z**2 + z + 4. Let q(y) = i*v(y) + 3*d(y). Factor q(u).
-u*(u - 3)
Let o(f) be the first derivative of -2*f**5/95 + 33*f**4/38 - 42*f**3/19 + 31*f**2/19 + 2194. Factor o(i).
-2*i*(i - 31)*(i - 1)**2/19
Let k be (-10)/14 + (-590)/(-826)*(-2)/(12/(-42)). Find q such that -k*q**2 + 32/7 - 20/7*q + 20/7*q**3 - 2/7*q**4 = 0.
-1, 1, 2, 8
Let f be -3 + (450 + 3 - (2 + -2)). Let g be 2/3*f/700. Factor -g + 4/7*p**2 + 11/7*p.
(p + 3)*(4*p - 1)/7
Let m be (-1 - 13/(-5))/((-29)/290). Let r be 2*2/m*0. Factor 10/3*f**2 + r + 32/3*f**3 + 6*f**4 - 4/3*f.
2*f*(f + 1)**2*(9*f - 2)/3
Let p(f) be the third derivative of f**7/420 - f**6/20 + 3*f**5/10 + 3*f**2 + 152. Factor p(s).
s**2*(s - 6)**2/2
Let a(h) be the third derivative of -h**5/360 - 5*h**4/144 + 11*h**3/6 - 92*h**2. Factor a(s).
-(s - 6)*(s + 11)/6
Let l(n) = -14*n**4 + 38*n**3 + 144*n**2 + 216*n. Let o(d) = -2*d**4 + d**3 - d. Let s(v) = l(v) - 8*o(v). Determine b, given that s(b) = 0.
-7, -4, 0
Let x(g) be the third derivative of g**6/160 + 17*g**5/80 + 3*g**4 + 45*g**3/2 + 2*g**2 + 245. Factor x(q).
3*(q + 5)*(q + 6)**2/4
Suppose 0 = 14*y - 57 - 13. Suppose y*m - 27 = -k, 3*k = 46*m - 47*m + 11. Solve 2/5*b**3 - 4*b**2 - 8/5*b + 8/5*b**4 + 2/5*b**m + 16/5 = 0.
-2, 1
Let u(m) = -18*m**2 - 12616*m + 130. Let s(h) = -2*h**2 - 1402*h + 15. Let g(b) = 52*s(b) - 6*u(b). Factor g(q).
4*q*(q + 698)
Let l(j) = 10*j**2 - 1705*j - 5. Let n(m) = 17*m**2 - 2556*m - 8. Let o(h) = -8*l(h) + 5*n(h). Factor o(k).
5*k*(k + 172)
Let t = 86518 + -86515. Factor -8/9*c**2 + 0 + 0*c - 4/9*c**t + 4/9*c**4.
4*c**2*(c - 2)*(c + 1)/9
Let b(i) = 16*i. Let m be b(-4). Let n be (m/72)/(4/(-18)). Find r, given that 30*r - 9 - n*r**2 + 18*r**3 - 3*r**4 - 33*r**2 + r**2 = 0.
1, 3
Suppose -6*p + 5*n = -20 - 12, -5*p - 2*n + 2 = 0. Suppose -21*o + 368 = p*o. Factor -o - 16*c - 1/2*c**3 - 5*c**2.
-(c + 2)*(c + 4)**2/2
Suppose -4*z + 452 = f, -5*z - 35*f + 36*f = -556. Factor 34*c - z*c + 33*c**2 - 500 + 548 - 3*c**3.
-3*(c - 8)*(c - 2)*(c - 1)
Let u(v) = 9 + 8 - 3*v**4 - 16 + v**3 + 4*v**4. Let d(w) = 2*w**5 - 9*w**4 - 21*w**3 - 16*w**2 - 6*w - 9. Let y(a) = -2*d(a) - 18*u(a). Factor y(h).
-4*h*(h - 3)*(h + 1)**3
Let t = -11 - -15. Let a = 190 - 187. Factor -3*u + a*u - 11*u**3 + t*u + 16*u**5 - 16*u**4 - u**3 + 8*u**2.
4*u*(u - 1)**2*(2*u + 1)**2
Let j = -6 + 11. Factor k**3 + 2*k**2 + 4*k**3 - 2*k**3 - 3*k**5 + k**5 + k**j.
-k**2*(k - 2)*(k + 1)**2
Let k be (17 - -6) + -3 + (-1)/1. Suppose -k*s + 18*s = -2. Factor 0*z**s - z**2 - 46*z + 48*z - z**3.
-z*(z - 1)*(z + 2)
Factor 1/3*y**2 + 701/3*y - 234.
(y - 1)*(y + 702)/3
Let w(u) = 6*u**3 + 1324*u**2 + 5070*u + 10. Let r(z) = -2*z**3 - 440*z**2 - 1689*z - 3. Let a(o) = -20*r(o) - 6*w(o). Factor a(k).
4*k*(k + 4)*(k + 210)
Let d = 174 - 171. Find y such that d - 6 + 1381*y**2 + 9*y**4 - 1363*y**2 + 24*y**3 = 0.
-1, 1/3
Let m = -34/151 - -219/302. Let d(g) = -g**3 + 14*g**2 - 11*g - 26. Let z be d(13). Factor u + z - m*u**3 + 1/2*u**2.
-u*(u - 2)*(u + 1)/2
Let v(a) be the first derivative of 2*a**2 - 1/10*a**4 + 0*a - 183 - 86/45*a**3. Factor v(d).
-2*d*(d + 15)*(3*d - 2)/15
Suppose 9*u = 14*u - 20. Suppose 9*b = 4*b + 3*l + 13, 3*b - 10 = u*l. Solve b*z**3 - 2*z**5 + 6*z**2 + 4*z**5 + 3*z - 11*z - 6*z**4 + 4*z = 0 for z.
-1, 0, 1, 2
Factor -64/3*n**3 - 592/3*n**2 - 363*n - 189.
-(n + 7)*(8*n + 9)**2/3
Let q be 2541/308 + (-805)/100. Find b such that 0 - 1/5*b**2 + 0*b + q*b**3 = 0.
0, 1
Factor -8748 - 170*h**2 + 4*h**3 + 2880*h - 1387 - 2665 - 22*h**2.
4*(h - 20)**2*(h - 8)
Let q(c) = -c**2 - 7*c - 9. Let v be q(-4). Suppose 0 = v*b - 532 + 73. Factor b - 8*j**2 - 48*j**3 - 21*j**4 - 4*j**2 - 153.
-3*j**2*(j + 2)*(7*j + 2)
Let m = -34171/1740 - -570/29. Let s(l) be the third derivative of 0*l - 25/6*l**3 - 5/12*l**4 - 8*l**2 - m*l**5 + 0. Factor s(z).
-(z + 5)**2
Let i(y) = -2*y**2 - 6*y + 4. Suppose 0 = 24*x + 14 + 22 + 60. Let c(o) = 4*o**2 - 4 - 5*o + 12*o - 2*o**2. Let d(r) = x*c(r) - 5*i(r). Factor d(a).
2*(a - 1)*(a + 2)
Find u, given that 212/3 + 220/3*u**2 + 4/3*u**3 + 428/3*u = 0.
-53, -1
Factor 2/3*k**3 + 0 + 214326*k - 756*k**2.
2*k*(k - 567)**2/3
Let n(q) be the third derivative of q**6/1140 - 2*q**5/285 - 31*q**4/57 - 224*q**3/57 - 446*q**2 + 2*q. Factor n(f).
2*(f - 14)*(f + 2)*(f + 8)/19
Suppose -269214*a**3 - 58*a + 114*a**2 + 2*a**4 - 4*a**4 + 269160*a**3 = 0. Calculate a.
-29, 0, 1
Factor 342 - u**2 + 4*u**2 - 389*u - 2*u**2 + 500*u - 2*u**2.
-(u - 114)*(u + 3)
Factor -117*s - 324 - 244*s**2 - 2*s + 23*s + 24*s**3 + 325*s**2.
3*(s - 2)*(s + 2)*(8*s + 27)
Suppose -2*q = -3*a - 14, -4*q - 28 = 4*a - 2*q. Let d be (-325)/(-35) - (a + 15). Find v such that 18/7 - 12/7*v + d*v**2 = 0.
3
Find h such that -11*h - 260/3 - 1/3*h**2 = 0.
-20, -13
Let p be -1116 + (-4 - -15) - (3 - 2). Let y = -2209/2 - p. Factor y*r**3 + 0*r + 3/4*r**4 + 0 + 3/4*r**2.
3*r**2*(r + 1)**2/4
Solve 28*i**3 - 56 - 244/3*i + 4*i**2 - 4/3*i**4 = 0.
-1, 2, 21
Solve -24 + 6/5*l**2 + 1/5*l**3 - 52/5*l = 0.
-10, -2, 6
Let y = -717485/42 + 17083. Let h(u) be the third derivative of 0*u - 17*u**2 + y*u**4 - 2/21*u**3 - 1/840*u**6 + 1/420*u**5 + 0. Let h(k) = 0. Calculate k.
-2, 1, 2
Let a(g) be the second derivative of -g**4/9 + 82*g**3/3 + 248*g**2/3 - 117*g + 11. Determine r so that a(r) = 0.
-1, 124
Suppose 0 = 16*p - 1293 + 1261. Let u(i) be the second derivative of -3/70*i**5 - 1/21*i**4 + 1/147*i**7 + 0*i**p + 0*i**3 - 3*i + 0 + 0*i**6. Factor u(j).
2*j**2*(j - 2)*(j + 1)**2/7
Let o(r) be the second derivative of -r**7/840 - r**6/72 + r**5/15 + r**4/3 - 26*r. Let w(b) be the third derivative of o(b). Find j such that w(j) = 0.
-4, 2/3
Suppose -6*v + 25 = 1. Determine w, given that -8*w**4 + 27*w**2 + 51*w**v - 210*w**3 - 24*w + 105*w**2 + 32*w**4 = 0.
0, 2/5, 2
Suppose -2 - 28 = -13*u + 7 + 2. Solve -22/5*w**2 + 0 - 4/5*w**4 - 24/5*w + 10*w**u = 0.
-1/2, 0, 1, 12
Let b = -23755 - -23761. Let k(l) be the third derivative of 0 + 34*l**2 - 1/320*l**b + 0*l + 1/40*l**5 + 1/8*l**3 - 5/64*l**4. Find p, given that k(p) = 0.
1, 2
Let f(c) be the third derivative of -16*c**2 + 0 - 1/20*c**5 + 0*c - 9/2*c**3 + 3/4*c**4. Factor f(u).
-3*(u - 3)**2
Let n = 1234 - 2459/2. Let a = -1848 + 3969/2. Suppose -27/2*p**5 + a*p**2 + 84*p + 18 + 159/2*p**3 - n*p**4 = 0. Calculate p.
-1, -2/3, 3
Factor 22930*u**4 - 3*u**5 - 189*u**3 - 268*u**2 - 22879*u**4 + 0*u**2 + 25*u**2.
-3*u**2*(u - 9)**2*(u + 1)
Let x = -131 + 144. Let -136*c**3 - 10*c**4 + x*c**5 - 456*c**2 - 1126*c - 9*c**4 + 406*c - 14*c**5 - 432 = 0. What is c?
-6, -3, -2
Let o(b) be the second derivative of 2*b**6/15 + 44*b**5/5 + 111*b**4 - 6700*b**3/3 + 10000*b**2 + 4918*b. Factor o(p).
4*(p - 4)*(p - 2)*(p + 25)**2
Let d(j) = 21*j**2 - 1720*j - 164. Let n be d(82). Factor -6/7*l**5 + 0 + 18/7*l**4 + 24/7*l**3 + 0*l + n*l**2.
-6*l**3*(l - 4)*(l + 1)/7
Let n(s) be the first derivative of -s**4/28 - 11*s**3/21 + s**2 + 24*s/7 + 3502. What is u in n(u) = 0?
-12, -1, 2
Let z(x) = -4*x**2 - 689*x + 12663. Let n be z(-189). Let n - 38/5*m**3 - 16/5*m**2 + 24/5*m + 8/5*m**4 + 6/5*m**5 = 0. What is m?
-3, -1, 0, 2/3, 2
Find i such that 470*i - 230*i - 2112 - 9*i**3 + 404*i + 32*i**2 + 5*i**3 = 0.
-11, 3, 16
Let k(f) = 4*f**5 + 2*f**4 + 15*f**3 + 3*f**2 - 4*f - 15. Let r(s) = 5*s**5 + 3*s**4 + 16*s**3 + 4*s**2 - 3*s - 19. Let o(n) = -6*k(n) + 5*r(n). Factor o(d).
(d - 1)**3*(d + 1)*(d + 5)
Factor 2/7*f**2 + 118/7*f - 372/7.
2*(f - 3)*(f + 62)/7
Solve 8*b**4 + 0 + 1/6*b**5 - 105/2*b**3 + 0*b + 81*b**2 = 0.
-54, 0, 3
Suppose 1224 = 64*g + 495 + 601. Factor 14/5*q - 1/5 - 49/5*q**g.
-(7*q - 1)**2/5
Suppose 20 = 3*z - 2*s, -z = 4*z + 4*s - 26. Let t(l) be the second derivative of 0*l**3 + 15/4*l**4 + 3/2*l**5 + 0*l**2 + 1/6*l**z + 0 - 6*l. Solve t(f) = 0.
-3, 0
Let -160 + 210*x**2 - 5*x**3 - 20*x**2 + 42*x**5 - 37*x**5 - 30*x**4 = 0. Calculate x.
-2, -1, 1, 4
Let q(i) = -i**2 - 19*i + 22. Let h(j) = -2*j**2 + 3*j + 24. Let g be h(-4). Let a be q(g). Determine f so that -2*f - 7*f**a + 0*f + 5*f**2 + 0*f = 0.
-1, 0
Let i = 4472 - 4467. Let y(x) be the third derivative of -2*x**2 + 5/32*x**4 + 3/8*x**3 + 1/480*x**6 + 7/240*x**i + 0*x + 0. Determine u, given that y(u) = 0.
-3, -1
Let g be 18*(119/(-1428))/((-4)/24). Factor -1/3*y**3 + 9 - g*y + 3*y**2.
-(y - 3)**3/3
Let