 + 15*u(k). Factor v(x).
5*(x - 14)*(x - 2)*(x - 1)
Determine u, given that 200/3*u + 6647/6*u**4 + 3944/3*u**3 - 4913/6*u**5 - 8/3 - 1628/3*u**2 = 0.
-1, 2/17, 2
Let y be 464/174*3*1/20. Factor 4/5*c + 2/5*c**2 + y.
2*(c + 1)**2/5
Let u be (6/(-3))/(20/(-7) - -3). Let l(d) = -d**2 - 13*d + 14. Let b be l(u). Determine y so that -10/7*y**2 - 8/7*y**3 - 2/7*y**4 - 4/7*y + b = 0.
-2, -1, 0
Let i = 1418/497 + 2/497. Let t(c) = -10*c + 25. Let f be t(2). Suppose 40/7*s**2 - 4/7*s**f + i*s**4 - 40/7*s**3 - 20/7*s + 4/7 = 0. What is s?
1
Let d(p) be the second derivative of -p**5/5 - 2*p**4/3 + 40*p**3/3 - 48*p**2 + 4*p - 2. Factor d(g).
-4*(g - 2)**2*(g + 6)
Let j(m) be the first derivative of 0*m - 20 + 0*m**2 + 4/3*m**3 - 1/2*m**4. Factor j(p).
-2*p**2*(p - 2)
Let n(r) be the third derivative of r**9/1008 - r**7/140 + r**5/40 - 17*r**3/6 - 4*r**2. Let b(h) be the first derivative of n(h). Factor b(g).
3*g*(g - 1)**2*(g + 1)**2
Let u(q) = 32*q**2 - 19*q + 11. Let h(w) = -17*w**2 + 9*w - 6. Let m(o) = 11*h(o) + 6*u(o). Suppose m(j) = 0. What is j?
0, 3
Factor -135/4*t**2 - 3/4 - 69/2*t.
-3*(t + 1)*(45*t + 1)/4
Let z(w) be the third derivative of w**6/30 + 123*w**5/5 + 15129*w**4/2 + 1240578*w**3 + 5*w**2 + 44*w. Let z(s) = 0. Calculate s.
-123
Determine a, given that 8/5*a + 0 - 2/5*a**2 = 0.
0, 4
Factor 0 + 8/3*g**2 + 4/3*g**3 - 4*g.
4*g*(g - 1)*(g + 3)/3
Let z(s) be the third derivative of s**6/30 - 7*s**5/20 + 5*s**4/24 + 88*s**2 - s. Suppose z(g) = 0. What is g?
0, 1/4, 5
Let x(j) be the first derivative of 2*j**6/3 + 16*j**5/5 + j**4 - 40*j**3/3 - 8*j**2 + 32*j + 37. Factor x(k).
4*(k - 1)**2*(k + 2)**3
Let d(t) = -t**3 + 4*t**2 - 3*t + 1. Let f = -15 - -17. Let o be d(f). Let 2*j**2 - o*j**5 + 6*j**5 + j**3 - j**5 - 3*j**3 - 2*j**4 = 0. Calculate j.
-1, 0, 1
Let -132*n + 70*n**2 + 8*n**3 - 23/4*n**4 + 36 - 3/4*n**5 = 0. What is n?
-6, 1/3, 2
Let k(y) = y**2 + 8*y - 6. Let h be k(-9). Suppose h*l**3 - 4*l**3 + 38*l**2 - 27*l + 27 - 29*l**2 = 0. Calculate l.
3
Let q be ((-48)/(-2))/(-3)*(-5)/10. Let h(i) be the second derivative of 1/15*i**3 + 1/60*i**q - i + 1/10*i**2 + 0. Factor h(x).
(x + 1)**2/5
Let r = 110 + -111. Let j be 0*r*(28/8 + -3). Suppose 0*k + j*k**2 - 4/15*k**3 + 0 + 2/15*k**4 = 0. Calculate k.
0, 2
Let x(y) be the first derivative of y**6/18 - 46*y**5/15 + 15*y**4/4 + 319. Let x(r) = 0. Calculate r.
0, 1, 45
Let g(w) be the third derivative of w**7/210 + 17*w**6/360 + 17*w**5/90 + 7*w**4/18 + 4*w**3/9 + 27*w**2 - 4*w. Factor g(m).
(m + 1)*(m + 2)**2*(3*m + 2)/3
Factor 11 + 2*k**3 - 2*k**2 + 14*k - k + 79 - 55*k.
2*(k - 3)**2*(k + 5)
Let r(o) be the third derivative of -o**7/42 - 5*o**6/24 - 7*o**5/12 - 5*o**4/8 - 18*o**2 - 3. Find m such that r(m) = 0.
-3, -1, 0
What is i in -14/3*i - 2/9*i**2 + 92/9 = 0?
-23, 2
Let 3 - 10/7*i + 1/7*i**2 = 0. What is i?
3, 7
Let i(a) be the first derivative of 1/16*a**2 + 1/4*a - 28 - 1/24*a**3. What is u in i(u) = 0?
-1, 2
Let d be 2/(-5) - (0 + (-48)/20). Suppose -d*z = 5*z - 21. Factor 2/7*q**z + 4/7 - 4/7*q**2 - 2/7*q.
2*(q - 2)*(q - 1)*(q + 1)/7
Suppose 0 = -k + 3*k - 28. Suppose 3*r - 1 = 4*n, -5*r + k = -r + n. Factor -3*h**3 - 8 - 5*h**r - 6*h**2 + 24*h + 2*h**3 - 4*h**3.
-2*(h - 1)*(h + 2)*(5*h - 2)
Let z be 1 - (1 + 39/(-3)). Factor -8 - 36*i + 15*i + 2*i**2 + 2*i**3 + z*i + 0.
2*(i - 2)*(i + 1)*(i + 2)
Let z(q) = -q**3 + 4*q**2 + 23*q - 90. Let h be z(4). Factor -2/5*g + 2/5*g**h + 8/5*g**5 + 22/5*g**4 + 18/5*g**3 + 0.
2*g*(g + 1)**3*(4*g - 1)/5
Let x(b) be the first derivative of b**3/3 - b - 188. Suppose x(y) = 0. Calculate y.
-1, 1
Let l(u) be the first derivative of 8 - 2/3*u**2 - 10/9*u - 2/27*u**3. Solve l(i) = 0 for i.
-5, -1
Let w(h) = h**2 - 24*h + 2. Let t(y) = -5*y**2 + 97*y - 9. Let x(f) = 2*t(f) + 9*w(f). Suppose x(g) = 0. Calculate g.
-22, 0
Suppose -1/4*z**2 + 45/2*z - 89/4 = 0. Calculate z.
1, 89
Suppose -2/7*j**2 + 32/7 + 30/7*j = 0. Calculate j.
-1, 16
Let k(m) be the first derivative of -m**5/20 - m**4/4 + m**3/6 + 3*m**2/2 + 5*m - 21. Let o(n) be the first derivative of k(n). Factor o(h).
-(h - 1)*(h + 1)*(h + 3)
Let t be 3/(3/(-4 + 7)). Suppose 17*i**3 - 20*i**3 - t*i**2 + 15*i**2 - 9*i = 0. Calculate i.
0, 1, 3
Suppose -2*t + 16 = 2*k - 4, 2*t - 18 = -k. Suppose 4*m - t = b, 6*b = -2*m + 3*b + 18. Factor -64/7*q**5 - 40/7*q**2 - 132/7*q**m - 4/7*q - 160/7*q**4 + 0.
-4*q*(q + 1)**2*(4*q + 1)**2/7
Suppose 30*f**3 + 100*f - 20*f**2 + 11*f**3 - 40*f**3 = 0. Calculate f.
0, 10
Suppose 0 = -2*c - 7*c + 153. Determine w so that -c + 20*w - 4*w**2 - 5 + 10 - 2*w**3 - 2*w**3 = 0.
-3, 1
Let n(h) be the second derivative of -2*h**6/3 + 83*h**5/5 - 122*h**4 + 320*h**3/3 + 256*h**2 - 14*h. Suppose n(b) = 0. What is b?
-2/5, 1, 8
Let q(f) be the third derivative of f**7/105 - 5*f**6/12 + 28*f**5/5 - 12*f**4 - 5*f**2 + 23*f. Find o, given that q(o) = 0.
0, 1, 12
Factor 1/9*a**2 - 13/9 - 4/3*a.
(a - 13)*(a + 1)/9
Factor 3*i**5 - 24*i**2 + 21*i - 70*i + 17*i + 10*i - 9*i**3 + 10*i + 6*i**4.
3*i*(i - 2)*(i + 1)**2*(i + 2)
Let s(j) be the second derivative of j**6/10 + 27*j**5/20 + 7*j**4/4 - 9*j**3/2 - 12*j**2 - 2*j + 64. Solve s(z) = 0.
-8, -1, 1
Let i(p) = -18*p**2 - 40*p - 46. Let t(g) = -2*g**2 - 1. Let v(w) = -i(w) + 8*t(w). Factor v(s).
2*(s + 1)*(s + 19)
Let j(o) be the second derivative of -3*o**5/20 - 5*o**4/6 - o**3/6 + 3*o**2 - 22*o. Find a, given that j(a) = 0.
-3, -1, 2/3
Let n = -62/25 + 1228/475. Find z, given that 8/19*z - n*z**2 + 0 = 0.
0, 4
Let r(j) be the second derivative of -j**6/20 - 21*j**5/20 - 57*j**4/8 - 9*j**3 + 81*j**2 - 307*j. Solve r(h) = 0 for h.
-6, -3, 1
Let k be 5*885/(-300) + 15. Determine g, given that -k*g**4 + 0*g + 0 + 0*g**2 - 1/8*g**3 - 1/8*g**5 = 0.
-1, 0
Find l, given that -244/9*l + 7442/9 + 2/9*l**2 = 0.
61
Factor -18 - 3*y**3 + 11*y**2 - 5*y**2 + 28*y - 13*y.
-3*(y - 3)*(y - 1)*(y + 2)
Solve 56/3*c**2 + 0 + 2/3*c**5 + 8*c + 16/3*c**4 + 46/3*c**3 = 0.
-3, -2, -1, 0
Let m = -2981 + 2984. Let g(d) be the first derivative of 5/4*d**2 - 9 + 8/3*d**m + 9/8*d**4 - d. Factor g(q).
(q + 1)**2*(9*q - 2)/2
Let i(p) be the first derivative of p**6/14 + 12*p**5/35 + 3*p**4/7 - 2*p**3/7 - 15*p**2/14 - 6*p/7 + 46. Determine y, given that i(y) = 0.
-2, -1, 1
Let c be -7*(32/(-14) + 2). Suppose 4*k**2 - 20*k + 4*k**c - 11 + 19 = 0. What is k?
1/2, 2
Let n(b) be the second derivative of -b**7/210 + b**6/75 + b**5/100 - b**4/30 - 17*b - 1. What is p in n(p) = 0?
-1, 0, 1, 2
Let m(b) be the first derivative of 2/3*b**3 + 8 + 16*b + 6*b**2. Factor m(y).
2*(y + 2)*(y + 4)
What is n in 0*n**2 + 0 - 2/7*n**3 + 0*n = 0?
0
Let y be (-765)/75 - (0 - 11). Solve 12/5 + y*k**2 + 16/5*k = 0 for k.
-3, -1
Suppose -26 - 110 = 4*n. Let g be n/(-8) + (-6)/(-8). Suppose -5*u**3 + 8*u - 2*u**4 - u**3 - g*u - 5*u - 6*u**2 = 0. Calculate u.
-1, 0
Let m(y) be the second derivative of -y**5/120 + y**4/24 + 2*y**3/3 - 20*y**2/3 - 55*y. Determine i, given that m(i) = 0.
-5, 4
Let x(z) be the second derivative of -z**7/2520 + z**6/120 - 3*z**5/40 + 41*z**4/12 + 35*z. Let f(i) be the third derivative of x(i). Factor f(y).
-(y - 3)**2
Let r(n) = -136*n - 272. Let h be r(-2). Factor 0 + h*v + 0*v**3 + 2/11*v**4 - 8/11*v**5 + 0*v**2.
-2*v**4*(4*v - 1)/11
Let w(l) be the first derivative of -15/2*l**2 - 10*l + 8 - 5/3*l**3. Solve w(v) = 0 for v.
-2, -1
Let t be (-2 - 14517/(-24)) + 1/8. Let j = 4229/7 - t. Determine n, given that 8/7*n - j - 2/7*n**2 = 0.
2
Suppose -6*w + w - 2*p = -75, 5*p - 15 = -w. Factor 5*x**2 - 6*x**2 + 5*x**2 - w - 10*x + x**2.
5*(x - 3)*(x + 1)
Let c be 99/12 + (70/(-70))/(2/14). Solve 0 - 5/4*k**2 + c*k**4 + 0*k + 0*k**3 = 0 for k.
-1, 0, 1
Suppose 2*a = -v - v + 12, 5*v = a + 18. Solve -80*c + 20 + 41*c**2 + 12 + 9*c**a = 0.
4/5
Let q = 3 - 1. Suppose -u = 2*g - 15, 18*g - 2*u = 17*g + 15. Factor 2*c + 7*c - q*c - c + g*c**2.
3*c*(3*c + 2)
Let b be (-3 + (3 - -4))/(8/6). Factor 1247*h - 3*h**2 - 1247*h + 9*h**b + 3*h**5 - 9*h**4.
3*h**2*(h - 1)**3
Let a(g) be the second derivative of -4/63*g**7 - g + 1/3*g**2 - 14/15*g**5 + 0 + 11/9*g**4 + 17/45*g**6 - 8/9*g**3. Let a(q) = 0. Calculate q.
1/4, 1
Factor -40 - 41*t**2 - 1/2*t**3 - 161/2*t.
-(t + 1)**2*(t + 80)/2
Let a(u) be the third derivative of -u**6/160 + 6*u**5/5 + u**4/32 - 12*u**3 + 851*u**2. Fa