e of 2*o**2 + 2*o - 3 + c*o**3. What is y in t(y) = 0?
-1
Let g(d) be the third derivative of -d**6/120 + d**5/60 + d**4/12 + 6*d**2. Determine k, given that g(k) = 0.
-1, 0, 2
Let u(b) = -b**2 + 6*b + 2. Suppose -8*a + 4*a = -24. Let k be u(a). Factor 1/2*r**4 + 0 + r**3 - 1/2*r**k - r.
r*(r - 1)*(r + 1)*(r + 2)/2
Let b(h) = -h**3 + h + 1. Let i(w) = -4*w**4 + w**3 + 20*w**2 - 17*w - 5. Let z(o) = 5*b(o) + i(o). Factor z(l).
-4*l*(l - 1)**2*(l + 3)
Let h(t) be the first derivative of -t**6/120 + t**5/20 - t**4/12 - 3*t - 4. Let y(c) be the first derivative of h(c). Let y(o) = 0. Calculate o.
0, 2
Let z(k) be the first derivative of -3*k**5/25 + 3*k**4/10 + k**3/5 - 3*k**2/5 - 3. Factor z(i).
-3*i*(i - 2)*(i - 1)*(i + 1)/5
Let -s**4 - 8 - s**3 + 4*s + 4*s + 0*s**3 + 6*s**2 - 4*s = 0. Calculate s.
-2, 1, 2
Let l(m) be the third derivative of 1/180*m**6 + 3*m**2 - 1/24*m**4 - 1/18*m**3 + 1/210*m**7 + 0*m + 1/1008*m**8 + 0 - 1/90*m**5. Find n, given that l(n) = 0.
-1, 1
Let n be ((-3)/2)/(2/(-4)). Factor -2*a**n - 6*a**3 + 6*a**3 - 4*a**2.
-2*a**2*(a + 2)
Let f(z) be the third derivative of 5*z**7/84 + z**6/8 - 3*z**5/10 + z**4/6 + 2*z**2. Suppose f(l) = 0. What is l?
-2, 0, 2/5
Let z = -4/3 - -2. Suppose 1/3 + 1/3*l**2 + z*l = 0. What is l?
-1
Suppose -3*w = -2*t - 25 + 6, 22 = 4*w - 2*t. Determine g so that -3*g**2 - 5*g + 2*g - 3 - w*g = 0.
-1
Suppose -2*p + 21 = 3*o, 2*p + 2*p + 13 = 5*o. Let q(c) be the first derivative of -2/3*c**2 + 1 - 4/3*c - 1/9*c**p. Solve q(x) = 0.
-2
Let f(w) be the first derivative of -w**2/2 + w + 2. Let t be f(-1). Find b, given that 3*b**2 + 4*b**t - 4*b**2 - 2 - b = 0.
-2/3, 1
Let t = -361/3 + 121. Factor 0*q - 2/3*q**3 + 0 + 2/3*q**2 - 2/3*q**4 + t*q**5.
2*q**2*(q - 1)**2*(q + 1)/3
Let g(u) be the third derivative of -u**7/1260 + u**5/60 + u**4/6 - 4*u**2. Let d(c) be the second derivative of g(c). Solve d(p) = 0.
-1, 1
Let z(p) be the third derivative of p**8/6720 - p**7/1680 - p**5/12 + 4*p**2. Let a(c) be the third derivative of z(c). Determine h, given that a(h) = 0.
0, 1
Let l(o) be the first derivative of -2*o - 8/3*o**3 + 5*o**2 + 2. Factor l(u).
-2*(u - 1)*(4*u - 1)
Suppose -2/11*l**3 + 4/11*l**2 + 2/11*l - 4/11 = 0. What is l?
-1, 1, 2
Find n, given that -1/4*n**2 - 15/2*n - 225/4 = 0.
-15
Let 1/2*f**4 + 0*f**3 - 1/3*f**5 + 0 + 0*f - 1/6*f**2 = 0. Calculate f.
-1/2, 0, 1
Suppose 4*a + 8*a**2 + a**3 + a**3 + 4*a = 0. Calculate a.
-2, 0
Let c(s) be the third derivative of -s**9/272160 + s**8/30240 - s**7/11340 - 7*s**5/60 - 7*s**2. Let n(y) be the third derivative of c(y). Factor n(j).
-2*j*(j - 2)*(j - 1)/9
Let v(t) = -t**2 - t. Let h(f) = 2*f**2 - 13*f - 6. Let p(a) = -a**2 + a + 1. Let y(r) = h(r) + 5*p(r). Let x(z) = 6*v(z) - y(z). Factor x(w).
-(w - 1)*(3*w + 1)
Factor 0*p - 6*p**2 + 0 + 0*p**3 + 3/2*p**4.
3*p**2*(p - 2)*(p + 2)/2
Let n(m) be the second derivative of -m**7/14 + 3*m**5/10 - m**3/2 + 4*m. Factor n(g).
-3*g*(g - 1)**2*(g + 1)**2
Let s(y) be the second derivative of -y**7/840 + y**6/40 - 9*y**5/40 + 9*y**4/8 + 5*y**3/6 - 5*y. Let b(v) be the second derivative of s(v). Factor b(g).
-(g - 3)**3
Let f = 2 - -4. Suppose -x**3 - 2*x**3 + f*x - 3*x = 0. What is x?
-1, 0, 1
Factor -15*w - 15*w**2 + 6*w**2 + 14*w**2.
5*w*(w - 3)
Let x(n) be the third derivative of -n**7/1470 + n**6/84 - 5*n**5/84 + 28*n**2. Let x(z) = 0. What is z?
0, 5
Let z(p) be the first derivative of 2 + 0*p**2 - p**3 + 1/1440*p**6 + 0*p + 0*p**4 + 1/480*p**5. Let s(w) be the third derivative of z(w). Factor s(v).
v*(v + 1)/4
Let y(i) be the second derivative of -i**9/2520 + i**8/2240 + i**4/3 + 4*i. Let b(v) be the third derivative of y(v). Let b(x) = 0. Calculate x.
0, 1/2
Suppose 5*i = 5*q + 5, 3*q + 0 + 1 = i. Let s(a) be the second derivative of q*a**3 - a - 1/15*a**6 + 0 - 1/5*a**5 - 1/6*a**4 + 0*a**2. Factor s(f).
-2*f**2*(f + 1)**2
Factor -8/3*b**2 - 2/3*b + 2/3*b**3 + 8/3.
2*(b - 4)*(b - 1)*(b + 1)/3
Let d(q) be the third derivative of 0*q - 1/105*q**5 + 0*q**3 + 0 - q**2 + 0*q**4 - 6/245*q**7 + 3/392*q**8 + 11/420*q**6. What is s in d(s) = 0?
0, 1/3, 2/3, 1
Let c(r) = -r - 2. Let u(p) = p**2 + 4*p + 7. Let j(g) = -14*c(g) - 4*u(g). Factor j(h).
-2*h*(2*h + 1)
Suppose 5*q - 4*h - 40 = 0, 4*q - 22 = q + 2*h. Determine x so that 1/3*x**q + 0 + 2/3*x**2 + x**3 + 0*x = 0.
-2, -1, 0
Let s(f) be the first derivative of -8*f**6/3 - 16*f**5/5 - f**4 - 5. Factor s(x).
-4*x**3*(2*x + 1)**2
Let z(y) = 3*y**3 - 15*y**2 + 27*y - 9. Let d(b) = -3*b**3 + 15*b**2 - 28*b + 8. Let v(t) = 3*d(t) + 4*z(t). What is p in v(p) = 0?
1, 2
Let w = -6 + 8. Let v(d) = 1 - 2*d**w + 6 + 4 - 4. Let b(u) = -2*u**2 + 8. Let t(f) = -5*b(f) + 6*v(f). Factor t(n).
-2*(n - 1)*(n + 1)
Let v(n) be the first derivative of n**7/252 + n**6/60 + n**5/60 - n**4/36 - n**3/12 - n**2/12 - 6*n - 3. Let a(j) be the first derivative of v(j). Factor a(b).
(b - 1)*(b + 1)**4/6
Factor -5/2*v**2 - 1/2*v**3 - 3/2*v + 9/2.
-(v - 1)*(v + 3)**2/2
Suppose 0 = 2*k - 8, 5*u + 0*k = 5*k. Determine z, given that -20*z**3 + 27*z - 11*z**4 + u*z**2 + 6 + 2*z**2 - 7*z**3 - z**4 = 0.
-2, -1, -1/4, 1
Let s(m) be the third derivative of -1/140*m**5 + 0 + 0*m**4 + 7*m**2 + 0*m + 1/14*m**3. Let s(b) = 0. What is b?
-1, 1
Factor -148*h**2 + 40 + 27*h**2 - 44 + 44*h.
-(11*h - 2)**2
Let b be (2 - 3) + 36 - 3. Let t = -222/7 + b. Factor 4/7*u + t*u**2 + 0.
2*u*(u + 2)/7
Let t(h) = 7*h**5 + 4*h**4 + 6*h**3 - h + 4. Let r(q) = -15*q**5 - 7*q**4 - 12*q**3 + 2*q - 9. Let x(y) = -4*r(y) - 9*t(y). Factor x(o).
-o*(o + 1)**3*(3*o - 1)
Let y(k) = k + 1. Let h(m) = 5*m**2 - 23*m - 28. Let l(u) = h(u) - 2*y(u). Suppose l(i) = 0. Calculate i.
-1, 6
Let x(y) be the second derivative of 2/45*y**3 + 0*y**4 - 1/225*y**6 + 0 - y + 1/15*y**2 - 1/75*y**5. Factor x(t).
-2*(t - 1)*(t + 1)**3/15
Let m(v) = 3*v - 2*v**2 - 2 - v**3 + 3*v**4 + 0*v**3 - v**2. Let k(p) = -p**4 + p**2 - p + 1. Let b(h) = -2*k(h) - m(h). What is t in b(t) = 0?
-1, 0, 1
Suppose 5*l = -2*v + 18, -3*l + 5*v + 13 = 4*v. Determine y, given that -9/2*y**3 + 0*y - 3/2*y**5 - 9/2*y**l + 0 - 3/2*y**2 = 0.
-1, 0
Let c be (-2)/(-12)*(-1 + 2). Let o(f) be the first derivative of 0*f - c*f**2 - 1 + 1/9*f**3. Factor o(a).
a*(a - 1)/3
Let k(b) = -b**4 + b**3 - b**2. Let s(i) = 3*i**4 - 3*i**3 + 5*i**2 - i. Let j(r) = 20*k(r) + 5*s(r). Suppose j(c) = 0. Calculate c.
-1, 0, 1
Let k(v) be the first derivative of v**3/3 - 3*v**2 + 9*v + 3. Factor k(f).
(f - 3)**2
Determine n so that 0*n + 4/3*n**2 + 4*n**4 + 4*n**3 + 4/3*n**5 + 0 = 0.
-1, 0
Let v be ((-1)/(-2))/(12/192). Let o be 3/12*v/7. Factor o + 4/7*y**2 + 6/7*y.
2*(y + 1)*(2*y + 1)/7
Let l(u) be the third derivative of -1/35*u**7 + 1/60*u**6 + 0 - 1/12*u**4 + 0*u**3 + 1/10*u**5 + u**2 + 0*u. Solve l(f) = 0 for f.
-1, 0, 1/3, 1
Let m(j) be the first derivative of j**4/6 + 3*j + 2. Let k(f) be the first derivative of m(f). Let k(v) = 0. Calculate v.
0
Let l(d) = d**3 - 32*d**2 + 32*d - 29. Let o be l(31). Find q such that -2 - 1/2*q**o - 2*q = 0.
-2
Determine n, given that 24 + 6*n**2 - 796*n**3 + 798*n**3 - 23*n - 9*n = 0.
-6, 1, 2
Let z(t) be the first derivative of 0*t**3 - 2 + 1/12*t**4 + t**2 + 1/30*t**5 + 0*t. Let r(w) be the second derivative of z(w). Factor r(j).
2*j*(j + 1)
Let x(d) be the third derivative of -d**7/210 - d**6/120 + d**5/60 + d**4/24 + 6*d**2. Factor x(m).
-m*(m - 1)*(m + 1)**2
Let u = 380 + -212. Find a such that 165*a**2 + 20 + 24 + 4 - 12 + 75*a**3 - u*a = 0.
-3, 2/5
Let g(s) be the first derivative of s**6/33 - 6*s**5/55 + 3*s**4/22 - 2*s**3/33 + 40. Find p, given that g(p) = 0.
0, 1
Let n be 2/2 - (0 - 3). Suppose n*b - 256 = -56. Suppose 8*o**4 + 20*o**2 + 4 + 26*o + 18*o**2 - b*o**4 - 26*o**3 = 0. What is o?
-1, -1/3, -2/7, 1
Suppose -1/3*w**2 - 5/3*w - 2 = 0. What is w?
-3, -2
Factor -1 - 3*t**2 + 15*t - 12*t + t**3 + 0.
(t - 1)**3
Let b(a) be the first derivative of 7*a**5/5 - 23*a**4/4 + 2*a**3 + 1. Factor b(q).
q**2*(q - 3)*(7*q - 2)
Let w(d) be the third derivative of 1/735*d**7 + 0 - 1/42*d**4 - 1/21*d**3 + 0*d - 5*d**2 + 0*d**5 + 1/210*d**6. Factor w(j).
2*(j - 1)*(j + 1)**3/7
Let g = -786 - -786. Factor -1/6*v**2 + 0*v + 1/3*v**3 - 1/6*v**4 + g.
-v**2*(v - 1)**2/6
Let h(j) = -j**2 + 18*j - 53. Let i(n) = -n**2 + 12*n - 35. Let k(d) = 5*h(d) - 7*i(d). S