v) + 5*y(v). Solve x(q) = 0 for q.
0, 2
Let r(t) be the third derivative of t**6/660 + t**5/110 + t**4/66 - 6*t**2. Factor r(d).
2*d*(d + 1)*(d + 2)/11
Factor -41*v**4 - 5*v**3 + 35*v**2 + 36*v**4 + 5*v**3 - 30*v.
-5*v*(v - 2)*(v - 1)*(v + 3)
Suppose -4*m = -4*z + 572, -3*m + 45 = z + 494. Let n be m/(-126) + (-4)/14. Factor 4/3*j**2 + n*j + 2/9 + 2/9*j**4 + 8/9*j**3.
2*(j + 1)**4/9
Suppose -m = s - 0*s - 6838, 5*m - 34190 = 2*s. Let t = 34316/5 - m. Factor -109/5*w**3 + 36/5*w**2 + t*w**4 - 4/5*w - 49/5*w**5 + 0.
-w*(w - 1)**2*(7*w - 2)**2/5
Let c(w) be the first derivative of 4*w**3/3 - 2*w**2 - 48. Factor c(l).
4*l*(l - 1)
Let m be (-6 - -2)/(-4 + 2). Factor -l**4 + 7*l**m + 6*l**2 - 12*l**2.
-l**2*(l - 1)*(l + 1)
Let n be 11*-1 - (-15 - -13). Let d be -1 + (-4 - n - 2). Factor -2/3*q**4 - 2*q**d + 0 + 2/3*q + 2*q**3.
-2*q*(q - 1)**3/3
Determine a so that -a**3 + 0 - 3/5*a**2 + 4/5*a**5 + 3/5*a**4 + 1/5*a = 0.
-1, 0, 1/4, 1
Let z = -11 - -6. Let y(k) = -k**2 - 5*k + 4. Let h be y(z). Let 5*n**2 - n - h*n**2 - 3*n**2 - n = 0. Calculate n.
-1, 0
Let s(j) be the first derivative of -j**6/90 + j**5/15 - j**4/12 - 2*j**3/9 + 2*j**2/3 + 7*j - 2. Let y(k) be the first derivative of s(k). Factor y(r).
-(r - 2)**2*(r - 1)*(r + 1)/3
Determine h, given that 3/7*h**3 + 24/7*h**2 + 15/7*h - 150/7 = 0.
-5, 2
Let h(m) be the second derivative of m**7/378 - m. Solve h(j) = 0 for j.
0
Let y(b) be the second derivative of -b**4/12 - b**3/3 + 3*b**2/2 - 4*b. Factor y(g).
-(g - 1)*(g + 3)
Let f(g) be the second derivative of -g**8/23520 + g**7/8820 - 7*g**4/12 - 3*g. Let p(h) be the third derivative of f(h). Suppose p(d) = 0. Calculate d.
0, 1
Let l = 19 - 17. Solve 2/5*p**l + 8/5*p + 8/5 = 0.
-2
Suppose -80 = 5*l - 5*a, 5*l - l + 68 = 2*a. Let z = -10 - l. Solve z*h + 14/5*h**3 + 8/5 + 46/5*h**2 = 0.
-2, -1, -2/7
Let o(q) = -q**3 + 0*q**2 + 29*q - 1 - 28*q - 2*q**2. Let s be o(-3). Factor -10/7*t**4 - 10/7*t - 2/7 - 20/7*t**2 - 20/7*t**3 - 2/7*t**s.
-2*(t + 1)**5/7
Let q(g) = -g - 9. Let m be q(-9). Let k(p) be the second derivative of 0 + p - 1/5*p**2 + 1/30*p**4 + m*p**3. Factor k(y).
2*(y - 1)*(y + 1)/5
Let z(h) be the first derivative of -h**6/120 + h**5/60 + h**2/2 + 2. Let y(j) be the second derivative of z(j). Factor y(l).
-l**2*(l - 1)
Let b(s) be the first derivative of 3*s**5/5 - 2*s**4 + 13*s**3/9 - s**2/3 + 2. Suppose b(p) = 0. What is p?
0, 1/3, 2
Find b such that 12/5*b - 12/5*b**3 - 4/5*b**4 + 9/5 - b**2 = 0.
-3/2, -1, 1
Let s(m) = 0 - 1 + m + 1. Let i(n) = 2*n**2 - 6*n. Let q(v) = i(v) + 6*s(v). Factor q(k).
2*k**2
Let w(x) be the third derivative of x**6/8 + 5*x**5/12 - 5*x**4/8 - 25*x**3/6 + 19*x**2 - 2*x. Factor w(s).
5*(s - 1)*(s + 1)*(3*s + 5)
Let d be (-6)/33 - (1 + 226/(-154)). Factor 2/7*x + d*x**2 + 0.
2*x*(x + 1)/7
Suppose 13*s = 11*s + 4. Suppose 3*g + 18 = s*d, 22 = d - 5*g - 1. Solve 9/5*p**2 + 6/5*p + 0 + 3/5*p**d = 0 for p.
-2, -1, 0
Let b = 1 + 3. Let z = b - 2. Factor 5 + g**z + 3*g**2 + 3 + 8*g - 2*g**2.
2*(g + 2)**2
Let f(h) = -8*h**2 + 10*h - 12. Let l(a) = 9*a**2 - 9*a + 12. Let m(o) = 6*f(o) + 5*l(o). Solve m(n) = 0.
1, 4
Suppose -5*l + 31 = 11, -16 = 4*x - 4*l. Let s(f) be the first derivative of x*f + 1 + 1/4*f**2 + 1/12*f**3. What is h in s(h) = 0?
-2, 0
Suppose -t = 4*d - 4, -6*d + d - 12 = -3*t. Let k(u) be the second derivative of 1/24*u**4 + d - 1/8*u**2 - 1/24*u**3 + u. Factor k(m).
(m - 1)*(2*m + 1)/4
Suppose 0*r = 3*r - 6. Factor -r*u + 2*u**3 - 2*u**3 + u**4 + 2*u**3 + u**2 - 2*u**2.
u*(u - 1)*(u + 1)*(u + 2)
Let b(i) be the third derivative of i**5/80 + 13*i**2. Factor b(g).
3*g**2/4
Factor 10/9*s**3 - 2/9*s**4 + 14/9*s - 2*s**2 - 4/9.
-2*(s - 2)*(s - 1)**3/9
Let d = -116 - -118. Factor 2/5*i**4 - 6/5*i**d + 4/5*i + 0 + 0*i**3.
2*i*(i - 1)**2*(i + 2)/5
Suppose 10*y**2 - 3*y + 3*y + 6 - 22*y**2 + 9*y**3 - 3*y = 0. Calculate y.
-2/3, 1
Let c(i) be the third derivative of i**5/12 - i**4/6 - i**3/2 + 8*i**2. Let n(y) = y**2 + 1. Let m(s) = -c(s) + 3*n(s). Let m(w) = 0. What is w?
-1, 3
Let y(r) = 7*r**5 + 8*r**4 + r**3 - 6*r**2. Let p(o) = -o**5 - o**4 + o**2. Let u(s) = -6*p(s) - y(s). Solve u(v) = 0.
-1, 0
Let d(g) = 5*g**2 - 2*g + 1. Let b be d(2). Let y be 2/6*(b - 11). Suppose -y*q**2 - 2/3 + 2/3*q**3 + 2*q = 0. Calculate q.
1
Suppose z - 2 = -r, -z + r + 18 = 3*z. Suppose 5*f = -m + 25, -11 = -2*m - z*f + 9. Factor 1 + k**2 - 2 + m.
(k - 1)*(k + 1)
Let u = -28 - -30. Let p(m) be the third derivative of 0*m + 1/60*m**5 + 0*m**3 - u*m**2 + 0 + 1/60*m**6 - 1/24*m**4. Let p(k) = 0. What is k?
-1, 0, 1/2
What is q in 14/19*q - 22/19*q**2 - 4/19*q**3 + 12/19 = 0?
-6, -1/2, 1
Let u = 22 - 7. Let t = 33/2 - u. Find v, given that -3/4*v**2 - t + 9/4*v = 0.
1, 2
Let l be 1580/124*436/25. Let m = l - 2710/31. Let 336*h**3 + m*h**2 + 24*h + 8/5 + 1568/5*h**4 = 0. Calculate h.
-2/7, -1/4
Suppose 18 = -j - 4*f, -2*f - 3*f = 3*j + 19. Let v(s) be the second derivative of -1/70*s**5 + 0*s**4 - s + 0 + 0*s**j + 1/21*s**3. Factor v(l).
-2*l*(l - 1)*(l + 1)/7
Let v(h) = -7*h**3 + 11*h**2 - 13*h + 9. Let p(q) = -q**3 + q**2 - q + 1. Let f(d) = 18*p(d) - 2*v(d). Solve f(m) = 0.
-2, 0, 1
Solve 39*t**2 - 232*t + 72*t**3 + 238*t + 51*t**4 - 3*t**5 + 15*t**5 = 0 for t.
-2, -1, -1/4, 0
Let m(h) be the first derivative of -2*h**5/5 - 3*h**4 - 10*h**3/3 - 14. Determine p so that m(p) = 0.
-5, -1, 0
Suppose -3*v - 3 = -0*v. Let d = v + 1. Find u, given that -4*u**4 - 2*u**3 + d*u**3 + 1 + 3*u**4 + 2*u = 0.
-1, 1
Let q be (-4 - (-10)/3)*-3. Let b(l) be the third derivative of -3*l**q + 0 - 1/30*l**5 - 1/24*l**6 + 1/24*l**4 + 0*l + 1/35*l**7 + 0*l**3. Factor b(a).
a*(a - 1)*(2*a + 1)*(3*a - 1)
Factor -2*a**2 - 2*a**4 + 0*a**3 + 5*a**3 + 0*a**3 - a**3.
-2*a**2*(a - 1)**2
Find u, given that 2 - 2*u**3 + 4 - 6 = 0.
0
Let i(n) be the first derivative of -n**4 + 4*n**3 - 6*n**2 + 4*n + 9. Factor i(y).
-4*(y - 1)**3
Let b(u) be the second derivative of 0*u**2 - 1/18*u**3 - 1/20*u**5 + 0 - 1/90*u**6 - 1/12*u**4 - 2*u. Suppose b(z) = 0. What is z?
-1, 0
Let l(q) be the third derivative of q**8/20160 - q**7/5040 + q**5/30 - 2*q**2. Let m(c) be the third derivative of l(c). Factor m(d).
d*(d - 1)
Let n(p) be the second derivative of p**6/30 - p**5/20 + p**3/6 + 4*p. Let y(w) = 3*w**4 - 3*w**3 + 9*w**2 + 3*w - 6. Let o(u) = -6*n(u) + y(u). Factor o(v).
-3*(v - 2)*(v - 1)*(v + 1)**2
Let f(o) be the first derivative of 1/10*o**4 + 0*o + 0*o**3 + 0*o**5 + 0*o**2 - 1/15*o**6 + 4. Find i, given that f(i) = 0.
-1, 0, 1
Let z(m) = 3*m + 6. Let k be z(-4). Let h be 0 - (16/k - -2). Find a such that h*a - 2/3*a**2 + 4/3 = 0.
-1, 2
Let i(p) be the third derivative of -p**5/180 + p**3/18 - 22*p**2. Factor i(v).
-(v - 1)*(v + 1)/3
Find a such that 45*a**2 + 30 + 135*a + 56 + 5*a**3 + 49 = 0.
-3
Let t(j) be the second derivative of 1/3*j**4 + 5*j + 32*j**2 + 0 - 16/3*j**3. Suppose t(h) = 0. Calculate h.
4
Let p be (-21)/(-14)*(-8)/(-42). Suppose p*h**2 - 4/7*h + 2/7 = 0. What is h?
1
Let k(r) be the second derivative of -r**4/60 - r**3/6 - 2*r**2/5 - 19*r. Factor k(g).
-(g + 1)*(g + 4)/5
Suppose 3*v = 2*r + 26, 2*v - 3*r = r + 28. Suppose 0*y = -y + v. Let 2*i**3 + 3*i + 3*i - 2*i**5 - y*i = 0. What is i?
-1, 0, 1
Suppose -3*w - 2*m + m + 10 = 0, -4*w = -5*m - 7. Solve -w*g - 6*g**2 + 0 - 3/4*g**4 - 15/4*g**3 = 0.
-2, -1, 0
Let -6*r**3 + 39/8*r**2 + 15/8*r**4 - 3/4*r + 0 = 0. Calculate r.
0, 1/5, 1, 2
Let i(c) be the first derivative of -c**7/45 + c**6/15 - c**5/30 - c**4/18 - 3*c**2 + 2. Let s(h) be the second derivative of i(h). Let s(q) = 0. Calculate q.
-2/7, 0, 1
Let n be (-8)/28 - (-30)/56. Let o = n + 1/4. Factor -g**3 + 1/2*g**4 + o*g**2 + 0*g + 0.
g**2*(g - 1)**2/2
Let s(n) = -n**2 - 5*n - 2. Let a(l) = -l - 8. Let o be a(-6). Let j be s(o). Factor 5/4*m**j + 0 + 1/4*m**2 + m**3 + 0*m + 1/2*m**5.
m**2*(m + 1)**2*(2*m + 1)/4
Suppose -3*p + 20 = 11. Let j(a) be the third derivative of 0*a**p + 3*a**2 + 0 + 0*a + 0*a**4 + 1/60*a**5 + 1/120*a**6. Factor j(t).
t**2*(t + 1)
Let q(x) be the third derivative of x**8/56 + x**7/21 - 11*x**6/60 - 3*x**5/10 + 4*x**4/3 - 4*x**3/3 - 10*x**2. Determine a, given that q(a) = 0.
-2, 1/3, 1
Let y(t) be the third derivative of -t**8/42 - 4*t**7/35 - 7*t**6/30 - 4*t**5/15 - 3*t**4/16 - t**3/12 - 32*t**2. Factor y(d).
-