he first derivative of -35*k**4/4 - 1375*k**3/3 + 505*k**2 + 400*k + 5542. Factor l(x).
-5*(x - 1)*(x + 40)*(7*x + 2)
Let c(g) be the second derivative of 8/51*g**3 + 0*g**5 + 1/255*g**6 + 3 - 13*g - 1/17*g**4 - 3/17*g**2. Solve c(h) = 0 for h.
-3, 1
Let k = 8313/102320 + 8/1279. Let l(s) be the second derivative of -5/6*s**3 - k*s**5 + 0 + s**2 - 13/24*s**4 + 2*s. Factor l(x).
-(x + 2)**2*(7*x - 2)/4
Let x(l) = 14*l**2 - 6*l + 7. Let b be x(1). Factor 23*k**3 + 12*k - b*k**3 - 24*k**2 - k**4 + 20*k - 16.
-(k - 2)**4
Solve -206*p + 88*p**4 + 56*p - 102*p - 4*p**5 - 64*p**3 - 408*p**2 = 0.
-1, 0, 3, 21
Factor -2/13*m**4 + 0*m**2 + 0 - 128/13*m**3 + 0*m.
-2*m**3*(m + 64)/13
Suppose x - 8 = 2*o - 1, -5*x - 4*o = -21. Let t**5 - t**x + 5*t**5 - 37*t**4 + 7*t**4 + 25*t**3 = 0. Calculate t.
0, 1, 5
Determine z, given that 1/5*z**2 + 419904/5 + 1296/5*z = 0.
-648
Let l(m) be the second derivative of 3/4*m**2 - 27/160*m**5 - 1/8*m**4 + 9/16*m**3 - 20*m + 2. Suppose l(n) = 0. What is n?
-1, -4/9, 1
Suppose -5*p + 9 = -1. Suppose 28 = p*b + 24. Factor 58 - 6*j**2 - 9*j**2 + 7 + 10*j**b + 60*j.
-5*(j - 13)*(j + 1)
Let p = -43114 + 130592/3. Let y = -416 + p. What is s in -1/3*s**3 + 8/3 + 4/3*s - y*s**2 = 0?
-2, 2
Let w be 76/(-19)*3/(6/(-5)). Let r be (-10)/(-25) + 96/w. Determine z so that -3*z - 2*z**3 + 15*z + 8*z**4 - r*z - 8*z**2 = 0.
-1, 0, 1/4, 1
Let l(a) be the first derivative of a**4/36 - 2374*a**3/9 + 2817938*a**2/3 - 13379569624*a/9 - 2963. Solve l(b) = 0.
2374
Let g(d) = 1088*d + 17408. Let p be g(-16). Suppose p - 7/2*j**2 + 0*j + 1/4*j**3 = 0. What is j?
0, 14
Let h(p) be the second derivative of p**7/210 + 7*p**6/150 + 3*p**5/20 + 3*p**4/20 - 3*p - 97. Factor h(q).
q**2*(q + 1)*(q + 3)**2/5
Factor -36*y**2 + 5/3*y**3 + 0 - 44/3*y.
y*(y - 22)*(5*y + 2)/3
Let c = 23055/4 - 23053/4. Factor 0*u + u**2 + 0 - 1/2*u**4 + c*u**3.
-u**2*(u - 2)*(u + 1)/2
Let c be 5064/10 - (42/30 + -1). Suppose 647 = o - c. Factor o*k + 16*k**2 + 4*k**5 - 1153*k - 12*k**4.
4*k**2*(k - 2)**2*(k + 1)
Let i(o) = -2*o + 32. Let l be i(14). Factor -9/2 - l*p + 1/2*p**2.
(p - 9)*(p + 1)/2
Let c(u) = -u - 3 + 599*u**2 - u**3 + 2 - 598*u**2 + 2*u. Let m(h) = -8*h**3 + 12*h + 4. Let a(x) = -12*c(x) + m(x). What is v in a(v) = 0?
-1, 2
Let h(o) be the first derivative of 0*o**2 + 0*o + 4/5*o**5 + 1/6*o**6 + 5/4*o**4 + 2/3*o**3 - 124. Find c, given that h(c) = 0.
-2, -1, 0
Suppose 4*k - 7*y = -10*y + 13, 3*k - 16 = -y. Suppose -3*s = -v + 6, -k*v + 9*s + 23 = 7*s. What is w in -148877/4*w**v + 2 + 8427/2*w**2 - 159*w = 0?
2/53
Let u(s) be the third derivative of 5*s**2 - 11/280*s**6 - 3/784*s**8 - 11/490*s**7 + 1/28*s**4 + 0 + 0*s - 1/140*s**5 + 0*s**3. Suppose u(h) = 0. What is h?
-2, -1, 0, 1/3
Let c be -6 + 6*3/9. Let a be c - ((-4)/1 - 4). Factor -12*l**2 - 10*l - 46*l + a + 146*l**2 + 62*l**2.
4*(7*l - 1)**2
Let t(a) be the third derivative of 2/35*a**7 + 3/224*a**8 - 32 + 0*a**3 + 0*a**4 + 3/80*a**6 - 1/20*a**5 - a**2 + 0*a. Find d, given that t(d) = 0.
-2, -1, 0, 1/3
Let o(d) = -7*d**2 + 1633*d + 3232. Let i(u) = 23*u**2 - 4910*u - 9695. Let z(r) = 2*i(r) + 7*o(r). Let z(a) = 0. Calculate a.
-2, 539
Let a(h) = -h**2 + 21*h + 76. Let k be a(-3). Let m(f) be the first derivative of 1/12*f**k - 1/3*f**3 - 5 + f - 1/6*f**2. Suppose m(s) = 0. Calculate s.
-1, 1, 3
Let t be 741/(-285) + (-3)/((-9)/15). Find s, given that -t - 69/5*s**2 + 21/5*s**3 + 12*s = 0.
2/7, 1, 2
Let f be 117639/(-405) - 4/12. Let p = f + 292. Solve -2/5*i**5 - p*i**4 + 32/5*i**2 + 8/5*i**3 + 0*i - 32/5 = 0.
-2, 1, 2
Let f(v) be the second derivative of -3*v**5/20 - 15*v**4/2 - 149*v**3/2 - 180*v**2 - 310*v. Factor f(g).
-3*(g + 1)*(g + 5)*(g + 24)
Let q(p) be the second derivative of 8*p**7/21 + 32*p**6/15 + p**5 - 55*p**4/3 - 56*p**3 - 72*p**2 - 70*p + 11. Find s, given that q(s) = 0.
-2, -3/2, -1, 2
Let x = 5986 + -5982. Let p(g) be the third derivative of -7/9*g**x + 13*g**2 + 0*g - 2/3*g**3 - 7/45*g**5 + 2/45*g**6 + 0. Factor p(l).
4*(l - 3)*(l + 1)*(4*l + 1)/3
Let v(d) be the second derivative of 0*d**5 + 1/8*d**2 - 1/24*d**4 + 0*d**3 + 1/120*d**6 - 6 + 2*d. Factor v(j).
(j - 1)**2*(j + 1)**2/4
Let r(j) be the third derivative of 0 - 5/6*j**4 - 79*j**2 + 0*j + 1/42*j**7 + 2/3*j**5 + 0*j**3 - 5/24*j**6. Find v such that r(v) = 0.
0, 1, 2
Determine o, given that 0*o**2 - 96*o - 64*o**2 - 114*o**2 + 185 + 4*o**3 + 85 = 0.
-3/2, 1, 45
Let r(s) be the first derivative of 8/39*s**3 + 0*s - 14/65*s**5 + 1/39*s**6 + 6/13*s**4 - 16/13*s**2 + 86. Let r(l) = 0. What is l?
-1, 0, 2, 4
Let c(s) be the first derivative of -48*s**4 + 112*s**3/3 - 49*s**2/6 + 1393. Find k such that c(k) = 0.
0, 7/24
Factor 327 - 3*i**2 + 5229/4*i.
-3*(i - 436)*(4*i + 1)/4
Let l be ((-4)/7)/((-3)/(-7))*3/(-2). Factor -3/5*o**l - 4/5*o - 1/5.
-(o + 1)*(3*o + 1)/5
Let w(s) be the first derivative of 35 + 8*s - 2/3*s**3 + 0*s**2. Factor w(n).
-2*(n - 2)*(n + 2)
Let b(j) = j**2 - 2*j - 6. Let x be b(4). Solve -10*m**4 - 19*m**3 - 8*m**x + 35*m**3 - 11*m**5 + 13*m**5 = 0 for m.
0, 1, 2
Factor i**2 - 56 + 1544*i - 851*i - 913*i - 165.
(i - 221)*(i + 1)
Let p = -2/1595467 + 1595475/6381868. Factor 0 + p*o**2 + 1/2*o - 1/4*o**3.
-o*(o - 2)*(o + 1)/4
Let j be -108*(-1 - (-1)/(-4)). Solve 116*z**4 - 263 - 312*z**3 + 92 + j + 268*z**2 - 28*z**4 - 22*z + 14*z**5 = 0.
-9, -2/7, 1
Let x(s) be the third derivative of s**7/315 - s**6/30 + s**5/10 - 1134*s**2 - 2*s. Suppose x(o) = 0. What is o?
0, 3
Let r(q) = q**3 - 98*q**2 + 144*q - 2. Let s(a) = 2*a**3 - 208*a**2 + 288*a - 5. Let n(h) = 5*r(h) - 2*s(h). Solve n(l) = 0 for l.
0, 2, 72
Let v = 47 + 57. Suppose 12 = -v*i + 106*i. Factor 2/3*u**4 - 8*u + i + 8/3*u**3 - 4/3*u**2.
2*(u - 1)**2*(u + 3)**2/3
Let u(y) = 2*y**2 - 1596*y - 3120. Let m(a) = 3*a**2 - 2396*a - 4676. Let r(c) = -5*m(c) + 8*u(c). Find t, given that r(t) = 0.
-2, 790
Let t be (-2 - (1 + -3))/2. Suppose -15*o + 797 + 4003 = t. Determine k so that 38*k**2 - 144 + o*k + 400 + 62*k**2 = 0.
-8/5
Let q(i) be the first derivative of i - 1/12*i**3 - 1/2*i**2 + 1/16*i**4 + 16. Find d such that q(d) = 0.
-2, 1, 2
Suppose -495 = -15*o + 6*o. Factor 7*p - o + 5*p**2 - 21*p - 42*p + 6*p.
5*(p - 11)*(p + 1)
Let t(p) = -13*p - 32 + 6*p - 50 - 3*p**2 - 59 + 4*p**2. Let s be t(-9). Factor 1/2*g**2 - 1/4*g**s + 0 + 3/4*g.
-g*(g - 3)*(g + 1)/4
Let p(x) be the first derivative of -2/21*x**3 - 62 + 0*x + 2/7*x**2. Find g, given that p(g) = 0.
0, 2
Let x be (1 - 2) + 0 + 4. Suppose 2*j + 18 = 2*f - x*j, 2*f = -4*j. Factor -2*r**3 - 4*r**2 + 8*r + f*r**3 + 4 + 9*r**2 - r**3.
(r + 1)*(r + 2)**2
Let m(n) be the third derivative of 1/72*n**5 - 24*n + 0 - n**2 - 5/24*n**4 + 25/36*n**3. Let m(l) = 0. Calculate l.
1, 5
Let x(q) be the third derivative of -q**7/105 + 13*q**6/30 - 46*q**5/15 - 133*q**4/6 - 49*q**3 + 611*q**2. Factor x(p).
-2*(p - 21)*(p - 7)*(p + 1)**2
Let d be (-3)/6 - 2/(-4). Let i(r) = -53*r - 207. Let s be i(-4). Factor s*z + d*z - z**2 - 3*z**2 - z.
-4*z*(z - 1)
Factor -100*c**3 + 7616930 + 1788*c**2 - 864018 - 266412*c + 96*c**3 + 6478884.
-4*(c - 149)**3
Let w(m) be the second derivative of -10/3*m**3 - 5/12*m**4 - 15/2*m**2 - 6 + m. Suppose w(q) = 0. What is q?
-3, -1
Let x = -189169 + 1324259/7. Solve -24/7 - 20/7*l**3 + x*l - 32/7*l**2 = 0 for l.
-3, 2/5, 1
Let t(n) be the first derivative of -n**6/1620 + n**5/18 - 25*n**4/12 - n**3 - 11*n - 15. Let w(s) be the third derivative of t(s). Find z such that w(z) = 0.
15
Suppose 0 = -79*d + 28*d. Let y(o) be the second derivative of 51/20*o**5 + 0 - 1/4*o**4 - o**3 - 7/5*o**6 - o + d*o**2. Solve y(k) = 0.
-2/7, 0, 1/2, 1
Let o be (-1)/3*(54 + -45). Let k be (-24)/(-392)*7 - o/(-105). Let -4/5 + 2/5*p**2 + k*p = 0. What is p?
-2, 1
Let a(i) be the third derivative of -i**6/540 - 11*i**5/60 - 8*i**4/9 - 19*i**3/2 - 37*i**2. Let k(j) be the first derivative of a(j). Solve k(w) = 0 for w.
-32, -1
Let l = 29 + -25. Suppose -2*s - 3*s + o = -49, 61 = 5*s - l*o. What is n in s*n + n**3 - 4*n + 10*n - 25 + 9*n**2 = 0?
-5, 1
Suppose -v = a - 11, -20 - 7 = -v - 3*a. Let q = -27 - -29. Factor 2/15*z**v + 16/5*z + 24/5 - 22/15*z**q.
2*(z - 6)**2*(z + 1)/15
Let a(l) be the third derivative of -l**6/30 + 11*l**5/15 + 20*l**4/3 + 56*l**3/3 + 12*l**2 + 16*l. Factor a(b).
-4*(b - 14)*(b + 1)*(b 