 0*f**2 + 1/2*f + 0 - x*f**3 = 0. What is f?
-1, 0, 1
Let r(j) = -12*j**2 + 201*j + 144. Let v(t) = -6*t**2 + 101*t + 72. Let l(g) = -6*r(g) + 14*v(g). Suppose l(o) = 0. What is o?
-2/3, 18
Let z(v) be the second derivative of -v**4/16 - v**3/4 - v + 15. Find g, given that z(g) = 0.
-2, 0
Let b(t) be the first derivative of 5/4*t**4 - 6 - 30*t + 0*t**3 - 35/2*t**2. Suppose b(o) = 0. Calculate o.
-2, -1, 3
Suppose -12 = -5*w - 32. Let p be w/(-6)*15/35. Suppose 2/7*u**4 - p*u**5 - 2/7*u - 4/7*u**2 + 4/7*u**3 + 2/7 = 0. What is u?
-1, 1
Let 0*i**2 + 0*i + 0 - 8/9*i**3 + 2/9*i**4 = 0. Calculate i.
0, 4
Suppose -6 = -22*q + 19*q. Suppose 253*t**3 - 6 + 11*t**2 - 220*t**3 - 5*t**2 + 3*t + 27*t**q + 9*t**4 = 0. Calculate t.
-2, -1, 1/3
Factor 122*j**2 - 56*j**2 - 66*j**2 - 8*j + 2*j**3.
2*j*(j - 2)*(j + 2)
Let m(u) = -2*u**4 + 10*u**3 + 4*u**2 + 4*u - 8. Let s(y) = 2*y**4 - 9*y**3 - 2*y**2 - 3*y + 6. Let h(n) = 3*m(n) + 4*s(n). Factor h(o).
2*o**2*(o - 2)*(o - 1)
Suppose -5*n = -a - 25, -5 - 10 = -3*a. Let s be (-6)/(-4)*8/n. Find z such that -s*z**5 + 6*z**3 + 2*z**5 - z**5 + 4*z**2 - z**5 = 0.
-1, 0, 2
Let u be -3*(-1 + 77/126). What is c in -1/3*c - u*c**2 + 0 = 0?
-2/7, 0
Let c = -17 - -191/11. Factor c + 2/11*o**2 + 6/11*o.
2*(o + 1)*(o + 2)/11
Factor -5/2*c**4 + 9/2*c**2 - 1/2*c**5 + 0*c - 3/2*c**3 + 0.
-c**2*(c - 1)*(c + 3)**2/2
Let q(h) = h**3 - 11*h**2 - 24*h + 7. Let c be q(-2). Factor 4/9*a**c - 4/9*a + 0*a**2 + 2/9 - 2/9*a**4.
-2*(a - 1)**3*(a + 1)/9
Let k(r) be the first derivative of 1 + 0*r**2 + 4*r - 1/6*r**3 + 1/24*r**4. Let h(p) be the first derivative of k(p). Factor h(m).
m*(m - 2)/2
Let p(b) = -26*b + 129. Let i be p(5). Let l be (i/(-6))/((-6)/(-4 - 8)). Factor -1/9*c - 1/3*c**2 - 1/9*c**4 + 0 - l*c**3.
-c*(c + 1)**3/9
Let j be 6 - (2 - 3 - -4). Suppose 3*f = 2*f + 3. Factor 4*v**f - 3*v**3 - 2*v**j + 2*v**3 - v.
v*(v - 1)*(v + 1)
Let f(b) = -b**3 + 6*b**2 - b - 4. Let g be f(4). Suppose -q + g = 3*q. Factor -2*c**4 - 4*c**2 + q*c**3 - 2*c**4 + c**4 + c**2.
-3*c**2*(c - 1)**2
Let d(u) = -u**3 + 9*u**2 - 8*u + 5. Let f(w) = w**3 - 8*w**2 + 7*w - 4. Let i(p) = 4*d(p) + 5*f(p). Suppose i(h) = 0. Calculate h.
0, 1, 3
Let b = 391 + -128. Let k = b - 261. Suppose -1/4*v**k + 0 + 3/4*v**3 - 1/2*v = 0. What is v?
-2/3, 0, 1
Let l = -139 + 1531/11. Solve -6/11 + 8/11*m - l*m**2 = 0.
1, 3
Find t such that -1/2*t - 7/8*t**4 + 2*t**2 - 5/8*t**3 + 0 = 0.
-2, 0, 2/7, 1
Let r(w) = w**2 - 11*w - 8. Let v(i) = -10*i - 8. Let l = 23 - 21. Let u(k) = l*r(k) - 3*v(k). Factor u(t).
2*(t + 2)**2
Suppose -3*r + 29 = -19. Let -6*c**2 - r*c + 20*c**3 + 15*c**2 - 4*c**2 + 27*c**2 = 0. What is c?
-2, 0, 2/5
Let l(h) be the second derivative of h**7/56 + h**6/40 - 3*h**5/16 - h**4/16 + h**3 - 3*h**2/2 + 126*h. Solve l(f) = 0.
-2, 1
Let i(t) be the second derivative of 3/5*t**6 - 2 + 332/3*t**4 + 400*t**2 - 1120/3*t**3 - 3*t + 84/5*t**5. Factor i(p).
2*(p + 10)**2*(3*p - 2)**2
Let x(g) be the second derivative of -g**9/75600 + g**8/11200 - g**7/6300 - 4*g**4/3 + 17*g. Let f(v) be the third derivative of x(v). Factor f(u).
-u**2*(u - 2)*(u - 1)/5
Let t = -4758 + 19047/4. Determine o so that -7/4*o + o**4 + 1/4 - 13/4*o**3 + t*o**2 = 0.
1/4, 1
Suppose -65/2*n + 100 + 5/2*n**2 = 0. What is n?
5, 8
Factor 9*g - 8*g**2 + 4*g**3 + 144 - 6*g**3 - 2*g**3 + 51*g.
-4*(g - 4)*(g + 3)**2
Suppose 21 = -5*w + 1. Let n(c) = c**4 + 14*c**3 + 42*c**2 + 78*c + 57. Let q(a) = -a**3 + a**2 + a - 1. Let i(p) = w*n(p) - 12*q(p). Factor i(o).
-4*(o + 2)*(o + 3)**3
Suppose -15 + 3 = -2*g - 4*x, 5*x = 4*g - 24. Let h(w) be the third derivative of 0*w - 1/720*w**g + 0 + 0*w**4 + 0*w**5 + 0*w**3 + w**2. Factor h(j).
-j**3/6
Let m(l) be the second derivative of 1/40*l**6 + 0*l**2 + 0 + 1/4*l**3 - 3/16*l**4 + 0*l**5 - 14*l. What is h in m(h) = 0?
-2, 0, 1
Let v(y) be the first derivative of -2*y**5/15 - 7*y**4/12 - y**3/9 + 7*y**2/6 + y + 72. Find a such that v(a) = 0.
-3, -1, -1/2, 1
Let r(f) = -9*f**2 + f. Let p be r(1). Let l be p/(-6) + 1/6. Factor 3*m**4 + 0 - 3/2*m + 0*m**3 - 3*m**2 + l*m**5.
3*m*(m - 1)*(m + 1)**3/2
Let s = 4517 + -22714/5. Let x = 391/15 + s. Factor -x*v + 2/15 + 2/15*v**2.
2*(v - 1)**2/15
Let c(k) = 4*k**3 + 9*k**2 - 6*k - 11. Let r(n) = -3*n**3 - 8*n**2 + 5*n + 10. Let u(d) = -4*c(d) - 5*r(d). Determine x, given that u(x) = 0.
-1, 2, 3
Let x be (-2 - (2 - 4)) + 3. Suppose -4*t = -8 - 0. Factor -i - i**x - 5*i + 8*i - i**t.
-i*(i - 1)*(i + 2)
Find c such that 48 + 45*c**2 - 53*c**2 + 68*c + 24*c = 0.
-1/2, 12
Let f(l) be the third derivative of l**8/840 + 8*l**7/525 + 11*l**6/150 + 14*l**5/75 + 17*l**4/60 + 4*l**3/15 + 4*l**2 - 2. Find a such that f(a) = 0.
-4, -1
Let h(o) be the second derivative of 0*o**2 + 1/90*o**5 + 11*o + 0 + 1/27*o**3 - 1/27*o**4. Factor h(v).
2*v*(v - 1)**2/9
Let t be 2/8 - (-84)/48. Let s = -3 + 7. Factor -4*h - 3*h**t + s*h + 2*h + 4*h.
-3*h*(h - 2)
Let w(p) be the second derivative of p**5/120 - p**4/24 + p**3/12 - p**2/12 + 72*p. Factor w(d).
(d - 1)**3/6
Suppose 6*h - 24 = 2*h. Let v = 0 + h. Let -40*z + 4*z**2 - 18 - 13*z**5 + 12*z**4 + 58*z**3 + 2 - 11*z**5 + v*z**5 = 0. What is z?
-1, -2/3, 1, 2
Suppose 46*b + 32/3*b**2 + 2/3*b**3 + 36 = 0. Calculate b.
-9, -6, -1
Suppose 0 = 5*w - 3*w - 262. Solve w*a**2 + 3 - 16*a - 127*a**2 + 9 = 0.
1, 3
Let t(y) be the third derivative of 11*y**7/630 - 97*y**6/360 - 83*y**5/60 - 163*y**4/72 - 11*y**3/9 + 6*y**2 + 15. Suppose t(o) = 0. What is o?
-1, -2/11, 11
Let u = -2190 - -2192. Factor -6/5*a**u + 2/5*a**3 - 2/5*a + 6/5.
2*(a - 3)*(a - 1)*(a + 1)/5
Let -4/3*w**3 - 4/3*w**4 + 0 - 20*w + 68/3*w**2 = 0. Calculate w.
-5, 0, 1, 3
Let h be (-2 - 372/(-210))/(7/(-35)). Factor -10/7*n**3 + 2/7*n**5 + 2/7*n**2 + h - 2/7*n**4 + 16/7*n.
2*(n - 2)**2*(n + 1)**3/7
Suppose 8*b**2 - 5*b - 7*b - 24*b**2 - 31*b**3 + 25*b**5 - 36*b**2 + 70*b**4 = 0. Calculate b.
-3, -2/5, 0, 1
Suppose -5*f**4 - 2*f**3 + 4*f - f**4 + 7*f**4 - 3*f**2 + 4 = 0. Calculate f.
-1, 2
Let f = -3/103 + 112/309. Let q(u) be the first derivative of f*u**3 + 0*u + 0*u**2 + 3. Let q(h) = 0. Calculate h.
0
Let d(o) be the second derivative of o**7/14 - 3*o**6/10 - 3*o**5/10 + 3*o**4 - 4*o**3 - o + 17. Suppose d(v) = 0. Calculate v.
-2, 0, 1, 2
Factor -2*q**3 + 10*q**2 - 392*q + 20*q**2 + 26*q**2.
-2*q*(q - 14)**2
Let g = -52 + 109. Let v = g + -55. Factor -2/9*m**4 + 4/9*m**v + 0*m + 0 - 2/9*m**3.
-2*m**2*(m - 1)*(m + 2)/9
Let k = -328 - -331. Let r(d) be the second derivative of -4/3*d**2 + 4/9*d**k - 1/18*d**4 + 0 - 2*d. Find i, given that r(i) = 0.
2
Let u = 10247/30 + -681/2. Let t(d) be the second derivative of u*d**6 + 2/5*d**5 + 5*d + 0 - 11/3*d**3 - 2*d**2 + 1/3*d**7 - 7/3*d**4. Factor t(r).
2*(r - 1)*(r + 1)**3*(7*r + 2)
Let z = 1/1419 + 469/5676. Let w(s) be the first derivative of -z*s**3 - 1/8*s**2 + 0*s - 3. Factor w(g).
-g*(g + 1)/4
Suppose -85 - 5*i - 188*i**2 + 343*i**2 - 70 + 2*i**3 + 3*i**3 = 0. Calculate i.
-31, -1, 1
Let f = -8/83 + 281/332. Let -1/4*n**4 + 1/4*n**5 + 0 + 1/4*n**2 + 1/2*n - f*n**3 = 0. Calculate n.
-1, 0, 1, 2
Let w(x) = -x + 20. Let v(t) = 2*t - 39. Let u(k) = -6*v(k) - 11*w(k). Let j be u(11). Find c such that -c**2 - c**2 - c**5 - 4*c**4 - 8*c**j + 3*c**3 = 0.
-2, -1, 0
Let t(m) be the second derivative of -m**8/26880 + m**7/5040 - m**6/2880 - m**4/4 - 6*m. Let u(o) be the third derivative of t(o). Factor u(p).
-p*(p - 1)**2/4
Suppose 0 - 7/5*t**4 + 0*t**2 + 18/5*t**3 - 1/5*t**5 + 0*t = 0. What is t?
-9, 0, 2
Let z = -4547/118 + 77/2. Let w = z + 380/767. Find l, given that 0 + w*l**2 - 6/13*l**5 + 4/13*l - 14/13*l**4 - 6/13*l**3 = 0.
-1, 0, 2/3
Factor 2/5*j**3 - 32/5*j + 2/5*j**2 - 32/5.
2*(j - 4)*(j + 1)*(j + 4)/5
Suppose 5*l - 2*t - 31 - 4 = 0, -5*t = 0. Suppose 5*c = -a - 12, 2*a = 2*c + 5 + l. Solve 5*j + j**a + j - 7*j + 2*j + 2*j**2 = 0.
-1, 0
Let t = 66 + -100. Let z = t - -34. Factor 0*h + z - 4/17*h**2 + 6/17*h**3 - 2/17*h**4.
-2*h**2*(h - 2)*(h - 1)/17
Let w be (-3)/11 + 94/22. Find r such that 3/2*r**3 + r**2 + 1/2*r**w + 0 + 0*r = 0.
-2, -1, 0
Let l(n) = -n**2 + 16*n - 15. Suppose 71 = 5*a - 4. Let h be l(a). Determine b, given that -b**3 - 5*b**2 + 1 + b + 4*b**2 + 0*b**3 + h*b = 0.
-1, 1
Suppose t - 17*n = -22*n - 18, -2*t = -4*n - 20. Factor 18/7 + 0*m**t - 3*m + 3/7*m**3.
3*