 the first derivative of z(d). Determine g so that h(g) = 0.
-2, 0
Solve 8 + 16*h**2 - h**3 - 3*h**3 - 26*h + 6*h = 0.
1, 2
Let t(y) be the third derivative of -y**6/120 + y**5/20 - 5*y**3/6 + y**2. Let s(w) be the first derivative of t(w). Determine p, given that s(p) = 0.
0, 2
Let a(f) be the second derivative of -f**6/15 - f**5/10 + f**4/2 + f**3/3 - 2*f**2 + 3*f. Factor a(c).
-2*(c - 1)**2*(c + 1)*(c + 2)
Let z = 2 - 2. Find x, given that -x**2 - x**3 + 2*x**3 + z*x**2 = 0.
0, 1
Let -16/5 - 12*l + 16/5*l**2 = 0. Calculate l.
-1/4, 4
Let 0 + 4/15*q + 14/15*q**2 + 2/3*q**4 + 6/5*q**3 + 2/15*q**5 = 0. Calculate q.
-2, -1, 0
Let d(s) be the third derivative of s**6/1080 - s**5/90 + s**4/24 + 11*s**2. Factor d(a).
a*(a - 3)**2/9
Factor 23*n**3 - 64*n**4 + 12*n**3 + 6*n**2 - 3*n**3 - 10*n**2.
-4*n**2*(4*n - 1)**2
Let c(s) be the first derivative of 0*s + 1/24*s**4 - 1/240*s**5 + 2 + 0*s**2 - 1/3*s**3 - 1/720*s**6. Let m(x) be the third derivative of c(x). Factor m(o).
-(o - 1)*(o + 2)/2
Let o(c) be the second derivative of 2*c**7/21 + 2*c**6/5 + 3*c**5/5 + c**4/3 - 3*c. Find h such that o(h) = 0.
-1, 0
Let g(y) be the first derivative of -1/15*y**2 + 0*y + 1/30*y**4 + 0*y**3 + 1. Solve g(v) = 0 for v.
-1, 0, 1
Let k(c) be the second derivative of 1/5*c**2 - 1/100*c**5 + 0 - 1/6*c**3 - c + 1/15*c**4. Factor k(x).
-(x - 2)*(x - 1)**2/5
Suppose -2*o = -13 + 7. Let k = 6 + -3. Determine t so that -t**o + 2*t + 2*t - k*t = 0.
-1, 0, 1
Let h(j) be the second derivative of j**5/100 + j**4/15 + j**3/6 + j**2/5 + 7*j. What is a in h(a) = 0?
-2, -1
Suppose -1 + 5*c - 3*c**4 + 6*c**2 - 5*c - 2 = 0. What is c?
-1, 1
Let w(k) be the third derivative of k**8/448 - k**7/140 + k**5/40 - k**4/32 - 2*k**2. Factor w(l).
3*l*(l - 1)**3*(l + 1)/4
Determine x so that -4/3*x + 2/3*x**3 + 2/3*x**2 + 0 = 0.
-2, 0, 1
Let h = -5 - -3. Let j be (h/3)/(8/(-3)). Find v such that 1/2*v**5 + 0 + 1/4*v**2 - j*v**4 - 1/2*v**3 + 0*v = 0.
-1, 0, 1/2, 1
Let s(t) be the second derivative of t**4/18 - 2*t**3/9 + 8*t. Factor s(i).
2*i*(i - 2)/3
Let u(d) be the first derivative of -d**4/4 + 31*d**3/3 - 17*d**2/2 + 15*d - 1. Let v(z) = -16*z**2 + 8*z - 8. Let m(h) = -4*u(h) - 7*v(h). Factor m(p).
4*(p - 1)**3
Let b(y) be the second derivative of y**6/6 - y**5/4 - 5*y**4/12 + 5*y**3/6 - 13*y. Factor b(d).
5*d*(d - 1)**2*(d + 1)
Let n be (6 - (-80)/(-14))/((-9)/(-35)). Factor -n*u**2 + 2/9*u**3 + 2 + 2/3*u.
2*(u - 3)**2*(u + 1)/9
Let r be 178/120*-2 - -3. Let t(n) be the third derivative of r*n**5 + 0*n**3 + 0 - 1/12*n**4 - 2*n**2 + 0*n. Find v such that t(v) = 0.
0, 1
Let o(u) be the second derivative of 1/40*u**5 + 2*u + 1/360*u**6 + 1/12*u**4 + 0 + 0*u**2 + 1/6*u**3. Let p(k) be the second derivative of o(k). Factor p(w).
(w + 1)*(w + 2)
Suppose -a - 3*a = -12. Factor 6*w**2 + 5*w**3 - 15*w**a + 8*w**3.
-2*w**2*(w - 3)
Let x(z) be the first derivative of z**3/33 + 2*z**2/11 + 3*z/11 + 11. Solve x(o) = 0 for o.
-3, -1
Let h = -604/9 + 1271/18. Factor -h*q - 3/2*q**2 - 1.
-(q + 2)*(3*q + 1)/2
Let v(j) be the first derivative of -4*j**5/35 - 8*j**4/7 - 88*j**3/21 - 48*j**2/7 - 36*j/7 + 57. Suppose v(y) = 0. What is y?
-3, -1
Let i(j) = -1. Let n(g) = 8*g**2 - 18*g + 9. Let z(m) = 5*i(m) + n(m). Factor z(r).
2*(r - 2)*(4*r - 1)
Let v(x) = -x**3 - 9*x**2 + 10*x - 2. Let t be v(-10). Let l be (-1 - 1 - -2)/t. Factor l + 2/7*b**2 + 2/7*b.
2*b*(b + 1)/7
Let f(v) be the first derivative of -v**4 - 4*v**3/3 + 4*v**2 + 38. Let f(c) = 0. Calculate c.
-2, 0, 1
Let b(u) = 2*u. Let h be b(2). Suppose -j + 0 = 2*x + h, 2*j = -3*x - 5. Factor -z**5 - 2*z**4 + 2*z**j - 3*z + 0*z**2 + 4*z.
-z*(z - 1)*(z + 1)**3
Let g(h) be the first derivative of -h**6/30 - h**5/10 - h**4/12 - 2*h - 1. Let l(b) be the first derivative of g(b). Factor l(p).
-p**2*(p + 1)**2
Let p(s) be the first derivative of 0*s - s**2 + 1/600*s**6 + 0*s**3 + 1/300*s**5 - 2 - 1/60*s**4. Let d(t) be the second derivative of p(t). Factor d(c).
c*(c - 1)*(c + 2)/5
Let t be 2/13 + 90/260. Factor -1/2*u**2 - t*u**3 + 0 + 1/2*u**5 + 0*u + 1/2*u**4.
u**2*(u - 1)*(u + 1)**2/2
Let j(i) be the third derivative of -i**8/840 + 8*i**7/525 + 19*i**6/300 + i**5/15 + 41*i**2. Factor j(k).
-2*k**2*(k - 10)*(k + 1)**2/5
Factor 0*j**2 - 3/4*j**3 + 0*j + 0.
-3*j**3/4
Let r = -3/172249 + 6668527/1722490. Let x = -33/10 + r. Factor 2/7*t**4 + 0*t + 0 - x*t**3 + 2/7*t**2.
2*t**2*(t - 1)**2/7
Let b(s) = -13*s**4 + 12*s**3 - s**2 - 5*s + 7. Let h(y) = -4*y**4 + 4*y**3 - 2*y + 2. Let w(u) = 4*b(u) - 14*h(u). Determine q, given that w(q) = 0.
-1, 0, 1, 2
Suppose -j + 71 = -5*m - 293, 5*m = -5*j - 340. Let l be m/(-80) - 1/2. Let a**2 + 0 - l*a = 0. Calculate a.
0, 2/5
Factor -1/5*d**3 + 1/5*d**2 + 0 + 1/5*d - 1/5*d**4.
-d*(d - 1)*(d + 1)**2/5
Let y(g) be the second derivative of -2*g**6/15 - 3*g**5/5 - g**4 - 2*g**3/3 + 2*g. Let y(f) = 0. What is f?
-1, 0
Let w(j) be the first derivative of 4*j**3/3 + 3*j**2 + 3. Let o = 15 + -22. Let b(t) = 3*t**2 + 4*t. Let z(u) = o*b(u) + 5*w(u). Factor z(v).
-v*(v - 2)
Factor -3*t**2 + 3*t**3 + 9*t**2 + 3*t**2.
3*t**2*(t + 3)
Solve 2/5*t**3 + 0 + 4/5*t + 6/5*t**2 = 0 for t.
-2, -1, 0
Find l such that 16*l + 24*l**2 + 22*l**4 - 18*l**4 + 24*l**3 + 4 - 8*l**3 = 0.
-1
Suppose -3/5*i**2 + 7/5*i - 2/5 = 0. What is i?
1/3, 2
Let o(f) be the second derivative of -f**6/6 - 3*f**5/4 + 5*f**4/12 + 5*f**3/2 - 44*f. Factor o(j).
-5*j*(j - 1)*(j + 1)*(j + 3)
Let i(z) be the second derivative of -z**7/21 + 7*z**6/15 - 19*z**5/10 + 25*z**4/6 - 16*z**3/3 + 4*z**2 + 13*z. Factor i(f).
-2*(f - 2)**2*(f - 1)**3
Let w be (0 - 4)*10/(-20). Let l(x) be the first derivative of 1/3*x**3 + 1/4*x**4 - 1/2*x**w - 2 - x. Factor l(o).
(o - 1)*(o + 1)**2
Let l = -78 - -80. Factor 1/4*z**l + 1/4*z**3 + 0 + 0*z.
z**2*(z + 1)/4
Let c(m) be the first derivative of -7*m**5/80 - 23*m**4/48 - 5*m**3/6 - m**2/2 - 2*m - 1. Let b(a) be the first derivative of c(a). Factor b(r).
-(r + 1)*(r + 2)*(7*r + 2)/4
Let n = -5282/11 - -478. Let f = -37/22 - n. Find h such that 4*h - f - 8*h**2 = 0.
1/4
Let f(c) be the second derivative of 4*c**2 + 1/6*c**4 + 0 - 4/3*c**3 + 4*c. Factor f(p).
2*(p - 2)**2
Let d(s) be the third derivative of -s**7/315 + s**6/180 + s**5/30 - 5*s**4/36 + 2*s**3/9 - 6*s**2. Factor d(h).
-2*(h - 1)**3*(h + 2)/3
Let d(j) be the first derivative of -j**5/10 - j**4/4 - j**3/6 + 10. Factor d(i).
-i**2*(i + 1)**2/2
Let p(t) = t**2 - 7*t + 3. Let z(o) = -2*o**2 + 13*o - 6. Let j(x) = 5*p(x) + 3*z(x). Factor j(u).
-(u - 3)*(u - 1)
Suppose 3*c = -4*n + c + 6, 0 = 3*n + 4*c + 3. Factor 2/5*t + 8/5*t**4 + 4/5*t**2 - 14/5*t**n + 0.
2*t*(t - 1)**2*(4*t + 1)/5
Let j = -42 - -47. Let p(b) be the third derivative of 0*b + 3*b**2 + 1/20*b**j + 1/4*b**4 + 0*b**3 + 0. Factor p(d).
3*d*(d + 2)
Let o(d) = -7*d**2 - 9*d + 1. Let r(t) = 6*t**2 + 10*t. Let s be (-1)/4 + 51/12. Let h(n) = s*o(n) + 3*r(n). Suppose h(x) = 0. What is x?
-1, 2/5
Let o(z) be the third derivative of -z**8/840 - 2*z**7/525 + z**5/75 + z**4/60 - z**2. Factor o(b).
-2*b*(b - 1)*(b + 1)**3/5
Let g(v) be the third derivative of 0 - 5*v**2 + 1/1512*v**8 + 1/135*v**5 + 0*v**6 - 2/945*v**7 + 0*v**3 + 0*v - 1/108*v**4. Suppose g(u) = 0. Calculate u.
-1, 0, 1
Let l(w) be the first derivative of 3/2*w**2 + 5 + 1/2*w**6 - 3/5*w**5 - 3*w + 2*w**3 - 3/2*w**4. Suppose l(v) = 0. Calculate v.
-1, 1
Let p(y) = -y. Let d be p(-1). Let v be ((-14)/(-2) + d)/2. Let 6*m**3 + 10*m**5 + m**3 - 3*m**3 + 14*m**v = 0. Calculate m.
-1, -2/5, 0
Find v, given that -3/4 - 1/4*v + 3/4*v**2 + 1/4*v**3 = 0.
-3, -1, 1
Let j = -11 - -9. Let g be 184/40 + j*2. Factor g*r + 3/5*r**4 + 9/5*r**2 + 9/5*r**3 + 0.
3*r*(r + 1)**3/5
Suppose 29 + 77 = x. Let -24*v**3 - 17*v**3 - 12*v - x*v**3 - 84*v**2 = 0. Calculate v.
-2/7, 0
Factor 5 + 8*m**2 + 32*m - 2 + 5 - 52*m.
4*(m - 2)*(2*m - 1)
Let y = 10 + -16. Let q be (-7 - y)*-1*2. Suppose -2*u**q - 2/3 + 2*u + 2/3*u**3 = 0. What is u?
1
Factor -2*d**2 - 303*d**3 + 2 + d**4 - 10 + 306*d**3 - 12*d.
(d - 2)*(d + 1)*(d + 2)**2
Let y(b) be the second derivative of 5*b**7/42 - b**6/3 - 23*b. Factor y(t).
5*t**4*(t - 2)
Let b be 5 + -2 + (-17)/7. Let m = 4 - 4. Factor b*x**3 + m*x**2 - 2/7*x**5 - 2/7*x + 0*x**4 + 0.
-2*x*(x - 1)**2*(x + 1)**2/7
Let f(c) be the second derivative of 0 + 7/2*c**4 