2*u - 1)
Suppose c + 19 = 2*w, 3*w - 7 = 4*c + 19. Suppose 5*i - 2*t = 4, 5*i - t - w = -3. Find m such that -16*m**2 + 22*m - i + 4*m**3 + 2 - 6*m = 0.
0, 2
Let k(u) be the third derivative of u**6/30 + u**5 - 3*u**4 - 64*u**3/3 - 222*u**2 + 1. Factor k(d).
4*(d - 2)*(d + 1)*(d + 16)
Factor 64 + 1/4*r**2 - 8*r.
(r - 16)**2/4
Let f(t) be the third derivative of 5*t**8/24 + 9*t**7/14 - 41*t**6/24 + t**5 - 191*t**2. Solve f(l) = 0.
-3, 0, 1/2, 4/7
What is v in 1/4*v**3 + 169/4 + 195/4*v + 27/4*v**2 = 0?
-13, -1
Suppose 4*t - 108 = t. Let c(u) = u**5 + u**3 - u**2. Let r(v) = 10*v**5 + 3*v**4 + 9*v**3 - 9*v**2. Let l(w) = t*c(w) - 4*r(w). What is p in l(p) = 0?
-3, 0
Let a(c) be the second derivative of 2/3*c**2 + 7/18*c**3 - 1/60*c**5 + 0 + 1/18*c**4 + 7*c. Determine n so that a(n) = 0.
-1, 4
Let g(p) = p**2 + p + 16. Let h be g(-12). Determine d so that d**2 + 180*d**4 + 16*d - h*d**3 - 10*d**2 - 39*d**2 = 0.
-2/5, 0, 2/9, 1
Let v(z) = -z**3 - z. Let o(r) = r**3 - r**2 + 10*r + 12. Let d be (-136)/14 + 2/(-7). Let s(h) = d*v(h) - 5*o(h). Factor s(n).
5*(n - 3)*(n + 2)**2
Let y(r) = 2*r**3 - r**2 + r + 1. Let z(o) = -11*o**3 - 8*o**2 + 27*o - 6. Let j(h) = -6*y(h) - z(h). Factor j(i).
-i*(i - 11)*(i - 3)
Let g(f) be the first derivative of 2*f**5/55 - 68*f**4/11 + 4624*f**3/11 - 157216*f**2/11 + 2672672*f/11 + 55. Factor g(z).
2*(z - 34)**4/11
Suppose 4*g - 2 = -f + 7, 3*f = -5*g + 6. Determine m, given that 51*m**3 + 15*m + 46*m**g - 87*m**3 - m**5 - 20*m**2 - 4 = 0.
-4, 1
Find h such that -3/7*h**2 - 3/7*h + 36/7 = 0.
-4, 3
Let d(a) = 6*a - 45. Let z be d(8). Let q(x) be the third derivative of -1/120*x**6 + 0*x**3 + 1/210*x**5 - z*x**2 + 1/294*x**7 + 0 + 0*x**4 + 0*x. Factor q(o).
o**2*(o - 1)*(5*o - 2)/7
Let d(y) be the first derivative of 2*y**5/15 - y**4/6 - 14*y**3/9 + 13*y**2/3 - 4*y - 61. Let d(s) = 0. Calculate s.
-3, 1, 2
Let z = 20988/8795 + 24/1759. Factor 12/5*u**2 - 3/5*u + 3/5*u**3 - z.
3*(u - 1)*(u + 1)*(u + 4)/5
Let b(g) be the second derivative of -g**6/180 + g**5/90 + g**4/9 - 4*g**3/9 - 9*g**2/2 - 8*g. Let h(d) be the first derivative of b(d). Factor h(s).
-2*(s - 2)*(s - 1)*(s + 2)/3
Suppose -3*j + 30 = -j. What is c in -j*c**3 - c**4 - 4*c**4 - 10*c**2 + 0*c**3 = 0?
-2, -1, 0
Factor 5*p**5 - 10*p**3 + 5*p - 6*p**5 + 6*p**5.
5*p*(p - 1)**2*(p + 1)**2
Let l be (8/(-22))/((-57)/627). Factor -1/2*u**2 + 4*u**3 + 0 - 8*u**l + 0*u.
-u**2*(4*u - 1)**2/2
Let i(b) be the second derivative of -b**9/16632 + b**7/4620 - 29*b**3/3 + 2*b. Let d(o) be the second derivative of i(o). What is k in d(k) = 0?
-1, 0, 1
Let i(y) be the third derivative of -4*y**2 + 2/3*y**3 - 5/6*y**4 + 0*y + 0 - 1/3*y**6 + 2/3*y**5 - 1/84*y**8 + 2/21*y**7. Factor i(j).
-4*(j - 1)**5
Let p(t) be the first derivative of t**6/30 + t**5/10 - t - 5. Let s(a) be the first derivative of p(a). Factor s(y).
y**3*(y + 2)
Let p(w) be the second derivative of 0 - 45*w + 1/30*w**6 + 1/3*w**3 + 0*w**4 - 1/10*w**5 - 1/2*w**2. Solve p(i) = 0 for i.
-1, 1
Let i(m) be the third derivative of m**5/60 + 19*m**4/72 + m**3/3 - 112*m**2. Factor i(r).
(r + 6)*(3*r + 1)/3
Let u = -75632/7 - -10805. Let 9/7*o + u*o**2 + 6/7 = 0. Calculate o.
-2, -1
Suppose 0 = 4*s - t - 3*t - 20, 0 = -t - 3. Factor -4 + 2*r**3 - 2*r**2 - 4*r**2 - 4*r**3 - 10*r - s*r**2.
-2*(r + 1)**2*(r + 2)
Let d(n) be the third derivative of -n**6/180 + n**5/30 - 5*n**3/6 + 18*n**2. Let v(z) be the first derivative of d(z). Factor v(t).
-2*t*(t - 2)
Let j be (-3 - 1 - -6)*5/90. Let p(s) be the first derivative of -8/27*s**3 + 1/6*s**4 - 4 + 0*s + j*s**2. Factor p(x).
2*x*(x - 1)*(3*x - 1)/9
Let q(k) be the third derivative of -k**7/2016 - k**6/288 + 7*k**4/24 + 2*k**2. Let d(a) be the second derivative of q(a). Determine t so that d(t) = 0.
-2, 0
Let p(x) be the first derivative of -x**6/24 + x**5/5 - x**4/4 + 52. Factor p(c).
-c**3*(c - 2)**2/4
Let q(c) be the third derivative of 1/28*c**4 + 0*c + 0 - 1/210*c**5 + 0*c**3 + 5*c**2. Factor q(g).
-2*g*(g - 3)/7
Let b(r) be the third derivative of -r**5/210 + 25*r**4/84 - 8*r**3/7 + 26*r**2 + 7*r. Solve b(z) = 0 for z.
1, 24
Let p(v) = v**5 + 3*v**4 - 16*v**3 + 2*v**2 + 12*v - 11. Let r(c) = c**4 + c + 1. Let k(q) = 2*p(q) + 6*r(q). Factor k(m).
2*(m - 1)**3*(m + 1)*(m + 8)
Find n, given that -196*n - 4*n**4 - 6*n**3 - 252*n**2 - 43*n**3 + 31*n**3 - 42*n**3 = 0.
-7, -1, 0
Factor 236 + 6*r**2 - 240*r + 5*r**2 + 13*r**2 - 20*r**2.
4*(r - 59)*(r - 1)
Let q be 4/42*(-28)/(-6) - (-265)/315. Factor 0 + 3/7*t**4 + q*t**3 + 0*t + 6/7*t**2.
3*t**2*(t + 1)*(t + 2)/7
Let q = 57 - 62. Let t(j) = 2*j**3 + 10*j**2 - 5*j - 22. Let a be t(q). Solve 0*v + 2/3*v**2 + 0 - 5/3*v**a = 0 for v.
0, 2/5
Let b be ((-64)/(-728))/(72/252). Solve -2/13*m**2 - 6/13*m - b = 0 for m.
-2, -1
Let w be -2 + -23 - (-6)/(-3). Let o = w - -29. Suppose 10 + o*d - 63*d**5 - 2 + 5*d**2 - 24*d**4 + d**2 - 38*d + 89*d**3 = 0. Calculate d.
-1, 2/7, 2/3
Let b(f) = -f**3 - 11*f**2 - 2*f - 25. Let q be b(-11). Let n be q/(-8)*4 - 3/(-6). Suppose 3/2*r + 1/4*r**n + 9/4 = 0. What is r?
-3
Find f such that -9 - 5*f**2 + 33 + 41 + 18 + 42 = 0.
-5, 5
Let a(l) be the third derivative of -l**8/1344 + l**7/84 - 7*l**6/160 + 19*l**2 + l. Let a(s) = 0. What is s?
0, 3, 7
Let d(a) = a**3 - a**2. Suppose -8 = -y - 0*y. Let w(h) = y*h**2 + h**2 - 20*h**5 - 10*h**3 + 21*h**5. Let o(z) = -18*d(z) - 2*w(z). Factor o(p).
-2*p**3*(p - 1)*(p + 1)
Let c = 4169 - 4169. Factor -v + c + 1/2*v**3 + 1/2*v**2.
v*(v - 1)*(v + 2)/2
Let y(i) be the second derivative of 7*i**3 + 147/2*i**2 + 0 + 26*i + 1/4*i**4. Factor y(h).
3*(h + 7)**2
Let a(d) = 5*d**4 - 7*d**3 - 23*d**2 - 5*d + 2. Let t(y) = 16*y**4 - 21*y**3 - 71*y**2 - 15*y + 5. Let k(f) = 21*a(f) - 6*t(f). Factor k(g).
3*(g - 4)*(g + 1)**2*(3*g - 1)
Let a(q) = q**3 - 7*q**2 + 38. Let p be a(6). Factor 0*f**p - 1/7*f**3 + 0*f + 0.
-f**3/7
Let b = -2327 - -2327. Factor 0*u - 4/5*u**4 + 2/5*u**5 - 6/5*u**3 + b*u**2 + 0.
2*u**3*(u - 3)*(u + 1)/5
Let f(p) = 5*p**2 + 49*p + 75. Let i be f(-8). Find t, given that 3/5*t**2 + 0*t + 0 + 1/5*t**i = 0.
-3, 0
Let s(f) be the first derivative of -2*f**3/63 - 23*f**2/21 + 16*f/7 - 479. Factor s(g).
-2*(g - 1)*(g + 24)/21
Suppose 0*m - 5*m + 23 = -k, 13 = -k + 3*m. Let v be ((-9)/6)/(k*(-3)/12). What is s in 0 + 1/4*s**v - 1/2*s**2 + 0*s = 0?
0, 2
Let m be (-7392)/(-459) - (-266)/2261. Factor 500/9 - 10/9*y**4 - m*y**3 - 230/3*y**2 - 950/9*y.
-2*(y + 5)**3*(5*y - 2)/9
Let a = 26 + 31. Find y, given that 8*y + 32*y**2 - a*y**2 + 29*y**2 - 12 = 0.
-3, 1
Let z = -1/556 + 35/139. Determine l, given that -z*l**2 + 1/2*l + 3/4 = 0.
-1, 3
Determine y so that 27*y**4 + 11*y**5 + 12*y + 21*y**3 + 12*y - 44*y**2 - 39*y**3 = 0.
-2, 0, 6/11, 1
Determine h, given that 8/3*h - 2/15*h**5 + 8/15*h**4 - 28/15*h**2 - 2/15*h**3 - 16/15 = 0.
-2, 1, 2
Let m(y) be the second derivative of y**5/20 - y**4/3 - 2*y**3 - 28*y - 3. Solve m(p) = 0 for p.
-2, 0, 6
Factor -13*b + 41*b - 8*b - 16*b + 44 - 2*b**2 - 22*b.
-2*(b - 2)*(b + 11)
Let p = -19591 - -176323/9. Let b(m) = -m + 7. Let g be b(7). Determine k so that 0*k**4 + 2/9*k + 2/9*k**5 - p*k**3 + g*k**2 + 0 = 0.
-1, 0, 1
Let k be (-288)/(-30) - 4/(-10). Let m = 12 - k. Factor -5*x + 8*x - 3*x**3 + 3*x**m - 3*x**4 + 0*x**3.
-3*x*(x - 1)*(x + 1)**2
Let s be (-4)/((-1836)/(-93)) - (-26)/117. Let k = s - -5/51. Factor -k*x**4 + 2/17*x**5 + 2/17*x**2 - 2/17*x**3 + 0 + 0*x.
2*x**2*(x - 1)**2*(x + 1)/17
Factor 5/3*g**3 - 5/3*g - 10/3 + 10/3*g**2.
5*(g - 1)*(g + 1)*(g + 2)/3
Let x(p) be the third derivative of 0*p + 0*p**3 + 0*p**4 + 9*p**2 - 1/150*p**5 + 0 + 1/600*p**6. What is w in x(w) = 0?
0, 2
Let z(x) be the second derivative of x**5/60 + x**4/2 - 34*x. Solve z(m) = 0.
-18, 0
Let g(i) be the second derivative of -i**4/90 + 4*i**2/15 + 85*i. Solve g(r) = 0 for r.
-2, 2
Let d(m) be the second derivative of -m**4/6 + 7*m**3/3 + 44*m**2 - m + 41. Factor d(z).
-2*(z - 11)*(z + 4)
Let q(v) be the first derivative of -35 + 0*v - 1/2*v**4 + 0*v**2 - 8/3*v**3. Let q(d) = 0. What is d?
-4, 0
Let w(y) = 31*y**4 + 135*y**3 - 277*y**2 + 93*y - 6. Let x(a) = 650*a**4 + 2835*a**3 - 5815*a**2 + 1955*a - 125. Let d(i) = -125*w(i) + 6*x(i). Factor d(j).
5*j*(j - 1)*(j + 7)*(5*j - 3)
Find g such that 9*g + 6*g + 38*g + 60*g - 17*g + 2 + 115