5 + 70/11*w**4 + 32/11*w + 232/11*w**2 - 252/11*w**3 = 0. What is w?
-1/2, 1, 3, 13
Suppose -2*f - 135 = -5*s, 0 = -4*f + s + 4*s - 275. Let q = -66 - f. Factor -2*l**3 + 5*l - q*l**2 - 2*l + 3*l.
-2*l*(l - 1)*(l + 3)
Let s be 1/(-1 - 6/(-4)). Suppose -3*n = 2*n + c - 25, 4*n = -2*c + 26. Determine p so that p**n + 4*p**4 + 75*p + 55*p**3 + 175*p**s + 26*p + 24*p = 0.
-5, -1, 0
Let n be (0 + 20)*(42/8 + -5). Suppose -17*u + 24 = -n*u. Factor 0 + 0*k**4 - 3/8*k**3 + 3/8*k**5 + 0*k**u + 0*k.
3*k**3*(k - 1)*(k + 1)/8
Let j = -1225 - -1220. Let g be ((-180)/(-1008))/(j/(-4) - 1). Factor 10/7 - g*q**2 - 23/7*q.
-(q + 5)*(5*q - 2)/7
Let o be (1/(70/12))/((-46)/230) + 85952/64736. Suppose -278/17*b - o*b**2 + 70/17 = 0. What is b?
-35, 1/4
Let h(g) be the third derivative of -g**5/12 - 765*g**4/2 - 702270*g**3 - 902*g**2 - 2*g - 1. Determine p, given that h(p) = 0.
-918
Let m be (45/(-9))/(90/36*-7). Solve 10/7*q**2 + m*q**3 - 16/7 + 4/7*q = 0.
-4, -2, 1
Let q = 640 + -585. Let n be 6 - (10 - 374/q). Factor -16/5 + 2/5*p**2 + n*p.
2*(p - 1)*(p + 8)/5
Let w(i) be the first derivative of -3/5*i**2 + 0*i + 49 + 1/40*i**4 - 2/15*i**3. Factor w(b).
b*(b - 6)*(b + 2)/10
Let n(i) be the first derivative of i**4/30 + 644*i**3/15 - i**2/15 - 644*i/5 - 1243. Solve n(j) = 0.
-966, -1, 1
Let h(x) be the second derivative of -4*x**2 - 14/27*x**3 + 1/27*x**4 + 3*x - 4. Factor h(b).
4*(b - 9)*(b + 2)/9
Suppose 0 = -2*m + 3*m - 32. Factor m*d - 114*d**2 + 8*d + 109*d**2.
-5*d*(d - 8)
Suppose c - c + 51 = 17*c. Suppose -5 = -3*m - 2*z, -2*m + 16 = -5*z - 0*z. Factor 5*d**3 + d**2 - 5*d**2 - 3*d**4 + 0*d**m + c*d**3.
-d**2*(d - 2)*(3*d - 2)
Let c(q) be the second derivative of 117/35*q**5 + 6/7*q**2 + 26/7*q**3 + 0 + 193/28*q**4 + 41*q + 18/35*q**6. Factor c(m).
3*(m + 2)**2*(6*m + 1)**2/7
Factor -13776/13*y + 14112/13 - 334/13*y**2 - 2/13*y**3.
-2*(y - 1)*(y + 84)**2/13
Let n(l) be the third derivative of -5*l**8/336 - 13*l**7/21 - 107*l**6/12 - 36*l**5 + 2025*l**4/8 + 1215*l**3 - 734*l**2. Let n(j) = 0. Calculate j.
-9, -1, 2
Let d = 6779 + -33891/5. Solve -2/5*p**5 + 0 + 8/5*p**3 + d*p**2 - 4/5*p**4 - 6/5*p = 0.
-3, -1, 0, 1
Let a(o) = 7*o**2 - 24*o + 39. Let c(d) = 6*d**2 - 28*d + 26. Let j(h) = 2*a(h) - 3*c(h). Determine w, given that j(w) = 0.
0, 9
Suppose h + 5*k = 35, -3*h + 4*k - 2 = 7. Let z(n) be the third derivative of -n**2 + 0 - 1/40*n**6 + 0*n + 1/5*n**h + n**3 - 5/8*n**4. Factor z(t).
-3*(t - 2)*(t - 1)**2
Factor 0*w + 9604/3*w**2 + 1/3*w**5 + 34*w**4 + 931*w**3 + 0.
w**2*(w + 4)*(w + 49)**2/3
Let i = -76 - -69. Let p(v) = v**2 + 2*v - 33. Let h be p(i). Factor 2*b + 0*b + 14*b - 19 - 13 - h*b**2.
-2*(b - 4)**2
Let h be -6 - (4 + (-14 - -2)). Solve 50*x + 9 - 4*x**h + 7*x**2 + 18 - 68*x = 0.
3
Let y(m) = 46*m**2 - 208*m + 30. Let k(u) = -3*u**2 - 3. Let s(d) = 10*k(d) + y(d). Let o be s(13). Factor 4/17*l + 2/17 - 4/17*l**3 + o*l**2 - 2/17*l**4.
-2*(l - 1)*(l + 1)**3/17
Determine m so that -2/7*m**3 + 65536000/7 - 614400/7*m + 1920/7*m**2 = 0.
320
Let b = -948 - -838. Let n be 117 + b + 4/(0 - 1). Determine d, given that 2/7*d**n + 0 + 2/7*d - 4/7*d**2 = 0.
0, 1
Suppose 153 + 1208*u + 12850*u**2 + 712*u**3 + 28*u**4 - 11234*u**2 + 123 = 0. Calculate u.
-23, -1, -3/7
Let n be (-62)/(-15) + 6/(-45). Factor -14*d**3 + 2*d**n - 4 - 30*d**2 - 26*d + 5 - 4*d**4 - 6 - 3.
-2*(d + 1)**3*(d + 4)
Factor -1978/9*s - 10580/9 - 112/9*s**2 - 2/9*s**3.
-2*(s + 10)*(s + 23)**2/9
Let s be (-66)/(-35) - (-2)/(-7). Let q(d) = 19*d + 345. Let u be q(-18). Factor 162/5*y**4 + 252/5*y**u - 56/5*y + 26/5*y**2 + s.
2*(y + 1)**2*(9*y - 2)**2/5
Suppose -43*v + 267 - 52 = 0. Let o(m) be the first derivative of 7/11*m**2 - 6/11*m**3 + 5/22*m**4 + 6 - 4/11*m - 2/55*m**v. Find t, given that o(t) = 0.
1, 2
Let k = -179845/27 - -6661. Let z(d) be the first derivative of 20 + 0*d**2 - 1/45*d**5 + 0*d + k*d**3 + 1/36*d**4. Factor z(i).
-i**2*(i - 2)*(i + 1)/9
Factor 13*u**2 - 16*u + 8*u - 7*u + 45 - 5*u**3 - 38*u**2.
-5*(u - 1)*(u + 3)**2
Let u(w) be the second derivative of -w**4/30 - 122*w**3/15 - 1703*w. Factor u(p).
-2*p*(p + 122)/5
Let m(l) be the third derivative of 121*l**6/480 + 55*l**5/48 - 3*l**4/4 - 27*l**3/2 - 5103*l**2. Factor m(n).
(n - 1)*(11*n + 18)**2/4
Suppose 671/3 - 2012/3*k - k**2 = 0. What is k?
-671, 1/3
Suppose -32 = -8*r - 0*r. Suppose 17*h + 7*h - 15 - 4*h + 10*h**2 + 5*h**r - 20*h**3 = 0. Calculate h.
-1, 1, 3
Factor 2*c**2 - 398*c - 1065*c - 2*c**2 + 407*c + 69696 + 4*c**2.
4*(c - 132)**2
Let x be ((-45)/(-84))/((-1715)/(-32928)). Factor x*k - 2/7*k**2 - 648/7.
-2*(k - 18)**2/7
Let c(u) = 2*u**2 - 8*u + 6. Let x(w) = 19*w**2 - 38*w**2 + 4 + 20*w**2 - 5*w. Let n(v) = -5*c(v) + 8*x(v). Factor n(t).
-2*(t - 1)*(t + 1)
Let t = -1136738 - -4546967/4. Factor t*x**2 + 153/4*x + 15/2.
3*(x + 10)*(5*x + 1)/4
Let w = -174582/13 + 1920428/143. Factor w*x**3 + 24/11*x + 16/11 + 12/11*x**2.
2*(x + 2)**3/11
Let l(p) be the third derivative of p**8/336 - 11*p**7/420 + 11*p**6/240 + 17*p**5/60 - 19*p**4/12 + 10*p**3/3 - 122*p**2 - 2. Determine w so that l(w) = 0.
-2, 1, 2, 5/2
Let a(x) = x**3 + 4*x**2 + x - 3. Let i be a(-2). Let h be (-1 + 3)*i/2. Factor h*k**2 - k - 2 + 0*k**3 + 4*k - 1 - 3*k**3.
-3*(k - 1)**2*(k + 1)
Let k be 1*9 + (-3461 - -3452). Find f such that -5/2*f**3 + 3*f**2 + 4*f + k = 0.
-4/5, 0, 2
Let a(o) be the third derivative of -o**2 + 0*o - 1/540*o**5 - 13/54*o**4 - 338/27*o**3 - 14. Factor a(t).
-(t + 26)**2/9
Let y = 1066 + -1058. Let c(a) be the second derivative of 0*a**2 + 0 - y*a + 2/5*a**4 - 1/10*a**5 - 4/15*a**3. Determine m, given that c(m) = 0.
0, 2/5, 2
Let n = 122885/4 + -30721. What is q in -1/4*q**3 + n*q**2 + 1/4*q - 1/4 = 0?
-1, 1
Let z(p) = -33*p**4 - 64*p**3 - 37*p**2 + 110*p - 8. Let t(v) = -12*v**4 - 21*v**3 - 12*v**2 + 36*v - 3. Let o(y) = -8*t(y) + 3*z(y). Find a such that o(a) = 0.
-7, -2, 0, 1
Let x(m) be the third derivative of 5*m**5/16 + 849*m**4/16 - 17*m**3 - 4*m**2 - 6*m + 42. Factor x(r).
3*(r + 68)*(25*r - 2)/4
Let y(r) be the third derivative of -r**8/1680 + 17*r**7/1050 - 29*r**6/300 + 41*r**5/150 - 53*r**4/120 + 13*r**3/30 + 429*r**2 + 8. Factor y(o).
-(o - 13)*(o - 1)**4/5
Let j(w) = 29*w**2 - 1802*w + 1781. Let v(t) = 495*t**2 - 30630*t + 30275. Let z(g) = 35*j(g) - 2*v(g). Find h, given that z(h) = 0.
1, 357/5
Let g(h) be the first derivative of -h**6/900 + h**4/60 + 9*h**3 - 2*h - 60. Let b(m) be the third derivative of g(m). Factor b(j).
-2*(j - 1)*(j + 1)/5
Let j(y) be the second derivative of 0*y**2 - 4 - 1/14*y**7 - 3/2*y**4 - 4/5*y**6 + 4*y - 39/20*y**5 + 0*y**3. Factor j(v).
-3*v**2*(v + 1)**2*(v + 6)
Let q be 132/6270 - (-4404)/190. Let -2/5*d**2 - q*d + 118/5 = 0. What is d?
-59, 1
Let d(s) be the second derivative of 3*s**5/20 - 5*s**4/2 + 14*s**3 - 36*s**2 - 17*s + 3. Factor d(i).
3*(i - 6)*(i - 2)**2
Suppose -v + 11*d + 8 = 6*d, -4*v = -5*d - 17. Find f such that -57*f + 52*f**3 - 39*f**2 + 63*f**3 + 99 - 118*f**v = 0.
-11, -3, 1
Let a(l) be the third derivative of -l**6/40 + 167*l**5/20 - 331*l**4/8 + 165*l**3/2 + 55*l**2 - 2. Find u, given that a(u) = 0.
1, 165
Let m = -44347854/1687 - -26288. Let u = m + 6738/8435. Factor -4/5*f + f**4 + 2/5*f**3 + 2/5*f**5 - u*f**2 - 1/5.
(f - 1)*(f + 1)**3*(2*f + 1)/5
Factor 1431/2 - 3/2*v**3 + 2859/2*v + 1425/2*v**2.
-3*(v - 477)*(v + 1)**2/2
Let g(t) be the second derivative of -t**6/180 + 13*t**5/40 + 55*t**4/12 - 7139*t**3/9 + 23958*t**2 + 82*t + 32. Factor g(a).
-(a - 22)**3*(a + 27)/6
Let c(y) = -y**3 + y**2 + 7*y - 15. Let n be c(2). Let p be n/((-35)/(-2)) - 2356/(-798). Factor -4*f**3 - p*f**5 + 4/3*f**2 + 0 + 4/3*f - 20/3*f**4.
-4*f*(f + 1)**3*(2*f - 1)/3
Let v(l) = 42759*l - 256552. Let d be v(6). Solve 1/3*o**d - 58/3 - 19*o = 0 for o.
-1, 58
Let i(h) = 8*h**3 - 7*h**2 - 12*h - 4. Let g be i(-1). Let n be 4/18 + (-671)/(-99) + g. Factor 32/7 + n*m**2 - 2/7*m**3 + 24/7*m.
-2*(m - 4)*(m + 2)**2/7
Determine v, given that -1/7*v**5 + 30/7*v**4 - 19*v**3 + 204/7*v**2 + 0 - 100/7*v = 0.
0, 1, 2, 25
Let f = -141/17 + 103652/12495. Let a(p) be the third derivative of 0 + 0*p**6 + 0*p**3 + 0*p + p**2 + 0*p**4 - 1/210*p**5 + f*p**7. Factor a(b).
2*b**2*(b - 1)*(b + 1)/7
Let p(q) = 45141*q - 586831. Let j be p(13). Factor 2*h**3 + 0 + 0*h - 28/5*h**j + 2/5*h**4