*d - 1008. Let y be t(-1). Find u such that -12*u - 4/5*u**3 - 20 + 36/5*u**y = 0.
-1, 5
Let w = -25 + -9. Let b = -31 - w. Factor 2 - 20*l - b*l**2 + 21*l + l**2 - l**3 + 0*l**2.
-(l - 1)*(l + 1)*(l + 2)
Suppose 14*n - 272 = -17*n + 23*n. Let m(i) be the first derivative of n - 7*i**3 + 15/2*i**2 + 6*i. Factor m(v).
-3*(v - 1)*(7*v + 2)
Factor 4 - 1/7*p**3 + 4/7*p - p**2.
-(p - 2)*(p + 2)*(p + 7)/7
Suppose 0 = 811*j - 2425*j + 807*j + 805*j. Let j*w**4 + 0*w - 2*w**2 + 0 + 1/3*w**5 - 7/3*w**3 = 0. What is w?
-2, -1, 0, 3
Let r(k) = 5*k**3 + k - 1. Let y be r(1). Suppose 7 + 8 = y*g. Factor -64 + 7*x - 4*x**4 - 7*x + 4*x**g + 48*x**2 + 16*x.
-4*(x - 4)*(x - 1)*(x + 2)**2
Suppose 0 = 105*k - 123 - 297. Let d(p) be the second derivative of 5/24*p**3 + 0 + 14*p + 5/4*p**2 - 5/48*p**k. Determine m so that d(m) = 0.
-1, 2
Let d(v) be the first derivative of v**5/5 - 167*v**4/4 - 343*v**3 - 1553*v**2/2 - 692*v - 6569. Let d(b) = 0. What is b?
-4, -1, 173
Let t be (-144)/126 - (-792)/252. Factor 8/9*g**4 - 2/9*g**5 + 0 - 8/3*g**t - 2*g + 4/9*g**3.
-2*g*(g - 3)**2*(g + 1)**2/9
Find o, given that 44/3 - 6*o**3 + 83/3*o**2 - 36*o - 1/3*o**4 = 0.
-22, 1, 2
Let -33282/5 - 516/5*j - 2/5*j**2 = 0. Calculate j.
-129
Let g(i) be the third derivative of -i**7/2520 + i**6/90 + 73*i**4/24 - 8*i**2 + 4. Let t(x) be the second derivative of g(x). Let t(s) = 0. What is s?
0, 8
Let t = -3753 - -3753. Let c(x) be the first derivative of 8/9*x**3 + t*x**2 + 4 + 0*x - 7/3*x**4. Factor c(d).
-4*d**2*(7*d - 2)/3
Let q(n) = -6*n**3 - n**2 - 4*n + 3. Let v be q(-2). Suppose -29*r + 3 = -v. Factor 1/3 + 1/3*k**r + 2/3*k.
(k + 1)**2/3
Let r(c) be the third derivative of c**10/1285200 + c**9/64260 + 5*c**5/12 - c**3/2 + 59*c**2. Let x(v) be the third derivative of r(v). What is t in x(t) = 0?
-8, 0
Let d(l) be the third derivative of -l**8/1008 + l**7/72 + l**6/216 - 7*l**5/72 + 83*l**3/6 - 112*l**2. Let n(p) be the first derivative of d(p). Factor n(t).
-5*t*(t - 7)*(t - 1)*(t + 1)/3
Solve 0*q**4 - 9*q**3 - 12*q**2 + 50*q**3 - 12*q**2 + 6*q**4 - 224*q + 23*q**3 - 2*q**5 = 0 for q.
-4, -2, 0, 2, 7
Factor -438*m - 95922 - 1/2*m**2.
-(m + 438)**2/2
Factor -60*x**2 + 8*x**2 + 933*x**3 - 997*x**3 - 12*x**4.
-4*x**2*(x + 1)*(3*x + 13)
Let m(q) be the second derivative of -q**5/120 + q**4/24 + 20*q**2 - 44*q. Let c(f) be the first derivative of m(f). Solve c(y) = 0 for y.
0, 2
Suppose 45*r + 9 = 48*r. Factor -213*w + r*w**2 + 221*w + 16 - 23*w**2 + 16 + 4*w**3.
4*(w - 4)*(w - 2)*(w + 1)
Suppose -3*x - 12 = -33. Solve x - u**2 + 3 - 2*u + 5 - 16 = 0 for u.
-1
Let p(g) be the first derivative of -g**3 + 1005*g**2 - 336675*g - 370. Factor p(c).
-3*(c - 335)**2
Let c(f) = -4*f**2 + 109*f + 2. Let l be c(0). Solve 0*o**4 + 4/3*o**3 + 0 - 2/3*o**5 - 2/3*o + 0*o**l = 0 for o.
-1, 0, 1
Let w(z) = 3*z**2 + 10*z + 27. Let c(g) = 4*g**2 + 8*g + 28. Suppose -3*a - q + 2 = 23, 0 = 2*a + q + 15. Let x(t) = a*w(t) + 5*c(t). What is l in x(l) = 0?
-1, 11
Let n(g) = -g**4 - g**3 + g**2 + g - 1. Let t(p) be the first derivative of 3/5*p**5 - 2*p**2 - 9 - p**3 + 2*p + p**4. Let x(z) = -2*n(z) - t(z). Factor x(v).
-v*(v - 1)*(v + 1)*(v + 2)
Let r be -10 - 28/(-35)*(-4)/(8/(-30)). Factor 1/6*w**4 + 8 + 1/6*w**5 - 2*w**3 - 8/3*w**r + 16/3*w.
(w - 3)*(w - 2)*(w + 2)**3/6
Suppose 0 = 21*d - 17*d - 44. Suppose 0 = u - 2*o, 0*u + 5*o = -3*u + d. Let 3*y**4 - 8*y + 8*y**3 - 10*y**4 + 4*y**u + 3*y**4 = 0. What is y?
-1, 0, 1, 2
Let a(l) = -8*l**2 - 48*l - 569. Let f(q) be the first derivative of -q**3/3 + q - 7. Let m(w) = 5*a(w) - 35*f(w). Suppose m(v) = 0. Calculate v.
-24
Find v such that -220*v**3 + 43588/5*v**2 - 194/5*v**4 + 6/5*v**5 - 20250 + 57870*v = 0.
-9, 1/3, 25
Suppose -11*w = 3*i - 15*w - 3, -4*i = -w - 17. Suppose 53*h**5 - 57*h**i - 4732*h**2 - 1337*h**3 - 148*h**4 - 379*h**3 + 17576*h = 0. What is h?
-13, 0, 2
Let h(s) = -44*s**3 - 4*s**2 + 96*s - 24. Let l(t) = 5 + 24*t**2 + 19*t**2 - 42*t**2 + 9*t**3 - 19*t. Let j(k) = -5*h(k) - 24*l(k). Suppose j(y) = 0. What is y?
-2, 0, 3
Let y(u) = u**3 - 4*u**2 - 19*u - 11. Let s be y(7). Factor 8*a**4 + 4*a**4 + 14*a**3 + 0*a**3 + 4*a**5 - 6*a**s.
4*a**3*(a + 1)*(a + 2)
Let t(r) be the third derivative of -3025/3*r**3 + 4*r - 37/10*r**5 + 1/60*r**6 + 16*r**2 + 0 + 1045/4*r**4. Let t(h) = 0. Calculate h.
1, 55
Let a(i) be the third derivative of -i**6/60 - 1808*i**5/35 - 1400425*i**4/28 + 1201250*i**3/21 - 2*i**2 - 17*i + 75. Solve a(n) = 0.
-775, 2/7
Factor 46/7*r**2 + 0*r + 0 + 2/7*r**3.
2*r**2*(r + 23)/7
Let p(g) be the second derivative of g**7/84 - 7*g**6/120 - g**5/40 + 13*g**4/48 + g**3/4 + 5846*g. Let p(w) = 0. Calculate w.
-1, -1/2, 0, 2, 3
Let g(c) be the first derivative of c**4 + 88*c**3 + 1890*c**2 - 19600*c + 485. Find j, given that g(j) = 0.
-35, 4
Let t(g) = 120*g**3 - 1827*g**2 - 606*g + 75. Let s(l) = -4*l**2 - 7*l - 1. Let q(h) = 15*s(h) - t(h). Let q(z) = 0. What is z?
-2/5, 1/8, 15
Suppose -167 + 87 = 3*s - 86. Let k(c) be the second derivative of 0 - 1/20*c**4 + 9/10*c**s - 19*c - 1/5*c**3. Factor k(h).
-3*(h - 1)*(h + 3)/5
Factor -27*t**2 - 1/2*t**3 + 169/2*t - 57.
-(t - 2)*(t - 1)*(t + 57)/2
Let k(l) be the second derivative of -6/5*l**5 + 0 + 0*l**2 + 2/15*l**6 + 138*l - 16/3*l**3 + 4*l**4. Factor k(z).
4*z*(z - 2)**3
Let n = 1075/44 + -1053/44. Find a, given that -3/2*a**3 + 0 + 0*a + a**2 + n*a**4 = 0.
0, 1, 2
Suppose -5*h - 130 = -0*h. Let x = -23 - h. Factor 9*b**2 - 24*b**x - 8*b**2 - 8*b + 19*b**2 + 8*b**2.
-4*b*(2*b - 1)*(3*b - 2)
Let z(h) be the first derivative of -h**6/1080 + 7*h**5/360 - h**4/12 - 65*h**3/3 + 63. Let r(b) be the third derivative of z(b). Let r(f) = 0. Calculate f.
1, 6
Factor 138240/7 + 1152/7*h + 3/7*h**3 - 228/7*h**2.
3*(h - 48)**2*(h + 20)/7
Let w be 15/5 - ((3 - 3) + -53). Let m = w - 54. Solve 12 - 21*g**4 + 32*g**3 - 111*g**m - 99*g**5 - 6*g + 84*g**5 + 97*g**3 + 12 = 0.
-4, -2/5, 1
Let c = 2 + 0. Let w be (3 - (-6)/(-5))*(9216/864 + 1*-9). Determine f, given that -18/5 + 18/5*f**w - 42/5*f + 42/5*f**c = 0.
-3, -1/3, 1
Let v(o) be the third derivative of -37/60*o**6 - 32/15*o**5 - 1/168*o**8 + 0 + 0*o - 2/21*o**7 - 16/3*o**3 - 13/3*o**4 - 68*o**2. Let v(w) = 0. What is w?
-4, -2, -1
Let n(a) be the third derivative of 0 + 0*a**5 + 2*a**3 + 0*a + 1/9*a**4 - 1/540*a**6 + 5*a**2. Let r(w) be the first derivative of n(w). Solve r(d) = 0 for d.
-2, 2
Let i(w) = -4*w**3 - 2*w**2. Let g(s) = 2*s**4 + 54*s**3 - 80*s**2 + 78*s. Let t(n) = -2*g(n) - 18*i(n). Factor t(p).
-4*p*(p - 3)*(p - 1)*(p + 13)
Suppose 0 = -5*s - 30, -34 = -3*x + 2*x + 4*s. Let g(o) be the first derivative of 30*o + 55/2*o**2 + 5/4*o**4 + 5 + x*o**3. Find v such that g(v) = 0.
-3, -2, -1
Suppose 3*p - 38 = -107. Let v = p - -25. Factor 3 - 3 - 16 - 34*n - 4*n**v + 54*n.
-4*(n - 4)*(n - 1)
Suppose -1 = -3*t + 5. Find y, given that 49*y**t - 38*y**2 + 4*y + 2*y**3 - 17*y**2 = 0.
0, 1, 2
Suppose f + 36*j = -252, 3*f + 7 = -29*j + 28*j. Determine u, given that 16/13*u**3 + 0 - 14/13*u**2 - 2/13*u**4 + f*u = 0.
0, 1, 7
Let s be 0 + 0 + (-27)/(-7). Let m = 395533/84 - 56479/12. Factor -12/7*w - s + m*w**2.
3*(w + 1)*(5*w - 9)/7
Let x be 6/9*(0 - 7)*(-4248)/4956. Factor 10/9*a**3 - 4/3*a**2 + 1/9*a**x - 10/9*a + 11/9.
(a - 1)**2*(a + 1)*(a + 11)/9
Let c(l) = l**2 - 39*l + 118. Let f be c(37). Suppose -f*q = -47*q + 6. Solve -3/7*u + 1/7*u**q + 0 - 2/7*u**5 + 5/7*u**3 - 1/7*u**4 = 0 for u.
-3/2, -1, 0, 1
Let w = 15/1817 - -43533/9085. Factor -w - 2/5*o**2 + 14/5*o.
-2*(o - 4)*(o - 3)/5
Let d(w) = -24*w**2 - 3768*w + 4650. Let z(s) = -3*s**2 - 471*s + 578. Let a(q) = -4*d(q) + 33*z(q). Factor a(m).
-3*(m - 1)*(m + 158)
Let h(w) be the second derivative of w**6/30 - 7*w**5/10 - 19*w**4/12 + 28*w**3/3 + 30*w**2 + 3595*w. Find u, given that h(u) = 0.
-2, -1, 2, 15
Suppose -3*c + 256 = c + 4*c. Let x(r) be the third derivative of 1/15*r**5 + 1/15*r**6 + c*r**2 - 1/3*r**4 - 2/105*r**7 + 0*r**3 + 0*r + 0. Factor x(o).
-4*o*(o - 2)*(o - 1)*(o + 1)
Factor 64/9 - 2/9*g**3 + 8/9*g - 16/9*g**2.
-2*(g - 2)*(g + 2)*(g + 8)/9
Let o = 28963 - 53363/2. Find j, given that 117/2*j**2 + o*j + 1/2*j**3 + 59319/2 = 0.
-39
Solve 48/7*o**3 + 0 - 4/7*o**4 - 188/7*o**2 + 240/7*o = 0.
0, 3, 4, 5
Let b = 2552 - 2552. Let u(w) be the second derivative of -25*w - 