y**2 - 17*y**3 + 19*y**3 - 1087*y**2 = 0.
-29, 0, 2
Let f(n) be the second derivative of n**4/30 + 106*n**3/15 - 327*n**2/5 - 94*n. Factor f(c).
2*(c - 3)*(c + 109)/5
Suppose 5*n + 14 = -11, 2*n + 6 = -2*q. Factor -887 + 61*v - 285*v - 2249 + 22*v**q - 26*v**2.
-4*(v + 28)**2
Suppose 28*p = 19*p + 29673. Let z = p - 29611/9. Let 10/9*h - 56/3*h**3 - z*h**2 + 4/9 = 0. Calculate h.
-1/3, -2/7, 1/4
Let y(p) be the second derivative of 1/56*p**7 - 1/40*p**6 + 0 - 9/80*p**5 + 0*p**2 - 201*p + 1/4*p**3 + 1/16*p**4. Solve y(j) = 0.
-1, 0, 1, 2
Find o such that -6/7*o**3 + 960/7 + 184/7*o - 24*o**2 + 2/7*o**4 = 0.
-8, -2, 3, 10
Let u(o) be the third derivative of -1/16*o**5 - 1/2*o**4 + 0 - 2*o**3 + 0*o - 100*o**2 - 1/320*o**6. Factor u(k).
-3*(k + 2)*(k + 4)**2/8
Suppose -5*h + 138 = -2*k, 0*k + 3*k + 109 = 4*h. Factor -116*a - 42*a**2 - 22*a**2 - 15 - 13 - h - 4*a**3.
-4*(a + 1)**2*(a + 14)
Let s(v) be the second derivative of -v**4/4 - 35*v**3/2 - 456*v**2 - 1131*v. Solve s(t) = 0 for t.
-19, -16
Let n(c) be the second derivative of c**6/105 + 27*c**5/14 - 13*c**4/2 + 137*c**3/21 + 1180*c + 5. Factor n(h).
2*h*(h - 1)**2*(h + 137)/7
Factor -7675*u**3 - 312325/2*u + 89125*u**2 - 5/2*u**5 + 475/2*u**4 + 148955/2.
-5*(u - 31)**3*(u - 1)**2/2
Let f(i) be the second derivative of 7*i**4/3 + 48*i**3 + 40*i**2 - 72*i. Find r such that f(r) = 0.
-10, -2/7
Let m(c) be the first derivative of 3/4*c**4 - 63/2*c**2 - 4*c**3 + 176 + 0*c. Factor m(f).
3*f*(f - 7)*(f + 3)
Suppose -930*u = -918*u + 528. Let z be 12/(-594)*u*1/4. Factor 1/9*l**3 - 1/9*l - 1/9*l**4 - z + 1/3*l**2.
-(l - 2)*(l - 1)*(l + 1)**2/9
Let c = -13/301 + 327/602. Let s(x) be the first derivative of -c*x**5 + 5/24*x**6 + 0*x**2 + 0*x - 5/16*x**4 + 5/6*x**3 + 37. Solve s(h) = 0.
-1, 0, 1, 2
Let c(o) be the third derivative of 1 - 2*o**2 + 1/48*o**4 + 0*o**3 - 1/120*o**5 + 0*o. Factor c(a).
-a*(a - 1)/2
Suppose 708 - 6 = 13*w. Let s be 2*13*(w/(-12))/(-9). Factor -19*l**3 + 25*l**2 + 20 + 11*l**3 + 40*l + s*l**3.
5*(l + 1)*(l + 2)**2
Let t(p) be the third derivative of p**7/525 - 3*p**6/50 + p**5/10 + 17*p**4/30 - 3457*p**2. Factor t(b).
2*b*(b - 17)*(b - 2)*(b + 1)/5
Suppose 0 = 46*i - 22*i. Let n(k) be the first derivative of 10 + 2/55*k**5 + i*k + 0*k**2 + 4/33*k**3 + 3/22*k**4. Factor n(m).
2*m**2*(m + 1)*(m + 2)/11
Find i, given that -3/2*i**5 + 3*i**4 + 6*i - 12*i**2 + 9/2*i**3 + 0 = 0.
-2, 0, 1, 2
Let p(r) be the first derivative of -3*r**5/4 - 141*r**4/16 - 29*r**3/2 - 6*r**2 - 3326. Solve p(f) = 0 for f.
-8, -1, -2/5, 0
Let d be (80/960)/((-11)/(-8)). Let k(g) be the second derivative of 4/165*g**6 + 3/55*g**5 + 1/33*g**3 + 1/231*g**7 + d*g**4 + 0 - g + 0*g**2. Factor k(i).
2*i*(i + 1)**4/11
Let w be (-10)/65 - (17 - 1796/182) - (-18)/2. Let -50/7*v + w + 8/7*v**2 = 0. Calculate v.
1/4, 6
Let j = -865 + 869. Suppose 5*c = 4*u - 23, j*c + 4 = u - 10. Suppose 12/7 - 2/7*f**u + 2/7*f = 0. Calculate f.
-2, 3
Let m = -10043/7 - -1435. Let k be ((-24)/(-21) - 4)*1/(-5). Suppose 0 - k*t**2 - m*t**3 - 2/7*t = 0. What is t?
-1, 0
Suppose -p - 84 = -5*f - 696, 3*p - 372 = 3*f. Let d = -119 - f. Factor -2*h**d + 11*h**2 + 4*h**2 + 6*h**3 + h**2.
4*h**2*(h + 4)
Let y = -2736 - -5473/2. Let n = -175 - -207. Factor 8*d - y*d**2 - n.
-(d - 8)**2/2
Let k(y) be the third derivative of 3*y**5/5 + 5*y**4/6 - 92*y**3/3 - 1214*y**2. Factor k(f).
4*(f - 2)*(9*f + 23)
Let u(p) be the first derivative of p**4/10 + 14*p**3/15 - 2*p**2 - 32*p/5 - 1045. Factor u(y).
2*(y - 2)*(y + 1)*(y + 8)/5
Let s = -6130967/9 - -681219. Let z = 7 - 4. Factor 4/9*g + s - 1/9*g**2 - 1/9*g**z.
-(g - 2)*(g + 1)*(g + 2)/9
Let c(s) = -3*s**2 + 261*s - 5206. Let d be c(31). Determine u, given that 0*u + 0 - 2/7*u**5 - 6/7*u**4 + 0*u**d - 4/7*u**3 = 0.
-2, -1, 0
Let z be -7*(-4 + (-75)/(-10))*-4. Suppose 104*d**2 + z + 28*d - 45*d**2 - 57*d**2 = 0. Calculate d.
-7
Let g = 127 + -124. Let -4*r + 179*r**3 + 184*r**3 + 4 - 19*r**2 - 3*r**4 - 377*r**g = 0. Calculate r.
-2, -1, 1/3
Let u = 903 - 875. Let n(f) = f**3 - 3*f**2 - f. Let g(y) = -8*y**3 + 31*y**2 + 18*y. Let v(d) = u*n(d) + 4*g(d). Factor v(o).
-4*o*(o - 11)*(o + 1)
Let f = 1279/5 + -255. Let m(p) = p**3 - 34*p**2 - 69*p - 106. Let g be m(36). Determine y, given that 2/15*y**g + 6/5 + f*y = 0.
-3
Let y(n) = -n - 4. Let r be y(-14). Suppose -14*v + 38 = r. Factor -4*h**3 + 2*h**3 - 10*h**v + 5*h + 10 - 3*h**3.
-5*(h - 1)*(h + 1)*(h + 2)
Let s(h) be the third derivative of -217*h**2 + 0*h + 17/42*h**5 + 0 + 31/735*h**7 - 29/140*h**6 - 1/1176*h**8 - 1/3*h**4 + 0*h**3. Factor s(n).
-2*n*(n - 28)*(n - 1)**3/7
Let f(z) be the first derivative of -z**5/10 + 39*z**4/4 + 79*z**3/6 + 753. Factor f(h).
-h**2*(h - 79)*(h + 1)/2
Suppose -41*b - 228943 + 229107 = 0. Factor 4/7*r**b - 4/7*r**2 + 4/7*r**3 + 0*r + 0 - 4/7*r**5.
-4*r**2*(r - 1)**2*(r + 1)/7
Suppose 101*j - 314 = 253 + 241. Find l, given that -14*l**2 - 1/2*l**4 - 9/2*l**3 - j - 18*l = 0.
-4, -2, -1
Let o(y) = y**2 - 12*y + 12. Let i be o(15). Let k = i + -603/11. Determine m so that k*m**3 - 8/11*m**5 + 0 + 2*m**2 - 2/11*m**4 + 4/11*m = 0.
-1, -1/4, 0, 2
Find x, given that -142/7*x + 110/7*x**2 + 142/7*x**3 + 16/7*x**4 - 18 = 0.
-63/8, -1, 1
Determine m so that 336*m**2 + 7*m**4 - 255*m**3 + 39*m**2 + 110*m + 13*m**4 = 0.
-1/4, 0, 2, 11
Let f(l) = 5*l**3 + 10*l**2 - 7*l - 14. Let x(v) = 6*v**3 + 9*v**2 - 9*v - 15. Let b be (-3 - -1 - -5) + 2 + -2. Let z(k) = b*f(k) - 2*x(k). Factor z(y).
3*(y - 1)*(y + 1)*(y + 4)
Let j be (-15)/(45/(-2)) + (-1592)/12. Let z be 10/(-3) + (-770)/j. Suppose 8*p - 1/2*p**4 - 9*p**2 + 4*p**3 - z = 0. What is p?
1, 5
Factor 16*d - 27/5 + 24/5*d**3 - 78/5*d**2 + 1/5*d**4.
(d - 1)**3*(d + 27)/5
Let m = 361859 + -2530965/7. Factor -2/7*a**2 + 128/7*a - m.
-2*(a - 32)**2/7
Let t(s) be the second derivative of -s**7/189 + 4*s**6/135 + 11*s**5/90 + s**4/9 + s + 385. Solve t(j) = 0.
-1, 0, 6
Suppose -4*d + 263 = -4*a + 39, -20 = 4*a. Factor 15 - 18*i + d*i**2 - 87*i - 3*i**3 + 13 + 25 + 4*i**3.
(i - 1)**2*(i + 53)
Let q be (-7)/(-20)*1040/728. Factor 54*i - 15/2*i**3 - 324 + q*i**4 + 27*i**2.
(i - 6)**3*(i + 3)/2
Let o(j) = -16*j - 252. Let y(n) = -n**2 - 13*n - 252. Let g(l) = 3*o(l) - 2*y(l). Factor g(x).
2*(x - 18)*(x + 7)
Factor -9269*m**4 + 2531088*m + 16347*m**3 + 6*m**5 + 6858432 + 9635*m**4 - 3*m**5 + 319140*m**2.
3*(m + 7)**2*(m + 36)**3
Let b(g) = -g**3 + 2*g**2. Let t be b(1). Suppose -5*f + 4 = 3*m, -5*m + t = -f + 13. Factor 17*d**2 + 12*d - 3 - 5*d**f - 9*d**2 - 12*d**3.
-3*(d - 1)*(d + 1)*(4*d - 1)
Let v be (104/2)/4 - 4. Let r = 2463 + -2457. Find h such that -9/4*h**3 + v*h + r - 3/4*h**4 + 3/2*h**2 = 0.
-2, -1, 2
Let l be (2 - 1)*865/25*5. Factor 3*f**3 - l*f + 173*f + 32*f**2 - 5*f**3.
-2*f**2*(f - 16)
Let z(w) be the second derivative of -w**6/40 - 9*w**5/20 - 11*w**4/8 + 21*w**3/2 - 147*w**2/8 + 210*w - 3. Let z(m) = 0. Calculate m.
-7, 1
Let y(p) be the third derivative of -5/4*p**4 - 6*p - 7/30*p**5 - 1/60*p**6 + 0 - 3*p**3 - p**2. Solve y(c) = 0.
-3, -1
Let y(b) be the third derivative of -b**6/8 + 239*b**5/10 - 283*b**4/8 - 95*b**3 - b**2 - 17*b - 108. Factor y(j).
-3*(j - 95)*(j - 1)*(5*j + 2)
Solve 19*d**2 - 4*d - 5*d**2 + 28*d - 17*d**2 - 384*d = 0.
-120, 0
Let p(m) be the third derivative of -1/110*m**5 - 106*m**2 + 0*m - 2/33*m**3 + 5/132*m**4 + 0. Factor p(r).
-2*(r - 1)*(3*r - 2)/11
Let k(v) = -16*v - 236. Let d be k(-21). Suppose 29 + 0*t**2 + 34*t - 5 - t**2 + 3*t**2 - d = 0. Calculate t.
-19, 2
Let k = 428399 - 428399. Find x such that 1/2*x**3 + k*x**4 + 0 - 1/4*x**5 - 1/4*x + 0*x**2 = 0.
-1, 0, 1
Let f(a) be the second derivative of -a**4/24 - 118*a**3/3 - 13924*a**2 + 584*a. Let f(t) = 0. What is t?
-236
Let c = -220348 + 1101753/5. Factor -c*l**3 + 0 + 0*l - 14/5*l**2 + 1/5*l**4.
l**2*(l - 14)*(l + 1)/5
Let p = -238340 - -238362. Let p*g + 28 + 32/7*g**2 + 2/7*g**3 = 0. Calculate g.
-7, -2
Let a(p) be the second derivative of -p**5/20 - 17*p**4/12 + 19*p**3/3 + p**2 - 27*p. Let u be a(-19). Solve 280 - 3*q**3 - 280 + 6*q**u = 0 for q.
0, 2
Let m(a) = -a**3 + a. Let j(f) = 26*f**2 + 55*f - 3. Let v(k) = -j(k) - m(k). Let w be v(28). Let 6/7*q**2 - 4/7*q + 0 - 2/7*q**w = 0. Calculate q.
0, 1, 2
Let u(z) be the first derivative of 0*z + 5/2*z**3 - 3/20*z**5 + 234 + 9*