427)/(-189)*(-6)/(-10). Let o = 14/9 - f. Solve 0*x**3 + 0*x + 1/5*x**2 + 0 - o*x**4 = 0 for x.
-1, 0, 1
Suppose 2 + 8 = 5*x. Let k be (14/210 + (-2)/30)*(3 - 2). What is w in 0 - 2/5*w**3 + k*w**x + 2/5*w = 0?
-1, 0, 1
Let g(p) be the first derivative of p**6/150 + 2*p**5/75 + p**4/30 + 2*p**2 - 12. Let x(l) be the second derivative of g(l). Solve x(b) = 0.
-1, 0
Let q(y) be the third derivative of y**5/480 - 5*y**4/192 + y**3/8 - 44*y**2. What is l in q(l) = 0?
2, 3
Let c(l) be the third derivative of 0 - 4*l**3 - 1/2*l**4 - 6*l**2 + 0*l - 1/40*l**5. Solve c(n) = 0 for n.
-4
Factor -26*r - r**2 - r**2 + 1394 - 1438.
-2*(r + 2)*(r + 11)
Solve -1/4*v**3 - 8*v + 0 + 9/2*v**2 = 0 for v.
0, 2, 16
Suppose -4*m + 2*m + 3*w = 5, 13 = -m + 5*w. Let -m*k**4 - 7*k**4 + 3*k**3 - k**5 + 8*k**4 + k**2 - 2*k = 0. Calculate k.
-2, -1, 0, 1
Let j(s) be the third derivative of -s**9/514080 - s**8/171360 + s**7/21420 + s**5/6 - 4*s**2. Let t(m) be the third derivative of j(m). Factor t(l).
-2*l*(l - 1)*(l + 2)/17
Suppose -141*z - 64 = -173*z. Determine t so that 0*t - 3/5*t**4 + 0*t**3 + 3/5*t**z + 0 = 0.
-1, 0, 1
Let p be 4/(-2) + 3 - -3. Let v(o) = -7*o**4 - 3*o**3 - o**2 - o. Let b(r) = -15*r**4 - 6*r**3 - 3*r**2 - 3*r. Let t(d) = p*b(d) - 9*v(d). Solve t(z) = 0 for z.
-1, 0, 1
Let l = -37 + 59. Suppose -12*z + l = -z. Find p, given that -3/2*p - 1/4*p**z - 9/4 = 0.
-3
Let b(x) = -4*x - 3. Let v be b(-2). Factor 22*k**2 - v - 24*k**2 + 13.
-2*(k - 2)*(k + 2)
Solve 106*f**2 - 246*f**3 - 306 + 261*f + 120*f**3 + 128*f**3 - 63*f = 0 for f.
-51, -3, 1
Let c(k) = 3*k + 65. Let h be c(-21). Let p be (-6)/(76/(-36) - -1). Factor -p*v**h + 3/5*v**3 + 81/5*v - 81/5.
3*(v - 3)**3/5
Suppose -10/3 + 1/3*f + 10/3*f**2 - 1/3*f**3 = 0. Calculate f.
-1, 1, 10
Let w(b) be the third derivative of 23*b**7/42 + 2*b**6 + 9*b**5/4 + 5*b**4/12 + 2*b**2 - 5*b. Factor w(c).
5*c*(c + 1)**2*(23*c + 2)
Let p(v) be the third derivative of -5/3*v**3 + 0 - 25/48*v**4 + 16*v**2 - 1/24*v**5 + 0*v. Factor p(a).
-5*(a + 1)*(a + 4)/2
Suppose -64 = 4*g - 4*c, 2*g + 2*c = 3*g + 21. Let l be 130/11 + (-2)/g. Solve -12 + 4*t + l*t**2 - 11 - t**3 + 15 - 4*t**4 - 3*t**3 = 0.
-2, -1, 1
Let l(t) = t**2 - 2*t + 2. Let o be l(2). Let z = 0 + o. Factor -3*g + z*g**3 + 2*g + 0*g**3 + 2*g**2 - 3*g**3.
-g*(g - 1)**2
Let d(s) be the first derivative of -s**7/42 - s**6/15 + s**5/20 + s**4/6 - 30*s - 21. Let j(x) be the first derivative of d(x). Factor j(q).
-q**2*(q - 1)*(q + 1)*(q + 2)
Let i be (6/(-2))/((-9)/6). Factor 10*y + 10*y**2 - 14*y**i - 2*y.
-4*y*(y - 2)
Let z(b) be the first derivative of -4*b**3/3 - 2*b**2 + 80*b - 194. Determine t so that z(t) = 0.
-5, 4
Let q(c) = 15*c**3 + c**2 - 1. Let k be q(1). Suppose 9*x - k*x + 5*x - x**2 = 0. Calculate x.
-1, 0
Let o(v) be the first derivative of -5/16*v**4 + 21 + 5/12*v**3 + 5/8*v**2 - 5/4*v. Let o(y) = 0. What is y?
-1, 1
What is a in -125/3*a**3 + 140/3*a + 10/3*a**5 - 100/3*a**2 - 5/3*a**4 + 80/3 = 0?
-2, -1/2, 1, 4
Suppose -2*a = -5*p + 65, -5*a + 15 - 5 = -p. Suppose -p = 5*h, 6*d - d - 16 = 2*h. Factor 2/3*x + 4/3 - 2/3*x**d.
-2*(x - 2)*(x + 1)/3
Let h = -4654 - -13964/3. Factor 2/3 - b**3 - h*b**2 + b.
-(b - 1)*(b + 1)*(3*b + 2)/3
Let g(y) be the third derivative of -y**7/1050 - y**6/150 + y**5/100 + y**4/12 - 4*y**3/15 - 76*y**2. Factor g(w).
-(w - 1)**2*(w + 2)*(w + 4)/5
Let r(w) = -4*w**3 - 4*w**2 - 4*w + 4. Let x(u) = u**5 + u**4 - 4*u**3 - 4*u**2 - 3*u + 3. Let l(p) = 3*r(p) - 4*x(p). Factor l(k).
-4*k**2*(k - 1)*(k + 1)**2
Let x be (124 - -1) + (-3 - 0). Factor -831*f**2 - 2*f - 12 + 117*f**3 - 507*f**4 + x*f + 1053*f**3 + 60*f.
-3*(f - 1)**2*(13*f - 2)**2
Let j(c) be the third derivative of 17*c**8/1008 - c**7/30 + c**6/90 - 210*c**2. Factor j(f).
f**3*(f - 1)*(17*f - 4)/3
Let g(p) be the first derivative of 3*p**5/100 + p**4/20 - p**3/10 - 3*p**2/10 - 10*p + 1. Let q(o) be the first derivative of g(o). Factor q(r).
3*(r - 1)*(r + 1)**2/5
Let z = 0 + -9. Let v be (-5)/(-3) - z/27. Factor v*r + 6*r**2 - 6*r**3 + 3*r**3 - 5*r.
-3*r*(r - 1)**2
Let w(t) = t**3 - t**2 - 2*t - 2. Let g(y) = 52*y**3 + 189*y**2 + 188*y - 4. Let o(f) = g(f) - 4*w(f). Solve o(h) = 0 for h.
-2, -1/48
Let i be (285/(-72))/(-19)*(-4)/(-2). Let c(g) be the first derivative of i*g**2 - 1/9*g**3 - 1/2*g + 2. Find l, given that c(l) = 0.
1, 3/2
Suppose -l + 5 = 3*k, 4*l + 8 = -0*l + 2*k. Let b be 1/(4*l/(-8)). Determine t so that -t + 15*t**2 - 6*t**2 - t**5 - 9*t**2 + b*t**3 = 0.
-1, 0, 1
Let i = 6351/4 - 19045/12. Factor 4/3*h**3 + 1/3*h**4 + i*h**2 - 1 - 4/3*h.
(h - 1)*(h + 1)**2*(h + 3)/3
Let n(u) = 2*u**4 - 6*u**3 + 6. Let r(f) = -f**4 + f**3. Let w(h) = n(h) - 2*r(h). Let a(y) = 11*y**4 - 23*y**3 + 17. Let p(m) = 6*a(m) - 17*w(m). Factor p(x).
-2*x**3*(x + 1)
Let h(y) = -2*y**5 + 4*y**4 - 3*y**3 - 4*y**2 + 5*y + 6. Let i(j) = 3*j**5 - 7*j**4 + 6*j**3 + 7*j**2 - 9*j - 10. Let g(b) = 5*h(b) + 3*i(b). Factor g(k).
-k*(k - 1)**2*(k + 1)*(k + 2)
Determine n so that 1/2 + 5/4*n - 1/4*n**4 + 3/4*n**2 - 1/4*n**3 = 0.
-1, 2
Factor -2/5*k**2 + 0*k**4 + 3/5*k + 2/5 + 1/5*k**5 - 4/5*k**3.
(k - 2)*(k - 1)*(k + 1)**3/5
Suppose 54*h = -92 + 470. Let j(q) be the first derivative of 2*q**2 - h + 0*q**3 - 1/4*q**4 + 0*q. Factor j(x).
-x*(x - 2)*(x + 2)
Let c = -28 - -20. Let a(v) = v + 8. Let d be a(c). Factor d + 2 + 0 + 2*p + p**2 + p.
(p + 1)*(p + 2)
Let b = 203 - 166. Suppose 17*t = 18*t + 4*v - 12, b = 5*t - 3*v. Solve -t*g**3 + 16/5*g - 74/5*g**2 + 8/5 = 0 for g.
-2, -1/4, 2/5
Suppose 8 + 4/3*q - 28/3*q**2 + 4/3*q**4 - 4/3*q**3 = 0. Calculate q.
-2, -1, 1, 3
Let l be 2/(-12) - (-323)/102. Let -27*k**3 + 17*k**3 + 13*k**3 + l*k**2 = 0. What is k?
-1, 0
Let s(c) be the second derivative of -5*c**4/12 - 205*c**3/3 - 711*c. Factor s(z).
-5*z*(z + 82)
Let z(p) be the second derivative of 16*p**6/75 + 12*p**5/25 + 3*p**4/10 - 2*p - 3. Factor z(q).
2*q**2*(4*q + 3)**2/5
Let b(k) = -k**3 - k**2 + 4*k - 1. Let h be b(4). Let i be (-13)/h - (-1)/(-5). Factor -6/7*v + i + 2/7*v**2.
2*v*(v - 3)/7
Let i(p) = 26*p**2 + 2*p - 22. Let j(z) be the third derivative of -z**5/60 + z**3/6 - 9*z**2. Let g(k) = -2*i(k) - 44*j(k). Factor g(f).
-4*f*(2*f + 1)
Factor -34/5 - 36/5*v - 2/5*v**2.
-2*(v + 1)*(v + 17)/5
Determine i, given that 5*i**2 - 5 - 16*i**3 - 16*i**3 + 27*i**3 + 5*i = 0.
-1, 1
Let v(p) be the third derivative of p**6/24 + 3*p**5/4 + 5*p**4/3 - 50*p**3 + 14*p**2 - 9*p. Suppose v(s) = 0. What is s?
-6, -5, 2
Factor 0*h + 0 + 0*h**2 + 4/5*h**3 - 11/5*h**4.
-h**3*(11*h - 4)/5
Let r(d) be the first derivative of 2*d**3/27 - 40*d**2/3 + 800*d + 128. Factor r(c).
2*(c - 60)**2/9
Let i(l) = 4 + 51*l**2 - 48*l**2 - 1 + 4*l. Let b(y) = -4*y - 3 - 1 + 2 + 2*y - 2*y**2. Let d(q) = -5*b(q) - 3*i(q). Factor d(c).
(c - 1)**2
Let g(t) be the first derivative of -2*t**3/15 + 40*t**2 - 4000*t + 1061. What is l in g(l) = 0?
100
Let i(p) = -p**2 - 3*p - 7. Let a(m) = m + 1. Let k(x) = 2*x**2 - 8*x - 4. Let l(w) = 10*a(w) + k(w). Let z(t) = -6*i(t) - 5*l(t). Factor z(f).
-4*(f - 3)*(f + 1)
Factor 23*a**4 + 50*a**3 + 36 - 50*a + 19 - 37*a**4 + 19*a**4 - 60*a**2.
5*(a - 1)**2*(a + 1)*(a + 11)
Let o(l) be the third derivative of l**7/1365 + 38*l**6/195 + 15*l**5/13 + 112*l**4/39 + 149*l**3/39 - 498*l**2. Let o(y) = 0. What is y?
-149, -1
Let g(l) be the first derivative of 42 + 7*l - 1/3*l**3 + 3*l**2. Let g(m) = 0. Calculate m.
-1, 7
Suppose 5*r = -5 + 20. Let a be (-4)/12*(-4 + r)*0. Factor 0*b**4 - 2/5*b + 0 + 4/5*b**3 + a*b**2 - 2/5*b**5.
-2*b*(b - 1)**2*(b + 1)**2/5
Let j(v) = 2*v**5 - 5*v**4 + 3*v**3 - 4*v**2 - 2*v - 3. Let w(x) = x**5 - 2*x**4 - x**2 - 1. Let u(h) = -4*j(h) + 12*w(h). Factor u(o).
4*o*(o - 2)*(o - 1)*(o + 1)**2
Let w(q) be the second derivative of 1/60*q**5 + 0 - 1/9*q**4 + 0*q**2 + 12*q + 1/6*q**3. Factor w(i).
i*(i - 3)*(i - 1)/3
Let i(a) be the first derivative of -a**7/1020 + 13*a**6/1530 - a**5/51 - 2*a**4/51 + 19*a**3/3 + 9. Let u(x) be the third derivative of i(x). Factor u(v).
-2*(v - 2)**2*(7*v + 2)/17
Factor 0 + 0*t + 3/2*t**3 + 12*t**2.
3*t**2*(t + 8)/2
Let a = -1 - -4. Suppose 4*j + 32 = a*r, 11 + 14 = -5*j. Suppose -16 + 32*x + 0*x**4 + 8*x**3 - 8*x**4 + 7*x**r - 24*x**2 = 0. What is x?
2
Let d = 3756 + -18779/5. Factor -d*m**2 - 3/5*m + 0.
-m*(m + 3)/5
Let s(t) be 