8*w + 20. Let k(z) = h*g(z) - p(z). Factor k(u).
-(u - 4)**2*(u + 1)
Let k(j) be the second derivative of -j**4/4 + 3*j**3 - 12*j**2 + 2*j + 70. Find c, given that k(c) = 0.
2, 4
Factor -714/5*y + 3/5*y**2 + 42483/5.
3*(y - 119)**2/5
Let r be 12/42 + (100/(-7) - -2). Let y(m) = -32*m**2 - 4*m. Let g(f) = -f**2 - f - 1. Let p(z) = r*g(z) + y(z). Determine u, given that p(u) = 0.
-3/5, 1
Solve -181*b - 2*b**2 - 18*b**2 + 9 + 21 + 66*b = 0.
-6, 1/4
Let v(s) be the third derivative of s**6/30 - 7*s**5/15 - 3*s**4 - 4*s**2. Factor v(w).
4*w*(w - 9)*(w + 2)
Let n(i) be the third derivative of i**8/672 + 23*i**7/420 + 19*i**6/24 + 329*i**5/60 + 833*i**4/48 + 343*i**3/12 - 79*i**2. Factor n(b).
(b + 1)**2*(b + 7)**3/2
Let p(r) = -4*r**3 + 13*r**2 + 21*r - 27. Let b(w) = -6*w**3 + 19*w**2 + 31*w - 41. Let d(k) = -5*b(k) + 7*p(k). Factor d(j).
2*(j - 2)**2*(j + 2)
Factor 0*g**2 - 86*g + 56*g + g**2.
g*(g - 30)
Let h(j) be the second derivative of j**7/140 - j**6/80 - j**5/40 + j**4/16 + 19*j**2/2 - 3*j. Let t(w) be the first derivative of h(w). Factor t(c).
3*c*(c - 1)**2*(c + 1)/2
Suppose -3*r + 45 = w + 44, -3*w + 3 = -r. Let 16/5 - 4/5*n**2 + r*n = 0. What is n?
-2, 2
Let u be ((-77)/70 + 1)/(6/(-36)). What is j in -54/5*j**2 - 324/5*j - 648/5 - u*j**3 = 0?
-6
Let g be 6 + (16 - (-594)/(-27)). Let 1/6*d**2 + 4/3*d + g = 0. Calculate d.
-8, 0
Let i(l) = 8*l**2 - 8*l. Let m = 49 + -48. Let u(q) = -q**2. Let v(c) = m*i(c) + 4*u(c). Factor v(t).
4*t*(t - 2)
Let d(u) be the second derivative of 1/6*u**4 + 6*u + 7/20*u**5 - 1/15*u**6 - 1/6*u**7 + 0*u**3 + 0 + 0*u**2. Solve d(p) = 0 for p.
-1, -2/7, 0, 1
Let z(j) be the third derivative of j**6/30 + 169*j**5/15 + 1204*j**4 + 4704*j**3 + 221*j**2. Factor z(q).
4*(q + 1)*(q + 84)**2
Let y(n) be the first derivative of 2/21*n**3 + 288/7*n + 24/7*n**2 - 39. Factor y(o).
2*(o + 12)**2/7
Let g(d) = -d**2 - 2*d + 6. Let x be g(-3). Factor -i**3 + 12 + 15*i**2 + 415*i - 439*i - 2*i**x.
-3*(i - 2)**2*(i - 1)
Let 0 + 2/3*w**3 - 16/3*w**2 - 8*w + 2/3*w**4 = 0. What is w?
-2, 0, 3
Suppose 0 = 3*a - 22 - 5. Solve 7*y**2 + a*y**4 + 7*y + 5*y - 30*y**3 + 14*y**2 - 12 = 0.
-2/3, 1, 2
Suppose c - 59 = -14*l, -3*l - 6 = -5*c - 3. Let 0 + 0*g + 0*g**2 + 1/4*g**c = 0. Calculate g.
0
Factor -660*a**2 - 51 + 36*a + 333*a**2 + 326*a**2 + 16*a.
-(a - 51)*(a - 1)
Suppose 5*n + 0 - 20 = 0. Let d be (n - (11 - 1))/(-2). Factor 40 - 40 + 3*h + 3*h**d - 6*h**2.
3*h*(h - 1)**2
Let g(a) = -a**4 + 18*a**3 + 6*a + 6. Let x(o) = o**3 + o + 1. Let l(i) = g(i) - 6*x(i). Factor l(p).
-p**3*(p - 12)
Suppose -2*w + 4*k + k = 11, 0 = -3*w + 4*k - 6. Let q(x) be the second derivative of -1/3*x**w + 1/6*x**4 - x + 0 + 2/9*x**3. Determine v so that q(v) = 0.
-1, 1/3
Let o = 1074/185 - 200/37. What is x in -o*x + 1/5*x**2 + 1/5 = 0?
1
Let n(h) be the third derivative of h**5/150 + h**4/10 - 101*h**2. Find o, given that n(o) = 0.
-6, 0
Let z = 10524 - 10519. Find o such that 0 - 2/7*o**z - 6/7*o**2 + 4/7*o + 6/7*o**4 - 2/7*o**3 = 0.
-1, 0, 1, 2
Let c(i) = 167*i + 1004. Let z be c(-6). Factor -2/9*t**z + 4/3 + 10/9*t.
-2*(t - 6)*(t + 1)/9
Let a(l) be the third derivative of -l**7/945 - l**6/108 + 11*l**5/135 - 4*l**4/27 + 41*l**2 + 2*l. Factor a(u).
-2*u*(u - 2)*(u - 1)*(u + 8)/9
Let 176*j**2 - 90*j**5 - 32*j - 150*j**3 - 204*j**3 + 308*j**4 - 8*j**5 = 0. Calculate j.
0, 4/7, 1
Let t(g) be the third derivative of 0 + 1/660*g**6 + 1/3696*g**8 - 1/88*g**4 - 1/330*g**5 - 1/66*g**3 + 0*g + 1/770*g**7 - 14*g**2. Let t(m) = 0. Calculate m.
-1, 1
Suppose -5*c = -21 + 11. Factor -l**c - l**3 + 6 + 3*l + 3*l - 5*l - 5.
-(l - 1)*(l + 1)**2
Let z = 20390 + -20387. Factor 1/6*j**4 + 0*j + 1/3*j**z + 0 + 0*j**2.
j**3*(j + 2)/6
Let v = 1815 + -1813. Let x(y) be the first derivative of 4/3*y**3 - y**4 + 12*y + 10*y**v + 6. Factor x(a).
-4*(a - 3)*(a + 1)**2
Let z(u) = -19*u**5 + 9*u**4 + 169*u**3 + 9*u**2 - 9*u + 9. Let b(g) = 9*g**5 - 4*g**4 - 84*g**3 - 4*g**2 + 4*g - 4. Let v(i) = 9*b(i) + 4*z(i). Factor v(q).
5*q**3*(q - 4)*(q + 4)
Let w(y) be the first derivative of -y**8/560 - y**7/280 + y**6/60 + 8*y**3/3 + 13. Let h(s) be the third derivative of w(s). Factor h(d).
-3*d**2*(d - 1)*(d + 2)
Suppose u - 9*u = -32. Let u*s**2 + 339 + 170*s - 106*s - 83 = 0. Calculate s.
-8
Let j(l) be the second derivative of l**4/12 + 11*l**3/3 + 121*l**2/2 + 2*l - 19. Factor j(v).
(v + 11)**2
Let z be 15/2*16/(-12). Let g = -8 - z. Suppose 8*n**4 - 4 + 2*n**3 + 2 - 10*n**4 + 6*n**5 - 14*n**3 + 6*n + 4*n**g = 0. Calculate n.
-1, 1/3, 1
Let g(u) be the second derivative of -2*u**6/15 - u**5 + u**4/3 + 34*u**3/3 - 24*u**2 - 377*u. Factor g(l).
-4*(l - 1)**2*(l + 3)*(l + 4)
Let a(i) = i**3 + 1. Let x(t) = 3*t**3 + 25*t**2 + 10*t - 42. Let k(o) = -2*a(o) - x(o). Factor k(d).
-5*(d - 1)*(d + 2)*(d + 4)
Suppose -244 - 59 = -50*k - 51*k. Let 36/11*u**2 + 32/11 - 6*u - 2/11*u**k = 0. Calculate u.
1, 16
Determine p so that -8/7 + 44/7*p**2 - 16/7*p**3 - 20/7*p = 0.
-1/4, 1, 2
Let g = -87 - -103. Let k be 34/35 + g/(-28). Factor -3/5 + 1/5*j**2 - k*j.
(j - 3)*(j + 1)/5
Let g(f) be the first derivative of -2*f**5/65 + 3*f**4/26 + 12*f**3/13 + 4*f**2/13 - 48*f/13 + 12. Solve g(s) = 0.
-2, 1, 6
Let c = 13/11806 + 28889191/82642. Let b = c + -349. Factor b*f**3 + 4/7 + 12/7*f**2 + 12/7*f.
4*(f + 1)**3/7
Let m(i) be the second derivative of i**6/20 - 3*i**5/4 + 17*i**4/8 - 2*i**3 - 2*i + 6. Factor m(f).
3*f*(f - 8)*(f - 1)**2/2
Let w(d) be the first derivative of -d + d**2 + 1/5*d**5 + 0*d**3 - 1/2*d**4 - 7. Find n, given that w(n) = 0.
-1, 1
Let b = 6 - 5. Suppose v = -1, -w + 2*w + 5*v + b = 0. Factor -1/4*x**2 + 2*x - w.
-(x - 4)**2/4
Suppose 0 = 2*n - 3*g + 3, -14*n - g = -11*n - 23. Suppose p = n*p - 15. Let -2/7*k**2 - 2/7*k**4 + 6/7*k**p - 6/7*k + 4/7 = 0. Calculate k.
-1, 1, 2
Let w(o) = o**3 + 6*o**2 - 2*o. Let i be w(-6). Let m be -2 - -10 - i/(-3). What is a in -125*a**5 + 8*a - m*a**4 - 142*a**4 - 30*a**3 - 21*a**4 + 28*a**2 = 0?
-1, -2/5, 0, 2/5
Let d(y) = 9*y**3 - y**2 + 6. Let a(i) = -46*i**3 + 6*i**2 - 32. Let n(j) = -3*a(j) - 16*d(j). Suppose n(b) = 0. Calculate b.
-1/3, 0
Let t = -59 + 62. Solve 5*q**t + 27*q**2 + 24*q - 3*q**3 + 2*q**3 - q**3 = 0.
-8, -1, 0
Suppose 0 - n**3 + 1/2*n**4 - 1/2*n**2 + n = 0. Calculate n.
-1, 0, 1, 2
Suppose -1 = -4379*v + 4381*v - 5. Factor -1/2*d**v + 1/4*d + 1/4.
-(d - 1)*(2*d + 1)/4
Let b(v) = 7*v - 65. Let h be b(10). Let a(w) be the third derivative of 0 - 1/3*w**4 + 2*w**2 + 2/15*w**6 + 0*w**3 + 0*w - 7/15*w**h. Factor a(s).
4*s*(s - 2)*(4*s + 1)
Let n be ((-3 - -3)/(-3))/(-1). Suppose 0 = m - n*m. Factor m*j**4 - j**3 + j**4 - 2*j**4.
-j**3*(j + 1)
Let n(j) be the third derivative of j**5/540 - j**4/24 + 4*j**3/27 - 2*j**2 + 10*j. Factor n(w).
(w - 8)*(w - 1)/9
Let a be 2/(7/((-28)/(-64))). Let s be (36/30*5)/(15/10). Suppose -1/8*q**3 + 0 - a*q**s + 1/8*q**2 + 1/8*q = 0. Calculate q.
-1, 0, 1
Let 2/3*u**5 + 2*u**4 - 8/3*u**3 - 8*u**2 + 0*u + 0 = 0. What is u?
-3, -2, 0, 2
Factor 3446 - 441 + s**2 - 77*s + 716 + 199*s.
(s + 61)**2
Factor 18 - 4*k - 10*k**2 + 0*k - 2 - 10*k**2 + 8*k**2.
-4*(k - 1)*(3*k + 4)
Let l(n) be the first derivative of 0*n + n**3 - 19 + 9/10*n**2. Factor l(q).
3*q*(5*q + 3)/5
Let z(k) = -k**3 - 7*k**2 + 19*k + 4. Let h be z(-9). Let s be h/2 + (-1 - -4). Factor s*m**2 + m + 0.
m*(m + 2)/2
Let g(k) be the first derivative of -k**5/20 + 3*k**4/2 - 18*k**3 + 6*k**2 + 26. Let b(h) be the second derivative of g(h). Factor b(c).
-3*(c - 6)**2
Let q = 202/19 - 473/57. Factor 5/3*o**3 + q*o + 1/3*o**4 + 3*o**2 + 2/3.
(o + 1)**3*(o + 2)/3
Let -84 + 249/7*o**2 - 27/7*o**4 + 18/7*o**3 - 12*o = 0. Calculate o.
-2, 7/3
Let b(z) = z**3 + 4*z**2 - 3*z + 2. Let y be b(-4). Let c be 20/y - 8/(-14). Factor 4 + 5*u - u**2 + c*u**2 + 0*u**2.
(u + 1)*(u + 4)
Let f = -29825 + 29829. Suppose 6/19*w**3 + 0*w + 4/19*w**2 - 2/19*w**5 + 0*w**f + 0 = 0. Calculate w.
-1, 0, 2
Let f = 4382 - 4380. Let -14/15*a**3 + 4/15*a + 0 + 6/5*a**5 + 6/5*a**4 - 2/3*a**f = 0. Calculate a.
-1, 0, 1/3, 2/3
Let m(r) = -r**3 - 22*r**2 - 59*r + 37. Let o be m(-19). Let l = o - 25. Factor -l*g**4 + 35/3*g**5 + 25*g - 200/3*g**2 + 250/3*g**3 - 10/3.
5*(g - 1)**4*(7*g - 2)/3
Let t = 52739/1614 - 5/538. Solve 0 - t*l + 2/3*l**4 + 42*l**2 - 10*l**3 = 0.
0, 1, 7
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