
Let l be (-2)/(-6)*0/1 - -2. Suppose t - 7 = -3*o - 1, -o + 5*t + 18 = 0. Factor -2 + 4*s - 1/2*s**l - 3/2*s**o.
-(s - 1)*(s + 2)*(3*s - 2)/2
Let b be -2*-2*(-1)/(-2). Let i be (-1)/2 + (3 - b). Find a, given that 1/2*a**2 + a**3 + 0*a + i*a**4 + 0 = 0.
-1, 0
Let b(y) = -y**3 - y**2 + y - 1. Let z(d) = -7*d**3 - 59*d**2 - 481*d - 1463. Let p(u) = 10*b(u) - 2*z(u). Let p(a) = 0. What is a?
-9
Let z(j) be the first derivative of j**4/2 + 8*j**3/3 + 7. Factor z(a).
2*a**2*(a + 4)
Let f be 1/(-4)*(-16)/2. Let o(x) be the first derivative of -8/3*x**f + 4/3*x + 7/9*x**3 - 2. Factor o(a).
(a - 2)*(7*a - 2)/3
Let w be 2/3*(-2 - -8). Solve -2*p**5 - 4*p - 22*p**3 - 3*p**2 + w*p**3 - 10*p**4 - 11*p**2 + 0*p**2 = 0 for p.
-2, -1, 0
Solve 0 - 2/15*a**3 + 0*a + 4/15*a**2 = 0.
0, 2
Let a(s) = -s**2 - 3 + 1 + 3*s**2 - 2*s + s**3. Let z be a(-2). Solve -2/3*y**3 + 0 + 0*y - 2/3*y**z = 0.
-1, 0
Determine n, given that 0 - 2/17*n**3 + 0*n - 14/17*n**2 = 0.
-7, 0
Let o(b) be the first derivative of 3 - 1/20*b**5 + 1/8*b**4 - 1/12*b**3 + 0*b**2 + 0*b. Factor o(g).
-g**2*(g - 1)**2/4
Let c(a) be the third derivative of 1/168*a**8 + 0*a**4 + 0*a**3 - 2/105*a**7 + 0*a + 0 + 0*a**5 + 1/60*a**6 + 6*a**2. Let c(k) = 0. What is k?
0, 1
Let d(g) be the second derivative of -g**5/110 + 17*g**4/66 - 21*g**3/11 - 81*g**2/11 - 28*g. What is k in d(k) = 0?
-1, 9
Let k(u) be the third derivative of 0 + 0*u**3 - 2*u**2 + 1/60*u**5 + 0*u - 1/48*u**4 - 1/240*u**6. Determine d so that k(d) = 0.
0, 1
Let f(n) be the third derivative of 1/60*n**5 - 1/30*n**6 + 3*n**2 + 0*n**3 + 0*n + 1/12*n**4 - 1/70*n**7 + 0. Factor f(s).
-s*(s + 1)**2*(3*s - 2)
Let a be 4/2 + (-96)/66. Let m = a + -1/22. Solve 0 - 3/2*o**4 + m*o**2 + 0*o**3 + 0*o - o**5 = 0 for o.
-1, 0, 1/2
What is a in -3/2*a**3 - 9*a**2 - 18*a - 12 = 0?
-2
Let v(d) = -9*d**5 + 10*d**4 - d**3 + 6*d + 6. Let o(b) = -100*b**5 + 110*b**4 - 10*b**3 + 65*b + 65. Let p(l) = 6*o(l) - 65*v(l). Factor p(g).
-5*g**3*(g - 1)*(3*g + 1)
Let s = 21 + -19. Let v(u) be the third derivative of 0 + 0*u**3 - s*u**2 + 0*u**6 + 1/315*u**7 - 1/30*u**5 - 1/18*u**4 + 0*u. Factor v(r).
2*r*(r - 2)*(r + 1)**2/3
Let n be -3*(-3)/(2 - -103). Let w(z) be the third derivative of -1/735*z**7 - n*z**5 - 8/21*z**3 + 0 + 2*z**2 + 5/21*z**4 + 1/60*z**6 + 0*z. Factor w(c).
-2*(c - 2)**3*(c - 1)/7
What is x in 0 + 6/5*x - 3/5*x**2 = 0?
0, 2
Let b(s) = s**3 - 9*s**2 + 7*s + 10. Let v be b(8). Suppose 4*n + 4*x = 24, 0 = 5*n - 3*x + v - 0. Factor -n*y**2 - 2 - 1 - 6*y - y**2 + 0*y.
-3*(y + 1)**2
Let r be ((-10)/7)/2*(-42)/35. Suppose 12/7*y**2 - 16/7*y**4 - 2*y + 8/7*y**3 + r*y**5 + 4/7 = 0. What is y?
-1, 2/3, 1
Let f(r) = r - 8. Let g be f(4). Let c be (-21)/(-2)*g/(-24). Factor -1/4*i + 0 - 15/4*i**3 - 13/4*i**4 - i**5 - c*i**2.
-i*(i + 1)**3*(4*i + 1)/4
Let r(i) be the third derivative of 0*i**3 + 1/105*i**7 - 1/30*i**5 + 3*i**2 + 0*i + 0*i**4 + 0*i**6 + 0. Factor r(a).
2*a**2*(a - 1)*(a + 1)
Suppose 2 = 2*b - 2. Factor 3*j**4 - j**4 - 3*j**3 - 2*j**2 - b*j**3 - 2*j + 7*j**3.
2*j*(j - 1)*(j + 1)**2
Let b(w) be the second derivative of -w**7/525 - w**6/150 + w**4/30 + w**3/15 - w**2 + 2*w. Let i(n) be the first derivative of b(n). Factor i(a).
-2*(a - 1)*(a + 1)**3/5
Let h(i) be the second derivative of -i**5/90 - i**4/54 + 2*i**3/27 - i. Determine r so that h(r) = 0.
-2, 0, 1
Factor 2/17*w**2 + 0 + 6/17*w.
2*w*(w + 3)/17
Let y(r) be the third derivative of 0*r - 1/6*r**3 + 3*r**2 + 1/16*r**4 + 1/420*r**7 + 1/120*r**5 + 0 - 1/80*r**6. Solve y(w) = 0.
-1, 1, 2
Determine j, given that -j - 1/7*j**2 - 6/7 = 0.
-6, -1
Let p = 447 - 889/2. Factor -7/2*q**3 + 0 + p*q**2 + q.
-q*(q - 1)*(7*q + 2)/2
Let m(p) = 5*p**3 - p**2 + 1. Let j be m(1). Suppose 0*w = -w + 3*u + 3, 0 = -j*u. Find a such that 0*a**2 + 0*a**4 + 2/9*a**w - 2/9*a**5 + 0*a + 0 = 0.
-1, 0, 1
Solve 2/9*x + 4/9 - 2/9*x**2 = 0.
-1, 2
Let z = -13 - -16. Let s(l) be the second derivative of 1/36*l**4 + 0 + 1/6*l**2 + 1/9*l**z - l. Suppose s(y) = 0. Calculate y.
-1
Let i(m) be the third derivative of m**8/672 - m**7/420 - m**6/48 + m**5/120 + m**4/6 + m**3/3 - 2*m**2 - 4. Factor i(q).
(q - 2)**2*(q + 1)**3/2
Let f be (-3)/((-42)/(-3 + 9)). Find l, given that f*l**3 - 9/7*l - 6/7 + 0*l**2 = 0.
-1, 2
Let m(q) be the third derivative of -q**5/60 + q**4/12 + 6*q**2. Find h such that m(h) = 0.
0, 2
Let c(m) = m. Let d(i) = -2*i**2 - 14*i - 2. Let q be (10/(-3))/((-3)/(-9)). Let y = 0 + -1. Let l(w) = q*c(w) + y*d(w). Find f, given that l(f) = 0.
-1
Factor 16/7*f - 8/7 + 2/7*f**3 - 10/7*f**2.
2*(f - 2)**2*(f - 1)/7
Let a(l) be the first derivative of -l**6/240 - l**5/120 + l**4/24 - 5*l**2/2 - 6. Let o(g) be the second derivative of a(g). What is w in o(w) = 0?
-2, 0, 1
Let t(i) = i**2 - 8*i - 6. Let b be t(9). Let k(w) = -2*w - 3. Let f be k(-3). Let g + g**3 + g**3 - b*g**f = 0. Calculate g.
-1, 0, 1
Let y be (-21)/(-6) + 4/(-8). Let u(o) be the third derivative of 0*o**y - 1/24*o**4 + 0*o - 1/60*o**5 + 0 - o**2. Determine h so that u(h) = 0.
-1, 0
Let b(r) be the third derivative of r**6/80 + r**5/120 - r**4/16 - r**3/12 - 21*r**2. Factor b(k).
(k - 1)*(k + 1)*(3*k + 1)/2
Let l(c) be the second derivative of 1/2*c**2 + 3/4*c**4 + 0 + c**3 - 4*c + 1/5*c**5. Factor l(s).
(s + 1)**2*(4*s + 1)
Let o(n) be the third derivative of n**8/840 + n**7/525 + 31*n**2. Let o(r) = 0. Calculate r.
-1, 0
Let c = 79 - 76. Find o such that 0*o - 1/2*o**2 + 0 + 1/4*o**c = 0.
0, 2
Let t(c) = -c**2 + 46*c - 129. Let x(l) = 45*l - 130. Let j(s) = -5*t(s) + 4*x(s). Factor j(m).
5*(m - 5)**2
Let u(i) be the first derivative of 0*i**2 - 1/8*i**4 + 1/6*i**3 + 5 + 0*i. Factor u(d).
-d**2*(d - 1)/2
Let a(n) = -13*n - 1. Let y be a(1). Let h = y - -16. Factor -2/3*p**h - 4/3*p - 2/3.
-2*(p + 1)**2/3
Suppose 3*i + i = 8. Let u(p) be the first derivative of -1 + 0*p**i + 1/5*p - 1/15*p**3. Find r such that u(r) = 0.
-1, 1
Let o = 146/3 + -48. Determine u, given that -2/3*u**3 - 2/3 + 2/3*u**2 + o*u = 0.
-1, 1
Solve 22/3*w**3 + 2*w**4 + 10/3*w + 4/9 + 74/9*w**2 = 0 for w.
-2, -1, -1/3
Let r = -1405/2 - -707. Factor 11*g**2 + 1/2*g**4 + 12*g + r + 4*g**3.
(g + 1)**2*(g + 3)**2/2
Solve -2/15*s + 2/15*s**3 + 0 + 0*s**2 = 0.
-1, 0, 1
Let a be (-20)/(-30) - (0 - -2) - -4. Find i, given that -4/3 - 4/3*i**4 + a*i**2 - 2/3*i**5 - 2/3*i + 4/3*i**3 = 0.
-2, -1, 1
Let u(b) be the first derivative of -b**6/30 + b**5/20 + 7*b + 8. Let a(l) be the first derivative of u(l). Suppose a(i) = 0. Calculate i.
0, 1
Suppose 5 = 2*j + 1. Factor -3*v**j + v**2 + 6*v**5 - 2*v - 2*v**5 + 10*v**4 + 6*v**3.
2*v*(v + 1)**3*(2*v - 1)
Suppose -3*w + 2*w = 0. Let h(u) be the third derivative of -1/12*u**4 + 0 + w*u + 1/60*u**5 + u**2 + 0*u**3. Determine k, given that h(k) = 0.
0, 2
Let v(n) be the first derivative of -n - 1 - 63/8*n**4 - 109/12*n**3 - 9/2*n**2 - 49/20*n**5. Suppose v(z) = 0. What is z?
-1, -2/7
Let q(s) be the second derivative of -s**6/225 - s**5/50 - s**4/45 - 7*s. Find g such that q(g) = 0.
-2, -1, 0
Let z = 20 + -12. Suppose 18 + 18 = 4*i. Suppose -4 - 6*h**3 - 3*h - 4*h**2 + z*h + i*h = 0. What is h?
-2, 1/3, 1
Let d(v) = v**2 + 10*v + 3. Let o be d(-10). Factor 2 + 6*q - o*q**2 - 5 + 0*q**2.
-3*(q - 1)**2
Let i(o) = -o**3 - 11*o**2 - 10*o + 12. Let d be i(-10). Let d*u**3 + 6*u**3 + 2*u**2 + 32*u**2 + 10*u - 2*u**2 - 4 = 0. Calculate u.
-1, 2/9
Let s(q) be the second derivative of -q**4/60 - 2*q**3/15 + 2*q. Factor s(p).
-p*(p + 4)/5
Solve 0*j**3 + 0*j + 0*j**2 + 0 - 16/7*j**5 + 4/7*j**4 = 0.
0, 1/4
Let x(j) be the second derivative of j**7/21 - j**6/15 - j**5/10 + j**4/6 - 3*j. Factor x(t).
2*t**2*(t - 1)**2*(t + 1)
Let y be 11/44 + 14/8. Factor 3*s**5 + 3*s**3 - y*s + 11*s**4 - 9*s**2 - s - 2*s**4 - 3*s.
3*s*(s - 1)*(s + 1)**2*(s + 2)
Let r(m) be the first derivative of m**6/3 - 2*m**5/5 - 3. Factor r(h).
2*h**4*(h - 1)
Let q = -4/63 + 2/7. Let l = 1613/9 + -179. Solve 8/9*h + 8/9*h**3 - q - l*h**4 - 4/3*h**2 = 0 for h.
1
Factor -p**3 + 5*p - 51 + 55 + 2*p**2 - p + 3*p.
-(p - 4)*(p + 1)**2
Suppose 0 = 23*g - 27*g + 12. Let a(m) be the first derivative of 2/27*m**g - 3 - 2/9*m**2 + 0*m. Factor a(y).
2*y*(y - 2)/9
Let v be (-3)/12 - (18/8)/(-1). Factor -1/2*r**v - 3/4*r + 1/2.
-(r + 2)*(2*r - 1)/4
Let i(r) = 19*r**3 + 27*r**2 - 13*r. Let g(h) = 5*