j(o) + 4*q(o). What is v in x(v) = 0?
-1, 0
Let o(b) be the second derivative of 1/20*b**5 - 1/126*b**7 - 6*b + 0 + 0*b**2 + 1/9*b**4 - 2/9*b**3 - 1/45*b**6. Factor o(d).
-d*(d - 1)**2*(d + 2)**2/3
Let f(i) = -i**5 + i**4 + 10*i**3 - 6*i**2 - 8*i - 4. Let g(v) = v**3 - v**2. Suppose 3*o - 4*o + 5 = 0. Let a(h) = o*g(h) - f(h). Factor a(m).
(m - 2)**2*(m + 1)**3
Let y(r) be the second derivative of 1/60*r**4 + 0 - r + 1/30*r**3 - 1/5*r**2. Determine h so that y(h) = 0.
-2, 1
Factor 1/2*m**4 + m**2 + 3/2*m**3 + 0 + 0*m.
m**2*(m + 1)*(m + 2)/2
Let u(p) = -8*p**2 + 11 + 6*p**2 + 4*p - p**3 - 2*p**2. Let o be u(-5). Factor 2 + 77/2*c**2 + 49/2*c**3 + o*c.
(c + 1)*(7*c + 2)**2/2
Let j(p) = 9 - 9*p**2 + 3*p - 2*p - p. Let t(u) be the second derivative of -5*u**4/12 + 5*u**2/2 - u. Let i(y) = -4*j(y) + 7*t(y). Suppose i(q) = 0. What is q?
-1, 1
Suppose -3 = -i - y - 0, 0 = y + 1. Let j be (-10)/14 - (i - 5). Factor 2/7*a + 0 - j*a**2 - 2/7*a**3 + 2/7*a**4.
2*a*(a - 1)**2*(a + 1)/7
Let i = 133/272 - -3/272. Factor 0*o + i - 1/2*o**2.
-(o - 1)*(o + 1)/2
Factor 33/2*g - 3/4*g**2 - 363/4.
-3*(g - 11)**2/4
Factor 2/3*d**2 - 2/3*d**3 + 0 - 2/9*d + 2/9*d**4.
2*d*(d - 1)**3/9
Let w(k) be the second derivative of -6*k + 1/40*k**5 + 0*k**2 + 0 - 1/48*k**3 - 1/32*k**4. Find s such that w(s) = 0.
-1/4, 0, 1
Suppose -56 = 4*v - q - 51, -10 = 5*v - 2*q. Find p, given that v - 9/7*p - 3/7*p**2 = 0.
-3, 0
Let s(n) be the third derivative of -n**7/1400 - n**6/200 + n**4/10 + n**3/3 - 2*n**2. Let z(o) be the first derivative of s(o). Factor z(b).
-3*(b - 1)*(b + 2)**2/5
Let m be (-4)/14 + (-10)/14. Let w be (m + 2)*(-12)/(-3). Factor -8*v**3 - 14*v - 28*v**2 - 11*v**2 + v**4 - 3*v - 2 + 15*v**w.
(v - 2)*(v + 1)*(4*v + 1)**2
Let x(b) be the third derivative of -1/12*b**5 + 0*b + 1/3*b**3 - 3*b**2 + 1/8*b**4 + 0. Factor x(i).
-(i - 1)*(5*i + 2)
Let r(h) be the first derivative of -14*h**3/27 + 2*h**2/9 - 15. Determine w, given that r(w) = 0.
0, 2/7
Let z(j) be the first derivative of -2*j**7/105 + 2*j**5/15 - 2*j**3/3 + 5*j**2/2 + 4. Let t(u) be the second derivative of z(u). Determine y so that t(y) = 0.
-1, 1
Let x(r) be the third derivative of 0*r - 2/15*r**3 + 1/12*r**4 + 1/525*r**7 + 0 - 1/50*r**5 - 4*r**2 - 1/300*r**6. Suppose x(i) = 0. What is i?
-2, 1
Let u(l) = l**2 + 5*l - 11. Let v be u(-7). Solve -5*b**3 + b**5 - b**2 + 4*b**4 + 4*b**3 + 0*b**5 - v*b**4 = 0 for b.
-1, 0, 1
Let f(p) = -p**2 - 5*p - 3. Let s be f(-3). Factor -8*k + 14*k + 0*k**2 + s*k**2 + 3.
3*(k + 1)**2
Let x(n) = n + 11. Let j be x(-8). Suppose l + u = -3*l + j, 0 = l + 3*u - 9. Factor 6/7*p**4 + 0*p + 6/7*p**3 + 2/7*p**5 + 2/7*p**2 + l.
2*p**2*(p + 1)**3/7
Let j(v) be the first derivative of 0*v - 3*v**3 + 3/4*v**4 + 3*v**2 - 4. Factor j(y).
3*y*(y - 2)*(y - 1)
Let q(s) be the third derivative of s**9/504 - s**8/560 - s**7/280 - s**3/6 + 7*s**2. Let b(o) be the first derivative of q(o). Factor b(y).
3*y**3*(y - 1)*(2*y + 1)
Let r be (3 + -3)/(-1) + 3. Let w(s) = s**3 - 2*s**2 - 3*s + 2. Let d be w(r). Factor -2 - 5*o + o + 0*o - d - o**2.
-(o + 2)**2
Let k be (-2)/4*(-1)/2. Let l(u) = 8*u + 146. Let x be l(-18). Determine p, given that -1/2 + 1/4*p**x - k*p = 0.
-1, 2
Let x be -1 + 2 + -3 + (-14)/(-4). Suppose 3*c = 6*c - 12. Factor -1/4 + t**3 + t - x*t**2 - 1/4*t**c.
-(t - 1)**4/4
Let x(f) be the first derivative of -2 - 1/6*f**2 + 1/90*f**6 - 1/9*f**3 + 0*f**4 + 1/30*f**5 - 2*f. Let m(z) be the first derivative of x(z). Solve m(d) = 0.
-1, 1
Suppose 52 = -3*s - 20. Let j = 28 + s. Factor 8/5*d + 2/5 + 2/5*d**j + 8/5*d**3 + 12/5*d**2.
2*(d + 1)**4/5
Let r(w) = -w**3 + 10*w**2 + 13*w - 20. Let k be r(11). Suppose -2/3*z - 1/3*z**k + 1 = 0. Calculate z.
-3, 1
Suppose 23 = 3*g - 13. Let r be ((-3)/g + -1)*-4. Find w such that 2/3*w**3 + 0*w + 2/3*w**4 + 0 + 2/9*w**r + 2/9*w**2 = 0.
-1, 0
Let g(i) be the second derivative of i**7/7 - i**6/15 - 3*i**5/10 + i**4/6 + 4*i. Find x, given that g(x) = 0.
-1, 0, 1/3, 1
Suppose 0 = -5*d + 13 + 12. Suppose 4*m - m**3 - d*m + 2*m + 0*m = 0. Calculate m.
-1, 0, 1
Suppose -3*s - 50 = -s. Let v be 8/36 - s/9. Determine k, given that 0*k**v + 2/3*k**4 + 0*k - 2/3*k**2 + 0 = 0.
-1, 0, 1
Let p(k) = -2*k**3 - 6*k**2 - 6*k + 6. Let s(h) = -5*h**3 - 19*h**2 - 17*h + 17. Let j(o) = 17*p(o) - 6*s(o). Find q such that j(q) = 0.
0, 3
Let o(m) be the first derivative of -m**6/480 - m**5/120 + 7*m**2/2 - 2. Let t(j) be the second derivative of o(j). Solve t(x) = 0.
-2, 0
Suppose -l = -8 + 7. Let y(x) be the first derivative of -1/6*x**6 + 1/2*x**4 - l - x + 2/3*x**3 - 1/5*x**5 - 1/2*x**2. Solve y(p) = 0 for p.
-1, 1
Let s(r) = 2*r**3 - 30*r**2 - 32*r - 12. Let u(j) = j**3 - 12*j**2 - 13*j - 5. Let z = 2 + 10. Let q(l) = z*u(l) - 5*s(l). Factor q(k).
2*k*(k + 1)*(k + 2)
Suppose 0 = 3*d + o - 12, 4*d - 14 - 18 = 4*o. Determine b so that -3*b**5 - 2*b**3 + b**d + 4*b**5 = 0.
-1, 0, 1
Let c(j) = -11*j**4 - 11*j**3 - 5*j**2 - 5*j. Let g(d) = 6*d**4 + 6*d**3 + 3*d**2 + 3*d. Let o(h) = -3*c(h) - 5*g(h). Let o(s) = 0. What is s?
-1, 0
Let w(j) be the first derivative of j**6/12 + 2*j**5/5 + 3*j**4/8 - 27. Factor w(z).
z**3*(z + 1)*(z + 3)/2
Let z(u) be the second derivative of -3*u**5/140 - 3*u**4/28 + 2*u**3/7 - 7*u. Factor z(n).
-3*n*(n - 1)*(n + 4)/7
Let m = 746/7 + -106. Factor -m*p + 2/7*p**2 + 2/7.
2*(p - 1)**2/7
Let m(i) be the third derivative of -i**7/70 + i**5/10 - i**3/2 + 15*i**2. Determine p so that m(p) = 0.
-1, 1
Let f(b) = 0*b**3 - b**3 + 0*b**3 + 0*b**3 - b**2 - 1. Let c(y) = 2*y**3 + 4*y**2 + 2*y + 3. Let v(x) = 2*c(x) + 6*f(x). Factor v(j).
-2*j*(j - 2)*(j + 1)
Suppose 0 = -3*i + 5 + 13. Let r = 9 - i. Solve -2*j**4 - 4*j**4 - 3*j**2 + 4*j**r + 5*j**2 + 8*j**4 = 0 for j.
-1, 0
Determine c, given that 0*c**2 - 2/13*c**4 + 2/13 + 4/13*c**3 - 4/13*c = 0.
-1, 1
Suppose d + 2*d - 8 = -4*l, d + 5*l - 10 = 0. Suppose -4*w = 1 - 13. Factor -v - 2*v**2 + w*v**2 + d*v.
v*(v - 1)
Let u(i) be the first derivative of -1/2*i**2 + 2 - 1/3*i - 2/9*i**3. Factor u(o).
-(o + 1)*(2*o + 1)/3
Let s(i) be the second derivative of 1/4*i**4 - i + 1/2*i**3 + 0 - 3*i**2. Let s(w) = 0. What is w?
-2, 1
Let i = 1/20 + -1/60. Let s(v) be the third derivative of 0*v - i*v**5 + 0 - 2/15*v**4 - 1/300*v**6 - 4/15*v**3 - v**2. Factor s(r).
-2*(r + 1)*(r + 2)**2/5
Suppose 3*t - 4*k = 20, -9 + 3 = -t + k. Let i(x) = 5*x**3 + 2*x**2 - 3*x. Let g(f) = -f - 2 + f**3 + 2. Let a(z) = t*g(z) - i(z). Determine r so that a(r) = 0.
-1, 0
Let l = 14 - 12. Suppose -u + 3 = m, 2*m = -4*u - u + 9. Factor m - 2*d - d**l - 4 + 1.
-(d + 1)**2
Let v(r) be the third derivative of r**5/210 + r**4/84 - 5*r**2. Solve v(o) = 0.
-1, 0
Let w(m) be the first derivative of m**4/18 - 4*m**3/27 - m**2/9 + 4*m/9 - 3. Factor w(o).
2*(o - 2)*(o - 1)*(o + 1)/9
Let r be (-8)/(-6) + (-35)/(1680/(-32)). Factor 1/4*u + 1/2 - 1/4*u**r.
-(u - 2)*(u + 1)/4
Let t(w) be the first derivative of 1 - 1/3*w**6 + 0*w**2 - 5/2*w**4 + 4/3*w**3 + 8/5*w**5 + 0*w. Factor t(i).
-2*i**2*(i - 2)*(i - 1)**2
Let t(h) = -3*h - 20. Let f be t(-8). Factor 0 + 2/5*z**5 + 0*z - z**f + 4/5*z**3 - 1/5*z**2.
z**2*(z - 1)**2*(2*z - 1)/5
Let a = 13 - 8. Suppose 4*p = a*p - 9. Solve 4*g**4 + 11*g**4 - 2*g**3 + p*g + 0*g**4 + 6 - 7*g**3 - 21*g**2 = 0.
-1, -2/5, 1
Let i be (-10)/5 - (2 + -7). Let b(v) be the second derivative of 4/3*v**i - 1/15*v**6 - v - v**4 - v**2 + 0 + 2/5*v**5. Solve b(p) = 0.
1
Let c(p) = 10*p**2 + 12*p + 26. Let o(i) = -3*i**2 - 4*i - 8. Let q(h) = 5*c(h) + 16*o(h). Factor q(l).
2*(l - 1)**2
Let m(q) = 4*q**3 + 36*q**2 + 29*q + 7. Let y(b) = -b**2. Let l(o) = -3*m(o) - 12*y(o). Solve l(c) = 0 for c.
-7, -1/2
Let y(m) be the second derivative of 0 + 0*m**2 + 0*m**5 - m + 1/1080*m**6 + 1/2*m**3 + 0*m**4. Let o(t) be the second derivative of y(t). Factor o(f).
f**2/3
Find u, given that 4/3*u**3 - 4/3*u + 0*u**2 + 0 = 0.
-1, 0, 1
Let v(p) be the first derivative of -1/25*p**5 - 4/5*p**2 + 0*p - 3/10*p**4 - 4/5*p**3 + 6. Solve v(r) = 0.
-2, 0
Let k(b) be the second derivative of b**8/1120 + b**7/336 + b**6/480 - 5*b**4/12 + b. Let r(m) be the third derivative of k(m). Factor r(o).
3*o*(o + 1)*(4*o + 1)/2
Let k = 510 - 510. Factor k*n**3 + 2*n**2 + 0 + 0*n - 9/2*n**4.
-n**2*(3*n - 2)*(3*n + 2)/2
Let l(q) = q**3 + 7*q**2 + 2*q + 6. Let h b