 25*t**2 + 48*t + 40. Let q(v) = 3*v**2 + 6*v + 5. Let b(r) = -51*q(r) + 6*x(r). Factor b(j).
-3*(j + 1)*(j + 5)
Let u(n) be the second derivative of 5*n**7/42 - n**5/4 - 2*n. Factor u(l).
5*l**3*(l - 1)*(l + 1)
Let n be (-6)/12 + 21/(-6). Let w be -5 - n - -1 - -3. Find v such that 0 - v**w - v**2 - 1/3*v - 1/3*v**4 = 0.
-1, 0
Let r(k) be the third derivative of -k**9/25704 + k**8/14280 + 4*k**3/3 - 4*k**2. Let h(d) be the first derivative of r(d). Solve h(s) = 0.
0, 1
What is a in 2*a**4 + a**2 - 2 - 5*a**3 - 3*a**4 - 10*a**2 - a - 6*a = 0?
-2, -1
What is w in -363*w - 4*w**3 + 363*w = 0?
0
Let u(k) = 9*k**3 + 9*k**2 + 6*k. Let b(i) = i**3 + i**2 + i. Let r(v) = -6*b(v) + u(v). Let r(d) = 0. Calculate d.
-1, 0
Let o = 2/169 + 151/1521. Let c(m) be the first derivative of 1/9*m**6 - 1/6*m**4 + o*m**3 + 0*m**2 + 0*m - 1/15*m**5 + 1. Solve c(d) = 0.
-1, 0, 1/2, 1
Let g(m) be the first derivative of -2 - 3/40*m**6 - 4/3*m**3 + 0*m - 3/2*m**2 - 7/6*m**4 - 1/2*m**5. Let v(x) be the second derivative of g(x). Factor v(c).
-(c + 2)*(3*c + 2)**2
Suppose -i + 13 = -0*i. Suppose 0 = -3*q - 2*y + 14, -7 = -5*y + i. What is o in o - 5*o**2 + 3*o + 3*o**q = 0?
0, 2
Let 0 + 2/21*b**4 - 8/21*b**3 + 2/21*b**2 + 4/7*b = 0. What is b?
-1, 0, 2, 3
Let a(z) = -27*z**5 + 195*z**4 - 528*z**3 + 648*z**2 - 340*z + 48. Let o(l) = 2 + l + 2 - 4. Let r(h) = -a(h) - 4*o(h). Factor r(k).
3*(k - 2)**3*(k - 1)*(9*k - 2)
Let v(w) be the first derivative of 0*w - 2 + 0*w**4 + 0*w**3 + 0*w**2 - 1/5*w**5 - 1/6*w**6. Factor v(h).
-h**4*(h + 1)
Suppose -u + 5 = 5*b - 0*u, 4*u = -20. Factor 2 - 8 - 13*j + 4*j - 3*j**b.
-3*(j + 1)*(j + 2)
Let y be 1/(-4) + (-36)/16 + 4. Factor -3/2*w - y*w**2 - 1/2*w**3 - 1/2.
-(w + 1)**3/2
Let q be (-2)/5 - (-749)/35. Suppose 8 = -4*r - v + 23, -q = -3*r - 4*v. Factor -1/3*z - 1/3*z**2 + 2/3*z**r + 0.
z*(z - 1)*(2*z + 1)/3
Let d(j) be the third derivative of j**5/15 - j**4/4 - 3*j**2. Let m(y) = -2*y + 2*y - y + y**2. Let r(x) = d(x) - 6*m(x). Factor r(g).
-2*g**2
Let f(k) be the first derivative of 0*k**2 - 1/18*k**3 + 1/30*k**5 + 0*k - 5 + 0*k**4. What is q in f(q) = 0?
-1, 0, 1
Factor 0*i + 4/7*i**2 + 0 - 2*i**5 - 24/7*i**4 - 6/7*i**3.
-2*i**2*(i + 1)**2*(7*i - 2)/7
Let y(q) = -q**5 - q**4 - q**3 + q - 1. Let j(p) = 3*p**5 + 13*p**4 - 12*p**3 - 30*p**2 + 7*p + 13. Let t(z) = j(z) - 2*y(z). Find x such that t(x) = 0.
-3, -1, 1
Let m(q) be the third derivative of q**6/120 + q**5/15 + 5*q**4/24 + q**3/3 + 10*q**2. Factor m(f).
(f + 1)**2*(f + 2)
Let t = -9 - -9. Let z be (-2)/10*9 + 2. Factor z*a + t + 1/5*a**2.
a*(a + 1)/5
Let m be 1/(-12) + 27/108. Let i(q) be the second derivative of 0*q**2 + m*q**4 + 0 + q - 1/3*q**3. Factor i(f).
2*f*(f - 1)
Let t be (2/(-42))/(2/(12/(-2))). Let p(a) be the second derivative of -t*a**2 + 0 + 3*a + 2/21*a**3 - 1/42*a**4. Determine b, given that p(b) = 0.
1
Let d(n) be the first derivative of 0*n**4 + 0*n**2 + 2/15*n**5 - 2/9*n**3 + 0*n - 3. Factor d(a).
2*a**2*(a - 1)*(a + 1)/3
Let d(x) be the first derivative of -x**8/13440 + x**6/960 - x**5/480 - x**3/3 - 5. Let h(c) be the third derivative of d(c). Let h(m) = 0. What is m?
-2, 0, 1
Let k(m) be the first derivative of -m**4/42 - 2*m**3/21 - 5*m + 4. Let c(z) be the first derivative of k(z). Factor c(b).
-2*b*(b + 2)/7
Let 1 - 3*x + 33/2*x**3 - 23/4*x**2 - 35/4*x**4 = 0. Calculate x.
-2/5, 2/7, 1
What is q in -6*q - q**2 - 5*q + 8*q - 4*q - 6 = 0?
-6, -1
Suppose 0*a = 4*a - 24. Let b(o) be the second derivative of 2/27*o**3 - 2*o + 1/45*o**a + 4/45*o**5 + 7/54*o**4 + 0 + 0*o**2. Factor b(r).
2*r*(r + 1)**2*(3*r + 2)/9
Let a(c) be the third derivative of 0*c**3 - 1/210*c**6 + 1/588*c**8 + 2/735*c**7 + 0*c + 0 + 0*c**4 - 1/105*c**5 - c**2. Factor a(v).
4*v**2*(v - 1)*(v + 1)**2/7
Let k(b) = 7*b**2 - 2*b + 5. Let r(d) = -10*d**2 + 3*d - 7. Suppose -19 = -5*f + 16. Let o(u) = f*k(u) + 5*r(u). Factor o(t).
-t*(t - 1)
Factor -8/7*h**2 + 0 - 2/7*h**3 + 0*h.
-2*h**2*(h + 4)/7
Factor 16/7 - 8/7*s - 12/7*s**2 + 2/7*s**4 + 2/7*s**3.
2*(s - 2)*(s - 1)*(s + 2)**2/7
Let k(r) be the first derivative of -2 - r**2 + 1/3*r**3 + 0*r. Solve k(u) = 0 for u.
0, 2
Let t(w) be the first derivative of 0*w**2 + 1/18*w**3 + 1 + 0*w. Let t(p) = 0. Calculate p.
0
Suppose 24*w + 6 = 21*w. Let z be ((-28)/(-105))/(w/(-20)). Factor 16/3*d**4 + z*d - 8/3*d**3 - 1/3 - 5*d**2.
(d - 1)*(d + 1)*(4*d - 1)**2/3
Determine x so that 0 + 8/5*x - 56/5*x**2 + 98/5*x**3 = 0.
0, 2/7
What is t in -5*t**4 - 4*t**4 + 3*t**5 + 6*t**4 = 0?
0, 1
Factor -2*s + 26*s + 3*s**2 - 13*s + 7*s + 27.
3*(s + 3)**2
Let n = -9 - -13. Let u be 2 + (-3)/3 - 0. Factor -u - 3*i + 4*i**4 - 2*i**4 - i**2 + 3*i**3 + 0*i**n.
(i - 1)*(i + 1)**2*(2*i + 1)
Let n(s) = -8*s**4 + 20*s**3 + 21*s**2 - 10*s - 23. Let m(l) = -7*l**4 + 19*l**3 + 21*l**2 - 11*l - 22. Let v(a) = -5*m(a) + 4*n(a). Factor v(d).
3*(d - 6)*(d - 1)*(d + 1)**2
Let v(x) = 8*x**2 + 19*x + 11. Let h(o) = 12*o**2 + 29*o + 17. Let s(c) = -5*h(c) + 7*v(c). Factor s(r).
-4*(r + 1)*(r + 2)
Let t = 2/51 - -28/153. Determine l so that 0 - t*l + 2/9*l**3 + 0*l**2 = 0.
-1, 0, 1
Let f(h) be the first derivative of 2*h**6/21 + 16*h**5/35 + 6*h**4/7 + 16*h**3/21 + 2*h**2/7 - 4. Factor f(d).
4*d*(d + 1)**4/7
Let x(i) = i - 1. Let w(s) = -5*s - 1. Let b be w(-1). Let q be x(b). Factor 4/5*h**2 + 2/5*h**q + 0 + 2/5*h.
2*h*(h + 1)**2/5
Suppose 0 = -2*z + 9 - 1. Factor p**z + 3*p**2 + p**2 - 5*p**2.
p**2*(p - 1)*(p + 1)
Let l(p) be the third derivative of p**5/60 - p**4/12 + p**3/6 - 5*p**2. Solve l(i) = 0 for i.
1
Find o, given that 8*o**4 + 18 + 97*o + 58*o**3 + 21*o - 16*o + 134*o**2 = 0.
-3, -1, -1/4
Factor -6*k**2 - 5*k**3 - 3*k + 3*k**3 - k**3.
-3*k*(k + 1)**2
Let w(d) = -d**2. Let b be w(-1). Let k = 3/2 + b. Factor 1/2*j**3 - 1/2*j + 1/2 - k*j**2.
(j - 1)**2*(j + 1)/2
Let f be (1/(-5))/(((-72)/20)/6). Factor 1/3*i - f*i**2 + 0.
-i*(i - 1)/3
Let f(b) = -b**4 + b**3 + 5*b**2 - 5. Let h(o) = o**2 - 1. Let w(x) = f(x) - 5*h(x). Determine v, given that w(v) = 0.
0, 1
Let h(x) = x**4 + x**3 + x**2 + 1. Let v(z) = 12*z**4 + 6*z**3 + 2*z**2 + 2*z + 10. Let y(b) = -8*h(b) + v(b). Factor y(w).
2*(w - 1)**2*(w + 1)*(2*w + 1)
Factor 13*t - 5*t**2 - 3*t + 0*t.
-5*t*(t - 2)
Let q(x) = -2*x**2 + 19*x + 5. Let z(f) = f**2 - 10*f - 3. Let c(u) = 6*q(u) + 11*z(u). Factor c(i).
-(i - 3)*(i - 1)
Suppose 2 = o - 2. Let h(u) = u**3 - 4*u**2 - u + 9. Let k be h(o). Suppose -1/3*b**k - 2/3 - 1/3*b + 2/3*b**3 - 2/3*b**4 + 4/3*b**2 = 0. What is b?
-2, -1, 1
Let n(r) = -r - 7. Let f be n(-9). Factor -6*d**f + 0*d**2 + 4*d**2 - 2*d**3 + 0*d**2 + 2*d**5 + 2*d**4.
2*d**2*(d - 1)*(d + 1)**2
Let f be ((-3)/(-27))/((-4)/(-6)). Let a(r) be the second derivative of -f*r**3 + 1/20*r**5 - 1/6*r**4 + r**2 + 0 + 2*r. Suppose a(k) = 0. What is k?
-1, 1, 2
Let n(b) = b**2 - 7*b + 4. Let t be n(0). Determine c so that 0*c**3 + 0 + 0*c + 2/11*c**t - 2/11*c**2 = 0.
-1, 0, 1
Let o(y) = -4*y**2 - 4*y - 10. Let r(a) = -a**2 - a - 1. Let b(m) = 2*o(m) - 12*r(m). Suppose b(d) = 0. What is d?
-2, 1
Let n(w) be the third derivative of w**7/1470 - w**6/840 - w**5/210 + w**2 + 11*w. Find y, given that n(y) = 0.
-1, 0, 2
Let g be 3 - 1 - (-18)/(-10). Let s(o) be the second derivative of 0 + 1/15*o**3 - g*o**2 - 2*o + 1/15*o**4. Factor s(q).
2*(q + 1)*(2*q - 1)/5
Let i = -131/10 - -31/2. Factor -16/5*a + 16/5*a**3 - 16/5 + 4/5*a**4 + i*a**2.
4*(a - 1)*(a + 1)*(a + 2)**2/5
Let q(u) = u + 11. Let t be (-58)/8 + 2/8. Let p be q(t). Factor p*d + 2*d**2 - d - d**2 + 2.
(d + 1)*(d + 2)
Let k(l) = 2*l - 4. Let c be k(6). Solve -2*m**3 - 51*m**4 - m**3 + 15*m**2 + 28*m**5 + 3*m + c*m**5 = 0 for m.
-1/3, -1/4, 0, 1
Suppose 9*y - 21 = 2*i + 4*y, 4*y - 14 = 3*i. Factor -3*v**i - 4 + 4*v + v + 2*v**2 - v.
-(v - 2)**2
Let g(n) be the first derivative of 3 + 1/132*n**4 - 2/33*n**3 + 0*n + 1/330*n**5 - 1/2*n**2. Let z(r) be the second derivative of g(r). Factor z(i).
2*(i - 1)*(i + 2)/11
Let h(w) = w + 2. Let a = 2 - 2. Let t be h(a). Factor 0*l**4 + 2/3*l**5 + 2/3*l - 4/3*l**3 + 0*l**t + 0.
2*l*(l - 1)**2*(l + 1)**2/3
Find b, given that 0 + 0*b - 3*b**2 - 6*b**4 - 3/2*b**5 - 15/2*b**3 = 0.
-2, -1, 0
Let w(g) be the second derivative of -g**4/72 - g**3/18 - g**2/12 + 5*g. Let w(l) = 0. Calculate l.
-1
Suppose -4*y = 17 - 5. Let k be 2*y/9*