(h).
-5*h*(h - 3)**2*(5*h + 2)
Let t = -145 + 96. Let r = t + 51. Determine u, given that -3/2 + 3/2*u - 3/8*u**r = 0.
2
Let 0 - 1/7*q + 1/7*q**3 + 5/7*q**2 - 5/7*q**4 = 0. Calculate q.
-1, 0, 1/5, 1
Let m(n) = 7*n + 121. Let h be m(-17). Let g(k) be the first derivative of 6 - 1/6*k + 0*k**h + 1/18*k**3. Factor g(y).
(y - 1)*(y + 1)/6
Suppose -17 = -2*p - h - 5, -h = p - 8. Let x be (p + 0)/2*45/405. Factor 0 - x*b**2 + 2/9*b.
-2*b*(b - 1)/9
Factor 7/6*g**4 - 7/6*g**2 + 1/6*g**5 + 0 - 3/2*g**3 + 4/3*g.
g*(g - 1)**2*(g + 1)*(g + 8)/6
Let y = 15487/6 + -2587. Let s = y + 6. Solve 0*r + 1/3*r**3 + 0 - s*r**2 = 0.
0, 1/2
Let i(l) be the third derivative of 5*l**7/42 - 47*l**6/24 + 22*l**5/3 - 35*l**4/6 - 9*l**2 - 3*l. Factor i(q).
5*q*(q - 7)*(q - 2)*(5*q - 2)
Let t = -839/3 + 2519/9. Let g(r) be the first derivative of -1/2*r**2 - 1/3*r - 7 - t*r**3. Factor g(i).
-(i + 1)*(2*i + 1)/3
Let v(f) be the second derivative of -9*f**5/50 - 91*f**4/15 - 188*f**3/3 - 40*f**2 + 5*f + 6. Factor v(r).
-2*(r + 10)**2*(9*r + 2)/5
Let x = 233/374 - 23/187. Factor 1/4*w**5 + 0*w**3 - 1/4*w + 1/2*w**2 - x*w**4 + 0.
w*(w - 1)**3*(w + 1)/4
Let z be 53/6*(-3 - -2 - 0). Let a = -22/3 - z. Determine p, given that 3*p + 0 - a*p**2 = 0.
0, 2
Let r(a) = -7*a**2 + 14*a - 8. Let u(i) = 1 + 1 + i**2 - 5*i + 5*i + i. Let m(t) = r(t) + 4*u(t). Suppose m(l) = 0. What is l?
0, 6
Suppose -g = -5*z + 77, -2*z - 3*g + 20 = 2*g. Let q be (-6)/z + (-36)/(-15). Find v, given that -1 - 5*v**3 - v**4 + 3*v**3 - q*v**5 + 3*v**5 + v + 2*v**2 = 0.
-1, 1
Solve 6*p + 0 - 2/3*p**2 = 0 for p.
0, 9
Suppose u = -21*d + 22*d + 5, 0 = -3*u + 15. Let v(o) be the second derivative of -1/3*o**3 + 0*o**2 - 1/6*o**4 + 2*o + d. Suppose v(r) = 0. Calculate r.
-1, 0
Let z(m) be the second derivative of 2/3*m**4 - 40*m - 4/15*m**6 + 0*m**5 + 0*m**2 + 2/3*m**3 + 0 - 2/21*m**7. Solve z(a) = 0.
-1, 0, 1
Let c = 1079 + -1076. Suppose -2*w**c - 4/3 + 2*w + 2/3*w**4 + 2/3*w**2 = 0. Calculate w.
-1, 1, 2
Suppose -5*q = z - 43, -53 - 21 = -2*z - 4*q. Let x = z + -33. Determine o so that -2/7*o**4 + 4/7*o + x - 4/7*o**3 + 2/7*o**2 = 0.
-2, -1, 0, 1
Let x(v) be the second derivative of v**7/3360 - v**6/720 - v**5/160 + 2*v**3 - 9*v. Let c(l) be the second derivative of x(l). Solve c(t) = 0.
-1, 0, 3
Let y(r) = -4*r**3 - 23*r**2 - 8*r - 7. Let p(k) = 3*k**3 + 16*k**2 + 6*k + 5. Let l(j) = 7*p(j) + 5*y(j). Solve l(h) = 0.
0, 1, 2
Let n(m) be the first derivative of 4*m**3/3 - 2*m**2 + 53. Let n(t) = 0. What is t?
0, 1
Let s(u) = -u**3 - 7*u**2 - 3*u - 5. Suppose 9 = -0*q - 3*q - 4*z, 5*q = 5*z - 50. Let w be s(q). Let -8 - 10*l**2 + 5*l**2 + 15*l**2 + w*l = 0. Calculate l.
-2, 2/5
Let k(z) be the third derivative of -z**8/20160 - z**7/7560 + z**6/1080 + z**4/24 + 2*z**2. Let b(f) be the second derivative of k(f). What is n in b(n) = 0?
-2, 0, 1
Suppose 19/4 + 5*g + 1/4*g**2 = 0. What is g?
-19, -1
Let x(q) = q**3 + 17*q**2 + 91*q + 153. Let s(l) = 1. Let k(j) = 6*s(j) - x(j). Solve k(f) = 0.
-7, -3
Let j(a) be the second derivative of -a**6/2 + 13*a**5/2 - 15*a**4/4 - 45*a**3 - 40*a**2 - 307*a. Find q, given that j(q) = 0.
-1, -1/3, 2, 8
Find h, given that 0*h + 0 + 3/7*h**4 + 15*h**3 + 0*h**2 = 0.
-35, 0
Suppose 16 - 2 = w. Let d = w - 2. Find r, given that 80*r**4 + 8 - 8*r + 64*r**3 + 43*r**4 - 56*r**5 - 118*r**2 - d*r**4 - r**4 = 0.
-1, -2/7, 1/4, 1, 2
Let x(n) = 5*n**3 + 7*n**2 + 7*n - 31. Let z(t) = 7*t**3 + 7*t**2 + 8*t - 32. Let u(h) = 4*x(h) - 3*z(h). What is f in u(f) = 0?
-2, 2, 7
Let i(h) = 8*h - 2. Suppose 2*r - 14 = 4*b, r + b = -7 - 1. Let p(y) = y**2 + 9*y - 1. Let v(c) = r*i(c) + 2*p(c). Determine s, given that v(s) = 0.
1, 2
Let v(o) = o**3 - o. Let y(u) = -20*u**4 + 29*u**3 - 6*u**2 - 3*u. Let l(h) = 3*v(h) - y(h). Find q, given that l(q) = 0.
0, 3/10, 1
Let p(y) = 7*y**2 + 560*y + 15672. Let v(g) = -120*g**2 - 9520*g - 266420. Let q(t) = -35*p(t) - 2*v(t). Factor q(z).
-5*(z + 56)**2
Let m = 851/35 - 166/7. Factor -6/5*u - m*u**3 - 9/5*u**2 + 0.
-3*u*(u + 1)*(u + 2)/5
Determine i, given that -10/3*i - 43/6*i**3 + 4 - 5/6*i**4 - 41/3*i**2 = 0.
-6, -2, -1, 2/5
Let u(z) be the second derivative of z**7/168 + z**6/30 + z**5/20 - 4*z - 10. Determine j so that u(j) = 0.
-2, 0
Let u = -13127 + 13129. Factor 2/11*f**u + 22 + 4*f.
2*(f + 11)**2/11
Let -2/7*i**2 + 0*i + 2/7 = 0. Calculate i.
-1, 1
Let c(n) be the second derivative of -n**4/54 + n**2 + 31*n. Determine s, given that c(s) = 0.
-3, 3
Suppose -36/7*s**3 - 2/7*s**5 + 0 + 0*s**2 + 16/7*s**4 + 54/7*s = 0. What is s?
-1, 0, 3
Let i = -62 - -38. Let f = i - -24. Solve f*c + 1/5*c**2 + 2/5*c**3 + 1/5*c**4 + 0 = 0.
-1, 0
Suppose 0 = 2*v + 187 - 183. Let d be (3 - 4)*(2 + v). Factor -2/3*h**4 + d*h - 5/6*h**3 - 1/6*h**5 + 0 - 1/3*h**2.
-h**2*(h + 1)**2*(h + 2)/6
Let k(c) be the third derivative of 0*c + 0 - 1/180*c**6 + 1/36*c**3 - 32*c**2 - 1/36*c**4 + 1/1260*c**7 + 1/60*c**5. Determine f so that k(f) = 0.
1
Let z(l) = l**3 - 9*l**2 + 2*l - 14. Let q be z(9). Suppose -q*x + 9*g - 4 = 11*g, 0 = -3*x - 2*g - 4. Factor -u**2 + 3/4*u**4 + 0*u**3 + 1/4*u**5 + x + 0*u.
u**2*(u - 1)*(u + 2)**2/4
Let z(s) be the third derivative of 0*s**4 + 1/135*s**5 + 5/1512*s**8 - 1/108*s**6 + 0*s + 3*s**2 - 2/945*s**7 + 0 + 0*s**3. Let z(a) = 0. What is a?
-1, 0, 2/5, 1
Let t = 119 + -112. Let d be 2*t/(-84)*-3. Factor 1 - 3/2*h + d*h**2.
(h - 2)*(h - 1)/2
Determine b, given that 1/3*b**2 + 10201/3 + 202/3*b = 0.
-101
Determine a, given that 363/2*a**2 + 99*a + 27/2 = 0.
-3/11
Let i(w) be the second derivative of -w**8/392 + w**6/70 - w**4/28 + 10*w**2 + 17*w. Let a(q) be the first derivative of i(q). Factor a(y).
-6*y*(y - 1)**2*(y + 1)**2/7
Let v(y) be the second derivative of y**4/3 + 8*y**3/3 - 10*y**2 + y + 238. Factor v(j).
4*(j - 1)*(j + 5)
Let u = -504 + 136081/270. Let x(t) be the third derivative of -1/54*t**4 + 0*t + 1/27*t**3 + 0 - 4*t**2 + u*t**5. Factor x(q).
2*(q - 1)**2/9
Factor 2/3*l**4 + 14/3*l**2 + 0 + 0*l - 16/3*l**3.
2*l**2*(l - 7)*(l - 1)/3
Suppose -4*w + 12 = -4*g, -3*w + 13 + 3 = 4*g. Let b(s) be the first derivative of s**w + 2/3*s**3 + 2 + 0*s + 2/5*s**5 + 0*s**2. Let b(n) = 0. Calculate n.
-1, 0
Let b = -553658 + 4991779/9. Let k = -983 + b. What is v in 4/9*v**3 + 0 + k*v**4 + 0*v**2 + 0*v = 0?
-2/5, 0
Let m = -39780 + 39783. Find s such that 18/7*s**2 + 2/7*s**m + 0*s + 0 = 0.
-9, 0
Let z(b) = b**3 - b. Suppose 0*r = -2*r + 12. Let o be (r/9)/(4/6). Let j(n) = -3*n**3 + 12*n**2 + 18*n. Let d(i) = o*j(i) + 6*z(i). Let d(c) = 0. What is c?
-2, 0
Let k(z) be the second derivative of z**4/4 + 3*z**3 + 15*z**2/2 - 33*z. Suppose k(r) = 0. Calculate r.
-5, -1
Let c be (5 + -7)*2*-5. Find v, given that -c*v**2 - 105 - 18*v**2 - 2*v**3 - 198*v + 32 - 89 = 0.
-9, -1
Suppose -3/5*r**5 + 0 + 0*r**2 - 108/5*r**3 + 0*r + 36/5*r**4 = 0. Calculate r.
0, 6
Let k(q) = 6*q + 62. Let z be k(-10). Suppose -u + v = -2, -8 = z*u - 6*u + v. Let 0 + 2*b**2 - u*b - 1/2*b**3 = 0. What is b?
0, 2
Let t = 20 - 14. Suppose 11*f - t = 8*f. Solve -5*v**3 - f*v**3 - 4*v**2 + 3*v**3 - 4*v**2 - 4*v = 0.
-1, 0
Let l be ((-4)/70)/(11/(77/(-8))). Let m(c) be the third derivative of 0*c + c**2 + 1/2*c**3 - 1/4*c**4 + l*c**5 + 0. Let m(f) = 0. What is f?
1
Let d(z) be the third derivative of 0 - 1/3*z**3 + 1/15*z**6 + 1/2*z**4 - 3/10*z**5 + 0*z + 12*z**2. Factor d(r).
2*(r - 1)**2*(4*r - 1)
Let j(y) = 7 - 175*y**4 - 12*y + 2 - 2 + 16*y**2 + 176*y**4 - 3*y**3. Let m(v) = -v**3 - v**2 - 1. Let x(s) = -2*j(s) - 6*m(s). Factor x(o).
-2*(o - 2)**2*(o - 1)**2
Let q(j) = 3*j**2 + 4 - 2 - 6 - 10*j - j**2. Let i(x) = -x**2 + 10*x + 3. Let p(y) = -4*i(y) - 3*q(y). Factor p(v).
-2*v*(v + 5)
Let r(s) be the second derivative of s**6/165 - s**5/110 + 13*s + 1. Factor r(i).
2*i**3*(i - 1)/11
Let t(k) be the first derivative of -k**6/24 + k**2/2 + 11. Let m(d) be the second derivative of t(d). Factor m(n).
-5*n**3
Suppose -2*l + 14 = 6. Determine p, given that p + 20*p**3 + 69*p**4 - 50*p**2 + 10 + 4*p - 29*p**l - 25*p**5 = 0.
-1, -2/5, 1
What is r in 0*r**2 + 0*r**2 - 4*r**2 + 8*r + 5*r + 3*r = 0?
0, 4
Factor 988*d + 722*d**2 + 541 + 795 + 548 - 1546.
2*(19*d + 13)**2
Let p = -98 - -104. Let l(d) be the third derivative of 1/480*d**p - 1/24*d**3 - 1/80*d**5 - 4*d**2 + 1/32*d**4 + 0 + 0*d. Fa