02/5*k**3 + 12*k**4 + 0 + 48/5*k**2.
6*k**2*(k + 1)**2*(k + 8)/5
Let j(u) = -u**3 + 8*u**2 + 9*u + 3. Let o be j(9). Suppose 0 = 5*f + 3*g - 3, -f - 3 + 0 = -o*g. Factor -x**3 + f*x**2 - 2*x**4 - 2*x**2 - 3*x**3.
-2*x**2*(x + 1)**2
What is l in 14*l**2 - 31*l - 37*l + 92*l + l**3 = 0?
-12, -2, 0
Let g(q) = 2*q. Let a be g(1). Let f be -1*(-82 + (5 - 1)). Factor n**4 + 3*n**3 - f*n - 6 + 2*n**4 + 63*n - 9*n**a.
3*(n - 2)*(n + 1)**3
Let o(h) be the second derivative of 3*h**7/14 + 26*h**6/15 + 69*h**5/20 - 3*h**4/2 - 57*h - 6. Factor o(b).
b**2*(b + 3)**2*(9*b - 2)
Let p(i) be the second derivative of -i**6/30 - i**5/2 - 13*i**4/12 + 10*i**3 - 18*i**2 + 92*i. Factor p(l).
-(l - 1)**2*(l + 6)**2
Let u(z) = 33*z**2 + 8*z - 17. Let d be u(4). Factor d - x**4 + 8*x**3 + 6*x**2 - 551 + 3*x**4 - 8*x.
2*(x - 1)*(x + 1)*(x + 2)**2
Let p = -19491613/260 + 74967. Let i = 1/130 - p. Suppose 3*n - i*n**2 - 9/4 = 0. What is n?
1, 3
Let j(x) be the second derivative of 0 + 0*x**2 + 1/18*x**3 + 1/36*x**4 - 11*x. Factor j(t).
t*(t + 1)/3
Suppose 22*z - 14*z = -26*z. Factor -4/7*s**2 - 2/7*s + z - 2/7*s**3.
-2*s*(s + 1)**2/7
Let z be 9/15*((-78)/27 + 4). Let a(s) be the first derivative of -4/9*s**3 + 0*s - 1/12*s**4 - z*s**2 + 4. Factor a(b).
-b*(b + 2)**2/3
Let j(k) = k - 15. Let d be j(0). Let c be 6/d + (-4)/(-8). Find x, given that -2/5*x - 2/5 - c*x**2 = 0.
-2
Let r be -2*(-1)/(7/28). Let s be (-1 - r/(-10))/((-6)/15). Factor -s*h**2 - 1/2 - h.
-(h + 1)**2/2
What is w in -1/8*w**2 - 1/4*w + 3/8 = 0?
-3, 1
Factor -20/9*f**4 + 0 + 40/3*f**2 + 8*f + 26/9*f**3 + 2/9*f**5.
2*f*(f - 6)**2*(f + 1)**2/9
Let l(d) be the first derivative of 4*d**3 + 2 + 0*d - 3/2*d**4 + 1/5*d**5 - 4*d**2. Let l(v) = 0. Calculate v.
0, 2
Suppose 27*p + 3209 - 3263 = 0. Find w, given that 12/5 - p*w - 2/5*w**2 = 0.
-6, 1
Let d be -6*8/12 + 3. Let h be (d/((-3)/12))/2. What is a in -3*a**3 + 2*a**h - 6*a**2 + 2*a**2 + 5*a**2 = 0?
0, 1
Let t(x) = 3*x**3 - x**2. Let c be t(1). Suppose -p - c*n = 2, 2*n + 0*n + 18 = 3*p. Factor 0*k + 0*k**2 + 0 - 2/7*k**5 + 2/7*k**3 + 0*k**p.
-2*k**3*(k - 1)*(k + 1)/7
Let g(y) = -80*y**5 + 160*y**4 + 225*y**3 - 295*y**2 - 300*y - 80. Let k(h) = -h**2 + h - 1. Let x(o) = g(o) - 20*k(o). Let x(q) = 0. What is q?
-1, -3/4, -1/4, 2
Let d = 23 + -20. Factor -26 + 4*r**3 + 26 - 3*r**2 + 2*r - d*r**2.
2*r*(r - 1)*(2*r - 1)
Let x(i) = -i**3 + 5*i**2 + 15*i - 5. Let v be x(7). Suppose 0*r - 4*r - y + 6 = 0, v*r = -2*y. Solve 0*z**3 - 3/8*z**4 + 3/4*z + 9/8*z**r + 0 = 0.
-1, 0, 2
Factor 20*c + 450 + 2/9*c**2.
2*(c + 45)**2/9
Let p be (-1144)/2080 + 4/5. Solve 1/2*b - 1/4*b**2 + 0 - p*b**3 = 0.
-2, 0, 1
Let t(w) = -w - 1. Let j(d) = 12*d + 7. Let r(o) = 2*j(o) + 22*t(o). Let v be r(5). Solve -2/5*x - 2/5*x**4 + 2/5*x**v + 2/5*x**3 + 0 = 0.
-1, 0, 1
Suppose -5*n + 1/2*n**2 + 9/2 = 0. Calculate n.
1, 9
Let q(c) be the first derivative of c**3/6 - 8*c + 143. Factor q(x).
(x - 4)*(x + 4)/2
Let g be 4/(-14) - (-8)/28. Suppose g*q + 7 = q. What is w in q - 245*w**3 + 427*w**2 - 1 - 160*w - 42*w**2 + 14 = 0?
2/7, 1
Let q(f) = -3*f**2 - 15*f - 63. Let b(a) = -2*a**2 + a + 1. Let l(u) = 2*b(u) - 2*q(u). Factor l(g).
2*(g + 8)**2
Let h = 1486 + -918. Let q = h - 2257/4. Solve 0*k - 5*k**3 + q*k**4 - k**5 - 1/4 + 5/2*k**2 = 0.
-1/4, 1
Let l(y) be the first derivative of 4 + 1/2*y**4 + 3*y**2 - 2*y - 2*y**3. Let l(m) = 0. Calculate m.
1
Let o(b) be the second derivative of -b**6/1140 + 2*b**5/285 - b**4/57 - 10*b**2 + 18*b. Let u(l) be the first derivative of o(l). What is i in u(i) = 0?
0, 2
Let l(u) = 5*u**4 - 30*u**3 + 37*u**2 + 3*u - 6. Let v(k) = -k**2 + k - 2. Let a(d) = -l(d) + 3*v(d). Factor a(z).
-5*z**2*(z - 4)*(z - 2)
Let q = -1650/29 - -3735/58. Determine r so that -33/4 + 3/4*r**2 + q*r = 0.
-11, 1
Determine n so that 12089 + 125*n**5 - 925*n**4 - 12089 + 1105*n**3 - 335*n**2 + 30*n = 0.
0, 1/5, 1, 6
Let i(h) = -11*h**5 + 9*h**4 - 18*h**3 + 11*h**2 + 19*h - 5. Let l(x) = 2*x**5 - 4*x**4 - x**3 + x + 1. Let t(d) = -i(d) - 5*l(d). Find a, given that t(a) = 0.
-8, -3, -1, 0, 1
Let n(v) be the second derivative of v**6/120 + v**5/20 - 3*v**4/8 - 2*v**3 - v. Let h(d) be the second derivative of n(d). Factor h(f).
3*(f - 1)*(f + 3)
Let m(p) be the first derivative of p**4/20 - 16*p**3/15 - p**2/10 + 16*p/5 - 15. Find c such that m(c) = 0.
-1, 1, 16
Let m(v) be the third derivative of -v**8/1344 + v**7/120 + 17*v**6/480 + 3*v**5/80 - 13*v**2 + 2. Factor m(x).
-x**2*(x - 9)*(x + 1)**2/4
Let f(b) be the first derivative of 42*b**2 + 7/2*b**6 - 67*b**3 - 14 + 219/4*b**4 - 12*b - 111/5*b**5. Let f(u) = 0. What is u?
2/7, 1, 2
Let d(h) = -h**2 - h. Let c = -6 + 13. Let y(x) = -x**2 + 7*x - 4. Let s be y(c). Let l(q) = -4*q**3 - q**2 + 3*q. Let w(z) = s*d(z) - l(z). Factor w(k).
k*(k + 1)*(4*k + 1)
Let r(k) be the third derivative of 19*k**2 + 0 + 0*k + 5/36*k**4 + 1/70*k**7 - 37/180*k**5 + 0*k**3 - 19/180*k**6. Solve r(l) = 0 for l.
-1, 0, 2/9, 5
Factor 2/7*l**3 + 16/7*l**2 + 24/7 + 38/7*l.
2*(l + 1)*(l + 3)*(l + 4)/7
Let r(a) = 35*a**4 + 30*a**2 + 20*a + 15. Let g(s) = s**4 - s**3 - s**2 - s. Let q(v) = 30*g(v) - r(v). Determine b, given that q(b) = 0.
-3, -1
Suppose 0 = -62*o + 28*o. Let d(t) be the second derivative of 0*t**2 - 1/48*t**4 + o - 2*t - 1/24*t**3. Factor d(y).
-y*(y + 1)/4
Let d(z) be the first derivative of 135*z**4/4 + 340*z**3 - 710*z**2/3 + 160*z/3 + 47. Determine h so that d(h) = 0.
-8, 2/9
Factor 10 + 192*x**4 + 187*x**4 - 15*x - 384*x**4 - 5*x**2 + 15*x**3.
-5*(x - 2)*(x - 1)**2*(x + 1)
Let u be 80/(-455) - (1 - (-4)/(-3)). Let v = 5/39 + u. Factor -10/7*t**2 - 2*t - v*t**3 - 6/7.
-2*(t + 1)**2*(t + 3)/7
Let u be (-2)/1 - -9 - 4. Factor -33*z**3 + 17*z**3 + z**5 + 15*z**u.
z**3*(z - 1)*(z + 1)
Let m be 0 - 3752/20 - 5. Let v = m + 193. Factor 4/5 - 2/5*j - v*j**2.
-2*(j - 1)*(j + 2)/5
Suppose -4*t + 4 = -4. Factor 4*i**3 - 2*i**3 + 231 - 2*i**2 - 229 - t*i.
2*(i - 1)**2*(i + 1)
Let v(i) be the second derivative of -i**6/12 - 3*i**5/2 - 215*i**4/24 - 25*i**3 - 35*i**2 - 322*i. Let v(k) = 0. Calculate k.
-7, -2, -1
Let p(d) = d**2 + d + 1. Let f(u) be the first derivative of -u**3/3 + 11*u**2/2 + 2*u + 14. Let b(n) = f(n) - 2*p(n). What is j in b(j) = 0?
0, 3
Let j = -2/6599 + 13212/46193. Let l = 8 - 6. Factor 0*z + 0 - j*z**3 - 2/7*z**l.
-2*z**2*(z + 1)/7
Let u(t) be the first derivative of 4/7*t + 3/7*t**2 + 24 + 0*t**3 - 1/14*t**4. What is r in u(r) = 0?
-1, 2
Let h(k) = 14*k**4 - 2*k**3 + 6*k**2 - 22*k - 8. Let n(u) = u**4 - u**3 - u. Let a = -60 + 48. Let b(y) = a*n(y) + h(y). Solve b(w) = 0 for w.
-4, -1, 1
Let j be (-54)/15 - 4/10. Let z be j/(-10) + (-40)/(-25). Solve 4*a**4 + z*a**2 - 6*a**2 + a**3 + 2*a - 3*a**3 = 0.
-1, 0, 1/2, 1
Let s = 331/156 + 11/52. Determine o, given that -8/3*o - 6*o**3 - 1/3*o**5 + s*o**4 + 0 + 20/3*o**2 = 0.
0, 1, 2
Let c be 1408/242 + -2 + 96/44. Let x be -2*1*(-11 - -9). Determine d, given that -2/3*d - 4*d**2 - c*d**3 - 8/3*d**x + 0 = 0.
-1, -1/4, 0
Let w(i) = -60*i**2 - 356*i + 101. Let c(s) = -71*s - 59*s**2 + 103*s**2 + 20 - 56*s**2. Let u(j) = -11*c(j) + 2*w(j). Suppose u(x) = 0. Calculate x.
-6, 1/4
Let t(y) be the third derivative of -y**6/120 - y**5/20 - y**4/8 - y**3/3 - 6*y**2. Let s(w) be the first derivative of t(w). Factor s(m).
-3*(m + 1)**2
Let j(w) = -w**2 - 9*w**5 + 0 + 8*w**5 + 1 - w**3. Let i(x) = -9*x**5 + 3*x**4 - 6*x**2 + 6. Let q be 0 + (2 - -4)*-1. Let v(k) = q*j(k) + i(k). Solve v(g) = 0.
-1, 0, 2
Suppose 0 = 559*t - 551*t. Let z(r) be the third derivative of t*r + 0 + 14*r**2 - 1/390*r**5 + 1/26*r**4 - 3/13*r**3. Factor z(k).
-2*(k - 3)**2/13
Let g(q) be the second derivative of -1/6*q**4 + 1/30*q**5 + 5/2*q**2 + 3*q + 0*q**3 + 0. Let v(y) be the first derivative of g(y). Factor v(f).
2*f*(f - 2)
Let y(m) be the third derivative of m**5/20 + 5*m**4/2 + 50*m**3 + 16*m**2 + 4*m. Factor y(n).
3*(n + 10)**2
Factor -9/5*y**2 + 0 + 0*y**3 + 3/5*y**4 + 6/5*y.
3*y*(y - 1)**2*(y + 2)/5
Factor 0 + 78/5*i - 3/5*i**2.
-3*i*(i - 26)/5
Let k(w) be the second derivative of -38*w**3 + w - 18*w**5 + 5/2*w**6 + 159/4*w**4 + 18*w**2 + 0. Determine s so that k(s) = 0.
2/5, 1, 3
Let h(z) = -88*z + 444. Let u be h(5). Factor -4/9*i**3 + 0*i**u + 0*i**2 + 0 + 2/9*i + 2/9*i**5.
2*i*(i - 1)**2*(i + 1)**2/9
Let 