*c + 1)/9
Suppose -4*b + 2*u - 3*u + 1056 = 0, -2*b = -u - 522. Let i = b - 157. Determine x so that 108*x**4 - i*x**2 + 352*x**2 + 278*x - 333*x**3 - 24 - 290*x = 0.
-1/4, 2/3, 2
Factor 0*x - 1/9*x**4 + 0 - 4/3*x**2 - 7/9*x**3.
-x**2*(x + 3)*(x + 4)/9
Solve -335855*h - 4*h**3 + 335855*h + 156*h**2 = 0 for h.
0, 39
Let h(z) be the second derivative of -1/6*z**4 + 133*z + z**3 + 0 - 2*z**2. Factor h(q).
-2*(q - 2)*(q - 1)
Suppose -8 = 4*w - 52. Let x be (-87)/116 - w/(-4). Factor 10*y - y**2 - 8*y**2 - 4 + x*y**3 + y**2.
2*(y - 2)*(y - 1)**2
Let l(w) = -44*w**4 - 24*w**3 - 24*w**2. Let m(c) = -9*c**4 - 5*c**3 - 5*c**2. Suppose -2*d - 2*v = 0, 1 = d - v + 11. Let u(x) = d*l(x) + 24*m(x). Factor u(n).
4*n**4
Factor 215 - 429/2*m - 1/2*m**2.
-(m - 1)*(m + 430)/2
Factor -4*b + 1/2*b**2 - 105/2.
(b - 15)*(b + 7)/2
Suppose -5*k = -2*s + 33, 5*k - 6*k = 1. Let j(c) = 19*c - 264. Let f be j(s). Factor 0 + 1/4*u**f + 7/4*u.
u*(u + 7)/4
Let s(f) = -f**4 - 59*f**3 + 98*f**2 + 120*f + 4. Let r(q) = -60*q**3 + 105*q**2 + 120*q + 5. Let u(t) = 4*r(t) - 5*s(t). Factor u(p).
5*p*(p - 2)*(p + 1)*(p + 12)
Let m be ((-8)/18)/(-1)*63/14. Suppose 3*p - 13 = m. Factor -w**3 - 4*w**2 + 4*w**3 + 4*w**4 - 4*w**p + w**3 + 0*w**4.
-4*w**2*(w - 1)**2*(w + 1)
Suppose -25*m - 199 = 5501. Let a = -2492/11 - m. Let 0 + 0*p + 0*p**2 + 4/11*p**3 + a*p**4 + 7/11*p**5 = 0. What is p?
-2, -2/7, 0
Let a(y) be the first derivative of 31 - 25*y**2 + 5/3*y**3 + 125*y. Factor a(f).
5*(f - 5)**2
Let b = 610252/3 - 203414. Solve 0 - 4/3*h + b*h**2 - 8/3*h**3 + 2/3*h**4 = 0 for h.
0, 1, 2
Factor 0 - 4/13*p**2 + 302/13*p**3 + 0*p.
2*p**2*(151*p - 2)/13
Let t(f) be the third derivative of 0 - 243*f**2 - 25/72*f**4 - 1/9*f**5 + 0*f**3 + 0*f + 1/72*f**6. Factor t(u).
5*u*(u - 5)*(u + 1)/3
Factor 248/9 + 1/9*q**3 - 14*q - 41/3*q**2.
(q - 124)*(q - 1)*(q + 2)/9
Let l(i) = -224*i - 219. Let v be l(-1). Factor -7/4*f + v - 3/4*f**2.
-(f + 4)*(3*f - 5)/4
Let h = -1 - -3. Suppose 92*a - 174 = 34*a. Factor b + 3*b - 6*b + a*b**h - b.
3*b*(b - 1)
Determine r, given that -12*r + 24*r**2 - 21/4*r**3 + 0 = 0.
0, 4/7, 4
Let q = 39275/70189 - -119/10027. Suppose -q*p - 2/7*p**2 + 0 = 0. Calculate p.
-2, 0
Let r = 4426 + -4422. Let x(b) be the second derivative of 0*b**2 + 1/12*b**r - 12*b + 0*b**3 + 0. Factor x(n).
n**2
Let d = 12 - -4. Suppose -4*p + 2*f + 18 = 0, 2*f - 6*f = 2*p + d. Let 3 - 10*s**3 - 35*s + 35*s**p + 4 + 3 = 0. What is s?
1/2, 1, 2
Let a be (46 + -46)/(-2 - -4). Suppose a = -5*b - 20, 2*j + 10 = 17*b - 21*b. Let -63/2*p**2 - 3*p**j - 90*p - 75/2 = 0. Calculate p.
-5, -1/2
Factor 24*u + 11/3*u**3 + 83/3*u**2 + 0.
u*(u + 1)*(11*u + 72)/3
Let a(w) be the first derivative of 0*w + 1/10*w**5 + 0*w**3 - 1/12*w**6 + 1/4*w**4 + 0*w**2 + 19. Factor a(n).
-n**3*(n - 2)*(n + 1)/2
Suppose -4*l + 162 - 22 = 0. Factor -l*i**3 + 3*i**2 - 30*i + 60*i**3 - 10 + 7*i**2 + 5*i.
5*(i - 1)*(i + 1)*(5*i + 2)
Suppose -5*q - 15 = -180. Determine g, given that 64*g - 31 + 0*g + 42 + q - 3*g**2 = 0.
-2/3, 22
Suppose 15*j = -13*j + 7*j. Let l(f) be the third derivative of j + 0*f**4 + 1/600*f**6 + 0*f + 1/150*f**5 + 0*f**3 - 5*f**2. Factor l(g).
g**2*(g + 2)/5
Let f(x) be the first derivative of 0*x**2 + 0*x + 0*x**4 + 4/3*x**3 - 1/135*x**5 - 7 + 1/1620*x**6. Let c(y) be the third derivative of f(y). Factor c(k).
2*k*(k - 4)/9
Let d(i) = i**2 - 3818*i + 24832. Let t(l) = l**2 - 1263*l + 8277. Let c(w) = 3*d(w) - 8*t(w). Factor c(n).
-5*(n - 6)*(n + 276)
Solve -2116/7 + 1146/7*p**2 - 94/7*p**3 + 2/7*p**4 - 874/7*p = 0 for p.
-1, 2, 23
Let m(c) = c + 11. Let n be m(-10). Let v be 4 - (3 + n/4). Find y such that 12*y**4 + v - 30*y**3 + 99/4*y**2 - 15/2*y = 0.
1/4, 1
Let i be (-9)/1*(-84)/18. Let j be ((-900)/i)/((-12)/21). Factor j*g**3 + 117/2*g + 27/2 + 165/2*g**2.
3*(g + 1)*(5*g + 3)**2/2
Suppose -2043 = -31*g + 12124. Let r = g - 455. Factor r*x**2 - 1/4*x**3 - 21/4*x + 9/2.
-(x - 3)**2*(x - 2)/4
Factor -1118*w - 1181*w - 3*w**3 + 2407*w.
-3*w*(w - 6)*(w + 6)
Let a be (-1)/(-2) - (-6)/36. Let i be (-2)/(-6)*60/4. Factor -4/3*k**3 - 4/3*k**2 + 2/3*k + a*k**i + 2/3*k**4 + 2/3.
2*(k - 1)**2*(k + 1)**3/3
Let g(a) be the first derivative of -a**5/15 - 5*a**4/12 - a**3/3 + 3*a**2/2 - 848. Determine i, given that g(i) = 0.
-3, 0, 1
Let c = -414602 + 414602. Factor 572/15*j**3 + 722/15*j + c - 456/5*j**2 + 2/15*j**5 + 24/5*j**4.
2*j*(j - 1)**2*(j + 19)**2/15
Let g(y) be the second derivative of 50*y - 3*y**4 + 0 - 2/15*y**6 - 3/2*y**5 + 96*y**2 + 64/3*y**3. Find p, given that g(p) = 0.
-4, -3/2, 2
Suppose -142 = 33*t + 1442. Let a be 0 - ((-2)/t - 3/8). Determine v so that 4/3*v + 4/3 - 1/3*v**2 - a*v**3 = 0.
-2, -1, 2
Let g = -7 - -8. Let r(w) be the first derivative of w**4 - 8*w**3/3 + 6*w**2 - 52. Let a(i) = i**3 - i**2 + 1. Let z(u) = g*r(u) - 8*a(u). Factor z(t).
-4*(t - 1)**2*(t + 2)
Let j(p) be the first derivative of p**6/9 - 7*p**4 + 304*p**3/9 - 61*p**2 + 48*p - 4640. Suppose j(s) = 0. What is s?
-8, 1, 3
Suppose 1517 = -6*t + 293. Let j be (-9 - t/18) + -2. Let j*c**2 - 1/3*c**3 + 1/6*c - 1/6*c**4 - 1/6 + 1/6*c**5 = 0. Calculate c.
-1, 1
Let x(s) = 5*s**4 + s**3 - s**2 + 3*s. Let j(v) = 4*v + v - 1123 + 5*v**4 + 1123. Let o(f) = 4*j(f) - 5*x(f). Suppose o(i) = 0. Calculate i.
-1, 0, 1
Suppose 2*k = 2*x + 8, -k + 2 = x + 6. Let w = 34 + x. Find d, given that d**5 + 8*d**2 - 7*d**5 + 3*d**2 - w*d**3 + 27*d**4 - 2*d**2 = 0.
0, 1/2, 1, 3
Factor 22862320/7*y - 22875848/7 + 13526/7*y**2 + 2/7*y**3.
2*(y - 1)*(y + 3382)**2/7
Suppose 3*v + v = 33*v. Let b(k) be the second derivative of 39*k + 0*k**3 + v - 1/15*k**5 + 0*k**2 + 1/135*k**6 + 5/54*k**4. Factor b(x).
2*x**2*(x - 5)*(x - 1)/9
Determine w, given that 3/2*w**5 + 2883 - 276*w**2 + 1437*w**3 - 8277/2*w + 93*w**4 = 0.
-31, -2, 1
Let 13/5*b + 0 + 11/5*b**3 - 1/5*b**4 + 5*b**2 = 0. What is b?
-1, 0, 13
What is w in -10*w**2 - 480 - 2150*w**2 - 3910*w**3 - 389*w + 1320*w**4 + 580*w + 45*w**5 + 2354*w = 0?
-32, -1, 1/3, 3
Let q be (3 + 3 - (5 - (2 - -3))) + -2. Let l(b) be the first derivative of q*b - 19 + 4/3*b**3 - 4*b**2. Factor l(a).
4*(a - 1)**2
Solve -68/11*v**2 + 90/11 + 114/11*v - 116/11*v**3 - 2*v**4 + 2/11*v**5 = 0.
-3, -1, 1, 15
Let x(z) be the second derivative of 0 - 17/18*z**3 + 121*z - 1/3*z**2 - 1/15*z**6 - 5/12*z**5 - 17/18*z**4. Let x(h) = 0. Calculate h.
-2, -1, -1/6
Find b, given that 2/7*b**4 - 429024/7*b + 212546/7*b**2 + 1308/7*b**3 + 215168/7 = 0.
-328, 1
Suppose -70*h**4 - 260*h**2 + 5*h**5 + 2015975*h**3 - 1008021*h**3 + 100*h - 1007729*h**3 = 0. Calculate h.
0, 1, 2, 10
Determine p, given that 58/5*p**3 - 58/5*p + 1/5*p**4 + 248/5 - 249/5*p**2 = 0.
-62, -1, 1, 4
Let t = 41 - 39. Solve 63*r - 10 + 58*r**t + 64 - 52*r**2 - 3*r**3 = 0.
-3, -1, 6
Find u such that -210*u**2 + 70*u + 38*u - 12 + 89*u**2 + 95*u**2 - 4 = 0.
2/13, 4
Solve -1805*h - 940*h**3 + 0 + 7030/3*h**2 + 120*h**4 = 0.
0, 3/2, 19/6
Let m(f) = -40*f**2 + 40*f + 108. Let h(b) = 69*b**2 - 81*b - 217. Let o(t) = -4*h(t) - 7*m(t). Suppose o(z) = 0. Calculate z.
-7, -4
Let q(w) = -4*w**3 - 11*w**2 + 2*w - 1. Let k be q(-3). Determine n, given that -120*n**2 - 40*n + 2*n**3 - 113*n**k - 48 + 229*n**2 = 0.
-2, 6
Let s be (3/(-6))/((-10)/(-7592)). Let t = 380 + s. Factor 6/5*y - 4/5*y**2 + 6/5*y**4 - t - 4/5*y**3 - 2/5*y**5.
-2*(y - 1)**4*(y + 1)/5
Suppose 224676/7 + 1896/7*x + 4/7*x**2 = 0. Calculate x.
-237
Factor 44/9*z**2 + 20/9 + 74/9*z + 2/3*z**3.
2*(z + 2)*(z + 5)*(3*z + 1)/9
Let m(o) be the third derivative of o**6/480 - 13*o**5/160 - 7*o**4/16 + 73*o**3/6 + 16*o**2. Let x(b) be the first derivative of m(b). Let x(n) = 0. What is n?
-1, 14
Let a(w) be the first derivative of 1/24*w**4 + 19 + 0*w**3 - 1/4*w**2 - 1/3*w. Factor a(r).
(r - 2)*(r + 1)**2/6
Let f(h) = h**2 + 4*h - 1. Let k(m) = -7*m**2 - 462*m + 9. Let s(w) = 9*f(w) + k(w). Solve s(d) = 0.
0, 213
Let b(i) be the second derivative of 4/15*i**6 + 2*i**2 + 16 - 7/3*i**3 + 7/10*i**5 - i**4 - 2*i. Let b(p) = 0. Calculate p.
-2, -1, 1/4, 1
Let o be 70/105*(-6)/4672. Let b = 11683/3504 + o. Solve 8/3 + 2/3*t**2 + b*t = 0.
-4, -1
Let y(h) = -h - 1. Let w be 4/(-2) + (-36 - -62). Let j = -3 + 6. Let z(q) = q**2 + 14*q + 1. Let r(b) = j*z(b) + w*y(b). Determine p so that r(p) = 0.
-7, 1
Let o(y) = 3*y**3 - 99*y**2 + 23