 147*y - 727. Let t be s(13). Let p = -1182 + t. Let 0 - 2/19*c**3 + 0*c**p + 0*c + 2/19*c**4 = 0. What is c?
0, 1
Let i = 19 + -13. Suppose 48*c**3 - 21*c**2 - 15*c**4 - 63*c**3 + i*c + 3*c**5 + 42*c**3 = 0. Calculate c.
0, 1, 2
Suppose -25*p + 30*p = -5*d + 2105, 4*d + 848 = 2*p. Let x = 857/2 - p. Factor 15/2*g**2 - x*g**3 + 1/2 - 7/2*g + 2*g**4.
(g - 1)**3*(4*g - 1)/2
Let c(b) be the third derivative of 1/15*b**5 + 0*b**3 + 1/24*b**4 - 32*b**2 - 2/105*b**7 + b - 1/120*b**6 + 0. Factor c(f).
-f*(f - 1)*(f + 1)*(4*f + 1)
Let z = -502 - -504. Let j = 15 + -13. Factor -23*u**2 - z*u**j + 62*u - 52*u.
-5*u*(5*u - 2)
Suppose -18*a + i + 12 = -11*a, 0 = 5*a + 5*i - 20. Solve -4/3*m + 8/3*m**a - 8/3 + 4/3*m**3 = 0 for m.
-2, -1, 1
Determine d, given that -887104/7*d - 1336/7*d**3 - 225768/7*d**2 - 881792/7 - 2/7*d**4 = 0.
-332, -2
Let l be -6*9/270 + 1/5. Let x(a) be the second derivative of 1/40*a**5 + 14*a + 0*a**3 + 0*a**4 + 0*a**2 + l. Factor x(j).
j**3/2
Let d(v) = -5*v + 264. Let i be d(32). Suppose -n - 276 = -5*l, 3*n + 36 = -l + i. Determine x so that l + 2/7*x**2 + 8*x = 0.
-14
Let t(m) = -2*m**2 - 334*m + 336. Let p(y) = -2*y**2 - 334*y + 336. Let z(g) = 5*p(g) - 6*t(g). Factor z(q).
2*(q - 1)*(q + 168)
Let x be (12/(-21))/2 + (-516)/(-42). Let o be x/(7 + -7 + 1 + 1). Solve -o - 3*m**3 - 3*m**2 + 0 - 9*m**2 - 15*m = 0.
-2, -1
Let p be 9 + 121 + 0/2. Solve -3*n**3 - 78*n - 6*n**2 + 112*n - 24*n**2 - p*n - 96 = 0 for n.
-4, -2
Let k(h) = 4*h**2 + 18*h - 12. Let s = -3 + -7. Let z(c) = -c. Suppose 19*d - 12 = 22*d, -3*d = x + 13. Let v(m) = s*z(m) + x*k(m). Factor v(l).
-4*(l - 1)*(l + 3)
Let i(v) be the first derivative of -148877/7*v - 32 - 53/7*v**3 - 1/28*v**4 - 8427/14*v**2. Factor i(s).
-(s + 53)**3/7
Suppose 2*v - 18 = 4*t - 102, -t - v = -12. Let f(x) be the second derivative of 0 + 3/20*x**5 - 96*x**2 + t*x - 3*x**4 + 24*x**3. Factor f(u).
3*(u - 4)**3
Factor 16*i**2 + 4*i**3 - 2/3*i**4 + 52/3*i + 6.
-2*(i - 9)*(i + 1)**3/3
Let k be 24 - (-12)/(-16)*-4. Suppose 23*p = k*p. Factor -2/3*g**4 + p + 0*g**2 - 2*g**3 + 8/3*g.
-2*g*(g - 1)*(g + 2)**2/3
Let c = -3/1265 + 463/88550. Let b(t) be the third derivative of -1/75*t**5 + 0 + c*t**7 - 1/300*t**6 + 1/30*t**3 + 1/60*t**4 + 0*t - 7*t**2. Factor b(y).
(y - 1)**2*(y + 1)*(3*y + 1)/5
Determine w, given that -369630 + 370382 + 84*w**2 - 6316*w - 1588*w = 0.
2/21, 94
Let i = 58 + -49. Suppose -3*v + 3*g = -12, -5*g + 1 = -i. Factor -v*l**2 - 10 + 22*l + 2*l**3 - 3*l**2 - 5*l**2.
2*(l - 5)*(l - 1)**2
Let i(u) = -2*u**2 - 197*u - 195. Let x be i(-1). Factor -144/7*j + 6/7*j**2 + x.
6*j*(j - 24)/7
Let t(d) be the first derivative of -d**4/14 - 88*d**3/7 + 135*d**2/7 + 76*d - 5450. Factor t(r).
-2*(r - 2)*(r + 1)*(r + 133)/7
Factor 3972*o**2 - 57122 + 676*o - 7971*o**2 + 3997*o**2.
-2*(o - 169)**2
Let l(o) be the second derivative of 75*o + 0 + 1/2*o**3 + 1/36*o**4 + 4/3*o**2. Find j, given that l(j) = 0.
-8, -1
Let b(y) = 25*y**3 + 38*y**2 + 269*y - 800. Let z(d) = -11*d**3 - 21*d**2 - 134*d + 400. Let n(s) = -4*b(s) - 9*z(s). Factor n(g).
-(g - 40)*(g - 2)*(g + 5)
Suppose -18*o + 2588 = -5*w - 20*o, -3*o + 2568 = -5*w. Let g be w/(-1806)*((-42)/8)/(-3). Factor -5/2*a + g*a**2 - 3.
(a - 6)*(a + 1)/2
Let c(u) be the third derivative of u**5/15 - 9*u**4 + 636*u**2. Factor c(z).
4*z*(z - 54)
Let w(m) = -3*m - 75. Let p be w(-31). Factor -p*q**3 + 14*q**3 - 10*q**2 + 25*q**4 + 19*q**3.
5*q**2*(q + 1)*(5*q - 2)
Let y be 19/5 - 28/35. Let 4*v**y - 4*v**2 + 148 - 16*v + 0*v**3 - 132 = 0. What is v?
-2, 1, 2
Let a(j) = -622*j + 8710. Let g be a(14). Suppose 2/3*b + 1/3*b**g - 8/3 = 0. What is b?
-4, 2
Let q(f) be the third derivative of f**5/15 - 451*f**4/6 + 210*f**2 - 5*f. Find h, given that q(h) = 0.
0, 451
Let f = -223093 + 1784801/8. Suppose -27/4*k - 3/4*k**3 + f - 117/8*k**2 = 0. Calculate k.
-19, -1, 1/2
Let q be 4/12 + 10/15 - 1. Let h(a) be the third derivative of 0*a + 19/24*a**4 + 1/24*a**6 + q + 11*a**2 + 3/10*a**5 + a**3. Let h(m) = 0. What is m?
-2, -1, -3/5
Let y = -883503/5 + 176702. Suppose p**2 + y - 1/5*p**3 + 13/5*p = 0. What is p?
-1, 7
Let k be 7668/(-81)*(-114)/(-20). Let d = 540 + k. Let 2/5 - 4/5*c + d*c**2 = 0. What is c?
1
Let t = -420 - -422. What is r in -r**4 + 115366*r - 4*r**4 + 20 - 115346*r - 20*r**3 - 15*r**t = 0?
-2, -1, 1
Let g(n) be the second derivative of -n**5/25 + 43*n**4/15 - 176*n**3/3 - 968*n**2/5 + 1728*n. Solve g(f) = 0.
-1, 22
Suppose 59*f - 70*f = 75*f - 258. Let l(r) be the third derivative of 1/30*r**5 + 0*r - 10*r**2 + 8/3*r**f + 0 - 1/2*r**4. Let l(k) = 0. Calculate k.
2, 4
Let k(a) be the first derivative of -16*a**3 + 2409*a**2/2 - 450*a - 1531. Find c, given that k(c) = 0.
3/16, 50
Let x = 1640 - 1570. Let s be 5*16/36*63/x. Factor 4/3*m - 20/3*m**s + 3*m**3 + 0.
m*(m - 2)*(9*m - 2)/3
Let g(a) = 2*a**3 + a**2 - a + 3. Let u(s) = -7*s**3 - 91*s**2 + 2164*s - 11212. Let p(w) = 4*g(w) + u(w). Suppose p(i) = 0. What is i?
7, 40
Let y(i) = -25*i**3 + 269*i**2 - 677*i + 389. Let t(q) = 37*q**3 - 404*q**2 + 1016*q - 584. Let f(a) = -5*t(a) - 8*y(a). What is r in f(r) = 0?
4/5, 4
Suppose -4*x - 5*h = -4*h - 16, -x = -5*h - 4. Let i(j) be the third derivative of 0 - 1/3*j**5 + 0*j + 3*j**2 + 0*j**x + 1/24*j**6 + 0*j**3. Factor i(z).
5*z**2*(z - 4)
Let y(j) = j**2 + 25*j + 73. Let v be y(36). Let v*u + u**2 - 5*u**2 - 2165*u - 676 = 0. Calculate u.
13
Let d be -8 + 13 + -4 - 2745/(-315). Suppose -2/7*n**2 + d + 30/7*n = 0. Calculate n.
-2, 17
Let a = -2553 + 2553. Let u(l) be the third derivative of a*l + 0 - 1/150*l**5 - 1/300*l**6 - 15*l**2 + 1/60*l**4 + 1/15*l**3. Suppose u(c) = 0. Calculate c.
-1, 1
Suppose -40*p - 5396 + 5556 = 0. Let 8/5 - 24/5*i + 18/5*i**p - 26/5*i**2 + 38/5*i**3 - 14/5*i**5 = 0. What is i?
-1, 2/7, 1, 2
Let a = -556 - -3894/7. Let h be (-1)/(0 + 1/2 - 1). Find j such that -4/7*j**3 + 0 - a*j**4 - 2/7*j**h + 0*j = 0.
-1, 0
Let n(p) be the first derivative of -2*p**3/15 - 4926*p**2/5 - 12132738*p/5 - 2746. Factor n(y).
-2*(y + 2463)**2/5
Suppose 0 = -4*c - 4, -5*c + 55 = 3*g. Factor 5*q**2 - q**2 + 122 + g*q + 116 - 222.
4*(q + 1)*(q + 4)
Let g be (115/(-10) - -7) + -1 + 112/(-14) + 14. Solve -2 - 13/2*h**2 - g*h**4 + 3*h**3 + 6*h = 0.
1, 2
Suppose 0 = -11*b - 6 + 94. Let c be b/34 + -25 + 8 + 17. Factor 22/17*s - 26/17*s**2 + c.
-2*(s - 1)*(13*s + 2)/17
Determine u, given that 11*u**4 - 52/3*u - 157/3*u**3 - 16 + 220/3*u**2 = 0.
-1/3, 12/11, 2
Let a(z) be the third derivative of -z**6/165 + 29*z**5/330 - z**4/33 - 7*z**3/11 + 5*z**2 + z + 190. Let a(o) = 0. Calculate o.
-3/4, 1, 7
Let d(f) be the second derivative of -9*f - 4 - 1/6*f**4 + 1/10*f**5 - 1/75*f**6 - 1/3*f**3 + 6/5*f**2. Suppose d(t) = 0. Calculate t.
-1, 1, 2, 3
Factor -3 + 34*d + 1363*d**3 + 3 - 1325*d**3 - 70*d**2 - 2*d**4.
-2*d*(d - 17)*(d - 1)**2
Let x = 2528707/4 - 632176. Determine y so that 3/4*y**5 + 6 + x*y**3 + 21/2*y**2 - 3*y**4 - 15*y = 0.
-2, 1, 2
Let v(t) be the second derivative of -t**5/4 + 155*t**4/6 - 590*t**3/3 + 580*t**2 + t + 494. Let v(k) = 0. What is k?
2, 58
Let i(m) = 138*m + 48. Let a be i(3). Let q be (a/(-10))/(88/(-110)). Determine u, given that 3 + 147/4*u**3 + q*u**2 + 24*u = 0.
-1, -2/7
Let w be (15 + 1692/(-114))*182/(-6) + 22/2. What is g in -2/19*g**5 + 144/19 - 28/19*g**4 - w*g**3 - 116/19*g**2 + 120/19*g = 0?
-6, -2, -1, 1
Let l be (4 + -2 + 2)*1. Suppose 3*s = -0*s + 6. Factor -3*o - o**l - o**3 + 3*o - 5*o**2 + 7*o**s.
-o**2*(o - 1)*(o + 2)
Let o = 264 + -257. Let z(p) be the third derivative of 3/56*p**4 - 1/7*p**3 + 0 + 1/140*p**5 - 3/280*p**6 + 0*p + p**2 + 1/490*p**o. Factor z(v).
3*(v - 2)*(v - 1)**2*(v + 1)/7
What is u in 53461*u + 186*u**2 - 54275*u + 4*u**3 + 132*u**2 + 492 = 0?
-82, 1, 3/2
Let x(w) be the first derivative of -5/6*w**6 + 0*w**5 + 0*w**3 + 25/2*w**4 + 0*w - 45/2*w**2 - 110. Let x(v) = 0. Calculate v.
-3, -1, 0, 1, 3
Let m(x) be the third derivative of -11*x**6/180 + 19*x**5/90 - 5*x**4/36 - x**3/3 + 1491*x**2 - x. Determine g, given that m(g) = 0.
-3/11, 1
Let q(a) = 3*a**2 - 8*a - 2. Let k(v) = -v**2 + 6*v. Let l be k(5). Let g be q(l). Determine d so that 12 - 28 + 10*d**2 - 3*d - g*d = 0.
-2/5, 4
Let n(k) = -53*k + 98*k + 3*k**2 - 75*k - 29. Let v(u) = 5*u**2 - 60*u - 55. Let m(d) = 5*n(d) - 2*v