- 2)/5
Suppose g + 1 = 2*p - 4, -3*p + 5*g + 25 = 0. Suppose -f + 6 = q + q, p = -4*q + 8. Determine v, given that 0 + 0*v**f - 2/9*v + 2/9*v**3 = 0.
-1, 0, 1
Let q(s) be the third derivative of -s**7/140 - s**6/120 + 2*s**3/3 + 3*s**2. Let w(g) be the first derivative of q(g). Factor w(z).
-3*z**2*(2*z + 1)
Let p(l) be the third derivative of 1/490*l**7 + 0 - 1/70*l**5 + 0*l**3 + 0*l - 1/280*l**6 + 0*l**4 - 32*l**2. Suppose p(u) = 0. What is u?
-1, 0, 2
Let k = 56 - 49. Suppose 10 = 5*l - x, 0*x = 4*l - x - k. Factor -6*o**l + 0 + 0*o - 4/3*o**2 - 14/3*o**4.
-2*o**2*(o + 1)*(7*o + 2)/3
Let o(m) = -m**3 + m**2 + 2*m - 2. Let u be o(1). Suppose 3*g + 7 - 16 = u. Factor -28*d - 2*d**4 - 3*d**4 - 4*d**g + 4*d**2 + d**4 + 32*d.
-4*d*(d - 1)*(d + 1)**2
Let l(f) be the second derivative of -f**4/60 + 13*f**3/10 - 19*f**2/5 + 8*f + 3. Factor l(w).
-(w - 38)*(w - 1)/5
Let g be (2 - (-6 - -8)) + (-64)/(-72). Let 0 - g*w**2 - 4/9*w = 0. Calculate w.
-1/2, 0
Let g be ((-14)/(-42))/(9/(-12) + 1). Let y(r) be the first derivative of r**4 - 12*r + 9 - 10*r**2 - g*r**3. Solve y(l) = 0 for l.
-1, 3
Let j(p) = 11*p**2 + 41*p + 86. Let y(w) = -2*w**2. Let m(d) = -j(d) - 6*y(d). Factor m(t).
(t - 43)*(t + 2)
Let k(p) be the second derivative of -3*p**5/20 + 9*p**4/4 + 5*p**3 + 549*p. Factor k(n).
-3*n*(n - 10)*(n + 1)
Let f = 74 - 60. Let r be (-6)/12 - (-13)/f. Factor r*a**4 + 0*a**3 - 9/7*a**2 + 0 - 6/7*a.
3*a*(a - 2)*(a + 1)**2/7
Let t(l) be the third derivative of l**6/24 + 5*l**5/12 + 35*l**4/24 + 5*l**3/2 - l**2 - 48*l. Factor t(d).
5*(d + 1)**2*(d + 3)
Let y = 12 - 4. Let k(s) = -6*s**2 + 8 - 10 - 17 - 5*s - 2*s - 12*s. Let i(c) = -9*c**2 - 28*c - 28. Let d(b) = y*k(b) - 5*i(b). Suppose d(z) = 0. Calculate z.
-2
Let y = 4613 + -4611. Factor 0*l - 2/9 + 2/9*l**y.
2*(l - 1)*(l + 1)/9
Let m = -4077 + 20593/5. Solve 16/5 + 676/5*a**2 + m*a = 0.
-2/13
Let l(f) be the third derivative of -f**8/13440 + f**7/5040 - f**4/3 - 14*f**2. Let z(x) be the second derivative of l(x). Factor z(w).
-w**2*(w - 1)/2
Suppose -4*n - 9 = 3*z + 2, -23 = -z + 4*n. Solve -z*h**2 + 0*h**4 + 5*h**3 - 7 - 5*h - h**4 + 11 = 0.
-1, 1, 4
Suppose 8*d + 56 = 32. Let r be (-4)/d*(-12)/32*-4. Let -3/2*b**3 + 0 + 3/2*b - 3/2*b**r + 3/2*b**4 = 0. Calculate b.
-1, 0, 1
Factor -82*a**2 + 14*a**3 - 380*a**4 - 58*a**2 - 392*a + 379*a**4 + 12*a**3.
-a*(a - 14)**2*(a + 2)
Factor -10*q + 5/2*q**2 + 10.
5*(q - 2)**2/2
Let a be (21/(-9))/(-56*(-29)/(-1392)). Let 2/7*t**a + 0 + 16/7*t = 0. What is t?
-8, 0
Let c(g) be the first derivative of -4/3*g**3 + 0*g + 5/4*g**5 - 1/2*g**2 - 5/16*g**4 - 11. Factor c(j).
j*(j - 1)*(5*j + 2)**2/4
Let n(d) be the third derivative of -d**6/96 + 19*d**5/80 - 11*d**4/48 - 299*d**2. Let n(q) = 0. Calculate q.
0, 2/5, 11
Let z(o) be the third derivative of 34*o**2 - 1/6*o**3 - 1/60*o**5 + 1/12*o**4 + 0 + 0*o. Factor z(d).
-(d - 1)**2
Let r(b) = b - 1. Let f(h) = -3*h**2 + 5*h - 2. Suppose 5*s + 5 = 15. Suppose 5*n = l + 2*l + s, -6 = -3*n - 3*l. Let i(v) = n*f(v) - 2*r(v). Factor i(w).
-3*w*(w - 1)
Suppose 435*q**4 - 18 + 15*q**3 - 15*q + 21*q**2 - 231*q**4 - 207*q**4 = 0. Calculate q.
-1, 1, 6
Factor 1/2*m**2 + 19/2 - 10*m.
(m - 19)*(m - 1)/2
Solve 48/7*q + 68/7*q**2 + 2*q**3 + 0 - 2/7*q**5 - 8/7*q**4 = 0 for q.
-4, -2, -1, 0, 3
Let i(l) be the second derivative of -12*l**6/5 - 24*l**5/5 - 13*l**4/6 - l**3/3 + 25*l + 2. Suppose i(m) = 0. Calculate m.
-1, -1/6, 0
Let k = 357/2 + -711/4. Factor k*j**3 + 3*j**2 + 15/4*j + 3/2.
3*(j + 1)**2*(j + 2)/4
Suppose 2*f + c = 3*f - 16, 4 = 2*f + 5*c. Let u be 6*(-10 + 9 - f/(-7)). Solve -8*m**5 + u*m**4 - 202/7*m**2 + 72/7*m - 8/7 + 164/7*m**3 = 0 for m.
-2, 1/4, 2/7, 1
Let b = -101381/3704 + 219/8. Let y = b - -912/3241. Factor -y*u + 0 - 2/7*u**3 - 4/7*u**2.
-2*u*(u + 1)**2/7
Let 38/23 + 36/23*b - 2/23*b**2 = 0. What is b?
-1, 19
Let l be -3 + 4 - 5*9/(-15). Solve -15/4*z**2 + 5/4*z**l + 25/4*z - 5/4*z**3 - 5/2 = 0 for z.
-2, 1
Let y(c) be the first derivative of c**3 - 18*c + 3/2*c**2 - 5. Factor y(u).
3*(u - 2)*(u + 3)
Factor 12*q - 9/5*q**3 + 3/5*q**2 + 36/5.
-3*(q - 3)*(q + 2)*(3*q + 2)/5
Suppose h + 5 = -t + 7, 17 = 4*t - 5*h. Suppose 4*l = 3*l + t. Factor 2*s - 6*s**2 - 7*s**2 - 24*s**l + 15*s**2.
-2*s*(3*s - 1)*(4*s + 1)
Factor 2*s**2 + 5*s**3 - 4*s - s + 0*s - 154*s**2 + 165 - 13*s**2.
5*(s - 33)*(s - 1)*(s + 1)
Let y(r) be the first derivative of 3*r**5/5 - 117*r**4/4 - 168*r**3 - 258*r**2 + 203. Factor y(a).
3*a*(a - 43)*(a + 2)**2
Let u(v) be the second derivative of 35*v**4/4 - 103*v**3/6 - v**2 + 368*v. Find f, given that u(f) = 0.
-2/105, 1
Let k(f) be the first derivative of f**4/9 + 17*f**3/9 - 3*f**2 - 19*f - 12. Let x(z) be the first derivative of k(z). Factor x(h).
2*(h + 9)*(2*h - 1)/3
Let z(r) be the third derivative of r**7/10080 + r**6/720 - r**5/96 - r**4/6 - 22*r**2. Let a(i) be the second derivative of z(i). Suppose a(n) = 0. What is n?
-5, 1
Factor -2/5*c + 8/5 - 1/5*c**2.
-(c - 2)*(c + 4)/5
Let f(p) be the second derivative of -p**7/42 - p**6/30 + 7*p**5/10 + 7*p**4/3 - 4*p**3/3 - 16*p**2 - 22*p - 4. Factor f(j).
-(j - 4)*(j - 1)*(j + 2)**3
Let p(n) be the second derivative of n**8/560 - n**6/40 + n**5/20 + 13*n**3/6 + 6*n. Let f(r) be the second derivative of p(r). Factor f(t).
3*t*(t - 1)**2*(t + 2)
Let k be (-63)/(-33) - (-14)/154. Factor 1/4*d**k - 3/4 + 1/2*d.
(d - 1)*(d + 3)/4
Let g(b) be the third derivative of 1/24*b**4 + 1/24*b**3 + 1/60*b**5 - 22*b**2 + 0*b + 0 - 1/168*b**7 - 1/240*b**6 - 1/672*b**8. Find i, given that g(i) = 0.
-1, -1/2, 1
Let z(v) = -v**2 - v. Let b(g) = -2*g**2 - 22*g - 20. Let a(y) = -b(y) + z(y). Let a(d) = 0. Calculate d.
-20, -1
Factor -8 + 27*g**4 - 446/3*g**2 + 212/3*g - 39*g**3.
(g - 3)*(g + 2)*(9*g - 2)**2/3
Suppose 970*d = -3*n + 975*d + 35, -2*d = -4*n + 28. Factor -21870*g - 39366 - 2/3*g**n - 4860*g**2 - 30*g**4 - 540*g**3.
-2*(g + 9)**5/3
Let t(m) be the first derivative of m**6/2 + 12*m**5/5 - 3*m**4/2 - 12*m**3 + 27*m**2/2 + 141. Factor t(g).
3*g*(g - 1)**2*(g + 3)**2
Factor -2*y**4 + 11 + 3*y**4 - 3*y**2 - 26 + 11 + y + 6 - y**3.
(y - 2)*(y - 1)*(y + 1)**2
Let r be (-16 + (-87)/(-6))*-2. Let -14/9*u**4 - 17/9*u**r - 2/9 + 2/3*u**2 + 7/9*u = 0. Calculate u.
-1, 2/7, 1/2
Let h(b) = -b**2 - 2*b + 6. Let d(l) = -10 + 2*l - 6*l - 2*l**2 + 23. Let g(u) = 6*d(u) - 13*h(u). Factor g(k).
k*(k + 2)
Determine x, given that 3/5*x**3 + 801/5*x + 81*x**2 + 399/5 = 0.
-133, -1
Find q, given that 23*q**2 - q**2 - 6*q**2 - 111*q + 27*q + 20 = 0.
1/4, 5
Let j(w) be the third derivative of 2*w**7/105 - w**6/4 + 29*w**5/30 - 7*w**4/4 + 5*w**3/3 - 7*w**2 - 23. Factor j(q).
2*(q - 5)*(q - 1)**2*(2*q - 1)
Let h(i) be the second derivative of -i**5/80 - 11*i**4/48 + i**3/2 - 2*i + 5. Factor h(y).
-y*(y - 1)*(y + 12)/4
Let y(l) = -l**2 - l. Let j(x) = x**2 - 208*x - 11025. Let w(t) = -j(t) - 2*y(t). Solve w(m) = 0 for m.
-105
Let l = 8340 - 8340. Solve l + 5/2*r**3 + 0*r + 5/6*r**2 = 0 for r.
-1/3, 0
Let z be 2 + ((-50)/(-3))/(-10). Let o(k) be the first derivative of z*k + 1/9*k**3 - 3 + 1/3*k**2. Find q, given that o(q) = 0.
-1
Let i be -5 - -3 - ((-486)/4)/3. Let k = i - 38. Suppose k*l + 0 - 1/2*l**2 = 0. Calculate l.
0, 1
Let b(t) be the first derivative of t**6/6 + 2*t**5/5 - 3*t**4/4 - 4*t**3/3 + 2*t**2 - 11. Factor b(u).
u*(u - 1)**2*(u + 2)**2
Let q(n) be the second derivative of n**4/6 - 2*n**3 + 5*n**2 + 269*n. Factor q(u).
2*(u - 5)*(u - 1)
Let z(p) = 5*p**3 - 2*p**2 + p + 13. Let h be z(-3). Let n = 148 + h. Let 1/4 - 11/4*i**4 - 7/2*i**3 - 3/2*i**2 - 3/4*i**n + 1/4*i = 0. What is i?
-1, 1/3
Let o(l) be the third derivative of 2*l**7/945 + 11*l**6/270 - l**5/5 - 11*l**4/54 + 52*l**3/27 - 845*l**2. Determine a, given that o(a) = 0.
-13, -1, 1, 2
Let q(x) be the second derivative of -1/6*x**4 + 48*x + 0 - 2*x**3 + 0*x**2. Factor q(i).
-2*i*(i + 6)
Let j(r) be the second derivative of -r**7/336 - r**6/24 + 7*r**5/80 + 7*r**4/24 - 53*r**3/48 + 11*r**2/8 - 4*r - 1. Let j(t) = 0. What is t?
-11, -2, 1
Let x(l) be the second derivative of 0 - 12*l - 1/4*l**3 + 3/40*l**5 + 1/8*l**4 - 3/4*l**2. Solve x(p) = 0.
-1, 1
Let y(g) = 15*g - 45. Let i be y(3). Let l(n) be the second derivative of -2/15*n**3 + i*n**2 + 10*n + 0 + 1/30*n**4. Factor l(f).
2*f*(f - 2)/5
Factor -16/9*n*