/(26/65). Let n be l/(-7) - (0 + 4)/(-4). Let 2/7*w**4 - 8/7*w + n*w**3 + 8/7 - 6/7*w**2 = 0. Calculate w.
-2, 1
Let f(m) be the first derivative of -m**5 - 65*m**4/2 - 845*m**3/3 + 66. Find v, given that f(v) = 0.
-13, 0
Let w(m) be the third derivative of m**7/17640 + m**6/840 - 7*m**4/12 + 18*m**2. Let c(i) be the second derivative of w(i). Factor c(d).
d*(d + 6)/7
Let -6*m - 14283*m**2 + 12 - 3*m + 14280*m**2 = 0. What is m?
-4, 1
Let p(d) be the first derivative of -d**5/10 + 23*d**4/8 - 127*d**3/6 + 249*d**2/4 - 72*d - 374. Factor p(a).
-(a - 16)*(a - 3)**2*(a - 1)/2
Let x(y) be the first derivative of y**8/168 + 4*y**7/105 + y**6/20 - 2*y**5/15 - y**4/3 + 4*y**2 - 23. Let c(v) be the second derivative of x(v). Factor c(p).
2*p*(p - 1)*(p + 1)*(p + 2)**2
Let f = 1102 + -1100. Factor -f - 1/2*t + 1/4*t**2.
(t - 4)*(t + 2)/4
Let t(w) = -2*w**3 + 261*w**2 - 2023*w + 1757. Let b(i) = i**3 - 87*i**2 + 674*i - 586. Let q(d) = -7*b(d) - 2*t(d). What is r in q(r) = 0?
1, 14
Factor 275/4*y - 70 + 5/4*y**2.
5*(y - 1)*(y + 56)/4
Suppose 5*q - 3*q - 10 = 0. Factor -2*b**3 + b + 16*b**q + 0*b - 15*b**5.
b*(b - 1)**2*(b + 1)**2
Factor -4*b**4 - 19*b**2 - 15*b**2 - 2*b**2 - 24*b**2 - 32*b**3.
-4*b**2*(b + 3)*(b + 5)
Let c(f) = -f**3 - 4*f**2 - 2*f - 5. Suppose -4*u - 8 = 4*s, 3*s = 5*u - 31 + 9. Let p be c(s). Factor z**p - z**4 + 2*z**4 - z + 0*z**4 - z**2.
z*(z - 1)*(z + 1)**2
Suppose 2*x - 8 = -3*n + 3, -14 = -4*n - 3*x. Suppose -5*q + 25 = 3*h, 4*q - 2*q = n*h - 21. Determine b, given that 5/2*b - 3/2 + 1/6*b**3 - 7/6*b**q = 0.
1, 3
Suppose -f + 4*f + 6 = 0. Let n be (1 - (-63)/(-75))/(f/(-5)). Factor n*l**3 + 2/5*l**4 + 0*l - 4/5*l**2 + 0.
2*l**2*(l - 1)*(l + 2)/5
Let i(r) be the third derivative of r**6/80 - r**4/16 - 16*r**2 - 1. Factor i(z).
3*z*(z - 1)*(z + 1)/2
Let g(s) = s + 1. Let i(u) = 36*u**2 + 9 - 45*u - 4 + 2. Suppose -y - y = t - 5, 15 = 5*t + 5*y. Let c(v) = t*g(v) + i(v). Suppose c(x) = 0. Calculate x.
2/9, 1
Let b(l) be the first derivative of -l**4/2 - 4*l**3 - 5*l**2 + 24*l - 135. Factor b(c).
-2*(c - 1)*(c + 3)*(c + 4)
Solve 6*l - 11/4*l**2 + 1/4*l**3 + 9 = 0.
-1, 6
Suppose 0*y = -l + 2*y + 11, 3*y + 30 = 3*l. Let c = -3 + 5. Let -2*z + 3*z - l*z**c - 4*z + 0*z**2 = 0. What is z?
-1/3, 0
Let k(v) = v**2 - 3*v - 6. Let a be k(5). Suppose -4*u = l + l - a, 4*u - 18 = 5*l. Factor 2 + 6*g**2 - g - 2*g**3 - g - u*g - 2*g.
-2*(g - 1)**3
Suppose -10 = -2*w - 3*w. Solve a**2 + 6*a - 15 + 6 + w*a**2 = 0.
-3, 1
Let r = 12409/15 + -827. Let i(w) be the first derivative of 0*w + 8 + r*w**3 + 1/5*w**2. Factor i(o).
2*o*(2*o + 1)/5
Let f = 13108/1239 - -36/413. Factor -2/3*s**2 - 16/3*s - f.
-2*(s + 4)**2/3
Let u be 101/35 + (-172)/20 + 10 + -2. Determine a so that 2/7*a**2 - u + 2*a = 0.
-8, 1
Suppose 20 + 76 = -4*f - 4*l, -94 = 4*f + 5*l. Let t = f - -79/3. Find c, given that -4/3 - 4/3*c + c**2 + 4/3*c**3 + t*c**4 = 0.
-2, -1, 1
Let v(h) = -h**3 + 14*h**2 - 11*h - 8. Let z be v(13). Suppose 0 = -o + 4*n - z, -5*o + n + 1 = -2*o. Find q such that 4 - 24*q**2 + 12*q**2 + 8*q**o = 0.
-1, 1
Find k, given that -1/7*k**4 + 17/7*k**2 + 6/7*k**3 - 16/7 - 6/7*k = 0.
-2, -1, 1, 8
Let j(c) be the third derivative of 0 + 0*c - 12*c**2 + 1/300*c**6 + 0*c**3 + 1/120*c**4 + 4/525*c**7 - 1/60*c**5. Let j(p) = 0. Calculate p.
-1, 0, 1/4, 1/2
Let s(h) be the second derivative of h**5/60 + 7*h**4/36 - h**3/18 - 7*h**2/6 + 242*h. Solve s(n) = 0 for n.
-7, -1, 1
Let h(m) be the second derivative of m**6/20 - m**5 + 179*m**4/36 + 70*m**3/9 + 49*m**2/12 + 2*m + 17. What is u in h(u) = 0?
-1/3, 7
Let r(n) be the second derivative of 5/6*n**4 - 23*n + 0 - 1/3*n**3 + 0*n**2. Factor r(l).
2*l*(5*l - 1)
Let n be 25/77 - 13/91. Find o, given that -n*o**4 + 6/11*o + 4/11 - 6/11*o**3 - 2/11*o**2 = 0.
-2, -1, 1
Let b be (57/(-9) - -12) + 1. Solve -8/3 + 4*t**5 + b*t + 8*t**2 - 16/3*t**4 - 32/3*t**3 = 0 for t.
-1, 1/3, 1, 2
Let y(m) = -m**4 + m**3 - m**2 + m + 2. Let w(a) = -2*a**4 + a**3 - a**2 + 2*a + 3. Let u(z) = -2*w(z) + 3*y(z). Determine n so that u(n) = 0.
-1, 0, 1
Let n(w) be the first derivative of 2*w**5/15 - 17*w**4/3 + 56*w**3 + 216*w**2 + 681. Factor n(p).
2*p*(p - 18)**2*(p + 2)/3
Let d = 15473/9512 - 2/1189. Let q = d - 49/40. Factor 2/5*y - q - 2/5*y**3 + 2/5*y**2.
-2*(y - 1)**2*(y + 1)/5
Let y(a) = -a**3 - 9*a**2 - 17*a - 153. Let l be y(-9). Let l - 8/19*w - 2/19*w**2 = 0. What is w?
-4, 0
Let j(q) be the first derivative of q**4/4 + 2*q**3/3 - 5*q**2/2 - 6*q + 26. Factor j(m).
(m - 2)*(m + 1)*(m + 3)
Factor 2*g + 2/9*g**2 + 28/9.
2*(g + 2)*(g + 7)/9
Find b such that 6/5*b**2 - 2/5*b**3 - 4/5*b + 0 = 0.
0, 1, 2
Suppose -l - 3*t - 12 = 0, -5*t = -l - l + 20. Suppose 6 + 3 = b + g, -2*b + 4*g - 12 = l. Factor 5*c**3 - 2*c**3 - 4*c**3 + 9*c**3 + 4*c**b.
4*c**3*(c + 2)
Let t = -4 - -4. Suppose f - 4 + 2 = t. Suppose 3*a - 9*a**f + 2 - 2 + 6 = 0. What is a?
-2/3, 1
Let w(d) be the second derivative of -d**6/10 + 9*d**5/35 - 3*d**4/28 - d**3/7 - 3*d - 2. Factor w(c).
-3*c*(c - 1)**2*(7*c + 2)/7
Let h be (-8)/(-3)*(-24)/128*-4. Let k(v) be the first derivative of 5 - 1/12*v**4 + 2/3*v**3 + 8/3*v - 2*v**h. Factor k(n).
-(n - 2)**3/3
Let a be (-10)/9*24/360*(0 + -24). Suppose 98/3*k**4 - 56/9*k + a + 518/9*k**3 - 172/9*k**2 = 0. What is k?
-2, -1/3, 2/7
Suppose -2*z - 4*s + 6 = 0, 5*z + s - 20 = 4. Factor 2/9*u**z + 0*u**2 + 0*u**3 - 2/9*u**4 + 0*u + 0.
2*u**4*(u - 1)/9
Suppose 0 = -23*p + 26*p - 12. Factor -4*m**5 - 945 - 8*m**3 + 945 - 11*m**p - m**4.
-4*m**3*(m + 1)*(m + 2)
Let n(o) be the first derivative of 7*o**4/12 + 2*o**3 - 2*o**2 + 7*o - 9. Let b(f) be the first derivative of n(f). Factor b(l).
(l + 2)*(7*l - 2)
Let x(f) be the third derivative of f**8/43680 - f**7/16380 - 5*f**4/24 + 5*f**2. Let u(r) be the second derivative of x(r). Find y, given that u(y) = 0.
0, 1
Let o(m) = 2*m**2. Let g(b) = -3*b**2 - 4*b + 5. Let j(v) = 3*g(v) + 3*o(v). Factor j(y).
-3*(y - 1)*(y + 5)
Let v(x) be the second derivative of -x**6/150 + 9*x**5/100 - 2*x**4/5 + 8*x**3/15 - 5*x + 15. Factor v(n).
-n*(n - 4)**2*(n - 1)/5
Factor -168*c**2 + 118 - 376 - 196*c + 27*c**3 - c**4 + 125 + 133.
-c*(c - 14)**2*(c + 1)
Let h(s) = 0 - 1 + 4*s**2 - 3*s**2. Let w(o) be the third derivative of o**5/15 - o**4/3 + 2*o**3/3 - 9*o**2. Let g(f) = -3*h(f) - 3*w(f). Solve g(q) = 0.
3/5, 1
Let g(y) be the second derivative of y**5/10 - 3*y**4/2 + 20*y**3/3 - 12*y**2 - 2*y - 13. Determine p, given that g(p) = 0.
1, 2, 6
Let u(a) = a**3 + a**2 + 1. Let j(y) = -12*y**3 + 10*y**2 - 54*y + 26. Let s(h) = j(h) + 10*u(h). Factor s(w).
-2*(w - 6)*(w - 3)*(w - 1)
Factor 6/13 - 4/13*p - 2/13*p**2.
-2*(p - 1)*(p + 3)/13
Let j(w) be the third derivative of 1/35*w**6 - 11*w**2 + 0*w + 0*w**3 + 1/70*w**5 + 0 + 1/105*w**7 - 1/42*w**4. Factor j(x).
2*x*(x + 1)**2*(7*x - 2)/7
Let y(t) be the first derivative of t**7/14 + 3*t**6/10 + 3*t**5/20 - 3*t**4/4 - t**3 - 6*t - 9. Let b(f) be the first derivative of y(f). Factor b(k).
3*k*(k - 1)*(k + 1)**2*(k + 2)
Let k(n) be the first derivative of 3*n**4/20 + 411*n**3/5 + 168921*n**2/10 + 7714059*n/5 + 250. Find w such that k(w) = 0.
-137
Let f = 81929533/576 + -568953/4. Let i = f - 5/64. Factor 0*q**2 + 2/9*q**4 - 2/9 - i*q + 4/9*q**3.
2*(q - 1)*(q + 1)**3/9
Suppose 10*n - 3*c + 18 = 12*n, 5*c = -4*n + 32. Factor -4*v**2 - 4/3 - 4/3*v**n - 4*v.
-4*(v + 1)**3/3
Let p = -61 + 56. Let i(x) = 16*x - 12. Let t(n) = -n**2 + 17*n - 11. Let j(s) = p*i(s) + 4*t(s). Determine m, given that j(m) = 0.
-4, 1
Suppose 0*q + 18 = 6*q. Determine x, given that -2*x**5 - 6*x**2 - 36*x**4 - 13*x**5 + x**3 - 15*x**q - 13*x**3 = 0.
-1, -2/5, 0
Let u(p) be the first derivative of 64/15*p**3 + 2 - 16/5*p**2 + 4/5*p. Find g such that u(g) = 0.
1/4
Determine m so that -m**4 + 6 - 10*m**4 - 5*m**2 + 14*m**4 + 0*m - 4*m**4 + 5*m**3 - 5*m = 0.
-1, 1, 2, 3
Let p(s) be the third derivative of -37*s**8/112 + 3*s**7/70 - 304*s**2. Factor p(u).
-3*u**4*(37*u - 3)
Let r(s) be the third derivative of s**5/3 - 7*s**4/2 + 8*s**3/3 + 18*s**2 + 3. Factor r(t).
4*(t - 4)*(5*t - 1)
Suppose -3*t = 2*g, -4*t + 9 - 2 = 5*g. Let a be (-3)/2 + 14/4 + 4. Factor -15*k - k**4 - a + 13*k**g - k**3 + 3*k**3 - 3*k**2 + 10*k**4.
3*(k - 1)*(k + 1)**2*(3*k + 2)
Factor 26*x**3 - 6693*x - 210*x**2 + 5*x**4 + 7035*