?
-1, 1
Let s(p) = 4*p**2 + 14*p + 6. Let g be s(-3). Determine x, given that 2/9*x**4 + g*x + 0*x**2 + 0 - 2/9*x**3 = 0.
0, 1
Let m be -6 - -8 - (-1)/((-2)/4). Factor 1/3*b**3 + 0*b + m + 2/3*b**2.
b**2*(b + 2)/3
Let j be (55/(-66) - (-2)/6)*-6. Factor -i**j - 1/3*i**2 - 2/3*i**4 + 0*i + 0.
-i**2*(i + 1)*(2*i + 1)/3
Let i(x) be the third derivative of -x**6/30 - 2*x**5/15 - x**4/6 - 9*x**2. Find c, given that i(c) = 0.
-1, 0
Let o(w) be the third derivative of -1/30*w**5 + 1/3*w**4 + 0*w - w**3 + 0 + 6*w**2. Factor o(s).
-2*(s - 3)*(s - 1)
Let x = 63 + -63. Factor x - 2/7*f**2 + 0*f.
-2*f**2/7
Let s = 11 - 8. Let r = -1 + 3. Factor 2*y**2 - y**3 + 2*y**r - y**s.
-2*y**2*(y - 2)
Let t = 25 - 17. What is u in 3*u**3 + 4 + 18*u**2 + 36*u + 12 + t = 0?
-2
Suppose -b + 30 = 4*b. Suppose 4*m = -k - b, m - 8 = -7*k + 2*k. Factor 8*j**2 - k*j**3 - 2 - 12*j + 6 + 2*j.
-2*(j - 2)*(j - 1)**2
Let a(v) be the second derivative of v**6/50 + 6*v**5/25 + 6*v**4/5 + 16*v**3/5 + 24*v**2/5 - 52*v + 2. Suppose a(l) = 0. What is l?
-2
Let a(t) be the first derivative of t**7/1680 - t**6/240 + t**4/12 + t**3 + 5. Let k(b) be the third derivative of a(b). Find c, given that k(c) = 0.
-1, 2
Let j(z) be the first derivative of -z**4/16 - z**3/4 + z**2/8 + 3*z/4 - 25. Factor j(f).
-(f - 1)*(f + 1)*(f + 3)/4
Let f(m) be the first derivative of m - m + m**3 + m**2 + 2*m**2 - 2. Solve f(j) = 0.
-2, 0
Let p(b) be the second derivative of -b**6/1440 - b**5/240 - b**3/3 - 2*b. Let l(w) be the second derivative of p(w). Factor l(v).
-v*(v + 2)/4
Let m(g) = -g**2 + 5*g + 6. Let l be m(5). Factor l*h**2 + 5 + 6*h**3 + 2 - 7 + 2*h**4 + 2*h.
2*h*(h + 1)**3
Let v = -6 - -9. Let j(d) be the first derivative of 0*d**v + 0*d**2 + 1/5*d**5 + 0*d + 1/4*d**4 + 3. Let j(a) = 0. What is a?
-1, 0
Let a(i) = 4*i - 2. Let f be a(1). Let c(m) be the first derivative of -1/4*m**f + 0*m - 1/12*m**3 + 2. Let c(u) = 0. What is u?
-2, 0
Let d = 36/115 + 2/23. Suppose 2*k - 2*h + 3*h - 2 = 0, 4*k - 2*h = 20. Solve -4/5*b**2 + 0 + d*b + 2/5*b**k = 0.
0, 1
Let o be (-4 + 5)*(3 + -1). Let q be (0 - -3)*10/15. Factor -6*s**2 + 5*s**q + 4 + o*s - 4 - s**3.
-s*(s - 1)*(s + 2)
Let j be ((1 - -1) + -1 - 0)*0. Let o(z) be the second derivative of j + 0*z**5 + 1/30*z**4 - 2*z - 1/210*z**7 - 1/75*z**6 + 0*z**2 + 1/30*z**3. Factor o(t).
-t*(t - 1)*(t + 1)**3/5
Let n(a) = -2*a. Let i(k) = -k. Let r(j) = -i(j) + n(j). Let v(x) = 2*x**2 + 10*x + 2. Let u = -7 + 13. Let h(l) = u*r(l) + v(l). Factor h(p).
2*(p + 1)**2
Let m(p) be the third derivative of -p**7/2100 + p**6/1200 + p**5/600 - p**4/240 + 30*p**2. Suppose m(t) = 0. Calculate t.
-1, 0, 1
Suppose -4*u - 10 = v - 0*v, -3*u - 13 = -2*v. What is o in -9/4 - 3/2*o - 1/4*o**v = 0?
-3
Let v be (216/(-72))/(2*1*-1). Factor -1/4*z - 1/4*z**5 + z**4 + z**2 - v*z**3 + 0.
-z*(z - 1)**4/4
Let a = -140 + 424/3. Let s(r) be the first derivative of a*r**3 + 2 - 2*r + 1/3*r**6 - 2/5*r**5 - r**4 + r**2. Factor s(j).
2*(j - 1)**3*(j + 1)**2
Let s be -4 - 150/(-35) - (-52)/14. Let z(d) be the third derivative of 0 + 0*d + d**2 - 1/60*d**5 + 0*d**3 + 1/24*d**s. Let z(p) = 0. What is p?
0, 1
Let s be 8/3*(-27)/(-2). Let w be 3/7 + s/14. Find l, given that 3*l**4 - 4*l**3 + 2*l**w + 5*l**3 = 0.
-1, 0
Let n(m) be the second derivative of m**6/10 + 9*m**5/20 - m**4/4 - 3*m**3/2 - 18*m. Factor n(x).
3*x*(x - 1)*(x + 1)*(x + 3)
Let g(o) be the first derivative of -o**6/9 + o**4/2 + 4*o**3/9 + 13. Factor g(j).
-2*j**2*(j - 2)*(j + 1)**2/3
Let f be 30/9 + (-12)/4. Let z(n) be the second derivative of -1/6*n**3 + 0 + 1/36*n**4 - n + f*n**2. Suppose z(i) = 0. Calculate i.
1, 2
Let b(x) be the third derivative of -5*x**2 - 1/6*x**3 + 1/120*x**6 - 5/48*x**4 - 1/120*x**5 + 0*x + 0. Solve b(t) = 0.
-1, -1/2, 2
Let v(c) be the third derivative of -c**7/1260 - c**6/540 + c**5/90 + c**3/2 + 2*c**2. Let d(x) be the first derivative of v(x). Suppose d(a) = 0. Calculate a.
-2, 0, 1
Let c be ((-8)/6)/(336/(-216)). Find f such that -c*f - 4/7 - 2/7*f**2 = 0.
-2, -1
Let b = -8056/63 + 1228/9. Suppose -2/7*i**3 - 16/7 - 38/7*i**4 + 8/7*i + b*i**2 - 12/7*i**5 = 0. What is i?
-2, -2/3, 1/2, 1
Let q be -2 - (4 + 2*-3). Let t(v) be the third derivative of -1/6*v**3 - 2*v**2 + 0*v + q + 1/15*v**5 - 1/8*v**4. Let t(a) = 0. Calculate a.
-1/4, 1
Let i(g) be the first derivative of -2 + 1/12*g**3 + g - 1/2*g**2. Factor i(d).
(d - 2)**2/4
Let n(f) = -f**2 + 1. Let a(m) = -m**2 + m. Let d(y) = 6*a(y) - 4*n(y). Solve d(u) = 0 for u.
1, 2
Let g(v) be the third derivative of v**7/210 + 11*v**6/360 + v**5/36 - v**4/24 + 13*v**2. Let g(a) = 0. Calculate a.
-3, -1, 0, 1/3
Let w be 23/7 - 2/7. Suppose -w*u**2 + 3*u**4 + u**4 + u**2 - 2*u**4 = 0. What is u?
-1, 0, 1
Let z(h) be the third derivative of h**5/12 + 5*h**4/6 + 10*h**3/3 - 10*h**2. Suppose z(o) = 0. What is o?
-2
Factor -8/9*a**3 + 8/9*a**4 + 0 + 0*a**2 - 2/9*a**5 + 0*a.
-2*a**3*(a - 2)**2/9
Let g(b) be the second derivative of -b**6/120 - b**5/20 + 2*b**3/3 + 2*b. Let n(z) be the second derivative of g(z). Determine y, given that n(y) = 0.
-2, 0
Let u(n) be the first derivative of -n**9/13608 + n**7/3780 + n**3 + 1. Let f(k) be the third derivative of u(k). Let f(d) = 0. What is d?
-1, 0, 1
Let l = -75/2 + 38. Factor -1/4*v + l - 1/4*v**2.
-(v - 1)*(v + 2)/4
Let l(i) be the third derivative of 5*i**8/336 + i**7/14 + i**6/24 - i**5/4 - 5*i**4/12 - 10*i**2. Find m, given that l(m) = 0.
-2, -1, 0, 1
Let g = -103 + 105. Let k(d) be the third derivative of -1/54*d**4 + 3*d**g + 0*d**3 + 0*d + 1/54*d**5 + 0. Let k(w) = 0. What is w?
0, 2/5
Let d(p) = -3*p - 6. Let o(z) = z**2 - 6*z - 12. Let q(l) = -5*d(l) + 3*o(l). Let q(a) = 0. What is a?
-1, 2
Let d(f) be the first derivative of -5*f**3/3 - 9. Let d(i) = 0. What is i?
0
Factor -14*u**2 - 2 - 8 + 25*u - 2 + u**3 + 0.
(u - 12)*(u - 1)**2
Let s(t) be the third derivative of 0 + 0*t**3 - 1/40*t**5 + 5*t**2 + 0*t + 1/448*t**8 + 1/140*t**7 + 0*t**6 - 1/32*t**4. Find z, given that s(z) = 0.
-1, 0, 1
Let g(d) be the third derivative of -d**5/30 - d**4/3 - 4*d**3/3 - 8*d**2. Factor g(n).
-2*(n + 2)**2
Let d(a) = -a**3 + 9*a**2 - 8*a + 2. Let r be d(8). Let w be 1 + 2*r/4. Factor w*g**4 + g**4 + g**3 + 0*g**4.
g**3*(3*g + 1)
Let w(p) be the third derivative of p**7/210 + p**6/40 + p**5/20 + p**4/24 + 3*p**2. Let w(i) = 0. Calculate i.
-1, 0
Let k(i) be the second derivative of -i**7/2100 + i**6/225 - i**5/75 + 2*i**3/3 - 4*i. Let r(n) be the second derivative of k(n). Let r(g) = 0. Calculate g.
0, 2
Suppose 27 = 7*f + 2*f. Let z(s) be the third derivative of 1/30*s**5 + 0*s - 1/12*s**4 - 1/3*s**f + 1/60*s**6 + s**2 + 0. Factor z(k).
2*(k - 1)*(k + 1)**2
Suppose -4*s + 32 = 2*y, -3*y + 3 = 4*s - 7*s. Let x be (-2)/(-6)*2*y. Find n such that 0*n**3 - 2*n**5 + 2*n**3 + 4*n**x + 4*n**5 + 0*n**5 = 0.
-1, 0
Let b be (2/(-30))/(1/(-3)). Let x = -3/52 - -67/260. Factor -2/5*q + b + x*q**2.
(q - 1)**2/5
Let f = -5 - 4. Let w = f + 12. Factor 0 + 1/2*d**2 - 1/4*d - 1/4*d**w.
-d*(d - 1)**2/4
Factor 2*c**2 + 3/2*c**4 + 1/4*c**5 + 0 + 3*c**3 + 0*c.
c**2*(c + 2)**3/4
Suppose 11 = -2*i + 5*w - 5, 2*i = 4*w - 12. Solve 0 + 6*u + 0 - 6*u**i - 2 + 2*u**3 + 0*u = 0 for u.
1
Let j = 4 - 7/2. Determine x, given that 0*x**2 + 0 + 1/2*x - j*x**3 = 0.
-1, 0, 1
Factor -3/2*c - 1/4*c**2 + 7/4.
-(c - 1)*(c + 7)/4
Let k be -12 + 0 + (-4)/(-2). Let o be ((-5)/k)/((-14)/(-8)). Let 2/7*v**3 - 2/7*v**2 + 0 + 2/7*v**4 - o*v = 0. Calculate v.
-1, 0, 1
Let l = -9 - -9. Let v(d) be the second derivative of 1/12*d**3 + l*d**2 - 2*d + 0 + 1/84*d**7 + 0*d**6 - 1/20*d**5 + 0*d**4. Factor v(r).
r*(r - 1)**2*(r + 1)**2/2
Let i = 10 - 6. Let 10*f**3 - 2*f**i + 4*f**4 - f**4 + 16 - 3*f**4 - 8*f - 12*f**2 = 0. Calculate f.
-1, 2
Suppose 0 = 7*q - 6*q - 2. Let 2*z**3 - 5*z**q + 2*z + z**2 + 0*z + 0*z = 0. Calculate z.
0, 1
Let p be (-2)/(-6) + (-15)/(-9). Let 3*u**p + 2 - 2 + 3*u**3 = 0. Calculate u.
-1, 0
Let n(v) be the second derivative of -v**5/80 - v**4/16 - v**3/12 + 3*v. Factor n(s).
-s*(s + 1)*(s + 2)/4
Factor 57*h**2 - 27*h + 16 + 107*h + 43*h**2.
4*(5*h + 2)**2
Let l(a) = a**3 - 10*a**2 - 24*a + 2. Let q be l(12). Factor 2/5*f + 0 + 4/5*f**3 + 6/5*f**q.
2*f*(f + 1)*(2*f + 1)/5
Let i(v) be the first derivative of -v**4/12 + 7*v**2/6 + 2*v - 11. Fact