or j(x).
2*x**3*(x + 18)**2/3
Let k(u) be the first derivative of 3*u**4/4 - 6*u**3 + 9*u**2/2 + 30*u + 44. Suppose k(w) = 0. Calculate w.
-1, 2, 5
Let y(j) be the second derivative of 0*j**3 + 1/25*j**6 + 0*j**2 - 1/30*j**4 - 2/105*j**7 - 5*j + 0 + 0*j**5. Solve y(f) = 0.
-1/2, 0, 1
Let f = -1899 + 15195/8. Let u(z) be the first derivative of 0*z + 3/8*z**3 - 6 + 3/32*z**4 + f*z**2. Determine t so that u(t) = 0.
-2, -1, 0
Let h = -72 - -50. Let n be (-8)/(-4) - 2 - h. Suppose 2*x + 4*x**2 + n*x**3 - 8*x**2 - 20*x**3 = 0. Calculate x.
0, 1
Let z(v) = -8*v**3 - 20*v**2 + 5. Let k(w) = -3*w**3 - 9*w**2 + 2. Let a(q) = -5*k(q) + 2*z(q). Factor a(u).
-u**2*(u - 5)
Let b(w) = 49*w**3 + 2*w**2 + 2*w + 1. Let o be b(-1). Let p be 12/o - ((-26)/8 + 1). Determine x so that 10/3*x**p - 16/3*x - 2/3*x**3 + 8/3 = 0.
1, 2
Suppose 3*a - 303 = -3*i, -2*i = -0*a + 3*a - 300. Suppose 76 = 3*z - 2*l, -2*z - 2*z + a = -l. Factor 4*m - 24 + z + 4*m**2.
4*m*(m + 1)
Let a(q) be the first derivative of q**4/28 - 160*q**3/21 + 3200*q**2/7 - 234. Factor a(c).
c*(c - 80)**2/7
Let b = -29 - -37. Let m = -5 + b. What is v in -8 - 2*v + v**2 + 7 + v**m + v = 0?
-1, 1
Let n(p) = -p**4 - p**3 - p**2 + p - 1. Let k(h) = 2*h**4 + 9*h**3 + 6*h**2 - 39*h + 25. Let b(x) = -k(x) - n(x). Factor b(j).
-(j - 1)**2*(j + 4)*(j + 6)
Let j = 37 - 119. Let x = 86 + j. Factor 0*c + 0*c**3 + 1/4 - 1/2*c**2 + 1/4*c**x.
(c - 1)**2*(c + 1)**2/4
Suppose 0 = -18*r + 17*r + 42. Factor 30*g**4 + 62*g**2 - 37*g**3 + 0*g - r*g**2 - 4*g - 9*g**5.
-g*(g - 1)**2*(3*g - 2)**2
Factor -6/5*y**2 + 0*y - 3/5*y**3 + 0.
-3*y**2*(y + 2)/5
Let h(m) be the first derivative of -25/2*m**2 + 10*m + 1 - 10/3*m**3 + 25/4*m**4. Determine c, given that h(c) = 0.
-1, 2/5, 1
Let t(y) be the first derivative of y**4/4 + 4*y**3/3 + 2*y**2 - 40. Let t(i) = 0. What is i?
-2, 0
Let u(l) = 6*l**3 + l**2 - 6*l - 6. Suppose 2*p + 7 = 3*j, 5*j + 2*p = 3 + 14. Let n(z) = -3*z**3 + 3*z + 3. Let m(h) = j*u(h) + 5*n(h). Factor m(k).
3*(k - 1)*(k + 1)**2
Let v(g) be the second derivative of -1/150*g**5 + 14*g - 1/90*g**4 + 1/15*g**2 + 0 + 1/45*g**3. Factor v(t).
-2*(t - 1)*(t + 1)**2/15
Factor -7*a**3 + 20*a**2 + 26*a**2 + 32 + 3*a**3 - 54*a**2 + 16*a.
-4*(a - 2)*(a + 2)**2
Let y(f) be the third derivative of -f**7/1680 - f**6/40 - 9*f**5/20 + 23*f**4/24 + 14*f**2. Let q(a) be the second derivative of y(a). Solve q(z) = 0.
-6
Suppose 19*q - 46 = 17*q. Let o = q - 91/4. Determine d so that 1/4 + 1/2*d + o*d**2 = 0.
-1
Suppose 7*a = 11*a + 4. Let h(t) = 12*t**4 - 24*t**3 - 16*t**2 - 16*t. Let l(w) = w**4 - w**3 - w**2 - w. Let i(c) = a*h(c) + 16*l(c). Solve i(x) = 0.
-2, 0
Factor -1/7*o**2 + 54/7 + 53/7*o.
-(o - 54)*(o + 1)/7
Let u(f) = 3*f**2 - 33*f + 10. Let p be u(11). Let r be 5/(-2)*1*(-12)/p. Solve 0 - 70/11*b**4 - 16/11*b - 228/11*b**r + 120/11*b**2 + 294/11*b**5 = 0 for b.
-1, 0, 2/7, 2/3
Let i(j) be the third derivative of -5*j**7/924 + j**6/198 - j**5/660 + 7*j**3/6 - 10*j**2. Let w(m) be the first derivative of i(m). Let w(r) = 0. What is r?
0, 1/5
Let l be ((-72)/(-16))/(22/16 + -1). Suppose 9*d**2 + 18 + l*d - 3*d**2 - 4*d**2 = 0. What is d?
-3
Let d(g) be the first derivative of g**4/54 + g**3/27 + 3*g - 4. Let w(s) be the first derivative of d(s). Factor w(r).
2*r*(r + 1)/9
Let b(d) be the second derivative of d**7/42 + d**6/3 - 13*d**5/20 - 11*d**4/6 - 2*d + 46. Factor b(r).
r**2*(r - 2)*(r + 1)*(r + 11)
Let m be (6/9)/((-8)/1356). Let x = 198 + m. Solve 241*k + 2197*k**3 - x*k + 742*k**2 + 272*k**2 + 8 = 0 for k.
-2/13
Let x(c) be the third derivative of 0*c**3 - 1/160*c**6 + 1/48*c**4 - 1/48*c**5 + 0*c + 0 - c**2. Let x(r) = 0. What is r?
-2, 0, 1/3
Let m(h) be the second derivative of -1/30*h**4 - 2*h - 4/15*h**3 + 0 + 1/75*h**6 + 0*h**2 + 2/25*h**5. Factor m(y).
2*y*(y - 1)*(y + 1)*(y + 4)/5
Let t(j) be the first derivative of j**6/24 + j**5/20 - j**4/8 + 71. Factor t(o).
o**3*(o - 1)*(o + 2)/4
Let -137*v**2 + 122*v + 88*v + 277*v**2 + 86*v - 4*v**3 = 0. Calculate v.
-2, 0, 37
Factor 5*z**4 + 392 - 3*z**4 - 476*z + 2*z**4 + 44*z**3 + 20*z**2 + 16*z**2.
4*(z - 2)*(z - 1)*(z + 7)**2
Factor 0 + 0*z - 28/9*z**3 - 8/3*z**2 - 4/9*z**4.
-4*z**2*(z + 1)*(z + 6)/9
Suppose -3*l + 2 = -n + 3*n, n - 1 = -2*l. Let t = 15107 - 15104. Find x, given that 2/3*x**t + 1/3*x**4 + 1/3*x**2 + 0*x + l = 0.
-1, 0
Let o be (16 + -12)/(-5 - -7). Factor -8/5*z - 2/5*z**o - 8/5.
-2*(z + 2)**2/5
Let l(v) be the first derivative of v**4/18 - 38*v**3/27 + 34*v**2/9 + 85. Factor l(y).
2*y*(y - 17)*(y - 2)/9
Determine z so that -2/7*z + 1/7*z**3 + 0 - 1/7*z**2 = 0.
-1, 0, 2
Factor 1152 + 21*w - 24*w**2 - 1152 + 11*w**3 - 8*w**3.
3*w*(w - 7)*(w - 1)
Let u = 56 - 48. Let o(y) be the third derivative of 0*y**3 + 0 + 0*y**7 - 1/504*y**u + 1/180*y**6 + 4*y**2 + 0*y + 0*y**5 + 0*y**4. Solve o(s) = 0 for s.
-1, 0, 1
Let i(v) = 8*v**3 - 2*v**2 - 3*v - 2. Let z be i(-1). Let o = z - -11. Factor -2/5 - 8/5*c**3 - 12/5*c - 18/5*c**o.
-2*(c + 1)**2*(4*c + 1)/5
Let z(g) = 9*g**3 - 32*g**2 + 89*g - 67. Let k(b) = -44*b**3 + 160*b**2 - 444*b + 336. Let m(n) = -5*k(n) - 24*z(n). Find u, given that m(u) = 0.
2, 3
Suppose 4*x = -4*n + 72, 5*x - n = x + 97. Let c be (-2)/(-14) + x/161. Suppose 8/7 + 8/7*j + c*j**2 = 0. Calculate j.
-2
Let 1/3*l**2 - 4/3*l + 1/6*l**4 + 0 + 5/6*l**3 = 0. Calculate l.
-4, -2, 0, 1
Let y(d) be the second derivative of d**4/16 - 9*d**3/2 + 243*d**2/2 - 48*d. Factor y(q).
3*(q - 18)**2/4
Let r = -3 + 4. Let o(t) = -t**3 - t**2 + 1. Let a(i) = 6 - 4*i - 8*i**3 + 6*i**3 - 2 - 4*i**2 + 2*i**2. Let k(g) = r*a(g) - 4*o(g). Let k(u) = 0. What is u?
-2, 0, 1
Let r = -31 - -34. Find w such that -2*w**3 - 6*w**2 + 56*w + 6*w**r - 54*w = 0.
0, 1/2, 1
Let f be (2 + -3)/((-2)/8). Let a(z) = -5*z**2 - z + 4. Let m(j) = 9*j**2 + 2*j - 7. Let y = 71 - 64. Let w(i) = f*m(i) + y*a(i). Factor w(l).
l*(l + 1)
Suppose -109*c = -110*c + 7. Let z be 2/28 - (-3)/c. Factor 0 + z*d - 1/4*d**2.
-d*(d - 2)/4
Let r(b) be the first derivative of 0*b**2 - 8/9*b**3 + 9 + 4/15*b**5 + 0*b**4 + 4/3*b. Factor r(k).
4*(k - 1)**2*(k + 1)**2/3
Let a(v) = -12*v**3 - 144*v**2 + 66*v + 144. Let u = -87 + 114. Let i(n) = -n**3 - 11*n**2 + 5*n + 11. Let x(p) = u*i(p) - 2*a(p). Factor x(g).
-3*(g - 1)*(g + 1)*(g + 3)
Factor -294/5*f - 42/5*f**2 - 2/5*f**3 - 686/5.
-2*(f + 7)**3/5
Let d(r) be the second derivative of -r**7/42 + 2*r**6/5 - 7*r**5/5 + r**4/2 + 29*r**3/6 - 9*r**2 - 45*r. Determine c so that d(c) = 0.
-1, 1, 2, 9
Let u(m) be the third derivative of m**6/12 - 7*m**5/30 - 2*m**4/3 + 4*m**3/3 + 43*m**2. Determine n so that u(n) = 0.
-1, 2/5, 2
Let q(d) be the first derivative of d**6/54 + 8*d**5/9 + 167*d**4/12 + 1442*d**3/27 - 3626*d**2/9 - 2744*d/3 + 283. Factor q(x).
(x - 3)*(x + 1)*(x + 14)**3/9
Let x = 37 - 24. Let r = x + -11. Factor 15*a**2 - 9*a**2 + 3*a**3 - 2*a - 5*a**r.
a*(a + 1)*(3*a - 2)
Let m(h) = 38*h**3 + 187*h**2 - 138*h - 3. Let u(w) = -495*w**3 - 2430*w**2 + 1800*w + 40. Let g(z) = 40*m(z) + 3*u(z). Factor g(p).
5*p*(p + 6)*(7*p - 4)
Let p(h) = -5*h**2 + 55*h + 5. Let q(i) = i - 1. Let r(a) = -p(a) - 5*q(a). Factor r(u).
5*u*(u - 12)
Let n(g) = g**2. Let x(h) = h**2 - 14*h. Let r(s) = -2*n(s) - 2*x(s). Solve r(w) = 0.
0, 7
Let c = -858 - -860. Factor 162/5*j**3 - 18*j**c - 8/5 - 64/5*j.
2*(j - 1)*(9*j + 2)**2/5
Suppose -3*b - 3*t - 3 = 0, 2*t + 8 = -3*b - b. Let l be 2/((-15)/6 - b). Let l*g**5 - 4*g**3 - 3*g**5 + 3*g**3 = 0. What is g?
-1, 0, 1
Suppose q = -5*m - 5, -2*m - 5 = 3*q + 3*m. Factor -4*r**2 + 50*r - r**2 - 30*r + q*r**2.
-5*r*(r - 4)
Let w be 4/66*9 + (-54)/(-22). Let i(u) be the third derivative of 0 - 9*u**2 + 1/80*u**5 + 0*u**w + 0*u + 0*u**4. Solve i(j) = 0 for j.
0
Let w(d) be the first derivative of 0*d**2 - 22 - 4/15*d**3 + 4/5*d. Factor w(j).
-4*(j - 1)*(j + 1)/5
Let i(k) be the first derivative of -5 + 0*k - 1/3*k**3 + k**2. What is w in i(w) = 0?
0, 2
Let k(b) be the second derivative of -b**6/1080 + b**5/120 - 2*b**3/3 - 13*b. Let p(l) be the second derivative of k(l). Factor p(d).
-d*(d - 3)/3
Factor -741*l**2 + 345*l**3 + 18*l**2 + 57*l - 57*l**4 + 3*l**5 - 192 + 377*l + 190*l.
3*(l - 8)**2*(l - 1)**3
Let n(y) be the second derivative of 2*y**6/135 - 2*y**5/45 + y + 3. Let n(z) = 0. What is z?
0, 2
Let b(y) be the first deri