the third derivative of -a**6/480 + 89*a**5/240 - 43*a**4/12 + 85*a**3/6 - 18*a**2 - 37*a. Factor n(i).
-(i - 85)*(i - 2)**2/4
Let n(h) = -1 - 2*h - 7*h**2 + 0*h - h - 3*h**3 + 4. Let p be n(-2). Determine y, given that 5*y**4 + 0*y**3 + 63*y**5 - 6*y**3 - 62*y**p = 0.
-6, 0, 1
Let l = 1117/2 - 2225/4. Suppose w = -2*v - 1, -v - 5*w - 18 = 5. Factor 1/4*k**3 + 0 - l*k**2 + v*k.
k*(k - 8)*(k - 1)/4
Let u be (-5 - -184*(-15)/(-600)) + 748/70. Factor -2/7*p**2 - 24/7*p - u.
-2*(p + 6)**2/7
Let -20*a - 2/7*a**2 - 768/7 = 0. What is a?
-64, -6
Suppose 3*a - 3*t - 5 = a, 5*a - 3*t = 8. Let y(u) = 14*u**3 - 30*u**2 + 16*u. Let d(z) = -z**4 + z. Let o(f) = a*y(f) + 2*d(f). Factor o(p).
-2*p*(p - 3)**2*(p - 1)
Factor 24*f**2 - 332929 + 21*f**2 + 30*f**2 + 530*f + 624*f - 76*f**2.
-(f - 577)**2
Let q = 23530173292/1183 + -19890255. Let n = q - -9/169. Find m, given that -22/7*m**4 - 8/7*m**5 + 4/7*m**2 + 0 - n*m**3 + 0*m = 0.
-2, -1, 0, 1/4
Determine o, given that -1407/5*o**2 - 69/5*o**4 + 489/5*o**3 - 624/5 + 1608/5*o + 3/5*o**5 = 0.
1, 4, 13
Suppose -2552562 - 617128 - 408*v**3 - 2249777*v - 419*v**3 - 5640*v**2 + 822*v**3 + 653672*v = 0. Calculate v.
-563, -2
Let x(l) be the first derivative of 1458/5*l + 13 + 2/15*l**3 - 54/5*l**2. Factor x(j).
2*(j - 27)**2/5
Let y(j) be the second derivative of -19 - 7/132*j**4 + 1/110*j**5 - 2*j - 2/33*j**3 + 0*j**2. Determine p so that y(p) = 0.
-1/2, 0, 4
Let k(c) be the second derivative of 17*c**5/90 + 35*c**4/27 + 8*c**3/27 - 558*c. Factor k(t).
2*t*(t + 4)*(17*t + 2)/9
Let d(z) be the second derivative of -8*z + 16/51*z**3 + 1/102*z**4 + 2 - z**2. Determine g so that d(g) = 0.
-17, 1
Determine d, given that 0 + 2/7*d**3 + 22/7*d**2 - 24/7*d = 0.
-12, 0, 1
Let u be 2924/(-132) + 21 + -3 + 13/3. Factor u*p**2 + 36/11 + 18/11*p.
2*(p + 3)*(p + 6)/11
Let j(c) be the second derivative of c**5/50 + 19*c**4/15 + 53*c**3/5 - 198*c**2/5 + 1393*c. What is n in j(n) = 0?
-33, -6, 1
Let t be (-2420)/3267*(-96)/5 - 14. Solve 34/9 - 4*s + t*s**2 = 0.
1, 17
Let d(t) be the second derivative of -5/48*t**4 + 1/24*t**6 - 3/80*t**5 - 7*t + 0*t**2 + 1 + 1/6*t**3 - 1/168*t**7. Find m, given that d(m) = 0.
-1, 0, 1, 4
Suppose 0*v - 3*v = f - 12, 3*f = v - 4. Suppose 0 = -5*b + 5*a + 30, 14 = 3*b + a - f. Factor 20*x**3 + 0*x**3 - 39*x + 39*x - b*x**5.
-5*x**3*(x - 2)*(x + 2)
Find a, given that 15*a**2 + 39/5*a - 36/5 = 0.
-1, 12/25
Let t be 22122/(-18435)*(0 + 250/(-6)). Let -74/3*j**2 + 38/3*j + t*j**4 - 110/3*j**3 - 4/3 = 0. Calculate j.
-2/3, 1/5, 1
Let d(q) be the first derivative of -50*q**2 + 5/4*q**4 + 28 + 5/6*q**6 - 70/3*q**3 - 40*q + 4*q**5. Find h such that d(h) = 0.
-2, -1, 2
Let p be -9 + (2 + 9)*(-27 - -28). Let u(v) be the second derivative of 0 + 3/20*v**5 + 21/2*v**p + 2*v - 7/4*v**4 - 1/2*v**3. Suppose u(a) = 0. Calculate a.
-1, 1, 7
Let y(g) be the second derivative of -10*g**7/21 - 19*g**6/6 + 9*g**5/4 + 95*g**4/12 - 25*g**3/6 - 83*g + 3. Find t such that y(t) = 0.
-5, -1, 0, 1/4, 1
Let p = -11/3195 + 5347/6390. Factor -35/6*f - 15 + p*f**2.
5*(f - 9)*(f + 2)/6
Factor 4374/7 + 4372/7*u - 2/7*u**2.
-2*(u - 2187)*(u + 1)/7
Let k(v) = -13*v - 100. Let z be k(-8). Factor 14*f - f**2 - 20*f**3 - 7*f**2 - 4*f**z + 10*f + 8*f.
-4*f*(f - 1)*(f + 2)*(f + 4)
Let i(l) = 103*l - 20. Let s be i(17). Suppose -2*m + s = 483. Find t, given that m*t**4 - 143*t**2 - 50*t**3 + 3 + 0 + 1 + 47*t**2 - 288*t**5 + 6*t = 0.
-1/4, 1/3, 2
Let u(o) be the second derivative of 9 + 1/10*o**5 + o**3 - 9*o**2 + 5/6*o**4 + 14*o. Let u(y) = 0. Calculate y.
-3, 1
Factor 56 - 2*v**3 + 62/3*v**2 - 184/3*v.
-2*(v - 6)*(v - 2)*(3*v - 7)/3
Let t(w) be the first derivative of -3*w**4/20 + 4*w**3/5 - 3*w**2/10 - 18*w/5 + 452. Factor t(g).
-3*(g - 3)*(g - 2)*(g + 1)/5
Let o(t) be the second derivative of t**6/240 - 13*t**5/32 + 375*t**4/32 + 3125*t**3/48 - 78125*t**2/8 + 2887*t. Factor o(m).
(m - 25)**3*(m + 10)/8
Let m(l) = 2*l**3 + 5*l**2 - 86*l - 303. Let s be m(-5). Suppose 14/5*a**3 + 4/15*a**5 - 32/15*a**s - 22/15*a**4 + 8/15*a + 0 = 0. Calculate a.
0, 1/2, 1, 2
Let i(y) = 2*y. Let j(n) = 42*n - 8 - 671*n**2 + 670*n**2 - 136. Let w(b) = -18*i(b) + 2*j(b). Factor w(d).
-2*(d - 12)**2
Let s = 190 - 140. Let j be (s/(-70))/(10/(-8)). Determine a so that 0*a + j*a**3 + 0 + 16/7*a**2 = 0.
-4, 0
Suppose 0*u + 3*u = 6. Let a = 148314 + -148312. Factor u*i**a + 1 + 1/2*i**3 + 5/2*i.
(i + 1)**2*(i + 2)/2
Let z(f) be the first derivative of 0*f**2 - 3/4*f**5 - 5/16*f**4 + 5/24*f**6 + 35/12*f**3 - 5*f - 53. Suppose z(p) = 0. Calculate p.
-1, 1, 2
Factor -40 - 718*g + 120*g**2 + 1229*g + 28*g**3 - 619*g.
4*(g - 1)*(g + 5)*(7*g + 2)
Let l(b) be the second derivative of 1681*b**7/189 + 2296*b**6/45 - 1021*b**5/90 - 3436*b**4/27 - 220*b**3/9 - 16*b**2/9 + 3028*b. Find v, given that l(v) = 0.
-4, -1, -2/41, 1
Factor 1062 - 3*v**3 - 312*v**2 + 440*v - 113*v**2 - 2*v**3 - 202.
-5*(v - 2)*(v + 1)*(v + 86)
Let n(q) = q**3 + 2*q**2 - q + 2. Let p(y) = 5*y**3 - 1525*y**2 - 159145*y - 5463615. Let d(o) = -10*n(o) + p(o). Solve d(v) = 0 for v.
-103
Factor -60*g**3 - 1178*g**5 + 9*g**4 + 52*g**2 + 1174*g**5 - 16*g + 13*g**4 + 6*g**4.
-4*g*(g - 4)*(g - 1)**3
Suppose 0 = 112*u - 85 - 203 + 64. Let k(c) be the first derivative of -9/4*c**4 - 3/5*c**5 + 1 + 0*c**3 + 0*c + 0*c**u. Factor k(j).
-3*j**3*(j + 3)
Let v(u) be the second derivative of 4*u**4 - 13/20*u**5 - 6*u**3 + 40 - u + 0*u**2 + 1/30*u**6. Find a such that v(a) = 0.
0, 1, 6
Let c be (45/(-15))/(1 + 10/(-4)). Let h be 432/560 - c/10. Determine z, given that 0*z + 0*z**2 - h*z**5 - 8/7*z**3 + 0 + 12/7*z**4 = 0.
0, 1, 2
Let n(i) = -29*i**2 + 26*i - 136. Let z be n(6). Let v = z + 1026. Let 4/11 + 2/11*d - 2/11*d**v = 0. What is d?
-1, 2
Let i(o) be the third derivative of 3*o**6/40 - 55*o**5/42 + 47*o**4/21 - 32*o**3/21 - o**2 - 119. Factor i(d).
(d - 8)*(7*d - 2)*(9*d - 4)/7
Find r, given that 0 - 1/4*r**4 - 3/2*r**2 + 0*r - 7/4*r**3 = 0.
-6, -1, 0
Let m(f) = 2*f**5 + 4*f**3 + 3*f. Let i(n) = 4*n + 46 - 46 + 5*n**3 + 3*n**5. Let a(p) = 3*i(p) - 4*m(p). Suppose a(o) = 0. Calculate o.
-1, 0, 1
Let n(b) be the first derivative of -97 + 3/2*b**2 - 18*b - 3/4*b**4 + 6*b**3. Solve n(w) = 0.
-1, 1, 6
Let r(i) be the first derivative of i**4/2 - 56*i**3 + 608*i**2 - 9637. Factor r(h).
2*h*(h - 76)*(h - 8)
Let p = -17022 + 17055. Let z(q) be the first derivative of -2/3*q**6 + 0*q**2 - 7*q**4 - 4*q**3 - 4*q**5 - p + 0*q. Factor z(l).
-4*l**2*(l + 1)**2*(l + 3)
Factor 432/5*f**2 + 0 - 3/5*f**3 - 429/5*f.
-3*f*(f - 143)*(f - 1)/5
Solve -2/21*s**4 - 10/21*s**3 + 0 - 2/7*s**2 + 6/7*s = 0 for s.
-3, 0, 1
Suppose 0 = j - 3*d + 10, 0 = -j + 4*d - 9 - 3. Let a = j - -6. Factor 2/3*s**2 + 4/3 + a*s.
2*(s + 1)*(s + 2)/3
Let i(x) = -29*x - 84. Let s be i(-3). Factor -5*y**3 + 14*y**s + 0*y - 25*y**2 + 10*y + 7*y**3 + 4*y**3 - 5*y**4.
-5*y*(y - 2)*(y - 1)**2
Let j(f) be the third derivative of 1/24*f**6 + 0*f - 1/3*f**5 + 0*f**4 - 96*f**2 + 0*f**3 + 0. Factor j(o).
5*o**2*(o - 4)
Let c(s) be the third derivative of s**7/42 - 5*s**6/24 + 25*s**4/6 - 40*s**3/3 - 924*s**2. Determine x so that c(x) = 0.
-2, 1, 2, 4
Let u(m) be the first derivative of m**4/14 - 4*m**3/3 + 43*m**2/7 - 60*m/7 - 395. Let u(g) = 0. What is g?
1, 3, 10
Let v(f) be the first derivative of -13/15*f**3 + 3/10*f**4 - 7/5*f**2 - 3/5*f - 49. Factor v(q).
(q - 3)*(2*q + 1)*(3*q + 1)/5
Solve 1 - 1 - 54847*o - 240*o**2 + 36*o**3 + 27*o**4 + 3*o**5 + 54271*o = 0.
-4, 0, 3
Suppose -3807*z**3 + 7208*z**3 - 702 + 4202*z + 14*z**4 - 3643*z**3 - 438 - 674*z**2 = 0. What is z?
-5, 2/7, 3, 19
Suppose 0*h - 64/7*h**3 + 2/7*h**4 + 0 + 414/7*h**2 = 0. What is h?
0, 9, 23
Let p(u) be the third derivative of 1/10*u**5 - 11/16*u**4 + 0*u - 1/2*u**3 - 11/224*u**8 + 7 + 7*u**2 - 1/70*u**7 + 11/40*u**6. What is v in p(v) = 0?
-1, -2/11, 1
Let w = 39093/2 - 19546. Let g(z) be the first derivative of -8192*z - 12 + w*z**4 + 768*z**2 - 32*z**3. Find y such that g(y) = 0.
16
Let d(g) be the first derivative of g**6/1260 + 17*g**5/210 + 64*g**3/3 - 115. Let u(c) be the third derivative of d(c). Find i such that u(i) = 0.
-34, 0
Let f(o) be the first derivative of 18*o + 1/6*o**3 - 201 + 37/4*o**2. Factor f(m).
(m + 1)*(m + 36)/2
Let c = 12216 + -85511/7. Let d(a) be the first derivat