 - 3827*a. Factor d(p).
2*(p - 2)*(p + 149)/11
Let t(w) be the third derivative of 1/60*w**6 + 0 + 0*w**3 + 0*w - 7/15*w**5 + 0*w**4 + 2*w**2. Find m such that t(m) = 0.
0, 14
Let a be 7/17*(10 - 680/70). Determine b so that 8/17 + 8/17*b + a*b**2 = 0.
-2
Factor 277*y**2 - 388*y + 24 + 423*y**2 + 167*y - 408*y - 783*y.
4*(y - 2)*(175*y - 3)
Suppose -137*d + 480 = -132*d. Suppose 2*s + 90 = d. Suppose 32/9 - 10/9*p**s + 2/9*p**5 + 50/9*p**2 - 10/9*p**4 + 80/9*p = 0. What is p?
-1, 4
Let k(i) be the first derivative of 243*i**4/4 + 15507*i**3 + 10320*i**2 + 2292*i + 2577. Factor k(b).
3*(b + 191)*(9*b + 2)**2
Let i(l) be the second derivative of 2*l**2 - 65*l - 1/2*l**4 + 1/10*l**5 + 1/15*l**6 - 1/3*l**3 - 1. Factor i(w).
2*(w - 1)**2*(w + 1)*(w + 2)
Let y be (-1830)/21350*35/(-2). Solve -3/2*k + y*k**3 + 0 + 0*k**2 = 0.
-1, 0, 1
Let j be -3 - (-9)/(9/8). Determine s, given that -48*s**5 - 50*s**j + 69*s**3 - 3*s - 32*s**2 + 7*s + 7*s**4 = 0.
-1, 0, 2/7, 1/2
Let s(f) be the second derivative of f**6/120 - 3*f**5/4 - f**4/16 + 91*f**3/12 - 15*f**2 + 318*f. Determine g so that s(g) = 0.
-2, 1, 60
Let r = -413445 - -413445. Factor r - 4*v**4 - 5/2*v - 8*v**2 - 1/2*v**5 - 9*v**3.
-v*(v + 1)**3*(v + 5)/2
Let d(u) = 8*u - 6*u + 1 + 0*u - 3*u. Let j(x) = 2*x**2 - 6*x + 4. Let p(a) = 2*d(a) - j(a). Factor p(z).
-2*(z - 1)**2
Let p be (0 - 0)/(46/(-322)*-14). Factor 1/4*c + 11/8*c**4 + 7/8*c**2 - 5/2*c**3 + p.
c*(c - 1)**2*(11*c + 2)/8
Suppose -4*l - 9*l + 624 = 0. Let t be -4 - l/(-10) - 32/(-10). Factor 0 + 0*h**t - 2/3*h**5 - 4/3*h**2 + 0*h + 2*h**3.
-2*h**2*(h - 1)**2*(h + 2)/3
Let x be (-2*24/16)/(-1). Find h such that 7*h**2 + 420*h - h**2 - 7*h**2 - 78*h**x + 9*h**4 - 300 + 94*h**2 = 0.
-2, 2/3, 5
Suppose -4 = -r, 0*p = -3*p + 2*r + 40. Let l(v) = v - 1. Let f be l(3). Let -y**3 + 11*y - 6 - p*y**2 - 11*y**3 - 34*y - 13*y**f = 0. What is y?
-1, -3/4, -2/3
Let l(f) be the second derivative of -3*f**5/20 + 21*f**4/4 + 11*f**3 - 328*f. Factor l(z).
-3*z*(z - 22)*(z + 1)
Let y(d) be the second derivative of 5*d**4/12 - 100*d**3/3 - 2*d - 40. Solve y(u) = 0 for u.
0, 40
Let x(w) be the second derivative of w**5/4 + 275*w**4/2 + 45375*w**3/2 + 28*w + 13. Factor x(k).
5*k*(k + 165)**2
Let u(c) be the first derivative of -c**4/4 + 8*c**3/3 - 6*c**2 - 942. Suppose u(a) = 0. What is a?
0, 2, 6
Let m(x) be the first derivative of 0*x**3 + 0*x - 35 + 0*x**2 - 32/45*x**5 + 7/27*x**6 + 2/9*x**4. Factor m(a).
2*a**3*(a - 2)*(7*a - 2)/9
Let f(z) be the first derivative of z**6 + 40*z**5 + 272*z**4 - 3540*z**3 - 2147*z**2 + 7220*z + 924. Let f(c) = 0. Calculate c.
-19, -1, 2/3, 5
Let s(a) be the second derivative of 9/5*a**2 + 109*a + 11/30*a**3 + 1/60*a**4 + 0. Factor s(z).
(z + 2)*(z + 9)/5
Find l, given that -117/7*l**4 + 486/7*l**3 + 0*l + 0 + 432/7*l**2 + 4/7*l**5 = 0.
-3/4, 0, 6, 24
Factor -26*d**3 - 3*d**2 + 42*d**2 - 211 + 27*d**3 + 277*d + 49*d + 715.
(d + 2)*(d + 9)*(d + 28)
Solve 4200 + 12605*o + 125*o**4 + 17694*o**2 - 343*o**4 + 4215*o**3 + 101*o**4 - 5079*o**2 + 122*o**4 = 0 for o.
-840, -1
Let k = 7065979/19 + -371893. Factor -18/19*l**2 - 58/19*l - k.
-2*(l + 3)*(9*l + 2)/19
Let d(o) = -37*o + 1075. Let w be d(29). Let n(s) be the first derivative of -1/2*s**4 + 6/13*s**3 + 0*s + 19 - 2/13*s**w + 12/65*s**5. Solve n(b) = 0 for b.
0, 1/2, 2/3, 1
Let h = 141/6938 + 48143/20814. Find m, given that -2*m - h*m**2 + 0*m**3 + 1/3*m**4 + 0 = 0.
-2, -1, 0, 3
Let s(i) be the first derivative of -i**3/5 + 1629*i**2/5 - 884547*i/5 - 210. Factor s(k).
-3*(k - 543)**2/5
Suppose 1 = p - 15. Suppose 6*y - 100 - 44 = 0. Solve -24*x**2 - y*x**4 - 4*x**5 + 18*x**5 - 42*x**4 - p*x + 92*x**3 = 0.
-2/7, 0, 1, 2
Let w(l) be the first derivative of 7*l**4/78 - 5*l**3/13 + 2*l**2/13 + 14*l - 52. Let x(b) be the first derivative of w(b). Factor x(d).
2*(d - 2)*(7*d - 1)/13
Suppose -5*x - 3*j = -0*j - 1623, -j + 1304 = 4*x. Factor -313*z + 655*z + 5*z**2 - x*z.
5*z*(z + 3)
Suppose 2*x = -4*z + 10, 0 = 3*x + z + 122 - 137. Let l(k) be the first derivative of 0*k**2 - 1/5*k**4 + 0*k + 2/25*k**x - 14 + 2/15*k**3. Factor l(j).
2*j**2*(j - 1)**2/5
Suppose -14*r = -0*r + 140. Let l be (-4)/14*14/r. Determine a, given that 0*a**3 + 0*a**2 + 0 - 2/5*a**4 + 0*a + l*a**5 = 0.
0, 1
Suppose -26*h = -30*h - 88. Let d be 2 - (-7)/(-4) - h/8. Factor i**3 + 4*i**4 - d*i**2 - 2*i**2 + i**4 + 5*i - 6*i**3.
5*i*(i - 1)**2*(i + 1)
Suppose -13 + 5*k**2 + 12 + 1 - 13*k - 6*k**2 + 14 = 0. Calculate k.
-14, 1
Suppose 105 - 211 = -109*r + 439. Let i(z) = -7*z**2 + 6 + 0 + 0*z**2 - 2*z. Let q(f) = -f**2 + 1. Let v(w) = r*i(w) - 30*q(w). Find p such that v(p) = 0.
-2, 0
Let p = 2279/11545 - -6/2309. Let a(n) be the second derivative of 3/50*n**5 + 1/50*n**6 + 0*n**2 + 12*n - p*n**3 - 1/20*n**4 + 0. Factor a(y).
3*y*(y - 1)*(y + 1)*(y + 2)/5
Let h(w) = 7*w - 25. Let m(v) = -v**3 - 20*v**2 - 2*v - 36. Let j be m(-20). Let q be h(j). Find t such that -3*t + 21*t + 462 + q*t**2 - 447 = 0.
-5, -1
Let p(c) be the second derivative of -33*c**3 - 258*c + 1/4*c**4 - 2 + 3267/2*c**2. Factor p(y).
3*(y - 33)**2
Let x be 6/28 - 16428/76664. Factor -3/5*p**2 - 27/5*p**4 + 0 + x*p + 12/5*p**5 + 18/5*p**3.
3*p**2*(p - 1)**2*(4*p - 1)/5
Suppose -g - 22 = 28. Let n = g + 55. Factor -8 + 38*t**3 - 10*t**4 + 32*t - 5*t**4 + 5*t**4 - 50*t**2 + 2*t**n - 4*t**4.
2*(t - 2)**2*(t - 1)**3
Suppose -17*c = -1183 + 1115. Let b(n) be the third derivative of -21*n**2 - 4/27*n**3 + 5/108*n**c + 0*n + 0 - 1/270*n**5. Suppose b(t) = 0. Calculate t.
1, 4
Let k be 7/2*(-11 + 47 + -10). Factor 4*w**3 + 6*w**2 + 94*w - w**3 - k*w.
3*w*(w + 1)**2
Let p(j) = 66*j**3 - 282*j**2 + 4358*j - 22344. Let c(v) = -20*v**3 + 94*v**2 - 1453*v + 7448. Let b(t) = 20*c(t) + 6*p(t). Suppose b(y) = 0. What is y?
14, 19
Suppose -5*b - 62*m = -64*m + 4, -5*b = 4*m - 38. Let r(y) be the first derivative of -7 - 9/16*y**4 + 3*y + 13/4*y**3 - 6*y**b. Find o, given that r(o) = 0.
1/3, 2
Let m be 6/21*-1*21/(-135). Let u(o) be the first derivative of -m*o**3 + 2 + 1/5*o**2 - 4/15*o. Determine i, given that u(i) = 0.
1, 2
Let j(k) be the second derivative of -5/14*k**3 + 9/14*k**2 + 3/140*k**5 + 2 - 59*k + 1/28*k**4. Solve j(f) = 0 for f.
-3, 1
Let p = -55694 + 278494/5. Find f, given that -22/5*f**2 - 26/5*f**3 + p - 2/5*f**4 + 26/5*f = 0.
-12, -1, 1
Suppose 2*q + 5*i = -69, 398*i + 117 = 4*q + 391*i. Factor -5/2*m**q + 1000 - 1100*m + 205/2*m**2.
-5*(m - 20)**2*(m - 1)/2
Let f(a) be the first derivative of 2*a**3/45 + a**2 - 152*a/15 + 4173. Let f(b) = 0. Calculate b.
-19, 4
Factor 18*m + 2/7*m**2 - 128/7.
2*(m - 1)*(m + 64)/7
Let v(j) be the first derivative of -1/18*j**3 - 1/6*j + 229 - 1/6*j**2. Factor v(d).
-(d + 1)**2/6
Let l(t) be the first derivative of -2*t**5/95 - 7*t**4/19 - 24*t**3/19 - 34*t**2/19 - 22*t/19 + 2502. Solve l(f) = 0 for f.
-11, -1
Let s(y) be the third derivative of y**5/90 + y**4 + 36*y**3 + 66*y**2 + 3. Factor s(c).
2*(c + 18)**2/3
Let z = 311 + -309. Factor -3*d**4 + 81*d + 4 + z - 44*d - 3*d**2 + 9*d**3 - 46*d.
-3*(d - 2)*(d - 1)**2*(d + 1)
Suppose 8*v + 3*g = 5*v + 1032, -5*v + 1718 = 3*g. Let o = 345 - v. Factor 0 + 9/2*a - 6*a**o.
-3*a*(4*a - 3)/2
Let w(i) = 44*i**2 - 20*i + 1224. Let k(h) = -4*h**2 - 3*h + 2. Let m(p) = 12*k(p) + w(p). Let m(x) = 0. Calculate x.
-26, 12
Suppose 42*w = 29 + 49 + 6. Let p(h) be the second derivative of 0*h**3 + 1/35*h**5 - 3*h + 0*h**w + 0 + 1/14*h**4 - 1/105*h**6. Determine o so that p(o) = 0.
-1, 0, 3
Let c(z) be the second derivative of z**5/5 + 22*z**4/3 - 94*z**3/3 + 48*z**2 - 6279*z. Factor c(s).
4*(s - 1)**2*(s + 24)
Let s = -197 + 200. Factor 77 - 17 - 155*x - s*x**4 - 45*x**3 + 14*x**4 + 135*x**2 - 6*x**4.
5*(x - 4)*(x - 3)*(x - 1)**2
Let p(l) be the third derivative of l**5/450 + 383*l**4/18 + 733445*l**3/9 + 45*l**2 + 8*l. Factor p(a).
2*(a + 1915)**2/15
Let s(x) be the second derivative of -2*x**7/21 - 1048*x**6/5 - 619364*x**5/5 - 1230878*x**4/3 + 412910*x**3 + 2464900*x**2 + 4999*x. Let s(f) = 0. Calculate f.
-785, -2, -1, 1
Suppose 10 = -2*r - 0, -109 = 4*k + 5*r. Let v be 11 - k/6*(-4)/14. Let 3*x**3 - 3*x - 40 - 17*x + 2*x**3 + v*x**2 = 0. What is x?
-2, 2
Let s(t) be the third derivative of 0*t + 0*t**3 + 0*t**4 + 2*t**2 - 1/60*t**6 - 1/945*t**7 + 16 + 0*t**5. Factor s(k).
