, given that 2/11*n**3 + 288/11 - 224/11*n - 6*n**2 = 0.
-4, 1, 36
Let h(j) be the first derivative of -1/30*j**5 - 5/12*j**2 + 5/24*j**4 - 1/6*j**3 + 2/3*j + 9. Solve h(b) = 0.
-1, 1, 4
Let -9/2*u**5 + 0 + 6*u**4 + 3*u**3 + 3/2*u - 6*u**2 = 0. Calculate u.
-1, 0, 1/3, 1
Let g(f) be the third derivative of 0*f**3 + 0*f + 1/35*f**7 - 1/3*f**4 + 0 + 2/5*f**5 + 54*f**2 - 11/60*f**6. Find j such that g(j) = 0.
0, 2/3, 1, 2
Let u = 24 - 12. Let s be ((-4)/(-4))/(2/u). Suppose -24*x**2 - 4 + 10*x**2 - 21*x**2 + 9*x**4 - s*x**3 + 24*x = 0. What is x?
-2, 1/3, 2
Factor -54 + 81/2*p - 9*p**2 + 1/2*p**3.
(p - 12)*(p - 3)**2/2
Factor -96/5*n**2 + 0 - 2/5*n**3 + 0*n.
-2*n**2*(n + 48)/5
Determine y, given that 1156/3 - 34/3*y**3 - 95*y**2 + 136/3*y - 1/3*y**4 = 0.
-17, -2, 2
Let z be 1 + (-14)/18 + (-1958)/(-99). Let w be (108/(-81))/(z/(-6)). Suppose -w*b**2 + 0 - 2/5*b = 0. Calculate b.
-1, 0
Let g(x) = -x**2 - 3*x + 9. Let l be g(-4). Suppose 2*y = -l*f + 8, 3*f = -y + 4*y - 12. Factor 2/3*n**2 + 1/3*n**y + 0*n + 0 + n**3.
n**2*(n + 1)*(n + 2)/3
Let q = 2/23209 + 371334/116045. What is h in -1/5*h**2 - q + 8/5*h = 0?
4
Suppose a + 6*o - 28 = 2*o, 3*o - 3 = 0. Let p = -22 + a. Factor -12*g**4 - 6*g**2 + 3*g**2 + 2*g**p - 11*g**3 - g**2.
-g**2*(3*g + 2)*(4*g + 1)
Let s(p) = -p**3 - 3*p**2 + 43*p + 105. Let o be s(-7). Factor -1/5*y**3 + 0*y**2 + 0 + o*y - 1/5*y**5 + 2/5*y**4.
-y**3*(y - 1)**2/5
Suppose 4*p - 10*p = -12. Let v(a) = -a**2 + 8*a - 9. Let o be v(6). Factor -373*u**o - 2*u**2 + 9*u**2 - 3*u**p - 4 + 369*u**3 + 4*u.
-4*(u - 1)**2*(u + 1)
Let -220*g**4 - 420*g**3 + 2*g**5 - 18488*g**2 + 18228*g**2 - 38*g**5 - 24*g = 0. Calculate g.
-3, -2, -1, -1/9, 0
Let m(z) be the first derivative of z**6/33 - 4*z**5/55 - z**4/11 + 16*z**3/33 - 7*z**2/11 + 4*z/11 + 78. Determine f, given that m(f) = 0.
-2, 1
Let j = 5445 + -2286899/420. Let h(q) be the third derivative of 1/21*q**3 + 0 + 0*q - 1/84*q**4 - q**2 - 1/210*q**5 + j*q**6. Factor h(o).
2*(o - 1)**2*(o + 1)/7
Let h(n) be the third derivative of -n**7/70 - n**6/40 + 7*n**5/20 + 13*n**4/8 + 3*n**3 - n**2 + 9. Find j, given that h(j) = 0.
-2, -1, 3
Let v(n) be the second derivative of -1/8*n**6 - 15/8*n**2 + 3/40*n**5 + 0 - 1/56*n**7 + 25*n - 1/8*n**3 + 5/8*n**4. Determine g so that v(g) = 0.
-5, -1, 1
Let o = -14 - -14. Let w be 0*(24/9 + (-10)/6). Factor 1/2*l**2 + w*l**3 - 1/2*l**4 + 0*l + o.
-l**2*(l - 1)*(l + 1)/2
Let d(u) = -2*u**3 + 6*u**2 + 6*u - 5. Let v(b) be the third derivative of b**5/60 + b**4/24 - b**3/6 - 9*b**2. Let a(x) = d(x) - 3*v(x). Factor a(s).
-(s - 2)*(s + 1)*(2*s - 1)
Let g(l) = -4 + 7 + 2 + 13*l**2 - 6*l - 3*l**3. Let r(c) be the second derivative of c**4/12 + c**3/6 + c**2/2 - 6*c. Let z(s) = -2*g(s) + 6*r(s). Factor z(h).
2*(h - 2)*(h - 1)*(3*h - 1)
Let d be 106/20 + 30/(-100). Let b(z) be the second derivative of -1/84*z**7 + 0*z**3 + 3/40*z**d + 0*z**6 + 0 + 0*z**2 + 1/12*z**4 + 3*z. Factor b(m).
-m**2*(m - 2)*(m + 1)**2/2
Let s = 1144 + -17158/15. Factor s*k**2 - 2/15*k - 4/15.
2*(k - 2)*(k + 1)/15
Let g(w) be the first derivative of -9*w**5/5 - 33*w**4/2 + 73*w**3 - 102*w**2 + 60*w - 53. Suppose g(d) = 0. Calculate d.
-10, 2/3, 1
Suppose 4*l + l + 2 = -4*u, 5*l = -10. Solve 80*o**3 - 24*o**u - 58*o**2 + 45*o - 32*o**2 - 6*o**2 = 0 for o.
0, 3/4
Suppose 11 = -k - 7. Let z = k - -25. Find l such that -4*l**2 + l**3 + z*l**2 + 8*l - 6*l = 0.
-2, -1, 0
Let o(c) be the first derivative of c**6/24 - c**5/2 + 13*c**2 + 19. Let u(s) be the second derivative of o(s). Factor u(b).
5*b**2*(b - 6)
Let c(y) be the third derivative of y**5/12 - 5*y**4/3 - 50*y**3/3 - 628*y**2. Factor c(n).
5*(n - 10)*(n + 2)
Solve 8/11*s + 2/11*s**3 + 14/11*s**2 - 24/11 = 0.
-6, -2, 1
Let c = 1300 - 1300. Find q, given that 0*q + 0*q**2 - 2/13*q**3 + 0 + c*q**4 + 2/13*q**5 = 0.
-1, 0, 1
Let n(f) = -3*f + 2*f + 1 + 9. Let i be n(5). Determine s, given that -1 - 3*s**4 - 12*s**i - 2 + 3*s + 15*s**5 - 6*s**3 + 6*s**2 = 0.
-1, 1
Let x be ((-4)/(-38) - (-19)/(15162/(-5404)))/(-2). Solve -2/3*f**2 - x - 4*f = 0 for f.
-5, -1
Suppose -29*i - 4*y + 1 = -28*i, 0 = -4*i + y + 21. Let b(f) be the third derivative of 0 - 1/80*f**i - 25/8*f**3 - 4*f**2 - 5/16*f**4 + 0*f. Factor b(g).
-3*(g + 5)**2/4
Let a(v) be the second derivative of -v**5/190 - v**4/114 + 4*v**3/57 + 4*v**2/19 + 6*v - 4. Factor a(y).
-2*(y - 2)*(y + 1)*(y + 2)/19
Let f = 4355 + -4355. Solve 0*q + 0 + f*q**2 - 1/3*q**5 + 2/3*q**4 - 1/3*q**3 = 0.
0, 1
Let x = -42 + 85/2. Let q(z) be the second derivative of -3*z**2 - 8*z + 1/4*z**4 + 0 + x*z**3. Determine c so that q(c) = 0.
-2, 1
Let z(p) = 4*p**2 + 243*p + 911. Let w be z(-4). Factor 2/3*v**w + 0*v + 0*v**2 + 1/3*v**4 + 0.
v**3*(v + 2)/3
Let q(g) be the first derivative of g**4/10 - 2*g**3/5 - 2*g**2 + 202. Suppose q(d) = 0. What is d?
-2, 0, 5
Let f(y) be the second derivative of -y**4/12 + 29*y**3/6 + 15*y**2 - 82*y. Factor f(o).
-(o - 30)*(o + 1)
Factor 280*g + 147 - 83/3*g**2 + 2/3*g**3.
(g - 21)**2*(2*g + 1)/3
Let h = 41 - 20. Let u = 23 - h. Suppose 0*d**u + 0*d + 0*d**3 + 2/11*d**5 - 2/11*d**4 + 0 = 0. Calculate d.
0, 1
Let q(l) = 5*l**2 + 4*l + 3. Let m(d) = 21*d**2 + 18*d + 13. Let w(o) = -6*m(o) + 26*q(o). Factor w(v).
4*v*(v - 1)
Factor 245*s + 1 + 5*s**3 + 6*s**3 - 6*s**3 - 1 - 70*s**2.
5*s*(s - 7)**2
Let y(v) = v**2 + 2*v - 120. Let i be y(10). Let b(s) be the second derivative of -1/120*s**5 + 0 + i*s**3 + 2*s + 1/72*s**4 + 0*s**2. Factor b(g).
-g**2*(g - 1)/6
Factor -2/5*x**3 + 28*x**2 - 28 + 2/5*x.
-2*(x - 70)*(x - 1)*(x + 1)/5
Let d = -98572/3 + 32858. Solve d*p**2 + 0 - 2/9*p**3 - 4/9*p = 0 for p.
0, 1, 2
Factor 2*g - 60/13 + 2/13*g**2.
2*(g - 2)*(g + 15)/13
Let m(s) be the second derivative of -7*s**5/50 + s**4/2 - 3*s**3/5 + s**2/5 + 42*s + 6. Let m(d) = 0. What is d?
1/7, 1
Let p = -1740 + 1740. Find z, given that 0*z**2 + 2/7*z**3 - 2/7*z + p = 0.
-1, 0, 1
Let o(j) be the first derivative of -7*j**3/4 - 36*j**2 + 21*j + 89. Factor o(p).
-3*(p + 14)*(7*p - 2)/4
Let k(h) be the first derivative of -1/6*h**3 + 1/36*h**4 + h + 3 + 1/3*h**2. Let g(z) be the first derivative of k(z). Find a such that g(a) = 0.
1, 2
Let d(l) be the first derivative of -8*l**3/17 + 5*l**2/17 + 14*l/17 + 132. Factor d(q).
-2*(q - 1)*(12*q + 7)/17
Determine f so that 4/3*f**2 - 8/3*f - 20 = 0.
-3, 5
Suppose -1/4*h**4 - 3/2*h**3 + 0 + 0*h**2 + 0*h = 0. What is h?
-6, 0
Suppose 9*h**2 - 20*h**3 + 22*h**3 - 6*h - 5*h**3 = 0. What is h?
0, 1, 2
Let q = 52103/612 - 1563/17. Let c = -41/9 - q. Factor -7/4*f**2 - 1/2 - c*f.
-(f + 1)*(7*f + 2)/4
Let a(i) be the first derivative of -i**7/840 + i**5/80 + i**4/48 - 5*i**2/2 + 16. Let w(j) be the second derivative of a(j). Factor w(l).
-l*(l - 2)*(l + 1)**2/4
Factor -108/5 - 96/5*r**3 - 312/5*r**2 + 4/5*r**4 - 64*r.
4*(r - 27)*(r + 1)**3/5
Let d(m) be the second derivative of -m**9/4536 - m**8/630 - m**7/315 + 4*m**3 - 25*m. Let x(i) be the second derivative of d(i). Factor x(g).
-2*g**3*(g + 2)**2/3
Factor 3/2*b**2 + 51/2*b + 0.
3*b*(b + 17)/2
Let g(k) = 10*k**3 - 345*k**2 + 655*k - 310. Let l(a) = 5*a**3 - 173*a**2 + 328*a - 154. Let c(w) = 3*g(w) - 5*l(w). Determine t, given that c(t) = 0.
1, 32
Let d(w) be the first derivative of w**4/6 + 2*w**3/9 - 17*w**2/3 + 10*w - 106. Suppose d(k) = 0. What is k?
-5, 1, 3
Let x(h) be the first derivative of 10 + 0*h**2 + 1/20*h**5 - 1/6*h**3 + 0*h**4 + 1/4*h. Factor x(d).
(d - 1)**2*(d + 1)**2/4
Let o = -24317 - -24437. Factor 96 + o*i + 51/2*i**2 + 3/2*i**3.
3*(i + 1)*(i + 8)**2/2
Let w(c) = -c**3 - 3*c**2 + 3. Let y be w(-3). Let j(x) be the first derivative of -1/2*x**4 + 6 + 0*x**y + 0*x + 0*x**2. Determine i so that j(i) = 0.
0
Suppose 0 = -32*f + 25*f. Let i(j) be the second derivative of -1/45*j**6 + 0*j**2 - 3*j + 0*j**4 + f*j**3 + 0 + 1/30*j**5. Suppose i(x) = 0. Calculate x.
0, 1
Let z(d) be the second derivative of -1/96*d**4 + 1/12*d**3 + 5/16*d**2 + 0 + 9*d. What is c in z(c) = 0?
-1, 5
Let h(d) be the first derivative of 4*d**6/3 + 14*d**5/5 - d**4 + 117. Factor h(l).
2*l**3*(l + 2)*(4*l - 1)
Let h be (32/12)/(-4)*(-27)/2. Suppose 15*p**3 - 2*p**2 - 15*p + 6 + 0*p**2 - h*p**4 + 5*p**2 = 0. What is p?
-1, 2/3, 1
Let v(h) = -2*h - 14*h**3 - 5*h**2 + 29*h**3 - 14*h**3. Let u(r) = 6*r**3 - 26*r**2 - 10*r