*(5*w + 2)/9
Let y(q) = 18*q**3 + 12*q**2 - 52*q + 28. Let b(o) = o - 1. Let x be 2/(2 + -3 + -1). Let c(a) = x*y(a) - 12*b(a). Determine j, given that c(j) = 0.
-2, 2/3
Let w be 2/(-8) + 9/4. Let b(c) be the first derivative of 1/3*c**3 - 3 + 1/2*c**w + 0*c. Factor b(v).
v*(v + 1)
Let -5*v**2 + 2*v - v**2 + 2*v + 4*v**2 = 0. Calculate v.
0, 2
Let i(y) be the second derivative of 1/168*y**7 + 0*y**2 + 0*y**3 - 1/80*y**5 + 3*y + 0*y**4 + 0 + 0*y**6. Factor i(b).
b**3*(b - 1)*(b + 1)/4
Suppose 0 = 4*v + i + 14, -i = 3*v + 15 - 4. Let q = -3 - v. Factor q + 4/7*n**2 + 2/7*n**3 + 2/7*n.
2*n*(n + 1)**2/7
Solve 0*t**2 + 2*t + 0 - 1/2*t**3 = 0.
-2, 0, 2
Let q(h) be the first derivative of 3 + 0*h - 1/36*h**4 - 1/9*h**3 + 1/90*h**5 + 1/2*h**2 + 1/180*h**6. Let k(a) be the second derivative of q(a). Factor k(i).
2*(i - 1)*(i + 1)**2/3
Let w be 164/42 + (-16)/(-168). Suppose 0*c + 3/7*c**w + 0 + 3/7*c**3 - 3/7*c**5 - 3/7*c**2 = 0. What is c?
-1, 0, 1
Let c = 3065/2688 - -1/384. Solve -c*k**3 - 4/7 + 6/7*k + 0*k**4 + 2/7*k**5 + 4/7*k**2 = 0.
-2, -1, 1
Let t(p) be the third derivative of -p**8/1008 - 2*p**7/315 - p**6/60 - p**5/45 - p**4/72 + 2*p**2. Factor t(o).
-o*(o + 1)**4/3
Let r(i) be the second derivative of i**7/420 - i**6/180 - i**5/12 - i**4/4 + 5*i**3/6 + 5*i. Let m(v) be the second derivative of r(v). Factor m(l).
2*(l - 3)*(l + 1)**2
Let z(q) = q - 11. Let r be z(12). Let g(v) be the first derivative of 0*v**3 + 0*v + 1/9*v**2 - 1/18*v**4 - r. Factor g(p).
-2*p*(p - 1)*(p + 1)/9
Let l(c) be the first derivative of -c**3/12 + 3*c**2/8 - c/2 + 15. Factor l(p).
-(p - 2)*(p - 1)/4
Let w be 261/(-2) - 8/16. Let f = w + 267/2. Suppose 1/2*o**2 - f*o**4 + 1/2*o**5 + 7/2*o**3 - 4*o + 2 = 0. What is o?
-1, 1, 2
Let z(l) be the third derivative of l**8/168 + l**7/420 - l**6/36 - l**5/60 - l**3/3 + 6*l**2. Let d(n) be the first derivative of z(n). Factor d(f).
2*f*(f - 1)*(f + 1)*(5*f + 1)
Let r be (9/6)/((-6)/(-8)). Suppose -f - 2 = -o + 4, -f = r. Find c, given that -4*c**3 - o*c**2 + 2*c + 0*c - 10*c**2 + 2*c + 14*c**4 = 0.
-1, 0, 2/7, 1
Let w = -2312 + 20906/9. Let p(g) be the first derivative of 8/3*g - 343/12*g**4 + 14/3*g**2 + 1 - w*g**3. Suppose p(z) = 0. What is z?
-2/7, 2/7
Let m(u) = u**4 - u**2 + u. Let g(x) = 5*x**4 + 16*x**3 + 19*x**2 + 9*x. Let z(p) = -g(p) + m(p). Factor z(d).
-4*d*(d + 1)**2*(d + 2)
Let j(c) = -8*c**4 - 12*c**2 - 4*c + 6. Suppose 0 = 5*i + 14 + 71. Let f(b) = 23*b**4 - b**3 + 35*b**2 + 11*b - 17. Let o(g) = i*j(g) - 6*f(g). Factor o(r).
-2*r*(r - 1)**3
Suppose 0 = -4*k - 2*f + 8, -4*k + k - 2*f = -5. Solve -4*c**2 + 4*c**2 - c**k + c**2 + 0*c**3 = 0.
0, 1
Let i(g) = -4*g - 5. Let d be i(-2). Let m be (-2)/(-5) - 206/(-10). Factor -m*j**4 + 30*j**4 - d*j**3 + 41*j**4 - 8*j - 32*j**2 - 7*j**3.
2*j*(j - 1)*(5*j + 2)**2
Let y(p) be the first derivative of -5*p**4/4 - 5*p**3 + 20*p - 13. Suppose y(d) = 0. What is d?
-2, 1
Let x(v) = 31*v**2 - 31*v - 1. Let d(j) = -21*j**2 + 21*j + 1. Suppose -58 = 5*p - 3. Let f = 6 + p. Let g(z) = f*x(z) - 7*d(z). Factor g(c).
-2*(2*c - 1)**2
Suppose 4*b - b + 30 = 0. Let y be (-6)/b + (-1)/(-15). Find m such that 16/3*m**2 - 4/3*m + 8/3*m**5 - y - 14/3*m**4 - 4/3*m**3 = 0.
-1, -1/4, 1
Suppose 0 = 19*d - 22*d + 6. Find m such that 10/7*m**4 - 8/7 - 2*m**3 - 2/7*m**5 + 16/7*m - 2/7*m**d = 0.
-1, 1, 2
Let r be 1/((3 + -1)*(-4)/(-32)). Let b(t) be the second derivative of 3*t + 1/15*t**r + 0 + 3/50*t**5 - 2/5*t**2 - 1/5*t**3. Solve b(s) = 0.
-1, -2/3, 1
Let m(o) be the first derivative of -4 + 3/10*o**5 + 0*o**2 + 1/3*o**3 + 0*o - 5/8*o**4. Solve m(w) = 0.
0, 2/3, 1
Let b(g) = -5*g**2 - 11*g + 6. Let l(m) = m**2 + m + 1. Let y(h) = b(h) + 4*l(h). Let a be y(-8). Suppose 0*z**a + 0 + 2/7*z - 2/7*z**3 = 0. What is z?
-1, 0, 1
Let u(b) be the first derivative of b**6/10 - b**4/4 - b + 1. Let m(o) be the first derivative of u(o). Determine j, given that m(j) = 0.
-1, 0, 1
Suppose -2*i = 4*g + 4, -i + 2*g + 38 = 4*i. Let y be (1 - i - -3)/(-6). Factor 0 - 1/3*b**2 - y*b.
-b*(b + 1)/3
Let n(b) be the third derivative of b**8/252 - b**6/30 - 2*b**5/45 + 9*b**2. Determine g, given that n(g) = 0.
-1, 0, 2
Let o = 16/109 - -356/545. Factor 4/5*s**2 - 4/5 - o*s**3 + 4/5*s.
-4*(s - 1)**2*(s + 1)/5
Let y(a) be the second derivative of a**6/45 + a**5/30 - a**4/6 - a**3/9 + 2*a**2/3 + 4*a. Solve y(z) = 0.
-2, -1, 1
Let b(w) be the first derivative of 0*w**2 - 2 - 1/16*w**4 + 0*w + 0*w**5 + 0*w**3 + 1/24*w**6. Factor b(o).
o**3*(o - 1)*(o + 1)/4
Let p be (-6)/(-28)*288/108. Factor 4/7*n**2 + 0 - p*n.
4*n*(n - 1)/7
Find j, given that 0 + 0*j - 2/23*j**3 + 0*j**2 = 0.
0
Factor -1/2*l**2 + 2*l + 5/2.
-(l - 5)*(l + 1)/2
Let u = 1 - 7. Let j be ((-4)/u)/((-3)/(-9)). Find i such that 0 + 1/2*i**j - i = 0.
0, 2
Let v be (16/(-120))/(1/((-3)/2)). Factor -2/5*x - 1/5*x**2 - v.
-(x + 1)**2/5
Suppose 29 = 2*s - 5*c, -2*s + 0*c + 24 = -4*c. Factor -1/2*t**s - t - 1/2.
-(t + 1)**2/2
Let j(b) be the second derivative of -1/35*b**5 - 1/21*b**4 + 1/147*b**7 + 0 + 3*b + 1/7*b**2 + 1/21*b**3 + 1/105*b**6. Factor j(r).
2*(r - 1)**2*(r + 1)**3/7
Suppose -3*j = -4*j + 15. Let k be 1/(-5) - (-33)/j. Factor 0*z**3 - 5*z**2 + 2*z**3 - 4*z**3 + z**k.
-2*z**2*(z + 2)
Suppose -5*h + 0*h = -25. Suppose -2*t = -h*r - 28, 0*t + 3*t - 3*r - 24 = 0. Determine w so that w**4 - 3*w**3 + 0*w**3 + w**t + w**4 = 0.
0, 1
Let s(u) = -u**3 - 3*u**2 - u. Let q be s(-3). Let b be (3 + -22)*(-2)/(-14) + 3. Factor 10/7*h**2 + b + 8/7*h + 4/7*h**q.
2*(h + 1)**2*(2*h + 1)/7
Let h = 19 - 16. Suppose 4*f - z = 6, -f + h*z - 2 = f. Factor 2/3*d**3 + 2*d**2 + 2/3 + f*d.
2*(d + 1)**3/3
Suppose g + 0*g = 5*h + 8, 2*g - 6 = 0. Let y be (12 - 3) + h + 1. Factor -6*x + y*x + 3 + 0 + 6*x + 9*x**2 + 3*x**3.
3*(x + 1)**3
Let u(z) be the third derivative of z**8/224 - z**6/80 - 37*z**2. Solve u(v) = 0.
-1, 0, 1
Find w such that -w**3 - 33*w + 10*w + 4*w**2 + 18*w + 2 = 0.
1, 2
Factor 0*v + 3/4*v**2 + 0 + 3/4*v**3.
3*v**2*(v + 1)/4
Let c = 2 + 3. Let n(r) be the third derivative of 0*r**4 + 0 + 1/3*r**3 + 0*r - 2*r**2 - 1/30*r**c. Let n(a) = 0. What is a?
-1, 1
Let x(b) be the third derivative of 0 + 2/21*b**3 - 3*b**2 + 0*b + 11/84*b**4 + 1/15*b**5. Factor x(s).
2*(2*s + 1)*(7*s + 2)/7
Let p = 4187/2205 - -1/882. Let l = 12/5 - p. Solve 0 + 1/2*u + l*u**2 = 0 for u.
-1, 0
Let n(u) be the third derivative of -u**6/300 + 2*u**5/75 + u**4/60 - 4*u**3/15 - 8*u**2. Find a such that n(a) = 0.
-1, 1, 4
Let n be 13/20 - ((-2)/(-5) + 0). Find d such that 0 + n*d + 1/4*d**5 + 3/2*d**3 - d**4 - d**2 = 0.
0, 1
Let q(n) be the first derivative of n**9/9072 + n**8/5040 - n**7/2520 - n**6/1080 - 2*n**3/3 - 3. Let v(h) be the third derivative of q(h). Factor v(k).
k**2*(k - 1)*(k + 1)**2/3
Let y be (-24)/(-9) + (-6)/9. Suppose -y*p = -5*p. Factor 0 - 2/5*q**3 - 1/5*q**2 + p*q - 1/5*q**4.
-q**2*(q + 1)**2/5
Let a(c) be the second derivative of -3*c**5/20 - c**4/3 + 13*c**3/6 - 3*c**2 - c. Find t such that a(t) = 0.
-3, 2/3, 1
Let t(q) be the first derivative of -q**3/15 + 9*q**2/10 - 14*q/5 + 59. Factor t(f).
-(f - 7)*(f - 2)/5
Let h(r) = -r + 5. Suppose c + 0*c = 5*p - 2, 3*c - 2*p - 7 = 0. Let x be h(c). Factor 2*l**x + 2*l + 4 - l**2 - 6*l.
(l - 2)**2
Let t be (-3 - 25/(-10))/(-5)*6. What is h in 3/5*h + 0 - 6/5*h**2 + t*h**3 = 0?
0, 1
Let x = 0 - 2. Let s(d) = -4*d**2 - 9*d. Let j(y) = -1 + 303*y**2 + 1 + 2*y - 302*y**2. Let g(l) = x*s(l) - 9*j(l). Factor g(r).
-r**2
Let x(r) be the third derivative of -r**6/780 - 7*r**5/390 - 2*r**4/39 + 16*r**3/39 - 8*r**2. Solve x(p) = 0 for p.
-4, 1
Suppose -2*g + 6*g - 24 = 0. Suppose -3*p + p = -g. Factor u**3 - 3*u - 2*u**p + 2*u**2 + 2*u.
-u*(u - 1)**2
Let y(w) = 4*w**2 + w - 5. Let j = 16 + -14. Let z(d) = -2*d**2 + 2. Let u(m) = j*y(m) + 5*z(m). Determine s so that u(s) = 0.
0, 1
Let x(f) be the third derivative of -f**7/70 - 9*f**6/40 - 3*f**5/2 - 11*f**4/2 - 12*f**3 - 3*f**2 - 10*f. Find k such that x(k) = 0.
-3, -2
Let q(d) be the first derivative of 3 + 0*d**3 + 0*d - 1/2*d**2 + 1/4*d**4. Let q(x) = 0. What is x?
-1, 0, 1
Let u(x) be the second derivative of 0 + 1/5*x**3 - 1/5*x**2 + 1/50*x**5 - 3*x - 1/10*x**4. Factor u(h).
2*(h - 1)**3/5
Let b(q) be the second derivative of q**5/5 + q**4 + 4*q**3/3 + 14*q. What is s in b(s) =