3*b**3. Find c such that j(c) = 0.
-1, -2/3, 0
Let z(j) = -2*j + 25. Let r be z(10). Let b(a) be the second derivative of 1/24*a**3 + 0 - 1/48*a**4 + 1/120*a**6 + 0*a**2 - 1/80*a**r - 2*a. Factor b(o).
o*(o - 1)**2*(o + 1)/4
Let u(x) be the first derivative of -x**4/10 - x**3/15 + 49. Factor u(o).
-o**2*(2*o + 1)/5
Factor 2/9*i**3 + 2/9 - 2/9*i - 2/9*i**2.
2*(i - 1)**2*(i + 1)/9
Let d(w) be the third derivative of w**6/180 - w**4/12 + 2*w**3/9 + 6*w**2. Factor d(g).
2*(g - 1)**2*(g + 2)/3
Factor 91 - 6*o**2 + 12*o + 3*o**2 - 103.
-3*(o - 2)**2
Suppose -z - 3*z + 8 = 0. Let c = 665 + -1993/3. Factor -c*g**4 + 2/3*g**z - 2/3*g**5 + 0 + 2/3*g**3 + 0*g.
-2*g**2*(g - 1)*(g + 1)**2/3
Factor 2/3*c**3 + 98*c + 686/3 + 14*c**2.
2*(c + 7)**3/3
Let b(k) be the second derivative of -k**7/945 + k**6/270 - k**5/270 - 2*k**2 + k. Let i(l) be the first derivative of b(l). Suppose i(r) = 0. Calculate r.
0, 1
Let j(b) be the third derivative of -b**5/180 - 7*b**4/18 - 98*b**3/9 - 51*b**2. Suppose j(m) = 0. Calculate m.
-14
Let t be 0*(-2)/(5 - 3). Let v(h) be the first derivative of -2/5*h**5 + 2 + 2/3*h**3 - 1/2*h**2 + t*h + 0*h**4 + 1/6*h**6. Determine z so that v(z) = 0.
-1, 0, 1
Find n such that 3/4*n**3 - 9*n**2 - 48 + 36*n = 0.
4
Let s = 7 - 22. Let g = 15 + -19. Let l(b) = -3*b**3 - 2*b**2. Let w(u) = 12*u**3 + 9*u**2. Let v(n) = g*w(n) + s*l(n). Factor v(m).
-3*m**2*(m + 2)
Let w = -5363/7 + 777. Let -92/7*y**4 + 16/7 + w*y**2 + 80/7*y - 4*y**5 - 52/7*y**3 = 0. What is y?
-2, -1, -2/7, 1
Let s(r) be the first derivative of -4*r**3/15 + 6*r**2/5 + 10. Find j such that s(j) = 0.
0, 3
Let a = -15 + 22. Let t = 34 - 31. Let b(n) = -5*n**4 - 4*n**3 + n**2 + 15*n + 8. Let r(o) = 2*o**4 + 2*o**3 - 7*o - 4. Let q(y) = a*r(y) + t*b(y). Factor q(x).
-(x - 2)**2*(x + 1)**2
Solve 2*i**4 + 66/5*i**2 - 8*i + 8/5 - 44/5*i**3 = 0 for i.
2/5, 1, 2
Let l = 9 - 6. Suppose 12 = l*p - 0. Factor -1/4*c**2 + 3/4*c**3 + 1/2*c**p - 1/4 - 3/4*c.
(c - 1)*(c + 1)**2*(2*c + 1)/4
Let s be 5/2 - -5*(-11)/55. Suppose -3/4*o - 3/4*o**5 + s*o**3 + 3/4*o**4 - 3/2*o**2 + 3/4 = 0. What is o?
-1, 1
Let t(l) = 5*l**2 + 8*l. Let u(h) = -h**2. Let j(i) = -t(i) - 3*u(i). Factor j(q).
-2*q*(q + 4)
Suppose 4*k - 6 = -4*w - 30, k = 3*w - 2. Let f be 1 + (-1 - -1) - w. Determine q so that f*q**2 - q + 2*q**2 - 3*q**2 = 0.
0, 1
Let j(f) be the second derivative of -f**6/40 + 3*f**5/80 + 8*f. Factor j(q).
-3*q**3*(q - 1)/4
Let k be (9/15)/(27/30). Suppose 0*x - 2/3*x**2 + k = 0. Calculate x.
-1, 1
Suppose 0 = 4*b - 0*b - 12. Factor -b*c**2 + 2*c - 2*c**4 + 0*c**4 - c**3 - c**5 + 5*c**4.
-c*(c - 2)*(c - 1)**2*(c + 1)
Suppose 15 = 5*a + x, 3*a - 2*x + x = 9. Suppose -4*f - 5*b - 12 = 0, -f + 0*f - a*b - 10 = 0. What is r in 6/5*r**f + 4/5*r + 1/5*r**4 + 4/5*r**3 + 1/5 = 0?
-1
Factor 2/3*w**4 - 8/3*w**3 + 8/3*w**2 + 0*w + 0.
2*w**2*(w - 2)**2/3
Find s such that 129*s**5 + 0*s**2 + 0*s**2 + 88*s**4 + 8*s**3 + 113*s**5 = 0.
-2/11, 0
Suppose 4*q - 21 = -1. Let a = q + -3. Determine n so that 0*n + 0 - 2/7*n**4 + 0*n**3 + 0*n**a + 2/7*n**5 = 0.
0, 1
Suppose 5 = -2*k + 4*k + f, 0 = -3*k - 5*f + 18. Suppose -2*y = 4*t - 8, -k = -4*t + 3*t. Factor 0*c - 4*c - c**y + 0*c - 4.
-(c + 2)**2
Let n(d) be the second derivative of d**4/6 + 34*d**3/3 + 289*d**2 + 4*d. Factor n(c).
2*(c + 17)**2
Let x(i) = -i**2 + i + 1. Let l = -2 + 3. Suppose 1 = -2*b - l. Let g(o) = -22*o**2 + 17*o - 7. Let q(h) = b*g(h) - 3*x(h). What is c in q(c) = 0?
2/5
Factor 157*n - 2*n**4 - 2*n**5 + 4*n**3 - 157*n.
-2*n**3*(n - 1)*(n + 2)
Let m = 1077 - 1072. Factor 0 + 0*d + 2/7*d**m - 2/7*d**3 + 0*d**4 + 0*d**2.
2*d**3*(d - 1)*(d + 1)/7
Let y(o) be the second derivative of 0*o**4 + 3/10*o**5 + 0*o**3 + 3/10*o**6 + 0*o**2 + 0 + 1/14*o**7 + 6*o. Factor y(s).
3*s**3*(s + 1)*(s + 2)
Suppose 2*p + 2*y = -2*y - 16, -4*p = -5*y - 20. Let l be 0 + (8 - 1)/1. Factor p*w + l*w**2 + 6*w**4 - 13*w**3 - w**2 + 3*w - 2.
(w - 1)**2*(2*w + 1)*(3*w - 2)
Let m = 394/7 + -56. Suppose 0 = 3*j + 3*w + 12, -2*j + 5 - 21 = 4*w. Let j*z**2 + 2/7*z + m*z**5 - 4/7*z**3 + 0 + 0*z**4 = 0. Calculate z.
-1, 0, 1
Let p = -28662 + 257686/9. Let r = -30 - p. Factor 0*f - r*f**2 + 2/9.
-2*(f - 1)*(f + 1)/9
Let x be (1/((-3)/3))/1. Let l be x/(-3) - 1/21. Factor -l*d + 2/7*d**2 + 0.
2*d*(d - 1)/7
Let n(o) = -6*o + 6. Let r(w) = -w**2 + 1. Let t = -3 + 5. Let l(u) = t*r(u) - n(u). Factor l(v).
-2*(v - 2)*(v - 1)
Let o(h) = -13*h**5 - 16*h**4 - 3*h**3 - 5*h - 5. Let r(u) = 7*u**5 + 8*u**4 + u**3 + 3*u + 3. Let v(g) = 3*o(g) + 5*r(g). Factor v(s).
-4*s**3*(s + 1)**2
Let d = 37/15 + 451/30. Factor -49/4*f**3 - 2 + 13*f - d*f**2.
-(f + 2)*(7*f - 2)**2/4
Suppose -9*u**2 + 7 - 7 + 3*u**3 = 0. Calculate u.
0, 3
Suppose 0 = -l + 3 - 1. Let x(t) be the second derivative of 11/21*t**4 + 0 + 3/35*t**6 + 1/7*t**l + 2*t + 12/35*t**5 + 8/21*t**3. Factor x(a).
2*(a + 1)**2*(3*a + 1)**2/7
Let f(n) be the second derivative of -n**7/10080 + n**6/2880 + n**4/12 + 3*n. Let k(w) be the third derivative of f(w). What is i in k(i) = 0?
0, 1
Let c(l) be the second derivative of -l**10/241920 + l**9/60480 - l**8/53760 + 5*l**4/12 + 6*l. Let h(n) be the third derivative of c(n). Factor h(v).
-v**3*(v - 1)**2/8
Let k = -77 + 155/2. Determine w so that -2*w**3 + k*w**5 + 0*w**4 + w**2 - 1 + 3/2*w = 0.
-2, -1, 1
Determine r, given that 20*r**2 + 8*r + 11*r**2 - 53*r**2 + 18*r**2 = 0.
0, 2
Let s(y) be the third derivative of -y**7/5040 - y**6/1440 - y**4/6 + 5*y**2. Let v(i) be the second derivative of s(i). Factor v(l).
-l*(l + 1)/2
Let u(n) be the second derivative of n**8/1008 - n**6/360 + 3*n**2 + 5*n. Let m(g) be the first derivative of u(g). Factor m(q).
q**3*(q - 1)*(q + 1)/3
Let q(h) = 11*h**5 - 5*h**4 + 8*h**3 + 8*h**2 + 8. Let f(c) = -4*c**5 + 2*c**4 - 3*c**3 - 3*c**2 - 3. Let d(g) = -8*f(g) - 3*q(g). Factor d(z).
-z**4*(z + 1)
Let k(p) be the third derivative of p**8/4200 + p**7/700 + p**6/300 + p**5/300 + p**3/2 - 2*p**2. Let z(m) be the first derivative of k(m). Factor z(r).
2*r*(r + 1)**3/5
Let j be ((-1)/(-21))/((-96)/(-56)). Let f(p) be the second derivative of -1/9*p**3 + 1/6*p**2 + 0 - p + j*p**4. Factor f(v).
(v - 1)**2/3
Suppose -j + 2*j = -2, 2 = 4*v - j. Factor v + 2/9*z**5 + 0*z**2 + 0*z**4 + 2/9*z - 4/9*z**3.
2*z*(z - 1)**2*(z + 1)**2/9
Let l(s) be the second derivative of -1/60*s**6 + 0*s**3 + s**2 + 0 + 0*s**4 + s + 0*s**5. Let d(g) be the first derivative of l(g). Let d(n) = 0. Calculate n.
0
Let z(g) = 2*g + 1 - 3*g + 2*g. Let h(v) = 2*v**2 + v**3 - v + 3*v - 2*v - 1. Let p(b) = -h(b) - z(b). Determine w, given that p(w) = 0.
-1, 0
Let d(f) be the third derivative of -f**6/60 - f**5/10 - f**4/4 - f**3/3 + f**2. Solve d(a) = 0.
-1
Find u, given that 27*u**3 - 30*u**2 + 45*u + 5 - 22*u**3 - 5 = 0.
0, 3
Let c = -2 + 4. Factor -s**5 + s**2 + s**5 + 3*s**4 + 0*s**c - 3*s**3 - s**5.
-s**2*(s - 1)**3
Let d(f) be the third derivative of -f**8/20160 - f**7/7560 - f**4/24 + 2*f**2. Let w(s) be the second derivative of d(s). What is m in w(m) = 0?
-1, 0
Suppose 27*i = 56 - 2. Suppose -2/3*p**i - 2/3 - 4/3*p = 0. Calculate p.
-1
Let v(f) be the third derivative of f**10/189000 - f**9/151200 - f**8/50400 + f**5/20 - 5*f**2. Let z(q) be the third derivative of v(q). Factor z(d).
2*d**2*(d - 1)*(2*d + 1)/5
Factor 6*f**3 + f**4 - 6*f**3 + 0*f**3 - f**2 + f**3 - f.
f*(f - 1)*(f + 1)**2
Let x(i) = 4*i - 11. Let f be x(4). Let v(j) = -j + 5. Let w be v(f). Factor b**4 - b**3 - 1/3*b**5 + 1/3*b**2 + w*b + 0.
-b**2*(b - 1)**3/3
Suppose -2*r - 3*r = -35. Let 4*o + 8*o**2 - r*o**2 + 0 - 2 - 3*o = 0. What is o?
-2, 1
Let s(d) = -20*d**2 - 2*d**4 - 6*d**3 + 9*d - d - 8 - 32*d. Let x(h) = 6*h**4 + 19*h**3 + 61*h**2 + 72*h + 24. Let y(g) = -17*s(g) - 6*x(g). Factor y(f).
-2*(f + 1)**2*(f + 2)**2
Let z be (-60)/16 - (-2 + (-2)/1). Solve 3/4*k + 1/2 + z*k**2 = 0 for k.
-2, -1
Let t = -1/29 + 35/174. Let r(p) be the second derivative of -p + 0 + p**2 + t*p**4 - 2/3*p**3. Factor r(x).
2*(x - 1)**2
Let x(t) = t**2 + 2*t + 2. Suppose 0 = -3*y - 0 - 6. Let h be x(y). Let l**h - 16 - l**4 + 16 = 0. Calculate l.
-1, 0, 1
Let 1/3*a**2 - 1/12*a + 0 = 0. What is a?
0, 1/4
Let h(o) be the third derivative of -o**6/780 + 4*o**5/195 + 31*o**2. Let h(z) = 0. Calculate z.
0, 8
Let j(u) be the third derivative of u**5