e of -p - 1/6*q**3 + 0*q - 1/4*q**2. What is h in r(h) = 0?
-1, 0
Let z(a) be the third derivative of a**6/30 + 17*a**5/15 + 40*a**4/3 + 128*a**3/3 + 36*a**2. Determine u, given that z(u) = 0.
-8, -1
Let b = -11/3 + 5. Factor 0 - 2/3*y + b*y**2 - 2/3*y**3.
-2*y*(y - 1)**2/3
Let d be (-223)/(-9) - 14/(-63). Let l = -23 + d. Solve 0 + 1/2*s**3 - 1/2*s**4 - 1/2*s + 1/2*s**l = 0 for s.
-1, 0, 1
Suppose 0 = -q - 9*q + 30. Let p(x) be the first derivative of -1/2*x**4 + 0*x + 3 + x**2 + 2/3*x**q - 2/5*x**5. Factor p(i).
-2*i*(i - 1)*(i + 1)**2
Let i = 37/1071 + 2/153. Let p(c) be the second derivative of i*c**3 + 0*c**2 + 0 + 3*c + 1/42*c**4. Find a, given that p(a) = 0.
-1, 0
Let b(a) be the second derivative of 0*a**3 + 0*a**2 + 3*a + 2/3*a**4 + 0 - 14/5*a**5 + 49/15*a**6. Let b(i) = 0. Calculate i.
0, 2/7
Let l = 5/33 + 2/11. Let r(i) be the first derivative of -3 - 1/12*i**4 - 1/2*i**2 + l*i + 1/3*i**3. What is x in r(x) = 0?
1
Let r(j) be the second derivative of -1/40*j**6 + 0 - 1/3*j**3 + j + 1/8*j**4 - 1/2*j**2 + 1/30*j**5. Let n(o) be the first derivative of r(o). Factor n(z).
-(z - 1)*(z + 1)*(3*z - 2)
Let c be ((-2)/18*-3*-1)/(-1). Factor -q - c*q**3 + q**2 + 1/3.
-(q - 1)**3/3
Factor 0*t**2 + 8*t**3 + 7*t**2 - 3*t**2 + 0*t**4 - 4*t**4 - 8*t.
-4*t*(t - 2)*(t - 1)*(t + 1)
Suppose 3*d + 3 - 9 = 0. Factor 1/5*t**d - 1/5 + 0*t.
(t - 1)*(t + 1)/5
Let g(x) = x**5 - x**3 + 1. Let k(l) = -5*l**5 + l**4 + 3*l**3 - 5*l**2 - 2*l - 6. Let o(a) = -6*g(a) - k(a). Suppose o(h) = 0. What is h?
-1, 0, 2
Let l(j) be the third derivative of -5/168*j**8 - 13/30*j**6 - 2*j**2 + 19/105*j**7 - 1/12*j**4 + 7/15*j**5 - 1/3*j**3 + 0 + 0*j. Factor l(z).
-2*(z - 1)**4*(5*z + 1)
Solve 0*g**3 + 1/7*g + 0 - 1/7*g**5 + 2/7*g**4 - 2/7*g**2 = 0.
-1, 0, 1
Let k = 8 + -5. Factor y**3 - 6*y + 5 - 3 + 4*y**2 + 3*y**k - 6*y**4 + 2*y**5.
2*(y - 1)**4*(y + 1)
Let f(g) = -g**3 + 1. Let x be f(-1). Solve 4 + 0*c**2 + 3*c**2 + 4*c - 2*c**x = 0 for c.
-2
Let t(a) be the second derivative of -6*a - 1/30*a**6 - 1/6*a**3 + 0*a**2 + 1/12*a**4 + 0 + 1/20*a**5. Factor t(q).
-q*(q - 1)**2*(q + 1)
Let d = -57 + 57. Let u(h) be the second derivative of 0 + 1/6*h**3 + d*h**2 - 1/12*h**4 - 3*h. Determine f so that u(f) = 0.
0, 1
Let g(u) = -u**3 - 6*u**2 + 6*u - 4. Let v be g(-7). Factor -o**4 + o**2 - o - 4*o**v + 3*o**3 + 2*o**3.
-o*(o - 1)**2*(o + 1)
Let t(y) be the second derivative of 0 + 6*y + 1/3*y**6 - y**5 + y**2 - 5/3*y**3 - 1/21*y**7 + 5/3*y**4. Let t(z) = 0. Calculate z.
1
Let x = -2/165 + 9044/165. Let q = 55 - x. Factor q*o**2 + 2/5*o + 1/5.
(o + 1)**2/5
Suppose 16 = 2*z - 4*a, -3*a - 7 + 1 = 0. Let y(s) be the first derivative of 0*s - 1/8*s**4 + 0*s**2 - 1/6*s**3 + z. Factor y(r).
-r**2*(r + 1)/2
Let s be (-28*1)/(-7) - 1. Solve 0*g**2 + 0*g**4 - 1/4*g**5 + 0*g + 0 + 1/4*g**s = 0 for g.
-1, 0, 1
Let 316 + 512*s + 192*s**2 + 364 + 2*s**4 + 32*s**3 - 168 = 0. Calculate s.
-4
Let w be 1/(-3) + (5/(-30) - -1). Solve 1/4*b**4 + 1/4 + 1/4*b**5 - w*b**3 + 1/4*b - 1/2*b**2 = 0 for b.
-1, 1
Let p = 35/54 - -1/54. Determine n so that -2/3*n**2 + 4/3 - p*n = 0.
-2, 1
Let n(g) be the third derivative of -2*g**7/35 + g**6/40 + 3*g**5/5 + 5*g**4/8 - g**3 - 15*g**2. Find s, given that n(s) = 0.
-1, 1/4, 2
Let l(t) be the second derivative of -t**4/42 + 2*t**3/21 + 8*t**2/7 + 22*t. Suppose l(k) = 0. What is k?
-2, 4
Suppose c - 2*i + 2 = 4, -4 = -3*c + 4*i. Suppose c*w - w + 12 = 0. Factor -w*h - h**3 + 12*h.
-h**3
Let m(g) = g**2 - 1. Let h(j) = -3*j**4 - 48*j**3 - 192*j**2 + 48*j + 195. Let b(l) = h(l) + 3*m(l). Factor b(f).
-3*(f - 1)*(f + 1)*(f + 8)**2
Let z = -9/421 + 3487/25260. Let q(g) be the second derivative of g - 1/15*g**3 + z*g**4 + 0 + 0*g**2. Factor q(y).
y*(7*y - 2)/5
Let a(l) be the first derivative of -l**5/10 + l**3/6 + 6. Factor a(w).
-w**2*(w - 1)*(w + 1)/2
Suppose 4*x + 0 - 2 = -3*n, -n + 5*x = -7. Suppose 2*d = 20 - 6. Factor 2*g**3 - d*g**4 + 2*g**5 + 6*g**n - 5*g + 0*g**5 + 4 + g**5 - 3.
(g - 1)**3*(g + 1)*(3*g - 1)
Let p be (-10)/4*(-6 + 4). Suppose -3*l = -p*m + 9, -4*m + 14 = l - 0*l. Factor -g**2 - 3/2*g**m + 3/2*g + 1.
-(g - 1)*(g + 1)*(3*g + 2)/2
Let i be 72/15 + 2/10. Factor -2*x**2 + 2*x**4 + 6*x**2 + x**4 - 2 - i*x**4.
-2*(x - 1)**2*(x + 1)**2
Suppose -d + 4 - 16 = 0. Let h be d/(-10)*(-60)/(-24). Find c, given that 3/2*c**4 + 0*c + 0 - 1/2*c**5 + 1/2*c**2 - 3/2*c**h = 0.
0, 1
Let s(v) = 6*v**4 - 8*v**3 - 12*v**2 + 18*v + 16. Let n(q) = -7*q**4 + 8*q**3 + 12*q**2 - 19*q - 16. Let m(d) = -2*n(d) - 3*s(d). Factor m(c).
-4*(c - 2)**2*(c + 1)**2
Let a be 3/(-4 - 44/(-8)). Factor -a*j + 2 + 1/2*j**2.
(j - 2)**2/2
Suppose 24/5*f**3 - 3*f**4 - 12/5 + 27/5*f**2 - 24/5*f = 0. Calculate f.
-1, -2/5, 1, 2
Let m be (-3)/(-3 - (-18)/8). Suppose -12 = 4*g - 3*v, g + v - m = -2*g. Suppose -2/7*s**2 + g*s**3 + 0 + 2/7*s**4 + 0*s = 0. Calculate s.
-1, 0, 1
Let h(q) be the third derivative of 3/40*q**6 + 0*q**7 - 6*q**2 + 0*q**4 + 0 - 1/112*q**8 + 0*q**3 + 0*q - 1/10*q**5. Factor h(k).
-3*k**2*(k - 1)**2*(k + 2)
Let b(g) be the first derivative of -1/3*g**3 + 1/5*g**2 - 1 + 0*g. Factor b(s).
-s*(5*s - 2)/5
Suppose -k - k + 8 = 0. Let c = k + -2. Solve 2/3*x**c - 2/3*x**4 + 2/3*x**3 + 0 - 2/3*x = 0.
-1, 0, 1
Let t(a) be the first derivative of a**6/360 + a**5/120 - 2*a**3/3 - 2. Let r(c) be the third derivative of t(c). Determine g so that r(g) = 0.
-1, 0
Let v = 14 - 13. Factor 4*t**4 - 2*t + v + 2*t**3 - 6*t**4 + t**4.
-(t - 1)**3*(t + 1)
Find h such that -2/7*h**2 + 12/7 + 2/7*h = 0.
-2, 3
Let o(s) be the second derivative of 0*s**2 + 0*s**4 - 3*s + 0 - 1/60*s**5 - 1/180*s**6 + 1/3*s**3. Let l(m) be the second derivative of o(m). Factor l(j).
-2*j*(j + 1)
Solve -9 + 15*w + 29*w**2 - 32*w**2 - 3*w**3 + 0 = 0.
-3, 1
Let i be 8/56 + 117/63. Solve -1/3*l + 1/3*l**4 + 1/3 + 2/3*l**3 - 2/3*l**i - 1/3*l**5 = 0 for l.
-1, 1
Let d(g) be the third derivative of g**6/120 - 10*g**2. Determine i, given that d(i) = 0.
0
Let w(s) be the first derivative of s**6/36 + s**5/15 - s**4/8 - 14. Find n such that w(n) = 0.
-3, 0, 1
Let d(z) be the second derivative of -z**7/420 + z**6/60 - z**5/20 + z**4/12 - 4*z**3/3 + 3*z. Let y(o) be the second derivative of d(o). Solve y(l) = 0.
1
Let l(i) be the second derivative of -3*i**5/140 + i**4/14 - i**3/14 - 26*i. Let l(f) = 0. Calculate f.
0, 1
Let i = -13/10 - -7/5. Let k(q) be the second derivative of 0 + 1/3*q**3 + 2*q + 0*q**2 + 0*q**4 - i*q**5. Factor k(m).
-2*m*(m - 1)*(m + 1)
Factor -2/5*a**2 + 7/5*a - 4/5 - 1/5*a**3.
-(a - 1)**2*(a + 4)/5
Let o(t) be the first derivative of 2*t**3/9 + 4*t**2/3 + 8*t/3 + 28. Determine f, given that o(f) = 0.
-2
Let n(u) be the third derivative of u**6/120 + u**5/12 + u**4/8 - 3*u**3/2 - 12*u**2. Factor n(r).
(r - 1)*(r + 3)**2
Solve 0 - 5 + 2*t**2 + t + 5 + t**3 = 0 for t.
-1, 0
Suppose 7 = 3*m + r, m - 5*r - 5 = -4*m. Suppose 24*f**2 + 3*f + 9*f**5 + 33*f**4 - 6*f**m - 3*f**4 + 36*f**3 = 0. What is f?
-1, -1/3, 0
Let q(c) be the second derivative of 2*c**7/21 - 4*c**6/15 - c**5/5 + 2*c**4/3 + 16*c - 2. Suppose q(n) = 0. What is n?
-1, 0, 1, 2
Let d = -15 - -15. Solve 0 + 6/7*j**3 - 4/7*j**2 - 2/7*j**4 + d*j = 0.
0, 1, 2
Let i(n) be the first derivative of 2*n**2 - 5/2*n**4 - 4/5*n**5 - 2/3*n**3 + 0*n - 4. Factor i(j).
-2*j*(j + 1)*(j + 2)*(2*j - 1)
Let v(c) = c**2 + 5*c - 1. Let g(u) be the third derivative of u**5/60 + u**4/8 - u**3/6 - u**2. Let j(i) = 5*g(i) - 3*v(i). Find r, given that j(r) = 0.
-1, 1
Let n(r) be the third derivative of 0*r**4 - 6*r**2 - 1/330*r**5 + 0 + 0*r**6 + 0*r + 1/1155*r**7 + 0*r**3. What is k in n(k) = 0?
-1, 0, 1
Let v = -1549 - -17053/11. Solve -4/11*n**3 + 2/11*n**5 - 4/11 + 4/11*n**4 - 16/11*n**2 - v*n = 0 for n.
-1, 2
Let h = -7 - -12. Factor -3*x**h + 0*x**4 + 0*x**4.
-3*x**5
Let b(n) be the first derivative of n**6/135 + n**5/30 + n**4/18 + n**3/27 - 5*n - 4. Let v(d) be the first derivative of b(d). Factor v(z).
2*z*(z + 1)**3/9
Let p(i) be the second derivative of 1/15*i**3 + 1/60*i**4 - 3/10*i**2 - 3*i + 0. Factor p(o).
(o - 1)*(o + 3)/5
Let s(v) = -6*v**2 - 4*v - v**3 + 2*v + 7 - 3*v. Let b be s(-5). Determine f, given that 3*f**2 - 3*f + b*f - 5*f**2 = 0.
0, 2
Let i(n) be the first derivative of n**6/6 - 3*n**5/5 - n**4/2 + 2*n**3 + n**2/2 - 3*n + 43. Factor i(c).
