in t(g) = 0?
-3, 1
Factor -19*f**4 + 21*f**3 - 13/2*f + 11/2*f**5 + 3 - 4*f**2.
(f - 1)**4*(11*f + 6)/2
Let k(y) be the first derivative of -1/18*y**3 - 15 - 1/12*y**2 + 0*y. Factor k(p).
-p*(p + 1)/6
Let u(m) be the first derivative of m**4/96 - m**3/6 + m**2 - 19*m - 8. Let a(x) be the first derivative of u(x). Determine k, given that a(k) = 0.
4
Let q be (-5)/(110/44) - (3 + (-73)/13). Determine s, given that 0 + 2/13*s**2 + q*s = 0.
-4, 0
Let y = 193250/11 + -17568. Suppose -2/11*d**5 + 0*d**3 + 0 + 4/11*d**4 - 4/11*d**2 + y*d = 0. What is d?
-1, 0, 1
Let b(o) be the first derivative of 2*o**3/15 + o**2/5 - 12*o/5 - 94. Determine c, given that b(c) = 0.
-3, 2
Let z(r) be the second derivative of 15*r**7/14 + 17*r**6 + 31*r**5 + 50*r**4/3 + 17*r + 6. Factor z(s).
5*s**2*(s + 10)*(3*s + 2)**2
Suppose v - 1 = -2*q, q - 7 = 2*q + 3*v. Let l be 1 - (-3 + q) - 2. Suppose 4*y**2 + 3*y**2 + l + 2 + 6*y - y**2 + 2*y**3 = 0. What is y?
-1
Let y(z) = 5*z**5 - 120*z**4 - 185*z**3 - 95*z**2. Let u(a) = -a**5 + 20*a**4 + 31*a**3 + 16*a**2. Let l = 60 + -95. Let n(j) = l*u(j) - 6*y(j). Factor n(q).
5*q**2*(q + 1)**2*(q + 2)
Let x(v) be the third derivative of 0*v - 11/30*v**5 + 0 + 4/3*v**3 + 0*v**4 + 3/20*v**6 - 2/105*v**7 + 5*v**2. Suppose x(j) = 0. Calculate j.
-1/2, 1, 2
Let m(k) be the second derivative of k**4/3 + 16*k**3/3 - 2*k + 3. Determine c, given that m(c) = 0.
-8, 0
Let p(y) = y**4 + 19*y**3 + 20*y**2 - 11*y - 29. Let m(s) = -s**3 + s**2 + s - 1. Let k(l) = -21*m(l) - 3*p(l). Suppose k(x) = 0. What is x?
-9, -2, 1
Let c(r) be the third derivative of r**5/60 + r**4/2 + r**2 + 49*r. Factor c(o).
o*(o + 12)
Determine d, given that -8*d**2 - 4*d**3 + 14*d + 2*d + 62504 - 62472 = 0.
-2, 2
Let r = 55 + -48. Suppose r*d - 12 = d. Factor -1/7*t**d + 1/7 + 1/7*t - 1/7*t**3.
-(t - 1)*(t + 1)**2/7
Let q(u) = -u**2 - 55*u - 682. Let y be q(-36). Determine d, given that 1/5*d**y + 4*d + 20 = 0.
-10
Let t(d) be the third derivative of 0*d**4 + 8*d**2 + 0 + 0*d**3 + 0*d + 1/150*d**6 - 1/75*d**5. Find u, given that t(u) = 0.
0, 1
Let a be (-20)/(-10)*(-2)/(-20). Let p(w) be the second derivative of 1/60*w**4 + 0 + w - a*w**2 - 1/30*w**3. Factor p(v).
(v - 2)*(v + 1)/5
Let i = 6362/597 + 2/199. Factor i + 2/3*x**3 + 16*x + 6*x**2.
2*(x + 1)*(x + 4)**2/3
Let x be 0 + (-5)/1*57/(-190). Factor -u + 0 + x*u**2 - 1/2*u**3.
-u*(u - 2)*(u - 1)/2
Let f(j) = 2*j**2 + 11*j + 8. Suppose 0 = -5*p + p - 20. Let d be f(p). Factor 0 - d*h + 3*h**2 - 3/4*h**3.
-3*h*(h - 2)**2/4
Solve 6*q - 20/3*q**2 + 2/3*q**3 + 0 = 0.
0, 1, 9
Let s(j) be the second derivative of -1/3*j**3 + 0*j**2 - 3*j + 0 - 1/5*j**4 - 1/50*j**5. Let s(l) = 0. Calculate l.
-5, -1, 0
Let y = 21303/5 - 4257. Determine x, given that -y - 12/5*x - 2/5*x**2 = 0.
-3
Suppose -i + 5*w = -5*i + 12, -3*i + 2*w = -9. Suppose u - l = -3*l, 0 = -3*u + i*l + 27. Determine f so that -4*f**2 - u*f**3 + 7*f**2 + 2*f**4 + f**4 = 0.
0, 1
Let a(u) be the third derivative of 1/45*u**5 + 0*u**3 - u**2 + 0 + 0*u + 1/12*u**4 - 1/180*u**6. Factor a(c).
-2*c*(c - 3)*(c + 1)/3
Suppose -4*j - 5*g - 22 = 0, 3*j + 3*g = -0*j - 18. Let f = 11 + j. Factor -8*b**2 - 4*b - 1 - 3 + 14*b + 2*b**f.
2*(b - 2)*(b - 1)**2
Let p(w) = -w**2 + 3*w. Let c be p(4). Let r(m) = 6*m**3 - 2*m**2 + 4*m. Let q(g) = 5*g**3 - 3*g**2 + 4*g. Let y(z) = c*q(z) + 3*r(z). Factor y(s).
-2*s*(s - 2)*(s - 1)
What is f in 42*f**3 + 51 + 14*f**4 - 3*f**4 + 144*f**2 + 104*f - 9*f**4 + 46*f - 5*f**4 = 0?
-1, 17
Let f(x) be the third derivative of x**8/33600 - x**7/4200 + x**4/2 + 27*x**2. Let t(a) be the second derivative of f(a). Factor t(m).
m**2*(m - 3)/5
Suppose 3*q + 5*z + 14 = z, q = -5*z - 23. Let c(j) = -j**3 - j**2 - 1. Let u(t) = -4*t**3 - 4*t**2 - 2. Let a(r) = q*c(r) - u(r). Factor a(i).
2*i**2*(i + 1)
Let w = -64 + 67. Factor 8*s - 2*s**4 - 4 + 9*s**w - 18*s**2 + 6*s + s**3.
-2*(s - 2)*(s - 1)**3
Let j(u) = u**2 + 6*u + 4. Let y be j(-12). Let n = y + -73. Suppose 1/4*m**2 + 0*m - 1/4*m**4 + 1/4*m**5 - 1/4*m**n + 0 = 0. What is m?
-1, 0, 1
Let l be (-2)/4 + 27/(-2). Let w = -9 - l. Solve -1 + 9*y**5 + 3*y**4 - 2*y**2 + 3*y - 14*y**3 - 5*y + 2*y + w*y = 0 for y.
-1, 1/3, 1
Let i be (-679)/(-582)*24/10. Solve -i*j - 2 - 4/5*j**2 = 0.
-5/2, -1
Factor -8/5*s**2 + 1/5*s**3 + 44/5 - 37/5*s.
(s - 11)*(s - 1)*(s + 4)/5
Let q(o) be the second derivative of o**4/36 - o**3/3 - 20*o**2/3 - 4*o + 116. Factor q(j).
(j - 10)*(j + 4)/3
Factor 24/7 + 26/7*s**2 - 50/7*s.
2*(s - 1)*(13*s - 12)/7
Let j be ((-17)/2 - -6) + 356/104. Determine z so that 14/13*z**2 - 46/13*z + j = 0.
2/7, 3
Factor 0*l**2 - 1/3*l**4 + 2/3*l**3 + 0 + 0*l.
-l**3*(l - 2)/3
Let h(g) = -11*g - 571. Let v be h(-52). Determine t, given that -t**2 + v + 1/2*t - 1/2*t**3 = 0.
-2, -1, 1
Suppose -6*a + 8*a = -z + 4, -8 = -4*a. Let o(b) be the third derivative of -1/840*b**6 + 0 + 1/210*b**5 + z*b**3 - 1/168*b**4 - 6*b**2 + 0*b. Factor o(r).
-r*(r - 1)**2/7
Let k(u) be the first derivative of -3/5*u**5 + 0*u**2 + 0*u + 3*u**4 + 12 - 3*u**3. Factor k(a).
-3*a**2*(a - 3)*(a - 1)
Let t be 1673/119 - (-1 + 14). Factor -2/17 - 14/17*r - 30/17*r**2 - t*r**3.
-2*(r + 1)*(3*r + 1)**2/17
Suppose -19*r + 18*r + 3*v = 1, -3*v = -3. Let k(z) be the second derivative of 1/14*z**r + 0 + 4*z - 1/21*z**3 + 1/84*z**4. Determine i, given that k(i) = 0.
1
Let g(v) = -8*v**2 + 53*v - 125. Let j(h) = -9*h**2 + 54*h - 125. Let c(n) = 4*g(n) - 3*j(n). Suppose c(b) = 0. What is b?
5
Let d = 4237/35 + -121. Let f(i) be the first derivative of 4/7*i + 5/14*i**4 + i**2 + 5 + 6/7*i**3 + d*i**5. Factor f(c).
2*(c + 1)**3*(c + 2)/7
Let n(s) be the first derivative of -15/7*s**3 - 18/7*s**2 + 12/7*s + 4 - 3/7*s**4. What is f in n(f) = 0?
-2, 1/4
Let z(x) = -2*x - 6. Let t(w) = w + 4. Let u be t(-8). Let n be z(u). What is h in -15*h**3 + n*h**5 - 2*h**2 + 0*h**5 - 6*h**4 + 21*h**3 = 0?
0, 1
Let 4*y**2 + 0 - 17/3*y**3 + 4/3*y - y**4 + 4/3*y**5 = 0. What is y?
-2, -1/4, 0, 1, 2
Let j(g) = -g**5 + g**4 - g**3 + g**2. Let d = -51 - -50. Let m(h) = -2*h**5 + 14*h**4 + 4*h**3 - 28*h**2 - 64*h - 32. Let f(a) = d*m(a) + 4*j(a). Factor f(o).
-2*(o - 2)*(o + 1)*(o + 2)**3
Let w(g) = g**2 - 2*g + 1. Let t be ((-9)/(-27))/((-1)/(-3)). Let m be w(t). Factor m + 0*d + 1/3*d**2 - 1/3*d**3.
-d**2*(d - 1)/3
Let q(p) be the first derivative of p**5/10 + p**4/4 - p**3/6 - p**2/2 + 676. Factor q(s).
s*(s - 1)*(s + 1)*(s + 2)/2
Factor 12*f - 32/3*f**2 + 0 - 4/3*f**3.
-4*f*(f - 1)*(f + 9)/3
Let j(s) = -10*s**2 + 13*s + 4. Let y(a) = 8 + 2*a**2 - 5*a**2 - 7 + 4*a. Suppose -5*c = -c - 8. Let h(u) = c*j(u) - 7*y(u). Let h(k) = 0. Calculate k.
1
Let m(d) = 5 + 10 + 4 + 2*d. Let z be m(-8). Factor 2/3*r**4 + 2/3*r**2 + 4/3*r**z + 0 + 0*r.
2*r**2*(r + 1)**2/3
Let x(n) be the second derivative of 9/2*n**3 + 33/20*n**5 + 0 - 3*n**2 - 3/10*n**6 + 12*n - 15/4*n**4. Suppose x(m) = 0. What is m?
2/3, 1
Factor -2/9*m**3 + 0 - 3200/9*m - 160/9*m**2.
-2*m*(m + 40)**2/9
Suppose -3*i = -5*t - 17 - 4, 2*i - 3*t - 13 = 0. Suppose 3*n = -i*n + 10. Factor -p**n + 6*p - p**2 - 3 - p**2 + 0.
-3*(p - 1)**2
Let h(n) be the first derivative of n**6/24 + n**5/20 - 5*n**4/8 - 5*n**3/6 + 9*n**2/8 + 9*n/4 + 71. Let h(w) = 0. Calculate w.
-3, -1, 1, 3
Let k(n) be the second derivative of n**5/4 - 185*n**4/12 + 1615*n**3/6 + 1805*n**2/2 - 45*n. Factor k(g).
5*(g - 19)**2*(g + 1)
Let r = 17 + -15. Let q be (-2)/(3 + 27/(-6)) + 0. Factor q + 2/3*i**2 - r*i.
2*(i - 2)*(i - 1)/3
Let w(x) be the first derivative of x**4/3 + 2*x**3/3 - 4*x**2 + 14*x - 17. Let d(z) be the first derivative of w(z). Find k such that d(k) = 0.
-2, 1
Let j(v) be the second derivative of -v**6/90 + v**5/20 + v**4/12 - 7*v**3/18 - v**2 - 3*v + 96. Factor j(n).
-(n - 3)*(n - 2)*(n + 1)**2/3
Let g(z) be the second derivative of -5*z**4/12 + 35*z**3 + 675*z**2/2 - 316*z. Factor g(f).
-5*(f - 45)*(f + 3)
Let i(a) be the second derivative of -5*a**4/12 - 85*a**3/6 - 75*a**2 - 87*a. Factor i(j).
-5*(j + 2)*(j + 15)
Find r such that 0*r + 6/7*r**5 + 48/7*r**2 - 30/7*r**4 + 12/7*r**3 + 0 = 0.
-1, 0, 2, 4
Let u be 1 + (1 + -3 - -3). Let g**u - 82 - 2*g**2 + 78 - 5*g = 0. Calculate g.
-4, -1
Let p(z) be the third derivative of z**5/390 + 7*z**4/156 + 4*z**3/13 + 16*z**2 + 2. Find j, given that p(j) = 0.
-4, -3
Solve 403 - 488