*52/39. Suppose -4/5*k + n - 2/5*k**2 = 0. Calculate k.
-4, 2
Let c(p) = 630*p + 91999. Let j be c(-146). Determine s, given that j*s + 1/2*s**2 + 37/2 = 0.
-37, -1
Factor -796/5*q + 4/5*q**3 + 984/5 + 144/5*q**2.
4*(q - 3)*(q - 2)*(q + 41)/5
Let t(h) be the second derivative of 80/9*h**3 - 64/3*h**2 - 17/18*h**4 + 0 + 1/30*h**5 - 22*h. Let t(c) = 0. What is c?
1, 8
Let y = -12 - -15. Let q be y - (4 - (1 - -4)). Solve 54*w**q - 53*w**4 - 12*w**3 + 20*w + 46*w**2 - 80*w + 25 = 0.
1, 5
Factor -3087571 - 2863679 - 2*v**2 + 4498*v + 2402*v.
-2*(v - 1725)**2
Solve 21/5*l**2 + 147/5 + 1032/5*l = 0 for l.
-49, -1/7
Suppose 2732 = -13*x + 2732. Let u(g) be the first derivative of -1/4*g**3 + 3/20*g**5 + 0*g**2 + 0*g + x*g**4 + 1. Suppose u(s) = 0. What is s?
-1, 0, 1
Let h(w) be the first derivative of -16/9*w**2 + 40/9*w + 1/18*w**4 + 2/27*w**3 - 263. Suppose h(k) = 0. Calculate k.
-5, 2
Suppose 2/11*g**4 + 72/11 - 34/11*g**2 - 48/11*g + 8/11*g**3 = 0. Calculate g.
-6, -2, 1, 3
Factor -32/3*r**3 + 400/3 + 2/3*r**4 + 62*r**2 - 460/3*r.
2*(r - 5)**2*(r - 4)*(r - 2)/3
Solve 0 - 159048*g**2 + 15/2*g**5 + 0*g - 5649/2*g**4 + 266772*g**3 = 0.
0, 3/5, 188
Determine w, given that -3*w**3 + 4*w + 0 - 1/2*w**4 + 1/2*w**5 + 2*w**2 = 0.
-2, -1, 0, 2
Let q(u) be the third derivative of -u**5/12 + 125*u**4/4 - 2115*u**3/2 - 55*u**2 + 11*u - 1. Factor q(z).
-5*(z - 141)*(z - 9)
Let z(c) be the second derivative of -c**7/70 + 6*c**6/5 - 87*c**5/50 - 3*c**4 + 59*c**3/10 + 5135*c. Let z(k) = 0. Calculate k.
-1, 0, 1, 59
Suppose -4/5*i**2 + 0 - 2/15*i**3 + 14/15*i = 0. Calculate i.
-7, 0, 1
Suppose -f + 24 = -4*k, 5*k - 7 = 2*f - 49. Suppose -12*j + f = -4*j. Factor -4*i**j + 4/3*i + 8/3.
-4*(i - 1)*(3*i + 2)/3
What is g in -1705*g**3 + 844*g**4 - 8 + 37*g**3 - 10742476*g + 231852*g**2 - 840*g**4 + 8 = 0?
0, 139
Suppose -20 = -4*s, -z + s = -4*s + 23. Factor -19*x**2 - 3*x**4 + 14*x**3 + 35*x**2 - 16*x**z.
-x**3*(3*x - 14)
Let u(w) be the third derivative of w**8/1344 + w**7/504 - w**6/72 - w**4/12 + 5*w**3/2 - 119*w**2. Let g(m) be the second derivative of u(m). Factor g(i).
5*i*(i - 1)*(i + 2)
Let m be 10 + (-7 - 0) - -1. Let z(q) be the first derivative of 0*q - 10 - 1/12*q**3 - 1/16*q**m + 1/4*q**2. Factor z(i).
-i*(i - 1)*(i + 2)/4
Let g(x) be the first derivative of 3*x**5 + 81*x**4/4 + 45*x**3 + 87*x**2/2 + 18*x + 1581. Suppose g(i) = 0. What is i?
-3, -1, -2/5
Let u(a) be the second derivative of 0 - 13/24*a**3 - 3/2*a**2 - 1/48*a**4 + 37*a. Factor u(k).
-(k + 1)*(k + 12)/4
Let d(g) be the second derivative of -g**5/180 + 13*g**4/72 - 93*g**2 + 8*g - 6. Let q(j) be the first derivative of d(j). What is y in q(y) = 0?
0, 13
Let i(d) be the first derivative of -d**5/35 - 17*d**4/28 - 2*d**3/3 + 16*d**2/7 - 1303. Factor i(k).
-k*(k - 1)*(k + 2)*(k + 16)/7
Let s be (-2650)/(-14) - ((-188)/28 + 7). Suppose -30 + 5*z**3 - 125*z - 99*z + s*z = 0. What is z?
-2, -1, 3
Let x = -9468 + 9472. Let t(y) be the second derivative of 10/27*y**3 + 8/9*y**2 + 1/27*y**x + 30*y + 0. Factor t(q).
4*(q + 1)*(q + 4)/9
Factor -122*g**2 - 207*g - 116*g**2 - 129*g**2 + 489*g**2 - 780 - 125*g**2.
-3*(g + 4)*(g + 65)
Suppose 0 = 3*a - 7*a + 32. Let f be 6/8 + (3 - (-13167)/76). Suppose f - d**2 - 3*d**4 - 3*d**2 + a*d**3 - 177 = 0. What is d?
0, 2/3, 2
Suppose 825/7*v - 276/7 + 9/7*v**2 = 0. What is v?
-92, 1/3
Let n(x) = 3*x**3 - 9*x**2 + 2*x + 13. Let m be n(4). Let h be (43/21 - 2)/(m/161). What is l in -h*l**2 + 4/9*l**3 + 0*l + 0 = 0?
0, 1/4
Let s(y) be the third derivative of -y**5/72 - 5*y**4/9 + 400*y**2. Factor s(g).
-5*g*(g + 16)/6
Factor 1464/7 - 207/7*s + 3/7*s**2.
3*(s - 61)*(s - 8)/7
Suppose -126*k = -118*k - 16. Suppose 241*p**2 - p - 225*p**k - 35 + 17*p - 4*p**3 - 29 = 0. Calculate p.
-2, 2, 4
Suppose 11236*i = 11168*i. Factor 4/17 + 6/17*q - 2/17*q**3 + i*q**2.
-2*(q - 2)*(q + 1)**2/17
Let n(b) = 4*b**2 - 73*b - 81. Let x be n(19). Let k be 60/x*4/(-115). Solve 0 - k*c**2 + 2/23*c = 0 for c.
0, 1
Suppose 0 = -624*f - 2010*f + 3430 + 1838. Find c, given that 2*c**4 + c**3 + 0 + 1/2*c**5 - 2*c**f - 3/2*c = 0.
-3, -1, 0, 1
Let r(o) be the first derivative of -110 - 2/15*o**5 + 0*o - 5/9*o**4 - 2/9*o**3 + 0*o**2. What is j in r(j) = 0?
-3, -1/3, 0
Let n(m) be the third derivative of m**5/180 - 125*m**4/72 + 1409*m**2. What is w in n(w) = 0?
0, 125
Let p = 3860 + -3856. Let t(r) be the second derivative of -2/45*r**6 + 0*r**2 - 4*r + 0*r**3 + 1/36*r**p - 1/20*r**5 + 0. Factor t(d).
-d**2*(d + 1)*(4*d - 1)/3
Suppose -y = 4*m - 81, -5*m + 16*y - 20*y = -104. Let z be (-3)/(-4) - m/48*-3. Find t such that 0 - 1/6*t**z - 1/2*t = 0.
-3, 0
Let y(m) be the second derivative of 0 - 1/130*m**5 - 91*m - 3/13*m**4 + 200/13*m**2 - 20/13*m**3. Solve y(c) = 0.
-10, 2
Let y(x) = -9*x + 228. Let p be y(25). Let z be ((-508)/108 - -5)/(2/p). Factor -2/3 - z*k + 2/9*k**2.
2*(k - 3)*(k + 1)/9
Suppose 3*w = 980 - 188. Suppose w = 5*s - 56. Suppose -48*l**2 + 12*l**3 - s*l**3 - 20*l - 24*l**4 - 4*l**5 + 4*l = 0. Calculate l.
-2, -1, 0
Let -429/7*z**2 + 30*z**3 + 0 + 3/7*z**4 + 216/7*z = 0. What is z?
-72, 0, 1
Suppose -s - 5*d = -12, -s - 4*s = -d - 164. Factor -28*v**2 - 49*v + 5 - 71*v - 17 + s*v.
-4*(v + 3)*(7*v + 1)
Let 0 - 449352/7*x**2 + 1896/7*x**3 + 0*x - 2/7*x**4 = 0. Calculate x.
0, 474
Let b(i) be the second derivative of -5*i**7/42 + 3*i**6 - 21*i**5 + 190*i**4/3 - 80*i**3 - 2*i + 158. Factor b(m).
-5*m*(m - 12)*(m - 2)**3
Let q(v) be the first derivative of v**7/7980 + v**6/3420 - v**5/570 - 2*v**3/3 + 25*v**2/2 - 39. Let x(j) be the third derivative of q(j). Factor x(t).
2*t*(t - 1)*(t + 2)/19
Find g, given that -5046668 - 984*g + 2*g**2 + 5046668 = 0.
0, 492
Let c be 22 + 44 + -49 - (-246)/14. Determine o so that 44/7*o - 2/7*o**2 - c = 0.
11
Let i(g) be the second derivative of 1/6*g**3 - 1/80*g**5 - 1/16*g**4 + 0 - 22*g + 0*g**2. Factor i(x).
-x*(x - 1)*(x + 4)/4
Let f = -8336245/11 + 758456. Let u = f - 615. Determine l so that -6/11*l**2 + 2/11*l**3 + u*l - 2/11 = 0.
1
Suppose 365*m + 397*m - 12589*m**4 + 2*m**5 + 608*m**2 + 12517*m**4 + 52*m**3 + 280 = 0. What is m?
-1, 4, 35
Let v(l) be the third derivative of -5*l**8/336 + 13*l**7/21 - 49*l**6/24 + 2*l**5 + 4329*l**2. Factor v(h).
-5*h**2*(h - 24)*(h - 1)**2
Let l(r) be the second derivative of 4/7*r**2 - 5*r + 1/42*r**4 + 3/70*r**5 - 3 - 8/21*r**3. Suppose l(t) = 0. What is t?
-2, 2/3, 1
Let h be -1 - 17/(-119)*-52 - -9. Let 0 + 2/7*u**2 + 6/7*u**3 - 2/7*u**4 - 2/7*u**5 - h*u = 0. What is u?
-2, -1, 0, 1
Let f = -3258358/9 + 362040. Factor -4/3*w**3 + 0*w**4 + 16/9*w**2 + f*w**5 + 0 - 2/3*w.
2*w*(w - 1)**3*(w + 3)/9
Let y(i) be the first derivative of -i**4/48 + i**3/6 - i**2/2 - 201*i + 104. Let x(j) be the first derivative of y(j). Factor x(n).
-(n - 2)**2/4
Determine v, given that 11*v - 40*v - 360 + 3*v**2 - 8*v - 5*v = 0.
-6, 20
Let z(i) be the third derivative of -i**5/80 + 145*i**4/4 - 42050*i**3 - 241*i**2. Factor z(u).
-3*(u - 580)**2/4
Let v be (-7 + 1563/(-6))*4/(-5). Let b = v + -640/3. Factor 0 - 4/3*l + b*l**2.
2*l*(l - 2)/3
Let a = 619014 - 619014. Factor 4/5*c**3 + 0*c - 2/5*c**4 + 6/5*c**2 + a.
-2*c**2*(c - 3)*(c + 1)/5
Let k(g) = 7*g**3 - 334*g**2 + 647*g - 330. Let s(r) = -r**3 + 3*r. Let n(j) = -k(j) - 5*s(j). Factor n(h).
-2*(h - 165)*(h - 1)**2
Let o = -124 - -108. Let k be 20/(-2) - (o - 10). Factor -19*l**2 - 5/2*l**3 - 32*l + k.
-(l + 4)**2*(5*l - 2)/2
Let g(d) be the third derivative of -1/360*d**5 - 32 + 0*d + 5/36*d**3 - d**2 - 1/36*d**4. Solve g(c) = 0.
-5, 1
Factor 511707/2*y**2 + 150 + 12390*y.
3*(413*y + 10)**2/2
Let q(f) be the first derivative of -4/5*f**5 + 80 - 8*f**2 + 8*f**4 + 80*f - 20*f**3. Factor q(g).
-4*(g - 5)*(g - 2)**2*(g + 1)
Let x be ((-14)/(-252))/(8/54). Let q(r) be the first derivative of -6 - r**3 - x*r**4 + 9/4*r**2 + 0*r. Factor q(c).
-3*c*(c - 1)*(c + 3)/2
Let c = 10 + -5. Suppose -c*y + z = -102, -y = -4*y + z + 60. Determine v, given that v**3 - 26 - 2*v**2 - y + 47 = 0.
0, 2
Let k be 4800/1375 + -12 + (-672)/(-70). Factor 14/11*g - 2/11*g**3 + 0 + k*g**2.
-2*g*(g - 7)*(g + 1)/11
Suppose -3*v - 398 + 422 = v. Let h(k) be the second derivative of 4/3*k**3 - 10*k - 1/3*k**4 + 0 - k**5 + 0*k**2 - 4/15*k**v. Suppose h(y) = 0. Calculate y.
-2, -1, 0, 1/2
Let q be 10*