be the first derivative of i**3/12 - 3*i**2/8 - 69. Solve w(x) = 0.
0, 3
Determine q, given that -8*q - 8/3*q**3 - 28/3*q**2 + 0 = 0.
-2, -3/2, 0
Factor -6*l + 30*l**3 - 17*l - 27*l**2 - 12*l**2 - 12*l + 3*l**4 - 31*l.
3*l*(l - 2)*(l + 1)*(l + 11)
Suppose 25*u - 134 = -134. What is v in 100/3*v**2 + 1/3*v**4 + 20/3*v**3 + 0*v + u = 0?
-10, 0
Let k(l) be the third derivative of l**5/60 + 31*l**4/4 + 2883*l**3/2 + 116*l**2 - 2. Factor k(x).
(x + 93)**2
Let d(l) = 7*l + 14. Let c be d(6). Let k = 117/2 - c. Find q, given that 3/2*q**3 - 1/2*q**4 + 0 + k*q**2 + q - 1/2*q**5 = 0.
-1, 0, 2
Let l(f) be the first derivative of -f**3 + 12*f - 89. Factor l(o).
-3*(o - 2)*(o + 2)
Suppose -5*r - 4 = -6*r. What is a in -13*a**2 - 14*a**4 - 16*a**4 - 22*a**2 - 5*a**5 - 15*a**r - 75*a**3 = 0?
-7, -1, 0
What is i in 1/2*i**2 + 4*i + 6 = 0?
-6, -2
Let a(b) = -6*b**4 + 11*b**3 + 12*b**2 - 93*b + 48. Let l(k) = 2*k**4 - 4*k**3 - 4*k**2 + 30*k - 16. Let d(p) = 2*a(p) + 7*l(p). Factor d(w).
2*(w - 2)**2*(w - 1)*(w + 2)
Let g = -1154 + 8334/7. What is d in g + 4/7*d**2 + 64/7*d = 0?
-8
Suppose -15*b = 4 - 34. Let f be 2 + -2 + 0 + 3. Factor -4/7*n - 2/7*n**f + 6/7*n**b + 0.
-2*n*(n - 2)*(n - 1)/7
Let u = -10249 + 10251. Solve 4/5*r**4 + 0*r**u - 4/5 + 8/5*r**3 - 8/5*r = 0 for r.
-1, 1
Let t(u) be the first derivative of u**3 + 774*u**2 + 199692*u - 514. Find n, given that t(n) = 0.
-258
Let g be (-2)/(-9) + (-65)/(-234)*10. Let f(y) be the first derivative of 1/9*y**6 + 1/2*y**4 - 5 + 2/5*y**5 + 0*y**2 + 0*y + 2/9*y**g. Factor f(q).
2*q**2*(q + 1)**3/3
Let z(d) be the second derivative of d**4/14 + 16*d**3/21 - 12*d**2/7 - 82*d. Factor z(m).
2*(m + 6)*(3*m - 2)/7
Let i = 80 + -75. Let m(k) be the third derivative of 1/42*k**4 - 1/7*k**3 + 5*k**2 + 0 + 1/210*k**i + 0*k. Factor m(n).
2*(n - 1)*(n + 3)/7
Let u be (8 + -1 - 5)*(-7)/(-42). Let s(a) be the first derivative of u*a**3 - 1/4*a - 7 + 3/8*a**2. Suppose s(q) = 0. Calculate q.
-1, 1/4
Let p = 18 - 20. Let s(x) = -x**2 - 3*x. Let q be s(p). Find t such that -4 - 2*t + 0*t + 0 + 3 - t**q = 0.
-1
Let u(v) = -16*v**4 - 7*v**3 + 41*v**2 - 10*v - 4. Let o(q) = -225*q**4 - 100*q**3 + 575*q**2 - 140*q - 55. Let g(p) = 4*o(p) - 55*u(p). Solve g(m) = 0.
-2, 0, 1/4, 1
Let y = -3475 + 13901/4. Let -49/4 - y*v**2 + 7/2*v = 0. What is v?
7
Let b(g) = 3*g**4 - 12*g**3 - 33*g**2 - 12*g + 6. Let q(i) = 2*i**4 - 13*i**3 - 33*i**2 - 13*i + 5. Let a = 52 - 47. Let u(j) = a*b(j) - 6*q(j). Factor u(f).
3*f*(f + 1)*(f + 2)*(f + 3)
Let d = -4 + 4. Suppose 9*c**2 + 13*c**3 + 3*c - 25*c**3 + d*c = 0. What is c?
-1/4, 0, 1
Suppose -m - 6*m = -63. What is l in -l**3 + 4 + m*l + 3*l**2 - 2 + 3 = 0?
-1, 5
Let h(u) be the first derivative of -58 + 4/7*u**2 + 2/21*u**3 - 24/7*u. Determine l, given that h(l) = 0.
-6, 2
Determine l so that -4*l**3 - 4/3*l**4 + 68*l + 52/3*l**2 + 48 = 0.
-3, -1, 4
Let c be 3/(-1) - (-2484)/552. Let -c*u**2 + 0 + 15/2*u = 0. What is u?
0, 5
Suppose -2*v**5 + 2630*v**3 + 48*v**2 - 2594*v**3 - v**5 = 0. Calculate v.
-2, 0, 4
Let b(w) = 3*w + 2. Let q(o) = o**3 - 7*o**2 + 9*o - 7. Let c be q(6). Let i(g) = -g**2 - 16*g - 11. Let l(v) = c*b(v) + 2*i(v). Factor l(j).
-j*(2*j - 1)
Factor 17*w + 2 - 1 + 8*w - 40*w - 8*w**2 + 8 + 16*w**3.
(w + 1)*(4*w - 3)**2
Let o = 447 - 443. Let -4/9*n**2 + 2 + 2/9*n**o - 8/9*n**3 + 8/3*n = 0. Calculate n.
-1, 3
Let a(x) be the third derivative of 5*x**8/336 + x**7/42 - 5*x**6/24 + x**5/4 + 305*x**2 - 2. Factor a(p).
5*p**2*(p - 1)**2*(p + 3)
Determine h, given that 7/6*h**3 + 17/6*h + 1/6*h**4 + 1 + 17/6*h**2 = 0.
-3, -2, -1
Let r(t) be the second derivative of 3*t + 0 - 1/66*t**4 + 0*t**2 + 0*t**3. Find z such that r(z) = 0.
0
Let u(t) be the second derivative of t**4/78 + 14*t**3/39 + 49*t**2/13 + 341*t. Let u(n) = 0. What is n?
-7
Suppose 13 = -16*g - 3. Let f be 3 + g - 2/(-3). Let 2/3*s**4 + f*s + 8/3*s**3 + 2/3 + 4*s**2 = 0. Calculate s.
-1
Factor -11*u**4 - 216*u**3 - 15*u**4 + 316*u**2 - 2*u**4 - 72*u.
-4*u*(u - 1)*(u + 9)*(7*u - 2)
Let m(n) be the first derivative of -1/4*n**2 + 1/8*n**4 + 3 + 0*n**3 + 0*n. Suppose m(c) = 0. What is c?
-1, 0, 1
Suppose 2*s**4 + s**2 - 6*s**2 + s**2 - 62 + 64 = 0. Calculate s.
-1, 1
Suppose 7*n - 119 + 53 = -52. Determine s, given that -1/5 + 1/5*s**n + 0*s = 0.
-1, 1
Suppose 6*n**2 + 2 - 9 - 33*n - 2 - 9 = 0. What is n?
-1/2, 6
Let n(w) be the first derivative of w**3/6 - 23*w**2/4 + 21*w + 199. Suppose n(s) = 0. What is s?
2, 21
Let p(u) = 3*u + 13. Let j be p(-6). Let f(h) = 5*h**2 + 5*h - 4. Let d(c) = 11*c**2 + 11*c - 7. Let l(a) = j*f(a) + 2*d(a). Factor l(y).
-3*(y - 1)*(y + 2)
Let r(c) be the third derivative of -c**8/35280 - c**7/1260 - 11*c**5/30 - 9*c**2. Let l(n) be the third derivative of r(n). Factor l(d).
-4*d*(d + 7)/7
Let p(i) be the second derivative of -i**5/80 - 27*i**4/16 - 729*i**3/8 - 19683*i**2/8 - 17*i + 4. Determine m so that p(m) = 0.
-27
Let z(g) be the third derivative of -2/15*g**3 - 11/1050*g**7 + 0 + 1/20*g**5 + 0*g + 3/560*g**8 - 28*g**2 - 1/24*g**6 + 2/15*g**4. Let z(k) = 0. Calculate k.
-1, 2/9, 1, 2
Let l(w) = -w - 5. Suppose -53*j + 7 = -54*j. Let v be l(j). Factor -2/7 - 96/7*r**v + 128/7*r**3 + 24/7*r.
2*(4*r - 1)**3/7
Suppose 3*n = r + 17, 2*n + 6 = 5*r - 0. Let i(c) be the first derivative of -c**3 + 3*c**2 - 6*c**2 + 9*c + 0*c**3 - n. Factor i(l).
-3*(l - 1)*(l + 3)
Let x be (-102)/187 - 119/616*-30. Let 0 - 15/4*q**3 + 3/4*q**4 - x*q - 39/4*q**2 = 0. Calculate q.
-1, 0, 7
Let 4*s**4 + 160*s - 576*s + 16*s**3 - 94*s**2 - 320 + 10*s**2 = 0. Calculate s.
-4, -1, 5
Let n(g) be the first derivative of 5*g**6/18 + 47*g**5/15 + 51*g**4/4 + 21*g**3 + 9*g**2 - 45. Let n(u) = 0. Calculate u.
-3, -2/5, 0
Let g be (-1390)/(-105) + 640/105 + -6. Factor 44*c**2 - g*c + 64/3*c**4 + 4/3 - 160/3*c**3.
4*(c - 1)**2*(4*c - 1)**2/3
Let v(c) be the second derivative of c**6/60 + 2*c**5/15 + c**4/3 - 7*c**2/2 + 11*c. Let y(k) be the first derivative of v(k). Solve y(p) = 0 for p.
-2, 0
Let t(r) be the first derivative of 4/3*r - 14 - 2/9*r**3 - 1/3*r**2. Determine c so that t(c) = 0.
-2, 1
Suppose -31 = -2*j - 3*a - 36, 0 = 2*j + 4*a + 8. Let 3/7*r**j - 12/7 - 3/7*r**3 + 12/7*r = 0. What is r?
-2, 1, 2
Let s(q) be the third derivative of 0*q**5 + 0 - 3*q**2 + 1/240*q**6 - 1/12*q**4 + 0*q + 0*q**3. Factor s(u).
u*(u - 2)*(u + 2)/2
Solve -242/5*k**3 + 66*k**2 + 8/5 - 96/5*k = 0 for k.
2/11, 1
Suppose 4*f - 4*l - 35 + 403 = 0, 0 = -f - 4*l - 102. Let k = -91 - f. Find j such that 4/5*j**4 + 2/5*j**5 + 2/5*j**k + 0*j + 0*j**2 + 0 = 0.
-1, 0
Suppose 3*p - 5*p - 10 = 0. Let l(z) = 13*z**3 + 39*z**2 - 32*z - 15. Let v(q) = -q**3 - q**2 + 1. Let b(i) = p*v(i) - l(i). Find t, given that b(t) = 0.
-5, -1/4, 1
Suppose 0 = -y - 2 + 7. Suppose y*q = 6*q - 4. Let q*a**5 + 78*a**4 - 78*a**4 - 12*a**3 - 8*a**2 = 0. What is a?
-1, 0, 2
Factor -1/3*q**2 - 154/3*q - 51.
-(q + 1)*(q + 153)/3
Let q(a) be the first derivative of a**6/36 + a**5/10 + a**4/24 - a**3/6 - a**2/6 + 356. Find i, given that q(i) = 0.
-2, -1, 0, 1
Let 21*y**2 + 18169*y - y**2 - 18155*y - 6 = 0. What is y?
-1, 3/10
Factor 0 - 8/5*q**2 - 12/5*q**3 + 0*q - 4/5*q**4.
-4*q**2*(q + 1)*(q + 2)/5
Suppose b - 27 = -3*z + 2*b, -3*z - 2*b + 18 = 0. Factor -37*x**5 + 34*x**5 + z*x**4 + 6*x**4 + x**4 - 18*x**3.
-3*x**3*(x - 3)*(x - 2)
Let s be (-43)/(3483/414) + 1*6. Solve s*n + 10/9*n**2 - 2/9 = 0.
-1, 1/5
Suppose -145*n = -150*n + 15. Let k(d) be the first derivative of -4*d - 48/5*d**5 + d**4 - 2*d**2 - 3 + 52/3*d**n. Determine z, given that k(z) = 0.
-1, -1/4, 1/3, 1
Let h(p) be the second derivative of 25*p**4/84 - 25*p**3/21 + 8*p**2/7 - 58*p. Factor h(c).
(5*c - 8)*(5*c - 2)/7
Suppose 5*q + 0*l + l - 53 = 0, 0 = 2*q - 4*l - 8. Let v be 12/q*(-90)/(-27). Factor 3*x**4 - 2*x**3 + 3*x**3 - 2*x**v.
x**3*(x + 1)
Suppose -3/8*q**2 - 150 + 15*q = 0. What is q?
20
Factor -1/8*v + 1/8*v**4 + 1/8*v**3 - 1/8*v**2 + 0.
v*(v - 1)*(v + 1)**2/8
Let m(z) = -8*z**3 + 12*z**2 - 4*z - 6. Suppose 6 = 3*q + 3*q. Let o(c) = c**3 - c**2 + 1. Let a(b) = q*m(b) + 6*o(b). Factor a(p).
-2*p*(p - 2)*(p - 1)
Factor 1/2*k**3 + 57/2 + 55/2*k**2 - 113/2*k.
(k - 1)**2*(k + 57)/2
Let g = -212/11 + 31175/1617. Let o(r) be the second derivative of -1/21*r**3 - 4/105*r**6 - 2/21*r**4 + 3*r - g*r**7 + 0*r**