alculate i.
-1, 2
Let d(j) be the third derivative of 0*j**6 + 0 + 0*j**5 + 0*j - 1/525*j**7 + 5*j**2 + 1/840*j**8 + 0*j**4 + 0*j**3. Factor d(k).
2*k**4*(k - 1)/5
Let n = 15 + -10. Suppose -7*c + 4*w + 28 = -3*c, -n*w = 3*c + 11. What is p in 9/2*p + 3/2*p**2 - 9/2*p**3 - c + 3/2*p**4 = 0?
-1, 1, 2
Let l = 1288 + -5137/4. Let 3*w**3 - l*w + 3/4*w**5 - 3*w**4 + 3/2 + 3/2*w**2 = 0. Calculate w.
-1, 1, 2
Let b(c) = -36*c**2 - 96*c - 16. Let u(m) = 15*m**3 - m + 2. Let r be u(1). Let j(g) = -7*g**2 - 19*g - 3. Let h(w) = r*j(w) - 3*b(w). Factor h(f).
-4*f*(f + 4)
Find p, given that 0*p**2 - 3/2*p - 1 + 1/2*p**3 = 0.
-1, 2
Let r = 16687 + -116807/7. Factor j**5 - r*j**2 + 0 + 0*j + 3/7*j**3 + 12/7*j**4.
j**2*(j + 1)**2*(7*j - 2)/7
Let c(w) be the first derivative of w**6/1980 - w**4/132 + 8*w**3/3 - 11. Let y(g) be the third derivative of c(g). Let y(b) = 0. Calculate b.
-1, 1
Let r(j) = j**4 - 6*j**3 + 4*j**2 + 6*j - 1. Let i(x) = -9*x**2 - 8*x**2 + 0*x**2 - 4*x**4 + 25*x**3 + 3 - 3*x - 22*x. Let z(n) = 4*i(n) + 18*r(n). Factor z(b).
2*(b - 3)*(b - 1)**2*(b + 1)
Suppose -v = -x - 2*v + 2, -5*v = -x + 20. Let k(u) = u**2 - u + 1. Let w(p) = -10*p**2 + 5. Let f(z) = x*k(z) + w(z). Determine y so that f(y) = 0.
-2, 1
Factor -45/2 + 87/4*l + 3/4*l**2.
3*(l - 1)*(l + 30)/4
Determine h so that -960 - 28232*h**3 + 16875*h**4 - 49203*h**2 + 12303*h**2 - 8893*h**3 - 10480*h = 0.
-4/15, 3
Let y(f) be the second derivative of 0 + 0*f**2 - f + 0*f**3 + 1/45*f**6 + 1/15*f**5 + 1/18*f**4. Factor y(b).
2*b**2*(b + 1)**2/3
Let a(v) = 21*v**2 + 18*v - 21. Let n(b) = 2*b**2 + 2*b - 2. Let t(g) = a(g) - 9*n(g). Factor t(o).
3*(o - 1)*(o + 1)
Factor 2/11*r**2 + 2 - 24/11*r.
2*(r - 11)*(r - 1)/11
Let x(w) be the first derivative of -2*w**4 - 31*w**3/3 - 45*w**2/4 - 9*w/2 + 6. Factor x(n).
-(n + 3)*(2*n + 1)*(8*n + 3)/2
Let c(s) be the third derivative of 0 - 1/50*s**5 + 0*s**3 + 0*s**4 - 1/150*s**6 + 1/525*s**7 - 35*s**2 + 0*s. Factor c(k).
2*k**2*(k - 3)*(k + 1)/5
Suppose l - 2*t = 3*l - 16, 13 = l + 2*t. Let a be (-6)/(-2)*1/1. Factor 0*p**a + p**5 - p**2 + 0*p**5 - 3*p**4 + l*p**3.
p**2*(p - 1)**3
Suppose -2 = -5*i + 2*a, 0 = 3*i - 5*a - 0 - 5. Suppose -14*n + 15*n - 2 = i. Factor -5/3*z**3 + 0*z - 1/3*z**n - 4/3*z**4 + 0.
-z**2*(z + 1)*(4*z + 1)/3
Solve 0 + 141/2*b**2 + 35/2*b + 2*b**3 = 0.
-35, -1/4, 0
Suppose 5*z = -27*z. Let o(l) be the third derivative of -1/90*l**5 + 0 + 0*l**3 + 1/18*l**4 + 4*l**2 + z*l. Factor o(v).
-2*v*(v - 2)/3
Suppose 8*d - 5 = 7*d. Suppose d = 5*n - 0. Determine m, given that 2*m + n + 2*m**2 - 4*m**2 + 3 = 0.
-1, 2
Let v = 24238/7 - 13883/4. Let o = v + 35/4. Factor 6/7*c**2 + 4/7*c**3 + o*c + 1/7 + 1/7*c**4.
(c + 1)**4/7
Factor -2*x - 2/11*x**2 + 0.
-2*x*(x + 11)/11
Let i = 13 + -29. Let c(q) = q + 21. Let r be c(i). Solve 2*z - r*z + 8 - 14 - 2*z**2 - 5*z = 0.
-3, -1
Let k(i) be the first derivative of -9 + 5/3*i**3 + i**5 + 0*i + 0*i**2 + 5/2*i**4. Let k(u) = 0. What is u?
-1, 0
Let z(p) be the first derivative of -p**6/8 + 3*p**5/5 - 3*p**4/4 - p**3/2 + 15*p**2/8 - 3*p/2 - 158. Find y such that z(y) = 0.
-1, 1, 2
Let r(h) be the first derivative of -h**5/5 - h**4 - 2*h**3 - 2*h**2 + 7*h - 5. Let b(z) be the first derivative of r(z). Factor b(v).
-4*(v + 1)**3
Let x(w) be the third derivative of -w**7/4410 - w**6/630 - w**5/210 - 5*w**4/12 - 7*w**2. Let s(h) be the second derivative of x(h). Let s(f) = 0. What is f?
-1
Factor -5/4*l**3 + 0 - l - 1/4*l**4 - 2*l**2.
-l*(l + 1)*(l + 2)**2/4
Let y(q) be the first derivative of 2/5*q**2 + 2/15*q**3 + 0*q - 2/25*q**5 - 12 - 1/5*q**4. Factor y(u).
-2*u*(u - 1)*(u + 1)*(u + 2)/5
Let f = 15664 + -172298/11. Factor -2/11*q**5 + 0 + 4/11*q**4 + 0*q**2 + 0*q + f*q**3.
-2*q**3*(q - 3)*(q + 1)/11
Let s(y) be the second derivative of -y**4/3 + 6*y**3 - 40*y**2 + 60*y. Factor s(j).
-4*(j - 5)*(j - 4)
Let w(f) = 7*f**2 - 16*f - 3. Let i(y) = -y**2 + 2*y + 1. Let q(n) = 30*i(n) + 5*w(n). Solve q(o) = 0 for o.
1, 3
Let c(m) be the first derivative of -5*m**4/12 - 10*m**3 - 90*m**2 + 20*m + 6. Let i(h) be the first derivative of c(h). Factor i(l).
-5*(l + 6)**2
Suppose 2*v + 4*p + 5 = 3*p, 0 = 2*v - 3*p - 15. Suppose -3*u + 5*u + 11 = 5*l, -5*u + 2*l = -4. Solve -2 + v + 2*j**3 + 0*j + u*j**2 - 2*j = 0.
-1, 1
Let z(k) = k**4 - 9*k**3 + 34*k**2 - 40*k + 32. Let y(j) = -j**2 - j - 2. Let i(l) = -4*y(l) - z(l). What is n in i(n) = 0?
2, 3
Let x(h) = h**3 - 13*h**2 + 12*h + 15. Let z be x(12). Determine s so that -133 + 13*s**2 + 127 - 4*s**2 + z*s = 0.
-2, 1/3
Find d such that -163*d**3 - 40*d + 0*d - 120*d**3 + 319*d**3 - 4*d**2 = 0.
-1, 0, 10/9
Let m(i) = -i**2 + 2*i + 1. Let v(f) = -f**2 + 38*f + 31. Let x(q) = 4*m(q) - v(q). Let x(b) = 0. What is b?
-9, -1
Let c(k) = -2*k - 47. Let f be c(-19). Let l = f - -44. Find o, given that 16*o + 4*o + 22*o**3 - l*o**2 + 20*o**4 - 25*o**4 + 2*o**2 - 4 = 0.
2/5, 1, 2
Let b = -3 + 8. Factor 6*l - 17*l**5 + 6*l**2 + 14*l**b - 3*l**4 + 3*l**3 + 9*l**2 + 6*l**3.
-3*l*(l - 2)*(l + 1)**3
Let u be 0/2 - 0 - -2. Determine a, given that 10 - 26*a**2 + 12*a**u - 18*a + 20*a**2 + 2*a**3 = 0.
-5, 1
Let -3600 + 80*z - 4/9*z**2 = 0. What is z?
90
Let u(x) = -12*x**2 + x + 3. Let t be u(0). Let l(g) be the first derivative of -1/18*g**4 - 3*g**2 - 2/3*g**t + 3 - 6*g. Factor l(a).
-2*(a + 3)**3/9
Let s = 2/191 + 151/3820. Let k(r) be the first derivative of -1 + 1/5*r**3 - s*r**4 + 1/2*r**2 - 1/25*r**5 + 2/5*r. Determine o so that k(o) = 0.
-1, 2
Let f(h) be the second derivative of 0*h**4 - 7*h + 0 - 3/10*h**5 - 1/10*h**6 + h**3 + 3/2*h**2. Solve f(o) = 0 for o.
-1, 1
Find b such that -9*b**3 + 26*b - 20*b**3 + 12*b**2 + 6 + 28*b**3 + 8 + b = 0.
-1, 14
Suppose 3 = -3*s + 12, 19*d = -4*s + 88. Solve 0 - 1/2*a**3 - 1/2*a**d + 2*a**2 + 2*a = 0.
-2, -1, 0, 2
Let x(t) be the third derivative of -t**5/80 - 5*t**4/32 + 3*t**3 + 57*t**2. Factor x(d).
-3*(d - 3)*(d + 8)/4
Let r be 3/((-27)/(-183))*3. Factor -r*q**2 + 58*q**2 - 6*q + 3 - 3.
-3*q*(q + 2)
Let w(t) = 2*t**2 + 13*t + 8. Let u(g) = -3*g**2 - 13*g - 9. Let d(a) = -3*u(a) - 4*w(a). Let s(c) = c**2 - 7*c - 3. Let j(k) = 6*d(k) - 10*s(k). Factor j(l).
-4*l*(l + 2)
Let i(x) be the first derivative of -x**3/18 + 3*x**2/4 - 4*x/3 - 614. Factor i(l).
-(l - 8)*(l - 1)/6
Let r(y) be the second derivative of 0 - 25/3*y**3 + 125/2*y**2 + 5/12*y**4 + 39*y. Factor r(x).
5*(x - 5)**2
Let o(n) be the third derivative of -n**7/315 + n**6/36 + n**5/90 - 5*n**4/36 + 3*n**2. Find p such that o(p) = 0.
-1, 0, 1, 5
Suppose 2 = 2*a - 17*j + 19*j, 3*a + 2*j = 4. Let k(o) be the first derivative of -1/10*o**4 + 2/45*o**3 + 0*o**a - 1 + 4/75*o**5 + 0*o. Solve k(q) = 0 for q.
0, 1/2, 1
Let u(j) be the third derivative of j**6/585 + 3*j**5/260 + j**4/78 + 7*j**3/6 + 16*j**2. Let t(q) be the first derivative of u(q). Factor t(w).
2*(w + 2)*(4*w + 1)/13
Let w be (-15)/(-20) + 5/4. Let c(a) be the first derivative of -1/12*a**3 + 3/8*a**w - 1/2*a - 4. Factor c(f).
-(f - 2)*(f - 1)/4
Let n(p) = p**2 + 2*p - 1. Let d be n(-3). Suppose 0 = -2*j + 3*k + 1, -5*k + 4*k = 4*j - 9. Let d*q + q**3 - 3*q**j - 23 + 23 = 0. What is q?
0, 1, 2
Let a(c) be the first derivative of -c**3/6 - 15*c**2/4 + 17*c + 115. Factor a(d).
-(d - 2)*(d + 17)/2
Let g(p) be the second derivative of -p**7/7560 + 13*p**6/1080 - 169*p**5/360 - 17*p**4/12 + 4*p + 1. Let r(s) be the third derivative of g(s). Factor r(q).
-(q - 13)**2/3
Let a(y) be the third derivative of y**5/30 + 11*y**4/2 - 49*y**2. Factor a(j).
2*j*(j + 66)
Let y = 17 + 3. Find v, given that 1054*v - 1054*v + 5*v**4 + 20*v**2 - y*v**3 = 0.
0, 2
Let l(g) be the first derivative of 8/5*g**5 + 4 - 8/3*g**3 - g**4 + 2*g**2 + 0*g. Find s, given that l(s) = 0.
-1, 0, 1/2, 1
Let g be (-17)/(-12) + (-4 - (-11)/((-33)/(-10))). Factor g*z**3 + 3*z**2 + 15/4*z + 3/2.
3*(z + 1)**2*(z + 2)/4
Let g(f) be the second derivative of -2*f + 1/6*f**3 + 1/12*f**4 + 0 - f**2. Factor g(r).
(r - 1)*(r + 2)
Let i(s) be the second derivative of s**7/6720 + s**6/960 + s**5/320 + 2*s**4/3 + 10*s. Let g(h) be the third derivative of i(h). Factor g(k).
3*(k + 1)**2/8
Factor -3*i - 7/2 + 1/2*i**2.
(i - 7)*(i + 1)/2
Factor -26/3*a + 2/3*a**3 + 8 + 0*a**2.
2*(a - 3)*(a - 1)*(a + 4)/3
Let k(f) = 2*f**2 - f. Let u(q) = -30*q**2 + 24*q - 8. Let l(i)