uppose -5*a**4 + 11*a - 3 + 5*a**5 - 2*a - 2 + 10*a**2 - b*a**3 - 4*a = 0. What is a?
-1, 1
Let z(r) be the second derivative of -17/8*r**4 + 9/10*r**5 - 119*r + 0 - 9/4*r**2 + 1/56*r**7 + 23/8*r**3 - 1/5*r**6. Suppose z(q) = 0. What is q?
1, 2, 3
Let i = 76853 - 307411/4. Let v be (0 - (0 - 1))/8. Determine x so that 1/8*x - v*x**3 + 1/8*x**4 - 3/8*x**2 + i = 0.
-1, 1, 2
Let t(k) be the third derivative of 575/12*k**4 + 0 + 250/3*k**3 + 5/48*k**6 - 49/12*k**5 - 22*k**2 + 0*k. Factor t(l).
5*(l - 10)**2*(5*l + 2)/2
Let a(f) = 1442*f**2 - 6*f + 2. Let s be a(3). Determine k, given that -12962*k - 3*k**4 + 9*k**3 + 6*k**4 + s*k = 0.
-3, 0
Let g = -5236997/120 - -43643. Let w = g - 1/40. Find k such that -w - 2/3*k**2 + 2*k = 0.
1, 2
Let d(w) be the third derivative of -w**5/120 - w**4 - 45*w**3/4 - 931*w**2. Factor d(l).
-(l + 3)*(l + 45)/2
Let t(v) be the first derivative of -2*v**5/35 - v**4/2 - 2*v**3/3 + 15*v**2/7 - 2563. Determine p, given that t(p) = 0.
-5, -3, 0, 1
Determine x so that 24*x**3 - 11*x**3 - x**3 - 2*x**4 + 33*x**2 - 5*x**2 + 80*x + 44*x**2 = 0.
-2, 0, 10
Let 1/4*u**2 - 11/2*u + 28 = 0. What is u?
8, 14
Let y(g) be the second derivative of -g**5/40 + 289*g**4/12 - 83521*g**3/12 - 773*g + 2. Find d such that y(d) = 0.
0, 289
Let c be ((-1)/(-8))/((-21)/28) + (-520)/(-240). Let y(f) be the first derivative of -c - 4/21*f**3 - 1/7*f**2 + 4/7*f + 1/14*f**4. Factor y(i).
2*(i - 2)*(i - 1)*(i + 1)/7
Suppose -443*v**2 - 4*v**3 + 340*v**2 + 167*v**2 - 64 + 4*v = 0. What is v?
-1, 1, 16
Factor -44/3 - 43/3*a + 1/3*a**2.
(a - 44)*(a + 1)/3
Let p be ((-432)/120)/((-18)/20). Let b(z) be the third derivative of 0*z - 1/4*z**p + 1/40*z**5 + 11*z**2 + 3/4*z**3 + 0. Factor b(u).
3*(u - 3)*(u - 1)/2
Let o(d) be the first derivative of -2*d**5/35 + 6*d**4/7 - 256*d**2/7 + 1810. Factor o(a).
-2*a*(a - 8)**2*(a + 4)/7
Let s(a) be the second derivative of -a**4/66 - 181*a**3/33 + a - 614. Factor s(z).
-2*z*(z + 181)/11
Let o = 368 + -422. Let x be (-228)/o - (4/4 + 3). Factor x*r**4 + 0 + 4/9*r**3 + 0*r + 0*r**2.
2*r**3*(r + 2)/9
Let v = -386/5 + 79. Suppose -w + 25*m - 29*m = -23, -4 = -3*w + m. Determine l, given that 18/5*l**w + 3/5*l**4 + v + 36/5*l**2 + 6*l = 0.
-3, -1
Let l = 659015/292892 - 2/73223. Find v such that 5/4*v**3 - l*v**5 - 3*v**2 + 0 + 3*v**4 + v = 0.
-1, 0, 2/3, 1
Solve 22/7*d**2 + 10/7*d + 2/7*d**4 + 2*d**3 + 0 = 0 for d.
-5, -1, 0
Let o(t) be the second derivative of 0*t**3 - 1 + 0*t**2 + 2/39*t**4 + 1/10*t**5 - 18*t. Factor o(w).
2*w**2*(13*w + 4)/13
Let a(z) = -11*z + 1 - 3 + 12*z + 4. Let x(w) = w**2 + 8. Suppose 0 = -6*i + 2*i + 3*c + 10, 2*i = -c. Let h(o) = i*x(o) - 3*a(o). Find l such that h(l) = 0.
1, 2
Let j be 46/(-19872)*27*(-16 - (-1 + 3)). Factor 7/8*x**4 + 9/8*x - 5/8*x**2 - j*x**3 - 1/4.
(x - 1)**2*(x + 1)*(7*x - 2)/8
Let p(u) = 2 + 9 + 35*u - 17*u - 19*u. Let i be p(9). Suppose 5*s**3 - 6*s**i + 16*s**2 + 3*s + 2*s - 20*s**2 = 0. Calculate s.
0, 1
Let l(w) be the first derivative of -w**5/25 - 73*w**4/10 + 59*w**3/3 - 74*w**2/5 + 1370. Factor l(m).
-m*(m - 1)**2*(m + 148)/5
Let d = -7297439/6 - -1216240. Determine x, given that d*x**3 - 1/2*x**2 - 5/3*x + 4 = 0.
-3, 2, 4
Let y be 34*(-16 + 13 - 11/(-2)). Suppose -24*p - 3*p**4 + 9*p**2 + 6*p**3 + y + 105 - 178 = 0. Calculate p.
-2, 1, 2
Suppose 21/2*b**5 + 3279/2*b**2 + 120 + 2841/2*b**3 + 909/2*b**4 + 783*b = 0. What is b?
-40, -1, -2/7
Let y be -2 - 48/(-26) - 16/234 - 3388/(-990). Factor 2*g**2 - y + 6/5*g.
2*(g - 1)*(5*g + 8)/5
Let s(w) be the second derivative of 13/5*w**5 - 36*w - 8/5*w**6 + 11/3*w**4 + 2*w**2 - 26/3*w**3 + 0. Find o such that s(o) = 0.
-1, 1/12, 1
Let k(d) = 6*d**2 - 57*d - 43. Let n be k(10). Let c be (7 + n)/(15*3/(-6)). Let 2/5*i**5 + 2/5*i - 2/5 + c*i**2 - 4/5*i**3 - 2/5*i**4 = 0. Calculate i.
-1, 1
Let k(n) be the second derivative of -n**4/72 - 5*n**3/9 + 616*n. Solve k(g) = 0.
-20, 0
Suppose 5 = 65*r - 70*r. Let w(v) = -5*v - 3. Let x be w(r). Factor -3/2*g**x + 3/2*g + 0.
-3*g*(g - 1)/2
Let y(o) be the second derivative of 1/5*o**3 - 6/5*o**2 - 71*o - 1/25*o**6 - 3/50*o**5 + 0 + 3/10*o**4. Solve y(d) = 0.
-2, -1, 1
Let -204*a**2 - 15746 + 51*a - a**3 + 3*a**3 + 5535*a - 3462 = 0. Calculate a.
4, 49
Let z = 320 - 285. Suppose 5*p = 50 - z. Factor 4 - 6*l - l**2 + 3/2*l**p.
(l - 2)*(l + 2)*(3*l - 2)/2
Let l be -3 - 14/42*-9. Let v(b) be the third derivative of -b**2 + 1/9*b**3 - 1/36*b**4 + l*b + 0 + 1/360*b**5. Factor v(j).
(j - 2)**2/6
Let m(v) = 4*v + 9. Let s be m(-12). Let q = s + 41. Factor -2*j + 0*j - j - 4*j**2 + 6 + j**q.
-3*(j - 1)*(j + 2)
Let w(s) = 3*s + 2. Let q(k) = -3*k**2 - 186*k - 210. Let t(l) = q(l) - 27*w(l). Factor t(r).
-3*(r + 1)*(r + 88)
Let w(q) = q**3 - 22*q**2 + 20*q - 989. Let c be w(23). Let h(m) be the second derivative of 1/84*m**4 + 21*m + c - 1/14*m**3 + 0*m**2. Solve h(x) = 0.
0, 3
Let v = 57 - 71. Let c = -10 - v. Let -q**2 - q**2 + 14*q**2 - c*q = 0. What is q?
0, 1/3
Factor -10*d**3 + 0*d**2 - 5/3*d**4 + 90*d + 135.
-5*(d - 3)*(d + 3)**3/3
Determine r, given that -64/9*r**4 + 7648/9*r**3 - 472/9 - 3788/3*r**2 + 4252/9*r = 0.
1/4, 1, 118
Let r(o) = -20*o**2 - 34*o + 82. Let t be r(-3). Let -t*g**2 - 22/3*g + 4/3 = 0. Calculate g.
-2, 1/6
Let m be (-120)/12 - (-748)/55. Solve 0*h**2 - 12/5 - 6/5*h**3 + m*h = 0 for h.
-2, 1
Let l be 6*(-12 + (-160)/(-12)). Let a be 10/l + 273/156. Let 0*r**2 + 0 + 2/7*r**a - 2/7*r = 0. What is r?
-1, 0, 1
Let c(p) be the first derivative of 5*p**4/2 - 105*p**3 + 75*p**2 + 155*p + 26. Factor c(a).
5*(a - 31)*(a - 1)*(2*a + 1)
Let f(d) = d**3 + 23*d**2 - 14*d + 5. Let i(j) = -12*j**2 + 8*j - 2. Suppose -v + 2 = -4*k, 3*v - k + 24 = k. Let p(a) = v*i(a) - 4*f(a). Factor p(z).
-4*z*(z - 6)*(z - 1)
Let h be 15*(-5)/(-90)*6. Suppose -16*j**4 - 56*j**2 + 24*j - 68*j - 46*j**3 + 2*j**h + 20*j - 4*j**5 = 0. What is j?
-3, -2, -1, 0
Let y(i) be the first derivative of i**6/18 + i**5/5 - i**4/3 - 4*i**3/3 + 6593. Factor y(w).
w**2*(w - 2)*(w + 2)*(w + 3)/3
Suppose 2*k = -4, 1 = l - 2*k + k. Let m be (3/l - 0)/((-27)/18). Solve q**2 + 0*q - 2*q**m + 2*q = 0.
0, 2
Let p = 595684 + -595684. Factor -2/11*t**5 - 6/11*t**3 + 6/11*t**4 + 2/11*t**2 + p + 0*t.
-2*t**2*(t - 1)**3/11
Let v(w) be the second derivative of -10*w**4 - 99/20*w**5 - 1/14*w**7 - 8*w**3 + 0*w**2 - 18 - w**6 - 2*w. Factor v(p).
-3*p*(p + 1)**2*(p + 4)**2
Let i be (-12 + 19)/(-7)*(-3)/1. Let -v**2 + 4*v**i - 18*v - 6*v + 2*v**3 + 28*v**2 + 18*v**2 = 0. Calculate v.
-8, 0, 1/2
Let b be 187/759 + (-20)/(-230). Factor -4/3 - 11/3*i - 3*i**2 + 1/3*i**4 - b*i**3.
(i - 4)*(i + 1)**3/3
Determine o so that 2088/7 + 21*o**4 + 1293*o**3 + 30714/7*o**2 + 15348/7*o = 0.
-58, -3, -2/7
Suppose 835*c - 847*c = 0. Let n(t) be the third derivative of -1/30*t**6 + 0*t**3 + 1/105*t**7 + c*t**5 + 0 + 1/168*t**8 + 0*t - 7*t**2 + 0*t**4. Factor n(u).
2*u**3*(u - 1)*(u + 2)
Let g(y) be the second derivative of -y**5/20 + 233*y**4/12 + 5344*y. Determine k, given that g(k) = 0.
0, 233
Let x(b) be the second derivative of -b**4/6 + 22*b**3/3 - 112*b**2 + 7*b + 6. Find q such that x(q) = 0.
8, 14
Let q(o) = 4*o + 38. Let w be q(-9). Suppose 3*a - 21 = -a - 5*f, w*f + 2 = a. Solve -7*v + 3*v**4 - 5*v**3 - 2 - 4*v**4 + 0*v**a - 9*v**2 = 0.
-2, -1
Let a(j) = 1419*j - 5674. Let u be a(4). Determine q, given that 5/12*q**u - 1/3*q - 1/6*q**3 + 1/12 = 0.
1/2, 1
Let q be (-2)/(-9) - (-15)/54. Let o = 1010354 + -1010351. Find k such that -1/2*k + 1/6*k**4 + q*k**o - 1/3 + 1/6*k**2 = 0.
-2, -1, 1
Let j(o) be the first derivative of 1/36*o**5 - 11 - 1/1080*o**6 + 23/3*o**3 - 25/72*o**4 + 0*o**2 + 0*o. Let u(k) be the third derivative of j(k). Factor u(c).
-(c - 5)**2/3
Let n be 24/((-1872)/3315) - -43. Factor 1458 + n*x**2 - 54*x.
(x - 54)**2/2
Let x be -12 + -55 + (-34540)/(-495). Factor 10/9*n + 1/9*n**2 + x.
(n + 5)**2/9
Let x(m) = 24*m + 7. Let l be x(3). Let r = l + -74. What is i in -28*i**3 + r - 8*i**2 + 10*i**3 + 4*i**4 - 1 + 10*i**3 + 4*i**5 + 4*i = 0?
-1, 1
Let s = 2804/5 + -8407/15. Factor 1/3*o**2 + 2/3*o + s.
(o + 1)**2/3
Let w(c) be the first derivative of -6*c**2 + 0*c - 21/8*c**4 + 167 + 9*c**3. Factor w(f).
-3*f*(f - 2)*(7*f - 4)/2
Let p(o) be the first derivative of 0*o + 1/9*o**3 - 45 - 1/6*o**2. Factor p(w).
w*(w - 1)/3