ctor -v**2 - 4 + 6*v**2 - v**2.
4*(v - 1)*(v + 1)
Let u(p) = -p + 1. Let j(n) = 3*n**2 + 12*n - 6. Let q(a) = -j(a) - 6*u(a). Factor q(m).
-3*m*(m + 2)
Let z be (-16)/(-20) - (-861)/(-1080). Let h(d) be the third derivative of -1/180*d**5 + 0*d**3 - z*d**6 + 0*d**4 + 0*d - d**2 + 0. Factor h(t).
-t**2*(t + 1)/3
Let r(o) be the third derivative of -o**10/15120 - o**9/3780 + 5*o**4/24 + 7*o**2. Let y(l) be the second derivative of r(l). Determine p, given that y(p) = 0.
-2, 0
Let r be 5/(-10) + 0 + 1/2. Factor 2/7*q**4 + r*q - 4/7*q**3 + 2/7*q**2 + 0.
2*q**2*(q - 1)**2/7
Let u(q) be the first derivative of -3 + 1/8*q**2 + 0*q + 0*q**3 - 1/8*q**4 + 1/24*q**6 + 0*q**5. Find a, given that u(a) = 0.
-1, 0, 1
Let h(p) be the first derivative of p**4/28 + 4*p**3/21 + 5*p**2/14 + 2*p/7 + 14. Factor h(r).
(r + 1)**2*(r + 2)/7
Let a(r) be the first derivative of 4*r**3/9 - 16*r/3 - 2. Factor a(g).
4*(g - 2)*(g + 2)/3
Let d(y) = 98*y**2 + 54*y + 10. Let q(x) = -98*x**2 - 53*x - 11. Let w(p) = -6*d(p) - 4*q(p). Find i such that w(i) = 0.
-2/7
Let m(x) = -x**2 + 6*x - 4. Let g be m(4). Determine c so that -4*c**3 + c + 2*c + 4*c**2 - 3*c + c**g = 0.
0, 2
Let a(i) be the second derivative of -i**6/60 + i**5/40 + i**4/24 - i**3/12 + 4*i. Suppose a(p) = 0. What is p?
-1, 0, 1
Let x(j) be the first derivative of j**6/6 - 2*j**5/5 - j**4/4 + 2*j**3/3 + 9. Factor x(h).
h**2*(h - 2)*(h - 1)*(h + 1)
Let l = -6 - -4. Let s(n) = -3*n**4 - n**3 + 5*n**2 - 4*n - 2. Let p(z) = z**4 - 2*z**2 + 2*z + 1. Let f(m) = l*s(m) - 5*p(m). Find v such that f(v) = 0.
-1, 1
Let u = 49 + -293/6. Let q(g) be the third derivative of 1/12*g**4 + 0*g + 0 + 7/60*g**5 + 1/30*g**6 - u*g**3 + g**2. Find j, given that q(j) = 0.
-1, 1/4
Determine x, given that 3/5*x**4 + 0*x + 2/5*x**3 + 4/5 - 9/5*x**2 = 0.
-2, -2/3, 1
Let i(k) = -33*k**3 - 59*k**2 - 36*k - 1. Let z(l) = 8*l**3 + 15*l**2 + 9*l. Let p(u) = 2*i(u) + 9*z(u). Suppose p(b) = 0. What is b?
-2, -1, 1/6
Let l(u) be the second derivative of u**4/3 - 10*u**3/3 + 12*u**2 + 37*u. Let l(s) = 0. Calculate s.
2, 3
Let c(k) be the third derivative of -k**7/210 - k**6/12 - 3*k**5/5 - 9*k**4/4 - 9*k**3/2 + 14*k**2. Solve c(v) = 0.
-3, -1
Suppose 0*s**5 - 10*s**4 + 4*s**3 + 8*s**2 + 2*s**4 + 12*s + 4*s**5 - 20*s**3 = 0. What is s?
-1, 0, 1, 3
Let b(r) = 2*r + 4. Let y(s) = -s - 2. Let x(a) = -6*b(a) - 11*y(a). Let l be x(-7). Factor 3/2*k - 3/2 - 3*k**3 + 3*k**2 + 3/2*k**l - 3/2*k**4.
3*(k - 1)**3*(k + 1)**2/2
Let p(o) be the third derivative of -o**10/50400 + o**9/30240 + o**8/20160 - o**5/20 + 2*o**2. Let w(i) be the third derivative of p(i). Factor w(j).
-j**2*(j - 1)*(3*j + 1)
Let k(d) be the first derivative of -d**5/10 + d**4/6 + d**3/3 - d**2 + 4*d - 2. Let n(b) be the first derivative of k(b). Determine r, given that n(r) = 0.
-1, 1
Let k be 6 - 15/(45/14). Solve -k*l**4 + 0 + 2/3*l**3 + 0*l**2 + 2/3*l**5 + 0*l = 0 for l.
0, 1
Let d = 11 + -7. Factor 2*j**4 + 0*j**d + j**3 + j**5 + 0*j**4.
j**3*(j + 1)**2
Let h(d) = d + 8. Let i be h(6). Suppose a = -a + i. Suppose 2*m + 1 + 5*m**3 - a*m**3 - m**4 + 0 = 0. What is m?
-1, 1
Let f(v) be the third derivative of -9*v**6/200 + 33*v**5/100 - 19*v**4/40 + 3*v**3/10 + 8*v**2. Solve f(h) = 0.
1/3, 3
Suppose 2 = 3*z - 2*z. Factor 0 - 2/5*x - 2/5*x**z.
-2*x*(x + 1)/5
Let f(t) be the first derivative of t**4/18 + 2*t**3/27 - 5. Solve f(d) = 0.
-1, 0
Let d = -6149 - -18281/3. Let t = d - -56. Factor 4/3*u**3 + t*u**4 + 2/3*u**2 + 0 + 0*u.
2*u**2*(u + 1)**2/3
Suppose 3*j + 2 = -4, z - 3*j - 12 = 0. What is g in g**4 - 4 + z*g**2 + 0*g**4 - 6*g**4 - 3*g**4 - 16*g**3 + 10*g = 0?
-2, -1, 1/2
Let m(v) be the first derivative of -v**6/480 + v**4/32 + v**3/12 + 3*v**2 + 3. Let y(a) be the second derivative of m(a). Factor y(c).
-(c - 2)*(c + 1)**2/4
Let g = 34 + -32. Let q(k) be the first derivative of 0*k + 0*k**4 + 2 - 1/3*k**3 + 0*k**g + 1/5*k**5. Factor q(s).
s**2*(s - 1)*(s + 1)
Let m = 43/114 + -4/19. Let x(u) be the first derivative of -1/8*u**4 + 0*u + 1/4*u**2 + m*u**3 - 2 - 1/10*u**5. Solve x(o) = 0 for o.
-1, 0, 1
Let f(a) be the first derivative of -a**5/80 + 5*a**4/48 - a**3/3 + a**2/2 + 3*a + 1. Let x(v) be the first derivative of f(v). Factor x(j).
-(j - 2)**2*(j - 1)/4
Let k(r) be the first derivative of r**3/12 + r**2/2 - 43. Let k(o) = 0. What is o?
-4, 0
Let i(v) = 9*v**3 + 9*v**2 - 4*v - 4. Let m(p) = -26*p**3 - 26*p**2 + 11*p + 11. Let d(r) = -11*i(r) - 4*m(r). Factor d(k).
5*k**2*(k + 1)
Let d be 0*(10 + 7 + -16). Factor -2/3*a**3 + 0 - 4/3*a**2 + d*a.
-2*a**2*(a + 2)/3
Let b(g) = 8*g**4 + 15*g**3 - g**2 + 3*g + 11. Let o(x) = x**3 + x**2 + x + 1. Let c(y) = 2*b(y) - 18*o(y). Factor c(k).
4*(k - 1)*(k + 1)**2*(4*k - 1)
Let x(i) be the second derivative of i**5/5 + i**4/3 - 2*i**3/3 - 2*i**2 + 11*i. Suppose x(l) = 0. What is l?
-1, 1
Let q be (-285)/(-24) + 4/32. Suppose q = 2*k - 4*k - 4*n, 0 = -4*k + n + 3. What is m in 0*m + k - 1/2*m**3 - 1/2*m**2 = 0?
-1, 0
Let m(l) be the third derivative of -l**7/945 - l**6/540 + l**5/270 + l**4/108 + 11*l**2. Factor m(d).
-2*d*(d - 1)*(d + 1)**2/9
Let r be 144/27 - 1/3. Factor 5*q**5 - 4*q**4 - 3*q**5 - 5*q**4 + r*q**4 + 4*q**2 - 2*q.
2*q*(q - 1)**3*(q + 1)
Let d(b) be the third derivative of -b**8/560 - 4*b**7/525 - 7*b**6/600 - b**5/150 - 6*b**2. Factor d(v).
-v**2*(v + 1)**2*(3*v + 2)/5
Factor -4*j + 16/3 - 4/3*j**2.
-4*(j - 1)*(j + 4)/3
Suppose -5*o + 2 + 13 = -z, -o + 3*z = -17. Factor 2*y - 5*y**o + 4*y**2 + 0 - 1.
-(y - 1)**2
Let g(n) = -3*n**2 - 11*n + 19. Let s(r) = -r**2 - 6*r + 9. Let l(t) = -2*g(t) + 5*s(t). Let b be l(7). Factor -1/2*o + b + 1/2*o**2.
o*(o - 1)/2
Factor 0*b - 8/17 + 2/17*b**2.
2*(b - 2)*(b + 2)/17
Factor -4/3 - 2/3*h + 2/3*h**2.
2*(h - 2)*(h + 1)/3
Let r(h) = h**3 + 15*h**2 + 15*h + 17. Let j be r(-14). Factor q**3 - 37*q + 3*q**j - q**3 - 9*q**2 - 6 + 3*q**4 + 22*q.
3*(q - 2)*(q + 1)**3
Let c be ((-15)/20)/((-12)/8). Let r be 9/8*12/18. Find y, given that -1/4*y**2 - r*y - c = 0.
-2, -1
Let c(o) be the first derivative of 0*o + 7 - 5*o**4 - 16/3*o**3 - 2*o**2 - 8/5*o**5. Factor c(k).
-4*k*(k + 1)**2*(2*k + 1)
Let j(r) = -65*r**2 + 1910*r - 14665. Let d(n) = 5*n**2 - 147*n + 1128. Let f(h) = -40*d(h) - 3*j(h). Factor f(l).
-5*(l - 15)**2
Let f be -3 + -2 + 63/12. Suppose -1/4*p - f*p**2 + 1/2 = 0. What is p?
-2, 1
Solve 7*d**2 + 16*d - 14*d**3 - 24*d**4 + 20*d**2 - 11*d**2 - 30*d**3 = 0.
-2, -1/2, 0, 2/3
Let b(x) = -27*x**5 + 30*x**4 + 12*x**2 + 12*x. Let q(h) = -11*h**5 + 12*h**4 + 5*h**2 + 5*h. Let z(r) = 5*b(r) - 12*q(r). Find n, given that z(n) = 0.
0, 2
Let m(f) be the third derivative of f**8/20160 - f**7/2520 + f**5/30 - f**2. Let y(k) be the third derivative of m(k). Factor y(x).
x*(x - 2)
Let d be -6*-2*8/32. Factor -30/7*f - 2/7*f**d + 2*f**2 + 18/7.
-2*(f - 3)**2*(f - 1)/7
Suppose -3*p - 2*p = -2*t - 20, -4*t - 16 = 2*p. Factor 1/4*g**3 + 0 + 0*g - 1/4*g**p.
g**2*(g - 1)/4
Let u(l) be the second derivative of -l**9/52920 + l**8/7840 - l**7/2940 + l**6/2520 - l**4/6 - 2*l. Let w(n) be the third derivative of u(n). Factor w(b).
-2*b*(b - 1)**3/7
Let b be (-24)/(-10 - -4) + -4. Determine h so that 8/3*h**4 - 8/3*h + 38/3*h**3 - 10*h**5 + b - 8/3*h**2 = 0.
-1, -2/5, 0, 2/3, 1
Let s be (-240)/1575 + (-2)/(-7). Let i(l) be the first derivative of -s*l**5 - 4/3*l**2 + 3 - 4/3*l**3 - 2/3*l**4 - 2/3*l. What is h in i(h) = 0?
-1
Let r(i) be the third derivative of -i**5/100 + i**4/30 - i**3/30 - i**2. Solve r(s) = 0.
1/3, 1
Let i(x) be the second derivative of -x**6/165 - x**5/55 + 2*x**3/33 + x**2/11 + 11*x. Factor i(b).
-2*(b - 1)*(b + 1)**3/11
Let b(y) be the first derivative of -y**4/20 - 7*y**3/15 - 21. Factor b(g).
-g**2*(g + 7)/5
Let -2*j + 0 + 8*j**4 - 8*j**2 - 9/2*j**5 + 13/2*j**3 = 0. What is j?
-1, -2/9, 0, 1, 2
Let f be (2/3)/((-16)/(-48)). Factor 0*u**f + 1/2*u + 0 - 1/2*u**3.
-u*(u - 1)*(u + 1)/2
Let x(l) be the third derivative of 0 + 0*l**3 + 0*l + 1/120*l**5 + 1/48*l**4 + 2*l**2. Factor x(d).
d*(d + 1)/2
Let z = -163 + 163. Factor 0*n + 0*n**2 + 2/7*n**5 + z*n**3 + 2/7*n**4 + 0.
2*n**4*(n + 1)/7
Suppose 1 - 4 - s**4 + 2 + 2*s**2 = 0. What is s?
-1, 1
Let v be ((-80)/48)/((-3)/9). Find g, given that 6/11*g**3 - 6/11*g**4 + 0 + 0*g + 2/11*g**v - 2/11*g**2 = 0.
0, 1
Let z(w) be the second derivat