 + 2)
Let c be (2 + 14)*(-3)/6. Let q = c + 8. Determine n, given that q - 2/5*n + 1/5*n**2 = 0.
0, 2
Let o(g) be the second derivative of 11*g**6/30 - 9*g**5/20 - 13*g**4/12 + 3*g**3/2 + g**2 + 3*g + 4. Determine y so that o(y) = 0.
-1, -2/11, 1
What is r in 47*r**4 - 26*r**4 - 5*r**3 - 26*r**4 = 0?
-1, 0
Determine j so that 0*j + 4/3*j**3 + 2/3*j**4 + 0*j**2 + 0 = 0.
-2, 0
Let 108*g**4 - 5*g**2 - 93*g**4 + 7*g**5 + 3*g**5 = 0. Calculate g.
-1, 0, 1/2
Suppose 6*s = 9*s. Let m(k) be the third derivative of -1/150*k**5 + 0*k**3 - 1/300*k**6 + s + 0*k + 0*k**4 + k**2. Factor m(c).
-2*c**2*(c + 1)/5
Let s(b) be the first derivative of -2*b**3/3 + 2*b**2 - 2*b - 6. Factor s(g).
-2*(g - 1)**2
Let t be (-1 - 1)*(-2)/2. Suppose -t = o - 4. Factor -r**4 - 2*r**3 + o*r**4 - 3*r**4.
-2*r**3*(r + 1)
Let h(u) be the first derivative of u**4/10 - 2*u**3/15 + 8. Factor h(m).
2*m**2*(m - 1)/5
What is n in -7*n**2 - 5*n - 6*n**2 + 11 + 8*n**2 - 1 = 0?
-2, 1
Let f(p) be the third derivative of p**6/140 - 3*p**5/140 + p**3/14 - 9*p**2. Factor f(w).
3*(w - 1)**2*(2*w + 1)/7
Let -6/5*g**5 + 2*g**3 + 8/5*g**4 - 4/5*g**2 + 0*g + 0 = 0. Calculate g.
-1, 0, 1/3, 2
Let x be (-1)/(6/(54/(-15))). Let -x*a + 0 - 3/5*a**2 = 0. What is a?
-1, 0
Let j(r) be the second derivative of -r**7/21 - r**6/3 + 7*r**5/10 + 5*r**4/6 - 2*r**3 + 5*r. Suppose j(k) = 0. What is k?
-6, -1, 0, 1
Suppose 2*y + 4*y = 0. Let p = -5/13 + 38/65. Determine l, given that 0 + 0*l**3 + y*l - p*l**2 + 1/5*l**4 = 0.
-1, 0, 1
Factor -6*z + 10*z - 4*z - z + 2*z**2 - 2*z**4 + z**5.
z*(z - 1)**3*(z + 1)
Suppose 0 = 202*d - 201*d - 4. Determine p, given that -2/3*p**d - 2/3*p**2 + 0 + 0*p - 4/3*p**3 = 0.
-1, 0
Let s be 17/34*2/3. Factor -1/3*q + 0 - s*q**2.
-q*(q + 1)/3
Determine p so that -p + 1/4*p**4 - p**3 + 3/2*p**2 + 1/4 = 0.
1
Suppose 0 - 2/9*u**4 + 0*u - 8/9*u**3 - 8/9*u**2 = 0. What is u?
-2, 0
Suppose 0 = -0*b + b - 14. Let a(q) = -4 - 5*q**2 + b*q**3 + 2*q**2 - 3*q**2. Let w(c) = -14*c**3 + 7*c**2 + c + 3. Let j(h) = 3*a(h) + 4*w(h). Factor j(p).
-2*p*(p - 1)*(7*p + 2)
Let j(r) be the second derivative of -r**6/10 - 3*r**5/5 - 5*r**4/4 - r**3 + 5*r. Let j(c) = 0. What is c?
-2, -1, 0
Let u(v) be the second derivative of -v**7/105 + v**6/15 - v**5/6 + v**4/6 + v**2 + 5*v. Let g(p) be the first derivative of u(p). Let g(j) = 0. What is j?
0, 1, 2
Let s be 2*(-1)/1 + 8. Let k be ((-2)/s)/(1/(-6)). Factor 0*l**2 - l**2 - 3*l**k - 18*l**3.
-2*l**2*(9*l + 2)
Let j(u) be the first derivative of 0*u - 1 + 0*u**3 + 0*u**4 - 1/25*u**5 + 0*u**2. Solve j(a) = 0.
0
Factor 16/17*n**4 - 8/17*n**3 - 6/17*n**5 + 0*n**2 + 0 + 0*n.
-2*n**3*(n - 2)*(3*n - 2)/17
Let r(h) be the second derivative of -h**9/13608 + h**7/1890 - h**5/540 - h**3/3 - 7*h. Let q(m) be the second derivative of r(m). Factor q(y).
-2*y*(y - 1)**2*(y + 1)**2/9
Let o = 127/220 + 1/44. Let -12/5 - 12/5*a - o*a**2 = 0. Calculate a.
-2
Factor 808*w**2 - 2 + 6*w + 7 - 807*w**2.
(w + 1)*(w + 5)
Let q(a) be the second derivative of 3/14*a**4 + 1/7*a**2 + 3*a - 2/7*a**3 + 0. Factor q(h).
2*(3*h - 1)**2/7
Let w(a) be the first derivative of -a**7/84 - a**6/30 - a**5/40 - 8*a - 6. Let x(u) be the first derivative of w(u). Factor x(n).
-n**3*(n + 1)**2/2
Suppose 4*c = 19 + 9. Factor -c - 39*n**2 - 3*n**4 - 12*n**3 - 36*n + 0*n**4 - 6*n**3 - 5.
-3*(n + 1)**2*(n + 2)**2
Let y(h) be the second derivative of -h**4/78 + 8*h**3/13 - 144*h**2/13 - 37*h. Factor y(a).
-2*(a - 12)**2/13
Let x(p) = -p - 4. Let v be x(-6). Suppose 1 + v*d**2 + 0 - 1 = 0. Calculate d.
0
Let y(r) be the first derivative of -3*r**4/4 + 2*r**3 - 4. Factor y(o).
-3*o**2*(o - 2)
Let a be (10/8)/((-3)/(-12)). Factor 3*g**3 + a*g + 6*g**2 - g + 2*g - 3*g.
3*g*(g + 1)**2
Let s(f) = 7*f - 19. Let d be s(3). Let k(r) be the first derivative of 2/3*r**3 - 4*r + r**d - 3. Let k(h) = 0. What is h?
-2, 1
Let b(n) = 24*n**2 - 13*n + 5. Let q(v) = -60*v**2 + 32*v - 12. Let m = 16 + -4. Let l(t) = m*b(t) + 5*q(t). Factor l(a).
-4*a*(3*a - 1)
Let m = -422 - -29964/71. Let c = 278/213 + m. Find a such that 4/3*a**2 - 2/3*a**5 - c*a**4 + 2/3*a + 0 + 0*a**3 = 0.
-1, 0, 1
Suppose 5*s - 15 - 10 = 0. Suppose -2/3*z**4 + 0 + 0*z**3 - 2/3*z**s + 0*z**2 + 0*z = 0. What is z?
-1, 0
Let x(v) = -357*v**4 - 132*v**3 - 18*v**2 - 6*v + 6. Let g(y) = -1072*y**4 - 396*y**3 - 53*y**2 - 17*y + 17. Let i(r) = -6*g(r) + 17*x(r). Factor i(w).
3*w**2*(11*w + 2)**2
Let j(l) be the first derivative of -l**6/36 + l**5/30 + l**4/24 - l**3/18 - 1. Solve j(w) = 0 for w.
-1, 0, 1
Let a be 4/22 + 2/(-11). Let z be (6/3)/(-6)*a. Let -2/7*c + 0 + 2/7*c**3 + z*c**2 = 0. What is c?
-1, 0, 1
Let o(d) be the second derivative of 7*d**6/360 - d**5/24 - d**4/12 + d**3/6 + 3*d. Let f(p) be the second derivative of o(p). Suppose f(q) = 0. What is q?
-2/7, 1
Suppose -w - 4*k = -26, -4*k = 2*w + 24 - 60. Let 9*h**3 - 1 + 2*h - h**2 - w*h**3 + 1 = 0. What is h?
-2, 0, 1
Let u(q) be the first derivative of -q - 1/18*q**4 - 1/9*q**3 - 3 + 2/3*q**2. Let j(k) be the first derivative of u(k). Determine o, given that j(o) = 0.
-2, 1
Let f(l) be the second derivative of l**7/14 - 2*l**6/15 - l**5/5 + l**4/2 + l**3/6 - l**2 + 4*l. Solve f(i) = 0 for i.
-1, -2/3, 1
Let z be 28/10 - 4/5. Let u(r) be the first derivative of 0*r + 1 + z*r**2 + 2/3*r**3. Determine y so that u(y) = 0.
-2, 0
Let a be 175/(-300) - (-5)/4. Factor 1/3*m**4 + 0 - a*m**2 + 0*m + 1/3*m**3.
m**2*(m - 1)*(m + 2)/3
Let a(j) = j**2 - 1. Let y(l) = 0*l + l**2 + 2*l + 5 - 4*l**2. Let c(s) = 6*a(s) + y(s). Factor c(u).
(u + 1)*(3*u - 1)
Let 4*b + 2/7*b**2 + 14 = 0. Calculate b.
-7
Let q be (14/(-49))/((-18)/14). Let m(f) = -f**3 + 7*f**2 - 7*f + 9. Let r be m(6). Determine v, given that -2/9*v**r + 2/9*v - q*v**4 + 2/9*v**2 + 0 = 0.
-1, 0, 1
Let m(p) be the second derivative of -4*p**7/21 - 2*p**6/15 + p**5/5 + 2*p - 11. Solve m(i) = 0 for i.
-1, 0, 1/2
Let -3*u**2 + 0*u - 3/2*u**3 + 12*u**4 + 0 - 15/2*u**5 = 0. Calculate u.
-2/5, 0, 1
Let s = 7 + -3. Let o(v) be the second derivative of 7/24*v**s - 3*v - 3/20*v**5 + 0*v**2 + 1/6*v**3 + 0 - 10/21*v**7 - 11/15*v**6. Factor o(g).
-g*(2*g + 1)**3*(5*g - 2)/2
Let u(o) = -o**3 + 5*o**2 + 2*o + 2. Suppose -4 = d - 3*d. Let a(n) = n**3 - 11*n**2 - 5*n - 5. Let h(w) = d*a(w) + 5*u(w). Factor h(p).
-3*p**2*(p - 1)
Let j be ((-3)/6 - -1)*6. Suppose 3 = -2*q + 7. What is o in 4*o**4 - 4*o**j - o**q - 2*o**5 + o**4 + 2*o**2 = 0?
0, 1/2, 1
Let b(t) be the first derivative of -2*t**3/3 - 4*t**2 - 8*t - 15. Find h, given that b(h) = 0.
-2
Factor -4*k**3 - k**2 - k + 9*k**3 + k**4 - 4*k**3.
k*(k - 1)*(k + 1)**2
Suppose -2 - 13 = -5*i. Find d such that 6*d**2 - i*d - 3*d**2 + 0*d**2 = 0.
0, 1
Let y = 20 - 34. Let o = y + 8. Let k(u) = -16*u**3 - 10*u**2 + 16*u - 2. Let p(l) = -l**3 - l**2 + l - 1. Let j(n) = o*p(n) + k(n). Find r such that j(r) = 0.
-1, -2/5, 1
Let q(j) be the second derivative of -j**4/96 + 5*j**3/48 - 20*j. Factor q(c).
-c*(c - 5)/8
Let d(i) be the third derivative of 5*i**2 - 1/40*i**5 - 1/16*i**4 + 0*i + 1/140*i**7 + 1/80*i**6 + 0 + 0*i**3. Factor d(b).
3*b*(b - 1)*(b + 1)**2/2
Suppose 3*g = -0*g + 4*f - 3, 5*g = -f + 18. Suppose -4*p + g*p = -2. Solve -6*u**2 - 3*u - 2*u**2 + 11*u**p = 0.
0, 1
Let q(x) be the first derivative of -x**4/26 + 3*x**2/13 - 4*x/13 + 7. Factor q(b).
-2*(b - 1)**2*(b + 2)/13
Let v(i) be the third derivative of -i**8/1176 + i**7/147 - i**6/60 - i**5/210 + 2*i**4/21 - 4*i**3/21 - 3*i**2. What is m in v(m) = 0?
-1, 1, 2
Let y(b) be the second derivative of 3*b**5/100 - 3*b**4/10 + 6*b**3/5 - 12*b**2/5 - 6*b. Factor y(h).
3*(h - 2)**3/5
Suppose -3*i + 2*x = -4 - 0, 0 = -5*i - 5*x + 15. Suppose i*d - 3*d = -9. Solve 5*a - 11*a**4 + 9*a**3 + d*a**2 + 1 + 13*a**4 - 2*a**3 = 0 for a.
-1, -1/2
Let c(i) be the first derivative of 3/8*i**4 + 3/4*i - 1/2*i**3 - 3 + 3/20*i**5 - 3/8*i**2 - 1/8*i**6. Factor c(q).
-3*(q - 1)**3*(q + 1)**2/4
Let x = -291/2 - -150. Factor x*y - 3 - 3/2*y**2.
-3*(y - 2)*(y - 1)/2
Let y be (1/(-3))/(1 - 0) + 3. What is m in -y + 1/3*m**4 - 5/3*m**3 + 2*m**2 + 4/3*m = 0?
-1, 2
Let z(y) = 30*y**2 - 18*y - 12. Let v(o) = o + 8 + 9*o - 23*o**2 + 2*o + 3*o**2. Let g(f) = -8*v(f) - 5*z(f). Let g(t) = 0. Calculate t.
-2/5, 1
Let q(o) be the first derivative of 2/5*o**5 + 0*o - 3/2*o**4 - o**2 + 1 