-d. Factor 16*k - 12*k**3 - 8*k**4 - 24*k**d + 27*k**2 + 28*k**5 - 11*k**2.
4*k*(k - 2)**2*(k + 1)**2
Let a be (-6164)/(-2345) - (-16)/28. Determine g so that -8*g + a - 86/5*g**3 - 124/5*g**2 - 18/5*g**4 = 0.
-2, -1, 2/9
Suppose -7*m - 540 - 62 = 0. Let s = m + 274/3. Find p, given that -40/3*p + 10/3*p**3 + 4/3*p**2 - s = 0.
-2, -2/5, 2
Let o be (-10 - -6) + -2 + 3. Let k(d) = -7*d**2 - 75*d - 52. Let h(i) = 2*i**2 + 25*i + 17. Let j(z) = o*k(z) - 8*h(z). Determine v, given that j(v) = 0.
-4, -1
Let f(k) be the third derivative of 0 - 39/20*k**5 + 0*k + 1/40*k**6 + 507/8*k**4 - 2197/2*k**3 - 22*k**2. What is v in f(v) = 0?
13
Suppose i + i + 106 = 5*f, -3*i = -3*f + 69. Factor 11*j**4 - 51*j**4 - 8*j**4 - f*j**5 - 8*j**2 - 36*j**3.
-4*j**2*(j + 1)**2*(5*j + 2)
Let s(t) be the third derivative of -t**5/60 + t**4/6 + 5*t**3/6 - 22*t**2 + t. Factor s(v).
-(v - 5)*(v + 1)
Suppose -10 - 9*k - 10*k**4 + 20*k**2 + 14*k + 5*k**5 - 2*k**3 - 8*k**3 = 0. Calculate k.
-1, 1, 2
Let u be (3/((-9)/7) - -3)/14. Let h(v) be the first derivative of 64/21*v**3 + 12/7*v**4 + 16/35*v**5 + u*v**6 + 0*v + 16/7*v**2 - 5. Factor h(g).
2*g*(g + 2)**4/7
Determine u, given that -2/3 - 1/3*u + 1/3*u**3 + 2/3*u**2 = 0.
-2, -1, 1
Let q be ((-5)/(-15))/(1/2*1). Let f(a) be the second derivative of q*a**3 - 1/12*a**4 + 0 + 3*a - 2*a**2. Find w, given that f(w) = 0.
2
Let q(s) be the second derivative of 17*s + 2/3*s**3 + 0*s**2 + 0 - 5/6*s**4 + 2/5*s**5 - 1/15*s**6. Determine i so that q(i) = 0.
0, 1, 2
Factor 202*i**3 + 74708 + 270*i**2 + 6292 - 8100*i - 205*i**3.
-3*(i - 30)**3
Let k = 15567 + -31843/2. Let g = -354 - k. Find c such that 0 + g*c + 1/2*c**2 = 0.
-1, 0
Let q = -21 + 26. Suppose k = 5*r + 3, 4*r + 3 = 2*k - 3. Determine d, given that 2*d**2 + 6*d**q + 3*d**4 + 3*d**k + 11*d**4 + 7*d**3 = 0.
-1, -1/3, 0
Factor -66/5*h**2 - 2/5*h**3 + 0 - 64/5*h.
-2*h*(h + 1)*(h + 32)/5
Let w(z) = 4*z**2 - 6*z - 26. Let k be w(-7). Let d be (-1)/4 + 3 + k/(-112). Find l such that 0 + 2/7*l**2 + 0*l - d*l**3 = 0.
0, 1/3
Let p(w) = 2*w**3 + 7*w**2 + w - 1. Let i(v) = 4*v**3 + 15*v**2 + 3*v - 1. Let m be -5 + (2 + -6)*3/6. Let k(s) = m*p(s) + 3*i(s). Factor k(r).
-2*(r - 1)*(r + 1)*(r + 2)
Suppose 4*q = 2*s - 3*s + 18, 0 = q + 4*s + 3. Let b be ((-6)/20)/(q - 204/30). Factor 1/6*g**2 - b + 0*g.
(g - 1)*(g + 1)/6
Let j(b) be the third derivative of -b**6/40 + 11*b**5/4 - 91*b**4 - 392*b**3 + 14*b**2 + 2. Factor j(s).
-3*(s - 28)**2*(s + 1)
Let p be ((572/66)/13)/((-1)/(-6)). Determine c, given that 3/5*c**p - 9/5*c**3 - 6/5 + 9/5*c + 3/5*c**2 = 0.
-1, 1, 2
Let f(s) = 2*s**3 - 8*s**2 - 12*s - 6. Let r(t) = -4*t**3 + 7*t**2 + 12*t + 9. Let w(u) = 6*f(u) + 4*r(u). Factor w(x).
-4*x*(x + 2)*(x + 3)
Let a(r) = 2*r - 1. Let c(s) = s**2 + 23*s + 7. Let w(k) = -5*a(k) + c(k). Find q, given that w(q) = 0.
-12, -1
Let g(j) be the first derivative of 3*j**3 + 12*j**2 - 48*j - 249. Solve g(p) = 0 for p.
-4, 4/3
Let p be (-9)/15*-3*50/290. Let w = p - -24/203. Factor w*y + 12/7*y**2 + 12/7*y**4 + 0 + 3/7*y**5 + 18/7*y**3.
3*y*(y + 1)**4/7
Let h(v) be the second derivative of v**5/32 - 11*v**4/32 - 7*v**3/24 - 33*v. Factor h(f).
f*(f - 7)*(5*f + 2)/8
Let j be -4 - (-24)/(2 + 2). Determine z, given that -3*z + 6*z**2 - j*z + 2*z**4 - 3*z**3 + 4*z - 2 + 10*z**3 = 0.
-2, -1, 1/2
Let i(h) = h**2 + 7*h + 1. Let q be i(-9). Determine d, given that -7*d**2 + 2*d**2 + q*d - 27*d + d**2 = 0.
-2, 0
Let m(x) be the second derivative of -x**6/45 - 3*x**5/10 - 29*x**4/18 - 13*x**3/3 - 6*x**2 + 121*x. Solve m(p) = 0 for p.
-3, -2, -1
Let u(i) = -i**3 + 9*i**2 - i + 12. Let k be u(9). Suppose 0 + 18*y**2 + 3*y**4 - 6*y - 12*y**3 + k - 6*y = 0. What is y?
1
Factor 1/3*s**2 + 68/3 + 23*s.
(s + 1)*(s + 68)/3
Suppose 2*v + 4*v = -72. Let p be (v/3)/(-4 + 2). Factor -2*f + 4 - f**3 + 3*f - 9*f + 5*f**p.
-(f - 2)**2*(f - 1)
Factor 0*v**2 + 4*v**2 - 7*v**2 - 75*v - 72.
-3*(v + 1)*(v + 24)
Let j(v) = v**2 - 1. Let x(m) be the second derivative of 3*m**4/4 + m**3/2 - 3*m**2 - 2*m. Let n(s) = -12*j(s) + x(s). Factor n(k).
-3*(k - 2)*(k + 1)
Let j = 134/3 - 44. Let i be 304/1596*7/6. Let -4/9*d**3 - 2/3*d**4 + 2/9 - i*d**5 + j*d + 4/9*d**2 = 0. What is d?
-1, 1
Determine o, given that -185*o**2 + 55*o**3 - o**4 + 128*o - 4*o**4 - 90 + 97*o = 0.
1, 3, 6
Let n(f) be the third derivative of -f**8/420 + f**6/30 - f**5/15 - 2*f**3 + 3*f**2. Let u(b) be the first derivative of n(b). Factor u(q).
-4*q*(q - 1)**2*(q + 2)
Factor -432*x + 180*x**3 + 216*x**2 + 34*x**4 - 42*x**5 - 39*x**5 + 83*x**5.
2*x*(x - 1)*(x + 6)**3
Let a(w) be the first derivative of 5/3*w**3 + 5/2*w**2 - 20 - 30*w. Factor a(r).
5*(r - 2)*(r + 3)
Let -1/4*f**4 + 0 + 1/4*f**3 + 3/4*f + 5/4*f**2 = 0. What is f?
-1, 0, 3
Suppose -44 - 28 = -24*s. Let h(z) be the first derivative of 12*z - 2 + 3/5*z**5 - 6*z**2 + 3/2*z**4 - 3*z**s. Find x such that h(x) = 0.
-2, 1
Let w(x) be the first derivative of -2*x**3/33 - 13*x**2/11 + 28*x/11 + 117. Solve w(m) = 0.
-14, 1
Determine c, given that 45*c**2 - 96*c + 0 + 3/2*c**3 = 0.
-32, 0, 2
Let u(s) be the third derivative of -s**8/56 - 2*s**7/21 + 47*s**6/60 - 7*s**5/15 - 11*s**4/3 + 8*s**3 + 8*s**2. Suppose u(z) = 0. Calculate z.
-6, -1, 2/3, 1, 2
Let f(l) = -l**3 - 8*l**2 + 3*l + 24. Let m be f(-8). Suppose -4/7*q + 18/7*q**2 + m = 0. Calculate q.
0, 2/9
Suppose 0 = -2*i + 7*i - 25. Let n(a) be the second derivative of 1/15*a**3 + i*a + 0*a**2 + 0*a**4 - 1/50*a**5 + 0. Find c, given that n(c) = 0.
-1, 0, 1
Let o be 2/(-3)*(-12)/16*1. Let b be 3 - 2 - 3/6. Factor -o*r**3 - 1/2 + b*r**2 + 1/2*r.
-(r - 1)**2*(r + 1)/2
Let w = -10 - -14. Factor k**w - k**3 - 16*k**2 - 4*k + 15*k**4 + 5*k**3.
4*k*(k - 1)*(k + 1)*(4*k + 1)
Let h be 8 + (-700)/98 + (-12)/14. Suppose 1/2*y**5 + h*y + 0 - 1/2*y**2 + 1/2*y**4 - 1/2*y**3 = 0. What is y?
-1, 0, 1
Let o(n) be the second derivative of n**6/9 + 2*n**5/15 + 15*n + 3. Factor o(s).
2*s**3*(5*s + 4)/3
Let v(u) = -3*u**4 + 3*u**2 + 2. Let c(i) = -2*i**4 - i**3 + i**2 + 1. Let h(a) = 6*c(a) - 3*v(a). What is l in h(l) = 0?
-1, 0
Let n(o) be the second derivative of o**7/630 - o**6/180 - o**5/5 - 7*o**4/12 - 9*o. Let q(l) be the third derivative of n(l). Factor q(z).
4*(z - 3)*(z + 2)
Let i(g) be the first derivative of 49*g**4/4 + 7*g**3/3 - 20*g**2 - 16*g + 50. Let i(s) = 0. Calculate s.
-4/7, 1
Suppose 4*y = -5*o - 6, -y + o = 2*y - 5. Suppose -5*n + y = -3*t + 22, 5*t + 4*n + 2 = 0. Solve -7*g**3 + 3*g**3 + 22*g**2 - 4*g - 14*g**t = 0 for g.
0, 1
Let f(p) = -2*p**2 - 5*p + 3. Let a be f(-3). Determine t, given that a + 2/11*t**3 - 4/11*t + 2/11*t**2 = 0.
-2, 0, 1
Let j(x) be the second derivative of x**7/105 - 2*x**5/25 - 44*x - 3. Find b, given that j(b) = 0.
-2, 0, 2
Suppose 0 = -112*m + 115*m - 27. Factor 8*u**2 + m*u - 17*u**2 + 3*u**3 - 3*u**2.
3*u*(u - 3)*(u - 1)
Let w(l) be the third derivative of l**6/240 + 3*l**5/160 - 5*l**4/96 - l**3/16 - 193*l**2. Solve w(a) = 0.
-3, -1/4, 1
Determine g, given that -5/4*g**4 + 6*g + 19/4*g**2 + 1 - 3/2*g**3 = 0.
-2, -1, -1/5, 2
Let g(p) be the second derivative of -p**5/150 + p**4/60 + p**2/2 - 21*p. Let o(d) be the first derivative of g(d). Factor o(y).
-2*y*(y - 1)/5
Let g(s) = -2*s**2 - s - 2. Let n(k) = -4*k**3 - 12*k**2 + 106*k - 60. Let u(d) = 6*g(d) + n(d). Factor u(r).
-4*(r - 2)*(r - 1)*(r + 9)
Let t = 51 - 17. Factor -26*m - t*m + 34*m**2 + 12 - 7*m**2 + 0*m.
3*(m - 2)*(9*m - 2)
Let j = 24483 - 24479. Determine m, given that -3/2*m**3 + 0 + 1/4*m**2 + 3/2*m - 1/4*m**j = 0.
-6, -1, 0, 1
Let w(s) = -s**4 + s**3. Let q(u) = -u**4 - 39*u**3 + 145*u**2 - 195*u + 90. Let f(p) = -q(p) + 6*w(p). Factor f(k).
-5*(k - 3)**2*(k - 2)*(k - 1)
Let h(i) be the second derivative of -1/36*i**4 - 1/9*i**3 + 0 + 3*i - 1/6*i**2. What is y in h(y) = 0?
-1
Determine w, given that -1/10*w**4 - 1/5*w + 1/5*w**3 + 2/5*w**2 - 3/10 = 0.
-1, 1, 3
Solve -45*t**4 + 35*t**5 + 8*t**2 - 40*t - 130*t**3 + 34*t**2 + 138*t**2 = 0.
-2, 0, 2/7, 1, 2
Let u(h) be the second derivative of -h**7/840 + h**6/120 - h**4 - 8*h. Let k(c) be the third derivative of u(c). Find f such that k(f) = 0.
0, 2
Let f be 16303/20139 - 1/7. Factor -f*i**2 - 8/3*i + 8/3*i**4 - 16/3*i**5 + 20/3*i**3 - 2/3.
-2*(i - 1)**2*(2*i + 1)**3/3
Let m = -137 + 140. Determine t, given that 51 + 15*