Let u(o) be the second derivative of o**5/80 + o**4/16 - 3*o**3/8 - 27*o**2/8 - o + 39. Factor u(r).
(r - 3)*(r + 3)**2/4
Let t(o) = -5*o**2 + 4*o**2 + 4*o - 10 - o**2 + 3*o**2. Let q be t(2). Factor 1/4*u**q + 0*u + 0.
u**2/4
Let r(q) be the first derivative of -q**7/840 + q**6/72 - 7*q**5/120 + q**4/8 - q**3/3 + 23. Let a(t) be the third derivative of r(t). Factor a(s).
-(s - 3)*(s - 1)**2
Let m(y) = 7*y - 9. Let i be m(2). Find h such that 26*h**3 + h**i - 19*h**3 - 8*h**3 - h**2 + h**4 = 0.
-1, 0, 1
Suppose 5*y = 162 - 137. Let s(b) be the first derivative of 5 - 4/3*b**3 + 4/5*b**y + 0*b**4 + 1/3*b**6 - b**2 + 0*b. Factor s(z).
2*z*(z - 1)*(z + 1)**3
Let o(i) = -i**2 + 6*i - 4. Let m be o(4). Suppose -10 - 6 = -m*z. Factor -z*a**5 + 5*a**5 - 4*a**4 - 3*a**5.
-2*a**4*(a + 2)
Let b(a) be the first derivative of a**3/6 + 129*a**2/2 + 16641*a/2 - 393. Factor b(k).
(k + 129)**2/2
Let b be 4/6*(-14)/4 + 5. Let d(o) be the first derivative of -b*o - 4/3*o**2 - 2/9*o**3 - 6. Determine s so that d(s) = 0.
-2
Let x = 329 + -1643/5. Let d(k) be the first derivative of 0*k - x*k**3 + 27/25*k**5 - 6 + 21/20*k**4 + 0*k**2. Factor d(w).
3*w**2*(w + 1)*(9*w - 2)/5
Let y(b) = 5*b**2 - 70*b - 5. Let i(v) = -5*v**2 + 72*v + 4. Let p(f) = -5*i(f) - 4*y(f). Suppose p(s) = 0. What is s?
0, 16
Suppose -526 - 317 = -3*u. Let x = u + -75. Solve -55*v - x*v**4 - 144*v**2 - 315*v**5 + 590*v**4 - 54*v**2 + 24 - 29*v + 609*v**3 = 0.
-1, -2/5, 2/7, 1/3, 2
Let n(j) be the second derivative of -j**4/18 + 280*j**3/9 - 19600*j**2/3 - 151*j + 1. Solve n(x) = 0.
140
Solve -4*q**5 - 12 + 9*q - 44*q**4 - 52 - 172*q**3 - 279*q - 292*q**2 + 46*q = 0.
-4, -1
Let r be (-9)/(-36) + (-54)/(-8) + -1. Let x(c) be the third derivative of 0 + 0*c**4 + 9/70*c**7 - 2*c**2 + 1/20*c**5 + 0*c**3 + 0*c + 3/20*c**r. Factor x(b).
3*b**2*(3*b + 1)**2
Let s(b) = b + 4. Let r be s(-7). Let k = r - -5. Let w + 1 + 1/4*w**k = 0. What is w?
-2
Let i(u) be the second derivative of -27/80*u**5 - 1/112*u**7 - 1/2*u**3 - 5/8*u**4 + 0 - 7/80*u**6 + 26*u + 0*u**2. Suppose i(t) = 0. Calculate t.
-2, -1, 0
Let k(x) = x**3 + x**2 - x + 3. Let q be k(0). Solve 11*p**3 - q*p**5 + p**5 + 5*p**2 - 5*p**3 - p**2 = 0.
-1, 0, 2
Suppose 4*v + 63 = -3*k, 0*v - k + 7 = -v. Let f be ((-16)/v)/(2/6). Determine s so that 6*s**f + 12*s**3 - 3*s**2 + 3*s**2 + 2*s**4 + 4*s**2 = 0.
-1, -1/2, 0
Let y be (-2 - 0)/((-14)/287). Suppose -l + 21 = -3*h, 0*l - y = -5*l - h. Factor -2*b**4 - 2*b**3 + 8*b**3 + l*b - 7*b + 2*b**2 - 8*b**2.
-2*b*(b - 1)**3
Let p be (3/((-30)/25))/((-2)/4). Let d be 80/50 - (-2)/p. Suppose 0*r**d + 2/3*r**3 - 8/3*r**5 + 0 + 0*r - 2*r**4 = 0. What is r?
-1, 0, 1/4
Let t(q) be the third derivative of q**7/11340 + q**6/1080 + q**5/270 + q**4/3 - 25*q**2. Let z(d) be the second derivative of t(d). Find p such that z(p) = 0.
-2, -1
Suppose -23*x + 5*x = 30*x. Let 1/2*y**3 + 0*y**2 - 1/2*y**5 + 0 + 0*y**4 + x*y = 0. What is y?
-1, 0, 1
Factor 15*t**3 + t**4 - 3*t**2 + 6*t + 0*t**4 + 14*t**2 - 9*t**3.
t*(t + 1)*(t + 2)*(t + 3)
Let v = -603 + 603. Factor -1/4*f**3 - 1/4*f**2 + 0 + v*f.
-f**2*(f + 1)/4
Suppose -4*x - 100 = -0*x. Let q be 34/10 + (-15)/x. Determine h so that -2*h**5 + 3*h**q + 3*h**3 + 2*h**2 - h**5 + 0*h**4 - 5*h**2 = 0.
-1, 0, 1
Let r(h) be the third derivative of -h**6/480 - h**5/120 + h**4/32 + 79*h**2. Factor r(x).
-x*(x - 1)*(x + 3)/4
Let l be 3 + 0 + (-54)/(-6). Suppose -z - 3*d - 4 = -5*d, -l = -3*z - 2*d. Suppose 0 - 4/5*r - 2/5*r**z = 0. What is r?
-2, 0
Suppose 52 = 3*u - 68. Suppose 9*w + u = 14*w. Suppose -8*k**2 - 4*k - w*k + 10*k - 10*k**3 - 4*k**4 = 0. Calculate k.
-1, -1/2, 0
Let t(y) be the first derivative of -y**6/8 - 3*y**5/20 + 21*y**4/16 + 13*y**3/4 + 9*y**2/4 + 560. Solve t(l) = 0 for l.
-2, -1, 0, 3
Let p be (-1)/(-9) - 2266/(-990). Factor -4/5*u - u**3 + p*u**2 + 0.
-u*(u - 2)*(5*u - 2)/5
Let s be (-4)/(-12)*9*7/49. Let p be 1*8/(8/2) + 1. Factor -15/7*k - s*k**p - 12/7*k**2 - 6/7.
-3*(k + 1)**2*(k + 2)/7
Let -12*d**3 + 27*d**3 - 46*d - 218 - 30*d**2 - 14*d + 290 + 3*d**4 = 0. Calculate d.
-6, -2, 1, 2
Let q = 60503 - 60499. Factor -2/7*t**3 + 0*t + 0 + 4/7*t**2 - 2/7*t**q.
-2*t**2*(t - 1)*(t + 2)/7
Suppose 826 = 7*w + 280. Factor -6*b + 5*b**2 - 14*b - 63 + w.
5*(b - 3)*(b - 1)
Let v = -41 - -41. Let g be ((-1)/(-1))/(-4)*v. Solve 4/7*p + g - 6/7*p**2 + 2/7*p**3 = 0 for p.
0, 1, 2
Let g be (-15)/(-12)*(-518)/(-185). Factor 0 + 0*b - b**2 + g*b**3.
b**2*(7*b - 2)/2
Let t(a) be the third derivative of -a**7/210 - a**6/20 + 3*a**5/20 + 7*a**4/12 + 22*a**2 - 15. Solve t(u) = 0 for u.
-7, -1, 0, 2
Let d(y) be the third derivative of -y**8/420 - y**7/350 + y**6/150 + y**5/100 - 38*y**2. Let d(f) = 0. Calculate f.
-1, -3/4, 0, 1
Let w(g) be the second derivative of 0*g**2 + 1/42*g**4 + 1/294*g**7 - 44*g + 0*g**3 - 1/140*g**5 - 1/105*g**6 + 0. Solve w(q) = 0.
-1, 0, 1, 2
Factor -2 + 5*o**2 + 3*o - 177*o**3 - o + 0*o + 178*o**3 - 6.
(o - 1)*(o + 2)*(o + 4)
Suppose 5*q**2 - 602 + 185*q + 602 = 0. What is q?
-37, 0
Solve -51/5*z - 1/5*z**2 + 106/5 = 0 for z.
-53, 2
Let x be -1 - -9 - (1 - -5). Determine z, given that -2/5*z**3 + 0 - 6/5*z**x - 4/5*z = 0.
-2, -1, 0
Suppose -72*w**3 + 20 + 68*w**3 + 4*w - 12 - 8*w**2 = 0. Calculate w.
-2, -1, 1
Let m(l) be the third derivative of -l**7/315 + 2*l**6/45 - 2*l**5/15 - 22*l**2 - 3. Determine t, given that m(t) = 0.
0, 2, 6
Suppose -28 = -4*t, -4*f - 6 = -4*t + 14. Factor -4/3 - 4/3*b**f - 8/3*b.
-4*(b + 1)**2/3
Let l = 249132/7 - 35590. Let -l*r**2 - 12/7*r - 18/7 = 0. What is r?
-3
Let f(m) be the first derivative of 5*m**5 + 65*m**4/4 + 15*m**3 - 5*m**2/2 - 10*m + 55. Factor f(i).
5*(i + 1)**3*(5*i - 2)
Find u, given that 135/2*u**2 + 15/2*u**5 - 35/2*u**3 - 35/2*u**4 + 10 - 50*u = 0.
-2, 1/3, 1, 2
Let p be (-500)/(-3250) + 35/26. Find f, given that -p + 24*f**3 - 3/2*f + 24*f**2 = 0.
-1, -1/4, 1/4
Let o(n) be the first derivative of -n**3/12 + 3*n**2/4 - 9*n/4 - 368. Let o(m) = 0. What is m?
3
Let q be (6 - 147/14)/(12/(-16)). Let t = -3 + 7. Factor -t*v**3 + 0*v + q*v - v - v.
-4*v*(v - 1)*(v + 1)
Let v be 2/(-10) + 2222/1155*3/6. Factor 2/21*k**3 - 4/7*k**2 - v + 8/7*k.
2*(k - 2)**3/21
Let f(q) be the first derivative of -3*q**4/28 + 2*q**3/7 - 3*q**2/14 + 266. Find a such that f(a) = 0.
0, 1
Let m(n) be the first derivative of -n**3 + 12*n + 55. Find f, given that m(f) = 0.
-2, 2
Factor -2*q**5 - 40*q**2 - 9*q**3 + 5*q**5 + 34*q**2.
3*q**2*(q - 2)*(q + 1)**2
Let v(d) be the third derivative of -d**6/540 + d**5/270 - 7*d**2 + 6*d. Factor v(q).
-2*q**2*(q - 1)/9
Suppose -3 - 3 = -4*a + j, 5*j = -a - 9. Let i = a - -2. Factor -i*n**4 + 5*n**2 - n**2 - n**2.
-3*n**2*(n - 1)*(n + 1)
Suppose 0 = 2*u - 113 - 19. Let c = u - 328/5. Find b such that 2/5*b - 2/5*b**3 + c*b**2 - 2/5 = 0.
-1, 1
Let w(t) = 3*t**3 + t**2 - 15*t - 13. Let x be w(-1). Let 0*h**2 - 1/3*h**3 + 0*h**4 + x*h + 1/3*h**5 + 0 = 0. What is h?
-1, 0, 1
Suppose x + 5*d + 12 = 2*x, -5*d = -2*x + 9. Let u = x - -9. Suppose f**4 - 8*f**5 + u*f**5 + 3*f**5 = 0. What is f?
-1, 0
Let f(p) = 3*p**3 - p**2 - 3*p + 1. Let u be f(3). Let w = u - 383/6. Determine m, given that -w*m**3 + 1/2*m**2 + 0 - 1/3*m = 0.
0, 1, 2
Factor 0 - 20*p**2 + 138/7*p + 2/7*p**3.
2*p*(p - 69)*(p - 1)/7
Suppose -6*m - 12*m = 3*m. Let k(t) be the third derivative of 1/210*t**5 - 4/21*t**3 + 6*t**2 + m - 1/28*t**4 + 0*t. Factor k(r).
2*(r - 4)*(r + 1)/7
Factor 16/9*d + 8/9 - 10/9*d**2.
-2*(d - 2)*(5*d + 2)/9
Factor -57*l**2 - 8*l**2 + 285 + 70*l**2 + 110*l.
5*(l + 3)*(l + 19)
Let -32/3*q + 28/3 + 4/3*q**2 = 0. What is q?
1, 7
Let j(b) = 2*b**2 - 10*b - 7. Let d be j(6). Let c(t) = 4*t**2 - 15*t + 19. Let i(m) = -2*m**2 + 8*m - 10. Let g(u) = d*i(u) + 2*c(u). Factor g(o).
-2*(o - 3)*(o - 2)
Let n(r) be the second derivative of r**6/12 + 7*r**5/4 + 5*r**4/2 - 35*r**3/6 - 65*r**2/4 + r - 93. Determine q, given that n(q) = 0.
-13, -1, 1
Let x(t) be the first derivative of -t**8/84 + 4*t**7/525 + 15*t**2/2 - 19. Let h(d) be the second derivative of x(d). Determine g, given that h(g) = 0.
0, 2/5
Let z be (57/(-9) - -6)/((-1)/27). Suppose 0 = -12*n + z*n + 2*n. Factor -1/4*d**5 + 1/4*d**3 + 0*d**4 + n*d + 0 + 0*d**2.
-d**3*(d - 1)*(d + 1)/4
Let k(v) be the first derivative of v**4/40 + 89*v**3/30 + 506*v**2/