he first derivative of 27*p**5/20 + 27*p**4/2 + 91*p**3/2 + 45*p**2 - 189*p/4 + 119. Let v(q) = 0. What is q?
-3, -7/3, 1/3
Let u(v) = 8*v**2 + 1 - 7 - 7 + 2 - v**3 + 7*v. Let y(x) = -2*x**3 + 8*x**2 + 6*x - 10. Let b(o) = 2*u(o) - 3*y(o). Factor b(n).
4*(n - 2)*(n - 1)*(n + 1)
Let w be (-16 - -15)*8/(-14). Factor -2/7*k**2 + 6/7*k - w.
-2*(k - 2)*(k - 1)/7
Let b(h) be the third derivative of -h**6/240 + h**5/40 - h**3/3 - 213*h**2. Let b(i) = 0. What is i?
-1, 2
Suppose -c + 0 = -2. Suppose 0 = -c*f - 4*f + 12. Suppose -5*p + 4*p**3 - 5*p**3 - 5 + 7 + 4*p**f = 0. Calculate p.
1, 2
Let y = -4 + 9. Suppose -2*n = -y*x + 4, 2*x = 3*x - 2. Factor 9/4*r**n - 1 + 4*r - 21/4*r**2.
(r - 1)*(3*r - 2)**2/4
Let q be (-6)/4*12/306. Let k = q + 37/51. Let 2/3 - 4/3*z**2 + k*z**4 + 0*z + 0*z**3 = 0. What is z?
-1, 1
What is x in 4*x**2 - 25*x**2 + 21*x + 2*x + 10*x + 6*x = 0?
0, 13/7
Let z(h) = 8*h - 39. Let d be z(5). Let y be (1 - d)*(-5)/10*2. Find f, given that y - 2/17*f**5 + 0*f + 0*f**2 + 0*f**4 + 2/17*f**3 = 0.
-1, 0, 1
Solve 0*k**3 - 150*k**2 - 18*k**3 - 40*k - 16*k**3 - k**3 = 0 for k.
-4, -2/7, 0
Let n(k) = 4*k**5 - 4*k**4 + 12*k**3 + 4*k**2 - 16*k. Let w(j) = j**5 - j**4 - j + 1. Let h(o) = -n(o) + 6*w(o). Solve h(r) = 0.
-1, 1, 3
Let k(r) be the second derivative of 3*r**6/10 + 33*r**5/10 + 11*r**4 + 4*r**3 - 48*r**2 - 8*r + 21. Factor k(a).
3*(a + 2)**2*(a + 4)*(3*a - 2)
Factor -140*n**3 - 492*n**2 + 575*n + 187*n**2 - 917*n**2 - 1731*n - 4*n**4 - 70*n**2.
-4*n*(n + 1)*(n + 17)**2
Let i(g) be the second derivative of -g**5/2 + 31*g**4/3 - 124*g**3/3 + 40*g**2 - 353*g. Factor i(j).
-2*(j - 10)*(j - 2)*(5*j - 2)
Let y = 1904 + -1897. Let j(k) be the third derivative of -1/60*k**5 + 0*k**3 + 1/150*k**6 + 1/60*k**4 - 2*k**2 - 1/1050*k**y + 0*k + 0. What is q in j(q) = 0?
0, 1, 2
Let g(b) = 2*b**2 + 26*b - 25. Let n be g(1). Factor 11/3*f - 2/3 - n*f**2.
-(f - 1)*(9*f - 2)/3
Let d = 81 + -64. Factor d*v**3 - 10*v**2 + 31*v**5 - 2*v**3 - 36*v**5.
-5*v**2*(v - 1)**2*(v + 2)
Let r be (-7)/(-21) - 31/3. Let c = -7 - r. Factor c*z - 2*z - z**4 - 5*z**3 + 6*z**3 - 2*z**3 + z**2.
-z*(z - 1)*(z + 1)**2
Let n be (-1)/(-2) - 70/(-28). Factor 48*m**2 + 28*m**3 - 67*m**n - 27*m + 26*m**3 - 9*m + m**4.
m*(m - 6)**2*(m - 1)
Let j(q) be the second derivative of 0 - 5/6*q**4 + 28*q - 5/4*q**3 - 1/8*q**5 + 0*q**2. What is d in j(d) = 0?
-3, -1, 0
Factor 53*t - 40 - 8*t - 5*t**2 + 77 + 143.
-5*(t - 12)*(t + 3)
Factor -3*n**2 - 120*n + 2 - 4 + 90*n + 2.
-3*n*(n + 10)
Let n(c) be the third derivative of 7*c**5/60 + 29*c**4/12 + 8*c**3/3 - c**2 + 49*c. Let n(w) = 0. Calculate w.
-8, -2/7
Suppose a + 2 = 0, -5*l - 2*a = -a - 93. Factor -l*b**2 + 4*b + 0*b**3 + 21*b**2 - 2*b**3.
-2*b*(b - 2)*(b + 1)
Let j = 36197 + -108589/3. Find k, given that -28/9*k + 16/9 + j*k**2 = 0.
2/3, 4
Let t = 251 - 1003/4. Let g(k) be the second derivative of -1/2*k**3 + 0 + 0*k**2 + k + t*k**4. Determine p, given that g(p) = 0.
0, 1
Let u = 56 - 66. Let i be (-12)/(-21) + u/140. Factor i*z + 5/4*z**2 + z**3 + 1/4*z**4 + 0.
z*(z + 1)**2*(z + 2)/4
Let i(l) be the first derivative of l**4/2 + 22*l**3/3 + 19*l**2 + 18*l - 345. Factor i(j).
2*(j + 1)**2*(j + 9)
Determine g so that -20*g**2 + 15*g + 68*g**3 + 30 + 60 - 73*g**3 = 0.
-3, 2
Let x(b) be the third derivative of -1/924*b**8 + 0*b + 1/165*b**5 + 1/165*b**6 + 0 - 1/66*b**4 - 1/33*b**3 - 1/1155*b**7 + 8*b**2. Suppose x(v) = 0. What is v?
-1, -1/2, 1
Let z(o) be the first derivative of 3 + 4/9*o**3 + 0*o + 2/3*o**2. Determine h, given that z(h) = 0.
-1, 0
Let -87/2*w + 7/2*w**2 + 18 = 0. Calculate w.
3/7, 12
Let b be (-6)/(1 + -3) + 30/6. Let w(m) be the first derivative of -1/8*m**4 + 1/4*m**2 - 1/12*m**3 + b + 0*m + 1/20*m**5. What is i in w(i) = 0?
-1, 0, 1, 2
Let f(p) be the second derivative of p**6/45 + 2*p**5/15 + p**4/3 + 4*p**3/9 + p**2/3 - 54*p. Find b such that f(b) = 0.
-1
Let t be ((-10)/15)/(2/(-6)). Suppose f - t*q = 3, 0*q + 2*q + 30 = 4*f. Factor 2*y + 3*y**3 + f*y**3 - 18*y**2 + 10*y - 3*y**4 - 3.
-3*(y - 1)**4
Let a(h) be the second derivative of h**6/300 - h**5/25 - 7*h**4/60 + 21*h**2/2 + 16*h. Let y(w) be the first derivative of a(w). Factor y(p).
2*p*(p - 7)*(p + 1)/5
Let n(o) = -o**3 + 5*o**2 - 4*o + 4. Let u be n(4). Suppose -2 = 2*z - u*m + 6, 4*m = 3*z + 4. Factor 3*i**z - 12*i**3 + 0 + 4*i**2 + 8*i**2 + 0.
3*i**2*(i - 2)**2
Let l(r) = 4*r**3 - 119*r**2 + 223*r + 1. Let h(u) = -u**2 + u - 1. Let m(z) = h(z) + l(z). Factor m(f).
4*f*(f - 28)*(f - 2)
What is q in -10/19*q - 8/19*q**2 + 2/19*q**3 + 0 = 0?
-1, 0, 5
Let d(s) be the first derivative of -16/27*s**3 + 4/45*s**5 - 17 + 0*s**2 + 0*s**4 + 0*s. Find m such that d(m) = 0.
-2, 0, 2
Let a(u) = -11*u**3 + 14*u**2 + 43*u + 18. Let r(z) = -5*z**3 + 7*z**2 + 21*z + 9. Let m(p) = -6*a(p) + 13*r(p). Suppose m(g) = 0. Calculate g.
-3, -1
Let r(y) = -7*y**2 + 4*y - 6. Let v(h) = -18*h**2 + 12*h - 18. Let q(p) = 8*r(p) - 3*v(p). Factor q(b).
-2*(b - 1)*(b + 3)
Suppose -4*x**3 - 2*x**2 + 2*x + 2*x + 3*x**2 - 13*x**2 + 12 = 0. Calculate x.
-3, -1, 1
Let h be 0*2/(-4)*-1*24/(-60). What is w in h - 1/2*w - 8*w**4 - 9/2*w**2 - 12*w**3 = 0?
-1, -1/4, 0
Let n(m) be the second derivative of -3*m - 1/120*m**6 + 3*m**2 - 1/72*m**4 + 0*m**3 + 0 - 1/45*m**5. Let c(w) be the first derivative of n(w). Factor c(x).
-x*(x + 1)*(3*x + 1)/3
Let d(w) be the first derivative of -2/3*w**2 - 2/9*w**3 + 0*w - 2 + 1/6*w**4. Factor d(o).
2*o*(o - 2)*(o + 1)/3
Suppose -5*b - 665 = -5*n, 4*n + 225 = -2*b + 775. Suppose -140*t + 8 = -n*t. Suppose 10/9*j**t - 8/9*j**3 - 4/9*j + 0 + 2/9*j**4 = 0. What is j?
0, 1, 2
Let p be (-2)/(-11) - 252/(-66). Let q(l) = l**2 - 2*l + 4. Let d be q(p). Factor -d*f**2 - f**3 + 0*f**3 - 2*f**4 - 2 + 3*f + 5*f + 9*f**3.
-2*(f - 1)**4
Factor -23/2*j - 1/4*j**2 + 47/4.
-(j - 1)*(j + 47)/4
Solve -1/2*k**3 + 0 + 5/2*k**2 + 0*k = 0.
0, 5
Let f(v) be the first derivative of -v**7/420 + v**5/60 + 6*v**3 - 13. Let c(y) be the third derivative of f(y). Determine s so that c(s) = 0.
-1, 0, 1
Let -1/5*v**2 - 19/5*v + 0 = 0. Calculate v.
-19, 0
Let k(b) be the first derivative of -b**5/30 - b**4/12 - 4*b**2 + 36. Let j(g) be the second derivative of k(g). Factor j(o).
-2*o*(o + 1)
Let m(c) be the third derivative of c**6/240 - c**5/120 - c**4/8 - 9*c**2. Factor m(x).
x*(x - 3)*(x + 2)/2
Solve -15/4*r - 27/4*r**2 - 1/2 = 0.
-1/3, -2/9
Factor 8/7*m - 2/7*m**4 + 10/7*m**3 - 16/7*m**2 + 0.
-2*m*(m - 2)**2*(m - 1)/7
Let d = -45 + 30. Let l be (1 + d)*(-72)/84. Determine q, given that 4*q - q + 3*q**3 + 12*q**4 + l*q**2 + 3*q**5 + 15*q**3 = 0.
-1, 0
Let t(w) be the first derivative of 6*w - 3/4*w**4 + 19 + 4*w**3 - 15/2*w**2. Factor t(d).
-3*(d - 2)*(d - 1)**2
Let d be (128/(-112))/((-36)/63). Factor -2*u**d - 4/5 - 14/5*u.
-2*(u + 1)*(5*u + 2)/5
Suppose -4*r - 22*g = -60, 7*r - 5*g = 8*r - 14. Find w, given that -3 + 18*w**2 - 3/2*w**3 - 15/2*w - 6*w**r = 0.
-2, -1/4, 1
Let v = 1526 - 19834/13. Factor 2/13*b**2 - v + 2/13*b.
2*(b - 1)*(b + 2)/13
Let y be (-14 - 368/(-24))/(4/(-6)) + 5. Factor 3/2*q - 3/4 + 3/4*q**4 + 0*q**2 - 3/2*q**y.
3*(q - 1)**3*(q + 1)/4
Suppose 0 = 38052*q - 38062*q. Let q + 6/5*k**3 + 2/5*k**2 - 4/5*k = 0. Calculate k.
-1, 0, 2/3
Find f, given that -18/5*f**2 + 0*f + 3*f**3 + 3/5*f**4 + 0 = 0.
-6, 0, 1
Let t(i) be the first derivative of 2/5*i**5 + i**2 - 6 + 3/2*i**4 + 0*i + 2*i**3. Let t(v) = 0. What is v?
-1, 0
Let h(r) be the first derivative of 35 - 1/15*r**3 - 1/5*r**2 + 3/5*r. Suppose h(c) = 0. What is c?
-3, 1
Let b(x) = -58*x**2 - 753*x + 15. Let t be b(-13). Let s = 299/4 + -74. Factor -5/4*r**3 - 1/2*r**4 + 1/4*r + 1/4 - s*r**t.
-(r + 1)**3*(2*r - 1)/4
Determine a, given that 6390 + 5*a**4 + 12766*a**2 + 7519*a - 224*a**3 - 2*a**4 - 2*a**4 - 32383*a + 5931 = 0.
1, 111
Let t = 19 + -38. Let k = t + 96/5. Factor -1/5*j**4 + 0 + 0*j - 1/5*j**5 + k*j**2 + 1/5*j**3.
-j**2*(j - 1)*(j + 1)**2/5
Let g = 9 + -8. Let t be 0 + g + 2/(-4). Find c, given that 1/2*c**4 + t*c**5 + 0 + c - 3/2*c**3 - 1/2*c**2 = 0.
-2, -1, 0, 1
Let l = 903 - 899. Let y(m) be the third derivative of 0*m**3 + 0*m**l + 6*m**2 + 0 + 7/60*m**6 - 1/15*m**5 + 0*m. Factor y(o).
2*o**2*(7*o - 2)
Suppose b - 3*u + 7 = 0, 7*b - 2*b - u - 7 = 0. Suppose t + i = -0*i, -4 = -4*t - b*i. Facto