 Let a(n) = 0. What is n?
-10, -3, 1, 2
Suppose 2*r = 8, -i + 0*r + 27 = 3*r. Suppose -5*v = -0*v - i. Factor 18*n**4 + 48*n**2 - v*n**5 - 42*n**3 + 10 - 32*n + 0*n**5 + 5*n - 4.
-3*(n - 2)*(n - 1)**4
Let g(k) = 66*k**2 - 13803*k - 3438. Let l(u) = -16*u**2 + 3451*u + 860. Let b(c) = 2*g(c) + 9*l(c). Find z, given that b(z) = 0.
-1/4, 288
Let g be ((-120)/(-100))/(1/(-5)). Let h(d) = 3*d**2 + 19*d + 9. Let y be h(g). Let -o**y + 13*o**2 + 2*o**3 - 12*o**2 = 0. Calculate o.
-1, 0
Let r(z) = -2*z**2 + 46*z - 40. Let o be r(21). Suppose 4*b**5 - 300 + 96*b**3 - 144*b**2 + o*b**4 + 300 = 0. Calculate b.
-6, 0, 1
Let z(i) be the third derivative of -i**6/420 + 451*i**5/210 - i**2 + 5005. Let z(a) = 0. Calculate a.
0, 451
Find d, given that -111 + 378 + 426 - 276*d + 3*d**2 + 3*d**3 + 27 - 51*d**2 = 0.
-6, 2, 20
Let z(i) be the third derivative of 0 + 0*i + 13/10*i**5 + 2/105*i**7 + 31/60*i**6 + 154*i**2 - 28/3*i**3 - 11/3*i**4. Let z(d) = 0. Calculate d.
-14, -2, -1/2, 1
Let c(p) = p**3 - 10*p**2 + 100*p. Let w(f) = -12*f**3 + 120*f**2 - 1100*f. Let g(y) = 32*c(y) + 3*w(y). Factor g(r).
-4*r*(r - 5)**2
Let m(k) be the third derivative of -k**5/300 + 7*k**4/8 + 14*k**2 - 5. Solve m(y) = 0.
0, 105
Let f(z) be the first derivative of z**6/24 + 2*z**5/5 + 5*z**4/4 + 5*z**3/6 - 21*z**2/8 - 9*z/2 - 4940. Determine m, given that f(m) = 0.
-3, -2, -1, 1
Let g(p) = 8*p + 44. Let j be g(-5). Solve 2*n**2 - 208 + 60*n - j*n**2 - 242 = 0 for n.
15
Let b(g) be the third derivative of -g**7/1050 - 3*g**6/200 + 11*g**5/100 - 7*g**4/24 + 2*g**3/5 + 5*g**2 - 96*g - 2. Find v, given that b(v) = 0.
-12, 1
Let l(x) be the first derivative of -37*x**4/14 - 596*x**3/21 - 16*x**2/7 + 2387. Let l(p) = 0. Calculate p.
-8, -2/37, 0
Let f(v) be the first derivative of v**4/26 - 72*v**3/13 + 317*v**2/13 - 420*v/13 + 65. Factor f(b).
2*(b - 105)*(b - 2)*(b - 1)/13
Suppose 319 - 89 = -2*b. Let c = b - -118. Factor -1/3 - 20/3*w**c - 8/3*w**4 - 6*w**2 - 7/3*w.
-(w + 1)*(2*w + 1)**3/3
Suppose 0 = 12*b + 653 - 713. Let l be (6/2)/(2/10). Factor -l*c**4 + 0*c**5 + 0*c**3 + 5*c**3 + b*c**5 + 5*c**3.
5*c**3*(c - 2)*(c - 1)
Let p(n) be the third derivative of -n**6/24 + 193*n**5/12 - 14685*n**4/8 - 81675*n**3/2 - 4032*n**2. Factor p(z).
-5*(z - 99)**2*(z + 5)
Let f(x) be the second derivative of -188/33*x**3 + 5/66*x**4 - 76/11*x**2 + 0 + 6*x. Factor f(r).
2*(r - 38)*(5*r + 2)/11
Let m(o) be the first derivative of 0*o + o**4 - 31/15*o**3 + 3/25*o**5 - 93 + 4/5*o**2. Solve m(h) = 0.
-8, 0, 1/3, 1
Let a = 782 - 1207. Let s be 5/3*((-9380)/a - 22). Solve -s*p**2 + 2/17 + 0*p = 0 for p.
-1, 1
Let w(q) = -q - 4. Let d be w(0). Let t be -1 + (-84)/(d/1). Factor 5*u**3 + 6 + 35*u - 3*u**4 - 70*u - 2*u**3 + t*u + 9*u**2.
-3*(u - 1)**3*(u + 2)
Let s(r) = 8*r**2 + 5*r - 72. Let h(j) be the third derivative of -j**5/3 - j**4/2 + 30*j**3 - 15*j**2 + 3. Let b(n) = 5*h(n) + 12*s(n). What is l in b(l) = 0?
-3, 3
Let m(v) = -33*v + 29. Let n be m(15). Let k = n + 468. Determine u, given that -6/5*u**k + 2/3*u**3 + 2/5*u + 2/15 = 0.
-1/5, 1
Let o(x) be the first derivative of 1/8*x**4 + 1/6*x**3 + 0*x + 15 - 3/2*x**2. Find l, given that o(l) = 0.
-3, 0, 2
Determine o so that 25*o + 24*o + 21*o**2 + 17*o - 3*o**4 + 12*o + 72 + 24*o - 12*o**3 = 0.
-4, -2, -1, 3
Suppose 771*n = 776*n - 1500. Let z be 100/n*(-4)/(-3). Factor z*y**2 + 1/3*y + 0.
y*(4*y + 3)/9
Let b(w) be the second derivative of 5*w**7/14 - 12*w**6/5 - 36*w**5/5 + 25*w**4/2 + 123*w**3/2 + 81*w**2 + 1077*w. Factor b(q).
3*(q - 6)*(q + 1)**3*(5*q - 9)
Let v(b) be the second derivative of 5*b**4/12 + 145*b**3/3 + 1200*b**2 - 82*b - 2. Let v(a) = 0. What is a?
-48, -10
Factor -245/2*m + 0 + 133*m**2 - 6*m**3 + 1/2*m**5 - 5*m**4.
m*(m - 7)**2*(m - 1)*(m + 5)/2
What is g in 26/7*g + 2/7*g**4 + 2*g**3 + 8/7 + 30/7*g**2 = 0?
-4, -1
Let q = -262 + 356. Suppose 11*u = -36*u + q. Solve 1/2*y**3 + 0 + 0*y - y**u = 0.
0, 2
Let j(u) = -5*u**2 + 6*u + 1. Let h(d) = d**2 - 2*d. Let w(l) = 3*h(l) + j(l). Let y(t) = -6*t**2 + 28*t - 26. Let v(b) = -4*w(b) + y(b). Factor v(c).
2*(c - 1)*(c + 15)
Let l be 9/2*((-512)/24)/(-8). Find h such that 0*h**3 + 9*h**2 + l*h**2 - 6*h**2 + 0*h**3 + 5*h**3 - 5*h - 15 = 0.
-3, -1, 1
Let n(q) = 6*q**3 - 113*q**2 - 1189*q + 1296. Let x(v) = -10*v**3 + 188*v**2 + 1982*v - 2160. Let w(p) = 12*n(p) + 7*x(p). Determine l, given that w(l) = 0.
-8, 1, 27
Let i(g) = 9*g + 201. Let l be i(-22). Factor 28*n**3 - 2 - 16*n**l - 4*n**4 - 2 + 4.
-4*n**3*(n - 3)
Factor 29201 - 15054 - 14847 + 5*y**2 + 55*y + 60*y.
5*(y - 5)*(y + 28)
Let b(m) = -m**2 - 4*m + 52. Let w be b(-10). Let a be w/(-4) + -4 + (-27)/(-12). What is h in 5/4*h**2 - 2*h + 1 - a*h**3 = 0?
1, 2
Let c(p) be the third derivative of 0 + 4/105*p**7 + 27/10*p**5 + 0*p + 9/2*p**4 + 136*p**2 + 3/5*p**6 + 0*p**3. Factor c(i).
2*i*(i + 6)*(2*i + 3)**2
Let h be (1179/3537)/((2/(-54))/(5/(-15))). Factor 1/2*d**4 + 0*d**h + 0 + d - 3/2*d**2.
d*(d - 1)**2*(d + 2)/2
Let r = -15616907/11 - -1419719. Factor 0 - 24/11*z + 8/11*z**2 + r*z**3.
2*z*(z - 2)*(z + 6)/11
Suppose -5*o - 3 = -28. Suppose -o*z = 5*i - 1 - 19, -5*i = z - 12. Factor -6 + 16*g**2 - 5*g - g - 13*g**z - 3.
3*(g - 3)*(g + 1)
Let p(g) = 29*g**2 - 89*g + 118. Let s(u) = 14*u**2 - 44*u + 59. Let c(j) = -6*p(j) + 13*s(j). Let q(k) = k**2 - k + 1. Let o(x) = c(x) - 5*q(x). Factor o(z).
3*(z - 9)*(z - 2)
Suppose 10 + 82 = 964*z - 918*z. Let p(g) be the first derivative of -2/3*g**3 - 11 + 3/2*g**z + 1/6*g**6 + 2*g - g**4 + 0*g**5. Factor p(y).
(y - 2)*(y - 1)*(y + 1)**3
Let g = 42 - -122. Determine i, given that 352*i**3 - 8*i - 43*i**4 + g*i**2 + 1 - 1 + 223*i**4 = 0.
-1, 0, 2/45
Let i(s) be the third derivative of 3*s**2 - 1/15*s**5 + 2/15*s**6 + 2/35*s**7 + 0*s + 1/168*s**8 - 40 - 3/4*s**4 - 4/3*s**3. Factor i(j).
2*(j - 1)*(j + 1)**3*(j + 4)
Let z(a) be the second derivative of -a**6/6 + 11*a**5/4 - 10*a**4 - 110*a**3/3 + 280*a**2 + 3114*a. Let z(d) = 0. What is d?
-2, 2, 4, 7
Determine z, given that -204/7*z**3 + 78/7*z**2 + 537/7*z + 3/7*z**5 - 390/7 - 24/7*z**4 = 0.
-5, -2, 1, 13
Let c(t) be the third derivative of 0*t**4 + 21 - t**2 + 0*t + 0*t**3 + 0*t**6 + 1/60*t**5 - 1/840*t**7. Determine k so that c(k) = 0.
-2, 0, 2
Let x be (-35)/(280/(-78)) - (-22)/(-264). What is o in -28/3*o + x - 1/3*o**2 = 0?
-29, 1
Let u = 273 + -257. Let o be (-36)/112 - (-12)/u. Factor 6/7*f + 0 - o*f**3 + 3/7*f**2.
-3*f*(f - 2)*(f + 1)/7
Suppose 51*v - 48*v - 6 = 0. Factor 12*p**v - 12*p**4 + 3*p**5 + 10*p - 5*p - 4*p - 13*p + 9*p**3.
3*p*(p - 2)**2*(p - 1)*(p + 1)
Let c(w) = 104*w**4 + 16*w**3 + 24*w**2 - 153*w + 90. Let z(u) = -23*u**4 - 4*u**3 - 6*u**2 + 38*u - 23. Let s(v) = -2*c(v) - 9*z(v). Solve s(q) = 0.
-3, 1, 3
Let r(b) be the second derivative of b**7/168 + b**6/120 - b**5/80 - b**4/48 + 3*b - 22. Let r(h) = 0. Calculate h.
-1, 0, 1
Let c(d) be the second derivative of 3*d**4/16 - 11*d**3 + 87*d**2/8 + 3704*d. Factor c(t).
3*(t - 29)*(3*t - 1)/4
Let v = 111982/3 - 37327. Find u, given that v*u**3 - 85/3*u - 43/3 - 41/3*u**2 = 0.
-1, 43
Let u(p) = -4*p - 70. Let m be u(-18). Let x(h) = -h - 1. Let b be x(-4). Factor 5/9*y**b + 1/9*y - 2/9 + 8/9*y**m.
(y + 1)**2*(5*y - 2)/9
Let u(f) = 2*f**2 + 24*f + 64. Suppose 4*w - 55 = 3*v + 20, 4*v = -20. Let o(b) = -w + 4 + 12. Let j(h) = 8*o(h) + u(h). Suppose j(z) = 0. What is z?
-6
Let u be -3*1072/(-504) + (48/21 - 2). Find r, given that -10/3 + 25/3*r + 5/3*r**3 - u*r**2 = 0.
1, 2
Let w(h) = -53189058*h**2 + 41246*h - 8. Let q(u) = 26594553*u**2 - 20624*u + 4. Let y(d) = -5*q(d) - 2*w(d). Let y(g) = 0. What is g?
2/5157
Factor -566*p + 42017 + 2*p**2 - 1506*p - 124853 + 619484.
2*(p - 518)**2
Let l(z) be the third derivative of -z**5/120 + z**4/16 + 9*z**3 - 32*z**2 - 1. Factor l(h).
-(h - 12)*(h + 9)/2
Let n(x) be the first derivative of x**6/4 + 21*x**5/4 - 75*x**4/4 + 5*x**3/4 + 147*x**2/4 - 30*x - 1108. Determine f so that n(f) = 0.
-20, -1, 1/2, 1, 2
Let h(i) be the third derivative of 3*i**6/80 + 79*i**5/120 - 9*i**4/4 + 5*i**3/3 + 18*i**2 - 20. Suppose h(o) = 0. What is o?
-10, 2/9, 1
Let g(p) = p**3 - 14*p**2 + 15*p - 7. Let w be g(13). Suppose -3 = -q - 2*q + j, -2*q + w = 5*j. Factor -23*h**2 - 55*h + 14*h**q + 14*h**2.
5*h*(h - 11)
Let c(g) = g**3 + 1465*g**2 - 1800