i**3/12 + 86*i**2 + 7*i - 237. Find l, given that g(l) = 0.
-344, -2
Suppose -40/9*j**2 + 0*j + 16/9*j**5 + 80/9*j**3 + 4/9 - 20/3*j**4 = 0. Calculate j.
-1/4, 1
Let s(l) = -1 - l**2 - 373*l**3 + 369*l**3 - 3*l + l. Let q be s(-1). Factor 4*u**4 + 5*u**5 + 5*u**q + 18*u**3 + 2*u**3 + 11*u**4.
5*u**3*(u + 2)**2
Let c = -188016 + 188019. Determine v, given that 13/3*v - 5/3*v**c + 1/3*v**4 + 10/3 - v**2 = 0.
-1, 2, 5
Let f be 88/48*-3 + 8. Suppose -14 = -16*a + 18. Factor 0 - 50*y**a - 35/2*y**4 - 20*y - f*y**5 - 45*y**3.
-5*y*(y + 1)*(y + 2)**3/2
Let x(i) be the first derivative of 5*i**4/4 - 15*i**3 + 20*i**2 - 2452. Solve x(h) = 0.
0, 1, 8
Let g(n) be the first derivative of -n**5/25 - 8*n**4/15 - 32*n**3/15 - 28*n - 17. Let q(a) be the first derivative of g(a). What is y in q(y) = 0?
-4, 0
Suppose 23*d - 266 - 1551 = 0. Suppose 17*q - 130 = -d. Factor -2/13 - 10/13*m**2 - 4/13*m**q - 8/13*m.
-2*(m + 1)**2*(2*m + 1)/13
Let a(i) = -i**3 + 8*i**2 - 13*i + 12. Let r be a(6). Determine y, given that -29*y + 264*y - 80 + r*y**2 + 9*y**2 = 0.
-16, 1/3
Let f be ((12/21)/1)/(6/84). Suppose 15*g = -f*g + 46. Let 10/7*k**4 - 10/7*k**g - 6/7*k**5 + 2/7*k**3 + 0 + 4/7*k = 0. Calculate k.
-1, 0, 2/3, 1
Let h be 7 + (-42 - -43)/(2/(-8)). Determine z, given that -6*z**5 + 10*z**2 - z**2 - 3*z**2 + h*z**5 - 3*z**4 - 3*z**4 + 3*z**3 = 0.
-2, -1, 0, 1
Let p be (-17924)/(-7) + 180/(-315). Let w(o) be the first derivative of -10 + p*o - 5/4*o**4 + 40*o**3 - 480*o**2. Factor w(j).
-5*(j - 8)**3
Let t be (-3)/((-6)/(-5)*(-1)/2). Factor -2023*p + 0*p**3 + 1663*p - 380 - 75*p**2 + t*p**3.
5*(p - 19)*(p + 2)**2
Suppose -14*x + 1266 = -274. Let t = x + -108. Suppose -u**2 - 4*u**t - 7*u**2 + 19*u - 27*u - 4*u**3 = 0. Calculate u.
-2, -1, 0
Let u(o) be the second derivative of 0 - 3/7*o**2 - 1/147*o**7 + 1/21*o**4 - 5/21*o**3 + 125*o + 1/105*o**6 + 3/35*o**5. Find c such that u(c) = 0.
-1, 1, 3
Let d(x) = -12*x - 346. Let w be d(-29). Factor -15*t**w - 22*t**2 - 42*t - 13*t**2 + 11 - 3.
-2*(t + 1)*(25*t - 4)
Suppose -75*u + 124*u - 272 + 71*u - 4*u**2 + 156*u = 0. What is u?
1, 68
Determine w so that 75/2*w**2 + 63/4 + 543/4*w = 0.
-7/2, -3/25
Suppose 0 = 2*o + 2*u - 42, 3*o + u - 98 + 29 = 0. Let v be ((-414)/115)/(o/(-15)). Factor 3/4*n**2 - v*n + 3/2.
3*(n - 2)*(n - 1)/4
Let s = 44 - 33. Let n be (3 - (s + 2))*-1. Solve x**3 - 4*x**2 + n*x - x + 0*x**2 - 2 - 4*x = 0 for x.
1, 2
Let x(y) be the first derivative of y**3/24 - 121*y/8 + 429. Find b such that x(b) = 0.
-11, 11
Suppose 16 = -5*j - 3*b + 31, 2*j + 5*b = 6. Let a(i) be the third derivative of -19*i**2 - 1/180*i**5 - 5/72*i**4 + 0 + 0*i - 1/3*i**j. Factor a(l).
-(l + 2)*(l + 3)/3
Suppose 0 = -3*u + 2*a + 3*a + 151, -3*u = 3*a - 183. Let 2 + 8*n + 10*n**2 - 55*n**3 - 2 + u*n**3 = 0. What is n?
-4, -1, 0
Let s(m) be the first derivative of -203 - 224*m**2 - 15*m**4 + 4*m**2 + 85*m**3 - 141156*m**5 + 240*m + 141157*m**5. Factor s(p).
5*(p - 4)**2*(p - 3)*(p - 1)
Let f(j) = j**3 + 7*j**2 - 19*j - 9. Let z be f(-9). Suppose z = 2*o - 8 + 2. Find q such that -2 + o*q + 4*q - 2 + q**2 - 11*q + q**3 = 0.
-2, -1, 2
Let s = 35 + -74. Let k = 41 + s. Solve -4*b**3 + 50*b - 4*b**k - 21*b - 21*b = 0.
-2, 0, 1
Let n be (10/(-4) - (-4)/2 - (-217)/558)*-60. Find h, given that 1/3*h**2 + 0 - n*h = 0.
0, 20
Let j = -30395 - -30400. Factor -38900/3*d**2 + 4052/3*d**3 - 154/3*d**4 - 31250/3 + 66250/3*d + 2/3*d**j.
2*(d - 25)**3*(d - 1)**2/3
Determine b so that -1/5*b**5 + 2*b - 17/5*b**2 + 0 + 3/5*b**3 + b**4 = 0.
-2, 0, 1, 5
Let v be (5 - 5)/(40 + -14 + -24). Factor 3/2*k**2 - 1/2*k**5 + 1/2*k**4 + v*k + 5/2*k**3 + 0.
-k**2*(k - 3)*(k + 1)**2/2
Let f be 6 + 7216/(-1188) + 28218/405. Solve 16/5 + f*d**2 + 56/5*d**4 + 136/5*d + 254/5*d**3 = 0.
-2, -2/7, -1/4
Let b(u) = 14*u**3 - 501*u**2 - 2800*u + 44. Let g(c) = 3*c**3 - 102*c**2 - 560*c + 8. Let m(f) = -2*b(f) + 11*g(f). Factor m(n).
5*n*(n - 28)*(n + 4)
Find z such that -2/9*z**2 + 146/9*z + 148/9 = 0.
-1, 74
Let t be (-68)/(2*(-3)/24). Suppose -15 = -262*z + 257*z. What is v in 10*v**5 + 292 - 95*v**z - t + 58*v**2 + 97*v**2 - 95*v + 5*v**4 = 0?
-4, 1/2, 1
Let x be 0*1/(-4) + (3421 - -5). Factor 3234*j + 48*j**2 + 324 - x*j - 4*j**3 - 68.
-4*(j - 4)**3
Find a, given that -a - 1/4*a**5 + 5/4*a**3 - 1/2*a**4 - 2 + 5/2*a**2 = 0.
-2, -1, 1, 2
Let b(n) be the third derivative of 1/33*n**3 + 0*n + 0*n**4 + 0 - 1/330*n**5 + 144*n**2. Let b(d) = 0. Calculate d.
-1, 1
Let f(l) be the third derivative of 0*l + 0 - 8*l**3 - 47*l**2 + l**4 - 1/20*l**5. Determine k, given that f(k) = 0.
4
Let y(s) = 17*s**2 + 2249*s + 156827. Let n(j) = -4*j**2 - 562*j - 39206. Let f(o) = -18*n(o) - 4*y(o). Factor f(d).
4*(d + 140)**2
Factor 155*l**2 + 58*l + 68*l + 20*l + 134*l + 20*l**3 - 80.
5*(l + 4)**2*(4*l - 1)
Let j(c) = -44*c + 2 + 47*c - c**3 + 2*c**3 - 6*c**2. Let p(m) = -6*m**2 + 3*m + 3. Let z(a) = -3*j(a) + 2*p(a). Determine b so that z(b) = 0.
0, 1
Let 77/6*f**3 + 14 + 3/2*f**4 - 38/3*f - 1/6*f**5 - 31/2*f**2 = 0. Calculate f.
-6, -1, 1, 14
Let v(b) = -185*b**3 - 14005*b**2 - 55880*b - 55595. Let a(w) = 17*w**3 + 1273*w**2 + 5080*w + 5054. Let r(u) = -65*a(u) - 6*v(u). Factor r(i).
5*(i + 2)**2*(i + 253)
Let o(k) be the first derivative of -k**5/35 + 139*k**4/28 + k**3/21 - 139*k**2/14 - 3377. Find r, given that o(r) = 0.
-1, 0, 1, 139
Let r = 758 + -740. Suppose -8*c + 2*c = -r. Factor y**2 + 2/3*y**c - 8/3*y + 1.
(y - 1)*(y + 3)*(2*y - 1)/3
Let r = -12463 + 149557/12. Let m(q) be the third derivative of 0*q + 0 - 14*q**2 - 17/8*q**4 - 3*q**3 + 23/120*q**6 - 1/42*q**7 - r*q**5. Factor m(s).
-(s - 3)**2*(s + 1)*(5*s + 2)
Let s(p) be the first derivative of 40 + 75/2*p**2 + 35*p + 5/4*p**4 + 15*p**3. Determine g, given that s(g) = 0.
-7, -1
Suppose 160*r - 163*r = 3*h - 36, 0 = 3*h + r - 22. Factor -5*p**3 + h + 20*p - 5/4*p**2.
-5*(p - 2)*(p + 2)*(4*p + 1)/4
Let w(c) be the third derivative of -c**7/105 - 121*c**6/420 - 251*c**5/210 - 167*c**4/84 - 10*c**3/7 + c**2 - 1311. Suppose w(t) = 0. Calculate t.
-15, -1, -2/7
Let b(k) = 3*k**2 - 2*k - 10. Let o be b(5). Let g = o - 19. Find l, given that 276*l + 17*l**2 + 43*l**4 - 252*l**3 - 542*l**2 + 842*l**4 - g + 300*l**5 = 0.
-3, -1, 1/4, 2/5
Let w be (-21328)/(-576) + -25 - 12. Let m(q) be the third derivative of -w*q**4 + 1/18*q**3 + 1/180*q**5 + 5*q**2 + 0 + 0*q. Determine d so that m(d) = 0.
1
Suppose -3*j = -10*j + 84. Let z be 84/9 - 4/j. Factor -z*p - 3*p**2 - 7 + 3*p - 6*p - 5.
-3*(p + 2)**2
Let n(o) be the first derivative of -4*o**3/3 - 28*o**2 - 197. What is m in n(m) = 0?
-14, 0
Let a be (3*(-6)/18)/((-1)/3). Suppose -1028*t + 1028*t + 9*t**2 - 6*t**3 - a*t**4 = 0. What is t?
-3, 0, 1
Let j = -1058488/9 + 117610. Determine n so that 10/9*n**2 - 8/9 - 8/9*n + 10/9*n**3 - 2/9*n**4 - j*n**5 = 0.
-2, -1, 1, 2
Let v(d) be the third derivative of d**8/2100 - d**7/175 + 2*d**6/75 - 4*d**5/75 + 29*d**3/6 + 9*d**2. Let c(y) be the first derivative of v(y). Factor c(x).
4*x*(x - 2)**3/5
Let q be (56 + 3)*(2/(-1))/1. Let d = q + 124. Factor -a**3 + 0*a**2 - 15*a**2 + d*a + 13*a**3 - 3*a**4.
-3*a*(a - 2)*(a - 1)**2
Let b(n) = n**2 + 5*n - 103. Let u be b(-13). Suppose 6*g**4 + 0*g**2 + 2*g + 3 - 3 - 10*g**2 + 5 - 2*g**3 - u = 0. Calculate g.
-1, -2/3, 1
Let f = 317575 - 317572. Factor 4/3*x**2 + 0*x - 2/3*x**f + 0.
-2*x**2*(x - 2)/3
Let a = -1199062/7 + 171298. Factor 1/7*o**2 + 144/7 + a*o.
(o + 12)**2/7
Let d(p) be the first derivative of p**5/40 - 23*p**4/8 + 15*p**3/4 + 23*p**2/4 - 91*p/8 + 3543. Factor d(c).
(c - 91)*(c - 1)**2*(c + 1)/8
Let o be (-2925)/(-20) + 165/(-6) + 17. Let -49/4*r**5 + 48*r - o*r**3 - 315/4*r**4 - 9 - 49/4*r**2 = 0. What is r?
-3, -1, 2/7
Let r(w) be the first derivative of -w**5/210 + 2*w**4/7 + 25*w**3/21 + 109*w**2/2 - 38. Let c(j) be the second derivative of r(j). Let c(v) = 0. Calculate v.
-1, 25
Suppose -2*n = 5*n - 48223. Find c such that 0*c**3 - n*c + 576 + c**3 + 6409*c - 5*c**3 - 92*c**2 = 0.
-12, 1
Let o = 1083997/7 - 154855. Factor 8/7*y**2 - 1/7*y**3 - o*y + 0.
-y*(y - 6)*(y - 2)/7
Let y(d) be the second derivative of d**5/14 + 71*d**4/42 + 22*d**3/7 + 67*d - 13. Solve y(b) = 0 for b.
-66/5, -1, 0
Solve -66*s + 216 + 0 - 16*s**2 - 18*s**2 + 37*s**2 = 0.
4, 18
Let i = 336 + -1200. Let b be (-288)