 -3*s**3 - 1 + s**3 + 1 - 4*s**4 - 2*s**b.
-2*s**3*(s + 1)**2
Let d(t) = 4*t. Let n be d(2). What is x in -x**5 - n*x**2 + 11*x**2 + 4*x**5 - 3*x**3 - 3*x**4 = 0?
-1, 0, 1
Let c(g) be the third derivative of 0 - 1/660*g**6 - 2/33*g**4 + 3*g**2 - 4/33*g**3 - 1/66*g**5 + 0*g. Find s such that c(s) = 0.
-2, -1
Let x(k) be the first derivative of -k**5/5 + k**4/4 + k**3/3 - k**2/2 - 2. Factor x(y).
-y*(y - 1)**2*(y + 1)
Suppose 8 + 0 = 4*y. Factor -11*f**2 - f**2 - 4*f**3 + 6*f**2 + y*f**2.
-4*f**2*(f + 1)
Factor 2/11*i - 2/11*i**3 - 6/11*i**2 + 6/11.
-2*(i - 1)*(i + 1)*(i + 3)/11
What is q in 4*q**2 - 2*q**2 + 2*q**2 - 10*q - 2*q - 16 = 0?
-1, 4
Let q(t) be the second derivative of -t**5/60 + t**4/6 - t**3/2 - 7*t. Solve q(k) = 0 for k.
0, 3
Suppose -5*n - 28 = -s, 4 = -n - 1. Solve 5*f**3 - 1 - f**s - 2*f**3 - 2*f + 0*f + f**2 = 0 for f.
-1, -1/2, 1
Let k be ((-34)/(-153))/((-3)/(-3)). Factor -2/9*s**4 - k*s**3 + 0 + 0*s + 4/9*s**2.
-2*s**2*(s - 1)*(s + 2)/9
Let m be (-18)/(-8) - 5/20. Let s(g) be the third derivative of g**m + 0 - 1/21*g**3 + 0*g - 1/210*g**5 - 1/42*g**4. Factor s(i).
-2*(i + 1)**2/7
Let s(p) = 9 + 0*p**3 + 4*p**3 + 6*p**2 - 2*p - 4*p**2 - 2*p**3. Let d(w) = -1 - w**2 - 4 + 0 + w - w**3. Let m(o) = -11*d(o) - 6*s(o). Factor m(v).
-(v - 1)*(v + 1)**2
Let h(s) be the first derivative of s**5/60 + s**4/12 - 3*s**2/2 + 1. Let b(f) be the second derivative of h(f). Factor b(w).
w*(w + 2)
Let -3*q**3 - q**2 + 0*q**4 + q**3 - q**4 = 0. What is q?
-1, 0
Let z(k) = 5*k**2 + k - 1. Let n(y) = 24*y**2 + 4*y - 6. Let t(g) = 3*n(g) - 14*z(g). Solve t(b) = 0.
-1, 2
Let i be 2 + 1*-2 + 9. Suppose m = -2*m + i. Factor -m*x + 1 + 0*x**2 + 0*x**2 + 1 + x**2.
(x - 2)*(x - 1)
Suppose 2*g + 2*g = 80. Suppose -4*o - o = g, -l + 16 = -3*o. Determine w, given that 7*w**l - 3*w**2 + 11*w**3 + 0*w**5 + w - 5*w**2 + w**2 - 12*w**5 = 0.
-1, 0, 1/4, 1/3, 1
Let o(t) = 4*t**5 + 3*t**4 + 21*t**3 + 4*t**2 + 9. Let n(a) = -a**5 - a**4 - 5*a**3 - a**2 - 2. Let f(q) = 9*n(q) + 2*o(q). Factor f(i).
-i**2*(i + 1)**3
Factor -75/2*c**3 - 3/2*c**5 - 12*c**4 - 12 - 42*c - 57*c**2.
-3*(c + 1)**2*(c + 2)**3/2
Let q = 803/3 + -267. Factor q - 2/3*z**2 - 1/3*z**3 + 1/3*z.
-(z - 1)*(z + 1)*(z + 2)/3
Let v(f) be the third derivative of 0*f + 0*f**3 - 1/180*f**5 + 1/144*f**4 + 1/630*f**7 + 0*f**6 + 0 + 6*f**2 - 1/2016*f**8. Factor v(s).
-s*(s - 1)**3*(s + 1)/6
Let f = 30 - 268/9. Let b(z) be the first derivative of 0*z - f*z**3 - 1 + 3/2*z**4 - 2/9*z**2 + 56/45*z**5. Let b(r) = 0. Calculate r.
-1, -1/4, 0, 2/7
Suppose 12 = 3*n, -y + n = -0*n + 4. Solve y*i**2 - 2/3*i**3 + 0*i + 2/3*i**5 + 0 + 0*i**4 = 0.
-1, 0, 1
Let x(o) be the third derivative of o**8/672 + o**7/140 - o**5/30 - 9*o**2. Suppose x(u) = 0. What is u?
-2, 0, 1
Factor 8/5*s**2 + 0 - 2/5*s**3 + 0*s.
-2*s**2*(s - 4)/5
Let y = 131/5 - 23. Determine h, given that -8/5 - 2/5*h**3 - y*h - 2*h**2 = 0.
-2, -1
Suppose -2*m - 19 = 4*n + 7, -5*n + 3*m - 5 = 0. Let p = 4 + n. Suppose 12/5*h**2 - 2/5 + p*h - 16/5*h**3 + 6/5*h**4 = 0. What is h?
-1/3, 1
Let j(i) = i**2 + i + 1. Let q(m) = -10*m**2 - 6*m - 8. Let y(d) = -8*j(d) - q(d). Factor y(v).
2*v*(v - 1)
Factor 4/3 + 1/3*c**3 + 5/3*c**2 + 8/3*c.
(c + 1)*(c + 2)**2/3
Let r(s) be the first derivative of -1/6*s**3 - 4 - 1/8*s**2 + 0*s - 1/16*s**4. Factor r(z).
-z*(z + 1)**2/4
Let z(y) be the third derivative of y**8/336 - y**7/42 + y**6/12 - y**5/6 + 5*y**4/24 - y**3/6 - 12*y**2. Factor z(q).
(q - 1)**5
Let w(c) = -8*c**4 - 6*c**3 + 8*c**2 + 6*c - 2. Let l(m) = -16*m**4 - 12*m**3 + 15*m**2 + 12*m - 4. Let p(b) = 2*l(b) - 5*w(b). What is v in p(v) = 0?
-1, 1/4, 1
Let f be 6/27 + 1/9. Let j = -379/3 + 127. Determine p, given that -f - j*p + p**2 = 0.
-1/3, 1
Let f be 18/(-60)*2/18*-4. Factor f*z - 2/15*z**3 - 2/15*z**2 + 2/15.
-2*(z - 1)*(z + 1)**2/15
Let y(r) be the second derivative of 0*r**2 + 1/10*r**5 - 1/6*r**4 + 1/15*r**6 - 3*r - 1/3*r**3 + 0. Factor y(l).
2*l*(l - 1)*(l + 1)**2
Let u = 110 + -110. Factor -6/5*l**5 + 0 + u*l + 0*l**2 + 8/5*l**4 - 2/5*l**3.
-2*l**3*(l - 1)*(3*l - 1)/5
Let v(t) = -t**2 - 9*t - 15. Let r be v(-5). Let p(c) be the second derivative of 3/10*c**6 + 37/12*c**4 + 10/3*c**3 + 3*c + 2*c**2 + 3/2*c**r + 0. Factor p(d).
(d + 1)**2*(3*d + 2)**2
Let l(o) be the first derivative of o**4/34 + 8*o**3/51 + 8. Determine j, given that l(j) = 0.
-4, 0
Let r be (15/(-50))/((-24)/10). Let m(o) be the second derivative of -1/12*o**3 + r*o**2 + 0 + o + 1/48*o**4. Find f such that m(f) = 0.
1
Let r = 350/3 - 116. Let -4/3*o + 2*o**2 + 0 - r*o**4 + 0*o**3 = 0. What is o?
-2, 0, 1
Factor 11*i - 14*i**4 + 9*i**3 + 15*i**4 + 16*i + 27*i**2.
i*(i + 3)**3
Let z(n) be the second derivative of -n**7/210 + n**6/90 - n**5/180 + 3*n**2/2 - 2*n. Let w(q) be the first derivative of z(q). Factor w(f).
-f**2*(f - 1)*(3*f - 1)/3
Suppose 10/9*h**2 - 4/3*h + 2/9 = 0. Calculate h.
1/5, 1
Let l = -7 + 7. Solve -2 - 5*b**2 + 10*b + l - 2*b**2 - b**2 = 0 for b.
1/4, 1
Let p be 1/((-3)/(-45)*3). Suppose 0 = -4*l - m - 2, -5*m = -l + p + 5. Factor 0 + 2/3*d**5 - 10/9*d**4 + 0*d + 4/9*d**3 + l*d**2.
2*d**3*(d - 1)*(3*d - 2)/9
Suppose 0 = -j - 0 + 2. Let o(k) be the third derivative of -1/110*k**5 - k**j + 0*k + 0 + 1/33*k**3 + 1/66*k**4. Factor o(v).
-2*(v - 1)*(3*v + 1)/11
Let y be (-6)/(-4) - (-3)/2. Factor y*w**2 + 3*w**3 - 5*w**3 - 4*w**2 + 3*w**3.
w**2*(w - 1)
Determine a, given that 1/3*a**4 + 0*a - 1/3*a**5 - 1/3*a**2 + 1/3*a**3 + 0 = 0.
-1, 0, 1
Let g(q) = q**3 - q**2. Let o(c) = c - 4*c + 2*c**2 + 3*c - c**3. Suppose 5*k - 2*b - 2 = -1, -5*k = 3*b + 14. Let w(v) = k*o(v) - 2*g(v). Factor w(x).
-x**3
Suppose -3*t + 4 = -2. Let x**t + 5*x**4 - 3*x**4 - 2*x**3 - 5*x**2 = 0. What is x?
-1, 0, 2
Let c be 0*5*2/20. Solve -4/5*t + 2/5*t**2 + c + 4*t**3 = 0 for t.
-1/2, 0, 2/5
Let m(c) be the second derivative of 0*c**5 + 0 - 1/240*c**6 + 0*c**3 + c**2 + 1/48*c**4 + 3*c. Let p(a) be the first derivative of m(a). Factor p(j).
-j*(j - 1)*(j + 1)/2
Suppose 4*b - 5*p = -3*p + 16, 4*b - 20 = 3*p. Let s(z) be the third derivative of 0*z + 0 + 0*z**3 - b*z**2 - 1/12*z**4 - 1/60*z**5. Factor s(y).
-y*(y + 2)
Let s(a) = a**3 - a**2 - a. Let k(y) = 8*y**3 - 12*y**2 - 8. Let h(p) = -k(p) + 12*s(p). Factor h(z).
4*(z - 1)**2*(z + 2)
Suppose 8/5*j**2 + 0*j + 4/5*j**3 + 0 - 8/5*j**4 - 4/5*j**5 = 0. Calculate j.
-2, -1, 0, 1
Let p(r) be the first derivative of -r**5/240 + r**4/96 + r**3/12 + 5*r**2/2 - 3. Let q(x) be the second derivative of p(x). Let q(u) = 0. Calculate u.
-1, 2
Let v(y) be the first derivative of -y**6/900 - y**5/200 - y**4/120 - y**3/3 - 3. Let o(j) be the third derivative of v(j). Factor o(b).
-(b + 1)*(2*b + 1)/5
Factor -1/3*x**2 + 0*x + 2/3*x**3 - 1/3*x**4 + 0.
-x**2*(x - 1)**2/3
Factor 16*w**2 + 8*w - 12 + 16*w + 17*w**2 + 9*w**3.
3*(w + 2)**2*(3*w - 1)
Suppose 0 = 4*n + 20, 4*f = 3*n + 5 + 26. Suppose 5*v - 26 = 4*s, -12 = -4*v - s + 2*s. What is r in 12*r**4 + 18*r**2 - 26*r**3 - 2*r**f - 4*r + v*r**3 = 0?
0, 2/5, 1
Determine v, given that 32*v**4 - 16*v**4 + 16*v - 16*v**3 + 30*v**2 - 14*v**4 - 32 = 0.
-1, 1, 4
Suppose o = x - 4, -6 = -0*x + 3*x + 3*o. Let g = 5 - x. Suppose 0*s**2 + 0*s**4 + 8*s**2 + 2*s**2 - 8*s**3 - g*s + 2*s**4 = 0. Calculate s.
0, 1, 2
Let j(a) be the first derivative of 1/10*a**5 - 1/24*a**6 + 7 + 0*a**4 + 0*a + 1/8*a**2 - 1/6*a**3. Determine u, given that j(u) = 0.
-1, 0, 1
Factor 0 - 2*m**2 + 5/3*m + 1/3*m**3.
m*(m - 5)*(m - 1)/3
Let q = -664 + 3308/5. Let r = 56/15 + q. What is k in -r - 3*k**2 - 4*k = 0?
-2/3
Let c be (7/14)/(2 + -2 - -1). Factor 0 + 0*o**2 + 1/2*o**3 - c*o.
o*(o - 1)*(o + 1)/2
Let w(i) = i**3 - 5*i**2 - i - 5. Let m be w(6). Let u be m/10 - (-3)/(-4). Find a, given that 0 + u*a**4 - 7/4*a**2 - 3/2*a**5 + 1/2*a + a**3 = 0.
-1, 0, 1/2, 2/3, 1
Let h(d) be the third derivative of -3*d**2 + 0 + 1/21*d**3 + 1/210*d**5 - 1/42*d**4 + 0*d. Factor h(y).
2*(y - 1)**2/7
Let t(s) be the first derivative of 6*s**5/5 - s**4 - 8*s**3/3 + 2*s**2 + 2*s + 10. Factor t(i).
2*(i - 1)**2*(i + 1)*(3*i + 1)
Let v(x) be the third derivative of x**6/200 + x**5/50 + x**4/40 - 6*x**2. Factor v(h).
3*h*(h + 1)**2/5
Let 0*o + 0*o**2 - 4/11*o**3 + 0 + 2/11*o**4 = 0. What is o?
0, 2
Let m(o) be the second derivative of o**7/1260 + o**6/360 - o**5/30 - o**