r) = 0.
-1, 0, 3
Let i = 5 - 2. Let 28*x - 16*x**3 + 8 + 2*x**2 - 12*x**i - 20*x**4 + 10*x**2 = 0. What is x?
-1, -2/5, 1
Let d = 174 - 1216/7. Factor -2/7*i**2 + d + 2/7*i - 2/7*i**3.
-2*(i - 1)*(i + 1)**2/7
Let h be (-14)/(-77) - (-4)/(-22). Suppose -2*t + 2*m + 10 = h, 0 = m - 3*m - 4. Factor 0 - 2/7*r**t - 2/7*r**5 + 0*r**2 + 0*r - 4/7*r**4.
-2*r**3*(r + 1)**2/7
Find p such that -p + 1/7*p**3 - 6/7*p**2 + 0 = 0.
-1, 0, 7
Factor 1/6*x - 1/6*x**4 + 1/6*x**2 + 0 - 1/6*x**3.
-x*(x - 1)*(x + 1)**2/6
Let h be 4 + (-3)/(9/6). Factor 1 + 4*l**2 - 6 + 1 + 3*l + h*l**3 - 5*l.
2*(l - 1)*(l + 1)*(l + 2)
Let d(y) be the second derivative of 11*y**7/105 - 3*y**6/25 - y**5/25 + 4*y - 3. Factor d(m).
2*m**3*(m - 1)*(11*m + 2)/5
Suppose -4*d - 13*d = -3*d. Factor 3/2*y - 15/4*y**2 + d.
-3*y*(5*y - 2)/4
Let y be (120/(-21) - -2) + 4. Suppose f = -f + 2*n + 2, 4*f + n = -1. Solve f*o**2 + y*o**3 - 2/7*o + 0 = 0 for o.
-1, 0, 1
Let l(j) be the third derivative of -j**7/420 + 7*j**6/960 + j**5/240 - 13*j**2. Factor l(s).
-s**2*(s - 2)*(4*s + 1)/8
Let b(f) be the third derivative of 1/60*f**5 - 1/3*f**3 + 2*f**2 + 0*f - 1/24*f**4 + 0. Factor b(w).
(w - 2)*(w + 1)
Let l(q) = 7*q**5 + 3*q**3 - 5*q**2 + 5. Let g(u) = -6*u**5 - 2*u**3 + 4*u**2 - 4. Let r(v) = -5*g(v) - 4*l(v). Factor r(h).
2*h**3*(h - 1)*(h + 1)
Factor -14/3*b**4 + 0 + 0*b - 8/3*b**5 - 4/3*b**3 + 2/3*b**2.
-2*b**2*(b + 1)**2*(4*b - 1)/3
Let t(r) = -2*r**3 + 18*r**2 - 24*r. Let v(h) = -h**3 + 17*h**2 - 24*h. Let y(l) = -3*t(l) + 2*v(l). Factor y(z).
4*z*(z - 3)*(z - 2)
Let n(q) = 2*q**4 - 5*q**3 + q**2 + 2. Let g(x) = -x**4 + 3*x**3 - x**2 - 1. Let c be 2/(1*3/(-9)). Let i(p) = c*n(p) - 10*g(p). Solve i(z) = 0.
-1, 1
Let s(p) = -28*p - 20. Let b(v) = v**2. Let r(g) = 3*b(g) + s(g). Factor r(l).
(l - 10)*(3*l + 2)
Let m(g) be the second derivative of -3*g**6/40 - 3*g**5/10 - g**4/2 - g**3/2 + 5*g. Let j(d) be the second derivative of m(d). Factor j(x).
-3*(3*x + 2)**2
Solve -3/4*o**3 - 6 - 9/2*o**2 - 9*o = 0.
-2
Let q(x) be the third derivative of -x**5/20 - 3*x**4/4 + 7*x**3/2 - 29*x**2. Factor q(n).
-3*(n - 1)*(n + 7)
Let b = 2743/5 + -545. Factor 2/5*o**2 + b + 12/5*o.
2*(o + 3)**2/5
Let n(c) = c**2 + 4*c - 2. Let z be n(-5). Factor -30*o**4 - 18*o**3 + 10*o - 6*o + 25*o**5 + 12*o**2 + 7*o**z.
o*(o - 1)**2*(5*o + 2)**2
Let k(v) be the third derivative of v**8/448 - v**6/80 + v**4/32 - 18*v**2. Factor k(z).
3*z*(z - 1)**2*(z + 1)**2/4
Let d(w) be the second derivative of -w**4/3 - 2*w**3 - 4*w**2 + 3*w. Factor d(y).
-4*(y + 1)*(y + 2)
Let d(r) = -r**5 + r**4 - r**3 + r**2 - r. Let l(q) = 20*q**5 - 4*q**4 + 28*q**3 - 12*q**2 + 16*q. Let s(g) = 16*d(g) + l(g). Factor s(z).
4*z**2*(z + 1)**3
Let w(g) = -4*g**2 - 14*g. Let c(v) = -16*v**2 - 55*v. Let q(i) = 2*c(i) - 9*w(i). Let q(o) = 0. What is o?
-4, 0
Let w(c) be the first derivative of -8*c**3/3 + 2*c**2 + 4*c - 4. Factor w(r).
-4*(r - 1)*(2*r + 1)
Let h(p) be the third derivative of p**6/195 + 11*p**5/390 + 5*p**4/156 - 2*p**3/39 + 11*p**2. Find b such that h(b) = 0.
-2, -1, 1/4
Suppose y = -4*v - 2*y + 19, 5*v - 16 = 4*y. Let t be v/(3 - 2 - -1). Let 2/5*u**3 + 2/5 - 2/5*u - 2/5*u**t = 0. Calculate u.
-1, 1
Let o = 16 - 8. Let -o*h**2 + 2*h**3 + 1 - 2*h - 1 + 12*h - 4 = 0. Calculate h.
1, 2
What is w in 0 + 0*w + 75/4*w**4 - 5/4*w**5 + 245/4*w**2 - 315/4*w**3 = 0?
0, 1, 7
Let i = -1 - 5. Let n be 2/i + 12/36. Let n*m - 1/2*m**2 + 0 - 1/2*m**3 = 0. Calculate m.
-1, 0
Let j(c) be the second derivative of -c**4/36 + 5*c**3/18 - c**2 + 13*c. What is u in j(u) = 0?
2, 3
Factor 4/7 + 0*v - 1/7*v**2.
-(v - 2)*(v + 2)/7
Let 0 - 10/19*b**4 + 10/19*b**2 + 6/19*b - 6/19*b**3 = 0. Calculate b.
-1, -3/5, 0, 1
Let r = -3 + 3. Factor m**4 + 2*m**5 + 3*m**4 - 5*m**2 + m**2 + r*m**5 - 2*m.
2*m*(m - 1)*(m + 1)**3
Let c be 4 + 18/(-30)*50/8. Let a(x) be the first derivative of 1/8*x**4 + 0*x**3 + 4 - c*x**2 + 0*x. Solve a(i) = 0.
-1, 0, 1
Let c(h) be the first derivative of -h**6/24 - h**5/20 + h**4/16 + h**3/12 - 7. Factor c(m).
-m**2*(m - 1)*(m + 1)**2/4
Suppose 15/8*t**2 + 3/8*t**3 - 3/8*t - 15/8 = 0. What is t?
-5, -1, 1
Suppose 0 = 9*k - 0 - 0. Let r be 4/(-6) - 14/(-12). Solve r*g**3 + k + 0*g**2 + 0*g = 0.
0
Let u(j) be the second derivative of j**5/150 - j**3/15 - 2*j**2/15 - 4*j. Find r, given that u(r) = 0.
-1, 2
Factor 2*q - 1/2*q**4 + 3*q**2 - 1/2*q**3 - 4.
-(q - 2)*(q - 1)*(q + 2)**2/2
Let k be (-20)/48*(-1)/5. Let a(d) be the second derivative of 0*d**2 + 0*d**3 - k*d**4 + d + 0. Find f, given that a(f) = 0.
0
Let r(p) be the first derivative of 3 + 18/5*p**5 + 112/3*p**3 + 48*p**2 + 16*p**4 + 1/3*p**6 + 32*p. Factor r(d).
2*(d + 1)*(d + 2)**4
Let y(a) be the third derivative of -a**5/30 + a**4/4 - 2*a**3/3 + 28*a**2 + 2. Factor y(p).
-2*(p - 2)*(p - 1)
Factor 0 - 2/7*i**5 - 4/7*i**2 + 2/7*i + 0*i**3 + 4/7*i**4.
-2*i*(i - 1)**3*(i + 1)/7
Let g(c) be the first derivative of 0*c**3 + 4/75*c**5 + 0*c**2 + 0*c + 1/45*c**6 + 1/30*c**4 - 3. Find i, given that g(i) = 0.
-1, 0
Let x(b) be the third derivative of 0 + 0*b**4 + 0*b - 1/30*b**6 - 1/36*b**8 + 2/45*b**5 + 0*b**3 - 8/105*b**7 - 6*b**2. Factor x(r).
-4*r**2*(r + 1)**2*(7*r - 2)/3
Let h be 12/54 - (-16)/9. Determine g so that 0*g + 2 + 0*g - g - g**h = 0.
-2, 1
Determine g so that 812*g**2 - g**3 - g - 808*g**2 - 3*g = 0.
0, 2
Let n = -556/5397 + 2/257. Let f = n - -25/42. Factor f + 7/4*s + 5/4*s**2.
(s + 1)*(5*s + 2)/4
Let t(y) = 30*y**2 - 175*y - 230. Let h(o) = -5*o**2 + 29*o + 38. Let l(s) = -25*h(s) - 4*t(s). Factor l(v).
5*(v - 6)*(v + 1)
Suppose 3*n + 3 = -2*w - 2, -5*n = 5*w + 10. Let h be 1/(n/4) - -6. Factor 8/3*k + 8/9 - 10/3*k**h + 8/9*k**3.
2*(k - 2)**2*(4*k + 1)/9
Let t(j) be the third derivative of 1/660*j**6 + 0 + 0*j + 4*j**2 + 0*j**3 - 1/66*j**4 + 1/330*j**5. What is w in t(w) = 0?
-2, 0, 1
Let g = -27 + 47. Let u be (-6)/g*-14 - 4. Factor 6/5*z**2 - 2/5 - 4/5*z**4 + 3/5*z**5 + u*z - 4/5*z**3.
(z - 1)**3*(z + 1)*(3*z + 2)/5
Determine a, given that 324*a - 54 + 51*a**3 - 594 + 3*a**4 + 73*a**2 + 197*a**2 = 0.
-6, 1
Let h be 40/(-6)*3/(-2). Let x(m) = -m**3 + 11*m**2 - 11*m + 15. Let b be x(h). Factor 2*v**3 + v**5 - 4*v**3 + v**b.
2*v**3*(v - 1)*(v + 1)
Suppose -2*w = 2*w - 56. Suppose 0*c - w = -5*c + r, 8 = -2*c - 3*r. What is u in 6*u**4 + 14/5*u + 4/5*u**3 - 28/5*u**c - 2/5 - 18/5*u**5 = 0?
-1, 1/3, 1
Let t = 3369/13 - 259. Suppose 8/13*z**2 + 8/13*z + 0 - 6/13*z**3 - 8/13*z**4 - t*z**5 = 0. Calculate z.
-2, -1, 0, 1
Let n = -17 - -13. Let y be (-10)/(-4) - 6/n. Let 2*m**3 - 2*m**2 + 0 + 2/3*m - 2/3*m**y = 0. What is m?
0, 1
Let o be 8/(-16) - 1782/20. Let j = o - -90. Factor -j*k**4 + 0 + 6/5*k**2 - 4/5*k + 0*k**3.
-2*k*(k - 1)**2*(k + 2)/5
Suppose -4*y - 24 = -m, 0 = 3*m - 0*m - 3*y - 45. Determine v so that -m*v**4 + 5*v**3 + 18*v**5 + v**2 + 6*v**4 - 15*v**3 - 3*v**2 = 0.
-1/3, 0, 1
Suppose 2*c = 2, 2*s - s + 4*c = 9. Factor 2*p + 0*p + 0*p**5 - p + p**s - 2*p**3.
p*(p - 1)**2*(p + 1)**2
Suppose -7*u + 2*u + 70 = 0. Factor 18*t**3 + 2*t + u*t**4 + 4*t**4 - 4*t**4 + 10*t**2 + 4*t**5.
2*t*(t + 1)**3*(2*t + 1)
Suppose -5*f = 5*z - 20, -5*f + 0 - 4 = -3*z. Factor 5*t**2 - 8*t + 12*t**4 + 13*t**3 - 45*t**z + 23*t**2.
4*t*(t - 1)**2*(3*t - 2)
Let o = 26 + -21. Let t(u) be the second derivative of 2*u + 0 - 1/8*u**4 + 0*u**2 + 1/6*u**3 - 9/40*u**o. Factor t(l).
-l*(3*l - 1)*(3*l + 2)/2
Let b be (-2)/(-10)*(32 - -5). Let h = b - 7. Factor 0 + 2/5*a**2 + 0*a - h*a**3.
-2*a**2*(a - 1)/5
Let d = -18 + 21. Let o(f) be the first derivative of f + 2*f**3 - 2*f**2 - f**4 + 1/5*f**5 - d. Find i such that o(i) = 0.
1
Let s(a) be the third derivative of a**5/15 - 5*a**4/6 - 18*a**2. Suppose s(r) = 0. What is r?
0, 5
Let c(l) be the first derivative of -2*l**3/21 - 9*l**2/7 + 20*l/7 - 37. Factor c(b).
-2*(b - 1)*(b + 10)/7
Let j be 24/15*(-25)/10. Let n be (-1)/j*80/70. Factor 16/7*h - 32/7*h**2 - n.
-2*(4*h - 1)**2/7
Suppose 4*b - 8 - 1/2*b**2 = 0. Calculate b.
4
Suppose 4/13*p**4 - 6/13*p**3 - 2/13 - 2/13*p**2 + 6/13*p = 0. Calculate p.
-1, 1/2, 1
Suppose 6 - 2*s + 1/6*s**2 = 0. Calculate s.
6
Let z(c) = c**2 + 2*c + 4. Let u(n) = -1. Let i(m) = -12*u(m) - 3*z(m). Determine v so that i(v) = 0.
-2, 0
Let t(b) be the third derivative of -2*b**2 - 1/120*b**5 + 1/24*b**4 + 0 + 0*b + 1/4*b**3