 + 0*h + 1/540*h**6 - 17/108*h**4. Factor z(u).
2*(u - 9)*(u + 1)**2/9
Let y(q) = -18*q**2 + 1767*q - 182. Let h be y(98). Determine d so that -212*d**3 + 96/7 + 28*d**4 - h*d + 1976/7*d**2 = 0.
2/7, 1, 6
Let o(k) = -k**3 - 36*k**2 + 1197*k + 4. Let p be o(21). What is d in -2 + 19/4*d**p + 7/4*d**5 - 41/4*d**3 + 17/2*d - 11/4*d**2 = 0?
-4, -1, 2/7, 1
Let o = 214460 - 214450. Factor 36/5 - 6/5*n**2 - o*n.
-2*(n + 9)*(3*n - 2)/5
Let o(y) be the third derivative of 32 + 0*y - 2/45*y**5 + 0*y**3 - 1/72*y**6 + 1/18*y**4 - y**2. Determine c, given that o(c) = 0.
-2, 0, 2/5
Let n(t) = -8*t**2 + 52*t - 44. Let z(k) = 7*k**2 + 38*k + 12. Let y be z(-5). Let p(x) = -65*x**2 + 415*x - 350. Let m(q) = y*p(q) + 25*n(q). Factor m(j).
-5*(j - 10)*(j - 1)
Let a = -7434 - -7436. Let m(s) be the second derivative of 0 + 1/2*s**2 + 1/24*s**4 - a*s - 1/4*s**3. Suppose m(g) = 0. What is g?
1, 2
Let d(k) be the first derivative of k**3/5 + 2202*k**2/5 + 1616268*k/5 + 220. Factor d(v).
3*(v + 734)**2/5
Let x(t) be the second derivative of 2/3*t**3 + 0*t**2 + 1/5*t**6 + 13/20*t**5 - 8*t + 1/42*t**7 + 2 + t**4. Factor x(r).
r*(r + 1)**2*(r + 2)**2
Let l(o) be the second derivative of o**6/60 + o**5/10 + o**4/4 + o**3/3 + 28*o**2 + o - 24. Let j(m) be the first derivative of l(m). Factor j(r).
2*(r + 1)**3
Let j be (-13)/169*0 - 4184/(-2). Let z = 4193/2 - j. Let 1/2*g**2 + 4 + z*g = 0. Calculate g.
-8, -1
Suppose 3/7*s**3 - 12/7*s - 165/7*s**2 + 660/7 = 0. What is s?
-2, 2, 55
Let a(l) = l**3 - 16*l**2 - 17*l + 164. Let w be a(15). Let g = w + 316. Factor -3/4*y + 9/4*y**2 - 9/4*y**3 + 3/4*y**4 + g.
3*y*(y - 1)**3/4
Let a be (-392675)/(-76) + ((-3003)/1482)/77. Factor -249/2*m - a - 3/4*m**2.
-3*(m + 83)**2/4
Factor -776 + 6196/3*t - 938/3*t**2 - 5/3*t**3.
-(t - 6)*(t + 194)*(5*t - 2)/3
Suppose -28*d + 202 = 82*d - 238. Let q(a) be the first derivative of 1/45*a**5 + 23 - 1/27*a**3 + 0*a**d + 0*a**2 + 0*a. Factor q(c).
c**2*(c - 1)*(c + 1)/9
Let o = 415 + -415. Suppose -29 = -5*y + 3*l - 7, -4*y - 2*l = o. Find q, given that 3/2*q**y + 0*q - 3/2 = 0.
-1, 1
Let h(a) = -14*a**4 + 39*a**3 + 19*a**2 + 9*a + 7. Let z(o) = -o**4 - o**3 + 22*o**2 - o + 1. Let y(t) = -h(t) + 3*z(t). Factor y(f).
(f - 2)*(f - 1)**2*(11*f + 2)
Let d be 1/((-4)/(-14)) - (231/(-22))/(-7). Let g(k) be the first derivative of -4*k - 2/3*k**3 - 3*k**d + 16. Factor g(z).
-2*(z + 1)*(z + 2)
Let m(s) be the second derivative of s**7/84 + s**6/30 - 3*s**5/40 - s**4/3 - s**3/3 - 2*s - 1323. Factor m(j).
j*(j - 2)*(j + 1)**2*(j + 2)/2
Let k be ((-2)/5)/(2/(-7)). Suppose 4135*g + 3 = 3993*g + 3. Factor g - 18/5*s + k*s**3 + 61/5*s**2.
s*(s + 9)*(7*s - 2)/5
Let x(m) be the third derivative of 0*m**4 + 0*m + 1/5*m**6 + 0*m**5 + 1/56*m**8 + 13 + 11*m**2 + 0*m**3 - 37/105*m**7. Find o, given that x(o) = 0.
0, 1/3, 12
Let b(t) be the first derivative of 5*t**3/3 + 1975*t**2 + 780125*t - 1192. Suppose b(j) = 0. Calculate j.
-395
Determine m so that 472*m**2 + 54756 + 44845*m - 2*m**3 - 16531*m + 4*m**3 = 0.
-117, -2
Let q = -16903/11 - -1537. Let m = 129 - 127. Factor -2/11*j**m + 6/11*j - q.
-2*(j - 2)*(j - 1)/11
Let p be (-14490)/(-700)*(-56)/(-126). Solve -p*o**2 + 0 - 2*o**3 + 4*o = 0 for o.
-5, 0, 2/5
Let v(h) = -h**2 - 11915*h - 8868484. Let q(i) = -8*i**2 - 83404*i - 62079388. Let u(w) = -3*q(w) + 20*v(w). Find t, given that u(t) = 0.
-1489
Let g(f) be the third derivative of -f**6/360 - f**5/45 + 67*f**4/72 - 55*f**3/9 - 2*f**2 + 251*f. Factor g(y).
-(y - 5)*(y - 2)*(y + 11)/3
Suppose 3*q = -5*u - 29, 2*u - 2674 = -2*q - 2696. Factor 25/4 - 5/4*t**u - 5*t.
-5*(t - 1)*(t + 5)/4
Let t = 600827/105 - 28357/5. Let i = t + -152/3. Determine j, given that 0 - 2/21*j**2 - i*j = 0.
-1, 0
Factor 0 - 18/5*i**2 + 0*i + 3/5*i**3.
3*i**2*(i - 6)/5
Let y(b) = -b**4 + b**2 + 1. Let q(n) = -n**4 + 9*n**3 - 2*n**2 - 12*n - 2. Suppose -3*u - 19 = -25. Let h(o) = u*y(o) + q(o). Solve h(t) = 0.
-1, 0, 2
Suppose 17/2*f - 30 + 2*f**2 - 1/2*f**3 = 0. What is f?
-4, 3, 5
Let c(m) be the first derivative of m**4/5 - 64*m**3/3 - 1408*m**2/5 - 6252. Find q, given that c(q) = 0.
-8, 0, 88
Let o = -194 + 64. Let s = o + 132. Suppose -2/3*u**2 - 8/3*u - s = 0. Calculate u.
-3, -1
Let b = -41/192 - -2747/576. Factor -b*q**4 - 1121/9*q - 478/9*q**3 - 1/9*q**5 - 1198/9*q**2 - 361/9.
-(q + 1)**3*(q + 19)**2/9
Let q = 151488/385 - 8060/77. Suppose -114*d - 2/5*d**3 + q - 72/5*d**2 = 0. What is d?
-19, 2
Let y be (-2 + 2)*(34 + (-722)/76 + -24). What is u in 0 + 3/4*u**3 - u**2 + y*u + 1/4*u**4 = 0?
-4, 0, 1
Let x be 2/(-16) - (-166815)/(-264). Let i = -632 - x. Factor 1/2*j - 1/2*j**3 + i + 1/4*j**2 - 1/4*j**4.
-j*(j - 1)*(j + 1)*(j + 2)/4
Let i(k) be the third derivative of -k**5/240 + 5*k**4/2 - 119*k**3/6 - k**2 - 9*k. Factor i(o).
-(o - 238)*(o - 2)/4
Let t(y) be the second derivative of 1/15*y**3 + 1/10*y**4 - 1/50*y**5 - 3/5*y**2 + 2 + 38*y. Suppose t(k) = 0. Calculate k.
-1, 1, 3
Let h(p) be the first derivative of -39 + 7/4*p**3 + 3/4*p**2 + 27/16*p**4 + 1/8*p**6 + 3/4*p**5 + 0*p. Factor h(i).
3*i*(i + 1)**3*(i + 2)/4
Let n(q) be the second derivative of 9/26*q**4 + 2 + 9*q + 1/13*q**5 + 0*q**2 + 6/13*q**3 + 1/195*q**6. Factor n(g).
2*g*(g + 1)*(g + 3)*(g + 6)/13
Suppose -3*b + 18*r = 16*r - 18, b - 19 = 5*r. Suppose b - 22 = -5*i - 2*j, -3*i + 26 = 5*j. Factor 1/2*t**3 + 6*t - 3*t**i - 4.
(t - 2)**3/2
Let d(c) be the first derivative of -c**4/4 - 5*c**3 + 33*c**2/2 - 107*c + 79. Let f(k) be the first derivative of d(k). Factor f(u).
-3*(u - 1)*(u + 11)
Determine g, given that 0*g + 0 - 1/4*g**3 + 34*g**2 = 0.
0, 136
Let r(f) be the second derivative of -3*f**5/80 - 725*f**4/16 - 16471*f**3 - 98283*f**2/2 + 55*f + 6. Factor r(q).
-3*(q + 1)*(q + 362)**2/4
Let u(o) = -7*o**2 - 17376*o - 25160460. Let v(y) = -15*y**2 - 34752*y - 50320923. Let h(l) = 9*u(l) - 4*v(l). Factor h(m).
-3*(m + 2896)**2
Let u be 4 + 3 + (-297)/41. Let z = 214/205 + u. Let 29/5*h + 6/5 + 19/5*h**2 - z*h**3 = 0. What is h?
-1, -1/4, 6
Let a(w) = -6*w - 79. Let l be a(-14). What is f in 11 - 19*f - 5*f**2 - 6 - l*f**3 + 24*f = 0?
-1, 1
Suppose -144*q + 21*q - 140*q = -640 + 114. Solve 4/5 + 452/5*b**3 - 308/5*b**4 + 78/5*b**5 - 288/5*b**q + 62/5*b = 0 for b.
-2/39, 1
Let u(b) = -b**4 + 21*b**3 - 49*b**2 + 57*b - 28. Let l(m) = -m**4 + 20*m**3 - 49*m**2 + 57*m - 27. Let q(d) = -6*l(d) + 5*u(d). What is n in q(n) = 0?
1, 2, 11
Let q = -2161 - -4323/2. Let u(w) be the second derivative of 0 - 1/20*w**5 - q*w**3 - 1/4*w**4 - 1/2*w**2 - 15*w. Factor u(h).
-(h + 1)**3
Let w(t) be the second derivative of -t**6/35 + 11*t**5/14 - 152*t**4/21 + 572*t**3/21 - 320*t**2/7 - 1896*t. What is u in w(u) = 0?
1, 2, 16/3, 10
Let m(r) = -r + 10. Let a be m(7). Factor 8*n + 0*n**a + 0*n**2 - 2*n**3 - 6*n**2 + 2*n**2 + 16.
-2*(n - 2)*(n + 2)**2
Factor 4 + 28/17*b**2 + 2/17*b**3 - 98/17*b.
2*(b - 2)*(b - 1)*(b + 17)/17
Let i(g) be the second derivative of 22*g**7/21 - 654*g**6/5 + 178*g**5/5 + 3316*g. Factor i(p).
4*p**3*(p - 89)*(11*p - 2)
Let q(p) = -9*p**4 - 7*p**3 + 8*p**2 + 4*p + 20. Let w(k) = 20*k**4 + 16*k**3 - 15*k**2 - 16*k - 41. Let s(a) = -9*q(a) - 4*w(a). Factor s(b).
(b - 2)**2*(b - 1)*(b + 4)
Suppose 0 = -5*z - 15, -44*i + 2*z + 4 = -45*i. Let d be ((-1)/2)/(2/(-28)). Let -10*g**2 + 14*g**i - 300 + 60*g - d*g**2 = 0. What is g?
10
Let z(i) be the second derivative of i**6/15 + 17*i**5/10 + 31*i**4/2 + 69*i**3 + 162*i**2 + 2*i - 107. Let z(c) = 0. Calculate c.
-9, -3, -2
Let o(i) be the second derivative of -i**6/180 + i**5/10 - 7*i**4/18 - 16*i**2 + 302*i. Let y(r) be the first derivative of o(r). Factor y(d).
-2*d*(d - 7)*(d - 2)/3
Suppose -i + 3*i - 4*h = 104, -4*h = 4. Determine v so that -2*v**3 - 66*v**2 + 413*v + 5*v**3 - i*v = 0.
0, 11
Let c be 1080/105 - ((11 - 23) + 22). Determine w, given that 0 + 16/7*w + 12/7*w**2 + c*w**3 = 0.
-4, -2, 0
Let s(d) be the third derivative of d**5/60 - 25*d**4/4 + 423*d**3/2 + 227*d**2 - 17*d. Solve s(f) = 0.
9, 141
Suppose -2*a + 6 = g, -3*a = 2*g + 2*g - 9. Let u(b) be the first derivative of 3*b**2 + a*b**2 + 38 - 53 - 4*b**2 - b**4. Factor u(m).
-4*m*(m - 1)*(m + 1)
Let w(j) be the first derivative of j**6/48 - 3*j**5/10 + 35*j**4/32 - j**3 - 2038. Solve w(v) = 0 for v.
0, 1, 3, 8
Let r(v) = 25*v**2 + 303*v - 419. 