ctor p(d).
d**2*(d - 1)*(d + 1)*(d + 2)
Let k = -28585 - -28587. Solve -16/5*s**k + 0*s + 129/5*s**3 + 0 + 16/5*s**5 - 264/5*s**4 = 0.
0, 1/4, 16
Suppose 504 = 8*a + 6*a. Let u be (-420)/(-16)*a/126. Factor 21/2*t - 6*t**3 - 3 + u*t**2.
-3*(t - 2)*(t + 1)*(4*t - 1)/2
Suppose 13555*f**2 - 2350*f**2 + 4482*f**3 - 1070*f + 6743*f**3 - 10 + 4785*f + 3745*f**4 = 0. Calculate f.
-1, 2/749
Determine v so that 10540*v**2 + 245*v**5 + 9120*v**3 - 21665*v**4 - 710*v + 113*v + 2357*v = 0.
-2/7, 0, 1, 88
Let o(p) be the first derivative of p**4/4 + 37*p**3/3 + 220*p**2 + 1700*p + 1618. Factor o(c).
(c + 10)**2*(c + 17)
Determine k, given that -9/11*k**4 - 1/11*k**5 + 0 - 72/11*k - 2/11*k**3 + 84/11*k**2 = 0.
-6, 0, 1, 2
Let m(i) be the first derivative of 15 + 8/9*i + 1/18*i**2 - 8/27*i**3 - 1/36*i**4. Suppose m(p) = 0. Calculate p.
-8, -1, 1
Let v(h) = 2*h**2 - 240*h + 442. Let t(w) = 3*w - 1. Let n(i) = 6*t(i) + v(i). Find m, given that n(m) = 0.
2, 109
Let v be ((-1 + 9)*(-1 + 8/32))/(-8). Suppose 32/3*w - 35/6*w**2 + v*w**3 + 8/3 = 0. Calculate w.
-2/9, 4
Let a = 31 + -29. Factor 14*f**3 + 16 - 4*f**a - 68*f + 36*f**2 + 6*f**2.
2*(f - 1)*(f + 4)*(7*f - 2)
Factor -26825*s**2 + 19 + 8*s**4 - 19 - 29584*s + 263841*s**2 - 2753*s**3.
s*(s - 172)**2*(8*s - 1)
Let h be (94/(-10) + ((-69)/15 - -4))/((-749)/214). Factor -34/7*q - 2/7*q**3 + 16/7*q**2 + h.
-2*(q - 5)*(q - 2)*(q - 1)/7
Let o(r) = 3133*r - 40727. Let d be o(13). Solve -3174/7 + 276/7*c - 6/7*c**d = 0 for c.
23
Let b(s) be the first derivative of 0*s - 2/45*s**5 + 0*s**2 - 84 + 0*s**3 - 1/6*s**4. Factor b(d).
-2*d**3*(d + 3)/9
Let y(q) be the second derivative of q**6/30 - 37*q**5/12 + 121*q**4/36 + 61*q**3/18 + 1357*q. Factor y(d).
d*(d - 61)*(d - 1)*(3*d + 1)/3
Let t(w) be the third derivative of -w**5/20 + 249*w**4/8 - 124*w**3 - 4*w**2 - 1893*w. Factor t(l).
-3*(l - 248)*(l - 1)
Let x = -801/2 + 2405/6. Let n(j) be the second derivative of -25*j + 0*j**3 + 0*j**2 + 0 + x*j**4. Factor n(c).
4*c**2
Let g(k) be the third derivative of -9/40*k**6 - 13/5*k**5 + 0 + 0*k + 9*k**3 - 85*k**2 - 69/8*k**4. Determine i so that g(i) = 0.
-3, 2/9
Let z(a) = 36 - 5 - 2*a + 2*a - 7*a. Let o be z(4). Factor -16*d**2 + 16*d - 35*d**o + 39*d**3 + 0*d**2.
4*d*(d - 2)**2
Find s such that -513/2 + 21/4*s**2 - 771/4*s = 0.
-9/7, 38
Let t = 60 - 54. Suppose t*x - 26 = -8. Factor 5*o - o + 1 + x - 2*o**2 - 2*o.
-2*(o - 2)*(o + 1)
Let p(w) be the first derivative of -4/35*w**5 + 0*w**3 - 3/14*w**4 + 0*w + 1/21*w**6 + 0*w**2 - 64. Solve p(n) = 0.
-1, 0, 3
Let t(l) = 6*l**2 + 5*l. Let z(m) = -3*m**2 - 2*m. Suppose 13*g - 55 = -81. Let s(j) = g*t(j) - 5*z(j). Factor s(f).
3*f**2
Let b = 3/115 - -787/690. Let x(w) be the second derivative of 0 - 1/30*w**6 - 3/4*w**4 - b*w**3 + 5*w - w**2 - 1/4*w**5. Let x(j) = 0. What is j?
-2, -1
Let v(q) be the second derivative of q**4/84 - 106*q**3/21 - 213*q**2/14 + 522*q - 2. Factor v(z).
(z - 213)*(z + 1)/7
Solve -58/3*f**2 + 176/9*f - 2/9*f**3 + 0 = 0.
-88, 0, 1
Let l(p) be the first derivative of -22/39*p**3 + 5/13*p**2 - 2/65*p**5 + 0*p - 80 + 7/26*p**4. Determine a, given that l(a) = 0.
0, 1, 5
Let n(j) be the third derivative of -55*j**2 - 1/390*j**5 - 1/13*j**4 + 0*j + 0 - 9/13*j**3. Factor n(o).
-2*(o + 3)*(o + 9)/13
Solve -1/2*u**4 - 70*u + 104*u**2 + 0 - 67/2*u**3 = 0 for u.
-70, 0, 1, 2
What is i in 24*i**2 - 299*i**3 - 22*i + 24*i**2 + 96 + 295*i**3 - 48*i - 70*i = 0?
1, 3, 8
Let -154/3*n**3 + 10/3*n**4 + 226/3*n - 286/3*n**2 + 68 = 0. What is n?
-2, -3/5, 1, 17
Let k(d) be the first derivative of 10*d + 164 - 45/16*d**4 + 45/8*d**2 - 35/12*d**3 - 1/4*d**5. Let k(w) = 0. Calculate w.
-8, -1, 1
Suppose 222*a**3 - 424*a**3 - 679041 + 274*a**3 + 3*a**4 - 2394*a**2 - 86640*a = 0. What is a?
-19, 33
Let s be 5 + 54/(-9) + 4. Suppose w - 15 = 29*z - 31*z, s*w - 2*z - 5 = 0. Factor -12/5*f**4 - 6/5*f**w + 6/5*f + 0 + 0*f**3 + 12/5*f**2.
-6*f*(f - 1)*(f + 1)**3/5
Let w be 132/48 + (-36)/48. Let b(t) be the first derivative of 1/54*t**6 - 1/9*t**w + 17 - 1/12*t**4 - 5/27*t**3 + 0*t + 1/45*t**5. Factor b(j).
j*(j - 2)*(j + 1)**3/9
Let p(s) be the second derivative of 0 - 32*s - 43/36*s**4 + 2/45*s**6 + 4/15*s**5 - s**2 + 29/18*s**3. Factor p(x).
(x - 1)*(x + 6)*(2*x - 1)**2/3
Let j(z) be the first derivative of -z**6/18 - 52*z**5/15 + 9*z**4 - 7658. Find q such that j(q) = 0.
-54, 0, 2
Let i = -21/250 + 251/1500. Let h(o) be the second derivative of 1/150*o**6 - 24*o + 0*o**2 + i*o**4 + 1/15*o**3 + 1/25*o**5 + 0. Determine n so that h(n) = 0.
-2, -1, 0
Suppose 4*b + 0*b = -2*o + 8, 0 = 3*b - 3. Suppose 9*v = -o + 20. What is f in 3*f**2 - 8*f + 15*f - 9*f - 3 - 2*f**v = 0?
-1, 3
Let i(r) = 40*r**2 + 100*r + 84. Let j(w) = -w**3 + 41*w**2 + 101*w + 85. Suppose 9 = m - 5*x, 12*m - 15*m + 5*x = -17. Let s(k) = m*j(k) - 5*i(k). Factor s(z).
-4*(z + 2)**2*(z + 5)
Let v(j) be the second derivative of -j**5/70 + 4*j**4/21 + 3*j**3/7 - 2*j + 142. Factor v(c).
-2*c*(c - 9)*(c + 1)/7
Let q(j) be the third derivative of 3*j**6/40 - 8*j**5 + 209*j**4/8 - 26*j**3 - 2565*j**2. Factor q(b).
3*(b - 52)*(b - 1)*(3*b - 1)
Suppose -k - 794 = -6*p - 851, 0 = -2*k - 2*p - 12. What is n in 1568/3 + 4/3*n**k - 104/3*n**2 + 560/3*n = 0?
-2, 14
Suppose 0 = 70*i - 123 - 157. Let u = -1/13 - -35/117. Factor 2/9*j**2 - 4/9*j**3 + u*j**i + 0*j + 0.
2*j**2*(j - 1)**2/9
Let g(c) = 2*c**4 + 14*c**3 - 14*c**2 - 32*c + 28. Let b(m) = m**5 - m**3 + m**2 - 2. Let z(y) = -4*b(y) + 2*g(y). What is w in z(w) = 0?
-2, 1, 2
Let x(q) be the first derivative of 1/20*q**2 + 2/5*q + 72 - 1/40*q**4 - 2/15*q**3. Factor x(c).
-(c - 1)*(c + 1)*(c + 4)/10
Let j(a) be the second derivative of -5*a**4/12 - 785*a**3/3 - 123245*a**2/2 + a + 112. Suppose j(l) = 0. Calculate l.
-157
Let -135*q + 229*q**2 + 20*q**4 + 1369*q**3 - 1559*q**3 + 71*q**2 + 5*q**5 = 0. Calculate q.
-9, 0, 1, 3
Let c = 152497/54 + -2824. Let j(p) be the third derivative of -1/135*p**6 - 1/54*p**4 - c*p**5 + 0 - 1/945*p**7 + 0*p + 0*p**3 + 3*p**2. Factor j(q).
-2*q*(q + 1)**2*(q + 2)/9
Let b(l) be the third derivative of -25*l**8/2688 - l**7/48 + 13*l**6/320 + 19*l**5/480 + l**4/96 + 6*l**2 + l + 133. Find n, given that b(n) = 0.
-2, -1/5, 0, 1
Solve 2/15*w**3 + 0 + 158/15*w**2 - 32/3*w = 0 for w.
-80, 0, 1
Let q be (8 - (2 + 5))*((-60)/(-10) + 2)/14. Let 4/7*w**2 + 80/7 - 64/7*w + q*w**3 = 0. Calculate w.
-5, 2
Let z(t) be the third derivative of t**5/270 - 5*t**4/108 + 2*t**3/9 + 38*t**2 + 104*t. Factor z(o).
2*(o - 3)*(o - 2)/9
Let m(f) = -6*f + 2. Let l(o) = -10*o + 3. Let q(h) = -2*l(h) + 3*m(h). Let a(b) = -3*b**2 - 10*b + 3. Let y(t) = a(t) + 5*q(t). Factor y(c).
-3*(c - 1)*(c + 1)
Let b(s) be the second derivative of 3*s - 81/4*s**2 - 1/24*s**4 + 0 - 3/2*s**3. Factor b(g).
-(g + 9)**2/2
Let -5/3*k**2 + 0 + 5/3*k**4 + 15/2*k**3 - 20/3*k - 5/6*k**5 = 0. Calculate k.
-2, -1, 0, 1, 4
Let q(i) be the second derivative of 2*i**6/15 - 26*i**5/5 + 44*i**4/3 + 208*i**3/3 - 384*i**2 + 316*i. Solve q(y) = 0 for y.
-2, 2, 24
Factor -926*l - 48477 - 30697 - 114426 + 153*l - 4*l**2 - 987*l.
-4*(l + 220)**2
Let 108/7*j - 26/7*j**4 - 2/7*j**5 - 1296/7 + 6/7*j**3 + 54*j**2 = 0. Calculate j.
-12, -3, 2, 3
Let s = 73816 + -73814. What is c in 51/4*c**3 + 9/2*c + 0 + 69/4*c**s = 0?
-1, -6/17, 0
Find p, given that 14/9*p**2 - 11/9*p - 2/3*p**3 + 1/3 - 1/9*p**4 + 1/9*p**5 = 0.
-3, 1
Let q(s) = -s**2 - s + 1. Let u(n) = -15*n**2 + 10*n + 10. Let x be 1/1 - ((2 - 0) + -2). Suppose -3*v = v + 40. Let b(m) = v*q(m) + x*u(m). Factor b(j).
-5*j*(j - 4)
Let l(s) be the second derivative of -s**7/5040 + s**6/120 - 3*s**5/20 - 119*s**4/12 - 131*s. Let m(x) be the third derivative of l(x). Factor m(o).
-(o - 6)**2/2
Suppose -660 = -t + f + 4*f, 0 = 5*t + 3*f - 3412. Solve -11*w - 5*w + 0*w - 666 + 2*w**2 + t = 0.
1, 7
Let f(y) be the second derivative of -3*y**5/20 + 5115*y**4/4 - 8721075*y**3/2 + 14869432875*y**2/2 - 7074*y. Factor f(c).
-3*(c - 1705)**3
Suppose -2*m = 3*v - 3556 - 556, 5*m - 10301 = 3*v. Solve m + 1660 + 186*u - 689 + 5*u**2 - 2*u**2 - 147 = 0 for u.
-31
Let y be (((-252)/(-24))/(-21))/(-330). Let f(l) be the third derivative of 1/165*l**5 + 1/132*l**4 + 0*l + y*l**6 - 3*l**2 + 0 + 0*l**3. What is d in f(d) = 0?
-1, 0
Let u(a) be the third derivative of a**7/42 -