d derivative of 11*o**4/12 - 5*o**3/18 - o**2/3 + 21*o. Factor v(c).
(3*c - 1)*(11*c + 2)/3
Let p be 17/((-170)/(-20)) - 2. What is j in 1/8*j**3 + 3/8*j**2 + 1/4*j + p = 0?
-2, -1, 0
Let f(w) = w**3 - 5*w**2 + 5*w - 1. Let o = 4 + 0. Let v be f(o). Suppose 0*k**2 - 6*k**2 + v*k**2 = 0. What is k?
0
Let i(o) be the first derivative of o**5 - 5*o**4/4 - 10*o**3/3 - 26. What is y in i(y) = 0?
-1, 0, 2
Let d(t) be the second derivative of -1/6*t**3 + 0 + 0*t**2 - 7/20*t**5 + 11/24*t**4 + 2*t. Factor d(j).
-j*(2*j - 1)*(7*j - 2)/2
Let v = -28 + 34. Let a(f) be the third derivative of 0 + 0*f - 1/120*f**v + 1/24*f**4 + 1/30*f**5 - 1/3*f**3 - f**2. Let a(k) = 0. What is k?
-1, 1, 2
Suppose j - v - 3 = 2, -2*v - 4 = 0. Factor -2*p**j - 5 + p**4 + 2*p**2 - p**2 + 5.
p**2*(p - 1)**2
Suppose 0 = 4*i - 2*s, 2*i + 3*s + 4 = 20. Factor -5 + 3*j**i - 3 + 5.
3*(j - 1)*(j + 1)
Let r be (-4)/(-8)*(8 - -2). Let f(l) be the second derivative of -1/75*l**6 + 0 + 0*l**r - 2*l + 0*l**2 + 1/30*l**4 - 1/210*l**7 + 1/30*l**3. Factor f(h).
-h*(h - 1)*(h + 1)**3/5
Let c be 152/192 - 3/24. Factor c*b**2 + 2/3*b**3 + 0*b + 0.
2*b**2*(b + 1)/3
Let v be 3 - ((-1 - -3) + -1). Solve -26/9*w - 32/9*w**4 - 4/9 - 2*w**v + 80/9*w**3 = 0.
-1/4, 1, 2
Suppose -13 + 5 - a + 4*a**3 - 11*a = 0. What is a?
-1, 2
Let p = 4 + 0. What is f in -f + 6*f**2 + 6 + 3*f**5 + 12*f**3 - 12*f**p - 14*f + 0*f = 0?
-1, 1, 2
Solve -6*l**2 + 4*l**4 - 2*l**4 - 3 - 1 + 10*l + 0 - 2*l**3 = 0 for l.
-2, 1
Let j(u) be the second derivative of 1/30*u**6 + 0*u**3 + 0*u**5 - 1/6*u**4 + 0 + 1/2*u**2 + 8*u. Factor j(a).
(a - 1)**2*(a + 1)**2
Let b(x) be the first derivative of x**7/5040 + x**6/720 + x**5/240 + x**4/144 + 2*x**3/3 - 2. Let o(g) be the third derivative of b(g). Factor o(t).
(t + 1)**3/6
Let w(a) be the second derivative of a**7/49 + 4*a**6/105 - a**5/35 - 2*a**4/21 - a**3/21 - 3*a. Suppose w(b) = 0. Calculate b.
-1, -1/3, 0, 1
Let z(f) = f**2 - 10*f - 9. Let q be z(11). Let w(b) be the third derivative of -1/3*b**3 + 3*b**q + 0*b - 1/480*b**6 - 1/8*b**4 + 0 - 1/40*b**5. Factor w(c).
-(c + 2)**3/4
Let h = -1161/7 + 166. Factor -2/7*y**4 + 0*y + 1/7*y**5 + 0*y**2 + 0 + h*y**3.
y**3*(y - 1)**2/7
Let r be (-110)/44*2/(-50). Let m(q) be the second derivative of -1/21*q**4 + 0*q**2 - 4/105*q**6 + 3*q + 0 - r*q**5 + 1/21*q**3. Find n, given that m(n) = 0.
-1, 0, 1/4
Let s = 1 + -2. Let i = s - -4. Solve -14/9*q - 4/9 + 2*q**i + 0*q**2 = 0.
-2/3, -1/3, 1
Let g(d) = d**2 + 8*d + 10. Let q be g(-8). Let 14*t**2 - 3 + 6 - q*t - 4 - 3 = 0. Calculate t.
-2/7, 1
Let u be 6/3*6/4. Factor -3*q + 2*q**u - q**2 + 3*q**4 + q - q**4 - q**2.
2*q*(q - 1)*(q + 1)**2
Let y(h) be the second derivative of -h**7/14 - h**6/10 + 3*h**5/10 + h**4/2 - h**3/2 - 3*h**2/2 - 4*h - 7. Factor y(c).
-3*(c - 1)**2*(c + 1)**3
Let b(u) = -4 + 1 + u**2 - 7*u - 2. Let v be b(8). Let 8/5*p - 2/5*p**5 - 8/5*p**4 - 6/5*p**v + 0 + 8/5*p**2 = 0. What is p?
-2, -1, 0, 1
Suppose -3*f + 2*k - k = -3, -5*f + 5*k = 5. Let t(q) = -q**2 + 6*q - 2. Let u be t(5). Suppose 3*p**3 - p**f - p**u + 0*p**3 - 3*p**3 = 0. Calculate p.
-1, 0
Factor -9/2*i**2 + 0 + 3/4*i**3 + 0*i.
3*i**2*(i - 6)/4
Let d(h) = -6*h**5 - 3*h**3 - 3*h. Let y(r) = 5*r**5 - r**4 + 2*r**3 + 2*r. Let v be -1*(-3)/(-9)*-9. Let g(t) = v*y(t) + 2*d(t). Determine b so that g(b) = 0.
0, 1
Let q(o) be the first derivative of -o**3 - 8 + 0*o + 3/2*o**4 + 0*o**2 - 3/5*o**5. Factor q(w).
-3*w**2*(w - 1)**2
Let h(b) be the second derivative of b**6/10 - b**4/2 + 3*b**2/2 + b. Let h(z) = 0. Calculate z.
-1, 1
Let f(i) = -2*i**2 - 10*i - 5. Let s(c) = -15*c**2 - 70*c - 35. Let a(x) = 20*f(x) - 3*s(x). Factor a(j).
5*(j + 1)**2
Let m(t) = -t**3 + t**2 - 3*t + 1. Let s = 7 + -5. Let o be s/3*(-42)/(-4). Let a(d) = 4*d**3 - 3*d**2 + 10*d - 4. Let i(j) = o*m(j) + 2*a(j). Factor i(k).
(k - 1)*(k + 1)**2
Determine h, given that 178*h**2 - 58*h**2 + 135*h**5 - 20 - 175*h**3 + 155*h**2 + 40*h - 255*h**4 = 0.
-1, -1/3, 2/9, 1, 2
Let z(r) be the first derivative of r**9/6048 + r**8/1680 + r**7/1680 + r**3/3 + 3. Let c(g) be the third derivative of z(g). Factor c(t).
t**3*(t + 1)**2/2
Let t(s) be the second derivative of s**7/1260 - s**6/180 - s**4/12 + 3*s. Let p(n) be the third derivative of t(n). Factor p(a).
2*a*(a - 2)
Let u(w) be the second derivative of 2*w**5/5 + 4*w**4/3 + 5*w**3/3 + w**2 + 7*w. Determine a so that u(a) = 0.
-1, -1/2
Let t be (-5)/(-2) - (-29)/(-58). Let m(w) be the third derivative of -1/105*w**7 + 1/36*w**6 + 0 - 1/45*w**5 + 0*w**3 + 0*w + 0*w**4 - w**t. Factor m(h).
-2*h**2*(h - 1)*(3*h - 2)/3
Let k(h) be the first derivative of 0*h + 1/20*h**5 + 1/4*h**3 - 3/16*h**4 - 7 - 1/8*h**2. Suppose k(w) = 0. What is w?
0, 1
Let b(h) be the first derivative of -h**4/40 - h**3/15 - h**2/20 - 8. Determine f, given that b(f) = 0.
-1, 0
Suppose -2*i + 5*q = -0 - 16, -5*q = 10. Let -8/5 + 6/5*u**2 - 2/5*u**i + 0*u = 0. What is u?
-1, 2
Let w be 24/(-60) + 44/10. Let l(k) be the first derivative of -4 + 0*k**2 - 4/5*k + 1/5*k**3 - 1/20*k**w. Factor l(u).
-(u - 2)**2*(u + 1)/5
Let z(m) = -8 + 0 + 2 - 9*m**2 - m**3 + 5*m**2 + 3*m. Let c be z(-5). Factor 1/4*j**5 - 3/2*j**c + 9/4*j - 1/2 - 4*j**2 + 7/2*j**3.
(j - 2)*(j - 1)**4/4
Let t(s) be the second derivative of 0*s**5 + 0 + 1/21*s**7 - 1/3*s**4 + 3*s + 0*s**2 + 2/15*s**6 - 1/3*s**3. Factor t(x).
2*x*(x - 1)*(x + 1)**3
Let i(n) be the third derivative of n**7/3780 - n**6/1620 - n**5/540 + n**4/108 - n**3/6 - 2*n**2. Let w(k) be the first derivative of i(k). Factor w(z).
2*(z - 1)**2*(z + 1)/9
Factor -32 + c + c**3 + 2*c**2 + 32.
c*(c + 1)**2
Suppose -4*c + 12 = 2*k, 14 = k + 3*k - 2*c. Let x = k + -2. Factor r**x - 4*r**2 + 4*r**2.
r**2
Let a(y) be the third derivative of y**5/5 + 7*y**4/6 + 4*y**3/3 - y**2. Factor a(j).
4*(j + 2)*(3*j + 1)
Suppose 2*v - s = 2, 5*v + 2*s = 5*s + 5. Suppose g - 3 + v = 0. Let 4/7*a**g - 2/7*a**3 + 2/7*a - 4/7 = 0. Calculate a.
-1, 1, 2
Solve 0 - 9*l**2 - 3/2*l - 27/2*l**3 = 0.
-1/3, 0
Determine v so that 0*v**3 + 1/8*v - 1/4*v**2 + 0 - 1/8*v**5 + 1/4*v**4 = 0.
-1, 0, 1
Let s(u) be the first derivative of 5*u**3/3 - 5*u**2/2 - 60*u - 8. Find f, given that s(f) = 0.
-3, 4
Let r(u) = -u + 6. Let v be r(6). Suppose -3*j + g + 21 = -0*j, 5*j + g - 43 = v. Factor -j*z + 194/9*z**2 + 32/9*z**4 - 16*z**3 + 8/9.
2*(z - 2)**2*(4*z - 1)**2/9
Suppose 3*h - 7 = -1. Factor 4*l**2 + 2*l**3 - l**4 - 3*l**h - 2*l**2.
-l**2*(l - 1)**2
Let u = -15 - -18. Suppose 2*i - 6 = 7*i + u*q, -5*i + 2 = -q. Determine z so that -3/2*z**3 + i + 3/2*z**4 + 1/2*z**2 + 0*z - 1/2*z**5 = 0.
0, 1
Let y(j) be the second derivative of j**3/6 + 6*j**2 - 2*j. Let l be y(-10). Solve 3*h**5 - h**l - 5*h**2 - 2*h**3 + 0*h**4 - h + 5*h**4 + 1 = 0.
-1, 1/3, 1
Let j(v) = -9 + 0*v**2 - 3*v**2 - 6*v + v + 3*v. Let m(y) = 2*y**2 + y + 5. Let t(o) = -3*j(o) - 5*m(o). Factor t(u).
-(u - 2)*(u + 1)
Let v(j) be the first derivative of 2 + 1/6*j**3 + 1/12*j**6 + 0*j**2 + 3/8*j**4 + 0*j + 3/10*j**5. Solve v(u) = 0 for u.
-1, 0
Let p = -5 + 1. Let r(k) = 12*k**3 + 12*k**2 - 3*k + 3. Let s(z) = -11*z**3 - 13*z**2 + 2*z - 4. Let c(f) = p*r(f) - 3*s(f). Factor c(x).
-3*x*(x + 1)*(5*x - 2)
Let c(m) = m**2 + 2*m - 1. Let l be -6*(-1)/2 - 2. Let x be c(l). Factor 1/4 - 1/4*r**x + 0*r.
-(r - 1)*(r + 1)/4
Factor -1/4*d + 0 - 1/4*d**2.
-d*(d + 1)/4
Let t(j) be the second derivative of j**7/42 - j**6/6 + 9*j**5/20 - 7*j**4/12 + j**3/3 + 10*j. What is n in t(n) = 0?
0, 1, 2
Let 8/5*m**3 + 4/5*m**5 - 12/5*m - 4/5 - 8/5*m**2 + 12/5*m**4 = 0. Calculate m.
-1, 1
Suppose 5*z = z - 2*k + 14, z + k - 1 = 0. Let f(y) = -7*y**2 - 4*y + 2. Let x(m) = -15*m**2 - 8*m + 5. Let w(t) = z*x(t) - 13*f(t). Factor w(q).
(q + 2)**2
Suppose 5*o - 3*r - 30 = -8*r, -2*o + 20 = 4*r. Determine s so that 1 + 0*s**2 - 3*s**o + 2*s**2 = 0.
-1, 1
Determine q, given that -12*q**2 - 18*q**3 + 0 - 9*q**4 - 8/3*q = 0.
-2/3, 0
Let a = -3/2 - -7/4. Factor 0 + a*o + 1/4*o**2.
o*(o + 1)/4
Let q(f) be the third derivative of f**6/160 + 3*f**5/40 + 5*f**4/32 + 9*f**2 + 1. Factor q(j).
3*j*(j + 1)*(j + 5)/4
Suppose -5*c + 0*c = -15. Determine z so that -c + 2*z - 12*z - 3*z**2 + 4*z = 0.
-1
Suppose 3*y = 4*y - 3*m + 46, 4*m = 0. Let c = -42 - y. Solve 4/3*t**c + 4/3*t**3 - 5/3*t - 2/3 + 1/3*t**5 - 2/3*t**2 = 0.
-2