t x be 115600/27944 - 4 - 4/(-14). Let w = x - -3/499. Suppose 6/7*p + 0*p**2 - 6/7*p**3 + 3/7 - w*p**4 = 0. Calculate p.
-1, 1
Let f(j) be the third derivative of 8*j**2 + 1/390*j**5 + 0 - j - 4/13*j**3 - 1/156*j**4. Factor f(h).
2*(h - 4)*(h + 3)/13
Factor -92 + 6*q**2 + 108*q**3 + 103*q - 2*q**4 - 346*q - 77*q - 124.
-2*(q - 54)*(q - 2)*(q + 1)**2
Let j(q) = 7*q**3 + 67*q**2 + 158*q + 107. Let a(k) = -13*k**3 - 133*k**2 - 318*k - 213. Let h(n) = -3*a(n) - 5*j(n). Solve h(i) = 0.
-13, -2, -1
Suppose 3*q + 5*j - 953 = -234, -q = 4*j - 242. Suppose q = 8*a - 2674. Suppose -64*f - 16 - 67*f + 176*f**3 + a*f**2 + 147*f = 0. What is f?
-2, -1/4, 2/11
Let a(i) = -7*i**2 + 65*i - 8. Let f(r) = 2*r**2 - r + 2. Let s(t) = -3*a(t) - 12*f(t). Factor s(g).
-3*g*(g + 61)
Let t(x) be the second derivative of -2*x + 71 + x**3 - 24/5*x**2 - 1/20*x**4. Factor t(h).
-3*(h - 8)*(h - 2)/5
Find o such that 25/3 - 40*o**3 - 11/3*o**4 - 80*o - 374/3*o**2 = 0.
-5, -1, 1/11
Let o(g) be the second derivative of 1/24*g**4 + 1/60*g**6 - 10*g + 0*g**3 + 0*g**2 + 1/20*g**5 - 3. Factor o(h).
h**2*(h + 1)**2/2
Let r be 3/(-30)*-45*31/279. Let -r*i**2 + 1/2 + 0*i = 0. Calculate i.
-1, 1
Let b(z) be the first derivative of -z**5/20 + 21*z**4/16 + 15*z**3/4 + 23*z**2/8 + 2247. Factor b(r).
-r*(r - 23)*(r + 1)**2/4
Let v(b) be the third derivative of b**3 + 3 + 15*b**2 + 0*b + 8/5*b**5 - 17/35*b**7 - 5/42*b**8 + 23/30*b**6 - 13/6*b**4. Find m, given that v(m) = 0.
-3, -1, 1/5, 1/4, 1
Let y(v) = 49*v + 200. Let s be y(20). Let f = 1182 - s. Solve 8/9*q**f + 2/9*q + 0 = 0 for q.
-1/4, 0
Let f be (-7 - -8)/((-129)/(-1462)). Let v(y) be the second derivative of -36*y + f*y**3 + 0 - 4/3*y**4 + 12*y**2 - 3/5*y**5. What is r in v(r) = 0?
-3, -1/3, 2
Suppose -2*g = -3*m + 70, 5*m - g - 4*g - 125 = 0. Let w be (-5)/(m/(-16)) - 0. Find d such that 2/3*d**3 + 0 + 2/3*d**w - 8/3*d**2 - 8/3*d = 0.
-2, -1, 0, 2
Determine b so that -57/5 - 3/5*b**3 + 31*b + 49/5*b**2 = 0.
-3, 1/3, 19
Let n = -2115713/2 + 1057859. Determine u so that -4*u**2 + 2*u + 0 - 7/2*u**3 + n*u**4 = 0.
-1, 0, 2/5, 2
Let p(c) = -c**4 + c**3 + c**2 - c - 30. Let m(k) = 10*k**4 - 3*k**3 - 8*k**2 - 15*k + 346. Let z(b) = -m(b) - 11*p(b). Factor z(d).
(d - 8)*(d - 1)**2*(d + 2)
Let n(o) be the second derivative of o**6/80 - 3*o**5/160 - 61*o**4/32 - 35*o**3/16 + 225*o**2/2 - 2206*o. Determine f so that n(f) = 0.
-5, 3, 8
Let i(b) be the first derivative of 2*b**5/25 - 127*b**4/10 - 86*b**3/5 + 127*b**2/5 + 256*b/5 + 7541. Determine p so that i(p) = 0.
-1, 1, 128
Let f be 10/(-5)*(2 - 145/2). Factor 189 + 45*o**2 + 196 - f*o - 367.
3*(o - 3)*(15*o - 2)
Let g(k) be the third derivative of -147*k**6/100 - 91*k**5/50 + 38*k**4/15 - 16*k**3/15 + 2767*k**2. Factor g(t).
-2*(t + 1)*(21*t - 4)**2/5
Suppose -r - 32 = 2*v, 10*v - 7*v - 4*r = -37. Let n be (-8)/(-2) + 42*(-5)/v. Factor n*b**3 + 0*b + 63/4*b**4 + 3*b**2 + 0 - 147/4*b**5.
-3*b**2*(b - 1)*(7*b + 2)**2/4
Let a(s) = -s**3 - s**2 + 1. Let f(p) = 28 + 0*p**2 - 18*p**2 + 26 - 36 - 6*p**3 - p. Let q(w) = -28*a(w) + 4*f(w). Determine g so that q(g) = 0.
-1, 1, 11
Let z = 61 - 41. Suppose 3*x = -7*x + z. Factor -q**x + 24*q + 2*q**2 - 6*q**2 - 36 + q**2.
-4*(q - 3)**2
Factor -3/2*s**4 + 0 - 4*s + 6*s**2 - s**3 + 1/2*s**5.
s*(s - 2)**2*(s - 1)*(s + 2)/2
Let c(d) be the second derivative of -d**7/21 + 2*d**6/3 - 29*d**5/10 + 10*d**4/3 - 1889*d - 2. Solve c(a) = 0 for a.
0, 1, 4, 5
Let b be (-1162)/(-83)*(5/2)/5. Let d be (-7 + b)/(-4 + 6). Factor 1/4*n**5 + 1/4*n**2 + 3/4*n**4 + 0 + d*n + 3/4*n**3.
n**2*(n + 1)**3/4
Let y(h) = -27*h**3 - 42*h - 69. Let r(z) = 17*z**3 - z**2 + 42*z + 70. Let g(u) = 3*r(u) + 2*y(u). Factor g(f).
-3*(f - 4)*(f + 2)*(f + 3)
Let r = 86/89 - -95/178. Let r*a**3 + 225/2 + 165/2*a + 39/2*a**2 = 0. Calculate a.
-5, -3
Let z(w) be the first derivative of 7*w**6/12 + 429*w**5/10 - 1201*w**4/8 + 959*w**3/6 - 33*w**2/2 - 64*w + 559. What is t in z(t) = 0?
-64, -2/7, 1
Let c(f) be the second derivative of -f**9/22680 + f**8/10080 - f**4/12 + f**3/6 - 34*f - 3. Let v(x) be the third derivative of c(x). Factor v(t).
-2*t**3*(t - 1)/3
Suppose f = 3*w + 3, 184*f = 181*f + 2*w + 9. Determine j, given that -578/7*j - 2/7*j**f - 68/7*j**2 + 0 = 0.
-17, 0
Let b be (-10)/((-5)/((-25)/10)). Let s(i) = i**2 + 3*i - 4. Let o be s(b). Find p, given that -9*p**2 + 12 + 5*p + 4*p - o*p**3 + 5*p + 3*p**4 - 2*p = 0.
-1, 2
Suppose -12 = -20*a + 16*a. Suppose -3*v + 5*v - a*v = 0. Solve 2*i**4 + v*i - 16 + 12 + 6*i**3 + 2*i**2 - 6*i = 0.
-2, -1, 1
Let q(v) be the first derivative of 11 + 1/2*v**3 - 3*v**2 + 22*v + 1/4*v**4. Let i(a) be the first derivative of q(a). Factor i(c).
3*(c - 1)*(c + 2)
Let k(c) be the second derivative of -2*c**6/45 - 29*c**5/30 - 8*c**4 - 265*c**3/9 - 100*c**2/3 + 1459*c. Determine y so that k(y) = 0.
-5, -4, -1/2
Suppose 5*x = 7*x + 4*y - 30, 35 = 4*x + 3*y. Let -12*o**4 - 4*o**x + 283*o**3 - 145*o**3 - 146*o**3 = 0. What is o?
-2, -1, 0
Let l(i) = 8 - 224*i**2 + 11*i + 12 + 225*i**2. Let t be l(-2). Factor -2/5*n**3 + 0*n + 6/5*n**t - 8/5.
-2*(n - 2)**2*(n + 1)/5
Let z be ((-4088)/(-32))/(-7) + 93 + -74. Solve 25/4*m**3 + 0*m + 0 + 9/2*m**2 - z*m**4 = 0 for m.
-2/3, 0, 9
Let o(n) = -4*n + 17. Let b be o(3). Determine z so that -2*z**4 + 35*z**b + 10*z**2 + 40*z**5 - 5*z**3 - 60*z**5 - 18*z**4 = 0.
-2/3, 0, 1
Suppose -4*k + 4*p = -8, -4*p - 4 = -50*k + 48*k. Let n(q) be the first derivative of 1 - 2*q**k + 2/3*q**3 + 0*q. Factor n(f).
2*f*(f - 2)
Let w(d) = -2*d + 36. Let k be w(17). Factor 46*l + 16 + 1769*l**2 + 17*l - 934*l**2 + 7*l - 885*l**k.
-2*(5*l - 8)*(5*l + 1)
Let n(w) = 22*w**3 + 252*w**2 - 2445*w + 8704. Let j(t) = -10*t**3 - 124*t**2 + 1222*t - 4352. Let x(c) = -13*j(c) - 6*n(c). Let x(i) = 0. What is i?
8, 34
Let j(u) be the first derivative of u**4/6 - 22*u**3/9 - 152*u**2/3 + 1500. Solve j(x) = 0 for x.
-8, 0, 19
Let 4400*v + 1649*v**2 - 4*v**3 + 24000 - 2949*v**2 + 1460*v**2 = 0. What is v?
-10, 60
Let l = 10655 + -3889072/365. Let p = l - -709/2555. Suppose -4/7*r + p*r**2 + 2/7 = 0. What is r?
1
Factor 2/5*y**4 + 48/5*y + 2/5*y**3 + 0 - 52/5*y**2.
2*y*(y - 4)*(y - 1)*(y + 6)/5
Factor -72/11*z + 48/11*z**2 + 32/11 - 10/11*z**3.
-2*(z - 2)**2*(5*z - 4)/11
Let i(w) be the third derivative of w**8/112 + w**7/30 - 53*w**6/60 + 19*w**5/5 - 13*w**4/3 - 32*w**3/3 + 10*w**2 - 190. Solve i(o) = 0.
-8, -1/3, 2
Let w(c) be the second derivative of c**4/66 - 3*c**3/11 + 15*c - 26. Suppose w(b) = 0. What is b?
0, 9
Let s(k) = 90*k + 30. Let d be s(-1). Let x be ((-2924)/d)/17 - 4/(-12). Find b such that 16/5*b + x + 4/5*b**2 = 0.
-2
Suppose 6*x = -4*h + 11*x + 43, 5*h - 75 = 2*x. Let -10*t**2 - h + 17*t**2 - 11*t**2 - 13 + 26*t = 0. What is t?
3/2, 5
Suppose 3540 - 3464 = 4*n - 4*p, 0 = n - 5*p - 87. Let -1/2*b**3 + 29/2*b**n - 225/2 - 195/2*b = 0. What is b?
-1, 15
Let x be 7/((-147)/18)*(60/(-8) + 4). Let i(v) be the second derivative of 11*v - 2/3*v**x - 1/6*v**4 + 0 + 3*v**2. Factor i(l).
-2*(l - 1)*(l + 3)
Solve -2/3*z**2 - 74*z - 436/3 = 0 for z.
-109, -2
Suppose -7*r = 5*r - 24. Let z = -5339 - -69415/13. Factor -24/13*q + z + 18/13*q**r.
2*(3*q - 2)**2/13
Suppose j + 4*z = 5*z - 1185, -5*j - 6*z - 5914 = 0. Let p = j - -1188. Factor 16/7*q**2 - 8/7*q + 0 - 10/7*q**3 + 2/7*q**p.
2*q*(q - 2)**2*(q - 1)/7
Let m(a) be the third derivative of -a**6/24 - 26*a**5/3 - 1035*a**4/2 + 9720*a**3 - 14*a**2 + 3*a + 11. Let m(k) = 0. Calculate k.
-54, 4
Let r(c) = 61*c**2 - 24*c + 5. Let y be r(5). Let f = y - 1408. Factor 1/7*k - 2/7*k**4 + 0 + 2/7*k**f + 0*k**3 - 1/7*k**5.
-k*(k - 1)*(k + 1)**3/7
Let q be 13/7 + (-132)/(-42) + -3. Let b be 1 + (q/(-4))/((-55)/50). Solve 2/11*o**4 + 12/11*o**2 - 8/11*o + 10/11*o**3 - b = 0 for o.
-2, 1
Factor 1/2*w**3 - 11323/2 - 93/2*w**2 + 1911/2*w.
(w - 67)*(w - 13)**2/2
Let -21/4 - 8*p + 5/4*p**2 = 0. What is p?
-3/5, 7
Let t be 100/(-80) + (-456)/(-160). Let p(k) be the first derivative of 2*k**4 - 4/3*k**3 + 1/3*k**6 + t*k**5 - 5*k**2 - 4*k + 18. Factor p(v).
2*(v - 1)*(v + 1)**3*(v + 2)
Let f(o) be the first derivative of o**4/2 - 476*o**3/3 + 472*o**2 + 3226. Determine s so that f(s) = 0.
0, 2, 236
Let z = 89 - 87. Factor -6*t**3 + 5*t**3 - t**2 + 0*t**z - t**2.
-t**2*(t + 2)
Solve 480*a**2 - 120*a**4 + 52