2/3 + 2*b**2 - 20/3*b**3 = 0. What is b?
-7, 2
Suppose 70/3*g - 5/3*g**2 - 65/3 = 0. Calculate g.
1, 13
Suppose -3*j = -4*k + 14, j - k = -2*j - 17. Let f(n) = -1 + 7 - 17*n + 4 + 8*n**2 - 1. Let h(x) = -4*x**2 + 9*x - 5. Let s(v) = j*f(v) - 11*h(v). Factor s(z).
-(z - 1)*(4*z + 1)
Let b(y) = 3*y**5 - 2*y**4 + 7*y**3 - 3*y**2 - 5*y - 5. Suppose -f = 8 - 7. Let q(u) = -u**5 - u**3 + u**2 + u + 1. Let a(j) = f*b(j) - 5*q(j). Factor a(x).
2*x**2*(x - 1)*(x + 1)**2
Let q(l) be the first derivative of -5/6*l**6 - 18 - 5*l**3 - 10*l**2 + 0*l + 25/4*l**4 + 3*l**5. What is z in q(z) = 0?
-1, 0, 1, 4
Let d(q) = -6*q + 7. Let w(h) = -h. Let r(i) = d(i) - 5*w(i). Let g be r(4). Factor -3*z**3 + g*z + 202 - 202.
-3*z*(z - 1)*(z + 1)
Determine a so that -41*a**3 + 655*a**4 + 180*a**5 + 174*a**3 - 91*a**2 - 84*a**2 + 43*a**3 + 15*a + 109*a**3 = 0.
-3, -1, 0, 1/9, 1/4
Let v(k) be the second derivative of -k**8/8960 + k**7/5040 + k**6/960 - k**5/240 - k**4/4 - 11*k. Let i(w) be the third derivative of v(w). Solve i(s) = 0.
-1, 2/3, 1
Let i(u) be the third derivative of -3/100*u**6 + 0*u - 1/105*u**7 - 7/150*u**5 - 1/30*u**4 - 1/840*u**8 + 0*u**3 - 8*u**2 + 0. Factor i(l).
-2*l*(l + 1)**3*(l + 2)/5
Let n(l) = -l**2 + 13*l - 40. Let f be n(7). Suppose 0 + 3 = m. Factor -s**m + 5*s**3 - 4 - 3*s**2 + 13*s**f + 2*s.
2*(s + 1)*(s + 2)*(2*s - 1)
Suppose -25*z + 44 = -6. Let d(v) be the first derivative of 0*v - 4/33*v**3 + 3 + 1/22*v**4 + 0*v**z. Suppose d(c) = 0. Calculate c.
0, 2
Find z such that -75*z - 31*z - 33*z + 4*z**2 + 27*z - 116 = 0.
-1, 29
Let g = -12 + 14. Determine a so that -4*a + g*a**5 + 2*a**3 - 328 + 328 + 6*a**2 - 6*a**4 = 0.
-1, 0, 1, 2
Let j = -40 + 45. Let 24*g**3 + j*g**2 + 4*g**5 + g**2 - 20*g**4 - 6*g**2 = 0. Calculate g.
0, 2, 3
Factor 0*h**2 + 10*h**2 - 40 - 5*h**5 + 39*h**3 + 23*h**4 + 31*h**3 + 2*h**4 - 65*h + 5.
-5*(h - 7)*(h - 1)*(h + 1)**3
Let q(v) be the first derivative of -v**7/378 + v**6/270 + v**5/60 - 5*v**4/108 + v**3/27 - 16*v - 15. Let n(r) be the first derivative of q(r). Factor n(d).
-d*(d - 1)**3*(d + 2)/9
Let g(a) = 9*a**4 + 2*a**3 - 5*a**2 + 2*a + 2. Let t(z) = 49*z**4 + 10*z**3 - 26*z**2 + 11*z + 11. Let c(f) = 11*g(f) - 2*t(f). Factor c(m).
m**2*(m - 1)*(m + 3)
Let y(w) be the first derivative of 1/12*w**3 + 3/8*w**2 - 10 + 1/2*w. Factor y(d).
(d + 1)*(d + 2)/4
Let w = 221 + -205. Suppose 5*i = -3*p + 14 + w, 5*i + p = 20. Factor 2/5*a + 2/5*a**5 + 0 + 8/5*a**2 + 12/5*a**i + 8/5*a**4.
2*a*(a + 1)**4/5
Let l = 1271 + -1269. Factor 3/2*n**4 + 3*n + 6*n**3 + 15/2*n**l + 0.
3*n*(n + 1)**2*(n + 2)/2
Let -2/7*l**4 - 26/7*l**3 + 4*l**2 + 0 + 0*l = 0. Calculate l.
-14, 0, 1
Factor -3/7*v**3 + 1/7*v**4 - 5/7*v**2 + 0 - 2/7*v + 1/7*v**5.
v*(v - 2)*(v + 1)**3/7
Let c = -3242 - -3245. Let z = 64/7 - 9. Factor z*t**4 - 3/7*t**c + 0*t + 0 + 2/7*t**2.
t**2*(t - 2)*(t - 1)/7
Let t(c) be the third derivative of 7/6*c**5 + 3/14*c**7 + 0*c + 16*c**2 + 0 + 5/6*c**3 + 5/168*c**8 + 2/3*c**6 + 5/4*c**4. Factor t(m).
5*(m + 1)**4*(2*m + 1)
Suppose 27 = -2*d + 15. Let a be 20/d + 11 + -7. Solve 2/3*m**2 + 0 + 0*m - a*m**4 - 2/3*m**3 + 2/3*m**5 = 0 for m.
-1, 0, 1
Let n(t) be the first derivative of -t**6/50 - 3*t**5/50 + t**4/20 + t**3/5 - 19*t + 23. Let l(x) be the first derivative of n(x). Factor l(u).
-3*u*(u - 1)*(u + 1)*(u + 2)/5
Suppose 16 = 3*u + 4. Let a(d) be the first derivative of -1/6*d**6 + 5/2*d**2 - 2/3*d**3 - d**u + 4/5*d**5 - 2*d + 3. Factor a(m).
-(m - 2)*(m - 1)**3*(m + 1)
Let d = -19 + 22. Suppose -3*v**d - 2*v**3 - 3*v**3 - v**5 - v + 10*v**3 = 0. Calculate v.
-1, 0, 1
Let q = 34093 - 136367/4. Factor -3/2 - q*a + 11/4*a**2.
(a - 1)*(11*a + 6)/4
Let h(a) be the first derivative of -4/45*a**5 + 0*a**2 + 0*a + 7/18*a**4 + 4/27*a**3 - 7/27*a**6 - 1. Suppose h(l) = 0. Calculate l.
-1, -2/7, 0, 1
Let w(k) be the second derivative of 0 + 1/4*k**5 + 2*k**2 - 6*k - 2*k**3 + 1/4*k**4. Factor w(o).
(o - 1)*(o + 2)*(5*o - 2)
Suppose -4*i + b = -20, 3*i - 15 = 3*b - 7*b. Solve 117*c - 13*c**3 - 9*c**3 - 30*c**2 - 137*c + 2*c**3 - 5*c**4 - i = 0.
-1
Let g = -1234 + 112293/91. Let j = g + 95/364. Factor 1/2*u - j - 1/4*u**2.
-(u - 1)**2/4
Let d(h) be the second derivative of -8*h**6/15 - 43*h**5/5 + 11*h**4/3 - 9*h - 9. Suppose d(i) = 0. Calculate i.
-11, 0, 1/4
Suppose 10*v**2 - 1227*v + 1299*v - 4*v**4 - 16*v**3 + 2*v**2 = 0. Calculate v.
-3, 0, 2
Suppose -a**2 + 3*a**2 + 235 + 233 - 468 - 2*a**3 = 0. What is a?
0, 1
Let w(b) be the first derivative of 2*b**3/15 + 26*b**2/5 + 338*b/5 - 420. Determine j, given that w(j) = 0.
-13
Let y(q) be the first derivative of -2/39*q**3 - 1/26*q**4 + 2/13*q**2 - 2 + 0*q. Factor y(c).
-2*c*(c - 1)*(c + 2)/13
Let n(a) be the second derivative of -a**7/21 - 4*a**6/45 + 7*a**5/15 - 2*a**4/9 - a**3/3 + 26*a - 3. Determine o so that n(o) = 0.
-3, -1/3, 0, 1
Let j be 1683/77 - 1/(-7). Let d be (-2)/20 - j/(-220). Find u such that 3/2*u**2 + d - 3*u + 3/2*u**3 = 0.
-2, 0, 1
Let f be 62/(-39) - 5/30*-4. Let k = f + 219/26. Let k*w + 45/4 + 5/4*w**2 = 0. What is w?
-3
Let -1/3*a + 2/3*a**3 - a**4 - 1/3*a**5 - 1 + 2*a**2 = 0. What is a?
-3, -1, 1
Factor 5*b**5 + 160*b - 11*b**4 + 6*b**3 - 160*b.
b**3*(b - 1)*(5*b - 6)
Let u(m) be the second derivative of 0 + 3*m - 1/45*m**3 + 1/2*m**2 + 1/450*m**5 + 0*m**4. Let j(b) be the first derivative of u(b). Factor j(z).
2*(z - 1)*(z + 1)/15
Let z = 81122/15 - 5408. Suppose z*b**3 + 0 - 2/15*b + 0*b**2 = 0. What is b?
-1, 0, 1
Let f(d) be the third derivative of -d**8/16 + 23*d**7/35 + 5*d**6/8 - 7*d**5/5 + 178*d**2 - 2*d. What is c in f(c) = 0?
-1, 0, 4/7, 7
Let k(a) be the third derivative of -1/20*a**5 + 0*a + 0 - 5/6*a**3 + 1/180*a**6 + a**2 + 1/6*a**4. Let g(f) be the first derivative of k(f). Factor g(h).
2*(h - 2)*(h - 1)
Let d(m) be the first derivative of -2*m**3/9 + 100*m**2/3 - 5000*m/3 - 30. Factor d(p).
-2*(p - 50)**2/3
Let g be (62 - 55) + 17/1. Let w(f) be the second derivative of 3/4*f**4 - 8*f + g*f**2 + 3/80*f**5 + 6*f**3 + 0. Solve w(v) = 0 for v.
-4
Let w = 149 + -147. Factor 380/3*q**w + 16 - 256/3*q - 100/3*q**3.
-4*(q - 3)*(5*q - 2)**2/3
Factor 3/2*v**4 - 2*v**3 - 6*v**2 + 0 + 1/2*v**5 + 0*v.
v**2*(v - 2)*(v + 2)*(v + 3)/2
Suppose -u + 11 = -2*o, 3*u - 6*o - 29 = -o. Suppose -4*z = -u*z - 0*z. Determine y, given that 1/2*y**3 + 0*y**2 - 1/4*y**4 + 0*y + z = 0.
0, 2
Let g(x) = -x**4 - 7*x**3 - 3*x + 6. Let w(k) = 2 - 6*k + 9 + 4*k - 6*k**3 - k**4 - 6. Let b = 2 - -2. Let i(s) = b*g(s) - 5*w(s). Factor i(t).
(t - 1)*(t + 1)**3
Let t(z) be the second derivative of -z**7/630 - z**6/45 - z**4/4 - 5*z + 7. Let m(s) be the third derivative of t(s). Factor m(a).
-4*a*(a + 4)
Let m(r) = -r**2 - 6*r + 12. Let j be m(-6). What is o in -j*o**3 - 3*o**5 - 3*o**2 + 6*o**5 + 3*o**4 + o**5 + 8*o**5 = 0?
-1, -1/4, 0, 1
Let a be (-10)/2*(-46)/115. Let d(f) = -f**3 + 2*f**2 + f. Let k be d(a). Solve 10/7*z + 4/7*z**k + 4/7 = 0.
-2, -1/2
Let t(v) be the first derivative of -5*v**6/6 + 6*v**5 - 10*v**4 - 10*v**3 + 45*v**2/2 + 54. Find c such that t(c) = 0.
-1, 0, 1, 3
Let p = 119 + -479/4. Let z = 11/4 - p. Factor -1/2*v**5 - z*v**3 - 5/2*v**4 + 0*v - 3/2*v**2 + 0.
-v**2*(v + 1)**2*(v + 3)/2
Let j(b) = -3*b**3 - 97*b**2 - 822*b - 2592. Let a(s) = s**2 - 6*s. Let w(k) = 7*a(k) + j(k). Factor w(h).
-3*(h + 6)*(h + 12)**2
Let v(x) be the second derivative of 1/6*x**4 - 12*x - 5*x**2 + 0 - 4/3*x**3. Factor v(d).
2*(d - 5)*(d + 1)
Let f(v) be the first derivative of -16 - 16/7*v - 4/35*v**5 - 52/21*v**3 - 24/7*v**2 - 6/7*v**4. Let f(s) = 0. Calculate s.
-2, -1
Let o(r) be the first derivative of -5*r**6/12 + 29*r**5/5 - 31*r**4/8 - 11*r**3/3 - 92. Suppose o(k) = 0. Calculate k.
-2/5, 0, 1, 11
Suppose 3*d + 35 = 4*y, 5*y - 5*d = 8*y + 10. Let v(o) be the second derivative of 1/3*o**4 - y*o + 0 + 1/3*o**3 - o**2. Suppose v(u) = 0. Calculate u.
-1, 1/2
Let s be (-32)/16 + (-12 + 1 - -3). Let g(u) = -2*u**2 - 19*u + 13. Let c be g(s). Find d such that -1/5*d**c + 0 + 0*d + 3/5*d**2 = 0.
0, 3
Determine m so that 348/5*m**4 + 64/15 + 736/5*m**2 - 224/5*m - 54/5*m**5 - 2384/15*m**3 = 0.
2/9, 2
Let w(j) be the second derivative of -243*j**5/20 + 639*j**4/4 - 440*j**3 - 2400*j**2 - 27*j - 1. Factor w(y).
-3*(y + 1)*(9*y - 40)**2
Suppose m - c - 9 = -6*c, 3*m - 8 = 4*c. Let 