7/5*d**4 + d**3 = 0?
-1, -2/7, 1
Let i(m) be the second derivative of -3*m**5/20 + m**4/2 - m**3/2 + 27*m. Factor i(u).
-3*u*(u - 1)**2
Let y(v) be the first derivative of v**3 + 6*v**2 + 12*v + 11. Factor y(x).
3*(x + 2)**2
Let q(l) = 2*l**2 + 3*l. Let v be q(-2). Let f be 8/(-52) - (-242)/52. Factor -3 - 3/2*w**v + f*w.
-3*(w - 2)*(w - 1)/2
Let o be 731871/(-539) - (-2)/7. Let t = 1359 + o. Let -t*m + 0 + 2/11*m**5 + 8/11*m**2 - 10/11*m**4 + 12/11*m**3 = 0. What is m?
-1, 0, 2
Let b = 44 - 44. Let c(g) be the third derivative of -2/21*g**3 + 2*g**2 - 5/84*g**4 + b + 0*g - 1/70*g**5. Factor c(p).
-2*(p + 1)*(3*p + 2)/7
Let o = -56 - -98. Let i be (27/9)/(o/4). Factor 0*x + 2/7*x**2 - i.
2*(x - 1)*(x + 1)/7
Let z(a) be the first derivative of 11*a**4/2 + a**2 - a + 3. Let b be z(1). Let 3*q**3 + b*q - 21*q - 5*q**3 = 0. What is q?
-1, 0, 1
Let w(x) be the second derivative of -5*x**4/12 - 5*x**3/3 - 5*x**2/2 + 17*x. Factor w(l).
-5*(l + 1)**2
Factor -4*c - 9*c**3 - 19*c**3 + 32*c**3.
4*c*(c - 1)*(c + 1)
Let g(r) be the third derivative of 1/150*r**5 + 0 - 3*r**2 + 1/15*r**3 + 1/30*r**4 + 0*r. Factor g(b).
2*(b + 1)**2/5
Let h(m) be the third derivative of -m**2 - 1/840*m**8 + 0 + 0*m**5 + 0*m + 0*m**7 + 0*m**3 + 1/300*m**6 + 0*m**4. Factor h(i).
-2*i**3*(i - 1)*(i + 1)/5
Let v(o) be the first derivative of -o**6/660 + o**4/132 + 3*o**2/2 + 1. Let d(g) be the second derivative of v(g). Factor d(a).
-2*a*(a - 1)*(a + 1)/11
Let s(m) be the first derivative of -m**6/24 + m**5/10 - 18. Factor s(t).
-t**4*(t - 2)/4
Let s be ((-24)/18)/(4/(-6)). Let y be ((-7)/(84/(-8)))/1. Factor -8/3*n**s + y*n**3 - 4/3 + 10/3*n.
2*(n - 2)*(n - 1)**2/3
Suppose 3*a - 55 = -2*a. Factor -4*m - 11*m + 3 + a*m + m**2.
(m - 3)*(m - 1)
Let j(a) be the second derivative of 0 + 5/18*a**3 + 1/60*a**5 - 9*a - 1/3*a**2 - 1/9*a**4. Determine y so that j(y) = 0.
1, 2
Let l(c) be the third derivative of c**5/36 + 5*c**4/72 - 5*c**3/9 + 18*c**2. Factor l(n).
5*(n - 1)*(n + 2)/3
Factor -3/2*i**4 - 3*i**3 + 0*i**2 + 3*i + 3/2.
-3*(i - 1)*(i + 1)**3/2
Let a(u) = -u**2 + u. Let d(x) = -3*x**3 - 15*x**2 - 12*x - 6. Let w(r) = -3*a(r) + d(r). Solve w(t) = 0 for t.
-2, -1
Let w(l) be the first derivative of l**5/420 - l**4/84 + l**3/42 - 2*l**2 - 3. Let q(s) be the second derivative of w(s). What is o in q(o) = 0?
1
Factor -3/7*i + 3/7*i**2 + 0.
3*i*(i - 1)/7
Let d(g) be the second derivative of g**5/10 + g**4/6 - g**3/3 - g**2 - g. Factor d(a).
2*(a - 1)*(a + 1)**2
Let h(y) be the third derivative of 1/12*y**4 + 1/30*y**5 - 1/3*y**3 + 0*y + 5*y**2 - 1/60*y**6 + 0. Suppose h(j) = 0. Calculate j.
-1, 1
Let m = -2 + 4. Let w = -2 + m. Factor r**5 - r**3 + 0*r**3 + w*r**5.
r**3*(r - 1)*(r + 1)
Let z = -23 - -28. Let a(r) be the second derivative of 0*r**4 + 2/7*r**2 + 1/7*r**3 + 0 - 1/70*r**z + r. Factor a(l).
-2*(l - 2)*(l + 1)**2/7
Suppose -3*y + 28 = z, -9*y + 48 = -4*y + z. Factor -12*u + u**2 + y*u + 7*u**2.
2*u*(4*u - 1)
Suppose 3*y - 2*f = 20, -3*y + 3*f + 12 + 12 = 0. Solve -2*l**5 - 4*l**2 - 8*l**y + 1 - 10*l**3 - 1 = 0.
-2, -1, 0
Let r(c) = -8*c**2 - 11*c + 8. Let g(h) = 3*h - 1. Let z be g(-1). Let i(p) = -3*p**2 - 4*p + 3. Let x(l) = z*r(l) + 11*i(l). Solve x(b) = 0.
-1, 1
Factor -4/13 + 10/13*p + 2/13*p**3 - 8/13*p**2.
2*(p - 2)*(p - 1)**2/13
Let f(l) be the third derivative of -l**7/2100 + l**6/1200 + l**5/200 - l**4/48 + l**3/30 + 10*l**2. Factor f(a).
-(a - 1)**3*(a + 2)/10
Let b = -3 - -5. Suppose 3 = 4*n - v - 1, 0 = 4*n + 2*v - 16. Determine o, given that -b*o**4 - n + 4*o**2 + 0*o**4 + 0 = 0.
-1, 1
Let k be 1*(-2)/(-2) + (-33)/(-66). Find f, given that -k*f**3 + 7/2*f - f**2 - 1 = 0.
-2, 1/3, 1
Let r = -8 + 10. Determine u so that 5*u + 24 + u + 2*u**r - 20 = 0.
-2, -1
Solve 3*d**2 - 4*d**2 - d + 3*d + 0*d**2 = 0.
0, 2
Let v(u) = -1. Let i(s) = -s**2 + 3*s - 3. Let n(z) = 2*i(z) - 6*v(z). Find h such that n(h) = 0.
0, 3
Let b = -15 + 79/5. Solve 2/5*k**4 + 8/5 - b*k**3 + 8/5*k - 6/5*k**2 = 0 for k.
-1, 2
Factor 0 + 5/4*f**2 - 25/4*f.
5*f*(f - 5)/4
Let r = -6 + 6. Factor a**5 + r*a**4 + 2*a**2 - 4*a**4 - a + 4*a**4 - 2*a**4.
a*(a - 1)**3*(a + 1)
Factor 0 - 1/5*g - 16/5*g**4 - 24/5*g**3 - 9/5*g**2.
-g*(g + 1)*(4*g + 1)**2/5
Let q(n) be the second derivative of -n**6/75 - 3*n**5/50 - n**4/10 - n**3/15 - 9*n. What is v in q(v) = 0?
-1, 0
Suppose -3*o + 0*o = 0, v + 5*o - 1 = 0. Suppose -v = -3*n + 14. Solve 23*q**3 + 6*q**2 + 5*q**n - 2*q**5 - 6*q**4 - 3*q - 23*q**3 = 0 for q.
-1, 0, 1
Suppose -4 = -5*j + 16. Suppose -o + j*r - 8 = -0*r, 3*o - 4 = -2*r. Suppose -1/2*x + 0 + 1/2*x**3 + o*x**2 = 0. What is x?
-1, 0, 1
Determine o, given that 0 + 25/2*o**4 + 4*o + 15*o**3 - 18*o**2 = 0.
-2, 0, 2/5
Let t(p) = -4*p**4 - 3*p**3 - 2*p + 4. Let r(x) be the first derivative of 3*x**5/5 + x**4/2 + x**2 - 3*x - 2. Let i(c) = 5*r(c) + 4*t(c). Factor i(a).
-(a - 1)*(a + 1)**3
Let g(t) be the second derivative of -t**7/14 - t**6/5 + 3*t**5/20 + t**4/2 - 11*t. Let g(f) = 0. What is f?
-2, -1, 0, 1
Let l(u) = u**2 + 8*u + 5. Let b be l(-8). Factor -3*n**2 + 16*n**5 - 13*n**b + 3*n**3 - 9*n**4 + 6*n**3.
3*n**2*(n - 1)**3
Factor -5/4*z + 1/4*z**2 + 1.
(z - 4)*(z - 1)/4
Let u be (-4)/3 + (-666)/27. Let t = 80/3 + u. Solve 1/3 + 0*a**2 - 1/3*a**4 + 2/3*a**3 - t*a = 0.
-1, 1
Let f(y) = 251*y**5 + 245*y**4 - 20*y**3 - 26*y**2 - 6*y + 6. Let b(u) = u**5 - u**2 - u + 1. Let g(v) = -6*b(v) + f(v). Find c, given that g(c) = 0.
-1, -2/7, 0, 2/7
Let p(u) = 14*u**3 + 126*u**2 - 34*u + 2. Let m(g) = 13*g**3 + 127*g**2 - 35*g + 3. Let v(n) = 2*m(n) - 3*p(n). Factor v(y).
-4*y*(y + 8)*(4*y - 1)
Suppose -u + 3*u + 12 = 0. Let g be 2/u + (-8)/(-24). Factor 0 + g*y**2 + 4/7*y**3 - 6/7*y**4 + 0*y - 10/7*y**5.
-2*y**3*(y + 1)*(5*y - 2)/7
Let q = 7 - 7. Find k such that -8*k + k**4 + q*k**4 - 12*k**2 - 3*k**4 - 2 - 8*k**3 = 0.
-1
Let x be 4/(-8) - 30/(-45). Factor -1/6*j**3 + 1/3*j - x*j**2 + 0.
-j*(j - 1)*(j + 2)/6
Let q(v) be the third derivative of 0*v**4 + 0*v**3 + 1/420*v**6 - 4*v**2 + 1/210*v**5 + 0 + 0*v. Factor q(f).
2*f**2*(f + 1)/7
Let u = 3 - 6. Let h(i) = 3*i - i**2 - 2 + i - 2*i**3 - i**2 + 2*i. Let b(w) = 2*w**3 + 3*w**2 - 6*w + 1. Let g(d) = u*h(d) - 2*b(d). Factor g(t).
2*(t - 1)**2*(t + 2)
Suppose -d - 2*i + 8 = 0, 4*d + 0*d + 5*i - 23 = 0. Solve -d*m**3 + 2*m**5 - 3*m**5 + 3*m**3 + m**2 - 2*m**4 + m**2 = 0 for m.
-2, -1, 0, 1
Let f(o) be the second derivative of o**6/165 - o**4/66 - 3*o. Determine i, given that f(i) = 0.
-1, 0, 1
Let c be ((-6)/(-4))/(2/(-24)). Let f = 13 + c. Let o(x) = 4*x**2 - x + 1. Let n(b) = -5*b**2 + 2*b - 2. Let j(s) = f*n(s) - 6*o(s). Solve j(q) = 0 for q.
2
Let m(b) = b - 2. Let d be m(4). Let r(v) be the second derivative of -1/12*v**4 + 0 + v - 1/2*v**3 - v**d. Factor r(k).
-(k + 1)*(k + 2)
Let y(k) = -17*k**5 + 11*k**4 + 6*k**3 - 8*k. Let g(h) = 11*h**5 - 7*h**4 - 4*h**3 + 5*h. Let x(n) = 8*g(n) + 5*y(n). Factor x(d).
d**3*(d - 1)*(3*d + 2)
Let o(b) be the second derivative of -b**3/3 - 9*b**2/2 + 2*b. Let v be o(-6). Factor -f**v - 5*f**4 + 2*f**5 - f**5 + 6*f**4 - f**2.
f**2*(f - 1)*(f + 1)**2
Factor -j**3 - 2*j**4 + 3*j**4 - 5*j**4 + 9*j**3 - 4*j**5.
-4*j**3*(j - 1)*(j + 2)
Let t(j) = 9*j**3 + 153*j**2 + 57*j - 153. Let a(l) = l**3 + 19*l**2 + 7*l - 19. Let m(u) = -33*a(u) + 4*t(u). Suppose m(n) = 0. Calculate n.
-1, 1, 5
Let a(h) be the second derivative of 2*h - 1/30*h**4 + 0 + 0*h**3 + 0*h**2. Suppose a(t) = 0. Calculate t.
0
Let t be 0/3 - (1 - 1). Suppose t*j - 1 = -2*n - j, j = 4*n + 1. Suppose -1/3*r**4 + n + 0*r + 0*r**3 + 1/3*r**2 = 0. What is r?
-1, 0, 1
Let d(t) be the third derivative of t**5/240 + t**4/96 + 8*t**2. Find i such that d(i) = 0.
-1, 0
Let t(g) be the first derivative of -2*g**5/75 + 2*g**3/45 - 3. Find l, given that t(l) = 0.
-1, 0, 1
Factor -3*d**3 - 11*d**4 - 4*d + 8*d**4 + 3*d**2 + 7*d.
-3*d*(d - 1)*(d + 1)**2
Let u = -34/7 + 823/168. Let r(t) be the second derivative of 1/80*t**5 + 2*t - u*t**3 + 1/48*t**4 - 1/8*t**2 + 0. Determine q so that r(q) = 0.
-1, 1
Let w(f) = -f**3 - 3*f**2 + 6*f + 10. Let g be w(-4). Factor 1/2*k**4 - 2*k + g*k**3 - 2 + 3/2*k**2.
(k - 1)*(k + 1)*(k + 2)**2/2
Factor 1/11*i**2 + 16/11 + 8/11*i.
(i + 4)**2/11
Let p(w) be the second derivative of -1/240*w**5 + 2*w - 1/24*w**3 + 0 - 3/2*w**2 - 1/48*w**4. L