x**2 - 36*x - 74. Let z be y(38). Factor 4/5 + 3/5*t**z + 8/5*t.
(t + 2)*(3*t + 2)/5
Let q(b) = -b**4 + b - 33*b**2 - b - b**5 - 1 + 34*b**2. Let j(o) = -9*o**5 - 12*o**4 + 12*o**2 + 3*o - 6. Let r(v) = -j(v) + 6*q(v). Factor r(n).
3*n*(n - 1)*(n + 1)**3
Let z(n) be the second derivative of -9*n**5/4 - 35*n**4/4 - 40*n**3/3 - 10*n**2 - 229*n. Let z(t) = 0. What is t?
-1, -2/3
Let a(l) = 41*l + 8. Let p be a(2). Suppose -4*s = 2*s - p. Solve -4/3 + 8*t + 25/3*t**3 - s*t**2 = 0 for t.
2/5, 1
Suppose 5*l + 106 + 174 = 0. Let y = l + 59. Factor 0*s - 2/3*s**4 - 5/6*s**y + 0 - 1/6*s**2.
-s**2*(s + 1)*(4*s + 1)/6
Let o(z) be the first derivative of -3*z**4/8 + 75*z**3 - 4104*z**2 - 17328*z + 851. Factor o(f).
-3*(f - 76)**2*(f + 2)/2
Suppose 2*a - 2*h + 4 = 0, -3*a - 4*h = -2*h - 4. Let l(r) = -30*r - 150. Let b be l(-5). Let a*j**3 - 4/3*j**2 + 2/3 + 2/3*j**4 + b*j = 0. Calculate j.
-1, 1
Suppose -12*u = -8*u - 48. Factor u*d + 9*d**2 - 2 + 11*d**2 + d + 4.
(4*d + 1)*(5*d + 2)
Suppose 2*x = 4 + 4. Let z be x/(-10)*(-2)/4. Let 0 + z*v - 1/5*v**2 = 0. Calculate v.
0, 1
Let s(m) be the first derivative of -4*m**3/3 - 34*m**2 - 372. Factor s(i).
-4*i*(i + 17)
Let b(u) be the first derivative of -4*u**5/5 + 392*u**4 - 76832*u**3 + 7529536*u**2 - 368947264*u - 586. Factor b(c).
-4*(c - 98)**4
Let k(a) = a + 2. Let f be k(6). Let h be (2 - (-12)/(-8))*f. Solve -12*r**3 + 24*r**5 - 28*r**2 + 2 - 3*r**4 + 15*r**h + 14*r**4 - 12*r**3 = 0.
-1, -1/3, 1/4, 1
Let p be (-96)/(-682) + 6/33. Let l = 1/93 + p. Factor 1/3*y + l*y**4 + 0 - 1/3*y**3 - 1/3*y**2.
y*(y - 1)**2*(y + 1)/3
Find t such that -88 - 31*t + 2 - 337 + 5*t**2 - 324*t + 63 = 0.
-1, 72
Let o = -1613 - -1615. Factor 0*t + 0 + 2/15*t**o + 2/15*t**3.
2*t**2*(t + 1)/15
What is x in -22/5*x + 0 + 2/5*x**3 - 4*x**2 = 0?
-1, 0, 11
Factor -72/5*w**3 - 108/5*w**2 - 2/5*w**5 - 54/5*w + 0 - 4*w**4.
-2*w*(w + 1)*(w + 3)**3/5
Let n(r) be the third derivative of -5/336*r**8 + 0*r**4 + 0 - 1/42*r**7 + 0*r**5 + 0*r**6 + 18*r**2 + 0*r**3 + 0*r. Factor n(x).
-5*x**4*(x + 1)
Let y(l) be the third derivative of -l**5/60 + l**4/6 - l**3/2 + 12*l**2 - 2. Factor y(u).
-(u - 3)*(u - 1)
Let q(l) be the first derivative of -18 + 6*l - 3/4*l**4 + 3*l**2 + 3/10*l**5 - 3/2*l**3. Factor q(a).
3*(a - 2)**2*(a + 1)**2/2
Let i = 721 + -719. Let r(j) be the first derivative of 5 - 4/5*j**5 + 3/4*j**4 + 1/6*j**6 - 2*j**i + 4/3*j**3 + 0*j. Suppose r(d) = 0. Calculate d.
-1, 0, 1, 2
Let r(l) = 14*l + 17*l - 30*l - 5. Let t be r(5). Factor 6/5*b**2 - 3/5*b + t - 3/5*b**3.
-3*b*(b - 1)**2/5
Let c(p) be the second derivative of -p**5/110 - p**4/66 + 4*p**3/33 + 4*p**2/11 - 321*p. Factor c(m).
-2*(m - 2)*(m + 1)*(m + 2)/11
Let h(w) = -2*w + 61. Let d be h(28). Suppose -20 = -5*k - d. Let 14/11*f**2 + 4/11*f**k + 14/11*f + 4/11 = 0. What is f?
-2, -1, -1/2
Let m(o) be the first derivative of o**5 + 5*o**4 - 35*o**3/3 - 25*o**2 + 30. Factor m(p).
5*p*(p - 2)*(p + 1)*(p + 5)
Let a(o) = -10*o - 32. Let r(l) = -7*l - 21. Let f(j) = -5*a(j) + 7*r(j). Let t be f(-11). Factor 2/17*g**t + 8/17 - 10/17*g.
2*(g - 4)*(g - 1)/17
Let w(f) be the second derivative of 1/10*f**6 - 3*f**2 + 1/4*f**4 + 3/2*f**3 - 9/20*f**5 + 0 + 22*f. Factor w(p).
3*(p - 2)*(p - 1)**2*(p + 1)
Let i(a) = 7*a**2 - 224*a + 3. Let z be i(32). Factor 0 + 4/9*m - 2/9*m**z + 2/9*m**2.
-2*m*(m - 2)*(m + 1)/9
Let o(u) = 6*u**3 - 22*u**2 - 82*u - 8. Let r be o(6). Determine g so that 2/11*g - 2/11 + 2/11*g**5 + 4/11*g**2 - 4/11*g**3 - 2/11*g**r = 0.
-1, 1
Let c(b) be the third derivative of -b**6/60 + b**5/6 + 13*b**4/12 + 7*b**3/3 - 3*b**2 - 1. Factor c(j).
-2*(j - 7)*(j + 1)**2
Let w(d) be the second derivative of 1/5*d**5 + 0*d**3 + 0*d**2 + 1/21*d**4 + 0 + 4/35*d**6 + 26*d. Factor w(x).
4*x**2*(x + 1)*(6*x + 1)/7
Let x be (-18)/(-5) + 8/20 + -1. Factor 2*d**5 + 279*d**4 - 275*d**4 + x*d + 2*d**3 - 3*d.
2*d**3*(d + 1)**2
Suppose -7*a = -9 + 9. Let l(f) be the third derivative of 1/180*f**5 - f**2 + 0 + 0*f**3 - 1/360*f**6 + 0*f + a*f**4. What is o in l(o) = 0?
0, 1
Let q(u) = 8*u**3 - 5*u**2 + 3*u - 5. Let t be q(2). Let m = t - 45. Factor -x**2 + m*x + 0 + 1/2*x**3.
x**2*(x - 2)/2
Let y(w) be the third derivative of 0 + 2*w**3 + 0*w + 1/30*w**5 - 7/12*w**4 + 23*w**2. Factor y(l).
2*(l - 6)*(l - 1)
Let i(v) be the second derivative of 0*v**2 - 1/30*v**5 + 4*v + 1/360*v**6 - v**3 + 1/8*v**4 + 0. Let f(w) be the second derivative of i(w). Factor f(o).
(o - 3)*(o - 1)
Let y be (18/40)/(90/150). Factor 0 + 3/4*s**2 - y*s.
3*s*(s - 1)/4
Let n(o) = -11*o**2 - 51*o - 108. Let m(z) = 39*z**2 + 153*z + 325. Let s(q) = 6*m(q) + 21*n(q). Factor s(b).
3*(b - 53)*(b + 2)
Let b(c) be the first derivative of -4/9*c + 23 + 1/6*c**4 + 2/45*c**5 + 2/27*c**3 - 1/3*c**2. Solve b(d) = 0 for d.
-2, -1, 1
Let y(s) be the third derivative of -s**7/42 + s**6/3 - 3*s**5/2 + 10*s**4/3 - 25*s**3/6 - s**2 - 121*s. Factor y(c).
-5*(c - 5)*(c - 1)**3
Let l(h) be the first derivative of 20 + 4/21*h**3 + 1/7*h**2 + 1/14*h**4 + 0*h. Factor l(v).
2*v*(v + 1)**2/7
Let t(o) = 2*o**2 + 54*o - 326. Let h(m) = -2*m**2 - 55*m + 330. Let s(j) = -6*h(j) - 5*t(j). What is c in s(c) = 0?
-35, 5
Factor 81 + p**3 - 164 + 5*p**2 + 15*p + 4*p**2 + 90.
(p + 1)**2*(p + 7)
Let g(x) be the third derivative of -x**8/20160 - x**7/2520 - x**6/720 - 13*x**5/60 + 13*x**2. Let s(v) be the third derivative of g(v). Factor s(a).
-(a + 1)**2
Find y, given that -1/3*y**5 + 5/3*y**3 + y**2 + 1/3*y**4 + 0 + 0*y = 0.
-1, 0, 3
Determine f, given that 16/3 - 4/3*f**3 + 4/3*f - 6*f**2 + 2/3*f**4 = 0.
-2, -1, 1, 4
Let o(q) be the second derivative of q**5/2 - 4*q**4 - 5*q**3/3 + 31*q + 3. Solve o(z) = 0.
-1/5, 0, 5
Let f be ((-15)/9)/((-35)/42). Factor -5*k**2 + 5*k**2 + 6*k**f - 3*k.
3*k*(2*k - 1)
Let 0*x + 8/13 + 6/13*x**4 - 14/13*x**2 + 2/13*x**5 - 2/13*x**3 = 0. What is x?
-2, -1, 1
Let f(u) be the third derivative of u**6/8 - 2*u**5/5 + u**4/8 + u**3 + 8*u**2 + 2*u. Factor f(l).
3*(l - 1)**2*(5*l + 2)
Let x(p) = -7*p**3 + 8*p**2 - 10*p + 4. Let q(c) = 8*c**3 - 8*c**2 + 10*c - 4. Suppose 4*o + 6 = 5*o. Let m(g) = o*x(g) + 5*q(g). Factor m(l).
-2*(l - 2)*(l - 1)**2
Factor -4/3*u - 2 - 1/6*u**2.
-(u + 2)*(u + 6)/6
Let u(n) = -4*n**3 - 120*n**2 - 270*n - 154. Let i(p) = -p**3 - 24*p**2 - 54*p - 31. Let o(w) = -14*i(w) + 3*u(w). Factor o(k).
2*(k - 14)*(k + 1)**2
Let a = -83 + 85. Let s be 3*a + 11 + -15 + 2. Determine x so that 0*x**2 + 0*x + 0 - 2/5*x**3 + 2/5*x**s = 0.
0, 1
Solve 17/7*r - 1/7*r**3 + 1/7*r**2 + 15/7 = 0 for r.
-3, -1, 5
Suppose 10 = -0*d + 5*d. Suppose -d*x = 5*n - 15, -4*x + 2*n + 19 = n. Factor -2*f**4 + 0*f**4 + x*f**2 - 3*f + f**2 - f.
-2*f*(f - 1)**2*(f + 2)
Let r(d) be the third derivative of 0*d + 0 - 1/840*d**7 + 0*d**4 - 7/240*d**5 + 50*d**2 + 0*d**3 + 1/60*d**6. What is v in r(v) = 0?
0, 1, 7
Let c be -2 + 1 + (-92)/(-60). Suppose 2*r - 7 = -3*m, 22*r + 5*m = 18*r + 15. Let 0 - 16/5*g**2 + c*g + 8/15*g**r - 14/5*g**4 + 74/15*g**3 = 0. What is g?
0, 1/4, 1, 2
Let k = 483604 - 30466426/63. Let t = -68/7 + k. Determine h, given that 2/9 + 2/9*h**3 - t*h - 2/9*h**2 = 0.
-1, 1
Suppose -402 - 1793 + 11773 - 528*t + 4*t**2 + 7846 = 0. What is t?
66
Let r(a) be the second derivative of -a**6/1800 - a**5/100 - 3*a**4/40 - 5*a**3/2 - 22*a. Let i(c) be the second derivative of r(c). Solve i(o) = 0.
-3
Let u(n) = 7*n**3 + 42*n**2 + 25*n - 254. Let x(q) = -50*q**3 - 295*q**2 - 175*q + 1780. Let h(p) = 15*u(p) + 2*x(p). Find a, given that h(a) = 0.
-5, 2
Let h(d) be the third derivative of -d**7/1260 + d**6/120 - d**5/30 - 7*d**4/24 + 10*d**2. Let y(c) be the second derivative of h(c). What is k in y(k) = 0?
1, 2
Let t(d) = -91*d**2 + 71*d. Suppose -14 = 5*y + 3*c + c, -y - 2*c = 4. Let b(k) = 18*k**2 - 14*k. Let z(q) = y*t(q) - 11*b(q). What is l in z(l) = 0?
0, 3/4
Let d(s) be the first derivative of -4 + 0*s + 1/2*s**4 + 0*s**2 + 0*s**3. Factor d(r).
2*r**3
Let r(j) = -j**5 + 10*j**4 - 44*j**3 + 56*j**2 - 63*j + 18. Let h(o) = o**3 + 2*o**2 + o. Let t(q) = -6*h(q) - r(q). Determine z, given that t(z) = 0.
1, 2, 3
Let r(o) be the third derivative of -o**9/15120 - o**8/4200 + o**6/900 + o**5/600 + 3*o**3 - 37*o**2. Let i(v) be the first derivative of r(v). Factor i(s).
-s*(s - 1)*(s + 1)**3/5
Let p be (4/(-10))/((-19)/(-475)). Let