**3*(z - 14)*(3*z - 2)/5
Let r(v) = -v**2 + 5*v - 4. Let d(l) = -46*l + 8*l**2 + 11 + 10*l - 9 + 26. Let n(x) = -6*d(x) - 44*r(x). Factor n(f).
-4*(f - 1)*(f + 2)
Let r be -29 + 22 + 6 + (-3 - -1). Let o be -2*(r + -3 - -5). Solve o - 7/2*u + u**2 + 1/2*u**3 = 0.
-4, 1
Let g(b) be the third derivative of -b**6/280 + b**5/35 - 5*b**4/56 + b**3/7 - 94*b**2 + 2*b. Factor g(t).
-3*(t - 2)*(t - 1)**2/7
Factor -1/2*h**4 + 0*h**2 + 0*h + 0 - 7/2*h**3.
-h**3*(h + 7)/2
Let b(g) = -g**3 - 6*g**2 - 3*g - 9. Let j be b(-6). Let h be ((-3)/j)/(1/(-6)). Factor -h*n**2 - 1 + 4*n + 0 - 1 + 0*n.
-2*(n - 1)**2
Let z(t) be the first derivative of t**3/6 + 13*t**2/8 + 3*t/2 - 108. Factor z(y).
(y + 6)*(2*y + 1)/4
Let h(x) be the second derivative of -1/30*x**6 + 1/126*x**7 + x + 1/18*x**4 + 1/6*x**2 - 1/6*x**3 + 0 + 1/30*x**5. Determine o so that h(o) = 0.
-1, 1
Let m(c) = 5*c**4 - 5*c**3 - 13*c**2 + 23*c - 8. Let n(d) = 10*d**4 - 10*d**3 - 25*d**2 + 45*d - 15. Let s(k) = 5*m(k) - 2*n(k). Determine q so that s(q) = 0.
-2, 1
Let c(s) be the first derivative of 0*s**2 + 0*s - 1/24*s**4 + 0*s**3 + 31 + 1/30*s**5. Factor c(l).
l**3*(l - 1)/6
Let w = 278/645 + -4/129. Determine q, given that -4/5*q - 6/5*q**2 + 0 - w*q**3 = 0.
-2, -1, 0
Let u(x) be the first derivative of x**7/945 + x**6/135 + x**5/45 + x**4/27 + x**3/27 - 9*x**2 + 15. Let l(r) be the second derivative of u(r). Factor l(i).
2*(i + 1)**4/9
Let v(y) = 13*y - 416. Let a be v(32). Let z(r) be the second derivative of a*r**2 + 9*r + 0 - 1/20*r**5 + 5/48*r**4 - 1/24*r**3. Solve z(s) = 0.
0, 1/4, 1
Let b(a) be the first derivative of -3*a**5/5 + 3*a**4/2 + 4*a**3 - 12*a**2 + 479. Factor b(n).
-3*n*(n - 2)**2*(n + 2)
Let g(w) be the second derivative of -w**5/150 + 8*w**4/15 + 68*w**3/15 + 208*w**2/15 - 914*w. Factor g(c).
-2*(c - 52)*(c + 2)**2/15
Let k(x) be the third derivative of 27*x**6/140 + 39*x**5/7 + 127*x**4/21 + 8*x**3/3 + 23*x**2 - x. Solve k(b) = 0 for b.
-14, -2/9
Suppose k = -4*y + 27, -2*k + 0 = -2*y - 24. Factor k + 6 + 5*r**3 - 5*r - 10*r**2 - 11.
5*(r - 2)*(r - 1)*(r + 1)
Let o = 298/1155 + 2/231. Factor 0 + 2/15*n**3 + o*n**2 + 2/15*n.
2*n*(n + 1)**2/15
Let l be (-2706)/25860 + 2*(-2)/(-20). Let i = 2/431 + l. Find b, given that -i*b**2 - 1/5 - 3/10*b = 0.
-2, -1
Let x(z) = -2*z**3 + 9*z**2 - 5*z + 7. Let n be x(6). Let g = n - -131. Let 3/4*o**2 + g + 3/4*o = 0. What is o?
-1, 0
Suppose 235 + 185 = 5*u. Let a be (u/35 - 2)/((-4)/(-5)). Factor -i + 0 + a*i**2.
i*(i - 2)/2
Factor 6/5*q + 1/5*q**3 + 7/5*q**2 + 0.
q*(q + 1)*(q + 6)/5
Let v(g) = -2*g - 36. Let f be v(-20). Let y(k) = k**3 - 5*k**2 + 2*k + 10. Let n be y(f). Factor 2/9*a - 2/9*a**n + 0.
-2*a*(a - 1)/9
Let u(x) be the second derivative of -x**7/147 + 2*x**6/105 + 3*x**5/70 + 164*x. Let u(z) = 0. Calculate z.
-1, 0, 3
Let l = 430/3 - 2141/15. Factor 3/5*o**4 + l*o**3 - 3/5*o + 0 - 3/5*o**2.
3*o*(o - 1)*(o + 1)**2/5
Let v = 146 + -152. Let q be v/14 + ((-19)/(-28) - 0). Factor 2*n + 4 + q*n**2.
(n + 4)**2/4
Let t(z) be the third derivative of -z**5/60 - z**4/12 + 37*z**3/6 - 2*z**2 - 17. Let h be t(-7). Factor 0*a**h + 0*a + 0 + 0*a**4 - 4/5*a**5 + 4/5*a**3.
-4*a**3*(a - 1)*(a + 1)/5
Let p(z) be the second derivative of z**9/1512 - z**8/840 - z**7/420 + z**6/180 - z**3 - 7*z. Let t(l) be the second derivative of p(l). Factor t(j).
2*j**2*(j - 1)**2*(j + 1)
Let d = -4779/22 - -2472/11. Factor -30*y - d*y**3 + 10 + 55/2*y**2.
-5*(y - 2)*(y - 1)*(3*y - 2)/2
Let s(f) be the first derivative of -f**6/12 + 5*f**4/8 - f**2 + 25. Determine c, given that s(c) = 0.
-2, -1, 0, 1, 2
Suppose -4*f + 22 = -2*y, 0 = f - 4*y - 23 + 7. Suppose k = -k + f. Factor 10*i**k - 6*i**4 + 3*i**4 + 0*i**4 - 7*i**2.
-3*i**2*(i - 1)*(i + 1)
Let r be (-34)/17 + (-18)/(-3). Let w(m) be the first derivative of 0*m**2 + 1/4*m - 1/12*m**3 - r. Factor w(a).
-(a - 1)*(a + 1)/4
Let c(l) = -l**3 - 5*l**2 - 17*l - 324. Let q be c(-8). Factor 12/7*h**3 + 4/7*h**q + 4/7*h + 0 + 12/7*h**2.
4*h*(h + 1)**3/7
Let b(a) = 5*a**4 + 14*a**3 + 5*a**2 + 8. Let w be 0 - ((-16)/(-4))/(-12)*9. Let h(q) = -2*q**4 - 5*q**3 - 2*q**2 - 3. Let d(g) = w*b(g) + 8*h(g). Factor d(p).
-p**2*(p - 1)**2
Factor -8/7*r**2 + 2/7*r**3 + 0 + 0*r.
2*r**2*(r - 4)/7
Let 0 + 3*n + 4/3*n**4 + 1/3*n**5 - 2/3*n**3 - 4*n**2 = 0. What is n?
-3, 0, 1
Find i, given that 6*i - 45/2*i**3 + 0 - 3*i**2 - 69/4*i**4 - 15/4*i**5 = 0.
-2, -1, 0, 2/5
Suppose -18 = 17*r - 69. Let 9/2 - 15/2*f + 3/2*f**r + 3/2*f**2 = 0. What is f?
-3, 1
Let i(v) be the third derivative of -v**6/600 + v**5/100 + v**4/5 + 14*v**3/15 + 22*v**2. Factor i(a).
-(a - 7)*(a + 2)**2/5
Let a be -18*((-22)/48 + (-2)/(-16)). Let n(j) be the second derivative of 0*j**2 + 2/3*j**3 - 4*j + 1/6*j**4 - 1/5*j**5 + 0 - 1/15*j**a. Factor n(f).
-2*f*(f - 1)*(f + 1)*(f + 2)
Let j(b) = 14*b**2 + 4*b + 2. Let u(n) = -n**2. Let d = 12 - 15. Let x be 8*((-3)/2 - d). Let i(o) = x*u(o) + j(o). Suppose i(h) = 0. Calculate h.
-1
Factor 32 + 7 + 11 - 10 + 6*n**3 - 20*n**3 - 96*n - 150*n**2.
-2*(n + 1)*(n + 10)*(7*n - 2)
Let i = 10/1261 - -2372/18915. Factor -i*f**2 - 2/5*f - 4/15.
-2*(f + 1)*(f + 2)/15
Let o = 22 - 74. Let k be -2*(1 + o/40). Factor 0 + 1/5*v**3 - k*v**2 + 2/5*v.
v*(v - 2)*(v - 1)/5
Let p(c) be the third derivative of -2*c**3 + c**2 + 0 - 1/30*c**6 + 1/6*c**4 - 25*c + 1/5*c**5. Determine s, given that p(s) = 0.
-1, 1, 3
Let u be (-287)/(-147) - (-17)/51. Suppose 32/7 + 48/7*k**2 + 2/7*k**4 - 64/7*k - u*k**3 = 0. What is k?
2
Let c(g) be the first derivative of g**4/54 - 20*g**3/27 + 100*g**2/9 - 23*g + 43. Let t(i) be the first derivative of c(i). Factor t(y).
2*(y - 10)**2/9
Let j(t) be the third derivative of t**7/1260 + 7*t**6/720 + t**5/24 + 13*t**4/144 + t**3/9 + 503*t**2. Find v, given that j(v) = 0.
-4, -1
Let v(d) be the third derivative of -d**5/270 + 5*d**4/18 - 25*d**3/3 + 19*d**2 - 7*d. Suppose v(z) = 0. What is z?
15
Let u(f) be the first derivative of -f**5/12 + 5*f**3/6 + f**2 - 13. Let l(s) be the second derivative of u(s). Find t such that l(t) = 0.
-1, 1
Let g be 1 - (3 - (0 + -2)). Let z = g + 9. Factor 4*x**z - 4*x**4 + 0*x**3 + 2*x**3 + 4*x**2 - 6*x**3.
4*x**2*(x - 1)**2*(x + 1)
Determine i so that 6/13 - 8/13*i + 2/13*i**2 = 0.
1, 3
Suppose 50/11*w + 250/11 - 10/11*w**2 - 2/11*w**3 = 0. What is w?
-5, 5
Let y be (2/(-8))/((-2842)/3248). Solve 16/7*p**3 + 64/7*p + 48/7*p**2 + y*p**4 + 32/7 = 0.
-2
Let k(s) be the third derivative of s**8/3360 + s**7/2100 - s**6/400 - s**5/120 - s**4/120 - 12*s**2. Suppose k(j) = 0. What is j?
-1, 0, 2
Let y = -5 + 11. Factor -y*x**2 - 2*x**3 + 3*x**2 + 8*x**2 - 3*x**4 - x**5 - 3*x**2 + 3*x + 1.
-(x - 1)*(x + 1)**4
Let d(w) = -6*w**4 - 3*w**3 + w**2 - 3*w + 3. Suppose 12 = -4*t - 0*t. Let i(y) = y**4 - y**3 - y + 1. Let s(c) = t*i(c) + d(c). Find f such that s(f) = 0.
-1/3, 0, 1/3
Let p(x) be the third derivative of -x**7/2240 + x**6/480 + 7*x**3/3 - 15*x**2. Let j(g) be the first derivative of p(g). Determine l so that j(l) = 0.
0, 2
Let w(g) be the first derivative of g**4/14 + 40*g**3/21 + 16*g**2 + 384*g/7 - 301. Solve w(c) = 0 for c.
-12, -4
Let h(t) be the third derivative of -40*t**2 + 0*t + 0 + 4/11*t**3 + 13/330*t**5 + 7/33*t**4 - 1/220*t**6. Solve h(d) = 0.
-1, -2/3, 6
Factor -1326/5*i - 6/5*i**3 + 168/5*i**2 + 2028/5.
-6*(i - 13)**2*(i - 2)/5
Suppose -128*q = -405 + 119 - 354. Let s(c) = c - 4. Let z be s(4). Factor 0*v**2 + z*v - 2/5*v**q + 8/5*v**4 + 0 - 8/5*v**3.
-2*v**3*(v - 2)**2/5
Let m(j) = -8*j**2 + 55*j + 258. Let i(q) = -4*q**2 + 27*q + 126. Let k(h) = -7*i(h) + 3*m(h). Factor k(z).
4*(z - 9)*(z + 3)
Let g be ((-13)/((-7735)/204))/((-3)/(-15)). Find b, given that -3*b**2 + 9/7*b**4 - g*b**3 + 12/7*b + 12/7 = 0.
-1, -2/3, 1, 2
Suppose 3*t + a = -2*a - 72, -t - 2*a = 28. Let u = t - -22. Find p, given that 2*p**2 + p**2 - 5*p - 12*p**2 + u*p - 6*p**3 = 0.
-1, -1/2, 0
Solve 1/7*q**3 - 2/7*q**2 + 1/7*q + 0 = 0.
0, 1
Let f(s) = 23*s. Let b be f(0). Let w(a) be the second derivative of b - 1/10*a**2 - 2*a - 2/15*a**3 - 1/25*a**5 - 1/150*a**6 - 1/10*a**4. Factor w(g).
-(g + 1)**4/5
Let u(x) be the first derivative of -2*x**5/5 - 2*x**4 - 4*x**3/3 + 4*x**2 + 6*x - 54. Factor u(z).
-2*(z - 1)*(z + 1)**2*(z + 3)
Find b, given that 255 + 116*b + 3659*b**2 - 3657*b**2 + 1427 = 0.
-29
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