2, 0
Factor 9/7 + 12/7*t + 4/7*t**2.
(2*t + 3)**2/7
Let z(g) be the first derivative of 9*g**5/5 + 21*g**4/4 + 2*g**3 - 8. Factor z(x).
3*x**2*(x + 2)*(3*x + 1)
Let y(h) = h**5 + 10*h**4 - 15*h**3 + 17*h**2 - 7*h - 3. Let a(i) = 10*i**4 - 16*i**3 + 16*i**2 - 6*i - 2. Let x(p) = -6*a(p) + 4*y(p). Factor x(s).
4*s*(s - 2)*(s - 1)**3
Let b(k) be the second derivative of 0*k**3 - 1/60*k**4 + 0 + 1/10*k**2 - 6*k. Let b(s) = 0. What is s?
-1, 1
Let h = -206/45 - -24/5. Solve h - 2/9*t**2 + 2/9*t**3 - 2/9*t = 0.
-1, 1
Find a such that -3*a**2 + 2*a + 8*a + 7*a**2 + a**2 - 15 = 0.
-3, 1
Let a(j) be the first derivative of j**3 + 15*j**2 - 33*j + 8. Factor a(n).
3*(n - 1)*(n + 11)
Let -3/5*g**2 - 2/5*g**3 + 0*g + 1/5*g**4 + 0 = 0. Calculate g.
-1, 0, 3
Let o(v) = v**3 + v**2 - 4*v. Let a be o(-2). Let z be (-1 - 3)*9/(-16). Let 3/4 + 3/4*l**5 - 9/4*l**a + 3/2*l**2 + 3/2*l**3 - z*l = 0. Calculate l.
-1, 1
Let m(l) be the second derivative of l**5/90 - l**4/27 + l**3/27 + 14*l. What is c in m(c) = 0?
0, 1
Factor 2/13*m - 2/13*m**2 + 0.
-2*m*(m - 1)/13
Let s be ((-2327)/4)/(7/(-4)). Let t = s + -331. Suppose -2*x + 2/7*x**4 - t*x**3 + 18/7*x**2 + 4/7 = 0. Calculate x.
1, 2
Let w(v) be the third derivative of v**7/42 - v**5/4 + 5*v**4/12 + 18*v**2. Factor w(r).
5*r*(r - 1)**2*(r + 2)
Let n(m) be the second derivative of m**5/170 + m**4/51 + m**3/51 + 14*m. Solve n(f) = 0 for f.
-1, 0
Let z(t) = 3*t**3 - 2*t**2 - 7*t. Let s(k) = -6*k**3 + 5*k**2 + 15*k - 1. Let w(c) = 4*s(c) + 9*z(c). Let m(y) = -1. Let u(n) = -2*m(n) + w(n). Factor u(i).
(i - 1)*(i + 1)*(3*i + 2)
Let w(o) be the third derivative of o**5/140 + 5*o**4/56 - 24*o**2. Factor w(t).
3*t*(t + 5)/7
Factor -7*z**3 - 5*z**3 - 8*z + 16*z**3 - 2*z**2 - 2*z**2.
4*z*(z - 2)*(z + 1)
Let h = 57 + -54. Let j(o) be the second derivative of o + 0 + 1/9*o**4 + 0*o**2 - 2/45*o**6 + 1/9*o**h + 0*o**5 - 1/63*o**7. Factor j(f).
-2*f*(f - 1)*(f + 1)**3/3
Factor -8/23 - 8/23*a - 2/23*a**2.
-2*(a + 2)**2/23
Let -5*t**3 + 3*t**4 + 2*t**4 + 0*t**4 = 0. Calculate t.
0, 1
Let o(p) be the third derivative of 0*p + 1/4*p**4 + 0 + 1/30*p**5 + 3*p**2 + 2/3*p**3. Factor o(f).
2*(f + 1)*(f + 2)
Let a(y) = y**3 - y + 1. Let r(x) = 2*x**3 - 2*x**2 - 2*x + 5. Let h(j) = -6*a(j) + 2*r(j). Find n such that h(n) = 0.
-2, -1, 1
Let i(w) be the third derivative of -w**5/20 - 19*w**4/32 + 5*w**3/8 + 2*w**2 + 10*w. Factor i(n).
-3*(n + 5)*(4*n - 1)/4
Factor 65*c**2 + 5*c**5 + 20*c + 18*c**4 + 27*c**3 + 48*c**3 + 17*c**4.
5*c*(c + 1)**3*(c + 4)
Factor 27/8*z**2 + 33/8*z + 3/4.
3*(z + 1)*(9*z + 2)/8
Let v be (-2 + 1)*-1*0. Suppose v = -0*b + b. Factor 0*l**4 + 1/3*l**3 + 0*l**2 + b*l + 0 - 1/3*l**5.
-l**3*(l - 1)*(l + 1)/3
Let p(u) be the second derivative of u**2 + 0 - 1/6*u**4 - 2*u + 0*u**3. What is j in p(j) = 0?
-1, 1
Suppose 54*b - 56 = 26*b. Suppose -3*s = -4*r - 3, 12 = r + s + 4. What is v in 2/5*v**b - 3/5*v**r - 2/5 + 3/5*v = 0?
-1, 2/3, 1
Let g(c) be the second derivative of 5*c**7/21 - 17*c**6/15 + 8*c**5/5 - 2*c**4/3 + 3*c. Find l, given that g(l) = 0.
0, 2/5, 1, 2
Let q(w) be the third derivative of w**9/1512 + w**8/280 + w**7/140 + w**6/180 - w**3/6 - 6*w**2. Let v(c) be the first derivative of q(c). Factor v(b).
2*b**2*(b + 1)**3
Suppose 0 = 5*r + 5*n + 9 + 1, 0 = -4*n - 20. Let s = r + -3. Let s*c + 2*c + 0*c**2 + 2*c**2 = 0. Calculate c.
-1, 0
Solve 5 - 11 + 9*y**2 - 4*y - 7*y**2 = 0.
-1, 3
Let y(g) = g**3 + 7*g**2 - 3*g. Let c be y(-4). Let r = 182/3 - c. Determine v so that -2/3*v**3 + 2/3*v**2 + r*v - 2/3*v**4 + 0 = 0.
-1, 0, 1
Let q = 101/78 + 1/26. Factor -q*l + 0 + 10/3*l**3 + 2*l**2.
2*l*(l + 1)*(5*l - 2)/3
Let u be 5/15 + 265/(-3). Let n = u - -266/3. Factor -5/3*z - n + 7/3*z**2.
(z - 1)*(7*z + 2)/3
Let n(j) be the third derivative of j**6/120 + j**5/30 + j**4/24 + 12*j**2. Factor n(i).
i*(i + 1)**2
Let p be 1/(-2 + -1) - (-30)/63. Let i(j) be the first derivative of 4 + 4/7*j - 4/21*j**3 - 1/14*j**4 + p*j**2. Determine x, given that i(x) = 0.
-2, -1, 1
Let d(h) = -3*h**4 + h**3 - 5*h**2 - 6*h + 8. Let s(w) = 6*w**4 - 3*w**3 + 9*w**2 + 12*w - 15. Let c(u) = -9*d(u) - 5*s(u). Factor c(j).
-3*(j - 1)**3*(j + 1)
Let k(u) be the third derivative of -u**6/60 + 7*u**5/30 - 5*u**4/4 + 3*u**3 + 14*u**2. Factor k(x).
-2*(x - 3)**2*(x - 1)
Find i, given that -2*i + 2*i + 10*i**2 + 23*i**5 - 15*i**3 - 18*i**5 = 0.
-2, 0, 1
Let h(j) = 4*j**2 + 5*j**2 - 2*j**2 - 2*j**2 + 2. Let p(x) = -11*x**2 + x - 5. Let i(l) = -5*h(l) - 2*p(l). Factor i(b).
-b*(3*b + 2)
Let b(j) be the second derivative of j**7/84 - 7*j**6/20 + 15*j**5/8 + 361*j**4/24 + 34*j**3 + 36*j**2 + 23*j. Factor b(c).
(c - 12)**2*(c + 1)**3/2
Let o(w) be the second derivative of 0 - w + 1/24*w**4 - 1/24*w**3 + 0*w**2 - 1/80*w**5. Factor o(y).
-y*(y - 1)**2/4
Let f(n) be the third derivative of n**8/84 + 2*n**7/105 - n**6/30 - n**5/15 + n**2. Let f(t) = 0. Calculate t.
-1, 0, 1
Let b(m) be the second derivative of -m**5/140 - 5*m**4/84 + m**3/42 + 5*m**2/14 + m. Factor b(r).
-(r - 1)*(r + 1)*(r + 5)/7
Let b(t) be the second derivative of t**7/350 + t**6/200 - t**5/50 - 2*t**2 + t. Let v(n) be the first derivative of b(n). Suppose v(f) = 0. What is f?
-2, 0, 1
Let h be 6*((-92)/108 - -1). Let y(i) be the first derivative of -i**4 - 1/9*i**6 + h*i**3 + 0*i + 8/15*i**5 + 2 - 1/3*i**2. Factor y(r).
-2*r*(r - 1)**4/3
Let l(f) be the third derivative of f**8/84 - 2*f**7/35 + f**6/15 + 2*f**5/15 - f**4/2 + 2*f**3/3 - 4*f**2. Find v, given that l(v) = 0.
-1, 1
Let j be 18/6 + 0 + 1. Let l(i) be the third derivative of 1/12*i**j - 1/9*i**3 - 1/30*i**5 + 1/180*i**6 + 0 - i**2 + 0*i. Suppose l(q) = 0. Calculate q.
1
Factor 2/3*s**2 + 0 + 2*s.
2*s*(s + 3)/3
Factor 3/4*k + 0*k**2 - 3/4*k**3 + 0.
-3*k*(k - 1)*(k + 1)/4
Suppose 0 = -4*u + 4*k + 32, 3*u + 4*k + 23 = 4*u. Let o(h) be the first derivative of -3/4*h**4 + h + 3/2*h**2 + 1 - 1/3*h**u. Factor o(j).
-(j - 1)*(j + 1)*(3*j + 1)
Let h(a) = -4*a**2 + 2*a. Let w(m) = 2*m**2 + 5*m - 3. Let p be w(-4). Let l(g) = 17*g**2 - 9*g. Let n(y) = p*h(y) + 2*l(y). Factor n(q).
-2*q**2
Let x be (-2)/(-18)*38/19. Factor x*s**2 - 2/3*s + 4/9.
2*(s - 2)*(s - 1)/9
Let f be ((-28)/35)/(14/(-130)). Let n = -50/7 + f. Solve -2/7*q + 0*q**4 + 0 + 4/7*q**3 - n*q**5 + 0*q**2 = 0.
-1, 0, 1
Solve 2/7 + 2/7*i**5 + 11/7*i + 23/7*i**2 + 23/7*i**3 + 11/7*i**4 = 0.
-2, -1, -1/2
Suppose -3*u - 14 = -5*x - 4*u, 0 = -3*x - 2*u + 14. Solve -6*f**3 - 30*f + 26*f**x + 4*f + 0 + 6 = 0 for f.
1/3, 1, 3
Suppose -14 = -2*g - 2. Factor -5*y + 2 - g*y**2 + 2*y**2 - 3.
-(y + 1)*(4*y + 1)
Suppose -4*c = -2*c - 8. Suppose 5*i - 5*b = -25, 34 = c*i + 4*b + 14. Let 0*x**2 + i - 2/9*x**3 + 0*x = 0. Calculate x.
0
Find w such that 2/19*w**2 - 4/19 + 2/19*w = 0.
-2, 1
Let g(o) be the third derivative of o**9/181440 - o**8/60480 - o**7/7560 - o**5/15 - 5*o**2. Let n(b) be the third derivative of g(b). Factor n(a).
a*(a - 2)*(a + 1)/3
Suppose -10*k**2 + 15*k**2 - 3*k**3 - 2*k**3 = 0. Calculate k.
0, 1
Let h(k) be the third derivative of k**6/240 + k**5/120 - k**4/48 - k**3/12 - 6*k**2. Factor h(w).
(w - 1)*(w + 1)**2/2
Let q(i) = 6. Suppose 2*x = 5*a + 8, -a - 3 = 2*x - x. Let h be a/4 - (-5)/2. Let g(z) = z**2 - z + 25. Let s(j) = h*g(j) - 9*q(j). Find u, given that s(u) = 0.
-1, 2
Let o(s) be the second derivative of 1/240*s**5 + 1/6*s**3 + 0*s**2 + 1/1440*s**6 + 0 + 0*s**4 - 2*s. Let h(m) be the second derivative of o(m). Factor h(c).
c*(c + 2)/4
Suppose -3*b = -2*b + 2*b. Let d(u) be the first derivative of 1/4*u**3 + 0*u**2 + 1 + b*u. What is t in d(t) = 0?
0
Suppose k - 8 = -6. Factor -k*r**3 + 0 - 2*r**4 + 0*r**3 + 2*r**5 + 0 + 2*r**2.
2*r**2*(r - 1)**2*(r + 1)
Find y such that -24*y**4 + 13*y**4 + 6*y**2 + 3*y**5 - 3*y**3 + 5*y**4 = 0.
-1, 0, 1, 2
Let a(d) be the third derivative of -d**6/40 + 3*d**4/8 + d**3 + 7*d**2. Factor a(z).
-3*(z - 2)*(z + 1)**2
Let g(k) be the first derivative of 3*k**4/8 + 2*k**3/3 - 5*k**2/4 - k - 15. Factor g(u).
(u - 1)*(u + 2)*(3*u + 1)/2
Let b be 2/1*(-11 - -5). Let w be (-2)/(1 - b/(-3)). Factor -2*t**4 - 2*t**3 - w*t**2 + 0*t - 2/3*t**5 + 0.
-2*t**2*(t + 1)**3/3
Let s(w) be the third derivative of w**5/12 + 7*w**4/24 - w**3 - 2*w**2. Let l(b) = 9*b**2 + 13*b - 11. Let c(q) = -6*l(q) + 11*s(q). Factor c(z).
z*(z - 1)
Let c(b) be t