g**5 + 1/50*g**6 + 0*g**2 + 1/210*g**7 - 1/15*g**3 + g - 1/20*g**4 + 16. Factor q(f).
f*(f - 1)*(f + 1)**2*(f + 2)/5
Solve 16348*t - 3519*t - 192 + 11907*t + 264196*t**3 - 800812*t**2 = 0.
4/257, 3
Let l(h) be the third derivative of -h**6/60 + 37*h**5/30 - 105*h**2 + 3. Determine t so that l(t) = 0.
0, 37
Let u(p) = -7*p**2 + 1943*p - 464643. Let b(y) = 3*y**2 - 970*y + 232322. Let l(s) = 5*b(s) + 2*u(s). Solve l(h) = 0 for h.
482
Let n(z) be the first derivative of 30*z**2 - 175*z**3 - 12/7*z + 126. Factor n(g).
-3*(35*g - 2)**2/7
Suppose 0 = 318*y + 397*y + 121*y - 1672. Factor 34/5*u**y + 2/5*u**3 + 126/5*u - 162/5.
2*(u - 1)*(u + 9)**2/5
Let b = 253 - 168. Let v(x) = -9*x**2 + 0*x**2 - 11 - 1758*x + 1738*x. Let h(d) = -125*d**2 - 280*d - 155. Let w(y) = b*v(y) - 6*h(y). Factor w(j).
-5*(j + 1)*(3*j + 1)
Let p = 40 - 33. Let s = -4 + p. Factor 85*w**3 + w**2 + 85*w**3 - 169*w**s.
w**2*(w + 1)
Let g(w) = -2*w**3 - w**2 - w + 24. Let n(s) = -278*s**2 + 3274*s - 10732. Let h(m) = -2*g(m) + n(m). Solve h(b) = 0 for b.
7, 55
Factor -9/2*m**3 + 3*m**4 + 1/4*m**5 + 729/4*m + 0 - 81*m**2.
m*(m - 3)**2*(m + 9)**2/4
Let o(q) be the second derivative of -q**6/105 + 17*q**5/14 - 997*q**4/21 + 7520*q**3/21 + 9600*q**2/7 + 75*q - 12. Determine j so that o(j) = 0.
-1, 6, 40
Let s = 1009/1778 - -1/254. Suppose 0*d + 4*d + 9 = -3*r, 5*d + 5*r = -15. Factor 4/7*f**2 + 0*f + d + 4/7*f**3 - 4/7*f**4 - s*f**5.
-4*f**2*(f - 1)*(f + 1)**2/7
Let v(b) be the second derivative of -3*b**5/80 - 9*b**4/8 - 5672*b. Factor v(k).
-3*k**2*(k + 18)/4
Let d = -2 + 3. Let w = -2841 - -2899. Factor d + 5*j**3 - w*j**2 + 58 - 10 + 23 + 156*j.
(j - 6)**2*(5*j + 2)
Let -2/5*f**3 - 72/5*f**2 + 0 - 256/5*f = 0. What is f?
-32, -4, 0
Let f = 3730/909 + -46672/11817. Determine o, given that f*o**2 - 30/13 + 4/13*o = 0.
-5, 3
Let n = 128 - 193. Let k be ((-3)/2)/(-4 + n/(-20)). What is h in -3*h - 3*h + 3*h**3 + 73*h**k - 70*h**2 = 0?
-2, 0, 1
Let g be ((-14)/(-4))/((-34)/(-68)). What is u in g*u**3 - 24 + 14*u**3 - 16*u**2 - 44*u - 17*u**3 + 0*u**3 = 0?
-1, 6
Let h(v) = 3966*v**3 + 7*v**2 - 5*v. Let s be h(1). Suppose 3956 = -6*z + s. Factor 0 + 0*p - 3/2*p**5 + 0*p**2 - z*p**3 - 4*p**4.
-p**3*(p + 2)*(3*p + 2)/2
Let i(r) = 4*r**3 + 69*r**2 - 688*r + 65. Let o be i(7). Factor 12/7*g**3 + 147*g**o + 21930/7*g - 5547/7.
3*(g + 43)**2*(4*g - 1)/7
Let w(x) = -15*x - 7. Let n be w(-3). Let k = n + -36. Determine l, given that 156*l - 4*l**2 + 0*l**k - 168*l = 0.
-3, 0
Let m(l) be the first derivative of -84 - 1/3*l**3 + 1/2*l**2 + l - 1/4*l**4. Factor m(d).
-(d - 1)*(d + 1)**2
Let q(v) = 11*v**2 + 11*v - 20. Let i be q(-2). Let b(k) be the first derivative of 15*k**i + 5/3*k**3 - 3 - 35*k. Factor b(n).
5*(n - 1)*(n + 7)
Let l(h) be the second derivative of h**6/55 + 37*h**5/110 + 139*h**4/66 + 115*h**3/33 - 150*h**2/11 + 4284*h. Determine g so that l(g) = 0.
-5, -3, 2/3
Suppose -36*h - 27*h = -126. Let x(j) be the second derivative of -1/10*j**5 - 3*j**h + 1/2*j**4 + 0 + 10*j + 1/3*j**3. Let x(c) = 0. What is c?
-1, 1, 3
Suppose 4/5*u**4 - 32/5 + 88/5*u + 48/5*u**2 + 6/5*u**5 - 74/5*u**3 = 0. Calculate u.
-4, -1, 1/3, 2
Solve -23/2*j**4 - 7/4*j**5 + 25*j - 2*j**2 - 87/4*j**3 + 12 = 0.
-3, -2, -4/7, 1
Let s(x) = -x**3 + 3*x**2 + 2*x - 6. Let b be s(2). Let 26*j**2 + 9*j**2 - 36*j**b + 13*j = 0. Calculate j.
0, 13
Suppose r = -2*q + 34, 79*q = 77*q + 3*r + 42. Let m(u) be the second derivative of 1/4*u**4 - 1/5*u**3 + 1/50*u**6 + 0 - q*u - 3/25*u**5 + 0*u**2. Factor m(i).
3*i*(i - 2)*(i - 1)**2/5
Let o(f) be the third derivative of -f**5/390 + 9*f**4/52 + 160*f**3/39 + 470*f**2 - 4*f. Find h such that o(h) = 0.
-5, 32
Let t be (-2256)/10340*(4/14*175/(-15) - 0). Factor 0 - 10/11*o**2 - 2/11*o**3 - t*o.
-2*o*(o + 1)*(o + 4)/11
What is r in -108/5*r**4 + 0 - 144*r**2 - 2/5*r**5 - 674/5*r**3 + 1504/5*r = 0?
-47, -4, 0, 1
Let n(o) be the second derivative of 2*o**4/3 - 73*o**3/6 + 36*o**2 - 3858*o. Find a, given that n(a) = 0.
9/8, 8
Let j(m) = -4*m**3 - 18*m**2 - 154*m - 163. Let y(s) = -5*s**3 - 27*s**2 - 230*s - 245. Let p(w) = 7*j(w) - 5*y(w). Factor p(b).
-3*(b - 7)*(b + 2)**2
Let a(v) = 13*v + 104. Let z be a(-8). Suppose z = -m + 3*q - 4*q + 6, 3*m + 2 = 2*q. Determine k, given that -2/15*k**m + 2/15*k + 4/5 = 0.
-2, 3
Suppose 80 = -4*g + 9*g. Suppose -9*h = -7*h - g. Factor -2*z - 8*z - 8*z - h*z**2 + 2*z - z**3.
-z*(z + 4)**2
Let g(m) = -5*m**4 - 38*m**3 + 457*m**2 - 420*m. Let v(a) = -15*a**4 - 113*a**3 + 1372*a**2 - 1260*a. Let s(r) = -8*g(r) + 3*v(r). Let s(x) = 0. Calculate x.
-14, 0, 1, 6
Let i(z) be the second derivative of 8*z**3 + 0 - 72*z - 12/5*z**5 + 0*z**2 - 1/3*z**4 + 2/15*z**6. Factor i(o).
4*o*(o - 12)*(o - 1)*(o + 1)
Let w(m) be the second derivative of 16 + 0*m**3 + 4/3*m**4 - 2/21*m**7 + 0*m**2 - 8/15*m**6 + 1/5*m**5 - 7*m. Solve w(o) = 0.
-4, -1, 0, 1
Let w(t) = -2*t**2 - 3023*t + 574564. Let x(c) = -20*c**2 - 27204*c + 5171076. Let q(d) = -28*w(d) + 3*x(d). Factor q(a).
-4*(a - 379)**2
Let o(c) = -c**2 + c + 9. Let a(x) = -4*x**2 + 259*x - 9. Let u(y) = a(y) + o(y). Factor u(k).
-5*k*(k - 52)
Let 0*z + 2/13*z**4 + 10/13*z**3 + 0 - 28/13*z**2 = 0. Calculate z.
-7, 0, 2
Let j(d) be the third derivative of 1/132*d**6 - 138*d**2 + 0*d**4 + 0 + 1/110*d**5 + 1/1155*d**7 - 1/1848*d**8 + 0*d + 0*d**3. Suppose j(a) = 0. What is a?
-1, 0, 3
Let u(t) be the third derivative of 0 - 41*t**2 - 3/70*t**5 - 1/280*t**6 + 15/56*t**4 + 0*t - 4/7*t**3. Factor u(l).
-3*(l - 1)**2*(l + 8)/7
Let c(u) be the second derivative of u**4/8 - 1697*u**3 + 8639427*u**2 + 5644*u + 1. Suppose c(x) = 0. Calculate x.
3394
Suppose 1/3*u**2 + 183 + 70/3*u = 0. What is u?
-61, -9
Suppose 76 = -29532*c + 29570*c. Factor -1/4*m**3 - 1369/4 - 75/4*m**c - 1443/4*m.
-(m + 1)*(m + 37)**2/4
Let w(j) = -j**3 + 9*j**2 + 2*j - 9. Let d be w(5). Suppose -101 + d = -9*c. Solve -4/3*k + 4/3*k**3 + 0*k**2 + c = 0 for k.
-1, 0, 1
Factor -2247264/5*c + 3672/5*c**2 + 458441856/5 - 2/5*c**3.
-2*(c - 612)**3/5
Let -651*f + 1780*f + 542*f**3 + 28911 + 1335 + 13142*f - 420*f**2 - 539*f**3 = 0. Calculate f.
-2, 71
Solve -340/7*k**2 + 36/7*k**3 + 864/7*k - 320/7 = 0 for k.
4/9, 4, 5
Let t(z) be the third derivative of -z**8/3024 - z**7/630 + z**5/135 + z**2 + 3*z. Factor t(p).
-p**2*(p - 1)*(p + 2)**2/9
Factor 2*g**2 + 124 + 12*g - 397 + 71 + 92.
2*(g - 5)*(g + 11)
Let y(j) = -609*j**2 - 615*j + 43. Let b(a) = 203*a**2 + 205*a - 12. Let q(u) = 28*b(u) + 8*y(u). Determine z, given that q(z) = 0.
-1, -2/203
Let z(k) be the second derivative of -22/51*k**3 + 2 + 0*k**2 + 75*k - 1/102*k**4. Find r, given that z(r) = 0.
-22, 0
Let z(k) be the second derivative of -k**6/20 - 471*k**5/40 + 159*k**4/4 - 7233*k. Find t, given that z(t) = 0.
-159, 0, 2
Let q be (100/(-35))/((-6)/21). Let v be ((-2)/q)/((-30)/300). Suppose 4/5*y**5 + 16/5 + 28/5*y**3 - 4*y**4 + 4/5*y**v - 32/5*y = 0. Calculate y.
-1, 1, 2
Suppose -30*s - 19 = -31*s. Let w be (-63)/7 + s + -8. Let 0 + 2/19*y - 12/19*y**3 - 10/19*y**w = 0. Calculate y.
-1, 0, 1/6
Determine b so that -10 + 185/4*b**3 - 13*b**4 + 47*b - 143/2*b**2 + 5/4*b**5 = 0.
2/5, 1, 2, 5
Suppose 0 = 8*f - 6*f - 144. What is v in 1493*v**2 - f - 150*v - 54*v - 1573*v**2 + 100*v**3 = 0?
-3/5, 2
Let b be 60/(-8)*(-14)/35. Determine i so that -4*i**b + 508 - 251 - 260 + i**4 + 4*i + 2*i**2 = 0.
-1, 1, 3
Let z(f) be the first derivative of -51/8*f**2 - 66 + 1/24*f**3 + 2601/8*f. Factor z(j).
(j - 51)**2/8
Let j(u) = 17*u + 496. Let q be j(-29). Suppose -5*h = 2*y - 6, 0 = -5*h - y + q - 0. Factor 40/3*c**2 - 80/3 + 0*c**3 - 5/3*c**4 + h*c.
-5*(c - 2)**2*(c + 2)**2/3
Let h be (-25520)/9280 + -1*373/(-28). Solve 116/7*p - 16/7 - 26/7*p**3 - h*p**2 = 0.
-4, 2/13, 1
Solve 1/5*d**5 + 0*d**2 + 0*d + 9/5*d**4 - 38*d**3 + 0 = 0 for d.
-19, 0, 10
Determine f, given that -1/9*f**2 + 5926/9*f - 8779369/9 = 0.
2963
Let h(r) = -2*r**3 + 78*r**2 - 750*r - 114. Let t be h(21). Determine c, given that -t - 121/3*c**2 + 44*c = 0.
6/11
Let i be 8/(-28) + ((-2082)/14)/1. Let j = i - -149. Factor 1/12*m**3 + 1/3*m + j - 1/3*m**2.
m*(m - 2)**2/12
Let z = -8 + 14. Suppose -y + 2 = l, -4*l + z = 7*y - 2*y. Factor -t**l + 2*t + 5*t**4 + 0*t**3 - 4*t**2 - 2*t**3.
2*t*(t - 1)*(t + 1)*(2*t - 1)
Let c = 18186 + -55040/3. Let d =