*4 + 0*w + p*w**2.
-2*w**3*(2*w + 1)/21
Factor 189*n**3 + 2270*n**3 - 19634886*n**2 - 17*n**4 + 6*n**4 + 4777*n**3 - 10709131895361 + 10*n**4 + 23679672516*n.
-(n - 1809)**4
Find f such that -15*f**2 - 2084 + 4*f**3 - 11*f**3 + 2084 + 21*f**2 + 16*f = 0.
-8/7, 0, 2
Suppose 23 - 7 = 8*h. What is b in 56*b**2 - 9*b**3 - 68*b - 196*b**h + 75*b**2 - 12 = 0?
-6, -1, -2/9
Let h be 1 - 0/(4/4). Let o be (-1)/(h + 36/(-32)). Factor -9 + 369*q + 4*q**3 + o*q**2 + 1 - 373*q.
4*(q - 1)*(q + 1)*(q + 2)
Let f(o) be the third derivative of -o**7/2520 + o**6/360 + o**5/90 + 7*o**3/2 - 23*o**2. Let u(a) be the first derivative of f(a). Factor u(q).
-q*(q - 4)*(q + 1)/3
Suppose -794*u - 915 = -8263 + 202. Factor 3/2*y**2 + 21/2*y + u.
3*(y + 1)*(y + 6)/2
Let r = -3 - -3. Let m be -3 + (8 - 25 - -20). Determine o so that 4/3*o**4 + 0*o**2 + r*o + m - 2/3*o**3 + 2*o**5 = 0.
-1, 0, 1/3
Factor 4920*f - 198*f**3 - 201*f**3 + 395*f**3 - 1326*f**2 - 3590*f**2.
-4*f*(f - 1)*(f + 1230)
Let s(o) = o**3 + 120*o**2 + 1635*o - 3004. Let c be s(-104). Factor c*d**2 + 15/4 + 3*d**3 - 57/4*d.
3*(d + 5)*(2*d - 1)**2/4
Let o(r) be the second derivative of -r**10/151200 - r**9/37800 + 17*r**4/12 - r**3/6 + 11*r + 3. Let k(n) be the third derivative of o(n). Factor k(y).
-y**4*(y + 2)/5
Suppose 5*t + 4 + 6 = 0. Let d(n) = 193*n**2 - 9*n - 1. Let u be d(t). Determine p so that -36 - 6*p**4 - 88*p**2 + u*p - 32*p**3 + 2*p**4 - 885*p = 0.
-3, -1
Let r be -6 - 56/1176*-156. Determine l so that -1/7*l**3 - 3/7*l - r + 6/7*l**2 = 0.
-1, 2, 5
Let f be ((-44)/(-16))/((-11)/(-22)) + -4. Find r such that f*r**2 + 0*r + 0 + 1/10*r**3 = 0.
-15, 0
Suppose 17*g = 1554 + 7150. Determine z so that 37*z**3 - g + 384*z - 72*z**2 - 15*z**3 - 18*z**3 = 0.
2, 8
Let t(y) = -y**3 - 9*y**2 - 11*y - 21. Let b be t(-8). Solve 3*p**3 - 2*p**3 - 2 + 18*p**2 - 33*p - 4*p**b + 20 = 0 for p.
1, 2, 3
Let l(h) be the second derivative of h**6/60 - 197*h**5/40 + 1633*h**4/4 - 2303*h**3/3 - 4802*h**2 - 3*h - 171. What is p in l(p) = 0?
-1, 2, 98
Factor 1045458/13 + 2/13*f**2 - 2892/13*f.
2*(f - 723)**2/13
Let w(u) = 3*u**3 - u**2 + u - 1. Let a be w(1). Find q, given that -6*q + 187*q**2 + a*q + 3 - 186*q**2 = 0.
1, 3
Let b(d) be the second derivative of 1/40*d**5 + 23*d + 3/2*d**3 + 11*d**2 + 0 - 7/16*d**4. Let j(n) be the first derivative of b(n). Let j(z) = 0. What is z?
1, 6
Factor 26*v**2 + 1049*v**3 - 60*v - 2046*v**3 + 995*v**3.
-2*v*(v - 10)*(v - 3)
Let r(w) be the third derivative of 2*w**8/105 - 4232*w**7/525 - 10703*w**6/300 + 1024*w**5/25 - 267*w**4/20 - 5876*w**2. What is o in r(o) = 0?
-3, 0, 1/4, 267
Suppose 23*h = 19*h + 3520. Let u = h + -14952/17. Factor 2/17 - u*t + 8/17*t**2.
2*(2*t - 1)**2/17
Let c(n) = 133*n**3 - 3*n**2 + 14. Let y be c(-2). Let v be y/(-11) + (-10)/220*12. Factor 3/2*t**2 - 24*t + v.
3*(t - 8)**2/2
Let x(v) be the third derivative of -9/2*v**3 + 0 + 11/8*v**4 - 1/10*v**5 + 16*v**2 + 0*v. Factor x(a).
-3*(a - 1)*(2*a - 9)
Let t be (50/5 + -4)*(-209)/33. Let x(g) = -g**2 - 40*g - 73. Let w be x(t). Factor 27/4*q**2 - 3/4*q**4 + 81 - 15/4*q**w + 243/4*q.
-3*(q - 4)*(q + 3)**3/4
Let b(t) be the third derivative of t**8/5040 - t**7/1260 - t**6/6 - 13*t**5/60 + 2*t**2. Let g(i) be the third derivative of b(i). Factor g(p).
4*(p - 6)*(p + 5)
Let p be (-1397)/3429*(-30)/55. Find k such that 0*k - 2/9*k**2 + p = 0.
-1, 1
Let q = 314 + -307. Let h(l) be the third derivative of 1/210*l**5 - q*l**2 + 0 - 1/21*l**3 + 0*l + 0*l**4. Factor h(o).
2*(o - 1)*(o + 1)/7
Let c(a) be the first derivative of -32*a**3/3 + 434*a**2 - 1608*a - 2239. Factor c(b).
-4*(b - 2)*(8*b - 201)
Suppose -5*c + 4*u = 1140, -5*c + c - u - 933 = 0. Let w = c + 237. Factor 0 + 0*t + 18/5*t**w + 4/5*t**3 + 0*t**2 - 22/5*t**4.
2*t**3*(t - 1)*(9*t - 2)/5
Suppose -3*b + 9*h + 15 = 6*h, 6 = -2*h. Factor 125*x**b + 6*x - 17*x - 12*x**3 + 57*x**3 - 19*x.
5*x*(x + 3)*(9*x - 2)
Let w be (2 - -74)*(-496)/(-1488). Suppose 3*h**2 + 2/3*h + w*h**4 + 0 - 29*h**3 = 0. Calculate h.
-2/19, 0, 1/4, 1
Let c(b) be the first derivative of -1/18*b**3 + 1/6*b**2 - 112 + 0*b - 1/24*b**4. Factor c(f).
-f*(f - 1)*(f + 2)/6
Suppose -2*a + 4*w - 7*w = -14, 36 = 4*a + 4*w. Suppose a*m - 20*m = -6*m. Factor m - 3/2*s**2 + s.
-s*(3*s - 2)/2
Factor 112*g - 301*g - 23*g**3 - g**4 - 99*g**2 + 4*g**3 - 26 - 82.
-(g + 1)*(g + 3)**2*(g + 12)
Let j(l) be the first derivative of 385*l**4/4 + 771*l**3 + 3483*l**2/2 + 27*l + 9705. Determine h, given that j(h) = 0.
-3, -3/385
Let a(z) be the third derivative of 2/35*z**7 - 5/4*z**6 + 2 + 87/8*z**4 + 3/112*z**8 - 4*z**5 + 18*z**3 + 0*z - 30*z**2. Suppose a(t) = 0. What is t?
-3, -1/3, 1, 4
Suppose y - 5*n = 39, 10*y = 9*y - 2*n + 39. Factor 50*o - 52*o**2 + 46*o - o**4 - y + 12*o**3 - 25.
-(o - 4)**2*(o - 2)**2
Let -21*n**5 - 114*n**5 + 279*n + 436*n**2 + 10711*n**3 + 396*n**4 - 9511*n**3 + 482*n**2 + 30 = 0. Calculate n.
-1, -2/5, -1/3, 5
Suppose x + 3*g = 11, 0 = -4*g - 39 + 47. Let h(q) be the third derivative of 4*q**2 + 2 + 0*q + 3/160*q**x + 0*q**3 + 1/64*q**4. Find f, given that h(f) = 0.
-1/3, 0
Let s be 1604/52 + (-3645)/135. Find b such that -50/13*b**3 + 8/13*b**4 - s*b + 8/13 + 84/13*b**2 = 0.
1/4, 1, 4
Let -6/7*x**4 + 36/7*x**2 - 1/7*x**5 + 6 - 85/7*x + 2*x**3 = 0. What is x?
-7, -3, 1, 2
Let p(j) be the first derivative of j**6/90 - j**5/5 + 5*j**4/6 + 70*j**3/3 - 127. Let l(g) be the third derivative of p(g). Suppose l(c) = 0. Calculate c.
1, 5
Suppose 0 = 5*u + 2*n - 30 + 5, -u + 18 = 3*n. Factor 16*s - 7*s**2 + 5*s**3 + s**u - 5*s**2 - 15*s**3 + 5*s**3.
-4*s*(s - 1)*(s + 4)
Let g(h) be the third derivative of h**6/1320 - h**5/44 + 13*h**4/132 + 20*h**3/11 + 2786*h**2. Let g(v) = 0. What is v?
-2, 5, 12
Let c(t) be the third derivative of 118*t**2 + 0*t + 7/48*t**4 - 1/60*t**6 + 11/24*t**3 - 1/48*t**5 + 0. Factor c(y).
-(y + 1)**2*(8*y - 11)/4
Let j(q) be the first derivative of 4/3*q**3 + 2/3*q**4 - 9*q + q**2 - 11. Let y(v) be the first derivative of j(v). Factor y(w).
2*(2*w + 1)**2
Suppose 2*v = 1556 - 1536. Suppose 2*s - v = -3*d - 4, s = -2*d + 4. Factor -2/11*y + s - 2/11*y**2.
-2*y*(y + 1)/11
Let a be (3 + 0)/(2/(0 - -2)). Let h = -23/140 - -51/140. Suppose h*s + 1/10 - 1/5*s**a - 1/10*s**4 + 0*s**2 = 0. Calculate s.
-1, 1
Let v(f) be the second derivative of -f**7/245 - f**6/60 + f**5/35 + 84*f**2 - 26*f - 3. Let j(u) be the first derivative of v(u). Find c, given that j(c) = 0.
-3, 0, 2/3
Let d = 67 - 62. Suppose d*j - 20 = -0*j. Find u, given that -j + 9*u**2 - 195*u - 8*u**3 - 12*u**3 + 197*u + 13*u**2 = 0.
-2/5, 1/2, 1
Let p(g) = -2*g**2 + 3*g + 1. Let n(a) = a**3 + 172*a**2 + 5540*a - 55119. Let f(y) = 5*n(y) + 35*p(y). Factor f(l).
5*(l - 8)*(l + 83)**2
Let t(z) be the first derivative of 27*z**4/4 + 526*z**3 + 346*z**2 - 232*z - 3560. Suppose t(n) = 0. Calculate n.
-58, -2/3, 2/9
Let y(t) be the first derivative of -2*t**3/3 + 1230*t**2 - 2458*t - 6484. Determine c, given that y(c) = 0.
1, 1229
Suppose 15*x = 19*x - 20. Suppose 5*p = -h + 24, -h = 5*p - x*h - 4. Solve p - 2 - 2*r**2 - 78*r + 78*r = 0.
-1, 1
Let y(f) be the third derivative of 1/420*f**6 + 5/84*f**4 + 0*f + 2 - 5*f**2 + 2/21*f**3 + 2/105*f**5. Find p, given that y(p) = 0.
-2, -1
Let y(b) = -b**4 + 48*b**3 + 100*b**2 - 8*b + 8. Let f(k) = -2*k**4 + 46*k**3 + 100*k**2 - 6*k + 6. Let p(x) = 4*f(x) - 3*y(x). Factor p(w).
-5*w**2*(w - 10)*(w + 2)
Let q = -74 + 78. Let t be 2/(q + (-36)/10). Factor 19*l - 5 - 39*l - t*l**2 + 33 - 3.
-5*(l - 1)*(l + 5)
Let d be ((-338)/39)/(4/6). Let j(t) = 3*t + 45. Let b be j(d). Factor -2*a**3 + b*a**2 - 3*a - 8*a + a + 6*a.
-2*a*(a - 2)*(a - 1)
Factor 15/2*u**4 - 27/2*u - u**2 - 13/2 + 13*u**3 + 1/2*u**5.
(u - 1)*(u + 1)**3*(u + 13)/2
Let n(x) be the second derivative of -x**4/36 + 17*x**3/9 - 140*x**2/3 + 419*x + 2. Factor n(b).
-(b - 20)*(b - 14)/3
What is b in 0 + 20*b - 41/2*b**2 + 1/2*b**3 = 0?
0, 1, 40
Let j(g) = 5*g**2 + 5*g**2 - 71*g**3 + 18*g**3 - 8*g**2. Let y(r) = 52*r**3 - 3*r**2. Let b(h) = -2*j(h) - 3*y(h). Factor b(q).
-5*q**2*(10*q - 1)
Let g = -1291091047/1004349489 - -37/638493. Let r = 12/121 - g. Factor 2/13*n**5 - 10/13*n**4 + 4/13*n + 0 + r*n**3 - 14/13*n**2.
2*n*(n - 2)*(n - 1)**3/13
Let h(f) be the second derivative of -11*f**4/72 - 31*f**3/6 - 40*f**