Find z, given that w(z) = 0.
-1, 144
Let j = -185 + 188. Let x be j + (1*-26)/(24 + -14). Factor -l**2 + 0 - x*l.
-l*(5*l + 2)/5
Let v(s) be the third derivative of -3*s**8/784 + 61*s**7/1470 - 17*s**6/168 - 17*s**5/84 + 47*s**4/84 + 4*s**3/7 - 1113*s**2. Suppose v(g) = 0. Calculate g.
-1, -2/9, 1, 3, 4
Suppose 4*u + 20 = k, 3*k + 2*u + 7 = -3. Suppose -4*o = -k*o + 12, c - 5*o - 24 = 0. Determine d, given that -19*d**2 - 3*d + 22*d**2 - c*d = 0.
0, 4
Suppose 12*w + 71 = 143. Factor -w*f - 77 + 33 + 15*f**2 + 23.
3*(f + 1)*(5*f - 7)
Determine q, given that -2*q + 54*q**2 - 33*q**2 - 134*q - 750 - 26*q**2 - 129*q = 0.
-50, -3
Let o(q) be the second derivative of 229*q + 0 - 2/5*q**4 - 43/15*q**3 - 6*q**2 + 1/50*q**5. Factor o(r).
2*(r - 15)*(r + 1)*(r + 2)/5
Let d(k) = -22*k - 52. Suppose -9*w + 2 + 7 = 0. Let z(g) = -w - g - 176*g**2 + 86*g**2 + 91*g**2. Let c(u) = 2*d(u) - 4*z(u). Solve c(x) = 0 for x.
-5
Let b(z) be the first derivative of -22/7*z**3 - 93/7*z**2 - 255 + 36*z. Factor b(f).
-6*(f - 1)*(11*f + 42)/7
Let x(y) be the first derivative of -5*y**3/3 + 3720*y**2 - 2767680*y - 1480. Factor x(l).
-5*(l - 744)**2
Suppose -178/13*b**2 - 4048/13*b - 3872/13 - 2/13*b**3 = 0. Calculate b.
-44, -1
Let n(l) be the third derivative of l**6/60 - 37*l**5/90 - 41*l**4/12 + 5*l**3 - 260*l**2 - l. Solve n(a) = 0.
-3, 1/3, 15
Let j(o) be the first derivative of 12*o**3 + 3/8*o**4 + 144*o**2 + 768*o - 107. Factor j(u).
3*(u + 8)**3/2
Let o(f) be the third derivative of 0 - 1/204*f**6 + 108*f**2 + 2/1785*f**7 + 0*f - 1/204*f**4 + 2/255*f**5 + 0*f**3. Suppose o(c) = 0. Calculate c.
0, 1/2, 1
Suppose 6*j + 3*y = 3*j + 12, -j = -5*y + 8. Suppose -s**2 + 203*s - 183*s - 4*s**j = 0. Calculate s.
0, 4
Let f(h) be the third derivative of 0*h + 1/48*h**6 + 1/3*h**3 - 1/5*h**5 + 10*h**2 + 0 + 5/16*h**4. Factor f(g).
(g - 4)*(g - 1)*(5*g + 1)/2
Factor 17040/17*p**2 + 2259938/17 - 32/17*p**3 - 133938*p.
-2*(p - 1)*(4*p - 1063)**2/17
Factor -1/3*x**3 + 249*x**2 - 46376*x - 139876/3.
-(x - 374)**2*(x + 1)/3
Let l = -61627 + 123255/2. Suppose 0 - 2*o - l*o**3 + 5/2*o**2 = 0. Calculate o.
0, 1, 4
Let m = 201/14 + -991/70. Let r(h) be the first derivative of -3/5*h + 11 + 1/15*h**3 + m*h**2. Let r(q) = 0. What is q?
-3, 1
Let b(o) be the third derivative of 11*o**5/50 - 53*o**4/12 + 8*o**3/15 - 2612*o**2. Suppose b(r) = 0. Calculate r.
1/33, 8
Factor -120/7*u + 0 - 278/7*u**3 - 1088/21*u**2 - 6/7*u**4.
-2*u*(u + 45)*(3*u + 2)**2/21
Let v(t) be the third derivative of t**6/90 - 53*t**5/360 - 7*t**4/48 + 2330*t**2 - 1. Determine j, given that v(j) = 0.
-3/8, 0, 7
Let f be 45/18*((-1930)/193 + (-112)/(-6) - 8). Let 80/3 + 5/3*h - 80/3*h**2 - f*h**3 = 0. Calculate h.
-16, -1, 1
Let p = -98 + 123. Factor -3 - 40*h - 25*h**2 - p - 5*h**3 - 5 + 13.
-5*(h + 1)*(h + 2)**2
Let t = -1716 + 1719. Let b(y) be the second derivative of -35/48*y**4 - 1/16*y**5 - 16*y + 0 - 55/24*y**t - 25/8*y**2. Let b(z) = 0. Calculate z.
-5, -1
Let o = -95 - -156. Let a = 63 - o. Let -55*j**4 + 62*j**5 + 320*j**a + 30*j**3 - 72*j**5 - 9*j - 151*j = 0. Calculate j.
-4, 0, 1/2, 2
Suppose 810*n**2 + 5/3*n**3 + 0 + 2425/3*n = 0. Calculate n.
-485, -1, 0
Find p such that -24 + 1/6*p**3 - 5/3*p**2 - 29/2*p = 0.
-3, 16
Suppose -452*u + 519 = -746 + 361. Let 34*q**u - 450*q - 2/3*q**3 + 1250/3 = 0. What is q?
1, 25
Let x(m) = 5*m + 92. Let r be x(-6). Suppose -34*d + 6 = -r. Let -12/5 - 2/5*l**2 + d*l = 0. What is l?
2, 3
Let l(f) = 53*f**2 - 6380*f + 10201628. Let p(q) = -40*q**2 + 6382*q - 10201630. Let u(x) = 3*l(x) + 4*p(x). Factor u(b).
-(b - 3194)**2
Let w be 146/(-73)*(-1 + -10). Suppose p = -5*t + w, 4*p - t = -6*t + 28. Find a, given that 0 - 4/13*a**p + 2/13*a + 2/13*a**3 = 0.
0, 1
Let l(w) be the third derivative of 0*w**3 - 1/20*w**5 - 94*w**2 + 21/8*w**4 + 0*w + 0. Factor l(s).
-3*s*(s - 21)
Let i be ((-30 + (-3876)/(-133))*70/8)/((-12)/2). Find s, given that 1/2 + 3/4*s**4 - i*s**2 + 5/4*s**3 - 5/4*s = 0.
-2, -1, 1/3, 1
Let s be (-4)/32 + 124/(-32) + 6. Solve -59*t**4 + 62*t**4 - 3*t**2 - 4*t**s - 7*t**3 - 8 + 18*t + t**5 = 0 for t.
-4, -2, 1
Let v(o) be the first derivative of -o**5/4 - 55*o**4/4 - 1085*o**3/6 + 1495*o**2/2 + 7935*o/4 - 155. Suppose v(x) = 0. What is x?
-23, -1, 3
Let t(a) = 2*a + 16. Let o be t(-7). Factor -2*g**o - 509 - 100*g - 659 - 82.
-2*(g + 25)**2
Solve 1/7*s**3 + 41/7*s - 20/7 - 22/7*s**2 = 0.
1, 20
Let i(y) be the first derivative of -83 - 56/17*y + 44/17*y**2 - 2/17*y**3. Factor i(n).
-2*(n - 14)*(3*n - 2)/17
Factor -65 - 10*r - 25*r**2 + 130 + 30*r**2 - 65.
5*r*(r - 2)
Let a = -178 + 185. Factor 14*y**5 - 15*y**5 - 4*y**4 + 8*y - 5*y**5 + 10*y**2 + a*y**5 - 3*y**3.
y*(y - 4)*(y - 2)*(y + 1)**2
Let x(a) be the second derivative of a**3/3 + 11*a**2 + 9*a. Let u be x(-10). Find y, given that -108*y + 16*y**3 + 32 - 6*y**3 + 101*y**2 - 35*y**u = 0.
-8, 2/5, 1
Let x(h) be the third derivative of -2*h**7/35 + 131*h**6/40 + 37*h**5/20 - 131*h**4/8 - 33*h**3/2 + 148*h**2 + 5*h. Find i, given that x(i) = 0.
-1, -1/4, 1, 33
Let c(n) = -n - 2. Let h(a) = 3*a**2 + 160*a + 152. Suppose -3*r = -5*r - 4, -3 = -b - r. Let q(o) = b*c(o) - h(o). Let q(y) = 0. Calculate y.
-54, -1
Factor 3026420 + 4/5*s**2 - 3112*s.
4*(s - 1945)**2/5
Let y(g) = 4*g**4 + 13*g**3 - 18*g**2 - 6*g + 14. Let f(b) = 5*b**4 + 17*b**3 - 23*b**2 - 8*b + 18. Let r(w) = 7*f(w) - 9*y(w). Solve r(l) = 0 for l.
-1, 0, 1, 2
Let v(l) be the third derivative of l**7/1050 + 31*l**6/60 + 307*l**5/100 - l**4/30 - 614*l**3/15 + 4588*l**2. Factor v(a).
(a - 1)*(a + 2)**2*(a + 307)/5
Let v(x) be the first derivative of 7/3*x**3 - x**2 + 0*x + 59 + 9/4*x**4. Suppose v(n) = 0. Calculate n.
-1, 0, 2/9
Let m(b) be the third derivative of -b**6/600 - 67*b**5/300 + 107*b**4/60 + 28*b**3/3 + 21*b**2 + 22. Factor m(u).
-(u - 4)*(u + 1)*(u + 70)/5
Let i(t) = 212 - 465 + 234 + 7*t**3 + 36*t**2 + 21*t. Let s(b) = 48*b**3 + 252*b**2 + 146*b - 134. Let x(u) = 44*i(u) - 6*s(u). Let x(v) = 0. What is v?
-2, 2/5
Let v be 520/(-78) - (-9 - (9 + -8)). Let -20/3*l**2 + 4*l**4 - 2*l + 16/3*l**3 - v*l**5 + 8/3 = 0. What is l?
-1, -4/5, 1
Let p = 1/154 - 19/4620. Let y(o) be the third derivative of 2/21*o**3 + 0 + 0*o**4 - p*o**5 + 24*o**2 + 0*o. What is v in y(v) = 0?
-2, 2
Let j(g) = -g**3 - 2*g**2 + 18*g + 32. Let w be j(-5). Let h be (w/(-170))/(1 + 10/(-8)). Factor 2/5*q**2 + 0*q - h*q**3 + 0.
-2*q**2*(q - 1)/5
Suppose -824*v = 64*v - 541 - 2123. Factor -384 + 3*n**v - 195/2*n**2 + 816*n.
3*(n - 16)**2*(2*n - 1)/2
Determine j, given that -61250/13 - 2/13*j**4 - 121800/13*j + 696/13*j**3 - 4604*j**2 = 0.
-1, 175
Let o(n) be the first derivative of n**3/12 - 19*n**2/4 - 20*n + 1261. What is p in o(p) = 0?
-2, 40
Suppose 12 = 5*h - 43. Suppose 12 = h*g - 7*g. Factor -4*b**4 - 25*b**g + 52*b**3 - 27*b**3.
-4*b**4
Let o(h) be the third derivative of 8*h**2 + 8/9*h**3 + 0 - 1/630*h**7 + 3/20*h**5 + 6*h - 19/36*h**4 - 1/90*h**6. Factor o(i).
-(i - 2)*(i - 1)**2*(i + 8)/3
Let y(u) = 4*u**3 - 15*u**2 + 193*u - 549. Let h be y(3). Factor -2*o + 23/7*o**2 - 4/7*o**h - 5/7.
-(o - 5)*(o - 1)*(4*o + 1)/7
Factor 1/5*u**2 + 6724/5 - 164/5*u.
(u - 82)**2/5
Let x(d) be the third derivative of d**6/40 - 12*d**5/35 + 99*d**4/56 - 27*d**3/7 - 694*d**2 + 4*d. Factor x(m).
3*(m - 3)**2*(7*m - 6)/7
Let s be 885288/(-630) - (-80)/50. Let a = 1404 + s. Suppose -2/21*n**5 + 0 - 8/7*n**2 - a*n - 26/21*n**3 - 4/7*n**4 = 0. Calculate n.
-2, -1, 0
Let j = 5378 + -5375. Let g(v) be the third derivative of -18*v**2 + 1/75*v**5 - 2/15*v**j + 1/8*v**4 + 0*v + 0. Suppose g(u) = 0. What is u?
-4, 1/4
Suppose -3*t = -3*h + 6, -2*t + 3*h - 1 = -2. Let f be (-10 + 9)/(((-14)/(-6))/t). Determine y, given that -1/7*y**4 + 0*y - 3/7*y**f - 2/7*y**2 + 0 = 0.
-2, -1, 0
Let u = -2/491869 - -983748/2459345. Factor 18/5*q + 36/5 + u*q**3 - 16/5*q**2.
2*(q - 6)*(q - 3)*(q + 1)/5
Let g be ((110/99)/(91/351))/(4/7). Factor 18 + 6*k - g*k**2.
-3*(k - 2)*(5*k + 6)/2
Let x(r) = 328*r**2 - 2692*r + 1404. Let p(s) = -16*s**2 - 2*s - 2. Let z(n) = -20*p(n) - x(n). Determine t so that z(t) = 0.
1/2, 341
Let c(u) be the second derivative of -u + 1/48*u**4 + 0*u**2 + 2/3*u**3 + 29. Factor c(l).
l*(l + 16)/4
Let h(p) be the second derivative of 6/7*p**2 - 1/6*p**4 - 63*p - 1/70*p**5 + 0 + 1/