0 - 50/9*z**4 - 32/9*z - 80/3*z**3 - h*z**2 = 0. Calculate z.
-4, -2/5, 0
Suppose -49*p = -52*p + 12. Let q(g) be the third derivative of 0 + 1/20*g**5 + 0*g + 1/8*g**p + 0*g**3 - 4*g**2. Factor q(v).
3*v*(v + 1)
Let p(r) be the first derivative of 2*r**3/21 - 52*r**2/7 + 1352*r/7 + 24. Solve p(z) = 0.
26
Let i(w) = 3*w**3 + 3*w**2 + 2*w + 2. Let d(g) = -10*g**3 - 9*g**2 - 6*g - 7. Let h(k) = -2*d(k) - 7*i(k). Factor h(f).
-f*(f + 1)*(f + 2)
Let v(c) = -c**2 - 70*c - 1441. Let q(y) = -y**2 - 72*y - 1442. Let n(z) = 6*q(z) - 4*v(z). Factor n(j).
-2*(j + 38)**2
Suppose 0 = 4*s - 3*f - 12, 4 = 4*s + 3*f - 8. Let 1629*n**3 + 35*n**5 + 5*n**2 + 3 - 3 + 95*n**4 - 1554*n**s - 10*n = 0. What is n?
-1, 0, 2/7
Let f(h) be the second derivative of 13*h + 1/10*h**3 + 0 + 1/60*h**4 + 1/5*h**2. Factor f(k).
(k + 1)*(k + 2)/5
Suppose 7*x - 12*x + 20 = 0. What is n in 1195 + 18*n + 2*n**x - 2*n**3 + 14*n**2 - 16*n**3 - 1211 = 0?
-1, 1, 8
Suppose 9 + 47 = 3*v - 2*m, 5*m = -20. Let p be ((-25)/(-40))/(4/v) + -1. Factor 0 + p*g**3 - g**2 + 0*g - 1/2*g**4.
-g**2*(g - 2)*(g - 1)/2
Factor 675/7*l**2 + 51/7*l**3 + 1/7*l**4 + 0 + 625/7*l.
l*(l + 1)*(l + 25)**2/7
Let t(b) be the third derivative of b**5/330 + 5*b**4/44 + 26*b**3/33 + 621*b**2. Factor t(o).
2*(o + 2)*(o + 13)/11
Suppose -234/7*u - 13689/7 - 1/7*u**2 = 0. Calculate u.
-117
Let q(a) be the third derivative of a**7/6720 + a**6/960 - a**5/240 - 5*a**3/3 + 6*a**2. Let w(x) be the first derivative of q(x). Factor w(r).
r*(r - 1)*(r + 4)/8
Let i(w) = -w**3 - w - 1. Let u(g) = -4*g**3 - 44*g**2 - 528*g - 885. Let x(d) = 12*i(d) - 4*u(d). Suppose x(a) = 0. Calculate a.
-21, -2
Let w(o) be the third derivative of -o**8/26880 + o**7/1344 - o**6/240 - 13*o**5/60 - 5*o**2. Let d(y) be the third derivative of w(y). Factor d(u).
-3*(u - 4)*(u - 1)/4
Let o be (2/(-6))/((-6)/(-18)). Let d be (-1)/((-3)/(-6) + o). What is i in 2*i - i**2 + i**2 - i**d + 2*i**2 = 0?
-2, 0
Suppose 2*a - 8*a = 12. Let x be a + 4 + (-4)/(16/(-4)). Suppose -74/7*p**2 - 8/7 - 18/7*p**4 - 40/7*p - 60/7*p**x = 0. Calculate p.
-1, -2/3
Let u(p) be the first derivative of -p**6/20 - 3*p**5/20 - p**4/8 - 32*p - 27. Let k(o) be the first derivative of u(o). Solve k(v) = 0 for v.
-1, 0
What is c in -219460*c - 2 + 2*c**2 + 219470*c + 2 = 0?
-5, 0
Let w be (-6410)/7560 - 6/(-7). Let q(c) be the third derivative of -1/135*c**5 + 2/27*c**3 - 1/540*c**6 + 0 + w*c**4 + 0*c - 2*c**2. Factor q(o).
-2*(o - 1)*(o + 1)*(o + 2)/9
Let a(y) = y**3 + y**2 + y. Let p(x) = -8*x**3 - 4*x**2 + 4*x + 6. Let o(k) = -6*a(k) - p(k). Factor o(u).
2*(u - 3)*(u + 1)**2
Suppose 0 = 6*o + 7 - 19. Suppose t - o*t = -2. What is n in 6/7*n**t + 2/7*n**3 + 6/7*n + 2/7 = 0?
-1
Let x(m) = 5*m**2 + 206*m - 199. Let j(u) = 135*u**2 + 5565*u - 5370. Let d(w) = 2*j(w) - 55*x(w). Determine q so that d(q) = 0.
-41, 1
Factor -3*q - 7/4*q**3 - 4*q**2 + 0 - 1/4*q**4.
-q*(q + 2)**2*(q + 3)/4
Let h(s) be the second derivative of -s**4/96 + 11*s**3/48 + 21*s**2/8 - 103*s. Solve h(b) = 0.
-3, 14
Let f(k) be the second derivative of k**4/2 - k**2/2 - 2*k. Let r be f(1). Factor -4*m**4 - 3*m**2 - 3*m**3 + m**r + 4*m + 7*m**2 + 2*m**4.
m*(m - 2)**2*(m + 1)**2
Let u(i) = -32*i**2 + 50*i + 36. Let m(x) = 96*x**2 - 152*x - 108. Let h(n) = 3*m(n) + 8*u(n). Determine k so that h(k) = 0.
-1/2, 9/4
Let q(l) be the second derivative of -l**7/210 - l**6/60 - l**5/60 - l**2 + 9*l. Let u(r) be the first derivative of q(r). Find s, given that u(s) = 0.
-1, 0
Let w be 230/15 - 4/3. Factor 4*z - 10*z + 8 + 2 - w - 2*z**2.
-2*(z + 1)*(z + 2)
Let z be 1 - 2/(1*-4)*6. Let r be (-4)/6 - ((-276)/(-126) - z). Factor 8/7 + 2/7*j**2 - r*j.
2*(j - 2)**2/7
Let u(g) be the first derivative of g**4 + 24*g**3 - 38*g**2 - 467. Let u(o) = 0. What is o?
-19, 0, 1
Factor 68/11*s - 578/11 - 2/11*s**2.
-2*(s - 17)**2/11
Let p(y) be the third derivative of y**6/900 + y**5/50 + 3*y**4/20 + 7*y**3/6 + 25*y**2. Let g(q) be the first derivative of p(q). Factor g(h).
2*(h + 3)**2/5
Let f(b) be the first derivative of b**7/210 + b**6/120 - b**5/30 - 7*b**2/2 - 22. Let u(h) be the second derivative of f(h). Let u(n) = 0. What is n?
-2, 0, 1
Factor 20 - 35*a**3 - 65*a + 68*a**4 - 125*a**4 + 75*a**2 + 62*a**4.
5*(a - 4)*(a - 1)**3
Find m, given that 2 - 286238*m**2 - 2 - 88*m + 286234*m**2 = 0.
-22, 0
Let b be (12/(-10))/((-6)/80). Suppose -y + 5*k = -0*k + b, -12 = -2*y - k. Factor 0 - 3/5*f**y + 3*f**3 + 12/5*f - 24/5*f**2.
-3*f*(f - 2)**2*(f - 1)/5
Let m(f) be the second derivative of -f**7/11340 + f**4/4 + 6*f. Let s(d) be the third derivative of m(d). Factor s(l).
-2*l**2/9
Let l(d) be the third derivative of -d**5/480 - d**4/64 + 59*d**2. Factor l(h).
-h*(h + 3)/8
Let g = 43 - 40. Suppose -5*o = -4*z - 15, g*o + 0*z = 5*z + 9. Suppose 12 - 4*a**2 - 4*a + 4*a**o - 12 + 4*a**4 = 0. Calculate a.
-1, 0, 1
Let x(k) be the second derivative of 0*k**3 + 2*k - 1/120*k**5 + 0*k**2 + 0 - 1/252*k**7 + 0*k**4 - 1/90*k**6. Factor x(h).
-h**3*(h + 1)**2/6
Let p(r) = -r**3 - r**2 - r - 1. Let v(o) = -32*o**3 + 16*o**2 + 4*o - 4. Let u(q) = 4*p(q) - v(q). Let u(j) = 0. Calculate j.
-2/7, 0, 1
Let u(l) = -10*l**3 - 34*l**2 - 12*l. Let w(b) = -12*b**3 - 33*b**2 - 11*b. Let y(i) = -5*u(i) + 6*w(i). Suppose y(f) = 0. What is f?
-1, -3/11, 0
Let m(k) = 2*k - 1. Let b be m(-13). Let p be b/(-18) + -2 + (-13)/(-14). Factor p*f**4 + 0 + 1/7*f - 3/7*f**2 - 1/7*f**3.
f*(f - 1)*(f + 1)*(3*f - 1)/7
Let z = 4/13171 - -158008/144881. Factor -z*m**2 + 0 - 14/11*m**3 - 2/11*m**4 + 0*m.
-2*m**2*(m + 1)*(m + 6)/11
Let w be (0 + 2/(-6))/((-12)/(-192)*-2). Solve 2/9*f**4 - 16/9 + 2/3*f**3 - w*f - 4/9*f**2 = 0 for f.
-2, -1, 2
Let m(i) = -168*i**4 - 104*i**3 - 25*i**2 - 9. Let g = -28 + 26. Let j(c) = 42*c**4 + 26*c**3 + 6*c**2 + 2. Let h(o) = g*m(o) - 9*j(o). Factor h(d).
-2*d**2*(3*d + 1)*(7*d + 2)
Let l = -54 + 57. Factor -6*a**2 + 3*a**l - 388*a - 6*a**3 + 412*a.
-3*a*(a - 2)*(a + 4)
Let m(t) = -20*t**3 - 32*t**2 + 37*t + 15. Let o(j) = 7*j**3 + 11*j**2 - 13*j - 5. Let k(x) = -6*m(x) - 17*o(x). Solve k(r) = 0 for r.
-5, -1, 1
Let d(a) be the first derivative of -3*a**4/16 + a**3/4 + 9*a**2/4 + 386. Factor d(j).
-3*j*(j - 3)*(j + 2)/4
Suppose -5*u = v - 6, -2*v = 4*u - 5*v - 20. Suppose n + 1 = 3. Factor 3*s**n - u*s**2 + 3*s**2 - 2*s**3.
-2*s**2*(s - 2)
Let n(y) = y**4 - 2*y**3 + 2*y**2 - 2*y + 1. Let z(f) = -47*f**4 - 186*f**3 - 179*f**2 - 26*f - 2. Let g(d) = 2*n(d) + z(d). Factor g(w).
-5*w*(w + 1)*(w + 3)*(9*w + 2)
Factor 10*u**2 + 26 - 15*u + 13*u**2 + 10*u**2 + 14*u**2 - 46*u**2.
(u - 13)*(u - 2)
Let w(v) be the second derivative of v**4/12 - v**3/6 - 6*v**2 - 149*v. Factor w(x).
(x - 4)*(x + 3)
Solve -7*y - 156*y**2 - y - 4*y**4 + 84*y**2 + 84*y**2 = 0 for y.
-2, 0, 1
Let z be (-1738)/(-660) - (13/(-6) - -2). Determine l, given that -8*l + 52/5*l**2 - z*l**3 - 16/5 = 0.
-2/7, 2
Solve -3/5*z**2 + 72/5 + 6*z = 0.
-2, 12
Suppose -3*m + 4*x - 8 = -8*m, -5*x + 10 = m. Let u(v) be the second derivative of 1/90*v**6 + 0*v**2 - 1/18*v**3 + 1/72*v**4 + v + 1/24*v**5 + m. Factor u(j).
j*(j + 1)*(j + 2)*(2*j - 1)/6
Let k = 329 + -327. Let g(o) be the first derivative of 1/4*o + 1/4*o**k + 1/12*o**3 - 1. Factor g(i).
(i + 1)**2/4
Find h such that 4299*h**2 - 2197*h**2 + 4 + 1 + 34878*h**2 - 860*h = 0.
1/86
Let d(s) = -60*s - 600. Let t be d(-10). Let n be ((-12)/(-10))/(4/10). Determine f so that -2/5*f**4 + 2/5*f**n + 0*f + t*f**2 + 0 = 0.
0, 1
Let a(h) be the third derivative of 0 + 1/840*h**6 - 30*h**2 + 0*h**3 + 0*h - 4/105*h**5 + 8/21*h**4. Determine q so that a(q) = 0.
0, 8
Let y(w) be the first derivative of 3*w**5/5 + 9*w**4/4 + 3*w**3 + 3*w**2/2 + 41. Factor y(k).
3*k*(k + 1)**3
Let k(u) be the second derivative of u**6/120 - 3*u**5/10 + 37*u**4/12 - 14*u**3 + 32*u**2 + 2*u + 18. Factor k(f).
(f - 16)*(f - 4)*(f - 2)**2/4
Factor -153*g - 120/7*g**2 + 378 - 3/7*g**3.
-3*(g - 2)*(g + 21)**2/7
Let t(s) be the third derivative of s**10/75600 + s**9/10080 + s**8/5040 + 2*s**5/15 - 8*s**2. Let h(x) be the third derivative of t(x). Factor h(b).
2*b**2*(b + 1)*(b + 2)
Let c(l) be the first derivative of l**3/2 + 33*l**2/2 + 63*l/2 - 151. Determine n, given that c(n) = 0.
-21, -1
Let n(j) be the third derivative of 1/1176*j**8 - 1/21*j**3 - 24*j**2 + 1/105*j**5 - 1/