 u*x(p) - 5*z(p). Factor a(q).
3*(q - 2)*(q - 1)*(q + 2)
Let y(b) be the second derivative of b**5/90 + 10*b**4/27 - 7*b**3/9 - 2*b + 792. Find m such that y(m) = 0.
-21, 0, 1
Let i(r) be the third derivative of r**8/20160 + r**7/2520 + r**6/1080 + 3*r**4/8 - 2*r**2. Let y(m) be the second derivative of i(m). Factor y(z).
z*(z + 1)*(z + 2)/3
Suppose -2 = 4*r + 18. Let w(a) = 3*a**2 - 13*a. Let h(i) = -8*i**2 + 32*i. Let u(t) = r*h(t) - 12*w(t). Solve u(d) = 0 for d.
0, 1
Factor 0 + 14/19*r**3 - 4/19*r**2 + 0*r - 6/19*r**4.
-2*r**2*(r - 2)*(3*r - 1)/19
Let k be (12 + (-253)/22)*0. Suppose -4*j = -12, -6 = 2*a + 2*j - 20. Factor 0 - 32/9*c**3 + k*c + 14/9*c**a + 8/9*c**2.
2*c**2*(c - 2)*(7*c - 2)/9
Let b = 9003/88 + -1124/11. Determine p, given that 5/8*p**2 + 0 - b*p + 7/8*p**4 - 1/4*p**5 - 9/8*p**3 = 0.
0, 1/2, 1
Suppose 3*b + 8 = 17. Let d be (-697)/(-123) + b/1 + 0. Determine l, given that -d*l**2 - 8*l**3 - 4/3*l + 0 + 18*l**4 = 0.
-1/3, -2/9, 0, 1
Let z(k) = 11*k - 4. Let w be z(2). Let r = w + -14. Determine f so that -f**3 + 6*f - 4 - 39*f**3 + r*f + 34*f**2 = 0.
-2/5, 1/4, 1
Let s(w) = w**3 + 3*w**2 - 4*w + 3. Let m be s(-3). Suppose 3 + 20*n - 33 + m - 5*n**2 = 0. Calculate n.
1, 3
Let m(u) be the third derivative of -u**8/56 + u**7/10 - u**6/20 - 11*u**5/20 + u**4/2 + 2*u**3 - 5*u**2 - 2. Let m(x) = 0. What is x?
-1, -1/2, 1, 2
Let w(i) be the third derivative of -13*i**2 + 7/30*i**5 + 5/4*i**4 + 3*i**3 + 0*i + 1/60*i**6 + 0. Solve w(m) = 0.
-3, -1
Let y be 3/1 + 15/3. Let o be 3/1 + 1/(-1). Factor y*c + o*c - 13*c - c**2 + 0*c.
-c*(c + 3)
Let b(i) be the first derivative of i**8/10080 - i**7/1260 + i**6/720 - 25*i**3/3 - 41. Let x(k) be the third derivative of b(k). Solve x(n) = 0 for n.
0, 1, 3
Let p(n) be the third derivative of -n**7/504 - n**6/72 - n**5/24 - 17*n**4/24 + 8*n**2. Let a(w) be the second derivative of p(w). Factor a(h).
-5*(h + 1)**2
Let x(z) be the first derivative of -9*z**7/14 - 2*z**6 - 39*z**5/20 - z**4/2 + 8*z - 18. Let n(g) be the first derivative of x(g). Factor n(i).
-3*i**2*(i + 1)**2*(9*i + 2)
Let -308*o + 154*o + 27 - 3*o**2 + 154*o = 0. Calculate o.
-3, 3
Let f = -4042/85 - -822/17. Suppose -f*o**2 - 36/5 - 24/5*o = 0. What is o?
-3
Let a(m) be the first derivative of -2*m**5/45 + m**4/9 - 44. Factor a(q).
-2*q**3*(q - 2)/9
Let c(l) be the third derivative of l**7/42 + l**6/6 + 5*l**5/12 + 5*l**4/12 + 306*l**2. Factor c(t).
5*t*(t + 1)**2*(t + 2)
Suppose -5*v + 18 = 5*p - 7, v - p = 1. Let x(q) be the second derivative of -5/22*q**4 - 1/110*q**5 - 25/11*q**v - 125/11*q**2 + 0 + 6*q. Factor x(o).
-2*(o + 5)**3/11
Let c = 5 - 5. Suppose c = 2*a + 4*r - 5*r - 7, -5*r - 15 = -5*a. Solve 0*d + a*d**3 + d + 9*d**3 - 14*d**3 = 0.
-1, 0, 1
Let b = -106 - -102. Let a(t) = t**3 + 3*t**2 - 7*t - 10. Let s be a(b). Let 0*k + 2/9*k**s - 8/9 = 0. What is k?
-2, 2
Let d(m) be the second derivative of 0*m**4 - 1/24*m**3 + 0 + 0*m**2 - 16*m + 1/80*m**5. Solve d(u) = 0 for u.
-1, 0, 1
Factor -1/2*c**2 - 32 + 8*c.
-(c - 8)**2/2
Let w(v) be the third derivative of -v**6/40 + v**5/5 - v**4/2 + 446*v**2. Factor w(l).
-3*l*(l - 2)**2
Let h = -12 + 21. Let b be 4/((12/h)/4). Determine m, given that m**4 - 3*m**4 - m**3 - m**5 - 12*m**2 + b*m**2 = 0.
-1, 0
Let r(s) = 11*s**2 + 14*s. Let f(d) = -24*d**2 - 32*d. Let w(i) = -25*i**2 - 33*i. Let n(l) = 4*f(l) - 3*w(l). Let j(b) = 6*n(b) + 11*r(b). Factor j(h).
-5*h*(h + 4)
Let r(y) be the third derivative of -y**6/60 + 6*y**5/5 - 11*y**4 + 128*y**3/3 + 49*y**2 + y. Factor r(x).
-2*(x - 32)*(x - 2)**2
Suppose 1728*i = 1735*i - 14. Let r(s) be the third derivative of 1/300*s**6 - 1/12*s**4 + 0 - 1/150*s**5 + 0*s - 1/5*s**3 - 3*s**i. Factor r(b).
2*(b - 3)*(b + 1)**2/5
Factor -15*n**2 - 28 + 14 - 64*n - 46 + 11*n**2.
-4*(n + 1)*(n + 15)
Let d(l) = l + 1. Let q(k) = -9*k + 47. Let v be q(5). Let s(x) = x**2 - x - 2. Let a(o) = v*d(o) + s(o). Factor a(u).
u*(u + 1)
Let g be (-9)/4 - -3 - (-795)/(-1080). Let y(k) be the third derivative of 0*k**3 - 12*k**2 + 0 + 1/360*k**6 - g*k**4 + 0*k + 0*k**5. Factor y(n).
n*(n - 1)*(n + 1)/3
Let d(u) be the first derivative of u**4/4 + 16*u**3/3 - 19*u**2/2 - 34*u + 80. Let j be d(-17). Factor 8/3*z**2 + 0*z + j + 4/3*z**3.
4*z**2*(z + 2)/3
Let j(q) be the second derivative of 5*q**7/42 - 7*q**6/3 + 25*q**5/4 - 5*q**4 + 456*q. Factor j(a).
5*a**2*(a - 12)*(a - 1)**2
Let o(z) be the second derivative of -4*z**2 - 1/5*z**5 - 10/3*z**3 + 0 - 4/3*z**4 + 35*z. Find h, given that o(h) = 0.
-2, -1
Factor -4 - 9/4*z**4 + 24*z - 30*z**2 + 14*z**3.
-(z - 2)**3*(9*z - 2)/4
Let q(g) = -2*g + 47. Let m be q(22). Let s(u) be the first derivative of -5/9*u**m - 4/3*u - 1 + 7/12*u**4 - 8/3*u**2. Solve s(c) = 0.
-1, -2/7, 2
Let d(y) be the second derivative of y**10/90720 - y**9/7560 + y**8/4032 + 7*y**4/6 + 19*y. Let a(p) be the third derivative of d(p). Factor a(l).
l**3*(l - 5)*(l - 1)/3
Solve 5/3*p**5 - 60 + 200/3*p + 115/3*p**2 - 35*p**3 - 35/3*p**4 = 0 for p.
-2, 1, 9
Let -3*w**5 - 127*w**3 - 89*w**3 + 92*w**2 + 27*w**4 + 2*w**5 + 340*w**2 = 0. Calculate w.
0, 3, 12
Factor -l**5 - 7/4*l**4 + 0 + 0*l - 1/2*l**3 + 1/4*l**2.
-l**2*(l + 1)**2*(4*l - 1)/4
Factor -1/5*u**3 + 0 + 0*u + 19/5*u**2.
-u**2*(u - 19)/5
Let w(t) be the third derivative of t**8/84 + 10*t**7/21 + 39*t**6/5 + 994*t**5/15 + 1813*t**4/6 + 686*t**3 - 57*t**2. Find s such that w(s) = 0.
-7, -3, -1
Suppose -18 = -5*g - 4*g. Factor 16*l + 4*l**g - l - 5*l - 2*l.
4*l*(l + 2)
Let m(b) be the third derivative of -b**6/90 + 11*b**3/6 - 15*b**2. Let c(z) be the first derivative of m(z). Solve c(t) = 0.
0
Let n(p) be the second derivative of -p**9/504 - p**8/168 - p**7/420 + p**6/180 + 13*p**3/6 - 11*p. Let l(r) be the second derivative of n(r). Factor l(i).
-2*i**2*(i + 1)**2*(3*i - 1)
Let a = 5343 - 5340. Suppose -4 = -k - 2. Let -3/2*z**a - 1/2*z**4 - z**k + 0 + 0*z = 0. What is z?
-2, -1, 0
Let j(k) = -k**3 - 41*k**2 - 113*k + 38. Let u be j(-38). Let v(y) be the third derivative of 3*y**2 - 1/450*y**5 + u*y**3 + 0 + 0*y**4 + 0*y. Factor v(x).
-2*x**2/15
Let q be (1/(-1))/((-34)/170). Factor 26 + 11 + 23 - q*x**2 - 5*x**3 + 40*x.
-5*(x - 3)*(x + 2)**2
Let l(h) be the first derivative of -h**5/35 - h**4/28 + 10*h**3/21 - 4*h**2/7 + 45. Solve l(a) = 0.
-4, 0, 1, 2
Suppose -5*a + 108 = a. Suppose 84 = a*w + 3*w. Factor -25*u**2 + 6*u + 44/3*u**3 - 7/3*u**w + 0.
-u*(u - 3)**2*(7*u - 2)/3
Let x(k) be the third derivative of -k**7/1050 - k**6/300 + k**5/300 + k**4/60 + k**2. Determine a, given that x(a) = 0.
-2, -1, 0, 1
Let z(i) be the first derivative of -28*i**4 + 88*i**3/3 - 23*i**2/2 + 2*i - 49. Suppose z(r) = 0. Calculate r.
1/4, 2/7
Let y(m) be the second derivative of m**9/7560 + m**8/6720 - 7*m**4/3 - 27*m. Let p(n) be the third derivative of y(n). Determine l so that p(l) = 0.
-1/2, 0
Let s(l) = l**3 + 5*l**2 - 7*l - 12. Let o be s(-5). Let n = -21 + o. Factor 1/3*k**3 + 0*k - 1/6*k**n - 1/6*k**4 + 0.
-k**2*(k - 1)**2/6
What is a in -27*a**2 + 49*a**2 - 6 - 19*a**2 + 3*a = 0?
-2, 1
Let q(r) be the first derivative of -r**4/12 - r**3/3 + r**2 + 8*r/3 - 64. Factor q(m).
-(m - 2)*(m + 1)*(m + 4)/3
Let i(c) be the third derivative of -1/4*c**3 - 1/24*c**5 + 0*c - 1/240*c**6 - 2 + 8*c**2 - 7/48*c**4. Let i(k) = 0. Calculate k.
-3, -1
Factor 0 - 1/9*m**5 - 8/9*m**2 + 1/3*m + 0*m**4 + 2/3*m**3.
-m*(m - 1)**3*(m + 3)/9
Let y(u) be the second derivative of -u**7/189 + u**6/135 + u**5/45 - 80*u. Factor y(o).
-2*o**3*(o - 2)*(o + 1)/9
Let t(k) be the third derivative of -k**5/12 - 95*k**4/24 - 2*k**2. Factor t(d).
-5*d*(d + 19)
Let k(f) be the first derivative of 2/35*f**5 - 20 + 4/7*f**3 + 5/14*f**4 + 0*f + 0*f**2. Factor k(a).
2*a**2*(a + 2)*(a + 3)/7
Let k be (-2*1/(-12))/(33/22). Let z(u) be the second derivative of 0 + 4*u - 1/45*u**5 - 1/189*u**7 - 1/45*u**6 + 1/9*u**2 + 1/27*u**4 + k*u**3. Factor z(q).
-2*(q - 1)*(q + 1)**4/9
Let z = -46 - -55. Determine f so that -3*f + 2*f**2 - z*f - 4*f + 2*f**2 = 0.
0, 4
Let j(f) = -f**2 + f - 1. Let l(r) = 10*r**2 - 98*r - 33. Let g(t) = 15*j(t) + 3*l(t). Factor g(k).
3*(k - 19)*(5*k + 2)
Suppose 15*x - 10*x = 5. Suppose 11 - x = 5*r. Factor 1/6*j**5 + 2/3*j + 13/6*j**3 - r*j**2 - j**4 + 0.
j*(j - 2)**2*(j - 1)**2/6
Let j(m) be the second derivative of 0 - 7