of 1 - 2*g - 2*g**3 + 1/2*g**4 + 3*g**2. Suppose o(i) = 0. Calculate i.
1
Let o(w) be the first derivative of -w**8/784 + w**7/245 - w**6/280 + 2*w**2 - 6. Let k(x) be the second derivative of o(x). Factor k(l).
-3*l**3*(l - 1)**2/7
Let z = -2/411 + 419/1644. Suppose -3/4*v**2 + 1/4*v**4 - 1/4*v + z*v**3 + 1/2 = 0. What is v?
-2, -1, 1
Suppose -5*z - 15 = -5*y, -3*y + 5 = -8*y - 5*z. Suppose 5 + y = 3*n. Solve 0 + 2/5*b**n - 3/5*b**3 + 0*b + 1/5*b**4 = 0 for b.
0, 1, 2
Let c be -1 - ((-16)/4)/4. Let k(l) be the first derivative of 1 + c*l - 1/4*l**4 + 1/5*l**5 + 0*l**2 + 0*l**3. Factor k(p).
p**3*(p - 1)
Let d(t) be the third derivative of 0*t - 3*t**2 + 0 - 1/4*t**4 - 1/20*t**5 + 0*t**3 + 1/20*t**6 + 1/70*t**7. Solve d(q) = 0 for q.
-2, -1, 0, 1
Let h(t) be the third derivative of -t**8/672 + t**7/420 + 14*t**2. Factor h(g).
-g**4*(g - 1)/2
Let v = -22 - -16. Let i be (v/(-20))/((-3)/(-8)). Factor -2/5*d**5 + 0*d**2 + i*d**4 - 2/5*d**3 + 0*d + 0.
-2*d**3*(d - 1)**2/5
Suppose -64*i - 6 = -67*i. Solve 0*q + 0*q**3 + 1/3*q**i + 0 - 1/3*q**4 = 0.
-1, 0, 1
Suppose 0 = -3*a - f + 10, -a - 2 = -4*f - 1. Suppose 0 + 2/3*n**4 + 0*n + 0*n**2 + 2/3*n**a = 0. What is n?
-1, 0
Let i(l) be the first derivative of -l - 1/4*l**4 - 2 + 1/2*l**2 + 1/3*l**3. Factor i(a).
-(a - 1)**2*(a + 1)
Let i(a) be the second derivative of -a**8/1344 - a**7/420 - a**2 + 5*a. Let u(g) be the first derivative of i(g). Solve u(m) = 0.
-2, 0
Let 4*z**2 - 11/2*z + 3/2 = 0. Calculate z.
3/8, 1
Factor -4*h**4 + 13*h**4 - 9*h**3 + 4*h**3 + 3*h**2 - 4*h**3 - 3*h**5.
-3*h**2*(h - 1)**3
Let k be (-10)/25 + 24/10. Let p(t) be the second derivative of 0 + 2*t**3 - 2*t - 4*t**k - 1/2*t**4 + 1/20*t**5. Solve p(f) = 0.
2
Let u(n) be the second derivative of -n**10/90720 + n**9/22680 - n**8/20160 - n**4/4 + 2*n. Let h(c) be the third derivative of u(c). What is w in h(w) = 0?
0, 1
Let o(y) = -y**3 + 4*y**2 + y - 2. Let a be o(3). Factor -4*w**4 - 4*w**4 - 2*w + 4*w**4 - 8*w**2 - a*w**3.
-2*w*(w + 1)**2*(2*w + 1)
Let y(x) = -8*x**4 - 17*x**3 - 8*x**2 + 11*x. Let k(l) = 3*l**4 + 6*l**3 + 3*l**2 - 4*l. Let j(b) = -11*k(b) - 4*y(b). Factor j(n).
-n**2*(n - 1)**2
Let m = 85 - 83. Let o(u) be the first derivative of -1/3*u**5 + 0*u + 0*u**2 - m + 0*u**3 - 1/6*u**4. Let o(a) = 0. Calculate a.
-2/5, 0
Suppose s + 4*f = -0*s + 8, 0 = -3*s - 2*f - 6. Let q be (-1)/((s + 3)/5). Find h such that 2*h**2 + 0 + 9/2*h**q - 3*h**4 - 11/2*h**3 + 2*h = 0.
-2/3, 0, 1
Suppose 0 = 3*y + y - 16. Factor -22*c**2 - c**4 - 3*c**4 - 4*c - 33*c**3 - y*c**4 + 7*c**3.
-2*c*(c + 1)*(c + 2)*(4*c + 1)
Let t(f) be the third derivative of 0*f**5 + 0*f - 1/180*f**6 + 0*f**7 + 0*f**3 + 0*f**4 - 2*f**2 + 1/504*f**8 + 0. Factor t(j).
2*j**3*(j - 1)*(j + 1)/3
Let d = 311/231 - 1/77. Factor -2*g**2 + 0 + d*g + 2/3*g**3.
2*g*(g - 2)*(g - 1)/3
Let n(x) = -x**2 - 14*x - 9. Suppose -2*t - 1 = 25. Let a be n(t). Factor 0*o**3 + 0*o + 2*o**2 - 25/2*o**a + 0.
-o**2*(5*o - 2)*(5*o + 2)/2
Let g(y) = -y**2 - 6*y + 7. Let r be g(-7). Factor v + r*v - v**2 + 0*v.
-v*(v - 1)
Let z(a) = -2*a**3 - 2*a**2 + 5*a - 1. Let m(k) = k**4 + k**3 - k**2 - 1. Let p(c) = -m(c) - z(c). Find r such that p(r) = 0.
-2, 1
Let v = -1 - -2. Let m = v + -1. Factor 2/5*w**2 + m + 0*w.
2*w**2/5
Let s = -17 - -39/2. Let s*f**2 - 1/4*f**5 + 5/4*f**4 + 1/4 - 5/4*f - 5/2*f**3 = 0. What is f?
1
Let y(d) be the first derivative of d**3/18 + 5*d**2/6 + 25*d/6 + 11. Factor y(w).
(w + 5)**2/6
Let c(n) be the first derivative of -n**7/147 + 2*n**6/105 - n**4/21 + n**3/21 - 2*n + 5. Let k(r) be the first derivative of c(r). Factor k(g).
-2*g*(g - 1)**3*(g + 1)/7
Let i(d) be the second derivative of -d**5/30 + d**3/9 + 3*d - 6. Factor i(l).
-2*l*(l - 1)*(l + 1)/3
Let t(h) be the third derivative of h**6/30 - h**4/6 + 13*h**2. Factor t(d).
4*d*(d - 1)*(d + 1)
Let z(r) be the first derivative of -r**4/18 + r**3/3 - 2*r**2/3 - 4*r + 4. Let u(a) be the first derivative of z(a). Factor u(q).
-2*(q - 2)*(q - 1)/3
Suppose 0 = -5*c - 15, -t - 11 = -5*t + c. Let 8/11 + 2/11*y**t + 8/11*y = 0. Calculate y.
-2
Let a(y) be the first derivative of 34*y**3/3 + 27*y**2 + 20*y + 3. Let b(z) = -7*z**2 - 11*z - 4. Let j(s) = -3*a(s) - 14*b(s). Solve j(q) = 0 for q.
-1
Factor -2*y**3 + 8/3*y + 8/3*y**2 + 0.
-2*y*(y - 2)*(3*y + 2)/3
Let d(x) be the first derivative of -x**4/20 - x**3/5 - 3*x**2/10 + 2*x + 1. Let t(y) be the first derivative of d(y). Factor t(n).
-3*(n + 1)**2/5
Let o(h) be the first derivative of 4*h**3/3 + 11. Factor o(n).
4*n**2
Let j be (-10)/(-8)*(-40)/(-10). Find q, given that -6*q**3 - 3*q - 2 + 4*q**2 + 7*q - 2*q + 2*q**3 + 2*q**j - 2*q**4 = 0.
-1, 1
What is x in 2/19*x**2 + 0*x - 8/19 = 0?
-2, 2
Suppose -4*s = -3*x + 22, 4*x = 5*x + 2*s + 6. Factor -l + 2*l**4 - l**5 - l**x - l**2 + l + l.
-l*(l - 1)**3*(l + 1)
Let w(r) be the first derivative of 2*r + 1/3*r**3 + 0*r**2 - 1/2*r**4 + 1. Let k(p) be the first derivative of w(p). Suppose k(u) = 0. Calculate u.
0, 1/3
Let h(m) be the third derivative of m**7/1470 + m**6/420 - m**5/420 - m**4/84 + m**2. Let h(z) = 0. Calculate z.
-2, -1, 0, 1
Let -1/3*b**3 - 5/6*b**2 - 2/3*b - 1/6 = 0. Calculate b.
-1, -1/2
Let f be (11/(-2))/(1/(-4)). Suppose f = 5*o + 2. Find b such that -4 + 22*b - b**4 + 41*b**3 - 7*b**o - 42*b**2 - 7*b**3 - 2*b**4 = 0.
2/5, 1
Let b(m) be the third derivative of -1/9*m**3 - 1/180*m**6 - 3*m**2 + 1/90*m**5 + 0 + 1/36*m**4 + 0*m. Factor b(u).
-2*(u - 1)**2*(u + 1)/3
Let v = -17076875/77 - -221753. Let z = v - -280/11. Factor z*p**2 - 2/7*p**3 - 6/7*p + 2/7.
-2*(p - 1)**3/7
Let q be 3*(2 + 0 + -1). Let s = -1 + q. Solve -2/3*n**s - 2/3 - 4/3*n = 0 for n.
-1
Let q(w) be the second derivative of -w**4/8 + 5*w**3/12 + 9*w + 2. Determine i, given that q(i) = 0.
0, 5/3
Suppose -u = w - 4 - 2, -u + w = -2. Factor -q**3 + 9*q**2 - 9*q**4 - q + u*q**3 - 5*q + 3*q**3.
-3*q*(q - 1)*(q + 1)*(3*q - 2)
Let c be 1 + (28/(-6))/7. Let a(j) be the third derivative of -c*j**4 + 4/3*j**3 + 1/30*j**5 + 0*j + 0 - j**2. Factor a(y).
2*(y - 2)**2
Let x = 8 - 5. Suppose 5*i + 0*i**2 - 3*i - x*i - i**2 + 2 = 0. What is i?
-2, 1
Let a(g) be the second derivative of 1/3*g**3 + 0*g**2 + 3*g + 0*g**4 - 1/10*g**5 + 0. What is r in a(r) = 0?
-1, 0, 1
Let g(r) be the third derivative of -1/105*r**7 - 3*r**2 + 0 + 0*r**3 + 0*r**4 + 1/336*r**8 + 0*r**5 + 0*r**6 + 0*r. Solve g(d) = 0 for d.
0, 2
Let w be ((-1 + -3)/1)/(-1). Let a be ((-20)/6)/(w/(-6)). Factor -4*g**a - g**3 + 2*g**5 + 3*g**3.
-2*g**3*(g - 1)*(g + 1)
Suppose -16 = -5*y + y. Suppose y*a = -n - 2*n + 11, -a + n = -1. Suppose 0 - 2/3*c**a - 2/3*c = 0. Calculate c.
-1, 0
Let h(z) = z**2. Let l be (-1)/2*(5 - 11). Let v(k) = -2*k**l + 3*k**3 - 4*k**2 + 2*k**3. Let s(c) = -2*h(c) - v(c). Factor s(j).
-j**2*(3*j - 2)
Let l be (-8)/3*(-15)/70. Solve -6/7*b**3 - 10/7*b**4 + 2*b**2 + 6/7*b - l = 0 for b.
-1, 2/5, 1
Let h(x) be the third derivative of -x**10/52920 - x**9/17640 + x**7/8820 + x**4/6 + 4*x**2. Let u(k) be the second derivative of h(k). Factor u(j).
-2*j**2*(j + 1)**2*(2*j - 1)/7
Let n(d) be the first derivative of -d**3/2 - 9*d**2/2 - 27*d/2 - 13. Factor n(c).
-3*(c + 3)**2/2
Let l(u) be the third derivative of u**6/660 + 7*u**5/330 - 3*u**2. Solve l(n) = 0 for n.
-7, 0
Let y = 9 + -5. Suppose y*g - g = 9. Solve 5*t**3 + 2*t**3 - g*t**3 - 2*t - 2*t**5 = 0 for t.
-1, 0, 1
Suppose 5*s + 0*f + 7 = -4*f, -2*s - 4*f - 10 = 0. Let x be (-20)/(-4) - (s - -2). Factor -2*t**x + 10/3*t**3 + 0 - 4/3*t.
2*t*(t - 1)*(5*t + 2)/3
Suppose 8*p = 6*p + 4. Let t(h) be the second derivative of -1/25*h**5 - 1/60*h**4 + 0 + 1/50*h**6 + 0*h**2 - p*h + 1/15*h**3. Factor t(g).
g*(g - 1)**2*(3*g + 2)/5
Let x be 9/(-6)*2/(-3). Let r be x/3 + 8/3. Determine o so that 5 + 6*o + 12*o**2 + 2*o**r + 11 + 18*o = 0.
-2
Let f(n) be the third derivative of -n**7/2940 + n**6/1260 - 2*n**3/3 - n**2. Let q(g) be the first derivative of f(g). Determine w so that q(w) = 0.
0, 1
Suppose 0 = -3*x + 2*k + 4, -x = -4*x - 3*k + 9. Let t(g) be the first derivative of -1/3*g**x - 1/9*g**3 + 5 + g. Find w such that t(w) = 0.
-3, 1
Let w = 11 - 2. Determine i, given that -3*i**2 - 6*i**3 + 3*i**3 + w*i**2 = 0.
0, 2
Let a(z) = -z**3 - 5*z**2 - 6*z - 6. Let f be a(-4). Suppose 2*w - w**2 + 2*w**f - 6*w + w**2 = 0. Calcula