)/(-105))/13 + (-3)/7). Let -3/5*k**5 + 3/5*k**4 + x + 9/5*k**3 - 6/5*k - 3/5*k**2 = 0. What is k?
-1, 0, 1, 2
Let y(c) be the second derivative of -c**5 + 11*c**4 + 36*c**3 + 32*c**2 + 50*c - 5. Factor y(f).
-4*(f - 8)*(f + 1)*(5*f + 2)
Let k(p) be the first derivative of p**4 - 2*p**3 - 2187. Factor k(w).
2*w**2*(2*w - 3)
Suppose -5*z - 5*y = -2770, 0*z + 4*z - 2252 = 5*y. Let c be -6 + (z/81 - 0/1). Factor -c*n - 2/9*n**2 - 8/9.
-2*(n + 2)**2/9
Let l be (-3)/(-5) - 296/10. Let n = l - -32. Find b such that 8*b**2 - n + 1 + 5*b**3 - 5*b - 3 - 3*b**2 = 0.
-1, 1
Let k = 32060/33 - 1943/2. Let w(d) be the second derivative of 0 - 1/11*d**2 + 28*d - 1/110*d**5 + 1/33*d**3 + k*d**4. Factor w(x).
-2*(x - 1)**2*(x + 1)/11
Let i(n) be the second derivative of n**4/60 + 53*n**3/30 - 11*n**2 + 637*n + 3. Let i(o) = 0. What is o?
-55, 2
Let l(b) be the second derivative of -b**7/72 - 23*b**6/24 + 5*b**5/3 - b**4/6 - b**3 - b + 46. Let x(u) be the third derivative of l(u). Factor x(h).
-5*(h + 20)*(7*h - 2)
Let k(w) = -24*w - 933. Let d be k(-39). Let j(v) be the third derivative of 5/108*v**4 + 0*v + 25/54*v**d + 1/540*v**5 - 3*v**2 + 0. Let j(t) = 0. What is t?
-5
Let l(f) be the first derivative of -f**6/15 + f**5/5 - 2*f**3/3 + f**2 - 85*f - 50. Let s(v) be the first derivative of l(v). Find i, given that s(i) = 0.
-1, 1
Let l(x) = -41*x - 39. Let f be l(-1). Solve 0*p**2 - p**f - 2*p**2 - 2*p**2 - 46 + 26 - 20*p = 0.
-2
Let n be 6 - (-18)/(-75)*(-1600)/(-96). Factor -5/3*m + 10/3*m**n - 10/3 + 5/3*m**3.
5*(m - 1)*(m + 1)*(m + 2)/3
Let d(x) be the third derivative of x**7/140 - 23*x**6/6 + 223*x**5/8 - 455*x**4/6 + 101*x**3 - 3384*x**2. Suppose d(r) = 0. Calculate r.
2/3, 1, 2, 303
Let l = -325 + 313. Let x be 8/l + 30/45. Factor -3/5*a**2 - 3/5*a + x.
-3*a*(a + 1)/5
Factor -111*a - 111*a + 2*a**3 - 598 + 127*a**2 - 23*a**2 + 162 + 112.
2*(a - 3)*(a + 1)*(a + 54)
Let s(u) be the third derivative of 1/12*u**5 + 1/8*u**4 + 0*u + 1/120*u**6 + 2*u**2 + 5 - 3/2*u**3. Factor s(r).
(r - 1)*(r + 3)**2
Let p(i) be the first derivative of -4*i**5/45 + 4*i**4/9 + 100*i**3/27 - 56*i**2/9 - 4244. Suppose p(t) = 0. Calculate t.
-4, 0, 1, 7
Let q(n) = 74*n**3 - 2*n**2 + 7*n - 7. Let a be q(1). Determine f, given that 131*f**3 - 1 - 1 - a*f**2 + 39*f - 96*f**3 = 0.
2/35, 1
Factor -8/9*u**4 - 16/3*u**3 + 152/9*u**2 + 4/9*u**5 + 16/3 - 148/9*u.
4*(u - 3)*(u - 1)**3*(u + 4)/9
Let m(a) = -72*a**2 + 12891*a - 306777. Let c(v) = -15*v**2 + 2578*v - 61355. Let f(s) = -21*c(s) + 4*m(s). Factor f(g).
3*(3*g - 143)**2
Let l = 54 + -50. Let v(b) = -3*b**2 - 6*b + 5. Let d(f) = -3 - 8*f + 7*f + 14 - 6*f**2 - 11*f. Let n(r) = l*d(r) - 7*v(r). Find j such that n(j) = 0.
-3, 1
Let w be 3 + (1 - -3)/(-4). Let 60*n + 162 + 18*n - 669 - 3*n**w = 0. Calculate n.
13
Find z, given that -2/5*z**5 - 156/5*z**4 - 648/5*z + 0 - 8/5*z**2 + 486/5*z**3 = 0.
-81, -1, 0, 2
Let o(w) be the first derivative of 101 - 54*w**4 + 72*w - 2/3*w**6 - 130*w**2 + 56/5*w**5 + 352/3*w**3. Factor o(s).
-4*(s - 9)*(s - 2)*(s - 1)**3
Let k = -1/294 - -395/882. Suppose 0 = -866*b + 871*b - 15. Suppose k*u**2 + 0*u + 0 + 2/9*u**5 + 10/9*u**b + 8/9*u**4 = 0. What is u?
-2, -1, 0
Factor -11/4 + 1/4*x**5 - 19/2*x**3 - 43/4*x - 7/4*x**4 - 31/2*x**2.
(x - 11)*(x + 1)**4/4
Let t = -107227/13 - -751213/91. Find q such that -256/7 - 320/7*q + 4/7*q**4 - t*q**2 + 20/7*q**3 = 0.
-4, -1, 4
Solve 0 + 1/2*i**5 + 7/2*i**4 + 0*i + 3*i**3 + 0*i**2 = 0.
-6, -1, 0
Let i be (-132)/(-2706) - 2/41. Let n(t) be the third derivative of -1/120*t**5 + 1/96*t**4 + 0*t**3 + 0 + 25*t**2 + i*t. Factor n(o).
-o*(2*o - 1)/4
Let f(y) = -3*y**2 + 63*y + 573. Let g(k) = -4*k**2 + 62*k + 572. Let a = -177 + 183. Let j(m) = a*f(m) - 5*g(m). Factor j(n).
2*(n + 17)**2
Suppose 4*l = 8*p - 7*p - 1037, -l = 3. Let f = 4127/4 - p. Determine q so that 3*q**3 - 9/4*q**2 - 3/2 - f*q = 0.
-1, -1/4, 2
Let -4/7*h**3 - 67/7 + 130/7*h - 59/7*h**2 = 0. Calculate h.
-67/4, 1
Let s(g) be the third derivative of g**6/120 + 32*g**5/15 + 21*g**4/2 + 2*g**2 + 761*g. Factor s(x).
x*(x + 2)*(x + 126)
Suppose -3*r - 5755*y = -5762*y + 99, 4*r - 83 = -5*y. What is a in -1/6*a**3 + 31/6*a + 7/3*a**r + 8/3 = 0?
-1, 16
Let h(t) = -t**3 - 19*t**2 + 387*t + 6963. Let r be h(-16). Determine l so that -5/4*l**5 + 0*l - 1280*l**r + 0*l**2 + 0 - 80*l**4 = 0.
-32, 0
Factor -1585*k**3 - 47*k**2 - 540 + 794*k**3 + 387*k - 31*k**2 + 794*k**3.
3*(k - 20)*(k - 3)**2
Suppose 10/7*p**2 + 4/3*p + 0 + 2/21*p**3 = 0. What is p?
-14, -1, 0
Suppose -4*p + 13 = -5*j, 0*p - 5*j = p + 3. Let 180*k**2 - 58*k**2 - 6*k - 61*k**p - 58*k**2 = 0. What is k?
0, 2
Determine o, given that -8/11 + 504/11*o**3 + 738/11*o**4 - 730/11*o**2 - 504/11*o = 0.
-1, -2/3, -2/123, 1
Let u(y) = 2*y**3 - 2*y**2 + 4. Let g(r) = -12*r**3 - 72*r**2 - 204*r - 16. Let s(a) = -g(a) - 4*u(a). Factor s(j).
4*j*(j + 3)*(j + 17)
Suppose -4*a + 2*f = -86, 3*f - f - 66 = -4*a. Let z(d) be the first derivative of 4/3*d**4 - 4/3*d + 28/9*d**3 + 4/3*d**2 - a. Suppose z(j) = 0. What is j?
-1, 1/4
Find h such that -90*h**4 + 90*h**2 + 87*h - 3*h**5 + 104*h**3 - 319*h**3 + 131*h**3 = 0.
-29, -1, 0, 1
Let t(l) be the second derivative of l**4/60 + 233*l**3/10 - 2835*l. Factor t(i).
i*(i + 699)/5
Let v(g) = 6*g**3 - 100*g**2 - 56*g + 30. Let p(r) = -4*r**3 + 68*r**2 + 37*r - 21. Let q(m) = 10*p(m) + 7*v(m). Factor q(c).
2*c*(c - 11)*(c + 1)
Let q(j) be the second derivative of -j**6/240 + 3*j**5/10 - 35*j**4/4 + 392*j**3/3 - 1029*j**2 + 630*j. Factor q(a).
-(a - 14)**3*(a - 6)/8
Let q(z) be the second derivative of -z**8/1344 - z**7/252 + 11*z**6/144 + z**5/2 - 8*z**4 + 40*z. Let y(w) be the third derivative of q(w). Factor y(t).
-5*(t - 3)*(t + 1)*(t + 4)
Determine f so that 0 + 2/13*f**3 + 14/13*f**2 - 16/13*f = 0.
-8, 0, 1
Let m(l) be the third derivative of 0*l**4 + 2/35*l**5 + 13/210*l**6 + 1/588*l**8 + 0*l**3 + 0*l + 0 + 16/735*l**7 - 92*l**2. Factor m(o).
4*o**2*(o + 1)**2*(o + 6)/7
Let h = 101 - 101. Suppose 0 - 16*b**3 + h*b + 22/3*b**4 + 8/3*b**2 = 0. What is b?
0, 2/11, 2
Let v be (-3)/9*-3*12/3. Let s = v + 11. Factor 112*q + s + 13 + 196*q**2 - 12.
4*(7*q + 2)**2
Let g be (20/6)/(6/9). Suppose g*u - 4*v - 9 = 0, v + v = -2*u + 18. Factor 5*s - 5*s - u + 5*s - 3*s**2 + 8*s**2 - 5*s**3.
-5*(s - 1)**2*(s + 1)
Suppose -2*c = 2*m - 10, 2*c + 7 - 14 = m. Let s be (-2 + 2)/(2 - c). Factor -6/5*x**2 + s - 4/5*x.
-2*x*(3*x + 2)/5
Let s(o) be the third derivative of o**7/70 - o**6/20 - o**5/20 + o**4/4 + 680*o**2. Solve s(h) = 0 for h.
-1, 0, 1, 2
Suppose 2*h - 5*y = -y + 4, -5*y = 0. Factor 281*c**4 + 12500000 + 13500000*c + 142*c**4 + 4*c**5 + 1030000*c**h + 30400*c**3 - 2*c**5 - 21*c**4.
2*(c + 1)*(c + 50)**4
Let g = 123001/50 + -2460. Let t(s) be the second derivative of 2/5*s**2 - 1/15*s**4 + 0 + 2*s - g*s**5 + 1/15*s**3. Solve t(d) = 0.
-2, -1, 1
Let m(o) be the third derivative of 3*o**7/280 - 13*o**6/120 - 31*o**5/80 + 9*o**4/8 + 7*o**3/6 - 5*o**2 + 52. Let m(f) = 0. What is f?
-2, -2/9, 1, 7
Suppose -7 - 18 = -2*o - 3*j, 0 = 4*o + j - 25. Factor -422*i + 110*i**2 - 183*i - o*i**3 - 3 + 3.
-5*i*(i - 11)**2
Let m be (4/12*3)/(35*(-12)/(-180)). Let g(t) be the second derivative of 5/14*t**3 - m*t**2 - 1/7*t**4 + 3/140*t**5 + 0 + 3*t. Let g(v) = 0. Calculate v.
1, 2
Let j = 626161 + -2504633/4. Factor 4*b**3 + 0 - 7/4*b**4 + 1/2*b - j*b**2.
-b*(b - 1)**2*(7*b - 2)/4
Let k(s) be the first derivative of 4*s**5/5 + 10*s**4 + 116*s**3/3 + 40*s**2 - 2672. Factor k(m).
4*m*(m + 1)*(m + 4)*(m + 5)
Let t(f) be the first derivative of 4000*f**5 + 14000*f**4 + 19600*f**3 + 13720*f**2 + 4802*f - 3782. Factor t(q).
2*(10*q + 7)**4
Let y = 0 - -1. Suppose m - 3 = y. Factor -3*t**2 - 7*t - 3*t**2 + 2 - m*t**2 + t**2.
-(t + 1)*(9*t - 2)
Let v(o) be the third derivative of -o**7/1365 + 109*o**6/780 + 111*o**5/130 + 335*o**4/156 + 112*o**3/39 + 4161*o**2. Factor v(y).
-2*(y - 112)*(y + 1)**3/13
Suppose 236 = -8*r + 1676. Let z = -176 + r. Find l such that 0 + 6*l**2 - 3/2*l**5 - 9/2*l**3 - 6*l**z + 6*l = 0.
-2, -1, 0, 1
Let q(b) be the second derivative of b**5/50 - 47*b**4/3 + 937*b**3/15 - 468*b**2/5 + 2790*b. Factor q(d).
2*(d - 468)*(d - 1)**2/5
Find t, given that -224/3*t + 0 - 4/3*t**5 - 124*t**3 - 520/3*t**2 - 80/3*t**4 = 0.
-14, -4, 