 113*u**4/12 + 6*u**3 - 10*u**2 - 2*u + 841. Let k(i) = 0. Calculate i.
-5, -1, 2/7, 2
Let l(t) be the third derivative of -t**5/420 - t**4/42 - t**3/14 - 3*t**2 + 491. Let l(h) = 0. What is h?
-3, -1
Let t(u) = 3*u**2 + 32*u - 48. Let k be t(-12). Suppose b + f = k, -5*b = -5*f + 9*f - 2. Determine n, given that 0*n**b + 1/5*n**3 - 3/5*n - 2/5 = 0.
-1, 2
Let y(i) = i**2 - 34*i - 80. Let q be (2/5)/(1/15). Let z be (-277)/5 + 14/35. Let t(s) = 10*s**2 - 305*s - 720. Let p(m) = q*t(m) + z*y(m). Factor p(c).
5*(c + 4)**2
Factor 9758*j**3 + 336*j - 9680*j**3 - 132 - 180*j**4 - 279*j**2 + 177*j**4.
-3*(j - 22)*(j - 2)*(j - 1)**2
Factor -32/3 + 244/15*y - 86/15*y**2 + 2/15*y**3.
2*(y - 40)*(y - 2)*(y - 1)/15
Let d be (-24)/(-21) + -23 + (-3975)/(-175). Let -3/7*p**2 - d - 9/7*p = 0. Calculate p.
-2, -1
Let i = 427 + -424. Suppose i*m = -8*m + 22. Solve -1/8*a**4 + 1/2*a**m - 1/4*a**3 - 3/8 + 1/4*a = 0 for a.
-3, -1, 1
Let c(s) be the first derivative of -5*s**4/12 - 5*s**3/3 - 58*s - 25. Let d(k) be the first derivative of c(k). Suppose d(a) = 0. What is a?
-2, 0
Factor 1486/5*v + 2/5*v**2 + 2964/5.
2*(v + 2)*(v + 741)/5
Let l(y) = 54*y**2 - 912*y + 480. Let j(z) = z**2 - 4*z - 2. Let c(i) = -10*j(i) - l(i). Solve c(x) = 0 for x.
1/2, 115/8
Suppose -3*v - v - f = 18, 22 = -3*v - 5*f. Let n(g) = -2*g**3 - 7*g**2 - 6*g - 8. Let r be n(v). Factor 169*b**2 - 128 - 494*b**2 + r*b + 163*b**2 + 160*b**2.
-2*(b - 8)**2
Let a be 2/((-2)/2) - 1652/(-672). Let x = a + -5/24. Factor 0 + 0*k**2 - 1/4*k**3 + x*k.
-k*(k - 1)*(k + 1)/4
Suppose 497*w + 81 = 1075. What is k in 40/13*k - w*k**3 + 8/13 + 38/13*k**2 - 14/13*k**5 - 46/13*k**4 = 0?
-2, -1, -2/7, 1
Let x(o) be the second derivative of o**5/40 - 17*o**4/24 - 3*o**3/2 + 2327*o. Solve x(k) = 0.
-1, 0, 18
Let o(n) = n**2 + 7*n + 14. Let q be o(-4). Suppose b = -m + 9, -q*m = 4*b - 6 - 20. Factor -b*h**2 + 30*h - 34*h + 6*h**3 - 2*h**3 + 4.
4*(h - 1)**2*(h + 1)
Suppose 21*d - 144 = 13*d. Suppose -11*b + d*b = 21. Factor 108*g + 108 + 13*g**b - 72*g**2 - 3/4*g**4.
-(g - 6)**3*(3*g + 2)/4
Let v(d) be the third derivative of 23 - 20/3*d**3 - 1/12*d**5 + 0*d - 15/8*d**4 - 3*d**2. Factor v(n).
-5*(n + 1)*(n + 8)
Suppose -2*n - 9 - 52 = -5*i, -5*i - 6 = -71. Factor -6*x - 4/3 - 8/3*x**n.
-2*(x + 2)*(4*x + 1)/3
Suppose -1420*w + 218 = -1246 + 834 - 2210. Factor 3/4*r**4 + 15/4*r**w - 9/2*r**3 + 0 + 0*r.
3*r**2*(r - 5)*(r - 1)/4
Let q(l) be the second derivative of -l**6/220 - 43*l**5/660 + 5*l**4/66 + 7*l**3/2 + 21*l. Let y(x) be the second derivative of q(x). Factor y(c).
-2*(c + 5)*(9*c - 2)/11
Let q(v) = 15*v**4 + 680*v**3 - 3705*v**2 + 6060*v - 3050. Let m(n) = -5*n**4 - 227*n**3 + 1235*n**2 - 2020*n + 1017. Let h(a) = -10*m(a) - 3*q(a). Factor h(k).
5*(k - 2)**2*(k - 1)*(k + 51)
Suppose 3*g - 98 = 4*l, -2*l + 15 = 13. Suppose -33*z + g = -32. Solve -242/9*h**z + 44/3*h - 2 = 0 for h.
3/11
Suppose -30 = -100*p + 90*p. Factor 3*c**3 + 11*c**2 + c**2 + 2*c + 5*c**p + 8*c**4 - 8*c**3 + 18*c**3.
2*c*(c + 1)**2*(4*c + 1)
Let -372*l - 652/7 + 16/7*l**2 = 0. What is l?
-1/4, 163
What is p in 4576/7 + 876/7*p + 8/7*p**2 = 0?
-104, -11/2
Let o(p) be the second derivative of p**5/10 + 43*p**4 + 257*p**3/3 + 5*p + 457. Factor o(d).
2*d*(d + 1)*(d + 257)
Factor 468 - 73*x**2 - 105*x + 13*x**2 + 57*x**2.
-3*(x - 4)*(x + 39)
Let p be ((-9684)/(-12312) + 8/(-18))*(-16)/(-52). Suppose 3 = t + 1. Solve 2/19*k**3 + 6/19*k + 10/19*k**t - p*k**4 + 0 = 0 for k.
-1, 0, 3
Let r(p) be the second derivative of -p**10/40320 + p**9/6720 - 3*p**8/8960 + p**7/3360 - 8*p**4 - 103*p. Let x(m) be the third derivative of r(m). Factor x(l).
-3*l**2*(l - 1)**3/4
Let i(a) be the first derivative of -a**6/3 - 8*a**5 + 201*a**4/2 - 1232*a**3/3 + 772*a**2 - 672*a - 1981. Determine v, given that i(v) = 0.
-28, 1, 2, 3
What is w in -15*w**3 + 33*w**3 + 420*w - 5*w**3 - 10*w**3 + 216*w**2 = 0?
-70, -2, 0
Let m(n) be the first derivative of -1/3*n**3 - 31/2*n**2 + 0*n + 1. Factor m(d).
-d*(d + 31)
Suppose -12*v + 24 + 156 = 0. Suppose 5*i + v = 10*i + 5*d, -5*i + 4*d = -6. Solve -f**2 + 22*f + 12 - f**i - 24*f = 0 for f.
-3, 2
Let s(f) = 2*f**2 - 27*f - 9. Let l be s(14). Suppose 9*n**3 - 13*n**4 - 2*n - 36*n**5 + 70*n**5 + n**2 - 29*n**l = 0. What is n?
-2/5, 0, 1
Let m = 16292954/25 + -651718. Factor m*l**2 + 2/5 + 22/25*l.
2*(l + 5)*(2*l + 1)/25
Let d(f) = -3*f**3 + 47*f**2 - 192*f + 2. Let z(l) = l**3 - 9*l**2 + 3*l + 39. Let c be z(8). Let k(x) = -x**2 + 2. Let a(y) = c*k(y) + d(y). Factor a(r).
-3*r*(r - 8)**2
Let w(t) be the third derivative of 4/1155*t**7 + 0*t**3 + 77 + 0*t - 1/110*t**6 - 1/1848*t**8 - 3*t**2 - 1/132*t**4 + 2/165*t**5. Factor w(j).
-2*j*(j - 1)**4/11
Let p(q) be the third derivative of 0*q**3 + 1/5*q**5 + 0 + 1/30*q**6 - 2*q**2 - 3*q + 0*q**4. Factor p(w).
4*w**2*(w + 3)
Suppose 33*r = 31*r - 4*z, -3*z = -4*r + 22. Let q(n) be the first derivative of 1/12*n**4 - 7/9*n**3 - 1 + 8/3*n**2 - r*n. Factor q(y).
(y - 3)*(y - 2)**2/3
Let x(w) = -2*w**3. Let d(b) = -5*b**3 + 168*b**2 + 9408*b + 175616. Let o be 3 + -9 + 3 + 1 + -1. Let j(t) = o*x(t) + d(t). Find n such that j(n) = 0.
-56
Let a = 62 + -18. Suppose -24 + a = 5*i. Solve -5*s**3 + 0*s**4 + 0*s**i - s**4 + 6*s**3 = 0 for s.
0, 1
Let y(z) be the third derivative of z**7/525 - 91*z**6/150 + 8281*z**5/150 + 885*z**2. Determine x so that y(x) = 0.
0, 91
Let f(z) be the second derivative of -121*z**6/30 + 33*z**5/10 - 9*z**4/8 - 11*z**3/3 + 235*z. Let h(t) be the second derivative of f(t). Factor h(b).
-3*(22*b - 3)**2
Let n(c) = 31*c**2 + 5. Let s = -93 - -91. Let d be n(s). What is g in 66 - 3*g**2 - d + 63 - 6*g = 0?
-2, 0
Let w = -3913580/3 - -1304528. Determine a, given that 0*a - w*a**3 + 20/3*a**4 + 0 - 4*a**5 - 4/3*a**2 = 0.
-1/3, 0, 1
Factor -57*f**2 + 1669*f + 611618 + 1173*f - 630*f + 29*f**2 + 30*f**2.
2*(f + 553)**2
Factor 0*p + 0 + 717/8*p**3 + 179/8*p**2 + 1/2*p**4.
p**2*(p + 179)*(4*p + 1)/8
Let i be (468/(-1170))/(1 + ((-84)/(-8))/(-7)). Suppose 4/5*b - i*b**3 + 6/5*b**2 - 1/5*b**4 - 1 = 0. What is b?
-5, -1, 1
Let t(q) = 14*q**2 + 264*q + 5797. Let y(c) = -27*c**2 - 528*c - 11595. Let d(r) = -21*t(r) - 11*y(r). Suppose d(b) = 0. Calculate b.
-44
Let i(w) be the third derivative of 1/672*w**8 + 62*w**2 - 1/105*w**7 + 0 + 1/60*w**5 + 0*w + 1/6*w**3 - 5/48*w**4 + 1/60*w**6. Suppose i(r) = 0. What is r?
-1, 1, 2
Let a(x) = -4*x**4 - 283*x**3 + 567*x**2 - 3*x + 3. Let j(i) = -6*i**4 - 567*i**3 + 1133*i**2 - 5*i + 5. Let p(w) = -5*a(w) + 3*j(w). Factor p(z).
2*z**2*(z - 141)*(z - 2)
Let c be -12 - 21/210*-792. Factor -2/5*u**3 + 288/5 + 10*u**2 - c*u.
-2*(u - 12)**2*(u - 1)/5
Let g(f) be the third derivative of -6/7*f**4 + 1/105*f**5 + 0 + 216/7*f**3 + 0*f - 12*f**2. Factor g(v).
4*(v - 18)**2/7
Let u(s) be the second derivative of s**7/14 + s**6/2 + 21*s**5/20 - s**4/4 - 4*s**3 - 6*s**2 + 849*s. Find j, given that u(j) = 0.
-2, -1, 1
Let u(h) = 5*h**3 + h**2 - 18*h + 15. Let x(l) = 14*l**3 + 4*l**2 - 54*l + 28. Let f(m) = -8*u(m) + 3*x(m). Let f(o) = 0. Calculate o.
-3, -2, 3
Let x(y) = 8*y**3 - 5*y**2 + y + 12. Let k be x(4). Let h = k + -893/2. Factor 0 + 3/2*v**3 - 3/2*v + 3/2*v**4 - h*v**2.
3*v*(v - 1)*(v + 1)**2/2
Let n be (((-675)/20)/15)/((-39)/(-8)) + (-32)/(-13). Determine x, given that -33/7*x + 15/7 + 6/7*x**n = 0.
1/2, 5
Suppose 9*r + 4*v = 5*r + 16, -r = 5*v + 4. Let j be (-156)/(-72) - (-2)/r. What is i in 5/2*i - 1/2*i**4 + 2 - 3/2*i**2 - j*i**3 = 0?
-4, -1, 1
Let x(c) = c**2 + 8*c + 2. Let z be x(0). Suppose -15 + i**3 - 3*i**3 + 7*i**3 - 5*i + 9*i**2 + 6*i**z = 0. What is i?
-3, -1, 1
Let k(x) be the third derivative of 2*x**7/105 + 2*x**6/5 + 44*x**5/15 + 8*x**4 - 1879*x**2. Factor k(p).
4*p*(p + 2)*(p + 4)*(p + 6)
Suppose 60*y**4 + 0 + 0*y**2 + 0*y + 2/5*y**5 + 2250*y**3 = 0. Calculate y.
-75, 0
Find y, given that -44*y**3 - 67*y**5 - 125*y**2 + 61*y**5 + 26*y**4 + 8*y**4 + 141*y**2 = 0.
0, 2/3, 1, 4
Suppose -9*d - n = -4*d - 11, -4*n = 5*d - 14. Let y = 54335/7 + -7762. Solve -2*c - 7 - y*c**d = 0.
-7
Factor -x**3 + 1232 + 184*x**2 - 1376*x - 36*x**2 - 15*x**3 + x**3 + 11*x**3.
-4*(x - 22)*(x - 14)*(x - 1)
Let g(i) be the second derivative of -2*i**6/55 - 973*i**5/110 - 6588*i**4/11 - 2187*i**3/11 - 7459*i. Factor g(w).
-2*w*(w + 81)**2*(6*w + 