5*k - 430*k + 5*k**2 + 5784 + 1637 + 50*k.
5*(k - 40)*(k - 37)
Let i(u) be the second derivative of 8/3*u**3 + 0*u**2 + 2/15*u**6 - 3/5*u**5 + 0*u**4 + 3*u + 6. Solve i(w) = 0 for w.
-1, 0, 2
Let k(g) be the second derivative of 11*g**6/10 + 399*g**5/10 + 408*g**4 + 144*g**3 - 1064*g. Solve k(i) = 0 for i.
-12, -2/11, 0
Let k be 2/(-9) + (-6 - (-7040)/90). Factor 157*z**3 - 154*z**3 + 27*z**2 + 22*z + 20*z - k.
3*(z - 1)*(z + 4)*(z + 6)
Factor 6363*y**3 - 150 - 285*y**2 + 241*y + 3*y**4 + 128*y - 6300*y**3.
3*(y - 2)*(y - 1)**2*(y + 25)
Let w(q) be the third derivative of 28 + 0*q + 1/660*q**6 - 2/165*q**5 + 1/132*q**4 + 2/11*q**3 + 2*q**2. What is m in w(m) = 0?
-1, 2, 3
Let o(k) = -8*k**3 - 387*k**2 + 229*k - 782. Let y be o(-49). Suppose 5/3*l**3 + 455/3*l - 245 - 85/3*l**y = 0. Calculate l.
3, 7
Let v(m) be the second derivative of -m**4/30 - 19*m**3/5 + 828*m**2/5 - 2254*m. Factor v(a).
-2*(a - 12)*(a + 69)/5
Factor 3/5*t**3 + 0 - 234*t**2 + 22815*t.
3*t*(t - 195)**2/5
Let m be 2/((-3)/(-4 + -47)). Factor -12*r**3 + 29 - 93 - 18*r**2 - r**4 - m*r**2 - 29*r - 67*r.
-(r + 2)**2*(r + 4)**2
Let n(q) be the third derivative of -155*q + q**2 + 1/36*q**8 - 29/18*q**4 + 4/21*q**7 - 8/15*q**5 + 0 - 4/3*q**3 + 11/45*q**6. Solve n(i) = 0 for i.
-3, -1, -2/7, 1
Let u be (-33 - 127/(-2)) + -30. Determine v, given that -u*v + 1/6*v**5 + 2/3*v**2 - 2/3*v**4 + 1/3*v**3 + 0 = 0.
-1, 0, 1, 3
Let b(y) be the second derivative of 1/3*y**3 + 1/5*y**6 + 11/10*y**5 - 2*y**2 + 11/6*y**4 + 8*y + 2. Determine c, given that b(c) = 0.
-2, -1, 1/3
Let l(f) be the first derivative of -3*f**4/8 - 3*f**3/2 - 1170. Factor l(y).
-3*y**2*(y + 3)/2
Let w = 376 - 376. Let q be 30/60*w/1. Factor -2/9*m**3 + q - 4/9*m**2 - 2/9*m.
-2*m*(m + 1)**2/9
Let b(x) be the first derivative of 14*x**5/15 - 45*x**4/2 - 166*x**3/3 - 65*x**2/3 + 28*x - 4134. Suppose b(n) = 0. Calculate n.
-1, 2/7, 21
Factor 157/3*q + 52 + 1/3*q**2.
(q + 1)*(q + 156)/3
Suppose -434 = -355*b + 294 + 337. Let -21/10*r**2 - 4/5*r**b - 1/10*r**4 - 4/5 - 11/5*r = 0. What is r?
-4, -2, -1
Let n(i) be the third derivative of i**7/735 - 13*i**6/84 + 181*i**5/35 - 32*i**4/3 - 2048*i**3/21 - 5*i**2 + 227*i. Determine g so that n(g) = 0.
-1, 2, 32
Let c(g) = 102*g - 614. Let n be c(6). Let a(t) = 23*t**2 + 47*t + 4. Let s be a(n). Find r such that 25/2*r + 15/4*r**4 - s - 91/4*r**2 + 17/2*r**3 = 0.
-4, 1/3, 2/5, 1
Let c(z) be the third derivative of -z**7/42 - 175*z**6/24 + 59*z**5/2 + 559*z**2. Solve c(n) = 0 for n.
-177, 0, 2
Factor -124/5*o - 6*o**2 - 96/5 - 2/5*o**3.
-2*(o + 1)*(o + 6)*(o + 8)/5
Let 5/2*o**3 - 205/2*o + 285/2 - 85/2*o**2 = 0. Calculate o.
-3, 1, 19
Factor 3/4*w**3 + 10533/4*w**2 + 9250605/4*w + 9240075/4.
3*(w + 1)*(w + 1755)**2/4
Let v be ((-1979)/4)/(6 + -7). Let x = 496 - v. Solve -x*j**5 + 2*j**4 - 3*j + 0 - 5*j**2 + 29/4*j**3 = 0.
-2, -2/5, 0, 1, 3
Let n(p) = -2*p**2 - 31*p. Suppose 2*h - 4*r = -14, -r = 3*h - 3*r + 37. Let x be n(h). Solve -x*z**2 + 12*z + 87 - 42 - 36 - 5*z**3 - z**3 = 0.
-3, -1/2, 1
Let d = -421461 + 1264387/3. Let f = -3 + 3. Find g, given that 4/3*g**2 + f + 1/3*g**3 + d*g = 0.
-2, 0
Let n = 3037/12 + -179/4. Suppose -50/3*l - n - 1/3*l**2 = 0. Calculate l.
-25
Determine v so that 0*v - 4/3*v**2 + 64/3 = 0.
-4, 4
Suppose 68 + 4 = 6*x. Let -78*k**4 - x*k**2 - 82*k**4 + 3*k**5 + 168*k**4 + 4*k - 3*k**3 = 0. Calculate k.
-2, 0, 1/3, 1
Let q(x) be the first derivative of -x**3/15 + 2*x**2/5 + 117*x/5 + 1799. Factor q(i).
-(i - 13)*(i + 9)/5
Let i(n) be the third derivative of -n**7/210 + 19*n**6/120 + 11*n**5/30 - 5*n**4/3 + 2*n**2 - 166. What is w in i(w) = 0?
-2, 0, 1, 20
Let u(f) = f. Suppose -38 = -2*i - 15*j + 19*j, 5*i - 5*j - 85 = 0. Let r(s) = -5*s**3 - 5*s**2 + 15*s. Let a(q) = i*u(q) - r(q). Factor a(o).
5*o**2*(o + 1)
Determine j so that 15/4 - 3/8*j**4 - 27/8*j**2 - 33/8*j + 33/8*j**3 = 0.
-1, 1, 10
Suppose 570*m - 552*m = 72. Let t(u) be the third derivative of -1/350*u**7 + 0*u**3 - 1/40*u**m + 1/200*u**6 + 0*u + 1/100*u**5 + 0 - 20*u**2. Factor t(r).
-3*r*(r - 1)**2*(r + 1)/5
Let l(n) be the second derivative of n**4/84 + 601*n**3/21 - 1018*n - 1. Factor l(p).
p*(p + 1202)/7
Let s = 1004119 + -1003971. Find b such that 17*b**4 - 28/3*b**3 + 800/3*b - 7/3*b**5 - 64 - s*b**2 = 0.
-3, 2/7, 2, 4
Let g(f) = f**3 - 66*f**2 - 71*f - 2. Let r(x) = -66*x**2 - 72*x - 3. Suppose -34*t - 17 = 51. Let w(n) = t*r(n) + 3*g(n). Suppose w(h) = 0. What is h?
-1, 0, 23
Let g be (-4 - 2) + (-29)/((-319)/132). Let x(v) = -44*v + 266. Let i be x(g). Solve -2 - 2/9*c**i + 4/3*c = 0.
3
Let z(q) be the second derivative of -q**5/70 - 31*q**4/42 - 60*q**3/7 - 288*q**2/7 - 5530*q. Factor z(t).
-2*(t + 3)*(t + 4)*(t + 24)/7
Let n(p) = 5*p - 8. Let z be n(-7). Let i = z + 49. Solve -90*a + 46*a + 42*a + i - 8*a**2 = 0.
-1, 3/4
Let y(m) = -16*m**3 - 1121*m**2 - 4377*m - 4378. Let d(f) = 57*f**3 + 3924*f**2 + 15318*f + 15324. Let a(l) = 5*d(l) + 18*y(l). Factor a(k).
-3*(k + 2)**2*(k + 182)
Let s(m) = -3*m**2 - 92*m + 71. Let d(x) = -6*x**2 - 189*x + 141. Let g(p) = 4*d(p) - 9*s(p). Factor g(l).
3*(l - 1)*(l + 25)
Let v be ((-124)/14)/((-180)/140). Let i = -2803 + 2806. Solve 20/9*c**4 - 38/9*c + v*c**i + 4/3 - 8/9*c**2 = 0 for c.
-3, -1, 2/5, 1/2
Let g(f) = 200*f + 35202. Let q be g(-176). Determine a so that -1/3*a**q + 2/3*a + 0 = 0.
0, 2
Factor 10846 - 175*s - 325*s - 10681 + 15*s**2.
5*(s - 33)*(3*s - 1)
Let q(u) = 4*u**2 - 6*u - 2. Let m = -2 - -1. Let f(z) = -2*z**2 + 8 + 3*z**2 - 7 + 0 - z - 2. Let h(d) = m*q(d) + 2*f(d). Solve h(j) = 0 for j.
0, 2
Suppose -3*t - 9*t - 92 = -92. Factor t*z + 0 - 2/7*z**2 + 4/7*z**3 - 2/7*z**4.
-2*z**2*(z - 1)**2/7
Let m(o) = 4*o + 148. Let v be m(-38). Let u be (-3)/27*v*12. Factor -u + 16/3*r**2 + 4/3*r**3 - 4/3*r.
4*(r - 1)*(r + 1)*(r + 4)/3
Suppose -266*f - 481 + 876 = -935. Factor 0*q + 0*q**4 - 1/6*q**f - 1/3*q**2 + 1/2*q**3 + 0.
-q**2*(q - 1)**2*(q + 2)/6
Let d(h) = 125*h - 872. Let a be d(7). Let r(x) be the second derivative of 0 + 1/80*x**5 - 4*x + 0*x**2 + 1/8*x**a - 1/12*x**4. Solve r(l) = 0.
0, 1, 3
Let w be 77 - ((-2006984)/112 - -28). Determine u so that -1/2*u**3 - w - 3267/2*u - 99/2*u**2 = 0.
-33
Let i be (28/(-10))/((28/10)/(-7)). Let t(b) be the second derivative of 1/15*b**6 + 0*b**2 + 1/20*b**5 - 14*b + 0*b**4 + 1/42*b**i + 0*b**3 + 0. Factor t(u).
u**3*(u + 1)**2
Suppose -18 = -37*s + 28*s. Factor 2*k**s + 15*k**2 - 10*k + 12 - 19*k**2.
-2*(k - 1)*(k + 6)
Let d(v) be the second derivative of -2*v**5/5 - 189*v**4/2 + 238*v**3 - 143*v**2 + 211*v - 5. Factor d(t).
-2*(t - 1)*(t + 143)*(4*t - 1)
Let x(v) = 19*v**2 - 54*v + 122. Let j(w) = 69*w**2 - 189*w + 426. Let c(o) = 5*j(o) - 18*x(o). Factor c(h).
3*(h - 2)*(h + 11)
Let g(u) = u**2 + 36*u + 82. Let v(p) = -3*p**2 - 72*p - 167. Let q(s) = 15*g(s) + 6*v(s). Let q(o) = 0. What is o?
-2, 38
Let l(a) be the first derivative of a**7/70 + a**6/40 - 23*a**5/20 + 39*a**4/8 - 9*a**3 + 66*a**2 - 143. Let q(t) be the second derivative of l(t). Factor q(b).
3*(b - 3)*(b - 1)**2*(b + 6)
Factor -72 + 283/7*w**2 + 159/7*w + 1/7*w**4 + 61/7*w**3.
(w - 1)*(w + 3)**2*(w + 56)/7
Factor 961/9*c**2 + 4 - 124/3*c.
(31*c - 6)**2/9
Let l(g) be the second derivative of -g**5/10 + 71*g**4/6 + 743*g. Factor l(w).
-2*w**2*(w - 71)
Let u(p) be the second derivative of -7*p**5/5 + 40*p**4/3 + 134*p**3 + 108*p**2 + 235*p - 3. Factor u(k).
-4*(k - 9)*(k + 3)*(7*k + 2)
Let w(v) be the first derivative of -276 - 45*v**3 + 0*v**2 + 3/4*v**4 + 0*v. Factor w(j).
3*j**2*(j - 45)
Let u = -410 - -441. Let -51*q**2 + 92*q**2 + 4 - 38*q**2 - 24*q - u*q**2 = 0. Calculate q.
-1, 1/7
Let 1339*l**4 - 1323*l**4 + 3*l**5 - l**5 + 22*l**3 - 12*l**3 - 100*l**2 = 0. Calculate l.
-5, 0, 2
Let h(q) be the first derivative of -71*q**4 + 280*q**3/3 + 2*q**2 + 96. Factor h(j).
-4*j*(j - 1)*(71*j + 1)
Let m(f) be the third derivative of -41*f**2 - 8/105*f**7 - 1/30*f**6 + 0 - f + 3/20*f**5 + 1/24*f**3 - 11/96*f**4. Suppose m(z) = 0. Calculate z.
-1, 1/4
Let i(p) be the first derivative of -p**9/3024 - p**8/336 - p**7/105 - p**6/90 - 8*p**3/3 + p**2 - 19. Let x(d) be the third derivative of i(d). Factor x(v).
-v**2*(v + 1)*(v + 2)**2
Let g(l) = 109*l**2 - 54*l + 5. Suppose 21*t + 65 = 8*t. Let u(k) = -110*k**2 + 55*k - 5. Let h(f)