 0*a**2 - n*a**5 - 4/3*a**3 + 0*a.
-a**3*(a + 2)**2/3
Factor -1412/5*t - 476/5*t**3 + 1416/5*t**2 + 2/5*t**4 + 94.
2*(t - 235)*(t - 1)**3/5
Let k(u) be the third derivative of -u**5/90 - 41*u**4/36 - 10*u**2 - 7. Factor k(d).
-2*d*(d + 41)/3
Suppose 0 = 38*n - 127*n. Let q(t) be the third derivative of 0*t**3 + 1/48*t**6 - 1/42*t**7 + 0*t + 5/672*t**8 + n*t**4 + 0*t**5 - 18*t**2 + 0. Factor q(d).
5*d**3*(d - 1)**2/2
Let p(f) be the second derivative of 3/4*f**2 + f + 38 - 1/32*f**4 - 1/12*f**3 + 1/160*f**5. What is o in p(o) = 0?
-2, 2, 3
Let x(b) = -b**2 - 5*b + 8. Let v be x(-6). Let t be (-110)/(-35) + 3/(-21). Solve -4*i**3 - 5 + 6*i**3 + 27*i**v - 45*i - 5*i**t + 26 = 0 for i.
1, 7
Let r(t) be the third derivative of -5*t**8/1008 - 4*t**7/9 + t**6/36 + 28*t**5/9 - 5*t**4/72 - 140*t**3/9 - 1059*t**2. Suppose r(o) = 0. Calculate o.
-56, -1, 1
Let i(k) = -k**3 - 2*k**2 + 4*k + 8. Let a be i(-3). Suppose -60 = -5*o + 4*h + h, -h + 30 = a*o. Factor 3*p**2 + 7*p**2 - 11*p**2 + o*p.
-p*(p - 7)
Let n(w) = 73*w + 73. Suppose -2*z - 42*z - 44 = 0. Let p be n(z). Factor 6/7*r**2 + 4/7*r - 2/7*r**4 + p*r**3 + 0.
-2*r*(r - 2)*(r + 1)**2/7
Let z(s) be the first derivative of -s**4 + 68*s**3/3 + 258*s**2 + 828*s + 809. Find v such that z(v) = 0.
-3, 23
Let z be ((-94017)/(-12210))/((-22)/(-35)). Suppose 0 + 13/4*f**3 - z*f - 1/4*f**4 - 35/4*f**2 = 0. What is f?
-1, 0, 7
Suppose 30 + 145 = 25*z. What is g in 14*g - 20*g**2 - 21*g**4 + 50*g - z*g**4 - g**5 - 3*g**5 - 60*g**3 + 48 = 0?
-3, -2, -1, 1
Factor -14/5*q + 36/5 - 2/5*q**2.
-2*(q - 2)*(q + 9)/5
Let r be ((-4)/(-16))/((-87)/(-464)). Let x be ((-2)/(-3))/((-4)/(-8)). Factor x*z**2 - 4/3*z + r*z**3 - 4/3.
4*(z - 1)*(z + 1)**2/3
Let q(d) be the first derivative of d**3 - 135*d**2/2 + 132*d + 97. Suppose q(v) = 0. What is v?
1, 44
Let n(s) be the first derivative of 89 - 4*s + 1/3*s**3 + s**2 - 1/8*s**4. Find h such that n(h) = 0.
-2, 2
Let q(u) be the third derivative of -85*u**8/42 + 334*u**7/105 + 171*u**6/10 - 161*u**5/15 - 343*u**4/6 - 4*u**3 - 2*u**2 + 4*u - 1. Solve q(i) = 0.
-1, -3/170, 1, 2
Suppose -11750 = -8*i + 19410. Let b = -50611/13 + i. Solve -4/13*n + 0 + 34/13*n**3 + b*n**4 + 6/13*n**2 = 0 for n.
-1, -2/3, 0, 1/4
Let n(q) be the first derivative of q**3/12 - 146*q**2 + 85264*q - 857. Let n(y) = 0. Calculate y.
584
Suppose -82*z + 75*z = -4571. Let t = -649 + z. Find q such that -10*q**3 - 5/2*q**t + 0*q - 10*q**2 + 0 = 0.
-2, 0
What is a in 81*a - 67*a - 14*a**3 - a**4 + 49 + 106*a**2 - 154*a**2 = 0?
-7, -1, 1
Let o(f) = -f**3 + f + 7. Let t(i) = -3*i**4 - 13*i**3 + i**2 + 13*i + 58. Let d(n) = 24*o(n) - 3*t(n). Solve d(s) = 0 for s.
-1, -2/3, 1
Let w(u) be the second derivative of u + 23/105*u**6 + 163/70*u**5 + 320/21*u**3 + 100/7*u**2 + 1/147*u**7 - 82 + 361/42*u**4. Factor w(f).
2*(f + 1)**3*(f + 10)**2/7
Let g(q) = 3*q**2 - 22*q - q + 2*q + 8*q - 6 + 6*q. Let s(k) = 5*k**2 - 15*k - 15. Let d(r) = -7*g(r) + 4*s(r). Suppose d(j) = 0. What is j?
-9, -2
Let k be (-4 - 63/(-14)) + (-17)/(-2). Suppose -9 = -3*g - d, 0*d = 3*g - 5*d + k. Factor 4/7*v**3 - 12/7*v**4 + 0*v**g + 0 + 0*v.
-4*v**3*(3*v - 1)/7
Let p(r) be the third derivative of r**5/330 - 499*r**4/66 + 249001*r**3/33 - 202*r**2 + 1. Solve p(z) = 0.
499
Let f(j) = -j**3 - 7*j**2 - 12*j - 1. Let d be f(-4). Let c be d/(6/(-36)) - 5. Factor c + 3/2*h + 0*h**2 - 1/2*h**3.
-(h - 2)*(h + 1)**2/2
Suppose 202*i + 1574 - 7432 = 0. Let u(w) be the first derivative of -21/4*w**2 + 45/8*w**3 - i + 3/2*w. Factor u(a).
3*(5*a - 2)*(9*a - 2)/8
Let x(c) be the first derivative of c**4/4 + 2*c**3 - c**2/2 - 6*c + 4092. Find j, given that x(j) = 0.
-6, -1, 1
Suppose -27*h = -26*h - 3. Factor -4*n - 60*n**2 + 361*n**3 + 60 + n - 358*n**h.
3*(n - 20)*(n - 1)*(n + 1)
Let b(y) be the third derivative of -y**6/780 - 4*y**5/195 + 11*y**4/39 - 16*y**3/13 + 3594*y**2. Let b(m) = 0. Calculate m.
-12, 2
Let d(x) be the first derivative of x**5/240 + 5*x**4/32 - x**2/2 - 74*x + 151. Let f(a) be the second derivative of d(a). Let f(c) = 0. Calculate c.
-15, 0
Let b = 10318727/114 + -90514. Let p = b - -7/38. Factor 2/3 + 5/3*o + p*o**2 + 1/3*o**3.
(o + 1)**2*(o + 2)/3
Let v = -34396/5 - -6880. Let r(n) = -n**2 + 6*n + 9. Let b be r(7). Factor 6/5 - v*d - 2/5*d**b.
-2*(d - 1)*(d + 3)/5
Let l(a) = 294*a**2 - 16*a + 60*a**3 - 25*a**4 + 6*a - 10 - 209*a**2. Let s(j) = 8*j**4 - 20*j**3 - 28*j**2 + 3*j + 3. Let g(u) = 3*l(u) + 10*s(u). Factor g(p).
5*p**2*(p - 5)*(p + 1)
Let z be (-24)/((12/9)/(9/(3780/(-80)))). Factor -2/7*o**2 + 8/7*o + z.
-2*(o - 6)*(o + 2)/7
Let q be 65/((-11960)/2254) - (0 + -13). Factor -u**3 - q + u + 1/4*u**4 + 1/2*u**2.
(u - 3)*(u - 1)**2*(u + 1)/4
Let o(c) be the first derivative of -36*c**5/5 + 281*c**4 - 10580*c**3/3 + 16142*c**2 - 6664*c + 1207. What is n in o(n) = 0?
2/9, 7, 17
Solve 4/5 - 548/5*c + 273/5*c**2 = 0 for c.
2/273, 2
Let d(s) = 7*s + 59. Let w be d(-8). Let h(f) be the first derivative of 11*f + 6*f + 7*f - 14 - w*f**2 - f**3. Factor h(p).
-3*(p - 2)*(p + 4)
Let s(b) be the first derivative of 5*b**6/24 + 53*b**5/20 + 3*b**4/16 - 245*b**3/12 + 61*b**2/2 - 15*b + 442. Determine t, given that s(t) = 0.
-10, -3, 2/5, 1
Let k(f) be the first derivative of 13*f**6/12 + 5*f**5 + 5*f**4/8 - 40*f**3/3 + 3*f**2 - 2061. Determine l, given that k(l) = 0.
-3, -2, 0, 2/13, 1
Let i(r) be the second derivative of -r**6/90 + 26*r**5/15 - 338*r**4/3 - r**3/6 + 19*r**2/2 + 176*r. Let k(l) be the second derivative of i(l). Factor k(x).
-4*(x - 26)**2
Determine d, given that -1873*d**3 + 58*d**2 - 2*d**5 + 1927*d**3 + 41*d + 14*d**4 - 21*d = 0.
-1, 0, 10
Let 1287/2 + 64*w + 1/2*w**2 = 0. What is w?
-117, -11
Let q(r) be the first derivative of -9/2*r**2 - 48 + r**3 - 30*r. Factor q(s).
3*(s - 5)*(s + 2)
Determine s, given that 0 + 78*s**2 - 2/3*s**3 + 236/3*s = 0.
-1, 0, 118
Solve 60*z - 2/3*z**2 - 1350 = 0 for z.
45
Let 162*y**2 - 1/4*y**4 - 457/2*y + 393/4 - 63/2*y**3 = 0. Calculate y.
-131, 1, 3
Let u = 970237/1617045 + -2/323409. Find b, given that -u*b**2 + 18 - 39/5*b = 0.
-15, 2
Let r(o) be the second derivative of -1/6*o**3 + 0 - 31*o - 1/12*o**4 + 1/20*o**5 + 0*o**2 + 1/30*o**6. Factor r(g).
g*(g - 1)*(g + 1)**2
Let a be 2*(3/2 + 15/30). Determine l, given that -52*l**4 + 0*l**3 - 29*l**3 - 7*l**3 + a*l**5 - 20*l**3 = 0.
-1, 0, 14
Suppose -4*i - 14 = t, 3*t - i = -t + 12. Let z be (t - 2)/(-6 - -4). Solve 8 - 25*d + 5*d**3 + 5*d + z*d**2 + 0*d**2 - 2*d**2 = 0 for d.
-2, 2/5, 2
Let p(b) = -3*b**2 - 105*b - 98. Let y be p(-34). Suppose 2*k - 17 = -3*c, c - 4 = -3*k + y*k. Factor 0 + 0*u**3 - 4/9*u**2 - 2/9*u**c + 4/9*u**4 + 2/9*u.
-2*u*(u - 1)**3*(u + 1)/9
Let x be (-1*(-3)/(-2))/((-27)/90). Let b = x + 10. Factor b*f - 3*f**2 - 21 + 13 - f**2 - 3*f.
-4*(f - 2)*(f - 1)
Let z(k) be the third derivative of -k**7/630 + k**6/18 - 3*k**5/10 + 13*k**4/18 - 17*k**3/18 + 89*k**2. Find g such that z(g) = 0.
1, 17
Let c(w) = -5*w**3 - w - 1. Let g = -262 - -261. Let s(x) = -7*x**3 - 47*x**2 - 68*x - 23. Let t(j) = g*c(j) + s(j). Find m, given that t(m) = 0.
-22, -1, -1/2
Let u be (-4)/(264/(-171)) - ((-1056)/32)/66. Find i, given that 2/11*i**5 + 10/11*i**4 - 56/11*i - 24/11 + 6/11*i**3 - u*i**2 = 0.
-3, -2, -1, 2
Factor -5/3*y**3 + 125/3*y**2 + 0 + 90*y.
-5*y*(y - 27)*(y + 2)/3
Suppose h - 704 = 36. Solve 33 - 3*q**3 + 63 - h*q**2 + 776*q**2 - 108*q = 0.
2, 8
Let s = -1/2913 + 8743/11652. What is u in -3/4*u**3 + 0 + 3/2*u - s*u**2 = 0?
-2, 0, 1
Solve -7 - 23/2*x - 3/2*x**2 = 0.
-7, -2/3
Let b be 13 + -2 + -1 - 7. Suppose 0*i**4 + 3*i**2 + 5*i**3 + b*i**4 - 9*i - 6 - i**3 + 5*i**3 = 0. What is i?
-2, -1, 1
Let v be (-28)/(-1 + -27)*(1 + -1). Let b(j) be the third derivative of -1/165*j**5 + v*j + 1/132*j**4 - 19*j**2 + 2/33*j**3 + 0 - 1/660*j**6. Factor b(y).
-2*(y - 1)*(y + 1)*(y + 2)/11
Let y(v) be the first derivative of -36*v**3 - 111*v**2 - 187 - 112*v + 1/2*v**4. Factor y(b).
2*(b - 56)*(b + 1)**2
Let i(u) be the second derivative of 75*u**2 + 71 + 395/2*u**3 + 38*u**4 + u + 9/4*u**5. Factor i(x).
3*(x + 5)**2*(15*x + 2)
Find k, given that 256/3 + 28/3*k**2 + 2/9*k**3 - 560/9*k = 0.
-48, 2, 4
Let s(p) = 13*p**2 + 288*p + 882. Let a(d) = -10*d**2 - 286*d - 876. Let u(v) = -5*a(v) - 4*s(v). Factor u(t).
-2*(t - 142)*(t + 3)
Let g