16). Let j = 9 - 5. Factor 0 + 3/2*u**2 - 3/2*u**i + 0*u + 3/2*u**3 - 3/2*u**j.
-3*u**2*(u - 1)*(u + 1)**2/2
Let i = 5095/2 - 2470. Let g(y) be the second derivative of -21/20*y**5 - i*y**3 - 75*y**2 + 6*y + 0 + 17*y**4. Find u such that g(u) = 0.
-2/7, 5
Let j(u) = -289*u - 4589. Let q be j(-16). Let t(s) be the third derivative of -s**2 - 1/4*s**3 + 7/48*s**4 + 1/240*s**6 + 0 + q*s - 1/24*s**5. Factor t(x).
(x - 3)*(x - 1)**2/2
Let p be 34/(-68)*((-539)/98 - (-1 - 2)). Suppose 3*c = -2*j + 9, 2*c + 2 = 2*j - 2. Solve -5*n**5 - 15/4*n**4 + p*n**j + 0*n**2 + 0*n + 0 = 0 for n.
-1, 0, 1/4
Let h(n) be the third derivative of -n**6/120 - n**5/60 - n**3/6 - 3*n**2 - 3*n. Let j(b) = b**3 - 24*b**2 + 25*b - 14. Let m(l) = 4*h(l) - j(l). Factor m(a).
-5*(a - 2)*(a - 1)**2
Let z be 8/12*(-6957)/(-6). Suppose 2*q**2 + z - 773 - 2*q**4 - 4*q**3 + 4*q = 0. Calculate q.
-2, -1, 0, 1
Factor -50 + 3*z**3 - 6*z**3 + 321*z**2 - 477*z - 207*z**2 - 544.
-3*(z - 33)*(z - 6)*(z + 1)
Let y(b) = 2*b**4 - 7*b**3 + 2*b**2 + b. Let t(d) = 55*d**4 - 15827*d**3 + 1279155*d**2 - 727073*d + 103684. Let q(w) = -t(w) + 3*y(w). Factor q(g).
-(g - 161)**2*(7*g - 2)**2
Let l be 461/9 - 2/9*1. Let c be ((-3)/2)/(0 - l/4). Determine d so that c*d**2 - 8/17*d + 6/17 = 0.
1, 3
Suppose 5*l + 5*j = 25 + 5, j = l. Factor 15 + 3*z**4 + 42*z + 68*z**2 + 6*z**3 - l*z**4 - 3*z**4 - 32*z**2.
-3*(z - 5)*(z + 1)**3
Let s(a) = 4*a**3 + 1132*a**2 + 5120*a + 5064. Let c(m) = -4*m**2 - 1. Let r(j) = -40*c(j) + s(j). Factor r(q).
4*(q + 2)**2*(q + 319)
Let i = -3368 + 3371. Let o(q) be the third derivative of 0 + 2/75*q**5 - 1/50*q**6 + 2/5*q**4 - 16/15*q**i + 0*q - q**2. Factor o(g).
-4*(g - 2)*(g + 2)*(3*g - 2)/5
Suppose 4*g = 3*q - 0*g + 5, 0 = 5*q + 3*g - 40. Let m(z) = 15*z - 73. Let j be m(q). Factor 0*i**4 + 2*i**5 + i**4 - 3*i**j - i**5 + 2*i**2 - i**3.
i**2*(i - 1)*(i + 1)**2
Let c(i) be the third derivative of 2*i**7/105 - 2*i**6/5 + 43*i**5/15 - 10*i**4 + 56*i**3/3 - 3*i**2 - 206*i. Factor c(j).
4*(j - 7)*(j - 2)**2*(j - 1)
Let r(k) = -20*k**4 + 81*k**3 - 30*k**2 - 12*k - 7. Let l(b) = -14*b**4 + 59*b**3 - 20*b**2 - 8*b - 5. Let w(t) = 7*l(t) - 5*r(t). Solve w(n) = 0 for n.
-2, -1, 0
Let v(x) be the third derivative of -2*x**7/35 - 1099*x**6/30 - 851*x**5/5 - 607*x**4/2 - 728*x**3/3 + 3*x**2 - 150*x - 2. Solve v(z) = 0.
-364, -1, -1/3
Let b be ((-18)/(-1))/((-6228)/(-1384)). Solve 2/3 - 1/9*c - 7/9*c**2 + 1/9*c**b + 1/9*c**3 = 0 for c.
-3, -1, 1, 2
Find c such that 1756/9*c**2 - 48*c**3 + 152*c - 800/9 - 20/9*c**4 = 0.
-25, -1, 2/5, 4
Let c(t) be the third derivative of t**8/252 - 19*t**7/210 + 151*t**6/180 - 178*t**5/45 + 28*t**4/3 - 64*t**3/9 + 6330*t**2. Factor c(r).
(r - 4)**3*(r - 2)*(4*r - 1)/3
Let y(i) be the second derivative of -i**6/60 - 81*i**5/40 - 39*i**4/4 + 33*i - 7. Solve y(s) = 0 for s.
-78, -3, 0
Suppose 114 = -5*d + 174. Factor 9 - h**3 + 3*h**4 - 427*h + 433*h - d*h**2 - 5*h**3.
3*(h - 3)*(h - 1)*(h + 1)**2
Suppose -3*w = -65 - 16. Let g(s) = w + 444*s**2 - 442*s**2 + 7*s + 14*s. Let m(u) = u**2 + 10*u + 13. Let o(c) = -6*g(c) + 14*m(c). Solve o(l) = 0 for l.
-5, -2
Let j(k) = -k**3 + 16*k**2 + 141*k - 195. Let l be j(22). Let y(n) be the first derivative of 0*n - 4/7*n**l + 0*n**2 + 2 + 1/14*n**4. Factor y(c).
2*c**2*(c - 6)/7
Suppose 400 - 5*h**2 + h**2 - 25404*h + 26202*h = 0. What is h?
-1/2, 200
Find x, given that 9*x**2 + 560*x - 74590 - 4*x**2 + 75145 = 0.
-111, -1
Let d(t) = 7*t**2 + t - 5. Suppose -38 = -9*n + 466. Let s = 70 - n. Let f(i) = 20*i**2 + 4*i - 14. Let c(b) = s*d(b) - 5*f(b). Factor c(o).
-2*o*(o + 3)
Let r = 20872 + -20869. Let h(u) be the second derivative of 0*u**2 - 9/5*u**5 + 0 + 8*u**4 + 2/15*u**6 - 8*u - 40/3*u**r. Factor h(g).
4*g*(g - 5)*(g - 2)**2
Find m such that 1/2*m**5 + 83/2*m**3 + 213/2*m**2 + 126*m + 15/2*m**4 + 54 = 0.
-6, -3, -2, -1
Let y(r) = r + 30*r**3 + 10*r**5 - 20*r**2 + 34*r**4 + 11*r**2 - 3*r**2 - 6*r**3. Let l(z) = -z**5 - z**4 - z. Let n(q) = -l(q) - y(q). Factor n(w).
-3*w**2*(w + 2)**2*(3*w - 1)
Let a(q) = 2 - 2*q**2 - 3*q**3 - 9*q - 3*q**4 - q**2 + 8*q + 0*q**4. Let k(t) = -t**4 - t**3. Let f(y) = 5*a(y) - 20*k(y). Factor f(x).
5*(x - 1)**2*(x + 1)*(x + 2)
Let d(f) be the second derivative of -f**5/270 - f**4/36 + 4*f**3/27 - 77*f**2/2 - 69*f. Let s(o) be the first derivative of d(o). Let s(h) = 0. What is h?
-4, 1
Suppose 2*u - 47 = 3*h, 5*u + 2*h = -3*h + 155. Let c = 36 - u. What is z in -z**3 - 5*z**3 - 8*z**3 + 74*z**2 - 12*z - c*z = 0?
0, 2/7, 5
Let u(b) be the third derivative of -b**5/12 - 55*b**4/6 + 230*b**3/3 - 18*b**2 - 10*b. Find v, given that u(v) = 0.
-46, 2
Let r = -6445048/5 + 1289010. Factor -6/5*z + 0 - r*z**2.
-2*z*(z + 3)/5
Let j(x) be the second derivative of -16*x + 0*x**3 + 0*x**2 + 1 - 1/120*x**6 + 1/12*x**4 + 0*x**5. Let j(u) = 0. Calculate u.
-2, 0, 2
Let t(l) be the third derivative of -l**5/100 - l**4/10 + 21*l**3/10 - 6*l**2 + 20*l. Find p such that t(p) = 0.
-7, 3
Let c = 35 - 662. Let s be 9/c - (-54)/513. Factor s*y + 1/11*y**2 + 0.
y*(y + 1)/11
Let s(d) = d**3 - 18*d**2 + 30*d + 35. Let a be s(16). Suppose -3*r**a + r**3 - 6 + 2*r**3 + 2*r**3 - 4*r**4 + 4*r**2 + 6*r**2 - 2*r = 0. What is r?
-1, 1, 3/2
Let c(j) be the third derivative of -26*j**2 + 0*j + 1/144*j**6 + 0 - 1/360*j**5 - 1/420*j**7 - 1/144*j**4 + 0*j**3. Factor c(y).
-y*(y - 1)**2*(3*y + 1)/6
Find y such that 388/9*y**2 - 176/3 - 2/3*y**3 + 536/9*y = 0.
-2, 2/3, 66
Let g = -570 + 573. Factor -40*l**2 - 80 + 100*l - 313*l**3 - 320*l**3 + 638*l**g.
5*(l - 4)*(l - 2)**2
Factor -489*l**2 - 68*l - 44 + 73*l + 458*l**2 + 5*l**3 + 59*l.
(l - 2)**2*(5*l - 11)
Let f(a) = -21*a**2 + 9271*a - 2144361. Let r(x) = -4*x**2 + 1854*x - 428860. Let b(z) = -2*f(z) + 11*r(z). Determine l, given that b(l) = 0.
463
Let g(w) = 5*w**3 - 706*w**2 - 125312*w - 247811. Let h(i) = 8*i**3 - 1412*i**2 - 250624*i - 495621. Let m(n) = 5*g(n) - 3*h(n). What is v in m(v) = 0?
-352, -2
Let o = 2173 + -539. Let m = -11434/7 + o. Solve 2/7*g**4 + 2/7*g**3 + 0 - m*g**2 + 0*g = 0.
-2, 0, 1
Let a = -33 + 34. Let t be (a + 2)/(12/(-8) - -3). Solve 3*o**3 + 4*o**t + 2*o + 3 + 1 - 7*o - 6 = 0 for o.
-2, -1/3, 1
Let v(n) be the second derivative of -5*n**7/42 - 5*n**6/2 + 167*n**5/4 - 635*n**4/4 + 575*n**3/3 + 2*n - 605. Solve v(f) = 0 for f.
-23, 0, 1, 2, 5
Suppose 4*z - 244 = -224. Suppose 5*x - 4*x + z*l - 35 = 0, -4*x - 2*l + 158 = 0. Let -x*d - 2 + 22*d + 21*d - d**3 = 0. What is d?
-2, 1
Let u(c) be the first derivative of -3*c**4 + 28*c**3/3 + 36*c**2 + 32*c - 287. Solve u(q) = 0 for q.
-1, -2/3, 4
Let x be 2/(-11) - 436220/(-748). Let o = -581 + x. Determine s, given that -18/7*s**3 + 0 + 3/7*s**5 + 24/7*s**o - 9/7*s + 0*s**4 = 0.
-3, 0, 1
Let y(q) be the second derivative of q**2/2 + q. Suppose -329 - 61 = -65*b. Let t(i) = -i**2 - i + 4. Let r(f) = b*y(f) - 3*t(f). Let r(s) = 0. What is s?
-2, 1
Let o(c) = -11*c**2 - 43*c - 124. Let x(z) = -9*z**2 - 42*z - 123. Let n(t) = 3*o(t) - 4*x(t). Find a, given that n(a) = 0.
-8, -5
Let w(b) be the second derivative of -b**4/12 - 65*b**3/3 + 959*b**2/2 - 3*b - 874. Let w(d) = 0. What is d?
-137, 7
Let g(z) be the second derivative of -z**7/3360 + z**6/240 - 3*z**5/160 - z**4/6 - 137*z**2/2 + 3*z + 32. Let u(n) be the third derivative of g(n). Factor u(i).
-3*(i - 3)*(i - 1)/4
Suppose 11*m = 8*m - 19*m. Let s be (m - 0)*38/(-76). Let -2/5*n**3 - 6/5*n**2 + s - 4/5*n = 0. Calculate n.
-2, -1, 0
Factor 0 - 3/2*i**2 + 0*i + 1/8*i**5 - 3/8*i**4 - 2*i**3.
i**2*(i - 6)*(i + 1)*(i + 2)/8
Let c(m) = -2*m**4 - m**3 - m**2. Let z(p) = -115*p**4 + 455*p**3 + 980*p**2 + 520*p. Let x(i) = 55*c(i) - z(i). Factor x(j).
5*j*(j - 104)*(j + 1)**2
What is o in 184 - o - 184*o**2 - 2074*o**3 + 5*o + 2070*o**3 = 0?
-46, -1, 1
Let s(j) = 2829*j - 65065. Let u be s(23). Determine c so that -2/7*c**4 + 0 + 0*c - 6/7*c**u - 8/7*c**3 = 0.
-3, -1, 0
Let i(b) be the second derivative of 5/3*b**2 - 1/6*b**3 - 1/36*b**4 + 31*b + 2. Determine l, given that i(l) = 0.
-5, 2
Let w(j) = -2*j**2 + 123*j + 256. Let g be w(-2). Solve -625/8 - 1/8*z**g + 25/4*z = 0.
25
Let m = 9433 + -9433. Let w(c) be the second derivative of -1/20*c**5 + 1/12*c**4 + 1/6*c**3 - 1/2*c**2 - 23*c + m. Factor w(o).
-(o - 1)**2*(o + 1)
Let a(h) be the second deri