*f**3 + 49/2*f**5 + 20*f - w - 175/2*f**4 - 145/2*f**2 = 0?
2/7, 1
Let g = 3 - 1. Suppose -g = i - 5. What is o in -4*o - 2*o - o**i + 1 + 7*o - o**2 = 0?
-1, 1
Let w(y) = -2*y**3 - 9*y**2 + 3*y - 5. Let f(n) = -n**3 - 5*n**2 + 2*n - 3. Let s(z) = 5*f(z) - 3*w(z). Suppose s(u) = 0. Calculate u.
-1, 0
Let v(k) be the second derivative of -81*k**5/10 + 9*k**4 - 4*k**3 + 8*k**2/9 + 10*k. Let v(q) = 0. What is q?
2/9
Let f = -11 - -15. Let i(s) be the second derivative of 2*s + 0*s**3 + 0 - 1/10*s**5 + 1/6*s**f + 0*s**2. Solve i(k) = 0.
0, 1
Let k(j) be the first derivative of j**6/42 - j**5/7 + j**4/4 - j**3/7 + 43. Factor k(o).
o**2*(o - 3)*(o - 1)**2/7
Let y(n) be the second derivative of n**7/21 - 2*n**6/5 + 11*n**5/10 - n**4/3 - 4*n**3 + 8*n**2 + 3*n. What is f in y(f) = 0?
-1, 1, 2
Let f(v) be the third derivative of v**5/60 - v**3/6 - 9*v**2. Factor f(m).
(m - 1)*(m + 1)
Let z be (-2)/10 - (-88)/40. Let r(s) be the first derivative of 2*s**2 - 2*s**4 + 8/5*s**5 - 2*s**3 + z*s + 3. Factor r(v).
2*(v - 1)**2*(2*v + 1)**2
Let r(j) = 5*j**2 - 8*j - 13. Let x(f) = -10*f**2 + 15*f + 25. Let m(i) = 5*r(i) + 2*x(i). Factor m(y).
5*(y - 3)*(y + 1)
Let n(g) be the first derivative of 0*g + 1/3*g**2 - 4 + 2/9*g**3. Factor n(v).
2*v*(v + 1)/3
Let i(j) be the first derivative of j**6/120 - j**5/40 + j**3/12 - j**2/8 + 2*j + 1. Let k(t) be the first derivative of i(t). Factor k(v).
(v - 1)**3*(v + 1)/4
Factor -2/3*c**2 - 2*c - 4/3.
-2*(c + 1)*(c + 2)/3
Let f(h) be the third derivative of h**6/40 + h**5/6 + h**4/24 - h**3 - 4*h**2. Factor f(n).
(n + 1)*(n + 3)*(3*n - 2)
Let l(o) be the third derivative of -o**7/1155 + o**5/110 - o**4/66 + 10*o**2. Factor l(h).
-2*h*(h - 1)**2*(h + 2)/11
Let k(d) be the third derivative of 0*d**3 + 3/80*d**6 + 0 + 0*d + 3/40*d**5 + 1/140*d**7 + 1/16*d**4 - 8*d**2. Find v such that k(v) = 0.
-1, 0
Let y(s) = -s**2 - 3*s + 6. Let n be y(-4). Suppose 0 = -2*b - n*b + 3*u, 0 = 2*b + u. What is m in 2/5*m**2 - 2/5*m**4 + 0*m**3 + 0 + b*m = 0?
-1, 0, 1
Let u(k) = k**2 + 2*k + 1. Let j be u(-3). Solve 0*x + 0 - x**j + 4/3*x**2 + 4/3*x**3 = 0 for x.
-2/3, 0, 2
Let u(l) be the third derivative of -l**8/2184 - l**7/273 - l**6/260 + 3*l**5/130 - 7*l**2. Factor u(v).
-2*v**2*(v - 1)*(v + 3)**2/13
Solve 64/3 - 2/3*k**5 + 4/3*k**4 + 16/3*k**3 - 32/3*k - 32/3*k**2 = 0 for k.
-2, 2
Let t be (4/(-42))/(-10 + (-595)/(-60)). Factor 24/7*b**3 + 0 - t*b**4 + 4/7*b - 18/7*b**2.
-2*b*(b - 2)*(2*b - 1)**2/7
Suppose -2 = 2*r + 5*p - 0, 3*p + 14 = 2*r. Let 2*a**5 + a**4 + a**4 - 6*a**r + a**3 + a**3 = 0. Calculate a.
0, 1
Let a(d) be the first derivative of -d**4/12 + d**3/3 - 4*d/3 - 8. Factor a(o).
-(o - 2)**2*(o + 1)/3
Let a(s) be the second derivative of -s**4/6 + s**2 - 7*s. Factor a(m).
-2*(m - 1)*(m + 1)
Suppose 0*s + 0 - 8/9*s**2 + 2/3*s**5 + 10/9*s**4 - 8/9*s**3 = 0. What is s?
-2, -2/3, 0, 1
Let q be (-2 + 0)/((-39)/5512). Let u = q + -280. Factor 16/3*i + 2*i**3 + 22/3*i**2 - u.
2*(i + 2)**2*(3*i - 1)/3
Let d(a) = -4*a**5 + 8*a**4 - 4*a**3 + 2*a**2 - 7*a - 5. Let s(z) = 3*z**5 - 7*z**4 + 3*z**3 - z**2 + 6*z + 4. Let m(h) = 4*d(h) + 5*s(h). Factor m(u).
-u*(u - 1)*(u + 1)**2*(u + 2)
Let w = 3 - 1. Let k be 1 + w + (-1 - -1). Factor 0*u**5 + 2*u**5 - 2*u**3 + u**k + u**4.
u**3*(u + 1)*(2*u - 1)
Let t be 6/(-33) + (-4)/(-22). Suppose 4*j - s - 3*s = -12, t = 4*j + 3*s - 23. Let 0*d - 2*d**4 + j*d + 3*d**2 + d**4 = 0. Calculate d.
-1, 0, 2
Let s(r) be the third derivative of -r**7/1575 + r**5/75 + 2*r**4/45 + r**3/15 - 22*r**2. What is i in s(i) = 0?
-1, 3
Factor 0 + 2*w**2 - 1/3*w**3 - 5/3*w.
-w*(w - 5)*(w - 1)/3
Let c(f) be the third derivative of f**9/241920 + f**8/26880 + f**7/6720 + f**6/2880 + f**5/20 - 3*f**2. Let d(b) be the third derivative of c(b). Factor d(h).
(h + 1)**3/4
Let p(l) = l**2 + l. Let w be p(-2). Let i(k) be the second derivative of 1/6*k**4 - w*k + 0*k**2 + 1/10*k**5 + 0 + 0*k**3. Suppose i(g) = 0. What is g?
-1, 0
Let s(d) = -d**3 - 8. Let w(r) = 3. Let g(z) = -3*s(z) - 8*w(z). Solve g(b) = 0 for b.
0
Let l(v) be the first derivative of 0*v**2 + 1/2*v**4 + 2/3*v**3 - 4 + 0*v + 1/10*v**5. Factor l(i).
i**2*(i + 2)**2/2
Suppose 7*b = 4*b - 4*o, 0 = 3*b + 2*o - 6. Suppose 0*u + 0 + 2/13*u**2 + 6/13*u**b + 18/13*u**5 - 10/13*u**3 = 0. What is u?
-1, 0, 1/3
Let z(p) = p**3 + 4*p**2 + 5*p + 4. Let b be z(-3). Let v = b - -4. What is t in -v*t + 3*t**2 - 5 + 4 - 4*t**2 = 0?
-1
Let d = 79/1503 + 1/334. Let l(p) be the first derivative of 1 + 0*p + 2/9*p**2 - 2/9*p**3 + d*p**4. Solve l(m) = 0.
0, 1, 2
Let c(b) be the first derivative of -2*b**3/3 + 3*b**2/5 + 4*b/5 - 14. Factor c(w).
-2*(w - 1)*(5*w + 2)/5
Let p(n) = -9*n**3 - 5*n**2 + 3. Let i(l) = 28*l**3 + 16*l**2 - 10. Let m(w) = 6*i(w) + 20*p(w). Factor m(r).
-4*r**2*(3*r + 1)
Let p(f) = -f**3 + f**2 + 5*f - 1. Let z be (8/3)/(4/6). Let l(g) = 2*g**3 - 6*g + 1. Let b(v) = z*l(v) + 5*p(v). Suppose b(a) = 0. Calculate a.
-1, 1/3
Let o(z) be the second derivative of 0 + z**3 - 4*z + 1/4*z**4 + 2*z**2 + 1/40*z**5. Factor o(g).
(g + 2)**3/2
Let n be (1 - 2)*45/(-5). Factor -6*q**3 - 6 + 15*q + 12*q**2 - 6*q**2 - n*q**3.
-3*(q - 1)*(q + 1)*(5*q - 2)
Factor 16/3*o**3 + 2*o**4 + 8/3*o**2 + 0*o + 0.
2*o**2*(o + 2)*(3*o + 2)/3
Let q(k) = -k**4 + 4*k**3 + k**2 + 8*k. Let w(f) = -f**3 - f. Let l(x) = q(x) + 6*w(x). Determine z, given that l(z) = 0.
-2, -1, 0, 1
Let j = -12 + 16. Solve -4 + 12*a**4 + 30*a - 8*a**2 - 18*a + 0*a**4 - 8*a**3 - j*a**5 = 0 for a.
-1, 1
Let a be (0 - 0) + 0 + 24 + -22. Let 1/2*u + 1/2*u**a - 1 = 0. What is u?
-2, 1
Let z(w) be the second derivative of 2*w**7/21 - 8*w**6/15 + 2*w**5/5 + 4*w**4/3 - 2*w**3 + 6*w + 2. Factor z(v).
4*v*(v - 3)*(v - 1)**2*(v + 1)
Let o(y) be the second derivative of y**4/48 + y**3/48 - y**2/16 + 10*y. Factor o(n).
(n + 1)*(2*n - 1)/8
Suppose -3*f + 2413 = 2407. Let -3/4*l**f + 0*l - 3*l**3 - 9/4*l**4 + 0 = 0. Calculate l.
-1, -1/3, 0
Suppose 0*n**2 - 1/5*n**4 + 1/5*n**5 + 0 + 0*n - 2/5*n**3 = 0. What is n?
-1, 0, 2
Let b(r) be the third derivative of r**5/60 - 3*r**2. Let x(l) = -2*l**4 + 4*l**3 - 10*l**2. Let o(i) = 8*b(i) + x(i). Factor o(v).
-2*v**2*(v - 1)**2
Let c(j) = -j**2. Let f(z) = z**2. Let r(t) = -t + 4. Let u be r(8). Let m = u - -1. Let v(y) = m*f(y) - 4*c(y). Find h, given that v(h) = 0.
0
Let h = -87/5 + 88/5. Let r(u) be the first derivative of 1/15*u**3 + 0*u - h*u**2 + 2. Determine l, given that r(l) = 0.
0, 2
Let z(q) = -q**2 + q - 1. Let g(o) = -o**3 + 7*o**2 + 2*o - 9. Let a be g(7). Let w(p) = 2 - a*p**2 + 3*p - 4 - 2. Let x(c) = w(c) - 4*z(c). Factor x(l).
-l*(l + 1)
Let h be 0 + 142/(-72) - (30 - 32). Let b(j) be the third derivative of 0*j + 1/180*j**5 + 1/18*j**3 - h*j**4 + 2*j**2 + 0. Suppose b(d) = 0. What is d?
1
Let 5/2*x + 0 - 5*x**2 + 5/2*x**3 = 0. Calculate x.
0, 1
Let v(n) be the first derivative of -n**4/36 + 4*n**3/27 - 2*n**2/9 + 13. What is y in v(y) = 0?
0, 2
Let o(t) be the first derivative of 2*t**3/5 - 8*t**2/5 + 8*t/5 + 7. Factor o(z).
2*(z - 2)*(3*z - 2)/5
Suppose -5*u = -u - 24. Let c = u - 3. Factor -3 + r**2 + c.
r**2
Let r = -2 + 3. Let f(d) be the third derivative of d**6/60 - d**5/15 - 5*d**4/12 + 2*d**3/3 - d**2. Let h(a) = -a. Let k(o) = r*f(o) - 8*h(o). Factor k(z).
2*(z - 2)*(z - 1)*(z + 1)
Let x(j) be the second derivative of -1/360*j**6 + 0*j**5 + 1/24*j**4 + j**2 + j + 1/9*j**3 + 0. Let n(s) be the first derivative of x(s). Factor n(z).
-(z - 2)*(z + 1)**2/3
Let l(w) be the third derivative of w**5/20 + w**4/8 + 2*w**2. Factor l(p).
3*p*(p + 1)
Suppose -12*r**4 - 9*r + 9*r**3 - 3 + 5*r**2 + 3*r**2 + 7*r**2 = 0. What is r?
-1, -1/4, 1
Suppose 5*w = -16 - 4. Let k be 1/7*w/(-2). Factor -4/7*h + 4/7*h**3 - 2/7*h**4 + k + 0*h**2.
-2*(h - 1)**3*(h + 1)/7
Let k = -10 + 14. Find a, given that 23*a**2 + 147*a**5 - 28*a - 231*a**k + 12 - 68*a - 51*a**3 + 196*a**2 = 0.
-1, 2/7, 1
Let h(c) be the third derivative of -c**5/150 - c**4/15 - c**3/5 + 36*c**2. Suppose h(q) = 0. Calculate q.
-3, -1
Let a(q) be the second derivative of -q**6/20 - 3*q**5/40 + q**4/8 + q**3/4 - 17*q. What is v in a(v) = 0?
-1, 0, 1
Let h(x) be the third derivative of -x**7/840 + x**6/120 - 5*x**4/24 + 5*x**2. Let t(f) be the second derivative of h(f). Suppose t(m) = 0. What is m?
0, 2
Suppose 2*b - 20 