2*(g + 1)**2*(g + 3)/4
Let w(j) = 30*j**5 + 109*j**4 + 149*j**3 + 97*j**2 + 25*j - 6. Let f(p) = p**2 - 2. Let s(o) = 4*f(o) - w(o). Solve s(h) = 0 for h.
-1, -1/2, -2/15
Let r be (-1383)/60 - 1/(-4) - -2. Let y = r - -106/5. Let y*b**2 - 4/5 - 2/5*b = 0. Calculate b.
-1, 2
Let d(g) = -9*g**4 - 32*g**3 + 72*g**2 - 108. Suppose -91 = -6*b - b. Let m(t) = 4*t**4 + 16*t**3 - 36*t**2 + 54. Let p(v) = b*m(v) + 6*d(v). Factor p(x).
-2*(x - 3)**3*(x + 1)
Let x be 23/(-46) - 26/(-48). Let o(c) be the first derivative of 3/20*c**5 + 3/8*c**2 - x*c**6 - 1/8*c**4 + 2 - 1/6*c**3 - 1/4*c. Factor o(f).
-(f - 1)**4*(f + 1)/4
Let w be (1 - 1) + (2 - (-1 - -1)). Let y(p) be the first derivative of 1/2*p**4 - 4/3*p**3 + 2/5*p**5 + 0*p**w - 5 + 0*p. Factor y(z).
2*z**2*(z - 1)*(z + 2)
Let i(x) be the third derivative of x**6/840 + 11*x**5/105 + 85*x**4/168 + x**3 - 14*x**2. Find a such that i(a) = 0.
-42, -1
Let i(m) = 3*m**2 - 3*m - 3. Let l(h) = h**3 - 6*h**2 + 5*h + 5. Let s(t) = 5*i(t) + 3*l(t). Solve s(c) = 0.
0, 1
Let u(l) be the third derivative of -2*l**5/3 + 35*l**4/8 + 60*l**2. Factor u(v).
-5*v*(8*v - 21)
Let d(u) = -9*u**3 - 26*u**2 - 11*u + 30. Let z(o) = 7*o**3 + 24*o**2 + 12*o - 31. Let g(m) = -3*d(m) - 4*z(m). Suppose g(n) = 0. What is n?
-17, -2, 1
Let m(b) be the third derivative of b**6/24 - b**5/6 - 5*b**4/6 + 20*b**3/3 - 69*b**2. Factor m(z).
5*(z - 2)**2*(z + 2)
Let t(j) = j**3 + 6*j**2 + 5*j + 2. Let s be t(-5). Let z = -164 - -168. Factor -x**s + 3*x**2 - 5*x**3 + 6*x**z + 2*x**5 + 11*x**3.
2*x**2*(x + 1)**3
Let c(h) be the second derivative of h**5/70 - 37*h**4/42 - 11*h**3/3 - 39*h**2/7 + 81*h - 2. Let c(g) = 0. Calculate g.
-1, 39
Let y = 17 - 13. Suppose -y*n + 48 = 12. Determine q so that 12*q - 7*q**2 + 2*q**2 + 8*q**2 + n = 0.
-3, -1
Let f(x) be the first derivative of x**7/210 - x**5/60 + 17*x**2/2 + 12. Let c(w) be the second derivative of f(w). Factor c(t).
t**2*(t - 1)*(t + 1)
Let u(f) be the first derivative of -f**8/560 - f**7/350 + f**6/200 + f**5/100 + 5*f**2/2 - 7. Let p(k) be the second derivative of u(k). What is x in p(x) = 0?
-1, 0, 1
Let h(j) = -41*j**4 + 372*j**3 - 975*j**2 + 244*j - 12. Let u(n) = -122*n**4 + 1114*n**3 - 2925*n**2 + 733*n - 34. Let s(f) = -17*h(f) + 6*u(f). Factor s(v).
-5*v*(v - 5)**2*(7*v - 2)
Let k(f) be the first derivative of f**4/2 - 26*f**3/3 - 207. Factor k(r).
2*r**2*(r - 13)
Let f = -86/39 + 628/273. Let j(l) be the second derivative of -6*l + 0*l**3 + f*l**7 + 0 + 0*l**2 - l**4 - l**5 - 2/15*l**6. Factor j(t).
4*t**2*(t - 3)*(t + 1)**2
Let d be (7/20)/((-178)/(-9345)). Factor 3/8*t**2 + d + 21/4*t.
3*(t + 7)**2/8
Let l(z) = z**2 - 13*z - 25. Let h be l(15). Suppose -4*m + 8 = -4*b, -m - 4 = h*b - 6. Solve -a**m + 5/2*a + 3/2 = 0 for a.
-1/2, 3
Let d(t) be the first derivative of t**5/40 - t**4 - 9*t**3 - 28*t**2 - 38*t - 328. Factor d(a).
(a - 38)*(a + 2)**3/8
Factor -7*u**2 - u**2 + 5 + 4*u**2 - 12*u**3 - 1 + 10*u**3 + 2*u.
-2*(u - 1)*(u + 1)*(u + 2)
Let q be 682/8525*(-10)/(-2). Let h be (-4)/(-3)*(-6)/(-10). Solve 2/5*b**2 - q - h*b + 4/5*b**3 = 0.
-1, -1/2, 1
Suppose -278*s = -271*s - 28. Factor 0 + 0*m + 0*m**3 + 1/3*m**s - 1/3*m**2.
m**2*(m - 1)*(m + 1)/3
Let r(t) = -2*t**2 + 87*t + 488. Let n be r(-5). Factor f + 0 + 1/3*f**n + 4/3*f**2.
f*(f + 1)*(f + 3)/3
Suppose 0 - 1/2*d**2 + 0*d**3 + 1/4*d**5 + 1/2*d**4 - 1/4*d = 0. What is d?
-1, 0, 1
Let x(f) be the second derivative of f**5/16 - 5*f**4/48 + 4*f + 23. Factor x(a).
5*a**2*(a - 1)/4
Let h(g) = -4*g**4 - 2*g**3 - 3*g**2 - 5. Let r(p) = -5*p**4 - 3*p**3 - 4*p**2 - 6. Let t(k) = 6*h(k) - 5*r(k). Factor t(x).
x**2*(x + 1)*(x + 2)
Let x(d) be the first derivative of 4*d**5/5 - 44*d**4 + 2104*d**3/3 - 1848*d**2 + 1764*d + 144. Let x(v) = 0. What is v?
1, 21
Let i(v) be the second derivative of v**6/30 - v**5/20 - 13*v**4/16 - 17*v**3/12 - v**2 + 3*v + 24. Solve i(n) = 0 for n.
-2, -1/2, 4
Suppose 26 = -5*z - 6*j + 5, 3 = 5*z + 2*j. Factor 0*g**2 + 0 + 0*g - 3/2*g**z.
-3*g**3/2
Let a(o) be the second derivative of -5/2*o**2 - 4*o + 1/30*o**5 + 0 + 0*o**3 + 1/12*o**4. Let i(w) be the first derivative of a(w). Factor i(v).
2*v*(v + 1)
Let p be 38/9 + 8/(-6) + 16/(-6). Factor 0 + 1/9*x**3 + 0*x - p*x**2 + 1/9*x**4.
x**2*(x - 1)*(x + 2)/9
Determine b, given that -1/4*b**4 + b**2 + 0 - 2*b + 1/2*b**3 = 0.
-2, 0, 2
Solve 201*b**3 - 141*b**3 + 28*b**4 - 64*b - 37 - 11 + 4*b**5 + 20*b**2 = 0 for b.
-3, -2, -1, 1
Suppose -5*p = -6*n + 3*n + 8, -5*p + 16 = n. Let h(o) be the first derivative of 0*o**2 - 2/9*o**3 + 0*o + 1/12*o**4 - n. Solve h(m) = 0 for m.
0, 2
Let m(q) be the first derivative of 2*q**3/21 + 13*q**2/7 + 24*q/7 + 238. Determine b so that m(b) = 0.
-12, -1
Suppose -5*q + 5 = 3*l - 2, 0 = 2*l + 2*q - 6. Suppose -l*v = 3*i - 2*v - 14, -4*v + 8 = -4*i. Factor 2 + i*u**2 + 3 - 1 - 6*u.
2*(u - 2)*(u - 1)
Suppose 22/5*d**2 + 12/5*d + 2/5*d**5 + 0 - 26/15*d**4 - 2/15*d**3 = 0. What is d?
-1, -2/3, 0, 3
Let s(b) = b**2 + 8*b - 2. Let h be s(-8). Let l be 1/h - (-3 - -1). Suppose -3/2*g**4 - l*g**3 + 0 - 1/2*g**5 - 1/2*g**2 + 0*g = 0. What is g?
-1, 0
Find s, given that 0*s - 4/3*s**4 + 4/3*s**5 - 40/3*s**3 - 32/3*s**2 + 0 = 0.
-2, -1, 0, 4
Factor -15/2 + 1/2*b + 1/8*b**2.
(b - 6)*(b + 10)/8
Let g(y) be the second derivative of 0*y**4 + 0*y**2 - 1/14*y**7 - 1/5*y**6 + 0 - 3/20*y**5 + 0*y**3 + 23*y. Factor g(j).
-3*j**3*(j + 1)**2
Determine i so that 72*i + 95*i**3 - 5*i**4 - 22*i + 0*i**4 - 15*i**2 - 125*i**3 = 0.
-5, -2, 0, 1
Let h(n) = 2*n**2 + 11*n + 5. Let z be h(-5). Suppose 3*u + m = 2, u - 8 = -z*m - 4*m. Factor 2/7*t**2 - 4/7*t + u.
2*t*(t - 2)/7
Let b(n) = 4*n + 23. Let r be b(-5). Factor 3*d**r - 2*d**4 - 12*d**4 + 4*d**2 - d**3 + 8*d**3.
-2*d**2*(d - 1)*(7*d + 2)
Factor 86/9*j + 2/3*j**2 - 20/3.
2*(j + 15)*(3*j - 2)/9
Let i(c) = -184*c - 2572. Let d be i(-14). Factor -1/2*h**2 + 1/2*h**d + 0 - h**3 + 3/4*h + 1/4*h**5.
h*(h - 1)**2*(h + 1)*(h + 3)/4
Factor 4 - 7 + 10*b**4 - 9*b**2 - 4*b**4 + 6 - 3*b**3 + 3*b.
3*(b - 1)**2*(b + 1)*(2*b + 1)
Let x(u) be the first derivative of u**6/57 - 8*u**5/19 - 22*u**4/19 - 4*u**3/57 + 43*u**2/19 + 44*u/19 + 66. What is z in x(z) = 0?
-1, 1, 22
Let d(l) = -l**2. Let y(q) = -51*q + 61. Let m(n) = 26*n - 31. Let z(h) = 11*m(h) + 6*y(h). Let o(r) = 20*d(r) - 5*z(r). Suppose o(p) = 0. What is p?
5/2
Let j(k) be the third derivative of k**8/10080 - k**7/630 + k**6/90 + 17*k**5/60 + 17*k**2. Let x(p) be the third derivative of j(p). Solve x(w) = 0.
2
Let f(t) be the second derivative of -t**4/36 - 29*t**3/9 + 297*t. Determine m so that f(m) = 0.
-58, 0
Let -39*g - 450 + 7*g - 7*g - 21*g - 2*g**2 = 0. Calculate g.
-15
Let d(r) = 16*r**5 + 40*r**4 + 32*r**3 - 40*r**2 - 24*r. Let w(f) = -f**5 - f**4 - f**3 + f**2. Let x(l) = -d(l) - 12*w(l). Suppose x(h) = 0. Calculate h.
-6, -1, 0, 1
Let d(v) be the second derivative of v**7/840 - v**6/60 + 3*v**5/40 + 5*v**4/12 + 18*v. Let j(x) be the third derivative of d(x). Let j(i) = 0. Calculate i.
1, 3
Factor 4274 + 510*v - 5*v**2 - 12009 - 5270.
-5*(v - 51)**2
Solve 1310*g**2 + 12*g + 12*g - 1318*g**2 - 2*g**3 = 0 for g.
-6, 0, 2
Let w(v) = -6*v**3 + 15*v**2 - 6*v + 15. Let m(j) = 6*j + 0*j - 5*j + 0*j - 1. Let x(z) = 15*m(z) + w(z). Find q such that x(q) = 0.
-1/2, 0, 3
Find x such that 4*x**4 - 344*x**2 - 40*x**3 - 52*x + 16 + 12*x**3 + 404*x**2 = 0.
1, 4
Determine q, given that 16 + 5*q**3 + 22*q**4 - 14*q**4 - 12*q + q**5 - 16*q**2 - 2*q**4 = 0.
-4, -2, 1
Suppose 0 = -l + 2. Determine i so that -3*i**3 + 4*i + 11*i - l*i**3 - 10 = 0.
-2, 1
Let -5*r**3 - 3*r**4 + 13*r**4 - 12*r**4 + r**5 + 8*r + 2*r**2 - 4*r**3 = 0. Calculate r.
-2, -1, 0, 1, 4
Let m(n) = -n**2 + 9*n - 1. Let h be m(8). Suppose 2*v = 4*q + v - h, 4*q - 3*v = 5. Let t**3 - 2/3*t**4 + 1/3*t**q + 1/3 - t = 0. Calculate t.
-1, 1/2, 1
Let w be (9/18)/(30/4). Let x(d) be the first derivative of 1/9*d**3 - 6 - 2/3*d + w*d**5 + 1/2*d**2 - 1/4*d**4. Suppose x(i) = 0. Calculate i.
-1, 1, 2
Let m(t) = -t**3 + 5*t**2 + t + 1. Let s(w) = -6*w**3 + 29*w**2 + 6*w + 5. Let l = 78 + -112. Let g(b) = l*m(b) + 6*s(b). Solve g(v) = 0.
-1, 1, 2
Let k(r) = 9*r**4 - 21*r**3 + 21*r**2 - 10*r - 10. Let u(h) = 4*h**4 - 10*h**3 + 10*h**2 - 4*h - 4. Let t(b) = -2*k(b) + 5*u(b). Factor t(j).
2*j**2*(j - 2)**2
Let