ind i such that k(i) = 0.
-1, 0
Suppose 0 = 4*c - 3*a + 140, -7*a - 202 = 5*c - 4*a. Let s = c - -41. Factor -1/2 - 1/4*y**5 + 1/2*y**4 + 1/2*y**s + 7/4*y - 2*y**2.
-(y - 1)**4*(y + 2)/4
Let m be 24/(-96) + 69/20. Solve -m*n**3 - 6/5*n**4 - 6/5*n**2 + 0 + 4/5*n = 0.
-2, -1, 0, 1/3
Let b(d) = d**3 + 9*d**2 - 9*d + 2. Let n be b(-10). Let u be (-7)/(-3) + n/(-12). What is h in -h**5 + 4*h**2 - h**5 + 3*h**u - 2*h**3 + 5*h**3 = 0?
-1, 0, 2
Let l be (6/(-15))/(-6 + 162/30). Let -l - 2*i**2 + 2/3*i**3 + 2*i = 0. Calculate i.
1
Let 848/9*c - 2/9*c**2 - 89888/9 = 0. What is c?
212
Let k = -5/952 - -1929/4760. Let -k*i**3 - 6/5 - 14/5*i - 2*i**2 = 0. What is i?
-3, -1
Suppose 2*f - 7*f + 5 = 0. Factor -8*u**3 + f + 4*u**4 - 8*u**4 - 4*u**2 - 1.
-4*u**2*(u + 1)**2
Let h(z) = z**4 + 11*z**3 - 5*z**2 + 7*z - 7. Let c(l) = -l**4 - 5*l**3 + 2*l**2 - 4*l + 4. Let m = -23 + 27. Let x(o) = m*h(o) + 7*c(o). Factor x(f).
-3*f**2*(f - 2)*(f - 1)
Suppose 12*p - 462 = 6*p. Let y be 110/p + (-1 - -1). Solve 0 - 2/7*o**4 + 6/7*o**5 - y*o**3 + 4/7*o + 2/7*o**2 = 0.
-1, -2/3, 0, 1
Let z(x) be the first derivative of -x**6/14 + 3*x**5/7 + 9*x**4/14 + 208. What is u in z(u) = 0?
-1, 0, 6
Let h(s) be the first derivative of -s**3/7 - 3*s**2/14 + 36*s/7 - 34. Factor h(a).
-3*(a - 3)*(a + 4)/7
Let r(w) be the first derivative of -w**5/20 + w**4/4 - 11*w**2/2 + 5. Let u(d) be the second derivative of r(d). Suppose u(j) = 0. What is j?
0, 2
Let m(h) be the third derivative of -h**6/300 - h**5/30 + h**4/10 - 52*h**2. Suppose m(s) = 0. Calculate s.
-6, 0, 1
Let v(t) be the second derivative of t**5/10 + 7*t**4 + 27*t**3 + 40*t**2 + 307*t. Factor v(q).
2*(q + 1)**2*(q + 40)
Let x = 28985/2 + -14491. Factor 0*l**2 + 2*l + 0 - 1/2*l**4 - x*l**3.
-l*(l - 1)*(l + 2)**2/2
Let x(s) be the third derivative of -30*s**2 - 1/5*s**5 - 2/3*s**4 + 0*s + 0*s**3 + 1/30*s**6 + 0. Factor x(a).
4*a*(a - 4)*(a + 1)
Let r(t) be the second derivative of 0*t**2 + 17*t - 1/16*t**4 - 1/8*t**3 + 1/40*t**6 + 3/80*t**5 + 0. Factor r(x).
3*x*(x - 1)*(x + 1)**2/4
Let t(m) = -12*m**3 - 32*m**2 + 44*m - 21. Let y(c) = 5*c**3 + 15*c**2 - 21*c + 10. Let k(r) = 3*t(r) + 7*y(r). Find d such that k(d) = 0.
1, 7
Let g(d) be the third derivative of d**7/1260 + d**6/48 - 2*d**5/45 + 220*d**2. Factor g(j).
j**2*(j - 1)*(j + 16)/6
Let w be 232/406*21/72. Let 0 + 1/3*v**3 + 0*v + 0*v**2 + w*v**4 = 0. Calculate v.
-2, 0
Let n(o) be the second derivative of -o**4/84 - o**3/42 + o**2/7 - 278*o. Factor n(l).
-(l - 1)*(l + 2)/7
Find s such that -13 + 5 + s**2 - 1230*s + 1239*s - 2*s**2 = 0.
1, 8
Let m(p) = -p**3 + 15*p**2 - 13*p - 10. Let r be m(14). Determine j so that -3*j + 12*j**4 + r*j - 19*j**4 - 2*j**3 + j**5 - 1 + 2*j**2 + 6*j**4 = 0.
-1, 1
Suppose o + 2*u - 6 = 6*o, -u = -3. Let w(c) be the first derivative of 2 - 3/2*c**4 + o*c + 3*c**2 + 3*c**5 - 5*c**3. Determine i so that w(i) = 0.
-1, 0, 2/5, 1
Let x(w) be the third derivative of -w**10/30240 + w**8/3360 - w**6/720 + w**4/24 - 10*w**2. Let n(y) be the second derivative of x(y). Solve n(g) = 0 for g.
-1, 0, 1
What is r in 8/3*r**2 - 10/3*r**3 - 2/3*r**5 + 0*r - 11/3*r**4 + 0 = 0?
-4, -2, 0, 1/2
Let c = -14654 + 14659. Factor 2/13*n**3 - 2/13*n**2 + 2/13*n**4 + 0*n + 0 - 2/13*n**c.
-2*n**2*(n - 1)**2*(n + 1)/13
Let n be (-81)/(-15) + 2/(-5). Let s be (21/n)/3 + -1. Factor 0 - s*y**3 + 2/5*y + 0*y**2.
-2*y*(y - 1)*(y + 1)/5
Let u be ((-3)/(-7))/(9/35). Factor u*h**3 + 0*h + 0 + 0*h**2 - 5/3*h**4.
-5*h**3*(h - 1)/3
Let p(k) = 1. Let w be (1 - 9)/4 - -3. Let d(h) = 4*h**2 - 16*h + 18. Let y(a) = w*d(a) - 2*p(a). Factor y(q).
4*(q - 2)**2
Let -24/7 - 2*j - 2/7*j**2 = 0. What is j?
-4, -3
Factor -8/3 + 344/3*r - 3698/3*r**2.
-2*(43*r - 2)**2/3
Determine f so that -5*f - 21*f**2 + 178*f**3 - 18*f + f**4 - 183*f**3 - 8 = 0.
-1, 8
Let a = -10432 + 10432. Let 0*b + a*b**2 + 2/9*b**4 + 0 + 2/3*b**3 = 0. Calculate b.
-3, 0
Let a = 213939493/51536590 + 1/251398. Let x = 2/41 + a. Factor 6/5*l - x*l**3 + 3*l**2 + 0.
-3*l*(l - 1)*(7*l + 2)/5
Let m(l) be the second derivative of -2/9*l**2 - 1/36*l**4 - 10*l + 0 + 1/270*l**6 + 1/90*l**5 - 4/27*l**3. Suppose m(u) = 0. Calculate u.
-2, -1, 2
Suppose 38 = -4*z + 2*g, -z = -4*g + 6*g + 12. Let f be (-17)/((-340)/(-16))*z/4. Factor -15/4*k**f - 5/4*k**3 + 0*k + 0.
-5*k**2*(k + 3)/4
Let d(t) = -4*t**2 + 6*t - 2. Let l(c) = 5*c**2 - 7*c + 2. Let v = -13 - -5. Let r = v - -12. Let w(p) = r*d(p) + 3*l(p). Factor w(h).
-(h - 2)*(h - 1)
Let n(c) = 4*c - 20. Let f be n(-5). Let l be 4 - -2*f/25. Solve 2/5*o**3 + 4/5*o**2 - l - 2/5*o = 0 for o.
-2, -1, 1
Determine g, given that 6*g - 3/2*g**3 - 5 + 1/4*g**4 + 1/4*g**2 = 0.
-2, 1, 2, 5
Suppose 0 = -7*m - 0*m + 14. Determine y, given that y**2 - 2*y**2 - 8*y**2 - 7*y**m - 16*y - 4*y**3 = 0.
-2, 0
Let c(t) = -2*t**2 + 18*t - 16. Let b be c(1). Factor b*o - 8/5*o**3 - 4/5*o**2 + 0 - 4/5*o**4.
-4*o**2*(o + 1)**2/5
Let j = 20 + -41. Let t = 24 + j. Find b, given that -2/3*b**2 - 8/3*b**t + 0 + 0*b = 0.
-1/4, 0
Let g = -11501 - -92011/8. Factor -3/8*x - g*x**2 + 0.
-3*x*(x + 1)/8
Let d be ((-2)/5)/(4/(-120)). Suppose w - 10 = 2*s, 5*s = 2*w + 3*s - d. Let -2/3 + p - p**3 + 1/3*p**w + 1/3*p**4 = 0. What is p?
-1, 1, 2
Let i(f) = -23*f**2 + 23*f - 64. Let l(g) = -28*g**2 + 22*g - 65. Let z(n) = -5*i(n) + 4*l(n). Factor z(k).
3*(k - 5)*(k - 4)
Factor -2/3*g**3 + 4/3 + 4/3*g - g**2 + 1/3*g**4.
(g - 2)**2*(g + 1)**2/3
Factor 4 - 23/3*p + 1/3*p**3 + 10/3*p**2.
(p - 1)**2*(p + 12)/3
Solve -21 - 3*u**3 - 203 + 39*u**2 + 99*u + 89 = 0 for u.
-3, 1, 15
Let t(j) = -2*j**2 + 12*j - 25. Let f(k) = 2*k + 1. Let y(o) = 2*f(o) + 2*t(o). What is p in y(p) = 0?
3, 4
Factor 10 + 111*k - 59*k - 67*k + 5*k**2.
5*(k - 2)*(k - 1)
Let u(x) be the first derivative of 4*x**5/5 - 25*x**4/4 + 18*x**3 - 22*x**2 + 8*x + 74. Factor u(v).
(v - 2)**3*(4*v - 1)
Factor 31/5*i - 1/5*i**3 + 28/5 + 2/5*i**2.
-(i - 7)*(i + 1)*(i + 4)/5
Factor -5*i**4 + 2 - 3*i**4 + 2*i**3 + 322*i**2 - 2 - 316*i**2.
-2*i**2*(i - 1)*(4*i + 3)
Suppose 9 = -31*m + 40*m. Let o(i) be the first derivative of -34/15*i**3 - 8/5*i - 16/5*i**2 - 1/2*i**4 - m. Factor o(d).
-2*(d + 1)*(d + 2)*(5*d + 2)/5
Suppose 0 = -2*s + a + 10, -4*a - 15 = -531*s + 528*s. Let m(l) be the first derivative of 5/3*l**3 - 4 - s*l**2 + 5*l. Factor m(b).
5*(b - 1)**2
Let c = 304 + -302. Let p(l) be the third derivative of 0*l**4 + 0*l**3 - 1/60*l**6 + 0*l + 0 + 0*l**5 + 1/105*l**7 + 2*l**c. Factor p(v).
2*v**3*(v - 1)
Let h(n) be the second derivative of -1/144*n**4 - 1/72*n**3 - 18*n + 0*n**2 + 0. Factor h(k).
-k*(k + 1)/12
Let c(v) be the first derivative of 2*v**3/3 - 3*v**2 + 4*v - 116. Find h such that c(h) = 0.
1, 2
Solve 15/4*m + 21*m**2 - 9/4 = 0.
-3/7, 1/4
Let l(f) = -7*f**3 - 16*f**2 - 42*f - 41. Let r(v) = 10*v**3 + 24*v**2 + 63*v + 61. Let a(i) = 7*l(i) + 5*r(i). Factor a(k).
(k + 2)*(k + 3)**2
Let t(f) = -f**3 - 9*f**2 + 18*f - 33. Let i be t(-11). Let g be i/77 - (-109)/119. Suppose -6/17*v**2 - 16/17*v + 8/17 + g*v**3 = 0. Calculate v.
-1, 2/3
Let a(q) = q**2 + 6*q + 1. Let o(g) = 3*g**2 + 178*g - 141. Let c(s) = 5*a(s) - o(s). Factor c(w).
2*(w - 73)*(w - 1)
Let r = -71239/30 + 2375. Let v(p) be the third derivative of 0 + 6*p**2 - r*p**5 + 0*p + 1/3*p**3 + 1/24*p**4 - 7/40*p**6. Factor v(l).
-(l + 1)*(3*l + 1)*(7*l - 2)
Let p(k) = -6*k**4 - 34*k**3 - 74*k**2 + 34*k + 56. Let w(t) = -2*t**4 - 11*t**3 - 25*t**2 + 11*t + 18. Let h(v) = 3*p(v) - 8*w(v). Suppose h(b) = 0. What is b?
-4, -3, -1, 1
Let k(w) be the third derivative of -w**6/540 - 7*w**5/270 - 5*w**4/36 - w**3/3 - 8*w**2. Factor k(c).
-2*(c + 1)*(c + 3)**2/9
Let d(j) = -65*j**3 + 441*j**2 + 70*j + 4. Let o(a) = -715*a**3 + 4850*a**2 + 770*a + 45. Let z(q) = -45*d(q) + 4*o(q). Factor z(r).
5*r*(r - 7)*(13*r + 2)
Let 6/5*l**4 - 176/5*l**3 - 872/15*l + 1166/15*l**2 + 72/5 = 0. What is l?
2/3, 1, 27
Find r, given that 54/11 - 36/11*r**2 - 54/11*r + 14/11*r**4 + 20/11*r**3 + 2/11*r**5 = 0.
-3, 1
Let d(o) be the first derivative of 2*o**5/55 - 3*o**4/11 - 6*o**3/11 + 14*o**2/11 - 327. Factor d(b).
2*b*(b - 7)*(b - 1)*(b + 2)/11
Let b(j) be the third derivative of 3*j**7/14 - 15*j**6/8 + 5*j**5/3 + 25*j**4/2 + 40*j**3/3 + 69*j**2. Find n, given that b(n) = 0.
-2/3, -1/3, 2, 4
Let r be ((-10)/12)/(-8 - 884/(-153)