2 + 519*s**4 = 0. What is s?
-19, 0, 1
Let o(b) = 4*b**2 - 61*b - 303. Let c(t) = -2*t**2 + 30*t + 150. Let i(f) = 5*c(f) + 2*o(f). Factor i(j).
-2*(j - 18)*(j + 4)
Let t(g) = 25*g**2 - 15. Let w = 6338 - 6328. Let b(n) be the first derivative of -8*n**3/3 + 5*n + 1. Let c(u) = w*b(u) + 3*t(u). Factor c(l).
-5*(l - 1)*(l + 1)
Let x(l) be the third derivative of -l**8/17920 + 5*l**7/1344 - l**6/80 - 3*l**4/4 - l**3/2 + 39*l**2. Let a(z) be the second derivative of x(z). Factor a(d).
-3*d*(d - 24)*(d - 1)/8
Let t(w) be the second derivative of -w**6/90 - w**5/3 - 17*w**4/9 - 32*w**3/9 - 345*w + 4. Factor t(s).
-s*(s + 2)**2*(s + 16)/3
Let i(g) be the third derivative of g**5/75 + g**4/5 + 16*g**3/15 + 1218*g**2. Factor i(z).
4*(z + 2)*(z + 4)/5
Let b be (1/5)/(288/720). Let i(f) be the first derivative of 1/6*f**3 - 11 + b*f**2 - 3/2*f. Determine y, given that i(y) = 0.
-3, 1
Let p(v) be the first derivative of v**6/12 + 6*v**5/5 + 23*v**4/8 - 6*v**3 + 615. Suppose p(c) = 0. Calculate c.
-9, -4, 0, 1
Let v(g) = 891*g - 109. Let u be v(15). Let 13256*h + 8*h**5 + 4*h**4 + 36*h**2 - u*h - 48*h**3 = 0. Calculate h.
-3, 0, 1, 3/2
Let b(r) be the third derivative of -15/8*r**4 - 4/3*r**5 - 5/336*r**8 + 0*r - 1/7*r**7 - 5/3*r**3 + 90*r**2 - 7/12*r**6 + 0. Factor b(c).
-5*(c + 1)**4*(c + 2)
Let t(g) = -2*g**3 + g**2 + g + 1. Let s(b) = 41*b**3 + 58*b**2 - 96*b - 8. Let z(p) = -2*s(p) - 10*t(p). Find v such that z(v) = 0.
-3, -1/31, 1
Factor 2*p**3 + 10992*p**2 + 10676973075 + 18279434*p + 1857910*p + 1620231661.
2*(p + 1832)**3
Suppose -11 = -7*w + 6 - 3. Let a = -61/4 + 16. Let a*d + 1/4*d**w + 1/2 = 0. What is d?
-2, -1
Let y = 80181 - 160357/2. Factor -y*f**3 - 55/2*f + 15 + 15*f**2.
-5*(f - 3)*(f - 2)*(f - 1)/2
Let h(z) be the third derivative of 0*z**3 + 1/420*z**7 + 0*z - 1/80*z**6 + 0*z**4 + 0*z**5 + 55*z**2 + 0. Factor h(k).
k**3*(k - 3)/2
Let o = -135136 - -135138. Solve 0*m - 1/8*m**4 - 1/2*m**o - 5/8*m**3 + 0 = 0.
-4, -1, 0
Let g(m) = 8*m + 200. Let q be g(-17). Let w be (0 - 2)*(-160)/q. Solve -76/11*c**2 + 50/11*c**3 - 16/11 + 56/11*c - 16/11*c**4 + 2/11*c**w = 0.
1, 2
Let y(s) be the third derivative of -1/480*s**6 - s**2 - 15 + 0*s + 5/32*s**4 + 1/3*s**3 + 1/40*s**5. Factor y(b).
-(b - 8)*(b + 1)**2/4
Let q(i) = -i**3 - 3446*i**2 - 497729*i + 5. Let r(a) = 1722*a**2 + 248871*a - 3. Let z(y) = 3*q(y) + 5*r(y). Factor z(g).
-3*g*(g + 288)**2
Let y be ((-5)/(-3))/((-130)/(-30) + -4). Let g(q) = 6*q**2 + 7*q - 25. Let k(v) = -v + 3. Let j(l) = y*g(l) + 30*k(l). Suppose j(x) = 0. What is x?
-7/6, 1
Let x be 4 + (-7 + 8)/((-8)/(-8) + 0). Let c(k) be the third derivative of 1/360*k**6 + 0*k - 9*k**2 + 1/24*k**4 + 1/60*k**x + 0 + 1/18*k**3. Factor c(o).
(o + 1)**3/3
Suppose 178*r - 22 = 5*r + 91 + 406. Find b such that 0 - 22/17*b + 20/17*b**2 + 2/17*b**r = 0.
-11, 0, 1
Let m be ((-252)/24 + 9)/(6/92). Let a = -23 - m. Let a + 2/7*r + 1/7*r**2 = 0. Calculate r.
-2, 0
Let g be 3/4*1 - 814/1184. Let y(l) be the first derivative of 0*l - 3/4*l**2 - 7/12*l**3 - 22 - g*l**4. Factor y(t).
-t*(t + 1)*(t + 6)/4
Let w(n) be the third derivative of -n**6/720 + n**4/12 + 17*n**3/3 - 2*n**2 - 3. Let b(a) be the first derivative of w(a). Find f, given that b(f) = 0.
-2, 2
Let f(w) be the third derivative of w**7/175 - 49*w**6/300 - 287*w**5/150 - 151*w**4/60 + 28*w**3/5 + 41*w**2 - 3*w + 2. Find a such that f(a) = 0.
-4, -1, 1/3, 21
Let t be (-75)/(-14) + 13 + (-175)/10. Determine i so that -3/7*i**3 + 0 + 9/7*i**2 - t*i = 0.
0, 1, 2
Let q = -46226/5 + 9147. Let y = -4414/45 - q. Factor 14/9*b**4 - 176/9*b - y*b**5 + 64/9 - 73/9*b**3 + 172/9*b**2.
-(b - 4)**3*(b - 1)**2/9
Let y = 7702 - 7702. Let o(b) be the first derivative of 0*b**5 - 10/3*b**3 + 15/4*b**4 + y*b + 0*b**2 + 9 - 5/6*b**6. Factor o(k).
-5*k**2*(k - 1)**2*(k + 2)
Let y = -409755 - -409757. Suppose -2/3*o**y - 22/3*o + 0 = 0. Calculate o.
-11, 0
Let q(k) = k**2 + k - 2. Let o(d) = d**3 - 3*d**2 - 2*d + 2. Let a be o(1). Let w(v) = 4*v**2 + 3*v - 10. Let m(j) = a*w(j) + 9*q(j). Solve m(i) = 0 for i.
-2, -1
Let g be 3/18 + 11/6. Factor 31*c**4 + 12101*c**g + 374*c**4 + 339*c**2 + 720 + 6240*c - 4680*c**3.
5*(c - 6)**2*(9*c + 2)**2
Let k(o) be the first derivative of -o**5/30 - o**4 - 12*o**3 + o**2 - 20*o + 25. Let c(a) be the second derivative of k(a). Suppose c(i) = 0. What is i?
-6
Let y = -145 + 213. Let p = y + -51. Suppose -3*g**2 - g**3 - 14*g**2 + p*g**2 = 0. What is g?
0
Factor 55/4*d**2 + 57/4 - 1/4*d**3 + 113/4*d.
-(d - 57)*(d + 1)**2/4
Let z(d) be the first derivative of d**5 + 155*d**4/4 - 160*d**3/3 - 6595. Factor z(p).
5*p**2*(p - 1)*(p + 32)
Determine q, given that 97877 - 9683 - 146*q + 62531 - 10100 - 604*q + q**2 = 0.
375
Solve -17654/5*f**3 + 1456/5*f + 66248/5 - 2/5*f**5 - 74*f**4 - 49678/5*f**2 = 0.
-91, -2, 1
Determine t, given that 4339 + 11661 - 2677*t + 116*t**4 - 4457*t + 15521*t - 2*t**5 - 2162*t**3 + 21213*t + 11320*t**2 = 0.
-1, 20
Let i be 0/(-112)*((-9)/7 - (-10)/35). Factor i + 1/6*c - 1/6*c**5 + 1/3*c**4 - 1/3*c**2 + 0*c**3.
-c*(c - 1)**3*(c + 1)/6
Let f(w) be the third derivative of -22*w**7/735 + 51*w**6/140 + 127*w**5/70 + 215*w**4/84 + 3*w**3/7 - 109*w**2 - 6. Determine t so that f(t) = 0.
-1, -1/22, 9
Let h be (4/2)/(384/960). Let n(r) be the first derivative of -29 - 2/3*r**4 - 16/3*r - 4/15*r**h + 8/3*r**2 + 4/3*r**3. Factor n(w).
-4*(w - 1)**2*(w + 2)**2/3
Let j(t) = 155*t - 5265. Let o be j(34). Suppose 2*m = 5*m + 2*n - 18, -2*n = -6. Find b, given that -1/4*b**o - b**2 + 0*b + 0*b**3 + 3/4*b**m + 0 = 0.
-1, 0, 2
Let a(c) be the third derivative of -c**6/120 - 16*c**5/15 - 61*c**4/8 + 1824*c**2. Suppose a(k) = 0. Calculate k.
-61, -3, 0
Suppose 3*f - 8 - 10 = q, 3*f - 5*q = 30. Factor -168*j**3 + 9*j**4 - 212*j - 60 - 48*j**4 + 15*j**2 - 6*j**5 - 295*j**2 - 5*j**4 + 2*j**f.
-4*(j + 1)**3*(j + 3)*(j + 5)
Let 1800 + 1872 + q**2 + 244*q + 4110 + 1005 + 6097 = 0. What is q?
-122
Let n be (-12)/(-264)*2/(-58)*8. Let h = n - -658/1595. Factor -2*x - 8/5*x**2 - h.
-2*(x + 1)*(4*x + 1)/5
Let d = -205948 + 205950. Factor 1805/6 + 95/3*s + 5/6*s**d.
5*(s + 19)**2/6
Solve 163*g**5 - 122*g**2 + 66*g**5 - 237*g**5 + 26*g**4 + 32*g**3 + 72 = 0 for g.
-2, -3/4, 1, 2, 3
Determine u, given that -574 + 36 + 113*u**3 - 526 + 723*u - 125*u**2 - 112*u**3 - 7 = 0.
3, 119
Let n(w) be the second derivative of -w**8/420 + w**7/70 + w**6/10 + w**5/6 + 37*w**3/3 - 21*w - 2. Let i(l) be the second derivative of n(l). Factor i(k).
-4*k*(k - 5)*(k + 1)**2
Find o, given that -4/3 - 8054/3*o**2 - 2686*o = 0.
-1, -2/4027
Let v(c) be the first derivative of c**6/12 - 23*c**5/10 - 25*c**4/4 - c**3/3 + 49*c**2/4 + 25*c/2 + 3274. Solve v(t) = 0 for t.
-1, 1, 25
Suppose 30*f - 93 = 13 - 16. Let s be (-16)/(-56) + (-118)/(-28). Factor -3/2 + 3/2*h**5 - f*h**2 - 9/2*h + 3*h**3 + s*h**4.
3*(h - 1)*(h + 1)**4/2
Let u(x) be the first derivative of x**7/8820 + x**6/108 + 8*x**5/35 - 9*x**4/7 + 2*x**3/3 - 26. Let y(q) be the third derivative of u(q). Factor y(l).
2*(l - 1)*(l + 18)**2/21
Suppose 32/21 - 74/21*r**3 + 128/21*r**2 - 104/21*r + 20/21*r**4 - 2/21*r**5 = 0. What is r?
1, 2, 4
Suppose 2*q - 3*q - 2 = 0, 4*q + 35 = k. Suppose -4*y + 16 = -4*s, 5*s - 7 = -y - k. Suppose 2/5*a**3 + y + 2*a**5 - 4/5*a**2 + 0*a + 16/5*a**4 = 0. What is a?
-1, 0, 2/5
Suppose -4305/2*x - 5/2*x**3 - 1075 - 1080*x**2 = 0. What is x?
-430, -1
Suppose 4*q - 133 = -0*q - d, -5*d = -q + 7. Suppose 0*m = -4*m + q. Suppose 5*b**4 - 8*b**3 - 10*b**4 + m*b + 4*b**2 + b**4 = 0. What is b?
-2, -1, 0, 1
Suppose -5*x - 791 = 3*v - 761, 0 = -x + v + 10. Factor x - 2/7*n - 9/7*n**2 + 5/7*n**3.
n*(n - 2)*(5*n + 1)/7
Let t(l) be the third derivative of 1/420*l**6 - 1/35*l**5 - 1/84*l**4 + 6*l + 0 + 6*l**2 + 2/7*l**3. Factor t(c).
2*(c - 6)*(c - 1)*(c + 1)/7
Factor 14*b + 0 + 1/5*b**3 - 71/5*b**2.
b*(b - 70)*(b - 1)/5
Let b(y) = 11*y + 4. Let q be b(2). Suppose -4*f = -5*x - 6*f + 18, -5*x - 4*f = -q. Factor 2*n**4 - x*n**3 - 6*n**2 - 9*n**2 - 2*n**2 + 13*n**2.
2*n**2*(n - 2)*(n + 1)
Let c(j) be the second derivative of 1 + 18*j + 0*j**2 + 5/42*j**7 - 1/4*j**5 + 0*j**3 - 5/12*j**4 + 1/6*j**6. Factor c(f).
5*f**2*(f - 1)*(f + 1)**2
Let u(n) be the second derivative of -n**6/6 - 167*n**5 - 141100*n**4/3 - 1102240*n**3/3 + 1004