(h). Find g, given that n(g) = 0.
-5, 1, 51
Let x(r) be the third derivative of 0 + 0*r - 5329/18*r**3 + 73/36*r**4 - 1/180*r**5 - 18*r**2. Factor x(d).
-(d - 73)**2/3
Let k(x) be the second derivative of x**4/60 - 89*x**3/15 + 177*x**2/10 + 873*x. Let k(h) = 0. Calculate h.
1, 177
Let v(g) be the second derivative of 1/360*g**6 + 7/3*g**3 + 0*g**2 - 18*g - 1/18*g**4 - 1/90*g**5 + 0. Let n(l) be the second derivative of v(l). Factor n(y).
(y - 2)*(3*y + 2)/3
Let g(f) be the first derivative of -f**4 - 64*f**3/3 - 130*f**2 - 200*f + 3031. Factor g(z).
-4*(z + 1)*(z + 5)*(z + 10)
Factor 13452*j - 27848 - 175*j**2 + 281*j**2 + 128*j**2 + j**3.
(j - 2)*(j + 118)**2
Let o(a) be the second derivative of 2*a**7/7 + 28*a**6/75 - 3*a**5/25 - 2*a**4/15 + 400*a + 4. Find f, given that o(f) = 0.
-1, -1/3, 0, 2/5
Factor 62 + 2/5*u**2 + 72/5*u.
2*(u + 5)*(u + 31)/5
What is y in -302/13*y + 50/13 + 462/13*y**2 - 18/13*y**3 = 0?
1/3, 25
Let i(r) be the third derivative of r**7/210 - 29*r**6/120 + 17*r**5/6 - 91*r**4/6 + 44*r**3 - 266*r**2. Factor i(a).
(a - 22)*(a - 3)*(a - 2)**2
Suppose 297*d**3 - 10*d**5 + 200*d**3 - 90*d**4 - 11*d**5 - 48*d**2 + 240*d**2 + 151*d**3 = 0. Calculate d.
-8, -2/7, 0, 4
Let d(l) be the second derivative of -1/315*l**7 + 7/90*l**4 - 26 + 1/45*l**6 + 0*l**2 - 2/45*l**3 - 3/50*l**5 - l. Let d(o) = 0. Calculate o.
0, 1, 2
Let o(r) be the second derivative of -r**7/98 + r**6/14 + 69*r**5/70 + 10*r**4/7 + 527*r. Find m such that o(m) = 0.
-4, -1, 0, 10
Factor 3/2*n**3 + 873/2 + 573/2*n - 297/2*n**2.
3*(n - 97)*(n - 3)*(n + 1)/2
Let r = -159/2 + 2389/30. Let u be 4/1 + (-19)/(-95)*-3*(-56)/(-9). Solve 2/5 - r*g**2 + u*g = 0.
-1, 3
Let u(d) be the third derivative of -d**8/3360 + d**7/560 + d**6/720 - d**5/80 + 6*d**3 + 4*d**2 - 10*d. Let o(x) be the first derivative of u(x). Factor o(r).
-r*(r - 3)*(r - 1)*(r + 1)/2
Let y(i) = 16*i**3 - 150*i**2 + 288*i - 64. Let m(o) = -14*o**3 + 149*o**2 - 289*o + 64. Let v(j) = 4*m(j) + 3*y(j). Determine l, given that v(l) = 0.
1/4, 2, 16
Let l(f) = -f**3 + f**2 + f + 4. Let j be l(2). Let a(z) = -15*z**2 - 535*z - 7290. Let r(n) = -7*n**2 - 268*n - 3645. Let d(u) = j*a(u) - 5*r(u). Factor d(p).
5*(p + 27)**2
Let t(a) = -a**2 + 38*a - 222. Let q be t(8). Let d(z) be the second derivative of 0 - 25/3*z**3 - 5/3*z**4 + 0*z**2 - 1/10*z**5 - q*z. Factor d(o).
-2*o*(o + 5)**2
Suppose 4*t + 105 = -111. Let o be ((135/10)/(-9))/(t/8). Factor o*m**2 - 10/9*m + 8/9.
2*(m - 4)*(m - 1)/9
Let u be 10/(-15)*(-156)/8. Suppose 10 = u*y - 16. Factor 8*p**4 - 22*p**2 + 26*p**y - 12*p**4.
-4*p**2*(p - 1)*(p + 1)
Suppose -6*s + 17 = -25. Let p be (726/105 - s)*-10. Factor 2/7*u + 0 + p*u**2 + 6/7*u**3 + 2/7*u**4.
2*u*(u + 1)**3/7
Let b be 6/(((-81)/(-6))/9). Factor -3*f**4 + f**b - 2*f**4 + f**4.
-3*f**4
Let c(j) be the third derivative of 2/3*j**3 + 0 - 4/5*j**5 + 176*j**2 - 1/6*j**4 + 0*j. Find f such that c(f) = 0.
-1/3, 1/4
Let r be 0/((5 + -1)*(13 - 14)). Suppose 2*d - 2*w + 5*w - 12 = 0, d - 5*w - 19 = r. Suppose 3/5*g**3 + d*g**2 - 192/5 + 144/5*g = 0. What is g?
-8, 1
Let i(j) be the second derivative of -j**5/5 - j**4 + 56*j**3/3 + 120*j**2 + 19*j - 51. Factor i(m).
-4*(m - 5)*(m + 2)*(m + 6)
Let t be 3/(-7) + ((-18)/105)/(46/(-115)). Let k(y) be the second derivative of t + 5/2*y**2 + 15/4*y**4 + 25/3*y**3 + 40*y. Factor k(r).
5*(r + 1)*(9*r + 1)
Let u(q) = 2*q**2 - 8*q + 11. Let n be u(2). Factor 3600 + 1728*p + 29*p**3 + 1632*p - 25*p**n - 236*p**2.
4*(p - 30)**2*(p + 1)
Let o = -4229 - -4229. Let v(r) be the third derivative of 0*r - 4/21*r**4 + 11*r**2 + o + 0*r**3 + 1/105*r**5. Suppose v(d) = 0. Calculate d.
0, 8
Let a = 105742 + -104992. Suppose -a*c**3 - 280/3*c - 500*c**2 - 16/3 = 0. What is c?
-2/5, -2/15
Let f(l) be the first derivative of -2*l**5/45 - 5*l**4/9 - 74*l**3/27 - 20*l**2/3 - 8*l - 1254. Factor f(g).
-2*(g + 2)**2*(g + 3)**2/9
Factor 298/5*p - 352/5 + 52/5*p**2 + 2/5*p**3.
2*(p - 1)*(p + 11)*(p + 16)/5
Suppose -70 = 7*w - 14*w. Let a be w/(-12)*(-144)/96. Factor 5/4*k**4 + 0*k + a*k**2 + 0 - 5/2*k**3.
5*k**2*(k - 1)**2/4
Let d = 47/147 + -52000/161259. Let s = 70193/5485 - d. Factor -12/5*v**2 - s + 48/5*v + 1/5*v**3.
(v - 4)**3/5
Suppose -12 = -3*s + 2*j, -41 = -5*s + 5*j - 16. Factor -1200 - 4/3*i**s - 80*i.
-4*(i + 30)**2/3
Let f = -49/342 - -269/684. Determine o, given that 3/4*o**2 + 0 - 1/2*o - f*o**3 = 0.
0, 1, 2
Let n(k) be the third derivative of 3*k**7/175 - 23*k**6/60 - 287*k**5/150 - 193*k**4/60 - 2*k**3 + k**2 - 2*k - 31. Suppose n(v) = 0. Calculate v.
-1, -2/9, 15
Let w = 4567/28 + -649/4. Let d = 2134/3759 - -2/537. Factor d*s + w - 2/7*s**2.
-2*(s - 3)*(s + 1)/7
Let d = 174 - -88. Let r = d - 523/2. Factor -1/2 - 1/2*h + r*h**3 + 1/2*h**2.
(h - 1)*(h + 1)**2/2
Let d(r) be the second derivative of -r**5/130 - 87*r**4/26 - 440*r**3 - 1300*r**2 - 794*r. Find x, given that d(x) = 0.
-130, -1
Let w(h) = -5*h + 114. Let f be w(22). Factor 5*i**f - 55*i**2 + 2 + 60*i + 42*i**3 - 99*i**3 - 2 + 47*i**3.
5*i*(i - 4)*(i - 1)*(i + 3)
Find n, given that -69898402/15*n - 2/15*n**5 + 34747958/15 + 35554484/15*n**2 - 405596/15*n**3 + 1558/15*n**4 = 0.
1, 259
Let z(q) be the second derivative of q**4/18 + 64*q**3/9 + 61*q**2 + 1234*q. Factor z(r).
2*(r + 3)*(r + 61)/3
Let z(w) be the third derivative of -w**5/690 + 917*w**4/138 - 840889*w**3/69 - 27*w**2 - 6*w + 3. Factor z(k).
-2*(k - 917)**2/23
Determine i so that 18/5*i**4 - 22/5*i**3 + 24/5*i + 0 - 104/5*i**2 = 0.
-2, 0, 2/9, 3
Let q = -3432/19 + 13785/76. Suppose q*u**2 + 3/2*u - 6 = 0. What is u?
-4, 2
Suppose i - 6 = -4. Suppose 5*g + 12 = 2*k + i*k, -4*k = g - 36. Factor -1055*f**3 + 6*f**5 - 17*f**2 - 4 + 1039*f**3 - 19*f**2 - 22*f + k*f**4.
2*(f - 2)*(f + 1)**3*(3*f + 1)
Let w(l) be the second derivative of l**5/60 - l**4 + 131*l**3/18 - 16*l**2 + 1769*l. Solve w(i) = 0.
1, 3, 32
Suppose -1100*c - 3*p - 31 = -1104*c, 0 = c - 4*p - 24. Let v(k) be the first derivative of -2/7*k - 2/3*k**3 - 20 - 5/7*k**2 - 3/14*k**c. Factor v(n).
-2*(n + 1)**2*(3*n + 1)/7
Let x(z) = z**3 + 7*z**2 - 77*z - 536. Let y be x(-7). Factor -2/3*a**y - 2/3*a + 4/3*a**2 + 0.
-2*a*(a - 1)**2/3
Suppose 0 = -6*j + 17 + 1. Suppose 534*v - 881*v + 1735 = 0. Let 0*f**2 - 2/5*f**v + 2/15*f**4 + 0 + 4/15*f**j + 0*f = 0. What is f?
-2/3, 0, 1
Suppose 29 = -11*t + 161. Suppose -61*h - t*h**5 - 52*h**4 - 4 - 41*h**3 + 74*h - 47*h**3 - 72*h**2 - 41*h = 0. What is h?
-1, -1/3
Factor -605/3*z**2 + 605/3 - 5/3*z**3 + 5/3*z.
-5*(z - 1)*(z + 1)*(z + 121)/3
Let n be (-238)/(-70) - 2*(-2)/(-10). Factor -8*r**3 + 0*r + 4*r**4 - 10*r - 4*r**2 + 14*r + 4*r**n.
4*r*(r - 1)**2*(r + 1)
Let y(t) be the first derivative of 5*t**3/3 - 1150*t**2 + 264500*t - 1768. Determine u so that y(u) = 0.
230
Let q(h) be the third derivative of -h**7/630 + 11*h**6/360 + h**5/3 + 105*h**2 + 5. Factor q(o).
-o**2*(o - 15)*(o + 4)/3
Let q(l) be the third derivative of l**8/672 + l**7/840 - l**6/144 - l**5/120 - 11*l**3/2 - 101*l**2. Let f(h) be the first derivative of q(h). Solve f(y) = 0.
-1, -2/5, 0, 1
Let y(u) be the first derivative of -3*u**4/20 - 8*u**3/5 - 9*u**2/2 + 1390. Find w, given that y(w) = 0.
-5, -3, 0
Let h(o) be the second derivative of -o**4/48 + 257*o**3/12 + 1403*o. Factor h(p).
-p*(p - 514)/4
Let n(l) be the second derivative of 3*l**5/10 - 43*l**4/3 + 1849*l**3/9 - 1129*l. Let n(p) = 0. What is p?
0, 43/3
Find y, given that 1506848 + 65*y**2 - 3472*y - 184*y**2 + 121*y**2 = 0.
868
Let p(v) be the first derivative of -116 - 3/4*v**2 - 1/20*v**5 + 5/12*v**3 + 0*v + 1/8*v**4. Let p(j) = 0. Calculate j.
-2, 0, 1, 3
Let w(i) = 145*i**2 + 1020*i + 1017. Let m(u) = 507*u**2 + 3060*u + 3050. Let d(o) = 4*m(o) - 14*w(o). Solve d(j) = 0.
-1019, -1
Let y be -54*(282/42 + -7). Let h = -96/7 + y. Factor 0 - h*u**3 + 0*u + 2/7*u**2.
-2*u**2*(6*u - 1)/7
Let m = -136224 + 136224. Factor 0 + m*a + 15/2*a**4 - 21/2*a**3 + 3*a**2.
3*a**2*(a - 1)*(5*a - 2)/2
Let m = -658 + 661. Suppose v = -2*i + 11, 3*i - m*v = -6*v + 24. Find k such that 2/5*k**4 + 16/5*k - 6/5*k**2 - 8/5 - 4/5*k**i = 0.
-2, 1, 2
Let h(k) = -2*k**2 - 383*k + 2849. Let l(b) = -b - 7. Let j(a) = -h(a) - 5*l(a). Determine u so that j(u) = 0.
-201, 7
Factor -3/2*u + 85/8 - 1/8*u**2.
-(u - 5)*(u + 17)/8
Let t(j) = -5*j**2 + 5