. Calculate u.
-1, 0, 2/5
Let x = -730 - -734. Let r(a) be the third derivative of 0*a - 1/15*a**5 + 2/3*a**3 + 0*a**x + 0 + 8*a**2. Factor r(m).
-4*(m - 1)*(m + 1)
Factor 0 + 0*s**4 + 0*s - 1/6*s**5 - 1/3*s**2 + 1/2*s**3.
-s**2*(s - 1)**2*(s + 2)/6
Let a(u) be the second derivative of u**7/56 - 43*u**6/40 + 123*u**5/40 + u**4/8 - 83*u**3/8 + 123*u**2/8 + 334*u. Let a(g) = 0. Calculate g.
-1, 1, 41
Let h = 1550 + -1544. Let q(v) be the second derivative of 0*v**3 + 0*v**2 + 1/252*v**7 + 5*v + 1/120*v**5 + 0 + 1/90*v**h + 0*v**4. Factor q(d).
d**3*(d + 1)**2/6
Let l(b) be the third derivative of 2*b**2 + 1/6*b**3 + 0 - 1/12*b**4 + 9*b + 1/60*b**5. Suppose l(v) = 0. What is v?
1
Suppose g - 9 = 4*u, 0 = g + 3*g - u - 36. Suppose g = 4*l + 1. Find q, given that 8*q**4 - 9*q**2 + l*q**5 - q**3 + 0*q**4 + 2*q**2 - 3*q**4 + 2 - q = 0.
-2, -1, 1/2, 1
Let k(g) be the first derivative of -g**7/140 - g**6/60 + g**5/30 + 9*g**2/2 - 12. Let a(s) be the second derivative of k(s). What is i in a(i) = 0?
-2, 0, 2/3
Suppose -10*n + 16 = -4. Let -27*v**4 + 4*v**3 + 30*v**4 - 3 + v**n + 3 = 0. Calculate v.
-1, -1/3, 0
Let l(y) be the third derivative of 0*y + 1/24*y**4 + 0*y**3 + 11*y**2 + 0. Let f(a) = -a**3 + a**2 + 11*a + 3. Let x(s) = -f(s) + 6*l(s). Factor x(u).
(u - 3)*(u + 1)**2
Let y = 1642/3 - 547. Factor -1/6 - 1/6*r**2 - y*r.
-(r + 1)**2/6
Suppose -87*h - 8878 = -9139. Let i = -2 - -6. Factor 2/17*x**i + 0*x**2 - 4/17*x + 4/17*x**h - 2/17.
2*(x - 1)*(x + 1)**3/17
Let c be (1/4)/((-9)/2868). Let w = -79 - c. Factor 0 - 2/3*j**2 - 2/3*j + w*j**3 + 2/3*j**4.
2*j*(j - 1)*(j + 1)**2/3
Suppose -3*f = 2*h + 6 - 20, -2 = -f + 2*h. Factor -3*b**4 - 5*b**4 + 5*b**5 + 13*b**f.
5*b**4*(b + 1)
Factor -2/5*l**3 + 24/5 + 46/5*l + 4*l**2.
-2*(l - 12)*(l + 1)**2/5
Suppose -2*k = -2*b - 188, 0 = -2*k + b + 73 + 116. Let z be (-24)/30 - k/(-25). Factor -6/5*o**2 - 2/5 + 6/5*o + 2/5*o**z.
2*(o - 1)**3/5
Factor -25/6*h**2 - 2*h + 1/6*h**4 - 13/6*h**3 + 1/6*h**5 + 0.
h*(h - 4)*(h + 1)**2*(h + 3)/6
Let o be 1/((-6)/3)*-22. Let b = o - 7. Find p, given that -p**2 - b*p - p + 2*p = 0.
-3, 0
Let u(s) = -5*s**3 - s**2 + 4*s + 8. Let w be u(-2). Let d be w/16 + ((-84)/(-16))/7. Let -3/2*j**2 - d*j + 9/2 = 0. Calculate j.
-3, 1
Let f(r) = 3*r**2 - 21*r + 24. Let z(a) = 3*a**2 - 22*a + 28. Let c(b) = 2*f(b) - 3*z(b). Factor c(i).
-3*(i - 6)*(i - 2)
Let o = -97 - -2911/30. Let u(r) be the second derivative of 0*r**2 - 1/50*r**5 + 8*r + 1/75*r**6 - o*r**4 + 0 + 1/15*r**3. Factor u(p).
2*p*(p - 1)**2*(p + 1)/5
Let v(w) = 3*w**2 - 2*w + 1. Let g be v(1). Suppose 4*j + j = 10. Factor 0*l**j + l**2 + g*l**2 - 3 - 2*l**2 + 2*l.
(l - 1)*(l + 3)
Factor 0*n + 0 + 10/3*n**4 - 8/3*n**2 - 4/3*n**3 - n**5.
-n**2*(n - 2)**2*(3*n + 2)/3
Solve 2*d**2 - 10*d**2 - 91 - 24*d + 116 + 6*d**2 + d**2 = 0 for d.
-25, 1
Suppose 0 = i + p - 3, 13 = 2*i + 3*p - 8*p. Suppose 4*l = -x - 6, i*x - 1 - 3 = -2*l. Factor 15*g**2 + 18 - 13*g**x - 14*g + 2*g.
2*(g - 3)**2
Solve -2*k + 2*k**2 + 181 - 205 + 0*k = 0 for k.
-3, 4
Let w(d) be the second derivative of -7/48*d**4 - 1/80*d**5 - 1/3*d**3 + 2*d**2 + 11*d + 0. Let w(s) = 0. Calculate s.
-4, 1
Let k = -173 - -118. Let x = k - -59. Factor y + 1/2*y**x + 0 + 5/2*y**2 + 2*y**3.
y*(y + 1)**2*(y + 2)/2
Suppose -149*v = -158*v + 288. Let x be 3/(-3)*18/(-6). Factor -224/3*r**2 + v*r + 84*r**x - 45*r**4 + 9*r**5 - 16/3.
(r - 2)*(r - 1)*(3*r - 2)**3/3
Factor -2/11*s**3 - 6/11*s**2 + 8/11*s + 0.
-2*s*(s - 1)*(s + 4)/11
Let h be 216/462 - 6/33. Let u(y) = y**3 - 4*y**2 - 4*y - 2. Let t be u(5). Let 0 + 0*g**2 - 2/7*g**t + 0*g + h*g**4 = 0. What is g?
0, 1
Let q = 7/26 - -3/13. Factor -q*s + 1/2*s**3 - 1/4*s**2 + 1/4*s**4 + 0.
s*(s - 1)*(s + 1)*(s + 2)/4
Suppose 3*j = 17 + 7. Solve j*y**2 + 0*y + 4*y**3 + 0*y**3 + 4*y = 0.
-1, 0
Factor 2*w + 5 + 1/5*w**2.
(w + 5)**2/5
Let d = -92 + 95. What is h in 4*h**5 - 16*h**3 + 36 - 8*h**2 - 60*h + 42*h**3 + 9*h**d - 28*h**4 + 21*h**3 = 0?
-1, 1, 3
What is o in -45*o**2 - 30*o**2 + 120*o - 100 + 75 - 19*o**3 - o**3 = 0?
-5, 1/4, 1
Let m be ((3/2)/3)/(15/(-60)). Let z be (134/(-42) + 3)*3/m. What is h in -2/7*h + 0 + z*h**2 = 0?
0, 1
Let c(u) be the second derivative of 37*u + 1/14*u**4 + 4/7*u**2 + 1/140*u**5 + 0 - 5/14*u**3. Determine d so that c(d) = 0.
-8, 1
Let y(u) = 5*u**3 - 25*u**2 + 50*u - 45. Let i(w) = -5*w**3 + 24*w**2 - 48*w + 46. Let s(p) = -5*i(p) - 6*y(p). Factor s(l).
-5*(l - 2)**3
Let p = -30 - -30. Let u(s) be the third derivative of -1/300*s**6 + p + 0*s + 1/840*s**8 + 1/525*s**7 - 1/150*s**5 + 0*s**3 + 0*s**4 + s**2. Factor u(j).
2*j**2*(j - 1)*(j + 1)**2/5
Let z = 6168 - 6168. Factor z*l**2 + 1/3*l**3 + 0 + 0*l + 1/3*l**4.
l**3*(l + 1)/3
Let m(d) be the first derivative of 5*d**6/6 + 11*d**5 + 95*d**4/4 + 15*d**3 - 29. Suppose m(w) = 0. Calculate w.
-9, -1, 0
Let q(j) = -5*j**2 + 16*j - 9. Let w(r) = 6*r**2 - 20*r + 9. Let u(z) = 7*q(z) + 6*w(z). Factor u(f).
(f - 9)*(f + 1)
Let k be (-266)/(-33) - (-48)/(-792). Let q(r) = r**2 + 5*r + 3. Let o be q(-5). Factor -2*x**3 - 2*x**o - 8 + k + 8*x**2.
-4*x**2*(x - 2)
Suppose -u + 1 = -1. Let y be (247/(-13) + 16)/(84/(-8)). Factor -2/7*p**u + 0 + y*p.
-2*p*(p - 1)/7
Let t be 1*(1 + 4/(-6)). Let a = 821 - 819. Factor t*x**a + 0 - 1/3*x**3 + 0*x.
-x**2*(x - 1)/3
Let j(f) be the third derivative of f**6/360 - f**5/180 - 5*f**4/36 - 4*f**3/9 - 2*f**2 + 24*f. What is o in j(o) = 0?
-2, -1, 4
Factor 0 - 1/4*r**2 - 1/4*r**3 + 0*r.
-r**2*(r + 1)/4
Solve -516/5*d + 144/5 + 36/5*d**2 + 21/5*d**3 = 0 for d.
-6, 2/7, 4
Let f(w) be the second derivative of w**6/330 - 9*w**5/220 + 5*w**4/44 - 7*w**3/66 + 179*w. Determine z, given that f(z) = 0.
0, 1, 7
Let w(t) = -64*t**3 + 136*t**2 - 80*t + 36. Let q(d) = 15*d**2 - 5*d**3 - 2*d**3 + 4 - 67*d + 58*d. Let y(h) = 28*q(h) - 3*w(h). Solve y(f) = 0 for f.
1
Suppose 18 = 4*b - 2. Factor 5*y**2 - 5*y**3 - b*y**4 + 8*y**2 + 5*y - 8*y**2.
-5*y*(y - 1)*(y + 1)**2
Let f(r) = 19*r**2 - 63*r - 385. Let v(l) = -11*l**2 + 32*l + 192. Let g(d) = 4*f(d) + 7*v(d). Factor g(a).
-(a + 14)**2
Let t(p) be the second derivative of -1/7*p**7 + 0*p**3 - 16*p + 0*p**2 + 0 - 3/10*p**6 + 0*p**5 + 1/4*p**4. Factor t(y).
-3*y**2*(y + 1)**2*(2*y - 1)
Let t be (-30)/4 + -113 + 122. Factor -t*v - 1/2*v**2 + 0.
-v*(v + 3)/2
Let p(a) be the third derivative of -a**7/735 + a**6/210 + a**5/210 - a**4/42 + 182*a**2. Factor p(c).
-2*c*(c - 2)*(c - 1)*(c + 1)/7
Let a(w) be the first derivative of 20*w**3/3 - 12*w**2 - 108*w - 442. Factor a(d).
4*(d - 3)*(5*d + 9)
Factor -2*m - 26 + m**4 + 2*m**3 - 4*m**2 + 0*m + 29.
(m - 1)**2*(m + 1)*(m + 3)
Determine a, given that 0 - 3/2*a**3 - 6*a**2 - 6*a = 0.
-2, 0
Let y(o) = -o**3 + o. Let b be (-9)/4*60/(-45). Let p(s) = -4*s**2 + 8*s**b + 10*s - 3*s**2 - 4*s**2 - 3*s**4 - 4*s**2. Let r(a) = -p(a) + 4*y(a). Factor r(z).
3*z*(z - 2)*(z - 1)**2
Let y = -5518/9 + 614. Let p(d) = -d**2 - 10*d + 56. Let q be p(-14). Suppose -y*u + 14/3*u**4 + 8/9*u**2 + 58/9*u**3 + q = 0. What is u?
-1, -2/3, 0, 2/7
Let g(w) be the second derivative of w**9/12096 + w**8/2240 - w**6/360 - 13*w**3/6 + 21*w. Let y(m) be the second derivative of g(m). Let y(l) = 0. Calculate l.
-2, 0, 1
Let l(a) be the third derivative of -1/28*a**4 - 1/420*a**5 + 0 - 5/42*a**3 - 14*a**2 + 0*a. Factor l(i).
-(i + 1)*(i + 5)/7
Let j(g) = 47*g - 373. Let a be j(8). Let q(f) be the first derivative of 5 - 2/21*f**a + 0*f + 2/7*f**2. Factor q(s).
-2*s*(s - 2)/7
Let j be ((-10)/24)/((-6 + 10)*(-20)/640). Determine n, given that 4/3*n + 8/3*n**3 - j*n**2 + 0 - 2/3*n**4 = 0.
0, 1, 2
Let z(d) = d**2 - 84*d - 405. Let m be (-4)/(16/(-28)) + -1. Let k(p) = 10*p**2 - 925*p - 4455. Let s(u) = m*k(u) - 65*z(u). Factor s(r).
-5*(r + 9)**2
Let m(k) be the first derivative of -3*k**4/14 + 34*k**3/21 + 8*k**2/7 - 24*k/7 - 92. Determine q so that m(q) = 0.
-1, 2/3, 6
Let s = -172 + 176. Let u be (s - 4) + 2 + (-20)/16. Solve -2 + 3*i + 1/2*i**2 - u*i**3 = 0 for i.
-2, 2/3, 2
Factor -18*k**3 + 175*k**2 + 100*k**3 - 31*k**2 + 16*k**4 - 27*k - 216 + k**5.
(k - 1)*(k + 3)**3*(k + 8)
Let i = 455 - 447. Let v(w) be the first derivative of -2/3*w**3 + 4/3*w**2 + i - 2/3*w. Factor v(z).
-2*(z - 1)*(3*z - 1)/3
Let h(k) be the first derivative of 3*k**4/8 + k**3 - 9*k**2/4 + 73. Factor h(m).
3*