ctor -2/3*l**4 + 2/3*l**3 - o*l + 2/3*l**2 + 0.
-2*l*(l - 1)**2*(l + 1)/3
Let k be ((-8)/60)/((-10)/50). Let b(j) be the first derivative of -2/9*j**3 - k*j**2 + 1 + 8/3*j + 1/12*j**4. Factor b(z).
(z - 2)**2*(z + 2)/3
Let w be (96/90)/4 - 3/(-9). What is k in 3/5 + w*k**2 - 6/5*k = 0?
1
Let p(d) be the second derivative of -d**4/30 - d**3/15 - 12*d. Find t, given that p(t) = 0.
-1, 0
Let r(i) be the third derivative of 0*i**3 - 2/1155*i**7 + 0*i - 8*i**2 + 0 + 0*i**5 + 1/660*i**6 + 0*i**4 + 1/1848*i**8. Factor r(p).
2*p**3*(p - 1)**2/11
Let f(t) be the second derivative of t**9/3780 + t**8/840 + t**7/630 - 5*t**4/12 + 4*t. Let z(w) be the third derivative of f(w). Suppose z(m) = 0. Calculate m.
-1, 0
Let a be 31188/(-28) - (-3)/(-21). Let t = a - -10036/9. Factor 0*b + 0 - 2/9*b**3 - 2/3*b**5 + 2/9*b**2 - t*b**4.
-2*b**2*(b + 1)**2*(3*b - 1)/9
Let w be (-6)/21 + 170/546. Let f = w + 4/13. Let -7/6*x + f + 5/6*x**2 = 0. Calculate x.
2/5, 1
Let b(v) be the second derivative of v**5/120 - v**3/12 + 9*v**2/2 - 2*v. Let q(m) be the first derivative of b(m). Let q(i) = 0. Calculate i.
-1, 1
Let v(n) be the second derivative of -n**6/630 + n**5/210 + n**3/2 - 5*n. Let y(q) be the second derivative of v(q). Find x such that y(x) = 0.
0, 1
Let w(s) be the first derivative of 3*s**2/2 - 3*s + 4. Let a be w(3). Find r, given that a*r - 1 + 27*r**3 + 1 + 0 + 33*r**2 = 0.
-1, -2/9, 0
Let b(z) = z**2 - 6*z + 1. Let i(y) = -2*y**2 + 11*y - 2. Let o(r) = -7*b(r) - 4*i(r). Determine n, given that o(n) = 0.
1
Suppose -12*a - 6*a = 0. Let a + 3/2*k**3 + 0*k + 3/2*k**2 = 0. Calculate k.
-1, 0
Suppose 3*w + 2*v - 5 = 0, -5*w + v - 6*v = 0. Suppose 18*l**3 - 4*l**5 - l**2 - l**2 + 12*l**3 - 38*l**4 + 18*l**w - 4*l = 0. What is l?
-2/7, 0, 1
Let z(a) be the third derivative of -a**5/100 - 3*a**4/5 - 72*a**3/5 - 57*a**2. Factor z(i).
-3*(i + 12)**2/5
Let f(l) = -l - 1. Let i(s) = 3*s + 16. Let r(u) = 2*f(u) + i(u). Let a be r(-12). Determine m so that 3/2*m**a + 1/4*m**4 + m + m**3 + 1/4 = 0.
-1
Let h(n) be the second derivative of 2*n**5/35 - 5*n**4/14 + 8*n**3/21 + 3*n**2/7 + 2*n - 23. Factor h(y).
2*(y - 3)*(y - 1)*(4*y + 1)/7
Let h be 1*-2 + 1 - -4. Suppose h = -2*m + 5*m. Factor -m - 2*b**3 + b**2 + 3*b**3 - b + 0*b**3.
(b - 1)*(b + 1)**2
Factor 1/2*y**3 - 1/2*y + 1/2 - 1/2*y**2.
(y - 1)**2*(y + 1)/2
Let a(p) be the second derivative of 0*p**4 + 1/10*p**5 + 2*p + 0 + 0*p**6 - 1/42*p**7 - 1/6*p**3 + 0*p**2. Let a(b) = 0. What is b?
-1, 0, 1
Let w(h) = -h**2 + 14*h + 29. Let i be w(15). Suppose t - i = -6*t. Determine a, given that 4/5 - 6/5*a + 2/5*a**t = 0.
1, 2
Let p(r) be the third derivative of r**8/504 - r**6/180 - 7*r**2. Solve p(n) = 0.
-1, 0, 1
Let f(n) = -n**3 + 5*n**2 + 2*n - 2. Let b be f(5). Let o(i) = -i**2 - 26*i - 1. Let v(c) = c**2 + 17*c + 1. Let j(p) = b*v(p) + 5*o(p). Factor j(q).
3*(q + 1)**2
Suppose 3*y - 34 = -4*d, -2*y - 6 = -4*d - 2. Factor -9*q**5 + 3*q**3 - q**5 + y*q**2 - q**3 - 14*q**4.
-2*q**2*(q + 1)**2*(5*q - 3)
Let c(w) be the first derivative of w**6/105 - w**4/14 + 2*w**3/21 + 3*w - 2. Let r(z) be the first derivative of c(z). Factor r(i).
2*i*(i - 1)**2*(i + 2)/7
Let b(l) be the first derivative of -l**6/720 - l**5/240 - l**3 - 3. Let w(c) be the third derivative of b(c). Factor w(h).
-h*(h + 1)/2
Suppose -5*h + 6 = -4. Let q**3 + 2*q - 7*q**2 + q**3 - h*q**3 - 2*q**3 + 7*q**4 = 0. Calculate q.
-1, 0, 2/7, 1
Let j be 3*((-10)/(-6))/5. Let a be 1*(1 + 1/j). Suppose -4*v**3 - 3*v**2 + 5*v**2 - 4*v**a - 2*v**4 = 0. Calculate v.
-1, 0
Let k be (-1)/((5*(-3 - -4))/(-1)). Determine j so that 0 - 1/5*j**3 + 2/5*j - k*j**2 = 0.
-2, 0, 1
Let c(h) = -h + 14. Let s be c(9). Let z(o) be the second derivative of 7/50*o**s - 1/5*o**2 - 2/75*o**6 - 3/10*o**4 + 1/3*o**3 - 2*o + 0. Solve z(t) = 0 for t.
1/2, 1
Let o(z) be the third derivative of 0*z + 0*z**3 + 1/6*z**4 + 0 - 3*z**2 + 1/30*z**5. Factor o(f).
2*f*(f + 2)
Let -9/4*h**2 - 15/4*h + 27/4*h**3 - 3/4 = 0. Calculate h.
-1/3, 1
Let q(k) be the first derivative of 0*k**2 + 0*k**5 + 0*k + 1/9*k**6 + 4 - 1/6*k**4 + 0*k**3. Factor q(j).
2*j**3*(j - 1)*(j + 1)/3
Suppose -4*v = -5*v + 134. Suppose -5*p = -p - 312. What is a in -48*a - 11*a**5 + 4 + p*a**4 - 7*a**5 - v*a**3 + 114*a**2 + 4 = 0?
2/3, 1
Suppose -q + 2*i + 8 = -2, 0 = -4*q - 3*i + 7. Let b be 4/((-2)/4 - -1). Determine m so that m**5 - 3*m + b*m**3 + 2*m**2 + m**4 - 6*m**3 + 1 - q*m**4 = 0.
-1, 1
Let b(w) be the first derivative of w**3/15 + w**2 + 5*w + 20. Let b(m) = 0. Calculate m.
-5
Let k = -5/391 + -8101/8602. Let g = -39/110 - k. Let 1/5*j**4 + 0 - g*j**3 + 3/5*j**2 - 1/5*j = 0. Calculate j.
0, 1
Suppose 0 = -2*t + 5*c - 15, -c + 2 + 1 = -2*t. Factor -5 + 6*a**3 - 8*a**2 - 4*a + 13 - 2*a**3 + t.
4*(a - 2)*(a - 1)*(a + 1)
Let n = 0 + 4. Find f, given that -3 - 2 + 3 - 2*f**2 + n*f = 0.
1
Let d(z) be the second derivative of z**6/100 - z**5/150 - z**4/20 + z**3/15 + z**2 + z. Let o(s) be the first derivative of d(s). Factor o(k).
2*(k - 1)*(k + 1)*(3*k - 1)/5
Let u(b) = 2*b**2 - 2*b - 4. Let h(i) = -i - 3 + 2 - 1 + i**2. Let c(z) = 9*h(z) - 4*u(z). Find o such that c(o) = 0.
-1, 2
Let q be 3/9 + 106/6. Let h be 7/3 + 12/q. Factor 9*l**2 - 7*l**2 + 15*l**3 - 2*l**4 - 2*l**5 - 5*l**h - 16*l + 8.
-2*(l - 1)**3*(l + 2)**2
Let p(o) = -2*o**3 - 2*o**2 + 4*o + 3. Let z(r) = 3*r + 1 - r**3 - 3*r + r. Let b(s) = p(s) - 3*z(s). Let b(n) = 0. Calculate n.
0, 1
Solve 0 - 1/5*k**3 + 1/5*k**2 + 0*k - 2/5*k**4 = 0.
-1, 0, 1/2
Let b(n) = n**2 - 1. Let z be -1 - (-2 - (0 + -2)). Let o(w) be the first derivative of -w**4 - 3*w**3 - 5*w**2/2 + 6. Let f(l) = z*o(l) - b(l). Factor f(v).
(v + 1)*(2*v + 1)**2
Find p such that -28/5*p + 4/5*p**2 + 0 + 28/5*p**3 - 4/5*p**4 = 0.
-1, 0, 1, 7
Let b(a) be the third derivative of -a**5/210 + a**4/42 + a**3/7 + 11*a**2. Factor b(k).
-2*(k - 3)*(k + 1)/7
Let p(t) = t**2 - 7*t + 5. Let m(c) = c**2 + c - 1. Let q be 4 + -6 - (3 + -4). Let n(d) = q*p(d) - m(d). Factor n(z).
-2*(z - 2)*(z - 1)
Factor 3/2*i**2 - 3/2 + 0*i.
3*(i - 1)*(i + 1)/2
Suppose 0 = -4*x + 31 - 7. Suppose 3*b + 3*j - 3 = x*b, -15 = -3*j. Factor -5*t**4 + 5*t**4 + t**b - t**2.
t**2*(t - 1)*(t + 1)
Let q be 3/6*2 - -1. Let h = q + 4. What is d in 2*d**4 + 2*d**5 + 4*d**3 - 3*d**2 + d**2 - h*d**5 = 0?
-1, 0, 1/2, 1
Let v(f) be the first derivative of 2*f**5/5 + f**4/2 - 2*f**3 - f**2 + 4*f + 4. Solve v(y) = 0.
-2, -1, 1
Let s(r) be the third derivative of 1/8*r**4 - 1/40*r**6 - 1/20*r**5 + 0 + 0*r**3 + 4*r**2 + 1/70*r**7 + 0*r. Solve s(i) = 0.
-1, 0, 1
Let o(p) be the first derivative of p**5/5 - p**3/3 - 2. Factor o(a).
a**2*(a - 1)*(a + 1)
Let p(f) be the first derivative of -1/7*f**2 - 1/21*f**6 + 0*f - 4 - 3/7*f**4 + 8/21*f**3 + 8/35*f**5. What is n in p(n) = 0?
0, 1
Let g = -337 - -1015/3. What is q in g*q**3 + 2/3 - 4/3*q + 0*q**2 - 2/3*q**4 = 0?
-1, 1
Let p(j) be the second derivative of -3*j + 1/150*j**6 + 0*j**3 + 0 - 1/60*j**4 - 1/100*j**5 + 0*j**2 + 1/210*j**7. Determine k, given that p(k) = 0.
-1, 0, 1
Let s(y) be the third derivative of y**8/1176 - 4*y**7/735 + y**6/84 - y**5/105 + 67*y**2. Factor s(h).
2*h**2*(h - 2)*(h - 1)**2/7
Let -d**2 + 0*d**2 - 3*d**2 + 3*d**2 - 2*d + 3 = 0. Calculate d.
-3, 1
Let b = -8 + 13. Factor 18*p**4 - 2 + b + 33*p**2 - 1 + 32*p**3 + 4*p**5 + 12*p - 5*p**2.
2*(p + 1)**4*(2*p + 1)
Let q = 6 + -3. Let 4*s**2 + 2*s**q - 2*s**2 + 8*s**2 - 4*s**2 = 0. Calculate s.
-3, 0
Let y(b) be the first derivative of -1/2*b**2 - 1/15*b**3 - 4/5*b + 7. Solve y(u) = 0 for u.
-4, -1
Suppose y - 16 = -z, 5*z + 3*y = y + 65. Let g = 15 - z. Determine b, given that 0*b - 6/7*b**3 + 4/7*b**2 - 2*b**5 - 24/7*b**g + 0 = 0.
-1, 0, 2/7
Factor -8/13*o**2 - 4/13 + 2/13*o**3 + 10/13*o.
2*(o - 2)*(o - 1)**2/13
Let r be 2/8*10 - 2. Let g = 14/9 + -19/18. Suppose 1/2 - 1/2*o**2 - g*o + r*o**3 = 0. What is o?
-1, 1
Let h(v) = v**3 + 5*v**2 + 3. Let c(z) = 15 + 15*z**2 + 4*z**3 + 6*z**2 + 2 - 4. Let k(n) = -6*c(n) + 26*h(n). Factor k(y).
2*y**2*(y + 2)
Suppose 3*x = -5*t + 7, 2*t + 3 = t - 5*x. Solve 5*j - 4*j**3 - 8 - j + 43*j**2 - 35*j**t = 0 for j.
-1, 1, 2
Let h(y) = 3*y**3 + y**2 - y + 1. Let j be h(1). Suppose 5*z = 3*g + 10, -j*g + 8 = 4*z - 0*g. Let r**2 - z*r**2 + 2*r**2 = 0. What is r?
0
Let a(t) be the first derivative 