3*k**2 + k - 31*k + 91 - 19 + l = 0.
5
Determine u, given that 59/2*u**2 + 3*u**4 - 65/2 + 83/2*u**3 - 83/2*u = 0.
-13, -1, -5/6, 1
Let h(r) be the first derivative of -r**6/4 - 21*r**5/5 + 153*r**4/8 - 2*r**3 - 51*r**2 + 580. Solve h(g) = 0.
-17, -1, 0, 2
Let s be 6 + -10 + 7 - -1. Factor 133 + 187 + 10*l**3 + 440*l - 216*l**4 - 217*l**4 + 180*l**2 + 428*l**s.
-5*(l - 8)*(l + 2)**3
Let o = -151/279 - -37/62. Let r(n) be the first derivative of -2/15*n**5 - o*n**6 + 0*n**2 - 12 + 0*n + 0*n**3 - 1/12*n**4. Factor r(f).
-f**3*(f + 1)**2/3
Suppose -17 = 5*j - 122. Suppose a = -18 + j. Factor 3*b - 5*b**2 + 3*b**a + b**4 + 0*b - b - b**5.
-b*(b - 1)**3*(b + 2)
Let y(t) = -2*t**2 - 5*t - 13. Let k(f) = -2*f**2 + f - 5*f - 4 - 10. Suppose 5*u = 3*d + 33, -2*u + 8 = -3*d - 16. Let s(p) = d*y(p) + 5*k(p). Factor s(q).
2*(q + 1)*(q + 4)
Let s(l) = -3*l - 14. Let j be s(-6). Determine v, given that j*v - 4*v**3 - 212 + 4*v**2 - 4*v**4 + 212 = 0.
-1, 0, 1
Suppose 3*r - 16 = k - 2*k, 5*r = k + 16. Factor 312*p + 0*p**r - 168 + 26*p**3 + 24 - 189*p**2 - p**4 - 4*p**2.
-(p - 12)**2*(p - 1)**2
Let p = 13 + -11. Let f be (-1)/2 + (-16)/(-20) + (-1)/(-5). Suppose 343/2 + 147/2*v + 21/2*v**p + f*v**3 = 0. Calculate v.
-7
Let q(s) = 86*s**3 - 245*s**2 - 244*s - 15. Let i(g) = 945*g**3 - 2680*g**2 - 2685*g - 165. Let m(d) = 6*i(d) - 65*q(d). Let m(r) = 0. What is r?
-1, -1/16, 3
Let n be -2 + 5 - (-3 + 11). Let g be (-2 - (n + 4)) + 3/2. Let -1/2*h**5 + 0*h + 1/2*h**4 + 0 - 1/2*h**2 + g*h**3 = 0. What is h?
-1, 0, 1
Let c = 115159786/185 + -622488. Let r = -2/555 - c. Determine h, given that -2*h**5 + 0 + r*h + 26/3*h**4 - 26/3*h**2 - 2/3*h**3 = 0.
-1, 0, 1/3, 1, 4
Let i(q) be the second derivative of 4*q - 68/3*q**3 - 67/3*q**4 + 161/10*q**5 - 49/3*q**7 + 392/15*q**6 - 8*q**2 - 3. Factor i(k).
-2*(k - 1)**2*(7*k + 2)**3
Let v = -10/2903 + -4383500/8709. Let g = -502 - v. Suppose -g*r**3 + 4/3*r**5 + 0*r + 4/3*r**2 + 0 - 4/3*r**4 = 0. What is r?
-1, 0, 1
Let j(z) = -5*z**2 - 259*z - 3624. Let o(h) = 36*h**2 + 1827*h + 25365. Let x(r) = 15*j(r) + 2*o(r). Solve x(t) = 0.
-55, -22
Suppose 32*b + 2*z - 10 = 36*b, 25 = -2*b + 5*z. Let h(m) be the second derivative of -36*m - 7/6*m**4 + b*m**5 + 0*m**2 + 1/15*m**6 + 0 + 2*m**3. Factor h(s).
2*s*(s - 2)*(s - 1)*(s + 3)
Determine b, given that 415*b - 840 + 5/2*b**2 = 0.
-168, 2
Let t(j) be the second derivative of -j**4/120 + 4*j**3/15 + 4*j**2 + 3*j + 371. Factor t(k).
-(k - 20)*(k + 4)/10
Let o = -277934/7 - -4169024/105. Suppose 0 = 2*p + p - 12. Factor -2/15*b**p + o*b**3 + 0 + 2/3*b**2 + 2/5*b.
-2*b*(b - 3)*(b + 1)**2/15
Let c be (1 - 1)*3/9. Let r = c + 4. Find t such that -6*t**2 + 3*t**2 - 25*t**5 - t**3 + 3*t**r - 2*t**3 + 28*t**5 = 0.
-1, 0, 1
Let v be 8 + (205/(-410))/(((-10)/24)/(-5)). What is q in 26/7*q - 8/7*q**3 - 18/7*q**5 + 40/7*q**4 - 4/7 - 36/7*q**v = 0?
-1, 2/9, 1
Solve -9024/5*j - 191/5*j**2 - 1/5*j**3 + 9216/5 = 0 for j.
-96, 1
Let w(a) be the second derivative of a**5/4 - 430*a**4 + 442035*a**3/2 + 1336445*a**2 - 43*a + 57. Find i, given that w(i) = 0.
-2, 517
Let h(n) = -n**2 - 11*n - 12. Let m be h(-5). Let r be m/(-15)*-1*(-20)/(-12). Factor 0 + 3/8*k**3 - 3/8*k**r + 0*k.
3*k**2*(k - 1)/8
Determine h so that 80/3*h**4 - 2/3*h**5 + 3464/3*h**2 - 6176/3*h - 274*h**3 + 1152 = 0.
1, 4, 27
Let p = -13385/1586497 - 1/6809. Let w = p - -480/1631. Factor w*k**4 - 4/7*k - 2/7*k**2 + 0 + 4/7*k**3.
2*k*(k - 1)*(k + 1)*(k + 2)/7
Factor 220 + 1/3*l**3 - 128/3*l**2 - 533/3*l.
(l - 132)*(l - 1)*(l + 5)/3
Let k = -130032 + 650174/5. Factor -2/5*x**2 - k*x**3 + 0 - 2*x**5 - 22/5*x**4 + 0*x.
-2*x**2*(x + 1)**2*(5*x + 1)/5
Factor 10658 - 286/3*q**2 + 2/3*q**3 + 9782/3*q.
2*(q - 73)**2*(q + 3)/3
What is h in 1188*h**3 + 2*h**5 - 1024 - 179*h**4 - 27*h**4 - 2344*h**2 + 1552*h + 1024 = 0?
0, 2, 97
Let j(q) be the first derivative of q**4/4 + 13*q**3/3 - q**2 - 6*q + 34. Let i be j(-13). Suppose -p**3 + 15 - i - 4*p**3 - 25*p + 15 + 20*p**2 = 0. What is p?
1, 2
Let m(c) be the first derivative of -5*c**3/3 + 1135*c**2/2 + 3450*c + 2216. Solve m(p) = 0 for p.
-3, 230
Let y(h) = -3*h**2 - 2*h + 1. Let w be y(1). Let m be (-126)/4*(w - (-2)/1). Factor -6*b - m*b**2 + 35*b**2 + 24 + 25*b**2.
-3*(b - 2)*(b + 4)
Let s(f) be the third derivative of f**5/80 + 501*f**4/32 + 499*f**3/4 + f**2 - 918*f + 2. Factor s(u).
3*(u + 2)*(u + 499)/4
Factor -45*n + 150 - 129 + 623*n**2 - 596*n**2 - 3*n**3.
-3*(n - 7)*(n - 1)**2
Let c(y) be the third derivative of -y**6/40 - 37*y**5/20 - 435*y**4/8 - 1575*y**3/2 + 1264*y**2. Factor c(l).
-3*(l + 7)*(l + 15)**2
Determine u so that 3/2*u - 1/2*u**2 - 1/6*u**3 - 5/6 = 0.
-5, 1
Suppose -135*r + 17*r = 92*r - 420. Factor 26/5*l - 2*l**r - 2/5*l**3 - 14/5.
-2*(l - 1)**2*(l + 7)/5
Let n(x) be the second derivative of 25/18*x**3 + 11/60*x**5 + 1/90*x**6 + 4/3*x**2 + 3/4*x**4 - 96*x + 2. Find f, given that n(f) = 0.
-8, -1
Let i be (10 + 234/(-312)*(-112)/(-10))*10/8. Factor -2/13*n**i + 16/13*n + 18/13.
-2*(n - 9)*(n + 1)/13
Find m, given that -12931*m + 190*m**4 - 74*m**3 - 190*m**2 + 5*m**5 - 126*m**3 + 13126*m = 0.
-39, -1, 0, 1
Let n(j) be the third derivative of -11/8*j**4 - 1/20*j**5 - 9*j**3 - 84*j**2 + 0 + 0*j. Solve n(z) = 0 for z.
-9, -2
Let u(h) be the third derivative of -1/120*h**6 + 0 - 81/8*h**4 + 243/2*h**3 + 0*h + 41*h**2 + 9/20*h**5. Factor u(l).
-(l - 9)**3
Suppose 5*z = 554 - 14. Factor -j + 450 - z + 37*j + 2*j**2 - 180.
2*(j + 9)**2
Determine y, given that 6*y - 1/3*y**2 + 40/3 = 0.
-2, 20
Suppose 5*p - 10 = 0, -d + 5*d - 54 = p. Let x(m) be the second derivative of d*m + 0 - 1/4*m**2 - 1/8*m**3 - 1/48*m**4. Solve x(f) = 0.
-2, -1
Solve 1760*x**2 + 784 + 7052/3*x - 3*x**3 = 0 for x.
-2/3, 588
Let z be -2*90/(-2)*50/875. Let t(n) = -27*n - 402. Let v be t(-15). Let 3/7*s**3 + 48/7*s - v*s**2 - z = 0. Calculate s.
2, 3
Suppose 13 = 12*g - 11. Let a = 327 - 324. Let 0 - 2*t + 10/9*t**a + 2/9*t**4 + 2/3*t**g = 0. Calculate t.
-3, 0, 1
Factor 59/7*y + 1/7*y**2 - 36.
(y - 4)*(y + 63)/7
Let a = -938 + 941. Let d be 442/136*a/(-39)*-2. Find j, given that d*j**2 - 1/2*j**3 + 1/4*j - 1/4*j**4 + 1/4*j**5 - 1/4 = 0.
-1, 1
Let f(a) be the third derivative of a**5/20 - 55*a**4/4 - 112*a**3 - 4*a**2 - 14*a. Determine u, given that f(u) = 0.
-2, 112
Factor 5355*l**2 + 4824069415 - 9558675*l - l**3 + 2574492494 - 1711150284.
-(l - 1785)**3
Let a = -118 - -61. Let i be a/(-21) - (-4)/14. Factor 9*z - 14*z + 9*z - z**i.
-z*(z - 2)*(z + 2)
Let r(l) be the second derivative of 18/5*l**3 - 9 - 27/5*l**2 - 1/75*l**6 - 6/5*l**4 + 1/5*l**5 - 2*l. Suppose r(n) = 0. Calculate n.
1, 3
Let o be (-8)/6 + (-1623607)/627. Let n = -2581 - o. What is s in 2/11*s**5 - 2*s**4 + 84/11*s**3 - 54/11*s + 162/11 - n*s**2 = 0?
-1, 3
Let s(u) = 3645*u + 80192. Let z be s(-22). Determine q so that -16/3*q - 1/2*q**z - 10/3 = 0.
-10, -2/3
Solve 44*f - 38/3*f**2 - 6*f**4 - 226/9*f**3 - 2/9*f**5 + 0 = 0 for f.
-22, -3, 0, 1
Let q(l) be the third derivative of -l**5/150 - 269*l**4/10 - 217083*l**3/5 + 733*l**2. Factor q(z).
-2*(z + 807)**2/5
Factor 67*g**2 - 26*g - 4 + 29*g - 967*g**2 - 86*g - 37*g.
-4*(15*g + 1)**2
Suppose 3*r = -5*q + 9 + 2, 4*q + 2 = 3*r. Determine p so that -10*p**3 - 35*p**2 + 165*p + 1089 + 13*p**3 - 22*p**r = 0.
-3, 11
Let j(y) be the first derivative of y**6/57 + 18*y**5/95 + y**4/38 - 54*y**3/19 + 70*y**2/19 - 2662. Find v such that j(v) = 0.
-7, -5, 0, 1, 2
Let l be (6/5)/((-18)/(-20)). Suppose 956*y - 981 - 2624 - 219 = 0. Find w, given that -4/3*w**5 + l*w**y + 0*w + 20/3*w**3 + 0 + 4*w**2 = 0.
-1, 0, 3
Let t = 131 - 125. Suppose -7*l + 34 = t. Suppose -5*o**3 + 2*o**3 - 3*o**2 - 3*o**2 - 2*o**l + 5*o**4 = 0. What is o?
-1, 0, 2
Let v = -8747634/11 + 794600. Let f = v + 640. Suppose 0*j**2 + 0 + 12/11*j**3 + f*j**4 + 0*j - 6/11*j**5 = 0. Calculate j.
-1, 0, 2
Suppose 4*s = 3*m - 8 + 2, 0 = -3*m + 18. Factor -9/7*v - 1/7 - 24/7*v**2 - 16/7*v**s.
-(v + 1)*(4*v + 1)**2/7
Suppose 72 = 3*d + 69. Let y be (1 - d)/(74 - 75). Factor 0 - 6/5*h**2 + y*h + 2/5*h**3.
2*h**2*(h - 3)/5
Let i be ((-5)/(-20)*-6)/(3/8). Let q be ((-422)/(-2) - i)*1 - 3. Solve j**2 - 2 - q*j + 0 + 213*j = 0.
-2, 1
Let y(q) be the first derivative of -q**4/4 - 39*q**3/4 + 379*q**2/8 - 129*q/2 + 4768. Factor y(i).
-(i - 2)*