 - h**2 + 680 + 34*h**2 - 28*h. Let n(w) = 72*w**2 - 619*w + 1362. Let t(c) = -5*i(c) + 2*n(c). Factor t(l).
-4*(3*l - 13)**2
Let x = -159 - -164. Factor 4*p**5 - 12*p**3 + 8*p**4 + 0*p**x + 16*p + 0*p**5 - 16*p**2.
4*p*(p - 1)**2*(p + 2)**2
Let f = 233 - 38. Suppose f*a = 200*a - 20. Factor -463*k**3 + k**4 + k**a + k**5 + 464*k**3.
k**3*(k + 1)**2
Factor 9927968/17 + 2/17*q**2 - 8912/17*q.
2*(q - 2228)**2/17
Let w be (-6)/(-4)*15/90. Let d(f) = 34*f - 133. Let h be d(4). Determine y, given that w*y + 0 - 1/2*y**2 + 1/4*y**h = 0.
0, 1
Let r(s) = 6*s**2 + s - 210. Let m be r(-6). Let l(k) be the first derivative of 0*k**2 + m*k**3 + 4/5*k**5 - 27 - 3*k**4 + 0*k. Factor l(d).
4*d**3*(d - 3)
Let w(a) be the first derivative of a**4/54 + 10*a**3/27 + 8*a**2/3 + 98*a + 14. Let q(y) be the first derivative of w(y). Factor q(m).
2*(m + 4)*(m + 6)/9
Let l be 8/100*65 + 1*1/(-5). Let i(s) be the first derivative of -s**l + 5/8*s**2 + 18 - 5/3*s**3 + 5/24*s**6 + 0*s + 15/8*s**4. What is w in i(w) = 0?
0, 1
Let k(j) be the first derivative of -20 - 35*j + 7/15*j**3 + 0*j**2 - 1/30*j**4. Let v(l) be the first derivative of k(l). Suppose v(r) = 0. Calculate r.
0, 7
Let 0 - 213/2*v**4 + 0*v - 75*v**3 - 6*v**5 + 51/2*v**2 = 0. What is v?
-17, -1, 0, 1/4
Let w(i) be the second derivative of -i**6/30 + 643*i**5/15 - 825611*i**4/54 - 183898*i**3/9 - 20449*i**2/2 - 1122*i. Suppose w(r) = 0. Calculate r.
-1/3, 429
Let w(y) be the second derivative of -y**7/5880 - y**6/630 - y**5/210 + 241*y**3/6 - 77*y - 2. Let p(q) be the second derivative of w(q). Factor p(k).
-k*(k + 2)**2/7
Factor -1/2*l**4 + 19/2*l**3 + 0 - 49*l**2 + 40*l.
-l*(l - 10)*(l - 8)*(l - 1)/2
Factor -7*j**4 - 954 + 237*j**3 + 546 + 620*j + 2*j**4 + 906*j**2.
-(j - 51)*(j + 2)**2*(5*j - 2)
Suppose 5310 = 90*y + 205*y. Factor -108 - 3/4*j**2 - y*j.
-3*(j + 12)**2/4
Factor -568/17*q**2 + 8/17 - 2270/17*q.
-2*(q + 4)*(284*q - 1)/17
Let u(w) be the first derivative of -w**6/60 - 7*w**5/5 - 147*w**4/4 + w**2/2 + 11*w + 109. Let p(q) be the second derivative of u(q). Factor p(s).
-2*s*(s + 21)**2
Let w(p) = -3*p**2 + 3*p - 3. Let j(s) = 64*s**3 + 115*s**2 - 413*s + 243. Let h(q) = 2*j(q) + 6*w(q). Factor h(r).
4*(r - 1)**2*(32*r + 117)
Let j = 1300 - 1297. Let m(i) be the first derivative of 1/3*i**6 - i**2 - 4/5*i**5 - 1 + 0*i + 0*i**4 + 4/3*i**j. Find k such that m(k) = 0.
-1, 0, 1
Let p(q) be the second derivative of -q**4/6 - 8*q**3 + 81*q**2 + 2314*q + 2. Determine m so that p(m) = 0.
-27, 3
Let r(c) be the first derivative of c**5/20 - 5*c**4/12 + 4*c**3/3 - 2*c**2 - 78*c + 24. Let x(y) be the first derivative of r(y). Factor x(u).
(u - 2)**2*(u - 1)
Let x(p) be the second derivative of 137*p - 1/27*p**4 - 11/27*p**3 + 0 - 5/3*p**2. Suppose x(h) = 0. Calculate h.
-3, -5/2
Factor 58742*v**3 + 60530*v - 58740*v**3 + 69470*v - 1030*v**2 + 557532 + 118468.
2*(v - 260)**2*(v + 5)
Suppose 12 = 4*m, -2*q + 3*m = 6 - 1. Factor q + 17 - 1 - 4*y**2 - 2.
-4*(y - 2)*(y + 2)
Let n(m) = -4*m**3 + 232*m**2 - 2468*m + 58. Let v be n(14). Let o**3 - o - 5/6 + 5/6*o**v = 0. Calculate o.
-1, -5/6, 1
Let u(r) = r + 6. Let p be u(-8). Let a be (p + -1)*8/(-8). Determine o so that 0 - 4 - a*o - 2 + o**2 + 8 = 0.
1, 2
Let g(p) be the first derivative of -p**7/1680 - p**6/80 - p**5/30 + 32*p**3 + 43. Let w(u) be the third derivative of g(u). Find k, given that w(k) = 0.
-8, -1, 0
Let r(h) = 623*h + 25555. Let d be r(-41). Solve 0 + 3/2*n**4 - d*n**2 + 0*n + 21/2*n**3 = 0 for n.
-8, 0, 1
Let h be 49/16464*-32 - (-76)/210. Let r(v) be the second derivative of 1/21*v**7 - 4/3*v**3 + 1/10*v**5 + h*v**6 - 5/3*v**4 + 2*v + 0 + 8*v**2. Factor r(p).
2*(p - 1)**2*(p + 2)**3
Suppose 24 = -3*m + 3. Let p = m + 17. Solve 6*c**2 - 16*c**2 + 5*c**3 + 4 - 14 + 25*c - p*c**2 = 0 for c.
1, 2
Let j(d) be the first derivative of d**6/24 + 5*d**5/12 + d**2 - 75*d - 118. Let f(b) be the second derivative of j(b). Suppose f(u) = 0. Calculate u.
-5, 0
Let t be 3/10*-3*-2 - 8802/(-7335). Factor -10/7*f + 2/7*f**2 + 10/7*f**t - 2/7*f**4 + 0.
-2*f*(f - 5)*(f - 1)*(f + 1)/7
Find j, given that 408*j**3 + 135*j**4 + 273*j**2 - 12 - 42*j + 11*j + 5*j + 11*j + 3*j = 0.
-2, -1, -2/9, 1/5
Let h(r) be the third derivative of -r**5/150 - 19*r**4/12 - 364*r**3/15 - 2039*r**2. Determine z so that h(z) = 0.
-91, -4
Factor 6/5*c**2 - 2/5*c**4 - 8/5 - 8/5*c + 4/5*c**3.
-2*(c - 2)**2*(c + 1)**2/5
Let z(d) = d - 22. Let g be z(11). Let t be (-1)/(-2 + g/(-5)). Let a(u) = -u**2 - 6*u - 5. Let j(n) = -n**2 - 7*n - 6. Let h(v) = t*a(v) + 4*j(v). Factor h(s).
(s + 1)**2
Let z = -106 - -150. Let j be 72/(-10)*(209/z)/(-19). Determine a, given that j*a**2 + 3/5*a**3 + 9/5*a + 3/5 = 0.
-1
Factor -12/13*v + 2/13*v**2 - 32/13.
2*(v - 8)*(v + 2)/13
Factor 1788/7*w**2 - 4/7*w**3 - 28416*w - 28672.
-4*(w - 224)**2*(w + 1)/7
Let k(j) be the second derivative of 16 - 2/27*j**3 + 0*j**2 + 1/18*j**4 + 3*j + 2/15*j**5 + 7/135*j**6. Factor k(w).
2*w*(w + 1)**2*(7*w - 2)/9
Let c be 24/(-48) + (-26)/(-42). Let l(h) be the second derivative of 0 + 5/2*h**2 + 5/6*h**3 - 20*h - 1/2*h**5 - 5/6*h**4 + c*h**7 + 1/6*h**6. Factor l(m).
5*(m - 1)**2*(m + 1)**3
Solve -u**5 - 94*u**4 - 30*u + 13*u**2 + 31*u**3 + 124*u**4 - 43*u**4 = 0 for u.
-15, -1, 0, 1, 2
Let v(s) be the first derivative of -16 - 31*s**2 + 10/3*s**3 + 12*s. Factor v(u).
2*(u - 6)*(5*u - 1)
Let c(r) be the third derivative of r**7/1050 - 3*r**6/25 + 17*r**5/6 + 738*r**4/5 - 18491*r**3/30 - 10*r**2 - 117*r. Factor c(g).
(g - 41)**2*(g - 1)*(g + 11)/5
Solve 40*t + 35*t**4 - 65*t**3 + 11*t**5 + 20*t**5 + 5*t**5 - 11*t**5 + 530*t**2 + 20 - 585*t**2 = 0 for t.
-2, -1, -2/5, 1
Let y = 1 + 2. What is b in 23*b**y - 144*b**2 - 68*b**3 - 39*b**2 + 0*b**4 + 294 - 63*b - 3*b**4 = 0?
-7, -2, 1
Let g(m) be the third derivative of 19/180*m**6 + 0*m + 2*m**2 + 10/9*m**3 - 23/60*m**5 + 30 + 2/9*m**4 - 1/126*m**7. Let g(r) = 0. Calculate r.
-2/5, 1, 2, 5
Let s = -4281 - -4284. Let w(y) be the first derivative of 1/3*y**s + 2*y - 8 + 3/2*y**2. Factor w(b).
(b + 1)*(b + 2)
Determine w so that -737*w + 436 + 300 + 1228*w**2 - 1227*w**2 = 0.
1, 736
Factor -39644 - 3*b**2 - 5008 + 262*b - 994*b.
-3*(b + 122)**2
Let b(w) be the third derivative of -1/28*w**8 - 4*w**2 - 12*w**3 - 41/15*w**6 - 52/105*w**7 + 0 - 116/15*w**5 - 25/2*w**4 + 6*w. Let b(t) = 0. What is t?
-3, -1, -2/3
Let 8 + 2/7*n**3 + 114/7*n + 60/7*n**2 = 0. Calculate n.
-28, -1
Find y such that -924500 + 3039*y**2 + 528242*y + 5*y**3 + 391958*y + 1256*y**2 = 0.
-430, 1
Let a be 11 + (-8*30/1440)/((-2)/(-132)). Find x, given that 8/7*x**2 - 6/7*x**3 - 4/7*x**4 + 2/7*x**5 + a + 8/7*x = 0.
-1, 0, 2
Suppose -3*v + 4*p = -313 + 320, v - 5*p + 17 = 0. Determine i, given that -2000/11 - 600/11*i - 2/11*i**v - 60/11*i**2 = 0.
-10
Let m(u) = -2*u**3 - 147*u**2 + 124*u + 5. Let x(a) = a**3 + 144*a**2 - 125*a - 4. Let t(l) = -4*m(l) - 5*x(l). Factor t(b).
3*b*(b - 43)*(b - 1)
Let o = 878627 - 878624. Suppose 3*c**4 - o*c**3 - 12*c**2 - 6*c + 0 + 9/8*c**5 = 0. Calculate c.
-2, -2/3, 0, 2
Let d(j) = 124*j**2 - 3168*j - 209122. Let y(v) = 44*v**2 - 1056*v - 69708. Let r(m) = -6*d(m) + 17*y(m). Factor r(o).
4*(o + 132)**2
Let w be 30/(-10) + 6/(-2). Let u be 4/((w/4)/((-9)/108)). Factor -4/9*j + 2/9*j**4 + u*j**5 - 2/3*j**3 + 0 - 10/9*j**2.
2*j*(j - 2)*(j + 1)**3/9
Let x(o) = -23*o + 214. Let b be x(-16). Suppose -c + 2*a = -580, 0 = -0*c + 4*c - 5*a - 2323. Factor -b*j + c*j + 2 - 2*j**2.
-2*(j - 1)*(j + 1)
Suppose 33*w - 127 + 61 = 0. Solve 26*b**w + 4*b**3 - 11*b**2 - 21*b**2 - 10*b**2 - 2*b**4 - 16*b**3 = 0.
-4, -2, 0
Let w(z) be the third derivative of 5/8*z**4 - 1/40*z**5 + 0 + 110*z**2 + 0*z + 11/4*z**3. Factor w(y).
-3*(y - 11)*(y + 1)/2
Let j(b) be the third derivative of -b**5/60 + 21*b**4/8 - 30*b**3 + 285*b**2. Factor j(h).
-(h - 60)*(h - 3)
Factor -17/3*q**3 + 0 - 98/9*q**2 - 7/9*q**4 - 8/3*q.
-q*(q + 3)*(q + 4)*(7*q + 2)/9
Let x(z) be the second derivative of -47*z + 21/40*z**5 + 0*z**6 + 3/4*z**4 - 1/28*z**7 + 0*z**3 + 0 + 0*z**2. Find w, given that x(w) = 0.
-2, -1, 0, 3
Let d(a) be the third derivative of a**5/390 - 2*a**4/13 + 95*a**3/39 - 286*a**2 - 2. Factor d(t).
2*(t - 19)*(t - 5)/13
Let g = 1524896/48635 + -4221/137. Let y = 4/71 + g. Solve 6/5*f - y*f**2 - 3/5*f**3 + 0 =