(w) = -6*f(w) - 14*o(w). What is g in x(g) = 0?
-12, 1, 6
Factor -5/3*w**2 - 260/3*w - 3380/3.
-5*(w + 26)**2/3
Let c = -516 + 220. Let s = 298 + c. Find t such that -3*t - 3/2*t**4 - 15/2*t**s - 6*t**3 + 0 = 0.
-2, -1, 0
Suppose 19 = 32*v - 366*l + 363*l, 3*v + 4*l = 66. Let -50*w**v + 14/3*w**3 - 44/3*w + 0 = 0. Calculate w.
-2/7, 0, 11
Let r = 48968 - 48964. Factor 19/3*m**2 - 7/3*m**5 - 4/3*m - 11*m**3 + 25/3*m**r + 0.
-m*(m - 1)**3*(7*m - 4)/3
Let n be (-2 - -8)/((-1)/(-2)). Let t(r) = -r**5 - r**4 - r**3. Let p(h) = -6*h**5 + 36*h**4 - 37*h**3 + 16*h**2. Let m(v) = n*t(v) + 4*p(v). Factor m(i).
-4*i**2*(i - 1)*(3*i - 4)**2
Let j(x) be the first derivative of -2/39*x**3 + 0*x + 60 + 0*x**4 + 2/65*x**5 + 0*x**2. Determine o, given that j(o) = 0.
-1, 0, 1
Let d(h) be the first derivative of 31 + 0*h**2 + 0*h**4 - 11/3*h**3 + 1/390*h**5 + 0*h - 1/2340*h**6. Let y(w) be the third derivative of d(w). Solve y(n) = 0.
0, 2
Let m(o) be the second derivative of -o**4/36 - 26*o**3/9 + 80*o**2 - 1575*o. Find z, given that m(z) = 0.
-60, 8
Let s(o) be the second derivative of o**4/84 + 23*o**3/42 - 54*o**2/7 + 2914*o. Factor s(z).
(z - 4)*(z + 27)/7
Let b(l) be the third derivative of l**6/1200 + l**5/150 - 2*l**4/3 + 128*l**3/15 + 197*l**2 + 6*l - 1. Factor b(o).
(o - 8)*(o - 4)*(o + 16)/10
Let h(o) be the second derivative of -5*o**7/42 - o**6 - o**5/2 + 20*o**4 + 165*o**3/2 + 135*o**2 + 610*o - 2. Solve h(x) = 0.
-3, -2, -1, 3
Let b(u) = -266*u - 10640. Let f be b(-40). Factor 87/5*v**2 - 48/5*v**3 + 3/5*v**4 + f - 42/5*v.
3*v*(v - 14)*(v - 1)**2/5
Let k(x) be the second derivative of -x**6/10 - 93*x**5/5 - 835*x**4/4 - 942*x**3 - 2106*x**2 + 1338*x - 1. Suppose k(n) = 0. What is n?
-117, -3, -2
Let n be ((-72)/(-48))/(150/60). Let 6 + 21/5*t + n*t**2 = 0. What is t?
-5, -2
Let u = -17 - 11. Let q be (-40)/u + (-9)/21. Factor 0 + q + 0 - 9 - 24*d - 10*d**2.
-2*(d + 2)*(5*d + 2)
Let t(w) be the second derivative of -3*w**5/80 + 13*w**4/4 + 1525*w. Factor t(o).
-3*o**2*(o - 52)/4
Factor 30*o**2 - 194*o + 1/2*o**3 + 264.
(o - 4)*(o - 2)*(o + 66)/2
Let i(w) = 4*w**3 - 8*w**2 + 14*w - 8. Let g(m) = 9*m**3 - 15*m**2 + 28*m - 17. Let r(t) = 2*g(t) - 5*i(t). Factor r(d).
-2*(d - 3)*(d - 1)**2
Suppose -105 = -2*m - 5*f, 6*m - 7*m - 4*f + 48 = 0. Determine d, given that -24*d + 32 + 2*d**3 - m*d**2 - 58*d**2 + 118*d**2 = 0.
-4, 2
Let h(w) be the second derivative of -w**4/48 - 17*w**3/8 - 49*w**2/4 - 883*w. Suppose h(v) = 0. Calculate v.
-49, -2
Let z(r) be the first derivative of r**5/120 - r**4/8 + 5*r**3/12 + 25*r**2/12 - 222*r + 233. Let j(i) be the first derivative of z(i). Factor j(c).
(c - 5)**2*(c + 1)/6
Factor 185*h - 226*h**2 + 421*h**2 + 107 + 713 - 200*h**2.
-5*(h - 41)*(h + 4)
Determine b, given that 4963*b**2 - 1760 + 1240*b - 4968*b**2 - 350*b = 0.
2, 176
Let f be 4/(-12)*(-24 + 0). Suppose 3*l = -l + f. Find i such that -2/7*i**3 - 54/7*i - 54/7 - 18/7*i**l = 0.
-3
Let r(w) = -8*w**3 + 1031*w**2 - 1907*w + 257. Let k be r(127). Find q, given that 2*q**2 + 6/13*q - 36/13 + 2/13*q**4 - 14/13*q**k = 0.
-1, 2, 3
Let m = 3790116/5 - 758016. What is f in m*f - 1/5*f**3 + 6/5*f**2 + 8 = 0?
-2, 10
Let j = 38 - 51. Let r = j + 16. Factor -6*v**2 + r*v**4 + 3*v**5 - 3*v + 0*v**4 + 3*v**4.
3*v*(v - 1)*(v + 1)**3
Let d be (-5)/(260/884) - 292/(-12). Factor 1/3*l**5 + 7/3*l**4 + 1 + d*l**2 + 13/3*l + 6*l**3.
(l + 1)**4*(l + 3)/3
Let z = -37203 - -37207. Let r(s) be the third derivative of 1331/14*s**3 + 1/280*s**6 - 6*s**2 + 0*s + 33/140*s**5 + 0 + 363/56*s**z. Solve r(c) = 0 for c.
-11
Let i be ((-8)/42)/((-1823)/32814). Determine j, given that 18/7*j - 44/7 + 2/7*j**3 + i*j**2 = 0.
-11, -2, 1
Let p be (0 + 0 + -1)*-5. Let o be 5 + p + (-147)/15. Suppose o*i**2 - 1/5*i**3 + 1/5*i - 1/5 = 0. Calculate i.
-1, 1
Factor 16/5*m + 2/5*m**3 + 22/5*m**2 - 8.
2*(m - 1)*(m + 2)*(m + 10)/5
Determine s, given that 1858/21*s + 124/7*s**2 - 10/21 = 0.
-5, 1/186
Let t(q) be the second derivative of -q**4/66 - 1167*q**3/11 + 3502*q**2/11 - 17*q + 63. Find w, given that t(w) = 0.
-3502, 1
Let u(f) be the first derivative of -98*f**5/5 - 1498*f**4/5 - 3392*f**3/5 + 3664*f**2/5 - 224*f + 655. Determine x so that u(x) = 0.
-10, -14/5, 2/7
Factor 1157*r - 644 - 1483*r + 4*r**2 - 4*r**2 - 2*r**2.
-2*(r + 2)*(r + 161)
Suppose -14*z - 15 = -15*z. Suppose -57*l = -60*l + z. Factor -1/5*i**2 - 3/5*i**4 + 0*i + 0 + 3/5*i**3 + 1/5*i**l.
i**2*(i - 1)**3/5
Let h be ((-28)/259)/((-26 + 5)/777). Find y such that 4*y**2 - 8*y**3 + 42/5*y + 16/5*y**h - 2/5*y**5 - 36/5 = 0.
-1, 1, 2, 3
Let k be (0 + -1 + 2)*129 + 0. Suppose k - 179 = -25*s. Factor 0 + 1/6*w + 0*w**s - 1/6*w**3.
-w*(w - 1)*(w + 1)/6
Factor 5 + 1/3*i**2 + 16/3*i.
(i + 1)*(i + 15)/3
Let u be (-146)/(-70) - ((-15)/(-300))/((-10)/40). Factor 4/7*f + 2/7*f**2 - u.
2*(f - 2)*(f + 4)/7
Let s(n) be the first derivative of -9*n**4/4 - 83*n**3/3 + 306*n**2 + 140*n - 1872. Suppose s(t) = 0. What is t?
-14, -2/9, 5
Let o(u) be the first derivative of -u**4/66 - 5*u**3/33 + 6*u**2/11 - 25*u + 40. Let s(j) be the first derivative of o(j). Find r, given that s(r) = 0.
-6, 1
Suppose -200 = -50*d + 10*d. Let k(q) = -18*q + 90. Let s be k(d). Factor 5/4*i**3 + 5/2*i**2 + 0 + s*i.
5*i**2*(i + 2)/4
Let z(p) be the third derivative of p**5/180 + p**4/8 - 5*p**3 + 3*p**2 - 121*p. Suppose z(o) = 0. What is o?
-15, 6
Let z = 4/20917 + 104573/62751. Determine f so that z*f**5 + 4/3*f**3 - 3*f + 32/3*f**4 + 6 - 50/3*f**2 = 0.
-6, -1, 3/5, 1
Factor -6*s**2 - 144 + 14*s + 32*s + 13*s**2 - 5*s**2 + 44.
2*(s - 2)*(s + 25)
Suppose 102*c**3 - 27*c**4 - 39*c**3 + 2023*c - 1834*c + 321*c**2 + 30 = 0. Calculate c.
-2, -1/3, 5
Let x(c) be the second derivative of -c**6/540 - c**5/45 - 25*c**2 + 38*c. Let n(o) be the first derivative of x(o). Suppose n(z) = 0. What is z?
-6, 0
Suppose -14 = 2*j - 16. Let y be -4 + j/(1*2/8). Let -2/5*a**3 - 2/5*a**4 + y + 0*a**2 + 0*a = 0. Calculate a.
-1, 0
Let y be ((-1)/(-42))/((-152)/(-9576)). Let y*a**4 + 3 - 3*a + 3/4*a**3 - 27/4*a**2 = 0. What is a?
-2, -1, 1/2, 2
Let l = -35580 + 35582. Factor -1/2*c + 0 + 3/2*c**3 + c**l.
c*(c + 1)*(3*c - 1)/2
Suppose 6 = -3*u + 2*t, 0 = -6*u + 7*u + 5*t + 2. Let n be (u/(-8))/(5/40). Let -4/3 + 1/3*l**n + 0*l = 0. Calculate l.
-2, 2
Let j(d) be the second derivative of -1 + 2/5*d**5 + 1/3*d**4 - 1/3*d**3 + 0*d**2 - 7*d - 2/15*d**6 - 1/7*d**7. Solve j(q) = 0.
-1, 0, 1/3, 1
Factor 16*k**2 - 90828 + 1044*k - 4*k**2 - 4*k**2 - 5*k**2 - 6*k**2.
-3*(k - 174)**2
Suppose -n - 4*n + 8*n = 0. Factor -1/3*s**2 + 1/3 + n*s.
-(s - 1)*(s + 1)/3
Determine o, given that 1/3*o**5 + 2810/3*o**4 + 498787161680/3*o + 56063676972832/3 + 1775043280/3*o**2 + 3158440/3*o**3 = 0.
-562
Let t(w) be the second derivative of 0*w**2 - 5/6*w**3 + 1/8*w**5 + 0 - 5/24*w**4 + 111*w. Factor t(q).
5*q*(q - 2)*(q + 1)/2
Let x = 940 + -950. Let f be (x/6)/((-84)/9 + 9). Solve 27/2*d + 33*d**3 - 36*d**2 + 0 + 3/2*d**f - 12*d**4 = 0 for d.
0, 1, 3
Let f(b) be the second derivative of 2*b**6/15 - 23*b**5/5 + 38*b**4 - 424*b**3/3 + 272*b**2 - 289*b + 5. Find x such that f(x) = 0.
2, 17
Let l(t) be the third derivative of 0*t - 1/12*t**5 + 0 - 5/6*t**4 + 103*t**2 - 10/3*t**3. Suppose l(k) = 0. Calculate k.
-2
Let q(v) be the first derivative of 3/2*v**2 + 1/6*v**3 + 0*v - 1/15*v**5 - 1/30*v**6 - 28 + 1/24*v**4. Let o(l) be the second derivative of q(l). Factor o(r).
-(r + 1)*(2*r - 1)*(2*r + 1)
Suppose 7*v - 414 - 69 = 0. Factor -6*x**2 + 3*x**2 + 60*x - v*x.
-3*x*(x + 3)
Let r(t) = 21*t**2 + 2084*t + 1077432. Let o(k) = -37*k**2 - 4166*k - 2154867. Let p(d) = -4*o(d) - 7*r(d). Suppose p(v) = 0. Calculate v.
-1038
Let x = 380 - 380. Suppose -2*k = -5*u + 7*u - 8, u + 4*k - 16 = x. Factor -8/9*i**3 + 0 - 4/9*i**4 + 0*i + u*i**2.
-4*i**3*(i + 2)/9
Let f be 1408/(-96) + (-9 - -41). Factor 16/3 + 28/3*a**3 + f*a + 20*a**2 + 4/3*a**4.
4*(a + 1)**3*(a + 4)/3
Suppose 26*o**2 + 0 + 24*o**3 - 148/3*o - 2/3*o**4 = 0. What is o?
-2, 0, 1, 37
Let l(q) be the first derivative of -q**4/2 + 4*q**3/3 - q**2 - 17*q - 2. Let r(t) be the first derivative of l(t). Factor r(o).
-2*(o - 1)*(3*o - 1)
Let j(k) = -196*k + 6274. Let a be j(32). Let g(r) be the first derivative of -5/3*r**3 + 0*r - 5/2*r**a - 16. Factor g(w).
-5*w*(w + 1)
Let 12