+ y**2 + 18*y**5 = 0. What is y?
-11, -1, 1
Let s(d) = -2*d**2 - 13*d - 4. Let g be s(-6). Determine b, given that -14 + 20 + 2*b**2 + 12*b + 6 + b**g = 0.
-2
Factor 1218*f + 4*f**2 + 307 - 472*f - 6*f**2 + 441.
-2*(f - 374)*(f + 1)
Let o(x) be the second derivative of -x**7/525 - x**6/150 + x**5/50 - 31*x**2/2 - x - 41. Let d(k) be the first derivative of o(k). Factor d(w).
-2*w**2*(w - 1)*(w + 3)/5
Suppose 0 = -2*z + 7 - 15, -3*p = 5*z + 3386. Let x = p - -1124. Factor 2/7*r**3 + 2/7*r**4 + 0 + 0*r - 4/7*r**x.
2*r**2*(r - 1)*(r + 2)/7
Let p(w) be the first derivative of -w**6/120 - 17*w**5/10 - 289*w**4/2 + 13*w**3/3 + 27. Let r(u) be the third derivative of p(u). Find v, given that r(v) = 0.
-34
Suppose 44/17*m - 2/17*m**2 + 0 - 44/17*m**3 + 2/17*m**4 = 0. Calculate m.
-1, 0, 1, 22
Let i(t) be the first derivative of 3*t**5/5 + 279*t**4/4 + 2295*t**3 + 18225*t**2/2 - 6028. Factor i(s).
3*s*(s + 3)*(s + 45)**2
Solve -345*r**2 - 175*r**2 - 1505*r**3 - 16900*r + 1501*r**3 = 0 for r.
-65, 0
Let j(r) be the first derivative of -5*r**4/12 - 25*r**3/2 + 40*r**2 + 47*r + 34. Let u(f) be the first derivative of j(f). Factor u(w).
-5*(w - 1)*(w + 16)
Suppose -3*w = 2*w - 10. Factor m**w - 11*m**2 + 7*m**2 + 6*m + 9.
-3*(m - 3)*(m + 1)
Let z(d) be the first derivative of d**4/16 + d**3/6 - 5*d**2/8 - 3*d/2 + 450. Factor z(i).
(i - 2)*(i + 1)*(i + 3)/4
Suppose 3*a + 5*g = a - 159, -g = -a - 62. Let w = a - -72. Find h such that 16*h + 621*h**2 - 30*h**4 - 8*h**3 - 6 - 293*h**2 - 292*h**2 - 8*h**w = 0.
-3, -1, 1/4, 1
Suppose -d = 2*n - 3*d - 34, 0 = -2*n + 5*d + 49. Let m(w) be the first derivative of -w**3 - 16*w**2 - 12*w + 5/4*w**4 + n. Determine l, given that m(l) = 0.
-2, -2/5, 3
Let c(m) be the third derivative of m**5/20 + 2*m**4 - 17*m**3/2 + 743*m**2 - 3*m. Let c(h) = 0. What is h?
-17, 1
Let p(t) be the third derivative of t**6/90 - 4*t**5/45 + t**4/18 + 4*t**3/3 - 233*t**2. Let p(k) = 0. What is k?
-1, 2, 3
Factor 7469208/5*h - 6/5*h**4 + 5484/5*h**3 - 1269438/5*h**2 - 11130264/5.
-6*(h - 454)**2*(h - 3)**2/5
Let m = -2337 - -2337. Let y(v) be the second derivative of -8/3*v**3 - 1/3*v**4 + m - 6*v**2 - 16*v. Factor y(g).
-4*(g + 1)*(g + 3)
Factor -85/3*a**2 + 65/3*a - 5 + 35/3*a**3.
5*(a - 1)**2*(7*a - 3)/3
Let i = -9166/2905 - -1428/415. Solve 6 + i*h**2 + 44/7*h = 0.
-21, -1
Factor 6272/13 + 450/13*a**2 - 3360/13*a.
2*(15*a - 56)**2/13
Factor 0 + 645/7*g**3 + 6*g**4 - 3/7*g**5 + 0*g + 1800/7*g**2.
-3*g**2*(g - 24)*(g + 5)**2/7
Let f(y) be the second derivative of 72*y + 1 + 1/30*y**5 - 7/27*y**3 + 7/27*y**4 - 10/9*y**2. Let f(g) = 0. What is g?
-5, -2/3, 1
Let k be (-18)/(5828/13454*-14 + 2/31). Factor 2/7*w**4 + 0 + 2/7*w**k + 0*w - 4/7*w**2.
2*w**2*(w - 1)*(w + 2)/7
Determine u so that 2/5*u**4 + 0 - 92/5*u**3 - 336/5*u + 344/5*u**2 = 0.
0, 2, 42
Let f(x) be the first derivative of x**6/3 + 4*x**5 + 4*x**4 - 20*x**3/3 - 9*x**2 - 515. Solve f(n) = 0 for n.
-9, -1, 0, 1
Let x(c) = 3*c**2 + 8528*c - 18198732. Let d(l) = 10*l**2 + 25583*l - 54596190. Let a(u) = 4*d(u) - 13*x(u). Let a(m) = 0. What is m?
4266
Factor -45*t + 31*t**2 + 63*t - 18*t**3 - 52*t**2 + 21*t**4.
3*t*(t - 1)*(t + 1)*(7*t - 6)
Let t(m) = 9941*m - 19880. Let k be t(2). Let 56/9*d + 2/9*d**5 + 16/3 - 28/9*d**k + 8/9*d**4 - 10/3*d**3 = 0. Calculate d.
-6, -1, 2
Determine u so that 13/5*u**3 + 1/5*u**4 - 37/5*u + 26/5 - 3/5*u**2 = 0.
-13, -2, 1
Let f(m) be the second derivative of 49*m**4/4 + 175*m**3 + 1875*m**2/2 + 656*m. Find b such that f(b) = 0.
-25/7
Let j(c) be the first derivative of -4*c**5/35 + c**4/7 + 36*c**3/7 + 54*c**2/7 - 216*c/7 - 4006. Determine i, given that j(i) = 0.
-3, 1, 6
Let m(z) = z**5 + 83*z**4 - 983*z**3 + 3465*z**2 - 3*z. Let f(c) = 4*c**5 + 414*c**4 - 4916*c**3 + 17326*c**2 - 14*c. Let y(b) = 3*f(b) - 14*m(b). Factor y(p).
-2*p**2*(p - 17)**2*(p - 6)
Let k(v) be the first derivative of -v**6/60 - 17*v**5/15 - 26*v**2 - v + 170. Let m(i) be the second derivative of k(i). Factor m(n).
-2*n**2*(n + 34)
Suppose -38 = -z + 5*m, -2*z + 24*m - 16*m = -62. Let 9/2*i**3 + 0 + 0*i + 3/2*i**4 + z*i**2 = 0. What is i?
-2, -1, 0
Let j(g) be the third derivative of -1/270*g**5 + 1/27*g**4 + 0 - 4/27*g**3 + 0*g - 36*g**2. Determine a, given that j(a) = 0.
2
Let g(l) be the first derivative of 10 - 75/2*l**2 - 45*l - 35/3*l**3 - 5/4*l**4. Solve g(n) = 0.
-3, -1
Determine g, given that -365/2*g + 5/4*g**2 + 26645/4 = 0.
73
Let m(r) be the third derivative of -4/3*r**3 - 1/2*r**4 - 1/120*r**6 + 1 - 1/10*r**5 + 0*r + 39*r**2. Find s, given that m(s) = 0.
-2
Suppose -4*y - 50 = c, 3*y - 13992 + 14025 = -3*c. Let -16*a**c - 48/7*a - 32/7*a**4 - 4/7*a**5 - 92/7*a**3 + 0 = 0. Calculate a.
-3, -2, -1, 0
Suppose -5*y = -2*r - 6, -r = 11 - 8. Let -152*x**3 + 155*x**3 - 18 + 0*x**2 + y*x**2 + 6*x**2 - 15*x = 0. Calculate x.
-3, -1, 2
Let i(j) be the second derivative of 315*j**4/4 + 955*j**3/6 + 5*j**2 - 46*j + 21. Find b such that i(b) = 0.
-1, -2/189
Suppose 5*v + a - 3259 = -0*v, 0 = -4*a - 4. Let q = -648 + v. Factor 2/9*u**5 - 4/9*u**3 - 14/9*u - 16/9*u**2 - 4/9 + 4/9*u**q.
2*(u - 2)*(u + 1)**4/9
Let s be (-79 - (-5)/5) + 1*-3. Let m = s - -91. Factor -6*a**3 + 11*a**3 - 16*a**2 + m*a**4 - 8*a + 9*a**3.
2*a*(a - 1)*(a + 2)*(5*a + 2)
Let z(n) be the second derivative of -n**5/80 + 269*n**4/48 + 541*n**3/24 + 271*n**2/8 + 6*n + 9. Factor z(r).
-(r - 271)*(r + 1)**2/4
Let x = 383/18 + -15311/720. Let w(m) be the third derivative of 17*m**2 + 0 + 0*m - 9/2*m**3 - 1/5*m**5 + x*m**6 + 21/16*m**4. Factor w(s).
3*(s - 3)**2*(s - 2)/2
Let c(o) be the third derivative of 17/210*o**5 - 1/140*o**6 + 3*o**2 - 1/3*o**4 - 19 + 4/7*o**3 + 0*o. Find w, given that c(w) = 0.
2/3, 2, 3
Let j(i) be the third derivative of i**8/112 - 47*i**7/35 - 36*i**6/5 - 29*i**5/2 - 97*i**4/8 + 1006*i**2. Suppose j(s) = 0. What is s?
-1, 0, 97
Let o(c) = 23*c**3 + 439*c**2 + 1462*c + 242. Let k(r) = -41*r**3 - 880*r**2 - 2923*r - 479. Let q(d) = -2*k(d) - 5*o(d). Factor q(x).
-3*(x + 6)*(x + 7)*(11*x + 2)
Let c = 1067915 + -9609553/9. Factor -c - 2/9*u**2 - 116/9*u.
-2*(u + 29)**2/9
Let l(c) be the first derivative of -c**5/45 + c**4/18 + 5*c**3/9 + 2*c**2/9 - 20*c/9 + 785. Find h, given that l(h) = 0.
-2, 1, 5
Let b(w) be the first derivative of -20/3*w**3 + 25/4*w**4 + 7/2*w**2 + 0*w + 20 - 7/12*w**5. Let l(g) be the second derivative of b(g). Factor l(p).
-5*(p - 4)*(7*p - 2)
Let d = -13180/13 - -172381194/170027. Let k = 1765673/52316 + d. Suppose -125/4*y**3 + 225/4*y**2 - k*y + 27/4 = 0. What is y?
3/5
Let q(n) be the second derivative of -n**5/70 - 20*n**4/21 - 533*n**3/21 - 338*n**2 + 1273*n. What is o in q(o) = 0?
-14, -13
Let p(q) = -q**3 + q**2 - 18*q + 1. Let a(k) = -k**4 - 24*k**3 + 81*k**2 - 38*k - 1. Let u(z) = 3*a(z) + 3*p(z). What is b in u(b) = 0?
-28, 0, 1, 2
Let q be (126/105)/(18/50). Let m = 596/3 + -192. Let -5*d**2 + m + 5/3*d**4 + q*d**3 - 20/3*d = 0. What is d?
-2, 1
Suppose 5*r - 68 = -3*n, -2*n - 3 = -5. Let t be (-10)/4*12/(-15). Factor 9*l**t - r*l**2 + 0 + 16.
-4*(l - 2)*(l + 2)
Let t(p) be the third derivative of -p**6/180 + 13*p**5/5 - 507*p**4 - 69*p**3/2 + p**2 + p. Let i(v) be the first derivative of t(v). Factor i(h).
-2*(h - 78)**2
Let l(z) = -z**4 - 398*z**3 - 409*z**2 + 3*z - 6. Let t(k) = -k**4 - 3*k**2 + k - 2. Let j(q) = -2*l(q) + 6*t(q). Determine s, given that j(s) = 0.
-1, 0, 200
Let j be ((-30)/8)/((-665)/(-285)*(-18)/14). Factor 5/4*x**5 + 0*x + 5/4*x**4 - j*x**2 - 5/4*x**3 + 0.
5*x**2*(x - 1)*(x + 1)**2/4
Suppose 16*b - 4 = 14*b. Let u(c) = -c**2 + 4*c. Let y be u(b). Factor 2*j**y - 112 + j**5 + 112 + j**5.
2*j**4*(j + 1)
Let l be (5 + -4)/(10 + ((-65)/26 - 7)). Factor 1/7*m**l - 18/7 - m.
(m - 9)*(m + 2)/7
Let u(k) be the second derivative of -k**7/126 - 11*k**6/45 + k**5/20 + 17*k**4/9 + 22*k**3/9 + 2484*k. Solve u(o) = 0 for o.
-22, -1, 0, 2
Suppose 468 = -566*p + 683*p. Let q(k) be the first derivative of 0*k**3 + 0*k + 0*k**2 - 20 + 1/14*k**p + 2/7*k**5 + 4/21*k**6. Find z, given that q(z) = 0.
-1, -1/4, 0
Let 120*u - 132/5 - 27/5*u**2 = 0. What is u?
2/9, 22
Let p(y) = -7*y**2 + 26*y + 4. Suppose -6*w + 9*w + 5*h = 3, -4*w - 5*h = -4. Let d(z) = -z**2 + 2*z + 1. Let l(s) = w*p(s) - 4*d(s). Factor l(g).
-3*g*(g - 6)
Factor 3*x - 128839*x**3 + 