tor 15*i + 3 + 7 - 3*i**3 - 2*i**3 + 0*i**3.
-5*(i - 2)*(i + 1)**2
Let b = -11 + 8. Let r be 1/b*10*-1. What is g in -4/3*g**2 - r*g + 10/3*g**3 + 4/3 = 0?
-1, 2/5, 1
Let c(f) be the third derivative of f**8/1008 - f**7/315 + f**6/360 - f**2. Factor c(t).
t**3*(t - 1)**2/3
Let l(g) be the first derivative of g**5/80 - g**4/16 + g**3/8 - g**2/8 + 2*g + 2. Let t(v) be the first derivative of l(v). Suppose t(z) = 0. What is z?
1
Suppose v = y - 3 - 1, -4 = 2*v - y. Let n be (0/2)/((-8)/(-28)*7). What is g in 1/3*g**2 + n + v*g = 0?
0
Let w be 186/(-279) + (-1)/3*-4. Factor 4/3 - 4/3*n**2 + w*n - 2/3*n**3.
-2*(n - 1)*(n + 1)*(n + 2)/3
Let j = -23 + 26. Factor 0*x**2 + 3/5*x - 1/5*x**j + 2/5.
-(x - 2)*(x + 1)**2/5
Find c such that -12*c**2 - 8 - 4*c**3 + 20 + 4 = 0.
-2, 1
Solve 9*t**2 - 5*t - 10*t**2 + 5*t**2 - 3*t = 0.
0, 2
Let m(d) be the first derivative of d**4/10 + 4*d**3/15 + d**2/5 + 11. Factor m(j).
2*j*(j + 1)**2/5
Suppose 3*n + 2*s - 14 = -2*n, 5*s = 5*n - 35. Factor -m**5 - 6*m - 2*m**2 + 2*m**4 + n*m + 3*m.
-m*(m - 1)**3*(m + 1)
Let o(l) = l - 2. Let p be o(5). Determine x so that -x**4 - x + 2*x**3 + 0*x**3 - x**p + x**2 = 0.
-1, 0, 1
Let q(c) be the second derivative of c**7/840 - c**6/1080 + c**4/4 + c. Let l(f) be the third derivative of q(f). Determine u so that l(u) = 0.
0, 2/9
Let o(u) = -58*u**3 - 154*u**2 + 86*u - 6. Let l(n) = 175*n**3 + 463*n**2 - 259*n + 19. Let d(v) = -6*l(v) - 17*o(v). Suppose d(k) = 0. Calculate k.
-3, 1/4
Factor 12 - 4*a + 6*a + 7*a - 3*a**2.
-3*(a - 4)*(a + 1)
Suppose 16 = 4*n - 4*h, -21 = -4*n + h - 2*h. Factor 4*r - 3*r**5 + 4*r**n - 2*r**3 - 2*r**2 - 3*r + 1 + r**4.
(r - 1)**2*(r + 1)**3
Let r(g) = -7*g**5 - 11*g**4 - 3*g**3 - 7*g**2 - 2*g. Let u(o) = o**5 + o**4 - o**3. Let k(x) = -r(x) - 6*u(x). Factor k(b).
b*(b + 1)**3*(b + 2)
Let l = -11 - -16. Find m, given that -l*m**2 - 3 + m + 3*m**3 - 1 + 5 = 0.
-1/3, 1
Let b(u) = -3*u**2 - 3*u + 3. Let a(j) = 2*j**2 + j - 1. Suppose -3*f = 3*v - 3, 3*v - 23 = -0*v + 2*f. Let h(x) = v*a(x) + 3*b(x). Factor h(k).
(k - 2)**2
Find b, given that -3/7*b**2 + 0 + 6/7*b = 0.
0, 2
Let 0 + 0*j - 1/4*j**2 = 0. Calculate j.
0
Suppose -5*d = -0 - 10, 0 = k + 5*d + 4. Let r = -7 - k. Determine n, given that -2*n**2 - r + 7 + 2*n = 0.
0, 1
Let s = 15 + -9. Let b = 10 - 6. Let -3*h**b + s*h**4 - 2*h**3 + 2*h**5 - 2*h**2 - h**4 = 0. What is h?
-1, 0, 1
Let p be 8 - (-2 - -5) - 3. Suppose 4*q**p + 4 + 2*q + q**2 - 7*q**2 = 0. Calculate q.
-1, 2
Let y(m) be the second derivative of -m**7/14 - 7*m**6/10 - 6*m**5/5 + 4*m**4 - 4*m. What is q in y(q) = 0?
-4, 0, 1
Suppose 17*q - 9*q - 56 = 0. Let w(x) be the second derivative of 0*x**2 - 2/75*x**6 + x + 0 + 0*x**4 + 1/105*x**q + 1/50*x**5 + 0*x**3. Factor w(v).
2*v**3*(v - 1)**2/5
Suppose -2*i = -3*d - 2, -d = 3*i - 5*d - 4. Factor -4/3*a**i + 0 + 4/3*a**2 - 1/3*a + 1/3*a**3.
-a*(a - 1)*(a + 1)*(4*a - 1)/3
Suppose 53 = 3*p - 10. What is v in 3*v**2 + 9*v - p + 0*v**2 + 27 = 0?
-2, -1
Let a be 6/4 - (-3)/2. Let g(k) be the second derivative of -a*k + 0*k**2 + 0*k**3 + 1/20*k**6 - 3/40*k**5 + 1/24*k**4 + 0 - 1/84*k**7. Factor g(p).
-p**2*(p - 1)**3/2
Let q(b) be the third derivative of b**7/490 + 3*b**6/70 + 27*b**5/70 + 27*b**4/14 + 81*b**3/14 + 10*b**2. Find m such that q(m) = 0.
-3
Let w(z) be the third derivative of z**6/200 - z**4/40 - 3*z**2. Solve w(m) = 0 for m.
-1, 0, 1
Factor 0 - 6*l - 63/2*l**3 - 36*l**2 + 147/2*l**4.
3*l*(l - 1)*(7*l + 2)**2/2
Let d(y) = -14*y + 30. Let v(j) = -j**2 - 13*j + 29. Let z(g) = -6*d(g) + 4*v(g). Factor z(t).
-4*(t - 4)**2
Let v = -1 - -4. Let z(f) = 2*f**5 + 4*f**4 - 5*f**3 - 5*f - 5. Let y(t) = t**5 + 2*t**4 - 3*t**3 - 3*t - 3. Let l(c) = v*z(c) - 5*y(c). Factor l(g).
g**4*(g + 2)
Let s(b) be the first derivative of -b**4/12 + 2*b**3/9 - b**2/6 - 17. Suppose s(n) = 0. Calculate n.
0, 1
Let d(m) = m**3 - 6*m**2 + 2. Let f be d(6). Factor 7/4*c**2 + 0 + f*c**3 + 1/4*c - 4*c**4.
-c*(c - 1)*(4*c + 1)**2/4
Suppose 7*z - 24 = 3*z. Factor z*p + 8 + 1 + p**2 + 4 - 4.
(p + 3)**2
Let g(r) = -4 + 1 + 4 + 6 + r. Let j be g(-7). Factor 0*w**2 + j - 2/3*w**3 + 2/3*w.
-2*w*(w - 1)*(w + 1)/3
Factor 7/4*t**4 - 1/2*t**2 + 0*t + 0 - 5/4*t**3.
t**2*(t - 1)*(7*t + 2)/4
Let b(t) = 2*t**2 - 14*t + 6. Let o(x) = x**2 - 13*x + 7. Let n(z) = -5*b(z) + 6*o(z). Factor n(w).
-4*(w - 1)*(w + 3)
Let z(s) be the first derivative of -3*s**4/4 + 4*s**3 - 6*s**2 - 33. Factor z(a).
-3*a*(a - 2)**2
Factor 13*w - 35*w**3 - 45*w**2 + 22*w - 58*w + 13*w.
-5*w*(w + 1)*(7*w + 2)
Let t(q) be the first derivative of -q**7/2940 + q**6/420 - q**4/21 + 5*q**3/3 + 8. Let y(z) be the third derivative of t(z). Factor y(h).
-2*(h - 2)**2*(h + 1)/7
Suppose 2*h + 4 = 3*h. Let s be -1 + 0/2 + h. Factor 0*p**4 + 2*p**4 - 4*p**4 - 2*p**s.
-2*p**3*(p + 1)
Let o(j) be the third derivative of -3*j**8/56 + 4*j**7/35 + 17*j**6/60 - 4*j**5/15 - j**4/3 + 9*j**2. Suppose o(g) = 0. Calculate g.
-1, -1/3, 0, 2/3, 2
Let l(f) = -2*f - 4. Let i be l(-3). Suppose y - 3*y + 4*w + 6 = 0, -w - 6 = -2*y. Factor y*s - 7*s**i - 7*s**3 - s**2 + 5*s**4 + 0*s + s.
s*(s - 2)*(s + 1)*(5*s - 2)
Let o = 3 + -2. Let v be 9/3 + (1 - o). Factor z**2 + 4 + 0*z - v*z**2 + 2*z.
-2*(z - 2)*(z + 1)
Find f such that 8*f**2 - 5*f**5 + 20*f**5 - 24*f**3 - 3*f**2 - 21*f**4 + 7*f**2 = 0.
-1, 0, 2/5, 2
Let n(w) = 18*w**3 - 6*w**2 + 8*w. Let a(v) = 12*v**3 - 4*v**2 + 5*v. Suppose 7*j - 2*j + 40 = 0. Let c(g) = j*a(g) + 5*n(g). Factor c(h).
-2*h**2*(3*h - 1)
Determine h, given that 0 + 1/3*h + 1/3*h**2 = 0.
-1, 0
Let c(q) be the first derivative of q**8/560 + q**7/280 - q**6/120 - q**5/40 + q**3/3 - 1. Let f(t) be the third derivative of c(t). Factor f(m).
3*m*(m - 1)*(m + 1)**2
Let m be (-21)/(-45) + 8/(-20). Let o(g) be the second derivative of 1/5*g**5 - 1/21*g**7 - 1/3*g**3 + 1/3*g**4 - g**2 + 0 + 2*g - m*g**6. Factor o(y).
-2*(y - 1)**2*(y + 1)**3
Let f(a) be the first derivative of a**6/90 - 11*a**5/360 + a**4/36 - a**3/3 - 3. Let o(x) be the third derivative of f(x). Find m such that o(m) = 0.
1/4, 2/3
Let c(y) = y**2 + 1. Let v(g) = -6*g**2 - 2. Let u(s) = -4*c(s) - v(s). Factor u(b).
2*(b - 1)*(b + 1)
Let s = 10 + -2. Find n such that 7*n**3 + 0*n + s*n - 6 + 27*n**2 - 22*n**3 - 21*n**4 + 7*n = 0.
-1, 2/7, 1
Let b(a) be the first derivative of -2*a**6/3 + 4*a**4 - 8*a**3/3 - 6*a**2 + 8*a + 15. Factor b(g).
-4*(g - 1)**3*(g + 1)*(g + 2)
Suppose 0 = -4*y - 3*s + 31, 7 = 2*y + s - 6. Let d be (-6 - -10)*1/2. Solve -6*c**d + y*c + 2*c + 3 - 5*c + 2*c = 0.
-1/2, 1
Let p(k) be the first derivative of 3*k**6/10 - 6*k**5/5 + 3*k**4/2 - 3*k**2/2 + 6*k/5 - 3. Factor p(c).
3*(c - 1)**4*(3*c + 2)/5
Let g(n) be the first derivative of 3 - 12*n**3 + 12*n**2 - 4*n + 7*n**4 + 9*n**4 - 12*n**4. Let g(q) = 0. Calculate q.
1/4, 1
Let q(k) be the first derivative of 2*k**6 - 16*k**5/5 - 4*k**4 + 8*k**3 + 2*k**2 - 8*k + 43. Factor q(s).
4*(s - 1)**3*(s + 1)*(3*s + 2)
Factor -2*i**3 + 0 + 0*i + 4/3*i**2 + 2/3*i**4.
2*i**2*(i - 2)*(i - 1)/3
Solve 6/7 - 9/7*x + 3/7*x**2 = 0.
1, 2
Determine s so that 18*s + 276*s**4 + 32*s**2 + 3 + 28*s**3 + 2*s**5 - 264*s**4 + 1 = 0.
-2, -1
Let v(m) be the first derivative of -4/5*m**4 + 1/5*m + 8/15*m**3 - 3 + 7/10*m**2. Factor v(j).
-(j - 1)*(4*j + 1)**2/5
Suppose 3*y = -3*v + 6, 2*y - 3 = -v + 1. Suppose -2 = -w - g, -g - 2*g - 4 = -y*w. Suppose -1/3*q**w + 0*q + 1/3 = 0. Calculate q.
-1, 1
Suppose 0*x - 2*x + 4 = 0. Suppose 5*i - x*y = 0, 0 = 2*i - y - y + 6. Solve -5*t - t**2 - t + 2*t**2 + 2*t**i = 0.
0, 2
Suppose 2*l + 0 = -4*s + 24, 5*s + 3*l - 31 = 0. Let f(h) be the first derivative of 0*h**2 + 0*h**3 - 1 + 1/24*h**4 + 0*h - 1/30*h**s. What is d in f(d) = 0?
0, 1
Let z(c) be the third derivative of 0*c + 3*c**2 + 4/21*c**3 + 1/14*c**5 + 0 - 4/21*c**4. Solve z(f) = 0 for f.
2/5, 2/3
Let z(l) = l**2 - 7*l + 4. Let m be z(3). Let a = 10 + m. What is d in -2/3*d + 2/3*d**3 + 0 + 2/3*d**4 - 2/3*d**a = 0?
-1, 0, 1
Let r be 4/(3/3*2). Factor 4*v - r*v - 5*v**2 + 7*v**2.
2*v*(v + 1)
Let u be 4*(0 - 2/(-4)). Let x(p) be the first derivative of p**4 - 4*p**u + 2/5*p**5 - 2*p**3 + 1 + 8*p. Factor x(r).
2*(r - 1)**2*(r + 2)**2
Let s(r) be the first derivative of -r**7/63 - 4*r**6/15 - 9*r**5/5 - 6*r**4 - 9*r**3 - 5*r + 5. Let x(f) be the first derivative of s(f). F