960 - r**7/3360 + r**4/8 + 2*r**2. Let h(x) be the second derivative of k(x). Solve h(z) = 0 for z.
-1, 0
Find c, given that 0 + 3/7*c + 9/7*c**2 = 0.
-1/3, 0
Let g(k) = k**2 + 6*k - 17. Let y be g(-9). Let d = y + -10. Suppose -3/4*i**2 + 0 + 3/4*i**3 + d*i = 0. What is i?
0, 1
Suppose -5*c - 27 = -27. What is a in c - 2*a - 2/3*a**2 = 0?
-3, 0
Let z(p) be the second derivative of p**4/12 - 4*p**3/3 + 5*p**2 + 2*p. Let g be z(7). Factor 1 - g*y + 9*y**2 - 5 - 2.
3*(y - 1)*(3*y + 2)
Suppose -2*y - 5*u - 2 = -3, -y - 2*u = 1. Let x = -4 - y. What is q in 1/4*q + 0 - 1/4*q**x + 0*q**2 = 0?
-1, 0, 1
Let z = 0 - 5. Let x = 7 + z. Factor 3 - 3*n**2 + n**x + 2 - 3.
-2*(n - 1)*(n + 1)
Let x(d) be the third derivative of -2*d**7/945 + d**6/90 - 2*d**5/135 + 10*d**2. Factor x(o).
-4*o**2*(o - 2)*(o - 1)/9
Factor 0 + 0*y - 1/2*y**3 + 1/2*y**5 + y**2 - y**4.
y**2*(y - 2)*(y - 1)*(y + 1)/2
Find a such that 250*a**3 + 8*a - 246*a**3 - 20*a**2 + 8*a = 0.
0, 1, 4
Let d(l) = 5*l**2 - 36*l + 34. Let x(y) = 45*y**2 - 325*y + 305. Let m(r) = 55*d(r) - 6*x(r). Factor m(a).
5*(a - 4)*(a - 2)
Let f(b) be the third derivative of -b**5/150 - b**4/15 + b**3/3 - 20*b**2. Find q such that f(q) = 0.
-5, 1
Let x = -18/11 + 76/33. Factor 2*m**2 + 0 - x*m.
2*m*(3*m - 1)/3
Suppose -5*w + 0*w = 20. Let f be 75/42 - (-6)/w. Factor f*z**3 - 2/7 - 2/7*z + 2/7*z**2.
2*(z - 1)*(z + 1)**2/7
Let k(t) = -t**2 - 4*t + 1. Let m be k(-3). Let m*h**2 + h - h + 6*h - 2*h**2 + 4 = 0. What is h?
-2, -1
Let d(a) be the third derivative of 0 + 0*a**4 + 1/100*a**5 + 0*a - 4*a**2 + 0*a**3. Factor d(n).
3*n**2/5
Suppose 2/15*p**3 + 4/15 + 2/3*p + 8/15*p**2 = 0. What is p?
-2, -1
Solve -4/5*c**3 - 2/5*c**4 - 2/5*c**2 + 0 + 0*c = 0 for c.
-1, 0
Suppose -3*l + 184 + 80 = 0. Let b be 14/(-105) - l/(-210). Find a such that 0 + 0*a**4 + 4/7*a**3 - b*a + 0*a**2 - 2/7*a**5 = 0.
-1, 0, 1
Let p(s) be the first derivative of -s**4/16 - s**3/4 + 5*s + 5. Let w(j) be the first derivative of p(j). Find o such that w(o) = 0.
-2, 0
Factor 350*h**3 - 10*h**2 - 175*h**3 - 180*h**3.
-5*h**2*(h + 2)
Let q(o) = 11*o**2 + o - 7. Let p(y) = -10*y**2 - 2*y + 6. Let b(r) = 7*p(r) + 6*q(r). Suppose b(j) = 0. Calculate j.
-2, 0
Let -2*n**2 - 9*n**2 - 7*n**2 - 4*n + 10*n**5 + 18*n**4 - 10*n**3 + 4*n**5 = 0. Calculate n.
-1, -2/7, 0, 1
Let z(s) be the third derivative of 0 + 4/3*s**3 - 5*s**2 - 1/3*s**4 + 1/30*s**5 + 0*s. Factor z(v).
2*(v - 2)**2
Let r(b) be the first derivative of -7*b**6/51 - 38*b**5/85 + 13*b**4/34 + 38*b**3/51 - 6*b**2/17 - 14. Suppose r(p) = 0. Calculate p.
-3, -1, 0, 2/7, 1
Let r = 157/532 - 6/133. Let a(q) be the second derivative of -27/2*q**2 + 3*q + 0 - 3*q**3 - r*q**4. Factor a(v).
-3*(v + 3)**2
Suppose 3*r = -2*n - 4 + 3, 4*r = -20. Suppose 1 - n + 3*t**2 - 9*t + 3*t**2 = 0. Calculate t.
-1/2, 2
Solve 29*u**2 - 11*u**2 + u - 19*u**2 = 0.
0, 1
Suppose -12*g + 17 + 7 = 0. Determine i so that -1/2 - 2*i**g + 3/4*i**3 + 7/4*i = 0.
2/3, 1
Let r = 17 + -13. Let p(s) = s**3 - 5*s**2 + 4*s + 5. Let a be p(r). Factor 0 - h**4 - h**3 - 1/3*h**2 + 0*h - 1/3*h**a.
-h**2*(h + 1)**3/3
Let y be (2/(-5))/(16/(-10)). Solve -2*b**4 + 0 + 1/2*b**2 + 5/4*b**5 + 0*b + y*b**3 = 0.
-2/5, 0, 1
Let c(t) be the third derivative of -1/60*t**4 + 0 + t**2 + 0*t + 0*t**3 + 0*t**5 + 1/300*t**6. Factor c(s).
2*s*(s - 1)*(s + 1)/5
Let f(q) = -3*q**5 - 11*q**4 - 5*q**3 + 6*q**2 - 2*q - 5. Let l(s) = -3*s**5 - 10*s**4 - 4*s**3 + 6*s**2 - s - 4. Let w(n) = -4*f(n) + 5*l(n). Factor w(o).
-3*o*(o - 1)*(o + 1)**3
Let k(w) be the third derivative of w**7/1155 - w**6/330 + w**4/66 - w**3/33 + 9*w**2. Factor k(h).
2*(h - 1)**3*(h + 1)/11
Suppose 0 = -5*q + 64 + 76. Let h be (-6)/(-21) + 6/q. Determine b, given that h*b + 1/4 + 1/4*b**2 = 0.
-1
Suppose 33*b - 3*z + 15 = 30*b, -2*z = 2*b - 10. Factor 3/2*q**2 + b + 3*q.
3*q*(q + 2)/2
Let u(n) = n**3 - n**2 + n. Let g(d) = 4*d**3 + d**2 + 3*d. Let w(i) = -g(i) + 3*u(i). Solve w(r) = 0.
-4, 0
Suppose -5*m = -l - 3, 2*l + 0*m - 7 = -3*m. Factor p**l - p + 0*p**2 + 0 - 2.
(p - 2)*(p + 1)
Let d(x) be the first derivative of -x**3/7 + 21. Let d(g) = 0. Calculate g.
0
Let s(k) be the first derivative of -8*k**3/27 - 4*k**2/3 - 2*k - 29. Find t, given that s(t) = 0.
-3/2
Suppose 19*i + 11 + 9*i**2 - 64*i + 59 - 4*i**2 = 0. What is i?
2, 7
Let y(f) = f - 3. Let d be y(2). Let w be (-12)/4 + (2 - d). Let -1/2*g**3 + w*g**2 + 1/2*g + 0 = 0. Calculate g.
-1, 0, 1
Suppose -1/2*i**3 + 0 + 0*i**2 + 1/2*i = 0. Calculate i.
-1, 0, 1
Let w(h) be the first derivative of 35*h**4/4 - 55*h**3/3 + 5*h**2/2 + 15*h - 26. Factor w(z).
5*(z - 1)**2*(7*z + 3)
Let r be (-40)/(-112) - (-1)/(-4). Let d = r - -47/84. Let 1/3 + d*p**3 - 1/3*p**5 - 1/3*p - 2/3*p**2 + 1/3*p**4 = 0. What is p?
-1, 1
Let x be 5*(2 - 184/100). Suppose 68*g = 62*g. Factor 0 + 6/5*r**2 - 2/5*r**4 + g*r**3 - x*r.
-2*r*(r - 1)**2*(r + 2)/5
Suppose 5*w - 5*a = 45, 0 = -w - 4*a - 21 + 5. Solve 0*z - 1/5*z**2 + 0*z**3 + 0 + 1/5*z**w = 0.
-1, 0, 1
Suppose -2*n = -0*n. Suppose 9 = 3*k - n*k. Factor -12*g**2 - 18*g**k - g - 2*g + g.
-2*g*(3*g + 1)**2
Let u be 1 + 6*(-4)/(-12). Factor -4/7*f**u - 4/7*f**2 + 2/7*f**4 + 2/7 + 2/7*f + 2/7*f**5.
2*(f - 1)**2*(f + 1)**3/7
Let w(a) be the first derivative of -a**4/3 - 40*a**3/27 - 2*a**2 - 8*a/9 - 6. Factor w(b).
-4*(b + 1)*(b + 2)*(3*b + 1)/9
Factor 3/2*i + 0 + 3/2*i**2.
3*i*(i + 1)/2
Let s be 4606/(-15) - (-8)/12. Let n = s - -308. Factor -8/5 - 2/5*x**4 + 6/5*x**2 + 4/5*x**3 - n*x.
-2*(x - 2)**2*(x + 1)**2/5
Let l be (-8)/4*1 - -4. Let b(g) be the first derivative of l - 2/7*g + 4/21*g**3 + 0*g**4 + 0*g**2 - 2/35*g**5. Solve b(z) = 0.
-1, 1
Let x be 12*(-1)/(-10)*25/20. Factor -3/4*h - 3/4*h**2 + x.
-3*(h - 1)*(h + 2)/4
Let c be (0/((-8)/2))/2. Let a(n) be the second derivative of -2*n - 5/6*n**3 + 1/2*n**2 - 3/20*n**5 + c + 7/12*n**4. Find k such that a(k) = 0.
1/3, 1
Let y(a) be the first derivative of 5*a**6/6 + 2*a**5 - 10*a**3/3 - 5*a**2/2 - 7. Factor y(x).
5*x*(x - 1)*(x + 1)**3
Factor -4/19 + 10/19*c**3 + 14/19*c - 2/19*c**4 - 18/19*c**2.
-2*(c - 2)*(c - 1)**3/19
Let y(c) = c**3 - 13*c**2 + 14*c + 4. Let n be y(12). Let u be 2/(-5) - n/(-70). Factor 1/5*p + 1/5*p**2 + u.
p*(p + 1)/5
Let c = -2/27 + 35/108. Let x be ((-14)/6 + 2)/((-1)/6). Factor -1/4*d**3 - c*d**x + 0 + 0*d.
-d**2*(d + 1)/4
Let x(r) = r**2 - 9*r + 12. Let p be x(8). Let v(w) = -w**3 - 4*w**2 - 4*w - 1. Let q be v(-3). Factor m**p - 3*m**q + 4 + 2*m - 4.
m*(m - 1)**2*(m + 2)
Suppose -10*w + 2 = 2. Let n be (-26)/(-8) - (-2)/(-8). What is k in 1/2*k**n - 1/2*k**4 + 0*k + w + k**2 = 0?
-1, 0, 2
Let a = 16 - 20. Let w(k) = -k**3 - 5*k**2 - 4*k + 2. Let u be w(a). Determine z, given that -1/6*z**4 - 1/6*z**3 + 1/2*z**u + 5/6*z + 1/3 = 0.
-1, 2
Let i(u) be the second derivative of u**7/14 - 3*u**6/5 + 21*u**5/10 - 4*u**4 + 9*u**3/2 - 3*u**2 + 19*u. Factor i(j).
3*(j - 2)*(j - 1)**4
Let v be 9264/288 + -1 + (-6)/(-4). Factor -2*a**2 + v*a**4 + 8/3 + 140/3*a**3 - 40/3*a.
2*(a + 1)**2*(7*a - 2)**2/3
Let 0 + 4/3*v + 2/3*v**2 - 2/3*v**4 - 2*v**3 + 2/3*v**5 = 0. Calculate v.
-1, 0, 1, 2
Let r(l) = -10*l**3 + 6*l**2 - 6*l - 6. Let b(n) = -3*n + 3*n - n**3 - 7 + 6. Let k(x) = -8*b(x) + r(x). Factor k(w).
-2*(w - 1)**3
Let x(i) = 3*i**3 + 6*i**2 - 6. Let o(p) = p**3 + p**2 - 1. Suppose 9 = -2*k - 3. Let r(q) = k*o(q) + x(q). Factor r(h).
-3*h**3
Let g(i) be the third derivative of -i**7/1400 - i**6/600 + i**3/2 - i**2. Let l(k) be the first derivative of g(k). Factor l(o).
-3*o**2*(o + 1)/5
Let i = -50 - -53. Let f(g) be the first derivative of -2/15*g**i - 4 + 1/5*g**2 + 2/5*g - 1/10*g**4. Factor f(h).
-2*(h - 1)*(h + 1)**2/5
Factor 29/2*q**2 + 21/2*q**3 - 2 + 2*q.
(q + 1)*(3*q + 2)*(7*q - 2)/2
Let p = -1661/1140 - -28/19. Let g(u) be the third derivative of 1/6*u**3 - u**2 + 0*u + 1/12*u**4 + p*u**5 + 0. Factor g(k).
(k + 1)**2
Determine p so that -60*p - 49 - 131 + 0 - 5*p**2 = 0.
-6
Let i(d) = -2*d**3 + 7*d**2 - 18*d + 5. Let a(g) = 2*g**3 - 6*g**2 + 18*g - 6. Let f(v) = 5*a(v) + 6*i(v). Let f(s) = 0. Calculate s.
0, 3
Let g(f) = -f**2 - 21*f. Let i be g(-21). Determine y, given that 4/3*y**3 - 2/3*y + i*y**2 - 2/3*y**5 + 0 + 0*y**4 = 0.
-1, 0, 1
Solve 3/2*r**4 + 0 - 9/2*r + 33/2*r**2 - 19/2*r**3 = 0 for r.
0, 1/3, 3
Factor t**5 + 4*t**5