t m(c) be the first derivative of 12*c - 6 + 3/4*c**4 - c**g - 6*c**2. Factor m(w).
3*(w - 2)*(w - 1)*(w + 2)
Determine w so that 50/3*w**3 - 425/3*w + 265/6*w**2 + 5/6*w**4 + 80 = 0.
-16, -6, 1
Let x(n) be the second derivative of -3/20*n**5 + 1/10*n**6 - 1/2*n**3 + 0 + 26*n + 1/21*n**7 + 0*n**2 - 7/12*n**4. Factor x(p).
p*(p + 1)**3*(2*p - 3)
Let a = -1830868 + 241673209/132. Let u = a - -145/12. Factor -14/11 + u*i + 3/11*i**2.
(i + 7)*(3*i - 2)/11
Let f(y) be the third derivative of -y**6/60 + 29*y**5/6 - 195*y**2 - 1. Suppose f(n) = 0. Calculate n.
0, 145
Let j(z) be the third derivative of z**6/42 + 202*z**5/5 + 150096*z**4/7 + 719104*z**3/21 - 4577*z**2. Let j(a) = 0. What is a?
-424, -2/5
Suppose 20*s - 19*s - 1 = 0. Let i be ((-30)/(-24))/5 + (s - 0). Factor -15/4*g**3 - i*g**4 + 0*g + 0 + 0*g**2.
-5*g**3*(g + 3)/4
Let 64*u**2 - 50*u**3 - 10*u**3 + 5043*u**4 - 5047*u**4 = 0. Calculate u.
-16, 0, 1
Let f(k) be the second derivative of 2*k**7/63 + 47*k**6/45 - 4*k**5/5 + 617*k. What is a in f(a) = 0?
-24, 0, 1/2
Suppose u + 9 = 2*g, 0 = -5*g + 8*u - 7*u + 24. Determine j so that 25*j**2 + 9*j**4 - 3*j - 44*j**4 + 68*j + 10 + 12*j**3 + 110*j**g - 187*j**3 = 0.
-1, -1/2, -2/11, 1
Let t(h) be the second derivative of -h**5/80 - h**4/4 + 85*h**3/24 + 42*h**2 - 3929*h. Suppose t(u) = 0. Calculate u.
-16, -3, 7
Suppose 4*c - 12 = c. Let a(z) = -324*z + 61565. Let y be a(190). Suppose 9/4*i**y - 6*i**c + 11/2*i**2 + 1/2 + i**3 - 13/4*i = 0. Calculate i.
-1, 1/3, 1, 2
Let x(g) = 5*g**3 - 3510*g**2 + 622875*g + 1260280. Let b(l) = l**2 - 5*l + 1. Let k(r) = -30*b(r) + x(r). Find q, given that k(q) = 0.
-2, 355
Let f(v) = 5*v + 115. Suppose 2*t - 61 = 3*o, -t = -5*o - 0*t - 111. Let x be f(o). Let 6/7*h**2 - 6/7 + x*h = 0. Calculate h.
-1, 1
Let f(c) be the second derivative of -c**5/100 + 17*c**4/15 + 211*c**3/30 + 71*c**2/5 + 270*c + 1. Find o such that f(o) = 0.
-2, -1, 71
Suppose -144 - 861/2*q - 279/2*q**3 - 855/2*q**2 + 3/2*q**4 = 0. Calculate q.
-1, 96
Let t be 6/2 - 9 - -10. Suppose -t*f = -6*f + 4, -4*f = 3*q - 17. Find j such that 2*j**3 + 1/3*j**4 + 8/3*j**2 - q - 2*j = 0.
-3, -1, 1
Suppose -60 + 109 = 2*b + 43. Let k(d) be the second derivative of -5/24*d**b + 1/80*d**5 + 1/16*d**4 + 8*d - 1/120*d**6 + 1/4*d**2 + 0. Factor k(l).
-(l - 1)**3*(l + 2)/4
Let 963272/5 - 966048/5*r - 2/5*r**3 + 2778/5*r**2 = 0. Calculate r.
1, 694
Suppose r - 10 = 4*q + 7, 10 = 5*r + 5*q. Let z be (-1*14)/(-4 - -2). Factor -3*d**2 + z*d**2 - 3 - r*d**2 + 4*d.
-(d - 3)*(d - 1)
Determine a, given that -40/3*a - 100*a**2 - 4/9 = 0.
-1/15
Suppose -h = -5*r + 3, -5*h + 14 = -4*r + 8*r. Find k such that 0 - 4*k + 6 - 1 - 3 + 2*k**h = 0.
1
Let d(f) be the third derivative of 0 - 4/69*f**3 + 0*f - 361/690*f**5 - 134*f**2 + 19/69*f**4. Determine k, given that d(k) = 0.
2/19
Let b(j) be the second derivative of -j**5/60 + 13*j**4/6 - 185*j**3/2 + 2738*j**2/3 + 2*j - 8. Suppose b(f) = 0. Calculate f.
4, 37
Let h be -2 + 5/1 + (-1765 - -1764). Solve -2/21*v**4 + 0 + 8/21*v**h + 8/21*v - 2/21*v**3 = 0.
-2, -1, 0, 2
Let b(i) be the second derivative of 1/12*i**3 - 1/12*i**4 + 65 - 2*i - 1/40*i**5 + 3/8*i**2 + 1/120*i**6. Determine o, given that b(o) = 0.
-1, 1, 3
Suppose 21 = s + 4*s - 2*u, s + 2*u + 3 = 0. Suppose z - s*j = 14, j + 20 = 4*z - 2*j. What is v in -z*v**2 + 6*v - 4/3 - 8/3*v**3 = 0?
-2, 1/4, 1
Let l(v) be the first derivative of v**4/8 - 139*v**3/12 + 629*v**2/2 - 867*v - 267. Factor l(i).
(i - 34)**2*(2*i - 3)/4
Suppose -7*i + 8160 = 9*i. Suppose 8*z = -26*z + i. Factor z*b**2 + 15/4 - 25/2*b + 5/4*b**4 - 15/2*b**3.
5*(b - 3)*(b - 1)**3/4
Let p(b) = 2*b**2 + 218*b - 976. Let j(y) = 15*y**2 + 1739*y - 7808. Let f(s) = 2*j(s) - 17*p(s). Find g, given that f(g) = 0.
-61, 4
Let b = 10019 - 10014. Let n(k) be the third derivative of -1/18*k**4 - 1/45*k**b + 0 - 22*k**2 + 4/9*k**3 + 0*k. Factor n(g).
-4*(g - 1)*(g + 2)/3
Let n = 13171 + -13165. Let l(o) be the second derivative of 1/30*o**n + 0 - 3/10*o**5 + 0*o**2 + 21*o + 0*o**3 - 7/12*o**4. Find r such that l(r) = 0.
-1, 0, 7
Let u(c) be the third derivative of -c**7/840 - c**6/80 - c**5/48 + c**4/4 + 3*c**3/2 + 47*c**2 + c - 24. Factor u(t).
-(t - 2)*(t + 2)*(t + 3)**2/4
Let r(c) be the third derivative of -2*c**5/5 - 57*c**4/8 - 7*c**3/2 + 9*c**2 - 83*c. Determine s, given that r(s) = 0.
-7, -1/8
Let j(k) be the third derivative of 25*k**8/84 + 158*k**7/21 + 192*k**6/5 - 8888*k**5/75 + 1912*k**4/15 - 352*k**3/5 + k**2 - 732. Find l, given that j(l) = 0.
-11, -6, 2/5
Let a(u) be the second derivative of 1/6*u**6 + 0*u**5 - 5/3*u**3 - 7*u + 0*u**2 - 5/4*u**4 + 0. Factor a(p).
5*p*(p - 2)*(p + 1)**2
Let v be (178/(-8366) + (-202)/(-658))*-14*2/(-16). Solve v*k**2 - 32*k - 65/2 = 0.
-1, 65
Let d = -8 - 52. Let i = d + 59. Let r(w) = -w**2 + 16*w + 51. Let l(p) = p**2 - p - 1. Let u(k) = i*r(k) - 2*l(k). What is o in u(o) = 0?
-7
Suppose 5*a - 25 = r, -2*a - 4*r + 2*r + 10 = 0. Solve 12*f**5 - 40 - 65*f**3 + 90*f**2 - 5*f + 17*f**a - 20*f**4 + 25*f - 14*f**5 = 0.
-2, -2/3, 1, 2
Factor 37*w**2 - 95 - 36*w**2 + 359*w - 265.
(w - 1)*(w + 360)
Let n(d) = 2*d + 55. Let a be n(-3). Suppose 21*x - a - 14 = 0. Factor -6/7*t**4 - 30/7*t + 0 - 18/7*t**x + 54/7*t**2.
-6*t*(t - 1)**2*(t + 5)/7
Suppose 2*k = g + 4*k - 10, 4*g + 4 = 3*k. Determine o, given that 1/4*o**3 + 0 - 1/8*o**g + 1/8*o**4 - 1/4*o = 0.
-2, -1, 0, 1
Suppose -q - 3*y - 52 = 16, 3*y + 180 = -3*q. Let x be ((-3)/4)/(357/q). Factor 8/17*m**3 - 10/17*m**2 + x*m + 0.
2*m*(m - 1)*(4*m - 1)/17
Factor -53/4*j**2 + 49/2*j + 1/2*j**3 + 0.
j*(j - 2)*(2*j - 49)/4
Let o be 18*988/342 - 50. What is j in 27*j**o + 3/7*j**4 - 48/7*j**3 - 192/7 + 48/7*j = 0?
-1, 1, 8
Let p be ((-14)/7 - 2 - -2) + -5. Let w(m) = m**2 - 11*m - 124. Let f be w(p). Factor -3/2*j**3 - 3 - 15/2*j - 6*j**f.
-3*(j + 1)**2*(j + 2)/2
Suppose 3*h**2 + 23750 + 770*h**3 - 3150*h + 135*h**2 - 1547*h**3 + 775*h**3 = 0. What is h?
19, 25
Determine b so that -65*b**4 - 15*b**3 + 17*b**2 - 15*b**5 + 26*b**3 + 4*b**3 + 48*b**2 = 0.
-13/3, -1, 0, 1
Let x(c) be the first derivative of -c**3 - 147*c**2/2 - 282*c + 1891. Factor x(q).
-3*(q + 2)*(q + 47)
Let b(s) be the third derivative of 4 + 4*s**3 + 0*s + 11/6*s**4 - 1/30*s**6 + 4/15*s**5 + s**2. Factor b(d).
-4*(d - 6)*(d + 1)**2
Let c be 1206/12*(-4 + 147/36). Let h = -311/40 + c. Suppose -3/5*j**2 + 0 - h*j**3 + 3/5*j**4 + 3/5*j = 0. What is j?
-1, 0, 1
Let f = -500618 - -9511782/19. Solve -f*w**4 + 0*w - 26/19*w**3 + 0 - 4/19*w**2 - 18/19*w**5 = 0.
-1, -2/9, 0
Let v(m) = -m**3 + 6*m**2 + 18*m + 5. Let n be v(8). Let w be n/((-378)/(-72)) + 0 + -4. Factor w*b - 1/4 + 1/4*b**2.
(b - 1)*(b + 1)/4
Determine x, given that 30*x**2 - 22*x**2 + 17168045 - 3*x**2 + 18530*x = 0.
-1853
Let a be 140*(35/(-7) + 6). Suppose 2*p**3 - 48*p - 4*p**2 - 20 + 5*p**2 - a + 5*p**2 = 0. What is p?
-4, 5
Suppose 45796/5 + 2/5*k**3 + 432/5*k**2 + 23754/5*k = 0. Calculate k.
-107, -2
Let y(c) be the first derivative of -c**3/2 - 13*c**2/4 + 8*c - 4599. Let y(h) = 0. Calculate h.
-16/3, 1
Let j = 21741 + -21739. Suppose 1/2*m**j + 4 + 3*m = 0. Calculate m.
-4, -2
Let p = 41/126 + -23/210. Let v = p + -1/63. Factor -1/5 + 0*u**3 + 2/5*u**2 - v*u**4 + 0*u.
-(u - 1)**2*(u + 1)**2/5
Factor 194*s - 384*s**3 + 4*s**4 + 0*s**4 - 392*s**2 + 476 - 29 + 190*s - 59.
4*(s - 97)*(s - 1)*(s + 1)**2
Let g(p) be the second derivative of -p**4/36 - 427*p**3/9 - 182329*p**2/6 + 625*p. Solve g(l) = 0 for l.
-427
Factor -160/3 - 116/15*m - 2/15*m**2.
-2*(m + 8)*(m + 50)/15
Let v(o) = 13*o - 14. Let s be v(-2). Let z be ((-9)/((-378)/s))/(6/(-21)). Solve 4/3*q - 2/15*q**2 - z = 0 for q.
5
Suppose 4*n - 8 = 4*v, -2*v = 2*n - v - 4. Let p be ((13 - 17)/4)/((-1)/n). Let -p - 1/2*j**2 - 2*j = 0. What is j?
-2
Factor -2033*u + 3761*u - 4*u**2 - 448 - 1960*u.
-4*(u + 2)*(u + 56)
Suppose 4*y - 6 = y, y - 2 = 2*i. Factor -11*s**3 + i*s**3 - 10*s**4 - 4*s**3 + 5*s**5.
5*s**3*(s - 3)*(s + 1)
Suppose 5*f + 9 - 29 = 0, 0 = -4*h + 8*f - 12. Let i(y) be the second derivative of 0 + 2/3*y**3 + 1/5*y**h - 14*y + 2/3*y**4 + 0*y**2. What is r in i(r) = 0?
-1, 0
Suppose f = -5*r + 2*f + 64, 80 = 5*r - 5*f. Suppose -s - 18 = -4*x, 3*x - 4*s = 2*x + r. What is n in 9*n**3 + 8*n - 12*n + 27*n**2 + 13*n + 6*n - 3*n**x =