*2 + 8*u - 9*u + 175 - 5*u**2 = 0. Calculate u.
-5, 7
What is d in -24/7*d**2 - 180/7*d - 400/7 - 1/7*d**3 = 0?
-10, -4
Let v(s) be the first derivative of 1/20*s**5 + 0*s**3 + 0*s**2 + s + 2 + 1/12*s**4. Let r(o) be the first derivative of v(o). Find c, given that r(c) = 0.
-1, 0
Let v = 33832/99 - 3074/9. Factor -6/11 + v*d**3 + 6/11*d**2 - 2/11*d.
2*(d - 1)*(d + 1)*(d + 3)/11
Find q such that -102/7*q - 26/7*q**2 - 72/7 + 2/7*q**4 + 6/7*q**3 = 0.
-3, -1, 4
Let u(i) = -i**3 - 11*i**2 - 11*i - 1. Let k be u(-10). Let r = k - 5. Determine y so that 2*y**4 - 6*y - 3*y**5 - 5*y**r + 9*y**3 + 3*y**2 + 0*y**2 = 0.
-2, -1, 0, 1
Suppose 3*c + 15 = 12. Let m be -2 + c - 87/27*-1. Determine x, given that -2/9*x + 2/9*x**3 + m*x**2 + 0 - 2/9*x**4 = 0.
-1, 0, 1
Let c(k) be the second derivative of 5*k**4/12 - 115*k**3/3 - 309*k. Factor c(m).
5*m*(m - 46)
Suppose 20*b - q = 18*b + 9, -2*b + 3 = q. Find x, given that 45/2*x + 40*x**2 + 15*x**4 + 35*x**b + 5/2*x**5 + 5 = 0.
-2, -1
Let f(b) be the third derivative of -b**6/30 - 2*b**5/15 - b**4/6 + b**2 - 29. Determine s so that f(s) = 0.
-1, 0
Determine j, given that 0 + 112/13*j**2 - 2*j**3 + 2/13*j**4 - 160/13*j = 0.
0, 4, 5
Let s(l) be the second derivative of 7/16*l**4 - 1/4*l**3 - 9/80*l**5 + 0*l**2 - 7/40*l**6 + 0 + 5/56*l**7 + 4*l. Suppose s(n) = 0. What is n?
-1, 0, 2/5, 1
Let x be 8 + 6 - (-36 + 50). Factor 0*l**2 + 2/21*l**5 + 2/21*l + 0 + x*l**4 - 4/21*l**3.
2*l*(l - 1)**2*(l + 1)**2/21
Determine w so that 2/9*w**5 - 14/3*w - 20/9 + 40/9*w**3 + 8/3*w**4 - 4/9*w**2 = 0.
-10, -1, 1
Let v(i) = -2*i**2 - 2*i + 3. Let k(d) = -3*d**2 - 3*d + 4. Let g = -3 + 0. Let n(q) = q + 14. Let s be n(-10). Let u(c) = g*k(c) + s*v(c). Factor u(r).
r*(r + 1)
Let h(j) = 3*j - 5. Let o be h(9). Let l = o - 18. Factor -1/2*z - 5/4*z**2 - z**3 + 0 - 1/4*z**l.
-z*(z + 1)**2*(z + 2)/4
Determine c so that 0 + 2/7*c**4 - 16/7*c**2 + 0*c + 2*c**3 = 0.
-8, 0, 1
Let v(c) be the second derivative of -c**5/270 - 2*c**4/27 - 16*c**3/27 - 6*c**2 + 3*c. Let x(k) be the first derivative of v(k). Factor x(j).
-2*(j + 4)**2/9
Factor -2/3*r**4 - 4*r**3 + 0*r**2 + 64/3*r + 0.
-2*r*(r - 2)*(r + 4)**2/3
Let c(o) be the third derivative of o**8/168 + 19*o**7/105 - o**6/60 - 19*o**5/30 - 18*o**2. What is n in c(n) = 0?
-19, -1, 0, 1
Suppose -2 = 2*l + 4. Let w be (-280)/(-24) + (-1)/l. Determine k so that -7*k + k + 2*k + 16 + 4*k**2 - w*k = 0.
2
Let q(z) be the third derivative of 8/195*z**6 + 0*z + 4/13*z**4 + 0 + 28/195*z**5 + 35*z**2 + 16/39*z**3 + 3/455*z**7 + 1/2184*z**8. Let q(d) = 0. Calculate d.
-2, -1
What is y in 0*y - 36/11 + 1/11*y**2 = 0?
-6, 6
Suppose 156*d - 160*d = -8. What is o in 6/7 - 2/7*o**d + 4/7*o = 0?
-1, 3
Let t(c) be the third derivative of -12*c**2 - 2/45*c**5 + 1/108*c**6 + 1/27*c**4 + 0*c + 0*c**3 + 0. Factor t(m).
2*m*(m - 2)*(5*m - 2)/9
Let s be 25/(-40)*(-4)/(-3)*2. Let l = s + 31/15. Factor -1/5*w**2 + 0*w - l*w**3 + 0 - 1/5*w**4.
-w**2*(w + 1)**2/5
Let d = -2/1471 - -2952/7355. Let m(w) be the first derivative of -4/15*w**3 + 7 - 1/5*w**4 + 1/5*w**2 + d*w + 1/15*w**6 + 2/25*w**5. Factor m(i).
2*(i - 1)**2*(i + 1)**3/5
Let a(n) = -4*n**3 + 10*n**2 - 6*n - 15. Let k(z) = z**3 + z**2 + z. Let y(b) = a(b) + 5*k(b). Determine c so that y(c) = 0.
-15, -1, 1
Let t be 15/(-20)*(-16)/6. Factor -23*b**3 + 100*b**t - 19*b - 21*b - 67*b**3 - 2*b**5 + 35*b**4 - 3*b**5.
-5*b*(b - 2)**3*(b - 1)
Let x = 89 - 86. Let w(i) be the first derivative of i**2 - 5 - 4/3*i**x - 1/4*i. Let w(l) = 0. What is l?
1/4
Let l = -1945/4 + 1951/4. Suppose 3/4*g**4 - l*g - 3*g**2 + 3/2*g**3 + 9/4 = 0. Calculate g.
-3, -1, 1
Suppose 2/3*h**5 - 2/3*h**4 + 0*h - 2/3*h**3 + 2/3*h**2 + 0 = 0. Calculate h.
-1, 0, 1
Let v = 15677/15 + -1045. Suppose 2/15*h**4 + 4/15*h**3 + v*h**2 + 0*h + 0 = 0. What is h?
-1, 0
Factor -746602082/7 - 2634592239/7*r - 75429184/7*r**2 - 812594/7*r**3 - 3894/7*r**4 - r**5.
-(r + 139)**4*(7*r + 2)/7
Factor 0 - 16/3*s**2 - 2/9*s**5 - 16/9*s**4 - 2*s - 44/9*s**3.
-2*s*(s + 1)**2*(s + 3)**2/9
Let f(x) be the second derivative of x**7/42 - x**6/12 + x**5/12 - 3*x**2/2 - 11*x. Let i(q) be the first derivative of f(q). Factor i(w).
5*w**2*(w - 1)**2
Let l = -14141/6 - -2357. Let 2/3*z - l*z**3 + 0 + 0*z**2 = 0. What is z?
-2, 0, 2
Let m(f) be the first derivative of -f**6/30 + 9*f**5/20 - 9*f**4/4 + 9*f**3/2 - 35*f + 16. Let t(o) be the first derivative of m(o). Factor t(l).
-l*(l - 3)**3
Let k(r) = -r**4 - r**3 + r**2 - 1. Let c(p) = -5*p**4 - 4*p**3 + 7*p**2 - 2*p - 4. Let q(t) = c(t) - 4*k(t). What is n in q(n) = 0?
-2, 0, 1
Let z(g) be the second derivative of 1/2*g**3 + 0*g**2 - 1/4*g**4 + 4*g + 0 - 1/540*g**6 + 1/30*g**5. Let l(p) be the second derivative of z(p). Factor l(a).
-2*(a - 3)**2/3
Factor 1/3*l**5 - 49/3*l + 14/3*l**4 + 0 + 16*l**3 - 14/3*l**2.
l*(l - 1)*(l + 1)*(l + 7)**2/3
Let n be (1 - 1)*(-5)/30. Let u(z) be the first derivative of -2/25*z**5 - 3 - 3/10*z**4 + n*z + 4/5*z**2 + 0*z**3. Factor u(w).
-2*w*(w - 1)*(w + 2)**2/5
Let n(z) = 5*z - 15. Let k = 133 - 129. Let j be n(k). Factor 1/5 + 2/5*f**3 - 3/5*f + 2/5*f**2 + 1/5*f**j - 3/5*f**4.
(f - 1)**4*(f + 1)/5
Let q = 90637/6 + -15106. Suppose -1/3*p - 1/2 + q*p**2 = 0. Calculate p.
-1, 3
Let j(q) be the second derivative of 9*q**4/2 + 28*q**3/3 + q**2 + 14*q - 1. Factor j(b).
2*(b + 1)*(27*b + 1)
Let v(b) be the first derivative of -4*b**5/5 + 8*b**4 + 12*b**3 - 14. Suppose v(t) = 0. What is t?
-1, 0, 9
Let -425*x**3 + 825*x**3 - 418*x**3 - 2*x**4 + 40*x + 2*x**5 + 2*x**2 + 24 = 0. What is x?
-2, -1, 2, 3
Let m(y) = -5*y**4 - 66*y**3 - 120*y**2 + 202*y - 22. Let a(p) = p**4 + 13*p**3 + 24*p**2 - 40*p + 4. Let v(d) = -33*a(d) - 6*m(d). Factor v(g).
-3*g*(g - 1)*(g + 6)**2
Let m = 9790 + -48946/5. What is f in 0*f**2 - 2/5*f**3 + 6/5*f - m = 0?
-2, 1
Suppose -50 = 4*b + 50. Let a be 5/b + 26/5. Solve 0*h - 2/9*h**3 + 0 + 0*h**4 + 2/9*h**a + 0*h**2 = 0 for h.
-1, 0, 1
Let s(v) be the third derivative of 0*v**4 + 1/420*v**7 + 0 - 1/120*v**5 + 0*v + 0*v**6 + 0*v**3 - 9*v**2. Factor s(l).
l**2*(l - 1)*(l + 1)/2
Suppose -320*l + 18 = -314*l. Factor 2/9*w**l + 4/9 - 4/9*w**2 - 2/9*w.
2*(w - 2)*(w - 1)*(w + 1)/9
Let p be (690/(-14))/((-33)/220). Let v = p - 328. Let 6/7*h + 2/7*h**2 + v = 0. Calculate h.
-2, -1
Let g(f) be the third derivative of -1/240*f**5 + 1/96*f**4 + 0*f + 0 + 1/840*f**7 - 1/480*f**6 - 2*f**2 + 0*f**3. Factor g(u).
u*(u - 1)**2*(u + 1)/4
Let m = 9 + -4. Let x(u) = -u**2 + 7*u - 6. Let z be x(m). Suppose o + 0*o**5 + 3*o**2 - 2*o**2 - 5*o**3 + 4*o**5 + 2*o**2 - 3*o**z = 0. Calculate o.
-1, -1/4, 0, 1
Let o(v) be the third derivative of v**5/15 + 83*v**4/6 - 371*v**2. Factor o(n).
4*n*(n + 83)
Let r(o) be the third derivative of 0*o + 0 - 1/140*o**5 + 1/56*o**4 - 15*o**2 + 1/7*o**3. Factor r(p).
-3*(p - 2)*(p + 1)/7
Let x(t) = -20*t**2 - 64*t - 80. Let y(d) = -d**2 - d. Let n(m) = x(m) - 16*y(m). Determine q so that n(q) = 0.
-10, -2
Let g(t) be the first derivative of 15 + 3/2*t**2 - t**3 + 3*t - 3/4*t**4. Let g(w) = 0. What is w?
-1, 1
Let w(u) be the first derivative of 4*u**6/39 - 3*u**4/26 - 2*u**3/39 + 388. Find p, given that w(p) = 0.
-1/2, 0, 1
Let u = 1692 - 1688. Let w(x) be the second derivative of 2*x + 1/378*x**7 + 0 - 1/270*x**6 + 0*x**5 + 0*x**3 + 0*x**u + 0*x**2. What is b in w(b) = 0?
0, 1
Let d = 952 - 95199/100. Let n(j) be the second derivative of 1/5*j**2 - 1/10*j**3 + 1/50*j**6 + 0 - d*j**5 - 5*j - 3/20*j**4. Factor n(m).
(m - 2)*(m + 1)**2*(3*m - 1)/5
Let d(u) be the third derivative of 0*u - 6*u**3 - 7*u**4 - 15*u**2 + 0 - 49/15*u**5. What is m in d(m) = 0?
-3/7
Let a = 3986 - 3982. Determine n so that 0*n**3 + 4/15*n**2 - 2/15 - 2/15*n**a + 0*n = 0.
-1, 1
Solve -84*j + 160*j - 80*j - j**2 = 0.
-4, 0
Let i(s) be the third derivative of s**6/240 - 77*s**5/360 + 47*s**4/36 - 23*s**3/9 - 535*s**2 + 1. Suppose i(z) = 0. What is z?
2/3, 2, 23
Suppose -127 = -2*d - 121. Let i(j) be the third derivative of 1/30*j**5 - 1/20*j**4 - d*j**2 - 1/525*j**7 + 0*j + 0 - 1/300*j**6 + 0*j**3. Factor i(s).
-2*s*(s - 1)**2*(s + 3)/5
Let i(y) be the third derivative of -y**8/840 + y**6/150 - y**4/60 + 10*y**2 + 2*y. Suppose i(c) = 0. What is c?
-1, 0, 1
Let o = 711/1210 + 3/242. Let l(j) be the first derivative of 4/25*j**5 + 5 + 2/