0, 1
Let h(m) = 3090*m - 27810. Let q be h(9). Suppose -4*j + 0*k = 3*k, 0 = -2*j + 5*k + 26. Factor q + 3/4*v - 1/4*v**j + 1/2*v**2.
-v*(v - 3)*(v + 1)/4
Let i be (-3 - (20 - 0)) + 12 - -15. Find l such that 66/7*l**3 + 24/7*l**i + 27/7*l + 3/7*l**5 + 0 + 72/7*l**2 = 0.
-3, -1, 0
Let t(p) = 51*p**2 + 4924*p + 6086094. Let q(f) = -10*f**2 + 2*f - 1. Let j(x) = -10*q(x) - 2*t(x). Factor j(n).
-2*(n + 2467)**2
What is s in -66 + 30*s**2 + 46*s**2 - 59 - 824*s - 7 = 0?
-3/19, 11
Let l(h) be the third derivative of 4*h**7/1575 + 49*h**6/900 + 28*h**5/225 + 11*h**4/180 + 31*h**2 + 3*h + 3. Find x such that l(x) = 0.
-11, -1, -1/4, 0
Let q(o) be the third derivative of o**8/13440 - o**7/480 + o**6/48 + 19*o**5/12 - 245*o**2. Let f(y) be the third derivative of q(y). Factor f(r).
3*(r - 5)*(r - 2)/2
Let d(o) = 7*o**2 + 7*o - 8. Suppose -14*m - 357 = 37*m. Let y(n) = 26*n**2 + 20*n - 25. Let b(v) = m*d(v) + 2*y(v). Let b(a) = 0. Calculate a.
1, 2
Let y(l) = l**3 + 3*l**2 - 2*l - 4. Let j be y(-2). Factor h**j - 4*h**3 - 6*h**2 + 2 + 4 + 0 + 4*h - 1.
(h - 5)*(h - 1)*(h + 1)**2
Factor -92*o**2 - 22*o + 28*o**4 - 34*o - 12*o**3 - 6806*o**5 + 6810*o**5.
4*o*(o - 2)*(o + 1)**2*(o + 7)
Solve -10*b**2 + 5430*b + 6*b**2 - 7454*b = 0.
-506, 0
Factor 0 - 33/2*m**3 - 24*m + 39*m**2 + 3/2*m**4.
3*m*(m - 8)*(m - 2)*(m - 1)/2
Let i(j) be the second derivative of 0*j**2 + 0 - 11/6*j**3 + 2*j + 0*j**4 + 1/1980*j**6 + 0*j**5. Let t(m) be the second derivative of i(m). Factor t(r).
2*r**2/11
Let d be (776/(-6))/(116/(-870)). Let s be 0 + 4 + 7 + d/(-90). Determine v, given that -4/9*v**3 - 2/9*v**4 + s*v**2 + 0 + 4/9*v = 0.
-2, -1, 0, 1
Let u be (-12)/(-52)*(-2 - -15). Let i = 106/7 - 177/14. Factor 0*a + 0 - 4*a**u + i*a**4 - 2*a**2.
a**2*(a - 2)*(5*a + 2)/2
Suppose -19 = 9*l - 55. Let v be l/(-3) - 50/(-15). Determine c, given that 48*c**v + 4*c - 51*c**2 + 6 - c = 0.
-1, 2
Let k(n) be the second derivative of n**4/36 + 232*n**3/9 + 67*n. Find l such that k(l) = 0.
-464, 0
Let z(w) = -10 + 403*w + 12*w**2 + 476*w - 937*w. Let d(n) = -n**2 + 4*n + 1. Let k(h) = 10*d(h) + z(h). Determine v, given that k(v) = 0.
0, 9
Let w(v) be the third derivative of v**5/420 + 107*v**4/168 + 5*v**3 + 4*v**2 + 686. Suppose w(d) = 0. Calculate d.
-105, -2
Let k = 168 - 669/4. Let h be ((-12)/54)/(54/(-486)). Factor k - 3/4*y**h + 0*y.
-3*(y - 1)*(y + 1)/4
Let k be (-6)/((-5)/(-35) - 26/(-112)). Let q be (-45)/60 - (4/k - 3). Solve -3/2*f**2 + 0 - q*f = 0 for f.
-5/3, 0
Suppose 3*g = -t + 7*g + 28, 4*g + 112 = 4*t. Let f be (12/28)/(4/t). Suppose 3*i**f + 11*i**2 + i - 1 + i**4 - 8*i**2 + 1 = 0. Calculate i.
-1, 0
Let i(q) be the second derivative of -2*q**6/15 - 6*q**5/5 - 8*q**4/3 + 6*q + 259. Factor i(x).
-4*x**2*(x + 2)*(x + 4)
Let m be (4/10)/(4176/5220). What is v in -m*v**3 + 3*v + 1/2*v**2 + 0 = 0?
-2, 0, 3
Let q(r) = r**3 - 25*r**2 - r + 1. Let s(l) = 23*l**3 - 61*l**2 - 98*l - 116. Let x(n) = -12*q(n) + 3*s(n). Suppose x(m) = 0. Calculate m.
-3, -20/19, 2
Let h be 10/(-10) - 2*-19. Suppose -h = -2*u - 5*z, u + z + 9 = 20. Solve -u*y**2 + 8*y + 17*y**3 - 6*y + 25*y**2 = 0 for y.
-1, -2/17, 0
Suppose 3*t = 5*w - 1, 34*w - 37*w + 12 = 2*t. Let h(q) be the first derivative of 0*q + 4/33*q**3 + 1/44*q**4 + 2/11*q**w - 9. Let h(f) = 0. What is f?
-2, 0
Let c be ((-4256)/(-1216))/((-14)/(-44)) + (-13 - -2). Factor c + 35/2*l**2 + 5/6*l**4 - 55/3*l**3 + 0*l.
5*l**2*(l - 21)*(l - 1)/6
Let c(h) be the third derivative of -h**5/330 + 29*h**4/66 + 40*h**3/11 - 481*h**2. Let c(w) = 0. Calculate w.
-2, 60
Let n be (-6)/(-189)*(-3)/(-1)*77/4. Suppose -3*k - k = -8. Factor -3/2*g**4 + n*g**2 - 1/3*g - k*g**3 + 0.
-g*(g + 2)*(3*g - 1)**2/6
Suppose -8 = -4*x, 4*w - 2*x + 7*x = 62. Suppose 11 - w = -j. Factor 5 - 6*p - p**j - 4*p - 30.
-(p + 5)**2
Let s(o) be the first derivative of o**3/6 - 81*o/2 - 443. Factor s(a).
(a - 9)*(a + 9)/2
Let x(z) be the first derivative of -1/4*z**4 - 2*z + 3/2*z**2 + 0*z**3 + 28. Determine n so that x(n) = 0.
-2, 1
Let p(d) = -35*d**2 - 295*d - 864. Let q(x) = 156*x**2 + 1179*x + 3456. Let u(c) = -9*p(c) - 2*q(c). Find m such that u(m) = 0.
-96, -3
Let m(p) be the second derivative of -3/22*p**4 - 283*p - 2/11*p**2 - 1/22*p**5 - 1/165*p**6 + 0 - 7/33*p**3. Factor m(f).
-2*(f + 1)**3*(f + 2)/11
Solve 0*a + 2/7*a**5 + 0 + 0*a**2 + 16/7*a**3 - 18/7*a**4 = 0 for a.
0, 1, 8
Let i be 8/(-7)*(115 - -6)*(-1)/4. Factor 2/7*b**2 - 44/7*b + i.
2*(b - 11)**2/7
Let v(w) = 4*w**2 + 4*w + 28. Let y(r) = 5*r**2 + 4*r + 30. Let f = 861 - 868. Let c(p) = f*v(p) + 6*y(p). Factor c(a).
2*(a - 4)*(a + 2)
Let u = -10/3 + 4. Let b be 39/30*1880/14664. Suppose -2/3 + u*m - b*m**2 = 0. What is m?
2
Factor 1/2*o**2 + 169/2 + 13*o.
(o + 13)**2/2
Suppose -86*c = -11*c - 40 - 185. Factor 2/15*l**c - 2/15*l + 0*l**2 + 0.
2*l*(l - 1)*(l + 1)/15
Let k(f) be the first derivative of f**3/7 - 885*f**2/14 - 3588*f/7 + 7146. Factor k(i).
3*(i - 299)*(i + 4)/7
Let g(v) be the second derivative of -5*v + 5/3*v**4 + 20*v**2 - 18*v**3 - 17. Factor g(p).
4*(p - 5)*(5*p - 2)
Let i(k) be the third derivative of 1/135*k**6 + 0 + 1/3024*k**8 + 0*k**4 - 188*k**2 + 0*k**3 + 0*k + 0*k**5 - 1/315*k**7. Let i(o) = 0. Calculate o.
0, 2, 4
Suppose 25*g + 35*g = 180. Let q(b) be the second derivative of -4/15*b**g + 0 - 1/30*b**4 + 7*b - 4/5*b**2. Let q(l) = 0. Calculate l.
-2
Let x = 1 + 3. Let n be 7*2/(-1)*(-2)/x. Factor -2*y**2 - 96*y**3 + 102*y**3 + y + n*y**2.
y*(2*y + 1)*(3*y + 1)
Let 295 + 231 + 940*c**2 - 664*c - 274*c**3 - 862 + 6*c**4 = 0. What is c?
-1/3, 2, 42
Let y(w) be the second derivative of -11*w**5/5 + 23*w**4/6 + 43*w**3/3 - 2*w**2 + 2*w + 2628. Find i such that y(i) = 0.
-1, 1/22, 2
Factor 121 + 9 - 301*j + 60 - 5*j**3 - 84*j + 200*j**2.
-5*(j - 38)*(j - 1)**2
Suppose -30*g = -6*g - 720. Suppose -g - 32*p - 109*p**2 + 50*p**2 + 57*p**2 = 0. Calculate p.
-15, -1
Let p(r) = 3*r**3 - r**2 + 3*r - 6. Let q be p(2). Solve -276*h**2 + 14*h + q + h + 271*h**2 = 0 for h.
-1, 4
Find t, given that -185*t**2 + 8112 + 235*t**2 + 168*t**3 + 8736*t + 1425*t**2 + 3*t**4 + 211*t**2 + 978*t**2 = 0.
-26, -2
Let u(g) be the first derivative of g**6/3 - 4*g**5/5 - g**4 + 8*g**3/3 + g**2 - 4*g - 2696. Determine i so that u(i) = 0.
-1, 1, 2
Let n(h) = 23*h**2 - 303*h + 1013. Let x(v) = 11*v**2 - 151*v + 506. Let u(m) = -6*n(m) + 13*x(m). Determine c, given that u(c) = 0.
4, 25
Let t(f) be the first derivative of -2*f**5/45 + 11*f**4/18 - 26*f**3/9 + 5*f**2 - 186. Determine w, given that t(w) = 0.
0, 3, 5
Let x be 16158/21 - (55 - 109 - -52). Factor 6/7*k**2 + x - 360/7*k.
6*(k - 30)**2/7
Let y be (-3)/((-117)/(-6)) - (-13530)/4290. Let r(t) be the second derivative of -2/9*t**2 + 6*t + 1/9*t**y + 0 - 1/54*t**4. Find n, given that r(n) = 0.
1, 2
Let b(x) be the third derivative of x**6/1020 + 71*x**5/255 + 1147*x**4/51 - 10952*x**3/17 + 2831*x**2. Factor b(h).
2*(h - 6)*(h + 74)**2/17
Suppose -844*n + 762*n + 132 = -32. Factor 4/5*g**n - 81/5*g + 4.
(g - 20)*(4*g - 1)/5
Factor -6/5*o**3 - 7/5*o**2 + 1/5*o**4 + 0*o + 0.
o**2*(o - 7)*(o + 1)/5
Suppose 0*t = 7*t - 28. Factor -10*v + t*v - 35 + 11 + 3*v**2.
3*(v - 4)*(v + 2)
Let y = -11 - 15. Let u be (-4)/y - 77/(-91). Factor -u + p**2 + 1 + p**2.
2*p**2
Let u(g) be the third derivative of -5 + 0*g + 1/270*g**5 + 1444/27*g**3 + 19/27*g**4 + 28*g**2. Solve u(i) = 0 for i.
-38
Suppose -5*z + 6*z - 11 = 0. Let u(h) be the third derivative of -2/63*h**4 - 1/630*h**5 + 0*h - z*h**2 - 16/63*h**3 + 0. Find o, given that u(o) = 0.
-4
Let s(r) be the second derivative of r**7/56 - 3*r**6/40 + 9*r**5/80 - r**4/16 + 50*r + 1. Factor s(y).
3*y**2*(y - 1)**3/4
Factor -1/3*d**4 + 49*d - 31/3*d**3 - 25/3*d**2 - 30.
-(d - 1)**2*(d + 3)*(d + 30)/3
Let v be 7/56 + (-1250)/(-240). Let k(s) be the first derivative of v*s**3 - 12/5*s**5 + 3 + 2*s**4 - 4*s + 0*s**2 - 4/3*s**6. What is o in k(o) = 0?
-1, 1/2, 1
Let j(b) be the second derivative of -39*b**4 + 41*b**3/2 + 15*b**2 + b - 2521. Factor j(x).
-3*(12*x - 5)*(13*x + 2)
Let d(a) be the third derivative of -a**7/630 - 7*a**6/360 + 4*a**5/45 + 13*a**4/18 - 16*a**3/3 - 467*a**2. Determine o, given that d(o) = 0.
-8, -3, 2
Let m = 24324/20245 + -6/4049. Solve m*t**2 + 0*t**3 - 3/5*t**5 + 0 + 3/5*t - 6/5*t**4 = 0 for t.
-1, 0, 1
Let h(