= 0.
-1, 1, 4
Let c be (52/(-54))/((-148)/(-222)) + 5. Factor 2/9*x**3 + 14/9*x**2 + 8/3 + c*x.
2*(x + 2)**2*(x + 3)/9
Let i(s) be the first derivative of s**4/6 - 2*s**3/3 + 2*s**2/3 + 1132. Factor i(d).
2*d*(d - 2)*(d - 1)/3
Let t(h) be the third derivative of h**5/150 - 272*h**4/15 + 295936*h**3/15 + 313*h**2. Solve t(z) = 0 for z.
544
Suppose -2*f + 2 = 22, -3*m + 5*f + 56 = 0. Factor 15/2*w**4 - 9/2*w**3 - 3*w**m + 0 + 0*w.
3*w**2*(w - 1)*(5*w + 2)/2
Suppose 71*i + 5*c = 72*i + 38, -5*i + 66 = 7*c. What is f in -1/6*f**3 - 1/2*f - 2/3*f**i + 0 = 0?
-3, -1, 0
Let j(m) = 2*m + 4. Let s be j(0). Let t(d) = -3*d - 8*d**2 + 12 + 4*d**2 - 3*d**2. Let w(k) = 3*k**2 + k - 6. Let p(a) = s*t(a) + 10*w(a). Factor p(x).
2*(x - 3)*(x + 2)
Let l(u) be the second derivative of -3*u**8/2240 + u**7/168 - u**6/240 - u**5/40 + 25*u**4/12 - 3*u + 2. Let t(z) be the third derivative of l(z). Factor t(h).
-3*(h - 1)**2*(3*h + 1)
Let q be (-44517)/(-72) + (-26)/(-78). Let w = 619 - q. Factor 0 - 27/8*n**3 - w*n**5 - 15/8*n**4 - 3/4*n - 21/8*n**2.
-3*n*(n + 1)**3*(n + 2)/8
Let d(z) be the first derivative of 0*z**2 - 187 + 0*z - 5/9*z**3 - 55/12*z**4. Factor d(r).
-5*r**2*(11*r + 1)/3
Suppose 0 = -35*x + 30 + 40. Suppose -x*p - 12 = -5*h - 5*p, -4*p - 1 = h. Find a, given that 0 + 0*a + 2/17*a**4 + 0*a**h - 2/17*a**2 = 0.
-1, 0, 1
Factor 1131/7*y**3 + 3/7*y**4 + 19097/7*y**2 + 0 + 13182*y - 1/7*y**5.
-y*(y - 42)*(y + 13)**3/7
Let v = -20 + 202. Let g be 13/(v/(-49))*16/(-42). Solve 4/3 + 4/3*s**3 - g*s**2 - 4/3*s = 0 for s.
-1, 1
Solve 8/3*v**2 - 38/15*v**3 + 8/15*v + 0 - 98/5*v**5 - 364/15*v**4 = 0.
-1, -2/7, 0, 1/3
Let n = -319629 - -2876662/9. Factor 56/9*g + n*g**2 + 784/9.
(g + 28)**2/9
Let m = 49891/6 + -8311. Let c(y) be the second derivative of 0 + 22*y + 3/4*y**5 + 15/2*y**3 + m*y**4 + 5*y**2. Let c(i) = 0. Calculate i.
-2, -1, -1/3
Let o(v) = -8*v**3 + 26*v**2 - 10*v - 2. Let d(m) = -8*m**3 + 27*m**2 - 11*m - 1. Suppose -9 + 27 = -3*n. Let i(z) = n*d(z) + 7*o(z). Factor i(g).
-4*(g - 2)*(g - 1)*(2*g + 1)
Let c(q) be the first derivative of 3*q**4/28 + 12*q**3/7 + 51*q**2/14 - 90*q/7 + 3801. What is o in c(o) = 0?
-10, -3, 1
Factor -137*a**2 - 1600 - 124*a**2 - 127*a**2 + 75*a**2 + 4*a**3 + 1616*a - 103*a**2.
4*(a - 100)*(a - 2)**2
Let s(y) be the second derivative of -15*y**4/28 + 11*y**3/14 + 6*y**2/7 - 4*y + 116. Suppose s(p) = 0. What is p?
-4/15, 1
Factor 750*v**2 - 2246/3*v + 748/3 - 754/3*v**3 + 2/3*v**4.
2*(v - 374)*(v - 1)**3/3
Let y(a) = 2*a**2 - 8*a - 15. Suppose 30 = 22*c - 36. Let f(s) = -s**2 + s + 3. Let r(p) = c*f(p) + y(p). Let r(h) = 0. Calculate h.
-3, -2
Let -172/5*j**5 + 1328/5*j**2 + 0 + 1056/5*j**3 - 64/5*j - 508/5*j**4 = 0. Calculate j.
-4, -1, 0, 2/43, 2
Suppose j - 6*j = 4*y - 31, -17 = -2*y - 3*j. What is t in -53*t**2 + 6*t**3 + 26*t**3 - 4*t**y + 53*t**2 = 0?
0, 8
Let m(l) = 31*l**2 - 796*l + 48. Let f(b) = b**2 - 42*b. Let s(p) = -42*f(p) + 2*m(p). Find d, given that s(d) = 0.
-8, -3/5
Let z = 2185 + -2157. Let n(p) be the first derivative of 3/10*p**4 + 4/15*p**3 + 0*p + 0*p**2 - z + 2/25*p**5. Factor n(f).
2*f**2*(f + 1)*(f + 2)/5
Let l(p) be the first derivative of -14*p**5/25 + 397*p**4/10 - 932*p**3/5 + 1052*p**2/5 + 848*p/5 + 2101. Suppose l(b) = 0. What is b?
-2/7, 2, 53
Let j(b) be the second derivative of -b**5/160 + 41*b**4/96 - 299*b**3/48 - 341*b**2/16 - 1096*b. Solve j(c) = 0.
-1, 11, 31
Let p = -680 + 1012. Find m, given that -p*m - 4*m**3 - 17*m**2 - 2*m**3 - 26*m**2 + 343*m + 2*m**3 = 0.
-11, 0, 1/4
Solve -28/3 - 16/3*g - 1/3*g**2 = 0 for g.
-14, -2
Let y = 413/141 + -37/141. Let z(b) be the third derivative of 8/5*b**5 + 0*b + 4/105*b**7 + y*b**3 + 13/30*b**6 + 17/6*b**4 + 0 + 47*b**2. Factor z(c).
4*(c + 1)**2*(c + 4)*(2*c + 1)
Suppose 1040/9*y + 248/9*y**2 + 352/3 - 4/9*y**3 = 0. Calculate y.
-2, 66
Find o such that -20*o - 62*o**3 + 57*o**3 + 42*o**4 - 37*o**4 - 60*o**2 - 26 + 106 = 0.
-2, 1, 4
Let o be 205/(-2)*(-2384)/(-745). Let b be ((-82)/o)/((-2)/(-40)). Suppose 4/11*w**3 - 2/11 + 2/11*w**b - 4/11*w**2 + 6/11*w**4 - 6/11*w = 0. Calculate w.
-1, 1
Let z(t) be the second derivative of 0 - 352*t - 1/48*t**4 - 392*t**2 - 14/3*t**3. Solve z(l) = 0.
-56
Solve 295 + 17 - 36*z - 11*z - 96*z - 3*z**3 - 115*z + 57*z**2 = 0 for z.
2, 4, 13
Let a be 64/(-6)*(-96)/128. Let d be 2 - a/(-9)*-2. Let 4/9*v + d*v**2 + 2/9 = 0. What is v?
-1
Let z be (-49)/(-7) + -8 - -30. Factor 5*r**4 + 6*r**2 - 5*r**2 + 1 + 5 - 1 - 20*r - 20*r**3 + z*r**2.
5*(r - 1)**4
Let m be (-9 - (-7 + -2)) + 8. Suppose -3*c = v - 7*c - m, 0 = -3*v - 3*c - 6. Factor 8/3*t**3 + 0*t**4 + v*t**2 + 0 - 4/3*t**5 - 4/3*t.
-4*t*(t - 1)**2*(t + 1)**2/3
Let s = -171969 - -859853/5. Factor -8/5*y**2 + 2/5*y**3 + 0 + s*y.
2*y*(y - 2)**2/5
Factor 75*c**3 + 14*c - 195*c**2 - 535*c**3 - 14*c + 12*c**4 - 117*c**2.
4*c**2*(c - 39)*(3*c + 2)
Let z(g) be the third derivative of g**8/8960 + g**7/420 - g**4/24 + g**3/3 + 38*g**2. Let f(l) be the second derivative of z(l). Factor f(v).
3*v**2*(v + 8)/4
Let q be 1 + (1 - 4 - 2) + 9. Solve q*y**2 + 14*y - 13 - 1 + 2 + 9 = 0 for y.
-3, 1/5
Let o(h) be the second derivative of 102*h**3 + 14*h + 1 + 85/2*h**4 + 108*h**2 + 123/20*h**5 + 3/10*h**6. Factor o(j).
3*(j + 1)*(j + 6)**2*(3*j + 2)
Factor 267 - 91 + 66*g - 2*g**4 + 22*g**2 - 10*g**3 - 140.
-2*(g - 3)*(g + 1)**2*(g + 6)
Let y = 7460 - 7458. Let g = -21 + 30. Solve -g*d**2 - 18*d**3 + y*d + 15*d**3 - 8*d = 0.
-2, -1, 0
Let t(d) be the second derivative of -d**5/90 - 107*d**4/54 + 217*d**3/27 - 109*d**2/9 + 1159*d. Let t(p) = 0. What is p?
-109, 1
Suppose 0 = 28*r - 20*r - 1488. Let v = r - 181. Find m such that m**3 + 1/2*m**v - m**2 - 3/2*m + 3/2*m**4 - 1/2 = 0.
-1, 1
Let z = 25973/34630 + -1/69260. Factor -3/2*m**5 + 15/4*m**4 - 3*m**3 + 0 + z*m**2 + 0*m.
-3*m**2*(m - 1)**2*(2*m - 1)/4
Suppose 0 = -203*g + 199*g + 20. Let l(p) be the second derivative of 0 + 0*p**2 + 25*p + 0*p**4 + 8/3*p**3 - 1/5*p**g. Factor l(q).
-4*q*(q - 2)*(q + 2)
Let t = -246 - -239. Let q(y) = -9*y**2 - 51*y + 19. Let n(s) = -7*s**2 - 34*s + 13. Let c(g) = t*n(g) + 5*q(g). Find w, given that c(w) = 0.
1/4, 4
Let j(t) be the second derivative of 0 + 1/4*t**4 + 1083/2*t**2 + 19*t**3 + 46*t. Factor j(x).
3*(x + 19)**2
Suppose 5*g - 12 - 8 = 0. Let k be -6*g/6*-1. Solve -4*i + 4 + i**4 - i**2 - 4*i**5 - 7*i**2 + 5*i**k - 2*i**4 + 8*i**3 = 0.
-1, 1
Factor -122018 - 1/2*z**2 - 494*z.
-(z + 494)**2/2
Find f, given that -18/5*f + 3/5*f**2 - 189 = 0.
-15, 21
Find x such that 0 + 800*x**2 + 35*x**3 - 5/4*x**4 + 3520*x = 0.
-8, 0, 44
Let k(v) be the first derivative of 1/13*v**2 + 0*v - 47 - 4/65*v**5 + 4/39*v**3 - 1/39*v**6 + 0*v**4. Factor k(o).
-2*o*(o - 1)*(o + 1)**3/13
Let h(g) = g**3 + 26 + 1075*g - 2 - 4*g**3 - 1081*g - 24*g**2 + 12. Let u(z) = z**3 + z**2 + z + 2. Let f(b) = -h(b) + 6*u(b). Find s, given that f(s) = 0.
-2, 2/3
Suppose k + k - 4 = 0. Find h, given that 3*h**5 - 6*h + 39*h**3 - 18*h**4 + 2*h**5 - 36*h**2 - k*h**5 + 18*h = 0.
0, 1, 2
Let r(n) = n**3 - 185*n**2 - 14373*n - 66127. Let w(h) = -h**3 - 25*h**2 - h + 1. Let j(a) = -2*r(a) - 4*w(a). Determine c, given that j(c) = 0.
-115, -5
Let n be (-1)/(-9) + 696/54. Let l = -7 + n. Factor 3/2*s**2 + 9/2*s - l.
3*(s - 1)*(s + 4)/2
Let v(q) = q**3 + 45*q**2 + 40*q - 174. Let u be v(-44). Suppose -22*l + u = -21*l. Factor 18/5*f**4 + 0 + 2*f**l + 4/5*f - 32/5*f**3.
2*f*(f - 1)**2*(9*f + 2)/5
Let w(p) be the first derivative of -22*p**6/15 + 2*p**5/5 + 44*p**4/3 - 16*p**3/3 - 38*p + 10. Let y(x) be the first derivative of w(x). Solve y(h) = 0.
-2, 0, 2/11, 2
Let d(p) be the second derivative of p**3 + 0 - 10*p - 7/2*p**2 + 1/8*p**4 - 1/20*p**5. Let n(f) be the first derivative of d(f). Factor n(i).
-3*(i - 2)*(i + 1)
Let y = -302515/7 - -43217. Determine s so that 48/7*s**3 - 26/7*s**2 + 8/7*s**5 + 0 - 34/7*s**4 + y*s = 0.
0, 1/4, 1, 2
Let x(m) be the second derivative of m**4/7 + 2*m**3/3 + 4*m**2/7 + 1122*m. Factor x(j).
4*(j + 2)*(3*j + 1)/7
Let y(z) be the first derivative of -4*z**3/9 - 74*z**2 - 2120*z/3 - 10010. Find a, given that y(a) = 0.
-106, -5
Let u = 34619/242431 - -2/34633. Factor u*r**2 + 24/7*r + 144/7.
(r + 12)**2/7
Suppose o = f - 11, -16*o = -18*o + 3*f - 19. Let l be 5/35 - (-2)/o. Factor 0*q**2 + 0 + 3/5*q