ctor t(z).
2*z*(z - 4)*(z - 1)**2*(z + 5)
Let r be ((-6748)/280 + 24)*-30. Solve 0*k - 5/3*k**4 + 10/3*k**2 - 5/3*k**r + 0 = 0.
-2, 0, 1
Let o(w) be the second derivative of -243*w**7/560 + 9*w**6/80 - w**5/80 + w**4/6 - 10*w**3/3 - 95*w + 2. Let s(l) be the third derivative of o(l). Factor s(t).
-3*(27*t - 1)**2/2
Let n = -71962 - -359814/5. Find u, given that -8*u**3 + 0 + n*u**4 + 68/5*u**2 - 32/5*u = 0.
0, 1, 8
Let a(y) be the first derivative of y**4/32 + 43*y**3/8 + 495*y**2/2 - 3267*y/2 - 761. Factor a(r).
(r - 3)*(r + 66)**2/8
Factor 1/4*x**2 + 42849/4 + 207/2*x.
(x + 207)**2/4
Let h(g) be the first derivative of 1/36*g**4 - 11*g - 35 - 10/9*g**3 + 50/3*g**2. Let y(x) be the first derivative of h(x). Factor y(f).
(f - 10)**2/3
Suppose -3*r + 5*q = 15, -5*r - 55 = 3*q + 4. Let f be (r - -7)/((-24)/18). Suppose 1/2 + f*s - 5/4*s**2 = 0. What is s?
-1/5, 2
Suppose -4*a = 4*s - 8326 + 2218, 3*a - 4575 = -5*s. Let i = 1530 - a. Factor -1/6*l**2 + i - 1/6*l.
-l*(l + 1)/6
Solve 200/7*u**2 + 2/7*u**5 - 20*u**3 - 8/7*u**4 + 0 + 2250/7*u = 0 for u.
-5, 0, 5, 9
Let w(a) be the first derivative of -2 + 7/30*a**5 + 0*a**2 + 0*a + 1/36*a**6 + 5/18*a**3 + 11/24*a**4. Factor w(u).
u**2*(u + 1)**2*(u + 5)/6
Let t = -328 + 359. Find h, given that -6*h**2 + 38*h**2 - 109*h - 98 + 158*h**3 - t*h + 50*h**4 + 16*h**2 - 18*h**3 = 0.
-7/5, -1, 1
Let i(a) be the second derivative of a**7/273 - 11*a**6/195 + 27*a**5/130 + 35*a**4/78 - 112*a**3/39 + 60*a**2/13 - 2*a - 2813. Let i(s) = 0. What is s?
-2, 1, 5, 6
Let p(r) = r**2 - 53*r + 152. Let u be p(50). Solve 27*g - 40 - 5 + 316*g**u - 317*g**2 + 28*g - 9 = 0 for g.
1, 54
Let h(l) be the first derivative of l**3/3 - 11*l**2/2 - 22*l - 16. Let j be h(13). Factor -41*v**3 - v**5 + 6*v**3 + 15*v**2 - j*v**5 + 25*v**4 + 0*v**5.
-5*v**2*(v - 3)*(v - 1)**2
Suppose 3*l + 3 = 4*k, -4*k - l = -2*k + 11. Let r be (120/55)/k*(-2)/8. Factor 4/11 - 2/11*u**4 - r*u**3 + 6/11*u**2 + 10/11*u.
-2*(u - 2)*(u + 1)**3/11
Let t be (1 + 0)*(8/2 - 1). Factor -32*f**2 + 14*f**2 + 4*f**t + 2*f**2 - 16*f + 4*f**4.
4*f*(f - 2)*(f + 1)*(f + 2)
Let j(p) be the third derivative of p**8/2520 - p**7/525 - 13*p**6/900 + 7*p**5/450 + p**4/5 + 4*p**3/9 + 2640*p**2. What is k in j(k) = 0?
-2, -1, 2, 5
Let m(f) = f**3 + f**2 + f + 1. Let l(p) = -p**5 - 14*p**4 - 48*p**3 - 11*p**2 + 71*p - 1. Let o(a) = -5*l(a) - 5*m(a). Solve o(i) = 0 for i.
-9, -4, -2, 0, 1
Let a = 263/114 - 46/57. Suppose 3*j = 2*j + 4. Determine q so that 2*q - a*q**2 + 0*q**3 + 1/4*q**j - 3/4 = 0.
-3, 1
Factor -1/6*m**3 + 8/3 - 8/3*m**2 + 1/6*m.
-(m - 1)*(m + 1)*(m + 16)/6
Let l(n) = n**3 + 6*n**2 + 3*n + 4. Let w be l(-4). Let k(x) be the first derivative of -11 + 21 - 12 - 2*x**3 + x**3 - 192*x - w*x**2. Let k(g) = 0. What is g?
-8
Let n(p) be the first derivative of 5*p**4/4 + 430*p**3/3 + 6125*p**2/2 - 144060*p + 4987. Factor n(o).
5*(o - 12)*(o + 49)**2
Let p(n) be the third derivative of 5/6*n**5 - 1/5*n**6 - 1/2*n**4 + 0*n**3 - 1/15*n**7 - 33*n**2 + 0*n + 0. Factor p(w).
-2*w*(w - 1)*(w + 3)*(7*w - 2)
Let a = -4228 + 12685/3. Let s(d) be the second derivative of 0*d**2 + 0 + 2/3*d**3 + 3*d - a*d**4. Factor s(y).
-4*y*(y - 1)
Let v(i) = 14*i**3 + 38*i**2 - 1378*i - 23822. Let n(q) = 25*q**3 + 74*q**2 - 2758*q - 47642. Let o(x) = -4*n(x) + 7*v(x). Find z such that o(z) = 0.
-21, 27
Let a be 5*((-3454)/880 + (-2 - (-2 + -4))). Factor -a - 3/8*p**3 - 9/8*p**2 - 9/8*p.
-3*(p + 1)**3/8
Let x(j) be the second derivative of -62*j + 0 - 20*j**2 - 38/3*j**3 + 2/3*j**4. Suppose x(t) = 0. What is t?
-1/2, 10
Let i(d) be the first derivative of 9/20*d**5 + 10/3*d**3 + 15 - 9/4*d**4 - 7*d - 2*d**2. Let x(l) be the first derivative of i(l). Factor x(c).
(c - 2)*(3*c - 2)*(3*c - 1)
Factor -361*u**3 + 5996*u**2 - 25841*u**2 - 115*u**3 - 5*u**4 + 51*u**3 - 205*u**3.
-5*u**2*(u + 63)**2
Let o(x) be the first derivative of x**4/8 + 25*x**3/3 - 53*x**2/4 - 51*x - 872. Factor o(r).
(r - 2)*(r + 1)*(r + 51)/2
Let j(t) be the first derivative of 0*t + 0*t**3 - 1/15*t**5 - 1/2*t**4 - t**2 - 6. Let f(l) be the second derivative of j(l). Factor f(u).
-4*u*(u + 3)
Suppose j - 24 = -11*j. Suppose -4*n - j*h = -h - 4, 2*n - 2*h = 12. Find w such that -8/3*w**n - 2/3*w**3 - 2*w + 0 = 0.
-3, -1, 0
Let -1/2*z**3 + 6 - 3*z**2 - 5/2*z = 0. Calculate z.
-4, -3, 1
Let m be (-33 - -53)*27/6. Factor -80 - 119*g - 46*g + 276*g**3 - m*g**2 - 281*g**3.
-5*(g + 1)**2*(g + 16)
Let b be 11/(660/(-320)) - (-8 - 8). What is n in 4/9*n**3 + b*n - 4*n**2 - 64/9 = 0?
1, 4
Let y(t) be the first derivative of -4*t**6/15 + 52*t**5/25 - 24*t**4/5 + 12*t**3/5 + 1307. Determine i, given that y(i) = 0.
0, 1/2, 3
Let z(k) be the second derivative of k**6/3 + 477*k**5/10 - 380*k**4 + 2012*k**3/3 + 1200*k**2 + 1406*k. Solve z(i) = 0.
-100, -2/5, 2, 3
Let x be (8/(-10))/(-1) + 105 + 365607/(-3465). Factor 18/7*z - 4 - x*z**2.
-2*(z - 7)*(z - 2)/7
Let h = 134 - 136. Let g(f) = -f**2 - 44*f - 623. Let b(i) = -i**2 - 41*i - 622. Let s(j) = h*b(j) + 3*g(j). Determine z so that s(z) = 0.
-25
Let f(s) be the first derivative of -95/3*s**3 + 330*s**2 - 180*s - 26 - 35/4*s**4. Suppose f(m) = 0. Calculate m.
-6, 2/7, 3
Let f(i) be the second derivative of -i**6/40 - i**5/5 - i**4/2 - 18*i**2 - 127*i. Let g(j) be the first derivative of f(j). Solve g(l) = 0 for l.
-2, 0
Let s(y) be the third derivative of 1/90*y**5 - 1/360*y**6 + 1/9*y**4 - 275*y**2 + 0*y**3 + 0*y + 0. What is r in s(r) = 0?
-2, 0, 4
Let k = 3/306749 + 613477/2147243. Let 0 - k*c**2 + 16/7*c = 0. Calculate c.
0, 8
Let f = -147548 + 1032852/7. Solve 58/7*w**2 + f*w - 10/7*w**5 - 34/7*w**4 - 24/7 - 6/7*w**3 = 0.
-2, -1, 3/5, 1
Let m be (-8 - -10) + -2 + 11860/14. Let a = 850 - m. Factor -4/7*y + 0 - 16/7*y**3 - a*y**2.
-4*y*(y + 1)*(4*y + 1)/7
Let j = 164557/42 + -3918. Let y(b) be the third derivative of 1/7*b**3 - b**2 + 0*b + 0 + j*b**4 - 1/210*b**5. Let y(r) = 0. What is r?
-1, 3
Let p(w) be the second derivative of -2*w**7/315 - 11*w**6/60 - 4*w**5/15 - 25*w**4/4 + 4*w + 2. Let h(l) be the third derivative of p(l). Factor h(f).
-4*(f + 8)*(4*f + 1)
Let z(m) be the first derivative of m**5 + 155*m**4/2 + 1980*m**3 + 12100*m**2 - 212960*m + 7054. Factor z(r).
5*(r - 4)*(r + 22)**3
Let b(w) be the third derivative of 0*w + 1/1155*w**7 + 3*w**2 - 1/22*w**4 + 0*w**3 - 1/165*w**6 - 1/30*w**5 + 18. Factor b(y).
2*y*(y - 6)*(y + 1)**2/11
Suppose 4*l + 13 - 15 = c, -4*c = -5*l - 14. Let p be ((15/c)/5)/((-27)/(-108)). Factor 1/5*b**3 - 3/5*b**5 + 0*b + 2/5*b**4 + 0*b**p + 0.
-b**3*(b - 1)*(3*b + 1)/5
Let u be (0 - 35/15)/(1/87). Let h = u - -207. Determine i so that -2/3*i**3 - 5/3*i**h + 10/3*i**2 - 5/3 + 1/3*i + 1/3*i**5 = 0.
-1, 1, 5
Let i(o) be the second derivative of -o**4/84 - 814*o**3/21 - 331298*o**2/7 + 259*o. Factor i(a).
-(a + 814)**2/7
Find u such that 38 + u**4 - 101/4*u**3 + 513/4*u**2 - 365/2*u = 0.
1/4, 2, 4, 19
Suppose 2 - 2 = -1097*n + 179*n. Suppose -2*f = -4*v - 28, -3*f + 2*v + 6 = -4*f. Let 6/11*b**f - 6/11*b**2 + n - 6/11*b + 6/11*b**3 = 0. Calculate b.
-1, 0, 1
Let d(z) = -z**5 - 53*z**4 + 173*z**3 - 14*z**2 - 817*z + 979. Let o(a) = 27*a**4 - 87*a**3 + 6*a**2 + 408*a - 489. Let h(u) = 3*d(u) + 7*o(u). Factor h(w).
-3*(w - 3)**4*(w + 2)
Suppose 4*w + 8*a + 37 = 17*a, w = 2*a - 8. Determine d, given that -900*d + 210*d**w - 44/3*d**3 - 1125 + 1/3*d**4 = 0.
-1, 15
Let h(m) be the third derivative of m**6/30 + 29*m**5/90 + 11*m**4/9 + 20*m**3/9 - 1896*m**2. Factor h(v).
2*(v + 2)**2*(6*v + 5)/3
Let x(t) be the first derivative of 2/45*t**3 + 0*t + 4/15*t**2 - 58. Solve x(n) = 0.
-4, 0
Let k(q) = -20*q + 48 - 12 - 18*q**2 + 2*q**2. Let g be -5*(-36)/225*25. Let m(o) = o**2 - 1. Let s(u) = g*m(u) + k(u). Let s(x) = 0. What is x?
1, 4
Solve -68/13*t**3 - 192/13*t**2 - 62/13 - 2/13*t**4 - 188/13*t = 0.
-31, -1
Let p(a) be the first derivative of 0*a + 3/2*a**2 - 143 + a**3. Factor p(n).
3*n*(n + 1)
Let j be (-11340)/(-504)*(-3 - -2)/(-10)*4. Solve -2*b - j + 1/3*b**2 = 0.
-3, 9
Suppose -12*r = -9*r - 9. Suppose 37*j**2 + 80 + 0*j**2 - 130*j + 14*j**2 + 4*j**2 - 5*j**r = 0. Calculate j.
1, 2, 8
Let n(z) be the third derivative of -3/2*z**4 - 1/30*z**6 - z**2 + 21 + 0*z - 2/5*z**5 - 8/3*z**3. Let n(v) = 0. What is v?
-4, -1
Let z(t) be the third derivative 