2 + 40*o**3.
-5*(o - 2)**2*(o + 7)
Suppose -2*i - 4 - 26 = 4*u, 0 = i + 3*u + 12. Let o = i - -25. Determine n so that -2*n**3 + 2*n - 5*n**2 - n**3 - 2*n**3 + 3*n + 5*n**o = 0.
-1, 0, 1
Let j be (-36)/(-120) + 2252/(-440) + 5. Factor 0*x + 0 - j*x**2 - 2/11*x**3.
-2*x**2*(x + 1)/11
Solve 109 + 184*o**2 + 132*o + 58*o**3 + 62*o**3 + 36*o**4 + 109 - 182 + 4*o**5 = 0 for o.
-3, -1
Suppose 4*p + 2 + 1 = -x, -3*p - 21 = -3*x. Let k(u) be the second derivative of 1/130*u**x - 1/13*u**3 + 2/13*u**2 + 0*u**4 - 7*u + 0. Factor k(m).
2*(m - 1)**2*(m + 2)/13
Let -6160*l**2 - 162 + 5 - 3 - 7250*l**4 + 625*l**5 + 10600*l**3 + 1616*l = 0. What is l?
2/5, 10
Suppose 4*o = 16*o - 288. Let m be 25/6 + (-4)/o. Find z such that 0*z + 0 + 0*z**2 - 1/4*z**3 + 1/4*z**m = 0.
0, 1
Let f = -41 - -38. Let p(i) = i**3 + 3*i**2 - 2*i - 4. Let m be p(f). Solve 34/3*v**4 + 14*v**3 + 0 + 10/3*v**5 + 22/3*v**m + 4/3*v = 0 for v.
-1, -2/5, 0
Let n(f) be the first derivative of -f**6/6 - 16*f**5/15 - 2*f**4 + 8*f**2/3 + 12. Factor n(i).
-i*(i + 2)**3*(3*i - 2)/3
Let w(q) be the second derivative of 0*q**4 + 0 + 6*q - 1/180*q**5 + q**2 + 1/18*q**3. Let m(i) be the first derivative of w(i). Factor m(z).
-(z - 1)*(z + 1)/3
Let o(i) = 3*i**3 + i**2 - 4. Let m be o(2). Factor 4 + 35*v - 15*v**2 + 5*v - m.
-5*(v - 2)*(3*v - 2)
Suppose j - 3*k + 4*k + 21 = 0, 4*j + 5*k = -88. Let x = -15 - j. Factor -3*f**3 + 0*f**2 - f**2 - x*f**2.
-3*f**2*(f + 1)
Suppose 5*a + 100 = 5*v, a - 4*a + 9 = 0. Suppose 19 = -i + v. Solve -32/7 - 264/7*n**2 - 176/7*n - 148/7*n**3 - 4*n**i = 0 for n.
-2, -1, -2/7
Let w = -11914/5 - -2387. Factor 24/5 - w*v - 3/5*v**2.
-3*(v - 1)*(v + 8)/5
Let h(l) be the first derivative of l**4/2 + 10*l**3 - l**2 - 30*l + 27. Find y such that h(y) = 0.
-15, -1, 1
Let g be (6 + -2)*(0 - -1). Factor -8*z**4 + z**4 + 0*z**g + 2*z**4.
-5*z**4
Let h = -1/2655 - -3541/2655. Let n(w) be the second derivative of -5/6*w**4 - 1/5*w**5 + 13*w + 0 - h*w**3 - w**2. Let n(f) = 0. Calculate f.
-1, -1/2
Let f(a) = -8*a**4 + 803*a**3 - 19992*a**2 + 19197*a + 11. Let x(l) = 2*l**4 - 201*l**3 + 4998*l**2 - 4799*l - 3. Let w(h) = -6*f(h) - 22*x(h). Factor w(u).
4*u*(u - 49)**2*(u - 1)
Let i(x) = 47*x**2 + 25*x + 29. Let w(v) be the second derivative of 4*v**4/3 + 4*v**3/3 + 5*v**2 + 25*v. Let g(d) = 6*i(d) - 17*w(d). Factor g(l).
2*(l + 1)*(5*l + 2)
Let a(m) be the second derivative of -m**5/10 + 8*m**4/3 - 85*m**3/3 + 150*m**2 - 159*m. Factor a(i).
-2*(i - 6)*(i - 5)**2
Suppose 0 = 16*z - 18*z. Let b be (-450)/(-240)*(z + (-2)/(-5)). Factor -1/2*j + 1/4 - b*j**2.
-(j + 1)*(3*j - 1)/4
Let y be 1 + 2 + 16 + -17. Let -12*g**2 - 10*g**4 - 2*g**y - 4*g**3 + 10*g**2 + 14*g**2 + 4*g = 0. What is g?
-1, -2/5, 0, 1
Let g(d) be the second derivative of d + 1/9*d**4 + 0 + 4/45*d**6 + 0*d**3 - 1/6*d**5 + 0*d**2 - 1/63*d**7. Suppose g(v) = 0. What is v?
0, 1, 2
Suppose 0 = 2*q - 4 + 20. Let z = 8 + q. Factor 0*a + 2*a**2 - 2*a + z*a**2.
2*a*(a - 1)
Let l(f) be the third derivative of -4/3*f**3 + 3*f**2 - 1/3*f**4 + 0*f + 0 - 1/30*f**5. Solve l(s) = 0 for s.
-2
Let f(t) be the second derivative of t**6/30 + t**5/4 + t**4/2 - 2*t**3/3 - 4*t**2 + 176*t. Factor f(l).
(l - 1)*(l + 2)**3
Suppose 5*j - y - 12 = 0, j + 2 = 4*y - 6*y. Let d = j - -1. Factor -2*u**2 - 4*u + 12*u - 3 - d.
-2*(u - 3)*(u - 1)
Suppose -13*r = 3*b - 14*r - 9, 4*r = -5*b + 49. Factor 32/5*m + 66/5*m**3 - 4*m**4 + 0 + 2/5*m**b - 16*m**2.
2*m*(m - 4)**2*(m - 1)**2/5
Let 10/13*x - 2/13*x**2 + 0 = 0. What is x?
0, 5
Let w(p) be the second derivative of -p**4/12 - 2*p**3 - 10*p**2 + 545*p. Factor w(v).
-(v + 2)*(v + 10)
Let w(o) be the second derivative of -o**4 - 1/20*o**5 - 8*o**3 - 8*o + 0 - 32*o**2. Suppose w(f) = 0. Calculate f.
-4
Let x(o) be the first derivative of -3*o**4/4 + 7*o**3 - 24*o**2 + 36*o + 90. Let x(j) = 0. What is j?
2, 3
Suppose 0*r = -5*r + 4*r - 21*r. Factor r*c**4 + 0*c**2 + 0 + 2/13*c + 2/13*c**5 - 4/13*c**3.
2*c*(c - 1)**2*(c + 1)**2/13
Suppose -117 = -m + 4*d - d, 0 = 5*m + d - 553. Determine o, given that -o**3 + 111 + 5*o**2 - 4*o**3 - m = 0.
0, 1
Solve 18 - 11*j + 8*j**3 - 36*j**2 - j + 23*j**2 - 9*j**2 = 0.
-1, 3/4, 3
Suppose -18 = 8*o - 11*o. What is r in -9 - 3*r + 15*r**2 - o*r - 2*r + 5*r = 0?
-3/5, 1
Let k be (312/(-280) + 1)*35/(-5). Factor k*m + 2/5 + 2/5*m**2.
2*(m + 1)**2/5
Let n(i) be the second derivative of -i**5/180 + i**4/6 - 2*i**3 - 13*i**2 - 12*i. Let a(g) be the first derivative of n(g). Let a(t) = 0. Calculate t.
6
Let h be (-6)/(-24) + -4 + 161/28. Suppose 2/7*x + 1/7 + 1/7*x**h = 0. What is x?
-1
Suppose -11*v = 49*v - 23 - 97. Factor 3/5*k**3 + 24/5 + 36/5*k + 18/5*k**v.
3*(k + 2)**3/5
Let u(y) be the second derivative of 2*y**6/105 - 3*y**5/35 + 8*y**3/21 - 43*y - 2. Factor u(r).
4*r*(r - 2)**2*(r + 1)/7
Let u = 1392 + -1392. Factor -2*l**4 + 13/3*l**3 - 4*l**2 + 1/3*l**5 + 4/3*l + u.
l*(l - 2)**2*(l - 1)**2/3
Let p = 43/151 + 65/302. Factor 1/4*y**2 - p*y + 0.
y*(y - 2)/4
Solve 64*q - 4/5*q**5 + 192/5 - 4*q**4 + 0*q**3 + 32*q**2 = 0.
-2, 3
What is l in 63/2*l**3 + 69/2*l**2 + 15/2*l**4 + 0 - 3/2*l**5 + 12*l = 0?
-1, 0, 8
Let x(n) = -6*n**3 + n**2 - n - 1. Let l be x(-1). Determine k, given that 4*k**3 - 2 + 7*k - 2*k - 2 - 12*k**2 + l*k = 0.
1
Let b(w) = 18 - 2*w + w - 37 + 18 - w**3. Let s(t) = 6*t**3 - 7*t**2 + 4*t + 12. Let c = 2 + -7. Let d(v) = c*s(v) - 40*b(v). Factor d(i).
5*(i + 2)**2*(2*i - 1)
Let w(r) = 3*r - 7. Let v be w(4). Suppose 3*p - 5 = v*c + 4*p, -3*c - 10 = 2*p. Find q, given that c*q + 0 - 2/3*q**3 + 2/3*q**2 = 0.
0, 1
Let l be (54/8)/((-2475)/(-600)). Factor 0 - 6/11*m**5 + 12/11*m**4 + 0*m**2 + 0*m + l*m**3.
-6*m**3*(m - 3)*(m + 1)/11
Let n be (-144)/(-18)*(1 - 3/6). Suppose -4*v - 5*m + 3 = 0, 0 = -2*m - 2*m - n. Factor 4/5*f**v + 0*f + 0*f**3 - 2/5 - 2/5*f**4.
-2*(f - 1)**2*(f + 1)**2/5
Let a(t) be the second derivative of 0*t**2 + 15*t + 0 - 3/20*t**5 + 1/2*t**4 + 3/2*t**3. Factor a(n).
-3*n*(n - 3)*(n + 1)
Suppose 85 = 13*l + 59. Find a, given that l*a + 4/3 - 2/3*a**3 + 0*a**2 = 0.
-1, 2
Let y(v) = -v**2 - 7*v + 5. Let u(r) = 1. Let p(m) = -3*u(m) - y(m). Factor p(j).
(j - 1)*(j + 8)
Let f(g) = -2*g**3 - g**2 - g - 2. Let r be f(-2). Let p(k) = -k**2 - 16*k - 13. Let z be p(-15). Factor -3*x**3 + 2*x**2 + 4 + 10*x**z - x**3 - r*x.
-4*(x - 1)**3
Let p(g) be the first derivative of -g**3/18 - g**2/6 + 5*g/2 - 75. Let p(q) = 0. What is q?
-5, 3
Let r be (-24)/(-15) + 10/25. Let 9*y**2 + y**r - 8*y**2 = 0. What is y?
0
Let d(c) = c**3 - 3*c**2 + 3*c. Let b be d(2). Solve -8 - 6*k**2 - 4 + 27*k - 21*k**3 + 21*k - 9*k**b = 0 for k.
-2, 2/7, 1
Let z = 1419 + -1417. Factor -3/2*h**z + 0 + 3/2*h.
-3*h*(h - 1)/2
Let q(i) = i - 7. Let d be q(11). Let y = -1 + d. Determine f, given that 4*f**2 - 10*f**y + 3*f**4 - 2*f**5 + 9*f**4 - 4*f**4 = 0.
0, 1, 2
Suppose -3*t = -4*t - 18. Let h = -16 - t. Factor 0*q - 1/2*q**3 - 3/2*q**h + 2.
-(q - 1)*(q + 2)**2/2
Let s(t) be the third derivative of -t**8/112 + 11*t**7/70 - 9*t**6/20 - t**5/10 + 19*t**4/8 - 9*t**3/2 + 16*t**2 + 3. Factor s(q).
-3*(q - 9)*(q - 1)**3*(q + 1)
Find c, given that -4*c**2 - 96/7 - 344/7*c = 0.
-12, -2/7
Let p(n) be the third derivative of n**5/34 + 11*n**4/204 + 2*n**3/51 - n**2 - 4*n. What is i in p(i) = 0?
-2/5, -1/3
Let z(n) = -10*n**4 + 5*n**3 + 15*n**2 - 15*n - 5. Let v(s) = -5*s**4 + 3*s**3 + 7*s**2 - 7*s - 2. Let b(k) = 5*v(k) - 2*z(k). Factor b(w).
-5*w*(w - 1)**2*(w + 1)
Factor -160/9*s - 3200/9 - 2/9*s**2.
-2*(s + 40)**2/9
Let -30*c - 35*c**2 - 360*c**3 + 175*c**3 + 180*c**3 = 0. Calculate c.
-6, -1, 0
Let l(u) be the second derivative of -u**4/78 + 188*u**3/39 - 8836*u**2/13 - 328*u - 2. Find i, given that l(i) = 0.
94
Let r be 5/34*((-510)/(-225) - (-10)/(-15)). Let 0*s - 2/17*s**4 + 0 + 6/17*s**2 - r*s**3 = 0. Calculate s.
-3, 0, 1
Let f(y) be the third derivative of -y**8/168 - 23*y**7/105 - 14*y**6/5 - 32*y**5/3 + 128*y**4/3 - 332*y**2. Factor f(z).
-2*z*(z - 1)*(z + 8)**3
Let y = 4/779 - -2321/3116. Factor 9/4*i + y - 3/4*i**2 - 9/4*i**3.
-3*(i - 1)*(i + 1)*(3*i + 1)/4
Factor 1/3*d - 1/3*d**2 + 2/3.
-(d - 2)*(d + 1)/3
Let r(c) = -c**3 + 8*c**2 - 14*c - 9. Let y be r(4). Let h be y*(21/15)/(-1). Factor -h*b**5 + 2/5*b**4 + 0 + 0*b**3 + 0*b + 0*b**2.
-b**4*(7*b - 2)/5
Suppose 0 = 14*f 