-2, 2/3, 20
Let g(c) = -17*c - 101. Let n be g(-6). Let r be (-7)/((-14)/(-8)) + 6*n. What is w in 0 + 0*w**r + 1/5*w**3 + 0*w = 0?
0
Let r(u) = -49*u**3 - 38*u**2 + 10*u - 1. Let h be r(-1). Determine i, given that h - 52/3*i - 56/3*i**3 + 2/3*i**4 + 106/3*i**2 = 0.
0, 1, 26
Let f = -381 - -386. Suppose -f*s + 9*s = 5*v - 15, s = 0. Factor 24/19*x**2 + 96/19*x + 2/19*x**v + 128/19.
2*(x + 4)**3/19
Let i(j) = 3*j**2 - 11*j + 8. Let d(k) be the first derivative of -42 - 2*k**3 + 21/2*k**2 - 15*k. Let q(g) = 5*d(g) + 9*i(g). Factor q(a).
-3*(a - 1)**2
Let v(y) be the second derivative of 5*y**7/42 + 2*y**6/3 - 35*y**4/6 - 85*y**3/6 - 15*y**2 + 2*y + 912. Determine k so that v(k) = 0.
-3, -1, 2
Let w = 4327 + -4325. Let v(o) be the third derivative of 0*o + 13*o**w + 7/3*o**3 - 2/3*o**4 + 0 + 1/30*o**5. Solve v(g) = 0.
1, 7
Let o(w) be the first derivative of -8*w**3/9 + 23*w**2/3 + 18*w + 2393. Factor o(z).
-2*(z + 1)*(4*z - 27)/3
Let r(l) be the third derivative of 0 + 78*l**2 - 6912*l**3 - 1/40*l**6 - 18/5*l**5 + 0*l - 216*l**4. Factor r(w).
-3*(w + 24)**3
Let a(f) be the second derivative of 1/18*f**4 + 0 + 675*f**2 - 203*f + 10*f**3. Factor a(p).
2*(p + 45)**2/3
Factor -330*m - 25/3*m**2 - 3267.
-(5*m + 99)**2/3
Let j(h) = -17*h - 1135. Let p be j(-67). Let k(t) be the third derivative of 2/3*t**p + 0 - 1/15*t**5 - 1/60*t**6 + 0*t**3 + 15*t**2 + 0*t. Factor k(x).
-2*x*(x - 2)*(x + 4)
Let y(g) = -3*g**2 - 125*g - 1219. Let i be y(-26). Let 0*j + 0 + 12/7*j**i - 4/7*j**4 - 8/7*j**2 = 0. Calculate j.
0, 1, 2
Let u be (-1)/(-9) + -13*6/702. Let w(c) = 2*c**2 - 10*c + 2. Let f be w(5). Factor 1/8*y**5 - 1/4*y + u - 5/8*y**f + 1/8*y**4 - 3/8*y**3.
y*(y - 2)*(y + 1)**3/8
Suppose -v - 7 = o + 1, 2*v = -5*o - 25. Let p be 181/5 - o/(-15). Find b, given that -3*b**2 - p - 9*b**3 + 36 - 3*b**5 - 9*b**4 = 0.
-1, 0
Let f be 32*((-46)/(-2) + (-5864)/256). Let -50/21*b**f + 0 + 0*b + 2/21*b**5 + 22/21*b**4 + 26/21*b**2 = 0. Calculate b.
-13, 0, 1
Let o(s) be the third derivative of -1/3*s**5 - 1/3*s**4 - 6*s + 0*s**3 - 1/42*s**7 - 11/80*s**6 - 1/672*s**8 + 0 - s**2. Factor o(m).
-m*(m + 1)**2*(m + 4)**2/2
Let q = 1603 + -1599. Suppose -50*d + 9 = -h - 46*d, 12 = q*d. Determine s so that 4/5*s + 8/5*s**2 - 1/5*s**h + 0 - 2/5*s**4 = 0.
-2, -1/2, 0, 2
Let s = 227/153 - 25/9. Let t = s + 144/85. Factor 2/15*z**2 - t - 4/15*z.
2*(z - 3)*(z + 1)/15
Suppose -13355 = -9*p - 13310. Let t(h) be the first derivative of -1/3*h**3 + 0*h**2 - 1/8*h**4 + 18 + 0*h + 1/10*h**p. Factor t(u).
u**2*(u - 2)*(u + 1)/2
Let q(y) = -14*y + 74. Let j be q(6). Let k be (j/8)/(-11 + 369/36). Factor -k*t**2 + 5*t - 10/3.
-5*(t - 2)*(t - 1)/3
Factor -17 + 74*d**2 - 19 - 62*d**2 - 141*d.
3*(d - 12)*(4*d + 1)
Let r be 15 + 73 - 45 - (0 - 20). Factor -1/7*x**2 - r + 6*x.
-(x - 21)**2/7
Solve 161/3*u - 1/6*u**2 + 0 = 0 for u.
0, 322
Let w(d) be the second derivative of -d**4/4 + 33*d**3 - 192*d**2 + 1099*d. Factor w(g).
-3*(g - 64)*(g - 2)
Let b = 2740 + -2737. Let p(c) be the first derivative of -4/5*c**3 + 9/10*c**4 + 9 - 3/25*c**5 - 9/5*c**2 + b*c. Determine z so that p(z) = 0.
-1, 1, 5
Let o be (5/2)/1*(-57)/(570/(-8)). Let 8/5*t + 1/5*t**o + 0 = 0. What is t?
-8, 0
Let j(u) = -u**2 - 326 + 5*u + 328 + 4*u. Let l be j(9). Let -4973*q + q**l + 4973*q = 0. Calculate q.
0
Let q(z) = 38*z**2 - 38 - 30*z - 13 + 15. Let v(c) = -12*c**2 + 10*c + 12. Let s(o) = -2*q(o) - 7*v(o). Factor s(t).
2*(t - 2)*(4*t + 3)
Let p(t) be the third derivative of t**6/1020 - 2*t**5/51 - 79*t**4/204 + 230*t**3/51 - 1616*t**2. Factor p(z).
2*(z - 23)*(z - 2)*(z + 5)/17
Find h, given that 900673*h**3 - 3645 + 114210*h - 248607*h**2 - 943387*h**2 - 866*h**2 + 2585683*h**3 + 666564*h**3 = 0.
9/94
Let k be (10/((-220)/6))/((-864)/8976). Factor -3 + 1/6*o**2 + k*o.
(o - 1)*(o + 18)/6
Let x(v) be the third derivative of v**7/840 + v**6/15 + v**4/4 + 2*v**3/3 + 14*v**2. Let w(u) be the second derivative of x(u). Factor w(b).
3*b*(b + 16)
Factor -133*g - 308*g**2 - 58*g - 132*g + 4*g**3 + 11*g.
4*g*(g - 78)*(g + 1)
Let b(t) be the first derivative of -5*t**4/12 + 20*t**3/3 + 50*t**2 - 50*t - 10. Let x(n) be the first derivative of b(n). Determine g so that x(g) = 0.
-2, 10
Let a be 3 + (-19)/7 + 23106/(-21). Let n be (3/12)/(a/(-544) + -2). Suppose 8/3*m**4 - n*m**3 - 26/3*m + 4/3 + 16*m**2 = 0. Calculate m.
1/4, 1, 2
Let h(k) be the third derivative of k**6/1200 + k**5/600 - 37*k**4/120 - 12*k**3/5 - 1425*k**2. Factor h(t).
(t - 9)*(t + 2)*(t + 8)/10
Let h(k) be the third derivative of -k**5/60 - 47*k**4/4 - 6627*k**3/2 - 4156*k**2. Suppose h(n) = 0. What is n?
-141
Let q(o) be the first derivative of o**6/18 + 206*o**5/15 + 1350*o**4 + 590000*o**3/9 + 4625000*o**2/3 + 12500000*o + 2232. Find t, given that q(t) = 0.
-50, -6
Let k(h) be the second derivative of -5*h + 1/4*h**4 - 3 + 0*h**3 - 9/20*h**5 + 0*h**2. Factor k(s).
-3*s**2*(3*s - 1)
Let i(g) = -2*g**2 - 9*g + 2. Let w(c) = -12*c**2 - 389*c + 1780. Let z(u) = 5*i(u) - w(u). Let z(k) = 0. Calculate k.
-177, 5
Suppose 3*d - q = -0*d - 16, 0 = 2*q - 2. Let z be d/(-4) - (-63)/84. Factor -5*y + 10*y**z - 11*y**3 - 4*y**3 - 10 + 20*y**3.
5*(y - 1)*(y + 1)*(y + 2)
Find v, given that 15*v**3 + 40/3*v**2 + 0*v + 5/3*v**4 + 0 = 0.
-8, -1, 0
Factor -2/5*p**2 - 134/5*p - 448.
-2*(p + 32)*(p + 35)/5
Let h(i) be the third derivative of 1/18*i**5 + 0*i - 32*i**2 + 0*i**3 + 0 - 1/54*i**4 - 7/540*i**6. Determine z, given that h(z) = 0.
0, 1/7, 2
Let o(s) = 17*s**2 - 1. Let l be o(1). Let b be 395/316*l/50. Solve -1/5*t**2 + 0 + b*t = 0.
0, 2
Factor -2/7*d**2 - 1412*d - 1744526.
-2*(d + 2471)**2/7
Let c(q) be the first derivative of q**6/6 - 6*q**5/5 - 113*q**4/2 + 704*q**3/3 - 711*q**2/2 + 238*q + 16060. Find t, given that c(t) = 0.
-14, 1, 17
Factor 164 - 2218/9*o + 248/3*o**2 - 2/9*o**3.
-2*(o - 369)*(o - 2)*(o - 1)/9
Factor -3/5*k**5 + 3771/5*k**4 - 240381*k**3 + 10614321/5*k**2 - 31640544/5*k + 31539456/5.
-3*(k - 624)**2*(k - 3)**3/5
Let y(b) be the third derivative of 0*b + 35*b**2 + 0 + 7/160*b**6 - 7/32*b**4 - 3/80*b**5 + 1/56*b**7 - 1/4*b**3. Suppose y(a) = 0. What is a?
-1, -2/5, 1
Factor 1/9*f**2 - 26/3*f - 27.
(f - 81)*(f + 3)/9
Let z be 403/7 - (-42 - 4785/(-87)). Suppose -z*u - 2/7*u**2 - 12168/7 = 0. What is u?
-78
Suppose z - 11 + 10 = 0, -3*l - 5*z = -26. Let m(t) be the first derivative of -2/3*t**3 + l + 0*t**2 + 2*t. Factor m(k).
-2*(k - 1)*(k + 1)
Let n(s) be the third derivative of 0*s**6 + s**3 - 2/3*s**4 + 1/5*s**5 + 0 - 1/105*s**7 - 9*s**2 + 2*s. Suppose n(p) = 0. Calculate p.
-3, 1
Let s(h) be the first derivative of -h**6/600 - 3*h**5/50 - h**4/2 + 20*h**3/3 - 7*h**2 + h - 66. Let a(z) be the second derivative of s(z). Factor a(n).
-(n - 2)*(n + 10)**2/5
Let u = 6 - 0. Suppose -y - 15 = -u*y. Factor -b**4 + 4*b - 3*b**y + b**2 - 3*b + 2*b.
-b*(b - 1)*(b + 1)*(b + 3)
Let b(n) = 2*n**2 + 173*n + 1550. Let q(p) = 3*p**2 + 265*p + 2324. Let a(y) = 8*b(y) - 5*q(y). Factor a(m).
(m + 20)*(m + 39)
Suppose -236/3*h**3 + 2/3*h**5 - 4*h**4 + 1624/3*h**2 + 1470*h - 34300/3 = 0. Calculate h.
-10, -5, 7
Let z(c) = -3*c**2 - 3369*c - 947511. Let s(d) = 9*d**2 + 10108*d + 2842540. Let r(t) = -3*s(t) - 8*z(t). Find b, given that r(b) = 0.
-562
Let k(v) be the third derivative of v**6/600 - 167*v**5/300 - 337*v**4/120 - 169*v**3/30 + 6120*v**2. Factor k(z).
(z - 169)*(z + 1)**2/5
Let m be (25 + 5 - 24) + 1/((-34)/188). Find t such that -m + 6/17*t**2 + 22/17*t = 0.
-4, 1/3
Let m = 3689 + -103269/28. Let d = 32/7 - m. Find o such that -5/2 - d*o**2 + 25/4*o = 0.
2/3, 1
Suppose -9*s = -12*s + 9. Find n such that -5727*n**3 - 59 - 46 - 520*n - 75 + 375*n**2 + 5692*n**s = 0.
-2/7, 2, 9
Suppose -9*r + 29 = 2. Factor 3*d**5 - 224*d**2 - 156*d**r + 14667*d - 32*d**4 - 14765*d - 5*d**5.
-2*d*(d + 1)**2*(d + 7)**2
Let g(o) = -o + 1. Let a(d) be the third derivative of 0*d + 0 + 1/3*d**4 + 1/30*d**5 - 5/3*d**3 - 12*d**2. Let u(r) = a(r) + 2*g(r). What is n in u(n) = 0?
-4, 1
Let l = -208361 - -1877132/9. Let i = -209 + l. Suppose 16/9*n - 26/3*n**4 + 8*n**5 + 28/9*n**2 + i - 40/9*n**3 = 0. What is n?
-1/3, -1/4, 1
Let u(v) be the second derivative of -v**5/105 + v**4/21 + 10*v**3/7 - 23*v**2 + 15*v + 7. Let m(a) be the first derivative of u(a). Factor m(f).
-4*(f - 5)*(f +