 0*a - 2/3*a**2 + u = 0. What is a?
0, 1
Let l(m) = -5*m - 4. Let f be l(-2). Let y(r) be the third derivative of -1/18*r**4 + 0 + 11/90*r**5 + 0*r**3 + 0*r - 1/20*r**f - r**2. Factor y(j).
-2*j*(j - 1)*(9*j - 2)/3
Let f = -5/21 + 19/21. Factor -2/3 - f*c**2 - 4/3*c.
-2*(c + 1)**2/3
Let j be 551/145 + 2/10. Factor -j*n + 0 + 4/3*n**2.
4*n*(n - 3)/3
Let q be 15/4 + (6 - 23/4). Let 2/9*a**3 + 0 + 0*a + 4/9*a**q + 0*a**2 + 2/9*a**5 = 0. What is a?
-1, 0
Let v(p) be the second derivative of -p**4/30 + 4*p**2/5 - p + 16. Factor v(u).
-2*(u - 2)*(u + 2)/5
Let v(i) = i**2 + 9*i - 8. Let m be v(-10). Let -2*g**5 + 6*g**3 - g**2 - 4*g**3 - 5*g**2 + 2*g**4 + 4*g**m = 0. What is g?
-1, 0, 1
Let i = 323 + -9689/30. Let t(o) be the second derivative of -1/2*o**2 - 2/3*o**3 - 1/2*o**4 + 0 + 3*o - i*o**6 - 1/5*o**5. Let t(g) = 0. Calculate g.
-1
Find b such that -30*b**2 - 5*b**5 + 15*b**4 + 14*b**3 + 105 - 7*b**3 - 5*b - 90 + 3*b**3 = 0.
-1, 1, 3
Suppose 0 = y - 0*y - 3*y. Suppose 0*d + 2/3*d**5 + y*d**2 + 0 - 2/3*d**3 + 0*d**4 = 0. What is d?
-1, 0, 1
Let q(z) be the third derivative of -1/30*z**4 + 0*z + 0*z**3 + 0 + 1/150*z**5 - 5*z**2. Factor q(k).
2*k*(k - 2)/5
Let f(b) = 2*b**3 - b**2 - b. Let q = 1 + 2. Let k = -21 + 23. Let s(c) = -2*c**3 + 2*c**2. Let x(v) = k*f(v) + q*s(v). Determine r so that x(r) = 0.
0, 1
Suppose -5*s + 3*s = -6. Factor -3*h**3 - 77*h + 81*h - h**s + 4*h**4 - 2 - 2*h**4.
2*(h - 1)**3*(h + 1)
Let h(t) be the first derivative of t**4/16 + t**3/4 - 7. Let h(s) = 0. Calculate s.
-3, 0
Let y = 6 - 3. Let p be y/(-9)*-3 + 2. Factor l - 4*l**5 - l**2 - 11*l**4 - p*l**3 + 0*l**2 - 6*l**3.
-l*(l + 1)**3*(4*l - 1)
Let h(p) be the third derivative of 6*p**2 + 0 + 0*p**3 + 0*p - 7/20*p**5 - 1/4*p**4 + 9/40*p**6. Find m such that h(m) = 0.
-2/9, 0, 1
Suppose -2/7*m - 2/7*m**2 + 2/7*m**3 + 0 + 2/7*m**4 = 0. What is m?
-1, 0, 1
Let s(c) be the first derivative of c**8/336 + 2*c**7/105 + c**6/20 + c**5/15 + c**4/24 + 7*c**2/2 - 1. Let u(y) be the second derivative of s(y). Factor u(q).
q*(q + 1)**4
Let b = 5 + -3. Factor -1 - 2 + 5 - b*m**2.
-2*(m - 1)*(m + 1)
Let u(z) be the first derivative of -7/4*z**2 - 1 + 1/3*z**3 + 1/8*z**4 + 2*z. Determine a, given that u(a) = 0.
-4, 1
Let m(j) = 27*j**3 + 36*j**2 + 12*j. Let l(t) = 18*t**3 + 24*t**2 + 8*t. Let s(x) = -7*l(x) + 5*m(x). Determine f, given that s(f) = 0.
-2/3, 0
Let q = 13 - 11. Let t be ((-1)/10)/(q/(-25)). Find o, given that -1/2 + 1/2*o**2 + 5/4*o**3 - t*o = 0.
-1, -2/5, 1
Let v(c) be the first derivative of c**4/10 + 26*c**3/15 + 12*c**2/5 + 53. Let v(h) = 0. What is h?
-12, -1, 0
Suppose -3*h**2 - 2 + 3*h + 2 + 3 + 3 = 0. Calculate h.
-1, 2
Let -4/3*n**3 + 0*n + 4/3*n**2 + 1/3*n**4 + 0 = 0. Calculate n.
0, 2
What is y in -205 + 4*y - 6*y**3 + 205 + 2*y**2 = 0?
-2/3, 0, 1
Let l(t) be the first derivative of 1/8*t**4 - 3 - 1/4*t**2 + 0*t + 0*t**3. Factor l(w).
w*(w - 1)*(w + 1)/2
Let t = 1106/5 - 221. Factor -t*u**2 - 2/5*u - 1/5.
-(u + 1)**2/5
Let u(b) be the first derivative of b**7/1260 + b**6/135 + b**5/36 + b**4/18 + 2*b**3/3 - 1. Let t(w) be the third derivative of u(w). Factor t(q).
2*(q + 1)**2*(q + 2)/3
Let d(t) be the first derivative of -t**4/30 - 2*t**3/15 - t**2/5 + 2*t + 2. Let h(m) be the first derivative of d(m). Factor h(n).
-2*(n + 1)**2/5
Let l(b) = -b - 10. Suppose 2*f - 12 = h, 4*h = 8*h - 4*f + 48. Let q be l(h). Factor 2/5*g**5 + 6/5*g + 0*g**4 - 8/5*g**3 - 4/5*g**q + 4/5.
2*(g - 2)*(g - 1)*(g + 1)**3/5
Let l(k) be the third derivative of 9*k**8/280 + 99*k**7/175 + 159*k**6/50 + 383*k**5/75 + 47*k**4/12 + 5*k**3/3 - 18*k**2. Let l(y) = 0. Calculate y.
-5, -1/3
Let v(i) = -i**3 + 4*i - 3. Let u be v(1). Let m(z) be the first derivative of -1/21*z**6 - 1/7*z**2 + 0*z**3 + 3 + 0*z**5 + 1/7*z**4 + u*z. Factor m(y).
-2*y*(y - 1)**2*(y + 1)**2/7
Let l = 826 - 823. Suppose 0*u - 1/3*u**4 + 0*u**2 + 0 + 0*u**l = 0. What is u?
0
Let k(d) be the first derivative of 0*d + 1 + 3/2*d**4 + 2/3*d**3 + 0*d**2. Factor k(a).
2*a**2*(3*a + 1)
Factor -73*w**3 - 2*w**2 + 70*w**3 - 4*w**4 + 3*w**4.
-w**2*(w + 1)*(w + 2)
Let d be (-4)/(-10) - (4 + (-24)/5). What is z in 0 + 0*z + d*z**3 - 4/5*z**2 - 2/5*z**4 = 0?
0, 1, 2
Solve -2/3*i**4 - 8/9 + 14/9*i**2 + 2/9*i**3 - 2/9*i**5 + 0*i = 0.
-2, -1, 1
Let d be ((-35)/(-15) - 3)*-6. Suppose 8/3*r**2 + 2/3*r - 4/3*r**d - 4/3 + 2/3*r**5 - 4/3*r**3 = 0. What is r?
-1, 1, 2
Let q(p) = -7*p**2 + 3*p + 6. Let g(u) = 15*u**2 - 6*u - 12. Let b(m) = 4*g(m) + 9*q(m). Suppose b(k) = 0. What is k?
-1, 2
What is t in -1/2*t**2 - 1/2*t**3 + 0 + 0*t + 1/2*t**5 + 1/2*t**4 = 0?
-1, 0, 1
Let c(b) be the second derivative of -b**5/20 + b**4/2 - 3*b**3/2 + 2*b**2 + 5*b. Solve c(p) = 0 for p.
1, 4
Let h = -888 - -6222/7. Solve h*d**2 - 2/7*d**4 - 4/7 - 2/7*d**3 + 2/7*d = 0.
-2, -1, 1
Let z be 3 - 3/(6 + -3). Factor -2*p + 0*p**2 + 3*p**z - 5*p**2.
-2*p*(p + 1)
Let p be (-6704)/(-12)*(-15)/36. Let u = 233 + p. Factor 4/9*t**2 + 0*t - 2/9 + 0*t**3 - u*t**4.
-2*(t - 1)**2*(t + 1)**2/9
Suppose -2*z + 5*j = 14, -5*z + j + 27 = 4*j. Factor 0 - 12/5*f - 12/5*f**2 - 3/5*f**z.
-3*f*(f + 2)**2/5
Suppose 5*u - 17 = -2. Determine p so that -2*p**5 - 5*p**4 - u + 6*p**2 + 2*p**3 + 2 + p - p**5 = 0.
-1, 1/3, 1
Let x(g) be the third derivative of -g**6/70 - 13*g**5/140 - 3*g**4/56 - 3*g**2. What is c in x(c) = 0?
-3, -1/4, 0
Let n(f) = 19*f**2 - 5*f + 1. Let v(m) = 39*m**2 - 9*m + 2. Let l(i) = -7*n(i) + 3*v(i). Let l(h) = 0. What is h?
1/4
Let f(k) be the third derivative of -k**5/15 - k**4/3 - 5*k**2. Factor f(l).
-4*l*(l + 2)
Factor -5/3*l**2 + 1/6*l + 5/3 - 1/6*l**3.
-(l - 1)*(l + 1)*(l + 10)/6
Let a = 32 + -95/3. Let h(f) be the second derivative of -1/6*f**3 + a*f**2 + 0 - 1/3*f**4 + 2*f - 7/60*f**5. Find g, given that h(g) = 0.
-1, 2/7
Let t(x) be the second derivative of -x**6/30 - x**5/12 + 5*x**4/36 + 5*x**3/18 - x**2/3 - x. Determine u, given that t(u) = 0.
-2, -1, 1/3, 1
Let t(l) be the third derivative of 1/6*l**3 + 0 + 1/84*l**8 - 1/60*l**5 + 4*l**2 + 0*l + 0*l**7 + 1/8*l**4 - 7/120*l**6. Solve t(c) = 0 for c.
-1, -1/2, 1
Let g = -1 + 4. Solve 0*t**g + 2*t**3 + 0*t**3 = 0.
0
Let u be (17/3 + -7)/(20/(-6)). Factor u*k**3 - 2/5*k + 2/5*k**2 - 2/5.
2*(k - 1)*(k + 1)**2/5
Suppose 0 = -2*v + 2*u + 4, -2*v + 4 = 194*u - 195*u. Factor -2 - 3*q - 3/2*q**v - 1/4*q**3.
-(q + 2)**3/4
Let a be -1 - -10 - (-5 - -2)/(-1). Let o(w) be the first derivative of 32/3*w**3 - 7*w**4 - 9*w**2 + 2 + 12/5*w**5 - 1/3*w**a + 4*w. Let o(l) = 0. Calculate l.
1, 2
Let t(v) be the third derivative of 1/112*v**8 + 0*v**3 - 1/60*v**6 + 5*v**2 + 0 - 2/105*v**7 - 1/24*v**4 + 0*v + 1/15*v**5. Factor t(s).
s*(s - 1)**2*(s + 1)*(3*s - 1)
Suppose -4*i = -16 - 0. Suppose -2*f**4 + f**2 + 0*f**4 + f**i = 0. What is f?
-1, 0, 1
Let h(l) be the third derivative of l**6/960 - l**5/480 - l**4/48 + l**3/12 + 30*l**2. Factor h(b).
(b - 2)*(b - 1)*(b + 2)/8
Let p be (-16)/(-32) - (-9)/2. Suppose -8/5*g + 0 - 8/5*g**2 - 6*g**p + 38/5*g**3 + 8/5*g**4 = 0. What is g?
-1, -2/5, 0, 2/3, 1
Let k(z) be the second derivative of -z**4/24 - z**3/8 - 25*z. Determine v so that k(v) = 0.
-3/2, 0
Let v(y) = 54*y + 273. Let a be v(-5). Factor 0*u + 0*u**2 + 0*u**4 + 2/3*u**5 - 2/3*u**a + 0.
2*u**3*(u - 1)*(u + 1)/3
Suppose 2*i + 5*p - p = -4, 0 = -3*p - 6. Suppose -2*l - i = -6. Solve -2*t + t**3 - 6*t + 7*t**3 + l*t**2 - 2 = 0.
-1, -1/4, 1
Let x(m) be the third derivative of m**6/480 - m**5/80 + m**4/32 - m**3/24 + 8*m**2. Let x(y) = 0. Calculate y.
1
Let v(q) = -q**3 + q**2 + 2*q + 2. Let p(f) = 3*f**3 - 4*f**2 - 7*f - 7. Let o(r) = -6*p(r) - 21*v(r). Suppose o(h) = 0. Calculate h.
-1, 0
Find o such that 125/4 + 4*o**3 + 45/2*o**2 + 1/4*o**4 + 50*o = 0.
-5, -1
Let m(u) be the third derivative of 1/40*u**6 + 2*u**2 + 0*u**3 + 0*u + 1/8*u**4 + 1/10*u**5 + 0. Factor m(s).
3*s*(s + 1)**2
Let p = -39/4 - -41/4. Let v(t) be the first derivative of 3 - 2/3*t - 1/9*t**3 + p*t**2. Factor v(k).
-(k - 2)*(k - 1)/3
Let r(t) be the third derivative of -7*t**6/40 - 3*t**5/5 - 3*t**4/8 + t**3 - 5*t**2. Factor r(f).
-3*(f + 1)**2*(7*f - 2)
Suppose -3*v - 4*d = -38, 2*d - 15 = -d. Suppose 6 = 3*b, -2*b + 6 = 4*i - v. Factor 0 + 2/7*z + 2/7*z**i.
2*z*(z + 1)/7
Let k(s) = s**3 + 9*s**2 + 8*s + 2. Let x be k(-8). Suppose -25*j**4 - 5*j