e (9 - 147/14) + (-9)/(-6). Let j(d) be the first derivative of 23/28*d**4 + g*d**2 + 0*d + 2/7*d**3 + 11 + 1/5*d**5. Factor j(r).
r**2*(r + 3)*(7*r + 2)/7
Solve 0*h - 1611/7*h**3 - 1614/7*h**4 + 0*h**2 - 3/7*h**5 + 0 = 0.
-537, -1, 0
Let q(w) = -50*w**3 + 710*w**2 + 196*w + 6. Let x(d) = 150*d**3 - 2131*d**2 - 630*d - 19. Let i(o) = -19*q(o) - 6*x(o). Determine c, given that i(c) = 0.
0, 2/25, 14
Let f = -415630/9 + 46032. Let m = -149 - f. Suppose -4/3*w + 2/3*w**2 - m*w**3 + 8/9 = 0. What is w?
2
Let z(p) be the second derivative of p**4/6 - 263*p**3/9 - 88*p**2/3 - 244*p - 3. Suppose z(o) = 0. What is o?
-1/3, 88
Solve -328/13 + 2/13*b**2 - 326/13*b = 0 for b.
-1, 164
Let v(l) be the third derivative of l**5/60 + l**4/2 + 7462*l**2. Factor v(w).
w*(w + 12)
Let w(k) be the third derivative of -1/4*k**6 - 1/15*k**5 - 2/21*k**8 + 0*k**3 + 32/105*k**7 + 44*k**2 + 1/12*k**4 + 0*k + 0. What is u in w(u) = 0?
-1/4, 0, 1/4, 1
Let h(k) be the first derivative of -3*k**5/100 + 11*k**4/20 + 6*k**3/5 + 61*k + 45. Let n(x) be the first derivative of h(x). Suppose n(b) = 0. Calculate b.
-1, 0, 12
Let q(l) be the first derivative of 0*l + 0*l**2 - 5/16*l**4 + 0*l**3 + 1/5*l**5 + 1/24*l**6 + 25. Factor q(o).
o**3*(o - 1)*(o + 5)/4
Let z be (-15)/(-35) - (-67)/7. Suppose f + t - z = 0, f - 15 = 2*f - 4*t. Factor 10*n + n**5 - 9*n**3 + 2*n + 2*n**f + 6*n**4 + 0*n - 12*n**2.
3*n*(n - 1)**2*(n + 2)**2
Let t(q) be the third derivative of q**6/8 - 9*q**5/10 + 19*q**4/8 - 3*q**3 + 111*q**2 - 5. Let t(w) = 0. What is w?
3/5, 1, 2
Let m = 4814 - 3197. Find c, given that -2*c**2 + 6*c + m + 30*c - 1617 = 0.
0, 18
Let x(q) be the first derivative of q**5 + 12*q**4 + 49*q**3 + 76*q**2 + 48*q + 258. Solve x(o) = 0 for o.
-4, -1, -3/5
Let g(j) be the first derivative of j**4/20 - 3*j**3/5 + 27*j**2/10 + 106*j - 13. Let c(d) be the first derivative of g(d). Suppose c(l) = 0. What is l?
3
Suppose 36 = 3*w + 3*r - 6*r, 3*r = 5*w - 62. Let z(b) = -b**3 + 12*b**2 + 12*b + 15. Let n be z(w). Factor 3 - 14*y**n + 3*y**2 + 17*y**2 - 9*y.
3*(y - 1)*(2*y - 1)
Let o be 1*((-49)/(-6) - 8)*-99*4/(-18). Factor -70/3*h + 100/3 + o*h**2 - 1/6*h**3.
-(h - 10)**2*(h - 2)/6
Let w = 303 + -213. Find h such that 46*h + 838*h**2 - 804*h**2 + 14 - 4*h**3 - w*h = 0.
1/2, 1, 7
Let r(q) be the second derivative of -q**6/90 - q**5/40 + q**4/24 - 94*q**3/3 + 2*q - 18. Let i(w) be the second derivative of r(w). Factor i(n).
-(n + 1)*(4*n - 1)
Let u(c) = 6*c**2 + 146*c - 404. Let v(m) = m**2 + 29*m - 84. Let z(t) = -3*u(t) + 14*v(t). Let z(x) = 0. Calculate x.
-9, 1
Let f(i) be the first derivative of -2*i**3/3 - 4792*i**2 - 11481632*i - 5731. Let f(s) = 0. What is s?
-2396
Factor -436 + 658/3*n - 2/3*n**2.
-2*(n - 327)*(n - 2)/3
Let g(w) be the third derivative of -8/315*w**7 + 0*w + 1/1008*w**8 + 0 - 121/90*w**5 + 97/24*w**4 + 23/90*w**6 - 158*w**2 - 7*w**3. What is v in g(v) = 0?
1, 2, 3, 7
Let r(s) be the third derivative of s**7/147 + 3*s**6/280 - s**5/420 + 1664*s**2 - 2. Factor r(o).
o**2*(o + 1)*(10*o - 1)/7
Suppose 4*b - 41 = 23. Factor -5*n - 15*n - b + 556*n**2 - 560*n**2.
-4*(n + 1)*(n + 4)
Let j = 644 - 642. Determine b so that 15 - 43*b + 82*b + 9 + 15*b**j = 0.
-8/5, -1
Let l(j) be the second derivative of j**8/26880 - j**7/1680 + j**6/576 - 79*j**4/12 + 69*j. Let o(s) be the third derivative of l(s). Factor o(n).
n*(n - 5)*(n - 1)/4
Suppose -q - 18 = -4*f - 0, -3*f - 5*q + 25 = 0. Factor -3*r**2 + 9 - 6*r + f*r**2 - 5.
2*(r - 2)*(r - 1)
Let w(u) be the first derivative of u**5/30 + 2*u**4/3 + 4*u**3 - u**2 + 40*u + 37. Let q(l) be the second derivative of w(l). Factor q(n).
2*(n + 2)*(n + 6)
Let m(k) be the first derivative of 5*k**6/2 - 99*k**5/5 - 3*k**4 + 144*k**3 - 96*k**2 - 144*k - 2233. Find a such that m(a) = 0.
-2, -2/5, 1, 2, 6
Let t(r) = -3 - 6 + 2*r**2 + 0*r - 2 - 6*r. Let h(a) = -6*a**2 + 18*a + 32. Let z be (152/(-95))/((-2)/(-10)). Let w(g) = z*t(g) - 3*h(g). Factor w(d).
2*(d - 4)*(d + 1)
Let n(h) = 17*h**2 - 69*h + 88. Let w(a) = 15*a**2 - 70*a + 85. Let y(d) = 5*n(d) - 6*w(d). Determine s, given that y(s) = 0.
1, 14
Let 8370*f**2 - 5*f**3 - 4670460*f + 1024543358 + 99762083 - 255599881 = 0. Calculate f.
558
Let 234/5*n**2 + 2/5*n**3 + 462/5*n + 46 = 0. Calculate n.
-115, -1
Let l(m) = -m**2 - 61*m - 6. Let n(q) = -4 - 3*q - 1 - 22*q - 35*q. Let k(b) = -5*l(b) + 6*n(b). Factor k(j).
5*j*(j - 11)
Let i(m) be the first derivative of -m**6/120 + m**5/60 + 51*m**2/2 + 101. Let g(c) be the second derivative of i(c). Solve g(d) = 0 for d.
0, 1
Let d(b) be the third derivative of b**8/2184 - 17*b**7/1365 + 31*b**6/390 + 49*b**5/195 - 21*b**4/52 - 27*b**3/13 - b**2 - 2*b + 126. What is y in d(y) = 0?
-1, 1, 9
Suppose 784*q - 2401/2 - 128*q**2 = 0. What is q?
49/16
Suppose -148 = -5*p - 4*t, -p + 2 = -3*t - 39. Factor -p*x**3 + 43*x**2 - 34*x**3 - 6*x**3 + 4*x**4 - 529*x + 1600 + 441*x**2 - 911*x.
4*(x - 5)**2*(x - 4)**2
Let r(p) be the first derivative of p**5/15 - 7*p**4/6 + 11*p**3/3 + 56*p**2/3 + 64*p/3 + 1010. Determine z, given that r(z) = 0.
-1, 8
Let u(s) = -6*s**2 + 312*s - 4046. Let i(o) = 3*o**2 - 156*o + 2022. Suppose -5*r + 0*w + 5*w - 5 = 0, -4*w = 3*r + 17. Let j(x) = r*u(x) - 5*i(x). Factor j(f).
3*(f - 26)**2
Let u(n) be the first derivative of -n**5/5 - 13*n**4/2 - 77*n**3/3 + 118*n**2 - 132*n + 2222. Factor u(c).
-(c - 1)**2*(c + 6)*(c + 22)
Let d(h) be the second derivative of h**7/70 + 33*h**6/25 + 2331*h**5/100 - 2738*h**4/5 - 2685*h. Let d(v) = 0. Calculate v.
-37, 0, 8
Suppose 445 = -34*x + 615. Let z(v) be the third derivative of 1/40*v**6 + 0*v**3 - 10*v**2 + 1/8*v**4 + 0*v + 0 + 1/10*v**x. Find y, given that z(y) = 0.
-1, 0
Let d(q) = 11*q**2 - 4*q - 11. Let m be d(12). Let n = -11 - -13. Factor -5*h**2 + 1527*h**3 + 2*h**4 - 2*h - m*h**3 + 4 - h**n.
2*(h - 1)**2*(h + 1)*(h + 2)
Factor 3/7*k**4 - 432/7*k + 0 - 48*k**2 + 99/7*k**3.
3*k*(k - 4)*(k + 1)*(k + 36)/7
Let z(n) = -n**2 + 32. Let w(y) = -6*y**2 + 2142*y - 4176. Let c(l) = w(l) - 3*z(l). Determine r, given that c(r) = 0.
2, 712
Let s(y) be the first derivative of -y**4/20 - 7*y**3/10 + 9*y**2 - 85*y + 280. Let t(h) be the first derivative of s(h). Solve t(u) = 0 for u.
-10, 3
Let o(i) = i + 1. Let z(b) = -25*b**3 + 1995*b**2 + 2370*b + 350. Let v(x) = -55*o(x) - z(x). Let v(c) = 0. What is c?
-1, -1/5, 81
Let r = 300 - 298. Factor -5*p**2 - 189 + 50*p - 3*p**r + 109 + 3*p**2.
-5*(p - 8)*(p - 2)
Let g = -3643/390 + 748/65. Let -3/2*r**4 + 0 + 3/2*r**2 - g*r**3 + 1/3*r + 11/6*r**5 = 0. Calculate r.
-1, -2/11, 0, 1
Let p(c) = c**3 - 199*c**2 + 151*c + 6069. Let d(x) = 3*x**3 - 855*x**2 + 603*x + 24276. Let k(j) = -2*d(j) + 9*p(j). Factor k(s).
3*(s - 17)**2*(s + 7)
Let f be 69/6*(-1212)/(-6969). Solve 16/9*x - 22/3 + 2/9*x**f = 0.
-11, 3
Factor 1/6*c**4 - 22/3*c**3 - 46*c + 39/2 + 101/3*c**2.
(c - 39)*(c - 3)*(c - 1)**2/6
Let u(i) be the second derivative of 0 + 0*i**2 + 0*i**3 - 17*i - 1/10*i**5 + 5/36*i**4. Factor u(m).
-m**2*(6*m - 5)/3
Let f be (-1540)/(-374) + 4/(-34). Let h be f/6 + 190/(-475). Suppose -2/15*j**2 + 0 + h*j = 0. What is j?
0, 2
Find b, given that 101/4*b - 35/2 - 27/4*b**2 - 5/4*b**3 + 1/4*b**4 = 0.
-5, 1, 2, 7
Let a(l) be the third derivative of -88 - 1/30*l**5 + 11/12*l**4 + l**2 - 10/3*l**3 + 0*l. What is h in a(h) = 0?
1, 10
Suppose -23*a - 3*a = 4004. Let t be 21/18*(-330)/a. Let l - 7/2*l**2 + 0 + 2*l**4 - t*l**3 = 0. Calculate l.
-1, 0, 1/4, 2
Let r(p) be the second derivative of -p**6/75 + p**4/30 + 1376*p. Factor r(g).
-2*g**2*(g - 1)*(g + 1)/5
Let -1645*t - 3173*t**2 + 1577*t**2 + 1591*t**2 = 0. What is t?
-329, 0
Let c(u) be the first derivative of u**3/9 - 67*u**2/3 - 695*u/3 - 3126. Factor c(y).
(y - 139)*(y + 5)/3
Suppose 15*o = 2806 - 466. Let j = o - 154. Factor -39/2*y - 9/2*y**j + 15.
-3*(y + 5)*(3*y - 2)/2
Let l(b) be the first derivative of -23*b**5/10 - 13*b**4/8 + 6*b**3 - 1916. Factor l(s).
-s**2*(s - 1)*(23*s + 36)/2
Let u(j) = -j**3 - 20*j**2 + 19*j - 13. Let b be u(-21). Suppose 4*i + s - 3 = 58, -s = 2*i - b. Factor 33*z**3 - 14*z**3 - 17*z**3 + 10*z**5 - 4*z**2 + i*z**4.
2*z**2*(z + 1)**2*(5*z - 2)
Factor 2586*b - 15*b**2 + 2837*b + 261 - 4997*b.
-3*(b - 29)*(5*b + 3)
Suppose -103*j = -71 - 135. Let n(d) be the second derivative of 0*d**4 - 