/18 + 99*x**2. Determine w so that a(w) = 0.
-2, 0, 1
Let d be 40/28 + -1 + 54/21. Suppose -2*s + s + 2*w + 6 = 0, w - 1 = 0. Determine f, given that -2*f**d - 4 + 4 - 6*f**2 + s + 0*f**3 = 0.
-2, 1
Factor 255*s**2 + 4*s - 30 + 251*s**2 - 504*s**2.
2*(s - 3)*(s + 5)
Let r(a) be the first derivative of -2*a**3/45 - 16*a**2/15 - 26*a/5 - 40. Determine g, given that r(g) = 0.
-13, -3
Let c(g) be the third derivative of g**8/1008 + g**7/45 + 61*g**6/360 + 7*g**5/15 + g**4/2 + 83*g**2. What is k in c(k) = 0?
-6, -1, 0
Let u(j) be the second derivative of j**7/210 + 49*j**6/75 + 653*j**5/20 + 9752*j**4/15 + 34304*j**3/15 + 16384*j**2/5 - 126*j. What is z in u(z) = 0?
-32, -1
Suppose c - 6*c = 4*u - 12, -5*u + 6 = 4*c. Let w be (c + -2)*(-13)/(-2). Factor 0 - w*t - 6 - 8*t - 8*t**2 - t**2.
-3*(t + 2)*(3*t + 1)
Let z(n) = -15*n**4 + 10*n**3 - 5*n**2. Let q = 51 + -49. Let p(r) = -7*r**4 + 5*r**3 - 2*r**2. Let f(s) = q*z(s) - 5*p(s). Factor f(d).
5*d**3*(d - 1)
Factor -10/9*k**3 - 32/9*k + 8/9 - 38/9*k**2.
-2*(k + 2)**2*(5*k - 1)/9
Factor 124 - 5*h**4 + 90*h - 40*h**3 - 124 + 55*h**2.
-5*h*(h - 2)*(h + 1)*(h + 9)
Let f(i) be the third derivative of i**8/2352 + i**7/294 + i**6/840 - i**5/20 - 3*i**4/28 - 2*i**2 + 85*i. Factor f(l).
l*(l - 2)*(l + 1)*(l + 3)**2/7
Factor 4*t - 5*t**4 - 24*t + 17*t**3 + 3 + 42 - 37 - 6*t**2.
-(t - 2)**2*(t + 1)*(5*t - 2)
Let k be (-94 - -92)*(-2)/3*1/10. Factor -k*s**2 + 4/15*s + 16/15.
-2*(s - 4)*(s + 2)/15
Let f be ((-102 - 3) + 14)*8/(-2). Let t(n) be the first derivative of -11 - 196/5*n**5 - 752*n**3 + f*n**4 - 832*n**2 - 256*n. Find y, given that t(y) = 0.
-2/7, 4
Let a(u) = 2*u**2 + 6*u - 2. Let o(v) = 4*v + 9*v**2 - 4*v**2 - v**3 - 4*v**2 + v - 1. Let g(f) = -4*a(f) + 6*o(f). Factor g(d).
-2*(d - 1)*(d + 1)*(3*d + 1)
Let w(d) be the second derivative of 1/30*d**4 + 0 + 7*d - 12/5*d**2 - 8/5*d**5 - 1/3*d**6 + 44/15*d**3. Determine q so that w(q) = 0.
-3, -1, 2/5
Let r(q) be the first derivative of -q**5/20 - q**4 - 29*q**3/12 - 7*q**2/4 + 227. Factor r(x).
-x*(x + 1)**2*(x + 14)/4
Let l be (-4 + 3)/(-27 - -25). Factor -1/8*d**3 - l*d + 1/2*d**2 + 0.
-d*(d - 2)**2/8
Let d(r) be the third derivative of 0 + 20/39*r**4 - 49/780*r**6 + 4/13*r**3 + 0*r + 45*r**2 + 119/390*r**5. Factor d(t).
-2*(t - 3)*(7*t + 2)**2/13
Suppose 13 = 3*x + 7. Factor -70*a - 4*a**2 - 4 + 72*a + 6*a**x.
2*(a - 1)*(a + 2)
Let l(h) be the second derivative of h**7/7560 + h**6/1080 + h**5/360 - h**4/4 - h**2 + 2*h. Let u(q) be the third derivative of l(q). Factor u(p).
(p + 1)**2/3
Suppose -3*j + 5 = -5*v, 0*v - 3*j + 17 = v. Factor v + 11*b - 6*b**2 + 14 + b - 2*b**3.
-2*(b - 2)*(b + 1)*(b + 4)
Suppose -5*w = 28 - 43. Factor -2*i**3 - 3*i**5 + 14*i**3 - 3*i - 6*i**w.
-3*i*(i - 1)**2*(i + 1)**2
Let z be (-21)/(-12) - (-1)/(-12)*120/(-40). Solve -2/3*p**5 + 0*p + 0 - 2/9*p**4 - 8/9*p**z + 16/9*p**3 = 0.
-2, 0, 2/3, 1
Let p(n) be the second derivative of -13/20*n**4 - 19/30*n**3 + 0 - 1/5*n**2 - 23*n. Factor p(j).
-(3*j + 1)*(13*j + 2)/5
Let n(s) be the first derivative of s**4/108 + s**3/18 - 8*s + 6. Let w(d) be the first derivative of n(d). Factor w(q).
q*(q + 3)/9
Let q be (0 + 0)/((-10 - 12)/(-11)). Factor -3/4*u**2 + 1/4*u + q + 3/4*u**3 - 1/4*u**4.
-u*(u - 1)**3/4
Let q(u) be the second derivative of u**7/189 - u**6/27 + u**5/10 - 7*u**4/54 + 2*u**3/27 + u. Let q(a) = 0. What is a?
0, 1, 2
Let s = 3/28 + -31/420. Let w(v) be the second derivative of 0 - 2*v - 1/6*v**3 + s*v**6 - 3/20*v**5 + 0*v**2 + 1/4*v**4. Factor w(i).
i*(i - 1)**3
Let w(t) be the first derivative of 2*t**6/3 + 28*t**5/5 - t**4 - 28*t**3/3 - 33. Find l, given that w(l) = 0.
-7, -1, 0, 1
Let d(s) be the first derivative of -s**6/30 + 2*s**5/5 - 11*s**4/6 + 4*s**3 - 11*s**2 + 11. Let r(v) be the second derivative of d(v). Factor r(o).
-4*(o - 3)*(o - 2)*(o - 1)
Suppose 4 = 2*f, -12 + 4 = -w - 3*f. Let 19*s**w - 10*s**2 - 36*s - 14*s**2 - 1125 - 114*s = 0. What is s?
-15
Let v(s) be the third derivative of -s**8/1680 + s**7/210 - s**6/90 - 5*s**4/8 - 35*s**2. Let d(o) be the second derivative of v(o). Find z such that d(z) = 0.
0, 1, 2
Find u, given that -15*u**3 - 286*u**2 - 6735*u - 54 + 70*u**2 + 36*u**3 + 6984*u = 0.
2/7, 1, 9
Let x(h) be the second derivative of -h**6/2520 - h**5/84 - 25*h**4/168 + 20*h**3/3 - 26*h. Let j(v) be the second derivative of x(v). Factor j(d).
-(d + 5)**2/7
Let k(b) be the third derivative of 0*b + 0 - 2/15*b**5 - 7/6*b**4 - 8/3*b**3 - 8*b**2 + 1/30*b**6. Let k(q) = 0. What is q?
-1, 4
Suppose -72 + 24 = -16*y. Let n be (-18)/(-8) - y/(-2 + 14). Factor u**3 + 1/3*u**4 + 1/3*u**n - 2/3 - u.
(u - 1)*(u + 1)**2*(u + 2)/3
Let n(h) = 2*h**4 + h**2 + h - 3. Let z(t) = 2*t**5 + 16*t**4 - 30*t**3 + 14*t**2 + 46*t - 18. Let g(v) = -6*n(v) + z(v). Find m, given that g(m) = 0.
-5, -1, 0, 2
Suppose -5*q - 14*i - 20 = -19*i, 5*q = -5*i + 50. Determine l, given that -2/7*l**4 + 4/7*l**q - 2/7*l - 2/7*l**5 - 2/7 + 4/7*l**2 = 0.
-1, 1
Let z = 2 - -13. Suppose 14*x + 4 = z*x. Solve 6*q**4 - 2*q**3 + 0*q**4 - 4*q**2 - x*q**4 = 0 for q.
-1, 0, 2
Suppose 7*s - 4*s = 15. Suppose 3*z - 36 = 4*n, -37 = -s*z - 2*n + n. Determine u so that 4*u + 2*u**2 - 2*u + 2*u**4 + 2*u - z*u**2 = 0.
-2, 0, 1
Let a(v) be the third derivative of 5*v**8/336 - 2*v**7/7 + 2*v**6 - 16*v**5/3 + 9*v**2. Factor a(g).
5*g**2*(g - 4)**3
Let d(f) be the first derivative of -f**6/72 - f**5/8 - 5*f**4/12 - 13*f**3/3 + 5. Let v(k) be the third derivative of d(k). Factor v(q).
-5*(q + 1)*(q + 2)
Let f = 1/31415 + 31411/125660. Let m = 73/4 + -18. Determine l so that -1/2*l + f*l**2 + m = 0.
1
Let y = 12906 + -12904. Determine f so that 0*f - 3/4*f**3 + 1/4*f**5 + 0 - 1/2*f**y + 0*f**4 = 0.
-1, 0, 2
Let p(y) be the second derivative of -y**4/3 + 52*y**3/3 - 306*y**2 + 2*y + 23. Factor p(q).
-4*(q - 17)*(q - 9)
Let u = 68 - 65. Factor -34 - 14*a**3 - 3*a**4 + 2*a**u + 34.
-3*a**3*(a + 4)
Let i be 2 + -24 + (-3)/1. Let a = -20 - i. Factor 6*g**3 + 2*g**a - g**4 + g**4 - 8*g**3.
2*g**3*(g - 1)*(g + 1)
Let y(b) = b**3 + b**2 + 3*b + 6. Let p be y(0). Let i(c) be the second derivative of 1/10*c**5 + 1/3*c**3 + 0*c**2 + 0 + 1/3*c**4 + p*c. Factor i(u).
2*u*(u + 1)**2
Let i(c) = -14*c**4 - 2*c**3 + 52*c**2 + 6*c - 4. Let g(m) = 28*m**4 + 4*m**3 - 102*m**2 - 11*m + 10. Let y(n) = 2*g(n) + 5*i(n). What is v in y(v) = 0?
-2, -1/7, 0, 2
Factor 5/4*z**4 + 1/4*z**5 + 0 + z**2 + 2*z**3 + 0*z.
z**2*(z + 1)*(z + 2)**2/4
Let m(s) = 2*s. Let u(f) = -2*f**2 + 12*f + 10. Let g(i) = -4*m(i) + 2*u(i). Suppose g(n) = 0. What is n?
-1, 5
Factor 425 - 668 - 781 + 128*x - 4*x**2.
-4*(x - 16)**2
Let g be -2 - (38/418 + 134/(-22)). Let v(s) be the third derivative of 0*s**g + 4*s**2 + 0*s + 0 + 1/420*s**6 - 1/210*s**5 + 0*s**3. Factor v(z).
2*z**2*(z - 1)/7
Let j be 5/(45/2) + 64/(-180). Let n = 41/30 - j. Factor 3/2*c**2 - n*c**3 + 3/2*c - 3/2.
-3*(c - 1)**2*(c + 1)/2
Suppose -107 = -c + 5*c + h, 0 = -5*h - 15. Let s = 31 + c. Determine l so that s*l - 2*l - 5*l + 3*l**2 + 0*l**2 = 0.
0, 2/3
Let n = -1233/13 - -95. Solve 0 + 0*k**2 + 0*k + n*k**4 + 2/13*k**3 = 0 for k.
-1, 0
Let t be 2/6 + (-92)/(-12). Suppose -10 = -3*s - 4*x, -5*s + 11 + 4 = 5*x. Determine g, given that -11*g**4 + t*g**4 - 3*g + g**2 + 2*g**s + 3*g**3 = 0.
-1, 0, 1
Let d(c) be the third derivative of -c**6/24 + c**5/6 + 309*c**2. Find m such that d(m) = 0.
0, 2
Suppose -17 = -4*x - 3*c, 3*x - 2*x - c + 1 = 0. Factor 104*r + 107*r**2 + 126*r**x + 8 + 105*r**2.
2*(13*r + 2)**2
Let f(k) be the first derivative of -k**3/15 + 16*k/5 + 43. Factor f(l).
-(l - 4)*(l + 4)/5
Let s(q) be the first derivative of q**6/27 + 8*q**5/45 + q**4/18 - 20*q**3/27 - 4*q**2/9 + 16*q/9 - 11. Let s(x) = 0. What is x?
-2, 1
Let q(l) be the second derivative of 3*l**7/7 - 7*l**6/2 + 123*l**5/20 + 7*l**4/2 - 4*l**3 - l - 11. Solve q(p) = 0 for p.
-1/2, 0, 1/3, 2, 4
Let a(v) be the second derivative of -4*v + 2/3*v**4 + 8/9*v**3 - 16/3*v**2 - 1/3*v**5 + 0 + 2/45*v**6. Factor a(u).
4*(u - 2)**3*(u + 1)/3
Let c(x) be the first derivative of -x**3 + 36*x + 22 + 3/2*x**2. Factor c(o).
-3*(o - 4)*(o + 3)
Let r = -102 - -105. Let s(g) be the first derivative of 8/3*g**r - 1/2*g**4 + 3 - 5*g**2 + 4*g. What is p in s(p) = 0?
1, 2
Suppose 0 = -4*z + 3*v - 557, -285 = 2*z + 7*v - 2*v. Let