5*n - 2/5*n**4 = 0.
-2, 1
Let t be (13/((-78)/12) - -2)*(-4)/(-8). Solve t - n**2 - 1/3*n**3 + 4/3*n = 0.
-4, 0, 1
Let t(r) be the third derivative of 0*r**4 - 11*r**2 + 1/15*r**5 + 0*r - 1/30*r**6 + 0 + 0*r**3. Let t(w) = 0. Calculate w.
0, 1
Suppose 15*a - 46*a + 155 = 0. Let k(h) be the third derivative of 0 + 4/15*h**3 - 1/75*h**a + 0*h - 1/30*h**4 - 10*h**2. Let k(j) = 0. Calculate j.
-2, 1
Let x(s) be the second derivative of 0*s**2 + 12*s + 0 + 0*s**6 + 1/10*s**5 - 1/6*s**3 + 0*s**4 - 1/42*s**7. Let x(p) = 0. What is p?
-1, 0, 1
Factor -4/7*j**2 - 64/7 - 68/7*j.
-4*(j + 1)*(j + 16)/7
Let t(x) be the third derivative of x**6/420 - x**5/210 - 6*x**2 + 28*x. Solve t(d) = 0 for d.
0, 1
Suppose 0*k + 80/13*k**2 + 0 - 204/13*k**3 + 10/13*k**4 = 0. What is k?
0, 2/5, 20
Let c be (-5)/(85/(-68)*2). Factor -2/11*j**5 + 10/11*j**4 + 14/11*j**c - 4/11*j + 0 - 18/11*j**3.
-2*j*(j - 2)*(j - 1)**3/11
Let j be (34/(-51))/(20/(-9)). Let h(l) be the first derivative of -j*l**4 - 4/25*l**5 + 1 - 1/30*l**6 - 4/15*l**3 + 0*l - 1/10*l**2. Factor h(k).
-k*(k + 1)**4/5
Suppose 5*m = 2*f + 624, 3*f = 2 + 7. Let -m*o**2 + 46*o**3 - 80*o**4 - 4 + 187*o**3 + 38*o - 61*o**3 = 0. Calculate o.
1/4, 2/5, 1/2, 1
Let o(w) be the second derivative of w**6/150 - 13*w**5/75 + 8*w**4/5 - 24*w**3/5 + 12*w**2 - 15*w. Let b(h) be the first derivative of o(h). Factor b(t).
4*(t - 6)**2*(t - 1)/5
Let m(a) be the second derivative of -2*a**6 - 31*a**5/5 - 17*a**4/3 - 2*a**3/3 - 514*a. Factor m(o).
-4*o*(o + 1)**2*(15*o + 1)
Let k(r) be the third derivative of -r**6/180 - r**5/30 + r**4/9 + 4*r**3/3 - 60*r**2 - r. Factor k(l).
-2*(l - 2)*(l + 2)*(l + 3)/3
Let h be 12*-1*(28/8)/(-7). Factor -186 - 211 + 15*u + 379 - 3*u**3 + h*u**2.
-3*(u - 3)*(u - 1)*(u + 2)
Let -381/5*k + 0 + 3/5*k**2 = 0. What is k?
0, 127
Let h = 0 + 2. Let -4*r**3 + 2 - 13*r - 4*r + 16*r**h + 6 - 3*r = 0. What is r?
1, 2
Let i(j) be the second derivative of j**6/20 - 27*j**5/20 + 69*j**4/8 - 13*j**3 + 5*j + 23. Find m such that i(m) = 0.
0, 1, 4, 13
Let s(p) be the second derivative of p**7/21 + 32*p**6/15 - 124*p. Factor s(r).
2*r**4*(r + 32)
Let w(u) = 68*u**4 + 802*u**3 - 716*u**2 + 98*u - 2. Let n(i) = -66*i**4 - 801*i**3 + 718*i**2 - 99*i + 3. Let j(a) = 2*n(a) + 3*w(a). What is o in j(o) = 0?
-12, 0, 1/6, 2/3
Factor 32*o + 10 + 128/5*o**2.
2*(8*o + 5)**2/5
Suppose u - 18 + 19 = 0. Let o(p) = -20*p**2 + 48*p - 80. Let m(i) = i**2 - i + 1. Let b(y) = u*o(y) - 16*m(y). Factor b(r).
4*(r - 4)**2
Let o = -4944 - -4945. Factor -g + 3/4*g**2 - o.
(g - 2)*(3*g + 2)/4
Suppose l - 1 = -2. Let g be 1/(l*3/(-6)). What is j in g - 3 + 1 - 2*j**2 - 2*j**3 = 0?
-1, 0
Factor 2/9*y**3 + 32/9*y + 0 + 16/9*y**2.
2*y*(y + 4)**2/9
Factor -1/2*n**3 - 1/3*n**2 + 0*n**4 + 0 + 1/6*n**5 + 0*n.
n**2*(n - 2)*(n + 1)**2/6
Let i(m) = m**2 - 13*m - 6. Let r be i(14). Suppose -3*h - 8*u + 7*u + r = 0, -4 = -4*h + 2*u. Factor 1/6*c**h + 0*c - 1/6.
(c - 1)*(c + 1)/6
Let g = 1011 - 1011. Let b(z) be the first derivative of g*z - 8*z**6 - 6*z**3 - 6 - 3/2*z**2 + 72/5*z**5 - 3/4*z**4. Factor b(f).
-3*f*(f - 1)**2*(4*f + 1)**2
Suppose -1286*t = -1273*t + 11 - 50. Factor y + 3 - 5/3*y**2 + 1/3*y**t.
(y - 3)**2*(y + 1)/3
Let k(r) be the first derivative of -4/21*r**3 + 55 - 12/35*r**5 + 11/14*r**4 + 16/7*r + 1/21*r**6 - 12/7*r**2. Factor k(s).
2*(s - 2)**3*(s - 1)*(s + 1)/7
Let h be (-2)/(-8) - 7/(-4). Suppose -4*n + 6 = -2*x - h*n, -n + 1 = -2*x. Factor 20*s - 8*s - 2*s**3 + 6*s**3 + 8*s**x - 8*s.
4*s*(s + 1)**2
Suppose 5*i = -2*z + 101, i - 2*i = z - 49. Find h, given that -11*h + 36*h - z*h**3 + 24*h**2 - 4*h + 3 = 0.
-1/4, 1
Let w(u) be the first derivative of 3*u**4/4 + 26*u**3 + 69*u**2/2 - 150*u + 270. Suppose w(r) = 0. What is r?
-25, -2, 1
Let n(z) be the second derivative of -1/1800*z**6 + 0 + 0*z**5 + 0*z**4 + 0*z**2 + z**3 + z. Let s(y) be the second derivative of n(y). Factor s(x).
-x**2/5
What is y in 0 + 0*y + 324/7*y**2 - 414/7*y**3 - 6/7*y**5 - 104/7*y**4 = 0?
-9, 0, 2/3
Suppose -20*c + 215 - 55 = 60*c. Suppose 1 + 1/4*s - s**c - 1/4*s**3 = 0. What is s?
-4, -1, 1
Let k(s) be the first derivative of -2*s**3/21 + 32*s**2/7 + 136*s/7 - 681. Factor k(l).
-2*(l - 34)*(l + 2)/7
Factor -19/3*u**3 - 17*u**2 - 1/3*u**4 - 16/3 - 49/3*u.
-(u + 1)**3*(u + 16)/3
Solve -6*k**3 + 144/5 + 24*k + 0*k**4 - 4*k**2 + 2/5*k**5 = 0.
-2, 3
Let o(w) = w - 1. Suppose 7*z + 60 = 2*z. Let q(t) = 2*t**2 - 16*t + 14. Let i = 41 - 42. Let n(u) = i*q(u) + z*o(u). Factor n(g).
-2*(g - 1)**2
Suppose 32*p = 65*p. Find z such that 3/7*z**2 - 3/7*z + p = 0.
0, 1
Suppose -333*o + 60 = -334*o. Let f = o + 62. Factor -5/4*h - 1/4*h**f - 1.
-(h + 1)*(h + 4)/4
Let f = -307869/170 + 1811. Let n(m) be the second derivative of f*m**5 + 1/102*m**4 + 3*m + 0*m**3 + 0*m**2 + 0. Factor n(q).
2*q**2*(q + 1)/17
Suppose 0*a = -2*a + 2, 3*d - a = 14. Suppose 8*f = 7*f + d. Solve -15*b + 9*b - 3*b**2 - 2*b**4 + 5*b**3 + f*b + 1 = 0.
-1/2, 1
Let x(r) = 11*r**4 - 39*r**3 - 38*r**2 + 18*r + 3. Let j(v) = 21*v**4 - 79*v**3 - 76*v**2 + 34*v + 5. Let u(m) = -6*j(m) + 10*x(m). Factor u(a).
-4*a*(a - 6)*(a + 1)*(4*a - 1)
Let d(v) = -v**2 - 3. Let a(o) = 2*o**2 - 75*o - 89. Let n(h) = a(h) - 3*d(h). Factor n(z).
5*(z - 16)*(z + 1)
Suppose -2*i - 4*v + 38 = 0, -2*v = -4*i - 7*v + 61. Factor -3*g**3 + 2*g**5 - 3*g + i*g**3 - 3*g**5 - 2*g**5.
-3*g*(g - 1)**2*(g + 1)**2
Let o(c) = 26*c**2 + 342*c - 216. Let s(b) = 51*b**2 + 685*b - 432. Let l(u) = 11*o(u) - 6*s(u). Suppose l(m) = 0. Calculate m.
-18, 3/5
Let j = -28 - -35. Let d(g) be the second derivative of -1/5*g**4 + 0*g**3 + 0*g**2 + 0 - 3/100*g**5 + j*g. Factor d(b).
-3*b**2*(b + 4)/5
Let l = -7721 - -7724. Factor -12/7*g**2 + 16/7 + 8/7*g - 2/7*g**4 - 10/7*g**l.
-2*(g - 1)*(g + 2)**3/7
Let h(m) be the third derivative of 0*m + 1/45*m**5 + 1/6*m**3 + 7/72*m**4 - m**2 + 0. Factor h(r).
(r + 1)*(4*r + 3)/3
Let p(w) be the third derivative of -w**5/240 + 41*w**4/96 - 50*w**2. Solve p(i) = 0 for i.
0, 41
Let t(a) be the first derivative of -a**5/42 + 11*a**4/42 - 8*a**3/21 - 10*a**2 - 33. Let q(j) be the second derivative of t(j). Factor q(u).
-2*(u - 4)*(5*u - 2)/7
Factor 41*d**2 + 16*d**4 - 90*d**3 + 15*d**4 - 5*d**5 + 39*d**2 - 29*d + 4*d + 9*d**4.
-5*d*(d - 5)*(d - 1)**3
Let d(v) = 3*v**4 - 3*v**3 - 12*v**2 - 2*v - 2. Let x(s) = -13*s**4 + 13*s**3 + 49*s**2 + 5*s + 9. Let u(q) = -18*d(q) - 4*x(q). Factor u(b).
-2*b*(b - 4)*(b + 1)*(b + 2)
Suppose -x = -2*x + 50. Let y = x + -45. Let -3/2*n**4 - 9/2*n**y + 0*n + 0 + n**3 + 0*n**2 = 0. Calculate n.
-2/3, 0, 1/3
Let m = -211 - -211. Let a(r) be the second derivative of r - 1/12*r**4 + 0*r**3 + m*r**2 + 0. Factor a(l).
-l**2
Factor 4 - 14*w - 27*w**3 - 27*w**3 + 14*w**2 + 68*w**3 - 18*w**3.
-2*(w - 2)*(w - 1)*(2*w - 1)
Let y be 2260/(-339)*2/(-5). Find m such that -y - 2*m + 2/3*m**2 = 0.
-1, 4
Factor 26 - 4*x**2 + 14 + 1995*x - 2031*x.
-4*(x - 1)*(x + 10)
Let i(v) = -13*v**3 + 129*v**2 + 11*v - 8. Let d be i(10). Suppose 5/2 + 55/6*k - 10/3*k**d = 0. What is k?
-1/4, 3
Factor 21/4*y**2 - y**3 - y - 1/4*y**4 - 7.
-(y - 2)**2*(y + 1)*(y + 7)/4
Let s = 1123 + -1123. Let y(x) be the first derivative of -3/16*x**4 + 3/40*x**5 + 5 - 3/8*x + 3/8*x**2 + s*x**3. Factor y(z).
3*(z - 1)**3*(z + 1)/8
Solve 2*j**2 + 12 + 1387*j**3 + 6*j**2 - 1389*j**3 + 22*j = 0.
-1, 6
Let c(b) be the second derivative of 0 + 1/300*b**5 + 1/30*b**4 + 2/15*b**3 - 6*b - b**2. Let m(i) be the first derivative of c(i). Factor m(x).
(x + 2)**2/5
Let b be (2/(-3))/(4/6). Let n be (8/(-12) - b)*291. Let n*q**2 + 16*q**4 + 4 + 5*q + 72*q**3 + 9*q + 22*q + 0*q = 0. Calculate q.
-2, -1/4
Let c(b) be the second derivative of b**5/40 - 7*b**4/24 + 11*b**3/12 - 5*b**2/4 - 2*b - 21. Factor c(g).
(g - 5)*(g - 1)**2/2
Let l(x) be the second derivative of -x**6/30 - 17*x**5/20 - 61*x**4/12 + 39*x**3/2 + 81*x**2 + 4*x + 3. Factor l(m).
-(m - 2)*(m + 1)*(m + 9)**2
Let c(o) be the third derivative of -1/72*o**6 - 12*o**2 + 0 - 7/72*o**4 - 1/18*o**3 - 11/180*o**5 + 0*o. Let c(m) = 0. Calculate m.
-1, -1/5
Let i be 5 + (0 - (6 + -55)). Suppose -3*f + i = 42. Factor -2/15*v - 2/15*v**f + 2/15*v**2 + 2/15*v**3 + 0.
-2*v*(v - 1)**2*(v + 1)/15
Let o(c) be the first derivative of 2/3*c**3 - 4*c**2 + 8*c - 38. Solve o(u) = 0 for u.
2
Let 