tor -2/11*d**3 - 64/11 + 0*d + 12/11*d**2.
-2*(d - 4)**2*(d + 2)/11
Solve -188/7*m - 48/7 - 44/7*m**2 - m**4 + 89/7*m**3 = 0.
-1, -2/7, 2, 12
Let p(r) = -11*r**4 - 23*r**3 + 24*r**2 + 151*r + 108. Let d(i) = 5*i**4 + 11*i**3 - 12*i**2 - 75*i - 54. Let g(a) = -7*d(a) - 3*p(a). Factor g(o).
-2*(o - 3)*(o + 1)*(o + 3)**2
Let q(n) = -86*n**3 + 158*n**2 + 16*n + 4. Let f(y) = -345*y**3 + 631*y**2 + 64*y + 18. Let t(j) = 2*f(j) - 9*q(j). Factor t(p).
4*p*(p - 2)*(21*p + 2)
Suppose -3 = -4*z - 15. Let r(a) = -a**3 - 3*a**2 + 2. Let i be r(z). Solve -o - o + 7*o**2 - 5*o**3 - 2*o**3 + i*o**3 = 0.
0, 2/5, 1
Suppose -q + 157 = -3*c, -5*c = -3*c + 3*q + 101. Let d = 52 + c. Factor 0*i**2 + d*i - 1/3*i**4 + 0 - 2/3*i**3.
-i**3*(i + 2)/3
Let k be 1 + -1 + -2 + 2. Suppose 5*f + 0*f - 15 = k. Factor -h**f - 106*h + h**2 + 106*h.
-h**2*(h - 1)
Let j(t) be the second derivative of 1/6*t**6 + 0*t**2 - 1/2*t**5 + 5/12*t**4 + 6*t + 0 + 0*t**3. Suppose j(y) = 0. What is y?
0, 1
Let f = -45 - -47. Let m = 10/29 + 9/58. Determine n so that m*n**4 + 0 - n + 5/2*n**f - 2*n**3 = 0.
0, 1, 2
Let h(q) = 19*q**2 - 11*q + 63. Let k(d) = 2*d**2 + d + 3. Let o(n) = -2*h(n) + 18*k(n). Factor o(s).
-2*(s - 18)*(s - 2)
Let o(n) = -49*n**2 - 56*n - 24. Let u(q) = -48*q**2 - 57*q - 23. Let b be 1230/(-42) - (-4)/14. Let y = -25 - b. Let g(k) = y*u(k) - 3*o(k). Factor g(v).
-5*(3*v + 2)**2
Let n be (28/(-2))/(6/(-15)). Factor 18*z + 25 - 28*z - 10*z**2 - n*z.
-5*(z + 5)*(2*z - 1)
Let s be (-265)/848*8/(-10). Factor 0*w - 3/4*w**4 + w**5 + 0*w**2 + 0 - s*w**3.
w**3*(w - 1)*(4*w + 1)/4
Let r(n) be the second derivative of -1/4*n**3 - 16*n + 0 + 3/4*n**2 + 1/32*n**4. Factor r(v).
3*(v - 2)**2/8
Let g be 4 - 12 - -6 - 444/(-2). Determine x, given that -x**2 - 5*x - 220 + g = 0.
-5, 0
Let h = -427 - -427. Let s(b) be the third derivative of 8*b**2 + h*b**3 - 1/12*b**4 + 0*b + 0 + 1/30*b**5. Factor s(n).
2*n*(n - 1)
Factor 122*t**3 - 16 - 8*t**2 - 28*t - 7*t**2 - 124*t**3 + t**2.
-2*(t + 1)*(t + 2)*(t + 4)
Let p be (-1016)/1143 + (-1 - 17/(-9)). Factor p + 2/5*a**2 + a**3 + 0*a + 3/5*a**4.
a**2*(a + 1)*(3*a + 2)/5
Let a(b) = -b**2 + 11*b + 3. Let r be a(11). Factor 2 + r*l + 0 + 0*l**2 + 7*l**2 - 6*l**2.
(l + 1)*(l + 2)
Suppose -7*c - 4*c = -6*c. Let l(y) be the third derivative of 0*y**6 - 1/525*y**7 - 9*y**2 + 1/150*y**5 + 0*y**3 + 0*y**4 + 0*y + c. Find b such that l(b) = 0.
-1, 0, 1
Let d(o) be the second derivative of -o**4/16 - 5*o**3/4 - 75*o**2/8 - 101*o. Factor d(h).
-3*(h + 5)**2/4
Let u(w) be the second derivative of w**5/20 - 7*w**4/12 + 5*w**3/2 - 9*w**2/2 - 177*w. Factor u(g).
(g - 3)**2*(g - 1)
Let c(f) be the first derivative of -f**7/3780 + f**6/810 - f**5/540 + 16*f**3/3 - 8. Let y(n) be the third derivative of c(n). Factor y(u).
-2*u*(u - 1)**2/9
Solve 1024/3 + 388/3*l**2 - 12*l**3 - 384*l + 1/3*l**4 = 0 for l.
2, 16
Let o(k) be the first derivative of -1/130*k**5 + 0*k**3 + 1 - 4*k + 0*k**2 + 1/39*k**4. Let j(l) be the first derivative of o(l). Factor j(y).
-2*y**2*(y - 2)/13
Let z be ((-1200)/210*(-7)/2)/2 + -7. Determine p, given that -27*p**5 + 9/5*p**z - 13/5*p**2 + 0 + 81/5*p**4 + 2/5*p = 0.
-2/5, 0, 1/3
Let l(y) be the first derivative of -1/15*y**5 + 1/9*y**3 + 1/6*y**2 + 0*y - 1/12*y**4 + 11. Determine z, given that l(z) = 0.
-1, 0, 1
Suppose 3*t + 2*a = 55, -4*t + a + 0*a + 77 = 0. Factor -2*k**3 + 15*k**5 + 10*k**3 - 4*k - t*k**5.
-4*k*(k - 1)**2*(k + 1)**2
Let a(m) be the third derivative of -m**7/70 - m**6/40 + m**5/2 - m**4 - 919*m**2. Solve a(s) = 0 for s.
-4, 0, 1, 2
Let d(y) be the second derivative of y**4/12 + 2*y**3/3 + 2*y**2 + 85*y. Factor d(f).
(f + 2)**2
Let o(r) be the second derivative of r**6/15 - r**5/2 + 7*r**4/6 - r**3 - r + 1. Let o(v) = 0. What is v?
0, 1, 3
Let y(w) = -5*w**3 + 20*w**2 - 3*w - 24. Let x(m) = -10*m**3 + 40*m**2 - 4*m - 47. Let i(p) = 4*x(p) - 7*y(p). Factor i(q).
-5*(q - 4)*(q - 1)*(q + 1)
Suppose 459 = 128*s - 125*s. Let g = s + -764/5. Let -g*q**2 + 1/5*q**3 - 1/5*q + 1/5 = 0. Calculate q.
-1, 1
Suppose 0 = -5*l + 15, -3*g - 3*l + 2*l + 12 = 0. Let o = -84 - -86. Factor -1/4*a**g + o + a - 1/2*a**2.
-(a - 2)*(a + 2)**2/4
Factor 154*b - 12*b**3 + 312*b**2 - 56*b**2 + 22*b.
-4*b*(b - 22)*(3*b + 2)
Factor 5/4*u**2 - 5*u + 5.
5*(u - 2)**2/4
Let v = 2/293 + 281/1758. Solve -1/6*b**2 + v + 1/6*b - 1/6*b**3 = 0 for b.
-1, 1
Let u be (-6 + (-140)/(-25))*-5. Factor -3/8*z - 9/8 + 5/8*z**u - 1/8*z**3.
-(z - 3)**2*(z + 1)/8
Let b be (165/81 - 2)/(10/30). Let n(o) be the second derivative of 17/18*o**4 + 0 + 3/5*o**5 + 0*o**3 + 3*o - 4/3*o**2 + b*o**6. Suppose n(g) = 0. What is g?
-2, -1, 2/5
Let i = -5/12 + 7/6. Let r(w) be the second derivative of i*w**2 + 4*w + 0*w**3 + 0 - 1/8*w**4. What is f in r(f) = 0?
-1, 1
Let n be ((-48)/40)/((-2)/(-10)*-2). Let m(p) be the second derivative of -3/4*p**2 + 3*p + 0 - 1/8*p**4 + 1/2*p**n. Factor m(q).
-3*(q - 1)**2/2
Let o(a) be the third derivative of -1/12*a**3 + 1/120*a**5 + 19*a**2 - 1/120*a**6 + 0*a + 0 + 1/24*a**4. Factor o(z).
-(z - 1)*(z + 1)*(2*z - 1)/2
Let h(u) be the first derivative of -u**4/20 - u**3/5 - 3*u**2/10 - u/5 + 518. Let h(s) = 0. Calculate s.
-1
Let f(l) = -32*l**2 + l**3 - 22 - 14*l + 22*l**2 + 21*l**2. Let i be f(-12). Factor 7/4*h + 1/2 - h**i.
-(h - 2)*(4*h + 1)/4
Let i(t) be the first derivative of -4*t**3/3 - 92*t**2 + 34. Determine h, given that i(h) = 0.
-46, 0
Let r be ((-33)/(-14) - 2)*(52/(-65))/(-1). Factor 12/7 - r*f**3 + 22/7*f + 8/7*f**2.
-2*(f - 6)*(f + 1)**2/7
Suppose 0 = -l + 14 - 6. Factor 3*u**2 - u**2 + 0*u - 6*u + l*u.
2*u*(u + 1)
Suppose i + 13*i - 28 = 0. Suppose -q - 21 = -4*c - 3, i*q - 2*c + 6 = 0. Factor u**3 - 1/2 + 3/2*u**q + 0*u.
(u + 1)**2*(2*u - 1)/2
Suppose -8*n - 357 = -n. Let t = n + 53. Factor 2/3*r - 2/3*r**3 + 0 + 0*r**t.
-2*r*(r - 1)*(r + 1)/3
Let f(r) = 11*r - 52. Let s be f(5). Let n(a) be the third derivative of -1/36*a**4 + 0 - 3*a**2 + 0*a**s - 1/180*a**5 + 0*a. Suppose n(i) = 0. What is i?
-2, 0
Let t = 5862 + -4871323/831. Let q = t - -6655/5817. Factor -15/7*z**2 + 16/7*z**4 - 8/7*z + q*z**3 - 1/7.
(z - 1)*(z + 1)*(4*z + 1)**2/7
Let w(d) = -730*d**2 - 728*d + 4. Let i(t) = -1459*t**2 - 1458*t + 6. Let n(m) = -2*i(m) + 5*w(m). Factor n(z).
-4*(z + 1)*(183*z - 2)
Let z = 268/35 - 34/5. Let g = 21/424 + 4093/2968. What is h in -g*h + 2/7 + z*h**2 - 8/7*h**4 + 10/7*h**3 = 0?
-1, 1/4, 1
Suppose 196 = 2*c + 52. Let u = c + -69. Let -11*r**2 + 8*r**5 + 12*r**4 + 15/2*r - 1 - 31/2*r**u = 0. Calculate r.
-2, -1, 1/4, 1
Find t such that 2*t - 1/4*t**3 + 3 - 5/4*t**2 = 0.
-6, -1, 2
Let z(k) be the second derivative of -k**4/9 + 52*k**3 - 9126*k**2 - 3*k - 132. Factor z(s).
-4*(s - 117)**2/3
Solve 578*m**2 + 4 + 16 + 329*m**4 - 6022*m**5 - 248*m - 538*m**3 + 5992*m**5 + 4 - 115*m**4 = 0 for m.
2/15, 1, 2, 3
Let n(j) be the first derivative of -81*j - 405/4*j**2 - 13 - 375/32*j**4 - 225/4*j**3. Let n(z) = 0. Calculate z.
-6/5
Suppose -h = -3*z + 9, -z - 4*h - 37 + 27 = 0. Factor 1/4*v + 1/8*v**z - 1.
(v - 2)*(v + 4)/8
Let a be 2*12/(-140)*730/(-292). Suppose 2/7 + 1/7*k**3 - a*k + 0*k**2 = 0. What is k?
-2, 1
Suppose -17 = -a - 5*g, 130*a + g - 1 = 131*a. Factor -2/9*y**a + 32/9*y - 128/9.
-2*(y - 8)**2/9
Let m = 1051/23 - -633/115. Solve 64/5*x - 4/5*x**2 - m = 0.
8
Let d be 6/(-8)*((-119 - 0) + -1). Let w = d + -90. Factor 0*s - 3/2*s**3 + s**2 + w.
-s**2*(3*s - 2)/2
Let f(p) be the first derivative of -p**4 + 4*p**3 + 162*p**2 + 308*p + 434. Solve f(b) = 0 for b.
-7, -1, 11
Let u(s) be the third derivative of -s**5/60 + 2*s**4/3 - 32*s**3/3 + 241*s**2. Suppose u(d) = 0. What is d?
8
Factor -2/5*h**4 - 8*h**2 - 24/5*h + 0 - 18/5*h**3.
-2*h*(h + 1)*(h + 2)*(h + 6)/5
Let a(b) = 2*b**2 - 225*b + 1511. Let u be a(7). Factor u*l**2 - 578*l - 2/3*l**3 + 9826/3.
-2*(l - 17)**3/3
Let i be (-2)/50*((-14)/14 - 4). Let v(c) be the first derivative of 12*c**2 - 9*c - 22/3*c**3 - 10 - i*c**5 + 2*c**4. Suppose v(t) = 0. What is t?
1, 3
Let o = 122/5 - 931/40. Factor -3/4 - 3/8*z**2 - o*z.
-3*(z + 1)*(z + 2)/8
Let j be 1/5*(-91 - -91). Let l(n) be the first derivative of 0*n**3 + 2 + 0*n**5 + 2*n**4 - 2/3*n**6 - 2*n**2 + j*n. Factor l(d).
-4*d*(d - 1)**2*(d + 1)**2
Let q(d) be the first derivative of d**4/4 + 20*d**3/3 + 37*d**2/2 + 18*d +