m(a). Factor x(w).
2*w**2*(w - 1)**2*(w + 1)
Let k = 29945/11 + -2719. Solve -24/11*n**2 + 6/11*n**5 + k*n**3 + 6/11*n + 0 - 24/11*n**4 = 0.
0, 1
Let g(a) be the third derivative of 1/10*a**6 + a**4 - 2 + 0*a - 2*a**2 + 13/30*a**5 + 1/105*a**7 + 4/3*a**3. Factor g(k).
2*(k + 1)**2*(k + 2)**2
Let f(p) be the second derivative of p**6/24 - 11*p**5/80 + 7*p**4/48 - p**3/24 + 141*p. Solve f(n) = 0.
0, 1/5, 1
Let w(h) be the third derivative of h**6/120 + h**5/20 - 2*h**3/3 + 371*h**2. Determine c so that w(c) = 0.
-2, 1
Let j = -609 + 612. Solve 1/2*y**2 + 3/2*y**j - 1 - 3/2*y + 1/2*y**4 = 0.
-2, -1, 1
Let p(f) be the third derivative of 2*f + 0 + 1/15*f**5 - 2/3*f**4 - 2*f**2 - 10/3*f**3. Determine h, given that p(h) = 0.
-1, 5
Let p = -52169/6 - -8695. Let -1/2 + 1/6*n**3 - 5/6*n - p*n**2 = 0. What is n?
-1, 3
Suppose -174*j**2 - 7*j - 6*j**3 - 13*j + 3*j**5 - 14*j + 37*j + 87*j**4 + 87 = 0. Calculate j.
-29, -1, 1
Let w be 106/(-280) - (-6)/(-70)*-5. Let k(n) be the first derivative of 1/5*n**3 - 2/5*n - 1/25*n**5 - 3 + 1/10*n**2 - w*n**4. Factor k(d).
-(d - 1)**2*(d + 1)*(d + 2)/5
Solve -2/17*m + 0 - 2/17*m**2 = 0.
-1, 0
Suppose 47/2*w**2 + 0 + 369/8*w**4 - 219/4*w**3 - 3*w - 81/8*w**5 = 0. Calculate w.
0, 2/9, 2/3, 3
Let b(m) be the second derivative of -5*m**4/12 + 35*m**3/6 - 15*m**2 + 93*m - 2. Determine l, given that b(l) = 0.
1, 6
Let q(z) be the first derivative of 5*z**4/4 + 20*z**3 + 105*z**2/2 + 50*z + 164. Factor q(o).
5*(o + 1)**2*(o + 10)
Let u(d) = d**3 - 2*d**2 - 5*d + 10. Let y be u(3). Factor -x - 4*x**4 - 8 + 4*x**3 - y*x + x + 12*x**2.
-4*(x - 2)*(x - 1)*(x + 1)**2
Let n = 37 + -8. Factor -c**5 - c**4 + 22*c + 2*c**2 + n*c - 52*c - 1 + 2*c**3.
-(c - 1)**2*(c + 1)**3
Let v(h) = h**4 + 15*h**3 + 22*h**2 - 5*h - 11. Let a(m) = -2*m**3 - m**2 + 1. Let u(d) = -44*a(d) - 4*v(d). Suppose u(b) = 0. Calculate b.
0, 1, 5
Factor 2/7*p**4 + 2*p**2 - 18/7*p**3 + 18/7*p - 16/7.
2*(p - 8)*(p - 1)**2*(p + 1)/7
Suppose 45*t - 4 = 43*t - 4*o, -5*t - o + 1 = 0. Factor 1/7*m**3 + 1/7*m**2 - 1/7*m - 1/7*m**4 + t.
-m*(m - 1)**2*(m + 1)/7
Let k be 255/25 + (-1)/5. Suppose 3*x + 5*v = -0*v + 29, 2*x = -v + k. Find n, given that -3/2*n + x*n**2 - 3/2*n**3 + 0 = 0.
0, 1
Factor -78/17*f**2 - 2/17*f**3 + 336/17*f - 344/17.
-2*(f - 2)**2*(f + 43)/17
Suppose 5*a - 42 - 3 = 0. Let t = -267 - -269. What is c in 2*c**t - a*c**2 + 4*c**2 = 0?
0
Factor -6/7 + 6/7*n**2 + 2/7*n - 2/7*n**3.
-2*(n - 3)*(n - 1)*(n + 1)/7
Factor 13*o**2 + 3348 - o**2 + 72*o - 17*o**2 + 238*o - 8153.
-5*(o - 31)**2
Factor 15/7*l**2 + 9/7*l - 6/7.
3*(l + 1)*(5*l - 2)/7
Let q(x) = 3*x**2 - 3*x - 1. Let w be q(-1). Factor -57*u**4 + 52*u**4 - w*u**2 + 10*u**2.
-5*u**2*(u - 1)*(u + 1)
Let v = -532 - -538. Let i(t) be the third derivative of 0 + 1/156*t**4 + 1/195*t**5 - 1/780*t**v + 0*t - 6*t**2 - 2/39*t**3. Suppose i(y) = 0. What is y?
-1, 1, 2
Let p(k) = -6*k + 19 - 9*k - 102 + 4*k. Let v be p(-10). Find q, given that -4/3 - 12*q - v*q**2 = 0.
-2/9
Let z(y) = 7*y + 3. Let c be z(0). Let d(n) be the first derivative of -3*n + 3/4*n**4 + 6 + 9/2*n**2 - 3*n**c. Factor d(k).
3*(k - 1)**3
Let p(i) = -73*i**2 - 2189*i + 32. Let a be p(-30). Factor 18/7 - 15/7*z - 3/7*z**a.
-3*(z - 1)*(z + 6)/7
Let q(t) be the third derivative of t**6/24 + 23*t**5/2 + 2645*t**4/2 + 243340*t**3/3 + 3*t**2 - 17. Factor q(m).
5*(m + 46)**3
Suppose 0 = -4*l + 3*v + 28, -4*v = 4*l - 0*l. Let o(t) be the first derivative of t**2 + 4/3*t - 1 - 1/2*t**l - 4/9*t**3. Find c such that o(c) = 0.
-1, -2/3, 1
Let z = -621 - -628. Let p(a) be the third derivative of 1/8*a**6 - 1/28*a**z - 1/4*a**5 + 0*a + 0 - 8*a**2 - 1/4*a**3 + 1/224*a**8 + 5/16*a**4. Factor p(q).
3*(q - 1)**5/2
Let z(i) = -i**2 - 6*i + 10. Let m be z(-7). Suppose m = -c + 5. Find g, given that 3*g**3 + c*g**2 + 2*g**2 - 2*g + 0 - 4 - g**3 = 0.
-2, -1, 1
Suppose -19*x + 60 = x. Let u(p) be the first derivative of 1/5*p**4 + 2/25*p**5 + 0*p**2 + 0*p + 2/15*p**x + 4. Solve u(f) = 0.
-1, 0
Suppose 30 - 15 - 15 = 28*b. Factor -5/2*n + 5/4*n**2 - 5/4*n**4 + 5/2*n**3 + b.
-5*n*(n - 2)*(n - 1)*(n + 1)/4
Let m(s) be the third derivative of -s**7/945 + 2*s**6/135 - 17*s**5/270 + 5*s**4/54 - 167*s**2 + 3*s. Factor m(q).
-2*q*(q - 5)*(q - 2)*(q - 1)/9
Let w(s) be the third derivative of -s**5/15 - 17*s**4/6 - 20*s**3 + 210*s**2. Factor w(a).
-4*(a + 2)*(a + 15)
Let k(t) be the second derivative of -t**7/735 + t**5/210 + 2*t**2 + 14*t. Let j(h) be the first derivative of k(h). Factor j(u).
-2*u**2*(u - 1)*(u + 1)/7
Let s be ((-20)/(-5))/(1 + 3). Let p be (6/(-30))/(s/((-20)/8)). Suppose 2*d + p*d**4 + 3*d**2 + 1/2 + 2*d**3 = 0. What is d?
-1
Let s(c) = -13*c - 54*c**2 - 77*c - 39 - 35*c - 34*c. Let j(m) = 11*m**2 + 32*m + 8. Let x(f) = -21*j(f) - 4*s(f). Factor x(p).
-3*(p + 2)*(5*p + 2)
Suppose 4*s + 5*v - 41 = 0, 4*s + 0*v - 3*v = 1. Let r(k) be the third derivative of -12*k**2 + 0*k**s + 0 + 0*k**3 + 2/75*k**5 - 1/300*k**6 + 0*k. Factor r(i).
-2*i**2*(i - 4)/5
Solve -18/5*v**2 + 216/5 - 4/5*v**3 + 72/5*v + 2/15*v**4 = 0 for v.
-3, 6
Let g(f) be the third derivative of f**8/63840 - f**7/11970 - f**6/6840 + f**5/570 - 3*f**4/8 - 9*f**2. Let y(t) be the second derivative of g(t). Factor y(m).
2*(m - 2)*(m - 1)*(m + 1)/19
Let t(u) = 5*u**3 + 65*u**2 + 135*u - 215. Let v(q) = 5*q**3 + 66*q**2 + 133*q - 216. Let o(w) = -6*t(w) + 5*v(w). Factor o(a).
-5*(a - 1)*(a + 6)*(a + 7)
Factor -2/5*b - 1/5*b**2 - 1/5.
-(b + 1)**2/5
Let s(t) = t + 3. Let m be s(-4). Let j be (10/(-40))/(m/(3 - 2)). Factor j - 1/2*g**3 - 1/4*g**5 - 3/4*g**4 + 3/4*g + 1/2*g**2.
-(g - 1)*(g + 1)**4/4
Suppose 4*f - 3*b = 3, 47*b = 42*b + 15. Factor 0*q + q**2 + 0 + 2*q**4 - 1/2*q**5 - 5/2*q**f.
-q**2*(q - 2)*(q - 1)**2/2
Let j(k) be the second derivative of -10/27*k**3 - 1/45*k**5 - 4/9*k**2 + 0 + 20*k - 4/27*k**4. Factor j(u).
-4*(u + 1)**2*(u + 2)/9
Let j(w) = -4*w**3 + 2*w + 1. Let p be j(-1). Suppose 2*b - p = 1. Factor 45*q**4 + 21*q**3 + 20*q**5 - 2*q**b + 7*q**5 + 5*q**2.
3*q**2*(q + 1)*(3*q + 1)**2
Let h(z) be the first derivative of z**6/30 + z**5/25 - z**4/4 - z**3/3 + 2*z**2/5 + 4*z/5 + 666. Find p, given that h(p) = 0.
-2, -1, 1, 2
Let w(f) = 9*f**2 - 47*f + 40. Let n(s) = -20*s**2 + 95*s - 80. Let v(r) = 2*n(r) + 5*w(r). Factor v(z).
5*(z - 8)*(z - 1)
Let g(m) be the third derivative of m**9/20160 + m**8/3360 + m**7/1680 + 3*m**5/4 + m**2 - 3. Let z(x) be the third derivative of g(x). Factor z(n).
3*n*(n + 1)**2
Let m(j) = 5*j**2 - j + 2. Suppose -3*a + 6*a = 2*q - 29, -4*q + 4*a + 52 = 0. Let t(k) = 9*k**2 - 3*k + 4. Let f(w) = q*m(w) - 6*t(w). Let f(u) = 0. What is u?
1
Let o(n) = -8 + n - 4 + 7 + 5*n**3 + 6*n**2. Let b(t) = 3*t**3 + 3*t**2 + t - 3. Let m(r) = -7*b(r) + 4*o(r). Factor m(y).
-(y - 1)**3
Let m(w) = w**3 - w - 1. Let g(i) = -4*i**3 + 7*i**2 - i - 9. Let p(f) = g(f) + 3*m(f). Factor p(r).
-(r - 6)*(r - 2)*(r + 1)
Let j be 14 + -1 + -4 + 5. Let c be ((-6)/21 + 4/j)/2. Suppose 0*v + c - 4/5*v**2 + 3/5*v**4 + 1/5*v**5 + 0*v**3 = 0. Calculate v.
-2, 0, 1
Find k such that -3/4*k**4 - 75/2*k + 9/4*k**2 + 24 + 12*k**3 = 0.
-2, 1, 16
Let f be (0*14/168)/(-1 + -1). Let g(a) be the first derivative of f*a + 2/5*a**5 + 3/2*a**4 + a**2 - 5 + 2*a**3. Factor g(n).
2*n*(n + 1)**3
Let d(n) = n**3 - 7*n**2 + 13*n. Let f be d(3). Let -1/2*t**2 - 1/2*t**f + 0 + t = 0. Calculate t.
-2, 0, 1
Let o(x) be the first derivative of -3/2*x**2 + 0*x**3 + 1/16*x**4 + 4*x - 32. Let o(i) = 0. What is i?
-4, 2
Let k be ((1 - 4) + -1)*(-12)/16. Suppose 0 = -4*h + 11 - k. Determine z so that 0 + 2/5*z**3 + 2/5*z**h - 2/5*z**5 + 0*z - 2/5*z**4 = 0.
-1, 0, 1
Let q(t) be the third derivative of t**6/210 - 25*t**4/14 - 500*t**3/21 + 66*t**2 + 2*t. Factor q(s).
4*(s - 10)*(s + 5)**2/7
Let a(w) be the second derivative of w**4/12 - w**3/2 - 5*w**2 + 4*w. Suppose a(c) = 0. Calculate c.
-2, 5
Let u(j) = -2*j**3 - 4*j**2. Let g(b) be the first derivative of -b**4/2 - 4*b**3/3 + b**2/2 + 11. Let t(y) = 2*g(y) - 3*u(y). Suppose t(q) = 0. Calculate q.
-1, 0
Factor -108/5*g**2 - 104/5*g - 4/5*g**3 + 0.
-4*g*(g + 1)*(g + 26)/5
Let z(t) be the second derivative of -1/12*t**4 - 14*t + 3*t**2 + 0 + 5/6*t**3. Let z(w) = 0. What is w?
-1, 6
Let g(h) be the third derivative of 0*h + 1 + 0*h**3 - 17*h**2 - 1/280*h**6 - 1/56