 + 1)
Let m = 636/5 - 126. Let 0 - 2/5*q**3 - m*q**2 - 4/5*q = 0. What is q?
-2, -1, 0
Let j = 302/113 + -2/339. Solve 2/3*x + 4/3 - j*x**2 - 2*x**3 = 0.
-1, 2/3
Let k = 26 + -41. Let m = k - -15. Factor -2/9*r**3 + 0*r**2 + 2/9*r + m.
-2*r*(r - 1)*(r + 1)/9
Let f(q) = q. Let b be f(6). Factor 4*x - 4*x + 2*x**3 + b*x**2 + 2*x + 2*x.
2*x*(x + 1)*(x + 2)
Let m(w) be the third derivative of w**5/100 + w**4/40 - 8*w**2. Factor m(h).
3*h*(h + 1)/5
Find o such that 5 - 9 + 0*o**2 - o**2 + 5*o**2 = 0.
-1, 1
Let i = 1209 - 2591/2. Let k = i - -88. Factor -k + 33/2*s**3 + 6*s**4 + 3/2*s + 27/2*s**2.
3*(s + 1)**3*(4*s - 1)/2
Let g(b) be the third derivative of b**8/1008 - b**7/210 + b**6/180 + 16*b**2. Factor g(t).
t**3*(t - 2)*(t - 1)/3
Let z be ((-9)/2)/((-6)/8). Let q be 9/z*(-8)/(-6). Let x - 2*x - x**2 + 0*x**3 + 1 + 3*x**3 - q*x = 0. What is x?
-1, 1/3, 1
Let p(y) = 16*y**2 - 4. Let v(q) be the second derivative of q**4/12 - q**3/6 - 3*q. Let j(d) = -p(d) + 6*v(d). Determine f so that j(f) = 0.
-1, 2/5
Let b = 33 + -33. Let n(d) be the second derivative of 3/20*d**5 + 0*d**2 + 1/24*d**3 - 1/15*d**6 - d + b - 1/8*d**4. Factor n(q).
-q*(2*q - 1)**3/4
Factor 144*z + 24*z**3 + 3*z**4 + 36*z**2 - 6*z**3 - 120*z.
3*z*(z + 2)**3
Let h(s) = -s**3 - s**2 - s + 2. Let l be h(0). Let -3 - 28*g**2 + 0 + 2*g**4 - 3 - 22*g - 9*g**3 - 3*g**3 + l*g**5 = 0. Calculate g.
-1, 3
Factor -2/3*w**4 + w**3 - 1/3*w**5 + 0*w**2 + 0 + 0*w.
-w**3*(w - 1)*(w + 3)/3
Let n(i) be the first derivative of i**6/30 - 3*i**5/25 + i**4/10 + 2*i**3/15 - 3*i**2/10 + i/5 - 3. Factor n(g).
(g - 1)**4*(g + 1)/5
Suppose 53 = -3*u + 14. Let y = 40/3 + u. Solve -1/3*n + 0 + y*n**2 = 0.
0, 1
Let m(b) = 0 - b**2 - b**3 + b + 0. Let q be m(-2). Factor -4*f**q + f**4 + 2*f**5 - f**4 + 6*f**3 + f - 4*f**4 - f**5.
f*(f - 1)**4
Factor 2/15*q + 0 - 8/15*q**3 - 2/5*q**2.
-2*q*(q + 1)*(4*q - 1)/15
Let p(g) be the first derivative of -1 + 0*g**2 - 1/7*g**4 - 2/21*g**3 + 0*g - 2/35*g**5. Let p(q) = 0. Calculate q.
-1, 0
Factor -4/5 + 4/5*i - 2/5*i**3 - 1/5*i**4 + 3/5*i**2.
-(i - 1)**2*(i + 2)**2/5
Factor 24/7 + 15/7*y**3 + 12*y + 66/7*y**2.
3*(y + 2)**2*(5*y + 2)/7
Let r(n) be the second derivative of -5*n**4/3 - 13*n**3/6 - n**2 - 4*n. Suppose r(j) = 0. What is j?
-2/5, -1/4
Let y = 2691/1582 - -3/226. Factor 4*z**3 + 4/7 + 18/7*z + y*z**4 + 2/7*z**5 + 32/7*z**2.
2*(z + 1)**4*(z + 2)/7
Let a be 1/2*(-6 - -8)*2. Factor 0*p**a + 3/5*p**3 - 6/5 - 9/5*p.
3*(p - 2)*(p + 1)**2/5
Suppose 0 = -t + 3 - 1. Let p be 0/(t + -3) + 2. Factor -a**2 - a**2 + a + 0*a**p + a**2.
-a*(a - 1)
Factor 23*q - 40 - 6*q**2 + q**2 - 21*q - 32*q.
-5*(q + 2)*(q + 4)
Let u(z) be the third derivative of z**2 + 1/60*z**6 + 0*z**3 - 1/30*z**5 + 0*z - 1/12*z**4 + 0 + 1/105*z**7. What is i in u(i) = 0?
-1, 0, 1
Factor 0*j**3 - 3/4*j**4 + 0*j**2 + 0*j + 0.
-3*j**4/4
Let h(k) be the third derivative of -2/35*k**7 - 6*k**2 + 0 + 0*k - 1/8*k**4 - 1/5*k**5 - 1/112*k**8 - 3/20*k**6 + 0*k**3. Factor h(l).
-3*l*(l + 1)**4
Let z(s) be the second derivative of s**7/14 - s**6/10 - 9*s**5/10 + 7*s**4/2 - 11*s**3/2 + 9*s**2/2 - 26*s. Factor z(m).
3*(m - 1)**4*(m + 3)
Let h = -1/44 + 23/44. Factor -v - 1/2 - h*v**2.
-(v + 1)**2/2
Let t be (0 - 9/(-6))*2. Let q(u) be the first derivative of 1/12*u**t - 1/4*u - 3 + 0*u**2. Determine z so that q(z) = 0.
-1, 1
Let o(w) = w**3 + w**2 + w + 3. Let p be o(0). What is d in d**p + 0 + d**2 + 1/3*d**4 + 1/3*d = 0?
-1, 0
What is g in -3*g**5 - g**5 - 13*g**3 - 3*g**3 - 16*g**4 = 0?
-2, 0
Suppose 0 - 3/2*q**3 - 3/2*q**2 + 3*q = 0. What is q?
-2, 0, 1
Let w(h) be the first derivative of h**6/51 + 2*h**5/85 - 3*h**4/34 - 10*h**3/51 - 2*h**2/17 + 18. Factor w(p).
2*p*(p - 2)*(p + 1)**3/17
Let c be 1 + 2 - (-2516)/(-840). Let x(d) be the third derivative of 0*d + 1/210*d**6 + 0*d**4 + 1/735*d**7 + c*d**5 + 0*d**3 + 0 - d**2. Factor x(l).
2*l**2*(l + 1)**2/7
What is h in -18/5 + 3/5*h + 3/5*h**2 = 0?
-3, 2
Suppose -4 = 2*k + f - 5, 0 = k + f - 3. Let w be k/18*(-6)/2. Factor -1/3*m**4 + w*m**2 + 2/3*m**3 - 2/3*m + 0.
-m*(m - 2)*(m - 1)*(m + 1)/3
Let b(l) = -10*l**4 + 6*l**3 - 10*l**2 + 7*l - 7. Let i(u) = -3*u**4 + 2*u**3 - 3*u**2 + 2*u - 2. Let a(d) = -6*b(d) + 21*i(d). Suppose a(k) = 0. Calculate k.
0, 1
Suppose -8/3*j**2 - 10/3*j - 2/3 = 0. Calculate j.
-1, -1/4
Let y = -13 - -7. Let b be ((-8)/(-14))/(y/(-21)). Solve 3/4*k**3 + 0*k + 1/4*k**b + 0 = 0 for k.
-1/3, 0
Let c(b) = b**4 + 10*b**3 - 7*b**2 - 8. Let q(k) = k**3 - k**2 - 1. Let f(w) = -3*c(w) + 24*q(w). Let f(v) = 0. Calculate v.
-1, 0
Let o(y) be the third derivative of 2*y**8/189 + 8*y**7/945 - 7*y**6/540 + y**5/270 - 6*y**2. Factor o(l).
2*l**2*(l + 1)*(4*l - 1)**2/9
Let l(c) be the second derivative of 0*c**4 + 0*c**3 + 3*c + 0 + 1/45*c**6 + 0*c**2 + 1/30*c**5. Factor l(i).
2*i**3*(i + 1)/3
Let y = 40 + -37. Suppose 0*c - 2/5 + 0*c**y - 2/5*c**4 + 4/5*c**2 = 0. Calculate c.
-1, 1
Let o(b) be the second derivative of b**4/60 + b**3/15 + b**2/10 - 9*b. Factor o(i).
(i + 1)**2/5
Let g(c) be the first derivative of 4 - 1/3*c**3 + c + 1/2*c**2 - 1/4*c**4. Suppose g(y) = 0. What is y?
-1, 1
Let c(g) be the first derivative of g**8/9240 + g**7/2310 + g**6/1980 + g**3 - 2. Let s(w) be the third derivative of c(w). Factor s(p).
2*p**2*(p + 1)**2/11
Find y, given that 8/9*y**3 + 2/9*y**2 + 0 + 0*y = 0.
-1/4, 0
Suppose y - 10 = -4*y. Suppose 2*c - y = c. Factor -o + o - 2*o**3 - c*o + 4*o**2.
-2*o*(o - 1)**2
Factor -2*b**2 + 16/9*b + 0 + 2/9*b**3.
2*b*(b - 8)*(b - 1)/9
Let m(h) be the third derivative of -h**9/37800 + h**7/6300 + h**4/12 - 3*h**2. Let t(v) be the second derivative of m(v). Let t(u) = 0. What is u?
-1, 0, 1
Let p(c) be the first derivative of -c**7/140 - c**6/90 + c**5/60 + 3*c**3 + 2. Let q(v) be the third derivative of p(v). Factor q(g).
-2*g*(g + 1)*(3*g - 1)
Let y(v) be the second derivative of -1/6*v**4 + 2*v**3 + 0 + 3*v - 9*v**2. Factor y(c).
-2*(c - 3)**2
Let f(g) be the first derivative of 4*g**3/3 + 2*g**2 - 1. Determine j so that f(j) = 0.
-1, 0
Let x be (-10)/2*(-12)/15. Factor 4*a**3 + 4*a**2 + 0*a**2 + 2*a**x + 2*a**3 + 0*a**4.
2*a**2*(a + 1)*(a + 2)
Suppose -3*z - 4*r + 29 = 0, -4*r = 2*z - 7 - 19. Suppose -3 + 7 = -z*q + 5*w, -6 = -3*w. Let 1 + c + 3*c**q - 3*c - 2*c = 0. What is c?
1/3, 1
Let u be (23 - 22)*(1 + -1). Factor 0 + 1/2*o**4 - o**2 + 1/2*o**3 + u*o.
o**2*(o - 1)*(o + 2)/2
Determine c, given that 4*c - 6 - 2/3*c**2 = 0.
3
Let q(w) be the first derivative of -2*w**7/525 - w**6/300 + w**5/75 + w**4/60 + 3*w**2 + 4. Let m(v) be the second derivative of q(v). Let m(g) = 0. What is g?
-1, -1/2, 0, 1
Suppose -2*h - a = 3*h - 89, 2*h - a = 37. Let f = h + -88/5. Factor 2/5*w**2 - f*w + 0.
2*w*(w - 1)/5
Let o be -79 + 84 + (-2)/(2/5). Determine i, given that 2/13*i**2 + o + 4/13*i = 0.
-2, 0
Let r(z) be the second derivative of z**7/630 - z**6/270 + z**3/3 + 6*z. Let j(q) be the second derivative of r(q). Let j(k) = 0. Calculate k.
0, 1
Let b(a) = 4*a**2 + 2*a + 1. Let p be b(-1). Let y be 3 - p - (-1)/2. Find u such that -1/2*u**2 + 1/2*u**3 - 1/2*u + y = 0.
-1, 1
Let s(l) = -9*l**2 + 2*l + 0*l + 3 - l. Let p(q) = 22*q**2 - 2*q - 8. Let d(i) = -5*p(i) - 12*s(i). Factor d(y).
-2*(y - 1)*(y + 2)
Let z(n) be the first derivative of -2*n**6/3 - 8*n**5/5 + 8*n**3/3 + 2*n**2 + 15. Suppose z(g) = 0. What is g?
-1, 0, 1
Let a be 0 + 0 + 2 + -4. Let v be (9/(-5) - a) + 0. Factor v*b**2 - 1/5*b - 2/5.
(b - 2)*(b + 1)/5
Find o, given that 6 + 74 + 120*o - 7*o**3 + 45*o**2 + 0 + 12*o**3 = 0.
-4, -1
Let o = 9 - 6. Suppose -2*k = 2*d - 12, 2 = -4*k + o*d - 2. Factor -2 - h + 4 + k - h - 2*h**2.
-2*(h - 1)*(h + 2)
Let f be 96/15 - (-2)/(-5). Let d(r) = -2*r**3 + 5*r**2 + r. Let j(u) = -u**3 + 5*u**2 + u. Let k = -8 + 3. Let p(w) = f*j(w) + k*d(w). Factor p(l).
l*(l + 1)*(4*l + 1)
Let b(i) be the second derivative of i**6/135 + i**5/45 - i**4/18 + 11*i. Find o such that b(o) = 0.
-3, 0, 1
Let p(j) be the second derivative of j**4/12 + 14*j**3/3 + 98*j**2 + 49*j. Factor p(q).
(q + 14)**2
Factor -1191 + 4*z**3 + z - 4*z - 13*z + 4*z**2 + 1175.
4*(z - 2)*(z + 1)*(z + 2)
Let d = 113/15 - 31/5. Let m(j) be the first derivative of j**2 + d*j**3 + 0*j - 1. Factor m(i).
2*i*(2*i + 1)
Let t = 14 + -10. Let h be 28/7 - t/2. Factor -6*v**h - 4*v +