**2 + 8 + 1/24*b**6. Factor v(t).
(t + 1)**5/4
Let l = 516/59 - 138251/177. Let k = l + 773. Determine p so that k*p**3 - 2/3 - 8/3*p**2 + 7/3*p - 1/3*p**5 + 2/3*p**4 = 0.
-2, 1
Let f(l) be the first derivative of -2*l**4 - 6*l**3 + 10*l**2 + 6*l - 1319. Factor f(i).
-2*(i - 1)*(i + 3)*(4*i + 1)
Let u = 857796 - 857794. Factor 144/19*t + 2/19*t**3 - 864/19 + 42/19*t**u.
2*(t - 3)*(t + 12)**2/19
Suppose 5*c = 3*s + 2940 + 180, 0 = -2*s. Let k be 1/(-7) + c/840. Factor k*a**2 - 12/5*a + 12/5.
3*(a - 2)**2/5
Suppose 0 = -626*h + 1946 + 1810. Let -12 + 15*g - h*g**2 + 3/4*g**3 = 0. What is g?
2, 4
Let q(m) be the third derivative of -m**5/180 + 121*m**3/18 + 400*m**2 + 2. Solve q(t) = 0 for t.
-11, 11
Let f = -7718 + 7722. Factor 2/5*b**f - 4*b**3 + 0 + 0*b**2 + 0*b.
2*b**3*(b - 10)/5
Let z(w) be the third derivative of -1/200*w**6 - 18*w**2 + 0 - 4*w + 0*w**3 + 0*w**4 + 1/100*w**5. Let z(a) = 0. What is a?
0, 1
Let o(j) be the third derivative of j**5/60 - 121*j**4/2 + 87846*j**3 - 3108*j**2. Let o(s) = 0. What is s?
726
Let z = -398 + -106. Let x be 2/(-5) + z/(-210). Suppose -y**4 + 0 + 1/6*y**5 + 13/6*y**3 + 2/3*y - 2*y**x = 0. Calculate y.
0, 1, 2
Let c be (3 - (8 + -1)) + (-504)/(-21). Let i be (-9 - 294/(-36))*(-3)/c. Suppose 0*w - i*w**5 + 0 + 1/8*w**3 + 0*w**4 + 0*w**2 = 0. Calculate w.
-1, 0, 1
Let g be (-6)/(8/(28/7)) - 6/(-2). Let r(h) be the third derivative of -5/72*h**6 + g*h**3 + 1/18*h**4 - 1/15*h**5 + 0*h - 1/70*h**7 + 0 - 9*h**2. Factor r(v).
-v*(v + 1)*(v + 2)*(9*v - 2)/3
Let r(z) be the third derivative of 1/110*z**5 - 1 - 8/33*z**3 - 1/660*z**6 + 1/22*z**4 + 43*z**2 + 0*z. Determine t, given that r(t) = 0.
-2, 1, 4
Let g(o) be the first derivative of -o**3/9 + 32*o**2/3 + 140*o + 5534. Factor g(q).
-(q - 70)*(q + 6)/3
Let v = 51631/3 - 17210. Let i(r) be the second derivative of 0 + 6*r**2 - 1/6*r**4 - 4*r + v*r**3. Factor i(o).
-2*(o - 3)*(o + 2)
Suppose 2*n = -5*n + 168. Let x be (-40)/n*(-28 - 2/(-2)). Factor 18 + 10*p**4 + 18 + 9 - 154*p + x*p**3 + 5*p**2 + 49*p.
5*(p - 1)*(p + 3)**2*(2*p - 1)
Let d(x) be the first derivative of -x**6/2 - 378*x**5/5 - 9021*x**4/2 - 130696*x**3 - 3485547*x**2/2 - 5541126*x + 2773. Find z such that d(z) = 0.
-31, -2
Factor -80 + 453*p - 463*p - 24*p**2 + 94.
-2*(p + 1)*(12*p - 7)
Factor -29*q**4 + 5*q**5 - 200*q**3 - 22*q**3 + q**5 - 9*q**5 - 140*q**2 + 2*q**5 + 392*q.
-q*(q - 1)*(q + 2)*(q + 14)**2
Let w = -331 + 333. Let 53*o**5 + 1440*o + 130*o**4 - 1436*o**3 + 1241*o**w - 1296 - 93*o**2 + 18*o**4 - 57*o**5 = 0. Calculate o.
-1, 1, 18
Let z(n) = 12*n**2 + 12*n - 23. Let g be z(8). Factor -3*k**3 - 841 - 9*k + g - 12*k**2.
-3*k*(k + 1)*(k + 3)
Let n(b) be the second derivative of -b**5/4 + 115*b**4/12 - 395*b**3/6 + 285*b**2/2 - 6737*b. What is h in n(h) = 0?
1, 3, 19
Let w(g) = -12*g**3 + 220*g**2 - 176*g. Let b(a) = 24*a**3 - 438*a**2 + 350*a. Let t(l) = 3*b(l) + 5*w(l). Determine p, given that t(p) = 0.
0, 5/6, 17
Suppose -183 = 17*o - 268. Let t(j) be the third derivative of -20*j**2 + 1/3*j**3 + 0*j**4 + 0 - 1/30*j**o + 0*j. Suppose t(v) = 0. Calculate v.
-1, 1
Solve -37/3*y**3 - 37/6 - 1/3*y**2 + 25/2*y - 1/6*y**5 + 13/2*y**4 = 0 for y.
-1, 1, 37
Let f be 9 - (66/11 + (-117)/(-45)). Let m be (-2)/(-10) - 3/(-15). Determine t so that -2/5*t + f*t**3 + 2/5 - m*t**2 = 0.
-1, 1
Let y(n) be the third derivative of 2*n**7/105 - 26*n**6/15 + 146*n**5/15 + 26*n**4/3 - 98*n**3 + 3*n**2 - 69. Suppose y(r) = 0. Calculate r.
-1, 1, 3, 49
Let s = 5911 + -17725/3. Let l(c) be the third derivative of 0*c + s*c**3 + 2*c**2 - 1/15*c**5 + 0 + 1/2*c**4. Factor l(h).
-4*(h - 4)*(h + 1)
Let u(w) = w**2 + 2*w. Let q be u(-4). Let b(f) = 7*f + 58. Let p be b(-8). Factor q*l**3 + 14*l**p - 17*l**3 + 10*l**2 - 9*l - 6.
-3*(l - 2)*(l - 1)*(3*l + 1)
Let u(h) be the third derivative of -h**6/60 - 14*h**5/15 - 221*h**4/12 - 338*h**3/3 - 78*h**2 + 4. Factor u(s).
-2*(s + 2)*(s + 13)**2
Let s(o) be the first derivative of o**3 - o**2 - 3*o - 167. Let x be s(-1). Suppose -2/11 + 0*k + 2/11*k**x = 0. What is k?
-1, 1
Suppose -3584/5 - 312/5*k - 4/5*k**2 = 0. Calculate k.
-64, -14
Suppose -3*i + 4*l = -2203, 7*i - 3*l = 9*i - 1497. Suppose 0 = i*t - 736*t - 10. Factor -32/5 - 98/5*k**t + 112/5*k.
-2*(7*k - 4)**2/5
Suppose 0 = -2*v + 3*v - 2. Suppose 0 = -7*c - 3*c + 6050. Find w such that -8*w - 2*w**3 - 8*w**2 - 609 + c - v*w = 0.
-2, -1
What is x in 4/7*x**5 + 232/7*x**4 - 976/7*x**2 + 0*x - 748/7*x**3 + 0 = 0?
-61, -1, 0, 4
Let f(u) = -u**3 + 122*u**2 + 193*u - 11. Let a(s) = 24*s**2 + 38*s - 2. Let c(x) = -11*a(x) + 2*f(x). Factor c(w).
-2*w*(w + 2)*(w + 8)
Let m(s) be the second derivative of -5*s**5/24 + 13*s**4/9 - 4*s**3/9 - 6954*s. Factor m(l).
-l*(l - 4)*(25*l - 4)/6
Let j = -7230/19 + 50686/133. Factor 6/7*p**3 + 0*p + 2/7*p**4 + 0 + j*p**2.
2*p**2*(p + 1)*(p + 2)/7
Let r(l) = -58*l**2 - 600*l - 2004. Let z(c) = -c**3 - c**2 + 2. Suppose -32 = 110*q - 94*q. Let p(m) = q*r(m) - 4*z(m). Let p(n) = 0. What is n?
-10
Find g such that 181719*g + 12168*g**2 - 181719*g + 314*g**4 - 2*g**5 - 12480*g**3 = 0.
0, 1, 78
Let h be 0/1 - 6/3*-1. Let j(s) = -s**3 + 5*s**2 + 4*s - 1. Let f be j(5). Factor -4 + 9*y - 2*y**3 - 13*y**2 + 5*y**h - f*y.
-2*(y + 1)**2*(y + 2)
Suppose 3 = 3*k - 0. Let y be -3*(k + -2 - 0). Let 0 + 10/3*m**y - 6*m - 2*m**2 - 2/3*m**4 = 0. What is m?
-1, 0, 3
Suppose 63/11*x**5 + 20/11*x + 60/11*x**4 - 50/11*x**2 + 8/11 - 65/11*x**3 = 0. Calculate x.
-1, -2/7, 2/3
Let b(x) = x**4 - x**3 + x**2 + x - 2. Let m(a) = -14*a**4 - 13*a**3 - 10*a**2 + 67*a + 78. Let h(s) = 52*b(s) + 4*m(s). Determine d so that h(d) = 0.
-26, -1, 2
Let r(y) be the first derivative of y**7/2520 + y**6/288 - 13*y**5/720 + 7*y**4/288 + 17*y**2 - y - 315. Let s(m) be the second derivative of r(m). Factor s(b).
b*(b - 1)**2*(b + 7)/12
Let l(m) be the third derivative of -m**7/70 + 3*m**6/10 + 27*m**5/20 + 7*m**4/4 - 197*m**2. Factor l(a).
-3*a*(a - 14)*(a + 1)**2
Suppose 0 = 3*s - 4*a - 29 + 21, -a = -s + 3. Suppose -3*q = -28 + 16, -s*c = -2*q + 8. Factor 0*u + 5/7*u**4 - 4/7*u**3 + c - 1/7*u**2.
u**2*(u - 1)*(5*u + 1)/7
Factor 2/3*y**2 + 622/3 - 208*y.
2*(y - 311)*(y - 1)/3
Let p(v) = -v**4 + v**3 + 2*v**2 - v - 14. Let m(j) = 27*j**5 - 99*j**4 + 131*j**3 - 72*j**2 + 18*j - 44. Let d(n) = m(n) - 3*p(n). Let d(t) = 0. What is t?
2/9, 1/3, 1
Let o(r) be the third derivative of -r**5/35 + 1271*r**4/21 + 3392*r**3/21 - 1770*r**2. Factor o(d).
-4*(d - 848)*(3*d + 2)/7
Let w be (13 + 2)*(-3330)/(-83250). Factor 0 - w*c**2 + 3/5*c**3 + 0*c.
3*c**2*(c - 1)/5
Factor 217167*q + 328329 - 379/2*q**3 + 1/4*q**4 + 141349/4*q**2.
(q - 382)**2*(q + 3)**2/4
Determine l, given that 153*l**4 + 0*l + 0*l**2 + 1/4*l**5 + 0*l**3 + 0 = 0.
-612, 0
Let b be (-1)/((-1)/10)*8/16. Suppose -i - 2*q = 2*i - 30, 0 = 5*i + b*q - 50. Factor -i*m**4 - 5*m**4 - 5*m**2 - 36*m**3 - 9*m**2 + 2*m**2.
-3*m**2*(m + 2)*(5*m + 2)
Let w = -535 - -546. Suppose 11*c + w*c = 30*c. Determine u so that 0*u - 3/8*u**3 - 3/8*u**2 + c + 3/8*u**5 + 3/8*u**4 = 0.
-1, 0, 1
Let w = -149 - -150. Determine m, given that 3*m**2 - w - m**2 - 2*m**2 + m**2 = 0.
-1, 1
Let i = -18340/9 - -2038. Let q(n) be the first derivative of 0*n**2 - 1/6*n**4 - i*n**3 - 14 + 0*n. Suppose q(u) = 0. What is u?
-1, 0
Suppose 1120 - 2539 = -473*q. Let v be 2/7 + (-22)/(-21). Factor 1/3*m**5 - v*m**q + 0*m**4 + 2/3*m**2 - 2/3 + m.
(m - 1)**3*(m + 1)*(m + 2)/3
Find d, given that 2523947970 + 3946119294 + 11628*d**2 - 3932860*d + 18956236*d + 3*d**3 = 0.
-1292
Let f(g) be the first derivative of -2*g**3/33 - 5404*g**2/11 - 14601608*g/11 - 1374. Suppose f(i) = 0. Calculate i.
-2702
Let k(i) = -7*i**3 + 1132*i**2 - 106028*i + 40. Let o(s) = 15*s**3 - 2265*s**2 + 212055*s - 90. Let v(p) = -9*k(p) - 4*o(p). Factor v(a).
3*a*(a - 188)**2
Let l = -30 + -21. Let c = l + 53. Factor 83*f**3 + 4*f**c - 44*f**3 + 4*f**2 - 43*f**3.
-4*f**2*(f - 2)
Let j(g) be the first derivative of g**6/45 - g**5/6 + 7*g**4/18 - g**3/3 - 85*g + 24. Let u(h) be the first derivative of j(h). Factor u(w).
2*w*(w - 3)*(w - 1)**2/3
Suppose -21 = -3*z - 5*i, z + 4*i - 18 = 6*i. Suppose 0 = -a + 3*q + 19, 2*a + 3*q + z = -q. Factor -1/3*f**5 + 0 + a*f**2 - 4/3*f + 2*f**4 - 13/3*f**3.
-f*(f - 2)**2*(f - 1)**2/3
Let 195/2*s + 575/3 + 5/6