is i in h(i) = 0?
-6, -2/3, -2/5
Let q = -387 - -392. Factor -684*f - 10 - 4184*f**2 - q - 13 - 148*f**2 + 1.
-3*(38*f + 3)**2
Let r = 9/8711 - -52221/43555. Factor -8/5 + 2*w**3 + 2/5*w**4 + r*w**2 - 2*w.
2*(w - 1)*(w + 1)**2*(w + 4)/5
Let f(l) be the second derivative of -5*l**4/12 - 25*l**3/6 - 15*l**2 - 1158*l. Find n, given that f(n) = 0.
-3, -2
Let z(m) be the second derivative of -9*m**6/80 - 9*m**5/160 + 11*m**4/16 - 11*m**3/12 + m**2/2 - 417*m. Suppose z(n) = 0. What is n?
-2, 1/3, 2/3
Suppose 23 + 35 = m. Let a be (-8)/36 - m/(-18). Factor 6 + z**2 + 3*z**a - 12 + 5*z**2 - 3*z.
3*(z - 1)*(z + 1)*(z + 2)
Let k be (-12)/(-5 + (-347)/(-70)). Let h = k + -1959/7. Suppose 0 + 0*t + 1/7*t**3 + 1/7*t**2 - h*t**4 - 1/7*t**5 = 0. Calculate t.
-1, 0, 1
Let o(d) be the third derivative of 14*d - 15*d**3 + 5/336*d**8 + 0 - 5/21*d**7 + 7/3*d**5 - 35/24*d**4 - 2*d**2 + 1/4*d**6. Find a such that o(a) = 0.
-1, 1, 2, 9
Let n(o) be the second derivative of -169*o - 43/33*o**3 - 10/33*o**4 + 0 + 1/110*o**5 - 2*o**2. Find s such that n(s) = 0.
-1, 22
Suppose -70*h = -81*h + 33. Solve -5*o - 12*o - 6*o**2 - 13*o + 30*o**3 + h*o**4 + 3*o**2 + 0*o**4 = 0 for o.
-10, -1, 0, 1
Let l be 11726/2220 + 10*6/(-12). Let c = l - -2/111. Determine p, given that 2/5 - 1/10*p**3 + 0*p - c*p**2 = 0.
-2, 1
Factor 3969/4*k + 3/4*k**4 + 1377/4*k**2 + 972 + 171/4*k**3.
3*(k + 3)**3*(k + 48)/4
Let j be (28/(-6))/((-46)/69). Let x = -2 + j. Solve 3 - x*a + 0*a - a + 3*a**2 = 0 for a.
1
Suppose -5*j + 15 = 0, 5*p = 4*j - 26 + 14. Let n(v) be the first derivative of 0*v + p*v**3 + 26 + 6/5*v**5 + 0*v**2 - 1/3*v**4 - 4/9*v**6. Factor n(m).
-2*m**3*(m - 2)*(4*m - 1)/3
Let x(n) be the second derivative of -32/5*n**5 + 2/15*n**6 + 578*n**2 + 74*n**4 + n + 11 + 1088/3*n**3. Factor x(p).
4*(p - 17)**2*(p + 1)**2
Let m be (117/2340)/((-2)/(-32)). Let o(q) be the first derivative of 2*q**2 - q**4 - 9 + m*q**5 - 4/3*q**3 + 0*q. Factor o(z).
4*z*(z - 1)**2*(z + 1)
Let i(c) = -c**4 + 2*c**3 - c**2. Let r(u) = 25*u**3 + 62*u**2 + 61*u + 20. Suppose 0 = -4*n - 2*j, 3*n + 0*j = -5*j + 7. Let m(h) = n*i(h) + r(h). Factor m(d).
(d + 1)**3*(d + 20)
Let h(n) be the second derivative of -44*n**2 - 13/15*n**6 + 37/6*n**4 + 19/10*n**5 - 204*n + 0 + 1/21*n**7 - 40/3*n**3. Find b, given that h(b) = 0.
-1, 2, 11
Let y(s) be the first derivative of 5*s**6/54 - 103*s**5/45 + 27*s**4/4 - 161*s**3/27 - 10*s**2/9 + 4*s + 4326. Solve y(t) = 0 for t.
-2/5, 1, 18
Let k be (24 + -30 + ((-6808)/(-48))/23)/((-4)/(-12)). Let 0*g**3 - 1/4*g**5 + 1/4*g + 0 - 1/2*g**4 + k*g**2 = 0. Calculate g.
-1, 0, 1
Let h(p) = -6*p**3 - 304*p**2 - 2880*p - 4800. Let n(w) = 3*w**3 + 150*w**2 + 1440*w + 2400. Let m(s) = -6*h(s) - 13*n(s). Determine z so that m(z) = 0.
-20, -2
Let t = -6/26513 - -159144/291643. Factor -4/11*b + 0 - 2/11*b**3 - t*b**2.
-2*b*(b + 1)*(b + 2)/11
Let u = 76571 - 76569. Find i, given that -2/19*i**u - 10/19*i - 8/19 = 0.
-4, -1
Let r be (84/(-12))/(791/(-339)). Let -441/2 + 1/4*v**r - 11*v**2 + 525/4*v = 0. Calculate v.
2, 21
Let p(k) = -14*k**2 - 34*k + 94. Let b be p(-4). Let q(x) be the first derivative of -8*x + 20/3*x**3 + b*x**2 + 4. Suppose q(n) = 0. What is n?
-1, 2/5
Let r = 193 + -190. Let k = -7 + 14. Find v, given that r*v**2 + v**2 - k*v**2 = 0.
0
Let k be ((-1320)/(-1920))/(6 + 1075/(-180)). Determine h, given that -33/2*h**3 + 15/4*h**4 - 15*h + k*h**2 + 3 = 0.
2/5, 1, 2
Let v be ((-2)/(-7))/(32/2856)*-44. Let m be ((-15)/(-1))/((v/4)/(-17)). Factor -26/11*b + 12/11 - m*b**2.
-2*(b + 3)*(5*b - 2)/11
Let o(j) be the first derivative of -5*j**3/6 + 250*j**2 - 25000*j - 2238. Factor o(k).
-5*(k - 100)**2/2
Suppose -99*x - 22120 = -22318. Factor -3/2*r**2 + 0*r + x + 1/2*r**3.
(r - 2)**2*(r + 1)/2
Suppose -4*o + 31*o = -7 + 88. Let f(x) be the second derivative of 2/11*x**4 + 3/22*x**5 + 0*x**2 + 0 + 8*x - 1/11*x**o. Find m such that f(m) = 0.
-1, 0, 1/5
Let q(u) = 7*u**2 + 57*u + 261. Let t(l) = 11*l**2 + 85*l + 384. Let x(c) = -8*q(c) + 5*t(c). Determine n, given that x(n) = 0.
-24, -7
Let u(y) be the third derivative of -7/6*y**3 + 1/220*y**5 + 0*y - 1/66*y**4 + 0 + 6*y**2 + 1/396*y**6. Let o(x) be the first derivative of u(x). Factor o(w).
2*(w + 1)*(5*w - 2)/11
Let k(j) be the third derivative of j**5/30 - 181*j**4/3 - 725*j**3/3 + 4*j**2 - 75. Factor k(x).
2*(x - 725)*(x + 1)
Let c(m) = 2*m**4 - 24*m**3 - 42*m**2 - 40*m. Let h(v) = -v**2 + v. Suppose 83*p - 72 = 77*p. Let x(l) = p*h(l) + c(l). Solve x(j) = 0.
-1, 0, 14
Find o, given that 33306*o**3 + 731/4*o**4 + 1/4*o**5 + 0 + 0*o - 33489*o**2 = 0.
-366, 0, 1
Let l(w) be the first derivative of -3*w**6 + 6024*w**5/5 - 167330*w**4 + 8129408*w**3 + 16708608*w**2 + 11239424*w + 151. Find u, given that l(u) = 0.
-2/3, 112
Let s(m) = -3*m**3 + 159*m**2 - 12*m + 638. Let p be s(53). Let -5/3*k**3 - 5*k**4 + 65*k**p - 115/3*k - 20 = 0. Calculate k.
-4, -1/3, 1, 3
Suppose -5*m = -2*u - 15, m - 4*u - 15 = -6*u. Let f = 2 - -2. Factor 26*h**5 + 5*h**4 + 0*h**f - 21*h**m.
5*h**4*(h + 1)
Let u = -27/1087 - -66219/40219. Let g = u + 2068/185. Factor 1248/5*s**2 + g + 896/5*s**3 + 512/5*s + 196/5*s**4.
4*(s + 2)**2*(7*s + 2)**2/5
Let z(g) = -4*g**2 - 114*g + 1198. Let i be z(8). Let f(k) be the first derivative of -245/4*k**4 + i*k - 205/2*k**2 - 2 + 140*k**3. Factor f(u).
-5*(u - 1)*(7*u - 3)*(7*u - 2)
Let b(a) be the second derivative of 5/3*a**2 + 0 - 88*a - 1/18*a**4 + 4/9*a**3. Solve b(j) = 0 for j.
-1, 5
Let s(b) be the first derivative of -b**6/630 + b**5/42 - b**3/3 + 25*b**2/2 - 15. Let q(d) be the third derivative of s(d). Let q(u) = 0. What is u?
0, 5
Suppose 5*c = 2*h - 3, -c + h = 2*h - 5. Let j be 1/(c*(-1)/(-5)). Find a, given that 9*a**j + 4*a**3 - 24*a**4 + 15*a**3 + 2*a**3 - 6*a**2 = 0.
0, 2/3, 1
Let p = 8695 + -4345. Factor p + 104*b**2 - 3*b**4 - 56*b**3 - 4546 + 56*b + 88*b**2 + 7*b**4.
4*(b - 7)**2*(b - 1)*(b + 1)
Factor -4/3*i**2 + 240 + 124/3*i.
-4*(i - 36)*(i + 5)/3
Let u(z) be the second derivative of -7*z**4/16 - 243*z**3/4 + 105*z**2 - 52*z + 11. Factor u(t).
-3*(t + 70)*(7*t - 4)/4
Suppose -5*f + 6*c + 54 = 0, 31 = -2*c - 0 + 13. Factor 2*g**2 - 2/3*g**4 + 0 - 4/3*g + f*g**3.
-2*g*(g - 1)**2*(g + 2)/3
Let q(t) be the third derivative of 50*t**2 + 0 + 0*t - 1/15*t**5 + 0*t**3 + 0*t**4 + 1/120*t**6. Factor q(c).
c**2*(c - 4)
Factor -14*i**4 + 8*i**4 + 13*i**4 - 1440 - 12*i**4 + 30*i**3 - 600*i + 140*i**2.
-5*(i - 6)**2*(i + 2)*(i + 4)
Let i(h) be the second derivative of 0*h**2 - 1/2*h**3 + 0 + 5/8*h**4 + 21/40*h**5 + 100*h. Factor i(r).
3*r*(r + 1)*(7*r - 2)/2
Factor 7498683/4 + 3/4*d**2 + 4743/2*d.
3*(d + 1581)**2/4
Let l = 127 + -49. Let h = l - 56. Let i(f) = 4*f**2 - 14*f + 12. Let o(y) = 21*y**2 - 70*y + 60. Let d(j) = h*i(j) - 4*o(j). Factor d(v).
4*(v - 6)*(v - 1)
Find a, given that 0 + 74/15*a + 14/3*a**3 - 146/15*a**2 + 2/15*a**4 = 0.
-37, 0, 1
Suppose 0 = -5*n + 35 - 10. Let u(l) = 3*l + 173*l**2 + 2*l + 35*l**4 - 10*l**3 - 203*l**2 - n. Let s(d) = -d**2 + d + 1. Let m(k) = 5*s(k) + u(k). Factor m(r).
5*r*(r - 1)*(r + 1)*(7*r - 2)
Factor 8047*l - 1368*l + 121*l + 4*l**2.
4*l*(l + 1700)
Let u(h) = 30*h**2 + 3*h + 4. Let a be u(-3). Suppose 0 = 16*c - 11*c - a. Factor j**2 - 53*j - 2*j**2 + 100*j - c*j.
-j*(j + 6)
Let o be (76/6)/(16/24). Let d(l) = -2*l + 42. Let v be d(o). Solve -2*a**4 - 3*a**5 + 4 - 3*a - 2*a**4 - 4*a**2 - 2 + 6*a**v + 6*a**3 = 0.
-1, 2/3, 1
Suppose 354 = -8*s + 386. Factor -7*m**2 + 2*m**s + 19*m - 6 - 3*m - 32*m - 5*m**2.
2*(m - 3)*(m + 1)**3
Let j(a) = -a**2 - 31117*a. Let v be j(0). Let d(h) = h**2 + h + 4. Let c be d(0). Factor 2/3*f**c + 0*f**2 + 0*f**3 + v*f + 0.
2*f**4/3
Let n(g) = g + 7. Let u(h) = 8*h**2 + 197*h - 3. Let t(x) = 4*n(x) + u(x). Let t(a) = 0. What is a?
-25, -1/8
Suppose -38 = -2*x + 26. Suppose 31*y = x*y - 2. Find c, given that -5*c - 35*c - 25*c**y - 20 - 26*c + 6*c = 0.
-2, -2/5
Let j = 84907/7455 + -139/2485. What is s in -50/3*s**3 - j*s - 80/3*s**2 - 4/3 = 0?
-1, -2/5, -1/5
Let h(i) = -i**3 + 12*i**2 - i + 12. Let q be h(12). Let t be (21/(-9) - -2)/((-112)/84)*8. Factor -3/7*k - 3/7*k**t + q.
-3*k*(k + 1)/7
Let t be (-4)/(9/(270/4)). Let i be (-8)/(-20)*t/(-6). Suppose -s**2 - 3 - s**i + 63*s**3 + 5 + 2*s - 65*s**3 = 0. Calculate s.
-1, 1
Let m(k) be the s