/2 + -3). Find p, given that 0*p - 2/7*p**2 + s = 0.
0
Let i be 114/27 + -2 + -2. Let m(c) = -c**2 - 3*c. Let j be m(-3). Let -i*k**2 + j*k + 0 - 2/9*k**4 - 4/9*k**3 = 0. What is k?
-1, 0
Let j(r) be the third derivative of r**5/120 + r**4/6 + 4*r**3/3 - 34*r**2. Factor j(g).
(g + 4)**2/2
Let o(t) = -t**2 - 2*t + 2. Let l(i) = 2*i**2 + 11*i - 14. Let r(u) = u**2 + 11*u - 15. Let m(f) = -4*l(f) + 3*r(f). Let q(b) = 2*m(b) - 11*o(b). Factor q(w).
w**2
Let g = -17 - -7. Let v be (3/6)/((-1)/g). Let -2*b**v + 9*b**2 - 5*b - 15*b**3 + 3*b - b**5 + 11*b**4 = 0. What is b?
0, 2/3, 1
Suppose 0 = -3*l - 7*i + 4*i + 9, 5*l = -i + 15. What is t in -t**2 - 60*t + t**l + 60*t + t**4 - t**5 = 0?
-1, 0, 1
Suppose 6 = 3*a, -4*w + w + 20 = 4*a. Let q(i) be the second derivative of 2/27*i**3 - 1/9*i**2 + 0 - 1/54*i**w + i. Factor q(g).
-2*(g - 1)**2/9
Suppose -14*j**3 + 8*j**5 + 6*j**2 + 2*j**5 - 5*j + 9*j - 6*j**4 = 0. What is j?
-1, -2/5, 0, 1
Factor 4/3*v**3 - 2/3*v**4 - 2/15 + 2/3*v - 4/3*v**2 + 2/15*v**5.
2*(v - 1)**5/15
Let j(h) = -h**2 + 2*h - 1. Let u be j(1). Factor 4/3*t - 2/3*t**2 + u - 38/3*t**4 - 10*t**3 - 14/3*t**5.
-2*t*(t + 1)**3*(7*t - 2)/3
Let d = -3 - 3. Let y be (-34)/d + (-2)/(-6). Let -3 + y - 2*b - 5 + 2*b**2 + 2*b**3 = 0. What is b?
-1, 1
Let h(j) be the first derivative of j**3 + 2*j**2 + 0*j**3 - 5 - 5*j**2 + 1. Let h(z) = 0. Calculate z.
0, 2
Let v = 323/4 - 1603/20. Determine i so that -6/5 + v*i**2 - 3/5*i = 0.
-1, 2
Let s(j) be the second derivative of 5*j**4/12 - 5*j**3/3 - 15*j**2/2 + 4*j. Determine f, given that s(f) = 0.
-1, 3
Let c = 5 + -2. Factor 2 - 2*s + 5*s + c*s - 4*s - 12*s**2.
-2*(2*s - 1)*(3*s + 1)
Let 33*z**2 - 17*z**2 - 28*z + 4*z**5 + 12 - 20*z**4 + 24*z**3 - 8*z**2 = 0. Calculate z.
-1, 1, 3
Suppose 32 - 8 = 3*o. Factor -7*d**3 + d**3 - 10*d - 4 - o*d**2 + d**3 + 3*d**3.
-2*(d + 1)**2*(d + 2)
Let a(v) be the third derivative of -1/6*v**3 + 1/120*v**6 - v**2 - 1/24*v**4 + 0*v + 1/60*v**5 + 0. Factor a(u).
(u - 1)*(u + 1)**2
Suppose -2*d + 71 = 7. Let g be (-3)/(-2)*d/12. Suppose 1/3*l - 1/3*l**g + 0 - 1/3*l**3 + 1/3*l**2 = 0. Calculate l.
-1, 0, 1
Factor 508*v**2 - 245*v**2 + 2*v**3 - 255*v**2.
2*v**2*(v + 4)
Suppose 0 = -2*d - 2*d + 32. Suppose -5*f = -4*c - f, -3*f + 8 = c. Factor 2 - d*t**2 - t - t**c + 7*t**2 + t**3.
(t - 2)*(t - 1)*(t + 1)
Let r(b) be the third derivative of 1/735*b**7 + 0*b**3 - 1/210*b**5 + 0 + 0*b**6 + 0*b**4 + 0*b + 2*b**2. Let r(m) = 0. What is m?
-1, 0, 1
Let r(k) = 2*k**2 - 4 + 0*k**2 + 7 - 2*k + 3*k. Let s(q) = -q**2 + q - 1. Let i(o) = -r(o) - 3*s(o). What is c in i(c) = 0?
0, 4
Let z(x) = 2*x**3 - 6*x**3 + 3*x**3. Let o be z(-1). Determine a, given that -1 + 3*a**2 - 2*a**2 - a + o = 0.
0, 1
Let h(u) be the second derivative of u**6/660 + u**5/165 - u**4/132 - 2*u**3/33 + 3*u**2/2 - u. Let s(t) be the first derivative of h(t). Solve s(p) = 0.
-2, -1, 1
Let c = 12 - 3. Suppose 1 = -4*w + c. What is g in -5*g + 3*g**w + 0*g - 4*g**4 + 4 + 5*g**3 - 3 = 0?
-1, 1/4, 1
Let z(g) = 3*g**3 + 7*g + 1 - 2*g**2 - 11*g + 4*g. Let f be z(1). Determine r so that f*r + 3*r**4 + 4*r + 14*r**2 - 2*r + 16*r**3 + 3*r**4 = 0.
-1, -2/3, 0
Let i = -41/3 - -96/7. Let x(u) be the second derivative of i*u**3 - 1/42*u**4 + 3*u + 1/7*u**2 + 0 - 1/70*u**5. Let x(y) = 0. What is y?
-1, 1
Suppose -4*q + q + 6 = 0. Let t(s) be the third derivative of 0*s + s**q - 1/24*s**4 - 1/240*s**5 - 1/6*s**3 + 0. Let t(z) = 0. Calculate z.
-2
Let d(y) be the first derivative of -y**6/10 + 9*y**5/25 - 3*y**4/10 - 2*y**3/5 + 9*y**2/10 - 3*y/5 - 3. Solve d(v) = 0.
-1, 1
Let x = -449 - -452. Find s, given that -1/2*s - 2*s**x - 2*s**2 + 0 = 0.
-1/2, 0
Let l(c) be the third derivative of -c**8/840 + 2*c**7/525 - c**6/300 - 5*c**2. Suppose l(y) = 0. Calculate y.
0, 1
Let d be 601/(-150)*-1 + -4. Let b(z) be the third derivative of 0*z - z**2 - 1/15*z**3 - 1/30*z**4 - d*z**5 + 0. Factor b(v).
-2*(v + 1)**2/5
Let p(d) be the second derivative of -d**7/420 + 7*d**6/540 - d**4/9 + d**3/2 - 5*d. Let v(t) be the second derivative of p(t). Factor v(s).
-2*(s - 2)*(s - 1)*(3*s + 2)/3
Suppose 2*f = 8*f - 144. Let z be (-3)/(-14)*32/f. Solve z*p**2 + 0*p + 0 = 0 for p.
0
Let k(l) = 6*l**3 + 4*l**2 + 14*l - 8. Let x(p) = 4*p**3 + 3*p**2 + 9*p - 5. Let o(c) = 5*k(c) - 8*x(c). Factor o(w).
-2*w*(w + 1)**2
Let v be 1 + -1 + 2 + 3. Let y(q) = 5*q**4 + q**3 + q**2 + 7*q - 2. Let h(n) = -6*n**4 - 2*n**3 - n**2 - 8*n + 2. Let j(x) = v*y(x) + 4*h(x). Factor j(d).
(d - 2)*(d - 1)**2*(d + 1)
Suppose 0 - 8*j**2 + 4*j**3 - j**3 - 15*j - 5 + 1 = 0. What is j?
-1, -1/3, 4
Let c be (11 - 4)/(-1 - -2). Suppose -c*i = -3*i - 24. Factor 37*v**2 - 6 - 21*v - 27*v**3 + i*v + 11*v**2.
-3*(v - 1)**2*(9*v + 2)
Let r(n) be the first derivative of 1/2*n**2 + 2/5*n**5 - 4/3*n**3 + 2*n - 1/2*n**4 + 1/6*n**6 - 7. What is z in r(z) = 0?
-2, -1, 1
Let l be 0/(-4 + 8 + -3). Determine x so that 2/11*x**4 + 0*x + l*x**2 - 8/11*x**5 + 0 + 0*x**3 = 0.
0, 1/4
Let k be (-25)/(-30)*2/24. Let y(x) be the third derivative of 0*x - 1/9*x**3 + 0 + k*x**4 - x**2 + 1/15*x**5. What is o in y(o) = 0?
-2/3, 1/4
Let m(x) = 3*x**3 - 11 + 6*x + 4*x**2 + 3*x**3 + 3*x**3. Let u(s) = -5*s**3 - 2*s**2 - 3*s + 6. Let o(k) = -6*m(k) - 11*u(k). Determine j, given that o(j) = 0.
-1, 0, 3
Let p = -223 - -1116/5. Solve 0*m**2 + 0*m + 3/5*m**5 + 0*m**3 + 0 - p*m**4 = 0 for m.
0, 1/3
Let u = 101/224 - -13/32. Suppose -4/7*q**2 + 0*q - 2/7*q**4 - u*q**3 + 0 = 0. Calculate q.
-2, -1, 0
Let v be (3/6)/(((-8)/12)/(-2)). Factor 0 + a + 1/2*a**3 + v*a**2.
a*(a + 1)*(a + 2)/2
Let m(q) be the third derivative of -2*q**2 + 0 + 0*q**5 + 0*q**3 + 1/720*q**6 + 0*q + 0*q**4. Factor m(g).
g**3/6
Suppose p - 4*b + 10 = 0, -4*b + 22 = 5*p - 0*b. Factor -2*u - u**p + 3*u**2 + u - u**2.
u*(u - 1)
Let j = 19 + -5. Suppose -w = t - 7, -3*t - j = -w - 3*w. Solve 2/3*z**t + 4/3*z + 2/3 = 0.
-1
Let i(r) be the second derivative of r**6/15 + r**5/10 - r**4/6 - r**3/3 + 5*r. Factor i(s).
2*s*(s - 1)*(s + 1)**2
Let b = 7 + -5. Factor b*j**2 + 3*j - 2 - 2 - j.
2*(j - 1)*(j + 2)
Let v(m) be the second derivative of -1/6*m**4 - 2*m + 0*m**3 + 0 + 0*m**2 - 1/10*m**5. What is f in v(f) = 0?
-1, 0
Determine s, given that 3*s - 2*s**2 + 7*s**2 - 5*s**2 - s**2 = 0.
0, 3
Solve 97*i - 36 - 4*i**2 - 81*i - 40*i = 0 for i.
-3
Let t = -96 - -98. Factor -2/3 - c - 1/3*c**t.
-(c + 1)*(c + 2)/3
Let w(b) = -17*b**2 - 27*b + 36. Let s(n) = 11*n**2 + 18*n - 24. Let r(u) = -8*s(u) - 5*w(u). Let r(d) = 0. Calculate d.
-4, 1
Let w(p) = 8*p**4 - 6*p**3 + 6*p**2 - 8*p + 6. Let s(r) = r**4 - r + 1. Let x(v) = -12*s(v) + 2*w(v). Determine k so that x(k) = 0.
0, 1
Let m(u) be the first derivative of -u**3/5 - 6*u**2/5 + 3*u - 34. Factor m(d).
-3*(d - 1)*(d + 5)/5
Factor 1/4*m**3 - 5/4*m**2 + 0 + m.
m*(m - 4)*(m - 1)/4
Let y be (-92)/(-12) + (-2)/3. Suppose y = 2*f + a, -5*a - 4 = 4*f - 27. Solve 4*w**f + 2*w + 3*w**2 - 6*w**2 = 0 for w.
-2, 0
Let d(k) be the second derivative of -k**4/24 - 2*k**3/3 - 4*k**2 + 6*k. Suppose d(c) = 0. Calculate c.
-4
Suppose 0 = -3*j - j + 3*l, 5*l - 26 = -2*j. Let 4*p**4 - 5 - p**3 + 5*p - j*p**4 + 3 - 3*p**2 = 0. What is p?
-2, 1
Let l = 19 + -16. Factor 1/4*u**2 + 1/4*u**l + 0 - 1/2*u.
u*(u - 1)*(u + 2)/4
Let l(d) = -3 - 4*d - d**2 - 4*d**2 + 1 + 0. Let u = 14 - 27. Let h(i) = -11*i**2 - 8*i - 5. Let c(v) = u*l(v) + 6*h(v). Factor c(k).
-(k - 2)**2
Factor -9 - t**2 - 7*t - 5*t - 3*t**2.
-(2*t + 3)**2
Suppose h + 40 = 4*y + 3*h, 5*y - 3*h - 39 = 0. Let j be ((-6)/63)/((-3)/y). Solve j*i + 2/7*i**2 + 0 = 0 for i.
-1, 0
Let i(x) be the third derivative of x**7/2520 + x**6/360 + 5*x**4/24 + 3*x**2. Let u(o) be the second derivative of i(o). Find t such that u(t) = 0.
-2, 0
Let u be (2/8)/((-39)/(-208)). Solve -11/3*j**3 + u*j + j**5 + 4/3 + 1/3*j**4 - 3*j**2 = 0.
-1, 2/3, 2
Let u(k) = -15*k**2 - 5*k + 30. Let n(l) = 5*l**2 + l - 10. Let j(s) = -10*n(s) - 3*u(s). Factor j(t).
-5*(t - 2)*(t + 1)
Let p(n) be the third derivative of -1/12*n**4 + 2/3*n**3 + 0*n + 0 - 1/30*n**5 + 2*n**2. Factor p(b).
-2*(b - 1)*(b + 2)
What is t in -16*t**5 + 4*t**4 - 10*t + 2*t + t + 20*t**2 + 48*t**3 - t = 0?
-1, 0, 1/4, 2
Let m be 12/18 + (-14)/(-6). Find n such that n**5 + 12*n - n**m - 12*n = 0.
-1, 0, 1
Let w(j) = -j**2 + 13*j + 4. Let d 