+ 1/7*t**3 + 284/7.
(t - 4)*(t - 1)*(t + 71)/7
Let h = 1429 - 1424. Let a(g) be the third derivative of 0*g - 1/10*g**h + 0 + 3/8*g**4 + 0*g**3 - 1/40*g**6 - 20*g**2. Factor a(x).
-3*x*(x - 1)*(x + 3)
Factor -2*w**2 - 93*w - 81*w - 15 + 132*w - 25 + 0*w**2.
-2*(w + 1)*(w + 20)
Let o(t) = -t**3 + 5*t**2 + 294*t + 120. Let g be o(20). Let l(s) be the first derivative of g*s**2 + s**4 - 2 + 0*s - 8/3*s**3. Solve l(i) = 0 for i.
0, 2
Let c = -2727851/5 + 545571. Suppose 8/15*m**3 - 2/15*m + 4/15 + 8/15*m**4 - 2/5*m**5 - c*m**2 = 0. What is m?
-1, -2/3, 1
Let w(n) = 21*n**3 - 2055*n**2 + 2025*n. Let k(z) = -5*z**3 + 513*z**2 - 506*z. Let d(i) = -9*k(i) - 2*w(i). Suppose d(j) = 0. What is j?
0, 1, 168
Let y(l) = l**3 - 6*l**2 + 10*l - 2. Let x be y(4). Factor -26 + 6 + 20*t + 0*t + t**2 - x*t**2.
-5*(t - 2)**2
Let q(s) = -2*s**3 + s**2 + s + 1. Let f(i) = 285*i**2 + 18*i**3 - 20*i - 145*i**2 - 6 - 142*i**2. Let z(m) = f(m) + 10*q(m). Factor z(x).
-2*(x - 2)*(x - 1)**2
Suppose 3*o + 147 = 2*p, 2*o - p + 6*p + 98 = 0. Let i = -19 - o. Factor i*y**2 + 49 - 149 + 13*y**2 - 60*y - 4*y**3 - 7*y**2.
-4*(y - 5)**2*(y + 1)
Let u(p) be the first derivative of -p**4/6 + 14*p**3 + 184*p**2 + 2272*p/3 - 5548. Factor u(d).
-2*(d - 71)*(d + 4)**2/3
Let x(t) be the third derivative of -3/2*t**3 + 8/21*t**4 - 198*t**2 + 0*t - 1/420*t**5 + 0. Factor x(u).
-(u - 63)*(u - 1)/7
Suppose 4*g = -2*u + 2594, 703 - 2645 = -3*g - 5*u. Suppose 706 = w - g. Factor 43 + 55*v + 35*v**2 - 18 + 1360*v**3 - w*v**3.
5*(v + 1)**2*(v + 5)
Let f(i) be the second derivative of -30*i**3 + 5/12*i**4 + 2 + 21*i + 810*i**2. Find n such that f(n) = 0.
18
Suppose 6 = 2*v - 2. Let i(d) = -7*d**2 + v*d**2 + 2*d**2 - 1 + d. Let q(g) = g - 5. Let y(w) = 3*i(w) - 3*q(w). Factor y(p).
-3*(p - 2)*(p + 2)
Let s(l) be the second derivative of 0*l**2 + 9/20*l**5 - 1/35*l**7 + 0*l**3 + 3 + 12*l + 0*l**4 + 13/50*l**6. Factor s(u).
-3*u**3*(u + 1)*(2*u - 15)/5
Let r(a) be the first derivative of 1/144*a**6 + 13 - 7/360*a**5 - a**2 - 1/18*a**4 + 0*a + 1/9*a**3. Let x(w) be the second derivative of r(w). Factor x(v).
(v - 2)*(v + 1)*(5*v - 2)/6
Let a = -29817/20 - -5965/4. Let 12/5 + 14/5*o + a*o**2 = 0. Calculate o.
-6, -1
Find h, given that 178*h**3 + 11564 + 509*h - 4009*h + 292*h**2 + 102*h**3 - 284*h**3 = 0.
7, 59
Suppose -2152/19 + 2674/19*q**2 - 18/19*q**5 + 4878/19*q**4 + 4312/19*q - 9694/19*q**3 = 0. What is q?
-2/3, 2/3, 1, 269
Suppose -2*o = -3*k + 19, k = 4*o + 30 - 7. What is q in q**k - 139*q - 33*q**2 + 502*q - 1331 + 0*q**3 = 0?
11
Let m = 367 - 268. Solve -52*q**2 + 120*q - 43*q**2 + 900 + m*q**2 = 0 for q.
-15
Let c(t) be the second derivative of -t**5/25 - t**4/15 + 84*t**3/5 + 144*t**2 - 2976*t. Solve c(y) = 0.
-10, -3, 12
Let t(i) be the second derivative of i**4/9 - 20*i**3/9 + 6*i**2 + 4742*i. Factor t(b).
4*(b - 9)*(b - 1)/3
Let s be 1/(4/(-34))*304/(-10336). Find b such that -1/6*b**5 - 7/12*b**2 + 0 + s*b**4 + b**3 - 1/2*b = 0.
-2, -1/2, 0, 1, 3
Suppose 0 = 20*j - 0*j - 80. Suppose 0 = -j*w + a + 11, -10*a + 21 = 6*w - 13*a. Factor -4/9*l**w - 2/9*l + 2/3.
-2*(l - 1)*(2*l + 3)/9
Let n(c) be the first derivative of 0*c**2 + 1/60*c**6 + 1/24*c**4 + 0*c**3 + 30 - 21*c + 1/20*c**5. Let g(l) be the first derivative of n(l). Factor g(b).
b**2*(b + 1)**2/2
Let z(v) be the third derivative of v**7/21420 - 3*v**6/680 + 13*v**5/510 + 7*v**4/24 - 19*v**2 + 2. Let a(y) be the second derivative of z(y). Factor a(j).
2*(j - 26)*(j - 1)/17
Suppose -333*i + 270 + 172 = -224. Factor 1445/4 + 45*b**i + 255*b.
5*(6*b + 17)**2/4
Suppose 3*t - 21 = 12*a - 15*a, 23 = 5*t + 2*a. Let q(u) = -u**2 - 5*u. Let p be q(-5). Factor -i - i**2 - 4*i + p*i - t*i.
-i*(i + 8)
Factor 185*x**3 + 76880 - 1844*x**3 + 35885*x**2 + 45*x**4 + 21588*x - 1011*x**3 + 88772*x.
5*(x - 31)**2*(3*x + 4)**2
Let u(k) be the first derivative of 2*k**2 + 4*k + 27. Let c be u(6). What is o in c*o - 10*o**2 - 13*o - 5*o**3 - 8*o - 12*o = 0?
-1, 0
Let v be 4 - (-2 + -4) - -3*1. Let d(k) = -2*k + 1 + v*k + 0 - 10*k. Let m(p) = p**2 + 2*p + 1. Let c(n) = -20*d(n) + 5*m(n). Factor c(r).
5*(r - 3)*(r + 1)
Let j = 81608/9 + -9066. Let j*s - 20/9 - 2/9*s**2 = 0. Calculate s.
2, 5
Suppose -g + 48 = 3*h, -3*g - 19 = h - 43. Determine b so that 2/5*b**2 + 0*b + 1/5*b**g + 0 = 0.
-2, 0
Find p such that -11 - 178 + 43*p**2 - 144 + 3*p**3 + 74*p**2 + 213*p = 0.
-37, -3, 1
Let c(b) = -2*b**4 + 5*b**3 - 39*b**2 + 72*b. Let j(m) = -3*m**4 + 6*m**3 - 39*m**2 + 72*m. Let v(u) = -8*c(u) + 6*j(u). Factor v(s).
-2*s*(s - 3)**2*(s + 8)
Let a(r) = 6*r**2 - 6*r. Let g(d) = -8*d + 24*d - 8*d - 9*d + d**3. Let f(n) = 2*a(n) + 4*g(n). Factor f(q).
4*q*(q - 1)*(q + 4)
Determine u, given that -3/4*u**5 + 5577/4*u + 87/4*u**4 + 3267/4 + 723/2*u**2 - 387/2*u**3 = 0.
-1, 9, 11
Let r(f) be the third derivative of f**7/140 - 403*f**6/240 + 11*f**5/10 + 67*f**4/12 + 2*f**2 + 551. Let r(u) = 0. What is u?
-2/3, 0, 1, 134
Let d(q) = 2*q - 84. Let k be d(39). Let c(x) = -5*x**2 + 12*x + 20. Let u(o) = 4*o**2 - 11*o - 18. Let g(r) = k*u(r) - 5*c(r). Factor g(s).
(s + 2)*(s + 4)
Solve -4656*k - 4/7*k**2 - 9484272 = 0.
-4074
Let v(q) be the second derivative of q**4/102 + 9*q**3/17 + 50*q**2/17 - 68*q. Factor v(y).
2*(y + 2)*(y + 25)/17
Factor 50170*k**2 - 25086*k**2 - 25080*k**2 + 820*k.
4*k*(k + 205)
Determine r so that 25*r**4 - 19*r**3 + 1025*r - 11*r**4 - 29*r**3 + 9727*r**2 - 9857*r**2 - r**5 - 1500 = 0.
-4, 3, 5
Let d(h) = -2*h + 53. Let q be d(25). Find w, given that -11*w**3 + 15*w**5 - 5*w**4 - 12*w**3 + 13*w**q = 0.
-2/3, 0, 1
Let y be ((-2)/8 - 43/20)*3065/(-1226). Suppose -y*d + 17/3 + 1/3*d**2 = 0. What is d?
1, 17
Let i be 9*-2*3/261. Let b = -1/145 - i. Factor 6/5*x - b - x**2.
-(x - 1)*(5*x - 1)/5
Let l(c) be the first derivative of 1/2*c**4 - c**2 + 2*c**3 - 65 - 2/5*c**5 - 4*c. Find w such that l(w) = 0.
-1, 1, 2
Let u(s) = 499*s - 62. Let q be u(2). Let x = 1873/2 - q. Determine h so that -x*h**2 + 1/2 - 1/4*h + 1/4*h**3 = 0.
-1, 1, 2
Let n(z) = -z + 14. Let v be n(10). Suppose 3*o + 33 = 6*o + r, 0 = o - v*r + 2. Factor -7*k**5 + 2*k**5 + 5*k - o*k**4 + 13*k**2 - 4*k**2 + k**2.
-5*k*(k - 1)*(k + 1)**3
Let c be ((-13)/7 + 2)*133/38. Let j(a) be the first derivative of -1/2*a**4 + 0*a**3 + 0*a**5 + 0*a + 1/6*a**6 - 4 + c*a**2. Factor j(p).
p*(p - 1)**2*(p + 1)**2
Let l(d) = d**3 - 7*d**2 - 6*d + 27. Let n be l(13). Let m = n - 5777/6. Factor -1/6*w**3 - 1/6 + 1/6*w + m*w**2.
-(w - 1)**2*(w + 1)/6
Suppose -69*i = -58*i. Determine l, given that -9/2*l + 5/2*l**3 - 1/2*l**4 - 3/2*l**2 + i = 0.
-1, 0, 3
Suppose 1861*b + 4030 = 1856*b. Let v = b - -811. Determine a so that 2/3*a**v - 4/3 + 2*a - 8/3*a**3 + 4/3*a**2 + 0*a**4 = 0.
-2, -1, 1
Suppose 0 = -5*t + 5*j + 15, -5*t - 15 = -10*t - 3*j. Factor 0 + 23/3*s - 1/3*s**t - 22/3*s**2.
-s*(s - 1)*(s + 23)/3
Factor 0*u**4 - 648/7*u**2 - 3/7*u**5 + 729/7*u + 0 + 162/7*u**3.
-3*u*(u - 3)**3*(u + 9)/7
Let t(r) = -1014*r - 756*r + 9244 + 36*r**2 + 646*r. Let j(g) = -4*g**2 + 125*g - 1027. Let p(d) = 28*j(d) + 3*t(d). What is a in p(a) = 0?
16
Let j be 285495/(-165) - 9/(-33). Let c = 1732 + j. Solve 54 + 3/8*s**c - 9*s = 0.
12
Let h(u) = 9*u**2 + 3*u. Let k(p) = p**2 + p - 1. Let g = -6 + 36. Let o = g + -42. Let n(f) = o*k(f) + h(f). Solve n(y) = 0.
-4, 1
Let q(d) be the first derivative of d**5/20 - 17*d**4/8 - 9*d**3 - 3*d**2/2 + 8*d - 9. Let g(t) be the second derivative of q(t). Solve g(m) = 0 for m.
-1, 18
Suppose 1547 = 478*a + 604 - 1447. Find l, given that 2/21*l**a + 0*l**2 + 4/7*l**3 + 0*l - 10/21*l**4 + 0 = 0.
0, 2, 3
Let s = 458217/1260490 + 13/114590. Let b = -10/259 - -4772/2849. Factor s*r + 0 + 14/11*r**3 - b*r**2.
2*r*(r - 1)*(7*r - 2)/11
Let c be (6/(-27))/(-1) + (-10925)/(-45). Let l = c + -485/2. Determine h, given that 5/2*h - l*h**4 + 0 - 5/2*h**3 + 1/2*h**2 = 0.
-5, -1, 0, 1
Suppose -3*c - 332 = -7*c. Let h = -412/5 + c. Factor 6/5 + h*t**3 + 3*t + 12/5*t**2.
3*(t + 1)**2*(t + 2)/5
Let c(k) be the second derivative of 9*k**4/4 - 31*k**3/2 - 30*k**2 - 1279*k - 2. Factor c(x).
3*(x - 4)*(9*x + 5)
Let s(x) be the second derivative of 14*x**6/45 + 13*x**5/10 + 19*x**4/18 - 2*x**3/3 + 11*x + 38. Solve s(d) = 0.
-2, -1, 0, 3/14
Suppose 3*i - 3 = -3*t + 15, t - 5 = 0. Suppose i = -3*c + 4. Let p(d) 