**2*(y + 1)/11
Let o be ((-12)/(-360))/(4*(-4)/(-64)). Factor -2/15 + 2/15*u**2 - 2/15*u + o*u**3.
2*(u - 1)*(u + 1)**2/15
Let u be ((-5)/6)/((-195)/52). Factor -2/9 + 4/9*t**2 + 0*t**3 - u*t**4 + 0*t.
-2*(t - 1)**2*(t + 1)**2/9
Let n(j) = -j**2 - 2*j - 6. Let z be n(-4). Let l be 76/28 + (-4)/z. Factor -2*o**l + 5*o**3 + 6*o**2 - 8*o**4 + 5*o**4.
-3*o**2*(o - 2)*(o + 1)
Let c(n) be the third derivative of n**6/6 - 3*n**5/4 - 388*n**2. Determine y, given that c(y) = 0.
0, 9/4
Factor 0*l + 27/5*l**2 + 9/5*l**4 + 0 - 27/5*l**3 - 1/5*l**5.
-l**2*(l - 3)**3/5
Let a(s) = 3*s**3 + s**2 - 3*s + 1. Let m be a(1). Factor -5*c**2 - m*c + c**2 - 3 + 2*c**3 + 7.
2*(c - 2)*(c - 1)*(c + 1)
Let b = -27880 - -139402/5. Factor 0 - b*d**2 - 12/5*d.
-2*d*(d + 6)/5
Suppose 0 = 2*u + 4*c + 1 + 9, -u = -c - 7. Suppose k - 5*l - 2 = -3, -k + l = -u. Suppose 0*x + 1/3*x**5 + 0*x**k + 0*x**2 - 1/3*x**3 + 0 = 0. Calculate x.
-1, 0, 1
Let c(a) be the third derivative of a**5/420 + 17*a**4/56 - 26*a**3/21 + 10*a**2 - 3. Find y, given that c(y) = 0.
-52, 1
Let v be 48/143 - 72/468. Solve 4/11*m**5 + v*m**4 + 4/11*m + 2/11 - 4/11*m**2 - 8/11*m**3 = 0 for m.
-1, -1/2, 1
Factor 25*z**3 + 30250 - 7*z**3 + 560*z**2 - 13*z**3 + 14737*z + 1488*z.
5*(z + 2)*(z + 55)**2
Let d(c) be the third derivative of c**6/1620 - c**5/270 + c**4/108 + c**3/6 - 17*c**2. Let x(k) be the first derivative of d(k). Let x(r) = 0. Calculate r.
1
Suppose 0 = 4*y - 8. Find z such that 38*z**4 + 4*z**y - 18*z**4 - 24*z**4 = 0.
-1, 0, 1
Let u(q) = q**3 - q**2 - 3*q - 1. Let i be u(-1). Let j = 4 - i. Find o, given that 0 - 2/7*o**j - 2/7*o**3 + 0*o**2 + 0*o = 0.
-1, 0
Let r(l) be the second derivative of 3*l**5/10 - 85*l**4/8 + 21*l**3/4 + 2*l - 1. Factor r(b).
3*b*(b - 21)*(4*b - 1)/2
Suppose 0 = 711*q - 699*q. Let w(t) be the third derivative of q + 1/4*t**5 + 5/24*t**4 + t**2 + 0*t - 5/3*t**3. Find o, given that w(o) = 0.
-1, 2/3
Let g(s) be the first derivative of -s**5/180 + s**4/12 - s**3/2 + s**2 + 9. Let j(v) be the second derivative of g(v). Find p, given that j(p) = 0.
3
Let o(x) = -x**2 - 2*x - 3. Let c be o(-2). Let q = 7 + c. Solve -3 - 8*m**3 + 2*m**4 - 2 - q*m + 5 + 10*m**2 = 0.
0, 1, 2
Let d(a) = -35*a**2 + 23*a + 34. Let f(q) = 13*q**2 - 7*q - 11. Let z(g) = -3*d(g) - 8*f(g). Factor z(j).
(j - 14)*(j + 1)
Suppose 28*b - 71*b = -32*b. Let c(y) be the third derivative of 1/72*y**4 + 0*y - 1/180*y**5 + 1/9*y**3 - 9*y**2 + b. Factor c(z).
-(z - 2)*(z + 1)/3
Let s be ((-2 - -3) + -2)*10/(-35). Let v(y) be the second derivative of -5/21*y**3 + 0 + s*y**2 - 1/70*y**5 + 10*y + 2/21*y**4. Factor v(h).
-2*(h - 2)*(h - 1)**2/7
Let w be ((-14)/(-24))/((54/(-24))/(-3)). Let d = w + 7/9. Factor d*v**4 - 2*v**3 + 0 + 0*v + 4/9*v**2.
2*v**2*(v - 1)*(7*v - 2)/9
Let v be (-3)/((4 - 1)*5/25). Let l(u) = -2*u**2 + 34*u - 77. Let i(o) = -o**2 + 18*o - 39. Let z(a) = v*i(a) + 3*l(a). Factor z(n).
-(n - 6)**2
Let p(l) be the third derivative of -l**5/180 + l**4/2 - 18*l**3 - 70*l**2 - 2. Factor p(z).
-(z - 18)**2/3
Let t be -35 - -46 - (-8 + -1)*-1. Determine g so that 1/2*g**4 - 1/2*g**t + 1/6*g**5 - 1/3*g + 0 + 1/6*g**3 = 0.
-2, -1, 0, 1
Let n be ((-29)/(-2))/((-23)/(-184)). Let i = n - 113. Factor -2/5*w**i - 2/5*w**2 + 0*w + 0.
-2*w**2*(w + 1)/5
Determine u so that 16*u + 4*u**4 - 56/3*u**3 - 92/3*u**2 + 8/3*u**5 + 80/3 = 0.
-2, -1, 1, 5/2
Suppose 2*y - r + 46 = 50, -5*y + 4*r = -10. Let -1/5 + 1/5*l**y + 1/10*l**3 - 1/10*l = 0. What is l?
-2, -1, 1
Suppose -2 = -2*n - 0, 0 = -5*i + n - 1. Suppose 3 = 3*w - x - 1, i = 4*x - 20. Let 2/3*z**2 - 2/9*z**4 - 2/9*z**w - 4/9 + 2/9*z = 0. Calculate z.
-2, -1, 1
Let q(k) be the first derivative of -5*k**4/4 - 155*k**3/3 - 360*k**2 + 8100*k - 867. Factor q(a).
-5*(a - 5)*(a + 18)**2
Let -88*p**2 - 55*p + 38 + 22 + 83*p**2 = 0. What is p?
-12, 1
Let l be (-52)/4 - (5 + -18). Factor -6*a - 3/2*a**4 + l*a**2 + 0 + 9/2*a**3.
-3*a*(a - 2)**2*(a + 1)/2
Let x(a) be the second derivative of a**5/160 + 25*a**4/32 + 625*a**3/16 + 15625*a**2/16 + 3*a + 7. Find p, given that x(p) = 0.
-25
Let v be (-3)/(((-18)/(-4))/(-3)). Let x be v - (-1 + 1) - -1. Let 66*k**2 + 5 + 10*k**4 + 40*k + 60*k**3 + 3 - 16*k**x = 0. What is k?
-2, -1, -2/5
Let n be (((-45)/(-6))/1)/((-174)/(-16)). Let c = -2/87 + n. Factor c*d**3 + 2/3*d + 4/3*d**2 + 0.
2*d*(d + 1)**2/3
Let h be (-8)/2 + (-7 - -8). Let r(p) = p**4 + p + 1. Let g(f) = -4*f**4 + 4*f**3 - 5*f**2 - f - 3. Let n(l) = h*r(l) - g(l). Factor n(q).
q*(q - 2)*(q - 1)**2
Let l(m) be the second derivative of -2*m**6/165 + m**5/22 + m**4/66 - 2*m**3/11 + 132*m. Determine o, given that l(o) = 0.
-1, 0, 3/2, 2
Let h(r) be the first derivative of r**6/45 + r**5/30 - r**4/4 + 2*r**3/9 - 7*r**2/2 - 2. Let g(y) be the second derivative of h(y). Factor g(q).
2*(q - 1)*(q + 2)*(4*q - 1)/3
Suppose 0*g - 16 = -8*g. Let k(a) be the second derivative of 0*a**g + 1/3*a**3 + 5*a - 1/6*a**4 + 0. Let k(p) = 0. What is p?
0, 1
Let f(i) = -7*i**4 + 17*i**3 + 16*i**2 - 8*i - 2. Let q(u) = 15*u**4 - 34*u**3 - 33*u**2 + 16*u + 5. Let d(j) = 5*f(j) + 2*q(j). Factor d(a).
-a*(a - 4)*(a + 1)*(5*a - 2)
Factor -32*k**3 + 175*k**2 - 16*k + 14*k**4 - 235*k**2 - 2*k**4.
4*k*(k - 4)*(k + 1)*(3*k + 1)
Let g(f) = 35*f**2 - 15*f + 10. Let k be 0/1 + (-37 - -22). Let c(u) = u**2 + 1. Let x(p) = k*c(p) + g(p). Factor x(b).
5*(b - 1)*(4*b + 1)
Let g(f) be the first derivative of -f**5/45 + 7*f**4/4 + 43*f**3/9 + 65*f**2/18 - 3. Determine k so that g(k) = 0.
-1, 0, 65
Let o = -11 + 16. Suppose -2*c + 11 = o. Factor -7*r**4 + 11*r**4 - 10*r**c + 2*r**2 - 8*r**5 + 11*r**4 + r**4.
-2*r**2*(r - 1)*(2*r - 1)**2
Let j be (1/27*-2)/(6*13/(-468)). Determine i, given that -j*i**2 - 4/9*i + 8/9 = 0.
-2, 1
Let j(l) = -l**4 + 5*l**3 + 53*l**2 - 5*l - 96. Let q(b) = -b**4 + 2*b**3 + 26*b**2 - 2*b - 48. Let a(c) = 2*j(c) - 5*q(c). Factor a(y).
3*(y - 2)**2*(y + 2)**2
Let h = 67 + -25. Suppose -h*y**2 - 39*y**4 - 65*y**2 + 8*y**2 - 4*y**3 + 6 - 107*y**3 - 21*y = 0. What is y?
-1, 2/13
Let m(j) = -6*j**3 - 17*j**2 + 163*j - 89. Let g(s) = 2*s**3 + 6*s**2 - 56*s + 30. Let o(p) = -17*g(p) - 6*m(p). Let o(r) = 0. Calculate r.
-4, 1, 3
Factor 396*q**2 - 301*q**4 + 154*q**4 - 400 + 80*q - 80*q**3 + 151*q**4.
4*(q - 10)**2*(q - 1)*(q + 1)
Let u(g) = -g**3 + 6*g**2 + 7*g + 3. Let h be u(7). Factor 7*l + 5*l + h*l**2 - 6*l.
3*l*(l + 2)
Suppose 11*t + 4 - 15 = 0. Let z be t/((-85)/(-10) - 5). Suppose z*l**3 - 2/7*l + 6/7 - 6/7*l**2 = 0. What is l?
-1, 1, 3
Determine d, given that d**5 + 786*d**2 + 812*d**2 - 8*d**4 + 8*d + 21*d**3 - 1620*d**2 = 0.
0, 1, 2, 4
Let j be 40/250*-2*(-10)/32. Let m(g) be the second derivative of -9*g - j*g**5 + 1/3*g**4 + 7/3*g**3 + 4*g**2 + 0. Factor m(r).
-2*(r - 4)*(r + 1)**2
Suppose 3*s - 9 = -5*q, 2*s = -q - 3*s + 15. Let o be q + 0 - 4 - (7 + -14). Factor -11/5*w**2 + 4/5 - 12/5*w + 5*w**4 + 6*w**o.
(w + 1)**2*(5*w - 2)**2/5
Let i = 21 - 18. Suppose -12*u - i*u + 9 + 19 - 8 - 5*u**2 = 0. Calculate u.
-4, 1
Suppose 3*w = -4*c - 0*w + 5, 2*c - 9 = 5*w. Suppose 2*p + 2*a - 9 = 17, -p - c = -2*a. Find y, given that p - 2*y - 8 + 2*y**3 = 0.
-1, 0, 1
Let v(z) be the third derivative of -z**5/330 + z**4/66 - z**3/33 + 2*z**2 - 29*z. Factor v(b).
-2*(b - 1)**2/11
Suppose -3*d - 5 - 10 = 0. Let s be 1 + (-1 - 0 - d). Suppose 3*o**s + 8*o - 6*o**3 + 9*o**2 - o**5 - o**2 - 4*o**4 = 0. Calculate o.
-1, 0, 2
Let m(i) = 4*i + 1. Let g be m(3). Suppose g*n**2 - 18*n**2 - 9*n + 21*n + 8*n = 0. What is n?
0, 4
Let d(c) be the second derivative of -1/140*c**5 - 7*c - 1/28*c**4 + 3/14*c**2 + 0 + 1/42*c**3. What is m in d(m) = 0?
-3, -1, 1
Determine y, given that 5/4*y**2 + 225/4 - 115/2*y = 0.
1, 45
Let c(z) = -z**2 + 67*z - 259. Let j be (-25)/30*(-6)/(-15)*-12. Let s(y) = -68*y + 260. Let b(u) = j*c(u) + 3*s(u). Factor b(m).
-4*(m - 8)**2
Let y(x) = 700*x + 2802. Let j be y(-4). Find w such that -1/7*w**3 + 5/7*w**j - 8/7*w + 4/7 = 0.
1, 2
Suppose 0 = -13*n + 14*n - 6. Let c be (n/63*1)/((-2)/(-39)). Factor -9/7*y**2 + 2/7 - 1/7*y - 5/7*y**4 + c*y**3.
-(y - 1)**3*(5*y + 2)/7
Let c = -31 - -36. Factor s**c - 26*s**3 + 25*s**3 + 0*s**5.
s**3*(s - 1)*(s + 1)
Let d(u) be the third derivative of -1/30*u**5 + 1/120*u**6 + 4/3*u**3 + 0*u + 0 - 7*u**2 - 1/6*u**4. Solve d(n) = 0 for n.
-2, 2
