1. Let o(l) = 6*c(l) + 3*q(l). What is a in o(a) = 0?
-1, -2/3, 0, 2/7
Let g be (-35)/(-2 + 7) + 10. Let q(c) be the third derivative of 0 + 1/210*c**7 + 6*c**2 + 0*c**g - 1/30*c**6 + 0*c**4 + 0*c + 1/15*c**5. Factor q(z).
z**2*(z - 2)**2
Let s(g) be the third derivative of -2*g**7/735 - 17*g**6/840 - g**5/21 - g**4/42 - g**2 - 7. Factor s(i).
-i*(i + 2)**2*(4*i + 1)/7
Let j = 127332/7 - 18190. Solve 2/7*i**2 + j*i + 0 = 0.
-1, 0
Let s(z) be the third derivative of z**9/120960 - z**8/40320 + 17*z**5/60 + 19*z**2. Let x(v) be the third derivative of s(v). Let x(d) = 0. What is d?
0, 1
Suppose -134*p + 126 = -190 + 48. Factor -1/3*n**3 + 0 - 2/3*n - n**p.
-n*(n + 1)*(n + 2)/3
Let a(l) be the first derivative of 0*l**2 + 1/2*l**3 + 5 - 1/4*l**4 + 5*l. Let q(r) be the first derivative of a(r). Solve q(x) = 0.
0, 1
Let x be 5 + 42/(-9) - 1/(-15). Let k(z) be the second derivative of 0 + 2*z + 1/20*z**4 - 1/100*z**5 + 0*z**3 - x*z**2. Find q, given that k(q) = 0.
-1, 2
Find v, given that -1/9*v**2 - 191/9*v - 190/9 = 0.
-190, -1
Factor -2*o + 3*o**3 + 13*o**2 - 13*o - 16004 - o**4 + 0*o + 16004.
-o*(o - 5)*(o - 1)*(o + 3)
Let j be -5*5/((-75)/6). Determine m, given that m - m**2 - 2*m**2 - j*m**2 + m = 0.
0, 2/5
Find g, given that 11*g + 27*g**3 + g - 3*g**5 - 3*g**4 + 3062 - 3062 - 33*g**2 = 0.
-4, 0, 1
Suppose 2*k - 5*k - 21 = -3*h, -20 = -4*k. Factor h*g**3 - 60*g**2 + 16 + 43*g + 5*g + 4*g**3.
4*(g - 2)**2*(4*g + 1)
Suppose -4*y - 25*i + 22*i = -8, y + 3*i - 2 = 0. Factor 3/2*p**y + 0*p - 15/8*p**4 + 0 - 3*p**3.
-3*p**2*(p + 2)*(5*p - 2)/8
Let d = 4139 + -12416/3. Factor p - d*p**3 + 0*p**2 + 2/3.
-(p - 2)*(p + 1)**2/3
Let b(t) = -4*t**2 + 13*t - 9. Let p(n) = -2*n**2 + 7*n - 5. Let q = -43 - -38. Let m(f) = q*p(f) + 3*b(f). Factor m(v).
-2*(v - 1)**2
Suppose 2*m - 5 = 3*u, m - 5*u - 825 + 826 = 0. Factor -16/3 + 4/3*v**2 - m*v.
4*(v - 4)*(v + 1)/3
Let a(x) be the third derivative of x**5/60 + 31*x**4/6 + 1922*x**3/3 - 69*x**2 - 1. Factor a(n).
(n + 62)**2
Let w be -2*4/22 + 729/1188. Factor 1/2*u**3 + 0*u + 0*u**2 + w*u**4 + 0.
u**3*(u + 2)/4
Let s(i) be the second derivative of 0*i**4 - 1/140*i**5 + 9*i + 1/14*i**3 + 5/2*i**2 + 0. Let a(u) be the first derivative of s(u). What is b in a(b) = 0?
-1, 1
Let m(v) be the third derivative of v**8/294 - v**7/49 + v**6/35 + 2*v**5/105 + v**2 - 18*v. Factor m(b).
2*b**2*(b - 2)**2*(4*b + 1)/7
Suppose 48/11*h**3 + 2/11*h**5 - 20/11*h**2 + 0 + 20/11*h**4 - 50/11*h = 0. What is h?
-5, -1, 0, 1
Let c(r) be the third derivative of r**5/30 + 16*r**4/3 + 1024*r**3/3 + 131*r**2. What is s in c(s) = 0?
-32
Solve s**2 - 51 + 327 + 132*s - 145 = 0 for s.
-131, -1
What is i in -11/5 + 23/10*i - 1/10*i**2 = 0?
1, 22
Let g(t) be the second derivative of t**6/6 - 5*t**5/2 + 115*t**4/12 - 35*t**3/3 + 4*t + 8. What is l in g(l) = 0?
0, 1, 2, 7
Let w(q) be the third derivative of 0 + 2/3*q**4 - 2*q**2 - 1/15*q**5 - 8/3*q**3 + 0*q. Factor w(i).
-4*(i - 2)**2
Let o(j) be the first derivative of -1/15*j**4 + 0*j + 14/45*j**3 - 1/5*j**2 + 12. Factor o(x).
-2*x*(x - 3)*(2*x - 1)/15
Let x be (5 + -9 - -3) + (-10)/(-24). Let j = -1/3 - x. Let 0 - j*w**5 + 1/4*w**2 + 0*w + 1/4*w**3 - 1/4*w**4 = 0. Calculate w.
-1, 0, 1
Suppose 11 - 3 = 2*f. Suppose -a + f*a = 9. Factor -3*o**4 - 6*o**a + 6*o - 3 + 1 + 2 + 3.
-3*(o - 1)*(o + 1)**3
Let y(w) = -w**3 - 37*w**2 - 66*w + 148. Let v be y(-35). Factor 0*i + 0 - v*i**3 - 2*i**2 - 7/2*i**4.
-i**2*(i + 2)*(7*i + 2)/2
Let g(r) be the third derivative of -1/270*r**5 - 1/27*r**4 + 0*r + 0 + 6*r**2 - 1/9*r**3. Find n, given that g(n) = 0.
-3, -1
Let j(c) = -c**3 + c**2 + c - 5. Let i(f) = -f**3 - 4. Let t = 7 + -10. Let x(k) = t*j(k) + 4*i(k). Suppose x(s) = 0. What is s?
-1
Factor 0 + 48/5*g**2 + 44/5*g**3 + 2/5*g**5 + 16/5*g**4 + 18/5*g.
2*g*(g + 1)**2*(g + 3)**2/5
Factor -8/13 + 2/13*d**2 + 6/13*d.
2*(d - 1)*(d + 4)/13
Suppose -2*s = 6, -4*c + 4*s + 10 = -2. Let y(q) be the first derivative of 1/18*q**3 + 1/36*q**6 + 1/10*q**5 + 0*q**2 + c*q + 10 + 1/8*q**4. Solve y(g) = 0.
-1, 0
Let r = -37397/2 - -18700. Suppose -3/2 - 3*f - r*f**2 = 0. What is f?
-1
Let d(x) be the second derivative of -x**4/20 + 8*x**3/5 - 96*x**2/5 + 2*x + 2. Factor d(n).
-3*(n - 8)**2/5
Let r(n) be the third derivative of -n**7/42 - 3*n**6/8 - 5*n**5/2 - 55*n**4/6 - 20*n**3 - 2*n**2 - 7*n. Factor r(v).
-5*(v + 2)**3*(v + 3)
Suppose g - 27*t = -24*t + 1, -4*t = 2*g - 12. Let o(f) be the first derivative of 0*f**2 + 2/25*f**5 - 1/30*f**6 - 1/20*f**g + 0*f + 0*f**3 - 6. Factor o(u).
-u**3*(u - 1)**2/5
Let r be (0*10/(-100))/4. Let i(u) be the first derivative of -2/5*u**5 - 1/2*u**4 + u**2 + r*u + 2/3*u**3 - 10. Factor i(m).
-2*m*(m - 1)*(m + 1)**2
Let k be 15/10*(-72)/(-27). Let b(i) be the second derivative of -1/150*i**6 + 0*i**2 + 1/60*i**k - 12*i - 1/100*i**5 + 0 + 0*i**3 + 1/210*i**7. Factor b(l).
l**2*(l - 1)**2*(l + 1)/5
Let f be 24*(2*(-6)/8 + 2). Solve f*i**4 - 6*i**3 - 2*i**2 - 6*i**3 - 6 + 15*i - 4*i**2 - 3*i**5 + 0*i**2 = 0 for i.
-1, 1, 2
What is u in 0 - 1/4*u**3 - 1/2*u**2 + 0*u = 0?
-2, 0
Let l be (-1 + 1)*2/(-6). Let z be (4 - (0 + l))*2. Factor v**3 - 5*v**2 + z*v**2 + 3*v**3 + v**2.
4*v**2*(v + 1)
Let w(z) = z + 13. Let p be w(-12). Let v be (0 - 1)/p*-21. Suppose v*b - b**2 + b**3 - 12*b + b**4 - 10*b = 0. What is b?
-1, 0, 1
Find p, given that 4/11*p**2 - 72/11 - 2/11*p**3 + 30/11*p = 0.
-4, 3
Let p(n) = 2*n**2 - 45*n + 24. Let q be p(22). Let m(g) be the first derivative of 0*g + 1/7*g**q + 3 + 1/14*g**4 + 4/21*g**3. Solve m(l) = 0 for l.
-1, 0
Let o = 2/20965 - -20959/62895. Factor o*g**3 + 0 + 0*g**2 + 1/12*g**4 + 0*g.
g**3*(g + 4)/12
Suppose -69*s**2 - 145*s - 80*s**2 + 154*s**2 + 541 + 59 = 0. Calculate s.
5, 24
Let g = 9 + -6. Factor -k**2 - 4*k - 195 + 203 - g*k**2.
-4*(k - 1)*(k + 2)
Factor 3*w**5 - 5*w**5 - 2*w**5 + 3*w**5 + w**4.
-w**4*(w - 1)
Let a(g) be the first derivative of 1/6*g**2 + 1/18*g**4 + 4 + 4*g - 1/4*g**3. Let k(q) be the first derivative of a(q). Suppose k(z) = 0. What is z?
1/4, 2
Let u(x) be the first derivative of x**4 + 4*x**3 - 3*x + 23. Let z(o) = -4*o**3 - 12*o**2 + 2. Let b(j) = 2*u(j) + 3*z(j). Find q, given that b(q) = 0.
-3, 0
Suppose 3*y - 4*g - 4 = -14, -2 = y - g. Let m(h) = h - 1. Let n(a) = -3*a**2 - 5*a + 8. Let w(b) = y*m(b) + n(b). Determine u, given that w(u) = 0.
-2, 1
Let x(n) = -n**2 - n + 1. Let w(q) = -4*q**2 + 8*q - 15. Let c(t) = w(t) - 3*x(t). Factor c(m).
-(m - 9)*(m - 2)
Factor -4/3*y**3 + 0*y + 3/2*y**5 + y**4 + 0*y**2 + 0.
y**3*(3*y - 2)*(3*y + 4)/6
Let k = 2389/2 - 1194. Factor d**3 + k*d**4 + 0*d**2 - 1/2 - d.
(d - 1)*(d + 1)**3/2
Let c be ((-180)/(-100))/((-1)/(-5)). Let n be 1/c + 2/45*5. Find f such that 0 - 1/6*f**4 - 2/3*f**3 - 5/6*f**2 - n*f = 0.
-2, -1, 0
Let p(s) be the third derivative of s**6/80 + s**5/10 + s**4/16 - 3*s**3/2 + s**2 - 451. Factor p(b).
3*(b - 1)*(b + 2)*(b + 3)/2
Let n be (-6)/(-8) + (-11)/22. Let s be (-18)/(-4) - (-6 - -10). Solve -s + 1/4*r**2 + n*r = 0.
-2, 1
Let r(o) be the first derivative of 2*o**5/5 + 18*o**4 - 76*o**3/3 - 36*o**2 + 74*o - 540. Factor r(i).
2*(i - 1)**2*(i + 1)*(i + 37)
Let z(c) = 3*c**2 - 4*c + 1. Let w be z(2). Let j(i) be the first derivative of 2/3*i**4 - 1 + 4/9*i**3 + 4/9*i**w + 1/9*i**6 + 0*i + 1/9*i**2. Factor j(m).
2*m*(m + 1)**3*(3*m + 1)/9
Suppose 0 = 2*g - 3*g - 6*g. Let t(p) be the second derivative of 4/3*p**3 + 0 + 1/3*p**4 - p + g*p**2. Solve t(x) = 0.
-2, 0
Let p be 2 + -5 + -7*(0 + -1). Let o be p/((-308)/(-7))*2. Factor 0 - 6/11*i**4 + 0*i**2 + 4/11*i**3 + 0*i + o*i**5.
2*i**3*(i - 2)*(i - 1)/11
Find h, given that -h**4 - 912*h**3 + 3*h - 2*h**2 - h**4 + 4*h**4 + 9*h + 900*h**3 = 0.
-1, 0, 1, 6
Let p = -1264/3 + 422. Let c(j) be the second derivative of 6*j + 1/30*j**5 + 0 - 1/3*j**3 - p*j**2 + 0*j**4. Suppose c(x) = 0. What is x?
-1, 2
Let z be ((-1638)/105 - -16)*5. Let 2/3*y**2 + 8/3*y + z = 0. What is y?
-3, -1
Let y(b) be the second derivative of 0*b**5 - 13*b - 1/30*b**6 + 1/12*b**4 + 0 + 0*b**3 + 0*b**2. Factor y(m).
-m**2*(m - 1)*(m + 1)
Suppose 3*y - 16 = -y. What is k in -5*k**3 - k**3 + y*k**3 - 4*k**2 = 0?
-2, 0
Let j be 0 + (-45)/(-6) + 3/6. Suppose j*p = 6*p + 4. Factor 2/7*n**p + 2/7*n - 2/7*n**3 + 0 - 2/7*n**4.
-2*n*(n - 1)*(n + 1)**2/7
Let h(c) be 