z so that -1/2*z**3 + 2 - 2*z**q + 1/2*z = 0.
-4, -1, 1
Determine v, given that -34786/11*v**2 - 158760/11 - 193032/11*v - 2/11*v**4 - 516/11*v**3 = 0.
-126, -5, -1
Let y(f) = -7*f - 1. Let p be y(-1). Let o(j) = 6*j - 15. Let n be o(3). Factor n*b**4 - p*b**2 + 2 + 0*b**4 - 12*b**3 + 7 + 12*b - 6*b**4.
-3*(b - 1)*(b + 1)**2*(b + 3)
Let t(d) be the second derivative of d**7/280 + 2*d**6/15 + 3*d**5/8 - 17*d**3/2 - 3*d**2/2 + 272*d. Let z(m) be the second derivative of t(m). Factor z(q).
3*q*(q + 1)*(q + 15)
Let x = -893704 + 893707. Determine i, given that -116/7*i**2 + 32/7*i + 192/7 + 40/7*i**x - 4/7*i**4 = 0.
-1, 3, 4
Let i be 12/(-22)*8525/(-1023)*(-2)/(-5). Suppose -12/11*h**3 + i*h**2 + 42/11*h + 18/11 - 6/11*h**4 + 2/11*h**5 = 0. What is h?
-1, 3
Let i(l) be the first derivative of -2*l**7/105 + 5*l**6/18 - 7*l**5/5 + 3*l**4/2 - 21*l**3 - 5. Let p(d) be the third derivative of i(d). Factor p(a).
-4*(a - 3)**2*(4*a - 1)
Let s(l) be the second derivative of -1/24*l**4 + 5/3*l**3 + 0*l**2 + 0 - 70*l. Find j, given that s(j) = 0.
0, 20
Let c(f) be the first derivative of 3*f**4/4 + 233*f**3 - 6*f**2 - 2796*f + 1633. Factor c(x).
3*(x - 2)*(x + 2)*(x + 233)
Suppose -756 + 351*f**2 + 15*f**3 + 2295*f - 394 + 2530*f**2 + 579*f**2 = 0. Calculate f.
-230, -1, 1/3
Let f(n) be the first derivative of -3*n**5/10 - 9*n**4/2 + 15*n**3/2 + 39*n**2/2 - 1421. Solve f(c) = 0.
-13, -1, 0, 2
Factor 784 + 104414*x + 4*x**4 - 4*x**2 - 105170*x - 64*x**2 + 36*x**3.
4*(x - 4)*(x - 1)*(x + 7)**2
Let f(z) be the second derivative of -z**4/48 - 17*z**3/6 - 33*z**2/2 + 3895*z. Factor f(x).
-(x + 2)*(x + 66)/4
Let u(v) be the third derivative of 4/5*v**5 + 2/105*v**7 + 87*v**2 + 2*v + 2*v**3 + 1/5*v**6 + 5/3*v**4 + 0. Factor u(p).
4*(p + 1)**3*(p + 3)
Let h(y) = -y**3 + 219*y**2 - 223*y + 1090. Let j be h(218). Suppose -16/15*p**4 - 4/5*p**3 - 10/3*p - 2/15*p**5 + 16/3*p**2 + j = 0. Calculate p.
-5, 0, 1
Factor -98/19*x**3 - 3174/19*x - 2/19*x**4 - 1334/19*x**2 + 0.
-2*x*(x + 3)*(x + 23)**2/19
Find k, given that 2/9*k**2 + 0 - 496/9*k = 0.
0, 248
Let z(l) be the first derivative of -3/4*l**4 + 8*l**3 + 0*l + 1/2*l**6 - 24/5*l**5 - 203 + 0*l**2. Factor z(r).
3*r**2*(r - 8)*(r - 1)*(r + 1)
Let h(c) be the first derivative of -c**5/15 - 7*c**4/54 - 2*c**3/27 + 2*c - 247. Let d(a) be the first derivative of h(a). Find b such that d(b) = 0.
-2/3, -1/2, 0
Factor -1125*q - 154*q**3 - 192856*q**5 + 192861*q**5 + 10*q**4 - 166*q**3 - 1450*q**2.
5*q*(q - 9)*(q + 1)*(q + 5)**2
Let c = -5/191 - -1181/1337. Let m(t) be the second derivative of 3/14*t**3 + c*t**2 + 0 - 7*t - 1/28*t**4. Factor m(o).
-3*(o - 4)*(o + 1)/7
Let t(k) be the second derivative of -5*k**6/3 + 3*k**5/2 + 11*k**4/2 - 11*k**3/3 - 12*k**2 - 23*k + 24. Suppose t(g) = 0. Calculate g.
-4/5, -3/5, 1
Let t be (-139 + 142)*(-2*1*138/(-12))/9. Determine a, given that t*a + 4/3 - 2*a**2 = 0.
-1/6, 4
Let l(s) = -2*s**3 - 2*s - 2. Let n(u) = 3*u**4 - 10*u**3 - 324*u**2 + 1504*u - 872. Let i(b) = -12*l(b) + 3*n(b). Find q, given that i(q) = 0.
-12, 2/3, 6
Let j(i) be the first derivative of i**5/90 + 5*i**4/6 + 25*i**3 - 43*i**2/2 + 13. Let a(w) be the second derivative of j(w). What is b in a(b) = 0?
-15
Factor -550*z**2 - 2/5 + 2752/5*z.
-2*(z - 1)*(1375*z - 1)/5
Let i(j) = 82*j**2 + 884*j + 6. Let p(k) = k**3 - 81*k**2 - 885*k - 9. Let x = 400 - 402. Let g(z) = x*p(z) - 3*i(z). Factor g(t).
-2*t*(t + 21)**2
Let j(a) be the second derivative of -3*a**6/80 - a**5/60 + 3*a**4/4 + 2*a**3/3 - 29*a**2/2 + 59*a. Let m(l) be the first derivative of j(l). Factor m(h).
-(h - 2)*(h + 2)*(9*h + 2)/2
Let h(v) = -8*v**2 - 4330*v - 4245. Let y(g) = -2*g**2 - 1084*g - 1061. Let b(q) = -6*h(q) + 22*y(q). Factor b(t).
4*(t + 1)*(t + 532)
Let h(y) be the third derivative of 2/7*y**3 + 0*y - 50*y**2 + 1/84*y**4 + 0 - 1/210*y**5. Find q, given that h(q) = 0.
-2, 3
Let z be 2115/564*(-56)/(-70). Factor -2/3*u**z + 1/3 + 0*u**2 + 2/3*u - 1/3*u**4.
-(u - 1)*(u + 1)**3/3
Let i(l) be the third derivative of 7*l**5/150 - 64*l**4/5 - 44*l**3/3 - 1884*l**2 - 3*l. Factor i(o).
2*(o - 110)*(7*o + 2)/5
Let s(i) be the first derivative of -i**5 + 45*i**4/4 - 25*i**3 + 35*i**2/2 - 777. Factor s(p).
-5*p*(p - 7)*(p - 1)**2
Let c(f) be the first derivative of f**3 - 33*f**2/2 - 456*f - 1685. Factor c(z).
3*(z - 19)*(z + 8)
Determine t so that 80 - 198/5*t - 1/5*t**2 = 0.
-200, 2
Let f(i) = 55*i**2 - 790*i + 825. Let h(b) = -10*b**2 + 72*b + 0*b**2 - 75 + 5*b**2. Let n(r) = -4*f(r) - 45*h(r). Factor n(s).
5*(s - 15)*(s - 1)
Let o(x) be the second derivative of -x**4/48 - 21*x**3/8 + 8*x**2 + 5130*x. Factor o(v).
-(v - 1)*(v + 64)/4
Let a(o) be the second derivative of o**5/50 + 727*o**4/15 + 528529*o**3/15 + 19*o - 99. Factor a(m).
2*m*(m + 727)**2/5
Let n = 19602 + -98004/5. Suppose -14/5*l + 2*l**2 + n - 2/5*l**3 = 0. Calculate l.
1, 3
Let k be 99/(-4)*((-10)/8)/(315/42). Determine y, given that k*y**2 + 7/8*y**3 + 4*y - 3/2 = 0.
-3, -2, 2/7
Let h(x) = -17*x**2 - 154*x - 134. Let b(w) = -9*w**2 - 81*w - 66. Let c(d) = 5*b(d) - 3*h(d). Determine a so that c(a) = 0.
-8, -3/2
Let h = -55/19614 + 19889/98070. Factor h*q**2 + 17/5 - 18/5*q.
(q - 17)*(q - 1)/5
Solve 3/2*n**5 - 15/2*n**4 + 33*n**2 + 45/2 - 9*n**3 + 111/2*n = 0 for n.
-1, 3, 5
Let x(r) = 16*r**3 + 2*r**2 + 19*r - 20. Let o be x(1). Suppose 84 = 11*d + o*d. Factor 2/3*s**d - 4/3 - 2*s + 0*s**2.
2*(s - 2)*(s + 1)**2/3
Let c = -75593 + 75597. Factor -2/3*q**c + 0 - 2/15*q**5 + 0*q + 26/15*q**3 - 14/15*q**2.
-2*q**2*(q - 1)**2*(q + 7)/15
Let i(o) be the third derivative of -o**5/15 - 13*o**4 - 841*o**2. Let i(j) = 0. Calculate j.
-78, 0
Let s be (-7 - (-21 - -14))*-1. Let b(g) be the third derivative of 0 + s*g - 1/30*g**5 - 13*g**2 - 1/3*g**3 + 1/6*g**4. Factor b(l).
-2*(l - 1)**2
Let m(j) = 15*j**3 - 45*j**2 - 40*j. Let x(u) = u**3 - 3*u**2 - 2*u. Let p(h) = m(h) - 10*x(h). Factor p(v).
5*v*(v - 4)*(v + 1)
Suppose -z = -5*b, b - 4*b + 4*z + 17 = 0. Let c be ((-90)/105)/(b - (-10)/14). Factor -48*q + 8*q**2 + 8 + 12*q**c + 6 - 4*q**4 + 18.
-4*(q - 2)**2*(q - 1)*(q + 2)
Find l, given that 32*l**2 + 32 + 34*l**5 - 40*l**3 + 2*l**3 + 280*l - 87*l**4 - 276*l**3 + 23*l**4 = 0.
-2, -1, -2/17, 1, 4
Factor -1633*k**5 + 374*k**3 + 41*k**2 + 115*k**4 + 46*k**2 + 1635*k**5 + 75*k**4 + 99*k**2.
2*k**2*(k + 1)**2*(k + 93)
Let y(d) be the first derivative of -2*d**6/3 - 2756*d**5/5 - 115543*d**4 + 4317892*d**3/3 - 5824112*d**2 + 7795264*d + 6698. Let y(k) = 0. What is k?
-349, 1, 4
Let m = 257 - 8. Let q = m - 247. Suppose 1/3 - 1/3*r**q + 0*r = 0. Calculate r.
-1, 1
Let j(r) be the third derivative of -r**6/120 + 403*r**5/20 - 121605*r**4/8 - 366025*r**3/6 - 2*r**2 + 48*r - 4. Solve j(b) = 0.
-1, 605
Let t(f) = 2*f**2 - 5*f + 3. Let x be t(0). Let -256 + 29*z**2 + 270*z**4 - 271*z**4 + x*z**2 = 0. Calculate z.
-4, 4
Let y be 344/(-3)*(-39)/52. Factor -3348*s**2 + y*s**3 + 1125*s - 778*s + 147*s**4 - 139*s**3 - 288 + 1645*s - 325*s**3.
3*(s - 6)*(s + 4)*(7*s - 2)**2
Let r(f) = 728*f - 37128. Let b be r(51). Determine k so that -8*k + b + 4/7*k**2 = 0.
0, 14
Let i(t) be the second derivative of t**4/6 - 247*t**3/3 + 246*t**2 + 12*t + 49. What is r in i(r) = 0?
1, 246
Let x(r) be the first derivative of r**4/10 + 10*r**3/3 + 154*r**2/5 + 2799. Factor x(n).
2*n*(n + 11)*(n + 14)/5
Let t(y) be the second derivative of -3*y**5/20 - 13*y**4/4 - 7*y**3 + 132*y**2 - 21*y - 10. Suppose t(g) = 0. Calculate g.
-11, -4, 2
Let p(y) be the second derivative of -86*y + 625/6*y**3 - 8/3*y**6 + 0*y**2 + 45/2*y**5 + 0 - 250/3*y**4 + 5/42*y**7. Factor p(t).
5*t*(t - 5)**3*(t - 1)
Let n = 680088/19 + -35794. Factor 0*d + n*d**3 + 0 - 2/19*d**2.
2*d**2*(d - 1)/19
Let n be (-972)/(-190) + (-1 - 6) - -4. Let k = n - 25/19. Factor 2/5 - k*f + 2/5*f**2.
2*(f - 1)**2/5
Let h(w) be the third derivative of -w**7/280 - 41*w**6/160 + w**5/80 + 41*w**4/32 - 1196*w**2 - w. Let h(y) = 0. What is y?
-41, -1, 0, 1
Let y be (-8)/((-40)/29075) - 7. Factor -17688*w + 471*w**2 + y - 247*w**2 + 571*w**2 - 9*w**3.
-3*(w - 44)**2*(3*w - 1)
Suppose 92 + 4 = 8*l. Suppose -7*p = -l*p. Factor p*i**2 - 8/3*i + 0 + 2/3*i**3.
2*i*(i - 2)*(i + 2)/3
Suppose 2*r - 5*n + 4 = -n, -6 = r - n. Let d be (-8 - r)*2/9. Factor -1/3*c**2 - d + 8/9*c - 2/9*c**3 + 