13)/((-4)/14). Let o(q) = l*v(q) + 2*w(q). Factor o(j).
-5*(j - 2)*(4*j + 1)
Let d = 13 - 10. Let h(v) be the first derivative of v**3 - 7*v**2/2 - 6*v + 5. Let s(l) = 3*l**2 - 6*l - 6. Let u(f) = d*h(f) - 4*s(f). Solve u(m) = 0 for m.
-1, 2
Let a(u) be the third derivative of 0*u - 1/20*u**5 + 31*u**2 + 0 + 0*u**4 + 1/2*u**3. Factor a(n).
-3*(n - 1)*(n + 1)
Suppose -61 + 1 = -25*r + 10*r. Solve -16/15 + 2/15*g**2 - 4*g + 14/15*g**4 + r*g**3 = 0.
-4, -1, -2/7, 1
Let s = -104 + 106. Factor -63*a - 4 + 4*a**s + 71*a + 4.
4*a*(a + 2)
Let b(v) = -2*v**3 + 3*v**2 + 3*v + 3. Let i be b(-2). Suppose 4*c - i = -5. Factor -2*f**2 - 2*f + c*f**2 - f**3 - f**2 + f**2.
-f*(f - 2)*(f - 1)
Let u(f) = f + 32. Let n be u(-24). Find m, given that -2*m**2 - 2*m**2 + 30 + n*m - 18 = 0.
-1, 3
Suppose -8 = 3*c - 5*c. Determine x so that 4*x + 2 - 7*x**3 + 11*x**3 - 4*x - 2*x**c - 4*x = 0.
-1, 1
Factor -24/5*v**2 + 2/5*v**3 + 196/5 + 42/5*v.
2*(v - 7)**2*(v + 2)/5
Let m(s) = -4*s - 6*s - 5*s**2 - s. Let j(b) = -2*b**2 - 4*b. Let q(o) = 8*j(o) - 3*m(o). Solve q(l) = 0 for l.
0, 1
Let -30 - 94/3*f**2 + 2/3*f**3 + 182/3*f = 0. Calculate f.
1, 45
Let r be (104/(-34) - -2)*40/(-12). Let o = r + -1/34. Find w, given that -1/2 - o*w**2 - 5/2*w - 3/2*w**3 = 0.
-1, -1/3
Let y(q) be the second derivative of -5*q**7/42 - q**6/15 + 3*q**5/2 + 13*q**4/3 + 31*q**3/6 + 3*q**2 - 7*q. Suppose y(s) = 0. Calculate s.
-1, -2/5, 3
Suppose -23 = 19*j + 53. Let x be ((-1 + 2)*j/26)/(-1). Let 0 - x*n + 2/13*n**3 + 0*n**2 = 0. Calculate n.
-1, 0, 1
Let v be -3 + (-4)/(16/27). Let p = -335/36 - v. Factor 0 - 2/9*k**2 - p*k.
-2*k*(k + 2)/9
Let f be ((-1)/(112/12))/((-6)/24). What is n in 3*n - 9/7 + f*n**3 - 15/7*n**2 = 0?
1, 3
Let r(j) = j**3 - 8*j**2 + 4*j - 15. Let c be r(8). Suppose 19*m - c*m = 6. Let 0*y + 0*y**m - 2/9*y**4 + 2/9*y**2 + 0 = 0. Calculate y.
-1, 0, 1
Let g(t) = 2*t**2 + 42*t + 46. Let u be g(-20). Let l(s) be the first derivative of -u - 4*s - 11*s**2 + 26/3*s**3. Factor l(o).
2*(o - 1)*(13*o + 2)
Let l(m) be the second derivative of 3*m**5/130 - 7*m**4/78 - 6*m**3/13 - 8*m**2/13 + 3*m - 20. Factor l(g).
2*(g - 4)*(g + 1)*(3*g + 2)/13
Let t(y) be the first derivative of y**4/4 + 9*y**3 + 84*y**2 - 196*y - 74. Solve t(x) = 0 for x.
-14, 1
Let g(a) be the second derivative of -1875/2*a**2 + a + 3*a**5 - 7 - 1/10*a**6 - 75/2*a**4 + 250*a**3. Find m such that g(m) = 0.
5
Factor -h - 5/6*h**2 + 1/3*h**3 + 0 + 1/6*h**4.
h*(h - 2)*(h + 1)*(h + 3)/6
Let g = 3850 - 65440/17. Solve -12/17 - g*p - 2/17*p**2 = 0.
-3, -2
Let z = 30672 - 30668. Let -2/5*s + 6/5*s**2 + 2/5*s**z + 0 - 6/5*s**3 = 0. What is s?
0, 1
Let i = -54 - -81. Determine u so that 12 - 5*u - 2*u - 4*u**3 - i*u + 22*u**2 = 0.
1/2, 2, 3
Let l = 73607/49070 - 1/24535. Factor 11/4*j + l - 1/2*j**2.
-(j - 6)*(2*j + 1)/4
Let n(m) be the third derivative of 4*m**7/21 - 11*m**6/8 + 11*m**5/3 - 35*m**4/8 + 5*m**3/3 + 427*m**2. Factor n(y).
5*(y - 2)*(y - 1)**2*(8*y - 1)
Let l(s) be the third derivative of -s**7/210 + 4*s**6/45 - 2*s**5/3 + 8*s**4/3 + 29*s**3/6 - 25*s**2. Let m(r) be the first derivative of l(r). Factor m(z).
-4*(z - 4)*(z - 2)**2
Let f(k) = -7*k + 2. Let r be f(1). Let n(d) = d**3 + d**2 - d - 1. Let x(h) = 3*h**3 - h**2 - 5*h - 5. Let l(q) = r*n(q) + x(q). Solve l(w) = 0.
-3, 0
Let l(y) be the third derivative of y**8/672 - y**7/12 - 3*y**6/20 + y**2 + 48*y. Factor l(g).
g**3*(g - 36)*(g + 1)/2
Let f(p) be the first derivative of 14 + 59/2*p**3 - 27/2*p + 12/5*p**5 - 18*p**2 + 69/4*p**4. Let f(q) = 0. What is q?
-3, -1/4, 1/2
Let m = -36055/2 + 18028. Factor 0 + 0*f - m*f**4 - 1/2*f**3 + f**2.
-f**2*(f - 1)*(f + 2)/2
Let g be (-2)/6 + 8/6 - -1. Suppose -4/3 - 10/3*w - 2*w**g = 0. What is w?
-1, -2/3
Let q be 0 + 11/(110/16). Factor 126/5*h**2 - q + 8/5*h.
2*(7*h + 2)*(9*h - 2)/5
Suppose -27*m + 30*m - 12 = 0. Factor -r**2 - 2*r**3 - 3*r**m + 6*r**4 + 7*r**2 - 7*r**3.
3*r**2*(r - 2)*(r - 1)
Let q(m) be the third derivative of m**5/20 + m**4/4 - 156*m**2. Factor q(a).
3*a*(a + 2)
Let j(v) = v**2. Let i(y) = 2*y**2 + 20*y + 24. Let c(n) = -i(n) - 2*j(n). Suppose c(k) = 0. What is k?
-3, -2
Suppose -2*f - 1 = -5. Suppose 5 = -v - 4*m, m - 1 = -3*v + f*v. Factor -3/4*w**2 - 3 + v*w.
-3*(w - 2)**2/4
Let f(w) be the first derivative of -w**4/34 - 8*w**3/51 + 3*w**2/17 + 36*w/17 + 79. Factor f(m).
-2*(m - 2)*(m + 3)**2/17
Suppose -3*k - 1 + 2 = 4*j, 18 = 4*k - 3*j. Solve -15*i**k - 42*i**2 + 3*i**3 + 2*i**4 + 52*i**2 = 0.
0, 1, 5
Let c(g) be the third derivative of -g**8/1848 - g**7/385 + g**6/165 - 2*g**2 + 5. Solve c(k) = 0.
-4, 0, 1
Let r(w) = w**2 + 15*w + 30. Let o be r(-9). Let n = -23 - o. Factor -h**2 - 1/2*h + n + 1/2*h**3.
(h - 2)*(h - 1)*(h + 1)/2
Let x = 8 + -3. Suppose 4*u + 3 = 7, 0 = 4*b - 3*u - x. Let -3 + 6*i**b - 3*i**2 - 3 + 3*i = 0. Calculate i.
-2, 1
Let d be (14/4)/((-5)/(-50)). Suppose 0*k + 5*k - d = 0. Factor 8*x**2 - 15*x**4 + 5*x**3 + k*x**2 + 3*x**5 - 10*x**3 + 6*x**5 - 4.
(x - 1)**3*(3*x + 2)**2
Let g(m) = m**2 + 54*m + 588. Let f be g(-15). Find a, given that -3/2*a**3 - 15/2*a + f + 6*a**2 = 0.
1, 2
Let x(i) be the third derivative of -i**7/525 - 3*i**6/50 - 4*i**5/5 - 88*i**4/15 - 128*i**3/5 + 2*i**2 - 15. Factor x(s).
-2*(s + 4)**3*(s + 6)/5
Suppose -4*v = 5*b - 18, 5*b = -2*v - 1 + 15. Let 11*x**2 - 10*x**b - 2*x**2 + 2*x = 0. What is x?
0, 2
Suppose -a - 5*l + 35 = 1, 56 = 4*a + 4*l. Let t(r) = r**3 - 8*r**2 - 8*r - 5. Let n be t(a). Factor 2/5*z**5 + 0*z**3 + 0*z**2 + 0*z + 0 - 4/5*z**n.
2*z**4*(z - 2)/5
Factor 21*y**2 - 35*y**2 + 20*y**2 - 9*y**3 + 3*y**5.
3*y**2*(y - 1)**2*(y + 2)
Let n(t) be the third derivative of t**7/280 + 3*t**6/160 - 33*t**5/80 + 53*t**4/32 - 3*t**3 + 48*t**2 + 3. What is b in n(b) = 0?
-8, 1, 3
Let l(k) be the first derivative of 13/40*k**5 + 7/24*k**3 + 0*k + 23 + 3/8*k**2 + 1/16*k**6 - 29/32*k**4. Determine z so that l(z) = 0.
-6, -1/3, 0, 1
Let h = -77/8 + 1511/152. Factor h*w**2 + 0 + 0*w + 2/19*w**3.
2*w**2*(w + 3)/19
Let -22*d**2 + 25*d**4 - 40*d + 37*d**3 - 19*d**2 - 20 + 5*d**5 - 2*d**3 + 36*d**2 = 0. What is d?
-2, -1, 1
Let d(p) be the first derivative of -8*p**5 - 25/6*p**6 + 0*p**2 + 10/3*p**3 - 5/4*p**4 + 0*p + 4. Factor d(j).
-5*j**2*(j + 1)**2*(5*j - 2)
Suppose -11*d = -2*i - 7 - 34, -2*d + 18 = -3*i. Factor -3*g**2 + 0 - 2/3*g + 8*g**d - 13/3*g**4.
-g*(g - 1)**2*(13*g + 2)/3
Let s(f) be the third derivative of 15*f**2 + 0 + 0*f + 1/285*f**6 + 1/114*f**4 + 0*f**3 + 3/190*f**5. Solve s(q) = 0.
-2, -1/4, 0
Let u be (-7 + 2)/(2/(-12)). Factor 31*w**2 - 31*w - 20 - 5*w**4 - 96*w**2 - u*w**3 - 29*w.
-5*(w + 1)**2*(w + 2)**2
Suppose 5*p - 5*y + 2 = p, y = -p + 4. Factor -p*t**2 - 8*t**4 + 7*t**4 + 0*t**4 + 3*t**3 + 0*t**2.
-t**2*(t - 2)*(t - 1)
Let q(z) be the first derivative of -15/4*z - 10 - 5/8*z**2 + 25/16*z**4 + 35/12*z**3. Factor q(c).
5*(c + 1)**2*(5*c - 3)/4
Let i be (6/27)/(1 - (-35)/15). Let c(x) be the third derivative of 8*x**2 + i*x**5 + 0*x - 1/6*x**4 - 4/3*x**3 + 0. Factor c(b).
4*(b - 2)*(b + 1)
Let j be (32/(-48))/(-4 - (0 - -2)). Let u(o) be the first derivative of -2/9*o + 1 + 2/27*o**3 - 1/18*o**4 + j*o**2. Suppose u(t) = 0. Calculate t.
-1, 1
Let n = -17660 + 17662. Factor 0 + 0*x - 1/7*x**5 - 3/7*x**3 + 3/7*x**4 + 1/7*x**n.
-x**2*(x - 1)**3/7
Let v(m) be the third derivative of m**7/14 - 19*m**6/40 - 29*m**5/20 - 5*m**4/8 - m**2 - 26*m. Determine b, given that v(b) = 0.
-1, -1/5, 0, 5
Let l be (-2 - 2)/(8/12). Let n = l - -15. Factor 0*r**3 - n*r + 8*r + 2*r**3 - r**5.
-r*(r - 1)**2*(r + 1)**2
Suppose -o - 7*o + 16 = 0. Let u = 1 + o. Factor 9*n**2 + 11*n + u + 4 - 5.
(n + 1)*(9*n + 2)
Let d(b) be the second derivative of -37*b**4/36 + 4*b**3 + 2*b**2/3 - 513*b. Factor d(x).
-(x - 2)*(37*x + 2)/3
Let 5*j**3 - 50*j**2 + 22*j**2 - 4*j - j**4 + 4 + 25*j**2 - j = 0. What is j?
-1, 1, 4
Let k(q) = -q**2 - q - 2. Let z(b) = 13*b**2 + 85*b + 22. Let v(d) = 22*k(d) + 2*z(d). Determine o, given that v(o) = 0.
-37, 0
Let d(g) be the first derivative of -2*g**3/21 - g**2/7 + 12*g/7 - 624. Determine a, given that d(a) = 0.
-3, 2
Let l(t) = -2*t**2 - 3*t - 1. Let v be l(4). Let j = -43 - v. What is d in 4/5*d + 0 + j*d**2 = 0?
-2/5, 0
Factor 4/3*u**2 - 4/3 - 1/3*u + 1/3*u**3.
(u - 1)*(u + 1)*(u + 4)/3
Let z = 534 - 5339/10. Solve