 - 10.
4*(k - 1)*(k + 1)**2*(2*k + 1)
Suppose 4*i - 902 = -5*k, 2*k = -2*i - 2*i + 896. Let w = i + -1113/5. Suppose 2/5*c + w*c**2 - 4/5 = 0. What is c?
-2, 1
Factor -7/3*g - 1/3*g**3 - 1 - 5/3*g**2.
-(g + 1)**2*(g + 3)/3
Determine z so that 1/2*z**4 + 0 - 1/2*z**2 + 9*z**3 - 9*z = 0.
-18, -1, 0, 1
Let i(b) be the first derivative of 8/9*b**3 + 1/2*b**4 + 16 - 1/9*b**6 + 0*b - 4/3*b**2 - 4/15*b**5. Factor i(m).
-2*m*(m - 1)**2*(m + 2)**2/3
Suppose 14*c - 5*c + 3267 = 0. Let t = c + 1821/5. Factor 2/5 - 6/5*r + t*r**2 - 2/5*r**3.
-2*(r - 1)**3/5
Let t(j) be the second derivative of -5*j**9/3024 - j**8/336 + j**7/168 + j**6/72 - 10*j**3/3 - 14*j. Let p(m) be the second derivative of t(m). Factor p(g).
-5*g**2*(g - 1)*(g + 1)**2
Let r(d) be the second derivative of d**5/4 - 275*d**4/48 + 455*d**3/12 + 245*d**2/8 - 2*d - 56. Solve r(c) = 0 for c.
-1/4, 7
Find s, given that -4/3*s**2 - 2/15*s**3 + 0 + 22/15*s = 0.
-11, 0, 1
Let j = 2217/49 - 236/49. Let k = j - 39. Solve -k*m - 2*m**2 - 2/7 - 6/7*m**3 = 0 for m.
-1, -1/3
Let h(l) = l**3 - 9*l**2 + 8*l + 3. Let m be h(8). Factor -29*o**3 - 33*o**3 - 29*o**m + 93*o**3.
2*o**3
Factor 3/4*p**2 + 3*p + 3.
3*(p + 2)**2/4
Let o(u) = u**3 + 6*u**2 + 7*u - 4. Suppose -4*y + 0 - 6 = -5*l, -3*l - 6 = 0. Let q be o(y). Let 0 + 0*w + 3/8*w**3 + q*w**2 = 0. Calculate w.
0
Let u = -2 - -7. Suppose l - 7 = 2*l - 5*h, u*l + h = 17. Let -l + 4*b - b**2 - b + 1 = 0. Calculate b.
1, 2
Let r(c) be the second derivative of 39*c + 3/4*c**5 + 35/12*c**4 + 0 + 0*c**3 - 10*c**2. Factor r(b).
5*(b + 1)*(b + 2)*(3*b - 2)
Solve 59*j**2 + 164*j**3 + 50*j**2 - 48*j - 29*j**2 + 80*j**4 + 12*j**5 = 0.
-3, -2, 0, 1/3
Let l = 550262139/470 - 1170771. Let v = 2/235 - l. Factor 1/4*p**2 - 1/4*p - v.
(p - 2)*(p + 1)/4
Factor -2/5*h**2 - 144/5 - 36/5*h.
-2*(h + 6)*(h + 12)/5
Suppose 3*y + 2*f + 11 = 6*y, y - 8 = 5*f. Suppose 6*k - 9 = y*k. Factor -h + k + 2*h**2 - 3*h - h**2 + 0*h.
(h - 3)*(h - 1)
Let i be ((-1)/(-8))/(9*6/24). Let w(d) be the second derivative of 0*d**2 - 1/60*d**5 + d + 0*d**4 + 0 + i*d**3. Suppose w(q) = 0. Calculate q.
-1, 0, 1
Let a = -51487 + 51489. Let 1/4*y**5 + 3/4*y - 1/2*y**a + 1/2 - y**3 + 0*y**4 = 0. What is y?
-1, 1, 2
Let h(c) be the third derivative of -c**9/5040 + c**7/420 - c**5/40 + 7*c**4/6 + 6*c**2. Let v(s) be the second derivative of h(s). Factor v(f).
-3*(f - 1)**2*(f + 1)**2
Let q(f) = f**2 + 14*f + 3. Let p be q(-14). Factor -d**3 - 46*d**4 + 7*d**3 + p*d**2 + 49*d**4.
3*d**2*(d + 1)**2
Let h = 174 - 174. Suppose -3*r + g = -4, h*r - 5*r + 6 = -2*g. Factor 2/7*f**r + 12/7*f + 18/7.
2*(f + 3)**2/7
Let s(c) be the third derivative of c**2 + 1/13*c**4 - 8/39*c**3 + 1/780*c**6 + 0 - 1/65*c**5 + 0*c. Factor s(o).
2*(o - 2)**3/13
Let q(d) be the third derivative of -d**8/560 + 3*d**7/175 - 3*d**6/50 + d**5/10 - 3*d**4/40 + 318*d**2. Let q(v) = 0. Calculate v.
0, 1, 3
Suppose -36*k**2 - 3*k**4 - 982 + 982 - 21*k**3 = 0. What is k?
-4, -3, 0
Suppose -108*j = -107*j - 2. Suppose -2*v + 0*v - 18*v**j + 14 + 5*v + 1 = 0. What is v?
-5/6, 1
Let r(n) = -4*n**4 + 2*n**3 + 4*n - 5. Let y(g) = g**4 - g**3 + g**2 - g + 1. Suppose 27 = -3*p + 21. Let s(o) = p*r(o) - 6*y(o). Factor s(u).
2*(u - 1)**2*(u + 1)*(u + 2)
Factor 42 + 20*a**2 - 6 + 64*a**3 - 180*a**2 - 108*a.
4*(a - 3)*(4*a - 1)*(4*a + 3)
Let t(x) be the first derivative of 2*x**5/25 + 13*x**4/10 + 46*x**3/15 + 11*x**2/5 - 113. Factor t(h).
2*h*(h + 1)**2*(h + 11)/5
Suppose 2/3*j**3 + 0 - 2/3*j**5 + 0*j + 16/3*j**2 - 16/3*j**4 = 0. What is j?
-8, -1, 0, 1
Solve 10/3*v**3 - 2*v**4 + 2 + 0*v**2 - 11/3*v + 1/3*v**5 = 0.
-1, 1, 2, 3
Let u(j) = 2*j**4 - 4*j**3 + 7*j - 2. Let q(p) = -p. Let c(w) = 6*q(w) + 2*u(w). Factor c(s).
4*(s - 1)**3*(s + 1)
Let n(g) be the first derivative of g**3/6 + 15*g**2/2 + 225*g/2 - 126. Find y, given that n(y) = 0.
-15
Let i be 41/(-15) + (18 - 15). Let g(z) be the third derivative of -7/600*z**6 - 3*z**2 - 3/50*z**5 + 0 - 1/6*z**4 + 0*z - i*z**3 - 1/1050*z**7. Factor g(w).
-(w + 1)*(w + 2)**3/5
Determine b so that 2/5*b**2 + 8/5*b - 2 = 0.
-5, 1
Let w be (6 - (-232)/(-32))/(50/(-48)). Find q, given that -2/5*q - 6/5*q**4 - 8/5*q**5 + 0 + w*q**2 + 2*q**3 = 0.
-1, 0, 1/4, 1
Let v be ((-30)/20)/((-6)/20). Suppose 0 = -v*o + 2*o + 9. Find i, given that 3*i - 2*i**4 - 3*i**3 + i + 2 + 0*i**o - i**3 = 0.
-1, 1
Let u be (2/(-6))/((-6)/108). Factor -37*t - u*t**3 + 3*t**5 + 40*t + 1 - 1.
3*t*(t - 1)**2*(t + 1)**2
Let n be (-44)/(-88) + 359/4*2. Let m = n - 180. Suppose 0 + m*v - 2*v**3 + 4/3*v**2 = 0. Calculate v.
0, 2/3
Let h(m) be the second derivative of m**8/560 - 9*m**7/280 - 22*m**3/3 - 38*m. Let v(p) be the second derivative of h(p). Factor v(o).
3*o**3*(o - 9)
Determine y, given that 88*y + y**2 + 17*y - 288 + 58 + 4*y**2 = 0.
-23, 2
Let s = -26 + 29. Factor 0*i**4 - 3*i**3 + i**s - i**5 - 3*i**4.
-i**3*(i + 1)*(i + 2)
Let k(q) be the second derivative of 21*q**6/80 + 33*q**5/32 - 287*q**4/32 - 191*q**3/16 - 45*q**2/8 + 17*q - 5. Find j, given that k(j) = 0.
-5, -1/3, -2/7, 3
Let t = -6 - -12. Let l(x) = -4*x**3 + 10*x**2 - 6*x - 18. Let r(v) = -5*v**3 + 10*v**2 - 6*v - 18. Let w(d) = t*l(d) - 4*r(d). Factor w(o).
-4*(o - 3)**2*(o + 1)
Suppose 21*v + 2*h + 14 = 26*v, 10 = 2*v - 3*h. Let 0 - 2/3*l**v + 1/6*l**3 + 2/3*l = 0. What is l?
0, 2
Factor -348*m**2 + 137*m + 903*m**2 + 16*m**3 + 17 - 275*m**2.
(m + 17)*(4*m + 1)**2
Suppose -3*f = f - 48. Let s be (-1)/(-2)*192/f. Find w, given that w**2 - 8 - w**2 - s*w + 3*w**2 - 5*w**2 = 0.
-2
Let y = -37 + 62. Solve -90*o**3 - y*o**4 - 47*o**2 + 97*o - 67*o + 12*o**2 = 0.
-3, -1, 0, 2/5
Let a be 0/((14 - 18)*3/4). Let c(y) be the first derivative of -3/14*y**4 + a*y - 1/7*y**2 + 2/7*y**3 + 2/35*y**5 + 4. Factor c(r).
2*r*(r - 1)**3/7
Let k(x) be the first derivative of 2*x**5/45 - 19*x**4/18 + 76*x**3/9 - 224*x**2/9 + 256*x/9 - 228. Factor k(y).
2*(y - 8)**2*(y - 2)*(y - 1)/9
Let u(s) be the third derivative of -s**8/1344 + s**7/420 + s**6/160 + 243*s**2 + 2*s. What is x in u(x) = 0?
-1, 0, 3
Let a be (1*20/(-48))/(21/184). Let b = -24/7 - a. What is c in 16/3*c**2 + 2*c**5 + 68/9*c**4 + b*c - 4/9 + 92/9*c**3 = 0?
-1, 2/9
Suppose 9/4*q + 9/4*q**4 - 3/2*q**2 - 3/4*q**5 - 3/4 - 3/2*q**3 = 0. What is q?
-1, 1
Let f(x) be the second derivative of x**6/30 - 23*x**5/5 + 337*x**4/2 + 2162*x**3/3 + 2209*x**2/2 - 3*x - 5. Factor f(r).
(r - 47)**2*(r + 1)**2
Suppose -14*l = -22*l + 16. Let f(g) be the first derivative of -1/13*g**l - 4/65*g**5 - 8 + 0*g**4 + 1/39*g**6 + 4/39*g**3 + 0*g. Factor f(n).
2*n*(n - 1)**3*(n + 1)/13
Find u such that -32/3*u - 1/3*u**5 + 5/3*u**4 - 17/3*u**2 + 28/3 + 17/3*u**3 = 0.
-2, 1, 7
Let m be 150/(-100)*2/(-120). Let s(q) be the third derivative of -1/12*q**3 + 0*q - m*q**5 + 1/16*q**4 + 0 - 3*q**2 + 1/240*q**6. Factor s(l).
(l - 1)**3/2
Let r(x) be the second derivative of 1/36*x**4 + 2/3*x**2 + 2/9*x**3 + 0 + x. Factor r(u).
(u + 2)**2/3
Let a(f) be the second derivative of f**4/48 - 49*f**3/24 + 6*f**2 - 22*f + 1. Suppose a(j) = 0. What is j?
1, 48
Let p(h) be the second derivative of 10*h - 637/40*h**5 + 0 + 343/60*h**6 + 63/4*h**4 - 23/3*h**3 + 2*h**2. Factor p(s).
(s - 1)*(7*s - 2)**3/2
Let y(r) be the third derivative of -r**8/560 + 3*r**7/140 - r**6/10 + r**5/5 - 7*r**3/3 + 23*r**2. Let l(x) be the first derivative of y(x). Factor l(z).
-3*z*(z - 2)**3
Let b(t) be the second derivative of 0 + 12*t - 5/12*t**4 + 5/6*t**3 + 5*t**2. Factor b(o).
-5*(o - 2)*(o + 1)
Suppose -38 + 53 = 5*n. Let d(u) be the second derivative of 0*u**5 + 0*u**n + 1/15*u**6 + 0*u**2 + 0 - 1/6*u**4 + 3*u. Factor d(w).
2*w**2*(w - 1)*(w + 1)
Let l be (16/(-3))/(6/(-9)). Find r, given that 2*r**5 + l - 10*r**4 + 7*r**3 - 22*r**2 - 16*r + 24*r**2 + 7*r**3 = 0.
-1, 1, 2
Let w = 9/5 + -7/15. Let i = 68/111 + 2/37. Suppose w*b**2 + 0 + 2/3*b**3 + i*b = 0. Calculate b.
-1, 0
Let n(j) = 5*j**2 + 22*j + 10. Let s = 180 - 184. Let o be n(s). Find y such that -8/3 - 2/3*y**o + 8/3*y = 0.
2
Suppose 5*w - 3*c + 1 = 0, -2*c - 1 = -5*w + 5. Factor -2/3*d**w + 0 - 2*d**3 - 2*d**2 - 2/3*d.
-2*d*(d + 1)**3/3
What is k in k**2 - 1/2 - k**3 - 1/2*k**4 + 1/2*k + 1/2*k**5 = 0?
-1, 1
Let n(y) = -y**3 + 6*y**2 - 3. Let r(o) = -1. Let d(b) = -n(b) + 6*r(b). Let i(h) be the first derivative of d(h). 