alculate q.
-2, -1, 2/3, 1
Let t be 1 + -6*2/(-4). Let g be (1 - 1)*1/2 + 3. Find w, given that -1/2*w + 0 - 3*w**2 - 9/2*w**g - 2*w**t = 0.
-1, -1/4, 0
Let t be 6/81 - (-9503)/1836. Factor 9/4 - t*g - 3/4*g**3 - 17/4*g**2.
-(g + 3)**2*(3*g - 1)/4
Let y be ((-4 + (1 - -3))/(-1))/2. Factor -2/11 + y*r + 2/11*r**2.
2*(r - 1)*(r + 1)/11
Let u(w) be the second derivative of -w**5/10 + 3*w. Factor u(t).
-2*t**3
Let r = -184 - -109. Let s be ((-4)/6)/(10/r). Determine g, given that 2*g**4 - 1 - s*g**2 + 3 + g**2 = 0.
-1, 1
Let s(k) = 9*k + 12. Let o(m) = m**2 + 10*m + 12. Let g(p) = -3*o(p) + 2*s(p). Find n such that g(n) = 0.
-2
Let t(s) = -445*s**2 + 85*s + 35. Let r(m) = -223*m**2 + 42*m + 18. Let y(j) = -5*r(j) + 2*t(j). Factor y(n).
5*(5*n - 2)*(9*n + 2)
Let b = 136/335 - 2/335. Let s(m) be the second derivative of -b*m**5 - 1/15*m**6 - m**4 - m**2 + 0 - m - 4/3*m**3. Determine y, given that s(y) = 0.
-1
Let a = -1 + 4. Let c(b) be the second derivative of 1/15*b**5 + 1/90*b**6 + 1/9*b**4 + 0*b**2 + 0 + 0*b**a + 2*b. Factor c(n).
n**2*(n + 2)**2/3
Factor -4/3*r + 0 + 20/3*r**2 - 8*r**3.
-4*r*(2*r - 1)*(3*r - 1)/3
Suppose -a - 510 = a. Let c = 357 + a. Factor -5 - 29*u + 63*u**3 - c*u**2 - 3 + 81*u.
(3*u - 2)**2*(7*u - 2)
Let p(c) = -5*c + 6. Let y be p(-7). Suppose 2*f + 9 = 4*k + 39, 4*k = 3*f - y. Find b such that 10*b**4 - 1 + b - 3*b**3 + b**5 + b**3 + 2*b**2 - f*b**4 = 0.
-1, 1
Let g(m) = -4*m**3 + 4*m**2 + 5*m + 2. Suppose -3*b - 4*f + 13 + 55 = 0, -4*b - 4*f = -88. Let q(o) = -o**3. Let i(n) = b*q(n) - 4*g(n). Factor i(x).
-4*(x + 1)**2*(x + 2)
Let l = -361770 + 32920736/91. Let w = -44/13 - l. Factor 0 + 2/7*t**2 - w*t.
2*t*(t - 1)/7
Let n(d) = -d**4 - d**3 + d. Let v(i) = 4*i**4 + 16*i**3 - 16*i**2 + 2*i. Let b be ((-4)/10)/(5/75). Let u(p) = b*n(p) - v(p). Suppose u(o) = 0. Calculate o.
0, 1, 2
Let f be (-36)/30*(-15)/9. Factor 8/11*t**3 + 18/11*t**f + 2/11 + 12/11*t.
2*(t + 1)**2*(4*t + 1)/11
Let j(c) be the second derivative of -2*c**6/15 + 2*c**5/5 + c**4/3 - 4*c**3/3 + 2*c. Factor j(y).
-4*y*(y - 2)*(y - 1)*(y + 1)
Let g(f) be the second derivative of 0 + 1/90*f**5 - 3*f + 2/9*f**2 - 1/27*f**3 - 1/27*f**4. Determine i, given that g(i) = 0.
-1, 1, 2
Let g(b) be the second derivative of -10*b**7/21 + b**6/2 + 9*b**5/4 + 5*b**4/6 - 21*b. Determine z so that g(z) = 0.
-1, -1/4, 0, 2
Let f(x) be the first derivative of 2*x**3/3 - 2*x - 21. Determine n, given that f(n) = 0.
-1, 1
Let q(m) be the second derivative of -2/3*m**3 + 0 + 1/6*m**4 + 2*m + m**2. Suppose q(f) = 0. What is f?
1
Let q(f) be the third derivative of -f**5/60 + f**4/24 + 31*f**2. Let q(a) = 0. Calculate a.
0, 1
Let y(b) be the third derivative of -b**6/300 + b**5/150 + b**4/60 - b**3/15 - 5*b**2. Factor y(u).
-2*(u - 1)**2*(u + 1)/5
Factor 2/3*u**4 - 1/3*u**5 - 1/3*u**3 + 0 + 0*u + 0*u**2.
-u**3*(u - 1)**2/3
Determine q so that 0*q**4 + 0 + 0*q**2 + 0*q + 1/7*q**5 - 1/7*q**3 = 0.
-1, 0, 1
Let j be (-100)/18*1/4. Let n = 1/6 - j. Let -n*i**4 + 4/9 + 10/9*i**2 + 2*i - 2*i**3 = 0. What is i?
-1, -2/7, 1
Let w be (-14)/(-20)*168/98. What is r in w*r - 4/5 - 2/5*r**2 = 0?
1, 2
Let g(a) be the third derivative of 0*a - 2*a**2 + 0 + 0*a**3 + 1/108*a**4 + 1/270*a**5. Factor g(c).
2*c*(c + 1)/9
Factor 18*v**2 + 39/2*v**3 + 33/4*v + 3/2 + 9/4*v**5 + 21/2*v**4.
3*(v + 1)**4*(3*v + 2)/4
Let p = 141 - 137. Let h(x) be the first derivative of 0*x**2 - 3 - 1/9*x**6 + 0*x - 2/15*x**5 + 1/6*x**p + 2/9*x**3. Let h(c) = 0. Calculate c.
-1, 0, 1
Factor -3*m**4 - 29*m**2 + m + 0*m**5 + 5*m**4 - m**5 + 27*m**2.
-m*(m - 1)**3*(m + 1)
Let w(x) = 7*x**2 - x - 6. Let p(h) be the first derivative of h**3 + 2 - 3*h**3 - 3*h**3 + 1 + 13*h + h**2. Let m(a) = -6*p(a) - 13*w(a). Solve m(j) = 0 for j.
0, 1
Let y(d) be the second derivative of d**7/1050 - d**6/900 - d**5/300 - d**3/6 - 3*d. Let t(i) be the second derivative of y(i). Factor t(u).
2*u*(u - 1)*(2*u + 1)/5
Let -20/3*j - 16/9 - 14/9*j**2 = 0. Calculate j.
-4, -2/7
Let u = -1/50 - -103/150. Let g(d) be the first derivative of -3 + 0*d - d**2 + u*d**3. Suppose g(r) = 0. What is r?
0, 1
Let u(s) = -s**3 - 2*s**2 - 2*s - 1. Let t be (5 - 7) + 0/1. Let y be u(t). Find q such that y*q - 4*q + 3*q**2 + 4*q - 2 - 4*q + q**3 - q**4 = 0.
-1, 1, 2
Let o(q) be the third derivative of -q**7/42 + q**6/8 - q**5/4 + 5*q**4/24 - 28*q**2. Determine t so that o(t) = 0.
0, 1
Let w be (-556)/(-12) + 16/12. Let q = 48 - w. Factor l**3 - 2/3 + 1/3*l**2 - l + q*l**4.
(l - 1)*(l + 1)**2*(l + 2)/3
Factor 1/2*u**4 + 0*u**3 - u - 3/2*u**2 + 0.
u*(u - 2)*(u + 1)**2/2
Let h(o) be the first derivative of -o**6/75 + o**5/50 + 4*o + 1. Let a(p) be the first derivative of h(p). Find s such that a(s) = 0.
0, 1
Let z = -18981/123277 + -3/1601. Let i = z + 8/11. Let -4/7*r + 10/7*r**3 + i*r**4 + 2/7*r**2 + 0 = 0. Calculate r.
-2, -1, 0, 1/2
Suppose 66*k - 8 = 62*k. Let t(l) be the third derivative of -l**k + 1/4*l**4 + 1/60*l**6 - 1/3*l**3 + 0 - 1/10*l**5 + 0*l. Factor t(d).
2*(d - 1)**3
Let s be 99/21 - 2/(-7). Suppose -2*i - s*q - 16 = 0, 0*i + 4*q = i - 18. Suppose -d - 2*d**5 - i*d**2 + 5*d**2 - 2*d**2 - d**4 + 3*d**3 = 0. Calculate d.
-1, 0, 1/2, 1
Let f(g) be the third derivative of g**7/420 + g**6/48 + 3*g**5/40 + 7*g**4/48 + g**3/6 + 36*g**2. Factor f(y).
(y + 1)**3*(y + 2)/2
Suppose -3*d + 12 = 2*k + k, 20 = 3*k + 5*d. What is g in 0*g + k + 2/7*g**4 - 2/7*g**3 - 4/7*g**2 = 0?
-1, 0, 2
Let v(i) = 20*i**4 - 32*i**3 + 10*i**2 - 38*i + 6. Let g(n) = 7*n**4 - 11*n**3 + 3*n**2 - 13*n + 2. Let l(b) = -17*g(b) + 6*v(b). Find q such that l(q) = 0.
1, 2
Determine n, given that 10/7*n**2 + 4/7*n + 0 - 10/7*n**4 - 4/7*n**3 = 0.
-1, -2/5, 0, 1
Let -4*n**4 - 8 + 4/3*n - 20/3*n**3 + 52/3*n**2 = 0. What is n?
-3, -2/3, 1
Let u(t) = t**4 + 8*t**3 + 11*t**2 + 4*t. Let s(w) = -w**3 - w**2. Let y(h) = 3*s(h) + u(h). Solve y(m) = 0 for m.
-2, -1, 0
Let o(b) be the third derivative of 2*b**7/735 + b**6/420 - b**5/105 - b**4/84 - b**2. Solve o(v) = 0.
-1, -1/2, 0, 1
Let z = 83 - 42. Factor 17*u**3 + 24*u**4 - 89*u**3 - 3*u**5 - z*u + 96*u**2 - 7*u.
-3*u*(u - 2)**4
Let v(j) be the second derivative of 0*j**2 - 1/70*j**5 - 1/147*j**7 + 0*j**4 - 3*j + 0*j**3 - 2/105*j**6 + 0. Factor v(p).
-2*p**3*(p + 1)**2/7
Determine y so that -2*y**3 - 4*y**3 + 2*y**3 - 2*y**4 + 4*y + 6*y**2 - 4*y**2 = 0.
-2, -1, 0, 1
Suppose -3*m = -84 + 12. Let q = 40 - m. Factor 4 + q*u**3 + 24*u**2 - 2 - 16*u + u.
(u + 2)*(4*u - 1)**2
Let b(o) be the third derivative of -o**9/272160 + o**7/22680 + o**5/12 + 3*o**2. Let n(c) be the third derivative of b(c). What is g in n(g) = 0?
-1, 0, 1
Let b(z) be the second derivative of z**5/5 - 7*z**4/3 + 10*z**3 - 18*z**2 - 20*z. Let b(x) = 0. What is x?
1, 3
Factor -2 + q**3 + 2 - 2*q**3 - 2*q + 3*q**2.
-q*(q - 2)*(q - 1)
Let n = 1/45 - -1/90. Let p(k) be the second derivative of -n*k**5 + 0*k**3 + 0 - 2*k + 2/135*k**6 + 0*k**2 + 1/54*k**4. Factor p(x).
2*x**2*(x - 1)*(2*x - 1)/9
Let o(n) be the second derivative of -n**8/420 - n**7/70 - n**6/90 + n**5/10 + n**4/3 + n**3 + 8*n. Let w(y) be the second derivative of o(y). Factor w(i).
-4*(i - 1)*(i + 1)**2*(i + 2)
Let k(l) be the third derivative of 0*l**5 - 6*l**2 - 1/168*l**8 + 1/60*l**6 + 0 + 0*l**7 + 0*l**3 + 0*l**4 + 0*l. Solve k(s) = 0.
-1, 0, 1
Suppose 0*n + 0 + 0*n**3 + 2/3*n**4 - 2/3*n**2 = 0. What is n?
-1, 0, 1
Let t = -63 - -253/4. Let j = -58 + 117/2. Factor -t*n**3 - 5/4*n - n**2 - j.
-(n + 1)**2*(n + 2)/4
Let i(d) be the first derivative of d**5/3 - 5*d**4/3 + 25*d**3/9 - 5*d**2/3 - 14. Factor i(f).
5*f*(f - 2)*(f - 1)**2/3
Find a such that 0 - 1/7*a**2 + 2/7*a = 0.
0, 2
Let l = -64 - -897/14. Let y(g) be the second derivative of 1/2*g**3 + 0*g**2 + 0*g**5 + 0 + 1/5*g**6 - l*g**7 - 3*g - 1/2*g**4. Factor y(b).
-3*b*(b - 1)**3*(b + 1)
Suppose -2*h = 2*h. Let r(a) be the third derivative of a**2 - 1/20*a**6 + 0*a**3 + h*a - 1/35*a**7 - 1/168*a**8 + 0*a**4 - 1/30*a**5 + 0. Factor r(v).
-2*v**2*(v + 1)**3
Let y(a) = 4*a**3 - 199*a**2 - 50*a. Let i be y(50). Factor -2/11*r**3 - 2/11*r**4 + 0*r + i + 0*r**2.
-2*r**3*(r + 1)/11
Let v(c) be the first derivative of c**4/90 + 4*c**3/45 + 4*c**2/15 + 3*c + 5. Let i(m) be the first derivative of v(m). Suppose i(o) = 0. What is o?
-2
Let k be 15/(-10) + 5/3. Let m(u) be t