t n**4 + n**4 + 6*n**2 + 6*n**3 + r*n - n = 0.
-1, 0
Let n(m) be the third derivative of -m**5/300 - m**4/30 + 2*m**3/5 + 66*m**2. Find j, given that n(j) = 0.
-6, 2
Let x(o) = o - 3 + o**2 + 3*o**2 + 0*o. Let k(m) = 3*m**2 + m - 2. Let b = 19 + -16. Let a(j) = b*k(j) - 2*x(j). Factor a(w).
w*(w + 1)
Let p(v) be the first derivative of v**6/21 + 2*v**5/7 + 4*v**4/7 + 8*v**3/21 + 8. Solve p(i) = 0.
-2, -1, 0
Suppose -3*s - s + 8 = 0. Factor 0*n + 0 + 1/2*n**4 + 1/2*n**s - n**3.
n**2*(n - 1)**2/2
Let n(d) be the second derivative of -d**5/4 - 35*d**4/12 - 25*d**3/2 - 45*d**2/2 + 30*d. Let n(j) = 0. Calculate j.
-3, -1
Suppose n - 46 - 73 = 2*x, 2*n = -x - 47. Let f be 2/7 - x/21. Factor b**f - 2*b**2 + b**2 + 0*b**3.
b**2*(b - 1)
Let i(t) be the second derivative of t**7/56 - t**6/40 - 3*t**5/40 + 41*t. Factor i(v).
3*v**3*(v - 2)*(v + 1)/4
Suppose 7 = i + h, -3*i - 10 = -3*h - 1. Suppose -i*q - q = 0. Find z such that -2/5*z**2 + 2/5*z**4 + 0*z**3 + 0 + q*z = 0.
-1, 0, 1
Suppose 5*j - 3*j = -4*f + 66, 0 = 5*j - 5. Factor 14 + 13 + 3*s**2 - 2*s - f*s.
3*(s - 3)**2
Let j(d) be the third derivative of -d**8/84 + 2*d**7/35 - d**6/10 + d**5/15 + 2*d**2. Factor j(v).
-4*v**2*(v - 1)**3
Let f be (-2)/(-2)*4/2. Factor 3*n**5 - 1 + 6*n**2 - 2 - 2 + f + 3*n - 3*n**4 - 6*n**3.
3*(n - 1)**3*(n + 1)**2
Let n be 23 + -15 - (4 + 0). Find l such that 2/3 + 5*l + 7/3*l**5 + 50/3*l**3 + 40/3*l**2 + 10*l**n = 0.
-1, -2/7
Let r(t) = -t**2 - 10*t - 7. Let f be r(-9). Factor w**f + w - 3*w**2 + w - 4*w.
-2*w*(w + 1)
What is z in 15*z - 63 - 5*z**2 + 63 = 0?
0, 3
Determine y, given that 13*y**3 + 3*y**2 - 2*y**3 - 6*y**3 - 4*y**3 - 4 = 0.
-2, 1
Let f(p) be the second derivative of 3*p**5/40 - p**4 + 7*p**3/4 + p + 14. Find x, given that f(x) = 0.
0, 1, 7
Let u(i) be the first derivative of -4/3*i**3 + 3*i**4 - 6*i**2 + 4*i + 8. Let u(h) = 0. What is h?
-1, 1/3, 1
Let j be (-26)/(-14) + (-1)/(-7). Factor 8*c**j - 32*c**2 - 48*c - 12 - 4*c**3 - 20.
-4*(c + 2)**3
Suppose -2*w + 24 = 4*w. Let n(t) be the second derivative of 3*t + 1/36*t**w + 0*t**3 + 0 - 1/6*t**2. Find p, given that n(p) = 0.
-1, 1
Let w(y) be the second derivative of y**6/10 + 3*y**5/2 + 25*y**4/4 - 38*y. Factor w(a).
3*a**2*(a + 5)**2
Find a such that -3*a + 2*a - 5*a**3 + 2*a**2 + 3*a**3 + a**3 = 0.
0, 1
Let q(c) be the second derivative of -5*c + 0*c**3 + 0 + 0*c**2 + 1/10*c**5 + 0*c**4. Factor q(n).
2*n**3
Let f be (-1)/((-3)/(28 - -2)). Factor -4*u**3 - 10 + f + 3*u**3 - u**2.
-u**2*(u + 1)
Let i(d) be the second derivative of 3*d**6/50 - 51*d**5/100 + 3*d**4/2 - 6*d**3/5 - 12*d**2/5 - 18*d. Factor i(v).
3*(v - 2)**3*(3*v + 1)/5
Let c(o) be the second derivative of -1/30*o**6 - o**2 + 1/6*o**3 - 1/20*o**5 - o + 0 + 1/4*o**4. Factor c(k).
-(k - 1)**2*(k + 1)*(k + 2)
Let k(v) = 15*v**2 - 210*v - 225. Let m(t) = -t**2 + 15*t + 16. Let s(f) = -6*k(f) - 85*m(f). Determine j, given that s(j) = 0.
-2, -1
Let n(l) be the second derivative of 19/150*l**6 - 1/15*l**3 + 0 + 3/20*l**5 - 2*l + 0*l**2 + 1/30*l**7 + 1/60*l**4. Suppose n(k) = 0. What is k?
-1, 0, 2/7
Let i(p) = 7*p**3 - p**2 + 11*p - 7. Let z(a) = 6 + 32*a - 17 - 4*a**2 + 20*a**3 - 9. Let v be (-1*2)/((-2)/(-5)). Let w(q) = v*z(q) + 14*i(q). Solve w(l) = 0.
1
Let a be (-43)/(-5) - (-3)/(-5). Factor -a*y**2 + 3*y**2 + 2*y**2 - 27 + 18*y.
-3*(y - 3)**2
Let v(x) = -x**3 + 2*x**2 + 5*x - 3. Let h be v(3). Suppose -s = -4*i - 14, 4*s - 2*i - 11 = h. Solve -b + 2*b**2 - s*b**5 - b**4 + 3 + 2*b**3 - 4 + b**5 = 0.
-1, 1
Solve d**2 - 25*d + 51*d + 4 - 30*d = 0.
2
Let w(a) be the first derivative of 4*a**5/35 - 4*a**3/7 - 4*a**2/7 - 4. Determine b, given that w(b) = 0.
-1, 0, 2
Let r(m) be the second derivative of 0*m**2 + 8*m + 1/24*m**4 + 0 - 1/24*m**3 - 1/80*m**5. Solve r(s) = 0.
0, 1
Let h(z) be the third derivative of z**7/525 - z**6/300 - z**5/75 - 2*z**2. Factor h(p).
2*p**2*(p - 2)*(p + 1)/5
Let q(f) = -7*f**4 - 27*f**3 - 24*f**2 - 5*f - 1. Let c(g) = 4*g**4 + 14*g**3 + 12*g**2 + 2*g. Let j(v) = -5*c(v) - 2*q(v). Factor j(w).
-2*(w + 1)**3*(3*w - 1)
Let l(i) = 65*i**4 + 90*i**3 - 125*i**2 + 10*i. Let o(u) = u**4 - u. Let m(f) = l(f) - 20*o(f). What is w in m(w) = 0?
-3, 0, 1/3, 2/3
Let x(w) = 2*w**2 - 11*w - 2. Let b be x(6). Let y be b/(-20)*1*-4. Suppose 2/5*o**3 + 2/5*o + y*o**2 + 0 = 0. Calculate o.
-1, 0
Factor 0 + 4*d**2 - 8/3*d - 4/3*d**3.
-4*d*(d - 2)*(d - 1)/3
Let v = 2 - -6. Let s be (7/(-21))/((-6)/v). Suppose 2/3*x**2 - s*x**3 - 2/9*x + 0 = 0. What is x?
0, 1/2, 1
Suppose 2*z + 5*o - 15 = -0*z, -3*z - 25 = -2*o. Let f = 7 + z. Factor 2 + 6*w**3 - w**2 + 2*w - w**2 - f*w - 6*w.
2*(w - 1)*(w + 1)*(3*w - 1)
Let w = 80 - 76. Let t(f) be the third derivative of 0*f + 0 + 0*f**4 + 0*f**3 - 1/20*f**5 + w*f**2. Factor t(j).
-3*j**2
Suppose -1 = -2*v + 3. Solve 31*z + v*z**2 + 2*z**5 - 31*z + z**4 - 3*z**4 - 2*z**3 = 0.
-1, 0, 1
Let c(t) be the second derivative of 1/75*t**6 + 3*t + 0*t**5 + 1/5*t**2 - 1/15*t**4 + 0 + 0*t**3. Factor c(o).
2*(o - 1)**2*(o + 1)**2/5
Let y(x) be the first derivative of -3*x**4/4 - 2*x**3 - 3*x**2/2 - 2. Factor y(a).
-3*a*(a + 1)**2
Factor 8/5*q + 4/5 + 4/5*q**2.
4*(q + 1)**2/5
Let l = 3236/7 - 462. Factor 0*n + 0*n**3 + 4/7*n**2 - 2/7 - l*n**4.
-2*(n - 1)**2*(n + 1)**2/7
Let q(b) be the first derivative of -b**4/66 - 4*b - 2. Let z(f) be the first derivative of q(f). Factor z(u).
-2*u**2/11
Let n(v) be the second derivative of v**6/45 - v**5/10 - v**4/18 + v**3/3 - 5*v. Let n(o) = 0. What is o?
-1, 0, 1, 3
Let q be 168/40 - (-4)/(-1). Let h(w) be the first derivative of 2/5*w + 1/10*w**4 - q*w**2 + 2 - 2/15*w**3. Factor h(t).
2*(t - 1)**2*(t + 1)/5
Let z(j) be the third derivative of j**7/2100 + j**6/180 + 2*j**5/75 + j**4/15 - 5*j**3/6 + 2*j**2. Let x(n) be the first derivative of z(n). Factor x(c).
2*(c + 1)*(c + 2)**2/5
Let g be 1 - (2 + 1)/6. Determine z so that -z**2 + g*z**3 - 1/2*z + 1 = 0.
-1, 1, 2
Let l(q) be the third derivative of q**8/1008 + q**7/70 + q**6/12 + 23*q**5/90 + 11*q**4/24 + q**3/2 - 3*q**2. Factor l(n).
(n + 1)**3*(n + 3)**2/3
Let g = -814/21 + 118/3. Factor 0*y + 0*y**3 + 4/7*y**4 - 8/7*y**2 + g.
4*(y - 1)**2*(y + 1)**2/7
Suppose 2*r = 2 + 6. Let t(s) = -2*s**4 - 8*s**3 - 3*s**2 - 2*s - 5. Let l(u) = -u**4 - 7*u**3 - 3*u**2 - u - 4. Let k(i) = r*t(i) - 5*l(i). Factor k(m).
-3*m*(m - 1)**2*(m + 1)
Let c(u) be the third derivative of -u**7/42 - u**6/24 + u**5/6 - 42*u**2. Factor c(r).
-5*r**2*(r - 1)*(r + 2)
Determine a, given that 1/2*a**5 - a + 5/2*a**2 - 1/2*a**4 + 0 - 3/2*a**3 = 0.
-2, 0, 1
Factor 0 + 3*n**2 - 6/7*n - 15/7*n**3.
-3*n*(n - 1)*(5*n - 2)/7
Let l(w) = -17*w**3 + 18*w**2 + 8*w. Let h(c) = 16*c**3 - 19*c**2 - 9*c. Let z(r) = 3*h(r) + 4*l(r). Factor z(o).
-5*o*(o - 1)*(4*o + 1)
Let n(f) = 3*f**2 - 4*f - 9. Let h(m) = -39*m**2 + 51*m + 117. Let r(u) = 2*h(u) + 27*n(u). Factor r(a).
3*(a - 3)*(a + 1)
Let s(q) be the second derivative of q**9/30240 - q**8/4480 + q**7/2520 - 5*q**4/12 + 5*q. Let k(o) be the third derivative of s(o). Factor k(d).
d**2*(d - 2)*(d - 1)/2
Suppose -9*y - 69 = -69. Factor y - 2/3*p**4 + 2*p - 2*p**3 + 2/3*p**2.
-2*p*(p - 1)*(p + 1)*(p + 3)/3
Let g be (-2)/8*0 + (-2)/(-3). Factor 0*m**2 + 0 - g*m**4 + 0*m - 2/3*m**3.
-2*m**3*(m + 1)/3
Factor -4*o**2 + 3*o**2 - 2*o - o**2.
-2*o*(o + 1)
Suppose 2*z - 4*z = -6*z. Let y(p) be the second derivative of -7/40*p**5 - 1/2*p**2 + 7/12*p**3 + z + 1/4*p**4 - 1/15*p**6 + 2*p. Let y(k) = 0. What is k?
-2, -1, 1/4, 1
Suppose 0 = -2*u + 7*u. Factor i + i**2 + u*i - i - 3*i.
i*(i - 3)
Let v be 1 - 2 - (-22)/(-36)*-2. Let d(n) be the first derivative of 0*n + v*n**3 + 1/3*n**2 + 3. Find x, given that d(x) = 0.
-1, 0
Let l(v) be the second derivative of v**9/52920 - v**8/23520 - v**4/12 - 3*v. Let b(u) be the third derivative of l(u). Let b(i) = 0. What is i?
0, 1
What is n in 2/3*n**2 + 4/3*n + 0 = 0?
-2, 0
Let w(k) = -2*k**3 - 2*k**2 - 4. Let m be w(-3). Let j = m + -30. Suppose -4/3*r + 2/3 + 2/3*r**j = 0. Calculate r.
1
Let k = 54 - 158/3. What is o in 0 + k*o**2 - 2*o**3 + 2/3*o**4 + 0*o = 0?
0, 1, 2
Let c(w) be the third derivative of 1/105*w**5 - 1/1176*w**8 + 0*w + 1/210*w**6 + w**2 - 1/21*w**3 + 0 - 1/84*w**4 - 1/735*w**7. Solve c(b) = 0.
-1, 1
Factor -4/5*b + 4*b**2 + 7/5*b**4 + 0 - 23/5*b**3.
b*(b - 2)*(b - 