 + 6*s**2 + 3*s**5 + 3*s - 12*s**3 + 9*s**5 + 5321*s**4 - 5327*s**4 = 0.
-1, -1/3, 0, 1
Determine d, given that 16898*d**5 - 8445*d**5 + 11*d**4 - 9*d**3 + 8*d + 36*d**3 - 8452*d**5 + 25*d**2 = 0.
-8, -1, 0
Factor 86789*t**3 - 14*t**2 + 65*t**2 - 126*t - 86792*t**3.
-3*t*(t - 14)*(t - 3)
Let o(a) = 5*a - 27. Let p be o(6). Factor -8*s**p + 9*s**3 + 25*s**2 - 10 + 19*s**3 - 7*s - 28*s.
5*(s - 1)*(s + 2)*(4*s + 1)
Let i be (-413)/(-28) + -2 - (-3)/(-4). Suppose -16 = 8*z - i*z. Factor -7 - 12*w**3 - 3*w**5 - 38*w**4 + 0 + 1 + 50*w**z - 6*w**2 + 15*w.
-3*(w - 2)*(w - 1)**3*(w + 1)
Let g be -1*3*(-105)/45. Suppose -3*y + 9 = -3*q, -4*y - g*q + 20 = -3*q. Find s, given that -10*s**y + 0*s**4 - 2 + 10*s**2 + 2 + 5*s**5 - 5*s = 0.
-1, 0, 1
Factor 1121 + 2389*y - 539*y - 1121 - 915*y**2 - 5*y**3.
-5*y*(y - 2)*(y + 185)
Let g(z) be the second derivative of z**4/20 - 6*z**2/5 - 1303*z + 2. Factor g(a).
3*(a - 2)*(a + 2)/5
Let l(a) be the second derivative of a**4/66 - 58*a**3/33 - 315*a**2/11 - 460*a + 3. Solve l(z) = 0 for z.
-5, 63
Suppose 0 = 2*s + 5*k + 98 - 36, 2*k + 70 = -3*k. Solve -2/3 - 2*m**3 - 1/6*m**2 + 5/6*m**s + 2*m = 0 for m.
-1, 2/5, 1, 2
Let r(g) be the first derivative of g**6/450 - g**5/25 + 3*g**4/10 - g**3/3 - g + 109. Let z(f) be the third derivative of r(f). What is o in z(o) = 0?
3
Let x(d) be the first derivative of -2*d**6/15 - 8*d**5/5 + 43*d**4/5 + 1024*d**3/15 + 696*d**2/5 + 576*d/5 + 100. Solve x(p) = 0.
-12, -2, -1, 6
Suppose 6*t + 7*t = 39. Suppose 8*h**2 - 5*h**2 + 10 - t*h - 4*h**2 = 0. Calculate h.
-5, 2
Let l(x) = 1586*x + 19032. Let y be l(-12). Determine d so that -1/2*d**4 - 1/6*d**2 - 1/2*d**3 + 0*d - 1/6*d**5 + y = 0.
-1, 0
Let s(d) = 2*d - 18. Let z be s(19). Suppose 20*w - z = 10*w. Factor -6*g + 0*g**2 + 16 + 4*g**3 + 4*g - 14*g - 4*g**w.
4*(g - 2)*(g - 1)*(g + 2)
Let c = -466 - -598. Let s be 0 + (-3)/9 + 68/c. Determine x so that -s + 0*x + 2/11*x**2 = 0.
-1, 1
Let a(t) be the first derivative of 18*t + 9/4*t**4 + 51/2*t**2 + 15*t**3 - 72 - 3/5*t**5. Factor a(d).
-3*(d - 6)*(d + 1)**3
Let z(x) be the second derivative of -x - 1/22*x**4 + 6/11*x**3 + 81/11*x**2 + 20. Factor z(v).
-6*(v - 9)*(v + 3)/11
Let q(j) be the second derivative of 24/11*j**2 + 3/110*j**5 + 14*j - 4/11*j**3 - 5/11*j**4 + 4/55*j**6 + 1/77*j**7 - 3. Suppose q(y) = 0. Calculate y.
-2, 1
Let t(x) be the third derivative of -x**6/24 - 5*x**5/6 + 35*x**4/3 - 1098*x**2. Factor t(a).
-5*a*(a - 4)*(a + 14)
Let o = -29 + 35. Suppose 1 - o = q - 2*v, -2*v = -8. Let 1/3*y**5 + 1/3*y**2 - y**q + 2/3*y + 0 - 1/3*y**4 = 0. Calculate y.
-1, 0, 1, 2
Let p(n) be the first derivative of -2*n**5/5 + 82*n**4 - 13430*n**3/3 - 1476*n**2 + 121032*n + 6406. Factor p(g).
-2*(g - 82)**2*(g - 3)*(g + 3)
Let j(r) be the third derivative of -r**4/12 + r**3/6 - 9*r**2. Let u be j(-16). Factor -63*b**3 + 42*b**2 - u*b**3 - 4*b**5 + 36*b**4 + 22*b**2.
-4*b**2*(b - 4)**2*(b - 1)
Let j(a) be the second derivative of -a**5/4 - 115*a**4/3 - 5705*a**3/6 - 9555*a**2 - 5760*a. Find q, given that j(q) = 0.
-78, -7
Let v(x) be the first derivative of 1/7*x**3 + 11 + 5/14*x**2 + 1/84*x**4 + 3*x. Let n(y) be the first derivative of v(y). Find j such that n(j) = 0.
-5, -1
Solve 2/7*u**2 + 320/7 + 164/7*u = 0.
-80, -2
Let d(c) be the third derivative of -c**5/300 - 7*c**4/120 + 3*c**3/5 - 2*c**2 - 830*c. Factor d(v).
-(v - 2)*(v + 9)/5
Let x(m) = -m**2 + 17*m + 4. Let r = 33 - 16. Let k be x(r). Factor 18 + 19 - p - 26*p**k + 34*p**3 + 7*p**5 - 16*p**2 - 35.
(p - 1)**4*(7*p + 2)
Let q(p) be the first derivative of 20/13*p**2 - 20/39*p**3 - 5/26*p**4 + 15 + 6/65*p**5 - 16/13*p. Find a such that q(a) = 0.
-2, 2/3, 1, 2
Let b(g) be the second derivative of -g**2 + 120*g + 0 - 4/15*g**3 + 1/30*g**4. Find n such that b(n) = 0.
-1, 5
Let h be 1/((-45)/(-40) + -1). Suppose -11*l - k = -h*l - 13, 2*k + 4 = 0. Factor 9/5*b**3 + 0 + 3/5*b**l - 9/5*b**4 - 3/5*b**2 + 0*b.
3*b**2*(b - 1)**3/5
Let g(a) be the third derivative of a**7/210 - a**6/8 + 19*a**5/60 + 29*a**4/8 + 26*a**3/3 + 654*a**2. Factor g(d).
(d - 13)*(d - 4)*(d + 1)**2
Let q(t) = t**3 + 4*t**2 - 7*t - 6. Let k be q(-5). Let l = -1418811 + 9931679/7. Let 0*b + 12/7*b**2 - 10/7*b**3 - l*b**k + 0 = 0. Calculate b.
-6, 0, 1
Let x(f) = f**2 - 10*f + 9. Let d be x(9). Let t = 121498/477 - 13488/53. Determine i, given that -t*i + d + 2/9*i**2 = 0.
0, 1
Let z(w) be the first derivative of -81 + 7*w - 4*w**2 + 1/3*w**3. Factor z(y).
(y - 7)*(y - 1)
Let f be 352/(-220) + (-98)/(-30). Let d(j) be the third derivative of -5/12*j**5 - 23*j**2 - f*j**4 + 0*j - 10/3*j**3 + 0 - 1/24*j**6. Factor d(k).
-5*(k + 1)*(k + 2)**2
Let j(w) = -82*w**2 + 42*w**2 + 3 + 41*w**2 + 2*w. Let c be j(0). Determine x so that 2*x**4 - 2*x**2 - 6*x - c*x + 5*x + 4*x**3 = 0.
-2, -1, 0, 1
Suppose -2 = -2*q + q. Factor 67*l**2 - 122*l**2 - 56 + 20*l + 59*l**q.
4*(l - 2)*(l + 7)
Suppose 106*f = 1652 + 2164. Suppose 5*j = -2*o - 1, -3*o = -4*j + j - 9. Factor -f - 57*t - 9/2*t**o.
-3*(t + 12)*(3*t + 2)/2
Let a(y) = -9*y**2 + 286*y - 1350. Let t be a(26). Factor -2/15*p**t - 2/5*p + 8/15.
-2*(p - 1)*(p + 4)/15
Suppose 0 = 29*m - 34*m - 40, 5*m = -u - 38. Let h(r) be the third derivative of 0*r + 5/12*r**3 + 1/72*r**5 - 12*r**u - 5/36*r**4 + 0. Factor h(b).
5*(b - 3)*(b - 1)/6
Suppose -r = -18*k + 12*k + 26, -10 = 5*r. Let n(y) be the first derivative of 14 + 0*y + 0*y**2 - 1/12*y**k - 1/9*y**3. Find f, given that n(f) = 0.
-1, 0
Let u be (-16)/(-10) - 14656/(-80). Let d = u + -8296/45. Determine v, given that -32/9*v + d*v**2 - 4 = 0.
-1, 9
Let g(s) be the second derivative of -165*s**4/26 - 2*s**3/39 + 3505*s. Factor g(y).
-2*y*(495*y + 2)/13
Let w(y) be the first derivative of 3*y**4/2 - 16*y**3/9 - 55*y**2/3 - 4*y + 671. Let w(p) = 0. Calculate p.
-2, -1/9, 3
Let c be ((-33)/6*2)/((-5)/(-5)). Let y(m) = 36*m - 36. Let w(f) = -f**2 + 181*f - 180. Let z(n) = c*y(n) + 2*w(n). Factor z(g).
-2*(g - 1)*(g + 18)
Let z(w) = -6*w**3 - w**2 + 2*w - 2. Let s(l) = -82*l**3 + 254*l**2 - 514*l + 244. Let j(q) = 2*s(q) - 28*z(q). Factor j(c).
4*(c - 1)**2*(c + 136)
Let r(o) be the third derivative of o**5/20 - 1271*o**4/4 + 1615441*o**3/2 + 7188*o**2. What is c in r(c) = 0?
1271
Factor 2122849/2 + 1457*s + 1/2*s**2.
(s + 1457)**2/2
Let o(f) be the second derivative of -1/6*f**2 - 3 + 1/18*f**3 + 1/36*f**4 - 1/60*f**5 + 4*f. Suppose o(q) = 0. What is q?
-1, 1
Suppose -5 = -5*m + 15. Let r = 9 - 8. Let j(s) = -4*s**4 - 4*s**3 + 4*s**2 + 4*s - 8. Let a(i) = i**3 + i**2 - i + 1. Let x(c) = m*a(c) + r*j(c). Factor x(n).
-4*(n - 1)**2*(n + 1)**2
Let y be (-10)/(-21)*189/252. Let f(n) be the second derivative of -3/140*n**5 + 1/28*n**4 + y*n**3 + 9/14*n**2 + 0 + 6*n. Factor f(u).
-3*(u - 3)*(u + 1)**2/7
Let p(l) = -9*l**5 - 3*l - 6. Let y(i) = -i**3 + 8*i**5 + 3*i + 15*i**4 - i**4 - 14*i**4 + 5. Let f(k) = 5*p(k) + 6*y(k). Factor f(u).
3*u*(u - 1)**2*(u + 1)**2
Let k = 25743/10 - 77219/30. Find z, given that -k*z + 1/3*z**2 - 20/3 = 0.
-4, 5
Let s be (-4)/14 + 30/(-60)*-52 + -24. Factor s*d - 4/7*d**2 + 0.
-4*d*(d - 3)/7
Factor -2/13*r**4 + 0 - 65514/13*r**2 - 128164/13*r - 720/13*r**3.
-2*r*(r + 2)*(r + 179)**2/13
Let m be 720/(-200)*(-9)/((-162)/(-30)). Factor -27/7*d + m + 3/7*d**2.
3*(d - 7)*(d - 2)/7
Let q(o) be the first derivative of -8*o**5/5 - o**4 + 112*o**3/3 - 18*o**2 - 144*o - 493. Solve q(p) = 0.
-4, -1, 3/2, 3
Let p(n) = n**2 + 3*n + 4. Let w be p(-3). Let z(u) = -u**2 + 8*u - 10. Let c be z(w). Solve -4*m + 4*m**4 - 2*m**3 - c*m**3 + 0*m**4 - 4*m**3 + 12*m**2 = 0.
0, 1
Factor -19*i**3 - 32*i**3 - i**5 + i**4 - 48*i + 10*i**4 + 12*i**4 - 11*i**4 + 88*i**2.
-i*(i - 4)**2*(i - 3)*(i - 1)
Let u = 3050 - 3050. Let a(t) be the first derivative of -2/3*t**3 + 3/5*t**5 + 14 - 1/4*t**4 + 0*t + u*t**2. Factor a(n).
n**2*(n - 1)*(3*n + 2)
Solve -159*o + 2*o**2 - 210 + 86*o - 135*o = 0 for o.
-1, 105
Suppose -25 = -q - 3*u, 3*q + 3*u - u = 54. Let 2*d + 4*d**3 - 9*d**2 - d - 15*d**2 - d + 4*d**5 + q*d**4 = 0. What is d?
-3, -2, 0, 1
Suppose 764/5*z**2 - 72962/5*z - 2/5*z**3 + 0 = 0. Calculate z.
0, 191
Suppose 346*m + 348*m = 665*m. Let -17/4*r**2 + m - 7/4*r**4 - 1/4*r**5 - 3/2*r - 17/4*r**3 = 0. What is r?
-3, -2, -1, 0
Suppose 9*n = -s + 4*n + 17, n + 2 = 0. Let i be (-8)/(-30)