 -91*x**5 + 0*x**3 + 3*x**3 + 90*x**5 - 2*x**4 + 0*x**3 = 0. What is x?
-3, 0, 1
Find j, given that -4/5*j**2 + 84/5*j + 88/5 = 0.
-1, 22
Factor 2*g**2 + 60 - 4*g + 15*g - 5*g - 3*g + 19*g.
2*(g + 5)*(g + 6)
Let n(m) be the third derivative of m**8/168 - 79*m**7/1365 + 27*m**6/130 - 71*m**5/195 + 49*m**4/156 - m**3/13 + 442*m**2. Determine x, given that n(x) = 0.
1/13, 1, 3
Suppose -3*z - 52 = -4*d, z - 5 + 49 = -4*d. Let w = -10 - z. Factor -8*h + 22 + w - 20 + h**2.
(h - 4)**2
Let o(a) be the third derivative of a**5/60 - 49*a**4/48 - 17*a**3/4 + 480*a**2 - 2. Solve o(j) = 0.
-1, 51/2
Let v(r) be the first derivative of r**3 + 3*r + 21 + 2*r**2 + r**2 - 2. Factor v(l).
3*(l + 1)**2
Let a = 1875 + -1872. Factor 4/5*g**a - 2/5*g**5 + 0*g**2 + 0*g + 0 + 2/5*g**4.
-2*g**3*(g - 2)*(g + 1)/5
Let h(l) be the second derivative of l**4/3 - 88*l**3/3 + 968*l**2 - 73*l. Factor h(y).
4*(y - 22)**2
Let a(o) be the first derivative of -3*o**4/28 + 19*o**3/7 - 24*o**2 + 576*o/7 - 34. Let a(j) = 0. What is j?
3, 8
Let v = -1677 - -1692. Let j(q) be the first derivative of 2/15*q**3 + 1/5*q**2 - 4/5*q - v. Factor j(b).
2*(b - 1)*(b + 2)/5
Factor -9/8*z**4 - 25/8*z**3 - 3/2*z**2 + 0 + 1/2*z.
-z*(z + 1)*(z + 2)*(9*z - 2)/8
Suppose 0 = 7*y + y - 8. Let t be ((-130)/39)/(y/(-1)). Factor 0 + t*l**2 - 2*l**3 - 4/3*l.
-2*l*(l - 1)*(3*l - 2)/3
Let q = 75/14 - 1537/266. Let u = -13/76 - q. Let s - u*s**4 - s**3 + 1 - 3/4*s**2 = 0. What is s?
-2, -1, 1
Let k(w) be the first derivative of 2*w**6/15 - 4*w**5/25 - 6*w**4/5 - 8*w**3/15 + 2*w**2 + 12*w/5 - 63. Let k(r) = 0. What is r?
-1, 1, 3
Let q(l) be the first derivative of -5*l - 9 + 1/15*l**3 - 1/10*l**4 - 1/50*l**5 + 1/25*l**6 + 0*l**2. Let b(t) be the first derivative of q(t). Solve b(o) = 0.
-1, 0, 1/3, 1
Let p(g) = -3*g + 1 - 6 + 2*g. Let t be p(-7). Factor 18*f - 4*f**t - 8 - 6*f + 0*f.
-4*(f - 2)*(f - 1)
Let z(p) = -3*p + 9. Let o be z(8). Let d = o + 18. Suppose -16 + r**3 - 20*r**2 + r**3 + 0*r**d + 32*r + 2*r**3 = 0. What is r?
1, 2
Let x be ((-944)/640 + 2/(-16))/(-1). Factor -x*o**4 + 14/5*o**3 + 0 - 2/5*o - 4/5*o**2.
-2*o*(o - 1)**2*(4*o + 1)/5
Let u(i) be the second derivative of -i**5/10 - 4*i**4/3 - 11*i**3/3 + 20*i**2 + 340*i - 1. Solve u(o) = 0.
-5, -4, 1
Let p(f) be the second derivative of 3*f**5/140 - 59*f**4/28 + 899*f**3/14 - 2523*f**2/14 - 9*f + 4. Suppose p(n) = 0. What is n?
1, 29
Let 5/6*a**5 + 11/6*a**2 - 2/3*a + 29/6*a**4 + 13/2*a**3 + 0 = 0. What is a?
-4, -1, 0, 1/5
Let o(s) = s**3 - 6*s**2 - 16*s + 2. Let y be o(8). Solve 5 - 8*h - y*h**3 - 5*h**2 + 4*h**3 + 3*h**3 + 3*h = 0.
-1, 1
Let y(g) be the third derivative of g**5/45 + 13*g**4/72 + 5*g**3/9 + 29*g**2 + 2. Find q, given that y(q) = 0.
-2, -5/4
Let x(p) = -2*p**2 - 26*p - 42. Let v(c) = -4*c**2 - 43*c - 85. Let i(j) = -6*v(j) + 11*x(j). Factor i(u).
2*(u - 12)*(u - 2)
Let w be 4/(1 + 0 - -1). Suppose -64*o**3 - 336*o**2 + 312*o**w + 0*o - 2*o - 32*o**3 - 128*o**4 = 0. Calculate o.
-1/4, 0
Suppose -4*g = -3*x + 53, -2*g = -3*x - x + 54. Let o = 13 - x. Find f such that 6*f + 0 + o - 2*f + 2*f**2 = 0.
-1
Suppose -5*y = q - 2*y, -10 = -5*q - 5*y. Let o = q + -1. What is w in 3 - 10 + 6*w + 3*w**o + 10 = 0?
-1
Let k(p) = p**2. Let n(u) = -u**4 - 82*u**3 - 79*u**2 + 82*u + 81. Let z(q) = -4*k(q) + 4*n(q). Factor z(m).
-4*(m - 1)*(m + 1)**2*(m + 81)
Let f(d) be the third derivative of -d**8/280 - 3*d**7/175 - d**6/50 + 25*d**2 + 1. Determine n so that f(n) = 0.
-2, -1, 0
Let k(b) = 7 - b**5 + b**2 + 4*b**3 - 3*b**4 - 3 - 1 + 2*b**2. Let f(l) = -l**5 - 4*l**4 + 5*l**3 + 4*l**2 + 4. Let m(u) = -3*f(u) + 4*k(u). Solve m(h) = 0.
-1, 0, 1
Let s be (4 - -6)/5*4. Let q be 112/(-264) + s/6. Find n, given that -4/11*n - q*n**2 + 6/11 = 0.
-1, 3/5
Let p = -24 + -7. Let t = 63/2 + p. Factor 1/2 + t*n**2 - n.
(n - 1)**2/2
Let t(d) be the first derivative of 3*d**4/14 + 20*d**3/21 + 798. Suppose t(r) = 0. Calculate r.
-10/3, 0
Suppose -y + 5*j = -112, -5*y + 5*j + 500 = -0*j. Let o = 99 - y. Factor -2/3*l**4 - 8/3*l - 16/3*l**o + 0 - 10/3*l**3.
-2*l*(l + 1)*(l + 2)**2/3
Let j be (0 - -1)*7/14. Suppose 0 = 5*u - 3*l - 12, 4*u - 15 + 2 = -l. Let -q + 0 - j*q**u - 3/2*q**2 = 0. What is q?
-2, -1, 0
Let h(w) be the third derivative of -w**6/96 - 37*w**5/8 - 6845*w**4/8 - 253265*w**3/3 + 778*w**2. Factor h(i).
-5*(i + 74)**3/4
Let b = 2315 + -2311. Factor 12*k**2 + 6*k + 15/2*k**3 + 3/2*k**b + 0.
3*k*(k + 1)*(k + 2)**2/2
Let a = -72 + 36. Let o be (34/a - -1)*3. Determine k so that 1/3*k - 1/3*k**3 + 1/6*k**4 + 0 - o*k**2 = 0.
-1, 0, 1, 2
Let r(g) be the second derivative of -g**5/4 + 145*g**4/6 - 4205*g**3/6 + 6*g - 1. Factor r(y).
-5*y*(y - 29)**2
Let o(m) be the first derivative of 12 + 0*m + 5/3*m**3 + 5/4*m**4 - 5*m**2. Factor o(v).
5*v*(v - 1)*(v + 2)
Let i(y) be the third derivative of 0*y - 1/16*y**4 + 3*y**2 + 0*y**3 + 1/120*y**5 + 0. Factor i(m).
m*(m - 3)/2
Suppose 15*f + 135/4*f**5 + 0 + 905/4*f**3 - 165*f**4 - 110*f**2 = 0. What is f?
0, 2/9, 2/3, 1, 3
Let l(a) be the second derivative of -a**10/70560 + a**8/7840 - a**6/1680 - 17*a**4/12 - a. Let d(k) be the third derivative of l(k). Factor d(z).
-3*z*(z - 1)**2*(z + 1)**2/7
Let h = 386 + -203. Let n be (-2)/(-11) + h/(-99) + 3. Factor -2/3*q**3 + 4/3 - n*q**2 + 2/3*q.
-2*(q - 1)*(q + 1)*(q + 2)/3
Let l = 1/165 - -17/2640. Let m(f) be the third derivative of l*f**6 + 0*f**3 + 1/120*f**5 + 0*f + 0 + 1/140*f**7 + 0*f**4 + 1/672*f**8 + 8*f**2. Factor m(g).
g**2*(g + 1)**3/2
Factor -2/9*v**2 + 64/3 - 58/9*v.
-2*(v - 3)*(v + 32)/9
Suppose -3*v + 0*v + 6 = 0. Determine u so that -2*u**5 - 56*u**3 + v*u**4 + 56*u**3 = 0.
0, 1
What is m in 0 - 2/3*m**3 + 1/6*m**5 + 1/6*m**4 + 0*m - 2/3*m**2 = 0?
-2, -1, 0, 2
Find m, given that 3*m**4 + 4*m**3 - 17*m**2 - 4*m**5 + 5*m**2 + 0*m**3 + 9*m**4 = 0.
-1, 0, 1, 3
Let n be (-6 - (-812)/182)*4/(-10). Determine x so that -n - 8/13*x - 2/13*x**2 = 0.
-2
Let h be 129/15 - 2 - (-3 + 0). Let k(m) be the first derivative of 1/5*m**3 + 7 + h*m + 12/5*m**2. What is x in k(x) = 0?
-4
Let g(b) be the second derivative of -b**7/14 + 7*b**6/10 + 51*b**5/20 + 9*b**4/4 + 49*b. Find q such that g(q) = 0.
-1, 0, 9
Let f = -152 + 152. Let a(s) be the third derivative of 1/60*s**4 + 4*s**2 + 1/100*s**6 + 0*s + 0*s**3 - 1/50*s**5 - 1/525*s**7 + f. Let a(p) = 0. What is p?
0, 1
Let q be 56/8 - 15/3. Factor -6*k + q*k**2 + 2*k**2 + 2*k**3 - 4*k**2 - 4.
2*(k - 2)*(k + 1)**2
Let z(h) be the first derivative of h**5/35 - 13*h**4/14 - 9*h**3/7 - 49. Solve z(y) = 0 for y.
-1, 0, 27
Let b(q) = 20*q**2 - 4*q - 22. Let y(u) = 11*u**2 - 2*u - 12. Let j(s) = -6*b(s) + 11*y(s). Let j(l) = 0. What is l?
-2, 0
Suppose -45*w + 301 - 211 = 0. Determine t, given that -1/3*t**w - t**4 + t**3 + 0 + 1/3*t**5 + 0*t = 0.
0, 1
Suppose -c + 12 - 8 = 0. Let n(u) = -u**3 + u + 4. Let i(t) = 2*t**3 + t**2 - 3*t - 9. Let q(a) = c*i(a) + 9*n(a). Solve q(h) = 0.
0, 1, 3
Factor 2*i**3 - 5*i**4 - 1065*i**5 + 1067*i**5 + i**4.
2*i**3*(i - 1)**2
Let o(v) be the first derivative of v**9/756 + v**8/420 - v**7/70 - v**6/90 + v**5/15 + 10*v**3 - 1. Let d(n) be the third derivative of o(n). Factor d(t).
4*t*(t - 1)**2*(t + 1)*(t + 2)
Suppose -144*t**4 + 2*t**3 - 27*t**5 - 94*t**3 + 45*t + 36*t**2 - 12 - 46*t**3 = 0. Calculate t.
-4, -1, 1/3
Suppose 9 = -7*q + 23. Suppose 0 = -q*y, -9 = 5*u - y - 24. Factor 0 - 5/3*r**4 - 2*r**u + 8/3*r - 1/3*r**5 + 4/3*r**2.
-r*(r - 1)*(r + 2)**3/3
Find o, given that 13 + 4*o**5 - 42*o**4 + 216*o**3 - 376*o**2 + 20417*o - 20125*o - 97 - 10*o**4 = 0.
1, 3, 7
Let n(l) be the first derivative of -2*l**3/15 - l**2/5 + 4*l/5 + 47. Factor n(x).
-2*(x - 1)*(x + 2)/5
Let r = 14 - 12. Let n = r - 0. What is d in 4 - d + d**2 + 0*d**n + d + 4*d = 0?
-2
Let y(a) = -23*a**3 - 23*a**2 + 13*a - 18. Let j(c) = 4*c**3 + 4*c**2 - 2*c + 3. Let v(p) = 34*j(p) + 6*y(p). Factor v(s).
-2*(s - 1)**2*(s + 3)
Let o(i) be the second derivative of -49*i**6/15 + 119*i**5/10 + 95*i**4 + 292*i**3/3 + 40*i**2 - 14*i - 20. Determine f so that o(f) = 0.
-2, -2/7, 5
Suppose -88*s + 94*s = 36. Let n(d) be the second derivative of 0 - 1/15*d**s + 8*d**2 + 4*d + 1/2*d**5 - d**4 - 4/3*d**3. Factor n(k).
-2*(k - 2)**3*(k + 1)
Let y(l) be the third derivative of -l**6/60 + l**5/3 + 14*l**2 + 13*l. Suppose y(k) = 0. Wh