 Let k(v) = 0. What is v?
-1, 0, 1, 2
Let x(g) be the first derivative of 3*g**5/5 + g**4/4 - 5*g**3/3 - g**2/2 + 2*g + 3. Suppose x(f) = 0. Calculate f.
-1, 2/3, 1
Suppose 0 = 2*c + 4. Let j be (-1)/c*(-20)/(-25). Determine k so that 4/5*k**2 + 0 + j*k**3 + 0*k = 0.
-2, 0
Let y(u) be the third derivative of u**6/540 - 11*u**5/135 + 121*u**4/108 + 46*u**2. Find z, given that y(z) = 0.
0, 11
Let d(y) = y - 3. Let z(w) = -w + 1. Let x(u) = -d(u) - 2*z(u). Let v be x(-1). Factor -1/3*m**5 - 13/3*m**3 + 2*m**4 + 4*m**2 - 4/3*m + v.
-m*(m - 2)**2*(m - 1)**2/3
Let k(a) = 2*a**2 - 2*a. Let l(c) = 9*c**2 - 9*c. Let s(w) = 21*k(w) - 5*l(w). Factor s(m).
-3*m*(m - 1)
Let q(u) = u**3 - 8*u**2 + 6*u + 10. Suppose 26 + 9 = 5*s. Let v be q(s). Factor 0 + 1/2*k**2 - 1/2*k**4 - 1/2*k**v + 1/2*k.
-k*(k - 1)*(k + 1)**2/2
Suppose 0 - 4/7*l - 2/7*l**2 + 6/7*l**3 = 0. Calculate l.
-2/3, 0, 1
Solve 81/5*z**3 + 0 + 12/5*z + 72/5*z**2 = 0 for z.
-2/3, -2/9, 0
Let h(d) be the second derivative of 3/2*d**2 + 3/20*d**5 - d + 0 + 3/4*d**4 + 3/2*d**3. Suppose h(t) = 0. Calculate t.
-1
Let m = -7 + 10. Let y = -8 + 13. Suppose 0 - 2/3*h + 4/3*h**4 + 2/3*h**y + 0*h**m - 4/3*h**2 = 0. What is h?
-1, 0, 1
Let d = 7 - 7. Suppose d = 4*g + g. Factor 2/3*h**4 + 4/3*h**3 + g + 0*h + 2/3*h**2.
2*h**2*(h + 1)**2/3
Let j(g) be the third derivative of g**9/3024 - g**7/840 + g**3/3 - 2*g**2. Let o(c) be the first derivative of j(c). Let o(t) = 0. What is t?
-1, 0, 1
Let o(y) be the third derivative of 1/160*y**6 + 5*y**2 + 1/840*y**7 - 1/32*y**4 - 1/12*y**3 + 1/240*y**5 + 0*y + 0. Factor o(j).
(j - 1)*(j + 1)**2*(j + 2)/4
Let 14*n - 2*n**3 - 3*n**2 - 7*n - 9*n + n**3 = 0. What is n?
-2, -1, 0
Let x(f) be the second derivative of f**6/180 - f**5/120 + 6*f. Factor x(z).
z**3*(z - 1)/6
Suppose 37 + 10 = -y - b, -4*y - 190 = 5*b. Let t be (1/3)/((-25)/y). Let 0*q + 0 + t*q**2 = 0. Calculate q.
0
Let a(o) = o**3 + o**2 - o + 4. Let f(b) be the first derivative of 2*b - 2. Let u(w) = 2*a(w) - 5*f(w). Let u(t) = 0. Calculate t.
-1, 1
Let a(o) be the third derivative of -1/6*o**3 - 1/54*o**4 - 1/1620*o**6 + 0 - o**2 - 1/180*o**5 + 0*o. Let m(l) be the first derivative of a(l). Factor m(g).
-2*(g + 1)*(g + 2)/9
Let s be (4/14)/(6/14). Let y = 91/69 - -1/69. Factor y*u - s*u**2 + 0.
-2*u*(u - 2)/3
Factor -3*i**2 - 11/3*i - 2/3.
-(i + 1)*(9*i + 2)/3
Let w = -172 - -174. Solve 0*g**w + 2/9*g**3 + 4/9 - 2/3*g = 0 for g.
-2, 1
Let r(j) = -8*j**4 + 4*j**2 + 11*j - 5. Let t(l) = -15*l**4 + 9*l**2 + 21*l - 9. Let b(v) = 9*r(v) - 5*t(v). Factor b(d).
3*d*(d - 2)*(d + 1)**2
Let s = 191/11 + -17. Solve -8/11*k**2 + 10/11*k + 2/11*k**3 - s = 0 for k.
1, 2
Suppose 5*j = 2*j. Suppose j = f - 2*f. Factor -2/7*z**3 - 4/7*z**2 + f - 2/7*z.
-2*z*(z + 1)**2/7
Let u(t) = t**3 + 3*t**2 - t - 1. Let z be u(-3). Suppose z*o = 4*o - 94. Factor 30*m**3 - 27*m**5 - 6*m - o*m**3 - 87*m**4 - 45*m**2 - 53*m**3 - 29*m**3.
-3*m*(m + 1)**3*(9*m + 2)
Let p(h) = 2*h + 18. Let w be p(-8). Find y such that -3/2 + 3/2*y**w + 0*y = 0.
-1, 1
Let f be (-4)/7 - (-415)/175. Suppose 21/5*r**2 + 0*r - 3/5*r**3 - 12/5 + 3/5*r**5 - f*r**4 = 0. Calculate r.
-1, 1, 2
Let t(a) = -3*a**3 + 33*a**2 - 57*a + 27. Let o(s) = 2*s**3 - 17*s**2 + 28*s - 13. Let c(l) = -7*o(l) - 3*t(l). Solve c(d) = 0.
1, 2
Suppose -f - s = 4*f - 12, -3*s + 8 = f. Let q = -5 - -8. Determine u so that u**4 + 3*u**3 + 2*u**2 - u - 3*u**2 + 0*u**2 - f*u**q = 0.
-1, 0, 1
Factor 1/6 + 1/3*f**3 + 1/6*f**4 - 1/3*f**2 - 1/6*f**5 - 1/6*f.
-(f - 1)**3*(f + 1)**2/6
Let w = -53269/70 + 761. Let d(c) be the second derivative of -4*c + 0 - w*c**5 + 0*c**3 + 0*c**4 + 0*c**2. Suppose d(b) = 0. Calculate b.
0
Let r(n) be the third derivative of n**6/15 + 5*n**5/3 + 11*n**4/6 - 8*n**3 + 16*n**2. Factor r(a).
4*(a + 1)*(a + 12)*(2*a - 1)
Suppose 0 = 5*t - 2 - 3. Let x(p) = p**4 - p**3 - p**2 - p - 2. Let d(c) = -c**3 - 1. Let w(n) = t*x(n) - 2*d(n). Factor w(o).
o*(o - 1)*(o + 1)**2
Factor -2*f**2 + 8*f**2 - 11*f**2 + 4*f + 3*f**2.
-2*f*(f - 2)
Suppose 2 = 2*q - 8. Suppose -x - 2*d = q, 0*x + 2*x - 2*d = 8. Determine u, given that x - 5*u**2 - 3*u - 3 + 4*u**2 = 0.
-2, -1
Let r be (-175)/(-84) + -1*2. Let j(v) be the second derivative of -1/40*v**5 - 1/12*v**3 - r*v**4 + 2*v + 0*v**2 + 0. Solve j(q) = 0.
-1, 0
Let s(f) = -f**5 - 6*f**4 - 2*f**3 - 4*f**2 - 7*f + 5. Suppose 0 = 5*p - 3*p + 10. Let l(c) = c**4 + c**3 + c**2 + c - 1. Let q(d) = p*l(d) - s(d). Factor q(z).
z*(z - 1)**2*(z + 1)*(z + 2)
Factor -1/3*z**3 + 1/3*z**2 + 0*z + 0.
-z**2*(z - 1)/3
Solve 18*p**2 + 4*p + 12*p**3 + 4*p**4 - p**4 + 3 + 8*p = 0 for p.
-1
Suppose -5*s = -16 - 9, 20 = 4*v + 4*s. Factor -2/5*y**3 + 0*y + v - 2/5*y**2.
-2*y**2*(y + 1)/5
Let i(j) be the third derivative of j**8/112 - j**7/35 + j**6/40 + 12*j**2. Solve i(t) = 0.
0, 1
Let g(n) = -n. Let z(r) = -r**2 - 2. Let t(v) = 4*g(v) - z(v). Let a be t(4). Solve -16*b**3 + 0*b**2 + 12*b**2 - 2*b + 8*b**4 - 2*b**a = 0 for b.
0, 1/2, 1
Let v(d) = -d**2 + 9*d + 4. Let q be v(8). Suppose 5*i - q = -t, 3*i + 6*t = t + 16. Suppose -2*h**i - 2*h**2 - 3*h**2 + 3*h**2 + 4 - 6*h = 0. What is h?
-2, 1/2
Factor -1/4*m**3 - 3/4*m + 0 + m**2.
-m*(m - 3)*(m - 1)/4
Let q(u) be the second derivative of -u**4/4 - 4*u**3 - 24*u**2 + 9*u. Let q(x) = 0. Calculate x.
-4
Let q(f) be the second derivative of f**7/28 - f**6/20 - 3*f**5/40 + f**4/8 - 18*f. Solve q(v) = 0.
-1, 0, 1
Let c be (2/7)/((-3)/(12/(-4))). Factor -4/7*y**4 + 0*y - c*y**3 - 2/7*y**5 + 0*y**2 + 0.
-2*y**3*(y + 1)**2/7
Let z(h) be the first derivative of -1/45*h**6 + h + 1/10*h**5 + 0*h**2 + 1 - 1/6*h**4 + 1/9*h**3. Let f(b) be the first derivative of z(b). Factor f(l).
-2*l*(l - 1)**3/3
Let j = 2/21 - -4/7. Factor -a**3 + 0 - 2/3*a**2 - 1/6*a - j*a**4 - 1/6*a**5.
-a*(a + 1)**4/6
Let n(m) be the first derivative of m**5/15 - m**4/2 + 13*m**3/9 - 2*m**2 + 4*m/3 - 4. Suppose n(t) = 0. What is t?
1, 2
Let u(y) = 3*y**3 + 9*y**2 - 18*y + 18. Let b(g) be the first derivative of g**4/4 - g**3/3 + g**2/2 + g + 6. Let z(f) = 6*b(f) - u(f). Factor z(l).
3*(l - 2)**2*(l - 1)
Let h = -1076 - -1078. Suppose 0 + 1/4*o**3 + 3/4*o**h + 0*o = 0. Calculate o.
-3, 0
Let p = -4 + 8. Suppose 0 = x - 0*x - 2. Factor -21 - 8*u**x - 24*u + 5 - p*u**2 - 2*u**3.
-2*(u + 2)**3
Find u such that 12/7 + 24/7*u - 15/7*u**2 = 0.
-2/5, 2
Let d be ((-6)/(-108))/(3/9). Let i(h) be the first derivative of d*h**6 + 0*h**2 + 1 - 1/4*h**4 - 1/5*h**5 + 1/3*h**3 + 0*h. Determine r, given that i(r) = 0.
-1, 0, 1
Let j(y) be the third derivative of 2*y**2 + 1/40*y**6 + 0*y + 0*y**3 + 0 + 1/30*y**5 + 0*y**4. Find b, given that j(b) = 0.
-2/3, 0
Let t(c) = 7*c**4 + 5*c**2 - 5*c + 5. Let m(d) = -d**4 - d**2 + d - 1. Let i(k) = -5*m(k) - t(k). Factor i(y).
-2*y**4
Let v = 6 - 12. Let p be (-19)/(-2) + v/4. Suppose 6*t - 2*t**2 - 4 + p + 4*t**2 = 0. What is t?
-2, -1
Let u(z) = z**2 - 3*z - 2. Let i be u(4). Determine j, given that 12*j + 2*j**i - 5*j**2 - 3*j + 0*j**2 - 6 = 0.
1, 2
Let d be 60/(-490)*56/(-24). Let 0*r**2 + 0*r**4 - d*r**3 + 0 + 2/7*r**5 + 0*r = 0. What is r?
-1, 0, 1
Let y(p) = -p**3 - 4*p**2 - 4*p - 2. Let m be y(-4). Let k be (7/m)/(2/12). Solve 1/4*u**4 + 0*u**2 + 0*u + 0 + 1/4*u**k = 0 for u.
-1, 0
Let l be (-5)/((-15)/6) + -2. Let b(i) be the first derivative of l*i**3 + 0*i**5 - 1 - 1/7*i**2 + 0*i + 1/7*i**4 - 1/21*i**6. Factor b(f).
-2*f*(f - 1)**2*(f + 1)**2/7
Factor -4*v**3 - 34*v**2 + 38*v**2 + 5*v**3 + 3*v.
v*(v + 1)*(v + 3)
Factor -c**3 + 0*c + 0 + 1/2*c**2.
-c**2*(2*c - 1)/2
Let z(t) = 5*t**3 - t**2 - t. Let m be z(-1). Let u be 1/((-1)/m) + -1. Factor 0*h**2 + 0 + 1/4*h**5 + 0*h**u - 1/4*h**3 + 0*h.
h**3*(h - 1)*(h + 1)/4
Let f(j) be the first derivative of -4*j**6 + 44*j**5/5 + 8*j**4 - 44*j**3/3 - 4*j**2 + 21. What is m in f(m) = 0?
-1, -1/6, 0, 1, 2
Factor -11*q**2 + 5*q**2 + 5*q**2.
-q**2
Let m = 4/41 + 152/123. Let u = 3 + -3. Solve u - 49/3*h**4 + 0*h + 28/3*h**3 - m*h**2 = 0 for h.
0, 2/7
Let q(w) = -3*w**3 + 9*w**2 - 6*w - 6. Let s(z) = 1. Let a be (2/6)/(1/18). Let f(c) = a*s(c) + q(c). Factor f(v).
-3*v*(v - 2)*(v - 1)
Find z such that -2*z**4 - 29 + 2*z**2 + 29 = 0.
-1, 0, 1
Let k(b) be the first derivative of -5*b**4/2 - 5*b**3 + 5*b - 37. Factor k(d).
-5*(d + 1)**2*(2*d - 1)
Let q(o) = o - 6. Let x be q(6). 