. Determine r so that -387120 + 1393*r - 6569*r + c - 2*r**3 - 11048*r - 312*r**2 = 0.
-52
Let f(s) be the first derivative of -s**7/735 + 7*s**2 - s + 9. Let i(o) be the first derivative of f(o). Let d(q) be the first derivative of i(q). Factor d(m).
-2*m**4/7
Let h be (-1 + 16/20)/(121/(-1210)). Let f(i) be the first derivative of i**3 + 1/6*i**h - 1/12*i**4 + 22 - 3*i. Factor f(b).
-(b - 9)*(b - 1)*(b + 1)/3
Let g(y) be the third derivative of y**6/600 + 1841*y**5/150 + 3389281*y**4/120 - 9*y**2 + 13*y + 1. Find z, given that g(z) = 0.
-1841, 0
Let k(c) be the third derivative of -c**6/80 - 49*c**5/5 - 2401*c**4 + 9*c**2 - 6. Factor k(f).
-3*f*(f + 196)**2/2
Let s(f) be the first derivative of -f**6/39 + 238*f**5/13 - 44697*f**4/13 + 528064*f**3/39 - 175232*f**2/13 - 4781. Determine h, given that s(h) = 0.
0, 1, 2, 296
Let b = 128 + -52. Let u = b + -73. Factor 4*a**3 + 2*a**2 + 8*a**3 + u*a**3 - 5*a**4 + 5*a - 17*a**2.
-5*a*(a - 1)**3
Let o(s) = 34*s - 100. Let t be o(3). Factor 7 + 648*u**t - 8*u + 8*u**3 - u**4 - 326*u**2 - 328*u**2.
-(u - 7)*(u - 1)**2*(u + 1)
Let w = 4/221187 + 98304/73729. Let 10*t - 3 + 23/3*t**2 + w*t**3 = 0. What is t?
-3, 1/4
Let -12 + 1403*c**4 - 299*c**4 + 4*c - 742*c - 982*c**3 + 32*c**5 + 86 + 2422*c**2 - 1912*c**3 = 0. Calculate c.
-37, 1/4, 1
Suppose 0 = 2*q - 5*c - 79, 4*c + 1841 = 4*q + 1773. Factor 2*i - 7/4*i**3 + 13/2*i**q + 0.
-i*(i - 4)*(7*i + 2)/4
Let c(h) = -h**3 + 2*h**2 - 4*h + 4. Let l be c(2). Let r be (-6)/(-2) - (1 + l/2). Factor 0*i**3 + 5*i**4 - 3*i**r + 10*i**3.
2*i**3*(i + 5)
Let q(v) be the third derivative of v**7/84 + 229*v**6/48 + 225*v**5/4 + 3355*v**4/12 + 2230*v**3/3 - 2*v**2 - 2021*v. Factor q(k).
5*(k + 2)**3*(k + 223)/2
Let y = 321 + -317. Factor 0 - y*j**2 + 10*j - 15*j + 3*j**2 + 6.
-(j - 1)*(j + 6)
Let a = -4/555215 - 39349752671/3331290. Let o = 11853 + a. Factor 70*m - o*m**2 - 30.
-5*(7*m - 6)**2/6
Let y(u) = -21*u**3 + 2*u**2 - 17*u - 32. Let x be y(-5). Find m, given that 5544*m - 393 + 83*m**2 + 2957 + x + 3*m**3 + 172*m**2 = 0.
-42, -1
Let 447/4*t**4 + 1817/4*t**2 - 237*t - 5/4*t**5 - 1483/4*t**3 + 43 = 0. Calculate t.
2/5, 1, 86
Let o be 0*(1 + 0 - 0) - -2. Factor p**4 + 6*p**3 - 7*p**4 + 3*p**4 - 15*p**3 + 0*p**2 - 6*p**o.
-3*p**2*(p + 1)*(p + 2)
Let c(z) be the third derivative of z**6/180 - 8*z**5/9 - 9*z**4/4 - 478*z**2. Suppose c(s) = 0. What is s?
-1, 0, 81
Suppose 158 = 26*a - 128. Suppose 22 = -a*f + 55. Factor 0*b - 4/3*b**2 - 1/3*b**4 + 0 - 4/3*b**f.
-b**2*(b + 2)**2/3
Let a(f) be the second derivative of f**6/30 - 7*f**5/20 + 5*f**4/4 - 13*f**3/6 + 2*f**2 - 226*f. Factor a(g).
(g - 4)*(g - 1)**3
Let m(r) be the first derivative of -25*r**4/18 + 820*r**3/27 - 161*r**2/9 + 32*r/9 + 166. Find b such that m(b) = 0.
1/5, 16
Suppose -4*t + 92 = -5*u, -6*t - 2*u = -7*u - 128. Let y(g) be the first derivative of t*g + 47/4*g**4 - 17 - 7/5*g**5 - 91/3*g**3 + 33/2*g**2. Factor y(b).
-(b - 3)**2*(b - 1)*(7*b + 2)
Determine u, given that -172936*u - 54494*u + 2227*u**2 + 500*u**3 - 71*u**2 + 6109*u**2 + 5*u**4 = 0.
-57, 0, 14
Factor 0 + 7/5*c**2 + 36/5*c - 1/10*c**3.
-c*(c - 18)*(c + 4)/10
Let z(r) = -5*r**2 + 4*r - 26. Let w be z(-7). Let x be (-3)/18 + w/(-138). Let -1/9*s**x + 1/9 + 0*s = 0. What is s?
-1, 1
Determine m, given that 9 - 162*m + 3*m**2 + 96 + 95 + 52 + 69*m = 0.
3, 28
Find l, given that 33049*l + 2*l**3 - 4764064 + 0*l**3 + 2*l**3 + 101783*l - 1272*l**2 = 0.
106
Let u be (54/42)/(-3)*(70/10 - 8). Factor 0*k + 12/7*k**2 - 15/7*k**3 + 0 + u*k**4.
3*k**2*(k - 4)*(k - 1)/7
Suppose -13*r + 128 = -15*r. Let j = r + 69. Factor -4*m**2 - 9 - 9 + 32*m - 20*m**3 + 5 + 4*m**j + 4*m**4 - 3.
4*(m - 1)**3*(m + 2)**2
Let a(v) be the third derivative of 3/8*v**4 - 1/70*v**7 + 1/20*v**5 + 0*v + 0 - 3/40*v**6 - 47*v**2 + 0*v**3. Determine h, given that a(h) = 0.
-3, -1, 0, 1
Factor -19*m**3 + 0 - 32/3*m**4 + 0*m - 6*m**2 - 5/3*m**5.
-m**2*(m + 3)**2*(5*m + 2)/3
Let c = 18923/2590 - 55/518. Suppose 42/5*v - 16/5*v**2 + 2/5*v**3 - c = 0. What is v?
2, 3
Suppose -447 - 653 = -290*x + 83 - 313. Find o, given that 28/3*o - 448/3*o**x - 36*o**2 + 8/3 - 320/3*o**4 = 0.
-1, -2/5, -1/4, 1/4
Let o(i) = 16*i**2 + 26*i - 208. Let b(y) = -3*y**2 - 1. Let v(n) = -6*b(n) - o(n). Let w(d) = d**2 - 14*d + 106. Let j(k) = -3*v(k) + 7*w(k). Factor j(f).
(f - 10)**2
Solve 0 + 7*b + 1/3*b**2 = 0 for b.
-21, 0
Let f = 310 + -1278. Let u = f + 969. Determine w so that -3/2*w + 1/2*w**2 + u = 0.
1, 2
Let z(g) be the first derivative of -g**6/270 - g**5/15 - 5*g**4/18 - 4*g**3/3 + 5*g**2 - 18. Let j(i) be the third derivative of z(i). Factor j(u).
-4*(u + 1)*(u + 5)/3
Let u = 425/1606 + 41/146. Factor 0 + 2/11*a**2 + u*a.
2*a*(a + 3)/11
Let a = 3268 + -3268. Let x(f) be the third derivative of -7/15*f**5 + 5/3*f**4 + a + 16/3*f**3 + 0*f + 14*f**2. Suppose x(p) = 0. What is p?
-4/7, 2
Let p be (0 - -4) + ((-440)/(-165))/(14/(-21)). Suppose -3 = 3*t - 9. Find s such that 2/3*s**t + p + 4/3*s = 0.
-2, 0
Let s(r) be the first derivative of 4*r**5/5 - 97*r**4 + 4592*r**3 - 105056*r**2 + 1141504*r - 1068. Let s(y) = 0. Calculate y.
13, 28
Let y = -1/956201 - -337539191/227575838. Let g = y - -2/119. Find l such that g*l - 33/2*l**2 + 117/2*l**3 + 30*l**5 + 0 - 147/2*l**4 = 0.
0, 1/5, 1/4, 1
Factor 0 + 4/7*u**4 + 376/7*u**2 + 288/7*u + 92/7*u**3.
4*u*(u + 1)*(u + 4)*(u + 18)/7
Determine g, given that -710/3 + 32/3*g**3 + 416/3*g + 2/15*g**4 + 436/5*g**2 = 0.
-71, -5, 1
Let m be ((-66)/(-605))/(90/220). Factor m*k**2 + 6/5*k + 8/15.
2*(k + 4)*(2*k + 1)/15
Let f(a) be the third derivative of a**7/168 - a**6/4 - 40*a**3/3 + 7*a**2. Let u(i) be the first derivative of f(i). Determine q so that u(q) = 0.
0, 18
Suppose 3*s - 5*b - 2 = 0, -7*s + b = -2*s - 18. Suppose 0 = -4*z + 2*i + 4, i = -i - s. Determine o so that -5 - 5*o + 5*o**3 - o**2 - 3*o**2 + z + 9*o**2 = 0.
-1, 1
What is q in -7*q**2 - 41*q**3 + 3*q**4 - 7*q**2 + 63*q + 62*q**2 + 74*q**3 + 45*q**2 = 0?
-7, -3, -1, 0
Let s = 1/501 + 10513/4008. Let h(c) be the second derivative of -8*c + 9/4*c**2 + s*c**4 + 27/40*c**5 + 0 - 17/4*c**3. Determine n, given that h(n) = 0.
-3, 1/3
Let c(z) be the second derivative of 95*z**3 - 1083/2*z**2 - 52 - z - 25/4*z**4. Let c(u) = 0. Calculate u.
19/5
Let w = 15 - -54. Suppose 2*x = w - 49. Factor -1 + 10 + 0*d**2 + 2*d**3 + 4*d - x*d**2 + 7.
2*(d - 4)*(d - 2)*(d + 1)
Let t(g) be the first derivative of -16*g**6 + 84*g**5/5 + 111*g**4/4 - 29*g**3 - 15*g**2/2 + 3*g - 1180. Let t(w) = 0. What is w?
-1, -1/4, 1/8, 1
Suppose -4*l + 2*b + 51 = 23, l + 8 = -2*b. Let d(u) be the second derivative of -19*u - 1/21*u**3 + 0 - 1/84*u**l - 1/14*u**2. Factor d(q).
-(q + 1)**2/7
Let r(h) be the third derivative of 97*h**2 - 1/24*h**6 - 45/2*h**3 + 0 + 15/8*h**4 + 0*h + 1/4*h**5. Factor r(s).
-5*(s - 3)**2*(s + 3)
Let -65/3*k**3 + 0 + 0*k + 5/3*k**4 - 70/3*k**2 = 0. Calculate k.
-1, 0, 14
Let z(n) be the third derivative of 5*n**2 - 1/8*n**4 + 1/20*n**5 + 0 - 12*n - n**3. What is p in z(p) = 0?
-1, 2
Suppose 11911*m + 1815 = 12516*m. Solve 0*n + m*n**2 + 1/2*n**4 - 7/2*n**3 + 0 = 0 for n.
0, 1, 6
Let h(y) = 64*y**2 - 14*y + 14. Let b be h(1). Factor -1728 - 80*g - b*g + 200*g**2 - 203*g**2.
-3*(g + 24)**2
Suppose 2*j + 3*t = -j + 12, 0 = -5*t + 5. Let u(v) be the first derivative of -11*v**j - 3*v**2 - 10 + 1 + 2 - 17. Factor u(x).
-3*x*(11*x + 2)
Let 2/7*j**3 + 8/3*j - 16/7*j**2 + 0 + 2/21*j**4 = 0. Calculate j.
-7, 0, 2
Let l = 133 - 138. Let q be (-80)/200 - 6/l. Suppose q*b - 2/5 - 2/5*b**2 = 0. Calculate b.
1
Let z(x) = -2*x**2 - 349*x - 15491. Let c(b) be the first derivative of -2*b**3/3 - 175*b**2 - 15490*b - 268. Let f(o) = 3*c(o) - 2*z(o). Factor f(n).
-2*(n + 88)**2
Let q(c) be the third derivative of 1/90*c**5 + 0 - 3*c**2 - 5/36*c**4 + 7*c + 4/9*c**3. Determine f, given that q(f) = 0.
1, 4
Solve -9*r**3 + 13*r**3 - 2250 + 16778 + 410*r**2 + 466*r**2 + 2349*r - 9549*r = 0.
-227, 4
Let y = -6467 + 213413/33. Let t(m) be the first derivative of -y*m**3 + 12/11*m**2 + 15 - 72/11*m. Factor t(u).
-2*(u - 6)**2/11
Let x(d) be the second derivative of -14/15*d**6 - 25/3*d**4 + 0 - 32/3*d**3 - 2/21*d**7 - 8*d**2 + 2*d - 19/5*d**5. What is m in x(m) = 0?
-2, -1
Let f(v) be the first derivative of -v**5/25 + 7*v**4/20 