(a + 6)**2*(9*a + 1)
Let j be -3*12/(-16) - (-6)/(-24). Factor -24*a - 13*a - a - 2*a**3 + 21 - 26*a**j + 45 + 0*a.
-2*(a - 1)*(a + 3)*(a + 11)
Factor 10/3*w**3 + 18 + 167/3*w**2 - 77*w.
(w - 1)*(w + 18)*(10*w - 3)/3
Let f = 10779/310 + 9/310. Factor 318/5*q**2 - 51*q + 15 + 39/5*q**4 - 3/5*q**5 - f*q**3.
-3*(q - 5)**2*(q - 1)**3/5
Suppose -12*d + 2*w + 32 = -8*d, 2*w = 2*d - 16. Find c such that 15*c**2 - 5*c**2 - 185*c**4 + 95*c**4 + d*c**3 + 88*c**4 = 0.
-1, 0, 5
Let w(u) be the second derivative of -u**3 + 23/2*u**4 + 1 + 0*u**2 - 1587/40*u**5 - 10*u. Factor w(l).
-3*l*(23*l - 2)**2/2
Let v(f) be the second derivative of f**7/42 + 33*f**6/10 + 77*f**5/4 + 159*f**4/4 + 95*f**3/3 - 95*f - 5. Factor v(r).
r*(r + 1)**2*(r + 2)*(r + 95)
Suppose -25 = j + 21 - 46. Let v(d) be the second derivative of 5*d + 0 + 2/55*d**6 - 1/110*d**5 + 0*d**2 + j*d**3 - 1/66*d**4. Solve v(c) = 0.
-1/3, 0, 1/2
Let j(r) = 2*r**4 - r**3 - 3*r. Let p(z) = -z**3 + z. Suppose 3*t - 3 = -6. Let w(d) = t*j(d) - 3*p(d). Factor w(a).
-2*a**3*(a - 2)
Let l(y) = -23*y**3 - 18*y**2 + 53*y + 256. Let g(x) = 64*x**3 + 54*x**2 - 160*x - 767. Let j(a) = 4*g(a) + 11*l(a). Factor j(z).
3*(z - 4)*(z + 3)*(z + 7)
Find r, given that 4*r**2 + 44*r - 74*r + 86*r + 19*r**2 - 80 + r**3 = 0.
-20, -4, 1
Suppose 0 = 5*m - 8*m + 552. Determine j, given that 2*j**4 + m*j**5 - 179*j**5 + 23*j**4 = 0.
-5, 0
Let s = 68273619 - 577526553843/8459. Let o = 4/769 - s. What is y in 0 + 4/11*y - o*y**2 = 0?
0, 2/7
Let b(i) be the first derivative of 5*i**6/3 - 154*i**5/5 + 295*i**4/2 - 62*i**3/3 - 300*i**2 + 216*i - 4317. Find s such that b(s) = 0.
-1, 2/5, 1, 6, 9
Let p(c) be the third derivative of c**7/490 + 49*c**6/40 + 14961*c**5/70 + 21845*c**4/14 + 28900*c**3/7 + 716*c**2 + 2. Find b, given that p(b) = 0.
-170, -2, -1
Let r(y) be the second derivative of -13/60*y**6 - 2/3*y**3 - 11/6*y**4 + 0*y**2 + 0 - 3*y + 5/4*y**5. Factor r(x).
-x*(x - 2)**2*(13*x + 2)/2
Determine y, given that 102*y**3 - 3/2*y**4 + 294*y - 195/2 - 297*y**2 = 0.
1, 65
Let f(w) be the first derivative of -5*w**9/3024 - w**8/168 - 6*w**3 - 2*w - 105. Let m(u) be the third derivative of f(u). Suppose m(p) = 0. What is p?
-2, 0
Let a(s) = -5*s**5 - s**4 - 3*s**2 - s. Let f(z) = 104*z**5 - 132*z**4 + 2080*z**3 - 12652*z**2 + 32752*z - 21952. Let o(j) = -20*a(j) - f(j). Factor o(i).
-4*(i - 16)*(i - 7)**3*(i - 1)
Let a(b) be the first derivative of -2*b**3/69 - 250*b**2/23 - 31250*b/23 + 1421. Factor a(l).
-2*(l + 125)**2/23
Let x(j) = 5*j**5 - 15*j**4 + 61*j**3 - 139*j**2 + 136*j - 48. Let d(a) = -2*a**5 + a**4 + a**3. Let b(f) = 2*d(f) + x(f). Determine v so that b(v) = 0.
1, 3, 4
Let l(z) = 10*z + 131. Let f be l(-9). Factor 46*q + 5*q**3 - 92*q + f*q.
5*q*(q - 1)*(q + 1)
Let u be (-8)/(-70)*(-343)/(-98). Factor 0 - u*z + 7/5*z**2 - z**3.
-z*(z - 1)*(5*z - 2)/5
Let h(g) be the second derivative of -1/8*g**5 + 5/12*g**4 + 0*g**2 - 1/24*g**6 + 5/3*g**3 - 109*g + 0. Factor h(n).
-5*n*(n - 2)*(n + 2)**2/4
Let m(h) be the second derivative of -h**6/30 - 7*h**5/15 + h**4/6 + 14*h**3/3 - 3*h**2 - 70*h. Let f(u) be the first derivative of m(u). Solve f(d) = 0.
-7, -1, 1
Let o(v) = v**3 + 12*v**2 - v - 12. Let i be o(-12). Suppose 80 = 3*n - 5*w, -56 = -2*n - i*n + 4*w. Factor 0*t**2 + n*t - 4*t**2 - 15 - 1.
-4*(t - 4)*(t - 1)
Suppose 3*a + 40 = -5*x, x = 5*a - 0*x - 8. Factor a + 3*b - 3/8*b**2.
-3*b*(b - 8)/8
Let f(b) be the first derivative of 0*b + 1/30*b**5 - 5/18*b**3 + 1/6*b**2 - 1/36*b**6 + 1/8*b**4 - 38. Find z such that f(z) = 0.
-2, 0, 1
Solve 60*d**2 + 34/3*d**3 + 72*d - 144 + 2/3*d**4 = 0.
-6, 1
Factor 8*s + 0 - 2/3*s**3 - 2/3*s**2.
-2*s*(s - 3)*(s + 4)/3
Let x(p) be the second derivative of -p**6/3 + 17*p**5/5 - 27*p**4/2 + 80*p**3/3 - 28*p**2 + 3436*p. Let x(n) = 0. Calculate n.
1, 2, 14/5
Let w(h) be the second derivative of h**7/98 - h**6/42 - 41*h**5/140 + 101*h**4/84 - 17*h**3/21 - 12*h**2/7 - 73*h - 11. What is j in w(j) = 0?
-4, -1/3, 1, 2, 3
Let x(f) be the second derivative of f**7/28 + f**6/20 - 81*f**5/40 + 23*f**4/8 + 13*f**3/2 - 18*f**2 - 2*f + 1902. Find o, given that x(o) = 0.
-6, -1, 1, 4
Let u(g) be the first derivative of -g**7/14 + 2*g**6/15 + g**5/20 - g**4/6 + 7*g + 10. Let r(c) be the first derivative of u(c). Factor r(w).
-w**2*(w - 1)**2*(3*w + 2)
Let w(q) be the second derivative of 4 - 20/21*q**3 + 3*q**2 - 6*q - 1/42*q**4. Let w(r) = 0. Calculate r.
-21, 1
Suppose -1391 + 12270 = 11*v. Let k = v + -986. Factor 0 + 9*w + 1/4*w**3 + k*w**2.
w*(w + 6)**2/4
Let q(z) = z - 1. Let r(u) = -133563*u**2 + 2534*u - 14. Let o = 850 - 852. Let k(l) = o*q(l) + r(l). Factor k(t).
-3*(211*t - 2)**2
Let r(y) be the third derivative of y**5/60 + 25*y**4/24 - 14*y**3 - 142*y**2 + 4. Factor r(b).
(b - 3)*(b + 28)
Let h(v) be the second derivative of -v**7/7 - 17*v**6/10 + 57*v**5/20 + 297*v**4/4 + 243*v**3/2 - 810*v**2 - 3*v + 330. Let h(l) = 0. Calculate l.
-15/2, -3, 1, 4
Let k = 575359/3 - 191786. Factor -40/3*p**3 + 182*p**2 - 2704/3*p + 2197/3 + k*p**4.
(p - 13)**3*(p - 1)/3
Suppose a = 3*h - 3, 2*a + 2*h - 8 - 10 = 0. Let y(w) be the first derivative of -1/6*w**2 + 0*w - 8/9*w**3 - 77/48*w**4 - 49/60*w**5 + a. Factor y(k).
-k*(k + 1)*(7*k + 2)**2/12
Let u(h) = -2*h**2 - 7*h - 137. Let r(q) = -5*q**2 - 22*q - 405. Let s(c) = 3*r(c) - 8*u(c). Let s(t) = 0. Calculate t.
-7, 17
Let v(r) = r + 9. Let x be v(-18). Let z = 12 + x. Determine g, given that 0 + 8 - 10*g**z + 10*g + 7 + 0*g**3 + 5*g**4 - 20*g**2 = 0.
-1, 1, 3
Let c(p) be the third derivative of p**5/360 - 3*p**4/16 - 437*p**3/18 + 53*p**2 + 26*p + 1. Let c(x) = 0. What is x?
-19, 46
Suppose 65 = 14*x + 37. Suppose 3*g**x - 4*g - 3*g**3 + 1 + 19*g + 3 + 5 = 0. Calculate g.
-1, 3
Let t(q) be the third derivative of -11*q**7/210 + 263*q**6/480 - 87*q**5/40 + 85*q**4/24 + q**3/3 + 5*q**2 + 32*q + 4. Factor t(y).
-(y - 2)**3*(44*y + 1)/4
Let g be ((-21482)/460 + 46)*15/(-14)*1. Solve 6*z + g*z**2 + 0 = 0.
-8, 0
Determine f so that 0 + 178/9*f**2 - 20*f**3 + 0*f + 2/9*f**4 = 0.
0, 1, 89
Let m(z) = z**2 + 14*z - 12. Let g be m(-16). Suppose -12 = 4*w - g. Solve -t**2 + 5*t**2 - w*t**2 = 0.
0
Let r(f) be the second derivative of -f**4/6 + 235*f**3/3 + 887*f + 1. Solve r(o) = 0.
0, 235
Let v(c) be the first derivative of 2*c**5/25 + 20*c**4 - 404*c**3/5 + 608*c**2/5 - 406*c/5 + 656. Let v(d) = 0. Calculate d.
-203, 1
Let x(q) = 5*q**2 + 5*q - 5. Let w be x(1). Suppose -2*v - 20 = 5*k, v - w*k + 10*k + 20 = 0. Solve -6/7*a**2 + 2/7*a + v + 6/7*a**3 - 2/7*a**4 = 0 for a.
0, 1
Suppose -242*d + 54 = -224*d. Let t(j) be the second derivative of 2*j + 5/2*j**2 - 25/6*j**d + 0 + 5/3*j**4. Let t(z) = 0. Calculate z.
1/4, 1
Let z(h) be the third derivative of -h**7/210 + 11*h**5/60 - 3*h**4/4 + 4*h**3/3 + 9*h**2 + 56*h. Factor z(j).
-(j - 2)*(j - 1)**2*(j + 4)
Let i = -17882/3 - -5961. Let v(u) be the third derivative of 5*u**2 - i*u**4 + 0*u**3 + 0 + 1/60*u**6 + 0*u + 0*u**5. Factor v(j).
2*j*(j - 2)*(j + 2)
Let b(p) be the third derivative of -9/22*p**4 - 2*p**2 - 1/330*p**5 - 243/11*p**3 - 3 + 0*p. Factor b(r).
-2*(r + 27)**2/11
Let l(r) be the first derivative of 1/5*r**5 - 2*r**2 + 2*r**3 + 5/4*r**4 - 22 - 8*r. Solve l(w) = 0 for w.
-2, 1
Let h be -1383 + 1395 + (-11 + 0 - -1). Factor 95*f**h + 5/2*f**3 + 100 - 395/2*f.
5*(f - 1)**2*(f + 40)/2
Let v(o) = 34*o**2 - 552*o + 548. Let l(x) = 10*x**2 - 184*x + 183. Let h(d) = 10*l(d) - 3*v(d). Determine w so that h(w) = 0.
-93, 1
Let s(u) be the first derivative of u**5/5 + 5*u**4/8 + 2*u**3/3 + u**2/4 + 405. Factor s(i).
i*(i + 1)**2*(2*i + 1)/2
Let 2432/9*u + 1/9*u**3 - 9472/9 - 164/9*u**2 = 0. What is u?
8, 148
Let x = 522 + -480. Factor -540*j + x*j**4 + 37*j**3 - 2*j**3 - 90*j**2 + 1080 - 16*j**4 - 21*j**4.
5*(j - 3)*(j - 2)*(j + 6)**2
Suppose -28 = 4*d + 128. Let a = -31 - d. Find k, given that -4*k + 101*k**4 - 22*k**3 + 3*k - 77*k**4 - 9*k**5 + a*k**2 = 0.
0, 1/3, 1
Factor -169519 + 374942 - 170862*o - 145986*o - 3*o**3 + 762833 - 1959*o**2.
-3*(o - 3)*(o + 328)**2
Suppose -5*j + 5*d + 50 = 0, 485*j + 38 = 487*j - 5*d. What is q in 0 + 0*q - 14/3*q**j - 16/3*q**3 + 32/3*q**2 - 2/3*q**5 = 0?
-4, 0, 1
Suppose 8*w - 15*w - 56 = 0. Let p be w*(-1)/2 - -4. Factor 13*m**3 + 3*m**4 - p*m**3 + m**4 + m**4 - 10*m**2.