 Let x(c) be the first derivative of v(c). Factor x(w).
-(w - 1)**2/5
Let o(s) be the first derivative of s**4 + 4*s**3 - 12*s**2 - 32*s + 476. Solve o(b) = 0 for b.
-4, -1, 2
Let u = 970 + -964. Suppose -1 - 115*p**2 + u + 37*p**2 + 38*p**2 - 6*p + 41*p**2 = 0. Calculate p.
1, 5
Let w(b) be the first derivative of b**3/3 - 513*b**2/10 - 206*b/5 + 3572. Factor w(a).
(a - 103)*(5*a + 2)/5
Suppose 3*p - 44 - 31 = 4*m, 0 = p - 2*m - 35. What is q in 80/13*q**3 + 18/13*q**p + 6*q**4 - 96/13*q - 48/13*q**2 - 32/13 = 0?
-2, -2/3, 1
Let x be 3/(48600/(-16230) - (-2 + -1)). Factor -x - 4*b - 6*b**2 + 42*b - 36*b**2 - 2*b**4 + 529 + 18*b**3.
-2*(b - 6)*(b - 1)**3
Suppose 5*r = -3*y + 31, 0 = -2*r - 644*y + 648*y + 2. Solve 8/5*q**r + 2/5*q**3 + 2*q**4 + 0 + 0*q**2 + 0*q = 0.
-1, -1/4, 0
Let k be 354879/29475 + 1/(-25). Factor -13*r**3 - 20*r**2 + r**5 - 3/2*r**4 - 5/2 - k*r.
(r - 5)*(r + 1)**3*(2*r + 1)/2
Let b = -43369/3 + 14459. Factor 4/3*p**2 - 4/3*p - b.
4*(p - 2)*(p + 1)/3
Let l(q) = -15*q**3 + 45*q**2 + 510*q - 1600. Let s(n) = -5*n**3 + 15*n**2 + 171*n - 534. Let h(w) = -3*l(w) + 10*s(w). Suppose h(c) = 0. What is c?
-6, 3, 6
Let h be -13*(-104)/169 - 4*(-9)/(-6). Let -8/5*p - h*p**3 + 0 + 1/5*p**4 + 17/5*p**2 = 0. What is p?
0, 1, 8
Let h = -93913/171258 - -1/2346. Let y = 433/657 + h. Factor 0 + y*x**2 - 1/9*x.
x*(x - 1)/9
Let q be ((-12)/(-20))/(140/700). Factor -50/3*p + 12 - 32*p**2 - 10/3*p**q.
-2*(p + 1)*(p + 9)*(5*p - 2)/3
Factor 99/2*j - 97 - 1/2*j**2.
-(j - 97)*(j - 2)/2
Suppose -13 = -107*g + 105*g - 3*m, 0 = 6*g - 3*m - 3. Factor -1/2*d**g - 5*d + 12.
-(d - 2)*(d + 12)/2
Let k(z) = -4*z**2 + 507*z - 53358. Let p(b) = 3*b**2 - 492*b + 53359. Let u(l) = -4*k(l) - 6*p(l). Factor u(s).
-2*(s - 231)**2
Let r(w) be the first derivative of 5*w**3/12 + 309*w**2/2 + 247*w/4 - 7024. Suppose r(g) = 0. Calculate g.
-247, -1/5
Let z = -626416 - -626419. Factor 2/11*d**z - 8/11 - 14/11*d - 4/11*d**2.
2*(d - 4)*(d + 1)**2/11
Let p(s) be the third derivative of -1/30*s**5 - 26 - 3*s**2 - 5/12*s**4 + 0*s**3 + 0*s. Factor p(o).
-2*o*(o + 5)
Let g(y) = y**3 + 21*y**2 + 20*y + 2. Let k be g(-20). Suppose 5*p + 395 = 5*f, -2 = 2*p + 8. Solve 3*d**3 - 76*d + 0*d**2 + f*d + d**k = 0 for d.
-1, 0, 2/3
Let g(q) = 46*q**2 - 9*q - 78. Let z(c) = -23*c**2 + 4*c + 36. Let h(u) = 6*g(u) + 13*z(u). Let h(f) = 0. Calculate f.
-2/23, 0
Let r be (-6 + 62/10)*0/(2 - 0). Factor 0*k + 3*k**4 + 3/2*k**5 + 0*k**3 + 0*k**2 + r.
3*k**4*(k + 2)/2
Determine w so that 0*w + 0 + 950/7*w**3 + 2166/7*w**2 + 2/7*w**5 + 82/7*w**4 = 0.
-19, -3, 0
Let l = -111682 + 111684. What is u in 28/3 + 4/3*u + 4/3*u**3 + 1/3*u**4 - 7*u**l = 0?
-7, -1, 2
Let p = 994/87 - 6697/609. Find m such that 1/7*m**2 - 4/7*m + p = 0.
1, 3
Let d(f) be the third derivative of 3/2*f**3 - 2*f**2 + 0*f + 1/32*f**6 + 1/40*f**5 + 4 - 19/32*f**4. Factor d(z).
3*(z - 1)**2*(5*z + 12)/4
Let c(h) be the first derivative of -4*h**5/5 + 10*h**4 - 12*h**3 + 1200. Factor c(p).
-4*p**2*(p - 9)*(p - 1)
Let b = -29964 - -30008. Factor b*r**3 + 80/3*r**4 + 80/3*r**2 + 0 + 16/3*r**5 + 16/3*r.
4*r*(r + 2)**2*(2*r + 1)**2/3
Let q = 245/6 - 229/6. Let w(p) be the second derivative of 25*p + 0 + q*p**2 + 1/36*p**4 + 4/9*p**3. Find d such that w(d) = 0.
-4
Suppose -4*v = 4678 - 1442. Let u = -807 - v. Factor -9/5*h**u - 6/5 + 29/5*h.
-(h - 3)*(9*h - 2)/5
Suppose -3*t - g + 24 = -4*g, 2*t - 3*g = 18. Let f be (8/t - (-253)/(-165)) + 1. Suppose 8/5*u**3 + 28/5*u**2 + 16/5*u + 0 - f*u**4 = 0. What is u?
-1, 0, 4
Let t(h) be the third derivative of -h**8/112 + 90*h**7/7 - 10125*h**6/2 - 2247*h**2. Factor t(v).
-3*v**3*(v - 450)**2
Let b(f) = 7*f - 53. Let q be b(8). Suppose -30*h**4 + 22*h**2 - h - 88*h**2 + 0*h - 3*h**5 - 7*h - 72*h**q - 13*h = 0. What is h?
-7, -1, 0
Let d be 3 + (-3)/(-9)*1329. Let h = d + -230. Solve h*l - 112*l - 106*l + l**2 = 0.
0, 2
Let c = -36919/3 + 12307. Factor 14/3*q - c*q**2 - 20/3.
-2*(q - 5)*(q - 2)/3
Let o(f) be the third derivative of f**7/70 - 8*f**6/5 + 303*f**5/20 - 119*f**4/2 + 118*f**3 + 3*f**2 - 781*f. Factor o(y).
3*(y - 59)*(y - 2)**2*(y - 1)
Let b be ((-23)/(-69))/((-8 + -4)/(-108)). Suppose 93/7*v**b + 102/7*v**4 + 0 + 18/7*v**2 + 0*v - 45/7*v**5 = 0. Calculate v.
-2/5, -1/3, 0, 3
Let t(w) be the first derivative of -w**4/4 - 2*w**3 + w**2/2 + 2*w + 195. Let h be t(0). What is u in -10*u - 30*u**h - 25/2*u**3 + 0 = 0?
-2, -2/5, 0
Factor -2810*l**2 + 2*l**3 + 4*l**3 - 1990*l**2 + 1440000*l - 2*l**3.
4*l*(l - 600)**2
Let g(i) = 6*i + 10. Let p be g(13). Factor 6*f**3 + 266*f - 2*f**3 + 218*f + p*f**2.
4*f*(f + 11)**2
Let m = -3755 - -33821/9. Let x(w) be the first derivative of m*w**3 + 11 - 2*w + 2/3*w**4 + 17/6*w**2. Factor x(d).
(d + 2)*(2*d + 3)*(4*d - 1)/3
Let s be 1/(18/261)*(-16 - 2). Let a be 96/(-336) + (s/84)/(-3). Factor 0 - a*o - 3/8*o**2.
-3*o*(o + 2)/8
Let z(j) = -j**2 - 9*j. Let n be z(-7). Suppose -n = 5*h - 9. Let d(y) = -2*y**2 - 16*y - 2. Let i(u) = -u**2 + 1. Let o(k) = h*d(k) - 2*i(k). Factor o(x).
4*x*(x + 4)
Let f(q) be the first derivative of q**4 - 684*q**3 - 2058*q**2 - 2060*q + 8800. Factor f(k).
4*(k - 515)*(k + 1)**2
Let s(m) = -m**4 - m. Let v(l) be the second derivative of -7*l**6/30 - l**5/5 - l**4/4 - l**3 - l + 62. Let r(w) = 6*s(w) - v(w). Factor r(t).
t**2*(t + 1)*(t + 3)
Suppose z - 23 = -2*q, 4*z = -4612 + 4688. Factor 45/2 - 3/4*b**q + 3/4*b.
-3*(b - 6)*(b + 5)/4
Suppose m = -3*b - 3, 6*m - 7*m + 9 = -3*b. Let o be 1*(1 + 3) + b. Determine a so that 1/2*a**3 + 1/2*a**4 + 0 + 0*a - 1/2*a**o - 1/2*a**5 = 0.
-1, 0, 1
Let w be (-1 + 22/(-10))/(6/(-15)). Let o be w*(0 + (-3)/(-12)). Suppose -4*b**2 + 10*b - b**o - 174 + 174 = 0. Calculate b.
0, 2
Factor -2375*t**2 - 294 - 1368*t**2 - 1177*t**2 - 351*t**3 - 17283*t.
-3*(t + 7)**2*(117*t + 2)
Let v(x) = -x**4 - 6*x**3 + 7*x**2 + 3*x - 3. Let q(n) = -2*n**3 - n - 1. Let o(s) = -6*q(s) + 2*v(s). Factor o(d).
-2*d*(d - 3)*(d + 1)*(d + 2)
Let x(i) be the second derivative of -7*i**4 + 34*i**3/3 + 8*i**2 + 1298*i. Suppose x(d) = 0. Calculate d.
-4/21, 1
Suppose 2*q - 5*m = 1438, 0 = -2*m + 2 + 6. Factor 274*o**2 + 600*o**2 + 896*o + 260*o**2 + 10*o**4 + 14*o**4 + 324*o**3 + q + 643*o.
3*(o + 9)*(2*o + 3)**3
Let o(r) = -74*r**4 + 50*r**3 + 337*r**2 + 267*r - 18. Let b(h) = 36*h**4 - 24*h**3 - 168*h**2 - 132*h + 8. Let d(t) = 9*b(t) + 4*o(t). Factor d(g).
4*g*(g - 3)*(g + 1)*(7*g + 10)
Factor -146*g + 0*g + 88*g - 2*g**2.
-2*g*(g + 29)
Let x(q) = 3*q**2 - 3. Let p(j) = -4*j**2 - 110*j + 434. Let v(k) = -p(k) - 3*x(k). Factor v(l).
-5*(l - 17)*(l - 5)
Let j(i) be the second derivative of -i**4/42 - 47*i**3/21 - 40*i**2 - 304*i + 3. Factor j(z).
-2*(z + 7)*(z + 40)/7
Suppose 6*x**2 - 1024 + 35054*x - 11598*x - 4*x**2 - 11617*x - 11331*x = 0. What is x?
-256, 2
Factor -352/5*x + 512/5*x**2 + 0 - 48*x**3 + 32/5*x**4 + 2/5*x**5.
2*x*(x - 2)**3*(x + 22)/5
Let p(q) be the second derivative of -q**5/4 + 925*q**4/12 - 2260*q**3/3 + 1800*q**2 + 3814*q. Determine t, given that p(t) = 0.
1, 4, 180
Let s be (-36)/(-16) - (124729/5220 - 24) - (-12)/27. Factor -6*r + 6/5*r**3 + 2/5*r**4 + 36/5 - s*r**2.
2*(r - 2)*(r - 1)*(r + 3)**2/5
Let u(s) = -28*s**5 + 16*s**4 - 356*s**3 + 392*s**2 + 24*s + 72. Let h(j) = j**5 + 2*j**4 + 2*j**3 - j - 3. Let y(k) = 24*h(k) + u(k). Factor y(b).
-4*b**2*(b - 7)**2*(b - 2)
Let m = 747 + -744. Suppose x - 6*x + m*a + 10 = 0, 0 = -5*a. Let -2/3*b**5 - 16/3*b**x - 80/9*b**3 + 32/9 + 32/9*b - 38/9*b**4 = 0. Calculate b.
-2, -1, 2/3
Suppose -4 = -m - 0*m, -2*m = h - 19. Factor -3 + h*r + 9 - 15*r + 9*r + r**2.
(r + 2)*(r + 3)
Let x be 6/(-6 - (-5769)/963). Let p = 644 + x. Factor -48/11*b - 2/11*b**3 - p*b**2 + 72/11.
-2*(b - 1)*(b + 6)**2/11
Let h(p) = -3*p**3 - p**2 + 6*p - 8. Let i(n) be the first derivative of -n**4/4 - n**3/3 + n**2/2 - 2*n - 54. Let y(q) = -3*h(q) + 12*i(q). Factor y(s).
-3*s*(s + 1)*(s + 2)
Let u be ((-3)/18 - -1)/((-12)/(-3264)*-3788 + 14). Let -124/9*t + u*t**2 - t**3 + 40/9 = 0. Calculate t.
2/3, 10
Let z(u) = u**3 - 3*u**2 - 4*u + 8. Let g be z(4). Let o be 3/(195/(-500)) + g. Determine w, given that -o - 18/13*w + 8/13*w**2 - 40/13*w**4 + 54/13*w**3 = 0.
-2/5, -1/4, 1
Solve -288 - 40*n + 7/2*n**2 + 1/2*n**3 = 0.
-8, 9
Suppose -404 = 772178*g - 772279*g. What is y in 6/5