 0 for h.
2, 8
Let g(d) = d**2 - 3054*d - 58383. Let n be g(-19). Factor 17/3*l**3 + 0 - 27*l - 21*l**2 - 1/3*l**n.
-l*(l - 9)**2*(l + 1)/3
Suppose 1358 - 1359 = d. Let o be (282/(-30) + 9)/d. Determine n, given that 6/5*n + 2/5*n**3 - 6/5*n**2 - o = 0.
1
Let c(u) be the second derivative of u**8/14280 - u**7/3570 - 2*u**6/765 + 101*u**3/6 - 276*u. Let m(w) be the second derivative of c(w). Factor m(a).
2*a**2*(a - 4)*(a + 2)/17
Factor 5*o**3 - 2803 - 2300*o**2 - 4605*o - 1827 - 2330*o.
5*(o - 463)*(o + 1)*(o + 2)
Let g(z) be the third derivative of z**7/840 + z**6/60 + 13*z**5/240 - 5*z**4/16 - 3*z**3 - 2316*z**2. Factor g(w).
(w - 2)*(w + 3)**2*(w + 4)/4
Suppose -4*o = -2*a - 230, -3*o = 2*o - 4*a - 286. Suppose o*f - 3*f**2 - 8 - 12 + f**2 - 44*f = 0. Calculate f.
2, 5
Let s(m) be the second derivative of m**5/40 - 25*m**4/24 + 8*m**3/3 + 61*m**2/2 + 27*m. Let d(c) be the first derivative of s(c). Solve d(y) = 0.
2/3, 16
Determine z so that 14756/3*z + 18470/3*z**2 - 16489/3*z**3 + 1736/3*z**4 + 2312/3 - 49/3*z**5 = 0.
-2/7, 2, 17
Suppose 0 = -14*r - 1339 + 4671. Let k be (r/(-21) + 11)/(-1). Factor 0 + 0*l**3 + 1/2*l**2 + k*l - 1/6*l**4.
-l*(l - 2)*(l + 1)**2/6
Let 3356/15*y - 3098/15*y**2 - 64/5 - 22/5*y**3 = 0. What is y?
-48, 2/33, 1
Let n(q) be the third derivative of -q**6/160 + 9*q**5/20 - 263*q**4/32 - 75*q**3/2 - 2740*q**2. Solve n(t) = 0.
-1, 12, 25
Suppose 8*g**4 + 58*g**4 - 23*g**4 - 16*g**5 + 38*g**4 + 324*g**3 - 536*g**2 - 1040*g + 288 + 35*g**4 = 0. What is g?
-2, 1/4, 2, 9
Suppose -4*t + 5 = -3*r - 1, 8 = 5*t - 4*r. Let w be (-45 + (-5360)/(-112))*(-7)/(-15). Find z, given that t - 2*z**2 - w*z = 0.
-2/3, 0
Suppose -3*p**2 + 114*p + 41422 + 942*p - 134350 = 0. Calculate p.
176
Let r(y) = -y**2 + 113*y - 2640. Let n be r(33). Let a(b) be the first derivative of -11 - 30*b - 35/2*b**2 + n*b**3 + 5/4*b**4. Factor a(q).
5*(q - 3)*(q + 1)*(q + 2)
Let t be (42/42)/((-2)/238). Let g be -1 + 0 + (-287)/t. Solve 10/17*m**4 + 36/17*m**3 - 16/17*m + 0 + g*m**2 = 0 for m.
-2, 0, 2/5
Suppose 11*f = 3*f - 16. Let m be (3 + 17*-2)*(f - -1). Factor 33*b**3 + 18*b**3 - 5*b**4 - m*b**3.
-5*b**3*(b - 4)
Let l(x) be the first derivative of -2*x**5/5 - x**4 + 2*x**3/3 - 2*x**2 - 4*x - 76. Let y(w) = -2*w**3 + w**2 - w - 1. Let o(f) = l(f) - 4*y(f). Factor o(q).
-2*q**2*(q - 1)**2
Let x(g) be the third derivative of g**8/2520 + 11*g**7/1575 + g**6/180 - 107*g**5/450 + g**4/2 - g**2 + 151*g + 3. Suppose x(v) = 0. Calculate v.
-9, -5, 0, 1, 2
Let u(q) be the second derivative of -21*q**5/20 + 49*q**4/12 - 9*q**2/2 + 14*q. Let l(m) = -10*m**3 + 24*m**2 - 4. Let j(a) = -9*l(a) + 4*u(a). Factor j(y).
2*y**2*(3*y - 10)
Factor -39/4*q**2 + 9*q - 3/8*q**4 + 27/8*q**3 + 0.
-3*q*(q - 4)*(q - 3)*(q - 2)/8
Factor 19332237 - 7*z + 4*z**3 + z**4 - 71*z**2 + 6*z**3 - 19332237 + 67*z.
z*(z - 4)*(z - 1)*(z + 15)
Let c(s) be the third derivative of -1/12*s**5 - 102*s**2 + 1/20*s**6 + 0 + 1/16*s**4 - 1/70*s**7 + 1/672*s**8 + 0*s + 0*s**3. Factor c(j).
j*(j - 3)*(j - 1)**3/2
Let o be ((-30)/20)/(9/24). Let t(g) = 6*g**3 - 8*g**2 - 8. Let d(l) = l**3 - 2. Let k(h) = o*d(h) + t(h). Solve k(z) = 0.
0, 4
Let p(l) = -17*l**2 + 15*l + 8. Let v be p(4). Let r be v/(-36) + (-48)/18. Determine m so that -48/7*m**2 - 18/7*m**r - 2/7*m**4 + 0 - 32/7*m = 0.
-4, -1, 0
Suppose -3280 = -4*s + 4*t, -5*s + 6*t = 4*t - 4112. Suppose -s*z + 8324*z + 62500 - 9*z**2 + 4*z**3 + 309*z**2 = 0. Calculate z.
-25
Let c(n) be the second derivative of 9*n**5/5 - 58*n**4 + 1010*n**3/3 - 800*n**2 + 667*n. Factor c(z).
4*(z - 16)*(3*z - 5)**2
Let x(m) be the first derivative of -m**6/120 + m**5/12 - m**4/3 + 2*m**3/3 + m**2/2 - 29*m + 69. Let g(u) be the second derivative of x(u). Factor g(v).
-(v - 2)**2*(v - 1)
Let k(v) be the first derivative of 3*v**5/35 + 15*v**4/28 - 3*v**3/7 - 39*v**2/14 + 30*v/7 + 265. Suppose k(m) = 0. What is m?
-5, -2, 1
Let b(v) be the second derivative of 0 - 1/30*v**4 - 1/25*v**5 + 2/5*v**3 + 1/150*v**6 - 19*v**2 + 49*v. Let s(m) be the first derivative of b(m). Factor s(p).
4*(p - 3)*(p - 1)*(p + 1)/5
Let l(h) be the third derivative of -h**5/180 - 47*h**4/9 + 377*h**3/18 + 57*h**2 + 2*h + 5. Factor l(q).
-(q - 1)*(q + 377)/3
Let s(o) = 263*o**2 + 779*o - 27. Let i be s(-3). Factor 24/5*f**2 + 3/5*f**i + 21/5*f + 0.
3*f*(f + 1)*(f + 7)/5
Let p be 36/(-105)*7/(-2). Let g = 30637/5 + -6127. Suppose -4/5 - g*u + p*u**2 = 0. Calculate u.
-2/3, 1
Solve 98*f - 3*f + 65*f + 1280 + 5*f**2 = 0.
-16
Let n be 365/525 - ((24/(-10))/(-4) + 0). Let t(r) be the first derivative of 8/7*r + 1 - 4/7*r**2 + n*r**3. Factor t(o).
2*(o - 2)**2/7
Let x(j) = -4*j**3 + 22*j**2 - 76*j + 30. Let l(q) = -16*q**3 + 90*q**2 - 304*q + 120. Let y(a) = -6*l(a) + 23*x(a). Find v such that y(v) = 0.
1/2, 3, 5
Let z be 3 + ((-14)/(-7) - -86). Let g be (-1)/z - (-70)/455. Factor 2/7*r + g*r**2 - 4/7*r**3 - 3/7*r**4 + 0.
-r*(r + 1)**2*(3*r - 2)/7
Let x(t) be the first derivative of -t**6/360 - 17*t**5/120 - 5*t**4/4 - 245*t**3/3 + 31. Let f(n) be the third derivative of x(n). Factor f(i).
-(i + 2)*(i + 15)
What is i in 256 - 2/3*i**3 + 130*i**2 - 1156/3*i = 0?
1, 2, 192
Let w(s) be the second derivative of 5*s**7/7 - 61*s**6/6 + 55*s**5/2 - 75*s**4/4 - 65*s**3/3 + 40*s**2 + s - 279. Suppose w(r) = 0. What is r?
-1/2, 2/3, 1, 8
Let c(q) = -2*q**3 + 12*q**2 - q + 3. Let t(w) = w**3 - 9*w**2 + 2*w - 2. Let m(u) = 16*u + 174. Let j be m(-11). Let b(v) = j*c(v) - 3*t(v). Solve b(s) = 0.
-4, 0, 1
Solve -8*b - 2/5*b**2 + 0 = 0.
-20, 0
Let a(k) = k**3 + 8*k**2 - 9*k + 2. Let j be a(-9). Let r be (-4)/10 + 44/10. Factor -8*z + r - 4*z**2 - j - 2.
-4*z*(z + 2)
Let a(t) be the first derivative of -t**6/900 + 19*t**5/300 + t**4/3 + 106*t**3/3 + 129. Let f(c) be the third derivative of a(c). Factor f(x).
-2*(x - 20)*(x + 1)/5
Let z(h) be the second derivative of 9/7*h**2 + 17/14*h**3 + 2 - h - 3/70*h**5 + 9/28*h**4. Factor z(j).
-3*(j - 6)*(j + 1)*(2*j + 1)/7
Let w = 849526 - 1662551/2. Solve -w - 207/2*r**2 + 4761/2*r + 3/2*r**3 = 0 for r.
23
Let b(p) be the first derivative of -p**7/840 + 13*p**6/180 - 10*p**3/3 + p + 11. Let s(v) be the third derivative of b(v). Factor s(r).
-r**2*(r - 26)
Let w(v) be the first derivative of 20*v - 150 + 20/3*v**3 - 85/2*v**2. Factor w(n).
5*(n - 4)*(4*n - 1)
Let l(r) = 3*r**3 + r**2 - r + 2. Let c(t) = 8*t**3 + 1320*t**2 - 2156*t - 696. Let h(v) = -c(v) + 12*l(v). What is o in h(o) = 0?
-2/7, 2, 45
Suppose 8*g + 26 = 50. Factor 3*m**2 + 3*m**5 - 10*m**g + m**3 + 59*m - 53*m + 11*m**4 - 14*m**4.
3*m*(m - 2)*(m - 1)*(m + 1)**2
Let y = -141 + 143. Determine u, given that -124*u**2 + 128*u**y + 0*u + 12*u = 0.
-3, 0
Suppose 0 = -578*b + 3676 - 450 + 242. Determine u so that 15/2*u + 3/2*u**3 + b*u**2 + 3 = 0.
-2, -1
Let a(u) = 3*u - 109. Let g be a(47). Let q be (24/g)/(135/40). Suppose -4/9*o**2 + 0 + 4/9*o**4 + 0*o - 2/9*o**3 + q*o**5 = 0. Calculate o.
-2, -1, 0, 1
Let s be (-21)/98*4/(-3). Let d = -255318 - -1787234/7. Factor -d*h - 6/7 + 8/7*h**3 + s*h**4 + 4/7*h**2.
2*(h - 1)*(h + 1)**2*(h + 3)/7
Let u(m) = -8*m**2 + m**2 + 8 + 9*m**2 - 1 + 6*m. Let s be u(-2). Factor -7*r**2 - 5*r + 3*r**2 + s*r**3 + 0*r**2 + 2.
(r - 2)*(r + 1)*(3*r - 1)
Solve -1025 - 246*p**4 + 496*p**4 - 1517 - 9609*p - 9603*p**2 - 3195*p**3 - 247*p**4 - 662 = 0.
-1, 1068
Factor -28224 - 20665*b**2 + 42000*b + 165/4*b**4 + 1/8*b**5 + 6555/2*b**3.
(b - 2)**3*(b + 168)**2/8
Let k(i) = -247*i**3 - 301*i**2 + 94*i + 178. Let u(n) = 866*n**3 + 1054*n**2 - 328*n - 624. Let f(x) = -18*k(x) - 5*u(x). Suppose f(v) = 0. What is v?
-1, 21/29
Factor -621/4*c - 3/2*c**2 + 3/4*c**3 + 972.
3*(c - 9)**2*(c + 16)/4
Let x(f) be the first derivative of f**4/2 - 70*f**3/9 - 398. Factor x(w).
2*w**2*(3*w - 35)/3
Let s(h) = 352*h**2 - 9054*h - 199. Let c(r) = 88*r**2 - 2266*r - 50. Let v(u) = 9*c(u) - 2*s(u). Factor v(k).
2*(k - 26)*(44*k + 1)
Suppose 186*m = 192*m - 18. Find f such that -5*f**2 + f + 2*f**2 - 3*f**m + 284*f**4 - 24*f**3 + 2*f - 317*f**4 - 12*f**5 = 0.
-1, 0, 1/4
Let i(o) be the third derivative of o**7/1260 + o**6/180 + o**5/60 + 9*o**4/8 - 4*o**2 - 2*o. Let k(x) be the second derivative of i(x). Factor k(d).
2*(d + 1)**2
Let u(n) be the second derivative of -n**6/6 - 41*n**5/4 - 185*n**4/3 - 1862*n. Factor