, -1, 0, 1
Suppose 9*p + 1 - 1 = 0. Let y(h) be the third derivative of -2*h**2 + 0*h - 1/15*h**5 - 1/6*h**3 + p + 5/24*h**4. Factor y(v).
-(v - 1)*(4*v - 1)
Let d = -2747950691/2248565 - 14/204415. Let f = d - -1223. Suppose f*s**3 - 6/11*s**4 + 0*s + 0 - 4/11*s**2 = 0. What is s?
0, 2/3, 1
Suppose -4*f - 4*p + 4 = -0, -3 = -3*p. Suppose 5*q + 1 = 3*m, f = m + 5*q - 3 - 4. Factor -j**m + 2*j - j - 2*j + 1 + j**3.
(j - 1)**2*(j + 1)
Let u(d) be the second derivative of 2/75*d**6 + 1/10*d**2 + 0 - 1/12*d**4 - 3/100*d**5 - 4*d + 1/10*d**3. Factor u(s).
(s - 1)**2*(s + 1)*(4*s + 1)/5
Let a(o) be the second derivative of -o**4/48 + o**3/24 - 4*o. Let a(k) = 0. What is k?
0, 1
Let b be (-1)/((-1)/2) + (-15)/(-5). Let h(u) be the first derivative of 2/3*u**3 - 8/3*u + 2/15*u**b + 2/3*u**4 + 2 - 4/3*u**2. Let h(t) = 0. What is t?
-2, -1, 1
Let u(n) = -7*n**4 + 5*n**3 + 9*n**2 - 17*n - 2. Let c(d) = 20*d**4 - 14*d**3 - 27*d**2 + 50*d + 5. Let f(y) = 6*c(y) + 17*u(y). Factor f(v).
(v - 1)**3*(v + 4)
Let c(d) = 2*d**2 + 2*d - 3. Let g(o) = -o**2 - 9*o - 6. Let b be g(-8). Let r(y) = 0*y**2 - y + 2*y - 1 + y**b. Let n(q) = 2*c(q) - 6*r(q). Factor n(h).
-2*h*(h + 1)
Let c = -22 - -32. Let k = c + -6. Factor -5*l**2 - k*l - 2*l**2 + 4*l**2 - 2*l.
-3*l*(l + 2)
Let a = -4 + 7. Factor -6*k**3 + k**2 + a*k**2 + 0*k**2 + 2*k**3.
-4*k**2*(k - 1)
Let f(a) be the second derivative of 1/90*a**5 - 5/27*a**3 + 2/9*a**2 - 1/135*a**6 + 1/18*a**4 + 0 + a. Factor f(l).
-2*(l - 1)**3*(l + 2)/9
Suppose 0 = -5*q + 11 + 9, 3*q - 16 = w. Let t be w + (12/4 - -4). Factor 2/5*a + 0 + 4/5*a**2 + 2/5*a**t.
2*a*(a + 1)**2/5
Let w(f) = -f + 3. Let k be w(6). Let c = k + 5. Let 4*o**3 - 2*o**3 - c*o + o**2 - 3*o**2 + 2*o**4 = 0. What is o?
-1, 0, 1
Let z(c) be the third derivative of c**5/150 - 4*c**3/15 + 23*c**2. Determine h, given that z(h) = 0.
-2, 2
Let q(h) be the first derivative of -1/12*h**3 - 1/4*h**2 - 1/4*h - 4. Factor q(r).
-(r + 1)**2/4
Let j = 3361/8 - 420. Suppose 1/8*k**2 + 0 - 1/8*k**4 + j*k - 1/8*k**3 = 0. What is k?
-1, 0, 1
Determine u, given that 3/5 + u - 2/5*u**2 = 0.
-1/2, 3
Let y be (-2)/(-14) + 90/1134. Let q = 8/5 + -52/45. Factor -y*t**2 - q*t - 2/9.
-2*(t + 1)**2/9
Let j(c) be the first derivative of -8*c**5/5 - 5*c**4 - 4*c**3/3 + 4*c**2 - 10. Factor j(v).
-4*v*(v + 1)*(v + 2)*(2*v - 1)
Let s(j) = -3*j**2 + 5*j + 3. Suppose -5*h = -7*h + 4. Let u(f) = -2*f**2 + 2*f + 2. Let d(t) = h*s(t) - 5*u(t). Factor d(p).
4*(p - 1)*(p + 1)
Let u(i) be the first derivative of -i**6/6 - 11*i**5/15 - 5*i**4/4 - i**3 - i**2/3 - 2. Let u(t) = 0. Calculate t.
-1, -2/3, 0
Let a(q) = -10*q**3 - 54*q**2 - 36*q - 34. Let g(u) = 2*u**3 + 11*u**2 + 7*u + 7. Let x(z) = -3*a(z) - 14*g(z). Factor x(p).
2*(p + 1)**2*(p + 2)
Let s = -3/2 + 7/4. Factor 1/4*u**2 - s*u**3 + 3/4 + 5/4*u.
-(u - 3)*(u + 1)**2/4
Solve -6*b**2 - 2*b**2 - 4*b**5 + 18*b**3 + 0*b**2 - 6*b**3 = 0.
-2, 0, 1
Let n = -146 - -148. Let -11/6*j + 3/2*j**3 + 7/3*j**n + 1/3 - 3*j**4 = 0. What is j?
-1, 1/3, 1/2, 2/3
Let i(v) be the third derivative of -v**7/350 - v**6/200 + v**5/20 - 3*v**4/40 - 24*v**2. Factor i(w).
-3*w*(w - 1)**2*(w + 3)/5
Let b(k) be the second derivative of -k**5/5 + 2*k**4/3 + 2*k**3/3 - 4*k**2 - 5*k. Let b(j) = 0. What is j?
-1, 1, 2
Suppose 3*h = 5*h. Factor -2/5*w**2 - 2/5*w + h.
-2*w*(w + 1)/5
Suppose 20 = -5*u + 20. Let r(j) be the first derivative of -1/2*j**4 + u*j**2 - 1/5*j**5 + 0*j - 1/3*j**3 + 2. Factor r(m).
-m**2*(m + 1)**2
Factor 1/3*s**4 + 4/3 - 2/3*s**3 + 4/3*s - s**2.
(s - 2)**2*(s + 1)**2/3
Factor -2 + 0 + 3*w**2 - w - 4*w**3 + 0*w**3 - w**4 + 5*w**3.
-(w - 2)*(w - 1)*(w + 1)**2
Let x(y) be the third derivative of -y**8/840 + y**7/525 + y**6/300 - y**5/150 - 4*y**2. Find f such that x(f) = 0.
-1, 0, 1
Let u = -12 + 14. Let f(w) be the first derivative of 1/6*w**3 + 2*w - 1 + w**u. Factor f(t).
(t + 2)**2/2
Suppose 2*m + 26 = 18. Let r(x) = -x**2 + 2*x - 4. Let h(o) = -2*o**2 + 4*o - 9. Let q(b) = m*h(b) + 9*r(b). Find v such that q(v) = 0.
0, 2
Let r(z) = -2*z - 20. Let i be r(-10). Factor 5/2*u**5 + u**2 + 0*u + 6*u**4 + 9/2*u**3 + i.
u**2*(u + 1)**2*(5*u + 2)/2
Let p(u) be the second derivative of 2*u**7/63 - 2*u**6/45 - u**5/15 + u**4/9 - 7*u. Determine k so that p(k) = 0.
-1, 0, 1
Determine r, given that 1/2*r**4 + 0*r**3 + 0 - r - 3/2*r**2 = 0.
-1, 0, 2
Suppose 3*o - 32 = 5*k, 0 = 24*o - 29*o - 3*k + 8. Factor -8*m - 1/2*m**o + 2*m**3 + 0*m**2 + 8.
-(m - 2)**3*(m + 2)/2
Let x be (93/42 + -2)*(-8)/(-6). Determine s, given that 0 + 0*s + x*s**2 = 0.
0
Let w(y) be the first derivative of y**3 + 3*y**2/2 - 18*y + 23. Factor w(x).
3*(x - 2)*(x + 3)
Let l(t) = t**3 + 7*t**2 - 5*t - 8. Let d be l(-7). Suppose -4*n + 8 = 4*o, 2*n = 5*o - d + 3. Let 2/3 - 4/3*u**2 + 2/3*u**o + 0*u + 0*u**3 = 0. What is u?
-1, 1
Let z(g) = 2*g**4 - 4*g + 6. Let x(r) = 3*r**4 + r**3 - 8*r + 11. Let n(q) = -4*x(q) + 7*z(q). Factor n(f).
2*(f - 1)**3*(f + 1)
Factor -1/3*l - 6*l**2 + 0.
-l*(18*l + 1)/3
Let r(y) = 5*y**4 - 6*y**3 - 3*y**2 - 4*y + 4. Let u(k) = 9*k**4 - 11*k**3 - 5*k**2 - 7*k + 7. Let m(v) = 7*r(v) - 4*u(v). Factor m(x).
-x**2*(x - 1)**2
Suppose -2*t + 13 - 7 = 0. Factor t*y**2 + 2*y**3 + 2*y + 1/2*y**4 + 1/2.
(y + 1)**4/2
Let g(i) be the second derivative of 0*i**2 + 6*i + 0 - 1/14*i**7 + 9/20*i**5 + 1/5*i**6 - 2*i**3 - i**4. Determine q, given that g(q) = 0.
-1, 0, 2
Determine u so that -4/3*u**2 + 8/3 + 4*u**3 - 4*u - 4/3*u**4 = 0.
-1, 1, 2
Let h = 12 + -35/3. Let b(w) be the first derivative of -w**2 + w + 1 + h*w**3. Factor b(a).
(a - 1)**2
Factor -5*y**2 + 0 - 5/3*y**4 + 5/3*y**5 + 0*y - 25/3*y**3.
5*y**2*(y - 3)*(y + 1)**2/3
Let l(z) be the second derivative of -6*z + 0 + 1/3*z**3 - 1/10*z**5 + 1/6*z**6 - 5/12*z**4 + 0*z**2. Determine x, given that l(x) = 0.
-1, 0, 2/5, 1
Suppose 0*w + 4/3*w**2 + 0 = 0. Calculate w.
0
Let a(x) be the third derivative of -7*x**7/18 - 203*x**6/360 + 13*x**5/30 + 7*x**4/18 - 4*x**3/9 + 11*x**2. Find q, given that a(q) = 0.
-1, -2/5, 2/7
Let u(t) = -t**3 + 8*t**2 + 8*t + 9. Let r be u(9). What is z in -3/2*z**2 + 9/4*z**3 + 1/4*z - z**4 + r = 0?
0, 1/4, 1
Let f(x) = 0*x + 2*x + x + x + 3 + 2*x**2. Let t(q) = 9*q**2 + 17*q + 13. Let s be (6/8)/((-1)/(-8)). Let y(j) = s*t(j) - 26*f(j). Factor y(c).
2*c*(c - 1)
Let k be (-2)/6 + 106/3. Let m be 6/(-10) + 31/k. Factor -2/7*h**4 + 2/7*h**2 + 0 - m*h + 2/7*h**3.
-2*h*(h - 1)**2*(h + 1)/7
Find l, given that 8*l**2 - 3*l**2 + 25*l - 13 + 0*l**2 - 17 = 0.
-6, 1
Let d(x) be the first derivative of -14*x**5/45 + 5*x**4/3 - 86*x**3/27 + 8*x**2/3 - 8*x/9 - 4. Suppose d(v) = 0. What is v?
2/7, 1, 2
Let z(p) be the third derivative of -p**7/126 - 13*p**6/360 - p**5/45 + p**4/18 - 13*p**2. Factor z(q).
-q*(q + 1)*(q + 2)*(5*q - 2)/3
Suppose 0 = -0*g - g + 17. Suppose -2*l = -4*p + 46, 2*l - g = -p - 2*p. Let -8*a**2 - 2*a + p*a + 2 - a = 0. Calculate a.
-1/4, 1
Suppose 1 = 5*m - 4. Let r(g) be the first derivative of -1/10*g**4 + 2/5*g**3 - 2/25*g**5 + m + 4/5*g + g**2. Factor r(x).
-2*(x - 2)*(x + 1)**3/5
Let m(n) = -15*n**2 + 9*n + 2. Let w(z) = -1. Let s(q) = -m(q) + 4*w(q). Suppose s(h) = 0. Calculate h.
-2/5, 1
Factor 38*f - 2*f**2 - 2*f - 109 + 85 - 138.
-2*(f - 9)**2
Factor -5*f**4 + 3/2*f**5 + 0*f**2 + 1 + 5*f**3 - 5/2*f.
(f - 1)**4*(3*f + 2)/2
Let u(r) be the second derivative of -8*r + 1/18*r**4 + 1/3*r**3 + 0 + 2/3*r**2. Find q such that u(q) = 0.
-2, -1
Let c(u) be the third derivative of u**5/15 + u**4 - 14*u**3/3 - 20*u**2. Solve c(q) = 0.
-7, 1
Let p(m) be the third derivative of -m**6/210 - 2*m**5/105 + m**4/42 + 4*m**3/21 - 3*m**2. Factor p(h).
-4*(h - 1)*(h + 1)*(h + 2)/7
Suppose 4*i - 8*i - 17 = -3*d, 5*i + 10 = 0. Let s(j) be the first derivative of -2/7*j**2 + 2/21*j**d + 2 + 2/7*j. Factor s(r).
2*(r - 1)**2/7
Let t(d) be the first derivative of -d**3/3 - 3*d**2/2 - 2*d + 1. Factor t(k).
-(k + 1)*(k + 2)
Let s be ((-18)/42)/(2/(-14)). Factor 2/5*o + 0 + 1/5*o**s + 3/5*o**2.
o*(o + 1)*(o + 2)/5
Let j(f) = 3*f**3 + 2*f**2 - 2*f + 6. Let k(b) = -7*b**3 - 5*b**2 + 5*b - 13. Let h(n) = -13*j(n) - 6*k(n). Find s, given that h(s) = 0.
-2, 0, 2/3
Let g = 6 - 4. Let v = 4 - g. Determine q, given that 5*q**2 + 1 - 2 - 4*q**v = 0.
-1, 1
Let s = -566 - -33961/60. Let c(t) be the third derivative of 0 + 