 + 0*n**4 + 0*n**3 + 1/21*n**7 - 3*n + 0. Factor q(i).
2*i**3*(i - 1)**2
Suppose 5*z - 7 - 3 = 0. Factor 0*s**2 - z*s**3 + 2*s**2 + 3*s**3 + s**3.
2*s**2*(s + 1)
Suppose -1/2 - 3/4*z - 1/4*z**2 = 0. What is z?
-2, -1
Suppose 5*z = 3*z + 8. Let p be 6 + -4 - (2 + -2). Find q such that 2/7*q**5 + 8/7*q**z + 2/7*q + 0 + 12/7*q**3 + 8/7*q**p = 0.
-1, 0
Suppose -a**3 + 72*a**2 - 4*a**3 + 34*a**2 - 400*a - 21*a**2 + 320 = 0. What is a?
1, 8
Let f(k) be the first derivative of -k**9/864 + k**8/1680 + k**7/240 - k**6/360 + 2*k**3/3 - 6. Let i(a) be the third derivative of f(a). Solve i(d) = 0 for d.
-1, 0, 2/7, 1
Factor -1/2*u**2 + 1/2*u + 1.
-(u - 2)*(u + 1)/2
Let d be 1 - 3*(-3)/9. Let 1/6*w**4 + 2/3 + 2*w + 13/6*w**d + w**3 = 0. What is w?
-2, -1
Let d(f) be the second derivative of -2*f - 21/25*f**6 + 0 - 26/15*f**4 - 51/25*f**5 - 8/15*f**3 + 0*f**2. Factor d(p).
-2*p*(3*p + 2)**2*(7*p + 2)/5
Let z(f) be the second derivative of f**8/6720 + f**7/7560 - f**6/1080 - f**4/4 + f. Let y(j) be the third derivative of z(j). Find c such that y(c) = 0.
-1, 0, 2/3
Factor 0 + 4/5*c**2 - 14/5*c**3 + 0*c + 8/5*c**5 + 8/5*c**4.
2*c**2*(c + 2)*(2*c - 1)**2/5
Factor 0*l**2 - 8/5*l + 6/5*l**3 + 0 - 2/5*l**4.
-2*l*(l - 2)**2*(l + 1)/5
Let u(r) be the third derivative of -r**7/5040 + r**6/1440 + 3*r**4/8 + 3*r**2. Let m(q) be the second derivative of u(q). Solve m(h) = 0.
0, 1
Let r(a) = 3*a**2 + 2*a + 4. Let j be r(-3). Let h = j - 4. Factor -2 - h*s**2 - 2 - 16*s - s**3 - 9*s**3 + s**3.
-(s + 1)*(3*s + 2)**2
Suppose 1/3*d**2 - 2 - 5/3*d = 0. Calculate d.
-1, 6
Let t(w) be the third derivative of w**6/320 - w**5/480 - w**4/64 + w**3/48 - 8*w**2. Solve t(n) = 0.
-1, 1/3, 1
Let g = -41 + 43. Find i such that 4/5*i - 2/5 - 2/5*i**g = 0.
1
Suppose 0 = -3*t + j - 5, 20 = 3*t + 4*j - 0*j. Let x = 4 - t. Let 4 + 2*f**2 - f + 5*f + x*f + 4 = 0. What is f?
-2
Let x = -47 + 49. Let 3/5*i - 2/5 - 1/5*i**x = 0. What is i?
1, 2
Determine f, given that -6*f + 0 + 19*f**2 - 3*f**4 - 12*f**3 + 0 - 34*f**2 = 0.
-2, -1, 0
Let x(j) be the third derivative of j**7/840 + j**6/96 - j**5/80 - 13*j**4/96 + 5*j**3/12 + 2*j**2 + 4. Find r, given that x(r) = 0.
-5, -2, 1
Find o such that 0 + 10/11*o**3 - 8/11*o**4 + 2/11*o**5 - 4/11*o**2 + 0*o = 0.
0, 1, 2
Suppose 5*x - l = -6*l + 15, -5*x + 16 = 4*l. Suppose -2*j**3 - 5*j**3 - x*j**5 + 19*j**3 - 8*j**2 = 0. What is j?
-2, 0, 1
Let a be ((-48)/14)/(4/(-14)). Factor -21*c**2 - 9*c + 6*c**3 + 21*c**4 + a*c - 9*c.
3*c*(c - 1)*(c + 1)*(7*c + 2)
Let f(p) be the first derivative of -p**5/5 + p**4/4 - 12. Factor f(r).
-r**3*(r - 1)
Solve -4 - y**3 + y + 2 - 32*y**4 + 3*y**2 + 31*y**4 + 0*y = 0 for y.
-2, -1, 1
Let j = 6/7 - 4/21. Let c = 9 - 26/3. Factor 1/3*o - c*o**3 + j - 2/3*o**2.
-(o - 1)*(o + 1)*(o + 2)/3
Suppose 140 = 4*j + j. What is v in 18*v**2 + j*v**5 + 34*v**2 + 8*v + 50*v**4 + 108*v**3 + 42*v**4 = 0?
-1, -2/7, 0
Let l(f) be the second derivative of f**9/1512 - f**8/210 + f**7/70 - f**6/45 + f**5/60 - f**3/6 + 3*f. Let o(x) be the second derivative of l(x). Factor o(c).
2*c*(c - 1)**4
Let x(l) be the third derivative of -l**8/784 + 2*l**7/245 - l**6/70 - l**5/70 + 5*l**4/56 - l**3/7 + 13*l**2. Determine f so that x(f) = 0.
-1, 1, 2
Let c = -346/107 - -49523/10914. Let o = c + 1/34. Let -4*j - o - 3*j**2 = 0. Calculate j.
-2/3
What is s in -3*s**2 - 7*s - 12*s**2 - 3*s - 4*s**3 - s**3 = 0?
-2, -1, 0
Let n(y) = y + 5. Let k be n(-5). Factor k*g**3 + 2*g**3 + 6*g**2 + 0*g**3 - 8 + 0*g**3.
2*(g - 1)*(g + 2)**2
Let j(d) = -10*d**4 - 100*d**3 + 55*d**2 + 100*d + 45. Let w(p) = -p**4 - 9*p**3 + 5*p**2 + 9*p + 4. Let i(a) = 4*j(a) - 45*w(a). Factor i(f).
5*f*(f - 1)*(f + 1)**2
Let c(w) = 3*w**3 - 12*w**2 + 6*w - 6. Let l(a) = -3*a**3 + 11*a**2 - 5*a + 5. Let q(m) = 5*c(m) + 6*l(m). Solve q(n) = 0.
0, 2
Let u(x) = -x**3 - 10*x**2 - 10*x - 12. Let a be u(-9). Let d be (-3)/12*4/a. Let 1/6 - d*z + 1/6*z**2 = 0. What is z?
1
Let b(l) be the third derivative of -l**8/336 + l**6/40 - l**5/30 + 4*l**2. Factor b(r).
-r**2*(r - 1)**2*(r + 2)
Suppose 3*o - 56 = -2*a + 114, -2*o + 324 = 4*a. Let q = a + -1025/13. Factor 0 - q*c - 2/13*c**2.
-2*c*(c + 1)/13
Let r(z) be the first derivative of 0*z**2 + 1/2*z**6 + 1/3*z**3 + 1/4*z**4 - 3 + 0*z - z**5. Find b such that r(b) = 0.
-1/3, 0, 1
Let o(i) be the third derivative of i**6/360 - i**5/60 + i**4/24 - i**3/6 - 3*i**2. Let f(g) be the first derivative of o(g). Determine h so that f(h) = 0.
1
Let q(s) = s + 2. Let a be q(0). Let m be a/(-2)*(-3)/1. Find n, given that -n**2 - 2*n**3 - m*n**4 + 0*n**2 + 6*n**4 = 0.
-1/3, 0, 1
Let a = 52/57 - 26366/285. Let u = a - -92. Factor -2/5*h + 2/5*h**2 - u + 2/5*h**3.
2*(h - 1)*(h + 1)**2/5
Suppose -4*w - 6 = -22. Find d such that 2*d**4 - 3*d - 4*d**3 - 3*d**w - d**4 + 2 + 7*d = 0.
-1, 1
Let x(f) be the first derivative of -147*f**5/5 - 91*f**4/2 - 68*f**3/3 - 4*f**2 - 5. Factor x(k).
-k*(3*k + 2)*(7*k + 2)**2
Let c(a) be the first derivative of 1/8*a**4 + 1/4*a**2 + 0*a - 4 + 1/3*a**3. Factor c(n).
n*(n + 1)**2/2
Let a = -365/3 - -122. Factor 2/3*k + 1/3*k**2 + a.
(k + 1)**2/3
Let v = 41 + -40. Let j be v - (-4 + 0 - -5). Factor -4/5*i + j + 2/5*i**3 - 2/5*i**2.
2*i*(i - 2)*(i + 1)/5
Suppose 5*h - 29 = -9. Let k(g) = -35*g**2 + 29*g - 1. Let r(y) = 18*y**2 - 14*y. Let w(v) = h*k(v) + 7*r(v). Factor w(l).
-2*(l - 1)*(7*l - 2)
Suppose p + p = -10, 0 = -3*x + 4*p + 29. Suppose k = -x*k. Find v, given that -2/11*v**5 - 2/11*v + 4/11*v**3 + 0*v**2 + k + 0*v**4 = 0.
-1, 0, 1
Let x = 2 - -6. Let j(t) = -t**2 + 7*t + 10. Let o be j(x). What is l in -5*l**2 + 3*l - 4*l + 2*l**o - 2*l = 0?
-1, 0
Let m(j) be the first derivative of -1/10*j**2 - 3 + 0*j + 1/5*j**3. Let m(w) = 0. Calculate w.
0, 1/3
Factor 21/4*p + 45/4*p**2 + 3/4 + 27/4*p**3.
3*(p + 1)*(3*p + 1)**2/4
Suppose -4*s = -9*s + 15. Let c(d) = 2*d**2 - d + 1. Let h be c(1). Factor h*l**2 + s - 4 + 9 + 8*l.
2*(l + 2)**2
Let y = -5 + 3. Let m be (-248)/(-224) - y/(-8). Determine h, given that 2/7*h**3 - 6/7*h**2 + m*h - 2/7 = 0.
1
Let u = -2 + 5. Factor u*t + 5*t**3 - 9*t**2 - 3 - 8*t**3 - 13*t + t.
-3*(t + 1)**3
Let s(p) be the first derivative of 0*p - 1/26*p**4 - 1/13*p**2 - 5 - 4/39*p**3. Factor s(u).
-2*u*(u + 1)**2/13
Find d such that -100*d**2 + 64*d**2 - 10*d**3 + 8*d + 8*d = 0.
-4, 0, 2/5
Factor -2*w + 3*w + 5*w + 9*w**2 - 3*w**4.
-3*w*(w - 2)*(w + 1)**2
Let u(l) be the first derivative of 4*l**5/15 + 13*l**4/9 + 76*l**3/27 + 22*l**2/9 + 8*l/9 + 2. Let u(n) = 0. Calculate n.
-2, -1, -1/3
Suppose 196/3 + 4/3*c**2 + 56/3*c = 0. What is c?
-7
Let x = -2 + 4. Suppose -2*t + 3 = h - 7, h = x*t - 2. Factor 6*p**2 + t*p - p**3 - 2 - 6*p**2 + 0.
-(p - 1)**2*(p + 2)
Let x be 164/12 - 4/(-12). Let d be 2/7 - 4/x. Let -2/9*c + d - 2/3*c**3 + 2/9*c**4 + 2/3*c**2 = 0. Calculate c.
0, 1
Let x(v) be the second derivative of -v**6/360 - v**5/180 - 4*v**2 - v. Let m(g) be the first derivative of x(g). Factor m(w).
-w**2*(w + 1)/3
Let j(t) be the first derivative of -2/9*t**3 + 0*t + 8 - 1/3*t**2. Factor j(m).
-2*m*(m + 1)/3
Let g(z) be the third derivative of -z**5/300 - z**4/10 + 67*z**2. Determine i so that g(i) = 0.
-12, 0
Factor h**3 - 1 - 7/2*h**2 + 7/2*h.
(h - 2)*(h - 1)*(2*h - 1)/2
Let i = -16 - -16. Factor 0*x**2 - 1/2*x + 1/2*x**3 + i.
x*(x - 1)*(x + 1)/2
Let t be ((-75)/(-875))/(3/10). Determine k so that 0 + t*k**2 - 2/7*k = 0.
0, 1
Let f be (-20)/(-8)*(0 + (-12)/(-15)). Factor 1/4*u**3 + 0*u + 0 + 0*u**f.
u**3/4
Let v(s) be the second derivative of s**4/4 - 3*s**2/2 + 8*s. Find f, given that v(f) = 0.
-1, 1
Factor -11*v**2 + 4*v**3 + v**2 + 149 - 145 + 2*v.
2*(v - 2)*(v - 1)*(2*v + 1)
Let l be (-8 - -10) + (2 - (-7)/(-2)). Factor 1 - 1/2*r**3 + 3/2*r**4 - 5/2*r**2 + l*r.
(r - 1)**2*(r + 1)*(3*r + 2)/2
Suppose 0 = 4*a + a - 10. Suppose -2*x - 11 = -5*v + 9, 20 = 5*x + 5*v. Factor 5*g**2 + x - 4*g**a - 1.
(g - 1)*(g + 1)
Let p(u) be the first derivative of -u**7/147 + u**6/35 - 3*u**5/70 + u**4/42 - 3*u - 3. Let q(m) be the first derivative of p(m). Let q(y) = 0. Calculate y.
0, 1
Factor 0*y**2 + 0*y + 1/3*y**3 + 0.
y**3/3
Factor 4*g**3 - 16*g**2 + 4*g**4 + 2*g - 3*g**4 + 21*g**2.
g*(g + 1)**2*(g + 2)
Let o(l) = 8*l + 82. Let a be o(-10). Determine r so that -2 - 4/3*r - 2/9*r**a = 0.
-3
Let i = -5 - -9. Suppose