m - 1)/6
Factor -1/3*o**3 + 4/3 + 11/3*o**2 + 1/3*o**5 - 4*o - o**4.
(o - 2)*(o - 1)**3*(o + 2)/3
Suppose p + 0 = 2, 2*c = 4*p + 2. Let t = c + -4. Solve k**2 - 3*k**2 + 4*k**3 + 5*k**2 + 4*k**2 - t + 2*k = 0.
-1, 1/4
Let h(b) be the third derivative of -b**8/1008 - b**7/315 + b**6/180 + b**5/45 - b**4/72 - b**3/9 - b**2 + 7. What is q in h(q) = 0?
-2, -1, 1
Let g = 87 + -84. Suppose 4*w - z = z + 6, -z = g*w - 7. Factor 2/5*n**4 - 2/5*n + 4/5*n**3 - 4/5*n**w + 2/5 - 2/5*n**5.
-2*(n - 1)**3*(n + 1)**2/5
Suppose -492*g**3 + 361*g + 87*g**2 - 77*g + 30*g**4 - 56 + 6*g**4 - 275*g**2 = 0. Calculate g.
-1, 1/3, 14
Let x(d) be the third derivative of -1/1020*d**6 + 21*d**2 + 0 + 0*d + 0*d**5 + 1/204*d**4 + 0*d**3. Solve x(p) = 0 for p.
-1, 0, 1
Solve 2/19*h**3 - 26/19*h + 0*h**2 - 24/19 = 0 for h.
-3, -1, 4
Let d(g) be the first derivative of 18 + 0*g**4 + 0*g + 2/3*g**3 - 2/5*g**5 + 0*g**2. Let d(s) = 0. What is s?
-1, 0, 1
Suppose -6*a + 498 - 480 = 0. Determine y so that -y**2 - 1/3 - 1/3*y**a - y = 0.
-1
Let t be ((-288)/40)/(4/(-30)). Let d be (13 + t)*(0 + 1). Find q such that 9*q**3 - 2*q**4 - 67 + d - 3*q**2 - 4*q**4 = 0.
0, 1/2, 1
Let h(k) = k**2 + 10*k + 4. Let q be h(-10). Suppose f - q = -f. Suppose -1/4*j**f + 1/4 + 0*j = 0. What is j?
-1, 1
Let v = 84545/4 - 21136. Factor 1/4*k + 0*k**2 + 0*k**4 - 1/2*k**3 + 0 + v*k**5.
k*(k - 1)**2*(k + 1)**2/4
Let m(l) = -6*l**3 - 41*l**2 + 34*l + 59. Let y(h) = -2*h**3 - h**2 + 2*h - 1. Let z(s) = -m(s) + 5*y(s). Determine c so that z(c) = 0.
-1, 2, 8
Suppose 10 = 5*u + 3*i, -30 = -u + 6*i - i. Let t be (-2)/8 + u/(20/13). Factor 1/3*a**5 - 10/3*a**2 - 1/3 + 10/3*a**t - 5/3*a**4 + 5/3*a.
(a - 1)**5/3
Let s = -1594 - -1599. Solve 1/2*l - l**3 + 1/2*l**s + 0 + 0*l**2 + 0*l**4 = 0.
-1, 0, 1
Suppose -w + 2*v = -4, 3*w + w - 36 = -2*v. Factor 6 + 12*m**2 - 12*m + w*m**2 - 4*m**3 - 8*m**2 - 2.
-4*(m - 1)**3
Let a be 0*(4 + (1 - 48/10)). Find h, given that 0*h + 1/7*h**4 + a*h**3 - 2/7*h**2 + 1/7 = 0.
-1, 1
Let s be 6/(-9)*((-287)/56 - -4). Let f(y) be the second derivative of -y + 0 - 3/8*y**4 - 3/40*y**5 - s*y**3 - 3/4*y**2. Factor f(k).
-3*(k + 1)**3/2
Let c = -59 + 239/4. Let u = 17/12 - c. Let -1/3 - u*m**4 + 1/3*m - 1/3*m**3 + m**2 = 0. Calculate m.
-1, 1/2, 1
Let a(j) = -j**2 + 6*j + 42. Let q be a(10). Suppose -5*s + 6 = -q*l, -4*s - 4*l = 1 + 11. Let 1/4*u**3 + s + 0*u**2 + 0*u = 0. What is u?
0
Factor 4/7 - 2/7*z + 2/7*z**3 - 4/7*z**2.
2*(z - 2)*(z - 1)*(z + 1)/7
Suppose -4*i + 3*n - 522 = 0, -4*i + 2*i = -3*n + 264. Let r = i - -132. Find d such that -2/7*d - 2/7*d**r - 4/7*d**2 + 0 = 0.
-1, 0
Determine j so that -10/13*j**2 - 16/13*j - 8/13 - 2/13*j**3 = 0.
-2, -1
Let s(b) be the third derivative of 845*b**8/336 - 221*b**7/42 - 113*b**6/24 + 217*b**5/12 - 35*b**4/3 + 10*b**3/3 - 72*b**2. Determine g, given that s(g) = 0.
-1, 2/13, 1
Suppose -3*s - 3*x + 2 = -x, 0 = 4*s + x - 11. Suppose -3*l**2 - 1/2 - 1/2*l**s - 2*l - 2*l**3 = 0. What is l?
-1
Let p(w) be the third derivative of w**8/588 - 86*w**7/735 + 3*w**6 - 476*w**5/15 + 196*w**4/3 - 67*w**2 - 3*w. Let p(t) = 0. What is t?
0, 1, 14
Suppose -5*i = -11*i + 222. Find t, given that -10*t - i*t**5 + 45*t**2 - 10*t**4 + 65*t**3 - 35*t**4 - 10*t**5 - 8*t**5 = 0.
-1, 0, 2/11, 1
Suppose -5*w = 0, 5*y - 2*y - 3*w = 9. Suppose 5*q - 3 = -r, y*q + 6*r = r + 15. Factor q*k**3 + 0*k + 2/7*k**4 - 4/7*k**2 + 2/7.
2*(k - 1)**2*(k + 1)**2/7
Let w(k) = 0*k**2 + 18*k - 39*k - 5*k**2 - 10. Let x(u) = 11*u**2 + 42*u + 19. Let q(h) = 7*w(h) + 4*x(h). Factor q(v).
3*(v + 2)*(3*v + 1)
Let y(g) be the first derivative of -g**4/4 + 7*g**3/3 - 3*g**2 + 3*g + 5. Let f be y(6). Factor 3*v**2 + 11*v**3 - 4*v**2 - 6*v**f - 6*v**3.
-v**2*(v + 1)
Let r(k) be the second derivative of k**5/40 + k**4/8 - 3*k**3/4 + 5*k**2/4 - 137*k. Factor r(a).
(a - 1)**2*(a + 5)/2
Let c(p) = -p**3 + 4*p**2 + 3*p - 6. Let k be c(4). Let a be 80/k*108/15. Factor t**5 - a*t**4 + 96*t**4.
t**5
Let b(z) be the second derivative of z**5/4 - 95*z**4/12 + 200*z**3/3 + 250*z**2 - 90*z. Determine j, given that b(j) = 0.
-1, 10
Let k(g) be the first derivative of 121*g**4 - 176*g**3/3 + 8*g**2 + 93. Suppose k(h) = 0. What is h?
0, 2/11
Let y be ((-18)/(-4))/9*80. Determine t so that -y + 4*t**4 - 4*t**2 + 40 = 0.
-1, 0, 1
Factor -12/7*z**2 - 2/7 + 2*z.
-2*(z - 1)*(6*z - 1)/7
Let h = 962732/9 + -107076. Let r = 106 + h. Factor 0*b**4 + 0*b**2 - 2/9*b**5 + 4/9*b**3 + 0 - r*b.
-2*b*(b - 1)**2*(b + 1)**2/9
Suppose -10*y = -23*y + 169. Let j(b) be the first derivative of -4/3*b + 0*b**2 - y + 1/9*b**3. What is q in j(q) = 0?
-2, 2
Let j = 21 + -30. Let d(r) = -r - 7. Let o be d(j). Determine w, given that 6 - 8*w**2 + 3*w + 2*w**2 - 2*w**2 - w**o = 0.
-2/3, 1
Let b be (-9)/(-30)*(-11)/((-33)/6). Determine p so that 3/5*p**2 + 0*p**4 - 12/5*p**5 - b + 21/5*p**3 - 9/5*p = 0.
-1, -1/2, 1
Let s(g) be the third derivative of 2*g**7/21 - g**6/10 - 7*g**5/15 + g**4/2 + 4*g**3/3 + 10*g**2 - 3. Suppose s(z) = 0. What is z?
-1, -2/5, 1
Let c(r) be the first derivative of -r**7/105 + r**6/60 + r**2 + 9. Let n(y) be the second derivative of c(y). Factor n(m).
-2*m**3*(m - 1)
Determine v, given that 5/2*v**2 - 4 - v - 1/2*v**3 = 0.
-1, 2, 4
Suppose -7*b = -64 - 41. Determine s, given that -4*s**5 - s + 8*s**2 + b - 8*s**4 + 5*s - 15 = 0.
-1, 0, 1
Suppose 3*s - 103*m + 99*m = -2, -4*s + 4*m = 0. Solve 49/5*i**5 + 12/5*i + 263/5*i**3 + 0 - 224/5*i**4 - 20*i**s = 0 for i.
0, 2/7, 1, 3
Let d(l) be the third derivative of -1/840*l**8 + 0*l**3 - 2/525*l**7 - 22*l**2 + 1/25*l**6 + 0*l + 0 + 1/12*l**4 - 7/75*l**5. Let d(a) = 0. What is a?
-5, 0, 1
Let s(x) be the first derivative of 0*x + 28 - 1/8*x**2 + 1/12*x**3. Find f such that s(f) = 0.
0, 1
Let a(g) be the first derivative of -1/36*g**6 - 1/10*g**5 + 1 - 1/24*g**4 + 1/6*g**2 + 1/6*g**3 + 0*g. Determine j, given that a(j) = 0.
-2, -1, 0, 1
Let r(h) = 8 - 96*h**2 - 5*h + 94*h**2 - 2*h - 4*h. Let t be r(-6). Find v such that -1/2*v**3 + 0 - 9/2*v + 3*v**t = 0.
0, 3
Let h(s) be the second derivative of -s**4/72 - 95*s**3/18 - 9025*s**2/12 + 348*s. Factor h(j).
-(j + 95)**2/6
Suppose 0*k = -2*o + 2*k - 154, 4*o = 2*k - 308. Let a be (1 - -1)*(-22)/o. Solve 4/7*z**2 + a*z**3 - 4/7*z**4 + 0*z - 4/7*z**5 + 0 = 0 for z.
-1, 0, 1
Let p(w) be the third derivative of -25*w**8/168 - 69*w**7/49 - 803*w**6/420 + w**5/70 + 15*w**4/14 + 67*w**2 + 2*w. Suppose p(d) = 0. Calculate d.
-5, -3/5, 0, 2/7
Let g(f) be the first derivative of -88/9*f**3 + 0*f - 6/5*f**5 + 8*f**2 + 5*f**4 - 25 + 1/9*f**6. Factor g(m).
2*m*(m - 3)*(m - 2)**3/3
Let u(v) be the second derivative of -v**6/210 - 3*v**5/70 - v**4/7 - 5*v**3/21 - 3*v**2/14 + 3*v - 12. Solve u(f) = 0 for f.
-3, -1
Let a(z) be the third derivative of -8*z**7/105 + 43*z**6/60 - 13*z**5/10 - 21*z**4/4 + 9*z**3 - 18*z**2 + 3. What is v in a(v) = 0?
-1, 3/8, 3
Suppose -14 = -3*i - 2. Find w, given that -1 - w**i - 26*w**2 + 13*w**2 + 15*w**2 = 0.
-1, 1
Factor 16/5*x + 1/5*x**2 + 28/5.
(x + 2)*(x + 14)/5
Suppose -10 = 13*k - 14*k. Let o(j) = j**2 - 12*j + 23. Let v be o(k). Determine y so that -3*y**2 - 11/5*y**v - 2/5 - 9/5*y - 3/5*y**4 = 0.
-1, -2/3
Let o(b) = -b**2 - 12*b + 11. Let m be o(-10). Suppose -5*d - 21 = -m. Factor 0*w + 0 + d*w**5 + 0*w**2 - 8/3*w**4 + 2/3*w**3.
2*w**3*(w - 1)*(3*w - 1)/3
Suppose -5*y + 15 = -0. Factor 0*a**3 + 3*a**3 + 12*a - y*a**3 + 4 + 4*a**3 + 12*a**2.
4*(a + 1)**3
Let i(c) be the first derivative of c**6/2 - 12*c**5/5 - 6*c**4 + 10*c**3 + 69*c**2/2 + 30*c + 32. Solve i(k) = 0.
-1, 2, 5
Let s = -611 + 3671/6. Let h(o) be the first derivative of -7 + 0*o - s*o**3 + 5/4*o**2. Let h(k) = 0. Calculate k.
0, 1
Let h(m) = 2*m**2 + m - 3. Let u be h(-4). Let y be (10/u)/(2/10). Factor 5*p**3 + 10 + 7 - 59*p**3 + 32*p - 30*p**y - 9.
-2*(p + 1)*(3*p - 2)*(9*p + 2)
Let t(g) = 22*g**3 - 55*g**2 + 45*g - 12. Let i(r) = r**4 - 22*r**3 + 54*r**2 - 44*r + 11. Let q(h) = 3*i(h) + 2*t(h). Factor q(u).
(u - 3)**2*(u - 1)*(3*u - 1)
Let b(m) be the third derivative of m**6/840 - m**5/420 - 5*m**4/168 - m**3/14 - 10*m**2. Factor b(i).
(i - 3)*(i + 1)**2/7
Let t(h) = 22*h + 2*h**3 - 34*h**2 + h**3 - 73*h + 103*h**2. Let d(y) = -2*y**3 - 35*y**2 + 25*y. Let a(g) = -9*d(g) - 4*t(g). Determine c so that a(c) = 0.
-7, 0, 1/2
Sup