i) = -2*f(i) + 9*x(i). Factor p(u).
-3*(u + 1)*(u + 13)**2
Let -6/7 + 13/7*d**2 - 19/7*d**3 - d**4 + 19/7*d = 0. What is d?
-3, -1, 2/7, 1
Determine l, given that 0 - 7/3*l**4 + 0*l + 49/3*l**3 - 1/3*l**5 + 343/3*l**2 = 0.
-7, 0, 7
Let d(f) be the third derivative of 0*f - 1/2*f**3 + 5/8*f**4 + 0 - 9*f**2 - 5/16*f**5. Solve d(j) = 0.
2/5
Let o(z) be the second derivative of z**6/90 + z**5/10 + z**4/4 - 2*z**3/9 - 2*z**2 - 17*z - 4. Factor o(k).
(k - 1)*(k + 2)**2*(k + 3)/3
Let x(q) be the third derivative of 0*q**3 + 0*q - 1/330*q**5 - 22*q**2 + 0 + 0*q**4 - 1/660*q**6. Determine b, given that x(b) = 0.
-1, 0
Let d(u) be the first derivative of 6*u**6 + 12*u**5 + 7*u**4 + 4*u**3/3 - 267. Factor d(q).
4*q**2*(q + 1)*(3*q + 1)**2
Let i = 413/3 - 137. Let n(h) be the first derivative of -4 + 1/2*h**4 - h**2 + 2/5*h**5 + 0*h - i*h**3. Solve n(y) = 0 for y.
-1, 0, 1
Let n(u) = 4*u**3 + 5*u**2 - 46*u + 43. Let m(c) = 4*c**3 + 6*c**2 - 48*c + 42. Let j(g) = 3*m(g) - 2*n(g). Factor j(d).
4*(d - 2)*(d - 1)*(d + 5)
Let v(u) = u**3 + 8*u**2. Let g be v(-8). Let q be (-715)/(-3146) - (-2)/4. Determine h, given that q*h**3 + 0 + 2/11*h**4 + 6/11*h**2 + g*h = 0.
-3, -1, 0
Let h(r) be the third derivative of -2*r - 2/9*r**3 + 0*r**4 + r**2 + 0 + 1/45*r**5. Determine u so that h(u) = 0.
-1, 1
Factor -15*a - 85 - 3*a**2 + 45*a + 10.
-3*(a - 5)**2
Solve 216 + 93*n**2 + 2*n**3 - 55*n**2 - 4*n**3 - 56*n**2 = 0 for n.
-6, 3
Let v(k) = -k - 6. Let s be v(-8). Suppose 15 = -s*c + 7*c. What is r in 4*r**2 - 4*r**2 + 4*r**2 - c*r**2 + 3*r = 0?
-3, 0
Let y(o) be the first derivative of -o**4/18 - 14*o**3/27 + 17*o**2/9 - 2*o + 38. Find m, given that y(m) = 0.
-9, 1
Suppose -x + 2 = 1. Suppose 2 - x = i - t, 8 = 4*t. Factor 6*a + 3*a**3 - 5*a**3 - 3*a**3 - 4 + 3*a**i.
-2*(a - 1)**2*(a + 2)
Suppose -110*f + 233 + 122 = -85. Factor 1/6*d**f + 6 + 2*d - 11/6*d**2 - 1/3*d**3.
(d - 3)**2*(d + 2)**2/6
Let j be (-21 - (-1349)/57)/((-2)/(-54)). Let -1/2 - j*u**2 - 12*u = 0. Calculate u.
-1/12
Let g = 3151 - 47263/15. Find t such that g*t**2 + 2/15 - 4/15*t = 0.
1
Let l be (-19)/60 - (56/(-40) - -1). Let v(u) be the second derivative of 5/24*u**4 - 3/20*u**5 + 6*u + l*u**3 + 0 + 0*u**2. Factor v(y).
-y*(y - 1)*(6*y + 1)/2
Let y(w) be the first derivative of -w**5/5 + 10*w**4 - 358*w**3/3 - 420*w**2 - 441*w + 49. Factor y(m).
-(m - 21)**2*(m + 1)**2
Suppose -d = -4*i + 8 + 3, 5*i - 2*d = 10. Suppose -2*u + 6 = i*b, 2*b - 4 - 9 = -3*u. Factor 30*a**3 + a**u - 30*a**2 - 2 - 15*a**4 + 2*a**5 + 15*a - 1.
3*(a - 1)**5
Let l(h) be the second derivative of h**7/210 - h**6/40 + h**5/30 + 15*h**2/2 + 9*h. Let r(t) be the first derivative of l(t). Factor r(m).
m**2*(m - 2)*(m - 1)
Let c(s) be the first derivative of 13/18*s**2 - 1/12*s**4 - 16/27*s**3 + 38 + 2/3*s. Factor c(i).
-(i - 1)*(i + 6)*(3*i + 1)/9
What is w in 9/5*w**3 + 1/5*w**4 + 3*w**2 + 7/5*w + 0 = 0?
-7, -1, 0
Factor 41/2*p - 1681/4 - 1/4*p**2.
-(p - 41)**2/4
Let a(b) be the second derivative of -50*b**4/3 + 60*b**3 - 81*b**2 + 147*b. Factor a(o).
-2*(10*o - 9)**2
Let d(f) be the second derivative of f**6/60 + f**5/30 - 4*f**2 + 2*f. Let a(y) be the first derivative of d(y). Factor a(o).
2*o**2*(o + 1)
Let u(z) be the third derivative of -z**3 + 1/112*z**8 - 5/8*z**4 - 1/10*z**5 + 3*z - z**2 + 2/35*z**7 + 1/10*z**6 + 0. Factor u(r).
3*(r - 1)*(r + 1)**3*(r + 2)
Let r(f) be the first derivative of -f**3/8 - 3*f**2/16 + 3*f/4 + 197. Factor r(a).
-3*(a - 1)*(a + 2)/8
Determine u so that -18*u - 19*u**3 + 51*u**2 - 14*u**3 - 51*u**3 + 3*u**5 + 39*u**3 + 9*u**4 = 0.
-6, 0, 1
Let k(b) = 6*b**3 + 108*b**2 + 784*b + 676. Let c(w) = w**3 + 2*w. Let o(r) = -2*c(r) + k(r). Factor o(z).
4*(z + 1)*(z + 13)**2
Let u(t) = -3*t**2 + 21*t - 3. Let x(c) = -3*c**2 + 18*c - 2. Let f(b) = -2*u(b) + 3*x(b). Factor f(m).
-3*m*(m - 4)
Let f(s) = 19*s - 570. Let z be f(30). Let x(a) be the second derivative of -1/165*a**6 + 4/33*a**3 + 0*a**2 + 9*a + z + 1/22*a**5 - 4/33*a**4. Factor x(u).
-2*u*(u - 2)**2*(u - 1)/11
Suppose 0 = -i + 4*i + 4*a + 20, 25 = -4*i - 5*a. Let z be (16/120 + i)*42*2. Factor -4/5*k**4 + 44/5*k + 12/5 + z*k**2 + 24/5*k**3 - 4/5*k**5.
-4*(k - 3)*(k + 1)**4/5
Factor -3/7 + 37/7*h**2 + 2*h + 20/7*h**3.
(h + 1)**2*(20*h - 3)/7
Let f(o) be the first derivative of o**6/3 + 18*o**5/5 + 29*o**4/2 + 26*o**3 + 18*o**2 + 64. Solve f(h) = 0.
-3, -2, -1, 0
Let t(w) be the second derivative of -w**4/18 + 160*w**3/9 - 6400*w**2/3 - 5*w + 28. Determine y, given that t(y) = 0.
80
Let u = -177 + 187. Suppose 4*h + 0 = x + u, -2*h = 4*x - 14. Solve -6/7 + 2*i - 10/7*i**x + 2/7*i**3 = 0 for i.
1, 3
Let o(s) be the second derivative of -s**6/30 - 10*s**5 - 1250*s**4 - 250000*s**3/3 - 3125000*s**2 - 102*s. Solve o(p) = 0 for p.
-50
Let j = 2 + 3. Find x such that 3*x**3 - x + 7*x**3 + j*x**3 + 4*x**4 - 14*x**3 - 4*x**2 = 0.
-1, -1/4, 0, 1
Determine j, given that 0 + 72/7*j**2 - 10*j - 2/7*j**3 = 0.
0, 1, 35
What is i in 2*i + 2/15*i**2 + 28/15 = 0?
-14, -1
Let m(g) be the second derivative of 1/30*g**4 + 0*g**3 - 1/25*g**5 + 0*g**2 - 9*g + 1/75*g**6 + 0. Factor m(f).
2*f**2*(f - 1)**2/5
Let i = -73 + 76. Let b(d) be the third derivative of 0*d - d**i - 3/8*d**4 - 3*d**2 - 1/20*d**5 + 0. Factor b(s).
-3*(s + 1)*(s + 2)
Let m = -17 + 13. Let y be 43 - (-8 - 16/m). Find s such that -s**4 + 46*s - 1 + 1 - y*s + s**2 + s**3 = 0.
-1, 0, 1
Let s = 68279/11 - 6207. Factor -4/11*x**3 + 0*x**2 + s*x**4 + 2/11*x**5 + 0 + 0*x.
2*x**3*(x - 1)*(x + 2)/11
Suppose -11 = -30*n + 32*n + 3*h, 0 = 5*n + 5*h + 15. Factor -1/3*j**2 + n + 5/3*j.
-(j - 6)*(j + 1)/3
What is c in 11*c**3 - 12*c**3 - 20*c**4 - 2*c**5 - 2*c**5 - 7*c**3 + 32*c**2 = 0?
-4, -2, 0, 1
Let x = 15 - 13. Let n(y) be the first derivative of -2 - x*y**2 - 2/3*y**3 - 2*y. Factor n(s).
-2*(s + 1)**2
Suppose 0 = -26*z + 38 + 14. Factor 10/7*k + 2/7*k**z + 0.
2*k*(k + 5)/7
Let c = 11831 - 130137/11. Solve -2/11*x**5 + c*x**3 + 4/11*x**2 - 2/11*x**4 - 2/11*x - 2/11 = 0 for x.
-1, 1
Let w(t) = -14*t - 95. Let i = 15 - 22. Let g be w(i). Suppose 0 - 1/8*v**4 + 1/8*v**g + 0*v + 1/8*v**2 - 1/8*v**5 = 0. What is v?
-1, 0, 1
Let u(d) be the first derivative of 2*d**3/3 - 13*d**2 + 60*d - 660. Determine w so that u(w) = 0.
3, 10
Suppose 222*p - 227*p = -10. Let h be 26/9 + p + (-34)/17. Factor 8/9 + 8/3*u + h*u**2 + 4/3*u**3 + 2/9*u**4.
2*(u + 1)**2*(u + 2)**2/9
Let r(l) be the first derivative of -l**8/1848 - 2*l**7/1155 - l**6/660 + 6*l**2 + 8. Let z(h) be the second derivative of r(h). Factor z(c).
-2*c**3*(c + 1)**2/11
Suppose -4*h + 3*c = 2*c - 266, -4*h + 5*c = -258. Let o = h - 49. Factor 2/3*s**4 + 18*s**2 + 0 + 6*s**3 + o*s.
2*s*(s + 3)**3/3
Let z(r) be the second derivative of r**5/15 + 2*r**4/3 - 10*r**3/3 - 23*r**2/2 + 25*r. Let j(k) be the first derivative of z(k). Let j(i) = 0. Calculate i.
-5, 1
Find j, given that -1020/7*j**3 - 248/7*j**2 + 0 - 16/7*j - 450/7*j**4 = 0.
-2, -2/15, 0
Let p = -69 + 74. Suppose 0 = p*k + 2*k. Find u such that 1/2*u**3 + 0 - u**2 + k*u = 0.
0, 2
Suppose g + 3*u = 6, -2 = -u - 1. Suppose -a**5 - 4 + g - a**5 - 4*a**2 + 4*a + 5*a**4 - 2*a**3 + 0*a**5 = 0. What is a?
-1, 1/2, 1
Let g(v) be the first derivative of 0*v**2 + 1/70*v**5 + 2/21*v**3 + 5*v - 10 + 1/14*v**4. Let m(z) be the first derivative of g(z). Factor m(r).
2*r*(r + 1)*(r + 2)/7
Let b = -1107/11 - -6653/66. Find x, given that 2/3*x + b*x**3 + 0 - 2/3*x**2 = 0.
0, 2
Let 2/19*v**3 + 24/19 + 28/19*v**2 + 50/19*v = 0. Calculate v.
-12, -1
Let y(h) = -3 + 5 + h - 1. Let l(a) = -100*a + a**3 + 55*a + 0*a**3 + 13 + 53*a. Let o(c) = 2*l(c) - 22*y(c). Factor o(p).
2*(p - 1)**2*(p + 2)
Let k = -96587/7 + 13799. Suppose -2/7*x**4 - k*x**3 + 2/7*x**2 + 6/7*x + 0 = 0. What is x?
-3, -1, 0, 1
Let q(v) be the first derivative of 1/39*v**6 + 10 + 18/65*v**5 + 92/39*v**3 + 18/13*v + 33/13*v**2 + 15/13*v**4. Factor q(o).
2*(o + 1)**3*(o + 3)**2/13
Let n(i) be the second derivative of i**7/126 - 2*i**6/15 + 19*i**5/30 - 13*i**4/9 + 11*i**3/6 - 4*i**2/3 - i + 7. Let n(g) = 0. What is g?
1, 8
Let k(c) = -4*c. Let g be k(-6). Suppose 35 = 5*n - 5*v, -5*n + 4*v = -g - 6. Factor 4*z**5 - 23*z**3 + 21*z**3 - n*z**5.
2*z**3*(z - 1)*(z + 1)
Find n such that 486/7*n + 2/7*n**3 + 1458/7 + 54/7*n**2 = 0.
-9
Let c(n) be the first deri