ative of n**5/5 + n**4/9 - 10*n**3/27 + 2*n**2/9 + 93*n. Find r such that x(r) = 0.
-1, 1/3
Let b be (-1496)/(-7392) - (-2)/24. What is v in -b*v**2 + 6/7*v + 8/7 = 0?
-1, 4
Let l(c) = c**3 - 21*c**2 + 115*c - 105. Let m(z) = -z - 1. Let x(b) = l(b) - 5*m(b). Factor x(g).
(g - 10)**2*(g - 1)
Let r = 91 - 179. Let b be 55/72 - 11/r. Factor -16/9*z + b + 10/9*z**2 - 2/9*z**3.
-2*(z - 2)**2*(z - 1)/9
Let a(h) be the first derivative of 4*h - 2*h**4 + 4*h**2 - 11 - 4/3*h**3. Factor a(d).
-4*(d - 1)*(d + 1)*(2*d + 1)
Factor 0*m**2 + 14/3*m**3 + 2/3*m**4 + 0 + 0*m.
2*m**3*(m + 7)/3
Let l(x) = -27 + x**3 - 121*x**2 - 12*x + 126*x**2 + 2*x - x. Let w be l(-6). Factor -2/3 + 0*s**2 - 1/3*s**w + s.
-(s - 1)**2*(s + 2)/3
Let d = -1447 + 1449. Factor -2/3*m + 2/15*m**d + 2/15*m**3 + 2/5.
2*(m - 1)**2*(m + 3)/15
Suppose 0 = 10*s - 7*s - 12. Let 7*q**4 - 2*q**4 - 9*q**3 + s*q**3 = 0. What is q?
0, 1
Let j be (64/(-8))/(2/(-11)). Suppose 2*w - 4*w - 4*t + 12 = 0, 4*w = -3*t + j. Factor 2*x**3 - w*x**4 + 2*x**5 + 0*x**5 + 18*x**4.
2*x**3*(x + 1)**2
Suppose 0 = -3*q + 7*q - 36. Let i be 5/110*q*4. Factor i*f**2 + 2*f**3 - 4/11*f + 0.
2*f*(f + 1)*(11*f - 2)/11
Suppose r + 2*m - 8 + 2 = 0, -3*r = -5*m + 15. Let y be ((-1)/(-3) + r)/(35/14). Factor y*z**4 - 2/15*z**2 + 0*z - 2/15*z**3 + 0 + 2/15*z**5.
2*z**2*(z - 1)*(z + 1)**2/15
Let i(s) be the second derivative of -1/84*s**4 - 5*s + 0*s**2 + 0 - 1/21*s**3. Factor i(p).
-p*(p + 2)/7
Let b(s) = 3*s**2 - 41*s + 142. Let d be b(7). Factor 3/10*i - 1/5 - 1/10*i**d.
-(i - 2)*(i - 1)/10
Let y be (-1)/(6 + 38/(-6)). Let j(m) be the second derivative of 0 - 1/30*m**y - 1/60*m**4 - 2*m + 0*m**2. Factor j(r).
-r*(r + 1)/5
Factor 0*p + 2/7*p**4 + 0 - 6/7*p**3 + 4/7*p**2.
2*p**2*(p - 2)*(p - 1)/7
Suppose 178 = 12*i + 682. Let t be ((-36)/i)/(-1) + 1. Find d, given that 0*d**3 + 1/7*d**4 + t - 2/7*d**2 + 0*d = 0.
-1, 1
Determine k so that -5*k**3 - 30*k + 4*k**3 - 4*k**3 + 5*k**2 + 10*k**3 = 0.
-3, 0, 2
Suppose -2*i - 4 = r - 17, -r - 7 = -2*i. Suppose -j + 75*g + 19 = 74*g, 2*g = -4*j + 94. Let j*x**r + 64/3*x - 8/3 - 122/3*x**2 = 0. What is x?
2/11, 2/3, 1
Let z(q) = -114*q**5 + 654*q**4 - 1014*q**3 + 616*q**2 - 152*q + 16. Let g(y) = -y**5 + y**4 - y**3 + 2*y. Let u(s) = -6*g(s) + z(s). Let u(p) = 0. Calculate p.
1/3, 1, 4
Let n be (-3)/15 - 362/(-10). Let k = n + -106/3. Factor 1/3*p**2 + 0 - k*p.
p*(p - 2)/3
Let s = -287 - -449. Let z = -160 + s. Factor 1/9*b + 1/9*b**3 + 0 - 2/9*b**z.
b*(b - 1)**2/9
Suppose -18 = -182*i + 176*i. Let u(b) be the third derivative of -1/120*b**5 + 0*b + 0 + 1/6*b**i - 1/48*b**4 + 4*b**2. Factor u(j).
-(j - 1)*(j + 2)/2
Let i(o) = o**3 - 20*o**2 - 22*o + 23. Let a be i(21). Let g be 0/a - ((-54)/(-24))/(-9). Factor 1/8*m**4 + g*m**3 - 1/8*m**2 - 1/4*m + 0.
m*(m - 1)*(m + 1)*(m + 2)/8
Factor -10/3*x**2 + 2/3*x**3 - 2 + 14/3*x.
2*(x - 3)*(x - 1)**2/3
Factor -1 - 33/2*k**2 + 26/3*k**3 + 53/6*k.
(k - 1)*(4*k - 3)*(13*k - 2)/6
Let r(s) be the first derivative of 0*s - 21 + 5/3*s**3 + 0*s**2. Factor r(w).
5*w**2
Suppose -2*n = -5 - 3. Solve -o**3 - 4*o**2 - 2*o**3 + 4*o**n + o**3 + 2*o = 0 for o.
-1, 0, 1/2, 1
Let s(y) be the third derivative of 0*y - 1/120*y**5 - 1/24*y**4 + 0 - 1/12*y**3 + 8*y**2. Find r such that s(r) = 0.
-1
Let o(t) be the second derivative of -t**6/70 + 27*t**5/35 - 195*t**4/14 + 338*t**3/7 + 19773*t**2/14 + t - 175. Find d such that o(d) = 0.
-3, 13
Suppose 1/4*a**2 + 7/4*a + 3 = 0. What is a?
-4, -3
Let a(h) be the first derivative of -h**4/26 - 8*h**3/13 - 11*h**2/13 - 353. Factor a(y).
-2*y*(y + 1)*(y + 11)/13
Factor 7873*p**3 - 21*p + 14*p**2 + 6 + 2*p**2 - 7888*p**3 + 11*p**2 + 3*p**4.
3*(p - 2)*(p - 1)**3
Let n(r) = r**3 - 26*r**2 + r - 22. Let z be n(26). Determine t so that -4/13*t**3 + 0*t - 2/13*t**z + 0*t**2 + 2/13*t**5 + 0 = 0.
-1, 0, 2
Let r(q) be the first derivative of -25*q**4/6 + 10*q**3/3 - q**2 - 2*q - 2. Let i(o) be the first derivative of r(o). Factor i(y).
-2*(5*y - 1)**2
Let t(p) be the first derivative of 2*p**3/63 - p**2/7 - 8*p/3 - 390. Factor t(s).
2*(s - 7)*(s + 4)/21
Let v(x) be the first derivative of x**2 - 1/3*x**5 - 1/2*x**4 + 1/3*x + 4/9*x**3 + 49. Find i such that v(i) = 0.
-1, -1/5, 1
Let w(r) = 7*r**3 + 16*r**2 - 5*r + 6. Let h(o) = 65*o**3 + 145*o**2 - 45*o + 55. Let n(c) = -6*h(c) + 55*w(c). Solve n(y) = 0 for y.
0, 1
Suppose 0 = 5*s + 10 - 25. Solve 11*g + 2*g**s + 5 - g - 4 - 8*g**2 - 5 = 0 for g.
1, 2
Let a(q) be the third derivative of 5*q**2 + 1/588*q**8 + 0*q + 0*q**4 + 0 + 0*q**3 - 8/735*q**7 + 1/42*q**6 - 2/105*q**5. Factor a(j).
4*j**2*(j - 2)*(j - 1)**2/7
Factor -10/3 + 16/3*d**2 - d**3 - d.
-(d - 5)*(d - 1)*(3*d + 2)/3
Factor 17/2 - 1/4*b**2 - 33/4*b.
-(b - 1)*(b + 34)/4
Let n(q) = -q**3 - q**2 + 5. Let a(l) = l**3 + 6*l**2 + 5*l - 10. Let m(p) = -a(p) - 2*n(p). Solve m(c) = 0 for c.
-1, 0, 5
Let r = -8 + 7. Let y(n) = -4*n**5 + 5*n**4 - n**3 + n. Let a(z) = -z**5 + z**2 + z. Let q(h) = r*y(h) + a(h). Factor q(v).
v**2*(v - 1)**2*(3*v + 1)
Let w = 334 - 286. Let i be (-5 - -6 - w/10) + 4. Factor 3/5*y - 3/5*y**3 - 2/5 + i*y**4 + 1/5*y**2.
(y - 2)*(y - 1)**2*(y + 1)/5
Let c(d) = d**3 + 3*d**2 - 5*d - 2. Let w be 4/(1*(-1 - 0)). Let l be c(w). Suppose 2 - 2 + l*f**3 = 0. What is f?
0
Let d = 42358/13 - 3258. Solve -2/13*b**3 + 0 + 0*b - 4/13*b**4 + d*b**2 + 2/13*b**5 = 0.
-1, 0, 1, 2
Solve -41*z**2 + 2*z**3 + 41 - 48*z + 49*z - 6*z**3 + 3*z**3 = 0.
-41, -1, 1
Suppose 0 = -v + 2*v - 2. Factor -6*y**2 + 5*y**2 - y**v + 3*y - 5*y.
-2*y*(y + 1)
Factor 36/5*a**2 + 3*a**4 + 47/5*a**3 + 4/5*a + 0.
a*(a + 1)*(a + 2)*(15*a + 2)/5
Let l(a) be the second derivative of -4*a**6/45 - 19*a**5/30 - 14*a**4/9 - 4*a**3/3 + 133*a. Factor l(x).
-2*x*(x + 2)**2*(4*x + 3)/3
Let x be 7*-5*(-2)/7. Let a(z) = -z**2 + 10*z + 2. Let l be a(x). Solve f - 3*f + f - f - f**l - 1 = 0 for f.
-1
Factor -1352*b**2 + 1248*b - 384 + 4394/9*b**3.
2*(13*b - 12)**3/9
Let k(w) = w**4 - w**2 + w. Let z(o) = -10*o**5 + 65*o**4 - 55*o**3 - 20*o**2 + 40*o. Let s(b) = -20*k(b) + z(b). Determine l so that s(l) = 0.
-1/2, 0, 1, 2
Let q(l) be the first derivative of 4*l**5/15 + 5*l**4/2 - 20*l**3/3 - 25*l**2/3 + 12*l - 185. Find i such that q(i) = 0.
-9, -1, 1/2, 2
Factor -80 - 49215*b**3 + 49150*b**3 - 120*b**2 + 629*b - 89*b.
-5*(b - 2)*(b + 4)*(13*b - 2)
Let x be 6/21 + (-3 - 675/(-63)). Factor x*n + 20 + 4/5*n**2.
4*(n + 5)**2/5
Suppose -15 = 5*c, c + 0*c = 4*z - 11. Suppose -42*m - 40*m - 2*m**z + 86*m = 0. Calculate m.
0, 2
Let y(q) = 2*q**4 + q**3 + q**2 - q. Let n(g) = -9*g**4 - 5*g**3 - 3*g**2 + 5*g - 1. Let o(z) = 6*n(z) + 26*y(z). Solve o(d) = 0 for d.
-3, -1, 1
Let f(q) = 10*q**3 - 14*q**2 - 38*q - 10. Let j(v) = -50*v**3 + 69*v**2 + 190*v + 49. Let t(r) = 11*f(r) + 2*j(r). Determine b so that t(b) = 0.
-1, -2/5, 3
Let j = -1/727 + 8001/2908. Suppose -3/2*q**4 + 1/4*q**5 + 3/2 + 0*q**2 + 5/2*q**3 - j*q = 0. Calculate q.
-1, 1, 2, 3
Let q(j) = j**3 + 4*j**2 - 5*j - 1. Let d be q(-5). Let p be (-4)/3*3*d. Suppose 3 - 18*n**3 - 3*n**2 + 7 - 27*n**p - 10 - 12*n**5 = 0. Calculate n.
-1, -1/4, 0
Let p = 649 + -73. Let z = -4023/7 + p. Determine q, given that 3/7*q**3 + 3*q - 15/7*q**2 - z = 0.
1, 3
Factor 3*o**5 - 4*o**2 - 2*o**4 + 4*o**2 + 11*o**5 + 2*o**2 - 2*o**3 - 12*o**5.
2*o**2*(o - 1)**2*(o + 1)
Factor 2*p - 2/11*p**2 - 56/11.
-2*(p - 7)*(p - 4)/11
Let o(a) = 7*a**2 + 244*a + 206. Let r be o(-34). Factor -24/5 - 9*x + 6/5*x**r.
3*(x - 8)*(2*x + 1)/5
Let s = 47 - 35. Suppose -84*k + 6*k**2 - 33*k**3 - s - 12 + 71*k**3 - 17*k**3 = 0. What is k?
-2, -2/7, 2
Suppose 17*a + 11*a = 10*a. Find i, given that 4/7*i**4 - 2/7*i**5 + 0*i**2 + a*i - 2/7*i**3 + 0 = 0.
0, 1
Let q = -10 - -12. Factor -6*f**2 - 5*f**4 + 8*f**4 + q*f**2 + 6*f**2 + 4*f**5 - 9*f**3.
f**2*(f - 1)*(f + 2)*(4*f - 1)
Let k(o) be the third derivative of -7*o**5/165 + o**4/12 - 2*o**3/33 - 164*o**2. Factor k(y).
-2*(2*y - 1)*(7*y - 2)/11
Let t(n) = 13*n**3 - 573*n**2. Let v(f) = -72*f**3 + 3152*f**2. Let l(d) = -28*t(d) - 5*v(d). Factor l(b).
-4*b**2*(b - 71)
Let a(q) be the third derivative of -3*q**8/56 - 87*q**7/35 - 673*q**6/20 - 1109*q**5/18 - 448*q**4/9 - 196*q**3/9 + 11*q**2 + 2. Solve a(o) = 0 for o.
-14, -1/3
Let t = 975 + -973. Let x = -45 - -89. Factor 56 - x + y**2 - 4*y**t.
-3*(y - 2