the second derivative of u(l). Factor q(j).
2*(j - 1)*(j + 1)/7
Let s = 7/552 - -503/3864. Find z, given that -s - 1/7*z + 1/7*z**3 + 1/7*z**2 = 0.
-1, 1
Suppose 4*s - 3*x - 20 = 0, -26 = -3*s - 3*x - 11. Suppose 0*k = s*h + 5*k - 1370, -5*k = -5*h + 1410. Factor -2*y**4 - h*y**3 + 278*y**3.
-2*y**4
Suppose -2*t + 27 = 7*t. Factor -i - 5*i**2 - 3*i - 2*i**t - 9*i**2 + 8*i**2.
-2*i*(i + 1)*(i + 2)
Factor -45*a + a**2 + 80*a - 46*a.
a*(a - 11)
Let p(h) be the first derivative of -h**4/27 + 14*h**3/27 + 23*h - 52. Let x(j) be the first derivative of p(j). Let x(g) = 0. What is g?
0, 7
Factor 264*l**2 + 51*l + 24*l**2 + 20 + 8*l**3 + 105*l - 72*l**3.
-4*(l - 5)*(4*l + 1)**2
Let n(k) be the second derivative of 40*k**7/21 - 100*k**6/3 - 103*k**5/4 - 65*k**4/12 - 2*k - 27. Solve n(c) = 0 for c.
-1/4, 0, 13
Let q(a) be the first derivative of 2*a**3/21 - 40*a**2/7 - 24*a - 314. Find f, given that q(f) = 0.
-2, 42
Let f(w) be the first derivative of -2*w**5/55 - 18*w**4/11 - 216*w**3/11 + 426. Suppose f(n) = 0. Calculate n.
-18, 0
Let n be 3 + (15/5)/(-1) + 4. Let c(p) be the first derivative of 1/15*p**6 + 0*p**3 + 0*p**2 + 0*p + 1/10*p**4 + n + 4/25*p**5. Factor c(b).
2*b**3*(b + 1)**2/5
Let s = -15 + 9. Let a = s + 12. Solve 2*b**3 + 2*b + a + b**3 + 9*b + 4*b + 12*b**2 = 0.
-2, -1
Factor -20*r**2 + 4*r + 0*r**2 + 20 - 15*r**3 - 10 + 21*r.
-5*(r - 1)*(r + 2)*(3*r + 1)
Let h be (-1)/2 + (-77)/(-14). Suppose -i - 5*t + 28 = i, 0 = -h*i - 5*t + 40. Determine a, given that -4 + 3*a**4 + 6*a**3 + 4 - 9*a**2 - i*a**4 = 0.
0, 3
Let o be 3*2*15/36 + -2. Let z(s) be the first derivative of -1/4*s**6 + 3/4*s**4 + 3 + 3/4*s - o*s**3 + 3/20*s**5 - 3/4*s**2. Suppose z(u) = 0. What is u?
-1, 1/2, 1
Let u(m) = m + 8. Suppose 3*g + 10 = -4*w, -16 = 4*g - 0*g + 4*w. Let z be u(g). Determine o so that 4*o - 2*o**2 - 3*o**z + 3*o**2 - 2 = 0.
1
Let a(c) = -2*c**2 - 18*c + 8. Let j(p) = -p**2 - p. Let z be 1/(3/(-1) + 2). Let b(n) = z*a(n) + 6*j(n). Solve b(x) = 0.
1, 2
Let q(h) be the third derivative of h**5/510 + 5*h**4/204 + 2*h**3/17 - 32*h**2 - 3*h. Factor q(v).
2*(v + 2)*(v + 3)/17
Factor -26*c**2 - 329*c + 18*c**3 + 269*c - 16*c**3.
2*c*(c - 15)*(c + 2)
Let m(c) = 39*c + 468. Let z be m(-12). Let y(x) be the third derivative of -1/210*x**6 - 1/14*x**4 + 1/35*x**5 + 0*x + z - 6*x**2 + 2/21*x**3. Solve y(k) = 0.
1
Suppose 3*i**2 - 754 + 784 - 9*i - 12*i = 0. What is i?
2, 5
Let h = 31 - -3. Let r = 34 - h. Factor -1/3*c**2 - c**3 + r*c + 0.
-c**2*(3*c + 1)/3
Let n be ((18/(-24))/3)/(48/(-576)). Factor 0 + 1/4*h**2 - 1/8*h + 0*h**n + 1/8*h**5 - 1/4*h**4.
h*(h - 1)**3*(h + 1)/8
Let r(m) be the first derivative of m**7/1260 - m**6/135 + m**5/60 - 14*m**3/3 + 21. Let y(u) be the third derivative of r(u). Factor y(x).
2*x*(x - 3)*(x - 1)/3
Let c(u) be the second derivative of -2*u**7/35 + 29*u**6/50 + 87*u**5/100 - 37*u**4/20 - 5*u**3/2 + 12*u**2/5 - 51*u. Find k such that c(k) = 0.
-1, 1/4, 1, 8
Let v be (-232)/(-72) - (-2)/(-9). Let h be (-34)/(-12) - ((-8)/v)/4. Suppose -1/2 + 7/4*j**5 + j**2 - 1/2*j**4 + 7/4*j - h*j**3 = 0. Calculate j.
-1, 2/7, 1
Let k(h) be the third derivative of -h**6/200 - 39*h**5/100 + 81*h**4/40 - 41*h**3/10 - 413*h**2. Find j, given that k(j) = 0.
-41, 1
Let c(k) = -110*k + 4073. Let v be c(37). Factor 1 - 4/3*q - 2/3*q**2 - 1/3*q**4 + 4/3*q**v.
-(q - 3)*(q - 1)**2*(q + 1)/3
Let k = 1712 + -13695/8. Solve -3/4*r**2 - 1/4*r**3 + 3/8 + k*r**5 + 3/8*r**4 + 1/8*r = 0 for r.
-3, -1, 1
Let 15349*g**5 + 6*g**4 - 15361*g**5 - 3*g**4 = 0. What is g?
0, 1/4
Let b = -275 + 1382/5. Let t = b + -1. Suppose -1/5 - 2/5*y**3 - t*y**2 - 1/5*y**5 + 3/5*y**4 + 3/5*y = 0. What is y?
-1, 1
Let -7/5*c**2 - 4/5 + 2/5*c**4 - 12/5*c + 3/5*c**3 = 0. What is c?
-2, -1, -1/2, 2
Let x(f) be the third derivative of f**5/20 + 65*f**4/4 - 131*f**3/2 + 146*f**2 - 2. Factor x(z).
3*(z - 1)*(z + 131)
Let m(o) = 35*o**2 - 35. Let s(p) = 6*p + 20*p + 9 - 26*p - 9*p**2. Let d(l) = -4*m(l) - 15*s(l). Factor d(b).
-5*(b - 1)*(b + 1)
Let c = -1020 - -1022. Let t(u) = -2*u**2 + 7*u + 1. Let k be t(3). Let 1/9*d**k + 0*d + 1/9 - 2/9*d**c + 0*d**3 = 0. What is d?
-1, 1
Suppose t - 4 = 3*p, 8*p = 7*p - t + 4. Let i(s) be the third derivative of 4/3*s**3 + 1/10*s**6 + 0*s + 8/15*s**5 - 8*s**2 + p + 7/6*s**4. Factor i(n).
4*(n + 1)**2*(3*n + 2)
Let -2/7*u**3 + 50/7 + 22/7*u**2 - 10*u = 0. Calculate u.
1, 5
Let k(q) be the first derivative of -9/10*q**2 + 1/5*q**3 - 1/60*q**4 - 3 + 7*q. Let v(x) be the first derivative of k(x). Factor v(c).
-(c - 3)**2/5
Let j(f) be the second derivative of -7*f**4 - 337*f**3/2 - 141*f**2 + 566*f. Suppose j(a) = 0. Calculate a.
-47/4, -2/7
Factor -586 + 48*g + 186 - 2*g**2 + 112.
-2*(g - 12)**2
Let v(y) = 126*y**3 - 3*y**2 - 3*y + 4. Let z be v(4). Let f be z/55 + (-4)/(-10). Find b, given that 3*b**4 + 25 + 108*b**2 + 16*b + 30*b**3 + 56 + f*b = 0.
-3, -1
Let p(y) be the third derivative of y**8/56 - y**7/105 - 11*y**6/60 + 3*y**5/10 + y**4/3 - 4*y**3/3 - y**2 + 56. Let p(c) = 0. What is c?
-2, -2/3, 1
Suppose -10/7*m**3 + 0*m + 4/7*m**5 + 0 - 6/7*m**4 + 12/7*m**2 = 0. Calculate m.
-3/2, 0, 1, 2
Suppose -x - 4*x + p = -10, 9 = -2*x + 3*p. Suppose -2*v + x = -1. Factor 7*t**5 + 5*t**3 - 14*t**4 + v*t**2 - 2*t**3 + 2*t**4.
t**2*(t - 1)**2*(7*t + 2)
Let m(w) be the second derivative of -w**5/5 + 2*w**3 + 4*w**2 - 54*w. Factor m(h).
-4*(h - 2)*(h + 1)**2
Determine g so that -72*g + 181 + 16*g - 65 + 80 + 4*g**2 = 0.
7
Let x = 19 + -15. Determine b so that -x - 3*b**3 + 5*b - 2 + 5*b - 2*b**2 + b**3 = 0.
-3, 1
Find z such that -1/4*z**2 + 0 - 6*z = 0.
-24, 0
Let q(j) = 32*j**3 + 178*j**2 + 122*j - 42. Let k(f) = 93*f**3 + 534*f**2 + 365*f - 127. Let c(x) = 6*k(x) - 17*q(x). Factor c(t).
2*(t + 1)*(t + 12)*(7*t - 2)
Let 791*z - 5*z**5 - 776*z + 12*z**3 + 40*z**2 + 18*z**3 = 0. Calculate z.
-1, 0, 3
Let d(z) = -z**3 + 15*z**2 + 15*z. Let b(g) = -2*g**3 + 44*g**2 + 46*g. Let v = -25 + 33. Let o(c) = v*d(c) - 3*b(c). Determine f so that o(f) = 0.
-3, 0
Let z be ((-25)/10 - -1) + 18/4. Suppose -424*j + 4*j**4 - 17*j**3 - 2*j**z + 360*j**2 - 864 - 49*j**3 - 8*j = 0. What is j?
-1, 6
Suppose 0 = 4*t + 4*t. Determine q so that -4 + 8*q**2 + t + 12*q + 2*q**2 + 6*q**2 = 0.
-1, 1/4
Let n(m) be the third derivative of -1/10*m**5 - 4/3*m**3 - 1/2*m**4 + 0 + 0*m - 1/120*m**6 + 13*m**2. Factor n(y).
-(y + 2)**3
Let r(s) = -s**2 + 4*s + 1. Let x(p) = 6*p**2 - 28*p + 10. Let o(w) = -5*r(w) - x(w). Factor o(h).
-(h - 5)*(h - 3)
Let c = -8/15 + 3/5. Let y(a) be the second derivative of 1/30*a**4 + 0 + 0*a**2 + 2*a - c*a**3. Factor y(w).
2*w*(w - 1)/5
Let o(c) be the third derivative of -c**8/2240 - 3*c**7/280 - c**6/16 + 5*c**5/8 + 5*c**4/6 - 32*c**2. Let b(d) be the second derivative of o(d). Factor b(n).
-3*(n - 1)*(n + 5)**2
Let k(l) be the first derivative of l**6/24 + l**5/5 - 9*l**4/4 + 37*l**3/6 - 61*l**2/8 + 9*l/2 + 458. Determine b, given that k(b) = 0.
-9, 1, 2
Let q be (-3)/1 + (-57)/(-20). Let u = q + 2/5. Find i, given that 3/4*i - 1/2*i**2 - 1/4*i**5 - u - 1/2*i**3 + 3/4*i**4 = 0.
-1, 1
Let s = 2526 + -2523. Factor -15/4*b**2 + 6*b - 3 + 3/4*b**s.
3*(b - 2)**2*(b - 1)/4
Let o be (3/12)/(2/48). Let i be 135/o*(-8)/(-80). Determine c, given that 3*c**4 - 1/4 + 23/4*c**3 - 3/4*c + i*c**2 = 0.
-1, -1/4, 1/3
Let r be (6/5)/((-252)/(-80) - 3). Suppose -s - r + 10 = 0. Factor -6/5*g**s + 3/5*g**5 + 0*g**3 + 0 + 6/5*g**4 - 3/5*g.
3*g*(g - 1)*(g + 1)**3/5
Factor 1/2*l**4 + 76*l + 153/2 - 76*l**3 - 77*l**2.
(l - 153)*(l - 1)*(l + 1)**2/2
Let j(r) be the second derivative of r**6/120 - 3*r**5/80 - r**4/8 + r**3/3 - 35*r. What is p in j(p) = 0?
-2, 0, 1, 4
Determine n, given that 8/3 - 4/3*n**3 + 16/3*n**2 - 20/3*n = 0.
1, 2
Let k(x) be the first derivative of -2*x**3/45 - 2*x**2/5 + 14*x/15 - 380. Solve k(g) = 0.
-7, 1
Let t(f) = f**3 + 3*f**2 - 3*f - 7. Let n be t(-3). Find y such that -12*y**4 + 37*y**2 + 15*y**3 + 37*y**2 - 77*y**n = 0.
0, 1/4, 1
Let a = 9916 - 9916. Factor -2/9*u**2 + a - 2/9*u.
-2*u*(u + 1)/9
Factor -16/3 + 2/9*f**2 - 46/9*f.
2*(f - 24)*(f + 1)/9
Factor 5*j + 5/2*j**4 + 10*j**3 + 0 + 25/2*j**2.
5*j*(j + 1)**2*(j + 2)/2
Let s = -1/3807 - -1270/3807. Find l such that -1/3*l**2 + 0*l + s = 0.
-1, 1
Let b(j) be the first derivative of -1/2*j**3 + 52