ive of -1/66*f**6 + 83 - 7/55*f**5 - 19/44*f**4 - 4/11*f - 8/11*f**2 - 25/33*f**3. Let c(j) = 0. Calculate j.
-2, -1
Let s(c) be the second derivative of -2*c**4/3 - c**3/2 + 8*c**2 - 42*c. Let x(g) = 4*g**2 + g - 8. Let z = -34 - -29. Let i(b) = z*x(b) - 3*s(b). Factor i(n).
4*(n - 1)*(n + 2)
Let j be ((-3)/18 - 12/18)*6176/(-7720). Determine f so that -24 + 80/3*f - 14*f**3 - 14/3*f**4 + j*f**5 + 46/3*f**2 = 0.
-2, 1, 9
Let a(r) = -r**3 + 9*r**2 - 512*r + 4034. Let k be a(8). Factor 66*f - 242/3 + 2/3*f**3 + 14*f**k.
2*(f - 1)*(f + 11)**2/3
Solve -8*c**3 - 955*c - 72*c**3 - 266057 - 80*c**4 - 5*c**5 + 266407 + 770*c**2 = 0.
-14, -5, 1
Factor -178/15*o + 12 + 2/15*o**3 - 4/15*o**2.
2*(o - 10)*(o - 1)*(o + 9)/15
Suppose 24 = 18*c - 6*c. Solve 4*h**c - h**3 + 3*h - 3*h + 6*h**2 - 12*h - 4*h = 0.
0, 2, 8
Let x = 5447 + -5444. Let u(z) be the second derivative of 4/3*z**x - 2/15*z**6 + 0*z**5 + z**4 + 0*z**2 + 0 + 20*z. Factor u(c).
-4*c*(c - 2)*(c + 1)**2
Suppose 0 = -21*o - 261 + 324. Let q(d) be the first derivative of d**2 - 2/15*d**o - 11 - 8/5*d. Factor q(k).
-2*(k - 4)*(k - 1)/5
Let u(h) = -12*h**2 - 13*h - 11. Let r(k) = k**2 + k + 1. Let v be (-74)/111 + (-2)/(-3). Suppose -6*l + 44 + 88 = v. Let y(i) = l*r(i) + 2*u(i). Factor y(z).
-2*z*(z + 2)
Let b(l) be the second derivative of -l**7/280 - l**6/15 - 10*l**3/3 - 80*l. Let t(g) be the second derivative of b(g). Factor t(r).
-3*r**2*(r + 8)
Let a be (8 + (-888)/110)*(-250)/25. Determine l, given that 0 - 1/11*l**3 + a*l - 2/11*l**2 = 0.
-4, 0, 2
Solve 0*a**2 - 3/4*a**5 + 21/2*a**4 + 0*a + 0 + 45/4*a**3 = 0 for a.
-1, 0, 15
Let l(u) be the third derivative of -u**5/80 - 551*u**4/16 - 1101*u**3/8 + 3742*u**2. Factor l(s).
-3*(s + 1)*(s + 1101)/4
Let h(m) be the third derivative of -1/42*m**7 + 2*m**2 + 115/24*m**4 + 1/24*m**6 - m + 5/4*m**5 + 25/3*m**3 + 0. Factor h(u).
-5*(u - 5)*(u + 1)**2*(u + 2)
Let b be 20826/712*2/26*20/6. What is a in -35/6*a**4 - 5/3 + b*a**2 - 25/6*a**3 + 25/6*a = 0?
-1, 2/7, 1
Determine m, given that 25920 + 5921*m + 670*m**3 - 675*m**3 - 566*m + 230*m**2 = 0.
-9, 64
Let z**3 + 4*z + 564 - 538 - 5*z - 26*z**2 = 0. What is z?
-1, 1, 26
Let g(y) = 54*y**4 + 6*y**3 - 62*y**2 - 54*y. Let u(i) = 74*i**4 + 8*i**3 - 83*i**2 - 72*i. Let f(t) = 11*g(t) - 8*u(t). Factor f(o).
2*o*(o - 3)*(o + 1)*(o + 3)
Let q(r) be the third derivative of r**5/80 + 21*r**4/32 + 45*r**3/4 + 2*r**2 - 1612. Factor q(i).
3*(i + 6)*(i + 15)/4
Let u be (-2)/4 + -19 + (-971)/(-10). Let l = u - 76. Factor l*a - 4/5*a**2 + 12/5.
-4*(a - 3)*(a + 1)/5
Suppose -3*d + 42 = 3*i, 4*i + 76 = 9*i - d. Find y, given that 82 - 2*y**2 + 18*y + 10*y**2 + 4*y**2 - 18*y**3 - 79 - i*y**4 = 0.
-1, -1/5, 1
Factor -340*n - 356*n + 38*n**2 + 708*n + 6*n**3.
2*n*(n + 6)*(3*n + 1)
Let p(u) be the first derivative of u**4/96 + 5*u**3/48 + u**2/4 + 77*u + 98. Let c(l) be the first derivative of p(l). Suppose c(z) = 0. What is z?
-4, -1
Let o(p) = -29*p**2 - 19*p - 36. Suppose 16 = -15*l + 181. Let g(f) = -54*f**2 - 39*f - 71. Let c(d) = l*o(d) - 6*g(d). Factor c(b).
5*(b + 2)*(b + 3)
Let k(t) be the third derivative of 0*t - 27/14*t**3 - 3*t**2 + 3/28*t**4 + 1 - 1/420*t**5. Factor k(y).
-(y - 9)**2/7
Let k(u) be the second derivative of -u**5/12 - 5*u**4/24 - 31*u**2 + 21*u. Let f(y) be the first derivative of k(y). Factor f(m).
-5*m*(m + 1)
Let y(u) be the first derivative of u**3/15 - u**2 - 56*u/5 + 6593. Factor y(p).
(p - 14)*(p + 4)/5
Factor -570528*r - 590274*r**3 - 36*r**4 - 140608 - 78432*r - 73632*r**2 + 587458*r**3.
-4*(r + 26)**3*(9*r + 2)
Let p(u) be the third derivative of -u**6/240 - u**5/24 + u**4/6 + 4*u**3 + 379*u**2 - 4. Let p(o) = 0. Calculate o.
-4, 3
Let v(x) be the second derivative of -x**7/42 + x**6/6 + 27*x**5/10 + 61*x**4/6 + 107*x**3/6 + 33*x**2/2 - 5895*x. Solve v(z) = 0.
-3, -1, 11
Suppose -87*q = -91*q - 128. Let p be (-48)/q*(-6)/(-7). Let -3/7*j**4 + 0 + 3/7*j**5 + 15/7*j**2 - p*j**3 - 6/7*j = 0. What is j?
-2, 0, 1
Let i be (((-8)/2)/280)/1*35/(-10). Let a(g) be the second derivative of i*g**5 - 2/3*g**3 - 14*g + 0*g**2 + 0 - 1/4*g**4. Suppose a(h) = 0. What is h?
-1, 0, 4
Let p(y) = -15*y**3 - 2*y**2 + y - 3. Let q(u) = 61*u**3 - 53*u**2 + 227*u - 159. Let x(f) = -4*p(f) - q(f). Factor x(g).
-(g - 57)*(g - 3)*(g - 1)
Let q(a) = a**4 + a**2 + 7*a + 1. Let y(i) = -12*i**4 - 28*i**3 + 33*i**2 + 3283*i - 14411. Let w(o) = 22*q(o) + 2*y(o). Factor w(p).
-2*(p - 6)**2*(p + 20)**2
Suppose 2*c = 10, 0 = -3*f + 4*f + 5*c - 48. Suppose -21*t + 14*t**4 - f*t - 10*t**4 + 26*t**2 - 4*t - 32*t**3 + 50*t**2 = 0. What is t?
0, 1, 3, 4
Let v(z) be the first derivative of -28*z**3/9 + 524*z**2/3 + 608*z/3 - 99. Factor v(t).
-4*(t - 38)*(7*t + 4)/3
Let i(v) be the second derivative of v**7/168 + v**6/10 + v**5/8 - v**4/4 - 11*v**3/24 + 2526*v. Suppose i(s) = 0. What is s?
-11, -1, 0, 1
Let o(f) be the third derivative of -f**7/1155 + 491*f**6/165 - 241081*f**5/55 + 118370771*f**4/33 - 58120048561*f**3/33 - 4*f**2 + 30. Factor o(l).
-2*(l - 491)**4/11
Let u(i) be the first derivative of -i**6/40 - 3*i**5/80 + i**4/4 + i**3/2 + 174*i + 61. Let j(a) be the first derivative of u(a). What is w in j(w) = 0?
-2, -1, 0, 2
Let t(p) be the third derivative of p**6/120 - 7*p**5/60 + 11*p**4/24 - p**3/2 + 114*p**2 + p. Let l be t(5). Factor -8/7*q - 8/7 + 6/7*q**l.
2*(q - 2)*(3*q + 2)/7
Let o(m) be the third derivative of m**7/105 + 43*m**6/90 + 1669*m**5/270 - 215*m**4/9 + 100*m**3/3 + 779*m**2. Factor o(y).
2*(y + 15)**2*(3*y - 2)**2/9
Let q(j) be the first derivative of 0*j**3 + 0*j - 1/8*j**2 + 1/8*j**4 - 78 - 1/24*j**6 + 0*j**5. Let q(p) = 0. Calculate p.
-1, 0, 1
Let a(k) be the second derivative of k**5/20 + 13*k**4/12 - 5*k**3 + 36*k + 1. Let d be a(-15). Determine i so that 6*i**2 + d - 9/4*i - 4*i**3 = 0.
0, 3/4
Let u(z) = -z**3 + 19*z**2 - 18*z + 2. Let s be u(18). Factor -6*m**2 + 7*m**s + 4*m - 2 + 3*m**2 + 2.
4*m*(m + 1)
Let t(o) = 2*o**2 + 2*o - 13. Let r(s) = 27*s**2 + 35*s - 174. Let l(q) = -r(q) + 14*t(q). Factor l(f).
(f - 8)*(f + 1)
Let w(t) be the first derivative of t**6/180 + 9*t**5/80 + 3*t**4/8 + 32*t**3/3 + 180. Let z(h) be the third derivative of w(h). Suppose z(i) = 0. What is i?
-6, -3/4
Let c(y) be the second derivative of 5*y**4/8 + 925*y**3/12 - 155*y**2/2 - 1345*y. Let c(z) = 0. Calculate z.
-62, 1/3
Factor 1206/7*d**2 + 2/7*d**4 + 1202/7*d + 58*d**3 + 400/7.
2*(d + 1)**3*(d + 200)/7
Let 44/3*q + 1/3*q**2 + 41 = 0. What is q?
-41, -3
Let a(c) = 3*c**4 + 42*c**3 + 55*c**2 - 100*c + 8. Let b(p) = -2*p**4 - 28*p**3 - 37*p**2 + 67*p - 5. Let w(d) = -5*a(d) - 8*b(d). Factor w(q).
q*(q - 1)*(q + 3)*(q + 12)
Let q(j) be the second derivative of 126*j + 0 + 5/9*j**4 + 35/36*j**3 - 5/12*j**2. Factor q(z).
5*(z + 1)*(8*z - 1)/6
Let r(q) be the third derivative of -60*q**2 + 1/24*q**6 + 1/4*q**5 + 5/12*q**4 + 0*q**3 + 0 + 0*q. Determine p so that r(p) = 0.
-2, -1, 0
Determine s, given that 6*s + 274*s**3 + 105114*s**2 - 21*s**4 - 32*s - 105125*s**2 = 0.
-2/7, 0, 1/3, 13
Let y be (-6)/46 + 88179/91494. Factor 0*j**2 + 0 - y*j**3 + 0*j.
-5*j**3/6
Let p = -217 + 217. Suppose -8*f - 3 + 19 = p. Factor 1/4*j - 1/4*j**f + 1/2.
-(j - 2)*(j + 1)/4
Let p(l) be the first derivative of -l**6/40 - 3*l**5/5 - 9*l**4/2 + 127*l**2/2 + 133. Let j(n) be the second derivative of p(n). Find a such that j(a) = 0.
-6, 0
Solve -1/7*v**2 + 100/7 - 15/7*v = 0 for v.
-20, 5
Let a(f) = 288*f**2 + 219*f - 947. Let v(i) = -133*i**2 - 110*i + 474. Let b(c) = 6*a(c) + 13*v(c). Solve b(q) = 0.
-120, 4
Let k = 7501761/4 + -1875437. Factor -k*o**2 + 1 + 5/4*o**3 + o.
(o - 2)*(o - 1)*(5*o + 2)/4
Let k = 1299 + -1295. Let q be 2*(54/(-16) + k). Factor q*h**2 - 1/2*h**3 + 1/4 - h.
-(h - 1)**2*(2*h - 1)/4
Let o(k) be the first derivative of -7*k**4/8 - 4*k**3 - 9*k**2/4 - 1159. Suppose o(f) = 0. Calculate f.
-3, -3/7, 0
Suppose -3*w + 7*w = x - 19, 4*x + 29 = -5*w. Let s be (26/325)/(x/(-10)). Solve 12/5 + 16/5*r + s*r**2 = 0.
-3, -1
Let 2*q**4 + 4758*q - 4758*q - 40*q**3 = 0. Calculate q.
0, 20
Let q(h) = -h**3 + 10*h**2 + 18*h - 101. Let c be q(10). Suppose c*x - 154 = 2*x. Let -6/13 + 8/13*v**x + 2/13*v = 0. Calculate v.
-1, 3/4
Let b(r) be the first derivative of -r**5/20 + 9*r**4/4 - 32*r**3/3 - 10327. Solve b(m) = 0.
0, 