168 - 4*p**3 + 21. Let v(s) be the third derivative of c(s). Factor v(g).
-5*g**3*(g + 1)**2
Let k(l) be the first derivative of 2*l**3/27 + 16*l**2/3 + 128*l + 172. Factor k(d).
2*(d + 24)**2/9
Suppose 3*i + 7 = -2*l + 18, 0 = -2*i - 2. Let r = 10 - l. Find v such that r - 3*v**3 + 9*v - 6*v**3 + 9*v**2 + 12*v**3 = 0.
-1
Let l = -2/5 - -33/20. Let z(m) be the second derivative of 1/4*m**4 - 9/4*m**2 + 3*m - 9/20*m**5 + 1/28*m**7 + 0 + l*m**3 + 1/20*m**6. Factor z(w).
3*(w - 1)**3*(w + 1)*(w + 3)/2
Suppose -151 + 214 = 9*f. Let b(r) be the second derivative of -3*r**4 + 0*r**2 + 6/5*r**6 + 2*r**3 + 4*r + 3/4*r**5 - 9/14*r**f + 0. Let b(d) = 0. Calculate d.
-1, 0, 2/3, 1
Factor 16*r**3 - 13*r**2 + 71*r - 38*r - 5*r**4 - 31*r.
-r*(r - 2)*(r - 1)*(5*r - 1)
Let h = -63157/15 + 4214. Let k = h - 17/15. Let 3/5 + k*f**2 + 1/5*f**4 - 6/5*f**3 - 2*f = 0. Calculate f.
1, 3
Let q(p) be the third derivative of 0*p - 1/75*p**5 + 27*p**2 + 0 - 11/30*p**4 + 0*p**3. Determine v so that q(v) = 0.
-11, 0
Let a(p) be the second derivative of -p**4/60 + 11*p**3/5 - 1089*p**2/10 - 14*p - 5. Determine q so that a(q) = 0.
33
Let z = 3/1501 + -274689/3002. Let f = z + 92. Factor f + 1/4*d - 1/4*d**2.
-(d - 2)*(d + 1)/4
Let n(z) be the third derivative of -z**8/280 + 29*z**7/1050 - 17*z**6/200 + 41*z**5/300 - z**4/8 + z**3/15 - 258*z**2. What is l in n(l) = 0?
1/3, 1/2, 1, 2
Suppose 0 = 77*g - 546 + 161. Factor 0*b + 3/4*b**g - 3*b**2 + 0 - 21/4*b**3 - 3/2*b**4.
3*b**2*(b - 4)*(b + 1)**2/4
Let y = -4/79 - -423/553. Let n = 27/28 - y. Factor -1/4*b**4 + 1/4*b**2 - n*b**3 + 1/4*b + 0.
-b*(b - 1)*(b + 1)**2/4
Factor 25*s**4 - s**2 + 11*s**2 + 284*s**3 - 319*s**3.
5*s**2*(s - 1)*(5*s - 2)
Let u = -319 + 5425/17. Solve u*f**3 - 4/17 + 0*f**2 - 6/17*f = 0.
-1, 2
Let b(q) be the first derivative of 20*q**3/3 - 48*q + 1. Let m(w) = 13*w**2 - 32. Let p(n) = 5*b(n) - 8*m(n). Factor p(v).
-4*(v - 2)*(v + 2)
Let m(j) = 4 - j - 2 + 4 + 8. Let i be m(10). Let -i*n**4 - 4*n**2 - 2*n**2 + 7*n**4 + 319*n**3 - 316*n**3 = 0. What is n?
-2, 0, 1
Let o(d) = 31*d - 3. Let n be o(1). Let w be (-12)/14*n/(-6). Factor -p**3 - 9*p**2 - 9*p + 7*p - w*p - 2*p**3.
-3*p*(p + 1)*(p + 2)
Factor 2*j**2 + 1180*j - 77125 - 7*j**2 + 7505.
-5*(j - 118)**2
Find o such that 66 - 483/2*o**2 - 27*o**4 - 72*o + 639/2*o**3 = 0.
-1/2, 2/3, 11
Let r be ((-24)/10)/(4/(-10)). Suppose 11*d - r*d - 250 = 0. Let -84*s - 2 - 12*s**3 - 16 - d*s**2 + 4*s**3 = 0. Calculate s.
-3, -1/4
Let 25/4*j - 1/4*j**2 - 23/2 = 0. Calculate j.
2, 23
Suppose -11*k + 25*k = 0. Suppose 2*j = y + 1, 4*y - j - j - 8 = k. Factor 2*w**2 + 2/5*w**y + 14/5*w + 6/5.
2*(w + 1)**2*(w + 3)/5
Let f(x) be the third derivative of x**9/90720 + x**8/4320 + 49*x**5/60 + 22*x**2. Let n(g) be the third derivative of f(g). Determine c, given that n(c) = 0.
-7, 0
Let x(j) be the first derivative of 2*j**5/5 + j**4 - 8*j**3 - 40*j**2 - 64*j + 255. Determine q so that x(q) = 0.
-2, 4
Let g be (-1)/(-24)*-3*-2. Suppose 0*d - 1/4*d**5 + g*d**2 - 1/4*d**4 + 0 + 1/4*d**3 = 0. What is d?
-1, 0, 1
Suppose 14*f - 35 - 91 = 0. Let r be (52/12 - 4)*f. Factor 0 - 9/2*j**r - 3/2*j**2 + 0*j.
-3*j**2*(3*j + 1)/2
Determine u, given that -2 - 680*u + 2*u**2 + 680*u = 0.
-1, 1
Suppose b + 5*h + 22 = -0*b, -5*b = h - 10. Factor -8/5*c**2 + 3/5*c**b + 7/5*c - 2/5.
(c - 1)**2*(3*c - 2)/5
Let q(k) be the third derivative of -k**8/1512 + k**7/189 + k**6/540 - k**5/54 - 2*k**2 - 147*k. What is n in q(n) = 0?
-1, 0, 1, 5
Suppose 0 = -6*b + b + 5*f + 10, -3*b = 3*f - 6. Suppose 0 = 2*t + b*t - 36. Factor -5 - 1 - 3*x**3 - t*x**2 + 0*x**3 + 15*x + 3*x**4.
3*(x - 1)**3*(x + 2)
Suppose -4*p - 31 = -o, -5*p = 5*o - 0*o + 45. Let f = p - -12. Determine h so that 0*h**4 - 5 + 10*h**2 - 2*h**4 - 3*h**f = 0.
-1, 1
Let a(x) be the second derivative of -x**9/1512 - x**8/192 - x**7/168 - x**4 - 3*x. Let b(t) be the third derivative of a(t). Factor b(u).
-5*u**2*(u + 3)*(2*u + 1)
Find n, given that 2/3 - 29/3*n - 31/3*n**2 = 0.
-1, 2/31
Let y be 14/42 + (-178)/(-6). Suppose -15*b**3 + 75*b**2 + 72*b**2 - 5*b**4 + 55*b - 132*b**2 + y = 0. What is b?
-3, -1, 2
What is f in 460/7*f**4 + 4/7*f**5 + 2438900/7*f + 370040/7*f**2 + 19720/7*f**3 - 2829124/7 = 0?
-29, 1
Let f(p) be the first derivative of -2209*p**3/3 - 94*p**2 - 4*p + 329. Suppose f(y) = 0. What is y?
-2/47
Suppose 3*k + 90 = -0*k. Let c = -27 - k. Suppose -4*d**4 + 3*d**3 + 7*d**4 + 9*d**2 + 6*d**3 + c*d = 0. Calculate d.
-1, 0
Let y(x) be the second derivative of x**4/4 + 17*x**3/2 + 63*x**2 + 270*x + 1. Find a such that y(a) = 0.
-14, -3
Find c such that -c**2 - 93*c + 299*c + 3*c**2 - 130*c + 722 = 0.
-19
Factor -2/3*a**4 - 33750 - 900*a**2 + 9000*a + 40*a**3.
-2*(a - 15)**4/3
Let g = 23029/7 + -3286. Factor -45/7*h**3 + 0 + 0*h - 3/7*h**5 + 3*h**4 + g*h**2.
-3*h**2*(h - 3)**2*(h - 1)/7
Let m be 1 + (-1 + (2 - 2))*-27. Suppose -10*a = -17*a + m. Factor 32/13*g**3 - 14/13*g**a + 4/13*g + 0 - 22/13*g**2.
-2*g*(g - 1)**2*(7*g - 2)/13
Suppose -2*f - m + 5 = -0*f, -4*m = 4. Factor -3*x**f + 0*x**3 + 6*x**2 - 3*x + 0*x.
-3*x*(x - 1)**2
Let s be 24/(-14)*1*(-56)/36. Let h(m) be the first derivative of -8/3*m - 1/6*m**4 - s*m**2 - 4 - 10/9*m**3. Find o, given that h(o) = 0.
-2, -1
Let i(k) be the third derivative of k**7/8820 - k**6/210 + 3*k**5/35 + 13*k**4/24 + 11*k**2. Let d(l) be the second derivative of i(l). Factor d(r).
2*(r - 6)**2/7
Suppose -8*p - 75 + 27 = 0. Let m be p*1*(-4)/12. Factor -1/4*g**m + 0 + 0*g + 1/4*g**4 + 0*g**3.
g**2*(g - 1)*(g + 1)/4
What is n in 16/21*n + 10/21*n**5 + 0 + 100/21*n**3 - 24/7*n**2 - 18/7*n**4 = 0?
0, 2/5, 1, 2
Let i(g) = -g**5 - g**4 - g - 1. Let h(l) = 2*l - 6*l + l**2 - 18*l**5 - 13*l**2 + 48*l**4 - 4 - 26*l**3. Let k(q) = h(q) - 4*i(q). Let k(v) = 0. What is v?
-2/7, 0, 1, 3
Suppose t = 3*f - 59, 4*t - 22 = -4*f + 30. Suppose v - f = -v - 5*b, -3*b + 22 = 4*v. Factor v + 2 - 3*n**2 - 12 - 9*n.
-3*(n + 1)*(n + 2)
Let h(q) be the first derivative of 5*q**3/3 + 35*q**2 + 43. Solve h(g) = 0.
-14, 0
Let d(j) = j**2 - 2*j - 60. Let n be d(8). Let f be 1*(5 + n/4). Factor 0*b - 2/3 + 2/3*b**f.
2*(b - 1)*(b + 1)/3
Let j(l) be the third derivative of -7*l**5/240 - l**4/96 + l**3/3 - 158*l**2. Determine b, given that j(b) = 0.
-8/7, 1
Let z(l) = l**4 + l**3 + l**2 - l. Let f(h) be the first derivative of -h**5 - 17*h**4/4 - 2*h**3/3 + h**2 + 31. Let g(n) = f(n) + 2*z(n). Factor g(i).
-3*i**3*(i + 5)
Let s(l) = 9*l**2 - 18*l + 12. Let w(y) = y**2 - y. Suppose -4*n + 2*n = -q + 3, 3*n + 5*q = 28. Let t(b) = n*s(b) - 6*w(b). Let t(c) = 0. What is c?
2
Let j(z) be the third derivative of -z**7/1365 + 7*z**6/260 - z**5/10 + 19*z**4/156 - z**2 - 71. Solve j(f) = 0 for f.
0, 1, 19
Let k(b) = -b**3 + 26*b**2 - 52*b + 103. Let o be k(24). Let y(j) be the third derivative of 0 + o*j**2 + 3/20*j**5 + 0*j - 1/2*j**4 - 2*j**3. Factor y(x).
3*(x - 2)*(3*x + 2)
Let v(w) be the first derivative of w**6/24 - w**5/2 - 3*w**4/16 + 7*w**3/3 + 5*w**2/2 + 425. Find t, given that v(t) = 0.
-1, 0, 2, 10
Suppose 5*g + 5 = 10*g. Let l be (8/(-6) - g)*-9. Let -21 + l + 2*q**2 = 0. What is q?
0
Let i(v) = 2*v**3 + 82*v**2 - 48*v - 18. Let q(p) = 3*p**2 - p - 1. Let w(h) = 2*i(h) - 36*q(h). Factor w(y).
4*y*(y - 1)*(y + 15)
Let v(g) = -g - 1. Let k(h) = -h**2 + 3*h + 3. Let t(d) = -k(d) - 3*v(d). Let r(q) = -4*q**2 + 4*q - 4. Let z(u) = -2*r(u) - 6*t(u). Factor z(j).
2*(j - 2)**2
Factor 1/2*c + 0 + 1/4*c**3 + 3/4*c**2.
c*(c + 1)*(c + 2)/4
Let i(q) be the second derivative of q**5/100 - q**4/20 - 2*q**3/15 + 6*q**2/5 + 376*q. Find x such that i(x) = 0.
-2, 2, 3
Let y(o) be the second derivative of -3*o**5/100 - o**4/4 - o**3/5 + 12*o**2/5 - o - 118. Let y(r) = 0. What is r?
-4, -2, 1
Let s(z) = z - 902*z**2 - 6 - 4*z + 903*z**2. Let u be s(5). Determine g so that 0 - 2/3*g**u - 4/3*g**3 + 4/3*g + 2/3*g**2 = 0.
-2, -1, 0, 1
Let g = 1943/196 - 400/49. Solve 7/4*o - 1/2 + 1/2*o**2 - g*o**3 = 0.
-1, 2/7, 1
Let q be 4 - (-3 + 3) - 2. Let o(f) be the third derivative of 0*f**3 - 3*f**q - 1/105*f**7 + 0 - 1/3*f**4 + 0*f - 4/15*f**5 - 1/12*f**6. Factor o(d).
-2*d*(d + 1)*(d + 2)**2
Suppose -64/3 - 1/3*x**2 + 16/3*x = 0. What is x?
8
Suppose 11*b - 37 + 4 = 0. Suppose 2*n = -5 + 3, -3*t = -5*n - 41. Factor t*k - 27/2*k**4 - 2 + 5/2*k**5