z.
-1/12, 0, 1
Let q = -1262 - -2048. Let h = -784 + q. Factor 4/5 - 2/5*v**h - 2/5*v.
-2*(v - 1)*(v + 2)/5
Suppose -9 + 9 = 23*c. Suppose c = -2*o + 24*o - 44. Factor -5/2*b**4 + 0*b**o + 0 + 0*b + 0*b**3.
-5*b**4/2
Let c = -25 + -2. Let b be (c/(-3))/((-1)/(-1)). Determine i, given that 50*i + b*i**2 + 6*i**2 - 65*i - 5*i**3 + 5 = 0.
1
Factor 3/7*g**2 - 708/7 + 348/7*g.
3*(g - 2)*(g + 118)/7
Let p(s) be the first derivative of s**5/150 + 11*s**4/10 + 160*s**3/3 - 500*s**2/3 + 54*s + 23. Let n(r) be the first derivative of p(r). Factor n(o).
2*(o - 1)*(o + 50)**2/15
Let r(y) = -3*y**2 - 31*y + 167. Let s = -7 + 17. Let b(c) = 33520*c**2 + 2 + c - 1 - 33521*c**2. Let u(a) = s*b(a) - 2*r(a). Factor u(v).
-4*(v - 9)**2
Let t(l) = -l**3 + l**2 - 2*l - 12. Let f(w) = 3*w**3 + 1722*w**2 + 21*w - 1634. Let q(o) = -f(o) - 8*t(o). Factor q(g).
5*(g - 346)*(g - 1)*(g + 1)
Let u(w) = -2*w**3 - 10*w**2 - 67*w + 63*w - 2 + 0*w**3. Let j(m) = m**3 - m**2 - 1. Let y(q) = -2*j(q) + u(q). Let y(s) = 0. What is s?
-1, 0
Let k(y) = -y**3 + 25*y**2 - 86*y + 44. Let m be k(21). Solve 17 + 26*q - 34*q**2 - 40 + 36*q**m - 23 - 14 = 0.
-15, 2
What is m in -47104 + 100304*m**3 + 18*m**5 + 80*m**5 - 633016*m**2 + 22790*m - 51108*m + 47247*m - 5446*m**4 + 318735*m = 0?
2/7, 16, 23
Let r(n) be the third derivative of n**9/15120 + 13*n**8/5040 + n**7/105 - n**5/5 - n**3/3 + 14*n**2 - 2. Let v(l) be the third derivative of r(l). Factor v(u).
4*u*(u + 1)*(u + 12)
Let h(i) be the first derivative of 1/3*i**3 + 0*i + 0*i**2 + 63. Factor h(j).
j**2
Suppose 0 = 6*q + 5*q - 286. Suppose -2*l - 12 + q = 0. Factor -18 - 55*i - 20 - 13*i**2 + 8 + 5*i**3 - l*i**2.
5*(i - 6)*(i + 1)**2
Let w = 297527/15 - 19835. Factor w*i - 2/15*i**2 - 2/15*i**3 + 2/15.
-2*(i - 1)*(i + 1)**2/15
Factor 1/7*z**2 + 0 + 1/7*z**3 - 90/7*z.
z*(z - 9)*(z + 10)/7
Let x(i) = -8*i - 78. Let p be x(-10). Factor -9*m + 29*m**2 + 41*m**p - 73*m**2 + 12.
-3*(m - 1)*(m + 4)
What is f in 2/5*f**5 + 24/5*f**3 + 0 - 34/5*f**4 + 136/5*f**2 - 128/5*f = 0?
-2, 0, 1, 2, 16
Let u(a) be the third derivative of a**6/40 - a**5/2 - 157*a**4/8 - 133*a**3 - 1669*a**2 - a. What is v in u(v) = 0?
-7, -2, 19
Find n, given that -24/5*n - 1/5*n**4 - 7*n**2 - 12/5*n**3 + 0 = 0.
-8, -3, -1, 0
Let p(h) = 102*h**2 + 2919*h. Let m(c) = 271*c**2 + 8757*c. Let q(v) = -3*m(v) + 8*p(v). Let q(d) = 0. What is d?
0, 973
Let x = 14870 - 14870. Let k = 142/7 - 682/35. Suppose x - k*n - 2/15*n**2 + 2/15*n**3 = 0. Calculate n.
-2, 0, 3
Let w(j) be the third derivative of -j**7/42 - 55*j**6/24 + 74*j**5/3 - 50*j**4 - 4*j**2 - 81*j - 3. What is a in w(a) = 0?
-60, 0, 1, 4
Suppose -k - 3*m + 5*m = 6, 0 = -k + 7*m - 36. Factor 9/4*r + k*r**2 + 3*r**3 + 0.
3*r*(2*r + 1)*(2*r + 3)/4
Let m(f) = f**2 - 27*f + 1064. Let t(j) = 2*j**2 - 74*j + 3188. Let y(w) = 17*m(w) - 6*t(w). Factor y(z).
5*(z - 16)*(z + 13)
Let c = 8724166/91 + -95868. Let x = c - 18/13. Factor x - 6/7*b**2 - 2/7*b + 2/7*b**3 + 2/7*b**4.
2*(b - 1)**2*(b + 1)*(b + 2)/7
Factor -166/3*v + 169 - 1/3*v**2.
-(v - 3)*(v + 169)/3
Find o, given that 2/11*o**4 - 42/11*o**2 - 12/11*o**3 - 240/11 + 292/11*o = 0.
-5, 1, 4, 6
Let r(d) be the first derivative of -d**6/3 + 24*d**5/5 - 12*d**4 - 68*d**3/3 + 57*d**2 + 108*d + 823. Let r(c) = 0. What is c?
-1, 2, 3, 9
Let d(g) be the first derivative of g**3/7 + 165*g**2/7 - 1368*g/7 + 4612. Solve d(w) = 0.
-114, 4
Let y(a) be the first derivative of -a**4/10 + 52*a**3/5 + 159*a**2/5 + 32*a - 675. Find g such that y(g) = 0.
-1, 80
Let n = -33426/5 - -6687. Let s(x) be the first derivative of -33/10*x**2 - n*x - 4/25*x**5 - 23/20*x**4 - 43/15*x**3 - 2. Determine l, given that s(l) = 0.
-3, -1, -3/4
Let s(i) be the second derivative of 0*i**2 + 0*i**3 - 7 - 1/6*i**6 + 2*i - 5/4*i**5 + 5/2*i**4. Suppose s(n) = 0. What is n?
-6, 0, 1
Let n be -5 - (8/68 - 276/34). Let u(z) be the second derivative of 0*z**2 + 3*z + 125/4*z**4 + 1/6*z**6 + 0 - 625/6*z**n - 15/4*z**5. Factor u(w).
5*w*(w - 5)**3
Let w be (-3)/2*(-8)/6. Suppose 0 = -3*v - b + 26, -2*v - 2*b = 12 - 28. Factor -w*s - v*s**3 - 9*s**3 - s**4 + 1 + 20*s**3.
-(s - 1)**3*(s + 1)
Let u = 756336/85 - 8898. Let v(y) be the first derivative of -u*y**5 - 1/51*y**6 + 0*y**2 + 0*y**3 + 0*y - 1/17*y**4 - 12. Solve v(j) = 0.
-2, -1, 0
Let n be (-34)/187 - 48/(-44)*2. Let s(k) be the first derivative of 0*k + 3/16*k**4 + 0*k**n - 3/20*k**5 - 1/12*k**3 + 1/24*k**6 + 15. Solve s(z) = 0 for z.
0, 1
Factor -11*x**2 + 629 - 324 + 8*x**2 - 306*x + 4*x**2.
(x - 305)*(x - 1)
Let i(n) be the second derivative of -50*n**7/21 + 546*n**6 - 3164*n**5/5 - 15728*n**4/3 + 8704*n**3 - 5216*n**2 - 5833*n. Find y, given that i(y) = 0.
-2, 2/5, 2, 163
Let r be ((-6)/3)/(2/(6/(-15))). What is m in -8/5*m + 4/5 - 1/5*m**4 + 3/5*m**2 + r*m**3 = 0?
-2, 1, 2
Let l(h) be the third derivative of 0*h**3 - 8*h**2 + 0*h**6 - 1/1050*h**7 + 0*h**4 + 0*h + 0*h**5 + 1. What is y in l(y) = 0?
0
Let k(g) = 3*g**2 - 24*g + 5. Let l be k(8). Let 8*b**3 + 2*b**5 - 6632*b**2 + 6648*b**2 - 3*b**5 - 4*b**4 - b**l = 0. What is b?
-2, 0, 2
Let a(d) = 26*d**2 + 194*d + 1724. Let y(m) = -8*m**2 - 65*m - 575. Let r(w) = 6*a(w) + 20*y(w). Factor r(j).
-4*(j + 17)**2
Let n(c) be the second derivative of 0 - 7/4*c**4 - 89*c - 92*c**3 - 78*c**2. Find v such that n(v) = 0.
-26, -2/7
Suppose -6*w + 3*w = 42. Let q be (-3)/21 - 44/w. Factor 104*f + 5*f**3 - 88*f + 16*f**2 + f**3 - 2*f**q.
4*f*(f + 2)**2
Let x(y) = 4*y**5 + y**4 + y**3 + y**2. Let v(r) = -25*r**5 - 25*r**4 + 100*r**3 - 25*r**2 - 140*r. Let n(f) = -v(f) - 5*x(f). Determine h, given that n(h) = 0.
-7, -1, 0, 2
Let k(x) be the second derivative of 0 + 28*x - 1/54*x**4 - 5/27*x**3 + 0*x**2. Factor k(r).
-2*r*(r + 5)/9
Let -2/13*i**2 - 60/13 + 2*i = 0. What is i?
3, 10
Let v(n) be the first derivative of n**5/5 + 3*n**4/2 - n**3 - 26*n**2 - 60*n + 375. Factor v(h).
(h - 3)*(h + 2)**2*(h + 5)
Let f(p) = p**2 - 193 + 28 + 285*p - 321*p. Let j(l) = -l**2 + 1. Let a be j(2). Let o(w) = -w**2 + 1. Let v(i) = a*o(i) - f(i). Factor v(q).
2*(q + 9)**2
Suppose -9/5*a**3 + 0 + 21/5*a - 12*a**2 = 0. What is a?
-7, 0, 1/3
Let j = 32561/14 + -16263/7. Let i(l) be the first derivative of j*l**2 - 37 + 1/6*l**3 - 11/2*l. Factor i(u).
(u - 1)*(u + 11)/2
What is s in 837*s**2 - 1680*s**2 + 12*s + 839*s**2 + 24*s = 0?
0, 9
Let c = -54 + 64. Suppose 0 = -n - 2*n + 12. Solve -c*s + 3 + 5*s**3 - 25*s**3 + 20*s**2 + 3 - 2*s**5 + 10*s**n - 4 = 0.
1
Let l(c) be the third derivative of 10*c**3 + 7/3*c**4 + 0*c + 133*c**2 + 0 - 1/15*c**5. Find v, given that l(v) = 0.
-1, 15
Suppose -4*z - 4 = -16. Let l = -7257 + 7260. What is b in -70*b**z - 73*b**3 - 5*b**2 + 138*b**l = 0?
-1, 0
Let z(v) be the second derivative of v**5/5 - 10*v**4 + 58*v**3/3 - 120*v. Find h, given that z(h) = 0.
0, 1, 29
Let u = 209 - 197. Let g be (12/8 + -2)/((-7)/u). Find w, given that -g*w**3 + 2/7*w**2 + 0 + 4/7*w = 0.
-2/3, 0, 1
Let w = -9 - -14. Suppose -2 - 18 = -w*d. Suppose -d*i**3 + 9*i**2 - 5 - 1 - 3*i**4 + 6*i**3 + 3*i - 5*i**3 = 0. Calculate i.
-2, -1, 1
Let g(a) be the second derivative of a**8/5376 - a**6/576 - 5*a**4/6 + 30*a - 1. Let w(n) be the third derivative of g(n). Suppose w(i) = 0. Calculate i.
-1, 0, 1
Let o(h) be the first derivative of 16/27*h**3 + 1/3*h**2 + 0*h - 96 - 1/6*h**4. Factor o(u).
-2*u*(u - 3)*(3*u + 1)/9
Let q be ((-455)/1)/5 - (-4 - -1). Let k = q + 91. Factor 0*g**k - 28*g**2 + 56*g + 10*g**3 - 32 - 4*g**3 - 2*g**3.
4*(g - 4)*(g - 2)*(g - 1)
Let y = -11 + 11. Suppose o + 4*w - 13 = 0, o + 2*w = -y*w + 9. Determine c so that -3*c**2 + 6*c**2 + 67*c**4 - 70*c**4 - 3*c**3 + 3*c**o = 0.
-1, 0, 1
Let v(s) be the first derivative of -25*s**4 + 978 - 3*s**3 - 1065 - 32*s**3 + s**5. Factor v(n).
5*n**2*(n - 21)*(n + 1)
Let h = -77 - -259. Suppose h + 124 = 3*j. Determine u, given that 0*u**4 - 8*u - j*u**2 + 90*u**2 + 4*u**4 = 0.
-1, 0, 2
Find t, given that -8/7*t**4 - 2/7*t**3 + 0*t + 0*t**2 + 0 = 0.
-1/4, 0
Let t = -13401343/15 + 893759. Let i = t - 336. Factor 4/15*s - 2/15*s**2 + 0 + i*s**4 - 4/15*s**3.
2*s*(s - 2)*(s - 1)*(s + 1)/15
Let k = -4078938/7 + 582710. Factor 20/7*q**2 + 0 - k*q**3 + 4/7*q**4 + 8*q.
4*q*(q - 7)*(q - 2)*(q + 1)/7
Let b be ((-24)/16)/(-6 + (-390)/(-80)). Let w(o) be the first derivative of 0