0 - a**8/7560 + a**7/11340 + a**6/1620 - 5*a**4/4 + a. Let b(y) be the third derivative of x(y). Factor b(m).
-2*m*(m + 1)**2*(3*m - 2)/9
Let y be 3/(-2) - 3/(-4)*28/14. Factor 4/3*w**4 + y - 8*w + 4/3*w**2 + 16/3*w**3.
4*w*(w - 1)*(w + 2)*(w + 3)/3
Find z such that 2/5*z**3 - 54/5*z**2 - 176/5*z - 24 = 0.
-2, -1, 30
Solve -16*k**4 - 116*k**3 + 31*k**4 - 13*k**4 - 134*k**2 - 16*k**4 - 66*k**2 - 48*k = 0.
-6, -2, -2/7, 0
Determine g so that 65/6*g**2 + 10/3*g**3 - 10 - 5/6*g**4 - 10/3*g = 0.
-2, -1, 1, 6
Let w be 1 + 126/(-29) + 5 + -2. Let a = -1/87 - w. Suppose 2/3 - 1/3*l - a*l**2 = 0. What is l?
-2, 1
Factor -3 + 11/4*i + 1/4*i**2.
(i - 1)*(i + 12)/4
Let u(j) = -6*j**2 + 114*j - 220. Let q(n) = -2*n**2 + 38*n - 73. Let s(x) = 16*q(x) - 5*u(x). Factor s(l).
-2*(l - 17)*(l - 2)
Let n(t) = t**3 - t + 1. Let v(g) = g**4 - 9*g**3 + 12*g**2 - 7*g. Let c(y) = y**3 + 5*y**2 + 4*y + 3. Let b be c(-4). Let h(k) = b*n(k) + v(k). Factor h(r).
(r - 3)*(r - 1)**3
Suppose 5*w + w - 96 = 0. Suppose -w = 5*s - 26. Solve 0*q + 3/4*q**3 - 9/4*q**s + 0 = 0.
0, 3
Let b(j) be the second derivative of 1/21*j**7 - 13*j - 1/15*j**6 + 1/6*j**4 + 0 - 1/10*j**5 + 0*j**3 + 0*j**2. Find o such that b(o) = 0.
-1, 0, 1
Let g(b) = -6*b**4 + 6*b**3 - 6*b**2 - 19*b + 10. Let l(c) = -c**4 - 2*c**2 + c + 2. Let v(p) = -3*g(p) + 15*l(p). Solve v(q) = 0.
-2, 0, 2, 6
Let v(q) = -10*q + 41. Let f be v(3). Let h be 0*(44/(-8))/f. Determine t, given that 8/5*t + 2/5*t**3 + h - 8/5*t**2 = 0.
0, 2
Suppose 2*j + 67*d = 63*d + 24, 2*j = d - 1. Let m be 10*((-56)/30 + 2). Suppose -2/3*v**j + 0*v - m*v**3 + 0 - 2/3*v**4 = 0. What is v?
-1, 0
Let v(h) be the second derivative of -147/160*h**5 + 5*h - 9/16*h**3 + 0 + 0*h**2 - 21/16*h**4. Factor v(s).
-3*s*(7*s + 3)**2/8
Let h(r) be the third derivative of -1/600*r**6 - r**2 + 3/5*r**3 + 1/40*r**4 - 1/75*r**5 + 0*r + 0. Suppose h(i) = 0. What is i?
-3, 2
Suppose 4*s = y + 1 - 8, 0 = -3*y + 4*s + 5. Let t(d) = d**3 - 4*d**2 - 5*d. Let m be t(y). Factor -2/5*q + 4/5*q**3 - 2/5*q**5 + 0*q**4 + m*q**2 + 0.
-2*q*(q - 1)**2*(q + 1)**2/5
Let w be 6/(-21) - (-783)/21. Suppose h + 5*q - 12 = q, 4*h + 5*q - w = 0. Solve h*a**3 + 4*a**3 - a**2 - 16*a**3 + 4*a**5 + a**4 = 0.
-1, -1/4, 0, 1
Let h = -1 - -4. Let d = 15 + -13. Factor -d*n - 3*n + h*n**2 + 5 - 3.
(n - 1)*(3*n - 2)
Let y(f) be the third derivative of -f**8/168 - f**7/21 + f**6/30 + 7*f**5/5 + 21*f**4/4 + 9*f**3 + 31*f**2 - 2. Solve y(r) = 0 for r.
-3, -1, 3
Suppose -1009*y**3 + 1003*y**3 - 42*y - 7*y**2 + 15 + 43*y**2 + y**4 - 4*y**4 = 0. Calculate y.
-5, 1
Suppose -4*m = -j + 33, 2*m + 2*m = 0. Suppose 27 - 131*v**3 - 5*v**2 - 57*v + 17*v + j + 136*v**3 = 0. Calculate v.
-3, 2
Suppose -5*t + 10 = -0*t. Factor -j + 2 - 7*j + j - 4*j**t.
-(j + 2)*(4*j - 1)
Let p(v) be the third derivative of 5*v**8/2688 + v**7/140 + v**6/240 - v**5/48 - 3*v**4/64 - v**3/24 - 75*v**2. Suppose p(n) = 0. Calculate n.
-1, -2/5, 1
Suppose -4 - 1/3*u**4 + u**2 - 2*u**3 + 16/3*u = 0. What is u?
-6, -2, 1
Let o(h) be the first derivative of h**7/294 - h**6/70 + h**5/70 - 4*h - 1. Let j(y) be the first derivative of o(y). Suppose j(m) = 0. What is m?
0, 1, 2
Let 3 + 7/4*o**2 + 4*o + 1/4*o**3 = 0. What is o?
-3, -2
Let m(c) be the first derivative of 18 - 2*c**2 - 4*c + 2*c**4 - 2/3*c**6 - 4/5*c**5 + 8/3*c**3. Suppose m(a) = 0. Calculate a.
-1, 1
Let v = 1713 + -1710. Factor 24/17 - 32/17*k + 14/17*k**2 - 2/17*k**v.
-2*(k - 3)*(k - 2)**2/17
Let l(x) be the third derivative of x**7/1575 - 7*x**6/900 + 8*x**5/225 - x**4/15 - 48*x**2 + 1. Factor l(u).
2*u*(u - 3)*(u - 2)**2/15
Let l(f) be the first derivative of 7*f**4/22 - 64*f**3/33 - 15*f**2/11 + 191. Factor l(s).
2*s*(s - 5)*(7*s + 3)/11
Let k(f) be the third derivative of f**7/168 - 11*f**6/96 - 13*f**5/48 + 55*f**4/96 + 5*f**3/2 + 67*f**2. Find c, given that k(c) = 0.
-1, 1, 12
Let q(r) be the third derivative of 0*r**3 + 1/40*r**6 + 0 + 1/2*r**4 + 1/5*r**5 + 0*r - 5*r**2. Factor q(g).
3*g*(g + 2)**2
Let v(d) be the first derivative of -d**3/8 - 105*d**2/16 - 51*d/4 + 15. Factor v(w).
-3*(w + 1)*(w + 34)/8
Let k(j) be the third derivative of -j**10/113400 - j**9/45360 + 7*j**5/20 + 2*j**2. Let m(w) be the third derivative of k(w). Find s such that m(s) = 0.
-1, 0
What is x in -28*x + 94*x**2 + 175*x**3 - 16 + 75/2*x**4 = 0?
-4, -2/3, -2/5, 2/5
Let o(l) be the third derivative of 0*l**4 + 0*l**3 + 1/280*l**6 + 0*l + 0 + 1/70*l**5 + l**2. Factor o(j).
3*j**2*(j + 2)/7
Let k be ((8/30)/(-2))/(204/(-255)). Solve 0 + 1/6*w**3 + k*w - 1/3*w**2 = 0.
0, 1
Suppose 0 = -l + 74 - 72. Suppose -2*v - 3*x = -0*v - 2, x + l = 0. Let -1/3*q**v + 1/3*q**3 - 1/3*q + 0 + 1/3*q**2 = 0. What is q?
-1, 0, 1
Let m = -23 + 25. What is z in 20*z**m - 5*z**3 - 5*z - 6*z - 8*z - z = 0?
0, 2
Let t be 2*(1 + 0)*1. Let d = 16697/4 - 4174. What is u in 3/4*u**t + u**3 + d*u**4 - u - 1 = 0?
-2, -1, 1
Find f, given that -29/3*f - 1/6*f**3 + 59/6*f**2 + 0 = 0.
0, 1, 58
Let q(v) be the first derivative of -v**3/18 - 5*v**2/12 - 2*v/3 - 40. Factor q(f).
-(f + 1)*(f + 4)/6
Let n = -46 + 126. Suppose -r = 2*b - 0 - 29, 4*b + n = 4*r. Factor -23 + r - t**4 + t**2.
-t**2*(t - 1)*(t + 1)
Suppose 5 = x - r + 22, 0 = r + 5. Let h = x + 42. Solve -9 - 21*k + 56*k + 9 + 10 - h*k**2 = 0.
-1/4, 2
Let a(h) be the third derivative of h**7/105 + h**6/24 - h**5/12 - 5*h**4/24 + h**3/2 + 8*h**2. Let a(d) = 0. What is d?
-3, -1, 1/2, 1
Let m = 3169/24 + -1035/8. Suppose 4/3*v - m + 4/3*v**2 = 0. Calculate v.
-2, 1
Solve 46*h - 3215*h**3 + 3220*h**3 - 25*h**2 - 20 - 6*h = 0.
1, 2
Let n(q) be the third derivative of q**6/1620 + q**5/540 - q**4/54 - 31*q**3/6 + 21*q**2. Let u(z) be the first derivative of n(z). Factor u(j).
2*(j - 1)*(j + 2)/9
Let n(s) = -s**2 + 9*s + 2. Let o be n(9). Let -23*g**3 - 1 + 3*g**3 + 17 - 5*g**4 + g**4 + 32*g + 4*g**o + 4*g**5 = 0. What is g?
-1, 2
Find s such that -9/4*s**2 + 1/4*s**3 + 9/4 - 1/4*s = 0.
-1, 1, 9
Let u(s) be the first derivative of 46*s**3/3 - 17*s**2 - 12*s - 761. Factor u(f).
2*(f - 1)*(23*f + 6)
Let q be -6*4/6 + 1. Let f be ((-1)/(-6))/(4 + q)*2. Suppose -f*w - 2/3 + 1/3*w**2 = 0. What is w?
-1, 2
Let x(f) be the third derivative of 10*f**2 - 1/1176*f**8 - 1/84*f**4 + 0 - 1/70*f**6 + 2/105*f**5 + 0*f**3 + 4/735*f**7 + 0*f. Suppose x(j) = 0. What is j?
0, 1
Suppose -5 + 20 = 5*w. Let m be 0/1 + -1 + w. Factor 22*v - 6*v**2 - 24*v**m + 30*v**3 - 7*v + 3*v**5 - 3 - 15*v**4.
3*(v - 1)**5
Let z(y) be the first derivative of 1/10*y**2 + 3/5*y - 1/20*y**4 + 7 - 1/5*y**3. Suppose z(g) = 0. Calculate g.
-3, -1, 1
Let f(g) = g**2 + 1. Let x(h) = -265 + 15*h + 41*h - 2*h**2 + 455. Let b(m) = 6*f(m) + x(m). Factor b(c).
4*(c + 7)**2
Factor -1/2*j**2 + 22*j - 242.
-(j - 22)**2/2
Let o(s) = -s**5 + 3*s**4 + 4*s**3 + 5*s + 5. Let u = 104 + -98. Let k(j) = -j**5 + 4*j**4 + 5*j**3 + 6*j + 6. Let n(i) = u*o(i) - 5*k(i). Factor n(v).
-v**3*(v + 1)**2
Factor -235/3*m**2 + 65/3*m**3 + 175/3*m + 0 - 5/3*m**4.
-5*m*(m - 7)*(m - 5)*(m - 1)/3
Let m = 18327 - 14276735/779. Let b = 7007/1558 - m. Solve 1/2*o**2 - 3*o + b = 0 for o.
3
Let o(k) be the first derivative of 2*k**5/15 - 2*k**4/3 + 4*k**3/3 - 4*k**2/3 + 2*k/3 + 226. Factor o(s).
2*(s - 1)**4/3
Let x(n) = -n**3 + 8*n**2 - 6*n - 8. Let p be x(7). Let g = p + 5. Factor -2*j**2 - 2*j + j**2 + g*j + 0*j**2.
-j*(j - 2)
Let t be ((-9)/(-12))/((-9)/(-36)). Suppose 4*g = -4*u - 4, -t*g - 2*g = 4*u + 4. Factor 0*j**2 - 1/6*j**3 + g*j + 0 - 1/6*j**4.
-j**3*(j + 1)/6
Suppose -210*h + 80*h = 14*h + 172*h. Factor -1/5*g**2 + h + 6/5*g.
-g*(g - 6)/5
Suppose -2/3*b**3 + 34*b**2 + 106/3 + 70*b = 0. Calculate b.
-1, 53
What is r in -5/6*r - 4 + 1/6*r**2 = 0?
-3, 8
Let a(m) be the third derivative of -m**5/110 + 13*m**4/22 - 25*m**3/11 - 6*m**2 + 6. Factor a(j).
-6*(j - 25)*(j - 1)/11
Let z(t) be the third derivative of -t**6/48 + 47*t**5/4 - 11045*t**4/4 + 1038230*t**3/3 - 44*t**2. Factor z(g).
-5*(g - 94)**3/2
Suppose 14*p - 15*p + 4 = 0. Suppose -5*q + 27 = 5*k - 3*k, -18 = -p*k + 2*q. Solve 8*b - 2*b**3 - 4*b**2 + 0*b**3 - 8 + k*b**2 = 0 for b.
-2, 1, 2
Let n = -32/7 + 647/140. Let r(d) be the third derivative of -3/32*d**4 - d**2 + 0 + 1/12*d**3 + 0*d - 1/96*d**6 + n*d**5. Factor r(l).
-(l - 1)**2*(5*l - 2)/4
Determine c, given that 3/2*c**3 + 9*