7 + 4*n**5/15 + 72*n**2. Let o(y) be the third derivative of z(y). Factor o(q).
-(q - 20)**2/3
Suppose -42 + 602 = 280*i. Factor 9/5*f**3 + 0 + 6/5*f**i + 3/5*f**4 + 0*f.
3*f**2*(f + 1)*(f + 2)/5
Let m = -303957 - -2127841/7. Determine x so that -32/7*x - m*x**2 + 128/7 + 31/7*x**3 + 2*x**4 + 1/7*x**5 = 0.
-8, -1, 1, 2
Let n(i) be the first derivative of i**4/2 + 34*i**3/3 + 47*i**2 - 130*i - 781. Factor n(a).
2*(a - 1)*(a + 5)*(a + 13)
Let i be 231/10*(3 + (-497)/21). Let z = i + 479. Factor 8/5 - z*x + 2/5*x**2.
2*(x - 2)**2/5
Suppose -5*a + 2*p = -13, 4131*p - 4134*p = 4*a - 15. Suppose -18*m**2 - 180*m - 3/5*m**a - 600 = 0. Calculate m.
-10
Factor 0 + 2/13*s**4 - 510/13*s**2 - 92/13*s**3 + 0*s.
2*s**2*(s - 51)*(s + 5)/13
Let a(l) be the third derivative of -l**5/20 + 9*l**4/8 + 95*l**3 - 5*l**2 - 13. Suppose a(v) = 0. Calculate v.
-10, 19
Let g = 33259 - 138593/4. Let s = 1390 + g. Find t, given that t - s - 1/4*t**2 = 0.
1, 3
Let c = 86 - 81. Suppose c*t = 137 - 122. Solve 64*o**2 - 2*o - 62*o**2 - 3*o - 6 + o**t = 0 for o.
-3, -1, 2
Suppose -3*p + 5*f + 63 = -540, p - 208 = 4*f. Let m be (-7)/(p/58) - (-10)/4. Find h such that -9/7 + 12/7*h - m*h**2 = 0.
1, 3
Let y(o) be the second derivative of o**7/630 + 27*o**4/4 - 27*o - 2. Let l(v) be the third derivative of y(v). Factor l(u).
4*u**2
Suppose 4*w = -i + 13, -8 = 3*i + 5*w - 33. Suppose -i*c + 1 = -9. Determine u, given that 3*u**2 + 3*u**3 - 5*u**4 + 0*u**c - 3*u + 2*u**4 = 0.
-1, 0, 1
Factor -79/5*f**2 - 137/10*f - 21/5 - 36/5*f**3 - 4/5*f**4 + 1/10*f**5.
(f - 14)*(f + 1)**3*(f + 3)/10
Factor 9*b + 1489 - 1453 - 3*b**2 + 2*b**2.
-(b - 12)*(b + 3)
Let l(h) = -h**2 + 88*h - 172. Let b be l(86). Let d(j) be the second derivative of 1/4*j**4 + 10*j + 3/40*j**5 + 0 + 1/4*j**3 + b*j**2. Factor d(f).
3*f*(f + 1)**2/2
Suppose -5*m - 4*s - 6 = -6*s, 12 = -m + 4*s. Determine t so that m + 0*t + 0*t**2 + 2/3*t**3 - 1/3*t**5 + 1/3*t**4 = 0.
-1, 0, 2
Factor 20 + 81*o + 483 + 6*o**2 - 2*o**2 + 211*o + 65.
4*(o + 2)*(o + 71)
Let k(r) be the first derivative of r**4/20 + 11*r**3/3 + 412. Let k(h) = 0. What is h?
-55, 0
Suppose 0 = c - 4*t + 24, -322*t - 24 = 2*c - 326*t. Let i(s) be the first derivative of -6 + c*s + 5/6*s**3 - 3/8*s**4 - 1/2*s**2. Factor i(g).
-g*(g - 1)*(3*g - 2)/2
Suppose d - 5*d = -5*j + 173, -d = -3. Let c(f) = -f + 37. Let m be c(j). Solve -7/4*v**5 + 1/2*v**2 + 0*v + m - 3*v**4 - 3/4*v**3 = 0.
-1, 0, 2/7
Let l(z) be the third derivative of z**7/252 - z**6/48 - 29*z**5/72 + 5*z**4/48 + 35*z**3/9 + 294*z**2. What is r in l(r) = 0?
-4, -1, 1, 7
Suppose -7*k + 264 = 12. Let -k - 10*p**2 + 65*p**3 + 10 + 26 - 110*p**4 + 40*p**5 = 0. Calculate p.
0, 1/4, 1/2, 2
Factor -152/7*c + 2/7*c**2 - 312/7.
2*(c - 78)*(c + 2)/7
Let c = 23669 - 23669. Let x(t) be the third derivative of 1/88*t**4 + 0 + c*t - 1/1320*t**6 + 0*t**5 + 1/33*t**3 + 22*t**2. Factor x(r).
-(r - 2)*(r + 1)**2/11
Let n(v) = v**4 - v**3 - 12*v**2. Let y(s) = -3*s**5 - 9*s**4 + 33*s**3 - 42*s**2 - 33*s + 18. Let w(f) = 3*n(f) - y(f). Factor w(c).
3*(c - 1)**3*(c + 1)*(c + 6)
Let u = 455 + 2237. Find z, given that -1587*z**3 - 8*z**2 - 1125*z**5 + 20*z + u*z**3 - 300*z**4 + 308*z**2 = 0.
-1, -2/15, 0, 1
Let m = 50655 - 359288/7. Let x = -671 - m. Let -z - x - 1/7*z**2 = 0. Calculate z.
-6, -1
What is l in -2/17*l**4 - 108/17*l**2 + 576/17 + 30/17*l**3 - 64/17*l = 0?
-2, 4, 9
Let -4*k**2 - k**2 - 1355*k + 575160 - 576510 = 0. Calculate k.
-270, -1
Let o(d) be the first derivative of -d**9/1512 + d**8/280 - d**7/210 - 40*d**3/3 - 97. Let q(c) be the third derivative of o(c). Factor q(y).
-2*y**3*(y - 2)*(y - 1)
Let v(p) = 3*p**3 - 23*p**2 - 3*p + 1. Let h be v(8). Determine o so that h*o + 36*o**2 - 2*o**4 - 34*o + 17 + 13 + 57*o = 0.
-3, -1, 5
Let n be 4/(-1) - (-5)/((-5)/(-6)). Factor 2*a**2 - 14*a**2 - 81 + 84*a + 9*a**n.
-3*(a - 27)*(a - 1)
Let d(y) be the first derivative of -y**4/30 - 32*y**3/45 - 13*y**2/15 + 4*y - 442. Suppose d(m) = 0. What is m?
-15, -2, 1
Let k(l) be the third derivative of l**8/126 + l**7/315 - l**6/360 + 13*l**2 - 3*l - 1. Factor k(h).
h**3*(2*h + 1)*(4*h - 1)/3
Suppose -9 = 3*p - 24. Determine w so that p*w**2 + 10*w**2 + 29*w + 31*w - 12*w**2 = 0.
-20, 0
Let o = 10 + -10. Suppose o*v + 12 = 4*v. Factor -5*z**2 + 5 + 7*z**v - 6*z + z - 13*z**3 + 11*z**3.
5*(z - 1)**2*(z + 1)
Let c = 254674 - 764021/3. Factor -1/3*k**2 - c*k + 2.
-(k - 2)*(k + 3)/3
Let y(r) = 4*r**2 + 10*r + 26. Let x be y(-5). Let j = -74 + x. Factor 0*v**j + 9*v**2 - 9*v**2 + 3*v**2.
3*v**2
Let c(f) be the third derivative of -f**6/210 + 7*f**5/15 - 92*f**4/21 + 120*f**3/7 - 1382*f**2. Factor c(r).
-4*(r - 45)*(r - 2)**2/7
Let t = 2958 - 2958. Let r(l) be the second derivative of -1/8*l**4 - 1/2*l**3 - 3/4*l**2 + t + 2*l. Determine j so that r(j) = 0.
-1
Let d(a) be the first derivative of -5/3*a**3 - 1/10*a**5 - 2*a**2 - 3*a - 2/3*a**4 + 21. Let r(w) be the first derivative of d(w). What is u in r(u) = 0?
-2, -1
Let m(a) be the second derivative of a**7/84 + a**6/6 + 37*a**5/40 + 8*a**4/3 + 13*a**3/3 + 4*a**2 + 1371*a. Let m(u) = 0. What is u?
-4, -2, -1
Let y(a) = 23*a**4 - 143*a**3 - 796*a**2 + 8*a + 24. Let n(c) = 8*c**4 - 48*c**3 - 266*c**2 + 3*c + 9. Let m(q) = 8*n(q) - 3*y(q). Let m(g) = 0. Calculate g.
-4, 0, 13
Factor 6 - 825/2*s - 207/2*s**2.
-3*(s + 4)*(69*s - 1)/2
Let a(r) be the second derivative of -11/21*r**3 + 4*r + 2/21*r**4 - 6 - 3/7*r**2. Factor a(v).
2*(v - 3)*(4*v + 1)/7
Factor -230 + 39152*y**2 - 57*y - 39151*y**2 + 227*y - 114.
(y - 2)*(y + 172)
Let q = -26 + 29. Suppose 16*x - 6*x = 30. Let -3*f - 8*f**x + 8*f**3 + 3 - q*f**2 + 0*f**3 + 3*f**3 = 0. Calculate f.
-1, 1
Let h = 71357 + -71354. Find y, given that -9/10*y**2 + 1/5*y + 1/10*y**4 + 9/10*y**h + 0 - 3/10*y**5 = 0.
-2, 0, 1/3, 1
Let d(f) be the third derivative of 3/4*f**4 + 0*f - 9/2*f**3 + 0 + f**2 - 1/20*f**5. Let s(i) = 3*i**2 - 18*i + 27. Let g(n) = -7*d(n) - 6*s(n). Factor g(c).
3*(c - 3)**2
Let u(k) be the third derivative of -k**7/525 - 79*k**6/300 + k**5/150 + 79*k**4/60 - 2*k**2 + k - 314. What is h in u(h) = 0?
-79, -1, 0, 1
Let d(w) = 178*w**2 + 6*w - 6. Let y be d(4). Let 0*n - 2*n**3 - 2850*n**2 + y*n**2 - 24*n = 0. Calculate n.
0, 2, 6
Let k(f) = 3*f**2 + 24*f - 30. Let x(c) = 0*c**2 - 2*c**2 + 28 - 6*c**2 + 5*c**2 - 23*c. Let u(p) = -2*k(p) - 3*x(p). Factor u(y).
3*(y - 1)*(y + 8)
Let r(w) be the second derivative of w**6/70 - 9*w**5/70 - 99*w**4/28 + 162*w**3/7 + 4374*w**2/7 - w + 342. Factor r(u).
3*(u - 9)**2*(u + 6)**2/7
Let a be (6 - 0)*-69*8/12. Let v = a + 829/3. Solve 0 - 1/3*j + v*j**2 = 0 for j.
0, 1
Factor -1/3*h**2 - 96721/3 - 622/3*h.
-(h + 311)**2/3
Let o be (-1 - -2)*(1*-2 + -2). Let k be ((-72)/360)/(o/50). Factor 0 + 5/2*x**3 - k*x**4 - 5/2*x**5 + 0*x + 5/2*x**2.
-5*x**2*(x - 1)*(x + 1)**2/2
Let h be (-4782)/(-98031) - (-104)/1230. Factor -4/15*q**3 + 0 - h*q**2 + 2/15*q.
-2*q*(q + 1)*(2*q - 1)/15
Let u(o) be the second derivative of -o**4/54 - 197*o**3/27 + 22*o**2 - 994*o. Factor u(h).
-2*(h - 1)*(h + 198)/9
Let h be (9/(-15))/((-36)/(-20))*-6. Factor -14/3*z + 2/3*z**h + 0.
2*z*(z - 7)/3
Suppose 0 = 3*x - 4*u + 5, 3*u + 9 + 10 = -x. Let z(m) = 2*m + 14. Let r be z(x). Find c, given that r*c**4 - c**4 - 72*c + 3*c**2 + 70*c = 0.
-2, 0, 1
Let d(l) be the third derivative of l**6/225 + l**5/150 - l**4/30 + 61*l**3/3 - 4*l**2 - 15. Let v(c) be the first derivative of d(c). Solve v(w) = 0 for w.
-1, 1/2
Let c be 236/16 + (-1)/(-4). Let b be -6 + 7 - 3 - (-36)/6. Factor 20*i - c*i - b*i + 2 - i**2.
-(i - 2)*(i + 1)
Let c(q) be the third derivative of -1/75*q**5 + 0*q - 1/60*q**4 + 1/300*q**6 + 2/15*q**3 + 0 - 111*q**2. Factor c(f).
2*(f - 2)*(f - 1)*(f + 1)/5
Let d(a) = 14*a**4 + 106*a**3 - 1778*a**2 + 1724*a - 22. Let i(f) = 2*f**4 + 15*f**3 - 254*f**2 + 246*f - 3. Let v(w) = 6*d(w) - 44*i(w). Solve v(t) = 0.
-15, 0, 1, 8
Let k(z) = z**2 - 12*z - 28. Let l(f) = -f**2 + 11*f + 26. Let a(x) = -7*k(x) - 6*l(x). What is c in a(c) = 0?
-2, 20
Let z(a) be the first derivative of -a**8/7560 - a**7/540 - a**6/180 + a**5/20 + a**4/2 + 57*a**3 + 167. Let j(c) be the third derivative of z(c). Factor j(d).
-2*(d - 2)*(d + 3)**3/9
Determine a, given that 127*a + 19621*a**4 + 897*a**2 - 1123*a + 180 - 19594*a**4 - 276*a**3 