 - 9/4*y**3 - 57/4*y**2 + 21/4*y**4 = 0?
-1, 1, 2, 6
Let b be ((-6)/28)/((-6)/28 - 2889/4494). Determine d so that -b*d**4 - 19/4*d**2 - 11/4*d**3 + 0 - 9/4*d = 0.
-9, -1, 0
Let u(j) be the second derivative of -j**6/120 + 3*j**5/40 + 47*j**4/48 + 7*j**3/2 + 11*j**2/2 + 2*j - 67. Suppose u(k) = 0. What is k?
-2, -1, 11
Find t, given that -4*t**5 - 2*t**3 + 0*t**5 + 6*t**4 - 822 + 822 = 0.
0, 1/2, 1
Suppose 2*v + v = 9. Suppose 0 = 2*q - 3*q + v*y, 0 = -3*q + 4*y + 5. Factor -l**q - l**2 + 4*l**2 - 5*l**2 + l**4.
l**2*(l - 2)*(l + 1)
Factor -1/5*n**2 + 9/5*n + 22/5.
-(n - 11)*(n + 2)/5
Let z(s) be the first derivative of s**3/15 + 2*s**2/5 + 3*s/5 - 30. Suppose z(h) = 0. What is h?
-3, -1
Let a = 265655/77 - 3450. Let s = 39/77 + a. Determine v, given that 0 - 2/7*v**4 - 4/7*v + s*v**3 + 2/7*v**2 = 0.
-1, 0, 1, 2
Let l = -57 - -61. Let p be (-12)/(-26) + -8*(-1)/l. What is n in 2/13*n**2 + p + 16/13*n = 0?
-4
Let y be 204/105 + 48/840. Factor -1/4*v**3 + 0 - 1/2*v - 3/4*v**y.
-v*(v + 1)*(v + 2)/4
Let r = 3149/9453 - -2/9453. Solve -1/9*f**2 + r - 2/9*f = 0.
-3, 1
Factor 0 - 8*u - 4/3*u**2.
-4*u*(u + 6)/3
Suppose 2*q + 1 + 57 = 0. Let x = 34 + q. Determine z so that 16*z**3 + 47*z**5 - 68*z**4 + 28*z**5 + 249*z**x - 76*z**4 = 0.
0, 2/9
Suppose -27 = 26*m - 85 + 6. Factor 3/4*x**m - 9/4*x + 3/2.
3*(x - 2)*(x - 1)/4
Let p(a) be the third derivative of -3*a**8/448 - 19*a**7/560 + 3*a**6/320 + 19*a**5/160 + 3*a**4/64 + 2*a**2 - 156. Suppose p(b) = 0. Calculate b.
-3, -1, -1/6, 0, 1
Factor -296*s - 5*s**2 - 3 - s**3 - 302*s + 591*s.
-(s + 1)**2*(s + 3)
Let h be (0/(-15))/(2 - (-1 - -4)). Factor 0*d**4 + h*d + 4/3*d**3 - 4/3*d**5 + 0 + 0*d**2.
-4*d**3*(d - 1)*(d + 1)/3
Let h(k) be the third derivative of k**8/1200 - k**7/2100 - 7*k**6/1800 + k**5/300 + 13*k**3/6 - 3*k**2. Let n(s) be the first derivative of h(s). Factor n(g).
g*(g - 1)*(g + 1)*(7*g - 2)/5
Let i(n) be the first derivative of 25/2*n**2 - 20/3*n**3 - 10*n - 18 + 5/4*n**4. Suppose i(p) = 0. Calculate p.
1, 2
Let y be (16/(-6) + 2)*3 + 4. Suppose 2*x + 0*x = -2*c + 6, y*c - 2*x = 6. What is t in 12/5*t**2 - 24/5*t + 16/5 - 2/5*t**c = 0?
2
Let k(g) be the second derivative of g**4/24 - g**3/2 + 2*g**2 - 39*g. Let k(h) = 0. Calculate h.
2, 4
Let b be 123/6 + 1/2. Let x = b + -14. Let 7*r**2 - 9*r**3 - x*r**2 + 3*r**4 + 12*r = 0. What is r?
-1, 0, 2
Let s be (-2)/19 + (-22940)/(-4218). Factor -4/3*y**3 - 20/3*y - s*y**2 - 8/3.
-4*(y + 1)**2*(y + 2)/3
Let c be (-2 + (-366)/(-195))/((-182)/1365). Factor -2*d + 10/13*d**2 + c.
2*(d - 2)*(5*d - 3)/13
Let x(j) be the second derivative of j**6/36 + j**5/6 + 25*j**4/72 + 5*j**3/18 - 5*j - 11. Suppose x(t) = 0. What is t?
-2, -1, 0
Let m be 6/10*((-35352)/(-972) + -36). Let 66250/9*y**4 - 154/9*y + m - 31250/9*y**5 + 4052/9*y**2 - 38900/9*y**3 = 0. Calculate y.
1/25, 1
Let q(c) be the first derivative of 2*c**3/27 - 73*c**2/9 + 16*c + 161. Factor q(r).
2*(r - 72)*(r - 1)/9
Let b(p) = -p**2 + 28*p - 184. Let c be b(16). Let v(q) be the first derivative of -2*q**3 + 0*q**2 + c + 3/5*q**5 + 0*q**4 + 3*q. Factor v(x).
3*(x - 1)**2*(x + 1)**2
Suppose 31 = 3*t - 5*y, 4 + 20 = 2*t - 4*y. Factor o**t + 0*o - 2*o**2 + 2*o**2 - o.
o*(o - 1)
Let a(v) be the second derivative of v**6/240 - 3*v**5/40 + 9*v**4/16 - 9*v**3/4 - 11*v**2/2 + 19*v. Let c(u) be the first derivative of a(u). Factor c(l).
(l - 3)**3/2
Let c(w) be the second derivative of w**6/30 + 31*w**5/20 + 47*w**4/2 + 322*w**3/3 + 196*w**2 + 605*w. Determine l, given that c(l) = 0.
-14, -2, -1
Let n(u) = 4*u**3 - 23*u**2 + 19*u - 11. Let v(a) = -2*a**3 + 12*a**2 - 10*a + 6. Let w = -112 - -101. Let c(q) = w*v(q) - 6*n(q). Let c(d) = 0. What is d?
0, 1, 2
Suppose 0 = 3*d - 31 + 7. Suppose d*u - u - 241 - 4*u**2 + 229 + 9*u = 0. Calculate u.
1, 3
Suppose -2 = v - 4. What is r in -r**2 - r**2 + 2*r**2 - r**v = 0?
0
Let n = 11323/88 - 993/8. Solve 0*v - n*v**5 - 16/11*v**2 - 8*v**3 - 140/11*v**4 + 0 = 0 for v.
-2, -2/5, 0
Let t be 2*(0 + -2) - 28. Let q = t + 35. Factor 2/5*b - 1/5*b**2 - 1/5*b**q + 0.
-b*(b - 1)*(b + 2)/5
Let w(t) = 225*t + 6755. Let l be w(-30). Suppose 3*z**2 - 6*z**3 - 3/2*z**l + 15/2*z + 3 - 6*z**4 = 0. What is z?
-2, -1, 1
Solve 1/3*p**3 + 7/3*p**2 + 1/6*p**5 - 5/6*p**4 - 1/2*p - 3/2 = 0 for p.
-1, 1, 3
Let u = 44305/7 - 6329. Suppose -4/7*m - u*m**2 - 2/7 = 0. What is m?
-1
Let q(l) be the third derivative of l**7/1365 + l**6/390 - l**5/390 - l**4/78 + 67*l**2. Factor q(x).
2*x*(x - 1)*(x + 1)*(x + 2)/13
Let w(o) = -2*o**2 - 19*o - 30. Let g be w(-7). Suppose -2*j + 3 = -g. Factor -h**2 - 1/2*h**3 + 3/4*h**j + 1/2*h + 1/4.
(h - 1)**2*(h + 1)*(3*h + 1)/4
Let r(p) be the first derivative of p**6/27 - 4*p**5/45 - 7*p**4/6 - 44*p**3/27 + 20*p**2/9 + 16*p/3 + 486. Let r(w) = 0. Calculate w.
-2, -1, 1, 6
Determine f, given that 0*f + 0 - 2/19*f**4 + 26/19*f**2 + 24/19*f**3 = 0.
-1, 0, 13
Let i(s) be the second derivative of 3*s**4/4 - 77*s**3/2 + 75*s**2 + s + 96. Factor i(o).
3*(o - 25)*(3*o - 2)
Factor 531*k**3 - k**5 - 268*k**3 + 5*k**4 - 272*k**3 + 7*k**2 - 2*k.
-k*(k - 2)*(k - 1)**3
Let v(y) be the third derivative of y**5/30 - 11*y**4/12 + 10*y**3/3 - 5*y**2 - 3*y. Factor v(a).
2*(a - 10)*(a - 1)
Let o be 1 + -3 + 7 + -4 + 2. Let g(j) be the second derivative of 0 + 1/2*j**2 + 1/12*j**4 - 5*j - 1/3*j**o. Solve g(a) = 0.
1
Let w be ((-2)/(-2) + 0)*(-87)/(-174). Let y(o) be the second derivative of 0 - 1/4*o**4 + o - 1/20*o**5 - 1/2*o**2 - w*o**3. Let y(d) = 0. What is d?
-1
Let b(v) be the first derivative of v**5/10 - 5*v**4/6 + v**3 + 9*v**2 - 8*v + 12. Let c(r) be the first derivative of b(r). Let c(f) = 0. Calculate f.
-1, 3
Let m be (-2 - 80/(-45)) + 7/54*21. Let x = 6/43 - -117/86. Factor -x*v**2 + 1 + m*v.
-(v - 2)*(3*v + 1)/2
Suppose -t + 3*t = 0. Suppose -18 = -4*o - 2*p, t*p - p + 15 = 5*o. Let 3*j - 2 - 3/2*j**o + 1/4*j**3 = 0. What is j?
2
Let m(n) be the first derivative of n**4/14 - n**2 + 12*n/7 + 1. Factor m(y).
2*(y - 2)*(y - 1)*(y + 3)/7
Let x(y) be the first derivative of -28 + 0*y + 28/27*y**3 - 1/3*y**4 - 4/9*y**2. Factor x(o).
-4*o*(o - 2)*(3*o - 1)/9
Let t(u) be the third derivative of u**5/210 - u**4/21 - 5*u**3/21 + 12*u**2 + 1. Suppose t(g) = 0. What is g?
-1, 5
Solve -359*v**2 - 243*v**4 + 64*v**3 + 1048*v**2 - 162*v**4 - 529*v**2 + 161*v**3 + 20*v = 0 for v.
-2/9, 0, 1
Let k(y) = 13*y**2 - 7*y - 2. Let p be k(1). Suppose 0*i + 1/3*i**2 + 0*i**3 - 1/6 - 1/6*i**p = 0. Calculate i.
-1, 1
Let j(b) be the third derivative of -b**6/900 - 2*b**5/225 - b**4/45 + 2*b**2 + 3. Factor j(q).
-2*q*(q + 2)**2/15
Let x(i) be the first derivative of i**6/30 - i**4/12 - 19*i - 19. Let b(l) be the first derivative of x(l). Factor b(o).
o**2*(o - 1)*(o + 1)
Let r(x) be the first derivative of -1/2*x + 3/8*x**2 - 1 - 1/12*x**3. Determine z, given that r(z) = 0.
1, 2
Suppose 4/3*i**4 + 0 + 0*i**2 + 0*i - 148/3*i**3 = 0. What is i?
0, 37
Factor 0 - u**3 - 11/7*u**2 + 6/7*u.
-u*(u + 2)*(7*u - 3)/7
Let n = -230/7 + 1387/42. Let i(l) be the second derivative of 0 + 0*l**2 + 0*l**4 - n*l**3 + 1/20*l**5 - l. Factor i(h).
h*(h - 1)*(h + 1)
Let t(z) = 2*z**2 + 9*z + 3. Let n be t(-6). Let j = n - 18. Factor -3 + 3*g**5 - 9*g - 8*g**3 + 9*g**4 + 14*g**j + 0 - 6*g**2.
3*(g - 1)*(g + 1)**4
Suppose 109 - 64 = 5*f. Suppose f = 44*i - 41*i. Factor -1/2*t**2 - 1/4*t**i + 0 + 0*t.
-t**2*(t + 2)/4
Factor -3*m**2 + 3*m**2 - 2*m**2 + 93*m - m**2.
-3*m*(m - 31)
Suppose -234*l = -236*l + 4. Determine t, given that 9*t**l - 18*t - 3/2*t**3 + 12 = 0.
2
Let y(k) = -3. Let s(t) = 5. Let j(c) = -2*s(c) - 3*y(c). Let z(w) = 5*w**2 - 35*w + 44. Let g(b) = 6*j(b) - z(b). Factor g(a).
-5*(a - 5)*(a - 2)
Suppose 5*b - 20 = -0*b. Let -73*k + 49*k + b*k**2 + 28 - 8*k**2 = 0. Calculate k.
-7, 1
Let s(p) be the first derivative of 2 + 1/5*p**3 + 3/10*p**4 + 0*p - 3/5*p**2 - 3/25*p**5. Find v such that s(v) = 0.
-1, 0, 1, 2
Let q(t) be the third derivative of -t**8/462 - 17*t**7/1155 - 2*t**6/165 + 23*t**5/330 + t**4/22 + 68*t**2. Find u such that q(u) = 0.
-3, -2, -1/4, 0, 1
Let u = -10 - -14. Factor 27 + 12*x + 30 - 49 + u*x**2.
4*(x + 1)*(x + 2)
Let h be (-228)/(-10) - (190 - 168). Suppose -4/5*m**2 + 4/5*m + h - 4/5*m**3 = 0. What is m?
-1, 1
Let n(r) be the third derivative of -r**7/70 + 13*r**6/40 + 9