= 29 - 1. Let t = n + -24. Factor 1/2*g**3 + t + 6*g + 3*g**2.
(g + 2)**3/2
Suppose q + 25 = 4*y, 14*y - 12*y - 5*q - 35 = 0. Find z, given that 4/5*z**4 + 0*z**2 + 2/5*z**y + 0*z + 2/5*z**3 + 0 = 0.
-1, 0
Let t = -7 - -12. Let f be ((-32)/(-60))/(-1)*25/(-60). Factor 0*z**2 + 0*z**4 - f*z**t + 0*z + 0*z**3 + 0.
-2*z**5/9
Let h(l) be the third derivative of l**8/1176 - 8*l**7/735 + l**6/70 + 4*l**5/105 - l**4/12 - l**2 + 5*l. Solve h(j) = 0.
-1, 0, 1, 7
Let x(p) = p**3 + 6*p**2 - 4*p - 8. Let o be x(-6). Let l be 15/6*o/70. Solve 2/7*a + l*a**2 - 2/7*a**3 - 4/7 = 0 for a.
-1, 1, 2
Suppose 3*k + 2*b = 7*k - 24, -3*k = 3*b - 9. Let -1/5*n**3 + 1/5*n**4 + 1/5*n**k + 0 + 0*n - 1/5*n**2 = 0. What is n?
-1, 0, 1
Let a(h) = -h**2 - 1. Let z be (-2)/(-4) + (-3)/2. Let x(g) = -g**3 + 2*g**2 + g + 2. Let q(u) = z*x(u) - 2*a(u). Solve q(r) = 0 for r.
-1, 0, 1
Let d = 54/25 - -967/50. Let m = 22 - d. Factor m*v**3 + 0 + 0*v + v**2.
v**2*(v + 2)/2
Suppose -4*o - 2*y + 21 = 7, 10 = 5*o - 5*y. Suppose 5*h = o*w - 6, -5*h + 4 - 2 = w. Solve -1/2*k**2 + h - 1/2*k = 0 for k.
-1, 0
Suppose 0 = -4*v + 9*v - 45. Let c be -9 + 5 - (-138)/v. Let -8/3 + 98/3*x**5 + 14*x**4 - 146/3*x**3 + 16*x - c*x**2 = 0. Calculate x.
-1, 2/7, 1
Let v(b) be the second derivative of -b**5/3 + 3*b**4 + 16*b**3/3 + 7*b**2/2 - 10*b. Let f(r) be the first derivative of v(r). Factor f(i).
-4*(i - 4)*(5*i + 2)
Let h(f) = -7*f**5 + 15*f**4 + 17*f**3 + 5*f**2 - 5*f + 5. Let z(a) = -4*a**5 + 8*a**4 + 9*a**3 + 3*a**2 - 3*a + 3. Let y(s) = -3*h(s) + 5*z(s). Factor y(i).
i**3*(i - 6)*(i + 1)
Let t(i) = -i**3 + 7*i**2 - 7*i - 13. Let q be t(5). Let -v + 1/2*v**4 + 5/2*v**2 - q*v**3 + 0 = 0. What is v?
0, 1, 2
Solve -4/5*j + 6/5*j**3 + 11/5*j**2 - 4/5 - 9/5*j**4 = 0.
-2/3, 1
Let a(j) be the first derivative of j**6/9 - 6. Let a(m) = 0. Calculate m.
0
Suppose -1 = f - 13. Determine x, given that 11*x**3 - 2*x**2 + 22*x**2 + 69*x**4 - f*x**5 + 4*x - 92*x**4 = 0.
-2, -2/3, -1/4, 0, 1
Let p(v) = -v**2 + 5*v - 4. Let k be p(3). Suppose -3*s = -5*o + 22, k*o + 2*o = 4*s + 16. What is c in -2*c + 2*c**2 - s + 0*c**2 - 3 = 0?
-1, 2
Suppose -3*m + 20 = 7*m. Solve 0 + 2/9*u**3 - 2/9*u**4 + 4/9*u**m + 0*u = 0 for u.
-1, 0, 2
Let o(t) = 32*t**2 + 18*t - 14. Let y(r) = -11*r**2 - 6*r + 5. Let c(b) = 3*o(b) + 8*y(b). Factor c(v).
2*(v + 1)*(4*v - 1)
Let v = 2 - 7. Let d = 9 + v. Suppose 0*q**3 - 3/2*q**2 - q + 0 + 1/2*q**d = 0. What is q?
-1, 0, 2
Factor -8/3*l + 0 - 20/3*l**2 - 8/3*l**3.
-4*l*(l + 2)*(2*l + 1)/3
Let f(p) be the first derivative of -p**6/1080 - p**5/180 - p**4/72 + 4*p**3/3 - 4. Let u(y) be the third derivative of f(y). Let u(l) = 0. Calculate l.
-1
Let o be 16/4 + -8 - -7. Let d(x) be the third derivative of 1/54*x**4 - 1/27*x**o + 0 + x**2 + 0*x - 1/270*x**5. Suppose d(y) = 0. What is y?
1
Factor -10*o**5 + 1 + 32*o**2 - 56*o**3 + 48*o**4 - 3*o**5 - 3*o**5 - 9*o.
-(o - 1)*(2*o - 1)**4
Find q, given that 24*q**2 + 16 - q - 15*q - 20*q**2 = 0.
2
Let y be (-44)/(-6) - (1 + (7 - 4)). Factor -2/3*t**5 + 0 - 8/3*t**4 - 4/3*t**2 - y*t**3 + 0*t.
-2*t**2*(t + 1)**2*(t + 2)/3
Let 8/7*s - 2/7*s**2 - 8/7 = 0. Calculate s.
2
Let m be (16/(-24))/((-2)/21). Let n = -2 + m. Determine p, given that -2*p**2 + 125/4*p**n + 15*p**3 + 0 + 0*p - 75/2*p**4 = 0.
0, 2/5
Suppose -6*j + 2*j + 8 = 0. Solve 9*n**3 - 6*n**3 + 2*n**j - n**3 = 0.
-1, 0
Suppose 12 = -4*y - 0. Let r = -19 + 11. Let h(i) = i**3 + 4*i**2 - 3*i + 3. Let s(m) = -3*m**3 - 11*m**2 + 8*m - 8. Let d(f) = r*h(f) + y*s(f). Factor d(w).
w**2*(w + 1)
Let r = 49 + -49. Let r - 2/7*b**2 + 2/7*b = 0. Calculate b.
0, 1
Find f such that 3/5*f**3 - 1/5*f**2 + 1/5*f**4 - 1/5*f**5 + 0 - 2/5*f = 0.
-1, 0, 1, 2
Let w(d) = d**3 + d**2 - d + 1. Let a(q) = 3*q**3 - q**2 - 6*q - 2. Let j(v) = -a(v) + 2*w(v). Let k be j(4). Factor 3*m**4 + 2*m**4 - 2*m**5 - 2*m**3 - m**k.
-2*m**3*(m - 1)**2
Let f(m) = -2*m - 7. Let h(c) = -2*c - 8. Let g(n) = 4*f(n) - 3*h(n). Let k be g(-3). Factor 4*v - v + 0*v + 6*v**k + 3*v**4 + 3*v**2 + 9*v**3.
3*v*(v + 1)**3
Let v(a) = 2*a - 9. Let l be v(7). Let k be -2*(-2)/(-4) + l. Find j, given that 6*j - k + 10*j**3 - 18*j**2 - 2*j**4 + 2*j + 6*j = 0.
1, 2
Let f(p) = -3*p**2 - 30*p + 75. Let i(s) = 5*s**2 + 60*s - 150. Let z(y) = 11*f(y) + 6*i(y). Factor z(m).
-3*(m - 5)**2
Let p(d) = 16*d**3 + 31*d**2 + 8*d - 1. Let m(w) = -32*w**3 - 61*w**2 - 16*w + 3. Let q(i) = -3*m(i) - 5*p(i). Factor q(y).
4*(y + 1)**2*(4*y - 1)
Let l(j) be the third derivative of -2*j**7/315 + j**6/60 + j**5/30 - j**4/18 + 56*j**2 - 2. Find r, given that l(r) = 0.
-1, 0, 1/2, 2
Solve 1/4*b + 1/2*b**2 + 0 + 1/4*b**3 = 0 for b.
-1, 0
Suppose -2*x + 2 = -d + 6, 0 = x. Let k(h) be the first derivative of h**3 - 1 + 0*h**2 + 0*h - 3/8*h**d - 3/10*h**5. Find y such that k(y) = 0.
-2, 0, 1
Let w(i) = -30*i**3 + 170*i**2 - 175*i - 100. Let b(a) = -a**3 + a**2 + a. Let g(p) = 5*b(p) - w(p). Factor g(k).
5*(k - 5)*(k - 2)*(5*k + 2)
Let v = -10 + 14. Determine z, given that 174 - 174 - 8*z + 36*z**2 - 48*z**4 - v*z**3 = 0.
-1, 0, 1/4, 2/3
Let j(k) be the first derivative of -8*k**5/65 - 2*k**4/13 + 2*k**3/13 + 4*k**2/13 + 2*k/13 + 35. Find h, given that j(h) = 0.
-1, -1/2, 1
Suppose -2/5*m**5 + 0*m + 2/5*m**3 - 2/5*m**2 + 0 + 2/5*m**4 = 0. Calculate m.
-1, 0, 1
Let a(b) = b**2 - 9*b - 1. Let l be a(8). Let x be (l/(-30))/(6/5). Find t such that -1/4*t**5 + 0 + 1/2*t**3 + 0*t**2 + 0*t**4 - x*t = 0.
-1, 0, 1
Let b(a) be the third derivative of a**6/210 - 4*a**5/105 + 2*a**4/21 - 2*a**2. Factor b(s).
4*s*(s - 2)**2/7
Let l(b) be the third derivative of b**7/105 - b**5/10 - b**4/6 - 4*b**2. Find j, given that l(j) = 0.
-1, 0, 2
Let d(r) be the third derivative of r**5/15 - r**4/2 + r**2 - 3*r. Factor d(c).
4*c*(c - 3)
Factor 16/5*g - 8/5 + 2*g**2.
2*(g + 2)*(5*g - 2)/5
Let v = -5 + 8. Let w**3 + 2*w**v - 2*w**3 = 0. What is w?
0
Suppose 0*f + f = 1. Let t be -1*(f - (-12)/(-2)). Factor -5*h**3 - 3*h**t + 2*h**3 - 2*h**2 + 2*h**4 + 6*h**5.
h**2*(h - 1)*(h + 1)*(3*h + 2)
Let i = 5 + 0. Let u(g) = i*g - 1 - 4*g + 0*g. Let h(r) = r**3 + r**2 + 2*r - 2. Let z(q) = h(q) - 2*u(q). What is j in z(j) = 0?
-1, 0
Let w be (-1)/9*25 + (-8 - -11). Let o(s) be the first derivative of -1/6*s**4 + 1/6*s**2 + 2 - w*s**3 + 1/18*s**6 + 1/15*s**5 + 1/3*s. Factor o(j).
(j - 1)**2*(j + 1)**3/3
Let s be 70/(-21) + 3 - 2/(-6). Solve 0*x + s*x**3 + 6/5*x**4 + 0 - 4/5*x**5 - 2/5*x**2 = 0.
-1/2, 0, 1
Let n(h) be the third derivative of -2*h**7/105 - h**6/30 + 4*h**5/15 + 2*h**4/3 - 9*h**2. Let n(k) = 0. Calculate k.
-2, -1, 0, 2
Suppose -6*r + 24 = 6. Factor 0 + 1/5*s**4 - 1/5*s**2 + 1/5*s**r + 0*s - 1/5*s**5.
-s**2*(s - 1)**2*(s + 1)/5
Factor 0 + 0*z**3 - 8/7*z**4 + 8/7*z**2 - 4/7*z**5 + 4/7*z.
-4*z*(z - 1)*(z + 1)**3/7
Let f(a) be the third derivative of a**6/240 + a**5/40 + a**4/24 + 4*a**2. Solve f(h) = 0.
-2, -1, 0
Let u(o) be the first derivative of -1/10*o**5 - 8 - 3/8*o**4 + 0*o - 1/2*o**2 + 1/12*o**6 + 5/6*o**3. Determine k, given that u(k) = 0.
-2, 0, 1
Let r(i) be the third derivative of i**7/210 + i**6/60 + i**5/60 - 3*i**2. Factor r(p).
p**2*(p + 1)**2
Let a be 21/108 - (52/(-16) + 3). Factor -a - 2/3*z - 2/9*z**2.
-2*(z + 1)*(z + 2)/9
Find d such that -8*d + 8*d**3 - 4*d**5 + 4*d**4 + d**3 + 3*d**3 - 4*d**2 = 0.
-1, 0, 1, 2
Let -3/4*j + 0*j**2 - 1/2 + 1/4*j**3 = 0. Calculate j.
-1, 2
Let y(k) be the second derivative of 0 - 1/20*k**6 + 3/40*k**5 + 0*k**2 - 1/4*k**3 - 2*k + 1/8*k**4. Let y(x) = 0. Calculate x.
-1, 0, 1
Suppose 6*p + 2*p - 16 = 0. Suppose 2/7*o**p + 4/7 + 6/7*o = 0. Calculate o.
-2, -1
Let t be (-1 + 17)/(-4) + 4. Let 9*x + t*x**3 + 0*x**3 - 5*x**2 + x**3 - 3 - 2*x = 0. Calculate x.
1, 3
Let b(d) = -3*d**2 + 13*d + 5. Let p(q) = -3*q**2 + 14*q + 4. Let a(j) = -4*b(j) + 5*p(j). Factor a(y).
-3*y*(y - 6)
Let b(g) = 24*g - 408. Let y be b(17). What is z in y - 3/5*z**2 + 0*z**3 - 1/5*z + 4/5*z**4 = 0?
-1/2, 0, 1
Let c(n) be the first derivative of -n**4/16 + 7*n**3/6 - 49*n**2/8 + 4. Factor c(i).
-i*(i - 7)**2/4
Let y be 2/(-4 - 36/(-8)). Factor x**3 - 7 - 6*x**3 + 3 - 2*x**y - 2*x + 6*x**2 + 7*x**3.
-2*(x - 2)*(x - 1)*(x + 1)**2
Let c = 1 + 1. Determine i so that c*i - 2 + i**2 + 0 + i - 2*i = 0.
-2, 1
Let h be -8 + 9 + (-238)/240. Let f(z) be the third derivative of 0*z - z**2