j = 0. What is j?
-1
Let b(l) be the third derivative of 0*l - 3/140*l**6 + 0*l**3 - l**2 + 1/21*l**4 + 0 + 0*l**5. Factor b(r).
-2*r*(3*r - 2)*(3*r + 2)/7
Suppose -1 = i - 3*l - 0, 0 = 3*i - 3*l - 3. Suppose -3*f = -x - 14, -2*f - 3 = i*f + 3*x. Let f*y - 7*y - 1 + 1 - 2*y**2 - 2 = 0. What is y?
-1
Let q = -8 - -10. Factor 10*h - 7*h**2 - 23 + h**q + 19.
-2*(h - 1)*(3*h - 2)
Let i(b) be the third derivative of -2*b**7/105 - b**6/30 + b**5/5 + b**4/6 - 4*b**3/3 - b**2. Find x such that i(x) = 0.
-2, -1, 1
Find n, given that 2/3*n + n**3 + 0 - 1/3*n**5 - 1/3*n**4 + 5/3*n**2 = 0.
-1, 0, 2
Solve -12*o**2 + 11*o**2 - 9*o + 4*o**2 = 0 for o.
0, 3
Let v(j) = -j**3 - 6*j**2 + 8*j + 10. Let k be v(-7). Solve -3*u**3 + u**k + u**3 - u**2 + u**5 + u**4 = 0 for u.
-1, 0, 1
Let a(k) be the third derivative of -3/175*k**7 + 0*k**4 + 0*k + 0*k**3 - 3*k**2 + 0 - 1/150*k**5 + 1/50*k**6. Let a(x) = 0. Calculate x.
0, 1/3
Let s(k) = k**2 + 7*k + 3. Let q be s(-7). Suppose 5*t = -2*p + 8, -q = -p + 1. Factor 1/4*j**2 + 1/4*j + t.
j*(j + 1)/4
Let t(m) be the third derivative of 0 + 2*m**3 - 147/40*m**6 + 0*m - 5*m**4 + 133/20*m**5 - 3*m**2. Determine d so that t(d) = 0.
2/7, 1/3
Let i(f) = -f**2 + 19*f - 90. Let r be i(10). Suppose 2/5*m**5 - 2/5*m**4 + r*m**3 + 0 + 0*m**2 + 0*m = 0. What is m?
0, 1
Let w(z) be the second derivative of z**4/42 - z**2/7 + z. Solve w(b) = 0.
-1, 1
Let p be -3 - -1 - (4 - 11). Suppose 2*i = -r + 4 + 2, 8 = -r + p*i. Determine n so that 0*n**5 + r*n**3 + n**5 - 3*n**5 = 0.
-1, 0, 1
Suppose 2*j + 10 = 4*j. Factor l**2 + l - j*l + 3*l - 2.
(l - 2)*(l + 1)
Factor 9*h**2 + 9*h + 6*h**2 - 4 - 2.
3*(h + 1)*(5*h - 2)
Let d be (-2)/6 - (-38)/6. Suppose 8 = -2*l + d*l. Factor -2*j + 4*j**3 + 0 + 0*j - l*j - 2 + 2*j**4.
2*(j - 1)*(j + 1)**3
Let j = 239 - 236. Let f be (26/3 + -2)/6. Factor 0 - 2/9*p**2 + 16/9*p**j - f*p**4 - 4/9*p.
-2*p*(p - 1)**2*(5*p + 2)/9
Factor 2/9*j**5 + 0*j**3 - 2/9*j + 0 - 4/9*j**4 + 4/9*j**2.
2*j*(j - 1)**3*(j + 1)/9
Suppose -36 = -7*s + s. Let d(c) be the third derivative of -3/8*c**4 - c**3 + 0*c + 0*c**5 + 1/40*c**s + 0 - 3*c**2. Factor d(b).
3*(b - 2)*(b + 1)**2
Find b such that 1/6*b**3 - 11/6*b - 2/3*b**2 - 1 = 0.
-1, 6
Solve i**2 + 0 + 1/2*i**3 + 1/2*i = 0 for i.
-1, 0
Let a(r) be the first derivative of 0*r**2 + 0*r - 1/4*r**4 - 2/3*r**3 + 2. Factor a(o).
-o**2*(o + 2)
Let g = -11 - -13. Suppose -6*k = -g*k. Factor 4/3*z - 2/3 + 2/3*z**4 - 4/3*z**3 + k*z**2.
2*(z - 1)**3*(z + 1)/3
Let t(i) be the third derivative of i**8/8400 + i**7/1400 + i**6/600 + i**5/600 - i**3 + 9*i**2. Let h(f) be the first derivative of t(f). Factor h(p).
p*(p + 1)**3/5
Let c = -58 - -60. Let 2/3*k + 2/3*k**c + 0 = 0. What is k?
-1, 0
Let c(v) be the second derivative of 5*v**4/12 + 10*v**3/3 - 25*v**2/2 - 25*v. Factor c(d).
5*(d - 1)*(d + 5)
Let w(c) = 20*c**2 - 29*c - 12. Let q(t) = t**2 - t. Let u be -1 - (-2 + -1)*2. Let p(j) = u*q(j) - w(j). Factor p(y).
-3*(y - 2)*(5*y + 2)
Let j(l) be the second derivative of -2/3*l**3 + 0*l**2 - 6/5*l**6 - 7/3*l**4 + 0 - 3*l**5 - 8*l. Find f, given that j(f) = 0.
-1, -1/3, 0
Let y(k) = k**3 - 4*k**2 + k - 1. Let d be y(4). Factor 0*i - i + 4*i - d*i**3 + 0*i**2 + 3*i**4 - 3*i**2.
3*i*(i - 1)**2*(i + 1)
Let u = 8 - 6. Suppose 5*b + 10 = u*w + 3*b, 6 = 3*b. Determine l, given that w*l**2 - 5*l**2 - 2 + 2 + 2*l**4 + 4*l**3 = 0.
-1, 0
Let n(x) be the first derivative of x**7/945 + x**6/135 + x**5/54 + x**4/54 + x**2/2 + 2. Let q(p) be the second derivative of n(p). Factor q(i).
2*i*(i + 1)**2*(i + 2)/9
Determine y so that -10/7 + 8/7*y + 2/7*y**2 = 0.
-5, 1
Suppose 6*m**2 - 40/3*m + 8/3 = 0. Calculate m.
2/9, 2
Let y = 18 + -16. Solve -2*p**2 - 1 + 3 - 3*p - 4*p**3 + 5*p + y*p**3 = 0.
-1, 1
Let n(d) be the second derivative of -5*d**9/1512 + d**8/120 - d**7/210 + d**3/6 + d. Let u(j) be the second derivative of n(j). Suppose u(i) = 0. What is i?
0, 2/5, 1
Let i be (-2)/(-4)*(3 + 4 + -7). Determine h so that i + 0*h**3 - 2/3*h**5 + 2/3*h + 4/3*h**2 - 4/3*h**4 = 0.
-1, 0, 1
Let v be (8 - 20/5)*1. Suppose v*m + 4 = 4*k, -5*k + 2 = m - 3*k. Factor m + 2/3*h**3 + 4/3*h**4 + 2/3*h**5 + 0*h + 0*h**2.
2*h**3*(h + 1)**2/3
Let u(g) = g**5 - g**3 + g**2 - g + 1. Let s(m) = -6*m**5 - 8*m**4 + 2*m**3 + 5*m**2 + 7*m - 3. Let b(v) = -s(v) - 3*u(v). Solve b(c) = 0.
-2, -1, -2/3, 0, 1
Let h = -12 - -17. Factor 2*x**2 - h*x - x + 4*x.
2*x*(x - 1)
Factor -8/5 + 6/5*v**2 - 8*v - 98/5*v**4 + 28*v**3.
-2*(v - 1)**2*(7*v + 2)**2/5
Factor 0*n**3 + 0*n + 0 + 1/5*n**4 - 1/5*n**2.
n**2*(n - 1)*(n + 1)/5
Factor 0*b**3 - 2*b**3 - b**2 - b**3 - 2*b**4 + 0*b**4.
-b**2*(b + 1)*(2*b + 1)
Suppose 4*j + 8*i - 3*i = -16, 0 = -3*j - 2*i - 5. Let r = -1 + j. Find a such that -1/3*a**2 + 1/3*a**3 + 0 + r*a = 0.
0, 1
Let h be 3*(-40)/72 + (-3)/(-1). Suppose -4/3*t**4 + 1/3*t + 1/3*t**5 - h*t**2 + 0 + 2*t**3 = 0. Calculate t.
0, 1
What is s in 2/7*s - 2/7*s**3 - 2/7*s**2 + 0 + 2/7*s**4 = 0?
-1, 0, 1
Let l(v) be the third derivative of v**7/350 + v**6/100 - v**4/20 - v**3/10 + 3*v**2. Factor l(s).
3*(s - 1)*(s + 1)**3/5
Let x(z) be the second derivative of 3*z**5/50 - 3*z**4/20 + 2*z**3/15 + z**2/2 - 2*z. Let m(d) be the first derivative of x(d). What is p in m(p) = 0?
1/3, 2/3
Factor 1/2*c**4 + 1/4*c**3 - 3/4*c**2 + 1/4 - 1/4*c.
(c - 1)*(c + 1)**2*(2*c - 1)/4
Let j(f) be the third derivative of -f**6/48 + f**5/24 + 5*f**4/24 - 6*f**2. Factor j(s).
-5*s*(s - 2)*(s + 1)/2
Let q(c) = 2*c**2 - 2*c - 5 + 2 - 3*c**2 - 1. Let s(j) = j**2 + j + 4. Suppose -10 = -2*g + 2. Let y(h) = g*q(h) + 4*s(h). Let y(a) = 0. What is a?
-2
Let u = -13 - -15. Find i, given that -i**2 - u*i + i + 0*i + 2*i**2 = 0.
0, 1
Let t(u) be the second derivative of 1/12*u**3 + 0*u**5 + 1/120*u**6 + 0*u**2 + 0 - 2*u - 1/16*u**4. Suppose t(g) = 0. What is g?
-2, 0, 1
Let j(s) be the third derivative of -2*s**5/105 + 5*s**4/14 - 2*s**3/3 - 18*s**2. Factor j(n).
-4*(n - 7)*(2*n - 1)/7
Let z(x) be the third derivative of 0*x**6 - 1/280*x**7 + 0*x**4 + 1/80*x**5 - 5*x**2 + 0*x + 0 + 0*x**3. Solve z(u) = 0.
-1, 0, 1
Let t(x) = -6*x**2 - 6*x + 6. Let i(d) = -13*d**2 - 13*d + 11. Let o(l) = -2*i(l) + 5*t(l). Factor o(b).
-4*(b - 1)*(b + 2)
Let t(s) be the second derivative of s**7/105 - 4*s**6/75 - 4*s**5/25 + 32*s**4/15 - 112*s**3/15 + 64*s**2/5 - 4*s - 2. Solve t(d) = 0 for d.
-4, 2
Suppose 10 = c + 8. Let a = -167/6 + 28. Factor -a*o**c + 0*o + 1/6*o**3 + 0.
o**2*(o - 1)/6
Let j = -108 + 1511/14. Let n = j - -4/7. Factor -2*z - n*z**2 - 2.
-(z + 2)**2/2
Let j(g) be the third derivative of 2*g**2 + 0 + 1/672*g**8 + 0*g**3 + 1/48*g**4 + 1/105*g**7 + 1/30*g**5 + 0*g + 1/40*g**6. Solve j(s) = 0 for s.
-1, 0
Let d(q) be the third derivative of 0*q**4 + 0*q + 1/10*q**5 + 7/64*q**8 + 9/20*q**7 + 0*q**3 + 3/8*q**6 + 0 - 3*q**2. Suppose d(w) = 0. What is w?
-2, -2/7, 0
Let d(u) be the second derivative of -u**7/231 - 4*u**6/165 - 3*u**5/55 - 2*u**4/33 - u**3/33 - 7*u. Factor d(j).
-2*j*(j + 1)**4/11
Let n(w) be the third derivative of w**6/300 + 2*w**2. What is o in n(o) = 0?
0
Let j(l) be the second derivative of -1/60*l**5 + l + 0*l**4 + 1/6*l**3 + 1/3*l**2 + 0. Determine t so that j(t) = 0.
-1, 2
Let a(k) = -6*k**4 - 2*k**3 + 8*k**2 + 2*k + 2. Let p(u) = -13*u**4 - 3*u**3 + 16*u**2 + 5*u + 5. Let h(l) = -5*a(l) + 2*p(l). Let h(q) = 0. What is q?
-2, 0, 1
Suppose 0 = -t + b + 7, -3*t + 2*b - 6 = -24. Let p(d) be the first derivative of 1 + 0*d + 0*d**3 + 0*d**2 - 1/15*d**5 + 0*d**t. Solve p(a) = 0 for a.
0
Let a(s) be the second derivative of 1/10*s**6 + 0 + 0*s**2 + 1/2*s**3 + 3*s + 3/4*s**4 + 9/20*s**5. Let a(y) = 0. What is y?
-1, 0
Suppose -3*b = 3*f, 2*f + 0*f + b = 1. Suppose 3 = 2*r - f. Determine u so that 4*u - u**2 + 3*u + 2 - 6*u - r*u = 0.
-2, 1
Let h(b) be the first derivative of -6*b**3/7 + 16*b**2/7 + 8*b/7 + 8. Suppose h(q) = 0. Calculate q.
-2/9, 2
Let t = 4 - 2. Let q(y) be the third derivative of 1/75*y**5 - t*y**2 - 1/60*y**4 + 0 - 1/15*y**3 + 0*y - 1/525*y**7 + 1/150*y**6 - 1/840*y**8. Factor q(u).
-2*(u - 1)**2*(u + 1)**3/5
Suppose 0 = -8*o + 6*o + 4. Let h(k) be the first derivative of -2/3*k**3 + o + 0*k - 2*k**2. Let h(b) = 0. Calculate b.
-2, 0
Let s(o) be the second derivative of 3*o - 2/5*o**5 + 0 - 1/2*o**3 + 2/5*o**6 - 7/8*o**4 + 3/2*o**2. Let p(d) b