7 + 4/7*g**a.
2*(g + 3)*(2*g - 1)/7
Let a(m) be the second derivative of 238*m + 11/3*m**4 + 1/5*m**5 - 54*m**2 + 0 + 10*m**3. Factor a(t).
4*(t - 1)*(t + 3)*(t + 9)
Let t = -280432 + 280434. Factor 95/3*z + 31/3*z**t + 2.
(z + 3)*(31*z + 2)/3
Let o = 22261 + -22247. Let y(k) be the third derivative of 1/180*k**6 + 0 + 2*k + 0*k**3 + o*k**2 + 1/30*k**5 + 0*k**4. Factor y(g).
2*g**2*(g + 3)/3
Let t be (8/(-9) - (-2)/9)*-6. Let f be 1086/39 + -1 - t/(-26). What is a in 12*a**3 + 80*a**2 - 12*a**3 + 72 - f*a - 12*a**3 - 129*a = 0?
2/3, 3
Let j be 6/(-15) + 6/15 - 97. Let s = j + 121. Let s*u - 2*u**2 - 2*u**2 + u**2 = 0. What is u?
0, 8
Let n(g) = 8*g**2 - 2851*g - 6240. Let c(y) = -y**2 + 355*y + 780. Let o(d) = -46*c(d) - 6*n(d). Factor o(j).
-2*(j - 390)*(j + 2)
Determine n, given that -20/7 - 8/7*n**4 + 1/7*n**5 + 10/7*n**3 + 4*n**2 - 11/7*n = 0.
-1, 1, 4, 5
Determine q so that -1686 - 4*q**2 + 25*q - q**3 + 2*q**3 + 135*q + 38*q**2 - 714 = 0.
-20, 6
Suppose 4*d - c + 22 = -865, 5*d + 3*c = -1113. Let z = -217 - d. Factor 4/5*o**2 + 0 + 0*o**3 + 2/5*o - 2/5*o**z - 4/5*o**4.
-2*o*(o - 1)*(o + 1)**3/5
Solve -128/11*x + 0 - 2/11*x**3 + 32/11*x**2 = 0.
0, 8
Let h(w) be the second derivative of -w**4/18 + 88*w**3/9 + 89*w**2/3 - 832*w. Factor h(o).
-2*(o - 89)*(o + 1)/3
Let r(g) be the third derivative of g**7/420 - 3*g**6/20 - 781*g**5/60 + 2829*g**4/4 + 889249*g**3/12 + 7313*g**2. Let r(k) = 0. What is k?
-23, 41
Let x be (-44 - 2) + 8968/133. Determine a, given that 130/7*a + 2/21*a**3 + x - 58/21*a**2 = 0.
-1, 15
Factor 12*x**2 - 31/5*x**3 - 2/5 - 27/5*x.
-(x - 1)**2*(31*x + 2)/5
Suppose 894*z = 898*z - 1116. What is t in -1195 + 5164 + 5*t**2 + z*t + 308*t - 57*t + 10076 = 0?
-53
Let x(j) be the second derivative of -j**5/5 + 692*j**4/3 + 2774*j**3/3 + 1388*j**2 + 5235*j. Factor x(t).
-4*(t - 694)*(t + 1)**2
Let o = -8850 - -8875. Let q(a) be the first derivative of -1/8*a**2 + 0*a - o + 1/12*a**3. Factor q(s).
s*(s - 1)/4
Let v(l) = 15317*l + 413564. Let x be v(-27). Suppose -729/5 - 2997/5*p + 123/5*p**4 - 66/5*p**3 - 9/5*p**x - 2466/5*p**2 = 0. What is p?
-3, -1, -1/3, 9
Let u = -36805 + 3496477/95. Let m(n) be the first derivative of -2/19*n**4 - 10/57*n**3 + 0*n - 2/19*n**2 - u*n**5 + 12. Solve m(t) = 0 for t.
-2, -1, 0
Let u(o) be the first derivative of 24*o + 10*o**2 - o**4 - 8/3*o**3 + 249. Determine m so that u(m) = 0.
-3, -1, 2
Let l be ((-6)/12)/((-1)/(-56))*-3. Factor s**3 - 5 - 10 + 99*s**2 - s - l*s**2.
(s - 1)*(s + 1)*(s + 15)
Suppose 445*r = -618 + 1953. Factor -20/9*y**r + 0 + 32/9*y**2 + 16/9*y.
-4*y*(y - 2)*(5*y + 2)/9
Let -429*n**3 - 3/4*n**5 - 69/2*n**4 + 0*n - 726*n**2 + 0 = 0. What is n?
-22, -2, 0
Suppose -36 = 44256*w - 44265*w. Let r(m) be the first derivative of -40 + 1/14*m**w - 1/7*m**2 + 2/21*m**3 - 2/7*m. Factor r(g).
2*(g - 1)*(g + 1)**2/7
Solve 1/12*i**5 + 0 + 25/3*i**2 + 375/4*i - 1/3*i**4 - 35/6*i**3 = 0 for i.
-5, 0, 5, 9
Let l be (2 - -1)/(3 + 4020/(-1336)). Let j = l - -1012/3. Determine v so that j*v - 5 + 5/3*v**2 = 0.
-3, 1
Suppose 4*t = t. Factor t*c - 3*c - 14 - 2*c**2 - 13*c.
-2*(c + 1)*(c + 7)
Let w(l) be the first derivative of 6*l**5/5 - 51*l**4/4 + 6*l**3 + 51*l**2/2 - 24*l - 3810. Suppose w(c) = 0. What is c?
-1, 1/2, 1, 8
Let j = 106 - 162. Let i = -54 - j. Let c**3 + 4 - 2*c - 5*c - 2 + 2*c**i + 2 = 0. Calculate c.
-4, 1
Let t(w) = -w**4 + 8*w**3 + 4*w**2 - 5*w. Suppose -14*j + 6 = 48. Let s(m) = 3*m**4 - 16*m**3 - 8*m**2 + 11*m. Let y(h) = j*s(h) - 5*t(h). Factor y(v).
-4*v*(v - 2)*(v - 1)*(v + 1)
Let j be (-8687)/(-1326) + 2 - (306/(-351))/(-17). Factor -5*x**2 - 4 + 1/2*x**3 + j*x.
(x - 8)*(x - 1)**2/2
Let o(x) be the second derivative of x**5/150 - 3*x**4/20 - 22*x**3/15 + 42*x**2 + 3*x + 38. Let y(a) be the first derivative of o(a). Factor y(j).
2*(j - 11)*(j + 2)/5
Let q = 1149327/5 + -229861. Determine s, given that 208/5*s**2 + 96/5 - 2/5*s**5 + q*s**4 - 96/5*s**3 - 224/5*s = 0.
2, 3
Let v(h) be the third derivative of -h**6/180 + 26*h**5/15 - 169*h**4 + 11*h**2 - 107*h. Factor v(n).
-2*n*(n - 78)**2/3
Let k(b) be the third derivative of -7*b**5/150 + 179*b**4/60 + 26*b**3/5 - 450*b**2. Find a such that k(a) = 0.
-3/7, 26
Find u, given that 42 + 841/4*u + 5/4*u**2 = 0.
-168, -1/5
Let t(y) be the second derivative of 22*y + 0*y**2 + 0 + 1/54*y**4 - 20/27*y**3. Suppose t(h) = 0. Calculate h.
0, 20
Let p = 147 + -7. Suppose p = -5*h + 12*h. Factor -7*c**2 + 15*c + 18 - c**2 + h*c**2 - 9*c**2.
3*(c + 2)*(c + 3)
Let s(p) be the second derivative of 31*p**5/4 - 825*p**4/2 + 6560*p**3 + 1280*p**2 + 2871*p. Find o such that s(o) = 0.
-2/31, 16
Let o(r) be the third derivative of r**6/300 - 241*r**5/150 + 14399*r**4/60 + 14641*r**3/15 + 6*r**2 + r - 43. Suppose o(l) = 0. Calculate l.
-1, 121
Let i be (-20)/(-3 + 7) + 88. Let u = -177 + 251. Solve i*y**3 - u*y**3 - y**2 - 6*y - 3*y**5 - 2*y**2 + 3*y**4 = 0.
-1, 0, 1, 2
Suppose 647 = -2*s + 657. Solve -9*h**3 + 12*h + 36 - 4*h**s - 2*h**5 + 21*h**4 + 2*h**5 + 0*h**5 - 57*h**2 + h**5 = 0.
-1, 1, 2, 6
Let x = 202 - 197. Factor -3*q**2 + 20*q + 2*q**2 - x*q - 39 + 27*q - 2*q**2.
-3*(q - 13)*(q - 1)
Let b(h) = 27*h**2 - 5*h + 42. Let v(m) = -48*m**2 + 6*m - 84. Let n(x) = -9*b(x) - 5*v(x). Find a, given that n(a) = 0.
-2, 7
Let v(k) be the second derivative of -k**5/80 - 11*k**4/24 - 47*k**3/24 + 95*k**2/4 + 138*k - 24. Factor v(t).
-(t - 2)*(t + 5)*(t + 19)/4
Factor 3*x**3 + 126*x**2 + 119 - 111*x**2 + 9*x - 146.
3*(x - 1)*(x + 3)**2
Let d be (154/(-44))/(7/(-4)). What is o in d*o**4 + 2*o**5 + 3*o**5 + 58*o**4 = 0?
-12, 0
Let j(n) be the first derivative of -n**6/30 + n**5/10 - n**4/12 + 44*n**2 + 5. Let s(u) be the second derivative of j(u). Factor s(f).
-2*f*(f - 1)*(2*f - 1)
Let v = 939469 + -939469. Factor 2/7*l**4 + 0 + v*l + 52/7*l**3 - 54/7*l**2.
2*l**2*(l - 1)*(l + 27)/7
Let k(o) be the first derivative of -4*o**4 + 22/3*o**6 - 14*o**2 + 8*o + 53 - 88/3*o**3 + 16*o**5. Find u such that k(u) = 0.
-1, 2/11, 1
Let l = -141 + 145. Suppose -14*m + 11*m + 10 = 5*q, 3*m - 4 = -2*q. Factor 0*n**2 + 1/11*n**3 - 1/11*n**l + m*n + 0.
-n**3*(n - 1)/11
Let x = 490 - -107. Let b = 602 - x. Solve 0*r - 1/3*r**b - r**4 + 0 - 1/3*r**2 - r**3 = 0.
-1, 0
Solve 6*k - 14/5*k**2 + 2/5*k**3 - 18/5 = 0.
1, 3
Let w = 19960 + -42601/2. Let q = w + 1342. Factor 9/2*u + q*u**2 + 5/2 - 1/2*u**3.
-(u - 5)*(u + 1)**2/2
Let k(o) = 4 + 0*o**2 - 1 - 4 + 2*o - o**2 - 3*o. Let w(j) = 2*j**2 - 68*j + 57. Let r(a) = -3*k(a) + w(a). Factor r(y).
5*(y - 12)*(y - 1)
Let l(o) be the second derivative of 1/60*o**4 - 140*o - 7/5*o**2 + 13/30*o**3 - 2. Suppose l(y) = 0. What is y?
-14, 1
Let o(s) be the first derivative of -3*s**5/5 - 135*s**4/4 - 624*s**3 - 2688*s**2 + 36864*s - 1273. Determine k so that o(k) = 0.
-16, 3
Let h(r) be the third derivative of -r**5/480 + 17*r**4/4 - 3468*r**3 + 4015*r**2. Factor h(v).
-(v - 408)**2/8
Let 47 + 9*a**2 - 4*a**3 + 45*a**2 + 430*a - 39 - 236 = 0. Calculate a.
-6, 1/2, 19
Let v = 915 - 915. Let b(a) be the second derivative of v*a**2 + 1/30*a**3 + 7*a - 1/60*a**4 + 0. Factor b(g).
-g*(g - 1)/5
Let v(k) = -27*k - 50. Let n be v(-2). Let m be 34/(-357) + n/42. Suppose m - 3*o**2 - 3/2*o**3 - 3/2*o = 0. Calculate o.
-1, 0
Let z(r) be the second derivative of -r**4/84 - 26*r**3/7 - 861*r - 1. Factor z(k).
-k*(k + 156)/7
Let w = 203393 + -203389. Suppose 2/7*f**5 + 78/7*f**2 + 36/7*f + 58/7*f**3 + 18/7*f**w + 0 = 0. What is f?
-3, -2, -1, 0
Solve 3/7*t**5 + 0 + 456/7*t**3 + 75/7*t**4 + 0*t + 816/7*t**2 = 0.
-17, -4, 0
Let n(b) = b**2 - 1699*b + 6782. Let f be n(4). Factor 4/5 + 2/5*v - 2/5*v**f.
-2*(v - 2)*(v + 1)/5
Let g(q) be the first derivative of -q**3/27 - 77*q**2/6 - 458*q/9 + 951. Solve g(s) = 0 for s.
-229, -2
Let f(q) be the first derivative of 4*q**3/39 - 1675*q**2/13 + 1674*q/13 + 5846. Factor f(z).
2*(z - 837)*(2*z - 1)/13
Let w = 669 + -514. Determine f, given that w*f**2 - 159*f**2 + 80*f - 21 - 379 = 0.
10
Suppose -3*z - 4 = -10. Suppose -40 + 44 = z*h. Determine g so that 7*g + 2 - 2*g**4 - 19*g + 14*g**h - 2 = 0.
-3, 0, 1, 2
Let h be (40 - 3) + (-7869)/215 - (-1 + 1). Factor 6/5*b**4 + h + 5*b**3 + 17/5*b + 34/5*b**2.
(b + 1)**2*(b + 2)*(6*b + 1)/5
Factor 1752 - 13803*f - 807*f**2 + 3543*f + 168*f**3 + 6348 + 2796*f**2 + 3