ive of 1/10*n**5 + 1/126*n**7 + w*n**3 + 0 - 1/9*n**4 + 0*n**2 - 2/45*n**6 - 3*n. Solve g(b) = 0 for b.
0, 1
Let t(l) be the third derivative of -1/15*l**5 + 1/10*l**6 + 0*l + 0 + 8/105*l**7 + 0*l**3 + 4*l**2 + 0*l**4. Suppose t(n) = 0. What is n?
-1, 0, 1/4
Suppose l + 19 - 21 = 0. Let v(x) be the third derivative of 1/60*x**5 + 0*x**3 + 0*x**4 + 0 + 1/60*x**6 + 1/210*x**7 + 0*x - l*x**2. Let v(u) = 0. What is u?
-1, 0
Factor 4/3*w + 2 - 2/3*w**2.
-2*(w - 3)*(w + 1)/3
Let g be 2/11 - (-2 + (-194)/(-99)). Determine z so that 0 + g*z + 2/9*z**2 = 0.
-1, 0
Let v(m) = m**3 + 8*m**2 - 4*m - 9. Let w be v(-7). Let j be 3 - w/14 - -3. Solve -8/7*h + 4/7*h**3 - j*h**2 - 2/7 + 10/7*h**4 + 4/7*h**5 = 0.
-1, -1/2, 1
Solve -2*m**4 - 2*m**2 + 0 - 1/2*m - 3*m**3 - 1/2*m**5 = 0 for m.
-1, 0
Let o(l) be the second derivative of -29/10*l**5 - 5*l**3 + 0 + 2*l**2 + 9*l + 3/5*l**6 + 11/2*l**4. Factor o(g).
2*(g - 1)**3*(9*g - 2)
Let t(n) be the third derivative of n**6/1080 - n**5/360 + n**3/6 + 2*n**2. Let u(v) be the first derivative of t(v). Factor u(m).
m*(m - 1)/3
Let s = 5 - 3. Suppose 11*c = 13*c - 8. Suppose 2*u**s + 0*u**3 + 2*u**3 + 3*u**c - 4*u + 2*u - 5*u**4 = 0. What is u?
-1, 0, 1
Let k(v) be the third derivative of 0*v**3 + 0 + 2*v**2 - 1/72*v**4 + 1/180*v**5 + 0*v. Factor k(t).
t*(t - 1)/3
Let g(n) be the first derivative of 0*n + 1/6*n**3 + 3 - 1/2*n**2. Factor g(r).
r*(r - 2)/2
Let o(r) be the third derivative of r**6/24 - 5*r**5/12 + 35*r**4/24 - 5*r**3/2 - 15*r**2. Suppose o(z) = 0. What is z?
1, 3
Let s be ((-9)/6)/(6/(-8)). Suppose 0 = -s*q + q. Factor 0 + 2/3*d**2 + q*d.
2*d**2/3
Let r(i) be the first derivative of i**5/5 - 5*i**4/6 + 28*i**3/27 - 4*i**2/9 + 9. Solve r(q) = 0 for q.
0, 2/3, 2
Suppose -16*y = 43 - 75. Find b such that -y - 2*b + 1/2*b**2 + 1/2*b**3 = 0.
-2, -1, 2
Suppose 5*u - 17 = 8. Let p(l) be the first derivative of 1/15*l**6 - 2 + 2/5*l**2 + 0*l - 14/15*l**3 + 9/10*l**4 - 2/5*l**u. Let p(v) = 0. Calculate v.
0, 1, 2
Let y(t) be the first derivative of 5*t**4/4 + 20*t**3/3 + 25*t**2/2 + 10*t + 2. Determine g, given that y(g) = 0.
-2, -1
Let d(n) = -n**2 - 5*n + 24. Let y be d(-8). Let c(j) be the second derivative of 1/15*j**3 + y*j**2 + 1/60*j**4 + 2*j + 0. Suppose c(s) = 0. What is s?
-2, 0
Let h(n) be the first derivative of -n**7/840 + n**6/120 - n**5/60 + 3*n**3 - 1. Let z(j) be the third derivative of h(j). Solve z(r) = 0.
0, 1, 2
Let q(j) = 2*j**5 + j**4 + 37*j**3 + 35*j**2 + 19*j + 11. Let s(a) = -a**5 - 19*a**3 - 18*a**2 - 10*a - 6. Let n(f) = 6*q(f) + 11*s(f). Factor n(g).
g*(g + 1)**2*(g + 2)**2
Let m(t) = -26*t**3 - 26*t**2. Let l(p) = 9*p**3 + 9*p**2. Let i(d) = 14*l(d) + 5*m(d). Factor i(k).
-4*k**2*(k + 1)
Let d be (-2 - 24/(-10)) + (-5)/75. Factor 0 - 4/3*k**4 - 2/3*k**2 + d*k - 7/3*k**3.
-k*(k + 1)**2*(4*k - 1)/3
Let d(y) be the second derivative of 0 - 5/39*y**4 + 0*y**2 + 6/65*y**5 + 1/13*y**3 - 7*y + 1/273*y**7 - 2/65*y**6. What is i in d(i) = 0?
0, 1, 3
Suppose -9*u + u = -40. Let d be (-12)/(-36) + u/3. What is m in -2/3*m**3 - 4/3*m**4 + 0*m**d + 0*m - 2/3*m**5 + 0 = 0?
-1, 0
Let f be 2/(-8) + 238/408. Factor f*d**3 + 1/3*d + 2/3*d**2 + 0.
d*(d + 1)**2/3
Let q(n) be the first derivative of 3*n**3 + 9/4*n**4 + 3/5*n**5 + 0*n - 6 + 3/2*n**2. Suppose q(x) = 0. Calculate x.
-1, 0
Let -24*q**3 + 2*q**2 + 2*q + 22*q**3 + 2*q = 0. Calculate q.
-1, 0, 2
Let w(q) be the first derivative of 3*q**4/8 - 3*q**3/2 + 3*q**2/2 - 4. Factor w(l).
3*l*(l - 2)*(l - 1)/2
Solve 0 - 2/5*d + 2/5*d**2 = 0 for d.
0, 1
Let l(b) be the first derivative of -b**6/360 - b**5/30 - b**4/6 + 2*b**3/3 - 1. Let i(c) be the third derivative of l(c). Factor i(q).
-(q + 2)**2
Let z(q) = -32*q**4 + 75*q**3 + 122*q**2 - 58*q - 90. Let b(x) = -11*x**4 + 25*x**3 + 41*x**2 - 19*x - 30. Let j(r) = -17*b(r) + 6*z(r). What is k in j(k) = 0?
-1, 1, 6
Let l(t) be the second derivative of -t**5/100 + t**4/60 + t**3/3 + 4*t**2/5 - 21*t. Let l(v) = 0. What is v?
-2, -1, 4
Let z(f) be the third derivative of f**8/1008 - f**7/63 + f**6/12 - 2*f**5/9 + 25*f**4/72 - f**3/3 - 48*f**2. Factor z(n).
(n - 6)*(n - 1)**4/3
Let s(p) be the second derivative of -9*p**5/20 - p**4/4 + 3*p. Factor s(b).
-3*b**2*(3*b + 1)
Suppose 5*t - 13 = 3*t - 5*v, 5*t = -3*v - 15. Let p be (2/15)/(t/(-18)). Factor p*h + 1/5 + 1/5*h**2.
(h + 1)**2/5
Let b(i) be the third derivative of i**6/8 - i**4/12 + i**3/6 + i**2. Let u be b(1). Suppose -r**2 + 4*r**3 - u*r**5 - 10*r**4 + r**2 = 0. Calculate r.
-1, 0, 2/7
Let n(y) be the third derivative of -y**6/30 - 3*y**5/20 - y**4/4 - y**3/6 + 5*y**2. Factor n(m).
-(m + 1)**2*(4*m + 1)
Factor 4*j**2 + 0 + 3 - 19.
4*(j - 2)*(j + 2)
Let n(i) be the third derivative of -i**7/735 + i**6/105 - i**5/42 + i**4/42 - 7*i**2. Factor n(p).
-2*p*(p - 2)*(p - 1)**2/7
Let c(j) = -2*j**2 + 4. Let l = 11 - 8. Let p(h) = -l*h - 2 + 2*h + 2*h**2 - 3. Let q(x) = 5*c(x) + 4*p(x). Factor q(m).
-2*m*(m + 2)
Factor 1/3*n**2 + 2/3 - n.
(n - 2)*(n - 1)/3
Let l(h) = -h**3 + 4*h**2 - h - 4. Let z be l(3). Let k be (4 + -2)/z*0. Let 1/3*w**4 + k*w**2 - 1/3 - 2/3*w**3 + 2/3*w = 0. What is w?
-1, 1
Let j = 260 - 3898/15. Let a(x) be the first derivative of -2/5*x - j*x**3 + 2/5*x**2 + 3. Suppose a(n) = 0. Calculate n.
1
Let g(z) = 160*z**4 - 25*z**3 - 95*z**2 - 65*z. Let j(i) = -20*i**4 + 3*i**3 + 12*i**2 + 8*i. Let d(v) = -3*g(v) - 25*j(v). Factor d(n).
5*n*(n - 1)*(2*n + 1)**2
Let g(f) be the third derivative of f**9/3024 + f**8/840 + f**7/840 + f**3/2 + 4*f**2. Let x(b) be the first derivative of g(b). Factor x(v).
v**3*(v + 1)**2
Let i(j) be the first derivative of -j**3 - 1/4*j**4 + 0*j**2 - 3 - j. Let u(z) be the first derivative of i(z). Let u(v) = 0. What is v?
-2, 0
Let n(h) = 17*h**2 + 8*h + 8. Let t(u) = -6*u**2 - 3*u - 3. Let p(v) = -3*n(v) - 8*t(v). Solve p(m) = 0 for m.
0
Let f(d) = -d**5 - 16*d**4 - 13*d**3 + 12*d**2 + 19*d - 1. Let r(m) = -m**5 - 8*m**4 - 6*m**3 + 6*m**2 + 9*m. Let i(w) = -2*f(w) + 5*r(w). Factor i(q).
-(q - 1)*(q + 1)**3*(3*q + 2)
Let x = -74 - -815/11. Let i(u) be the first derivative of 4/11*u - 2/33*u**3 - x*u**2 - 1. What is p in i(p) = 0?
-2, 1
Suppose -2*g + g + 1 = 3*h, -3*g + 4*h + 16 = 0. Suppose 8 = g*r - 0*r. Factor -r*u**2 - u**3 - 4*u**3 + 3*u**3.
-2*u**2*(u + 1)
Let z(n) = -6*n**2. Let s(l) be the third derivative of -l**5/60 - l**4/24 - 2*l**2. Let q(m) = 3*s(m) - z(m). Find j, given that q(j) = 0.
0, 1
Let f = 4 - 0. Suppose -7 = -f*d + 5. Factor -2/5 - 9/5*q - 3/5*q**2 + 4/5*q**d.
(q - 2)*(q + 1)*(4*q + 1)/5
Suppose -10*x + 11*x = 6. Let c(w) be the third derivative of 1/90*w**5 + 0*w + 0*w**4 - 2*w**2 + 0 + 0*w**3 + 1/180*w**x. Factor c(h).
2*h**2*(h + 1)/3
Let d(j) = 1. Let b(t) = -2*t**2 - 16*t - 18. Let u(q) = 2*b(q) - 28*d(q). Suppose u(l) = 0. Calculate l.
-4
Suppose -15 = -5*d - 3*p + 8, -d = 3*p - 7. Let k(b) be the second derivative of 1/11*b**2 - 1/22*b**d - 3*b + 2/33*b**3 + 0. Factor k(h).
-2*(h - 1)*(3*h + 1)/11
Let z(o) be the first derivative of -o**3/3 - 5*o**2/2 - 4*o + 10. Factor z(b).
-(b + 1)*(b + 4)
Factor -f**5 - 2*f**2 + 2*f**3 - 23*f + 24*f - 2*f**3 + 2*f**4.
-f*(f - 1)**3*(f + 1)
Let f(n) = -n**2 - 3*n + 2. Let t(c) = -c. Let d(j) = f(j) - 2*t(j). Factor d(y).
-(y - 1)*(y + 2)
Let r(x) be the first derivative of 0*x**2 + 1/3*x**3 - 1/36*x**4 - 1 + 1/1080*x**6 + 1/360*x**5 + 0*x. Let y(g) be the third derivative of r(g). Factor y(k).
(k - 1)*(k + 2)/3
Let x = 19 - 21. Let z be 7/((-7)/x) - 0. What is u in 2/3*u**z - 2/3*u - 2/3 + 2/3*u**3 = 0?
-1, 1
Let l(c) be the third derivative of c**8/378 - 11*c**7/945 + c**6/60 - c**5/270 - c**4/108 - c**2. Factor l(j).
2*j*(j - 1)**3*(4*j + 1)/9
Let p(q) be the third derivative of -q**8/80 + 6*q**7/175 - 3*q**6/200 - q**5/50 - 4*q**2. Determine a so that p(a) = 0.
-2/7, 0, 1
Let 0*s**2 - 2/5*s**3 + 0 + 2/5*s = 0. Calculate s.
-1, 0, 1
Let t = 3 + -1. Find j such that -1 + 0*j + 1 + 2*j**3 + 2*j**2 - t*j - 2 = 0.
-1, 1
Factor 0 + 0*q**3 + 1/2*q**4 + 0*q**2 + 0*q + 1/2*q**5.
q**4*(q + 1)/2
Suppose -r = 5*c - 10, -4*r = -2*r. Factor -c*n**2 + n**2 - 4*n - 2*n**2 - 2*n.
-3*n*(n + 2)
Suppose -46*j**2 + 45*j**2 - 4*j**4 - 2*j**3 + 2*j + 5*j**4 = 0. Calculate j.
-1, 0, 1, 2
Let d(c) be the first derivative of c**6/8 - 3*c**5/20 - c**4/4 + 7*c**2/2 - 7. 