*s**2 + 2/15*s**3 + 0 + 1/60*s**4 + 0*s. What is j in f(j) = 0?
-1, 2
Let x(w) = w**3 + 7*w**2 - 9*w - 8. Let s be x(-8). Let y(f) be the first derivative of -1 + s*f + 1/2*f**2 - 5/6*f**3. Factor y(k).
-k*(5*k - 2)/2
Factor -88/5*i**2 - 94/5*i - 4 - 14/5*i**3.
-2*(i + 1)*(i + 5)*(7*i + 2)/5
Find w such that 0 - 3034/7*w**2 - 2/7*w**4 - 5476/7*w - 152/7*w**3 = 0.
-37, -2, 0
Let j be 18/4 + -12 + (-4 - -12). Factor 1/4*y**3 - 1/4*y + j - 1/2*y**2.
(y - 2)*(y - 1)*(y + 1)/4
Let g(r) be the second derivative of r**9/30240 - r**8/13440 + 9*r**4/4 - 24*r. Let o(y) be the third derivative of g(y). Factor o(q).
q**3*(q - 1)/2
Determine g so that 25*g - 157*g + 85*g - 233*g - 5*g**2 = 0.
-56, 0
Let l(i) be the first derivative of i**4 + 328*i**3/3 + 3362*i**2 + 174. Factor l(c).
4*c*(c + 41)**2
Let r(b) be the first derivative of b**5 + 15*b**4/4 + 10*b**3/3 + 31. Determine o so that r(o) = 0.
-2, -1, 0
Suppose r - 22 = -2*l - 6, 5*l = -2*r + 41. Suppose 246*f**2 - 67*f - l*f**3 - 132*f**3 - 89*f + 27*f**4 + 24 = 0. What is f?
2/9, 1, 2
Let q(k) be the second derivative of -k**8/4480 + k**7/560 - k**6/160 + k**5/80 - 8*k**4/3 + 31*k. Let i(a) be the third derivative of q(a). Factor i(w).
-3*(w - 1)**3/2
Let y(x) be the second derivative of x**5/140 - 5*x**4/42 - 11*x**3/42 + 4*x - 11. Factor y(c).
c*(c - 11)*(c + 1)/7
Let o(n) = 4*n**2 - 106*n + 701. Let f be o(12). Suppose -1 - 11/4*r**3 + 13/4*r**2 + f*r = 0. Calculate r.
-1, 2/11, 2
Let -36/7*u**2 - 232/7 - 1052/7*u = 0. What is u?
-29, -2/9
Let j = -5/24 - -1/4. Let v(i) be the third derivative of 0*i**3 - 7*i**2 - 1/60*i**5 + 0 + 0*i - j*i**4. Determine y, given that v(y) = 0.
-1, 0
Let u(g) be the second derivative of 5*g**8/1008 - g**7/63 + g**5/18 - 5*g**4/72 - 7*g**2 + 10*g. Let h(o) be the first derivative of u(o). Factor h(r).
5*r*(r - 1)**3*(r + 1)/3
What is i in 1/7*i**2 + 5/7 - 6/7*i = 0?
1, 5
Let l = -13155 + 223637/17. Find k, given that -14/17*k + l*k**3 - 8/17 - 4/17*k**2 = 0.
-1, 4
Suppose 4*a - 7 = 1, -4*g + a + 14 = 0. Factor 9*d**3 - 34*d + 34*d - d**3 + g*d**4.
4*d**3*(d + 2)
Let t(i) be the third derivative of 1/15*i**5 + 0*i + 1/2*i**3 + 0 - 13/24*i**4 - 9*i**2. Find q, given that t(q) = 0.
1/4, 3
Let s be (28/16)/(-7) - 322/(-8). Suppose 6*w + 28 = s. Solve -1/2*p**3 + 1/2 - 3/2*p + 3/2*p**w = 0.
1
Let j = 42 - 1007/24. Let k(u) be the third derivative of 0*u + 1/240*u**6 - 3*u**2 + 0*u**5 + j*u**3 - 1/48*u**4 + 0 - 1/840*u**7. Factor k(q).
-(q - 1)**3*(q + 1)/4
Let g = 11 - -3. Let f(u) = -2*u**4 + u**3 - 5*u**2 + 3*u + 3. Let a(q) = 10*q**4 - 6*q**3 + 24*q**2 - 14*q - 14. Let d(r) = g*f(r) + 3*a(r). Factor d(k).
2*k**2*(k - 1)**2
Suppose -64*s + 18*s - 30*s = 0. Let t(q) be the third derivative of -1/1155*q**7 + 0*q**3 + 1/110*q**6 + 2/33*q**4 - 2/55*q**5 + 0 + s*q + 5*q**2. Factor t(o).
-2*o*(o - 2)**3/11
Suppose -3*c - 3*h = -2*h + 90, 4*c + 120 = h. Let u be -2 - 22/(-4) - (c + 33). Factor 0*l**2 + 0 + 1/2*l**3 - u*l.
l*(l - 1)*(l + 1)/2
Let z(q) = -3*q**2 + 78*q + 81. Let u(x) = 2*x**2 - 80*x - 82. Let l(k) = -6*u(k) - 5*z(k). Factor l(w).
3*(w + 1)*(w + 29)
Let s(w) = w**4 - 17*w**2 - 3*w + 13. Let j(b) = -b**4 + b**2 - b - 1. Let q be (9/(-2))/((-33)/22). Let t(m) = q*j(m) - s(m). Suppose t(c) = 0. Calculate c.
-2, -1, 1, 2
Let i(m) = 2*m**4 + 30*m**3 + 22*m**2 - 3*m - 27. Let j(z) = 2*z**4 + 30*z**3 + 24*z**2 - 2*z - 18. Let l(q) = 2*i(q) - 3*j(q). Suppose l(x) = 0. Calculate x.
-14, -1, 0
Suppose -4*x - 2 = q - 2*q, -45 = -3*q - x. Solve 0*u + 477*u**2 - 2*u**3 - q*u + 6 - 467*u**2 = 0 for u.
1, 3
Let a(h) be the third derivative of 0 - 1/270*h**5 + 0*h + 0*h**4 + 11*h**2 + 1/540*h**6 + 0*h**3. Determine m, given that a(m) = 0.
0, 1
Let w(a) = -a**5 - 2*a**4 - a**2 + a. Let k(h) = -17*h**5 + 27*h**4 + 15*h**3 - 37*h**2 + 2*h + 4. Let l(r) = k(r) - 2*w(r). Suppose l(q) = 0. What is q?
-1, -1/3, 2/5, 1, 2
Let z(s) = -13*s**3 - 55*s**2 + 57*s + 11. Let w(c) = -7*c**3 - 28*c**2 + 29*c + 6. Let x(m) = -11*w(m) + 6*z(m). Let x(b) = 0. Calculate b.
-23, 0, 1
Let s be (-2)/6 + 7/21. Let t be (0 + 3)*3/12. Determine i, given that t*i**2 + 1/2*i + 1/4*i**3 + s = 0.
-2, -1, 0
Let u(w) be the second derivative of -17*w + 3/20*w**5 + 0*w**2 + 1/12*w**4 + 0*w**3 + 0. Suppose u(h) = 0. Calculate h.
-1/3, 0
Let c(u) be the first derivative of 2*u**3/9 - 473*u**2/9 + 628*u/9 + 740. Factor c(b).
2*(b - 157)*(3*b - 2)/9
Suppose 11/5*z**2 + 0 - 2/5*z + 21*z**3 = 0. Calculate z.
-1/5, 0, 2/21
Let g be 1/((-110)/102) + (90 - 89). Let f(h) be the first derivative of -g*h**5 + 3 + 0*h**4 - 1/33*h**6 + 4/33*h**3 + 0*h + 1/11*h**2. Factor f(y).
-2*y*(y - 1)*(y + 1)**3/11
Find i, given that 0*i**2 - 20/3*i + 5/3*i**3 + 0 = 0.
-2, 0, 2
Suppose -30 = -5*z + 5*t, -z + 2*t = 7*t. Suppose -z*p - q - 6 + 31 = 0, -4*p - 5*q = -41. Suppose p + 12 + 11 - 21*s + 3*s + 3*s**2 = 0. What is s?
3
Let t(m) = -9*m**3 + 4*m**2 + 7*m - 7. Let s(i) = 4*i**3 - 3*i**2 - 3*i + 3. Let l(w) = 7*s(w) + 3*t(w). Suppose l(c) = 0. Calculate c.
0, 9
Let n be ((-14)/(-91) + 19/(-39))*-8. Let a = n + -37/15. Solve a*u**2 + 3/5*u + 0 = 0 for u.
-3, 0
Let l(y) be the third derivative of -y**7/42 + 5*y**6/8 - 13*y**5/6 + 9*y**2 - 2. Factor l(h).
-5*h**2*(h - 13)*(h - 2)
Let c(j) be the second derivative of 3*j**5/40 + 11*j**4/8 + 5*j**3/2 + 7*j - 5. Find v, given that c(v) = 0.
-10, -1, 0
Let q(i) be the first derivative of i**6/33 + 18*i**5/55 + 25*i**4/22 + 18*i**3/11 + 10*i**2/11 + 474. Find n, given that q(n) = 0.
-5, -2, -1, 0
Let q = -23 + 23. Suppose -5*f - 28 = -g, q*f + 2*f + 10 = 0. Factor 2/3*j**2 + 0 - 4/9*j**g + 4/9*j.
-2*j*(j - 2)*(2*j + 1)/9
Let d = -174 + 282. Let c = -538/5 + d. What is x in 2/5*x**2 + c*x**4 - 6/5*x**3 + 6/5*x - 4/5 = 0?
-1, 1, 2
Suppose -s = -2*x - 325, 2*x + s + 480 = -x. Let i = -1769/11 - x. Factor -4/11*f**2 + 0 - i*f**4 + 0*f - 6/11*f**3.
-2*f**2*(f + 1)*(f + 2)/11
Let n be 24/3 - -1*3. Let h = 11 - n. Find b, given that 1/4*b**5 - b**2 + 0*b + 3/4*b**4 + h*b**3 + 0 = 0.
-2, 0, 1
Let t(p) be the second derivative of 14*p + 0*p**2 + 1/2*p**5 + 0 - 8/3*p**3 - 3*p**4. Solve t(k) = 0.
-2/5, 0, 4
Determine r so that -124/3*r - 28 - 4/3*r**3 - 44/3*r**2 = 0.
-7, -3, -1
Factor -43/3*b - 31/3*b**2 - 5/3*b**3 - 6 + 1/3*b**4.
(b - 9)*(b + 1)**2*(b + 2)/3
Let y(s) = 5*s + 36. Let n be y(-6). Let 10*l**2 + 5*l**3 - 3*l**5 - n + 7*l**3 - 4*l**2 - 9*l = 0. Calculate l.
-1, 1, 2
Let 33/5 + 36/5*g + 3/5*g**2 = 0. What is g?
-11, -1
Determine x so that -160/9*x**2 + 0 + 40/9*x**4 + 16/3*x**3 + 4/9*x**5 - 256/9*x = 0.
-8, -2, 0, 2
Let q(b) be the first derivative of b**6/60 + b**5/30 - b**4/3 - 4*b**3/3 + 8*b**2 - 4. Let n(y) be the second derivative of q(y). Factor n(g).
2*(g - 2)*(g + 1)*(g + 2)
Suppose 4*u + 3*q = -q + 24, -2*u - q = -8. Let l be (-10)/35 - 32/(-14). Let -8*t**2 - 2 + 3*t**3 + l*t**2 - 3*t**5 + 6*t**4 + u = 0. What is t?
-1, 0, 1, 2
Let u be (481 - 480) + 1*(-1)/(-3). Factor u*h**3 + 8/3*h**2 - 8/3 - 4/3*h.
4*(h - 1)*(h + 1)*(h + 2)/3
Let k(d) be the third derivative of -1/3*d**4 + 0*d**6 + 0*d**3 + 0*d + 2/105*d**7 + 6*d**2 + 0 - 1/5*d**5. Factor k(h).
4*h*(h - 2)*(h + 1)**2
Let h = 37345/3 + -12443. Solve -8*w - h*w**2 - 3 = 0 for w.
-3/4
Suppose 64 = 5*q + 14. Let p(z) = 12*z**3 + 22*z**2 + 8*z + 18. Let a(r) = -r**3 - r**2 + r - 1. Let o(x) = q*a(x) + p(x). Factor o(v).
2*(v + 1)**2*(v + 4)
Find f such that 4/13*f**3 - 18/13*f**2 - 10/13 + 24/13*f = 0.
1, 5/2
Suppose 0 = 3*c + 3*a - 8 - 13, 4*a - 24 = -2*c. Factor -10*x**c + 3 - 9/2*x**3 + 23/2*x.
-(x - 1)*(x + 3)*(9*x + 2)/2
Let b = 24898/15 + -213316/105. Let r = 373 + b. Factor 6/7 + r*v + 3/7*v**2.
3*(v + 1)*(v + 2)/7
Let o(q) be the third derivative of q**5/390 + 55*q**4/156 + 18*q**3/13 + 28*q**2. Let o(a) = 0. What is a?
-54, -1
Let z(l) be the second derivative of l**5/110 - 5*l**4/66 - 14*l**3/33 - 123*l. Factor z(b).
2*b*(b - 7)*(b + 2)/11
Let n(z) be the second derivative of -z**4/4 - 39*z**3 - 4563*z**2/2 - 34*z + 2. Factor n(y).
-3*(y + 39)**2
Let t(m) be the third derivative of -m**7/630 - m**6/360 + m**5/30 + m**4/18 - 4*m**3/9 + 3*m**2 - 6*m. Factor t(k).
-(k - 2)*(k - 1)*(k + 2)**2/3
Let w(f) be the first derivative of -f**4/18 + 8*f**3/9 + 5*f**2/3 - 52*f/9 - 220. Solve w(r) = 0 for r.
-2, 1, 13
Let d(c) be