s x?
-2/7, 0, 2
Suppose -17*q = 1247 - 193. Let y be (190 + -186)/(q/(-48) - 1). Solve -2/7*n**5 + 26/7*n**3 + 72/7 - y*n + 2/7*n**2 - 2/7*n**4 = 0 for n.
-3, 1, 2
Let q be (-256)/(-300)*10*((-23)/(-6) + -3). Find r, given that 2/9*r**2 - q*r + 512/9 = 0.
16
Let d(z) be the third derivative of z**6/12 - 179*z**5/12 - 75*z**4/4 - 402*z**2. Determine y so that d(y) = 0.
-1/2, 0, 90
Factor 50*r**3 - 22*r**3 - 23*r**3 - 64*r + 411*r + 165*r**2 + 253*r + 580.
5*(r + 2)**2*(r + 29)
Suppose -11200 = 50*k - 550. Let v = 215 + k. Factor 0 - 9/4*d**3 - 7/4*d**4 - 1/2*d**v + 0*d.
-d**2*(d + 1)*(7*d + 2)/4
Let a = -125 - -125. Suppose -4*d + 18 = -2*u, -4*u - 23 = d - 5. Suppose -1/5*v**d + 1/5*v + a = 0. Calculate v.
0, 1
Determine x, given that -95*x**2 - 1008*x - 4*x**5 + 40*x**4 + 182*x**3 - 26*x**2 + 25*x**2 + 54*x**3 = 0.
-3, 0, 2, 14
Let h(c) be the first derivative of -c**3/12 - 13*c**2/4 - 165*c/4 - 8950. Factor h(b).
-(b + 11)*(b + 15)/4
Let h be (1482/(-95))/(1 + 224/(-220)). Let c = -858 + h. Solve 1/2*q**4 + 0*q**2 - 2*q + c + 3/2*q**3 = 0.
-2, 0, 1
Let h(q) be the first derivative of 0*q**2 + 3/50*q**6 - 21/100*q**5 - 2/15*q**3 + 11*q + 4/15*q**4 - 5. Let w(k) be the first derivative of h(k). Factor w(c).
c*(c - 1)*(3*c - 2)**2/5
Let m(q) be the third derivative of -q**5/30 + q**4/6 + 5*q**3 - 2*q**2 - 23. Let f be m(5). Factor f - 4/21*g - 2/3*g**3 - 6/7*g**2.
-2*g*(g + 1)*(7*g + 2)/21
Let q(b) = -b**3 + 2*b**2 + b + 1. Let z(n) = 8*n**3 - 15*n**2 - 19*n - 7. Suppose 126 = 6*j - 0*j. Let m(l) = j*q(l) + 3*z(l). Factor m(w).
3*w*(w - 4)*(w + 3)
Let s(n) = n**3 - 10*n**2 - 29*n. Let b(z) = 3*z**3 - 28*z**2 - 84*z - 2. Let y(a) = -6*b(a) + 17*s(a). Solve y(p) = 0.
-4, -1, 3
Let h(b) = -2 - 7 + 8. Let z(r) = -22 - 32*r**3 - 14*r**4 - 4*r + 0*r - 22*r**2 + r - r. Let c(y) = -44*h(y) + 2*z(y). Solve c(t) = 0.
-1, -2/7, 0
Let n(y) be the first derivative of y**6 + 69*y**5/5 + 243*y**4/4 + 85*y**3 + 75*y**2/2 - 2376. Let n(s) = 0. Calculate s.
-5, -1, -1/2, 0
Let t(c) be the first derivative of -1/96*c**4 + 0*c - 1/240*c**5 - 3*c**2 + 1/12*c**3 - 16. Let x(k) be the second derivative of t(k). Factor x(f).
-(f - 1)*(f + 2)/4
Let a(o) = -6*o + 3. Let x(h) = -h**3 + 16*h**2 - 14*h - 12. Let q be x(15). Let y(g) = q - 10 - g**2 + 11*g + 3 - 1. Let t(c) = 5*a(c) + 3*y(c). Factor t(s).
-3*s*(s - 1)
Suppose -y - 2*s + 4*s = -81, 2*y = 3*s + 159. Factor -4*x**4 + 27*x - y*x**3 + 7 + 83*x**3 - 35*x - 3.
-4*(x - 1)**3*(x + 1)
Let s(g) be the first derivative of -g**5 + 55*g**4/2 + 125*g**3 + 10*g**2 - 500*g - 604. Factor s(v).
-5*(v - 25)*(v - 1)*(v + 2)**2
Let k(u) be the first derivative of -u**2 + 13*u + 2. Let y be k(3). Factor 0*q + 3*q + y*q**2 - 3*q**2 - 4 + 3*q.
2*(q + 2)*(2*q - 1)
Let u(l) be the third derivative of -l**5/210 - 169*l**4/84 + 176*l**3/3 - 9*l**2 - 3*l - 23. Factor u(s).
-2*(s - 7)*(s + 176)/7
Let k be (-138)/(-72) - (-2)/(-8). Suppose 3*q - 50 = 4*d, 2706*q = 2702*q - 3*d - 25. Factor 2/3 + k*w**3 + 1/3*w**4 + 7/3*w + 3*w**q.
(w + 1)**3*(w + 2)/3
Let f(s) be the first derivative of -7/9*s**2 + 66 + 10/27*s**3 - 1/18*s**4 + 2/3*s. Let f(x) = 0. What is x?
1, 3
Let g(d) be the third derivative of -d**6/540 + 146*d**5/135 + d**4/108 - 292*d**3/27 - d**2 - 7*d - 43. Let g(f) = 0. Calculate f.
-1, 1, 292
Let b(r) be the third derivative of 57*r**2 - 25/24*r**4 - 5*r**3 + 0 + 0*r - 1/12*r**5. Factor b(v).
-5*(v + 2)*(v + 3)
Let c = 7405 - 7401. Let s(b) be the second derivative of -1/5*b**2 - 1/20*b**3 - b + 1/120*b**c + 0. Determine x so that s(x) = 0.
-1, 4
Let r(u) be the third derivative of 3*u**2 + 0*u**3 + 0*u**4 + 0*u - 40 + 1/15*u**5 - 1/30*u**6. Solve r(h) = 0 for h.
0, 1
Suppose 0 = -2*w - 3*m - 237, -3*m + 99 = 5*w + 669. Let i = -55 - w. Factor 2*a**5 + 3*a - 4 + 24*a**2 + 43*a**4 + a**4 - i*a**3 + a - 14*a**5.
-4*(a - 1)**4*(3*a + 1)
Let v(h) be the second derivative of h**6/30 - 19*h**5/12 - 17*h**4/18 + 32*h**3/9 - 58*h + 14. Factor v(m).
m*(m - 32)*(m + 1)*(3*m - 2)/3
Let y be ((-30)/5)/6*((-40)/(-15) + -3). Let p(d) = 3*d + 18. Let c be p(-6). Suppose -y*s - 1/3*s**3 + c - 2/3*s**2 = 0. Calculate s.
-1, 0
Let f(m) = -3*m**4 - 30*m**3 + 39*m**2 + 90*m + 12. Let d(z) = 2*z**4 + 32*z**3 - 38*z**2 - 88*z - 10. Let x(k) = 6*d(k) + 5*f(k). Let x(b) = 0. What is b?
-1, 0, 2, 13
Factor 2*n**3 + 25281/8 + 6625/8*n + 71*n**2.
(n + 9)*(4*n + 53)**2/8
Let -20/3*p**2 + 217/3*p - 1/3*p**3 - 196/3 = 0. Calculate p.
-28, 1, 7
Let p = -1841407 + 1841543. Suppose 16*n + 81/4*n**5 + p*n**2 - 153*n**4 + 0 + 253*n**3 = 0. Calculate n.
-2/9, 0, 4
Let p be (-14 - (-7084)/539)/(15/(-7)). Let -p*v**2 - 2 + 12/5*v = 0. What is v?
1, 5
Let h(l) be the first derivative of 3*l**4/4 - 1811*l**3 + 2462505*l**2/2 - 2457075*l - 12462. Find y, given that h(y) = 0.
1, 905
Determine x so that -17204*x + 4*x**2 + 9045775 + 4556*x - 4278934 + 5231403 = 0.
1581
Let t(b) be the second derivative of -b**5/130 + 110*b**4/13 + 661*b**3/39 - 94*b. Factor t(d).
-2*d*(d - 661)*(d + 1)/13
Let k = 8160202/13 - 627670. What is a in -158/13*a**3 - 112/13 - 40*a - k*a**2 - 14/13*a**4 = 0?
-7, -2, -2/7
Let j(n) = 25*n**2 + 621*n - 5724. Let o be j(-32). Find v, given that 0 + 36*v**2 + 3/8*v**o - 60*v - 27/4*v**3 = 0.
0, 4, 10
Let v be (-170)/(-300) + (-6)/(-60). Let a(p) be the first derivative of 8*p - 6*p**2 + v*p**3 + 3/4*p**4 - 1/5*p**5 - 17. Factor a(w).
-(w - 2)**2*(w - 1)*(w + 2)
Solve -538/13*r**2 + 2*r**3 + 7200/13 - 6690/13*r + 2/13*r**4 = 0 for r.
-15, 1, 16
Solve -18*r**4 - 64/3*r**2 + 38*r**3 + 8/3*r**5 + 0 - 8*r = 0 for r.
-1/4, 0, 2, 3
Suppose -760*z - 530*z**2 + 154*z**4 - 552*z**2 - 208 + 1094*z**2 + 478*z**3 = 0. Calculate z.
-2, -2/7, 13/11
Find f such that 8*f**2 - 76*f + 1/4*f**5 + 18*f**3 - 96 + 4*f**4 = 0.
-8, -6, -2, 2
Let t(c) = 2*c**2 + 51*c - 25. Let f(s) = s + 5. Let p(q) = 10*f(q) + 2*t(q). Factor p(b).
4*b*(b + 28)
Let u be 6/(-9) + (-13)/(-15). Let h be -13 + 22 + (-14 - -5). Solve -u*d + 1/5*d**3 + h + 0*d**2 = 0.
-1, 0, 1
Let -2 - 6/5*h - 9/10*h**4 + 23/10*h**2 + 1/5*h**5 + 2/5*h**3 = 0. Calculate h.
-1, 2, 5/2
Let u(d) = -14*d + 382. Let l be u(27). Let b(a) be the second derivative of 0 + 0*a**2 + 3/160*a**5 + 4*a + 0*a**3 - 1/48*a**l - 1/240*a**6. Factor b(p).
-p**2*(p - 2)*(p - 1)/8
Suppose 0 = -362*w + 360*w - 460. Let g be 20/6 + w/105. Suppose -4/7*f**2 + 0 + g*f = 0. Calculate f.
0, 2
Let l(i) = -13*i**3 + 2*i**2 + 1. Let g be l(1). Let r be 2/g + (-663)/(-765). Find o such that r*o**2 - 1/2 - 11/6*o = 0.
-1/4, 3
Let l(j) be the third derivative of -j**6/360 - 173*j**5/45 - 29929*j**4/18 + 3978*j**2. Factor l(v).
-v*(v + 346)**2/3
Let n be -2 + (-5 - ((-6965)/1162 + -1)). Let m = 1243/332 - n. Factor -9/2*y + m*y**2 + 3/4.
3*(y - 1)*(5*y - 1)/4
Let t be 5 + (-4)/18 + 4/18. Suppose -t*d = -f + 61, 0 = -4*f + 9*f + 3*d - 389. What is n in f + 4*n - 38 + 4*n**5 - 38 - 8*n**3 = 0?
-1, 0, 1
Suppose 5*j = -4*m - 12, -j - 8*m + 267 = 291. Factor z + j + 1/2*z**3 - 3/2*z**2.
z*(z - 2)*(z - 1)/2
Let h(n) be the second derivative of 5*n**4/4 - 10*n**3/3 - 75*n**2/2 + n - 2221. Factor h(j).
5*(j - 3)*(3*j + 5)
Let l(j) be the first derivative of -240*j**2 - 49/5*j**5 - 1012/3*j**3 - 105*j**4 - 189 - 64*j. Factor l(h).
-(h + 4)**2*(7*h + 2)**2
Let n(d) be the first derivative of d**8/672 - d**7/140 - 3*d**6/80 - d**5/24 - 3*d**2/2 + 2*d - 150. Let l(v) be the second derivative of n(v). Solve l(y) = 0.
-1, 0, 5
Let x be (156/(-44))/(1 + 3 - 3) - (-10 - -5). Let x*q**3 - 8/11*q - 30/11*q**2 + 40/11 - 2/11*q**4 = 0. Calculate q.
-1, 2, 5
Let m(k) be the second derivative of k**5/5 - 629*k**4 + 594090*k**3 - 1778498*k**2 - 1530*k - 1. Solve m(f) = 0 for f.
1, 943
Let n(z) be the second derivative of 1/6*z**5 + 83 + 10*z**3 + 45/2*z**2 + 25/12*z**4 + z. Solve n(v) = 0 for v.
-3, -3/2
Let x(r) = r**2 - 23*r - 20. Let y be x(24). Suppose 4 = 2*w, -4*t + 4*w - 6*w = -y. Solve t - 6/5*f**3 + 8/5*f + 2/5*f**5 - 8/5*f**2 + 4/5*f**4 = 0.
-2, 0, 1
Let v be 20/2 + 2/(-27) + 154020/34425. Factor -42/5*m + 3/5*m**2 + v.
3*(m - 12)*(m - 2)/5
Let z(m) be the second derivative of m**6/15 - 13*m**5/5 + 63*m**4/2 - 72*m**3 - 432*m**2 - 542*m. Factor z(n).
2*(n - 12)**2*(n - 3)*(n + 1)
Let f = 154379/3 + -50602. Let d = -857 + f. Let d*p**2 + 2/3*p + 0 = 0. Wha