- 67*m**2/11 + 944*m/11 - 1533. Factor x(b).
2*(b - 59)*(b - 8)/11
Let q(f) be the second derivative of -21/2*f**2 + 7*f - 1/4*f**4 + 11 + 4*f**3. Factor q(v).
-3*(v - 7)*(v - 1)
Let z be (-5)/(-6) + (-3668)/(-3144). Let y(b) be the first derivative of -20*b**3 - 25*b**z - 31 - 15/2*b**4 - 15*b - b**5. Suppose y(l) = 0. Calculate l.
-3, -1
Factor -876*x + 1936*x - 3*x**3 - 580*x + 324 + 98*x**2 + 55*x**2.
-3*(x - 54)*(x + 1)*(x + 2)
Let k(o) be the second derivative of o**7/42 - 7*o**6/30 + 13*o**5/20 + o**4/4 - 3*o**3 - 9*o - 109. Determine l so that k(l) = 0.
-1, 0, 2, 3
Suppose 18 = 10*f - 102. Factor -53*r + 21*r - 3*r**2 - f + 20*r.
-3*(r + 2)**2
Let z = 835 - 832. Let a be (-15)/(-2) - z - (-4 - -7). Determine c, given that -12*c + a*c**2 + 24 = 0.
4
Let t = 2590174/5 + -518018. Suppose 58/5*o**2 - 3*o**3 + 8 + 1/5*o**4 - t*o = 0. Calculate o.
1, 2, 10
Let i(u) be the third derivative of -u**5/240 - 11*u**4/48 - 14*u**3/3 - 464*u**2. Factor i(j).
-(j + 8)*(j + 14)/4
Suppose -17*u + 70 = -3*u. Factor -3 - 3*a**4 + 6*a**3 - 13 + 9*a**2 - u - 12*a + 9.
-3*(a - 2)**2*(a + 1)**2
Let p(n) = n**5 - 2*n**4 + 3*n**3 - n**2 - n. Let a(x) = 24*x**5 - 88*x**4 + 268*x**3 - 404*x**2 + 236*x. Let j(z) = a(z) - 20*p(z). Factor j(m).
4*m*(m - 4)**2*(m - 2)**2
Let g(z) = 3*z - 15. Let q(f) = f**2 + 2011*f + 1020145. Let n(b) = 12*g(b) + 4*q(b). Factor n(m).
4*(m + 1010)**2
Let n = 5141/1162 - -44/581. Factor n*p**2 - 3/2*p**3 - 1/2*p**4 + 0 - 5/2*p.
-p*(p - 1)**2*(p + 5)/2
Let u(l) be the second derivative of -9 + l + 1/10*l**2 + 1/60*l**4 + 1/15*l**3. Suppose u(a) = 0. Calculate a.
-1
Let z(r) be the third derivative of -r**6/60 - 57*r**5/2 + 643*r**4/3 - 572*r**3 + 7274*r**2. Suppose z(s) = 0. Calculate s.
-858, 1, 2
Let k be (-4)/(-8)*3/(-10)*(-85)/51. Let u(j) be the second derivative of -39*j - k*j**3 + 1/2*j**2 + 0 + 1/24*j**4. Suppose u(y) = 0. Calculate y.
1, 2
Let p = 7 - 5. Let g(x) = 8*x - 6. Let b be g(p). Determine s, given that b*s**3 - 10*s + 71*s**4 - 2 - 3 - 66*s**4 = 0.
-1, 1
Let h(u) be the first derivative of -106 - 1/18*u**3 + 19/6*u**2 - 361/6*u. Solve h(k) = 0.
19
Let a(u) be the first derivative of -1/16*u**4 - 161 + 0*u**2 - 8/9*u**3 + 0*u. Factor a(m).
-m**2*(3*m + 32)/12
Suppose 123*a - 327 + 281 - 446 = 0. Factor -175/2*f**3 + 5 + 25*f - 15/4*f**2 + 245/4*f**a.
5*(f - 1)**2*(7*f + 2)**2/4
Let a be (3/(-51))/((-192)/544). Let y(l) be the second derivative of -l - 1/20*l**5 - 3/4*l**2 + 0 + a*l**3 - 1/60*l**6 + 1/6*l**4. Factor y(h).
-(h - 1)**2*(h + 1)*(h + 3)/2
Let z = -24 - -42. Suppose -2*n + z = 2*o, -6*n + 3*n = 6. Factor -9 - 8*w**2 - 3*w + 9*w**2 + o.
(w - 2)*(w - 1)
Let z be 5 + (-56)/12 - (4 + -4). Factor 10/3 - 7/3*f - 4/3*f**2 + z*f**3.
(f - 5)*(f - 1)*(f + 2)/3
Let j(h) be the second derivative of h**5/100 + h**4/8 + 3*h**3/5 + 217*h**2/2 + 17*h - 2. Let a(y) be the first derivative of j(y). Factor a(g).
3*(g + 2)*(g + 3)/5
Find q, given that 2/3*q**3 + 2*q**2 + 2/3*q**5 - 4/3*q + 0 - 2*q**4 = 0.
-1, 0, 1, 2
Let s be 79/9 + (-2)/(-9). Factor -78*d**4 - 162*d**2 + s*d**5 - 81*d - 20*d**3 + 175*d**3 + 61*d**3.
3*d*(d - 3)**3*(3*d + 1)
Let a = -566141/2 - -283458. Find i, given that 1125/2*i**5 - 1045/2*i**3 - 40*i - 10 + 795/2*i**2 - a*i**4 = 0.
-1, -1/9, 2/5, 1
Let y(v) be the second derivative of 10/3*v**2 + 1/15*v**5 - 17 + 2*v - 1/6*v**4 - v**3. Factor y(o).
2*(o - 1)*(o + 2)*(2*o - 5)/3
Factor -126/5*j**2 + 1842/5*j + 144.
-6*(j - 15)*(21*j + 8)/5
Let q(d) = 11*d**2 + 26*d - 1356. Let u be q(10). Determine n so that -3/5*n**5 + 21/5*n**u + 51/5*n**2 + 0 - 51/5*n**3 - 18/5*n = 0.
0, 1, 2, 3
Let n(f) be the second derivative of -57*f + 0 - 2*f**2 - 7/24*f**4 + 5/4*f**3. Find i such that n(i) = 0.
1, 8/7
Determine m so that 0 + 68/3*m**2 + 23*m - 1/3*m**3 = 0.
-1, 0, 69
Factor 0 + 25332/7*r**3 + 4/7*r**4 + 37629174524/7*r + 53475852/7*r**2.
4*r*(r + 2111)**3/7
Let y(x) be the third derivative of -x**6/1260 + x**5/84 - 2*x**3 + 5*x**2 - 14. Let r(d) be the first derivative of y(d). Solve r(a) = 0 for a.
0, 5
Let o(r) be the first derivative of -r**4 + 0*r**2 + 0*r**3 - 36 + 1/3*r**6 - 2/5*r**5 + 0*r. Factor o(u).
2*u**3*(u - 2)*(u + 1)
Let a(s) be the second derivative of -s**7/7 - s**6/2 + 3*s**5/4 + 5*s**4/4 - 3*s**3/2 + s - 138. Find n such that a(n) = 0.
-3, -1, 0, 1/2, 1
Let o(n) = -n**4 - 26*n**3 + 117*n**2 - 270*n + 216. Let t(w) = w**4 + 52*w**3 - 237*w**2 + 540*w - 432. Let d(z) = -5*o(z) - 3*t(z). Factor d(j).
2*(j - 4)*(j - 3)**3
Let s(v) = v**3 - 10*v**2 + 98. Let i be s(9). Find p, given that 2 - 11*p**2 + 6*p + 85*p**3 - 83*p**3 + i*p**2 = 0.
-1
Suppose -121*d - 1200 = -363*d - 158*d. Suppose 14/17*p - 12/17 + 0*p**2 - 2/17*p**d = 0. Calculate p.
-3, 1, 2
Let -56169 - 1/4*q**2 - 237*q = 0. Calculate q.
-474
Factor 19002058 - 52*w - 19002058 - w**2.
-w*(w + 52)
Let o(u) = -78*u**3 + 4116*u**2 + 19034*u + 1532. Let f(c) = 17*c**3 - 823*c**2 - 3807*c - 306. Let z(w) = 44*f(w) + 9*o(w). Factor z(l).
2*(l + 9)**2*(23*l + 2)
Let q = 66 - 53. Suppose 0 = 17*l - q*l - 16. Find r, given that -2*r**2 + 4*r**2 - l*r**2 + 0*r**2 - 2*r = 0.
-1, 0
Let r = -5905 + 5917. Let v(t) be the third derivative of 0*t + 0 - r*t**2 + 0*t**3 - 1/900*t**6 + 0*t**4 - 2/225*t**5. Solve v(n) = 0 for n.
-4, 0
Let g = 6/23987 - -2254760/71961. Factor -44*u**2 - 16/3 + 6*u**3 - g*u.
2*(u - 8)*(3*u + 1)**2/3
Let l(j) = -j - 151. Let v be l(-27). Let c be 94/104 + v/806. Factor 3/2*a + c*a**2 + 0.
3*a*(a + 2)/4
Find u, given that -44240/3*u - 1/3*u**3 - 4900 - 1261/9*u**2 = 0.
-210, -1/3
Solve -1/3*x**2 + 11*x + 0 = 0.
0, 33
Suppose 0 = -22*j + 224 - 48. Suppose 8*s + j = 12*s. Determine f so that -2/15*f**3 + 6/5*f**2 + 14/15 - s*f = 0.
1, 7
Let n = -1588 - -1601. Let o be (-44)/(-12) - n/(-39). Factor 6/11*i - 4/11*i**3 - 2/11*i**5 + 2/11 + 4/11*i**2 - 6/11*i**o.
-2*(i - 1)*(i + 1)**4/11
Let t = -212 + 666. Solve -3*l + 2*l**2 + 1254 + 83*l - t = 0 for l.
-20
Let g(h) be the third derivative of -h**5/20 - 25*h**4/4 - 141*h**3/2 + 896*h**2. Factor g(x).
-3*(x + 3)*(x + 47)
Suppose 0*i + 5*i + 2*l = -60, -3*i - 20 = -2*l. Let q be (-36)/(-8) + 25/i. Factor 1/5*k**3 + 9/5*k + 6/5*k**q + 0.
k*(k + 3)**2/5
Suppose o = 7*a - 3*a - 125, 4*o = -4*a + 140. Find y such that a + 46*y**2 - 6*y**2 + 11*y**3 - 7*y**3 + 68*y = 0.
-8, -1
Let l(h) be the second derivative of -6*h - 14/3*h**3 - 1/50*h**5 + 1/10*h**4 + 1/600*h**6 + 0*h**2 + 0. Let s(w) be the second derivative of l(w). Factor s(g).
3*(g - 2)**2/5
Let d(s) be the second derivative of -2*s**3 - 7*s + 0 + 1/30*s**4 + 45*s**2. Solve d(w) = 0.
15
Suppose -20 = -3*b - 4*u, -52*b + 22*u - 17*u = 25. Factor b*o + 100/3*o**2 + 0 + 5/3*o**3.
5*o**2*(o + 20)/3
Let v(f) be the third derivative of -1/24*f**5 + 4 + 0*f**3 + 4*f**2 + 0*f - 5/48*f**4. Factor v(b).
-5*b*(b + 1)/2
Let j = 3157/46905 - 2/3127. Let q(x) be the first derivative of -1 - 1/2*x**4 - x**3 + 0*x + 0*x**2 - j*x**5. Factor q(r).
-r**2*(r + 3)**2/3
Let l be (-6903)/(-15340)*(-1 - 22/(-18)). Let r(u) be the third derivative of 12*u**2 + l*u**5 + 0*u**3 + 1/40*u**6 + 1/8*u**4 - 3 + 0*u. Factor r(j).
3*j*(j + 1)**2
Let c = 337432 - 4049183/12. Suppose 0 + 1/12*h + c*h**2 = 0. What is h?
-1, 0
Let w = 7726289/15 + -515085. What is a in 2/15*a**4 + 2*a**2 + 6/5*a**3 + 0 + w*a = 0?
-7, -1, 0
What is p in 3/2*p**2 + 2*p - 1/2*p**3 - 6 = 0?
-2, 2, 3
Suppose -82 + 446 = 7*m. Suppose m = -j + 5*j. Solve 3*g**2 + 84*g**4 - 3*g**3 + 4*g**2 - j*g**2 = 0 for g.
-1/4, 0, 2/7
Let m = -1004 + 2930. Let f = 1928 - m. Suppose 0 - 1/2*b**4 + 0*b - 7*b**3 - 49/2*b**f = 0. Calculate b.
-7, 0
Let l(n) be the third derivative of -n**7/140 - n**6/80 + n**5/10 + n**4/4 - 965*n**2. Find x such that l(x) = 0.
-2, -1, 0, 2
Let z(c) be the third derivative of c**6/360 - 2*c**5/45 - 31*c**4/72 - 11*c**3/9 - c**2 - 6*c. Factor z(a).
(a - 11)*(a + 1)*(a + 2)/3
Let i(x) be the first derivative of 1/12*x**4 + 0*x**3 - 68 - 1/2*x**2 + 2/3*x. Factor i(p).
(p - 1)**2*(p + 2)/3
Let i be ((-56)/(-35) - (-783)/(-480))*(-4)/3. Let n(l) be the third derivative of 0*l**5 + i*l**4 + 0*l + 0*l**3 + 0 - 1/480*l**6 - 43*l**2. Factor n(a).
-a*(a - 2)*(a + 2)/4
Let i(g) be the third derivative of g**6/30 + 49*g**5/15 + 511*g**4/6 - 374*g**3 + 13260*g**2. Suppose i(z) = 0. What 