/3*m**3 + 28 - 40*m + 45/2*m**2. Factor f(n).
-5*(n - 8)*(n - 1)
Let o = 10 + -6. Suppose 3 + 13 = o*z. Factor x**3 + x**3 - z*x**2 - 2*x - 4*x**3.
-2*x*(x + 1)**2
Let g(y) = -y**2 + 13*y - 1. Let s be g(7). Solve -24*t**2 - 12*t**3 - 2*t**4 - 86*t + 29*t + s*t = 0.
-2, 0
Let c be 49/((-1 - -2) + -2). Let w be ((-4)/(-7))/((-14)/c). Determine p, given that p - 4*p - p + 4*p**w - 6*p**2 = 0.
-2, 0
Let p(d) be the first derivative of d**7/280 + d**6/120 - 17*d**3/3 + 27. Let m(c) be the third derivative of p(c). Factor m(k).
3*k**2*(k + 1)
Suppose 8*r = 3*r - 5*r. Let t(a) be the third derivative of r*a + 1/18*a**4 - 3*a**2 + 0 - 1/9*a**3 - 1/90*a**5. Suppose t(y) = 0. Calculate y.
1
Let m(v) be the second derivative of 0*v**3 - 1/84*v**7 + 0*v**6 + 0*v**2 + 1/40*v**5 + 0*v**4 + 11*v + 0. Factor m(r).
-r**3*(r - 1)*(r + 1)/2
Let r be (-6)/40*2 + (-426)/(-284). Factor -4/5 + r*q - 2/5*q**2.
-2*(q - 2)*(q - 1)/5
Let o(d) = -2*d**2 - 9*d + 9. Let a be o(-5). Let g be 40/a*-3*3/(-27). Suppose 5*n + 10/3*n**2 - 5/3*n**5 - 5*n**4 - g*n**3 + 5/3 = 0. Calculate n.
-1, 1
Let d(s) be the third derivative of -s**10/7560 + s**8/840 - s**6/180 + 13*s**4/12 - 12*s**2. Let g(f) be the second derivative of d(f). Factor g(l).
-4*l*(l - 1)**2*(l + 1)**2
Let x(q) be the second derivative of q**5/4 + 5*q**4/4 + 5*q**3/3 + 45*q. Solve x(c) = 0.
-2, -1, 0
Let c(z) = -z**3 + 13*z**2 - 11*z - 8. Let g be c(12). Factor 2*v**4 - 6*v**g + 12*v**2 - 16*v - 20 + 7 - 3 + 8*v**3.
-4*(v - 2)**2*(v + 1)**2
Let j(q) be the second derivative of 0 - 20*q + 0*q**3 + 3/35*q**5 + 0*q**4 + 0*q**2 + 1/70*q**6. Factor j(d).
3*d**3*(d + 4)/7
Let b(o) be the third derivative of -1/600*o**6 + 0*o + 1/300*o**5 + 1/120*o**4 - 3*o**2 - 1/30*o**3 + 0. Solve b(j) = 0 for j.
-1, 1
Let o(y) = 51*y**2 + 5*y + 9. Let h be o(-6). Factor 6*l**3 - 3*l**5 + l**5 - 1811*l**2 + h*l**2.
-2*l**2*(l - 2)*(l + 1)**2
Let f(n) = n**5 + n**4 + n. Let o(i) = -5*i**5 - 5*i**3 + 2*i**2 - 4*i. Let b(d) = -4*f(d) - o(d). Factor b(p).
p**2*(p - 2)*(p - 1)**2
Let n(t) be the third derivative of 0*t + 1/2*t**4 + 2/15*t**5 + 0*t**3 - 1/30*t**6 + 18*t**2 + 0. Determine b so that n(b) = 0.
-1, 0, 3
Suppose 0 = -46*k + 127*k - 179 + 17. Find t such that 2*t - 3/2*t**3 - 1/2*t**4 + 0*t**k + 0 = 0.
-2, 0, 1
Factor 0 - 16/19*m + 10/19*m**3 + 36/19*m**2.
2*m*(m + 4)*(5*m - 2)/19
Let b(p) = -9*p**2 - 9*p + 1. Let q(l) = l**2 + l. Let k(a) = -b(a) - 6*q(a). Let r be k(1). Factor 4*f**2 - 4*f**3 - 13 + 2 - r + 16*f.
-4*(f - 2)*(f - 1)*(f + 2)
Let o = -357759/160 + 2236. Let y(p) be the third derivative of 0*p**5 + 0*p**3 + 0*p**4 + 0 - 6*p**2 + 0*p + o*p**6. Let y(t) = 0. Calculate t.
0
Factor -56/11*l - 392/11 - 2/11*l**2.
-2*(l + 14)**2/11
Let q be (-2)/(-8)*-4 - -1. Let a = -1/22 + 6/11. Factor 7/4*g**4 - 9/4*g**5 + 0*g + a*g**3 + 0 + q*g**2.
-g**3*(g - 1)*(9*g + 2)/4
Let q = 3/3103 + 12403/9309. Factor -q*l**2 - 32/3*l - 64/3.
-4*(l + 4)**2/3
Let b(d) be the second derivative of -1/50*d**5 + 1/5*d**2 + 0 - 1/30*d**4 + 13*d + 1/15*d**3. Solve b(j) = 0.
-1, 1
Suppose -92*t - 20 = -96*t. Suppose -3*o = t*x - 1, 4*x - 1 = -o + 4. Suppose -3/5*m + 1/5*m**3 + 2/5 + 0*m**x = 0. Calculate m.
-2, 1
Find s such that 0 + 16/3*s + 22/9*s**2 = 0.
-24/11, 0
Find c such that 64/7*c - 62/7 - 2/7*c**2 = 0.
1, 31
Suppose 70*t - 119 - 100 = -3*t. Factor 0*h - 12/7*h**2 + 0 + 2/7*h**t.
2*h**2*(h - 6)/7
Let h(x) be the second derivative of x**4/21 + 4*x**3/7 - 2*x**2 - 41*x + 1. Find c, given that h(c) = 0.
-7, 1
Let k(m) = m + 12. Let c be k(-10). What is g in 26*g + 4*g**3 - 2 + 16*g**c - 6*g + 10 = 0?
-2, -1
Let w(z) = z**4 + z**3 - z**2 + z - 2. Let u(d) = d**5 - 3*d**4 - 2*d**3 + 3*d**2 - d + 2. Let s(o) = u(o) + w(o). Find q such that s(q) = 0.
-1, 0, 1, 2
Let x(t) be the second derivative of t**7/84 + 7*t**6/60 + 17*t**5/40 + 17*t**4/24 + t**3/2 - 3*t + 21. Determine f, given that x(f) = 0.
-3, -2, -1, 0
Let c(r) be the first derivative of -5*r**4/18 - 256*r**3/27 + 52*r**2/9 + 50. Let c(t) = 0. Calculate t.
-26, 0, 2/5
Let q be (966/140 + -7)*-4. Solve -4/5*v**3 + v - 2/5 - 1/5*v**5 + 4/5*v**4 - q*v**2 = 0.
-1, 1, 2
Let d(m) = 26*m**3 + 2*m**2 - 3*m + 4. Let f be d(3). Let b be 6/(-4)*(-7 - f/(-105)). Let 6/7*g**3 + 2/7*g**4 - 4/7 - 6/7*g + b*g**2 = 0. Calculate g.
-2, -1, 1
Let l = 194085/13 + -14929. Determine u so that -2/13*u**2 + 2/13*u**4 - l*u**3 + 0 + 8/13*u = 0.
-1, 0, 1, 4
Let g(i) = i + 1. Let p(v) = 3*v**4 - 6*v**3 + 3*v + 3. Let h(w) = -3*g(w) + p(w). Determine z, given that h(z) = 0.
0, 2
Suppose 4*n = 3*s + 47, -4*s = 2*n - 9*s - 41. Let x(g) = g**2 + g + 9. Let o(v) = 2*v**2 + 4*v + 26. Let c(m) = n*x(m) - 3*o(m). Solve c(q) = 0.
-1, 3
Let k be ((-9)/5)/((-3)/15). Let z be 6/(-27) - (-20)/k. Find w such that -4*w - w**2 + 6*w**2 - 6*w**2 + 3*w**z = 0.
0, 2
Let c = -17570 - -17570. Factor 2/11*k**2 + c + 10/11*k.
2*k*(k + 5)/11
Suppose 0 = 3*w + 3*g - 15, 2 + 1 = 2*w - 5*g. Let r be 2/w - 9/(-2). Solve 0*v + 0*v**2 - 2/9*v**4 + 0 - 2/9*v**r + 0*v**3 = 0 for v.
-1, 0
Suppose 0 = -75*r + 73*r + 698. Let v = -349 + r. Find a such that 9/4*a**2 - 7/4*a**3 - 1/2*a + v = 0.
0, 2/7, 1
Let p(i) be the third derivative of i**10/75600 - i**9/37800 - i**4/8 + 9*i**2. Let o(x) be the second derivative of p(x). Suppose o(r) = 0. What is r?
0, 1
Let i(w) be the third derivative of 1/30*w**6 + 0 + 0*w - 1/6*w**4 + 2/15*w**5 - 4/3*w**3 - 8*w**2. Factor i(c).
4*(c - 1)*(c + 1)*(c + 2)
Let p(u) be the second derivative of u**5/40 + 5*u**4/12 + 17*u**3/12 + 2*u**2 + 117*u. Factor p(i).
(i + 1)**2*(i + 8)/2
Let x = 88 - 89. Let k(t) = -1. Let c(f) = 2*f**2 + 2. Let l(o) = x*c(o) - 4*k(o). Determine n so that l(n) = 0.
-1, 1
Factor 0 + 399/2*y**3 + 0*y + 441/2*y**2 - 41/2*y**4 + 1/2*y**5.
y**2*(y - 21)**2*(y + 1)/2
Let k(j) be the first derivative of -j**4/38 + 14*j**3/57 + 158. What is z in k(z) = 0?
0, 7
Let w(y) = 4*y**4 - 1 - 2*y**3 + 4*y - 5*y**3 - 3. Let h = -401 + 396. Let x(r) = -7*r**4 + 13*r**3 - r**2 - 8*r + 8. Let i(z) = h*w(z) - 3*x(z). Factor i(g).
(g - 2)**2*(g - 1)*(g + 1)
Let g be (-4)/(-14) - (-100)/56 - 2. Let t(m) be the second derivative of 0 - 5*m + 2/21*m**3 - 1/7*m**2 + g*m**4. Factor t(j).
2*(j + 1)*(3*j - 1)/7
Factor 3/8*u**4 + 3/8*u**3 - 3/8*u**5 + 0*u - 3/8*u**2 + 0.
-3*u**2*(u - 1)**2*(u + 1)/8
Suppose 6*m**2 + 5*m**3 - 10*m + 8*m - m**2 + 2*m = 0. What is m?
-1, 0
Let r(x) be the third derivative of x**7/315 + 67*x**6/180 + 253*x**5/15 + 3025*x**4/9 + 10648*x**3/9 + x**2 + 72. Determine m so that r(m) = 0.
-22, -1
Find n such that -592*n**3 + 29 - 49*n**5 + 168*n**2 - 14 + 12 + 272*n + 27 + 315*n**4 - 6 = 0.
-2/7, 2, 3
Let j(y) be the first derivative of -2/33*y**3 + 6/11*y**2 + 14/11*y - 2. Factor j(l).
-2*(l - 7)*(l + 1)/11
Let q(y) be the first derivative of -15 - 22*y - 4*y - y**4 + 10*y + 4*y**3. Solve q(u) = 0 for u.
-1, 2
Let b = -244723/193 - -1268. Let m = b - -373/2509. Suppose -18/13 - m*p**3 + 10/13*p**2 - 6/13*p = 0. Calculate p.
-1, 3
Let j(f) be the second derivative of -3*f**4/32 - 43*f**3/16 + 45*f**2/8 - 12*f - 12. What is b in j(b) = 0?
-15, 2/3
Solve 1/2*x**2 - 11/2*x + 0 = 0.
0, 11
Determine z so that -30*z**2 + 0*z**4 - 40*z + 3*z**4 + 2*z**4 + z**4 - z**4 + 15*z**3 = 0.
-4, -1, 0, 2
Let q(f) = f**3 - 1. Let b(l) = -l**4 - 9*l**3 + 8*l**2 - 7. Suppose 4*k - 5*g - 12 = -3*g, -5*g = -k - 6. Let o(v) = k*b(v) + 36*q(v). Factor o(s).
-4*(s - 2)**2*(s + 2)**2
Let v = 17164 + -17160. What is i in v*i**2 + 5/2*i**3 + 2*i + 1/2*i**4 + 0 = 0?
-2, -1, 0
Let i = 44 - 40. Let a = 13 + -11. Factor -2*j**5 - 2*j**i + 11*j**2 - 11*j**a.
-2*j**4*(j + 1)
Let g(d) be the first derivative of d**4/5 + 32*d**3/5 - 102*d**2/5 + 104*d/5 + 488. Solve g(o) = 0.
-26, 1
Suppose -3*d = -r + 3*r - 25, 3*r - 20 = -d. Suppose -r = -5*s + 2*j, 8 = 3*s + j - 6. Factor 8/7*c**s - 4/7 + 10/7*c + 22/7*c**2.
2*(c + 1)*(c + 2)*(4*c - 1)/7
Suppose m - 984 = 5*f, 510 = -4*f + 5*m - 273. Let u = f + 989/5. Suppose 4/5*d**4 + 1/5*d**5 + 0*d**2 + 0 + 0*d + u*d**3 = 0. Calculate d.
-2, 0
Let c(s) = -s - 7*s**3 - 3*s - 25*s**2 + 24*s**2. Let t(p) = 6*p**3 + 3*p. Let d(f) = -3*c(f) - 4*t(f). Factor d(n).
-3*n**2*(n - 1)
Find y such that 12*y**2 + 4*y - 7*y**5 - 4*y + 13*y**3 + 8*y**5 - 2*y**5 = 0.
-3, -1, 0, 4
Let g be ((-114)/(-15) 