 20/9*s - 4/3 + 19/9*s**3 = 0. Calculate s.
-6, -2, -1, 1
Let c(v) be the second derivative of v**6/120 + v**5/40 - 3*v**4/16 - 3*v**3/4 - 10*v - 5. Factor c(y).
y*(y - 3)*(y + 2)*(y + 3)/4
Let b(j) = -2*j**3 - 344*j + 348*j + j**3 - j**2 + 0*j**3 - 4. Let k be b(-3). Solve 15/4*d**3 + 3/4*d + 9/2*d**k + 0 = 0 for d.
-1, -1/5, 0
Let x be 2337/270 - ((-50)/18 - -3). Let g = 53/6 - x. Find p, given that 2/5*p**4 + 4/5 - 6/5*p**2 + g*p - 2/5*p**3 = 0.
-1, 1, 2
Let d = 877/2853 + -27/317. Determine r, given that -d*r**2 + 16/3*r - 32 = 0.
12
Factor 0 - 196/3*d**2 - 16/3*d + 50/3*d**3.
2*d*(d - 4)*(25*d + 2)/3
Let z(q) = -32*q**2 - 80*q - 24. Let m(a) = 266*a - 130*a - 135*a + a**2. Let f(y) = -12*m(y) - z(y). Factor f(k).
4*(k + 3)*(5*k + 2)
Let x(c) be the first derivative of 5*c**4/16 + 5*c**3/2 + 15*c**2/2 + 10*c - 111. Suppose x(t) = 0. Calculate t.
-2
Let n(o) be the first derivative of o**4 + 67*o**3/24 + 19*o**2/8 + 3*o/8 + 73. Factor n(a).
(a + 1)**2*(32*a + 3)/8
Let x(k) be the third derivative of 1/6*k**4 + 4/3*k**3 - 2/15*k**5 - 7*k**2 - 1/30*k**6 + 0*k + 0. Solve x(o) = 0.
-2, -1, 1
Let p(c) be the second derivative of c**4/4 + 17*c**3/2 + 45*c**2 + 41*c + 2. Find x, given that p(x) = 0.
-15, -2
Suppose -3357*y = -3366*y + 45. Let j(i) be the second derivative of 0 + 0*i**2 + 1/4*i**5 - y*i + 5/12*i**4 - 5/3*i**3. Factor j(q).
5*q*(q - 1)*(q + 2)
Let s(w) be the second derivative of w**6/70 + 3*w**5/35 - 3*w**4/28 - 5*w**3/7 + 12*w**2/7 + w - 34. Factor s(t).
3*(t - 1)**2*(t + 2)*(t + 4)/7
Factor -1/6*k**2 - k + 8/3.
-(k - 2)*(k + 8)/6
Let o(u) = 133*u + 402. Let k be o(-3). Suppose n = -4*n. Solve n - 4/5*w**5 + 2*w**4 - 2/5*w**2 + 2/5*w - 6/5*w**k = 0 for w.
-1/2, 0, 1
Suppose 0 = 3*u + k - 118, 0*u = u + 4*k - 43. Determine z, given that 13*z**2 - 3*z**3 + 18 - 13*z**2 + 24*z**2 + 6*z**3 + u*z = 0.
-6, -1
Let q(t) = -4*t**2 - 18*t + 2. Let n(f) = f**2 + 6*f - 1. Let k(b) = 10*n(b) + 3*q(b). Factor k(g).
-2*(g - 2)*(g - 1)
Let q(f) be the first derivative of -f**6/36 + 3*f**4/8 - 2*f**3/9 - f**2 + 118. Determine z so that q(z) = 0.
-3, -1, 0, 2
Suppose -10 = -4*g - 2*z, -5*g + 2*z + 4 = -4. Factor 2*y**4 + 15*y - 9*y**g - 6*y**3 + y**4 + 3*y**3 - 6.
3*(y - 1)**3*(y + 2)
Let v(s) be the third derivative of 25*s**8/462 - 4*s**7/231 + s**6/660 - s**2 + 57*s. What is i in v(i) = 0?
0, 1/10
Let l be (81/(-75) + (-6)/(-10))/(108/(-360)). Suppose 8/5*j - 6/5*j**3 - l*j**2 + 8/5*j**4 - 2/5*j**5 + 0 = 0. What is j?
-1, 0, 1, 2
Let q(m) = -5*m**3 + 55*m**2 - 45*m + 5. Let u(s) = 2*s**2 - s + 1. Let i(r) = q(r) - 5*u(r). Factor i(b).
-5*b*(b - 8)*(b - 1)
Let g be (16/36)/(8/36). Factor k**3 + 0*k**g - 2*k**4 + 2*k**3 - 3*k**5 - k**4 + 3*k**2.
-3*k**2*(k - 1)*(k + 1)**2
Factor 3707398432 + 410*n**4 - 16070*n**3 + 5513680*n**2 + 39393501*n - 51170*n**3 - n**5 - 265454381*n.
-(n - 82)**5
Factor -54*h + 3*h**4 - 33*h**3 + 21*h**2 + 26*h**2 + 16*h**2 + 9*h**3.
3*h*(h - 3)**2*(h - 2)
Let p be 1/(-4)*4*1/(-6). Find k such that 5/6*k - p*k**4 + 1/2*k**2 - 1/6*k**3 + 1/3 = 0.
-1, 2
Let y = -38 + 40. Let f be y + -1 - (-12)/(-18). Let -f*g + 0 + 1/6*g**2 = 0. Calculate g.
0, 2
Let w = -8769 - -8772. Suppose 98*t - 1/5*t**4 + 22/5*t**w - 168/5*t**2 - 343/5 = 0. What is t?
1, 7
Let i(x) be the second derivative of x**7/1260 - 2*x**6/405 - x**5/135 - 5*x**4/4 + 7*x. Let f(o) be the third derivative of i(o). Determine n so that f(n) = 0.
-2/9, 2
Let r be ((-156)/16)/(-39)*4/(8/27). Find c, given that 9/4*c**3 + 0*c**2 - c**4 + 1/8*c**5 + 0 - r*c = 0.
-1, 0, 3
Let l(i) be the third derivative of 4*i**5/135 - i**4/54 - 38*i**2. Find u such that l(u) = 0.
0, 1/4
Let f(x) = x**3 - x**2. Let w(u) = -482*u**3 - 3566*u**2 - 1248*u - 112. Let t(z) = 2*f(z) - w(z). Find n, given that t(n) = 0.
-7, -2/11
Suppose -z - l + 9 = 1, 0 = -5*l + 15. Factor -67*b + 0*b**5 - 6*b**3 + 3*b**z + 70*b.
3*b*(b - 1)**2*(b + 1)**2
Let t be (4/66)/(86/946). Determine a so that -8/9*a**2 - 2/9*a**5 + 8/9*a**4 - t*a**3 + 0 + 8/9*a = 0.
-1, 0, 1, 2
Let s be (-13)/(-78) + (-46)/(-12). Let v = 6 - s. Find p, given that v*p + 4/3 + 2/3*p**2 = 0.
-2, -1
Let m(j) be the first derivative of -9/11*j**4 - 13/11*j**2 + 4/3*j**3 - 1/33*j**6 + 6/11*j - 37 + 14/55*j**5. Solve m(x) = 0.
1, 3
Suppose p + 1 = -3*r, -2*r - 2*p - 38 = -32. Factor r + 1/2*d - d**2 - 1/2*d**3.
-(d - 1)*(d + 1)*(d + 2)/2
Let t(q) = 2*q**4 - 766*q**3 + 259*q**2 - 49*q + 7. Let a(i) = -i**4 + 255*i**3 - 86*i**2 + 14*i - 2. Let z(r) = 14*a(r) + 4*t(r). Factor z(j).
-2*j**2*(j - 84)*(3*j - 1)
Let w = 1/503 - -495/4024. Find r such that -w*r**3 - 1/4*r**2 + 0*r + 0 = 0.
-2, 0
Let a(h) be the third derivative of h**5/15 - 5*h**4/6 - 28*h**3/3 - 130*h**2. Suppose a(d) = 0. What is d?
-2, 7
Suppose -5*j - 60 = 2*o, 0 = 2*j - 3*j + 3*o + 5. Let u be -5*(6/j)/1. Find r such that 0 + 4/7*r - 6/7*r**u - 10/7*r**2 = 0.
-2, 0, 1/3
Factor 2/3*i**3 + 112/3*i + 160/3 + 26/3*i**2.
2*(i + 4)**2*(i + 5)/3
Let b(u) = 2*u**3 + 2*u**2 + 6*u - 16. Let c be b(2). Suppose 6*s = c - 2. Factor 4/3*r**s + 1/3 + 2*r + 3*r**2.
(r + 1)**2*(4*r + 1)/3
Let l(i) be the third derivative of i**6/540 - i**5/27 + 7*i**4/27 - 8*i**3/9 - 7*i**2 - 6. Factor l(x).
2*(x - 6)*(x - 2)**2/9
Let x(a) be the second derivative of a**7/21 - 2*a**6/5 + 11*a**5/10 - a**4 + a - 83. Let x(r) = 0. What is r?
0, 1, 2, 3
Let u be (-3 + 2)/((-201)/(-99) - 2). Let v be u*(-7)/(-273) - 1/(-1). Solve 2/13*d**5 - 2/13 + 4/13*d**2 + 2/13*d - v*d**4 - 4/13*d**3 = 0.
-1, 1
Factor -4*u**2 - 2281 - 3*u + 29*u - 170*u + 985.
-4*(u + 18)**2
Let x be ((-228)/(-152))/(-182*(-3)/(-8)). Let y = x - -54/91. Let 4/7*l**2 - y*l - 8/7 = 0. Calculate l.
-1, 2
Let n(i) = 35*i**2 + 20*i - 5. Suppose -8*l + 14*l = 24. Let v(o) = 35*o**2 + 21*o - 6. Let m(u) = l*n(u) - 5*v(u). Solve m(d) = 0.
-1, 2/7
Let w(o) be the first derivative of -30*o + 70/3*o**3 + 28 - 85/2*o**2. Factor w(s).
5*(2*s - 3)*(7*s + 2)
Let c(o) = o**3 + 4*o**2 - 5*o - 17. Suppose -7*g - 4 = 24. Let v be c(g). Determine b so that 0 + b**2 - 1/2*b**5 - b**4 + 1/2*b + 0*b**v = 0.
-1, 0, 1
Let n be (-36)/25*(-1230)/328. Factor 9/5*w**2 - 3*w**3 + 0 + 3/5*w**4 + n*w.
3*w*(w - 3)**2*(w + 1)/5
Let s(q) = -q**2 - 26*q + 360. Let n be s(-36). Factor 2/5*k**3 + 0*k + 2/5*k**2 + n.
2*k**2*(k + 1)/5
Let d(a) = a**2 + 20*a - 50. Let p(m) = -3*m**2 - 16*m - 6. Let w be p(-5). Let l(x) = x**2. Let k(g) = w*d(g) + 3*l(g). Factor k(r).
2*(r - 5)**2
Let g = 49510/111411 - -2/37137. Solve 2/3*w + 0*w**2 - 2/9*w**3 - g = 0 for w.
-2, 1
Suppose -2*a + 6/7 + 2*a**3 - 6/7*a**2 = 0. What is a?
-1, 3/7, 1
Let d be (20/24)/((-1)/(-6)). Let y(c) be the first derivative of 0*c**4 - 7 + 0*c**2 - 4/5*c**d - 4*c + 8/3*c**3. What is p in y(p) = 0?
-1, 1
Let p(k) be the second derivative of 5*k**7/42 - k**6/3 - k**5/4 + 5*k**4/6 - 50*k. Solve p(c) = 0.
-1, 0, 1, 2
Let a(t) = 2*t**2 + 3*t - 12. Let k be a(-4). Let 17*s**5 - 24*s**3 - 24 - 76*s + k*s**4 - 97*s**2 - 13*s**5 + 17*s**2 = 0. What is s?
-2, -1, 3
Let u(k) be the third derivative of -k**9/20160 + 3*k**8/2240 - k**7/70 + k**6/15 - k**5/6 - 5*k**2. Let t(m) be the third derivative of u(m). Factor t(z).
-3*(z - 4)**2*(z - 1)
Suppose 0 = -4*l, 5*y - 2*l - 114 + 74 = 0. Factor 28/3*o - 4/3*o**2 - y.
-4*(o - 6)*(o - 1)/3
Suppose -a = -6*a + 10. Find u such that 5*u**2 + 2*u**a - u**3 - 4*u**2 + 4*u = 0.
-1, 0, 4
Let k(m) = 4*m**4 + 71*m**3 - 56*m**2 - 161*m + 120. Let y(w) = w**4 + 24*w**3 - 19*w**2 - 54*w + 40. Let d(c) = 4*k(c) - 11*y(c). Find s, given that d(s) = 0.
-4, -2, 1
Let c be (-18)/(-14) + 2/(-16)*8. Factor -2/7*q + 2/7*q**3 - 2/7*q**4 + c*q**2 + 0.
-2*q*(q - 1)**2*(q + 1)/7
Let p(m) be the second derivative of 5*m**4/12 + 25*m**3/2 + 35*m**2 + 4*m + 24. What is k in p(k) = 0?
-14, -1
Factor -80 - 95*o**3 + 37*o**2 + 75*o**3 + 43*o**2 + 5*o**5 - 15*o**4.
5*(o - 2)**3*(o + 1)*(o + 2)
Let j be (-31)/899 + 6306/1218. Find g, given that 3/7*g**2 + 24/7*g + j = 0.
-6, -2
Let l(w) be the third derivative of 1/30*w**5 + 0 - 25*w**2 + 0*w - 1/3*w**3 + 0*w**4. Factor l(m).
2*(m - 1)*(m + 1)
Let a(f) be the third derivative of 11*f**7/630 + 97*f**6/360 + 7*f**5/18 - 2*f**4/9 - 49*f**2. Factor a(s).
s*(s + 1)*(s + 8)*(11*s - 2)/3
Let q(o) = 3*o**2 - 3*o - 14. Let l be q(-2). Let k(p) be the second derivative 