632*z - 779296 + 4*z**5 - 4672*z**3.
2*(z - 14)**3*(z + 2)*(z + 71)
Let p(o) = o**3 + 39*o**2 + 4*o + 165. Let c be p(-39). Suppose -62 + 26 = -c*l. Factor 72/5 - 24*n + l*n**3 + 2/5*n**4 + 26/5*n**2.
2*(n - 1)**2*(n + 6)**2/5
Let i(t) be the second derivative of t**4/54 - 52*t**3/27 + 68*t**2 - 4903*t. Find g such that i(g) = 0.
18, 34
Let h be (36 - -3)*2/(-3). Let y = -17 - h. Factor -1 - 39*n**2 - 6*n**2 - 10 + 60*n - y.
-5*(3*n - 2)**2
Suppose 2160 + 3/5*f**4 + 366/5*f**3 + 4392*f + 11523/5*f**2 = 0. Calculate f.
-60, -1
Let r = 247777/90 + -2753. Let f(n) be the second derivative of -r*n**6 + 5/36*n**4 + 1/3*n**2 + 2*n + 3/20*n**5 - 1/2*n**3 + 0. Determine s so that f(s) = 0.
-1, 2/7, 1
Let b(o) be the third derivative of 16*o**7/945 + 146*o**6/135 + 5473*o**5/270 + 73*o**4/3 + 12*o**3 - 1337*o**2. Let b(f) = 0. What is f?
-18, -1/4
Let x = -643/1033 - -14557/13429. Factor -20/13*h - x - 12/13*h**3 - 2/13*h**4 - 24/13*h**2.
-2*(h + 1)**3*(h + 3)/13
Let j(a) be the third derivative of -a**5/270 - 5*a**4/108 + 2*a**3/9 - 1067*a**2. Factor j(k).
-2*(k - 1)*(k + 6)/9
Let v(x) be the first derivative of -x**6/48 - 7*x**5/40 + 55*x**4/32 + 271*x**3/24 + 105*x**2/8 - 4505. Solve v(w) = 0 for w.
-10, -3, -1, 0, 7
Let c(n) be the first derivative of n**4 - 28*n**3 + 1686. Factor c(u).
4*u**2*(u - 21)
Let s(v) be the second derivative of -v**5/45 + 8*v**4/27 + 2*v**3/27 - 16*v**2/9 - v - 89. Factor s(p).
-4*(p - 8)*(p - 1)*(p + 1)/9
Let j(b) be the third derivative of 7/12*b**4 + 0 - 1/10*b**6 - 1/21*b**7 + 162*b**2 + 1/15*b**5 - 1/168*b**8 + b**3 + 0*b. Determine q so that j(q) = 0.
-3, -1, 1
Suppose 0 = 4*r + 11 - 23. Let -r*b + 4*b**2 - 452 - 2*b**2 + 436 - b = 0. Calculate b.
-2, 4
Let j(t) = t**3 + 133*t**2 - 248*t + 123. Let d(v) = 2*v**3 + 270*v**2 - 497*v + 246. Let i(p) = -6*d(p) + 14*j(p). Determine n so that i(n) = 0.
-123, 1
Let j be (-2*(-28)/(-12))/(2/15). Let f = -30 - j. Factor 140 + 15*y - f*y**2 - 140.
-5*y*(y - 3)
Let o(c) = -56205*c**2 - 54900*c - 13490. Let y(q) = -18722*q**2 - 18300*q - 4497. Let n(w) = -3*o(w) + 10*y(w). Factor n(j).
-5*(61*j + 30)**2
Let v be (-105)/(-33) + 16/(-88). Factor -12*g - 3*g**3 - 3*g**4 + 2*g**3 - 18*g**2 + g**v - 12*g**3 - 3.
-3*(g + 1)**4
Let u(r) = r**3 + 3*r**2 - 2*r + 13. Let m be u(-4). Factor -30*f**3 + 24 + 9*f**3 + 15*f - m*f**3 - 9*f**3 + 65*f**2 + 5*f**4 - 114.
5*(f - 3)**2*(f - 2)*(f + 1)
Find m such that -59/4*m**3 + 28431/4*m + 216513/2 - 405/4*m**2 - 1/4*m**4 = 0.
-27, 22
Factor -25*r + 38*r**2 + 0 - 53/4*r**3 + 1/4*r**4.
r*(r - 50)*(r - 2)*(r - 1)/4
Let u(b) be the second derivative of b**4/24 - 13*b**3/4 + 19*b**2/2 - 6829*b. Factor u(x).
(x - 38)*(x - 1)/2
Find l such that -8028*l + 2555*l - 374 + 2617*l + 1014 + l**2 + 2692*l = 0.
4, 160
Let 571 - 331 - g**2 + 76*g + 109*g**2 - 4*g**3 + 276*g + 0*g**3 = 0. What is g?
-2, -1, 30
Let m = 8633 - 8628. Let p(o) be the second derivative of 0*o**3 - 17*o + 0*o**2 + 0*o**4 - 1/15*o**6 - 1/10*o**m + 0. Factor p(i).
-2*i**3*(i + 1)
Let w(s) = s**2 + 824*s - 10029. Let d be w(12). Solve -1/6*i**4 - 1/2*i**d + 2*i + 0 + 2/3*i**2 = 0 for i.
-3, -2, 0, 2
Suppose 0 = 3*d + 3, -5*l - d + 0*d = -14. Factor -48 + 15*m - 235*m + m**2 - 19*m**2 + 4*m**2 + 18*m**l.
2*(m - 4)*(m + 3)*(9*m + 2)
Factor -465*y**3 + 468*y**3 - 12 + 51*y**2 + 12 - 54*y.
3*y*(y - 1)*(y + 18)
Let h = 892 + -899. Let x be h - (-8 - -12) - -13. Let -3/2 - 63/8*q**x - 15/2*q**3 + 15/2*q + 75/8*q**4 = 0. Calculate q.
-1, 2/5, 1
Let v(z) be the third derivative of z**8/168 + 8*z**7/105 - 47*z**5/15 - 65*z**4/12 + 50*z**3 - 2*z**2 + 60. Solve v(m) = 0.
-5, -2, 1, 3
Suppose 4*s = -3*s + 56. Let t be (-10)/6 - (s + (-6097)/429). Factor -90/11*l**2 - 48/11*l - 8/11 - t*l**3.
-2*(l + 1)*(5*l + 2)**2/11
Suppose 681*f - 4105 = 91*f + 6515. Factor 0 - 4*k + f*k**2 + 5/4*k**4 + 39/4*k**3.
k*(k + 4)**2*(5*k - 1)/4
Factor -291496352 + 324065040 + 2661336*j - j**3 + 1643*j**2 + 2353*j**2 + 558247904 + 3*j**3.
2*(j + 666)**3
Let n(f) be the second derivative of -3*f**5/5 + 21*f**4/4 - 7*f**3 - 36*f**2 + 163*f. Let n(i) = 0. What is i?
-3/4, 2, 4
Let i(j) = -2*j**3 + 39*j**2 + 96*j + 40. Let v(n) = -2*n**3 + 38*n**2 + 98*n + 38. Let x(f) = -8*i(f) + 6*v(f). Suppose x(p) = 0. Calculate p.
-1, 23
Let b be (-1)/((6/(-21))/(12/21)). Factor -15*l - 10 + 34*l**2 + 43*l**2 - 82*l**b.
-5*(l + 1)*(l + 2)
Factor -76832/15*k - 2/15*k**4 - 1078/5*k**2 - 307328/15 + 196/15*k**3.
-2*(k - 56)**2*(k + 7)**2/15
Let -29/5*w + 0 - 1/5*w**4 + 29/5*w**3 + 1/5*w**2 = 0. What is w?
-1, 0, 1, 29
Suppose -952590*a**2 + 45*a + 952588*a**2 + 263*a - 306 = 0. Calculate a.
1, 153
Let i(c) be the first derivative of 0*c - 235/4*c**4 - 33 - c**5 - 2645/2*c**2 - 2875/3*c**3. Find l such that i(l) = 0.
-23, -1, 0
Determine s, given that -19 - 59*s - 30*s**2 + 3*s**3 - 3*s - 59 - 49*s = 0.
-2, -1, 13
Let m(c) be the third derivative of c**6/180 - c**5/30 - 13*c**4/36 + 5*c**3/3 + 981*c**2. What is t in m(t) = 0?
-3, 1, 5
Let d(p) be the second derivative of 25*p**4/12 - 215*p**3/2 - 695*p**2 + 8531*p. Solve d(i) = 0.
-2, 139/5
Let x be 2 - 0/((-14)/(-4)*48/(-84)). Factor -2/3*u**5 - 14*u**3 - 4*u + 0 - 6*u**4 - 38/3*u**x.
-2*u*(u + 1)**3*(u + 6)/3
Suppose 9*w - 37 = 53. Factor w*g**3 - 3*g + 6*g**4 + g - g**3 - 6*g + 5*g**3.
2*g*(g + 1)*(g + 2)*(3*g - 2)
Let n(a) be the third derivative of 0*a - 40*a**2 + 5/2*a**4 - 10/3*a**3 - 5/24*a**6 + 0 - 1/4*a**5. Let n(m) = 0. Calculate m.
-2, 2/5, 1
Let m(y) be the third derivative of 3/40*y**6 + 83*y**2 + 3*y**3 - 1/4*y**4 - 9/40*y**5 + 0*y - 1/140*y**7 + 0. Find i, given that m(i) = 0.
-1, 2, 3
Let r(s) be the third derivative of -s**6/360 + 7*s**5/120 - s**4/4 - 52*s**3 - 59*s**2 - 1. Let i(m) be the first derivative of r(m). Factor i(f).
-(f - 6)*(f - 1)
Factor 4/7*n**5 + 6096/7 + 6112/7*n**4 + 3484*n + 36592/7*n**2 + 24408/7*n**3.
4*(n + 1)**4*(n + 1524)/7
Let z(b) be the second derivative of b**4/3 - 680*b**3/3 + 1352*b**2 + b + 3517. What is o in z(o) = 0?
2, 338
Suppose -m + 69 = 67. Factor 8*j - 6*j + 16 - 14*j - 4*j + 4*j**m.
4*(j - 2)**2
Suppose -3*n + 41 + 16 = 0. Let a(b) = b**3 - 21*b**2 + 35*b + 59. Let d be a(n). Let 1 - 9/2*v**d - 7/2*v = 0. What is v?
-1, 2/9
Let m(z) be the second derivative of -z**9/6048 + z**8/3360 + z**7/1680 - z**6/720 + 25*z**3/3 + 83*z. Let n(b) be the second derivative of m(b). Factor n(f).
-f**2*(f - 1)**2*(f + 1)/2
Let p be (-64)/(-55)*(-530)/(-424). Let q(k) be the first derivative of p*k - 7 - 12/11*k**2 + 4/11*k**3 - 1/22*k**4. What is x in q(x) = 0?
2
Suppose 21*k = 20*k + 4*o - 13, -k + 2*o - 5 = 0. Suppose 0 = 19*w - 15*w + 4*c, k*w + c - 4 = 0. What is x in -16/17*x + 2/17*x**w + 24/17 = 0?
2, 6
Let w be (9/(-12))/(-18 - (-3366)/192). Let s(y) be the first derivative of 0*y**2 + 2/15*y**3 + 4 - w*y. Factor s(j).
2*(j - 2)*(j + 2)/5
Let d(l) be the first derivative of -2/5*l**3 + 3/20*l**4 - 9/10*l**2 + 0*l + 59. Factor d(w).
3*w*(w - 3)*(w + 1)/5
Let y(p) = 155*p**2 - 57*p + 102. Let k(n) = -49*n**2 + 19*n - 34. Let x(d) = 19*k(d) + 6*y(d). Suppose x(h) = 0. What is h?
2, 17
Let n(d) = -2*d + 18. Let z be 0 + 25/(-5) - -13. Let w be n(z). Factor 0 + 1/3*g**3 - 2/3*g**4 + 2/3*g**w - 1/3*g.
-g*(g - 1)*(g + 1)*(2*g - 1)/3
Suppose 0 = m - 3*w + 2, 5*m = -2*w + 41. Suppose 0 = 4*x - 16, -10 = -3*p - 3*x + 2*x. Suppose 3*l - l + p*l**2 - m + 5 - 10 = 0. What is l?
-3, 2
Suppose u = 3, -3*v = v - u + 23. Let p be 3/12*0/v. Factor p - 8/5*t**3 + 4/5*t**2 + 4/5*t**4 + 0*t.
4*t**2*(t - 1)**2/5
Let l(u) be the second derivative of -7*u**4/3 + 1030*u**3/3 + 444*u**2 - 5953*u. Factor l(d).
-4*(d - 74)*(7*d + 3)
Let q = -820 - 1072. Let l be q/(-3366) + 2/(-17). Solve 2/3*u + 4/9 - l*u**3 - 2/3*u**2 = 0.
-2, -1/2, 1
Let b(s) = 14*s - 2. Let m be b(23). Let o be ((-16)/(m/6))/((-12)/5). Factor 0*k + 0 + 1/8*k**4 - o*k**2 + 0*k**3.
k**2*(k - 1)*(k + 1)/8
Suppose 0 = 173*n - 169*n - 0 - 8. Let b(a) be the second derivative of -1/21*a**4 + 3*a - 4/7*a**3 + 0 - 18/7*a**n. Solve b(u) = 0.
-3
Let m(d) be the third derivative of 3/11*d**4 - 1/330*d**5 + 0 - 108/11*d**3 + 11*d**2 + 0*d. Factor m(i).
-2*(i - 18)**2/11
Suppose -32*w + 463 + 471 = 838. Let j(b) be the first derivative of 15 - 4/3*b**w - 256*b + 32*b**2. Factor j(v).
-4*(v - 8)**2
Let q