*(h + 6)*(h + 27)
Let c(u) be the third derivative of 5/12*u**4 + 0 + 1/30*u**5 + 2*u**3 + 23*u**2 - u. Factor c(b).
2*(b + 2)*(b + 3)
Let z(u) be the third derivative of 0*u - 1/90*u**5 - 1/18*u**4 + 1/180*u**6 + 0*u**3 + 0 - 177*u**2. Suppose z(r) = 0. What is r?
-1, 0, 2
Let g = 5/557 - -2213/1671. Let x(a) be the first derivative of 21 + 1/2*a**4 + g*a**3 - 3*a**2 + 0*a. Solve x(d) = 0.
-3, 0, 1
Determine d, given that 12 - 85*d - 441*d - 119*d + 635*d**2 - 652 + 645*d**3 + 5*d**4 = 0.
-128, -1, 1
Let b(u) be the first derivative of -2*u**3/3 - 480*u**2 + 962*u - 7824. Solve b(n) = 0 for n.
-481, 1
Let m(g) be the second derivative of 1/27*g**4 + 0*g**3 + 0*g**2 + 0 + 238*g. Factor m(i).
4*i**2/9
Let c(m) = 2096 - 1047 + 3*m**2 - 1003 + 90*m. Let r(f) = 2*f**2 + 90*f + 46. Let b(t) = -6*c(t) + 7*r(t). Solve b(i) = 0 for i.
-1/2, 23
Let g = -1024 - -623. Let m = g - -803/2. Find v such that 2 - m*v**2 + 2*v - 1/2*v**3 = 0.
-2, -1, 2
Let a(v) be the first derivative of v**4/24 - 4*v**3/3 + 15*v**2/4 + 23*v + 51. Let g(z) be the first derivative of a(z). Let g(k) = 0. What is k?
1, 15
Suppose -720 + 848 = 32*y. Let b(h) be the first derivative of -6/7*h + 5/7*h**3 - 3/14*h**y - 3/14*h**2 + 17. Solve b(c) = 0 for c.
-1/2, 1, 2
Let l be ((-33)/22 + 1)*-3. Let w(k) be the second derivative of 0 + 15*k - l*k**3 + 3*k**2 + 3/20*k**5 + 0*k**4. Find v such that w(v) = 0.
-2, 1
Suppose 1/5*u**3 + 0 + 12/5*u**2 - 13/5*u = 0. What is u?
-13, 0, 1
Let s(q) be the second derivative of -q**5/30 + 2*q**4/9 + 25*q**3/9 - 28*q**2/3 + 20*q. Let s(n) = 0. What is n?
-4, 1, 7
Factor -4/9*x**2 + 4/3 + 10/9*x - 2/9*x**3.
-2*(x - 2)*(x + 1)*(x + 3)/9
Let p = -149848/3 + 49952. Factor 2/3*w + 8/3*w**2 + p*w**4 + 2/3*w**5 + 0 + 4*w**3.
2*w*(w + 1)**4/3
Let x(u) be the third derivative of -u**9/1008 + 3*u**7/280 - u**6/60 + 133*u**3/6 + 104*u**2. Let t(f) be the first derivative of x(f). Factor t(c).
-3*c**2*(c - 1)**2*(c + 2)
Let m be 43348/42 + 70/(-735). Let g = m + -3094/3. Solve 0 - 1/3*i**2 + g*i = 0.
0, 2
Let j be 46/6*1 - 8/(-6). Suppose -j = c - 2*c. Factor 4*m - 3*m + 24 + 33*m - 4*m - c*m**2.
-3*(m - 4)*(3*m + 2)
Suppose 6*c - q = 8*c - 8, -5*c + 3*q + 9 = 0. Suppose 0 = a + 5, 0 = -2*b - c*b - 2*a. Factor r + 4 - 1/2*r**b.
-(r - 4)*(r + 2)/2
Let o(l) = -21*l**2 + 426*l + 30. Let a = -216 + 218. Let r(h) = -3*h**2 + 61*h + 4. Let k(b) = a*o(b) - 15*r(b). Factor k(j).
3*j*(j - 21)
Suppose -6*o + 40 = 2*o. Find u, given that o*u**2 - 6*u**3 - 9*u**2 + 0*u**2 + 24*u + 2*u**4 - 16 = 0.
-2, 1, 2
Factor 7*o**2 - 1/7*o**3 + 3971/7 - 779/7*o.
-(o - 19)**2*(o - 11)/7
Let c(q) = q**2 - 2*q + 4. Let o(z) = -16*z**2 + 7160*z - 2848. Let f(d) = 4*c(d) - o(d). Find s such that f(s) = 0.
2/5, 358
Let n(k) = k**4 - 3*k**3 - 2*k**2. Let o(t) = -20*t**4 - 374*t**3 + 736*t**2 - 144*t - 142. Let f(b) = 28*n(b) + 2*o(b). Determine d, given that f(d) = 0.
-71, -1/3, 1
Solve 735/2 - 5*r**4 - 1975/2*r + 475/2*r**3 + 775/2*r**2 = 0 for r.
-3, 1/2, 1, 49
Let n(w) = -w**2 + w + 1. Let c(z) = 8*z**2 - 12*z - 6. Let p = 8 + -11. Let t be 6 + -2 + p - 2. Let g(j) = t*c(j) - 6*n(j). Solve g(m) = 0 for m.
0, 3
Let n(o) be the first derivative of -o**3 - 63*o**2 - 1248*o + 5461. Factor n(v).
-3*(v + 16)*(v + 26)
Let t(o) be the third derivative of o**5/30 - 9*o**4/28 - 1002*o**2. Factor t(x).
2*x*(7*x - 27)/7
Let s = 79 + -77. Let g(i) = -i**2 - 8*i - 12. Let b be g(-5). Suppose 3*q - 2*q**2 + 3*q**4 - 3*q**3 + b*q**5 - 3*q**3 + 0*q**s - 4*q**2 + 3 = 0. Calculate q.
-1, 1
Let b be 220/(-55) + (10 - 2). Determine z, given that 78*z**4 - 179*z**b + z**2 + 86*z**4 - 10*z**3 - z**2 - 5*z**5 = 0.
-2, -1, 0
Let j(c) = 9*c**2 - 163*c + 473. Let l(y) = -8*y**2 + 164*y - 472. Let g(n) = 4*j(n) + 5*l(n). Factor g(z).
-4*(z - 39)*(z - 3)
Let g(f) = -90*f - 618. Let m be g(-7). Suppose -1644*u = -1650*u + m. Solve 0 - 2/19*b**3 + 0*b - 2/19*b**u = 0.
-1, 0
Let r be (32 + -31)*((-10)/(-4) - 48/(-96)). Factor -50/11 - 30/11*n + 18/11*n**2 - 2/11*n**r.
-2*(n - 5)**2*(n + 1)/11
Let m be 10/(-16)*(-38)/4275. Let w(g) be the third derivative of 0*g**5 + 0*g + 8*g**2 - m*g**6 + 2/9*g**3 + 0 + 1/12*g**4. Determine v, given that w(v) = 0.
-1, 2
Let t = -10273 + 10278. Let j(h) be the third derivative of 4*h**2 + 1/30*h**4 + 0 + 0*h + 1/15*h**3 - 1/50*h**t. Factor j(n).
-2*(n - 1)*(3*n + 1)/5
Let c(l) be the second derivative of l**6/70 - 3*l**5/35 - 4*l**4/7 + 32*l**3/7 + 1384*l. Let c(m) = 0. What is m?
-4, 0, 4
Let k(c) be the first derivative of c**5/5 - 31*c**4/20 - 29*c**3/15 + 7*c**2/10 - 2878. Factor k(p).
p*(p - 7)*(p + 1)*(5*p - 1)/5
Let i = 2363/60 - 2147/60. Factor 0*q - i + 2/5*q**2.
2*(q - 3)*(q + 3)/5
Let f(r) be the second derivative of -2*r**7/21 + 10*r**6/3 - 139*r**5/5 - 269*r**4/3 + 1144*r**3/3 + 1352*r**2 + 5076*r. Suppose f(a) = 0. Calculate a.
-2, -1, 2, 13
Factor -8*k**3 - 1002*k**5 - 200*k**2 + 998*k**5 + 0 - 12*k**3 + 32*k**4 + 0.
-4*k**2*(k - 5)**2*(k + 2)
Let o = 11/1640 + 52359/18040. Solve o - 12/11*h - 2/11*h**2 = 0 for h.
-8, 2
Let f be -4 - ((-24)/(-84) - (-94)/14). Let p(c) = c**2 + 5*c - 64. Let i be p(f). Solve 0 + 2/3*s**3 - i*s - 11/3*s**2 = 0 for s.
-1/2, 0, 6
Let x(i) be the second derivative of -i**6/40 + i**5/4 + 103*i**2/2 + 41*i. Let f(z) be the first derivative of x(z). Factor f(j).
-3*j**2*(j - 5)
Let z be 16/6*(-97)/(-388). Let v(g) be the second derivative of z*g**2 + 1/9*g**3 - g - 1/18*g**4 + 0. Factor v(x).
-2*(x - 2)*(x + 1)/3
Let p be 2/14 + 13/(-91). Suppose b + 0*b - 8 = p. Suppose -b - 2*z**2 + 3 - 2*z + 7 + 2*z**3 = 0. What is z?
-1, 1
Determine x so that 0*x**2 + 0*x**4 + 0*x + 25/3*x**3 - 1/3*x**5 + 0 = 0.
-5, 0, 5
Suppose -37*g = -43*g. Let l(n) be the first derivative of -1/2*n**4 + 8/3*n**3 + 2 - 4*n**2 + g*n. What is a in l(a) = 0?
0, 2
Let u be -6*11/(-231)*(15 - 1). Factor -23*k**2 + 7*k**2 + 7*k**2 + 3*k**4 - u*k**4 - 6*k**3.
-k**2*(k + 3)**2
Let q = -30 + 78. Let c be 74/4 - 13/((-182)/21). Solve 7*l**5 - 4*l**2 - 12*l**4 + q*l**5 - 19*l**5 - c*l**3 = 0 for l.
-1/3, 0, 1
Suppose 9*f - 35 = 19. Let c be -2 + (-12)/(-4)*f + -3. Solve 61*b - 24 + 4*b**2 - 7*b - 21*b - c*b = 0.
-6, 1
Let i be 1/(-8)*1 + (-66)/(-528). Find c, given that i*c**2 - c**2 - 41*c**2 + 9*c + 12 + 113*c = 0.
-2/21, 3
Let i(q) = 20*q**2 - 40*q - 15. Let x(a) = a + 5. Let h be x(5). Let d(s) = 5*s**2 - 129 + 61 + 64 - h*s. Let u(y) = -15*d(y) + 4*i(y). Factor u(m).
5*m*(m - 2)
Let k(h) = -2*h + 15. Let j be k(7). Let y be -4 + j + (-4 - -98) + 6. Let 4*n**2 - 103 + 64*n + 124 + y + 138 = 0. What is n?
-8
Let h(f) be the second derivative of f**4/6 + 3124*f**3/3 + 2439844*f**2 - 12*f + 94. Let h(m) = 0. Calculate m.
-1562
Let p(r) be the second derivative of -2*r**6/15 - 22*r**5/5 - 20*r**4 - 116*r**3/3 - 38*r**2 - 90*r + 2. Factor p(l).
-4*(l + 1)**3*(l + 19)
Let y(v) be the second derivative of -v**5/80 + 19*v**4/32 - 315*v**2/2 - 135*v. Let z(t) be the first derivative of y(t). Suppose z(h) = 0. Calculate h.
0, 19
Factor 28 + y**2 - 87*y - 129 + 13.
(y - 88)*(y + 1)
Let i(h) be the first derivative of 28 + 3/40*h**5 + 9/4*h**4 + 27*h**3 + 162*h**2 - 10*h. Let t(w) be the first derivative of i(w). Let t(m) = 0. Calculate m.
-6
Let l(n) be the third derivative of -841*n**6/180 - 2349*n**5/10 - 242*n**4/3 - 100*n**3/9 + 65*n**2 - 44. Let l(s) = 0. Calculate s.
-25, -2/29
Suppose 16*h = -1828 + 2724. Let r be (35/h)/(3/((-18)/(-15))). Let 0 + 11/4*a - r*a**2 = 0. Calculate a.
0, 11
Let i(t) = 2*t**2 - 2054*t + 22355. Let v be i(11). Factor 9/2 + 39/4*n + 6*n**2 + 3/4*n**v.
3*(n + 1)**2*(n + 6)/4
Let a(y) = -47*y**2 + 786*y + 221. Let o be a(17). Suppose 1/3*q + q**4 - q**2 - 1/3*q**3 + o = 0. What is q?
-1, 0, 1/3, 1
Let r(i) = 35*i**2 + 2795*i + 1240. Let q(z) = 37*z**2 + 2798*z + 1240. Let d(j) = 5*q(j) - 4*r(j). Factor d(s).
5*(s + 62)*(9*s + 4)
Let r(g) be the first derivative of -2*g**3/3 + 40*g**2 - 78*g + 2167. Factor r(x).
-2*(x - 39)*(x - 1)
Let j(t) be the third derivative of -31*t**2 + 1/18*t**6 + 0*t**3 + 0 + 0*t**5 + 3*t + 0*t**4 + 1/168*t**8 - 17/315*t**7. What is n in j(n) = 0?
0, 2/3, 5
Let l = 171 + -177. Let i(j) = -7*j**2 - 3*j + 24. Let x(k) = -4*k**2 - 2*k + 12. Let p(y) = l*i(y) + 10*x(y). Let p(m) = 0. What is m?
-3, 4
Let y(t) be the second derivati