0*y.
-3*y**3*(4*y - 1)/5
Let l = 23 - -1. Determine k, given that 9*k**3 - 2*k**2 - 16*k**3 + l + 6*k**3 + 16*k - k**3 = 0.
-2, 3
Let r(j) be the third derivative of j**6/780 + j**5/195 - j**4/12 + 10*j**3/39 + 4*j**2 - 23*j. Factor r(q).
2*(q - 2)*(q - 1)*(q + 5)/13
Find j such that 1/6*j**2 - 41/3*j + 40/3 + 1/6*j**3 = 0.
-10, 1, 8
Let o be (-73)/1095*(-1)/(7*1). Let p(r) be the third derivative of 0*r**5 + 1/3*r**3 - 3*r**2 + 0*r + 0 - 1/6*r**4 + 1/30*r**6 - o*r**7. Factor p(a).
-2*(a - 1)**3*(a + 1)
Suppose 3*o + 5*q + 62 = 0, 0*o - 3*q - 18 = o. Let f = o - -29. Factor -9*l**4 + 7*l**f - 28*l**3 + 52*l**3 + 9*l**2 - 29*l**3 - 2*l.
l*(l - 1)**2*(l + 1)*(7*l - 2)
Let p(y) = y**3 + y**2 + y + 270. Let u be p(0). Solve -64*b**2 + 880*b**4 + 11*b - 402*b**5 + 336*b**3 - 43*b + u*b**5 + 482*b**5 = 0 for b.
-2, -2/5, 0, 2/7
Let x(w) = -15*w**5 + 28*w**4 - 15*w**3 - 2*w**2 + 4*w - 4. Let k(o) = -o**5 + o**4 - o**2 + o - 1. Let g(s) = -4*k(s) + x(s). Determine h, given that g(h) = 0.
0, 2/11, 1
Let d(m) = 48*m**2 + 21*m - 12. Let a(k) = -146*k**2 - 60*k + 34. Let g(y) = -6*a(y) - 17*d(y). Suppose g(r) = 0. Calculate r.
-1/20, 0
Let v(z) = 2*z**2 - z + 2. Let n be v(1). Factor -3*g**n + 17*g**3 - 4*g - 3*g**3 - 3*g**2 - 4*g**3.
g*(g - 1)*(7*g + 4)
Let j(a) be the first derivative of a**6/90 + a**5/6 + 2*a**4/3 - 3*a**3 + 21. Let b(x) be the third derivative of j(x). Determine m, given that b(m) = 0.
-4, -1
Let x = -43 + 50. Let -6*n + 4*n**2 - 3*n**4 + x*n**2 + 0*n**2 - 8*n**2 + 6*n**3 = 0. What is n?
-1, 0, 1, 2
What is z in 67*z + 83*z - 541 - 3*z**2 - 227 - 54*z = 0?
16
Suppose -26/3*o**2 - 10/3*o**3 - 22/3*o - 2 = 0. What is o?
-1, -3/5
Let a(l) = -l**3 + 8*l**2 - 8*l + 39. Let s be a(9). Let x = -110 - s. Factor -3/4*m + 0 + 3/4*m**x - 9/4*m**3 + 9/4*m**2.
3*m*(m - 1)**3/4
Let z(y) be the first derivative of y**4/16 - 44*y**3/3 + 968*y**2 - 798. Determine g so that z(g) = 0.
0, 88
Let r = -44 + 47. Factor o - 124*o**r - 2*o - 126*o**3 + 251*o**3.
o*(o - 1)*(o + 1)
Let i(a) = 16*a + 898. Let o be i(-56). Factor 2/7*g + 1/7*g**3 + 0 + 3/7*g**o.
g*(g + 1)*(g + 2)/7
Let o = 5 - 7. Let h(x) = 81*x**3 - 144*x**2 - 225*x. Let d(v) = 5*v**3 - 9*v**2 - 14*v. Let g(m) = o*h(m) + 33*d(m). Determine i so that g(i) = 0.
-1, 0, 4
Determine i so that 9/2 - 111/8*i**3 + 39/2*i - 45/8*i**5 + 147/8*i**2 - 183/8*i**4 = 0.
-3, -1, -2/3, -2/5, 1
Let w(u) be the second derivative of u**6/195 + 4*u**5/65 + 11*u**4/78 - 8*u**3/39 - 12*u**2/13 - u + 36. Solve w(s) = 0 for s.
-6, -2, -1, 1
Let l(c) be the third derivative of -4*c**7/105 + c**6/6 + 2*c**5/5 - 3*c**4/2 - 53*c**2. Factor l(d).
-4*d*(d - 3)*(d - 1)*(2*d + 3)
Let y(i) be the second derivative of 0 + 0*i**2 + 1/2*i**4 + 1/20*i**5 + 7*i + 5/6*i**3. Factor y(c).
c*(c + 1)*(c + 5)
Let o(i) = 10*i**4 - 36*i**3 + 30*i**2 - 12*i. Let m(g) = -11*g**4 + 36*g**3 - 30*g**2 + 11*g. Let f(h) = -4*m(h) - 3*o(h). Suppose f(x) = 0. Calculate x.
0, 4/7, 1
Suppose 0 = -13*o - 780 + 806. Factor -4/17*h**3 + 0*h - 2/17*h**o + 0.
-2*h**2*(2*h + 1)/17
Let m be (4/12)/((-4)/(-252)). Suppose -3*t - o + 3 = o, 4*t - 3*o = m. Factor -45*b**3 + 47*b**t + b - 3*b**2 + 0*b**2.
b*(b - 1)*(2*b - 1)
Let r(k) be the first derivative of 44*k**5/5 - 911*k**4 + 73256*k**3/3 + 45528*k**2 + 14112*k - 634. Let r(d) = 0. Calculate d.
-1, -2/11, 42
Let b(z) be the second derivative of -z**6/10 + 6*z**5/5 - 19*z**4/4 + 6*z**3 + 25*z. Factor b(v).
-3*v*(v - 4)*(v - 3)*(v - 1)
Let s = -6/271 + 560/813. Factor -4/3*t**3 - 13/3*t**2 - s - 11/3*t.
-(t + 1)*(t + 2)*(4*t + 1)/3
Let c = -10739/4 - -2685. Determine b so that 1/4 - 1/4*b**2 - 1/4*b + c*b**3 = 0.
-1, 1
Let v = 19541 - 19536. Factor -4/9*y**2 + 2/9*y**4 + 2/9*y**v - 4/9*y**3 + 2/9 + 2/9*y.
2*(y - 1)**2*(y + 1)**3/9
Let q be 6/(-4) - (2 - (-21)/(-6)). Let h = -49 + 51. Let q - 1/2*n**4 + 0*n - n**3 - 1/2*n**h = 0. Calculate n.
-1, 0
Suppose 16 = 2*b + 2*b. Suppose b*j - j = -j. What is l in -1/3*l**3 + j - l + 4/3*l**2 = 0?
0, 1, 3
Let j be (-40)/(-100)*(-5)/(-4)*0. Let t be (-4)/(-8) - (-1)/(-4). Factor -1/4*h + 1/4*h**3 + j - 1/4*h**4 + t*h**2.
-h*(h - 1)**2*(h + 1)/4
Let a(g) = g**3 + 11*g**2 + g + 13. Let y be a(-11). Let m be y/(-1 + -3)*-6. Determine r so that -13*r - 5*r**2 - 4*r**m + 13*r + r**2 = 0.
-1, 0
Let q(o) be the third derivative of -o**5/60 + 5*o**4/96 - o**3/24 + 53*o**2. Factor q(x).
-(x - 1)*(4*x - 1)/4
Let m(k) be the second derivative of 363*k**4/16 + 44*k**3 + 32*k**2 + 75*k. Suppose m(x) = 0. Calculate x.
-16/33
Let b be (-235)/(-150) + -1 + 34/(-85). Factor 0 - l - b*l**2.
-l*(l + 6)/6
Let d be 130/(-715) - (-28)/33. Factor -2/3*c**4 + 0 + 2/3*c**3 - d*c + 2/3*c**2.
-2*c*(c - 1)**2*(c + 1)/3
Suppose 2*l = -10*l + 6*l. Let r(s) be the second derivative of -1/7*s**3 - 6*s + l + 0*s**2 - 9/35*s**5 + 1/14*s**6 + 9/28*s**4. Factor r(v).
3*v*(v - 1)**2*(5*v - 2)/7
Suppose -6*p = p - 14. Factor 12 + p*i**4 + 4*i**2 - 4*i - 4*i + 4*i**3 - 4 - 10*i**2.
2*(i - 1)**2*(i + 2)**2
Let r(i) be the first derivative of 3*i**4/8 - 13*i**3/2 + 42*i**2 - 120*i - 245. Let r(v) = 0. What is v?
4, 5
Let s(g) be the third derivative of 5*g**8/336 + 5*g**7/21 + 17*g**6/12 + 3*g**5 - 45*g**4/8 - 45*g**3 + 19*g**2 - 4*g. Factor s(r).
5*(r - 1)*(r + 2)*(r + 3)**3
Let t(s) = -3*s**2 + 30*s - 45. Let p(g) = -2. Let y(l) = -15*p(l) - t(l). Factor y(i).
3*(i - 5)**2
Factor -128*q + 254*q**2 - 977*q**3 + 476*q**3 + 505*q**3.
2*q*(q + 64)*(2*q - 1)
Let x be 16/4*(-7 - 60/(-8)). Let r(g) be the first derivative of -2/21*g**3 + 2 + 0*g**x + 0*g. Find j such that r(j) = 0.
0
Let n = -9605/7 + 384697/280. Let z = -11/8 + n. Factor 2/5*u**2 + z - 4/5*u.
2*(u - 1)**2/5
Let f(j) be the first derivative of -j**6/6 - j**5/5 + 17*j**4/4 + 53*j**3/3 + 28*j**2 + 20*j - 160. Suppose f(k) = 0. What is k?
-2, -1, 5
Let t(c) be the third derivative of c**8/1680 - c**7/525 - 7*c**6/300 - 2*c**5/75 + 13*c**4/120 + c**3/3 + 13*c**2. Determine h so that t(h) = 0.
-2, -1, 1, 5
Let b(k) be the second derivative of 8*k**7/7 - 36*k**6/5 + 27*k**5/20 + 163*k**4/4 + 75*k**3/2 + 27*k**2/2 - 13*k - 4. Suppose b(p) = 0. Calculate p.
-1, -1/4, 3
Let s(a) be the third derivative of -1/175*a**7 - 4*a**2 - 1/40*a**6 + 0 + 1/40*a**4 + 1/10*a**3 + 0*a - 3/100*a**5. Solve s(k) = 0.
-1, 1/2
Suppose 0 = -5*a - 3*n - 24, 4*a = -4*n + 2*n - 18. Let t be 3 - 21/(-14)*(-4)/a. Solve 1/2*r**3 + 0*r + r**t + 1/4*r**2 - 7/4*r**4 + 0 = 0 for r.
-1/4, 0, 1
Let d(z) be the second derivative of 1/6*z**6 - 6*z + 5/3*z**3 + 0*z**5 - 5/4*z**4 - 1 + 0*z**2. Factor d(f).
5*f*(f - 1)**2*(f + 2)
Suppose -12 = -2*i - 4*f, -4*i + 2*i - 3*f + 10 = 0. Let s be 7/i + -1 - 12/24. What is o in s*o**2 + 5/2*o + 1 + 1/2*o**3 = 0?
-2, -1
Factor 20/17*y**2 - 46/17*y - 2/17*y**3 + 28/17.
-2*(y - 7)*(y - 2)*(y - 1)/17
Let i(k) = 13*k**2 - 23*k + 31. Let s(t) = -6*t**2 + 12*t - 15. Let h(r) = 2*r**2 - 31*r - 13. Let b be h(16). Let u(g) = b*i(g) + 7*s(g). Factor u(x).
-3*(x - 4)*(x - 1)
Let x(n) be the first derivative of -2*n**3/51 - 41*n**2/17 + 84*n/17 + 26. What is b in x(b) = 0?
-42, 1
Let k = 2474/3837 + 28/1279. What is i in 16 + 4/3*i**2 + 40/3*i - k*i**3 = 0?
-2, 6
Determine z, given that -1/4*z**2 - 27/4*z + 7 = 0.
-28, 1
Let h(i) = i**4 - i**3 + i**2 + i + 1. Let z(f) = f**5 + 3*f**3 - 2*f**2 - 2*f - 2. Suppose -16*o + 21*o - 15 = 0. Let w(u) = o*z(u) + 6*h(u). Factor w(y).
3*y**3*(y + 1)**2
Let r(z) be the third derivative of -z**8/840 + z**7/105 - z**6/150 - 4*z**5/75 - 62*z**2. Solve r(x) = 0 for x.
-1, 0, 2, 4
Suppose -8*c + 17 + 23 = 0. Suppose 4*b = 4*h + 20, 3*b - 3*h - 19 = -b. What is a in 0*a**2 - 1/4*a**b + 1/4*a**c + 0 + 0*a + 0*a**3 = 0?
0, 1
Let g(z) be the third derivative of -z**8/168 + z**7/21 - z**6/10 - z**5/15 + 7*z**4/12 - z**3 - z**2 + 3. Factor g(l).
-2*(l - 3)*(l - 1)**3*(l + 1)
Let l(s) be the second derivative of -s**7/252 - 7*s**6/36 - 33*s**5/10 - 18*s**4 + 48*s**3 - 2*s - 80. Suppose l(g) = 0. Calculate g.
-12, 0, 1
Let l be -9*(30/(-42) - (-4)/(-14)). Suppose 17 - l = 4*j. Factor 0*p + 2/9*p**4 - 4/9*p**3 + 2/9*p**j + 0.
2*p**2*(p - 1)**2/9
Let j(y) be the first derivative of 2 - 22*y**2 - 20*y - 8/3*y**3. Factor j(q).
-4*(q + 5)*(2*q + 1)
Factor 0 - 605/3*z - 830/3*z**3 + 440*z**2 - 5/3*z**5 + 40*z**4.
-5*z*(z - 11)**2*(z - 1