1)*(-387 + 71 + 18) as k + q*s and give q.
-3576
Express (-4*i**2 + 5*i**2 - 8*i**2)*(-4*i**2 - 4 + 4) + (i**3 - 2*i**2 + 2*i**2)*(i - 13 + 18 - 9) in the form w*i + l*i**3 + u*i**2 + p + z*i**4 and give l.
-4
Express -3182824 - 2605*y + 3182824 in the form n*y + z and give n.
-2605
Express (-6 - 1 + 1 + (2 - 3 + 0)*(1 - 2 - 1))*(-12*a - 11*a - 12*a) in the form x + m*a and give m.
140
Rearrange 8 - 9*c**2 - c**3 + c - 12 - 11 - c**3 + 8*c**2 to the form s*c + j*c**3 + d*c**2 + p and give p.
-15
Rearrange -1 + 1 - p**2 - 203*p**2 + 78120*p - 78120*p + (2*p**2 + p**2 - 2*p**2)*(-3 + 3 - 1) + p**2 - p**2 + 2*p**2 to the form k + o*p**2 + q*p and give o.
-203
Express (-4 + 4 + 1)*(-10*i + 9*i + 12*i)*(3 + 2 + 6)*(-i + 0*i - i) + 8*i + 5*i**2 - 8*i in the form p*i**2 + g + s*i and give p.
-237
Express -7*j - 38*j**3 - 29*j**3 + 31*j**3 - 5*j in the form z*j**2 + b*j**3 + u + h*j and give h.
-12
Express 0*p**4 - 2 + 29*p**3 - 6*p**3 + 3 + 0 + p**4 as x + o*p + h*p**2 + z*p**3 + g*p**4 and give z.
23
Rearrange -598*w**3 - 2*w**4 + 8*w**4 - 560*w**2 - 3*w**4 - 4*w**4 + 599*w**3 to n*w**4 + x + l*w + r*w**3 + f*w**2 and give r.
1
Express 140*o - 475*o - 197*o in the form f*o + y and give f.
-532
Rearrange -75*g**4 - 38*g**2 - 4 + 39*g**2 - 27*g**4 to l*g**4 + a*g + i + r*g**3 + u*g**2 and give i.
-4
Rearrange (-3 + 4 - 5)*(-3*q + 6 - 6) + (3*q - 4*q + 4*q)*((-1 - 2 + 4)*(-1 + 3 - 4) - 5 + 2 - 2) to the form n + g*q and give g.
-9
Rearrange 5*t**2 - t**2 - 1120*t + 1132*t to u*t + h + o*t**2 and give u.
12
Express -24*p**2 - 3*p + 81*p**2 - 10*p**2 + (-3 - 1 + 2)*(-1 - 2 + 2)*(p**2 - 6*p**2 + p**2) in the form g + x*p + k*p**2 and give k.
39
Rearrange -388*o + 58445 - 58445 - 172*o + (1 + 1 - 1)*(-1 + 1 + 2*o) to the form z*o + c and give z.
-558
Express -3*t**2 + 7*t**2 - 3*t**2 + (-33 + 5 - 5)*(7*t - 7*t**2 - 7*t) as b*t + s + q*t**2 and give q.
232
Rearrange 88 - 20 - 68 - 2*v - 555*v**2 to r*v**2 + p*v + x and give r.
-555
Express (21 - 9 - z**3 + 2*z + z**2 - 7)*(98*z - 153*z + 93*z) in the form h + c*z**3 + b*z + q*z**4 + d*z**2 and give q.
-38
Express (-20 + 20 + 5*m)*(7 + 2*m + 2 + 11 - 27) as q*m + d + j*m**2 and give j.
10
Rearrange -1128*p - 3 + 3*p**2 + 1128*p - p**2 to b + q*p**2 + d*p and give q.
2
Express (-5*z + 2*z + z)*(495 - 451*z + 497 - 989) as i*z + j*z**2 + r and give j.
902
Rearrange 8*d**2 - 2*d**2 + 6*d**2 - 10*d**2 + 195 to the form f*d + w*d**2 + o and give w.
2
Rearrange 0*a + 0*a + 16 + 7*a**2 - 12 - 9 to d*a**2 + o*a + k and give k.
-5
Express (-442 + d**2 - 39*d + 31*d + 230)*(-2*d**2 - d**2 + 5*d**2)*(3 - 2 + 1) as a*d**2 + s*d**4 + m*d**3 + j*d + y and give a.
-848
Express g**3 + 58 - 2*g**4 + 106 - 157 as s*g**3 + q + k*g**2 + y*g + t*g**4 and give k.
0
Express (101*k + 1168 - 8*k - 1147)*(k - 2*k + 0*k) in the form m*k**2 + s*k + z and give s.
-21
Rearrange (-15*w - 1 + 3*w + 10*w)*(222 + 20 + 64) to the form t*w + m and give t.
-612
Express 444*u**2 - 890*u**2 + 447*u**2 + 57*u as o*u**2 + s*u + j and give s.
57
Express -522 + x**2 + 3*x**2 - 7*x**2 + 4*x**2 as m + d*x**2 + p*x and give d.
1
Rearrange 249 - 2*h + 301 + 21 + 21 to the form t + u*h and give u.
-2
Rearrange 1 + 1 - 2*j**3 - 77*j**2 + 37*j**2 + 37*j**2 - j to m*j + t + c*j**3 + x*j**2 and give t.
2
Rearrange (3 - 6 + 1)*(4*n + n - n)*(-104*n + 77*n + 56*n) to q*n + o*n**2 + a and give o.
-232
Express 140*t + 198*t - 38*t as y + v*t and give v.
300
Express 186*q + 0 - 6 + 6 + 0 in the form w + c*q and give c.
186
Rearrange (2*j**3 + 7*j**3 - 4*j**3)*(2*j - 11 + 11 + 6) to the form t*j**3 + m + z*j**4 + p*j**2 + d*j and give z.
10
Express u**4 - 204 - u**2 + 5*u - 8*u**3 + 419 - 2*u - 213 as v + o*u + j*u**3 + y*u**4 + f*u**2 and give f.
-1
Rearrange (29*f**3 - 41*f**2 + 41*f**2)*(-10 - 14 - 40 + 11) to k*f**2 + d*f + i + w*f**3 and give w.
-1537
Express (0*n + 0*n - 2*n)*(4 + n**2 - 4)*(132 - 145 - 169) in the form j*n**3 + x*n + s*n**2 + l and give j.
364
Express 2*i**3 - 9*i - 162 + 4*i**2 - 2*i**2 + 0*i + 8*i in the form s + m*i + u*i**3 + l*i**2 and give m.
-1
Rearrange (1 + 2 - 1)*(-2*g - 1 + 1)*(2*g + 0*g**2 - 36 + 7*g**2 - 5*g**2) to the form u + h*g + y*g**3 + f*g**2 and give f.
-8
Express 2*h - 2*h**2 + 13*h**2 - h - 2*h - 1 in the form j*h + p*h**2 + w and give w.
-1
Rearrange (-j - 3 + 3)*(5 + 4 + 6) + 3*j + 2*j - 4*j + (2*j - j + 0*j)*(23 + 27 - 11) - 2 - j + 2 to the form p*j + r and give p.
24
Express 1104*q**3 - 40*q + 1 + 1105*q**3 - 2208*q**3 in the form f*q**3 + k + y*q**2 + n*q and give f.
1
Express (0 + 0 + 2*g)*(2*g**2 - g**2 + 0*g**2) + 2*g**3 + 11*g**3 - 2*g**3 - 204 + 204 - 39*g**3 as p*g**3 + l*g + k + u*g**2 and give p.
-26
Rearrange (-8 - 2 - 1)*(2*q - 2*q + q)*(5 - 11 + 10)*(-2*q - 2*q + 6*q) to the form c + i*q**2 + p*q and give i.
-88
Express 4*s - 12*s - 14*s + (9*s + 28*s - 12*s)*(1 + 3 - 3) in the form r + w*s and give w.
3
Express (0*u**2 - 2*u**3 + 0*u**2)*(-94 + 13 - 110) as f*u**2 + m*u**3 + h*u + i and give m.
382
Rearrange (-4*c**2 + 4*c**2 - 2*c**2)*(134 - 93*c**2 + 159*c**2 - 68*c**2)*(2 - 1 - 2) to b + m*c**4 + t*c + a*c**3 + h*c**2 and give m.
-4
Express (-2 - 4 + 5)*(1 + 2*i - 1) + 741*i + 2431 - 4870 + 2439 as f*i + l and give f.
739
Express (2*y**2 - 2*y**2 + 2*y**2)*(5 + 0 - 4) - 32 - 34*y**2 - 39*y**2 + 42 in the form s*y + d + q*y**2 and give q.
-71
Express (4*z**2 + 0*z**2 + 0*z**2)*(-22 - 1 + 0)*(2 + 0 - 4) as k*z**2 + y*z + t and give k.
184
Express (-2*m**4 + 4*m**4 + m**4)*(4 - 12 - 63) as t*m**4 + a*m**3 + r + q*m + c*m**2 and give c.
0
Rearrange (8 + 1 + 1)*(-13 - 2*u + 13 + (-5 + 7 + 1)*(-u + 2*u + u)) to the form t*u + d and give t.
40
Rearrange (-2*w - w**2 + 2*w)*(-w + 18*w + 4*w)*(2*w + 3*w + w) to the form l*w**4 + j*w + x*w**3 + m*w**2 + p and give l.
-126
Rearrange -72*a - 54404*a**2 + 54406*a**2 - 276*a to j*a**2 + m + z*a and give m.
0
Express -142*o - 46*o + 106*o - 369*o in the form m*o + l and give m.
-451
Express 491 + 10*r - 244 + 9*r**2 + 31*r - 247 + 2*r**3 as x + m*r**3 + t*r + l*r**2 and give m.
2
Rearrange 549*p + 539*p - 1096*p + 13*p**2 to x*p + l*p**2 + n and give x.
-8
Rearrange (2*i**2 - 3*i**2 + 0*i**2)*(4*i - 5*i + 0*i) + (-218 + 42 - 535)*(i**2 - i**2 + 2*i**3) to z*i**2 + x*i**3 + y*i + n and give z.
0
Express 3*m**4 - 6*m + 0*m**4 + 2 - m**3 + 7*m**2 - 6*m**2 + m**3 in the form q*m**3 + x*m + j*m**2 + n + w*m**4 and give w.
3
Express 26 + 7*n**3 - 26 + 66*n**2 - 2*n**3 - 4*n**3 as p*n + b + m*n**3 + t*n**2 and give m.
1
Rearrange 3*i + 631*i + 192*i to x + m*i and give m.
826
Rearrange -2*f**3 - 37*f**2 - 33*f**2 - 33*f**2 + 102*f**2 + 308*f - 2 - 34*f to the form w*f + b*f**2 + h*f**3 + l and give h.
-2
Express 3091*g**3 - 3108*g**3 - 2*g + 4*g + 2 as p*g + d*g**2 + m*g**3 + j and give p.
2
Rearrange -10 + 13*m + 7 + 0 + 5 - 5 to the form k*m + g and give g.
-3
Express 11*r**4 + 0*r**3 - 2*r**4 + 2*r**3 + 20 - 2*r**2 - 5*r**4 in the form x*r**4 + i*r + w*r**2 + o*r**3 + k and give x.
4
Rearrange -50*o**3 - 59*o**2 + 2 + o - 62*o**2 + 189*o**2 - 68*o**2 to j + v*o**2 + a*o + h*o**3 and give a.
1
Express 9*x**3 + 4*x**4 - 12*x**3 + 7*x**3 + 46 - 3*x**4 in the form n*x + j*x**2 + u*x**4 + g*x**3 + f and give f.
46
Rearrange -25*p + 41*p - 39*p + 267*p to the form w + y*p and give y.
244
Rearrange (8*t**3 + t**3 - 4 + 7)*(-7 - 20 + 7) to the form w*t + s + z*t**3 + n*t**2 and give z.
-180
Rearrange 0*c**3 + c**3 - 3*c**3 + 3 + c**3 - 3 + (-c**3 + 2*c**3 + 0*c**3)*(-22 + 70 + 73) to y*c**2 + d*c**3 + p + n*c and give d.
120
Express 4*m**2 + 0*m - m + 3*m**4 + 44 - 51 - 2*m**2 as q*m**2 + b + x*m**4 + s*m + o*m**3 and give q.
2
Express (13 - 14 + 12)*(-q + 2*q + 2*q)*(14 + 2 - 6) as c*q + i and give c.
330
Rearrange (-18*c | {
"pile_set_name": "DM Mathematics"
} |
ctor of p?
True
Let v = 4 + -2. Let j(x) = -x + 6*x - v*x. Does 13 divide j(17)?
False
Let d = 2 + -5. Let b be d/4*8/(-3). Suppose -5*l = -0*l + 5*z - 170, -b*z = -l + 25. Does 14 divide l?
False
Suppose o = v + v + 1, 4*o = -5*v + 30. Suppose v*x - 4*d = 88, 4*x - 43 - 88 = -d. Does 17 divide x?
True
Let j = 1051 - 431. Suppose 2 = -f + 5*d + 132, 5*d - j = -4*f. Does 25 divide f?
True
Let b(s) = s**2 - 4*s - 1. Is b(8) a multiple of 10?
False
Let n = 1015 - 183. Is n a multiple of 13?
True
Suppose 4*f + 22 = 82. Suppose j + f = -5*c, -4*j - 8 = 5*c + 7. Suppose -i + 3*i - 52 = j. Is i a multiple of 13?
True
Let w be 1/1*(4 + -5). Let i = -7 + w. Is 19/1 + (i - -7) a multiple of 6?
True
Let h = -18 + 20. Suppose 5*l + 60 = -h*s + 821, -5*s + 449 = 3*l. Does 33 divide l?
False
Let m(s) = -s**2 + 3*s - 4. Let n be m(2). Is 141/21 + n/(-7) a multiple of 7?
True
Let s = 120 + -243. Let p = -82 - s. Is 14 a factor of p?
False
Let j = 9 - 6. Let o(h) = 12*h**2. Let c be o(-2). Suppose 0 = j*s - 3*b - 87 - c, 0 = -s + 4*b + 36. Is 7 a factor of s?
False
Let m = -589 + 955. Is 6 a factor of m?
True
Suppose 0 = v + 4*v. Suppose 0 = u - v - 5. Suppose -u*x + 2*x + 27 = 0. Is x a multiple of 5?
False
Let h(a) be the second derivative of a**5/10 + 5*a**4/3 + 8*a**3/3 + 6*a**2 - 28*a. Is 15 a factor of h(-9)?
True
Let f = 35 + -18. Suppose -f + 56 = 3*h. Does 9 divide h?
False
Suppose 36*r - 48*r + 7176 = 0. Is 26 a factor of r?
True
Let w = -16 + 16. Suppose w = -h - 3*h + 16. Is (-1)/h*(-33 - 11) a multiple of 11?
True
Suppose -o + 2*z - 2 = 0, 0*o - z + 1 = 3*o. Suppose 0 = 3*w + m - 141, 3*w - m + 3*m - 138 = o. Is 16 a factor of w?
True
Suppose 25298 + 36927 = 25*z. Is 19 a factor of z?
True
Let d = -554 - -946. Suppose -2*s - d = 4*z + z, 332 = -4*z + 3*s. Is (z/(-30))/((-2)/(-6)) a multiple of 2?
True
Let g = -18 - -20. Let z(v) = 2*v**3 + 2*v**2 + v + 1. Is 3 a factor of z(g)?
True
Suppose 7*i - 12 = -4*q + 9*i, -2*i = q - 13. Suppose -191 = -q*j + 109. Does 15 divide j?
True
Suppose 6*k = 2*k + 16. Suppose -k = -q, 19 = 2*o + 3*o + q. Suppose 6 = -o*z + 123. Is z a multiple of 13?
True
Let h be (2/(-6))/(2/66). Let b = h + 14. Let q = b - -39. Is 14 a factor of q?
True
Let g(j) = j - 5. Let s be g(8). Let v be -2 + 6/s - -144. Suppose -8*k + 4*k + v = 0. Is k a multiple of 9?
True
Let k = 3381 - 2136. Is 83 a factor of k?
True
Suppose 5*o - 8 = -3*g - 33, 2*o = 3*g - 10. Suppose -f + 14 + 5 = g. Does 6 divide f?
False
Suppose -2*k + 0*k = 3*b - 36, -5*b - 5*k + 55 = 0. Is 10 a factor of -4 + 174/42 + 1398/b?
True
Let g(z) = z**2 + 14*z + 27. Let x be g(-12). Does 21 divide (210/(-8))/(x/(-12))?
True
Let k(x) = x**3 + 3*x**2 - 3*x - 4. Let u be k(-3). Suppose 3*z - 12 = 4*z - u*n, -n - 12 = -2*z. Is 3 a factor of z?
False
Is (-32)/64*(-73 - 3/(-1)) a multiple of 5?
True
Let z(b) = b**3 - 2*b + 288. Let r be z(0). Is (16/6)/(8/r) a multiple of 32?
True
Let i = -23 + 27. Suppose -4*y = 4*v - 32, 2*y - 3*y = -i*v + 17. Suppose j = -0 + 2, -y*s + 4*j + 22 = 0. Is s a multiple of 6?
False
Let o(n) be the second derivative of n**5/2 + n**4/24 - 2*n**2 + 3*n. Let u(m) be the first derivative of o(m). Is 11 a factor of u(1)?
False
Let s = 567 - -504. Suppose 5*x - 364 - s = 0. Does 31 divide x?
False
Let z(u) = 18*u**2 + 8*u + 43. Is z(-7) a multiple of 9?
False
Let l = -94 + 282. Is 15 a factor of l?
False
Suppose 29*n = 3*n + 6630. Is 15 a factor of n?
True
Suppose 3*b + 5*j = 2*j + 1635, 2*j = -3*b + 1636. Does 14 divide b?
True
Let m(k) = -4*k - 47. Let h(v) be the first derivative of -v**2/2 - 12*v + 4. Let b(y) = -9*h(y) + 2*m(y). Does 7 divide b(8)?
False
Suppose -698 - 38 = -4*x. Is 8 a factor of x?
True
Let t(b) = 403*b + 2*b**2 - b**2 - 388*b + 17 - 1. Is t(-16) a multiple of 16?
True
Let a = 3121 + -878. Is a a multiple of 26?
False
Let a = -982 + 2053. Is a a multiple of 21?
True
Suppose -5*i + 471 + 126 = h, 0 = i + 1. Does 14 divide h?
True
Let a(d) = 3*d - 5. Let v be a(7). Suppose 0 = v*y - 11*y - 495. Is y a multiple of 37?
False
Suppose 58*w + 728 = 62*w. Is 14 a factor of w?
True
Suppose -c = -2*b - 49, 3*b = -2*b - 2*c - 127. Let r = b + 235. Is r a multiple of 42?
True
Suppose 4*c - 233 = -53. Suppose c = -2*a + 231. Does 19 divide a?
False
Suppose -23 = -2*a + 3*g + 4, -5*a + 81 = -3*g. Let q = -16 + a. Is (q/4)/(3/78) a multiple of 13?
True
Suppose 6*s - 8*s - a = -1749, 3*a = -4*s + 3499. Is s a multiple of 23?
True
Let z = -11 - -15. Suppose -26 = -z*o - 10. Suppose -5*b + 224 = -o*g, 2*b - 116 = -3*g - 2*g. Is 8 a factor of b?
True
Suppose -2*r + 17 = -55. Let l = 111 + r. Does 21 divide l?
True
Let w = 22 + -140. Let d = w - -173. Does 11 divide d?
True
Let x = 60 + -57. Is 22 a factor of (9/6)/(x/366)?
False
Suppose 0 = y + 3 - 1. Let c(p) be the second derivative of 19*p**4/12 + p**3/6 - p**2 - 2*p + 6. Does 18 divide c(y)?
True
Suppose 162 = -0*x + 2*x. Let m = 146 - x. Does 17 divide m?
False
Suppose v - 2*v - 56 = 0. Let x = -39 - v. Let f = x - -6. Is f a multiple of 7?
False
Is (-816)/(-32)*(-56)/(-6) a multiple of 14?
True
Suppose 0 = 5*w - 3 - 27. Let i(x) = 4*x**2 - 7*x - 12. Is 18 a factor of i(w)?
True
Let n(g) = 232*g - 2. Does 46 divide n(1)?
True
Let a be (-5)/(-35)*-2 + 12/(-7). Does 10 divide 1 - a - (25/(-5) - 30)?
False
Let b = -44 - -106. Let m = -19 + b. Does 10 divide m?
False
Let w be (-1 - 8)/3 + 60. Suppose 3 = 3*d - 6. Suppose d*q + 0*q = w. Is q a multiple of 8?
False
Suppose 5994 + 4566 = 40*h. Is 42 a factor of h?
False
Suppose 3*q = 4*l - 557, l + q = -0*l + 141. Is 7 a factor of l?
True
Let s(v) = 2*v**2 + 4*v - 12. Suppose -5*l - 28 = -2*n + 3*n, 2*l + 4*n = -22. Let j be s(l). Is 13 a factor of ((-22)/3)/((-3)/j)?
False
Let m = -111 - -113. Suppose -m*i = 3*x - 161, i = -3*x - 2*i + 159. Is 7 a factor of x?
False
Let x(s) = -2*s**2 + 16 + 2*s + 22 + 31*s**2 - s**3. Is x(29) a multiple of 11?
False
Let h be (-589)/2 - (-6)/12. Let x = 468 + h. Suppose -3*g + 5*g = x. Does 23 divide g?
False
Let u = -271 + 431. Let d = 366 - u. Does 45 divide d?
False
Let u(k) = k**3 - 22*k**2 - 76*k + 36. Does 11 divide u(25)?
True
Let s = -3 - -3. Let v be 2*(-3*(-2)/12 + 2). Let l = v - s. Does 2 divide l?
False
Let p be -5 - (-2)/1 - (-12)/4. Suppose -z + w + 49 = 0, p*z + w - 139 = -3*z. Is 31 a factor of z?
False
Does 16 divide 104/(-12)*1566/(-36)?
False
Suppose 4*a = a + 57. Let h = a - 19. Suppose -2*x + 4*n = -123 - 97, -2*x + 5*n + 223 = h. Is 26 a factor of x?
True
Does 6 divide (-6)/(0 + -1) - (-134 + -46)?
True
Suppose -2*c + 14 = -2. Suppose -4 = j - c. Suppose j*z + 9 = 77. Is z a multiple of 6?
False
Let a = -1408 + 2020. Does 6 divide a?
True
Let n(y) = 39*y - 23. Does 52 divide n(15)?
False
Let z(n) = n**2 + 3*n - 8. Let c be z(-6). Let t(v) = -3 + v**2 + 2 - 4*v + 0 - 2. Is 19 a factor of t(c)?
True
Let x = 552 - -1879. Is x a multiple of 11?
True
Let g(d) = -2*d - 4. Let v be g(-6). Is (v + -10)*(-426)/4 a multiple of 26?
False
Let l(z) = z**3 - 7*z**2 - z + 832. Does 52 divide l(0)?
True
Let i = 74 + -72. Let x = 1 + 1. Suppose 5*f + 385 = i*l + 3*l, 5*l = x*f + 394. Does 21 divide l?
False
Let j = 12 - 9. Let g be 169 + (j - 7)/2. Suppose t - 22 - 31 = -h, -3*h + g = -5*t. Does 22 divide h?
False
Suppose 6*q - 20 = q. Let r = 81 - 78. Suppose 0 = q*z - z + r*j - 27, 3*z - 45 = 3*j. Is 4 a factor of z?
True
Let t = 32 - 27. Suppose t*b + 4*h - 3*h = 20, b - 2*h = 15. Suppose 6 - 81 = -b*r. Does 3 divide r?
True
Suppose -4*j - 5*u = -3966, -5*u + 3*u = -2*j + 1974. Is j a multiple of 14?
False
Suppose p = u - 40, -4*p + 114 = 2*u + 22. Suppose 3*b - 17 = 22. Let i = u - b. Does 19 divide i?
False
Suppose 74*r - 1869 = 71*r. Is r a multiple of 35?
False
Suppose 5*q = 5*g + 560, -22*q + 2*g = -18*q - 442. Does 9 divide q?
False
Let v = 67 - 64. Suppose v*o = -3*k + 459, -2*k + 0*o + 4*o + 318 = 0. Is 16 a factor of k?
False
Let c(f) = 16*f - 12. Let o be c(-6). Let s = o + 226. Does 18 divide s?
False
Let l(x) = x**2. Suppose -4*w - 57 = -5*q, 2*w - 6*w = q + 27. Does 5 divide l(w)?
False
Let u(b) = -b**3 - 12*b**2 + 150*b + 7. Is 8 a factor of u(-21)?
False
Let x = 1782 - 1223. Is x a multiple of 75?
False
Let q(r) = 28*r + 359. Is 3 a factor of q(-5)?
True
Let w = -62 - -138. Let p = w + | {
"pile_set_name": "DM Mathematics"
} |
are there between 1:05 AM and 1:38 AM?
33
What is 688 minutes after 3:58 PM?
3:26 AM
What is 556 minutes after 11:01 PM?
8:17 AM
How many minutes are there between 12:21 PM and 8:15 PM?
474
What is 322 minutes before 1:48 AM?
8:26 PM
What is 530 minutes after 9:41 AM?
6:31 PM
How many minutes are there between 5:57 AM and 10:17 AM?
260
What is 493 minutes before 3:06 PM?
6:53 AM
What is 52 minutes after 1:13 AM?
2:05 AM
How many minutes are there between 5:07 AM and 5:06 PM?
719
What is 446 minutes after 6:34 PM?
2:00 AM
What is 120 minutes before 11:53 PM?
9:53 PM
What is 707 minutes after 10:23 AM?
10:10 PM
How many minutes are there between 3:28 AM and 8:02 AM?
274
What is 672 minutes after 7:39 PM?
6:51 AM
How many minutes are there between 9:13 PM and 6:41 AM?
568
What is 480 minutes after 11:00 PM?
7:00 AM
What is 304 minutes after 8:33 PM?
1:37 AM
What is 250 minutes after 11:51 AM?
4:01 PM
What is 130 minutes before 2:22 AM?
12:12 AM
How many minutes are there between 5:46 AM and 5:03 PM?
677
What is 585 minutes before 7:28 PM?
9:43 AM
What is 578 minutes before 7:59 AM?
10:21 PM
What is 547 minutes before 10:33 PM?
1:26 PM
How many minutes are there between 3:19 AM and 12:55 PM?
576
What is 559 minutes before 7:25 PM?
10:06 AM
How many minutes are there between 5:57 AM and 11:22 AM?
325
What is 153 minutes before 2:41 AM?
12:08 AM
How many minutes are there between 8:16 PM and 7:45 AM?
689
How many minutes are there between 11:34 AM and 7:00 PM?
446
What is 231 minutes before 10:49 PM?
6:58 PM
How many minutes are there between 5:57 PM and 2:18 AM?
501
How many minutes are there between 11:34 AM and 10:04 PM?
630
How many minutes are there between 4:22 PM and 11:31 PM?
429
What is 482 minutes after 10:25 AM?
6:27 PM
How many minutes are there between 2:29 PM and 4:48 PM?
139
How many minutes are there between 3:54 AM and 1:49 PM?
595
What is 9 minutes after 8:17 PM?
8:26 PM
How many minutes are there between 6:09 PM and 1:03 AM?
414
What is 502 minutes after 8:44 PM?
5:06 AM
What is 197 minutes after 12:11 AM?
3:28 AM
What is 485 minutes after 5:25 PM?
1:30 AM
What is 27 minutes after 11:14 PM?
11:41 PM
What is 705 minutes after 5:04 AM?
4:49 PM
What is 612 minutes before 5:38 AM?
7:26 PM
How many minutes are there between 9:00 AM and 9:51 AM?
51
How many minutes are there between 7:22 PM and 1:56 AM?
394
What is 399 minutes after 8:14 PM?
2:53 AM
What is 303 minutes before 3:16 AM?
10:13 PM
What is 237 minutes after 1:53 PM?
5:50 PM
What is 195 minutes after 3:11 PM?
6:26 PM
How many minutes are there between 8:56 PM and 8:40 AM?
704
What is 324 minutes before 9:21 PM?
3:57 PM
What is 135 minutes before 10:27 AM?
8:12 AM
How many minutes are there between 1:56 AM and 9:20 AM?
444
What is 472 minutes after 10:04 PM?
5:56 AM
What is 547 minutes after 8:48 AM?
5:55 PM
How many minutes are there between 6:47 PM and 2:48 AM?
481
What is 458 minutes before 5:52 AM?
10:14 PM
How many minutes are there between 2:09 AM and 5:20 AM?
191
How many minutes are there between 12:12 PM and 5:57 PM?
345
What is 697 minutes before 8:48 PM?
9:11 AM
What is 135 minutes after 1:06 PM?
3:21 PM
What is 300 minutes before 8:17 AM?
3:17 AM
What is 103 minutes after 12:31 AM?
2:14 AM
What is 700 minutes before 12:21 PM?
12:41 AM
What is 474 minutes before 9:45 PM?
1:51 PM
How many minutes are there between 1:28 AM and 2:50 AM?
82
What is 246 minutes before 10:36 PM?
6:30 PM
What is 315 minutes before 1:19 PM?
8:04 AM
How many minutes are there between 4:10 PM and 10:55 PM?
405
What is 526 minutes before 6:55 PM?
10:09 AM
How many minutes are there between 10:28 AM and 6:10 PM?
462
What is 414 minutes after 8:53 AM?
3:47 PM
How many minutes are there between 2:02 PM and 2:38 PM?
36
How many minutes are there between 11:26 PM and 3:37 AM?
251
What is 543 minutes before 10:01 PM?
12:58 PM
What is 454 minutes before 9:50 AM?
2:16 AM
How many minutes are there between 11:30 PM and 7:57 AM?
507
What is 470 minutes after 9:50 PM?
5:40 AM
How many minutes are there between 10:55 PM and 11:01 PM?
6
What is 354 minutes after 5:03 AM?
10:57 AM
What is 466 minutes before 1:30 PM?
5:44 AM
What is 97 minutes after 1:45 PM?
3:22 PM
What is 549 minutes before 2:16 PM?
5:07 AM
What is 181 minutes before 5:47 PM?
2:46 PM
What is 238 minutes after 2:57 PM?
6:55 PM
What is 488 minutes before 5:58 AM?
9:50 PM
How many minutes are there between 6:23 PM and 9:08 PM?
165
What is 610 minutes after 12:17 AM?
10:27 AM
How many minutes are there between 5:04 AM and 2:53 PM?
589
What is 283 minutes after 9:24 AM?
2:07 PM
How many minutes are there between 6:16 AM and 3:46 PM?
570
How many minutes are there between 3:47 AM and 3:33 PM?
706
What is 503 minutes before 9:16 PM?
12:53 PM
How many minutes are there between 4:46 AM and 5:40 AM?
54
How many minutes are there between 8:56 PM and 5:19 AM?
503
How many minutes are there between 5:28 AM and 11:00 AM?
332
How many minutes are there between 11:21 PM and 7:33 AM?
492
What is 462 minutes before 1:29 PM?
5:47 AM
What is 130 minutes before 6:44 AM?
4:34 AM
How many minutes are there between 6:06 AM and 10:55 AM?
289
What is 374 minutes before 1:51 PM?
7:37 AM
How many minutes are there between 7:38 AM and 10:11 AM?
153
How many minutes are there between 5:48 AM and 11:25 AM?
337
How many minutes are there between 10:12 AM and 4:25 PM?
373
What is 439 minutes before 6:24 PM?
11:05 AM
What is 315 minutes before 5:35 PM?
12:20 PM
What is 71 minutes after 9:10 PM?
10:21 PM
How many minutes are there between 1:35 PM and 4:07 PM?
152
What is 135 minutes before 11:21 AM?
9:06 AM
What is 152 minutes before 7:33 AM?
5:01 AM
How many minutes are there between 6:29 PM and 4:57 AM?
628
How many minutes are there between 1:17 AM and 7:12 AM?
355
What is 665 minutes after 10:57 PM?
10:02 AM
What is 416 minutes after 4:00 PM?
10:56 PM
What is 136 minutes after 8:27 PM?
10:43 PM
What is 543 minutes before 5:52 PM?
8:49 AM
How many minutes are there between 3:26 PM and 5:27 PM?
121
What is 317 minutes after 6:34 AM?
11:51 AM
What is 255 minutes before 4:26 AM?
12:11 AM
How many minutes are there between 5:29 AM and 6:05 AM?
36
What is 700 minutes after 11:24 AM?
11:04 PM
What is 203 minutes before 5:35 AM?
2:12 AM
What is 104 minutes before 10:49 PM?
9:05 PM
What is 91 minutes before 9:35 PM?
8:04 PM
What is 592 minutes before 12:36 PM?
2:44 AM
What is 454 minutes after 3:20 PM?
10:54 PM
What is 96 minutes before 10:35 PM?
8:59 PM
What is 444 minutes before 11:12 AM?
3:48 AM
What is 266 minutes before 10:00 AM?
5:34 AM
What is 655 minutes after 9:07 AM?
8:02 PM
What is 556 minutes before 4:35 AM?
7:19 PM
How many minutes are there between 12:16 AM and 8:21 AM?
485
What is 463 minutes before 12:47 AM?
5:04 PM
How many minutes are there between 2:43 AM and 12:55 PM?
612
How many minutes are there between 8:03 AM and 5:59 PM?
596
What is 103 minutes before 9:11 PM?
7:28 PM
How many minutes are there between 11:19 AM and 9:03 PM?
584
How many minutes are there between 11:40 AM and 10:45 PM?
665
How many minutes are there between 6:31 AM and 10:14 AM?
223
What is 149 minutes before 3:57 AM?
1:28 AM
How many minutes are there between 12:39 AM and 12:19 PM?
700
How many minutes are there between 5:06 AM and 9:02 AM?
236
What is 63 minutes after 4:57 AM?
6:00 AM
What is 303 minutes before 1:22 PM?
8:19 AM
What is 38 minutes before 2:35 PM?
1:57 PM
What is 249 minutes after 1:45 AM?
5:54 AM
How many minutes are there between 12:36 AM and 12:08 PM?
692
How many minutes are there between 12:46 PM and 2:54 PM?
128
What is 607 minutes after 8:58 PM?
7:05 AM
What is 414 minutes before 3:43 PM?
8:49 AM
How many minutes are there between 9:22 PM and 8:59 AM?
697
What is 473 minutes after 1:22 PM?
9:15 PM
How many minutes are there between 2:00 AM and 2:41 AM?
41
How many minutes are there between 2:09 PM and 3:31 PM?
82
How many minutes are there between 2:44 PM and 10:03 PM?
439
What is 300 minutes after 1:13 AM?
6:13 AM
How many minutes are there between 9:30 AM and 5:04 PM?
454
How many minutes are there between 12:15 AM and 8:03 AM?
468
What is 172 minutes after 10:07 PM?
12:59 AM
What is 647 minutes before 2:06 AM?
3:19 PM
What is 141 minutes before 9:13 AM?
6 | {
"pile_set_name": "DM Mathematics"
} |
u = 4 + -5. Let d(c) = -c. Let a(k) = 12*k. Let f(i) = -a(i) - 9*d(i). Let t be f(u). Solve 0 = 2*v + v + t*l + 24, 4*l + 14 = 2*v for v.
-3
Suppose -4*t - 3*t = 0. Suppose t = 2*o + 3*o - 3*w - 38, 3*w = -5*o + 32. Solve 9 = n - 4*p - o, -5*p = 3*n + 20 for n.
0
Suppose -17*y = -4*y - 39. Suppose -3*s - 2*o + 5 = 0, 6*o - 3*o = -s - y. Solve -m + 5 = -s*i, 3*m - 5*i + 0 = 7 for m.
-1
Let c be (-1)/3 - 21/(-9). Let w(q) be the third derivative of -5*q**4/12 - 13*q**3/3 - 31*q**2. Let b be w(-3). Solve -v = -y, 2*y + v + c = -b for y.
-2
Let a(k) be the first derivative of -k**3/3 + 8*k**2 + 15*k + 7. Let f be a(16). Solve -3*r - 10 = 2*w, -39 = 5*r - 4*w - f for r.
-4
Let p be (-27)/90 + (-453)/(-10). Let t be ((-6)/8)/((-1)/20). Let b = p - t. Solve -5*z + 2*j + 16 = 0, 4*z + j + 12 = b for z.
4
Let u be ((-28)/3)/(0 + 2/(-3)). Suppose -s - v - v + u = 0, -3*s = -2*v - 2. Solve -5*h = 10, 4*h + 5 = s*f - 3 for f.
0
Let n = 1902 + -1900. Solve 5*i + 7 = g - 0, n*i = -3*g - 13 for i.
-2
Let a be (-24)/18 + (-4)/(-3). Solve 4*d - 6*d = a, 4*k + 16 = -d for k.
-4
Let t = 76 + -73. Suppose -3*h - 43 = 5*p - 7, -39 = 3*p - 4*h. Let q = t - p. Solve 0 = -3*y - q, -4*z + 7 = -z - y for z.
1
Suppose -5*n = 45 - 145. Let l be 1/2*(-10 + n). Solve -4*o = 4*v + 16, -2*o - 4 = -l*o + 5*v for o.
-2
Let j be (-13)/(-5) - ((-49)/35 - -2). Solve j*z - 4*y = -z + 17, -5*z - 4*y - 25 = 0 for z.
-1
Let w(q) = q**3 + 15*q**2 - 6*q + 14. Let k be w(-15). Suppose -49 - k = -9*p. Let c = p - 17. Solve c*a - 4*j + 24 = -a, -2*j = a - 6 for a.
-4
Let v be 0*((-2)/4 + 1). Let f(n) = -n**3 + 15*n + 5*n**3 + 3*n**3 - 8*n**3 - 11 + 13*n**2. Let h be f(14). Solve h*j + 4*b = v, -3*j - b - 2 - 7 = 0 for j.
-4
Let x be (9/3 + 5)*9/12. Let f = -12 + 16. Solve -3*g + 2*z = 0, -2*z = -x*g + f*g for g.
0
Let l = -166 + 172. Solve 0 = 3*k + r + 6, l*k + 18 = 3*k + 3*r for k.
-3
Let t be -1 - -1 - (-4 - (-6)/3). Solve 4 = -t*i + g - 0, 3*g - 12 = -4*i for i.
0
Let n be (-3)/(-1)*((-35)/15 + 4). Let d = 7 + -5. Let k = -3 + 8. Solve 0 = -2*w - d*x + 3*x - k, -5 = n*w - 5*x for w.
-4
Let c(z) = -z**3 - 17*z**2 - 68*z - 16. Let q be c(-11). Solve -s = 2*r - 5, -2*s + q + 4 = -3*r for s.
5
Let o(r) = -r**3 - 9*r**2 - r - 6. Suppose 32 = -3*p + a, -2*a + 55 = 2*p - 7*p. Let c be o(p). Solve 3*i - 1 = 4*i - 2*q, c*q - 3 = 0 for i.
1
Suppose -2*f = -8, -3*z - f + 91 = -0*z. Solve x + 1 = 2*i, 4*x + x + 2*i = -z for x.
-5
Let g(f) = -f + 11. Suppose 48 = 4*i - t + 5*t, 2*i + t = 19. Let q be g(i). Solve 0 = q*u - 4, -2*v + 2*u - 14 = -2*u for v.
-5
Suppose 5*t - 5 + 0 = 4*l, -4*l + 4*t = 0. Suppose -3 + 3 = l*s. Solve -a = 5*o - s*a - 3, 0 = 5*o - 5*a + 15 for o.
0
Suppose h + 2 - 18 = -w, -4*w = -4*h + 64. Let m = h - 17. Let x be m + 1 - (-1 - 1). Solve -5*k - 2*j + 10 = 0, j - 5*j - 4 = -x*k for k.
2
Let s(q) = 2*q - 12. Let f be 18/2*2/3. Let b be s(f). Let n be b + 4/((-8)/(-10)). Solve t = n*o + 16, 0 = -2*t + 3*o - o for t.
-4
Suppose -4*u + 8 = i - 5*i, 3*u - 2*i - 7 = 0. Let s be 0/((-4 - -4) + u). Solve -3*t - 3*b + b = -3, s = 5*t - 4*b - 27 for t.
3
Let u = -24 - -29. Suppose 0*l + u*z = 4*l - 57, -2*z = -6. Solve -w + l = w + 2*g, 3*w + 4*g = 32 for w.
4
Let d(i) = i**2 + 3*i - 25. Let z be d(-7). Solve -3*p + 7*y = z*y - 11, -5*p + y + 7 = 0 for p.
1
Suppose 5*u - 3 = 2*c, -c + 2*c - 1 = 0. Let g = -423 - -426. Solve -5*n + 1 = -g*j - 19, j + u = -4*n for j.
-5
Suppose 1536*w - 1518*w - 180 = 0. Solve -25 = 5*k + j, j - w = 2*k + 5*j for k.
-5
Let n(h) = -h - 3. Let c be n(-6). Suppose -3*t = 5*m - 21, -2*m + 3*t + 9 = c*m. Solve -d = m*k - 16, 2*d + 5*k = 17 + 10 for d.
1
Let u be -3*(-4)/12*-21*-2. Let w = 46 - u. Solve 3*n - 4*a + 6 = 0, -w*a + 11 = -2*n + a for n.
2
Suppose 23*m = 20*m + 195. Let o = m + -53. Solve 5*z = -4*q - o, 3*z + z = 0 for q.
-3
Let z(n) = -54*n - 103. Let a be z(-2). Solve -2*f - 13 = -3*x, a*f + x + 4*x - 30 = 0 for f.
1
Let f(x) = -36*x + 3. Let a be f(0). Suppose 3 = 2*y - 1. Suppose -4*l = 3*j - j + y, 0 = 3*j + a*l - 3. Solve 3*c = -0*c - 6, -j*c = -2*d + 4 for d.
-1
Let u be ((-12)/8)/((-6)/8). Solve m = 5*w + 3, u*w - 2*m + 1 = -5 for w.
0
Let r be ((4 - 4) + -1)*-2. Suppose 2*b - 11 = -3*g, 4*g + 2*b - 16 = -r*b. Solve 2*q - u = 7*q, 0 = -2*q + g*u + 17 for q.
1
Let m be (-171)/(-15) - 26/65. Solve -4*f + 3*h - 3 = m, 5*h - 20 = 5*f for f.
-2
Let h(z) = 2*z**2 + z - 16. Let n be h(3). Suppose 0 = 10*b - 3*b - 7. Solve n*d = -2*a - b, 2*d + 0 = 2*a + 8 for a.
-3
Let u = 84 + -141. Let t = u + 62. Solve -5*x + w + 10 = -0*w, t*w = 3*x - 6 for x.
2
Let m = -8 + 6. Let y = 79 + -86. Let z be y/(m/(-6)*-3). Solve -5*u - 2*i + z = 0, 1 = 3*u + u - 3*i for u.
1
Let c(p) = -4*p**3 - 3*p**2 + 2*p + 4. Let a be c(-1). Solve 2*y = a*l - 18, 2*l - 5*y - 25 + 2 = 0 for l.
4
Let g(v) = v - 37. Let u(h) = -19. Let p(q) = 6*g(q) - 11*u(q). Let o be p(3). Solve -4*i + 0*w - 12 = w, -o*w + 20 = 0 for i.
-4
Let d(q) = -q**2 - 17*q - 33. Let l be d(-10). Suppose -3*m - 3*s + l = 2*s, s - 9 = -m. Solve -6*j + j + 24 = -a, 0 = -4*a - 5*j + m for a.
-4
Let t be (2/6*(0 - 0))/(-2). Let q(n) = n - 15. Let c be q(24). Solve t = 5*u + d + 17, 3*u - d + c = -6 for u.
-4
Let k be (-3 - (-4 + 1))/(-1). Suppose 3*x = -k + 96. Solve -s - 4*o - 7 = -4*s, -x = 4*s + 5*o for s.
-3
Let n(v) = v. Let d(f) = -7. Let j(l) = -d(l) + n(l). Let r be j(-5). Solve 2*u = -2*z - 0*z - 10, r*u + 10 = z for z.
0
Suppose -3*r - 3*i = -7*i + 3, 5*r - 5*i = 0. Solve 2*h + 3 = k + 3*h, -4*k - h = -r for k.
0
Let v = 8 + -7. Let l = v + 3. Suppose 9*t + 2*y = l*t + 70, 0 = 2*t - 3*y - 47. Solve -4*r - 3*k - t = -k, -22 = 5*r + 3*k for r.
-2
Suppose 219 - 227 = -4*y. Solve 8*k - 26 = -n + 3*k, y*k = 10 for n.
1
Let y be (51/(-34))/(3/(-6)). Solve 0 = 4*t + 2*z - 10, 4*z = -t - y*t + 4 for t.
4
Suppose 3*t = 3*y - 42, 25*t - 110 = -5*y + 20*t. Solve -6*x - 32 = -2*x - 3*u, -2*u + y = -2*x for x.
-5
Suppose -72 = -24*z + 15*z. Solve -5*r + 2*j = 30, 0 = 3*r - 5*j + 29 + z for r.
-4
Let d(w) = 2*w**2 + 15*w + 6. Let f(c) = c**2 + c + 1. Let k(a) = d(a) - 3*f(a). Let s be k(12). Solve o + s*b = -0*b + 14, 3*o - b = -8 for o.
-1
Let b(m) = -8*m**3 - 2*m - 2. Let n be b(-1). Solve -4*i + 2*z = 6*z - n, 0 = 3*z for i.
2
Let o be 2009/28 + 18/8 + -2. Let z be o/27 - 1/(-3). Let b be (0*3/3)/(-1). Solve k = -z*u - 3, -2*k + b*k - 6 = u for k.
-3
Let b(q) = 11*q - 39. Let n be b(4). Solve x = -3*k + 9, -x - 15 = 3*x - n*k for x.
0
Suppose 2*w - 2 - 6 = 0. Let b = 7 + -6. Let r be b*(5 - (-4 + 3)). Solve -c + h - r = 0, h = -w*c - c - 12 for c.
-3
Suppose -3*q - 4*z = -8*z + 11, -5*q = -5*z + 10. Solve y + 4 = -4*h, h = -2*h - 3*y - q for h.
-1
Let i(t) = t**2 - 4*t - 8. Let m(n) = 4*n - 2. Let g be m(2). Let c be i(g). Let x be ((-7)/c)/(2/(-8)). Solve 4*h + 6 = -2*a, h = a - 2*h - x for a.
1
Let q = 2 - 2. Let z be -6 + -5 + 8 - -7. Solve q = -5*f + 3*b - 37, z*f + 3*b + 8 = -0*b for f.
-5
Suppose q - 3 = -5*w + 8, 2*w = -3*q - 6. Solve m = w*u + 4, -4*m + m = 2*u - 1 for u.
-1
Suppose 3*z - 9 = 3*a, 0*z + 3*a = z - 1. Suppose m = -z*m + 75. Let b = -114 + 116. Solve 3*s - 2*x = 2*x + b, -m = -5*s - 5*x for s.
2
Suppose 25*o = -9*o + 68. Solve -2*w = 8, 4*c + 6 = o*c - 2*w for c.
1
Let b(r) = r**3 - 3*r**2 + 5*r - 3. Let i be b(4). Let h = 36 - i. Solve -5*t - h*d + 4*d = -1, 5*t = -5*d + 25 for t.
1
Let i(a) = a**2 - 17*a - 102. Let h be i(22). Solve h = -5*c - t, 3*t = -4*c + 5*t + 2 for c.
-1
Let i be 2/10*-42*20/(-8). Suppose 12*x - i - 15 = 0. Let j(g) = g**2 - 5*g - 6. Let u be j(6). Solve -p - x*n - 12 = 0, p - 13 + u = 2*n for p.
3
Suppose -f = -x - 4*x + 288, -2*f + 62 = x. Suppose 4*y = -2*q - 2 + 70, 3*y = -5*q + x. Solve w + 3*i - 3 = 0, 3*i - y = -5*w - 1 for w.
3
Suppose 2*o = 3*k - 4*k - 7, -33 = 3*o - 3*k. Let r be 16/6*o/(-4). Suppose 2*n = r*n - 10. Solve 2*l = n*m - l - 12, -3*l - 12 = 5*m for m.
0
Let m = 15 + -16. Let h be 2 + 14/42*(1 + m). Solve -5 = 5*g + 3*f + 2*f, -10 = 4*g - h*f for g.
-2
Suppose 5 = l - y + 2*y, 3*l = y + 3. Solve b - 15 = -l*b, 4*b = 5*k + 20 for k.
0
Let p be (-7 - -2)*(65/25 - 3). Solve -w + 5*r = -2*w - 20, 5*w + p*r = -31 for w.
-5
Suppose -59 = -7*b + 81. Solve -5*l - 22 = 2*g - l, 4*l = -b for g.
-1
Suppose -m + 3*m + l + 7 = 0, 0 = 3*l + 3. L | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to 1 in 2, -0.2, 0.2?
0.2
What is the closest to 0 in 1/5, -5, -0.5, -0.1?
-0.1
What is the nearest to 5.3 in 0.1, 0.5, 13?
0.5
Which is the closest to -2/5? (a) -2/7 (b) -1/7 (c) 0
a
Which is the nearest to -0.3? (a) 3/7 (b) -1 (c) 0
c
Which is the closest to -16? (a) -1 (b) -51 (c) -1/5
a
What is the nearest to -1/3 in 3/8, 4, 27, -5?
3/8
What is the closest to 0.1 in 1/6, -1/2, -5/7, 1?
1/6
Which is the closest to -1? (a) 0.1 (b) -0.4 (c) -4 (d) -0.3
b
What is the closest to 0 in -3/5, -3, -1/6, -2?
-1/6
Which is the nearest to -92? (a) 3 (b) -3 (c) -4/3
b
What is the closest to -0.2 in 2, 1/8, -12?
1/8
Which is the closest to -3/79? (a) -4 (b) 3 (c) -1
c
Which is the nearest to 1? (a) 2/123 (b) -0.4 (c) -1
a
What is the nearest to -3 in -2/5, -1/2, 1, -2?
-2
Which is the closest to 1/8? (a) -14/3 (b) -2/9 (c) -1
b
Which is the nearest to 1? (a) -27 (b) -1 (c) 1/2
c
Which is the closest to 2/11? (a) -0.018 (b) -1 (c) 0.5
a
Which is the nearest to 2/3? (a) -1 (b) 31 (c) 2
c
What is the closest to -2/9 in -6, 0.1, 0.2?
0.1
What is the nearest to -1 in -0.3, -4, 0, -0.6?
-0.6
Which is the nearest to 1? (a) -1/28 (b) -2/3 (c) 7
a
What is the nearest to -0.1 in 5, 4, 4/7?
4/7
Which is the nearest to 2? (a) -0.4 (b) 4 (c) 2 (d) -28
c
What is the closest to 3/7 in -18, 5, 3?
3
Which is the nearest to 2? (a) -4 (b) 0.5 (c) 1/3 (d) -0.3
b
What is the nearest to -2/7 in -0.4, -1/4, -0.2, 3?
-1/4
Which is the nearest to -2/7? (a) 2/15 (b) -2/9 (c) -1/6 (d) 3
b
Which is the closest to -2? (a) -5/2 (b) 5 (c) -0.5
a
What is the nearest to 0.1 in 1.7, -0.1, -7/5, -0.5?
-0.1
What is the closest to 2 in 5, -3/4, -76/7?
-3/4
Which is the nearest to -1? (a) -3/2 (b) 0.4 (c) 1 (d) -36.4
a
What is the closest to 0.3 in -1, -5, 3?
-1
Which is the nearest to -5? (a) -2/13 (b) 5 (c) 1/5 (d) -0.5
d
What is the nearest to 1 in -215, 3, 2?
2
Which is the closest to -37? (a) -0.4 (b) 3 (c) -3 (d) 2
c
What is the nearest to -0.1 in 0.5, -0.17, 2?
-0.17
Which is the closest to 3/2? (a) 1/3 (b) -0.7 (c) 5
a
Which is the closest to -13? (a) 0.02 (b) 2 (c) -2
c
Which is the nearest to 1? (a) 1 (b) 5 (c) -1/4
a
Which is the closest to -0.0514? (a) 5 (b) -0.4 (c) -2
b
What is the closest to -0.1 in -2, 3/4, 5?
3/4
Which is the nearest to -3? (a) 12 (b) 0 (c) -3 (d) -2
c
What is the nearest to -3/5 in 5, 4/9, 0.1, -13?
0.1
What is the closest to -1 in -0.2, 0.118, 3, -2?
-0.2
Which is the closest to -1? (a) -1 (b) 5 (c) 334
a
Which is the nearest to 0.1? (a) 0.2 (b) 1 (c) -3 (d) 0.5
a
Which is the closest to -2? (a) -4 (b) 1 (c) 33/8
a
Which is the closest to 23/3? (a) 1/3 (b) 0.4 (c) -0.1
b
Which is the nearest to 1/2? (a) 1/6 (b) 29 (c) 4/5 (d) 0.183
c
What is the nearest to -1/3 in -1/3, 0.21, -1, 2/13?
-1/3
Which is the nearest to 2/5? (a) -2 (b) -0.2 (c) 0.085 (d) 17
c
What is the nearest to -0.06 in 0.06, -5, 2, 4/5?
0.06
Which is the closest to -2/7? (a) -4 (b) -8 (c) 0.12 (d) 3
c
Which is the closest to 5? (a) 6 (b) -2/3 (c) -2/9 (d) -0.1
a
What is the nearest to -0.1 in -0.4, -2/3, -0.3, 0.6?
-0.3
What is the closest to -5/33 in -1, 0.3, -3/2?
0.3
What is the nearest to -5/18 in -1/2, -0.02, -1/6, 2/5?
-1/6
What is the nearest to 2/5 in -0.3, -88.7, 3/2?
-0.3
What is the nearest to -2.5 in 50, 4, 0?
0
What is the nearest to -2/117 in 2, 5/4, -0.2, 0.4?
-0.2
What is the closest to 2/19 in 3/8, -2/5, 5, 21?
3/8
What is the nearest to -2 in 0, 4/9, -3/2, 19/5?
-3/2
What is the closest to -2/5 in -0.5, 0, -0.03?
-0.5
Which is the nearest to 2? (a) -0.3 (b) 5 (c) 4
c
What is the closest to 0.1 in -0.039, -4, -0.06, 0?
0
What is the closest to -238 in -3/5, -0.3, 4, -4?
-4
Which is the nearest to 12/5? (a) -5 (b) 5 (c) -43
b
Which is the nearest to -1? (a) 16 (b) 7 (c) 2
c
What is the closest to 1 in -56, -0.4, -2, 0.06?
0.06
Which is the closest to 0.1? (a) -48 (b) 0.1 (c) 0.2 (d) 5
b
Which is the closest to -1? (a) 0.4 (b) -3.7 (c) -5
a
Which is the nearest to 2? (a) -2 (b) 52.6 (c) -0.3
c
Which is the closest to 2/3? (a) -0.031 (b) 0.17 (c) -2/5 (d) -0.1
b
Which is the nearest to -1? (a) 0.1 (b) 9 (c) 0.7 (d) 4
a
Which is the closest to 1/8? (a) -4/5 (b) 2 (c) -0.11
c
What is the nearest to -1 in -1.6, -1/2, 4, 0?
-1/2
Which is the closest to 0? (a) 3 (b) -1.22 (c) -1/2 (d) -0.3
d
What is the nearest to -0.2 in 8, 1/4, 2/5?
1/4
Which is the closest to -0.3? (a) 0.79 (b) -5 (c) -2/7
c
What is the closest to 7 in 0.06, 3/4, -0.2?
3/4
Which is the nearest to -24? (a) 1 (b) -0.07 (c) -1 (d) 5
c
What is the closest to -0.1 in -2/11, 3/11, -1/10?
-1/10
Which is the closest to -0.2? (a) 8 (b) -0.3 (c) -1
b
What is the nearest to 1/2 in 5, 3/2, 1/3, 0?
1/3
Which is the closest to 0.1? (a) 2 (b) -2/9 (c) 4444 (d) -4
b
Which is the nearest to 2? (a) -8 (b) -3 (c) 16 (d) -4
b
Which is the closest to 2? (a) 508 (b) 0 (c) 0.1
c
Which is the nearest to -5? (a) 0 (b) 0.3 (c) 0.02
a
What is the closest to -4 in -0.2, 2, 1/2?
-0.2
Which is the closest to -2/5? (a) -0.5 (b) -4 (c) 2/5 (d) 5
a
Which is the nearest to 1? (a) 0.4 (b) -1/6 (c) -1 (d) -1/2
a
Which is the nearest to -1/2? (a) 438 (b) 5 (c) 0.3
c
Which is the nearest to -0.2? (a) -2/13 (b) -12 (c) -4 (d) 1/8
a
What is the nearest to -2/23 in 0.6, -2, -16?
0.6
Which is the closest to 1? (a) -19 (b) -1 (c) -0.3 (d) -2
c
Which is the nearest to 3? (a) 2/9 (b) -6 (c) -28
a
Which is the closest to 0? (a) -4 (b) 1/10 (c) -42/19
b
Which is the nearest to -1? (a) 1/3 (b) 3 (c) 1/9 (d) 4
c
Which is the closest to 0.01? (a) 2/11 (b) -15 (c) -0.9
a
Which is the closest to 1? (a) -5 (b) 43 (c) -3
c
Which is the nearest to 1? (a) 14 (b) -1 (c) -3 (d) -11
b
Which is the closest to -0.1? (a) 65 (b) -2 (c) -2/9 (d) 0.3
c
Which is the nearest to -1? (a) -2/11 (b) -4 (c) -14 (d) 4
a
What is the nearest to -5 in -7/5, -5, -1/5, 0.3?
-5
Which is the nearest to 2/5? (a) 29 (b) -0.4 (c) -5 (d) 1
d
Which is the nearest to 1/4? (a) -18/7 (b) -0.3 (c) -2/11 (d) 181
c
Which is the nearest to 133? (a) 5 (b) -1/9 (c) 1/6
a
What is the nearest to -0.2 in -2/3, 5/2, 3?
-2/3
What is the closest to 163 in 188, 0.1, -2/11?
188
Which is the closest to 2? (a) 0.06 (b) -2.86 (c) -5
a
Which is the nearest to -7? (a) -1 (b) 19 (c) -3 (d) -4
d
What is the closest to -165 in 0.3, 1, 0.5?
0.3
Which is the nearest to -3/8? (a) -1/4 (b) 10 (c) 5
a
What is the nearest to 1 in 0.4, 0.5, 0.28?
0.5
What is the closest to 6 in 1/4, 6/5, -9?
6/5
What is the nearest to 16 in 0, 4/7, -3/7?
4/7
Which is the closest to 0.06? (a) -2/11 (b) 4 (c) -2/5 (d) -4
a
What is the closest to 2/7 in -2/3, 3/10, -5?
3/10
What is the closest to -1 in -1.1, 0.3, 1, -1?
-1
Which is the nearest to -1? (a) 0.1 (b) 2 (c) -2/7 (d) -2/105
c
What is the closest to 2 in 0.2, 1, 1.05?
1.05
What is the nearest to 17 in 2, 0.4, -3?
2
What is the nearest to -0.4 in 2/7, -24/11, 0.3, 5?
2/7
What is the nearest to -0.29 in -5, 2/9, 5, 3?
2/9
Which is the nearest to 1/2? (a) 0 (b) -3/8 (c) -0.1 (d) -3
a
What is the nearest to 1 in 0.4, 4, 363/5?
0.4
What is the nearest to -2 in 5, 0.6, 4, 5/3?
0.6
Which is the nearest to -2/3? (a) -1 (b) -6/35 (c) -7
a
Which is the nearest to 4? (a) 0.4 (b) 2/3 (c) 58
b
Which is the nearest to -40? (a) -1 (b) -12 (c) 0.2
b
Which is the nearest to 14? (a) -3/5 (b) -0.1 (c) -4
b
Which is the nearest to -1/7? (a) 0.1 (b) -1/3 (c) 1/7
b
Which is the closest to 18? (a) -0.3 (b) 0.3 (c) 3
c
Which is the nearest to -0.3? (a) 0.5 (b) 5/3 (c) -26 (d) -1
d
Which is the nearest to -4? (a) -17 (b) 2 (c) 2/5
c
What is the nearest to 13 in 2, -2/7, -82/9?
2
Which is the closest to 0.2? (a) 2/11 (b) 20 (c) 4
a
Which is the nearest to 2/13? (a) -0.06 (b) 0.16 (c) -3/7 (d) -0.7
b
Which is the nearest to -0.1? (a) 1 (b) 3/167 (c) 1/3
b
What is the nearest to 0.3 in -0.06, -3.1, -2/9?
-0.06
Which is the nearest to 0.1? (a) 4 (b) 3/8 (c) 2 (d) -2
b
Which is the nearest to -1? (a) -5 (b) -2/281 (c) 1/2
b
What is the nearest to -0.1 in -1/4, 1/3, -2/37, 1?
-2/37
Which is the nearest to -3? (a) | {
"pile_set_name": "DM Mathematics"
} |
base 13, what is -2926 + 7?
-291c
In base 2, what is 1101011010101011 + 1111?
1101011010111010
In base 12, what is -382565 + 0?
-382565
In base 5, what is 310102 + 1?
310103
In base 11, what is 5 + -18908?
-18903
In base 5, what is -10102 + -2243?
-12400
In base 7, what is -111020 - -12?
-111005
In base 8, what is -30517 - -22?
-30475
In base 12, what is -5b5 + 17?
-59a
In base 16, what is 488 + -16?
472
In base 10, what is 153493 + -28?
153465
In base 7, what is 1061 - 111?
650
In base 2, what is 11 + 100001111010?
100001111101
In base 4, what is -1323221 - -21?
-1323200
In base 7, what is 24543356 + -1?
24543355
In base 5, what is 2340 + 11331?
14221
In base 15, what is 5 - 2bc?
-2b7
In base 15, what is -3 - 2456?
-2459
In base 8, what is 2 + 34415?
34417
In base 2, what is 1000 + 1111000101110?
1111000110110
In base 16, what is 5353 + -1?
5352
In base 9, what is 67 + 2625?
2703
In base 4, what is -2103330 - 10?
-2110000
In base 2, what is 11010 + -100000110011?
-100000011001
In base 2, what is 101000000111000 - -1?
101000000111001
In base 15, what is -133 - -187?
54
In base 8, what is -5361 + -37?
-5420
In base 12, what is -30a + -8a9?
-bb7
In base 11, what is -4592 - 9?
-45a0
In base 14, what is 1027 + -11?
1016
In base 2, what is 11111111 + 100011010000?
100111001111
In base 8, what is 2 - -7026?
7030
In base 10, what is -4 - -173707?
173703
In base 11, what is 410 + -a3?
318
In base 9, what is 2837 - -18?
2856
In base 5, what is -1022 + 34442?
33420
In base 4, what is 10 - 1230120000?
-1230113330
In base 13, what is -ab753 - -5?
-ab74b
In base 7, what is -23 - 2613?
-2636
In base 5, what is -100 + -32413?
-33013
In base 11, what is -62307 - 5?
-62311
In base 6, what is 314144 - -4?
314152
In base 9, what is 0 - -20444?
20444
In base 15, what is -29a + 18?
-282
In base 5, what is 303 + -3010?
-2202
In base 15, what is -41 + -2ce?
-320
In base 11, what is 3306 - -97?
33a2
In base 7, what is -4 - 26333?
-26340
In base 7, what is 222 - -303?
525
In base 13, what is 26c - 4?
268
In base 13, what is 3c + 7371?
73b0
In base 16, what is 2d + -38?
-b
In base 13, what is 50c159 - -5?
50c161
In base 2, what is -11011 - -1010100111010?
1010100011111
In base 15, what is 5 + 2bb?
2c1
In base 13, what is 220 + -cc?
121
In base 14, what is -76331 + 3?
-7632c
In base 16, what is -5 - 60e74?
-60e79
In base 8, what is -173 + -1715?
-2110
In base 5, what is -2044 - -4101?
2002
In base 13, what is c7 - b?
b9
In base 3, what is -12011012012 + 0?
-12011012012
In base 5, what is 1430113 + 22?
1430140
In base 16, what is -c7fdb + -4?
-c7fdf
In base 10, what is 494 + -80?
414
In base 8, what is -2550 + 54?
-2474
In base 4, what is -2112 + 211003?
202231
In base 12, what is -a3b8 - 1?
-a3b9
In base 15, what is 1 + 2410?
2411
In base 13, what is -460ba - 4?
-460c1
In base 13, what is a04 + -4?
a00
In base 11, what is 14797 + -43?
14754
In base 4, what is -110 + 1220322?
1220212
In base 8, what is 6562 + 36?
6620
In base 14, what is -7113d - 4?
-71143
In base 10, what is -920235 - 5?
-920240
In base 3, what is 12 + -100120202100?
-100120202011
In base 16, what is 135 - -c7b?
db0
In base 6, what is -5103 - 555?
-10102
In base 12, what is -378b8 + 3?
-378b5
In base 8, what is 2 - -120413?
120415
In base 7, what is 4 + 6656?
6663
In base 13, what is -821 + 0?
-821
In base 11, what is -1776 + -1180?
-2946
In base 15, what is 4076 - 2?
4074
In base 15, what is -1d - -1a?
-3
In base 2, what is -1 + 1011101100101?
1011101100100
In base 4, what is 1003003301 - 10?
1003003231
In base 4, what is -11 - 1011133310?
-1011133321
In base 4, what is 1333122 - 13?
1333103
In base 14, what is -6 - -2b?
25
In base 7, what is -2402254 + -1?
-2402255
In base 6, what is 2430 + 4024?
10454
In base 4, what is 3232 + 20102?
30000
In base 13, what is 392c - 90?
386c
In base 7, what is 125 + -44?
51
In base 11, what is 46 - -55?
a0
In base 14, what is -3a329 - 1?
-3a32a
In base 7, what is -1130 - 23266?
-24426
In base 2, what is 110000 - -1001010100?
1010000100
In base 3, what is -1120210 - -120?
-1120020
In base 2, what is 110100110001011 + 10011?
110100110011110
In base 13, what is -2558 + -6?
-2561
In base 16, what is 2a12 - -2f?
2a41
In base 12, what is -2 - -7941?
793b
In base 5, what is -101320433 + 1?
-101320432
In base 2, what is -10110111 - -1000111?
-1110000
In base 16, what is 34 + -84?
-50
In base 14, what is 138ac1 + -2?
138abd
In base 14, what is 9 + 17414?
1741d
In base 6, what is -2 - -23233?
23231
In base 14, what is 15 + -1bb?
-1a6
In base 14, what is 1020 + -165?
c99
In base 11, what is 147a - 17?
1463
In base 3, what is 20221111022 - 1?
20221111021
In base 15, what is cd7e3 + -2?
cd7e1
In base 13, what is -2615 + -4?
-2619
In base 2, what is 1100011111001 + -1101011?
1100010001110
In base 16, what is -5 - 47ca?
-47cf
In base 2, what is -10111110000101 - -10010?
-10111101110011
In base 8, what is -412 - 7?
-421
In base 4, what is 2 - 2003003322?
-2003003320
In base 5, what is -433 - -201?
-232
In base 7, what is -102506 + 5?
-102501
In base 15, what is 1 - -d0060?
d0061
In base 11, what is -36 + 24976?
24940
In base 4, what is -1213310310 + 2?
-1213310302
In base 4, what is -2223201030 + 12?
-2223201012
In base 8, what is -67 - 10142?
-10231
In base 7, what is 4 + -5500?
-5463
In base 3, what is 212012 + 221?
220010
In base 5, what is -1243 + -2322?
-4120
In base 9, what is -3 - 830376?
-830380
In base 10, what is 884 - 3455?
-2571
In base 16, what is 506 - 68?
49e
In base 5, what is 41332442 - -4?
41333001
In base 16, what is -4ee - -a7?
-447
In base 11, what is -356 + 318a?
2934
In base 14, what is -1067d - 5?
-10684
In base 6, what is -321 + 5521?
5200
In base 2, what is 10011101011 - 1001000?
10010100011
In base 3, what is 101 + 10211002?
10211110
In base 9, what is -1584 + 30?
-1554
In base 9, what is -247 + -1780?
-2137
In base 6, what is 20054150 - -3?
20054153
In base 2, what is -1011001111 - -10111?
-1010111000
In base 7, what is 3 - 1061516?
-1061513
In base 8, what is -32 - 200667?
-200721
In base 3, what is -120022 - -1022?
-112000
In base 10, what is 354959 - 0?
354959
In base 12, what is 1 + 2a582?
2a583
In base 16, what is -3 + 10aa1?
10a9e
In base 16, what is a - bd1?
-bc7
In base 9, what is -616 - -547?
-58
In base 11, what is 10874 + -4a?
10825
In base 5, what is 141403 - 33?
141320
In base 9, what is -3 + 16674?
16671
In base 16, what is -9a8d + 3?
-9a8a
In base 16, what is -76 - -e?
-68
In base 13, what is -7c2 - -48?
-777
In base 4, what is -10 - 30302102?
-30302112
In base 8, what is -30054 + -30?
-30104
In base 16, what is e0 - -7ce?
8ae
In base 11, what is -125 - -1055?
a30
In base 5, what is 10 - -131432143?
131432203
In base 3, what is 102121210011120 + 10?
102121210011200
In base 11, what is -5610 + 5?
-5606
In base 6, what is 315 - -105221?
105540
In base 10, what is 398520 + 1?
398521
In base 15, what is -8b9a - 0?
-8b9a
In base 11, what is -181759 - -6?
-181753
In base 7, what is -1 - 1062055?
-1062056
In base 16, what is 15 - -2d23?
2d38
In base 3, what is -12 + 1102011210?
1102011121
In base 5, what is -144 - -1320010?
1314311
In base 13, what is a - -318?
325
In base 7, what is 21605 + -65?
21510
In base 8, what is 7 + 113662?
113671
In base 11, what is a141a + 2?
a1421
In base 15, what is 7b1c - a?
7b12
In base 14, what is -64c0 - -a?
-64b4
In base 8, what is -5 + -25406?
-25413
In base 16, what is 3264 - 1?
3263
In base 11, what is -3 + 186213?
186210
In base 10, what is -206123 - -2?
-206121
In base 6, what is -14 + 2045252?
2045234
In base 14, what is 115 + -b53b?
-b426
In base 13, what is -6 + -4c818?
-4c821
In base 5, what is -14 + 100010111?
100010042
In base 3, what is 0 + -2211222?
-2211222
In base 9, what is 6100 - -8?
6108
In base 16, what is -60 + -730?
-790
In base 7, what is -363 + 3?
-360
In base 2, what is -1100111100010111100 - 0?
-1100111100010111100
In base 2, what is 11100010010010010101 + 11?
11100010010010011000
In base 4, what is -3323 - 1000020?
-1010003
In base 9, what is 6556 - -31?
6587
In base 9, what is -2 - 163211?
-163213
In base 7, what is -1 + -5246524?
-5246525
In base 6, what is 131120 - -214?
131334
In base 8, what is 344463 - -4?
344467
In base 7, what is -336 + -4660?
-5326
In base 5, what is -4 - - | {
"pile_set_name": "DM Mathematics"
} |
2. Does 17 divide s(-3)?
False
Suppose -2*s + 9 = 3*a, -s + 0*s + 3*a - 9 = 0. Let w = 10 + s. Does 10 divide w?
True
Suppose -19 + 7 = -4*f. Suppose -5 - f = -k. Is 8 a factor of k?
True
Let q = -24 + 25. Does 2 divide (11/(-2))/q*-2?
False
Suppose 2*g - 53 - 7 = 0. Is 10 a factor of g?
True
Suppose 0*a = -2*a + 4. Suppose -m - 8 - 4 = 5*q, 3*m = a*q - 2. Does 7 divide 0 - q/2*11?
False
Suppose 3*g + 4*l = 11 + 5, -5*g + 24 = 4*l. Does 15 divide g/((-32)/(-228))*2?
False
Let f = -14 - 11. Let b = -6 - -4. Let u = b - f. Does 8 divide u?
False
Suppose -3*z - 4*y = -171, y - 114 = -2*z + 2*y. Is 17 a factor of z?
False
Let k(g) = -g**3 - 3*g**2 + 9*g - 13. Does 8 divide k(-6)?
False
Suppose -4*v = 2*v - 198. Is v a multiple of 11?
True
Let q = -107 - -178. Is 16 a factor of q?
False
Let g(t) = -17*t - 11. Is g(-5) a multiple of 12?
False
Let j(b) = -b - 3. Let p(l) = l + 3. Let s(m) = -4*j(m) - 5*p(m). Is s(-5) even?
True
Let t(g) = g**3 + 7*g**2 - g - 6. Let i be t(-5). Suppose -5*x - i = 1. Does 3 divide x/(3/(-5 + 2))?
False
Let s = 3 - -1. Suppose s*a = -24 - 92. Let t = a - -55. Is t a multiple of 13?
True
Is ((-4)/(-6))/(4 - 534/135) even?
False
Suppose 4*t + 0*t = 100. Suppose t = -0*q + q. Is 8 a factor of q?
False
Let s = 8 + -6. Suppose -s = -2*i + 32. Does 4 divide i?
False
Let x = 48 - -64. Does 28 divide x?
True
Suppose 32 = -0*u + 3*u - 5*j, j + 4 = 0. Is (24/9)/(u/54) a multiple of 9?
True
Let n(b) be the first derivative of b**4/4 + 2*b**3 - 3*b**2/2 - 2. Is n(-6) a multiple of 7?
False
Let b(v) = 9*v**2 - 8*v + 3. Does 17 divide b(3)?
False
Let c(z) be the second derivative of -z**4/2 + z**3/2 - z**2 - z. Let s be c(2). Does 6 divide s/(-2) + 0 + 1?
False
Let x be -2*(1 - -1) - 0. Let b be (87/2)/((-6)/16). Does 10 divide b/(-6) + x/(-6)?
True
Let m = -136 - -149. Is m a multiple of 9?
False
Suppose -155 = -3*a + a - 3*v, -4*v - 445 = -5*a. Does 17 divide a?
True
Let q(i) = 3*i - 3. Let k be q(4). Suppose 5*z - k + 2 = -g, 0 = 2*g - z - 47. Does 11 divide g?
True
Let y(c) = -c**3 + 5*c**2 - 2*c. Let l be y(3). Let o be l/9*(36 + 0). Let h = o - 14. Is 17 a factor of h?
True
Suppose 2*m + s + 274 = 0, -5*m + 4*m - 4*s - 151 = 0. Let t = -82 - m. Does 10 divide t?
False
Let d = 0 + 3. Suppose 0 = -4*r - 3*v + 81, d*r + 5*v - 51 = r. Does 15 divide r?
False
Let d(y) be the third derivative of y**4/24 + 7*y**2. Is d(9) a multiple of 9?
True
Let t(f) = -38*f**2 + f + 1. Let k be t(-1). Let o = -16 - k. Is 11 a factor of o?
True
Suppose 16 = -3*o - o. Suppose 0 = -3*u - 2 - 4. Does 6 divide ((-16)/o)/(u/(-7))?
False
Let z(n) = -5*n**2 + n - 14. Let o(j) = -j**2 + j - 1. Let l(k) = -6*o(k) + z(k). Let u(g) = -5*g - 8. Let f be u(-3). Is l(f) a multiple of 6?
True
Let i(h) = 20*h - 20. Is 52 a factor of i(14)?
True
Suppose 0 = 3*q - 434 - 10. Let b = -102 + q. Does 14 divide 6*(-3 + b/6)?
True
Is 5 a factor of (-12)/(-72) - 106/(-12)?
False
Let k(o) = 7*o**2 - 4*o + 1. Let g be k(4). Suppose -g = 5*v - 547. Suppose -2*w + 4*m = -8, 5*w - 2*m - v = -6*m. Does 7 divide w?
True
Let x(w) = 23*w + 1. Suppose 3*o - 211 = 4*l, -3*o - 175 = 3*l - 22. Let v be (-60)/l - (-6)/(-39). Does 24 divide x(v)?
True
Let f(u) = u**2 - 2*u + 7*u + 0 + 3. Let r be f(-6). Let k = r + 3. Does 6 divide k?
True
Let q(b) = b**3 + 5*b**2 - 5*b + 7. Let g be q(-7). Suppose 0 = -l + 6*l + 100. Let j = l - g. Does 18 divide j?
True
Let w be 1194/30 + 2/10. Let r be 223/(-9) - (-4)/(-18). Let p = w + r. Is p a multiple of 7?
False
Let g(v) = -v**2 + 1. Let z be g(1). Suppose -3*x = x - 80. Does 4 divide (x + z)/2 + 1?
False
Let o(n) = -4*n - 13. Let c be o(-5). Let q = -33 + 54. Let y = q + c. Is y a multiple of 12?
False
Let t be 45/9 - 1*-2. Does 6 divide 126/t*8/6?
True
Let r(v) = 14*v - 12. Is r(3) a multiple of 15?
True
Does 8 divide ((-168)/30*-2)/(1/5)?
True
Suppose 5*q = 3*m + 57 + 38, -2*m = q - 19. Suppose q = 2*i + 1. Is i a multiple of 5?
False
Let m = -7 + 11. Let c = 9 + m. Is 7 a factor of c?
False
Let r(i) = 10*i - 9. Let h = 21 - 17. Does 9 divide r(h)?
False
Let d be -1*1 - (1 + 1). Suppose 0 = -y + 7 + 7. Let s = y + d. Does 3 divide s?
False
Let l be 130 + (-1 - -2)/(-1). Suppose 4*t - l = o, -3*t + o = -8*t + 168. Does 11 divide t?
True
Let p(l) = -l**2 + 10*l - 7. Let m(d) = d**2 + 7*d - 11. Let o be m(-9). Is p(o) a multiple of 7?
True
Let w = -126 - -240. Is w a multiple of 19?
True
Let h = 7 + -1. Is 21 a factor of (-27)/6*(-64)/h?
False
Let p = -243 + 403. Is 13 a factor of p?
False
Let i(s) = -s + 7. Let t be i(5). Let a be 155 + 3 - (-4)/t. Is (-2)/6 + a/12 a multiple of 13?
True
Does 8 divide 93/(-9)*-9 - -3?
True
Let t(w) = -18*w**2 - w - 1. Let j = 2 - 3. Let z be t(j). Let v = -1 - z. Is 9 a factor of v?
False
Let b(z) = z**2 - 2*z - 2. Let i(a) = -3*a**3 + a**2. Let d be i(-1). Is b(d) a multiple of 6?
True
Suppose 0 = -0*v - v + 39. Is v a multiple of 13?
True
Let l be 20/(-15)*6/4. Let z be ((-7)/3)/(l/(-6)). Let n(i) = i**3 + 8*i**2 + 5*i - 8. Is 3 a factor of n(z)?
True
Let i = -1 - -5. Suppose -2*h + 7*h = 15. Suppose -3*b + 4*z + 44 = 0, h*b + i = -3*z + 55. Does 7 divide b?
False
Let k be 45/(-15)*(-2)/(-3). Is 5 a factor of (-69)/(-9) + k/3?
False
Let v(j) = -3 + j**3 + 7 + 9 - 11*j**2 + 9*j. Let n be v(10). Suppose n*l + 0*l = -4*u + 33, -5*u - 4*l = -40. Is 6 a factor of u?
True
Is 13 a factor of ((-39)/2)/((-2)/12)?
True
Let g(r) = -r**3 + 5*r**2 + 4*r - 4. Does 4 divide g(5)?
True
Suppose -5*v = 2*s - 267, s + 3*s - 94 = -2*v. Does 10 divide v?
False
Let n(r) = 2*r + 2. Let k be n(-4). Is 14 a factor of (k/(-4))/((-9)/(-84))?
True
Suppose -92 = -2*c + 4*g, -4*c = -3*g - 47 - 127. Is 14 a factor of c?
True
Suppose -7*q - 44 + 443 = 0. Is 19 a factor of q?
True
Let f(g) = -g**2 + 10*g - 7. Let p be f(9). Let q(l) = 8*l + 0 + 2*l**2 + 4*l**2 - l**3 - p. Is 3 a factor of q(7)?
False
Is 6 a factor of (-282)/(-4)*(-3 - 22/(-6))?
False
Let r(q) = -2*q**3 + 3*q**2 + 18*q - 12. Let z(t) = -3*t**3 + 5*t**2 + 27*t - 18. Let w(c) = 7*r(c) - 5*z(c). Is w(6) a multiple of 12?
True
Let s(i) = 79*i**2 - i. Let t be s(-1). Suppose t = 4*j - 156. Let m = j - 39. Does 14 divide m?
False
Let p be (-1)/((3/75)/(-1)). Suppose -14 - p = -k. Is 11 a factor of k?
False
Let s(z) = 1 + 5 + 21*z - 53*z. Is s(-2) a multiple of 16?
False
Let b be 2 + (5 + -2 - 1). Let z = 4 + b. Is 6 a factor of z?
False
Let d be 8/(-44) + (-92)/(-22). Let l be d/(-2 + 3/1). Suppose -2*x + l*x = 8. Is x a multiple of 4?
True
Let o be (-173)/(-4) - (-5)/(-20). Suppose -16 + 52 = 3*x. Suppose 2*l - o = -5*m, 53 = 3*m + 5*l + x. Is 4 a factor of m?
False
Let b(n) be the third derivative of n**5/60 + n**4/6 - n**3/2 - 3*n**2. Let s be b(-5). Suppose -4*t = 4*p - 52, -3*t - s*t = p - 17. Does 6 divide p?
True
Let o = 3 + 0. Let r be (-5)/(3/o)*-3. Let y = r + -4. Is y a multiple of 5?
False
Let d(j) = -j**2 - 4*j + 7. Let h = -1 + -4. Let l be d(h). Suppose -4*t = -l*f - 64, 2*t + t = -2*f + 55. Does 17 divide t?
True
Let u(d) = -d + 2. Let a = 2 + 1. Let b = a - 6. Does 4 divide u(b)?
False
Let b = -9 - -8. Let h = 3 - b. Suppose 2*u - 30 = -h. Is u a multiple of 12?
False
Suppose -5*l + y + 2*y - 2 = 0, -3*l + 3*y - 6 = 0. Let f be 3/((-3)/2) + l. Suppose 4*p + f*p - 40 = 0. Is p a multiple of 5?
True
Let a be 52/10 + (-1)/5. Let o(w) = -w**2 + 6*w - 2. Let s be o(a). Suppose 3*u + 2*n - 5*n - 39 = 0, s*u + 3*n = 69. Is 18 a factor of u?
True
Let g = 10 - 6. Suppose g*m - 70 = 98. Is m a multiple of 14?
True
Suppose 4*g + 2 = 4*w - 3*w, -g - 32 = 5*w. Let c = w - -8. Suppose 0 = 4*l + l - 4*z - 158, 0 = -c*z + 6. Is l a multiple of 17?
True
Let g(f) = -142*f - 2. Let t be g(1). Let r = -62 - t. Is r a multiple of 14?
False
Suppose g + 4*g = -4*i - 105, 0 = 3*g + 4*i + 63. Is (36/g)/((-4)/42) a multiple of 10?
False
Let x(j) = 3*j**2 - 3*j + 2. Let g be x(3). Suppose 3*m - 4*m + g = 0. Is m a multiple of 7?
False
Suppose 0 = 2*k + 2*k - 2*q + 24, 5*k - 2*q = -28. Let r = 18 + k. Is r a multiple of 14?
True
Let n(t) = t**2 + 15*t - 12. Let u be n(-16). Suppose 5*s = 2*s. Is s + (1 + u - 0) a multiple of 2?
False
Let r(u) = 3*u**3 - 4*u**2 + 2*u - 4. Let k be r(3). Suppose 4*s - a = -s + 73, 3*s + a = k. Is s a multiple of 12?
False
Suppose -5*t - 41 = -11. Let w be ( | {
"pile_set_name": "DM Mathematics"
} |
second derivative of o(c) wrt c.
660*c**3
Let k(n) be the first derivative of 4*n**5/5 - 5*n**3 - 14. What is the third derivative of k(o) wrt o?
96*o
Suppose 9 = 4*c + 1. What is the first derivative of -7 - 4*f**2 - f**2 - 3*f**c + 2*f**2 wrt f?
-12*f
Let k(r) be the first derivative of 19*r**5/5 + 19*r + 14. What is the first derivative of k(a) wrt a?
76*a**3
Let w(d) be the first derivative of d**5/15 - d**3/6 - 2*d**2 - 1. Let b(x) be the second derivative of w(x). What is the derivative of b(s) wrt s?
8*s
Let h = -7 - -6. Let o(r) = r**3 - 2*r**2 - 3*r + 2. Let g(c) = -c**3 + c**2 - 1. Let b(a) = h*o(a) - 2*g(a). What is the second derivative of b(u) wrt u?
6*u
Suppose l = 4, 2*c - l + 10 = 2*l. What is the derivative of -3 - 1 + 0 - 3*k + c wrt k?
-3
Let b = -8 - -10. Find the first derivative of -30*i + 7 + 30*i - 1 - 7*i**b wrt i.
-14*i
Let f(d) = -d**3 - 2*d**2 + d - 4. Let i be f(-3). Let b(g) = g**2 - 2. Let v be b(2). What is the second derivative of v*y + 5*y**2 - y**3 - 5*y**i wrt y?
-6*y
Find the first derivative of 25 - 1389*r**2 + 1404*r**2 - 18 + 26 wrt r.
30*r
Suppose 17 + 9 = 5*a - 3*c, -4*a + 2*c + 20 = 0. Let v = a - 2. What is the second derivative of 4*h**4 + 0*h - v*h**4 + 2*h wrt h?
24*h**2
Find the second derivative of 13*r - r + 4*r - r**3 + 10*r**3 wrt r.
54*r
Let v(y) = y - 8. Let j be v(12). What is the second derivative of -h + 3*h**4 + 5*h - h**j - 2*h wrt h?
24*h**2
Let h(m) be the first derivative of 2 - 2*m**2 + 0*m + 2/3*m**3. What is the second derivative of h(a) wrt a?
4
Suppose 4*a - 22 - 42 = 0. What is the first derivative of 2 - 11*h**4 - 1 + a*h**4 wrt h?
20*h**3
Let y(g) be the first derivative of 1 - 2*g**3 + 2 + g**3 - 30*g + 21*g. Differentiate y(d) with respect to d.
-6*d
Let v(s) be the second derivative of -29*s**5/10 - 11*s**4/12 - s**3/3 + 37*s. Find the third derivative of v(k) wrt k.
-348
Let i(y) = -y**3 + 4*y**2 + 5*y + 5. Let d be (1 + -3)/(-1) + 3. Let h be i(d). Find the second derivative of -4*v**5 + 7*v**5 - 4*v - 4*v**h wrt v.
-20*v**3
What is the first derivative of 23 - 12 - 17 - 5*k**3 wrt k?
-15*k**2
Let a = -1 + 2. Let j(t) = 0 - a + t**3 + 0 + t. Let z(o) = 2*o**4 + 6*o**3 + 6*o - 4. Let y(m) = 6*j(m) - z(m). What is the derivative of y(c) wrt c?
-8*c**3
Let l(w) be the second derivative of -w**8/56 + 5*w**4/3 + 26*w. What is the third derivative of l(o) wrt o?
-120*o**3
Suppose -18 = -5*u - 3, 0 = -5*a - 2*u + 1. Let c be a + -1 + 2*3. What is the second derivative of 0*q**c - q**5 + 0*q**4 + 2*q wrt q?
-20*q**3
Let t(j) be the second derivative of -j**9/3780 + j**7/840 - j**4/3 - 4*j. Let c(f) be the third derivative of t(f). Find the third derivative of c(h) wrt h.
-96*h
Let v(z) be the first derivative of -7*z**3 - 3*z**2 - 14. Find the second derivative of v(m) wrt m.
-42
Let l(j) be the second derivative of -7*j**4/4 - 15*j**2/2 - 20*j. What is the derivative of l(h) wrt h?
-42*h
Let s be 0 - (-18)/(-3) - 0. Let u be (-96)/(-18) + 2/s. What is the second derivative of u*k - 4*k**4 + 2*k**4 - 2*k**4 + 0*k**4 wrt k?
-48*k**2
Let v(q) be the second derivative of -5*q**7/14 - 8*q**3/3 + 18*q. What is the second derivative of v(o) wrt o?
-300*o**3
Find the second derivative of -1984*f**2 - 17*f + 1984*f**2 + 28*f**4 wrt f.
336*f**2
Find the first derivative of -7 + 4 + 8 - 8*r**4 wrt r.
-32*r**3
Let t(r) be the third derivative of 7*r**6/120 - r**4/4 + 5*r**2. What is the second derivative of t(f) wrt f?
42*f
Let c be (-28)/49*7/(-2). What is the third derivative of -7*x**6 - 2*x**c + x**6 + 6*x**2 + 2*x**6 wrt x?
-480*x**3
Suppose -7 - 25 = 4*h. Let y(d) = -d**2 - 7*d + 11. Let b be y(h). Differentiate 3 - 4 + 0*r + b*r wrt r.
3
Let w(v) be the third derivative of 7/6*v**3 - v**2 + 0 + 1/3*v**4 + 0*v. Differentiate w(n) with respect to n.
8
What is the second derivative of -22*o**3 - 30*o + 1513*o**2 - 1513*o**2 wrt o?
-132*o
Let z(f) = -11*f + f - 10 + 2*f - 5*f. Let o(i) = -20*i - 15. Let r(t) = 5*o(t) - 8*z(t). Differentiate r(c) wrt c.
4
Let i(x) = x**2 + 7*x - 4. Let n be i(-8). Find the second derivative of -l**2 - l**2 + n*l**2 - 2*l wrt l.
4
Suppose -3*c - 5*k + 25 = 0, 3*k + 7 = 2*c + 3. What is the derivative of -2*x**3 + 1 - c + 5 wrt x?
-6*x**2
What is the third derivative of 0*t**4 - 20*t**2 - 6*t**4 + 12*t**2 - 2*t**4 wrt t?
-192*t
Find the second derivative of -11*l + 78*l**2 - 24*l**2 - 44*l**2 wrt l.
20
Let u(b) = -b**3 - b**2 + 5*b - 5. Let o(d) = -d**2 + d - 1. Let g(y) = 5*o(y) - u(y). What is the third derivative of g(c) wrt c?
6
Let f(l) = 49*l**2 + 33. Let j(x) = -147*x**2 - 99. Let h(m) = -11*f(m) - 4*j(m). What is the first derivative of h(z) wrt z?
98*z
Let a(p) be the second derivative of 0*p**4 + 0*p**5 + 0*p**3 - 1/10*p**6 - 4*p + 3/2*p**2 + 0. What is the first derivative of a(w) wrt w?
-12*w**3
Let a be 4/(-32) - (-68)/32. Suppose 0 = -0*q - 5*q + 15. What is the second derivative of -v + q*v - v - 2*v**a + 2*v wrt v?
-4
Suppose -3*p + 3 = -3*g - 0*p, -2*p = -5*g + 7. Let r be 3 + (-1 - 0/(-2)). What is the third derivative of -3*k**g + 5*k**3 + k**r - k**3 wrt k?
6
Let c(n) be the second derivative of -n**5/4 + n**4/2 - 6*n. What is the third derivative of c(p) wrt p?
-30
Let p(j) = -j**2 + 7*j + 4. Let w be p(7). Let m be (6 - 3)/3*5. What is the third derivative of b**2 + w*b**5 - 3*b**2 + 7*b**2 + b**m wrt b?
300*b**2
Let z(i) be the second derivative of i**8/560 + i**6/360 - 2*i**3/3 - i. Let h(k) be the second derivative of z(k). Find the third derivative of h(p) wrt p.
72*p
Let s(n) = -32*n**5 + 11*n**4 - 9*n - 11. Let j(c) = 11*c**5 - 4*c**4 + 3*c + 4. Let m(o) = -11*j(o) - 4*s(o). What is the second derivative of m(v) wrt v?
140*v**3
Let u(l) = 5*l. Let n(h) = 4*h + 4*h + 1 - 3*h. Let x(b) = 4*n(b) - 3*u(b). What is the first derivative of x(k) wrt k?
5
Differentiate 3*o + 4*o**4 - 3*o - 1 wrt o.
16*o**3
Let u(w) be the second derivative of w**9/504 - w**5/20 + 3*w**2/2 + 2*w. Let k(l) be the first derivative of u(l). What is the third derivative of k(r) wrt r?
120*r**3
Let r(q) = 2*q - 2. Let y be r(5). Find the second derivative of -y*j + 0*j**5 + 5*j + 2*j**5 wrt j.
40*j**3
Find the second derivative of -2 + 2 + 6*z - 9*z**2 wrt z.
-18
What is the first derivative of -6*z**3 - z**3 + 1 - 3 wrt z?
-21*z**2
What is the derivative of -10*h - 4 - 5*h + 12*h wrt h?
-3
Let u(m) = 9*m**3 + 2*m**2 - 11. Let g(r) = -2*r**2 - 6 + 5*r**3 + 0*r**2 + 3*r**2. Let q(s) = 11*g(s) - 6*u(s). Find the third derivative of q(v) wrt v.
6
Let l = 6 - 0. Find the third derivative of l*s**2 + 21 - 21 - 4*s**4 wrt s.
-96*s
Let j = 29 - 26. Let d = -3 - -6. What is the second derivative of -5*n - 5*n**3 + j*n**d - 3*n + 5*n wrt n?
-12*n
What is the second derivative of k**3 + 0*k**3 - 2*k - 3*k wrt k?
6*k
Let c(v) be the second derivative of 7*v**5/10 - v**4 - 15*v. What is the third derivative of c(x) wrt x?
84
Let j(q) be the first derivative of 0*q**4 + 0*q**2 + q - 2 - 9/5*q**5 + 0*q**3. Differentiate j(h) with respect to h.
-36*h**3
Let g(s) be the first derivative of -3*s**4/4 + s - 4. Differentiate g(c) wrt c.
-9*c**2
Let k(o) = o**3 - 1. Let m(y) = -2*y**3 + 24*y + 3. Let c(s) = 3*k(s) + m(s). Find the second derivative of c(p) wrt p.
6*p
Let t(z) be the third derivative of -z**7/70 + 3*z**5/20 + 20*z**2. Find the third derivative of t(m) wrt m.
-72*m
Suppose -11*m + 36 = -7*m. Find the second derivative of 6*s**3 - s**3 + s + m*s + s wrt s.
30*s
Let n(l) = 103*l**3 - 17*l**2 - 114. Let y(t) = 17*t**3 - 3*t**2 - 19. Let r(b) = -6*n(b) + 34*y(b). Find the first derivative of r(m) wrt m.
-120*m**2
Let f(q) = 34*q**4 + 17*q**2 - 53*q - 17. Let y(m) = 11*m**4 + 6*m**2 - 18*m - 6. Let s(z) = -6*f(z) + 17*y(z). What is the second derivative of s(g) wrt g?
-204*g**2
Let u(t) be the first derivative of -8*t**5/5 - t**3 + 3. What is the third derivative of u(c) wrt c?
-192*c
Suppose 4*m - 5*a = 22, -2*m + 3*a = -0 - 12. Let v(g) = -g**2 + 7*g - 3. Let p be v(6). Find the third derivative of p*h**4 - 3*h + m*h + 2*h**2 wrt h.
72*h
Suppose 2*b - 10 = -3*y, 0 = -5*y + 3*b - 0*b - 15. Let a = 3 - y. What is the first derivative of 2*m**4 - 3 - 20*m**3 + 20*m**a wrt m?
8*m**3
Let q(r) = 4*r**3 - 5*r**2 + 9*r - 41. Let g(p) = -3*p**3 + 6*p**2 - 10*p + 40. Let | {
"pile_set_name": "DM Mathematics"
} |
= -4*w, -m - 53 = -3*w. Calculate the least common multiple of (26/12 - (-6)/(-4))*3 and w.
16
Let x = -72 - -6. Let w = x - -68. Calculate the lowest common multiple of w and 7.
14
Let c be 132440/(-64) - (-3)/(-12). Let g = c + 2074. Find the common denominator of 35/2 and g.
8
What is the lowest common multiple of 18 and (-2652)/15*(-4 + 49/(-14))?
3978
What is the lowest common multiple of 6*11 - (-80)/(-40) and 216?
1728
Let s be 2/6 + 7645/15. Let w be ((-2)/(-4))/((-17)/s). Find the common denominator of -8/5 and (3/(-7))/(w/(-160)).
35
Let x = -60405/26 - -2320. Let z(q) = q**3 - 15*q**2 - 2. Let b be z(15). Find the common denominator of x and (-402)/18 + b/(-3).
78
Let j = -243 - 50. Find the common denominator of ((-1614)/24 - -5)/12 and 1/3 + j/6.
16
Let x = 2/7197 - -218293/57576. Find the common denominator of -1/96 and x.
96
Suppose 0 = 4*u - 0*h - 5*h - 16, -u + h + 4 = 0. Suppose -3*x = x + 2*t + 2, 13 = x - u*t. Calculate the common denominator of 73/4 and 0 + x*141/(-6).
4
Let v(x) = -52*x**3 - x**2 + 2*x + 2. Let l be v(2). Let j = -743/2 - l. What is the common denominator of 11/9 and j?
18
What is the common denominator of -1/11 and 983/6530 + (-61)/610?
7183
Let y = 8 + -14. Let d = 8339/1236 - 34/103. Find the common denominator of d and y/21 + 1670/504.
36
Let v be (-10)/(-4)*(-28)/(-35). Suppose -v*k = -5*a - 7 - 18, -3*a = 4*k + 15. Let f(g) = -4*g. What is the least common multiple of 18 and f(a)?
180
Suppose -8*v + 2088 = 10*v. Calculate the least common multiple of v and 18.
1044
Let z = -79 + 112. Let j(f) = f**2 - 7*f + 9. What is the lowest common multiple of z and j(6)?
33
Let o = 94 + -222. What is the common denominator of 29/2 and ((-2)/o)/(-5 - 2345/(-470))?
32
Let s = 8918 + -133711/15. Calculate the common denominator of -55/9 and s.
45
Let h(d) = 2*d**2 + 6*d + 2. Let a be h(-3). Suppose -a*k - 8*k = -160. What is the lowest common multiple of 8 and k?
16
Let m = 569 - 553. Calculate the lowest common multiple of m and 16.
16
Let j(r) = r**2 + r + 14. Let y be j(-8). Let v = -54 + y. Calculate the smallest common multiple of v and 20.
80
Calculate the common denominator of (-2 - 1) + 1 - 8216/(-3555) and -27/10.
90
Suppose 1471*d - 1475*d + 704 = 0. What is the least common multiple of d and 8?
176
Calculate the lowest common multiple of 111 and (-3776)/(-104) + 4/(-13).
1332
Suppose -23*a + 25*a + 28326 = 0. Let w = a + 169817/12. Calculate the common denominator of -89/32 and w.
96
Let u be 40 - (-1 + 1)/1. What is the smallest common multiple of 66 and (-2)/10 - (616/u)/(-7)?
66
Let p be (-781)/44 - (-2)/(-8). Calculate the smallest common multiple of (27/2)/(p/(-24)) and 8.
72
Let s(i) = -i**3 + 9*i**2 + 9*i - 1. Let q be s(7). Let z = 11 + -13. What is the common denominator of 82*4/q*z and 95/2?
10
Let s(w) = -w**2 - 13*w + 19. Let a be s(-14). Suppose 10*r = a*r + 20. Suppose -3*m = -4*m + 4. Calculate the lowest common multiple of r and m.
4
Let u = 2589413/738 - 75272/123. Let q = u + -2898. Calculate the common denominator of q and (43/5)/((-22)/5).
198
Suppose 11490967 = 4*a + 1950695. Let h be -2 + (a/48)/7. Let s = 7102 - h. Find the common denominator of -11/4 and s.
12
Let j = -4598 - -36869/8. Find the common denominator of j and -6 - ((-3210)/(-72))/(-5).
24
Let u(g) = g + 6. Let q be u(-3). Suppose k - 83 = -q. Suppose -k = -7*c + 3*c. Calculate the least common multiple of 4 and c.
20
Let r = 392 - 350. Calculate the least common multiple of 77 and r.
462
Suppose 35 = 11*r - 16*r. Find the common denominator of -131/18 and (0 - 0) + r/(-6).
18
What is the common denominator of 9 - (61173/(-810))/(-7) and 123/250?
2250
Suppose -8 = -2*t + o, t + 9*o - 6*o = 18. Calculate the lowest common multiple of t and 26.
78
Let j(h) = 7*h - 4 - 4 - 1 + 4. Let a be j(-5). Find the common denominator of (-3)/2 + (-16)/a and -95/8.
40
Suppose -99 = -5*l + 2*l. What is the least common multiple of (-2)/5 - ((-3)/(-1))/((-135)/1368) and l?
330
What is the common denominator of (111/6)/(((-2828)/(-8))/7) and 34/9?
909
Let q = 25835/12 - 2154. Let x = 9987 - 339593/34. What is the common denominator of x and q?
204
Let r = 86 - 76. Calculate the smallest common multiple of r and 8.
40
Let p = -16835183 + 23838621221/1416. Let u = 85/177 + p. Calculate the common denominator of u and (-32)/40 - (1 - -2).
120
What is the lowest common multiple of (116/1)/1 - -1 - 3 and 27?
1026
What is the common denominator of 148/(-27)*(0 - (-15)/10) and (3 + 562/(-18))/(-4)?
18
Let h = -623 + 767. Calculate the smallest common multiple of 16 and h.
144
Let h = 2/1761 + 2929/5283. Let v = -184 + 1347/7. Calculate the common denominator of h and v.
63
Suppose -3*v - 6 = -4*v. Let x(o) = -o**3 - 11*o**2 + 10*o + 21. Let s be x(-12). Suppose s = -3*g + 8*g. Calculate the least common multiple of g and v.
18
Let g(u) = u**3 + 7*u**2 + 4*u - 3. Let k = 0 + 11. Let b = k + -17. What is the least common multiple of 2 and g(b)?
18
Let l be 362/2232*(-8 + 11). Let k = l + 3/31. Let h = k + 19/24. Calculate the common denominator of h and 25/8.
8
Let g be -1*(3 + 134) + 0. Calculate the common denominator of 14 + -12 + g/6 and -37.
6
Suppose -7*l - 5282 = -16*l - 10*l. Let o(c) = 2*c - 2. What is the least common multiple of l and o(2)?
278
What is the common denominator of -57/188 and 1/10*(-6435)/(-154)?
1316
Let x(i) = i**3 + 10*i**2 + 8*i + 12. Let a be x(-9). Let b = a - 12. Suppose -19 = -2*u + b. What is the lowest common multiple of 20 and u?
140
Let n(t) = -17*t + 2. Let q be n(-2). Let s be (-2)/(-8) + (-1197)/q. Calculate the common denominator of s/(-18) + -2 - -1 and 79/28.
84
Let i = 963 + -471. Let j be (i/15)/((-2)/(-5)). What is the common denominator of 71/4 and 2 - (j/20)/(-1)?
20
Let x = 419/39 + -211322/19695. Let q = 7993/1010 - x. Calculate the common denominator of q and 79/8.
40
Let a = 42 - 30. Let c = 5 + -20. Let j = c - -23. Calculate the least common multiple of a and j.
24
Let q(b) = -b**3 - 18*b**2 - 15*b - 44. Let u be q(-17). What is the lowest common multiple of -1 - 2*u/12 and 33?
132
Find the common denominator of 89/34 and -9 + -7 + 7491/459.
306
Let i(f) = -2*f - 14. Let d = 29 - 21. What is the lowest common multiple of i(-9) and d?
8
What is the common denominator of (-71)/10*(-40)/400 and -61/10?
100
Let i(m) = m**2 - 2*m + 1. Suppose 92*a = 96*a - 96. Calculate the lowest common multiple of i(-2) and a.
72
Let n = -85848 - -21204486/247. Calculate the common denominator of 11/95 and n.
1235
Calculate the common denominator of (10122/(-828))/7 - (-12)/18 and 81/230.
690
Let p = 27 + 27. Calculate the smallest common multiple of p and 27.
54
Let x = -387 - -4250/11. Let w be 3 - (25194364/139680)/13. Let q = w + -1/4365. Calculate the common denominator of q and x.
88
Let f = -4/484929 + 628468204/26671095. Let t = -126/5 + f. What is the common denominator of 47 and t?
11
Let y(b) = -3*b + 20. Suppose -5*w = 5*a - 15, -4*a - a - 39 = -4*w. Let d(f) = -f**3 + 10. Calculate the lowest common multiple of y(w) and d(0).
10
Suppose 0*g = -g + 11. Suppose -r + 2 = 2*m - 7, 0 = -3*m. Suppose -5*f + r*f = 28. Calculate the least common multiple of f and g.
77
Let f be (-62)/4 + 11/(-22). Calculate the common denominator of 22/f - (-16)/32 and (91/66)/(2/(-6)).
88
What is the least common multiple of 10 and (11 + -2)/(-6*7/(-42))?
90
Let s(c) = -13*c + 1. Let d be s(1). Find the common denominator of 34/15 and 10 + d + (-59)/(-4).
60
Let w(s) be the second derivative of s**4/12 - s**3/3 - s**2/2 + 5*s. Let x be w(-2). Calculate the least common multiple of 78/21 - (-2)/x and 5.
20
Let d(b) = -b**2 + 7*b + 13. Let i be d(7). Let s(r) = -r + 19. Suppose -u - 2*u + 54 = 0. What is the smallest common multiple of s(i) and u?
18
Suppose -4*q = q - 75. Suppose -3*c + 15 = -39. Calculate the lowest common multiple of c and q.
90
Suppose 0 = 4*y + 3 - 35. Let z(w) = w**3 + 11*w**2 + 22*w + 5. What is the least common multiple of z(-4) and y?
232
Let i = 17 - 12. Suppose 0*w + i*w = b + 200, -w + 36 = -b. What is the lowest common multiple of 1 and w?
41
Let a(f) = -3*f + 37. Let w be a(0). Suppose -13 = -5*v + w. Suppose q - 40 = -4*q. What is the least common multiple of v and q?
40
Let x = 2993/16 | {
"pile_set_name": "DM Mathematics"
} |
t equal to 0.3?
True
Which is smaller: -48/203 or -146?
-146
Which is greater: -6/67 or -618?
-6/67
Is 0 equal to 84/714601?
False
Is 2354 bigger than 2384?
False
Is -418/13 < -9.7?
True
Does 299/11 = 0?
False
Is -1/4125 equal to 0?
False
Which is smaller: -40 or -11912/309?
-40
Is -238/6967 bigger than -1?
True
Is -0.03 at most as big as -1/373?
True
Are -29973 and 0 non-equal?
True
Which is smaller: -0.5 or 60029?
-0.5
Is 15751 <= -3?
False
Are -1 and 6/174589 nonequal?
True
Which is smaller: -478 or -871?
-871
Is 177900/13 greater than 13685?
False
Which is smaller: 12 or -2685?
-2685
Which is greater: 1/3 or -6/2987?
1/3
Are 1222 and 481 non-equal?
True
Is 218.0744 > 2/9?
True
Which is greater: 1 or 2/894115?
1
Which is smaller: 21034 or 21033?
21033
Which is greater: -426 or -113?
-113
Which is greater: -0.2 or 0.0282398?
0.0282398
Which is smaller: 9 or 382.3?
9
Is -5393 bigger than -5493?
True
Which is smaller: -570 or 5159?
-570
Which is bigger: -7/945880 or -1?
-7/945880
Do 28 and -4.5126 have the same value?
False
Is 101982 greater than or equal to -1?
True
Is -32 equal to -12818?
False
Which is greater: -3763722 or 1/4?
1/4
Are -3 and -64697 nonequal?
True
Is 14 at least 4163?
False
Is 105/15416 <= 1?
True
Which is bigger: -28326 or -8/7?
-8/7
Which is greater: -46927 or -46905?
-46905
Which is smaller: -3/5 or 16622/39?
-3/5
Which is smaller: -19 or -99?
-99
Which is smaller: -47/19 or -3/65?
-47/19
Which is smaller: 31 or 24200?
31
Which is smaller: 0.6 or 19213?
0.6
Is 52733 at most as big as 52754?
True
Does -4 = 27410.2?
False
Does -25/9 = 49.29?
False
Which is smaller: -18 or 266?
-18
Is -210967 at least -210966?
False
Which is greater: 352239 or 352238?
352239
Which is smaller: 4872 or 4871?
4871
Which is smaller: -323 or -3972?
-3972
Is 20400 >= 20396?
True
Which is smaller: 13/13172 or -1?
-1
Is -2 <= -1057/195?
False
Which is greater: 0.0963073 or 1?
1
Is -5932/3 != -2?
True
Do 635431 and 635429 have different values?
True
Are -222284 and -222285 unequal?
True
Which is smaller: -29936 or -29944?
-29944
Is 2 >= 156/283?
True
Which is bigger: -45937 or -45939?
-45937
Which is smaller: 40 or 2089/52?
40
Which is smaller: 8 or 769/110?
769/110
Is 144806/5 bigger than -4/11?
True
Which is greater: -69133 or -69128?
-69128
Which is smaller: 6133 or 6152?
6133
Which is bigger: -294 or -219?
-219
Which is bigger: -31/5 or -224?
-31/5
Which is bigger: 0.141 or 3.1?
3.1
Are -2 and -2134/1383 unequal?
True
Is 154.7 at least 0.75?
True
Which is smaller: -5222 or -26117/5?
-26117/5
Which is greater: -5235 or -5216?
-5216
Are 0 and 2/11397 non-equal?
True
Which is smaller: -0.1 or -1133087?
-1133087
Is -215355 at least -215355?
True
Which is smaller: -1 or -7/2775?
-1
Which is smaller: -1649240/3 or -549748?
-549748
Is -1 != -1/1010065?
True
Which is greater: -169/1321 or 1?
1
Which is bigger: -3 or -6706?
-3
Which is greater: -2/2146745 or -1?
-2/2146745
Is 0.04 at most -168328?
False
Which is smaller: 6513 or 71659/11?
6513
Which is smaller: 1 or -9/111467?
-9/111467
Does -2/1338651 = 0?
False
Is -88448 less than or equal to -88454?
False
Which is smaller: -13 or -134127?
-134127
Is -22650 at most as big as -22669?
False
Is -7/31893 less than or equal to -1?
False
Is -897 <= -0.039?
True
Is -66429 != -66415?
True
Is -164899 smaller than -164902?
False
Is -1025 >= -1060?
True
Which is smaller: 27903 or 27910?
27903
Is -68141 <= -68143?
False
Which is greater: -232/77371 or 1?
1
Is -1 at most -311/1337?
True
Do -6/11 and 2170/23 have the same value?
False
Which is bigger: 6379/21 or 304?
304
Is -31 equal to 1.531?
False
Is -415 not equal to -17042/41?
True
Which is bigger: 120 or -64339?
120
Does -96 = -179?
False
Is 19 != 0.0232?
True
Is 0 less than -1/15980?
False
Which is smaller: -561.16 or -33/4?
-561.16
Is 2/65473 smaller than 1?
True
Which is greater: -1/676200 or -1?
-1/676200
Are -69124 and 0 equal?
False
Which is smaller: 0 or 791/3988?
0
Which is smaller: 107 or 502?
107
Which is smaller: 162/11 or 16/9?
16/9
Is 0.23 greater than -107/336?
True
Is 37 less than 532?
True
Which is smaller: 185820 or 371641/2?
185820
Is -29870 < -29869?
True
Which is smaller: 5/646606 or 1?
5/646606
Is -21 greater than or equal to 9728?
False
Is 3546 smaller than 3547?
True
Which is greater: -103107/4 or -25777?
-103107/4
Is -6/98783 equal to -1?
False
Is 1 < -12/2887?
False
Which is smaller: -12 or 5750?
-12
Is 202367 less than 202365?
False
Is 480416 at most 480418?
True
Is -347 <= 251?
True
Which is bigger: -2 or -1198/851?
-1198/851
Which is bigger: 1048808 or 1048810?
1048810
Does 58947 = 58947?
True
Which is bigger: 32351 or 1/2?
32351
Which is smaller: -59457 or -59455?
-59457
Is 3/218027 smaller than -1?
False
Is 3/95 < 27?
True
Does 347/431 = 0?
False
Are 0 and -2/30593 unequal?
True
Which is greater: 5/35007 or 1?
1
Is -54/89965 less than 0?
True
Is 209491 < 209491?
False
Which is smaller: -15/8 or -67?
-67
Are -88.94 and 14 nonequal?
True
Is 4382 < 4377?
False
Which is bigger: 78799 or 78792?
78799
Is -4.3 equal to -3/3121?
False
Which is smaller: 3212 or 3207?
3207
Which is bigger: 511 or -400?
511
Which is smaller: -2/537 or -1/37?
-1/37
Which is smaller: 2401150 or 2401149?
2401149
Which is greater: -0.4 or 387765?
387765
Which is bigger: -7 or 130713?
130713
Is 90396 not equal to 90396?
False
Which is smaller: 195866 or 979329/5?
979329/5
Is -372879 > -372880?
True
Is 3624 at least -2/5?
True
Which is bigger: -228915 or -686743/3?
-686743/3
Is -1 greater than -39/7141?
False
Which is bigger: 42301 or 42307?
42307
Do 29 and 202 have the same value?
False
Are -594/13 and -47 equal?
False
Which is bigger: -375966 or -1879833/5?
-375966
Is -5293.8 not equal to 1.6?
True
Which is bigger: -5958 or -0.087?
-0.087
Which is smaller: -16.95 or -56?
-56
Are 1 and -467/4895 non-equal?
True
Which is smaller: -5/247582 or 1?
-5/247582
Which is greater: 1/5 or -3.81?
1/5
Is 33904 smaller than 33911?
True
Is -4/1178241 greater than or equal to 0?
False
Which is smaller: -3572688 or -3572689?
-3572689
Is -3/139237 bigger than -1?
True
Which is smaller: -177290 or 1/3?
-177290
Which is greater: -1 or -2/351939?
-2/351939
Are 11685 and 11685 unequal?
False
Is -1 bigger than -3/4365011?
False
Which is smaller: -94 or 146?
-94
Which is greater: 7178 or 35884/5?
7178
Which is smaller: 1 or 4/228813?
4/228813
Which is smaller: 3301 or 3?
3
Which is greater: 2/1769 or 1149?
1149
Is -74417/6 greater than -12402?
False
Does -21/13507 = 1/6?
False
Is -1 > 10566?
False
Which is greater: -11.55 or 3/95?
3/95
Which is smaller: 89056 or 267170/3?
89056
Is 20 > -29200?
True
Are -0.09 and 35319 equal?
False
Is 1 <= 59/41431?
False
Is 1 smaller than 7/10540?
False
Is -104/9 equal to -37/5?
False
Which is bigger: 4980 or 5518?
5518
Are -2665470 and -2665470 nonequal?
False
Is -3218/5 less than or equal to 86?
True
Is 64/547 greater than or equal to -20?
True
Which is bigger: -8821 or 1/4?
1/4
Is -7 at most -7546/1009?
False
Is 0.096 at most as big as 2/759?
False
Is 2 at least 196.531?
False
Is 0.059011 smaller than -1?
False
Which is bigger: 24259 or 97041/4?
97041/4
Which is greater: -479845/2 or -239924?
-479845/2
Which is smaller: -1 or -187/427?
-1
Which is bigger: 0.1 or 751296?
751296
Is -30 at least as big as -7574/251?
True
Which is bigger: 5/471519 or -1?
5/471519
Is -15592 at least -15461?
False
Which is smaller: 163283 or 3?
3
Which is greater: 1660 or 1568?
1660
Which is smaller: 9758 or 9753?
9753
Is 0 less than or equal to -24/9019?
False
Which is bigger: -2/72279 or -1?
-2/72279
Is -0.08 bigger than -39/253?
True
Which is greater: 2161 or 25915/12?
2161
Is -498/653 greater than or equal to -2?
True
Which is smaller: 26115 or 26126?
26115
Is 247276 greater than or equal to 247275?
True
Which is smaller: 5 or 44885?
5
Which is smaller: -72000 or -72002?
-72002
Is -1/10 >= -2266?
True
Is 3296 at most 16477/5?
False
Which is smaller: 8569 or 8595?
8569
Which is bigger: 31745 or 31751?
31751
Is -1 != -5/1247?
True
Which is greater: -16582 or -16557?
-16557
Which is smaller: 54 or -358?
-358
Which is smaller: -3536363 or -3536362?
-3536363
Is -151252 equal to -151251?
False
Is -14929/5 equal to -2987?
False
Is 1726 equal to 3/32?
False
Which is small | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {q: 3, o: 5, z: 2}. Give prob of picking 1 z and 1 o.
2/9
Two letters picked without replacement from ttuw. What is prob of picking 2 t?
1/6
Three letters picked without replacement from {o: 1, p: 1, w: 1, k: 2, z: 1, m: 1}. What is prob of picking 1 w, 1 p, and 1 m?
1/35
What is prob of picking 2 b and 1 y when three letters picked without replacement from {y: 6, s: 1, n: 6, b: 6, l: 1}?
3/38
Four letters picked without replacement from {x: 2, t: 2, v: 10}. Give prob of picking 1 t, 1 x, and 2 v.
180/1001
Calculate prob of picking 2 a when two letters picked without replacement from qiiixaiiixiqiqiaiax.
1/57
Four letters picked without replacement from xxxxdxxddd. What is prob of picking 2 d and 2 x?
3/7
Four letters picked without replacement from ptttbtttpritprtrtp. Give prob of picking 2 p, 1 t, and 1 i.
3/170
Four letters picked without replacement from {j: 9, o: 9}. What is prob of picking 3 o and 1 j?
21/85
Three letters picked without replacement from mmmwmmmw. Give prob of picking 1 m and 2 w.
3/28
Three letters picked without replacement from {e: 3, h: 2, u: 1, w: 1}. What is prob of picking 1 w, 1 u, and 1 e?
3/35
Calculate prob of picking 1 v and 2 c when three letters picked without replacement from ecceccceevv.
4/33
What is prob of picking 2 d when two letters picked without replacement from {d: 6, n: 4}?
1/3
What is prob of picking 1 o and 1 s when two letters picked without replacement from oso?
2/3
Two letters picked without replacement from {c: 2, k: 1, s: 1, x: 4}. Give prob of picking 1 k and 1 c.
1/14
Calculate prob of picking 1 y and 1 g when two letters picked without replacement from fyyffygjyjjfgagfjj.
4/51
Two letters picked without replacement from {g: 1, k: 1, j: 1}. Give prob of picking 1 j and 1 k.
1/3
Three letters picked without replacement from qxxqxxxx. What is prob of picking 2 x and 1 q?
15/28
Two letters picked without replacement from {c: 1, w: 2, l: 7}. Give prob of picking 2 l.
7/15
Calculate prob of picking 1 h, 1 s, and 2 c when four letters picked without replacement from {h: 1, p: 5, r: 4, c: 2, s: 2, e: 1}.
2/1365
Three letters picked without replacement from {t: 7, z: 2, x: 2, r: 6, q: 1}. What is prob of picking 1 r, 1 q, and 1 z?
1/68
What is prob of picking 3 i and 1 w when four letters picked without replacement from wiwwiwiwwiwiwiwwwiii?
308/1615
Four letters picked without replacement from llllllbbllblllbllbl. Give prob of picking 3 l and 1 b.
455/969
Calculate prob of picking 1 q, 1 j, and 1 b when three letters picked without replacement from {j: 4, y: 4, d: 1, q: 1, t: 1, b: 1}.
1/55
What is prob of picking 3 r when three letters picked without replacement from {p: 4, r: 14}?
91/204
Calculate prob of picking 1 z, 1 l, 1 t, and 1 a when four letters picked without replacement from {l: 1, z: 1, c: 1, t: 1, a: 1}.
1/5
Two letters picked without replacement from {h: 2, y: 2}. What is prob of picking 2 h?
1/6
Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 3, k: 6, v: 8}.
9/68
Two letters picked without replacement from jxjbxjjoxojbxomx. Give prob of picking 1 b and 1 j.
1/12
What is prob of picking 2 v and 1 s when three letters picked without replacement from savasvvissskvja?
6/91
What is prob of picking 3 h when three letters picked without replacement from {x: 1, c: 1, h: 4, k: 1, v: 1}?
1/14
Four letters picked without replacement from yjpybqiq. Give prob of picking 1 b, 1 p, 1 i, and 1 j.
1/70
Two letters picked without replacement from {c: 2, a: 1, p: 1, z: 2, k: 6, t: 6}. What is prob of picking 1 k and 1 c?
4/51
Two letters picked without replacement from xxxvxxxxxvx. What is prob of picking 1 v and 1 x?
18/55
Three letters picked without replacement from {y: 1, t: 3, r: 4, u: 2}. What is prob of picking 1 y, 1 t, and 1 u?
1/20
Three letters picked without replacement from usnuuluuulnuulluub. Give prob of picking 3 u.
5/34
Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {z: 1, k: 1, a: 2, w: 2, g: 7, d: 1}.
2/91
Four letters picked without replacement from oogsauspp. What is prob of picking 1 g, 1 p, and 2 o?
1/63
Two letters picked without replacement from {t: 2, s: 1, c: 1, u: 1}. Give prob of picking 1 t and 1 c.
1/5
Two letters picked without replacement from ppppeppppppppppeeee. Give prob of picking 2 p.
91/171
Two letters picked without replacement from {o: 5, z: 1, m: 1, s: 4}. Give prob of picking 2 m.
0
Four letters picked without replacement from qqqqqqq. Give prob of picking 4 q.
1
What is prob of picking 1 n and 1 s when two letters picked without replacement from {n: 7, s: 1}?
1/4
Three letters picked without replacement from {h: 7, i: 7}. Give prob of picking 3 h.
5/52
Calculate prob of picking 2 l when two letters picked without replacement from hhhjjlqhy.
0
Three letters picked without replacement from {d: 14, g: 5, l: 1}. What is prob of picking 2 g and 1 l?
1/114
Three letters picked without replacement from {d: 1, b: 1, j: 5, a: 3}. Give prob of picking 1 b, 1 d, and 1 a.
1/40
Two letters picked without replacement from {l: 14, o: 5}. What is prob of picking 2 l?
91/171
Four letters picked without replacement from {h: 4, d: 2, t: 1, w: 2, j: 1}. Give prob of picking 1 h, 1 j, and 2 d.
2/105
Two letters picked without replacement from wmttyes. What is prob of picking 1 t and 1 y?
2/21
Three letters picked without replacement from {k: 2, c: 2, y: 1, u: 1}. What is prob of picking 2 c and 1 k?
1/10
Four letters picked without replacement from {b: 6, l: 2}. Give prob of picking 4 b.
3/14
Three letters picked without replacement from {f: 1, v: 1, d: 1, x: 1, e: 1}. Give prob of picking 1 e, 1 v, and 1 f.
1/10
Two letters picked without replacement from ccczcczcc. What is prob of picking 1 c and 1 z?
7/18
Calculate prob of picking 3 m and 1 v when four letters picked without replacement from {m: 4, v: 2, n: 2}.
4/35
Two letters picked without replacement from wawaawuwdii. What is prob of picking 1 a and 1 d?
3/55
Four letters picked without replacement from issaasahaaasaashhiik. What is prob of picking 2 a and 2 h?
28/1615
Two letters picked without replacement from wqwfnwn. What is prob of picking 2 w?
1/7
Four letters picked without replacement from {w: 6, g: 6}. What is prob of picking 1 w and 3 g?
8/33
What is prob of picking 1 z, 1 h, and 2 u when four letters picked without replacement from hwjuuzuwuwjwwgzuu?
3/238
Four letters picked without replacement from {v: 4, j: 3, l: 6}. What is prob of picking 1 l, 1 j, and 2 v?
108/715
What is prob of picking 1 v and 1 r when two letters picked without replacement from rvkmkqqi?
1/28
Calculate prob of picking 4 b when four letters picked without replacement from bbfbbbbbf.
5/18
What is prob of picking 1 v, 1 d, and 1 j when three letters picked without replacement from vvebevvvvjdvveeevevj?
1/57
Three letters picked without replacement from {w: 6, z: 2, y: 4}. What is prob of picking 2 z and 1 w?
3/110
What is prob of picking 1 u and 1 d when two letters picked without replacement from {u: 2, a: 4, d: 1, r: 3, l: 1, n: 1}?
1/33
Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {c: 1, p: 3, h: 1, m: 1, u: 1}.
1/21
Calculate prob of picking 1 o, 1 f, 1 j, and 1 s when four letters picked without replacement from jsssjfsosssos.
32/715
What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 2, l: 3, d: 4, q: 1, t: 4}?
8/91
Two letters picked without replacement from hoeoeorotrogoogeg. What is prob of picking 2 o?
21/136
Calculate prob of picking 2 l when two letters picked without replacement from {a: 5, l: 9}.
36/91
Two letters picked without replacement from ofvonovvvvnonvbn. Give prob of picking 1 o and 1 f.
1/30
What is prob of picking 1 q and 1 v when two letters picked without replacement from uuvuquvquuvvvuv?
4/35
Four letters picked without replacement from yjyyjjzjj. Give prob of picking 2 j and 2 y.
5/21
What is prob of picking 3 i and 1 v when four letters picked without replacement from vvvvvviviivv?
1/55
Two letters picked without replacement from zzqzqz. Give prob of picking 1 z and 1 q.
8/15
Calculate prob of picking 1 c, 1 w, and 1 | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from wwwxwxxwwwwwwxwwww.
91/612
Four letters picked without replacement from {s: 1, p: 5, k: 1, b: 3, u: 5}. Give prob of sequence ppkb.
1/546
Calculate prob of sequence de when two letters picked without replacement from {d: 6, e: 6}.
3/11
Three letters picked without replacement from {v: 7}. Give prob of sequence vvv.
1
Calculate prob of sequence yy when two letters picked without replacement from {r: 2, y: 7, t: 6}.
1/5
Four letters picked without replacement from wmvmmvmywywmmmmm. What is prob of sequence yymm?
3/910
Three letters picked without replacement from qqqqnnqqqqqqnnqqqn. What is prob of sequence qqn?
65/408
What is prob of sequence tt when two letters picked without replacement from wbzztt?
1/15
What is prob of sequence ooy when three letters picked without replacement from ykooykkkoyokoofko?
21/680
What is prob of sequence yk when two letters picked without replacement from {k: 3, v: 4, y: 1, a: 1, b: 1, j: 2}?
1/44
Two letters picked without replacement from {e: 1, u: 4, z: 2, o: 1, t: 2, n: 7}. What is prob of sequence oz?
1/136
Calculate prob of sequence sbib when four letters picked without replacement from ibsbssssb.
5/504
What is prob of sequence ggr when three letters picked without replacement from rkrrkrrrgsgrr?
4/429
What is prob of sequence il when two letters picked without replacement from {l: 3, m: 1, i: 1}?
3/20
Three letters picked without replacement from ngmgnnmmbbmmbnngn. What is prob of sequence ngm?
3/136
Two letters picked without replacement from wnxkrkrrurkk. What is prob of sequence uk?
1/33
Three letters picked without replacement from bpkhwkypy. Give prob of sequence pby.
1/126
Two letters picked without replacement from uurqruqarrrrrur. Give prob of sequence ar.
4/105
Four letters picked without replacement from axmcmoooaammomxxwmw. What is prob of sequence oaoo?
1/1292
Four letters picked without replacement from dhvvvkknnnmv. Give prob of sequence hkvd.
1/1485
What is prob of sequence jw when two letters picked without replacement from {j: 4, w: 1, q: 2}?
2/21
Two letters picked without replacement from tqqjemo. Give prob of sequence mj.
1/42
Two letters picked without replacement from {q: 17, h: 3}. Give prob of sequence hq.
51/380
What is prob of sequence bo when two letters picked without replacement from obbobbobbbboo?
10/39
What is prob of sequence kn when two letters picked without replacement from {n: 2, k: 11, c: 6}?
11/171
What is prob of sequence rto when three letters picked without replacement from {t: 1, o: 3, p: 5, r: 1}?
1/240
Three letters picked without replacement from {n: 1, h: 3, e: 3, j: 2, i: 1}. Give prob of sequence ijh.
1/120
Three letters picked without replacement from {r: 13, t: 2, b: 3}. Give prob of sequence tbr.
13/816
What is prob of sequence yyyr when four letters picked without replacement from {r: 5, y: 9}?
15/143
Two letters picked without replacement from hwhukhqhhkwhhhq. Give prob of sequence wq.
2/105
Four letters picked without replacement from {k: 6, g: 2, l: 8, j: 2}. What is prob of sequence gkjl?
2/765
Two letters picked without replacement from {a: 3, u: 1}. What is prob of sequence au?
1/4
Four letters picked without replacement from {q: 2, c: 4, g: 1}. What is prob of sequence ccqq?
1/35
Calculate prob of sequence ihhw when four letters picked without replacement from {w: 2, h: 3, z: 5, i: 6, l: 2}.
1/1020
Four letters picked without replacement from nzpypnddznyzvn. What is prob of sequence dnyd?
2/3003
Four letters picked without replacement from {x: 6, t: 1, j: 8, f: 1}. Give prob of sequence jxjt.
1/130
Calculate prob of sequence aoo when three letters picked without replacement from {a: 2, o: 2, s: 4}.
1/84
What is prob of sequence phh when three letters picked without replacement from {h: 2, p: 8}?
1/45
What is prob of sequence fdyq when four letters picked without replacement from dyqfyqqqdyqq?
1/330
Calculate prob of sequence fz when two letters picked without replacement from {f: 6, z: 2}.
3/14
Three letters picked without replacement from hcmhuccca. Give prob of sequence mca.
1/126
Three letters picked without replacement from {c: 4, h: 1, p: 2, z: 6, b: 2}. Give prob of sequence zpb.
4/455
Two letters picked without replacement from {g: 1, t: 2, f: 2, z: 1}. What is prob of sequence gz?
1/30
Calculate prob of sequence nyw when three letters picked without replacement from {h: 6, y: 2, w: 3, j: 1, n: 2, r: 1}.
2/455
Calculate prob of sequence zos when three letters picked without replacement from {g: 4, z: 1, s: 4, l: 1, o: 3}.
1/143
Calculate prob of sequence rcrc when four letters picked without replacement from rcrcr.
1/10
Four letters picked without replacement from {j: 2, p: 1, u: 1, q: 1, g: 2, l: 2}. Give prob of sequence uqpg.
1/1512
Calculate prob of sequence yne when three letters picked without replacement from neneeeedecyeye.
4/273
What is prob of sequence ewaa when four letters picked without replacement from aewssagwsasmgswgswwm?
1/3876
Two letters picked without replacement from {u: 1, m: 2, c: 1, p: 2, z: 1, f: 1}. Give prob of sequence mz.
1/28
What is prob of sequence ifo when three letters picked without replacement from xfqfooxiogf?
1/110
Three letters picked without replacement from ifllglly. Give prob of sequence gyi.
1/336
Two letters picked without replacement from {f: 1, n: 2, q: 5, r: 3, t: 1}. What is prob of sequence nq?
5/66
Calculate prob of sequence dv when two letters picked without replacement from vvvvqvqqdvevdqqqidde.
7/95
Two letters picked without replacement from lltlnvlllnnnnltl. What is prob of sequence nt?
1/24
Three letters picked without replacement from {c: 1, b: 4, p: 1, n: 2, k: 1}. Give prob of sequence bbb.
1/21
What is prob of sequence uuz when three letters picked without replacement from {u: 16, z: 2}?
5/51
Calculate prob of sequence aaba when four letters picked without replacement from {a: 3, b: 1}.
1/4
What is prob of sequence nnn when three letters picked without replacement from {n: 14, k: 5}?
364/969
Four letters picked without replacement from jmuumremummvujj. What is prob of sequence uvuj?
1/910
Three letters picked without replacement from zzzfzzzzzzzzzzzzzzz. Give prob of sequence fzz.
1/19
Two letters picked without replacement from wwvwanawwwnonavn. What is prob of sequence ao?
1/80
Four letters picked without replacement from oscscmscousmcommsc. What is prob of sequence moum?
1/2040
Two letters picked without replacement from cgscsccghsccgcccchc. Give prob of sequence hh.
1/171
Three letters picked without replacement from qqqzbqbibzqqqqbqq. What is prob of sequence iii?
0
Two letters picked without replacement from lqqqlqllllllll. Give prob of sequence lq.
20/91
Three letters picked without replacement from oonooooonnoononoono. Give prob of sequence onn.
65/969
Calculate prob of sequence tyhy when four letters picked without replacement from {t: 5, h: 5, y: 6, j: 1, q: 3}.
25/3876
Four letters picked without replacement from {t: 4, s: 7, h: 5}. What is prob of sequence thth?
1/182
Calculate prob of sequence rrr when three letters picked without replacement from {m: 3, r: 3}.
1/20
Calculate prob of sequence wz when two letters picked without replacement from wwz.
1/3
Three letters picked without replacement from {k: 2, f: 1, s: 1, y: 1, j: 2, l: 1}. What is prob of sequence fjy?
1/168
Two letters picked without replacement from jejqqjjejjqjjqq. What is prob of sequence qj?
4/21
What is prob of sequence wwo when three letters picked without replacement from {w: 12, o: 3}?
66/455
Calculate prob of sequence sp when two letters picked without replacement from {o: 5, s: 5, b: 5, p: 2}.
5/136
Calculate prob of sequence vwvv when four letters picked without replacement from {w: 1, v: 12}.
1/13
What is prob of sequence yrrp when four letters picked without replacement from jpryr?
1/60
What is prob of sequence vv when two letters picked without replacement from ppvpvvtvppvvpvvpvvvp?
11/38
Two letters picked without replacement from {q: 7, j: 6}. Give prob of sequence jj.
5/26
Four letters picked without replacement from {u: 4, t: 5, o: 1, k: 1, c: 1}. What is prob of sequence tutc?
2/297
Two letters picked without replacement from tehuszhe. What is prob of sequ | {
"pile_set_name": "DM Mathematics"
} |
2
Evaluate (405/(-150))/((-24)/4)*4/3.
3/5
1*2*19/((-4)/14*14)
-19/2
12/((-252)/7)*15
-5
Calculate 54/12*(-8736)/(-1404).
28
What is (-7)/(15/9*252/35)*3?
-7/4
Calculate 1*12*(1190/(-68))/(-35).
6
What is 6/(-26)*(24/90)/((-34)/85)?
2/13
What is (-2)/(-12)*-234*(-60)/180?
13
What is the value of (23/(-805))/((-1)/(-10)*-1)?
2/7
What is the value of ((-30)/(-96))/((-61)/(-1952))?
10
Evaluate (4/12)/((6/135)/(456/(-190))).
-18
Calculate (((-12)/8)/(18/(-4)))/((-624)/144).
-1/13
What is (29/((-696)/96))/((-10)/1)?
2/5
Calculate (-40)/22*3014/548.
-10
Calculate (-36)/((-6)/36*9*-1).
-24
Calculate -7*(-1)/(-36)*12.
-7/3
What is the value of ((10440/(-140))/(-29))/(9/(-21))?
-6
((-36)/(-15))/6*(-33)/(-22)
3/5
Evaluate -1*(-2)/(-5)*((-1920)/(-8))/8.
-12
What is the value of (-8)/80*90/(-27)?
1/3
Calculate (12/30)/((-2688)/240).
-1/28
What is the value of ((-84)/(-1386))/(2/(-12))?
-4/11
What is the value of 9/702*-13*3/1?
-1/2
What is 27/810*-114*-1*5?
19
Evaluate ((-158)/(63200/2640))/(2/(-10)).
33
Evaluate (12*21/(-420))/(1/(-120)*-3).
-24
(-18)/4*21*(-14)/441
3
What is the value of ((-80)/(-15))/2*57/76?
2
Calculate (3/(-8))/((-36)/(-72)).
-3/4
Evaluate 1755/(-12675)*(-15)/(-9).
-3/13
Calculate (-7)/((-1715)/(-70))*(-49)/(-1).
-14
((-8)/(-40))/((-55)/165)
-3/5
What is (1/3)/(((-423)/(-351))/47)*1?
13
(2/(-22))/(37/(-407))*1*-3
-3
Calculate ((-2709)/(-39732))/((-6)/(-16)).
2/11
Evaluate 75/(-6)*(-23)/(-230).
-5/4
(-1*2/(-28))/(220/6930)
9/4
Calculate 110/15*(-750)/125*(-6)/8.
33
Calculate 156/2*((-289)/(-17))/(-34).
-39
What is the value of (-20)/(-3)*(10863/(-255))/71?
-4
(580/(-522))/((-135)/(-972))
-8
What is 4/(-4)*348/580?
-3/5
Evaluate 21*(-12)/(-432)*6*-2.
-7
What is (((-11780)/434)/(-95))/((-2)/168)?
-24
Evaluate ((-2080)/(-12))/(-8)*138/(-115).
26
What is ((-1)/((-5)/(-4)))/((-2562)/4575)?
10/7
(-25)/((8*3/12)/2)
-25
What is (-2)/21*(-301)/430?
1/15
What is ((-540)/(-27))/(-260)*169?
-13
What is the value of (435/1044)/((-50)/(-12))?
1/10
7/21*(-30)/280*-8
2/7
Evaluate 7/22*(-2736)/9576.
-1/11
Evaluate (-15)/(-18)*(-369)/4305.
-1/14
What is (2*1/6)/(2*1/(-30))?
-5
What is the value of ((-9)/((-162)/16))/((6/(-54))/(-1))?
8
What is ((-104)/32)/(2834/436)?
-1/2
What is the value of (-4)/(((-56)/9)/14)?
9
(27/36*(-4)/6)/(31/(-31))
1/2
What is 1*2/((-50)/75)?
-3
Evaluate (28/(-6))/((-4340)/2232).
12/5
What is (-3)/(3/10)*2655/1062?
-25
Evaluate ((-22)/(-4))/((-7821)/(-39816)).
28
Calculate (-87)/(((-4)/6)/((-720)/3240)).
-29
Evaluate (-2*(-15)/210)/((-8)/(-784)).
14
Evaluate 18*(-10*6/360)/(1/2).
-6
(-20)/6*4/(-5)*(-231)/(-154)
4
What is (3/(-9))/(9/(-18))*(-6)/(-68)?
1/17
What is the value of (-30)/((-22)/484*-33)?
-20
Calculate (-15)/(-4)*(-28)/840*6.
-3/4
What is the value of ((-11)/(-1))/(((-41)/(-287))/(3/(-21)))?
-11
Evaluate (-90)/4*(-364)/273.
30
What is (15/(-168))/(5/(-12))?
3/14
What is (272/1020)/(2/(-255))?
-34
(((-1)/2*44)/10)/(2/(-10))
11
What is (7/(-21)*(-52)/(-143))/(8/(-6))?
1/11
Calculate ((-12)/4)/(-1*40/8).
3/5
What is the value of -18*10/(-600)*5/9?
1/6
Calculate ((-1)/63)/(107/(-642)).
2/21
Evaluate 15/(1*65/39).
9
Evaluate ((-220)/(-198))/((-29)/(-29)).
10/9
5/(-30)*4*9
-6
What is the value of (-1)/((4/20*(-2465)/(-34))/1)?
-2/29
What is the value of (-1)/(3/(-1))*3168/(-88)?
-12
Calculate (((-99)/(-44))/1)/((-6)/4).
-3/2
What is the value of ((-39)/(-52))/((3/14)/((-2016)/(-392)))?
18
Evaluate (-180)/(-1275)*65/(-52).
-3/17
What is the value of 3/(-9)*(-7980)/(-380)?
-7
Calculate (((-5)/(-28))/((-18)/144))/((-3)/21).
10
Calculate ((-12)/(-11))/((-2236)/559).
-3/11
Calculate 495/(-11)*4/12*(-17)/(-17).
-15
Evaluate (582/(-6402))/(-2*4/374).
17/4
What is (-741)/(-57)*(-2)/(-2)*1?
13
(-12)/(-1)*2/(-1605)*75/(-60)
2/107
Calculate (60/(-14))/(798/1862).
-10
What is (162/(-21))/((-8)/(-1568)*-42)?
36
What is 24/(-30)*90/((-45)/(-15))?
-24
Calculate (1348/(-5055))/(2/(-40)).
16/3
Calculate 350/70*(-3)/(-45)*-93.
-31
Evaluate 28/350*1705/(-62).
-11/5
9*2/(-66)*(-1)/(6/(-4))
-2/11
-1*7/(-658)*14/(-7)*2
-2/47
Evaluate ((-14)/((-308)/363))/(99/(-132)).
-22
What is -161*1*((-8)/16)/((-7)/(-2))?
23
What is (-3)/(-78)*2*(-279)/(-279)?
1/13
(1/(-4))/(6/(-20)*(-445)/(-4806))
9
(-22)/(17*50/170)
-22/5
What is the value of ((-20)/56*-2)/(((-35)/10)/(-7))?
10/7
Calculate (3/(-4))/((-3)/1*(-13)/(-884)).
17
Evaluate 4*((-6)/27)/(18/81*2).
-2
Calculate 9/2*(-2)/9*1620/(-108).
15
(-250)/720*-12*(-3)/20*2
-5/4
What is 460/(-10465)*78/36?
-2/21
What is the value of (-1)/(-3)*(-112)/24*(-12)/16?
7/6
6/27*(-162)/252
-1/7
Evaluate (12/(-4))/(((-81)/(-18))/(42/1)).
-28
Evaluate (-24)/(-196)*224/(-64).
-3/7
What is (-35)/(-20)*(-9)/((-27)/(-4))?
-7/3
Evaluate (2/(-19))/((-5)/95)*1/(-3).
-2/3
Evaluate (16/(-58))/(2082/(-10063)).
4/3
What is ((-231)/35)/((-9)/15)?
11
(((-68)/102)/(4*1))/((-1)/9)
3/2
((-9)/21)/(((-414)/168)/69)
12
Calculate (-4)/8*1/3.
-1/6
Calculate ((-448)/6664*(-3)/4)/((-6)/(-14)).
2/17
What is 58/(-232)*(-8)/2?
1
What is the value of ((-1)/(-5))/((-30)/(-660)*-11)?
-2/5
Evaluate ((-4)/(-26))/((-110)/(-12155)).
17
What is the value of ((-90)/(-20))/((-225)/150)?
-3
What is the value of -3*48/252*7?
-4
Calculate ((-2)/3)/((-3)/(-18)).
-4
What is the value of 6/(-8)*(-12)/9*10/(-10)?
-1
What is the value of ((-706)/1059)/((2/(-9))/(-2))?
-6
Calculate (681/(-227))/(27/60*3/9).
-20
Calculate 1/(3*((-24)/60)/(24/20)).
-1
What is the value of ((-130)/(-120)*-3)/((99/72)/(-11))?
26
Evaluate (6*(-1)/4)/(12*1).
-1/8
What is the value of (-2)/22*66/(-33)?
2/11
Calculate ((-300)/(-2250))/(2/90).
6
What is ((-4)/(-2)*21/14)/((-108)/(-30))?
5/6
-6*2*((-5)/(15/(-6)))/6
-4
What is (-2)/(-32)*12*3/18*-2?
-1/4
Evaluate (-1)/(6/(-50)*(-20)/24).
-10
What is (-39)/13*(-2)/(-2)*(-1)/(-3)?
-1
Calculate ((-8937)/7944)/(3/16).
-6
Evaluate (-11*26/(-26))/((-1)/1).
-11
Evaluate ((-12)/((-3)/3))/(96/(-128)).
-16
((-628)/(-1099))/((-4)/(-70))
10
Calculate ((-15)/36)/(-5)*(-3384)/(-564).
1/2
What is the value of ((-1)/3)/((-308)/23100)?
25
(71/355)/(19/(-3135))
-33
What is the value of ((2/204)/(-1))/((-6)/(-144)*-8)?
1/34
What is the value of (8/126*12/8)/((-13)/156)?
-8/7
Evaluate (-2)/(((-19)/(114/(-9)))/(9/132)).
-1/11
What is the value of (27/228)/((-162)/(-513))?
3/8
Evaluate 11*-1*6/(-8)*(-452)/(-339).
11
What is (406/174*(-6)/77)/((-1)/(-2))?
-4/11
What is (-16)/10*4825/(-772)?
10
Evaluate 105/(-70)*6/(-21).
3/7
Calculate ((-217)/(-62))/(42/180).
15
Evaluate 24/(-10)*1075/(-172)*1.
15
What is (12/(-1))/(9*(-132)/891)?
9
What is the value of ((-86)/387*(-18)/8)/((-1)/13)?
-13/2
Calculate (((-18)/(-4))/3)/((-136)/2720).
-30
Calculate ((-2)/(-48))/(1920/5120).
1/9
Evaluate (-30)/(-8)*(-352)/(-2640)*8*2.
8
Calculate ((-10)/18)/((-69)/2484).
20
What is the value of (5/10)/((-1)/(-7))*240/140?
6
((945/(-1764))/(54/16))/((-5)/45)
10/7
-25*(-28)/2310*-2*5/(-50)
2/33
Evaluate (((-40704)/(-832))/53)/((-2)/((-52)/2)).
12
What is 1*(2/5)/((-24)/(-60))?
1
What is the value of ((-96)/468)/((-2)/13)*(-45)/4?
-15
Calculate -30*-12*(-2)/60.
-12
What is the value of (10/(-200))/(14/(-35))?
1/8
Calculate (-192)/(-60)*(-10)/(-12)*-3*-1.
8
What is the value of (-6)/(12*(-14)/(-252))?
-9
What is the value of (-432)/(-64)*44/33?
9
What is the value of 6/(-9)*(-30)/(-270)*-3?
2/9
Evaluate 32/(72/(-9))*(-3)/(-24)*36.
-18
Evaluate (44/(-24))/((((-5)/(-2))/(-5))/(-1)).
-11/3
Calculate ((8/100)/(54/(-45)))/(1/(-51)).
17/5
What is 3680/(-368)*-1*(-2)/(1*-2)?
10
Calculate (8/(-96))/((-341)/(-248)).
-2/33
Evaluate ((1/(-15))/((-720)/2700))/(1/(-5)).
-5/4
What is 2/(22/(2002/13))?
14
Evaluate (-19)/14*67/((-67)/14).
19
What is the value of -7*1*(-10)/110*-11?
-7
What is the value of 11/(99/18)*(-5)/(40/32)?
-8
Evaluate ((-45)/18)/((-7)/14).
5
Evaluate ((-8)/2)/(-12)*5/15*3.
1/3
What is the value of 10/(-2)*(2/(-4))/(10/12)?
3
What is the value of ((-28)/6)/(1162/(-747))?
3
(-1)/4*104/(-39)
2/3
28*(39/(-13))/12
-7
Evaluate ((-8)/30)/((-8)/(-20))*(-1152)/192.
4
Evaluate 12/(-9)*8085/308.
-35
Calculate (1*4/2)/(14*(-9)/(-252)).
4
((-2)/(-42))/(((-670)/60)/67)
-2/7
Evaluate (-6)/(-16)*-2*15288/(-546).
21
What is (9*5/1650*11)/(72/20)?
1/12
Evaluate 1*6/18*276/(-3634).
-2/79
What is the value of 96*(-18)/135*70/28?
-32
36360/(-808)*(-1)/(-3)
-15
Calculate 1*(-10)/(50/(-15))*(-20)/(- | {
"pile_set_name": "DM Mathematics"
} |
sequence qhh?
1/858
What is prob of sequence fec when three letters picked without replacement from xqbccqbxfefb?
1/330
Two letters picked without replacement from wggggggwwwggwwwgwggw. Give prob of sequence ww.
18/95
Calculate prob of sequence aiq when three letters picked without replacement from {q: 1, a: 6, i: 1, t: 4, j: 4}.
1/560
Calculate prob of sequence ji when two letters picked without replacement from {z: 2, y: 1, m: 1, j: 2, k: 1, i: 1}.
1/28
What is prob of sequence gqq when three letters picked without replacement from {q: 4, g: 14}?
7/204
What is prob of sequence po when two letters picked without replacement from nonlldlnndlldddlpdlo?
1/190
Two letters picked without replacement from tfttfffpffwpft. Give prob of sequence pw.
1/91
Calculate prob of sequence ll when two letters picked without replacement from llftccfccflctfckcf.
1/51
Calculate prob of sequence plv when three letters picked without replacement from {y: 2, b: 2, v: 1, l: 4, p: 3}.
1/110
Calculate prob of sequence yy when two letters picked without replacement from {y: 7, l: 5}.
7/22
What is prob of sequence ktu when three letters picked without replacement from utktkkukukukk?
14/429
What is prob of sequence zp when two letters picked without replacement from {n: 1, e: 2, p: 2, u: 1, z: 2}?
1/14
What is prob of sequence zffk when four letters picked without replacement from {f: 2, z: 2, k: 1}?
1/30
What is prob of sequence ffct when four letters picked without replacement from {t: 1, c: 1, f: 13}?
1/210
Four letters picked without replacement from {u: 2, l: 8, f: 4}. What is prob of sequence fuff?
2/1001
What is prob of sequence clx when three letters picked without replacement from {x: 5, l: 3, c: 1}?
5/168
Three letters picked without replacement from {z: 10, m: 4}. Give prob of sequence mmz.
5/91
What is prob of sequence ek when two letters picked without replacement from {v: 1, a: 3, e: 7, k: 2, u: 5}?
7/153
Four letters picked without replacement from lllllllll. Give prob of sequence llll.
1
What is prob of sequence ttt when three letters picked without replacement from tattta?
1/5
Two letters picked without replacement from {j: 2, e: 5}. What is prob of sequence ej?
5/21
Two letters picked without replacement from {m: 1, d: 1, a: 2, x: 2}. Give prob of sequence ax.
2/15
Two letters picked without replacement from {h: 1, t: 6, k: 3, r: 4, f: 2}. Give prob of sequence kk.
1/40
Two letters picked without replacement from sspp. Give prob of sequence ps.
1/3
Four letters picked without replacement from {w: 2, a: 2, d: 5, v: 8}. What is prob of sequence wwda?
1/2856
What is prob of sequence bxb when three letters picked without replacement from {x: 1, b: 14, q: 5}?
91/3420
What is prob of sequence fvav when four letters picked without replacement from {v: 8, n: 1, h: 4, a: 2, f: 1}?
1/390
Calculate prob of sequence zf when two letters picked without replacement from sflzlfsslslsllff.
1/60
Two letters picked without replacement from {g: 3, y: 1, j: 1, n: 1, l: 2, c: 4}. Give prob of sequence yn.
1/132
Three letters picked without replacement from kkkkkkvkkkkkkkkvvk. What is prob of sequence kkk?
455/816
Four letters picked without replacement from oedosdooo. What is prob of sequence does?
5/1512
Calculate prob of sequence ssss when four letters picked without replacement from ssssssssss.
1
What is prob of sequence zhlr when four letters picked without replacement from xxllzhzzxxxlxzlxrxxx?
2/14535
Two letters picked without replacement from spapmat. Give prob of sequence tp.
1/21
What is prob of sequence xjx when three letters picked without replacement from {j: 4, x: 2, n: 6, g: 1}?
2/429
What is prob of sequence ap when two letters picked without replacement from {c: 1, g: 1, x: 1, a: 1, f: 2, p: 1}?
1/42
Calculate prob of sequence alg when three letters picked without replacement from gagbl.
1/30
Two letters picked without replacement from {c: 3, p: 11}. What is prob of sequence cp?
33/182
What is prob of sequence qq when two letters picked without replacement from {p: 1, y: 6, q: 5, c: 1, n: 3, t: 1}?
5/68
Two letters picked without replacement from {d: 3, a: 4}. Give prob of sequence ad.
2/7
Four letters picked without replacement from {n: 1, v: 2, i: 5, h: 1, r: 4, q: 2}. What is prob of sequence hqiv?
1/1638
Calculate prob of sequence wbxf when four letters picked without replacement from {b: 2, x: 2, d: 3, u: 1, w: 1, f: 3}.
1/990
What is prob of sequence gggk when four letters picked without replacement from bgbkgbbggbbbbbkbgbg?
5/1938
What is prob of sequence all when three letters picked without replacement from alllalalal?
1/6
Three letters picked without replacement from {a: 2, t: 2, j: 1, i: 1, n: 1, g: 1}. Give prob of sequence jag.
1/168
Calculate prob of sequence uut when three letters picked without replacement from {t: 2, r: 5, u: 3}.
1/60
Three letters picked without replacement from ollnolononn. What is prob of sequence lol?
4/165
Calculate prob of sequence ioo when three letters picked without replacement from {i: 1, o: 2, m: 2}.
1/30
Calculate prob of sequence mdqe when four letters picked without replacement from qmqde.
1/60
Two letters picked without replacement from {k: 3, p: 1, l: 4}. Give prob of sequence kl.
3/14
What is prob of sequence tu when two letters picked without replacement from {s: 1, u: 1, t: 1, p: 1, y: 1}?
1/20
Three letters picked without replacement from fiifiifbbbfgbgfffbf. What is prob of sequence fib?
80/2907
Two letters picked without replacement from {z: 1, n: 3, p: 1, r: 1, v: 6, b: 1}. Give prob of sequence zb.
1/156
Three letters picked without replacement from {y: 9, g: 7}. Give prob of sequence ygg.
9/80
Three letters picked without replacement from mpfrhrhhrhfhrqh. What is prob of sequence qhm?
1/455
What is prob of sequence nnll when four letters picked without replacement from {l: 12, v: 2, n: 5}?
55/1938
What is prob of sequence gvg when three letters picked without replacement from {w: 3, g: 6, i: 5, p: 2, v: 1, b: 3}?
1/228
Calculate prob of sequence sgsi when four letters picked without replacement from {i: 1, s: 3, y: 1, g: 1, z: 1}.
1/140
Two letters picked without replacement from {z: 3, f: 2, e: 1, o: 5, x: 7}. Give prob of sequence fx.
7/153
Four letters picked without replacement from {g: 1, p: 7}. Give prob of sequence pgpp.
1/8
Four letters picked without replacement from {o: 4, q: 2, e: 2}. Give prob of sequence qoee.
1/105
Calculate prob of sequence zdz when three letters picked without replacement from zdkzzdddduzdzkuddd.
5/136
Two letters picked without replacement from ygq. Give prob of sequence gq.
1/6
Two letters picked without replacement from {k: 6, h: 4}. Give prob of sequence hk.
4/15
Two letters picked without replacement from {p: 2, x: 6, i: 7}. What is prob of sequence xp?
2/35
Calculate prob of sequence ee when two letters picked without replacement from jejejjjjjjjjjjjjjj.
1/153
Calculate prob of sequence qimy when four letters picked without replacement from aypmqyi.
1/420
What is prob of sequence gtm when three letters picked without replacement from tqqjbbmg?
1/336
What is prob of sequence lkll when four letters picked without replacement from {l: 3, k: 5}?
1/56
Three letters picked without replacement from {m: 9, l: 2}. What is prob of sequence llm?
1/55
Calculate prob of sequence llll when four letters picked without replacement from kkkklkkkkkklkkllklkk.
1/969
Four letters picked without replacement from iwiwtt. Give prob of sequence itwt.
1/45
Three letters picked without replacement from {i: 10, h: 4}. Give prob of sequence hii.
15/91
Two letters picked without replacement from {v: 12, a: 1}. Give prob of sequence av.
1/13
Two letters picked without replacement from jklzeeeez. What is prob of sequence zk?
1/36
Two letters picked without replacement from {l: 1, m: 1, h: 2, y: 1}. What is prob of sequence hm?
1/10
What is prob of sequence ga when two letters picked without replacement from pgddpda?
1/42
Calculate prob of sequence all when three letters picked without replacement from {j: 4, m: 3, l: 4, a: 3}.
3/182
What is prob of sequence wpwp when four letters picked without replacement from {p: 6, w: 12}?
11/204
What is prob of sequence ww when two letters picked with | {
"pile_set_name": "DM Mathematics"
} |
9 and 98129087.6142.
98129083.7142
Subtract -4.73 from -12713.2867.
-12708.5567
-23.4+-497.1452167
-520.5452167
Add 4.39756956 and 0.06459.
4.46215956
Work out 235.368645 - -464.3.
699.668645
Subtract 25.67215883 from 43.
17.32784117
-0.069405+-56186328
-56186328.069405
6982.2+6262.80633
13245.00633
What is 19662112936 less than 0.7?
-19662112935.3
What is the distance between 41.6802 and 0.125616899?
41.554583101
Calculate -271 + 15879788660.
15879788389
Subtract -4.8 from 2267415253247.
2267415253251.8
What is 1122.815 - 762689139?
-762688016.185
-5.4 - 5.72440416
-11.12440416
Add together -20005566 and 18839.409.
-19986726.591
What is -48566303 - -238891?
-48327412
What is 7144851647754 less than 141?
-7144851647613
43748353659018 - 22
43748353658996
What is 1.2 - 120098.48524?
-120097.28524
Calculate 0 - 56111.4669974.
-56111.4669974
What is -0.00795 - 2546587576?
-2546587576.00795
What is 20431259 plus 15.233?
20431274.233
-125.27067145 + 0.06621
-125.20446145
Calculate -637048706531 - 12.
-637048706543
Calculate -14558149 - 3160375.
-17718524
Sum 33.699490566 and 0.02.
33.719490566
Calculate 59.322 - 21320132.
-21320072.678
What is -0.11 + 5096084208207?
5096084208206.89
What is -1 - -2108823729.439?
2108823728.439
Calculate -804019491 + 0.01.
-804019490.99
Work out -47607.1183269357 + 0.5.
-47606.6183269357
Add together 1.88947 and 0.92806989.
2.81753989
673+-24739644748.1
-24739644075.1
What is 0.935622711154 take away 1?
-0.064377288846
Work out -636.571110269977 - 0.1.
-636.671110269977
What is the distance between 89683.739138 and -141?
89824.739138
What is -338633 - 55972541?
-56311174
Add -98939578973 and -0.1202.
-98939578973.1202
Sum -0.06 and -151224.7903.
-151224.8503
Add together -1 and 319.23513347.
318.23513347
Put together 16507216050197 and 6.
16507216050203
11051390668 + 0.027
11051390668.027
659.316 + -47403685
-47403025.684
Subtract -7.5921 from -948159430.
-948159422.4079
Calculate -54777 - -13976.1609.
-40800.8391
What is -84 take away -0.0120191939837?
-83.9879808060163
-181.27 - -8.737643
-172.532357
Work out -5 + 3.682795025596.
-1.317204974404
Add 6 and -43678758219262.
-43678758219256
What is the difference between 2387.56731975 and -3?
2390.56731975
What is -491037925 - -148.75?
-491037776.25
-846182274520+-18
-846182274538
Sum -0.95 and 327110519921.
327110519920.05
-12+6516662658
6516662646
Calculate -1423953255 - 308838.
-1424262093
What is -6.004652 minus -952340?
952333.995348
What is -1076323 plus -0.305909?
-1076323.305909
What is the distance between -487 and 544.337831?
1031.337831
What is 1493469 - 0.065183164?
1493468.934816836
Calculate -89675532.01 + 0.85.
-89675531.16
What is -218 take away 0.0245093472?
-218.0245093472
-267556087.6+-9.2
-267556096.8
Work out -194136 - -1.85324418.
-194134.14675582
Subtract -0.11535963605 from -1.78.
-1.66464036395
Add -0.0126 and -0.014302072.
-0.026902072
What is 10576.0181 take away 4657762?
-4647185.9819
Subtract 11.4 from 18718919.12.
18718907.72
-2822.8 - 3273.12
-6095.92
Calculate -8 - -40435198841.
40435198833
Total of 97774279.821 and -310.8.
97773969.021
407077727585598+-0.2
407077727585597.8
Work out -31.85 + 7908957.
7908925.15
What is 11510566.5 take away 17111?
11493455.5
What is -0.0184223323 plus -5679?
-5679.0184223323
What is 5 take away -268719264038148?
268719264038153
Subtract -0.9309254 from -90275.
-90274.0690746
What is the difference between 1.642 and 5015.042839?
5013.400839
0.2+-53032696729
-53032696728.8
What is 5076005698540 minus 0.1?
5076005698539.9
-6892482012+-227
-6892482239
0.0442 + -256828725996
-256828725995.9558
What is 232280989791 take away -4.9?
232280989795.9
What is -1895602597 minus 1506?
-1895604103
Add together 31 and -1335479275.
-1335479244
122 - 125.4011902
-3.4011902
-1249923493660+56
-1249923493604
Put together -7393087.8322823 and 0.
-7393087.8322823
What is the difference between 32521202834 and -7.1?
32521202841.1
73916333066 + -267
73916332799
Calculate -1.3 + -8715063577.
-8715063578.3
Add together 5 and -1148814744853.
-1148814744848
What is 0.3 minus 149818740.7549?
-149818740.4549
Calculate -314.87 + -0.387521.
-315.257521
Put together -579095155650141 and 3.
-579095155650138
Work out 222877017 - -1474226.
224351243
What is 0.088511461967192 take away -4?
4.088511461967192
What is -2658.99518 take away -3.686897?
-2655.308283
What is -92.3 + 6951.82416?
6859.52416
What is the distance between -18 and 444053231104?
444053231122
What is the distance between -361055492027 and -5.2?
361055492021.8
What is -2.6 plus 11930445095?
11930445092.4
-570.7+17154903094
17154902523.3
Calculate 30 + -1362339753816.
-1362339753786
What is -0.3 less than 1149310.551884?
1149310.851884
Work out -5.49 - -26.2702603.
20.7802603
What is 86513.4777 less than 96.7?
-86416.7777
Add -396.61515 and 0.068207.
-396.546943
What is the distance between 0.3772452106 and -2875?
2875.3772452106
Work out -429 - -4425604394.
4425603965
-121 + 16.4987846
-104.5012154
Work out 0.10097 - -76353831.
76353831.10097
Calculate 44.1458241777 - -191.
235.1458241777
What is -386.197 plus 53882.5981?
53496.4011
688093218298+-0.1
688093218297.9
-175390475640 + 0.027
-175390475639.973
What is 102 + 325023864262?
325023864364
What is -4 plus 2092377018.5216?
2092377014.5216
What is 13849 minus 19044089?
-19030240
What is 13 less than 63.30202173214?
50.30202173214
-2543517043+-19326
-2543536369
Calculate -2249056878.8 - -7.58.
-2249056871.22
Sum 5943979 and 53009.
5996988
Work out 353401004.65 + 0.06.
353401004.71
What is 286.11 take away -2551712432?
2551712718.11
6515255470670 + -2
6515255470668
2.5342+-280.58856
-278.05436
Work out 1092.64 + 13.6062428.
1106.2462428
What is -0.5 less than 92449443714?
92449443714.5
Sum -69624 and -56.75996.
-69680.75996
What is 3 - 720634981265?
-720634981262
What is -0.2 minus -0.06074185188259?
-0.13925814811741
What is -4.9 take away 501469100?
-501469104.9
What is 5139175632671 less than 0.4?
-5139175632670.6
What is the distance between -0.04281099 and 175987?
175987.04281099
What is 127737.745877 less than -5?
-127742.745877
Work out -572818 - -753.636.
-572064.364
What is -0.047346405298 - -2?
1.952653594702
What is the difference between 230.8 and 280.82508?
50.02508
0.0581688733 + -7312
-7311.9418311267
Subtract 0.201 from 129309854737.
129309854736.799
What is 365771577.121 take away 2?
365771575.121
Add -0.2191 and -42421168505.
-42421168505.2191
Subtract 3 from 36653008809.
36653008806
Total of 1761450921.671 and -0.04.
1761450921.631
What is -12932 minus 1340388023.38?
-1340400955.38
Subtract 2262428159644 from 0.4.
-2262428159643.6
0.5 + 118459569881.88
118459569882.38
What is -780438165022 minus 14?
-780438165036
Work out 380192548321 + -0.18.
380192548320.82
60021.45 - -7015527
7075548.45
Add 31186 and -602995.7.
-571809.7
Work out -1962364671 + -2.2307.
-1962364673.2307
Work out -5 - 14453239012248.
-14453239012253
-1864748485+-156
-1864748641
Calculate 106447 + -6501105.
-6394658
What is 42.27913879 less than 21085?
21042.72086121
What is -0.01 take away -963418658165?
963418658164.99
Total of 2452262439 and -0.061934.
2452262438.938066
Sum -8481.978635773 and 25.
-8456.978635773
Add together 85753490485 and -9.1.
85753490475.9
-1065.897 + -0.237558
-1066.134558
Total of 4030566795 and 693.
4030567488
Calculate 11490297283 + -16.
11490297267
What is -6 less than -31.7990626768?
-25.7990626768
Calculate -0.06 + 569054.896754.
569054.836754
What is 25477 + 15793.647?
41270.647
-7176591+23798
-7152793
What is 158985.652 less than -13.4?
-158999.052
Calculate -0.7896608 - -1.65348.
0.8638192
-2645 + 49401.3780679
46756.3780679
Subtract 48111234369.3 from -0.22.
-48111234369.52
What is -105266 - 11920350?
-12025616
99777755908 + 0.5
99777755908.5
Calculate -6629.67314875 + -0.048.
-6629.72114875
Put together 2321686365.4 and -0.045.
2321686365.355
6793717 - -2.436
6793719.436
-393409.03 - 8.26198
-393417.29198
-1108147.6416 - -2
-1108145.6416
Calculate -634769 - -12385332.
11750563
What is the difference between -1174.8 and -1161942.3?
1160767.5
What is 5 take away -1073.41313309754?
1078.41313309754
Calculate 169.06499284423 - 0.11.
168.95499284423
What is 377 - -8.64225772?
385.64225772
Sum -140664 | {
"pile_set_name": "DM Mathematics"
} |
11?
6353
Convert -1aa2 (base 14) to base 4.
-1023232
What is -1000102101 (base 3) in base 5?
-1114430
397 (base 10) to base 9
481
-2748 (base 12) to base 14
-190c
253 (base 10) to base 2
11111101
Convert 1636 (base 9) to base 13.
750
Convert -27d (base 15) to base 2.
-1000111000
-9457 (base 10) to base 7
-36400
1136 (base 14) to base 13
148b
2685 (base 11) to base 6
24041
What is -101010011 (base 2) in base 12?
-243
Convert 12614 (base 7) to base 10.
3392
-16b6 (base 12) to base 2
-101010101010
Convert -100100110111011 (base 2) to base 11.
-131aa
What is 150b (base 12) in base 5?
34314
What is 90ad (base 15) in base 5?
1434123
2105 (base 8) to base 6
5021
What is -b1 (base 16) in base 6?
-453
Convert -4402 (base 11) to base 7.
-22640
2021 (base 5) to base 3
100200
1003031 (base 4) to base 12
25a5
Convert 11111101001 (base 2) to base 7.
5622
60541 (base 7) to base 6
151544
What is 210000112 (base 3) in base 5?
442243
-53 (base 8) to base 16
-2b
What is 1362 (base 9) in base 3?
1102002
Convert -4075 (base 8) to base 13.
-c63
Convert -415 (base 7) to base 13.
-130
What is -102655 (base 7) in base 4?
-10112203
What is 320103 (base 4) in base 8?
7023
Convert -a8a (base 12) to base 15.
-6d1
Convert 96 (base 12) to base 2.
1110010
What is -12224 (base 12) in base 14?
-8d08
What is 17b8 (base 13) in base 3?
11211210
Convert -7b1 (base 12) to base 10.
-1141
Convert 12001033 (base 4) to base 10.
24655
Convert 287 (base 16) to base 2.
1010000111
What is -11661 (base 7) in base 10?
-3081
What is -734 (base 10) in base 15?
-33e
2a86 (base 13) to base 4
1200302
431 (base 7) to base 11
189
Convert 102100 (base 3) to base 13.
1a7
What is -31001 (base 5) in base 4?
-133101
Convert -200220 (base 4) to base 3.
-2212100
Convert 1278 (base 10) to base 11.
a62
Convert -1040144 (base 5) to base 12.
-a626
Convert -543 (base 10) to base 7.
-1404
Convert 20110 (base 4) to base 15.
257
32 (base 12) to base 14
2a
Convert 101201 (base 3) to base 11.
243
Convert -20132 (base 4) to base 11.
-453
-25720 (base 10) to base 4
-12101320
1776 (base 10) to base 3
2102210
3926 (base 11) to base 2
1001111110110
Convert 6806 (base 10) to base 7.
25562
10002 (base 3) to base 5
313
Convert -1344 (base 10) to base 4.
-111000
What is -20001 (base 3) in base 12?
-117
Convert 1132 (base 6) to base 14.
156
What is -b0a (base 14) in base 16?
-876
Convert -14351 (base 8) to base 10.
-6377
Convert 11111011011011 (base 2) to base 9.
24058
What is 1021200 (base 3) in base 16?
3a8
Convert 3013113 (base 5) to base 4.
23230210
What is 10102002 (base 3) in base 11?
1960
-5855 (base 15) to base 4
-10211003
Convert 23ba (base 13) to base 9.
6835
Convert 604 (base 14) to base 2.
10010011100
-1d60 (base 16) to base 10
-7520
What is 201002 (base 3) in base 2?
1000000011
Convert -33204 (base 5) to base 4.
-210000
What is -11211 (base 4) in base 6?
-1353
-4711 (base 12) to base 5
-223213
What is 123122 (base 4) in base 5?
24004
-6010 (base 7) to base 15
-92a
What is 54472 (base 8) in base 14?
8478
-236 (base 8) to base 9
-185
Convert -14120 (base 8) to base 16.
-1850
What is 10011110101000 (base 2) in base 5?
311102
What is -4040 (base 5) in base 4?
-20020
4c9 (base 14) to base 2
1111000001
What is -23112 (base 4) in base 11?
-600
What is 3573 (base 8) in base 4?
131323
-547 (base 13) to base 4
-32020
3101400 (base 5) to base 12
25095
3d0 (base 15) to base 12
606
What is 113 (base 9) in base 4?
1131
-2200323 (base 4) to base 8
-24073
3149 (base 11) to base 5
113132
a69 (base 11) to base 3
1202121
ea6b (base 15) to base 9
75032
27810 (base 9) to base 14
6c4a
-23a (base 11) to base 13
-18c
-21745 (base 9) to base 15
-443e
Convert 22ca (base 13) to base 2.
1001100100010
What is -260035 (base 7) in base 6?
-1010234
Convert acbd (base 16) to base 13.
17188
What is -47ad (base 14) in base 13?
-58c8
What is -8007 (base 12) in base 10?
-13831
Convert -10320 (base 5) to base 2.
-1011000110
-149 (base 15) to base 7
-600
-ad8 (base 14) to base 11
-1685
134 (base 11) to base 6
422
What is -745 (base 9) in base 3?
-211112
-2121220 (base 3) to base 8
-3572
What is 111000100100101 (base 2) in base 8?
70445
14412 (base 14) to base 2
1100010000010000
Convert -4872 (base 16) to base 14.
-6a8a
What is -23338 (base 9) in base 8?
-36343
Convert -664 (base 8) to base 9.
-534
What is -9173 (base 12) in base 10?
-15783
Convert 6263 (base 9) to base 3.
20022010
a736 (base 14) to base 5
1410420
-453130 (base 6) to base 14
-dd4a
Convert 1110011011 (base 2) to base 10.
923
-12025 (base 11) to base 8
-41662
-9322 (base 11) to base 16
-304e
Convert -334 (base 8) to base 6.
-1004
Convert -1262 (base 9) to base 13.
-57b
Convert -4094 (base 15) to base 6.
-143051
What is 100001111011 (base 2) in base 4?
201323
-7671 (base 10) to base 13
-3651
-28714 (base 9) to base 16
-4c4e
Convert 617 (base 14) to base 3.
1122100
-1cf (base 16) to base 11
-391
Convert 7302 (base 9) to base 16.
14e4
What is -1012012222 (base 3) in base 9?
-35188
-43628 (base 11) to base 9
-105757
What is -12191 (base 10) in base 16?
-2f9f
What is 326 (base 12) in base 3?
122010
355 (base 15) to base 7
2126
Convert 2815 (base 12) to base 8.
11021
-8196 (base 16) to base 14
-c138
What is -13632 (base 7) in base 12?
-2203
What is -138a (base 13) in base 2?
-101100000010
300002 (base 4) to base 7
11651
Convert 1000011110100 (base 2) to base 13.
1c8b
Convert 1713 (base 15) to base 14.
1b4c
Convert -11213 (base 5) to base 11.
-675
Convert 17253 (base 8) to base 3.
101202210
What is -135 (base 12) in base 11?
-159
-71 (base 9) to base 6
-144
-2269 (base 13) to base 10
-4819
5037 (base 9) to base 8
7137
-507 (base 13) to base 9
-1146
-21422 (base 8) to base 2
-10001100010010
-1261 (base 11) to base 13
-992
Convert 110100100 (base 2) to base 5.
3140
What is 111331 (base 7) in base 4?
10310020
Convert 30033 (base 5) to base 9.
2533
-16323 (base 9) to base 2
-10101110111111
3121122 (base 4) to base 11
a4aa
What is -440342 (base 5) in base 4?
-3223321
1201012211 (base 3) to base 11
23349
12bb7 (base 13) to base 8
104224
What is -150 (base 16) in base 10?
-336
4061 (base 9) to base 12
1877
1401a (base 12) to base 6
332034
-426 (base 8) to base 7
-545
b43e (base 16) to base 11
31738
What is 3c00 (base 15) in base 6?
135213
What is 2203 (base 7) in base 9?
1064
-d08 (base 15) to base 7
-11360
What is 2110 (base 5) in base 8?
430
2835 (base 9) to base 5
32023
Convert -6516 (base 7) to base 3.
-10011210
c43 (base 14) to base 4
211223
Convert 301 (base 11) to base 15.
194
What is -1143 (base 8) in base 15?
-2ab
What is 1201101 (base 3) in base 16?
4e4
123032 (base 4) to base 9
2345
What is 2965 (base 14) in base 3?
101001220
What is -5342 (base 6) in base 14?
-62a
Convert 4114 (base 5) to base 15.
259
-1011010011101 (base 2) to base 15
-1aae
-425 (base 6) to base 9
-188
94a (base 13) to base 7
4421
Convert -11342 (base 9) to base 6.
-55015
What is 814 (base 9) in base 2?
1010010101
-532a (base 12) to base 14
-3466
Convert -29297 (base 11) to base 2.
-1010001010001001
2101220221 (base 3) to base 13
18709
-205051 (base 6) to base 11
-11579
Convert 11333 (base 4) to base 6.
1435
What is -10245 (base 9) in base 11?
-509a
Convert 4020 (base 6) to base 12.
610
Convert 13972 (base 13) to base 10.
36766
Convert -4811 (base 9) to base 5.
-103244
Convert -1191 (base 10) to base 8.
-2247
-102100212 (base 3) to base 8
-20135
23232 (base 4) to base 2
1011101110
337 (base 16) to base 13
4b4
3996 (base 10) to base 15
12b6
Convert 1000000011001010 (base 2) to base 4.
20003022
-72aa (base 11) to base 3
-111021111
-2347 (base 12) to base 13
-1a44
Convert -1002 (base 4) to base 14.
-4a
Convert 311 (base 10) to base 2.
100110111
Convert 132043 (base 6) to base 14.
45bd
-1626 (base 12) to base 15
-b9c
Convert 222231 (base 5) to base 12.
4634
What is -111001110 (base 2) in base 7?
-1230
Convert 11880 (base 10) to base 4.
2321220
What is 44b3 (base 12) in base 4?
1313013
Convert -121120 (base 3) to base 16.
-1bf
What is caa (base 14) in base 9?
3380
What is 144 (base 8) in base 13?
79
Convert -1120133 (base 5) to base 8.
-47113
Convert -12625 (base 8) to base 10.
-5525
Convert -2100 (base 8) to base 11.
-8aa
Convert 53055 (base 6) to base 12.
418b
Convert -8905 (base 15) to base 10.
-29030
Convert -27084 ( | {
"pile_set_name": "DM Mathematics"
} |
t f(a) be the first derivative of -a**3/3 + 525. Let c(z) be the first derivative of -3*z**2 - 2. Give f(c(m)).
-36*m**2
Let a be -4 - 0 - (-12 - -6). Let h(b) = 0*b - a*b + 4*b. Let w(u) = -42*u**2. Give h(w(s)).
-84*s**2
Let y(u) be the third derivative of -u**5/20 + 3*u**2. Let j(q) = -40*q**2 + 12*q**2 + 29*q**2. What is j(y(d))?
9*d**4
Let k(n) be the third derivative of n**5/15 + 14*n**3/3 - 15*n**2. Let a(f) = -2*f**2. Calculate a(k(v)).
-32*v**4 - 448*v**2 - 1568
Let q(d) be the first derivative of 22*d**3/3 - 2*d - 355. Let u(t) = 13*t**2. Give q(u(s)).
3718*s**4 - 2
Let b = -716 - -718. Let m(v) be the second derivative of 0*v**b + 0*v**3 - 1/6*v**4 - 7*v + 0. Let p(n) = -20*n. Calculate p(m(r)).
40*r**2
Let m(y) = 138*y - 417*y + 136*y + 131*y. Let h(q) = 4*q**2 - 2*q**2 + 0*q**2. Calculate m(h(f)).
-24*f**2
Let m(t) = 5*t**2 + 4*t. Let i(w) = 6*w**2 + 5*w. Let p(l) = -4*i(l) + 5*m(l). Let f(o) = -204*o**2. Determine p(f(z)).
41616*z**4
Let p(s) = -764*s. Let q(y) = 40*y**2. Calculate p(q(x)).
-30560*x**2
Let k(j) = 2*j**2. Let q(a) = -21*a - 2*a - 24*a. Give q(k(p)).
-94*p**2
Let l(j) = -71*j**2. Let c(s) = -71 + 3*s - 31 + 102. Determine c(l(d)).
-213*d**2
Let u(o) = 4*o. Let a(n) = n + 7005. Give u(a(w)).
4*w + 28020
Let r(a) = 5*a. Suppose 3 - 5 = -c. Let n(f) = 6*f**2 + 3*f**2 - 11*f**c. Calculate r(n(m)).
-10*m**2
Let z(p) be the first derivative of p**2 + 1. Let j(a) be the third derivative of 3*a**5/10 - a**2 + 102*a. What is z(j(m))?
36*m**2
Let k(b) = 2 - 3 + 3 - 1. Let p(i) = i - 3. Let u(d) = 6*k(d) + 2*p(d). Let w(l) = -2*l + 2. Calculate u(w(x)).
-4*x + 4
Let k(g) = 10655*g**2 + g. Let x(o) = -47*o**2. Give k(x(h)).
23536895*h**4 - 47*h**2
Let d(q) be the first derivative of -q**6/180 + 10*q**3/3 - 11. Let l(s) be the third derivative of d(s). Let y(a) = a. Calculate l(y(n)).
-2*n**2
Let d(l) = -5537*l. Let n(r) = -r**2. Give n(d(z)).
-30658369*z**2
Let m(z) be the second derivative of 0 + 0*z**2 - 14*z + 1/6*z**3. Let h(o) = 3*o**2. Determine m(h(q)).
3*q**2
Let v(n) be the first derivative of 3*n**2 - 1629. Let s(x) = 1. Let i(o) = 3*o - 6. Let t(p) = -i(p) - 6*s(p). What is t(v(a))?
-18*a
Suppose 0 = -6*n + 3*n. Let f(u) be the second derivative of 1/3*u**3 - 3*u + 0 + n*u**2. Let s(t) = -7*t. Determine f(s(j)).
-14*j
Let f(z) = 11*z**2. Let h(q) be the third derivative of q**6/240 - q**4/4 + 43*q**2. Let s(n) be the second derivative of h(n). Calculate f(s(u)).
99*u**2
Let z(g) = g**2. Let k(t) be the first derivative of 11*t**4/6 - 19*t - 12. Let m(f) be the first derivative of k(f). Give z(m(u)).
484*u**4
Let p be (4/9)/(26/117). Let y(i) be the first derivative of 2 + 0*i + 0*i**p - 1/3*i**3. Let k(d) = 6*d**2. Give k(y(x)).
6*x**4
Let c(i) be the first derivative of 0*i + 3/2*i**2 - 11. Let g(z) = z. Calculate g(c(o)).
3*o
Let x(a) = 0*a - 7*a + a. Let q(w) be the third derivative of -w**8/10080 - 8*w**5/15 + 3*w**2 - 11. Let y(d) be the third derivative of q(d). What is y(x(j))?
-72*j**2
Let s(r) be the third derivative of -r**4/6 + r**3 - 25*r**2. Let f(z) = 5*z - 7. Let k(n) = 6*f(n) + 7*s(n). Let d(m) = -35*m**2. What is k(d(a))?
-70*a**2
Let o(c) = 1192*c. Let r(a) be the third derivative of -a**5/60 - 172*a**2. What is o(r(v))?
-1192*v**2
Let g be 22/((-616)/(-42)) - (-1 - 0). Let f(z) be the first derivative of g*z**2 + 4 + 0*z. Let d(x) = -2*x. Calculate d(f(h)).
-10*h
Let b(g) = -2*g + 899. Let w(x) = -35*x**2. Determine b(w(u)).
70*u**2 + 899
Let o(a) = -4*a. Let k(z) = -15*z**2 - 13. Suppose -15*u = -7*u - 48. Let f(x) = 7*x**2 + 6. Let i(l) = u*k(l) + 13*f(l). What is o(i(v))?
-4*v**2
Let k(h) be the first derivative of -16*h**3/3 + 1. Let n(i) = 4*i**2 + 12*i - 12. Let x(d) = 3*d**2 + 10*d - 10. Let o(u) = 5*n(u) - 6*x(u). Calculate k(o(b)).
-64*b**4
Let n(p) be the first derivative of p**2/2 - 6. Let h(m) = -74*m**2. Give h(n(l)).
-74*l**2
Let u(o) = -2*o**2. Suppose 4*x + 2*z - 54 = -0*x, -3*x + 58 = -2*z. Let k(s) = -12*s + x*s + 3*s. What is u(k(t))?
-98*t**2
Let p(r) = -4*r. Let d = 33 - 21. Let k(m) = 3*m**2 - 4*m - d*m**2 + 4*m. Give k(p(g)).
-144*g**2
Let j(h) = -17*h + 5*h - 11*h. Let v(t) be the first derivative of t**3/3 + 1785. Calculate v(j(x)).
529*x**2
Let k(h) be the first derivative of -h**2/2 - 19. Let r(c) = c**2 - 11*c + 15. Let f be r(10). Let q(t) = 0*t - 7*t + f*t - 6*t. What is k(q(j))?
8*j
Let d be 1/(-6) - 186/(-36). Let n(x) = -4*x. Let q(r) = -5*r. Let o(c) = d*q(c) - 6*n(c). Let u(i) = -16*i. Determine o(u(m)).
16*m
Let z(k) = 6*k. Let i(f) = 65*f - 13. Let h(w) = -16*w + 3. Let l(v) = 13*h(v) + 3*i(v). Determine z(l(o)).
-78*o
Let z(n) = 0*n**2 - 5*n**2 + n**2. Let u(v) = 13 + 9*v + 5*v + v. Let c(j) = -7*j - 6. Let r(m) = 13*c(m) + 6*u(m). What is r(z(q))?
4*q**2
Let s(k) = -5*k. Let n(c) = c**2 + 13*c**2 + 7*c**2 - 6*c**2 + 3*c**2. What is s(n(a))?
-90*a**2
Let q(f) be the third derivative of f**5/40 + 5*f**3/6 - 16*f**2. Let o(v) be the first derivative of q(v). Let c(d) = 4*d**2. Calculate o(c(g)).
12*g**2
Let t(g) = -g**2 - g. Let w(j) = -2*j**2 - 4*j. Let s(m) = -4*t(m) + w(m). Let h(d) = -209*d**2. Calculate s(h(r)).
87362*r**4
Let m(z) = -19*z**2 + 14*z - 14. Let d(p) = -18*p**2 + 12*p - 12. Let c(o) = -7*d(o) + 6*m(o). Let f(y) = 3*y**2. Calculate f(c(g)).
432*g**4
Let f(h) = -h. Let l(j) = 12297 - 12297 - 61*j. Calculate f(l(n)).
61*n
Let o(l) = l. Let w(z) = -5*z**2 - 283*z - 1. Determine w(o(x)).
-5*x**2 - 283*x - 1
Let h(k) = -2*k**2 - 15*k + 6. Let t(i) = 4*i**2 + 25*i - 10. Let b(p) = 5*h(p) + 3*t(p). Let y(s) = 443*s**2. Calculate y(b(l)).
1772*l**4
Let v(r) be the first derivative of 10 + 1/2*r**2 + 0*r. Let z(o) = -o**2. Calculate z(v(f)).
-f**2
Let d(a) = -14*a. Let v(m) = -8607*m. Determine d(v(s)).
120498*s
Let l(j) = -j - 9142. Let b(o) = -4*o - 13. What is b(l(s))?
4*s + 36555
Suppose 5*y - 20 = -5*j, y + 3*y + 4 = j. Let u(v) be the second derivative of y*v**2 - 6*v + 0 + 0*v**3 - 1/12*v**4. Let f(z) = -3*z. What is f(u(w))?
3*w**2
Let r(k) = k - 7*k - 3*k - 3*k - k. Let a(z) = -28*z. What is r(a(v))?
364*v
Let a(n) be the third derivative of -15*n**2 - 4*n**4 - 5*n**4 + 8*n**4. Let k(t) = -2*t**2. Determine k(a(y)).
-1152*y**2
Let u(k) = -28*k + 3. Let p(t) = 94*t. What is u(p(v))?
-2632*v + 3
Let g(d) = -d**2. Let f(k) = -27*k + 4. Let n(r) = 240*r - 35. Let x(u) = -35*f(u) - 4*n(u). Calculate g(x(q)).
-225*q**2
Let s(w) = 43*w**2. Let q(k) = -k**2 + 2. Let h(f) = -4. Let u(x) = -h(x) - 2*q(x). What is u(s(v))?
3698*v**4
Let m(g) = 7*g**2. Let w(l) = 2*l + l + l + 5*l. Calculate w(m(q)).
63*q**2
Let i(m) = 5*m**2. Let q(x) be the second derivative of -3*x + 0*x**3 + 0*x**2 - 1/12*x**4 + 0. Calculate i(q(f)).
5*f**4
Let u(a) = 2*a. Let l(y) = -2*y + 35098. Determine l(u(x)).
-4*x + 35098
Let y(g) be the third derivative of -29*g**5/60 + 22*g**2 + 1. Let n(p) = -5*p. What is y(n(r))?
-725*r**2
Let c(y) = 26576*y + 1. Let m(i) = -i**2. Give c(m(f)).
-26576*f**2 + 1
Let o(v) be the first derivative of v**4/6 + 12*v - 13. Let z(p) be the first derivative of o(p). Let y(a) = 5*a. Calculate y(z(l)).
10*l**2
Let j(a) = 2*a. Let l(c) be the first derivative of 0*c + 3/2*c**2 + 7. What is j(l(r))?
6*r
Let o(f) = -3*f**2. Let c(w) = -70*w. Let z(p) = p. Let m(v) = 2*c(v) + 70*z(v). Calculate m(o(y)).
210*y**2
Let b(t) = -7*t. Let l(c) = 21262*c**2. Give l(b(q)).
1041838*q**2
Let b(s) be the second derivative of 0*s**2 + 0 - 7*s + 5/6*s**3. Let j(u) = -3*u**2 + 3 - 3 + 0. Calculate j(b(c)).
-75*c**2
Let c(s) = 1. Let l be (3 - 14/4)*-2. Let a(i) = -7*i**2 + 2. Let h(k) = l*a(k) - 2*c(k). Let d(f) = 6*f**2. Determine h(d(g)).
-252*g**4
Let g(y) = -2*y**2. Let d(w) = -8*w**2 + 132*w**2 - 20*w**2. Give g(d(s)).
-21632*s**4
Let b(v) = 1287*v. Let w(q) = 90*q - 259*q + 90*q + 81*q. What is b(w(i))?
2574*i
Let z(l) be the first derivative of 2*l**3/3 - 120. Let s(c) = -c**2. Calculate z(s(j)).
2*j**4
Let f(m) = -m + 1. Let a(g) = 2*g - 4. Let y(t) = a(t) - f(t). Let v(r) = -2*r**2. Calculate y(v(s)).
-6*s**2 - 5
Let n(g) = -197*g. Let w(j) = -9*j - 9*j - 3*j + 22*j. What is n(w(p))?
-197*p
Let w(m) = -2*m**2. Let t(o) be the third derivative of 0*o + 0 - 1/3*o**4 + 0*o**3 + 29*o**2. Determine t(w(q)).
16*q**2
Let u(p) = -3*p**2 - 5*p. Let n(k) = -4 + 6 - 2 | {
"pile_set_name": "DM Mathematics"
} |
?
1/23
What is the value of 280/(-483) + 15 + (-6246)/414?
-2/3
3*6*(-6 - 550/(-90))
2
Evaluate (4 - 1)/((-204)/25024*16).
-23
What is the value of (-4)/20 - (-7 - ((-1548)/(-10))/(-6))?
-19
Evaluate (-19)/(1026/4) - (-5 - (-1288)/108).
-7
What is (-508)/(-100) + 10 + -15?
2/25
What is the value of 2 + (-462)/(-119) - (-2)/34*2?
6
What is (4/(-6))/(-5*(-10 - 1510/(-150)))?
2
Evaluate (10/55 + (-174)/(-132))/(1/(-10)).
-15
Calculate (-63)/((-2835)/(-72))*(2 + 18/(-8)).
2/5
Calculate (-12 - 1 - (-150)/10)*-1.
-2
Evaluate ((-7)/(-3)*4/(-14))/((-22)/(-198)).
-6
What is the value of 127 + -130 - (-70)/24?
-1/12
What is 3/((-4 + (-9)/(-3))*1/(-1))?
3
50/200 - (-18)/(-8)
-2
What is the value of 2/(((-3)/(-5))/(42/(-20)))?
-7
((-2)/(-2))/((-89)/165 - 110/1815)
-5/3
What is the value of (4116/(-20))/21 + (-33)/15 + 1?
-11
What is (-36)/45*((-100)/8)/(-5)?
-2
Evaluate 10/(-550)*-835 + -7 + -8.
2/11
What is the value of 5/(-8)*600/(-500)?
3/4
Calculate (6/17)/(1456/136136).
33
Calculate ((-7)/2 - 1)*60/(-45).
6
What is the value of ((-5)/(-4))/(20/(-240))?
-15
What is 12/(-18)*-12*(-40)/32?
-10
Evaluate (-9 - -10)*(-2 - (-9 + 9)).
-2
Calculate (-172)/559 - (-116)/546.
-2/21
What is (2 - 3)*(10 - 1661/165)?
1/15
Calculate (-81)/(-297)*22*((-10)/(-15) - 2).
-8
Calculate (37 - 13) + 10/6*12/(-4).
19
(-25)/(2975/(-68)) + ((-156)/(-224))/(-1)
-1/8
15400/(-1550) - (-8 - 2)
2/31
What is the value of (358/(-40) - -9) + ((-13947)/1260 - -11)?
-2/105
What is (-3 + (-176)/35 - 2/5) + 8?
-3/7
What is (-5)/4*4/8*-16?
10
What is -15 - (-18 + 95/30)?
-1/6
2489/(-4180) - ((-126)/(-11) - 12)
-1/20
What is the value of ((-146)/55 + -4 + 6)/(12831/42770)?
-24/11
What is -20*(-4)/10 + -2 + (-4)/2?
4
What is the value of 2334/1945*10/6?
2
Evaluate (-483322)/(-40527) + 4/54.
12
What is the value of ((-42)/15 - -3)/(14 + (-592)/40)?
-1/4
18/3*231/(-198)
-7
What is the value of 1928/88 + (-23)/(-253)?
22
Calculate (-43 - -48)/((-33)/(-18) - 1).
6
Evaluate -7 + (22/(-8))/((-24)/64).
1/3
Calculate -67 + 71 + (1 + 3 - -3).
11
Calculate (9/2)/(-1)*-30*61/(-6405).
-9/7
What is -10*-4*1/12 + 12/(-4)?
1/3
Evaluate (-84)/528*-11*(-90)/35.
-9/2
What is 18/(-3)*((-9)/(-30) + (-2294)/930)?
13
Evaluate (-8 + 2242/285)/(4/(-40)).
4/3
What is the value of 5*78/(-325)*((-21)/(-27))/(-7)?
2/15
30*(44/110 - 16/20)
-12
Calculate (-48)/27 + 62/(-279).
-2
((-256880)/(-225))/(-38) + 30
-2/45
Evaluate ((-5)/65 + (-882)/364)*10/(-75).
1/3
Calculate 148/80 - 42/(-56).
13/5
What is (-5)/(10/26) - 3?
-16
Calculate ((-5092)/(-938))/((-7)/((-196)/8)).
19
Calculate ((-34)/(-24) + -1)*((-1008)/45 - -23).
1/4
What is 2 - (6*(-95)/(-30) + -5)?
-12
Calculate ((-606)/(-114) + (-42 - -37))*19.
6
What is the value of (-2)/13 + -8 + ((-599984)/(-5291))/14?
-2/37
((-861)/18)/(-7)*120/(-20)*1
-41
What is the value of 3 - (((-10)/4)/1 + (-35)/35)?
13/2
(-10 - -3) + 3 + -2
-6
Evaluate -117*20/(-210) - ((-136)/28 + 6).
10
(270/324)/((-13)/104)
-20/3
What is the value of (-70)/525*(-2)/6?
2/45
5 - (0*2/4)/(-1)
5
Calculate ((3 - 1) + -1)/(17/595*-7).
-5
What is the value of 8/64*-59 + 15 + -8?
-3/8
Evaluate 69102/(-3490) + (12/(-45))/((-2)/6).
-19
Calculate 6/(-51) + ((-602)/(-442))/7.
1/13
Evaluate 144/(-96)*((-4)/10)/((-2)/20).
-6
(1*-1 - -3)/(1321 - 1322)
-2
Calculate (-279)/24 + (-25 - (-4137)/168).
-12
Calculate ((-4)/16)/((-2)/(-8)) + 567/594.
-1/22
What is (-6)/(-8)*2*(-2 - 168/(-98))?
-3/7
What is the value of -1 - ((-56)/8 + -1 - -6) - 4?
-3
What is (17328/(-648) - -27)*-9?
-7/3
What is (-10)/(-400)*-30 + 0 + (-177)/(-12)?
14
What is 231/112 + (-6)/3*1?
1/16
What is the value of (-16 - -3) + (-16 - -12)?
-17
Calculate (7 - (-250)/(-36))*(-135)/(-6).
5/4
Calculate 32/24*(-63)/(-56)*6.
9
Calculate (-48)/10*(-317 - -312).
24
What is the value of (-79361)/2602 + (31 - 0)?
1/2
What is the value of 4305/6314*(-11)/(-10)?
3/4
137/8 + 98/(-1225) + (-27)/600
17
What is (1612/(-248))/((-2)/(-4))?
-13
What is (((-30)/8)/5)/((-663)/(-136))?
-2/13
Evaluate (3 - 115/45)/(-98*29/(-14616)).
16/7
What is the value of -26 + ((-54)/(-2) + 18)*(-2)/(-10)?
-17
Evaluate (-1449)/92*72/(-315).
18/5
What is (-2)/6 - 9718/(-4746)?
12/7
What is -10*30/950*-19?
6
What is ((6/(-9))/(20/90))/(27/12)?
-4/3
What is (-6)/(-18) + (-9)/(-12) + (-1014)/72?
-13
What is 6/21 - (-374)/63 - (-122 + 128)?
2/9
(9747/15162)/(9/(-8))
-4/7
Evaluate ((-35)/(-15) - 2)/(-5 + (-176)/(-33)).
1
1850/(-50) + (8/(-6))/((-3)/18)
-29
What is the value of (-1)/1 + (10 + 1 - 31)?
-21
Evaluate (-851)/(-345) - (-1)/5.
8/3
Calculate (30/4)/(156/416).
20
Evaluate (1110/(-135))/2 + (-5)/((-10)/8).
-1/9
Calculate -3*2 - 9*110/(-198).
-1
(-1855)/6572 + ((-3)/14)/(108/(-126))
-1/31
What is the value of 6118/805 - (3 + 6 + -3)?
8/5
What is ((-840)/(-980))/(1/14)?
12
(-1520)/(-228)*(-6)/(-8)
5
Calculate (-120)/80 + 22/4.
4
What is the value of ((-455)/14)/(-5) - (10 - 5)?
3/2
What is 728/(-1344) + (-2)/(-12)?
-3/8
What is the value of ((-2)/6 + 2/2)*2124/(-5192)?
-3/11
What is 15/27*42/(-28)*6?
-5
What is (-2072)/924 - 50/(-55) - 37/(-30)?
-1/10
Evaluate 105/(77/(-11)) - 11/(55/30).
-21
What is ((-184)/69)/((-5256)/378 - -14)?
-28
((-1086)/648 - -2) + 54/(-24) + 2
2/27
What is the value of (-17)/(-12) + 10*(-13)/1560?
4/3
What is the value of 2080/414 + (-890)/801 + 16/184?
4
Calculate 546/189*90/(-20).
-13
What is ((-3)/(-9)*40/168)/(10/12)?
2/21
Calculate ((-4)/(-6))/(21/(-9)) - 1129/(-7903).
-1/7
(-1)/((126/150)/(15/(-25)*-1))
-5/7
Calculate 2860/(-352) + (-1)/(-8).
-8
(-14880)/66400 - ((-3)/(-9) + 24/(-45))
-2/83
Evaluate ((-6)/(-21))/(20352/(-924) + 22).
-11
What is the value of (-700)/550 - (-4624)/1870?
6/5
-9*(-10)/4860*(1 + -2)*3
-1/18
Evaluate (((-32)/36)/(-8))/(114/(-228)).
-2/9
27 + 1573/(-33) + (-1)/3
-21
What is the value of 24/11 + (-222080)/45804?
-8/3
Evaluate (1646/20575)/(16/(-10)).
-1/20
What is -23 - (78/12 - 0)*(-144)/(-156)?
-29
Evaluate 132/(-13) + 25/(3575/22).
-10
What is 62/60 - (-27)/45*5/(-15)?
5/6
Evaluate (-8)/(-10)*(-260)/26.
-8
What is the value of (2 - (2 + 1/(-2)))*0/(-91)?
0
What is the value of 1 + (-2)/(-12) + 186/(-1116)?
1
Evaluate (-5 + 35)*(3/(-6) + 1).
15
Evaluate (698/(-3141))/(104/(-18)).
1/26
What is (644/3)/(-14)*(-16)/32 + -8?
-1/3
(420/560)/((-6)/7)
-7/8
((-6 - -3) + 2)/(-1*6/42)
7
Calculate 245/140*(-30)/(-385)*4.
6/11
Calculate (8/(-28))/((3/18)/((-16)/(-48))).
-4/7
Evaluate (-3)/((-26)/(-1092)*-9).
14
What is the value of 22 + (-31 - -14) + -45?
-40
Evaluate 3915/(-12150) - 12/(-45).
-1/18
120/(-48)*(-31)/(1240/(-96))
-6
What is the value of ((-12)/(-117))/((-14)/(-18) - 1)?
-6/13
Calculate 142/(-78) + 3 + (-6 - (-70)/15).
-2/13
Calculate -8*(3204/576)/89.
-1/2
What is the value of 9/(135/24)*(-90)/(-36)?
4
0/((-1750)/300 - (-2)/(-12))
0
What is the value of 32 - (-21 - (35 - 106))?
-18
Calculate (-19)/969*663 - 2*7/(-2).
-6
Calculate (-48)/20 - 122/(-305) - -26.
24
What is the value of 42/5985*-15 + (-80)/(-38)?
2
Calculate 860/1540*-7 - (2 + (1 - 8)).
12/11
Evaluate (1526/(-3052))/(1/28).
-14
What is (-13)/(-12 + (9 - (-4 - 0)))?
-13
What is 2470/247 - (-38)/(-2)?
-9
What is (-14400)/(-1920)*(-12)/(-5)?
18
What is (-72)/42 + 22/(-2464)*4?
-7/4
(-10 + (-3 - -15))/70
1/35
Evaluate 14 - (7 - (-10 - -19))*-7.
0
Evaluate (24/((-768)/56))/(2 - 1).
-7/4
What is the value of -4 + -5 + -5 + (-5502)/(-392)?
1/28
Evaluate ((-282)/(-329))/(19/21*(2 + -5)).
-6/19
What is (13/(390/(-48)))/((-6)/(-45))?
-12
Evaluate (-2)/(-18) + 7/252*140.
4
What is the value of (46/(-6) - -5)/(9/54*28)?
-4/7
Evaluate 148/(-20) - 1050/(-750).
-6
Evaluate 1*40/(-24)*(-2)/(-10).
-1/3
2/16*114/665*100/30
1/14
-3*(232/(-16))/(-29)
-3/2
What is 1*(-6 + (2 + -14 - -26))?
8
What is the value of 21/3 - 21*42/(-147)?
13
Evaluate ((-2)/(-31) - 4620/(-2387))*21/2.
21
What is the value of ((-252)/(-108))/(77/396)?
12
Calculate (330/1386)/(30/36).
2/7
What is the value of (-82)/(-492) + (-114)/36?
-3
Evaluate 4/(-36)*0/(23 + -25).
0
(29/377)/(4/4)
1/13
What is the value of (-22)/(2310/(-75)) + ((-132)/(-21) - 1)?
6
Evaluate (680/80)/((-1)/2).
-17
What is (-16)/646 + (-2336)/(-9928)?
4/19
What is (-126)/12*(136 + -147 + 62/6)?
7
What is (-1 - -4)*(-5)/(-3)*(-23288)/(-29110)?
4
(-6230)/(-3738) + -3*4/(-9)
3
6/(-1 - 54/27)
-2
What is (64/(-160))/(2/(-10) + 0)?
2
(4 - | {
"pile_set_name": "DM Mathematics"
} |
1
Collect the terms in -63*o**2 + 64*o + 2*o**3 - 36 + 30*o**2 + 33*o**2.
2*o**3 + 64*o - 36
Collect the terms in 7526*c**3 + 3655*c**3 + 2379*c**3.
13560*c**3
Collect the terms in -94*f**3 + 4*f**2 + 3*f**3 + 28*f**3.
-63*f**3 + 4*f**2
Collect the terms in -17*a**3 - 20 - 69 + 89.
-17*a**3
Collect the terms in -44576 - 16*l**2 + 44576.
-16*l**2
Collect the terms in 26479*l + 17861*l + 3204*l.
47544*l
Collect the terms in -13*j**2 - 22 + 127*j**2 + 22.
114*j**2
Collect the terms in 16*f**2 - 876534*f + 1753067*f - 876533*f + 4*f**2.
20*f**2
Collect the terms in 569*b**3 - 24*b**2 + 16*b**2 + 8*b**2 - 567*b**3.
2*b**3
Collect the terms in 11*f + 16540 + 5*f - 17*f.
-f + 16540
Collect the terms in 59*d**3 + 44 - 94 + 29.
59*d**3 - 21
Collect the terms in -49*b**2 - 90*b**2 - 219*b**2 - 2*b + 6*b**2.
-352*b**2 - 2*b
Collect the terms in 591 - 591 + 1059*v.
1059*v
Collect the terms in 130 + 139 + 147*y - 269.
147*y
Collect the terms in 23*i + 9*i - 34*i - 57*i - 66*i.
-125*i
Collect the terms in 10 - 11 - 436*a + 1.
-436*a
Collect the terms in -39014992654 + 39014992654 + 8*x.
8*x
Collect the terms in -656*v + 1983*v - 464*v - 495*v.
368*v
Collect the terms in 2 - 2 + 27*q**2 + 82*q**2 - 2*q + 0*q.
109*q**2 - 2*q
Collect the terms in -604 + 551 + 57 + 3*u**3.
3*u**3 + 4
Collect the terms in 3*m + 874 - 874 - 37*m + 5*m.
-29*m
Collect the terms in 510 - 255 - 4*a**2 - 255 + 28*a**2.
24*a**2
Collect the terms in 97*n**2 + 284*n**2 + 0*n**3 - n**3 - 666*n**2 + 285*n**2.
-n**3
Collect the terms in 536219 + 536224 - 1608665 + 536222 + 44*s**2.
44*s**2
Collect the terms in -221*v + 1081*v**2 - 221*v + 442*v.
1081*v**2
Collect the terms in 4 - 3 + 10837717*a - 10837715*a - 1 + 0.
2*a
Collect the terms in -8*t**2 + 8*t**2 + 130*t + t**2.
t**2 + 130*t
Collect the terms in -332*p**2 - 81*p**2 + 8 - 310*p**2 - 8.
-723*p**2
Collect the terms in 3*u**3 - 5*u**3 + 2*u**2 + 8*u**3 + 11*u**3 - 2*u**3.
15*u**3 + 2*u**2
Collect the terms in 88*a**2 + 25*a**2 - 6*a**2 - 6*a**2.
101*a**2
Collect the terms in 110146 - 110146 + 145*i**3.
145*i**3
Collect the terms in 11*s**2 - 9*s**2 - 2*s**2 - 626*s**3.
-626*s**3
Collect the terms in 48*x**3 - 119*x**3 + 2*x + 99*x**3.
28*x**3 + 2*x
Collect the terms in -61 - 2*c**2 + 28 + c**2 + 31 - 5563*c**3.
-5563*c**3 - c**2 - 2
Collect the terms in -321*w**2 + 105*w**2 + 942 - 942.
-216*w**2
Collect the terms in -5*z**2 - 624 - z**2 + 1229 - 605.
-6*z**2
Collect the terms in 3283*i**2 + 170*i - 3288*i**2 - 162*i.
-5*i**2 + 8*i
Collect the terms in -21381*m + 2*m**3 + 21381*m + 431*m**2.
2*m**3 + 431*m**2
Collect the terms in -75 + 12 + 25 + 2*z + 22 + 22 + 23.
2*z + 29
Collect the terms in 102842*a - 102842*a - 4*a**2 - 7*a**2.
-11*a**2
Collect the terms in 1005*k**2 - 2027*k**2 + 2*k**3 + 1022*k**2.
2*k**3
Collect the terms in 8*k**3 + 7941 - 23837 + 7946 + 7950.
8*k**3
Collect the terms in 3*b - b - 2*b - 747*b**3 + 765*b**3.
18*b**3
Collect the terms in -3*z**2 + z**2 + 36 - 4 - 3.
-2*z**2 + 29
Collect the terms in 27*f + 133*f - 54*f - 1.
106*f - 1
Collect the terms in -957520*k - 4*k**2 - 957520*k + 1915035*k.
-4*k**2 - 5*k
Collect the terms in -13*j**2 + 1817 - 10879*j - 1817 + 10879*j.
-13*j**2
Collect the terms in -40*n**2 + 74*n**2 - 6*n**2.
28*n**2
Collect the terms in -366*a + 312*a + 3*a**2 + 54*a.
3*a**2
Collect the terms in -4*h + 0*h + 71955537 - 71955537.
-4*h
Collect the terms in -2094*k + 2075*k + 3 - 3.
-19*k
Collect the terms in 29605*z - 59201*z - 8*z**3 + 29596*z - 6*z**3.
-14*z**3
Collect the terms in -63*k**3 + 28*k**3 - 3*k**3 - 5*k**3 + 47*k**3 - 2*k**3.
2*k**3
Collect the terms in -x**2 + 16*x**3 + 6*x**2 - 12*x**2 + 0*x**2.
16*x**3 - 7*x**2
Collect the terms in 391 - 390 + 420*o + 163*o.
583*o + 1
Collect the terms in -11*y**3 + 23491*y**2 + 14*y**3 - 23491*y**2.
3*y**3
Collect the terms in -2*u**2 - 3*u**3 + 22 + 265 + 491.
-3*u**3 - 2*u**2 + 778
Collect the terms in 107*t**3 - 170*t**3 + 73*t**3.
10*t**3
Collect the terms in 7*y - 43*y + 9*y + 6*y + 12*y + 15*y.
6*y
Collect the terms in -572 - 609 + 52*s**3 + 1181 - 50*s**3.
2*s**3
Collect the terms in -198*r**2 - 196*r**2 + 896*r**2 - 199*r**2 - 197*r**2 - 113*r**2.
-7*r**2
Collect the terms in -245*d + 245*d - 1 - 5*d**2 + 584*d**3.
584*d**3 - 5*d**2 - 1
Collect the terms in -q**2 - 133*q**3 + 74*q**3 + 5*q**2 + 72*q**3.
13*q**3 + 4*q**2
Collect the terms in -18785*c - 3*c**2 + 0*c**2 + 18785*c.
-3*c**2
Collect the terms in 251*u**2 - 273*u**2 + 34*u**2.
12*u**2
Collect the terms in -10*m**3 - 1 - 3415*m**2 + 10238*m**2 - 3413*m**2 - 3410*m**2.
-10*m**3 - 1
Collect the terms in 7*v - 31*v + 48*v + 55*v.
79*v
Collect the terms in -114*o + 151*o + 444*o + 1.
481*o + 1
Collect the terms in 119*p + 70*p - 3*p**2 + 68*p - 14*p.
-3*p**2 + 243*p
Collect the terms in -2207*z + 1121*z + 1106*z.
20*z
Collect the terms in -1927179 + 3854352 - 1927173 - 6*y.
-6*y
Collect the terms in -6825 + d**2 + 6825.
d**2
Collect the terms in -50*u - 12*u - 41*u + 107*u.
4*u
Collect the terms in s + 7330 - 8025 - 10252.
s - 10947
Collect the terms in -4 - 68*q**2 + 4 + 36*q**2 - 47*q**2.
-79*q**2
Collect the terms in -4*d**3 - 3*d**3 + 3*d**2 + d**3 - 7*d**2 + 2*d**2.
-6*d**3 - 2*d**2
Collect the terms in -26 + 1975*q**3 + 53 - 27.
1975*q**3
Collect the terms in -353*m**2 + 137*m**2 + 166*m**2.
-50*m**2
Collect the terms in -22*o + 38 - 6 - 9 - 12 - 7.
-22*o + 4
Collect the terms in 1827 + 1692*g**3 - 1827 + 2*g**2 + 1323*g**3.
3015*g**3 + 2*g**2
Collect the terms in 5*h - 620 + 2*h - 13*h + 8*h.
2*h - 620
Collect the terms in -60 - 400*y + 120 - 60.
-400*y
Collect the terms in -1011 + 327 - 359*j**2 + 343 + 341.
-359*j**2
Collect the terms in -23275*x**2 + 14668*x**2 - 19583*x**2.
-28190*x**2
Collect the terms in -1627 + 341 - b - 2711 + 395.
-b - 3602
Collect the terms in 54*k - 55*k - 43*k + 2.
-44*k + 2
Collect the terms in -20 + 0 - 6*u**2 + 18*u**2 + 20.
12*u**2
Collect the terms in 900*o + 831*o - 194*o + 261*o - 274*o.
1524*o
Collect the terms in 25566567*n - 25566567*n + 30*n**2.
30*n**2
Collect the terms in 23 + 2*d + 9*d - 12*d.
-d + 23
Collect the terms in -9625*c - 2*c**2 + 9625*c - 8*c**2.
-10*c**2
Collect the terms in 21 - 5*g + 13*g - 6 - 11*g.
-3*g + 15
Collect the terms in -235*s + 697*s - 216*s - 241*s.
5*s
Collect the terms in 52 - 95 + 43 - 8*j.
-8*j
Collect the terms in 0*w + 9*w + 729 - 729.
9*w
Collect the terms in -1179*d**2 + 3620*d**2 - 1253*d**2 - 1186*d**2.
2*d**2
Collect the terms in 601*z**2 + 598*z**2 + 595*z**2 - 1793*z**2.
z**2
Collect the terms in 7346*s**2 - 906*s**2 + 3093*s**2.
9533*s**2
Collect the terms in -13 - 102*p**3 + 52 - 19 - 20.
-102*p**3
Collect the terms in 6*j**2 - 307*j + 307*j.
6*j**2
Collect the terms in -1862*i + 3722*i + 585*i**2 - 33*i**2 - 1860*i.
552*i**2
Collect the terms in 69 - 135 + 66 + 2835*u.
2835*u
Collect the terms in 111*q + 6 - 2 - 4 + 0.
111*q
Collect the terms in 607*n**2 - 306*n**2 - 302*n**2 - 381 + 190 + 191.
-n**2
Collect the terms in -788*z - 2*z**3 - 777*z + 2324*z - 759*z.
-2*z**3
Collect the terms in 34*r - 6*r**3 - 2*r**2 - 109*r + 8*r**3.
2*r**3 - 2*r**2 - 75*r
Collect the terms in 996192391*n - 996192389*n + 1 - 1.
2*n
Collect the terms in -2*v**2 - v**2 + 0*v + 0*v - 195 + 183.
-3*v**2 - 12
Collect the terms in 1045*q - 1045*q - 1290*q**3.
-1290*q**3
Collect the terms in -3*a**2 - 66*a + 139*a + 2*a**2 - 64*a.
-a**2 + 9*a
Collect the terms in -7396*i**2 - 7248*i**2 + 14776*i**2 + 1.
132*i**2 + 1
Collect the terms in -154*k**2 - 333*k**2 + 217*k**2.
-270*k**2
Collect the terms in -127*c**2 + 363*c**2 - 113*c**2 - 3*c**3 - 123*c**2.
-3*c**3
Collect the terms in 12*g + 36*g**3 - 7*g - 5*g + 15*g**3.
51*g**3
Collect the terms in -75783*x**2 + 75783*x**2 + 14*x**3.
14*x**3
Collect the terms in -3*l - 20*l + 11*l + 6*l - 7*l + 6*l.
-7*l
Collect the terms in 2686469131*p - 2*p**2 - 2686469131*p.
-2*p**2
Collect the terms in -o**2 + 801925441602 - 801925441602.
-o**2
Collect the terms in -5*y - 7*y + 24*y - 8*y + 2*y - 8*y.
-2*y
Collect the terms in 6120322293 - z - 6120322293.
-z
Collect the terms in 0*t - 76*t**3 + 3*t + 163*t**3 - 3*t - 88*t**3.
-t**3
Collect the terms in 765*t**3 + 688*t**3 + 776*t**3 + 771*t**3 - 3011*t**3.
-11*t**3
Collect the terms in 13*r + 113*r - 6*r + 6*r.
126*r
Co | {
"pile_set_name": "DM Mathematics"
} |
**2 - y
Let b(w) = -7*w**2. Let n(i) = i**2. Give -b(v) - 6*n(v).
v**2
Let g(l) = 10*l**2 - 21*l**2 + 6*l + 3*l**2 - 1 + 7*l**2. Let x(z) = -z**2 + 5*z - 1. Calculate -3*g(s) + 4*x(s).
-s**2 + 2*s - 1
Let m(s) = -s**2 + s + 1. Let j(u) = 3*u**3 - 2*u**2 + 4. Give j(c) - 2*m(c).
3*c**3 - 2*c + 2
Let r(i) = 2*i**2 - 4*i + 4. Let w be 1/5*-3*-5. Suppose w*z + 2 = 11. Let o(t) = 2*t**2 - 3*t + 3. Give z*r(v) - 4*o(v).
-2*v**2
Let z(k) = -3*k**2 + 1. Suppose 3*y - 8 = 5*h, -h = 2*h + 5*y + 32. Let a(i) = i**2. Calculate h*a(j) - z(j).
-j**2 - 1
Let l = 31 - 20. Let r(v) = 3*v - 2. Let d(b) = 3*b - 2. Let u(k) = -5*d(k) + 4*r(k). Let i(c) = 9*c - 5 - 2*c + c. Give l*u(j) + 4*i(j).
-j + 2
Suppose 3*o + 2*o + 10 = 0, -4*h - 16 = -2*o. Let a(u) = u**2 - 1. Let d(q) = q**3 - 3*q**2 + 2. Give h*a(v) - 2*d(v).
-2*v**3 + v**2 + 1
Let j(l) = -5*l**2 + 9*l - 17. Let u(q) = -2*q**2 + 4*q - 9. What is 3*j(n) - 7*u(n)?
-n**2 - n + 12
Let g(o) = -4*o + 17. Let u(d) = d - 6. Determine 4*g(v) + 11*u(v).
-5*v + 2
Let y(p) be the third derivative of p**6/60 + p**3/3 - 19*p**2. Let a(d) = 4*d**3 - d**2 + 5. Give 2*a(u) - 5*y(u).
-2*u**3 - 2*u**2
Let x(s) = -2*s**3 - 5*s**2 + 4*s. Let j(h) = 2*h**3 + 6*h**2 - 5*h. Let o = 16 + -22. Calculate o*x(l) - 5*j(l).
2*l**3 + l
Let s be (6/10)/(18/15 - 1). Let o(w) = 4*w**3 - 3*w - 3*w**2 + 1 + 2 + w. Let k(u) = -u**3 + u**2 - 1. Determine s*k(z) + o(z).
z**3 - 2*z
Let m(d) = 23*d**3. Let b(x) = 530*x**3. Give -3*b(z) + 70*m(z).
20*z**3
Let x be (-1)/(-2) - (-3)/6. Let m(c) = -2*c**2 - c + 5. Let s(b) = 1. What is x*m(a) - 3*s(a)?
-2*a**2 - a + 2
Let j(p) = -4*p + 6. Let g(d) = -2*d + 3. Give -5*g(s) + 2*j(s).
2*s - 3
Let m(d) = -5*d + 6. Let n(c) = 6*c - 7. Let h(v) = v**3 + 7*v**2 + 3*v. Let y be h(-6). Let p = y + -13. Calculate p*m(u) + 4*n(u).
-u + 2
Let i(a) = a**2 + 1. Let m = -7 - -8. Let l(o) = o**3 + 5*o**2 + 5. Let x(n) = n - 2. Let j be x(2). Let k be j/3 - (-5)/(-1). Give k*i(g) + m*l(g).
g**3
Let n(g) = 17*g - 8. Let b(u) = 1842*u - 1 - 2 - 1836*u. Give 8*b(k) - 3*n(k).
-3*k
Let f(c) = -11*c - 61. Let z(u) = -5*u - 30. Calculate -3*f(j) + 7*z(j).
-2*j - 27
Suppose -14*z + 13*z = -11. Let u = -4 + 6. Let p(x) = -3*x**3 + 2*x**2 - x - 2. Let l(g) = -g**2 - g**2 + 5*g - 9*g**2 + 16*g**3 + 11. Give u*l(f) + z*p(f).
-f**3 - f
Let u(b) = b**3 - b**2. Let h(m) = -4*m**3 + 11*m**2 + 2*m. Calculate h(a) + 5*u(a).
a**3 + 6*a**2 + 2*a
Let u(n) be the second derivative of -n**4/12 + n**3/3 - n**2 + 3*n. Suppose -m + 8 = -2*r, m - 3*r - 23 = 2*r. Let q(s) = 2*s - 1. Give m*u(w) + 3*q(w).
2*w**2 + 2*w + 1
Let z(i) = i**3 + i**2 + i + 1. Let a(b) = 2*b**3 + 8*b**2 + 5*b + 5. Give -a(w) + 5*z(w).
3*w**3 - 3*w**2
Let s(l) be the first derivative of l**3/6 + l**2/2 + 2*l - 4. Let v(i) be the first derivative of s(i). Let y(w) = -w - 3. Determine 2*v(b) + y(b).
b - 1
Let h(m) = 4*m + 4. Let u(g) = -1. Let t(w) = 2*h(w) - 12*u(w). Let f(y) = -3*y - 7. Let p(k) = k**2 + 6*k + 9. Let l be p(-5). Determine l*t(x) + 11*f(x).
-x + 3
Let h(i) = 7*i**3 + 6*i. Let f(g) = 6*g**3 + 5*g. Determine 6*f(w) - 5*h(w).
w**3
Let l(f) = -6*f**2 + 8*f - 2. Let b(h) be the first derivative of -4*h**3/3 + 5*h**2/2 - h - 3. Suppose 6 = -3*d - 18. What is d*b(j) + 5*l(j)?
2*j**2 - 2
Let c = 4 - 3. Let x(y) be the second derivative of -y**3/6 + y**2 + 23*y + 1. Let m(g) be the first derivative of -g + 1. Determine c*x(j) + 2*m(j).
-j
Let u(p) = 3*p**2 - 11*p + 10. Let x(w) = -2*w**2 + 6*w - 5. Give -6*u(f) - 11*x(f).
4*f**2 - 5
Let a(w) = 4*w**2 - 8*w + 7. Let o(r) = -2*r**2 + 4*r - 4. What is -3*a(y) - 5*o(y)?
-2*y**2 + 4*y - 1
Let t(d) = 5*d - 1. Let y(z) = 14*z - 3. Give -11*t(f) + 4*y(f).
f - 1
Let g = 5 - 11. Let y(k) = -4*k**2 + 5*k + 6. Let s(p) = 11*p**2 - 14*p - 17. Suppose -1 = d - 7. Let c = d - 23. Determine c*y(v) + g*s(v).
2*v**2 - v
Let t(a) = -13*a**3 - 7*a**2 - 3*a + 5. Let s(p) = 4*p**3 + 2*p**2 + p - 2. Calculate 7*s(z) + 2*t(z).
2*z**3 + z - 4
Let m(f) = -f**3 + f**2 + f. Let n be 192/40 + (-2)/(-10). Let q(g) = 0 + 7*g**3 - n*g**2 - 3*g + 1 + 0*g. Calculate -5*m(d) - q(d).
-2*d**3 - 2*d - 1
Let n(p) = 17*p + 2. Let u(h) = 15*h + 1. Let d(l) = -3*n(l) + 4*u(l). Let q(v) = 4*v - 1. What is -2*d(f) + 5*q(f)?
2*f - 1
Let m(g) = 9*g**3 + 7*g + 7. Let v(y) = -4*y**3 - 3*y - 3. What is 6*m(b) + 14*v(b)?
-2*b**3
Let p(w) = -w**3 + 2. Suppose 6 = 4*z + j - 3, 5 = 4*z - 3*j. Let c(s) = 1 + s**2 - z*s**3 - 5 + 3 + 3. Let n = 1 - -1. What is n*c(d) - 3*p(d)?
-d**3 + 2*d**2 - 2
Let n(z) = 11 + 15*z**2 - 4*z**2 - 5*z**2 - 21*z. Let p(w) = -w**2 + 4*w - 2. Suppose -r + 5 = -6. Calculate r*p(v) + 2*n(v).
v**2 + 2*v
Let q(r) = -6*r**2 + 11*r + 14. Let a(o) be the first derivative of 4*o**3/3 - 7*o**2/2 - 9*o - 6. What is -8*a(h) - 5*q(h)?
-2*h**2 + h + 2
Let w(y) = -y**2 - 5*y - 7. Let h(a) = -2*a**2 - 11*a - 15. Suppose -j = -t - 8, -13 - 5 = -4*j - 3*t. Suppose 5*f - j = 24. Calculate f*h(c) - 13*w(c).
c**2 - c + 1
Let n(g) = -6*g**2 + 5*g + 5. Let t(h) = -h**2 + 13*h - 18. Let s be t(9). Let q(b) = -21*b**2 + 18*b + 18. Determine s*n(f) - 5*q(f).
-3*f**2
Let i = -2 + 3. Let c(v) = 2*v + 3. Let r be c(3). Let l(p) = -r - 21*p - i + 8*p. Let o(z) = -9*z - 7. Determine -5*l(q) + 7*o(q).
2*q + 1
Let d(f) = -18*f**2 + 9*f - 12. Let b(k) = -k**2 + k - 1. Let l(n) = 5*b(n) - d(n). Let c(u) = -6*u**2 + 2*u - 3. What is 9*c(q) + 4*l(q)?
-2*q**2 + 2*q + 1
Let a(y) = 17*y**3 + 6*y**2 - 6*y + 6. Let m(n) = -33*n**3 - 11*n**2 + 11*n - 11. What is -11*a(j) - 6*m(j)?
11*j**3
Suppose 38 = 6*i - 4. Let o(f) = -f**3 - 13*f**2 + 7*f - 6. Let m(u) = -4*u**2 + 2*u - 2. Give i*m(g) - 2*o(g).
2*g**3 - 2*g**2 - 2
Let n(t) = 33*t**2 + 3*t + 1. Let m(r) = -11*r**2 - r. Give -7*m(c) - 2*n(c).
11*c**2 + c - 2
Let w(o) = -22*o. Let n(g) = -15*g. Calculate 7*n(v) - 5*w(v).
5*v
Let p(f) = -7*f - 16. Let v(h) = 4*h + 8. What is -3*p(g) - 5*v(g)?
g + 8
Let f(s) = s**3 + 9. Let m(c) = 4. Calculate 3*f(x) - 7*m(x).
3*x**3 - 1
Let h(d) = 4*d - 1. Let j(w) = -3*w + 1. What is 5*h(z) + 7*j(z)?
-z + 2
Let k(m) = -19. Let v(b) = b. Calculate -k(s) - v(s).
-s + 19
Let c(t) = -t + 4*t + t + 4*t. Let z(s) = -s. Calculate -2*c(f) - 14*z(f).
-2*f
Let s(x) = -x**3 + 4*x**2 + 4*x + 3. Let f(c) = 5 + 2 + 9*c**2 + 9*c - 20*c**3 + 17*c**3. Give -4*f(q) + 9*s(q).
3*q**3 - 1
Let k(l) = 51*l - 21. Let j(o) be the second derivative of -5*o**3/6 + o**2 + 3*o. Determine 21*j(m) + 2*k(m).
-3*m
Let a(m) = -19*m. Let d(h) = -1445*h. Determine -153*a(w) + 2*d(w).
17*w
Let g(j) = 13*j - 3. Let n(u) = -38*u + 8. What is 8*g(k) + 3*n(k)?
-10*k
Let f(z) be the second derivative of 2*z**3/3 + 2*z. Let o(p) be the third derivative of 0 + 4*p**2 - 1/12*p**4 + 0*p + 0*p**3. What is -6*f(g) - 13*o(g)?
2*g
Let z(c) = 6*c. Let g = -10 - -10. Let q(t) = g*t - t + 2 - 2. What is -11*q(n) - 2*z(n)?
-n
Let j = -1 - 6. Let o(d) = 11*d**2 - 2*d + 5. Let f(z) = 5*z**2 - z + 2. Calculate j*f(u) + 3*o(u).
-2*u**2 + u + 1
Let r(n) = n. Let y(v) = -2*v + 11. Let d(u) = 3*r(u) + y(u). Let j(g) be the second derivative of -g**2 + 6*g. What is -2*d(t) - 11*j(t)?
-2*t
Let b(z) = 7*z**2 + 3*z + 2. Let g(a) = -13*a**2 - 5*a - 4. Determine 11*b(r) + 6*g(r).
-r**2 + 3*r - 2
Let n(b) = -7*b + 4. Let x(h) = -6*h + 3. Determine -2*n(z) + 3*x(z).
-4*z + 1
Suppose 3*w - 6 = 18. Let b be ((-10)/(-8))/(w/(-32)). Let x(c) = -10 + c + 1 + 3*c**2 - 3*c. Let v(p) = -5*p**2 + 3*p + 14. Calculate b*v(g) - 8*x(g).
g**2 + g + 2
Let o(p) = p**3 + p**2 + p. Let j(r) = -3*r**3 - 4*r**2 - 7*r. Determine -j(l) - 4*o(l).
-l**3 + 3*l
Let k(s) = 5*s**2 - 6*s + 5. Let o(u) = -u**2 + u - 1. Give k(g) + 4*o(g).
g**2 - 2*g + 1
Let a(x) = 3 + 3 - 5 - x. Let m(n) = -2*n + 2. Let z(h) = -6*a(h) + 4*m(h). Let y(w) = -6*w + 7. What is 2*y(t) - 7*z(t)?
2*t
Let f(q) = 21*q**3 + 5*q - 5. Let g(z) = -10*z**3 - 3*z + 3. Give -3*f(u) - 5*g(u).
-13*u**3
Let n be -6 + 6 - (-4 - 1). Let t(d) = -d - 1. Let f(m) = 2*m + 3. Let q(h) = 3*h**2 - h. Let l be q(1). Determine l*f(o) + n*t(o).
-o + 1
Let i(j) = 4*j - 16. Let w(p) = -3*p + 15. Give -5*i(g) - 6*w(g).
-2*g - 10
Let t(b) = -23*b**2 + 5*b - 5. Let v(d) = -196*d**2 + 42*d - 42. Determine -42*t(c) + 5*v(c).
-14*c**2
Let q(i) = 13*i**2 + 4*i + 2. Let a(u) = u. Determine 4*a(g) - q(g).
-13*g**2 - 2
Let s be ((-6)/4)/(2/(-4) | {
"pile_set_name": "DM Mathematics"
} |
- 5*t + x = 0. Let f(o) = -3*o**2 + 0*o**2 - 2*o**t. Give f(r(c)).
-5*c**4
Let y(g) = g + 6. Let o be y(-4). Let h(n) = -n**2 - 5*n - 2. Let v be h(-4). Let s(j) = 4*j**2 + 6*j**o - 11*j**v. Let w(p) = -8*p. Give s(w(c)).
-64*c**2
Let u(v) = -15*v**2. Let b(q) = -q + 12. Let h(y) = 2. Let f(c) = b(c) - 6*h(c). Give f(u(l)).
15*l**2
Let m(d) be the second derivative of -d**3/6 + 8*d. Let b(u) = 10*u**2. Determine b(m(l)).
10*l**2
Let t(j) = -10*j**2. Let s(n) = -17*n - 5. Let q(m) = -144*m - 42. Let i(x) = 5*q(x) - 42*s(x). Determine t(i(g)).
-360*g**2
Let b(o) = 3*o. Let z(n) = -144*n**2. Determine z(b(v)).
-1296*v**2
Let y(i) = 239*i**2. Let m(j) = -19*j. Give m(y(x)).
-4541*x**2
Let f(l) = -22*l**2 + 18. Let m(i) = i**2 - 1. Let d(y) = -2*f(y) - 36*m(y). Let x(r) = 3*r. Give d(x(n)).
72*n**2
Let b(p) = 15*p. Let t(g) = 253*g**2. What is b(t(f))?
3795*f**2
Let k(u) = 4*u. Let q(v) = 5*v**2. Let m(r) = -r**2. Let i(y) = 6*m(y) + q(y). Give k(i(j)).
-4*j**2
Let n(m) = 6*m + 108. Let d(b) = -b**2. What is d(n(v))?
-36*v**2 - 1296*v - 11664
Let l(c) be the second derivative of 0*c**2 + 0 + 0*c**3 + c + 1/4*c**4. Let m(y) = -7*y**2 + 2*y**2 + 0*y**2 + 3*y**2. What is m(l(v))?
-18*v**4
Let r(y) = -2*y. Let i(n) = -260 + 260 - 4*n. Determine r(i(z)).
8*z
Let c(p) = -p**2 + p**2 - 2*p**2. Let l(j) = j + 2*j - j - j. Determine c(l(k)).
-2*k**2
Let s(m) = -4*m. Let g(v) = v + 25. What is g(s(q))?
-4*q + 25
Let i(c) = c**2 - 6*c - 6. Let y(w) = w**2 - 5*w - 5. Let b(j) = 5*i(j) - 6*y(j). Let p(s) = -3*s**2. What is p(b(l))?
-3*l**4
Let j(m) = 783*m + 1. Let y(n) = 4*n. Give y(j(o)).
3132*o + 4
Let t(k) = -28*k. Let b(d) = 22*d**2. Determine t(b(n)).
-616*n**2
Let z = 7 + -6. Let m(c) = z - 1 + c. Let d(s) = 5*s**2. Determine d(m(j)).
5*j**2
Let a(b) be the third derivative of -7*b**5/30 + 11*b**2. Let w(l) = l**2. Determine a(w(j)).
-14*j**4
Let i(p) = 7*p. Let t(b) = -b**2 + 3*b**2 + 3*b**2 + b**2. Calculate i(t(k)).
42*k**2
Let f(j) = -44*j. Let y(q) = q**2. Calculate y(f(o)).
1936*o**2
Let o be 16/40 - 26/(-10). Let y(z) = 5*z**2 + 0*z**2 - o*z + 3*z. Let s(q) = -2*q**2. What is y(s(v))?
20*v**4
Let p(f) = -9*f**2. Let w = 14 + -12. Let s(d) = 2*d**2 - w*d**2 + 2*d**2. Give p(s(i)).
-36*i**4
Let v(m) = -2*m. Let h(n) = -n**3 + 8*n**2 - 9*n + 7. Let x be h(7). Let f = 11 + x. Let t(j) = -f*j**2 + 2*j**2 + 4*j**2. What is t(v(c))?
8*c**2
Let z(o) = -34*o**2. Let q(w) = 10*w**2. Determine q(z(s)).
11560*s**4
Let z(b) = 2*b. Let p(y) = 21*y. Let w(u) = -5*p(u) + 56*z(u). Let q(j) = -3*j - 6. Let d(m) = 2*m + 5. Let a(o) = -6*d(o) - 5*q(o). Give a(w(r)).
21*r
Let v(b) = 2*b**2. Suppose 12 = 4*p - 0*p. Let a(s) = -p*s + s + 0*s. Determine a(v(z)).
-4*z**2
Let u(z) be the third derivative of -13*z**4/12 + 9*z**2 - 1. Let n(i) = 3*i. Determine n(u(b)).
-78*b
Let f(a) be the first derivative of -9*a**2/2 - 1. Let v(n) be the second derivative of -n**3/3 - 6*n. What is v(f(s))?
18*s
Let x(r) = -3*r. Let n(p) be the third derivative of 13*p**5/20 - 41*p**2. What is x(n(s))?
-117*s**2
Let c(f) = 6*f**2. Let l(x) be the third derivative of -x**4/8 + 3*x**2. What is c(l(v))?
54*v**2
Let s(g) = 2*g. Let w(x) = 179*x**2. Give w(s(i)).
716*i**2
Let y(k) = -k. Let v(d) be the third derivative of d**4/24 + 4*d**2. Let i(m) = 5*m. Let o(f) = -5*i(f) + 30*v(f). Determine y(o(w)).
-5*w
Let l(v) be the second derivative of 0*v**3 - 1/6*v**4 - v + 0*v**2 + 0. Let r(p) = -2*p**2. What is l(r(n))?
-8*n**4
Let f be (8/(-20))/(2/(-10)). Let m(d) = f*d - 16 + 16. Let h(o) = 6*o. Determine h(m(g)).
12*g
Let k(d) = -18*d**2. Let i(s) = -2*s**2. What is k(i(z))?
-72*z**4
Let p(q) = -3*q + 6. Let h(t) = 3*t - 4. Let b(r) = 3*h(r) + 2*p(r). Let m(w) = -w**2 - w + w. Determine m(b(x)).
-9*x**2
Let p(t) = 3*t**2. Let g(q) = -40*q + 1. Calculate p(g(x)).
4800*x**2 - 240*x + 3
Let s(j) = j**2. Let a(i) be the third derivative of i**8/20160 - i**5/12 - i**2. Let b(y) be the third derivative of a(y). Calculate s(b(r)).
r**4
Let i(o) = -3*o - 9*o + 11*o. Let u(j) = -4*j + 2*j + 3*j. Give u(i(x)).
-x
Let i(d) be the second derivative of -1/2*d**3 - 3*d + 0 + 0*d**2. Let o(v) = v. What is o(i(q))?
-3*q
Let h(v) = 3*v. Let w(p) = p. Let a(c) = -1. Let q(x) = -4*x + 5. Let u(j) = 10*a(j) + 2*q(j). Let z(f) = u(f) + 6*w(f). Determine z(h(s)).
-6*s
Suppose -3*c + 7*c - 21 = -i, 0 = c - 5*i + 21. Let l(f) = -c + 26*f + 4 - 31*f. Let k(o) = -3*o**2. Determine k(l(w)).
-75*w**2
Let c(d) = -d. Let p(l) be the third derivative of l**5/15 + l**4/24 + l**3/6 - 3*l**2. Let h be p(-1). Let k(q) = -5 + 2*q + 9 - h. Determine c(k(z)).
-2*z
Let o(h) = -8*h. Let z(p) = 11*p. Calculate o(z(r)).
-88*r
Let m(t) = -t. Let s(l) = 14 - 7 - 7 - 2*l**2. Determine m(s(v)).
2*v**2
Let i(c) = -3*c**2. Let v(g) = -2*g**2 + 1640*g + 2. Determine v(i(a)).
-18*a**4 - 4920*a**2 + 2
Let y(f) = f. Let d(u) be the second derivative of -u**3/6 + 3*u**2 - u. Let r be d(3). Let j(i) = -2*i + 0*i + 2*i - r*i. What is y(j(m))?
-3*m
Let f(d) = -d**2. Let b(y) be the second derivative of -y**4/6 - y. What is b(f(p))?
-2*p**4
Let q(r) = 5*r. Let c(i) = -17*i**2 - 4. Determine c(q(o)).
-425*o**2 - 4
Suppose 2*j - m - 8 = 0, -j = -m - m - 10. Let p(z) = -z**2 + j*z**2 + 2*z**2. Let r(w) = -w**2 - 2. Let v(u) = 1. Let q(a) = -r(a) - 2*v(a). Calculate q(p(y)).
9*y**4
Let y(h) = -h. Let b(j) = j**2 + 6*j - 5. Let i be b(-7). Let l(r) be the second derivative of -1/2*r**3 + 0*r**i + r + 0. Give l(y(f)).
3*f
Let q(l) = 2*l. Let z(b) = 13*b**2 + 6*b - 6. Let u(v) = -13*v**2 - 7*v + 7. Let i(a) = -6*u(a) - 7*z(a). Give q(i(g)).
-26*g**2
Let j(b) = -4*b. Let m(z) = 58*z**2. What is j(m(g))?
-232*g**2
Let d(b) be the third derivative of -b**5/30 - 2*b**2. Let i(l) = -2*l - 10. Let x be i(-7). Let k(p) = p - x*p + p**2 + 3*p. Determine d(k(j)).
-2*j**4
Let q(a) = 3*a + 6*a + 3*a + 3*a. Let o(d) = -4*d**2. What is o(q(t))?
-900*t**2
Let z(h) = 2*h**2 - h - 1. Let w(u) = u**2 - u - 1. Let b(x) = 2*w(x) - 2*z(x). Let r(k) = -k**2. Determine r(b(a)).
-4*a**4
Let c(k) = -4*k**2. Let n(y) = y. Let s(z) = -z. Let i(r) = -3*n(r) - s(r). Give c(i(w)).
-16*w**2
Let z(o) = -5*o**2 + 23. Let k(h) = -5*h. Calculate z(k(b)).
-125*b**2 + 23
Let t(i) = -6*i - 2. Let k(g) be the second derivative of -g**4/6 - 5*g. Determine k(t(d)).
-72*d**2 - 48*d - 8
Let t(w) = 2*w. Let b(u) = 3*u**2 - 7*u + 0*u + 7*u. What is t(b(x))?
6*x**2
Let w(l) = 2*l. Let x(a) = 7*a - 15*a - 14*a + 2*a. Give w(x(z)).
-40*z
Suppose 4 = -3*d + z, 0 = -3*d - 5*z + 18 + 2. Let a(x) be the third derivative of d*x + 0*x**3 - x**2 + 0 - 1/4*x**4. Let v(i) = -i**2. What is v(a(s))?
-36*s**2
Let u(a) = -2*a. Let r(x) = -3. Let z(d) = d + 7. Let t(b) = -7*r(b) - 3*z(b). Give u(t(n)).
6*n
Let n(x) = 19*x. Let s(i) = -2*i**2 + 33*i. Calculate n(s(h)).
-38*h**2 + 627*h
Let g(u) = 3*u**2. Let o(i) be the first derivative of i**2/2 - 9. What is g(o(s))?
3*s**2
Let z(t) = 3*t**2. Let b(u) = 23*u**2. Let i(f) = 3*b(f) - 24*z(f). Let q(h) = -3*h**2. Give i(q(n)).
-27*n**4
Let l(b) = -2*b. Let j(s) = 337*s. Calculate j(l(w)).
-674*w
Let f(q) = q**2. Let t = 66 - 65. Let p(w) be the first derivative of -t + 0*w - 3/2*w**2. What is p(f(y))?
-3*y**2
Suppose 2*b - 9 + 1 = 0. Let h(v) = v + v - b*v. Let f(z) = 8*z - 5. Let d(y) = 10*y - 6. Let r(p) = 5*d(p) - 6*f(p). Calculate r(h(s)).
-4*s
Let i(v) = 3*v**2. Let y(d) = -16*d - 29. What is y(i(p))?
-48*p**2 - 29
Let v(p) = 2*p**2. Let y(g) = -24*g - 32. Determine v(y(z)).
1152*z**2 + 3072*z + 2048
Let z(g) = -192*g + g**2 + 192*g. Let r(v) = -7*v - v + 7*v. Calculate z(r(j)).
j**2
Let r(j) = -11*j + 3. Let m(q) be the first derivative of q**2 + 58. What is r(m(z))?
-22*z + 3
Let j(k) = -5*k. Let q(v) = -6*v. Let n(a) = -7*a. Let f(s) = 5*n(s) - 6*q(s). Determine j(f(m)).
-5*m
Let m(b) = b. Let s(z) = z**2 - 7*z. Calculate s(m(a)).
a**2 - 7*a
Let f(d) = -2*d**2. Let g(o) = -8*o**2 - 18*o. Determine g(f(m)).
-32*m**4 + 36*m**2
Let m(n) be the second derivative of n**4/12 - n - 34. Let o(l) be the second derivative of -2*l**3 + l. Give o(m(w)).
-12*w**2
Let u(n) = 168*n**2. Let x(g) = -14*g. Give u(x(j)).
32928*j**2
Let w(a) = 4 + a**2 + 2*a**2 + 7*a**2 - 15*a**2. Let d(z) = -2*z. Calculate d(w(h)).
10*h**2 - 8
Let y be ((-5)/15)/(1/(-12)). Let k(v) = 3*v**2 + | {
"pile_set_name": "DM Mathematics"
} |
296)*-2) - sqrt(1296))/(sqrt(8)/(sqrt(4)*1))).
4*sqrt(3)/27
Simplify 0 + -3 + (sqrt(1053) + 0)*4 + (1*sqrt(1053)*-1 + sqrt(1053))**2 + -6*(sqrt(1053) + 0 + -2) + -3.
-18*sqrt(13) + 6
Simplify (-1*sqrt(684))**2 - sqrt(19) - -2*sqrt(931) - (2*sqrt(684) + (sqrt(171) + 0)**2).
sqrt(19) + 513
Simplify -2 + (4 + (sqrt(1900) + (2*(-1 + sqrt(1900)))**2 - (sqrt(1900) + -2*sqrt(1900) + sqrt(1900))*-2))*3*-2 + 0.
-45650 + 420*sqrt(19)
Simplify ((3*(2 + 2*sqrt(125)) - 2*(1 + sqrt(125))*4)*6)**2 + 2.
1440*sqrt(5) + 18146
Simplify (sqrt(125)/sqrt(245))/sqrt(5) + 5 - (-3*sqrt(245)*2 + -5)**2.
-8840 - 2939*sqrt(5)/7
Simplify -6*(sqrt(1377) + 0 + sqrt(17) - sqrt(17) - ((sqrt(612) + sqrt(612) + 1 + sqrt(612))**2 + sqrt(17)) - (sqrt(102) - -1*sqrt(102)*1)/sqrt(6))*-2.
-66108 - 360*sqrt(17)
Simplify ((4*1*sqrt(44) + sqrt(88)/sqrt(2)*4)*2)/((sqrt(48)/sqrt(2)*2)/(sqrt(12)/sqrt(50))).
8*sqrt(11)/5
Simplify (((0 + sqrt(425) + 1)*6*-4 + -3*((sqrt(425) + sqrt(425) + 0)*-4 - sqrt(425))*-3)*2)**2.
100800*sqrt(17) + 18744804
Simplify -2 + (-4*sqrt(288) - 1*sqrt(1152))/(sqrt(72)/(5*sqrt(128))) + 1.
-480*sqrt(2) - 1
Simplify sqrt(832)*3*6 + 3*sqrt(832) + 1 + sqrt(832) - (2*(2*(-1 + sqrt(832)) + sqrt(832) + sqrt(832) + -2*sqrt(832)*4))**2.
-53263 - 336*sqrt(13)
Simplify 4 + ((sqrt(128) - (sqrt(128) + 4)**2) + (-6*sqrt(18))**2 - (sqrt(22)/(1*(sqrt(11) - (sqrt(11) + (-3*sqrt(11) - sqrt(11))))) + 3)).
-225*sqrt(2)/4 + 505
Simplify (sqrt(70)*1*3 + 3*(1*sqrt(70) - sqrt(70)))/(3*sqrt(90) - sqrt(30)/(sqrt(3) + sqrt(9)/sqrt(3))).
6*sqrt(7)/17
Simplify (-5*-2*sqrt(288)*-6 - (3 + 1 + sqrt(200))*4)**2.
24320*sqrt(2) + 1155456
Simplify (-2*sqrt(132)*-6*-3*-1)/(sqrt(588) + (2*sqrt(588)*-6 - sqrt(588)) + sqrt(588) + (sqrt(588) - (sqrt(588)*1*-6 - sqrt(588)))).
-12*sqrt(11)/7
Simplify 4*(-4 + sqrt(175))*6 + (sqrt(175) + 0 + 1 - sqrt(175) - (0 + 1*sqrt(175))).
-95 + 115*sqrt(7)
Simplify -4*(3*(((sqrt(242) - 1*1*sqrt(242)) + -2 + sqrt(242) + 1)*5 + 3))**2.
-217944 + 7920*sqrt(2)
Simplify ((1 + sqrt(5))*5 - (sqrt(5) - (-5 + sqrt(5) + -2)) - ((1*sqrt(3600))/(sqrt(500) + sqrt(500)*1))**2)*2.
-38/5 + 10*sqrt(5)
Simplify (2 + (sqrt(1280)*-2 - sqrt(1280)) + sqrt(1280) + sqrt(720)*2 + (sqrt(5) - (sqrt(50) - sqrt(450))/sqrt(10)) + 5)**2.
-70*sqrt(5) + 174
Simplify -6*(-3 + -1*sqrt(98) + 4 + (-1*2*sqrt(98) - ((sqrt(98) + 1)*-1)**2)) + -2.
210*sqrt(2) + 586
Simplify (-1*(-3 + 1*sqrt(7) + -4 + -3) - (2*-2*sqrt(63))/sqrt(900))**2.
-12*sqrt(7) + 2563/25
Simplify -4*((sqrt(168)*-2*-3)/((1*sqrt(80))/sqrt(10)))/(sqrt(70)/(sqrt(30)/(sqrt(12)/sqrt(4)))*-2).
12*sqrt(3)
Simplify (sqrt(35)*-2*-4 + sqrt(35) + (sqrt(2240) + -4*sqrt(2240) - sqrt(2240)))/(sqrt(49)/sqrt(7)*4 + -3*sqrt(448)).
23*sqrt(5)/20
Simplify (-3*(1 + (3 + -3*sqrt(637) - sqrt(637))*1 + 2 + 5))**2 + 5.
-5544*sqrt(13) + 92822
Simplify (5*sqrt(18) + (sqrt(2) - (sqrt(64) + sqrt(4))/sqrt(2)) - (-2*sqrt(198))/(2*sqrt(396) + sqrt(11)))**2.
44402/169
Simplify (2 + ((sqrt(66)*-1*-1 + 2*sqrt(66)*-6)*-2)/((-5*2*sqrt(12))/(sqrt(2) + sqrt(288))))**2.
-572*sqrt(11)/5 + 225039/25
Simplify (-5 + sqrt(1216) + (sqrt(1216) + -5 - sqrt(1216)) + -1 + sqrt(1216) + 4*2*sqrt(2736) + -4*-1*sqrt(2736) + sqrt(2736))**2.
-3784*sqrt(19) + 562217
Simplify ((sqrt(102) - ((sqrt(102) + sqrt(102)*-1 - sqrt(102)) + sqrt(102) + sqrt(102)))*-1*-3*-2)/((sqrt(1944)*-2)/(sqrt(729) - 2*sqrt(729))) + -4.
-4
Simplify (sqrt(76) + (sqrt(76) - (-4*sqrt(76) + 1 - sqrt(76)) - sqrt(76)) + -1)**2 + 5 + 4*(sqrt(76) + -2) + -4.
-40*sqrt(19) + 2733
Simplify sqrt(11) + (sqrt(44)*-1)**2 + sqrt(11) - ((4*sqrt(121))/sqrt(11) - sqrt(11)) - -1*(-4 + (sqrt(55)/sqrt(5) + 3)**2).
5*sqrt(11) + 60
Simplify -1 + ((3 + (sqrt(108) + -1)**2)*2 - ((sqrt(108) - (-4 + 1*sqrt(108))**2) + sqrt(108) - (sqrt(108) - (6*(1 + sqrt(108)) - sqrt(108)))))*3.
-324*sqrt(3) + 1025
Simplify (sqrt(33)/((sqrt(275) - sqrt(11)) + sqrt(11)) - sqrt(3) - -1*sqrt(3)*-4 - (sqrt(108) + -3 + sqrt(3) - (4 + sqrt(3) + sqrt(30)/sqrt(10) + sqrt(3))))**2.
-616*sqrt(3)/5 + 7033/25
Simplify -5 + ((0 + -1*4*sqrt(68))**2 - (2*sqrt(68) + sqrt(68) + -4 + -4)**2).
96*sqrt(17) + 407
Simplify ((2 + sqrt(1539) + -2 + -3)**2 + (sqrt(190)*-1*-5)/(4*sqrt(30)/sqrt(3)))*3.
-633*sqrt(19)/4 + 4644
Simplify -2 + -2 + (sqrt(3) + 1 - sqrt(3) - sqrt(3)) + 2 + 4*((sqrt(33) - -6*sqrt(1188)) + sqrt(33))/sqrt(11).
-1 + 151*sqrt(3)
Simplify (-5 + 2*sqrt(304))**2 - (-4 + 0 + sqrt(304))**2 - -1*1*((-3*sqrt(304))**2 + sqrt(304)).
-44*sqrt(19) + 3657
Simplify -4 + ((sqrt(1470)*-2 + sqrt(1470) + sqrt(1470))/sqrt(2))/(sqrt(10)/(sqrt(2) - (sqrt(288) - (sqrt(288) + sqrt(288)*2)))).
-4
Simplify (-1*(((sqrt(400)*-1)/sqrt(8))/sqrt(360) + (sqrt(1620) + 0)*5))**2.
1452605/36
Simplify (4 + (sqrt(60)*2)/sqrt(12))*-5 - (sqrt(50)/(2*sqrt(250)) + -3).
-101*sqrt(5)/10 - 17
Simplify -1 + (-2*sqrt(70)*-2)/sqrt(10) + 2 + (3*sqrt(8064))/((sqrt(72) - sqrt(8))*4).
1 + 17*sqrt(7)/2
Simplify 2 + (5*(-3 + (sqrt(19) - (sqrt(190)/(sqrt(10)*-1) + sqrt(19)))))**2 - 2*(sqrt(171) + 1 + (-2*sqrt(190))/sqrt(10))*-3.
-144*sqrt(19) + 708
Simplify ((4*(-4*1*sqrt(84) + sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) - sqrt(84)*1)*-6))))/(-2*sqrt(300)*2*-1))**2.
63/25
Simplify (sqrt(6655) + (sqrt(6655) - 1*sqrt(6655) - sqrt(6655)))/(sqrt(320)*1) - ((sqrt(330)*-1 + sqrt(330))/sqrt(10))/sqrt(3)*4.
0
Simplify (-5*(-4 + ((-1*sqrt(154)*4)/sqrt(11))/(-2*sqrt(4032)) + -5))**2.
-75*sqrt(2)/2 + 145825/72
Simplify (3*((sqrt(68) - (sqrt(68) + 2*sqrt(68) + sqrt(68)))*-5)/(sqrt(64) + sqrt(64) + -1*sqrt(64)))**2 + 6*(-4 + 0 + sqrt(612)) + 5.
36*sqrt(17) + 34121/16
Simplify 5*(3 + (-4*2*sqrt(11) - sqrt(11))*2 - (-4*sqrt(55)/(sqrt(25)/sqrt(5)) + -3)).
-70*sqrt(11) + 30
Simplify ((sqrt(10) + sqrt(40))*1)/sqrt(5) + (sqrt(8)/sqrt(4) + 1 - (-2 + sqrt(2)*1)**2) + 3*(5 + 1 + (sqrt(98)*1)**2).
8*sqrt(2) + 307
Simplify -1*((sqrt(208) + sqrt(208)*2 + 3 + sqrt(208))*-2 + -2*(2*sqrt(208) + -4))**2*-4*-5.
-599120 + 3840*sqrt(13)
Simplify 1*(3 + (sqrt(300) - -4*-1*sqrt(300) - (-2 + -2 + sqrt(300))))**2.
-560*sqrt(3) + 4849
Simplify (-5*-6*(-1*sqrt(78)*6 + sqrt(78)))/(-4*sqrt(150)*-2*-2).
15*sqrt(13)/8
Simplify -1 + 1 + (sqrt(14)/(sqrt(7) + (sqrt(7)*1*-1 - sqrt(7) - sqrt(7)) - sqrt(7)))**2 + (sqrt(242) + -2)**2*3 + 1.
-132*sqrt(2) + 6653/9
Simplify (6*(-1 + (sqrt(600)/(sqrt(1452) - -2*sqrt(1452)))/(3*((sqrt(640) - sqrt(640)*-1) + sqrt(640)))))**2.
-sqrt(5)/33 + 5645381/156816
Simplify 0 + (2*sqrt(80) - (4 + sqrt(20))**2 - (sqrt(35)*2*-3)/(-3*(sqrt(7) + sqrt(7) + (sqrt(7) - -2*sqrt(7) - sqrt(7))))).
-36 - 17*sqrt(5)/2
Simplify ((6*sqrt(1700)*2 - sqrt(1700) - 3*(-2*sqrt(1700) + sqrt(1700))) + 1 + (1*sqrt(1700)*2 + 4)*4)**2.
7480*sqrt(17) + 823089
Simplify (-1*(sqrt(1872) + 1)*4*-6)**2 + (3 + sqrt(1872))*-6 + (2*(sqrt(1872) + sqrt(1872) + -3) - sqrt(1872))**2 + sqrt(1872) + sqrt(1872).
13344*sqrt(13) + 1095714
Simplify (3*sqrt(135) + -3*sqrt(375))/(((sqrt(15) + sqrt(30)/sqrt(2))*3)/(sqrt(75)*-2)).
10*sqrt(3)
Simplify (-2 + (sqrt(108)/(sqrt(432)/sqrt(3)) - (1 + sqrt(300) + 2)))**2.
95*sqrt(3) + 1183/4
Simplify ((sqrt(132) - sqrt(132)*3)*2 + (-3*sqrt(132)*-3 - sqrt(132)))/((sqrt(1728) - -3*sqrt(1728)*-4) + sqrt(1728)).
-sqrt(11)/30
Simplify ((sqrt(108)/sqrt(16))/(sqrt(1089)*1))**2 - ((sqrt(3)*-2)**2 + 4 - (sqrt(3)*-5 + 4)).
-5805/484 - 5*sqrt(3)
Simplify ((sqrt(189) - 4*(sqrt(189) - -1*sqrt(189))) + (sqrt(189) - (sqrt(189)*-2 - sqrt(189)))*-5)/(4*(sqrt(448) + sqrt(448)*-2)*-4).
-81*sqrt(3)/128
Simplify ((sqrt(110) - (sqrt(110) + 6*(sqrt(110) + sqrt(110)*-1 + sqrt(110) + sqrt(110) - sqrt(110)))) + (sqrt(110) - -5*1*sqrt(110)))/(6*sqrt(490)*-3*3).
0
Simplify ((-2*3*sqrt(152))/(sqrt(32)/(sqrt(48)/sqrt(6))))/(-4*(sqrt(242) + -4*(sqrt(242)*1 + sqrt(242)))).
-3*sqrt(19)/154
Simplify (1*(1*sqrt(121) - sqrt(121)) + sqrt(121) + 3*sqrt(121)*3)/(sqrt(66)/(-3*sqrt(6)) - 5*sqrt(44)).
-30*sqrt(11)/31
Simplify (sqrt(26)/sqrt(2)*-5 + -1)**2 + 2 + 5*sqrt(117)/(sqrt(9)*-1)*4.
-10*sqrt(13) + 328
Simplify (-3*sqrt(1815)*1*-4)/(sqrt(1225)/sqrt(5) - (sqrt(5) - sqrt(35)/(sqrt(7)*2))).
264*sqrt(3)/13
Simplify 3*(5 + (-4 + sqrt(252) + 0 + sqrt(252) + 2 + sqrt(252)*-1)**2*-1).
-753 + 72*sqrt(7)
Simplify (sqrt(285)/(-1*sqrt(320)))/(6*sqrt(36)/sqrt(12)*4).
-sqrt(19)/192
Simplify (-5*(-4*sqrt(256)*6*5)/(-6*1*sqrt(128) + (sqrt(128)*-1 + sqrt(128))*2))**2.
20000
Simplify ( | {
"pile_set_name": "DM Mathematics"
} |
be d(0). Let k be (-2)/(-7) + 4/r. Let z = -16 + 11. Which is the closest to 1/3? (a) k (b) z (c) 5
a
Let m = 23 - 25. Let j = 25/2 + -13. What is the nearest to 2/3 in m, j, 0.3?
0.3
Suppose 6*d - 48 = 3*d. Suppose 5*j - j = -d. Let h = -3 + 5. What is the closest to 2/5 in j, -1, h?
-1
Let q be (-2)/(-3) - (-10)/(-6). Let x = -9074/21 + 432. Let p = -2.13 - -0.13. What is the nearest to q in x, p, -3?
x
Let k be -6 + 9 + 70/(-22). Which is the nearest to 0.1? (a) -2/15 (b) -0.2 (c) k
a
Let n = -0.3 - 0. Let v = n - -0.4. Let o = -1 + -4. Which is the nearest to 1? (a) 1 (b) o (c) v
a
Let z = -0.53 + 3.46. Let v = -0.07 - z. Which is the nearest to 1/4? (a) -2 (b) -3/5 (c) v
b
Let y = -13.9 - -14. Which is the nearest to -0.1? (a) -0.5 (b) y (c) 3/4
b
Let n = -836/5 + 168. Which is the closest to -0.1? (a) -4 (b) 0 (c) n
b
Let y = 0.4 + 0.6. Which is the nearest to 0.1? (a) y (b) -0.3 (c) 4/5
b
Let h = 0.19 + 2.81. Which is the closest to 2/3? (a) -1 (b) 2/5 (c) h
b
Let t = -6.6 - -7.6. Which is the nearest to t? (a) 3 (b) -3 (c) 2/5
c
Suppose -2*z + 14 = -5*r, 4*z - 3 = 4*r + 1. Suppose 2*m = -0*m - 2. Let q = -2.3 - -2. What is the nearest to m in -3/4, q, r?
-3/4
Let q = -8 + 7.6. Let g be 30/2 + (-1 - -1). Let p be 6/g*(-10)/(-12). Which is the closest to -2/5? (a) q (b) -0.1 (c) p
a
Let m be ((-8)/21)/(4/(-6)). Let p = 0.93 + 0.07. Let v = 5 - p. Which is the closest to 0? (a) -1/5 (b) m (c) v
a
Let n = 2 + -1.86. Let u = 4.86 + n. Let p = -3 - -4. Which is the closest to 1? (a) p (b) 0.5 (c) u
a
Let i = 4.62 + 0.38. What is the closest to 0 in -1, i, 0.1?
0.1
Let m = 28/3 - 115/12. Let q = 11/6 - 2. Which is the closest to 2/9? (a) q (b) -0.5 (c) m
a
Let a = 0 + -0.1. Let l(c) = 2*c + 6*c**2 - 4*c - 4 + 5. Let q be l(1). What is the nearest to a in -0.1, -5, q?
-0.1
Let g = 0.4 + -0.2. Let u = 4 + -4.1. Let r = 51 + -53. Which is the closest to u? (a) g (b) -3 (c) r
a
Suppose -t = -5*o + 17, 3*t + 17 = 4*o - 1. Suppose 5*u - 10 = 4*a, -u + 23 = -o*a - 2*a. What is the nearest to -0.1 in u, -1, 2/3?
2/3
Let s be (2 - 2) + 3/(-7). Let f = 26.9 - 27. What is the nearest to -1 in f, s, -1?
-1
Let f = -4/341 - -6/31. Which is the closest to -1/2? (a) -3 (b) -0.4 (c) f
b
Let v = -1.35 - -5.35. Let r = -6.3 + 1.3. Which is the nearest to 0? (a) v (b) 2/7 (c) r
b
Let n = -3.533 - -0.543. Let r = n - 0.01. Let j = -0.09 - -4.09. What is the closest to -1/4 in j, 0.1, r?
0.1
Let g = -431/13 - -33. What is the nearest to -4/5 in 0.4, -1, g?
-1
Let q be (-2)/6 - 11/66. What is the closest to q in 0.4, 3/7, -0.4?
-0.4
Let j = 3 - 10. Let f(u) = u**2 + 7*u. Let g be f(j). Let r = -458/5 + 92. What is the nearest to r in -3, -0.2, g?
g
Suppose 2*b = -b + 12. Let y be -3 - (-2)/b*6. Suppose -3*j + j = y. What is the nearest to -0.1 in -1/3, 2/11, j?
j
Let o = -28 - -28.2. Let u = -1 + 0.7. What is the nearest to 0.1 in o, u, 4/7?
o
Let v be (6 + -8)*1/(-2). Which is the nearest to 0.1? (a) -4 (b) 2 (c) v
c
Let l be (-60)/2 + 1 + -1. Let f be (-22)/l - (-6)/(-15). Let i = -0.2 - -0.4. Which is the nearest to f? (a) 2/11 (b) 0.5 (c) i
c
Let j = -0.07 + 0.04. Let o = j - -0.33. Which is the nearest to -2/9? (a) 1 (b) o (c) 3
b
Let i = 3 + -2. Let o = 10 - 6. Let s = 0.1 - 0.6. Which is the nearest to -0.1? (a) o (b) s (c) i
b
Let s = 2.6 + -2.7. Which is the nearest to s? (a) 0 (b) 2 (c) -5
a
Let g = -501/91 + 66/13. Let s = 9/8 + -7/8. Let n = 4 - 2. Which is the nearest to 0.1? (a) n (b) g (c) s
c
Let g = 2.46 - 0.46. Which is the nearest to g? (a) -2 (b) -3 (c) -2/3
c
Let g = 6 - 12. Let o = -47 + 53.2. Let k = o + g. Which is the closest to 1/4? (a) 0 (b) k (c) 4
b
Let r = -9 + 28. Let d = 17 - r. What is the nearest to 2 in 1, d, 0.3?
1
Suppose 4*i - 8 = c + c, -7 = 4*c + i. Let s be ((-4)/8)/((-5)/(-4)). Let p = 1 + -1. What is the closest to s in c, p, -3?
p
Let q = -3 + 7. Let f = -2.9 + 0.5. Let k = -0.4 - f. Which is the nearest to 1? (a) k (b) -0.5 (c) q
a
Suppose 4*y - 6 = -p, 0 = -2*y - y - 4*p - 2. Suppose k - 2*m = 5, -k + 1 = -y*k - 4*m. Let f = -75 + 80. What is the closest to -2 in f, k, -3?
-3
Let t = 0.306 - -1.694. Let w = 0 - -0.2. Which is the nearest to w? (a) 0.1 (b) 1 (c) t
a
Let m(i) = i**3 - 10*i**2 + 9*i - 2. Let t be m(9). Let s = -0.2 + -0.3. Which is the closest to t? (a) s (b) -3/5 (c) 5
b
Let z = 3 + -2.2. Let n = -0.9 + z. Let c(b) = -b**3 - 5*b**2 + 2*b + 5. Let o be c(-5). What is the nearest to n in 1/6, o, -2/9?
-2/9
Let l = 26 - 25.6. What is the nearest to 1 in 2, -1/4, l?
l
Let t be (-1)/(-5)*9/6. What is the closest to -2 in -1/3, -1, t?
-1
Let v = -6149/15 - -1213/3. Let i = v - -6. Let r = 12 + -8. Which is the closest to i? (a) -3 (b) r (c) 2/5
c
Let v = -65.5 - -65. What is the closest to -1 in -4, v, 0.5?
v
Let w be (8 + 0)*(27/6 - 5). Which is the closest to 4? (a) w (b) 1/4 (c) 3/5
c
Let m = 5 - 4.7. Suppose 4*r = -2*f + 18, -10 - 2 = -r - 3*f. Let b = 4 - r. What is the closest to -0.1 in 3/5, b, m?
m
Let k be 1 + -3 - (-16)/4. Let j be (1 - 5) + 2 + k. Let g = 13 - 9. Which is the closest to j? (a) -2 (b) g (c) 0.4
c
Let f = -17 - -17.6. Let v = f - 2.6. Let i = 0.2 - -0.8. Which is the nearest to i? (a) 1/4 (b) v (c) 1
c
Let i = -0.09 + -0.45. Let s = -0.16 - i. Let w = s + 0.02. Which is the closest to -2/7? (a) w (b) 0.5 (c) -0.1
c
Let w = -5 + 4.95. Let s = 0.15 - w. Let n be 2/(-14)*(2 - 1). Which is the nearest to -3? (a) -3 (b) s (c) n
a
Let l = -9.6 + 9.4. Which is the closest to l? (a) -0.2 (b) 0.5 (c) -0.1
a
Let b = -27 - -27.5. Let h = -2 + 3. Let d = -15 - -10. What is the nearest to h in d, -4, b?
b
Let x = 5.55 - 0.55. Let l = -4 - -4. Let n be 6 + l - (2 - 0). Which is the nearest to -2? (a) 2 (b) n (c) x
a
Let t = 0 - -1. Suppose 4*n + 13 = -5*r + 2*n, -3*r + 17 = -5*n. Which is the closest to r? (a) -2 (b) -2/3 (c) t
b
Let v = 0.01 + -0.31. Let d = -1.43 - -0.43. What is the nearest to d in -2/11, v, -0.2?
v
Let o = -61.7 - -62. Which is the closest to -1/3? (a) 3 (b) o (c) 1/3
b
Let x = 51 - 50. Which is the nearest to x? (a) -0.2 (b) -2 (c) 6
a
Let r = -3 - -3. Let o be (3/2)/((-3)/6). Let z be 2 - -2*o/2. What is the closest to r in z, -3, 2?
z
Let k = 5 + -8. Let z = -0.2 + 0. Let y = -9/7 - -41/21. Which is the closest to -0.1? (a) y (b) k (c) z
c
Let l be ((-1)/16)/((-4)/168*-7). What is the nearest to -0.3 in -4, 2/9, l?
l
Let w be (2/(-2))/(1 - -2). Let d = -4.85 + 5. Let u = 1.15 - d. What is the closest to u in 0, -5, w?
0
Let k = -6 - -2. What is the nearest to 0.1 in 2, k, -1/6?
-1/6
Suppose -4 = -m + y, 5*m + 6 = -3*y + 26. Let x be (-15)/(-10)*8/42. Which is the nearest to -1? (a) -0.3 (b) m (c) x
a
Let k = 13 - 9. Let t = 108 + -112. Which is the nearest to -2/3? (a) t (b) 1 (c) k
b
Let i = -131/6 + 22. Let w be 3/2*(-2)/3. Let o be (-12)/9*w/(-10). Which is the nearest to 0.2? (a) o (b) i (c) -2
b
Let x = -2 - -5. Let o = 1.1 + -0.1. Which is the nearest to o? (a) -0.3 (b) -0.4 (c) x
a
Let h be (4/(-10))/((-48)/(-15) - 2). What is the closest to h in -2, 3, 1?
1
Let p = 1 + 2. Suppose -l = 5*v + 154, v = -l - 3*v - 159. Let x = 1607/9 + l. Which is the nearest to 0.2? (a) x (b) p (c) -0.1
c
Let q(p) = -p**3 + 5*p**2 - 4*p + 4. Let n be q(4). Which is the closest to n? (a) -4 (b) 3/4 (c) -4/5
b
Let y = 12 + -11.9. Let f(r) = -r**3 + 5*r**2 + 8*r - 8. Let v be f(6). What is the closest to 1 in v, y, 3/5?
3/5
Let f = 15.87 + 1.93. Let m = f - 18. Let h = 1 + -1. Which is the closest to h? (a) -2/9 (b) m (c) -5
b
Let x = -4.3 + 4. Let j = 0.5 + x. Which is the closest to j? (a) 0.4 (b) 1 (c) -1
a
Let i be (-4)/(-8)*(-8 - -4). Which is the nearest to i? (a) 0.5 (b) -0.4 (c) -3
c
Let g(h) = -h**3 + 8*h**2 - 7*h - 1. Let d be g(7). Which is the nearest to -0.1? (a) -2 (b) 2 (c) d
c
Suppose -2*j + j = -u - 4, 3 = -u. Let z = 109 - 542/5. Let x = -16 + 11. Which is the nearest to j? (a) 0.3 (b) z (c) x
b
Let o = -10.38 + 1.08. Let y = 53 + -44. Let n = o + y. Which is the nearest to -1? (a) n (b) -4 (c) -0.1
a
Let t = 9 + -11. Which is the nearest to -2? (a) t (b) 0 (c) -5
a
Let v = 3.11 + 2.23. Let q = v + -5. Let y = -0 | {
"pile_set_name": "DM Mathematics"
} |
(-p - 5*p + 3*p)*(1 - 4 + 4))*(-13*p**2 + 36 - 36).
26*p**3
Expand 0 + 0 + z**2 + z**2 - z**2 - 3*z**2 + (-3*z - z + 6*z)*(2 - 2*z - 2) + z**2 + 4*z**2 + 2*z**2.
z**2
Expand 5*j**5 - j**5 - 2*j**5 - 13*j**5 - 14 + 14 + (j**3 - j**3 + 4*j**4)*(4*j - j - 5*j).
-19*j**5
Expand 5*k - k - 2*k - 2*k - 3 + 3 + (1 + 3 - 6)*(-k - k + 4*k) + 295*k - 400*k - 1063*k.
-1172*k
Expand -3*p**3 + 0*p**3 + p**2 + 2*p**3 + (-53*p + 29*p + 22*p)*(3*p**2 - 3*p**2 + p**2).
-3*p**3 + p**2
Expand (p**4 + 2*p**4 - p**4)*(-1 + 1 - 2) + 0*p**4 + 3*p**4 + 0*p**4 + (-4 - 3 + 5)*(37*p**3 - 37*p**3 + 17*p**4) - p**4 + 4*p**4 - p**4.
-33*p**4
Expand (-a + 3*a - 5*a)*(3 - 7 + 3)*((-3 - 3 + 4)*(0 - 2 + 1) - 3 + 3 + 1 + 4 - 1 - 2 - 5 + 0 + 6).
15*a
Expand (3 - 3 + r**2)*(-2 - 4*r - 489*r**2 + 3 + 483*r**2).
-6*r**4 - 4*r**3 + r**2
Expand (-4 + 2 + 1 + (-1 + 2 - 2)*(-5 + 4 - 1))*(-2*s + 4*s - 12*s).
-10*s
Expand (-2 + 3 + 0)*(-4*h + 2*h + 7*h)*(-2 + 13 + 0 - 2 + 2 + 1 + 3 - 6 + 1 + 4 + 2 - 4 + (-2 + 5 - 5)*(-4 + 0 + 2) - 1 + 2 + 1).
90*h
Expand (-3 + 1 + 1)*(-k**3 + 6*k**3 + k**3) + (-4*k**2 + 3*k**2 - k**2)*(4*k - 3*k - 3*k) + 59*k - 59*k + 8*k**3.
6*k**3
Expand (18*x**4 + 161*x**4 - 80*x**4)*(-2 + 5 - 1)*(-6*x + 0*x + 3*x).
-594*x**5
Expand (-3 + 1 + 3)*(-2*w - 3*w + 19*w - w + 2*w + 0*w - 5*w + 2*w + 2*w + (3 - w - 3)*(3 + 2 - 3) + 4*w - w - 2*w).
13*w
Expand -w + w - w**2 + w**4 - 90*w**3 + 12*w**4 + 90*w**3 + (-2*w + 3*w - 2*w)*(4*w**3 - 2*w**3 + 0*w**3).
11*w**4 - w**2
Expand (11 + 4 + 2)*(0 - 3*x + 0) - 3 + 3 + 5*x.
-46*x
Expand (-5*c + 3*c + 0*c)*(3*c**3 - c**3 - c**3) + (c - 2*c + 3*c)*(16*c**3 - 18*c**3 - 57*c**3).
-120*c**4
Expand (3 - 1 - 1)*((21*k + 5*k - 10*k)*((0*k + 0*k + 2*k)*(-2 + 0 + 0) + 3*k + 2*k - 4*k - 2*k + 2*k + k) - 6*k**2 + 16*k**2 + 0*k**2).
-22*k**2
Expand (-2 + 2 - 3 + (5 - 4 - 3)*(-1 - 3 + 3) + 2 - 3 + 3 + 8 + 8 - 12)*(-r**2 + 2*r**2 + r**2).
10*r**2
Expand (-3*i**3 - 3*i**3 + 4*i**3)*(-6*i**2 + 0*i**2 + 3*i**2 + (3*i + 14*i - 3*i)*(0 + 0 - 2*i)).
62*i**5
Expand (u**3 - 2*u**3 + 2*u**3)*(4*u - 2*u - u) + 4*u**4 - 1 + 1 + (1 - 2 + 0)*(-2*u**3 + 2*u**3 - 3*u**4) + 2*u**2 - 2*u**2 + u**4.
9*u**4
Expand (8*t - 3 + 3)*(-5*t**2 - 6*t**2 + 4*t**2).
-56*t**3
Expand (2*k + 2*k - 8*k + 7*k**2)*(3 - 2 - 2).
-7*k**2 + 4*k
Expand (2*t - 3*t + 0*t)*(1 + 4 - 3)*(31 - 63 + 26)*(-t + 0*t + 0*t).
-12*t**2
Expand (8*r**2 - 1 - r**4 - 8*r**2)*(106 - 17 + 16).
-105*r**4 - 105
Expand (-3 + 3 + 1)*(50*j + 91*j - 37*j).
104*j
Expand (2*j + 0*j - 3*j)*(820*j + 273*j + 651*j).
-1744*j**2
Expand (-47*z - 59*z + 91*z + z**4)*(-3*z + z + 6*z)*(-4 + 5 - 3).
-8*z**5 + 120*z**2
Expand (133*t**2 + 360*t - 360*t)*(4*t**2 - 5*t**2 - 4*t**2) + 2*t**4 - 2*t**4 + t**4.
-664*t**4
Expand (j**2 + j**2 - 4*j**2)*(2*j + j - 4*j) - 3*j**3 - 12*j**3 + 4*j**3.
-9*j**3
Expand (2*d**3 - 3*d**3 + 2*d**3 + (-3*d - 4*d + 5*d)*(-179*d**2 - 70*d**2 - 153*d**2))*(-4*d**2 + 3*d**2 - d**2).
-1610*d**5
Expand (3 - 3 - 7)*((2 + 9 + 0)*(-2*b + 5*b - b) - 2 - b + 2 - 2*b + b + 4*b).
-168*b
Expand (-18 + 18 - 13*k)*(0 - 9 + 3 - 10).
208*k
Expand (0*l**3 + l**3 + l**3)*(-20 + 2 - 8 - 11).
-74*l**3
Expand 0*k**3 + 2*k**4 + 0*k**3 + (-2*k**2 + 2*k**2 + k**2)*(-3 + 3 - k**2) + 5*k**4 - 4469*k**2 + 4469*k**2.
6*k**4
Expand (88*s + 222*s + 141*s)*(-s**2 - s + s - 3*s**2 + 3*s**2 - s**2 + (-3*s + s + s)*(0*s - s + 3*s)).
-1804*s**3
Expand (2*z - 1799 + 1786 - z)*(-5*z**2 + z**2 + 2*z**2) + (14 - 14 - 12*z**2)*(z + 2*z - 5*z).
22*z**3 + 26*z**2
Expand (3*v + v - 3*v)*(-1 + 2 + 1) - 39 + 39 - 53*v + v + 2*v + v.
-47*v
Expand 2*z - 3 + 3 + (-4*z + 2*z + z)*(-1 - 2 + 2)*(-4 - 5 + 2).
-5*z
Expand -3*k**2 + 2*k**2 + 2*k**2 + k**2 - 4*k**2 + k**2 + (2*k + 0*k - k)*(-k - 1 + 1).
-2*k**2
Expand -3*m + 3*m + m**4 - 2*m**4 - 2*m**4 + 2*m**4 + m**4 + m - m + (2*m**3 - 2 + 2)*(m + 4 - 4) - m**4 + 4*m**4 - m**4 - 70*m**4 - 2*m**4 - 39*m**4.
-107*m**4
Expand (q**5 + q**5 - 4*q**5)*(-7 - 2 + 21).
-24*q**5
Expand (-2 + 3 + 0)*(-3 + 6 - 1)*(0 + 0 + 2*g**2) - 4 + 4 - 8*g**2.
-4*g**2
Expand -3*w - w + 0*w + (-9 - 57 - 57)*(-3*w - 2*w + 3*w).
242*w
Expand (-6 + 8 + 5)*(21*a - 22*a + 0*a - 56).
-7*a - 392
Expand (15 - 12 + 4)*(7*s**4 - 1 - 8*s**4 + 2).
-7*s**4 + 7
Expand (6*o + 14 - 14)*(0 + 0 - 3) - 3*o - 3 - 6 + 12.
-21*o + 3
Expand (-394 + 19*t + 394)*(2 - 1 - 3).
-38*t
Expand 28*k**2 - 27*k**2 + 12*k**5 + 10*k**5 + (k**4 - k**4 - 3*k**4)*(0 + 0 + k).
19*k**5 + k**2
Expand (-179*n**3 - 120*n**3 + 352*n**3)*(3 - 2 + 1 + n).
53*n**4 + 106*n**3
Expand -4*o - 26*o + 10*o + (4*o + 0*o - 3*o)*(-1 - 2 - 1)*(3 - 3 - 2).
-12*o
Expand (-2*z - 22 + 4 + 10)*(z - 2 + 2) - 3*z**2 - 25 + 25.
-5*z**2 - 8*z
Expand (41 + 62 + 21 + 20 - 67)*(-z + 0*z + 0*z).
-77*z
Expand -2*c + 2 - 2 + (0 - 2 + 4)*(3 - c - 3) - 96*c + 35*c - 83*c + 9*c - 102*c.
-241*c
Expand (0*n**5 + 4*n**5 + 14*n**5)*(-1 + 19 + 5) + (1 + n**3 - 1)*(0*n**2 - 3*n**2 + 4*n**2).
415*n**5
Expand (-795 + 795 - 16*b)*(-1 + 2 - 3)*(0*b + b - 3*b).
-64*b**2
Expand -q + q + q**5 + (-4*q**2 - q**2 + 2*q**2)*(q**3 - 5*q**3 + 2*q**3) - 5*q**5 + 2*q**5 + q**5 + 2*q**5 - 2 - 46*q + 46*q.
7*q**5 - 2
Expand (3*q**2 + 2*q**2 - 3*q**2)*(0*q + 0*q + 7*q**3) + q**5 - 2*q**5 + 6*q**5 + 2*q**5 - 2*q**5 + 2*q**5 - 2*q**5 - q**5 + 0*q**5.
18*q**5
Expand (4*j + 2*j - 5*j)*(-3 + 3 - j**3) + 45*j**4 + 20*j**4 - 11*j**4 + 2*j + 3*j**4 - 2*j.
56*j**4
Expand -2 + 2 + 3*v**4 + (v**3 + 2*v**3 - v**3)*(-3*v - 3*v + 8*v) - 31*v**4 - 187*v**4 + 15*v**4.
-196*v**4
Expand (126*y - 1122 + 1122)*(-3*y - y + 5*y) + (0*y + y + 0*y)*(3*y + 2*y - 4*y) - 2*y**2 - y + y - 2*y**2 - y**2 + 7*y**2.
129*y**2
Expand (6 - 6 + 3*u)*(14*u + 161*u - 27*u + 50*u).
594*u**2
Expand (k - 3*k + 0*k)*(-2*k**2 - 12*k**2 - 13*k**2) + (4*k - 3 - 4*k + 2*k)*(-2*k**2 + 0*k**2 + 3*k**2).
56*k**3 - 3*k**2
Expand (6 + 2 + 1)*(4*f + f + 3 + 0).
45*f + 27
Expand (3 + 0 + 1)*(-10 - 5 - 8)*(4 - k**4 + 3*k**4 - 5).
-184*k**4 + 92
Expand -8*p - 5*p - 3*p + (0 + 1 + 1)*(0*p + 3*p - 2*p) + 0*p - p - p + 4*p - 3*p - 3*p + (-p + 2*p + 0*p)*(1 - 2 + 0).
-19*p
Expand (-1 - 1 + 0)*(-86002*k**2 - 92*k + 3*k**3 + 86002*k**2) + k**3 + 0*k**3 - 2*k**3.
-7*k**3 + 184*k
Expand 4*m**3 - 5*m**2 + 5*m**2 + (0*m + 0*m + 3*m)*(-2*m**2 + 0 + 0) + m**3 - 2*m + 2*m.
-m**3
Expand (a + 2 - 2 + (a + 3*a - 2*a)*(1 - 2 + 0) - 1 + 1 - 2*a - 3*a - a + 9*a)*((a**4 + 2*a**4 - a**4)*(-2 + 4 + 1) + a**4 + 3*a**4 - 5*a**4).
10*a**5
Expand (25 - 25 + 3*y)*(4*y - y - 5*y + (9 + y - 9)*(0 - 4 + 3)) - 3 + 3 - 2*y**2.
-11*y**2
Expand (1 - 3*r**3 - 1)*(2*r**2 + 3*r**2 - r**2 + 4*r**2 - r**2 - 2*r**2 - 3*r**2 + 3*r**2 - r**2 + (-2*r + 0*r + r)*(0*r - 2*r - r)).
-21*r**5
Expand -6 + 12*f**2 + 3 - 13*f**2 + 2*f**2 + 4*f - 4*f + (-3*f + f + 3*f)*(-2 + 2 + 2*f).
3*f**2 - 3
Expand (-4*c**3 + 3*c**3 - c**3)*(-2*c**2 - 2*c**2 + 2*c**2) + 7*c**5 - 830 - 2*c**3 + 830.
11*c**5 - 2*c**3
Expand (0*b**2 + 4*b**2 - 6*b**2)*(224 - 51 + 113)*(2*b**3 + b - b).
-1144*b**5
Expand (-2*c + 3*c - 2*c)*((1 - 1 - 1)*(2 - 4 + 1) - 1 + 2 - 2 + (3 - 5 + 0)*(2 - 5 + 1) - 219 - 77 - 70).
362*c
Expand -15 + 25*g**3 + 25 - 5 - 3*g**2 + 3*g**2 - 2*g**3 + 0*g**3 - g**3 + 3*g**3 + (-5*g**3 + 2*g**3 + 4*g**3)*(2 - 2 - 1) + 0*g**3 - 2*g**3 + 4*g**3.
26*g**3 + 5
Expand (-1 + 1 + i)*(-75 - 234 + 45).
-264*i
Expand (-4 + 2 + 5)*(2*i**2 + 13*i + 7 + 16 - 25).
6*i**2 + 39*i - 6
Expand s**4 - 2*s**4 + 2*s**4 + (s + 3 - 3)*(1 - 1 - 2*s**3) + (-3 + 2 + 4)*(0*s**2 + 0*s**2 + 4*s**4).
11*s**4
Expand (-y**4 + 0 + 0)*((-4 + 5 + 1)*(-3 + 6 - 3*y + y) + 79 - 3*y - 79 + (2 - 1 + 1)*(-2*y - y + 2*y)).
9*y**5 - 6*y**4
Expand 0*m - m + m**3 - 2*m**3 + (0*m**3 + 3*m**3 - m**3)*(2 - 2 + 2) - m**3 - 3*m**3 + 6*m**3 - 2*m**3 - 13*m**3 + m**3.
-9*m**3 - m
Expand (-4*p + 4*p - 3*p**2)*(-29*p**2 + 8*p**3 + 29*p**2) - p**5 - p**5 - 3*p**4 + 4*p**5.
-22*p**5 - 3*p**4
Expand (-2*w + 4*w - 4*w + (2 - 2 - 1)*(-w - 4*w + 2*w))*(6*w + 7*w - 7*w).
6*w**2
Expand (-4*z + z**3 + 4*z)*(2*z**2 - 4 + 4) + (z**4 - 5*z**4 + 3*z**4)*(0*z + 7*z - 19*z).
14*z**5
Expand (5 - 4 + 0)*(6*f**5 - 3*f**5 - 2*f**5) + (3*f - 4*f - f)*(-166 + 166 + 63*f**4).
-125*f**5
Expand (53*d - 29*d - 23*d - 37)*(1 + 1 - 4).
-2*d + 74
Expand (-120 - 5*s + 239 - 122)*(3 - 3 - 3*s**3).
15*s**4 + 9*s**3
Expand (-27*x - 15 + 32 - 15)*(4*x - 3*x + x).
-54*x**2 + 4*x
Expand 2*p**3 - p**3 + 0*p**3 | {
"pile_set_name": "DM Mathematics"
} |
when y is divided by 15?
13
Let z be (5 - 0)/((-4)/12). Let b = z + 23. What is the remainder when b is divided by 3?
2
Calculate the remainder when ((-11)/(-4))/((-11)/(-396)) is divided by 20.
19
Let r be 6*(21/6 - 3). Suppose 0 = 5*k - 2*z + 11, 3*z + 11 + 4 = -r*k. Calculate the remainder when 35 is divided by (k/6)/(1/(-24)).
11
Suppose -3*b + 0*b - 2*m = -13, 5*b + 20 = 5*m. Calculate the remainder when 5*b*(-406)/(-35) is divided by 20.
18
Let s(m) = 2*m - 1. Let t be s(2). Suppose 0 = -4*f + t*f + 3. What is the remainder when f/(-12) - (-33)/4 is divided by 5?
3
Let w(b) = b**2. Let z(u) = -u**3 + 8*u**2 + 10*u - 9. Let k be z(9). Suppose k*y - 3 = -3*y. What is the remainder when y is divided by w(1)?
0
Suppose -2*y - 185 = -2*h - y, 3*h = y + 278. What is the remainder when h is divided by 19?
17
Let k = -80 + 96. Let p be ((-1)/1)/(1/3). What is the remainder when k is divided by (p/(-4))/((-1)/(-12))?
7
Let f(k) = -k**2 + 8*k + 11. What is the remainder when f(8) is divided by 6?
5
Let x(h) = -h**2 + 17*h + 56. Suppose 3*y = -2*s + 35, -3*s = 2*s - y - 45. Calculate the remainder when x(18) is divided by s.
8
Let i = 3 + 14. Calculate the remainder when 66 is divided by i.
15
Let g(a) = -2*a**2 - 4*a + 1. Let q be g(-3). Let u(h) = 2*h + 1. Let f be u(q). Let k = f - -15. What is the remainder when 10 is divided by k?
4
Calculate the remainder when (-2 + 1)*(-39 - -8) is divided by 5.
1
Let l(m) = 3*m - 16. What is the remainder when 14 is divided by l(7)?
4
Suppose d - 11 = 3*f, -2*f = -5*d + 25 + 69. What is the remainder when d is divided by 8?
4
Suppose -2*h + 4*m = -2, -13 = -3*h - 2*m + 3*m. Suppose 0*u - h = -5*u. Calculate the remainder when 8 + 2/2 + u is divided by 6.
4
Let m(u) = u**3 - 8*u**2 + 7*u - 4. Let a be m(7). What is the remainder when ((-12)/10)/(((-12)/40)/3) is divided by (a/6)/((-6)/63)?
5
What is the remainder when 2 is divided by ((-51)/(-12) + -4)*4?
0
Let t(n) = 4*n - 4. Suppose -5*j - 34 - 132 = -4*s, 2*j = 4. Let m = s - 30. What is the remainder when m is divided by t(3)?
6
Let w = 3 - 5. Let p = w - -5. Suppose t - p = 1. Calculate the remainder when t is divided by 2.
0
Let h = -6 - -56. Calculate the remainder when h is divided by 18.
14
What is the remainder when 41 is divided by -1*33*8/(-24)?
8
Suppose -3*l = l - 12, 0 = 4*n - 3*l - 11. Calculate the remainder when 18 is divided by n.
3
Suppose 2*o - 3*o + 220 = 0. Suppose 3*f - 75 = -2*h, 5*h - o = f - 2*f. Calculate the remainder when h is divided by 16.
13
Let u = 7 + 9. Let b(h) = h + 1 - 4*h + 0 + 13*h**2. What is the remainder when b(2) is divided by u?
15
Suppose 49 - 19 = 5*g. Let q = g - -25. Calculate the remainder when q is divided by 8.
7
Let o(v) = 3*v**3 - v - 1. Let l be o(-1). Calculate the remainder when (-16)/2*l/6 is divided by 3.
1
Suppose -5 = t - 0. Let y = 10 + t. Calculate the remainder when y is divided by 4.
1
Suppose -2*y = -6*y - 2*w + 52, -3*y = -w - 44. What is the remainder when 67 is divided by y?
11
Let l(y) = -y**2 + 8*y + 14. Let v be l(10). Let o(z) = -z**2 + 7. Let j be o(5). Let t = v - j. What is the remainder when t is divided by 7?
5
Let v(r) = r**3 + 7*r**2 + 2. Let i be v(-7). Let y = 17 - -65. Calculate the remainder when y is divided by 28 + i/8*0.
26
Let i(v) = 11*v - 2. Let p = 86 + -27. What is the remainder when p is divided by i(2)?
19
Suppose q = 2*k + 18, -3*q + 0 = 5*k - 21. Suppose 0 = c - 2*j - 2 - 25, 0 = 3*c - 3*j - 93. Calculate the remainder when c is divided by q.
11
Suppose 0*x - 2*x = -6. Calculate the remainder when (2 - (-3 - 31)) + x is divided by 2 + -1 - -19 - 0.
19
Suppose -3*w = -6*w + 9. Suppose -3*l = 3*g - 36, -w*l + 2*g + 78 = l. Suppose l = 3*z - 2*z. Calculate the remainder when 32 is divided by z.
15
Let d(i) = 2*i + 19. Let h be d(-7). Let s(j) = -2. Let p(l) = -l + 20. Let r(f) = -2*p(f) - 22*s(f). Calculate the remainder when 41 is divided by r(h).
13
Suppose 0*p - 126 = -3*p. Suppose 7*d - 2*d = 55. Calculate the remainder when p is divided by d.
9
Let h(j) be the first derivative of -j**4/4 + 16*j**3/3 - 13*j**2/2 + 14*j - 2. Calculate the remainder when h(15) is divided by 15.
14
Suppose -6*g + 5*g = -28. Calculate the remainder when 139 is divided by g.
27
Suppose -2*l + 10 = -0*l. Suppose l*y = 6*y - 9. Calculate the remainder when y is divided by 5.
4
Suppose -4*p + 5 = -11. Suppose 0 = -z - 3*o - 5, p*z = 5*o - 3 + 34. What is the remainder when 11 is divided by z?
3
Let f be 0 - 3/9*0. Suppose -5*n = -f*n - 320. Suppose 0 = -5*s - 4*t + 158, 0*s - 2*t = 2*s - n. What is the remainder when s is divided by 16?
14
What is the remainder when -3 - ((-2684)/14 - (-2)/(-7)) is divided by 38?
37
Let i be 0/(3/((-3)/(-1))). Suppose i = -2*y + 3*y - 7. Suppose -3*u = -y*u + 16. Calculate the remainder when 14 is divided by u.
2
Suppose 3*w + 4*w = 84. Calculate the remainder when 20 is divided by w.
8
Let u(r) = r**2 + 4*r + 2. Calculate the remainder when 19 is divided by u(-5).
5
Let n(p) = -p**3 + 10*p**2 - 9*p + 5. Let f = -7 + 16. Let t(m) = m**3 + 3*m**2 - 4*m - 4. Calculate the remainder when t(-3) is divided by n(f).
3
Let u = 65 - 51. What is the remainder when 68 is divided by u?
12
Suppose -r + 5*r = 3*q - 24, q + 5*r - 27 = 0. Let n(k) = 5*k**2 + 25*k - 7. What is the remainder when n(-6) is divided by q?
11
Let d(p) = p**3 - p. Let q be d(1). Suppose -5*s + q*s + 50 = 0. Calculate the remainder when 17/((-2)/(-1 - 1)) is divided by s.
7
Let h(o) = 2*o**2 - 20*o + 7. Calculate the remainder when 84 is divided by h(11).
26
Let s = 569 - 276. Suppose 0 = 5*b - s + 83. Calculate the remainder when b is divided by 11.
9
Suppose 4*i = -2*p + 22, 0*i - 3*p = -4*i - 3. Calculate the remainder when (-9 - i)*(-3)/4 is divided by 4.
1
Let r(x) = x**2 - 2*x - 6. Let b be r(6). What is the remainder when (-4)/b - 562/(-18) is divided by (9 - 8)/(2/22)?
9
Let s = -13 + 16. What is the remainder when 6/5*20/s is divided by 3?
2
Let k(x) = -x**3 + 7*x**2 - 6*x + 6. Suppose 4*r = -2*q - 6 + 34, 4*q = 4*r + 92. Suppose 0 = 5*n - q. Calculate the remainder when k(6) is divided by n.
2
Let i(p) = 2*p. Let f be i(1). Suppose 4*d - f*v - 129 = -3*v, 0 = 3*v - 15. Calculate the remainder when d is divided by 11.
9
Let i = 1 - -4. Suppose i*r + 8 = r. Calculate the remainder when (3/r)/((-3)/2) is divided by 1.
0
Let w be 3 + 1 + (8 - 3). Suppose -4*x - 26 = -l, x + 2 = -3. What is the remainder when l is divided by w/(-12) + (-19)/(-4)?
2
Let u = 1 - -1. Suppose 7 = 3*y + 4*i + 1, -5*y + 10 = u*i. What is the remainder when 4 is divided by y?
0
Suppose 4*x - 196 = -x + 2*w, 3*x = -5*w + 99. Calculate the remainder when 127 is divided by x.
13
Let s(n) = n**3 - 7*n**2 - 5*n - 16. What is the remainder when s(8) is divided by 3?
2
Let z(o) = -7*o - 20*o**2 + 37*o**2 + 2 - 18*o**2. Calculate the remainder when z(-6) is divided by 4.
0
Suppose -4 + 1 = -b. Suppose -4*w = -w + 5*y - 10, 0 = b*w - 5*y - 50. Calculate the remainder when (-20)/4*38/(-5) is divided by w.
8
Let p(v) = -6*v + 6. Let k be p(3). Let x = 20 + k. What is the remainder when 13 is divided by x?
5
Suppose 0 = r + 3*r + 4. Let b = 5 + r. Suppose 0*c = -4*c, b*c = -2*s + 20. Calculate the remainder when 28 is divided by s.
8
Suppose -5*a + 28 = -a + 4*t, -a + 17 = -4*t. Calculate the remainder when 35 is divided by a.
8
Let z(c) = c + 60. Let n be z(0). Suppose -n = -2*b - 3*b. What is the remainder when (-5 - -3) + (-37)/(-1) is divided by b?
11
Let u = 27 + -22. What is the remainder when 24 is divided by u?
4
Let f(c) = c**2 - 16*c + 24. Let d be f(16). Suppose 3*m + 5*o - d = 0, m + 2 = -5*o - 0. What is the remainder when 50 is divided by m?
11
Suppose x + x = 4. Suppose x*v + 15 = 3*v. Let c = 108 - 65. What is the remainder when c is divided by v?
13
Let f(g) = 2*g**2 + 1. Calculate the remainder when f(-4) is divided by 12.
9
Let w be ((-8)/(-10))/(12/(-30)). Suppose 2*r + 2 = -22. Calculate the remainder when (-22)/r - w/12 is divided by 1.
0
Suppose 4*x = -12*x + 704. Calculate the remainder when x is divided by 24.
20
Suppose 18 + 5 = 4*w - s, -3*w = 3*s - 36. What is the remainder when 16 is divided by w?
2
Let s = -4 + 5. Calculate the remainder when 2 is divided by s.
0
Suppose 209 = 3*o - 5*g, | {
"pile_set_name": "DM Mathematics"
} |
-37*i**4/12 + 4*i**3/3 + 44*i. What is the second derivative of m(l) wrt l?
-74
Let n = 4 - 1. What is the third derivative of 0*f - f - 3*f**2 + f - n*f**6 wrt f?
-360*f**3
Suppose 4*o - 1 = -5*h + 55, -7 = o - 4*h. Find the second derivative of 3*i**4 + 2*i - 9*i**2 + o*i**2 wrt i.
36*i**2
Let j(q) be the first derivative of 0*q**3 - 3/4*q**4 - 1/2*q**2 + 0*q + 1. Find the second derivative of j(s) wrt s.
-18*s
Let l(z) be the third derivative of z**4/6 + z**3/2 + 9*z**2. Find the first derivative of l(o) wrt o.
4
Find the second derivative of -6*o**4 - 57*o**3 - 3*o - 3*o + 57*o**3 wrt o.
-72*o**2
Let v(q) be the first derivative of 0*q**4 + 0*q - 2/3*q**3 - 3/7*q**7 + 0*q**6 + 0*q**5 + 8 + 0*q**2. Find the third derivative of v(u) wrt u.
-360*u**3
Let c(t) be the first derivative of 35*t**2/2 - 23*t + 27. What is the first derivative of c(x) wrt x?
35
Let x(q) be the first derivative of 0*q + 0*q**3 - 3/2*q**2 - 1/2*q**4 + 4. What is the second derivative of x(t) wrt t?
-12*t
Suppose -4*j + 2*j = 14. Let w(z) = z**3 + 8*z**2 + 6*z - 4. Let d be w(j). Find the second derivative of t**3 + t**3 + 5*t - d*t wrt t.
12*t
Find the second derivative of -4 - 15*o**5 - 2*o**5 + 4 + 4*o wrt o.
-340*o**3
Differentiate 5*y - 15*y + 1 - 3*y + 11 wrt y.
-13
Let f(n) = 2*n. Let o be f(2). Find the second derivative of -3*c - 2*c + 9*c**o + 3*c wrt c.
108*c**2
Let l(c) be the third derivative of c**7/14 + c**5/20 - c**3/6 + 14*c**2. What is the third derivative of l(o) wrt o?
360*o
Find the second derivative of -18*k - 493*k**4 - 1 + 1 + 438*k**4 wrt k.
-660*k**2
Suppose -5*l + l = 0. Suppose -3*k = -l - 15. Find the third derivative of 3*z**2 - 2*z**2 + 6*z**6 - k*z**6 wrt z.
120*z**3
Let l(x) be the third derivative of 0*x**3 + 0*x**6 + 0*x**4 + 7/60*x**5 + 0*x - 7*x**2 - 2/105*x**7 + 0. What is the third derivative of l(d) wrt d?
-96*d
Suppose -5*z = -8 - 2. Let j(d) = d**2 - d - 4. Let y be j(3). Find the second derivative of 0*x - z*x**3 + y*x - 5*x wrt x.
-12*x
Let c(l) be the second derivative of 2*l**7/7 + 8*l**3/3 - 27*l. Find the second derivative of c(n) wrt n.
240*n**3
Let v(l) be the third derivative of 0*l**7 + 0*l**6 + 0*l**4 + 0*l + 2*l**2 + 0*l**3 + 0 + 1/60*l**5 + 1/336*l**8. Find the third derivative of v(h) wrt h.
60*h**2
Differentiate -3*t**2 - t**2 - 5 - t**2 + 8 with respect to t.
-10*t
Find the second derivative of 22*b + 47*b**3 - 9*b - 50*b**3 wrt b.
-18*b
Let g(v) = 48*v + 31. Let z(p) = -47*p - 31. Let u(c) = 4*g(c) + 5*z(c). What is the derivative of u(x) wrt x?
-43
Find the third derivative of -2 + 1 - 9*c**4 + 1 - 2*c**2 wrt c.
-216*c
Let a(v) = 2*v + 1. Let d(n) = -n - 1. Let q(i) = 3*a(i) + 5*d(i). Let c be q(4). What is the first derivative of c*x + x - 2*x - 1 wrt x?
1
Let v(p) be the third derivative of 1/60*p**6 + 0*p**3 + 0*p**5 + 0 + 0*p - p**2 + 1/12*p**4. Find the second derivative of v(g) wrt g.
12*g
Let c(w) be the first derivative of w**7/7 + 25*w**6/3 - w**3 + 12*w + 25. What is the third derivative of c(j) wrt j?
120*j**3 + 3000*j**2
Let f(m) = -9*m**2 + 9. Let a(g) = 28*g**2 - 27. Let o(n) = 2*a(n) + 7*f(n). Find the first derivative of o(k) wrt k.
-14*k
Let r(x) be the first derivative of -7*x**2/2 - 4*x - 5. What is the derivative of r(h) wrt h?
-7
Let z(p) = -2*p - 5. Let g be z(-4). Find the third derivative of 2 + 0*f**3 - 2 + 2*f**2 + 3*f**g wrt f.
18
Let v be (-28)/(-6) + (-4)/6. What is the second derivative of k**5 - k - 5*k**5 - v*k**5 + 6*k**5 wrt k?
-40*k**3
Let a(z) = z**3 + 4*z**2 - 4*z + 4. Let m be a(-5). Let o be 2 + (m + 1)/1. What is the third derivative of -o*p**6 - 2*p**2 + 4*p**6 + 0*p**2 wrt p?
240*p**3
Let c(o) be the third derivative of -2*o**7/21 + 5*o**4/24 - o**2. Find the second derivative of c(w) wrt w.
-240*w**2
Let b(o) = o**2 + 5*o - 1. Let n be 78/(-9) + 4/6. Let t = -13 - n. Let l(m) = -3*m + 1. Let z(u) = t*l(u) - 3*b(u). What is the derivative of z(f) wrt f?
-6*f
Let t = 6 + -2. Suppose -c + 22 = 4*k, 0 = t*c + 3*k - 48 + 12. Find the third derivative of -4*z**6 - 2*z**2 + 0*z**c + 2*z**6 wrt z.
-240*z**3
Let j = -17/2 - -9. Let q(d) be the first derivative of -j*d**2 - 1 + 0*d - 2/3*d**3. What is the second derivative of q(o) wrt o?
-4
Suppose -3 - 9 = -4*n. Differentiate -n*y**4 + 4 - 3 - 3 with respect to y.
-12*y**3
Let y(s) = s**3 + 6*s**2 - 5*s + 5. Let d(x) = 7*x**2 - 6*x + 6. Let h(z) = 5*d(z) - 6*y(z). What is the third derivative of h(t) wrt t?
-36
Differentiate x**3 + x - x + 2 + 5*x**3 with respect to x.
18*x**2
Let i(m) = -m**3 - 11*m**2 - 10*m + 3. Let y be i(-10). What is the second derivative of g**y - 19*g + 15*g + 2*g**3 wrt g?
18*g
Let c = 1 - -2. Suppose 6*r - c*r = 0. What is the second derivative of t + r*t**4 - 2*t + 2*t**4 wrt t?
24*t**2
Let t(w) = -3*w**4 - 4*w + 1. Let q(i) = -6*i**4 - 9*i + 2. Let z(l) = 4*q(l) - 9*t(l). What is the derivative of z(p) wrt p?
12*p**3
Let l(f) be the first derivative of 0*f + 0*f**5 + 3/2*f**2 - 5/6*f**6 + 2 + 0*f**4 + 0*f**3. What is the second derivative of l(w) wrt w?
-100*w**3
Suppose -6 = -4*n - 5*o + 4*o, -3*n - 5*o = 4. Find the first derivative of 3*c - 6*c - 5*c - 5 - n*c wrt c.
-10
Let i(b) be the first derivative of 2/7*b**7 + 0*b**5 + 4/3*b**3 - 3 + 0*b**6 + 0*b**4 + 0*b**2 + 0*b. What is the third derivative of i(d) wrt d?
240*d**3
Let k(m) be the second derivative of 25*m**7/42 + 5*m**3 - 4*m. What is the second derivative of k(y) wrt y?
500*y**3
What is the third derivative of -4*b**4 - 33*b**2 + 43*b**2 - 5*b**5 + 4*b**4 wrt b?
-300*b**2
Let r be (-4 - 0/2)*-2. What is the derivative of -4*v - r + 8 - 2 - 2*v wrt v?
-6
What is the second derivative of -7*k - 18*k**3 + 0*k - k - 2*k wrt k?
-108*k
Let m(x) be the first derivative of 2*x**4 + 2*x**2 - 11. What is the second derivative of m(b) wrt b?
48*b
Suppose 14 = 5*k + 3*h, 0 = 2*h - 5*h + 9. Let s(i) be the first derivative of k + 2/3*i**3 + i + 0*i**2. Differentiate s(x) with respect to x.
4*x
Let a(u) be the third derivative of -u**10/75600 - u**6/360 - u**5/30 - u**2. Let n(r) be the third derivative of a(r). Differentiate n(q) wrt q.
-8*q**3
Differentiate 51 - 10*h**2 + 10*h**2 - 7*h**4 - 9 with respect to h.
-28*h**3
Find the third derivative of 1 + 0*r**3 - 4*r**5 + 29*r**2 - 20*r**2 + 3*r**3 wrt r.
-240*r**2 + 18
Suppose 0 = 6*v - 3*v - 9. Let k(x) be the first derivative of 1/3*x**v + 0*x - 1/2*x**4 + 0*x**2 - 1. What is the third derivative of k(h) wrt h?
-12
Let o = 0 + 2. Find the third derivative of j**6 + o*j**6 + 5*j**2 + 0*j**2 + 0*j**6 wrt j.
360*j**3
Let i = -5 + 1. Let a be ((-4)/i)/((-1)/(-2)). What is the first derivative of -4 + a + 2*z**2 - 4*z**2 - 1 wrt z?
-4*z
Let u be ((-1)/(-3))/((-7)/(-42)). Differentiate -1 + 0*q + 0 + u*q**4 + 0*q wrt q.
8*q**3
Let r = -6 - -11. Let x be (-5)/20*6*-2. Find the third derivative of -3*v**2 + 5*v**x - 4*v**4 - r*v**3 wrt v.
-96*v
What is the derivative of 24 + 37 + 25*t**2 + t**3 + 2*t**3 - 21*t**2 wrt t?
9*t**2 + 8*t
Suppose 28 = -k + 8*k. What is the second derivative of 6*m + m - 3*m**4 + 7*m**k wrt m?
48*m**2
Let v(j) = 2*j**2 - j**3 + 6 + 2*j + 2 - 2. Let c(l) = -6*l + 3*l**3 - 5*l**2 + l - 13 - l**3. Let k(s) = 2*c(s) + 5*v(s). What is the derivative of k(f) wrt f?
-3*f**2
Let o(y) be the third derivative of -y**9/1008 - y**6/90 + y**3/2 - 3*y**2. Let h(b) be the first derivative of o(b). Find the third derivative of h(m) wrt m.
-180*m**2
Let p(q) = -q**4 - q**3 - 1. Let x(a) = 9*a**4 + 4*a**3 - 16. Let o(v) = 4*p(v) + x(v). What is the first derivative of o(r) wrt r?
20*r**3
Let i be (-2)/6 - (-68)/(-12). Let f be -3 + -51*4/i. What is the first derivative of f*w - 31*w + 4*w**4 + 4 wrt w?
16*w**3
Let a(w) be the second derivative of 1/4*w**4 + 0*w**5 + 0 + 0*w**2 - 4*w + 0*w**3 + 1/6*w**6. Find the third derivative of a(g) wrt g.
120*g
Let c(j) = j + 1. Let p(q) be the first derivative of -4*q**2 - 2*q - 1. Let k(i) = 2*c(i) - p(i). What is the first derivative of k(h) wrt h?
10
Let j(n) be the second derivative of 4*n**3/3 + 3*n**2/2 + 3*n. Differentiate j(q) wrt q.
8
Let w = 4 + -7. Let v be 2/6 - 5/w. Find the third derivative of -3*o**v + 0*o**3 + 0*o**2 + o**3 wrt o.
6
Let j = -3 - -8. Let d(s) be the third derivative of -1/6*s**3 + 0*s**4 - 1/30*s**j + 0 + 2*s**2 + 0*s. | {
"pile_set_name": "DM Mathematics"
} |
+ 1812?
1808
In base 8, what is 2 + -5256042?
-5256040
In base 7, what is -5026 - -244?
-4452
In base 3, what is -202112122012 + -11?
-202112122100
In base 9, what is 12836 + 313?
13250
In base 16, what is -2156 - 9?
-215f
In base 16, what is 95 + 494?
529
In base 16, what is -a3 - 1bb?
-25e
In base 7, what is -1422 - 21?
-1443
In base 6, what is 1154 - -210?
1404
In base 2, what is -11 + 1001110110001011001?
1001110110001010110
In base 7, what is -2 + -60334?
-60336
In base 12, what is 2 + 687266?
687268
In base 16, what is -8dcf + 17?
-8db8
In base 6, what is -1323 - -233?
-1050
In base 16, what is -16990 - -d?
-16983
In base 6, what is 12 - 15402?
-15350
In base 5, what is -1003420 + 0?
-1003420
In base 15, what is 56 - -4242?
4298
In base 16, what is -132e7 - 4?
-132eb
In base 15, what is 88 + -616?
-57d
In base 4, what is 1 + 32000301?
32000302
In base 11, what is 57aa + 65?
5864
In base 2, what is -110001010 + 101011101?
-101101
In base 5, what is -200200 + 12?
-200133
In base 13, what is 37 + -b96b?
-b934
In base 15, what is 3 + 11d76?
11d79
In base 8, what is -40077 - -6?
-40071
In base 2, what is -1 + 110001111110000?
110001111101111
In base 11, what is -a9636 - 4?
-a963a
In base 12, what is -2b609b6 - 5?
-2b609bb
In base 5, what is -10324 + -1312?
-12141
In base 5, what is -114341 - 24?
-114420
In base 9, what is 15208 - 55?
15143
In base 16, what is -3 + -ff64?
-ff67
In base 5, what is 2102011 - 20?
2101441
In base 14, what is 15 + 38a8?
38bd
In base 11, what is -2a9 + 13?
-296
In base 16, what is -11ca - -15?
-11b5
In base 11, what is -3948 - 4?
-3951
In base 15, what is 46 - 324?
-2cd
In base 16, what is 6 + -2c36?
-2c30
In base 5, what is -44201300 - 3?
-44201303
In base 7, what is -2 + 510102?
510100
In base 6, what is 143 + -22512?
-22325
In base 16, what is 9abb + -3?
9ab8
In base 14, what is 7 - 6b7?
-6b0
In base 10, what is 3 - 106724?
-106721
In base 7, what is -232 - -134023?
133461
In base 2, what is 1100011 - -10010001?
11110100
In base 2, what is -110101000011 - 10011?
-110101010110
In base 13, what is -1c751 + -2?
-1c753
In base 3, what is 2201121022 - -11?
2201121110
In base 16, what is 1 - 4f1c?
-4f1b
In base 4, what is -321311 + 1011?
-320300
In base 10, what is -5 - 56331?
-56336
In base 11, what is -2 - 8057?
-8059
In base 5, what is 0 - -13101211?
13101211
In base 11, what is 54631 - 4?
54628
In base 13, what is -3 - 16229?
-1622c
In base 16, what is 0 - -2b39?
2b39
In base 13, what is b2b63 + 4?
b2b67
In base 7, what is -124 - 526023?
-526150
In base 15, what is -bada - -3?
-bad7
In base 12, what is -a + -5188?
-5196
In base 12, what is -1603 - 3?
-1606
In base 9, what is -7 - -45735?
45727
In base 4, what is -10023021 - -2?
-10023013
In base 3, what is 2 + -22110210012?
-22110210010
In base 4, what is -10 - 321313113?
-321313123
In base 12, what is 20b22 - -3?
20b25
In base 12, what is -98b5 + -55?
-994a
In base 16, what is 73ad + 5?
73b2
In base 15, what is -3 + -18d89?
-18d8c
In base 14, what is -3 - -286b9?
286b6
In base 7, what is 1100030 + -4?
1100023
In base 9, what is -4 - 175781?
-175785
In base 13, what is 3a159 - c?
3a14a
In base 10, what is 1 - -115538?
115539
In base 15, what is 26 + -4c2?
-49b
In base 11, what is -6313a - 4?
-63143
In base 6, what is 4541310 - 1?
4541305
In base 12, what is 3 - a8942?
-a893b
In base 10, what is -22495 - -1?
-22494
In base 12, what is 711 + 12?
723
In base 11, what is -5 + 221568?
221563
In base 7, what is -2142 + -144?
-2316
In base 15, what is 113b + -9?
1132
In base 8, what is 4 + 5604?
5610
In base 3, what is 222121102201 + -1?
222121102200
In base 11, what is 29a2 - 3?
299a
In base 2, what is 11 - -1100010111101001?
1100010111101100
In base 8, what is -133 - -77?
-34
In base 16, what is 1 - cb3?
-cb2
In base 11, what is -39765 + -5?
-3976a
In base 14, what is ac939 - 2?
ac937
In base 7, what is 205241 - -22?
205263
In base 4, what is -3 + 1000130103?
1000130100
In base 15, what is -522b + -34?
-5260
In base 16, what is -5 + 1a3e1?
1a3dc
In base 4, what is 2232321 - -10?
2232331
In base 5, what is 22404020 - 2?
22404013
In base 9, what is 20 - 5158?
-5138
In base 7, what is 10362 - -52?
10444
In base 8, what is 0 + -37270?
-37270
In base 5, what is -110 - -30?
-30
In base 2, what is 11010 + -1111000110?
-1110101100
In base 6, what is 12530 - -42?
13012
In base 12, what is 24158 - -2?
2415a
In base 9, what is 2 - -13626?
13628
In base 3, what is 1101201001211 + -1?
1101201001210
In base 7, what is -30224 + -13?
-30240
In base 6, what is 3 - 204135?
-204132
In base 6, what is -5 - 14403515?
-14403524
In base 5, what is -132 + 114414?
114232
In base 10, what is 31178 - 2?
31176
In base 9, what is 6 - 34034?
-34027
In base 14, what is 3d741 - -5?
3d746
In base 12, what is -31 - 237?
-268
In base 3, what is 120100101 + 10002?
120110110
In base 8, what is 2 + -1375123?
-1375121
In base 9, what is 163716 - 3?
163713
In base 5, what is 0 + 1211334?
1211334
In base 12, what is -117b75 - -1?
-117b74
In base 10, what is 33628 + -4?
33624
In base 10, what is 11 - 328?
-317
In base 2, what is 1011101111110000 - -10?
1011101111110010
In base 16, what is -133 - -18f1?
17be
In base 9, what is -722 + 31?
-681
In base 16, what is 203 - 56?
1ad
In base 15, what is -5 + -6db?
-6e1
In base 6, what is 0 - 421404?
-421404
In base 13, what is -3 + -7855?
-7858
In base 2, what is 1 - 100101001111000?
-100101001110111
In base 6, what is -33312 + 13?
-33255
In base 3, what is -122 - 10100111211?
-10100112110
In base 7, what is 1136 + -20441?
-16302
In base 16, what is -5 - fef7?
-fefc
In base 9, what is -31537 + 2?
-31535
In base 8, what is 6543 - -44?
6607
In base 9, what is -5 - 325031?
-325036
In base 9, what is -4 + -455743?
-455747
In base 9, what is 55 + 114?
170
In base 3, what is -220 - -221200?
220210
In base 16, what is -2f5 - -9?
-2ec
In base 16, what is -2a87 + -52?
-2ad9
In base 16, what is -5 + -36555?
-3655a
In base 12, what is -22 + -5726?
-5748
In base 15, what is 4 - 6142?
-613d
In base 12, what is 552 + 1063?
15b5
In base 5, what is 3313 + 2?
3320
In base 9, what is -162 + -20?
-182
In base 13, what is -5 + -130c59?
-130c61
In base 16, what is -4d1b + -4?
-4d1f
In base 15, what is 13541 + 5?
13546
In base 15, what is a63 - bb?
997
In base 10, what is 96 + -126?
-30
In base 5, what is -3004402 - 104?
-3010011
In base 5, what is 1 - 2432133?
-2432132
In base 3, what is -20112 + 110222?
20110
In base 3, what is -1 - 211101021202?
-211101021210
In base 9, what is 2 - -111376?
111378
In base 5, what is 14212022 + 1?
14212023
In base 6, what is -12110042 - -2?
-12110040
In base 3, what is -1222 - -11012?
2020
In base 6, what is -14342 - 12?
-14354
In base 11, what is 2 + -73409?
-73407
In base 16, what is -85d92 + 3?
-85d8f
In base 16, what is 0 + 1f6a?
1f6a
In base 6, what is -2 + 144255?
144253
In base 3, what is -210120110 - -11022?
-210102011
In base 4, what is -1221233 + -1033?
-1222332
In base 2, what is -10000 - -11110010?
11100010
In base 7, what is 303343 - -10?
303353
In base 15, what is -b478 - 8?
-b481
In base 7, what is -6 - -122525?
122516
In base 7, what is 1416465 + 3?
1416501
In base 14, what is -18 + -128?
-142
In base 14, what is 36a0 + 171?
3831
In base 11, what is 915 - -65?
97a
In base 5, what is -3013203 + 4?
-3013144
In base 10, what is 265 - 263?
2
In base 3, what is 212 + -220002211?
-220001222
In base 5, what is 23 + -1134320?
-1134242
In base 4, what is 3031202 + 11?
3031213
In base 14, what is 3 + -4994c?
-49949
In base 2, what is 110000010111001 - 11111010?
101111110111111
In base 5, what is 410 + 40313?
41223
In base 2, what is -1111111001101001110 + 1?
-1111111001101001101
In base 2, what is 101100001100011011 + 0?
101100001100011011
In base 10, what is -38 + -6857?
-6895
In base 11, what is 25 - 72310?
-72296
In base 3, what is 22011112010 + -11?
22011111222
In base 6, what is -421455540 - 4?
-421455544
In base 8, what is 13 + 4641?
4654
In base 9, what is -1 - 141182?
-141183
In base 2, what is -10011100011 - -110001?
-10010110010
In base 15, what is 1050 - 44?
100b
In base 7, what is -3 + -341331?
-341334
In base 6, what is 2230202 - 0?
2230202
In base 10, what is -959 - 31?
-990
In base 13, what is -4 - 4839?
-4840
In base 7, what is | {
"pile_set_name": "DM Mathematics"
} |
s of k?
3, 1109
Suppose 0 = -6*h - 178 + 70. Let c be ((-150)/(-4))/1 + (-9)/h. Suppose 39*y = c*y + 111. What are the prime factors of y?
3, 37
Suppose -r - 5*p + 22038 = 0, 611*r - 4*p - 110277 = 606*r. List the prime factors of r.
3, 7351
Let m(w) = 21*w - 2. Let i be m(0). Let z(j) = -69*j + 53. List the prime factors of z(i).
191
Let l be 54/(-7) + 3*4/(-42). Let c(z) = z**3 + 9*z**2 + 10*z + 6. Let y be c(l). What are the prime factors of 8/(-20) + (-594)/y?
59
Suppose 4*k + 2458 - 8538 = 4*b, -6125 = -4*k - 5*b. List the prime factors of k.
5, 61
Let t = 374 + -632. Let s = 564 + t. What are the prime factors of s?
2, 3, 17
Let d(s) = -864*s + 6119. What are the prime factors of d(-57)?
13, 4259
Let a(d) = 70*d + 328. List the prime factors of a(16).
2, 181
Let c be ((-40)/6)/(-5 - (-1398)/279). Let i = -596 - c. List the prime factors of i.
2, 3
Suppose 6*a - 24 = -0*a. Suppose -5*x = -a*p + 31 - 3, 5*p - 22 = 3*x. What are the prime factors of 1336/(-24)*(-6)/p?
167
Let w be 27*1/3 - (1 - 0). Suppose -3*y = -14 + w. List the prime factors of ((-8)/(-4))/(y/29).
29
Suppose -120*s + 125*s - 219335 = -3*z, 0 = -4*s + z + 175485. List the prime factors of s.
2, 5, 41, 107
Suppose 4*h - 2*w = -3*w + 18, 2*h - 18 = 4*w. Let o(j) = -25*j + 3. Let x(f) = -25*f + 3. Let d(q) = -3*o(q) + 2*x(q). List the prime factors of d(h).
2, 61
Let h = 675 + 3031. What are the prime factors of h?
2, 17, 109
Let s(u) = 71*u**2 + 8. Let f be s(4). Suppose 4*b - f = -64. Suppose -3*i = -3*l + b, i = -3*l + 4 + 266. What are the prime factors of l?
2, 3, 5
List the prime factors of 238194/4*(-2)/(-7) - (-1872)/(-2184).
3, 53, 107
Let x = -88 + 67. Let u = x - -453. What are the prime factors of u?
2, 3
Let c(p) = 1289*p**2 - 10*p. List the prime factors of c(1).
1279
Let c be (0 - -2)*(-1737)/(-18). Let i = 520 - c. List the prime factors of i.
3, 109
Let l(p) = 8*p**3 + 3*p**2 + 8*p + 7. Let d(f) = -23*f**3 - 8*f**2 - 25*f - 22. Let n(i) = -6*d(i) - 17*l(i). What are the prime factors of n(7)?
2, 5, 13
Let f = -16143 - -58966. What are the prime factors of f?
11, 17, 229
Suppose 4*j + 5*u - 9007 = 521, -5*j - 3*u = -11923. What are the prime factors of j?
7, 11, 31
Let z(n) = 16*n**2 - 11*n - 39. Let h(p) = 3*p**2 - 2*p - 8. Let t(w) = 4*w - 22. Let r be t(5). Let g(l) = r*z(l) + 11*h(l). List the prime factors of g(5).
3, 5
Let l be (-2*2)/1*(-30)/40. Suppose -5 = v - 5*v - 3*g, 3*g + 30 = l*v. Suppose -4*j = v*a - 18, 4*a + 4*j - 9 - 3 = 0. List the prime factors of a.
2, 3
Suppose -294*u + 291*u = -o + 14757, 3*u = -3*o + 44331. List the prime factors of o.
2, 3, 1231
List the prime factors of 41473748/2041 + (-8)/26.
2, 5, 127
Let j(n) = -67*n - 328. What are the prime factors of j(-61)?
3, 7, 179
Suppose -1 = -5*s + 4*s, -7*s + 2849 = o. List the prime factors of o.
2, 7, 29
Let r = -318 - -316. List the prime factors of 1 + 705/25 + r/10.
29
Suppose -5*k = z - 1055, -2*k + 8969 = 5*z + 3786. Suppose 4*r - 465 = z. List the prime factors of r.
3, 5
Let m(a) be the first derivative of 2*a**3/3 - 17*a**2/2 - 24*a - 26. Let q be m(-11). Suppose 5*k = -25 + q. What are the prime factors of k?
2, 19
Suppose 0 = -62*b + 85*b + 12167. Let w = -418 - b. What are the prime factors of w?
3, 37
Let d(h) = -17*h + 8. Let r be d(4). Let q = r - -74. Let k(v) = v + 18. What are the prime factors of k(q)?
2
Let w = -31 + 11. Let z = w - -22. What are the prime factors of (6 + -2 - 2)*z?
2
Let x = 1286 + -818. Let y be ((-12)/(-10))/(2 - 28/15). Suppose 0 = -12*a + y*a + x. List the prime factors of a.
2, 3, 13
List the prime factors of ((-12)/5)/(47/(7154340/(-24))).
2, 3, 43, 59
Let c(n) be the first derivative of -34 + 2/3*n**3 + 11/2*n**4 - 2*n + 1/2*n**2. What are the prime factors of c(2)?
2, 23
Suppose 3*d + 17*d - 647216 = d. What are the prime factors of d?
2, 2129
Let j(c) = 3244*c**2 - 109*c - 316. List the prime factors of j(-3).
29207
Suppose -b = 5*d - 26038, 2*b + 11 = 7. List the prime factors of d.
2, 3, 7, 31
Let f(d) = d**3 - 2*d**2 - 24*d + 61. Let s be f(16). Suppose -1675 = -8*m + s. What are the prime factors of m?
617
Suppose -4*g = -2*g + 136. Let s = g - -883. List the prime factors of s.
5, 163
Let g = -305 + 1030. Let t = g + -406. What are the prime factors of t?
11, 29
Let l(a) = 49*a + 31. Let t be l(5). Let y = 463 - t. What are the prime factors of y?
11, 17
Let l = 3460 + -1891. What are the prime factors of l?
3, 523
Suppose 182*h - 51*h = 5504882. List the prime factors of h.
2, 21011
Suppose 53*w - 51*w = 2*f - 2744, 3*f - 4112 = 4*w. List the prime factors of f.
2, 43
Let l(s) = 3*s**3 - 30*s**2 + 7*s - 55. List the prime factors of l(20).
5, 2417
Suppose -15*i - 211325 = -94*i. What are the prime factors of i?
5, 107
Let u = 46344 - 17527. List the prime factors of u.
28817
Let v be 4*(-3 + 4) - 0/14. Suppose p = n - 3*n + 1158, 5*n + v*p = 2895. What are the prime factors of n?
3, 193
Suppose -675 = 10*h - 195. What are the prime factors of (-16)/6*2232/h?
2, 31
Let f = 33 - 11. Suppose -5*y + 25 = 2*w - w, 2*w + 3*y = f. Suppose -w*z + 7 = 2*u - 121, 187 = 3*u + 5*z. What are the prime factors of u?
59
Suppose 28*p + l = 30*p - 93, 2*l - 78 = -2*p. Suppose -3*t = -2*q + 2088, -3*q - p*t + 3125 = -45*t. List the prime factors of q.
3, 347
Let w(s) = 11 - 16*s + 4 - 5 - s**2 + 0. Let x be (3/(-2))/(1/6). What are the prime factors of w(x)?
73
Suppose -25*b = -18*b - 35. Suppose -b*r + 0*r + 5*c + 835 = 0, -2*c - 6 = 0. What are the prime factors of r?
2, 41
Let l(n) = -448*n + 2227. List the prime factors of l(-53).
3, 11, 787
Let v(o) = -o**3 - 7*o**2 - 8*o - 26. Suppose 0 = 10*m - 4*m + 36. Let d be v(m). List the prime factors of d/(-49) + (-1564)/(-14).
2, 7
Let c be (-371267)/(-39) - (-3 + (-16)/(-6)). Suppose 88*w = 102*w - c. List the prime factors of w.
2, 5, 17
Suppose -5865*a + 5860*a = 4*r - 96056, -2*r + a = -48028. List the prime factors of r.
2, 12007
List the prime factors of 467608/14 + 950/665.
2, 3, 19, 293
Let s be 8*17/(8 - 7). Let b = -437 + 707. Let w = b - s. List the prime factors of w.
2, 67
Let p(z) = 38*z - 5. Let q be p(2). Suppose -q - 14 = 5*w. Let u = 5 - w. List the prime factors of u.
2, 11
Let u = -25186 - -52808. What are the prime factors of u?
2, 7, 1973
Let p(c) be the first derivative of -c**3/3 - 6*c**2 - 29*c - 9. Let t be p(-5). List the prime factors of t/12*2*31.
31
Let p(r) = 6*r**2 + 12*r - 12 - 22*r + 5*r. Let a(f) = -6*f**2 + 4*f + 13. Let h(k) = 2*a(k) + 3*p(k). What are the prime factors of h(-4)?
2, 3, 19
Suppose 4*x - 1237 = -3*q - 144, q = -2*x + 365. What are the prime factors of q?
3, 11
Suppose -4*d + 2*w + 16 = 0, d + 18*w - 1 = 17*w. Suppose -d*n + j + 0*j = -197, j + 132 = 2*n. List the prime factors of n.
5, 13
Let j = -62 - -66. Suppose 0 = -j*h + 8*h - 20. Suppose -h*q = -118 - 22. List the prime factors of q.
2, 7
Let m(c) = -c**3 + 4*c**2 + 4. Let t be m(0). Suppose w - 5*p - 349 = 0, -t*p - 191 - 519 = -2*w. List the prime factors of w.
359
Let k = 8 + -4. Suppose 195 = k*o - 49. Suppose 50 = 3*n - o. What are the prime factors of n?
37
Let g(n) = -n**3 - 5*n**2 + 285*n + 11. List the prime factors of g(-36).
29927
Let o be (80/32)/(3/(-774) - 0). Let c = o + 1167. What are the prime factors of c?
2, 3, 29
Suppose 5*q + 6 = -x + 4*x, x + 4*q = 2. Let a be x*2 - 35/10*-62. Let g = -84 + a. List the prime factors of g.
137
Suppose -6*k + 2*k = 2*s, s + k = 1. Suppose 0 = -o + 5, -3*o = -4*n + s*n + 667. List the prime factors of n.
11, 31
Let h = -118 + 123. Suppose 0*k = -h*u + 2*k + 4507, k = 3*u - 2705. What are the prime factors of u?
3, 7, 43
Suppose -3566*y + 225460 = 3*d - 3562*y, 3*d - 225476 = -2*y. What are the prime factors of d?
2, 19, 23, 43
Let g be (-1)/((-8 + 4 - -3)/3). Suppose 0 = 4*w - g*n - 499, -3*w = 2*n - 473 + 120. What are the prime factors of w?
11
Suppose 4*b = 20, 3*b - 77 = 3*h - 95. Suppose 3*q - l - 912 = 0, -1216 = -4*q - h*l + 15*l. List the prime factors of q.
2, 19
Suppose c + 121 = 1124. Let r = c + -536. List the prime factors of r.
467
Let n be (-4)/(-1) + 1 - (46 - 38). Let o be 27/(1*(0 + 1)). What are the prime factors of ((-50)/n)/(18/o)?
5
Suppose -s = 5 - 2. List the prime factors of ((-9)/(-27))/(s*(-1)/3411).
379
Suppos | {
"pile_set_name": "DM Mathematics"
} |
- 4)*(i + 1)
Let i(g) be the first derivative of 9801/14*g**2 + 99/7*g**3 - 9 + 107811/7*g + 3/28*g**4. Factor i(r).
3*(r + 33)**3/7
Let y(i) = 4135*i + 16543. Let n be y(-4). Find k, given that 5/2*k**2 + 1/2*k**5 - 3/2*k**n - 1/2*k**4 - k + 0 = 0.
-2, 0, 1
Let u(r) = -29*r + 23. Let z be u(-6). Let k = z - 391/2. Factor 0 - c + k*c**2 - 1/2*c**3.
-c*(c - 2)*(c - 1)/2
Suppose -2*i - 3*d = -1, i = -i - 4*d - 4. Suppose 0 = i*z - 563 + 195. Factor -92*v - 3*v**2 - 13*v**2 + 48*v + z*v.
-2*v*(8*v - 1)
Let x(c) = c - 26. Let d be x(29). Factor -44*j**4 + 20*j**d - 10*j**2 - j + 8*j**4 - 53*j**3.
-j*(3*j + 1)**2*(4*j + 1)
Determine k so that 404*k - 2835 - 2925 + 5352 + 4*k**2 = 0.
-102, 1
Let c(j) be the first derivative of -3*j**4/16 - 317*j**3/2 - 74889*j**2/2 + 151686*j + 3265. Let c(p) = 0. What is p?
-318, 2
Suppose 45 = -2*x + 6*h - 3*h, 0 = 3*x + h + 95. Let c be ((-128)/(-60))/((12/x)/(-1)). Factor -1/3 + 4/3*j**5 + 25/3*j**3 + 7/3*j - c*j**4 - 19/3*j**2.
(j - 1)**3*(2*j - 1)**2/3
Let m(c) be the second derivative of -c**5/10 - 431*c**4/2 - 185761*c**3 - 80062991*c**2 + 278*c. Solve m(u) = 0 for u.
-431
Let l = 65815/148023 - 3/16447. Let -2/9*f**4 + 2/3*f**2 - l + 2/9*f**3 - 2/9*f = 0. Calculate f.
-1, 1, 2
Let f(k) = -8*k + 2. Let w be f(0). Factor 20*h + 9*h**3 - 18*h - w*h + 3*h**2.
3*h**2*(3*h + 1)
Let p(k) be the first derivative of k**6/8 - 57*k**5/20 + 99*k**4/16 + 19*k**3/4 - 51*k**2/4 + 499. Find i, given that p(i) = 0.
-1, 0, 1, 2, 17
Let v be 28/84 - 5*(-2)/6. Factor -104*p - 7*p**3 + p**4 + 44*p**v + 64*p - 7*p**3.
p*(p - 10)*(p - 2)**2
Let z(y) = 2*y**2 - 6*y - 8. Let d be z(5). Suppose -3 = 11*t - d*t. Suppose 12*v**2 + 131 - 131 + t*v**5 + 18*v**4 + 27*v**3 = 0. What is v?
-4, -1, 0
Factor 34/7*d**2 - 158/7*d - 2/7*d**3 + 18.
-2*(d - 9)*(d - 7)*(d - 1)/7
Let o(i) be the second derivative of 0*i**2 + 1/45*i**4 - 30 - 2/225*i**6 + 0*i**5 + 1/315*i**7 - 1/45*i**3 - i. Suppose o(y) = 0. Calculate y.
-1, 0, 1
Let m(k) be the first derivative of k**3/2 - 2133*k**2 + 3033126*k + 4736. Factor m(d).
3*(d - 1422)**2/2
Let v(x) = -5*x**4 - 98*x**3 + 600*x**2 - 1289*x + 898. Let k(p) = -5*p**4 - 96*p**3 + 600*p**2 - 1288*p + 896. Let o(h) = -9*k(h) + 8*v(h). Factor o(s).
5*(s - 2)**3*(s + 22)
Factor 50 + 2/9*s**2 - 452/9*s.
2*(s - 225)*(s - 1)/9
Let r(m) be the second derivative of m**8/672 + m**7/84 - m**6/240 - m**5/24 - 49*m**2/2 - 67*m. Let p(s) be the first derivative of r(s). Factor p(w).
w**2*(w - 1)*(w + 1)*(w + 5)/2
Determine c, given that 4232/3 + 8/3*c**3 + 246*c**2 + 5704*c = 0.
-46, -1/4
Factor -56/5*c**2 - 78*c - 612/5 + 2/5*c**3.
2*(c - 34)*(c + 3)**2/5
Let g = -301862 - -301862. Factor 0 + g*w**3 + 0*w + 7*w**4 - 4/7*w**2.
w**2*(7*w - 2)*(7*w + 2)/7
Let r(m) = 692*m**3 + 2077*m**2 + 1408*m + 5. Let c(q) = -690*q**3 - 2070*q**2 - 1408*q - 4. Let v(a) = 3*c(a) + 4*r(a). Factor v(p).
2*(p + 1)*(p + 2)*(349*p + 2)
Let k(n) be the second derivative of n**6/10 + 6*n**5/5 + 6*n**4 + 16*n**3 + 24*n**2 - 1164*n. What is u in k(u) = 0?
-2
Let t(b) be the third derivative of b**6/240 - 13*b**5/60 + 27*b**4/16 + 42*b**3 + 3298*b**2. Find w such that t(w) = 0.
-3, 8, 21
Let o(a) be the first derivative of 0*a - 18*a**2 + 1/6*a**3 + 26 - 1/120*a**6 - 1/8*a**4 + 1/20*a**5. Let l(m) be the second derivative of o(m). Factor l(g).
-(g - 1)**3
Let n(d) be the first derivative of -16 - 5/18*d**3 - 5*d + 35/12*d**2. Factor n(s).
-5*(s - 6)*(s - 1)/6
Determine o, given that -7*o**2 - o**2 + 228 - 8*o**2 + 33*o**2 + 4*o**2 - 411*o = 0.
4/7, 19
Determine p, given that 39/2*p + 124 + 1/2*p**2 = 0.
-31, -8
Let u(p) = -p**3 - 23*p**2 - 2*p - 44. Let w be (-2 + 1)/(1/23). Let n be u(w). Factor 7*o**2 - 4*o**n + 7*o**2 - 2*o**2 - 4*o**3.
-4*o**2*(o - 2)
Let o(d) = 37*d**2 - 18*d - 4. Let i be -1*(-2 + 3 + (-30)/(-6)). Let n(a) = 13*a**2 - 6*a - 1. Let y(x) = i*o(x) + 17*n(x). What is g in y(g) = 0?
-1, 7
Let t be (-60534)/2394 + 0 + 27. Let v = 0 - -2. Factor -20/7*a**v + t*a + 0.
-4*a*(5*a - 3)/7
Solve 8620/7*j + 5/7*j**4 - 308 - 9147/7*j**2 + 2678/7*j**3 = 0.
-539, 2/5, 1, 2
Let x(g) be the second derivative of -1/30*g**3 + 0*g**6 + 5*g + 1/50*g**5 + 0*g**2 + 12 - 1/210*g**7 + 0*g**4. Factor x(m).
-m*(m - 1)**2*(m + 1)**2/5
Let i(o) be the third derivative of -o**8/112 + 3*o**7/5 - 79*o**6/40 - 21*o**5/10 + 10*o**4 - 720*o**2 - o - 1. Suppose i(t) = 0. Calculate t.
-1, 0, 1, 2, 40
Let w(l) be the second derivative of l**7/126 - 16*l**6/9 + 2079*l**5/20 + 729*l**4/2 + 205*l - 2. Solve w(q) = 0.
-2, 0, 81
Let p be (2 - (2 - -1)) + 3. Find c such that -1944 - 29393*c**3 + 1926*c**3 - 19980*c - 40258*c**3 + 17640*c**4 - 66930*c**p - 1029*c**5 = 0.
-2/7, 9
Let v(c) = 6*c**3 - 1077*c**2 + 95034*c + 96117. Let x(a) = a**3 - 2*a**2 - 5*a - 2. Let t(h) = -v(h) + 3*x(h). Determine r so that t(r) = 0.
-1, 179
Let r be 1172/(-29007) + ((-1)/5 - (-57)/135). Solve 20/11*d**2 + 0*d + 24/11*d**4 + r*d**5 + 42/11*d**3 + 0 = 0.
-10, -1, 0
Let x(p) be the third derivative of -p**6/15 - 11*p**5/30 + 4*p**4/3 + 44*p**3/3 + p**2 - 3*p - 291. What is n in x(n) = 0?
-11/4, -2, 2
Let u(p) be the second derivative of 3/80*p**6 + 5/4*p**4 + 2 + p**2 + 32*p - 7/20*p**5 - 2*p**3. Factor u(s).
(s - 2)**3*(9*s - 2)/8
Let m be ((-120)/(-18))/((-5)/(-15)). Factor 1132*i + 45 - 1172*i - m*i**3 - 92*i**2 - 13.
-4*(i + 1)*(i + 4)*(5*i - 2)
Let u = -6/98593 + 197240/887337. Let n be ((-6)/(-8))/(27/8). Solve -u*r**2 - n*r**3 + 2/9*r + 2/9 = 0 for r.
-1, 1
Let b(p) = 4*p**2 - 5*p + 5. Let f be b(1). Let u = -4 + 15. Suppose -12*g**f + 8*g**2 + 29*g**3 + 2*g**3 - u*g**3 = 0. What is g?
-1/3, 0, 2
Let m = -2969 + 32679/11. Let v(q) be the first derivative of -12/11*q**3 - 2/55*q**5 - m*q**2 + 39 - 16/11*q - 7/22*q**4. Suppose v(o) = 0. What is o?
-2, -1
Suppose 0 = -4*x - 16, -3 = -y + 4*x + 15. Determine i, given that -2*i**5 - 63*i**2 - 21*i**4 - 72*i - 19*i**2 - 8*i**3 + i**4 - 66*i**3 - 38*i**y = 0.
-3, -2, 0
Let t be ((-96)/(-112))/(8/(-28)). Let a be 4/t*(-6)/16. Find m, given that 0*m - a*m**4 - 1/4*m**3 + 0 + 1/2*m**2 + 1/4*m**5 = 0.
-1, 0, 1, 2
Suppose -14*h + 19*h - 4*n = 39, 5*n = 5*h - 35. Let c(v) = -v**2 + 17*v - 63. Let t be c(h). Factor -4 + 7/4*r**2 - 1/4*r**t - 2*r.
-(r - 4)**2*(r + 1)/4
Let a(r) be the second derivative of r**7/168 - 41*r**6/30 + 9073*r**5/80 - 29187*r**4/8 + 26973*r**3/2 - 19683*r**2 + 2434*r. Factor a(d).
(d - 54)**3*(d - 1)**2/4
Let s(u) be the third derivative of -u**7/630 + 7*u**6/270 - 31*u**5/540 - 5*u**4/108 + 8*u**3/27 + u**2 + 46*u. Solve s(r) = 0 for r.
-2/3, 1, 8
Let a(b) = -8*b - 8. Suppose y + 31 = -2*d - 2*y, d = -y - 13. Let k be a(d). Factor 7*m**2 - m**2 + 2*m**2 - 2 - k*m + 50*m.
2*(m - 1)*(4*m + 1)
Let y(o) be the first derivative of o**7/2520 - o**6/360 + o**5/180 - 20*o**3/3 + o - 29. Let h(x) be the third derivative of y(x). Factor h(t).
t*(t - 2)*(t - 1)/3
Let y = 16032/56105 + -2/56105. Solve -y*a**2 + 15/7*a - 1/7*a**3 + 36/7 = 0 for a.
-3, 4
Let d = 3711 + -3685. Let g(u) be the first derivative of 1/11*u**2 + 0*u + d - 2/33*u**3. What is l in g(l) = 0?
0, 1
Let a(k) be the first derivative of 0*k**2 + 2/35*k**5 + 181 - 2/21*k**3 + 5/42*k**6 - 5/28*k**4 + 0*k. Let a(u) = 0. Calculate u.
-1, -2/5, 0, 1
Let l(v) = v**3 - 19*v**2 - 252*v + 42. Let f be l(28). Let u be (2/f)/((-8)/(-24)). Factor u*t**2 + 16/7*t + 64/7.
(t + 8)**2/7
Let a(r) be the third derivative of -r**6/1200 + r**5/300 - 8*r**2 + 13. Determine z so that a(z) = 0.
0, 2
Let a = 10480 - 10452. Let r(l) be the first derivative of -5*l**2 - a - l**5 + 0*l + 25/3*l**3 + 5/6*l**6 - 15/4*l**4. Factor r(h).
5*h*(h - 1)**3*(h + 2)
Let b(y) be the third derivative of -y**6/6 + y**5/2 - 35*y**4/24 - y**2 + 70*y. Let q(m) = -m**3 + m**2 - m. Let o(f) = -b(f) + 25*q(f). Factor o(c).
-5*c*(c - 1)*(c + 2)
Let j(x) be the third derivative of 0*x - 1/180*x**5 - 93*x**2 + 0*x**3 + 0 + 1/144*x**4 + 1/720*x**6. Find a, given that j(a) = 0.
0, 1
Let a(y) be the first derivative of -97/9*y**3 - 1/15*y**5 - 48*y + 36 - 11/6*y**4 + 44*y**2. Factor a(f).
-(f - 1)**2*(f + 12)**2/3
Suppose -4*o - 3*r - 3 = -9*o, 5*o - 5*r + 5 = 0. Let w = -2/55087 - -1267007/165261. Factor -4/3 - w*b**2 - 20/3*b - 7/3*b**o.
-(b + 1)*(b + 2)*(7*b + 2)/3
Let o(n) = 29*n**2 - 802*n - 316. Let z(f) = | {
"pile_set_name": "DM Mathematics"
} |
late h*z(c) - 6*v(c).
c
Let v(y) = 2*y + 7*y**2 + 5 - 2*y - 2*y - 4*y. Let c(j) = 20*j**2 - 17*j + 14. Determine 6*c(k) - 17*v(k).
k**2 - 1
Let q(j) = -2*j**2 - 5*j - 3. Let s(v) = -2*v**2 + 56*v - 62*v + 2 - 6. Determine -6*q(z) + 5*s(z).
2*z**2 - 2
Let o(r) = -r + 1. Suppose 3*g = -4*i + 11, 30 = 5*g - 8*i + 3*i. Let z(m) = -6*m + 2. What is g*o(q) - z(q)?
q + 3
Let d(j) = -2*j**3 + j - 6. Let x(s) = -3*s**3 + s - 7. Determine -5*d(v) + 4*x(v).
-2*v**3 - v + 2
Suppose 0 = 4*o + 64 - 56. Let m(g) = 2*g**2 + 2*g + 5. Let k(j) = j**2 + j + 4. Determine o*m(n) + 3*k(n).
-n**2 - n + 2
Let o(j) = j - 1. Let q(b) = 7. What is 4*o(u) + q(u)?
4*u + 3
Let v(z) = z**2. Let h(j) = 12*j**2 - 3. Calculate h(d) - 2*v(d).
10*d**2 - 3
Let i(b) = -17*b + 19. Let v(k) = -8*k + 9. What is -4*i(q) + 9*v(q)?
-4*q + 5
Let j(x) = 2 + x + 5*x - 12*x. Let q(a) = a. Calculate j(t) + 4*q(t).
-2*t + 2
Let l(s) be the first derivative of s**4/4 - s**3 - 37. Let r(p) = p**3 - 2*p**2. What is 5*l(o) - 7*r(o)?
-2*o**3 - o**2
Let a(r) = -19. Let k(z) = -z**2 - z + 75. What is -9*a(l) - 2*k(l)?
2*l**2 + 2*l + 21
Let c(k) = 6*k**2 - 5*k + 7. Let q(r) = -2*r**3 - 3*r**2 - 2*r - 3. Let h be q(-2). Let v(y) = -5*y**2 + 4*y - 6. Give h*v(l) + 4*c(l).
-l**2 - 2
Let g(y) be the first derivative of y**3/3 - y**2/2 + y - 6. Let t(j) = 7*j**2 - 3*j + 6. Give -6*g(c) + t(c).
c**2 + 3*c
Let t(c) = 1 + 0*c - 2 + c**2 - 3*c. Let q be ((-6)/4)/((-10)/((-360)/(-27))). Let m(z) = -6*z**2 + 16*z + 6. What is q*m(o) + 11*t(o)?
-o**2 - o + 1
Let d(c) = 15*c**3 - 3*c**2 + 3. Let x(j) = -30*j**3 + 7*j**2 - 7. Determine -7*d(m) - 3*x(m).
-15*m**3
Let b(x) be the first derivative of -7*x**2/2 - 6*x - 13. Let a(r) = 8*r + 7. What is 5*a(t) + 6*b(t)?
-2*t - 1
Let f(i) = -i**3 + 34*i**2 - 34*i + 32. Let x be f(33). Let g(t) = 1. Let u(l) = 2*l**2 - 5. Determine x*g(a) - u(a).
-2*a**2 + 4
Let p(j) = -2*j**2 + 4*j - 3. Let n = 57 + -58. Let z(v) = -v + 1. Calculate n*p(x) - 3*z(x).
2*x**2 - x
Let a(u) = -9*u - 19. Suppose -5*y + 0 = -15. Suppose c - p = y*c - 7, 0 = 3*c - 4*p - 38. Let v(s) = 4*s + 9. Give c*a(t) + 13*v(t).
-2*t + 3
Suppose -30 = -4*j - 2. Let v(g) = -7*g**2 - 9*g - 3. Suppose 2*u = 4*u - 10. Let z(r) = 0*r + 4*r**2 + 4 + 6*r**2 + 13*r. Give j*v(l) + u*z(l).
l**2 + 2*l - 1
Let f(v) be the second derivative of -1/2*v**2 - 1/6*v**3 + 2*v - 1/12*v**4 + 0. Let y(w) = 3*w**2 + w. Give 2*f(l) + y(l).
l**2 - l - 2
Let o(a) = 6*a**2 + 7. Suppose -56 = 3*z - 10*z. Let d(g) = 4*g**2 + 5. Give z*d(q) - 5*o(q).
2*q**2 + 5
Let s(u) = -u + 2. Let r(t) = t + 11. Let c(j) = 2*j + 17. Let w(o) = -5*c(o) + 8*r(o). Calculate -3*s(g) + 2*w(g).
-g
Let j(q) = 9*q + 1. Let a(x) = -17*x - 3. Determine 2*a(u) + 5*j(u).
11*u - 1
Let v(g) = 2*g + 6. Let y = -17 - -12. Let b(p) = -2*p - 5. Give y*v(f) - 6*b(f).
2*f
Let x(z) = -z**2 + 1. Let i(t) = -7*t**2 - t + 4. Suppose 18 = 3*f - 0*f. Determine f*x(d) - i(d).
d**2 + d + 2
Let o(b) = -17*b + 1. Let i(q) = -1. What is i(s) + o(s)?
-17*s
Let f(q) = -26*q**3 + 6*q**2 + 5. Let j(v) = -53*v**3 + 13*v**2 + 11. Determine 13*f(l) - 6*j(l).
-20*l**3 - 1
Let a(f) = -39*f - 20 + 26*f + 4. Let y(g) = 9*g + 11. What is 5*a(c) + 7*y(c)?
-2*c - 3
Let f(t) = t**3 - 2*t + 2. Let q(y) = -11 + 2*y**3 + 16*y - 5*y - 8*y**3. Let b = 17 - 28. Let x be -5 - -1 - (-2 - 0). Give b*f(z) + x*q(z).
z**3
Let s(o) = 1785*o + 140. Let y(z) = 38*z + 3. Give 3*s(b) - 140*y(b).
35*b
Let j(n) = -2*n**3 + 4*n**2 - 2*n. Let z(l) be the second derivative of 3*l**5/20 - 5*l**4/12 + l**3/2 - 20*l - 1. Calculate -5*j(x) - 4*z(x).
-2*x**3 - 2*x
Let t(v) be the first derivative of -2*v**2 + 2/3*v**3 + 5 + 0*v. Let a(k) = 6*k**2 - 13*k. Calculate 2*a(y) - 7*t(y).
-2*y**2 + 2*y
Let n(b) = -b - 1. Let q(p) = -p - 8. Determine -6*n(u) + q(u).
5*u - 2
Let g(h) = -7*h + 4. Let y(j) = -j. What is g(s) - 4*y(s)?
-3*s + 4
Let t(j) = j**2 + 6*j + 2. Let n(f) = -f**2 + f - 1. Let y(s) = -2*n(s) + t(s). Let l(m) = 4*m**2 + 5*m + 5. Calculate -4*l(u) + 5*y(u).
-u**2
Let y(d) be the first derivative of d**3/3 - 2*d**2 + 2*d + 28. Let b(q) = q**2 - 3*q + 2. Give 4*b(u) - 3*y(u).
u**2 + 2
Let z(w) = -7*w**2 - 5*w. Let x(l) = -3*l**2 - 2*l. What is -5*x(d) + 2*z(d)?
d**2
Let c(b) = 4*b - 1. Let a(n) = 7*n - 2. Give 3*a(g) - 7*c(g).
-7*g + 1
Let b(x) = -x - 1. Let c(r) = -r**3 + 2*r**2 + r + 4. Let w be c(3). Let s(j) = -3*j + 2. Let o(u) = 4*u - 2. Let d(n) = -5*o(n) - 6*s(n). Give w*d(f) + 5*b(f).
-f - 1
Let d(a) = -a**2 + 2*a + 5. Let g(i) = i - 1. What is -d(c) - 5*g(c)?
c**2 - 7*c
Let g(u) = 5*u + 4. Let n be 9 + -6 - 21/(-1). Suppose -k + 0*k = -4*h - 20, -k + 5*h + n = 0. Let p(i) = -i - 1. Determine k*p(s) + g(s).
s
Let q(t) = 3*t - 5. Let r(d) = 2*d - 3. Suppose -6*l = -8*l + 6. What is l*q(f) - 5*r(f)?
-f
Let t(a) = -2*a - 6. Let k(o) = o + 3. Calculate -13*k(z) - 6*t(z).
-z - 3
Let j(b) = b**2 + 7*b. Let z(o) = 3*o**2 + 13*o. Calculate -5*j(h) + 2*z(h).
h**2 - 9*h
Let c(o) = -196*o + 1 + 196*o + o**2. Let v(w) = -4*w**2 - 2*w - 4. Calculate 3*c(k) + v(k).
-k**2 - 2*k - 1
Let a be (4 - -2)*1/2. Let l(m) = m**a - 3*m**2 - m**2 - m**2 + 3*m**2. Let d(p) = -p**3 + p**2 - 1. What is -2*d(b) - l(b)?
b**3 + 2
Let n(m) = -5*m + 89. Let g(u) = 2*u - 45. Calculate 9*g(k) + 4*n(k).
-2*k - 49
Let q(b) = 6*b + 2. Let j(c) = -c. Let o(n) = -21*j(n) - 3*q(n). Let l(r) = -2*r + 4. Determine 7*l(f) + 5*o(f).
f - 2
Let o(n) = n**3 - n**2 + n. Let i(h) = 44*h**3 - 8*h**2 + 10*h. What is i(b) - 10*o(b)?
34*b**3 + 2*b**2
Let i be 12/5 + (-2)/5. Let u(d) = 6*d**3 + 4 - 4 + 1592*d**2 - 1576*d**2. Let y(j) = -j**3 - 3*j**2. What is i*u(p) + 11*y(p)?
p**3 - p**2
Let p be (3 + -4)/1 + 8*-1. Let l(d) = -2*d - 9. Let g(k) be the second derivative of k**3/6 + 2*k**2 + 2*k. Determine p*g(b) - 4*l(b).
-b
Let w(a) = 5 - 8*a - 2*a**3 - 3*a**3 + 6 - 11*a**2. Let k(d) = 2*d**3 + 4*d**2 + 3*d - 4. Calculate -8*k(b) - 3*w(b).
-b**3 + b**2 - 1
Let s(m) = -m + 43. Let b(p) = -p + 65. What is -5*b(d) + 8*s(d)?
-3*d + 19
Let v(f) = 2*f**3 + 4*f**2 + 5*f. Let p(q) be the second derivative of -q**5/10 - q**4/4 - 2*q**3/3 - 17*q. Determine -6*p(a) - 5*v(a).
2*a**3 - 2*a**2 - a
Let c(n) = -n**2 + n. Let k(x) = 27*x**2 - 24*x. Determine 72*c(i) + 3*k(i).
9*i**2
Let w = -34 - -40. Let a = 4 + 1. Let p(b) = b. Let y(g) = -g. Let m(c) = a*p(c) + 6*y(c). Let t(v) = -7*v - 1. Determine w*m(o) - t(o).
o + 1
Let z(s) = 16*s**3 + 7*s**2 + 3*s + 6. Let y(u) = -5*u**3 - 2*u**2 - u - 2. Determine -7*y(m) - 2*z(m).
3*m**3 + m + 2
Let l(m) = -3*m - 2. Let x(u) = -10*u - 6. Let d = -12 - -28. What is d*l(j) - 5*x(j)?
2*j - 2
Let u(d) = 2*d**2 + 3*d. Suppose -i = -4*s + 9, 3*i + 10 - 5 = s. Let v(z) = 2*z + z - 2*z. Give i*u(r) + 2*v(r).
-2*r**2 - r
Let v(p) = -132*p**2 - 5*p + 5. Let h(d) = -66*d**2 - 3*d + 3. Calculate -5*h(a) + 3*v(a).
-66*a**2
Let x(m) = m**3 - 12*m**2 - 4. Let s be (-9)/45 + (-122)/(-10). Let o be x(s). Let k(g) = g**2 + 4. Let p(d) = 1 + 3 + 1 + d**2. What is o*p(b) + 5*k(b)?
b**2
Let z(v) = 4*v**2 - 3. Let s(r) = -5*r**2 - r + 4. Let n(o) = o**3 + 8*o**2 - 2. Let g be n(-8). What is g*s(l) - 3*z(l)?
-2*l**2 + 2*l + 1
Let z(f) = -f**3 - 7*f**2 - 4*f - 3. Let i be z(-6). Let y be (-4)/(-10) - 84/i. Let d(t) = 7*t**2 - 8*t + 6. Let k(x) = -x**2 + x - 1. Calculate y*k(c) + d(c).
c**2 - 2*c
Suppose 0 = -2*u + 3*i - 5, 0 = -5*u - 3*i - 22 + 62. Let z(m) = -5*m + 6. Let q(w) = 3*w - 4. What is u*z(h) + 8*q(h)?
-h - 2
Let c(b) = -3*b**2. Let d(v) = 7*v**2 + v + 1. Give 5*c(p) + 2*d(p).
-p**2 + 2*p + 2
Suppose -3*j = -3 - 12. Suppose j*h - 8 - 32 = 0. Suppose 4*z = 8*z + h. Let k(p) = 4*p. Let a(r) = 21*r. Calculate z*a(y) + 11*k(y).
2*y
Suppose -13 = -2*i - y - 2*y, 2*i - 5*y - 5 = 0. Let r(v) = 5*v**3 + 2*v**2 + 4*v. Let b(o) = 4*o**3 - o**2 + 18 + 3*o**2 - 18 + 3*o. Calculate i*r(t) - 6*b(t).
t**3 - 2*t**2 + 2*t
Let x(h) = 2*h - 12. Suppose 2*g + 32 = -g - 2*s, 5*s = 4*g + 58. Let o(p) = 2. Calculate g*o(d) - 2*x(d).
-4*d
Let f(v) = -2*v**2. Let d be (3 - -1) + -1 + -1. Suppose -d*w - 26 = 6. Let z(q) = 6*q**2. Give w*f(a) - 5*z(a).
2*a**2
Let g(u) = 2*u + 1. Let r(s) be the third derivative of -s**4/8 - s**3/3 - 5*s**2. What is 5*g(b) + 4*r(b)?
-2*b - 3
Let g(z) = -4*z**3 - 2*z**2 - z. Let l(n) = 7*n**3 + 4*n**2 + 2*n. Give -11*g(k) - 6*l(k).
2*k** | {
"pile_set_name": "DM Mathematics"
} |
Let k be c(-12). Let g(n) = 7*n**2 + 3*n + 4. Let t(z) = 9*z**2 + z + 3. Let a(d) = -4*g(d) + 3*t(d). Give a(k).
7
Let s(w) = w**3 - 74*w**2 + 66*w + 517. Let z be s(73). Let h(q) = q**2 - 2. Give h(z).
34
Let u(m) = m**3 + 40*m**2 - 42*m - 52. Let g = -19536 + 19495. What is u(g)?
-11
Let o(p) = p**3 + p**2 - 23*p + 21. Let w be o(1). Let s(x) = x + 6. Determine s(w).
6
Let d(u) = 4*u + 47. Let n be d(23). Suppose -k + n = 42. Let t(i) = 61*i - k*i + 58*i. Give t(1).
22
Let w(q) = q**2 - 24*q - 80. Suppose -3*y = 3*x - 69, -3*y = 65 - 53. Give w(x).
1
Let v(n) = n + 12. Let c be -38 + (-8 - -11) - (0 + -4 - 3). What is v(c)?
-16
Let s(w) = -w**3 + 9*w**2 - 7*w - 1. Let y be ((-56)/77)/((-9)/99). Give s(y).
7
Let f(a) = a + 10. Suppose -19*i = -21*i + 4. Suppose -i + 101 = -9*y. Calculate f(y).
-1
Suppose j - 6*j = -140. Suppose 4*a - j = -2*h, 2*h - 7*h + 10 = -2*a. Suppose 4*c + k = 3, 4*c + a - 13 = 4*k. Let m(i) = 9*i + 1. What is m(c)?
10
Let i(s) = -2*s**3 + 6*s**2 - 14*s. Let r(v) = -v**3 + 7*v**2 - 13*v - 1. Let c(x) = 2*i(x) - 3*r(x). Let a = -12 + 2. Give c(a).
-7
Let d(z) = 39*z - 5. Let n = 15131 + -15130. Calculate d(n).
34
Let r = -16 - -17. Let h be r - (3 + (-16)/4). Let p(c) = -c. Let b(f) = 11*f - 3. Let t(o) = -b(o) - 6*p(o). Determine t(h).
-7
Let o(q) be the second derivative of 2 + 1/12*q**4 + 3/2*q**3 + 14*q - 5*q**2. What is o(-10)?
0
Let a(i) = i + 2. Let d be 576/80 + 4/5. Suppose -3*o = -d*o - 10. Let c(m) = -5*m**2 - 7*m - 4. Let p be c(o). Determine a(p).
-8
Let l(v) be the second derivative of v**3/6 + 3*v**2/2 + 367*v. Let p be 10/(-4)*(-14)/35. Suppose p - 19 = -6*i. Give l(i).
6
Let w(d) be the second derivative of -d**4/12 + d**3/6 + 13*d**2/2 - 4322*d. Calculate w(3).
7
Let t(q) be the first derivative of -q**4/4 + 3*q - 1. Suppose 3*s = 3*m, -15*s = -11*s - 8*s + m. Calculate t(s).
3
Let k be (2/(-6))/((-7)/21). Let f(g) = -k - 11 + g - 5 + 23. Determine f(-10).
-4
Let m(x) = -3*x**2 - 7*x - 9. Let b(h) = -4*h**2 - 6*h - 8. Let p(v) = 4*b(v) - 5*m(v). Suppose -2222*k + 2271*k = 490. What is p(k)?
23
Let x(j) = j + 6. Let r(v) = v**3 + 28*v**2 - 4*v - 107. Let p be r(-28). Suppose 25 = -p*t - 10. Calculate x(t).
-1
Let t be -9 + (126 + -127)/(2/(-20)). Let l(a) = -8*a**2 + a + 1. What is l(t)?
-6
Suppose 7*m - p = 57, 5*p + 0 = -4*m + 27. Let j(k) = -35*k + 281. What is j(m)?
1
Let s(g) = g + 689. Let u(p) = -111. Let d(j) = -s(j) - 6*u(j). Calculate d(-11).
-12
Let g be 1 + 24/8 + 7. Suppose i + i = 3*v, 0 = -v - 3*i + g. Let u(b) = -b**2 + 2*b + 1. Calculate u(v).
1
Let f(n) be the second derivative of -n**5/20 - n**4/6 + n**3/3 + n**2 + n. Suppose b = 3*h + 213, -3*b + 0*b = 2*h - 606. Let s = b + -202. What is f(s)?
-10
Let a(t) = 17 - 243*t**2 - 113*t**2 + 361*t**2 - t. Give a(5).
137
Let r(i) = -i**2 + 7*i - 6. Let v be ((-392)/(-84))/((-1)/(-30)). Suppose 16*f - v = -28. Determine r(f).
-6
Suppose -g = 4 - 2. Let m = -2 - g. Let z(t) = -38*t**3 + t**2 + 26*t + 20. Let w(s) = 41*s**3 - s**2 - 28*s - 22. Let o(q) = 13*w(q) + 14*z(q). Determine o(m).
-6
Let g(l) = 3*l - 10. Let z(k) = 5*k - 15. Suppose 10*u - 62 = -552. Let s be (-1 - u/14)/(1/2). Let w(p) = s*z(p) - 8*g(p). What is w(0)?
5
Let d(q) = -3*q**2 - 8*q - 5. Suppose -5*r = -5*w - 90, 3*r + 3*w - 44 = w. Suppose 44 + 36 = -r*u. What is d(u)?
-40
Let f(g) = -49 + 94 - 44. Let c(d) = d**2 - 6*d - 2. Let h(l) = c(l) - 3*f(l). Let u be 54/8 - 3/(-12). Give h(u).
2
Let x(l) = l**3 - 26*l**2 + 24*l + 23. Let y = -453 - -478. Determine x(y).
-2
Let h be (-11 + 13)/(4/10) - 1. Let k(c) = 2 + 4 - 8 + h + c. What is k(1)?
3
Let g(y) be the second derivative of -y**2/2 + 7*y. Let t(d) be the third derivative of d**4/12 - 5*d**3/6 - 7*d**2. Let c(f) = -4*g(f) + t(f). Give c(-4).
-9
Let n(v) be the first derivative of -v**2 + v**2 + 132 - v**2 + 11*v + 8*v + 0*v. Give n(7).
5
Let v(o) = -o - 12. Suppose -2*x + 5*b = -5, -3*x = 2*x + 3*b + 3. Suppose 4*s - 12 = x, -3*l - 5*s + 5 = 8. Determine v(l).
-6
Let z(o) = -o**2 - 7*o - 6. Let k = 185 + -123. Suppose k*x + 45 = 53*x. Give z(x).
4
Let n(f) be the second derivative of -f**5/20 + 5*f**4/12 - f**3/2 + 6*f**2 - 559*f. What is n(5)?
-3
Suppose 72*r - 12 = 71*r. Let u be (3/r)/((-8)/(-32)). Let m(q) = -1. Let p(x) = -2*x**2 + 4. Let j(w) = -3*m(w) - p(w). What is j(u)?
1
Let d(z) = 27*z**3 - 37*z**2 + 40*z - 4. Let l(b) = -11*b**3 + 20*b**2 - 21*b. Let n(w) = -2*d(w) - 5*l(w). Give n(25).
8
Suppose -40 = 5*a + 5*y, -144 + 154 = -2*a - 5*y. Let f(z) = z**3 + 9*z**2 - 11*z - 4. Give f(a).
6
Let c(b) = b + 115. Let h(x) = -36*x - 690. Let o(q) = -6*c(q) - h(q). Suppose v = -v + 2. Give o(v).
30
Let z(s) be the first derivative of -3*s**2 - 134 - 1/3*s**3 + 0*s. What is z(-4)?
8
Let w(s) be the third derivative of s**6/120 + 7*s**5/30 + 5*s**4/12 - 8*s**3/3 + 28*s**2 + 24*s. Determine w(-13).
23
Suppose 3*y + 22 = 52. Let x(t) = -53*t + 23*t + 31*t + 7. What is x(y)?
17
Let r = 984 + -980. Let w(n) be the third derivative of 0*n**3 + 12*n**2 + 0 - 1/24*n**r + 0*n. What is w(5)?
-5
Let d(f) = -7*f**3 - 5*f - 5. Let y(v) = 0 - 1 - 2*v + 10*v - v**3 - 9*v. Let n(b) = d(b) - 6*y(b). Suppose 8*s - 3*s = 5*r + 10, 3 = -2*r + s. What is n(r)?
1
Let y(w) = -8357 + 3*w - 8367 + 16735. Calculate y(-5).
-4
Let k(i) = -22*i**3 + 26*i**2 - 23*i - 103. Let f(x) = 3*x**3 - x**2 + 4*x + 1. Let d(v) = -7*f(v) - k(v). Calculate d(19).
1
Let c(i) = -20*i + 53. Let w(k) = -384*k + 1011. Let v(q) = 39*c(q) - 2*w(q). What is v(3)?
9
Let f be (-3)/(-6) + (-5)/(50/(-5035)). Let n = 513 - f. Let i(x) = -x**2 + 6*x + 7. Determine i(n).
-20
Let p(k) = -4*k + k + 1 - k**2 - k. Suppose -21 = 159*s - 156*s. What is p(s)?
-20
Let v be 4/((-28)/(-91)) - (41 - 16). Let x(b) = b**3 + 13*b**2 + 6*b - 75. What is x(v)?
-3
Let n(z) = -5*z**2 + 47*z + 3. Let w(b) = 2*b**2 - 26*b - 2. Let x(s) = -3*n(s) - 7*w(s). Give x(-41).
5
Let f(r) = -1518*r**2 + 6*r - 7*r + 764*r**2 + 753*r**2 - 1. Calculate f(2).
-7
Let u be (-684)/117 - 2/(-39)*-3. Let w be 2 - (2/(-1) + 2 - u). Let z(y) = y + 2. Let s(p) = -2*p - 4. Let v(q) = 2*s(q) + 5*z(q). Give v(w).
-2
Let h(m) be the third derivative of -3*m**5/40 + m**4/4 + 175*m**3/6 - 58*m**2. Let j(t) be the first derivative of h(t). What is j(5)?
-39
Let l = 18 - 8. Let t(i) = 11*i**2 - 88*i + 92. Let y(m) = 5*m**2 - 40*m + 41. Let f(v) = -9*t(v) + 20*y(v). What is f(l)?
12
Suppose -21*o + 24*o + 75 = 0. Let x be ((-2)/5)/2 + (-55)/o. Let m(d) = 7*d - 5*d + 3*d - 1 + x*d - 2*d**2. Determine m(5).
-16
Let r(p) = 287*p**2 - 278*p - 286*p**2 + 276*p - 5. Calculate r(8).
43
Suppose 0 = -23*u + 30 + 108. Let s(n) = 4*n - n - 2735 - u*n**2 + 2732 + n**3 - n. What is s(6)?
9
Let l be 0 - (-14 + 2 + -4). Let b = -20 + l. Let w(h) be the second derivative of -h**5/20 - h**4/3 - h**3/2 - 5*h**2/2 + 3*h - 13. Give w(b).
7
Let f(u) = 7*u**3 - 2*u - 1. Suppose -8*w = -5*w + w. Suppose -c + l = w, -c - 4*l + 18 = 4*c. Let s = c - 3. Give f(s).
-6
Let y(g) = 2*g - g - 4 - 8*g + g + 5*g. Determine y(2).
-6
Let l(r) = -3*r**2 + 6 + 21 - r**3 - r**2 + 11 - 68. Determine l(-6).
42
Suppose -4*x - 33 = -k, 33*x - 5*k + 60 = 28*x. Let z(c) = -c - 3. What is z(x)?
4
Let k = -88 + 95. Let v(i) = 6*i + 6. Let a(h) = 5*h + 5. Let q(o) = -7*a(o) + 6*v(o). Let z(s) = 3*s - 6. Let l(f) = 2*q(f) - z(f). Determine l(k).
1
Let n(v) be the second derivative of v**5/60 - v**4/12 - 67*v**2/2 - 39*v - 2. Let m(r) be the first derivative of n(r). Determine m(2).
0
Let s(q) = -q**3 - 7*q**2 - q - 4. Let c = -80 - -80. Suppose 5*d - 15 = c, -3*d = -2*j - j - 30. What is s(j)?
3
Let p(x) = -6*x**2 + 4*x**3 - 3*x**3 + 0 - x**2 + 1. Let g be p(7). Let l(u) = 13*u**2 + 27*u**2 - u - 41*u**2 + 23*u**2. Determine l(g).
21
Suppose 2*v + 432 = -6*v. Let d = 55 + v. Let a = d - 2. Let s(w) = -6*w**2. Calculate s(a).
-6
Let u(n) = 8*n + 121. Suppose 0 = p + 3*z - 33 + 59, 184 = -12*p - 4*z. Determine u(p).
9
Let b(g) = -7*g - 25. Suppose -5*a + w = 39, 0 = -73*a + 76*a - 4*w + 20. Calculate b(a).
31
Let k be 42/2 + 612/(-51). Let l(p) = p**2 - 6*p - 1. Give l(k).
26
Let a(w) = -w**2 - w - 1. Let u(b) = -b**3 + 4*b**2 + 3*b + 5. Let f(o) = a(o) + u(o). Let i(t) = -t**2 - 10*t - 20. Let v be i(-4). Determine f(v).
-4
Let v(c) = -c**3 + 9*c**2 - 9*c - 4. Let z | {
"pile_set_name": "DM Mathematics"
} |
e the second derivative of -31*m**3/6 + 13*m. Let u(b) = 2*b. Calculate r(u(l)).
-62*l
Let b(o) = 3*o**2. Let x be (3 - (2 + -3)) + 0. Let p(s) = -x*s + 4*s - 2*s + s. Determine b(p(g)).
3*g**2
Let x(k) = -353*k**2. Let p(m) = 2*m. What is x(p(d))?
-1412*d**2
Suppose 4 = 2*i - 0*i. Let o(l) = 2*l**i + 2*l**2 + 2*l**2 - 5*l**2. Let a(x) = 4*x**2. Determine a(o(f)).
4*f**4
Let j(c) = -2*c. Let x(i) be the third derivative of i**5/12 + 9*i**2. Determine x(j(w)).
20*w**2
Let z(f) = 3*f**2 - 3. Let k(q) = 13*q**2. Give k(z(j)).
117*j**4 - 234*j**2 + 117
Let s(q) = -q**2. Let g(i) = 8*i + 4. Let u(y) = -9*y - 5. Suppose -15 = 2*h + h. Let l(w) = h*g(w) - 4*u(w). Give l(s(n)).
4*n**2
Let p(i) = -23*i. Let r(d) be the first derivative of -d**2 - 13. What is p(r(l))?
46*l
Let m(b) = -4*b. Let q(a) be the third derivative of -a**5/20 - 3*a**2. What is q(m(f))?
-48*f**2
Let i(t) = 3*t. Let c(j) = 360*j. Give c(i(m)).
1080*m
Let h(s) = 119*s**2. Let r(m) = -m. Give h(r(t)).
119*t**2
Let k(m) = -2*m. Let g(h) = -27*h**2 + 6 - 6. Give k(g(a)).
54*a**2
Let o(n) = -6*n + 5. Let y(x) = -9*x + 7. Let d(a) = -7*o(a) + 5*y(a). Let p(b) = 5*b - 3*b + 0*b + b. What is d(p(r))?
-9*r
Let s(z) = -908 + 908 + 0*z**2 - 2*z**2. Let o(b) = 5*b**2 + 6*b. Let k(l) = -4*l**2 - 5*l. Let g(v) = 6*k(v) + 5*o(v). What is s(g(w))?
-2*w**4
Let z(s) = -627*s + 17. Let x(y) = 2*y**2. Determine z(x(p)).
-1254*p**2 + 17
Let g(h) = 125*h - 42*h - 42*h - 39*h. Let w(a) = 5*a + 3. Calculate g(w(z)).
10*z + 6
Let a(u) be the second derivative of -5*u**4/4 + 2*u. Let j(z) = -3*z**2 - 4*z. Let m(b) = -4*b**2 - 5*b. Let w(t) = 5*j(t) - 4*m(t). Give a(w(i)).
-15*i**4
Let g(o) be the third derivative of -o**4/8 - 8*o**2. Let u(m) = -3*m**2. Determine u(g(q)).
-27*q**2
Let f(r) = 3*r - 3*r - r. Let o(k) = 4*k + 5. Let w(l) = 20*l + 24. Let h(t) = -24*o(t) + 5*w(t). Calculate f(h(y)).
-4*y
Let d(h) = -2*h**2. Let m be (-16)/(-56)*7/24. Let l(s) be the second derivative of -s + 0 + 0*s**3 + 0*s**2 - m*s**4. Determine l(d(p)).
-4*p**4
Let y(w) = 11*w**2. Let z(b) = 39*b. Determine z(y(d)).
429*d**2
Let p(c) = -1 + c - 4 - 2*c. Let u be p(-7). Let d(r) = u + r**2 + 1 - 3. Let k(y) = -y. Determine d(k(z)).
z**2
Suppose 6*v = -v + 49. Let s(g) = 2*g + v*g - 7*g. Let o(w) = w**2. Calculate o(s(k)).
4*k**2
Let o(h) = -h. Suppose -8*c = -3*c. Let b(r) be the third derivative of 0*r**3 + 0 - 1/20*r**5 - r**2 + 0*r + c*r**4. Calculate o(b(d)).
3*d**2
Let n(r) be the third derivative of r**5/60 - 2*r**2. Let o(u) be the second derivative of -u**3/3 + 7*u. Calculate n(o(m)).
4*m**2
Let r(x) = x**2. Let f(h) = 4*h + 3. Let i(a) = 8*a + 8. Let d(y) = 7*y + 7. Let p(g) = 7*d(g) - 6*i(g). Let b(w) = f(w) - 3*p(w). Determine b(r(n)).
n**2
Let k(g) = -3*g**2 - 1 + 1. Suppose -7 - 3 = -5*o. Let a(j) = 3*j**2 - 4*j**2 + 2*j**2 - o*j**2. Determine a(k(i)).
-9*i**4
Let y(h) = 13*h**2. Let b(o) be the third derivative of -o**4/24 + 32*o**2. Determine b(y(n)).
-13*n**2
Let a(l) = -2*l. Let y(q) be the second derivative of q**7/840 + q**4/2 - 3*q. Let s(o) be the third derivative of y(o). What is s(a(c))?
12*c**2
Let l(p) = -7*p**2. Let y(x) = 4*x**2 - 2*x - 2. Suppose -4*a = -5*a + 2. Let q(g) = -g**2 + g + 1. Let n(b) = a*q(b) + y(b). What is l(n(w))?
-28*w**4
Let l(p) = -4*p. Let k(b) = -b + 2. Let o(a) = -3. Let n(j) = j**3 - 10*j**2 - 11*j + 3. Let c be n(11). Let s(g) = c*k(g) + 2*o(g). Give l(s(r)).
12*r
Let p(s) = 1. Let z(g) = -g**2 - 5. Let k(b) = -5*p(b) - z(b). Let n(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + 3*r + 1/12*r**4. Give n(k(t)).
t**4
Let s(v) be the third derivative of 8*v**2 + 0 + 0*v**3 + 0*v - 1/60*v**5 + 0*v**4. Let q(y) be the first derivative of -y**2/2 - 1. Give q(s(i)).
i**2
Let s(p) = p - 3. Let o(t) = t - 4. Let k(n) = 3*o(n) - 4*s(n). Let v = 19 + -6. Let i(c) = -c + c + 9*c - v*c. Give k(i(r)).
4*r
Let v(g) = g**2. Let i(z) = -5*z**2 - 5*z**2 + 6*z**2 - 5*z**2. Calculate i(v(b)).
-9*b**4
Let y(n) = -n**2. Suppose -4*c + 43 - 11 = 2*h, -c = 3*h - 8. Let p(x) = c*x - 9*x + 0*x. Determine y(p(s)).
-s**2
Let z(t) = -t + 5. Let a(r) = -1. Let h(x) = -5*a(x) - z(x). Let i(y) = -38*y. What is h(i(j))?
-38*j
Let m(w) be the third derivative of w**5/30 + 15*w**2. Let i(y) = -30*y**2. What is m(i(x))?
1800*x**4
Let m(p) = 6 - 1 - p**2 - 5. Let u(j) = -5*j**2 + 3*j. Let x(b) = 5*b**2 - 4*b. Let g(k) = 4*u(k) + 3*x(k). What is g(m(y))?
-5*y**4
Let t(k) = 19187*k. Let h(a) = 3*a**2. Determine h(t(b)).
1104422907*b**2
Let b(m) = m**2 + 2*m + 2. Let u(j) = -j**2 - 3*j - 3. Let y(c) = 6*b(c) + 4*u(c). Let g(o) = 10*o + 9*o + 0*o. Give y(g(z)).
722*z**2
Let l(b) = b**2. Suppose 4*u = u + 6. Let h(z) = -z**u + z**2 + z**2. Calculate h(l(d)).
d**4
Let f(d) = -d**2. Let r(m) = -4*m + 5. Let o(g) = -2*g + 2. Suppose 2*q = 7*q - 25. Let a(t) = q*o(t) - 2*r(t). Give f(a(w)).
-4*w**2
Let q(f) = 3*f**2. Let t(j) be the second derivative of j**4/12 + j. Calculate q(t(d)).
3*d**4
Let q(a) = -20*a**2. Let z(i) = 0*i - 3*i - 4*i + 9*i. Determine q(z(v)).
-80*v**2
Let o(z) = 2*z**2. Let k(t) = -25 + 17 - 5*t + 8. What is o(k(j))?
50*j**2
Let k(o) = o + 7. Let f(r) = -9*r. Give k(f(s)).
-9*s + 7
Let h(l) be the third derivative of -l**5/30 - 4*l**2. Let f(v) = 4*v + 3 - v - 3 + 2. Let q(o) = -4*o - 3. Let j(u) = -3*f(u) - 2*q(u). Determine j(h(c)).
2*c**2
Let d(o) = -o**2 - 11*o + 3. Let g be d(-11). Let y(i) be the second derivative of 3*i + 0*i**2 + 0 - 1/6*i**g. Let c(k) = 3*k. Give y(c(z)).
-3*z
Let z(o) = -6*o. Let k(w) = 3*w - 20. Calculate k(z(m)).
-18*m - 20
Let x(v) be the third derivative of v**4/12 - 25*v**3/6 + 18*v**2. Let i(d) = -d. Determine x(i(k)).
-2*k - 25
Let u(a) = a**3 - 4*a**2 - 4*a + 5. Let d be u(5). Let q(v) = -2*v + 10. Let o(j) = 1. Let i(z) = d*o(z) - q(z). Let s(g) = 13*g**2. Determine i(s(x)).
26*x**2
Let z(w) = -3*w. Let c(x) = 10*x**2 + 761*x. What is c(z(t))?
90*t**2 - 2283*t
Let j(o) = -2*o. Let f(i) be the third derivative of -i**8/10080 + i**5/30 + 2*i**2. Let c(t) be the third derivative of f(t). Give j(c(u)).
4*u**2
Let i(z) = -z. Let f(a) = 8859*a**2. Determine f(i(g)).
8859*g**2
Let y(t) = 2*t. Let o(m) be the first derivative of 2*m**3/3 - 1. Determine o(y(n)).
8*n**2
Let p(i) = -28*i. Let r(h) = -288*h**2. Determine p(r(d)).
8064*d**2
Let k(i) = -5*i + 0 + 4*i + 0. Let g(y) = 0 + 2*y**2 + 0. Calculate k(g(z)).
-2*z**2
Let q(y) = 3*y**2. Suppose -a = -4*i - 2*a + 62, -4*i + 4*a + 72 = 0. Let h(o) = -i*o + 32*o - 15*o. Give h(q(v)).
3*v**2
Let s(h) be the first derivative of 53*h**3/3 - h - 23. Let t(r) = -2*r. Give t(s(z)).
-106*z**2 + 2
Suppose -7*p + 12 = -3*p. Let j(k) = -4*k**2 + p*k**2 + 0*k**2. Let m(f) = 2*f**2. Determine m(j(g)).
2*g**4
Let n(b) be the second derivative of -b**4/2 + 6*b + 2. Let w(i) = -10*i**2. What is w(n(f))?
-360*f**4
Let o(i) be the first derivative of i**2/2 - 8. Let l(q) be the third derivative of -q**5/30 - q**2. Calculate l(o(t)).
-2*t**2
Let c(x) be the first derivative of 1/2*x**2 + 0*x - 1. Let k(r) = -13*r**2. Determine k(c(t)).
-13*t**2
Let l(j) = -19*j**2 + 4. Let w(o) = 96*o**2 - 21. Let t(r) = -21*l(r) - 4*w(r). Let g(f) = -4*f. Calculate g(t(x)).
-60*x**2
Let c(x) = 301*x + 2. Let l(b) = -b. Give c(l(i)).
-301*i + 2
Let y(b) = -4 - 2*b + 4. Let q = 7 + -2. Let v(h) = -3*h + 0*h + 0*h + q*h. Determine y(v(i)).
-4*i
Suppose 4*k = 4*g + 24, k = -g - 0 - 2. Let h(l) = k*l - 3*l + 3*l. Let m(v) = 2*v. Determine h(m(c)).
4*c
Let x(n) be the second derivative of -n**7/630 + n**4/4 + 3*n. Let c(k) be the third derivative of x(k). Let t(a) = 0*a - 2*a + 3*a. Determine t(c(r)).
-4*r**2
Let b(n) = 364*n**2. Let g(u) = u. Determine g(b(p)).
364*p**2
Let o(t) = t + 150. Let g(k) = 2*k. Give o(g(d)).
2*d + 150
Let d(i) = -9*i + 10*i - 9*i. Let o(m) = 5*m**2. What is d(o(x))?
-40*x**2
Let l(c) = -c. Let k(g) be the third derivative of g**4/2 - 32*g**2. Give k(l(t)).
-12*t
Let v(s) = 22*s - 7*s - 19*s - 16*s. Let d(a) = -a**2. Calculate d(v(p)).
-400*p**2
Let q(u) = -21*u + 1. Let r(a) = a. Calculate r(q(y)).
-21*y + 1
Let d(f) = -6*f - 9 + 9 + 14*f. Let c(r) = -2*r. Calculate c(d(j)).
-16*j
Let t(z) = -11*z + 2. Let f(m) = m. Give f(t(j)).
-11*j + 2
Let i(n) = n**2. Let m(k) = 68*k**2 - 51*k. Let c(r) = r**2 - r. Let l(p) = -51*c(p) | {
"pile_set_name": "DM Mathematics"
} |
3*p + (3 - 3 - 2)*(4*p + p - 6*p) + (p - 2*p - p)*(-1 - 1 + 3) - 202*p + 222*p - 895*p.
-870*p
Expand ((4 - 5 - 2)*(1 + 0 + 0) + 62 + 92 + 7)*(-3*o - 2*o + 3*o).
-316*o
Expand (17*s - 9*s + 41*s)*(-2*s - 2*s + s) + 8*s**2 - 8*s**2 + s**2 + s.
-146*s**2 + s
Expand ((-2 - 1 + 4)*(3 + 0 - 1) + 0 - 6 + 3)*(50437 - 50437 + 74*f**3) + 3 - 4*f**3 - 3.
-78*f**3
Expand 2 + 6*b**3 - 2 - b**3 + 6*b**3 + 6*b**3 + (2*b + b - 2*b)*(-2*b**2 + 0*b**2 + b**2) + 0*b**3 - 2*b**3 + b**3 + 0*b**3 + 5*b**3 + 7*b**3.
27*b**3
Expand (7*a**2 + 87 + 91 - 174 + (-2*a - 3*a + 4*a)*(5*a - 3*a - 4*a) + 2*a - a**2 - 2*a)*(3 - 2*a - 3 + (-2*a - a + 5*a)*(-2 - 1 + 5)).
16*a**3 + 8*a
Expand r**2 + r**4 - r**2 + (-159*r + 159*r + 162*r**2)*(3*r**2 + 5*r**2 - 6*r**2).
325*r**4
Expand (57 - 9 - 6)*(22*r**3 + 14*r**3 - 35*r**3)*(-7*r + 2*r + 3*r).
-84*r**4
Expand (2 - 3 - 1)*(14 - 2*c - 14)*(16*c + 32*c + 17*c + 5*c**4).
20*c**5 + 260*c**2
Expand (-2*w**2 - 3*w**2 + 4*w**2)*(5 - 2 + 1 + (3 - 1 + 0)*(-20 + 76 + 14)) + (2*w + 0 + 0)*(2*w + w - 4*w).
-146*w**2
Expand (-16*h**3 - 14*h**3 + 29*h**3)*(1609*h**2 + 1630*h**2 - 3343*h**2).
104*h**5
Expand (857*d - 588*d + 460*d)*(2*d + 2*d**2 - 2*d).
1458*d**3
Expand (-20 + 77 + 22 + 60)*(-21*b - 20*b - 4*b).
-6255*b
Expand 58*u**5 - 296641*u - 56*u**5 + 299173*u + (u**3 + 3 - 3)*(-2*u**2 + 1 - 1) + u**2 - u**2 - 3*u**5.
-3*u**5 + 2532*u
Expand -2*i**4 - 19310*i**5 + 0*i**4 + 18707*i**5 + (2*i**4 + 0*i**4 - 4*i**4)*(-5*i + i + 3*i) - i**5 + 0*i**5 + 2*i**5.
-600*i**5 - 2*i**4
Expand ((-3*v - 3*v + 7*v)*(3 + 4 - 5) - 10 - 122*v + 124*v + 5)*(5 - 3 - 9)*(0*v**3 - v**4 + 0*v**3).
28*v**5 - 35*v**4
Expand 0*p**3 + 4*p**3 - 2*p**3 + (228*p**2 + 964*p**2 + 328*p**2)*(2 + 1 + 5*p - 3*p)*(11 + 3 + 3).
51682*p**3 + 77520*p**2
Expand ((-5*t**3 + 4*t**3 + 3*t**3)*(-4*t - 5*t + 3*t) + 3*t**4 + 6*t**3 - 6*t**3 + t**4 + 7*t - 3*t**4 - 3*t)*(-2 + 5 - 4).
11*t**4 - 4*t
Expand (-2*a + 0*a + a)*(-3*a + 1 - 1) + (3 - 4 + 2)*(3 - a**2 - 3) + 670*a**2 + 415*a - 392*a - 719*a**2.
-47*a**2 + 23*a
Expand (18*r - 22 - 11*r + 0 + r)*(7312 - 7312 + 20*r).
160*r**2 - 440*r
Expand (2*l**2 - 6*l**2 + 2*l**2 + (-3*l + 3*l - 2*l)*(3*l - 2*l + 0*l) + 0*l**2 - l**2 + 0*l**2 + (1 - 1 + l)*(1 - 1 - l))*(248*l**2 - 129*l**2 + 137*l**2).
-1536*l**4
Expand (-2 - 3 + 4)*(-u + 4*u - 4*u) + 1884*u + 1442 - 1442.
1885*u
Expand -4*g**3 + 5 - 1 - 3 + (4*g**2 - 4*g**2 + 2*g**2 + (-3*g + 4*g + 0*g)*(-g + g + g))*(3 + 1 - 1)*(3*g - 2*g - 4*g).
-31*g**3 + 1
Expand 21*c - 3*c + c + (1 + 1 - 4)*(0*c - 2*c + c) + 1 - 1 + 3*c - c - c + c + 0*c - 2*c + c.
22*c
Expand -12*y**2 + 10*y**2 + 10*y**2 + 3*y**2 + y**2 - 2*y**2 - 2*y**2 + 6*y**2 - 2*y**2 + (-y - 2*y + 2*y)*(-3 - y + 3).
13*y**2
Expand (3 - 5 - 2)*(470*h - 326 + 326)*(-2 + 3 - 3)*(5 - 1 - 3).
3760*h
Expand -294 + 44 + 2*k - 434 + (-5*k + 0*k + 3*k)*(1 - 2 - 3).
10*k - 684
Expand (-2*m + 1 - 1)*(-m + 0*m + 0*m) + (0*m + 2*m - 3*m)*(-15*m + 2*m - 3 - 21*m)*(-17 - 2 - 3)*(-4 + 2 + 1).
750*m**2 + 66*m
Expand (80*o + 477*o + 89*o)*(o + o - 3*o)*(3 + 2 - 4) + 3*o**2 + 2*o**2 - 3*o**2.
-644*o**2
Expand (7 - 7 + g + (0 - 1 - 1)*(-1 + 2*g + 1) + 2 - 2 - 2*g)*((-1 - 2 + 4)*(-41*g**2 - 79 + 79) + (-2*g + 4*g - g)*(-g + 4*g + 0*g)).
190*g**3
Expand (0 - 5 + 4)*(-w**3 - w**3 - w**3 + (0*w**2 + 3*w**2 - 4*w**2)*(-4*w + 4*w - w) + 4*w**3 - w**3 - 2*w**3 + 149*w**3 + 15*w**3 - 428*w**3).
265*w**3
Expand (2*f + 0 + 0)*((4 + 2 - 4)*(3 + 1 - 2) - 5 + 4 + 0 - 1954 + 402 - 1093).
-5284*f
Expand (d + d + 0*d)*(3*d + d - 2*d) - 2*d + 2*d + d**2 - 6*d**2 - 9*d**2 - 11*d**2 + (18*d - 18*d - d**2)*(1 + 4 - 4).
-22*d**2
Expand 2 - 2*c**2 - 2 + (105*c - 69*c - 57*c - c + c + c + 0*c + 2*c - c + (c + 4*c - 3*c)*(-4 + 2 + 4) - 4*c + c + 2*c + 4*c + 0*c - 2*c)*(6*c - 2*c + 2*c).
-86*c**2
Expand (-2*y - 2*y + 3*y)*((3*y + y - 6*y)*(-y - 2*y + y) - 818*y + 818*y + 31*y**2 - 4*y**2 + 2*y**2 + 0*y**2 - 23*y + 23*y - 4*y**2).
-29*y**3
Expand (209*a + 317 - 317 + (1 - 3 + 0)*(-a + a - a) + 2*a + 2*a - 2*a)*(37*a**4 - 43*a**4 + 41*a**4).
7455*a**5
Expand (-17 - 10 + 8)*(524*l + 71*l**5 - 524*l + (-l**4 + 4*l**4 - 2*l**4)*(2*l - 2 + 2) - 4*l**5 - 4*l**2 + 4*l**2).
-1311*l**5
Expand (4 - 8 - 5)*(-4*c**3 + 5*c**3 - 2*c**3) - 3*c**3 + 25*c**3 - 55*c**3.
-24*c**3
Expand 0*k**3 + 0*k**3 + 4*k**5 + 4*k**2 - 5*k**2 - k**5 + 3*k**2 + (-9*k**3 + 16*k**3 - 9*k**3)*(-3*k**2 + 6*k**2 + 2*k**2) + (-1 + 0 - 1)*(4 - 4 - 2*k**5).
-3*k**5 + 2*k**2
Expand (-t - 2*t + 4*t + (0 + 5 - 3)*(t - t - t) + 39*t - 264*t - 137*t)*(0 - 2 + 0)*(0 + 0 + 5).
3630*t
Expand ((-2 + 4 + 2)*(-1 - 5 + 3) + (-1 + 1 - 2)*(3 + 0 - 4))*(88*j - 233*j + j).
1440*j
Expand (0*h**3 + 0*h**3 - h**3)*(-235 + 235 - 558*h)*(3 - 3 - 1).
-558*h**4
Expand (-3 - 2 + 3)*(-1 - 2 - 2)*(-5 + 1 + 3)*(r - 14 + 29 + 0*r)*(-3*r**2 + 3*r**2 - r**2).
10*r**3 + 150*r**2
Expand (18 - 18 + 6*r)*(-26 - 37 + 69 - 5*r).
-30*r**2 + 36*r
Expand (-8*g**2 + 3*g**2 + 3*g**2)*(-105*g**3 - 54*g**3 - 175*g**3).
668*g**5
Expand (-2*l + 3*l - 3*l)*(-l - 3*l + 3*l)*(-2998*l**3 + 483*l**3 - 2057*l**3).
-9144*l**5
Expand (-2*i**2 + 2*i**2 - i**2)*(1294*i + 67*i**2 - 1294*i) + 3*i**4 - 2*i**4 + i**4 + (3*i**3 - 2*i**3 - 3*i**3)*(-5*i + i + 3*i).
-63*i**4
Expand (16289*a**4 - 32172*a**4 + 20537*a**4)*(-3*a + 4*a - 3*a).
-9308*a**5
Expand (0 + 0 - 2 + (-1 - 2 + 1)*(-3 + 2 + 3) + 1 + 1 - 3 - 25 + 2 - 6 - 5 + 1 + 0)*(-1 - 2 + 6)*(1 + 19*f**2 - 19*f**2 + 2*f**3).
-240*f**3 - 120
Expand ((-1 + 0 + 3)*(0 - 4 + 3) + (2 - 3 + 0)*(1 - 3 + 3) - 1 + 1 - 1)*(-48*h - 51 + 103 - 53)*(-4*h + h + 10*h).
1344*h**2 + 28*h
Expand (-7*p**3 + 6*p**3 + 6*p**3)*(95*p**2 - 45*p**2 - 125*p**2).
-375*p**5
Expand (3 - 3 - v**5)*(-1778 - 635 - 3536 - 661).
6610*v**5
Expand 188*x**2 - 188*x**2 - 88*x**3 + (5*x**2 - 5*x**2 + 2*x**2)*(7*x + 2*x - 3*x).
-76*x**3
Expand (0 + 0 - 2*f)*(-4*f**3 - f**3 + 3*f**3) - 136*f**4 + 52*f**4 + 59*f**4 + 5*f**4 + 2*f**3 - 2*f**4 - 3*f**3.
-18*f**4 - f**3
Expand (-23*h**3 - 46*h**3 + 45*h**3 - 34*h**3 - 52*h**3)*(h - 4*h - 3*h).
660*h**4
Expand (-5 - 1 + 2)*(0 - 2 + 1)*((-3*c**3 + 1 - 1)*(-11*c**2 - 4*c**2 + 0*c**2) + c**5 + 5*c**5 - 2*c**5) + (2*c**4 + c**4 - 4*c**4)*(2 - c - 2).
197*c**5
Expand (-2 + 3 + 0)*(-3*l + 4*l + 0*l) + (1 - 4 + 1)*(-4269 + 4274 - 1192*l - 1092*l).
4569*l - 10
Expand (-7 + 4 - 7 - 13)*(66*w - 577*w + 34*w - 2*w**2).
46*w**2 + 10971*w
Expand (-2*c**2 + 0*c**2 + 4*c**2 + (-c + 0*c + 2*c)*(5*c + c - 4*c))*((-c + 0*c + 0*c)*(-173 + 22*c + 173) - c**2 - 3*c + 3*c).
-92*c**4
Expand (2134*l + 2825*l - 897*l)*(2*l + l - l).
8124*l**2
Expand (x**2 + 1 - 1)*(4*x**2 - 3*x**2 - 2*x**2) + 5*x**4 - 2*x**4 - 4*x**4 + 2*x**4 + 86*x**3 - 85*x**3 - 4*x**4 - 1695*x**3 - 2*x + 20 - 8*x**4 + 1695*x**3.
-12*x**4 + x**3 - 2*x + 20
Expand (j + 0 + 0)*(-2*j + 2*j + 2*j**2 + (j + 3 - 3)*(j - j + 2*j) - 9*j**2 - 141 + 141) - j**3 - 2*j**2 + 2*j**2 + (-j - 5*j + 5*j)*(-3 + 3*j**2 + 3).
-9*j**3
Expand ((-h - 2*h - 11*h)*(-2 - 2 - 1 + (-2 - 1 + 4)*(-3 + 4 - 2) - 1 - 2 + 4) + 0 + 0 - 3*h)*(-4 - 7 + 8 + (1 + 0 + 0)*(2 - 2 + 1)).
-134*h
Expand (5*r - 2*r - 5*r)*(621*r - 66*r - 4*r)*(-25 + 4*r + 25).
-4408*r**3
Expand -43*n**2 - 30*n**2 + n - 3*n - n**2 + 8*n**2 + 4*n**2 - n**2 - 1 + 1 + (-2*n - 4 + 4)*(0*n + 2*n - 4*n) + n**2 + 0*n**2 - 3*n**2 + n**2 + n**2 + n**2.
-58*n**2 - 2*n
Expand (1129 - 316*z - 1129)*(0 + 0 - 9*z**2).
2844*z**3
Expand (3*q + 0*q - 5*q)*(-q**2 - 5*q**2 + q**2) - 3*q**3 + 2*q**3 + 0*q**3 + (-7*q**3 + 0*q**3 - q**3)*(-1 + 1 + 3) - q**3 - q**3 + 4*q**3.
-13*q**3
Expand (13*r + 11 + 39*r**2 - 149 + 103 + 44)*(-1 + 2*r**2 + 1).
78*r**4 + 26*r**3 + 18*r**2
Expand 3*v**2 - v**2 + 0*v**2 + (3*v - v + 2*v)*(26 - 26 + 36*v) + (-2*v - v + 6*v)*(-4*v + 0*v - v).
131*v**2
Expand (0*j**2 - 2*j**2 + 5*j**2)*(891 - 372 + 227 + 3354 + 2488 + 2112).
26100*j**2
Expand (-1079*f - 9 + 539*f + 542*f)*(7*f**4 + 30*f**2 - 30*f**2).
14*f**5 - 63*f**4
Expand (2*q - 4 + 4)*(-129*q**2 + 890*q**2 + 2*q**3 + 4840*q**2).
4*q**4 + 11202*q**3
Expand (-1342 - 2143 - 984 - 1903)*(3*p - 7*p + 2*p).
12744*p
Expand (48 + 51 - 30)*(1 + 2*s - 1 + (-4*s + 0*s + 2*s)*(1 - 2 - 1) + 3*s - 5*s - s + (0 + 4 - 5)*(0 + 1 + 0)*(4*s + 0*s - 2*s)).
69*s
Expand (1 + 2*b - 1 - 4*b + b + 2*b + (-1 + 2 - 2)*(b + 0*b + b) - 5*b + 2*b + 2*b + 10*b + 170 - 170)*(73*b**4 - 64*b**2 + 64*b* | {
"pile_set_name": "DM Mathematics"
} |
ide 512383965?
False
Does 821 divide 437146376?
True
Is 1822476 a multiple of 348?
True
Is 178761057 a multiple of 1810?
False
Is 45 a factor of 194931967?
False
Is 648030285 a multiple of 4977?
True
Is 1323 a factor of 681146736?
False
Does 1418 divide 246785884?
True
Does 755 divide 1312455760?
True
Is 4654431327 a multiple of 159?
True
Is 28 a factor of 62813811?
False
Is 26192735 a multiple of 7?
False
Is 8 a factor of 18021640?
True
Is 7 a factor of 713796?
False
Does 678 divide 1784156891?
False
Is 22 a factor of 420562846?
True
Is 177226692 a multiple of 29?
False
Is 118 a factor of 92662096?
True
Does 6 divide 71307722?
False
Is 57 a factor of 65000406?
True
Is 221222275 a multiple of 17?
True
Is 68 a factor of 3258764?
True
Is 18875963 a multiple of 1192?
False
Does 138 divide 10021698?
True
Does 247 divide 48234276?
False
Is 33620418 a multiple of 18?
True
Is 16 a factor of 124925568?
True
Does 1367 divide 102279235?
False
Is 302885478 a multiple of 2331?
True
Does 39 divide 14609712?
True
Is 852 a factor of 36662084?
False
Does 247 divide 12846223?
True
Is 415290560 a multiple of 40?
True
Is 53469726 a multiple of 2193?
True
Is 25507951 a multiple of 34?
False
Is 8 a factor of 170891883?
False
Does 79 divide 46541953?
False
Is 12 a factor of 557127350?
False
Is 62 a factor of 39518304?
True
Is 10 a factor of 154607400?
True
Does 4 divide 1381099?
False
Is 73474860 a multiple of 1695?
True
Is 32 a factor of 176632896?
True
Is 1760741436 a multiple of 199?
False
Does 14 divide 55595209?
False
Is 960 a factor of 223449544?
False
Is 144 a factor of 1946928528?
True
Is 261535639 a multiple of 2691?
False
Is 190 a factor of 354948037?
False
Is 2032534812 a multiple of 28?
True
Does 67 divide 2134853166?
False
Does 21 divide 29838060?
True
Is 191065139 a multiple of 41?
False
Is 20 a factor of 2996227?
False
Is 241394347 a multiple of 1189?
True
Does 281 divide 77498604?
False
Is 38886588 a multiple of 441?
False
Is 1967428 a multiple of 29?
False
Is 24 a factor of 2623253250?
False
Does 1686 divide 367451898?
True
Does 470 divide 69358650?
False
Is 1072 a factor of 134792208?
True
Is 2190548592 a multiple of 48?
True
Is 10 a factor of 65767550?
True
Does 32 divide 151172384?
True
Does 3023 divide 2312159688?
True
Is 72 a factor of 284237640?
True
Is 3390 a factor of 88892668?
False
Is 42103174 a multiple of 2137?
True
Is 13 a factor of 26250497?
True
Does 3634 divide 2797336912?
True
Is 73 a factor of 957363172?
True
Is 7749186 a multiple of 11?
False
Does 177 divide 920286182?
False
Is 66 a factor of 28020300?
True
Is 180215035 a multiple of 35?
True
Does 214 divide 808145952?
False
Does 97 divide 5536818?
False
Is 7129356 a multiple of 598?
True
Does 573 divide 230490396?
True
Does 304 divide 69145235?
False
Does 293 divide 1323433237?
False
Does 193 divide 142101958?
False
Does 321 divide 1968722532?
True
Does 717 divide 757309063?
False
Does 27 divide 7747939?
False
Does 854 divide 26376644?
True
Is 2322616 a multiple of 143?
False
Is 135618238 a multiple of 6?
False
Is 5 a factor of 141548817?
False
Is 37416593 a multiple of 18?
False
Does 720 divide 26569294?
False
Does 97 divide 1696530?
True
Does 12 divide 107516568?
True
Does 4 divide 111218148?
True
Is 126 a factor of 277207307?
False
Is 57624910 a multiple of 70?
True
Does 544 divide 1010406530?
False
Is 23604586 a multiple of 263?
False
Does 20 divide 10872020?
True
Is 745687 a multiple of 5?
False
Does 316 divide 16620732?
False
Is 105042301 a multiple of 13?
True
Is 9587 a factor of 2265580666?
True
Is 20925578 a multiple of 664?
False
Is 554 a factor of 69755248?
True
Is 526 a factor of 84924804?
True
Is 1028 a factor of 683428333?
False
Is 13 a factor of 3271164?
True
Does 43 divide 6295531?
False
Does 11 divide 4499132?
True
Is 11 a factor of 823718?
False
Is 1137 a factor of 15511044?
False
Is 14 a factor of 1708654304?
True
Does 539 divide 15654177?
True
Does 2179 divide 6685195969?
True
Is 42 a factor of 282227190?
True
Does 220 divide 148897676?
False
Does 609 divide 111796566?
True
Is 2917109581 a multiple of 12?
False
Does 1703 divide 51934688?
True
Is 3858 a factor of 1103103298?
False
Is 5789056 a multiple of 98?
True
Is 209472978 a multiple of 99?
False
Is 3477 a factor of 900174438?
True
Is 149051769 a multiple of 642?
False
Does 1412 divide 57353540?
False
Is 67653712 a multiple of 8?
True
Is 2195 a factor of 110439230?
True
Is 5842220 a multiple of 34?
True
Is 3780159206 a multiple of 1487?
True
Does 122 divide 56682360?
False
Is 19 a factor of 44060981?
True
Is 2247 a factor of 91612437?
True
Does 57 divide 699443340?
False
Is 1128 a factor of 167524920?
True
Is 111936825 a multiple of 2485?
True
Is 435 a factor of 116782275?
True
Is 1138 a factor of 2120714210?
True
Is 9014400 a multiple of 5?
True
Is 72 a factor of 507593664?
True
Is 24915536 a multiple of 152?
True
Is 67680998 a multiple of 682?
True
Does 684 divide 647297928?
True
Does 274 divide 135382784?
False
Is 43706998 a multiple of 73?
True
Is 112706610 a multiple of 323?
False
Is 46873320 a multiple of 39?
True
Is 638 a factor of 22457600?
True
Is 63 a factor of 742234089?
False
Is 80 a factor of 488813920?
True
Is 1124525671 a multiple of 257?
False
Does 2205 divide 18374265?
True
Is 82386124 a multiple of 37?
True
Is 5 a factor of 61689465?
True
Is 38181403 a multiple of 27?
False
Is 5379 a factor of 351646543?
False
Is 741 a factor of 305645457?
True
Is 97596318 a multiple of 6?
True
Is 3 a factor of 2363797?
False
Is 22398939 a multiple of 9?
True
Is 160655653 a multiple of 13?
False
Is 59 a factor of 1536006?
True
Does 179 divide 1987147937?
False
Does 288 divide 487212763?
False
Does 172 divide 95005404?
True
Is 319 a factor of 2714548045?
True
Is 6523672 even?
True
Is 657293369 a multiple of 2657?
False
Is 64696086 a multiple of 26?
True
Is 79387938 a multiple of 43?
False
Is 234690141 a multiple of 107?
False
Is 77 a factor of 51416981?
True
Does 2849 divide 188821201?
False
Is 260 a factor of 2718061580?
True
Is 37241192 a multiple of 424?
True
Does 621 divide 67616396?
False
Is 202777077 a multiple of 295?
False
Does 644 divide 229903492?
True
Does 1382 divide 917163235?
False
Is 57139361 a multiple of 885?
False
Is 434413584 a multiple of 452?
True
Is 126629237 a multiple of 959?
True
Is 495 a factor of 8208321?
False
Is 1561 a factor of 457758567?
True
Does 911 divide 102852559?
False
Is 19 a factor of 555613143?
True
Is 15162384 a multiple of 395?
False
Is 4430236 a multiple of 8?
False
Is 614283414 a multiple of 186?
True
Is 34735330 a multiple of 203?
True
Is 478143264 a multiple of 96?
True
Is 19206494 a multiple of 21?
False
Is 17 a factor of 10211696?
True
Is 403988364 a multiple of 15?
False
Is 340011840 a multiple of 192?
True
Is 92 a factor of 11102284?
True
Does 206 divide 249708516?
False
Does 31 divide 410699501?
True
Does 767 divide 21936330?
False
Is 922686906 a multiple of 15?
False
Is 222 a factor of 103104970?
False
Is 16984564 a multiple of 11?
False
Does 549 divide 146671938?
True
Is 40 a factor of 15391576?
False
Does 1341 divide 8275237?
False
Does 6 divide 3393718?
False
Is 9 a factor of 318870?
True
Does 47 divide 22339523?
True
Does 47 divide 8762492?
True
Is 12 a factor of 17562756?
True
Does 322 divide 436437663?
False
Is 2152548 a multiple of 4?
True
Is 4336 a factor of 52149072?
True
Is 139 a factor of 17737242?
False
Does 9 divide 132285042?
True
Is 115204848 a multiple of 8?
True
Does 22 divide 73891730?
True
Does 375 divide 266606618?
False
Does 7 divide 27194012?
False
Is 551 a factor of 29196388?
True
Is 46463313 a multiple of 6787?
False
Is 234648885 a multiple of 1245?
True
Is 27461707 a multiple of 536?
False
Is 130638810 a multiple of 1356?
False
Is 1071236640 a multiple of 480?
True
Is 262 a factor of 345205698?
True
Is 12842585 a multiple of 655?
True
Does 37 divide 301051499?
True
Is 515068046 a multiple of 74?
True
Is 940328151 a multiple of 21?
True
Does 7 divide 1351465743?
False
Is 597 a factor of 115086078?
True
Is 899 a factor of 44086822?
False
Is 84 a factor of 51850075?
False
Is 2370228 a multiple of 294?
True
Is 2539 a factor of 1463939159?
True
Is 31 a factor of 57014380?
False
Does 358 divide 677909109?
False
Is 38191032 a multip | {
"pile_set_name": "DM Mathematics"
} |
+ w**4/24 + 2*w**2. Let a(l) be the second derivative of h(l). Determine a(-4).
2
Let u(h) be the second derivative of -h**3/6 - 9*h**2/2 - 21*h. Determine u(-9).
0
Let b(z) = -z**3 - z**2 - z - 17. Suppose 2*t - 3 = -3. Give b(t).
-17
Let h(k) = k + 9. Let j be (8/1)/(-1 + -1). Determine h(j).
5
Let y = 1691/330 - 56/11. Let l(c) be the third derivative of 0*c + 2*c**2 + 0 - y*c**5 + 1/6*c**4 - 1/6*c**3. Give l(3).
-7
Suppose v = -v + 14. Let o be 7 + 4/(3 - v). Let u(q) = -2*q + 8. What is u(o)?
-4
Let r(c) = c**2 + 11*c + 3. Let z(v) = -v - 1. Let g(d) = r(d) + 4*z(d). Determine g(-6).
-7
Let c(x) = x**2 - 1. Let n(v) = 3*v**2 + 8*v - 9. Let h(a) = 4*c(a) - n(a). Let s(u) = -u**3 + 11*u**2 - 10*u + 4. Let w be s(10). Give h(w).
-11
Let s(q) = 0*q - q - 5*q**2 + 6 - 4 - 1. Let c(d) = -5*d**2 - d + 1. Let h(x) = 3*c(x) - 4*s(x). Suppose -o + 3*o - 2 = 0. Give h(o).
5
Suppose 0 = -z - 4*x - 14, -2*z + x + 2 = -3*z. Let j(c) be the third derivative of -1/6*c**4 + 1/3*c**3 + 0*c + 1/30*c**5 + 0 - c**2. Give j(z).
2
Let b(v) = v**3 + 2*v**2 + 2*v + 2. Let o be 42/10 + 2/(-10). Suppose 0 = 3*u - o*p - 6, -3*p + 7 = -2*u - 4*p. Calculate b(u).
-2
Let g be ((-5)/3)/((-2)/(-6)). Let s(t) = t**3 + 5*t**2 + 6. What is s(g)?
6
Suppose -3*d = 25 - 1. Let x(q) = -q**3 - 8*q**2 - 3*q + 7. Determine x(d).
31
Let x(j) = -j - 3. Suppose 0 = -0*i + 3*i - 7*i. Determine x(i).
-3
Let v(z) = -2*z - 6. Suppose -6*o + 5*o = 7. Let d(r) = -r**2 - 5*r + 10. Let j be d(o). Calculate v(j).
2
Let s(c) = c**2 - 3*c - 2. Let h = -10 + 14. Suppose -p - h*v + 8 = -2*p, v - 23 = -5*p. Determine s(p).
2
Let k(z) = 5*z + 8*z - 22*z + 6*z - 3*z**2. Calculate k(-2).
-6
Let g(o) be the first derivative of 5 - 1/4*o**4 - o - 3/2*o**2 - 2/3*o**3. Determine g(-2).
5
Let c be (-11)/(-6) - 2/(-12). Suppose 3 = 4*a - c*h + 1, -2*h + 4 = -2*a. Let o(w) = w**3 + w**2 - 4 - 4*w - 5*w**2 + 7*w. Calculate o(a).
-4
Let n(o) = -2*o - 3 + 4 - 1 + 2. Give n(4).
-6
Suppose -20*v = -25*v + 15. Let g(w) = 2*w - 3 + w - w. Calculate g(v).
3
Let n = -9 + 6. Let c(y) = -y**2 + y - 1. Let d(p) = 3*p**2 - 9*p + 4. Let r = 12 - 7. Let o(t) = r*c(t) + d(t). Determine o(n).
-7
Let t = 36 - 28. Let f(v) = v**3 - 8*v**2 - 2. Determine f(t).
-2
Let t(z) be the third derivative of -z**6/120 + z**5/15 - z**4/12 - z**3/3 + z**2. Suppose 17 = -4*y - 5*i, 5*y + 3 = -3*i - 2. What is t(y)?
2
Let v(y) = -9*y**2 - 2*y - 15. Let m(p) = -5*p**2 - p - 8. Let h(t) = -11*m(t) + 6*v(t). Let i(q) = -2*q - 5. Let r be i(-4). What is h(r)?
4
Let w(h) = h + 5. Suppose 0*u = 5*r - 3*u - 5, 4*r - 4*u = -4. Suppose -10 = -5*o - 2*y, r*o + 2*y = -0*o + 10. Determine w(o).
5
Let r(k) = 9*k + 11. Let t = 8 + -2. Let p(i) = -5*i - 6. Let m(q) = t*r(q) + 11*p(q). Determine m(3).
-3
Let n(z) = 4*z + 2. Let t(w) = -5*w - 3. Let h = 13 - 19. Suppose -5*o = -o + p + 19, 0 = 2*o - 2*p + 12. Let l(m) = h*n(m) + o*t(m). Determine l(-6).
-3
Suppose 4*v - 6*v = 4. Let l(r) = r - 6. Let s(o) = o - 9. Let z(d) = 7*l(d) - 5*s(d). What is z(v)?
-1
Let n(q) = 1 + q - 4 - 2*q + 0. Determine n(-2).
-1
Let w(u) = u**2 - 2*u + 4. Let l be 15/(-21) + (-4)/14. Let n be 1 - l - (-2 + 0). Give w(n).
12
Let l(s) = 23*s - 1. Let o be l(1). Suppose -o = 5*h - f, -3*f - f = 2*h. Let w(b) = b + 2. Calculate w(h).
-2
Let o(q) = -q + 13 + q**2 + 4*q - 3*q - q. Give o(0).
13
Let a(k) = -k - 1. Let w(d) = 4*d + 2. Let b(y) = -6*a(y) - 2*w(y). Let z be b(2). Let n(t) = -2*t**2 - 2*t. Determine n(z).
-4
Let t(u) = -u**2 + 8*u - 8. Suppose -2*q - 6 + 4 = -2*d, 0 = -q - d + 7. Suppose -4*c + 8 + 8 = 0. Suppose o = 4*w - 25, 0 = c*w - q*o - 21 - 6. What is t(w)?
4
Let a(z) = -z**2 + 8. Let m(x) = -x - 3. Let s be m(-6). Let i(l) = l**3 - 2*l**2 - 4*l + 3. Let n be i(s). Give a(n).
8
Suppose -2*j = 1 - 5. Suppose 0 = j*m + 4*v - 6, 2*m + 6 = 4*m - 4*v. Let f(o) = o - 3. Determine f(m).
0
Let w = 73/1368 - 2/171. Let m(u) be the third derivative of 0*u - w*u**4 - 2*u**2 + 0 - 1/2*u**3. Calculate m(-5).
2
Let v(b) = -2*b - 3. Let a = 16 + -20. Give v(a).
5
Let d(o) be the second derivative of -o**3/3 - 2*o**2 + 66*o. Give d(-2).
0
Let t be -2 - (1 + -1) - -1. Let y = -1 + t. Let n(l) = -l**3 - 4*l**2 - 4*l - 3. Give n(y).
-3
Let b(w) = w. Let l be 18/(-22) + (-4)/22. Let d = l - -8. Let n = 8 - d. What is b(n)?
1
Let m(n) = -n**2 - 3*n - 3. Suppose 0 = 2*i + 3*q - 6*q + 3, 0 = -5*i + 5*q + 5. Let t be (-3 - -6)/(i/20). Let f be 34/(-10) + 4/t. Give m(f).
-3
Let t(b) = b**2 + 7*b - 3. Suppose 4*f + 34 = 2*c, 4*c = -5*f + 3*c - 25. Calculate t(f).
-9
Suppose 41 = 3*g - r, -r - 10 = -g + 5. Let f = 10 - g. Let x(c) = -c - 6. Give x(f).
-3
Let f(z) = -5*z**2 - 8*z - 8. Let l(h) = -14*h**2 - 24*h - 24. Let a(t) = -11*f(t) + 4*l(t). Determine a(-6).
4
Let c(d) = -d**3 + 7*d**2 - 5*d + 1. Suppose 26 = 5*h - 4. Determine c(h).
7
Let j(r) = -7*r**2 + 4*r. Let t(a) = 6*a**2 - 3*a. Let w(u) = 4*j(u) + 5*t(u). Determine w(-2).
6
Let l be ((-2)/(-4))/(-6 - (-222)/36). Let c(v) = v - 4. What is c(l)?
-1
Suppose 0 = 12*x - x - 55. Let q(y) = -y**2 + 10*y - 7. Determine q(x).
18
Let o(n) = 15*n + 0 - 7*n + 2. What is o(-2)?
-14
Let x = -6 - -3. Let o(l) = 3*l - 2. Calculate o(x).
-11
Let b(p) = -3*p**2 + 5*p - 2. Let i(z) = -z**2 + 2*z - 1. Let g(f) = 2*b(f) - 5*i(f). Determine g(3).
-8
Let t(d) = d**3 - 2*d**2 + 2*d - 3. Let q(i) = -2*i - 3. Suppose -v - 12 - 11 = 3*h, -v - 29 = 4*h. Let j be q(h). Let m be 2/6 + 15/j. Give t(m).
1
Let u(i) = -6*i**3 - 2*i**2 - 2*i - 1. Let w be 6*(-4)/(-6) + 2. Suppose -1 - 5 = 2*l, -3*y + w = -3*l. What is u(y)?
5
Let u(v) = -2*v**2 - 2*v - 6. Let j(m) = 3*m**2 + 3*m + 9. Let z(l) = 5*j(l) + 7*u(l). Let k be z(0). Let g(x) = x - 3. Determine g(k).
0
Let o(g) be the second derivative of g**5/20 + 7*g**4/12 + g**3 + g**2 - g. Let t(i) = i**3 - i**2 - i - 6. Let q = -23 + 23. Let v be t(q). Determine o(v).
2
Let n(r) = r**3 - 5*r**2 + r - 4. Suppose -2*o - 6 + 16 = 0. Determine n(o).
1
Suppose 0 = -2*i - i - 2*w + 34, -w = 2*i - 21. Let d(m) = -i*m + 11*m**2 + 8*m. Give d(-1).
11
Let j(i) = -i + 0*i**3 - 6*i**2 + i**3 + 2 + 5*i. Suppose 3*f + 10 = 2*m - 0*m, -m - 2*f = -5. Give j(m).
-3
Suppose -2*r - 34 + 154 = 0. Let g = r + -34. Suppose -g = 5*f - 6. Let l(x) = x**3 + 3*x**2 - 3*x. Calculate l(f).
-4
Let t(v) be the third derivative of v**5/60 - v**4/8 - 2*v**3/3 - 19*v**2. Calculate t(3).
-4
Suppose 4*d = -4*b, 8*b + 5*d - 2 = 4*b. Let n(m) = -3*m + 0*m + 2*m - 4. Give n(b).
-2
Let y(w) be the second derivative of w**5/20 - w**4/2 - w**3/2 + 9*w**2/2 - 10*w. Give y(6).
-9
Let f(h) = h**3 + 12*h**2 - 14*h - 14. Let t be f(-13). Let c be 6 + (t - 1)*1. Let n(l) = l**3 - 5*l**2 + 3*l - 3. Give n(c).
-7
Suppose 0 = -3*n + n - 40. Let k = -15 - n. Let m(z) = z**3 - 4*z**2 - 3*z - 2. Calculate m(k).
8
Let x(s) = -s - 1. Let f be x(-1). Let v(d) = -2*d + 0*d + d**2 - d**3 - 6 + 2*d. Determine v(f).
-6
Let m(p) = -4*p**3 + p**2 + 6*p + 3. Let y(g) = 21*g**3 - 6*g**2 - 31*g - 15. Let h(l) = -11*m(l) - 2*y(l). Calculate h(-2).
-7
Suppose 0 = y - 5*y - 20. Let f = -2 - y. Let t(q) = 0*q**2 - 2*q + 4 + 5*q - q**2. Determine t(f).
4
Let o(z) be the first derivative of z**4/4 - 4*z**3/3 - z**2 + 5*z - 1. Let x(u) = -u**2 + 10*u + 14. Let q be x(11). Let p be q/(-1 + 2) - -1. Give o(p).
-3
Let j(x) = -x + 16. Let c be j(10). Let s(y) = -y**2 + 7*y - 8. Determine s(c).
-2
Let z = 4 + -6. Let v be (2/2 + -3)/z. Let p(n) = -18 - 16 + 3*n + 35. Calculate p(v).
4
Let a(f) = 4*f**2 + 6*f + 7. Let i(k) = -3*k**2 - 6*k - 6. Let r(z) = -2*a(z) - 3*i(z). Determine r(-3).
-5
Suppose 3*t = -2*t + 15. Let w be (t - 1) + -2 - -4. Let y(f) = f**2 - 2*f - 5. Give y(w).
3
Let y(z) = 5*z**2 - 2*z + 1. Let m be 30/9 + 3/(-9). Suppose 0 = -a + m*a + 2*g - 6, -1 = -3*a + g. Give y(a).
4
Suppose -5*j - 15 = 3*f, f - 17 = 2*j - 0. Let b(v) = -13*v - v**2 + 2*v**2 - 2*v + 21*v - 4. What is b(j)?
-4
Suppose 0*b = 5*b. Suppose -4*v + b*v = 8. Let o(a) = 0*a**2 + a - 2*a**2 - 2*a. Give o(v).
-6
Let g(u) be the third derivative of u**4/8 + 7*u**3/6 - 32*u**2. Give g(-5).
-8
Let b(h) be the third derivative of -h**4/12 + h**3/6 + 2*h**2. Let a = -47 + 43. What is b(a)?
9
Let r = 14 - 6. Suppose -12 = -4*h + r. Let z(y) be the third derivative of -y**4/24 + 3*y**3/2 + y**2. Determine z(h) | {
"pile_set_name": "DM Mathematics"
} |
etermine r(-10).
15
Let b(s) = -s**3 + 16*s**2 - 10*s - 20. What is b(15)?
55
Let c(a) = -a**2 - 7*a + 36. Give c(-11).
-8
Let x(p) = p**3 - 9*p**2 + 4*p + 8. Determine x(8).
-24
Let t(m) = -m**3 + 17*m**2 + 3*m - 6. Give t(17).
45
Let w(q) = -3*q**3 - 55*q**2 - 21*q - 55. Calculate w(-18).
-1
Let z(a) = a**3 + 13*a**2 + 6*a - 23. What is z(-12)?
49
Let p(d) = -20*d - 11. Give p(-3).
49
Let i(o) = -o**3 - 14*o**2 - 13*o - 12. Give i(-13).
-12
Let v(h) = -3*h - 107. What is v(-32)?
-11
Let m(b) = 2*b + 2. Calculate m(0).
2
Let g(v) = -2*v**2 - 23*v + 6. What is g(-12)?
-6
Let q(g) = g**2 + 13*g - 53. Give q(-16).
-5
Let m(j) = j**3 + 3*j**2 + 5*j + 2. Give m(-3).
-13
Let q(y) = 2*y**3 + y**2 + 3*y + 2. Determine q(-1).
-2
Let r(p) = -p**3 + 8*p**2 - 6*p + 2. Give r(6).
38
Let t(u) = u**2 - u + 18. What is t(0)?
18
Let q(w) = -9*w - 57. Give q(-6).
-3
Let v(k) = -k**2 - 2*k. What is v(-4)?
-8
Let v(k) = 7*k + 4. What is v(-5)?
-31
Let u(z) = -z**2 + 19*z - 117. Calculate u(12).
-33
Let n(x) = 2*x + 8. Give n(-9).
-10
Let y(o) = -25*o - 22. Calculate y(3).
-97
Let i(p) = 2*p**2 + 34*p - 4. Give i(-17).
-4
Let b(y) = y**2 + 4*y + 4. Determine b(-6).
16
Let f(h) = h + 5. Give f(-5).
0
Let w(b) = 3*b + 60. What is w(-22)?
-6
Let m(p) = -3*p**2 + 14*p - 6. Determine m(5).
-11
Let r(q) = -q + 6. Calculate r(11).
-5
Let a(z) = 4*z - 15. What is a(-12)?
-63
Let q(u) = u - 4. What is q(-17)?
-21
Let s(a) = a**3 + 2*a**2 - 16*a - 7. Calculate s(-5).
-2
Let a(y) = -2*y**2 + 5*y - 3. What is a(3)?
-6
Let m(x) = x**2 + 10*x - 17. What is m(-12)?
7
Let x(a) = -a**2 - 7*a - 10. Calculate x(-13).
-88
Let k(p) = p**3 - 13*p**2 + 17*p + 21. Give k(11).
-34
Let j(d) = -68*d + 144. What is j(2)?
8
Let t(v) = -v**3 + 7*v**2 + 19*v - 1. Give t(9).
8
Let n(v) = -2*v + 11. Determine n(0).
11
Let n(g) = 2*g**2 + 10*g. Determine n(-7).
28
Let z(w) = 10*w - 5. What is z(1)?
5
Let k(n) = 14*n**2 + 4*n + 2. Determine k(-2).
50
Let y(q) = q - 3. Give y(10).
7
Let c(q) = 11*q + 9. What is c(-3)?
-24
Let s(a) = -a**2 + 6*a + 1. Determine s(7).
-6
Let l(c) = c - 2. What is l(4)?
2
Let s(a) = -a**2 + a + 9. Give s(0).
9
Let p(m) = 21*m + 18. Calculate p(-4).
-66
Let w(d) = -d**2 + 2*d. Determine w(5).
-15
Let m(n) = -11*n + 47. Give m(3).
14
Let j(m) = -12*m - 17. What is j(-6)?
55
Let k(c) = 4*c**2 - c + 3. What is k(4)?
63
Let c(j) = j**3 - 9*j**2 + 12*j + 1. Give c(5).
-39
Let n(l) = l**2 - 13. What is n(0)?
-13
Let n(b) = b**2 + b + 4. What is n(3)?
16
Let p(o) = -25*o**3 - o**2 - o. Give p(-1).
25
Let k(y) = y**2 + 17*y + 16. Calculate k(-16).
0
Let t(f) = -5*f - 31. Calculate t(-8).
9
Let t(n) = 12*n**3 + 1. Give t(-1).
-11
Let s(w) = 2*w**2 + 59*w - 33. Calculate s(-30).
-3
Let h(p) = 4*p + 13. Calculate h(0).
13
Let c(m) = 7*m**3 - m**2 - 5*m - 3. Determine c(3).
162
Let v(y) = 8*y**3 + y**2 + y + 1. What is v(2)?
71
Let t(x) = -x**2 - 9*x - 14. Determine t(-8).
-6
Let v(t) = -t**3 - t**2 + 71*t + 1. Give v(8).
-7
Let a(g) = g**2 - 7*g + 7. Give a(3).
-5
Let o(z) = -7*z + 2. What is o(1)?
-5
Let g(j) = 109*j - 2. Give g(0).
-2
Let t(s) = -s**3 - 10*s**2 - 4*s - 25. Give t(-8).
-121
Let d(k) = -k**2 - 10*k + 4. Calculate d(-11).
-7
Let p(a) = -27*a**2 - 7*a - 3. Determine p(-2).
-97
Let c(w) = -w**3 - 6*w**2 + 26*w - 12. Give c(-9).
-3
Let a(h) = -5*h**2 + 2*h + 26. What is a(-6)?
-166
Let v(x) = -x**3 + 5*x - 13. Determine v(3).
-25
Let c(t) = -t**3 + 9*t**2 - 8*t - 4. Give c(6).
56
Let v(s) = s**2 - 8*s + 5. What is v(9)?
14
Let p(u) = -u**3 + 9*u**2 - 12*u + 17. What is p(7)?
31
Let o(p) = -p**3 + 8*p**2 - 6*p - 2. Calculate o(8).
-50
Let j(u) = -u**2 - 70*u - 708. Calculate j(-58).
-12
Let m(a) = -12*a + 5. Calculate m(2).
-19
Let p(o) = 5*o**3 + o**2 + o - 2. Give p(1).
5
Let f(t) = t**2 + 5*t - 13. Calculate f(-4).
-17
Let c(z) = -z**3 + 13*z**2 - 12*z + 14. What is c(12)?
14
Let k(g) = -g**2 - 19*g + 25. What is k(-20)?
5
Let b(i) = 44*i - 45. Give b(2).
43
Let u(a) = -a**2 + 4*a + 5. Determine u(7).
-16
Let s(o) = -o**2 - 6*o - 1. Give s(-5).
4
Let g(m) = m**2 + 3*m - 26. Give g(-8).
14
Let d(k) = 2*k. Determine d(-8).
-16
Let r(m) = m**2 - m - 38. Determine r(0).
-38
Let m(k) = -k**3 + 7*k**2 + 4*k - 16. Calculate m(7).
12
Let n(i) = i**3 + 9*i**2 - 11*i - 1. Determine n(-10).
9
Let k(b) = b**3 - 6*b**2 - 3. Determine k(6).
-3
Let u(k) = -k**3 + 13*k**2 - 14*k + 10. Calculate u(12).
-14
Let p(i) = -i**3 - 8*i**2 - 6*i + 6. What is p(-7)?
-1
Let a(q) = -13*q - 626. Calculate a(-48).
-2
Let n(c) = 2*c**3 + 1. Calculate n(-2).
-15
Let g(q) = q + 5. What is g(13)?
18
Let z(u) = -u**3 - 5*u**2 - 4*u + 6. Calculate z(-4).
6
Let p(o) = -2*o**2 - 50*o + 100. Calculate p(-27).
-8
Let y(m) = m**3 - 11*m**2 + 20. Calculate y(11).
20
Let i(x) = x**2 - 4*x + 5. What is i(6)?
17
Let x(o) = -4*o + 32. Calculate x(9).
-4
Let z(x) = x**3 + 10*x**2 + 9*x. Give z(-9).
0
Let i(n) = 21*n. Determine i(-1).
-21
Let h(n) = -n**3 - 13*n**2 - 24*n - 11. Give h(-11).
11
Let m(z) = -z**2 + 10. What is m(-8)?
-54
Let q(t) = -t**3 + 11*t**2 + 25*t + 10. Calculate q(13).
-3
Let s(a) = a**2 - 9*a - 11. Give s(12).
25
Let n(c) = 3*c**2 - 2*c + 2. What is n(1)?
3
Let x(s) = -3*s - 13. Determine x(5).
-28
Let p(b) = -3*b**3 - b**2. Give p(-1).
2
Let b(i) = i**2 - 8*i - 48. Calculate b(12).
0
Let h(i) = 4*i + 3. What is h(12)?
51
Let c(s) = -6*s - 8. What is c(-1)?
-2
Let m(u) = -43*u. What is m(-2)?
86
Let r(k) = -19*k - 6. Give r(0).
-6
Let k(x) = -x**3 - x**2 + 6. What is k(0)?
6
Let m(d) = -d**2 - 27*d - 26. Give m(-26).
0
Let g(l) = 7*l - 111. Determine g(20).
29
Let c(s) = s**2 + 2*s + 4. Determine c(-2).
4
Let j(q) = -2*q + 4. Give j(1).
2
Let v(d) = -d**3 + 12*d**2 - 36*d + 280. Give v(11).
5
Let l(d) = d**3 + 15*d**2 - 17*d - 17. Give l(-16).
-1
Let i(k) = -2*k**2 + k - 1. What is i(1)?
-2
Let h(l) = -27*l - 1. What is h(-2)?
53
Let g(v) = 3*v**2 + 32*v + 99. Calculate g(-5).
14
Let s(z) = z**3 - 13*z**2 + z + 10. Give s(13).
23
Let k(b) = -b**3 + 2*b**2 + b + 1. Give k(-2).
15
Let x(f) = f**3 - 23*f**2 - 10. Calculate x(23).
-10
Let g(u) = -5*u + 12. What is g(4)?
-8
Let a(v) = 4*v**2 - 8*v - 20. Determine a(-2).
12
Let n(j) = j**3 - 7*j**2 - 10*j - 12. Determine n(8).
-28
Let i(g) = 3*g + 7. What is i(-4)?
-5
Let b(z) = -7*z - 2. Calculate b(5).
-37
Let t(q) = 2*q**2 - 2. Calculate t(3).
16
Let v(c) = -c**2 + 34*c + 48. Determine v(36).
-24
Let f(b) = b**3 + 8*b**2 + 12*b - 2. Determine f(-6).
-2
Let p(d) = -13*d - 345. Calculate p(-27).
6
Let y(a) = a**2 + 5*a - 335. What is y(-21)?
1
Let h(l) = -14*l - 276. Determine h(-19).
-10
Let p(b) = -b**3 + 5*b**2 - b. What is p(5)?
-5
Let z(m) = -2*m + 21. Determine z(7).
7
Let f(l) = -4*l + 4. Give f(2).
-4
Let u(x) = -x**3 + 9*x**2 + 15*x - 21. What is u(11)?
-98
Let w(n) = -2*n - 1. Calculate w(5).
-11
Let r(x) = x**2 + 11*x. Determine r(-14).
42
Let b(s) = -15*s**2 + 3*s - 4. What is b(1)?
-16
Let q(k) = k**3 + 14*k**2 - 9*k + 84. What is q(-15)?
-6
Let x(h) = -38*h + 58. Give x(2).
-18
Let i(q) = q**2 + 13*q + 20. What is i(-9)?
-16
Let n(h) = 6*h - 1. What is n(4)?
23
Let z(v) = -6*v - 57. Give z(-6).
-21
Let x(u) = 2*u**2 + 32*u - 94. What is x(-19)?
20
Let g(z) = -z**3 - 2*z**2 + 3*z + 9. Determine g(-3).
9
Let w(l) = -2*l**3 - 4*l**2 + l + 2. Calculate w(2).
-28
Let o(l) = -l**3 - 2*l**2 - 4*l + 49. What is o(6)?
-263
Let d(r) = -r**3 - 4*r**2 - 2*r + 1. Determine d(-3).
-2
Let k(v) = v - 28. What is k(11)?
-17
Let o(w) = 15*w - 40. Give o(9).
95
Let o(a) = 11*a - 303. Determine o(29).
16
Let w(r) = r - 7. What is w(6)?
-1
Let g(d) = -4*d**2 - 2*d + 4. Give g(-3).
-26
Let l(b) = b + 22. What is l(-19)?
3
Let w(v) = -v**2 + 14*v + 20. Give w(16).
-12
Let l(o) = o**2 + 7*o - 18. Give l(-10).
12
Let b(w) = -w**3 + 9*w**2 + 2*w + 12. What is b(9)?
30
Let h(p) = p + 2. Calculate h(-7).
-5
Let n(p) = p**2 + 5*p + 7. Calculate n(-5).
7
Let s(q) = q**2 - q. Calculate s(-1).
2
Let u(k) = 3*k**2 + 50*k + 31. Determine u(-16).
-1
Let v(b) = 18*b + 11. What is v(6)?
119
Let q(g) = 4*g - 3. What is q(-1)?
-7
Let u(r) = -2*r**2 + 19*r - 15. Determine u(13).
-106
Let a(u) = 2*u - 3. What is a(3)?
3
Let o(r) = -r**2 - 3*r + 27. Give o(-6).
9
Let p(h) = -h**2 - 13*h - 48. Determine p(-7).
-6
Let d(p) = -p**3 - p**2 + 4. Give d(2).
-8
Let s(l) = l* | {
"pile_set_name": "DM Mathematics"
} |
*3 + 3*j**3 + (2 + 3 - 7)*(0*j**2 - 3*j**3 + 0*j**2).
5*j**3
Expand (2*v**3 - 4*v**3 + 3*v**3)*(4*v**2 + 11*v**2 - 5*v**2).
10*v**5
Expand -6*v + 2 + 2*v + 2*v + (2*v + 1 - 1)*(4 + 0 - 3) + 2 + 2*v - 2.
2*v + 2
Expand (-2 - 2*r + 2)*(-r - 2*r + 0*r)*(0*r**2 + 0*r**2 - 5*r**2).
-30*r**4
Expand -12*m**4 + 3*m**4 + 0*m**4 - 3*m**4 - 3*m**4 + 4*m**4 + (4*m**2 + m**2 - 2*m**2)*(3*m**2 - 2*m**2 + m**2).
-5*m**4
Expand (-2 + 2 + 2*y)*(-2*y - 3*y + 0*y).
-10*y**2
Expand (-k - k + 3*k)*(-k**2 - k**2 + k**2) + 2*k**3 - 4*k**3 - 2*k**3 + (-3 + 3 - k)*(-3*k**2 - 4*k**2 + 5*k**2).
-3*k**3
Expand i - 4*i + 5*i + (3 - 3 - i)*(0 + 4 - 3) + 19*i + 11*i - 5*i.
26*i
Expand ((-5 + 0 + 2)*(-3*j + 4*j - 3*j) + 3*j - 5*j + 3*j)*(5*j + 1 + 3*j - 6*j).
14*j**2 + 7*j
Expand -r**3 + 2*r**5 + r**3 - 2*r**4 - 2*r**5 + 2*r**4 - 2 - 2*r**5 + 2 + (3*r**5 - 2*r**5 - 2*r**5)*(0 - 3 + 5) + 3*r**2 - 2*r**5 - 3*r**2.
-6*r**5
Expand (t**2 - 2*t**2 - t**2)*(-2*t + 2*t**2 + 2*t) - 15 + 5*t**4 + 15.
t**4
Expand (o**2 - 5*o**2 + 3*o**2)*(7*o**3 - 4*o**3 + 0*o**3 + 1).
-3*o**5 - o**2
Expand (-2*i**3 + 0*i**3 + 6*i**3)*(-3 + 4 - 2)*(2*i + 2*i - 5*i).
4*i**4
Expand (l + 3*l + 0*l + (3 - 7 + 3)*(0*l - l + 4*l))*(0*l**2 - l**2 + 0*l**2).
-l**3
Expand (0*d**3 - d**3 + 5*d**3)*(-4 + 0 + 2*d**2 + 2) + d**5 + d**4 - d**4.
9*d**5 - 8*d**3
Expand (5*p - 2*p + 2*p)*(p**4 - 2*p**4 - p**4) - 2*p**5 + p**3 + p**3 - p**3.
-12*p**5 + p**3
Expand (4 - 4 + 1)*(-c**2 + 0*c**2 + 0*c**2)*(-2 + 2 + 2*c)*(2*c + 1 - 1).
-4*c**4
Expand (-4*j**2 + j**3 + 4*j**2)*(-4*j**2 - j + j) + 4*j**5 - 2*j**5 + 0*j**5.
-2*j**5
Expand (-y - 1 + 1)*(3*y**4 + 0*y**2 + 0*y**2) + (3 - 7 + 1)*(-3*y**5 - 3*y**5 + 3*y**5).
6*y**5
Expand (-5*v + v - 2*v)*(-2*v + 4*v + v).
-18*v**2
Expand ((1 - 3 + 0)*(2*t - 7*t + 3*t) + t - 4 + 4 + 2*t - t + 4*t)*(3 - 2 + 0).
10*t
Expand 0 + 2*b**2 + 0 - 2*b**2 + 0*b + 0*b + (-1 - 2*b + 1)*(-b + 5*b - 3*b) + (-5 + 2 + 2)*(-4*b**2 + 4*b**2 + 2*b**2).
-4*b**2
Expand (-q**3 - 2*q**3 + q**3)*((0*q**2 + 0*q**2 - 2*q**2)*(0 - 3 + 1) - 3*q**2 - q**2 + 2*q**2).
-4*q**5
Expand (4*t**2 - 3*t**2 - 3*t**2)*(-2 + 0 + 3) - t + 22*t**2 - 36*t**2 + 2*t.
-16*t**2 + t
Expand 2*k**3 - 3*k + 3*k + (2*k - k - 2*k)*(3*k**2 - k**2 + k**2) + 4 - 4 - k**3.
-2*k**3
Expand (0 - 2 + 0)*(4*k - 2*k - k) - 6*k + 404 - 404.
-8*k
Expand (-1 - 1 + 0)*(4 + 5 - 3)*(-2*r + 3*r + r).
-24*r
Expand (35 + 4 + 7*n**2 - 9*n**2)*(-2*n**3 - n**3 + 2*n**3).
2*n**5 - 39*n**3
Expand (-2 - 2 + 3)*(-5*c**2 + 2*c**2 + c**2) + 2*c**2 - c**2 + c**2.
4*c**2
Expand (-5*z**3 + 2*z**3 + 4*z**3)*(3 + 1 - 6)*(1 - 4 + 5).
-4*z**3
Expand (s + 0*s - 4*s)*(s + s - s)*(0 - 3 + 2)*(0 - 1 - 1)*(2 + 4*s - 2).
-24*s**3
Expand (2*x - 6*x + 2*x)*(-2 - 1 + 5) - x - x + 4*x + 10 - 10 - x.
-3*x
Expand (4 - 4*m - 4)*(3 - m - 3)*(5 - 1 - 1).
12*m**2
Expand -2*d**5 - 2*d**5 - 2*d**5 + (3 - 4 - 2)*(8*d**5 - d**4 + d**4).
-30*d**5
Expand (-r - 2*r + 6*r)*(1 - 2 + 0 + (-2 - 1 + 4)*(2 + 0 - 3) + 0 + 1 + 0 + 0 + 2 - 4).
-9*r
Expand (2*u - 3*u - u)*(-5*u + 2*u + 2*u + (3 - 3 - 2)*(-1 + 1 + u)).
6*u**2
Expand (-c + 2*c - 4*c)*(4*c - 7*c + 2*c) + (1 - 1 - c)*(7*c - 9 + 9).
-4*c**2
Expand 4*o**3 + 0*o**3 - 2*o**3 + (-4 - 3*o + 4)*(o + 2*o**2 - o) - 3 - 3*o**3 + 3.
-7*o**3
Expand (11*d - 11*d + 5*d**2)*(-4*d**3 + 0*d**3 + 2*d**3).
-10*d**5
Expand -5*n**2 - n**2 + 4*n**2 + 3*n**2 - 4*n + 4*n + (n + 7 - 7)*(3 - 3 + 2*n).
3*n**2
Expand (2*k**3 + 3*k**3 - 4*k**3)*(4 - 4 - 2*k) + k**4 + 2*k**4 - 5*k**4 - 1 + 1 - 2*k**4 + (-3*k**3 + 2*k - 2*k)*(2*k + 3 - 3).
-12*k**4
Expand (-p - 3 + 3)*(-13*p + 12*p - 17*p)*(-2 - 4 + 1).
-90*p**2
Expand 2*j + 3 - 3 + (0 + 1 - 2)*(-2*j + 4*j - 4*j) + 7*j + 0*j - 10*j.
j
Expand -x**3 - 2*x**2 + 2*x**2 + (0 + 0 + 2*x)*(-4*x**2 - x**2 + 2*x**2) + 2*x**3 - 3*x**3 + 2*x**3 - 2*x**3 - 3*x**3 + 4*x**3 - 4*x**3 + 5*x**3 + x**3.
-5*x**3
Expand (0*n - 4*n**2 + 0*n)*(-n**2 + n**2 + 2*n**2).
-8*n**4
Expand h - 2*h + 0*h - 8 + 4 + 2*h + 2 - 4*h + 4*h + 3*h - 5*h + 4*h + 0*h + 5 - 5 - h + (2 + 1 - 1)*(0 - 2*h + 0) + h + h - 4*h.
-4*h - 2
Expand (2*x + 0*x + 0*x)*(-2*x + 21*x**2 + 4*x - x).
42*x**3 + 2*x**2
Expand (-1 + 1 + 2*b**3 - b**4)*(-2*b + 6*b + 2*b)*(-2 + 2 + 2).
-12*b**5 + 24*b**4
Expand (-3 + 1 + 3 - 1 + 0 + 0 + (0 + 3 - 6)*(3 - 2 + 0))*(-1 + 1 + 2*k).
-6*k
Expand 40*s**3 - 1620*s**2 + 1620*s**2 + (-s**2 + s**2 + s**2)*(s - 5*s + 2*s).
38*s**3
Expand (-11*r**4 + 14*r**4 - 14*r**4)*(-1 + 1 + r) + (-r**2 + r**2 + 2*r**5)*(1 + 1 - 1) - r**5 - 3*r**3 + 3*r**3.
-10*r**5
Expand (-11 + 24 - 5)*(11 + 3*k**2 - 12 - 11*k**2).
-64*k**2 - 8
Expand (11 - 1 + 2)*(4 - 2*i - 4) - 10 + 10 + 2*i.
-22*i
Expand (3*u - 2*u + 0*u)*(8*u**2 + 0*u**2 - 3*u**2) + u - u - u**3.
4*u**3
Expand 16*c**2 - 16*c**2 + 13*c**5 + c**5 + 3*c**4 - 3*c**4 + (-5*c**4 + 3*c**4 + 0*c**4)*(-1 + 2*c + 1).
10*c**5
Expand (-2 + 1 + 2)*(0*l - 5*l + 2*l) + 2*l - l - 4*l.
-6*l
Expand ((-z - 3*z + 5*z)*(-1 + 1 + 2*z) - 2*z**2 + 3*z**2 - 4*z**2 + 2*z**2 - 2*z + 2*z)*(-2*z + 4*z + 0*z) + (-1 + z**2 + 1)*(0*z + 2*z + 0*z).
4*z**3
Expand -2*z**2 - 3*z + 3*z + (2*z + 0*z + 9*z)*(0*z - 2*z + 0*z) + 0 + 2*z**2 + 0.
-22*z**2
Expand -7 - 3 + 4 - 2*r + 0 + 2*r + 0 - r + 1 - 1 + (1 - 1 + 2)*(0 + r + 0) - 3*r - 3*r + 7*r.
2*r - 6
Expand (-2 + 2 - 3*i)*(-6 + 1 + 0).
15*i
Expand (-4*w + 6*w**4 + 4*w + 2*w**4 - 2*w**4 - 2*w**4 - 4*w**4 + 6*w**4 - w**4 + (-1 + 1 + w**3)*(0*w + 0*w - 2*w))*(1 + 0 + 1) - w + w**4 + w.
7*w**4
Expand (-1 - 5 + 4)*(-21*f - 19*f + 29*f)*(-4*f**2 + 5*f**2 + f**2).
44*f**3
Expand (-3*g**2 + g**3 + 3*g**2)*((-2 + 2 - 1)*(-4 + 3 - 1) + 0 + 2 - 6 + (1 - 4 + 2)*(-3 + 2 + 0))*(g**2 + 0*g**2 + 0*g**2).
-g**5
Expand (-5*t + 3*t + t)*(-t - t + 3*t - 2 - t + 2 + (-1 + 0 - 1)*(0 + 0 - 2*t) + 3*t - 4*t + 2*t - t + 3*t - 4*t - 4 - 2*t + 4)*(0*t**2 - 2*t**2 + 0*t**2).
2*t**4
Expand 3*f - 3*f - 2*f**4 + 4*f**4 - 4*f**4 - f**4 + (f**2 + 2*f**3 - f**2)*(0 + 0 + 2*f) - 2*f**4 - f**4 + 4*f**4 + f**4 - f**3 + f**3.
3*f**4
Expand (-p**2 - p**2 + p**2)*(15*p**3 + 3 - 3) + 2*p**5 + 2*p - 2*p.
-13*p**5
Expand (d + d + 0*d + (2*d - 4*d + 0*d)*(1 - 4 + 2))*(14*d**3 + 5*d - 5*d).
56*d**4
Expand (-4 + 2 + 1)*(-r - 3*r + 5*r) + (-2*r - r + 4*r)*(1 + 8 - 1) - r + 0*r + 2*r + 3.
8*r + 3
Expand (0*v - 2*v + 0*v)*(5 - 4 + 0) + 9*v - 5*v + 7*v + (-3 + 2 + 2)*(3*v + 2 - 2).
12*v
Expand (-3*q - 4*q - 6*q)*(0*q**2 + q**2 - 3*q**2) + (-2*q**2 + 4*q**2 - q**2)*(2*q + 3 - 3) - 4*q - q**3 + 4*q.
27*q**3
Expand (2*v + 5 - 5)*((-4 + 3 + 4)*(2 + 2*v - 2) + 4*v - 6*v + 0*v).
8*v**2
Expand (-2 - 6 + 2 - 4 + 0 + 2 + 1 - 1 + 1 + (3 - 3 + 2)*(-4 - 2 + 5))*(3 - 3 + r)*(0 + 1 + 1).
-18*r
Expand (k + 3*k - 5*k)*(-2*k + 29 - 25 - k).
3*k**2 - 4*k
Expand (0*k**2 + 2*k**2 - 4*k**2)*(0 + 5 - 3 + (1 + 1 - 4)*(1 + 3 - 1))*(2*k - 2*k - k).
-8*k**3
Expand (10 - 2 + 14)*(-4 + 0 + 6)*(-q**3 + 0*q + 0*q).
-44*q**3
Expand -4 + a + 10 + a + (-2*a - 3*a + a)*(1 + 2 - 5).
10*a + 6
Expand (-3*q + 6*q - 2*q)*(1 + 2*q**3 - 1) + (-q + 4*q**2 - 5*q**2 + 0*q)*(0*q**2 - 2*q**2 + q**2).
3*q**4 + q**3
Expand -b**5 - 7*b**5 + 0*b**5 + (-3 - b + 3)*(-b**2 - b**4 + b**2) + (3 - 3 - 2*b**5)*(-4 + 2 + 1).
-5*b**5
Expand 1 + 5 - 4 - x - 4*x + 3*x + 3*x - 2*x + 4 - 4 + (x - 1 + 1)*(-22 - 49 + 23).
-49*x + 2
Expand f**3 - 5*f**3 + 7*f**3 + f + f**3 - 2 - f - 2*f + 2*f**3 + 2*f + (0*f + f + f)*(-2*f**2 - 1 + 1).
2*f**3 - 2
Expand (2*l - 3*l + 2*l)*(-3*l + 2*l - l)*(17 - 17 - 8*l).
16*l**3
Expand h**5 - 3*h**5 + 0*h**5 + (2*h - h - 2*h)*(2*h**4 - h**4 + h**4).
-4*h**5
Expand 2*d - d**2 - 2*d + 20*d**2 + 38 - 38 + (-d + 2 - 2)*(0*d + 2*d + 0*d) + 3*d - 3*d + d**2.
18*d**2
Expand (-5*m + 4*m + 2*m)*(-1 - 5 + 3).
-3*m
Expand (0*b**2 - 4*b**2 + 0*b**2)*(-4 - 1 + 1).
16*b**2
Expand (1 - 1 - c)*(2*c - 5*c + 0*c).
3*c**2
Expand 3*w**5 - 4*w**5 + 2*w**5 + (-2*w + 1 - 1)*(28*w**2 - 33*w**2 + 5*w**4 + w**4).
-11*w**5 + 10*w**3
Expand (3 + 4 + 9)*(2 - 2 + 2)*(-2*z + 2*z + z).
32*z
Expand -t**3 - t**3 - t**3 + (t**3 + t**3 - 3*t**3)*(3 - 6 + 4).
-4*t**3
Expand 3*i - 3*i + 3*i + (0 + 1 - 3)*(4*i - 4*i - i) - 4*i - 3*i + 4*i.
2*i
Expand (4 - 3 - 3)*(-7*c**2 + 9 - 9).
14*c**2
Expand (0 - 1 + 3)*(2*v + v - 2*v) - 6*v + 4*v + 7*v + (2 + 3 - 4)*(2*v + 1 - 1).
9*v
Expand (4 - 1 - 1)*(v + v**3 - v) + 5*v**3 + 0*v**3 - 4*v**3 - 4*v**3 - v**3 + 6*v**3 + (0 - 4 + 0)*(-4*v**3 + 3*v**3 + 3*v**3).
-4*v* | {
"pile_set_name": "DM Mathematics"
} |
n base 6, what is 144 + 1?
145
In base 4, what is -212 - 20?
-232
In base 15, what is 9cb4 + -3?
9cb1
In base 9, what is -171 - -14?
-156
In base 16, what is 2 - 3a?
-38
In base 7, what is 4 - -1535?
1542
In base 9, what is -4350 - 2?
-4352
In base 4, what is 1113 + 1?
1120
In base 9, what is 203 - 2?
201
In base 14, what is 6 - 19a8?
-19a2
In base 5, what is 330 + -140?
140
In base 2, what is 1101000111 - -100?
1101001011
In base 9, what is 11 - 3585?
-3574
In base 15, what is 3 + 1e7?
1ea
In base 8, what is 0 - 105?
-105
In base 13, what is -5 + 105?
100
In base 4, what is 1030 - 11?
1013
In base 2, what is -1011010 - -110?
-1010100
In base 7, what is -5 - -325?
320
In base 10, what is -3 - -534?
531
In base 3, what is 120 - 111?
2
In base 15, what is -8 - -30?
27
In base 13, what is -b3 - -3?
-b0
In base 10, what is 40 - 2?
38
In base 13, what is 2 + -3c?
-3a
In base 12, what is -12 - 494?
-4a6
In base 3, what is -2 + -1011?
-1020
In base 2, what is -100011100000 - -101?
-100011011011
In base 12, what is -10 - 19?
-29
In base 8, what is 0 - -251?
251
In base 5, what is -20422 - 10?
-20432
In base 2, what is 10000000 - -101?
10000101
In base 2, what is -10 + -111011110?
-111100000
In base 8, what is 31467 + 0?
31467
In base 11, what is 875 - -2?
877
In base 12, what is 3 - -64?
67
In base 4, what is -110230 - 11?
-110301
In base 11, what is -1 + -62?
-63
In base 9, what is 11 + -10?
1
In base 7, what is 30 - -11?
41
In base 15, what is -13 + -27?
-3a
In base 12, what is -8 + -ab?
-b7
In base 8, what is -514 - 30?
-544
In base 7, what is -3631 - 3?
-3634
In base 2, what is -11011000111 + 10?
-11011000101
In base 13, what is -3 + 88?
85
In base 10, what is -32 - 24?
-56
In base 8, what is 64 - -72?
156
In base 9, what is -38 + 8?
-30
In base 13, what is 21 - 4?
1a
In base 11, what is 6 - 20?
-15
In base 11, what is 766 - -2?
768
In base 15, what is -3e - 1?
-40
In base 10, what is 4 - 153?
-149
In base 3, what is -2 + 22012?
22010
In base 7, what is 1 - -125?
126
In base 10, what is -857 - 6?
-863
In base 15, what is -e9 + 4?
-e5
In base 15, what is -1b3 - -7?
-1ab
In base 2, what is 100001010100 + 1000?
100001011100
In base 8, what is -135 + 270?
133
In base 12, what is 235 + -2?
233
In base 7, what is 151400 + -5?
151362
In base 11, what is 3 - -85?
88
In base 11, what is -30 + 3?
-28
In base 14, what is -10 + -23?
-33
In base 3, what is -10 + 1202020?
1202010
In base 5, what is 1212 - -321?
2033
In base 13, what is 39 + 3?
3c
In base 10, what is -3 - 942?
-945
In base 8, what is -75 + -15?
-112
In base 5, what is 2201 + -1?
2200
In base 7, what is -100 - 113?
-213
In base 4, what is 20 - 1?
13
In base 12, what is 2b + -6a?
-3b
In base 12, what is -246 - -31?
-215
In base 7, what is 4321 - -5?
4326
In base 14, what is b + -13?
-6
In base 2, what is -101011 + -11?
-101110
In base 12, what is b - 187?
-178
In base 5, what is 1314 - 244?
1020
In base 15, what is -9b - -2?
-99
In base 8, what is -11 + 70?
57
In base 9, what is -17 - 14?
-32
In base 16, what is -4 - 6f?
-73
In base 3, what is 22210101 - 1?
22210100
In base 5, what is 1 + 111303?
111304
In base 13, what is -4 + 39?
35
In base 6, what is 4 + -5305?
-5301
In base 4, what is 122 + -110?
12
In base 16, what is -3 + b?
8
In base 14, what is -23dd + 0?
-23dd
In base 8, what is -22 - -3?
-17
In base 10, what is 3 - -31?
34
In base 8, what is 7 - -4263?
4272
In base 16, what is -c - 7?
-13
In base 13, what is 2 + -2a66?
-2a64
In base 15, what is 0 - 16a?
-16a
In base 11, what is 159 + 3?
161
In base 15, what is 5 + 1092?
1097
In base 15, what is d + 26?
34
In base 9, what is 27 + 353?
381
In base 8, what is 12655 + 2?
12657
In base 6, what is 2 + -340?
-334
In base 3, what is -12 - -12220?
12201
In base 4, what is 310 - 33?
211
In base 14, what is 3 - -98?
9b
In base 11, what is -a - 336a?
-3379
In base 5, what is -122 - 243?
-420
In base 11, what is -1 - 2220?
-2221
In base 7, what is -46 - -2?
-44
In base 2, what is 0 + 100011100?
100011100
In base 15, what is 1 + a7?
a8
In base 12, what is -35a + -24?
-382
In base 10, what is -3536 - -2?
-3534
In base 15, what is -403 + -2?
-405
In base 8, what is -1 - 1236?
-1237
In base 15, what is b + 20?
2b
In base 2, what is 1111 - -11101001?
11111000
In base 6, what is 5 - -114?
123
In base 15, what is -3 - -28?
25
In base 8, what is 3 + -76?
-73
In base 10, what is -39 + 2?
-37
In base 12, what is 89 + -5?
84
In base 14, what is 213 + 39?
24c
In base 13, what is -c0c + 4?
-c08
In base 3, what is -1 + 221221?
221220
In base 12, what is 156 - -6?
160
In base 9, what is 1135 + -2?
1133
In base 2, what is -1011101011 + 10?
-1011101001
In base 10, what is 110 + -2?
108
In base 2, what is 101 - 10010111000?
-10010110011
In base 8, what is -10 - 136?
-146
In base 14, what is -8 - dc?
-106
In base 2, what is 1001000010 - -11?
1001000101
In base 5, what is -131 - 13?
-144
In base 8, what is 0 - 2020?
-2020
In base 13, what is -5 - -10c?
107
In base 5, what is -10310 - -4?
-10301
In base 14, what is 1a + 0?
1a
In base 13, what is -5 + -22?
-27
In base 15, what is -18 - 52?
-6a
In base 5, what is 213 + -112?
101
In base 11, what is 15 - -142?
157
In base 15, what is -1378 - 5?
-137d
In base 13, what is 44 - -6?
4a
In base 14, what is -1 + -a3?
-a4
In base 3, what is 11222012 - -2?
11222021
In base 6, what is 5153 - -3?
5200
In base 2, what is -100 - 1000001010?
-1000001110
In base 5, what is 140323 + -10?
140313
In base 5, what is -10433 - 4?
-10442
In base 14, what is -5 - 22?
-27
In base 8, what is -4 - -20?
14
In base 16, what is 19 - -1?
1a
In base 11, what is -379 - -a?
-36a
In base 8, what is 16022 - 2?
16020
In base 4, what is -12 + 310?
232
In base 15, what is 6 + 245?
24b
In base 6, what is 34 - 30?
4
In base 3, what is -1 + -200001?
-200002
In base 11, what is 12a4 + 3?
12a7
In base 5, what is 12 + -24?
-12
In base 8, what is 2 - -3115?
3117
In base 5, what is -4 - -131?
122
In base 2, what is 100 + 110100010?
110100110
In base 6, what is 1 + 3?
4
In base 10, what is -8444 + 3?
-8441
In base 5, what is 124 + -424?
-300
In base 13, what is 2 + -567?
-565
In base 14, what is -16ad + 4?
-16a9
In base 13, what is 52 + 3?
55
In base 5, what is -1 + 1001?
1000
In base 11, what is 45a - 4?
456
In base 13, what is -324 - 2?
-326
In base 6, what is -2 + -14?
-20
In base 13, what is 6c - -3?
72
In base 2, what is 101 - -101100011?
101101000
In base 16, what is -f + b2?
a3
In base 5, what is -1 + -21?
-22
In base 8, what is 2006 + 0?
2006
In base 11, what is 14 + -41?
-28
In base 4, what is 310 + -1?
303
In base 14, what is -2a + 1a?
-10
In base 13, what is c + 2?
11
In base 2, what is -10001 - -1?
-10000
In base 4, what is 2113 + 10?
2123
In base 15, what is -2 - -3c2?
3c0
In base 4, what is 3 - -131100?
131103
In base 16, what is -3 - -27?
24
In base 5, what is -10 - -23332?
23322
In base 4, what is 201 - 30?
111
In base 10, what is 10 - -14?
24
In base 16, what is -c - 9?
-15
In base 11, what is 146 - 7?
13a
In base 13, what is -5 + 42?
3a
In base 10, what is -865 + 0?
-865
In base 9, what is 2 + 4452?
4454
In base 14, what is -4 + 2c?
28
In base 6, what is 455 - 0?
455
In base 11, what is 5 - -77?
81
In base 7, what is -403 - 13?
-416
In base 3, what is -211 + 102011?
101100
In base 12, what is -1b + 2a8?
289
In base 15, what is 13 - 5c?
-49
In base 8, what is -261 + -4?
-265
In base 6, what is -22 - 14?
-40
In base 12, what is -38 + 3?
-35
In base 14, what is 24 + 2?
26
In base 14, what is 5 - 54?
-4d
In base 6, what is 413 - 3?
410
In base 8, what is -240 - 5?
-245
In base 3, what is -2 - 21?
-100
In base 3, what is -22 + -11000?
-11022
In base 16, what is 1 + -2c?
-2b
In base 7, what is -16 + 123?
104
In base 4, what is 1200122 + 10?
1200132
In base 3, what is 11100 - 1220?
2110
In base 13, what is 24 + 1?
25
In base 4, what is -33201 + 11?
-33130
In base 9, what is 2 + -1057?
-1055
In base 13, what is -ab + 3?
-a8
In base 4, what is 2101 - 1?
2100
In base 11, what is -496 - 3?
-499
In base 7, what is 4 + -143?
-136
In base 15, what is 0 + 61?
61
In base 2, what is 101011011 - 100?
101010111
In base 5, what is -11 - 310?
-321
In base 9, what is -5 - -87?
82
In base 14, what is -7b81 + -3?
-7b84
In base 16, what is -3 - 80?
-83
In base 4, what is | {
"pile_set_name": "DM Mathematics"
} |
261*z + 3329. Calculate b(-247).
-129
Let g(t) = -5227*t + 31536. What is g(6)?
174
Let u(a) = a**2 - 454*a - 16060. What is u(-33)?
11
Let h(r) = 2*r**2 + 730*r + 58329. Calculate h(-117).
297
Let h(d) = -d**2 - 1379*d - 471108. Give h(-624).
12
Let n(b) = -b**3 - 27*b**2 - 1193*b - 34214. Calculate n(-28).
-26
Let v(c) = -4*c**2 - 410*c + 954806. Calculate v(440).
6
Let m(u) = 10*u**3 + 26*u**2 + 98*u + 15. Give m(-4).
-601
Let c(p) = p**2 - 44378*p - 266303. What is c(-6)?
1
Let b(a) = a**3 + 507*a**2 + 696*a + 96088. Calculate b(-506).
-52
Let t(b) = 23*b**2 + 1157*b + 2553. Calculate t(-48).
9
Let p(y) = 82*y**2 - 30*y - 19. Determine p(-1).
93
Let t(o) = 2*o**3 - 15*o**2 + 129*o - 636. Give t(6).
30
Let q(i) = 3*i**3 - 99*i**2 - 323*i - 25. Determine q(36).
11
Let w(y) = 4*y**2 + 191*y - 1101. Give w(-53).
12
Let r(a) = -3774*a + 656601. Determine r(174).
-75
Let u(h) = 1168*h + 26822. Give u(-23).
-42
Let v(l) = -2*l**2 - 2400*l - 466528. Calculate v(-244).
0
Let q(x) = 246*x + 8078. Give q(-34).
-286
Let w(y) = -y**3 + 628*y**2 + 2522*y - 48. What is w(-4)?
-24
Let t(w) = -5*w**2 - 969*w - 5322. Determine t(-188).
130
Let b(o) = -109*o**2 - 15151*o + 46440. Calculate b(3).
6
Let a(r) = -2*r**2 + 86*r - 903. Calculate a(18).
-3
Let g(k) = 7*k**2 + 537*k - 796. Calculate g(-76).
-1176
Let j(u) = 65*u - 41799. Calculate j(643).
-4
Let g(k) = 1293*k**2 - 34916*k + 125. Give g(27).
-10
Let m(h) = -77440*h - 39262074. Determine m(-507).
6
Let s(m) = 5920*m**2 - 53284*m + 42. What is s(9)?
6
Let p(o) = 7694*o + 1023304. What is p(-133)?
2
Let y(v) = 21*v**3 - 96*v**2 + 38*v + 51. What is y(1)?
14
Let z(t) = -t**3 + 29*t**2 + 45*t + 2667. What is z(33)?
-204
Let x(n) = n**2 - 26*n + 378. Determine x(0).
378
Let n(b) = -12*b**3 - 385*b**2 - 13*b - 152. Calculate n(-32).
-760
Let d(w) = 2142*w - 17122. Determine d(8).
14
Let a(o) = o**3 - 2*o**2 - 1088*o + 8597. Calculate a(8).
277
Let q(w) = w**2 - 21*w - 88. Determine q(36).
452
Let j(a) = -1085*a + 8916. Give j(8).
236
Let a(g) = 322*g - 3100. Determine a(9).
-202
Let w(k) = -8*k**3 - 117*k**2 - 113*k - 2341. Calculate w(-15).
29
Let t(a) = 25*a**3 - a**2 + 39*a + 152. Determine t(-3).
-649
Let i(m) = m**2 + 980*m - 17896. What is i(18)?
68
Let j(l) = 3757*l + 94272. Calculate j(-25).
347
Let u(o) = 63*o**2 + 202*o - 47. Give u(-3).
-86
Let o(p) = -11*p**2 + 1856*p + 2410. Determine o(170).
30
Let d(r) = r**2 + 4*r - 4441. Calculate d(-68).
-89
Let n(o) = 993*o + 11225. What is n(-11)?
302
Let g(x) = 7*x**2 - 1694*x + 13405. Give g(8).
301
Let p(f) = -f**3 + 877*f**2 + 85916*f + 56025. Give p(966).
-3
Let w(i) = 4*i**2 - 515*i - 8305. Calculate w(-17).
1606
Let s(q) = -214071*q - 1070324. What is s(-5)?
31
Let y(a) = 20*a**3 + 98*a**2 - 65*a + 8. Determine y(-7).
-1595
Let q(o) = -32370*o - 873968. Calculate q(-27).
22
Let q(d) = -5*d**3 + 409*d**2 - 196*d - 41925. Determine q(80).
-5
Let k(x) = -x**3 + 391*x**2 - 12137*x - 340. Give k(357).
17
Let g(i) = i**3 - 17*i**2 + 40*i + 85. Determine g(5).
-15
Let v(q) = 1142*q + 22352. Calculate v(-20).
-488
Let q(o) = -19*o**2 + 497*o - 2390. Determine q(20).
-50
Let j(o) = o**2 - 4049*o - 545. What is j(0)?
-545
Let r(u) = -68*u**3 - 410*u**2 - u + 25. Give r(-6).
-41
Let s(q) = q**3 + 12*q**2 - 44*q - 290. Calculate s(-14).
-66
Let i(k) = -6*k**2 + 3095*k - 11653. Determine i(512).
123
Let i(r) = 13*r**2 + 1620*r - 76137. Give i(-161).
16
Let c(n) = 155546*n + 155523. Determine c(-1).
-23
Let c(z) = 153*z + 2557. Give c(-17).
-44
Let v(p) = p**3 + 92*p**2 + 212*p + 634. Determine v(-90).
-2246
Let p(t) = -242602*t + 2911206. Determine p(12).
-18
Let w(l) = -l**3 - 32*l**2 + 59*l - 149. What is w(-35)?
1461
Let p(w) = 49656*w - 108. Give p(0).
-108
Let p(i) = -i**3 - 36*i**2 - 949*i - 31993. Determine p(-35).
-3
Let p(u) = 7*u - 585. What is p(-111)?
-1362
Let g(z) = 600*z - 4168. Give g(4).
-1768
Let x(o) = o**2 + 13151*o - 91982. What is x(7)?
124
Let k(d) = 3470*d - 409451. What is k(118)?
9
Let t(r) = -8803*r - 35262. Calculate t(-4).
-50
Let t(g) = 7*g**2 + 76*g + 144. What is t(-6)?
-60
Let t(l) = -42359*l**2 + 42378*l + 1. Give t(1).
20
Let y(h) = 395*h**2 - 1567*h - 12. Give y(4).
40
Let v(h) = h**3 + 378*h**2 + 35714*h + 43071. Give v(-173).
-6
Let n(r) = -29*r**3 - 1804*r**2 - 381*r - 554. Determine n(-62).
4
Let q(n) = n**3 + 144*n**2 + 1209*n + 317. Give q(-135).
1127
Let z(f) = -3038*f + 24299. Calculate z(8).
-5
Let i(q) = q**3 + 21*q**2 - 306*q - 5330. Calculate i(-13).
0
Let f(r) = 2*r**3 - r**2 - 9781*r + 39112. Give f(4).
100
Let n(g) = 21758*g - 61888. Calculate n(3).
3386
Let x(z) = 1944*z + 229459. Calculate x(-118).
67
Let u(p) = -4*p**2 - 130*p + 540. What is u(-41)?
-854
Let z(s) = -307*s - 32250. Calculate z(-108).
906
Let a(k) = -32*k - 2647. Give a(-84).
41
Let l(w) = w**2 + 1615*w + 22396. Determine l(-14).
-18
Let v(a) = -7*a**3 - 472*a**2 - 219*a + 228. Calculate v(-67).
1434
Let h(f) = f**3 - 79*f**2 + 1521*f - 1600. Calculate h(48).
-16
Let d(c) = -134*c + 73196. Determine d(546).
32
Let c(y) = -2860*y - 2099239. What is c(-734)?
1
Let m(t) = t**2 + 55*t - 110419. Calculate m(306).
47
Let c(h) = -3*h**2 + 1334*h + 6594. What is c(-5)?
-151
Let k(n) = n**3 + 92*n**2 + 356*n - 935. Calculate k(-6).
25
Let q(u) = -3*u**3 - 1255*u**2 + 835*u - 1249. Give q(-419).
8
Let v(k) = k**2 - 5178*k + 72295. Determine v(14).
-1
Let k(o) = -2*o**3 + 56*o**2 - 267*o - 100. Give k(21).
467
Let j(c) = 19*c**2 - 824*c + 290. What is j(43)?
-11
Let x(b) = -215*b**2 + 29040*b - 2051. What is x(135)?
-26
Let s(g) = -151*g**3 - 56*g**2 - 54*g + 3. Calculate s(-1).
152
Let v(m) = 776*m**2 + 7015*m + 267. Determine v(-9).
-12
Let y(a) = 12*a**2 + 175*a + 2445. Calculate y(-15).
2520
Let f(m) = -m**3 - 16*m**2 - 48*m - 202. Determine f(-9).
-337
Let v(p) = -146*p**2 - 30505*p + 1960. What is v(-209)?
79
Let l(p) = 387*p + 14300. Calculate l(-37).
-19
Let t(z) = 14283*z + 114250. Give t(-8).
-14
Let v(h) = 11*h**3 - 628*h**2 + 40*h + 980. Give v(57).
11
Let l(p) = 8*p**2 + 247*p + 1252. Calculate l(-8).
-212
Let g(n) = -21*n**2 + 26*n - 183. Determine g(5).
-578
Let g(v) = -v**3 - 14*v**2 - 93*v - 1434. Give g(-16).
566
Let l(u) = 494*u + 3182. Calculate l(-8).
-770
Let f(s) = -5593*s**2 - 206936*s + 195. What is f(-37)?
10
Let q(b) = -b**2 - 455*b + 129274. Give q(198).
-20
Let p(z) = -71*z + 4995. Calculate p(70).
25
Let r(k) = -312*k - 24840. Give r(-80).
120
Let h(l) = -l**3 + 153*l**2 - 3500*l + 63. Give h(125).
63
Let j(a) = 3*a**3 + 19*a**2 + 52*a + 52. Give j(-2).
0
Let z(i) = 93*i**2 - 211*i + 9. What is z(2)?
-41
Let w(n) = -8*n**3 + 733*n**2 + 307*n - 537. Give w(92).
2315
Let b(n) = 9474*n - 1620055. What is b(171)?
-1
Let i(h) = -4132*h - 136047. What is i(-33)?
309
Let g(v) = -v**2 - 31756*v + 3121681. Calculate g(98).
-11
Let c(h) = -h**2 + 32875*h + 230191. Determine c(-7).
17
Let w(y) = 132*y**2 + 2641*y - 5806. Give w(2).
4
Let o(g) = -29558*g + 945810. Determine o(32).
-46
Let i(o) = -30473*o + 1218888. What is i(40)?
-32
Let m(t) = 37*t + 962. What is m(32)?
2146
Let w(x) = -x**3 - 120*x**2 - 3860*x - 17385. Calculate w(-51).
6
Let v(f) = -3220*f + 28957. Determine v(9).
-23
Let j(k) = 412*k**2 + 3527*k - 117. Determine j(-8).
-1965
Let s(r) = -4099*r - 24071. Calculate s(-6).
523
Let q(o) = 2*o**3 + 523*o**2 - 329*o - 17557. Determine q(-262).
-3
Let s(h) = 88034*h + 264068. Determine s(-3).
-34
Let t(d) = -46*d**3 + 149*d**2 + 1757*d - 48. Calculate t(8).
-8
Let h(y) = y**2 + 63*y - 5417. Give h(46).
-403
Let p(j) = -2426*j - 1724906. What is p(-711)?
-20
Let o(f) = 94*f**2 - 8735*f - 9473. Determine o(94).
21
Let n(l) = -864*l - 9066. Give n(-12).
1302
Let g(k) = k**3 + 131*k**2 + 849*k + 11. Calculate g(-7).
144
Let m(i) = -2*i**2 + 593*i - 13048. What is m(24)?
32
Let z(a) = 433*a - 6979. What is z(16)?
-51
Let n(q) = 3*q**3 - 101*q**2 + 578*q + 63. What is n(26)?
-457
Let x(t) = 744*t - 11780. Calculate x(19).
2356
Let r(j) = -j**2 + j - 100. Calculate r(-7).
-156
Let p(t) = -2614258*t + 33985340. Calculate p(13).
-14
Let o(g) = -6*g**2 - 107*g - 461. Determine o(-15).
-206
Let m(z) = 10*z**2 - 422*z - 196. Give m(35).
-2716
Let c(l) = 9*l**2 + 384*l + 2307. What is c(-35)?
-108
Let a(s) = 8025749*s - 104334733 | {
"pile_set_name": "DM Mathematics"
} |
+ -9. Let k = 53 - 47. Let f be ((-3)/8)/(k/4). What is the nearest to 0 in f, x, -3/2?
f
Let n = 2.41 + -53.41. Let k = 1783.04 + -1732. Let j = k + n. Which is the nearest to 1/4? (a) 1 (b) -4 (c) j
c
Let k = 11 - 9. Let y be 9/(9/k) - -10. Suppose 4*p + 0*p + y = 0. What is the closest to 2/7 in -4, -1, p?
-1
Suppose 2*j - 4*o + 4 = 6*j, 3*j = 2*o - 12. Let y be 128/36 + j + 6/(-27). Which is the closest to 389? (a) y (b) 2 (c) 0.4 (d) -3
b
Let r = -609.5 + 609.8. Which is the closest to r? (a) -0.1 (b) 4/9 (c) -3 (d) 51
b
Let z = 18 + -17. Let t = 6501 - 6506. Which is the nearest to -18? (a) t (b) z (c) -3/7
a
Let x = -1908.7 - -1905.7. Let s be ((-2)/(-40))/((-70)/(-772)). Let w = -12/25 + s. Which is the nearest to w? (a) 4 (b) 0.1 (c) x
b
Let g = -205/3 - -69. Suppose -17*s = -15*s. Let m be ((3 - s) + -3)/(0 - 1). Which is the nearest to g? (a) -3/5 (b) 0.05 (c) m
b
Let t = 11 + -15. Let z = 1 - -24. Let l = 24.97 - z. What is the closest to -1 in 5, l, t?
l
Let s = 1938 + -1938.1. What is the nearest to -2.1 in 0.2, s, 5, 0?
s
Let v = 7864 + -7869. What is the nearest to 0.1 in 5, 3, v, 3/2?
3/2
Let x = 0.03 - -0.27. Let h = -2.9 + 3. Let g = -9599 + 9602. Which is the nearest to 1? (a) x (b) g (c) h
a
Let i be 0/(-7) - (-2)/110. Suppose 168 - 304 = -83*z + 30. What is the closest to z in -4, i, 2, 3?
2
Let s be (-2 + 0)*(-2)/(-22). Let g be (5525/(-91) - -63)*14/8. What is the closest to -0.4 in 6, s, g, 3/5?
s
Let s be (2/(0 + -1))/((-158)/237). Suppose -2*u + 7*u = 3*w + 1, -5*u - s*w = -19. Which is the closest to -4? (a) u (b) -0.9 (c) -2
c
Let h = -4.87467 - 0.12533. Which is the nearest to 5/4? (a) 5 (b) -3/4 (c) h (d) -0.1
d
Let p = 0.00841 + 0.99159. What is the nearest to p in -31, -3, -2/19?
-2/19
Let m be (6/((-36)/6))/(26/(-216)). Let q = m - 661/78. Let b = 13/115 - -2/23. What is the nearest to q in b, 3, -2/9?
-2/9
Let u = -2943 + 2949. What is the closest to 2/7 in u, -0.3, -3, -1?
-0.3
Let q be (1/4)/(26/(-16)). Let z = -0.7 - 0.3. Let o be (17/(1326/104))/(10/3). Which is the closest to o? (a) z (b) 3 (c) q
c
Suppose -27*n - 7 = -1 - 33. What is the nearest to -0.13 in -1, 0.1, n?
0.1
Let u = -0.14 - 0.16. Let k = 78.74 - 80.74. Which is the nearest to 14? (a) u (b) -0.5 (c) k
a
Let r = 169.076 - -1.624. Let n = 18.7 - r. Which is the nearest to -1? (a) -1/3 (b) 4 (c) n
a
Let q = -1 + 0.9. Let x = -4133.969 + 4136. Let h = x - 0.031. Which is the nearest to -0.1? (a) 0 (b) h (c) q
c
Let a = 0.6 + -1.2. Let l = 446811 - 446810.9. What is the nearest to l in -0.08, 2, a?
-0.08
Let y = -2072.8 - -2073. Let l = -0.7 + 0.2. Let c = -13.5 - -13.2. What is the nearest to l in y, c, -0.4?
-0.4
Let y = 0.3 + -4.3. Let i = 23002 + -23001.5. Which is the nearest to 1? (a) -0.3 (b) i (c) y
b
Suppose 0 = -2*l - 6, -2*f = -5*l - 12 - 15. Suppose -f*o + 8*o + 3*z + 11 = 0, 5*o + 4*z + 10 = 0. Which is the closest to 3? (a) 3 (b) o (c) 3/2
a
Let f be ((-96)/8 - -8)*21/126. What is the closest to f in -5, -26, 59?
-5
Let t = -24.841 - -24.841. Which is the closest to t? (a) -0.25 (b) -0.1 (c) 34
b
Let g = 5148 + -5148. Which is the nearest to g? (a) 126 (b) -0.2 (c) -4
b
Let o = 1.4 - 1.5. Let t = -22.4 - -7.7. Let q = 15 + t. Which is the closest to 3/2? (a) q (b) 1/2 (c) o
b
Let a = 0.91 + 10.89. Let l = a + -1.8. Let w = 1.44477 - 1.04477. What is the nearest to 1/2 in -2/11, l, w?
w
Let t(j) = -j**3 + 21*j**2 - 100*j + 48. Let i be t(14). What is the closest to -1 in -4, 1/3, i, 0.2?
0.2
Let g = 337 - 283. Let j = g + -55. Which is the nearest to -2/5? (a) 4 (b) j (c) -0.04
c
Suppose 2*o + 2*i + 19 = 11, -5*o + 3*i = -20. Let y = -2.4 - -3.4. Which is the nearest to o? (a) 5 (b) -1 (c) y
c
Let v = -41986/15 - -12572/5. Let p = v - -285. What is the closest to 0.1 in -0.2, -34, p?
p
Let s = -874 + 874.1. Let d = 1/111 - -211/1221. What is the closest to s in -5, 1, d?
d
Let b = 9 - 13. Let t = 2411 - 2408. What is the nearest to -0.3 in -2, b, t?
-2
Let h = -565 + 1148. Let z = -578 + h. What is the nearest to -0.1 in -2/11, z, 3/4, -2/7?
-2/11
Let z be (13 + -12)/(30/60). What is the closest to z in -5, -0.5, -0.325, -2?
-0.325
Let u = 306 - 177. Let v = u - 98.5. Let s = 31 - v. What is the nearest to -2 in s, 0.4, 0.04?
0.04
Let q = 0.3 - -1.7. Let w = 3.63 - -171.37. Let h = w + -171. Which is the closest to q? (a) h (b) 3 (c) -0.1
b
Let k = 27 + -26.8. Suppose -3*q = -8*q - 5*p - 5, -2*p + 1 = q. Which is the closest to k? (a) -6/11 (b) -0.5 (c) q
b
Let j = -28/149 + 205/298. Which is the nearest to j? (a) 0 (b) 5 (c) 21 (d) -5
a
Let h = -73/5 - -14. Let l = -827/11 - -75. Let n be 140/1197 + (-4)/(-38). What is the nearest to n in l, 0.02, h?
0.02
Let t = -833.13 - -833. Let u = t + -0.47. Which is the nearest to u? (a) -1/3 (b) 6/11 (c) -0.4 (d) -2/7
c
Let l = -150.80146 - 0.19854. What is the closest to -0.2 in -0.2, -2/21, l?
-0.2
Let w = -0.117 - -99.117. Let r = 101 + -1. Let x = r - w. Which is the closest to -1? (a) 0.2 (b) -2/3 (c) x
b
Let o = -37/30 - -49/30. Which is the closest to 39? (a) 2/7 (b) 5 (c) o (d) -1/2
b
Let g = -1515.8 - -1325. Let k = -191 - g. What is the closest to k in -3, 6, -4?
-3
Let p = -0.11519 - -0.01519. What is the closest to 3/5 in 150, 1, p?
1
Let r = -140 + 142. Let a = r + -4. What is the closest to -0.2 in -3, 4, a?
a
Let u be 20/(-54)*(-468)/780. What is the closest to u in 1/12, -4, -1.2?
1/12
Let y(w) be the first derivative of w**4/4 + 7*w**3 + 21*w**2/2 + 21*w + 36. Let i be y(-20). Let d = 4/7 + -1/7. What is the closest to i in 0.2, d, 2/15?
d
Let s be 4 - 1/(-3)*-3. Let k be 5/20*(s + -2). Let h = 2191 - 2187. Which is the nearest to k? (a) -4 (b) h (c) -0.2
c
Let m = 4420 - 4417. What is the nearest to -2/9 in 0.2, m, -4, 2/53?
2/53
Let y = 0.146 + -2.706. Let i = y + 2.76. What is the nearest to -0.1 in -13, i, 5?
i
Let w = -11.32 - -11.42. Let p = -62 - -249/4. What is the closest to p in 3, -38, w?
w
Let d = -0.7 - -0.5. Let a = -8.73 + 9.13. What is the nearest to 2/3 in -1, d, a?
a
Let x = -87.148 + 0.148. Let m = 140 + x. Let s = -52.5 + m. What is the nearest to -2/5 in s, -4, 1?
s
Let l(k) = k**2 + 135*k - 1300. Let n be l(-144). Which is the closest to n? (a) -1 (b) 0.031 (c) -0.5
a
Let g be 1 - -1 - 1*17. Let q be (-6)/g + (0 - 0). Let k = 2176 - 2176. Which is the closest to k? (a) q (b) 3 (c) -5
a
Let h = -509 - -510. What is the nearest to -2/11 in 5, h, 0.35?
0.35
Let x = 8481/4 + -2120. What is the nearest to -1/3 in 2, 1, 36, x?
x
Let g be (1/5)/(5 + 416/(-80)). What is the closest to -48/11 in -3, g, -0.04, -0.2?
-3
Let x = 33042 - 33051. Let j be 1*(1*-7 - -2). Which is the closest to 2/9? (a) -0.2 (b) x (c) j
a
Let f = 14.04 + -14. Suppose 5*d - 2*v = 11, 2*d + 47*v - 43*v + 34 = 0. What is the closest to f in 3, 5, d?
d
Let i be 16/(-16)*(1 + -1). Suppose -5*x + 8*x + 15 = 2*k, k - 2*x - 9 = i. Which is the nearest to -1/2? (a) 7 (b) k (c) -2/5
c
Let n = 38371 + -38357. Which is the nearest to n? (a) -5 (b) -1 (c) 3 (d) -13
c
Let p = 3.65 + -0.65. Let k be (-8)/3*1/4. Let m be 8 - 204/15 - -6. What is the nearest to k in m, p, 5?
m
Let m = 1895 - 1894. What is the nearest to -1/4 in m, 3, -279?
m
Let i(l) = -l**3 - 8*l**2 - 3*l - 19. Let u = 252 + -260. Let g be i(u). What is the nearest to -0.3 in 0.2, -1/3, g?
-1/3
Let r(l) = -l**2 + 2*l + 8. Let b be r(14). Let z = b + 1123/7. Let f = -332/489 - -2/163. What is the nearest to -0.1 in f, -1, z?
z
Let v(g) = -g + 3. Let x be v(2). Let k be -7 + 1 + (-2)/(-2). Let i = -3.7 - -3.4. What is the nearest to x in -4, k, i?
i
Let i = -21206.2 + 21206. Which is the closest to -111/8? (a) 0.3 (b) 9 (c) i
c
Let t = -350.6 + 345.6. Which is the closest to 0? (a) -3/7 (b) t (c) -2/5 (d) 10
c
Let b = 3.25 - 3. Let w = -2.202 + -0.548. Let r = b - w. What is the nearest to 3 in r, 0.5, -3?
r
Let i = 1785 + -7139/4. Let y = 11 - 6. Let f = -229/635 - 5/127. What is the nearest to -3 in i, y, f?
f
Let h = 1.4 + -1. Let q = -32.78 - 201.12. Let f = -234 - q. What is the closest to 3 in h, 0.3, f?
h
Let d be (-132)/(-90) - 20/150. What is the nearest to -0.1 in -0.05, 3, d, 28?
-0.05
Let f = 0.7676 + -0.7676. | {
"pile_set_name": "DM Mathematics"
} |
2/3 - 8*z/3.
-2*z*(z - 2)*(z - 1)*(z + 2)/3
Find k such that -k**3 + 110*k**2 - 3417*k + 20808 = 0.
8, 51
Solve 8*g**4/5 - 214*g**3/5 - 62*g**2/5 + 214*g/5 + 54/5 = 0.
-1, -1/4, 1, 27
Factor -5*a**5 - 55*a**4 - 240*a**3 - 520*a**2 - 560*a - 240.
-5*(a + 2)**4*(a + 3)
Solve -12*j**4/11 - 86*j**3/11 - 186*j**2/11 - 90*j/11 + 54/11 = 0 for j.
-3, -3/2, 1/3
Solve -3*t**5 + 561*t**4/5 - 177*t**3/5 - 1653*t**2/5 - 456*t/5 + 444/5 = 0 for t.
-1, 2/5, 2, 37
Solve 125*w**5 + 225*w**4 - 405*w**3 + 135*w**2 = 0 for w.
-3, 0, 3/5
Factor -12*i**2 - 9560*i - 6368.
-4*(i + 796)*(3*i + 2)
Factor s**2/3 - s - 4/3.
(s - 4)*(s + 1)/3
Factor -3*l**4/5 - 6*l**3/5 + 3*l**2/5 + 6*l/5.
-3*l*(l - 1)*(l + 1)*(l + 2)/5
Let c**2 + 16*c - 17 = 0. Calculate c.
-17, 1
Let 2*v**2/9 + 74*v/9 + 8 = 0. Calculate v.
-36, -1
Factor 3*g**2/7 - 6*g - 96/7.
3*(g - 16)*(g + 2)/7
Determine t, given that 5*t**5 - 10*t**4 - 15*t**3 + 40*t**2 - 20*t = 0.
-2, 0, 1, 2
Let -2*s**5/15 + 8*s**4/15 + 2*s**3/5 - 28*s**2/15 + 16*s/15 = 0. Calculate s.
-2, 0, 1, 4
Let 3*b**4 + 114*b**3 + 1287*b**2 + 3876*b + 3468 = 0. Calculate b.
-17, -2
What is m in -36*m**4 - 120*m**3 - 109*m**2 - 27*m - 2 = 0?
-2, -1, -1/6
Suppose -3*k**4 - 147*k**3 - 552*k**2 - 540*k = 0. What is k?
-45, -2, 0
Suppose 2*c**5/3 - 11*c**4/3 + 10*c**3/3 + 35*c**2/3 - 24*c + 12 = 0. What is c?
-2, 1, 3/2, 2, 3
Factor 3*q**4 - 6*q**2 + 3.
3*(q - 1)**2*(q + 1)**2
Factor z**2 - 42*z + 80.
(z - 40)*(z - 2)
Factor -3*r**2 - 21*r + 234.
-3*(r - 6)*(r + 13)
Factor i**2/8 + 173*i/4 + 29929/8.
(i + 173)**2/8
Let 3*d**2 + 132*d - 276 = 0. What is d?
-46, 2
Let -2*q**2/9 - 7148*q/9 + 7150/9 = 0. Calculate q.
-3575, 1
Factor -p**2 - 13*p - 36.
-(p + 4)*(p + 9)
Let 4*f**2 - 100*f - 216 = 0. What is f?
-2, 27
Suppose -10*h**4 - 298*h**3 - 3868*h**2/5 - 2392*h/5 - 432/5 = 0. What is h?
-27, -2, -2/5
Find b, given that 2*b**2/7 - 928*b/7 = 0.
0, 464
Determine s, given that -4*s**2 - 1264*s - 2512 = 0.
-314, -2
Factor d**5 - 10*d**4 + 12*d**3 + 72*d**2.
d**2*(d - 6)**2*(d + 2)
Let 3*u**4 - 324*u**3 - 1683*u**2 - 1356*u = 0. What is u?
-4, -1, 0, 113
Factor 2*t**2/13 - 38*t/13 - 40/13.
2*(t - 20)*(t + 1)/13
Factor 3*i**5/2 - 141*i**4/2 + 1857*i**3/2 - 4755*i**2/2 + 2244*i - 726.
3*(i - 22)**2*(i - 1)**3/2
Solve -294*l**5/17 + 364*l**4/17 + 158*l**3/17 - 348*l**2/17 + 8*l - 16/17 = 0 for l.
-1, 2/7, 2/3, 1
Determine a so that -5*a**4 - 145*a**3 - 690*a**2 = 0.
-23, -6, 0
Let -15*f**4 - 84*f**3 - 45*f**2 = 0. What is f?
-5, -3/5, 0
Suppose -3*b**3/5 - 6*b**2/5 + 3*b/5 + 6/5 = 0. What is b?
-2, -1, 1
Solve -3*l**2/7 - 1500*l/7 + 864 = 0.
-504, 4
Let r**3/2 + r**2 - 5*r/2 - 3 = 0. Calculate r.
-3, -1, 2
Factor j**2 - 166*j.
j*(j - 166)
Suppose -3*c**2 + 39*c + 42 = 0. Calculate c.
-1, 14
Factor -m**4 - 2*m**3 + 8*m**2 + 18*m + 9.
-(m - 3)*(m + 1)**2*(m + 3)
Let -r**3/6 - 5*r**2/3 + 16*r = 0. Calculate r.
-16, 0, 6
Find l, given that l**4 + 15*l**3/2 + 23*l**2/2 - 15*l/2 - 25/2 = 0.
-5, -5/2, -1, 1
Factor -43*j**3/6 + 91*j**2/6 + 119*j/6 - 5/2.
-(j - 3)*(j + 1)*(43*j - 5)/6
Factor 3*r**4 + 183*r**3 - 1170*r**2 + 2388*r - 1608.
3*(r - 2)**3*(r + 67)
Suppose -2*d**4/5 - 72*d**3/5 + 342*d**2/5 + 892*d/5 + 96 = 0. What is d?
-40, -1, 6
Let 3*f**4 - 24*f**3 - 216*f**2 - 480*f - 336 = 0. Calculate f.
-2, 14
Solve 2*v**2 - 44*v - 816 = 0 for v.
-12, 34
Find u, given that -u**4/5 + 24*u**3/5 + 3*u**2/5 - 14*u - 48/5 = 0.
-1, 2, 24
Factor r**2/2 + 14*r + 27/2.
(r + 1)*(r + 27)/2
Let -4*u**4 + 532*u**3 - 17944*u**2 + 16368*u + 34848 = 0. What is u?
-1, 2, 66
Factor k**4/4 - 23*k**3/4 + 141*k**2/4 - 77*k/4 - 121/2.
(k - 11)**2*(k - 2)*(k + 1)/4
Determine p so that 2*p**5/11 - 128*p**4/11 - 2*p**3/11 + 128*p**2/11 = 0.
-1, 0, 1, 64
Factor -2*o**3/19 + 686*o**2/19 - 57072*o/19 - 302760/19.
-2*(o - 174)**2*(o + 5)/19
Find s such that -7*s**4 + 54*s**3 - 75*s**2 + 16*s + 12 = 0.
-2/7, 1, 6
Determine q so that -2*q**2 + 16*q + 306 = 0.
-9, 17
Let b**3 - 817*b**2 + 166463*b + 167281 = 0. Calculate b.
-1, 409
Solve -5*d**5 - 10*d**4 + 5*d**3 + 10*d**2 = 0 for d.
-2, -1, 0, 1
Suppose -3*r**2/2 + 981*r - 1959/2 = 0. Calculate r.
1, 653
Factor -8*n**2 + 442*n - 110.
-2*(n - 55)*(4*n - 1)
Determine o so that -4*o**4/7 - 64*o**3/7 - 272*o**2/7 + 64*o/7 + 1536/7 = 0.
-8, -6, -4, 2
Determine g so that 6*g**5/11 - 38*g**4/11 + 78*g**3/11 - 58*g**2/11 + 12*g/11 = 0.
0, 1/3, 1, 2, 3
Solve -l**2/4 - 15*l/2 - 225/4 = 0.
-15
Factor -3*y**2/7 + 45930*y/7 - 175797075/7.
-3*(y - 7655)**2/7
Solve -450*z**2/13 + 120*z - 104 = 0 for z.
26/15
Determine o, given that -o**5/4 + 53*o**4/4 - 60*o**3 = 0.
0, 5, 48
Suppose w**3 - 7*w**2 - 10*w + 16 = 0. Calculate w.
-2, 1, 8
Find w such that 98*w**5 - 42*w**4 - 1616*w**3 - 2864*w**2 - 1248*w - 160 = 0.
-2, -2/7, 5
Let g**2/5 - 19*g/5 - 42/5 = 0. What is g?
-2, 21
Factor -2*q**2/7 + 18*q/7 + 32.
-2*(q - 16)*(q + 7)/7
Factor q**3/4 + 5*q**2/4 - 2*q - 12.
(q - 3)*(q + 4)**2/4
Solve -3*m**5 + 204*m**4 + 9*m**3 - 606*m**2 - 408*m = 0.
-1, 0, 2, 68
Factor -3*s**2 - 3540*s - 1044300.
-3*(s + 590)**2
Factor 3*a**3 - 162*a**2 + 612*a - 600.
3*(a - 50)*(a - 2)**2
What is l in -20*l**5/3 + 92*l**4/3 + 220*l**3 + 1108*l**2/3 + 704*l/3 + 48 = 0?
-2, -1, -2/5, 9
Factor 48050*z**2/7 - 1240*z/7 + 8/7.
2*(155*z - 2)**2/7
Factor 2*x**5 - 18*x**4 - 6*x**3 + 50*x**2 + 36*x.
2*x*(x - 9)*(x - 2)*(x + 1)**2
Factor -f**3 - 37*f**2 + 1952*f - 17664.
-(f - 16)**2*(f + 69)
Factor l**5 + 5*l**4 + 4*l**3.
l**3*(l + 1)*(l + 4)
Determine n, given that -n**4 - 14*n**3/5 + 72*n**2/5 - 82*n/5 + 29/5 = 0.
-29/5, 1
Factor 27*h**2 + 480*h - 108.
3*(h + 18)*(9*h - 2)
Find m, given that -m**3 - 262*m**2 + 263*m = 0.
-263, 0, 1
Solve -15*o**3 + 3130*o**2 - 164320*o + 108160 = 0.
2/3, 104
Factor 4*a**5/5 + 64*a**4/5 + 312*a**3/5 + 592*a**2/5 + 484*a/5 + 144/5.
4*(a + 1)**3*(a + 4)*(a + 9)/5
Factor -3*g**3 + 567*g**2 - 1674*g.
-3*g*(g - 186)*(g - 3)
What is n in 4*n**3 - 4*n**2 - 208*n + 640 = 0?
-8, 4, 5
Factor -2*h**3/7 - 40*h**2/7 - 250*h/7 - 500/7.
-2*(h + 5)**2*(h + 10)/7
Factor 2*r**2 - 42*r + 108.
2*(r - 18)*(r - 3)
Suppose 3*a**3/5 - 93*a**2/5 + 18*a = 0. What is a?
0, 1, 30
Factor -5*v**3/4 + 25*v**2 - 125*v.
-5*v*(v - 10)**2/4
Solve -3*j**5/4 + 3*j**4/4 + 15*j**3/2 - 15*j**2/2 - 27*j/4 + 27/4 = 0.
-3, -1, 1, 3
Factor 9*v**2 + 1407*v + 468.
3*(v + 156)*(3*v + 1)
Factor -5*b**2 + 880*b - 38720.
-5*(b - 88)**2
Factor -5*s**3 + 720*s**2 - 1425*s + 710.
-5*(s - 142)*(s - 1)**2
Suppose -g**5/5 - 31*g**4/5 - 251*g**3/5 - 101*g**2/5 + 204*g + 180 = 0. What is g?
-15, -2, -1, 2
Factor -86*k**4/9 + 46*k**3/9.
-2*k**3*(43*k - 23)/9
Factor -4*m**3 + 492*m**2 - 972*m + 484.
-4*(m - 121)*(m - 1)**2
Find p such that -2*p**2/13 + 952*p/13 - 1896/13 = 0.
2, 474
Factor z**2 - 4*z.
z*(z - 4)
Let -2*m**5 + 6*m**4 + 2*m**3 - 6*m**2 = 0. Calculate m.
-1, 0, 1, 3
Determine t, given that -t**3/3 + 14*t**2 - 80*t/3 = 0.
0, 2, 40
Solve -2*m**2/19 + 118*m/19 + 244/19 = 0.
-2, 61
Find o, given that 10*o**2 + 125*o = 0.
-25/2, 0
Find q, given that -12*q**2/7 + 556*q/7 + 376/7 = 0.
-2/3, 47
Find a such that 3*a**5/4 - 9*a**4/4 - 15*a**3/2 - 3*a**2/2 + 27*a/4 + 15/4 = 0.
-1, 1, 5
What is u in -3*u**3 - 3*u**2 + 48*u + 48 = 0?
-4, -1, 4
What is a in -a**4/4 - 5*a**3 + 55*a**2/4 + 115*a/2 - 66 = 0?
-22, -3, 1, 4
Factor -j**2/4 - 189*j/4 + 485/2.
-(j - 5)*(j + 194)/4
Factor z**4/7 + 10*z**3 + 456*z**2/7 + 954*z/7 + 81.
(z + 1)*(z + 3)**2*(z + 63)/7
Solve -j**5 + 5*j**4/3 + 5*j**3/3 - 5*j**2/3 - 2*j/3 = 0.
-1, -1/3, 0, 1, 2
Factor -5*s**2 - 30*s + 80.
-5*(s - 2)*(s + 8)
Solve -3*d**3/7 + 39*d**2 - 2040*d/7 + 3984/7 = 0 for d.
4, 83
Factor -a**2/2 - 19*a/2 - 39.
-(a + 6)*(a + 13)/2
Suppose 3*z**3/8 - 33*z**2/8 - 135*z/2 = 0. What is z?
-9, 0, 20
Factor 52*g**2 - 3856*g + 592.
4*(g - 74)*(13*g - 2)
Find q, given that -2*q**4/7 + 18*q**3/7 + 30*q**2/7 - 106*q/7 + 60/7 = 0.
-3, 1, 10
Solve 7*w**3 - 20*w**2 + 11*w + 2 = 0.
-1/7, 1, 2
Factor 3*l**3 - 51*l**2 - 252*l.
3*l*(l - 21)*(l + 4)
Determine o so that 6*o**3 - 38*o**2 - 30*o + 14 = 0.
-1, 1/3, 7
Determine u, given that -4*u**2/3 + 52*u/3 - 16 = 0.
1, 12
Let 49*h**5/3 + 14*h**4/3 - 146*h**3/3 + 56*h**2/3 + 25*h/3 + 2/3 = 0. Calculate h.
-2, -1/7, 1
Factor 3*u**2 + 15*u - 72.
3*(u - 3)*(u + 8)
Factor t**3/5 + 2*t**2/5 + t/5.
t*(t + 1)**2/5
Solve 2*o**4 - 2* | {
"pile_set_name": "DM Mathematics"
} |
Let f = 44 + -44. Solve -2*c - m + 7 = 0, f*m - 6 = -c - m for c.
1
Suppose 30 = 5*m - 110. Solve 3*z - m = 5*b, -4 = 3*z - b - 12 for z.
1
Let h = 12 - 7. Let f(t) = t**2 + 4. Let s be f(0). Let u = s - 2. Solve -4 = u*d + h*l, -d + 2*l + 1 = -2*d for d.
3
Let c be (-1 - -2)*50/2. Let f be 12/(-3)*c/4. Let n = -5 - f. Solve j + 4*j = d - n, 0 = 3*d for j.
-4
Let l(z) = z**2 + 8*z + 10. Let k be l(-7). Solve a - 13 = -3*h, -h = -k*h - 2*a + 10 for h.
4
Suppose -3*v - 4*n - 10 = 0, -4*v + 26 = -4*n + 2. Solve 5*b = v*f + 10, 4 = -5*b + 24 for f.
5
Suppose -n = -5 - 3. Let g(c) = c**3 + 9*c**2 + 10*c - 2. Let b be g(-7). Solve -5*k + b = -3*v + v, 4*v = -k - n for v.
-3
Suppose -o - o = -8, 5*q + 3*o - 22 = 0. Suppose -4*i + 2*v = 70, 2*i + 15 = i + v. Let a be i/(-6) + q/(-6). Solve 4*w + 3*g = -3 + 9, 3*w + 3*g = a for w.
3
Let u be (-66)/(-14) + (-8)/(-28). Suppose -7 = -u*y + 13. Let h = -14 - -21. Solve -2*o + y = -4*m, 4*m - o - 3 + h = 0 for m.
-1
Suppose 0 = 5*b - 9 - 16. Let x be 10/(b + 1 + -4). Solve 0*f + 4*z = -x*f - 5, f + z = 0 for f.
-5
Suppose 2*q - 12 = 4*q + 4*f, -2*q - 12 = 5*f. Let h = q + 11. Solve y + h*c = -24, 6 + 6 = 2*y - 5*c for y.
-4
Let l(c) = -4*c - 16. Let h(d) = -d. Let g(r) = 5*h(r) - l(r). Let z = 9 - 9. Let q be g(z). Solve v = i + 3, -q + 4 = -3*v for i.
1
Let q(b) = -b**3 + 12*b**2 + b - 9. Let c be q(12). Solve -3*j = -c*z - 18, -4*j = 4*z - 5*z - 12 for j.
2
Suppose p - 2*p + 5 = 0. Solve -p*w - 2*i - 20 = 0, 0*w - 2*w - 3*i = 8 for w.
-4
Let k be (-2 - -4)*(-3 - -1). Let h be (4/5)/(k/(-100)). Solve h = 5*f - u - 2, -f - 4*u + 17 = 0 for f.
5
Let c(b) = -b**3 - 7*b**2 - 6*b. Let g be c(-6). Suppose -2*h + 4*m - 12 = -4, 0 = 3*h + 5*m - 21. Let z = 8 - -2. Solve -h*s = -a - z, -5*a + g - 6 = s for s.
4
Let s be 0 - 2 - 60/(-4). Suppose -s = 2*q - 3*q. Let b = q + -9. Solve -5*n + b - 1 = -x, x + 3 = -3*n for x.
-3
Let m be 4 + 3/(-6)*-2. Solve 0 = 4*j - 20, m*w - 4*j + 5 = -j for w.
2
Suppose -2 = s - 0*p + 4*p, 0 = -s + 3*p + 5. Suppose s*j = -3*y + 6*y - 22, 3*j = 3*y - 24. Solve 5*k + 10 = -o - 2*o, -3*o = -3*k - y for o.
0
Let j be -1 + (3*-2)/(-2). Let g = -17 - -7. Let d = -6 - g. Solve -4*n - d*p = -12, j*p + 0*p = -4 for n.
5
Let w = 19 + -17. Solve w*d + 16 - 5 = 5*n, 2*n - 14 = 4*d for n.
1
Let k = 8 + 1. Suppose 4*r - 7*w + k = -2*w, -2*r + 2*w = 6. Let n be (-6 - r) + 18/2. Solve -24 = -5*s + 2*m, -3*s + 4*m = -n - 11 for s.
4
Let d be 27/12 - 8/32. Solve 0*v = d*j + 5*v + 11, -3*j = 4*v + 13 for j.
-3
Suppose 7 - 4 = -2*r - m, 4*r - 9 = 3*m. Solve w + 3 = 2*i, 5*i = -r*i for w.
-3
Suppose 0 = -3*s - 0*z - 5*z + 34, 26 = 2*s + 4*z. Suppose -2*u + 0*u + 42 = 0. Let r be 15/10*20/6. Solve s*j - r*m = 27, 3*j - m - 2*m - u = 0 for j.
4
Let a(w) = -5*w + w + 0 - 1 + 3*w. Let m be a(-4). Solve p - 5*t = 0, m*p - t + 0 + 14 = 0 for p.
-5
Suppose -4*w + 3*r + 28 = 0, 5*w = 4*r + 64 - 28. Suppose 3*a - w*o = 44, -a + 2*o = -4*a + 50. Let g = a - 11. Solve 20 = -g*b, -2*b = v + b + 12 for v.
0
Let h(s) = s**2 + 7*s + 11. Let z be h(-5). Suppose 2*c + 6 = 0, -6*c = 2*q - 3*c - z. Solve -p + 3*i + 14 = -3, 3*i = q*p - 37 for p.
5
Let m = -33 - -38. Solve -3*v + 1 = v - 5*h, -m*v = -5*h - 5 for v.
4
Let p be (-3 - -2)*(2 - -4). Let r be 4/p + 6/9. Solve -5*k - 31 = -3*u, r = -3*k - k + 5*u - 30 for k.
-5
Let s(o) = -1. Let w(h) = 2*h + 12. Let c(l) = 3*s(l) + w(l). Let a be c(-6). Let i be (-3)/a - 1/(-1). Solve p - i = 2*m + 3*p, 3*m - 5*p = 5 for m.
0
Suppose -4*x - x = 5. Let f(w) = -6*w - 1. Let d be f(x). Solve 4*p = -d*r, -1 = 2*p + 2*r - 3 for p.
5
Let u be (-48)/(-20) - (-4)/(-10). Let j(q) = -q - 1. Let t be j(-3). Let k be ((-5)/t)/(1/(-2)). Solve 41 = k*x - 4*g, 3 + 15 = 2*x - u*g for x.
5
Let w be (-194)/18 - 28/126. Let p = w - -15. Solve r - 3 = n + 4*n, -2*n = p*r + 10 for n.
-1
Suppose 3*n = -4*i + 10, 2*i - 4*n - 7 = 9. Solve 4*z + z = 4*c - 41, 4*z + 36 = i*c for c.
4
Suppose 2*k + 2 = -4*h, 5*h - k - 13 - 2 = 0. Suppose -2*n + 84 = 2*n. Solve 0 = -5*v + y - n, -h*v - 10 = y + 4 for v.
-5
Suppose 0 = 4*g - 214 + 34. Suppose 5*k = g - 10. Solve 0 = j + 4*c + 20, -j - 24 = k*c - 2*c for j.
-4
Let d(v) = 21*v**2 - 1. Let h be d(-1). Suppose 0 = -0*j + 5*j - h. Solve -o + j*x = -2*o - 1, 4*o + 4 = 5*x for o.
-1
Suppose 0*w - 15 = -3*w. Solve -3*j - 20 = j + w*u, 0 = 2*u for j.
-5
Let l be 6/(-2) - (-10 - -1). Let n(m) = -m**3 + 6*m**2 - m + 7. Let h be n(l). Let a be 2 + -2 + h + -1. Solve -4*o + 5*b = 0, a = -2*o - 3*o + 3*b - 13 for o.
-5
Suppose -j + 0*j + 8 = 0. Suppose 7*a - 3*a - 16 = 4*x, 0 = -5*a + 2*x + j. Let f be (a/(-2) + 0)/(-2). Solve -13 = s - 6*o + 3*o, 4*o - 12 = f for s.
-4
Suppose -l + 4 = l. Solve 0 = l*f + 3*h + h - 10, 7 = f + 4*h for f.
3
Let o = 1 + -2. Let m = o + 6. Suppose -4*t = -m*a + 44 + 13, -21 = -a - 4*t. Solve c = -j + 2*c - 2, a = -4*j - c for j.
-3
Suppose -39 = -5*v + 6. Let p = v + -5. Let w = 29 - 25. Solve -p*y - w = -4*d - 20, 4*y = 12 for d.
-1
Let p be (-1 - (-9)/3) + 6. Let t be (2 - 46/p)*-4. Solve -5*q + 2*g - 6*g = 32, -g - t = 3*q for q.
-4
Suppose 3 = -j + 12. Suppose -3*i - 19 = -4*f, 2*f + 3*i = -f + j. Solve -5*h = 4*n - 11, 2*h - 4*n - f = 6 for h.
3
Let h = -38 - -66. Solve 4*z + 4*s = -0*z + h, 0 = -z - 3*s + 11 for z.
5
Let j be 1*3*4/6. Suppose 0 = -3*l - 4*p + 6*p + 1, 4*l - 2*p - 2 = 0. Solve -l = -d + j*t, t + 0 = -5*d - 6 for d.
-1
Let d(s) = -11*s - 1. Let t be d(-1). Suppose 0 = -10*b + 11*b. Suppose -t = -b*g - 5*g. Solve -3*y = 6, -g*y - 5 = -4*r + 15 for r.
4
Suppose 19*p = 16*p + 12. Let b(q) = q**2 + 5*q + 5. Let c be b(-4). Let z be 1 - (-1 + -2) - 1. Solve o - z = c, -o = p*v for v.
-1
Let u be -5 + (-2*20)/(-4). Solve -a + 11 = u*q - 14, 4*a + q - 24 = 0 for a.
5
Let x be ((-6)/(-8))/(13/52). Solve h - 1 = -x*q, 3*h + 3*q = 5*h - 2 for h.
1
Suppose 12 = 7*r - 4*r. Solve 0 = -0*o + r*o - u + 18, 2*u + 9 = -o for o.
-5
Suppose -23 - 21 = -4*x. Let a = 19 - x. Solve -5*y + 3*r + a = -0, 2*r = -3*y + 20 for y.
4
Let r(w) = -3*w - 1. Let s be -4*(-1)/4 - 2. Let d be r(s). Solve 2*f + 13 = -2*t + 3*t, t + f + d = 0 for t.
3
Let x = -24 - -54. Suppose -2*i + x = -0*i. Suppose -3*m - 4*p + 7 + i = 0, -2*p - 10 = 0. Solve 3*q - 5*y + m = -6, q - y = -4 for q.
0
Suppose -1 = 9*c - 46. Solve z + 5 = -c*o, o - 3 - 2 = z for o.
0
Suppose 35 = 5*n - 9*s + 4*s, -n + 4*s + 4 = 0. Let k = 18 + 1. Suppose -2 = 3*i - 8. Solve -n + 0 = 4*q + 4*l, i*q + k = -5*l for q.
3
Let c(l) = -l + 4. Let j be c(2). Suppose 68 = -5*x - 27. Let z = x - -39. Solve -10 = k + 3*q, -j*q + 7*q + z = -5*k for k.
-1
Suppose 5*b - 9 = -3*h, 2*b - 6 = -2*h - 0. Solve -4*y + 3*j + 10 = 0, 4*y + 3*j - 5 - 17 = b for y.
4
Suppose -6*l = -4*l - 2*j + 6, 3 = l + j. Suppose 5*x = -5*v - 0*x - 20, l = v - 2*x - 8. Solve v = -m + 1 + 4, -3*m + 24 = 3*c for c.
3
Let m = 1 - -2. Suppose 0 = -b - 0*b - 12. Let p be (2 - 8)/(b/16). Solve 4*q = -4*g - p, 2*g - m + 13 = -4*q for g.
1
Let c be (-15)/20 + 33/12. Solve c*f + 2*f = -8, 4*u + 4 = -4*f for u.
1
Let u(i) = -4*i + 43. Let t be u(10). Solve 0 = -4*f + 4, 5*x = -2*f - t*f - 15 for x.
-4
Suppose 0 = -j + 4 - 1. Suppose j*l = -5*q - 9, 0*q + 6 = -2*q - 2*l. Let m = q - -2. Solve -8 = -5*w - m*n, 4*n = 4*w + n + 12 for w.
0
Let i(t) = 17*t - 20. Let r be i(3). Solve -h + 5*g - 10 = -r, -4*h + 5*g + 9 = 0 for h.
-4
Suppose -24 = 5*r + 1. Let o = r - -5. Solve 5*l + 3*z + 12 = o, -l + 2*z - z - 4 = 0 for l.
-3
Let a be 8/(-20) + 34/10. Let h be (-1 - -2)*a/1. Suppose -5*w = 0, -t = -6*t + 5*w + 35. Solve -5*g = -i + 3, 4*g - 3*g = -h*i - t for g.
-1
Let p(q) = q**3 - 2*q**2 - 4. Let x be p(3). Let h = 2 + 1. Let d = h + -2. Solve x*z - 10 = 5*o, 2*z + d = 4*o + 11 for o.
-3
Suppose 5*d = -4*w - 39, 4*w + 4*d + 28 = -12. Let g = 16 + w. Solve 0*h = -h - g*y + 21, -12 = 4*h - 4*y for h.
1
Let j(v) = v - 1. Let r be j(-7). Let o = r - -11. Solve 4*z = 3*h + 3, 5*h - 21 = h - o*z for h.
3
Suppose -i + 3 = 1. Solve 3*z - 7*g + i*g = -19, 5*z - 2*g = 0 for z.
2
Let n = -5 + 27. Let o be 6/9 - (-114)/(-9). Let w = o - -12. Solve 2*u - 5*s + 17 = w, -u - 2*s - 8 = -n for u.
4
Let k be 5/(1*(3 - 2)). Suppose 4*c - k = 15. Solve c*z = 2*z - r + 14, -5*r = -2*z - 2 for z.
4
Suppose p + 10 = 3*p. Suppose 0 = -0*x - p*x + 60. Solve - | {
"pile_set_name": "DM Mathematics"
} |
699?
33
What is the greatest common divisor of 90 and 70?
10
Calculate the highest common divisor of 365 and 2117.
73
What is the greatest common factor of 474 and 6?
6
What is the greatest common divisor of 90 and 170?
10
Calculate the highest common factor of 700 and 420.
140
Calculate the greatest common factor of 464 and 32.
16
Calculate the highest common divisor of 1245 and 75.
15
Calculate the highest common factor of 612 and 68.
68
What is the greatest common divisor of 106 and 53?
53
What is the greatest common divisor of 184 and 24?
8
Calculate the highest common factor of 1107 and 205.
41
What is the highest common divisor of 156 and 37908?
156
Calculate the greatest common factor of 1863 and 324.
81
Calculate the greatest common factor of 4455 and 330.
165
What is the greatest common divisor of 17066 and 28?
14
What is the greatest common divisor of 425 and 25?
25
What is the highest common factor of 522 and 18?
18
What is the greatest common divisor of 42 and 58?
2
Calculate the greatest common factor of 18 and 866.
2
Calculate the highest common factor of 90 and 54.
18
Calculate the greatest common divisor of 198 and 22.
22
Calculate the highest common factor of 1157 and 325.
13
Calculate the greatest common factor of 299 and 161.
23
What is the greatest common factor of 104 and 4420?
52
What is the highest common divisor of 2951 and 13?
13
Calculate the greatest common divisor of 44736 and 384.
192
What is the highest common factor of 5371 and 131?
131
What is the greatest common factor of 77982 and 492?
246
What is the highest common factor of 6509 and 1132?
283
Calculate the highest common divisor of 6700 and 2144.
268
What is the highest common divisor of 146 and 2?
2
Calculate the highest common factor of 12 and 2238.
6
Calculate the greatest common factor of 588 and 300.
12
Calculate the highest common factor of 15 and 205.
5
What is the highest common factor of 1405 and 3?
1
Calculate the highest common divisor of 36 and 207.
9
What is the highest common divisor of 1105 and 2975?
85
Calculate the highest common divisor of 140 and 476.
28
Calculate the greatest common factor of 1857 and 9.
3
Calculate the greatest common factor of 305 and 183.
61
Calculate the highest common divisor of 7 and 497.
7
Calculate the greatest common factor of 63 and 7.
7
What is the greatest common factor of 420 and 9100?
140
Calculate the highest common factor of 7480 and 170.
170
Calculate the highest common factor of 18 and 1053.
9
Calculate the highest common divisor of 11350 and 50.
50
Calculate the greatest common factor of 10 and 5.
5
Calculate the highest common factor of 57 and 76.
19
What is the greatest common divisor of 30 and 850?
10
What is the highest common divisor of 360 and 440?
40
Calculate the greatest common factor of 66 and 2739.
33
What is the highest common factor of 2 and 134?
2
What is the greatest common divisor of 91 and 1495?
13
Calculate the highest common divisor of 432 and 32.
16
Calculate the greatest common factor of 10 and 4010.
10
What is the highest common factor of 336 and 21?
21
Calculate the greatest common divisor of 20 and 25.
5
What is the highest common divisor of 19 and 323?
19
What is the highest common factor of 7 and 112?
7
Calculate the highest common divisor of 137 and 9179.
137
What is the highest common factor of 53 and 59?
1
Calculate the greatest common factor of 707 and 5757.
101
What is the greatest common factor of 38 and 4?
2
What is the highest common factor of 3227 and 35?
7
What is the greatest common divisor of 147 and 84?
21
What is the greatest common divisor of 456 and 171?
57
Calculate the greatest common divisor of 21 and 19173.
21
What is the highest common divisor of 740 and 40?
20
Calculate the greatest common divisor of 2077 and 1943.
67
What is the highest common divisor of 624 and 442?
26
What is the greatest common divisor of 1769 and 2440?
61
What is the highest common factor of 9555 and 117?
39
What is the greatest common divisor of 8670 and 204?
102
What is the greatest common divisor of 2856 and 36?
12
Calculate the highest common factor of 17 and 22423.
17
What is the highest common factor of 186 and 47244?
186
Calculate the highest common factor of 1980 and 225.
45
Calculate the highest common divisor of 15 and 192.
3
Calculate the highest common factor of 1261 and 52.
13
What is the highest common divisor of 41 and 18901?
41
What is the greatest common divisor of 305 and 366?
61
Calculate the greatest common divisor of 55 and 80.
5
Calculate the highest common divisor of 368 and 144.
16
Calculate the greatest common factor of 2412 and 2.
2
Calculate the highest common divisor of 33 and 2112.
33
What is the greatest common factor of 437 and 46?
23
What is the greatest common divisor of 56 and 952?
56
What is the highest common divisor of 99 and 88?
11
Calculate the greatest common divisor of 263 and 17.
1
What is the greatest common divisor of 788 and 12?
4
Calculate the greatest common divisor of 11578 and 56.
14
What is the highest common factor of 100 and 2525?
25
What is the highest common divisor of 2046 and 286?
22
What is the highest common factor of 639 and 4189?
71
What is the greatest common divisor of 50 and 2275?
25
What is the greatest common factor of 49 and 637?
49
What is the greatest common factor of 253 and 1023?
11
What is the highest common factor of 912 and 1152?
48
Calculate the highest common divisor of 161 and 21.
7
Calculate the greatest common factor of 170 and 70.
10
What is the greatest common divisor of 5 and 313?
1
Calculate the greatest common factor of 8550 and 342.
342
Calculate the greatest common divisor of 8 and 11.
1
What is the highest common factor of 3699 and 1?
1
Calculate the highest common factor of 720 and 576.
144
What is the greatest common divisor of 9 and 63?
9
What is the greatest common factor of 24 and 444?
12
Calculate the greatest common divisor of 1242 and 18.
18
Calculate the greatest common factor of 60 and 620.
20
Calculate the greatest common divisor of 471 and 1256.
157
Calculate the highest common factor of 23 and 3841.
23
Calculate the greatest common divisor of 12 and 4014.
6
Calculate the highest common factor of 12 and 1572.
12
What is the greatest common divisor of 3072 and 480?
96
What is the highest common divisor of 188 and 20?
4
What is the greatest common factor of 2000 and 16?
16
What is the highest common divisor of 252 and 315?
63
What is the greatest common factor of 600 and 20800?
200
Calculate the greatest common factor of 132 and 2013.
33
What is the highest common divisor of 220 and 620?
20
Calculate the highest common divisor of 1269 and 47.
47
What is the highest common divisor of 6 and 57?
3
What is the highest common divisor of 27 and 14013?
27
What is the greatest common factor of 4 and 964?
4
Calculate the greatest common factor of 5126 and 5359.
233
What is the greatest common divisor of 46 and 94?
2
What is the greatest common divisor of 208 and 1352?
104
What is the greatest common divisor of 10 and 85?
5
Calculate the greatest common divisor of 475 and 100.
25
What is the highest common factor of 22 and 1991?
11
What is the greatest common factor of 25112 and 86?
86
Calculate the greatest common divisor of 34 and 1462.
34
What is the highest common factor of 90 and 2270?
10
What is the highest common factor of 12 and 6231?
3
What is the greatest common divisor of 25 and 20?
5
What is the greatest common divisor of 410 and 11398?
82
Calculate the greatest common divisor of 1076 and 24.
4
Calculate the greatest common factor of 114 and 1216.
38
What is the highest common divisor of 416 and 364?
52
Calculate the greatest common divisor of 48 and 176.
16
Calculate the highest common divisor of 1177 and 214.
107
Calculate the greatest common factor of 3808 and 532.
28
Calculate the highest common divisor of 16195 and 1025.
205
Calculate the greatest common divisor of 1 and 472.
1
What is the greatest common factor of 2367 and 9?
9
Calculate the highest common factor of 20 and 2320.
20
What is the greatest common factor of 48640 and 38?
38
What is the greatest common divisor of 50 and 280?
10
What is the highest common divisor of 33 and 165?
33
What is the greatest common factor of | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 9380453?
9380453
What are the prime factors of 8735116?
2, 13, 173, 971
List the prime factors of 37927348.
2, 71, 83, 1609
What are the prime factors of 374942?
2, 187471
List the prime factors of 236629.
43, 5503
What are the prime factors of 214083?
3, 881
What are the prime factors of 3060749?
3060749
What are the prime factors of 16550879?
16550879
List the prime factors of 5566962.
2, 3, 19, 47, 1039
List the prime factors of 6053789.
7, 173, 4999
What are the prime factors of 506837?
506837
List the prime factors of 12308623.
12308623
List the prime factors of 19912930.
2, 5, 1991293
List the prime factors of 287049.
3, 7, 13669
What are the prime factors of 163464?
2, 3, 7, 139
List the prime factors of 973719.
3, 108191
What are the prime factors of 94083?
3, 11, 2851
What are the prime factors of 12422968?
2, 1552871
What are the prime factors of 446141?
446141
What are the prime factors of 15150693?
3, 137, 191, 193
What are the prime factors of 1650568?
2, 19, 10859
What are the prime factors of 80533?
29, 2777
List the prime factors of 13891828.
2, 3472957
What are the prime factors of 134025?
3, 5, 1787
List the prime factors of 1126816.
2, 23, 1531
List the prime factors of 315258.
2, 3, 52543
What are the prime factors of 634332?
2, 3, 52861
List the prime factors of 187905.
3, 5, 12527
List the prime factors of 330807.
3, 110269
What are the prime factors of 160817?
160817
List the prime factors of 12583.
12583
List the prime factors of 362418.
2, 3, 7, 8629
List the prime factors of 32205668.
2, 11, 101, 7247
What are the prime factors of 2351192?
2, 293899
What are the prime factors of 397411?
7, 56773
List the prime factors of 2625788.
2, 11, 83, 719
List the prime factors of 162770.
2, 5, 41, 397
What are the prime factors of 153506?
2, 76753
List the prime factors of 747504.
2, 3, 29, 179
What are the prime factors of 2292633?
3, 7, 151, 241
List the prime factors of 2602399.
2602399
List the prime factors of 1451.
1451
List the prime factors of 209992.
2, 26249
What are the prime factors of 3817899?
3, 191, 2221
List the prime factors of 8823506.
2, 769, 5737
List the prime factors of 11445721.
7, 53, 30851
What are the prime factors of 17156509?
79, 2749
What are the prime factors of 1338778?
2, 7, 19, 719
What are the prime factors of 215495?
5, 7, 47, 131
What are the prime factors of 540716?
2, 11, 12289
List the prime factors of 475412.
2, 7, 16979
What are the prime factors of 7095143?
11, 645013
List the prime factors of 9907030.
2, 5, 7, 141529
List the prime factors of 5512939.
23, 281, 853
What are the prime factors of 7089502?
2, 7, 506393
List the prime factors of 6464403.
3, 11, 17, 23, 167
List the prime factors of 70029.
3, 31, 251
What are the prime factors of 2851484?
2, 151, 4721
What are the prime factors of 190284?
2, 3, 101, 157
List the prime factors of 137971.
281, 491
List the prime factors of 16948262.
2, 2179, 3889
What are the prime factors of 143432?
2, 17929
List the prime factors of 29678296.
2, 73, 89, 571
List the prime factors of 3127478.
2, 1563739
What are the prime factors of 10114809?
3, 941, 3583
What are the prime factors of 3055184?
2, 11, 17359
List the prime factors of 1213441.
179, 6779
What are the prime factors of 2862699?
3, 7, 136319
What are the prime factors of 7977501?
3, 7, 42209
What are the prime factors of 780370?
2, 5, 73, 1069
List the prime factors of 33209688.
2, 3, 1383737
What are the prime factors of 525810?
2, 3, 5, 17, 1031
What are the prime factors of 7237220?
2, 5, 73, 4957
List the prime factors of 342457.
31, 11047
List the prime factors of 10486815.
3, 5, 61, 73, 157
What are the prime factors of 8741866?
2, 7, 624419
List the prime factors of 6757674.
2, 3, 7, 11, 14627
List the prime factors of 1440731.
1440731
List the prime factors of 1108566.
2, 3, 2281
What are the prime factors of 26424856?
2, 103, 32069
What are the prime factors of 13976?
2, 1747
List the prime factors of 3633524.
2, 908381
List the prime factors of 762016.
2, 23813
What are the prime factors of 126938?
2, 7, 9067
What are the prime factors of 54812?
2, 71, 193
What are the prime factors of 2594724?
2, 3, 11, 1787
What are the prime factors of 729310?
2, 5, 72931
List the prime factors of 2531408.
2, 11, 19, 757
List the prime factors of 10401.
3, 3467
List the prime factors of 580360.
2, 5, 11, 1319
List the prime factors of 5917458.
2, 3, 541, 1823
What are the prime factors of 1013651?
439, 2309
List the prime factors of 737391.
3, 271, 907
What are the prime factors of 1507056?
2, 3, 31397
What are the prime factors of 208453?
7, 97, 307
List the prime factors of 405468.
2, 3, 7, 1609
What are the prime factors of 169800?
2, 3, 5, 283
List the prime factors of 552382.
2, 276191
List the prime factors of 38540733.
3, 7, 11, 166843
List the prime factors of 1439888.
2, 31, 2903
List the prime factors of 142731.
3, 15859
List the prime factors of 29804.
2, 7451
What are the prime factors of 1681618?
2, 59, 14251
List the prime factors of 1763119.
541, 3259
List the prime factors of 3870250.
2, 5, 113, 137
What are the prime factors of 973416?
2, 3, 40559
List the prime factors of 491398.
2, 277, 887
List the prime factors of 9064986.
2, 3, 7, 215833
List the prime factors of 1796447.
151, 11897
List the prime factors of 7957067.
19, 418793
List the prime factors of 16270862.
2, 449, 18119
List the prime factors of 10651369.
23, 463103
List the prime factors of 353980.
2, 5, 11, 1609
List the prime factors of 16325676.
2, 3, 23, 19717
What are the prime factors of 69120?
2, 3, 5
List the prime factors of 16676453.
167, 99859
What are the prime factors of 13399?
13399
List the prime factors of 44389.
44389
List the prime factors of 540344.
2, 7, 9649
What are the prime factors of 229380?
2, 3, 5, 3823
List the prime factors of 16235927.
16235927
What are the prime factors of 413675?
5, 16547
What are the prime factors of 22046454?
2, 3, 479, 2557
List the prime factors of 27363.
3, 7, 1303
List the prime factors of 1165570.
2, 5, 7, 16651
List the prime factors of 186551.
186551
List the prime factors of 4278272.
2, 2089
List the prime factors of 590081.
71, 8311
List the prime factors of 523606.
2, 97, 2699
What are the prime factors of 730527?
3, 7, 43, 809
What are the prime factors of 1117841?
937, 1193
What are the prime factors of 2536148?
2, 83, 7639
What are the prime factors of 293456?
2, 18341
List the prime factors of 4816360.
2, 5, 347
What are the prime factors of 3876209?
19, 31, 6581
List the prime factors of 90410.
2, 5, 9041
List the prime factors of 15539773.
31, 137, 3659
List the prime factors of 19279886.
2, 37, 260539
List the prime factors of 13425472.
2, 89, 2357
List the prime factors of 36770.
2, 5, 3677
What are the prime factors of 5763862?
2, 13, 41, 5407
List the prime factors of 125008.
2, 13, 601
List the prime factors of 192419.
317, 607
What are the prime factors of 197519?
7, 29, 139
What are the prime factors of 14123323?
241, 58603
What are the prime factors of 67730?
2, 5, 13, 521
List the prime factors of 3505635.
3, 5, 7, 31, 359
List the prime factors of 17226108.
2, 3, 79, 673
List the prime factors of 218208.
2, 3, 2273
List the prime factors of 941496.
2, 3, 39229
List the prime factors of 221213.
157, 1409
What are the prime factors of 7822191?
3, 13, 200569
List the prime factors of 129311.
7, 13, 29
What are the prime factors of 15791901?
3, 349, 15083
List the prime factors of 157831.
157831
What are the prime factors of 16537130?
2, 5, 439, 3767
What are the prime factors of 5450212?
2, 41, 167, 199
What are the prime factors of 2972793?
3, 139, 7129
What are the prime factors of 1410129?
3, 7, 829
What are the prime factors of 779132?
2, 109, 1787
What are the prime factors of 8987106?
2, 3, 1497851
List the prime factors of 7458532.
2, 23, 81071
List the prime factors of 3830043.
3, 7, 271, 673
What are the prime factors of 6652780?
2, 5, 17, 1151
What are the prime factors of 205680?
2, 3, 5, 857
List the prime factors of 296998.
2, 13, 11423
List the prime factors of 4591906.
2, 11, 31, 6733
List the prime factors of 2823133.
2823133
List the prime factors of 186859.
186859
List the prime fac | {
"pile_set_name": "DM Mathematics"
} |
1, -2, f
Let z = -12/5 - -29/10. Let y(k) = -3*k**2 - k - 1. Let q be y(-1). Let w = -3.851 - 0.149. Sort w, 1, q, z.
w, q, z, 1
Suppose 351*o = 359*o - 480. Suppose -k + 68 = o. Put 1/4, k, 6, -5 in descending order.
k, 6, 1/4, -5
Suppose 4*l - 26 = -6. Let w be -15*34/(-3) - (0 - 4). Let p = -168 + w. Sort p, l, 0 in ascending order.
0, l, p
Let t(z) = z - 3. Let r be t(5). Suppose 126*o - 230*o - 90 = -113*o. Suppose -o*s - r*s - 36 = 0. Put -1, -5, s in descending order.
-1, s, -5
Suppose 8*d - 120 = -4*d. Let p be d - (0 - (-2)/4*0). Suppose -y + 3*y = p, 0 = 5*f + 4*y + 35. Put 0, -4/7, f, -2/5 in ascending order.
f, -4/7, -2/5, 0
Let s = -125 - -75. Let f = s - -55. Put -2, f, 4, -5 in decreasing order.
f, 4, -2, -5
Let l = 2417.7 + -2417.4. Sort 0.5, 0, l, 49.
0, l, 0.5, 49
Let j(m) = 5*m**3. Let r be j(-2). Let w = -25 - r. Let q = 12 - w. Put q, 0, -4 in increasing order.
-4, q, 0
Let n(d) be the first derivative of -5*d**2 - 14*d + 45 + 2/3*d**3. Let j be n(6). Sort 34, 5, j.
j, 5, 34
Let h = -448 - -634. Let x = 187 - h. Put x, -3/4, 5 in increasing order.
-3/4, x, 5
Suppose 3*u = -2*g - 1500, -2*u - 3*g + 2*g = 999. Put -5, u, -1 in descending order.
-1, -5, u
Let j be 1*((-10)/5 + 75). Let n = -76 + j. Sort 69, n, 2 in increasing order.
n, 2, 69
Let y be -1 + (2 - 22/18). Let z = -162322 - -162311. Sort y, 5, 2, z.
z, y, 2, 5
Let z be 8/34*(-8194)/(-964). Sort -576, z, 1.
-576, 1, z
Let g = 2.2 + -2. Let l be (-276)/(-228) - (-88)/(-418). Let s = 5 - 2. Sort s, l, g, 0 in ascending order.
0, g, l, s
Let j be (7696/259 + -30)/(0 + (-2)/14). Suppose 11 = m + 69. Sort -3, j, m in decreasing order.
j, -3, m
Let j = 8.5 + -8. Let a = 0.59 - -26.41. Let k = a - 24. Put 4, k, j in descending order.
4, k, j
Let k = 51939 + -51948. Let a be 3/2*(-30)/9. Sort a, k, -3, -2.
k, a, -3, -2
Suppose 0 = 4*m - 5*b - 11, 1 - 7 = -2*m + 2*b. Suppose 5*u = 6*u + 2*t + 9, 25 = -m*u + 3*t. Let i be 4/(-14) + (-86)/u. Sort i, -2, -3 in increasing order.
-3, -2, i
Let h be (-2)/4*2*3. Let m(l) = 2*l**2 - 33 - 3*l**2 - 11*l - 11*l - 6. Let b be m(-20). Sort h, b, 2, 4 in descending order.
4, 2, b, h
Let z be 516/(-42) + 4/14. Let g be (-27)/z - 4/16. Let k be 30/(-24)*(-2 - -6). Put k, 0, g in increasing order.
k, 0, g
Let f be 1/((-45)/(-6)) + 372/2610. Let o = f + -143/203. Let n be (6/8)/(20/(-16)). Put o, 0, -5, n in increasing order.
-5, n, o, 0
Suppose -43 = 7*k + 11 - 26. Sort k, -0.5, -41, 1 in ascending order.
-41, k, -0.5, 1
Suppose 5*p + 10 = -0*p. Let m be (-2)/(-8) + 88/32. Let o = 6206 + -6207. Put m, o, p in descending order.
m, o, p
Let w be -4 + ((-2)/42)/(3/(-225)). Let f = -550/9 + 61. Suppose 0 = -5*p + 40 - 15. Put p, f, w in decreasing order.
p, f, w
Let g = 961 + -961.3. Suppose a = 3*p - 3 - 8, -4*p + a + 13 = 0. Let k = 1.4 - 0.9. Sort g, k, p, 2/5 in descending order.
p, k, 2/5, g
Let b be (-448)/39 - ((-48)/(-52))/(-6). Let h = -12 - b. Sort 5, -3/4, 1/3, h.
-3/4, h, 1/3, 5
Let f = -4.99 - 0.01. Let v be (-175)/(-22)*(-6)/(-25)*10. Let i = v + -409/22. Put f, 0.4, 1/3, i in increasing order.
f, 1/3, 0.4, i
Let i = 0.2693 - -13.7307. Sort i, -1/7, -4, 5/6.
-4, -1/7, 5/6, i
Let q = -57 - -59.048. Let h = q - 0.048. Sort h, 6, 4 in ascending order.
h, 4, 6
Let x = 5372 - 5372. Put 2, x, -3, 37, -2 in ascending order.
-3, -2, x, 2, 37
Let f = 342 + -118. Let u = 200 - f. Put -3, u, 3 in decreasing order.
3, -3, u
Let f = 27203 - 27417. Sort f, -2, -5.
f, -5, -2
Let p be 8/30*6 + (-637)/(-455). Sort -2, 8, -1, p, -5 in descending order.
8, p, -1, -2, -5
Suppose -33*m + 30*m - 516 = 0. Let x = 172 + m. Put -1, x, 39 in descending order.
39, x, -1
Let g = -130 - -78. Let h = 46 + g. Let c(f) = -f**2 - 2*f + 20. Let n be c(h). Put 4, 1, n, 18 in descending order.
18, 4, 1, n
Let r = -0.416 - -9.416. Let m = -0.32 - -0.3. Let f = m - -5.02. Sort f, r, -1/2 in increasing order.
-1/2, f, r
Let m = 11392 - 11387. Suppose -2*c - 5 = -3*c. Let b be 2/c - 0/(-2). Sort b, m, -0.3 in decreasing order.
m, b, -0.3
Let r = 512 - 360.2. Let o = 152 - r. Sort 0.02, -2/11, o, 0.5 in increasing order.
-2/11, 0.02, o, 0.5
Suppose -4*s + 14 = -2*a, -2*a + 6*a = 4*s - 32. Let j(x) = -472*x**2 - 9 + 8*x + 473*x**2 + 14. Let o be j(a). Sort 0, o, 3 in decreasing order.
o, 3, 0
Let u = -421 - -416. Let a be (-4)/(-3 + (u - -18)). Let l(y) = -y + 3. Let i be l(4). Put i, -1/2, 0.1, a in increasing order.
i, -1/2, a, 0.1
Suppose 4*o + w - 87 = 0, -3*o - 5*w + 61 = -0*o. Suppose -5*c - o = -32. Suppose -k = -2*k - 6. Put c, -5, -2, k in decreasing order.
c, -2, -5, k
Let r = -311.276 - -312. Let f = r + -0.68. Let k = f + -0.444. Sort 0, -0.09, 1, k in decreasing order.
1, 0, -0.09, k
Suppose 0*w + 2*w + 232 = 0. Let s be w/14 + (-4)/(-14). Suppose -20*d = -12*d + 8. Put 2, -5, s, d in decreasing order.
2, d, -5, s
Let r = 130 - 123. Let y(m) = m**2 + 5*m - 81. Let a be y(r). Sort -4, 6, a, -3.
-4, -3, a, 6
Let q(s) = s**3 + 8*s**2 + s + 4. Let u be q(-8). Let v = 3574 + -3574. Put -123, v, u in decreasing order.
v, u, -123
Let b be 2/(2*(-6 + (-116)/(-20))). Let c be -2 + (-35)/7*3/b. Sort 24, c, 5.
c, 5, 24
Suppose -29 = 2*w - 5. Let a be (1/(-10))/(3/w). Let u = 12796 + -12792. Sort 0, u, a.
0, a, u
Let s = 468.6 + -465.6. Sort -4, s, -0.6, -2/15 in descending order.
s, -2/15, -0.6, -4
Let u(h) = -h**2 + 11*h + 273. Let d be u(23). Put d, 26, 0, -7, -2 in increasing order.
-7, d, -2, 0, 26
Suppose 4*y + 20 = -4*o, -3*o + 13 = -0*y - 4*y. Let s = -601907 + 601908. Sort y, s, -77 in increasing order.
-77, y, s
Let n = -78 + 189. Let g = -111.3 + n. Suppose -3*v + 19 = 2*v + 2*r, 21 = 5*v + 3*r. Sort g, 4/3, -11, v in decreasing order.
v, 4/3, g, -11
Let z(o) = -o**3 - 4*o**2 + 6*o. Let l be z(-5). Let j = -8.4 - -0.4. Let m be (-2 - (5 - 17))/(5/2). Put j, l, 5, m in ascending order.
j, l, m, 5
Suppose x - t - 33 = 0, 3*t - 107 = -110. Sort 2, 1/5, x, 1, -3 in descending order.
x, 2, 1, 1/5, -3
Let o(d) = -2*d**2 + 132*d + 1353. Let n be o(-9). Sort -6, n, -9, 4, 0 in decreasing order.
4, n, 0, -6, -9
Let p = 0.03656 - 4.03656. Let t = 7 - 12. Let k be 2/(-4) + (-300)/(-40). Sort -2/9, p, t, k in increasing order.
t, p, -2/9, k
Let m be 4/(-38) + 112761/323. Suppose -4*i = 2*j + 257 + 11, j = 5*i + m. Sort 4, -4, i in ascending order.
i, -4, 4
Let y = 47 + -26. Let o be (4*22/(-33))/((-6)/9). Put o, y, -2 in increasing order.
-2, o, y
Let z = 438 - 438.009. Let n = -2.991 + z. Put -18, -2, n in ascending order.
-18, n, -2
Suppose -759 = 12*g - 2631. Put 4, 0, 1, g, 5 in ascending order.
0, 1, 4, 5, g
Let y = -5 - -43. Let v = y - 37.5. Let i be (6/18)/(10/(-12)). Sort -5, v, -4, i in increasing order.
-5, -4, i, v
Let a = -92.239 + 93. Let b = 5.239 + a. Sort b, -8, 0.4.
-8, 0.4, b
Let w = -6521 + 6523. Sort -0.04, w, -0.28 in descending order.
w, -0.04, -0.28
Let i be 1/(-1 + (-15)/(-10)). Put 0, -460, i in descending order.
i, 0, -460
Let b(p) = -10*p + 76. Let x be b(8). Let g be -47*(x - 0)*(-3)/6. Sort -4, g, -2, 1 in descending order.
1, -2, -4, g
Let k = 41/3 - 14. Let h(p) = -p**2 + 110*p + 571. Let d be h(-5). Put -34, k, d in descending order.
k, d, -34
Let m = -1432/3755 + -14/751. Sort m, 0.1, 1/2, 22/31 in ascending order.
m, 0.1, 1/2, 22/31
Let h = -6669 - -6658. Sort h, -0.1, 1, 3, 0.1 in decreasing order.
3, 1, 0.1, -0.1, h
Let p = 253 + -251. Sort 0, 7, -23, 1, p in increasing order.
-23, 0, 1, p, 7
Suppose 0 = 17*y - 21*y + 8. Let m be (-26)/(-143) - ((-342)/(-33))/y. Put m, 3, 27 in descending order.
27, 3, m
Let o = -235 - -259. Let t = -24.5 + o. Let a = 5 + -3. Put -0.2, a, t in increasing order.
t, -0.2, a
Let g(a) = 5 - a**2 + 3*a + 19*a - a. Let n be g(21). Let q = 14 - 18. Sort 2, q, -10, n in ascending order.
-10, q, 2, n
Let v = 218 + -223. Let u = -351/56 - -57/8. Let l = 68 - 139/2. Put v, l, u, 0.5 in ascending order.
v, l, 0.5, u
Suppose 4*a = -4*n - 0*a, -2*n = -4*a - 30. Suppose b + 4 = n. Suppose 0*q = 3*q + 3. Sort b, -4, q, -5 in descending order.
b, q, -4, -5
Suppose 736 = -203*a + 219*a. Sort 0.9, 0, a, 3 in decreasing order.
a, 3, 0.9, 0
Let v = 271.8 + -262. Let h = -9.9 + v. Sort 0.5, h, -13 in ascending order.
-13, h, 0.5
Let v be (2 - (-18)/(-4))/(2/4). Suppose -2158 = -9*a - 2230. Sort -1, v, 7, a in descendin | {
"pile_set_name": "DM Mathematics"
} |
kkczkmzzmkkczzkf. Give prob of picking 1 m, 1 z, and 1 c.
1/34
Two letters picked without replacement from {f: 6, y: 13}. Give prob of picking 2 y.
26/57
Two letters picked without replacement from {k: 2, y: 8, c: 1, x: 2, b: 4, g: 3}. Give prob of picking 2 b.
3/95
Three letters picked without replacement from {r: 1, y: 1, s: 3, x: 1, q: 3, v: 5}. What is prob of picking 1 s, 1 x, and 1 y?
3/364
Three letters picked without replacement from {x: 2, j: 2, w: 1, e: 2, n: 1}. What is prob of picking 2 e and 1 w?
1/56
Calculate prob of picking 1 c and 1 q when two letters picked without replacement from tqtqtqtcqcqwcq.
18/91
What is prob of picking 2 v and 2 j when four letters picked without replacement from vvjvvvjv?
3/14
What is prob of picking 1 n, 1 t, and 2 p when four letters picked without replacement from tppttqtppppnptgppppr?
55/969
What is prob of picking 3 j when three letters picked without replacement from {j: 3, n: 9}?
1/220
Two letters picked without replacement from {p: 4, m: 1, t: 1, i: 3, s: 6}. What is prob of picking 1 t and 1 p?
4/105
Four letters picked without replacement from {k: 5, p: 5, h: 1, y: 3, v: 1}. What is prob of picking 1 h, 1 p, 1 y, and 1 k?
5/91
Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {i: 2, s: 1, l: 2, g: 1, m: 2}.
1/14
Calculate prob of picking 1 t, 2 p, and 1 k when four letters picked without replacement from {p: 7, k: 1, t: 5}.
21/143
What is prob of picking 1 j and 1 l when two letters picked without replacement from {j: 1, o: 1, l: 2}?
1/3
What is prob of picking 3 h and 1 z when four letters picked without replacement from hzzhzzzzhzzzhyhzhhz?
385/3876
Two letters picked without replacement from {f: 5, b: 1, m: 7}. Give prob of picking 2 m.
7/26
What is prob of picking 2 w and 2 r when four letters picked without replacement from {w: 2, u: 1, r: 14}?
13/340
Four letters picked without replacement from {i: 1, n: 11, r: 5}. What is prob of picking 1 r and 3 n?
165/476
Four letters picked without replacement from {i: 2, p: 1, l: 2, y: 3, h: 4}. Give prob of picking 1 l, 2 h, and 1 p.
4/165
Three letters picked without replacement from rrrrrrrrrwcow. Give prob of picking 1 o and 2 c.
0
Two letters picked without replacement from {f: 8, p: 3, e: 2, i: 2}. What is prob of picking 1 p and 1 f?
8/35
Three letters picked without replacement from ubbndbbrn. Give prob of picking 3 n.
0
Calculate prob of picking 4 n when four letters picked without replacement from snnnnnnnnnnnnnnnnsn.
35/57
Four letters picked without replacement from {d: 1, v: 11}. Give prob of picking 3 v and 1 d.
1/3
Two letters picked without replacement from {y: 2, e: 2, x: 1, o: 1, s: 2}. What is prob of picking 1 o and 1 e?
1/14
What is prob of picking 1 q, 1 n, and 1 x when three letters picked without replacement from snxqn?
1/5
What is prob of picking 2 g and 2 v when four letters picked without replacement from ccccvccggcccvgvccv?
1/170
Three letters picked without replacement from {y: 6, u: 3, k: 2, z: 3, j: 2, a: 2}. Give prob of picking 1 y and 2 u.
3/136
Two letters picked without replacement from azeawezennaeewennezw. Give prob of picking 1 w and 1 e.
21/190
Calculate prob of picking 2 p when two letters picked without replacement from xppspppppppxpp.
55/91
Three letters picked without replacement from eoeoeeeoeeoeeeeo. What is prob of picking 3 e?
33/112
What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 4, x: 1, a: 2, t: 1}?
1/7
Three letters picked without replacement from vvvvvvsvsssvvvvvvsv. What is prob of picking 3 v?
364/969
Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jjxdgxduxdyxxj.
3/91
Three letters picked without replacement from ltndddt. What is prob of picking 3 d?
1/35
Two letters picked without replacement from {y: 1, a: 1, g: 2, b: 1}. Give prob of picking 2 b.
0
Calculate prob of picking 1 s, 1 v, and 1 n when three letters picked without replacement from bbbvsbns.
1/28
Two letters picked without replacement from {r: 1, o: 14, i: 5}. Give prob of picking 1 o and 1 r.
7/95
Two letters picked without replacement from cczr. What is prob of picking 1 c and 1 r?
1/3
Calculate prob of picking 1 h, 2 m, and 1 n when four letters picked without replacement from rmrnmhr.
1/35
Calculate prob of picking 1 n and 1 y when two letters picked without replacement from ynnsyyqyt.
2/9
Calculate prob of picking 2 l and 1 s when three letters picked without replacement from losazlzjoljsslolslzz.
1/19
Two letters picked without replacement from efffr. What is prob of picking 1 r and 1 e?
1/10
Four letters picked without replacement from {j: 6, q: 5, b: 3, v: 3}. Give prob of picking 2 b and 2 j.
9/476
What is prob of picking 1 m and 1 r when two letters picked without replacement from {m: 3, w: 3, f: 3, r: 2, q: 1, l: 7}?
2/57
Calculate prob of picking 1 g, 2 n, and 1 k when four letters picked without replacement from dduigdnnikdiggdin.
9/2380
Three letters picked without replacement from {m: 4, s: 1, f: 2, u: 7, k: 1}. What is prob of picking 1 f and 2 u?
6/65
Three letters picked without replacement from mmdmxmdmx. What is prob of picking 2 d and 1 m?
5/84
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {k: 1, r: 2, l: 1, t: 1}.
1/10
Two letters picked without replacement from {k: 1, n: 1, t: 1, d: 1, v: 3}. Give prob of picking 2 v.
1/7
Four letters picked without replacement from {v: 6, a: 2, s: 2, o: 2}. What is prob of picking 2 a and 2 v?
1/33
Calculate prob of picking 1 f and 1 o when two letters picked without replacement from gztosgsozgzzsgfzzz.
2/153
Two letters picked without replacement from {h: 6, t: 6, m: 7}. What is prob of picking 2 h?
5/57
Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {z: 5, v: 9}.
45/91
Two letters picked without replacement from bbrrb. Give prob of picking 1 b and 1 r.
3/5
Three letters picked without replacement from {p: 7, u: 3, t: 2, e: 3, m: 1, x: 1}. What is prob of picking 1 u, 1 t, and 1 x?
3/340
Two letters picked without replacement from {g: 3, w: 6, u: 5, h: 2, s: 2, i: 1}. Give prob of picking 1 g and 1 s.
2/57
What is prob of picking 1 f, 2 l, and 1 s when four letters picked without replacement from {s: 2, f: 1, n: 7, l: 4, x: 1}?
4/455
Calculate prob of picking 1 h and 3 u when four letters picked without replacement from hufuhuhhhfufu.
10/143
What is prob of picking 2 j and 1 z when three letters picked without replacement from {z: 3, f: 5, a: 2, j: 9}?
36/323
Four letters picked without replacement from ztztthhhtzzzhbhtz. Give prob of picking 3 h and 1 t.
5/238
What is prob of picking 3 g when three letters picked without replacement from gggxggsgbogggggggoxb?
143/570
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {m: 2, p: 3, o: 6, k: 1, t: 1, f: 2}.
2/35
Four letters picked without replacement from {s: 4, k: 8, j: 2, m: 3}. What is prob of picking 1 s and 3 k?
8/85
What is prob of picking 3 r when three letters picked without replacement from {r: 5, f: 3}?
5/28
Two letters picked without replacement from vjttddctjttjvj. What is prob of picking 1 v and 1 t?
10/91
What is prob of picking 2 z, 1 e, and 1 l when four letters picked without replacement from {w: 4, z: 2, d: 1, e: 2, l: 1, x: 2}?
2/495
Four letters picked without replacement from {y: 3, x: 1, p: 1, i: 1, e: 1}. What is prob of picking 3 y and 1 x?
1/35
Calculate prob of picking 1 n and 3 j when four letters picked without replacement from {j: 4, y: 2, b: 4, n: 2}.
8/495
Three letters picked without replacement from {n: 1, b: 2, x: 3, u: 2, e: 4}. What is prob of picking 2 b and 1 e?
1/55
What is prob of picking 1 b and 2 t when three letters picked without replacement from {o: 2, b: 2, t: 5}?
5/21
Four letters picked without replacement from {k: 2, j: 4}. What is prob of picking 4 j?
1/15
What is prob of picking 3 r when three letters picked without replacement from {b: 4, r: 3, k: 3, t: 3}?
1/286
Calculate prob of picking 2 c when two letters picked without replacement from {e: 12, c: 6}.
5/51
Two letters picked without replacement from vtktkdvvtktgk. What is prob of p | {
"pile_set_name": "DM Mathematics"
} |
3/3 + 9*f - 3. Let p(n) be the second derivative of t(n). Let p(z) = 0. Calculate z.
-1, 0, 2
Factor -1/3*j**2 - 1225/3*j + 0.
-j*(j + 1225)/3
Let j(b) = b**2 + 3*b + 1. Let q be j(-4). Find x such that 17*x**2 + 45*x**3 - 45*x**5 + 5*x**4 + 8*x**2 + 40*x**q + 10*x**4 = 0.
-1, 0, 5
Let q = -162 + 101. Let d = q + 74. Factor -d*z**2 - 12*z - 9 + 6*z**2 + 4*z**2.
-3*(z + 1)*(z + 3)
What is k in -302 + k**3 - 27 - 2*k**3 - k**3 + 32*k**2 + 5 - 90*k = 0?
-2, 9
Let m(r) be the second derivative of -13*r + 23/21*r**4 + 0 + 16/21*r**3 - 32/7*r**2 - 1/5*r**5 - 2/15*r**6 - 2/147*r**7. Suppose m(a) = 0. What is a?
-4, -1, 1
Let o(m) be the first derivative of 246 + 9/5*m**5 + m**3 - 12*m - 1/6*m**6 - 19/4*m**4 + 10*m**2. Let o(j) = 0. What is j?
-1, 1, 2, 6
Let x be (2 + (0 - 52/24))*-18. Suppose 5*s - 4*i + 12 = x*s, -5*i + 15 = s. Solve -1/7*q**3 + 4/7*q**2 + s*q + 0 = 0 for q.
0, 4
Let s(l) be the third derivative of -5*l**8/336 + 16*l**7/21 - 15*l**6/4 + 22*l**5/3 - 145*l**4/24 - 1031*l**2. Factor s(z).
-5*z*(z - 29)*(z - 1)**3
Let f = -162 + 162. Factor -27*t**3 + t**2 - 11*t + f + 28*t**3 + 10*t - 1.
(t - 1)*(t + 1)**2
Let w(a) be the first derivative of -19*a + 2/3*a**3 + 27 + 1/6*a**4 - 3*a**2. Let l(r) be the first derivative of w(r). Suppose l(q) = 0. Calculate q.
-3, 1
Let x(c) = 60*c - 64. Let v be x(1). Let f(n) = n**4 + n**2 + n. Let r(y) = 2*y**4 + 6*y**3 - 7*y. Let l(o) = v*r(o) + 12*f(o). Solve l(h) = 0.
-1, 0, 2, 5
Let r(f) be the third derivative of f**7/70 - 29*f**6/120 + 29*f**5/20 - 91*f**4/24 + 5*f**3 - f**2 + f + 170. Find x, given that r(x) = 0.
2/3, 1, 3, 5
Let v(f) be the second derivative of -f**4/4 - 7*f**3/2 - 9*f**2 - 2077*f. Let v(x) = 0. Calculate x.
-6, -1
Let j = -33 + 52. Let t = 9 + -4. Suppose 1 + 6*w - 3*w**2 - t - 6 + j = 0. Calculate w.
-1, 3
Let f(a) be the third derivative of 9/14*a**3 - 72 + 0*a + 0*a**4 - 1/140*a**5 - 2*a**2. Factor f(c).
-3*(c - 3)*(c + 3)/7
Suppose -2*o - 16 = -5*m, -4*m - 1032*o = -1034*o - 14. Factor 29/4*c**m - 9/4*c**3 - 39/4*c + 9/2 + 1/4*c**4.
(c - 3)**2*(c - 2)*(c - 1)/4
Suppose -x = -4*c + 10, 4*c + 4*x = x + 2. What is d in 3*d - 148 + 2*d + 50*d**2 + 138 + 25*d**3 - 10*d**c = 0?
-1, 2/5
Let d(y) be the second derivative of -y**4/36 + 8*y**3/9 + 155*y**2/2 + 30*y + 37. Factor d(k).
-(k - 31)*(k + 15)/3
Let -3/5*w**2 + 2076/5*w - 359148/5 = 0. Calculate w.
346
Factor 4362/19*r + 4/19*r**2 - 2182/19.
2*(r + 1091)*(2*r - 1)/19
Let o(a) = 3*a**2 - 5*a + 12. Let b(m) = -m. Let r(p) = -b(p) + o(p). Let k(s) = -2*s**2 + 3*s - 13. Let i(l) = 4*k(l) + 3*r(l). Find d, given that i(d) = 0.
-4, 4
Let s = 6344/142035 - -4/1671. Let k = s - -6/17. What is l in 0*l - 8/5 + k*l**2 = 0?
-2, 2
Suppose 2*x = -4*g - 24, 10*x + 12 = 2*g + 9*x. Factor -1/3*i**2 - 1/3*i**4 + g - 2/3*i**3 + 0*i.
-i**2*(i + 1)**2/3
Let n(f) be the second derivative of f**4/42 - 6*f**3/7 - 19*f**2/7 + 121*f - 2. Factor n(l).
2*(l - 19)*(l + 1)/7
Suppose -18/11*n**4 + 0 - 78/11*n**2 + 0*n + 98/11*n**3 - 2/11*n**5 = 0. What is n?
-13, 0, 1, 3
Let i(p) be the third derivative of 67*p**2 + 1/840*p**6 - 2/21*p**3 + 0 + 0*p + 1/140*p**5 + 0*p**4. Factor i(j).
(j - 1)*(j + 2)**2/7
Let l(g) be the first derivative of -5*g**3/3 + 355*g**2/2 + 1110*g - 1292. Determine o, given that l(o) = 0.
-3, 74
Let k be (-5 - 1) + (-4)/(-200)*306. Let d = 71/175 - k. Factor d*q**3 - 24/7 + 32/7*q - 2*q**2.
2*(q - 3)*(q - 2)**2/7
Suppose 25*i - 177 = 123. Factor 42 - 5*v**2 + 3*v**2 - i*v + 56*v + 4*v**2.
2*(v + 1)*(v + 21)
Let j = 24/163 - -5470/489. Let w = j + -65/6. Determine o, given that o + 0 + w*o**3 + 3/2*o**2 = 0.
-2, -1, 0
Let x(o) = -o**2 - 9*o + 23. Let l be x(-11). Suppose -3*z + 17 = -5*t + l, -5*t = -2*z + 4. Factor 5*p**2 - 8 + p - z - p.
5*(p - 2)*(p + 2)
Let t(r) = -r**2 + 380*r - 1138. Let c(n) = -189*n + 570. Let p(a) = -7*c(a) - 3*t(a). Factor p(o).
3*(o - 3)*(o + 64)
Suppose 0 = 3*d - 12 - 3, -17 = -4*y + 3*d. Suppose -y = -17*r + 9*r. Factor -r - 1/2*w**2 - 3/2*w.
-(w + 1)*(w + 2)/2
Let d(c) be the first derivative of c**4/96 + 19*c**3/48 + 9*c**2/8 - 342*c + 276. Let q(l) be the first derivative of d(l). Suppose q(u) = 0. What is u?
-18, -1
Let l = 4063 - 48751/12. Let y(f) be the second derivative of 0*f**3 + 5/42*f**7 + 3/4*f**5 - 21*f - 1/2*f**6 + 0 + 0*f**2 - l*f**4. What is a in y(a) = 0?
0, 1
Let o(d) = -35*d**5 + 3*d**3 + 3*d**3 - 41*d**3 + 5*d**2 + 55*d**4 - 7 - 3. Let k(f) = -f**5 - 1. Let q(w) = -10*k(w) + o(w). Factor q(l).
-5*l**2*(l - 1)**2*(5*l - 1)
Let m = 2/7279 + 21823/50953. Let h be -2*(-1)/(-14)*-192. Determine u, given that 48/7*u + m*u**2 + h = 0.
-8
Let x(h) = 556*h**2 - 11*h. Let n(y) = 585*y**2 - 10*y. Let f(w) = -6*n(w) + 5*x(w). Determine z, given that f(z) = 0.
0, 1/146
Let g(x) be the first derivative of -1/2*x**4 + 5/2*x**2 + 0*x + 192 - 1/20*x**5 - 11/12*x**3. Factor g(o).
-o*(o - 1)*(o + 4)*(o + 5)/4
Let q be (-3220)/(-552) + 24/(-18). Suppose -64*w = -68*w + 16. Factor 0 + q*s**2 - s + 11/2*s**w - 3/2*s**5 - 15/2*s**3.
-s*(s - 1)**3*(3*s - 2)/2
Let j(i) be the second derivative of i**6/420 + 4*i**5/35 + 12*i**4/7 + 3*i**2 - 33*i. Let k(o) be the first derivative of j(o). Factor k(m).
2*m*(m + 12)**2/7
Let u be 5*((-2 - (-4 + -2)) + -3). Let v(y) be the first derivative of 0*y + 0*y**4 - 3/5*y**u + 42 + y**3 + 0*y**2. Factor v(a).
-3*a**2*(a - 1)*(a + 1)
Let n(k) be the first derivative of 0*k**2 - 1/3*k**4 + 0*k - 1/6*k**5 - 2/9*k**3 + 84 - 1/36*k**6. Factor n(z).
-z**2*(z + 1)*(z + 2)**2/6
Let u be 3/((348/1600)/(-29)). Let j be (1 - 7/4)/(350/u). Let j*n**4 - 88/7*n - 52/7*n**3 + 24/7 + 110/7*n**2 = 0. What is n?
2/3, 1, 6
Suppose 4*r - 5*u = 87, 3*r - 4*u = r + 48. Suppose r = 2*k + 14. Determine v, given that -15*v**k + 10*v**3 + 6*v + 5*v**4 + 6 + 14 - 26*v = 0.
-2, 1
Let g(x) be the third derivative of 1/3*x**3 + 0 + 0*x + 3/4*x**4 - 38*x**2 + 3/5*x**5. Suppose g(r) = 0. What is r?
-1/3, -1/6
Suppose -21*u + 455 = -1645. Factor -277 - u*a - 173 - 122 + 72 - 5*a**2.
-5*(a + 10)**2
Let l be (-1898)/(-1001) - (-6)/(-22)*(-44)/(-66). Factor 8/7*o + l*o**2 + 0 + 4/7*o**3.
4*o*(o + 1)*(o + 2)/7
Suppose -54/11*l**3 + 68/11*l**2 + 0 - 8/11*l**4 + 2/11*l**5 + 112/11*l = 0. What is l?
-4, -1, 0, 2, 7
Let k = -233/24 + 1189/120. What is z in -2/5 + 2/5*z**2 - 1/5*z + k*z**3 = 0?
-2, -1, 1
Suppose 41*d + 217 = 340. Let i(m) be the first derivative of -3/32*m**4 - 3/8*m - 3/8*m**d - 9/16*m**2 + 1. Let i(q) = 0. What is q?
-1
Let s(y) be the second derivative of -y**5/180 + 5*y**4/54 - 8*y**3/27 - 2*y - 1982. Find a such that s(a) = 0.
0, 2, 8
Let o(w) be the second derivative of -58/9*w**3 - 1/15*w**5 - 16/9*w**4 + 3*w - 6 - 28/3*w**2. Find q such that o(q) = 0.
-14, -1
Let k(u) be the first derivative of -3*u**5/25 - 21*u**4/20 + 552*u**3/5 - 1632*u**2 + 47616*u/5 - 256. Let k(o) = 0. Calculate o.
-31, 8
Factor 4/9 - 10052/3*f + 6315169*f**2.
(7539*f - 2)**2/9
Let h be (4/(-30)*-3)/(-6 + (-1448)/(-240)). Let g(o) be the first derivative of o**4 - 20/3*o**3 - 5 + 14*o**2 - h*o. Factor g(d).
4*(d - 3)*(d - 1)**2
Let f(w) be the first derivative of w**3/3 + 11*w**2 + 98*w - 21. Let a be f(-16). Factor -28/3*c**a + 64/3*c - 16/3.
-4*(c - 2)*(7*c - 2)/3
Let y(i) be the first derivative of 2*i**5/5 + 27*i**4 - 240*i**3 + 5379. Factor y(a).
2*a**2*(a - 6)*(a + 60)
Let f be (-8)/6*(430/(-1376) - 1/(-4)). Let v(d) be the second derivative of -f*d**5 - 15*d + 0 - 5/12*d**4 + 0*d**2 + 10/9*d**3. Factor v(w).
-5*w*(w - 1)*(w + 4)/3
Let p(t) be the second derivative of 1/24*t**3 + 0 + 1/48*t**4 - 3/4*t**2 + 5*t. Factor p(y).
(y - 2)*(y + 3)/4
Let z = 64 + -74. Let v be z/36*84/(-105). Factor 20/9*q + 50/9 + v*q**2.
2*(q + 5)**2/9
Let p(q) be the second derivative of 0 + 6241/8*q**2 + 1/48*q**4 + 129*q - 79/12*q**3. What is s in p(s) = 0?
79
Suppose -258 - 81 = 3*n - 5*c, -7*n + 4*c - 768 = 0. Let x be 1 + -3 - (2 - n/(-26)). Solve -2/13*k**4 - x - 6/13*k + 4/13*k**2 + 12/13*k**3 - 6/13*k**5 = 0.
-1, -1/3, 1
Suppose 18*r - 21*r + 21 = 0. Let c be (-1)/(-2)*(r - -11). Factor c + 9*y - 8 - 3*y**3 + 5.
-3*(y - 2)*(y + 1)**2
Suppose 10906 = 1603*c - 3521. Suppose 21/2*l + 4*l**2 + 1/2*l**3 + c = 0. Calculate l.
-3, -2
Let i(l) be the third derivative of 2*l**7/105 + l**6/15 - 19*l**5/15 + 14*l**4/3 - 8*l**3 - | {
"pile_set_name": "DM Mathematics"
} |
j + 2*m - 2. What is the third biggest value in -1/4, j, 158?
-1/4
Let s = 152.78 + -156.78. What is the third smallest value in s, -0.01, -5/4, 2.4?
-0.01
Let h = -477 - -172. Let o = -330 - h. Which is the smallest value? (a) -5 (b) o (c) 0.2
b
Let y = 14703 + -14708. What is the smallest value in y, 3, -12016?
-12016
Let i = 3.08 + -0.08. Let t = -1.67 - -3.67. Let y = t + i. What is the third biggest value in 0.3, 0.5, y?
0.3
Let r be -25 + (-84)/(-6) + 14. Which is the fourth biggest value? (a) r (b) 0 (c) 2/5 (d) 44
b
Let h = 93632 + -93632. Suppose -4*g - 2*a = -3*g + 1, g + 5 = 2*a. Let i be g/(1*(-5)/2). What is the third biggest value in 3/5, i, h?
h
Let t = 5/13 + 29/26. Let o = -224.58 + 224.68. What is the third biggest value in o, -5/6, t?
-5/6
Let r = -3.863 + 2.863. What is the second biggest value in -435, 1/3, 1, r?
1/3
Suppose 4 = 9*s - 5. Let r = 0.36 + 1.64. Let q be 55/(-15) - (-1)/(-3). Which is the fourth smallest value? (a) q (b) 0.5 (c) r (d) s
c
Let w = 15269 - 15269.3. Which is the second biggest value? (a) 2 (b) -0.9 (c) w (d) -1/4 (e) -7/9
d
Suppose -322 = -47*c - 1450. Let d be ((-4)/4)/((-4)/(-6)). What is the biggest value in 3/4, c, d?
3/4
Let n = 5178/55 - 1040/11. Which is the fourth biggest value? (a) n (b) -5 (c) 0.3 (d) 12
b
Let f be -3*1/((-45)/6). Let j = -117 + 149. Let l = -31.5 + j. What is the third smallest value in l, -0.05, f, 4/3?
l
Let q = 82 + -87. Let l be (-1)/(-3*1) + 1438/2157. What is the fourth biggest value in -3, q, 24, l?
q
Let y be -9 + -2 + (6 - 1 - 1). Let h = 11 + y. Let w = -1 - -0.8. What is the second biggest value in h, 0.01, w?
0.01
Suppose 4*k - 96 = 20. Let m = -55/2 + k. Let u = -9474 + 9478. Which is the second biggest value? (a) m (b) -4 (c) u
a
Let u = 13.33 + -9.33. Let r be 2/(-3) + (-4)/24*-2. Which is the second smallest value? (a) r (b) u (c) -4/5 (d) -22
c
Let i = 0.026 - 7.026. Let t = -4 - i. Let u = 708 - 19114/27. Which is the second smallest value? (a) u (b) t (c) 0
a
Let j = 2689 - 2694. What is the biggest value in 5, -38, -0.9, j?
5
Let y = -6695.2 + 6690.2. Let r = 0 + 0.1. Which is the third smallest value? (a) y (b) -0.1 (c) -4/5 (d) r
b
Let g = 3083 - 3083.4. What is the second biggest value in g, -5, -40.72?
-5
Suppose 5*m = m + 3*u - 658, -4*u = -3*m - 497. Let z = m - -158. Let s = -37/2 + 18. Which is the third biggest value? (a) 3 (b) s (c) z
c
Let u = -4376.55 + 4377. Which is the smallest value? (a) 0.5 (b) -0.3 (c) 0.2 (d) u (e) -0.4
e
Let y be 2*1 - 60/27. Let t(a) = -119*a - 5354. Let p be t(-45). What is the third biggest value in -23/4, -5, p, y?
-5
Let i = -983 - -972. Let f = 0.21 + -13.21. Let k = f - i. What is the second smallest value in 5, k, 2?
2
Let p = -10834/11 + 985. What is the biggest value in p, 8, -38/5?
8
Suppose -22 = c - 4*h, 2*c - 18*h = -14*h - 24. Let j be (-38)/171*3/c. What is the fourth smallest value in -2/35, 0, 3, j?
3
Let q = 142.179 - 142. Let h = -0.221 - q. What is the fourth biggest value in 2/9, h, 4/3, 4?
h
Let m be 2*9/(-72) - 2362/12600. Let j = m + 2/225. Which is the fourth smallest value? (a) j (b) 4 (c) 1 (d) 8
d
Let j be (-2)/(-5)*2/4. Suppose -55*x + 56*x = 4. Suppose -l - 5 = 0, -n - x*l - 31 = -8. Which is the biggest value? (a) n (b) 0 (c) j (d) -0.5
c
Let r = -201 - -79. Let i = -117 - r. Which is the smallest value? (a) 1 (b) i (c) -4 (d) 1/3
c
Let n = 3055 + -3047. What is the fourth biggest value in -0.4, -2, -12, n?
-12
Let t = 48.7 - 58. Let b = -6.6 - t. What is the biggest value in -0.5, b, -0.3?
b
Let v = 0.14 - -0.86. Suppose 4*p - 5*s + 4*s = -17, -3*p - 18 = s. Let y be p/(-105) + 2/7. Which is the smallest value? (a) 0.5 (b) y (c) -1/8 (d) v
c
Let y = 162.918 - 96.61. Let z = y + -62.3. Let o = -0.008 + z. Which is the second smallest value? (a) o (b) -1/5 (c) -0.3
b
Let t = -92/107 - -537/749. What is the fifth biggest value in -47, -3, t, -1, -0.2?
-47
Let h be 0 + 2 - (-186)/1008. Let b = 38/21 - h. What is the biggest value in 13, 0.2, b?
13
Let g = -1.1 - -2.1. Let i = -890 + 890.5. Which is the third biggest value? (a) -1/4 (b) i (c) g (d) -2/23
d
Let j(b) = -b**3 - 7*b**2 - 5*b + 2. Let k be j(-6). Let y be 12/k*2/18. Let p(a) = -384*a - 770. Let h be p(-2). What is the third biggest value in y, 0.4, h?
h
Let n = 3407.805 + -3408. Which is the second smallest value? (a) n (b) -0.1 (c) -1
a
Let v = -34.457 - -33.957. What is the fifth smallest value in -0.032, v, -4, 5, 0?
5
Let v = -130 - -130. Let g = 0.07 + -4.07. Suppose -5 = -144*o + 143*o. Which is the third biggest value? (a) g (b) v (c) 4 (d) o
b
Let z(y) = 28*y - 38. Let m be z(7). Let f = 154 - m. Which is the fourth smallest value? (a) -18 (b) -2/3 (c) 3/5 (d) f
c
Let t = 8.949 - 4.949. Which is the fourth biggest value? (a) -1/2 (b) -113 (c) -4/7 (d) t
b
Let x = 2.97982 - -0.02018. Which is the biggest value? (a) x (b) 0.2 (c) -3 (d) 71
d
Let u be 6/(-27) + (-176)/18. Let f be ((8 + -3)/u)/(-2). Which is the third smallest value? (a) -1/16 (b) 0.3 (c) f
b
Let f = 279.64 + 2.36. Let d = f - 294. Which is the second biggest value? (a) d (b) 1 (c) 0.1
c
Let b = 269 + -395. Let t = b - -124. What is the biggest value in t, 2, -0.1, -4?
2
Suppose 194*g - 4137 - 11235 = -1986. What is the third biggest value in -223, g, -2/3?
-223
Let g be (21/(147/(-28)))/((-69)/9 - -1). What is the smallest value in -3, -20/13, 6/11, g?
-3
Let u = -44.3 + 39. Let g be ((-28)/(-2) - 15)/(((-15)/4)/5). Which is the third smallest value? (a) u (b) g (c) -3
b
Suppose -20*z = -18*z - 2*w, -z + 3*w - 10 = 0. Which is the smallest value? (a) -2 (b) z (c) 0 (d) 0.001
a
Let t be (1292/(-19))/(1 + 0). Let u be 8/t + 150/408. What is the third smallest value in u, -15, -2?
u
Let u = 0.01 - 0.07. Let j be (-66)/15 + (2 - (-7 - -5)). Which is the third smallest value? (a) j (b) u (c) 5
c
Let s = 9741 + -9743.58. What is the fifth biggest value in 2, -1, 5/4, s, -0.5?
s
Let k be (((-22)/(-4))/(-11))/(5/706). Let p = k + 701/10. What is the third biggest value in p, 3/8, -17, -2/3?
-2/3
Let p = -3217/3 - -19129/18. Let u = 91/9 + p. Which is the third smallest value? (a) -12 (b) u (c) -0.06
b
Let o = 478/7 + -2404/35. What is the fourth biggest value in -0.09, o, 0.05, 3/4?
o
Let f be -65*(24/50)/(4/10). Let w be f/(-52)*4/(-15). Which is the second smallest value? (a) 2/7 (b) w (c) 4
a
Let x be ((-2)/3)/((-4)/6). Let h = -40107 - -40107. Which is the second biggest value? (a) 4 (b) h (c) x (d) 0.18
c
Let i = 39.0758 + 0.0242. Let t = i - 39.3. What is the smallest value in -1/3, -2, t?
-2
Let n = -19.89 + 12.89. What is the smallest value in 4/5, n, -1/3?
n
Let m = -11767 - -13276. What is the smallest value in -2/5, m, 0.2?
-2/5
Let u(x) = -x**3 - 11*x**2 - 36*x - 223. Let i be u(-9). Let m = 144 - 83. Let j = i + m. Which is the fourth smallest value? (a) j (b) -1 (c) 5 (d) -14
c
Suppose -5*c + 288 = -c. Let k = c - 70. Let t be 32/252*3 + (-4)/12. What is the smallest value in -1, -0.2, k, t?
-1
Let i = 108 + -109. Which is the third biggest value? (a) i (b) -3 (c) 5 (d) 1.2 (e) 0.4
e
Suppose 2*g + 5*x + 7 = 27, 2*x = 2*g - 6. Let s be -1*4 - (-336)/81. Let z = -1/54 - s. Which is the biggest value? (a) g (b) z (c) -0.3 (d) -2/5
a
Let s = 72.9 + -73.4. Let o = -15 - -18. Suppose 4*l - 3*z + 5*z - 6 = 0, 2*l - 9 = -o*z. Which is the third smallest value? (a) l (b) s (c) -2/11 (d) -1
c
Let f be (175/(-10))/(-5)*(-2 - -1). Let t be (-26)/36 - 4*2/(-36). Which is the second biggest value? (a) 1/7 (b) f (c) 0.1 (d) t
c
Suppose -2*l = -4*m - 6 + 10, 2*l + 2*m - 8 = 0. Which is the second smallest value? (a) 0.2 (b) -4 (c) -7 (d) l (e) 0.5
b
Let k = -1.8 - -1. Let m = -64 + 67. Suppose 2*g = 11 - m. Which is the second smallest value? (a) 1/7 (b) k (c) g
a
Let y = 7089 + -7092. What is the fourth smallest value in y, 0.07, -0.7, -0.05?
0.07
Let k = 36 - 34.3. Let b = 0.785 - 1.285. What is the biggest value in k, b, 0.1?
k
Let m = 2.8687 + -7.8687. What is the fourth biggest value in 2/3, 19, 2/13, m, 2/17?
2/17
Let j = -39730.6 - -39728. Which is the biggest value? (a) -3 (b) 2/9 (c) -34 (d) j
b
Suppose -96 | {
"pile_set_name": "DM Mathematics"
} |
+ (3*w + 1 - 1)*(-3*w - w + 2*w).
-62*w**2
Expand (0 + 0 - 2*y)*(-12 + 12 - y)*(-46 - 14*y - 54 + 101 + (2 - 1 + 0)*(6*y - y - 3*y) - 2*y + y - y).
-28*y**3 + 2*y**2
Expand (4*n**2 - 6*n**2 + 3*n**2)*(-3*n - n - n) + (-3 + 7 - 2)*(-13*n**3 + 14*n**2 - 14*n**2) + (-11*n**2 + 2 - 2)*(-2*n - 3 + 3).
-9*n**3
Expand (3 - 3 - 2*y**3)*(-1674*y + 1674*y + 241 - 2*y**2).
4*y**5 - 482*y**3
Expand 94*o**5 + 108*o**5 + 2*o**2 - 203*o**5 - 186*o + (-2*o**4 + 0*o**2 + 0*o**2)*(-3*o + 3*o - 2*o).
3*o**5 + 2*o**2 - 186*o
Expand -5*y**4 + y**4 + 2*y**4 + (-3*y**3 + 4*y**3 - 3*y**3)*(89*y + 379 - 379).
-180*y**4
Expand (-273 + 273 + 40*v**3)*(-21 - v**2 + 21).
-40*v**5
Expand (3 - 3 - 2)*(1 - 1 - j + (-3 - 4 + 5)*(0 + 2 + 1)*(2533 - 54*j - 2533)).
-646*j
Expand 2*i**5 + 2*i**5 - 2*i**5 + (4*i**4 - 4*i**4 + 2*i**4)*(3*i - 3*i - 2*i) + (0*i**2 - 2*i**4 + 0*i**2)*(1143 + 48*i - 1143).
-98*i**5
Expand -2*t**4 + 3 - 3 + (-9*t**2 + 95*t - 95*t)*(3*t**2 - 2 + 2).
-29*t**4
Expand (-4*d**2 + 0*d**2 - d**2)*(1 + 0 + 1)*(2 + 81 + 19).
-1020*d**2
Expand (-3*h + h + 0*h)*(-5*h + 3*h + h) + (-3 + 1 - 1)*(21*h**2 - 20*h**2 + 23*h**2).
-70*h**2
Expand (k - k + 4*k)*(0*k + 3*k - k)*(10*k**2 + 10*k**2 - 5*k**2).
120*k**4
Expand (39*x + 23*x**2 - 39*x)*(-12*x**3 - 193*x**2 + 193*x**2).
-276*x**5
Expand (-5 + 1 + 3)*(5*z + 693 + 707 - 1413).
-5*z + 13
Expand 5*h**2 + 2*h**2 - h**2 + (h - 2*h - 3*h)*(3*h - 2*h + 0*h).
2*h**2
Expand (-3*v + 3*v - 2*v)*(-1 - 4 + 4)*(139*v - 33*v - 1 + 14*v).
240*v**2 - 2*v
Expand -97 - 34*u + 97 + (11 + 30*u - 11)*(3 - 2 - 2).
-64*u
Expand -w**4 + w**4 + 2*w**4 - 8*w**2 + 4*w**4 + 8*w**2 + (3*w - 2*w + w)*(0 + 0 - w**3).
4*w**4
Expand 13*u**4 - u - 15*u**5 - 13*u**4 + (-3*u - 4*u**2 + 3*u)*(-2*u - u**2 + u**3 + 2*u).
-19*u**5 + 4*u**4 - u
Expand (3*n**4 - 2*n**4 + 2*n**4 + 2*n**4 - 3*n**4 + 2*n**4 + (-22*n + n**3 + 22*n)*(4*n - n - 2*n) - n**4 + 5*n**4 + 0*n**4 - 2 - 2*n**4 + 2)*(3 - 5 + 3).
7*n**4
Expand (-2 - 5 + 17)*(0*x - 4*x + 3*x + (5 - 5 - 2)*(2*x + 5*x - 4*x)).
-70*x
Expand (8*d - 2*d + 2*d)*(0 + 0 + 2*d**3)*(5 + 3 + 1 + 4*d).
64*d**5 + 144*d**4
Expand -2*w + 5*w - 10*w**2 - 3*w + w**2 - 4*w**2 + w**2 + (2*w + 0*w - w)*(-w + 2*w - 3*w) + w - w**2 - w.
-15*w**2
Expand ((-q - 3*q + 3*q)*(q - q - q) - 6*q**2 - 2*q**2 + q**2)*((3 + 1 - 1)*(2*q**2 + 2*q**2 - 5*q**2) - 3 + q**2 + 3).
12*q**4
Expand (2 + 1 - 1)*(-4*b + 2*b + 0*b + (3 - 2 + 0)*(2*b + 2*b - 5*b) - 2*b + b + 2*b)*(310 + 354 + 739).
-5612*b
Expand (f - 5*f + 2*f)*(-4*f**2 + 2*f**2 - 11*f**2)*(-1 + 5 + f - 2).
26*f**4 + 52*f**3
Expand (175*x - 11*x - 96*x)*(-4*x + 0*x + 2*x) + 3*x**2 - 3 + 3.
-133*x**2
Expand (-31*s - 87*s**2 + 0*s + 32*s)*(4*s + 0*s - 3*s).
-87*s**3 + s**2
Expand 2*a - 2*a - a**3 + (2 - a - 4 + 0*a)*(-3*a**2 + 2*a**2 + 2*a**2) - 4*a**3 - 29*a**3 + 66*a**3.
31*a**3 - 2*a**2
Expand (2*y - 2*y + y)*(-4 - 3 + 3) + (-10 + 0 - 1)*(-3 - y + 3).
7*y
Expand (y**2 - y**2 + y**2 + (y**2 - y**2 + 2*y**2)*(-4 - 32 + 14))*(y**3 - 4*y**3 - y**3).
172*y**5
Expand (h + 2*h**4 - h)*(0*h - 2*h + 3*h) + 2 + 21 + 4*h**5 - 9.
6*h**5 + 14
Expand 127*m**3 - 226*m**3 - 212*m**3 + (0*m**3 + 4*m**3 - m**3)*(1 + 2 - 5).
-317*m**3
Expand (0 + 0 - u**4)*(-3*u + 2*u + 0*u + (2 - 3 + 0)*(0*u - u - u) + u + 3*u - 2*u) - 16*u**4 - 5*u**5 + 16*u**4.
-8*u**5
Expand (-4*q + 4*q - 2*q)*(-2 + 2 + 1) - 19*q - 373282 + 373282.
-21*q
Expand (0*l + 0*l - 3*l)*(-3 + 1 + 3)*(-4 + 10 + 5 + (-2 + 1 - 1)*(-6 + 4 - 2))*(-l + 1 - 1).
57*l**2
Expand (90 + 51 + 5)*(3*w + w - 2*w).
292*w
Expand (5 - 8 - 4)*(-4*u - 2*u + 0*u)*(-2 + 7 - 3).
84*u
Expand 22*w**2 + 5*w**2 - 8*w**2 + (0*w + 2*w - w)*((-2 + 1 - 1)*(-w - 5*w + 4*w) + 5*w - 3*w + 0*w).
25*w**2
Expand (-2*d + 0 + 0)*(2*d + 4*d**3 - 2*d) + (d**2 + d**4 - 2*d**4 + d**2)*(-3 - 20 + 0).
15*d**4 - 46*d**2
Expand 0*w**4 + w**4 + w**4 + (5*w - 5*w - w**3)*(-2*w + 4*w - 4*w) + (17*w**2 + 14*w**2 - 22*w**2)*(8*w**2 - 16*w**2 + 0*w**2)*(-6 + 4 + 0).
148*w**4
Expand 23*j - 10*j + 45*j + (-2*j - 2 + 2)*(-4 + 4 - 2) - 2*j - 3 + 3.
60*j
Expand -2*c**3 + 4*c**3 - 4*c**3 + (9 - 9 - c)*(8*c - 8*c - 14*c**2).
12*c**3
Expand (0 + 2 - 6)*(-3 + 4 + 0)*(4*q**2 + 2*q**2 - 4*q**2).
-8*q**2
Expand (5*i - 3*i - 4*i)*(-73 + 73 - 28*i)*(-1 - 2*i + 2 + 0).
-112*i**3 + 56*i**2
Expand (-4 + 2 + 1)*(4 + 0 - 3)*(-1020 + 1020 + 66*j**2 + (-2 + 2 - 2*j)*(-4*j + 5*j - 3*j)).
-70*j**2
Expand (-3 + 1 + 8)*((-c - 4*c + 4*c)*(0 - 1 + 2) + c + 3*c - 7*c)*(-1 - 3 + 6).
-48*c
Expand ((-6 + 1 + 4)*(84 + 49 - 92)*(0 - 1 + 2) + (0 + 1 - 4)*(2 - 4 + 0))*(4 + d - 4).
-35*d
Expand (-8 + 7*u + 8 + (2 + 7 - 4)*(-u - 2*u + u) + 5 + u - 5)*(0*u**2 + u**2 - 4*u**2).
6*u**3
Expand (4 + 3*f - f - 3)*((2 - 4 + 4)*(2*f - 2*f - 2*f) - 7 + 7 + 2*f).
-4*f**2 - 2*f
Expand 0*x**2 + 0*x**2 - 2*x**3 - 10*x + 4*x**3 + 10*x + (3*x + 3*x - 9*x)*(0*x**2 - x**2 + 3*x**2) - 2*x**3 - 2 + 2 + 2*x - 2*x**3 + 5*x - x.
-8*x**3 + 6*x
Expand -3*l - 2*l**3 + 3*l + (2*l**2 - 5*l**2 + 2*l**2)*(l - l + 2*l) - 4*l**3 + l**3 + 5*l**3 + (2*l**2 - 1 + 1)*(29 - 30*l - 29).
-62*l**3
Expand (5 - 5 + w**2)*(-4*w + 2*w + 3*w) - 3*w**3 - w**3 + 6*w**3 + 2*w**3 - 2*w**3 + 2*w**3 + (-2*w**2 + 2*w**2 + 6*w**2)*(-w - w + 4*w).
17*w**3
Expand (219 - 42 - 68)*(x - 4 + 4 - 3)*(-x - x + 0*x).
-218*x**2 + 654*x
Expand (-5*c - 23 + 14 + 13)*(-4*c - 8*c + 3*c).
45*c**2 - 36*c
Expand (9 + b - 25 + 15)*(541 - 1117 + 687).
111*b - 111
Expand (-3*w + 381 + 434 - 780)*(4*w - 2 + 0 - 13*w).
27*w**2 - 309*w - 70
Expand 3*u**2 - 3*u**2 + u**3 + (-7*u + 7*u + 2*u**3)*(6 + 3 - 6).
7*u**3
Expand -48 + 1 + 0 - 2*o**2 - o**2 + o**2 - o**2 + (3*o - 2*o + o)*(-o + o + o).
-o**2 - 47
Expand (6*t - 2*t - 3*t)*(-t**2 + t**2 + t**2) - 5*t**3 - 8*t**3 + 53*t**2 - 55*t**2.
-12*t**3 - 2*t**2
Expand (-89 - 5 - 2 + (4 - 1 - 2)*(4 - 4 - 1))*(1 + 0 - 3)*(-u + 4*u - u).
388*u
Expand -4*j**3 + 34*j**3 - 11*j**3 + (-2 - 1 + 2)*(j**3 + 0*j**3 + 0*j**3) - j - j**3 + j - 2*j**3 - j**3 + 0*j**3.
14*j**3
Expand (k + 3 - 3)*(-5*k**2 + 19*k**2 + 11*k**2) + (-k**2 - k**2 - k**2)*(-2*k + k + 3*k).
19*k**3
Expand (-3 + 0 - 4)*(13*b - 6*b + 7*b).
-98*b
Expand (-1 + 6 + 0)*(2*j**2 + 4*j**3 - 46*j + 42*j - 3*j**3) + j**3 + 0*j + 0*j.
6*j**3 + 10*j**2 - 20*j
Expand 4*a**2 + 0*a**2 - 2*a**2 + (-17*a - 65*a - 42*a)*(-1 + 1 + a).
-122*a**2
Expand (264 - 17*z - 132 - 136)*(0 + 1 + 1).
-34*z - 8
Expand (-5*f + f + 6*f)*(6*f + 10*f - 6*f) - 8*f**2 - f**2 + 2*f**2 + 2*f**2 + 2*f**2 - 5*f**2 + (2*f**2 + 2*f**2 - 6*f**2)*(-1 - 3 + 3) - 2 + 2 - 2*f**2.
12*f**2
Expand (0 - 1 + 3)*(71*o + 1 + 19*o + 70*o).
320*o + 2
Expand (16*d - 9*d - 12*d + (-5 + 2 + 2)*(2*d + 2*d - 6*d))*(-91*d**2 - 10*d**2 + 36*d**2).
195*d**3
Expand (3 + 3 - 3)*(-d - d + 0*d) + 104*d + 414*d + 106*d - 92*d.
526*d
Expand 28*v**3 - 5*v**3 + 2*v**3 + (2 + 0 - 4)*(v**3 - v**3 + 3*v**3).
19*v**3
Expand (k - 3*k + 6*k)*(3*k - 1 + 1) + 2*k - k**2 - 2*k + 0*k**2 - 6*k**2 + 4*k**2 + (0 + 0 - 2*k)*(2*k + 1 - 1).
5*k**2
Expand (-6*a**3 + 5*a**3 + 3*a**3)*(1125 - 1125 - 2*a + 59*a**2).
118*a**5 - 4*a**4
Expand (3 + 2 - 3)*(5*s - 3*s - 4*s) + (-9 - 13 - 2)*(-6*s + 2*s + 3*s).
20*s
Expand (2*j + j - 4*j)*(0*j + j - 2*j) + (2*j + 2 - 2)*(j - 4*j + 2*j) + 4*j - 4*j + j**2 - 4240 + 4240 + 101*j**2.
101*j**2
Expand (-3 + 3 + j)*(j + j - 5*j)*(8*j**3 + 7*j**3 - 19*j**3 - j**2).
12*j**5 + 3*j**4
Expand (-3*v - 6*v - 15*v)*((5 - 3 - 1)*(-2 - 3 + 0) + 0 + 1 + 0 + (3 + 1 - 2)*(-2 + 0 + 1) - 1 + 1 - 1 + 3 + 2 - 4 + 0 - 1 + 2).
120*v
Expand (-3 + 3 - 1)*(1 - 2 - 1)*(206*v + 163*v - 73*v).
592*v
Expand 5*c**3 - c**3 - 5*c**3 + (2*c + 2*c - 2*c)*(-2 - 329*c**2 - 3 + 214*c**2).
-231*c**3 - 10*c
Expand -3*c + 4*c + 0*c + (2*c - 8*c + 2*c)*(4 + 4 - 4).
-15*c
Expand j**3 + 0*j**2 - 2*j**2 + 2*j**3 + (-32*j**3 - 35*j**3 - 33*j**3)*(6 - 3 - 1).
-197*j**3 - 2*j**2
Expand (-4*k + 0 + 0)*(0 + 1 - 7)*(1 + 2*k - 1).
48*k**2
Expand (-49*u - 24*u - 42*u)*(-4 + 4 - u**2).
115*u**3
Expand (19*s**2 - 4*s**2 - 5*s**2)*(-s - s - s) - 1 - s**3 + 1 + (-5*s**3 + 3*s**3 + 3*s**3)*(1 + 1 - 3) + 2*s**3 - 6*s**3 + 3*s**3.
-33*s**3
Expand (0 + 0 + 3*h**2)*(-1 + 0 + 2)*(-h - h + h)*(-34 + 23 - 54).
195*h**3
Expand 18*g + 2*g + 44*g - 2*g + g + 3*g - 3 + 2*g + 3 + (1 - 4 + 4)*(-2*g - 4*g + 5*g) + 3*g - 3*g + 2*g.
69*g
Expand (-2*j + 3*j + j)*(4*j - 3 + 3 + (3 - 3 + 2*j)*(2 + 5 - 5) + 5*j + 0*j - | {
"pile_set_name": "DM Mathematics"
} |
ecimal place.
-3.3
Let c(n) = 3*n**2 - 55*n - 43. Let b be c(19). Let a be (-1995 + b)/((-1)/(-8350)). Round a to the nearest 1000000.
-17000000
Let b = -76 - -43. Let r = b - -32.984. Let g = r + -0.058. Round g to 2 dps.
-0.07
Let d be ((-5)/(-15) + 0)/((-1)/15). Let x be (10 + d + -6)*(1 - 1). What is x rounded to two decimal places?
0
Let c = -13487.99975626 - -13488. What is c rounded to 5 dps?
0.00024
Let o(v) = 62138*v**3 - 19*v**2 - 15*v + 6. Let f(n) = -n - 44. Let x be f(-35). Let s be o(x). What is s rounded to the nearest one million?
-45000000
Let m = 187 - 290. Let i = m - -102.878. What is i rounded to two dps?
-0.12
Let f = 52.69 - 53. Let v = -56.69 + f. Let s = v + 56.93. Round s to two decimal places.
-0.07
Let y = -63.1 + 63.0999924762. What is y rounded to seven dps?
-0.0000075
Let g = 772236.29759667 + -772628.2976. Let b = -392 - g. What is b rounded to 6 dps?
0.000003
Let n = 0.22796128 - 0.2278. Round n to 5 decimal places.
0.00016
Let p = 2.16954 - -0.22596. Round p to two decimal places.
2.4
Suppose -16956800000 = -20*c - 60*c. Round c to the nearest one million.
212000000
Let t = 219.42 - 226.2. What is t rounded to one dp?
-6.8
Suppose -3*p - 12 = -2*p. Let j be 6/(-36) + (-62)/p. Suppose -j*k = d + 1215, -k + 4923 = -4*d - 0*k. Round d to the nearest one hundred.
-1200
Let d = -23.4 + 23.377. Let h = d + -0.255. Round h to two dps.
-0.28
Let t = 3.1561 + -3.47016. What is t rounded to two decimal places?
-0.31
Let w = -72 - -137. Let d = w + -21.5. What is d rounded to the nearest 10?
40
Let i = 4094.715 + -4082. What is i rounded to 1 dp?
12.7
Let h = -724279 + 720578.37. Let i = h + 3700.61449769. Let j = -0.0155 - i. Round j to seven dps.
0.0000023
Let g = 0.181 - 0.14344. Let a = 1348.04 - 1348. Let r = a - g. Round r to 3 dps.
0.002
Let d = -23375.3 + 22302. What is d rounded to the nearest 10?
-1070
Suppose -4*i = 9 + 3. Let l be (-52)/(-8) - i/(-2). Suppose g + 1531194 = 5*b - 2868806, -5*b + 22000000 = -l*g. What is g rounded to the nearest 1000000?
-4000000
Suppose 4406137 = -7*m + 49*m + 112897. What is m rounded to the nearest one hundred thousand?
100000
Let a = -84 + -125.3. What is a rounded to the nearest ten?
-210
Let m(n) = -1238750*n. Let h(a) = -a**2 - 12*a + 26. Let w be h(-12). Let v be (-8)/(-10)*(16 - w). Let s be m(v). What is s rounded to the nearest 1000000?
10000000
Let h = -717.9029 - -717.6. Let y = -172.9971 + h. What is y rounded to zero decimal places?
-173
Let q = -2355 - -2520. Round q to the nearest 10.
170
Let k = 390 + -563. Let c = -173.00000545 - k. What is c rounded to 6 decimal places?
-0.000005
Suppose 405*g = 410*g - 20. Let r(l) = -30*l**3 - 4*l**2 + 3*l - 6. Let s be r(g). What is s rounded to the nearest 100?
-2000
Let n = 3825 + -3824.999983755. Round n to 7 decimal places.
0.0000162
Suppose -11*s - 8*s + 95 = 0. Suppose 2*z + 2*z + 10474 = s*w, -7856 = 3*z - 4*w. What is z rounded to the nearest 100?
-2600
Let k(v) = -v**3 - 6*v**2 - 12*v - 1. Let m be k(-4). Let h be ((-680)/m)/(16/(-72)). Round h to the nearest 10.
200
Let w = 3546 + -6183. Let z = -2669.58 - w. Let l = 32 + z. What is l rounded to one decimal place?
-0.6
Let r = -0.01792 + 0.02669. Round r to 3 decimal places.
0.009
Let b = 0.2228636 - 0.0658709. Let k = 195.157 - 195. Let u = b - k. Round u to six decimal places.
-0.000007
Let a be (2 - 1) + 1 - (-364)/2. Suppose -4*x + a = 4*s + 36, -86 = -3*x + 2*s. Suppose -x*c - 1992 = -38*c. What is c rounded to the nearest 100?
300
Let j = 2877.7944 + 3.7056. Round j to the nearest 1000.
3000
Let j = 0.4 - 0.336. Let q = 0.00134 - 29.66534. Let f = j + q. Round f to the nearest ten.
-30
Let y = -73 + 203. Let t = y - 146. Let v = -15.9774 - t. What is v rounded to three dps?
0.023
Let a = -4708 - -4707.999999583. What is a rounded to 7 decimal places?
-0.0000004
Let j = -5655450 - -3783972. Let x = j - -1316478. Round x to the nearest 10000.
-560000
Let q = -268675 + 268834.267. Let g = 159 - q. What is g rounded to 2 dps?
-0.27
Let o = 4.24 + -0.24. Let w = -4.052 + o. Let h = -0.0523 - w. What is h rounded to 4 dps?
-0.0003
Let j = -11739.99965642 - -11740. What is j rounded to five dps?
0.00034
Let v = 30139.7771 - 30141. What is v rounded to 1 dp?
-1.2
Suppose -98 = -5*q + 5477. What is q rounded to the nearest 1000?
1000
Let l = 25906.89231092 + 4836763.60769208. Let z = -4862617.5 + l. Let b = z - 53. What is b rounded to five decimal places?
0
Let g = -1299.716 - -1291. Round g to 1 dp.
-8.7
Let n = -0.19676 + 1928.49676. What is n rounded to the nearest 10?
1930
Let s = -150.966 - -150.9659922601. Round s to six decimal places.
-0.000008
Let w = -32.337 - -32.2. Let x = w - -0.136999. What is x rounded to 6 dps?
-0.000001
Suppose -4 = 3*m - 19. Suppose -x = -2*j + x + 16392, 4*j - m*x = 32780. Suppose -15*q + 17*q + j = 0. Round q to the nearest one thousand.
-4000
Let a = 3279 - 3279.00056263. Round a to five decimal places.
-0.00056
Let f = 21248846 + -21247500.0803. Let o = 1346 - f. What is o rounded to 2 decimal places?
0.08
Let y(p) = -p**2 - p - 90. Let v be y(0). Let j = v + 201. Suppose 1719 = k - j. What is k rounded to the nearest 100?
1800
Let q(a) = 3078*a + 16699*a + 57327*a - 337 + 56904*a - 17415*a. Let b be q(9). What is b rounded to the nearest one hundred thousand?
1000000
Let j = -256 + 268.85. Let h = j - 30.78. What is h rounded to the nearest integer?
-18
Let g = -0.0422868 + -2781017.9577132. Let s = -2781017.1000004 - g. Let n = s + -0.9. Round n to 6 decimal places.
0
Let l be 18545 - (6*1/3 + -4). Let h = 32927 - l. Round h to the nearest one thousand.
14000
Let z = -3613.09271 + 3613. Round z to two decimal places.
-0.09
Let s = 0.1155 + 26.6925. Let g = s - 26.5. What is g rounded to 2 decimal places?
0.31
Let x = 0.013899 - -42.040101. Let f = 42 - x. What is f rounded to 2 decimal places?
-0.05
Let i be (-28)/(-42) - (-3640)/(-6). Let k = i - 1214. What is k rounded to the nearest 1000?
-2000
Let o = -363 + 753. Let t = o + -264. Let w = t + -126.0000059. Round w to 6 dps.
-0.000006
Let d = -4591.99999398 + 4592. Round d to 6 decimal places.
0.000006
Let i = -3271.08 + 3202. Round i to the nearest integer.
-69
Let h = -217 - -161. Let j = -708173595.00000044 + 708173539. Let v = j - h. Round v to seven dps.
-0.0000004
Let u = 244.57643 - 0.38643. What is u rounded to the nearest ten?
240
Let r = 64 + 240. Let v = r + -370.8. What is v rounded to the nearest integer?
-67
Let h = -13.21 - 201.765. Let r = h + 216. What is r rounded to one dp?
1
Let j = 73190.706 + -73515. Let g = -329.85 + 5.85. Let f = j - g. Round f to 2 decimal places.
-0.29
Let x(n) = -52622*n**3 - n**2 + 4*n. Let u = 121 + -124. Let a be x(u). Let t = a - 796773. What is t rounded to the nearest 100000?
600000
Let g = -252.7 - -253.2369. Let i = 0.0799 - g. What is i rounded to two dps?
-0.46
Let c = -76.3 + 18. Let h = c - -59. Round h to 0 dps.
1
Let t = 1.44995 + -2.1335. Round t to 2 decimal places.
-0.68
Let c = -9243 - -9244.9244. Let f = -0.0094 + c. Round f to one dp.
1.9
Let c = -26377 + 26414.498. What is c rounded to 0 decimal places?
37
Let j = -12670 - -3577. Let b = j + 13793. Round b to the nearest one hundred.
4700
Let a = 21542.9999869544 + -21543. Round a to seven dps.
-0.000013
Let w = -17 + 25. Let r = w - 6. Suppose 5*j + 400020 = r*s, -2*j + 599996 = 3*s - j. What is s rounded to the nearest ten thousand?
200000
Let f = -4.36700354 - -4.367. Round f to seven decimal places.
-0.0000035
Let p = 819.082117222 - -1.917813478. Let c = p - 821. What is c rounded to 6 dps?
-0.000069
Let d = -1246.59 - -1254. Let h = -8.185 + d. Round h to 2 dps.
-0.78
Let l = 39176.276 - 39411. What is l rounded to the nearest 10?
-230
Let t = 0.871 - 446.871. Let v = t + 444.004. What is v rounded to one dp?
-2
Let v = 260935.078413 + -257898.3714. Let h = 3236.7069 - v. Let k = -200 + h. Round k to 5 decimal places.
-0.00011
Let v = -4111.933 + 4111. What is v rounded to one decimal place?
-0.9
Let y = -2377802 + 4373602. Round y to the nearest one hundred thousand.
2000000
Suppose 0 = 4*t - 5*k - 150782, -38275 + 226773 = 5*t + 4*k. Suppose 2*i = -2*x + 5*x + 113096, -i = -x - t. What is x rounded to the nearest 10000?
-40000
Let p = -709.9 - | {
"pile_set_name": "DM Mathematics"
} |
e s.
0
Rearrange (3*o + 3*o - 5*o)*(4 - 4 - 12*o) - 3*o**2 + 4*o**2 - 9*o**2 to the form r*o**2 + n*o + m and give r.
-20
Rearrange (34*c + 39*c - 15*c)*(2 - 3 + 3) to q + m*c and give m.
116
Express (5*g - 3*g + 0*g)*(65 - 37 - 35) as z*g + d and give z.
-14
Rearrange (0*r**2 + 3*r**2 + 0*r**2)*(3 - 3 + 1)*(-1 - 1 + 5) to a + p*r + l*r**2 and give l.
9
Rearrange n**3 - 2*n**3 - 2*n - 27 - 2*n**3 + 4*n**3 to w + b*n**3 + j*n**2 + z*n and give z.
-2
Express -21*k - 49 + 49 in the form o + w*k and give w.
-21
Rearrange 40*q**2 + 47*q**2 + 16*q**2 to z*q**2 + a + v*q and give z.
103
Express 11*g**2 + 304*g - 304*g - 7*g**2 - 11 in the form m*g**2 + a + t*g and give t.
0
Rearrange (5 - 4 + 1)*(-4 - 2 + 4)*(81*b + 28*b + 6*b) to l*b + m and give l.
-460
Express i**2 - 2*i**2 + i - 4*i + 0*i**2 - 3*i**4 as h*i**4 + v*i**3 + w*i + o*i**2 + j and give w.
-3
Rearrange -11*r**2 + r**2 - 2 + 0*r**2 + 0*r**2 to the form m*r + u*r**2 + i and give u.
-10
Rearrange -75 + 75 - 18*h to the form v*h + d and give v.
-18
Express (-2 + 25*q - 164*q - 167*q)*(-2*q + q + 0*q) - 2*q**2 + q**2 - q**2 as k*q**2 + v + l*q and give l.
2
Express (3*m**2 + 2*m**2 - 3*m**2)*(-6*m + 3*m + 2*m)*(-1172 - 138*m + 1172) as a + n*m + x*m**4 + b*m**2 + g*m**3 and give x.
276
Express -8 - 8*v**4 + 11*v**4 + 2*v + 7 - 4*v**3 in the form l*v**2 + x*v**3 + p*v + g*v**4 + r and give g.
3
Express 0*v + v + 20*v**3 - 17*v**3 in the form m + r*v**3 + x*v**2 + q*v and give x.
0
Express 21*m + 5*m**2 - 21*m + 68*m**2 as r*m**2 + h + t*m and give h.
0
Rearrange (-5*t**4 + 2*t**4 + 2*t**4)*(3 + 0 + 0 + (-4 + 2 + 4)*(-7 + 3 + 2)) to n*t**3 + s*t + a + r*t**4 + b*t**2 and give r.
1
Rearrange (2*o - o - 2*o)*(-20*o - 18*o + 7*o) + 6 - o**2 - 1 - 4 to w*o + x + n*o**2 and give n.
30
Express -29*m**2 - m**3 + 29*m**2 + 3*m as p*m**2 + i*m + c + y*m**3 and give i.
3
Rearrange d**3 + 4*d**3 - 3*d**3 + 2 - 5 - 2*d**2 to q*d + z*d**2 + k + u*d**3 and give k.
-3
Rearrange 12*k**3 - 3 + 1 + 0 - k**4 to the form t*k**3 + q*k**4 + g*k**2 + v*k + n and give n.
-2
Express 3*t**3 + 10*t + 6*t**4 + 2 - 11*t - 5*t**3 - 27*t**4 as i + f*t + n*t**4 + v*t**3 + u*t**2 and give n.
-21
Rearrange (-13*g + 22*g - 12*g)*(-g**2 + 1 - 1)*(0 + 0 - g) to the form r*g**4 + s*g + d + p*g**3 + k*g**2 and give p.
0
Express -38 - 38 + 9*a**2 + 77 as t + y*a**2 + s*a and give y.
9
Rearrange -2*w**3 + 0*w + w + w + w**3 to x*w**2 + l + k*w + q*w**3 and give k.
2
Express 27*b**4 + 7*b**4 + 0 + 0 + b**3 - 2*b**2 - 1 in the form m*b**4 + t*b + w*b**3 + x + y*b**2 and give y.
-2
Express 3*k - 2*k + 0*k + (k + 7 - 7)*(-3 - 4 + 2) as w + u*k and give u.
-4
Express (-4*p**2 + p**2 + 6*p**2)*(-15 + 3 + 3) as u*p**2 + x*p + i and give x.
0
Rearrange (2*i + i - 5*i)*(2 + 3 - 3)*(-50 + 36 - 32) to v*i + l and give v.
184
Rearrange -12 + 47*z**3 - 28*z**3 - 18*z**3 - 2*z**2 to x*z**3 + a + u*z + v*z**2 and give x.
1
Express -18*u - 22 + 22 as x + a*u and give a.
-18
Rearrange 0*x**4 + x**4 + 4 - 2*x - 3*x**2 - 3 + 0 to h*x**3 + i*x**2 + r*x + s*x**4 + o and give r.
-2
Express 4*j - j**2 - 1 + 1 as q*j**2 + b + l*j and give l.
4
Rearrange -9*t - 9*t**2 - 7*t**3 + 11*t**2 + 8*t to n*t**2 + d*t**3 + m + g*t and give d.
-7
Express -24*v**2 + 77*v**2 + 28 - 26 in the form o*v**2 + a*v + j and give o.
53
Express 2106 + 6*a - 2106 - 3*a**2 in the form v + q*a + x*a**2 and give x.
-3
Express (-851*o + 851*o - 2*o**2)*(-o**2 - 2*o**2 + 4*o**2) in the form v*o**3 + m*o**2 + u*o + n*o**4 + s and give n.
-2
Express (4*b + 2*b**2 - 4*b)*(-5*b + 5*b + 8*b) - 2*b**3 + 0*b**3 + 5*b**3 as t*b**3 + q*b**2 + s + r*b and give t.
19
Rearrange (-1 + 2 + 1)*(-d + 0 + 0) + 2*d + 2*d - 2*d + (-d + 3 - 3)*(3 - 3 - 1) + 3*d - 5*d + 0*d to k + s*d and give s.
-1
Rearrange (1 + 1 + 2 + (-4 + 0 - 1)*(3 + 5 - 3))*(2 - 2*u - 2) to the form n*u + q and give q.
0
Rearrange (-i**3 + 4*i**3 - i**3)*(3*i - 64*i - 18*i) to p*i + n*i**4 + s + j*i**3 + u*i**2 and give n.
-158
Rearrange -4*v**2 + 11*v - 12*v - v - 4 to the form f*v + n + i*v**2 and give i.
-4
Express -16*w**3 + 16*w**3 + 3*w**4 + (2*w - 3 + 3)*(-2*w**3 - w**2 + w**2) as j*w**3 + z*w + n + f*w**2 + l*w**4 and give l.
-1
Express 1 + 6*y - 11*y - y**4 - 6*y**2 + 3*y**2 in the form t*y + i*y**4 + a*y**3 + g + w*y**2 and give g.
1
Express 55*i + 1 - 1 - 22*i as j*i + z and give j.
33
Express 6*a**3 - 6*a**3 + a**4 + 0 - 5 + 2*a**2 as b + m*a**3 + f*a**2 + q*a**4 + l*a and give b.
-5
Express 6*c + 6 - 6 + 19*c in the form g*c + v and give g.
25
Rearrange (-5 + 2 + h - 1)*(0*h**2 - 5*h**2 + 9*h**2)*(-8 + 8 + 8*h) to the form j*h**2 + z*h + a*h**3 + g + y*h**4 and give y.
32
Express -2*t**2 - 3*t**2 + 5*t**2 - t**2 as o*t + w*t**2 + f and give w.
-1
Express -3*b**3 - b**3 + 3*b**3 + b**2 + 3*b + 3*b**3 in the form i*b + a*b**2 + s*b**3 + m and give a.
1
Express 2*a - 2*a - a**3 + (-4 - 3*a + 4)*(-a**2 + 3*a**2 + 0*a**2) as v + m*a**3 + p*a**2 + s*a and give s.
0
Express 1 - 2*k**4 - 3*k**3 - k**2 - 6*k**3 + 8*k**3 - 3*k**3 in the form j*k**4 + q*k + n*k**2 + a + c*k**3 and give c.
-4
Rearrange (-2*v + 0*v + v)*(-2 + 1 + 0) + v + 73 - 71 - 9*v to n*v + f and give f.
2
Rearrange -76 + 2*d + 76 to t*d + v and give t.
2
Rearrange n**3 + 2*n**2 - n**2 + 2*n**3 + n**3 to the form j*n**3 + h*n + k + q*n**2 and give j.
4
Rearrange (-4*n + 4*n + 8*n)*(2*n + 6*n + n) to b*n + f*n**2 + v and give f.
72
Rearrange (2 - y**2 - 2)*(0 - 4 + 5) + y**2 + 5*y**2 + 0*y**2 - y**2 - 2*y**2 + y**2 + (-5 - 2*y + 5)*(2*y - 5*y + 4*y) to l*y**2 + s + f*y and give l.
1
Rearrange -4*u + 2*u - u + 6*u to a + p*u and give a.
0
Express 1732*v**2 + 13 - 1732*v**2 - v**3 - v**3 in the form p*v + b*v**3 + s + m*v**2 and give b.
-2
Rearrange (0*h + 0*h + 44 + h)*(0*h**2 - 5*h**2 + h**2) to the form b + k*h**2 + r*h**3 + t*h and give r.
-4
Rearrange 138 - 2*k**2 - 134 - 4*k**2 + (2*k**2 + k**2 - 2*k**2)*(-5 + 5 + 2) to w + m*k**2 + u*k and give w.
4
Express (2*f**2 - 1 + 3 + 0*f**2)*(-3*f + f + 4*f)*(61 + 32 - 23) in the form k*f**2 + i*f**3 + y*f + d and give k.
0
Rearrange -5*q**2 + 3*q**4 + 3*q**2 + 1 + q**3 + 0*q**4 to w*q**3 + c*q + r + l*q**2 + d*q**4 and give r.
1
Rearrange -45*f**2 + 5*f**3 + 7*f + 45*f**2 + f + 2 to u + b*f + c*f**2 + h*f**3 and give b.
8
Express -3*p - 7*p + 0*p in the form f + i*p and give i.
-10
Express -3*p**3 - 3*p**3 + 4*p**3 + 2*p + p**2 - p**3 - 7 as i*p**3 + d*p + k*p**2 + u and give i.
-3
Rearrange -14*s + s**2 + 21*s**2 + 14*s to g + k*s + q*s**2 and give q.
22
Express -13*m + 7*m - 17*m as c + x*m and give x.
-23
Rearrange 3*q - q**4 + q**3 + 1 - 6*q + 2*q + 2*q**3 to a*q + j*q**3 + m*q**2 + n + b*q**4 and give a.
-1
Rearrange 0*h - 8*h + 37*h + (-1 - 3 + 5)*(-h - 2*h + 2*h) to the form j + o*h and give o.
28
Rearrange y - y - 12 + y**4 + 13 - 3*y**2 to l*y**4 + j*y**2 + h*y**3 + b + f*y and give l.
1
Rearrange v**4 - v**4 + 2*v**4 + (v**3 + 4*v**3 - 4*v**3)*(-6*v + 44*v + 6*v) to h*v**4 + j*v + b*v**2 + p*v**3 + z and give h.
46
Express -18*z**2 + 12 - 12 in the form y + u*z**2 + j*z and give u.
-18
Express (5 - 5 + 2)*(-1 - 5 + 3)*(3*d - 3*d + 11*d) in the form b + i*d and give i.
-66
Express -2*c**4 + 0*c**3 + 0*c**3 + (-969 + 63*c**2 + 969)*(-3*c**2 + 0*c**2 + c**2) in the form k*c**4 + l + t*c**3 + i*c + m*c**2 and give k.
-128
Express -2*h - h + 7*h + (-1 + 1 - 2*h)*(0 + 4 + 0) in the form g + a*h and give a.
-4
Express -5*z**3 + 119*z**4 - 120*z**4 + 3*z - 2*z**3 - 5*z in the form y + t*z**2 + m*z + x*z**4 + c*z**3 and give x.
-1
Express (3*l - 3*l + l)*(3 - 2 + 0) + (-1 - 3 + 1)*(-3 + 3 - 6*l) as f*l + w and give f.
19
Rearrange 10*z + 18*z + 17*z + 8*z to the form y + l*z and give l.
53
Rearrange -3*y**2 - 13*y**2 + 13*y**2 - 5*y**3 + 4 + 0*y**2 to f*y + g*y**3 + w*y**2 + n and give n.
4
Rearrange 27 - 10 - 11*j - 17 to l*j + h and give l.
-11
Express -3*z**3 - 33*z**2 + 5 + 36*z**2 - 6*z - 5 as h*z + w*z**2 + y*z**3 + m and give y.
-3
Express 2 + 5*h**3 + 2*h - 3*h**3 + h**2 - h**2 as u + r*h**3 + f*h + k*h**2 and give r.
2
Rearrange -5*y - 13*y + 7*y to q*y + k and give q.
-11
Rearrange 14 + 15 - 8*s - 31 to the form h + o*s and give h.
-2
Express q**3 - 10 + 9 - 3*q**4 + 2*q**4 + 4*q as r*q**2 + b + z*q + w*q**3 + o*q**4 and give b.
-1
Express 2 - 2*h + 5 + 3 - 8 in the form x*h + f and give x.
-2
Expres | {
"pile_set_name": "DM Mathematics"
} |
23652272
Calculate the common denominator of 59/3825 and -29/315.
26775
Calculate the common denominator of 31/1947418 and 19.
1947418
What is the common denominator of 107/10 and -85/131972?
659860
What is the lowest common multiple of 36532 and 146128?
146128
Calculate the smallest common multiple of 4940 and 7345.
558220
Calculate the common denominator of -83/10332 and -97/180810.
361620
What is the least common multiple of 58731 and 21?
411117
Find the common denominator of -83/16524 and -125/24.
33048
Find the common denominator of -15 and -79/4053.
4053
Calculate the smallest common multiple of 5265 and 10530.
10530
Calculate the least common multiple of 6775 and 2981.
74525
What is the lowest common multiple of 574 and 3157?
6314
What is the common denominator of -1/19932 and -73/311664?
3428304
Calculate the lowest common multiple of 141722 and 70861.
141722
Find the common denominator of -119/11290 and -71/2258.
11290
What is the smallest common multiple of 783060 and 36?
2349180
Calculate the common denominator of -4/38573 and 47/119.
270011
What is the common denominator of 139/9330 and 83/14928?
74640
What is the smallest common multiple of 2346 and 56304?
56304
Find the common denominator of -71/18 and 133/12888.
12888
Calculate the least common multiple of 1664 and 40352.
161408
What is the common denominator of -101/216 and -91/156006?
624024
Calculate the common denominator of 93/2312 and -3/67915.
543320
Calculate the smallest common multiple of 914962 and 1471.
914962
What is the lowest common multiple of 59070 and 37590?
413490
Calculate the common denominator of 17/552 and -101/2520.
57960
Calculate the common denominator of 19/10908 and -37/303.
10908
Calculate the common denominator of -14/248775 and -79/2325.
248775
Calculate the common denominator of -31/204 and -133/120.
2040
What is the least common multiple of 252 and 6234?
261828
What is the least common multiple of 798 and 16302?
114114
Calculate the least common multiple of 22 and 472.
5192
Calculate the common denominator of 35/484 and 127/792.
8712
What is the lowest common multiple of 1240 and 632524?
6325240
Calculate the common denominator of 131/264444 and 14/5.
1322220
Find the common denominator of 131/6 and -101/59380.
178140
Find the common denominator of 107/1560 and 131/650.
7800
What is the common denominator of 1/5070 and 83/3900?
50700
Calculate the least common multiple of 5904 and 6478.
466416
What is the least common multiple of 15237 and 18623?
167607
What is the smallest common multiple of 218925 and 29190?
437850
What is the smallest common multiple of 1 and 9451?
9451
Calculate the lowest common multiple of 9428 and 21213.
84852
What is the common denominator of 157/57912 and -47/2667?
405384
Find the common denominator of -73/18 and -47/32526.
32526
Calculate the common denominator of -41/2932 and -59/44.
32252
What is the lowest common multiple of 612 and 31212?
31212
Calculate the least common multiple of 93 and 279.
279
What is the common denominator of -31/112 and -31/3712?
25984
What is the common denominator of -113/12048 and -79/100400?
301200
Calculate the least common multiple of 192 and 736.
4416
Calculate the common denominator of 37/570 and -79/13585.
81510
What is the common denominator of 53/22781 and -3/76?
91124
What is the lowest common multiple of 322 and 202?
32522
What is the lowest common multiple of 15 and 2085?
2085
Calculate the common denominator of 5/36698 and 61/1244.
73396
Find the common denominator of 49/1184 and -143/72.
10656
Calculate the lowest common multiple of 153 and 765.
765
What is the lowest common multiple of 105320 and 315960?
315960
What is the smallest common multiple of 50 and 14215?
142150
What is the common denominator of 53/5302 and 27/12532?
137852
Calculate the smallest common multiple of 19698 and 36783.
3604734
Calculate the lowest common multiple of 435564 and 22.
4791204
Find the common denominator of 69/112618 and -1/220.
1126180
What is the common denominator of 89/260 and -67/16216?
1054040
What is the lowest common multiple of 58175 and 6?
349050
What is the common denominator of 43/140 and 93/10136?
50680
Calculate the lowest common multiple of 240 and 13360.
40080
What is the common denominator of -68/2289 and 173/3270?
22890
What is the least common multiple of 30 and 9135?
18270
Calculate the least common multiple of 434 and 5446.
168826
What is the common denominator of 91/148875 and 119/7146?
893250
What is the common denominator of 19/33 and -7/101139?
1112529
Find the common denominator of -1/340671 and -121/12.
1362684
Find the common denominator of 129/170 and -199/529380.
529380
Calculate the common denominator of 39/14519 and -54/72595.
72595
Calculate the least common multiple of 15 and 3060.
3060
What is the least common multiple of 2200 and 127050?
508200
Find the common denominator of 57/3566 and -65/6.
10698
Calculate the lowest common multiple of 111148 and 10.
555740
Calculate the lowest common multiple of 16450 and 3008.
526400
Calculate the common denominator of -17/10 and -27/715199.
7151990
What is the lowest common multiple of 98748 and 99?
1086228
Calculate the common denominator of 7/1935 and -38/22005.
946215
What is the least common multiple of 66 and 6342?
69762
What is the common denominator of 25/226884 and -65/1708?
13839924
Calculate the common denominator of 27/3943 and -149/165606.
165606
Calculate the lowest common multiple of 7209 and 36045.
36045
Calculate the common denominator of -1/78234 and 109/28730.
5085210
Calculate the common denominator of 109/96 and -27/142328.
1707936
Calculate the lowest common multiple of 6424 and 22528.
1644544
Calculate the smallest common multiple of 24 and 638.
7656
What is the common denominator of -143/2170 and -2/1045289?
10452890
Calculate the lowest common multiple of 1836 and 216852.
1951668
Calculate the common denominator of -3/85546 and 9/52.
2224196
Calculate the least common multiple of 51348 and 42012.
462132
What is the least common multiple of 36 and 306?
612
Calculate the lowest common multiple of 63 and 315924.
947772
What is the lowest common multiple of 62 and 6834?
211854
Calculate the lowest common multiple of 267618 and 11.
2943798
Find the common denominator of 50/273 and 31/1131.
7917
Calculate the least common multiple of 1421 and 145.
7105
Calculate the lowest common multiple of 5676 and 1032.
11352
What is the smallest common multiple of 201 and 11658?
11658
Calculate the least common multiple of 254646 and 60630.
1273230
Calculate the least common multiple of 2052 and 6048.
114912
What is the lowest common multiple of 624 and 321?
66768
What is the common denominator of -85/1738 and 109/1106?
12166
Find the common denominator of 53/246 and -79/10455.
20910
What is the least common multiple of 328 and 33784?
33784
What is the least common multiple of 8524 and 4262?
8524
What is the lowest common multiple of 24882 and 9048?
99528
Find the common denominator of -14/134611 and -5/1816.
1076888
What is the least common multiple of 380268 and 3?
380268
What is the common denominator of 79/161055 and 67/42?
2254770
What is the common denominator of -31/48 and -69/9496?
56976
Find the common denominator of -31/1845 and -107/7710.
948330
Find the common denominator of -53/10570 and 13/105.
31710
Calculate the common denominator of 191/630 and 19/17136.
85680
Calculate the lowest common multiple of 1490892 and 380.
7454460
Calculate the lowest common multiple of 1917335 and 11.
21090685
Calculate the common denominator of 53/93 and -34/4887.
151497
Find the common denominator of -68/693 and -31/7581.
250173
What is the smallest common multiple of 40960 and 90?
368640
What is the lowest common multiple of 682 and 6?
2046
What is the common denominator of 17/2266 and -61/66?
6798
What is the least common multiple of 16588 and 260?
82940
What is the common denominator of 41/775 and 47/14415?
72075
Find the common denominator of -167/960 and -83/427760.
5133120
Calculate the smallest common multiple of 24057 and 10692.
96228
What is the least common multiple of 88358 and 152?
6715208
What is the smallest common multiple of 7581 and 20577?
144039
What is the common denominator of -39/60064 and - | {
"pile_set_name": "DM Mathematics"
} |
What is the m'th term of 277, 244, 143, -62, -407, -928, -1661?
-6*m**3 + 2*m**2 + 3*m + 278
What is the s'th term of -148, -287, -412, -517, -596, -643, -652, -617?
s**3 + s**2 - 149*s - 1
What is the l'th term of -365, -369, -375, -383, -393?
-l**2 - l - 363
What is the z'th term of -197, -197, -187, -161, -113, -37, 73, 223?
z**3 - z**2 - 4*z - 193
What is the k'th term of 485, 964, 1443, 1922?
479*k + 6
What is the t'th term of -653, -669, -695, -731, -777, -833, -899?
-5*t**2 - t - 647
What is the v'th term of 12, -47, -120, -213, -332, -483, -672, -905?
-v**3 - v**2 - 49*v + 63
What is the x'th term of -6, 48, 102, 156, 210, 264?
54*x - 60
What is the r'th term of 1244, 2513, 3782?
1269*r - 25
What is the o'th term of -5515, -5516, -5517?
-o - 5514
What is the h'th term of -21, -22, -23, -24, -25, -26?
-h - 20
What is the o'th term of 17, 91, 301, 713, 1393, 2407?
11*o**3 + 2*o**2 - 9*o + 13
What is the u'th term of -34, -48, -74, -124, -210, -344, -538?
-2*u**3 + 6*u**2 - 18*u - 20
What is the y'th term of 9, -77, -307, -753, -1487, -2581, -4107, -6137?
-12*y**3 - 2*y + 23
What is the r'th term of 3, -65, -251, -615, -1217, -2117, -3375?
-10*r**3 + r**2 - r + 13
What is the k'th term of 49, 186, 413, 730?
45*k**2 + 2*k + 2
What is the a'th term of -248, -1002, -2258, -4016, -6276, -9038?
-251*a**2 - a + 4
What is the y'th term of -1654, -1652, -1650, -1648, -1646?
2*y - 1656
What is the x'th term of -185, -196, -211, -230, -253, -280, -311?
-2*x**2 - 5*x - 178
What is the i'th term of 350, 348, 346, 344, 342, 340?
-2*i + 352
What is the v'th term of 3, 11, 19, 27?
8*v - 5
What is the c'th term of 104, 203, 298, 389, 476, 559?
-2*c**2 + 105*c + 1
What is the h'th term of -106, -214, -318, -418, -514, -606, -694?
2*h**2 - 114*h + 6
What is the b'th term of 1102, 2204, 3306, 4408?
1102*b
What is the u'th term of -43, -49, -57, -67, -79?
-u**2 - 3*u - 39
What is the k'th term of -175, -327, -479, -631, -783?
-152*k - 23
What is the i'th term of -364, -369, -374, -379?
-5*i - 359
What is the o'th term of -387, -774, -1161, -1548, -1935, -2322?
-387*o
What is the a'th term of 9, 30, 65, 114, 177?
7*a**2 + 2
What is the f'th term of -1, 5, 27, 71, 143?
f**3 + 2*f**2 - 7*f + 3
What is the u'th term of -112, -133, -168, -223, -304, -417, -568?
-u**3 - u**2 - 11*u - 99
What is the k'th term of -36, -147, -340, -621, -996, -1471, -2052, -2745?
-k**3 - 35*k**2 + k - 1
What is the r'th term of 0, -131, -488, -1185, -2336, -4055?
-19*r**3 + r**2 - r + 19
What is the i'th term of -109, -109, -111, -115, -121?
-i**2 + 3*i - 111
What is the m'th term of -6, -5, -42, -135, -302, -561, -930, -1427?
-3*m**3 - m**2 + 25*m - 27
What is the l'th term of -7, -25, -69, -151, -283?
-2*l**3 - l**2 - l - 3
What is the d'th term of -525, -521, -517?
4*d - 529
What is the a'th term of -182, -172, -158, -140, -118, -92?
2*a**2 + 4*a - 188
What is the v'th term of -47, -45, -43, -41, -39?
2*v - 49
What is the o'th term of 23, 48, 75, 104, 135?
o**2 + 22*o
What is the z'th term of -1050, -1049, -1048, -1047, -1046?
z - 1051
What is the j'th term of -30, -39, -70, -135, -246?
-2*j**3 + j**2 + 2*j - 31
What is the n'th term of 10, 11, 12, 13?
n + 9
What is the m'th term of -73, -67, -61, -55?
6*m - 79
What is the a'th term of -52, -103, -154, -205, -256?
-51*a - 1
What is the i'th term of 45, 79, 123, 183, 265, 375, 519?
i**3 - i**2 + 30*i + 15
What is the o'th term of -29, -49, -79, -125, -193, -289, -419, -589?
-o**3 + o**2 - 16*o - 13
What is the k'th term of -24, -50, -86, -132, -188, -254?
-5*k**2 - 11*k - 8
What is the p'th term of 976, 1950, 2916, 3868, 4800, 5706, 6580, 7416?
-p**3 + 2*p**2 + 975*p
What is the x'th term of 5824, 5826, 5828?
2*x + 5822
What is the a'th term of -21, -17, -11, -3, 7, 19, 33?
a**2 + a - 23
What is the q'th term of 4, -12, -50, -122, -240, -416, -662?
-2*q**3 + q**2 - 5*q + 10
What is the k'th term of 1510, 3012, 4514?
1502*k + 8
What is the x'th term of -44, 6, 238, 742, 1608?
15*x**3 + x**2 - 58*x - 2
What is the f'th term of -30, -28, -26?
2*f - 32
What is the d'th term of -44, -74, -104, -134?
-30*d - 14
What is the n'th term of 9174, 9175, 9176, 9177, 9178?
n + 9173
What is the g'th term of -405, -398, -393, -390, -389?
-g**2 + 10*g - 414
What is the i'th term of -73, -458, -1511, -3568, -6965, -12038?
-56*i**3 + 2*i**2 + i - 20
What is the b'th term of 54, 265, 626, 1143, 1822, 2669, 3690?
b**3 + 69*b**2 - 3*b - 13
What is the n'th term of -1653, -1654, -1655, -1656, -1657?
-n - 1652
What is the o'th term of 6881, 13761, 20639, 27515, 34389, 41261?
-o**2 + 6883*o - 1
What is the z'th term of -178, -649, -1428, -2509, -3886?
z**3 - 160*z**2 + 2*z - 21
What is the c'th term of 21, 42, 55, 54, 33, -14?
-c**3 + 2*c**2 + 22*c - 2
What is the o'th term of 24, 50, 78, 108?
o**2 + 23*o
What is the m'th term of -495, -425, -315, -171, 1?
-m**3 + 26*m**2 - m - 519
What is the b'th term of 102, 101, 100, 99, 98, 97?
-b + 103
What is the u'th term of -18, -6, 6, 18, 30, 42?
12*u - 30
What is the o'th term of -2, -5, -2, 13, 46, 103, 190, 313?
o**3 - 3*o**2 - o + 1
What is the s'th term of 595, 1187, 1765, 2323, 2855?
-s**3 - s**2 + 602*s - 5
What is the m'th term of 461, 441, 421, 401?
-20*m + 481
What is the t'th term of -23, -29, -31, -29, -23?
2*t**2 - 12*t - 13
What is the p'th term of -32, 1, 48, 115, 208, 333, 496, 703?
p**3 + p**2 + 23*p - 57
What is the z'th term of 19, 21, 11, -23, -93, -211?
-2*z**3 + 6*z**2 - 2*z + 17
What is the a'th term of 31, 138, 327, 604, 975, 1446, 2023?
a**3 + 35*a**2 - 5*a
What is the s'th term of -41, -69, -83, -77, -45, 19, 121?
s**3 + s**2 - 38*s - 5
What is the d'th term of 9, -28, -89, -174, -283?
-12*d**2 - d + 22
What is the s'th term of -62, -130, -190, -236, -262?
s**3 - 2*s**2 - 69*s + 8
What is the a'th term of 634, 1270, 1906, 2542, 3178?
636*a - 2
What is the c'th term of 5010, 5020, 5044, 5088, 5158, 5260?
c**3 + c**2 + 5008
What is the q'th term of 4242, 8486, 12730, 16974, 21218, 25462?
4244*q - 2
What is the c'th term of -137, -283, -427, -569?
c**2 - 149*c + 11
What is the n'th term of -671, -1354, -2037, -2720, -3403, -4086?
-683*n + 12
What is the m'th term of 198, 362, 526, 690, 854, 1018?
164*m + 34
What is the m'th term of -14, -35, -68, -107, -146, -179, -200?
m**3 - 12*m**2 + 8*m - 11
What is the j'th term of -11, -5, -7, -29, -83?
-2*j**3 + 8*j**2 - 4*j - 13
What is the p'th term of 10, 43, 100, 181?
12*p**2 - 3*p + 1
What is the a'th term of -66, -148, -244, -360, -502, -676, -888?
-a**3 - a**2 - 72*a + 8
What is the z'th term of 4, 8, 12, 16?
4*z
What is the k'th term of -86, -190, -318, -470, -646?
-12*k**2 - 68*k - 6
What is the w'th term of 1274, 2563, 3852?
1289*w - 15
What is the p'th term of 5, 32, 75, 128, 185?
-p**3 + 14*p**2 - 8*p
What is the y'th term of 421, 844, 1267, 1690, 2113, 2536?
423*y - 2
What is the b'th term of 20, 167, 420, 785, 1268?
b**3 + 47*b**2 - b - 27
What is the t'th term of -37, -2, 51, 122, 211?
9*t**2 + 8*t - 54
What is the b'th term of 174, 351, 530, 711?
b**2 + 174*b - 1
What is the d'th term of 209, 214, 221, 230?
d**2 + 2*d + 206
What is the q'th term of -9, -8, -3, 6, 19, 36?
2*q**2 - 5*q - 6
What is the g'th term of 138, 285, 434, 585, 738, 893?
g**2 + 144*g - 7
What is the k'th term of -233, -235, -237, -239, -241?
-2*k - 231
What is the b'th term of 40, 42, 46, 52, 60, 70?
b**2 - b + 40
What is the r'th term of 17, -11, -53, -115, -203?
-r**3 - r**2 - 18*r + 37
What is the c'th term of 6, 14, 26, 42, 62, 86, 114?
2*c**2 + 2*c + 2
What is the n'th term of -93, -310, -671, -1176, -1825, -2618, -3555?
-72*n**2 - n - 20
What is the q'th term of -13169, -13167, -13165, -13163?
2*q - 13171
What is the z'th term of 33, 120, 355, 810, 1557, 2668?
12*z**3 + 2*z**2 - 3*z + 22
What is the y'th term of 359, 695, 1031, 1367, 1703, 2039?
336*y + 23
What is the c'th term of -1759, -1763, -1769, -1777, -1787, -1799?
-c**2 - c - 1757
What is the v'th term of 644, 646, 650, 656, 664, 674, 686?
v**2 - v + 644
What is the f'th term of -71, -130, -221, -338, -475, -626?
f**3 - 22*f**2 - 50
What is the g'th term of 142, 271, 484, 781, 1162, 1627?
42*g**2 + 3*g + 97
What is the z'th term of 2940, 5880, 8820, 11760, 14700, 17640?
2940*z
What is the z'th | {
"pile_set_name": "DM Mathematics"
} |
r m(d).
2*(d - 4)*(d - 1)*(d + 1)
Let x(t) = 37*t + 300. Let u be x(-8). Let a(b) be the third derivative of -u*b**3 + 0*b + 0 - 1/320*b**6 + 5*b**2 - 3/40*b**5 - 3/4*b**4. Solve a(p) = 0 for p.
-4
Let m(j) = -8*j - 4. Let u be m(-2). Let d be (u/(-30))/(1/(-40)). Factor -16*g**5 - 14*g**4 + 6*g**5 - 4*g**2 - 4*g + 14*g**5 + d*g**3 + 2.
2*(g - 1)**4*(2*g + 1)
Let o(g) be the second derivative of g**5/50 + 23*g**4/30 + 43*g**3/15 + 21*g**2/5 - 39*g. Let o(l) = 0. Calculate l.
-21, -1
Let d be (1 + -1)/(11/22*-10 + 8). Factor d*f + 0 + 0*f**2 + 4/17*f**3 - 2/17*f**4.
-2*f**3*(f - 2)/17
Let h(a) be the second derivative of -a**8/2240 + a**7/140 - 4*a**5/5 - 5*a**4/6 - 34*a. Let o(u) be the third derivative of h(u). Find x, given that o(x) = 0.
-2, 4
Let y(p) be the first derivative of p**5 + 10*p**4 - 5*p**3 - 55*p**2 + 80*p + 477. Determine j so that y(j) = 0.
-8, -2, 1
Let d(s) = -5*s**3 + 163*s**2 - 157*s - 194. Let h(o) = -o**3 + 27*o**2 - 26*o - 32. Let u(c) = -6*d(c) + 39*h(c). Factor u(k).
-3*(k - 7)*(k - 2)*(3*k + 2)
Let c(r) = 7*r**2 + 33*r + 30. Let l(f) = -60 + 192*f - 15*f**2 + 210*f - 467*f. Let j(h) = 5*c(h) + 2*l(h). Find g such that j(g) = 0.
-6, -1
Let s be (-16)/72 + 80/36. Suppose -4*v = 3*v. Factor 0*a - 2*a**s - 5/2*a**4 + 1/2*a**5 + v + 4*a**3.
a**2*(a - 2)**2*(a - 1)/2
Let z(l) be the first derivative of l**4/4 + l**3 - 2*l**2 - 12*l - 60. Suppose z(t) = 0. Calculate t.
-3, -2, 2
Let v(l) be the first derivative of -3*l**5/20 - 9*l**4/2 - 59*l**3/2 + 117*l**2 - 507*l/4 - 176. Factor v(i).
-3*(i - 1)**2*(i + 13)**2/4
Let p = -35 - -29. Let o be ((-34)/p)/(2/12). Solve 6*a + o + 0*a**2 - 3*a**2 - 37 = 0.
1
Let k = -23 - -23. Suppose 2*m - 3*m + 2 = k. Factor 3/2*l**m + 0 + l + 1/2*l**3.
l*(l + 1)*(l + 2)/2
Factor -6 + 129*o**2 + 202*o + 8*o**2 - 69*o**2.
2*(o + 3)*(34*o - 1)
Suppose -o = 24 - 66. Let h = -40 + o. Suppose -1/3*s**h + 1/3 + 0*s = 0. Calculate s.
-1, 1
Let k be 10/35*(-1623)/(-6)*2. Let r = k + -154. Factor 32/7*p**3 + 0 + 2*p**4 + r*p + 22/7*p**2.
2*p*(p + 1)**2*(7*p + 2)/7
Let n(t) = 435*t**2 + 2100*t + 615. Let h(u) = 74*u + 16*u**2 + 15*u**2 + 4*u + 72*u + 44. Let d(k) = 55*h(k) - 4*n(k). Find x such that d(x) = 0.
-4, -2/7
Let f(g) be the third derivative of -g**5/30 + g**4/4 - 2*g**3/3 - g**2 + 6*g. Solve f(r) = 0.
1, 2
Factor -264*b**3 - 5130*b**2 - 8*b**4 + 4*b**4 + 264*b + 778*b**2 + 4356.
-4*(b - 1)*(b + 1)*(b + 33)**2
Let n(w) be the first derivative of w**6/6 + 11*w**5/5 - 25*w**4/4 + 13*w**3/3 - 74. Factor n(f).
f**2*(f - 1)**2*(f + 13)
Let d(k) = -k**4 - 3*k**3 + k**2 + k + 1. Let c(x) = 16*x**4 - 62*x**3 - 146*x**2 - 36*x + 29. Let m(i) = c(i) + d(i). Let m(n) = 0. What is n?
-1, 1/3, 6
Suppose 6*v = 7*v - 4. Let r(q) be the first derivative of 3/14*q**2 - 1/7*q**3 + v + 3/7*q - 3/28*q**4. Find n, given that r(n) = 0.
-1, 1
Let g(w) be the second derivative of -w**7/2940 - w**6/360 - w**5/210 + 5*w**4/6 - 9*w. Let z(k) be the third derivative of g(k). Suppose z(j) = 0. What is j?
-2, -1/3
Suppose -485*c**2 + 28 - 315 - 79*c**3 - 5*c**4 - 720*c - 33 - 11*c**3 = 0. What is c?
-8, -1
Let h(g) be the first derivative of g**4/36 - 4*g**3/27 + g**2/18 + 2*g/3 + 105. Solve h(i) = 0.
-1, 2, 3
Let t(w) = -30*w**4 - 2*w**3 + 136*w**2 + 32*w + 8. Let h(k) = -k**4 + 3*k**3 + k**2 + k + 1. Let f(l) = -8*h(l) + t(l). Let f(o) = 0. What is o?
-3, -2/11, 0, 2
Let y(k) be the first derivative of -k**6/15 + 16*k**5/25 - 2*k**4 + 32*k**3/15 + 35. Let y(h) = 0. What is h?
0, 2, 4
Let j(f) be the third derivative of -f**7/735 + f**6/35 - f**5/10 + 5*f**4/42 + 784*f**2. Let j(s) = 0. What is s?
0, 1, 10
Let j(g) be the third derivative of g**5/30 + 13*g**4 + 2028*g**3 + 132*g**2 - g. Factor j(f).
2*(f + 78)**2
Let -8*i**3 + 2185*i**2 - 2*i**3 - 2210*i**2 = 0. Calculate i.
-5/2, 0
Factor -2/13*s**3 + 0 + 2/13*s**2 + 4/13*s.
-2*s*(s - 2)*(s + 1)/13
Let v(u) be the second derivative of 0*u**2 - 1/4*u**4 + 0 + 1/2*u**3 - 29*u. What is m in v(m) = 0?
0, 1
Factor 115*n**2 + 4*n**3 - 147*n**2 - 4*n**4 + 20*n**3.
-4*n**2*(n - 4)*(n - 2)
Let c(t) = 10*t - 2*t**2 + 0*t**2 - 4*t - 5 + 3. Let l(f) = -3*f**2 + 6*f - 3. Let x(j) = -6*c(j) + 5*l(j). Solve x(h) = 0.
-1
Let w = 35 + -30. Suppose 5*q**2 + w*q**3 - 2309*q + 2309*q - 5*q**5 - 5*q**4 = 0. What is q?
-1, 0, 1
Determine h, given that 81/5*h**5 + 553/5*h**3 + 92/5*h - 358/5*h**2 - 72*h**4 - 8/5 = 0.
2/9, 1, 2
Factor 19*i**4 + 80*i**3 + 160*i**2 + 74 - 26 + i**4 + 16 + 160*i + 2*i**5.
2*(i + 2)**5
Let t(w) be the first derivative of 0*w**4 + 0*w**3 - 3/20*w**5 + 0*w + 10 + 0*w**2. Find q such that t(q) = 0.
0
Let p(u) be the first derivative of u**7/630 + u**6/90 + u**5/60 - 6*u**2 - 17. Let n(q) be the second derivative of p(q). What is a in n(a) = 0?
-3, -1, 0
Let w = 126/47 + -536/235. Factor w*y**2 + 10 + 4*y.
2*(y + 5)**2/5
Let m(g) be the first derivative of -g**6/120 + g**5/80 + g**4/24 - g - 13. Let o(x) be the first derivative of m(x). Factor o(u).
-u**2*(u - 2)*(u + 1)/4
Let v be (-26)/(-3*((-185)/(-45) + -4)). Let k = v - 76. Let 10 + 5/2*h**k + 10*h = 0. Calculate h.
-2
Let n(c) be the second derivative of 0 + 3*c**2 + 7/30*c**6 - 13/12*c**4 - 19/6*c**3 + 19/20*c**5 + 6*c. Determine l, given that n(l) = 0.
-3, -1, 2/7, 1
Factor -147*d + 211*d**3 - 216*d**3 + 1 - 1 - 60*d**2 - 33*d.
-5*d*(d + 6)**2
Let d = -3 + 7. Let s = 2/7807 + 1147619/39035. Factor 72/5*f**2 + 0 - 63/5*f**3 - s*f**d - 12/5*f.
-3*f*(f + 1)*(7*f - 2)**2/5
Suppose -8*b - 7 = -127. Let 2*y**3 - 7*y**3 + 9*y + 11*y - b*y**2 = 0. Calculate y.
-4, 0, 1
Let z be (4/50)/(7/350*10). Factor -4/5*m + 2/5*m**3 + 0 - z*m**2.
2*m*(m - 2)*(m + 1)/5
Let g(y) be the third derivative of -1/100*y**5 + 0 - 4*y**2 - 1/24*y**4 + 0*y - 1/15*y**3. Factor g(s).
-(s + 1)*(3*s + 2)/5
Factor 161 + 155 + 153 + 50*p + 5*p**2 - 389.
5*(p + 2)*(p + 8)
Let w be 5/3 + 4/12. Suppose a**4 + 2*a**3 + 0*a**4 - w*a**3 + 3*a**3 - 2 + a**2 - 3*a = 0. What is a?
-2, -1, 1
Let v(c) = -c**3 + 4*c**2 + 6*c - 3. Let l be v(5). Suppose 17 = l*g + 11. Solve 8/13 - 16/13*i - 4/13*i**g - 42/13*i**2 + 14/13*i**4 = 0 for i.
-1, 2/7, 2
Let q(d) be the third derivative of -d**6/40 - 19*d**5/5 - 73*d**4/8 + 75*d**3 - 657*d**2. Factor q(g).
-3*(g - 1)*(g + 2)*(g + 75)
Factor 12 + 105*x**3 + x**2 - 24*x - 4*x**2 - 99*x**3.
3*(x - 2)*(x + 2)*(2*x - 1)
Let y = 5 + -18. Let b = y + 15. Factor -3*o**b + 1 + 3 + 0 - o**2.
-4*(o - 1)*(o + 1)
Let r(k) = -4*k**2 + 4*k + 8. Let g(s) = 2*s**2 - 2*s - 4. Let o(z) = 14*g(z) + 6*r(z). Determine v, given that o(v) = 0.
-1, 2
Let a = 1 + 4. Suppose 17 = 5*i - 4*i + a*g, -12 = -4*g. Factor 0 + 1/3*q + 5/6*q**i.
q*(5*q + 2)/6
Factor 3 - 106*p + 2809/3*p**2.
(53*p - 3)**2/3
Let a be (-33)/(-4) + 3/(-12). Let z be (-4)/a*-10*1. Factor 2/7*v**3 + 0*v + 0*v**4 + 0*v**2 + 0 - 2/7*v**z.
-2*v**3*(v - 1)*(v + 1)/7
Let n(g) = -g - 9. Let i be n(-5). Let x be i/(-14)*(-280)/(-50). Factor 2/5*c**2 + 6/5 - x*c.
2*(c - 3)*(c - 1)/5
Let q = -331 - -338. Let n(z) be the first derivative of 3/5*z + 0*z**4 - q - 2/5*z**3 + 0*z**2 + 3/25*z**5. Factor n(p).
3*(p - 1)**2*(p + 1)**2/5
Let m(i) be the first derivative of -1/3*i**3 + 1/10*i**5 + 1/4*i**4 - 1/12*i**6 - 1/4*i**2 - 5 + 1/2*i. Factor m(l).
-(l - 1)**3*(l + 1)**2/2
Suppose x + 0*x + 3*v + 10 = 0, 0 = 3*x - 5*v - 26. Find h, given that -3*h - h + 3*h**2 - 7*h**x = 0.
-1, 0
Let s(d) be the first derivative of d**7/280 - d**6/40 + 3*d**5/40 - d**4/8 - d**3 - 27. Let p(n) be the third derivative of s(n). Factor p(o).
3*(o - 1)**3
Suppose 0 = -7*r - 0 - 7. Let m(u) = u**3 + u**2 - u + 1. Let j(y) = -6*y**3 - 34*y**2 - 146*y - 254. Let w(n) = r*j(n) - 4*m(n). Factor w(f).
2*(f + 5)**3
Let v be (52/39)/((-1)/9*-2). Suppose -v*z + 10 = -z. Determine u so that -6/11*u**z + 8/11*u**3 - 8/11*u - 2/11 + 8/11*u**4 = 0.
-1, -1/2, 1
Let a be (-2)/(-3) + 0 - (88 - 88). Solve -2/3*p + a*p**5 + 0*p**3 - 4/3*p**2 + 4/3*p**4 + 0 = 0 for p.
-1, 0, 1
Find j, given that -2*j - 20*j**2 + 7*j**3 + 51*j**2 - 21*j**2 - 15*j**2 = 0.
-2/7, 0, 1
Suppose 0 = -4*z + 5*c - 3 - 10, -4*c + 20 = 0. Determine j so that j**4 - 19 + j**2 - z*j - 23 + 3*j**3 + 40 = 0.
-2, -1, 1
Let q(s) be the second derivative of -2*s**6/75 + 7*s**5/25 - 6*s**4/5 + 8*s**3/3 - 16*s**2/5 + 132*s. Factor q(a).
-4*(a - 2)**3*(a - 1)/ | {
"pile_set_name": "DM Mathematics"
} |
ivided by 24?
22
Calculate the remainder when 17574 is divided by 2348.
1138
What is the remainder when 1038408 is divided by 38459?
15
What is the remainder when 1832522 is divided by 72?
50
What is the remainder when 4428149 is divided by 5155?
4
Calculate the remainder when 138545 is divided by 69243.
59
What is the remainder when 162403442 is divided by 298?
296
What is the remainder when 405664 is divided by 1610?
1554
What is the remainder when 1496914 is divided by 425?
64
Calculate the remainder when 94145481 is divided by 291.
288
Calculate the remainder when 85667787 is divided by 390.
387
What is the remainder when 980110 is divided by 26489?
17
Calculate the remainder when 40186377 is divided by 7375.
2
What is the remainder when 7238 is divided by 7212?
26
What is the remainder when 6621924 is divided by 827739?
12
What is the remainder when 1208533 is divided by 217?
60
Calculate the remainder when 7906949 is divided by 27.
26
What is the remainder when 51014930 is divided by 333?
329
What is the remainder when 127867 is divided by 2998?
1951
Calculate the remainder when 2934796 is divided by 366847.
20
What is the remainder when 135180 is divided by 33430?
1460
What is the remainder when 38733 is divided by 868?
541
Calculate the remainder when 575542 is divided by 143718.
670
What is the remainder when 1169103 is divided by 1563?
1542
What is the remainder when 68836 is divided by 298?
296
What is the remainder when 72186779 is divided by 605?
599
Calculate the remainder when 133301327 is divided by 133301324.
3
What is the remainder when 4119294 is divided by 162?
120
What is the remainder when 1627242 is divided by 901?
36
Calculate the remainder when 52603 is divided by 10175.
1728
What is the remainder when 70645536 is divided by 1811424?
0
Calculate the remainder when 15776 is divided by 3750.
776
What is the remainder when 651816 is divided by 24141?
9
Calculate the remainder when 39472 is divided by 39366.
106
What is the remainder when 3911046 is divided by 17?
9
Calculate the remainder when 818941 is divided by 33.
13
Calculate the remainder when 26919014 is divided by 203.
199
Calculate the remainder when 6726 is divided by 2631.
1464
Calculate the remainder when 66276042 is divided by 1406.
14
What is the remainder when 21842166 is divided by 1092108?
6
What is the remainder when 3251651 is divided by 432?
419
What is the remainder when 18220989 is divided by 1221?
6
What is the remainder when 2590252 is divided by 89?
85
Calculate the remainder when 55814638 is divided by 6976829.
6
What is the remainder when 627676 is divided by 627612?
64
What is the remainder when 25463241 is divided by 51?
12
Calculate the remainder when 463372 is divided by 1065.
97
Calculate the remainder when 1233224368 is divided by 5095.
5093
What is the remainder when 2703470 is divided by 30376?
6
Calculate the remainder when 3446725 is divided by 2422.
219
What is the remainder when 36490 is divided by 204?
178
What is the remainder when 545855 is divided by 181881?
212
What is the remainder when 1032881 is divided by 4357?
272
What is the remainder when 15204022 is divided by 72?
70
Calculate the remainder when 14840832 is divided by 27534.
6
Calculate the remainder when 2677535 is divided by 1785.
35
What is the remainder when 889925 is divided by 177?
146
What is the remainder when 209202334 is divided by 144?
142
What is the remainder when 38194369 is divided by 141?
7
Calculate the remainder when 512516 is divided by 11.
4
Calculate the remainder when 25602573 is divided by 419.
416
What is the remainder when 80939445 is divided by 997?
991
Calculate the remainder when 2859127 is divided by 155.
152
What is the remainder when 11075 is divided by 203?
113
What is the remainder when 108556 is divided by 15?
1
Calculate the remainder when 26009 is divided by 8194.
1427
Calculate the remainder when 99409980 is divided by 2686756.
8
What is the remainder when 3131988 is divided by 12?
0
What is the remainder when 24319 is divided by 384?
127
What is the remainder when 977063 is divided by 195408?
23
Calculate the remainder when 43924328 is divided by 33.
8
What is the remainder when 1429824 is divided by 4062?
0
What is the remainder when 1607860 is divided by 21?
16
Calculate the remainder when 55031 is divided by 6475.
3231
Calculate the remainder when 336193 is divided by 83718.
1321
What is the remainder when 567849 is divided by 1868?
1845
What is the remainder when 2615318 is divided by 326914?
6
Calculate the remainder when 719120 is divided by 354678.
9764
What is the remainder when 54501 is divided by 617?
205
What is the remainder when 1418399 is divided by 283668?
59
What is the remainder when 407464 is divided by 135382?
1318
Calculate the remainder when 1102303 is divided by 22951.
655
Calculate the remainder when 3597272 is divided by 218.
54
Calculate the remainder when 865390 is divided by 57651.
625
Calculate the remainder when 1076727 is divided by 42.
15
What is the remainder when 10616567 is divided by 387?
383
Calculate the remainder when 18560 is divided by 1028.
56
Calculate the remainder when 26021 is divided by 1892.
1425
Calculate the remainder when 1270717 is divided by 366.
331
Calculate the remainder when 262623967 is divided by 70.
67
Calculate the remainder when 540129 is divided by 114.
111
What is the remainder when 7555442 is divided by 34?
30
What is the remainder when 1180367 is divided by 103?
90
Calculate the remainder when 1572888 is divided by 20789.
13713
What is the remainder when 11523 is divided by 249?
69
What is the remainder when 23007927 is divided by 51?
42
What is the remainder when 23730 is divided by 383?
367
What is the remainder when 148757 is divided by 1054?
143
What is the remainder when 2207097 is divided by 184?
17
Calculate the remainder when 323205 is divided by 555.
195
Calculate the remainder when 191256 is divided by 12720.
456
Calculate the remainder when 16666 is divided by 5547.
25
Calculate the remainder when 24104405 is divided by 10600.
5
What is the remainder when 2410332 is divided by 126859?
11
Calculate the remainder when 340553 is divided by 2743.
421
What is the remainder when 1009587 is divided by 252394?
11
Calculate the remainder when 139425 is divided by 173.
160
What is the remainder when 14837289 is divided by 252?
33
Calculate the remainder when 52352 is divided by 17316.
404
What is the remainder when 56299856 is divided by 207?
203
What is the remainder when 2243037 is divided by 462?
27
What is the remainder when 5486574 is divided by 3008?
2990
What is the remainder when 237115888 is divided by 18?
16
What is the remainder when 1399525 is divided by 194?
9
Calculate the remainder when 122981 is divided by 60965.
1051
Calculate the remainder when 21365963 is divided by 109010.
3
What is the remainder when 108558 is divided by 37?
0
What is the remainder when 140138335 is divided by 17517291?
7
What is the remainder when 12498948 is divided by 1801?
8
What is the remainder when 487023 is divided by 29?
26
What is the remainder when 1482201 is divided by 92637?
9
Calculate the remainder when 526497 is divided by 37606.
13
Calculate the remainder when 345251 is divided by 1887.
1817
Calculate the remainder when 779870 is divided by 18135.
65
Calculate the remainder when 410900 is divided by 13652.
1340
Calculate the remainder when 488771 is divided by 438.
401
Calculate the remainder when 210817 is divided by 105316.
185
What is the remainder when 33319 is divided by 6531?
664
Calculate the remainder when 192965 is divided by 63.
59
Calculate the remainder when 12352673 is divided by 847.
25
What is the remainder when 255744 is divided by 862?
592
What is the remainder when 2077015 is divided by 37?
20
Calculate the remainder when 2441147 is divided by 1045.
27
What is the remainder when 93671464 is divided by 24?
16
What is the remainder when 264519 is divided by 1632?
135
What is the remainder when 107710 is divided by 26921?
26
Calculate the remainder when 573341 is divided by 14300.
1341
What is the remainder when 303772639 is divided by 2636?
2635
Calculate the remainder when 1066776 is divided by 755.
716
What is the remainder when 261182 is div | {
"pile_set_name": "DM Mathematics"
} |
n*(n**0/n)/n*n*n)**(-21/4)*(n/(n*n/n**0))**47*(n**(-1/2)*n/n**(2/5)*n)**42 assuming n is positive.
n**(-121/20)
Simplify r/((r**(7/6)/r)/r)*r**(-16/7)*r*r*((r**(-27)*r*r*r)/r*r*r)/r*r*r**20 assuming r is positive.
r**(-61/42)
Simplify ((r**(-1/5))**(-4/7)/(r**(2/15)*r*r*r*r*r**(6/7)/r*r*r*r))**46 assuming r is positive.
r**(-33212/105)
Simplify (o**5/(o*o**(-1)/o))**(4/25)*((o**(-1))**(2/3))**(6/13) assuming o is positive.
o**(212/325)
Simplify ((l**(1/2))**(2/29)*l**7/(l*l/l**(2/11)))/(l**(-1/10)/(l/((l**8/l*l)/l))*l**(-8)*l**0) assuming l is positive.
l**(23339/3190)
Simplify s*s**(-2)*(s/(s**(-2/7)/s*s))/s*(s/(s*s*s**(-2/3)))**(2/11)*(s**(-1/7)/s)/(s/s**(1/2))*(s**(-2/7))**(-1/10) assuming s is positive.
s**(-5519/2310)
Simplify (i**(-28)*i)**25/(i**(-1))**18 assuming i is positive.
i**(-657)
Simplify (((z*z**(-1/3))/(((z*((z*z/(z**(-3/5)/z))/z)/z)/z)/z))/(z**(-2/7)/(z**(-1/2)/z)))/((z**(-1))**(-3/17)*(z*z**5)/(z**(6/5)*z*z)) assuming z is positive.
z**(-14723/3570)
Simplify (((l**(-27)/l)/l)/l**(-1/7)*l**25*l**(-2/17))**(2/85) assuming l is positive.
l**(-946/10115)
Simplify (((((f/((f/(f*f*f**9)*f)/f*f*f*f))/f*f)/f)/f*f)/f**(-5))**17*f**(-2/3)/f**3*(f**1*f)**(-2/55) assuming f is positive.
f**(33043/165)
Simplify (((u*(u**(-2)*u)/u)/u)**(1/16)/(u*u*u*u**(4/5))**16)**40 assuming u is positive.
u**(-2437)
Simplify (f**(-1/26))**39/(f**(-2/195))**(-21) assuming f is positive.
f**(-223/130)
Simplify ((v*(v*v**(1/21))/v)/v**(-8))/(v**(23/4)*v*v*v**(-46)) assuming v is positive.
v**(3973/84)
Simplify ((q**5/q)/(q**8/q))**(-13)*(q/((q/((q**(-1)*q)/q))/q))**(-8)/(q**(-1/2)/(q**0*q)) assuming q is positive.
q**(81/2)
Simplify (x*x**(-20)*x**(-1/21)*(x**9*x)/(x/((x/(x/x**(-14)))/x)))**(15/8) assuming x is positive.
x**(-1315/28)
Simplify (n**0/n)**28/(n**(-1))**(4/11)*((n*n*n**0*n*n)/n**(-1/12))/(n*n**(-2/9))**(4/33) assuming n is positive.
n**(-28093/1188)
Simplify (((z**30*(z*z*z**(-10/7)*z)/z)**(-1/55))**(1/30))**(-2/117) assuming z is positive.
z**(214/675675)
Simplify ((r/r**(-7))**(-6)/(((r/r**(-4/5))/r)/r*r/(r*r*r/r**11)*r))**46 assuming r is positive.
r**(-13294/5)
Simplify (g**(2/35)/g)**4/(g/(g*(g**(15/7)/g)/g))**9 assuming g is positive.
g**(-87/35)
Simplify ((l**(-1/3)*(l/(l**(-1/17)/l)*l)/l*(l*l/(l**(-2/29)/l)*l)/(l**(5/2)/l))**28)**(-20) assuming l is positive.
l**(-3556840/1479)
Simplify (a/((((a*(a/a**(-1/4)*a)/a)/a*a)/a)/a)*(a*a**(-1/4))/a)/(a**3/(a/(a/a**(2/7))))*(((a/a**(-2))/a)**(-3/13))**43 assuming a is positive.
a**(-4015/182)
Simplify ((a*a*a**(-33)*a**(-1/24))/(a**(-29)*a*a**(-2/25)))**36 assuming a is positive.
a**(-5331/50)
Simplify (((j*j*j*j*j**1)**13*(j*j/j**(1/4)*j)**(-20/7))**12)**(-4) assuming j is positive.
j**(-19200/7)
Simplify (((d**(-2/9))**(1/32)*d**(-7)/d**1)**(1/24))**(8/11) assuming d is positive.
d**(-1153/4752)
Simplify (c**(15/7)*c**(-1/4)*(c*c/c**(-17)*c)**(9/5))**(-19) assuming c is positive.
c**(-20159/28)
Simplify (((r/(r*r*r/((r*r*r**(-8)*r)/r)))/(r/r**(-2/5)*r)*r**1*r**(-2/3)*r*r)**(-2/15))**(-4/9) assuming r is positive.
r**(-968/2025)
Simplify ((c*c*c/(c*c/((c*c/(c/(c/(c*c*c**7))*c)*c)/c))*c)**(-3/38)/(c**(2/9)*c*c**(-24)*c))**(-7) assuming c is positive.
c**(-26635/171)
Simplify ((r**0)**37)**(-10/3)*(r**(-2/11)*r*(r/(((r**(-3/5)*r)/r)/r))/r)/(r**2*r*r*r)**29 assuming r is positive.
r**(-7842/55)
Simplify (((i**9*i)/i**(-27/2))/(i**2)**(-42))**(3/26) assuming i is positive.
i**(645/52)
Simplify (w**2/(w*(w*w**(2/35)*w)/w*w*w))**(2/3)/((w**(-1/3))**(-7/6)/(w*w*w**(1/11)*w/(w*w/w**(-1/2)))) assuming w is positive.
w**(-4052/3465)
Simplify (((g/g**(3/2))/((g**3*g*g)/g))/(g**7*g**(-2/3)))/((g/g**(-2)*g**(3/4))/(g**(3/7)/g**7)) assuming g is positive.
g**(-1777/84)
Simplify (((p**(-2/5)/p)/(p*p**(-4/9)*p*p))/(p/p**1*p)**(-2/73))/(((p**(2/3)/p)/(p/(p**(-2/7)/p)))/(p**(3/11)/(p**(1/7)/p*p*p))) assuming p is positive.
p**(-551228/252945)
Simplify ((p**(1/5)/p)**(-6/11)*((p*p**(-2)*p)/p)/p*p/(p*p/p**13))**(-6/25) assuming p is positive.
p**(-3444/1375)
Simplify (((d**2)**(7/10)*d**16/(d**4*d))**(-13/6))**39 assuming d is positive.
d**(-5239/5)
Simplify (c*c*c**(-8/11)*c*(c/(c*c**(-12/5)))/c*((c*c**19)/c)/(c*c/c**(4/11)))**(7/9) assuming c is positive.
c**(8099/495)
Simplify ((s/s**1)/s*s*s**(-8)*(s/s**(-1))/s*s/(s*s/(s**8*s)))/((s**(2/3)*s*s*s*s**5)/(s**(2/5)/(s/(s*s**2*s)))) assuming s is positive.
s**(-64/15)
Simplify ((o/(o/o**(-1/51)))/o*(o/((o*o*o/(o**1/o))/o))/o*(((o**(3/4)*o)/o)/o)/(o*o**(-7/5)))**(-1/7) assuming o is positive.
o**(2927/7140)
Simplify (z/z**34*z**(1/28)*z**42*z*z**(-3/4)/z)**44 assuming z is positive.
z**(2552/7)
Simplify (((w**(-1/2)/w)**(-3/14)/(w**(-8/7)/(w/w**(-2))))**(2/27))**(-8/9) assuming w is positive.
w**(-500/1701)
Simplify ((j**1)**(-3/4))**(-3/7)*(j**(-3/4)/(j*j*(j/j**(2/25))/j))**(-10) assuming j is positive.
j**(3783/140)
Simplify ((d*d**(-9)*d*(d/d**(6/11))/d*(d*d**10)/d*d*d**(-1))**(-9))**(2/3) assuming d is positive.
d**(-162/11)
Simplify ((l*l**(1/7)/l)/(l/(l/l**5)))**(11/7)*(l/l**(-11)*l**11)**48 assuming l is positive.
l**(53722/49)
Simplify ((l**(-2/7))**(10/9)/(l**2*l/l**(-7)))/(((l*l/l**0)/l*l)**(-1/2)/((l*(l**(1/4)/l)/l)/l)**(-2/23)) assuming l is positive.
l**(-26561/2898)
Simplify (c*c/(c*(c**17*c)/c*c))/(c/(c/c**10))*c**27/(c/(c/(c*c**6))) assuming c is positive.
c**(-7)
Simplify (j**(1/2))**(-25/3)/(j**1)**40*(j**(-2/5)*j*(j/(j/(j/(j**(-5)*j)))*j*j*j)/j)/(j**1/j)**(8/5) assuming j is positive.
j**(-1097/30)
Simplify (u**16*u**(-11)*u/u**(-19/3)*u**(-23/2)/u)**(4/7) assuming u is positive.
u**(-2/21)
Simplify (c**6/(c/(c**(2/3)/c)*c)*(c**(-1/3))**(1/24))/(((c**(-1)/c)/c)/c**(-3)*(((c/c**(4/9)*c)/c*c)/c*c)/(c**(-2/5)*c)) assuming c is positive.
c**(971/360)
Simplify (s/(s*s**(-2/5)/s))**8*s**(-1)*(s*s*s*s**(-2)/s)/s*s*((s*(s*s*s**(-1/3)*s)/s)/(s**(-4/3)*s))**(-2/31) assuming s is positive.
s**(1551/155)
Simplify (c**23/((c*c/(c/(c*c**(-1))*c)*c)/c))/(c**(-6/11)*c)**(-28/5) assuming c is positive.
c**(281/11)
Simplify ((z*z**(-2)/z*z**(-6/23)*z)/(z**(-4/9))**(2/7))**(1/11) assuming z is positive.
z**(-1643/15939)
Simplify (o/o**(-1/14)*o*o*o/((o*o**5)/o)*o)**(-29/3)/(((o**(-5)*o)/o**(-3))/(o*o/(o/o**(-2/3)*o))**26) assuming o is positive.
o**(-715/42)
Simplify ((m*m*m**(-4/3))/(m*m*m**2*m))/(m**1/(m*(m**(-2)*m*m)/m*m))*((m**(-1/6)/m*m)/m)/(m/(m**(-1/8)*m))*(m**1)**(-14) assuming m is positive.
m**(-157/8)
Simplify ((a/(a/a**(-11)*a))**(-28)/((a*a*a/(((a*(a/a**(-3/11))/a*a)/a)/a*a)*a*a)/(a**(-1/35)*a)))**(-28) assuming a is positive.
a**(-513196/55)
Simplify (x**(-2/7))**37*(x**1/x)**(16/3)*((x*x**(2/7)/x*x*x)**44)**(2/79) assuming x is positive.
x**(-634/79)
Simplify (((k*k**(-1/18)*k*k*k*k)/(k**(-4)*k))/(k/(k**(6/13)/k*k))**(-40))**(35/6) assuming k is positive.
k**(241465/1404)
Simplify ((p*p*p**(-2)*p)**(-1/18)*(p**(-6))**(-29))**(-2/5) assuming p is positive.
p**(-3131/45)
Simplify (((p*p**(4/7))/p*p*p*p*p/(p/((p/(p/((p/p**(-4/3))/p)))/p))*p*p*(p**(-1/2))**(-49))**(-2/7))**(-2/13) assuming p is positive.
p**(2554/1911)
Simplify ((h**(-1/21))**(-1)*h**7/h**(-3/14))**33 assuming h is positive.
h**(3355/14)
Simplify ((t*t**(-4/5)/t*t*t)**(2/75))**38/((t**(-4/9)/(t/t**(-7)))/(t/(t*t/(t/(t*t/(t/t**0)*t*t))))**38) assuming t is positive.
t**(-117382/1125)
Simplify ((z/z**(2/7))/z**(2/19)*((z**(-2)/z*z)/z)/z**(4/5))/(((z**(-6)*z)/((z*((z*z/(z*z**(-1/2))*z)/z)/z)/z))/(z**(-2/5))**9) assuming z is positive.
z**(-1717/1330)
Simplify (((o/((((o/((o**15*o)/o))/o)/o*o)/o))/o)/(o*(o**8*o)/o)*o**(-14)*o/(o*o*o*o*o/o**(2/27)*o*o))**(-1) assuming o is positive.
o**(349/27)
Simplify (i*i**(-2/3)*i*i)**(1/8)/((i*i**(-3))/i**(-7))*i**7/i**(-2)*(i*i/(i*i**1))**4 assuming i is positive.
i**(103/24)
Simplify ((n*n**(1/44))/n**(-23))/(n/(n*n/(n/n**17))*n**(-18/5)) assuming n is positive.
n**(9817/220)
Simplify ((d**(-3/2)/(d*d/(d**(-2/17)/d)))/(d*(d*d*d**(-1)*d)/d*d*d*d*d*d**(2/11)))/((d**2)**16)**(-2/9) assuming d is positive.
d**(-12415/3366)
Simplify ((o**(4/9))**(-22)*(o**(3/10))**20)**(-5) assuming o is positive.
o**(170/9)
Simplify w**(-1/2)*(w/(w*w*w**1/w))/w*((w*w**(-2)*w*w*w*w)/w)**(-48)*w**(3/4)*w*((w/(w**(-7)/w))/w)/w*((w**(-2/3)/w)/w)**(-4) assuming w is positive.
w**(-949/12)
Simplify (a**(1/3)/((a*a**29*a*a)/a)*(a*a**(-14)/a)**17)**(13/3) assuming a is pos | {
"pile_set_name": "DM Mathematics"
} |
(2 + -1)*5/(25/1345) is divided by i.
13
Suppose 0 = -8*o + 93 - 29. Suppose -3*t = -5*c + 63 + 62, -2*c + 39 = t. What is the remainder when c is divided by o?
6
Suppose 0 = -z - 2 - 31. Let o = z + 43. What is the remainder when o is divided by 4?
2
Suppose 4*j = -0*j + 44. Let a(o) = o**3 - 9*o**2 - 16*o + 12. Calculate the remainder when a(j) is divided by 20.
18
Calculate the remainder when 29 is divided by 28 + (-1)/2*10.
6
Suppose 2*t + d - 64 = 279, 0 = 2*t + 3*d - 349. What is the remainder when t is divided by 8?
2
Suppose 20*k - 21*k - 2 = 0. Let p(g) = -7*g - 8. Calculate the remainder when 16 is divided by p(k).
4
Let b(x) = x + 78. What is the remainder when 284 is divided by b(-21)?
56
Let g = 34 - 18. Suppose 38*s - 43*s = -35. Suppose -3*d + s = m - 14, 4*m - d - 110 = 0. Calculate the remainder when m is divided by g.
11
Suppose x = 3*q - 2*x + 3, 3*x = 5*q - 1. Suppose 4 + 80 = q*t. What is the remainder when t is divided by 23?
19
Suppose -3*o + a = -81, 0*a - 5*a - 15 = 0. Suppose x + 29 - 77 = -5*t, 5*t + 3*x - 54 = 0. Calculate the remainder when o is divided by t.
8
Let s(o) = o**2 + 57*o - 201. Calculate the remainder when 254 is divided by s(-61).
39
Let z(n) = -n**2 - 16*n + 38. Let u(t) = t**2 - 3*t - 16. Let l be u(0). Calculate the remainder when 186 is divided by z(l).
34
Let x(s) be the first derivative of -s**4/2 + 13*s**3/3 + 8*s**2 - 9*s + 4. Calculate the remainder when 104 is divided by x(7).
50
Suppose -3*f + 37 = t - 0*f, -176 = -3*t + 4*f. Calculate the remainder when 152 is divided by t.
48
Let x = 7 - -31. Let v = 2 + x. Calculate the remainder when v is divided by 22.
18
Suppose 2*y - 3*h - 9 = -0, 3 = -3*h. Let w = 14 + -21. Let x = y - w. What is the remainder when 29 is divided by x?
9
Suppose 305 = -0*j + 3*j - 5*d, 3*j + 2*d = 298. Let q = -26 + j. Suppose -q = -4*z + 58. What is the remainder when z is divided by 9?
6
Calculate the remainder when 88 is divided by (-3)/9 - 820/(-30).
7
Suppose -3*y + 12 = -f - 3*f, -3*y + 39 = 5*f. Let k(w) = w**2 - 7*w - 6. Let t be k(y). Suppose t*o = o + 19. Calculate the remainder when 54 is divided by o.
16
Suppose -4*b - 855 = -3*a, -b - 2*b + 1425 = 5*a. Let i = a + -178. Let v = -60 + i. Calculate the remainder when v is divided by 12.
11
Suppose 95 = 5*v - 21*n + 23*n, 5*v = 4*n + 65. Calculate the remainder when 58 is divided by v.
7
Let c = 10 - 10. Suppose 5*i = -m + 140, c = -2*i + 3*i + m - 24. Let b = 5 - -10. Calculate the remainder when i is divided by b.
14
Let a(n) = -n**3 - 5*n**2 + 9*n - 9. Calculate the remainder when a(-7) is divided by (-2 - -7) + (2 + 4 - 1).
6
Let h(a) = -a**3 - 14*a**2 - 32*a + 5. Calculate the remainder when h(-12) is divided by 56.
45
Let k = 7 - -8. Let u = 52 + -8. Calculate the remainder when 2 + (-2 - 0) + u is divided by k.
14
Let a(n) = -n**3 - 38*n**2 + 5*n + 219. Calculate the remainder when 136 is divided by a(-38).
20
Suppose 3*n = 14*a - 16*a + 324, -3*n + 327 = 3*a. Calculate the remainder when n is divided by 26.
2
Suppose -3*w + 3*g + 6 = -0, 16 = 4*w - 2*g. Calculate the remainder when (((-273)/12)/(-7))/(1/16) is divided by w/((-24)/(-9) - 2).
7
Suppose 0 = 3*c + 4*d - 10, 3*c - 5*d + 0*d = 1. Suppose 2 = 4*y - 14, -5*y = -c*r + 106. Calculate the remainder when r is divided by 22.
19
Let j = -462 - -473. What is the remainder when 64 is divided by j?
9
Let b(t) = t**3 - 12*t**2 + 2*t - 11. Let j be b(12). Suppose 5*o + 2 = -j. What is the remainder when 14*(0 - o/3) is divided by 4?
2
Let h(r) = -r**3 - 5*r**2 + 6*r - 18. Calculate the remainder when h(-7) is divided by 9.
2
Let m be (-2)/(-9) + (-70)/(-9). Let w(h) = h - 4. Calculate the remainder when 5 is divided by w(m).
1
Let x = -5 - 67. Suppose -9 = 3*p - 5*h + 5, -2*p - 3*h = 3. Calculate the remainder when (p/6)/(2/x) is divided by 7.
4
Let n(l) = 6*l + 608. Let f be n(0). Calculate the remainder when (0 + (0 - -1))/(19/f) is divided by 17.
15
Let n(z) be the second derivative of -z**5/20 - z**4/6 + z**3/2 - 5*z**2/2 - 2*z. What is the remainder when -1*(0 + 57/(-1)) is divided by n(-4)?
12
Let p = 1562 - 318. What is the remainder when p is divided by 29?
26
Let i(p) = -2*p + 6. Suppose -4*n - f + 18 = 0, -n + 4*n - 20 = -4*f. Let g be i(n). Calculate the remainder when 9 - -5 - (g + 5) is divided by 6.
5
Suppose 0 = 5*i - 25, 2*j + 54 = 6*j - 2*i. Calculate the remainder when 22/187 + 1828/68 is divided by j.
11
Let n(l) = 6*l - 6. Suppose -44*t - 171*t + 4464 = -18541. Calculate the remainder when t is divided by n(4).
17
Suppose -4*t = f + f - 130, -f - 3*t = -68. Let u(g) = -3*g**3 - 12*g**2 - 22*g - 5. Calculate the remainder when f is divided by u(-2).
14
Suppose m - 128 - 31 = -3*g, 2*m = 5*g - 254. Calculate the remainder when 103 is divided by g.
51
Let v(a) = -2*a**2 - 38*a + 19. Calculate the remainder when 284 is divided by v(-19).
18
Let c(g) = 19*g**2 - 130*g - 8. Calculate the remainder when 267 is divided by c(7).
7
Suppose 0 = 8*h + 48 + 16. Let x(p) = -p**2 - 12*p - 20. What is the remainder when 33 is divided by x(h)?
9
Let k = -75 - -72. Let p = 0 - -22. Calculate the remainder when p is divided by -6*3/(k/2).
10
Let l(o) = -o**3 - 5*o**2 + 10*o + 11. Calculate the remainder when 307 is divided by l(-7).
34
Suppose 275 = 56*x - 51*x. What is the remainder when 76 is divided by x?
21
What is the remainder when 43 is divided by (-1)/5*1265/(-23)?
10
Let u(m) = -5*m**2 - 19*m - 6. Let r(x) = -11*x**2 - 39*x - 12. Let v(w) = -6*r(w) + 13*u(w). What is the remainder when 13 is divided by v(14)?
5
Let y be ((-6)/7)/((-2)/28). Calculate the remainder when 62 is divided by y/(-8) + (-94)/(-4)*1.
18
Let s(l) = 4*l - 44. What is the remainder when 174 is divided by s(16)?
14
Let t be (-4)/(-14) + 2493/21. Suppose -q = 5*j - t, -93 = -4*j + q - 4*q. Let y(z) = 2*z**2 - 4*z + 5. What is the remainder when j is divided by y(2)?
4
Let r(s) = s**3 - 4*s**2 - s + 7. Suppose 3*j - 10 = 2. Calculate the remainder when (-6)/(-2) + 5 + -2 is divided by r(j).
0
Let l = 3 + 5. Suppose -2 = -u + l. Calculate the remainder when u is divided by 5.
0
Let n = 1402 + -780. What is the remainder when n is divided by 156?
154
Let a(u) = -3*u**3 + 2*u - 6. Let o be a(3). What is the remainder when 86 is divided by -2 + o/(-3) + -3?
20
Suppose 0 = -n + 6*n + 2*o - 57, 3*o - 53 = -5*n. Let a(v) = -2*v + 4. Calculate the remainder when a(-10) is divided by n.
11
Let d = -634 - -959. Calculate the remainder when d is divided by 55.
50
Let d be (-19)/76 + (-38)/8. What is the remainder when (-1067)/d + 4/(-10) is divided by 36?
33
Suppose -37 = q - 401. Suppose -2*a + 4*n + 189 - 33 = 0, -3*n = 5*a - q. What is the remainder when a is divided by 38?
36
Suppose 2*z + 83 = -v, -3*z = -4*z - 3*v - 34. Let n = 55 + z. Calculate the remainder when n is divided by 5.
2
Let k(g) = -g**3 - 18*g**2 - 24*g + 21. Let q be k(-17). Let u = q + -52. Calculate the remainder when u is divided by 45.
43
Suppose -24 = -3*a + 3*o, 4*o = -a + o - 8. Suppose -g + 0*g + 33 = -3*x, a*g + x - 93 = 0. What is the remainder when 92 is divided by g?
20
Let x = -146 - -166. What is the remainder when 157 is divided by x?
17
Suppose i - 2*u - 221 = 0, -3*u + 532 = 5*i - 547. Suppose 0 = -6*s + i + 113. What is the remainder when s is divided by 7?
6
Let i = -4 - -11. Calculate the remainder when (95/(-10))/(4/(-8)) is divided by i.
5
Suppose -112 = -5*l + 3*l + 2*m, 184 = 4*l + 4*m. Let q = 52 - l. Calculate the remainder when 2 is divided by q.
0
Suppose -2*i - 4*f = 0, -3*f - 33 = 5*i - 4*f. Let g be i/30 + (-1)/(-5). Suppose g = -3*k - k + 68. Calculate the remainder when k is divided by 5.
2
Calculate the remainder when ((-8)/(-16)*437)/((-3)/(-6)) is divided by 13.
8
Let t = 163 + -152. What is the remainder when 11 is divided by t?
0
Suppose 0 = 3*k, -5*k - 736 = 13*h - 14*h. Calculate the remainder when h is divided by 82.
80
Suppose 4*y = -37*y + 410. Calculate the remainder when 46 is divided by y.
6
Suppose -3*d + 25 = k + d, 5*d - 35 = -2*k. Let o = -19 - -10. Let f = 16 + o. What is the remainder when f is divided by k?
2
Suppose -27*q + 23*q = 4, 139 = 3*k - 4*q. What is the remainder when 446 is divided by k?
41
Suppose 0 = -i + 3*o + 23 + 43, i + 4*o = 52. Let r = | {
"pile_set_name": "DM Mathematics"
} |
easing order.
0.2, n, q
Let s be (4/6 + 2)*3. Let w = s + -5. Let h(f) = -f + 3. Let t be h(w). Sort 3, -0.4, t in decreasing order.
3, t, -0.4
Let l(p) = p**3 + p**2 + 4*p + 2. Let u be l(-1). Sort -13, -3, u in ascending order.
-13, -3, u
Suppose 2*t = -3*t - 10. Let d be (1/(-3))/(2/(-6)). Sort 0, t, d in descending order.
d, 0, t
Let p(c) = -c - 4. Let t = 14 - 20. Let l be p(t). Sort l, -1, -3.
-3, -1, l
Let j = -1 - 1. Let l be (3 - (j + 2)) + 1. Sort l, -3, -4.
-4, -3, l
Let p = 5/59 + -281/531. Let y = -6/131 + 352/1965. Sort p, -0.5, y in descending order.
y, p, -0.5
Suppose 0*q + 2*q + 6 = 0. Suppose -6 + 1 = u, 3*p + 2*u = -4. Let v = p - q. Put v, -5, 4 in descending order.
v, 4, -5
Let v be (5/((-1575)/(-20)))/(4/6). Put -6, v, -4/3, -2/9 in ascending order.
-6, -4/3, -2/9, v
Let a be (-64)/72*(-3)/(-20). Sort a, -5, -3/5.
-5, -3/5, a
Suppose -z + 2 = 6. Sort 0, z, -3 in increasing order.
z, -3, 0
Let y = -0.42 - -0.52. Sort y, -3, 0.27.
-3, y, 0.27
Suppose -1 = -3*g + 5. Suppose 0 = -0*c - 3*c. Suppose -u - 6*v - 12 = -g*v, c = 4*v + 12. Put 4, -5, u in decreasing order.
4, u, -5
Let b be ((-2)/(-4)*1)/((-7)/(-4)). Let r = 1 + -1.4. Let p = 4 + -30/7. Put b, r, p in decreasing order.
b, p, r
Let f = -2.3 + 1.3. Let j = 0.5 - 1. Sort j, 2, f.
f, j, 2
Suppose r + 4 - 5 = 0. Sort -3, r, -2.
-3, -2, r
Suppose -x + 5 - 3 = 0. Put -5, x, 7 in decreasing order.
7, x, -5
Suppose 3*z = -3*h + 12, -5*h = -3*z - 2*h + 12. Sort -1, z, 5, -4 in ascending order.
-4, -1, z, 5
Let t = 10.4 - 11. Let k = t - -0.2. Let m = -2.2 - -2. Put 3/4, m, k in decreasing order.
3/4, m, k
Let u be 1*(3/15)/1. Let x(y) = 5*y - 5. Let o be x(-6). Let d = o + 139/4. Put d, 3/4, u in decreasing order.
3/4, u, d
Suppose -6 = 2*i, -3*i + 4 = 4*d - 3. Suppose -5*l + 5*f = 0, f + 0 = -l - 2. Put l, -3, d in increasing order.
-3, l, d
Suppose -z = -6*z + 10. Sort -3, -5, z in decreasing order.
z, -3, -5
Let w = -0.2 - 0.3. Let i = -251 - -254. Put i, 2/5, w in decreasing order.
i, 2/5, w
Let k be (0 - 4) + 1 + 9. Let z be (-2)/k - 84/(-36). Put 3, z, -2 in ascending order.
-2, z, 3
Let o = 0.06 - 4.06. Let u = 3.9 + o. Let s = 0.3 + -0.1. Put -1/2, u, s in decreasing order.
s, u, -1/2
Let t(m) = -m + 2. Let f be t(5). Let b = -1 - f. Suppose 0 = b*c + c + 12. Put c, -0.4, 5 in ascending order.
c, -0.4, 5
Let a = 28 + -39. Sort a, 3, 5 in descending order.
5, 3, a
Suppose 0 = 5*u - 4*i, -5*i + 2*i = 4*u. Let g(q) = q + 1. Let m be g(-6). Sort 3, u, m in ascending order.
m, u, 3
Let f = 17 - 24. Let q = 11 + f. Let k = q - 7. Sort k, 2/3, -4.
-4, k, 2/3
Let w be ((-7)/4 + 1/(-4))*-2. Sort 3, -2, w in decreasing order.
w, 3, -2
Let v be (-28)/(-13) + 6/(-39). Suppose 0 = 5*n - 4*g - 21, -v*n - 14 = 2*g + 2*g. Put 4, n, -14 in increasing order.
-14, n, 4
Suppose -2*m - 4 = p, 0*p - 4*m - 6 = p. Let j be ((-24)/14)/((-24)/112). Suppose 0 = -2*v + 4*b - 3*b + j, 2*b = -3*v - 2. Put p, v, -4 in ascending order.
-4, p, v
Let p = 39 + -43. Sort p, 3, 4.
p, 3, 4
Let s be (3*3/9)/(3/(-6)). Let x = -1 - 4. Let q = 13 + -8. Put q, s, x in decreasing order.
q, s, x
Let u(o) be the first derivative of o**2/2 + 4*o - 4. Let p be u(-6). Sort 0.2, 1/3, p.
p, 0.2, 1/3
Suppose 4*j - 4 = -0*j. Sort -2, j, 3.
-2, j, 3
Suppose 3*b - 47 = -0*b + 4*j, -89 = -5*b + 4*j. Suppose 4*p + 22 = 2*d + 4, 0 = 4*p + d + b. Let q be (-60)/27 - (-16)/72. Sort -3, p, q in descending order.
q, -3, p
Let w = -5/6 - 2/3. Let r be 20/32 + 1/(-8). Sort 1, w, r.
w, r, 1
Suppose r = -2*r - 6. Suppose 2*b + 4*f = -10, 7*b - 6*b - 3*f - 5 = 0. Sort r, 4, b in descending order.
4, b, r
Let o be (-20)/16*(-2)/10. Let n = -49.7 - -52. Let r = -0.3 + n. Sort -2/7, o, r.
-2/7, o, r
Let b = 6.3 + -6. Put b, -5/3, 2 in descending order.
2, b, -5/3
Let z be 18/(-8) + 9/3. Let h(i) = -i**2 - 11*i + 2. Let q be h(-11). Let p be -3 - 0*q/(-6). Put p, z, 4/7 in increasing order.
p, 4/7, z
Let z be (-1)/((-9)/3)*-3. Sort z, 2, 0.
z, 0, 2
Let v(i) be the second derivative of -i**4/12 - i**3 + 9*i**2/2 - 2*i. Let c be v(-7). Let b = c - 2. Sort 1, -1, b in descending order.
1, b, -1
Let a(p) = -p**3 + 3*p**2 + 5*p - 3. Let f be a(3). Sort -3, f, -2 in decreasing order.
f, -2, -3
Suppose 5*a = o - 0*a + 30, 5*o + 4*a + 5 = 0. Put o, -1, 1 in increasing order.
o, -1, 1
Let j(v) = v**2 + 3*v - 6. Let r be j(-5). Suppose 3*k = -6 - 3. Suppose -5*x = 4*n - 7*n - 17, -21 = -x + 5*n. Sort x, k, r.
k, x, r
Let b be 3/(-5) + (-258)/(-330). Sort b, -5/2, -5 in ascending order.
-5, -5/2, b
Let a = 10 + 3. Let u = a + -12.9. Let q = -7 + 2. Sort u, 2/15, q.
q, u, 2/15
Let x be (-2)/(-4)*-4 - -3. Suppose -3*h = -0*h - 6. Sort 0, h, x.
0, x, h
Let a be (-3 - (-20)/8)*38. Let d = -19 - a. Sort 5, -1, d in increasing order.
-1, d, 5
Let k(h) be the second derivative of 0 + 0*h**2 + 1/6*h**3 + h. Let b be k(3). Sort -1, b, 2 in descending order.
b, 2, -1
Let h = -42 + 38. Put -0.3, h, 5, 1 in ascending order.
h, -0.3, 1, 5
Let q = 0.084 + 0.216. Put -4, q, 0.5, -12 in increasing order.
-12, -4, q, 0.5
Suppose 5*m - 20 = -5. Sort 4, 1, m in decreasing order.
4, m, 1
Let l be (2/(-14) - (-189)/294)*0. Put 22, 2, 3, l in descending order.
22, 3, 2, l
Let z be (-2 - 3) + -3 + 5 - -7. Sort -0.8, -1/8, z.
-0.8, -1/8, z
Let s = -0.12 + 6.12. Let g = s - 2. Let q = -8.9 + 4.9. Sort g, q, 0.4 in decreasing order.
g, 0.4, q
Let p(u) = -u**3 + 7*u**2 + 5. Let s be -3*(-2)/12*14. Let i be p(s). Sort 4, i, 3 in increasing order.
3, 4, i
Suppose -3 = -p, 3*r - 5*p + 6 = -9. Suppose r = -5*k - 11 + 41. Let a be 18/4*4/k. Put a, 5, -1 in ascending order.
-1, a, 5
Suppose -11 = 3*l - 5. Let k be (-8)/(-16)*3*l. Put k, 0.4, 5 in descending order.
5, 0.4, k
Let f = -14 + 59. Let r be (-2)/20 - 18/f. Put 2/11, r, 3 in ascending order.
r, 2/11, 3
Let f(k) = -k**3 - 2*k**2 + 16*k + 2. Let h be f(-5). Let b be 30/7 + (-4)/14. Put -1, b, h in decreasing order.
b, -1, h
Let o = 3 - 2. Suppose m + 1 = -o. Put 1, -4, m in descending order.
1, m, -4
Suppose -3*x - 4 = a, -3*a - 1 = -4*x - 2. Sort 0, a, -4 in increasing order.
-4, a, 0
Suppose 8 = 3*j - 7. Let l(m) = 3*m**2 - 3*m + 8. Let w(z) = -z**2 + z - 4. Let v(t) = j*w(t) + 2*l(t). Let a be v(3). Put -4, 3, a in decreasing order.
3, a, -4
Let v = -47 + 91/2. Put v, 0.2, 2/5 in ascending order.
v, 0.2, 2/5
Let h = -3/14 + -2/7. Let z be 3/(-18) - 551/(-714). Let x = z + -3/17. Sort 0.3, x, h.
h, 0.3, x
Let m = 23/5 - 64/15. Let g be ((-3)/(-5))/((-3)/2). Sort m, -1/7, g in decreasing order.
m, -1/7, g
Let g be 60/(-18) + 1/3. Suppose -p + 4*p = -s - 13, -2*s - 5*p - 23 = 0. Sort 3, g, s in increasing order.
s, g, 3
Let z be (-162)/(-10) - 4/20. Let n be (2/(-4))/(2/z). Sort n, -5, -3 in ascending order.
-5, n, -3
Let f = 0 - 7. Let i = f + 4. Let u = -0.4 + 0.4. Put i, u, -2 in decreasing order.
u, -2, i
Suppose 0 = -3*d + 2*d - 2. Suppose -5*x - 2*a = a + 17, x = 4*a + 15. Let m be 0 - 2/(4/10). Put m, x, d in increasing order.
m, d, x
Let f = -0.02 - 2.98. Let r = -0.17 - -0.27. Put -3/7, r, f in increasing order.
f, -3/7, r
Let g = 0.012 - 1.012. Put g, -5, 0.2, 0.5 in decreasing order.
0.5, 0.2, g, -5
Suppose -p = o, 4*o - 1 = -5*p + 1. Let n be ((-9)/12)/(1 + (-9)/12). Put 3, n, p in ascending order.
n, p, 3
Let c = 60 + -55. Put -3/7, -3/4, -4, c in descending order.
c, -3/7, -3/4, -4
Let s = -167 - -172. Sort s, -1/15, -0.1 in ascending order.
-0.1, -1/15, s
Let r = 0 - 1. Let i be 39/(-36) + r/(-3). Sort 4, i, 3/2.
i, 3/2, 4
Suppose 2*c = -3*p - 21, -c - 2 = -p - 4. Sort p, -2/13, 2 in ascending order.
p, -2/13, 2
Let j = 3.3 - 7.3. Put -0.1, j, -2/3 in decreasing order.
-0.1, -2/3, j
Let z(s) = -s**2 + 7*s - 9. Let w be z(6). Sort -5, w, 3.
-5, w, 3
Let v = 0.017 - -0.183. Let k be 1/1*(0 + -1). Sort 2, k, v.
k, v, 2
Let g = 1 + -4. Let q(z) = z - 7. Let k be q(10). Suppose 2 = k*f - 2*f. Sort g, f, 0 in decreasing order.
f, 0, g
Suppose -125 = 5*k + 2*l, 0 = -3*k + 3*l - 5 - 70. Let w = k - -101/4. Let t = -4.5 - -0.5. Sort -5, w, t in increasing order.
-5, t, w
Let f(a) = -3*a. Let m be f(-4). Let d = m - 11. Sort d, -3, -2.
-3, -2, d
Suppose 4*j = -3*y - 0*y + 23, -3*j = 4*y - 19. Suppose -3*p - j = p + 3*c, -3*p = 3*c. Sort 3, -1, p in descending order.
3, -1, p
Suppose -2*w + 15 = w. Suppose 0 = 3*h | {
"pile_set_name": "DM Mathematics"
} |
aces.
-0.0000021
What is -42125994.84 rounded to the nearest ten thousand?
-42130000
What is -0.00235504202 rounded to five decimal places?
-0.00236
What is -0.0000573854033 rounded to 5 dps?
-0.00006
What is -26.9139256 rounded to zero dps?
-27
What is 0.00115941278 rounded to three decimal places?
0.001
Round 0.02221900845 to two decimal places.
0.02
Round -4.2695973 to 0 dps.
-4
What is -0.00002887218827 rounded to seven dps?
-0.0000289
What is 1697.01341 rounded to the nearest 1000?
2000
What is -36723953.6 rounded to the nearest ten thousand?
-36720000
Round 154603718.7 to the nearest 1000.
154604000
What is -15.233333 rounded to 3 dps?
-15.233
What is -7338725 rounded to the nearest one hundred thousand?
-7300000
Round 0.0125456587 to 5 dps.
0.01255
Round 11649.0904 to the nearest one thousand.
12000
What is 0.00930942191 rounded to 4 decimal places?
0.0093
What is 1563.646 rounded to the nearest 1000?
2000
Round -0.0005383356845 to five decimal places.
-0.00054
Round -1318.761785 to zero decimal places.
-1319
What is -0.043089361 rounded to 2 dps?
-0.04
Round 0.00002752506653 to seven decimal places.
0.0000275
What is 0.0033300208 rounded to six dps?
0.00333
What is 32.3873385 rounded to 2 dps?
32.39
Round 0.00003443443102 to 7 decimal places.
0.0000344
Round -412818687 to the nearest ten thousand.
-412820000
Round 4377.8746 to the nearest 100.
4400
Round -8045.8274 to the nearest ten.
-8050
Round -17052970.17 to the nearest one million.
-17000000
What is -17.5975462 rounded to the nearest integer?
-18
Round -745.7199049 to one dp.
-745.7
Round 596.8231 to the nearest integer.
597
Round -0.0248429352 to 3 dps.
-0.025
Round 0.0011301050537 to 7 decimal places.
0.0011301
Round -3201790.298 to the nearest 100000.
-3200000
Round -10987715.29 to the nearest 1000.
-10988000
Round -104651.43465 to zero dps.
-104651
Round 1.81784885 to 4 dps.
1.8178
Round 2476.274212 to the nearest 10.
2480
What is 0.0574439034 rounded to two dps?
0.06
What is 55.376438 rounded to 2 decimal places?
55.38
What is 113.35397 rounded to the nearest 100?
100
Round -1486578.042 to the nearest 1000.
-1487000
Round 0.00104221616 to six dps.
0.001042
Round 34513.89519 to the nearest integer.
34514
Round -11.1290787 to 0 dps.
-11
Round 521672.6 to the nearest one hundred thousand.
500000
What is -0.13629834 rounded to two dps?
-0.14
Round 1655.635708 to one decimal place.
1655.6
What is -173.95853 rounded to 2 decimal places?
-173.96
Round 907.37116 to the nearest one hundred.
900
What is 0.91285882 rounded to four decimal places?
0.9129
Round 0.05468365506 to 3 dps.
0.055
Round -3.092316729 to 4 decimal places.
-3.0923
What is 5658.15942 rounded to 1 dp?
5658.2
What is 151845289 rounded to the nearest one hundred thousand?
151800000
Round 139.326121 to the nearest 10.
140
What is -0.035583104853 rounded to 4 dps?
-0.0356
Round -10998.455 to the nearest 10.
-11000
Round -0.05979482538 to six dps.
-0.059795
What is -0.00090428159 rounded to five decimal places?
-0.0009
What is 37.46765036 rounded to 2 dps?
37.47
What is -0.0000316528394 rounded to six decimal places?
-0.000032
Round 3157.3887 to the nearest integer.
3157
Round -0.209841381 to 1 dp.
-0.2
What is -0.221440571 rounded to two dps?
-0.22
Round -28318305.9 to the nearest one hundred thousand.
-28300000
Round 7688226.77 to the nearest 100000.
7700000
Round 16099491.33 to the nearest one hundred thousand.
16100000
What is -0.01258857898 rounded to six decimal places?
-0.012589
What is 0.105900793 rounded to two dps?
0.11
Round -181318.01 to the nearest ten thousand.
-180000
Round -11701559.306 to the nearest 1000.
-11702000
Round -10495.237772 to one dp.
-10495.2
What is -68823.0544 rounded to the nearest 10000?
-70000
Round 240.0872058 to the nearest 10.
240
What is 1694086.9 rounded to the nearest 100000?
1700000
What is -2212571.99 rounded to the nearest 100000?
-2200000
Round 5.1838873 to one dp.
5.2
What is 0.276188292 rounded to 4 dps?
0.2762
What is 10753835.9 rounded to the nearest 100000?
10800000
Round 34500221.1 to the nearest 1000.
34500000
Round 0.000474841748 to 7 dps.
0.0004748
Round -1164889.542 to the nearest one thousand.
-1165000
What is 44217836.5 rounded to the nearest 10000?
44220000
What is 0.000009336177867 rounded to 6 decimal places?
0.000009
What is 0.05372934988 rounded to 4 decimal places?
0.0537
What is -0.000641671294 rounded to 4 decimal places?
-0.0006
Round -0.00480714862 to 7 dps.
-0.0048071
Round 1514201735 to the nearest one million.
1514000000
Round -5.88453405 to three dps.
-5.885
Round 3319.75895 to the nearest one hundred.
3300
Round -0.0090219548 to six dps.
-0.009022
What is -0.0108546202 rounded to five decimal places?
-0.01085
What is -117.912088 rounded to 1 decimal place?
-117.9
What is -0.02699719224 rounded to 5 dps?
-0.027
Round -68171.0525 to the nearest 100.
-68200
Round -0.0003271138496 to 7 dps.
-0.0003271
What is -0.1685139343 rounded to five decimal places?
-0.16851
Round 5899.2044 to the nearest ten.
5900
Round -0.00171901 to two decimal places.
0
Round 2280063.872 to the nearest ten thousand.
2280000
What is -0.000001012933396 rounded to seven decimal places?
-0.000001
Round -0.01710949289 to six dps.
-0.017109
What is 41032581.5 rounded to the nearest 10000?
41030000
What is -0.00613312842 rounded to 7 dps?
-0.0061331
Round -814.83999 to one decimal place.
-814.8
Round 157475787.6 to the nearest 1000000.
157000000
Round 0.147854228 to 3 dps.
0.148
Round -14344306500 to the nearest one million.
-14344000000
What is 11239.88815 rounded to the nearest 1000?
11000
What is -0.00148209444 rounded to four dps?
-0.0015
What is 307490177 rounded to the nearest 10000?
307490000
What is -331743.711 rounded to the nearest ten?
-331740
What is -284639205900 rounded to the nearest 1000000?
-284639000000
Round 5144.54305 to the nearest one hundred.
5100
Round 16057219.31 to the nearest 1000000.
16000000
Round -89261817 to the nearest 1000000.
-89000000
Round -0.1048593626 to three decimal places.
-0.105
What is 695.02217 rounded to 1 dp?
695
Round 0.46308834 to four dps.
0.4631
Round 138219.224 to the nearest 10.
138220
Round -0.000225279928 to 5 decimal places.
-0.00023
What is -391217.1 rounded to the nearest one hundred?
-391200
Round -1649694.8346 to the nearest 10000.
-1650000
What is -0.0051094652 rounded to six decimal places?
-0.005109
Round 0.679978472 to three dps.
0.68
What is 6.0901155 rounded to one decimal place?
6.1
Round 345520394.2 to the nearest ten thousand.
345520000
Round -41.594228 to 1 decimal place.
-41.6
Round -0.006346377 to four decimal places.
-0.0063
Round -1.35886509 to one dp.
-1.4
What is 2308387306 rounded to the nearest one million?
2308000000
Round -6108258280 to the nearest one million.
-6108000000
Round 0.8944026 to 1 decimal place.
0.9
What is -0.00375159518 rounded to six dps?
-0.003752
Round 3729139.072 to the nearest ten thousand.
3730000
What is 0.00001210953 rounded to six dps?
0.000012
Round 1.10024475 to two decimal places.
1.1
What is -2141.40855 rounded to the nearest 100?
-2100
Round -2.014984571 to 2 dps.
-2.01
Round -7878643 to the nearest one million.
-8000000
Round -10123.1138 to the nearest ten.
-10120
Round -0.000013127591 to 5 decimal places.
-0.00001
Round 0.00587923199 to three dps.
0.006
What is -111.47118543 rounded to 1 dp?
-111.5
Round -647820373.4 to the nearest 1000000.
-648000000
Round -753301.1 to the nearest one thousand.
-753000
What is -0.000728823871 rounded to four decimal places?
-0.0007
What is -0.000047289448 rounded to 7 dps?
-0.0000473
Round 7484920.83 to the nearest one hundred thousand.
7500000
What is 0.00641184222 rounded to three decimal places?
0.006
What is 683683110.8 rounded to the nearest 1000000?
684000000
Round -424.097229 to the nearest integer.
-424
Round 0.07355045561 to two decimal places.
0.07
Round -3251007.76 to the nearest one hundred thousand.
-3300000
What is -378.104729 rounded to the nearest 100?
-400
What is -21323167.847 rounded to the nearest 100?
-21323200
What is 0.0437901163 rounded to five dps?
0.04379
What is -0.560306827 rounded to 1 dp?
-0.6
Round -0.02160967 to five decimal places.
-0.02161
Round -5660.63936 to the nearest integer.
-5661
Round 275.201254 to | {
"pile_set_name": "DM Mathematics"
} |
o = -267/4 - -66. Let l = -40.2 + 34. Let j = 2.2 + l. Which is the closest to 0.2? (a) 5 (b) j (c) o
c
Let f = 199 + -196. Which is the nearest to -2? (a) 1/4 (b) 2 (c) -0.2 (d) f
c
Let w = -161 - -319/2. Let o = 1.4 - 1. Let d = -0.8 + 1. Which is the nearest to 1? (a) w (b) d (c) o
c
Let h = -5.52 + 6. Let z = -0.58 + h. Which is the closest to z? (a) 4 (b) 1 (c) -1/5
c
Let w = -447 - -445. Which is the closest to w? (a) 4 (b) 0.04 (c) -2 (d) 6
c
Let q = -1.5 + 2. Let d = -39.23 - -40.23. What is the closest to q in d, 4, -2?
d
Let n = 8 + -8. Let g = n - -3. Let t = -3/16 + 11/16. What is the nearest to t in -2/13, -0.2, g?
-2/13
Let o be (12 - 3) + (-114)/12. What is the nearest to 0.1 in o, 0.2, -31?
0.2
Let p = 16.86 - 12.86. Which is the closest to p? (a) -4 (b) 0.4 (c) -14
b
Let m = -337 + 334. Let t = 9 - 8.5. What is the closest to 0.1 in t, m, 3?
t
Let u = -589/28 + 149/7. Let j = 1 + 3. What is the closest to -2/3 in u, 1/2, j?
u
Let l = -161/221 - -15/17. Let k = 31.9 + -36.9. Which is the nearest to 1? (a) l (b) k (c) -0.5
a
Let m = 14 - 13.5. Let g = 3.4 + m. Let u = 4 - g. Which is the nearest to -1/4? (a) -0.5 (b) u (c) -2
a
Let o = 29/20 + -6/5. Let x(k) = -2*k**2 + 4*k**2 + 6*k + k**2 - 2*k**2 + 3. Let p be x(-6). Which is the nearest to 2? (a) o (b) p (c) -1/3
b
Let h = -25 - -10. Let m = -12 - h. Which is the closest to 0? (a) m (b) -6/11 (c) 0.3
c
Let m be (-2 + 82)/(6*3/36). Let w = 319/2 - m. Which is the closest to 5? (a) -1/11 (b) -3/5 (c) w
a
Let v = 0.924 + 0.076. Which is the closest to v? (a) -0.5 (b) -2 (c) 34
a
Let g = -0.04 + 2.04. Let o = g - 2.4. Let y = -62 - -62.1. Which is the closest to -2? (a) o (b) y (c) -5
a
Let x be -45 + 37 - (-15)/2. Let n = -0.8 + 0.5. Let d = 0.7 - n. What is the closest to -1/4 in 5, x, d?
x
Let k = 0.1 + -0.2. Let s = 8558 - 8557.8. What is the nearest to s in -12/11, k, -1?
k
Let m = 10 + -10.1. Let d = 0.6 + -0.8. Let s = -0.4 - d. Which is the nearest to -1? (a) s (b) m (c) 4
a
Suppose 0 = -2*z + 10 - 2. Let u be -3*(7 + -6) - -2. Let j = 1 - 5. What is the closest to -0.1 in u, j, z?
u
Suppose -5*t + 3*j + 22 = 0, -5*t + 16*j = 15*j - 14. Which is the closest to -0.4? (a) -5 (b) t (c) -0.03
c
Let t = 0.3 - 0.1. Let k = -3955/3 - -1319. Let n = 0 - 0. What is the closest to -1/2 in t, n, k?
n
Let s = -908 + 906. Which is the closest to 2/5? (a) -1 (b) s (c) -0.4
c
Let l(f) = 25*f**2 - 251*f + 12. Let b be l(10). What is the closest to 0 in 0, 4, -2/23, b?
0
Let q = 0 - -0.1. Let r = -0.06 - 0.02. Let m = r - 1.92. Which is the closest to q? (a) m (b) 3/4 (c) 2
b
Let t = -632 + 632.2. Which is the closest to -3/4? (a) t (b) -4 (c) -0.1
c
Let s = 0.37 - 0.57. Let m = 7 - 4. Let h = m + -3. Which is the nearest to h? (a) s (b) -2 (c) -1
a
Suppose -7*a + 4*a - 12 = 0. Let h = -3.91 + -0.09. What is the nearest to h in -5, -1/3, a?
a
Let r be (-170)/(-30) - (-18)/(-3). Let h = -2.639 - 0.471. Let p = 0.11 + h. What is the nearest to 0 in 0.03, p, r?
0.03
Suppose 22*y + 79 = -163. Which is the closest to 1? (a) -4 (b) 1/3 (c) y
b
Let w = 28 + -33. Let h = -1.2 - -0.5. Let p = 0.7 + h. What is the closest to p in 4, w, -1/6?
-1/6
Let s be (-2)/(-7) + 48/(-21). Let i(v) = -v**2 - v. Let f be i(s). Let q be (1 - (-8)/(-5))/((-33)/(-22)). Which is the nearest to 0? (a) q (b) -1 (c) f
a
Let m be 23505/(-9825) - 4/(-10) - -2. Let c = -265/393 + m. What is the closest to c in 5/2, -6, -0.5?
-0.5
Let r = 11.5 + -10. Let q = -0.5 + r. Which is the nearest to 0? (a) q (b) 1/6 (c) -3
b
Let i = 0.0011 + -2.0011. Let y = 0.37 - -0.03. Which is the nearest to i? (a) y (b) -4 (c) 2
b
Suppose 4*s + s + 25 = 0. Let h(l) = 2 + 41*l + 2 - 42*l. Let a be h(6). What is the closest to -1 in s, -2/3, a?
-2/3
Let p = -70/129 - -9/43. Which is the closest to -0.4? (a) -3/7 (b) 2 (c) p
a
Let u = -18.329 + 0.029. Let g = u + 18. Let c = 3 - 8. What is the closest to -0.1 in g, c, -2?
g
Let l = -48 + 42. Let t = l - -3. Which is the closest to 1? (a) 3/4 (b) t (c) -1
a
Let z be 172/(-308) + (-18)/(-63). What is the nearest to 1/4 in z, -2/3, 3/5?
3/5
Let i = 366 - 363. What is the closest to 0 in 0.2, 0.4, i, 0.3?
0.2
Let g be 2*-1*45/(-40). Let s = g - 5/2. Let k be (2 - 0) + -2 - -3. Which is the closest to s? (a) k (b) -1/2 (c) 1/4
b
Let f = -315 + 316. What is the closest to 0.2 in 0.5, f, -2?
0.5
Let g = 50.8 + -51. Let l = 263/4 + -66. Which is the closest to 1/2? (a) l (b) g (c) -5
b
Let w be 5*-1 + 4/((-132)/(-187)). Which is the nearest to -1? (a) w (b) 4 (c) 5
a
Suppose 3*j + 15 = -27. Let y be 0/(99/77 + 4/j). Which is the nearest to 1/4? (a) -0.1 (b) y (c) -5
b
Let q = -122.5 + 123. What is the closest to 0.1 in q, -1/3, 3?
q
Let m be 7/49 - (-18)/(-42). Which is the nearest to m? (a) 2 (b) -3 (c) -8
a
Let w = 1094/7 + -156. Which is the closest to 4? (a) -0.4 (b) -2/3 (c) w
c
Let n = -9.5 - 1.5. Let q = 10.1 + n. Let j = q - -1. What is the nearest to j in 3/5, 0.04, -2?
0.04
Let i = -6.227 + 1.227. What is the closest to 0 in i, -41, 0, 2?
0
Let b be 17/4 - 1/4. Suppose 2*u - b = -2. Let v = -9 + 12. What is the closest to u in v, -4/3, -1/5?
-1/5
Let h be (-6)/4*(-9 + 5). Let m = 4.88 - -14.82. Let k = -20 + m. Which is the closest to h? (a) 4 (b) -1 (c) k
a
Suppose 3*r = -3*r - 2040. Let w be 2/7 - r/35. Suppose -5*x + w = -4*i - i, -5*x = 3*i - 10. Which is the nearest to 0.4? (a) 3 (b) x (c) -0.1
c
Suppose -36*l + 29*l - 21 = 0. What is the nearest to -1/4 in -2/9, -0.2, 1/8, l?
-2/9
Let h = -132 - -131.8. Which is the closest to h? (a) -1/4 (b) -14 (c) -4
a
Let a = -0.35 - -3.35. What is the closest to 0.3 in 2/5, a, -1?
2/5
Let w = -6 - -5.6. Let f = 84 + -105. Let i be (-14)/f + ((-48)/(-9))/(-4). What is the nearest to i in -4/5, -3, w?
-4/5
Let n = 0.39 - 0.49. Which is the closest to n? (a) -0.07 (b) 17 (c) 0.3
a
Let f = 148 + -145. Suppose -6*r = -f*r + 6. Let i(m) = -m. Let n be i(-4). What is the nearest to 3 in r, 0, n?
n
Let g = 298 - 298.5. Which is the closest to -1/3? (a) -2 (b) -0.3 (c) g
b
Suppose 69 = -4*r + 49. What is the nearest to 1/4 in 5, 1/4, 0.5, r?
1/4
Let t = 15 + -7.2. Let x = t + -8. Let f = -0.4 + 1.4. Which is the nearest to 0.09? (a) f (b) 0.2 (c) x
b
Let k = 332 + -327. Let f = -3 - -3.1. What is the closest to 0.2 in f, k, 3?
f
Let j = 25 + -32. Let s = -0.51 + -3.49. Which is the closest to j? (a) 5 (b) -1 (c) s
c
Let y = -5.08 + 0.08. Let t = 3.093 + -0.093. Which is the closest to 0? (a) 2/5 (b) y (c) t
a
Let i = -16470 + 16473. Let z be 1*-2*2/(-12). Which is the nearest to -2? (a) z (b) i (c) -2/15
c
Let t be (-600)/(-375) - (-27)/(-20). What is the nearest to 2 in -49, -5/6, t?
t
Let w = -33 - -25.4. Let q = -7.61 - w. Which is the nearest to q? (a) -5 (b) -3 (c) -0.5
c
Let x = -158 - -158. What is the closest to x in -3, 0.1, 1?
0.1
Let v(m) = m + 4. Let n be v(-9). Let r = 53 + -52.9. Which is the closest to -1/3? (a) r (b) -4 (c) n
a
Let y = -3129 + 3123. Which is the closest to -1/4? (a) -0.1 (b) -37 (c) y
a
Let y = 2.47 + 0.53. Let d = -0.86 + 0.06. Let h = d + 0.6. What is the nearest to -1/4 in h, 2/5, y?
h
Let u = 5/6 - 19/12. Let m be 4*1/((-700)/14). Which is the nearest to -1? (a) u (b) 0 (c) m
a
Let p = -0.43 + 1.43. Which is the nearest to 2.9? (a) p (b) 2/3 (c) -5
a
Let a = -11.86 + -10.54. Let t = 0.007 + 21.993. Let r = a + t. What is the nearest to 1/3 in -1/2, r, 1?
1
Let o(t) = t**3 + 5*t**2 + 5*t + 2. Let f be o(-2). Suppose f*u - 6 = 3*m, 2*u = -3*u + 5*m + 5. What is the nearest to -1/3 in -3/2, 5, u?
-3/2
Let s = 59 - 58.73. Let p = 0.29 + -0.26. Let u = p + s. Which is the closest to -1? (a) u (b) -2/7 (c) 1
b
Let l = -1.7 + 24.7. Let w = 19 - l. Let x = -524/7 + 75. Which is the closest to 0? (a) -3 (b) x (c) w
b
Let m = -1039 + 15583/15. Which is the nearest to 3/4? (a) -0.5 (b) 0.2 (c) 4/5 (d) m
c
Let g(m) = m**3 - 12*m**2 + 21*m - 8. Let q be g(10). Which is the closest to q? (a) -2 (b) -2/5 (c) -19
b
Let t = 109 + -108. Let k be (-4 + 5)*(t + -10). What is the nearest to 1/4 in -2, k, 3?
-2
Let d = -2094 + 2091. What is the nearest to 3 in 65, 0.1, d?
0.1
Let h = -1.28 | {
"pile_set_name": "DM Mathematics"
} |
(-1005)/(-9) - 2/d. Let s = p + -63. What are the prime factors of s?
2, 3
Let n = -1658 - -3196. What are the prime factors of n?
2, 769
Let p(x) = 2*x**2 - 8*x + 4. Let i be p(5). Let a be 6/21 + (-32)/i. What are the prime factors of 1/(a + (-27)/(-13))?
13
Suppose 584 = 3*t - v - 859, -3*v + 2391 = 5*t. List the prime factors of t.
2, 3, 5
Let d(g) = 758*g + 131. List the prime factors of d(2).
3, 61
Suppose -11*j - 16 = -7*j, -4*n - 4*j + 5744 = 0. List the prime factors of n.
2, 3, 5
Let o = -92 - -92. Suppose o = -5*g + g - 3*w + 899, 5*g + 2*w - 1115 = 0. List the prime factors of g.
13, 17
Let x(t) be the second derivative of 5*t**3/6 + 3*t**2 - 9*t. List the prime factors of x(6).
2, 3
Let j(n) = -3*n + 4. Let k be j(3). Let o be 2 - k/((-20)/(-148)). List the prime factors of o - ((-6)/2 - -3).
3, 13
Let l(m) = 42*m**2 + 7*m - 5. Let r be l(2). Suppose 213 = b - 4*y, y + 39 = b - r. List the prime factors of b.
7, 31
Suppose 4 - 1 = 3*z. Let y be (z - 5)*(-3)/3. Suppose -22 - 54 = -y*v. What are the prime factors of v?
19
Let y(p) = -p**2 + 9*p + 2. Let d be y(9). Suppose d*f - 60 = f. Suppose f = -7*s + 12*s. List the prime factors of s.
2, 3
Suppose -4*t = -11*t + 1855. Let k = -121 + t. What are the prime factors of k?
2, 3
Let c(l) = 1707*l**2 - 3*l + 1. What are the prime factors of c(-1)?
29, 59
Suppose 0*t = 5*t - 10. Suppose -f - 45 = -t*x, 0*f = -5*x + 3*f + 112. What are the prime factors of x?
23
Let u(r) = -152*r - 119. What are the prime factors of u(-14)?
7, 41
Let u be ((3 - 1) + -9)*-52. Suppose -u = -6*p + 458. List the prime factors of p.
137
Let f(g) = -4*g**2 - 3*g**2 + 3*g**2 + 3*g**2 - 15*g + 3. List the prime factors of f(-11).
47
Let x = 75 - 73. Suppose x*p = 4*a + 118 + 138, -4*p + 490 = 3*a. What are the prime factors of p?
2, 31
Suppose 6*n - n = 1325. List the prime factors of n.
5, 53
Suppose -2*s = -7*s + 25. Let d be 0/((3 - 1) + -3). Suppose 3*r = 3*y + 54, d*y + s = y. What are the prime factors of r?
23
Let k be -8 + 0 + -2*(1 + 0). Let g(f) = -f**3 - 9*f**2 + 9*f + 14. List the prime factors of g(k).
2, 3
Let r(u) be the third derivative of -u**7/1260 + u**6/144 + u**5/12 - 2*u**2. Let v(h) be the third derivative of r(h). List the prime factors of v(-5).
5
Let w = -1201 - -2087. List the prime factors of w.
2, 443
Let q be (-2*3/3)/((-1)/182). Suppose q + 314 = 5*a - h, -5*h = -a + 126. What are the prime factors of a?
2, 17
Let y = -191 + 2176. List the prime factors of y/20 + (-2)/8.
3, 11
Let q be (-56)/(-30) + 2/15. Suppose -17 = -5*o + n + 24, -q*o - 3*n = -13. List the prime factors of 60/o*(-8)/(-5).
2, 3
Let h be (-6)/(-4) - 6/12. Let d be (-1)/((-4)/748*h). Suppose 3*k = 4*w + d, 3*k - 185 = 2*w - 0*w. List the prime factors of k.
61
Let d(n) = -n**3 + 16*n**2 - 15*n + 20. What are the prime factors of d(11)?
2, 5, 23
Let y be (-1)/6 + 25/6. Let d = 2 - y. List the prime factors of -8*(1 + -1 + d).
2
Let b be 0/1 - (-39 + 2). Suppose -i + 2 = 28. Let g = i + b. What are the prime factors of g?
11
Let h = 6 - 2. Let a(k) = 10 - 2*k + 5 - k + h*k. What are the prime factors of a(14)?
29
Let y(c) = -109*c - 215. What are the prime factors of y(-14)?
3, 19, 23
Let s be (1*-1)/(2/(-14)). Suppose 442 = -58*q + 84*q. Suppose q + s = 3*m. List the prime factors of m.
2
Let g(k) = 3*k. Let l be g(1). Suppose 0 = l*y - 43 - 110. Let q = y - 26. What are the prime factors of q?
5
Suppose 154 = 6*u - 608. List the prime factors of u.
127
Suppose 5*z - 3*p = 10838, 2*z - 2941 = 2*p + 1395. What are the prime factors of z?
11, 197
Let n = 27 - 11. Let m be (-6)/4*n/(-6). Suppose 3 = 2*c + 5*r, -m*c + 9 + 2 = 5*r. What are the prime factors of c?
2
Let w = 70 + -61. Suppose -82 = -l - w. List the prime factors of l.
73
Let c be (-1)/((6/(-4))/3). Suppose -c*l + 0*d = 4*d + 10, -2 = l + d. What are the prime factors of l - ((-2)/(-1) - 12)?
11
Let a(s) = -s**2 + 10*s + 11. Let d = -5 - -17. Let h be a(d). Let z = 36 + h. List the prime factors of z.
23
Suppose m + 20 = 4*d, -4*m - 10 = -d + 25. Let x be (m - -9)/(2/134). Suppose 5*v - v = 5*l - x, -3*v = -3*l + 39. What are the prime factors of l?
3, 5
Let o(v) = -4*v**3 - v**2 + 5*v + 6. Let y(i) = -2*i**2 + 4. Let w be y(2). What are the prime factors of o(w)?
2, 113
Let f = 2274 + -1395. What are the prime factors of f?
3, 293
Suppose 45*j + 25*j - 248290 = 0. What are the prime factors of j?
3547
Let r(d) = 105*d + 18. Let q be r(2). Let p = -134 + q. What are the prime factors of p?
2, 47
Let z(t) = 2*t**2 - 2*t - 2. Let i be z(-1). Let q = -5 - -8. Suppose i*u = q*u - 22. List the prime factors of u.
2, 11
Suppose -4*x = -4 - 28. Let k(u) = -17*u**2 - 1 - 6 + 18*u**2 + 5*u - 11*u. List the prime factors of k(x).
3
Suppose -17*k = -8*k - 16065. List the prime factors of k.
3, 5, 7, 17
Let g = 798 - 370. List the prime factors of g.
2, 107
Let b = -164 - -43. Let f(i) = 17*i + 1. Let p be f(10). Let y = p + b. What are the prime factors of y?
2, 5
Suppose -3*y = -y - 8. Suppose w - 13 = i - y*i, -5*w + 11 = -3*i. Suppose 5*p - 4 = w*p. What are the prime factors of p?
2
List the prime factors of (-18)/(-30)*(6 - 1) - -1463.
2, 733
Let g = -1731 - -5805. List the prime factors of g.
2, 3, 7, 97
Let x be (-1)/(-2) + (-60)/(-24). Suppose 5*j = x*a - 14, -3*a + 4*j + 6 = -7. What are the prime factors of 2*a/((-3)/(-16))?
2
Suppose 5*p - 34 - 16 = 0. Suppose -5*k - 5 = -2*v, 0 = v + 4*k + 1 - p. List the prime factors of v.
5
Suppose 2*a + 7391 = 3*m - 3*a, -5*m = -5*a - 12325. List the prime factors of m.
2467
Suppose -17*f + 22*f + 270 = 0. Let c = -11 - f. List the prime factors of c.
43
Let j(c) = -c + 25. Let t be j(5). Suppose 8*h - t = -2*h. What are the prime factors of h?
2
Let n = -11 - -11. Suppose 0 = 3*l - n - 9. Suppose 0 = -2*r - l*d + 34, 1 - 5 = 2*d. What are the prime factors of r?
2, 5
Let f(t) = 28*t + 16 - 28*t - t**2 - 1. Let j = -22 + 22. List the prime factors of f(j).
3, 5
Let j = 66 + -40. Let d = j - 21. Let x = d + 21. List the prime factors of x.
2, 13
Let i(v) = v**3 + 5*v**2 - 4*v - 16. Let c be i(-5). Suppose -c*p + 123 = -205. What are the prime factors of p?
2, 41
Suppose -2*s = -4*y + 460, 0*s - 230 = -2*y + 4*s. Suppose 65 = 3*f - q, f = 6*f + 5*q - y. Let o = f + -14. List the prime factors of o.
2
Suppose -4*x + 3283 = 5*g, 17*g = 12*g + 5*x + 3310. List the prime factors of g.
659
Let k(y) = 26*y**2 - 5*y - 2. Let a be k(5). Suppose 12 = 3*s, -3*d - 2*s + a = 216. Let x = d - 93. What are the prime factors of x?
2, 5
Suppose 4*q = 12 + 48. Suppose q = p - 3. Suppose 37 = 5*n - p. List the prime factors of n.
11
Suppose -z - 4 - 6 = 0. Let a be (-18)/z + 2/10. Suppose -a*o + 97 = -39. List the prime factors of o.
2, 17
Let z(s) = 7*s**3 - 10*s**2 - 9*s + 36. What are the prime factors of z(8)?
2, 727
Let l(p) = 6*p + 51. List the prime factors of l(39).
3, 5, 19
What are the prime factors of 22/(-187) + (-36390)/(-85)?
2, 107
Suppose x = 3*x - 8. Suppose -252 = -5*t + 3*g, -58 = x*t - g - 261. List the prime factors of t.
3, 17
Let p(s) = s**2 - 13*s + 2. Let o be p(13). Suppose o*d + 24 = 5*d. What are the prime factors of d?
2
Suppose 10*u - 4*s + 278 = 13*u, -3*u + s = -298. Suppose u = 5*m - 762. List the prime factors of m.
2, 43
Suppose -13*f = -17*f + 744. Let a = f - 131. What are the prime factors of a?
5, 11
Suppose 10 = 4*w - 2*f, 4*f - f + 5 = -4*w. Let m be -3 + (2 - (w - 0)). Let p(q) = -14*q - 4. What are the prime factors of p(m)?
2, 3
Let u(v) = -v**3 - 64*v**2 - 48*v - 186. List the prime factors of u(-64).
2, 3, 13, 37
Suppose 0 = 3*d - 6 - 6. Suppose 15 = 5*l - 0*k - 2*k, d*l = k + 15. Suppose 38 = 5*h - l*b - 22, b = 4*h - 33. List the prime factors of h.
7
Let r be -1*45*16/(-40). Let y = r + -26. List the prime factors of (-110)/(-8) - 2/y.
2, 7
Suppose 3*r - 2*r = 4. Let x(l) = 6*l**3 + 2*l**2 - 1. Let m be x(1). Suppose r*i = m*i - 57. List the prime factors of i.
19
Let y(d) = -d**3 + 18*d**2 + d - 18. Let f be y(18). Suppose -78 = -3*t - 3*l - 21, -5*t + 4*l + 122 = f. List the prime factors of t.
2, 11
List the prime factors of 1 + (-2440)/(-5) + -6.
3, 7, 23
Suppose 13*b - 3823 = 4822. List the prime factors of b.
5, 7, 19
Suppose 6*s = -23*s + 39005. List the prime factors of s.
5 | {
"pile_set_name": "DM Mathematics"
} |
+ 1))**2*-4.
-634179 - 23041*sqrt(11)/2
Simplify 2*(4 + 2*sqrt(108)*1 - (-5 + (sqrt(108)*-1 - sqrt(108)) - sqrt(108) - (1 + sqrt(108)*-2)))**2*3.
2160*sqrt(3) + 6432
Simplify (sqrt(5500)*2 + sqrt(55) + -3*sqrt(1375))/(5*sqrt(1584)*6).
sqrt(5)/60
Simplify 6*(-2*-2*(sqrt(152) + sqrt(152)*-2)*1)/((sqrt(96)/sqrt(4)*-4)/(2*sqrt(300) - sqrt(300) - sqrt(300) - sqrt(300))).
-60*sqrt(19)
Simplify 3*(-1*(sqrt(68) + -4*(sqrt(68) + -1) - sqrt(68)) - ((sqrt(68) + 0 - sqrt(68)) + sqrt(68) + 5 - sqrt(68) - (-1 + sqrt(68) + -3 + sqrt(68))))**2*-2.
-15702 + 1872*sqrt(17)
Simplify (sqrt(847)*-3*2 + sqrt(847) + 0 - ((1*(sqrt(847) + -2) - sqrt(847)) + (sqrt(847)*-2 - sqrt(847) - sqrt(847))*3))**2*1.
308*sqrt(7) + 41507
Simplify -5*(2 + ((sqrt(1539) + (sqrt(1539) + 1*sqrt(1539))*2)*-3 - (-4 + sqrt(1539) + -1 + (sqrt(1539) - (-2 + sqrt(1539) + -1 + sqrt(1539))))))**2.
-1731455 + 5400*sqrt(19)
Simplify 4 + -4*(((sqrt(931) + -1)*6*-5)**2 - (-1*sqrt(2736)*4)**2*2).
-3004988 + 50400*sqrt(19)
Simplify ((sqrt(180) - (-1*sqrt(180) - sqrt(180))*3 - sqrt(180))/(sqrt(9) + sqrt(9) + sqrt(9)*-1*-4 + sqrt(9) - (sqrt(9) - 1*sqrt(225)))*-6)**2.
25920/121
Simplify 1*5*(2 + (sqrt(475) - (0 + sqrt(475) - sqrt(475)))) - (1 + -3 + (4*-1*sqrt(475) - sqrt(475))).
12 + 50*sqrt(19)
Simplify (0 + (-1 + sqrt(1088)*2)*-5 + -1 + -5)**2 + 4.
160*sqrt(17) + 108805
Simplify ((sqrt(490) + -1*4*sqrt(490) + sqrt(490))*-6)/((sqrt(245)*-1*5 - sqrt(245))*2).
-sqrt(2)
Simplify ((4*1*-3*(sqrt(91) + sqrt(91)*1 + sqrt(91)))/((-2*sqrt(70)*-6 + sqrt(70))/(sqrt(10) + sqrt(10) + sqrt(30)/sqrt(3)*-5)))**2.
11664/13
Simplify (-2*sqrt(448))**2*-4 + sqrt(448) + -2*(1*sqrt(448) + sqrt(448)) - -1*2*sqrt(7)*-3*4*6.
-7168 - 168*sqrt(7)
Simplify -2*(4 + (-2*(3*sqrt(153)/sqrt(9))**2 - (5*(sqrt(119) + (-4*sqrt(119) - sqrt(119))))/sqrt(7))).
-40*sqrt(17) + 604
Simplify ((-1*-3*sqrt(1620)*-4)/(-2*sqrt(432)/(sqrt(60)/sqrt(5))) + 0)**2.
1620
Simplify (-6*-2*(sqrt(450)/sqrt(10)*5)/sqrt(9)*-6 + -5)**2.
3600*sqrt(5) + 648025
Simplify -3 + ((sqrt(152) + sqrt(152) + (sqrt(152) + sqrt(152)*-1 + sqrt(152) - sqrt(152) - sqrt(152)) - sqrt(152))*-3*4)/(sqrt(16)/(-5*sqrt(2)*1)).
-3
Simplify ((sqrt(312)/sqrt(32) - -1*-1*sqrt(39))/(sqrt(24)/(-4*sqrt(32))))**2*-5.
-1040
Simplify sqrt(156)/(2*sqrt(12)) - (sqrt(13) + -3 + 5) - (3*(sqrt(1300) + (sqrt(1300) - sqrt(1300)*-2) + sqrt(1300))*-3)**2.
-2632502 - sqrt(13)/2
Simplify 2 + sqrt(1584) + (-1 + sqrt(1584) - sqrt(1584) - sqrt(1584)) + 5 - ((sqrt(11) - sqrt(88)/sqrt(8))*-2 - (sqrt(11) - sqrt(33)/(sqrt(6)/sqrt(2)))).
6
Simplify 2*(-2 + (sqrt(832) - (sqrt(832) - (sqrt(832) + -2))) + -5 + -4*sqrt(832)*2 + 4)**2.
1120*sqrt(13) + 81586
Simplify (2*(-1 + sqrt(102)/sqrt(6))*2 + 4 + sqrt(68) + sqrt(833) + sqrt(833)*1 + sqrt(833) + sqrt(833))**2.
19652
Simplify (2*(1*sqrt(600)*2 - sqrt(600))*-1)/(-5*-4*sqrt(1200)*-2).
sqrt(2)/40
Simplify (sqrt(2736) - (sqrt(2736) + (3 + sqrt(2736) - sqrt(2736)))**2)*4 + (3*1*sqrt(209))/sqrt(11) + 3.
-10977 - 237*sqrt(19)
Simplify (2*(sqrt(510)/(sqrt(90)*2))/((1*sqrt(363) - sqrt(363) - sqrt(363))*-4)*-3*-4)**2.
17/121
Simplify 4*(-1 + (2*1*sqrt(68)*-1)/((2*sqrt(196) - sqrt(196))*-3)).
-4 + 8*sqrt(17)/21
Simplify (-1*(sqrt(65) + 2*sqrt(65) + sqrt(65)) + 4*sqrt(65)*3)/(-1*(sqrt(15)*2)/sqrt(3)*5).
-4*sqrt(13)/5
Simplify (-2 + sqrt(14)/(sqrt(22)/sqrt(275)) + (0 + (sqrt(567)*-2 - sqrt(567)))*-2)**2.
-236*sqrt(7) + 24371
Simplify (5 + -3 + sqrt(17) - (sqrt(17) + -3)*-6)**2 + ((sqrt(204) + (sqrt(204) + 1*sqrt(204) + sqrt(204) - sqrt(204)))*-2)/(sqrt(84)/(sqrt(14)/sqrt(2))).
-230*sqrt(17) + 1089
Simplify (1*((sqrt(99) + sqrt(99) + -2 - (-2 + sqrt(99))) + 2 + sqrt(275) + -3 + 2))**2.
16*sqrt(11) + 705
Simplify -2*(2*sqrt(500) + 0 + 3) - ((sqrt(500) + (sqrt(500) + -2)**2 + sqrt(500))*3 - ((3*(sqrt(500) + -2))**2 - sqrt(500) - sqrt(500))).
-360*sqrt(5) + 3018
Simplify ((-3*(sqrt(1008) + 0)*-6 + sqrt(1008) + (sqrt(1008) + 0 - sqrt(1008)) + 0 + 3)*-1)**2.
1368*sqrt(7) + 363897
Simplify 2 + ((6*2*sqrt(18))/(sqrt(54)/(1*sqrt(9))) + 3 + sqrt(675) + 0)**2.
162*sqrt(3) + 2198
Simplify ((-3*sqrt(550))/sqrt(10) - (-2*sqrt(2695) + sqrt(2695)))/(4*sqrt(180)*1*-3).
-sqrt(11)/18
Simplify ((-2*sqrt(231) - sqrt(231))/sqrt(7))/((sqrt(60)/sqrt(4))/sqrt(5)) - (3 + sqrt(44)/sqrt(4) + sqrt(11) - -2*(sqrt(11) + 0)).
-7*sqrt(11) - 3
Simplify -5*sqrt(30)/(sqrt(120)/sqrt(108) + sqrt(10)) - 2*-2*(0 + sqrt(432) - sqrt(432)).
-15*sqrt(3)/4
Simplify (((-1 + sqrt(1900))*3 - (2 + sqrt(1900)*2))*3 + 0)**2*-1 + -5.
-17330 + 900*sqrt(19)
Simplify 2 + (((1*sqrt(1372) - sqrt(28)) + -1*sqrt(252) + sqrt(28))/(-1*(sqrt(4) - sqrt(12)/sqrt(3)) + -5*(sqrt(4) + sqrt(36))))**2 + -4.
-43/25
Simplify 2*(-3*(-2*(3*sqrt(209) + sqrt(209)) + sqrt(209)))/(5*(sqrt(11) + -2*sqrt(11)) - sqrt(176)*6).
-42*sqrt(19)/29
Simplify (2*(sqrt(85)*-1*1 - (sqrt(85) + 1*sqrt(85)*5)))/(sqrt(405)*-2*2 + sqrt(405) - ((sqrt(405) + -2*sqrt(405)*-5 - sqrt(405)) + sqrt(405))).
sqrt(17)/9
Simplify ((2 + (sqrt(2880) - (0 + sqrt(2880))))*-6)**2 - (3 + (sqrt(75)/(sqrt(20) + sqrt(5)))/sqrt(3))*-5.
5*sqrt(5)/3 + 159
Simplify (-5*1*sqrt(2160))/((sqrt(160)/sqrt(8) + sqrt(5))*5).
-4*sqrt(3)
Simplify (((sqrt(96)/(sqrt(2)*-2 - sqrt(2)))/(2*(sqrt(4)*-2 + sqrt(4) - sqrt(4))))/((sqrt(6336)*2 - sqrt(6336))/(sqrt(1584) + sqrt(1584)*2)) + 2)**2.
sqrt(3) + 67/16
Simplify (6*(-1 + ((-5 + 3*sqrt(448) - sqrt(448)) + sqrt(448))*2 + 2 + sqrt(448) + -5 + sqrt(448) + sqrt(448)*3 + sqrt(448)))**2.
-96768*sqrt(7) + 2329488
Simplify 6*(3*((sqrt(65) - (sqrt(65) + (sqrt(65) - sqrt(65)*3)) - sqrt(65)) + sqrt(65))*3)/((sqrt(245) - sqrt(245)*-3)*-3).
-9*sqrt(13)/7
Simplify (-3*(3 + (sqrt(11) + (sqrt(11) + 1)*2 + -2*sqrt(704) - (sqrt(44)/(sqrt(4)*-2) + sqrt(99)*1))))**2.
-1395*sqrt(11) + 96039/4
Simplify ((-2 + 3*4*sqrt(108)/sqrt(6)*-4)*-6*-6*-3)**2.
6718464*sqrt(2) + 483776064
Simplify ((sqrt(300) + 0)*5 + -5 + ((sqrt(15) - sqrt(240))*-6)/(sqrt(180)*-2))*3.
-15 + 291*sqrt(3)/2
Simplify -1*-4*(-1*(sqrt(304) + 2 + -5 + sqrt(19)*2) + -3)**2.
2736
Simplify (sqrt(90)/(sqrt(441) + (sqrt(441) - 3*sqrt(441))))/((sqrt(288)*-3 + sqrt(288))*-5)*-4.
sqrt(5)/210
Simplify -3*(2 + 5 + (sqrt(1053)*-6)**2 + ((1*sqrt(1053)*2)**2 - -5*(sqrt(1053) + 2)**2)) + 3.
-142233 - 540*sqrt(13)
Simplify (1*(-4*(5*-1*sqrt(72) + sqrt(72)) + -2 + -2))**2*-1.
-18448 + 768*sqrt(2)
Simplify (sqrt(4114) + sqrt(4114) + 5*sqrt(4114)*5)/(sqrt(18)/(sqrt(9) + (sqrt(9) - sqrt(225)*3))).
-3861*sqrt(17)
Simplify 5 + (sqrt(196)/sqrt(7) + 4*sqrt(7) + 0 + (sqrt(56)/sqrt(72) - sqrt(252)/sqrt(4))*-4)**2.
17545/9
Simplify ((-3*2*sqrt(16) + sqrt(16))/(sqrt(512) + 2*sqrt(512)) + (3 + sqrt(98) - (sqrt(98) + -3*sqrt(98) + sqrt(98))))**2 + 3.
331*sqrt(2)/4 + 113017/288
Simplify (sqrt(84)/sqrt(3)*-3)/((sqrt(484)*-2 - sqrt(484)) + sqrt(484)) - (-5 + -5*(sqrt(700) + (sqrt(700) + sqrt(700)*1)**2)).
1103*sqrt(7)/22 + 14005
Simplify 4*(sqrt(162) + 4)*2 - (-1 + sqrt(32)*-5 + -3).
36 + 92*sqrt(2)
Simplify (-2 + (-6*sqrt(1215)*1)/(((sqrt(140)*-1)/sqrt(7))/sqrt(4)))**2.
-216*sqrt(3) + 8752
Simplify (sqrt(128)*-3*-5 + sqrt(128) + (sqrt(128) - -4*2*sqrt(128)) - (6*(sqrt(128) + 3) + sqrt(128) + (sqrt(128) - (sqrt(128) + 2)*3)))**2.
-3840*sqrt(2) + 51344
Simplify -4*(3 + sqrt(304) + sqrt(304) + 0 + -4)*-6*5*-4.
-3840*sqrt(19) + 480
Simplify (3*-1*(2 + sqrt(171) + 2 + sqrt(171))*-2 + 5)**2*-3.
-76395 - 6264*sqrt(19)
Simplify 1 + (-5*(sqrt(14) - (sqrt(14) + 1*sqrt(14)))*6)/(-2*sqrt(128)*3).
-5*sqrt(7)/8 + 1
Simplify -3 + ((sqrt(400) - (3*sqrt(400) - sqrt(400)))*-3)/(sqrt(160)/sqrt(5) - sqrt(288)*-2).
-3 + 15*sqrt(2)/14
Simplify 6*(-1 + 2 + sqrt(288) + -2 + sqrt(288) + -2 + sqrt(8) + 5)*5.
60 + 780*sqrt(2)
Simplify -6*(-6*-6*(((0 + sqrt(75) - sqrt(75)) + sqrt(75))*-6 + sqrt(75) + 2 + -4)*-2)**2.
-58444416 - 3110400*sqrt(3)
Simplify (3 + (sqrt(28)/sqrt(4) + 0 + -1*sqrt(63) - (2*sqrt(7056))/((sqrt(175) - (sqrt(175) + (sqrt(175)*-2 - sqrt(175)))) + sqrt(175))))**2.
-96*sqrt(7)/5 + 2017/25
Simplify -1*(-3 + -5 + sqrt(684) + sqrt(684)*2 + sqrt(684) + 3*-2*sqrt(684))**2*-3.
576*sqrt(19) + 8400
Simplify (3*(sqrt(600) - sqrt(600)*-1)*-2)/(sqrt(1452)*-1 - 4*sqrt(36)/sqrt(3)) + 3.
3 + 4*sqrt(2)
Simplify ((1*sqrt(768)*-3 - sqrt(768))*2)/((sqrt(40) - (sqrt(360) + sqrt(360)*-2))/(sqrt(810) - (sqrt(810) - sqrt(810)*-2))).
288*sqrt(3)
Simplify ((((sqrt(114)*-2 | {
"pile_set_name": "DM Mathematics"
} |
-0.5
c
Let o = -415 + 420. Let c = 0.01 - -1.99. What is the closest to c in 1/9, 0, o?
1/9
Suppose -2*c + 4 + 4 = 0. Let m(a) = a - c + 4. Let i be m(2). What is the nearest to -0.2 in -3, i, -2/5?
-2/5
Let x = 82 + -82.4. Which is the closest to 2/7? (a) x (b) -1 (c) 0.03
c
Let c = 33 + -38.2. Let w = 5 + c. What is the closest to w in 3/8, 0, -1?
0
Let i = 0.08 + 2.92. Let r = -1.9 - -2.1. Which is the closest to -1? (a) r (b) -0.5 (c) i
b
Let y be (2/(-12))/((-2)/(-3)). Let c = 0.5 - 0. Let o = -1 + c. What is the nearest to 0 in y, o, -2?
y
Let v = -1.1 + 0.1. Let c = -0.1 - 0.3. What is the nearest to 0 in v, c, 0.1?
0.1
Let o = -0.3 + 1.3. Let j = -0.039 - -0.039. Which is the nearest to j? (a) 3/5 (b) o (c) 4
a
Let q be 4/(-22) - 0 - 165/(-242). Let c = -38/7 - -176/35. What is the nearest to c in 4, 0, q?
0
Let x(i) = -i**3 - 7*i**2 - 4*i + 7. Let g be x(-6). Let f be ((-18)/(-135))/(1/(-3)). Which is the nearest to f? (a) g (b) -0.4 (c) 5
b
Let y = 4 + -3. Let m(w) be the first derivative of -w**4/4 - 5*w**3/3 + w**2/2 + 5*w + 3. Let j be m(-5). Which is the nearest to j? (a) -3 (b) -5 (c) y
c
Suppose 1550 = 2*i + 2*v, 4*i = 2*v + 2901 + 205. Let c = i + -28714/37. Let m = c - 56/333. What is the closest to 1 in m, -2, 0.4?
0.4
Suppose -8*q = -6*q + 8. What is the closest to 3 in -3, q, -0.5?
-0.5
Let z = -1.5 + 2.5. Which is the nearest to z? (a) -0.4 (b) -5 (c) -1
a
Let t = -6 + 2. Let p be ((-2)/9)/(t/(-6)). Which is the closest to -2? (a) -0.1 (b) p (c) -2
c
Let z = 3/41 - 91/123. What is the nearest to 3 in z, -1, 3?
3
Let g = -29 + 25. What is the closest to 1/2 in -2/9, -5, g?
-2/9
Let h = -0.3 + 0.6. Which is the nearest to -1? (a) -1/5 (b) -1 (c) h
b
Let d = 35 + -29. What is the closest to -2 in -2, -2/13, d?
-2
Let j = -0.1 + -3.9. Let z = 75 + -68.4. Let o = z - 7. Which is the closest to -2? (a) -5 (b) j (c) o
c
Let r = -21 + 23.5. Let j = 2 - r. What is the nearest to 1 in 2/9, 3, j?
2/9
Suppose 2*u = -9 + 7. What is the closest to u in -2/3, 5, 2?
-2/3
Suppose -3*h = h - 4*s - 20, -4 = s. What is the nearest to h in 0.5, 0.6, -3?
0.6
Let i = 2/43 - 96/215. Which is the closest to 0? (a) -1 (b) i (c) -0.2
c
Let y be 11 - 7 - 51*4/54. Which is the nearest to -2? (a) y (b) -3 (c) 0.4
b
Let v = -0.5 + 0. Let d = -3 - 1. Let w = 1 + -4. What is the closest to 2/7 in v, d, w?
v
Let m be (-4)/((-24)/(-5))*4/10. Which is the nearest to 1? (a) m (b) 2 (c) 2/7
c
Suppose -5*h - 304 = -3*h. Let i be (-27)/36 + (-98)/h. Which is the closest to 0.1? (a) -3 (b) 1 (c) i
c
Let j = -52.3 - -52. What is the closest to -1/3 in j, 2, -2?
j
Suppose 2*v + 1 = v. Let r be -1 - (0 - (5 + 0)). Suppose z - 3*f = -f, 0 = z + r*f. What is the nearest to 2 in v, -4, z?
z
Suppose -4*q + 18 = -p, 5*q - 17 = 4*p - 0*p. Suppose -i + p*i = -21. Let d be 30/i*1 - -2. What is the closest to 0 in -1/2, -3, d?
-1/2
Let x = -0.5 - -0.6. Let h = 629/4 - 158. What is the closest to x in h, -5, 2?
h
Let p = 88/7 + -76/7. Let z = p - 118/77. Let f(n) = -n + 3. Let q be f(2). What is the closest to q in 1, z, 0.3?
1
Let o(y) = y**2 + 2*y - 1. Let r be o(1). Let d = 0.222 + 0.178. Which is the closest to r? (a) -2 (b) d (c) 0
b
Let q = -144 + 717/5. Which is the closest to -2? (a) q (b) -2 (c) 4
b
Let l = -57 - -57.8. What is the nearest to 1/2 in 2, 1/6, l?
l
Let p = 178/5 + -36. Suppose -3*r = 5*j, -5*r = 2*j + 9 + 10. Suppose -3*i + j*h = -3, -5*i - 8 - 2 = -2*h. Which is the closest to p? (a) 0.1 (b) 0.3 (c) i
a
Let q = -6 - -1. Let c = 0.9 + -1. Let p = -0.1 - -0.6. What is the closest to c in p, 1, q?
p
Suppose -2*v - 6 = 4*k, -2*k + 5 = -3*v - 4*k. Let o be ((-9)/(-54))/(v/(-4)). Which is the closest to -1? (a) -1/5 (b) 2/15 (c) o
a
Let d = -78/11 - -212/33. What is the closest to -1 in -1, d, -2?
-1
Let n = -83 + 83.1. Which is the closest to n? (a) 2/3 (b) 2 (c) -29
a
Let d be ((-1)/(-14))/(3/(-12)). Let p = 39 + -25. Let o = -9 + p. Which is the nearest to d? (a) 1 (b) 0 (c) o
b
Suppose -5*j + 80 = 5*u, 2*u - 14 = 2*j + 2. Suppose 5*n = -4*r + 2*r - 15, -r - u = 4*n. What is the closest to r in -3, 2/11, -0.2?
2/11
Let z = 6 + -2. Let f = 0.2 + 0.3. What is the nearest to 1/4 in 3, z, f?
f
Let n(x) = x**3 + 4*x**2 + 5. Let o be n(-4). Let t be 4/16 - 4/8. Which is the closest to t? (a) 0 (b) -3 (c) o
a
Let t = -0.5 + 0.5. Let y be ((-18)/12)/(36/16). Which is the nearest to t? (a) y (b) 3/7 (c) -0.2
c
Let s = 0.019 + 0.981. What is the nearest to 0 in 0.2, -6, s?
0.2
Let f = 1.2 + -10.2. Let u = -9.2 - f. What is the closest to -2/5 in 0.3, u, 1?
u
Let t = 3.9 + 0.1. Let x = t - 4.3. Let m = 1.1 - -3.9. What is the nearest to -0.1 in 0, m, x?
0
Let d = 0.54 - 0.34. What is the closest to d in -0.2, 3/4, -3/2?
-0.2
Let v = 2 - 7. Let s = -5 + 5.9. Let l = -0.8 + s. Which is the nearest to l? (a) v (b) -4/5 (c) 4/7
c
Let s = 6 - 8. Let b = s + 4.9. Let v = b + -3. What is the nearest to -0.1 in v, 1, 0.4?
v
Let t = -4.16 - -0.16. Let i be -2 + -1 + (-7)/(-2). Which is the nearest to i? (a) -3 (b) t (c) 3/8
c
Let y = 2.8 - 3. Let b = -582 + 1748/3. What is the closest to b in 2/3, y, 2/5?
2/3
Let c = 113.2 + -113. What is the closest to -1 in -4, -0.3, c?
-0.3
Let k = 0 - -1. Let u = -41/4 + 10. Which is the nearest to k? (a) -4/5 (b) u (c) -0.2
c
Let i = 386/7 - 55. Suppose -4*x + 8*x - 8 = 0. What is the nearest to 2/7 in i, 0, x?
i
Let w = 10 - 15. Suppose 4*f = 2*b - 16, 8*b - 16 = 4*b. Let o = f + 2. What is the closest to o in w, 0.2, 0.3?
0.2
Suppose 0 + 3 = -3*y. Which is the nearest to -0.1? (a) 5 (b) y (c) 1
b
Let x = 1.4 - 1.53. Let u = x + 0.06. Let v = 2.07 + u. Which is the closest to -0.1? (a) 0 (b) 0.2 (c) v
a
Suppose p + 0 + 2 = 0. What is the closest to -1 in 0.1, p, 4?
p
Let u = 2.84 + -0.81. Let o = -0.03 + u. Which is the nearest to -0.1? (a) -3 (b) o (c) 0.5
c
Let y = 97/220 + -12/11. Let j = -1/4 - y. Which is the nearest to 0? (a) j (b) -0.3 (c) 3
b
Suppose 6 = s + 4. Let p be 3*(s - (-44)/(-20)). Let u = 5.3 - 5. What is the nearest to -1/3 in u, -5, p?
p
Let m be 1/(((-1)/(-9))/(-1)). Let f be 38/m + 2/9. What is the nearest to -1 in f, 0, 3?
0
Let o be 5/15*(-3)/(-4). Let h = -8 + 11. Let l = 41 + -370/9. Which is the nearest to o? (a) 0.2 (b) h (c) l
a
Let i be (-5 - -2)/((63/(-2))/(-7)). Which is the nearest to -1/3? (a) i (b) -0.5 (c) -2
b
Let f = 5 + -8. What is the nearest to -0.1 in f, 1, -3/4?
-3/4
Let o be (-3)/(-6) + (-25)/42. Let m be -1*(-19)/(-4) - -4. What is the nearest to -2 in -5/6, m, o?
-5/6
Let j = -217/3 + 72. Let r = -13/2 + 27/4. Which is the nearest to -11? (a) r (b) 3 (c) j
c
Let f = -1087/9 + 121. Let l = 0.2 - 0.3. Let w = -0.3 - l. Which is the nearest to 1? (a) w (b) -1/4 (c) f
c
Let n = 2 + 3. Let w = n - 3. Let t = -9 + 9.1. Which is the closest to t? (a) w (b) -1 (c) -5
b
Let g be 0*3/(-18)*3. Suppose 3*l = 4*h + 28, 4*h + 15 + 1 = g. Let b = -0.46 - -0.06. What is the closest to l in b, -1, -2?
b
Let w = -26 - -26.3. Which is the closest to -1? (a) 0.4 (b) -2/11 (c) w
b
Let g = 7 + -5. What is the closest to 1 in g, -0.2, -2/9?
g
Let h = 4.4 - 3.4. Which is the nearest to 0? (a) 4 (b) h (c) 1/4
c
Let d = -0.36 - 0.04. Let n be (-6)/21 - (-104)/(-28). What is the closest to -0.2 in d, 5, n?
d
Let g = 5.5 - -1.5. Let k = g - 15. Let n = 4 + k. Which is the nearest to -0.1? (a) -0.1 (b) n (c) 0
a
Let u = -1.6 - -1.4. Which is the nearest to 1/5? (a) 0 (b) u (c) 3/8
c
Let i = -0.01 - 0.02. Let y = -117/4 - -29. What is the nearest to 1 in -2, y, i?
i
Let t(f) = -f**2 - 5*f - 7. Let k be t(-3). Which is the closest to -3? (a) 1 (b) k (c) 5
b
Let r be -2 - (-13 - (1 + -4)). Suppose -5*l + 7 = -r. Which is the nearest to 0? (a) -1/2 (b) 5 (c) l
a
Let g = 0.7 + 2.3. Let s = 1678/91 - 128/7. What is the nearest to 0.1 in g, -0.2, s?
s
Let f = 0 + -4/7. Let i = 15 + -15.1. What is the nearest to 0 in 1, f, i?
i
Let o = -12.9 + 13. Let q = -6 - -3. Which is the nearest to 0.2? (a) o (b) -2/7 (c) q
a
Let j = 2.7 + 2.3. Which is the nearest to -1/3? (a) 2/17 (b) j (c) 2
a
Let i = -0.02 - 0.06. What is the closest to 0.1 in 3, i, -3?
i
Let q be (0 - -2) + 3/(-2). Let a = -28.8 - -29. Wha | {
"pile_set_name": "DM Mathematics"
} |
et q = b + 10. Let t be (q/2)/(2/48). Solve -4*s - u + t = 0, 2*s - u = -6*u - 12 for s.
4
Suppose 5*j + 12 = -h - 2*h, 3*h + 12 = 3*j. Solve -4*m + 2*u = -2*u, 5*m + u - 30 = j for m.
5
Let r = 148 + -146. Solve -2*c - 3 = r*m - 1, -3*c - 5*m - 13 = 0 for c.
4
Suppose -4*r = -y - 2*r + 30, 0 = -2*r - 6. Solve 0*m - 2*w = 4*m + 6, y = -m + 4*w for m.
-4
Suppose -x - 10*c + 2 = -7*c, 0 = -3*c - 3. Let n = 11 + -8. Let r be 2 - (-2 + -1)/n. Solve 2*i + r*i - 5 = 0, 0 = d - i + x for d.
-4
Let p(o) = -8*o**2 + 87*o + 13. Let q be p(11). Solve 2*d = 2*i + 10, 2*d = i - q + 9 for i.
-3
Suppose 3*k = 4*k - 3. Let y be 5*(-1)/(10/52). Let s = y - -27. Solve -3*j - x - 3 = 0, k*j + 2 = -4*x - s for j.
-1
Suppose -5*f - 5*y = -6*y - 8, -y = 4*f - 10. Let q(i) = i**2 - 10*i - 17. Let h be q(12). Solve 6*k + j - h = k, 0 = f*j + 6 for k.
2
Suppose 57*h + 7 = 58*h. Solve -2*s - 4*d = 0, -h = 3*s - 4*d - 27 for s.
4
Let w(b) = -2*b**3 - 25*b**2 + 15*b + 29. Let a be w(-13). Solve o = -a*o - 3*d + 4, 0 = -2*o - 3*d - 4 for o.
4
Suppose -y + 4*u + 124 = -0*u, -4*u = -2*y + 236. Let v = y + -99. Solve -5*m = 3*r - 28, m - v = -5*r - 3 for r.
1
Let t be (4 - 6)*(-5)/(-1). Let k = t + 18. Solve a = 5*x + 21 + k, 26 = -2*x + 4*a for x.
-5
Suppose 50 = 7*s + 36. Solve -20 = -4*z + 3*k, s*k - 4 = -5*z + 21 for z.
5
Let w be (3/2)/((-1)/28*-14). Solve -9 = -w*v, -l - 7*v + 16 = -2*v for l.
1
Suppose -3*p + 2 = -7. Suppose p*l - n = 4 + 7, 5*l - 17 = 3*n. Solve 24 = 4*i - 0*o + 4*o, 3*i - l*o = 11 for i.
5
Suppose 27*s = 30 + 24. Solve 3*q + 3*k + 14 = -4, q = 3*k + s for q.
-4
Let d(i) = -i**3 - 11*i**2 - 17*i + 12. Let h be d(-9). Suppose -4*w - 2*x = -4, 0 = 3*w + h*x - x - 1. Solve -2*s - w*v = -4, -11 = -4*v - 3 for s.
-1
Let r(v) = -2*v**2 + 13*v - 3. Let o be 9*4/24*4. Let f be r(o). Let y be (-9 - 3)*f/(-4). Solve -i + 4*i + 3 = -4*x, -y = -i + 2*x for i.
3
Let o(i) = i - 1. Let v be o(5). Let a be 2/v + (-1)/2. Let x be -1 + 5 + -1 + a. Solve -2 = 2*g - 4*g, 0 = -x*b + g - 4 for b.
-1
Let v(z) = -5*z**2 + z. Let x be v(1). Let u be (0/(-1))/(x - -2). Solve u = -s, 4*t + 30 = s + 10 for t.
-5
Let f(c) = -2*c**2 + 19*c + 15. Let p be f(9). Suppose 0*w + 2*w = 2*r + 68, -4*w = 3*r - 150. Solve -w = 5*i + 4*d, p = -5*i + 4*i - 5*d for i.
-4
Let m be (-1)/(24/25 + -1). Solve 0 = 5*h - t + 8 + 22, -2*h - m = -3*t for h.
-5
Let t be 28/(-4) + 14 + -5. Solve 6*f - r = 8*f - 4, 2*r = t*f + 2 for f.
1
Let w = 76 + -80. Let r be (12/w - -2)*-5. Solve 3*o = m - 9, 0 = 2*o + r*m - 8 + 31 for o.
-4
Let w(c) = c**3 - 5*c**2 - 6*c - 5. Let i be w(6). Let k be (-2)/5 - 12/i. Let f = k - -1. Solve 2 = -3*d + t, -f*t + 6*t - 20 = -5*d for d.
1
Suppose -2 = -m + 13. Suppose w - 3*a = -w + 21, m = -3*a. Let b be (0 + w)/(45/30). Solve b*v + q + 1 = -0*q, 2*v - 3 = 3*q for v.
0
Suppose -2*k = -3*f - 5*k + 48, -2*k + 2 = 0. Solve u = -5*v - 3, 0*v - f = -3*v + 5*u for v.
0
Suppose -249*d + 135 = -222*d. Solve 5*u - 12*p + 7*p = 10, -d*p = 2*u - 25 for u.
5
Suppose 6*m - 4*m = 5*y - 35, 15 = y - 2*m. Solve -3*o + 5*w = -10, -w + 30 = -2*o - y*w for o.
-5
Let z be ((-4)/(-8))/((-2)/(-8)). Let a be (2/(-4))/((-4)/56). Suppose a*i - 10*i = 0. Solve -z*g - 1 = -i*w - w, -3*w = g - 17 for w.
5
Let f(v) be the second derivative of -v**5/20 + 7*v**4/12 - v**3/6 - 27*v**2/2 - 17*v. Let g be f(6). Solve 9 = -3*i - g*x, -i - x = -6*x - 21 for i.
1
Let d = -178 + 185. Solve -5*q = -6*b + 2*b + d, 4*q = -4*b - 20 for b.
-2
Let h = -46 + 51. Suppose -h*a = -5 - 10. Solve -4*o - i + 20 = 0, 4*o + a*i - 4*i = 20 for o.
5
Let v(p) = p + 7. Let n be v(-4). Suppose -4*k - 5*j = -0*k + 25, n*j + 15 = -k. Solve c = 0, 3*c - 2 = -2*r - k*c for r.
1
Suppose -2*l + 5*o + 8 = 27, 3*o = -4*l + 27. Solve 5*w - 7 = l*w + 3*z, 2 = 4*w - 2*z for w.
-1
Suppose 3*g - a - 4 - 7 = 0, 12 = 2*g - 3*a. Suppose -5 - 10 = 5*j, 18 = 3*w - g*j. Suppose w*x - 28 = 23. Solve -8 + 1 = 2*d - r, 4*d - r = -x for d.
-5
Suppose -2*y - 20 = -3*c, -8 = -2*c + 5*y + 20. Let d be c - (0/(-2))/1. Solve 4*x - 13 = -3*l + 6*x, -d*l = 5*x - 2 for l.
3
Let k = 932 - 925. Solve 0 = -4*u + 2*d - 29 + k, 3*d - 15 = 0 for u.
-3
Let x(i) be the third derivative of -1/60*i**5 - i**3 + 9*i**2 - 7/24*i**4 + 0 + 0*i. Let z be x(-5). Solve -4*b - z*u = -16, 5*u = 2*b + 3*u + 12 for b.
-1
Let v = 16 - 23. Let t(g) = -g**2 - 7*g - 4. Let d be t(v). Let r be (-2)/(-1) - (3 + d). Solve -5*m + r*n + 5 = n, -4*m - 8 = -4*n for m.
3
Let o = 85 + -50. Suppose -4*d - 5*c + o = 0, -d - 2*c + 11 = -0*c. Suppose 2*p - 5 = 5. Solve n + 0*n - 5*r = d, 0 = 2*n + p*r + 20 for n.
-5
Let t(l) = -l**3 + 20*l**2 - 20*l + 19. Let m be t(19). Suppose 0 = -2*p - m*w + w + 12, 0 = 4*p + 2*w - 24. Solve k = -3*i + p, 0*i = -4*i - k + 7 for i.
1
Suppose 3*k - 31 = n + n, 10 = -5*n. Let z = k - 9. Suppose -5*l = -l. Solve q - 5*f - 15 = z, -f = -l + 3 for q.
0
Let l(w) = w**3 + w**2 + w - 1. Let d be l(1). Suppose d*m - 5 - 5 = 0. Solve k + 5*y = m, 5*k - 4*y = 3*k - 18 for k.
-5
Let w(c) = c**2 + 6*c - 12. Let l be w(-7). Let g be (-1 + 1)*(-1)/(-1) - l. Solve i = 3*t, i = -t + g*i - 11 for t.
1
Suppose -x = 6*j - j - 26, -4*j + 2*x = -18. Let s = 5 - 4. Let m be j + 0 + (2 - s). Solve -6 = -3*z + 5*n, -5*n = -m*z + 8*z - 4 for z.
2
Suppose 0 - 3 = -f. Suppose 2*v - x = 40, -v + 4*x = f*v - 88. Let z = -6 + 8. Solve -s - g = -6*g + v, 0 = -z*g + 6 for s.
-3
Let y(z) = -z**3 - z**2 + z + 8. Let s be y(0). Let f be 10/4*s/10. Suppose -2*b + f = -16. Solve -2*k + k - n + b = 0, -k + 4*n - 11 = 0 for k.
5
Let n = -19 - -25. Solve 4*u - 7 = 3*y, n*y = -4*u + y - 1 for u.
1
Suppose -2*w - 7 = -11. Suppose x - 5 = -2*x + 5*a, 5*a = w*x. Solve 0 = -2*z - 4*u + 26, -4*z = -0*z - x*u for z.
5
Suppose -n + 504 = 5*n. Suppose 0*a = -6*a + n. Solve 0 = -2*f + 4*q, -3*f + a = -5*q + 6*q for f.
4
Suppose 32*m - 57 = 103. Solve -3*y = -m*x + 17, 17 = 2*y + 3*x + 3 for y.
1
Suppose -2*o = -4*v + 9 + 19, -4*v = -3*o - 24. Solve -d + 0*z = 3*z + 9, -5*d = -3*z - v for d.
0
Let l(y) = y**3 - 39*y**2 + 77*y - 109. Let a be l(37). Solve -n + 5*z = -6 - 3, -a*z = 4*n - 14 for n.
4
Let x(v) = v**3 - 5*v**2 - 6*v + 3. Let p be x(6). Suppose 3*t = d, -4*d + 9*d - 19 = -4*t. Let m = 0 + 23. Solve -3*f + t = p*w - 8, w = -5*f + m for f.
5
Let n(k) = -k**2 + 69*k - 1188. Let j be n(33). Let i(p) = p**2 - 4*p - 7. Let r be i(6). Solve -r*y - 4*s + 11 = j, s - 8 = -4*y - 2*s for y.
-1
Suppose -5*c + 18 + 7 = 0. Suppose -2*k - 9 = c*x, 10 - 1 = 5*k + 2*x. Solve 6*l + 14 = -k*b + l, 4*b + l - 4 = 0 for b.
2
Let x be (-6)/(228/(-209)) + 3/(-2). Solve x*i = k, 3*i + 14 = -4*k - 5 for k.
-4
Suppose 2*u + 3*a - 2*a = 75, 4*a - 12 = 0. Suppose -2*s - 3*p = -p - 12, u = 3*s - 3*p. Let t = 14 - s. Solve -2*f + 2*i = 5*i - 9, t*f = 4*i + 11 for f.
3
Let b = -36 - -39. Suppose 20 = k + b*k. Solve -4*y - 7 + 27 = 0, -k*o = 2*y for o.
-2
Suppose k - 2*k = -i - 10, 5*k + 4*i - 23 = 0. Solve 5*a + 28 - k = 4*t, -a - 5 = -t for a.
-1
Let g = 15 - 16. Let l = g + -2. Let k be (2/l)/((-2)/15). Solve 2*x - 2*i = 0, -k*x + 5*i = -2*x + 6 for x.
3
Suppose -14*t - 8 = -13*t - 4*l, l - 19 = -4*t. Solve -4 = t*c - 2*c, 5*k + 4*c = -23 for k.
-3
Let b(x) be the second derivative of x**5/4 - x**4/12 + 2*x. Let f be b(1). Let i = 136 - 128. Solve -i = 4*w - 0*w + f*p, 0 = -3*w + 4*p + 15 for w.
1
Let p(q) be the second derivative of -2*q**3/3 + 81*q**2/2 + 17*q. Let o be p(19). Solve 2*n - 1 = -2*j + 5, o*j = 5*n + 15 for n.
0
Suppose -l - 6 = 2*g + l, 0 = -5*g - 4*l - 17. Let r = g - -7. Solve 3*h + 3*p - 2 = 7, -4 = -r*p for h.
1
Let m = -20 - -19. Suppose -5*y - 4 = 3*i + 6, -5*y + 2*i + 15 = 0. Let o be (1 - y)/(-2 - m). Solve o = -5*l + 3*f + 9, 0 = -2*l - 4*f + 7*f + 9 for l.
0
Let r = 360 - 355. Solve -r*u + u + 2 = 5*y, -4*u = -5*y - 22 for y.
-2
Suppose 0 = -6*k + 7*k - 3. Suppose -3*a = -0*a + k, 3*a - 32 = -5*u. Solve u*q - 3*q - 10 = 5*p, q = -4*p + 13 for q.
5
Suppose -5*n + 5*u = -60, -2*u = 4*n + u - 34. Solve 4*v - r + 19 = -0, -3*v - n = -5*r for v.
-5
Let p = 170 + -169. Solve -b - 4*g - 15 = 0, 0 = 2*b - 5*g + p - 10 for b.
-3
Let j be -1 + -22*(-15)/10. Let g be 1/(-5) + j/10. Solve -1 = o, -3*b + g*o - 5 = -o for b.
-3
Suppose 23*v = 17*v + 30. Solve -3*m - 2*w - 10 = 0, -v*w - 1 = -6 for m.
-4
Let x(j | {
"pile_set_name": "DM Mathematics"
} |
.0218. Which is the biggest value? (a) -10 (b) n (c) 0.08 (d) 5
d
Let u = -18.5 + -10.5. Let m = 101.2 + -130. Let n = u - m. Which is the smallest value? (a) 2/13 (b) n (c) 4
b
Suppose 4*x + 18 = -2*n - 2, 5*n - 4*x = -8. Let m be 4 + (-1128)/273 + (-24)/(-84). Which is the third smallest value? (a) -2/11 (b) m (c) -3 (d) n
a
Let w = 1 + -4. Let r be (-4)/(-14) + (-1)/28. Suppose 0 = 16*k - 260 + 276. What is the second smallest value in k, w, r?
k
Let n = 13.9 - 13.5. Which is the fourth smallest value? (a) 3 (b) -3 (c) -0.7 (d) n
a
Let z = 15/2 + -7. Let f be -8*-45*(-3)/(-6). Let k be 3 - 6/20*f/24. What is the third biggest value in z, k, 1/4?
1/4
Let g = 0.32 + 0.18. Let s = 3.4 - 3. Let k = s - 0.9. What is the second biggest value in 0, g, k?
0
Let g(k) = 2*k + 16. Let b be g(-9). What is the smallest value in b, 0.5, -16?
-16
Let k = 2786.7 + -2787. Let z = 0.05 + -2.05. Let m = 1.91 + z. What is the second biggest value in m, k, -0.1?
-0.1
Let y(n) = 52*n + 50. Let w be y(-1). Which is the third biggest value? (a) w (b) 0.45 (c) 0.01
a
Let n = 0.44 + 3.56. Which is the biggest value? (a) 3 (b) -13 (c) n
c
Let i = 32 + -22.2. Let w = -9.8 + i. What is the second smallest value in -5, -4, -1.4, w?
-4
Let y = 2.7 + -0.7. Let g = -0.3 - -11.3. Let u = 11.4 - g. Which is the third biggest value? (a) y (b) u (c) -2
c
Let a = -1832/15 - -122. What is the third biggest value in -0.3, -20/7, a, -5?
-20/7
Let v = -13 + 16. Suppose 2*o - v = o. Suppose n - 4 = -2*d - 2*d, o*n - 4 = -4*d. Which is the smallest value? (a) 5 (b) 4 (c) d
c
Let f be 15/(-9) - 2/(-18)*-3. Let s be 4/8 - (105/(-66) - f). What is the third smallest value in 2/7, s, 1/2, 5?
1/2
Let j(r) = -r**2 + 5*r - 4. Let g be j(3). Let o be g*-2*18/24. What is the smallest value in -0.1, 0, o, -2/17?
o
Let d = -313 + 309. Let z be -1 + 1 + 2/(-6). What is the biggest value in z, 0.5, d, 0.4?
0.5
Let x = -0.92 + 1.7. Let s = -2.8 + 3.02. Let i = s + x. What is the biggest value in 1.4, -0.1, i?
1.4
Let n = 15 + -15.7. Let t = -112 - -112.9. Let v = t + n. What is the third smallest value in -1, v, 5?
5
Let i(r) = 21*r - 106. Let g be i(5). What is the smallest value in 11/3, g, 6/7?
g
Let s = -183 - -911/5. What is the third biggest value in s, 1/4, -1?
-1
Let f(l) be the first derivative of -l**4/4 + 8*l**3/3 - 6*l**2 + 24*l + 13. Let i be f(7). Which is the third smallest value? (a) -1/3 (b) 0 (c) 0.2 (d) i
b
Let l(j) = 9*j + 8 + 3*j + 2*j**2 - 6. Let w be l(-6). Let m be w - 6/3*-1. Which is the smallest value? (a) -2/7 (b) -3 (c) m
b
Let q be (53/(-318))/(2/30). Which is the smallest value? (a) -3 (b) -0.4 (c) -13 (d) q
c
Let v = -3 + 4.7. Let k = v - 1.9. Which is the third biggest value? (a) 0 (b) 2/9 (c) k
c
Let f = -0.358 + -0.042. What is the biggest value in -4/3, -1/6, 0, f?
0
Let u = 11.6 + -11.72. Let s = -0.08 + u. Let z be 8/12 - 23/21. Which is the biggest value? (a) s (b) z (c) 5
c
Let w be 6/(-15) + (46/(-10) - -3). Let t = -10 - -9.79. Let x = t + 0.01. What is the second biggest value in 0, w, x?
x
Let h = 56/9 + -32/9. Let o = -37/15 + h. Which is the biggest value? (a) 11 (b) -0.3 (c) o
a
Let i = 2191 + -2190.6. What is the third biggest value in -2/13, 18, i, -4/5?
-2/13
Let t be -5*(-3)/180*(-45)/(-10). Which is the biggest value? (a) t (b) -0.2 (c) -48 (d) 3
d
Let v = 9 - 5. Suppose 4*d = 2*u - 2, 4*d + v*u + 2 - 18 = 0. Let x = 3.52 + -1.52. What is the second smallest value in d, x, 1/3?
d
Let n be 4/10 + 120/200. Which is the third biggest value? (a) 2/5 (b) n (c) -2/91
c
Suppose d + 8 = -3*d. Let n = 0.334 - 0.734. Which is the second biggest value? (a) 0.02 (b) n (c) d
b
Suppose 2*q - 6*q = 0. Suppose -5*x + q*i - 3 = 4*i, 2*i = 3*x - 7. What is the second smallest value in -1/5, x, -1?
-1/5
Let m = -281.5 + 282. Which is the fourth biggest value? (a) -1.3 (b) m (c) -1 (d) -2/5
a
Let v = -1.026 + 1.426. Which is the fourth biggest value? (a) -3/7 (b) v (c) 1.2 (d) 0.01
a
Let f = -10 + 6. Let k be 3 + (4/(-6) - 2/6). Which is the biggest value? (a) f (b) 3 (c) k
b
Let t = -8 - -6. Let m = 520 - 520.4. Which is the second biggest value? (a) -8 (b) m (c) t
c
Let n = 14.423 + -0.323. Let f = n - -2.9. Let p = -17 + f. Which is the smallest value? (a) -0.4 (b) 0.5 (c) p
a
Let y = -3/7 + -1/14. Let o = 957.3 - 957. Let v = -3 + 3.5. What is the third smallest value in y, v, o?
v
Let r = 1.77 + -4.77. Let i = -6 - -5.4. Let w = i + 0.8. Which is the third smallest value? (a) 1/6 (b) w (c) r
b
Let t = -43.23 + 43.33. Let u = -6 + 3. Which is the third biggest value? (a) -2/7 (b) u (c) t
b
Let t be 10/(-2) + -6*(-110)/60. What is the third biggest value in -3, t, -2?
-3
Suppose -2*s = k - s - 3, -37 = -3*k + 4*s. Let g be (-1)/(k/6*2). Let t be ((-18)/(-27))/(7/3). Which is the second biggest value? (a) t (b) g (c) 0.1
c
Let l be 12/54 - 2/6. Let y = 0.81 - -0.19. What is the biggest value in y, 2, l, 0?
2
Let u = 0.06428 - 0.46428. Suppose -2*t - 5 = 3*n, -5*n + 2*t = t + 17. What is the third smallest value in n, 3, u?
3
Let o = -52/171 - 5/171. Which is the biggest value? (a) 0.6 (b) -5 (c) o (d) -3
a
Let w be (4*(455/(-150) + 3))/6. What is the second biggest value in -0.1, w, -5?
-0.1
Let q = -1 - 5. Let p = 6.9 + q. Let l = p - 1.3. What is the smallest value in 4, l, 0?
l
Let m = -161 + 161.1. Let u = -7 - -3. Let j = -5 - u. Which is the second biggest value? (a) 2/5 (b) m (c) j
b
Let a = 36.2 + -36.3. What is the third biggest value in a, -0.02, -0.06?
a
Let h(s) = 3*s**2 + 1. Let a be h(-1). Let x(r) = 2*r - 3. Let i be x(a). Let b be (-16)/6*(0 + 6/24). What is the smallest value in i, -2, b?
-2
Let q = -2 - -7. Let j = 34 - 33. Let m = 3 - j. Which is the second biggest value? (a) m (b) 0 (c) q
a
Suppose 3*l = 5*p + 7 + 1, 0 = 2*p - l + 3. What is the fourth biggest value in p, 18, 1/5, -2?
-2
Let y(z) = -2*z**2 - 11*z + 5. Let b be y(5). Let k be (-1 - 39/(-12))/((-15)/b). What is the biggest value in k, -0.4, 2/7?
k
Let u = -36.8 - -41. Let n = 2.2 - u. Let o = 0.06 + -0.46. Which is the smallest value? (a) n (b) 0.4 (c) o
a
Let n = -0.088 - 0.412. Which is the smallest value? (a) 12/13 (b) n (c) 0
b
Let h = -453 - -452.8. Which is the second biggest value? (a) -0.1 (b) 2/3 (c) -2/9 (d) h
a
Let p = 162/5 - 977/30. Let d = 352/5 - 70. Which is the third smallest value? (a) d (b) 3 (c) p
b
Let g = -1 + -1. Suppose -45*l + 39*l - 6 = 0. Which is the third biggest value? (a) g (b) -2/5 (c) l (d) -5
a
Let v = -1643 - -11505/7. What is the third biggest value in -2.6, 2/3, 4, v?
v
Let s = 0.4824 - 0.0824. Which is the fourth smallest value? (a) s (b) -173 (c) -2/15 (d) -0.5
a
Let p = 6/29 - 158/203. Suppose 8 + 12 = 5*t. Suppose -5*k + t*u + 10 = 0, 2*u + 2 + 4 = 2*k. What is the third smallest value in p, -3/4, k?
p
Let x = -0.067 + 3.067. Let m = -0.63 - 2.37. Which is the biggest value? (a) -2 (b) m (c) x (d) 0.5
c
Let s(t) = -t**2 + 16*t + 12. Let g be s(16). Let x be g/30 + (-6)/(-135). Let h = 0.1 + -0.05. What is the second smallest value in 2/9, h, x?
2/9
Let v = -12572 - -12574. Let g = -1.3 - -0.3. Which is the second smallest value? (a) v (b) g (c) -0.2 (d) 2/15
c
Let h = 50.7 + -53. Let f = 2.7 + h. Which is the second biggest value? (a) -5/4 (b) f (c) 2
b
Let m = 11/3 + -127/33. What is the biggest value in m, -49, -4?
m
Let n = -39 - -44. What is the second biggest value in 0.4, 0.91, n?
0.91
Let q be 8/20 + 58/(-70). Let d = -1.4 + 1.6. What is the third biggest value in -2/5, q, d?
q
Let i = -848 + 5938/7. What is the third biggest value in 1/2, 4/43, i?
4/43
Let z = -1214 - -1215. What is the fourth smallest value in 2, z, -7, -8?
2
Suppose -4*z + 28 = 4*g, -g + 2*z = -0 + 8. What is the smallest value in -2/3, 0.1, g, -0.2?
-2/3
Let n = -0.62 + 0.63. Which is the biggest value? (a) 4 (b) n (c) -80
a
Let k = -15243/7 + 2178. Let j = -0.038 - 44.962. Which is the third biggest value? (a) k (b) -0.5 (c) j
c
Let h = -1.5 + 1. Let p be 6*(249/5)/(-3). Let s = p - -100. Which is the second smallest value? (a) s (b) h (c) 0
c
Let b be (-12)/24*(-1 + 1 + 2). Let z = -0.5 + 0.48. Let w = -0.28 + z. What is th | {
"pile_set_name": "DM Mathematics"
} |
-4*p - 3*p + 2*p = 5*p - 120 for p.
12
Solve -53*l - 277*l + 4829 - 40469 = 0 for l.
-108
Solve 0 = 151*o + 5566 - 734 for o.
-32
Solve -815 + 1541 + 4328 + 1758 = -131*v for v.
-52
Solve 113490*x - 113554*x - 69 + 5 = 0 for x.
-1
Solve 6323 + 6181 = -38*w - 413*w - 70*w for w.
-24
Solve 273*j - 427*j + 2337 = -195*j for j.
-57
Solve 156*c - 258*c + 152*c - 475 = -45*c for c.
5
Solve 2873 = -131*g - 1188 for g.
-31
Solve 0 = 5972*u - 5924*u - 240 for u.
5
Solve 47*z = -305*z - 9075 - 32461 for z.
-118
Solve 31266 = -585*l - 29011 + 4117 for l.
-96
Solve 2216552*x + 1175 = 2216599*x for x.
25
Solve -4110*k + 10598 + 137362 = 0 for k.
36
Solve 3233 = -426*z - 6501 - 2657 - 2519 for z.
-35
Solve 253*l = -824 - 583 + 395 for l.
-4
Solve 167*u - 369*u - 877*u - 52871 = 0 for u.
-49
Solve 85*x + 715*x + 5334 + 5866 = 0 for x.
-14
Solve 98*a + 1025 - 573 + 1410 = 0 for a.
-19
Solve 0 = 2785*r + 1889*r + 6547*r - 60354 + 722393 for r.
-59
Solve -7929*x + 286499 = -387466 for x.
85
Solve 36229 + 30796 = -1024*c + 8530 - 897 for c.
-58
Solve 0 = -834*u + 407*u + 541*u for u.
0
Solve -11509 = -9021*q + 9708*q + 8542 + 1933 for q.
-32
Solve 14*h = 225*h + 272 + 150 for h.
-2
Solve -6439*x + 377600 - 15993 - 82970 = -159215 for x.
68
Solve -130046 = -194*l - 139940 for l.
-51
Solve -577*u - 3178 = -512*u + 267 for u.
-53
Solve -28406 + 16961 = -1393*p + 76274 + 71083 for p.
114
Solve -1146*x - 1447*x = -855*x - 52140 for x.
30
Solve 2383*o - 731*o + 2186*o - 56380 = 74112 for o.
34
Solve 355*v + 4435 - 15155 = -315*v for v.
16
Solve 89*a - 82*a - 5244 = 67*a + 54*a for a.
-46
Solve -563*w - 6894 = 1267*w - 467*w + 9462 for w.
-12
Solve -1023*g - 3034*g + 57750 = -29*g + 17470 for g.
10
Solve -175*r + 4912764 = 4915739 for r.
-17
Solve -64 = 219*k - 237*k - 351 - 469 for k.
-42
Solve 65*q + 625 = -1108 - 108 - 1539 for q.
-52
Solve 124*r + 48*r + 1670 = 5*r for r.
-10
Solve 0 = 7*j + 51660 - 51856 for j.
28
Solve 456*m - 14175 = -495 for m.
30
Solve -737*a + 5130 = -547*a for a.
27
Solve 64*w + 100*w = 68*w - 3151 - 2321 for w.
-57
Solve 1163*c + 44660 = 351*c for c.
-55
Solve -1230*w + 1232*w + 1 + 61 = 0 for w.
-31
Solve -153*p - 865*p + 47327 = 1517 for p.
45
Solve 390*g + 7607 = -319*g - 48230 - 5137 for g.
-86
Solve -132*t - 81998 = -77510 for t.
-34
Solve 66*a - 263*a + 2361*a - 227220 = 0 for a.
105
Solve 6715*m = -6726*m + 20142*m - 6723*m - 154 for m.
-7
Solve -227521 = 4036*n - 29757 for n.
-49
Solve -264*u + 26312 = 353*u - 45*u for u.
46
Solve -366*m = 165*m + 917*m + 31856 for m.
-22
Solve -3775557*y + 3775470*y = -11484 for y.
132
Solve -1806*r = -94281 - 6855 for r.
56
Solve 13*j + 93*j + 6897 = -37*j + 22*j for j.
-57
Solve 0 = -26*z - 26735319 + 26734721 for z.
-23
Solve -315*t + 336*t = 988*t - 47383 for t.
49
Solve -148*u - 405 = 139*u + 132*u - 428*u for u.
45
Solve 0 = 95*c + 39*c - 8017 + 245 for c.
58
Solve 537*y = 3010*y + 250716 + 23787 for y.
-111
Solve -13582*w - 105825 - 399003 = -1010*w - 77380 for w.
-34
Solve -28*r - 21*r - 13*r + 7191 - 743 = 0 for r.
104
Solve -7453 = 667*n - 19331 - 16136 for n.
42
Solve 45*d + 258066 = -2734*d - 3024*d + 1429*d for d.
-59
Solve 256*h = 409*h + 384*h + 19869 for h.
-37
Solve -78*g - 1685 - 1475 = -138*g + 139*g for g.
-40
Solve 1438*g - 313131 = -58*g - 1945*g for g.
91
Solve 0 = -1137506*l + 1137491*l + 720 for l.
48
Solve 6229*l - 518259 = -2261*l + 235794 + 52497 for l.
95
Solve 0 = 439*z + 7382 + 3941 + 3999 + 12335 for z.
-63
Solve 20253*u = 20186*u - 3121 - 1770 for u.
-73
Solve 507581*o - 507655*o = -5180 for o.
70
Solve 34*t + 15*t - 8*t + 28*t = -33*t for t.
0
Solve 232*n - 1058 = 2943 - 57 for n.
17
Solve 690*t + 1476 = 783*t + 2392 + 6803 for t.
-83
Solve -48*n + 4447 + 7032 - 3863 = 64*n for n.
68
Solve -17019*n + 98505 - 93031 = -82610 - 201239 for n.
17
Solve 1363494*w - 1363509*w + 705 = 0 for w.
47
Solve 9103 = -181*d + 2768 for d.
-35
Solve -10686 - 7225 - 9221 = -969*x for x.
28
Solve 2769*q + 3035*q + 55045 + 659765 = -4886 for q.
-124
Solve 945 = -757*n + 38795 for n.
50
Solve -1064*x = -508*x - 528*x - 504 for x.
18
Solve -29922*g + 59824*g - 29936*g = 2890 for g.
-85
Solve -16659 + 15438 = 386*f - 8086 - 44859 for f.
134
Solve -392*v - 7010 + 14850 = 0 for v.
20
Solve -28602*b + 7800 = -28527*b for b.
104
Solve 401*r - 5113 - 669 = 17290 - 215 for r.
57
Solve 59*u - 81*u = 52*u + 98*u - 7224 for u.
42
Solve 989*g - 291300 = 805*g + 3097*g for g.
-100
Solve 488*r + 1019 = 1445*r - 2809 for r.
4
Solve 101*d - 15561 = 32*d - 64*d for d.
117
Solve -22*j - 257 = 489 + 682 - 1010 for j.
-19
Solve -286*m - 336*m = 144*m - 165*m + 7813 for m.
-13
Solve 10*i - 1449 = 16*i - 48*i - 27*i for i.
21
Solve -1414*t - 1372 - 9860 - 6810 - 41346 = 0 for t.
-42
Solve 89*p + 42*p = 10*p + 3*p + 2832 for p.
24
Solve -100589 - 33519 = 2579*a for a.
-52
Solve -408*y + 32051 = 74075 for y.
-103
Solve 837 = 1308*j - 34479 for j.
27
Solve 227*q = -150*q - 4755 + 22474 for q.
47
Solve -7815 - 3399 = 896*f + 2589 + 17557 for f.
-35
Solve 1337*k + 11825 - 107328 = 40871 for k.
102
Solve 0 = 57*v + 4549 - 3124 for v.
-25
Solve 209*d - 27472 = -9080 for d.
88
Solve -16*x - 1700 = 94*x + 60*x for x.
-10
Solve 0 = 484*r - 6777 - 3387 for r.
21
Solve 28956 = -357*k - 405*k for k.
-38
Solve -8464*s - 1058*s = -1906*s - 213248 for s.
28
Solve -6812 = 24*x + 90*x - 998 for x.
-51
Solve -29*u + 118 + 64 = -2*u - 142 for u.
12
Solve 1528*g - 21050 = 47710 for g.
45
Solve 234*y - 1413 = -607 + 1051 + 249 for y.
9
Solve -388*q + 14128 + 7373 = -35*q + 4557 for q.
48
Solve -4495 = 15414*z - 15538*z + 8401 for z.
104
Solve 20163 = -878*j + 7871 for j.
-14
Solve 8911 = -52*m + 9431 for m.
10
Solve 2305 = -185*k + 2490 for k.
1
Solve -572*b - 434*b + 48343 = 26670 - 42711 for b.
64
Solve 19199 - 19839 = -20*h for h.
32
Solve 46603 = -1202*f - 15901 for f.
-52
Solve -79*b - 421 - 2379 = -254*b for b.
16
Solve 7*n - 306 - 330 = -91*n - 146 for n.
5
Solve 30584 - 13935 = -2012*s - 39687 for s.
-28
Solve -251560*z + 251132*z = -32528 for z.
76
Solve -1401*b - 1447 = -2 - 2730 - 4319 for b.
4
Solve -11581 = 11244*k - 10930*k - 3417 for k.
-26
Solve 0 = -686*b + 39*b - 20596 + 8303 for b.
-19
Solve -4382*a = -1312*a + 3070 for a.
-1
Solve 18 = 6*o + 86 - 11 + 75 for o.
-22
Solve 2216882 - 2221250 = 42*m for m.
-104
Solve 58230 = -1877*f - 64*f for f.
-30
Solve 395 + 36 = 49*j - 393 - 1185 for j.
41
Solve -723370*i = -723419*i - 1078 for i.
-22
Solve -56*c - 38*c = -534 - 1346 for c.
20
Solve -1505*g - 99798 = -25497 + 11534 + 39080 for g.
-83
Solve -497*i - 374*i - 12540 = -739*i for i.
-95
Solve 154*n + 1698*n - 24344 + 4239 = 16935 for n.
20
Solve 142637 = 264*s - 2791*s - 54469 for s.
-78
Solve 65*j + 13425 = -529*j + 57*j for j.
-25
Solve 780*d + 673*d - 21441 - 64431 = -336*d for d.
48
Solve -231*w + 3918 - 9508 = 9425 for w.
-65
Solve -77547 + 8646 = 1572*o + 65658 - 8799 for o.
-80
Solve -139*d - 163975 + 157720 = 0 for d.
-45
Solve 96848*y - 2907 = 96905*y for y.
-51
Solve -488 - 3489 = 97*u for u.
-41
Solve -376*i - 239*i = -1829*i - 84980 for i.
-70
Solve -41*d - 155*d = 28*d - 18*d - 8652 for d.
42
Solve 1586 + 1009 + 69 - 688 = -38*y for y.
-52
Solve -498 - 6180 - 4890 = -994*w + 11294 for w.
23
Solve -3160070 = 86*v - 3151728 for v.
-97
Solve -758*q + 1017 = -968 - 161 + 630 for q.
2
Solve 190*h - 2868 = -210*h - 78*h for h.
6
Solve 3286*g + 50896 = -63537 - 64440 + 17859 for g.
-49
Solve 5078*a + 168 = 5246*a for a.
1
Solve -322*x + 219*x = -117*x + 234 + 522 for x.
54
Solve -3387*b + 78578 = -60289 for b.
41
Solve 205539 = -249*l + 216495 for l.
44
Solve 215*t - 2500 = -7015 for t.
-21
Solve 323*g - 670*g = -332*g - 15 for g.
1
Solve 4795 - 26453 = -450*u + 9392 for u.
69
Solve -1584*j + 3712*j = 1841*j - 10332 for j.
-36
Solve 0 = -1408*u - 14431 + 351 for u.
-10
Solve 1567*g + 463*g + 133672 + 2338 = 0 for g.
-67
Solve -603 - 229 = -84*d + 1097 + 171 for d.
25
Solve 0 = -8391*p + 367428 + 807312 for p.
140
Solve -732*n - 829*n + 59338 = -23605 - 10717 for n.
60
Solve -309*d + 328*d = -863*d - 16758 for d.
-19
Solve -46068*w = -46031*w - 1258 for w.
34
Solve 848*f + 53968 - 18463 = 59*f for f.
-45
Solve -74*w + 34529 = -249*w + 24904 for w.
-55
Solve -196*r - 84 = 626 + 3014 for r.
-19
Solve -520 | {
"pile_set_name": "DM Mathematics"
} |
6779*u**2 - 64*u - 45*u - 3388*u**2 - 3390*u**2.
(u - 107)*(u - 2)
Let g(r) = -405*r + 73308. Let f be g(181). Determine t, given that -9/4*t**5 - 12*t**4 + 9/2*t**2 + 6 + 21*t - 69/4*t**f = 0.
-2, -1/3, 1
Suppose -m + 24 = 4*n, -10 + 22 = 4*n - 2*m. Factor -7/6*h**n + 0*h - 5*h**4 - 6*h**3 + 0 - 4/3*h**2.
-h**2*(h + 2)**2*(7*h + 2)/6
Let j(o) be the second derivative of o**6/15 - 11*o**5/2 - 28*o**4/3 - 642*o. Determine a, given that j(a) = 0.
-1, 0, 56
Suppose 2*g + 3*g = -5*y + 350, y - g - 66 = 0. Factor 4*w**4 - 8*w**4 + y*w - 156*w**2 + 112*w + 44*w**3.
-4*w*(w - 5)*(w - 3)**2
Let g(f) be the first derivative of -f**6/6 - 9*f**5/5 + 35*f**4/4 - 5*f**3 - 17*f**2 + 24*f - 2173. What is q in g(q) = 0?
-12, -1, 1, 2
Let x(u) be the third derivative of -3*u + 0*u**3 + 0 - 1/24*u**4 - 1/45*u**5 + 11*u**2 - 1/360*u**6. Determine y so that x(y) = 0.
-3, -1, 0
Let w(d) be the first derivative of d**6/30 - 2*d**5/15 - 21*d**2/2 + 2*d + 71. Let b(t) be the second derivative of w(t). Determine i so that b(i) = 0.
0, 2
Let v(g) be the second derivative of g**6/105 - 27*g**5/35 - 233*g**4/42 + 18*g**3/7 + 232*g**2/7 + 5880*g - 1. Let v(j) = 0. What is j?
-4, -1, 1, 58
Let u(c) be the first derivative of c**4/8 - 277*c**3/6 + 551*c**2/4 - 275*c/2 - 10577. Factor u(k).
(k - 275)*(k - 1)**2/2
Let o be 286/(-6) + 5/(-30)*-4. Let c = -45 - o. Determine d, given that -c*d**2 + d**2 + 3*d - d**2 - 4*d**3 + d**5 + 2 = 0.
-1, 1, 2
Let z(k) be the second derivative of k**4/24 - 2*k**3 + 35*k**2 + 1106*k. Factor z(q).
(q - 14)*(q - 10)/2
Let l(u) be the second derivative of -u**7/630 - 47*u**2 + 51*u. Let p(w) be the first derivative of l(w). Factor p(k).
-k**4/3
Factor 5*p**3 - 6495 - 565*p**2 + 4878 - 14063 + 2942*p + 13298*p.
5*(p - 56)**2*(p - 1)
Factor -j**2 - 2724*j - 408804 + 218537 - 428081 - 2*j**2.
-3*(j + 454)**2
Let m(t) = -25*t**2 - 435*t + 5810. Let y(u) = 17*u**2 + 290*u - 3872. Let x(a) = -7*m(a) - 10*y(a). Factor x(r).
5*(r - 10)*(r + 39)
Suppose 3 - 5 = -2*z, 4*z + 92 = 4*a. Suppose 4*r + 13 = -5*j, -4*r + r + 3*j + a = 0. Factor -2*d**3 - 63*d**2 - d**r + 3645 + 198*d**2 - 2*d**3 - 1215*d.
-5*(d - 9)**3
Let r(z) = z**3 - 10*z**2 + 4*z + 54. Let d be r(9). Suppose -2*i**3 - 18 + 16 + 2*i**2 + 11*i - d*i = 0. What is i?
-1, 1
Let c be (1620/(-360))/(-1*(21/(-6) + 5)). Solve -32*y - 48 - 4/3*y**c + 44/3*y**2 = 0 for y.
-1, 6
Let q(a) be the first derivative of -2*a**3/27 - 52*a**2/9 - 70*a + 4613. Factor q(i).
-2*(i + 7)*(i + 45)/9
Let c(y) = y + 2. Let b(g) = -5*g - 14. Let p be b(-3). Let m be c(p). Factor -13*q**m + 3*q**4 - 4*q**4 + 8*q**2 + 10*q**3 - 4*q**2.
-q**2*(q - 1)*(q + 4)
Factor -409*x**2 + 430 - 440*x - 1326*x**2 - 206*x - 20*x**3 - 639*x.
-5*(x + 1)*(x + 86)*(4*x - 1)
Let r(u) be the second derivative of u**4/24 - 377*u**3/4 + 565*u**2/2 - 290*u + 5. Let r(w) = 0. Calculate w.
1, 1130
Let i(c) = -16*c**3 - 10*c**2 + 12*c. Let o(u) be the third derivative of u**6/20 + u**5/20 - u**4/6 - 3*u**2 + 3. Let n(j) = 5*i(j) + 14*o(j). Factor n(s).
4*s*(s - 1)**2
Determine o so that 16/3*o**3 + 1/6*o**5 + 3*o**4 - 11/2*o - 1/3*o**2 - 8/3 = 0.
-16, -1, 1
Suppose 4*o - 2*o - 144 = -4*p, 168 = 2*o - 4*p. Find x such that -50*x**4 + 260*x**2 - 222*x**3 - 2*x**5 + o*x**2 - 64*x**3 = 0.
-13, 0, 1
Let q(l) be the first derivative of -l**5/20 + l**4/2 - 2*l**3 + 4*l**2 + 52*l - 38. Let r(z) be the first derivative of q(z). Factor r(m).
-(m - 2)**3
Let s(p) be the second derivative of -121*p**5/40 - 341*p**4/12 + 65*p**3/3 - 6*p**2 - 433*p. Factor s(h).
-(h + 6)*(11*h - 2)**2/2
Let c(q) be the second derivative of -9*q**5/40 - 13*q**4/2 - 16*q**3 + 56*q - 4. Factor c(x).
-3*x*(x + 16)*(3*x + 4)/2
Let p(v) be the second derivative of -v**4/16 - 73*v**3/8 - 207*v**2/2 + 1065*v. Factor p(c).
-3*(c + 4)*(c + 69)/4
Let r be (-14)/14 + (-3 - -8) - 0. Let 3*t**4 - 21*t**3 + 60 + 4*t - 62 - 29*t**2 - 12*t - 7*t - 8*t**r = 0. Calculate t.
-2, -1, -1/5
Factor -1/8*p**2 + 61/2*p - 723/8.
-(p - 241)*(p - 3)/8
Let p = -416 - -335. Let x be -2*(2 - p/(-48))*-4. Let x + 5/4*h**2 - 15/4*h = 0. Calculate h.
1, 2
Let i(m) = m**2 - 19*m + 6. Let j be i(21). Suppose 5*x = -5*r, -x - j*r + 43*r = 0. Factor -2*p + x - p**3 + 51/7*p**2.
-p*(p - 7)*(7*p - 2)/7
Let i(g) be the second derivative of 2*g**6/15 + 8*g**5/5 + 4*g**4 + 363*g + 1. Determine t so that i(t) = 0.
-6, -2, 0
Let l(u) be the first derivative of -4*u**5/15 - 2*u**4/3 + 28*u**3/9 + 40*u**2/3 + 16*u + 1115. Determine q, given that l(q) = 0.
-2, -1, 3
Let i(c) be the first derivative of -c**7/14 - c**6/10 + 3*c**5/5 + c**4 - 58*c + 56. Let t(o) be the first derivative of i(o). Let t(u) = 0. Calculate u.
-2, -1, 0, 2
Suppose -10*n = 5*n - 540. Let o(x) be the first derivative of 4 + n*x + 12*x**2 + 4/3*x**3. What is r in o(r) = 0?
-3
Suppose 36*j = -61 + 372 - 131. Let v(r) be the first derivative of -6*r**2 + 12/5*r**j - 22/3*r**3 - 7 + 1/2*r**4 + 0*r. Let v(p) = 0. Calculate p.
-1, -2/3, 0, 3/2
Let m(j) be the second derivative of -2*j**7/21 - 46*j**6/15 - 38*j**5/5 + 86*j**4/3 + 26*j**3 - 126*j**2 + 3013*j. Determine s so that m(s) = 0.
-21, -3, -1, 1
Suppose 0 = -8*j + 11*j - 99. Suppose -28*b = -j*b + 20. Solve -8/9 + 4/9*v**3 - 8/9*v - 2/9*v**b + 2/3*v**2 = 0.
-1, 2
Let t(w) be the first derivative of -w**5/20 + 3*w**4/16 + 11*w**3/4 + 53*w**2/8 + 6*w - 1326. Suppose t(h) = 0. Calculate h.
-3, -1, 8
What is j in 2/15*j**3 + 208/5*j**2 + 16224/5*j + 0 = 0?
-156, 0
Let u(l) be the first derivative of -25*l**6/14 - 678*l**5/35 + 57*l**4/2 + 236*l**3/7 - 723*l**2/14 - 30*l/7 + 1940. Let u(r) = 0. Calculate r.
-10, -1, -1/25, 1
Let v(f) be the third derivative of 0*f + 19/4*f**4 + 75*f**2 - 12*f**3 + 0 - 3/20*f**5. Find q, given that v(q) = 0.
2/3, 12
Let x(l) be the first derivative of 5*l**4/4 - 402*l**3 - 2418*l**2/5 - 968*l/5 + 1718. Factor x(t).
(t - 242)*(5*t + 2)**2/5
Determine k, given that 12*k**5 + 67*k**4 - 132*k - 48 - 37*k**2 + 227*k**2 - 43*k**4 - 15*k**3 + 50*k**2 - 81*k**4 = 0.
-2, -1/4, 1, 2, 4
Let d = 289333/169 - 1712. Let k = 5612/1183 - d. Determine j so that 0 - k*j + 3/7*j**2 = 0.
0, 11
Let p be (420/(-88))/21*(-12)/5. Suppose 3 = -2*w + 9. What is a in p*a**2 + 0 + 4/11*a + 2/11*a**w = 0?
-2, -1, 0
Let v(y) = -22220*y - 22220. Let r be v(-1). Factor -1/4*b**2 + r - 3/4*b.
-b*(b + 3)/4
Let n be -20 - (-2)/((-30)/(-25))*3. Let l be (-8)/(-2)*n*18/(-4860). What is s in 0 - l*s**3 + 0*s**2 + 2/9*s = 0?
-1, 0, 1
Let v = 3628088/544215 + 4/181405. Find o such that -2/3*o**2 - 16/3 + 2/3*o**3 - v*o = 0.
-2, -1, 4
Suppose 395 = 4*g + 5*i, 5*i = -4*g + 3*i + 410. Suppose 0 = g*y - 79*y. Factor 0 + y*n + 4/7*n**5 + 8/7*n**4 + 4/7*n**3 + 0*n**2.
4*n**3*(n + 1)**2/7
Let f(x) = 64*x + 961. Let m(o) = -6*o**2 - 3*o + 10. Let q(v) = 5*v**2 + 2*v - 8. Let a(b) = 4*m(b) + 5*q(b). Let g(w) = a(w) + f(w). Factor g(h).
(h + 31)**2
Let f(b) = 3*b**2 - 304*b - 304. Let h be f(-1). Let o(x) be the second derivative of 8/5*x**h + 25*x + 0 + 9/50*x**5 - 29/30*x**4 - 4/5*x**2. Factor o(t).
2*(t - 2)*(t - 1)*(9*t - 2)/5
Let d(z) be the third derivative of z**5/240 + 13*z**4/96 - 35*z**3/2 + 439*z**2 + 2*z. Factor d(a).
(a - 15)*(a + 28)/4
Suppose -4*b + 5*v + 63 = 0, 2*b - 14 = 3*v + 19. Suppose 257*o + b = 260*o. Suppose -52/9*q**3 + 20/9*q**o - 8/9 + 4*q**2 + 4/9*q = 0. Calculate q.
-2/5, 1
Suppose 34*c = -32*c + 2574. Let u be ((-3)/(-10))/(c/52). Factor 0 + 4/5*x + 2/5*x**2 - u*x**3.
-2*x*(x - 2)*(x + 1)/5
Let m(x) be the second derivative of 1/75*x**6 + 4/5*x**2 + 2/15*x**3 - 1 + 15*x - 1/6*x**4 - 1/20*x**5 + 1/210*x**7. Solve m(w) = 0.
-2, -1, 1, 2
Let x(l) be the first derivative of 5*l**6/4 - 110*l**5 + 18605*l**4/8 + 29450*l**3/3 - 5415*l**2 - 1271. What is y in x(y) = 0?
-3, 0, 1/3, 38
Let g(h) be the second derivative of -5/3*h**4 + 0 + 92/3*h**3 - 198*h - 1058/5*h**2. Factor g(p).
-4*(5*p - 23)**2/5
Let n be (-36140)/9730 - (2 - 6/1). What is v in 12/7*v**3 - 40/7*v + n*v**2 + 26/7 = 0?
-13/6, 1
Let l(y) = 39*y**3 - 38*y**2 - 61*y + 13. Let r(o) = -40*o**3 + 36*o**2 + 60*o - 12. Let c = 48 - 52. Let g(h) = c*l(h) - 3*r(h). Solve g(d) = 0.
-1, 2/9, 2
Let m = 60573/5 - 12113. Suppose n = -4*a - n + 10, 2*n = -2*a. Solve -m*j**2 - 22/5*j**3 + 8/5*j + 18/5*j**a + 12/5*j**4 + 0 = 0 for j.
-1, 0, 2/3
| {
"pile_set_name": "DM Mathematics"
} |
prime factors of h.
349
Let w be (3/(-9))/(((-16)/10380)/4). Suppose -39*h = -44*h + w. List the prime factors of h.
173
Suppose 1 = -2*p + 7. Let i(s) = -7*s**2 + 27*s**3 + 4*s**2 + s - 1 + p*s**2. What are the prime factors of i(1)?
3
Let t = 1379 + -649. What are the prime factors of t?
2, 5, 73
Let i = 3 + 4. What are the prime factors of (6/4)/(i/658)?
3, 47
Let g = 916 + -246. What are the prime factors of g?
2, 5, 67
Let h = -8 + 11. Suppose -4*y + 4*w + 28 = 0, 4*y + 4*w - h*w = 18. Suppose s + 5*o - 1 = y, -4*s + 41 = 3*o. What are the prime factors of s?
11
Let x(o) = o**2 + 9*o + 11. Let b be x(-8). What are the prime factors of ((-53)/b)/((-1)/3)?
53
Suppose -9*i = -7*i + 20. Let y be 28*1 + (-40)/i. List the prime factors of 471/12 + (-8)/y.
3, 13
Let z = 1381 + -811. What are the prime factors of (4/(-5))/(-5 - (-2844)/z)?
2, 19
Let l be 2/8 - (-38)/8. Suppose 3*x + 3*u - 2 = 1, x - 3*u = l. Suppose x*j - 12 = 10. What are the prime factors of j?
11
Suppose -15*n + 1505 = -10*n. List the prime factors of n.
7, 43
Let b be (76/(-133))/(0 - 2/14). Suppose 0*l - b*m = l - 41, 2*l + 4*m = 86. What are the prime factors of l?
3, 5
Let f(b) be the second derivative of 1/2*b**2 - 1/6*b**3 + 0 + 8*b + 1/6*b**4. List the prime factors of f(-2).
11
Let d(h) = -2*h - 4. Let i be d(-6). Suppose -i*v + 4*v = -92. What are the prime factors of v?
23
Let s be (12/4 - -3) + 0. Let d be 4/s - 7/(-3). Suppose 3*o + i + 0*i = 34, 4*o - d*i - 28 = 0. List the prime factors of o.
2, 5
What are the prime factors of (-23 - 271)*47/(-6)?
7, 47
Suppose -919 = -4*w + 1645. List the prime factors of w.
641
Let w = 14 - 10. Let n = w + -2. Suppose 5*k - 73 = n. What are the prime factors of k?
3, 5
Suppose 4*j - 6448 - 1406 = 2*m, -5*j + 9837 = 4*m. What are the prime factors of j?
3, 5, 131
Let y = -2204 + 4177. What are the prime factors of y?
1973
Suppose 5*v - 32 = 3. Suppose x - v = -0*x. What are the prime factors of x?
7
Let x = -1545 + 2818. List the prime factors of x.
19, 67
Let f(t) = t**3 + 4*t**2 + 18*t + 7. Let j be f(-6). List the prime factors of 3*j/(-2) + (-8)/(-16).
2, 5, 13
Let p(z) = z - 1. Let r be p(6). Suppose -50 = -r*m + 135. Let n = m - 23. What are the prime factors of n?
2, 7
Let v = 337 + -5. Let f = v + -234. What are the prime factors of f?
2, 7
List the prime factors of (-10)/((8/1100)/((-4)/20)).
5, 11
Let d(z) = -z**2 - 13*z - 11. Let a = 10 - 26. Let h be 20*(a/(-10) - 2). List the prime factors of d(h).
29
Let u(v) = -v**3 + 6*v**2 + 7*v + 4. Let f be u(7). Suppose f*m = 7 + 1. Suppose 6 = -2*g, q - 192 = -m*q + 5*g. List the prime factors of q.
59
Let x(r) = -179*r**3 - 5*r**2 - 4*r - 5. What are the prime factors of x(-2)?
5, 283
Let f(s) = s**3 + s - 6. Let h = 66 + -61. What are the prime factors of f(h)?
2, 31
Let r = 11 - -21. Suppose -k + 3*s + r = -2*s, -3*k + 156 = -3*s. What are the prime factors of k?
3, 19
Let g(i) = -i**3 + 8*i**2 - 11*i - 6. Let d be g(6). Suppose j = 5 - d. Suppose -260 = -j*u - 0*u. What are the prime factors of u?
2, 13
Let p = 13 - 17. Let h(j) = j**3 + 4*j**2 - 2*j - 2. List the prime factors of h(p).
2, 3
Suppose -29 = -4*x + r + 67, 4*r - 16 = 0. Suppose 2 = 3*o - x. Suppose -7*w - 54 = -o*w. List the prime factors of w.
3
Let t = -2 + 2. Suppose 0 = 3*v + 4*g - 390, -v - 3*g + 0 + 130 = t. List the prime factors of 3/4 - v/(-8).
17
What are the prime factors of 42 - (-11 + 12) - (0 - 1)?
2, 3, 7
Let p = 5165 - 3564. List the prime factors of p.
1601
Let d be -4*((252/(-8))/9)/(-1). List the prime factors of 1/((d/(-1162))/(0 - -1)).
83
Suppose 13*d = 9*d - b - 12, 8 = -d + b. What are the prime factors of ((-13)/d)/((-6)/(-312)) + 3?
2, 43
Suppose 85*k - 95*k = -1080. What are the prime factors of k?
2, 3
Let y(c) = 4 - 3*c**2 + 0*c**2 + c**2 + 32*c**3 - 3. Let t be y(-1). Let u = -12 - t. What are the prime factors of u?
3, 7
Suppose -7*k = -8*k - 3. Let w be 308/33 + (-2)/k. Suppose 3*l = 4*l - w. List the prime factors of l.
2, 5
List the prime factors of 24/15*(-20610)/(-36).
2, 229
Let s = -12 - -32. Suppose 5*z = z + s. List the prime factors of 10/z*42/4.
3, 7
Suppose 0 = -5*g - 3*t - 5, -3*g + t = 4 - 1. What are the prime factors of (-4*1/(-6))/(g/(-246))?
2, 41
Let x = 31 - 26. What are the prime factors of 252/(-15)*-2*x?
2, 3, 7
Suppose -5*x = -9*x + 16. Suppose -12 = -x*a - 0*a. Suppose b + 2*n = 21, 0*b - a*b = 5*n - 64. List the prime factors of b.
23
Suppose -23*c = -0*c - 3381. List the prime factors of c.
3, 7
Suppose -5*d - 11 = 4, 2*v = d + 7. Suppose 0 = 2*u - 16 + v. What are the prime factors of u/2*(15 + -9)?
3, 7
Let s = 241 + 3062. List the prime factors of s.
3, 367
Let n(a) = a - 6. Suppose 24 = 4*y - j, 4*y + j + 17 = 41. Let d be n(y). Let c(l) = -l**3 - l + 44. What are the prime factors of c(d)?
2, 11
Let q(b) = -b**2 + 5*b + 6. Let o be q(7). Let m(f) = 2*f**2 + 12*f + 20. What are the prime factors of m(o)?
2, 13
Suppose 0 = -2*d - s - 27, 3*s - 39 + 0 = 2*d. Suppose -4*z + 0*z + 56 = -4*m, -4*m - 5*z - 47 = 0. Let u = m - d. List the prime factors of u.
2
Suppose -2*w - 5*v = -48, -2*w + 3*v - 23 + 55 = 0. Suppose 2*c = 3*c - w. Suppose -16 = -r + c. What are the prime factors of r?
5, 7
Suppose -81*p - 1168 = -85*p. List the prime factors of p.
2, 73
Let v(o) = 5*o**2 - 37*o + 193. List the prime factors of v(24).
5, 19, 23
Let c(u) be the second derivative of -u**5/5 + 3*u**2 - 8*u. List the prime factors of c(-3).
2, 3, 19
Let y be -2*2/4 - -4. Suppose 5*m - y*n - 594 = 0, -2*m + 0*n = 3*n - 246. What are the prime factors of m?
2, 3, 5
Suppose -v + 2 = -0*v. Let z be 55 + (-2 + v)/(-4). Suppose 0 = 2*r - z + 11. What are the prime factors of r?
2, 11
Suppose -27*f + 308 = -43972. What are the prime factors of f?
2, 5, 41
Suppose 0 = -2*x - 3*p - 9, -17 = -x + 2*x + 4*p. Let a(r) = -13 + x - 8*r + 0*r. List the prime factors of a(-7).
2, 23
Let v be (15/(-10))/((-6)/8). Let y = v - -12. Let q = 45 - y. What are the prime factors of q?
31
Let z be (-2)/(-6) + (-117)/27. Let b(g) = -g**3 - 6*g**2 - 4*g - 4. Let j be b(-6). List the prime factors of 1*j - (3 + z).
3, 7
Suppose -4*x = -4*s, -s - 4*s + 4*x - 1 = 0. List the prime factors of s/6 + 637/42.
3, 5
Let p be ((-6)/(-9))/((-16)/936). Let j = -39 + 14. Let o = j - p. What are the prime factors of o?
2, 7
Suppose -204 = -3*n - 2*z + z, 0 = z - 3. Suppose 2*v - r = n, 0 = 3*r + 2*r - 15. List the prime factors of v.
5, 7
Let t(y) = -y**3 + 6*y**2 + 6*y + 2. Let d be t(7). Let h = d + 21. Suppose 4*s - h = -0*s. What are the prime factors of s?
2
Let l be 131/11 + (-4)/(-44). Suppose -14*b + 222 = v - l*b, -416 = -2*v + 3*b. List the prime factors of v.
2, 107
Suppose -3*b - b + 5*u + 92 = 0, 5*u = -b + 23. Let q = 28 - b. List the prime factors of q.
5
Suppose 0*p + p - 2*g - 1 = 0, 0 = -p - 3*g + 6. Suppose -5*d + z = -3*z - 1016, -p*z - 1012 = -5*d. Suppose 4*u - d = -u. What are the prime factors of u?
2, 5
Let t = -152 + 299. Let c = 64 - t. Let q = -50 - c. List the prime factors of q.
3, 11
Let m(t) = 5*t**2 + 21*t - 100. List the prime factors of m(-22).
2, 929
Suppose 5*z + 10 = -0. Let f be 2*(0 + 5/z). Let v(l) = -l + 3. List the prime factors of v(f).
2
What are the prime factors of 601 - (2 + (-12)/4)?
2, 7, 43
Let m(n) = -n**2 + 9*n - 11. Suppose -3*g = -6 - 15. Let u be m(g). Suppose -2*c - u*c = -235. List the prime factors of c.
47
Let r(u) = 3*u - 13. Let w be r(5). Suppose -38 + w = -4*i. List the prime factors of i.
3
Let o = 291 + -47. Let f be -3*o/(-12) - 2. Let i = f + -4. List the prime factors of i.
5, 11
Suppose -797 = -9*a + 841. List the prime factors of a.
2, 7, 13
Let j(t) = -12*t + 84. List the prime factors of j(-32).
2, 3, 13
Let z be (0 - 1)*(-6 + 1). Suppose 0 = z*p + 5*o - 45, 24 = 3*p - o - 11. List the prime factors of p.
11
Suppose 2*s = -2*s, -3*s = 2*h + 72. What are the prime factors of 6*58*(-6)/h?
2, 29
Let c(m) = m + 7. Let y = -3 - -11. Let i be c(y). Let o = i + 14. List the prime factors of o.
29
Let j be ((-6)/9)/(8/(-1812)). Suppose 5*c + 4*h = j, -2*c + 61 = -0*h + h. List the prime factors of c.
31
Let m be (9/(-2) + -1)/(1/4). Let l = 120 + m. What are the prime factors of l?
2, 7
Suppose -4*g + 9*g = 2*c + 12, -c - 5*g + 24 = 0. Suppos | {
"pile_set_name": "DM Mathematics"
} |
Simplify (b/b**4*b*b**(-3)/b*b*(b/b**1*b)**32)/(((b**2/b)/b*b)**45)**(1/24) assuming b is positive.
b**(201/8)
Simplify ((a**(-26/7)/(a/(a/a**(2/21)*a)))/(a**(-1/27))**(-2/29))**(4/27) assuming a is positive.
a**(-61652/147987)
Simplify ((t/(t*t*t**(-2)*t*t))**(-39))**(-2/49)*((t*t*t**0/t)/t**0)**(3/47) assuming t is positive.
t**(-3519/2303)
Simplify ((d*d*d**1)**29/(d*((d*d/d**0)/d)/d)**27)/(((d*(d/(d/(d*d**(1/2))))/d)/d*d)/((d*d*d**(1/5)*d*d)/d)*d**(-2/3)*d*d**(-2)/d) assuming d is positive.
d**(1931/30)
Simplify ((i/(i**(-1/2)/i))**(7/8))**21/((i**0)**(-38)/(((i/i**(-2/5))/i)/i*i)**14) assuming i is positive.
i**(4123/80)
Simplify (a/a**6*a*a*a/((a*a**24/a*a*a)/a)*(a/a**6)**(3/17))**(-29) assuming a is positive.
a**(13746/17)
Simplify n**(3/4)*n**(-9)/n*(n**(-2))**(3/10)*(n/(n/(n**(-1/2)*n*n)))**(-3)*n**(-2/21)/n*n**(-1/5) assuming n is positive.
n**(-6571/420)
Simplify ((((w**(-1)*w)/(w**(-3/4)*w))**(-1/4))**(-20))**(-25) assuming w is positive.
w**(125/4)
Simplify d*d*d**2/d*d**(-1/4)*d*d/((d/(d/d**(-1)))/d)*d*(d/d**(-1/8))/d*((d*d**0)**8)**(-2/15) assuming d is positive.
d**(817/120)
Simplify ((l*l**(1/4)*l*l)**(-2/17)/((l**1/l)/l)**(11/8))/((((l*l**5)/l*l)/l)/(l/l**(-1)))**(-39) assuming l is positive.
l**(16047/136)
Simplify f*f**24*f*f*f*f*f**(-26)*f*(f/((f*f*f/f**(28/9)*f)/f))**(2/9) assuming f is positive.
f**(344/81)
Simplify (n**(-6)*n/n**(-4))**(1/41)/((n/((n**1*n)/n*n))**(2/121)/((n*n**(2/5))/(n/(n/n**3)))) assuming n is positive.
n**(-39883/24805)
Simplify ((d**1*d)**(-10/7))**(-1/5)/((d*d**(2/5))/d*d*d**(3/8))**(3/29) assuming d is positive.
d**(3149/8120)
Simplify ((b**1)**29/((b*(b/b**(5/3))/b*b)/((b*b**20)/b)))**30 assuming b is positive.
b**1460
Simplify (w*(((w/((w*w**(-3/4)*w)/w))/w)/w)/w*w*w**1)**(-3)*(w/((w/w**(2/13))/w))/w**(3/4)*w**(1/12)/(w**2/w) assuming w is positive.
w**(-431/156)
Simplify (g**0*g*g*g/(g*g*g*g**(-6)*g))**(-16)*(g**1/g*g)**17*((g/(g*g**(1/3)))/g)/g*g**4 assuming g is positive.
g**(-184/3)
Simplify (n**(-2/3))**(5/7)*((n**(-2/3)*n*n)/n)**6*(n/(n**(-2/9)/n*n))/(n*(n*n**9)/n*n*n)*n/n**(-2/13)*n*n**(-8)/n assuming n is positive.
n**(-13186/819)
Simplify ((h/(h**(1/4)*h))**46/((h*h**(3/5))/(h*h/(h/h**2))))/(((h**5*h*h)/h**(2/19))/((h/h**1)/(h/h**2*h*h))) assuming h is positive.
h**(-3419/190)
Simplify (((((i*i*i/((i*i/i**(-4/7)*i)/i))/i)/(i**4*i))/(i/i**0)**(1/26))**30)**(4/29) assuming i is positive.
i**(-61260/2639)
Simplify (((v**(-1))**25/(v**(2/7))**(-9/4))**(-2/21))**(-21) assuming v is positive.
v**(-341/7)
Simplify ((((h**(2/11))**(3/29))**(-1/5))**(1/2))**(22/9) assuming h is positive.
h**(-2/435)
Simplify ((v**0*(v/v**(-3))/v)/(v*v**(1/6)*((((v/v**(-2/19))/v)/v)/v*v)/v))/((v**(-2/11))**43)**(-10) assuming v is positive.
v**(-93365/1254)
Simplify (((q/(q**(-5)*q))/(q**(1/9)*q))/(q**(1/4)*q**1))/((q**1)**(-24)/(q*q**0)**(2/31)) assuming q is positive.
q**(29801/1116)
Simplify ((r/r**(6/5)*r)/r*(r*r*r**(-1/2))/r)**(-5)*((r*r/(r/r**0))/(r*r*r**(-2/9)*r*r))**(-2/39) assuming r is positive.
r**(-953/702)
Simplify (((k*k**23)/k)/(k/(k/k**9))*(k*k/k**(-27))/(k/((k/(k/(k*k*k/k**(-25)*k)))/k)))**(-22) assuming k is positive.
k**(-1540)
Simplify ((l**(-1/8)/(l/l**(-1/2)))/(l/l**(-2/25)*l**(-7)))/((l/l**3*l*l/(l*l**(-2/5)))/((l**(-4)/l*l)/l**(-1/15))) assuming l is positive.
l**(577/600)
Simplify (((q/((q**2/q)/q))/q)**(-25)/(q**8*q/(q*q/q**(-4))*q))/((q*q/q**(-1)*q)**(-42)/(q**(2/11)/q**6)) assuming q is positive.
q**(1740/11)
Simplify ((p**(-1/4)/p)/p)/p**(-2)*p**(1/5)/p**(-1)*(p**6*p**(1/6))/(p/(((p/(p**1*p))/p)/p))**(-2/39) assuming p is positive.
p**(5711/780)
Simplify ((b**(2/5)/b)**(-22)/(b**(1/2))**(2/31))/((b*b**6*b)/b*(b*(b/(b/(b*(b**(2/5)*b)/b)))/b)/b)**(-34) assuming b is positive.
b**(41039/155)
Simplify ((i*i**(-6)*i)/i*i*i**5*(i**1)**(-28/5))/((i**(-6)/i)/i*(i/(i*i**(-2)))/i)**(-1/8) assuming i is positive.
i**(-219/40)
Simplify ((b**(-2/7))**(-14)*(b*b**(-1/4)/b*b*b*b)/b*b/(b/(b/(b**(-4/3)*b))*b))**(13/8) assuming b is positive.
b**(949/96)
Simplify (u/u**3*u**(2/25))**(-9)/(u**(-5/2)/(u**7/u)*(u**(2/7)*u)/(u*(u*u/(u/(u**(-1/3)/u))*u)/u*u)) assuming u is positive.
u**(27469/1050)
Simplify o**(-1/2)/o**(-25)*o**5/(o*((o/o**(-9)*o)/o)/o) assuming o is positive.
o**(39/2)
Simplify (((i/(i*(i**(-36)/i)/i))/i*i*i**(2/73))/(i**(-16))**(-3/19))**(-2/7) assuming i is positive.
i**(-98480/9709)
Simplify ((n**(-1)/n)**26*(n**(1/2))**30)/(((n/(n**(3/2)*n))/((n/(n/n**(-4)))/n))/((n**1*n)/((((n*n/n**(-4))/n*n)/n)/n*n))) assuming n is positive.
n**(-87/2)
Simplify ((u**(-1/4)/u*u)**(4/23))**(-20/11)*((u/(((u*u**(-1/5)/u)/u)/u))/u**2)**(15/8) assuming u is positive.
u**(2357/1012)
Simplify ((a*a**(-2/7)*a**5)/((a**(-1/10)/a)/a**(-8)))/((a**1/a**(-3))/((a*a/(a**(1/9)/a))/(a/a**0))) assuming a is positive.
a**(-2077/630)
Simplify ((i*i**(-11)/i)**(-1/14)/(i/(i*i**(-10))*i**(2/23)))**(-15) assuming i is positive.
i**(44925/322)
Simplify (((h**(7/6)/h)/(h**(1/3)*h))/((h/(h*h**4)*h*h)/(h/(h*h**0))))**(3/38) assuming h is positive.
h**(5/76)
Simplify ((c**(6/13)*c)/(c/(c/(c/(c*c**(-4/7)*c))*c)))**21*(c**(-2))**45/(c**(-2/7)*c*c)**(-1/54) assuming c is positive.
c**(-23977/819)
Simplify ((b**(-13)/((b**(-2/35)*b)/b))/((((b/b**(-1/4))/b)/b)/(b*b*b/(b*b*b*b**(-17)/b*b)*b)))**(15/7) assuming b is positive.
b**(2439/196)
Simplify (a**(4/11)*a*a*a**(-9/5)*(a*a**(-1)/a)**(-9/8))**31 assuming a is positive.
a**(23033/440)
Simplify (((s/s**9*s)/(s*s/(s*(s**(2/57)*s)/s)))/((s**(-4)/s)/s)**14)**(-12/13) assuming s is positive.
s**(-17336/247)
Simplify ((i**(-2/5)*i)**(-2/31))**9/((i**4/i)/i*(i**(4/3)/i*i)/i*i**(2/3)/(i/i**(-1/7))) assuming i is positive.
i**(-2393/1085)
Simplify ((f**(2/11))**(3/14)/(f**(6/17)/f*f*f/(f/f**1)*f*f*f*f))**19 assuming f is positive.
f**(-132164/1309)
Simplify ((s*s**(-44))/s*s/s**(-26)*((s/(s/((s/s**(-11))/s)*s))/s)**(4/9))**27 assuming s is positive.
s**(-351)
Simplify o**(-7)/o**(-2)*(o**(-2))**(-15)*(((o/(((o*o*o/(o**2*o*o))/o*o)/o))/o)/o)**(-10)*(o*o**6*o)/(o*o/o**(-7)) assuming o is positive.
o**14
Simplify o**4*o*o/(o*o*o/o**5)*o*(o/(o**1*o))/(o*o**(2/5))*(o**(-1/4)*o*o**(-1/3))/(o**1/o)**(-19) assuming o is positive.
o**(421/60)
Simplify u**22*u**28*u*u/(((u**(7/2)/u)/u)/u)*u*u/u**(-2/11) assuming u is positive.
u**(1181/22)
Simplify (((i*i**(1/19))/i)**(-11)*i**(-27/2)/(i/((i*i**(-42))/i)))**(-45) assuming i is positive.
i**(97605/38)
Simplify z**(1/2)*z**7*z**1*z**7*(z**(1/8)/(z**(-1/7)*z))/((z/z**4)/(z/z**(-7))) assuming z is positive.
z**(1443/56)
Simplify (((((y*y**(4/5))/y)/y)/y*y)**(1/40)*y*y*y**(-10/3)*y**(-34)*y)**37 assuming y is positive.
y**(-762311/600)
Simplify (h**7*h/(h**(-6)/h))**43*(h**8/(h/h**(-9)))**(-20) assuming h is positive.
h**685
Simplify ((o**(2/15)/o*o*o*o/o**(-16))/(o**9*o*o**(-5)))**(-40) assuming o is positive.
o**(-1576/3)
Simplify ((((n**1*n)**(-21))**(-2/13))**(2/123))**(2/3) assuming n is positive.
n**(112/1599)
Simplify (y/(y/(y*y*(y*y*y**(-1/49)*y*y)/y)))/(y/(y*y**(-8)))*(y**(3/8))**(-3/14) assuming y is positive.
y**(-2431/784)
Simplify (d/(d*d**(2/11)/d)*d**(-1/8))**(-1/13)*d**(2/9)/(d*d**(-5/6))*((d**(2/3)*d)/d)**(-22) assuming d is positive.
d**(-150985/10296)
Simplify ((((u/(u**(1/5)/u*u))/u)/((u/(u**(10/3)/u*u))/u))/(u*u**(-2/21)*u/u**23))**22 assuming u is positive.
u**(18656/35)
Simplify (y**0)**(-39)/(y*y/(y/y**(-1))*y)**(-38)*y/(y/(y**(3/4)*y))*(y/(y*y**(1/3))*y)/y*y*y**(-6)/y**(2/9) assuming y is positive.
y**(1231/36)
Simplify ((y*y**5)/(y/y**(1/11)*y*y*y*y*y))**(1/21)*(((y*y**(-1/3))/y)/(y**(-12)/y))**19 assuming y is positive.
y**(55595/231)
Simplify ((q**(-17)/q)/q*q*q/((q/(q**26/q))/q)*(q*q**(-3/10))/q*q**(-17/4))**(1/18) assuming q is positive.
q**(23/120)
Simplify ((t**(1/2))**(-2/63))**(40/3)/((t/t**(-1))**(-1/3)/(t**(2/27)*t**(-2/7)*t)) assuming t is positive.
t**(235/189)
Simplify (z*z*z**(1/6)/z*z**(-3/4)*z**8/(z/(z/(z**(-1/2)/z))))/((z*z**(1/2)*z)**(-13))**(-33) assuming z is positive.
z**(-12751/12)
Simplify ((c**(2/5))**13*(c*c/(c**(-3)*c))/(c/c**(3/8)))**(-6/17) assuming c is positive.
c**(-1029/340)
Simplify ((a*a**(-2/3))**(12/7)/(a**(-5)/a**(-1/7)))**(-1/38) assuming a is positive.
a**(-1/7)
Simplify y*y/(y*y**(-2/13))*y**(2/5)*(y/(y*y/(y/((y**(8/9)*y)/y))))/(y/y**(-2)*y) assuming y is positive.
y**(-1951/585)
Si | {
"pile_set_name": "DM Mathematics"
} |
v*m + d and give v.
-12681
Rearrange 765*m**2 - 2701*m**2 - 1980*m**2 + (1 - 1 - 2*m)*(m + m - m) to c*m + j + q*m**2 and give q.
-3918
Rearrange -20*z**2 + 0 - 28*z**2 + 5*z + 3*z**2 + 2 - 3 to the form m + o*z + t*z**2 and give t.
-45
Rearrange -j**2 + 404*j**4 + 0*j**3 - 1 - 4*j**3 - 2*j + 0*j**2 - 405*j**4 to f*j + y*j**4 + p*j**3 + a + l*j**2 and give a.
-1
Rearrange (-1205 + 601 + 591 + 3*i)*(-28 + 30 - 4*i**3 - 7*i**3) to a*i**2 + u*i + n*i**3 + w + m*i**4 and give u.
6
Express 577*x - 5*x**2 + x**2 + 11 - 31*x - 12 + 359*x in the form l*x**2 + g*x + p and give p.
-1
Express (3*y + 4*y - 5*y + (-1 + 2 + 1)*(-2*y + y + 2*y))*(0 - 1 + 3)*(47 - 217 - 93) as n + x*y and give n.
0
Express 38 - 5278*c + 25 - 63 as r + o*c and give r.
0
Express 477 - 14*c**2 + 523 - 999 - 2*c**3 - 23*c + (-5*c**2 + 3*c**2 - c**2)*(-4*c + 4*c + 3*c) in the form x*c + g*c**3 + m*c**2 + b and give m.
-14
Express -80801 + 0*y**3 + 80801 + y**2 + y**3 - 1532*y in the form z*y + p*y**3 + w*y**2 + m and give p.
1
Rearrange -6*m**2 - 51 - 3832 + 7*m**2 to g + p*m**2 + i*m and give p.
1
Express -17 + 47 - 4322*l**2 - 18 - 12 in the form t + j*l + q*l**2 and give t.
0
Express (-1039 + 729 - 1132)*(5*q**2 + 2*q**2 + q**2) as c*q**2 + b*q + s and give c.
-11536
Express -4023*o**4 + 6*o + 8011*o**4 - 6 - 3987*o**4 in the form u*o**3 + a + p*o + z*o**2 + d*o**4 and give p.
6
Rearrange 30315 - 12*o**2 - 4*o**3 + o**4 - 15160 - 15161 - 3*o + o to k*o**2 + a*o**4 + i*o + g + j*o**3 and give i.
-2
Rearrange 40*f + 41*f + 42*f + 465*f**2 + 48*f - 170*f to the form p + t*f + y*f**2 and give y.
465
Rearrange -190*w**3 + 0*w**4 + 3*w**4 + 0*w**4 - 2*w**4 + (3 + 1 + 2)*(0*w**4 - 9*w**4 - w**4) to the form s*w**3 + j + v*w**4 + q*w + d*w**2 and give j.
0
Rearrange (3*a**3 - 5*a**3 - 2*a**3 + (a - a**2 - a)*(12*a - 6*a + 9*a))*(-19*a + 9*a + 15*a) to the form b*a + c*a**3 + z + j*a**2 + l*a**4 and give l.
-95
Express 14902*y - y**4 + 14905*y - 44710*y + 147 + 2*y**3 + 14903*y as i*y + z + t*y**2 + j*y**4 + b*y**3 and give j.
-1
Rearrange 2*n + 31*n**2 + 2*n**4 - 52 + 43 - 65*n**2 - n**3 + 36*n**2 to g*n + h*n**2 + b*n**3 + a + p*n**4 and give a.
-9
Rearrange -60 + 174 - 61 + 1692*o - 51 to the form b*o + h and give b.
1692
Rearrange (-2*l - 4*l + 5*l)*(4*l - 2*l - l) - 730*l**2 - 1901*l**2 + 610*l**2 to u*l + v + w*l**2 and give w.
-2022
Rearrange -23*n + 1571 - n**2 - 10*n + 12*n**3 - 26*n + 15*n - 1572 to the form q + f*n**2 + c*n**3 + i*n and give q.
-1
Express (9*d**2 + 87 - 10*d**2 + 223)*(4*d**2 - 6*d**2 - 3*d**2) in the form q*d**2 + u*d**3 + g + r*d**4 + l*d and give q.
-1550
Express (2*x**2 - 4 + 4)*(x - 6*x + 2*x) - 4*x**3 - x**3 + 4*x**3 + (-207*x + 129*x + 140*x)*(0 - x**2 + 0) in the form m + i*x**3 + w*x**2 + p*x and give i.
-69
Express -90269*x**3 + 90261*x**3 - 3*x**2 - 3*x - 5*x**2 in the form v*x**2 + t + r*x + o*x**3 and give o.
-8
Rearrange (26 + 1096 + 164)*(0*j - 3*j + j + (-4 - 2 + 7)*(-3*j - 3*j + 4*j)) to x*j + w and give x.
-5144
Rearrange (-3439*z**3 - 1018*z**3 - 1507*z**3)*(4 - 4 - 3*z) to the form x*z**4 + m*z**2 + j + b*z + y*z**3 and give x.
17892
Express -44*r + 5 + 98*r**3 + 46*r + 3*r**2 - 87*r**3 in the form a*r + w*r**3 + l*r**2 + f and give w.
11
Rearrange (-49*g - 368*g - 67*g)*(62 + 4*g**3 - 48*g**3 - 62) to h + o*g**2 + c*g**3 + p*g**4 + y*g and give p.
21296
Express (0 + 3*y + 0)*(-4*y + 7*y + 9*y)*(282*y**2 - 1 - 305*y**2 - 168*y + 161*y) as o*y**3 + f*y**2 + s + v*y + a*y**4 and give f.
-36
Express -76*a + 18*a + 15*a + 4*a**2 - 4716 + 43*a in the form s*a + f + r*a**2 and give r.
4
Rearrange -m**4 + 268*m + 2 + 233*m**3 + 0*m**4 - 2*m**2 + 278*m - 546*m to l + o*m**2 + u*m**4 + h*m**3 + t*m and give h.
233
Rearrange -31056 - 2*x**3 - 205*x**2 + 31060 + 1193*x**2 to g + n*x**3 + o*x**2 + j*x and give g.
4
Rearrange (-11 - 36740*h + 18402*h + 18386*h)*(-4*h + 6*h - 4*h) to j + g*h**2 + b*h and give b.
22
Rearrange -25*p**2 + 3 + 8*p**2 + 30*p**3 + 0*p**2 - 31*p**3 + 1 to t*p**3 + n*p + c + r*p**2 and give n.
0
Express 2809 - 2999 + 0*l - 5295 - 3*l - 3188 in the form s*l + x and give s.
-3
Express (w + 3*w - 3*w)*((5 - 1 - 1)*(-1 + 2*w + 1) + 2070 - 2070 + 458*w) in the form f*w**2 + s*w + o and give f.
464
Express -703 + r**4 - 710 - 707 + 2123 - 5689*r as f*r + y*r**3 + l*r**4 + u + h*r**2 and give u.
3
Rearrange (244 - 289 + 280)*(4*d**4 - 4*d**4 - 24*d**4) to m*d**4 + s*d**2 + p + v*d**3 + h*d and give m.
-5640
Rearrange -2162*f**2 + 18*f - 7*f - 11*f - 5452*f**2 to the form h + y*f**2 + p*f and give y.
-7614
Express 101581*j**2 + 0*j - 2*j**3 - 2*j + 101578*j**2 + 5*j**4 + 193 - 203158*j**2 in the form y*j**3 + s + w*j**2 + r*j**4 + i*j and give i.
-2
Express -1091*r + r**4 + 357*r + 358*r + 4 + 362*r - 18*r**3 + 5*r**3 in the form s + x*r**3 + c*r + z*r**4 + t*r**2 and give t.
0
Express 3578 - 3579 + 3*v**3 + 2*v + 16*v**2 - v as k*v**3 + p + m*v**2 + y*v and give p.
-1
Express -3*w - w - 5171*w**2 + 3*w + 3571*w**2 as i*w + o*w**2 + z and give o.
-1600
Rearrange 180*k**2 + 175*k**2 - 1 - 713*k**2 + 177*k**2 - 7*k**3 + 2*k + 178*k**2 to b*k**2 + x*k + j*k**3 + f and give b.
-3
Rearrange (-46 + 76 + 54)*(-3*d**2 - 6*d**2 + 2*d**2)*(3 + d - 3) to the form l*d + h + v*d**3 + i*d**2 and give i.
0
Express (-1024*j - 6172 + 6172)*(3 + 5 - 5)*(-3 + 2*j + 3) as n*j**2 + t + m*j and give n.
-6144
Express -56*s**3 + 18*s + 9*s**3 + 50*s**3 + 8 in the form x*s**3 + w*s + h*s**2 + y and give y.
8
Express -5*f - 10 + 0*f**3 + 6 - f**2 - f**3 + 3*f**3 as l*f + k*f**3 + r*f**2 + q and give k.
2
Express ((-3 - u + 3)*(-2*u**2 + u - u) + 2*u**3 - 3*u**3 + 3*u**3)*(-4377*u + 12612*u + 3503*u) as l*u**2 + v*u**3 + b*u**4 + a + n*u and give b.
46952
Rearrange 0*n**2 - 67940 + 27*n + 68033 + n**2 to l*n**2 + f*n + x and give f.
27
Rearrange 131452*a**3 - 131456*a**3 + 2*a**4 + 1 - 3 + 5*a to g*a**2 + c*a + b*a**3 + j*a**4 + k and give k.
-2
Rearrange 1937*p**2 + 2*p**3 - 2 - 3926*p**2 + 1953*p**2 + 41*p + 2 to q + t*p**2 + n*p + k*p**3 and give t.
-36
Express (-3*t**2 - t**2 + 3*t**2)*(3 + 4 - 4)*(-9977 + 9977 + 189*t**2) as y*t + v*t**4 + w*t**3 + k*t**2 + b and give v.
-567
Express 303 - 596 + 162*f**2 + 295 + 3*f**3 in the form g*f**3 + t + x*f + z*f**2 and give t.
2
Express -22*u + 7*u - 46*u in the form k + n*u and give n.
-61
Express -3*k**3 + 2499*k - 2487*k - 170*k**3 in the form y*k**2 + l*k + c*k**3 + t and give c.
-173
Rearrange (2 - 2*n - 2)*(-3*n + 6*n + 0*n) + (-3*n + 2*n - n)*(-25*n + 29*n + 99*n) to the form h*n + c + u*n**2 and give h.
0
Express -9508*c**2 + 6692*c**2 + 7061*c**2 as i*c**2 + j*c + f and give i.
4245
Rearrange o**2 - 57 + 34 - 16*o**3 + 16*o**3 + 60*o**4 to the form z*o**4 + c*o**3 + b*o**2 + h + d*o and give z.
60
Rearrange (598 - 598 + 584*s**2 - 2*s + 2*s + s**2 + (-2*s + 4*s - s)*(2*s - 2*s + 2*s))*(4 - 3 - 2) to the form y*s**2 + g*s + t and give y.
-587
Express -31*w + 1 + 72*w - 924*w**2 - 41*w - 4 as m*w**2 + c + q*w and give m.
-924
Rearrange (4790*j + 2421*j + 2541*j - 2860*j + 3417*j)*(0 - 2 + 1) to the form o*j + a and give o.
-10309
Express (-d**2 + 2*d - 2*d)*(-4*d + 0*d + 3*d) + 1029*d**3 + 73*d**3 - 1675*d**3 - 2498*d**3 in the form c*d + t + x*d**3 + n*d**2 and give x.
-3070
Rearrange 130*n**2 - 571*n**4 + 5 - 2*n - 67*n**3 - 72*n**3 + 142*n**3 - 131*n**2 to the form r*n + b*n**2 + i*n**3 + d*n**4 + h and give h.
5
Express ((1 + 0 + 0)*(0 - 2 + 0) + 1 - 3 + 4 + 0 + 2 + 0 + (-4 + 0 + 1)*(6 + 2 + 2))*(-o + 2*o + o) as f*o + n and give f.
-56
Express (19 + 4 + 1)*(24*z + 2 - 24*z - 63*z)*(-3 + 0 + 1) as a*z + w and give w.
-96
Express -9 + 15*d**2 + 405*d - 435*d + 9 + 12*d**2 as h + p*d**2 + c*d and give c.
-30
Express 6597*f**2 - 1925*f**3 - 6597*f**2 - 3 + 3 - f**3 + (-1 + 0 + 2)*(4*f**3 - 3*f**3 - 3*f**3) in the form n*f**2 + s*f + k*f**3 + i and give k.
-1928
Rearrange 5*h**3 - 4*h**2 + h - 1151*h**4 + h**3 + 6 - 4*h**3 - 2*h + 1146*h**4 to w + z*h + y*h**3 + n*h**2 + r*h**4 and give r.
-5
Express -d**3 - 284*d**2 + 105*d**2 - 3*d**4 - 63*d + 104*d**2 + 77*d**2 as g*d + u*d**4 + r*d**2 + o*d**3 + w and give u.
-3
Express (-2*i + 2*i - i)*(-3*i + i + 4*i) + (-30*i - 16 + 16)*(-i + 3*i - 4*i) - 610*i + 610*i - 204*i**2 in the form r*i**2 + g + b*i and give r.
-146
Rearrange 29*j**2 + 29 + 10*j**4 - 2*j | {
"pile_set_name": "DM Mathematics"
} |
-0.4 (b) -2 (c) 5 (d) 4/5 (e) 0.2 (f) 11
f
Which is the nearest to -6025? (a) 28 (b) 0 (c) -0.4 (d) -6 (e) -5
d
What is the nearest to 3 in 6, 1, 2/7, 4, -4, -2.7?
4
Which is the nearest to -13/4? (a) 1 (b) 9 (c) 644/9 (d) 0.3 (e) 3/5
d
What is the nearest to -3/661 in -1/14, -0.7, 637?
-1/14
Which is the closest to -71? (a) 2 (b) -4.8 (c) 8 (d) 5 (e) -0.2 (f) 1/6
b
What is the nearest to 0 in -6, -2, 1.5, -1.79, -0.04?
-0.04
Which is the closest to -9/8? (a) 2/1287 (b) 1 (c) 272 (d) 6
a
What is the nearest to -6 in -1, 1/347, -297?
-1
Which is the closest to -1? (a) -4 (b) -0.14 (c) 5 (d) -272 (e) 24
b
What is the nearest to 1.2 in 0.5, -1/5, 2, 4.06, -0.3?
0.5
Which is the closest to 1.0623? (a) 0.193 (b) -1 (c) 1
c
What is the nearest to 2/5 in 4, 0.3, -1674551, -2, 0.1?
0.3
What is the closest to -0.1 in 3/4, 21180, -444?
3/4
Which is the nearest to -1/4? (a) 15 (b) 1/4 (c) -0.12 (d) 1 (e) 0.043
c
Which is the closest to -2? (a) -1/10 (b) 0.113 (c) 2/5 (d) -68 (e) -3
e
What is the closest to 0 in -45906, 0, 1?
0
Which is the closest to 1/3? (a) -3 (b) 46 (c) 1146/13
a
What is the nearest to 0 in -1/5, -2, -2/263, -8343, -4/3, -5?
-2/263
Which is the closest to 2/7? (a) -2 (b) -3 (c) 0.041 (d) -2/11 (e) 1
c
Which is the closest to 1/19? (a) -7/8 (b) 0.1 (c) -69/107
b
What is the closest to 2.2 in -3/4600, 19, 3?
3
What is the nearest to -3/8 in -33, -39, 5/4, 104?
5/4
What is the closest to -2 in 2, 30578, -2/65?
-2/65
Which is the nearest to -50? (a) -0.3 (b) 1 (c) -1 (d) -559
c
Which is the closest to 49/6? (a) -234 (b) -0.3 (c) 0.03
c
Which is the closest to 1164? (a) -0.2772 (b) -2/13 (c) 0.3
c
What is the nearest to -2 in -2, -65/6, 61, 2, 6, 1?
-2
Which is the nearest to 11? (a) -3.4 (b) -1 (c) -4 (d) -11 (e) 5 (f) -2/79
e
Which is the closest to 0? (a) -5 (b) -2/13 (c) 32/11235
c
What is the nearest to -3 in 7.5965, 1, -0.3, -0.4?
-0.4
Which is the nearest to 24262? (a) -1 (b) -4 (c) -122
a
What is the nearest to 2/5 in -2, -4, -0.2225154, 3?
-0.2225154
Which is the closest to 1? (a) 2 (b) -81 (c) -1/3 (d) -2 (e) 5 (f) 198
a
Which is the nearest to 223? (a) 2/27 (b) 4/7 (c) 5/39
b
What is the nearest to 0.65 in -3, 3, 6, 1/12, 5, 2/193?
1/12
What is the nearest to 0.1 in 29/2, -5, -0.3, -954?
-0.3
Which is the nearest to 63? (a) 5/3 (b) -0.7 (c) 8/241 (d) 4
d
What is the nearest to -1 in 1895737, 2/5, 5?
2/5
What is the nearest to -0.5 in 2, -22, -1673, 0.5?
0.5
Which is the closest to -1? (a) 2/301 (b) -4 (c) -19/12 (d) -17
c
Which is the nearest to -0.42? (a) -1 (b) -0.4 (c) 0.3 (d) -1.44 (e) 6
b
Which is the nearest to 1? (a) -1/30 (b) -11 (c) -3.1 (d) 1 (e) -4/43 (f) 3
d
Which is the closest to -1/2? (a) 0.3 (b) 137 (c) -10 (d) -3/2 (e) -2/11 (f) 17
e
Which is the closest to -2? (a) 0.5 (b) -704 (c) 33 (d) -30
a
Which is the closest to 2/5? (a) -1/33 (b) 35/2 (c) 620
a
Which is the closest to 0? (a) -2/3 (b) -2/2679 (c) -2/15 (d) 4/37
b
Which is the closest to 6/5? (a) 95/28 (b) 1/4 (c) -0.3 (d) -0.2 (e) 5 (f) -3/5
b
What is the nearest to 4 in 4, 5, -0.01, 1503, -0.2?
4
What is the closest to 8 in 7, -74, 2/15, -3, -2?
7
Which is the nearest to 49/333? (a) 38 (b) -74 (c) 3/4
c
What is the closest to 2 in 1668, 4, -83, 4/7?
4/7
Which is the nearest to 2/5? (a) 27/2 (b) -136 (c) -7/5
c
What is the nearest to -0.2 in -5/9, -28, -80?
-5/9
What is the closest to -1/4 in 24/17, 5, 2/3097, 3?
2/3097
What is the nearest to 1.8 in -5, 181, -48?
-5
Which is the closest to 5? (a) 3105 (b) -4/31 (c) -0.4
b
Which is the nearest to 6? (a) 13 (b) -0.3 (c) -5 (d) 0.63
d
Which is the nearest to -1? (a) -35/6 (b) 0.14468 (c) -0.3
c
What is the nearest to -706 in -0.01, 0.3, 493, 2?
-0.01
What is the closest to 1 in -3328, 21/5, 0.3?
0.3
Which is the closest to 1/2? (a) -4/33 (b) 3/7 (c) -8/5475 (d) -0.3
b
Which is the nearest to 1/2? (a) 1/8 (b) -21 (c) 2/3265
a
Which is the nearest to 1/5? (a) -3 (b) 0.2 (c) 0.23739 (d) -0.5
b
Which is the nearest to -22? (a) -791 (b) -492 (c) -0.4
c
What is the nearest to 0 in -0.03, 8808, -0.09, 5/6?
-0.03
What is the nearest to 6 in -0.2, -10, 2, 36428?
2
Which is the closest to -10? (a) -31544 (b) 48 (c) 1
c
Which is the closest to 0? (a) 0.03232 (b) 3 (c) -5/6 (d) -2/11
a
Which is the closest to -5? (a) 0 (b) 2 (c) 2/15 (d) -6 (e) -229
d
What is the nearest to 0 in -1, -9, 4/5, -89, -5?
4/5
Which is the nearest to 19? (a) -12 (b) -31.88 (c) -7 (d) 0 (e) 4/7
e
Which is the nearest to -2? (a) 0.2 (b) 2/9 (c) -427 (d) 10 (e) -15
a
What is the nearest to 16161 in 76, 6/5, -3/31?
76
Which is the closest to 1.7? (a) -1/6 (b) -33893 (c) 0
c
What is the nearest to -0.4 in -75.6, -3, -0.1981?
-0.1981
What is the closest to -4 in 3/724, -0.3, 926/3, 0.5, -2/7?
-0.3
What is the nearest to 0.3 in -4784, 1/18, 3, 11?
1/18
What is the closest to -2 in -0.02, 9, 0.3, -5, 19418, 0?
-0.02
Which is the nearest to -7? (a) -1/2 (b) 0.4 (c) -125166
a
Which is the nearest to 1? (a) 12.19 (b) -2/5 (c) -7.63 (d) 0.4
d
What is the nearest to 85 in 7, 7.68, 0.11, 0.2?
7.68
Which is the closest to 485? (a) 0.2 (b) -2/17 (c) 82 (d) 32
c
What is the closest to -1/4 in 6/17, 0, 0.1579, -1, 0.1, 24/5?
0
Which is the nearest to 0.2? (a) 1/4 (b) -3 (c) -0.14 (d) 3 (e) -13 (f) 264
a
What is the closest to -1 in 2/503, 69354, 5?
2/503
Which is the closest to 8.6? (a) 29 (b) 0.09 (c) 72
b
What is the nearest to -2/3 in 0.182, -0.06, -36, -4?
-0.06
What is the nearest to -1 in 36, 2/5, -331, 0.1?
0.1
What is the nearest to -2 in 2412, 268, -2/13?
-2/13
Which is the closest to -0.17? (a) 0.4 (b) 8512 (c) -3
a
Which is the nearest to -5? (a) 2/2423 (b) -1851 (c) 4/3
a
What is the nearest to 256/7 in 0, 56, 101?
56
Which is the closest to -2/7? (a) 0.3 (b) 4 (c) -3/5 (d) 76.26 (e) 4.7
c
Which is the nearest to -1.6? (a) -0.0165 (b) 35 (c) -1 (d) 11
c
Which is the nearest to 35? (a) 249.8 (b) -7 (c) -2/47
c
What is the closest to -2/3 in 25/3, 3.2, 0.2, -3/5, 18?
-3/5
What is the closest to -3/4 in 4, -0.03, 41, 68?
-0.03
What is the nearest to 2/3 in 40, -15103, 7, 2/23, 0.1?
0.1
Which is the closest to -5? (a) 2/11 (b) 4 (c) -5 (d) -3 (e) 46728 (f) -2/9
c
Which is the nearest to -5/3? (a) 8 (b) 4 (c) -7 (d) -1/8 (e) 34/47
d
Which is the closest to -30/13? (a) 2/11 (b) -1/3 (c) 210 (d) -21
b
Which is the nearest to -12? (a) -5/6 (b) 42/2347 (c) -0.1
a
Which is the nearest to 1? (a) 1.68 (b) 0.3 (c) -0.3 (d) 1/3 (e) -11/39 (f) 0.03
d
What is the closest to -0.1 in -2/21, 4/587, 0.06?
-2/21
What is the nearest to 2/9 in -0.13, 587490, 5?
-0.13
Which is the nearest to 2? (a) -9 (b) 2/1665 (c) -474
b
Which is the closest to -767? (a) 2/5 (b) -4 (c) 1.984 (d) -0.1 (e) 4
b
What is the closest to -2/13 in -10, 4, -0.5, 0.1, 0.79939, 3/2?
0.1
Which is the closest to 10? (a) -2.3 (b) 44260 (c) 5
c
What is the closest to 0 in -1, -3, -249.6799, 2?
-1
Which is the closest to 2/5? (a) 0.5 (b) 1.7 (c) 0 (d) -1121.1 (e) -0.1
a
Which is the closest to -3? (a) -2.41 (b) 12 (c) -19.6
a
What is the nearest to -2 in -0.2, 0.4, -34, -5, -6/113?
-0.2
Which is the nearest to 0? (a) -8 (b) 4.65 (c) -0.1 (d) 193
c
Which is the closest to -2/9? (a) -2/9 (b) 3 (c) -4 (d) 0.161 (e) -38
a
What is the nearest to 2 in 6, -5, 2/7, 25334?
2/7
What is the closest to -0.2 in -3, -2/5, 59373, 15?
-2/5
What is the closest to -5992 in 2/5, 200, 2?
2/5
What is the nearest to 262 in 0.5, 4, -2/3, -2, 2/17, 325?
325
What is the nearest to -0.4 in -14.1, -1/278, 0.1, 3, 8?
-1/278
What is the nearest to -10 in -2/3, 613/3, -92?
-2/3
Which is the nearest to -0.2? (a) -592 (b) -5/2 (c) 2/5 (d) 1161 (e) -3
c
Which is the closest to 2/3? (a) -2/99 (b) -1/11 (c) -1/9 (d) 5 (e) 4975
a
Which is the nearest to -0.1? (a) 0 (b) -3.4 (c) 15.6 (d) -0.17
d
What is the closest to -63/4 in 2/13, -212, 1?
2/13
Which is the closest to -0.03? (a) 0 (b) -3 (c) 4748 (d) 2/7
a
Which is the nearest to 1/2? (a) -4 (b) 36477 (c) 5/3 (d) 0.1
d
Which is the nearest to -106? (a) 155 (b) -1 (c) -679
b
Which is the nea | {
"pile_set_name": "DM Mathematics"
} |
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