*f, -y + 35 = -c*f + 13. Factor -u**2 + 0*u + 0 - y*u + 4*u - 1.
-(u - 1)**2
Let a = 4 + -8. Let i = a + 6. Factor 4 - 1 + 4*x + 2*x**i - 1.
2*(x + 1)**2
Let p(h) be the second derivative of h**7/42 - h**6/6 - h**5/20 + 5*h**4/12 + 18*h. Let p(v) = 0. What is v?
-1, 0, 1, 5
Let m(b) = -b**2 + 6*b - 3. Let i be m(4). Suppose 5*c + 14 = 3*h, -i*h - c + 2 = -4*h. Factor 2*v - 5*v**h + 3*v**2 - v**4 - 2*v**4 + 0*v**3 - v**5 + 4*v**3.
-v*(v - 1)*(v + 1)**2*(v + 2)
Suppose 0 = -9*a - 19*a + 56. Determine o, given that -1/2*o**a - 1/2 + o = 0.
1
Factor 27/5*f**3 + 8/5 + 36/5*f + 54/5*f**2.
(3*f + 2)**3/5
Let x(z) be the first derivative of -3*z**4/2 + 8*z**3/3 + 11*z**2/3 + 4*z/3 + 5. Let x(i) = 0. Calculate i.
-1/3, 2
Let h(t) be the second derivative of t**6/60 - t**5/40 - 6*t. Factor h(v).
v**3*(v - 1)/2
Factor -14/13*m + 12/13 - 6/13*m**2.
-2*(m + 3)*(3*m - 2)/13
Let d = -2672/27 - -99. Let p(y) be the second derivative of y - 1/90*y**5 + 0*y**2 - d*y**3 - 1/27*y**4 + 0. Find u, given that p(u) = 0.
-1, 0
Find f, given that -6*f**2 + 15*f**3 - 6 - 15*f + 8*f**2 + 4*f**2 = 0.
-1, -2/5, 1
Let n(l) be the first derivative of l**7/840 + l**6/360 - 2*l**3 + 4. Let r(p) be the third derivative of n(p). Solve r(f) = 0.
-1, 0
Factor 8/5*w - 3/5*w**2 + 3/5.
-(w - 3)*(3*w + 1)/5
Factor -q**2 - 1/2*q**5 + 1/2 + 1/2*q**4 + q**3 - 1/2*q.
-(q - 1)**3*(q + 1)**2/2
Let s = 1 + 1. Let r(i) = 4*i**2 + 2*i - 2. Let k(n) = -n**2 + n + 1. Let p = -11 - -12. Let x(l) = p*r(l) + s*k(l). Factor x(d).
2*d*(d + 2)
Let a(h) be the first derivative of -h**4/10 - 2*h**3/15 + 2*h**2/5 - 9. Factor a(p).
-2*p*(p - 1)*(p + 2)/5
Let h(x) = x**5 + 7*x**4 + x**3 + 3. Let b(u) = -u**5 - 13*u**4 - u**3 - 5. Let r(a) = 6*b(a) + 10*h(a). Determine v, given that r(v) = 0.
0, 1
Factor 3/7*u + 0*u**2 - 3/7*u**3 + 0.
-3*u*(u - 1)*(u + 1)/7
Let u be (-2)/8 - (-18324)/(-240). Let o = u + 77. Factor -2/5*t + o*t**2 + 0.
2*t*(t - 1)/5
Let h(s) be the third derivative of -s**8/336 - s**7/70 - s**6/120 + s**5/20 + s**4/12 - 18*s**2. Determine g, given that h(g) = 0.
-2, -1, 0, 1
Let f be (-2)/9 + (-1833)/(-27). Let v = -67 + f. Factor v*c**5 - 2/3*c**4 + 2/3*c**2 - 2/3*c**3 + 0*c + 0.
2*c**2*(c - 1)**2*(c + 1)/3
Suppose 33*d - 27*d - 12 = 0. Factor -1/3*c - 1/3*c**d + 1/3 + 1/3*c**3.
(c - 1)**2*(c + 1)/3
Let i = -9 - 11. Let u be ((-12)/9)/(i/6). What is c in 0*c**2 + 0 + u*c**3 - 2/5*c = 0?
-1, 0, 1
Let c(l) be the third derivative of -l**6/30 - 2*l**5/15 + 2*l**2. Factor c(h).
-4*h**2*(h + 2)
Let z(a) be the first derivative of a**4/4 + 5*a**3/3 - a**2 - 3*a + 5. Let c(h) = h**3 + 6*h**2 - 3*h - 4. Let s(l) = -3*c(l) + 4*z(l). Factor s(x).
x*(x + 1)**2
Let h(m) = -2*m + 6. Let z(t) = -t + 3. Let o(a) = 3*h(a) - 5*z(a). Let x be o(0). Factor -2*j**2 + 3*j**2 - j**x + 3*j + 0*j**3 - j**4 - 2*j.
-j*(j - 1)*(j + 1)**2
Let t = -27142539 - -45110901191/1662. Let l = t + 2/277. Factor -i**2 - 2/3*i - 1/6*i**4 + l*i**3 + 4/3.
-(i - 2)**3*(i + 1)/6
Let i(z) be the third derivative of -1/80*z**5 + 0*z**4 + 0*z + 0*z**3 + 0 + 4*z**2. Solve i(w) = 0.
0
Let u(m) = -5*m**4 - 15*m**3 + 15*m**2 - 10*m - 15. Let o(n) = -n**3 - 1. Let c(q) = 15*o(q) - u(q). Factor c(t).
5*t*(t - 1)**2*(t + 2)
Let k(z) be the first derivative of -z**6/33 + z**4/22 - 14. Determine g, given that k(g) = 0.
-1, 0, 1
Factor -4/11 - 2/11*w + 2/11*w**2.
2*(w - 2)*(w + 1)/11
Let i be (-5)/(-6) + (-42)/(-63). Factor i*b + 3/2*b**5 + 9*b**3 + 6*b**2 + 0 + 6*b**4.
3*b*(b + 1)**4/2
Let n be -1*(-21)/(-30)*-4. Find f, given that 0*f + 0 - n*f**5 + 4/5*f**4 - 4/5*f**2 + 14/5*f**3 = 0.
-1, 0, 2/7, 1
Let q = -73/2 + 37. Factor -1 + 1/2*i + q*i**2.
(i - 1)*(i + 2)/2
Let b(h) be the second derivative of 8*h**6/15 - 3*h**5/5 - h**4/3 - 29*h. Factor b(r).
4*r**2*(r - 1)*(4*r + 1)
Let o(y) be the first derivative of 2*y**5/5 + 3*y**4 + 8*y**3 + 8*y**2 + 16. Factor o(r).
2*r*(r + 2)**3
Let o(u) be the first derivative of u**5/210 + 2*u**4/21 + 16*u**3/21 - 7*u**2/2 + 2. Let s(n) be the second derivative of o(n). Find r such that s(r) = 0.
-4
Let l(j) = j - 5. Let n be l(8). Let d = 3 - n. Suppose -2/5*i**3 - 2/5*i**2 + 2/5*i**4 + 2/5*i + d = 0. Calculate i.
-1, 0, 1
Let u be -2 - 0 - (5 - (-553)/(-77)). Factor 2/11*q - 4/11 + u*q**2.
2*(q - 1)*(q + 2)/11
Let d(u) be the third derivative of -u**6/180 + u**5/30 - u**4/12 + u**3/9 - 5*u**2. Factor d(m).
-2*(m - 1)**3/3
Let w(m) be the third derivative of -m**8/1680 + m**7/840 + m**6/360 - m**5/120 + m**3/6 - 5*m**2. Let h(f) be the first derivative of w(f). Factor h(j).
-j*(j - 1)**2*(j + 1)
Let s = 121 - 119. Let h(u) be the second derivative of 0 - 1/8*u**3 - 4*u + 1/4*u**s + 1/80*u**5 + 0*u**4. Factor h(v).
(v - 1)**2*(v + 2)/4
Let p(y) be the third derivative of 0*y + 0*y**5 + 0 + 0*y**7 + 1/20*y**6 + 0*y**3 - 1/8*y**4 - 1/112*y**8 - 2*y**2. Factor p(c).
-3*c*(c - 1)**2*(c + 1)**2
Factor 14/3*o**2 - 4/3 - 10/3*o.
2*(o - 1)*(7*o + 2)/3
Let f = 527/3 + -165. Factor 6 + f*h**2 + 16*h.
2*(4*h + 3)**2/3
Let x(q) be the second derivative of q**5/5 - 2*q**3 - 4*q**2 + 8*q. Solve x(c) = 0 for c.
-1, 2
Let n(o) be the third derivative of o**6/960 + o**5/160 + 4*o**2 + 4*o. Suppose n(y) = 0. Calculate y.
-3, 0
Suppose 0 = 562*p - 559*p - 6. Factor 2/5 - 2/5*y**p - y + y**3.
(y - 1)*(y + 1)*(5*y - 2)/5
Let w(q) = 2*q**2 + 3*q + 1. Let l be w(-2). Let b(f) = 5*f - 30. Let k be b(7). Factor 3*v - 2*v**3 - k + l*v + 1.
-2*(v - 1)**2*(v + 2)
Let f(o) = -o + 11. Let h(v) = 1. Let u(n) = f(n) - 3*h(n). Let a be u(6). Factor -k + 0 + k**4 + 2*k**3 + 5*k**a - 2 - 4*k**4 - k**3.
-(k - 1)**2*(k + 1)*(3*k + 2)
Let q(w) = -10*w**2 + 16*w + 26. Let n(d) = -d**3 - d + 16. Let k be n(0). Let a(m) = 2*m**2 - 3*m - 5. Let s(o) = k*a(o) + 3*q(o). Factor s(t).
2*(t - 1)*(t + 1)
Let c = -520 - -522. Suppose -4/11*h - 2/11 + 4/11*h**3 + 2/11*h**c = 0. Calculate h.
-1, -1/2, 1
Let k(g) be the second derivative of -3*g**6/20 - 2*g**5/5 + 13*g**4/24 + 4*g**3/3 - g**2 + 2*g. Find f such that k(f) = 0.
-2, -1, 2/9, 1
Let a = -5 - -7. Let p(x) be the first derivative of -1/10*x**4 + 2/5*x - 1 - 3/5*x**a + 2/5*x**3. Let p(n) = 0. Calculate n.
1
Let i(p) be the first derivative of 3*p**5/5 + 3*p**4/2 + p**3 + 18. Factor i(h).
3*h**2*(h + 1)**2
Let t(z) be the third derivative of -z**8/1008 + z**7/210 - z**6/180 - 3*z**2. Factor t(f).
-f**3*(f - 2)*(f - 1)/3
Let l = 18 - 14. Let d(t) be the first derivative of 0*t**2 + 0*t + 2/21*t**6 - 2 - 1/7*t**l - 2/35*t**5 + 2/21*t**3. Suppose d(f) = 0. What is f?
-1, 0, 1/2, 1
Let w(o) be the first derivative of -o**5/40 + 3*o**4/32 - o**3/8 + o**2/16 - 10. Factor w(l).
-l*(l - 1)**3/8
Suppose 0 = 4*r - 2*o - 12, r - 4*o - 12 = -4*r. Let n(i) = i**2 - 4*i + 3. Let q be n(3). Solve 2/5*h**2 + 2/5*h**r - 4/5*h**3 + 0 + q*h = 0 for h.
0, 1
Suppose -24 + 228*o**4 - 342*o**2 + 252*o**3 - 280*o**2 + 106*o - 66*o**4 + 126*o = 0. Calculate o.
-3, 2/9, 1
Let 5/2*j**2 - 5/6*j**4 - 5/6*j**3 + 5/6*j - 5/3 = 0. What is j?
-2, -1, 1
Let l(i) be the second derivative of 0 - 1/30*i**5 - 2*i - 1/3*i**3 - 1/6*i**4 - 1/3*i**2. Factor l(u).
-2*(u + 1)**3/3
Factor 1/2*l**2 - 1/2*l**4 - 1/3*l + 0 + 1/6*l**3 + 1/6*l**5.
l*(l - 2)*(l - 1)**2*(l + 1)/6
Let -8/3*h**4 + 0*h + h**5 + 2/3*h**2 + 0 + h**3 = 0. What is h?
-1/3, 0, 1, 2
Let i(c) be the second derivative of -c**3/6 - 7*c**2/2 - 4*c. Let h be i(-10). Factor 4/3*q**2 - 2/3*q + 0 - 2/3*q**h.
-2*q*(q - 1)**2/3
Let w(h) be the second derivative of 5*h**2 + 4*h + 0 + 7/4*h**4 + 3/2*h**3. Let l(i) = 4*i**2 + 2*i + 2. Let v(r) = -11*l(r) + 2*w(r). Factor v(t).
-2*(t + 1)**2
Let h = 2461/15 + -164. Let k(d) be the second derivative of -1/30*d**4 + 1/5*d**2 + h*d**3 + 0 - 2*d - 1/50*d**5. Factor k(c).
-2*(c - 1)*(c + 1)**2/5
Let b(j) = j**5 - j**3 - j**2 - j - 1. Let n be 9/12*(5 + -1). Let x(h) = h**3 - h**2 - 2*h - 1. Let y(c) = n*x(c) - 3*b(c). Let y(l) = 0. What is l?
-1, 0, 1
Let y be (-14)/(-63) + (-1)/(-36). Factor -1/4*c**2 + 0 + 0*c**3 + y*c**4 + 0*c.
c**2*(c - 1)*(c + 1)/4
Suppose 2*u - 7*b = -3*b, 0 = -4*u + 4*b. Factor -2/9*m**2 + u - 4/9*m.
-2*m*(m + 2)/9
Let o(h) = 3*h**2 - 5*h + 6. Let a be o(5). Let w be 4/10*70/a. Factor 1/2*m**4 + 0*m**2 - w*m**5 + 0*m + 0*m**3 + 0.
-m**4*(m - 1)/2
Let j = -10 + 16. Let l = -4 + j. Let 3*v**3 - v**3 - 3*v + 1 + l*v**2 -