2)**2/7
Let k be ((-50)/15 - -3)*(-5 + -4). Factor 9/2*q**2 + 0 - 3/2*q**3 - k*q.
-3*q*(q - 2)*(q - 1)/2
Let h = 249/8 + -280/9. Let s(d) be the third derivative of -h*d**4 + 1/180*d**5 - 1/18*d**3 + 3*d**2 + 1/360*d**6 + 0*d + 0. Factor s(w).
(w - 1)*(w + 1)**2/3
Let x(c) be the first derivative of -5*c**3/3 - 35*c**2/2 - 30*c + 12. What is w in x(w) = 0?
-6, -1
Let w(m) be the third derivative of -m**9/75600 + 5*m**4/12 - 9*m**2. Let g(y) be the second derivative of w(y). Let g(r) = 0. Calculate r.
0
Let k(h) be the second derivative of -h**7/126 + h**6/45 + h**5/60 - h**4/18 - 19*h. Solve k(g) = 0 for g.
-1, 0, 1, 2
Let y(z) be the third derivative of -z**8/1008 + z**7/315 + z**6/90 - 2*z**5/45 + 28*z**2 + z. Factor y(j).
-j**2*(j - 2)**2*(j + 2)/3
Let y(w) be the first derivative of 8 + 0*w**2 - 3/4*w**4 + 1/2*w**6 + 0*w - 3/5*w**5 + w**3. Suppose y(z) = 0. Calculate z.
-1, 0, 1
Let f(x) = -x**2. Let j(q) = -q**2. Suppose -2 - 4 = 3*b. Let k be (-4)/(-3)*(-3)/b. Let o(h) = k*f(h) - 4*j(h). Factor o(i).
2*i**2
Let c(t) be the second derivative of 0*t**2 + 1/18*t**4 - 1/9*t**3 - 4*t + 0. Factor c(v).
2*v*(v - 1)/3
Let l be (-30)/(-8) + 3/(-4). Factor 4*y**5 + 8*y + 8*y**3 - 5*y**5 - 4*y**4 + 20*y**2 - 3*y**5 + 4*y**l.
-4*y*(y - 2)*(y + 1)**3
Let l(w) be the second derivative of w**6/10 + 9*w**5/20 + w**4/2 + 13*w. Factor l(c).
3*c**2*(c + 1)*(c + 2)
Let d = -7 - -10. Factor d*w**2 + 0 - 3 - 2*w**2 + 2*w**2.
3*(w - 1)*(w + 1)
Let a(n) = -7*n**2 - 6*n + 4. Let i be 1*3/(-6)*-6. Let r(w) = 8*w**2 + 7*w - 5. Let j(v) = i*r(v) + 4*a(v). Solve j(x) = 0.
-1, 1/4
Let b(d) be the third derivative of d**8/168 + 2*d**7/35 + 7*d**6/30 + 8*d**5/15 + 3*d**4/4 + 2*d**3/3 - 2*d**2. Find m such that b(m) = 0.
-2, -1
Suppose 4*z = -4*m, 0 = 4*z - 3*m + 4*m - 9. Suppose 0*h + 9 = z*h. Factor 5*v - 9*v**4 + 9*v**2 + v + 0*v**h - 4*v**3 - 2*v**3.
-3*v*(v - 1)*(v + 1)*(3*v + 2)
Let m(l) be the third derivative of -l**11/831600 + l**9/75600 - l**7/12600 - 7*l**5/60 + 4*l**2. Let z(b) be the third derivative of m(b). Solve z(r) = 0.
-1, 0, 1
Let b(g) be the first derivative of -4*g**3/3 - 32*g**2 + 41. Factor b(d).
-4*d*(d + 16)
Let v(j) be the third derivative of -j**8/588 - 11*j**7/1470 - 3*j**6/280 - j**5/420 + j**4/168 - 6*j**2. Find h, given that v(h) = 0.
-1, 0, 1/4
Factor 0*t + 1/2*t**4 - 1/2*t**2 + 0 + 0*t**3.
t**2*(t - 1)*(t + 1)/2
Let z be 39/(-91) + (-58)/(-70). Let n = 2/19 - -28/95. Factor n*a - z*a**2 + 0.
-2*a*(a - 1)/5
Let p(j) = 2*j. Let z be p(1). Factor -4/7*r**z - 4/7*r**3 - 2/7 - 2/7*r**5 + 6/7*r**4 + 6/7*r.
-2*(r - 1)**4*(r + 1)/7
Let l(i) be the third derivative of i**7/210 - i**5/20 + i**4/12 - 4*i**2. Determine u so that l(u) = 0.
-2, 0, 1
Find o such that 6*o**4 - 1/2 - 11/2*o**2 + 9/4*o**5 + o**3 - 13/4*o = 0.
-2, -1, -1/3, 1
Let v(l) be the second derivative of -l**4/42 + 2*l**3/21 - l. Suppose v(x) = 0. Calculate x.
0, 2
Let v be (-2)/6 + 20/24. Let t(f) = -f. Let n be t(0). Determine g, given that v - g**2 + 0*g**3 + n*g + 1/2*g**4 = 0.
-1, 1
Determine j so that -6*j + 6 + 3/2*j**2 = 0.
2
Let y(g) be the first derivative of -3*g**4/28 - 5*g**3/7 - 9*g**2/14 + 27*g/7 - 27. Factor y(r).
-3*(r - 1)*(r + 3)**2/7
Let m(o) be the second derivative of o**7/280 + o**6/480 - o**5/120 + o**2 + 2*o. Let f(v) be the first derivative of m(v). Let f(x) = 0. Calculate x.
-1, 0, 2/3
Let y(d) be the third derivative of 1/140*d**7 + 0 - 1/672*d**8 - 3*d**2 - 1/120*d**6 + 1/16*d**4 - 1/12*d**3 + 0*d - 1/60*d**5. Factor y(q).
-(q - 1)**4*(q + 1)/2
Let v(q) = 9*q**3 - 11*q**2 + 13*q - 11. Let o(u) = 7 - 7*u - 4 - 2*u**3 - 3*u**3 + 6*u**2 + 3. Let h(g) = 11*o(g) + 6*v(g). Factor h(b).
-b*(b - 1)*(b + 1)
Let q = 3 - 2. Let p = 3 - q. Suppose -y**2 - y**4 - 4*y + 4*y + p*y**3 = 0. What is y?
0, 1
Let b(v) = -v**2 + v - 1. Let y be (1 + 2 + -2)*12. Let l(u) = 3*u**2 - 4*u + 5. Let o(x) = y*b(x) + 3*l(x). Factor o(h).
-3*(h - 1)*(h + 1)
Suppose q - 5*q - 99 = 3*y, -y + 5*q = 52. Let m = y + 39. Factor -2/3*d**m + 0*d**4 + 0 - 1/3*d**5 + 0*d + d**3.
-d**2*(d - 1)**2*(d + 2)/3
Suppose 0 = -t - 2 + 4. Let z = t + 4. Solve -6*j**4 + 8*j**5 + 5*j + z*j**2 - 10*j**3 + 2*j - 5*j = 0.
-1, -1/4, 0, 1
Let m be ((-10)/70)/(5/106). Let t = 24/7 + m. Factor -t*z**3 - 2/5 + 2/5*z + 2/5*z**2.
-2*(z - 1)**2*(z + 1)/5
Let y(a) be the second derivative of 5*a**7/28 - 3*a**6/5 + 27*a**5/40 - a**4/4 + 5*a. Let y(f) = 0. What is f?
0, 2/5, 1
Let l(u) be the second derivative of 20*u**7/21 + 10*u**6/3 + u**5/2 - 85*u**4/12 - 55*u**3/6 - 5*u**2 + 4*u. Let l(z) = 0. Calculate z.
-2, -1/2, 1
Factor -2/21*n**2 - 8/21*n + 0.
-2*n*(n + 4)/21
Let o(c) = 3*c**2 - 14*c - 5. Let h(n) = -15*n**2 + 69*n + 24. Let w(t) = 5*h(t) + 24*o(t). Factor w(g).
-3*g*(g - 3)
Factor -105*w**2 + 103*w**2 - 6*w + 0*w + 8.
-2*(w - 1)*(w + 4)
Suppose -99 + 83 = -8*p. Factor 0 + 2/3*a - 2/3*a**p.
-2*a*(a - 1)/3
Let k be (-12)/30*(0 + (-1)/2). Determine a so that -3/5*a**2 - 3/5*a - 1/5*a**3 - k = 0.
-1
Suppose 4*l - 40 = 2*w, -5*l = -4*w - 0*l - 65. Let f be 10/(-25) + (-4)/w. Find g, given that -2/7*g**5 + 0*g**3 + 0*g**4 + 0*g + 0*g**2 + f = 0.
0
Let w(k) be the second derivative of k**5/40 + 7*k**2/2 + 5*k. Let h(d) be the first derivative of w(d). Factor h(c).
3*c**2/2
Let x(b) = b**3 + 2*b**2 - 2*b - 1. Let a be x(-3). Let c be 8/12*(-6)/a. Factor -6*r**3 + r + 3*r**5 - 6*r**2 + 2*r + 3*r**4 + 4 - c.
3*(r - 1)**2*(r + 1)**3
Suppose 42*k**2 + 4*k - 76*k**2 + 32*k**2 = 0. Calculate k.
0, 2
Let b(p) be the third derivative of p**7/420 - p**5/60 + 2*p**3/3 - 3*p**2. Let x(c) be the first derivative of b(c). Factor x(a).
2*a*(a - 1)*(a + 1)
Let h = 9 - -9. Let a be (1/(-6))/((-2)/h). Find j such that 0*j**2 - 3*j**3 + 0*j**4 + 3/2*j**5 + 0 + a*j = 0.
-1, 0, 1
Let d(l) = 7*l**2 + 2*l - 4. Let s = -2 - -3. Let q(t) = t**2. Let f(k) = s*d(k) - 5*q(k). Factor f(w).
2*(w - 1)*(w + 2)
Let m(p) = 2*p**5 - 8*p**4 + 6*p**3 + 3*p. Let u(q) = -q. Let c(i) = -m(i) - 3*u(i). Factor c(z).
-2*z**3*(z - 3)*(z - 1)
Let q(b) be the second derivative of 7*b**6/135 + 31*b**5/90 + 20*b**4/27 + 4*b**3/9 + 3*b. Solve q(k) = 0 for k.
-2, -3/7, 0
Let b be (165/99)/(10/12). Solve 1/3*d - 1/3*d**b + 2/3 = 0.
-1, 2
Let t = -70 + 7. Let y be (1 - (-60)/t)*6. Solve 8/7*r**2 - 6/7*r - y = 0.
-1/4, 1
Let i(o) = o**5 - 4*o**4 - o**3 - 8*o**2 - 6*o. Let n(p) = p**5 - 5*p**4 - p**3 - 9*p**2 - 7*p. Let w(c) = 7*i(c) - 6*n(c). Factor w(y).
y**2*(y - 1)*(y + 1)*(y + 2)
Solve -2/25*h**4 - 24/25*h**2 - 12/25*h**3 - 16/25*h + 0 = 0.
-2, 0
Let m(j) = 2*j. Let r(h) = 4*h + 1. Let n(o) = 5*m(o) - 2*r(o). Let g be n(2). Suppose w - 7*w + 4*w**3 + 4*w**g + 0*w - 6*w**4 + 2 + 2*w**5 = 0. What is w?
-1, 1
Let f(d) = -d**2 - 5*d - 4. Let b(w) = -w**2 - 6*w - 5. Let r(l) = -6*b(l) + 7*f(l). Let r(o) = 0. Calculate o.
-1, 2
Let t be ((-34)/30 - -1)/(288/(-60)). Let w(x) be the second derivative of -t*x**4 + 0 + 0*x**3 - 3*x + 1/6*x**2. Factor w(f).
-(f - 1)*(f + 1)/3
Let q(g) = g + 10. Let a be q(-5). Suppose 2*m = -2*x + 1 + 13, a*x - 5*m = -15. Let 3 + 2*r - 1 - x*r**3 + 2*r**2 - 4 = 0. What is r?
-1, 1
Let k(u) be the third derivative of u**8/60480 - u**7/7560 - u**6/720 - 7*u**5/60 - 4*u**2. Let m(z) be the third derivative of k(z). Factor m(b).
(b - 3)*(b + 1)/3
Let v(l) be the first derivative of -l**4/8 + l**3/6 + l**2/4 - l/2 + 3. Let v(r) = 0. Calculate r.
-1, 1
Suppose 0*b - 2*b + 296 = 2*o, -434 = -3*b - o. Let i = b - 707/5. Factor -4/5*n**2 + 8/5*n**3 - 2*n + 2/5*n**5 + i*n**4 - 4/5.
2*(n - 1)*(n + 1)**3*(n + 2)/5
Let w be (4/14)/(30/14). Let c = 19/30 - w. Factor c*l**4 - 1/2*l + 3/2*l**2 - 3/2*l**3 + 0.
l*(l - 1)**3/2
Suppose 2*a + 15 = -3. Let g = a - -14. Factor 0 + 0*x + 14*x**4 + 8/3*x**2 - 98/3*x**g + 16*x**3.
-2*x**2*(x - 1)*(7*x + 2)**2/3
Suppose -3*n = -7*r + 3*r + 20, 3*n = -12. Factor 4*y**3 + r*y**2 + 1 - 1 + y**4 - y**3.
y**2*(y + 1)*(y + 2)
Let h(l) = -l**3 + 5*l + 4. Let c be h(-3). Let 3*p + 12*p - p - 2 - c*p**2 - 32*p**3 = 0. What is p?
-1, 1/4
Let s(p) = -3*p**3 - 9*p**2 + 9*p + 3. Let d(g) = -g**2 + g. Let m(t) = 18*d(t) - s(t). Let m(r) = 0. Calculate r.
1
Let q(o) = -3*o**3 - o**2 - 2. Let v(n) = n**3 + n**2 + 1. Let g(x) = -q(x) - 2*v(x). Solve g(i) = 0.
0, 1
Let i(o) be the third derivative of 0 - 3*o**2 + 0*o**3 + 1/60