tive of i**6/30 - i**5/5 - i**4/20 + i**3/3 - 175. Factor x(s).
s**2*(s - 5)*(s - 1)*(s + 1)/5
Let z(j) = -j**2 - 86*j + 571. Let t(x) = -286 + 3*x + 52*x - 11*x. Let d(f) = 10*t(f) + 4*z(f). Solve d(o) = 0.
12
Let s = 2 + 25. Solve s*p**3 - 8*p**3 + 20*p + 12*p**2 + 8*p**2 - 14*p**3 = 0.
-2, 0
Let p(f) = -12*f**3 - 48*f**2 + 6*f + 27. Let o be p(-4). Solve -3/2*b + 3/2*b**o + 3/2*b**2 - 3/2 = 0 for b.
-1, 1
Let f(n) be the second derivative of -n**4/30 - 2*n**3/15 - 2*n + 8. Solve f(c) = 0 for c.
-2, 0
What is u in 49/5*u - 1/5*u**2 + 0 = 0?
0, 49
Suppose 15 = y - 5*j, j + 12 = -4*y + 9. Let h(w) be the second derivative of y*w**2 - 1/5*w**4 + 3*w + 3/5*w**3 + 0 + 1/50*w**5. Determine c so that h(c) = 0.
0, 3
Suppose 0 = 7*j + 252. Let w be (-2415)/j + (2/6)/(-1). Solve 15/4*z - 99/4*z**3 + 21*z**5 + w*z**2 - 249/4*z**4 - 9/2 = 0 for z.
-1, -2/7, 1/4, 1, 3
Solve -10*d - 9112 + 32*d + d**2 + 9089 = 0.
-23, 1
Let y = 23162 + -23160. Factor 0 + 3/2*v**4 + 0*v + 0*v**y + 9/2*v**3.
3*v**3*(v + 3)/2
Let h(d) be the third derivative of -5/12*d**4 + 0 + 18*d**2 + 0*d**3 + 1/4*d**5 - 1/24*d**6 + 0*d. Factor h(t).
-5*t*(t - 2)*(t - 1)
Let y(r) be the first derivative of r**5/5 + 2*r**4 + 22*r**3/3 + 12*r**2 - 38*r - 46. Let a(p) be the first derivative of y(p). Factor a(o).
4*(o + 1)*(o + 2)*(o + 3)
Suppose -10*q - 2*q = -48. Let p be (-44)/(-40) + q/10. Determine g, given that 1 - p*g + 1/2*g**2 = 0.
1, 2
Let c(d) = -d**2 + 5*d + 27. Let x be c(8). Suppose 2*y + 2*p = 4 + 10, -x*p + 24 = 4*y. Factor -5*r**5 + 9*r**4 + r**4 - 3*r**3 + y*r**3.
-5*r**4*(r - 2)
Let o(a) = a**2 - 57*a + 113. Let n be o(2). Factor -g + 56/5*g**2 - 49/5*g**n - 2/5.
-(g - 1)*(7*g - 2)*(7*g + 1)/5
Let k(g) = g**5 - 7*g**4 + 3*g**3 + 19*g**2 - 4*g - 10. Let p(z) = 1. Let b(o) = -k(o) + 2*p(o). Solve b(a) = 0.
-1, 1, 2, 6
Let b(c) be the third derivative of c**6/70 + 17*c**5/105 + 2*c**4/3 + 8*c**3/7 + 43*c**2. Find s, given that b(s) = 0.
-3, -2, -2/3
Let c(m) = -m**2 - m - 1. Let j be ((-3)/(-6))/(1/36). Let b(r) = -15*r**2 + 6*r + 30. Let t(f) = j*c(f) - b(f). Factor t(g).
-3*(g + 4)**2
Factor -39 - 15 - 26 + 3 - 4*v**2 + 88*v - 7.
-4*(v - 21)*(v - 1)
Suppose 79 + 105 = 46*t. Factor 5/4*w**5 + 0 - 25/4*w**2 + 55/4*w**3 - 35/4*w**t + 0*w.
5*w**2*(w - 5)*(w - 1)**2/4
Suppose -4*q - 10 = -9*q. Suppose -2 = 4*w - 5*w. Factor w*u + 2*u**3 - 5*u - 6*u - 5*u**3 - 15*u**q + 27.
-3*(u - 1)*(u + 3)**2
Let 2/5*c**4 + 0 + 6/5*c**3 - 16/5*c - 12/5*c**2 = 0. Calculate c.
-4, -1, 0, 2
Let z be (-72)/(-70) - (-1)/(234/(-27) - -7). Factor 3/7*c**2 - z*c**4 + 3/7*c + 0 - 3/7*c**3.
-3*c*(c - 1)*(c + 1)**2/7
Let s(w) be the first derivative of -w**3 - 9/2*w**2 - 38 - 6*w. Find n, given that s(n) = 0.
-2, -1
Let v be (0 - 6 - -6) + 1/2. Let y(o) be the first derivative of 0*o**2 - 1/6*o**3 + v*o - 4. Factor y(i).
-(i - 1)*(i + 1)/2
Suppose -3 = -w + z, 3*z = z + 10. Suppose w*a - 7*a = -9*a. Determine b, given that 2/11*b + a + 2/11*b**2 = 0.
-1, 0
Let b be (4/18)/((-114)/(-1026)). Solve 2/3*s**3 + 0 + 8/3*s**b + 8/3*s = 0 for s.
-2, 0
Let b(m) = -14*m**3 - 83*m - 58*m + 150*m**2 - 6*m**3 - 19*m**3 + 34. Let v(f) = f**3 - f - 1. Let j(y) = b(y) + 4*v(y). Suppose j(l) = 0. What is l?
2/7, 1, 3
Let i(n) be the second derivative of n**5/4 + 5*n**4/3 - 25*n**3/6 + 8*n - 2. Factor i(l).
5*l*(l - 1)*(l + 5)
Let x be 1*(-3 + 2) - -3. Suppose -592 = -26*r + 58. Factor -r + 3*t**x - 16*t + t**2 + 37.
4*(t - 3)*(t - 1)
Suppose 2*f = -2*q + 7 + 7, 2*q = -4*f + 26. What is d in 6*d - 18*d**3 + 0 + f*d + 6*d**2 + 19*d**3 + 8 = 0?
-2
Suppose 9 = h, 5*s - 2*h + 5 = -3. Factor -6/7*g + 2/7*g**s + 0.
2*g*(g - 3)/7
Let c(x) = -x**2 - 9*x + 7. Let w be c(-9). Let h(g) = g**2 - 5*g - 10. Let r be h(w). Determine p so that p**3 - 2*p**r - 62*p + 62*p + p**2 = 0.
-1/2, 0, 1
Let y be 12/16 - 0/(-3). Factor 1/2*d - 1/4*d**2 + y.
-(d - 3)*(d + 1)/4
Let d be (-6)/(-21)*(2 + 5). Determine h so that 72*h**2 + h - 72*h**d + 0*h**3 - h**3 = 0.
-1, 0, 1
Find f such that 1/4*f**3 - 1860867/4 + 45387/4*f - 369/4*f**2 = 0.
123
Let m = -1 - -24. Let g = m - 20. Factor 2*u**2 - 4*u + 4*u**3 - 5*u**3 + 3*u**3 + 0*u**g.
2*u*(u - 1)*(u + 2)
Let a be ((35/(-14))/(-1))/((-2)/(-4)). Let i be (-2)/(-12)*a/(30/8). Factor -i + 2/9*q**2 + 0*q.
2*(q - 1)*(q + 1)/9
Suppose -2251*a + 33 = -2240*a. Suppose -1/3*d - 2/3*d**a - 3/2*d**2 + 0 = 0. Calculate d.
-2, -1/4, 0
Let 160*p + 25*p**4 + 88*p**2 + 142*p**2 - 169*p**3 - 246*p**3 = 0. Calculate p.
-2/5, 0, 1, 16
Let f = 698 + -696. What is a in -1/6*a + 1 - 1/6*a**f = 0?
-3, 2
Let j = 19/9 + -29/18. Let a = -201/2 - -101. Solve -a*b**2 + 0*b + j = 0 for b.
-1, 1
Let a be (((-84)/150)/7)/(6/(-30)). Let n(o) be the first derivative of 1 + 9/10*o**2 - a*o**3 + 9/25*o**5 - 3/10*o**4 - 3/5*o - 1/10*o**6. Factor n(i).
-3*(i - 1)**4*(i + 1)/5
Let c be (-84)/(-22) - (-14)/77. Suppose -c*j + 18 = -h, 18 = 3*j - 0*h - 3*h. Factor 0*r**3 + 1/3*r**2 - 1/3*r**j + 0*r + 0.
-r**2*(r - 1)*(r + 1)/3
Suppose 0 = 158*q - 156*q - 68. Let g be (-44)/140 - (-4 - q/(-10)). Suppose g*x**2 + 2/7 - 4/7*x = 0. What is x?
1
Let c = -351 - -355. Let h(n) be the second derivative of 1/6*n**3 - 1/8*n**c + 1/40*n**5 + 0*n**2 + 5*n + 0. Let h(m) = 0. Calculate m.
0, 1, 2
Let p be (-4)/14 + (-144)/(-63). Let u = -14 + 14. Let 4 - 4*y**3 + 5*y - y + u*y**2 + 0*y - 4*y**p = 0. Calculate y.
-1, 1
Let m be (-137)/(-180) + ((-51)/4)/17. Let c(z) be the second derivative of 1/45*z**6 + 0*z**3 + 0 - 3*z + 0*z**2 - 1/27*z**4 + m*z**5. Factor c(w).
2*w**2*(w + 1)*(3*w - 2)/9
Let k(t) = t**2 - t. Let s be k(2). Let m(g) = -2*g**2 - 25*g + 42. Let n be m(-14). Find v, given that n - 4/5*v**3 + 0*v**4 + 2/5*v**5 + 0*v**s + 2/5*v = 0.
-1, 0, 1
Let a be (24 + -24)*(-4 - -3). Let y(o) be the third derivative of 0 - 9/100*o**5 + a*o + 1/20*o**4 + 4*o**2 + 0*o**3. Suppose y(r) = 0. What is r?
0, 2/9
Let t = -236 + 239. Factor 0 + 16/7*y**2 + 2/7*y**t + 32/7*y.
2*y*(y + 4)**2/7
Let b(l) be the third derivative of -7*l**6/120 + 11*l**5/60 + 9*l**4/8 + 3*l**3/2 - 13*l**2. Find r, given that b(r) = 0.
-1, -3/7, 3
Suppose 0 = 8*i - 9 - 15. Let g(z) be the first derivative of 0*z - 2 + 0*z**i + 0*z**2 + 2/25*z**5 - 1/15*z**4. Factor g(j).
2*j**3*(3*j - 2)/15
Suppose -3*x + 52 + 65 = 0. Let o be ((-2)/12)/((-13)/x). Let -5/2*j**3 + 1/2*j**2 + o*j + 3/2*j**4 + 0 = 0. What is j?
-1/3, 0, 1
Let k(m) = -m**2 - 10*m - 14. Let y be k(-8). Suppose 0 = -l + 1 + y. Factor 0*d + 0 + 3/4*d**2 - 3/4*d**l.
-3*d**2*(d - 1)/4
Let y be 1 - (-3)/(6/82). Suppose x + s + 1 = 0, 3*s + y = 5*x + 15. Factor -4*v**2 + v**4 + 9*v**4 - 6*v**x - 12*v**4.
-2*v**2*(v + 1)*(v + 2)
Let a(x) = 5*x**2 + 28*x - 42. Let m(q) = 35*q**2 + 167*q - 253. Let h(y) = -13*a(y) + 2*m(y). Suppose h(d) = 0. Calculate d.
2, 4
Factor -17/2*y + 1/10*y**2 + 55/2 + 1/10*y**3.
(y - 5)**2*(y + 11)/10
Let z = 14087/5 - 2817. Factor -z*r**3 - 2/5*r + 0 + 4/5*r**2.
-2*r*(r - 1)**2/5
Let l(m) be the second derivative of -m**4/12 + 52*m**3/3 - 1352*m**2 + 2*m + 28. Factor l(d).
-(d - 52)**2
Let m(a) = -a**3 + a + 1. Let j(d) = 4*d**3 - 6*d - 5. Let c = 65 - 68. Let x(r) = c*m(r) - j(r). What is k in x(k) = 0?
-1, 2
Let b be (-7 - -10) + 1495/(-1141). Let u = b + 4/163. Let 8/7 - 4/7*m**3 + u*m + 0*m**2 = 0. Calculate m.
-1, 2
Let c(s) be the first derivative of -s**6/12 + s**4/8 - 10. Factor c(d).
-d**3*(d - 1)*(d + 1)/2
Let t(k) be the first derivative of -25*k**4/2 - 40*k**3/3 - 4*k**2 - 476. Suppose t(f) = 0. What is f?
-2/5, 0
Let m be 3 + (-40)/12 - (-93)/225. Let y = m + 18/25. Factor -6/5*v**4 + 2/5 - 6/5*v + 2/5*v**5 + 4/5*v**2 + y*v**3.
2*(v - 1)**4*(v + 1)/5
Let h be (1308/(-1090))/(1/5 + 0) - -8. Factor 4/5 - 14/5*s + 18/5*s**h + 2/5*s**4 - 2*s**3.
2*(s - 2)*(s - 1)**3/5
Let c(t) = 2*t**2 - 24*t + 44. Let j(v) = 2*v**2 - 24*v + 42. Let a(r) = 6*c(r) - 5*j(r). Let a(g) = 0. Calculate g.
3, 9
Let y(g) = 1. Let h(s) = -s**2 - 6*s - 2. Let z(m) = h(m) + 2*y(m). Factor z(u).
-u*(u + 6)
Let r(v) = -2*v - 11. Let i be r(-10). Factor -12 + 33 - 16 + 8*s - 4*s**2 - i.
-4*(s - 1)**2
Suppose 4*i = -3*m - 5, -11*i + 6*i - 3*m - 4 = 0. Let l = -5 + 9. Determine x so that -4*x - 2*x**2 + i + 3 - l = 0.
-2, 0
Let a = 45 + -43. Let v be (-2 - a) + (-8)/(-2). Determine r so that 3/5*r**4 + 0*r + v*r**2 + 3/5*