(t - 3)*(t - 1)
Factor 2/3*c**4 + 0*c + 0 + 2/3*c**3 - 4*c**2.
2*c**2*(c - 2)*(c + 3)/3
Let p be 70576/1386 - (0 - (-8)/7). Determine k, given that 119/9*k**2 + p*k**5 - 4/9 + 4/9*k - 92/9*k**3 - 880/9*k**4 = 0.
-2/7, -1/4, 1/4, 2
Factor -2501*a + 261*a**2 - 4*a**3 + 1372000 + 295*a**2 - 56299*a + 284*a**2.
-4*(a - 70)**3
Let f(g) be the third derivative of -g**7/42 - 61*g**6/24 + 391*g**5/12 - 3655*g**4/24 + 335*g**3 - 466*g**2. Solve f(z) = 0.
-67, 1, 2, 3
Let g(b) be the third derivative of 0*b + 0*b**3 - 9*b**2 - 3/40*b**6 + 1/5*b**5 + 1/112*b**8 - 1/35*b**7 + 1/2*b**4 + 0. What is n in g(n) = 0?
-1, 0, 2
Find n, given that 639*n**2 - 8750 + 25*n**3 - 1125*n + 40*n**3 - 164*n**2 + 56*n**3 - 5*n**4 - 76*n**3 = 0.
-5, 5, 14
Let i = -5747 - -9077. Let -3326*l + i*l - 2*l**2 + 38 + 32 = 0. Calculate l.
-5, 7
Suppose 0 = -3*v - 1326 + 1332. Suppose 310 = -v*t + 320. Suppose -8/7 - 8/7*h**2 - 20/7*h + 4/7*h**t + 16/7*h**3 + 16/7*h**4 = 0. Calculate h.
-2, -1, 1
Factor 0*z - 216*z**2 - 1/2*z**5 + 0 - 35/2*z**4 - 116*z**3.
-z**2*(z + 4)**2*(z + 27)/2
Let h be ((12/15)/((-2)/5))/(132/(-264)). Find f, given that -8/9*f**2 + h + 2/9*f**3 - 2/3*f = 0.
-2, 3
Let m(k) be the first derivative of -120 + 3/2*k**4 - 1/2*k**3 - 9/4*k**2 + 0*k. Factor m(i).
3*i*(i - 1)*(4*i + 3)/2
Let p(b) = 2*b**2 - 294*b - 91. Let v(u) = -3*u**2 + 463*u + 138. Let t(m) = 8*p(m) + 5*v(m). Let t(c) = 0. Calculate c.
-1, 38
Let t(a) = -a**3 - 3*a**2 + 2*a + 9. Let h be t(-3). Suppose 0*i - 18 = -i - j, h*i - 52 = -2*j. Factor 25*w**2 - 13*w**2 + i + 20*w - 8*w**2.
4*(w + 1)*(w + 4)
Let j(t) be the third derivative of t**7/90 + 13*t**6/240 + 19*t**5/360 - t**4/24 + 481*t**2. Factor j(f).
f*(f + 1)*(f + 2)*(14*f - 3)/6
Let r be 4868/(-6)*35/(1260/(-54)). Let z = 1219 - r. Factor 0 - 2*a - 2/3*a**z.
-2*a*(a + 3)/3
Let o(k) be the third derivative of 0 + 1/30*k**5 + 0*k - 4*k**3 - 11/12*k**4 + 39*k**2. Factor o(s).
2*(s - 12)*(s + 1)
Find x, given that 2/5*x**5 - 107/5*x**3 + 21*x + 41/5*x**2 - 10 + 9/5*x**4 = 0.
-10, -1, 1/2, 1, 5
Let b be (-15)/77*189/(-81). Let t(a) be the first derivative of -1/22*a**4 - b*a**2 - 8/33*a**3 - 4 - 4/11*a. Factor t(s).
-2*(s + 1)**2*(s + 2)/11
Suppose g = 2*b - 11, 5*b - 3*g + 28 = 56. Let s(w) be the third derivative of 5/6*w**4 - 20/3*w**3 + 0*w - 1/24*w**6 + 0 + 34*w**2 + 1/6*w**b. Factor s(x).
-5*(x - 2)**2*(x + 2)
Let f(d) be the first derivative of 10 + 7*d**3 + 1/5*d**5 - 9/4*d**4 + 6*d - 19/2*d**2. Factor f(c).
(c - 6)*(c - 1)**3
Let l(x) be the third derivative of -x**7/420 + x**6/40 + 9*x**5/40 - 55*x**4/12 + 25*x**3 - x**2 + 2095*x. Let l(m) = 0. What is m?
-6, 2, 5
Let f(s) be the third derivative of 0*s - 11/32*s**4 + 11/160*s**6 + 0 + 3/80*s**5 - 5/8*s**3 + 97*s**2 + 1/140*s**7. Solve f(n) = 0.
-5, -1, -1/2, 1
Let a(m) = 4*m**4 + 8*m**3 + 70*m**2 + 6*m + 6. Let k(s) = s**4 + s**2 + s + 1. Let y(o) = a(o) - 6*k(o). What is q in y(q) = 0?
-4, 0, 8
Let r(o) be the first derivative of -o**6/6 - o**5 - o**4/2 + 14*o**3/3 + 3*o**2/2 - 9*o + 64. What is u in r(u) = 0?
-3, -1, 1
Suppose 168 = 61*c - 57*c. Solve 117*r**2 - 37*r**2 - c*r**2 - 35*r**2 + 36*r = 0 for r.
-12, 0
Let v = -43 - -98. Let r be 11/(v/80)*(-9)/(-4). Factor -9 + 36*c**3 + 8 - 9*c + r*c**2 - 7*c - 15.
4*(c + 1)*(3*c - 2)*(3*c + 2)
Let t be 20/(3200/(-16))*-30. Let w(m) be the third derivative of 0*m + 1/18*m**5 + 24*m**2 + 1/27*m**t + 0 + 1/12*m**4 + 7/540*m**6. Factor w(u).
2*(u + 1)**2*(7*u + 1)/9
Let n(w) be the third derivative of -w**5/3 - 881*w**4/6 - 352*w**3/3 - 870*w**2. Solve n(f) = 0 for f.
-176, -1/5
Let i = -529 - -579. Factor -22543*j + 22493*j + 6*j**2 - 5*j**4 - j**2 + i*j**3.
-5*j*(j - 10)*(j - 1)*(j + 1)
Let w be -8 + 2 - (-5 - 1). Suppose 5*t - 9 = z, w*z - 5 = -5*z. Find b, given that 8/9 - 2/3*b**t - 2/9*b**4 + 10/9*b - 10/9*b**3 = 0.
-4, -1, 1
Let a = 53438/3 + -17810. Let y(p) be the first derivative of 0*p - p**4 - 31 + 6*p**2 + a*p**3. Let y(j) = 0. Calculate j.
-1, 0, 3
Suppose 0 = 8*q - 3 - 21. Suppose 0*j = -3*n - 4*j + 4, -5*n = q*j - 14. Solve -14 - 12*b**2 + 36*b**2 - n*b**3 + 46 - 48*b = 0.
2
Suppose 0 = 65*l - 32 + 32. Let v = -122 - -125. Find r, given that -2/3*r**2 + l - 4/9*r - 2/9*r**v = 0.
-2, -1, 0
Let t = 15608 + -15602. Determine d so that -2/3*d**2 - t*d - 16/3 = 0.
-8, -1
Let b(n) be the second derivative of n**7/252 - 7*n**6/144 + 49*n**4/4 + 3*n - 37. Let u(w) be the third derivative of b(w). Find x such that u(x) = 0.
0, 7/2
Suppose 134/13*r**4 - 42/13*r**3 - 134/13*r**2 + 0 + 4*r - 10/13*r**5 = 0. What is r?
-1, 0, 2/5, 1, 13
Let y(f) be the first derivative of f**6/18 + 19*f**5/5 + 14*f**4/3 + 1916. Find z, given that y(z) = 0.
-56, -1, 0
Let d(i) be the third derivative of i**5/60 + 161*i**4/4 + 77763*i**3/2 - 1779*i**2. Let d(m) = 0. Calculate m.
-483
Factor -360/11 + 3232/11*v - 7218/11*v**2 - 162/11*v**3.
-2*(v + 45)*(9*v - 2)**2/11
Let c(t) be the first derivative of -14/15*t**3 - 1/15*t**6 + 1/10*t**4 + 6/25*t**5 + 8/5*t + 0*t**2 + 30. Find y such that c(y) = 0.
-1, 1, 2
Factor 25921/4 - 8*z**3 + 1/4*z**4 + 1288*z - 33/2*z**2.
(z - 23)**2*(z + 7)**2/4
Let j(a) = 5*a**4 + 17*a**3 - 15*a**2 - 65*a + 54. Let k(c) = 5*c**4 + 15*c**3 - 15*c**2 - 65*c + 55. Let z(s) = 5*j(s) - 4*k(s). Find l such that z(l) = 0.
-5, -2, 1
Let n = 102 - 98. Let -156*j + 22 + 48*j**2 + 24*j + 122 - 8*j**2 - n*j**3 = 0. What is j?
3, 4
Let j(x) be the second derivative of x**4/72 - 7*x**3/18 + 13*x**2/12 - 2*x + 633. Factor j(s).
(s - 13)*(s - 1)/6
Let z(c) be the first derivative of 2*c**3/9 + 2*c**2 + 10*c/3 + 651. Find b such that z(b) = 0.
-5, -1
Let y(w) be the second derivative of 1/40*w**6 - 70*w - 1/12*w**3 + 0 + 1/8*w**2 - 1/12*w**4 + 1/40*w**5. Suppose y(u) = 0. What is u?
-1, 1/3, 1
Suppose -4*c - 2*b + 12 = 0, -20 - 4 = -5*c - 4*b. Let w(r) be the third derivative of 0 + 0*r**5 + 0*r**3 + 0*r**4 - 1/660*r**6 - 27*r**2 + c*r. Factor w(a).
-2*a**3/11
Let y(v) = 6*v - 9. Let s = 5 - 1. Let n be y(s). Factor -7*a**2 - n*a**2 - 23*a**4 - 4*a**5 - 6*a**2 + 3 - 42*a**3 - 2*a.
-(a + 1)**3*(a + 3)*(4*a - 1)
Let j(p) be the first derivative of p**4/16 + 2*p**3 + 162*p + 62. Let d(w) be the first derivative of j(w). Factor d(o).
3*o*(o + 16)/4
Let o(x) be the third derivative of -x**5/40 + 315*x**4/16 - 157*x**3/2 - 119*x**2 + 3*x - 1. Factor o(w).
-3*(w - 314)*(w - 1)/2
Suppose -111*c + 113*c - 6 = g, 5*g - 5*c + 5 = 0. Factor 6/5*f**3 + 0*f + 0 + 6/5*f**g + 0*f**2.
6*f**3*(f + 1)/5
Let j = 25490 + -25483. Let -98/3 + 1/3*i**3 + j*i + 4*i**2 = 0. Calculate i.
-7, 2
Let v(f) be the first derivative of -2*f**3/27 - 403*f**2/9 + 808*f/9 + 14653. Factor v(m).
-2*(m - 1)*(m + 404)/9
Let p(m) be the second derivative of m**4/60 + 2*m**3/15 - 9*m**2/2 - 3047*m. Suppose p(t) = 0. Calculate t.
-9, 5
Let u be (4/(-3))/((-20)/30). Suppose -6*a = -u*m - 4*a + 84, 4*a = -3*m + 147. Factor -m*s**3 + s**2 + 46*s**3 + s**2.
s**2*(s + 2)
Let t be 413/5 + (21 + 0)*(-21)/63. Find p such that 6*p**4 - 162/5*p**3 + 0 + t*p**2 - 2/5*p**5 - 324/5*p = 0.
0, 3, 6
Let m = 6527 + -6524. Let r(t) = 3*t - 4. Let z be r(3). Find y such that -997*y**z - 5*y - 10*y**4 + 982*y**5 + 6*y**2 + 20*y**m + 4*y**2 = 0.
-1, 0, 1/3, 1
Let p = -578477/3 + 192826. Factor -14/3*q - 8/3 - 7/3*q**2 - p*q**3.
-(q + 1)*(q + 2)*(q + 4)/3
Suppose -2*z + 8 = 6, -2*z - 138 = -5*v. Let r(s) be the first derivative of 5/4*s**4 + 0*s**2 + 4/3*s**3 + 1/5*s**5 - v + 0*s. Solve r(o) = 0.
-4, -1, 0
Suppose 12*w - 7*w - 25 = 3*u, 5*w = 4*u + 25. Suppose 5*m = -4*d + 15, -6*m + w*d + 15 = -m. Find l, given that -110*l**3 - l**2 + 109*l**3 + m*l**2 = 0.
0, 2
Let o be 2*12/42*7. Let q(k) = k**4 - 2*k**3 - k**2 - 2*k + 1. Let s(h) = -h**4 + 12*h**3 + 16*h**2 - 88*h + 4. Let v(l) = o*q(l) - s(l). Solve v(u) = 0 for u.
-2, 0, 2, 4
Let s(r) = r**3 + r**2 + 2*r + 5. Let b be s(0). Suppose 0 = -4*a - b*a + 18. Find o, given that -8*o**3 + 10*o**3 + 0*o**3 + a*o**2 = 0.
-1, 0
Suppose 62803*y = 62850*y. What is b in y*b + 20/3*b**2 + 26/3*b**3 - 2/3*b**5 + 0 + 4/3*b**4 = 0?
-2, -1, 0, 5
Let -36 + 25 + 53*c**2 - 54*c**2 - 45*c - 33 = 0. What is c?
-44, -1
Let m(k) = k**2 + 832*k - 83990. Let s be m(91). Determine a so that 123/2*a**s + 30*a**2 + 9/2*a + 36*a**4 + 0 = 0.
-1, -3/8, -1/3, 0
Let v(p) = -19*p + 2