*b + 2*b = -35. Let v be -8*6/(-24)*(-9)/(-6). Factor 22*l + v*l**3 + 0*l**2 + 15*l**4 - 16*l + 3*l**2 - z*l**3.
3*l*(l - 1)**2*(5*l + 2)
Suppose -19 = 7*x + 2. Let t(n) = 2*n**3 + 6*n**2 - 2*n - 4. Let z be t(x). Suppose -9/2*v + 1 + 7/2*v**z = 0. Calculate v.
2/7, 1
Let z(r) = -6*r**3 - 15*r**2 + 3*r + 9. Let b = -15 + 24. Let q(d) = 10*d**2 - 2*d - 4 - 14*d**2 + 3*d**3 + 11*d**2. Let n(g) = b*q(g) + 4*z(g). Solve n(i) = 0.
-2, 0, 1
Let b(r) be the third derivative of r**8/2520 + 13*r**7/2520 + r**6/120 - r**5/20 + 11*r**2. Let i(k) be the third derivative of b(k). Let i(l) = 0. What is l?
-3, -1/4
Let o(h) be the third derivative of h**5/30 - h**4/6 - 19*h**2 - 9. Solve o(l) = 0.
0, 2
Determine o so that 0 + 0*o + 1/2*o**4 + 9/8*o**3 + 1/4*o**2 = 0.
-2, -1/4, 0
Let c(m) be the second derivative of -m**8/26880 - m**7/2520 - m**6/576 - m**5/240 + 5*m**4/4 + m. Let u(h) be the third derivative of c(h). Factor u(j).
-(j + 1)**2*(j + 2)/4
Let s(y) be the first derivative of 24*y**5/5 + 3*y**4/4 - 8*y**3 - 3*y**2/2 + 367. Find b, given that s(b) = 0.
-1, -1/8, 0, 1
Suppose o + 30 = -3*o - 3*k, -19 = 3*o + 4*k. Let i = 13 + o. Solve -2*m**i + 2*m**2 - 82*m + 82*m = 0 for m.
-1, 0, 1
Let q(j) be the third derivative of -j**7/3780 + j**5/180 - j**4/2 - 12*j**2. Let s(y) be the second derivative of q(y). Factor s(t).
-2*(t - 1)*(t + 1)/3
Let q(w) = 2*w**3. Suppose 4*g - 3*b + 5*b = 0, 0 = -g + b + 3. Let m be q(g). Solve m*o + 14*o**3 - 6*o**2 - 17*o**3 - 5*o + 2 - 2*o**2 = 0 for o.
-2, -1, 1/3
Let j be (-72)/180 - (-136)/140. Find c, given that j + 12/7*c**2 + 4/7*c**3 + 12/7*c = 0.
-1
Let p(w) = -w**3 + 7*w**2 - 6*w + 9. Let r be p(6). Let y be (-4)/(-8)*24/r. Factor 0 + 2/3*z - y*z**2 + 2/3*z**3.
2*z*(z - 1)**2/3
Let c(x) be the third derivative of -x**8/560 - x**7/175 + 3*x**6/200 + 2*x**5/25 + x**4/10 - 45*x**2 - 2. Solve c(t) = 0 for t.
-2, -1, 0, 2
Let y(l) = -5*l**2 + 119*l - 124. Let o(v) = -36*v**2 + 834*v - 873. Let u(m) = 2*o(m) - 15*y(m). Factor u(x).
3*(x - 38)*(x - 1)
Find j such that -3/2*j**2 - 99/8*j - 3 = 0.
-8, -1/4
Let x be (6*(-44)/33)/(-92). Find g such that 0 + 2/23*g**5 + 0*g**4 + 0*g**2 - 4/23*g**3 + x*g = 0.
-1, 0, 1
Let y(q) be the second derivative of -q**6/30 - 7*q**5/20 + 13*q**4/4 - 53*q**3/6 + 11*q**2 - 45*q. Factor y(w).
-(w - 2)*(w - 1)**2*(w + 11)
Let j(m) be the second derivative of -m**7/231 - 49*m**6/165 - 467*m**5/110 + 3217*m**4/66 - 1872*m**3/11 + 2916*m**2/11 + 352*m. Find d such that j(d) = 0.
-27, 1, 2
Factor -66/17 + 64/17*r + 2/17*r**2.
2*(r - 1)*(r + 33)/17
Let q(a) be the second derivative of 200/3*a**3 - 5/42*a**7 - 2 + 0*a**5 - a - 5/6*a**6 + 50/3*a**4 + 120*a**2. Find w such that q(w) = 0.
-2, 3
Let l be ((-1)/(-28))/(20/320*12). Let n(o) be the second derivative of -1/126*o**4 + l*o**2 + 9*o + 0 + 0*o**3. Solve n(f) = 0 for f.
-1, 1
Let b(v) be the second derivative of v**5/60 + 7*v**4/108 + 5*v**3/54 + v**2/18 + 15*v + 1. Factor b(a).
(a + 1)**2*(3*a + 1)/9
Let f(i) be the third derivative of -1/60*i**5 + 0 + 0*i - 2*i**2 - 1/6*i**3 - 1/12*i**4. Suppose f(s) = 0. Calculate s.
-1
Let t(b) be the third derivative of -b**6/1320 - b**5/60 - 19*b**4/264 - 3*b**3/22 + 2*b**2 - 2*b. Find s, given that t(s) = 0.
-9, -1
Let z be 67/2 - (-2)/(-4). Let a = 38 - z. Find n such that -35*n**3 + n**a + n**5 + 33*n**3 = 0.
-1, 0, 1
Let o(s) be the third derivative of s**7/315 - 7*s**6/54 + 76*s**5/135 - 53*s**4/54 + 7*s**3/9 - 122*s**2. Solve o(x) = 0 for x.
1/3, 1, 21
Let q = 227 + -223. Let c(f) be the third derivative of 0*f - 1/10*f**5 + 0 - 4/21*f**3 + 6*f**2 - 5/21*f**q. Determine g so that c(g) = 0.
-2/3, -2/7
Let s = 46 + -44. Factor 8*h - 16 - 2*h - 2*h**3 - 30*h - 12*h**s.
-2*(h + 2)**3
Let k(o) be the first derivative of -35/36*o**6 + 35/12*o**4 - 1 + 13/10*o**5 - 2/3*o**3 + 0*o - 2/3*o**2. Find d, given that k(d) = 0.
-1, -2/7, 0, 2/5, 2
Let i = 4825 + -14353/3. Let n = -40 + i. Factor -2/3*a**3 + 2/3*a + 2/3 - n*a**2.
-2*(a - 1)*(a + 1)**2/3
Let d(j) be the third derivative of j**8/560 + j**7/350 - j**6/50 - j**5/25 + 20*j**2. What is n in d(n) = 0?
-2, -1, 0, 2
Let x(l) be the first derivative of l**4/18 - l**3 + 8*l**2/3 + 30*l + 5. Let f(u) be the first derivative of x(u). Let f(k) = 0. Calculate k.
1, 8
Suppose k + 2 - 8 = 0. Let p(a) = -2*a + 14. Let z be p(k). Factor -2*l**2 - 5*l**2 - 3*l**2 + 5*l**2 - l**5 + 3*l**3 + z*l + l**4.
-l*(l - 1)**3*(l + 2)
Let j be (-2)/(-4) - (57/(-6) - -6). Determine n so that -n**2 + 663*n - 12 - j*n**3 - 3*n**2 - 643*n = 0.
-3, 1
Let y be ((-48)/10)/((-1782)/(-600) - 3). Factor -y*v - v**2 + 79*v + 78*v.
-v*(v + 3)
Suppose -j - 152 = -5*n, 22 = n + 4*j - 0*j. Let a be ((-24)/100)/((-9)/n). Suppose -13/5*f**2 + a + f**3 + 4/5*f = 0. Calculate f.
-2/5, 1, 2
Solve -1/4*l**2 + 0 - 1/2*l = 0.
-2, 0
Let i = -2379 + 26177/11. Let v(m) be the first derivative of 0*m**2 + 2/33*m**3 - 2 - i*m. Let v(x) = 0. Calculate x.
-2, 2
Let i be 18*(6064/336 - 18). Determine s, given that 0 - 3/7*s**4 + i*s - 6/7*s**3 + 3/7*s**2 = 0.
-2, -1, 0, 1
Let z(p) be the first derivative of -p**5/30 + 7*p**4/12 - 35*p**2/2 - 2*p + 43. Let b(x) be the second derivative of z(x). Let b(j) = 0. What is j?
0, 7
Let u be ((-12)/(-18)*-3)/(-1). Find x such that 32 - 4*x**4 - 24*x**u - 19*x**3 + x - x**3 + 15*x = 0.
-2, 1
Let p(v) = -v + 1. Let h(a) be the third derivative of -a**5/15 - a**4/8 + a**3/6 + 24*a**2. Let t(c) = -2*h(c) - 6*p(c). Factor t(o).
4*(o + 2)*(2*o - 1)
Determine d, given that 16/11*d + 2/11*d**2 + 0 = 0.
-8, 0
Suppose 8*u - j + 20 = 12*u, 5*u - 5*j = 50. Let z(l) be the second derivative of 0*l**4 + 0 + 0*l**3 + 0*l**5 - 1/150*l**u - 13*l + 0*l**2. Factor z(m).
-m**4/5
Let r = 3 - 0. Let 8*b**r - 5*b**2 + 3 - 5*b**4 + 2*b**4 - 2 - b**2 = 0. What is b?
-1/3, 1
Let b = -47422/63 + 6784/9. What is p in 4/7*p**2 - 4/21 + b*p = 0?
-2, 1/6
Let 74/7*g**2 + 6/7*g**3 - 52/7*g + 0 = 0. Calculate g.
-13, 0, 2/3
Let u be (9/(-1))/(289/(-17) + 14). Let f(c) be the third derivative of 0 - 1/6*c**4 + 8*c**2 + 1/30*c**6 + 1/15*c**5 + 0*c - 2/3*c**u. Factor f(s).
4*(s - 1)*(s + 1)**2
Let 4*z**3 + 388*z - 56*z**2 + 144 - 176*z - 128*z = 0. What is z?
-1, 3, 12
Let d = -609 + 609. Let m(h) be the second derivative of 1/12*h**4 + 0*h**2 + 0*h**3 + 4*h + d - 1/30*h**6 + 0*h**5. Suppose m(n) = 0. Calculate n.
-1, 0, 1
Let p(t) be the first derivative of -t**7/91 + 2*t**6/195 + t**5/130 + 6*t - 7. Let i(k) be the first derivative of p(k). Let i(c) = 0. What is c?
-1/3, 0, 1
Let a = 4 - 2. Let i = 37 - a. Let 91/4*l**2 - i*l**4 + 9/4*l**3 + 1 + 9*l = 0. Calculate l.
-2/5, -2/7, -1/4, 1
Let t(u) be the first derivative of -2*u**3/9 - 6*u**2 - 34*u/3 - 751. Solve t(p) = 0 for p.
-17, -1
Let f(x) be the third derivative of 0*x + 1/525*x**7 + 1/1680*x**8 + 0*x**4 - 1/150*x**5 + 1 + 0*x**3 + 4*x**2 - 1/600*x**6. Factor f(s).
s**2*(s - 1)*(s + 1)*(s + 2)/5
Let m(k) = -k + 2. Let z be m(-6). Suppose 0 = -4*b + z. Factor -l - 5*l**b + 2*l**2 - 3*l**2 + 5*l**2.
-l*(l + 1)
Let y(d) be the first derivative of 1/16*d**4 + 0*d**2 + 0*d + 1/6*d**3 + 7. Factor y(k).
k**2*(k + 2)/4
Let q(f) be the second derivative of -f**5/60 - 35*f**4/36 - 17*f**3/9 - 9*f - 13. What is u in q(u) = 0?
-34, -1, 0
Factor 352/3*g + 2/9*g**3 - 128 + 94/9*g**2.
2*(g - 1)*(g + 24)**2/9
Let z(l) be the third derivative of 0 - 13*l**2 + 1/20*l**6 + 2/63*l**8 - 8/105*l**7 + 0*l + 0*l**3 + 0*l**4 - 1/90*l**5. Find h such that z(h) = 0.
0, 1/4, 1
Let m = -5 + 11/2. Let b = -5173 - -31039/6. Factor 1/3*v - b + m*v**2.
(v + 1)*(3*v - 1)/6
Let r(l) be the first derivative of -5*l**3/3 + 430*l**2 - 36980*l + 105. What is y in r(y) = 0?
86
Solve -1/2*v**2 - 1/4*v**3 + 8*v + 24 = 0 for v.
-4, 6
Suppose -2*a - 17 = -n, -5*n + 19 = 3*a - 2*a. Let o(q) = q + 13. Let l be o(a). Find g, given that l*g**2 - 3*g**2 + 3*g - 5*g - 2*g = 0.
0, 1
Factor 66266*p - p**2 + 105 - 66286*p - 4*p**2.
-5*(p - 3)*(p + 7)
Factor 3/5*n**2 + 3/5*n - 36/5.
3*(n - 3)*(n + 4)/5
Let r(f) be the first derivative of 0*f + 1/40*f**6 - 4 + 4*f**2 - 1/3*f**3 - 2/15*f**5 + 7/24*f**4. Let l(b) be the second derivative of r(b). Factor l(z).
(z - 1)**2*(3*z - 2)
Let t be 15/(-45)*(-18)/14. Let w = t + -1/35. Determine i so that -2/5*i**3 + 0 + 0*i + 2/5*i**4 + 2/5*i**5 - w*i**2 