**3/21 - 4*f**2/7 + 8. Suppose z(i) = 0. What is i?
-2, 0, 1, 2
Let p(m) be the second derivative of m**4/4 + m**3 - 4*m. Factor p(x).
3*x*(x + 2)
Let x(q) = 2*q**5 - 6*q**4 - 4*q**3 + 22*q**2 - 24*q + 8. Let y(o) = 2*o**5 - 6*o**4 - 5*o**3 + 22*o**2 - 24*o + 8. Let r(t) = 6*x(t) - 4*y(t). Factor r(l).
4*(l - 2)*(l - 1)**3*(l + 2)
Let l(c) be the second derivative of c**7/399 - 2*c**6/285 + c**5/190 + 8*c. Factor l(k).
2*k**3*(k - 1)**2/19
Let f(z) = -6*z**4 - 16*z**3 + 34*z**2 + 14*z + 10. Let l(c) = 2*c**4 + 5*c**3 - 11*c**2 - 5*c - 3. Let d(s) = 3*f(s) + 10*l(s). Solve d(t) = 0.
-2, -1, 0, 2
Let h be ((-3)/28)/3 + -1. Let i = -3/4 - h. Find v, given that 0 - i*v + 2/7*v**2 = 0.
0, 1
Let x(s) be the third derivative of -s**5/360 + s**4/72 - s**3/36 - 5*s**2. Factor x(j).
-(j - 1)**2/6
Suppose -l - 65*p = -70*p + 23, 2*p - 14 = -2*l. Suppose 1/4 - 3/8*q + 1/8*q**l = 0. Calculate q.
1, 2
Let l = 8 - 14. Let s be ((-16)/l)/((-18)/(-27)). Factor -4*q**2 + 4*q**4 + 2*q**5 - 2*q**3 + 3*q**3 + s*q**3 - 7*q**3.
2*q**2*(q - 1)*(q + 1)*(q + 2)
Suppose 0 = -4*w - 2 + 14. Factor 0*h**w + h**3 + 0*h**3 - 5*h**2 + 4*h**2.
h**2*(h - 1)
Let l(r) = -r**4 - r**3 + 3*r**2 - 3*r + 2. Let s(f) = 5*f**4 + 6*f**3 - 16*f**2 + 16*f - 11. Let q(h) = 33*l(h) + 6*s(h). What is a in q(a) = 0?
-1, 0, 1
Factor -16/5*n**2 + 4/5 - 6/5*n**3 - 6/5*n.
-2*(n + 1)*(n + 2)*(3*n - 1)/5
Let w(k) be the second derivative of k**4 + k**3/2 + 11*k. Factor w(v).
3*v*(4*v + 1)
Let i(h) = h**3 - h**2. Let t(v) = 4*v**5 - 4*v**4. Let k(b) = 4*i(b) - t(b). Factor k(a).
-4*a**2*(a - 1)**2*(a + 1)
Let m(u) = -18*u**4 - 63*u**3 - 53*u**2 - 10*u. Let v(b) = -b**4 - b**3 - b**2. Let l(f) = -m(f) - 2*v(f). Factor l(n).
5*n*(n + 1)*(n + 2)*(4*n + 1)
Let x(f) be the second derivative of f**5/42 + f**4/12 + 2*f**3/21 - f**2 - 5*f. Let v(s) be the first derivative of x(s). What is k in v(k) = 0?
-1, -2/5
Solve 0*t + 0*t**3 + 1/2*t**4 + 1/2 - t**2 = 0.
-1, 1
Let d(s) be the second derivative of 3*s + 0*s**5 + 0 + 0*s**3 + 1/20*s**6 - 1/4*s**4 + 3/4*s**2. Let d(o) = 0. Calculate o.
-1, 1
Let n be (0 - 5) + 0/(-3). Let j be ((-12)/n)/((-12)/(-30)). Factor -q**2 + 2*q**4 - q**3 + j*q**3 - 3*q**3 - q**2 - 2*q.
2*q*(q - 1)*(q + 1)**2
Let f(t) be the first derivative of t**6/16 - 3*t**5/40 - 8. Factor f(h).
3*h**4*(h - 1)/8
Let f(z) be the second derivative of -z**5/100 - z**4/30 + z**3/30 + z**2/5 + 7*z. Factor f(d).
-(d - 1)*(d + 1)*(d + 2)/5
Suppose y - 1 = -3. Let t(s) = -3*s**4 - 2*s**3 - s**2 + 2. Let u(h) = 7*h**4 + 5*h**3 + 3*h**2 - 5. Let a(p) = y*u(p) - 5*t(p). Factor a(b).
b**2*(b - 1)*(b + 1)
Let g(p) = -p**3 - 3*p**2 + 5*p + 7. Let h be g(-4). Factor 30*q**2 + 125*q**4 - 4*q + 1/5 - 100*q**h.
(5*q - 1)**4/5
Let k(w) = 3*w**2 - 9*w - 3. Let q(b) = -6*b**2 + 17*b + 5. Let o(s) = -5*k(s) - 3*q(s). Let o(p) = 0. Calculate p.
0, 2
Factor 0*g + 2/3*g**2 + 1/3*g**4 + 0 - g**3.
g**2*(g - 2)*(g - 1)/3
Suppose 3*z + 0*z - 24 = -3*y, -5*z - 3*y = -30. Solve -i**z - i**3 + 0*i**4 + 2*i**4 = 0 for i.
0, 1
Let q(w) be the second derivative of 1/3*w**3 - 1/15*w**6 + 0 + 0*w**2 - 1/2*w**4 + 3/10*w**5 + 2*w. Factor q(m).
-2*m*(m - 1)**3
Let 3/4*o**3 - 1/2*o**4 + 1/4 + 1/4*o**2 - 3/4*o = 0. What is o?
-1, 1/2, 1
Let h(l) be the second derivative of -l**6/120 + l**5/40 - 7*l**3/6 - 3*l. Let a(p) be the second derivative of h(p). Factor a(w).
-3*w*(w - 1)
Let b(k) be the third derivative of k**11/249480 + k**10/75600 - k**8/30240 - k**5/60 - 2*k**2. Let w(o) be the third derivative of b(o). Factor w(v).
2*v**2*(v + 1)**2*(2*v - 1)/3
Let f be (-4 + 1)*(-2)/3. Suppose 2*g = -3*v - 2 - 2, f*v + 2*g = -6. Let 0*j + 1/4 - 1/4*j**v = 0. Calculate j.
-1, 1
Let t(x) be the third derivative of x**5/36 - 5*x**4/36 + 32*x**2. Factor t(r).
5*r*(r - 2)/3
Factor -1/3*g**2 - g**3 + 2/3*g**4 + g - 1/3.
(g - 1)**2*(g + 1)*(2*g - 1)/3
Find z such that -24*z**4 + 25*z**3 + 0*z**2 + 19*z**4 + 20*z - 40*z**2 = 0.
0, 1, 2
Let j(i) be the second derivative of i**7/1260 - i**6/60 + 3*i**5/20 + i**4/12 + 3*i. Let t(r) be the third derivative of j(r). Factor t(w).
2*(w - 3)**2
Suppose -5*b + 20 = -b, -3*s + 17 = b. Factor -g + 11*g**2 + 16*g**3 + 9*g**2 + 9*g + s*g**4.
4*g*(g + 1)**2*(g + 2)
Suppose -w - 1 = r - 2, w + 2*r = 2. Let y = 41 - 39. Determine l, given that -2/3*l**4 - 4/3*l**3 + w*l**y + 2/3 + 4/3*l = 0.
-1, 1
Let i(k) be the third derivative of -3/8*k**4 - 3/112*k**8 + 5*k**2 - 1/35*k**7 + 0 + 0*k - k**3 + 3/20*k**6 + 1/5*k**5. Let i(l) = 0. Calculate l.
-1, -2/3, 1
Let r(w) be the second derivative of -w**6/135 - w**5/45 + w**4/54 + 2*w**3/27 - 31*w. Factor r(g).
-2*g*(g - 1)*(g + 1)*(g + 2)/9
Determine m, given that 1/6*m**2 + 0 + 0*m = 0.
0
Suppose -4*v + 22 = -0*v + 2*g, -2*v + 5 = -g. Factor 0*m - 6/5*m**v - 16/5*m**3 - 12/5*m**2 + 2/5.
-2*(m + 1)**3*(3*m - 1)/5
Suppose -3*r - 13 = -a, 6*r = -2*a + 3*r - 1. Factor -2*c**3 - c**5 - c + 4*c**3 + 2*c**a - 2*c**4.
-c*(c - 1)**2*(c + 1)**2
Let a = 31 + -27. Suppose -4*l + 5*m = 15, a*l = -l - 2*m + 6. Factor -2/3*n**2 + 0*n + 0*n**3 + 2/3*n**4 + l.
2*n**2*(n - 1)*(n + 1)/3
Let s be (22/8)/((-1)/52). Let y = s + 1289/9. Factor 4/3*v**3 + 8/9*v**4 + 8/9*v**2 + y*v + 0 + 2/9*v**5.
2*v*(v + 1)**4/9
Suppose j + 5*l = -0*l - 25, 10 = -4*j - 2*l. Suppose -2*v + 3 + 3 = j. Let -2 + 0*g**2 + 9*g + 6*g**v - 2*g**2 - g**2 - 10*g**3 = 0. Calculate g.
-2, 1/4, 1
Factor -1 - 5/3*l**2 + 7/3*l + 1/3*l**3.
(l - 3)*(l - 1)**2/3
Let k = 284 + -284. Factor 0*o + k + 2/13*o**3 - 2/13*o**2 - 2/13*o**5 + 2/13*o**4.
-2*o**2*(o - 1)**2*(o + 1)/13
Solve 9/4 - 3/2*y + 1/4*y**2 = 0 for y.
3
Let f(y) be the second derivative of 2*y**7/21 + 24*y. Factor f(g).
4*g**5
Factor -2/3 - 1/6*p**2 - 5/6*p.
-(p + 1)*(p + 4)/6
Let r(j) = -3*j + 1. Let k be r(-1). Let v = 8 - k. Factor -2*d**2 + 2*d - 3*d + d**2 + d**v + d**3.
d*(d - 1)*(d + 1)**2
Let i(y) be the second derivative of y**7/63 - y**6/45 - y**5/6 + y**4/18 + 8*y**3/9 + 4*y**2/3 + 7*y. Find l, given that i(l) = 0.
-1, 2
Let o(t) be the first derivative of t**6/45 - 2*t**5/75 - t**4/6 + 2*t**3/45 + 8*t**2/15 + 8*t/15 + 7. Suppose o(r) = 0. What is r?
-1, 2
Let h = -11 + 14. Let w be (-14)/(-6) + (1 - h). Solve 1/3*j**2 + 0*j - w = 0.
-1, 1
Let k(s) be the third derivative of -s**6/80 - s**5/20 + s**4/16 + s**3/2 - 10*s**2. Determine c so that k(c) = 0.
-2, -1, 1
Solve -691*t + 339*t - 5*t**2 + 35 + 322*t = 0.
-7, 1
Let w(z) be the first derivative of -2*z**3/3 - 3*z**2 - 5. Let w(g) = 0. What is g?
-3, 0
Let n = 9 - 7. Suppose n*k + 8 = 4*k. Factor 0 + 0*f - 1/4*f**k - 1/4*f**2 + 1/2*f**3.
-f**2*(f - 1)**2/4
Let o(f) = -f - 6. Let c be o(-8). Let r be c/8 - 90/(-24). Suppose r*n - 2 - 2*n**2 + 2 = 0. What is n?
0, 2
Let w = 31/7 - -1/14. Factor -3/2*r**4 - w*r**2 - 3/2*r + 0 - 9/2*r**3.
-3*r*(r + 1)**3/2
Suppose 1759*x - 1764*x = 0. Find c such that 121/2*c**5 + 37/2*c**3 + 2*c + x - 99*c**4 + 18*c**2 = 0.
-2/11, 0, 1
Solve -2/5*l**3 + 0*l**2 + 0*l + 0 - 2/5*l**4 = 0.
-1, 0
Let y be (-2)/4 + (-18)/(-4). Let s(i) be the first derivative of 4 - 1/5*i**2 - 2/15*i**3 + 1/10*i**y + 2/5*i. What is v in s(v) = 0?
-1, 1
What is t in 8/5 - 4/5*t**3 - 8/5*t**2 + 4/5*t = 0?
-2, -1, 1
Let q(u) be the second derivative of u**9/34020 + u**8/30240 + u**4/6 + 2*u. Let v(f) be the third derivative of q(f). Factor v(b).
2*b**3*(2*b + 1)/9
Let p(v) = -6*v**4 + 4*v**3 - 5*v**2 - 5*v. Let f = -2 - 3. Let b(n) = 7*n**4 - 5*n**3 + 6*n**2 + 6*n. Let x(u) = f*b(u) - 6*p(u). Find k such that x(k) = 0.
-1, 0
Let -3*x**3 - 7 + 3*x + 3 - x**2 + 6 - x**4 = 0. What is x?
-2, -1, 1
Let z = 6 - -1. Let o = z + -5. Factor -4*l**2 + 5*l**2 - 2*l + 0*l**o.
l*(l - 2)
Suppose 0 = 5*u - 15. Suppose -5*l + 3*g + 3 = 0, -g = -u*l - 1 + 2. Suppose 0 + l*z + 1/3*z**2 = 0. What is z?
0
Let f = -21 + 15. Let r be 17 - -1*f/3. Determine q, given that -r*q**5 - 39*q**3 - 14*q**4 - 15*q**2 - 27*q**4 + 0*q**2 - 2*q = 0.
-1, -2/5, -1/3, 0
Let j(q) = -q**2 + q + 1. Let x(u) = 3*u**2 - 3*u - 2. Let a(o) = -2*j(o) - x(o). Suppose a(s) = 0. What is s?
0, 1
Let a = 11681/5 - 2329. Suppose 3*h**2 - 27/5*h**4 + 12/5 + 36/5*h**3 - a*h = 0. What is h?
-1, 2/3, 1
Let u(b) be the third derivative of -3/10*b**5 + 1/2*b**4 + 0 + 1/15*b**6 + b**2 + 0*b - 1/3*b**3. Factor u(y).
2*(y - 1)**2*(4*y - 1)
Let x be 1*(-5