*j**2 + 2*j. Let z(m) = -4*a(m) + 3*q(m). Factor z(g).
3*g*(g - 2)*(g + 1)**2
Let q(g) = -2*g. Let v be (0/1)/(0 + -1). Let s be q(v). Solve 0 + s*o**2 - 2/9*o + 2/9*o**3 = 0.
-1, 0, 1
Suppose 0 = t + 3*p + 10, 5*t = 3*t - p. Suppose -s - 3*r = -11 - 3, 4*s - t*r = 0. Let -8/9 - 2/9*d**s + 8/9*d = 0. What is d?
2
Let a be (-1 + -1)*(-3 - 9). Let b be 24/9*2/a. Factor 2/9*o**2 + 0 + b*o.
2*o*(o + 1)/9
Let u(g) be the first derivative of g**3 + 3*g**2 - 4. Solve u(d) = 0.
-2, 0
Factor 0 - 2/5*c + 2/5*c**2.
2*c*(c - 1)/5
Let a(i) be the third derivative of 4/3*i**4 + 8/3*i**3 + 1/30*i**6 + 2*i**2 + 0*i + 1/3*i**5 + 0. Factor a(g).
4*(g + 1)*(g + 2)**2
Let f = -204/11 + 3363/176. Let o(m) be the first derivative of -21/8*m**2 + f*m**4 - 3/2*m - 1/2*m**3 - 4. Factor o(a).
3*(a - 2)*(a + 1)*(3*a + 1)/4
Factor 9*j**5 - 8*j**5 + 7*j**2 - 8*j**2 + 2*j + j**4 - 3*j**3.
j*(j - 1)**2*(j + 1)*(j + 2)
Factor 0*p + 3*p + 36*p**2 + 13*p - 10*p**3.
-2*p*(p - 4)*(5*p + 2)
Let b(m) = m + 8. Let u be b(-4). Suppose -21 = -3*l + 5*i, -24*i - 8 = -l - 22*i. Solve l*q**3 + 0 + 14/5*q**u + 2/5*q**2 + 6/5*q**5 + 0*q = 0.
-1, -1/3, 0
Let u(p) be the third derivative of -p**7/70 + 2*p**6/35 - 11*p**5/140 + p**4/28 + 10*p**2. Let u(q) = 0. Calculate q.
0, 2/7, 1
Factor -1/4*g**4 - 1/2*g + 1/2*g**3 + 1/4*g**2 + 0.
-g*(g - 2)*(g - 1)*(g + 1)/4
Let s(c) = 3*c**2 + c - 2. Let i(n) = 2*n - 1. Let d be i(-1). Let u(q) = q**2 - 1. Let g(f) = d*s(f) + 8*u(f). Find y such that g(y) = 0.
-2, -1
Let z(n) be the second derivative of -n**4/54 + n**3/27 + 2*n**2/9 - 6*n. Factor z(a).
-2*(a - 2)*(a + 1)/9
Let r(x) be the second derivative of -1/2*x**3 - 1/8*x**4 - x + 0 - 3/4*x**2. Factor r(a).
-3*(a + 1)**2/2
Let d(i) be the third derivative of 0*i**4 + 0*i**3 + 0 + 0*i + 7*i**2 - 1/270*i**5. Factor d(u).
-2*u**2/9
Let z be (-9)/6*8/(-4). Factor 2/7*x**z + 0 + 2/7*x**2 + 0*x.
2*x**2*(x + 1)/7
Let d(m) be the third derivative of -m**8/13440 + m**7/1260 - m**6/360 - 5*m**4/24 - 3*m**2. Let r(y) be the second derivative of d(y). Solve r(f) = 0.
0, 2
Let m(b) = -b**2 + b. Let j(z) = z**3 - 13*z**2 + 11*z + 4. Let h(i) = -j(i) + 6*m(i). Let p be h(6). Factor -8/7*u - 32/7*u**2 + 0 - p*u**3.
-2*u*(u + 2)*(7*u + 2)/7
Let y(h) be the first derivative of h**6/300 - h**4/60 - h**2/2 - 4. Let s(i) be the second derivative of y(i). What is m in s(m) = 0?
-1, 0, 1
Let h be ((-26)/4)/(-13) + 1/(-18). Let w(d) be the first derivative of 2/3*d + 1 + 1/12*d**4 + 5/6*d**2 + h*d**3. Let w(b) = 0. Calculate b.
-2, -1
Suppose 2*p = 4*p - 4. Factor -3*u**p - 12 - 3*u - 10*u + u.
-3*(u + 2)**2
Let j(v) be the third derivative of 2*v**7/105 - v**6/30 + 3*v**2. Find l, given that j(l) = 0.
0, 1
Let s(a) be the second derivative of 0 - 1/21*a**3 + a - 1/210*a**5 + 1/42*a**4 + 1/2*a**2. Let b(j) be the first derivative of s(j). Factor b(m).
-2*(m - 1)**2/7
Let f(y) be the second derivative of -y**4/3 - 8*y. Suppose f(b) = 0. What is b?
0
Let f(m) = 5*m**2 - 6*m. Let z(r) = -6*r**2 + 6*r. Let d(g) = -3*f(g) - 2*z(g). Let d(x) = 0. Calculate x.
0, 2
Let u = -6 + 2. Let p = u + 7. Factor -2*s**4 - p*s**3 + 4*s**4 + 5*s**3.
2*s**3*(s + 1)
Let j be (1 - -1) + 0/(-1). Let m = -7 - -10. Find q, given that -q**m + q**2 + 0*q**2 + q**j = 0.
0, 2
Let d(x) be the first derivative of x**6/3 + 2*x**5 + 5*x**4 + 20*x**3/3 + 5*x**2 + 2*x + 11. Factor d(j).
2*(j + 1)**5
Determine p, given that 8/5*p**5 - 16/5*p - 28/5*p**3 - 14/5*p**4 + 58/5*p**2 - 8/5 = 0.
-2, -1/4, 1, 2
Let x(q) be the third derivative of -1/210*q**5 + q**2 + 0*q**3 + 0 + 0*q - 1/84*q**4. Suppose x(a) = 0. What is a?
-1, 0
Suppose 5*i + 5*r = 7*i + 14, -3*i - r = -13. Factor 8/9 + 14/3*j**2 + 98/9*j**i - 16/3*j.
2*(j + 1)*(7*j - 2)**2/9
Let b(h) be the first derivative of -5/2*h**4 - 3*h**2 - 4 + h + 3/5*h**5 + 4*h**3. Suppose b(d) = 0. Calculate d.
1/3, 1
Factor 2*l**2 + 5*l - 2*l**2 - 5*l**2.
-5*l*(l - 1)
Let a be 22/(-99)*2/268. Let o = a + 7243/4221. Factor 18/7 - o*q + 2/7*q**2.
2*(q - 3)**2/7
Let f(t) = -t**2. Let r(g) = -9*g**2 - 10*g - 25. Let b(h) = 24*f(h) - 3*r(h). Factor b(m).
3*(m + 5)**2
Let w = 22 + -18. Suppose 0 + 0*m - 2/3*m**3 - 2/3*m**w + 0*m**2 = 0. What is m?
-1, 0
Let h(s) be the first derivative of -20*s**3/3 + 24*s**2 - 16*s + 2. Let h(o) = 0. What is o?
2/5, 2
Let q(p) = -p**3 + 9*p**2 - 6*p - 14. Let m be q(8). Determine b so that 4/11 - 18/11*b**3 + 10/11*b**m - 14/11*b**4 + 18/11*b = 0.
-1, -2/7, 1
Suppose 0 = -w + s + 5, 7*s - 2*s = -2*w - 25. Suppose -4*t + 2*t - 4*g + 12 = w, 14 = 4*t + 3*g. Solve k**3 + 0 + 0*k - 4*k**4 + 7/3*k**5 + 2/3*k**t = 0.
-2/7, 0, 1
Let d be ((-2)/1 + 0)/(0 + -16). Let f(r) be the second derivative of d*r**4 + 3/2*r**2 + 0 - 3/4*r**3 - 3*r. Determine j so that f(j) = 0.
1, 2
Suppose -8*d = -16*d. Factor 0 + 2*u**2 + 4/3*u - 2/3*u**4 + d*u**3.
-2*u*(u - 2)*(u + 1)**2/3
Let r = -22/3 + 8. Find o, given that -o - r - 1/3*o**2 = 0.
-2, -1
Suppose -6 = -u + 6. Suppose 4*o + 6 = w, 2*w = -2*w + 4*o + u. Solve 1/2 - 3/2*r - 1/2*r**3 + 3/2*r**w = 0 for r.
1
Let t(j) = j**2 - 8*j + 10. Let p be t(7). Suppose 4*n = 3*h + 31, 43 = p*n - 3*h + 16. What is l in 0*l**5 - 4*l**n + 0*l**5 + 2*l + 4*l**2 - 2*l**5 = 0?
-1, 0, 1
Let g(v) be the third derivative of -1/180*v**6 + 4/9*v**3 - 5*v**2 + 0*v - 1/30*v**5 + 0*v**4 + 0. Factor g(f).
-2*(f - 1)*(f + 2)**2/3
Let g(c) = c**4 - c**2 + c. Let w(a) = -8*a**5 - 8*a**4 - 2*a**3 - 2*a**2 + 2*a. Let u(l) = 2*g(l) - w(l). Factor u(x).
2*x**3*(x + 1)*(4*x + 1)
Let l(p) be the third derivative of p**8/504 - 2*p**7/105 + 7*p**6/90 - 8*p**5/45 + p**4/4 - 2*p**3/9 - 6*p**2. Factor l(y).
2*(y - 2)*(y - 1)**4/3
Let o(k) = 2*k**2 + 12*k + 18. Let v(q) = 2*q**2 - 3 + 14 + 12*q + 7. Let g(d) = -5*o(d) + 6*v(d). Let g(h) = 0. Calculate h.
-3
Let n = 6 - 3. Let k be -1 + (18/n)/3. Let q(o) = -o**2 + o. Let a(b) = -b**3 + 5*b**2 - 2*b - 2. Let g(r) = k*a(r) + 3*q(r). Determine p, given that g(p) = 0.
-1, 1, 2
Let d(q) = q**2 + 14*q - 12. Let n be d(-15). Let b(p) be the second derivative of 0 - 2/27*p**3 + n*p + 0*p**2 + 1/54*p**4. Factor b(m).
2*m*(m - 2)/9
Suppose 1/3*c**4 + 2/3*c**3 + 0 + 0*c + 0*c**2 = 0. Calculate c.
-2, 0
Suppose 4*u + 4 = -2*g, 1 = -5*u - 4. Find l such that 1/2*l**2 - 1/4*l - 1/4*l**3 + g = 0.
0, 1
Let p be 520/504 - 2/14. Factor -p*u**4 - 2/9*u + 0 - 4/3*u**2 - 2*u**3.
-2*u*(u + 1)**2*(4*u + 1)/9
Let b(j) be the first derivative of 5*j**3/3 - 5*j + 68. Factor b(y).
5*(y - 1)*(y + 1)
Let y(n) be the second derivative of 0 + 0*n**2 + 1/60*n**5 + 1/36*n**4 - 3*n + 0*n**3. Factor y(g).
g**2*(g + 1)/3
Let q(h) = -10*h + 93. Let t be q(9). Find c such that -4/3*c**4 + 0*c**t - 2/3*c + 0 + 4/3*c**2 + 2/3*c**5 = 0.
-1, 0, 1
Let c be (8/6 + -1)*33. Let j(o) = o**3 + 4*o**2 + o. Let d(a) = 5*a**3 + 21*a**2 + 5*a. Let w(i) = c*j(i) - 2*d(i). Factor w(l).
l*(l + 1)**2
Let f(a) be the second derivative of a + 0*a**4 + 0 + 0*a**2 + 1/80*a**5 + 1/120*a**6 + 0*a**3. Factor f(d).
d**3*(d + 1)/4
Let x(y) be the first derivative of y**8/10080 + y**3 + 4. Let v(w) be the third derivative of x(w). Factor v(s).
s**4/6
Suppose -111/5*l**2 + 72/5*l - 12/5 - 12/5*l**4 + 63/5*l**3 = 0. What is l?
1/4, 1, 2
Let x(i) be the first derivative of 5*i**4/4 + i**3 - i**2 - 14. Find c such that x(c) = 0.
-1, 0, 2/5
Suppose 4*p + 6 = 18. Find u such that u - p*u**3 + 3*u**4 + u**5 - u**2 + u - 2*u**4 = 0.
-2, -1, 0, 1
Let s(v) be the first derivative of -1/10*v**5 + 3*v + 0*v**2 + 2 + 1/3*v**4 + 0*v**3. Let z(j) be the first derivative of s(j). Let z(i) = 0. What is i?
0, 2
Find h, given that -h**3 + 2*h**2 + 1144*h - 1145*h + 0*h**2 = 0.
0, 1
Let n(h) = 2*h - 10. Let d be n(8). Suppose -4*t + 14 = 5*g - 3*t, 0 = g - 3*t - d. Let -i**3 - 2*i**3 + g*i**4 + 0*i**4 = 0. Calculate i.
0, 1
Suppose 9 + 5 = 2*b + 5*j, 0 = -5*b + 4*j + 35. Factor b*t - 2 - 2*t**2 + 0 + 0*t - 3*t.
-2*(t - 1)**2
Let q = 117 + -113. Factor -2/5*j + 0 - 4/5*j**2 + 2/5*j**5 + 0*j**3 + 4/5*j**q.
2*j*(j - 1)*(j + 1)**3/5
Let c(f) be the second derivative of -f**3/6 + 5*f**2 + 2*f. Let t be c(5). Solve -2/7*a**3 - 2/7*a**2 + 2/7*a**4 + 2/7*a**t + 0*a + 0 = 0 for a.
-1, 0, 1
Let l(c) be the third derivative of c**6/200 - c**5/300 - c**4/40 + c**3/30 + 2*c**2. Let l(z) = 0. What is z?
-1, 1/3, 1
Solve 2/3*l**3 - 2/3*l - 1 + 