rd derivative of a**8/1344 + 11*a**7/840 + 17*a**6/240 + 23*a**5/120 + 29*a**4/96 + 7*a**3/24 + 16*a**2. Factor n(l).
(l + 1)**4*(l + 7)/4
Let f(m) = -m + 1. Let w be f(-3). Suppose -3*x + 5*z = -x - w, -6 = -3*x + 4*z. Factor 3*s**3 + 10*s**4 - 8*s**2 - 2*s**x + s**3 - 4*s.
2*s*(s - 1)*(s + 1)*(5*s + 2)
Let b = -180 - -343/2. Let m = -8 - b. Factor 1/2*d + d**2 + m*d**3 + 0.
d*(d + 1)**2/2
Let m(j) be the third derivative of -j**7/28 + j**6/24 + j**5/6 - 5*j**4/24 - 5*j**3/12 + 55*j**2. Solve m(p) = 0.
-1, -1/3, 1
Let n be ((-9)/12)/((-15)/16). Let l(g) be the first derivative of 0*g + n*g**5 + 0*g**3 + 1/3*g**6 + 0*g**2 - 1 + 1/2*g**4. Factor l(w).
2*w**3*(w + 1)**2
Let c(f) be the third derivative of f**6/420 - f**5/210 - f**4/84 + f**3/21 + 6*f**2. Factor c(o).
2*(o - 1)**2*(o + 1)/7
Let g = -10 + 11. Let q = 3 - g. Determine i, given that 0*i**3 - 7*i - q*i - 3*i**3 + 0*i - 3 - 9*i**2 = 0.
-1
Factor 12*a**2 + 2*a**3 - 6*a**4 + 12*a - a**3 - 10*a**3 + 3*a**5.
3*a*(a - 2)**2*(a + 1)**2
Suppose 0 = -5*j + 20, 36 = o + 5*j + 13. Let g(t) be the first derivative of 1/4*t**2 + 0*t + 1/12*t**o - 2. Factor g(h).
h*(h + 2)/4
Let z(b) = -4*b**2 - 3*b - 15. Let s(m) = -4 - m**2 + 6*m + 0*m**2 - 7*m. Let l(o) = 22*s(o) - 6*z(o). Solve l(t) = 0 for t.
1
Suppose -j + 0*j - 5 = 0. Let m be -7 + 4 - 17/j. Factor -2/5 + 4/5*k - m*k**2.
-2*(k - 1)**2/5
Let p(g) be the third derivative of 0*g + 0*g**4 + 0 + 8*g**2 - 2/105*g**7 + 2/15*g**5 - 1/30*g**6 + 0*g**3. Suppose p(r) = 0. Calculate r.
-2, 0, 1
Let m(s) = s + 2. Let y be m(2). Let g(b) be the second derivative of -1/6*b**3 + 0 - 2*b - 1/48*b**y - 1/2*b**2. Let g(u) = 0. Calculate u.
-2
Let r(c) be the first derivative of 0*c - 9 + 2/3*c**3 + c**2. Find a, given that r(a) = 0.
-1, 0
Let o(h) be the third derivative of 0*h + 0 + 1/12*h**4 + 6*h**2 + 1/30*h**5 + 0*h**3. Find i such that o(i) = 0.
-1, 0
Let q be 132/(-88)*3/((-9)/10). Let v(u) be the third derivative of -3*u**2 + 0*u**4 + 0*u - 1/120*u**q + 0 + 1/12*u**3. Solve v(y) = 0 for y.
-1, 1
Suppose 2*s + 0*s - 8 = -n, -3*s = -2*n - 5. Solve 10*i**4 + 7*i**3 + i**2 - i**3 - 2*i - 3*i**n + 4*i**5 = 0.
-1, 0, 1/2
Let y(l) be the first derivative of l**8/2520 + l**7/630 + l**6/540 - 2*l**3/3 - 2. Let s(z) be the third derivative of y(z). Factor s(g).
2*g**2*(g + 1)**2/3
Factor -3/2*i**2 + 3/2*i - 1/2 + 1/2*i**3.
(i - 1)**3/2
Let n(s) be the first derivative of 45*s**3 - 130*s**2 - 20*s - 47. Factor n(m).
5*(m - 2)*(27*m + 2)
Let z(c) be the second derivative of -4/5*c**6 + 0*c**2 + 0*c**3 + 0 - 3*c + 1/3*c**4 - 1/3*c**7 - 3/10*c**5. Factor z(k).
-2*k**2*(k + 1)**2*(7*k - 2)
Let h(p) = -3*p - 33. Let v be h(-12). Let a be 0 + 5/((-30)/(-64)). Factor -49/3*c**v - 4/3 - a*c - 77/3*c**2.
-(c + 1)*(7*c + 2)**2/3
Suppose 0*f - 5*f - 4*x = 7, 5*f - 3*x + 21 = 0. Let c be (f/2 - -2)*2. Let y(b) = b - 1. Let a(p) = 3*p**2 + 1. Let l(j) = c*a(j) + y(j). Factor l(n).
n*(3*n + 1)
Let d(o) = 5*o**2 + 3*o + 2. Let n(v) = v**2 + 5*v - 1. Let z be n(-5). Let x be d(z). Find l, given that 0*l**2 + 0*l + 0 - 2/5*l**5 - 2/5*l**x + 0*l**3 = 0.
-1, 0
Suppose -5*a = 5*b, -2*b - 2*a + 7*a = -21. Factor 0 + 0*j - 2/7*j**b + 2/7*j**2.
-2*j**2*(j - 1)/7
Let t be (-4)/8*5*-2. Let b(l) be the first derivative of 5/2*l**4 + 2 + 4/5*l**t + 0*l + 8/3*l**3 + l**2. Find c, given that b(c) = 0.
-1, -1/2, 0
Let 0 - 3/7*p**3 + 0*p - 3/7*p**2 = 0. What is p?
-1, 0
Let q(v) = 3*v**3 - 2*v**2 + 2*v - 1. Let m be q(1). What is w in -4 + 4 + 0 + 2*w**4 - 4*w**2 + m = 0?
-1, 1
Let s(p) = -p**2 - 10*p - 20. Let x be s(-6). Let r(q) be the first derivative of -1/10*q**5 - 1/2*q + 0*q**x + 3 + 0*q**2 + 1/3*q**3. Factor r(g).
-(g - 1)**2*(g + 1)**2/2
Let j = 2546251/525 - 4850. Let k(w) be the third derivative of 0*w**3 - 2*w**2 + 0 + 1/300*w**6 + 0*w + j*w**7 - 1/60*w**4 - 1/150*w**5. Factor k(f).
2*f*(f - 1)*(f + 1)**2/5
Let f(n) be the second derivative of -1/6*n**4 - 2*n + 2/3*n**3 - n**2 + 0. Factor f(u).
-2*(u - 1)**2
Let b(i) be the first derivative of -2*i**6/3 + 2*i**4 - 2*i**2 + 2. Factor b(d).
-4*d*(d - 1)**2*(d + 1)**2
Let q be 7238/(-72) + 2/(-8). Let s = 101 + q. Factor -2/9*t**2 + s*t + 0.
-2*t*(t - 1)/9
Let k(d) = d**4 - d**3. Let t(y) = 6*y**4 - 18*y**2. Let f(b) = 3*k(b) - t(b). Factor f(m).
-3*m**2*(m - 2)*(m + 3)
Suppose -10*w + 40 = -2*w. Let h(a) be the third derivative of 2*a**2 + 0*a**3 + 1/45*a**w + 0*a + 1/180*a**6 + 0 + 0*a**4. Determine v so that h(v) = 0.
-2, 0
Let m be (1/3)/(5/45). Let d be 2 + m + 2/(-6). Factor 0 + 4/3*y**2 + 8/3*y**4 - d*y**3 + 2/3*y.
2*y*(y - 1)**2*(4*y + 1)/3
Let q = 871/2 - 434. Determine f so that -3/4*f + 3/4*f**3 + 3/2*f**2 - q = 0.
-2, -1, 1
Suppose -5*x - 11 = 3*r, 5 - 1 = 2*x - 3*r. Let j be x/(-2)*4 + 1. Factor -2*c**2 + j*c - 3*c - 2*c.
-2*c*(c + 1)
Let m(u) be the first derivative of -2*u**7/105 + 3*u**6/40 - u**5/10 + u**4/24 + 2*u**2 + 3. Let v(y) be the second derivative of m(y). Solve v(h) = 0.
0, 1/4, 1
Let x be (-9)/7 - 6/(-21). Let j be 0/(x*3) - -4. Factor 2 - j*s + 3*s**4 + 4*s**3 + 0*s**4 - 5*s**4.
-2*(s - 1)**3*(s + 1)
Let m = 1 - -5. Let g be (-4)/14 - 60/(-14). Factor z**g - 7 + 2*z**2 + m - 2*z**4.
-(z - 1)**2*(z + 1)**2
Let t(b) be the third derivative of -b**8/1176 + b**6/42 - 2*b**5/21 + 5*b**4/28 - 4*b**3/21 + 11*b**2. Let t(c) = 0. What is c?
-4, 1
Let b be (56/(-105))/((-1 + 5)/(-2)). Factor b*f**2 + 2/15*f**3 + 2/15*f + 0.
2*f*(f + 1)**2/15
Let z(b) = -3*b**3 + 11*b**2 + 14*b - 11. Let f(n) = -10*n**2 + n. Let v be f(-1). Let x(h) = h**3 - 4*h**2 - 5*h + 4. Let y(d) = v*x(d) - 4*z(d). Factor y(k).
k*(k - 1)*(k + 1)
Let l(u) be the second derivative of -49*u**6/6 + 175*u**5/4 - 155*u**4/2 + 170*u**3/3 - 20*u**2 + 15*u. Solve l(t) = 0 for t.
2/7, 1, 2
Let c = -134/65 + 32/13. Factor -2/5 + c*o**2 + 0*o.
2*(o - 1)*(o + 1)/5
Let j(v) be the third derivative of v**8/2016 - v**6/720 + 11*v**2. Factor j(w).
w**3*(w - 1)*(w + 1)/6
Let l(u) be the first derivative of -u**3/6 - u**2/4 + u + 1. Factor l(b).
-(b - 1)*(b + 2)/2
Let f = 109/3 + -36. Let l(n) be the first derivative of -2/3*n**3 + 2/3*n**2 - 1/15*n**5 + 1/3*n**4 - f*n - 2. Factor l(m).
-(m - 1)**4/3
Suppose 14 = -3*k + 5*d, -2 = -3*k + d - 0*d. Let q(p) be the first derivative of 0*p + p**3 - p**k - 1/5*p**5 - 1 + 0*p**4. Suppose q(o) = 0. Calculate o.
-2, 0, 1
Let q(j) = 7*j**2 + 4*j + 1. Let s(t) = -2*t + t - t**2 - t + t. Let p(m) = -q(m) - 6*s(m). What is z in p(z) = 0?
1
Factor -8*r**3 - 266*r - 12*r**2 + 4 + 266*r.
-4*(r + 1)**2*(2*r - 1)
Let -15*p**2 - 10*p + 3307 - 3307 = 0. Calculate p.
-2/3, 0
Let w(y) be the third derivative of -y**6/240 - y**5/120 + y**4/48 + y**3/12 - 4*y**2. Find d such that w(d) = 0.
-1, 1
Let g(k) = 3*k**2 - 3*k + 6. Let r(c) = c**2 - c + 1. Let i(w) = -w - 6. Let y be i(-5). Let s(n) = y*g(n) + 4*r(n). Suppose s(x) = 0. What is x?
-1, 2
Let n = -21 - -24. What is m in 3*m**3 + 0*m**n - 19*m**2 + 19*m**2 = 0?
0
Factor -2/3*f**4 + 0*f - 2*f**3 + 0 - 4/3*f**2.
-2*f**2*(f + 1)*(f + 2)/3
Suppose v - 3*v + 4 = 0. Suppose -3 = -v*m + 1. Solve 0 - y**2 - 1 + 0*y**m + 2*y = 0.
1
Let s = -7 + 9. Determine n so that 0*n**s - n + n**3 + 1 + 4*n**2 - 5*n**2 = 0.
-1, 1
Let t(g) = 3*g**3 + g - 1. Let i be t(1). Let c(o) be the first derivative of -3/8*o**2 - 1/12*o**i - 1/2*o + 1. What is b in c(b) = 0?
-2, -1
Let z(s) = -8*s**4 - 8*s**3 + 6*s**2 + 2*s - 10. Let i(q) = q**4 + q**3 + 1. Let o(c) = 6*i(c) + z(c). What is d in o(d) = 0?
-2, -1, 1
Let l(v) = -v**2 + 3*v + 2. Let k be l(3). What is f in -1 - 2*f - f + 3*f**2 - 7 + k = 0?
-1, 2
Let h(z) = z - 6. Let j be h(7). Let f(s) = 7*s**2 + s. Let m be f(j). Determine l so that m*l - 6*l**5 - 8*l - 4*l**4 = 0.
-2/3, 0
Suppose 0 = -2*h + 16*c - 17*c + 5, 3*c = 4*h + 15. Factor -12/5*o**4 + h*o - 3*o**3 - 3/5*o**5 + 0 - 6/5*o**2.
-3*o**2*(o + 1)**2*(o + 2)/5
Let j(z) be the first derivative of -2/15*z**3 + 2/25*z**5 + 0*z + 1/10*z**2 + 4 + 0*z**4 - 1/30*z**6. Factor j(d).
-d*(d - 1)**3*(d + 1)/5
Suppose 3*u - 5*f - 40 = 0, 2*f - 2 = 2*u - 22. Let o(k) be the second derivative of 0*k**3 - 1/100*k**u - 1/30*k**4 - 2*k + 0*k**2 + 0. Factor o(c).
-c**2*(c + 2)/5
Let h = -8 - -8. Let v = h + 3. Suppose -2*d**2 - d**4 + 3*d**4 - 2*d**v + d + d = 0. What is d?
-1, 0, 1
Suppose -3*f = -f - 2. Let p