2 + 135*i - 1380. Let h(r) = -2*r**2 - 136*r + 1381. Let j(b) = -6*h(b) - 5*p(b). Factor j(w).
-3*(w - 33)*(w - 14)
Suppose 11*g + 3*c + 54 = 12*g, -2*g + 3*c + 102 = 0. Suppose g*y = 52*y - 12. Determine s, given that 1/2*s**y + 1/4*s**4 - 1/4*s**2 + 0 - 1/2*s = 0.
-2, -1, 0, 1
Find y such that -1/6*y**2 + 1/2*y**3 - 1/6*y**4 - 1/2*y + 1/3 = 0.
-1, 1, 2
Let t be (-39)/(-4)*72/27. Let z = 28 - t. Solve -144 - 273 + 9*x - 4*x**z + 93 + 63*x = 0.
9
Solve 20 + 4/3*v**4 + 1/3*v**5 - 6*v**3 - 64/3*v**2 + 17/3*v = 0 for v.
-5, -3, -1, 1, 4
Let r(l) be the third derivative of -l**7/210 - 57*l**6/5 - 683*l**5/10 - 512*l**4/3 - 455*l**3/2 - 72*l**2 + 12*l. Factor r(q).
-(q + 1)**3*(q + 1365)
Let g(a) be the first derivative of 3*a**5/5 + 18*a**4 + 23*a**3 + 2957. Factor g(y).
3*y**2*(y + 1)*(y + 23)
Suppose 2*s - 90 = -2*z, -53 = -z - 0*s - 3*s. Suppose -z*q + 37*q + 12 = 0. Factor -1/4*a**5 - 1/4*a + 1/2*a**q + 0 + 0*a**4 + 0*a**2.
-a*(a - 1)**2*(a + 1)**2/4
Let q = 12652/1547 + -292/221. Let -q - 6/7*n**3 + 60/7*n - 6/7*n**2 = 0. What is n?
-4, 1, 2
Let b be (-3 - (-15)/3) + (2 - 2). Factor 4*o**b + 3*o - 285 + 289 + 5*o.
4*(o + 1)**2
Let i = 2813 + -2792. Let g(a) = -8 - 2*a - 5*a**2 - 4 + 21*a**2 - 2*a. Let n(o) = -5*o**2 + o + 4. Let w(b) = i*n(b) + 6*g(b). Factor w(z).
-3*(z - 1)*(3*z + 4)
Let w = 494920 - 2474599/5. Factor -m**3 - w*m**2 + 1/5*m - 3/5*m**4 + 0.
-m*(m + 1)**2*(3*m - 1)/5
Let k(c) be the first derivative of -4*c**5/5 + 7*c**4 - 20*c**3/3 - 14*c**2 + 24*c + 358. Determine q, given that k(q) = 0.
-1, 1, 6
Let v(u) be the second derivative of 2*u**7/105 - 106*u**6/75 + 553*u**5/25 + 4081*u**4/15 + 4292*u**3/15 - 13456*u**2/5 + 12*u - 107. What is m in v(m) = 0?
-4, -2, 1, 29
Factor -277*l**2 + 4*l**3 + 69*l - 53 + 40 + 13.
l*(l - 69)*(4*l - 1)
Let w = 575571 - 575566. Let h be -1 + -1 + 13/5. Factor h*j**2 + 3/5*j**3 + 0*j + 0 - 3/5*j**w - 3/5*j**4.
-3*j**2*(j - 1)*(j + 1)**2/5
Let a = 1166 + -1117. Suppose -60*t = -a*t. Suppose -8/7*l**2 - 2/7*l - 2/7*l**5 - 12/7*l**3 - 8/7*l**4 + t = 0. Calculate l.
-1, 0
Let g(b) be the third derivative of 11/72*b**4 + 0*b - 9*b**2 + 1/30*b**5 - 6 - 1/9*b**3. Determine x, given that g(x) = 0.
-2, 1/6
Let s(w) = -w**2 + 2153*w + 81032. Let m be s(-37). Factor 3/4 + 1/4*b**m + b.
(b + 1)*(b + 3)/4
Let z be (252/(-90))/7*(-3 - 8/(-6)). What is s in 0 + 5*s**3 - z*s + 7/6*s**2 + 2/3*s**5 + 23/6*s**4 = 0?
-4, -1, 0, 1/4
Let v(p) be the first derivative of -5*p**6/3 - 685*p**5 - 72670*p**4 + 443755*p**3/3 - 860*p**2 - 147920*p + 77. What is a in v(a) = 0?
-172, -1/2, 1
Let l(i) be the first derivative of -21/2*i**4 + 294*i**3 + 2/15*i**5 + 87 - 3087*i**2 + 0*i. Let l(x) = 0. Calculate x.
0, 21
Let s(i) be the second derivative of i**7/10080 + i**6/2880 - i**5/240 + 7*i**4/12 + 64*i. Let u(j) be the third derivative of s(j). Factor u(g).
(g - 1)*(g + 2)/4
Let o be (-455)/195*(-18)/7. Let -67*q + 18*q**3 + 11*q**4 - 25*q**4 + 17*q + 6*q**4 + o*q**4 - 30*q**2 = 0. Calculate q.
-1, 0, 5
Let i(d) be the second derivative of 0*d**3 + 0*d**5 + 11/2*d**2 + 1/180*d**4 - 1/900*d**6 + 0 - 12*d. Let j(p) be the first derivative of i(p). Factor j(w).
-2*w*(w - 1)*(w + 1)/15
Let o(q) be the first derivative of -q**4/28 - 54*q**3/7 + q**2/14 + 162*q/7 + 14830. Find m, given that o(m) = 0.
-162, -1, 1
Let b = -7 + 10. Let p be (-20)/96*1377/(-357) - 6/14. Factor -27/8*s - p*s**b + 0 - 9/4*s**2.
-3*s*(s + 3)**2/8
Suppose -2*m - 3*t - 4 = -4*t, 2*t = -4*m + 8. Let l be (1 - m)*4*(-110)/(-88). Factor 2*a**2 + 4*a**3 - 2*a**4 - 6*a**3 - 37*a**l + 39*a**5.
2*a**2*(a - 1)**2*(a + 1)
Let h = -19785/7 - -2829. Solve 4/7*k - 2*k**5 - h*k**4 + 10/7*k**3 + 18/7*k**2 + 0 = 0 for k.
-1, -2/7, 0, 1
Let o(x) be the first derivative of 4*x**5/5 - 425*x**4 + 78912*x**3 - 5101056*x**2 - 83607552*x + 7668. Factor o(n).
4*(n - 144)**3*(n + 7)
Let v be 16 + (-6 - 1 - -9). Determine u so that 0*u**4 - 2*u**4 - 1670*u**2 - 20 + 1620*u**2 + 0*u**3 - 54*u - v*u**3 = 0.
-5, -2, -1
Let l = 14836 - 14836. Let x(v) be the third derivative of -27*v**2 + 13/72*v**4 - 7/360*v**5 + 2/9*v**3 + l + 0*v. Suppose x(d) = 0. What is d?
-2/7, 4
Let l be (-3)/(-21) - (18/72)/(14/8). Let p(o) be the first derivative of 16 + 0*o**2 + l*o + 2/15*o**3. Factor p(b).
2*b**2/5
Let u(x) be the second derivative of 0 + 0*x**5 + 1/720*x**6 + 0*x**2 + x**3 + 0*x**4 + x + 1/672*x**7. Let b(t) be the second derivative of u(t). Factor b(y).
y**2*(5*y + 2)/4
Let l(f) = -9*f**3 - 93*f**2 - 98*f - 2. Let t(n) = 51*n**3 + 465*n**2 + 491*n + 11. Let i(g) = 11*l(g) + 2*t(g). Factor i(a).
3*a*(a - 32)*(a + 1)
Let x(m) be the third derivative of -15/2*m**3 + 11/8*m**4 + 1/4*m**5 + 0 - 1/120*m**6 - 43*m**2 + 0*m. Let c(y) be the first derivative of x(y). Factor c(a).
-3*(a - 11)*(a + 1)
Find r, given that -3543122/9 - 2/9*r**3 - 242/3*r**2 - 29282/3*r = 0.
-121
Let n = -2 - 16. Let u be (0 - 318)*12/n. Factor -212*r + u*r + 4*r**5.
4*r**5
Let d(k) be the second derivative of 2*k**6/135 + 32*k**5/45 - 642*k. Determine m, given that d(m) = 0.
-32, 0
Suppose 42*k - 1386 = 9*k - 33*k. Let f(q) be the second derivative of 2/5*q**2 + 0 - 1/5*q**3 + k*q + 1/30*q**4. Factor f(i).
2*(i - 2)*(i - 1)/5
Suppose -31*b + 480 = 199*b + 73*b - 63*b. Factor 3 + 1/3*a**b - 2*a.
(a - 3)**2/3
Let r(l) be the third derivative of l**6/480 - 3*l**5/80 + 7*l**4/48 + l**3 - 216*l**2 - 3. Factor r(t).
(t - 6)*(t - 4)*(t + 1)/4
Let r = 409097/10 - 40909. Determine s, given that 41/5*s - r*s**2 + 12/5 = 0.
-2/7, 12
Let z(r) be the third derivative of 1/30*r**6 + 2/3*r**3 - r**2 + 35*r - 1/6*r**4 - 1/15*r**5 + 0. Factor z(q).
4*(q - 1)**2*(q + 1)
Let u(f) = f**2 + 11*f - 16. Let g(v) = -2*v + 3. Let n(d) = 4*g(d) + u(d). Let m be n(1). Factor m + 0*k**2 + 1/3*k - 1/3*k**3.
-k*(k - 1)*(k + 1)/3
Let o(x) = 6*x**2 - 170*x + 168. Let a(s) = 14*s**2 - 341*s + 336. Let u(y) = 4*a(y) - 9*o(y). Solve u(r) = 0 for r.
-84, 1
Let y(b) be the first derivative of 55 + 4/3*b**3 - 80*b**2 + 1600*b. Factor y(c).
4*(c - 20)**2
Suppose 4 = -3*a + 1, 0 = -5*h - 3*a + 12. Let p be (-7 - h)*8/(-20). Factor 2*z - 7/4*z**p + 0 - 5*z**2 + 1/4*z**5 + 9/2*z**3.
z*(z - 2)**3*(z - 1)/4
Suppose -4*r - 5*j = -2*j + 334, 0 = -2*j - 4. Let f = 87 + r. Solve -6*i**f + 880 + 8*i**3 + 8*i**4 - 880 = 0 for i.
-2/3, 0, 2
Let n = 178505/4 - 44571. Find x such that -34*x + 789/4*x**3 + n*x**4 + 251/4*x**2 + 3 - 169/4*x**5 = 0.
-1, 2/13, 3
Let x(q) = 3*q**3 + 6*q**2 + q + 1. Let d(w) = 14*w**3 + 371*w**2 - 29570*w + 85688. Let v(t) = -2*d(t) + 10*x(t). Factor v(f).
2*(f - 169)**2*(f - 3)
Suppose -4*n**2 - n**3 + 2*n**2 - 144*n + 7*n**3 - 4*n**3 = 0. What is n?
-8, 0, 9
Let 34/3*d**3 + 518/3*d - 140*d**2 - 44 = 0. What is d?
6/17, 1, 11
Let g be (-12)/33 + 118/22. Factor 57*w**4 - 15*w - 45*w**3 + 0*w**2 + w - 12*w**5 + 3*w**2 - 9*w**g + 20*w.
-3*w*(w - 1)**3*(7*w + 2)
Let z(u) be the first derivative of u**8/112 - 3*u**7/70 + u**5/5 - u**2/2 + 9*u + 12. Let h(m) be the second derivative of z(m). Factor h(t).
3*t**2*(t - 2)**2*(t + 1)
Let t(c) be the third derivative of c**6/210 - 2*c**5/7 - 3*c**4/2 - 64*c**3/21 - 2006*c**2. Factor t(d).
4*(d - 32)*(d + 1)**2/7
Let v = 41233 + -41230. Let i(s) be the first derivative of -1/2*s**4 - 16*s + 2*s**v + 6*s**2 - 38. Factor i(p).
-2*(p - 4)*(p - 1)*(p + 2)
Let y(v) be the third derivative of -37*v**2 + 0*v + 0*v**4 - 1/120*v**5 + 1/3*v**3 + 0. Let y(m) = 0. What is m?
-2, 2
Suppose 372 = 3*q - 4*u, 465 = 5*q - q + 5*u. Let o = q + -115. Find f, given that f - 5*f + 4*f**2 + f - o*f = 0.
0, 2
Let p(n) = 2*n**3 - 26*n**2 + n - 10. Let a be p(13). Let f(t) be the first derivative of -3/7*t**2 - 8/21*t**a + 2/7*t + 9. Solve f(i) = 0.
-1, 1/4
Let p be 1*(-12)/4*((-490)/(-45))/(-7). Let f(t) be the first derivative of 12 - p*t**2 - t**4 + 32/9*t**3 + 8/3*t. Factor f(o).
-4*(o - 1)**2*(3*o - 2)/3
Suppose -4*n + 3*n - 14 = 0. Let w be (-21)/n*(-20)/(-6). Factor -10*s**4 + 9*s**4 - 2*s**w + 3*s**4.
-2*s**4*(s - 1)
Suppose 2*g + 5*x = 27, g - 13*x - 18 = -11*x. Factor -g*q + 2*q**3 + 20*q**2 + 2*q**3 + 11*q - 19*q.
4*q*(q - 1)*(q + 6)
Let l(x) be the third derivative of x**8/161280 - x**7/13440 + 29*x**5/60 - 4*x**2 - 7*x. Let z(f) be the third derivative of l(f). Factor z(a).
a*(a - 3)/8
Let z(y) = 3*y - 35. L