5 - 6*d**4 + 5*d**3 - 3*d. Let o(s) = -2*s**5 + 11*s**4 - 9*s**3 + 5*s. Let h(l) = 5*g(l) + 3*o(l). Let h(v) = 0. Calculate v.
0, 1, 2
Let m = 30 + -28. Solve 4*c**2 - 24*c + c**2 + 48 - 2*c**m = 0 for c.
4
Let z(p) = 2*p**3 + 2*p - 8. Let h(y) = 5*y**3 - y**2 + 4*y - 17. Let m(o) = -4*h(o) + 9*z(o). Solve m(b) = 0 for b.
-1, 1, 2
Let h(t) be the first derivative of t**4/2 + 10*t**3/3 - 8*t**2 - 96*t + 29. Factor h(o).
2*(o - 3)*(o + 4)**2
Suppose 3*n - 47 = -2*c, -3*c + 65 = 4*n + 2*c. Let o be (10/15)/(4/66). Find k, given that n*k - 4*k**2 - 14*k + o*k = 0.
0, 3
Let v be 26/221 + (-2)/17. Factor 0*a**2 + 3/4*a**5 + v*a**3 + 3/4*a**4 + 0*a + 0.
3*a**4*(a + 1)/4
What is u in -10/7*u**4 + 2 - 4*u**3 + 2/7*u**5 + 26/7*u - 4/7*u**2 = 0?
-1, 1, 7
Let o(y) = -y**4 + y**3 - 9*y**2 - 9*y + 2. Let i(s) = -s**4 - 10*s**2 - 10*s + 1. Let n(f) = 4*i(f) - 5*o(f). Find c, given that n(c) = 0.
-1, 1, 2, 3
Let k(a) = 2*a**2 - 28*a + 100. Let t be k(7). Factor -1/2*u**t + 1/2*u**3 + 1/2 - 1/2*u.
(u - 1)**2*(u + 1)/2
Let r(a) be the first derivative of a**6/900 - a**4/15 - 38*a**3/3 - 37. Let n(z) be the third derivative of r(z). Factor n(u).
2*(u - 2)*(u + 2)/5
Suppose -35 = 16*s + 13. Let z be (-1 - (-26)/20)*(-4)/s. Factor -2/5 - 2/5*q**3 + z*q**2 + 2/5*q.
-2*(q - 1)**2*(q + 1)/5
Let k(m) be the first derivative of -m**4/10 + 4*m**3/5 - 9*m**2/5 - 9. Factor k(b).
-2*b*(b - 3)**2/5
Let h(f) be the third derivative of -f**7/420 - f**6/90 - 8*f**3/3 + 10*f**2. Let i(l) be the first derivative of h(l). Let i(u) = 0. Calculate u.
-2, 0
Let p(x) be the second derivative of 7*x**6/1020 + x**5/255 - 7*x**4/204 - 2*x**3/51 - 19*x**2/2 - 5*x. Let y(z) be the first derivative of p(z). Factor y(u).
2*(u - 1)*(u + 1)*(7*u + 2)/17
Let g(m) = -9*m**4 - 26*m**3 - 16*m**2 + 30*m + 25. Let o(w) = 8*w**4 + 27*w**3 + 17*w**2 - 30*w - 25. Let q(x) = -3*g(x) - 4*o(x). Factor q(s).
-5*(s - 1)*(s + 1)**2*(s + 5)
Factor 0 + 1/5*v**2 - 101/5*v.
v*(v - 101)/5
Let h be (-12)/(-54)*(-9)/(-1). Factor -2*n**2 - 5 + 6*n + 3 - h.
-2*(n - 2)*(n - 1)
Let g be 33/9 + 4/12. Suppose -h = -g + 1. Factor -6*a**3 + 4*a**3 + 2*a**2 - h + 3.
-2*a**2*(a - 1)
Suppose 86*y + 4*b = 90*y - 32, 38 = 4*y - 5*b. Factor -1/2*x**3 + 1/2*x - 1/8*x**4 + 3/8 - 1/4*x**y.
-(x - 1)*(x + 1)**2*(x + 3)/8
Suppose 20164 + 352*w**2 - 16385*w - 67*w**2 - w**3 + 355*w - 4418*w = 0. Calculate w.
1, 142
Let n(r) = 13*r**3 - 56*r**2 + 9*r + 56. Let q(y) = 7*y**3 - 28*y**2 + 5*y + 28. Let c(o) = -6*n(o) + 11*q(o). Factor c(s).
-(s - 28)*(s - 1)*(s + 1)
Let n(y) be the first derivative of -25*y**6/18 + 21*y**5 - 415*y**4/4 + 1325*y**3/9 + 125*y**2 + 69. Solve n(x) = 0.
-2/5, 0, 3, 5
Let l(c) = -9*c**4 + 12*c**3 + 6*c**2 - 3. Let q(h) = -8*h**4 + 11*h**3 + 5*h**2 - h - 2. Let u(r) = -5*l(r) + 6*q(r). Factor u(s).
-3*(s - 1)**3*(s + 1)
Factor 182/5*z + 0 + 2/5*z**2.
2*z*(z + 91)/5
Let j be (-1 + -1)*(-16)/32. Let f(s) = s**2 - 6*s - 5. Let g be f(7). Factor 2 - 1 + o - 7*o**2 + j + 6*o**g.
-(o - 2)*(o + 1)
Let z(a) = 16*a**3 - 3906*a**2 + 314946*a - 8503047. Let k(u) = 4*u**3 - 976*u**2 + 78736*u - 2125762. Let w(r) = -9*k(r) + 2*z(r). Factor w(h).
-4*(h - 81)**3
Let j(k) be the second derivative of k**7/21 + k**6/5 - 2*k**4/3 + 10*k. Factor j(y).
2*y**2*(y - 1)*(y + 2)**2
Let c(v) be the first derivative of -48*v**5/25 - 18*v**4/5 + 3*v**3 - 3*v**2/5 - 440. Factor c(h).
-3*h*(h + 2)*(4*h - 1)**2/5
Let y(v) be the third derivative of v**7/1050 + v**6/50 - 3*v**5/20 - 22*v**2 + 2*v. Let y(g) = 0. What is g?
-15, 0, 3
Suppose 0 = 2*j - 4 - 0. Suppose -2*f = j*b - b, -2*f + b + 8 = 0. Factor -3/4 + 3/4*r**f + 3/4*r**3 - 3/4*r.
3*(r - 1)*(r + 1)**2/4
Let l be 21/7 - -2 - 45/(-72)*-8. Factor w**3 + 0*w + 12*w**4 + l + 95/4*w**5 + 0*w**2.
w**3*(5*w + 2)*(19*w + 2)/4
Suppose -5*s + 28 = 13. Let 9*i**3 - 5*i**s + i**3 = 0. Calculate i.
0
Let n(l) be the first derivative of -9/4*l**2 + 7 - 3*l - 1/2*l**3. Factor n(q).
-3*(q + 1)*(q + 2)/2
Let j(y) = 2*y**2 + 13*y - 64. Let a(z) = -8*z**2 - 64 + 0*z**2 + 14*z + 9*z**2. Let d(h) = -3*a(h) + 2*j(h). Factor d(t).
(t - 8)**2
Let r(m) be the third derivative of -m**6/360 + m**5/36 + 17*m**4/72 - 7*m**3/6 + 39*m**2. Factor r(d).
-(d - 7)*(d - 1)*(d + 3)/3
Factor 9 + 13*h**3 - 3*h**3 - 36*h**2 + 7 + 6 - 35 + 38*h + h**4.
(h - 1)**3*(h + 13)
Suppose -4*o = -4*g - 12, 2*o - 6*o - 2*g - 6 = 0. Let p(i) be the second derivative of 0*i**2 + 0*i**3 - i + 1/20*i**4 + o. Factor p(f).
3*f**2/5
Find h, given that 20*h**3 - 176 - 4*h**4 + 25*h + 168 - 36*h**2 + 3*h = 0.
1, 2
Let -k + 3/4*k**3 + 1/4*k**5 + k**4 - k**2 + 0 = 0. What is k?
-2, -1, 0, 1
Let x(b) be the third derivative of -2*b**5/135 - 17*b**4/108 - 4*b**3/27 + b**2 + 37. Factor x(c).
-2*(c + 4)*(4*c + 1)/9
Let h be (-11 - -16) + -3 + -2. Let c(f) be the third derivative of 6*f**2 + h*f + 0 - 3/40*f**6 + 4/3*f**3 + 1/2*f**5 - 7/6*f**4. Determine p so that c(p) = 0.
2/3, 2
Let q(s) = 6*s**2 - 4*s - 2. Let z(u) = 18*u + 1 - 14*u + u**2 - 8*u**2. Let r(f) = -5*q(f) - 4*z(f). Factor r(y).
-2*(y - 3)*(y + 1)
Find h, given that -2/5*h + 8/5*h**4 + 0 + 2*h**2 - 16/5*h**3 = 0.
0, 1/2, 1
Suppose 0*o + 0 - 1/7*o**3 - 16/7*o**2 = 0. What is o?
-16, 0
Suppose b - 3*b - 5*t = -23, -4*t = b - 16. Factor -b - 50*a**2 + a**2 - 28*a + 56*a.
-(7*a - 2)**2
Let s(c) be the second derivative of c**7/63 + 4*c**6/45 - c**5/15 - 2*c**4/3 + c**3 - 12*c + 3. Determine k so that s(k) = 0.
-3, 0, 1
Let j(v) be the first derivative of -3/140*v**5 + 3/56*v**4 - 1/14*v**3 - 8 + 0*v + 1/280*v**6 - 3*v**2. Let i(x) be the second derivative of j(x). Factor i(k).
3*(k - 1)**3/7
Suppose -3*u = b + 8, -2*u - 6 = b + 1. Let a(f) = -f - 1. Let p(x) = -x**2 + 6. Let s(t) = u*p(t) - 6*a(t). Factor s(m).
m*(m + 6)
Let v(g) = g**4 + 145*g**3 + 148*g**2 + 2*g + 2. Let s(b) = 3*b**4 + 579*b**3 + 594*b**2 + 9*b + 9. Let o(a) = 2*s(a) - 9*v(a). Factor o(f).
-3*f**2*(f + 1)*(f + 48)
Let l be 371/159 + 4/(-6)*3. Determine f so that 0 + 2/3*f**4 + 0*f**2 - l*f + f**3 = 0.
-1, 0, 1/2
Determine j, given that 0 + 1/2*j**3 + j**2 + 1/2*j = 0.
-1, 0
Let y = 2046 - 2046. Factor y*w**2 + 0 + 1/5*w**5 + 0*w + 0*w**3 + 2/5*w**4.
w**4*(w + 2)/5
Let q(o) be the first derivative of 0*o + 35 - 2/3*o**3 + 8*o**2. Find g such that q(g) = 0.
0, 8
Let a(l) be the third derivative of l**8/48 + 5*l**7/168 - 11*l**6/18 + l**5/2 + 10*l**3/3 + 6*l**2. Let t(s) be the first derivative of a(s). Factor t(p).
5*p*(p - 2)*(p + 3)*(7*p - 2)
Suppose 9 = -5*u + 19. Let c = 73/207 - 3/23. Factor 2/9*x**u + 0 - c*x.
2*x*(x - 1)/9
Suppose 0 = 1788*u - 1787*u + 3*j - 17, 4*u = -4*j + 28. Solve 2/3 + 8/15*o - 2/15*o**u = 0.
-1, 5
Let i be (6/3 - 1)*(-68)/(-187). Let o(f) be the first derivative of 14/55*f**5 + i*f - 13/11*f**2 - 23/22*f**4 + 4 + 18/11*f**3. Find u, given that o(u) = 0.
2/7, 1
Let r(h) = -h**3 + 17*h**2 + 31*h + 25. Let j(n) = 2*n**3 - 35*n**2 - 63*n - 52. Let f(z) = -6*j(z) - 13*r(z). Solve f(d) = 0.
-1, 13
Let m(j) be the third derivative of 1/168*j**8 + 0*j**4 + 0*j**3 + 0 + 0*j - 3*j**2 - 1/35*j**7 + 1/20*j**6 - 1/30*j**5. Solve m(a) = 0 for a.
0, 1
Suppose 39 = 7*f + 11. Let q(a) be the second derivative of 1/45*a**6 + 1/63*a**7 + 0 - 2/9*a**3 - 5/18*a**f - 1/10*a**5 + 4*a + 0*a**2. What is v in q(v) = 0?
-1, 0, 2
Find k such that -12/7 + 2/7*k + 0*k**3 - 8/7*k**4 + 20/7*k**2 - 2/7*k**5 = 0.
-3, -2, -1, 1
Let d(j) be the second derivative of j**6/10 - 3*j**5/4 + 3*j**4/2 - 175*j. Factor d(x).
3*x**2*(x - 3)*(x - 2)
Let j(a) = -5 - 3*a - 1 + 4 + 4*a. Let y be j(6). Determine v, given that 1 + 35 + 20*v - v**2 + 5*v**2 + y*v = 0.
-3
Suppose 84 = 7*i + 70. Factor -i - 49/2*u**2 - 14*u.
-(7*u + 2)**2/2
Let c be (-12)/(-4)*(-40)/(-6). Suppose 6*n = n + c. Let -3*x**3 + x**3 + n*x**3 = 0. What is x?
0
Let o be -2 - ((-1)/2 + (-458)/4). Factor -108*n - 5*n**5 + 2*n**2 + o*n + 9*n**2 - 10*n**4 - n**2.
-5*n*(n - 1)*(n + 1)**3
Let b(d) = d**4 + 3*d**2 + d + 1. Let q(c) = -2*c**4 + 4*c**3 - 15*c**2 - 7*c + 2. Let r(l) = -3*b(l) - q(l). What is o in r(o) = 0?
-5, -1, 1
Suppose -2*s = -8 + 4. Let c(p) be the first derivative of 4 - 4/5*p + 1/10*p**4 - 8/15*p**3 + p**s. Determine t so that c(t) = 0.
1, 2
Suppose -3*o + 6 = -12. Suppose 4*l + 5 = 5*z - 7, 5*z - 26 = -3*l. Factor -q**3 + 4*q**2 + q - o*q**2 + l*q**2