 be -2 + (177/3 + 4 - -3). Factor 24*b**4 - 3*b**3 - v*b - b**3 - 4*b**5 - 532*b**2 + 436*b**2.
-4*b*(b - 4)**2*(b + 1)**2
Let i = -14415 - -14417. Let j(n) be the second derivative of 2/5*n**3 - 2/105*n**7 + 0*n**6 + 0 + 20*n + 6/25*n**5 + 8/15*n**4 + 0*n**i. Factor j(z).
-4*z*(z - 3)*(z + 1)**3/5
Solve -3/2*x**2 + 528 - 54*x = 0 for x.
-44, 8
Factor 514092/7*o**2 + 1022120/7*o + 510050/7 + 2024/7*o**3 + 2/7*o**4.
2*(o + 1)**2*(o + 505)**2/7
Let m(o) = -o**2 - 12*o - 8. Let k be m(-11). Factor 1783*f - 1783*f + 4*f**k.
4*f**3
Let x(n) be the second derivative of -1/24*n**4 - 3/8*n**2 + 5/24*n**3 + 0 - 78*n. Factor x(f).
-(f - 1)*(2*f - 3)/4
Suppose -2350*x - 1555/2*x**2 + 5/2*x**3 - 1570 = 0. Calculate x.
-2, -1, 314
Let t(b) be the third derivative of -1/1848*b**8 + 0 + 0*b**3 + 238*b**2 + 0*b + 1/165*b**7 + 0*b**4 - 1/60*b**6 + 1/66*b**5. Let t(x) = 0. What is x?
0, 1, 5
Solve -74/5*m - 1608/5*m**2 + 8*m**4 + 28 - 1354/5*m**3 = 0 for m.
-1, -2/5, 1/4, 35
Let b(p) = -301*p**2 - 7091*p - 229. Let h(y) = 151*y**2 + 3551*y + 114. Let s(o) = 6*b(o) + 11*h(o). Factor s(i).
-5*(i + 24)*(29*i + 1)
Let p = -190 - -193. Let w be 0 + p/3 - (-3)/4. Factor -3 + 5*t - 1/2*t**3 - w*t**2 + 1/4*t**4.
(t - 2)**2*(t - 1)*(t + 3)/4
Let z(h) be the second derivative of 35*h**2 + 87 - 115/6*h**3 + 2*h + 5/4*h**4. Factor z(q).
5*(q - 7)*(3*q - 2)
Let b = 832 + -836. Let v(h) = -h**3 + 16*h + 60. Let g be v(b). Factor 51/4*m**2 + 48 + 3/4*m**3 + g*m.
3*(m + 1)*(m + 8)**2/4
Solve 6504*u**2 + 147*u**4 + 121*u**4 - 5200*u - 2312*u**3 - 66353 - 1964*u + 4*u**5 + 69053 = 0 for u.
-75, 1, 3
Let k(s) be the first derivative of 7*s**5/20 + 61*s**4/16 - 361*s**3/12 + 371*s**2/8 - 39*s/2 - 1371. Determine r so that k(r) = 0.
-13, 2/7, 1, 3
Let s(y) be the first derivative of -y**3 + 567*y**2/2 + 598. Suppose s(o) = 0. What is o?
0, 189
Let u(l) be the first derivative of -7*l**5/20 + 4*l**4/3 - 11*l**3/6 + l**2 - 127*l - 4. Let j(x) be the first derivative of u(x). Factor j(c).
-(c - 1)**2*(7*c - 2)
Suppose 62 = 6*d - 4. Let c(y) = 8*y - 51. Let g be c(d). Let -41*b**3 - 8 - b**2 + g*b**3 + b**2 + 12*b = 0. What is b?
-2, 1
Let l be (1/(-30))/(1184/(-37000)). Let g(o) be the third derivative of 0*o + 4*o**2 + 1/30*o**6 + 0 - o**3 - 7/15*o**5 + l*o**4. Find u, given that g(u) = 0.
1/2, 6
Let p(q) = -q**4 - 5*q**3 - 9*q**2 - 16*q - 11. Let c(m) = 5*m**4 + 23*m**3 + 37*m**2 + 64*m + 45. Let a(x) = 6*c(x) + 26*p(x). Suppose a(r) = 0. Calculate r.
-2, -1, 2
Let q(k) be the third derivative of -k**6/210 - 13*k**5/105 + 481*k**4/42 + 986*k**3/21 + 3321*k**2. Factor q(f).
-4*(f - 17)*(f + 1)*(f + 29)/7
Let s(j) be the second derivative of -j**7/7 - 9*j**6/10 + 6*j**5/5 + 7*j**4/2 - 3*j**3 - 15*j**2/2 - 1139*j. Solve s(v) = 0 for v.
-5, -1, -1/2, 1
Let x be 15/(-4)*(-14196)/525. Factor 12/5 - x*q**3 + 144/5*q + 351/5*q**2.
-3*(q - 1)*(13*q + 2)**2/5
Let p(g) be the second derivative of 5*g**2 + 0 - 44*g - 95/18*g**3 + 5/12*g**4. Find o such that p(o) = 0.
1/3, 6
Let o(i) be the first derivative of 472/3*i**3 - 80*i**2 + 271 - 47*i**4 + 0*i + 4*i**5. Factor o(c).
4*c*(c - 5)*(c - 4)*(5*c - 2)
Suppose 5 = -3*i - l, -4 - 17 = 3*i - 3*l. Let t be 1 - i - (3 - (-6)/(-2)). Let t*v**3 + 2*v**4 - 9*v**3 + v**3 = 0. What is v?
0, 2
Suppose 0 - 24/5*d**4 + 4/5*d**5 + 16/5*d**2 - 48/5*d + 36/5*d**3 = 0. What is d?
-1, 0, 2, 3
Let l(h) be the first derivative of h**5/15 + 5*h**4/6 + 29*h**3/9 + 10*h**2/3 - 298. Find s such that l(s) = 0.
-5, -4, -1, 0
Suppose 87*g - 8 + 4 = 430*g - 4. Determine r so that g + 0*r + 4/7*r**3 + 36/7*r**2 = 0.
-9, 0
Solve -59*m + 233/4*m**2 - 117 + 1/4*m**3 = 0.
-234, -1, 2
Let l = 290182/5 - 58036. Determine g so that 12/5 + l*g - 2/5*g**2 = 0.
-2, 3
Let u(m) be the first derivative of -m**4/18 + 4*m**3/3 + m**2/9 - 4*m - 279. Factor u(j).
-2*(j - 18)*(j - 1)*(j + 1)/9
Factor -52/11*y**2 - 56/11 - 2/11*y**3 + 10*y.
-2*(y - 1)**2*(y + 28)/11
Let p = -973 - -476. Let i = p - -3481/7. Factor 2/7*v**3 + 0 + 0*v - 4/7*v**4 + i*v**5 + 0*v**2.
2*v**3*(v - 1)**2/7
Factor -125 + 20*a - 179*a**2 + 366*a**2 - 186*a**2.
(a - 5)*(a + 25)
Factor 2/3*j**5 + 110/3*j**4 + 0*j**2 + 212/3*j**3 + 0 + 0*j.
2*j**3*(j + 2)*(j + 53)/3
Suppose m - 12 = -3*o, -2*m + 54 = -2*o + 14. Let b be 30*(10 + -8 + (-32)/m). Factor 0*n**2 + 0*n + 0 + 0*n**3 + b*n**4 + 5/3*n**5.
5*n**4*(n + 4)/3
Let g(b) be the second derivative of 0 - 2/3*b**4 + 2/3*b**3 + 2/15*b**6 + 139*b + 2*b**2 - 2/5*b**5 + 2/21*b**7. Solve g(z) = 0.
-1, 1
Suppose 28/5*o**3 - 44*o - 12/5*o**2 + 40 + 4/5*o**4 = 0. What is o?
-5, 1, 2
Let m(j) = -5*j**3 + 3*j + 3. Let x be m(-1). What is z in 22*z**3 + 10*z**x + 0*z**5 + 24*z**2 - 9*z**5 + 9*z + 8*z**4 = 0?
-3, -1, 0
Let m = -250 - -252. Suppose -s**2 - 4*s**2 + 12*s + m*s**2 - 14 + 5 = 0. What is s?
1, 3
Let h(m) = m**2 + 28*m - 27. Let s be h(-29). Find t such that -163*t - 97*t - 143*t + 72 + 71*t + 36*t**s = 0.
2/9, 9
Let m be ((-20)/18)/(765/(-306)) + (-2)/9. Factor 40/3 - m*k**3 - 128/9*k + 38/9*k**2.
-2*(k - 15)*(k - 2)**2/9
Let a = -325 + 506. Let k = -1263/7 + a. Suppose 2/7*j**5 + 2/7*j + 0 - k*j**3 + 0*j**2 + 0*j**4 = 0. What is j?
-1, 0, 1
Let c = 43 - 26. Suppose 20*d = c*d + 6. Factor 2*p**2 + 2*p - 9*p + d*p**3 - p - 3 - 5.
2*(p - 2)*(p + 1)*(p + 2)
Let x be (-2)/5 + 12/5. Let m = -10012 - -10014. Factor 2*z**4 - 14*z**4 - 2*z**4 + 16*z - 20*z**3 + 6*z + 4*z**m + 10 - x*z**5.
-2*(z - 1)*(z + 1)**3*(z + 5)
Let h(f) be the first derivative of 2*f**6/3 - 4*f**5/5 - 22*f**4 + 184*f**3/3 + 42*f**2 - 180*f + 1768. Solve h(u) = 0.
-5, -1, 1, 3
Let m(x) be the first derivative of 7*x**5/5 + 27*x**4/4 + 11*x**3/3 - 27*x**2/2 - 18*x + 634. Determine w so that m(w) = 0.
-3, -1, -6/7, 1
Let s(y) be the third derivative of -y**8/784 - 9*y**7/490 + 13*y**6/280 + 29*y**5/140 - 3*y**4/14 - 10*y**3/7 + 818*y**2 - 2*y. Suppose s(m) = 0. Calculate m.
-10, -1, 1, 2
Let t(l) be the second derivative of l**8/6720 - l**7/630 + l**6/144 - l**5/60 + 25*l**4/6 + 6*l - 2. Let j(y) be the third derivative of t(y). Factor j(n).
(n - 2)*(n - 1)**2
Let d be (-140)/42*(-6)/4. Let i(h) = -h**2 - 9*h + 12. Let b(y) = -y**2 - 10*y + 12. Let q(c) = d*b(c) - 6*i(c). Find v, given that q(v) = 0.
-6, 2
Let b(k) = -11*k**2 - 21*k + 6. Let h be b(-2). Let l be 40/(-20)*h/(-4). Let 3/8*v - 1/8*v**3 + 0 + 1/4*v**l = 0. What is v?
-1, 0, 3
Let h(a) be the second derivative of 1/240*a**6 + 0 + 5/96*a**4 + 70*a - 3/80*a**5 + 0*a**2 + 0*a**3. Suppose h(z) = 0. What is z?
0, 1, 5
Let i(z) be the first derivative of z**4/22 - 34*z**3/33 + 95*z**2/11 - 350*z/11 + 9249. Factor i(a).
2*(a - 7)*(a - 5)**2/11
Let y(g) be the first derivative of g**6/30 + 11*g**5/25 - 27*g**4/10 + 86*g**3/15 - 59*g**2/10 + 3*g + 1649. Let y(j) = 0. Calculate j.
-15, 1
Suppose 0 = 8*m + 1 - 17. Let g(u) = -2*u**2 - 48*u - 68. Let w(z) = z**2 + 23*z + 34. Let f(v) = m*g(v) + 5*w(v). Factor f(q).
(q + 2)*(q + 17)
Factor 57/4*q**2 - q**3 - 55/2*q + 6.
-(q - 12)*(q - 2)*(4*q - 1)/4
Suppose 4*g - 34 = -3*n - 2*n, -n = 4*g - 10. Suppose -5*i + 25 = -2*a, -3*i + 11 = -n*i - 4*a. Factor -4/5*t**i + 4/5*t + 2/5*t**4 - 2/5 + 0*t**2.
2*(t - 1)**3*(t + 1)/5
Let z = 221/30 + -427/60. Let c(h) = 2*h. Let t be c(0). Find b such that t*b + 1/4*b**2 - z = 0.
-1, 1
Let m(w) = 29*w**3 - 2*w**2 - w. Let j be m(-1). Let u be (-3 - 1)/12 - j/9. Solve -1963*q**4 - q**3 + 0*q**u + 1964*q**4 = 0.
0, 1
Let u = -1020242 + 1020244. Factor -97/2 - 48*x + 1/2*x**u.
(x - 97)*(x + 1)/2
Let i = 3880 + -3876. Let q(d) be the second derivative of 0*d**i + 0*d**2 + 0*d**3 + 3/80*d**5 - 10*d + 0. Suppose q(b) = 0. Calculate b.
0
Let m(x) be the first derivative of 4/3*x**4 - 10/3*x**2 + 56/3*x + 32/15*x**5 - 88/9*x**3 + 2/9*x**6 + 336. Find r such that m(r) = 0.
-7, -2, -1, 1
Factor 40/3*k + 0 - 8*k**3 - 4*k**2 - 4/3*k**4.
-4*k*(k - 1)*(k + 2)*(k + 5)/3
Let n(i) be the second derivative of i**7/1680 - 11*i**6/240 - 23*i**5/80 + 155*i**4/12 - i - 1. Let f(l) be the third derivative of n(l). Factor f(j).
3*(j - 23)*(j + 1)/2
Factor 102/7*j**3 + 2700/7 + 3060/7*j + 1047/7*j**2 + 3/7*j**4.
3*(j + 2)**2*(j + 15)**2/7
Suppose 8*x = -5 + 5. Let l = -848 - -853. Factor x*c + 0*c**3 + 1/4*c**l + 0 - 3/4*c**4 + c**2.
c**2*(c - 2)**2*(c + 1)/4
Let o(c) be the first derivative of 