1*a - 18. Factor y(n).
2*(n + 7)*(n + 10)**3/3
Let p(n) = n**3 + 305*n**2 - 23406*n + 23104. Let s(i) = 4*i**3 + 915*i**2 - 70217*i + 69312. Let u(h) = -7*p(h) + 2*s(h). Find r such that u(r) = 0.
1, 152
Suppose -2*n - 5 = -1, t + 4*n + 5 = 0. Factor 7*f - f**4 - 3*f**2 + f**t + 4*f**2 + 0*f**3 - 8*f.
-f*(f - 1)**2*(f + 1)
Let o(s) be the second derivative of -s**7/350 - s**6/75 - s**5/50 + s**3/30 + 10*s**2 - 27*s. Let v(t) be the first derivative of o(t). Factor v(h).
-(h + 1)**3*(3*h - 1)/5
Let t(k) be the second derivative of -3*k**5/140 + k**3/14 + 381*k. Find y such that t(y) = 0.
-1, 0, 1
Suppose 7*s - 597 - 208 = 0. Let d = s - 227/2. Determine r, given that -3/4*r + 3/4*r**2 - d = 0.
-1, 2
Let i(o) = 30*o - 147. Let v be i(5). Let j(l) be the first derivative of 0*l**2 + l**6 - 4/5*l**5 - 4 + 0*l**4 + 0*l**v + 0*l. Factor j(a).
2*a**4*(3*a - 2)
Let g(z) be the first derivative of -z**5/180 + z**4/72 - 7*z**2 - 10. Let v(r) be the second derivative of g(r). Factor v(h).
-h*(h - 1)/3
Suppose 2*g + 0*o = -2*o + 26, 0 = -2*g + 2*o + 6. Let i = -5 + g. Factor -4*t**2 + 4*t**3 - 6*t + 21*t - i*t - 8*t**2 - 4.
4*(t - 1)**3
Let m(l) be the first derivative of -18*l**3 - 648*l - 162*l**2 - 3/4*l**4 - 32. Factor m(y).
-3*(y + 6)**3
Suppose -4*c + j + 21 = 0, 0 = 3*c - 0*c - 3*j - 27. Let b be -2*4/c*-1. Factor 4*q**b - 7*q + 7*q + q**3 - q**2 - 4.
(q - 1)*(q + 2)**2
Factor -27/5*b + 3/5*b**2 + 54/5.
3*(b - 6)*(b - 3)/5
Let o(k) be the third derivative of -k**5/12 - 5*k**4/3 - 493*k**2. What is n in o(n) = 0?
-8, 0
Factor 3/2*l**2 + 3/2*l - 9.
3*(l - 2)*(l + 3)/2
Let t = 15039 - 15037. Suppose 4/9*v**t - 22/9*v**3 + 22/9*v**5 + 0*v - 4/9*v**4 + 0 = 0. What is v?
-1, 0, 2/11, 1
Let x(m) be the second derivative of 22*m + 0 + 5/2*m**2 + 5/3*m**3 + 5/12*m**4. Factor x(r).
5*(r + 1)**2
Suppose 18*v = 6*v + 6*v. Let z(n) be the third derivative of v*n**4 - 2*n**2 + 0 + 1/20*n**5 + 0*n**6 + 0*n**3 + 0*n - 1/70*n**7. Factor z(l).
-3*l**2*(l - 1)*(l + 1)
Let b(y) be the third derivative of 11*y**2 + 11/735*y**7 - 1/392*y**8 - 1/42*y**4 + 0 - 1/28*y**6 + 3/70*y**5 + 0*y**3 + 0*y. Factor b(x).
-2*x*(x - 1)**3*(3*x - 2)/7
Factor -1/5*b**4 + 12/5*b**3 + 42/5*b - 37/5*b**2 - 16/5.
-(b - 8)*(b - 2)*(b - 1)**2/5
Suppose 72*l**2 - 76 + 7*l - 54*l**3 + 51*l**2 - 44 + 47*l - 3*l**4 = 0. Calculate l.
-20, -1, 1, 2
Let c be ((0/4)/3)/(-1*2). Let b be 3 - c - (3 - (-3)/(-5)). Find o such that -1/5*o**4 + b*o - 1/5*o**2 - 3/5*o**3 + 2/5 = 0.
-2, -1, 1
Solve 0*q**3 - 1700*q**2 + 1706*q**2 + 2*q**3 + 0*q**3 = 0 for q.
-3, 0
Let w(z) = -5*z**3 - 12*z**2 + 4*z + 2. Let x(l) = -l**3 - l**2 + l. Let g(p) = w(p) - 4*x(p). Let f be g(-8). Factor 2*r**2 + 8*r - r**2 - 2*r**f - 5*r.
-r*(r - 3)
Let i(w) be the first derivative of 5*w**4/4 - 6*w**3 + w**2/2 + 24*w + 396. Suppose i(r) = 0. Calculate r.
-1, 8/5, 3
Let s = 8 - 6. Let r be (-2)/(-18) + s/9. Determine t so that -2/3 + 1/3*t**2 + r*t = 0.
-2, 1
Let y(h) = h**2 + 30*h + 221. Let d(c) = 4*c**2 + 120*c + 882. Let b(l) = 4*d(l) - 18*y(l). Factor b(m).
-2*(m + 15)**2
Suppose 3*y - 15*y + 36 = 0. Let z = -3 + y. Factor 0*r - 6/7*r**3 - 4/7*r**2 + z.
-2*r**2*(3*r + 2)/7
Let o(v) be the second derivative of -v**4/66 - 28*v**3/33 - 115*v**2/11 + 468*v. Factor o(y).
-2*(y + 5)*(y + 23)/11
Let q = 10 + -8. Factor -54*p**2 - q*p**4 - 54*p - 36*p**3 + 0*p + 18*p**3.
-2*p*(p + 3)**3
Let x(n) = -12*n**5 + 14*n**4 + 26*n**3 - 41*n**2 - 2*n + 5. Let h(i) = i**5 - i**4 + i**2 + 2*i - 1. Let a(q) = 5*h(q) + x(q). Solve a(m) = 0 for m.
-2, 0, 2/7, 1, 2
Factor -1/3*w**2 + 22/3*w + 23/3.
-(w - 23)*(w + 1)/3
Factor -64/17*u**3 - 2/17*u**4 - 768/17*u**2 - 8192/17 - 4096/17*u.
-2*(u + 8)**4/17
Let k(q) be the second derivative of -q**4/54 + 5*q**3/9 - 4*q**2 + 453*q. Factor k(m).
-2*(m - 12)*(m - 3)/9
What is j in 18*j**2 - 88*j**2 - 10*j**3 - 50*j**3 + 70*j**4 + 17*j - 5*j**5 + 48*j = 0?
-1, 0, 1, 13
Let y(s) be the second derivative of 0 + 2*s**2 + 1/270*s**5 + 5*s - 1/54*s**4 - 1/9*s**3. Let l(x) be the first derivative of y(x). Factor l(p).
2*(p - 3)*(p + 1)/9
Let g = -4/3083 + 376498/286719. Let j = g - 20/31. Factor -1/3*x**2 + 0*x + 0 - j*x**3 - 1/3*x**4.
-x**2*(x + 1)**2/3
Suppose -2*i - 59 = -5*w - 34, 0 = 5*w + 5*i + 10. Factor 1/5*z**w + 1/5*z**2 + 0 + 0*z.
z**2*(z + 1)/5
Let h = -90 + 95. Factor -3*z**h + 87 - 9*z**3 + 9*z**4 + 3*z**2 - 87.
-3*z**2*(z - 1)**3
Suppose 0*z = -4*z + 5*g - 93, 4*z - g + 89 = 0. Let u be (-62)/z - (-4)/22. Find s such that -s**4 + s**2 - 1/2*s**5 + 1/2*s + 0*s**u + 0 = 0.
-1, 0, 1
Let g be (2/(-12))/((-20)/(-24))*-2. Factor -g*q**3 + 2/15*q**2 + 2/5*q**4 + 0 + 0*q - 2/15*q**5.
-2*q**2*(q - 1)**3/15
Let j = -18 - -21. Let l(i) be the second derivative of -8*i**2 + 2*i - 8/3*i**j + i**4 - 2/15*i**6 + 0 + 2/5*i**5. Solve l(s) = 0 for s.
-1, 2
Let r = -113 - -125. Suppose -r*i = -16*i. Let -10/9*d**4 + 8/3*d**2 + 8/9*d + 2/3*d**3 + i = 0. What is d?
-1, -2/5, 0, 2
Let n(p) be the third derivative of -p**5/36 - 35*p**4/18 + 320*p**3/9 + 266*p**2. Factor n(t).
-5*(t - 4)*(t + 32)/3
Suppose 3 = -2*z - 1, -3*z = -2*q + 12. Let n be 15 + -17 - (-4 + -2). Determine i so that 3/7*i**n + 0 - 12/7*i**q - 6/7*i + 15/7*i**2 = 0.
0, 1, 2
Let a be 0/((-9 - (-12 - -4)) + 3). Factor -1/6*y**4 - 1/3*y + 1/3*y**3 + a*y**2 + 1/6.
-(y - 1)**3*(y + 1)/6
Let f = -61/2 + 313/10. Let g(d) be the first derivative of 7/15*d**3 - f*d**2 + 1 + 1/4*d**4 - 4/5*d. Factor g(v).
(v - 1)*(v + 2)*(5*v + 2)/5
Suppose -f + 8 = 4*a, -2*a + 32 = -3*f + 28. Let w(t) be the first derivative of -2/13*t + 2/39*t**3 + f*t**2 + 6. Solve w(h) = 0 for h.
-1, 1
Let t be (((-2)/(-5))/((-30)/50))/(-10 + 8). Solve t*u - 1/3*u**2 + 0 = 0 for u.
0, 1
Let s = -45 + 47. Determine l so that -100*l**2 - 80*l**4 + 4*l**s + 4*l + 7 - 172*l**3 + 1 = 0.
-1, -2/5, 1/4
Let c(l) be the third derivative of l**5/360 + l**4/72 - l**3/12 - 10*l**2 - 1. Factor c(v).
(v - 1)*(v + 3)/6
Let d = 7353/4 - 6863/4. Factor -35*z - 5/2*z**2 - d.
-5*(z + 7)**2/2
Let l be -3 - (-36)/1*90/945. Solve 0 - l*u**2 + 0*u - 1/7*u**3 = 0 for u.
-3, 0
Suppose -b + 2*s - 2 - 2 = 0, 5*b - 2*s + 4 = 0. Let a be (4 + b)*(1 + 0). Factor 0*t**3 + 0 + 1/4*t**a - 1/4*t**2 + 0*t.
t**2*(t - 1)*(t + 1)/4
Let i(j) be the third derivative of -j**5/20 - 11*j**4 - 968*j**3 - 64*j**2 - 3*j. Factor i(d).
-3*(d + 44)**2
Let d = -449 + 451. Let n(q) be the second derivative of 0*q**d + 1/294*q**7 + 1/210*q**6 - 2*q + 0 - 1/140*q**5 - 1/84*q**4 + 0*q**3. Factor n(o).
o**2*(o - 1)*(o + 1)**2/7
Let u be -2*((-4)/(-10))/((-42)/84). What is d in -14/5*d**3 + 0 + 24/5*d**2 + u*d = 0?
-2/7, 0, 2
Let l(d) be the second derivative of -d**7/42 + 11*d**6/75 - 7*d**5/25 + 2*d**4/15 - 3*d + 87. Factor l(p).
-p**2*(p - 2)**2*(5*p - 2)/5
Let s(v) = 7*v**2 - 29*v + 45. Let z(k) = -20*k**2 + 86*k - 134. Let g(y) = 14*s(y) + 5*z(y). Determine m so that g(m) = 0.
2, 10
Let j(u) be the third derivative of u**7/210 - u**5/30 + 2*u**3/3 - 8*u**2. Let p(n) be the first derivative of j(n). Suppose p(d) = 0. Calculate d.
-1, 0, 1
Let w(d) be the third derivative of -49*d**6/660 - 161*d**5/165 - 43*d**4/33 - 8*d**3/11 - 6*d**2 - 8. Factor w(r).
-2*(r + 6)*(7*r + 2)**2/11
Let n be 3/(-1) - (-1 - (-1621)/(-748)). Let w = n + 1/68. Suppose -2/11*j**5 - w*j**2 + 2/11*j**3 + 2/11*j**4 + 0*j + 0 = 0. Calculate j.
-1, 0, 1
Suppose 24 = 4*h - 10*b, -9*b = -4*b - 30. Determine z, given that -h*z - 3/2*z**2 - 147/2 = 0.
-7
Let j be 143/(-462) + (-2)/(-6). Let w(q) be the second derivative of 1/21*q**3 + j*q**4 + 0*q**2 - 5*q + 0. Suppose w(p) = 0. Calculate p.
-1, 0
Determine y so that -31/5*y - 6/5*y**3 + 29/5*y**2 - 6/5 = 0.
-1/6, 2, 3
Let k(y) = y**3 - 6*y**2 + 22*y + 4. Let d be k(7). Let t be (-24)/(-10)*115/d. Solve -s**3 + 0 + t*s + 0*s**2 + 1/3*s**4 = 0.
-1, 0, 2
Let r(k) be the third derivative of k**6/200 - 3*k**5/50 + 3*k**4/10 - 4*k**3/5 + 228*k**2. Factor r(i).
3*(i - 2)**3/5
Let y be (-2)/6 + (-925)/(-1110). Factor -2*r - 3/2*r**2 + 2 - y*r**4 + 2*r**3.
-(r - 2)**2*(r - 1)*(r + 1)/2
Let f(w) be the second derivative of w**5/40 - w**4/8 + w**3/6 - w - 51. Factor f(d).
d*(d - 2)*(d - 1)/2
Let g = 1 - 6. Let b = 21 + g. Find s, given that 9 + 3 + b*s + 4*s**2 + 0 = 0.
-3, -1
Suppose 0 = -17*b + 8*b + 18. Find n, given that 74*n - 