j**5/5 - 105. Suppose v(b) = 0. What is b?
0, 68
Let n(c) be the first derivative of -2*c**4 - 46*c**3/3 + 6*c**2 - 140. Factor n(g).
-2*g*(g + 6)*(4*g - 1)
Let p(m) be the second derivative of -m**8/16800 + m**7/3150 + 7*m**6/1800 + m**5/75 + 7*m**4/12 - 3*m. Let z(i) be the third derivative of p(i). Factor z(j).
-2*(j - 4)*(j + 1)**2/5
Let k(v) be the first derivative of -16*v**5/95 - v**4/19 + 6*v**3/19 + 2*v**2/19 - 2*v/19 - 222. Solve k(r) = 0.
-1, -1/2, 1/4, 1
Let v be 7/147*(30 + -2 + 2). Determine h so that -8/7*h**3 - 32/7*h**4 + 36/7*h**2 + 18/7*h**5 - v*h - 4/7 = 0.
-1, -2/9, 1
Factor 2/3*j**2 + 2 - 8/3*j.
2*(j - 3)*(j - 1)/3
Let a be (1 + 0)*(-34 + 28). Let j = 15/2 + a. Factor 0 + 3/2*s**3 - 1/2*s**4 + 1/2*s - j*s**2.
-s*(s - 1)**3/2
Let -1/6*w**3 - 1/2*w**2 + 1/6*w + 1/2 = 0. Calculate w.
-3, -1, 1
Let -b**3 + 18*b**2 - 20*b - 127 + 2*b**3 + b**5 - 4*b**2 - 4*b**4 + 135 = 0. Calculate b.
-2, 1, 2
Let r(u) be the third derivative of 0 - 7/75*u**5 + 55*u**2 - 1/525*u**7 + 2/15*u**4 + 0*u + 0*u**3 + 7/300*u**6. Factor r(z).
-2*z*(z - 4)*(z - 2)*(z - 1)/5
Let j(t) be the first derivative of -t**5 + 15*t**4/2 - 55*t**3/3 + 15*t**2 - 68. Factor j(y).
-5*y*(y - 3)*(y - 2)*(y - 1)
Suppose 0 = 14*x - 8*x - 72. Let -4*d**2 - 7*d**2 + 16*d**3 - x*d + 7*d**2 + 8 - 4*d**5 - 4*d**2 = 0. Calculate d.
-2, -1, 1
Let i(n) = -n**2 + 3*n + 2. Let y be i(4). Let w be 1 - (-3 + y + 2). Factor w*s + 10*s**4 - 21*s**4 - 2*s**3 + 10*s**4 - s**3.
-s*(s - 1)*(s + 2)**2
Let r(b) = 2*b**2 + b - 3. Let u be r(-3). Let n = u - 3. Solve -3*x**4 + 4*x**4 + n*x**3 - 6*x**2 - 6*x**4 + 2*x**4 = 0.
0, 1, 2
Factor 0*n**2 + 0 + 2/5*n**4 - 4*n**3 + 0*n.
2*n**3*(n - 10)/5
Suppose 8*t - 92 = 20. Suppose 11*h - t*h = -9. Factor -1/3*u**h + 0 + 2/3*u**2 + 0*u.
-u**2*(u - 2)/3
Let g(k) be the third derivative of 2*k**7/105 + 8*k**6/15 - 18*k**5/5 + 28*k**4/3 - 38*k**3/3 - 194*k**2. Suppose g(n) = 0. What is n?
-19, 1
Let b(n) be the second derivative of -3/16*n**4 - 2*n**2 + 30*n + n**3 + 1/80*n**5 + 0. Factor b(c).
(c - 4)**2*(c - 1)/4
Let k be 2 + -6 - (-32 + -2). Suppose -2*a + 3*a - k = 0. Factor t**4 + 2*t**4 + a*t**3 - 33*t**3.
3*t**3*(t - 1)
Let z(p) be the second derivative of -p**7/14 + 3*p**6/5 - 33*p**5/20 + p**4/2 + 6*p**3 - 12*p**2 + 282*p. Factor z(t).
-3*(t - 2)**3*(t - 1)*(t + 1)
Let c(q) be the second derivative of -q**5/140 - q**4/12 + q**3/42 + q**2/2 + 14*q + 3. Factor c(r).
-(r - 1)*(r + 1)*(r + 7)/7
Let c(b) = 3*b - 39. Let h be c(13). Let m(v) be the second derivative of -2/55*v**5 + 0 + 2/33*v**4 + 4*v + 0*v**2 + 1/165*v**6 + h*v**3. Factor m(x).
2*x**2*(x - 2)**2/11
Let -575*w**3 - 91*w + 11*w + 795*w**3 + 216*w**2 + 18*w**4 - 14*w**5 = 0. What is w?
-2, 0, 2/7, 5
Factor 5/3*j**2 - 100/3*j + 95/3.
5*(j - 19)*(j - 1)/3
Suppose -5*l + 28 = 2*l. Suppose 14/3*r**3 - 2/3*r**2 + 2/3*r**5 - 8/3 + 10/3*r**l - 16/3*r = 0. What is r?
-2, -1, 1
Solve 9/2*g**3 - 21/2*g**2 + 8*g - 2 = 0 for g.
2/3, 1
Suppose 2*m + 0 = 88. Let p(w) = -24*w**4 + 4*w**3 + 20*w**2 - 22*w + 22. Let l(x) = -x**4 + x**2 - x + 1. Let o(c) = m*l(c) - 2*p(c). Solve o(r) = 0 for r.
0, 1
Let w = -7870 - -7872. Determine c, given that 1/3 + 1/6*c**4 + 3/2*c**w - 7/6*c - 5/6*c**3 = 0.
1, 2
Let j = 3/274 - -947/1096. Let 23/8*z**3 + 5/2*z**2 + 1/2*z + 0 + j*z**4 = 0. Calculate z.
-2, -1, -2/7, 0
Let w(u) = -u**3 + u + 5. Let j be w(0). Factor 2*a**5 - 16*a + 18*a**2 - 8*a**3 + j*a - 4*a**4 + a**5 + 0*a**5 + 2.
(a - 1)**3*(a + 2)*(3*a - 1)
Let i be 1175/(-940)*2*2/(-30). What is c in i*c**4 + 0*c**3 - c**2 - 4/3*c - 1/2 = 0?
-1, 3
Let q(m) = -13*m**3 + 77*m**2 - 400*m + 324. Let v(a) = -115*a**3 + 695*a**2 - 3600*a + 2915. Let h(s) = -35*q(s) + 4*v(s). Suppose h(u) = 0. Calculate u.
1, 8
Suppose 5*n + 6*g - 2*g - 140 = 0, 0 = -4*n + 4*g + 76. Let a be 5 + -3 + n/(-20). Suppose a - 3/5*b - 1/5*b**2 = 0. What is b?
-4, 1
Let q be (-17)/(-102) + 3/(-18). Let v(o) be the third derivative of -1/540*o**6 + 1/36*o**4 - 2/27*o**3 + q + 0*o + 4*o**2 + 0*o**5. Solve v(w) = 0.
-2, 1
Let j be 4 - ((-14)/(-14) - (0 + 2)). Let h(s) be the first derivative of -1/4*s**4 + 1/2*s**6 - s**2 + 4 - s**j + 5/3*s**3 + 0*s. Factor h(v).
v*(v - 1)**2*(v + 1)*(3*v - 2)
Let j be 9 + (156/54)/(6/(-9)). Let -49/3 - 1/3*p**2 - j*p = 0. What is p?
-7
Let q be -1*(5*(-273)/525 - (-4)/(-10)). Factor 0 + 1/2*h**5 + 7/2*h**q + 5/2*h**4 + 3/2*h**2 + 0*h.
h**2*(h + 1)**2*(h + 3)/2
Solve 6*h**3 - 413*h**4 + 4*h**2 - 2*h**2 + 3*h**5 - 2*h**2 + 422*h**4 = 0 for h.
-2, -1, 0
Let u be (-4 + 2/(-1))/(-2). Find n, given that -17 - 4*n**u - 32*n + 1 - 8*n**3 + 44*n**2 = 0.
-1/3, 2
Let h(i) be the third derivative of i**6/210 - i**5/210 - i**4/42 + i**3/21 + 6*i**2 - 7. Factor h(q).
2*(q - 1)*(q + 1)*(2*q - 1)/7
Suppose 5*g - 498 - 57 = -4*f, -f + 4*g + 144 = 0. Let w be 16/f*(21 - 1). Let -2/7*p**3 + 8/7 - w*p + 10/7*p**2 = 0. Calculate p.
1, 2
Factor -16/7 + 12/7*v**2 + 0*v + 4/7*v**3.
4*(v - 1)*(v + 2)**2/7
Let r(b) = 15*b**4 + 133*b**3 + 1421*b**2 + 2437*b + 1167. Let t(n) = 8*n**4 + 66*n**3 + 710*n**2 + 1218*n + 584. Let d(o) = -6*r(o) + 11*t(o). Factor d(s).
-2*(s + 1)**2*(s + 17)**2
Let o = -128 + 160. Let r be (-152)/o + 5 + (-26)/(-24). What is q in -r + 2/3*q**4 - 2*q**3 + 2*q + 2/3*q**2 = 0?
-1, 1, 2
Suppose 2*t + 17 = -47. Let k be (t/40)/((-2)/40). Factor -16 + k + 4*h**3 + 4*h**2.
4*h**2*(h + 1)
Determine r, given that -264*r + 14520 + 6/5*r**2 = 0.
110
Let j(m) = m**2 + 90*m - 55. Let q(t) = -22*t + 14. Let w(u) = -4*j(u) - 18*q(u). Factor w(x).
-4*(x - 8)*(x - 1)
Factor 65*v - 372*v**2 + 737*v**2 - 60 - 370*v**2.
-5*(v - 12)*(v - 1)
Let d(u) be the second derivative of u**5/10 + u**4 + 11*u**3/3 + 6*u**2 - 4*u + 20. Factor d(g).
2*(g + 1)*(g + 2)*(g + 3)
Suppose 11*h - 2 - 20 = 0. Let z be (-35)/(-5) - (h - 0). Solve -2/3*m**4 - 1/3*m**z + 1/3*m + 0 + 2/3*m**2 + 0*m**3 = 0 for m.
-1, 0, 1
Factor -8*x**3 - 2*x**2 + 4*x**2 - 7*x**3 + 8*x**5 + 4*x**2 - 11*x**5 + 12*x**4.
-3*x**2*(x - 2)*(x - 1)**2
Suppose -4 + 1 = n - 3*g, 3*n - g = -1. Let r be (n/(-1 + (3 - 0)))/(-2). Let -2/9*u**3 + r*u + 0 - 4/9*u**2 = 0. What is u?
-2, 0
Let d(j) = -5*j**2 - 285*j + 4. Let n be d(-57). Let -9*x**3 + 0 - 3/2*x**n - 27/2*x**2 - 6*x = 0. Calculate x.
-4, -1, 0
Suppose -49 = -7*z + 14. Solve 2 - 3*o**5 + 12*o - 279*o**4 - z*o**3 + 291*o**4 - 2 - 12*o**2 = 0 for o.
-1, 0, 1, 2
Factor 1/3*g**2 + 22/3*g + 121/3.
(g + 11)**2/3
Let m = 2431/2 - 1206. Let a be 1 - (2 - 3)/(-2). Suppose -5*c**5 - 1 - a*c**3 + 11/2*c + m*c**4 - 17/2*c**2 = 0. What is c?
-1, 2/5, 1/2, 1
Factor 0 + 1/6*c**3 + 1/3*c**2 + 0*c.
c**2*(c + 2)/6
Let q be (-2)/((-31 + -3)/17). Suppose 1/2*i - 6*i**2 + q + 9/2*i**3 = 0. What is i?
-1/3, 2/3, 1
Let s = 69 - 49. Let o be 70/25 - 16/s. What is x in 10*x**2 + 4*x + 2*x**3 - 29*x**4 + o*x + 27*x**4 = 0?
-1, 0, 3
Let d(k) be the third derivative of 0*k + 1/105*k**7 - 1/10*k**5 + 0 + 4/3*k**3 + 1/3*k**4 + 17*k**2 - 1/30*k**6. Factor d(w).
2*(w - 2)**2*(w + 1)**2
Let a = -5938 + 11879/2. Determine z, given that 0 + a*z**2 + 12*z = 0.
-8, 0
Let y(k) be the third derivative of -k**8/112 - 2*k**7/35 - k**6/10 + k**5/10 + 5*k**4/8 + k**3 - 3*k**2 + 4*k. Factor y(r).
-3*(r - 1)*(r + 1)**3*(r + 2)
Let x(f) be the first derivative of f**6/21 + 9*f**5/35 - 11*f**4/28 - 31*f**3/21 - 3*f**2/14 + 10*f/7 - 412. Find m such that x(m) = 0.
-5, -1, 1/2, 2
Let b(m) = m**3 - 8*m**2 + 15*m - 8. Let u be b(6). Factor 4*n**2 - 6*n**3 + u*n**4 - n**2 - 7*n**4.
3*n**2*(n - 1)**2
Let j(y) be the second derivative of y**5/5 + y**4/3 - 10*y**3/3 + 6*y**2 + y + 158. Factor j(v).
4*(v - 1)**2*(v + 3)
Let x(m) be the first derivative of 2*m**5/5 - 3*m**4/2 - 2*m**3/3 + 3*m**2 + 6. Factor x(u).
2*u*(u - 3)*(u - 1)*(u + 1)
Let -3 + 25*u - 17 - 266*u**2 - 90 + 267*u**2 + 28*u = 0. Calculate u.
-55, 2
Let l = 336 + -331. Let m(v) be the third derivative of -1/9*v**4 - 2/3*v**3 + 0*v - 7*v**2 + 1/45*v**l + 0. Let m(d) = 0. What is d?
-1, 3
Suppose -3*p - 3 = 18. Let l(k) = -4*k - 26. Let g be l(p). Let -3/5 - 2/5*t + 1/5*t**g = 0. Calculate t.
-1, 3
Let q(c) be the third derivative of c**5/210 - c**4/3 + 35*c**2 + c. Factor q(t).
2*t*(t - 28)/7
Let d(z) = 4*z - 4. Let c be d(1). Suppose -3 = -3*t, c*w - 3*t = 5*w - 18. Factor -2 - 48*p**w + 92*p**2 + 0 - 6 - 24*