at is k?
0, 10
Let v = -3128 + 3131. Suppose 2/7*c**v - 4/7*c**2 + 2/7*c + 0 = 0. What is c?
0, 1
Let f(l) be the first derivative of -3/5*l**5 + 3*l**3 + 6 + 6*l - 15/2*l**2 + 3/4*l**4. Find n, given that f(n) = 0.
-2, 1
Suppose c - 4*x - 60 = -4*c, -c + 4*x = -12. Suppose 0 = -c*m + 15*m - 9. Let -2*b**3 + 2*b - b**3 + b**m = 0. Calculate b.
-1, 0, 1
Let u(g) be the third derivative of 15*g**2 + 0*g + 1/21*g**3 + 1/210*g**6 + 0 - 1/42*g**4 - 1/735*g**7 + 0*g**5. Factor u(v).
-2*(v - 1)**3*(v + 1)/7
Suppose m + 4*j - 42 + 1 = 0, 5*j = -m + 38. Determine y, given that -10*y**3 + m*y**5 + 96*y**4 + 98*y**3 + 57*y**2 - 25*y**2 - 17*y**5 + 4*y = 0.
-1, -1/3, 0
Factor -137*o - 137*o - 2*o**2 + 18 + 258*o.
-2*(o - 1)*(o + 9)
What is i in 2/5*i**4 + 4/5*i**3 + 0 - 2/5*i**2 - 4/5*i = 0?
-2, -1, 0, 1
Let i(p) = -2*p**4 + p**3 - p. Let o(x) = -4*x**5 + 8*x**4 + 14*x**3 - 12*x**2 + 6*x. Let l(b) = 6*i(b) + o(b). Factor l(a).
-4*a**2*(a - 1)**2*(a + 3)
Let c(m) = -3*m - 51. Let j be c(-17). Let -5*d - 6*d**3 + j*d**3 + 11*d**3 = 0. What is d?
-1, 0, 1
Let p be (46/8 - 7)*(-4)/1. Let s(a) be the third derivative of 0*a + 0 - 1/3*a**3 - a**2 - 7/12*a**4 - 49/120*a**p. Suppose s(r) = 0. What is r?
-2/7
Factor 4*u**3 + 16 - 12*u + 455*u**2 - 2*u**3 - 461*u**2.
2*(u - 4)*(u - 1)*(u + 2)
Let l = 13 + -6. Let h(k) = 7*k**2 - 33*k + 2. Let q(c) = -22*c**2 + 98*c - 7. Let v(g) = l*h(g) + 2*q(g). Factor v(t).
5*t*(t - 7)
Suppose 0 = 14*y - 18*y. Let u(p) be the second derivative of -4*p + y + 1/6*p**4 + 0*p**3 - p**2. Suppose u(v) = 0. Calculate v.
-1, 1
Factor 5*d + 0*d**2 + 0*d**2 + 12 - 4*d**2 - 6*d - 7*d.
-4*(d - 1)*(d + 3)
Let v = 360 - 358. Let a(u) be the first derivative of -v*u + 2/3*u**3 - 10 + 0*u**2. Factor a(z).
2*(z - 1)*(z + 1)
Let k = -119 + 125. Let f(h) be the third derivative of 0*h**3 + 1/360*h**5 + 0 + 0*h - 1/144*h**4 - k*h**2. Solve f(u) = 0 for u.
0, 1
Let g(c) be the second derivative of 0 + 1/84*c**7 + 1/24*c**4 - 17*c + 0*c**2 + 0*c**3 + 1/80*c**5 - 1/24*c**6. Determine z so that g(z) = 0.
-1/2, 0, 1, 2
Let p(r) be the first derivative of r**4/20 + 8*r**3/15 + 3*r**2/2 - 229. Factor p(o).
o*(o + 3)*(o + 5)/5
Let o be (-11)/(-1) + 198/(-33). Let f(l) be the first derivative of 1/4*l**4 - 4/3*l**3 - 2*l + o + 5/2*l**2. Suppose f(g) = 0. What is g?
1, 2
Suppose 0 = h - 9 + 8. Suppose 4*o + h = -2*d - 5, -2*o - 4*d = 12. Factor o - 2/5*n - 1/5*n**2.
-n*(n + 2)/5
Let l be (99 + -106)*9/7 - -11. Factor -1/4*x + 0 - 1/4*x**l.
-x*(x + 1)/4
Let d = 4 + -1. Suppose 5*i - 3*r - 24 = 2*i, -r - 16 = -d*i. Let i*w**4 + 6*w**3 - 2*w**4 - 10*w**4 + 2*w**5 = 0. Calculate w.
0, 1, 3
Let r(x) = x**3 + x**2 - 3*x + 1. Let d(b) = -b**3 + 18*b**2 - 26*b + 2. Let m(p) = -3*d(p) + 6*r(p). Factor m(j).
3*j*(j - 2)*(3*j - 10)
Let a(q) be the second derivative of -q**7/26460 + q**6/630 - q**5/35 - q**4/6 + 14*q. Let b(m) be the third derivative of a(m). Factor b(n).
-2*(n - 6)**2/21
What is r in 44*r - 14 - 2*r**2 - 38 + 0*r**2 + 3*r**2 + 7*r = 0?
-52, 1
Let b(n) = 12*n**5 - 36*n**4 + 24*n**3 + 16*n**2 - 20*n + 12. Let q(o) = -4*o**5 + 12*o**4 - 8*o**3 - 5*o**2 + 6*o - 4. Let f(c) = 3*b(c) + 8*q(c). Factor f(p).
4*(p - 1)**4*(p + 1)
Let r(k) = -k**3 + 6*k**2 - 5*k - 9. Let b be r(5). Let j = -5 - b. Factor -5*a - 5*a**5 - 10*a**2 + 0*a**3 - 5*a**j + 2*a**3 + 10*a**4 + 8*a**3 + 5.
-5*(a - 1)**3*(a + 1)**2
Find y such that 48 - 6*y**4 + 1304*y**2 - 1372*y**2 - 8*y - 37*y**3 - y**3 = 0.
-3, -2, 2/3
Let c = 30878 - 30876. Factor -2/7*r**3 + 0 + 0*r**c + 0*r - 18/7*r**5 + 12/7*r**4.
-2*r**3*(3*r - 1)**2/7
Let z(v) be the first derivative of -v**6/4 + 3*v**5/5 + 3*v**4/4 - 2*v**3 - 3*v**2/4 + 3*v - 66. Solve z(m) = 0 for m.
-1, 1, 2
Let i be ((-699)/(-36) - 24)/(15/(-6)). Suppose i*w + 121/12 + 1/12*w**2 = 0. What is w?
-11
Let y(k) = -k**3 - 4*k**2 + 6*k. Let z be y(-5). Let v(c) = -4*c**3 - c**2 + 29*c + 5. Let d(g) = -g**2 + g + 1. Let a(p) = z*d(p) + v(p). Factor a(o).
-4*o*(o - 3)*(o + 2)
Let x(b) be the second derivative of -3*b**7/35 + 2*b**6/5 - b**5/2 + 4*b**3/15 - 3*b + 98. Suppose x(n) = 0. Calculate n.
-1/3, 0, 2/3, 1, 2
Let u(d) be the second derivative of -d**6/10 - 87*d**5/20 - 193*d**4/4 + 285*d**3/2 + 675*d**2 + 123*d. Find z, given that u(z) = 0.
-15, -1, 2
Let j(c) be the second derivative of -c**6/24 + 5*c**4/8 - 5*c**3/3 - 21*c**2/2 + 28*c. Let n(x) be the first derivative of j(x). Solve n(u) = 0 for u.
-2, 1
Let j be 12/24 - 11/(-2). Suppose -j*t - 1 = -19. Factor 0*x**4 - 2/3*x**t + 1/3*x**5 + 0 + 0*x**2 + 1/3*x.
x*(x - 1)**2*(x + 1)**2/3
Let u = 41 - 36. Let h(l) = -9*l**3 - 69*l**2 + 81*l - 3. Let s(n) = -2*n**3 - 17*n**2 + 20*n - 1. Let c(g) = u*h(g) - 21*s(g). Factor c(p).
-3*(p - 2)*(p - 1)**2
Let s be 60/22 + 300/1100. Suppose 2/3*d + 1/3*d**s + 0 - d**2 = 0. Calculate d.
0, 1, 2
Let z(j) = -2*j + 1. Let o be z(-4). Factor -6*l - o*l + 25*l**2 + 15*l + 20*l.
5*l*(5*l + 4)
Suppose -4*x - 9 = -5*x + 4*j, 4*j - 16 = -4*x. Let i(d) be the first derivative of 2/9*d**3 - 1/3*d**4 + 2 + 0*d**2 + 2/15*d**x + 0*d. Factor i(r).
2*r**2*(r - 1)**2/3
Let n = 1341 - 6702/5. Suppose -24/5*w**3 + n + 6/5*w - 12/5*w**2 = 0. What is w?
-1/2, 1/2
Let a(o) be the first derivative of -o**3/27 - 2*o**2/3 - 11*o/9 - 31. Factor a(v).
-(v + 1)*(v + 11)/9
Let h(a) be the first derivative of 0*a**2 + 15 - 2/3*a**4 + 0*a**3 + 2/9*a**6 + 0*a + 4/15*a**5. Suppose h(f) = 0. Calculate f.
-2, 0, 1
Let x(a) be the first derivative of 5*a**6/39 - 24*a**5/65 - 11*a**4/26 + 4*a**3/13 + 577. Solve x(j) = 0.
-1, 0, 2/5, 3
Suppose 4*p + 3*k + 9 = 2*p, 5 = -k. Suppose 0 + 0*v**2 + 0*v**p - 3/5*v**4 + 0*v = 0. Calculate v.
0
Suppose 8*y + 100 = -81 + 205. Factor -u - 1/5*u**y + 2/5 + 4/5*u**2.
-(u - 2)*(u - 1)**2/5
Let u = -11 + 3. Let o be u*(-2 - (-3)/(-4)). Factor -2*a**3 - 5*a - 28*a**2 - 2 - a + o*a**2.
-2*(a + 1)**3
Solve 16/7*y + 2/7*y**4 - 8/7 - 4/7*y**3 - 6/7*y**2 = 0.
-2, 1, 2
Let s = -19881 - -298384/15. Let r(q) be the third derivative of -s*q**5 + 26/3*q**4 + 4*q**2 + 0*q - 8/3*q**3 + 0. Let r(l) = 0. What is l?
2/13
Let m(q) be the second derivative of -5*q**4/6 - 5*q**3/2 - 130*q. Let m(r) = 0. Calculate r.
-3/2, 0
Let l(j) be the third derivative of -j**5/105 - 41*j**4/168 - 5*j**3/21 - 437*j**2. Suppose l(y) = 0. What is y?
-10, -1/4
Let u be 3 + -2 + 4 + 1. Let i be 2 - 0 - (-4 - u). Factor k**4 - 4*k**3 - 2*k + 4*k**2 - i*k**4 + 7*k**4 + 6*k.
-4*k*(k - 1)*(k + 1)**2
Factor -47/3*d**2 - 103823/9 - 2209/3*d - 1/9*d**3.
-(d + 47)**3/9
Let s(y) be the third derivative of -y**7/140 + 97*y**6/80 + 297*y**5/40 + 299*y**4/16 + 25*y**3 + 61*y**2. Factor s(k).
-3*(k - 100)*(k + 1)**3/2
Let c(n) be the third derivative of -5*n**6/18 + 17*n**5/3 + 12*n**4 + 88*n**3/9 + 2*n**2 + 2. Determine x so that c(x) = 0.
-2/5, 11
Suppose -l = l - 9*l. Let y(t) be the third derivative of t**2 + 7/600*t**6 + 1/150*t**5 + 0*t + 2/525*t**7 + l*t**3 - 1/120*t**4 + 0. What is g in y(g) = 0?
-1, 0, 1/4
Let w(t) be the third derivative of 0 + 0*t**3 - 26*t**2 + 1/6*t**4 - 1/60*t**5 + 0*t. Factor w(m).
-m*(m - 4)
Suppose -4*m = 5*x - 3 - 20, 0 = 5*x + 5. Suppose m*a - 105 = 2*a. Factor 5 + 1 - a*f + 0 + 9*f**2 + 0*f.
3*(f - 2)*(3*f - 1)
Let c(y) = 3*y - 4. Let f be c(3). Let k(n) = -n**2 + 7*n - 7. Let j be k(f). Solve -6*v**4 + 3 + 4*v - 6*v**2 - 16*v**j - 2 - 1 = 0 for v.
-2, -1, 0, 1/3
Solve -7/5*b**2 + 4/5 - 12/5*b = 0.
-2, 2/7
Let m be 35/(-455) - 2140/(-780). Factor -8/3 - 2/3*y**2 + m*y.
-2*(y - 2)**2/3
Suppose -42*l + 39*l - 3 = 0. Let s be -2 - (4 + (l - 5)). Factor s*x + 2/9*x**3 + 0 + 2/9*x**2.
2*x**2*(x + 1)/9
Let d(n) be the third derivative of n**5/15 + n**4/2 - 8*n**3/3 + 4*n**2. Determine q so that d(q) = 0.
-4, 1
Let t(v) be the third derivative of v**6/60 + v**5/15 + v**4/12 + 5*v**3/3 - 12*v**2. Let u(c) be the first derivative of t(c). Factor u(j).
2*(j + 1)*(3*j + 1)
Let i(a) = 3*a**4 - 25*a**3 - 47*a**2 + 23*a + 51. Let v(m) = -8*m**4 + 74*m**3 + 140*m**2 - 66*m - 154. Let o(j) = 14*i(j) + 5*v(j). Factor o(q).
2*(q - 1)*(q + 2)**2*(q + 7)
Let d(l) = -15*l**3 - 30*l**2 + 66*l. Let p(a) = 2*a**3 + a. Let k(r) = d(r) + 9*p(r). Factor k(y).
3*y*(y - 5)**2
Let w be (-10 - 0)/(-2) + 118/(-24). Let y(u) be the second derivative of 5/24*u**3 + 1/80*u**5 + u + w*u**4 + 0 + 1/4*