 5*v - 1. Suppose -4 = 2*z + 2. Let t(o) = z*l(o) - j(o). Find r, given that t(r) = 0.
-1, 2/5, 1
Let z(c) be the first derivative of -c**3/5 + 3*c/5 - 2. Factor z(g).
-3*(g - 1)*(g + 1)/5
Let t(q) be the second derivative of -q**5/30 - 3*q. Determine o so that t(o) = 0.
0
Let f(p) = -p**2 - 7*p - 2. Let s be f(-6). Suppose -s*d - z = -6, -3*d = 4*z + 2 - 0. Suppose r**3 - 3*r**d + 3*r**2 - r = 0. What is r?
-1, 0, 1
Find l, given that -5 - 16*l + 7 - 4*l**2 + 14 + 4*l**3 = 0.
-2, 1, 2
Let b(j) be the second derivative of j**6/180 - j**5/30 - j**4/4 + 7*j**3/6 + 5*j. Let c(r) be the second derivative of b(r). Factor c(s).
2*(s - 3)*(s + 1)
Let w = -2 + 5. Factor 4*t + 3 + t**2 - 2 + w + 0*t**2.
(t + 2)**2
Suppose -m + w - 5*w + 5 = 0, 3*m = -3*w + 33. Let y(q) = -5*q**3 + 5*q**2. Let j(v) = -11*v**3 + 11*v**2. Let b(x) = m*y(x) - 6*j(x). Factor b(n).
n**2*(n - 1)
Let b(o) be the third derivative of 5*o**8/1512 - o**7/315 - 7*o**6/540 + o**5/90 + o**4/54 + 9*o**2. Suppose b(w) = 0. What is w?
-1, -2/5, 0, 1
Let a(l) be the first derivative of 9*l**5 - 75*l**4/4 + 5*l**3/3 + 35*l**2/2 - 10*l - 6. Solve a(p) = 0.
-2/3, 1/3, 1
Suppose 2 = 3*d - 4. Factor 0*w**2 + 4*w**2 - d*w**2 - 2.
2*(w - 1)*(w + 1)
Let y(b) be the first derivative of -5*b**6/2 + 39*b**5/5 - 91*b**4/12 + 7*b**3/9 + 8*b**2/3 - 4*b/3 + 57. Let y(j) = 0. Calculate j.
-2/5, 1/3, 2/3, 1
Factor 0*y**3 + 1/3*y**5 + 0*y**2 + 0*y**4 + 0*y + 0.
y**5/3
Let l(w) be the first derivative of w**2/2 - 2. Let t(f) = -2*f**2 + 2*f + 2. Let m(i) = -2*l(i) + t(i). Factor m(q).
-2*(q - 1)*(q + 1)
Let f(y) be the first derivative of 6*y - 9/2*y**2 + y**3 - 2. What is j in f(j) = 0?
1, 2
Let f(k) be the first derivative of -k**6/120 - k**5/80 + k**4/16 + 5*k**3/24 + k**2/4 + k + 2. Let h(i) be the first derivative of f(i). Factor h(b).
-(b - 2)*(b + 1)**3/4
Let i(f) be the first derivative of 7*f**5/60 + f**4/12 - 2*f**2 - 5. Let p(h) be the second derivative of i(h). Factor p(l).
l*(7*l + 2)
Let m be (-2)/7 + (-138)/(-42). Factor m*d**3 - 6*d**2 + 3*d**4 + 8 - 8.
3*d**2*(d - 1)*(d + 2)
Let k(c) = 3*c - 3*c + 0*c**2 + 2*c**3 - c**2. Let r be k(1). Factor r - 13/2*b + 27/2*b**2 + 7/2*b**4 - 23/2*b**3.
(b - 1)**3*(7*b - 2)/2
Factor 105 - 105 + 20*s + 5*s**4 - 20*s**2 - 5*s**3.
5*s*(s - 2)*(s - 1)*(s + 2)
Let k be (3*8/12 - 2)/2. Factor -1/5*a + 1/5*a**2 + k.
a*(a - 1)/5
Find k such that 4*k**3 - 2*k**2 - 2*k**3 - 5*k**3 - k**4 = 0.
-2, -1, 0
Let i(n) be the third derivative of -n**5/90 + n**4/9 + 4*n**3/3 + 3*n**2 + 4*n. Find o, given that i(o) = 0.
-2, 6
Let o(m) be the second derivative of -m**4/4 - 2*m**3 - 6*m**2 + 2*m. Find k such that o(k) = 0.
-2
Let c(w) be the first derivative of w**3/3 + 9*w**2/4 - 11*w/2 + 20. Solve c(n) = 0 for n.
-11/2, 1
Let x(g) be the third derivative of 0*g - 5/8*g**4 + g**3 - 1/40*g**6 - 3*g**2 + 1/5*g**5 + 0. Find b, given that x(b) = 0.
1, 2
Let v(b) be the third derivative of -b**5/60 + b**4/24 - 2*b**2. Let l(q) = -5*q**2 + 4*q. Let j(n) = -l(n) + 4*v(n). Factor j(o).
o**2
Let m(z) be the second derivative of z**5/5 - z**4 - 9*z. Suppose m(s) = 0. Calculate s.
0, 3
Let w(a) be the first derivative of -4*a**5/5 + a**4 + 4*a**3 - 10*a**2 + 8*a - 41. Solve w(i) = 0.
-2, 1
Let x(s) = s**2 + 6*s - 10. Let h be x(-8). Factor 14*z**2 - h*z**2 + 39*z**3 + 5*z**3.
4*z**2*(11*z + 2)
Let a(j) = j + 7. Let o be a(-6). Suppose -3*k = -o - 8. Factor 0 + 0*s - 1/2*s**2 - 1/2*s**k.
-s**2*(s + 1)/2
Let m be 2/12 - (-51)/18. Factor 2*f**5 - 4*f**4 + 16 + 4*f**2 - 2*f**m - 16.
2*f**2*(f - 2)*(f - 1)*(f + 1)
Factor -1/3 + 1/3*y**2 + 1/6*y**3 - 1/6*y.
(y - 1)*(y + 1)*(y + 2)/6
Let v(l) be the first derivative of 2*l**3/9 - 8*l**2/3 - 27. Suppose v(z) = 0. What is z?
0, 8
Suppose 0 = 5*p - 7 + 2. Let u = p + 1. Factor 1/3 - 1/3*o**u + 1/3*o - 1/3*o**3.
-(o - 1)*(o + 1)**2/3
Let o(v) be the first derivative of v**4/16 - v**3/4 + v + 7. Factor o(l).
(l - 2)**2*(l + 1)/4
Suppose 0 = -6*x + 2*x + 4*l - 12, -5*l + 15 = -x. Suppose -c - 5*b = -14, x = -5*c - 0*b - b + 22. Factor 4*z**3 - 2/5 + 12/5*z - 6/5*z**c - 24/5*z**2.
-2*(z - 1)**3*(3*z - 1)/5
Let n(h) = -h**3 - 8*h**2 - h - 6. Suppose -5*y = 5, 3*y - 10 = 5*d + 27. Let q be n(d). Solve -2*p + 6*p - 6*p**q + 2*p**3 + 0*p = 0 for p.
0, 1, 2
Let o = -71/2 - -32. Let j = 15/4 + o. Factor -1/4*t**2 + j*t + 0.
-t*(t - 1)/4
Let i = 93 + -1109/12. Let h = i - 1/12. Find k, given that k**2 + h - 1/4*k**3 - 5/4*k = 0.
1, 2
Let j be 9/6 + 0 - (-1 + 2). Solve j*d + 0 - d**4 + d**2 - 1/2*d**5 + 0*d**3 = 0.
-1, 0, 1
Let o(b) be the third derivative of -b**8/50400 + b**6/1800 - b**5/30 + 2*b**2. Let u(m) be the third derivative of o(m). Factor u(y).
-2*(y - 1)*(y + 1)/5
Suppose -14*n = -2*n - 24. Factor 8/7 + 14*s**n - 8*s.
2*(7*s - 2)**2/7
What is g in 0 + 0*g - 1/3*g**3 - 1/3*g**2 = 0?
-1, 0
Let n(k) be the first derivative of -1/16*k**4 - 1/4*k**3 + 0*k**2 + 0*k - 3. Factor n(s).
-s**2*(s + 3)/4
Suppose 10/11*f**5 - 4/11*f + 0 + 14/11*f**2 - 14/11*f**4 - 6/11*f**3 = 0. Calculate f.
-1, 0, 2/5, 1
Let d(h) = -3*h**4 + 18*h**3 - 39*h**2 + 36*h - 16. Let i(f) = -3*f**4 + 18*f**3 - 39*f**2 + 36*f - 15. Let l(y) = -3*d(y) + 4*i(y). Factor l(m).
-3*(m - 2)**2*(m - 1)**2
Let z(x) be the second derivative of 4*x**7/63 + x**6/45 - 4*x**5/15 - x**4/9 + 4*x**3/9 + x**2/3 - x. Find q such that z(q) = 0.
-1, -1/4, 1
Suppose 9*l - 3 + l + 2*l**2 - 12 + 3*l**2 = 0. Calculate l.
-3, 1
Suppose 5*i - 3*k - 35 = 0, 5*i - 9 = 4*i + k. Let t = 7 - i. Factor h - 2*h**2 - t*h + 6*h.
-2*h*(h - 2)
Suppose -8 = -5*t + 12. Factor 0*h - 9/2*h**3 + 0 - 3/4*h**2 - 3*h**5 - 27/4*h**t.
-3*h**2*(h + 1)**2*(4*h + 1)/4
Factor 7*h**2 - h + 0*h - 6*h**3 + 2*h**4 - h - h**2.
2*h*(h - 1)**3
Let u = -547/780 - -28/39. Let s(i) be the third derivative of u*i**4 - 3*i**2 + 1/300*i**6 + 0*i**3 + 0 - 1/75*i**5 + 0*i. Determine b so that s(b) = 0.
0, 1
Suppose -5*n + 12 = 2. Factor -m**3 - 9*m**3 + 2 + n*m**3 - 12*m + 18*m**2.
-2*(m - 1)**2*(4*m - 1)
Let j be 2415/2520 - 6/(-16). Factor -2/3 - 3*o - j*o**2.
-(o + 2)*(4*o + 1)/3
Suppose -1 - 2 = -f. Suppose 4*k = f*k. Find x, given that 2/9*x**3 + 0*x - 2/9*x**5 + k*x**2 + 0 + 0*x**4 = 0.
-1, 0, 1
Let n(k) be the third derivative of 0*k**5 + 0*k**3 + 0 + 0*k + 3*k**2 + 0*k**4 + 1/420*k**6. Suppose n(s) = 0. What is s?
0
Factor 0*j + 4*j**3 + 8*j**2 + 2*j**4 - 4*j - 6 - 2*j**4 - 2*j**4.
-2*(j - 3)*(j - 1)*(j + 1)**2
Let l(k) be the third derivative of k**5/480 + 5*k**4/48 + 25*k**3/12 + 4*k**2. Factor l(f).
(f + 10)**2/8
Determine l, given that -1/2*l**2 - 1/2 + l = 0.
1
Suppose l + 4*l = 10. Suppose -3 = -3*n + l*n. Let -2/9*d**4 - 2/9 + 0*d + 0*d**n + 4/9*d**2 = 0. Calculate d.
-1, 1
Let l = -4 + 4. Suppose 0 = -l*w + 3*w - 6, -2*w + 19 = 5*n. Factor -4*v**5 + 4*v**3 - n*v**3 + 3*v**5.
-v**3*(v - 1)*(v + 1)
Let p be 25/75 + 2 + 13/(-21). Factor -p - 3/7*z**2 + 12/7*z.
-3*(z - 2)**2/7
Let d = 1084 + -69373/64. Let l = d + 107/448. Factor 4/7*j**2 + l*j + 0 + 2/7*j**3.
2*j*(j + 1)**2/7
Let l(w) be the first derivative of -4 - 4/5*w - 1/10*w**4 + 3/5*w**2 + 0*w**3. Factor l(o).
-2*(o - 1)**2*(o + 2)/5
Suppose 4*d - 44 = -4*z, -5*d - z = -5*z - 19. Suppose 0 = -2*b + d + 1. Factor -c**3 + b*c**2 - 2*c**2 - 3*c**2.
-c**2*(c + 1)
Let h = -47/4 - -12. Factor -h*r**2 + 0 - 1/4*r.
-r*(r + 1)/4
Let p be 90/20*4/9. Factor 0*d - 6*d**3 + 0 + 9/4*d**4 + 3*d**p.
3*d**2*(d - 2)*(3*d - 2)/4
Let 7*c + 26*c**3 + 5*c - 52*c**2 - 10*c**3 = 0. What is c?
0, 1/4, 3
Solve 2/11*n**2 + 0 + 24/11*n = 0.
-12, 0
Let t(j) = 5*j**2 - j**2 + j**3 - 5*j**2 - 1 + 2. Let w(x) = 0*x + 5 + 2*x**2 - x**2 + 4*x**3 + 5*x. Let h(q) = 6*t(q) - 2*w(q). Suppose h(i) = 0. Calculate i.
-2, -1
Let u(x) = -3*x**2 - 4*x + 3. Let g(t) = -3*t**2 - 3*t + 3. Let h(i) = -4*g(i) + 3*u(i). Let h(f) = 0. Calculate f.
-1, 1
Let v(x) be the first derivative of 0*x**5 + 0*x**2 + 4 + 0*x + 0*x**4 + 0*x**3 + 1/18*x**6. Factor v(a).
a**5/3
Let q(f) be the second derivative of f**5/90 + f**4/27 - f**3/27 - 2*f**2/9 - 13*f. Solve q(r) = 0.
-2, -1, 1
Let r(o) be the first derivative of -o**3/6 + 3*o**2/4 + 2*o + 23. Suppose r(g) = 0. Calculate g.
-1, 4
Let i(b) = -20*b**2 - 16*b - 22. Let k(v) = v**2 + 1. Let z(c) = -2*i(c) - 44*k(c). Factor z(h).
-4*h*(h - 8)
Let k = -272 + 1366/5. Let -4/5 - 2*y + 2