(k) be the first derivative of -5*k**3/18 + 10*k**2 - 115*k/6 - 278. Factor b(p).
-5*(p - 23)*(p - 1)/6
Let v(x) be the second derivative of x**4/20 - 27*x**3/5 - 33*x**2/2 + 67*x. Solve v(p) = 0 for p.
-1, 55
Let b be 11 + -2 + (-3 - -9 - 15). Determine w, given that 2/9*w**3 + 4/9*w + 2/3*w**2 + b = 0.
-2, -1, 0
Factor 27/4*v**2 + 0*v + 0 - 3/4*v**3.
-3*v**2*(v - 9)/4
Let y(x) be the second derivative of -15*x + 0 + 2/3*x**4 + 2/3*x**3 + 0*x**2 - 4/15*x**6 + 0*x**5 - 2/21*x**7. Factor y(o).
-4*o*(o - 1)*(o + 1)**3
Let -44*f**4 + 44*f**2 + 105/2*f**3 + 0 - 121/2*f**5 + 8*f = 0. What is f?
-1, -4/11, 0, 1
Let j(z) be the second derivative of 1/5*z**6 + 10*z - z**3 + 1/5*z**5 + 0 - 1/3*z**4 + 1/21*z**7 - z**2. Factor j(l).
2*(l - 1)*(l + 1)**4
Let q = 47 - 44. Determine z, given that -z + z**2 + 4*z**2 - z - 4 - q*z**2 = 0.
-1, 2
Factor 526*p - 430 + 724*p + 5*p**2 - 1045*p.
5*(p - 2)*(p + 43)
Let p = -22132 + 22134. Solve 22/5*j - 24/5 + 2/5*j**p = 0 for j.
-12, 1
Let y(d) be the third derivative of -d**7/1680 - 3*d**6/320 - 9*d**5/160 - 31*d**4/192 - d**3/4 - 27*d**2 - 4*d. Factor y(t).
-(t + 1)**2*(t + 3)*(t + 4)/8
Let j be 8/(-5) - (78/(-30) - -3). Let u be j/(-8) + (-228)/(-48). Factor 0 - 3/4*v**4 + 0*v**2 + 1/2*v**u + 1/4*v**3 + 0*v.
v**3*(v - 1)*(2*v - 1)/4
Let z = -40394/21 + 1924. Let a = z + -1/7. Determine q so that 1/6*q**3 + a*q + 0 - 2*q**4 + 3/2*q**2 = 0.
-2/3, -1/4, 0, 1
Solve 81/4*i + 0 + 3/4*i**2 = 0 for i.
-27, 0
Suppose 4*b - 4*h = 136, 5*b - h = h + 164. Let w be (0 + 12/b)/((-6)/(-8)). Suppose -1/6*l**3 - 1/6 - 1/2*l**2 - w*l = 0. What is l?
-1
Let p be (-120)/(-54) - (14/(-18) - -1). Find u such that -p*u**2 - u**4 + 2060 - 2060 - 3*u**3 = 0.
-2, -1, 0
Let s = -6090 + 6090. Find y, given that -2/5*y + 4/5*y**2 + s - 2/5*y**3 = 0.
0, 1
Let y = -13 - -2185/168. Let z(p) be the third derivative of 0*p**3 - 2/35*p**7 + 0*p**4 + y*p**8 + 1/5*p**6 - 5*p**2 + 0 - 4/15*p**5 + 0*p. Factor z(n).
2*n**2*(n - 2)**3
Let b be 1/(-14) - (-2)/28. Let h(w) be the first derivative of 0*w**5 - 1/12*w**6 + 10 + 0*w**3 - 1/4*w**2 + b*w + 1/4*w**4. Factor h(o).
-o*(o - 1)**2*(o + 1)**2/2
Let f(j) = -19*j + 116. Let d be f(6). Let q(s) be the second derivative of 0*s**d + 1/30*s**3 + s + 1/60*s**4 + 0. Solve q(w) = 0 for w.
-1, 0
Let g(o) = o - 6. Let f be g(6). Let d be ((-295)/50 - -6)*2. Factor 0*n**2 + f*n**3 - 1/5*n**4 + 0*n + d*n**5 + 0.
n**4*(n - 1)/5
Let c = 4 - -9. Factor -15*t - 22*t + c*t**2 + 40*t + 3*t**3 - 5*t**2 - 2*t**4.
-t*(t - 3)*(t + 1)*(2*t + 1)
Suppose 221 - 221 = 16*l. Let y(p) be the second derivative of -7*p + 1/14*p**4 - 3/7*p**2 + l - 1/21*p**3 + 1/70*p**5. Factor y(j).
2*(j - 1)*(j + 1)*(j + 3)/7
Let l be ((-26)/39)/(1/(-6)). Determine r, given that 99*r + 90*r**3 - 13*r**2 + 27 + 37*r**l + 62*r**2 - 10*r**4 + 89*r**2 + 3*r**5 = 0.
-3, -1
Let c(s) be the second derivative of s**7/70 + s**6/40 - s**5/10 + 3*s**2 + 12*s. Let z(h) be the first derivative of c(h). Factor z(d).
3*d**2*(d - 1)*(d + 2)
Determine o, given that -33*o**2 - 94 + 2*o**4 - 34*o + 66 + o**3 + 93*o - o**4 = 0.
-7, 1, 4
Let k be ((-1)/(-70))/(3*4/(-768)). Let c = k + 6/5. Factor c + 0*i**2 + 4/7*i**3 - 2/7*i**4 - 4/7*i.
-2*(i - 1)**3*(i + 1)/7
Let q(n) be the first derivative of 1/9*n**6 + 4/3*n**4 + 14 - 8/9*n**3 - 2/3*n**5 + 0*n**2 + 0*n. Factor q(a).
2*a**2*(a - 2)**2*(a - 1)/3
Let y(q) be the second derivative of -1/100*q**5 + 0*q**3 + 4*q + 1/60*q**4 + 0*q**2 + 0 + 1/210*q**7 - 1/150*q**6. Determine o, given that y(o) = 0.
-1, 0, 1
Suppose 2*n + n + 23 = 4*j, 4*j - 47 = -5*n. Suppose 0*t + 8 = 4*t. Suppose -j*u + 5*u + 0*u + 2*u**t + u**2 = 0. What is u?
0, 1
Suppose 50 + 26/3*t**2 - 2/3*t**3 - 110/3*t = 0. Calculate t.
3, 5
Let c(r) be the first derivative of 1/5*r**2 - 2/15*r**3 - 1/10*r**4 - 11 + 2/5*r. Factor c(p).
-2*(p - 1)*(p + 1)**2/5
Let w(a) = a**3 + 13*a**2 + 23*a + 11. Let p(v) = 3*v**3 - 6*v**3 + 4*v**3 + 19*v**2 + 96*v - 61*v + 17. Let k(n) = 5*p(n) - 8*w(n). Factor k(f).
-3*(f + 1)**3
Let g be (11/(-110))/(4/(-288)). What is p in g*p + 24/5*p**3 + 0 - 66/5*p**2 + 6/5*p**4 = 0?
-6, 0, 1
Suppose -4*c = -23 + 7. Let u = c + -2. Factor -x**3 + x**3 - 2*x**3 - u*x**2.
-2*x**2*(x + 1)
Let g be (-36)/11*(-15 - -13)*1. Determine i, given that 60/11*i**3 + g*i**2 + 16/11*i + 0 - 50/11*i**4 = 0.
-2/5, 0, 2
Let x(u) = -2*u**5 - u**4 - 2*u**3 + u**2 - 1. Let g(a) = 9*a**5 + 59*a**4 + 483*a**3 - 7519*a**2 + 25920*a - 27644. Let q(n) = -g(n) - 4*x(n). Factor q(h).
-(h - 3)**3*(h + 32)**2
Suppose 97/7 + 4/7*d**2 - 389/7*d = 0. What is d?
1/4, 97
Let x(s) = -2*s**2 - 40*s - 32. Let k(g) = 2*g**2 + 38*g + 31. Let v(c) = 6*k(c) + 5*x(c). Solve v(i) = 0 for i.
-13, -1
Let a(j) be the third derivative of 0 + 3/56*j**4 + 60*j**2 - 3/280*j**6 + 0*j - 1/7*j**3 + 1/490*j**7 + 1/140*j**5. Factor a(d).
3*(d - 2)*(d - 1)**2*(d + 1)/7
Let t(o) be the first derivative of -1/20*o**5 + 1 - 1/24*o**6 + 0*o + 1/12*o**3 + 1/16*o**4 + 0*o**2. Let t(w) = 0. What is w?
-1, 0, 1
Let c be (-2 + 15/12)*(-14)/735. Let g(t) be the second derivative of 0*t**2 + c*t**5 - t + 1/105*t**6 - 1/42*t**4 - 1/147*t**7 + 0*t**3 + 0. Factor g(y).
-2*y**2*(y - 1)**2*(y + 1)/7
Let k(l) be the second derivative of l**5/5 + 2*l**4 + 22*l**3/3 + 12*l**2 - 122*l. Factor k(g).
4*(g + 1)*(g + 2)*(g + 3)
Suppose 4*v - 4*h = 128, 4*v = -2*h + 52 + 46. Suppose 100 + 35 = v*k. What is b in -4/3*b**5 + 0 + k*b**4 + 2/3*b + b**2 - 16/3*b**3 = 0?
-1/4, 0, 1, 2
Factor -4/7*g**4 + 2/7*g**3 + 0*g + 0 + 0*g**2 + 2/7*g**5.
2*g**3*(g - 1)**2/7
Solve 2/3*q**2 - 8/3 + 0*q = 0 for q.
-2, 2
Let d(i) be the third derivative of i**6/720 - 29*i**5/360 + 3*i**4/8 - 34*i**2 - 2. Solve d(m) = 0 for m.
0, 2, 27
Suppose -y - 4*i + 13 + 13 = 0, -3*y + 8 = -2*i. Suppose 5*a**3 - y*a + 457*a**4 + 7*a**3 - 10*a - 453*a**4 = 0. Calculate a.
-2, 0, 1
Suppose 16 = -4*n - 5*b + 14, 0 = -n + 5*b + 12. Suppose 0 = -5*l + 2*g + n, -5*l + l - 3*g - 3 = 0. Factor 2/3*p**3 + 0 + l*p**4 - 2/3*p**5 + 0*p**2 + 0*p.
-2*p**3*(p - 1)*(p + 1)/3
Let x(m) be the second derivative of m**4/12 + 23*m**3/6 - 12*m**2 + 10*m + 2. Factor x(z).
(z - 1)*(z + 24)
Suppose 83 = -7*m + 97. Factor -m*x**3 + 0 + 8/3*x**4 - 2/3*x**2 + 0*x.
2*x**2*(x - 1)*(4*x + 1)/3
Let c(s) be the third derivative of s**6/72 + s**5/12 - 5*s**4/3 + 26*s**3/3 - 21*s**2 - 2. Let t(g) be the first derivative of c(g). Solve t(u) = 0 for u.
-4, 2
Suppose 4*u = 5*c + 46, u - 9 = -c - 2. Determine x, given that -12 + 12*x + 9*x**2 - 8*x**4 - 4*x**4 - 6*x**3 + u*x**4 = 0.
-2, 1
Let d(o) be the second derivative of o**6/15 + 2*o**5/5 - 8*o**4/3 - 16*o**3/3 + 48*o**2 - 439*o. Factor d(i).
2*(i - 2)**2*(i + 2)*(i + 6)
Let q be (2/9)/((-4)/(-50)) - 34/(-153). What is g in q*g**4 + 3/2*g**5 + 0 - 3*g**2 - 3/2*g + 0*g**3 = 0?
-1, 0, 1
Factor 0*d + 0 + 15/2*d**2 - 3/4*d**4 - 27/4*d**3.
-3*d**2*(d - 1)*(d + 10)/4
Let w(u) be the third derivative of u**6/480 + u**5/30 + 7*u**4/96 - 15*u**2 + 4*u. Factor w(n).
n*(n + 1)*(n + 7)/4
Suppose -4/5*v - 2/5*v**2 + 48/5 = 0. Calculate v.
-6, 4
Let b be (-4)/(-22) + 91/(-77) + 3. Determine n, given that 6*n**3 + 4*n + 11 - 25*n**2 - n**b - 4 + 9 = 0.
-2/3, 1, 4
Determine u so that -6/5*u + 4*u**2 + 0 - 2/5*u**5 - 24/5*u**3 + 12/5*u**4 = 0.
0, 1, 3
Factor -136/7*q - 2/7*q**2 - 2312/7.
-2*(q + 34)**2/7
Suppose -42*a + 43*a - 3 = 0. Factor 0*r - 4/3*r**4 + 2/3*r**5 + 0*r**a + 0 + 0*r**2.
2*r**4*(r - 2)/3
Let c(s) be the third derivative of -57*s**2 + 0*s + 0*s**3 + 11/180*s**6 - 1/504*s**8 - 4/315*s**7 + 0 + 0*s**4 - 1/15*s**5. Determine n so that c(n) = 0.
-6, 0, 1
Let o = 29 - -12. Let h = o - 6. Suppose 4 + 28*w - 29*w**3 + 0 + 11*w**2 - h*w**3 + 21*w**2 = 0. Calculate w.
-1/4, 1
Let j(t) be the third derivative of -13*t**6/420 + t**5/14 - t**4/42 + 108*t**2. Solve j(b) = 0 for b.
0, 2/13, 1
Let y(c) be the second derivative of c**6/10 - 3*c**5/4 - 13*c**4/4 - 7*c**3/2 + 47*c + 2. Factor y(x).
3*x*(x - 7)*(x + 1)**2
Let u(d) be the first derivative of -d**4/46 - 60*d**3/23 - 2700*d**2/23 - 54000*d/23 - 172. Find g, given that u(g) = 0.
-30
Suppose 2*s - 3*c - 2*c = 0, -c = s. Let f(u) be the third derivative of 0*u + 1/15*u**5 + 0*u**3 + 0*u**4 + 8*u**2 + s. Find p, given that f(p) = 0.
0
Find i, given that 4/7 + 46/7*i**2 - 18/7*i**4 - 26/7