actor 3*n**5 + n**2 - 4*n**2 - 3*n**z - 6*n**4 + 9*n**3.
3*n**2*(n - 1)**3
Let -4*u + 4*u**2 + 9*u - u = 0. Calculate u.
-1, 0
Let a(t) be the second derivative of t**8/1512 + t**7/945 + t**2 + t. Let x(l) be the first derivative of a(l). What is b in x(b) = 0?
-1, 0
Let r(k) be the third derivative of k**10/302400 - k**8/40320 - 3*k**5/20 - 4*k**2. Let c(d) be the third derivative of r(d). Suppose c(f) = 0. Calculate f.
-1, 0, 1
Let v = 94/135 - 8/27. Suppose 7 = 4*p - 9. Factor 4/5*t**p + 2/5*t**5 + 0*t**3 - 4/5*t**2 + 0 - v*t.
2*t*(t - 1)*(t + 1)**3/5
Let u(l) = 10*l**3 - 75*l**2 + 90*l - 50. Let a(i) = i**2 - i + 1. Let w(n) = -30*a(n) - u(n). Factor w(b).
-5*(b - 2)**2*(2*b - 1)
Let r = -3 + -16. Let w = r - -21. Solve 0 + 2/7*f**w - 4/7*f = 0 for f.
0, 2
Suppose 2*a - 6*a = 0. Solve 1/4*q**5 + 0*q - 1/4*q**2 - 1/4*q**3 + 1/4*q**4 + a = 0 for q.
-1, 0, 1
Factor f**2 + f**3 + 1 - 3 - f - 5 + 6.
(f - 1)*(f + 1)**2
Let a be -3 + 9 + -1*3. Suppose -3*v + 4*v**a + 6*v**2 + 0 - 6 - v**3 + 0*v**3 = 0. Calculate v.
-2, -1, 1
Suppose 3*t - 7 = 5. Suppose 0 = 4*x - t*y, -3*x + 2*y = 1 - 4. Factor -1 - 5*j**2 + x + 3*j**2.
-2*(j - 1)*(j + 1)
Let p(l) be the first derivative of -l**6/9 - 2*l**5/15 + 5*l**4/6 + 2*l**3/9 - 8*l**2/3 + 8*l/3 + 12. Determine r so that p(r) = 0.
-2, 1
Let a = 6 - 4. Factor -3*l - 2 - 3*l**a + 5*l**2 + 3.
(l - 1)*(2*l - 1)
Let d(m) = -m**2 + m + 1. Let y(r) = -4*r**2 + 6*r + 6. Let p(s) = 6*d(s) - y(s). Find n such that p(n) = 0.
0
Let b(q) = -q**2 + 12*q - 33. Let y be b(6). Find u, given that 0 - 1/2*u + u**y + 1/2*u**2 = 0.
-1, 0, 1/2
Suppose 12 = 2*k + k. Let i(a) = -297*a**3 - 70*a**2 + 32*a + 5. Let y(s) = -298*s**3 - 70*s**2 + 32*s + 4. Let u(l) = k*i(l) - 3*y(l). Factor u(q).
-2*(3*q - 1)*(7*q + 2)**2
Let n(s) be the first derivative of -4 + 28/5*s**5 + 0*s**3 - 2*s**4 + 0*s**2 + 0*s. Factor n(r).
4*r**3*(7*r - 2)
Let -18/5*z**2 - 24/5*z**3 + 3/5 - 9/5*z**4 + 0*z = 0. Calculate z.
-1, 1/3
Let i(d) = -7 + d + d**2 - d**3 + 7. Let c(x) = -5*x**3 + 5*x**2 + 4*x. Let a be (-24)/9*(-18)/8. Let g(z) = a*i(z) - c(z). Solve g(t) = 0.
-1, 0, 2
Let z(j) be the third derivative of -j**7/70 + j**6/40 + 3*j**5/20 - 5*j**4/8 + j**3 - 5*j**2. Find t such that z(t) = 0.
-2, 1
Let w be (-5 + 1)*(-6)/8. Let m = -17 - -19. Factor -2*f - w*f**m + 4*f**2 + 5*f + 2.
(f + 1)*(f + 2)
Let d(n) be the second derivative of 7*n**7/8 - 7*n**6/10 - 27*n**5/16 + 7*n**4/4 - n**3/2 + 19*n. Find w such that d(w) = 0.
-1, 0, 2/7, 1
Let h be 21/(-6)*(-8)/14. Determine v, given that -2 - 7 + v**h + 12 + 4*v = 0.
-3, -1
Let i(h) be the second derivative of 25*h**5/26 + 75*h**4/26 + 45*h**3/13 + 27*h**2/13 - 34*h. Find f, given that i(f) = 0.
-3/5
Let b be (1 + -2)*(7 - 6). Let o = 3 - b. Factor 2/7*i + 0 + 2/7*i**2 - 2/7*i**3 - 2/7*i**o.
-2*i*(i - 1)*(i + 1)**2/7
Let y(h) be the third derivative of -1/160*h**6 + 0*h**3 + 0*h**5 + 0*h + 0 + 0*h**4 + 4*h**2. Factor y(u).
-3*u**3/4
Let j(g) be the second derivative of 0*g**2 + 1/60*g**6 + 0*g**3 + 1/40*g**5 + 0 - 4*g + 0*g**4. Let j(l) = 0. What is l?
-1, 0
Suppose 0 = 2*j + 2*v - 5*v - 8, -j - v - 6 = 0. Let l = j + 6. Determine o, given that 3*o**l - 19*o**3 + 13*o**2 + 4*o**4 - o**5 + 12*o**2 - 16*o + 4 = 0.
1, 2
What is q in 6*q - 30*q**2 + 88*q**3 - 26*q**3 - 24*q**4 - 2*q = 0?
0, 1/4, 1/3, 2
Let b = -4 - -8. Suppose b = 3*i - i. Determine v, given that 8*v + 6*v**i + 3*v**3 - 2*v + 7*v**2 - 4*v**2 = 0.
-2, -1, 0
Let o(q) be the third derivative of -5*q**7/399 + 4*q**6/57 - 4*q**5/95 - 16*q**4/57 - 16*q**3/57 + 17*q**2. Factor o(h).
-2*(h - 2)**2*(5*h + 2)**2/19
Suppose -5*w = 3*n - 37, -26 = -4*w + 4*n + 10. Determine m, given that 28*m**5 + 12*m**5 + 0*m + 18*m**2 - w*m**3 - 54*m**4 + 4*m = 0.
-2/5, -1/4, 0, 1
Let u(w) be the third derivative of -w**6/210 - w**5/70 + w**3/21 - 6*w**2. Factor u(r).
-2*(r + 1)**2*(2*r - 1)/7
Suppose -15 - 4*c**2 - 17*c**2 - 3*c**3 - 32*c - c = 0. Calculate c.
-5, -1
Let q be (-27)/((-162)/484) - (-1)/3. Suppose q*h**3 + 81/2*h**4 + 3/2 + 54*h**2 + 15*h = 0. What is h?
-1, -1/3
Let o be 0*(2 + -1) + 20. Let c = -59/3 + o. Determine r so that -c*r + 1/3*r**2 + 0 = 0.
0, 1
Let m be (2 + 1)/(-6)*0. Suppose a - 2 = -m. Determine q so that -2*q - 7*q + 3*q**a + 9 - 3*q = 0.
1, 3
Let n(c) = c. Let h(b) = -b**3 + 6*b**2 - 3*b - 7. Let g be h(5). Let a be n(g). Suppose 0 - 4/5*k + 14/5*k**2 - 2*k**a = 0. Calculate k.
0, 2/5, 1
Solve 200*q + 2000 + 8*q**2 + 8*q**2 - 11*q**2 = 0 for q.
-20
Let q = -26/15 + 12/5. Factor 2/9*u**5 - 2/9 + 4/9*u**3 - 4/9*u**2 - 2/3*u + q*u**4.
2*(u - 1)*(u + 1)**4/9
Let n = -24 - -24. Let v(i) be the first derivative of -i**2 - 4/3*i**3 - 1 + 4/5*i**5 + 1/2*i**4 + n*i. Determine j so that v(j) = 0.
-1, -1/2, 0, 1
Let t = 408 + -406. Factor 0 - k**4 - 5/3*k**t + 1/3*k + 7/3*k**3.
-k*(k - 1)**2*(3*k - 1)/3
Suppose 3*b + 3 = 12. Suppose -b*a = 2*a. Let a - 1/2*v**2 + 0*v + 1/4*v**3 = 0. Calculate v.
0, 2
Let f(u) be the second derivative of -2/27*u**3 + 1/54*u**4 + 1/9*u**2 + 0 - 3*u. Factor f(o).
2*(o - 1)**2/9
Suppose -5*k + k + 12 = 0, -2*u - 5*k = 89. Let q be 3 - u/(-14) - -1. Determine z so that -q*z - 2/7*z**3 + 4/7*z**2 + 0 = 0.
0, 1
Let d be 40*-3*(-3)/198. Let u = d - 69/44. Determine o so that o - u*o**2 - 1 = 0.
2
Let h(i) be the third derivative of -2*i**7/245 + i**6/40 - i**5/70 - i**4/56 - 35*i**2. Determine w, given that h(w) = 0.
-1/4, 0, 1
Suppose 3*n - 5*n = -2*c - 14, -n - 23 = 5*c. Suppose 5*v - n*l = 8, -5*v + 4*l + 7 = l. Suppose -y - 4*y**2 - 3 - y**2 + 10*y + 17*y**v = 0. What is y?
-1, 1/4
Factor -14*k**3 + 26*k**3 + 12*k**2 + 23*k**3 - 20*k**4 - 2*k**2.
-5*k**2*(k - 2)*(4*k + 1)
Let x(h) = -8*h**4 - 5*h + 5. Let n(q) = q**4 + q - 1. Let s(a) = -5*n(a) - x(a). Determine j so that s(j) = 0.
0
Let t(u) be the third derivative of -7*u**5/15 - u**4/2 - u**3 - 4*u**2. Let j(k) = -57*k**2 - 25*k - 11. Let h(c) = 4*j(c) - 7*t(c). Factor h(s).
-2*(4*s + 1)**2
Let c(u) be the third derivative of 0 + 4*u**2 + 1/672*u**8 + 1/120*u**6 - 1/16*u**4 + 1/140*u**7 + 0*u - 1/60*u**5 - 1/12*u**3. Solve c(o) = 0.
-1, 1
Let k(b) be the third derivative of b**7/630 - b**6/360 - b**5/60 + b**4/72 + b**3/9 - 7*b**2. Determine s, given that k(s) = 0.
-1, 1, 2
Let g = 46 + -44. Factor 2/3 - 4/3*b + 0*b**g + 4/3*b**3 - 2/3*b**4.
-2*(b - 1)**3*(b + 1)/3
Suppose g = -5*h - 120, -h + 0*g = g + 28. Let b = 25 + h. Determine a so that 1/4*a - 1/4*a**b + 0 = 0.
0, 1
Let v(j) = j**3 - j**2 - j - 1. Let t(c) = -8*c**3 + 28*c**2 - 14*c + 6. Let b(q) = -t(q) - 6*v(q). Factor b(a).
2*a*(a - 10)*(a - 1)
Let i(c) be the third derivative of 1/24*c**4 - 1/420*c**7 + 5*c**2 + 0 + 0*c + 1/40*c**5 + 0*c**3 + 0*c**6. Factor i(s).
-s*(s - 2)*(s + 1)**2/2
Let u(a) be the first derivative of -3*a**4 - 16*a**3/3 + 10*a**2 + 8*a + 3. Factor u(h).
-4*(h - 1)*(h + 2)*(3*h + 1)
Let x(s) be the third derivative of 0*s**3 + 0*s**4 - 6*s**2 + 0*s - 1/20*s**5 + 0. What is u in x(u) = 0?
0
Determine f so that 22*f**3 + 16*f - 2*f**5 - 9*f**2 + 40*f**2 - 7*f**2 + 12*f**2 = 0.
-2, -1, 0, 4
Factor -6*v**2 - 4*v**2 + 5*v**2 + v**2 + 4*v.
-4*v*(v - 1)
Let p(s) = 23*s**3 + 36*s**2 - 48*s - 21. Suppose 3 = k - 1. Let n(l) = 24*l**3 + 36*l**2 - 48*l - 20. Let q(t) = k*p(t) - 5*n(t). Factor q(w).
-4*(w - 1)*(w + 2)*(7*w + 2)
Suppose 3*r = 5*s - 44 - 26, 3*r + 56 = 4*s. Let g be 3/s + 8/28. Suppose -1/2*y**2 + 0*y + g*y**4 + 0 + 1/4*y**5 - 1/4*y**3 = 0. What is y?
-2, -1, 0, 1
Let f(n) be the second derivative of -1/18*n**3 + 1/90*n**6 - n + 0 + 1/60*n**5 + 0*n**2 - 1/36*n**4. Determine m so that f(m) = 0.
-1, 0, 1
Suppose -18 = 2*s - 0. Let k be (12/s)/((-2)/3). Solve 2/3*m**k + 0 + 2/3*m = 0.
-1, 0
Suppose o - 52 + 50 = 0. Let u(a) be the third derivative of -1/12*a**4 + 1/60*a**5 + a**o + 1/6*a**3 + 0*a + 0. Factor u(j).
(j - 1)**2
Let l be 42/(-7)*((-8)/9)/4. Factor -l*h**3 - 2/9*h + 8/9*h**4 + 8/9*h**2 - 2/9*h**5 + 0.
-2*h*(h - 1)**4/9
Let g = -42 - 8. Let a = g - -252/5. Factor 4/5*c**2 - a*c + 0 - 2/5*c**3.
-2*c*(c - 1)**2/5
Suppose y - 15 = 2*y + 5*m, 0 = -2*y - 4*m - 12. Let u(d) = d**3 - 2*d**2 + 1. Let h be u(1). Factor -x**4 + 0*x + y - 2/3*x**3 + h*x**2 - 1/3*x**5.
-x**3*(x + 1)*(x + 2)/3
Suppose 4*a**2 + 12*a + 16 + 13 - 26 + 5 = 0. Calculate a.
-2, -1
Suppose 5*v + 529 - 174