- 4/13.
2*(j - 1)**2*(5*j - 2)/13
Let f(n) be the third derivative of n**7/350 - n**6/100 + n**4/20 - n**3/10 + 12*n**2. Factor f(y).
3*(y - 1)**3*(y + 1)/5
Let m = 1 + 2. Let h(l) be the first derivative of -1/2*l**4 + 0*l + 2 + 0*l**2 - 2/3*l**m + 1/3*l**6 + 2/5*l**5. Factor h(t).
2*t**2*(t - 1)*(t + 1)**2
Let g = -2/37 - -53/296. Let z(l) be the first derivative of -g*l**4 - 2 + 0*l**3 + 3/4*l**2 - l. What is x in z(x) = 0?
-2, 1
Determine i so that 0*i**2 - 1/4*i**3 + 1/2*i**4 + 0*i + 0 - 1/4*i**5 = 0.
0, 1
Let r(g) be the first derivative of -3*g**5/5 + 3*g**4/4 + 2*g**3 + 28. Factor r(f).
-3*f**2*(f - 2)*(f + 1)
Let d(f) be the second derivative of -1/3*f**2 + 2/9*f**4 + f + 0 + 1/20*f**5 + 1/6*f**3. Factor d(w).
(w + 1)*(w + 2)*(3*w - 1)/3
Let w(t) be the third derivative of 0 + 0*t**3 + 1/72*t**4 - 1/90*t**5 + 1/360*t**6 + t**2 + 0*t. Factor w(l).
l*(l - 1)**2/3
Let i(q) = -3*q**5 - 18*q**4 + 48*q**2 - 45*q + 12. Let m(u) = -7*u**5 - 37*u**4 + 97*u**2 - 89*u + 23. Let n(z) = -13*i(z) + 6*m(z). Factor n(f).
-3*(f - 3)*(f - 1)**3*(f + 2)
Suppose -5*a - 36 = -11. Let d(v) = -v**2 + 4*v - 5. Let c(q) = -2*q + 2. Let t(p) = a*c(p) - 2*d(p). Find b such that t(b) = 0.
-1, 0
What is b in 2*b - 2*b - 3*b**2 + 3*b + 5*b**3 - 5*b = 0?
-2/5, 0, 1
Let w = -6 + 9. Factor -3*h**2 + 3*h + 0*h + 3*h**2 - w*h**3.
-3*h*(h - 1)*(h + 1)
Let d(k) be the first derivative of -2*k**4/3 - 2*k**3/9 + 6. Factor d(g).
-2*g**2*(4*g + 1)/3
Let j(f) be the first derivative of -f**8/840 - f**7/210 - f**6/180 - 2*f**3 + 7. Let p(x) be the third derivative of j(x). Let p(y) = 0. What is y?
-1, 0
Let l = 1621/12 + -135. Let k(d) be the second derivative of d + l*d**4 + 0*d**3 - 1/30*d**6 + 0 + 0*d**5 + 0*d**2. Determine x so that k(x) = 0.
-1, 0, 1
Let j(r) be the first derivative of r**4/10 - 8*r**3/5 + 36*r**2/5 + 10. Suppose j(d) = 0. Calculate d.
0, 6
Let z(b) be the first derivative of 3*b**5/80 + b**4/24 - b**3/24 + 8*b - 6. Let j(p) be the first derivative of z(p). Determine r, given that j(r) = 0.
-1, 0, 1/3
Let t(m) be the second derivative of -m**5/130 - m**4/26 - 5*m. Let t(b) = 0. Calculate b.
-3, 0
Factor 0 + g + 1/2*g**3 - 3/2*g**2.
g*(g - 2)*(g - 1)/2
Let v(o) be the first derivative of -o**5/20 - o**4/4 + 2*o**2 + 4. Let m(q) be the second derivative of v(q). Factor m(f).
-3*f*(f + 2)
Suppose z = -1, -z - 3*z = 3*v + 4. Suppose -15*n = -16 - 14. Let -2/7*a**3 - 4/7*a**4 + 0 + v*a + 2/7*a**n = 0. Calculate a.
-1, 0, 1/2
Factor 0*a + 0 + 1/4*a**3 + 0*a**4 - 1/4*a**5 + 0*a**2.
-a**3*(a - 1)*(a + 1)/4
Factor 15*q - 7*q**2 + 3*q**2 - q**2 + 2 - 12.
-5*(q - 2)*(q - 1)
Let l(x) be the third derivative of x**7/1995 - x**6/1140 - x**5/285 + x**2. Factor l(p).
2*p**2*(p - 2)*(p + 1)/19
Let v be 434/200 - (-1 + 3). Let x = v - -2/25. Let x*n**2 + 1/4*n + 0 = 0. What is n?
-1, 0
Let k = 1441/12 + -120. Let x(g) be the third derivative of -1/96*g**4 + 0 - 1/240*g**5 + 0*g + k*g**3 + 4*g**2. Solve x(y) = 0 for y.
-2, 1
Let a be 0/2 + (5 - (-36)/(-8)). Suppose -a*v**2 + 0 + 1/2*v**4 + 0*v + 0*v**3 = 0. What is v?
-1, 0, 1
Suppose z - 3 = 5. Suppose -z*s + 28 = -s. Solve -2/5 - 2*u**s + 4/5*u**3 + 12/5*u**2 + 2/5*u - 6/5*u**5 = 0 for u.
-1, 1/3, 1
Let b(x) be the first derivative of 4/15*x**3 - 2/5*x + 0*x**4 + 1 - 2/25*x**5 + 0*x**2. Suppose b(n) = 0. Calculate n.
-1, 1
Let w = -3 + 5. Suppose -20 = 5*h, 5*n + 0*h - 7 = -w*h. Solve -3 - 21*q + 2*q**3 - 13 - 4*q**n - 3*q - 12*q**2 = 0 for q.
-2
Let o(h) be the first derivative of -1/5*h**5 + 0*h + h**4 + h**2 - 5/3*h**3 + 2. Factor o(r).
-r*(r - 2)*(r - 1)**2
Let j be (-4)/3*((-552)/(-64) + -9). Determine a, given that j*a**2 + 0 - 1/2*a = 0.
0, 1
Suppose -3*f = 3 + 9. Let u = -4 - f. Factor u*v**4 + v**4 - v**3 + 2*v**3.
v**3*(v + 1)
Let d(w) be the first derivative of 0*w**2 - 4 - 3/16*w**4 + 1/12*w**3 + 0*w. Factor d(m).
-m**2*(3*m - 1)/4
Let i(d) = 20*d - 397. Let f be i(20). Find k such that 1/4*k**f + 3/8*k**2 + 0 - 1/4*k = 0.
-2, 0, 1/2
Let w(o) be the second derivative of o**4/4 - o**3/2 + 11*o - 2. Factor w(z).
3*z*(z - 1)
Let d = 359/112 + -33/16. Factor -2/7*j**2 - 8/7 + d*j.
-2*(j - 2)**2/7
Factor -107*y - 2 - 103*y - y**2 + 213*y.
-(y - 2)*(y - 1)
Let g(u) = 11*u**2 - 142*u - 11. Let j be g(13). What is w in 0 - 8/3*w**j + 8/3*w + 8/3*w**4 - 2/3*w**5 - 2*w**3 = 0?
-1, 0, 1, 2
Let z(i) be the second derivative of -1/20*i**5 - 3*i + 5/48*i**4 + 0*i**2 + 1/120*i**6 - 1/12*i**3 + 0. Let z(o) = 0. Calculate o.
0, 1, 2
Let a(h) be the first derivative of h**5 - 5*h**4 + 10*h**3/3 + 10*h**2 - 15*h - 15. Factor a(z).
5*(z - 3)*(z - 1)**2*(z + 1)
Let i(x) be the third derivative of -x**8/1344 + x**6/120 - x**5/120 - x**4/32 + x**3/12 - 56*x**2. Solve i(l) = 0.
-2, -1, 1
Let r(h) be the second derivative of h**5/60 + 2*h**4/9 + 7*h**3/6 + 3*h**2 - 6*h. Factor r(g).
(g + 2)*(g + 3)**2/3
Let q = 7 + -5. Suppose 2*g**3 + g**2 + q - g**3 - 2 = 0. Calculate g.
-1, 0
Let m(t) be the second derivative of t**7/13860 - t**6/1980 + t**4/4 - 4*t. Let i(l) be the third derivative of m(l). Let i(x) = 0. Calculate x.
0, 2
Let q(k) = 2*k - 4. Let w be q(5). Factor w*i**2 + 0*i**2 - 2*i**2 + 8*i.
4*i*(i + 2)
Let u = -34 - -36. Let n(v) be the first derivative of -1 - 1/2*v**u + 0*v - 1/3*v**3. Solve n(d) = 0 for d.
-1, 0
Let w(s) be the first derivative of 10 + 4/3*s**2 - 2/3*s**4 + 2/3*s**3 - 8/3*s + 2/15*s**5. Let w(h) = 0. Calculate h.
-1, 1, 2
Suppose -3*n**3 + 3 - 25*n**2 - 28*n**2 + 50*n**2 + 3*n = 0. What is n?
-1, 1
Let g be (-5)/(-50)*-7 - -1. Let u(o) be the first derivative of g*o**5 + 9/8*o**4 - 2 + 1/2*o**3 - 9/4*o**2 - 3*o. Factor u(m).
3*(m - 1)*(m + 1)**2*(m + 2)/2
Let h be ((1 - 0) + -4)*1. Let q be -1 + (h/(-3) - -2). Let -18 - 2*m + m - 11*m - 2*m**q = 0. Calculate m.
-3
Suppose 13 = -3*c - q, -4*q = 2*c - c - 14. Let i be c*(1 - 4/3). Factor -16/5*z - 2*z**i - 2/5*z**3 - 8/5.
-2*(z + 1)*(z + 2)**2/5
Let u(g) be the third derivative of -1/30*g**5 - 5*g**2 - 1/315*g**7 + 0 - 1/60*g**6 + 0*g + 0*g**3 - 1/36*g**4. Factor u(s).
-2*s*(s + 1)**3/3
Let k(n) = n**2 - 11*n + 22. Let f be k(9). Let z(v) be the second derivative of 0*v**2 + 3*v + 0 - 1/30*v**f + 1/15*v**3. Factor z(h).
-2*h*(h - 1)/5
Let s(f) = -f + 11. Let r be s(6). Let w = r + -5. Find m, given that m**4 - 2*m**3 + 4*m**2 - 2*m**2 + w*m**3 + 5*m**3 = 0.
-2, -1, 0
Let d(m) be the first derivative of m**6/3 + 2*m**5 + 3*m**4/2 - 10*m**3/3 - 4*m**2 + 52. Find r such that d(r) = 0.
-4, -1, 0, 1
Let y(x) be the first derivative of x**8/5880 - x**6/1260 - 2*x**3 + 4. Let g(j) be the third derivative of y(j). Factor g(i).
2*i**2*(i - 1)*(i + 1)/7
Solve 19*t**2 + 26*t + 6*t**2 - 4*t**4 - 66*t + 3*t**2 + 16*t**3 = 0 for t.
-2, 0, 1, 5
Let h be (20/(-6))/(4/(-6)). Let o(k) be the third derivative of 0*k - 1/60*k**4 + 0 + 0*k**3 - 1/150*k**h + 2*k**2. Factor o(c).
-2*c*(c + 1)/5
Suppose -s = 4*s - 10. Let h(t) be the first derivative of 4/3*t**3 - 1/6*t**6 + 3 - 1/2*t**s + 4/5*t**5 + 0*t - 3/2*t**4. Factor h(l).
-l*(l - 1)**4
Let y(h) = h**3 + h**2 - h - 11. Let u be y(0). Let f = -9 - u. Determine v so that 2/3*v**4 + 0*v + 0*v**3 - 4/3*v**f + 2/3 = 0.
-1, 1
Let o = 57/356 - -8/89. Factor -1/2*g**2 + 1/4*g + 0 + o*g**3.
g*(g - 1)**2/4
Factor -9/2 - 121/2*f**2 + 33*f.
-(11*f - 3)**2/2
Let s(f) be the second derivative of -f**6/10 + f**4/4 - 3*f. Let s(y) = 0. What is y?
-1, 0, 1
Factor 3*p + 0*p**2 + 3/2 - 3/2*p**4 - 3*p**3.
-3*(p - 1)*(p + 1)**3/2
Let a(r) be the first derivative of 0*r + 4 - 8/3*r**3 + r**4 + 2*r**2. Factor a(d).
4*d*(d - 1)**2
Let s(f) be the third derivative of -f**5/240 - f**4/24 - f**3/8 + 25*f**2. Factor s(c).
-(c + 1)*(c + 3)/4
Let s(q) be the first derivative of q**4/30 + q**3/5 + 2*q**2/5 + 2*q - 2. Let w(b) be the first derivative of s(b). Factor w(l).
2*(l + 1)*(l + 2)/5
Solve 5*i**3 - 5*i**3 - 5*i**4 - 15*i**3 - 10*i**2 = 0 for i.
-2, -1, 0
Suppose -6*d + 3*f + 7 = -2*d, -4*f = 3*d + 1. Let a = d - -1. Let -14*z**4 - z**a + z**2 + 15*z**4 = 0. What is z?
0
Let w be (2 + 2 + -3)*0. Suppose w*i + 2*i - 10 = 0. Let -2*m**3 + i*m**3 - m**3 = 0. What is m?
0
Let b(g) be the third derivative of g**7/105 - g**5/10 + g**4/6 - 7*g**2. Factor b(u).
2*u*(u - 1)**2*(u + 2)
Let w(z) be the first derivative of 0*z - 1/2*z**4 + 2/5*z**5 - 4/3*z**