en that -4/9*d**i - 32/9*d - 28/9 = 0.
-7, -1
Solve -112 - 276/5*h - 282/5*h**4 + 274/5*h**3 + 2/5*h**5 + 842/5*h**2 = 0.
-1, 1, 2, 140
Let c be (-2107)/(-5590) - (-4)/(-52). Let t(z) be the second derivative of 0 + 1/3*z**3 + 1/15*z**6 + c*z**5 + 1/2*z**4 + 0*z**2 - 22*z. Solve t(m) = 0.
-1, 0
Factor -p + 7*p + 20*p - 152*p + 2*p**2 + 44*p.
2*p*(p - 41)
Factor 13*d**4 + 160*d - 9*d**4 + 5*d**5 + 764*d**2 - 924*d**2 - 30*d**3 + 21*d**4.
5*d*(d - 2)*(d - 1)*(d + 4)**2
Let h = -300378 - -91916023/306. Let z = h + 1/153. Factor 1/6*w**2 + w - z.
(w - 1)*(w + 7)/6
Factor -616/3 + 2768/3*h + 6*h**2.
2*(h + 154)*(9*h - 2)/3
Let k(m) be the third derivative of -m**7/525 + 53*m**6/300 + 7*m**5/150 - 377*m**4/60 + 106*m**3/5 + m**2 - 1694*m. Find y such that k(y) = 0.
-3, 1, 2, 53
Let f(z) be the third derivative of -7/1080*z**6 + 3*z**2 + 0*z**3 + 7/270*z**5 + 1/1890*z**7 + 31 - 1/27*z**4 + 0*z. Factor f(c).
c*(c - 4)*(c - 2)*(c - 1)/9
Let d(r) be the third derivative of 0*r**3 + 0*r**4 + 0*r**6 - 1/84*r**8 + 4/15*r**5 + 0 + 3*r**2 - 2/35*r**7 + 2*r. Factor d(f).
-4*f**2*(f - 1)*(f + 2)**2
Let p(a) be the first derivative of 10*a**3/3 + 672*a**2 + 536*a + 4494. Suppose p(x) = 0. Calculate x.
-134, -2/5
Factor -722/7*f + 1/7*f**2 + 0.
f*(f - 722)/7
Let d be (-160)/60*(18 + 0). Let p be (-24)/d + 3/(-12). Suppose 0*s - p*s**3 + 0*s**2 - s**4 + 5/4*s**5 + 0 = 0. Calculate s.
-1/5, 0, 1
Let u(b) be the third derivative of b**6/300 - 53*b**5/50 - 219*b**4/20 + 163*b**3/3 + 8277*b**2. Factor u(n).
2*(n - 163)*(n - 1)*(n + 5)/5
Let t(j) = 131*j + 11793. Let g be t(-90). Factor -2/7*b**2 - 6/7 + 10/7*b - 2/7*b**g.
-2*(b - 1)**2*(b + 3)/7
Let a(p) = -p**2 - 22*p - 116. Let g be a(-8). Let d(l) = -l**3 - 2*l**2 + 1. Let h(x) = 32*x**2 - 48*x + 28. Let z(w) = g*d(w) - h(w). Let z(n) = 0. What is n?
2
Let g = -14 - -28. Suppose 5*c - g = l, 0*l - 5*c = -3*l - 12. Let u(f) = -4*f**3 - 30*f**2 - 74*f. Let i(n) = -n**3 + n. Let s(a) = l*i(a) - u(a). Factor s(w).
3*w*(w + 5)**2
Let t(z) be the second derivative of 21/10*z**3 + 0 + 98*z + 1/100*z**5 + 17/60*z**4 - 81/10*z**2. Factor t(n).
(n - 1)*(n + 9)**2/5
Let z be (5 - (4 - 3)) + 0. Let r(g) = g**2 - 56*g + 193. Let p(c) = -56*c + 192. Let v(s) = z*r(s) - 3*p(s). Factor v(w).
4*(w - 7)**2
Let o = 589891/5 + -117978. Factor -1/5*z**2 - 8/5*z + 12/5 + o*z**3.
(z - 2)**2*(z + 3)/5
Let p(u) = -2243*u + 4*u**3 - 5*u**3 + 12 + 5*u**2 + 2238*u. Let k be p(4). Factor 2*x**4 + 4*x**2 + 0*x**4 + 0*x**4 + 8*x**3 - k*x - 6*x**4.
-4*x*(x - 2)*(x - 1)*(x + 1)
Factor -44/5*o**2 - 2448/5 - 2/5*o**3 + 744/5*o.
-2*(o - 6)**2*(o + 34)/5
Let s(t) be the first derivative of 1/5*t**5 + 2*t**3 - 10*t + 4/3*t**4 + 0*t**2 + 13. Let b(f) be the first derivative of s(f). Find n, given that b(n) = 0.
-3, -1, 0
Let l(r) be the second derivative of -6*r**2 + r - 1/6*r**4 + 7/3*r**3 - 18. Factor l(o).
-2*(o - 6)*(o - 1)
Let a(h) be the first derivative of h**5/5 - 5*h**4/3 + 2*h**3 + 18*h**2 + 38*h + 36. Let c(z) be the first derivative of a(z). Factor c(p).
4*(p - 3)**2*(p + 1)
Let b(z) be the second derivative of z**4/6 + 6598*z**3/3 + 10883401*z**2 + 624*z - 4. Let b(s) = 0. What is s?
-3299
Let s = 79 + -76. Let c(f) = f**2 - f + 3. Let b be c(0). Factor 0*g**b - 3*g**3 + g**s.
-2*g**3
Let -138*c**2 + 5 + 18*c**5 - 42*c**3 + 10 + 9 + 80*c + 58*c**4 = 0. What is c?
-3, -2, -2/9, 1
Let i = -300 + 302. Let x be 7 - ((-372)/(-30))/i. Factor x - 2/5*p**2 - 2/5*p.
-2*(p - 1)*(p + 2)/5
Let d(t) be the third derivative of t**5/15 + 29*t**4/3 + 38*t**3 - 1027*t**2. Factor d(m).
4*(m + 1)*(m + 57)
Let b be (-30)/(-48)*(-6)/(-5)*20. Let r be 48/b - (-33 + 33). Find m, given that 16/5 - r*m + 4/5*m**2 = 0.
2
Suppose -20/3 - 10/9*a**3 + 2/9*a**4 + 82/9*a - 14/9*a**2 = 0. What is a?
-3, 1, 2, 5
Let t(b) be the first derivative of 27 - 1/6*b**3 - 1/4*b**2 + 0*b. Factor t(k).
-k*(k + 1)/2
Let h(r) be the second derivative of -r**6/60 - 43*r**5/5 - 3611*r**4/3 + 9976*r**3 - 30276*r**2 - 458*r - 2. What is m in h(m) = 0?
-174, 2
Let c = -1067 + 282. Let j = -781 - c. Solve -9/7*t**2 + 0 - 3/7*t**3 + 9/7*t**j + 6/7*t - 3/7*t**5 = 0.
-1, 0, 1, 2
Let d = 102453 + -1843391/18. Let u = d - 350/9. Solve u*k**5 - k + 0 - 9/2*k**2 - 5/2*k**3 + 9/2*k**4 = 0 for k.
-1, -2/7, 0, 1
Factor 22816/3*t - 3844 - 4/9*t**4 - 736/9*t**3 - 33112/9*t**2.
-4*(t - 1)**2*(t + 93)**2/9
Let l = -86 + 89. Find q such that 7*q**4 - 60*q + 95*q**2 + 2*q**4 - 5*q**4 + q**4 - 40*q**l = 0.
0, 1, 3, 4
Let w(f) be the first derivative of -f**3 - 21*f**2 + 967. Factor w(y).
-3*y*(y + 14)
Let i = 103133/15 + -6875. Let b(c) be the second derivative of 15*c - i*c**3 - 1/30*c**4 - 16/5*c**2 + 0. Factor b(s).
-2*(s + 4)**2/5
Let k(f) be the third derivative of f**8/2184 - 11*f**7/1365 + 3*f**6/130 + f**5/195 - 19*f**4/156 + 3*f**3/13 + 26*f**2 + 27*f. What is z in k(z) = 0?
-1, 1, 9
Let l = -35317/388 - 22/97. Let b = 92 + l. Solve -3/4 - b*o**2 - 3/2*o = 0 for o.
-1
Let p(m) be the first derivative of m**3/15 - 33*m**2/10 + 46*m + 2311. Factor p(s).
(s - 23)*(s - 10)/5
Let j = 109635 - 548172/5. Suppose -6/5 + 6/5*q**2 - j*q**3 + 3/5*q = 0. What is q?
-1, 1, 2
Let d(g) = 8*g**2 + 26*g + 153. Let q(r) = -5*r**2 - 24*r - 154. Let c(k) = 2*d(k) + 3*q(k). Factor c(u).
(u - 26)*(u + 6)
Let p(c) = -56*c**2 - 190*c + 25. Let h be ((-42)/18)/(-1*5/15). Let t(d) = -57*d**2 - 189*d + 24. Let x(k) = h*t(k) - 6*p(k). Find n such that x(n) = 0.
-3, 2/21
Let p(c) = 13*c**2 + 204*c + 194. Let n be p(-1). Factor -2/3*q**2 + 2*q - 10/9 - 2/9*q**n.
-2*(q - 1)**2*(q + 5)/9
Let d(c) be the third derivative of c**5/140 - 2337*c**4/28 + 5461569*c**3/14 + 466*c**2 - c - 2. Factor d(y).
3*(y - 2337)**2/7
Let u = 223 - 215. Factor -39*y**2 - u*y + y**4 - 3*y**4 + 53*y**2 - 4*y**3.
-2*y*(y - 1)**2*(y + 4)
Let j be 125/(-14)*((-1353)/(-410) + 33 + -37). Let j*v + 2*v**2 + 3/4 = 0. What is v?
-3, -1/8
Let f be 17/((-391)/46) - 430/(-25). Determine z so that -f*z - 2/5*z**2 - 722/5 = 0.
-19
Let m(v) be the first derivative of 17*v**3 + 921*v**2 + 216*v - 555. Find k such that m(k) = 0.
-36, -2/17
Let m(o) be the second derivative of o**6/360 + o**5/24 - 7*o**4/12 + 109*o**3/6 - o**2/2 - 104*o. Let f(x) be the second derivative of m(x). Factor f(d).
(d - 2)*(d + 7)
Suppose -22*j + 12 = 5*a - 68, -4*j - 2*a = -32. Suppose -14*d**4 - 8/7 + 0*d + 106/7*d**2 + j*d**3 = 0. What is d?
-1, -2/7, 2/7, 1
Let i(u) be the third derivative of 7*u**5/90 - 3*u**4/4 - 4*u**3/9 - 3*u**2 - 82. Factor i(n).
2*(n - 4)*(7*n + 1)/3
Let c(z) be the second derivative of 9/10*z**5 - 9/2*z**2 + 1/14*z**7 + 1/2*z**6 - 1/2*z**4 + 5 + 3*z - 7/2*z**3. Solve c(s) = 0.
-3, -1, 1
Let i(y) be the first derivative of -2*y**3/3 - 31*y**2/6 - 5*y/3 + 743. Find f such that i(f) = 0.
-5, -1/6
Let s(t) = 5*t**2 + 21264*t - 37679908. Let p(a) = -27*a**2 - 106320*a + 188399565. Let g(y) = -4*p(y) - 21*s(y). Let g(k) = 0. What is k?
3544
Let i(w) be the first derivative of 31*w**2 - 75*w**6 - 84*w**5 + 193*w**4 - 4*w - 344/3*w**3 + 100. Let i(k) = 0. What is k?
-2, 1/5, 1/3
Let c(t) be the first derivative of -t**4/7 - 40*t**3/3 + 288*t**2/7 + 263. Factor c(q).
-4*q*(q - 2)*(q + 72)/7
Suppose -6*h + 1743 = 1749. Let d(a) = -a**2 - 2. Let v(r) = r**3 - 5*r**2 - 5*r - 2. Let s(j) = h*d(j) + v(j). Determine z so that s(z) = 0.
-1, 0, 5
Suppose -3*a + s = -2, -a = -4*a - 5*s + 26. Suppose 25 = 3*x + 2*x - a*p, 28 = x - 5*p. Find t such that -11*t - 25*t + 12 + x*t**2 + 21*t = 0.
1, 4
Let v = 569 + -361. Let p be -4*12/v*4/(-6). Find x such that p*x - 2/13*x**3 - 6/13*x**4 + 6/13*x**2 + 0 = 0.
-1, -1/3, 0, 1
Let q(y) be the third derivative of y**5/210 + 209*y**4/84 - 633*y**2 - y. Let q(m) = 0. What is m?
-209, 0
Let c be 0 - 5/((-10)/8). Let w be 208/32*(-56)/(-2366). Factor -2/13*n**c + 0*n**3 - w + 4/13*n**2 + 0*n.
-2*(n - 1)**2*(n + 1)**2/13
Let b = -217467 - -11090230/51. Let h = -190/17 - b. What is c in 0 + 4/3*c**2 - 4/3*c - h*c**3 = 0?
0, 2
Factor 159201 - 23290*l - 23009*l + l**2 + 45501*l.
(l - 399)**2
Let a(b) be the first derivative of -1/102*b**4 + 36*b + 3 + 5/17*b**2 + 4/51*b**3. Let o(g) be the first derivative of a(g). Solve o(d) = 0 for d.
-1, 5
Let b be (1*(2 - 105/56))/((-25)/(-28)). Let p(j) be the second derivative of b*j**5 - 2/3*j**3 + 11/10