0*y - 44. Let s(r) = r**3 - 33*r**2 + 78*r - 16. Let u(m) = -4*o(m) + 11*s(m). Factor u(w).
-w*(w - 31)*(w - 2)
Let w = -15937 + 15940. Let u(o) be the third derivative of 10*o**2 + 0*o + 0*o**5 + 0 + 1/18*o**6 - 40/9*o**w + 1/126*o**7 - 10/9*o**4. Factor u(m).
5*(m - 2)*(m + 2)**3/3
Let k = 625/58 - 4697/522. Factor k*s + 0 + 4/3*s**2 - 2/3*s**3 - 2/9*s**4.
-2*s*(s - 2)*(s + 1)*(s + 4)/9
Let h(w) be the first derivative of w**5/35 - 11*w**4/28 - 426*w**3/7 - 5994*w**2/7 + 29160*w/7 - 9360. What is m in h(m) = 0?
-18, 2, 45
Let m = -1071998/63 - -17016. Let x(o) be the first derivative of 1/42*o**4 + 1/7*o**2 - m*o**3 + 6/7*o + 20. Suppose x(u) = 0. Calculate u.
-1, 3
Suppose 99*y - 95*y + 36 = 3*h, 3*y = 2*h - 23. Solve 10/3*c - 32/9*c**y - 176/9*c**2 + 100 = 0.
-15/4, 2
Factor 32 + 10 + 24*p**2 + 65*p + 12505352*p**3 - 12505351*p**3.
(p + 1)*(p + 2)*(p + 21)
Suppose 436*h - 10 = 431*h. What is d in -6*d**2 + 9*d**2 - 4*d**h - 3*d + 4 = 0?
-4, 1
Let h be ((-111)/(-2664))/(42/288). Determine z so that 242/7 + 44/7*z + h*z**2 = 0.
-11
Let w(s) = -s**2 + 4*s + 3. Let u be w(-3). Let c be 6/u - 64/(-12). Suppose 63*j**3 + 4*j**2 - 59*j**3 - 4*j**4 + j**c - 5*j**5 = 0. Calculate j.
-1, 0, 1
Determine p so that -26164*p**2 + 13094*p**2 + 176 - 1058*p + 13082*p**2 = 0.
1/6, 88
Let w(b) be the first derivative of -8/3*b**3 + 0*b**2 + 82 + 1/5*b**5 + 0*b + 7/4*b**4. Suppose w(q) = 0. What is q?
-8, 0, 1
Let b(q) be the third derivative of 0 + 0*q - 3*q**3 + 11/100*q**5 + 26*q**2 - 121/40*q**4 - 1/600*q**6. Let a(s) be the first derivative of b(s). Factor a(k).
-3*(k - 11)**2/5
Suppose -4*p - 274*u = -272*u + 8, 5*p + 6*u = -38. Let -12 - 63/5*b - 3/5*b**p = 0. Calculate b.
-20, -1
Let u = -613603/2 + 306829. What is n in -15/2*n**2 + 5 - u*n + 125/2*n**4 + 175/2*n**3 = 0?
-1, 1/5, 2/5
Let b = -242082/7 + 34584. What is y in -3/7*y**2 + b - 3/7*y = 0?
-2, 1
Let t(h) = -3*h**3 - 9*h**2 - 27*h + 9. Let l = 55 - 51. Suppose l*v - 7*v = 12. Let c(g) = g**3 + 2*g**2 + 7*g - 2. Let x(d) = v*t(d) - 15*c(d). Factor x(r).
-3*(r - 2)*(r - 1)*(r + 1)
Suppose 1/3*h - 1/3*h**3 + 40/3 - 40/3*h**2 = 0. What is h?
-40, -1, 1
Let s = -1151/104 + 155/14. Let b = s + 361/728. What is f in -b*f**3 - 5/2*f - 2*f**2 - 1 = 0?
-2, -1
Let l be 4/12*-1*-9. Suppose -11 = -4*w - l. Factor 4*c**4 - 80*c**2 - w*c**4 + 72*c**2.
2*c**2*(c - 2)*(c + 2)
Let z be 1/23*(37 - 33). Let k = 156/161 + z. Suppose 2/7*g**4 + 8/7*g + k - 4/7*g**3 - 6/7*g**2 = 0. What is g?
-1, 2
Determine p, given that -1/3*p**3 + 14/3 - 14/3*p**2 + 1/3*p = 0.
-14, -1, 1
Let w be (6/(-4))/(6/8) - 4698/(-2160). Let x(c) be the third derivative of w*c**6 + 22*c**2 - 7/10*c**5 + 2/35*c**7 + 0*c**3 + 0 + 3/8*c**4 + 0*c. Factor x(j).
3*j*(j - 1)*(j + 3)*(4*j - 1)
Let -3*f**4 + 126*f - 372*f**2 + 24 - 45/2*f**5 + 495/2*f**3 = 0. Calculate f.
-4, -2/15, 1, 2
Let b(z) be the first derivative of -z**4/20 - 7*z**3/5 + 2*z**2/5 + 84*z/5 - 1537. Factor b(q).
-(q - 2)*(q + 2)*(q + 21)/5
Determine z so that -15*z**4 - 5*z**5 + 181*z**3 + 3*z**5 + 268*z + 345*z**3 - 666*z**2 - 111*z**4 = 0.
-67, 0, 1, 2
Let d(m) be the third derivative of m**10/2520 + m**9/2160 + m**8/6720 - m**4/8 - 5*m**3/6 + 84*m**2. Let w(p) be the second derivative of d(p). Factor w(g).
g**3*(3*g + 1)*(4*g + 1)
Suppose -39*w + 5695 = -34*w. Let b = w - 5671/5. Suppose 1/5*d**4 + 216/5*d**2 + b*d**3 + 864/5*d + 1296/5 = 0. Calculate d.
-6
Let c = -2 - -4. Let f(j) = -2*j**2 - 79*j + 306. Let w be f(-43). Determine x so that 7*x + 12 + w - 7 - 5*x**c - 2*x = 0.
-1, 2
Let g(p) be the first derivative of -2*p**3 + 5/2*p**4 - 2/5*p**5 + 0*p - 9*p**2 - 114. Factor g(t).
-2*t*(t - 3)**2*(t + 1)
Let s be 7475/75 + (-1)/(-3). Suppose -3*x**2 + x**2 + 2*x**2 - 1250 - 2*x**2 + s*x = 0. Calculate x.
25
Let a(v) be the second derivative of -v**6/90 - v**5/4 - 7*v**4/4 - 85*v**3/18 - 6*v**2 - 2826*v. What is i in a(i) = 0?
-9, -4, -1
Let h(t) be the third derivative of -7*t**5/360 + 484*t**4/9 - 553*t**3/9 + 100*t**2. Factor h(r).
-(r - 1106)*(7*r - 2)/6
Let y = 4 + 28. Suppose -8*p - l = -6*p - 10, 4*l = 4*p - y. Factor -5*c - p + 0 + 2 - c**2.
-(c + 1)*(c + 4)
Suppose 0 = -20*z - z + 63. Find h, given that -48*h**4 - 29*h**5 - 16*h + 8 + 49*h**5 + 16*h**z - 17*h - 3*h + 40*h**2 = 0.
-1, 2/5, 1
Let v(t) = 15*t**3 - 39*t**2 - 311*t - 281. Let c(x) = -2*x**3 - x**2 - x + 1. Let n(b) = -8*c(b) - v(b). Let n(w) = 0. Calculate w.
-39, -7, -1
Let w be (-7 + -3)*44/(-220). Find t such that 0*t - 1/5*t**3 - 2/5*t**w + 0 = 0.
-2, 0
Suppose 8*s - 56 = 40. Factor -25*v + 263 - 293 + s*v**2 - 2*v**2 + 4*v**3 + v**3.
5*(v - 2)*(v + 1)*(v + 3)
Let w(h) be the second derivative of -h**7/63 - h**6/15 + 3*h**5/10 - 5*h**4/18 + 142*h. Find l such that w(l) = 0.
-5, 0, 1
Let i = 104289/5 + -20857. Let s(q) be the second derivative of -42*q + 0*q**2 + 4*q**4 + i*q**6 + 0 - 2/21*q**7 - 13/5*q**5 - 8/3*q**3. Solve s(n) = 0.
0, 1, 2
Let h(f) = 8*f + 11. Let c be h(4). Factor 140*g**4 - c*g - 6*g**2 + 43*g - 10*g**2 - 16*g**3.
4*g**2*(5*g - 2)*(7*g + 2)
Let k(r) be the second derivative of -r**4/3 + 1298*r**3/9 + 868*r**2/3 + 216*r. Determine i, given that k(i) = 0.
-2/3, 217
Suppose -5*w + 82 = v, 5*w - 246 = -4*v + v. Suppose 2*r - 86 + v = 0. Factor -2/9 + 4/9*l**r - 4/9*l**3 + 2/9*l + 2/9*l**5 - 2/9*l**4.
2*(l - 1)**3*(l + 1)**2/9
Let f = 97 + -80. Suppose -f*g + 5*g = -1164. Solve 26*d**3 - g*d**2 - 50*d**2 - 343*d - d**4 - 47*d**3 = 0.
-7, 0
Let d be (-30)/9 - 26125/(-57). Let z be (-78)/d*10/(-6). What is m in -z*m + m**3 + 0 + 5/7*m**2 = 0?
-1, 0, 2/7
Let p(h) be the third derivative of h**5/6 - 2905*h**4/8 - 8725*h**3/6 - 2*h**2 + 40*h - 2. What is b in p(b) = 0?
-1, 1745/2
Let l(f) = 20*f - 117 + 401 - 4*f**2 + 32*f - 18*f. Let s(g) = g**2 + 1. Let d(c) = 3*l(c) + 15*s(c). Solve d(b) = 0 for b.
-17
Let w be 25/5 + 3 - 52/(1248/72). Determine r so that 3*r**3 - 15/4*r + 0 + 9/2*r**2 - 9/2*r**4 + 3/4*r**w = 0.
-1, 0, 1, 5
Let r = 374897/749788 - 3/749788. Factor -1058 - 46*o - r*o**2.
-(o + 46)**2/2
Let y be ((-4)/(-5))/(38/380). Factor -26*c + 1516 + y*c - 2*c**3 - 1508 + 12*c**2.
-2*(c - 4)*(c - 1)**2
Let d(m) be the second derivative of 5*m**4/12 - 490*m**3/3 - 985*m**2/2 + 7790*m. Factor d(r).
5*(r - 197)*(r + 1)
Let u be ((-799)/(-2))/(4/8). Let g = u - 795. Factor 4/5*n**2 + 0*n**3 + 0*n - 2/5*n**g - 2/5.
-2*(n - 1)**2*(n + 1)**2/5
Let j(s) be the first derivative of -s**5/120 - s**4/48 + 18*s**2 + 41. Let n(a) be the second derivative of j(a). Suppose n(q) = 0. What is q?
-1, 0
Let x = 1339 - 1335. Suppose -m - 5 = 3*b, m + 13 = 5*m + b. Factor 299*p**m - 294*p**x + 5*p**3 - 24*p - p - 10 - 15*p**2.
5*(p - 2)*(p + 1)**3
Let t be (5 + -31)/(-2) - 9. Let v(j) be the first derivative of -21/4*j**t - 5*j**3 - 13 + 0*j + 3*j**2. Factor v(z).
-3*z*(z + 1)*(7*z - 2)
Let n(i) be the first derivative of i**6/24 - 9*i**5/20 + i**4/16 + 27*i**3/4 + 35*i**2/4 + 91. Suppose n(d) = 0. What is d?
-2, -1, 0, 5, 7
Suppose 3*u + 2 = -k - 2, -3*u = 5*k + 56. Let c(w) = -w**3 - 14*w**2 - 14*w - 13. Let z be c(k). Factor z*d**3 + 12*d**3 + 3*d**3 - 50*d**2 - 21*d - 19*d.
5*d*(d - 4)*(3*d + 2)
Let h be (-722)/80 - 1/(-4). Let d = h - -75/8. Let 3/5*r**3 + d*r**2 + 0 + 0*r = 0. What is r?
-1, 0
Let v(g) be the first derivative of -8*g**4 - 148*g**3 - 756*g**2 + 196*g - 3070. Solve v(r) = 0 for r.
-7, 1/8
Let x be (44 + -51)/(3 + -4). Let c(p) be the third derivative of 0*p + 0*p**3 + 1/21*p**4 + 0*p**6 + 0 - 11*p**2 - 1/35*p**5 + 2/735*p**x. Factor c(t).
4*t*(t - 1)**2*(t + 2)/7
Let a be (230/(-80))/(-23)*4. Let q(m) be the first derivative of 0*m - 11 + 1/3*m**3 + a*m**2. Factor q(s).
s*(s + 1)
Let w(s) be the first derivative of -3/2*s**2 - 1/5*s**3 - 28 + 0*s. Determine h so that w(h) = 0.
-5, 0
Suppose 4*n - 99 = 14*r - 11*r, 0 = 2*n - r - 49. Factor 4*b**2 + 0*b**2 - 47962 - n*b + 47994.
4*(b - 4)*(b - 2)
Factor -938600 - 760*o - 2/13*o**2.
-2*(o + 2470)**2/13
Factor 25344*s - 132*s**3 - 3/2*s**4 - 2328*s**2 - 55296.
-3*(s - 4)**2*(s + 48)**2/2
Let k = 263 + -121. Let s = 144 - k. Factor 0 - 3/8*m**s - 3/8*m**3 + 0*m.
-3*m**2*(m + 1)/8
Let a(r) be the second derivative of -1/18*r**6 + 5/18*r**4 - 1/6*r**5 - 74 - r - 5/6*r**2 + 5/18*r**3 + 5/126*r**7. Solve a(f) = 0 for f.
-1, 1
Let t(f) b