3/7*q**4 + 102/7*q - 57/7*q**2 - 48/7*q**3 = 0.
-2, 0, 1, 17
Let o = 185 + -183. Let v(z) be the third derivative of 1/60*z**5 + 0*z**3 + 1/60*z**6 + 0*z - o*z**2 + 1/210*z**7 + 0 + 0*z**4. Factor v(b).
b**2*(b + 1)**2
Let q(s) be the third derivative of -9*s**2 + 1/120*s**4 + 1/600*s**5 + 0*s + 0*s**3 - 1/1200*s**6 + 0. Factor q(l).
-l*(l - 2)*(l + 1)/10
Let j(l) = l**2 - 19*l + 1. Let t be j(20). Let c be ((-2)/t + 0)/((-354)/826). Suppose -c - 4/9*a**2 - 5/9*a - 1/9*a**3 = 0. Calculate a.
-2, -1
Suppose -25 = -5*n, -5*n = 3*i - 5*i - 17. Let c(g) be the second derivative of 2/5*g**2 + 1/10*g**i + 0 + 2*g + 1/3*g**3. Factor c(d).
2*(d + 1)*(3*d + 2)/5
Factor -3/2*l + 5/4*l**2 - 1/4*l**3 + 0.
-l*(l - 3)*(l - 2)/4
Suppose 350 = 4*s - 422. Solve 3*a**3 - 9*a**2 - s + 193 = 0.
0, 3
Suppose 18*o - 160 = 13*o. Suppose -7*p = 11 - o. Suppose -3*y**2 + 3/2 + 27/2*y**4 - 18*y**p + 6*y = 0. Calculate y.
-1/3, 1
Let i = -9 - -9. Suppose 10 = 5*j - i*j. Solve -18*n**3 + 15*n**4 + 7 - 7 + 3*n**j = 0.
0, 1/5, 1
Let q(g) = 8*g + 2. Let m be q(-1). Let j be (-3 - (-28)/16)*m/15. Factor j*t**4 - t**3 + 4*t - 2 - 3/2*t**2.
(t - 2)*(t - 1)**2*(t + 2)/2
Let h(d) = -2 - 8*d + 3 + 7*d + 2*d. Let p be h(1). Factor -1 + 1/2*w + 1/2*w**p.
(w - 1)*(w + 2)/2
Let o(h) be the first derivative of -h**5/40 + h**4/12 + 5*h**3/12 - 3*h**2/2 - 45*h + 2. Let x(u) be the first derivative of o(u). Factor x(c).
-(c - 3)*(c - 1)*(c + 2)/2
Let q be (474/540)/((-6)/(-15)) - 21/12. Suppose -2/3*p**2 + q - 2/9*p = 0. Calculate p.
-1, 2/3
Let z(x) = 8*x**2 - 816*x - 20. Let w(j) = -3*j**2 + 273*j + 7. Let u(m) = -20*w(m) - 7*z(m). Factor u(o).
4*o*(o + 63)
Determine d so that 4*d**5 - 369*d**4 + 12*d**3 - 372*d**4 + 757*d**4 = 0.
-3, -1, 0
Suppose 5*q + 20 = 0, -1 = -5*t + 2*t - 2*q. Factor -10/9*x**t + 1/9*x**4 + 4 - 20/3*x + 37/9*x**2.
(x - 3)**2*(x - 2)**2/9
Let s(y) = y**2 - 35*y + 28. Let f(i) = -i**2 + 17*i - 13. Let u(k) = -5*f(k) - 3*s(k). Let t be u(-11). Factor 2*a - 4/7 + 6/7*a**t - 16/7*a**2.
2*(a - 1)**2*(3*a - 2)/7
Let o(w) be the third derivative of 1/80*w**6 + 0*w + 1/420*w**7 - 1/40*w**5 + 0 - 1/2*w**3 - 9*w**2 - 11/48*w**4. Determine v so that o(v) = 0.
-3, -1, 2
Let s(a) = -6*a + 6 + 9 + 6*a + 3*a. Let l be s(-10). Let u(v) = v**2 - v - 1. Let g(p) = -18*p**2 + 21*p + 15. Let x(y) = l*u(y) - g(y). Factor x(j).
3*j*(j - 2)
Let u(r) be the second derivative of -r**7/3360 + r**6/2880 + 11*r**4/6 + 6*r. Let l(w) be the third derivative of u(w). Factor l(d).
-d*(3*d - 1)/4
Let s(j) be the third derivative of 55*j**8/672 + 19*j**7/105 + 23*j**6/240 + j**5/60 - 205*j**2. What is y in s(y) = 0?
-1, -1/5, -2/11, 0
Let u(t) be the third derivative of -t**6/40 - t**5/4 - 159*t**2. Factor u(k).
-3*k**2*(k + 5)
Let h(g) be the first derivative of -g**4/2 - 22*g**3/3 - 26*g**2 - 32*g + 58. Factor h(p).
-2*(p + 1)*(p + 2)*(p + 8)
Suppose 3*x - 2*n - 97 = 0, 0 = 4*x + 3*n - 5*n - 128. Suppose -2*l = -x - 75. Factor -3*r**4 - 15*r**2 + r - 7*r + 41*r**3 - l*r**3.
-3*r*(r + 1)**2*(r + 2)
Factor -3*s**2 + 2116 + 6*s - 2116.
-3*s*(s - 2)
Let k(y) be the first derivative of y**3 + 171*y**2/2 - 174*y + 107. Solve k(i) = 0 for i.
-58, 1
Let a = 14 - 11. Find r such that -a*r**3 - 8*r**2 - 4*r - 5*r**2 + 3*r**2 + 2*r**2 = 0.
-2, -2/3, 0
Let h(w) be the second derivative of 3*w**5/20 + 54*w**4 + 7776*w**3 + 559872*w**2 + 8*w - 19. Find y such that h(y) = 0.
-72
Let j(n) = -n**2 - 8*n + 7. Let t be j(-6). Factor t*x**3 + 48*x**2 - 5*x**3 + 7*x + x - 16*x**2.
2*x*(x + 2)*(7*x + 2)
Determine h so that 55*h - 2*h**2 + 38*h - 121*h + 30 = 0.
-15, 1
Let n be (5/(-150))/(3/(-2)) - (-44)/220. Factor -128/9 + 32/3*b + n*b**3 - 8/3*b**2.
2*(b - 4)**3/9
Suppose -5*x + 6 + 24 = 5*l, -5*l = -15. Suppose 0*u - x = -u. Solve 64 - 2*o**2 + o**2 + u*o**2 - 32*o + 2*o**2 = 0 for o.
4
Let m(o) be the third derivative of -o**5/120 - 3*o**4 - 432*o**3 - 156*o**2. Factor m(n).
-(n + 72)**2/2
Let m(u) be the third derivative of -u**8/1008 + u**7/105 - 7*u**6/180 + 4*u**5/45 - u**4/8 + u**3/9 - 24*u**2. Find w, given that m(w) = 0.
1, 2
Let m(k) be the first derivative of -k**5/25 + 4*k**4/15 - 2*k**3/3 + 4*k**2/5 - 16*k + 59. Let w(o) be the first derivative of m(o). Let w(p) = 0. What is p?
1, 2
Let j be -3*(-4)/(-60) - 14/(-70). Let b(g) be the third derivative of j*g + 3*g**2 - 1/60*g**5 - 2/3*g**3 + 1/6*g**4 + 0. Factor b(l).
-(l - 2)**2
Suppose 2 = 4*r - 18. Suppose -5*a = -r - 5. Factor -3 - 1/3*h**a + 2*h.
-(h - 3)**2/3
Factor -36/7 - 9/7*v**2 - 60/7*v.
-3*(v + 6)*(3*v + 2)/7
Factor 10/3*s**2 + 4/3 + 22/3*s.
2*(s + 2)*(5*s + 1)/3
Suppose -5*h + 21 = -2*r - 0*r, r - 12 = -5*h. Suppose 5*j = h*t + 25, 0 = 2*t + 2*j - 11 + 1. Factor t - 2*b**2 - 1/2*b**4 + 0*b - 2*b**3.
-b**2*(b + 2)**2/2
Suppose 3*p = -9*p + 12. Let b be 11/77 + 1/p. Factor b + 8/7*q + 2/7*q**2.
2*(q + 2)**2/7
Let u(v) = 17*v - 455. Let w be u(27). Let z(n) be the second derivative of -9*n - 2/21*n**w + 2/7*n**3 - 2/7*n**2 + 0. Factor z(s).
-4*(s - 1)*(2*s - 1)/7
Find m such that -1/7*m**4 + 17/7*m - 12/7 - 5/7*m**3 + 1/7*m**2 = 0.
-4, -3, 1
Let b be ((-7)/14 - 1)/(-3). Let y(s) be the first derivative of -b*s + 5 + 1/8*s**4 - 1/2*s**3 + 3/4*s**2. Factor y(d).
(d - 1)**3/2
Let a(q) be the third derivative of q**5/450 - q**4/90 + q**3/45 + 3*q**2 + 1. Factor a(m).
2*(m - 1)**2/15
Suppose 3/7*c**4 + 0 - 54/7*c**3 - 3/7*c**2 + 54/7*c = 0. Calculate c.
-1, 0, 1, 18
Let d = -19 - -31. Let a = d + -7. Let -2*g**2 + 6*g + 3*g**3 - a*g - 2*g**3 = 0. What is g?
0, 1
Factor 0 + 2/11*u**4 - 2/11*u**5 + 0*u - 2/11*u**2 + 2/11*u**3.
-2*u**2*(u - 1)**2*(u + 1)/11
Let q be 3/((-2)/5*8/(-16)). Solve 9*g + 28*g + 1 - 25 + q*g - 20*g**2 = 0 for g.
3/5, 2
Let c(f) be the second derivative of -27/4*f**2 - 15/4*f**3 + 30*f + 0 - 3/16*f**5 - 37/32*f**4 - 1/80*f**6. Factor c(x).
-3*(x + 2)**2*(x + 3)**2/8
Let l(r) be the second derivative of -5*r**4/12 - 155*r**3 - 43245*r**2/2 - 3*r - 25. Factor l(z).
-5*(z + 93)**2
Let y(l) be the first derivative of -l**4/6 + 56*l**3/9 - 77*l**2/3 + 100*l/3 - 116. Factor y(x).
-2*(x - 25)*(x - 2)*(x - 1)/3
Let y(q) be the second derivative of q**7/42 + q**6/12 - q**5/4 - 5*q**4/6 + 10*q**3/3 + 2*q**2 + 12*q. Let h(o) be the first derivative of y(o). Factor h(r).
5*(r - 1)**2*(r + 2)**2
Let i(w) = -29*w**4 + 37*w**3 - 20*w**2 + 12*w + 4. Let y(f) = -59*f**4 + 72*f**3 - 39*f**2 + 26*f + 9. Let q(x) = 9*i(x) - 4*y(x). Factor q(h).
-h*(h - 1)*(5*h - 2)**2
Let b = -24331/4 + 6083. Factor 4 + 2*d + b*d**2.
(d + 4)**2/4
Let g(z) = z + 1. Let c(p) = -9*p - 37. Let i be c(-4). Let t be g(i). Factor -1/5*q**3 + t*q + 0 - 2/5*q**2.
-q**2*(q + 2)/5
Suppose -54 + 2*d**2 - 322*d + 129*d + 141*d = 0. Calculate d.
-1, 27
Solve -10296*y**2 - 676 - 10290*y**2 + 20582*y**2 - 104*y = 0 for y.
-13
Let x(n) be the first derivative of n**7/105 - n**6/40 - n**5/20 + n**4/12 - 3*n**2 + 21. Let p(i) be the second derivative of x(i). Solve p(m) = 0.
-1, 0, 1/2, 2
Let i(l) be the third derivative of -l**5/450 + 47*l**4/180 - 2*l**3 - 133*l**2. Factor i(x).
-2*(x - 45)*(x - 2)/15
Let i(d) = d. Let g be i(-4). Let x be 300/135 - g/(-18). What is o in -68*o + 8 + 36*o**2 - 64*o**3 + 83*o**2 - 53*o**x + 94*o**2 = 0?
1/4, 2
Let y(k) be the second derivative of k**7/840 - k**6/120 - 13*k**4/12 - 9*k. Let q(n) be the third derivative of y(n). Factor q(x).
3*x*(x - 2)
Let a(p) be the first derivative of p**4 - 24*p**3 + 192*p**2 - 512*p - 93. Determine o, given that a(o) = 0.
2, 8
Let s(l) = l**3 - l**2 - l + 1. Suppose -x - 6 = -4*i, 3*i = -x + 3*x + 2. Let c(v) = 6*v**3 + 26*v**2 + 42*v + 22. Let d(q) = i*s(q) - c(q). Factor d(z).
-4*(z + 1)**2*(z + 5)
Let p(d) be the third derivative of -d**8/168 + 2*d**7/35 - 2*d**6/15 - d**5/15 + 3*d**4/4 - 4*d**3/3 - 10*d**2 + 12*d. Factor p(i).
-2*(i - 4)*(i - 1)**3*(i + 1)
Let m = 65/2 + -32. Let i = 37/22 - 13/11. Factor i*x - m*x**3 - x**2 + 1.
-(x - 1)*(x + 1)*(x + 2)/2
Suppose -76*h + 80*h = d + 18, 0 = 4*h + 5*d - 6. Solve -3/4*o**h + 1/2*o**3 + 1/4*o**5 + 1/2*o**2 + 1/4 - 3/4*o = 0 for o.
-1, 1
Let j be ((-2)/72*-8)/((-3)/(-27)). Let l(y) be the first derivative of 2 + 0*y - 2/9*y**j - 2/27*y**3 + 1/18*y**4. Factor l(p).
2*p*(p - 2)*(p + 1)/9
Suppose 5*z - 3*z - 2*g = 0, 0 = 29*z - 24*z - 2*g. Solve -1/7*l**3 +