t(m) = 0.
-1, 0, 2/3
Suppose 87 = -2*l - 5*h, -h = l - 5*h + 37. Let x = 41 + l. Find u, given that x*u - 2/11*u**2 + 0*u**3 + 2/11*u**4 + 0 = 0.
-1, 0, 1
Let l(o) be the first derivative of -o**5/10 - 3*o**4/8 - o**3/3 + 8. Factor l(f).
-f**2*(f + 1)*(f + 2)/2
Let l(c) be the third derivative of c**7/735 + c**6/210 - c**4/42 - c**3/21 + 2*c**2. Factor l(i).
2*(i - 1)*(i + 1)**3/7
Let y = 1/247 + 232/3705. Let f(i) be the second derivative of 0 + 3/50*i**5 - 2/75*i**6 + 2*i + 1/30*i**3 + 0*i**2 + 1/210*i**7 - y*i**4. Solve f(m) = 0.
0, 1
Let s(b) be the second derivative of 16/21*b**3 + 2/21*b**6 + 8/7*b**2 + 0 + 6*b - 3/7*b**4 - 8/35*b**5. Let s(h) = 0. Calculate h.
-1, -2/5, 1, 2
Let x(h) be the third derivative of h**8/80640 - h**6/2880 + h**5/20 + 4*h**2. Let y(p) be the third derivative of x(p). Factor y(n).
(n - 1)*(n + 1)/4
Let r(h) be the second derivative of 2/3*h**3 + 0 - 3/2*h**2 - 1/12*h**4 + 2*h. Factor r(y).
-(y - 3)*(y - 1)
Let b(u) be the third derivative of -u**7/525 + u**5/75 - u**3/15 - 3*u**2. Factor b(j).
-2*(j - 1)**2*(j + 1)**2/5
Let v = -48 - -83. Suppose 3*x + 5*m = v, 2*x - 11 = -x + m. Factor -5 + p**3 + x.
p**3
Let c = -1696/7 + 244. Solve -3/7 - 9/7*g**4 + 6/7*g**3 + c*g**2 - 6/7*g = 0 for g.
-1, -1/3, 1
Let i(a) = -28*a. Let u be i(-1). Factor -t**2 - 2 + u*t + 0 + 6 + 50*t**2.
(7*t + 2)**2
Suppose -3*l = 99 - 105. Determine z so that -1/3 + 0*z + 1/3*z**l = 0.
-1, 1
Suppose -10 = -13*t + 8*t. Factor 1/4*x**t + 0*x - 1/4.
(x - 1)*(x + 1)/4
Let r = -5 - -10. Factor 1/2*g**3 + 0*g**2 + 0*g + g**4 + 0 + 1/2*g**r.
g**3*(g + 1)**2/2
Let l(u) be the third derivative of -u**7/210 + u**6/40 - u**5/20 + u**4/24 + 4*u**2. Solve l(n) = 0 for n.
0, 1
Let w(q) = q + 6. Let n be w(-6). Let h = 3 + n. Find j, given that -3*j**3 + j**4 + j**2 + j**h + 0*j**2 = 0.
0, 1
Let j(h) be the second derivative of 9/2*h**2 - 1/4*h**4 + 0 + h + h**3. Solve j(c) = 0 for c.
-1, 3
Let y(x) = 4*x**5 + x**4 - 8*x**3 + 9*x**2 - x + 5. Let q(g) = -3*g**5 + 7*g**3 - 8*g**2 - 4. Let l(k) = -5*q(k) - 4*y(k). Factor l(j).
-j*(j - 1)*(j + 1)*(j + 2)**2
Let r be -1 - (-4)/(-20)*-382. Let z = r - 75. Factor 2/5*h + 4/5 - z*h**2.
-2*(h - 2)*(h + 1)/5
Let q(n) be the second derivative of -n**6/180 - n**5/120 + n**4/72 + n**3/36 - 16*n. Let q(z) = 0. Calculate z.
-1, 0, 1
Let i(o) be the second derivative of 0*o**2 - 1/100*o**5 - 1/60*o**4 - o + 1/150*o**6 + 1/210*o**7 + 0*o**3 + 0. Factor i(w).
w**2*(w - 1)*(w + 1)**2/5
Suppose 21*w + 4 = i + 16*w, 2*w + 12 = 3*i. Factor -1/3*p**3 + 1/3*p + 1/3*p**i - 1/3*p**2 + 0.
p*(p - 1)**2*(p + 1)/3
Let o be 84/8 + (-3)/(-6). Let m(s) = s - 9. Let w be m(o). What is q in 2/7*q**5 + 0*q + 0 - 6/7*q**3 + 0*q**4 - 4/7*q**w = 0?
-1, 0, 2
Factor 24/5*z + 72/5*z**2 + 2/5.
2*(6*z + 1)**2/5
Let z(q) be the third derivative of 1/144*q**8 + 1/45*q**5 + 1/126*q**7 + 0*q**3 + 0*q - 3*q**2 - 2/45*q**6 + 0 + 0*q**4. Let z(x) = 0. Calculate x.
-2, 0, 2/7, 1
Factor -14/9*p**2 - 4/9 + 2*p.
-2*(p - 1)*(7*p - 2)/9
Let j = 1335 - 9341/7. Factor -2/7*z**3 + 0*z + 0*z**2 - j*z**4 + 0 - 2/7*z**5.
-2*z**3*(z + 1)**2/7
Let t = -6 + 6. Let s be (t - -4)/(22 + -21). Solve -1/4*f + f**2 - 3/2*f**3 + f**s + 0 - 1/4*f**5 = 0.
0, 1
Suppose -7*n + 3*n + 2*y + 18 = 0, -4*n = -5*y - 21. Let t be 2 + 3 + 1*-2. Factor -2*i**2 - 2*i**t - 2*i**n + 2*i**3 + 0*i**4 - 4*i**3.
-2*i**2*(i + 1)**2
Let i(y) be the first derivative of 2/9*y**3 + 2/3*y + 2/3*y**2 + 2. Factor i(a).
2*(a + 1)**2/3
Let k(g) be the third derivative of -1/90*g**6 + 0*g + 1/315*g**7 + 1/90*g**5 - 5*g**2 + 0*g**3 + 0 + 0*g**4. Determine b, given that k(b) = 0.
0, 1
Let b(d) be the first derivative of d**4/12 - 2*d**3/3 + 3*d**2/2 - 36. Factor b(x).
x*(x - 3)**2/3
Suppose -8*v**2 + 2*v**3 - 8*v - 4*v + 3*v**3 - v**3 = 0. Calculate v.
-1, 0, 3
Suppose -3*y = -y - 18. Factor 6*m**5 + y*m**4 + 12*m**2 + 19*m**3 + 2*m + 5*m**3 + 11*m**4.
2*m*(m + 1)**3*(3*m + 1)
Let d = 9/22 - 19/154. Factor d*p**4 + 8/7*p + 8/7 - 4/7*p**3 - 6/7*p**2.
2*(p - 2)**2*(p + 1)**2/7
Let g(k) = -17*k**2 - 18*k - 3. Let f(z) = -35*z**2 - 35*z - 5. Let x(t) = -2*f(t) + 5*g(t). Find a, given that x(a) = 0.
-1, -1/3
Let y = 91 + -451/5. Let o(p) be the first derivative of p**2 - 14/15*p**3 - 3 + y*p. Factor o(u).
-2*(u - 1)*(7*u + 2)/5
Let b be -2*1 + 1 + 55/15. Factor 2/3*k**2 + b - 8/3*k.
2*(k - 2)**2/3
Let m = -4 - -6. Suppose -z = -m*z. Suppose -4/9*u**4 + 2/9*u**5 + z*u + 0*u**2 + 2/9*u**3 + 0 = 0. What is u?
0, 1
Let w(s) = 2*s**3 + s**2 + s - 1. Let h(x) = -x**4 + x**2 + x - 1. Let v(t) = -2*h(t) + 2*w(t). Factor v(z).
2*z**3*(z + 2)
Let a(z) be the second derivative of -z**5/70 + z**3/21 - 7*z. What is d in a(d) = 0?
-1, 0, 1
Factor 0 - 3/7*v**3 - 18/7*v - 15/7*v**2.
-3*v*(v + 2)*(v + 3)/7
Let j = -293/5 + 59. Solve 48/5*v**4 + j*v - 12/5*v**2 + 32/5*v**5 + 2/5*v**3 + 0 = 0 for v.
-1, 0, 1/4
Factor 3*c**2 + 3 - 3 + 9*c**4 - 6*c**3 + 6*c - 12*c**4.
-3*c*(c - 1)*(c + 1)*(c + 2)
Find k, given that -2*k + 23 - 23 + 2*k**3 = 0.
-1, 0, 1
Let z(b) be the third derivative of -b**5/30 + 5*b**4/24 - b**3/3 - 12*b**2. Factor z(s).
-(s - 2)*(2*s - 1)
Let 1/3*g**3 + 2/3*g**4 + 0 + 1/3*g**5 + 0*g + 0*g**2 = 0. What is g?
-1, 0
Solve -4/9*i + 0 + 2/9*i**4 - 8/9*i**3 + 10/9*i**2 = 0.
0, 1, 2
Let i(c) be the second derivative of 0*c**2 + 1/33*c**3 + 0 + 0*c**5 + 1/33*c**4 - 2*c - 1/231*c**7 - 2/165*c**6. Factor i(k).
-2*k*(k - 1)*(k + 1)**3/11
Let n(o) = -321*o**3 + 1113*o**2 - 448*o + 51. Let j(d) = -964*d**3 + 3340*d**2 - 1344*d + 152. Let k(f) = 3*j(f) - 8*n(f). Find s, given that k(s) = 0.
2/9, 3
Let w(m) be the second derivative of m**7/3780 + m**6/540 + m**5/180 - m**4/12 - 3*m. Let s(p) be the third derivative of w(p). Factor s(n).
2*(n + 1)**2/3
Let z(p) be the first derivative of -p**4/14 + 5. Find o, given that z(o) = 0.
0
Let c(d) = -4*d**2 - 7*d - 3. Suppose 5*s - 14 = -4. Let i(l) = l**2 + 2*l + 1. Let y(f) = s*c(f) + 7*i(f). What is x in y(x) = 0?
-1, 1
Find j, given that -207*j**3 - 12*j + 120*j**2 - 39*j**5 - 36*j**5 - 36*j**2 + 210*j**4 = 0.
0, 2/5, 1
Let n(m) be the third derivative of -m**6/20 - 11*m**3/6 - 4*m**2. Let s(o) = -2 - 3 + 1 - 2*o**3. Let j(f) = 4*n(f) - 11*s(f). Factor j(v).
-2*v**3
Let r(n) be the third derivative of -n**8/168 + n**7/15 - 3*n**6/10 + 2*n**5/3 - 2*n**4/3 - n**2 + 48. Suppose r(d) = 0. What is d?
0, 1, 2
Let s be (2/(-6))/(2/(-24)). Suppose 25 = 7*x - 2*x + 5*o, -5*o = -s*x - 7. Factor 2 + 5*g**3 + g**3 + 0 - 2*g**x - 6*g.
2*(g - 1)*(g + 1)*(3*g - 1)
Let 1/4*n**2 - 1/2*n + 0 = 0. What is n?
0, 2
Let k be (7/2*(-27)/63)/(-3). Factor -k*y**2 + 0 + 0*y.
-y**2/2
Let m(b) be the second derivative of b**6/6 - b**5 + 5*b**4/6 + 10*b**3/3 - 15*b**2/2 + 34*b. Let m(c) = 0. What is c?
-1, 1, 3
Let a(f) = f**3 + f**2 - f + 1. Let v(m) = 12*m**3 + 11*m**2 - 15*m + 11. Let d(y) = -22*a(y) + 2*v(y). Factor d(s).
2*s*(s - 2)*(s + 2)
Factor -11/10*v**4 + 2/5*v**5 + 9/10*v**3 + 0 - 1/10*v - 1/10*v**2.
v*(v - 1)**3*(4*v + 1)/10
Determine f, given that 2*f**3 - 3*f**3 + 6*f - 3*f**2 - 5*f**3 + 3*f**4 + 0*f**4 = 0.
-1, 0, 1, 2
Let q(z) = 2*z**2 - z + 1. Let i(g) be the first derivative of g**5/5 - g**4/4 + g**3/3 + g - 5. Let s(r) = i(r) - q(r). Determine o, given that s(o) = 0.
-1, 0, 1
Let o(h) be the second derivative of -9*h**5/140 - h**4/14 + 16*h**3/21 + 16*h**2/7 - 30*h. Factor o(p).
-(p - 2)*(3*p + 4)**2/7
Let u = -2 + -2. Let i be u/(-6) + 2/3. Factor -2/3*t**5 - 2/3*t + 0*t**2 + i*t**3 + 0 + 0*t**4.
-2*t*(t - 1)**2*(t + 1)**2/3
Let x(s) be the first derivative of 2*s**6/21 - s**4/7 + 3. Factor x(o).
4*o**3*(o - 1)*(o + 1)/7
Suppose -37 + 10 = -9*i. Let f(c) be the first derivative of 0*c + 0*c**2 - 2/9*c**3 - 1/6*c**4 - i. Factor f(t).
-2*t**2*(t + 1)/3
Let z be 2/10 - 18/(-10). Let q(a) = -a**2 + 6*a - 8. Let l be q(4). Let -1/2 + l*y**z + y**3 + 1/2*y**4 - y = 0. What is y?
-1, 1
Find u such that 1/2*u**3 + u**2 + 0*u + 0 = 0.
-2, 0
Let g be 42/18 + -1 + -1. What is d in -2*d**3 + 0 + g*d + 0*d**2 + 8/3*d**4 - d**5 = 0?
-1/3, 0, 1
Suppose 3*v + 2*s - 2 = 4, -3*v - s + 6 = 0. Factor 2*i - i + i**v + i.
i*(i + 2)
Let h(r) be the first derivative of r**6/120 - 3*r**5/20 + 9*r**4/8 + r**3/3 + 4. Let u(v) be the third derivative of h(v). Factor u(x).
3*(x - 3)**2
Let s(f) be the first deri