Factor 1/6*i**z + 0 - 1/6*i.
i*(i - 1)/6
Let s(l) be the first derivative of -5*l**6/6 - 9*l**5 + 380*l**3/3 + 240*l**2 - 7247. Let s(q) = 0. What is q?
-8, -2, 0, 3
Let q = -1869 - -1873. Let k = 57 + -55. Factor -2/3*s**3 - 2/3*s**k + 2/3*s**q + 2/3*s**5 + 0*s + 0.
2*s**2*(s - 1)*(s + 1)**2/3
Let l = 15 - -94. Let j be l/(-9) - -9 - -1*4. Solve -2/9*r**2 + 0 + j*r = 0 for r.
0, 4
Let u(i) be the third derivative of -i**9/181440 - i**8/6048 - i**7/1680 + 5*i**5/3 + 7*i**2 + 3. Let t(s) be the third derivative of u(s). Factor t(l).
-l*(l + 1)*(l + 9)/3
Let q(y) be the first derivative of -y**6/6 + 9*y**5/5 - 6*y**4 + 16*y**3/3 + 1749. Factor q(i).
-i**2*(i - 4)**2*(i - 1)
Let k = 3618 + -3616. Let l(o) be the first derivative of 0*o - 1/5*o**5 - 1 + 3/4*o**4 + 1/3*o**3 - 1/6*o**6 - o**k. Determine i so that l(i) = 0.
-2, -1, 0, 1
Let h(q) be the first derivative of q**4/2 - 470*q**3/3 - 473*q**2 - 474*q - 723. Factor h(i).
2*(i - 237)*(i + 1)**2
Let m(q) = 26*q**3 - 458*q**2 + 880*q - 34. Let a(s) = 9*s**3 - 153*s**2 + 294*s - 12. Let l(b) = -17*a(b) + 6*m(b). What is f in l(f) = 0?
0, 2, 47
Let t(k) be the first derivative of k**4/42 - k**2/7 + 69*k - 72. Let w(p) be the first derivative of t(p). Find s, given that w(s) = 0.
-1, 1
Let j(p) be the first derivative of p**4/90 - 2*p**3/45 - p**2/5 - 19*p - 7. Let a(s) be the first derivative of j(s). Suppose a(u) = 0. What is u?
-1, 3
Find w such that -1/4*w**2 - 2463/2*w - 6066369/4 = 0.
-2463
Let l = -14 - -408. Let s be 1 - (l/(-8) - (-1)/4). Determine r, given that -42*r**4 - 8*r**2 - 147*r + 18 - 18 + 3*r**5 + s*r**2 + 144*r**3 = 0.
-1, 0, 1, 7
Let q(x) be the first derivative of 128*x**4/7 - 1472*x**3/7 + 639*x**2 - 756*x + 4399. Factor q(f).
2*(f - 6)*(16*f - 21)**2/7
Let p(b) be the third derivative of -31*b**2 + 2/3*b**3 + 0 + 0*b + 0*b**4 - 1/15*b**5. Factor p(t).
-4*(t - 1)*(t + 1)
Suppose 22*b - 3*b = 8*b. Let u(d) be the second derivative of -1/50*d**5 + 0 + 0*d**2 + 1/30*d**4 + b*d**3 - 3*d. Factor u(s).
-2*s**2*(s - 1)/5
Suppose -22*x - 10*x - 26 + 21 = -69. Determine h, given that -h - 1/3*h**x + 0 = 0.
-3, 0
Let o(g) = g**2 - 16*g + 1. Let r(b) = 8*b**2 - 67*b + 9. Let p(c) = -36*o(c) + 4*r(c). Suppose p(m) = 0. Calculate m.
0, 77
Let b(y) be the first derivative of 5/6*y**6 + 0*y + 0*y**2 - 44 + 5*y**5 + 35/4*y**4 + 5*y**3. What is q in b(q) = 0?
-3, -1, 0
Let y(j) be the third derivative of -j**7/945 - 47*j**6/108 - 229*j**5/30 - 227*j**4/4 - 226*j**3 + 4074*j**2. Factor y(c).
-2*(c + 3)**3*(c + 226)/9
Let j(q) = 3*q**3 - 120*q**2 - 2358*q - 2229. Let n(w) = -9*w**3 + 358*w**2 + 7069*w + 6686. Let d(b) = 8*j(b) + 3*n(b). Factor d(u).
-3*(u - 53)*(u + 1)*(u + 14)
Let v(q) be the first derivative of -3*q**5/20 + 3*q**4/2 + 5*q**3/2 - 3*q**2 - 27*q/4 + 2647. Let v(c) = 0. What is c?
-1, 1, 9
Let s(r) = -r**3 - r**2 - r + 1. Let m be 21/3*(72/7)/6. Let z(y) = 16*y**3 - 44*y**2 - 112*y - 76. Let q(l) = m*s(l) + z(l). Factor q(g).
4*(g - 16)*(g + 1)**2
Let l be (-57)/(-3) + -8*102/48. Find s, given that 2/5*s**4 - 8*s + 2*s**3 - 32/5 + 0*s**l = 0.
-4, -2, -1, 2
Let o(d) = -5*d**4 - 5*d**3 + 4*d**2 - 3*d - 3. Let w(n) = 16*n**4 + 16*n**3 - 12*n**2 + 10*n + 10. Let m = -128 + 118. Let y(q) = m*o(q) - 3*w(q). Factor y(u).
2*u**2*(u - 1)*(u + 2)
Let h(d) be the first derivative of -2*d**6/3 - 28*d**5 + 37*d**4 + 140*d**3/3 - 72*d**2 + 189. Suppose h(r) = 0. Calculate r.
-36, -1, 0, 1
Let v(z) = 10*z**5 + 16*z**4 - 40*z**3 + 32*z**2 + 6. Let m(p) = -2*p**5 + p**4 - 2*p**3 - 1. Let b(u) = -6*m(u) - v(u). What is q in b(q) = 0?
0, 1, 2, 8
Let t(i) be the second derivative of i**5/120 - 49*i**4/12 + 2401*i**3/4 + 505*i. Suppose t(k) = 0. Calculate k.
0, 147
Let o(t) be the first derivative of -3*t**5/5 - 219*t**4/4 - 72*t**3 + 2191. Determine g so that o(g) = 0.
-72, -1, 0
Let c(b) be the first derivative of 30 + 1/10*b**2 - 1/15*b**3 + 6/5*b. Factor c(s).
-(s - 3)*(s + 2)/5
Let m = 291 - -162. Let n = -451 + m. Factor 3/4 + 1/4*z**3 + 1/4*z**n - 5/4*z.
(z - 1)**2*(z + 3)/4
Factor -19*n**2 - 75 - 80 + 55 - 145*n - 31*n**2 - 5*n**3.
-5*(n + 1)*(n + 4)*(n + 5)
Let g = 23495/2 + -11348. Let a = g - 399. Determine u so that a*u - 1/2*u**3 + 0*u**2 + 1/4 - 1/4*u**4 = 0.
-1, 1
Let z(o) = o**4 + 80*o**3 - 151*o**2 - 374*o + 444. Let j(d) = -15*d**4 - 1120*d**3 + 2120*d**2 + 5235*d - 6220. Let p(f) = -6*j(f) - 85*z(f). Solve p(h) = 0.
-2, 1, 3, 14
Let k(j) = -8048*j - 112672. Let q be k(-14). Factor -1/3*s**3 + 1/3*s + 0*s**2 + q.
-s*(s - 1)*(s + 1)/3
Let j(q) be the third derivative of q**5/15 + 64*q**4/3 + 254*q**3/3 + 1400*q**2. Factor j(b).
4*(b + 1)*(b + 127)
Let 103705 + 3500*g**5 + 5450*g**4 - 85*g**2 - 40*g + 609*g**2 + 2930*g**3 - 103721 = 0. What is g?
-1/2, -2/5, 1/7
Let q(v) = -4*v**3 + 35*v**2 + 12*v - 27. Let f be q(9). Let x(p) be the second derivative of f - 19*p + 5/12*p**4 - 5*p**2 + 5/6*p**3. Factor x(o).
5*(o - 1)*(o + 2)
Suppose 12 = 2*g + 10, k = -g + 12. Suppose w = 3*h + h - k, -4*h = 3*w + 1. Factor 1/2*z**5 - h*z**4 + 2*z**2 + 3/2*z**3 + 0 - 2*z.
z*(z - 2)**2*(z - 1)*(z + 1)/2
Suppose 387*a - 25 = 392 + 357. Let 0*j + 2/17*j**5 - 6/17*j**3 + 0*j**a - 4/17*j**4 + 0 = 0. What is j?
-1, 0, 3
Let i be 0*2/(-8)*(-15)/(30/(-4)). Let p(u) be the third derivative of -1/210*u**6 + 15*u**2 + 0*u + 1/735*u**7 + 1/210*u**5 + 0*u**3 + i*u**4 + 0. Factor p(a).
2*a**2*(a - 1)**2/7
Let d(u) be the third derivative of u**5/20 + 17*u**4/8 - 100*u**3 + 2324*u**2. Factor d(w).
3*(w - 8)*(w + 25)
Let p(k) be the first derivative of k**5/80 + k**4/32 - k**2 - 5*k + 95. Let u(o) be the second derivative of p(o). Determine c, given that u(c) = 0.
-1, 0
Suppose -6 = -9*t + 7*t. Solve 1552 + q**2 - 1564 - 16*q**2 + 3*q**t + 24*q = 0.
1, 2
Let c(d) be the third derivative of d**7/105 - d**6/60 - 7*d**5/6 + 43*d**4/4 - 42*d**3 + 138*d**2. Determine a, given that c(a) = 0.
-7, 2, 3
Let w(k) = -2*k**3 - 115*k**2 + 152*k + 11916. Let i be w(-57). Factor q**2 + 5/2*q - 3 - 1/2*q**i.
-(q - 3)*(q - 1)*(q + 2)/2
Factor 216/7 + 96/7*v - 2/7*v**3 - 10/7*v**2.
-2*(v - 6)*(v + 2)*(v + 9)/7
Let k(v) = 2*v + 10*v + 10*v. Let u be k(-1). Let y(w) = w**2 + 5*w + 3. Let m(x) = 3*x**2 + 19*x + 11. Let r(z) = u*y(z) + 6*m(z). Factor r(c).
-4*c*(c - 1)
Let w be (21 - 13) + 2 + -23. Let f be (-13)/w*2/(-4)*0. Suppose 0*j**4 + 1/8*j**5 + 2*j + f*j**2 - j**3 + 0 = 0. Calculate j.
-2, 0, 2
Let b(n) be the first derivative of -5*n**4/4 - 4685*n**3/3 + 9385*n**2/2 - 4695*n + 2648. Find l, given that b(l) = 0.
-939, 1
Let d(f) be the first derivative of f**4/72 - f**3/3 + 11*f**2/12 - 70*f + 106. Let o(l) be the first derivative of d(l). Factor o(b).
(b - 11)*(b - 1)/6
Factor 320*q + 128 + 197*q + 269*q + q**3 - 1041*q + 126*q**2.
(q - 1)**2*(q + 128)
Let p = 704 - -1682. Let l(c) = -c**3 + 12*c**2 - 4*c - 58. Let s be l(11). Find w, given that w + 2394 - p + 16*w**2 + 4*w**3 + s*w = 0.
-2, -1
Let c(q) be the first derivative of 81/4*q**4 + 0*q - 729/2*q**3 - 3/10*q**5 + 0*q**2 - 32. Factor c(a).
-3*a**2*(a - 27)**2/2
Let v be (-470)/282 + 46/6. Let t(q) be the first derivative of -12/5*q**5 + 0*q**2 - v - q**4 + 0*q**3 - 4/3*q**6 + 0*q. Factor t(h).
-4*h**3*(h + 1)*(2*h + 1)
Let l(g) = 35*g**2 + 120*g - 195. Let n(r) = 2*r**2 + 6*r + 1. Let x be n(-4). Let b(s) = 8*s - 1 + 5*s**2 + x*s - 27. Let z(d) = 20*b(d) - 3*l(d). Factor z(c).
-5*(c - 1)*(c + 5)
Let m(a) be the first derivative of a**5/5 + 10*a**4/3 + 6*a**3 - 102*a + 192. Let v(j) be the first derivative of m(j). Factor v(c).
4*c*(c + 1)*(c + 9)
Determine l, given that l**4 - 2000376*l + 23322*l**2 + 12631*l**2 - 5142*l**2 - 378*l**3 + 16817*l**2 = 0.
0, 126
Factor 1998 - 279*v - 10224*v**3 + 5110*v**3 + 5111*v**3 - 120*v**2.
-3*(v - 3)*(v + 6)*(v + 37)
Let b(s) be the first derivative of 17*s**6/90 + 53*s**5/30 + s**4 - 80*s**3/3 + 69. Let i(o) be the third derivative of b(o). Let i(l) = 0. Calculate l.
-3, -2/17
Factor -2920681/11 - 1/11*o**2 + 3418/11*o.
-(o - 1709)**2/11
Let y(l) be the second derivative of 0*l**5 + 0*l**2 + 0 + 4/15*l**3 + 1/5*l**4 - 2/75*l**6 + 55*l. Solve y(p) = 0 for p.
-1, 0, 2
Determine h, given that -116*h**2 - 60/13*h**4 - 78*h + 0 - 2/13*h**5 - 552/13*h**3 = 0.
-13, -3, -1, 0
Let h = -90230 + 90233. Let 22*q**4 - 72/11*q + 336/11*q**