k**3/3 - 17*k**2/12 + 2*k/3 - 8183. What is q in g(q) = 0?
-1, 1/3, 1, 4
Factor -1/4*p**3 + 321/4*p + 77/4*p**2 + 243/4.
-(p - 81)*(p + 1)*(p + 3)/4
Let s = 100 + 21. Factor -92 + 121 + 102*f - 3*f**2 - s - 775.
-3*(f - 17)**2
Suppose 40 = 1504*n - 162*n - 3234 - 752. Let -2/3*d**n + d**2 + 4/3 + 8/3*d - 1/3*d**4 = 0. Calculate d.
-2, -1, 2
Let k(d) be the second derivative of d**6/150 + 3*d**5/10 + 29*d**4/60 - 4607*d. Factor k(a).
a**2*(a + 1)*(a + 29)/5
Let u(w) be the second derivative of -w**4/6 - 634*w**3/3 - 100489*w**2 - 457*w + 2. Factor u(a).
-2*(a + 317)**2
Let a(p) be the first derivative of 3/2*p**2 - 45 - p**3 + 6*p. Solve a(q) = 0.
-1, 2
Let z(o) = -o**3 - 115*o**2 + 981*o + 26. Let b be z(8). Factor 1/2*a**5 - 3/2*a**3 - a**4 + b*a**2 + 2*a + 0.
a*(a - 2)**2*(a + 1)**2/2
Let t = 203938 + -815751/4. Factor -2 - t*m**2 - 3/2*m.
-(m + 2)*(m + 4)/4
Let c be -2 - -2 - 8 - ((58 - 38) + -33). Determine k, given that 0 + 12/5*k + 6/5*k**4 + 12/5*k**2 + 3*k**c - 9*k**3 = 0.
-2, -2/5, 0, 1
Let n = 34 + -2. Suppose 0 = -3*t + 2*t - r + 5, n = 4*t - 2*r. Find s such that t - s - 2 + s**2 - 7 = 0.
-1, 2
Let g = 21/5 + -221/55. Let a = 9871 - 108577/11. Find o such that -a*o**2 + 2/11*o**3 + g*o + 0 = 0.
0, 1
Let o(g) be the first derivative of 0*g + 1/15*g**3 + 1/10*g**2 + 6. Let o(s) = 0. What is s?
-1, 0
Let s(k) = -32*k**2 - 1674*k - 10. Let i(u) = 22*u**2 + 1117*u + 7. Let c(y) = 10*i(y) + 7*s(y). Factor c(f).
-4*f*(f + 137)
Let b be 8988/(-38948) - 148/(-78). Let -45 + b*o**2 - 130/3*o = 0. Calculate o.
-1, 27
Let k(m) be the first derivative of 1/18*m**6 - 2/15*m**5 + 0*m + 2/9*m**3 + 112 + 0*m**4 - 1/6*m**2. Factor k(w).
w*(w - 1)**3*(w + 1)/3
Let d(u) = -u**3 - u**2 - 2*u. Let g(p) = -3*p**3 - 5*p. Let l(c) = -c**3 - 6*c**2 + 4*c + 28. Let i be l(-6). Let r(a) = i*d(a) - g(a). Factor r(m).
-m*(m + 1)*(m + 3)
Suppose 0 - 4/3*d**2 - 16*d = 0. Calculate d.
-12, 0
Factor -139/3 - 137/3*a**2 - 1/3*a**3 + 277/3*a.
-(a - 1)**2*(a + 139)/3
Let q(r) = r**3 + 112*r**2 + 226*r + 662. Let h be q(-110). Factor 0 + 7/3*w + 1/3*w**h.
w*(w + 7)/3
Let o(c) be the first derivative of 25*c**4/8 + 80*c**3/3 + 64*c**2 - 1126. Factor o(r).
r*(5*r + 16)**2/2
Let u(k) = -15*k**3 - 62*k**2 - 81*k - 23. Let g(d) = 8*d**3 + 32*d**2 + 40*d + 10. Let h(i) = 11*g(i) + 6*u(i). Solve h(m) = 0.
-7, -2, -1
Suppose -86*l + 65*l + 35*l = 42. Find d such that 24/5*d**2 + 0*d + 2/5*d**5 + 0 - 8/5*d**l - 6/5*d**4 = 0.
-2, 0, 2, 3
Let s(n) be the third derivative of -n**8/168 - 71*n**7/105 - 233*n**6/30 - 586*n**5/15 - 322*n**4/3 - 512*n**3/3 - 170*n**2 - 5*n. Factor s(i).
-2*(i + 1)*(i + 2)**3*(i + 64)
Let p(x) be the third derivative of x**5/30 + 132*x**4 + 209088*x**3 + 638*x**2 + 3. Factor p(a).
2*(a + 792)**2
Let s(z) be the second derivative of -2*z**7/21 + 19*z**6/15 - 11*z**5/10 - 53*z**4/6 + 13*z**3/3 + 34*z**2 - 2640*z. Find w, given that s(w) = 0.
-1, 1, 2, 17/2
Let a(v) = v**3 + 10*v**2 + 5*v + 56. Let g be a(-10). Solve 10*c - 41*c**5 + 2*c + 12*c**2 - g*c**4 + 44*c**5 - 3*c**3 - 6*c**3 = 0 for c.
-1, 0, 2
Let w(k) be the third derivative of -k**6/420 - k**5/30 - 2*k**4/21 + 35*k**3/2 - 92*k**2. Let f(y) be the first derivative of w(y). Let f(q) = 0. Calculate q.
-4, -2/3
Suppose -5*u = -5*b - 4 + 24, 5*b - 6 = -2*u. Suppose 3*z - 15 + 6 = 0. Factor 0*f - 1/7*f**b + 0 - 1/7*f**4 + 2/7*f**z.
-f**2*(f - 1)**2/7
Let g(r) = 13*r - 34. Let n(m) = -m - 1. Let b be n(-4). Let o be g(b). Factor -6*a + 5*a**4 + o*a**3 + a - 15*a**2 + 898 - 888.
5*(a - 1)**2*(a + 1)*(a + 2)
Let r(u) be the second derivative of 7 + 5/6*u**4 + 1/45*u**6 + 7/30*u**5 + 0*u**2 + u**3 + 9*u. Factor r(d).
2*d*(d + 1)*(d + 3)**2/3
Let m be (0 + -2)*1 - (-25 - -539). Let t = m - -7742/15. What is b in -t*b**3 + 2/15*b**2 + 4/15*b + 0 = 0?
-1, 0, 2
Let b(n) be the third derivative of -n**6/40 - 3*n**5/5 - 45*n**4/8 - 27*n**3 + 267*n**2. Factor b(i).
-3*(i + 3)**2*(i + 6)
Let g(y) be the first derivative of 27/19*y**2 + 26/57*y**3 + 4/19*y - 91. Factor g(z).
2*(z + 2)*(13*z + 1)/19
Let r(y) be the second derivative of y**4/4 + 4*y**3/3 - 3*y**2/2 + 79*y. Factor r(l).
(l + 3)*(3*l - 1)
Let i be (454720/672)/145*2*1/4. What is w in i*w - 1/3*w**2 - 2 = 0?
1, 6
Let d(m) = 13*m + 12. Let p be d(4). Suppose s + 46 = 3*r, 4*r - p = -0*r + 2*s. Factor 15 - 9 - 10*g - r - g**2 - g**2.
-2*(g + 1)*(g + 4)
Let l = 107639 + -107634. Determine s, given that 4/3*s - 10/3*s**l + 0 + 26/3*s**4 - 2/3*s**2 - 6*s**3 = 0.
-2/5, 0, 1
Suppose -72*i = -71*i - 4*c - 63, -4*c - 45 = 5*i. Factor -18/5*y + i + 3/5*y**2.
3*(y - 5)*(y - 1)/5
Factor -69/7*j**2 + 0 + 3/7*j**3 + 180/7*j.
3*j*(j - 20)*(j - 3)/7
Suppose 4*i - 22 = -d, -3*d - 43 = -i - 44. Factor 3/5*h**3 - 2/5*h + 0 - 2/5*h**4 + 3/5*h**d.
-h*(h - 2)*(h + 1)*(2*h - 1)/5
Let f = 3932 + -3929. Let d(a) be the first derivative of 0*a - 2 + 1/2*a**2 - 1/3*a**f. Factor d(w).
-w*(w - 1)
Let t be 25*(8/(-16))/(2825/(-452)). Let k = -1 + 1. Factor k - 3/2*y**t - 1/2*y**4 + 2*y**3 + 0*y.
-y**2*(y - 3)*(y - 1)/2
Let b(p) be the second derivative of p**6/60 - p**5/8 - 121*p**4/24 - 415*p**3/12 - 75*p**2 - 8108*p. Solve b(k) = 0 for k.
-5, -4, -1, 15
Let s(c) be the third derivative of -c**6/210 + 179*c**5/105 - 4136*c**4/21 + 15488*c**3/7 - 829*c**2 + 3*c. Factor s(o).
-4*(o - 88)**2*(o - 3)/7
Let p(l) be the third derivative of l**7/1365 - 7*l**6/60 + 89*l**5/130 - 265*l**4/156 + 88*l**3/39 - 1571*l**2. Factor p(t).
2*(t - 88)*(t - 1)**3/13
Factor 1288 + 848 + 2892*o**2 - 1084*o**3 - 5348*o + 1400*o**2 + 4*o**4.
4*(o - 267)*(o - 2)*(o - 1)**2
Suppose 0 = -20*z - 4*h + 52, -2*h = -2*z + 73 - 99. Find t, given that -2/5*t**3 + 0*t**4 + 0*t**2 + 1/5*t**5 + z + 1/5*t = 0.
-1, 0, 1
Determine m, given that -52*m**2 - 2/5*m**4 + 432/5 - 10*m**3 - 24*m = 0.
-18, -6, -2, 1
Let q(j) be the third derivative of -j**6/40 - 16*j**5/5 - 2*j**2 + 585. Solve q(o) = 0.
-64, 0
Let y be 2/6*-1 - (-92)/6. Let 9*i + y*i - 59*i**4 + 9 + 18*i**2 + 56*i**4 = 0. Calculate i.
-1, 3
Solve 772/3*l - 257/3 - 258*l**2 - 1/3*l**4 + 260/3*l**3 = 0 for l.
1, 257
Solve 5/6*r**2 - 75/2*r + 110/3 = 0 for r.
1, 44
Let n(c) be the third derivative of -1/10*c**5 + 17*c**2 + 0*c**3 + 0*c - 1/40*c**6 + 15/8*c**4 - 2. Find j, given that n(j) = 0.
-5, 0, 3
Let y(d) be the third derivative of d**5/20 + 11*d**4/2 + 242*d**3 - 25*d**2 - 3. Factor y(h).
3*(h + 22)**2
Suppose x = 0, -6*j - 4*x = -8*j + 24. Suppose 32*f**4 - 14*f**4 - 12*f - 3 - 7*f**4 - j*f**3 - 18*f**2 - 14*f**4 = 0. Calculate f.
-1
Let v(y) = -481*y**3 + 4*y**2 + 5*y + 2. Let d be v(-1). Let m = d + -479. Factor -1/4*q**m - 1/4*q - 1/2*q**2 + 0.
-q*(q + 1)**2/4
Let t(h) = 17*h**4 + 8*h**3 - 269*h**2 - 158*h + 18. Let n(w) = -w**4 - w**3 - w**2 + 18*w - 3. Let f(o) = -6*n(o) - t(o). Factor f(g).
-g*(g - 5)*(g + 5)*(11*g + 2)
Let c(n) = -2*n**4 - n**2 - 2. Let y(r) = -5*r**4 - 28*r**3 - 246*r**2 - 672*r - 580. Suppose -36*i - 50 = -11*i. Let p(s) = i*c(s) + y(s). Factor p(u).
-(u + 2)**2*(u + 12)**2
Let g(r) = r**3 - 131*r**2 + 512*r - 494. Let p be g(127). Let o(l) be the first derivative of -1/27*l**3 + 0*l**2 + 1/9*l + p. Factor o(j).
-(j - 1)*(j + 1)/9
Let u(s) be the third derivative of -s**8/2184 + 47*s**7/1365 - 217*s**6/780 + 99*s**5/130 - 21*s**4/26 - 2*s**2 - 428*s. Suppose u(p) = 0. Calculate p.
0, 1, 3, 42
Let r be ((-1)/(-7))/(18 + 63315/(-3528)). Suppose -40/3*v**5 + 14/3*v + 62/3*v**4 + 26/3*v**3 + r - 70/3*v**2 = 0. What is v?
-1, -1/4, 4/5, 1
Let a be (-2)/12 - 289/(-6). Let t = 51 - a. Solve 69*c**t - 73*c**3 + c - 12*c**2 - 9*c = 0 for c.
-2, -1, 0
Let n(d) be the first derivative of -d**5/60 - 23*d**4/24 + 4*d**3 - 37*d**2/2 + 134. Let k(w) be the second derivative of n(w). What is o in k(o) = 0?
-24, 1
Let y = -50 + 69. Suppose -6*k = -y*k + 26. Solve 27*s**3 + 9*s + 48*s**k - 6 + 6*s + 0*s = 0.
-1, 2/9
Find q, given that -3*q**5 - 18*q**3 - 16*q**4 + 10478*q**2 - 11*q**4 - 12*q**4 + 90*q - 10439*q**2 - 69*q**3 = 0.
-10, -3, -1, 0, 1
Let y be (34/51)/(6/(-4023)). Let t = 450 + y. Factor 0 + 2/5*l**t - 4/5*l + 2/5*l**2.
2*l*(l - 1)*(l + 2)/5
Let z(t) be the first derivative of -t**3/3 - 155*t**2/2 + 314*t + 283. Factor z(u).
-(u - 2)*(u + 157)
Suppose 0 = -2*c + 4*g + 20, 2*c - 17 = -g + 3. Let v = -7 + c. Solve -136*i**2 - 80*i +