z**8/5040 + z**7/1260 - 5*z**3/3 + 6*z**2. Let r(x) be the first derivative of w(x). Factor r(j).
j**3*(j + 2)/3
Let g(n) = 2*n**3 - 8*n**2 + 10*n - 20. Let a(w) = w**3 - 3*w**2 + 3*w - 7. Let k(f) = 8*a(f) - 3*g(f). Factor k(y).
2*(y - 1)**2*(y + 2)
Let i(r) = r + 7. Let k be i(-8). Let x be 0 - (k - (-1 - -5)). Find w such that -w**2 + w + 5 - x = 0.
0, 1
Let q be -2 + (84/(-2))/(-2). Suppose 4*b - z = -0*z + 11, 5*b - 3*z - q = 0. Find m, given that 0 - 2/5*m**b - 2/5*m = 0.
-1, 0
Let o(f) = 7*f - 236. Let k be o(34). Solve -1/5*a**k + 1/5*a + 0 = 0 for a.
0, 1
Let k(w) be the third derivative of -w**6/1080 + w**5/360 + w**4/36 + w**3/2 - 2*w**2. Let t(q) be the first derivative of k(q). Factor t(f).
-(f - 2)*(f + 1)/3
Let y(i) be the third derivative of i**5/12 - 5*i**4/3 + 40*i**3/3 - 31*i**2. What is m in y(m) = 0?
4
Suppose 3*t + 5*a - 2*a = 0, 5*t - a = 0. Suppose -8/13*p**2 + t - 2/13*p = 0. What is p?
-1/4, 0
Suppose 0 - 8 = -4*i. Determine u, given that 4/5*u**i + 0 + 6/5*u**3 + 0*u = 0.
-2/3, 0
Suppose 10/7*g**4 - 10/7*g**2 + 0 - 4/7*g - 2/7*g**3 + 6/7*g**5 = 0. What is g?
-1, -2/3, 0, 1
Let v(g) be the third derivative of -g**7/70 + 3*g**6/20 - 13*g**5/20 + 3*g**4/2 - 2*g**3 + 5*g**2. Factor v(y).
-3*(y - 2)**2*(y - 1)**2
Let t(b) be the second derivative of b**7/5040 - b**6/480 + b**5/120 - b**4/4 - b. Let i(z) be the third derivative of t(z). Determine n so that i(n) = 0.
1, 2
Suppose 0 = 2*s - 2, -8*y + 2*s + 2 = -7*y. Factor 0*n + 0*n**y + 0*n**2 + 0*n**3 + 0 - 3/2*n**5.
-3*n**5/2
Let -40/17*l**2 + 0 - 14/17*l**3 + 2/17*l**5 + 4/17*l**4 - 24/17*l = 0. What is l?
-2, -1, 0, 3
Let o(z) be the third derivative of z**8/112 + z**7/70 - z**6/8 - z**5/4 + z**4/2 + 2*z**3 - 6*z**2. Find d, given that o(d) = 0.
-2, -1, 1, 2
Let -5*t**2 - 355*t + 355*t + 5*t**4 = 0. Calculate t.
-1, 0, 1
Let a be 2 - -2*10/(-11). Factor 0*i**4 + 0*i**2 + 0*i + a*i**5 + 0 - 2/11*i**3.
2*i**3*(i - 1)*(i + 1)/11
Let t(v) be the third derivative of -4/5*v**5 - 4*v**2 - 13/35*v**7 + 0*v + 0 + v**3 + 1/8*v**4 - 17/20*v**6 - 1/16*v**8. Let t(m) = 0. What is m?
-1, 2/7
Let f(l) be the third derivative of 0*l**4 + 1/15*l**3 + 0 - l**2 + 0*l + 1/525*l**7 - 1/75*l**5 + 0*l**6. Factor f(s).
2*(s - 1)**2*(s + 1)**2/5
Suppose 4*a = -3*h - 28 + 5, -a - 12 = 2*h. Let s = a - -2. Factor s + 0*v**2 + 0*v - 2/5*v**3.
-2*v**3/5
Suppose 0 = -2*q + 4. Factor -2/7*v + 4/7*v**q + 0 - 2/7*v**3.
-2*v*(v - 1)**2/7
Let n(x) be the first derivative of x**4/32 - 3*x**2/16 + x/4 + 1. Factor n(h).
(h - 1)**2*(h + 2)/8
Let x(k) be the third derivative of -1/6*k**4 + 4/5*k**5 - 4/3*k**3 - 9*k**2 + 0*k + 0 - 3/10*k**6. Find j such that x(j) = 0.
-1/3, 2/3, 1
Let v(g) = -g**2 - g. Let u(n) = n**2 + n. Let p(z) = -z**3 - 3 + 7*z**2 - 1 - z - 4*z. Let j be p(6). Let m(a) = j*u(a) + 3*v(a). Factor m(i).
-i*(i + 1)
Let y(i) = i + 6. Let v be y(-11). Let l(a) = -a - 5. Let p be l(v). Factor -1/2*w + 0*w**3 + p + 1/2*w**5 - w**2 + w**4.
w*(w - 1)*(w + 1)**3/2
Solve -6/11*n**2 + 0 + 0*n + 2/11*n**4 + 4/11*n**3 = 0.
-3, 0, 1
Let c(h) be the first derivative of -18*h**5/25 - 8*h**4/5 - 2*h**3/3 + 2*h**2/5 - 14. Determine g so that c(g) = 0.
-1, 0, 2/9
Let h be (1/(-6))/(4/(-16)). Let z be (-1 - -3)/((-3)/(-1)). Factor -2/3*m**3 + z + 2/3*m - h*m**2.
-2*(m - 1)*(m + 1)**2/3
Factor 0 + 2/3*v**2 - 4/3*v.
2*v*(v - 2)/3
Suppose 0 = 12*i - 15*i + 3. Let n(t) be the first derivative of -2/3*t**3 + t**2 + 0*t + i. Determine x so that n(x) = 0.
0, 1
Let a(n) = n**2. Let l be 2 - 3 - (-3 - 0). Let c = 9 + l. Let u(f) = -2*f**2. Let j(z) = c*a(z) + 6*u(z). Solve j(b) = 0.
0
Let i(r) = -r**3 + r - 2. Let z(c) = -2*c**3 - c**2 + 3*c - 5. Let d = -4 + 7. Suppose d*h + 25 = -2*h. Let w(k) = h*i(k) + 2*z(k). Find u, given that w(u) = 0.
0, 1
Let f(b) be the second derivative of 0 + 1/168*b**7 + 3*b + 0*b**2 + 1/60*b**6 + 0*b**5 + 0*b**3 + 0*b**4. Determine l, given that f(l) = 0.
-2, 0
Let x(v) be the third derivative of v**5/15 + v**4/6 - 4*v**3/3 + 5*v**2. Let x(i) = 0. What is i?
-2, 1
Let i = 1596 - 1596. Factor 4/3*v**4 + i*v**3 + 0*v**2 + 0 + 0*v.
4*v**4/3
Let c(d) be the second derivative of 162*d**6/5 + 27*d**5/5 - 8*d**4 - 8*d**3/3 + 12*d. Factor c(g).
4*g*(3*g - 1)*(9*g + 2)**2
Let s(x) be the first derivative of -x**8/5880 + x**6/630 - x**4/84 - x**3 - 4. Let p(l) be the third derivative of s(l). Solve p(u) = 0 for u.
-1, 1
Let f(r) be the third derivative of 4*r**5/105 - 17*r**4/42 + 8*r**3/21 + 16*r**2. Suppose f(s) = 0. What is s?
1/4, 4
Let t = -13 - -7. Let u(o) = -o + 8. Let c be u(t). Factor -22*j - 2 + 6 + c*j**2 + 4*j.
2*(j - 1)*(7*j - 2)
Let f be (3/4)/((-54)/1104). Let x = -15 - f. Solve 0*p - x*p**2 + 0 = 0.
0
Let p be 403/(-182) + 10/4. Factor -2/7*h + 0 - p*h**2.
-2*h*(h + 1)/7
Let a(j) be the third derivative of j**6/420 + j**5/210 - j**4/84 + j**3/3 - 4*j**2. Let l(u) be the first derivative of a(u). Find q such that l(q) = 0.
-1, 1/3
Suppose 2*v - 3*v - 2 = 0. Let k(p) be the first derivative of p**3/3 + p**2 + 3*p + 1. Let x(c) = c + 1. Let i(g) = v*k(g) + 6*x(g). Factor i(q).
-2*q*(q - 1)
Let n(i) be the third derivative of 2*i**7/735 - i**6/105 - i**5/105 + i**4/21 - 13*i**2. Suppose n(w) = 0. What is w?
-1, 0, 1, 2
Let n(l) be the third derivative of l**8/504 + l**7/210 - l**6/180 - l**5/45 + l**3/18 + l**2. Determine y, given that n(y) = 0.
-1, 1/2, 1
Let i(t) = 2*t**2 - 5*t - 7. Let r(k) = -2*k**2 + 4*k + 6. Let u(q) = -2*i(q) - 3*r(q). Find a such that u(a) = 0.
-1, 2
Let k(v) be the first derivative of v**3 - 12*v**2 + 48*v - 8. What is p in k(p) = 0?
4
Let q be 2/5 + (-28)/(-5). Solve q*d + 4*d**4 - 6*d**3 + 3 + 0 - 7*d**4 = 0 for d.
-1, 1
Let z(b) be the third derivative of 7*b**6/24 + b**5/6 + 3*b**2 - 6*b. Find l, given that z(l) = 0.
-2/7, 0
Suppose 4*q + 4*b - 16 = q, -2*b = -5*q + 18. Factor -3/2*h**3 + 3/2*h**2 - 3/4 + 3/4*h + 3/4*h**5 - 3/4*h**q.
3*(h - 1)**3*(h + 1)**2/4
Let b(m) = m**2. Suppose t + t - 4 = 0. Let v(l) = 2 + 2*l**2 + l**2 - 3. Let o(h) = t*b(h) - v(h). Factor o(j).
-(j - 1)*(j + 1)
Let d(x) be the second derivative of x**5/10 - x**4/3 - 6*x. Let d(i) = 0. Calculate i.
0, 2
Let x(m) be the first derivative of 4*m**5/5 + 3*m**4 - 8*m**2 + 14. Factor x(d).
4*d*(d - 1)*(d + 2)**2
Let r(d) be the second derivative of -d**6/150 - 3*d**5/100 + 2*d**3/15 - 7*d. Solve r(x) = 0 for x.
-2, 0, 1
Let v(n) = -7*n**4 - 14*n**3 - 9*n**2 + 8*n + 10. Let o(h) = h**4 + h**3 - h**2 + 1. Let f(p) = -6*o(p) - v(p). Solve f(g) = 0.
-4, -1, 1
Let i(w) be the second derivative of w - 9/4*w**5 - 7/4*w**4 - 1/2*w**3 + 0*w**2 - 9/10*w**6 + 0. Factor i(s).
-3*s*(s + 1)*(3*s + 1)**2
Suppose 2*w - 12 = -2*w - 4*n, -1 = n. Factor -18*u**3 + 5*u**w - 2*u**5 - 4*u - 5*u**2 - 9*u**2 - 6*u**4 - 9*u**4.
-2*u*(u + 1)**3*(u + 2)
Let s = 441 - 61739/140. Let a(o) be the third derivative of 0*o**4 + 2*o**2 + 0*o**3 + 0*o - 1/105*o**5 + s*o**6 + 0 + 1/147*o**7. Factor a(z).
2*z**2*(z + 1)*(5*z - 2)/7
Let q(m) be the third derivative of m**8/26880 - m**7/6720 - m**5/10 + 3*m**2. Let j(n) be the third derivative of q(n). Factor j(c).
3*c*(c - 1)/4
Suppose p - 3*c = 8, -77*c + 72*c = -4*p + 25. Solve -2/5*r**2 + 6/5*r**3 + 0*r + 0 + 2/5*r**4 - 6/5*r**p = 0.
-1, 0, 1/3, 1
Let v(d) = -d**2 - d. Let n(o) = -o - 8. Let z be n(-8). Let i be v(z). Solve -5*a**3 + 2 + 4*a**3 - 5*a + 4*a**2 + i*a**3 = 0 for a.
1, 2
Let a(u) = 9*u**5 - 14*u**3 - 3*u**2 + 2*u. Let y(r) = -18*r**5 - r**4 + 27*r**3 + 6*r**2 - 4*r. Let c(o) = -10*a(o) - 6*y(o). What is i in c(i) = 0?
-1, -2/3, 0, 1/3, 1
Let r(v) = -v**2 - 13*v + 2. Let u be r(-13). Suppose -2*o**3 - 2*o + o - 2 + 3*o**3 + 3*o**u - o**4 = 0. What is o?
-1, 1, 2
Suppose x + 0*x**5 - 2*x**4 - 3*x**5 + x**2 + x**2 + 2*x**5 = 0. What is x?
-1, 0, 1
Suppose 0 = 3*k - 15, -c + 5 = 2*c - 5*k. Suppose 5*w = -0*w + c. Factor 4/9*a + 2/9 + 8/9*a**3 - 14/9*a**w.
2*(a - 1)**2*(4*a + 1)/9
Factor -5/6 - 2/3*c + 1/6*c**2.
(c - 5)*(c + 1)/6
Let y(v) be the second derivative of 49*v**7/27 + 1078*v**6/135 - 182*v**5/15 + 164*v**4/27 - 32*v**3/27 - 37*v + 2. Solve y(l) = 0 for l.
-4, 0, 2/7
Let l(f) be the first derivative of f**4/6 - 2*f**3/3 + 9. Factor l(m).
2*m**2*(m - 3)/3
Let j(k) be the third derivative of 0*k + 1/60*k**6 - 1/3*k**3 - 3*k**2 - 1/10*k**5 + 1/4*k**4 +