2)
Suppose -6 = -2*o - 2*w, 4*w - 5 - 7 = -5*o. Let a be 2/(2 - 4)*o. Determine p, given that a*p**2 - 2 + 5 - 7 + p**2 = 0.
-2, 2
Let a(o) be the second derivative of -o + 121/3*o**2 - 22/9*o**3 + 10 + 1/18*o**4. Factor a(y).
2*(y - 11)**2/3
Suppose 24*b = 11*b + 78. Let m(o) be the third derivative of 4*o**2 + 0*o**3 + 0 - 3/40*o**b + 0*o**4 + 0*o + 0*o**5 + 1/70*o**7. Factor m(s).
3*s**3*(s - 3)
Let n(t) be the third derivative of -t**6/120 - 23*t**5/420 - t**4/28 + 19*t**2 - 2. Factor n(x).
-x*(x + 3)*(7*x + 2)/7
Let z(c) be the third derivative of -c**10/50400 + c**9/6720 - c**8/3360 - 13*c**5/60 - 16*c**2. Let h(r) be the third derivative of z(r). Factor h(p).
-3*p**2*(p - 2)*(p - 1)
Let d = -12 + 11. Let y(j) = -j. Let k be y(d). Let x(r) = r + 1. Let o(n) = -n**2 - 3*n. Let i(z) = k*o(z) + 2*x(z). Solve i(l) = 0 for l.
-2, 1
Let w be -13*(0 - -1) - -3. Let h = w - -13. Factor 0 + 2*k**h + 5*k**2 + 0 - 4*k**2 + k**4.
k**2*(k + 1)**2
What is p in 2/7*p**2 + 2/7*p**3 - 2/7*p - 2/7 = 0?
-1, 1
Let z(v) = v**2 + 14*v + 3. Let q be z(-14). Suppose 0 = -2*n + 1 + q. Solve -4*a - n + 0*a**3 + 5*a**4 + 4*a**3 - 3*a**4 = 0.
-1, 1
Let a be 3 - 9*35/168. Let l(v) be the first derivative of 5 - 1/2*v**3 - 1/16*v**4 - a*v**2 - v. Factor l(b).
-(b + 1)**2*(b + 4)/4
Suppose 5*a = -5*f, 10*a + 2*f - 12 = 5*a. Let b be (20/25)/(a/(-10)) - -5. Factor -3/5*q**b - 3/5*q + 0 + 6/5*q**2.
-3*q*(q - 1)**2/5
Let n(p) = -p**2 - 6*p - 2. Suppose 10*q - 8*q = -10. Let i be n(q). Find u such that -8*u**3 - 3*u**2 + i*u + 9*u**3 - 2*u**2 + 9 = 0.
-1, 3
Let r(q) = 9*q - 178. Let m be r(20). Let j(i) be the third derivative of i**m + 0 + 0*i**3 + 0*i**5 + 0*i + 1/108*i**4 - 1/540*i**6. Factor j(l).
-2*l*(l - 1)*(l + 1)/9
Determine c, given that -392*c - 1/2*c**3 + 0 - 28*c**2 = 0.
-28, 0
Let b = 39 - 36. Suppose 226*f**3 - b - 2*f + 4*f**2 - 224*f**3 - 1 = 0. Calculate f.
-2, -1, 1
Let h(c) = -23*c + 115. Let q be h(5). Factor 0*p + 0*p**2 + 4/3*p**3 + 2/3*p**4 + q.
2*p**3*(p + 2)/3
Let w = 8663 + -77963/9. Factor 0*f + 0*f**3 + 0*f**2 - w*f**4 - 2/9*f**5 + 0.
-2*f**4*(f + 2)/9
Let c be (-4 - 27/(-6))*0. Suppose c = -3*o + 7 - 1. Find y such that 67*y**3 + 9*y + 5*y**o + y - 72*y**3 = 0.
-1, 0, 2
Let r(p) be the second derivative of -p**7/280 + 7*p**6/480 - p**5/48 + p**4/96 - 8*p**2 + 47*p. Let k(h) be the first derivative of r(h). Factor k(t).
-t*(t - 1)**2*(3*t - 1)/4
Solve -4 - 328*j + 541*j**2 + 202*j**2 + 34*j**2 - 105*j**2 = 0.
-1/84, 1/2
Factor 12 - 3*v**3 + 44*v**3 - 14*v + 2*v**2 - 11*v**3 - 30*v**2.
2*(v - 1)*(3*v + 2)*(5*v - 3)
Factor -52/5*b + 2/5*b**2 + 138/5.
2*(b - 23)*(b - 3)/5
Let g be (-42)/(-9)*(-17)/(-357). Factor 0*i - 16/9*i**4 + 10/9*i**5 + 4/9*i**2 + 0 + g*i**3.
2*i**2*(i - 1)**2*(5*i + 2)/9
Let j be (-4376)/60 - 3 - 4/10. Let w = j - -77. Determine z so that -2/3*z**2 + 0 + w*z**3 + 0*z = 0.
0, 1
Let k(q) be the first derivative of q**8/840 + q**7/84 + 7*q**6/180 + q**5/20 + 7*q**3/3 - 1. Let o(w) be the third derivative of k(w). Factor o(x).
2*x*(x + 1)**2*(x + 3)
Let m(f) be the second derivative of -f**5/60 - f**4/18 + 7*f**3/18 - 2*f**2/3 + 130*f. Solve m(v) = 0.
-4, 1
Determine o, given that -2409*o**2 + 496*o**3 - 912*o - 84 + 400*o**3 - 533*o**3 = 0.
-2/11, 7
Let r(l) be the third derivative of -l**8/6720 + l**7/840 - l**6/240 + l**5/120 + 5*l**4/12 + 33*l**2. Let t(y) be the second derivative of r(y). Factor t(c).
-(c - 1)**3
Factor -5*m**4 - 68*m**2 + 19*m - m**4 + 49*m + 2*m**4 - 24 + 28*m**3.
-4*(m - 3)*(m - 2)*(m - 1)**2
Let v(w) be the third derivative of 42*w**2 + 1/3*w**5 - 13/6*w**4 + 0*w + 0 + 14/3*w**3 + 1/30*w**6. Suppose v(d) = 0. What is d?
-7, 1
Let c be (10/(-36) - 50/225)/((-49)/1120). Factor -c*l - 24/7 + 2*l**2.
2*(l - 6)*(7*l + 2)/7
Let n(s) be the third derivative of -1/540*s**6 - 2/135*s**5 + 0*s**4 + 11*s**2 + 0 + 0*s**3 + 0*s. Solve n(u) = 0.
-4, 0
Let o be 11 - 10/((-260)/(-247)). Factor -3/2*d**4 + 0 + 3/2*d**3 + 3/2*d**2 - o*d.
-3*d*(d - 1)**2*(d + 1)/2
Let f(n) be the first derivative of -3*n**4/4 + 11*n**3 - 27*n**2 + 52. Find o such that f(o) = 0.
0, 2, 9
Suppose -g + 2 = -1. Factor 11 - 27 + 16 + 3*p**2 + g*p**4 + 6*p**3.
3*p**2*(p + 1)**2
Suppose 5*r = 5*p + 88 - 93, 3*p + 2*r - 13 = 0. Find m such that 0 - 1/3*m - 1/9*m**p - 4/9*m**2 = 0.
-3, -1, 0
Let w(b) be the first derivative of b**5/20 + b**4 + 16*b**3/3 + 135. Find l such that w(l) = 0.
-8, 0
Let l be (15/(-9))/(980/(-392)). Determine v so that -l*v**3 + 0 + 0*v + 16/3*v**2 = 0.
0, 8
Let t(u) be the second derivative of -8/75*u**6 + 1/3*u**4 - 2/5*u**2 + 2/5*u**3 - 3/25*u**5 + 0 - 13*u. Suppose t(j) = 0. Calculate j.
-1, 1/4, 1
Suppose 6/5*h + 7/5 - 1/5*h**2 = 0. What is h?
-1, 7
Let h be -2 + -3 - (-18684)/(-112). Let g = h + 701/4. Factor 32/7 + 4/7*b**3 + 48/7*b + g*b**2.
4*(b + 2)**3/7
Let w be (2 + 85/(-6))*2. Let z = -24 - w. Factor 1/3*s**4 + 2/3 - s**2 - z*s + 1/3*s**3.
(s - 1)**2*(s + 1)*(s + 2)/3
Let h = -12 - -13. Let l be 5 + 1 + -2 + h. Factor -2 - 1 + 15 - 2*s**3 - 9*s**2 + l*s**3.
3*(s - 2)**2*(s + 1)
Let p = 310 + -310. Let r(d) be the first derivative of p*d + 5 - 1/9*d**3 - 1/6*d**2. Find f, given that r(f) = 0.
-1, 0
Let x(a) = -a**3 - 4*a**2 - 3*a - 5. Let g be x(-4). Solve g*j + 4*j**3 - 5*j**2 + 0*j - 7*j**2 + j = 0.
0, 1, 2
Factor -4*l**2 + 4*l**2 + 855 - 867 - l**2 + 13*l.
-(l - 12)*(l - 1)
Factor -70 + 14*t**3 - 3*t**4 - 108*t**2 + 162*t + 16*t**3 - 11.
-3*(t - 3)**3*(t - 1)
Let o(g) be the second derivative of 0 - 1/6*g**3 + 0*g**2 + 1/72*g**4 + 13*g. Factor o(i).
i*(i - 6)/6
Let t(u) be the second derivative of -u**7/168 - u**6/60 + u**5/40 + u**4/6 + 7*u**3/24 + u**2/4 + 73*u + 1. Determine h, given that t(h) = 0.
-1, 2
Suppose -2/5*f**2 + 0*f - 2/5*f**3 + 0 + 2/5*f**5 + 2/5*f**4 = 0. Calculate f.
-1, 0, 1
Let x(t) = 3*t**3 + 4*t. Let u be x(2). Let b = u + -30. Factor -b*r**2 + 5*r - 3*r + 4*r**2 - 4*r**2.
-2*r*(r - 1)
Let p(b) = b**4 + b**2 - 3 + 5*b**4 + 2*b**3 - 7*b**4 - 5*b. Let n = 23 - 19. Let x(v) = 2*v**3 - 4*v - 2. Let s(t) = n*p(t) - 6*x(t). Factor s(z).
-4*z*(z - 1)*(z + 1)**2
Let y be 2/(-35) + (-11)/(539/(-42)). Factor 16/5*j - y*j**2 - 12/5.
-4*(j - 3)*(j - 1)/5
Let q(y) be the first derivative of 4*y**3/21 - 88*y**2/7 - 85. Factor q(d).
4*d*(d - 44)/7
Let i be (-88)/16 + 1/2. Let a be 4*12/16 + (-17)/i. Determine v so that -a - 2/5*v**2 + 16/5*v = 0.
4
Determine y, given that -8*y - 8*y + 130*y**2 + 12 - 126*y**2 = 0.
1, 3
Let t be 34/85*(-10)/(-2). Let x(j) be the second derivative of 3/25*j**5 + 1/20*j**4 + t*j + 0*j**2 - 1/15*j**3 + 7/150*j**6 + 0. Factor x(d).
d*(d + 1)**2*(7*d - 2)/5
Suppose 0 = 5*a, -3*a + 1 - 39 = v. Let m be v/(-6) - 12/(-18). What is u in -4 + m*u - 4*u**4 - 14*u**3 + 8*u**2 - 3*u + 6*u**3 + 3*u**5 + u**5 = 0?
-1, 1
Let a(z) be the first derivative of -z**3/5 + z**2/10 + 4*z/5 + 51. Factor a(r).
-(r + 1)*(3*r - 4)/5
Factor 7*i**3 + 12*i - 7*i**3 + 6*i**3 - 21*i**2 + 3*i**4.
3*i*(i - 1)**2*(i + 4)
Let r be (-28)/98*(1 + 18/(-3)). Let 0 + 2/7*c**3 + r*c**2 + 12/7*c = 0. Calculate c.
-3, -2, 0
Suppose 10*f = 289 - 199. Let a(u) be the first derivative of -49/12*u**4 + f + 8/3*u - 10*u**2 + 14*u**3. Factor a(g).
-(g - 2)*(7*g - 2)**2/3
Let g(c) = -101*c**4 - 36*c + 2*c**2 - 22*c**2 - 8 + 97*c**4 + 4*c**3. Let i(f) = f**4 + f**3 + f**2 + f. Let s(l) = g(l) + 16*i(l). Factor s(z).
4*(z - 1)*(z + 1)**2*(3*z + 2)
Let w = 73433/33 - 2225. Let i(k) be the first derivative of -2 - 4/11*k + 5/11*k**2 - w*k**3 + 1/22*k**4. Solve i(x) = 0.
1, 2
Let a be 8/10*(-20)/(-960)*200. Let b(d) be the second derivative of a*d**4 + 0 + 5/4*d**5 + 10/3*d**3 - 3*d + 0*d**2 + 1/6*d**6. Factor b(q).
5*q*(q + 1)*(q + 2)**2
Suppose -7*p + 2*p = -70. Let l be (-2)/(-14) + 40/p. Factor 3 - 3 + 4*j**l + 4*j**4.
4*j**3*(j + 1)
Factor -38/5*j**2 + 2/5*j**3 - 162/5 + 198/5*j.
2*(j - 9)**2*(j - 1)/5
Let p be (-28)/(-35)*4/8. Let u(w) be the second derivative of -p*w**3 - 3/20*w**5 + 4*w + 0 - 1/50*w**6 - 2/5*w**4 + 0*w**2. Determine v so that u(v) = 0.
-2, -1, 0
Let m(y) be the first derivative of 7*y**6/135 - y**5/3 + 29*y**4/54 - 2*y**3/9 + 31*y - 37. Let u(n) be the first derivative of m(n). Solve u(f) = 0 for f.
0, 2/7, 1, 3
Let r(g) = -2*g**4 + 18*g**3 - 3*g**2 - 23*g + 5. Let u(b) = 18*b**3 + 6 - 24*b - 3