 of 25/8*r**2 - 35 + 5/2*r - 35/12*r**3. Factor u(q).
-5*(q - 1)*(7*q + 2)/4
Factor -3/2*t**3 + 6*t + 1/2*t**4 - t**2 - 4.
(t - 2)**2*(t - 1)*(t + 2)/2
Let s be (-126)/(-24) - (-1)/(-4). Let 15*w + 41*w**3 - 43*w + 21*w**4 + 12 - 24*w**2 - 9*w**4 - 28*w**s + 15*w**3 = 0. What is w?
-1, 3/7, 1
Let l(o) be the third derivative of 0*o**3 - 3/16*o**8 - o**4 - 83/70*o**7 - 53/20*o**6 + 2*o**2 + 4 - 13/5*o**5 + 0*o. Let l(f) = 0. What is f?
-2, -1, -2/3, -2/7, 0
Suppose -176*d + 92*d = 0. Suppose -1/4*j**2 + d*j + 0 = 0. What is j?
0
Suppose 0 = 2*g + 2*g - 3*t + 40, 3*t = -g - 25. Let p = -9 - g. Solve -4*u**4 + 0*u**2 - 2*u**2 + 0*u**p - 5*u**3 - u**5 = 0.
-2, -1, 0
Solve 710*b - 670*b**3 - 815*b**2 + 2034 + 2*b**4 - 2154 - 107*b**4 = 0 for b.
-4, -3, 2/7, 1/3
Let u(r) = -40*r**4 + 188*r**3 + 20*r**2 - 300*r + 204. Let i(d) = -8*d**4 + 38*d**3 + 4*d**2 - 60*d + 41. Let v(p) = 24*i(p) - 5*u(p). Factor v(c).
4*(c - 3)*(c - 1)**2*(2*c + 3)
Let w(g) = 22*g. Let h be w(1). Let t be 48/h + 22/(-121). What is x in x**t + 2*x**3 - 1 - x**3 + x - 2*x**3 = 0?
-1, 1
Let n be 10/5 - 10 - (-19 - -6). Solve -1/3 + 1/3*o**n - 1/2*o + 5/6*o**2 + 3/2*o**4 + 13/6*o**3 = 0 for o.
-2, -1, 1/2
Let v(d) = 12*d**2 + 96*d + 188. Let p(y) = 10*y**2 + 97*y + 187. Let m(n) = -4*p(n) + 3*v(n). Suppose m(g) = 0. What is g?
-23, -2
Let w(h) = h**3 + 6*h**2 - 16*h - 7. Let r be w(-7). Let c = 58 - r. Factor 0 - 2/7*m**c + 0*m.
-2*m**2/7
Let g be ((-10)/(-4))/((-45)/216*-6). Suppose -16/5*c**3 + 16/5*c + 4/5*c**g - 4/5 = 0. Calculate c.
-1, 1/4, 1
Suppose -6*c = -3*c + 33. Let v(g) = g**2 + 11*g + 2. Let s be v(c). Determine n so that 2*n**2 + 5*n + n**3 + 0*n**2 + 2 + s*n**2 = 0.
-2, -1
Let i(r) = r**2 - r + 2. Let u be i(6). Let j = -30 + u. Factor 1/5*d**j - 2/5*d + 1/5.
(d - 1)**2/5
Let l = -28 + 22. Let d be 8/l*(0 + -3). Determine a so that 0*a + 8*a**4 + 0*a + 99*a**5 - d*a**3 - 87*a**5 = 0.
-1, 0, 1/3
Determine f, given that -1/5*f**2 + 44/5*f - 484/5 = 0.
22
Let b(v) be the first derivative of -v**4/6 + 164*v**3/9 - 1760*v**2/3 + 6400*v/3 + 696. Factor b(f).
-2*(f - 40)**2*(f - 2)/3
Let s be -3 + 19/228 + (-177)/(-36). Let -4/7*y**s + 4/7*y**5 + 0 + 12/7*y**3 + 0*y - 12/7*y**4 = 0. What is y?
0, 1
Factor 22 + 46 - 68 + 2*a**4 - 8*a**3.
2*a**3*(a - 4)
Let g(i) = 15*i**5 - 81*i**4 + 134*i**3 - 79*i**2 + 16*i. Let b(w) = -w**5 - w**4 + 2*w**3 + w**2. Let v(d) = b(d) - g(d). Factor v(y).
-4*y*(y - 2)**2*(2*y - 1)**2
Let b(c) = -c**3 + 3*c**2 + 9*c - 5. Let g(w) = -4*w**2 - 8*w + 4. Suppose -13 = u - 10. Let t(f) = u*g(f) - 4*b(f). Suppose t(z) = 0. What is z?
-2, 1
Solve 32*b**3 - 2*b**4 + 17 - 47*b**2 - 40 - 45*b**2 - 288*b - 139 = 0.
-1, 9
Let q(d) = -2*d**3 + 21*d**2 + 9*d + 25. Let z be q(11). Let r be (z/(-4))/(15/(-8)). Find h such that -r*h**2 + 2*h - 8/5 = 0.
1, 4
Suppose 2*j + 5*h - 19 = 0, 2*h + 105 = 111. Suppose 1/6*q**3 + 0 - 1/6*q**5 + 0*q + 1/6*q**4 - 1/6*q**j = 0. Calculate q.
-1, 0, 1
Let d(y) be the first derivative of 8*y**3/3 + 60*y**2 + 450*y + 470. Factor d(l).
2*(2*l + 15)**2
Find x such that -27/4*x**3 + 33/4 - 201/4*x + 315/4*x**2 = 0.
1/3, 11
Factor 0 - 3/4*q + 1/4*q**4 - 5/4*q**3 + 7/4*q**2.
q*(q - 3)*(q - 1)**2/4
Let g(d) be the third derivative of 1/20*d**5 + 0*d**3 - 1/4*d**4 + 2*d**2 + 0 + 0*d. Suppose g(j) = 0. Calculate j.
0, 2
Let p(j) be the third derivative of 1/36*j**4 + 0*j**3 + 0*j + 0 + 26*j**2 + 0*j**5 - 1/180*j**6. Factor p(h).
-2*h*(h - 1)*(h + 1)/3
Let r be 4485/(-105) + -2*(-2)/(-14). Let x = r + 43. Determine i, given that x*i - 2/3*i**4 - 2/3*i**3 + 0*i**2 + 0 = 0.
-1, 0
Suppose -31 = -3*d + 5*a, -d = 4*d + 5*a + 15. Let r(l) be the first derivative of 16*l + 4/3*l**3 + 8*l**d + 6. Factor r(t).
4*(t + 2)**2
Let h be 6/45 - (-3)/(90/(-244)). Let k be (-2)/8*(h - 4). Factor 1/5 + 1/5*w**k - 1/5*w - 1/5*w**2.
(w - 1)**2*(w + 1)/5
Let a = 2618 - 2616. Factor 0 - 2/5*t**2 - a*t.
-2*t*(t + 5)/5
Let o(y) = -4*y**5 + 6*y**4 - 18*y**3 + 10*y**2. Let m(g) = -7*g**5 + 14*g**4 - 37*g**3 + 20*g**2. Let p(z) = 6*m(z) - 10*o(z). Let p(b) = 0. What is b?
0, 1, 10
Let s(t) be the first derivative of 1/12*t**3 + 3*t - 1/18*t**4 - 1 + 0*t**2. Let x(p) be the first derivative of s(p). Find c such that x(c) = 0.
0, 3/4
Suppose -11*o - n = -9*o, 0 = -4*n - 16. Let y(s) be the first derivative of s**3 + o + 9/2*s**2 + 6*s. Factor y(v).
3*(v + 1)*(v + 2)
Let u(p) be the second derivative of p**5/10 - p**4 - 7*p**3/3 - 264*p. Factor u(w).
2*w*(w - 7)*(w + 1)
Let a(y) = -4*y**4 - 6*y**3 + 8*y + 2. Let b(r) = r**4 - r**2 - r + 1. Suppose 3*l - 13 = -1. Let d(i) = l*b(i) + 2*a(i). Factor d(j).
-4*(j - 1)*(j + 1)**2*(j + 2)
Factor -4/7*o + 16/7 - 2/7*o**2.
-2*(o - 2)*(o + 4)/7
Let g(m) = -15*m**2 + 95*m - 210. Let y(d) = -8*d**2 + 47*d - 105. Let j(k) = -3*g(k) + 5*y(k). Factor j(v).
5*(v - 7)*(v - 3)
Factor 18*x**3 - 27/5*x**4 + 99/5*x - 138/5*x**2 - 27/5 + 3/5*x**5.
3*(x - 3)**2*(x - 1)**3/5
Let z(d) be the third derivative of 0 + 1/2016*d**8 + 1/144*d**4 + 0*d**7 + 0*d**3 + 0*d - 1/360*d**6 - 13*d**2 + 0*d**5. Factor z(l).
l*(l - 1)**2*(l + 1)**2/6
Let l(r) be the third derivative of 0 - 9/40*r**5 + 0*r**3 + 3/80*r**6 + 0*r + 9/16*r**4 - 1/420*r**7 - 5*r**2. Determine q, given that l(q) = 0.
0, 3
Factor 29*n**5 + 212*n + 232*n**3 - 52*n**5 + 27*n**5 - 23*n**4 - 45*n**4 - 328*n**2 - 52.
4*(n - 13)*(n - 1)**4
Let w = 14/83 + 124/249. Find b such that 2/3*b + 0 + 2/3*b**2 - w*b**3 - 2/3*b**4 = 0.
-1, 0, 1
Suppose -4*z + 3*h = -62 + 2, 4*z + 2*h - 80 = 0. Solve 20*v + v**2 - 40*v + z*v = 0.
0, 2
Suppose 15*x + r = 11*x + 10, -4*r - 14 = -2*x. Solve -1/2*z**4 + 3/2*z - 7/2*z**2 + 5/2*z**x + 0 = 0 for z.
0, 1, 3
Let i(c) be the second derivative of c**5/100 - c**4/15 - c**3/10 + 9*c**2/5 - 3*c - 45. Factor i(f).
(f - 3)**2*(f + 2)/5
Suppose -19*d + 15*d + 8 = 0. Factor -7100*m**2 + 7100*m**d - 32*m - m**4 + 6*m**3.
-m*(m - 4)**2*(m + 2)
Let p be (-1)/(-4) + (5157/1884 - 3). Let u = 952/785 + p. Let 22/5*t**2 - 4/5 - 22/5*t**3 + u*t**4 - 2/5*t = 0. What is t?
-1/3, 1, 2
Let c(l) be the third derivative of -l**7/420 + l**5/15 - 8*l**3/3 + 6*l**2. Let g(i) be the first derivative of c(i). Factor g(z).
-2*z*(z - 2)*(z + 2)
Let t be (-586)/(-7911) - (-266)/54. Factor 2/5*h - 2/5*h**4 - 2/5 + 4/5*h**2 + 2/5*h**t - 4/5*h**3.
2*(h - 1)**3*(h + 1)**2/5
Let q(h) be the first derivative of -21/2*h**2 + 6*h - 3/2*h**4 + 8*h**3 - 6/5*h**5 + 1/2*h**6 - 4. Find p, given that q(p) = 0.
-2, 1
Let q be ((-1)/2 + 2)/(39/104). Suppose -q*l + 46 - 38 = 0. Solve 4/5 - 2/5*s - 2/5*s**l = 0 for s.
-2, 1
Let n(q) = -3*q**4 + 3*q**3 - 13*q**2 - 22*q + 2. Let s(f) = 2*f**4 - 2*f**3 + 6*f**2 + 11*f - 2. Let w(c) = -3*n(c) - 5*s(c). Find l, given that w(l) = 0.
-1, 4
Let v(h) = -h**3 - 13*h**2 + 28*h - 28. Let c be v(-15). Suppose -x + 3*m + 5 = -13, -c*x - 9 = 3*m. Find q such that 0 + 2/17*q**x + 2/17*q - 4/17*q**2 = 0.
0, 1
Suppose -4*d + 2*v - 5*v + 2 = 0, -4*d = 4*v. Let o = 264 + -261. What is g in 0*g**o + 8/7*g**d + 4/7*g - 8/7*g**4 - 4/7*g**5 + 0 = 0?
-1, 0, 1
Determine q so that 86/23*q**2 - 8/23 + 30/23*q**3 + 48/23*q = 0.
-2, -1, 2/15
Let p = 485/18 + -53/2. Determine n so that 0 + 4/9*n - 2/3*n**2 - p*n**3 = 0.
-2, 0, 1/2
Let n(z) be the second derivative of -z**7/168 - z**6/12 + 3*z**5/10 - z**4/24 - 23*z**3/24 + 3*z**2/2 + 5*z - 1. Factor n(m).
-(m - 1)**3*(m + 1)*(m + 12)/4
Let v(c) be the third derivative of -c**5/15 - 2*c**4/3 - 8*c**3/3 - c**2 - 47*c. Find q such that v(q) = 0.
-2
Factor 1/2*c**3 - 73/2*c**2 + 608*c + 2166.
(c - 38)**2*(c + 3)/2
Suppose -8*b - 18 = -14*b. Factor -6*i**b + 1238*i**2 - 1235*i**2 - i + 3*i + 7*i.
-3*i*(i + 1)*(2*i - 3)
Let w(d) be the third derivative of -d**7/735 + d**6/210 + d**5/42 - d**4/14 - 76*d**2 + 2*d. Factor w(l).
-2*l*(l - 3)*(l - 1)*(l + 2)/7
Let n(x) be the second derivative of x + 0*x**2 + 0*x**3 - 1/60*x**4 + 0. Factor n(u).
-u**2/5
Let x = 7 + -5. What is o in -5*o**x + 13 + 28 + 5*o - 31 = 0?
-1, 2
Let 117 - 20*y - 65*y**2 + 95*y**3 + 119 - 216 - 30*y**4 = 0. Calculate y.
-1/2, 2/3, 1, 2
Let y(c) be the third derivative of 5*c**8/588 + 44*c**7/735 + 11*c**6/70 + 4*c**5/21 + 2*c**4/21 - 288*c**2. Find j such that y(j) = 0.
-2, -1, -2/5, 0
Let r(v) be the second derivative of -v**4/10 + 6*v**3/5 - 3*v**2 + 8*v - 7. Sup