 + 0*w. Factor f(o).
-2*o*(o - 1)*(o + 1)*(2*o + 1)
Let y(k) = -15*k**3 + 26*k**2 + 5*k - 10. Let c(t) = -165*t**3 + 285*t**2 + 55*t - 110. Let i(n) = 6*c(n) - 65*y(n). Solve i(h) = 0 for h.
-2/3, 1
Let r be 5 + (23/(-3) - -3). Factor 0 - 1/3*a + r*a**2.
a*(a - 1)/3
Let w(x) be the third derivative of 0*x + 0*x**5 + 0*x**3 + 8*x**2 + 1/1020*x**6 + 0 - 1/204*x**4. Let w(u) = 0. What is u?
-1, 0, 1
Let y be -1 + 3 + (5 - 5). Factor -1/2 + 1/4*l**3 - 1/4*l + 1/2*l**y.
(l - 1)*(l + 1)*(l + 2)/4
Let b(o) be the second derivative of 3*o + 1/90*o**6 + 0 + 0*o**3 + 1/30*o**5 + 0*o**4 - 1/126*o**7 + 0*o**2. Factor b(n).
-n**3*(n - 2)*(n + 1)/3
Let n(z) be the first derivative of -3*z**4/2 - 10*z**3/3 - z**2 + 2*z + 54. Factor n(h).
-2*(h + 1)**2*(3*h - 1)
Factor 3/7*y**3 + 6/7*y**2 + 0*y - 3/7*y**4 + 0.
-3*y**2*(y - 2)*(y + 1)/7
Determine c so that 0 + 0*c + 3/8*c**2 - 3/8*c**4 + 0*c**3 = 0.
-1, 0, 1
Let b(c) be the third derivative of -c**8/840 - c**7/1260 + c**6/270 - 2*c**3/3 + 4*c**2. Let f(v) be the first derivative of b(v). Factor f(w).
-2*w**2*(w + 1)*(3*w - 2)/3
Let x = -21 + 42. Let v be 0 + (x/9)/7. Find i such that 1/6 + 0*i + 0*i**3 + 1/6*i**4 - v*i**2 = 0.
-1, 1
Let r be (3/2)/(30/40). Let u(b) be the first derivative of 4*b**r + 4*b - 7/3*b**3 - 3 - 5/4*b**4. Determine g, given that u(g) = 0.
-2, -2/5, 1
Find z such that 15/2*z**5 + 0*z - 15/2*z**3 - 3*z**2 + 0 + 3*z**4 = 0.
-1, -2/5, 0, 1
Let v be 8/12*(0 + -2 + 5). Let n(i) be the second derivative of 1/24*i**4 - 2*i + 1/40*i**5 - 1/12*i**3 + 0 - 1/4*i**v. Factor n(h).
(h - 1)*(h + 1)**2/2
Let w(c) be the third derivative of -3*c**6/5 + 23*c**5/15 - c**4/2 - 4*c**3/3 + 8*c**2. Factor w(z).
-4*(z - 1)*(2*z - 1)*(9*z + 2)
Let d(c) be the first derivative of -12/11*c**2 - 2/55*c**5 - 26/33*c**3 - 8/11*c - 5 - 3/11*c**4. Factor d(z).
-2*(z + 1)**2*(z + 2)**2/11
Let y(n) be the second derivative of 0*n**2 - 3*n + 1/10*n**5 + 1/9*n**4 + 0 + 2/45*n**6 + 1/18*n**3 + 1/126*n**7. Factor y(i).
i*(i + 1)**4/3
Let a(g) = -3*g - 1. Let s(u) be the second derivative of u**4/12 - u**3/2 - u**2/2 + 3*u. Let w(j) = 3*a(j) - 4*s(j). Factor w(h).
-(h - 1)*(4*h + 1)
Suppose 2*t + 3*t - 3*b = 344, -5*t + 352 = b. Let o = t + -348/5. Factor -6/5*p - o + 6/5*p**3 + 2/5*p**2.
2*(p - 1)*(p + 1)*(3*p + 1)/5
Let l = -17 - -20. Suppose 6*h**2 - 2 + 3 - 4*h**l - 3 = 0. Calculate h.
-1/2, 1
Let k(h) = -h + 1. Let z(o) = 2*o**2 - 6*o - 2. Let b(y) = -6*k(y) + z(y). Factor b(r).
2*(r - 2)*(r + 2)
Let c(d) be the third derivative of 0*d**3 + 0*d - 3*d**2 + 0 + 1/100*d**5 + 1/20*d**4. Suppose c(l) = 0. What is l?
-2, 0
Let h(q) = 4*q**2 - 2*q + 1. Let y be h(1). Suppose 0 = 4*z + 5*m - y, 4*z + 3*m + 5 = 10. Factor 2/7*x**z + 0 - 2/7*x.
2*x*(x - 1)/7
Let m(o) be the second derivative of -o**6/60 - 3*o**5/20 - 13*o**4/24 - o**3 - o**2 - 11*o. Factor m(p).
-(p + 1)**2*(p + 2)**2/2
Let p(d) be the second derivative of d**7/252 + 7*d**6/180 + 2*d**5/15 + d**4/9 - 4*d**3/9 - 4*d**2/3 + 5*d. Factor p(w).
(w - 1)*(w + 2)**4/6
Let c(j) = -2*j**3 + 6*j**2 + 3*j + 5. Let s(m) = -9*m**3 + 24*m**2 + 12*m + 21. Let z(g) = -21*c(g) + 5*s(g). Factor z(d).
-3*d*(d + 1)**2
Let k be (175/(-40) - -4) + (-2)/(-5). Let x(r) be the third derivative of k*r**5 + 0*r + 0 - 1/4*r**4 - 2*r**2 + r**3. Solve x(q) = 0.
2
Let b = -2/125 + 129/250. Factor -b*w**4 + 0 + 0*w + 0*w**2 + 3/2*w**3.
-w**3*(w - 3)/2
Let u(z) be the first derivative of -3 + 2*z + 2/3*z**3 + 2*z**2. Factor u(h).
2*(h + 1)**2
Let v(i) be the first derivative of -i**5/10 - i**4/4 - 23. Factor v(s).
-s**3*(s + 2)/2
Let c be ((-3)/8*-4)/60. Let d(p) be the second derivative of c*p**6 + 3/8*p**2 + p - 3/20*p**5 - 1/2*p**3 + 3/8*p**4 + 0. What is w in d(w) = 0?
1
Let k be (-2)/(-40)*40/16. Let u(j) be the second derivative of k*j**4 - 3*j - 3/4*j**2 + 0 + 0*j**3. Let u(y) = 0. What is y?
-1, 1
Let y(w) be the third derivative of -1/1344*w**8 + 0 - 1/480*w**6 - 3*w**2 + 1/420*w**7 + 0*w**5 + 0*w**4 + 0*w**3 + 0*w. Determine s so that y(s) = 0.
0, 1
Suppose 2*j = 5*j - 21. Suppose -3*f - 1 = -j. Find p such that 2 - 10*p**3 - 4*p**f + 5 + 10*p - 3 = 0.
-1, -2/5, 1
Suppose -c = 3*c. Suppose 5*p = -2*o + 8, c*o - 2*o - 3*p + 8 = 0. Factor -2/7*y**3 + 0*y**2 + 0*y + 0 - 2/7*y**o.
-2*y**3*(y + 1)/7
Let g(v) = v**2 - 7*v - 4. Let i(f) = -f**2 + 8*f + 4. Let m(r) = 7*g(r) + 6*i(r). Let x(c) = 3. Let l(w) = 3*m(w) + 4*x(w). Factor l(k).
3*k*(k - 1)
Let x = 1011/1757 - 1/251. Factor x - 6/7*h + 2/7*h**2.
2*(h - 2)*(h - 1)/7
Find a such that -12/11*a - 2/11*a**2 - 18/11 = 0.
-3
Let a(v) be the third derivative of 0*v + 1/210*v**5 + 0 + 2*v**2 - 1/28*v**4 + 1/140*v**6 - 2/21*v**3 + 1/735*v**7. What is t in a(t) = 0?
-2, -1, 1
Let u = 337/24 + -14. Let i(q) be the third derivative of -1/240*q**5 + u*q**3 + 0 + 0*q - 1/480*q**6 + 2*q**2 + 1/96*q**4. Factor i(a).
-(a - 1)*(a + 1)**2/4
Let r(p) = -3*p - 1. Let j be r(-6). Let u = -17 + j. Factor 2/3*d**5 + u + 2/3*d**3 + 0*d + 0*d**2 - 4/3*d**4.
2*d**3*(d - 1)**2/3
Let g = -10 - -12. Let o(h) be the first derivative of 0*h + 0*h**2 - g + 1/9*h**3. Factor o(i).
i**2/3
Suppose 0 = h - 2*c + 10, -1 + 11 = 4*h + 2*c. Factor h*m**4 + 3*m**2 - 2*m**3 + 2*m**4 + 2*m - 5*m**2 + 0*m**2.
2*m*(m - 1)**2*(m + 1)
Suppose -9 = -3*p, -r + 5*r + 5*p - 27 = 0. Let a(x) be the first derivative of 2/3*x**r + 6/5*x**5 + 2 + 0*x**2 + 1/3*x**6 + 0*x + 3/2*x**4. Factor a(q).
2*q**2*(q + 1)**3
Suppose -z = 2*z - 12. Let y be ((-80)/(-32))/(1 + z). Factor -y*l**2 - 1/2*l + 1.
-(l - 1)*(l + 2)/2
Let i(v) be the second derivative of -v**7/21 - 2*v**6/15 + v**5/10 + v**4/3 + 17*v. Suppose i(j) = 0. Calculate j.
-2, -1, 0, 1
Let p(z) = 8*z**5 - 4*z**3 + 4*z**2 + 8*z - 4. Let n(x) = 7*x**5 - 5*x**3 + 3*x**2 + 7*x - 3. Let j(u) = -4*n(u) + 3*p(u). Solve j(d) = 0.
-1, 0, 1
Let c(o) = o**2 - 4*o + 3. Let j be c(3). Let q = 12 + -12. Solve j + 2/3*i**5 + 2/3*i + q*i**4 - 4/3*i**3 + 0*i**2 = 0 for i.
-1, 0, 1
Let a(p) = -p. Let y be a(4). Let l be 3 + ((-84)/(-9))/y. Suppose 14/3*h**2 + 8/3*h**3 + 4/3*h - l = 0. What is h?
-1, 1/4
Suppose 0 = 2*n + 3 - 11. Factor -2 - 2*a - a**2 + 3*a**3 - 2 + n.
a*(a - 1)*(3*a + 2)
Find u such that 0*u**2 - 2/7*u**3 + 0*u + 0 = 0.
0
Let -12/5*b + 6/5*b**2 - 1/5*b**3 + 8/5 = 0. Calculate b.
2
Let k = 0 + 5. Suppose 2*x + 2*l - 6 = 0, 7 = 3*x + k*l - 0*l. Factor f - 1 - 1 - f**2 + 0*f**2 + x.
-(f - 2)*(f + 1)
Let w be 15/(-9) + 1 - 10/(-15). Factor -2/3*k**3 + 0 + 0*k**2 + 1/3*k**4 + w*k.
k**3*(k - 2)/3
Suppose -5*z - 3 = 2*m - 3*m, -5*m + 15 = -z. Suppose -3*y**4 - 3 - 18*y**2 + 12*y**m + 12*y + 4 - 4 = 0. Calculate y.
1
Let m(c) be the first derivative of c**8/1176 - c**7/735 + 2*c**2 + 4. Let r(t) be the second derivative of m(t). Factor r(j).
2*j**4*(j - 1)/7
Let u be (-3)/(-4) - (-195)/(-12). Let j = u - -163/10. What is l in -j*l**3 + 2/5*l**4 + 2/5*l**2 + 0 + 0*l = 0?
0, 1
Let t be 4/(-8)*(-6 - 0). Let p(b) = -6*b**2 - 3*b + 3. Let q(u) = u**3 + 12*u**2 + 6*u - 5. Let k(o) = t*q(o) + 5*p(o). Factor k(c).
3*c*(c + 1)**2
Let o(i) be the third derivative of -i**8/80640 + i**6/2880 + i**5/15 - i**2. Let r(c) be the third derivative of o(c). Find d, given that r(d) = 0.
-1, 1
Let w be 5/20 + (-3)/12. Suppose w = r + 4*r - 20. Solve -24/5*k**2 - 6/5*k**r + 12/5*k - 2/5 + 4*k**3 = 0.
1/3, 1
Let f(w) be the first derivative of 1/4*w**5 - 1/2*w**3 - 1/8*w**6 + 2 + 1/8*w**2 + 1/8*w**4 + 1/4*w. Solve f(i) = 0 for i.
-1, -1/3, 1
Factor -9/5 + 12/5*c - 3/5*c**2.
-3*(c - 3)*(c - 1)/5
Let w = 110 - 107. Let g(d) be the first derivative of -1/12*d**4 + 4 + 0*d + 0*d**w + 1/6*d**2. Factor g(i).
-i*(i - 1)*(i + 1)/3
Let l(r) = 24*r**4 - 30*r**3 + 9*r**2 - 3*r - 3. Let o(w) = 23*w**4 - 29*w**3 + 8*w**2 - 2*w - 2. Let h(c) = 2*l(c) - 3*o(c). Find a such that h(a) = 0.
0, 2/7, 1
Let x be -16*(2 - (-20)/(-9)). Factor 68/9*p**3 + 52/9*p**4 + x*p**2 - 2/9*p - 4/9 + 14/9*p**5.
2*(p + 1)**4*(7*p - 2)/9
Let r(c) be the first derivative of c**2 + 0*c - 1/3*c**3 - 1. Find h such that r(h) = 0.
0, 2
Let r be 8/40 - (-1)/(-30). Let n(b) be the second derivative of 0*b**2 + 0 - r*b**3 - 1/4*b**4 + 1/5*b**5 - b. Determine i so that n(i) = 0.
-1/4, 0, 1
Let d(g) = -g**3 - 12*g**2 - 8*g + 35. Let j be d(-11). Let b(n) be the first derivative of 1/2*n**j - 2 - 1/4*n**4 + n -