 t(r) be the first derivative of -r**4/18 + 8*r**3/27 + 19*r**2/9 + 28*r/9 - 162. What is j in t(j) = 0?
-2, -1, 7
Suppose 264*q - 75/2*q**4 - 312*q**2 + 3*q**5 - 72 + 162*q**3 = 0. What is q?
1/2, 2, 6
Let s(x) be the first derivative of -5*x**6/2 + 141*x**5/5 - 207*x**4/2 + 128*x**3 - 48*x**2 - 639. What is l in s(l) = 0?
0, 2/5, 1, 4
Let q be ((-26)/(-3))/((12/109)/(-3)). Let j = 237 + q. Factor -j*y**3 + 1/3 - 3/2*y + 2*y**2.
-(y - 1)**2*(5*y - 2)/6
Let v(u) be the third derivative of u**5/210 - 31*u**4/42 + 961*u**3/21 - 142*u**2. Factor v(h).
2*(h - 31)**2/7
Let g = 11885/26088 + 3/1087. Let x = 7/8 + g. Factor -x*t**3 + 2*t**2 + 1/3 - 4/3*t + 1/3*t**4.
(t - 1)**4/3
Let c(j) be the second derivative of -j**4/12 - 9*j**3 + 55*j**2/2 - 81*j. Factor c(r).
-(r - 1)*(r + 55)
Suppose -6 = -p + 4. Factor 17*k - 2*k**3 - 15*k - p*k - 10*k**2.
-2*k*(k + 1)*(k + 4)
Let q(g) = -2*g + 33. Let v be q(14). What is k in 10*k**2 + k - 3*k - 2*k - 18*k**2 + 8*k**4 + 4*k**v = 0?
-1, 0, 1
Let n(l) be the third derivative of l**5/60 + 25*l**4/24 - 13*l**3/3 - 2*l**2 + 30*l. Find r, given that n(r) = 0.
-26, 1
Let d = -23308/9 + 2590. Find q such that 0*q**2 + d*q**4 + 0*q + 0*q**3 + 0 = 0.
0
Let o(m) be the third derivative of 1/8*m**4 + 0 + 0*m + 0*m**3 + 1/10*m**5 + 1/40*m**6 + 8*m**2. Factor o(y).
3*y*(y + 1)**2
Solve 12998*v**4 - 24*v + 6*v**3 + 1 - 12996*v**4 - 1 - 8*v**2 = 0 for v.
-3, -2, 0, 2
Let j(c) be the second derivative of -2*c**2 + 2*c**3 + 0 - c**4 + 23*c + 1/5*c**5. Factor j(q).
4*(q - 1)**3
Let o be (-2)/(-8) + (1 - (-552)/(-448)). Let f(y) be the second derivative of -o*y**7 + 0 - 6*y + 0*y**2 + 0*y**5 + 0*y**4 + 0*y**3 + 1/20*y**6. Factor f(p).
-3*p**4*(p - 2)/4
Let o = -2416 - -2416. Factor 2/3*f**3 - 5/3*f**4 + 0*f + o*f**2 + 0.
-f**3*(5*f - 2)/3
Suppose -11*h - 120 = -120. Let h + 1/4*o**2 - 1/4*o = 0. Calculate o.
0, 1
Let k be (-1 + 1)/(216/(-54)). Factor v + k - 1/2*v**2.
-v*(v - 2)/2
Let x(h) be the first derivative of 0*h**2 - 1/16*h**4 + 52 + 0*h - 1/4*h**3. Factor x(k).
-k**2*(k + 3)/4
Let u(x) be the first derivative of -x**3/4 - 39*x**2/8 - 27*x + 394. Let u(q) = 0. What is q?
-9, -4
Let m(c) be the second derivative of -c**3/6 + 15*c**2/2 + 12*c. Let u be m(15). Factor -3/7 + u*t + 3/7*t**2.
3*(t - 1)*(t + 1)/7
Let y(t) = 12*t + 4*t**3 - 5*t**3 - 4*t**3 + 29*t**2 - 8 - 2*t. Let x(r) = -3*r**3 + 19*r**2 + 7*r - 5. Let a(p) = -8*x(p) + 5*y(p). Factor a(z).
-z*(z + 1)*(z + 6)
Let j(n) = n**3 - n**2 - 1. Let a = -33 + 12. Let x = 23 + a. Let z(d) = -10*d**3 + 11*d**2 - d + 11. Let c(m) = x*z(m) + 22*j(m). Factor c(r).
2*r*(r - 1)*(r + 1)
Let t(s) be the second derivative of s**4 - 35*s**3/2 + 201*s**2/2 - 2*s. Let k(p) = -3*p**2 + 26*p - 50. Let n(b) = -9*k(b) - 2*t(b). Solve n(u) = 0 for u.
4
Let w(h) be the third derivative of 0*h**4 + 0 - 1/1050*h**7 - 7*h**2 + 0*h**3 + 0*h**6 + 1/300*h**5 + 0*h. Find g such that w(g) = 0.
-1, 0, 1
Factor 0*j + 18633*j**2 + 0*j - 2*j**3 - 18581*j**2.
-2*j**2*(j - 26)
Let k(a) = -41*a**2 + 527*a - 15571. Let y(q) = 13*q**2 - 174*q + 5190. Let d(b) = -6*k(b) - 19*y(b). Factor d(f).
-(f - 72)**2
Let v(j) be the first derivative of 0*j**2 - j**4 + 2/5*j**5 + 0*j**3 - 19 + 0*j. Factor v(a).
2*a**3*(a - 2)
Let h(m) be the first derivative of -10*m**2 + 5/4*m**4 + m**5 + 40*m + 12 - 10*m**3. Factor h(g).
5*(g - 2)*(g - 1)*(g + 2)**2
Factor -63*j**2 - 117*j**2 + 378*j**3 - 12*j + 18*j + 18*j - 147*j**4.
-3*j*(j - 2)*(7*j - 2)**2
Let x = -83 + 47. Let d = x + 145/4. Factor -1/4*b + d*b**3 + 0 + 0*b**2.
b*(b - 1)*(b + 1)/4
Suppose 13*f = 30*f. Let u(x) be the third derivative of 1/24*x**4 + f - 1/30*x**5 + 0*x**3 - 2*x**2 + 0*x + 1/120*x**6. Let u(t) = 0. What is t?
0, 1
Suppose 21 = j + 2*j - 3*d, 0 = 3*j + 5*d - 13. Factor -8*v - j*v + 6*v - 5 - 2*v - 5*v**2.
-5*(v + 1)**2
Let n(w) be the first derivative of 15*w**3 + 9*w**4 + 6*w**2 - 12/5*w**5 - 2 + 0*w. Factor n(h).
-3*h*(h - 4)*(2*h + 1)**2
Let c be 3/(6/16) + -45 + 2233/58. Suppose 0 = -6*v + 4*v. Factor v - c*p + 9/4*p**2.
3*p*(3*p - 2)/4
Let f be (-2)/(-5)*(-2 - 203). Let c = 250/3 + f. Factor 1/3*w**2 + c*w + 4/3.
(w + 2)**2/3
Suppose 0*b = 3*b - 2*l - 2, -b + 10 = 4*l. Factor 8*q**b - 4*q**3 - 10*q**2 + 0*q**2 + 3*q + q**5 + 0*q**3 + 2.
(q - 2)*(q - 1)*(q + 1)**3
Find w such that 23*w**2 + 20*w**2 + 16*w - 39*w**2 = 0.
-4, 0
Suppose -2*u + 9 = -1. Find g such that u + 32*g + 2*g**2 + 8*g**2 + 54*g**2 - 1 = 0.
-1/4
Let k be (3 - (-88)/(0 + -8))/(14/(-12)). Solve -k*y**4 + 0 + 3/7*y - 24/7*y**2 + 54/7*y**3 + 15/7*y**5 = 0 for y.
0, 1/5, 1
Let b(c) be the first derivative of -2/21*c**3 + 1/35*c**5 + 9/7*c - 6/7*c**2 - 4 + 1/7*c**4. Let b(j) = 0. Calculate j.
-3, 1
Let -23/5*z**2 + 71/10*z**3 + 1/10*z**5 + 0*z + 0 - 13/5*z**4 = 0. Calculate z.
0, 1, 2, 23
Suppose -98*p + 1689 = 1689. Suppose -1/4*t**3 - 3/4*t**2 + p - 1/2*t = 0. Calculate t.
-2, -1, 0
Factor -2*o**2 + 355 - 10*o + 4*o**2 - 347.
2*(o - 4)*(o - 1)
Let y(l) be the second derivative of 3*l**5/10 + 31*l**4/4 + 43*l**3/2 + 21*l**2 - 505*l. Solve y(n) = 0 for n.
-14, -1, -1/2
Let n(i) be the first derivative of i**3/9 + i**2/2 - 4*i/3 - 18. Factor n(g).
(g - 1)*(g + 4)/3
Let b(d) = 2*d**2 + 2*d - 1. Let n(p) = 11*p**2 + 6*p + 10. Let i(m) = 6*b(m) - n(m). Factor i(j).
(j - 2)*(j + 8)
Let r(p) be the first derivative of -3*p**5/160 + p**3/16 - 7*p - 10. Let n(z) be the first derivative of r(z). Solve n(b) = 0.
-1, 0, 1
Factor -44/9 + 2/9*h**2 - 2*h.
2*(h - 11)*(h + 2)/9
Let k = -6206 + 12413/2. Solve -3/2*d + k*d**2 + 1 = 0.
1, 2
Let t(i) be the third derivative of 363*i**5/40 + 77*i**4/4 + 49*i**3/3 - 338*i**2. Factor t(b).
(33*b + 14)**2/2
Factor 3*a + 5214*a**2 - 2609*a**2 + a - 2607*a**2.
-2*a*(a - 2)
Let k(b) be the second derivative of b**7/84 - b**6/20 + b**5/20 - 127*b. Solve k(s) = 0 for s.
0, 1, 2
Let h be ((-6)/9)/((-12)/(-18)). Let a be (1 + 15/(-12))*h. Factor 0 + 1/2*v - a*v**2 - 1/4*v**3.
-v*(v - 1)*(v + 2)/4
Suppose -133/2*q**2 - 38*q**3 + 3/2*q**4 + 0 - 27*q = 0. What is q?
-1, -2/3, 0, 27
Let z be -27*(-9)/(-108)*11/(-21). Let m = z + -3/7. Factor 0*d - d**2 + m*d**4 + 0 - 1/4*d**5 + 0*d**3.
-d**2*(d - 2)**2*(d + 1)/4
Suppose 5*p = a - 15, 0 = -2*a + 3*p + p + 60. Let g be -2 + a/15 - 0. Factor 2*j**4 + g*j**5 + 2*j**3 + 0 + 0*j + 2/3*j**2.
2*j**2*(j + 1)**3/3
Suppose 4 + 2 = 3*s. Let t be (-61)/(-671) + (-1327)/(-44). Determine a, given that -9/4*a - 1/2 - 6*a**4 + 13/2*a**s + t*a**3 - 28*a**5 = 0.
-1, -1/4, 2/7, 1
Let b(t) be the second derivative of -t**9/52920 - t**8/11760 - t**7/8820 - t**4/6 - 12*t. Let m(j) be the third derivative of b(j). Factor m(y).
-2*y**2*(y + 1)**2/7
Let d(n) be the first derivative of -n**5/90 + n**4/9 + 11*n**2/2 - 13. Let m(c) be the second derivative of d(c). Factor m(r).
-2*r*(r - 4)/3
Let f be 210/45*(-3*(-185)/315 - 1). Factor 16/9*q + 2/9*q**2 + f.
2*(q + 4)**2/9
Let s be ((-30)/28)/(18/(-7)). Let m(k) be the second derivative of s*k**3 - 2*k - 1/6*k**4 - 1/4*k**2 + 0. Suppose m(z) = 0. Calculate z.
1/4, 1
Suppose 0*t + 8 = -j - 4*t, t + 2 = 4*j. Factor 8*r**2 - 16*r - 4*r**3 + j*r**2 + 12*r.
-4*r*(r - 1)**2
Let k be -1 - (-11)/2 - (-2 + 5). Let p(t) be the first derivative of k*t + 1 + 1/6*t**3 + t**2. Factor p(d).
(d + 1)*(d + 3)/2
Let g(r) be the second derivative of -r**6/315 - 2*r**5/105 - r**4/63 + 4*r**3/63 + r**2/7 + 44*r. What is s in g(s) = 0?
-3, -1, 1
Suppose 4*j**3 + 0 + 2/3*j**5 + 2/3*j + 8/3*j**2 + 8/3*j**4 = 0. Calculate j.
-1, 0
Suppose -985*c + 1967*c = 949*c + 66. Factor 3/2*b**c + 2*b**3 + 1/2*b**4 - 2 - 2*b.
(b - 1)*(b + 1)*(b + 2)**2/2
Let s(t) be the third derivative of -t**6/540 + t**5/27 - t**4/4 + 2*t**3/3 + 5*t**2. Suppose s(x) = 0. What is x?
1, 3, 6
Suppose -7 = -10*l + 3*l. Suppose -3*u + 1 = l. Solve 3/7*h**4 + 3/7*h**3 + u*h**2 + 0*h + 0 = 0 for h.
-1, 0
Let w(z) be the second derivative of z**6/480 + z**5/120 + z**4/96 + 4*z**2 - 17*z. Let x(q) be the first derivative of w(q). Factor x(h).
h*(h + 1)**2/4
Suppose -4*t + 24 = 0, 2*t = s - 3 + 13. Factor -3/7*b**3 + 3/7*b**s + 0 + 6/7*b.
-3*b*(b - 2)*(b + 1)/7
Determine t, given that -3*t**3 - 11*t**3 - 9*t**3 - 310*t - 145*t**2 + 29*t**3 - t**3 = 0.
-2, 0, 31
Solve -152*a**2 - 7 + 7 + 148*a**2 - 20*a = 0.
-5, 0
Let z(a) be the second derivative o