8/7*b**2 = 0.
-6, -2, -1
Let o(v) be the third derivative of -2*v**7/105 - 3*v**6/10 - 7*v**5/5 - 19*v**4/6 - 4*v**3 - 5*v**2 + 3*v. Factor o(s).
-4*(s + 1)**3*(s + 6)
Let m(r) = r**2 + 16*r + 13. Let h be m(-15). Let n be h + (-1 + -3)*-1. Factor -2*v**n + 6*v - v**2 - 4 + 1 + 0*v**2.
-3*(v - 1)**2
Let q be -4*(-1)/((-1146)/(-579) + -2). Let h = q + 193. What is s in 2/19*s**3 + 0*s + h + 4/19*s**2 = 0?
-2, 0
Suppose 0 = -33*r + 39*r. Let y(j) be the second derivative of 1/30*j**6 - 2*j + 1/20*j**5 - 1/12*j**4 + 0*j**2 + 0*j**3 + r - 1/42*j**7. Solve y(b) = 0.
-1, 0, 1
Suppose -8 = -4*j - g - 1, -4*g - 29 = -3*j. Suppose -3*z + 9 = y, 2*y = -j*z - 2*y + 9. Let 2*u**z - 2*u**4 + 3*u**4 - 3*u**4 = 0. What is u?
0, 1
Let p(j) = j**2 + j - 6. Let x(z) = z**2 - 14*z - 3. Let k be x(14). Let i be p(k). Factor 4/3*r**2 + 0 + i*r + 4/3*r**3.
4*r**2*(r + 1)/3
Let x(g) be the second derivative of g**5/5 + 2*g**4 - 32*g**3/3 - 2*g + 55. Factor x(c).
4*c*(c - 2)*(c + 8)
Let x(h) be the second derivative of -1/3*h**4 + 5*h + 0 + 0*h**3 + 0*h**2. Factor x(p).
-4*p**2
Let h be 7 - 3780/532 - 136/(-570). Determine r, given that -2/15*r**4 + 2/5*r**3 - 2/5*r**2 + 0 + h*r = 0.
0, 1
Suppose 2*r = 4*f - 6 - 2, -3*r - 4 = -2*f. Suppose -f*i + 4 = -4*h - h, 3*i - 5*h - 6 = 0. Factor q**5 + q**2 - q + 2*q**4 - 3*q**i + 0*q.
q*(q - 1)*(q + 1)**3
Suppose -2*o - v + 9 = 0, -2*v + 6*v - 16 = 2*o. Let i be o/(-14)*(-24)/3. Factor -6/7*r**2 + 0*r + i + 2/7*r**3.
2*(r - 2)**2*(r + 1)/7
Suppose -4*q - 5 = 3. Let j = q - -4. Factor 8*a**j + 0*a**2 - 4*a + 7*a**2 - 21*a**2 - 2*a**3.
-2*a*(a + 1)*(a + 2)
Suppose -m = -4*m + 11*m. Suppose 0 + 0*g - 2/5*g**4 + 2/5*g**3 + m*g**2 = 0. Calculate g.
0, 1
Let a be (-108)/12 - 1133/(-99). Find u, given that 8/9*u**4 + 8/9 - a*u**3 + 32/9*u - 2/3*u**2 = 0.
-1, -1/4, 2
Let q be ((-4)/10 + (-4)/(-10))/2. Factor -4*b**2 + q + 3*b + 0 - 19*b.
-4*b*(b + 4)
Let v(i) be the second derivative of -i**4/54 - 10*i**3/27 + 8*i**2/3 - 75*i - 2. Solve v(x) = 0.
-12, 2
Let p = -44753/20 - -8953/4. Factor -1/5*b**2 + 2/5*b + p.
-(b - 3)*(b + 1)/5
Factor -1/5*z**2 - 8/5 + 6/5*z.
-(z - 4)*(z - 2)/5
Let j(u) be the third derivative of -u**6/24 + u**5/3 - 25*u**4/24 + 5*u**3/3 - 254*u**2. Factor j(c).
-5*(c - 2)*(c - 1)**2
Let w(o) = 152*o**5 - 314*o**4 + 236*o**3 - 60*o**2 + 6*o. Let u(c) = -51*c**5 + 105*c**4 - 78*c**3 + 20*c**2 - 2*c. Let z(r) = -20*u(r) - 6*w(r). Factor z(x).
4*x*(x - 1)*(3*x - 1)**3
Suppose -2*w = 3*t - 19, 0*t - 5*w = 4*t - 30. Suppose 21*z**4 - 6*z**2 + 3*z**t - 21*z**4 - 9*z**3 = 0. What is z?
-1, 0, 2
Let r(t) be the third derivative of -t**8/112 - t**7/14 - t**6/5 - t**5/5 + 276*t**2. Find b such that r(b) = 0.
-2, -1, 0
Let s be (-1 - -11) + 36/(-9). Suppose -s*g = -8*g. Let -1/2*k**2 + g + k = 0. Calculate k.
0, 2
Let i(o) = -2*o**5 - o**4 - 2*o**3 + 3*o**2 - 3. Let w(z) = z**5 + 2*z**4 + 3*z**3 - 2*z**2 + 2. Let f(s) = -2*i(s) - 3*w(s). Solve f(k) = 0 for k.
-1, 0, 5
Let p(y) be the second derivative of -y**5/10 + y**4 - 11*y**3/3 + 6*y**2 - 53*y + 1. What is j in p(j) = 0?
1, 2, 3
Let g(r) be the second derivative of -r**6/30 + r**5/3 - 2*r**4/3 + 5*r**2 + 9*r. Let z(s) be the first derivative of g(s). Factor z(q).
-4*q*(q - 4)*(q - 1)
Let r(w) be the second derivative of 17*w**5/40 - 5*w**4/8 - w**3/6 - 2*w + 86. Factor r(b).
b*(b - 1)*(17*b + 2)/2
Factor 2/5*k**3 + 136/5*k + 128/5 + 8*k**2.
2*(k + 2)**2*(k + 16)/5
Suppose 3*a = -15, 0 = 3*h + h - 3*a - 31. Let f(m) = m**3 + 24*m**2 + 7. Let s be f(-24). Factor -s*g + 10*g + 13*g - 16 - h*g**2.
-4*(g - 2)**2
Let k = -181 + 181. Let v(f) be the third derivative of 1/420*f**7 + 0 + 0*f**3 - 1/120*f**5 + 0*f**6 + k*f + 4*f**2 + 0*f**4. Factor v(c).
c**2*(c - 1)*(c + 1)/2
Let l be (-3 - 0/7) + 8. Let c(x) be the third derivative of 0*x - 1/24*x**4 + 6*x**2 - 1/12*x**3 + 0 - 1/120*x**l. Factor c(o).
-(o + 1)**2/2
Let t be (-3)/(-2 + (-3)/(-4)) - (-56)/70. Factor 12/5*v + t + 2/5*v**2.
2*(v + 2)*(v + 4)/5
Let o = 22 - 15. Suppose -4*d - 9 = -o*d. Solve h**3 + 2 - 2*h**2 + 7*h - 6*h - 2*h**d = 0 for h.
-2, -1, 1
Let i = -1574 + 1577. Find p such that 3/2*p**2 + i + 9/2*p = 0.
-2, -1
Let l be 4/((-4)/(-3)) - 13. Let v be (-40)/(-100) - 16/l. What is o in -2/5*o**3 - 2/5*o**v + 0 + 0*o = 0?
-1, 0
Let h(m) = -56*m + 14. Let b be h(-5). Determine g, given that -149*g**2 - g**5 + b*g**2 + 3*g**3 - 144*g**2 - 2*g - g**4 = 0.
-2, -1, 0, 1
Suppose -33/5*x**2 - 3/5*x**3 - 72/5*x + 108/5 = 0. Calculate x.
-6, 1
Let a(d) be the third derivative of -32/57*d**3 + 0 + 8/285*d**5 - 2/1995*d**7 - 13*d**2 + 0*d - 1/3192*d**8 + 2/285*d**6 - 4/57*d**4. Factor a(w).
-2*(w - 2)**2*(w + 2)**3/19
Suppose -2*h = 2, -7 = 2*n - 9*h + 4*h. Let m be (-40)/30*9/n. Factor 2/9*z**m - 2/9*z + 0.
2*z*(z - 1)/9
Let a(i) be the first derivative of 2*i**4 - 34*i**3 - 69*i**2 - 28*i - 107. Find s such that a(s) = 0.
-1, -1/4, 14
Factor 27*j + 81 - 27/4*j**2 - 3*j**3 - 1/4*j**4.
-(j - 3)*(j + 3)*(j + 6)**2/4
Let o(i) be the first derivative of -i**5/110 - 2*i**4/33 - 5*i**3/33 - 2*i**2/11 + 40*i + 33. Let u(f) be the first derivative of o(f). Factor u(r).
-2*(r + 1)**2*(r + 2)/11
Let 5/3*k**2 - 20 + 55/3*k = 0. What is k?
-12, 1
Let i(s) be the first derivative of s**3 - 174*s**2 + 10092*s - 106. Factor i(f).
3*(f - 58)**2
Let y(h) = 55*h**2 - 80*h + 35. Let g(d) = d**4 - 28*d**2 + 40*d - 17. Let f(b) = 5*g(b) + 2*y(b). Factor f(c).
5*(c - 1)**3*(c + 3)
Let w(f) be the first derivative of -f**6/45 + 16*f**5/75 - f**4/6 - 20*f**3/9 - 60. What is j in w(j) = 0?
-2, 0, 5
Let n = -1092 - -229321/210. Let s(c) be the third derivative of 1/60*c**5 + 0 - 3*c**2 + 0*c**6 + 0*c**3 - 1/48*c**4 - n*c**7 + 0*c + 1/672*c**8. Factor s(w).
w*(w - 1)**3*(w + 1)/2
Let c be (-78)/1326 + 22/85. Factor -2/5*j**3 + c - 1/5*j**2 + 2/5*j.
-(j - 1)*(j + 1)*(2*j + 1)/5
Let z(n) be the first derivative of n**4/8 + n**3/6 - 3*n**2 - 14. Find v, given that z(v) = 0.
-4, 0, 3
Suppose -15*b = 6*b. Let v(r) be the third derivative of 1/12*r**4 + 1/90*r**5 + 2/9*r**3 + 0 - 3*r**2 + b*r. Factor v(s).
2*(s + 1)*(s + 2)/3
Let j(g) be the first derivative of -g**5/30 - 17*g**4/24 - 7*g**3/3 + 51. Factor j(s).
-s**2*(s + 3)*(s + 14)/6
Let f = 12 + -9. Suppose 0*u = f*y - u - 16, 5*y - 30 = 5*u. Find z, given that -2*z**2 - 5*z + y - 10 + 3 = 0.
-2, -1/2
Let x(g) be the first derivative of 2*g**2 - 2 + 3*g + 1/6*g**4 - g**3. Let b(r) be the first derivative of x(r). What is y in b(y) = 0?
1, 2
Let l(y) be the third derivative of 1/525*y**7 + 1/150*y**5 + 0*y + 0*y**3 - y**2 - 1/150*y**6 + 0*y**4 - 8. Factor l(t).
2*t**2*(t - 1)**2/5
Let x(c) = -8*c**2 + 2. Let g be x(1). Let m be 2/7 + g/(-21). Factor 2/7*b**2 - m + 2/7*b.
2*(b - 1)*(b + 2)/7
Factor 0*n**2 - 3*n**2 + 42*n + 84 - 39.
-3*(n - 15)*(n + 1)
Let t(c) = -c**2 - 4*c + 1. Suppose 3*a = -5*m - 1 + 17, 0 = 5*a + 2*m + 5. Let l be t(a). Find q such that 0*q**2 - l*q - q**2 + 4*q = 0.
0
Let -2*p**2 + p**4 - 2*p**2 - 2699*p**3 + 9*p**4 - 8*p**5 + 2713*p**3 = 0. What is p?
-1, 0, 1/4, 2
Let i be (52/(-14) - -1) + (41 - 38). Suppose -i*h**2 + 4/7 - 2/7*h = 0. What is h?
-2, 1
Let u(l) = 2*l + 31. Let i be u(-15). Let f be 12 + -9 + 0/(i + 2). Factor -t**3 + 1/2*t**2 + f*t - 1/4*t**4 - 9/4.
-(t - 1)**2*(t + 3)**2/4
Let h(i) be the first derivative of 5*i**4/4 + 5*i**3/3 - 5*i**2 + 13. Solve h(z) = 0.
-2, 0, 1
Suppose -5*a + 5*y - 55 = 0, -4*y = 4*a - 0*y + 60. Let b = 16 + a. Solve -2 + 5 - 3 - b*m**2 + 3*m = 0 for m.
0, 1
Factor -244*a**2 - 1494*a**2 - 507*a**2 - 118*a**2 + 8 - 5831*a**3 - 420*a - 871*a**2.
-(7*a + 2)**2*(119*a - 2)
Let g(k) be the second derivative of k**7/147 + 26*k**6/105 + 191*k**5/70 + 131*k**4/21 - 64*k**3/7 - 288*k**2/7 - 37*k - 2. Determine l so that g(l) = 0.
-12, -2, -1, 1
Suppose 340 = -a - 7*a + 356. Factor 6*f**a + 0 + 2/5*f**4 + 18/5*f**3 - 10*f.
2*f*(f - 1)*(f + 5)**2/5
Let b(x) = 2*x**2 + 33*x + 18. Let l = -94 - -78. Let c be b(l). Determine g, given that 0 + 0*g + 3*g**3 - 7/3*g**4 - 2/3*g**c = 0.
0, 2/7, 1
Find u, given that -30/7*u + 0 - 2/7*u**2 = 0.
-15, 0
Let v(h) be the third derivative of h**6/180 + 2*h**5/15 + 41*h**4/36 + 10*h**3/3 + 3*h**2 - 1. Solve v(t) = 0.
-6, -5, -1
Let v(h) = h**3 - 3*h**2 - 8*h - 4. Let x be v(5). Let u be (396/10)/x + -3. Suppose