(7*s - 2)/3
Let i(w) be the third derivative of 0*w**3 + 23*w**2 + 17/48*w**4 + 1/240*w**6 + 0*w + 3/20*w**5 - 1. Find s such that i(s) = 0.
-17, -1, 0
Factor -10*g**3 + 1199*g + 6601 + 1697*g - 825 + 6246*g + 5070*g - 574*g**2.
-2*(g - 19)*(g + 76)*(5*g + 2)
Let r(b) = -7*b**4 + 21*b**3 - 35*b**2 - 13*b + 58. Let u(p) = p**4 - p**2 + p - 1. Let q = 175 + -171. Let g(z) = q*u(z) + r(z). Determine s so that g(s) = 0.
-1, 2, 3
Let g(n) = n**3 - n**2. Let f be g(0). Suppose f*o - 14 = -7*o. Factor -39*y - 17*y**2 - 10*y**2 + 24*y**o.
-3*y*(y + 13)
Let h(v) = v**2 - 131*v - 4255. Let f be h(-27). Let c(j) be the first derivative of 6/5*j**5 - f + 0*j**2 - 3/2*j**4 - 1/3*j**6 + 0*j + 2/3*j**3. Factor c(r).
-2*r**2*(r - 1)**3
Let g(x) = x**2 + 15*x - 322. Let d be g(-27). Let b be (4560/4095)/19 - d/(-21). Find j, given that -b*j**2 - 6/13 + 8/13*j = 0.
1, 3
Let o = -51 + 53. Let -45 + 19 + 26 + 4*p**o + 8*p = 0. What is p?
-2, 0
Let n(v) = 0*v**3 + 8 - 38*v**2 + 154691*v - 154683*v + 10*v**3. Let w(f) = -9*f**3 + 38*f**2 - 9*f - 6. Let k(m) = 3*n(m) + 4*w(m). Factor k(z).
-2*z*(z - 6)*(3*z - 1)
Let j(b) be the second derivative of -b**7/24 - 51*b**6/20 - 2049*b**5/40 - 2045*b**4/6 - 5909*b**3/8 + 3249*b**2/4 - 412*b. Solve j(q) = 0.
-19, -3, 2/7
Suppose 4590 = 993*l + 618. Factor 0*f + 1/6*f**5 - 1/2*f**l + 0*f**3 + 0 + 2/3*f**2.
f**2*(f - 2)**2*(f + 1)/6
Let l = -4449 - 2504. Let w = l + 48911/7. Determine p, given that -48/7 - w*p**2 + 288/7*p + 9*p**4 - 660/7*p**3 + 21*p**5 = 0.
-2, -1, 2/7, 2
Factor -2250 - 8/5*w**3 - 9060*w - 1202/5*w**2.
-2*(w + 75)**2*(4*w + 1)/5
Suppose j + 38*k = 40*k - 20, 0 = 2*j - 3*k + 36. Let n(l) = -4*l - 45. Let r be n(j). Factor 95/6*v + 55/2*v**2 + 5/2 + 15/2*v**r.
5*(v + 3)*(3*v + 1)**2/6
Let n(i) = -9*i**5 - 46*i**4 + 71*i**3 - 19*i**2 - 19*i + 76. Let l(g) = -g**5 - 5*g**4 + 8*g**3 - 2*g**2 - 2*g + 8. Let j(z) = -38*l(z) + 4*n(z). Factor j(x).
2*x**3*(x - 2)*(x + 5)
Suppose -287*r - 139*r + 1704 = 0. Suppose 8/7*t**2 - 2*t**5 + 0 + 0*t + 46/7*t**r - 40/7*t**3 = 0. What is t?
0, 2/7, 1, 2
Let d(j) be the third derivative of -j**6/60 - 13*j**5/15 - 35*j**4/4 - 6*j**2 - 49*j. Factor d(c).
-2*c*(c + 5)*(c + 21)
Let m(z) be the second derivative of -z**5/90 - z**4/9 - z**3/3 - 5*z**2/2 - 8*z - 2. Let r(k) be the first derivative of m(k). Solve r(v) = 0 for v.
-3, -1
Suppose -40*d**2 + 196/5*d**3 + 0*d + 4/5*d**4 + 0 = 0. What is d?
-50, 0, 1
Let s(x) be the first derivative of -x**6/1080 - x**5/90 - x**4/24 - 37*x**3/3 - 23. Let o(g) be the third derivative of s(g). Factor o(m).
-(m + 1)*(m + 3)/3
Let u(s) be the first derivative of -s**3/12 - 51*s**2/2 - 2601*s + 1432. Factor u(t).
-(t + 102)**2/4
Let c(f) be the third derivative of 5*f**8/84 + 83*f**7/42 + 271*f**6/24 + 275*f**5/12 + 245*f**4/24 - 85*f**3/3 + 75*f**2. Solve c(g) = 0 for g.
-17, -2, -1, 1/4
Let l(r) be the first derivative of -2*r**5/55 - 2*r**4/11 + 50*r**3/33 + 16*r**2/11 - 168*r/11 - 4351. Solve l(p) = 0.
-7, -2, 2, 3
Factor 910*f**3 - 100 - 453*f**3 - 459*f**3 - 44*f**2 + 30*f + 116*f.
-2*(f - 2)*(f - 1)*(f + 25)
Let r(y) be the third derivative of y**6/480 - 7*y**5/240 - y**4/96 + 7*y**3/24 + 5626*y**2. Let r(h) = 0. What is h?
-1, 1, 7
Let -1/7*s**3 + 6 + 40/7*s**2 + 83/7*s = 0. Calculate s.
-1, 42
Let y(a) be the first derivative of -251 - 1/12*a**3 - 13/8*a**2 + 15/2*a. Factor y(j).
-(j - 2)*(j + 15)/4
Suppose -t = i - 2*i - 2, 5*t + 2*i = -25. Let h(z) = 0*z + 4*z**2 + 7 - 2*z - 5*z. Let v(m) = -m**2 + m - 1. Let c(l) = t*v(l) - h(l). Solve c(w) = 0.
2
Let z(t) = 5*t**2 + 86*t + 85. Let o be z(-1). Let h(d) be the second derivative of o*d - d**4 + 8/3*d**3 + 8*d**2 + 0. Suppose h(a) = 0. What is a?
-2/3, 2
Let c(p) be the second derivative of -p**4/6 + 71*p**3/3 - 70*p**2 - 813*p. Determine b so that c(b) = 0.
1, 70
Suppose 24*y + 2542 - 2686 = 0. Let u(b) be the first derivative of 8/3*b**3 + 1/3*b**y + 0*b**2 + 16 + 0*b - 6/5*b**5 + 0*b**4. What is s in u(s) = 0?
-1, 0, 2
Suppose -2*g + 1 = 5*d, 3474*d - 7 = -g + 3478*d. Let z(v) be the second derivative of -15*v**2 + 0 - 25/6*v**g + v + 5/12*v**4. Factor z(i).
5*(i - 6)*(i + 1)
Find w, given that -104/5*w**2 + 34/5*w**4 - 68/5*w + 1/5*w**5 - 3/5*w**3 + 0 = 0.
-34, -1, 0, 2
Suppose -5*w + 3*w = -2*u - 10, 3*w - 5*u - 5 = 0. Determine n so that 3*n**2 + 6*n**2 - w*n**2 - 144 + 18*n + 6*n = 0.
12
Let w = 492 + -424. Suppose -w*n + 19*n + 196 = 0. Determine y, given that -12/5*y**3 + 16/5*y - 16/5*y**2 + 16/5*y**n + 0 - 4/5*y**5 = 0.
-1, 0, 1, 2
Let b = 35 - 11. Suppose -9*r + 3*r + b = 0. Factor -r*x**2 - 9*x - x**2 + 2 + 2*x + 4*x.
-(x + 1)*(5*x - 2)
Let k(s) be the third derivative of -s**6/280 + s**5/35 + 51*s**4/56 + 45*s**3/7 - 10*s**2 + 4*s - 25. Factor k(r).
-3*(r - 10)*(r + 3)**2/7
Let w = 1999/2415 + -187/345. Factor -10/7*o**2 + 2/7*o + w + 6/7*o**3.
2*(o - 1)**2*(3*o + 1)/7
Let r(o) = 7*o**5 - 172*o**4 - 2*o**3 + 4*o**2. Let x(g) = -15*g**5 + 345*g**4 + 5*g**3 - 10*g**2. Let a(s) = 5*r(s) + 2*x(s). Factor a(h).
5*h**4*(h - 34)
Let r = 269020/33 - 8152. Let w(h) be the first derivative of 0*h + r*h**3 + 3/22*h**4 - 4/11*h**2 + 1/66*h**6 - 1/11*h**5 + 1. Let w(v) = 0. Calculate v.
-1, 0, 2
Let p(g) be the first derivative of -g**9/13608 + g**7/1890 - g**5/540 + g**3 + 3*g + 9. Let j(o) be the third derivative of p(o). Solve j(a) = 0 for a.
-1, 0, 1
Suppose -n - 2 = -2*q + 4, q = -2*n + 13. Suppose -4*k + 17 = q. Factor 6*l**2 + 18*l - 2*l**3 + 2*l**3 - 13*l + l**k.
l*(l + 1)*(l + 5)
Let x(q) be the second derivative of -5*q**4/4 + 6*q**3 - 21*q**2/2 + 97*q. Let x(u) = 0. Calculate u.
1, 7/5
Let s(f) be the second derivative of f**6/540 - 13*f**5/180 + f**4/3 + 45*f**3/2 + 11*f - 2. Let i(m) be the second derivative of s(m). Factor i(z).
2*(z - 12)*(z - 1)/3
Suppose -5*j - 4*x + 11 = -53, -x = 4*j - 60. Determine v so that -v**5 + 14*v**2 - v**3 - j*v - 38*v**2 + v**5 + 6*v**4 - v**5 = 0.
-1, 0, 4
Solve 10562*i - 6*i**2 + 2*i**2 - 19779*i + 9829*i = 0.
0, 153
Let h(u) = -12*u**3 + 353*u**2 - 30*u - 339. Let w(s) = -s**3 - 5*s + 2. Let p(f) = -5*h(f) + 35*w(f). Determine t so that p(t) = 0.
-1, 1, 353/5
Let z(f) = -2*f**2 - 98*f + 3. Let p be z(-49). Suppose 21 = 3*k + 3*t, -p*t + 45 = 4*k + 22. Factor -4/3 - 2/15*n**k - 14/15*n.
-2*(n + 2)*(n + 5)/15
Let f(z) = z**2 + z - 1. Let v(m) = -7*m**2 - 9*m + 7. Let g(y) = -y + 5*y + y**2 + y - 4*y. Let a(d) = g(d) + v(d). Let l(i) = 3*a(i) + 21*f(i). Factor l(o).
3*o*(o - 1)
Let g = 413 - 395. Suppose 0 = a - 4*b - g, 45*b = 3*a + 40*b - 26. Solve 0 - 2*h**3 - 32/7*h**a - 8/7*h = 0.
-2, -2/7, 0
Let i(m) = -m**3 - 6*m**2 - 8*m + 21. Let r be i(-4). Suppose 0 = 2*a + r - 25. Let 15/4*b + 9/8*b**a + 9/8 = 0. Calculate b.
-3, -1/3
Let b(i) be the third derivative of -i**5/20 - 57*i**4/4 + 116*i**3 - 27*i**2 + 23. Factor b(w).
-3*(w - 2)*(w + 116)
Determine s, given that 192/5 - 4*s - 2/5*s**2 = 0.
-16, 6
Let v(x) be the second derivative of x**4/3 + 136*x**3/3 + 390*x**2 - 10*x - 116. Determine u so that v(u) = 0.
-65, -3
Let v(a) be the third derivative of 961*a**5/150 - 341*a**4/15 + 484*a**3/15 - a**2 - 4374. Factor v(h).
2*(31*h - 22)**2/5
Factor 23/2 + 1/4*q**2 + 47/4*q.
(q + 1)*(q + 46)/4
Let i be (-51 + 47 - (-91)/(-63)*-4)/((-4)/(-3)). Find v, given that 12*v + i*v**2 + 80/3 = 0.
-5, -4
Let q = 151 + -152. Let b(u) = -u**3 + u**2 + u. Let a(m) = 9*m**3 - 74*m**2 + 121*m - 60. Let o(z) = q*a(z) - 4*b(z). Factor o(y).
-5*(y - 12)*(y - 1)**2
Let a(b) be the first derivative of 3*b**4/20 - 18*b**3/5 + 51*b**2/10 - 2071. Factor a(h).
3*h*(h - 17)*(h - 1)/5
Suppose 4 = 2*u, 2*t + 3*t + 4*u = 33. Let w(f) = -f**2 + 12*f - 31. Let r be w(t). Factor 3*g**3 - 16 + 9*g**2 + 0 + r.
3*(g - 1)*(g + 2)**2
Determine y so that 2/13*y**4 + 1184/13*y**3 + 0 + 0*y + 175232/13*y**2 = 0.
-296, 0
Factor -7*w**2 + 429 + 119 + 270*w + 14*w**2 + 12 - 12*w**2.
-5*(w - 56)*(w + 2)
Suppose 7*d - 4*d = 2*g + 43, 4*g - 4 = 0. Let p be (-16)/(-192)*(d + 0). Let 1/2*t**2 - p*t + 1/4*t**3 - 3/2 = 0. What is t?
-3, -1, 2
Let f(x) be the first derivative of x**4/10 - 18*x**3/5 + 243*x**2/5 - 23*x - 20. Let u(t) be the first derivative of f(t). Factor u(m).
6*(m - 9)**2/5
Let b(y) be the third derivative of y**5/210 + 13*y**4/84 - 30*y**3/7 - 283*y**2 - y. Factor b(