 - 708. Let m(f) = 0. Calculate f.
0, 2, 63
Let p = 26 + -14. Let f be (28/6)/(8/p). Solve f*o**2 - 8*o**4 - o**3 - 2*o - 3*o**2 + 4*o**2 + 3*o**3 = 0 for o.
-1, 0, 1/4, 1
Let f(q) be the second derivative of -q**5/90 - 101*q**4/18 - 88*q**3 - 4720*q**2/9 - 6418*q + 2. Factor f(o).
-2*(o + 4)**2*(o + 295)/9
Suppose 70 = 11*i - i. Suppose -5*x = -3 - i. Find a such that -7*a**2 - 151*a**4 - 39*a**x + 81*a**4 - 24*a + 8 + 132*a**3 = 0.
-2/5, 2/7, 1
Suppose -111*l**3 - 36*l**3 - 9*l**4 + 57*l + l**5 - 295*l**2 + 467*l - 74*l = 0. Calculate l.
-5, 0, 1, 18
Let y(n) be the third derivative of n**5/30 - 259*n**4/3 + 268324*n**3/3 + 97*n**2 + n. Factor y(h).
2*(h - 518)**2
Let r(b) be the first derivative of 0*b - 77 + 0*b**2 - 3/5*b**5 - 1/2*b**6 + 3/2*b**4 + 0*b**3. Factor r(m).
-3*m**3*(m - 1)*(m + 2)
Let t(i) = -i**2 - 52*i - 295. Let z be t(-64). Let c = z - -5321/5. Determine b so that c*b + 3/5*b**2 + 0 = 0.
-2, 0
Let o(u) = u**3 - 3*u - 1. Let m(a) = 2*a**3 + 13*a**2 - 31*a - 3. Let z(w) = -5*m(w) + 15*o(w). Suppose z(s) = 0. What is s?
0, 2, 11
Let x = -12425/6 + 4147/2. Find o such that -16*o**2 - x - 22/3*o**3 - 7/6*o**4 - 40/3*o = 0.
-2, -2/7
Suppose -5*b - 4*k + 2752 = 0, 11*b - 14*b + 4*k + 1664 = 0. Let v = b - 552. Solve 2*p**4 + v - 5/2*p - 1/2*p**5 - 2*p**2 + 3*p**3 = 0 for p.
-1, 0, 1, 5
Let s(b) = 10606*b + 42426. Let v be s(-4). Factor -9/2*k**v + 1/2*k**4 - 3/2*k**3 + 0 - 5/2*k.
k*(k - 5)*(k + 1)**2/2
What is m in 76/7 + 72/7*m - 80/7*m**2 - 72/7*m**3 + 4/7*m**4 = 0?
-1, 1, 19
Let p(f) be the second derivative of -f**6/135 + 286*f**5/45 + 1147*f**4/54 + 574*f**3/27 + 15720*f. Factor p(b).
-2*b*(b - 574)*(b + 1)**2/9
Let j = -43/3 + 307/21. Let n(k) = 52140*k + 104282. Let p be n(-2). Find h, given that -12/7*h**5 + 1/7 - j*h - 12/7*h**2 + p*h**3 + 11/7*h**4 = 0.
-1, -1/3, 1/4, 1
Let a(h) be the first derivative of -2*h**6/15 - 12*h**5/5 - 10*h**4 - 56*h**3/3 - 18*h**2 + 69*h + 56. Let t(i) be the first derivative of a(i). Factor t(b).
-4*(b + 1)**3*(b + 9)
Let k(x) be the third derivative of x**5/270 + 745*x**4/54 + 555025*x**3/27 - 7*x**2 + 64. Solve k(w) = 0.
-745
Let c(p) = -251*p - 10540. Let z be c(-42). Solve -8/9*x + 2/3 + 2/9*x**z = 0.
1, 3
Let q(d) be the first derivative of 5*d**3/3 + 20*d**2 + 60*d - 7179. Let q(m) = 0. Calculate m.
-6, -2
Let g = -97 + 100. Let s = 16724 - 16724. Suppose s*q**g - 18/13*q**4 - 8/13*q + 0 + 2*q**2 = 0. Calculate q.
-4/3, 0, 1/3, 1
Let y be 17/((-510)/(-12))*3*15. What is f in 5*f - 4 + 11*f + y*f**2 + 13*f**2 - 11*f**2 = 0?
-1, 1/5
Let j(u) = -u**3 - 10*u**2 - 11*u + 74. Let b be j(-7). Factor 2/3*c**b - 1/3*c**5 + c**3 - 4/3*c**2 - 4/3*c + 0.
-c*(c - 2)**2*(c + 1)**2/3
Suppose 165 = -622*y + 655*y. Let j(s) be the first derivative of 0*s - 12 - 15*s**4 + 32/15*s**y + 400/9*s**3 - 125/3*s**2 - 1/9*s**6. Factor j(n).
-2*n*(n - 5)**3*(n - 1)/3
Let a(s) be the first derivative of -45 - 2/21*s**3 + 4/7*s**2 - 5/28*s**4 - 1/35*s**5 + 0*s. Find g such that a(g) = 0.
-4, -2, 0, 1
Let k(q) = q**3 - 28*q**2 - 5*q + 143. Let o = 2242 + -2214. Let w be k(o). Factor -2/11*v**w - 2/11*v + 0 - 4/11*v**2.
-2*v*(v + 1)**2/11
Let k(l) = -127*l + 891. Let r be k(7). Suppose 4*z - 13 = 14*u - 11*u, r*z - 2*u - 6 = 0. Factor -8/3*s + z*s**2 + 0 - 4/3*s**3.
-4*s*(s - 2)*(s - 1)/3
Let s(o) be the third derivative of o**8/100800 + o**7/7200 + o**6/1440 - o**5/60 + o**4/8 - 33*o**2. Let y(u) be the third derivative of s(u). Factor y(f).
(f + 1)*(2*f + 5)/10
Let h(y) = -y**3 - 4*y**2 - 2*y + 1. Let z(k) = 15*k**3 - 486*k**2 + 21*k + 522. Let t(l) = 12*h(l) + z(l). Determine c so that t(c) = 0.
-1, 1, 178
Let k(f) be the third derivative of 0 + 22/3*f**3 + 0*f + 3/4*f**4 + 126*f**2 - 2/5*f**5 + 1/60*f**6. Determine t, given that k(t) = 0.
-1, 2, 11
Let -37*z**2 + 46404*z - 5*z**3 + 90 - 3*z**2 - 92879*z + 46430*z = 0. What is z?
-6, -3, 1
Let y(m) be the first derivative of m**4/14 - 52*m**3/21 + 109*m**2/7 - 24*m - 1694. Factor y(t).
2*(t - 21)*(t - 4)*(t - 1)/7
Let r(o) = 13*o**3 - 20*o**2 + 35*o - 25. Let z(b) = 17*b**3 - 22*b**2 + 35*b - 26. Let i(p) = -4*r(p) + 3*z(p). Factor i(s).
-(s - 11)*(s - 2)*(s - 1)
Let s(c) be the second derivative of -5/12*c**4 + 0*c**3 + 2*c - 1/2*c**6 - 5/42*c**7 - 3/4*c**5 + 0*c**2 + 70. Find h, given that s(h) = 0.
-1, 0
Factor 2/11*q**2 + 0 - 42/11*q.
2*q*(q - 21)/11
Let y(r) be the third derivative of -4/21*r**3 + 0*r - 21*r**2 - 1/42*r**5 + 1/420*r**6 + 0 + 2/21*r**4. Factor y(q).
2*(q - 2)**2*(q - 1)/7
Let w = 475 + -473. Let d be (2/(-6)*w)/(1/(-4)). Determine k, given that 0 - 23/3*k**3 + 28/3*k**2 - 1/3*k**5 + d*k**4 - 4*k = 0.
0, 1, 2, 3
Let c(g) be the second derivative of -1/2*g**2 - 1/126*g**7 + 1/10*g**5 - 7/18*g**4 + 11/18*g**3 + 1/90*g**6 + 19 - 3*g. Factor c(y).
-(y - 1)**4*(y + 3)/3
Factor 5*h**5 + 30*h**4 + 264882 - 15*h**3 - 80*h**2 + 60*h - 264882.
5*h*(h - 1)**2*(h + 2)*(h + 6)
Let j = -2/22335 + 29786/67005. Factor 0 + a**3 + j*a + 20/9*a**2.
a*(a + 2)*(9*a + 2)/9
Let w(i) = 3*i**2 + 7*i. Let o(g) = g**2 + 2*g. Let u(x) = -4*o(x) + w(x). Let r(n) = 4*n**2 - 54*n - 450. Let l(j) = -r(j) - 6*u(j). Factor l(b).
2*(b + 15)**2
Find m such that 103968*m + 3/8*m**3 + 342*m**2 + 10535424 = 0.
-304
Suppose -18*d + 10 = -5*d - 16. Let y(n) be the first derivative of 9*n**d + 7*n**4 - 12/5*n**5 - 4*n - 32/3*n**3 + 1/3*n**6 + 2. Find j, given that y(j) = 0.
1, 2
Let z = 252 + -250. Factor 8 - m**2 + 17*m**2 - 10*m**z + 0 - 15*m + m**3.
(m - 1)**2*(m + 8)
Let v(a) be the second derivative of 0*a**3 + 0 - 7/36*a**4 + 0*a**2 + 134*a - 1/60*a**5. Let v(y) = 0. What is y?
-7, 0
Let h(d) be the third derivative of -d**11/332640 + d**9/60480 - d**5/12 + d**3/3 - 55*d**2. Let o(m) be the third derivative of h(m). Factor o(n).
-n**3*(n - 1)*(n + 1)
Let x be 97 - -6*(-49)/42. Let c be ((-6)/441*-14)/(8/x). What is p in c*p**3 + 36/7*p - 24/7 + 54/7*p**2 = 0?
-2, 2/5
Determine j so that -11*j**2 + 256526*j - 258912*j + 1423249 + 12*j**2 = 0.
1193
Let o(z) be the second derivative of -3*z**5/20 + 299*z**4/4 + 151*z**3 - 900*z**2 - 371*z - 7. Determine c, given that o(c) = 0.
-2, 1, 300
Let b(x) be the second derivative of -x**4/12 + 485*x**3/3 - 235225*x**2/2 + 64*x + 2. Suppose b(g) = 0. Calculate g.
485
Let y(f) be the second derivative of -65/6*f**3 + 30*f**2 + 165*f + 0 + 5/12*f**4. Factor y(q).
5*(q - 12)*(q - 1)
Suppose 827*h = 820*h + 91. Suppose h*o = -4*o + 34. Factor -2/5*j**o - 4/5 + 6/5*j.
-2*(j - 2)*(j - 1)/5
Let z(v) be the second derivative of 0 + 5/6*v**3 + 0*v**5 - 5/42*v**7 - 2/3*v**6 + 25/6*v**4 + 66*v - 15*v**2. Find f, given that z(f) = 0.
-3, -2, -1, 1
Let o(a) be the second derivative of -a**6/10 - 111*a**5/10 - 213*a**4/4 - 3875*a. Factor o(x).
-3*x**2*(x + 3)*(x + 71)
Let u(i) = 20*i**5 - 6*i**3 - 14*i. Suppose 4*c + 3*q = -71, -4*c - 19*q - 61 = -18*q. Let f(r) = -4*r**5 + r**3 + 3*r. Let p(o) = c*f(o) - 3*u(o). Factor p(h).
-4*h**3*(h - 1)*(h + 1)
Let i(p) be the second derivative of -162*p**2 - 2 - 15*p**3 + 8*p + 1/15*p**6 - 19/10*p**5 + 97/6*p**4. Factor i(g).
2*(g - 9)**2*(g - 2)*(g + 1)
Let n be (-114)/(-57) + 8/(-6). Let l be (160/(-12))/(-2) - (-2 - -6). Factor n*i**2 + 2 - l*i.
2*(i - 3)*(i - 1)/3
Let l(r) be the second derivative of -r**4/18 + 28*r**3/9 - 9*r**2 - 402*r. Factor l(j).
-2*(j - 27)*(j - 1)/3
Let i = 208143 + -208143. Factor 45/2*a**3 + 0*a - 21/2*a**4 - 27/2*a**2 + i + 3/2*a**5.
3*a**2*(a - 3)**2*(a - 1)/2
Factor 17*s**4 + 865*s**2 - 706*s**2 + 90*s + s**5 - 29*s**3 + 114*s**3.
s*(s + 1)*(s + 3)**2*(s + 10)
Let k(c) be the first derivative of -4*c**5/5 + 16*c**4 - 104*c**3 + 224*c**2 - 196*c + 11419. Factor k(m).
-4*(m - 7)**2*(m - 1)**2
Let t be 1 + (-140)/(-45) - 5/45. Let -2*r**3 + 30*r - 2*r**t - 4*r**4 + 2*r**4 + r**4 + 21*r**2 - 10*r**3 = 0. What is r?
-5, -1, 0, 2
Let d = -387 + 391. Factor -2*k - 11*k - 15*k + 78 - d*k**3 + 20*k**2 - 66.
-4*(k - 3)*(k - 1)**2
Let h be (-248)/(-8835) - ((-8)/(-32) - (-27)/(-76)). Factor h*o**4 + 2/5 + 4/3*o + 8/5*o**2 + 4/5*o**3.
2*(o + 1)**3*(o + 3)/15
Let v(f) be the first derivative of f**4/6 - 2*f**3/3 + 35*f - 14. Let d(o) be the first derivative of v(o). Factor d(g).
2*g*(g - 2)
Suppose 10*b = 7*b + 15. Suppose a = -b*t - 0*t + 26, 0 = -3*t - 3*a + 18. Determine y, given that 5*