1, 0, 1
Let z(v) be the second derivative of -v**6/280 - v**5/70 - v**4/56 + 7*v**2/2 + 8*v. Let l(b) be the first derivative of z(b). Find m such that l(m) = 0.
-1, 0
Let h(r) = r**4 + 3*r**3 + r**2 + 5*r - 5. Let c(f) = 2*f**3 + 2*f - 2. Let x(j) = 5*c(j) - 2*h(j). Determine q, given that x(q) = 0.
0, 1
Factor -3/8*n**3 + 0 + 3/8*n - 3/8*n**4 + 3/8*n**2.
-3*n*(n - 1)*(n + 1)**2/8
Let x(n) be the first derivative of -2*n**5/35 - n**4/14 + 2*n**3/21 + n**2/7 + 11. What is j in x(j) = 0?
-1, 0, 1
Let f be 62*(1/1)/2. Factor f*q**2 + 4*q**3 + 20*q**3 - 36 - 24*q + 4*q**4 + q**2.
4*(q - 1)*(q + 1)*(q + 3)**2
Let o = -73 + 73. Find v such that 1/2*v**3 - 1/2*v - 1/4 + o*v**2 + 1/4*v**4 = 0.
-1, 1
Let m(d) be the second derivative of -d**6/225 - d**5/150 + d**4/30 + d**3/9 + 2*d**2/15 + 27*d. Find n, given that m(n) = 0.
-1, 2
Factor -1/5*u**4 + 1/5*u**2 + 0 + 1/5*u**3 - 1/5*u.
-u*(u - 1)**2*(u + 1)/5
Suppose 0 = 4*x - 17 + 9. Let p(z) be the second derivative of -1/50*z**5 - 3*z + 0*z**x + 0 + 1/30*z**4 + 0*z**3. Let p(n) = 0. Calculate n.
0, 1
Let p(i) be the first derivative of -i**6/45 + i**5/30 + i**4/18 - i**3/9 - i + 6. Let t(s) be the first derivative of p(s). Determine v, given that t(v) = 0.
-1, 0, 1
Let k = 8/881 - -56312/7929. Factor k*q - 18*q**3 - 10*q**2 - 8/9.
-2*(q + 1)*(9*q - 2)**2/9
Let m(q) be the second derivative of 3*q**5/70 - 17*q**4/42 + 3*q**3/7 + 5*q**2/7 + 30*q. Factor m(h).
2*(h - 5)*(h - 1)*(3*h + 1)/7
Let z(i) be the third derivative of -i**2 - 1/80*i**5 + 0*i + 0 + 0*i**3 + 1/96*i**4. Find q, given that z(q) = 0.
0, 1/3
Let u(k) = -2*k**2 + 8*k - 8. Let n(o) = 2*o**2 - 8*o + 8. Let t = 6 + -9. Let q(s) = t*u(s) - 2*n(s). Factor q(p).
2*(p - 2)**2
Let p be (-486)/(-462) - (-2)/(-14). Find o, given that 0*o + 34/11*o**2 + 36/11*o**3 - 8/11 + p*o**4 = 0.
-2, -1, 2/5
Let k = 12/121 - 719/8470. Let q(f) be the second derivative of -1/21*f**4 + 2/7*f**2 + k*f**5 + f + 0 - 1/21*f**3. Let q(u) = 0. What is u?
-1, 1, 2
Let o be 3*1 + (-658)/(-42). Let m = 19 - o. Factor m*k**2 + 1/3*k**4 + 0 - 2/3*k**3 + 0*k.
k**2*(k - 1)**2/3
Let w(t) be the second derivative of -3*t + 0 + 0*t**2 - 1/18*t**3 + 1/36*t**4. Factor w(h).
h*(h - 1)/3
Let z(s) be the second derivative of 3/20*s**5 + 4*s + 5/2*s**3 + 3*s**2 + 0 + s**4. Factor z(f).
3*(f + 1)**2*(f + 2)
Let c = -38/51 + -3/34. Let u = c - -7/6. Suppose -4/3 - 1/3*l**2 - 5/3*l**3 + u*l**4 + 8/3*l + 1/3*l**5 = 0. Calculate l.
-2, 1
Let k = -124 + 377/3. Factor 1/3*o**3 + 8/3*o + k*o**2 + 4/3.
(o + 1)*(o + 2)**2/3
Let c(r) = 3*r - 6. Let z be c(3). Let q = z + -3. Suppose 0 + q*d**2 - 1/5*d**3 + 0*d + 1/5*d**4 = 0. What is d?
0, 1
Let u be 352/(-40) - -9 - 9/(-5). Factor 1 - 3/2*l**u + 1/2*l.
-(l - 1)*(3*l + 2)/2
Let u = -65 + 95. Factor -2*o**3 + 30*o - u*o + 2*o**2.
-2*o**2*(o - 1)
Let n = 4 - 2. Factor 3*i - 9*i + 46*i + 14*i**3 + i**n - 37*i**2 - 2*i**4 - 16.
-2*(i - 2)**3*(i - 1)
Let b(u) = u**3 + u**2 - 3*u + 3. Let y = -4 + 2. Let p(j) = -4 + 1 + 4*j + 1 - 2*j. Let x(v) = y*b(v) - 3*p(v). Factor x(a).
-2*a**2*(a + 1)
Suppose 2*x - 8 = -4*t, -4*x + 10 = -0*x + 2*t. Let u be 12/(-10)*-2 - x. Find l such that 0 + 0*l - u*l**3 + 0*l**2 + 2/5*l**4 = 0.
0, 1
Find y such that -1/7*y**5 - 13/7*y - 1 + 2/7*y**2 + 2*y**3 + 5/7*y**4 = 0.
-1, 1, 7
Let n(d) be the second derivative of 0 - 1/5*d**5 - d**2 + 1/15*d**6 + 0*d**4 + 2/3*d**3 - 2*d. Determine u so that n(u) = 0.
-1, 1
Let p = 18 - 160/9. Let f(h) be the third derivative of -3*h**2 - 1/180*h**5 - p*h**3 + 0 + 0*h + 1/18*h**4. Determine d so that f(d) = 0.
2
Let d(q) = -q**3 + 4*q**2 - 3*q. Let c be d(3). Suppose c = 4*b - 12. Determine z so that b*z + z**3 - 2*z**3 - z**3 + 4*z**2 - 5*z = 0.
0, 1
Let d = -1 - -3. Suppose n**2 + 19 - n - 17 - d*n**2 = 0. What is n?
-2, 1
Let x(b) be the first derivative of 0*b + 24/35*b**5 - 1/7*b**2 + 1/7*b**4 - 8/21*b**3 - 3/7*b**6 + 3. What is y in x(y) = 0?
-1/3, 0, 1
Factor 0*w**2 + 0 + 4/5*w**4 - 2/5*w**5 - 2/5*w**3 + 0*w.
-2*w**3*(w - 1)**2/5
Suppose 2*r + 5*z - 5 = 0, -r + 5*r + z - 19 = 0. Factor h**2 - 10*h - 6 - r*h + 20*h**2.
3*(h - 1)*(7*h + 2)
Let s(l) be the second derivative of -6*l**2 + 7/15*l**6 + 0 - 7/3*l**3 + 13/2*l**4 - 33/10*l**5 - 2*l. Factor s(b).
2*(b - 3)*(b - 1)**2*(7*b + 2)
Let w(k) = -k**3 + 7*k**2 - 3*k - 16. Let l be w(6). Solve 3/5*r - 12/5*r**l - 12/5*r**4 + 18/5*r**3 + 3/5*r**5 + 0 = 0 for r.
0, 1
Let g(s) be the first derivative of -s**6/21 - 26*s**5/35 - 30*s**4/7 - 32*s**3/3 - 64*s**2/7 - 20. Factor g(v).
-2*v*(v + 1)*(v + 4)**3/7
Let s(l) be the first derivative of l**6/120 - 3*l**5/80 + l**4/16 - l**3/24 - 7*l - 3. Let p(r) be the first derivative of s(r). Factor p(a).
a*(a - 1)**3/4
Let u(f) be the third derivative of f**6/120 - f**5/20 - f**4/12 - 2*f**3/3 - 2*f**2. Let r be u(4). Find a, given that r + 2*a**3 - 4*a**2 - 4 = 0.
0, 2
Suppose -2*f + 30 = -4*t, -2*f - 19 = 4*t + 15. Let s = t - -10. Factor 1 + 8*n**3 + 17/2*n + 20*n**s.
(n + 2)*(4*n + 1)**2/2
Let d(k) = 21*k**3 - 18*k**2 - 21*k - 18. Let i(x) be the first derivative of -x**4/4 + x**3/3 + x**2/2 + x - 5. Let g(p) = d(p) + 18*i(p). Factor g(o).
3*o*(o - 1)*(o + 1)
Let t(u) be the third derivative of u**10/60480 + u**9/15120 - u**4/12 - 5*u**2. Let n(a) be the second derivative of t(a). Factor n(i).
i**4*(i + 2)/2
Let c(b) be the second derivative of b**9/5040 - 3*b**8/1120 + b**7/70 - b**6/30 - b**4/4 - 2*b. Let u(y) be the third derivative of c(y). Factor u(g).
3*g*(g - 2)**3
Let k(r) be the first derivative of -r**4/4 - r**3 + 4*r + 18. Let k(a) = 0. Calculate a.
-2, 1
Let p(q) be the first derivative of 4*q**3/3 - 36*q**2 + 324*q + 26. Determine t, given that p(t) = 0.
9
Let t(z) be the second derivative of z**7/168 - z**6/120 - z**5/16 + z**4/48 + z**3/3 + z**2/2 - z. Let t(n) = 0. What is n?
-1, 2
Let r(y) be the second derivative of -y**9/3024 + y**8/1680 + y**7/840 - y**6/360 + y**3/6 + y. Let v(z) be the second derivative of r(z). Factor v(k).
-k**2*(k - 1)**2*(k + 1)
Let h be (-344)/(-28) + 2/(-7). Let q = 6 + -3. Find g, given that -3*g**4 - h*g**2 - 8*g + 2*g**4 - g**3 - 5*g**q = 0.
-2, 0
Let i = -305 + 1223/4. Determine b, given that 0*b + 0 - i*b**3 - 1/4*b**2 - 3/4*b**4 - 1/4*b**5 = 0.
-1, 0
Let p(o) be the second derivative of o**5/120 + o**4/36 + 25*o. Let p(l) = 0. What is l?
-2, 0
Let y = -251 - -253. Solve -2/3 - n - 1/3*n**y = 0 for n.
-2, -1
Let u(a) be the second derivative of -a**7/112 + 3*a**5/160 + 8*a. Factor u(s).
-3*s**3*(s - 1)*(s + 1)/8
Let f(a) be the third derivative of a**5/12 + 5*a**4/12 - 61*a**2. Determine m, given that f(m) = 0.
-2, 0
Suppose 0 = -21*s + 8 - 8. Determine g so that 20/3*g**2 + s + 2/3*g**5 + 4*g**4 + 8*g**3 + 2*g = 0.
-3, -1, 0
Let c(w) be the third derivative of -w**5/20 - 3*w**4/8 + 6*w**2. Factor c(s).
-3*s*(s + 3)
Suppose 8*v = -2*v. Let -2/7*t**3 + 0*t + v + 2/7*t**2 = 0. What is t?
0, 1
Suppose -5*h + 2*r = -15, -5*h + 9 = 2*r - 6. Let m(b) be the second derivative of 0*b**2 + 0 + 1/42*b**4 + 1/21*b**h + 3*b. Solve m(a) = 0.
-1, 0
Suppose 3*t - 15 - 9 = 0. Suppose -3*l + t*l + 2*d - 23 = 0, -13 = -3*l - d. Let -2*n**2 - 2*n + l*n + 3*n**2 = 0. Calculate n.
-1, 0
Suppose 2*d = 7*d - 10. Let y(k) = 4*k**2 - k. Let b be y(d). Suppose 2/5 - 8/5*q + 64/5*q**3 - 12/5*q**2 + 24/5*q**5 - b*q**4 = 0. What is q?
-1/3, 1/4, 1
Let b(y) be the first derivative of y**4/6 - y**3 + 2*y**2 + 3*y - 2. Let c(p) be the first derivative of b(p). Factor c(n).
2*(n - 2)*(n - 1)
Let w(a) be the third derivative of -a**6/160 - a**5/120 + 7*a**4/96 - a**3/12 - 54*a**2. Determine k so that w(k) = 0.
-2, 1/3, 1
Let n be (0 - -1)*(-7 - 1). Let k = -5 - n. Find g such that 8*g + 2 + 8*g**k - 12*g**2 - 92*g**4 + 22*g**4 - 24*g**5 - 72*g**3 = 0.
-1, -1/4, 1/3
Let l(x) = 5*x - 55. Let c be l(11). Let -2/3*t**2 + c*t**3 + 0 + 2/3*t**4 + 0*t = 0. What is t?
-1, 0, 1
Let z(w) = 3*w + 21. Let n be z(-7). Suppose n*d + 3 = d. Factor 0*t - 1/2*t**5 - 1/2*t**2 + 1/2*t**4 + 0 + 1/2*t**d.
-t**2*(t - 1)**2*(t + 1)/2
Suppose -5*d - 4*z = -6*z - 21, 3*d = -2*z + 19. Find b, given that -27*b**3 - 4*b**5 + 21*b**2 - b**5 + 15*b**4 + 2*b**d - 6*b = 0.
0, 1, 2
Let d = 43/56 - -5/56. Let t = d - 4/7. Factor t*r**2 - 2/7 + 0*r.
2*(r - 1)*(r + 1)/7
Suppose -9*x = -8*x - 2. Determine t,