4 - -7. Let x be -3*(v - 2 - 2). Solve 2/3 - 2/3*s**2 - 5/3*s**x + 5/3*s = 0 for s.
-1, -2/5, 1
Let j(t) = 8*t - 1. Let f be j(1). Solve y**3 - f*y**3 - y + 7*y**3 = 0 for y.
-1, 0, 1
Suppose 1/5*z**4 + 0 + 1/5*z**3 - 1/5*z**5 - 1/5*z**2 + 0*z = 0. Calculate z.
-1, 0, 1
Let a(k) be the second derivative of k**7/9 - 4*k**6/15 + k**5/10 + k**4/9 - 2*k. Factor a(o).
2*o**2*(o - 1)**2*(7*o + 2)/3
Let s = -1 - -3. Suppose -32 = -2*o - s*o. Let -1 + 5*j**2 - 25*j**2 - 2*j + 10*j**5 + 5 - o*j**3 + 16*j**4 = 0. Calculate j.
-1, 2/5, 1
Let w(t) be the second derivative of -2/5*t**4 + 0*t**2 - 3/50*t**5 + 1/15*t**6 - 4/15*t**3 + 0 + t. Determine s so that w(s) = 0.
-1, -2/5, 0, 2
Let r(n) be the first derivative of -2*n**5/5 - 5*n**4/2 - 8*n**3/3 - 30. Factor r(j).
-2*j**2*(j + 1)*(j + 4)
Suppose 3*m = 2*m + 4. Factor -3*i**3 - 3*i**3 - i**m - 2*i**4.
-3*i**3*(i + 2)
Find f such that 0 + 54/5*f**5 - 2/5*f + 12/5*f**3 - 72/5*f**4 + 8/5*f**2 = 0.
-1/3, 0, 1/3, 1
Let h be (1 + 1)/(4/8). Let t(k) = -5*k**3 - 4. Let o(c) = c**3 + c**2 - c + 1. Let i(v) = h*o(v) + t(v). Find m such that i(m) = 0.
0, 2
Let y(z) be the first derivative of -2 + 0*z**2 - 1/60*z**6 + 1/12*z**3 + z - 1/8*z**4 + 3/40*z**5. Let l(x) be the first derivative of y(x). Factor l(o).
-o*(o - 1)**3/2
Let r(y) be the first derivative of y**6/12 + 2*y**5/5 + y**4/2 - y**3/3 - 5*y**2/4 - y - 6. Factor r(g).
(g - 1)*(g + 1)**3*(g + 2)/2
Suppose 3*o + 5 = 4*o. Suppose 2*x + 2*x - o*x + x**2 = 0. What is x?
0, 1
Let g = -3 + 6. Suppose 2*k - g*k + 4 = 0. Factor 2*o**3 + 2*o**2 + 2*o**4 + 0*o**4 - k*o**2 - 2*o**5.
-2*o**2*(o - 1)**2*(o + 1)
Let l(c) be the first derivative of -c**6/12 + 7*c**4/8 + c**3 + 8. Determine q, given that l(q) = 0.
-2, -1, 0, 3
Let r(s) = -s**2 - 8*s - 6. Let w be r(-7). Let x = w + 1. Find i such that -3*i**2 + i**x + 3*i**3 - i**5 + 0*i**3 = 0.
-2, 0, 1
Let y(v) be the third derivative of v**6/420 - v**5/105 + v**4/84 + v**2. Solve y(g) = 0 for g.
0, 1
Let l(v) be the second derivative of 0*v**6 - 1/50*v**5 + 0 + 4*v + 1/105*v**7 + 0*v**2 + 0*v**3 + 0*v**4. Let l(y) = 0. What is y?
-1, 0, 1
Let p(v) be the first derivative of -v**6/8 - 3*v**5/20 + 9*v**4/16 + v**3/4 - 3*v**2/4 - 3. Determine u so that p(u) = 0.
-2, -1, 0, 1
Let r = 4/3 + -5/6. Let o(j) = j**2 - 4*j - 3. Let t be o(5). Suppose -1/2*b + 0*b**t + 0 + r*b**3 = 0. What is b?
-1, 0, 1
Let q be (-2)/(((-9)/(-21))/(-3)). Suppose -33*x**2 - 3*x + 16*x**2 + q*x**2 = 0. Calculate x.
-1, 0
Suppose 178*d - 177*d - 2 = 0. Factor -2/3*j**4 + 16/3*j**3 - 32/3 + 64/3*j - 16*j**d.
-2*(j - 2)**4/3
Let n(h) be the second derivative of -25*h**7/98 + 13*h**6/14 - 69*h**5/70 - h**4/14 + h**3/2 + 3*h**2/14 - 7*h. What is w in n(w) = 0?
-1/5, 1
Let q(a) be the first derivative of a**4/6 - 14*a**3/27 + 5*a**2/9 - 2*a/9 - 13. Factor q(u).
2*(u - 1)**2*(3*u - 1)/9
Let a be (-1)/(-4) - (70/(-40))/7. Suppose 0 - 27/4*x**3 - a*x + 13/4*x**2 + 23/4*x**4 - 7/4*x**5 = 0. Calculate x.
0, 2/7, 1
Let g(b) be the first derivative of -b**9/4032 + b**7/560 - b**5/160 + 2*b**3 - 8. Let d(x) be the third derivative of g(x). Factor d(t).
-3*t*(t - 1)**2*(t + 1)**2/4
Suppose 8 = -z + 3*z. Factor 3*y**2 - 5*y**2 + z*y**2 + y + 3*y.
2*y*(y + 2)
Factor -2/11*s**2 + 2/11*s**3 + 0 - 4/11*s.
2*s*(s - 2)*(s + 1)/11
Let x(c) be the second derivative of -2*c**6/25 + 31*c**5/100 - 7*c**4/60 - 8*c**3/15 + 2*c**2/5 - 15*c. Determine r, given that x(r) = 0.
-2/3, 1/4, 1, 2
Let t(g) = g + 10. Let d be t(-8). Let r(h) = -2*h**4 - h**3 - 2*h**2 - 3*h - 3. Let c(q) = -q**4 - q**2 - 2*q - 2. Let u(b) = d*r(b) - 3*c(b). Factor u(m).
-m**2*(m + 1)**2
Let h(q) be the first derivative of -2 - 2/9*q**3 + 2/3*q**2 + 2*q. Suppose h(o) = 0. What is o?
-1, 3
Let y(f) be the second derivative of -2*f**5/5 + f**3 - f**2 - 2*f. Let y(b) = 0. Calculate b.
-1, 1/2
Let m(f) = -3*f**4 + 20*f**3 - 72*f**2 + 92*f - 52. Let c(r) = 24*r**4 - 159*r**3 + 576*r**2 - 735*r + 417. Let w(a) = 4*c(a) + 33*m(a). Factor w(k).
-3*(k - 2)**4
Let b(a) be the third derivative of 0*a - 2*a**2 + 0 - 1/180*a**6 + 0*a**4 + 1/6*a**3 - 1/60*a**5. Let n(p) be the first derivative of b(p). Factor n(v).
-2*v*(v + 1)
Let a(p) be the second derivative of -p**2 + 0*p**3 + p + 1/6*p**4 + 0. Factor a(b).
2*(b - 1)*(b + 1)
Let m(v) = 49*v**3 - 12*v**2 - 35*v + 5. Let j(y) = 25*y**3 - 6*y**2 - 17*y + 2. Let a(d) = -7*j(d) + 4*m(d). Factor a(b).
3*(b - 1)*(b + 1)*(7*b - 2)
Let b(k) = 3*k**2 + 3*k + 3. Let z be b(-3). What is n in 1 - 4*n - 1 - z*n**2 + 25*n**2 = 0?
0, 1
Let z(w) = -2*w**2 + 13*w - 17. Let x be z(4). Let q(c) be the first derivative of -c**3 - x - 6*c - 9/2*c**2. Factor q(a).
-3*(a + 1)*(a + 2)
Let c(o) be the third derivative of o**7/5040 - o**6/720 - o**4/24 - 3*o**2. Let z(a) be the second derivative of c(a). Factor z(k).
k*(k - 2)/2
Let h be 2 - 2/(-1 - 0). Let -9*v + 75*v + 25*v**3 + 80*v**2 + 7*v**3 + 14 + h = 0. What is v?
-1, -3/4
Let -27*n**3 + 30*n**3 + 23*n + 4*n - 18*n**2 = 0. What is n?
0, 3
What is s in 98/9*s**3 + 0 + 8/9*s - 56/9*s**2 = 0?
0, 2/7
Suppose 0*x - 4*x = -2*d - 114, 5*x - 159 = -3*d. Determine o so that 9*o**2 - x + 6*o**3 - 6*o - 9*o**4 + 30 = 0.
-1, 0, 2/3, 1
Suppose -v = -0*q - q + 7, 0 = 3*v + 9. Let x be (3/(-4))/((-1)/q). Factor -k**2 + 3*k**3 - 5*k**x + 3*k**2.
-2*k**2*(k - 1)
Let u be (-10)/(-8)*1 - (-33)/44. Solve 0*j + 0 - 2/7*j**3 + 2/7*j**u = 0 for j.
0, 1
Determine x, given that 6/5*x**2 + 3/5*x**5 - 6/5*x**3 - 3/5 - 3/5*x**4 + 3/5*x = 0.
-1, 1
Let h = 750 + -2248/3. Factor 0*k**2 + h*k**3 + 0 + 0*k.
2*k**3/3
Let q(o) = o**2 + 6*o - 2. Let h be q(-7). Suppose -5*c + 5 = -h. Factor 2/7*p**3 + 12/7*p**c + 24/7*p + 16/7.
2*(p + 2)**3/7
Let f(u) be the second derivative of -u**6/30 - u**5/20 + u**4/6 - 3*u. Factor f(z).
-z**2*(z - 1)*(z + 2)
Let c(i) be the third derivative of 0*i - 1/90*i**5 + 1/9*i**3 - 8*i**2 + 0 + 1/180*i**6 - 1/36*i**4. Let c(k) = 0. What is k?
-1, 1
Let f(t) be the second derivative of 0*t**4 - 1/120*t**6 - 2*t + 0 + 1/8*t**2 + 1/12*t**3 - 1/40*t**5. Factor f(i).
-(i - 1)*(i + 1)**3/4
Suppose -2*a = 2*h - 4*h + 10, -2 = -h - 2*a. Factor -2/11*g**2 + 2/11*g**h + 0 + 0*g**3 + 0*g.
2*g**2*(g - 1)*(g + 1)/11
Suppose -3*v - v + 24 = 0. Let r = v + -6. What is j in -1/3*j**3 + 0*j + 1/3*j**2 + r = 0?
0, 1
Find a, given that 1/3*a**2 - 5/3*a + 0 = 0.
0, 5
Let o(r) be the first derivative of 0*r**2 + 2/3*r**3 - 4 - 1/2*r**4 + 0*r. Factor o(f).
-2*f**2*(f - 1)
Suppose 0 = -o + 5 - 7. Let n be 2*-4*o/4. Solve n*l**3 + 2*l**4 - 8*l**4 + 2 - 4*l + 4*l**4 = 0 for l.
-1, 1
Let g be (-8*(-1)/50)/((-2)/(-5)). Suppose -6/5 + 14/5*k - 2*k**2 + g*k**3 = 0. Calculate k.
1, 3
Let h(j) be the third derivative of j**8/16800 - j**7/3150 + j**6/1800 - j**4/8 + 2*j**2. Let c(m) be the second derivative of h(m). Factor c(y).
2*y*(y - 1)**2/5
Let c be (2/(-2))/((-1)/2). Let q = -20 + 23. Factor -2*i - 5*i**c + 3*i**3 + 5*i**4 + 3*i - 3*i - i**q.
i*(i - 1)*(i + 1)*(5*i + 2)
Let z be (-2*(0 - -2))/(-1). Suppose -3*s + z = -s. Factor -5*v**4 + 2*v**2 + s*v**4 + v**5 + 4*v**3 + 1 - 2*v**3 - 3*v.
(v - 1)**4*(v + 1)
Suppose -38*i + 43*i = 20. Let d(c) be the third derivative of -1/60*c**i + 0 - 3*c**2 + 0*c - 1/300*c**5 - 1/30*c**3. Suppose d(x) = 0. Calculate x.
-1
Let f be (-128)/96 + (5 - (0 + 1)). Factor -f*s + 4/3 + s**2.
(s - 2)*(3*s - 2)/3
Let r(z) be the second derivative of z**6/180 - 7*z**5/120 + z**4/9 + 4*z**3/9 - 3*z + 9. Factor r(u).
u*(u - 4)**2*(u + 1)/6
Suppose -4*n = -b + n + 6, -4*b + 3*n = -7. Suppose -v**2 - 6*v + b - 2 - 8 = 0. Calculate v.
-3
Let i = -2 - 1. Let s(x) = -x**4 + x**3 + x**2 - x + 1. Let t(u) = 6*u**4 - 6*u**3 - 6*u**2 + 6*u - 3. Let o(a) = i*s(a) - t(a). Solve o(f) = 0 for f.
-1, 0, 1
Suppose -p + 3*p - 1 = u, -5*p = 5*u - 40. Let s = 35 + -33. Let j**s - 1/3*j**p - j + 1/3 = 0. Calculate j.
1
Let x(p) be the first derivative of -p**3/12 - 5*p**2/4 - 25*p/4 + 21. Suppose x(l) = 0. Calculate l.
-5
Let -3/7*i**2 - 9/7*i**3 - 6/7*i**4 + 0*i + 0 = 0. What is i?
-1, -1/2, 0
Suppose n + 2*r - 1 = 3*r, 5*n + 5*r = 15. Suppose -n*a - 3 + 7 = 0. Factor 0*l + 0 + 2/3*l**a.
2*l**2/3
Let z(a) be the second derivative of -a**5/180 + a**4/12 - a**3/2 - a**2/2 + 3*a. Let x(g) be the first derivative of z(g). Factor x(p).
-(p - 3)**2/3
Factor -2