lve d(g) = 0.
0, 1
Let p = -197 + 200. Factor 6*s**2 + 3*s**4 - 218*s**p + 6*s**2 + 221*s**3 - 12*s - 6*s**4.
-3*s*(s - 2)*(s - 1)*(s + 2)
Let j(q) be the third derivative of q**8/2856 - 53*q**7/1785 + 101*q**6/1020 + 53*q**5/510 - q**4/2 - 5*q**2 + 50*q. Let j(n) = 0. Calculate n.
-1, 0, 1, 2, 51
Let k(a) be the first derivative of 7/9*a**2 - 2/27*a**3 + 11 + 0*a. Factor k(z).
-2*z*(z - 7)/9
Let y = -181803 + 181806. Let 3/7*h**3 + 0 + y*h - 24/7*h**2 = 0. Calculate h.
0, 1, 7
Let f(m) be the first derivative of 3*m**4/28 - 31*m**3/7 + 6*m**2 + 180*m/7 - 3729. Find v such that f(v) = 0.
-1, 2, 30
Let i = 29126/36395 - 2/7279. Let o be (0 - 3/(-12))*(-108)/(-135). Let o*u**3 - u**2 + 8/5*u - i = 0. What is u?
1, 2
Suppose -345 = 3*u - 2*g - 323, -8*g + 116 = 2*u. Let -124/7 + 2/7*y**u - 58/7*y = 0. What is y?
-2, 31
Suppose 1575 = 55*v - 50*v. Factor -30*u**2 - 14 + v*u - 236*u**3 - 526 + 231*u**3.
-5*(u - 3)**2*(u + 12)
Let r be (-10)/15 - ((-32)/6)/2. Factor 10*h**3 + 8*h - r*h**2 - 4*h + 2*h**4 - 9*h - 4*h - h.
2*h*(h - 1)*(h + 1)*(h + 5)
Let i(p) be the second derivative of -p**4/78 + 1310*p**3/39 - 429025*p**2/13 + 59*p + 5. Factor i(y).
-2*(y - 655)**2/13
Suppose -14*f + 341 = -37. Let g = -25 + f. Suppose 11*v**2 - g*v - 6*v**3 - v**2 + 8*v**5 - 60*v**4 + 30*v**4 + 20*v**4 = 0. Calculate v.
-1, 0, 1/4, 1
Let r(o) be the first derivative of o**4 - 124*o**3/3 + 640*o**2 - 4400*o + 1015. Let r(i) = 0. What is i?
10, 11
Let q(l) be the third derivative of 9/320*l**6 + 0*l**3 - 69*l**2 + 0 + 0*l + 1/48*l**4 - 1/20*l**5. Factor q(t).
t*(3*t - 2)*(9*t - 2)/8
Let k(d) = -8*d**3 - 7*d**2 + 2755*d + 24. Let y be k(-19). Factor -21 - 33/4*p**2 - y*p - 3/4*p**3.
-3*(p + 2)**2*(p + 7)/4
Let q = 3/8407 - -1269421/100884. Let v = -37/3 + q. Solve 9/8*b - v*b**3 - 1/2*b**4 + 1/8*b**5 + 3/2*b**2 + 0 = 0 for b.
-1, 0, 3
Let n(p) be the second derivative of -p**7/126 + p**6/90 + 53*p**5/60 + 53*p**4/12 + 6*p**3 + 4217*p. Let n(j) = 0. Calculate j.
-4, -3, -1, 0, 9
Let m be (-5)/((-2)/((-174)/(-3))). Let l be (-12)/(-7) + (1 - (-25)/(-35)). Factor -m + 4*z**l + 6*z**2 - 15*z**3 + 145 - 25*z**4.
-5*z**2*(z + 1)*(5*z - 2)
Let o = -171/584 - -317/584. Let -15/4*h + 2 + 3/2*h**2 + o*h**3 = 0. Calculate h.
-8, 1
Let x(i) be the first derivative of -i**5/60 + i**4/24 + i**3/3 - i**2 + 36*i + 80. Let v(r) be the second derivative of x(r). Determine o so that v(o) = 0.
-1, 2
Let q(d) be the first derivative of 0*d - 10/3*d**3 - 5/4*d**4 + 23 + 15/2*d**2. Factor q(z).
-5*z*(z - 1)*(z + 3)
Let x(q) be the first derivative of 34/3*q**3 + 7/2*q**4 + 12*q + 17*q**2 + 2/5*q**5 - 39. Factor x(c).
2*(c + 1)**2*(c + 2)*(c + 3)
Factor -148*j - 1/5*j**2 - 27380.
-(j + 370)**2/5
Let p be 1/(8/60)*-6. Let w = p - -48. Factor 117*s**2 - 10*s**3 - 122*s**2 + 5*s**4 + 7*s + w*s.
5*s*(s - 2)*(s - 1)*(s + 1)
Let x = 555 + -552. Suppose 0 = -2*g - g + 9. Factor -2*r**3 - g*r**x + 3*r**3 - 4*r + 6*r**3.
4*r*(r - 1)*(r + 1)
Let j = -3071/2 - -39927/26. Suppose 0*p = -4*i - 2*p + 4, 4*i = 2*p - 4. Factor -j*w**3 + 4/13*w**2 + 6/13*w + i.
-2*w*(w - 3)*(w + 1)/13
Let t(b) be the second derivative of -b**6/135 + b**5/15 + 11*b**4/54 - 20*b**3/9 - 100*b**2/9 - b - 113. Solve t(f) = 0 for f.
-2, 5
Let z = 234 - 230. Factor -6*w**3 - 12*w**2 - 6*w**2 - 10*w + z*w**2 + 6 - 8*w**2.
-2*(w + 1)*(w + 3)*(3*w - 1)
Suppose y + 16*u + 17 = 21*u, -5*y + 27 = 3*u. Let o be -1 - (2 + 1) - -34. What is t in -20*t**4 + 70*t**2 + y*t + 7*t + o*t + 15*t**3 - 5*t**5 = 0?
-4, -1, 0, 2
Let j(m) be the third derivative of -m**5/6 - 111*m**4/4 + 134*m**3/3 - 46*m**2 + 11*m. Let j(f) = 0. Calculate f.
-67, 2/5
Let n(h) = -6*h**2 - 28 + 3*h**2 - h**2. Let i(b) be the second derivative of b**4/12 + 9*b**2/2 - 115*b. Let l(j) = 16*i(j) + 5*n(j). Factor l(z).
-4*(z - 1)*(z + 1)
Let j(p) be the third derivative of -p**7/1260 + p**6/180 + 2*p**5/15 - p**4/6 + 4*p**3/3 - p**2 + 4. Let m(x) be the second derivative of j(x). Factor m(g).
-2*(g - 4)*(g + 2)
Let q be (-1*1234/(-132))/((-4)/(-9)). Let m = -161/8 + q. Determine i, given that 0*i**2 + 4/11*i**3 + 0*i - 14/11*i**5 + 0 - m*i**4 = 0.
-1, 0, 2/7
Suppose 35*p - 30*p = -5*t - 8715, -4*t - 5233 = 3*p. Let j = -1735 - p. Suppose -9/4*m**j - 3/4*m**5 - 3/4*m**3 + 9/4*m**2 + 3/2*m + 0 = 0. What is m?
-2, -1, 0, 1
Let o be 0 + ((-2)/3)/1*-6. Suppose 2*y - 4*i = -6, -4*y + 0*i + o*i + 4 = 0. Determine x so that -3*x - y*x**2 + 3*x**2 + x**2 + x = 0.
-2, 0
Suppose -49028*y**2 + 308896*y + 67*y**4 + 153664 + 1576*y**3 + 205832*y**2 - 51*y**4 - 12*y**4 = 0. What is y?
-196, -1
Suppose -8*y + 823 = 703. Let u(z) be the second derivative of -1/72*z**4 - y*z + 0 - 1/9*z**3 - 1/3*z**2. Factor u(w).
-(w + 2)**2/6
Let z(g) be the third derivative of g**6/300 - 638*g**5/75 + 101761*g**4/15 - 393*g**2 + g + 1. Suppose z(w) = 0. What is w?
0, 638
Let l(o) be the third derivative of o**7/630 + 19*o**6/120 + 419*o**5/90 + 28*o**4/3 - 784*o**3/9 + 453*o**2. Solve l(y) = 0 for y.
-28, -2, 1
Factor -3 + 603/4*d**2 + 300*d.
3*(d + 2)*(201*d - 2)/4
Let i(f) be the first derivative of -961/7*f - 78 - 31/7*f**2 - 1/21*f**3. Factor i(l).
-(l + 31)**2/7
Factor -1/2*x**2 + 5/2*x**4 - 2 + 9/2*x**3 - 9/2*x.
(x - 1)*(x + 1)**2*(5*x + 4)/2
Let q(s) be the second derivative of s**5/5 - 519*s**4 + 538722*s**3 - 279596718*s**2 - s + 845. Factor q(i).
4*(i - 519)**3
Let w(y) = -8*y**2 - 7916*y - 7817050. Let x(v) = -19*v**2 - 15836*v - 15634096. Let d(q) = 5*w(q) - 2*x(q). Factor d(g).
-2*(g + 1977)**2
Let a(o) be the third derivative of -o**7/140 + 77*o**6/80 - 219*o**5/20 + 215*o**4/4 - 142*o**3 - 4763*o**2 - 1. Let a(h) = 0. What is h?
2, 71
Let t(i) be the second derivative of 1643*i**4/30 - 329*i**3/3 + 2*i**2/5 - 1051*i - 1. Let t(l) = 0. Calculate l.
2/1643, 1
Let g be (-13)/(78/96) - (-16)/1. Factor 4/3*r**2 + g + 4/3*r.
4*r*(r + 1)/3
Let l(f) be the second derivative of 32*f - 1/13*f**3 + 1/195*f**6 + 0*f**2 + 11/78*f**4 + 0 + 2/273*f**7 - 11/130*f**5. Suppose l(a) = 0. What is a?
-3, 0, 1/2, 1
Let s(p) be the second derivative of -9*p**4/4 - 1864*p**3 - 1242*p**2 + 2327*p. Determine i so that s(i) = 0.
-414, -2/9
Let o be -3*(20/12 - 2) - 57. Let a be ((-1)/(-1))/(o/(-64)). Factor 0*j**3 - 12/7*j**2 + 4/7*j**4 - a*j + 0.
4*j*(j - 2)*(j + 1)**2/7
Let i = 8860625/14 - 633228. Let a = i + 653/2. Factor a*m**2 + 0 - 12/7*m.
2*m*(m - 6)/7
Solve -1/4*g**2 - 33/2*g - 513/4 = 0 for g.
-57, -9
Factor -2/11*f**2 + 48/11*f - 216/11.
-2*(f - 18)*(f - 6)/11
Let w = -16705 - -350806/21. Let z(y) be the first derivative of 4/7*y - w*y**3 - 11 + 0*y**2. Solve z(d) = 0 for d.
-2, 2
Suppose 196 = 3*m + 4*m. Suppose -4*u + 68 + m = 0. Factor -u*v**2 - 4*v - 20*v**3 - 3*v - 3*v - 5*v**4 - v**2.
-5*v*(v + 1)**2*(v + 2)
Let u be ((-3)/((-396)/(-48)))/((-27)/693). Solve 8 + 4/3*s**2 + u*s = 0.
-6, -1
Suppose -11*y + 15900 = 4*y. Factor -v**2 - 1062*v - 7*v**3 - 3*v**2 + y*v + 5*v**3.
-2*v*(v + 1)**2
Let u(a) = a + 63. Let h be u(10). Factor 79*y - 6*y**3 + 3*y**4 - 2*y**2 - h*y - y**4.
2*y*(y - 3)*(y - 1)*(y + 1)
Factor -y - 1/11*y**2 - 30/11.
-(y + 5)*(y + 6)/11
Let q = 30/7 - 22/7. Suppose -31 = -2*b + 3*j, b - 10*j = -9*j + 11. Suppose -2/7*u - q*u**b + 0 = 0. Calculate u.
-1/4, 0
Factor 5472*y**3 - 15578963*y**2 + 4*y**5 + 18847 - 288*y**4 + 15534035*y**2 + 171072*y - 267679.
4*(y - 48)*(y - 6)**4
Let o(c) be the first derivative of -c**4/6 - 52*c**3/3 - 676*c**2 - 147*c + 13. Let b(w) be the first derivative of o(w). What is z in b(z) = 0?
-26
Let l(y) be the second derivative of y**4/12 + 5*y**3/3 + 3*y**2/2 - 10*y. Let k be l(-10). Factor -4*n**k - 36*n**2 - 7*n - 108 - 82*n + 19*n - 38*n.
-4*(n + 3)**3
Suppose -110 = -j + 3*c, -2*j + 40 = 4*c - 150. Let r = j - 908/9. Factor 1/9*p**3 - 4/9*p**2 - 4/9*p + 0 + r*p**4.
p*(p - 2)*(p + 1)*(p + 2)/9
Let u = -334 - -336. Determine a, given that -a**2 + 5*a**4 - 9*a + 20*a**3 + 39*a - 10*a**u - 44*a**2 = 0.
-6, 0, 1
Suppose -90 + 1053 = 9*u. Let q = -313/3 + u. Solve 0 - 2/9*b - q*b**3 + 13/9*b**2 + b**4 = 0.
0, 1/3, 2
Factor 320*h**2 + 3307*h**3 - 4*h**4 - 3208*h**3 + 252*h + 9*h**4 - 64.
(h + 2)**2*(h + 16)*(5*h - 1)
Let -76*m - 1/3*m**2 - 4332 = 0. What is m?
-114
Let f = -21 - -41. Let x = f - 4. Let -x + 34*b + 49*b + 69*b + 294*b**4 + 322*b**3 - 452*b**2