/60480 - n**7/7560 - n**5/20 - 3*n**2. Let b(c) be the third derivative of q(c). Factor b(i).
i*(i - 1)*(i + 2)/3
Let d = 167/57120 - -1/544. Let p(k) be the third derivative of -1/735*k**7 - 2*k**2 - d*k**6 + 1/21*k**3 + 0 + 0*k + 0*k**5 + 1/42*k**4. Factor p(n).
-2*(n - 1)*(n + 1)**3/7
Let j(k) be the first derivative of -4*k**5/15 + k**4/3 + 4*k**3/3 - 2*k**2/3 - 8*k/3 - 11. Suppose j(y) = 0. Calculate y.
-1, 1, 2
Let y = 517/35 - 71/5. Factor -4/7*j**3 + 0*j**2 + 0 + y*j.
-4*j*(j - 1)*(j + 1)/7
Let -2/5*z**3 - 1/5*z**4 + 0*z**2 + 1/5 + 2/5*z = 0. What is z?
-1, 1
Let l = -29 - -43. Let q be l/4 + (-2)/4. Determine p, given that -6/5*p**4 + 4/5*p + 6/5*p**2 + 0 - 4/5*p**q = 0.
-1, -2/3, 0, 1
Suppose 6*f - 40 = 2*f. Let w be (-2)/f*(-4 + 0). Factor -2/5 - 2/5*s**2 + w*s.
-2*(s - 1)**2/5
Suppose 5*b - 11 = -4*p - 4, -35 = -5*p - b. Let l be (p/32)/(7/8). Let 1/7 - 2/7*c**3 + l*c + 0*c**2 - 1/7*c**4 = 0. Calculate c.
-1, 1
Suppose -2*l + 4*h = 9 - 1, 2*l = 3*h - 4. Factor -i**5 - i**l + 36*i - 36*i.
-i**4*(i + 1)
Let x(j) be the third derivative of j**6/120 - j**5/15 + j**4/12 - j**3 + 3*j**2. Let a be x(4). Factor 22*q - 5 + 4*q**2 - 13 + 2*q - 8*q**3 - a*q**4.
-2*(q - 1)**2*(q + 3)**2
Let f be -3 + 2 - 6/(-4). Let q be (-56)/16 + 0 + 4. Factor -q*n**3 + 0 - 1/2*n**4 + f*n + 1/2*n**2.
-n*(n - 1)*(n + 1)**2/2
Let k(r) be the third derivative of -19/300*r**6 + 0*r - 8*r**2 + 0 + 4/15*r**3 + 1/75*r**7 - 4/15*r**4 + 1/6*r**5 - 1/840*r**8. Factor k(j).
-2*(j - 2)**2*(j - 1)**3/5
Let h be 2/11 - 1178/6600. Let r(l) be the third derivative of 0*l + 1/600*l**6 + 0*l**3 + 0 + 0*l**4 + l**2 - h*l**5. Factor r(b).
b**2*(b - 1)/5
Factor 6/13*y - 6/13*y**2 + 2/13*y**3 - 2/13.
2*(y - 1)**3/13
Let o(p) = p**3 - 4*p**2 - p - 2. Let d(a) = -a**3 + 5*a**2 + a + 3. Let m(x) = 3*d(x) + 4*o(x). Factor m(u).
(u - 1)**2*(u + 1)
Let w be 1 - (6/3 - 4). Factor 20 - 20 + 3*g**w.
3*g**3
Let f(k) be the third derivative of -k**4/24 - k**3/2 + 8*k**2. Let b be f(-3). Factor 2/5*v**2 + b + 0*v.
2*v**2/5
Suppose -2*n - 3*g - g + 8 = 0, 5*g - 10 = 5*n. Solve 6/13*h**3 + 2/13*h**5 - 6/13*h**4 + n - 2/13*h**2 + 0*h = 0.
0, 1
Let q(g) = -10*g**5 + 13*g**4 - 10*g**3 - 7. Let v(i) = -5*i**3 - 3*i**5 - 2 + 4*i**3 - 2*i**3 + 4*i**4. Let k(p) = -6*q(p) + 21*v(p). What is r in k(r) = 0?
0, 1
Let f be ((-8)/4 - -3)*4. Factor 12*u**2 + f*u - 4*u**3 + u - u + 4*u**2 - 16*u**4.
-4*u*(u - 1)*(u + 1)*(4*u + 1)
Suppose 0 = 2*h + 3*l + 24, -2*h + l = 6*l + 32. Let z = h + 10. Determine i so that 4 - z*i**2 - 2*i - 6 + 8*i = 0.
1/2, 1
Let u(f) be the third derivative of -6*f**2 + 0*f**3 + 0*f**4 + 0*f + 1/525*f**7 + 1/150*f**6 + 1/150*f**5 + 0. Factor u(i).
2*i**2*(i + 1)**2/5
Factor -4*v**3 + 13*v**3 - 4*v - 10*v**3 + 4*v**2.
-v*(v - 2)**2
Factor 64*b**2 - 13*b**2 + 13 + 33*b**3 - 40 + 30*b**3 - 99*b + 12*b**4.
3*(b - 1)*(b + 3)**2*(4*b + 1)
Let y(j) = -7*j**2 + 9*j - 6. Let p(f) = -6*f**2 + 9*f - 5. Let u(k) = -6*p(k) + 5*y(k). Let t be u(9). Factor 3*q + t*q**3 + q**2 + q**3 + 4*q**2 + 1 - 2*q**2.
(q + 1)**3
Let w be (-42)/(-77) + 190/55. What is s in 0 + 1/2*s**w + 0*s + 0*s**2 - s**3 = 0?
0, 2
Suppose -1/4*k**2 + k - 3/4 = 0. Calculate k.
1, 3
Let j(t) = -t**3 - t**2 - 11*t. Let g(q) = -2*q. Let a(z) = 2*z - 2. Let x be a(2). Let p(y) = x*j(y) - 11*g(y). Determine d, given that p(d) = 0.
-1, 0
Let s = -12 - -14. Let i be 3/15 + (2 - s). Factor 0*a + 0*a**2 + 0 + 0*a**4 + 1/5*a**3 - i*a**5.
-a**3*(a - 1)*(a + 1)/5
Suppose -1 + g**2 - 1/2*g**3 + 1/2*g = 0. Calculate g.
-1, 1, 2
Let u(i) be the third derivative of -1/420*i**7 + 0*i**3 - 1/120*i**6 + 0 + 0*i + 0*i**4 - 2*i**2 - 1/120*i**5. Let u(n) = 0. What is n?
-1, 0
Let m(h) be the first derivative of -3/10*h**4 - 4 + 0*h + 2/15*h**3 + 0*h**2. Factor m(x).
-2*x**2*(3*x - 1)/5
Let s = -889 + 889. Let 0*g**4 - 1/2*g**3 + s*g**2 + 0 + 1/4*g**5 + 1/4*g = 0. Calculate g.
-1, 0, 1
Let s(t) be the third derivative of 3*t**7/280 - 7*t**6/120 + t**5/8 - t**4/8 + t**3/3 - 6*t**2. Let g(f) be the first derivative of s(f). Solve g(n) = 0.
1/3, 1
Let k(p) be the first derivative of 4*p**3/21 + 4*p**2/7 + 4*p/7 - 6. Suppose k(i) = 0. What is i?
-1
Factor -20/9*x**3 - 8/3*x + 0 + 68/9*x**2.
-4*x*(x - 3)*(5*x - 2)/9
What is j in -2/3 - 1/2*j**3 + 0*j + 7/6*j**2 = 0?
-2/3, 1, 2
Let w = 805/6 + -134. Suppose 1/6*a**4 + 1/3 - 1/2*a**2 + w*a - 1/6*a**3 = 0. What is a?
-1, 1, 2
Let l(w) = -4*w**5 - 3*w**4 - 13*w**3. Let c(r) = r**5 + r**4 + 4*r**3. Let p = 35 - 28. Let g(k) = p*c(k) + 2*l(k). Find j, given that g(j) = 0.
-1, 0, 2
Let g(q) be the second derivative of -1/21*q**3 + 1/105*q**6 - 1/147*q**7 + 1/35*q**5 - 1/21*q**4 + 0 - 5*q + 1/7*q**2. What is k in g(k) = 0?
-1, 1
Let x(f) be the second derivative of -f**4/66 - 2*f**3/33 - 2*f. Factor x(p).
-2*p*(p + 2)/11
Let u(w) be the third derivative of -1/210*w**6 + 0 + 0*w + 1/42*w**4 - 2/735*w**7 + 0*w**3 + 1/105*w**5 - 9*w**2. Factor u(k).
-4*k*(k - 1)*(k + 1)**2/7
Find j such that -j**4 + 39*j - 14*j + 4*j**3 - 12*j - 5*j**2 - 11*j = 0.
0, 1, 2
Let k(g) be the third derivative of g**6/480 - g**5/240 - 15*g**2. Factor k(m).
m**2*(m - 1)/4
Let y(g) be the first derivative of -2*g**5/25 - 2*g**4/5 - 4*g**3/5 - 4*g**2/5 - 2*g/5 - 6. Suppose y(q) = 0. Calculate q.
-1
Suppose -4*d + 16 = 4*s, 0*s + s - d = 0. Determine v so that 0 - 8/11*v**3 - 2/11*v**s + 6/11*v**4 + 4/11*v = 0.
-2/3, 0, 1
Let s(k) be the second derivative of 0*k**2 + 0*k**6 + k + 0 - 3/20*k**5 + 1/42*k**7 + 0*k**3 - 1/6*k**4. Suppose s(u) = 0. What is u?
-1, 0, 2
Factor 1/4*p**2 - 1/2*p**3 - 1/4*p**4 + 1/2*p + 0.
-p*(p - 1)*(p + 1)*(p + 2)/4
Let h = 1 + 1. Factor -4*y + 0*y**h + 0*y**2 - 2 - 2*y**2.
-2*(y + 1)**2
Let y(m) be the third derivative of 0*m - 1/21*m**3 + 1/105*m**5 - 1/735*m**7 + 0*m**4 + 0 - 4*m**2 + 0*m**6. Factor y(g).
-2*(g - 1)**2*(g + 1)**2/7
Let y(u) be the third derivative of u**8/55440 - u**7/9240 + u**6/3960 - u**5/20 + u**2. Let r(q) be the third derivative of y(q). Factor r(c).
2*(c - 1)*(2*c - 1)/11
Let q(v) be the first derivative of v**7/210 - v**6/40 + v**5/20 - v**4/24 - v**2/2 + 1. Let a(x) be the second derivative of q(x). Factor a(s).
s*(s - 1)**3
Let f(j) = -2*j**5 + 3*j**4 - 3*j**3 + 23*j**2 + 21*j + 4. Let y(d) = -d**5 + 2*d**4 - 2*d**3 + 12*d**2 + 11*d + 2. Let r(h) = -4*f(h) + 7*y(h). Factor r(s).
(s - 2)*(s + 1)**4
Factor -3/5*l + 6/5 + 3/5*l**3 + 3/5*l**4 - 9/5*l**2.
3*(l - 1)**2*(l + 1)*(l + 2)/5
Let p(b) = -b**3 + 3*b**2 + 3. Let y be p(3). Let n be y*(-3)/(162/(-4)). Factor -2/9*i**3 + 0 + 0*i - n*i**2.
-2*i**2*(i + 1)/9
Let k be 11/(-3)*3090/5. Let l = -20354/9 - k. Solve l*y - 52/9*y**2 + 14/9*y**3 + 16/9 = 0.
-2/7, 2
Find l such that 79*l**2 - 16*l - 33*l**2 - 30*l**2 + 4 = 0.
1/2
Let l(f) be the second derivative of -f**7/420 + f**6/120 - f**5/120 - 4*f**2 - 4*f. Let i(u) be the first derivative of l(u). Let i(w) = 0. What is w?
0, 1
Factor -10*y**3 + 5*y**3 + 60*y**2 + 4*y**4 - 36*y - 23*y**3.
4*y*(y - 3)**2*(y - 1)
Let k(q) be the first derivative of 2*q**5/55 - q**4/11 - 16*q**3/33 - 13. Factor k(r).
2*r**2*(r - 4)*(r + 2)/11
Factor 4*j**4 + 4*j + 19*j**2 + 7*j**3 + 8*j**3 - 7*j**2 - 3*j**3.
4*j*(j + 1)**3
Let h(m) be the first derivative of -m**6/6 + 2*m**5/5 + m**4/4 - 2*m**3/3 + 54. Find x, given that h(x) = 0.
-1, 0, 1, 2
Let x(n) = -2*n**3 - 2*n**2 - 6*n - 6. Let s(c) = -4*c**3 - 3*c**2 - 12*c - 13. Let f(k) = -4*s(k) + 9*x(k). Suppose f(r) = 0. Calculate r.
-1
Let l be (-10)/45 - (-1)/(18/4). Let l*t + 1/6*t**2 - 1/6 = 0. Calculate t.
-1, 1
Let o(x) be the second derivative of -x**5/4 + 95*x**4/12 - 175*x**3/6 + 85*x**2/2 - 70*x. Determine z so that o(z) = 0.
1, 17
Let q(o) be the second derivative of -o**7/126 - o**6/45 + o**5/60 + o**4/18 + 25*o - 1. Let q(r) = 0. Calculate r.
-2, -1, 0, 1
Suppose -3*g = -2 - 4. Suppose 0 = -44*h + 39*h + 10. Determine z, given that 10/3*z**g - h*z**4 + 2/3*z - 2/3*z**3 - 4/3 = 0.
-1, 2/3, 1
Let b(s) be the second derivative of -s**5/170 + 5*s**4/34 - 25*s**3/17 + 125*s**2/17 - 30*s. Suppose b(m) = 0. Calculate m.
5
Let r = 37/2 - 17. Factor 0*a**2 + 0 + r*a**4 + 1/2*a**3 + 0*a.
a**3*(3*a + 1)/2
Factor 2/11*d**3 + 2/11*d**2 + 0 - 4/11*d.
2*d*(d - 1)*(d + 2)/11
Factor 0*g**3 + 0*g - 3/4*g**5 + 0 + 0*g**2 - 3/4*g**4.
-3*g**4*(g + 1)/4
Factor 0*c +