e of -2/21*j**3 + 3/7*j**f - 4/7*j - 3. Suppose u(z) = 0. What is z?
1, 2
Let d(k) be the first derivative of -k**3/4 + 117*k**2/8 - 381. Factor d(g).
-3*g*(g - 39)/4
Suppose -33*o = 17*o - 300. Let b(v) be the second derivative of -2/21*v**3 - 6*v + 0*v**2 + 1/21*v**4 + 1/35*v**5 - 2/105*v**o + 0. What is f in b(f) = 0?
-1, 0, 1
Let q(z) be the third derivative of -1/180*z**6 + 1/36*z**4 + 1/90*z**5 + 0*z + 0 - 1/9*z**3 + 8*z**2. Factor q(d).
-2*(d - 1)**2*(d + 1)/3
Let y(m) be the third derivative of m**6/72 + 7*m**5/9 + 1105*m**4/72 + 845*m**3/9 + 583*m**2. Find x such that y(x) = 0.
-13, -2
Let q(j) be the second derivative of j**4/12 + j**3/6 - j**2 + 10*j - 2. Suppose q(o) = 0. Calculate o.
-2, 1
Let d(g) = 8*g**2 - 3*g + 2. Suppose 5*n + 25 = 0, -3 = 2*x + 5*n + 26. Let f(c) = -c**2. Let y(j) = x*d(j) - 14*f(j). What is o in y(o) = 0?
1, 2
Let v be 183/9 + (12/42)/(1/(-7)). Determine c so that 10 + 20/3*c**2 - 5/3*c**3 + v*c = 0.
-1, 6
Let o be (105/(-14) - -8)*(-5 + 5). Let j(z) be the first derivative of 3/8*z**4 - z**2 + o*z + 1/10*z**5 + 0*z**3 - 9. Factor j(p).
p*(p - 1)*(p + 2)**2/2
Suppose -2*i + 3*i = 0. Suppose -28*c = 17*c + c. Factor 1/4*n**4 + 0 + c*n**2 + 1/4*n**3 + i*n.
n**3*(n + 1)/4
Let l(b) = b**2 + 1. Let h(j) be the third derivative of j**6/20 - 2*j**5/5 + j**4/12 + 4*j**3/3 - 27*j**2. Let k(m) = -h(m) - 4*l(m). Factor k(o).
-2*(o - 3)*(o - 1)*(3*o + 2)
Let y(w) be the second derivative of -3*w**5/10 + 34*w**4/3 + 25*w**3/3 - 46*w**2 - 288*w. Factor y(c).
-2*(c - 23)*(c + 1)*(3*c - 2)
Let m(x) = -8*x**3 + 37*x**2 - 323*x - 347. Let j(w) = w**3 - 2. Let a(o) = 35*j(o) + 5*m(o). Factor a(n).
-5*(n - 19)**2*(n + 1)
Let s(k) be the third derivative of 5/12*k**4 - 3/2*k**6 - 5*k**2 + 0*k**3 + 1/12*k**5 + 0 + 0*k. Factor s(i).
-5*i*(4*i - 1)*(9*i + 2)
Let s be (-351)/1755*((-6)/1)/((-1)/(-1)). Determine c so that 2/5 + s*c + 6/5*c**2 + 2/5*c**3 = 0.
-1
Let y be 583/355 + 5 + -4 + -2. Let u = y - 3/71. Factor -1/5*x**2 - u*x - 2/5.
-(x + 1)*(x + 2)/5
Let 40 + 5*r**3 + 27*r - 10*r**2 + 24*r - 71*r = 0. What is r?
-2, 2
Let n(k) be the third derivative of 0 + 1/3*k**4 + 1/15*k**5 + 0*k - 3*k**2 + 2/3*k**3. Factor n(v).
4*(v + 1)**2
Let w(i) be the second derivative of i**8/1680 + i**7/630 - i**6/36 + i**5/10 - 7*i**4/6 + 5*i. Let s(g) be the third derivative of w(g). Factor s(r).
4*(r - 1)**2*(r + 3)
Let i = 4513/8 + -564. Let u(t) be the first derivative of 0*t - 1 + 1/8*t**4 - 1/4*t**3 + i*t**2. Solve u(a) = 0 for a.
0, 1/2, 1
Let l(f) be the second derivative of 1/66*f**4 - 2/33*f**7 + 0 + 2/33*f**3 - 31/165*f**6 + 0*f**2 - 2*f - 9/55*f**5. Determine u so that l(u) = 0.
-1, -1/2, 0, 2/7
Let k(s) be the second derivative of -5/6*s**3 - 5/12*s**4 - s - 2 + 0*s**2. Find w such that k(w) = 0.
-1, 0
Let i(h) = 2*h**2 + 9*h + 1. Let d be i(-5). Suppose -10 = -r - d. Suppose -w**r + 122*w**5 - w**4 - 129*w**5 = 0. What is w?
-2/7, 0
Suppose -62/9*k**2 - 44/3*k + 2/9*k**3 + 0 = 0. Calculate k.
-2, 0, 33
Let g(d) = -2*d**2 - 16. Let n(y) = -5*y**2 - 48. Let c(q) = 8*g(q) - 3*n(q). Solve c(p) = 0 for p.
-4, 4
Let l be (0 + 2/6)/((-12)/(-468)). Let b = l - 21/2. Determine z so that 5/2*z**5 + z**4 + 1 + b*z - 5*z**3 - 2*z**2 = 0.
-1, -2/5, 1
Let a(g) be the second derivative of -g**7/441 + 19*g**6/315 - 17*g**5/210 - 19*g**4/126 + 2*g**3/7 - 72*g. Suppose a(i) = 0. What is i?
-1, 0, 1, 18
Let f(h) be the second derivative of -h**5/90 - 10*h**4/27 + h**3/27 + 20*h**2/9 + 45*h. Solve f(s) = 0 for s.
-20, -1, 1
Let m(z) be the second derivative of -4*z**6/105 + 2*z**5/35 + 11*z**4/42 - 2*z**3/7 - 2*z - 5. Solve m(x) = 0.
-3/2, 0, 1/2, 2
Let w(v) = v**3 + 652*v + 2*v**3 + 21 - 634*v. Suppose 6 + 4 = -2*s. Let i(l) = -2*l**3 - 9*l - 11. Let x(f) = s*w(f) - 9*i(f). Let x(m) = 0. What is m?
-1, 2
Let u be -1 + 5/(5/3). Suppose 2 = u*a - 2. What is l in 0*l**2 + 2*l**2 - 3*l + 6 - 5*l**a = 0?
-2, 1
Factor -3*u**4 - 30003*u**2 + 29999*u**2 + u**3 - 2*u**3 + 9*u**3.
-u**2*(u - 2)*(3*u - 2)
Suppose -10*k = -981 + 111. Solve k*c**2 - 45*c**2 + 8 - 44*c**2 = 0.
-2, 2
Let v(r) be the third derivative of -r**7/3360 - r**6/1440 + 3*r**3/2 + 2*r**2. Let p(d) be the first derivative of v(d). Find y such that p(y) = 0.
-1, 0
Let m = -30908/3 - -10306. Let m - 5*c + 5/3*c**2 = 0. Calculate c.
1, 2
Let w = -4 - -7. Let x be (-2*w)/(-3 - -2). Find n such that 2*n**3 + 4*n - 3*n - n**4 - 5*n**3 + x*n**4 - 2*n**5 - n**2 = 0.
-1/2, 0, 1
Let y(o) be the second derivative of o**9/288 + 9*o**8/1120 + o**7/280 - 17*o**3/6 - 4*o. Let b(k) be the second derivative of y(k). Factor b(h).
3*h**3*(h + 1)*(7*h + 2)/2
Find q such that 455*q + 705/4*q**2 + 5/4*q**4 - 65/2*q**3 + 245 = 0.
-1, 14
Let b(y) be the first derivative of -2/5*y + 8 - 1/15*y**3 + 3/10*y**2. Factor b(f).
-(f - 2)*(f - 1)/5
Let d(s) = 23*s**3 + 140*s**2 - 162*s + 67. Let r(t) = 4*t**3 + 24*t**2 - 27*t + 11. Let u(g) = 6*d(g) - 34*r(g). Factor u(v).
2*(v - 1)**2*(v + 14)
Suppose 25/4 + 5*j - 25/4*j**2 - 5*j**3 = 0. What is j?
-5/4, -1, 1
Let -11*p**2 + 76 + 22*p + 24*p**2 + 45 - 12*p**2 = 0. What is p?
-11
Let u(t) be the second derivative of 3 - 16/5*t**2 - 4/5*t**3 + 0*t**4 - 4*t + 1/50*t**5. Determine p so that u(p) = 0.
-2, 4
Let n = -117 - -117. Let d(m) be the first derivative of 0*m**2 + n*m + 3 + 4/3*m**3 + 1/2*m**4. Let d(q) = 0. What is q?
-2, 0
Factor 7*p**2 + 4/7 + 4*p.
(7*p + 2)**2/7
Let l(h) be the first derivative of -12 - 14/5*h**2 - 17/5*h**3 - 7/20*h**4 + 4/5*h**5 - 4/5*h. Find p, given that l(p) = 0.
-1, -2/5, -1/4, 2
Let m be ((-6)/9)/((-6)/234). Find d such that -6 - 18*d - 6*d**3 - m*d**2 + 9*d + 4*d - 21*d = 0.
-3, -1, -1/3
Suppose 5*h = -0*h + 10. Suppose h*o = -0 + 6. Determine q, given that 4*q**3 - 2*q**4 - q + 6*q**4 + q**3 + 3*q**5 - 4*q**2 - 7*q**o = 0.
-1, -1/3, 0, 1
Factor -234*n + 122*n + 44 + 128*n + 0*n**3 - 4*n**3 + 20 - 16*n**2.
-4*(n - 2)*(n + 2)*(n + 4)
What is k in 2/3*k + 0 - 1/9*k**2 = 0?
0, 6
Let g(d) be the third derivative of -d**5/30 + 6*d**4 - 432*d**3 + 9*d**2. Factor g(u).
-2*(u - 36)**2
Let g(m) be the first derivative of -4/7*m**3 + 10/7*m**2 - 1/7*m**4 - 4 - 8/7*m + 4/35*m**5. Let g(n) = 0. Calculate n.
-2, 1
Let c be (38/(-57))/(0 + (-2)/12). Factor 0*y - 4/3*y**3 + c*y**2 - 16/3.
-4*(y - 2)**2*(y + 1)/3
Let z = -11 + 22. Let w(g) = 20*g**2 + z*g - 24*g - 11*g. Let j(m) = 7*m**2 - 8*m. Let v(a) = -8*j(a) + 3*w(a). Factor v(t).
4*t*(t - 2)
Factor 0 + 4/5*m**3 + 72*m - 92/5*m**2.
4*m*(m - 18)*(m - 5)/5
Let c(s) be the first derivative of -3*s**5/20 + 9*s**4/16 - s**3/4 - 9*s**2/8 + 3*s/2 + 137. Find i such that c(i) = 0.
-1, 1, 2
Let v = -71/20 - 236/5. Let k = 51 + v. Determine d so that k*d**3 + 0*d**2 + 0*d + 1/2*d**4 + 0 + 1/4*d**5 = 0.
-1, 0
Let u(i) = 98*i**2 + 56*i + 18. Let o(c) = -1. Let q(f) = -10*o(f) - u(f). Let q(s) = 0. Calculate s.
-2/7
What is m in -9*m + 9*m**4 + 8*m**2 + 27*m**2 + 21*m**3 - 56*m**2 = 0?
-3, -1/3, 0, 1
Let c(v) be the first derivative of -1/9*v**2 + 1/18*v**4 - 2/45*v**5 + 12 + 0*v + 2/27*v**3. Factor c(z).
-2*z*(z - 1)**2*(z + 1)/9
Let w = 71/24 + -13/8. What is g in 0*g - w*g**4 - 1/3*g**2 + 5/3*g**3 + 0 = 0?
0, 1/4, 1
Let m be 6*(-19)/(-418)*22. Factor 8/3*y - 40/3*y**2 + m*y**3 + 0.
2*y*(y - 2)*(9*y - 2)/3
Let r(g) = -13*g**5 + 46*g**4 + 100*g**3 - 91*g**2 - 54*g + 3. Let l(c) = -c**5 - c**2 - 2*c + 1. Let a(z) = -6*l(z) + 2*r(z). Find j, given that a(j) = 0.
-2, -2/5, 0, 1, 6
Suppose 0 = -y - 2*w - 3*w + 32, -88 = -5*y - w. Let d = 23 - y. Factor 0*m**2 - d*m**2 + 2*m**3 + m**3 + 3*m**4 + 3*m**2 - 3*m.
3*m*(m - 1)*(m + 1)**2
Let x(v) be the first derivative of 2*v**3/27 + 2*v**2/9 + 2*v/9 + 54. Factor x(h).
2*(h + 1)**2/9
Let n(j) = j**2 - 4*j - 2. Let q be n(-1). Factor 28*f - 3*f**q + 3*f**2 - 12*f - 7*f + 3*f**2.
-3*f*(f - 3)*(f + 1)
Suppose -23*m = -18*m - 25. Find b, given that -b**4 + 4*b**2 + 93*b**5 - 92*b**m - 8*b**3 + 8*b + 2*b**3 = 0.
-2, -1, 0, 2
Factor -4872*x - 30 + x**2 - 4872*x + 9751*x.
(x - 3)*(x + 10)
Let o(y) be the second derivative of -y**7/105 + y**6/15 + 2*y**5/25 - 2*y**4/3 + 1042*y. Suppose o(u) = 0. What is u?
-2, 0, 2, 5
Let m(j) = j**2 - 6*j - 13. Let o be m(8). Suppose 0 = -o*f + 145 - 43. Factor 0*u**3 - 37*u + 3*u**3 + f*u.
3*u*(u - 1)*(u + 1)
Let y(n) be the third derivative