 Factor 0 + 0*z - 45/2*z**4 + z**2 + x*z**3.
-z**2*(z - 1)*(45*z + 2)/2
Let t(n) be the second derivative of -5*n**9/3024 - n**8/168 + n**7/24 - n**6/18 - 85*n**3/6 - 9*n. Let s(d) be the second derivative of t(d). Factor s(p).
-5*p**2*(p - 1)**2*(p + 4)
Factor 27 + 29*p**3 + 22 + 46*p**2 - 30*p**3 + 95*p - 1.
-(p - 48)*(p + 1)**2
Let j be (4/5)/(480/(-50) + 10/1). Let w(c) be the first derivative of 8/25*c**5 - 1/2*c**4 - 1/15*c**6 + 4/15*c**3 + 0*c + 8 + 0*c**j. Factor w(l).
-2*l**2*(l - 2)*(l - 1)**2/5
Let u = 2974019/793076 - -4/198269. Determine d so that 0 - d + u*d**2 + d**3 = 0.
-4, 0, 1/4
Let t(z) be the second derivative of z**7/126 + 89*z**6/90 + 153*z**5/5 - 1679*z**4/9 - 4232*z**3/9 - 611*z. Solve t(u) = 0 for u.
-46, -1, 0, 4
What is r in 1717*r**3 - 3*r**4 - 375*r**2 - 251 - 2*r**4 - 1872*r**3 + 1235*r - 449 = 0?
-28, -5, 1
Let t(c) be the second derivative of 4*c**6/15 + 217*c**5/10 + 235*c**4/3 + 104*c**3/3 - 231*c - 6. Determine s so that t(s) = 0.
-52, -2, -1/4, 0
Suppose -13*c = 66*c - 869. Let o be (6/35)/(3*c/55). Factor -2/7*v**2 - o*v**3 + 2/7 + 2/7*v.
-2*(v - 1)*(v + 1)**2/7
Let u be (-3 + (-2 - -2))/(17 - 16). Let b(c) = 5*c**2 + 55*c + 4. Let f(w) = 4*w**2 + 55*w + 3. Let s(x) = u*b(x) + 4*f(x). Solve s(l) = 0 for l.
-55, 0
Let -4/9*x**3 - 14/9 + 40/9*x - 22/9*x**2 = 0. Calculate x.
-7, 1/2, 1
Let o(n) be the third derivative of n**6/80 - 217*n**5/40 + 11211*n**4/16 + 61605*n**3/4 + 4*n**2 + 322*n + 1. Solve o(k) = 0.
-5, 111
Let z(s) be the second derivative of s - 19/24*s**4 + 7/60*s**6 - 6 - 7/40*s**5 - 1/84*s**7 + 4/3*s**3 + 5*s**2. Suppose z(a) = 0. Calculate a.
-1, 2, 5
Determine t, given that -242/5*t**2 + 2/5*t**3 + 48*t + 0 = 0.
0, 1, 120
Find f such that -68/7*f - 4/7*f**2 - 208/7 = 0.
-13, -4
Factor -116/13*s**4 + 2/13*s**5 + 0*s - 112/13*s**2 + 0 + 226/13*s**3.
2*s**2*(s - 56)*(s - 1)**2/13
Let 1 - i**5 - 106*i**3 - 292615*i**4 - 253*i - 252*i**2 + 292597*i**4 - 91 = 0. What is i?
-9, -5, -2, -1
Let p(a) be the third derivative of -a**8/45360 - a**7/1620 + 2*a**6/405 - a**5/60 + 5*a**4/6 + 85*a**2. Let i(d) be the third derivative of p(d). Factor i(m).
-4*(m - 1)*(m + 8)/9
Let b(m) = 51*m**3 - 4002*m**2 - 8061*m + 12060. Let r(s) = 30*s**3 - 2401*s**2 - 4837*s + 7236. Let z(y) = 7*b(y) - 12*r(y). Factor z(i).
-3*(i - 268)*(i - 1)*(i + 3)
Let w(m) = -m - 1. Let d(h) = 104 - 75*h + 99*h + 4*h**2 - 3*h**2. Let v(r) = -5*d(r) - 20*w(r). Factor v(z).
-5*(z + 10)**2
Let a(u) = 3*u**3 + 39*u**2 - 6. Suppose 9 = -6*g + 15. Let i(r) = -1. Let k(t) = g*a(t) - 6*i(t). Determine z so that k(z) = 0.
-13, 0
Let d be (-5)/1*38/95. Let s be (-10 + 10)/(d + 1 - 0). Factor 0*x**2 + s*x + 0 - 1/6*x**3.
-x**3/6
Let b(w) be the second derivative of -w**5/60 + 43*w**4/36 + w**3/18 - 43*w**2/6 + w - 29. Determine s, given that b(s) = 0.
-1, 1, 43
Let z(f) be the second derivative of f**5/240 - 17*f**4/96 - 14*f**2 - 63*f. Let r(a) be the first derivative of z(a). Factor r(b).
b*(b - 17)/4
Let n = 5030/7 - 719. Let w = 1/14 - n. Determine h, given that -w*h**4 - h**3 + 1/2*h**2 + h + 0 = 0.
-2, -1, 0, 1
Let h(s) = -s**2 + 1. Let z(b) be the third derivative of b**6/120 + 4*b**5/15 - b**3/3 + 92*b**2. Let r(j) = -6*h(j) - 3*z(j). What is o in r(o) = 0?
-14, 0
Let j(l) be the third derivative of -l**7/210 + l**5/30 + 83*l**3/6 + 30*l**2. Let x(b) be the first derivative of j(b). Factor x(n).
-4*n*(n - 1)*(n + 1)
Suppose -4*g = 7*k - 22, -135*g = k - 137*g + 2. Factor -4/3*d**k - 4332 - 152*d.
-4*(d + 57)**2/3
Let s(r) = -22*r**4 - 386*r**3 + 466*r**2 + 58*r - 29. Let n(i) = -11*i**4 - 193*i**3 + 232*i**2 + 28*i - 14. Let l(x) = 29*n(x) - 14*s(x). Factor l(u).
-u**2*(u - 1)*(11*u + 204)
Let x(c) be the first derivative of 5*c**4/4 + 35*c**3/3 - 805*c**2/2 + 765*c + 2516. Find p such that x(p) = 0.
-17, 1, 9
Suppose 0 = -14*d + 9*d + 2*j + 12, -2*d - 4*j = 0. Let o(g) be the first derivative of -1 - 1/12*g**3 - 49/4*g + 7/4*g**d. Factor o(x).
-(x - 7)**2/4
Suppose -31/2*t**2 + 1/2*t**4 - 13/2*t + 13/2*t**3 + 15 = 0. What is t?
-15, -1, 1, 2
Let g(m) be the first derivative of 0*m - 84 - 1/2*m**6 + 9/4*m**4 + 0*m**5 + 0*m**2 - 2*m**3. Solve g(x) = 0 for x.
-2, 0, 1
Suppose -5*j = 5*w - 3870, 2*j - 3*w - 1677 = -139. Find r such that 4*r**3 - 762*r**2 - j*r**2 + 4*r + 1550*r**2 - 24 = 0.
-3, -2, 1
Let t(v) be the second derivative of v**5/150 - 11*v**4/30 - 16*v**3/5 - 27*v**2 + 5*v + 13. Let y(q) be the first derivative of t(q). Let y(m) = 0. What is m?
-2, 24
Factor -5/3*h**3 - 4505*h + 14045/3 - 175*h**2.
-5*(h - 1)*(h + 53)**2/3
Suppose 478*g - 13 = o + 473*g, 10 = -o + 4*g. Factor 6/5*j**o + 0*j + 2/5*j**3 + 0.
2*j**2*(j + 3)/5
Let i be -86*(-2)/(-60) + 3. Suppose -3*s = f + 6, 37*s + 12 = 36*s - 2*f. Factor 2/15*z**2 + s*z - i.
2*(z - 1)*(z + 1)/15
Suppose 2093*z - 2466 + 989 = 433*z + 1843. Solve -2/19*o**3 + 0 + 12/19*o**z + 32/19*o = 0 for o.
-2, 0, 8
Let x(k) be the first derivative of 37 + 2/5*k**2 + 0*k + 2/15*k**3 - 1/10*k**4. Factor x(w).
-2*w*(w - 2)*(w + 1)/5
Let t(i) = -2*i**3 - 30*i**2 - 26*i + 31. Let j be t(-14). Let c(m) be the second derivative of -36/5*m**2 - 94/15*m**j + 15*m - 1/3*m**4 + 0. Factor c(g).
-4*(g + 9)*(5*g + 2)/5
Let g = 5 - 3. Let p = -198 - -203. Factor 0*n**g + 334*n + p*n**2 - 334*n.
5*n**2
Let o(l) be the first derivative of 36*l**5/5 - 380*l**4 - 2048*l**3 - 2592*l**2 + 1472*l - 4126. Suppose o(q) = 0. Calculate q.
-2, 2/9, 46
Let s be (-2*(-9)/(-24))/(10/(-3896)). Let c = s - 292. Solve 0 + 0*d + c*d**2 + 1/5*d**4 - 2/5*d**3 = 0 for d.
0, 1
Let g(r) be the first derivative of 4*r**5/5 + 11*r**4 - 52*r**3 + 82*r**2 - 56*r + 701. Factor g(l).
4*(l - 1)**3*(l + 14)
Let t be 0/(4/4 + 1). Suppose -3*x - 20 = -5*i, t = 9*i - 12*i - 3*x + 12. Factor -10/17*z - 20/17*z**2 - 2/17*z**5 - 20/17*z**3 - 10/17*z**i - 2/17.
-2*(z + 1)**5/17
Let k(n) be the third derivative of n**7/560 + 77*n**6/160 + 5109*n**5/160 - 15785*n**4/16 + 42025*n**3/4 - 2463*n**2. Factor k(p).
3*(p - 5)**2*(p + 82)**2/8
Let u be 214*(0 - (-68)/8). Suppose 45*p**5 - 320 + 288*p**3 + 1001*p**2 + 540*p**4 + 1867*p**3 - 240*p + u*p**2 = 0. Calculate p.
-4, -1/3, 1/3
Suppose 3*r = 7*r + 1404. Let i = 1757/5 + r. Find j such that 0 + 2/5*j - 6/5*j**2 - i*j**3 + 6/5*j**4 = 0.
-1, 0, 1/3, 1
Let z = 359 + -347. Factor -7*b**3 - 9*b**3 + 13*b**3 - z*b + 2*b**2 + 10*b**2.
-3*b*(b - 2)**2
Suppose -9*j = -6*j - 9. Factor -54 + 446 + 6*r**3 - 2*r**j - 48*r**2 + 84*r.
4*(r - 7)**2*(r + 2)
Let 1/4*r**5 + 103/2*r**3 + 27/4*r**4 + 78*r**2 + 0 + 0*r = 0. Calculate r.
-13, -12, -2, 0
Determine f, given that 733*f**3 - 51*f - 6*f**2 + 26*f**2 - 5*f**4 - 718*f**3 + 0*f**4 - 9*f = 0.
-2, 0, 2, 3
Let o(w) be the third derivative of -w**6/660 + w**5/165 + 10*w**4/33 + 64*w**3/33 + 245*w**2. Solve o(a) = 0 for a.
-4, -2, 8
Suppose 2 = 4*g - 6, r + 26 = -3*g. Let p = r + 34. Factor 280*u**4 - 66*u**5 + 12*u**3 - 19*u**p + 38*u**5 - 168*u**5 - 16*u - 61*u**2.
-4*u*(u - 1)**2*(7*u + 2)**2
Suppose 18 = 3*c + 3. Suppose 0 = c*l - 12 - 8. Factor -16*v + l - 2*v**3 + v**3 + 24*v**2 + 5*v**4 - 15*v**3 - v**4.
4*(v - 1)**4
Let w(s) be the first derivative of -2*s**5/5 + 49*s**4 + 808*s**3/3 + 408*s**2 - 8480. Suppose w(l) = 0. What is l?
-2, 0, 102
Determine f so that -80*f - 20*f**5 + 520/3*f**3 + 0 - 20/3*f**2 + 115/3*f**4 = 0.
-2, -3/4, 0, 2/3, 4
Suppose 175 = 57*p - 50*p. Suppose 184 = p*f + 134. Solve -24/5*y**3 - 48/5*y - 4/5*y**4 - 52/5*y**f - 16/5 = 0 for y.
-2, -1
Let w = 1049 + 604. Factor 1402*k**2 - 176*k**2 - w*k**3 + 216*k - 1479*k**3 + 8 + 1682*k**4.
2*(k - 1)**2*(29*k + 2)**2
Let f = 414149/6 - 137995/2. What is t in 20/3 + 82/3*t**3 - f*t - 8/3*t**4 - 4*t**2 = 0?
-1, 1/4, 1, 10
Let k(l) = l**3 + l**2 + 2375. Let g be k(0). Let o = 16693/7 - g. Factor 25/7*y**4 - 12/7 - 111/7*y**2 + o*y + 30/7*y**3.
(y - 1)*(y + 3)*(5*y - 2)**2/7
Let d(t) = -51*t**2 + 200*t - 28. Let m(o) = -13*o**2 + 50*o - 7. Let g(s) = 6*d(s) - 23*m(s). Factor g(u).
-(u - 7)*(7*u - 1)
Suppose 5*x - 10 = 5. Let r be 9/x + 0 + -1. Factor 11 + 23 + 7*p + 11*p + 3*p**r - 7.
3*(p + 3)**2
Let q = 93 + -1673/18. Let a(r) be the third derivative of -5/72*r**4 + q*r**5 + 0*r**6 + 0*r**3 + 0*r - 11*r**2 - 1/63*r**7 + 0 + 5/1008*r**8. Factor a(x).
5*x*(x - 1)**3*(x + 1)/3
Find p, giv