Let n = 201333/7 - 28318. Let p = -443 + n. Find y, given that p*y**2 + 4/7*y + 0 + 2/7*y**3 = 0.
-2, -1, 0
Let v(y) = -15*y**2 + 9*y - 6. Let j(w) = -27*w**2 + 18*w - 11. Let s(p) = -6*j(p) + 11*v(p). Factor s(m).
-3*m*(m + 3)
Factor 56*g + 0 + 1/3*g**2.
g*(g + 168)/3
Let y be ((-56)/(-224))/(2/16). Factor 2 + 2/5*n**y - 12/5*n.
2*(n - 5)*(n - 1)/5
Factor 168*z + 0*z**2 + 261 + 78*z - 3*z**2 + 12*z.
-3*(z - 87)*(z + 1)
Let -3779 + 132*n + 3907 - 3*n**2 + 7*n**2 = 0. Calculate n.
-32, -1
Let k be (-20)/(0 - 4) - 5. Suppose k = -0*d + 3*d + 9, -2*d = -5*s + 21. Factor 1/6*l + 0 + 2/3*l**4 + l**2 + 3/2*l**s.
l*(l + 1)**2*(4*l + 1)/6
Let a = -5253 - -26712/5. Let x = a + -89. Let 0 - 2/5*i**2 + 0*i - x*i**3 = 0. Calculate i.
-1, 0
Let r(o) be the second derivative of o**6/60 + o**5/30 - 5*o**3/2 - 20*o. Let u(v) be the second derivative of r(v). Solve u(h) = 0.
-2/3, 0
Let g = -68/3 - -163/6. Let u(a) be the first derivative of -a**3 + 2 - g*a**2 - 6*a. Find b, given that u(b) = 0.
-2, -1
Let g(v) be the third derivative of -v**7/4536 + v**6/6480 - 3*v**4/8 - 3*v**2. Let m(s) be the second derivative of g(s). Factor m(l).
-l*(5*l - 1)/9
Let r(q) = -2*q**3 - 34*q**2 - 16*q + 64. Let v(l) = -l**2 + 2. Let s(y) = -r(y) + 12*v(y). Factor s(p).
2*(p - 1)*(p + 2)*(p + 10)
Let k be (-176)/(-96)*-6 - -13. Factor 0 + 1/2*r**k - r.
r*(r - 2)/2
Let o(c) be the third derivative of -c**6/840 - c**5/28 - 5*c**3 + 13*c**2. Let u(r) be the first derivative of o(r). Let u(l) = 0. Calculate l.
-10, 0
Suppose 133/2*h + 1/2*h**3 - 33 - 34*h**2 = 0. Calculate h.
1, 66
Let b be ((-2145)/858)/((-10)/16). Find y such that 14/5*y**2 - 6/5*y - 2*y**3 + 0 + 2/5*y**b = 0.
0, 1, 3
Factor 0*q**2 + 12/7*q**4 + 4/7*q**5 + 0*q - 16/7*q**3 + 0.
4*q**3*(q - 1)*(q + 4)/7
Solve 8*l**2 + 353*l**3 - 13*l + 5*l + 0*l**4 - 2*l**4 - 351*l**3 = 0.
-2, 0, 1, 2
Suppose -y - 5*x + 25 = 0, -21*x + 20 = -17*x. Let y + 0*b - 1/2*b**2 - 1/2*b**3 = 0. What is b?
-1, 0
Let x(h) be the third derivative of -5*h**8/112 - 4*h**7/7 - 321*h**6/200 - 59*h**5/50 + 13*h**4/10 + 12*h**3/5 - 494*h**2. Determine f, given that x(f) = 0.
-6, -1, -2/5, 2/5
Let c be (24/(-80))/(-1 + (-10)/(-25)). Factor -c*d - 1/4 - 1/4*d**2.
-(d + 1)**2/4
Let d(k) = 3*k**2 - 34*k + 41. Let w(f) = -4*f**2 + 51*f - 61. Let r(b) = -7*d(b) - 5*w(b). Factor r(a).
-(a - 1)*(a + 18)
Let u(v) be the second derivative of -5*v**7/42 - 5*v**6/6 + v**5/4 + 25*v**4/12 - 56*v - 3. Find l such that u(l) = 0.
-5, -1, 0, 1
Let i(a) be the third derivative of -1/840*a**8 - 29*a**2 - 1/60*a**4 - 1/50*a**6 + 0 + 4/525*a**7 + 0*a + 2/75*a**5 + 0*a**3. Let i(u) = 0. Calculate u.
0, 1
Let t be 1/((-1)/(-8)*2). Suppose 0*c - 3*m - 94 = -4*c, -133 = -5*c - t*m. Find y such that 28*y**2 + 7*y - y - c*y**2 = 0.
-2, 0
Let g = -1522/15 + 102. Let a(s) be the first derivative of 0*s**2 - 1/5*s**4 + 0*s - 12/25*s**5 + 8 + 0*s**3 + g*s**6. Suppose a(v) = 0. What is v?
-1/4, 0, 1
Let u(b) be the third derivative of b**7/105 - 4*b**6/5 + 207*b**5/10 - 529*b**4/6 + 165*b**2 + 2. Factor u(g).
2*g*(g - 23)**2*(g - 2)
Let u = -195 - -198. Let p(h) be the second derivative of -h + 1/4*h**4 + 0 + 1/2*h**u + 0*h**2. Factor p(z).
3*z*(z + 1)
Let w(d) = -4*d**3 - 6*d**2 - 2*d - 10. Let x(t) = -21*t**3 - 37*t**2 - 10*t - 49. Let i(c) = 22*w(c) - 4*x(c). Suppose i(y) = 0. What is y?
-1, 2, 3
Let c(k) = -k**3 + 18*k**2 - 2*k + 41. Let d be c(18). Suppose -7*n = -d*n. Factor n - 2/9*w**2 - 2/9*w.
-2*w*(w + 1)/9
Let f be 6/(-2) + 3/1. Let u be (0*(-1 - f))/2. Find x, given that 1/2*x**5 - x**4 + u + x**2 - 1/2*x + 0*x**3 = 0.
-1, 0, 1
Let m(n) be the first derivative of n**7/2520 + n**6/270 - 44*n**3/3 + 46. Let u(c) be the third derivative of m(c). Factor u(q).
q**2*(q + 4)/3
Let d(o) be the second derivative of o**6/10 + 9*o**5/10 + 9*o**4/4 + 2*o**3 + 55*o - 1. Find m, given that d(m) = 0.
-4, -1, 0
Let r = 117/3164 + -1/791. Let k(s) be the third derivative of 0*s**5 + 0 + 1/420*s**6 - r*s**4 - 2/21*s**3 + 0*s + 8*s**2. Let k(a) = 0. What is a?
-1, 2
Let w(m) be the second derivative of -3*m**5/160 + 35*m**4/32 - 67*m**3/16 + 99*m**2/16 - 2*m - 407. Let w(k) = 0. Calculate k.
1, 33
Let p(y) = -y**3 - 27*y**2 + 29*y + 28. Let a be p(-28). Let j(m) be the second derivative of 3*m**2 + a + 2/3*m**3 + 1/18*m**4 + m. What is t in j(t) = 0?
-3
Suppose 81/5*f**2 + 12/5*f**3 - 3/5*f**4 + 114/5*f + 48/5 = 0. Calculate f.
-2, -1, 8
Suppose -j - 10 = -6*j. Let l(v) = v + 1. Let r(t) = 7*t**4 - 2*t**3 - 7*t - 7. Let h(q) = j*r(q) + 14*l(q). Factor h(b).
2*b**3*(7*b - 2)
Suppose 5*b - 13 = 2. Let p(x) = x**b - 20 + 21 - 2*x**3 + x. Let i(l) = -4*l**3 + 4*l + 5. Let j(a) = 3*i(a) - 15*p(a). Solve j(k) = 0 for k.
-1, 0, 1
Factor 12*p + 16/11 - 34/11*p**2.
-2*(p - 4)*(17*p + 2)/11
Suppose 4*j = 3*j - 5. Let s be -3 + 6 + (80/6)/j. Determine n so that -2/3 - s*n + 1/3*n**2 = 0.
-1, 2
Suppose -2*p - 6 = -4*p. Suppose p = -5*r + 13. Solve 10*l**4 + r - 7*l**3 + 8*l**5 - 13*l**3 - 10*l**5 - 18*l + 20*l**2 + 8*l = 0 for l.
1
Factor 232*d**4 - 233*d**4 + 60*d**2 + 44*d + 7*d**3 - 20*d**2.
-d*(d - 11)*(d + 2)**2
Let v(r) be the second derivative of r**7/280 + r**6/60 - r**5/40 - r**4/4 - 5*r**3/3 - 13*r. Let d(a) be the second derivative of v(a). Factor d(y).
3*(y - 1)*(y + 1)*(y + 2)
Factor 3/4*g**4 - 3/4*g**3 + 0*g - 3/4*g**2 + 0 + 3/4*g**5.
3*g**2*(g - 1)*(g + 1)**2/4
Let m(y) be the third derivative of 1/60*y**5 - 37*y**2 - 1/4*y**3 + 1/96*y**4 + 0*y + 1/480*y**6 + 0. Factor m(t).
(t - 1)*(t + 2)*(t + 3)/4
Let d = -110 - -105. Let z be d - ((-34)/8 - 1). Solve 5/4*c**3 + 0 - z*c**4 - 2*c**2 + c = 0 for c.
0, 1, 2
Let g = 100 + -98. Let d(k) be the second derivative of 1/48*k**4 + 1/24*k**3 + 0*k**g + 0 + 6*k. Factor d(r).
r*(r + 1)/4
Let b be (-30)/(-35) + -3 - -3. Let -26/7*s - 6/7*s**3 + 26/7*s**2 + b = 0. Calculate s.
1/3, 1, 3
Let o(m) be the third derivative of -m**5/40 + 17*m**4/144 - 2*m**3/9 - 2*m**2 - 402*m. Factor o(h).
-(h - 1)*(9*h - 8)/6
Let l(r) be the third derivative of 9*r**2 + 0 + 0*r**3 - 5/12*r**4 + 7/12*r**5 + 0*r. Determine h, given that l(h) = 0.
0, 2/7
Suppose -3*u = -9 - 15. Factor -4*v**2 - 12*v**4 + 24*v**4 - u*v**4.
4*v**2*(v - 1)*(v + 1)
Let a be 35/((-1)/(-2 + 1)). Let f = -101/3 + a. Solve -40/9*b**2 + f*b**3 + 2*b**4 + 0 + 16/9*b = 0 for b.
-2, 0, 2/3
Let s be -11 - ((-2954)/273 + 7/(-21)). Let 2/13*l**2 + 2/13*l**3 - s*l - 2/13 = 0. Calculate l.
-1, 1
Factor 0 - 1/4*n**3 - 25/4*n + 5/2*n**2.
-n*(n - 5)**2/4
Let f(b) be the second derivative of b**6/10 - 3*b**5/10 + b**4/4 - b + 36. Suppose f(r) = 0. What is r?
0, 1
Let x = 791 + -791. Determine d so that -5/4*d**2 + x - 1/2*d + 5/4*d**4 + 3/4*d**5 - 1/4*d**3 = 0.
-1, -2/3, 0, 1
Let -10/9*b**3 - 16/9*b**2 - 8/9*b - 2/9*b**4 + 0 = 0. Calculate b.
-2, -1, 0
Factor -75*o + 83 + 3*o**2 - 83.
3*o*(o - 25)
Let c = -3523 + 454465/129. Let t = 121/516 - c. Factor -t + 0*j + 1/4*j**2.
(j - 1)*(j + 1)/4
Suppose 2*s = -m + 9, -m - 6 = -3*s - 0. Solve 4*y**2 + 10/3*y - 4/3 + 2*y**5 - 8/3*y**4 - 16/3*y**m = 0.
-1, 1/3, 1, 2
Factor 2/7*y**2 + 0 - 18/7*y.
2*y*(y - 9)/7
Suppose -6*a - 3*c = -a - 12, 2*c - 10 = -4*a. Factor -2/9*b**a + 2/9*b - 8/9 + 8/9*b**2.
-2*(b - 4)*(b - 1)*(b + 1)/9
Let q(h) = h**2 + 2*h - 27. Let v be q(4). Let j be -4 + (6 - v*10/45). Let 0 + j*a**3 + 3/2*a**4 - 1/3*a + 5/6*a**2 = 0. Calculate a.
-1, 0, 2/9
Let d = 16041 - 16039. Factor 1/2 - j**d + 7/4*j.
-(j - 2)*(4*j + 1)/4
Let c(m) be the first derivative of -8/11*m**3 - 2/55*m**5 - 3/11*m**4 - 13 - 6/11*m - 10/11*m**2. Factor c(p).
-2*(p + 1)**3*(p + 3)/11
Let q = 170843/11 - 15531. Factor 4/11*w + q*w**2 + 2/11.
2*(w + 1)**2/11
Let n(m) be the second derivative of 0*m**4 + 0 + 2/3*m**3 - 3/20*m**5 - 1/30*m**6 + 0*m**2 - 15*m. What is v in n(v) = 0?
-2, 0, 1
Let a(b) be the third derivative of b**6/90 - 7*b**5/15 - 11*b**4/9 - b**2 + 30. What is j in a(j) = 0?
-1, 0, 22
Solve 0*k + 0 + 2/3*k**5 - 4/3*k**4 + 0*k**2 - 2*k**3 = 0 for k.
-1, 0, 3
Let c = 4139/2 - 2041. Let w be (-38)/(-4) + 3 + -2. Suppose 0 - w*o**5 + 3*o - 45/2*o**3 - 3/2*o**2 - c*o**4 = 0. Calculate o.
-1, 0, 2/7
Let y(a) = 3*a**3 - 19*a**2 + 2*a + 4. Let o(q) = -12*q**3 + 75*q**2 - 9*q - 21. Let w(l) = 4*o(l) + 15*y(l). Factor w(z).
-3*(z - 4)*(z - 2)*(z + 1)
Suppose -2*v = -