 0*i + 6/13*i**3 = 0.
-2, -1, 0
Let n(x) be the third derivative of -x**8/672 - x**7/420 + x**6/120 + x**5/60 - x**4/48 - x**3/12 - 2*x**2. Determine g so that n(g) = 0.
-1, 1
Let a(q) be the third derivative of q**6/40 + q**5/10 + 5*q**4/32 + q**3/8 + 10*q**2. Factor a(g).
3*(g + 1)*(2*g + 1)**2/4
Let o(x) be the third derivative of x**6/600 - x**5/100 + x**4/40 - x**3/30 - 5*x**2. Factor o(n).
(n - 1)**3/5
Let t(n) be the first derivative of n**6/300 + n**5/50 + n**4/30 - 3*n**2 + 3. Let a(w) be the second derivative of t(w). Factor a(x).
2*x*(x + 1)*(x + 2)/5
Suppose 2*v = 3*v - 1. Determine d, given that v - 15*d**2 + 5 + 7*d**2 + 11*d**2 - 9*d = 0.
1, 2
Let h be (-75)/(-3)*(-4)/(-10). Let d = h + -8. Let 0 - 2/5*i**d + 2/5*i = 0. What is i?
0, 1
Let o be (-8*5/50)/(4/(-10)). Factor -6/7*h**o + 2/7*h**4 + 0 + 0*h**3 - 4/7*h.
2*h*(h - 2)*(h + 1)**2/7
Let a be (12/15)/((-2)/(-5)). Let r be ((-12)/(-9))/((-6)/(-9)). Factor h + 0*h**a + 1 - h**r + 1.
-(h - 2)*(h + 1)
Let t(d) = 1. Let r(v) = -v**3 + 3*v**2 - 3*v + 3. Let s(h) = -2*r(h) + 4*t(h). Factor s(p).
2*(p - 1)**3
Let t = 23/44 + -3/11. Let p be 5/(-2)*12/(-15). Factor 1/4*k**3 - 1/4*k - t*k**p + 1/4.
(k - 1)**2*(k + 1)/4
Let f(o) be the second derivative of 7*o**7/2 - 21*o**6/10 - 18*o**5/5 - o**4 - 5*o. Factor f(d).
3*d**2*(d - 1)*(7*d + 2)**2
Suppose -4*n + 6 = -2*o - 0, -13 = -2*n - o. Let t**2 + 6*t + n - 4*t**2 - 4*t + t**2 = 0. What is t?
-1, 2
Let b(q) = -q + 3. Let m(i) = -1. Let p(z) = -b(z) + 4*m(z). Let u be p(10). Suppose 6/7*g + 2/7 + 2/7*g**u + 6/7*g**2 = 0. What is g?
-1
Let t = -254/5 + 258/5. Find d, given that 12/5*d**4 + t*d**3 + 0 + 0*d - 8/5*d**2 = 0.
-1, 0, 2/3
Let c(b) be the third derivative of b**8/2520 - b**7/630 + b**6/540 + b**3/3 + 2*b**2. Let n(v) be the first derivative of c(v). Factor n(x).
2*x**2*(x - 1)**2/3
Let n(v) be the third derivative of -6*v**2 + 0 + 3/20*v**5 + 0*v + 1/4*v**4 + 0*v**3 + 1/40*v**6. Factor n(t).
3*t*(t + 1)*(t + 2)
Solve 2*d**2 + 2*d**2 + 0*d**2 - 2*d**3 = 0.
0, 2
Let d(r) be the third derivative of r**8/20160 + r**7/2520 - r**5/30 + 3*r**2. Let j(t) be the third derivative of d(t). Find o, given that j(o) = 0.
-2, 0
Let l(j) be the second derivative of j**7/7 - 11*j**6/15 + 3*j**5/2 - 3*j**4/2 + 2*j**3/3 + 9*j. Find m, given that l(m) = 0.
0, 2/3, 1
Suppose 0 = 15*t - 10 + 10. Factor 0 - 1/3*r**3 + t*r + 1/3*r**2.
-r**2*(r - 1)/3
Factor -4/5*w**3 + 2/5*w**5 + 0*w**2 + 0*w**4 + 2/5*w + 0.
2*w*(w - 1)**2*(w + 1)**2/5
Factor 1/7*x**2 + 1/7*x**4 - 3/7*x**3 + 3/7*x - 2/7.
(x - 2)*(x - 1)**2*(x + 1)/7
Let k(b) = b**3 + 5*b**2 + 2. Let f be k(-5). Let y(s) be the second derivative of 7/12*s**4 + f*s + 0 + s**2 + 3/2*s**3. What is l in y(l) = 0?
-1, -2/7
Let g(s) be the third derivative of 0*s + 0*s**4 + 0*s**5 + 2/3*s**3 + 0 + 1/1080*s**6 - 3*s**2. Let n(b) be the first derivative of g(b). Factor n(f).
f**2/3
Suppose -o + 12 = -2*v, o + v = 4*o - 21. Let w = o - 4. Factor -7*k**4 + 2*k**4 - 2*k**5 + k**4 + 4*k**w + 2*k.
-2*k*(k - 1)*(k + 1)**3
Suppose -4*p - 16 = -t, 5*t = 3*t + p + 11. Determine w so that 2/3*w + 1/3*w**t + 0*w**2 - 2/3*w**3 - 1/3 = 0.
-1, 1
Determine f so that 1/4*f - 1/2*f**2 + 1/4*f**4 + 1/4 + 1/4*f**5 - 1/2*f**3 = 0.
-1, 1
Let f(z) = 10*z**2 - 14*z + 25. Let h(o) = 3*o**2 - 5*o + 8. Let r(l) = -6*f(l) + 21*h(l). Factor r(j).
3*(j - 6)*(j - 1)
Let b(v) be the second derivative of -2*v + 1/3*v**2 + 0 - 1/3*v**3 + 1/6*v**4 - 1/30*v**5. Let b(j) = 0. What is j?
1
Suppose 0 = -6*h + 431 + 253. Let n be h/84 + 2/(-4). Find u such that -4/7*u**4 - 1/7*u - 9/7*u**3 - n*u**2 + 0 = 0.
-1, -1/4, 0
Let y(c) be the first derivative of 14*c**3/33 + 4*c**2 + 24*c/11 + 22. Factor y(h).
2*(h + 6)*(7*h + 2)/11
Suppose -3*q = -0*q. Let y(v) = 2*v - 9. Let g be y(6). Factor 1/2*u**4 + 1/2*u**2 + q*u - u**g + 0.
u**2*(u - 1)**2/2
Let 2/3*b**3 + 2/3*b**2 + 0*b + 0 = 0. Calculate b.
-1, 0
Factor -15/7*f**3 + 2/7*f + 19/7*f**4 - f**5 + 0 + 1/7*f**2.
-f*(f - 1)**3*(7*f + 2)/7
Let h(i) be the third derivative of 0*i + 0*i**4 - 3*i**2 + 0*i**3 + 1/120*i**5 + 1/160*i**6 + 1/840*i**7 + 0. Factor h(b).
b**2*(b + 1)*(b + 2)/4
Suppose -z + 6 = -4*z. Let j be z/(-6)*(9 - 8). Factor -2/3*u**2 - 1/3*u - j*u**3 + 0.
-u*(u + 1)**2/3
Let p(n) be the second derivative of n**7/336 + n**6/120 - n**5/160 - n**4/48 - 6*n. Find o such that p(o) = 0.
-2, -1, 0, 1
Let r(p) be the second derivative of -p**7/6300 + p**6/450 - p**5/75 - p**4/12 + p. Let s(w) be the third derivative of r(w). Factor s(q).
-2*(q - 2)**2/5
Let a(o) be the third derivative of -o**8/60480 - o**7/5040 - o**6/1080 + o**5/20 + 3*o**2. Let u(z) be the third derivative of a(z). Solve u(s) = 0.
-2, -1
Let m = 22 - 22. Factor 1/4*b**3 - 1/4*b + m*b**2 + 0.
b*(b - 1)*(b + 1)/4
Let i(b) be the second derivative of b**7/84 + b**6/12 + 7*b**5/40 - b**4/24 - 2*b**3/3 - b**2 - 18*b. Find n, given that i(n) = 0.
-2, -1, 1
Suppose 0 = 4*l - 14 + 6. Let r be 3 + (-2)/4*l. Determine n so that n - 3*n - 2 + 0*n**3 + 2*n**r + 2*n**3 = 0.
-1, 1
Let o = 2/3 - -1/12. Let r(k) be the first derivative of 3/2*k**2 - o*k**4 + 2 + k**3 - 3*k. Factor r(p).
-3*(p - 1)**2*(p + 1)
Let c(f) be the first derivative of 10/33*f**3 - 2/11*f**5 + 0*f - 4/33*f**6 + 3/22*f**4 + 1/11*f**2 + 5. Determine m so that c(m) = 0.
-1, -1/4, 0, 1
Let o be 1 + -2*(-3)/6. Suppose -o*s = s - 9. Factor -3*q**2 + 0*q**2 + q**2 + s*q**2.
q**2
Let i(d) = -5*d - 68. Let s be i(-14). Suppose 49/5*g**s - 28/5*g + 4/5 = 0. What is g?
2/7
Let f(w) be the first derivative of -w**3/4 - 3*w**2/16 - 8. Solve f(c) = 0 for c.
-1/2, 0
Suppose -5*u + u + 24 = 0. Determine a, given that -2*a**2 + 2*a + u*a**3 + 3*a**2 - a**2 - 6*a**2 - 2*a**4 = 0.
0, 1
Suppose -74 = 4*y - 2*a, y + 13 = 5*a - 19. Let q = -17 - y. Find g, given that 0*g + q - 2/3*g**2 = 0.
0
Let -3/5*d**2 - 3/5*d + 3/5*d**3 + 3/5 = 0. What is d?
-1, 1
Factor -2 + 3/2*t - 1/4*t**2.
-(t - 4)*(t - 2)/4
Suppose -2*r - 28 = -5*a, a + 0*r = 2*r + 12. Factor -5/2*u**3 + 2*u - 3*u**2 + 4 - 1/2*u**a.
-(u - 1)*(u + 2)**3/2
Let w(j) be the first derivative of j**4/13 - 2*j**3/39 - j**2/13 - 8. Factor w(y).
2*y*(y - 1)*(2*y + 1)/13
Let n be 10/(-15)*6 - (-3 - 1). Let g(r) be the third derivative of -9/2*r**3 + n*r - 1/20*r**5 - r**2 - 3/4*r**4 + 0. Find i, given that g(i) = 0.
-3
Let v = 16 + -6. Let l = -7 + v. Let -2*b**2 - 3*b**2 + 5*b**2 - l*b + 3*b**3 = 0. Calculate b.
-1, 0, 1
Let v(g) be the third derivative of 0*g - 1/180*g**5 + 1/630*g**7 + 2*g**2 - 1/72*g**4 + 0*g**3 + 0 + 1/360*g**6. Factor v(t).
t*(t - 1)*(t + 1)**2/3
Let b = -292 - -292. Suppose -2/9*w**4 + 2/9*w**3 + 2/9*w**2 - 2/9*w**5 + b*w + 0 = 0. Calculate w.
-1, 0, 1
Factor -4/7*r**2 + 16/7*r - 12/7.
-4*(r - 3)*(r - 1)/7
Let i be 0*(2/(-4))/(-1). Factor f**4 + f**4 + i*f**5 - f**5 + f**3 + 2*f**5.
f**3*(f + 1)**2
Let v(r) = -4*r**5 + 18*r**4 - 14*r**3 + 4*r**2 - 2. Let f(n) = n**5 + n**4 - 1. Let c be (7 - 5) + -1*1. Let k(z) = c*v(z) - 2*f(z). Factor k(j).
-2*j**2*(j - 1)**2*(3*j - 2)
Let j be 0/(2 + -4 + 3). Let -2/7*h**3 + j - 2/7*h**4 + 2/7*h + 2/7*h**2 = 0. Calculate h.
-1, 0, 1
Let h be ((-10)/18)/(4 - 377/78). Factor 4/3 - h*f**2 - 2/3*f.
-2*(f - 1)*(f + 2)/3
Let s = -8 - -15. Let k be (-28)/s*(-1 - 0). Factor -3*d**4 + 2*d**3 - 3*d**4 + k*d**4.
-2*d**3*(d - 1)
Let f be 196/91 + 4/(-26). Find c such that -5*c**f + c**2 + 0*c**2 - 2*c**3 = 0.
-2, 0
Let s be (-8)/28 - 2/(-7). Factor 3*j**2 - 7*j - 11*j + s*j + 27.
3*(j - 3)**2
Let w(g) be the second derivative of 7*g**5/80 + 5*g**4/48 - g**3/12 - 2*g. Suppose w(o) = 0. Calculate o.
-1, 0, 2/7
Suppose -3*m + 7 = 28. Let y = -3 - m. Factor 2/7*w**3 + 0 + 0*w + 0*w**2 - 2/7*w**y.
-2*w**3*(w - 1)/7
Factor 6 - 3*q**4 - q - 27*q**2 + 3*q**4 + 5*q**3 + 3*q**4 + 14*q**2.
(q - 1)**2*(q + 3)*(3*q + 2)
Let o = -24 - -49. Suppose 16 = 3*c + 2*l, 3*l + o = 8*l. Factor 14/5*t**5 + 18/5*t**4 + 0*t + 0*t**c + 4/5*t**3 + 0.
2*t**3*(t + 1)*(7*t + 2)/5
Let j(f) = 6*f**5 - 2*f**4 - 14*f**3 + 2*f**2 + 10*f + 2. Let t(d) = 7*d**5 - d**4 - 15*d**3 + d**2 + 11*d + 3. Let o(b) = 3*j(b) - 2*t(b). Factor o(s).
4*s*(s - 2)*(s - 1)*(s + 1)**2
Let p(i) be the first derivative of i**3/2 + 3*i**2/2 + 12. Factor p(t).
3*t*(t + 2)/2
Suppose -3*b = -4*d + 36 + 27, 0 = 3*d - 3*b - 48. Let s = d - 11. Deter