9*p = 8. Let m be (13/(-6) + 2)*-2. Factor 2/3 + m*v**p + v.
(v + 1)*(v + 2)/3
Factor 22*a + 18 - 21*a + 14*a + 3*a**2.
3*(a + 2)*(a + 3)
Solve 1/3*i**4 + i**2 - 4/3 - 4/3*i**3 + 4/3*i = 0 for i.
-1, 1, 2
Let -r**2 - 3*r - 9/4 = 0. What is r?
-3/2
Let h(w) be the first derivative of w**6/21 - 2*w**4/7 - 4*w**3/21 + 3*w**2/7 + 4*w/7 + 46. Solve h(r) = 0 for r.
-1, 1, 2
Find g such that -g**5 - g**5 - 8*g + 2*g**3 + g**5 + 7*g = 0.
-1, 0, 1
Let z = -833 - -1715/2. Let v = z + -23. Suppose 1/2*c**2 + 3/2*c**3 + 1/2*c**5 + 0 + v*c**4 + 0*c = 0. What is c?
-1, 0
Let l(d) = 15*d**3 + 3*d**2 - 36*d + 12. Let f(k) = 15*k**3 + 4*k**2 - 36*k + 12. Let j(c) = 6*f(c) - 5*l(c). Factor j(b).
3*(b - 1)*(b + 2)*(5*b - 2)
Suppose -2*n - 3*n + 20 = 0. Suppose 2 + n = 3*r. Find k such that 4/5*k**3 + 1/5 + 4/5*k + 6/5*k**r + 1/5*k**4 = 0.
-1
Let x = -5 - -8. Suppose -11 = 3*t - 8*t + x*i, 0 = 4*t + 5*i - 31. Factor 2 - 2*l**t + 3*l**3 - 4*l + 6*l**3 - 5*l**3.
-2*(l - 1)**3*(l + 1)
Let d(v) be the second derivative of 1/6*v**3 + 7*v + 1/126*v**7 + 1/5*v**5 + 5/18*v**4 + 0*v**2 + 0 + 1/15*v**6. Suppose d(o) = 0. What is o?
-3, -1, 0
Let y = 68/195 - 1/65. Factor 2/3 - y*b**2 - 1/3*b.
-(b - 1)*(b + 2)/3
Let i be (-35)/(-30) + -1 + 0. Let b(p) be the first derivative of -1/9*p**3 + i*p**2 + 2 + 0*p. Factor b(g).
-g*(g - 1)/3
Let k(q) = -2*q**2 - q + 3. Let g = 1 - 0. Let l(d) be the third derivative of d**5/60 - d**3/6 - d**2. Let z(j) = g*k(j) + 3*l(j). Factor z(h).
h*(h - 1)
Let i(g) be the first derivative of g**3 - 9*g**2/2 - 5*g - 3. Let m(t) = 4*t**2 - 10*t - 6. Let x(w) = -6*i(w) + 5*m(w). Factor x(b).
2*b*(b + 2)
Suppose 0*h - 5*h + 25 = 0. Suppose 3 = 5*j + 5*q - 2, 4*j - h*q + 5 = 0. Find f such that 2/3*f**5 - 4/3*f**3 + 0*f**2 + j*f**4 + 2/3*f + 0 = 0.
-1, 0, 1
Solve 0*h + 3/2*h**4 + 3/2*h**2 + 0 + 3*h**3 = 0.
-1, 0
Let t(a) be the third derivative of -1/9*a**3 - 4/315*a**7 - 3*a**2 + 1/18*a**5 + 0 + 0*a - 1/12*a**4 + 1/60*a**6. Find k such that t(k) = 0.
-1, -1/4, 1
Factor 3*r**2 + 8*r - 5*r**2 - 2*r - 4*r.
-2*r*(r - 1)
Suppose 5*y - 40 = -5*v - 0*v, y + 3*v - 18 = 0. Let o(c) be the second derivative of -2*c - 1/54*c**4 + 2/27*c**y + 0*c**2 + 0. Factor o(s).
-2*s*(s - 2)/9
Let t(b) = -b + 10. Let j be t(10). Determine n so that 9*n**4 + 4*n**3 - 7*n**4 + j + 0 = 0.
-2, 0
Let u = 28 + -25. Let c be -3 + (u - -5 - 3). Solve -22/5*o + 112/5*o**3 + 96/5*o**4 - 2*o**c + 4/5 = 0 for o.
-1, -2/3, 1/4
Let o(x) be the second derivative of -x**4/14 + x**3/14 - 4*x. Factor o(k).
-3*k*(2*k - 1)/7
Solve -9/8*a**5 + 3/2*a**2 + 0 - 3/2*a**4 + 3/8*a + 3/4*a**3 = 0.
-1, -1/3, 0, 1
Factor -1/2*w**3 - 3/2 - 1/2*w**2 + 5/2*w.
-(w - 1)**2*(w + 3)/2
Let w(k) be the third derivative of -k**6/120 + k**5/60 + k**4/24 - k**3/6 + 2*k**2. Factor w(s).
-(s - 1)**2*(s + 1)
Suppose 2*i + 4 - 8 = -4*v, 5*v + 2*i = 5. Let r = 5 - v. Let -4 + 0*k**2 + r + k**2 - 1 = 0. Calculate k.
-1, 1
Let q(z) be the first derivative of 5*z**4/4 + 40*z**3/3 + 65*z**2/2 + 30*z + 3. Let q(g) = 0. Calculate g.
-6, -1
Let y be ((-3)/(-18))/((-80)/(-15) + -5). Solve -1/2*r**2 - r - y = 0.
-1
Let c(b) be the third derivative of -b**11/166320 + b**9/30240 - b**5/20 - 6*b**2. Let p(r) be the third derivative of c(r). Find d, given that p(d) = 0.
-1, 0, 1
Let v(i) be the first derivative of -1/14*i**4 + 1/7*i**2 - 2/7*i + 6 + 2/21*i**3. Factor v(g).
-2*(g - 1)**2*(g + 1)/7
Let a(i) be the third derivative of i**6/1260 + i**5/420 - i**3/3 - i**2. Let g(k) be the first derivative of a(k). Factor g(v).
2*v*(v + 1)/7
Let i be ((-3)/9)/(7/(-18)). Let -i*c**3 - 8/7 + 8/7*c + 10/7*c**2 = 0. Calculate c.
-1, 2/3, 2
Let s(q) be the first derivative of 4*q**3/21 + q**2/7 - 2*q/7 + 6. Solve s(d) = 0 for d.
-1, 1/2
Let i be 442/(-65) + 4*2. Suppose i*h + 2*h**2 - 4/5 = 0. What is h?
-1, 2/5
Let v(y) = -36*y**2 - 66*y. Let j(u) = 7*u**2 + 13*u. Suppose 0 = 4*i + 2*d - 76, -52 = -3*i + 5*d + 31. Let o(h) = i*j(h) + 4*v(h). Solve o(s) = 0 for s.
-3, 0
Suppose 4*i + 5 = 17. Suppose -i*j - j + 16 = 0. Solve j*l**2 + 3 + l - 3 - 3*l**2 = 0 for l.
-1, 0
Factor -2*c**2 - c**2 + 14*c + 30*c + 4*c - 192.
-3*(c - 8)**2
Let j = -1/25 + 27/50. Find z, given that 1/2*z**5 - 5*z**2 + 5*z**3 - 5/2*z**4 - j + 5/2*z = 0.
1
Let u be (-1)/6 - (20/15 - 2). What is h in -1/6*h**2 + 1/6*h + 1/6*h**4 + 0 - u*h**3 + 1/3*h**5 = 0?
-1, 0, 1/2, 1
Let k(i) be the first derivative of 0*i**2 - 7/12*i**4 - 2/9*i**3 + 4 + 0*i. Find l such that k(l) = 0.
-2/7, 0
Let h be (-4)/(-16) - ((-140)/48)/7. Factor -2/3*a**3 - 2/3 + h*a**2 + 2/3*a.
-2*(a - 1)**2*(a + 1)/3
Let m(i) be the second derivative of -i**6/60 - i**5/10 - i**4/4 - i**3/3 - i**2/4 - 9*i. Find v such that m(v) = 0.
-1
Let k(t) be the first derivative of -3*t**4/4 + 10*t**3 - 48*t**2 + 96*t - 33. Factor k(r).
-3*(r - 4)**2*(r - 2)
Suppose -w**3 - 2*w + w**2 - 4*w**2 + 2*w**2 - 2*w**2 = 0. What is w?
-2, -1, 0
Let m(j) = -3*j**5 - 14*j**4 + 8*j**3 + 14*j**2 + 11*j + 8. Let c(z) = z**5 + 5*z**4 - 3*z**3 - 5*z**2 - 4*z - 3. Let l(n) = -8*c(n) - 3*m(n). Solve l(p) = 0.
-1, 0, 1
Let m(o) be the second derivative of -o**4/102 + 2*o**3/51 - o**2/17 - 2*o. Let m(c) = 0. What is c?
1
Let u(o) be the first derivative of -o**4/20 + o**3/15 + o**2/2 + 3*o/5 - 6. Factor u(n).
-(n - 3)*(n + 1)**2/5
Suppose -12 = -2*h - 4*p, h + 2*p = -3*p + 15. Let x be h/(-2 - 1 - -4). Find m, given that 0 - 2*m**3 - 3*m**2 - m + x = 0.
-1, -1/2, 0
Let k(l) be the second derivative of 4*l + 0*l**2 + 0 + 1/5*l**5 - 1/15*l**6 + 0*l**3 - 1/6*l**4. Suppose k(d) = 0. Calculate d.
0, 1
Let d = 16/3 + -56/15. Solve 8/5 + 2/5*k**2 - d*k = 0 for k.
2
Let z(q) be the third derivative of -q**9/1008 - q**8/280 - q**7/280 - 5*q**3/6 + 6*q**2. Let k(m) be the first derivative of z(m). What is v in k(v) = 0?
-1, 0
Let c be (3 + -4)*(-6)/25. Let w = c - -4/25. Factor -w*m**2 + 0*m**4 + 0 + 3/5*m**3 - 1/5*m**5 + 0*m.
-m**2*(m - 1)**2*(m + 2)/5
Let f be (2 - 0) + (-8 - -9). Factor -12*d**2 + 13*d**2 + f*d + 5*d**2 - 3*d**3 - 21*d**3.
-3*d*(2*d - 1)*(4*d + 1)
Factor 4/3 + 10/3*j**3 - 4/3*j**2 - 10/3*j.
2*(j - 1)*(j + 1)*(5*j - 2)/3
Let u be -1*0*(-3 - -4). Let g(r) be the second derivative of 2*r - 1/18*r**4 + 0 + u*r**3 + 1/45*r**6 + 0*r**5 + 0*r**2. Suppose g(n) = 0. Calculate n.
-1, 0, 1
Let x be (-1)/(-35)*(-91)/(-78). Let b(o) be the second derivative of 0*o**2 + 0*o**3 - 2*o + x*o**4 + 0. Determine s, given that b(s) = 0.
0
Let h(x) be the first derivative of -1/9*x**4 - 1/2*x**2 + 1/90*x**5 + 0*x + 2 + 4/9*x**3. Let j(a) be the second derivative of h(a). Factor j(q).
2*(q - 2)**2/3
Let k(w) be the first derivative of 2*w**3 - 6/5*w**5 + 0*w + 9 - 1/2*w**4 + w**2. Factor k(s).
-2*s*(s - 1)*(s + 1)*(3*s + 1)
Factor 1/4*o**4 + 0*o - 3/4*o**3 + 0 + 1/2*o**2.
o**2*(o - 2)*(o - 1)/4
Let a(k) = -13*k**3 + 4*k**2 + 9*k. Let r(d) = 7*d**3 - 2*d**2 - 5*d. Let n(m) = -6*a(m) - 11*r(m). Let i be n(2). Factor 5*f - 3*f - f**3 - i + f.
-(f - 1)**2*(f + 2)
Let o(y) be the second derivative of -1/60*y**4 + 3*y + 2/25*y**5 - 1/15*y**3 - 1/30*y**6 + 0*y**2 + 0. Let o(g) = 0. What is g?
-2/5, 0, 1
Let y(x) be the second derivative of -4/7*x**3 - 1/70*x**5 + 0 + 1/35*x**6 - 4/7*x**2 - 11/42*x**4 + 4*x + 1/147*x**7. Factor y(g).
2*(g - 2)*(g + 1)**3*(g + 2)/7
Suppose 3*c - 3 = 2*p, -c - 3 = -4*p + 2*p. Factor -p*l**2 + 3*l - 4*l + 4*l.
-3*l*(l - 1)
Let u(j) be the first derivative of -j**6/6 - j**5/5 + j**4/2 - 3. Factor u(a).
-a**3*(a - 1)*(a + 2)
Suppose 4*z - 4 = 4. Factor -6 + 0*h**2 - 3*h**2 + 9*h - 2*h**2 + z*h**2.
-3*(h - 2)*(h - 1)
Let z be (-180)/(-32)*8/20. Let -3/4*i**2 + z*i - 3/2 = 0. Calculate i.
1, 2
Let j(g) = -g**3 + 4*g**2 - 2*g. Let v be j(3). Factor -17*n**2 - 5*n**2 - 11*n**v + 4 + 37*n**3 - 10*n**4 + 4*n**2 - 2*n.
-2*(n - 1)**3*(5*n + 2)
Factor -2/5*x**3 + 2*x - 6/5*x**2 - 4/5 + 2/5*x**4.
2*(x - 1)**3*(x + 2)/5
Let o(b) be the second derivative of -b**6/10 + 3*b**5/4 - 2*b**4 + 2*b**3 + b. Determine f so that o(f) = 0.
0, 1, 2
Let j = -86/5 + 784/45. Let n be (-57)/(-76)*1*4 - 3. Solve n - 2/3*x**2 - 2/9*x - j*x**4 - 2/3*x**3 = 0 for x.
-1, 0
Let n(h) be the third derivative of -h**5/120 + h**4/48 + h**3/6 - 10*h**2. Find b such that n(b) = 0.
-1, 2
Let g(j) = -j**5 - 8*j**4 - 2*j**3 + 6*j**2 + 3*j + 2. Let b(d) = 12*d**5 + 105