*v = -4*g - 13. Let -1/3*k**2 + 0 + 1/3*k**5 + 0*k + 1/3*k**4 - 1/3*k**v = 0. What is k?
-1, 0, 1
Let z = 5 - 3. Suppose -n - 3*n = -16. Factor 1 + 7 + 267*u**z - 553*u**3 + 238*u**n - 42*u**4 + 99*u**2 - 92*u.
(u - 2)*(4*u - 1)*(7*u - 2)**2
Let b(o) be the third derivative of o**6/30 + 4*o**5/15 - 2*o**4 + 484*o**2. What is y in b(y) = 0?
-6, 0, 2
Let b(x) be the first derivative of -96/7*x**5 + 28 + 27/7*x**2 + 142/7*x**4 - 4/7*x - 38/3*x**3 + 64/21*x**6. Suppose b(g) = 0. Calculate g.
1/4, 1, 2
Let g(q) be the first derivative of -q**4/8 + 9*q**3/2 - 243*q**2/4 + 12*q + 3. Let t(h) be the first derivative of g(h). Solve t(u) = 0.
9
Let z(n) be the third derivative of 5*n**8/336 - 5*n**7/42 + n**6/6 + 4*n**5/3 - 20*n**4/3 + 40*n**3/3 - 13*n**2. Determine t so that z(t) = 0.
-2, 1, 2
Let c(v) be the first derivative of v**2 - 1/3*v**3 - 3/4*v**4 + 1/6*v**6 - 12 + 0*v + 1/5*v**5. What is u in c(u) = 0?
-2, -1, 0, 1
Suppose 10 = -5*r, 2*r - 19 = -3*j + 4*r. Let w be (2/j)/(14/70). Find l such that -1 + 1 + 2 - l**2 + w*l - 3 = 0.
1
Let n(c) = c**3 + c**2 + c. Let w(m) = -5*m**5 - 3*m**4 - m**3 - 3*m**2 - 3*m. Let i(x) = -3*n(x) - w(x). Determine g so that i(g) = 0.
-1, 0, 2/5
Suppose 0 = -2*v - 4*v - 78. Let b = v - -23. Factor -5*g**2 - 41*g**3 + b*g**2 + 3*g**2 - 15*g**3 + 98*g**4.
2*g**2*(7*g - 2)**2
Factor 0 - 2*y**2 + 2/5*y**4 + 4/5*y + 6/5*y**3 - 2/5*y**5.
-2*y*(y - 1)**3*(y + 2)/5
Let p(y) be the first derivative of y**6/3 - 56*y**5/5 + 165*y**4/2 + 300*y**3 + 76. Solve p(x) = 0 for x.
-2, 0, 15
Let a(n) = n**3 - 12*n**2 - 16*n. Let s(c) = -6*c**2 + 10*c - 38*c + 12*c - 6*c**2. Let u(l) = -4*a(l) + 3*s(l). Let u(x) = 0. What is x?
-1, 0, 4
Let u = 2/167 + 300/2839. Factor 10/17*f**2 - u*f**3 - 16/17*f + 8/17.
-2*(f - 2)**2*(f - 1)/17
Let l(j) = 4*j**2 + 123*j - 271. Let w(o) = 12*o**2 + 368*o - 808. Let b(m) = 8*l(m) - 3*w(m). Factor b(a).
-4*(a - 2)*(a + 32)
Let y(g) = 16*g**3 + 170*g**2 + 97*g - 28. Let f be y(-10). Let 0 + 2/9*z - 2/9*z**f = 0. What is z?
0, 1
Let p(a) be the first derivative of 5*a**6/2 - 13*a**5 - 295*a**4/4 + 15*a**3 + 220*a**2 - 140*a + 786. Solve p(y) = 0 for y.
-2, 1/3, 1, 7
Let q be 427/732 + ((-2)/1)/6. Let x(f) be the third derivative of 0 + 0*f - 1/3*f**3 - 1/10*f**5 - 6*f**2 - q*f**4 - 1/60*f**6. Factor x(g).
-2*(g + 1)**3
Let l = 73339/3 - 24445. Solve l*u**2 - 8/3*u + 4/3 = 0 for u.
1
Let y be 291/27 + 2/9. Let v = y - 8. Factor -15*g**2 + 2*g + 17*g**2 + 2 + 5*g - v*g.
2*(g + 1)**2
Let d = -3747/2 - -1825. Let s = 49 + d. Factor -s*o**2 - 1 + 3/2*o.
-(o - 2)*(o - 1)/2
Let n(y) be the third derivative of 1/30*y**6 + 7/15*y**5 + 10/3*y**3 + 11/6*y**4 + 17*y**2 + 0*y + 0. Suppose n(r) = 0. What is r?
-5, -1
Let b = 46/57 - -10/19. Let s be 272/80 - (44/10 + -5). Factor -2/3 + b*j**3 + 0*j**2 + 2/3*j**s - 4/3*j.
2*(j - 1)*(j + 1)**3/3
Let t(c) be the second derivative of 3*c**5/140 + 3*c**4/28 - 33*c**3/14 - 15*c**2/2 - 2*c + 135. Factor t(l).
3*(l - 5)*(l + 1)*(l + 7)/7
Let b(y) = -14*y**3 + 56*y**2 - 91*y - 150. Let w(q) = -8*q**3 + 28*q**2 - 46*q - 76. Let h(n) = 6*b(n) - 11*w(n). Factor h(a).
4*(a - 2)*(a + 1)*(a + 8)
Let c(f) be the third derivative of f**7/525 - f**6/150 - f**5/50 - 105*f**2. Factor c(n).
2*n**2*(n - 3)*(n + 1)/5
Let h(s) = 4*s**3 - 28*s**2 - 95*s + 120. Let k(t) = -t**3 + 2*t**2. Let f(z) = -h(z) + k(z). Factor f(u).
-5*(u - 8)*(u - 1)*(u + 3)
Factor -10/9 + 8/9*m**3 - 10/3*m**2 - 16/3*m.
2*(m - 5)*(m + 1)*(4*m + 1)/9
Let y(f) be the third derivative of -f**8/168 + f**7/15 - 13*f**6/60 + f**5/30 + 7*f**4/6 - 8*f**3/3 + 83*f**2. Find d, given that y(d) = 0.
-1, 1, 2, 4
Let p(u) be the first derivative of 25*u**3/3 - 35*u**2/12 - 5*u/6 + 148. Let p(m) = 0. Calculate m.
-1/10, 1/3
Let v(t) = 19*t**3 + 13*t**2 + 16*t + 11. Let g(c) = -7*c**3 - 4*c**2 - 5*c - 4. Let p(k) = 11*g(k) + 4*v(k). Factor p(x).
-x*(x - 9)*(x + 1)
Let s(i) = i**4 + i**3 - i**2 + i. Let h(j) = -5*j**5 + 45*j**4 + 15*j**3 - 45*j**2 + 40*j. Let n(o) = h(o) - 25*s(o). Find w, given that n(w) = 0.
-1, 0, 1, 3
Let u(h) be the second derivative of -h**6/60 + 5*h**5/4 - 625*h**4/24 + 142*h. Factor u(k).
-k**2*(k - 25)**2/2
Let x = -464/5 + 93. Determine k so that 4/5 + 4/5*k - x*k**4 - 4/5*k**3 - 3/5*k**2 = 0.
-2, -1, 1
Let n(h) be the first derivative of h**4/12 + 11*h**3/6 + 30*h + 54. Let k(t) be the first derivative of n(t). Solve k(o) = 0 for o.
-11, 0
Let h(c) be the first derivative of 6*c - 1/2*c**3 + 3/20*c**5 - 1/4*c**4 + 3/2*c**2 + 7. Let x(n) be the first derivative of h(n). Factor x(i).
3*(i - 1)**2*(i + 1)
Factor -2/11*b**2 - 6/11*b - 4/11.
-2*(b + 1)*(b + 2)/11
Let r(u) be the second derivative of u**5/480 + u**4/64 + 23*u**2/2 + 16*u. Let v(d) be the first derivative of r(d). Determine l, given that v(l) = 0.
-3, 0
Let y be 1 + -7 - (-9 - -3). Let j(a) be the second derivative of -8/3*a**3 + 3/5*a**5 + 2/15*a**6 + y*a**2 + 0*a**4 + a + 0. Factor j(k).
4*k*(k - 1)*(k + 2)**2
Let v(q) be the first derivative of -3*q**4/20 + 123*q**3/5 - 1116*q**2 - 11532*q/5 + 225. Suppose v(y) = 0. What is y?
-1, 62
Solve -1/3*j**2 - 20/3*j + 44/3 = 0 for j.
-22, 2
Let a be 1*(2 + 1 + 0). Suppose 5 - 4 = a*h - 2*p, h - p + 1 = 0. Solve -4/3*d**2 - 14/3*d**h - 10/3*d**4 + 0 + 0*d = 0 for d.
-1, -2/5, 0
Let g be 1/(1 - 0) - -2. Let -13*b + 17*b**2 - b**3 - b**g - 9*b**2 + 7*b = 0. Calculate b.
0, 1, 3
Suppose -2*d + 6 = 4*a, 0 = 5*d - 2*a - 3*a + 15. Let m be (104/(-36) - -3)/(d/(-6)). Suppose 2/3*j**2 + 2/3*j**3 - m*j**4 - 2/3*j + 0 = 0. Calculate j.
-1, 0, 1
Let j(a) be the second derivative of -a**8/5600 - 4*a**7/4725 - a**6/1080 + a**5/450 + 5*a**4/6 - 7*a. Let r(x) be the third derivative of j(x). Factor r(d).
-2*(d + 1)**2*(9*d - 2)/15
Let d be ((-1)/4)/((-36444)/2592 + 14). Solve -1024/13*n**3 + d - 432/13*n + 1152/13*n**2 = 0 for n.
3/8
Let q(u) be the first derivative of -2*u**6/15 + 8*u**5/25 + u**4/5 - 8*u**3/15 + 61. Suppose q(d) = 0. Calculate d.
-1, 0, 1, 2
Let f = -4899 + 989601/202. Let u = f + 799/606. Determine a so that 4/3*a**3 - 4*a**2 + 4*a - u = 0.
1
Determine o so that -121*o + 2*o**3 + 233*o - 122*o + 0*o**3 + 8*o**2 = 0.
-5, 0, 1
Let p be (-9)/6 + (-10)/(-4). Let h(w) be the first derivative of -2*w - 8 - 3*w**3 + 2*w**3 + 5*w + p. Factor h(k).
-3*(k - 1)*(k + 1)
Let x(l) be the first derivative of -1/6*l + 1/6*l**2 + 16 - 1/18*l**3. Factor x(v).
-(v - 1)**2/6
Let x be (-183)/(-27) + -5 - 10/6. Let w(z) be the first derivative of -x*z**4 - 4/9*z**2 + 2/9*z + 10/27*z**3 + 7. What is n in w(n) = 0?
1/2, 1
Find k, given that 0 - 36/7*k**2 - 1156/7*k**4 + 0*k - 408/7*k**3 = 0.
-3/17, 0
Let v(g) = 113 - 113 + 2*g - g. Let b be v(2). Suppose 6/5 + 3/5*u**b - 9/5*u = 0. What is u?
1, 2
Let z = 9192 + -9190. Factor 4/3*y + 4/3*y**z + 4/9*y**3 + 4/9.
4*(y + 1)**3/9
Let p(t) be the first derivative of -t**6/15 - 16*t**5/25 - 17*t**4/10 - 4*t**3/3 - 323. Find q, given that p(q) = 0.
-5, -2, -1, 0
Let s(a) = 4*a**5 - a**4 + 4*a**3 + 5*a**2 - 2*a + 5. Let g(i) = i**5 - 3*i**2 - i**4 - 1 - i - 3*i**5 + i**5 + 2*i**2. Let o(c) = -3*g(c) - s(c). Factor o(n).
-(n - 2)*(n - 1)**3*(n + 1)
Let k(x) be the second derivative of x**8/1176 + 2*x**7/735 + x**6/420 - 31*x**2/2 + 19*x. Let t(p) be the first derivative of k(p). Factor t(j).
2*j**3*(j + 1)**2/7
Let k(m) be the third derivative of -32*m**2 - 5/42*m**7 + 5/12*m**6 + 25/24*m**4 + 0*m - 5/6*m**3 + 0 + 5/336*m**8 - 5/6*m**5. Factor k(t).
5*(t - 1)**5
Let v be 4/(-24) - (-19)/6. Solve -2*h**4 + 9*h + 36*h**v + 20*h**4 - h**5 - 2*h**5 + 30*h**2 + 6*h**5 = 0 for h.
-3, -1, 0
What is n in -6 - 3/2*n**5 - 6*n**4 + 3*n**3 - 3/2*n + 12*n**2 = 0?
-4, -1, 1
Let v = -73/4 - -677/36. Let c = v + 19/63. Determine m, given that 2/7*m**3 + 2/7 + c*m**2 + 6/7*m = 0.
-1
Suppose 5*t = 4*l + 9, 1 = -2*t + 4*l - 5. Find d such that 0*d**3 - 5*d**3 + 4*d**2 + d**5 - t*d**4 - 4*d**5 + 9*d**3 = 0.
-2, -2/3, 0, 1
Let q = 13 - 18. Let n = 9 + q. Let n*l**2 - 4*l - 2*l**2 + 4*l - 2*l = 0. What is l?
0, 1
Factor 21/5*n - 8/5*n**2 - 18/5 + 1/5*n**3.
(n - 3)**2*(n - 2)/5
Factor 2/5*q**2 - 8/5*q + 3/5*q**3 + 0.
q*(q + 2)*(3*q - 4)/5
Let g(p) be the second derivative of -p**4/3 - 32*p**3/3 - 78*p**2 + 56*p. Factor g(u).
-4*(u + 3)*(u + 13)
Let t(l) be the third derivative of 3/140*l**7 - 1/22