3 - 7 + 0*z**2. Solve w(v) = 0 for v.
-1, 0, 2
Let p(b) be the second derivative of -b**5/90 + b**4/27 + b**3/27 - 2*b**2/9 + 3*b. What is q in p(q) = 0?
-1, 1, 2
Let n = 185/429 + -14/143. Factor 2/3*v + 1/3*v**2 + n.
(v + 1)**2/3
Let p(z) = -z**2 - 9*z. Let l be p(-9). Let m(j) be the second derivative of 1/18*j**4 + 0 - 1/30*j**5 + l*j**2 + 0*j**3 + 2*j. Solve m(g) = 0.
0, 1
Let d(z) be the second derivative of 0 + 1/9*z**4 + 0*z**2 + 2/45*z**6 - 1/18*z**3 - 1/10*z**5 - 2*z - 1/126*z**7. Factor d(w).
-w*(w - 1)**4/3
Let z(c) = 5*c - 14. Let r be z(5). Suppose -r - 4 = -5*g. Determine a so that 0*a + 2/3*a**4 + 2/9*a**2 - 2/3*a**g + 0 - 2/9*a**5 = 0.
0, 1
Let p(r) be the third derivative of r**5/240 - r**4/48 - 7*r**2. Let p(y) = 0. Calculate y.
0, 2
Let o(s) be the first derivative of 0*s + 5 - 3/7*s**2 + 3/7*s**3. Determine l, given that o(l) = 0.
0, 2/3
Let h(o) be the third derivative of o**7/105 - o**6/20 + o**5/10 - o**4/12 - 2*o**2. Factor h(v).
2*v*(v - 1)**3
Let t(c) be the second derivative of -1/16*c**4 + 0 + 0*c**3 - 2*c + 3/8*c**2. Factor t(j).
-3*(j - 1)*(j + 1)/4
Let h = -3004/91 + 33. Let o = 177/455 - h. Solve o*p**3 + 6/5*p - 2/5 - 6/5*p**2 = 0.
1
Let u(n) be the third derivative of -5*n**8/336 - n**7/42 + 5*n**6/24 - n**5/4 - 42*n**2. Factor u(k).
-5*k**2*(k - 1)**2*(k + 3)
Let j be 1 + 1*3/(-10)*2. Determine l so that -j - 2/5*l**3 - 6/5*l - 6/5*l**2 = 0.
-1
Let a be (-28)/6*24/(-16). Find t such that 6*t + 1 - 3*t**2 + 3*t**4 - a*t**3 + t**3 - 1 = 0.
-1, 0, 1, 2
Let c be 1/(-15)*-6*-35. Let d be c/(-30) + (-7)/(-35). Determine j, given that -d*j**5 - 4/3*j**2 - 4/3*j**3 + 2*j**4 + 2*j - 2/3 = 0.
-1, 1
Let s = 55 + -53. Let f(d) be the second derivative of 0 + 0*d**3 - s*d - d**2 + 1/6*d**4. Factor f(c).
2*(c - 1)*(c + 1)
Suppose -x - 2*x = 6*x. What is z in -26/9*z**3 - 8/9*z + 8/3*z**2 + x - 2/9*z**5 + 4/3*z**4 = 0?
0, 1, 2
Let p(v) be the second derivative of v**7/14 - 11*v**6/10 + 3*v**5/2 + 53*v**4/2 + 133*v**3/2 + 147*v**2/2 + 4*v. Suppose p(h) = 0. What is h?
-1, 7
Suppose -5*i = -4*i - 12. Factor -i - p**3 + p**4 + 12.
p**3*(p - 1)
Let w = 452/385 - -14/55. Determine y so that -8/7*y**3 + 16/7*y**2 + 2/7 - w*y = 0.
1/2, 1
Let a(c) = 9*c**2 - 5*c - 1. Let k(w) = -8*w**2 + 5*w + 1. Let x(u) = 2*a(u) + 3*k(u). Let r(o) = -3*o**2 + 2*o + 1. Let t(s) = -5*r(s) + 2*x(s). Factor t(i).
3*(i - 1)*(i + 1)
Let d(a) = 3*a**2 + 30*a. Let u = 11 + -23. Let r(p) = -p**2 - 12*p. Let i(o) = u*r(o) - 5*d(o). Suppose i(k) = 0. Calculate k.
-2, 0
Let r(n) be the first derivative of 0*n - 1/2*n**4 - n**5 + 0*n**2 + 0*n**3 + 4 + 7/6*n**6. Determine l so that r(l) = 0.
-2/7, 0, 1
Let x(w) = 10*w**4 + 8*w**3 - 22*w**2 - 12*w + 13. Let j(c) = -c**4 - c**3 - 1. Let t(v) = 20*j(v) + 4*x(v). Solve t(b) = 0.
-2, -1, 2/5, 2
Let o(p) be the second derivative of -p**5/10 + p**4/3 + 4*p**3/3 - 2*p**2 + 2*p. Let f(s) = -s**3. Let b(c) = -6*f(c) - o(c). Suppose b(r) = 0. Calculate r.
-1, 1/2, 1
Factor -12*o - 64/5*o**2 - 12/5*o**3 + 72/5.
-4*(o + 3)**2*(3*o - 2)/5
Let d(t) be the first derivative of -3 - 3/4*t**3 - 1/10*t**5 + 5/8*t**2 + 7/16*t**4 - 1/4*t. Find a, given that d(a) = 0.
1/2, 1
Let a(z) be the third derivative of z**3 + z**2 + 0 + 0*z - 1/8*z**4 - 1/20*z**5. What is p in a(p) = 0?
-2, 1
Let y = 14 - 14. Factor n - n**3 + 2 + y*n + 2*n.
-(n - 2)*(n + 1)**2
Let j(r) be the first derivative of -r**5/60 - r**4/48 + r**3/12 - r**2/2 - 3. Let q(m) be the second derivative of j(m). Factor q(i).
-(i + 1)*(2*i - 1)/2
Factor 2/15*p**5 + 0*p + 2/3*p**3 + 0 + 4/15*p**2 + 8/15*p**4.
2*p**2*(p + 1)**2*(p + 2)/15
Let z(p) = 15*p**2 + 5*p + 10. Let u(t) = t**2 + 1. Let h(c) = 10*u(c) - z(c). Suppose h(m) = 0. What is m?
-1, 0
Suppose -5*f = 2*c - 36, 0 = -0*c + 2*c - 6. Suppose 0*z - 4*y - f = -z, 0 = 3*z - 4*y - 10. Factor -2*k + 0 + 0 + z*k**2.
2*k*(k - 1)
Let m(k) = -k. Let d(h) = 2*h**2 + h + 4. Let n(v) = d(v) - 5*m(v). Factor n(j).
2*(j + 1)*(j + 2)
Let u(m) = 5*m**4 - m**3 - 4*m. Suppose 16 - 1 = 5*a. Let x(z) = -4*z**4 + z**3 + 3*z. Suppose -10 = -4*s + 6. Let i(n) = a*u(n) + s*x(n). Factor i(p).
-p**3*(p - 1)
Let l be 106/10 - (-4)/10. Suppose -z = 4*m - l, 3*m = 5*z + 23 + 14. Find b such that 4*b**5 - b**3 - 5*b**5 + m*b**4 - 2*b**4 = 0.
0, 1
Let m(l) be the third derivative of -l**5/15 + l**4/3 + 16*l**3/3 + 47*l**2. Solve m(c) = 0.
-2, 4
Let x = -237 - -949/4. Find y, given that -x*y**2 + 0 + 0*y = 0.
0
Suppose 1/2*r**4 + 1/2*r + 3/2*r**3 + 3/2*r**2 + 0 = 0. Calculate r.
-1, 0
Let p(d) be the third derivative of d**10/37800 - d**8/5040 - d**5/10 + 7*d**2. Let m(j) be the third derivative of p(j). Let m(x) = 0. What is x?
-1, 0, 1
Suppose -3 = -4*l - p, 2*l - l + 3*p - 9 = 0. Solve -2/5*n**2 + 0*n + 2/5*n**4 + l - 2/5*n**5 + 2/5*n**3 = 0 for n.
-1, 0, 1
Suppose 0*v - 1/4*v**4 + 1/4*v**2 + 0 + 0*v**3 = 0. What is v?
-1, 0, 1
Let y be (-5 + 4)/((-2)/10). Determine g so that g**3 + 2*g**2 - g**2 + 3*g**2 - y*g**2 = 0.
0, 1
Let f = -13 - -15. Suppose -5*b + 3 = -2*v - 1, -b + v = -f. Factor -1/3*w**4 + b*w**3 + 0*w + w**5 + 0 + 0*w**2.
w**4*(3*w - 1)/3
Let n(p) be the second derivative of p**6/105 + p**5/70 - p**4/14 - p**3/21 + 2*p**2/7 + 10*p. Factor n(d).
2*(d - 1)**2*(d + 1)*(d + 2)/7
Determine d, given that 2*d**3 + 24/11*d**4 - 24/11*d + 16/11 - 10/11*d**5 - 52/11*d**2 = 0.
-1, 2/5, 2
Solve -2/15*w**3 - 2/3*w - 16/15*w**2 + 20/3 = 0.
-5, 2
Suppose 3*w = 7*w. Let q be w*(-1 + -2 - -2). Find b such that q - 6/7*b**2 + 4/7*b = 0.
0, 2/3
Let h(d) be the second derivative of -1/2*d**2 - 1/40*d**5 + 1/4*d**3 + 3*d + 0 + 0*d**4. Factor h(t).
-(t - 1)**2*(t + 2)/2
Let h be 4/(-22) + 57/11. Suppose 5*x = n - h*n + 10, 2*x = -4*n + 4. Determine o so that -o + 2*o**2 - o + 3*o - o**3 - 2 + n*o**3 = 0.
-1, 1, 2
Let c(w) be the third derivative of -w**2 + 1/120*w**5 - 1/480*w**6 + 0*w + 0*w**3 + 0 - 1/96*w**4. Factor c(r).
-r*(r - 1)**2/4
Suppose -29*x + 12 = -25*x. Let t(s) be the first derivative of 0*s - 1/4*s**4 + 1/3*s**x + s**2 - 1. Factor t(i).
-i*(i - 2)*(i + 1)
Let c(x) be the third derivative of -x**7/15 - x**6/30 + 7*x**5/30 + x**4/6 - 14*x**2. Factor c(y).
-2*y*(y - 1)*(y + 1)*(7*y + 2)
Let 1/7*j**3 + 2/7*j**2 + 0*j + 0 = 0. What is j?
-2, 0
Let l(h) = -h**2 - 15*h + 36. Let w be l(-17). Factor 1/2*n**5 + 3*n**3 + 0 - 2*n**4 - 2*n**w + 1/2*n.
n*(n - 1)**4/2
Let j(h) be the third derivative of -h**7/140 - h**6/20 - h**5/8 - h**4/8 - 9*h**2. Factor j(c).
-3*c*(c + 1)**2*(c + 2)/2
Let v = 8 - 6. Suppose 1 = 2*d - 3. Suppose i + 4*i**d - 4*i**v + i**2 + i = 0. What is i?
-2, 0
Let r(x) be the second derivative of x**5/110 + 7*x**4/22 + 49*x**3/11 + 343*x**2/11 + 22*x. Factor r(m).
2*(m + 7)**3/11
Let c(t) be the first derivative of t**6/1800 - t**4/120 - 7*t**3/3 - 1. Let a(x) be the third derivative of c(x). Determine n so that a(n) = 0.
-1, 1
Let n(b) = -2*b - 12. Let c be n(-7). Let -4*r**2 + 5*r**2 + 2*r**2 - 2*r**c - r**4 = 0. Calculate r.
-1, 0, 1
Suppose -8 = -2*z - p, 2*z = 4*z + 4*p - 14. Let x(v) be the first derivative of 2*v - v**2 + 1/2*v**4 + 1 - 2/3*v**z. Factor x(a).
2*(a - 1)**2*(a + 1)
Let n(p) be the first derivative of p**5/10 + p**4/8 - 3. Find r such that n(r) = 0.
-1, 0
Suppose -8*g + 3*g = 25. Let r = g - -5. Determine b, given that r*b + 2/3*b**2 - 2/3 = 0.
-1, 1
Let k be (-4)/6 + (-32)/6. Let f be 40/12*k/(-5). Find o such that -4*o**3 - 2*o**5 + 4*o**5 + 8*o**2 + 0*o**5 + 2*o - 4*o**4 - f = 0.
-1, 1, 2
Find b such that 4/7*b**2 - 24/7 + 4/7*b = 0.
-3, 2
Let s(c) be the first derivative of 4*c**5/7 - 22*c**4/7 + 44*c**3/7 - 40*c**2/7 + 16*c/7 + 12. Find i, given that s(i) = 0.
2/5, 1, 2
Let p(o) be the first derivative of o**8/2240 - o**6/480 + o**3 - 4. Let k(g) be the third derivative of p(g). Factor k(x).
3*x**2*(x - 1)*(x + 1)/4
Let t(b) be the first derivative of b**4/6 + 2*b**3/3 + 2*b**2/3 - 9. Factor t(x).
2*x*(x + 1)*(x + 2)/3
Suppose -9*g**2 - 1 + 16 - 12*g + 6*g**2 = 0. Calculate g.
-5, 1
Suppose 5*i + 3*u = 21, -3*i + 2*u = 2*i - 11. Factor 0 + 0*b - 4/7*b**2 + 10/7*b**i.
2*b**2*(5*b - 2)/7
Suppose -5 = -6*q + 7. Factor -18*t - 4*t**q - 12*t + 2*t - 16*t**2 - 8.
-4*(t + 1)*(5*t + 2)
Let j(w) be the second derivative of w**9/3024 - w**7/840 - w**3/3 + 2*w. Let d(o) be the second derivative of j(o). W