-n**4/3 - 2*n**3/3 + 112*n**2 - 2326*n. Find i, given that o(i) = 0.
-8, 7
Let z = 1291003 + -2582001/2. Suppose 5/2*m**4 + 0 - 5/2*m**2 - 5/2*m**3 + z*m = 0. Calculate m.
-1, 0, 1
Let n(y) be the second derivative of y**5/10 - 3*y**4 - 88*y**3/3 + 842*y. Factor n(w).
2*w*(w - 22)*(w + 4)
Let p(r) be the second derivative of -15/8*r**5 + 81/4*r**3 - 74 - 45/8*r**4 - 81/4*r**2 - 2*r. Let p(h) = 0. What is h?
-3, 3/5
Solve 171986807 + 159196*q + 652004*q + q**3 - 31378807 + 1560*q**2 = 0 for q.
-520
Factor 534 + 2*l**2 - 425*l + 830*l + 3*l**2 - 2234.
5*(l - 4)*(l + 85)
Let f be 86/3053 + (-6)/213. Factor 2/3*s + f + 4/3*s**2 - 2*s**3.
-2*s*(s - 1)*(3*s + 1)/3
Factor -156/7*k**2 + 3/7*k**3 + 138 + 807/7*k.
3*(k - 46)*(k - 7)*(k + 1)/7
Let k(d) = 9*d**3 + 5*d**2 - 20*d - 20. Let t(c) = -4 - 2*c**3 - 5*c**2 + 2 - 6*c**3 + 20*c + 22. Let g(r) = 3*k(r) + 4*t(r). Factor g(x).
-5*(x - 2)*(x + 1)*(x + 2)
Let x(b) be the second derivative of 1/15*b**6 + 2 + 0*b**5 - 5/6*b**4 + 0*b**3 + 4*b**2 + 64*b. Determine r so that x(r) = 0.
-2, -1, 1, 2
Let l be 7/14 - (-10)/4. Suppose 2*f = l*f. Let 5*u**2 - 5*u**5 - u**4 - 3*u**4 - u**4 + f*u**4 + 5*u**3 = 0. What is u?
-1, 0, 1
Determine n, given that 29/2*n + 27/4*n**2 - 1/4*n**3 + 0 = 0.
-2, 0, 29
Suppose 5*r + 2*s = -100 + 99, 5*r + s - 7 = 0. Factor -6*w**3 + r*w**2 - 3/2*w**4 - 27/2 + 18*w.
-3*(w - 1)**2*(w + 3)**2/2
Let b be -2 - (4 - 3)*30. Let o = b + 41. Determine a so that a**2 - 6*a - o + a**2 - 3*a**2 = 0.
-3
Let z = 599 - 597. Factor -4*t**4 + 0*t**5 - 4*t**z - 2*t**5 + 4*t**2 + 4*t**2 + 2*t.
-2*t*(t - 1)*(t + 1)**3
Factor -253/5 + 507/5*b**2 + 2/5*b**3 + 252/5*b.
(b + 1)*(b + 253)*(2*b - 1)/5
Factor 49298/3 + 2/3*g**2 - 628/3*g.
2*(g - 157)**2/3
Let d(l) be the second derivative of l**5/60 + 7*l**4/36 + 2*l**3/3 - 1741*l. Suppose d(a) = 0. What is a?
-4, -3, 0
Let v(y) be the third derivative of 0*y**3 + 0 + 1/30*y**6 + 1/15*y**5 + y - 132*y**2 - 1/3*y**4. Let v(r) = 0. Calculate r.
-2, 0, 1
Let o = -103/6 - -58/3. Let y(i) be the second derivative of 1/15*i**6 + 3/5*i**5 - 10*i + o*i**4 + 0 + 4*i**3 + 4*i**2. Factor y(d).
2*(d + 1)**2*(d + 2)**2
Factor -3*f**4 - 136*f**3 - 7875*f**2 - 2*f**4 - 199*f**3 - 185220 + 13989*f - 86754*f.
-5*(f + 4)*(f + 21)**3
Let s(w) be the second derivative of -46*w - 7/3*w**3 + 1/10*w**5 - w**4 + 0 + 0*w**2. Suppose s(k) = 0. What is k?
-1, 0, 7
Let v(n) be the third derivative of 2*n**7/105 - n**6/10 + n**5/15 + n**4/2 - 4*n**3/3 - 999*n**2 + 1. Factor v(l).
4*(l - 2)*(l - 1)**2*(l + 1)
Determine c so that 56*c**3 + 117*c**3 - 57*c - 15*c**2 - 172*c**3 + 3*c = 0.
-3, 0, 18
Let z(p) be the third derivative of p**6/300 + 127*p**5/150 - 26*p**4/3 + 524*p**3/15 - 3*p**2 - 2. Factor z(v).
2*(v - 2)**2*(v + 131)/5
Let i(f) be the first derivative of -f**6/24 + 13*f**5/20 - 7*f**4/2 + 20*f**3/3 + 4005. Factor i(h).
-h**2*(h - 5)*(h - 4)**2/4
Let v = 63/4 - 313/28. Find g, given that 1/7*g**2 + 256/7 - v*g = 0.
16
Let y(f) be the second derivative of -19*f + 9*f**2 + 0 + 0*f**3 + 1/6*f**4 + 1/30*f**5. Let o(g) be the first derivative of y(g). Factor o(q).
2*q*(q + 2)
Let u(t) = 87*t + 524. Let s(a) = -2*a**2 - 36*a - 118. Let q be s(-14). Let x be u(q). Factor 0 - 4/7*f**x - 1/7*f**3 - 4/7*f.
-f*(f + 2)**2/7
Let c(a) be the first derivative of -6*a**5/55 + 69*a**4/22 - 204*a**3/11 + 556. Factor c(t).
-6*t**2*(t - 17)*(t - 6)/11
Let a(m) = 3*m**2 - 559*m - 7560. Let l be a(199). Solve 2/5*d**3 + 18/5*d + 0 + 12/5*d**l = 0.
-3, 0
Suppose -4*p = -11*p + 42. Determine h, given that -2*h**3 + 6*h - h**3 + 12*h**2 - p*h**2 - 3*h**2 = 0.
-1, 0, 2
Let o(c) be the third derivative of c**8/1344 + 17*c**7/420 - 242*c**2. Suppose o(z) = 0. What is z?
-34, 0
Let u(s) = s**2 - 22*s + 87. Let j be u(17). Let f(n) be the third derivative of -6*n**2 - 2*n**4 + 0*n + 0 - 9/20*n**5 + j*n**3. Factor f(b).
-3*(b + 2)*(9*b - 2)
Let y(x) be the third derivative of 0*x**4 + 0*x**6 + 0*x**3 + 0*x**5 - 1/1365*x**7 - 1/728*x**8 + 0 - 25*x**2 + 0*x. Factor y(m).
-2*m**4*(3*m + 1)/13
Suppose -4429*o + 18811 - 1309 = 1405*o. Factor 0 + 2/13*t**2 + 40/13*t - 2/13*t**o.
-2*t*(t - 5)*(t + 4)/13
Let d(l) be the second derivative of l**5/80 + 7*l**4/16 - 736*l + 1. Let d(m) = 0. Calculate m.
-21, 0
Suppose -40/21*g - 174/7 + 2/21*g**2 = 0. What is g?
-9, 29
Let i(w) be the second derivative of -61/32*w**4 - 27/4*w**2 - 21/80*w**5 - 21/4*w**3 - 1/80*w**6 + 56*w + 0. Let i(n) = 0. Calculate n.
-6, -1
Let x(i) = 8*i**4 - 3*i**3 + 24*i**2 - 64*i + 42. Let k(q) = -q**4 + 2*q**3 - q**2 - q. Let d(n) = -28*k(n) - 4*x(n). Determine r so that d(r) = 0.
-7, -6, 1
Let p be 4/(-32)*4 + 26/4. Suppose -5*o + f + 6 = 0, 2*f + 3 + 1 = p*o. Factor 2/3*k**o + 4*k + 0.
2*k*(k + 6)/3
Let c be 30/7 + 34/(-119). Determine d, given that -80*d**c + 6*d**3 - 3*d**5 + 0*d**5 + 83*d**4 = 0.
-1, 0, 2
Suppose 0 = 57878*d - 57679*d - 995. Factor 0*i**2 - 2/15*i**d - 6/5*i**3 - 4/5*i**4 + 0 + 0*i.
-2*i**3*(i + 3)**2/15
Let k(t) be the third derivative of 2*t**7/945 + 7*t**6/90 + 149*t**5/540 - 11*t**4/36 - 19*t**3/6 + 6*t**2 + 29*t + 1. Suppose k(v) = 0. What is v?
-19, -3/2, 1
Let c(u) be the second derivative of -u**4/4 + 199*u**3 - 1191*u**2/2 - 185*u + 1. Factor c(q).
-3*(q - 397)*(q - 1)
Let o be 126/6384 + 70/665. Find z, given that -1/2*z - o*z**3 + 1/2*z**2 + 0 = 0.
0, 2
Let m be (-2 - 1/1)*405/(-243). Suppose -10*g**4 + 10*g**2 - 6*g + m*g**2 + 6*g**3 - 5*g**4 = 0. What is g?
-1, 0, 2/5, 1
Let g(n) = n**2 - 49*n - 38. Let y = -377 + 368. Let t(h) = 3*h**2 - 99*h - 75. Let k(p) = y*g(p) + 4*t(p). Suppose k(f) = 0. What is f?
-14, -1
Determine c, given that 148*c**3 + 4*c**4 + 10*c**2 - 1008*c + 6*c**2 + 199197 - 20*c**4 - 4*c**5 - 198045 = 0.
-8, -3, 2, 3
Suppose -43*b = -46*b. Suppose -13*i + 0*i + 52 = b. Factor 2 - i*l**3 + 4*l - 412*l**2 - 7 + 420*l**2 - 3.
-4*(l - 2)*(l - 1)*(l + 1)
Let o be (-17493)/(-28) + -6*4/6. Let a = 621 - o. Suppose a*w**2 - 1/4 + 0*w = 0. What is w?
-1, 1
Let p(k) = 51*k + 867. Let f be p(-17). Let n(z) be the third derivative of f*z**3 - 19*z**2 - 1/18*z**4 + 0*z + 0 - 1/90*z**5. Factor n(u).
-2*u*(u + 2)/3
Let g = 13498 + -13496. Let t(z) be the third derivative of 1/30*z**5 + 0*z + 3*z**g - 11 - 7/6*z**4 + 13/3*z**3. Let t(j) = 0. What is j?
1, 13
Find v such that -102*v**2 - 4*v**3 + 1080*v - 831 - 769 + 40*v**2 - 70*v**2 = 0.
-40, 2, 5
Suppose -8 = -1484*y + 1482*y. Suppose 0 = 2*b + 2*a + 10, -y*b - 19*a + 23*a + 20 = 0. Factor -2*k + b + 1/2*k**4 + 4*k**2 - 5/2*k**3.
k*(k - 2)**2*(k - 1)/2
Let p(q) be the second derivative of -16/5*q**3 + 5/2*q**4 + 1/50*q**6 + 0 - 39/100*q**5 - 144/5*q**2 - 79*q. Let p(n) = 0. Calculate n.
-1, 4, 6
Suppose 2*b - z = -210, 5*b - z + 379 = -146. Let d be (-322)/b + 16/(-6). Determine r so that d*r - 2/5*r**3 - 1/5 + 1/5*r**4 + 0*r**2 = 0.
-1, 1
Suppose -14*c + 24*c = 50. Factor 7*n + 45*n**3 - 21*n**2 + 3*n - 9*n**2 - 5*n**2 - 25*n**4 + 5*n**c.
5*n*(n - 2)*(n - 1)**3
Let j(q) = -q**3 + 15*q**2 - 165*q + 13. Let a be j(7). Let b = a - -752. Factor -4*p**b - 20/7 + 44/7*p + 4/7*p**3.
4*(p - 5)*(p - 1)**2/7
Let m = -1810 + 1812. Suppose -4*i + 91 + 29 = 0. Find v such that -13*v + 5*v**m + i + 6*v - 7*v - 11*v = 0.
2, 3
Let q = 561/214 + -227/107. Find i such that 0*i - q*i**4 - i**3 + 0 + 0*i**2 = 0.
-2, 0
Let z(x) be the second derivative of -2*x + 80 - 1/3*x**3 + 1/8*x**4 + 0*x**2. Suppose z(d) = 0. Calculate d.
0, 4/3
Let g be ((-18)/135)/(9/525). Let z = 377/45 + g. Find s, given that -z*s**5 + 12/5*s**2 + 0 - 18/5*s**3 - 3/5*s + 12/5*s**4 = 0.
0, 1
Let j = 263048/9 + -29227. Factor j*f - 5/9*f**3 + 1/3*f**4 - 2/9 - 1/9*f**2.
(f - 1)**2*(f + 1)*(3*f - 2)/9
Let j(n) = -26*n**2 + 23367*n - 27284494. Let r(f) = -23*f**2 + 23366*f - 27284492. Let y(a) = 6*j(a) - 7*r(a). Factor y(x).
5*(x - 2336)**2
Let a(o) be the third derivative of o**6/24 - 5*o**5/3 - 5*o**4/24 + 50*o**3/3 + 2*o**2 + 1800. Factor a(f).
5*(f - 20)*(f - 1)*(f + 1)
Let s = -380 - -86. Let u be -2 + ((-2)/5 - s/35). Factor -2*p**2 - p**2 + 4 - 9*p - u - 4.
-3*(p + 1)*(p + 2)
Let i(u) be the third derivative of -u**6/240 - 41*u**5/120 + 25*u**4/8 + 66*u**3 - 3*u**2 + 2478. What is p in i(p) = 0?
-44, -3, 6
Suppose 38*y - 402*y + 728 = 0. Let f(g) be the first derivative of -2*g + 1/2*g**y - 