(v) be the first derivative of -2*v**3/39 + 73*v**2/13 + 148*v/13 + 823. Factor k(c).
-2*(c - 74)*(c + 1)/13
Let b(w) be the first derivative of 14 + 0*w**2 + 12/5*w**4 - 3*w**3 + 0*w - 3/25*w**5. Factor b(d).
-3*d**2*(d - 15)*(d - 1)/5
Factor 2*l**4 - 402*l + 2442*l**3 - 186*l**2 - 1217*l**3 - 280 - 112*l - 1175*l**3.
2*(l - 5)*(l + 1)**2*(l + 28)
Let z(g) be the third derivative of -g**5/60 + 5*g**4/24 - g**3 - 1492*g**2. Solve z(r) = 0 for r.
2, 3
Let m(q) be the first derivative of 5/9*q**2 - 4/27*q**3 + 228 - 1/18*q**4 + 4/3*q. Solve m(d) = 0.
-3, -1, 2
Determine y so that 11*y**2 + 10*y**4 - 24*y - 7*y**4 - 52*y**3 - 29*y**2 + 61*y**3 = 0.
-4, -1, 0, 2
Let p(b) be the first derivative of -4*b**6/7 + 314*b**5/35 + 76*b**4/7 + 8*b**3/3 - 1396. Let p(o) = 0. Calculate o.
-2/3, -1/4, 0, 14
Suppose 4*n**2 - 84*n + 64566 - 65966 + 1480*n = 0. What is n?
-350, 1
Let t(m) be the second derivative of -m**5/20 + 73*m**4/12 + 316*m**3/3 + 648*m**2 + 23*m + 6. Factor t(c).
-(c - 81)*(c + 4)**2
Find u, given that 484*u - 234256 - 1/4*u**2 = 0.
968
Let u(m) be the second derivative of -m**5/120 - 337*m**4/24 - 85345*m**3/12 - 255025*m**2/12 + 1875*m. Find i, given that u(i) = 0.
-505, -1
Let i be (-660)/70*(-1827)/957. What is x in i - 3/2*x**2 + 6*x = 0?
-2, 6
Suppose 2*t = 8*j - 3*j + 35, -3*t - 3*j = 21. Let s = 431/742 + -1/106. Suppose 0 + s*l**2 + t*l = 0. Calculate l.
0
Let l be (7 - -11)*((-644)/34 + 19). Solve 166/17*f**2 - 20/17*f**5 + 38/17*f**3 - l*f - 138/17*f**4 - 28/17 = 0 for f.
-7, -1, -2/5, 1/2, 1
Let j(w) be the first derivative of -w**7/504 + 7*w**6/360 - w**5/15 + w**4/18 + 37*w**3 + 34. Let s(y) be the third derivative of j(y). Factor s(m).
-(m - 2)**2*(5*m - 1)/3
Suppose 21 = 4*a - a. Suppose -14 = 37*b + 8 - 22. Suppose 0*q**2 + b - a*q - 4 + 2*q**2 = 0. What is q?
-1/2, 4
Let b(o) be the first derivative of o**5/30 + o**4/3 - 31*o**3/18 + 11*o**2/6 - 4093. Find q, given that b(q) = 0.
-11, 0, 1, 2
Suppose -12080 = 12*u + 1576. Let p = u - -1140. Let 0*n**3 + 4/3*n**4 + 0*n**p + 0 + 0*n = 0. Calculate n.
0
Let l(n) = -2*n**3 + n**2 - 7. Let a(v) = 7*v**3 + 31*v**2 + 1000*v + 5528. Let m(p) = -a(p) - 4*l(p). Determine g, given that m(g) = 0.
-10, 55
Let v(j) be the third derivative of j**8/336 - j**7/140 - 37*j**6/240 - j**5/40 + 71*j**4/48 - 5*j**3/2 + 252*j**2 - 3. Let v(i) = 0. Calculate i.
-3, -2, 1/2, 1, 5
Let t(m) be the first derivative of -81/14*m**2 + 81/7*m + 9/7*m**3 + 5 - 3/28*m**4. Find f such that t(f) = 0.
3
Let b(v) = 10*v**2 + 2 + 0 + 0 + 5*v + 11*v + v**3. Let n be b(-8). Find z, given that -2*z**4 - 8*z**2 + 0*z**3 + 0*z**n + 2*z**2 - 8*z**3 = 0.
-3, -1, 0
Let k(g) be the first derivative of -g**5/120 - g**4/24 + g**3/4 - 5*g**2/12 - 78*g - 33. Let p(i) be the first derivative of k(i). Suppose p(m) = 0. What is m?
-5, 1
Factor 29/4*y**2 - 1/4*y**3 + 44*y - 51.
-(y - 34)*(y - 1)*(y + 6)/4
Let z(l) be the first derivative of l**6/3 - 38*l**5 + 480*l**4 - 6080*l**3/3 + 1280*l**2 + 10752*l - 1433. Solve z(w) = 0.
-1, 4, 84
Let c(v) be the third derivative of -v**7/945 + v**6/60 - 590*v**2. Determine a, given that c(a) = 0.
0, 9
Suppose 2*v - 3*h + 8 = 0, 512 = v - 5*h + 530. Find s, given that 2/17*s**v + 30/17 - 16/17*s = 0.
3, 5
Let y = 648 - 942. Let m = y + 1765/6. Factor m*s**3 - 1/2 - 1/6*s**2 - 5/6*s.
(s - 3)*(s + 1)**2/6
Let 1464*s - 2/3*s**5 + 16*s**4 - 102*s**3 - 244/3*s**2 + 2160 = 0. What is s?
-2, 9, 10
Let l(a) be the second derivative of a**6/10 + 531*a**5/10 + 2789*a**4/4 + 3642*a**3 + 9342*a**2 - 2419*a - 1. Find y, given that l(y) = 0.
-346, -3, -2
Determine v so that 599*v**2 + 760*v - 668*v**2 + 131*v**3 + 159*v**3 + 480 - 25*v**4 - 911*v**2 = 0.
-2/5, 2, 4, 6
Let a(j) = j**3 + 403*j**2 - 14*j - 1576. Let v(h) = -h**3 - 808*h**2 + 29*h + 3142. Let y(x) = -5*a(x) - 2*v(x). Factor y(o).
-3*(o - 2)*(o + 2)*(o + 133)
Let w = -384 + 379. Let x be (39/135)/1 + (-3)/w. Factor -x*f**3 + 0*f + 4/9*f**5 + 0*f**2 - 4/9*f**4 + 0.
4*f**3*(f - 2)*(f + 1)/9
Let b(g) = 66*g + 354. Let r be b(-5). Let x be (10 - r/18)/((-33)/(-9)). What is t in -x*t**2 - 2/11*t**4 - 12/11*t**3 - 24/11*t - 8/11 = 0?
-2, -1
Suppose 111392/11 + 2/11*a**2 - 944/11*a = 0. What is a?
236
Suppose 12*k - 7*k - 34 = 2*o, -5*o - 35 = 0. Let n(s) be the second derivative of -3/14*s**3 + 1/28*s**k - 6*s + 0 + 3/7*s**2. Factor n(i).
3*(i - 2)*(i - 1)/7
Let t(k) be the third derivative of -k**7/6300 + 7*k**6/900 + 8*k**5/75 + 59*k**4/8 - 14*k**2 - 2. Let d(v) be the second derivative of t(v). Factor d(u).
-2*(u - 16)*(u + 2)/5
Let i(m) be the third derivative of -289*m**6/30 - 731*m**5/70 - 30*m**4/7 - 16*m**3/21 + m**2 + 6*m. Factor i(k).
-2*(14*k + 1)*(17*k + 4)**2/7
Let i be -201 + -69 + 0 + -1. Let w = 1364/5 + i. Factor w - 3/5*k**2 - 6/5*k.
-3*(k - 1)*(k + 3)/5
Let i(n) be the first derivative of n**4/14 - 32*n**3/7 + 48*n**2 + 1792*n + 1405. Find g, given that i(g) = 0.
-8, 28
Suppose 8/5*i**5 + 6764/5*i**2 + 444/5*i**4 - 28404/5*i - 5832 + 6444/5*i**3 = 0. What is i?
-27, -5/2, -1, 2
Let s(i) be the second derivative of 1/40*i**5 - 25*i**2 + 19/24*i**4 + 20/3*i**3 + 5 + 7*i. Solve s(z) = 0.
-10, 1
Determine n, given that 1064*n - 2*n**2 - 36*n**2 - 50*n**3 + 5*n**4 + 537*n - 621*n + 3*n**2 = 0.
-4, 0, 7
Let g(x) be the third derivative of x**5/80 + 5*x**4/4 + 351*x**3/8 + 2629*x**2 + x + 1. Factor g(u).
3*(u + 13)*(u + 27)/4
Let i = 89 - 17. Find r such that i*r + 7 + 1 + 38*r**2 - 4*r**2 = 0.
-2, -2/17
Factor 0 - 1/7*v**3 + 0*v - 13/7*v**2.
-v**2*(v + 13)/7
Solve 2/11*p**2 + 522242/11 - 2044/11*p = 0 for p.
511
Let x be 6/5 + -2 + 19845/12150. Determine c, given that x*c - 1/6*c**2 - 2/3 = 0.
1, 4
Let a(m) be the second derivative of 5*m**9/24192 + m**8/1680 - m**7/1680 + 2*m**3 + 36*m. Let r(i) be the second derivative of a(i). Factor r(g).
g**3*(g + 2)*(5*g - 2)/8
Let t(k) be the first derivative of -19*k - 44 - 5/9*k**3 + 5/36*k**4 + 5/6*k**2. Let f(q) be the first derivative of t(q). Determine s, given that f(s) = 0.
1
Let w be (5/(-2))/(-1*(-7)/(-14)). Factor 2*g**3 + 5*g**5 + 3*g**5 - 9*g**w + g**4.
-g**3*(g - 2)*(g + 1)
Let q(s) be the first derivative of s**5/5 - 27*s**4/4 + 56*s**3 + 98*s**2 + 146. Factor q(x).
x*(x - 14)**2*(x + 1)
Let d = -2443/5 + 491. Let v = 33331 - 33331. Determine b so that d*b + v + 3/5*b**2 = 0.
-4, 0
Let u = 313051/43530 + 73/8706. Factor -u*i**2 - 78/5*i - 8 + 2/5*i**3.
2*(i - 20)*(i + 1)**2/5
Suppose 106*d - 8 = 104*d, -5*d + 5 = -5*v. Factor 0*h - 3/7*h**2 + 1/7*h**v + 4/7.
(h - 2)**2*(h + 1)/7
Let l(o) be the third derivative of -5*o**8/336 - o**7/6 - 5*o**6/12 + o**5/6 + 55*o**4/24 + 25*o**3/6 - 869*o**2. Factor l(b).
-5*(b - 1)*(b + 1)**3*(b + 5)
Let j(m) be the second derivative of 20*m**7/3 - 397*m**6/15 + 119*m**5/5 - 4*m**4/3 - 7216*m. Find b such that j(b) = 0.
0, 1/28, 4/5, 2
Factor -8*d - 99389*d**2 + 99413*d**2 + 24 + 3*d**3 - 7*d**3 - 36*d.
-4*(d - 3)*(d - 2)*(d - 1)
Suppose 5*s + 4*u - 41 = 0, -4*s - 4*u + 0*u + 36 = 0. Factor -3*p**5 + 136*p**3 - 115*p**3 + 6*p**s - 24*p**4.
3*p**3*(p - 7)*(p - 1)
Let y(m) be the second derivative of -2*m**6/135 + m**5/18 - m**4/27 - 173*m - 5. Factor y(n).
-2*n**2*(n - 2)*(2*n - 1)/9
Let m(z) = -z**3 + 20*z**2 - 28*z - 56. Let g(w) = -46 - 8 - 29*w - w**3 + 19*w**2 - 1. Let v(a) = -7*g(a) + 6*m(a). Factor v(c).
(c - 7)**2*(c + 1)
Let h = -954409/3 - -318137. Find x such that -h*x**2 - 56/3*x - 392/3 = 0.
-14
Let y(b) be the second derivative of -b**4/126 + 344*b**3/63 - 29584*b**2/21 + 29*b. What is z in y(z) = 0?
172
Let h = 150 - 152. Let q be ((96/420)/h)/((-1)/10). Factor -q*a + 8/7 + 2/7*a**2.
2*(a - 2)**2/7
Let c(n) = 131*n + 922. Let w be c(-7). Let a(i) be the first derivative of 0*i - 12 + i**5 + 5*i**4 + w*i**2 + 25/3*i**3. Factor a(t).
5*t*(t + 1)**2*(t + 2)
Let n be ((-12)/(-14))/(855/6783)*68. Find i such that -136/5*i - n - 2/5*i**2 = 0.
-34
Let b be 18/(-35)*15100/(-4530). Suppose -4/7*o**3 - 8/7*o + b*o**2 + 0 = 0. Calculate o.
0, 1, 2
Let c(d) be the first derivative of 4*d**3/21 + 1868*d**2/7 + 872356*d/7 + 752. Suppose c(k) = 0. Calculate k.
-467
Let n = 424 + -422. Suppose -l - 5 = 2*j + 2*l, 0 = -2*j - 2*l - n. Factor 4/3*v + 1/3*v**3 + 0 - 4/3*v**j.
v*(v - 2)**2/3
Let n(j) be the first derivative of -1/9*j**6 + 0*j + 4/