 be the third derivative of -1/120*r**6 - 1/30*r**o + 2*r**2 + 0*r**3 + 0*r + 0 - 1/24*r**4. Determine g so that l(g) = 0.
-1, 0
Solve -4 - 16/3*w - 7/3*w**2 - 1/3*w**3 = 0 for w.
-3, -2
Suppose 11 = -0*l - l - 5*w, 2*l - w = 11. Let c(x) be the second derivative of 0 + 0*x**3 + 2*x - 1/60*x**l + 0*x**2. Factor c(h).
-h**2/5
Let k(n) be the third derivative of -n**6/160 + n**5/60 + n**4/96 - n**3/12 + 5*n**2. Factor k(v).
-(v - 1)**2*(3*v + 2)/4
Let y(c) be the second derivative of c**5/5 + c**4 + 2*c**3 + 2*c**2 - 10*c. Solve y(n) = 0 for n.
-1
Suppose 0 - 1/4*j**3 + 1/4*j - 1/4*j**2 + 1/4*j**4 = 0. What is j?
-1, 0, 1
Let v(l) = l**3 - 3*l**2 + l + 2. Let r be v(3). Suppose -16 = -4*p, -20 = h - 0*h - r*p. Factor 0*u**3 - 4/9*u**4 - 2/9*u + 4/9*u**2 + 2/9*u**5 + h.
2*u*(u - 1)**3*(u + 1)/9
Suppose -f + 0 = -2. Factor -6 + 2*x**2 + f - 2 - 4*x.
2*(x - 3)*(x + 1)
Let o(k) be the first derivative of -1 + 4/3*k - 5/3*k**2 + 8/9*k**3 - 1/6*k**4. Let o(w) = 0. What is w?
1, 2
Find i such that -i - 27*i - 8*i**2 + 5 - 7 + 4*i**5 - 10 + 24*i**3 + 20*i**4 = 0.
-3, -1, 1
Let z(x) = 103*x**4 + 56*x**3 + 13*x**2 - 5. Let n(b) = 52*b**4 + 28*b**3 + 7*b**2 - 3. Let t(v) = -5*n(v) + 3*z(v). Factor t(q).
q**2*(7*q + 2)**2
Determine n, given that 33/5*n**4 + 0*n**2 + 0 + 9/5*n**3 + 0*n - 12/5*n**5 = 0.
-1/4, 0, 3
Let i(v) = -9*v**3 + 2*v**2 + 4*v - 7. Let j(q) = q**2 + 12*q - 2*q**2 - 14*q + 4 + 5*q**3. Let s(k) = -4*i(k) - 7*j(k). Factor s(f).
f*(f - 2)*(f + 1)
Let r(q) be the third derivative of -5*q**8/48 - 5*q**7/42 + 3*q**6/8 + 5*q**5/12 - 5*q**4/12 - 19*q**2. Solve r(v) = 0 for v.
-1, 0, 2/7, 1
Factor 5*c + 9 - 16 + c**3 + 9 + 4*c**2 + 0*c**3.
(c + 1)**2*(c + 2)
Let p(s) = -3*s**3 - 49*s**2 - 187*s + 245. Let w(c) = -39*c**3 - 636*c**2 - 2430*c + 3186. Let i(b) = -27*p(b) + 2*w(b). Find n such that i(n) = 0.
-9, 1
Let u be (-19)/(-133) + 33/63 + 0. Let v = 0 + 0. Factor u*t**3 + 0*t**4 - 2/3*t**5 + 0*t + v + 0*t**2.
-2*t**3*(t - 1)*(t + 1)/3
Suppose 4*b + 8 = -0*b. Let x(o) = 2*o**2 + 2*o - 2. Let p(k) = -4*k**2 - 5*k + 4. Let m(g) = b*p(g) - 5*x(g). Factor m(n).
-2*(n - 1)*(n + 1)
Let t(m) = -5*m - 22. Let j be t(-5). Let s(r) be the second derivative of j*r - 1/3*r**3 + 1/12*r**4 + 0 + 0*r**2. Factor s(x).
x*(x - 2)
Let h(v) be the first derivative of 2*v**5/5 - 7*v**4 + 22*v**3 + 112*v**2 + 128*v + 9. Solve h(r) = 0 for r.
-1, 8
Let z(c) = -3*c**2 - 4*c - 2. Let o(s) = s**2. Let v(r) = -22*r**2 - 32*r - 15. Let u(p) = -3*o(p) + v(p). Let f(k) = -6*u(k) + 51*z(k). Solve f(h) = 0 for h.
-2
Let s(h) be the third derivative of 1/180*h**6 + 0*h + 0 + 1/45*h**5 + h**2 + 0*h**3 + 1/36*h**4. Find a such that s(a) = 0.
-1, 0
Suppose d = 3*d. Find l such that 3 + 3 + d - 3 + 3*l**2 - 6*l = 0.
1
Let m = 11 + -23. Let x = -10 - m. Find q such that -2/3 - 2*q**2 + x*q + 2/3*q**3 = 0.
1
Let o(t) be the second derivative of t**4/4 - 2*t**3/3 - 2*t**2 + 5*t. Factor o(v).
(v - 2)*(3*v + 2)
Suppose 0 = 4*k + 4*j - 20, 3*j + 1 = 4*j. Factor -2*w**2 - k*w + 3*w**2 + 6*w.
w*(w + 2)
Let i(u) be the third derivative of 16/35*u**7 - 23/30*u**6 + 0*u - 8/5*u**5 + 0*u**3 - 3/4*u**4 - 3/56*u**8 + 0 - 5*u**2. Let i(w) = 0. What is w?
-1/3, 0, 3
Suppose -z + 4*h = 18, -12 = h + 2*h. Let t = z + 73/2. Find w, given that -5/2*w**2 + t*w**4 + w + 0 - w**3 = 0.
-1, 0, 2/5, 1
Let u be 72/(-42) - 2 - (-4 + 0). Factor 4/7*w - u*w**2 - 2/7.
-2*(w - 1)**2/7
Let h(x) be the first derivative of x**4/8 - 11*x**3/12 + 13*x**2/8 - x - 30. Factor h(t).
(t - 4)*(t - 1)*(2*t - 1)/4
Factor -3/5*a**2 + 0 - 6/5*a**3 + 0*a - 3/5*a**4.
-3*a**2*(a + 1)**2/5
Let y(z) be the first derivative of z**2/2 + 12*z - 1. Let w be y(-9). Find u such that u**4 - u**3 + u**w = 0.
0
Factor 24*d**2 - 13*d**2 - 14*d**2.
-3*d**2
Let b = -12 - -6. Let k = b + 14. Solve u**4 + k*u**4 + 2*u**3 + 7*u**5 + 5 - 5 = 0 for u.
-1, -2/7, 0
Suppose -7 = -4*n + 1. Suppose 29 = 5*p + 9. Find h such that 2/3*h + 0 - 2/3*h**p - 2*h**2 + n*h**3 = 0.
0, 1
Let j(m) be the third derivative of m**7/840 - m**6/96 + m**5/30 - m**4/24 + 23*m**2. Factor j(d).
d*(d - 2)**2*(d - 1)/4
Let r be -10*(-2 + (-24)/(-20)). Solve -i**3 + 5*i**4 + 12*i**5 + 2*i**3 - r*i**5 = 0 for i.
-1, -1/4, 0
Let i(v) be the first derivative of 27/5*v**3 + 2 + 6/5*v + 69/20*v**4 + 21/25*v**5 + 39/10*v**2. Factor i(m).
3*(m + 1)**3*(7*m + 2)/5
Let w(h) = h - 1. Let g be w(3). Factor 2*f**3 - g*f**2 + 24*f - 2*f**5 - 24*f + 2*f**4.
-2*f**2*(f - 1)**2*(f + 1)
Suppose 5*x + 6 = 16. Solve -21 - 4*h**3 - x*h**4 + 21 = 0 for h.
-2, 0
Let o be 3 - (-1 - -1 - 3). Solve 16*i**2 - 8 - 9*i + 12 - o*i**3 - 5*i = 0 for i.
2/3, 1
Determine w so that -26/9*w**3 + 46/9*w**4 - 14/9*w**5 - 8/9 + 40/9*w - 38/9*w**2 = 0.
-1, 2/7, 1, 2
Let v be ((-12)/15)/((-2)/15). Let s(a) = a**3 - 7*a**2 + 6*a + 2. Let c be s(v). Factor 1/3 + 1/3*q**3 + q**c + q.
(q + 1)**3/3
Suppose -15 = -3*p - 2*p. Let w be -2 + 33/(-8)*(-6)/9. Find h such that 7/4*h**2 - w*h**p + 5/4*h**5 - 7/4*h**4 + 0 - 1/2*h = 0.
-1, 0, 2/5, 1
Let h(d) be the first derivative of -5/8*d**4 + 0*d**2 + 1/3*d**3 + 0*d - 6 - 1/12*d**6 + 2/5*d**5. Suppose h(t) = 0. Calculate t.
0, 1, 2
Let z(g) = -g**3 + 6*g**2 + 5*g + 16. Let l be z(7). Factor 2*f**4 - 8*f - 2 - 22*f**3 + 18*f**2 + 14*f**3 - 6*f**l + 4.
2*(f - 1)**4
Let q(x) be the second derivative of -3*x**6/5 - 21*x**5/10 - 61*x**4/24 - 7*x**3/6 - x**2/4 - 13*x. Factor q(w).
-(w + 1)**2*(6*w + 1)**2/2
What is m in 0*m**2 + 3*m**2 - 12*m + 5 + 8 - 4 = 0?
1, 3
Let c be 3/1 - 1 - 2. Let u(g) be the first derivative of 0*g**2 + 1/4*g**4 - 3 + 1/3*g**3 + c*g. Find k, given that u(k) = 0.
-1, 0
Let v = 86 + -84. Let z(a) be the third derivative of -a**v + 0 + 0*a + 1/60*a**6 - 1/12*a**4 + 1/3*a**3 - 1/30*a**5. Factor z(y).
2*(y - 1)**2*(y + 1)
Let m(s) be the third derivative of s**9/12096 - s**7/3360 - s**3/6 - 3*s**2. Let i(a) be the first derivative of m(a). Find k, given that i(k) = 0.
-1, 0, 1
Suppose 2*u + 2*u + 2*u**3 - 6*u = 0. Calculate u.
-1, 0, 1
Let r(l) be the first derivative of 12*l**5/5 + 8*l**4 + 4*l**3/3 - 16*l**2 - 16*l + 5. Let r(g) = 0. What is g?
-2, -1, -2/3, 1
Let o(y) = -6*y**2 + 7*y - 5 - 2 - 13*y. Let u(w) = -w**2 - w - 1. Let z(r) = 2*o(r) - 14*u(r). Let z(t) = 0. Calculate t.
-1, 0
Let s(d) be the first derivative of -4*d**6/15 + d**5/10 + 2*d**4/3 - d**3/3 - 3*d - 5. Let a(o) be the first derivative of s(o). Factor a(z).
-2*z*(z - 1)*(z + 1)*(4*z - 1)
Let x(k) be the first derivative of k**4/18 - 4*k**3/3 + 12*k**2 - 48*k - 14. Let x(a) = 0. What is a?
6
Let u be ((-99)/77)/(6/(-4)). Find l such that 4/7*l**5 + 2/7*l**2 + 2/7*l - u*l**3 + 0 - 2/7*l**4 = 0.
-1, -1/2, 0, 1
Let f(z) be the first derivative of z**4/12 + 5. Factor f(d).
d**3/3
Let m be 11 + -3 + -1 + -1. Suppose 0*v = 2*v - m. Solve -v*n**3 + 13*n**2 + 13*n**2 - 10*n**2 + 81 - 81*n + 11*n**2 = 0.
3
Let c(l) be the third derivative of 1/21*l**4 + 1/35*l**5 + 0 + 1/21*l**3 + 1/735*l**7 + 1/105*l**6 + 0*l + 4*l**2. Determine d so that c(d) = 0.
-1
Let d(g) be the second derivative of -1/8*g**3 - 1/4*g**2 + 0 - 1/48*g**4 - 8*g. Factor d(h).
-(h + 1)*(h + 2)/4
Let p(c) = c + 7. Let x be p(-8). Let y = 7 + x. Let 2*u**2 + 0*u**2 - 4 + y*u - 4*u**2 = 0. Calculate u.
1, 2
Let c be 0 - (-4 + 2 - -2). Suppose -4*x + 9 = q, 4*q = -4*x - c*x. Factor 0 + 0*m + 0*m**2 + 2/7*m**x + 2/7*m**4.
2*m**3*(m + 1)/7
Let d = -382/35 + 56/5. Let w(t) be the first derivative of d*t**4 - 4/7*t**3 + 4/7*t**2 - 3 - 2/35*t**5 - 2/7*t. Factor w(o).
-2*(o - 1)**4/7
Let w = -7 + 10. What is b in -2*b - 4 + 4 - 10*b**3 + 12*b**w = 0?
-1, 0, 1
Let q(b) be the third derivative of -3*b**8/728 - 2*b**7/91 - 37*b**6/780 - 2*b**5/39 - b**4/39 + 22*b**2. Determine l, given that q(l) = 0.
-1, -2/3, 0
Let y(p) be the third derivative of 98*p**7/135 - 539*p**6/180 + 35*p**5/9 - 67*p**4/27 + 8*p**3/9 - 7*p**2. Suppose y(a) = 0. What is a?
2/7, 3/2
Factor -7*k + k**2 - k + 0*k**2 + 4*k**3 - 5*k**2.
4*k*(k - 2)*(k + 1)
Let k(i) be the second derivative of -i**7/5040 + i**5/240 + i**4/6 + 2*i. Let b(z) be the third derivative of k(z). Find d such that b(d) = 0.
-1, 1
Let f(p) be the first derivative of 2*p**7/105 - 2*p**6/75 - 5*p - 11. Let i(k) be the first derivative of f(k). Factor i(g).
4*g**4*(g - 1)/5
Factor 1/8*f - 1/8 + 1/8*f**