t g = s + 125/274. Factor -g*b - 1/2*b**5 - 3*b**3 + 2*b**2 + 0 + 2*b**4.
-b*(b - 1)**4/2
Suppose 4*y + g = -11, 50*y = 47*y - 2*g - 2. Let l be -17 + 1533/91 - y/26. Factor -3/2*m**2 + 0*m**3 + m + 1/2*m**4 + l.
m*(m - 1)**2*(m + 2)/2
Let x = 483/965 - 58/193. Let n(h) be the second derivative of 0*h**3 + 0*h**2 + x*h**5 + 2/3*h**4 + 0 + 15*h - 2/15*h**6. Solve n(o) = 0 for o.
-1, 0, 2
Let r(y) = 493*y + 989. Let s be r(-2). Let p(b) be the first derivative of 5*b**4 - 15*b**2 - b**5 - 5/3*b**s + 0*b + 43. Factor p(l).
-5*l*(l - 3)*(l - 2)*(l + 1)
Let b(y) = -19*y**2 - 131*y - 258. Let u(o) = -42*o**2 - 261*o - 516. Let f(v) = -9*b(v) + 4*u(v). Find t, given that f(t) = 0.
-43, -2
Let u(k) be the first derivative of k**7/42 - k**6/24 - k**5/4 + 25*k**4/24 - 5*k**3/3 - 83*k**2/2 - 81. Let b(w) be the second derivative of u(w). Factor b(n).
5*(n - 1)**3*(n + 2)
Factor 44893*c**2 + 3*c**3 - 246 - 22531*c**2 - 22476*c**2 - 363*c.
3*(c - 41)*(c + 1)*(c + 2)
Let q = -153 + 193. Let i be 5 + 375/36*(-16)/q. Solve -1/3*p**2 + 0*p - i*p**3 - 1/6*p**5 - 2/3*p**4 + 0 = 0.
-2, -1, 0
Let i(n) be the first derivative of -5*n**4/4 - 40*n**3/3 + 95*n**2/2 - 50*n + 1338. Find a such that i(a) = 0.
-10, 1
Factor 23/2*s - 21 - 1/2*s**2.
-(s - 21)*(s - 2)/2
Suppose -80 = -c + 3*a, 304 = 4*c + 4*a - 0*a. Let b = -74 + c. Let 3*x**4 - 319*x**2 + 322*x**2 + 2*x**3 + 4*x**b = 0. Calculate x.
-1, 0
Let p(c) be the second derivative of 123*c + 0 - 2/55*c**5 + 15/22*c**4 + 37/11*c**2 - 26/11*c**3. Factor p(b).
-2*(b - 1)**2*(4*b - 37)/11
Factor 3814074 - 3814074 - 117*g - 3*g**3 - 48*g**2.
-3*g*(g + 3)*(g + 13)
Let b(x) = 284*x - 32. Let s be b(1). Let r be 3/s*12 - (-34)/7. Factor 0*h**3 + 0 + 1/3*h**r - 1/3*h + 2/3*h**2 - 2/3*h**4.
h*(h - 1)**3*(h + 1)/3
Let r = 35824 - 35822. Find m, given that 2/7*m**r - 16/7*m - 18/7 = 0.
-1, 9
Suppose -85 = 2*v - 3*d, -v - 3*d = v + 79. Let c = 43 + v. Factor -12*r + c*r**3 - 2*r**3 + 16*r**2 + 4*r**3 - 8*r**2.
4*r*(r - 1)*(r + 3)
Let v be ((-48)/(-32))/(6/8). Let d(k) = k**3 - 2*k**2 - 5*k + 12. Let s be d(6). Determine t, given that 208/7*t**v - s*t**4 - 32/7 + 96*t**3 - 128/7*t = 0.
-2/7, 2/3
Factor -426*c**3 - 347*c**3 + 381*c**2 - 4*c**4 - 52*c**2 + 241*c**3 + 207*c**2.
-4*c**2*(c - 1)*(c + 134)
What is t in 0 + 0*t + 2/9*t**5 - 22/9*t**4 - 80/9*t**3 - 56/9*t**2 = 0?
-2, -1, 0, 14
Let w be (39/65 - 4/(-60))/3. Let l = -395/3 + 133. Factor -2 - w*i**2 - l*i.
-2*(i + 3)**2/9
Let a(r) = 17*r + 37*r - 55*r + 1. Let t(f) = -3*f**4 - 11*f**3 - 11*f**2 - 8*f + 9. Let c(u) = 28*a(u) - 4*t(u). Suppose c(g) = 0. What is g?
-2, -1, 1/3
Let 1555848 - 1764*h + 1/2*h**2 = 0. Calculate h.
1764
Let n(l) be the first derivative of -10*l**3/3 + 78*l**2 + 998*l + 27. Let h(u) = -3*u**2 + 52*u + 333. Let f(s) = -16*h(s) + 5*n(s). Solve f(w) = 0.
-13
Let a(s) = 16462*s + 49389. Let w be a(-3). Let 28/17*p**w + 24/17*p**4 + 0 - 2/17*p**5 - 26/17*p - 24/17*p**2 = 0. Calculate p.
-1, 0, 1, 13
Let w(k) be the third derivative of 5*k**5/12 + 71*k**4/24 - 2*k**3 - 71*k**2 - 8. What is t in w(t) = 0?
-3, 4/25
Let u = -140023/2 - -70013. Determine q, given that 3*q**3 + 3/4*q + 0 + 1/4*q**5 - 5/2*q**2 - u*q**4 = 0.
0, 1, 3
Let y(g) = -3*g**3 - g**2 - 10*g - 1. Let f(v) = -16*v**3 - 68*v**2 - 280*v - 4. Let z(n) = -f(n) + 4*y(n). Factor z(b).
4*b*(b + 6)*(b + 10)
Let j(y) be the second derivative of -11/15*y**4 - 1/25*y**5 + 10/3*y**3 + 0 - 26/5*y**2 + 80*y. Factor j(g).
-4*(g - 1)**2*(g + 13)/5
Solve 48/5 - 2/15*k**3 - 44/15*k**2 + 34/5*k = 0 for k.
-24, -1, 3
Suppose -77 = -40*h + 3. Suppose 20*n**3 - 35*n + 13 - 9*n**2 + 2 - 5 - 9*n**h - 7*n**2 = 0. Calculate n.
-1, 1/4, 2
Suppose -225 = -3*l - 2*p + 6*p, l - 75 = -2*p. Factor 2180*y**3 + 45*y**2 - 1084*y**3 + 115*y + l - 1091*y**3.
5*(y + 1)*(y + 3)*(y + 5)
Let t(l) = -8*l**4 - 32*l**3 + 12*l**2 + 144*l + 8. Let o(y) = -15*y**4 - 65*y**3 + 25*y**2 + 288*y + 14. Let a(d) = -4*o(d) + 7*t(d). Solve a(p) = 0 for p.
-9, -2, 0, 2
Let f(r) be the third derivative of -r**6/60 + 16*r**5/15 + 35*r**4/3 + 48*r**3 - 373*r**2 + 1. Determine s so that f(s) = 0.
-2, 36
Let f(i) = 4*i**3 + 32*i**2 + 60*i + 16. Let t(k) = -2*k + 5*k - 3*k - 1 - k + 2. Let z(x) = -f(x) - 8*t(x). Factor z(p).
-4*(p + 1)**2*(p + 6)
Let n(a) = 3*a**3 - 218*a**2 + 2632*a - 8000. Let o(q) = -4*q**3 + 220*q**2 - 2633*q + 8002. Let i(w) = -10*n(w) - 8*o(w). Solve i(c) = 0 for c.
-222, 6
Suppose 8*h + 84 = 10*h. Let b = -40 + h. What is o in 3*o**3 - b*o**3 - 15*o + 18*o**2 - 5*o**3 + o**3 = 0?
0, 1, 5
Factor 1575*b**2 + 20*b**3 - 7*b**3 + b**4 - 1535*b**2.
b**2*(b + 5)*(b + 8)
Suppose -98*r = 8*z - 103*r + 9, -4*z + 4*r - 12 = 0. Find d, given that 28/3*d + 1/3*d**z + 0 = 0.
-28, 0
Let s be 9/((-22)/1364*(0 - 2)). Let t = s + -277. Factor 0*i**3 - 1/2 - 1/2*i**4 + 0*i + i**t.
-(i - 1)**2*(i + 1)**2/2
Factor 1048/5*f - 3146/15 + 2/15*f**2.
2*(f - 1)*(f + 1573)/15
Let y(z) = 2*z**4 + 124*z**3 - 2*z**2 - 88*z - 24. Let g(u) = -u**4 - 74*u**3 + u**2 + 53*u + 14. Let j(r) = 12*g(r) + 7*y(r). Factor j(n).
2*n*(n - 10)*(n - 1)*(n + 1)
Let 2/5*y**3 - 198/5 + 62/5*y**2 - 138/5*y = 0. Calculate y.
-33, -1, 3
Find t, given that 22*t + 30*t - 105770 + 106010 - 2*t**2 = 0.
-4, 30
Let g be (-10)/(-85) + 18/(-153). Let y(d) be the first derivative of 1/2*d**6 + g*d + 0*d**5 + 14 - 3/4*d**4 + 0*d**3 + 0*d**2. Factor y(b).
3*b**3*(b - 1)*(b + 1)
Let s be ((-3)/(-5)*-2)/(2006/1770). Let c = s - -124/85. Factor c*i**2 + 4/5*i - 6/5.
2*(i - 1)*(i + 3)/5
Let y(w) be the first derivative of -2/3*w**2 + 0*w - 8/9*w**3 - 1/15*w**5 - 5/12*w**4 - 78. Find p, given that y(p) = 0.
-2, -1, 0
Solve -16169*n**4 - 2025*n**5 - 224 + 3120*n - 2663*n**4 + 2383*n**2 - 18175*n**2 - 6998*n**4 + 34136*n**3 = 0.
-14, 2/9, 2/5
What is o in 100*o + 11879*o**3 - 3630*o**2 - 4205*o**4 - 95*o - 3759*o**3 - 120*o - 5 - 165*o = 0?
-1/29, 1
Let l(h) be the second derivative of -h**6/2700 - 2*h**5/225 - 7*h**4/180 - 31*h**3/3 - 11*h - 3. Let a(n) be the second derivative of l(n). Factor a(b).
-2*(b + 1)*(b + 7)/15
Let h(u) be the third derivative of 0*u**3 + 0*u**4 + 1/180*u**7 - 79*u**2 + 1/72*u**5 + 0*u - 1/2016*u**8 - 2 - 11/720*u**6. Factor h(b).
-b**2*(b - 5)*(b - 1)**2/6
Let b(u) = -u. Let l(a) = a**2 + 9*a. Let d = -39 - -59. Let m = d - 17. Let x(c) = m*l(c) + 21*b(c). Let x(p) = 0. Calculate p.
-2, 0
Let r(o) be the second derivative of o**7/168 - 37*o**6/20 + 441*o**5/80 - 55*o**4/12 - 119*o + 2. Factor r(m).
m**2*(m - 220)*(m - 1)**2/4
Let d(r) be the second derivative of 0*r**2 + 104*r - 1/6*r**6 - 27/4*r**5 + 5/12*r**4 + 0 + 45/2*r**3. Let d(s) = 0. Calculate s.
-27, -1, 0, 1
What is v in 220*v + 239*v**3 - 819 - 1093*v - 77 - 179*v - 243*v**3 - 160*v**2 = 0?
-32, -7, -1
Suppose 3383 = 382*w + 2237. Factor -5/3*i - 2/3*i**4 - 4*i**w + 1/3*i**5 + 0 - 14/3*i**2.
i*(i - 5)*(i + 1)**3/3
Let b(w) be the third derivative of w**5/20 - 17*w**4/8 + 4762*w**2. Solve b(o) = 0.
0, 17
Let v(g) be the third derivative of -g**5/60 + g**4/12 + g**3/6 - 214*g**2 - g. Let p(k) = -6*k**2 + 89*k + 7. Let c(w) = 5*p(w) - 35*v(w). Factor c(t).
5*t*(t + 75)
Let a(d) be the second derivative of -d**4/24 - 16*d**3 - 2304*d**2 - 28*d - 3. Factor a(x).
-(x + 96)**2/2
Let t(q) be the third derivative of 7 + 0*q - 9*q**2 - 71/60*q**4 - 1/120*q**6 + 4/3*q**3 + 107/300*q**5. Factor t(f).
-(f - 20)*(f - 1)*(5*f - 2)/5
Solve 17*r**3 - 54 - r**4 - 17*r + 22*r**3 - 45*r**3 + 55*r**2 + 31*r**3 - 8*r = 0.
-2, -1, 1, 27
Let -3*d**2 - 24 + 1/7*d**3 + 122/7*d = 0. Calculate d.
2, 7, 12
Let w(v) = -v**2 + 282*v + 41132. Let j be w(-106). Find g, given that 1/3*g**j - 7/3*g**3 + 0 - 3*g - 17/3*g**2 = 0.
-1, 0, 9
Let n be (-3 + -2)*2376/(-90). Suppose 123*t - n*t = 0. Factor -2/5*i**3 + t*i + 0 - 4/5*i**2.
-2*i**2*(i + 2)/5
Let i(a) = -7*a + 4*a - 7 + a**2 + 0*a. Let f be i(5). Solve -3*b + 12*b**3 + 4*b**5 + f*b + 8*b**4 - 8*b**3 = 0 for b.
-1, 0
Suppose -19*w - 25 = -24*w. Suppose m - w*j = -2*j + 9, -5*m = -2*j - 19. Factor 5*x**5 - 4*x**2 - m*x**5 - 5*x**3 - x**3 + 0*x**5.
2*x**2*(x - 2)*(x + 1)**2
Let i(f) be the second derivative of -f**9/3780 + f**7/315 - f**5/30 + 7*f**4/4 + f**3/6 - f + 4. Let p(g) be the third derivative of i(g). Factor p(n).
-4*(n - 1)**2*(n + 1)**2
Let s(b) = 5*b**5 + 6*b**4 - 5*b**3 -