2)). Let k(h) = -7*h**3 + 4*h**2 + 9*h + 2. Let b(n) = 6*n**3 - 3*n**2 - 9*n - 3. Let c(y) = l*k(y) + 4*b(y). Solve c(q) = 0.
-1, 2
Let w(r) be the first derivative of r**5/35 - r**4/28 + 4. Factor w(k).
k**3*(k - 1)/7
Let c(s) be the third derivative of -1/72*s**4 + 1/180*s**5 + 0 + 0*s + 0*s**3 + 8*s**2. Solve c(z) = 0.
0, 1
Let d(s) be the first derivative of 0*s - 1/21*s**6 - 8/21*s**3 - 4 - 4/7*s**2 + 4/35*s**5 + 3/14*s**4. Factor d(v).
-2*v*(v - 2)**2*(v + 1)**2/7
Determine w so that -1/8 + 0*w + 1/8*w**2 = 0.
-1, 1
Factor -1/7*k**2 + 1/7*k + 2/7.
-(k - 2)*(k + 1)/7
Factor 3/4*x**3 + 9/4*x - 15/4*x**2 + 0 + 3/4*x**4.
3*x*(x - 1)**2*(x + 3)/4
Suppose 30*t = 33*t - 9. Let l(h) be the second derivative of 0*h**2 + 1/12*h**4 + 0 - 4*h + 1/2*h**t. Factor l(p).
p*(p + 3)
Solve 1 + 18*m - 2*m**2 - 2*m**3 + 8*m**2 + 7 + 2 = 0 for m.
-1, 5
Let d(j) be the third derivative of j**8/1176 + j**7/735 - j**6/210 - j**5/105 + j**4/84 + j**3/21 - 4*j**2. Factor d(c).
2*(c - 1)**2*(c + 1)**3/7
Let j = 37 + -35. Let f(b) be the second derivative of 0 + 1/20*b**5 + 4*b**2 + j*b**3 + 1/2*b**4 - 3*b. What is a in f(a) = 0?
-2
Suppose 5*r - 4 = -2*b, 2*b - 2*r + r - 4 = 0. Factor 4*d + 8*d - 2*d**2 + 8 + 6*d**b.
4*(d + 1)*(d + 2)
Factor -2/3*h - 4/3*h**2 + 2/3*h**3 + 4/3.
2*(h - 2)*(h - 1)*(h + 1)/3
Let y(w) be the first derivative of 2/3*w**3 - w**4 + 2 + 0*w + w**2. Determine o, given that y(o) = 0.
-1/2, 0, 1
Let y(i) = -i + 15. Let u be y(13). Factor -2*j**5 - 6*j**4 + 0*j**2 + 2*j**2 + u*j**3 + 4*j**4 + 0*j**5.
-2*j**2*(j - 1)*(j + 1)**2
Let b be 1 + 3/36*-4. Factor -2/9*d**3 + b*d**2 - 2/3*d + 2/9.
-2*(d - 1)**3/9
Let a(l) be the first derivative of -9*l**4 - 68*l**3 - 62*l**2 - 20*l + 13. Factor a(r).
-4*(r + 5)*(3*r + 1)**2
Let k be (2/6)/((-4)/(-36)). Suppose v = -3*o + 16, -v - k*v + 36 = 5*o. Factor 6*g - 5*g**3 - 15*g**v + 27*g**2 - 12*g**4 - g**3.
-3*g*(g - 1)*(g + 1)*(9*g + 2)
Let i = 0 + 3. Suppose -2 + 11 = i*c. Let 7/3*t**c - 2/3 + 11/3*t - 16/3*t**2 = 0. What is t?
2/7, 1
Let s(k) be the second derivative of k**4/48 - 5*k**3/24 + 3*k**2/4 + 17*k. Determine b, given that s(b) = 0.
2, 3
Let n(k) = -k**3 + 5*k**2 - 4*k + 2. Let z be n(4). Suppose i + z*i = m - 17, 27 = m - 5*i. Solve 2*o - 3*o**3 + 2*o**4 - 4*o + 5*o**3 - 2*o**m = 0 for o.
-1, 0, 1
Suppose 0 = -2*x + 4, r - 4*r + 21 = 3*x. Suppose 18*j**5 + 3*j**r + j - 4*j**4 - 27*j**3 + 5*j + 15*j**2 - 11*j**4 = 0. What is j?
-1, -2/7, 0, 1
Let o be 2 + 1 + (1 - 3). Let j(s) be the first derivative of 1/18*s**4 + 1/9*s**2 + 0*s - 4/27*s**3 + o. Factor j(f).
2*f*(f - 1)**2/9
Suppose 2*b + 2*h - 30 = -2*h, 3*b - 45 = -5*h. Factor -2 - b*g**2 - 12*g**3 - 3*g + 2.
-3*g*(g + 1)*(4*g + 1)
Let r(x) = -8*x**4 + 2*x**3 + 4*x**2 - 7*x + 9. Suppose -4*y - 38 + 98 = 0. Let d(w) = w**4 + w**2 - w - 1. Let z(h) = y*d(h) + 3*r(h). Solve z(c) = 0.
-2, 2/3, 1
Let u = 3879/28 - 968/7. Factor 5*r**2 - 9/2*r**3 - u*r**5 - 2*r + 0 + 7/4*r**4.
-r*(r - 2)**3*(r - 1)/4
Suppose 3*u = -u. Factor 8/3*c**3 - 2*c**2 - 2/3*c + u.
2*c*(c - 1)*(4*c + 1)/3
Let p(h) = 2*h - 11. Let d be p(8). Let w be -1 + d/(30/8). Suppose -5/3*l + 2/3 + 4/3*l**2 - w*l**3 = 0. Calculate l.
1, 2
Let l(c) be the third derivative of c**8/112 - c**7/35 + c**6/40 - 5*c**2. Suppose l(q) = 0. Calculate q.
0, 1
Suppose 0 = -2*u + 5*u, 11 = g - u. Factor g + 2*i**2 - 24*i - 3*i**3 + 1 + 13*i**2.
-3*(i - 2)**2*(i - 1)
Suppose -4*w + 5 = -y, 2*y - 2 = w + w. Let d be ((-3)/(-6))/(2/8). Factor -5*c**4 + c**2 - w*c**3 + 4*c**4 - d*c**2.
-c**2*(c + 1)**2
Let j be (18/12)/((-36)/(-16)). Let x(k) be the second derivative of 2/9*k**4 + 2*k + 0 + j*k**2 + 1/30*k**5 + 5/9*k**3. Solve x(v) = 0.
-2, -1
Factor -6/11*x**3 + 0 - 12/11*x + 38/11*x**2.
-2*x*(x - 6)*(3*x - 1)/11
Factor 3*l**3 - 2*l**4 - l**3 + 2*l**2 + 2*l**5 - 4*l**3.
2*l**2*(l - 1)**2*(l + 1)
Suppose -r + 5*p = -11, 3*r + 5*p = 43 - 10. Suppose 2*l = -5*x + 9 + r, 0 = -2*x + 5*l - 21. Determine g so that -g**x + 4*g + g - 4*g = 0.
0, 1
Let k(d) be the third derivative of -4/45*d**5 + 5*d**2 + 0 + 7/360*d**6 + 1/18*d**4 + 0*d**3 + 0*d. Factor k(w).
w*(w - 2)*(7*w - 2)/3
Determine z, given that -22*z + 0*z**2 + 8*z + 2*z**2 + 12 = 0.
1, 6
Let n(v) be the first derivative of -2/5*v**2 + 2/5*v**3 - 1 + 0*v + 0*v**4 - 2/25*v**5. Find c, given that n(c) = 0.
-2, 0, 1
Let q(g) be the second derivative of -2*g**7/525 - g**6/100 - g**5/150 + g**2 + g. Let l(d) be the first derivative of q(d). Factor l(w).
-2*w**2*(w + 1)*(2*w + 1)/5
Let g(t) be the third derivative of t**9/2800 + 3*t**8/11200 - t**7/525 - t**6/300 - t**4/12 - 4*t**2. Let o(h) be the second derivative of g(h). Factor o(n).
3*n*(n - 1)*(3*n + 2)**2/5
Let d be 3 + -2 - (2 - 1). Let x(s) be the second derivative of d*s**2 + 0 - 1/6*s**4 - s - 1/3*s**3. Solve x(c) = 0.
-1, 0
Let z be -1 + 3/(9/12). Let w(f) be the second derivative of 0 + 4/7*f**2 + 4/21*f**z + 1/42*f**4 - 2*f. Factor w(y).
2*(y + 2)**2/7
Let c(k) = -9*k**5 + 4*k**3 - 5*k**3 + 3*k**3. Suppose -15*a = -17*a + 2. Let y(i) = -i**4. Let g(m) = a*c(m) + 3*y(m). Factor g(o).
-o**3*(3*o - 1)*(3*o + 2)
Let d(n) = -11*n**2 - 4*n + 15. Let l(x) = -x**2 - x - 1. Let i(y) = -8*y**2 - 4*y + 6. Let s(g) = -i(g) + 2*l(g). Let r(t) = -4*d(t) - 7*s(t). Factor r(m).
2*(m - 1)*(m + 2)
Let b(y) be the first derivative of y**3/15 - 2*y**2/5 + 3*y/5 + 6. Factor b(g).
(g - 3)*(g - 1)/5
Let d = 99 - 99. Let n(v) be the first derivative of -1/3*v**5 - 2 - 2/9*v**3 + d*v + 7/12*v**4 + 0*v**2. Find g, given that n(g) = 0.
0, 2/5, 1
Let y = 105 + -733/7. Let -y*j - 4/7 + 2/7*j**2 = 0. What is j?
-1, 2
Factor 7/2*b**2 + 1 - 9/2*b.
(b - 1)*(7*b - 2)/2
Let r(c) be the first derivative of 4*c**5/5 + 5*c**4 + 32*c**3/3 + 8*c**2 - 3. Let r(i) = 0. What is i?
-2, -1, 0
Let f(o) = 35*o**4 - 24*o**3 - 29*o**2 + 24*o - 6. Let p(l) = 12*l**4 - 8*l**3 - 10*l**2 + 8*l - 2. Let n(g) = -6*f(g) + 17*p(g). Find a, given that n(a) = 0.
-1, 1/3, 1
Let z(o) = -o + 1. Let p(r) = -r**2 - 5*r - 30. Let i(l) = -4*p(l) - 20*z(l). Determine t, given that i(t) = 0.
-5
Let o be 654/545 - 0*2/4. Find s, given that 12/5*s**2 + 3/5*s**3 + o + 3*s = 0.
-2, -1
Suppose -5*z = 5*v - 10, -z + 1 = 2*v + 2. Let p be v*(-2)/9*3. What is w in 6*w + 0*w**2 - p*w**2 - 2*w = 0?
0, 2
Let h(z) be the second derivative of -1/2*z**3 + 0 - 1/24*z**4 + z - 9/4*z**2. Factor h(q).
-(q + 3)**2/2
Let d(a) be the first derivative of 3*a**4/4 + a**3 - 3*a**2/2 - 3*a - 5. Solve d(n) = 0.
-1, 1
Factor -23 + 3*i + 0*i - 12*i**2 + 7*i**3 + 25.
(i - 1)**2*(7*i + 2)
Let c(m) be the second derivative of -2/15*m**6 - 1/2*m**2 - 5/4*m**4 + 0 + 2*m + 13/20*m**5 + 7/6*m**3. Factor c(j).
-(j - 1)**3*(4*j - 1)
Let t(j) = j + 6. Let k be t(-4). Factor 3/4*z**4 + 1/4 - z**k - 1/2*z**3 + 1/2*z**5 + 0*z.
(z - 1)*(z + 1)**3*(2*z - 1)/4
Factor 1/3*c**4 - c**3 + 0*c + 2/3*c**2 + 0.
c**2*(c - 2)*(c - 1)/3
Let k(z) be the first derivative of z**6/3 + 4*z**5/5 - 4*z**4 + 4*z**3/3 + 7*z**2 - 8*z - 7. Factor k(s).
2*(s - 1)**3*(s + 1)*(s + 4)
Suppose 5*j**2 + 3*j + 15*j - 6 + j**2 - 21*j**3 + 3*j = 0. Calculate j.
-1, 2/7, 1
Let -2*w**3 + 6/11*w**4 + 2*w**2 - 2/11*w - 4/11 = 0. Calculate w.
-1/3, 1, 2
Let r(p) = -p**2 + 10*p + 16. Let h(l) = -l**2 - l + 1. Let f(i) = -2*h(i) + r(i). Let d be f(-11). Factor 2/3*a**d - 1/3*a**4 - 4/3 - 4/3*a + a**2.
-(a - 2)**2*(a + 1)**2/3
Let d = 9 + -7. Factor -m**5 + 3*m**5 + d*m - 5*m**3 + m**3.
2*m*(m - 1)**2*(m + 1)**2
Let t(g) be the first derivative of g**6/90 - g**5/15 + g**4/6 - 4*g**3/3 - 5. Let l(u) be the third derivative of t(u). Suppose l(f) = 0. What is f?
1
Let v be 8/(1 - 3) + (-97)/(-24). Let m(y) be the third derivative of 1/60*y**5 + 0*y + y**2 + 0*y**3 + 0 - v*y**4. What is h in m(h) = 0?
0, 1
Let i = -13 + 24. Factor -9*z**3 + 6*z - 4*z**4 + z**4 + i*z - 5*z.
-3*z*(z - 1)*(z + 2)**2
Let c = 1/399 - -6/133. Let n(z) be the first derivative of 0*z + 0*z**2 + 6/35*z**5 - 2 + 2/21*z**3 + 3/14*z**4 + c*z**6. Determine u so that n(u) = 0.
-1, 0
Let c(p) be the first derivative of 0*p**2 + 1 - 2/27*p**3 + 0*p. Suppose c(n) = 0. Calculate n.
0
Let w(d) be the second derivative of -2*d - 1/15*d**6 + 0*d**2 + 1/6*d**4 + 0 - 1/18*d**5 + 1/27*d**7 - 2/27*d**3. Suppose w(k) = 0. What is k?
-1, 0, 2/7, 1
Let w be 2 + 69/4 - -1. Let v = -20 