ose 7*n - 18*n + 55 = 0. Determine v, given that 9*v**3 - 3*v**3 + 8*v**n - 2*v**3 + 12*v**4 = 0.
-1, -1/2, 0
Let t(y) = 37*y**3 - 55*y**2 - 8*y. Let c(r) = 38*r**3 - 52*r**2 - 8*r. Let x(b) = -3*c(b) + 4*t(b). Determine p, given that x(p) = 0.
-2/17, 0, 2
Let k = -1584313/1302 - -7301/6. Let b = k - -578/217. Factor -6*w**3 + 0 - b*w - 20/3*w**2 - 7/3*w**4 - 1/3*w**5.
-w*(w + 1)*(w + 2)**3/3
Let m(f) be the first derivative of f**4/21 - 4*f**3/7 - 32*f**2/7 + 106*f - 1. Let v(x) be the first derivative of m(x). Suppose v(w) = 0. What is w?
-2, 8
Solve -757/3*r - 433/3*r**2 - 120 - 35/3*r**3 + 1/3*r**4 = 0 for r.
-8, -1, 45
Let v(k) be the third derivative of -k**6/240 - 319*k**5/120 - 1580*k**4/3 + 6400*k**3/3 + 1176*k**2. Factor v(b).
-(b - 1)*(b + 160)**2/2
Let g(m) = 27*m**3 + 2. Let j(u) = 139553*u**3 + 561120*u**2 + 13380*u + 88. Let l(z) = -4*g(z) + j(z). Let l(w) = 0. Calculate w.
-4, -2/167
Let m(g) be the first derivative of 11*g**6/72 - 5*g**5/6 - 5*g**4/6 - 160*g**3/3 - 15. Let f(z) be the third derivative of m(z). Factor f(w).
5*(w - 2)*(11*w + 2)
Let z = 243 + -240. Factor 10 - 63*y - 3*y**4 + 15*y**z + 48*y - 2*y**4 + 0*y**2 - 5*y**2.
-5*(y - 2)*(y - 1)**2*(y + 1)
Let f(s) be the first derivative of 1/4*s**4 - 78 - 2*s + 0*s**3 - 3/2*s**2. Suppose f(d) = 0. What is d?
-1, 2
Let m = 136590 - 136566. Factor 336 - m*f + 3/7*f**2.
3*(f - 28)**2/7
Suppose 1/5*v**2 + 2802/5*v + 1962801/5 = 0. Calculate v.
-1401
Let i = 291 + -288. Let 4*t - 31*t + 8*t**i - 36*t**2 + 36*t**4 + 11*t + 8*t**5 = 0. Calculate t.
-4, -1, -1/2, 0, 1
Let l be (-23)/(69/(-2)) - (2485/(-42))/5. Factor -85/4*r + 20*r**3 + 10 + 5/4*r**5 + 5/2*r**2 - l*r**4.
5*(r - 8)*(r - 1)**3*(r + 1)/4
Let f be ((-154)/(-44) + -5)/(21/(-32)). Suppose -2/7*a**2 - 24/7 - f*a = 0. What is a?
-6, -2
Let i(g) be the third derivative of g**5/150 + 229*g**4/5 + 629292*g**3/5 - 311*g**2 + 4*g. What is k in i(k) = 0?
-1374
Let f = 378 + -376. Determine z, given that 1715 + 26*z**3 + 921*z - 77990*z**4 + 252*z**f + 157*z + 77991*z**4 = 0.
-7, -5
Let q(w) be the first derivative of -w**6/780 - 8*w**5/195 - 31*w**2/2 - 4*w - 78. Let a(g) be the second derivative of q(g). Factor a(o).
-2*o**2*(o + 16)/13
Suppose 0 = 8*m - 4059 + 531. Factor 47*f + m*f**3 + 508*f**2 + 0 + 31 - 15 + 117*f + 81*f**4.
(f + 1)*(f + 4)*(9*f + 2)**2
Factor o + 12/5 - 6/5*o**2 + 1/5*o**3.
(o - 4)*(o - 3)*(o + 1)/5
Find u such that -6277 + 756752*u**3 - 1549000*u**2 + 303440*u + 2652128*u**3 - 15403 - 10125*u**5 - 2731275*u**4 = 0.
-271, 2/9, 2/5
Determine h so that 3125000/3 + 2500/3*h + 1/6*h**2 = 0.
-2500
Suppose -4*b = -3*k + 7, -5*k + 31 = -9*b + 12*b. Find v such that -9*v**2 - 40*v**3 - 2*v**4 - 5*v**k + 7*v**2 + 22*v**2 + 27*v**4 = 0.
0, 1, 2
Let j be (-13 - 1141/(-91)) + 7520/(-585)*-32. What is v in 8/9*v + 4042/9*v**3 + 0 - 352/9*v**2 - j*v**4 = 0?
0, 2/43, 1
Let s(i) be the third derivative of 29/48*i**4 - 19/24*i**3 - 119*i**2 + 1/240*i**6 - 41/240*i**5 + 0 + 0*i. Suppose s(u) = 0. Calculate u.
1/2, 1, 19
Suppose -264*k + 36/5*k**2 + 2420 = 0. What is k?
55/3
Suppose 3*x + 3*s - 24 = 0, 5*x - 2*s = 7 + 12. Solve -53 + 48 + d**3 + 5*d**2 + 0*d**3 - x*d + 4*d**3 = 0 for d.
-1, 1
Suppose -5*q = 4*u + 25, q + 117*u + 7 = 116*u. Find m, given that 3*m**4 - 27/7 + 3/7*m**5 - 45/7*m + 6/7*m**2 + 6*m**q = 0.
-3, -1, 1
Let t be ((-315)/(-12))/((-20)/(-96)). Suppose -28*n = -t + 70. Find k, given that -4/7*k**5 - 4/7*k**4 + 20/7*k**3 - 12/7*k**n + 0*k + 0 = 0.
-3, 0, 1
Factor 4*h**5 + 5101*h**2 + 544*h + 456*h**3 - 11064*h**2 + 5115*h**2 - 92*h**4.
4*h*(h - 17)*(h - 2)**3
Let o(h) be the third derivative of h**8/560 + h**7/140 - h**6/120 - h**5/20 - 14*h**3/3 + 77*h**2. Let q(d) be the first derivative of o(d). Factor q(a).
3*a*(a - 1)*(a + 1)*(a + 2)
Let w be 20/35 - 80/140. Let t(a) be the third derivative of 21*a**2 - 1/3*a**4 - 1/30*a**6 + 0*a - 1/5*a**5 + 0*a**3 + w. Factor t(o).
-4*o*(o + 1)*(o + 2)
Let f = -1010404 + 7072885/7. Suppose 102/7*z - f*z**2 + 3/7*z**3 + 0 = 0. What is z?
0, 2, 17
Let a(u) = -u**2 + 7*u - 4. Let r be a(6). Let c be (0 + 6/(-5))/(1011/(-3370)). Factor -5*w - w + c*w**r - 5*w**2 + 3*w.
-w*(w + 3)
Let r(z) = 84*z**2 - 571*z - 4869. Let s(c) = 50*c**2 - 285*c - 2435. Let f(m) = -6*r(m) + 10*s(m). Let f(y) = 0. What is y?
-8, 152
Suppose 5*k + 8 = g, -3*g - 2*k = -3*k - 10. Suppose -g*r = -0*r - 21. Factor f**4 - 3*f**5 - 2*f**2 + 2*f**3 + 2*f**5 - f + r - 6.
-(f - 1)**3*(f + 1)**2
Let w(t) be the first derivative of 29 + 3/2*t**2 + 4*t - 1/3*t**3. Factor w(n).
-(n - 4)*(n + 1)
Let d(f) be the third derivative of -f**6/1980 - f**5/22 - 75*f**4/44 + 10*f**3/3 - 2*f**2 - 81. Let u(c) be the first derivative of d(c). Factor u(m).
-2*(m + 15)**2/11
Let i = 19344 + -19340. Suppose 0 = -4*z + 5*s + 7, -s = -0*z - 3*z + 8. Factor 2/5*c**i - 22/5*c**2 + 24*c + 40 - 12/5*c**z.
2*(c - 5)**2*(c + 2)**2/5
Let h(q) = 11*q + 278. Let w be h(-25). Let v(c) be the first derivative of -8/33*c**w - 4/11*c - 15 - 1/22*c**4 - 5/11*c**2. Solve v(o) = 0.
-2, -1
Let p be ((-64)/(-112))/(4/28). Let 7*w - 42*w + 35*w**3 + 45*w**2 - 274*w**p + 279*w**4 - 50 = 0. Calculate w.
-5, -2, -1, 1
Let c(s) be the first derivative of 2*s**5/35 - s**4/7 - 22*s**3/21 + 12*s**2/7 + 4325. Factor c(m).
2*m*(m - 4)*(m - 1)*(m + 3)/7
Let d = -113 + 43. Let x = -66 - d. Solve -4 + 50*c**3 - x*c - 4*c - 22*c**3 + 4*c**4 - 20*c**3 = 0.
-1, 1
Let q(o) = 16*o + 1. Let j = -80 + 82. Let l be q(j). Factor -168*y**2 - l*y**5 + 104*y**3 - 172*y**4 + 3 - 9 + 34*y**4 - 57*y - 326*y**3.
-3*(y + 1)**4*(11*y + 2)
Let x = 183 + -194. Let n be (-123)/27 - (x + (-12)/(-2)). Factor 0*l - n*l**4 + 0*l**3 + 4/9*l**2 + 0.
-4*l**2*(l - 1)*(l + 1)/9
Let u be (-52)/(-16)*-1*416/(-2704). Factor 1/8*l**5 + 9/8*l**3 + 0 - u*l**2 + 3/4*l**4 - 3/2*l.
l*(l - 1)*(l + 2)**2*(l + 3)/8
Let z be (-13)/((-13)/12) + -4. Let d = -5 + z. Suppose 35*i**2 - 18*i**3 - 7*i**d - 8*i + 18*i - 3*i**4 - 17*i**4 = 0. What is i?
-2, -1/4, 0, 1
Let z(g) be the third derivative of -g**5/15 + 111*g**4 - 73926*g**3 - 5897*g**2. Factor z(n).
-4*(n - 333)**2
Let t be (2/(-3))/(((-600)/504)/25). Let z be 2/(-9) + t*(-30)/(-189). Find g such that -2/3*g - 8/9 + 2/9*g**z = 0.
-1, 4
Let g(c) be the third derivative of -c**6/60 - c**5/15 + c**4/12 + 2*c**3/3 + 5775*c**2. Suppose g(p) = 0. Calculate p.
-2, -1, 1
Let i(o) = -10*o**4 - 70*o**3 + 140*o**2 - 45. Let y = 103 - 104. Let n(w) = w**3 + w**2 + w. Let h(t) = y*i(t) + 5*n(t). Let h(v) = 0. Calculate v.
-9, -1/2, 1
Determine o, given that -105*o**2 + 660 - 121*o**2 + 29*o**2 - 475*o - 7*o**3 + 17*o**2 + 2*o**3 = 0.
-33, -4, 1
Let z(h) be the first derivative of -h**6/2340 + h**5/260 - h**3 - 15*h - 18. Let s(o) be the third derivative of z(o). Factor s(c).
-2*c*(c - 3)/13
Let a(f) be the third derivative of f**8/1848 - 2*f**7/77 - f**6/132 + 5*f**5/11 + f**4/33 - 40*f**3/11 + 8*f**2 - 69*f. Suppose a(p) = 0. Calculate p.
-2, -1, 1, 2, 30
Let r be 3/(-12)*-4*9*(-5)/(-180). Let y(q) be the first derivative of r*q**4 + 2*q**3 + 6*q**2 - 32 + 8*q. Factor y(u).
(u + 2)**3
Let u(t) be the third derivative of t**8/1008 - 61*t**7/630 - 25*t**6/72 - 7*t**5/20 + 729*t**2. Let u(f) = 0. Calculate f.
-1, 0, 63
Suppose -1265 + 10*u**4 - 459*u**3 - 20*u**2 - 5*u + 469*u**3 + 1275 - 5*u**5 = 0. Calculate u.
-1, 1, 2
Suppose -2870*a**2 + 120*a + 47*a**3 + 5*a**4 + 2817*a**2 - 119*a**3 = 0. Calculate a.
-8/5, 0, 1, 15
Let k be ((-45)/(-4))/((-63)/(-168)). Find r, given that -60895*r + 60897*r - k*r**2 - 84*r**2 = 0.
0, 1/57
Solve 51 - 116/7*u - 1/7*u**2 = 0 for u.
-119, 3
Let j(d) be the third derivative of -1/360*d**6 + 2*d + 1/32*d**4 - 17*d**2 + 1/240*d**5 + 0 + 1/36*d**3. What is b in j(b) = 0?
-1, -1/4, 2
Let m be 128/7 + (-44)/154. Suppose -m = -9*q - 0. Solve 32*b**4 - 20*b**5 - 16*b**3 + 20*b**4 - 123*b**2 + 45*b**2 + 62*b**q = 0 for b.
-2/5, 0, 1, 2
Suppose 49/2*u**3 + 1/2*u**4 + 0 + 70*u**2 + 46*u = 0. Calculate u.
-46, -2, -1, 0
Let h(y) be the third derivative of 0*y**3 - 1/30*y**5 + 0 - 1/180*y**6 + 0*y + 113*y**2 + 1/9*y**4. Find j such that h(j) = 0.
-4, 0, 1
Let z(m) = m**3 + 110*m**2 + 735*m + 670. Let x be z(-6). Let 18/7*k**2 + 4/7 - 10/7*k**3 - 2*k + 2/7*k**x = 0. Calculate k.
1, 2
Suppose 894 - 84*h**2 - 82*h**2 - 81*h**2