s**2.
-2*(s + 1)**3*(s + 2)
Let v(g) = 4 - 15*g - 4 + 3*g + 4*g**3 - 5*g**2 - 7. Let a(c) = -c**3 + 2*c**2 + 4*c + 2. Let r(k) = -7*a(k) - 2*v(k). Factor r(i).
-i*(i + 2)**2
Suppose 4 + 0*l + 4*l**2 - 10*l + 0*l**2 + 2*l = 0. Calculate l.
1
Let v(q) be the third derivative of -q**8/10080 - q**5/12 - 3*q**2. Let g(b) be the third derivative of v(b). Factor g(l).
-2*l**2
Let c(k) be the third derivative of k**7/175 - k**6/300 - k**5/30 + k**4/60 + 2*k**3/15 + 5*k**2. Suppose c(i) = 0. What is i?
-1, -2/3, 1
Let m(t) be the second derivative of t**7/315 - 4*t**6/225 + t**5/25 - 2*t**4/45 + t**3/45 + 10*t. Suppose m(b) = 0. What is b?
0, 1
Factor -4/5 + 1/5*h**2 - 1/5*h**3 + 4/5*h.
-(h - 2)*(h - 1)*(h + 2)/5
Let w = -33/13 + 79/26. Determine b so that 1/2 - w*b**2 + 0*b = 0.
-1, 1
Let y be -1*((-3)/(-5))/(-1). Factor -y*x**3 + 0 + 0*x + 9/5*x**2.
-3*x**2*(x - 3)/5
Let 0*a**2 - 7*a**2 + a**2 - a**4 + 3*a + 7*a**4 - 3*a**5 = 0. What is a?
-1, 0, 1
Factor -12 + 3*z**2 - 5*z**2 - 2*z**2 + 16*z.
-4*(z - 3)*(z - 1)
Let j(g) be the first derivative of g**6/120 - g**5/20 + g**4/8 + 5*g**3/3 - 7. Let q(c) be the third derivative of j(c). Determine x, given that q(x) = 0.
1
Let b(m) be the first derivative of 0*m**2 - 1 - m**3 + 0*m - 3/4*m**4. Factor b(i).
-3*i**2*(i + 1)
Let t(z) = -z**2 + 1. Let q(o) = o**3 - o**2 + 8*o + 10. Let a(p) = -q(p) - 6*t(p). Let a(b) = 0. What is b?
-1, 4
Suppose 0*m - 4*m + 20 = 4*x, -4*x + 5*m = -20. Suppose -a - 5 = -0*i - 2*i, 2*i + 25 = -x*a. Let i*n**2 + 0*n - n**2 + n = 0. Calculate n.
0, 1
Let g be 2/(-4)*2*14/(-4). Factor g*j - 5/2*j**2 - 1.
-(j - 1)*(5*j - 2)/2
Let l be 6/(-1)*(-10)/(-15). Let k be (-6)/15 - l/10. Factor k*i**2 - 2/3*i**3 + 2/3*i + 0.
-2*i*(i - 1)*(i + 1)/3
Let v(k) be the first derivative of 14/9*k**3 - 4/3*k - 2/3*k**5 - 1/2*k**4 + 1 + k**2. Solve v(x) = 0.
-1, 2/5, 1
Let h(w) be the second derivative of w**7/28 - 3*w**5/20 + w**3/4 - 10*w. Find d such that h(d) = 0.
-1, 0, 1
Let h(x) = -3*x**4 - 6*x**3 - 11*x**2 + 11*x - 11. Let t(d) = d**4 + 2*d**3 + 4*d**2 - 4*d + 4. Let f(p) = 4*h(p) + 11*t(p). Solve f(j) = 0.
-2, 0
Let r be 0/(-1*(-1)/(-1)). Let m(w) be the second derivative of -8/21*w**3 + 22/21*w**4 + 0 + 27/35*w**6 - 9/49*w**7 + r*w**2 - 9/7*w**5 + 2*w. Factor m(s).
-2*s*(s - 1)*(3*s - 2)**3/7
Let n be (-3)/(-6)*-38 + 3. Let s = -13 - n. Determine t so that 0 + s*t**5 - 6/5*t**3 - 9/5*t**4 + 0*t + 0*t**2 = 0.
-2/5, 0, 1
Let l = -4/61 + 166/671. Let -16/11*a + l + 32/11*a**2 = 0. Calculate a.
1/4
Factor -5*o**2 + 2*o**2 - 3*o**4 + 6*o**2.
-3*o**2*(o - 1)*(o + 1)
Let p(m) be the first derivative of m**6/720 + m**5/120 - 2*m**3/3 + 7. Let l(j) be the third derivative of p(j). Suppose l(o) = 0. Calculate o.
-2, 0
Let b = -91 - -91. Determine x, given that 2/3*x**2 - 10/3*x**4 - 2/3*x**3 - 2*x**5 + b*x + 0 = 0.
-1, 0, 1/3
Let m(l) = l**3 - 4*l**2 + 4*l - 1. Let a be m(3). Factor -g**3 - 2*g**2 + 4*g - 2*g**2 + a*g**3.
g*(g - 2)**2
Let q(l) be the third derivative of -l**5/160 - l**4/4 - 4*l**3 + 20*l**2. Suppose q(x) = 0. What is x?
-8
Let t(w) be the second derivative of w**6/40 + 3*w**5/80 - w**4/8 + 25*w. Find i, given that t(i) = 0.
-2, 0, 1
Let s(i) = i**3 - 8*i**2 + i - 4. Let k be s(8). Suppose -4*h**2 + h**5 - 5*h**k + 10*h - 4 + 0*h**5 + 13*h**4 - 8*h**3 - 3*h**5 = 0. Calculate h.
-1, 1, 2
Let u(y) = -8*y**3 + 18*y**2 - 15*y - 1. Let m(q) = -40*q**3 + 90*q**2 - 76*q - 6. Let z = 6 - 9. Let t(f) = z*m(f) + 16*u(f). Solve t(c) = 0 for c.
1/4, 1
Let q(l) = -l**2 - 3*l + 2. Let j be q(-2). Suppose 3*z + 7 = -2, 3*g + j*z = -6. Factor m**3 - 2*m**3 + 4*m - 3*m**3 + g*m**4 - 2.
2*(m - 1)**3*(m + 1)
What is m in -1/4*m**2 + 0*m + 1/4 = 0?
-1, 1
Suppose 4*i - y - 62 = i, 3*y + 54 = 3*i. Factor -34*w**3 - 42*w**2 - 3*w**4 - i*w + 17 - 21 - 7*w**4.
-2*(w + 1)**3*(5*w + 2)
Let c = 3553/73 - -394026/803. Let r = c + -539. Factor r*x - 2/11 + 8/11*x**3 + 14/11*x**2.
2*(x + 1)**2*(4*x - 1)/11
Factor -3*h**3 - 2*h**3 - 4*h - 2*h**2 + 9*h**3 + 2*h**4.
2*h*(h - 1)*(h + 1)*(h + 2)
Let c(w) be the second derivative of w**7/147 - 2*w**6/21 + 5*w**5/14 + 10*w**4/21 - 80*w**3/21 - 64*w**2/7 + 17*w. Factor c(f).
2*(f - 4)**3*(f + 1)**2/7
Suppose -4*z + 5*z = -5*p + 17, 0 = -4*p - 5*z + 1. Suppose 5/3*r**2 + 0 - 4/3*r**5 + r**3 + 1/3*r - 5/3*r**p = 0. Calculate r.
-1, -1/4, 0, 1
Suppose 2*s - 4 = -16. Let c = -3 - s. Factor 0 - 1/4*z**c + 0*z + 1/4*z**2.
-z**2*(z - 1)/4
Let s = -8 + 10. Factor -a + 3*a**4 - a**s - 7*a**4 + 5*a**2 + a**3.
-a*(a - 1)*(a + 1)*(4*a - 1)
Let h(u) be the third derivative of 0 + 0*u - u**2 + 0*u**4 + 0*u**3 + 0*u**5 - 1/80*u**6 - 1/140*u**7. Factor h(x).
-3*x**3*(x + 1)/2
Let w(t) be the second derivative of 0 - 4/5*t**2 - 3*t + 1/10*t**4 + 4/15*t**3. Factor w(p).
2*(p + 2)*(3*p - 2)/5
Let x be 16/(2 + 2) + 0. Let w = x - 4. Factor 0*y + w*y**2 - 1/3*y**3 + 0*y**4 + 1/3*y**5 + 0.
y**3*(y - 1)*(y + 1)/3
Let r(m) be the third derivative of -m**6/480 + m**4/96 + 6*m**2. Let r(v) = 0. What is v?
-1, 0, 1
Let a(z) be the third derivative of -1/30*z**5 + 1/12*z**4 + 0*z + z**2 + 0 + 0*z**3. Solve a(d) = 0 for d.
0, 1
Let t be 1 + (0 - 2 - -3). Let h(u) be the third derivative of -1/120*u**6 + 0*u**3 - 1/240*u**5 + u**t + 0 + 0*u + 0*u**4 - 1/210*u**7. Factor h(i).
-i**2*(2*i + 1)**2/4
Let -2*f + 14*f + 0*f - 12*f**2 - 9*f**3 = 0. Calculate f.
-2, 0, 2/3
Let s(w) = 2*w**3 + 2*w - 2. Let z(g) = -g**4 + 3*g**3 + g**2 + 3*g - 3. Let q(p) = -3*s(p) + 2*z(p). Factor q(m).
-2*m**2*(m - 1)*(m + 1)
Let v(f) be the first derivative of 1/5*f**5 - 1 + 1/4*f**4 + 0*f - 1/3*f**3 - 1/2*f**2. Suppose v(j) = 0. What is j?
-1, 0, 1
Let x(b) = -b**5 + 8*b**4 - 13*b**3 + 2*b**2 + 10*b - 6. Let t(p) = -2*p**5 + 17*p**4 - 27*p**3 + 4*p**2 + 19*p - 11. Let o(a) = 2*t(a) - 5*x(a). Factor o(z).
(z - 2)**3*(z - 1)*(z + 1)
Let u(p) = -34*p**3 - 30*p**2 + 54*p + 16. Let t(v) = -v**3 + v**2 + v. Let c(n) = 6*t(n) - u(n). Factor c(q).
4*(q - 1)*(q + 2)*(7*q + 2)
Let q(v) be the third derivative of v**7/11340 - v**6/1620 - v**4/12 - 3*v**2. Let f(s) be the second derivative of q(s). Factor f(c).
2*c*(c - 2)/9
Let k be (-20)/(-1)*2/5. Suppose -2*y = 2*y - k. Find u such that u**3 - 2*u**y + 0*u - 2*u + u**4 + u + u**2 = 0.
-1, 0, 1
Let r(h) = h**3 + 5*h**2 - 8*h - 9. Let f = 12 + -18. Let p be r(f). Determine k so that -2/7*k**p - 10/7*k + 8/7*k**2 + 4/7 = 0.
1, 2
Let k(p) be the third derivative of 49*p**6/48 - 175*p**5/24 + 55*p**4/6 - 5*p**3 + 11*p**2. Solve k(a) = 0 for a.
2/7, 3
Let d(p) be the first derivative of -3*p**4/4 + 5*p**3/2 + 3*p**2 - 9*p/2 - 13. Determine i, given that d(i) = 0.
-1, 1/2, 3
Let r(g) be the third derivative of g**6/360 - 7*g**2. Suppose r(j) = 0. What is j?
0
Let t(s) be the second derivative of s**4/32 - s**3/48 - s**2/8 + 8*s. Factor t(c).
(c - 1)*(3*c + 2)/8
Let k(p) be the second derivative of -1/21*p**3 + 0 + 3*p - 1/7*p**2 - 1/147*p**7 - 1/105*p**6 + 1/21*p**4 + 1/35*p**5. Determine x so that k(x) = 0.
-1, 1
Let g(i) be the first derivative of i**7/3360 + i**6/720 - i**5/480 - i**4/48 - i**3 - 3. Let l(q) be the third derivative of g(q). Factor l(z).
(z - 1)*(z + 1)*(z + 2)/4
Suppose 8*z - 5*z - 12 = 0. Suppose -4 + 14*w**3 + 0*w**5 + 4*w**5 - 6*w**3 + 12*w**z - 8*w**2 - 12*w = 0. What is w?
-1, 1
Let r(b) = -b**2 + 6*b - 3. Let w = -1 + 6. Let j be r(w). Solve -2*z**4 + 4*z - 3*z**5 + 4*z**3 + 0*z**4 - 5*z + j*z**2 = 0.
-1, 0, 1/3, 1
Let 0*w**2 + 0*w + 0 - 2/3*w**4 + 2/3*w**5 + 0*w**3 = 0. What is w?
0, 1
Let -16/3*j - 2/3*j**2 + 14/3*j**3 - 8/3 + 10/3*j**4 + 2/3*j**5 = 0. Calculate j.
-2, -1, 1
Let i(k) be the second derivative of k**5/5 - 2*k**4/3 - 2*k**3/3 + 4*k**2 - 11*k. Solve i(g) = 0 for g.
-1, 1, 2
Let u(a) be the second derivative of -4*a + 0 - 1/3*a**3 + 0*a**2 + 1/6*a**4. Factor u(m).
2*m*(m - 1)
Let v be 3 - (3 + (-10)/55). Factor -2/11*g**2 + v*g**4 + 0*g + 0*g**3 + 0.
2*g**2*(g - 1)*(g + 1)/11
Suppose 4*f + 3*n = -0*f - 7, -4*f = -5*n - 33. Let q(x) be the second derivative of 0 + 2/3*x**3 - f*x**2 + x - 1/12*x**4. Find r such that q(r) = 0.
2
Let o(v) be the second derivative of -v**8/23520 - v**7/8820 - 5*v**4/12 - 6*v. Let j(m) be the third derivative of o(m). Factor j(r).
-2*r**2*(r + 1)/7
Let q(b) be the second derivative of 3*b**5/20 - 3*b**4/4 - 9*b**3/2 -