ond derivative of 7*c**6/120 + 3*c**5/10 - c**4/2 - 5*c**3/6 - 11*c. Let a(p) be the second derivative of g(p). Factor a(z).
3*(z + 2)*(7*z - 2)
Let z(a) be the first derivative of 2*a**5/25 + 2*a**4 + 147. Suppose z(j) = 0. What is j?
-20, 0
Let s(i) be the third derivative of 0*i + 11/40*i**4 + 0 + 1/25*i**5 - 23*i**2 + 3/5*i**3 - 1/200*i**6. Solve s(l) = 0.
-1, 6
Let f(p) = -4*p**3 + 58*p**2 + 112*p + 70. Suppose 10*g - 12*g + 6 = 0. Let q(y) = y**3 - 19*y**2 - 37*y - 23. Let r(n) = g*f(n) + 10*q(n). Factor r(b).
-2*(b + 1)*(b + 2)*(b + 5)
Factor 10/9*s - 8/9*s**2 - 4/9 + 2/9*s**3.
2*(s - 2)*(s - 1)**2/9
Let m be (4 - (2 + -5)) + (-6 + 34)/(-4). Factor a**3 + 3*a**4 + m + 0*a + 0*a**2 + 5/4*a**5.
a**3*(a + 2)*(5*a + 2)/4
Let h be (-16)/(2816/77)*-4. Suppose 1/4*m**5 + h*m**4 + 7/2*m**3 + 1/2*m**2 - 9/4 - 15/4*m = 0. What is m?
-3, -1, 1
Let p(z) be the first derivative of -z**4/2 + 6*z**3 - 15*z**2 + 14*z - 4. Factor p(f).
-2*(f - 7)*(f - 1)**2
Let u(j) = 16*j**3 + 375*j**2 + 9. Let x(f) = 4*f**3 + 94*f**2 + 2. Let t(l) = 2*u(l) - 9*x(l). Suppose t(w) = 0. What is w?
-24, 0
Let b(j) be the first derivative of 0*j + 1/2*j**3 + 1/60*j**5 - 9 + 1/6*j**4 + 7/2*j**2. Let n(k) be the second derivative of b(k). Factor n(y).
(y + 1)*(y + 3)
Let p(v) be the first derivative of -v**4 + 160*v**3 - 9600*v**2 + 256000*v + 102. Factor p(l).
-4*(l - 40)**3
Let h be ((-10)/4)/5*-10. Suppose 4*c - h - 11 = 0. Suppose 1 + 3*l**2 + c*l + l**3 - 4*l + 0*l**3 + 3*l = 0. Calculate l.
-1
Let c(u) = u + 14. Let w be c(7). Let o(p) = p**2 - 23*p + 44. Let x be o(w). Factor -4/7*i**x + 2/7*i**3 - 2/7*i + 4/7.
2*(i - 2)*(i - 1)*(i + 1)/7
Let y(v) be the third derivative of -4*v**7/735 + 17*v**6/420 - 8*v**5/105 + v**4/28 - 70*v**2. Solve y(w) = 0.
0, 1/4, 1, 3
Let a be (-14 - -13)*1/(-10). Let j(p) be the first derivative of 0*p - a*p**4 + 0*p**3 - 2/25*p**5 - 4 + 0*p**2. Factor j(s).
-2*s**3*(s + 1)/5
Let z(w) = w**3 + 4*w**2 - w. Let t(k) = -k**3 - 2*k**2 + k. Let m(b) = 2*t(b) + z(b). Factor m(g).
-g*(g - 1)*(g + 1)
Let z(n) = 4*n**2 + 31*n - 5. Let k be z(-8). Let m be -4 + k*(-24)/(-15). Factor 0*b + m*b**2 + 6/5*b**3 + 0 + 0*b**4 - 2/5*b**5.
-2*b**2*(b - 2)*(b + 1)**2/5
Let v(d) be the first derivative of -2*d**5/15 + 4*d**4/3 - 4*d**3 + 18*d - 637. Solve v(y) = 0.
-1, 3
Let p(n) be the second derivative of 0 + 1/18*n**4 + 2/9*n**3 + 11*n - 1/15*n**5 + 0*n**2 - 1/45*n**6. Find l, given that p(l) = 0.
-2, -1, 0, 1
Let b(l) = 5*l**3 - 3*l + 2. Let p be 5/(50/(-15))*10. Let z(i) = 35*i**3 - 20*i + 15. Let g(d) = p*b(d) + 2*z(d). Find y such that g(y) = 0.
-1, 0, 1
Let m(t) = -t**3 + 8*t**2 - 9*t - 2. Let n(o) = 6*o**3 - 42*o**2 + 49*o + 9. Let f(u) = -11*m(u) - 2*n(u). Factor f(a).
-(a - 1)*(a + 1)*(a + 4)
Determine i, given that -799*i**4 + 2*i**2 + 32*i**2 - 16*i**3 - 20*i + 801*i**4 = 0.
0, 1, 2, 5
Suppose -48 = a - 13*a. Factor 4*j**5 + 25*j - 8*j**a + 8*j**2 - 54*j + 25*j.
4*j*(j - 1)**3*(j + 1)
Suppose 2*x - 9 = x. Let h(y) be the first derivative of -3*y + 3*y**3 + x*y**2 + 6 - 2*y**3 + 30*y. Factor h(z).
3*(z + 3)**2
Let f(r) = 6*r**2 - 31*r + 14. Let o(n) = 3*n**2 - 15*n + 6. Let k(l) = -6*f(l) + 11*o(l). Factor k(p).
-3*(p - 6)*(p - 1)
Solve -56 + 172/3*j - 4/3*j**2 = 0 for j.
1, 42
Let y(i) be the second derivative of -3*i**5/80 + i**4/4 + 11*i**3/8 - 45*i**2/4 + 128*i. What is x in y(x) = 0?
-3, 2, 5
Let q(s) = -41*s**2 - 54*s + 32. Let k(p) = p**2 - p - 2. Let t(j) = -6*k(j) - q(j). Factor t(c).
5*(c + 2)*(7*c - 2)
Let x(g) be the third derivative of -35/24*g**4 - 5/3*g**3 - 7*g**2 + 0 + 0*g - 1/8*g**6 - 2/3*g**5. Factor x(c).
-5*(c + 1)**2*(3*c + 2)
Suppose -2541/2 + 825/2*d + 3/2*d**3 - 87/2*d**2 = 0. What is d?
7, 11
Let k(g) be the second derivative of g**7/2520 + g**6/40 + 27*g**5/40 - 7*g**4/4 - 22*g. Let p(f) be the third derivative of k(f). Factor p(s).
(s + 9)**2
Let a be (13 - (-2 + 2))*1. Let b(w) = -w**3 + 13*w**2 + w - 5. Let s be b(a). Suppose 3*t**3 + 4*t**3 + 12*t**2 + 6 + 3*t - s = 0. Calculate t.
-1, 2/7
Let l(q) be the third derivative of q**6/72 + 3*q**5/4 + 135*q**4/8 + 4*q**3/3 - 25*q**2. Let g(f) be the first derivative of l(f). Suppose g(c) = 0. What is c?
-9
Let h(s) be the third derivative of 1/1470*s**7 - 31*s**2 + 0*s**6 + 0*s + 1/42*s**3 - 1/210*s**5 + 0*s**4 + 0. Factor h(x).
(x - 1)**2*(x + 1)**2/7
Let a be 6 - 0 - (-3 - -9). Let x(i) be the third derivative of 0 - 1/180*i**6 + 1/90*i**5 - 3*i**2 - 1/9*i**3 + a*i + 1/36*i**4. Factor x(s).
-2*(s - 1)**2*(s + 1)/3
Let z = -1 + 9. Let x be z/(-14) - (-106)/14. Factor n**3 + 4 - x*n**3 - 14*n**2 + 2*n**4 + 6*n - 6*n**4 + 14*n**4.
2*(n - 1)**2*(n + 1)*(5*n + 2)
Let o(y) = -y - 4. Let u be o(-7). Suppose 3 = -d + 3*m - u, -5*m + 15 = 0. Solve 3*i**2 - 3*i - 3 + d*i = 0 for i.
-1, 1
Let c(p) be the first derivative of -3*p**4/14 + 2*p**3/21 + 8*p**2/7 + 8*p/7 + 206. Factor c(a).
-2*(a - 2)*(a + 1)*(3*a + 2)/7
Let f(p) = -p**2 + 6*p. Let j be f(3). Suppose -j*r = -6 - 12. What is m in 0 + 1/3*m**3 - 1/3*m**4 + 1/3*m**r - 1/3*m = 0?
-1, 0, 1
Suppose 4*x = 5*g + 5, -x - 6 + 3 = 3*g. Let l(q) be the first derivative of 0*q**2 + x*q + 1 - 2/15*q**5 + 0*q**3 - 1/6*q**4. Factor l(f).
-2*f**3*(f + 1)/3
Let m(l) be the third derivative of l**7/140 + 23*l**6/80 - 5*l**5/4 + 2*l**2 - 2*l. Solve m(d) = 0.
-25, 0, 2
Let v(u) be the first derivative of -u**3/6 - 25*u**2/4 - 33*u + 140. Factor v(t).
-(t + 3)*(t + 22)/2
Let n be 3*(-3)/27 - 2/3. Let s be 0/14*(0 + n). Suppose s + 0*l - 3/7*l**3 - 1/7*l**2 = 0. Calculate l.
-1/3, 0
Let v(o) be the first derivative of -o**6/6 + o**5/5 + 2*o**4 - 4*o**3 - 81. Find i such that v(i) = 0.
-3, 0, 2
Let b(a) be the first derivative of 0*a + 1/15*a**3 + 11 + 0*a**2 + 1/20*a**4 - 1/30*a**6 - 1/25*a**5. Find n such that b(n) = 0.
-1, 0, 1
Factor 5*a**2 + 21*a**4 + 8*a + 22*a + 20*a - 50*a**3 - 26*a**4.
-5*a*(a - 1)*(a + 1)*(a + 10)
Let b(m) = 2*m - 6. Let z be b(14). Suppose 25*p - 9 = z*p. Suppose -9*t**5 - 2 + 21*t**4 - 27*t**4 + 8*t**2 + 0 + 14*t**p - 5*t = 0. Calculate t.
-1, -1/3, 2/3, 1
Let l(s) = -s**2 - s. Let v(t) = -3*t**2 - 22*t - 40. Let b(g) = -4*l(g) + v(g). Let w be b(20). Suppose 1/3*o**3 + w - 2/3*o + 1/3*o**2 = 0. Calculate o.
-2, 0, 1
Suppose 2*d = -l + 5, 4*d - 4*l - 30 = 2*d. Suppose 6 = -2*v, 5*c - d*v + 8 = 38. Solve 4*f**c - 2*f**3 - f**5 - 2*f**2 + f**4 - f - 5 + 6 = 0 for f.
-1, 1
Let s(w) be the third derivative of -w**5/15 + w**4/3 + 10*w**3 - 97*w**2. Suppose s(g) = 0. What is g?
-3, 5
Let r(m) be the first derivative of -m**3 - 9*m**2 - 15*m + 76. Solve r(t) = 0.
-5, -1
Let t(p) = -2*p**3 + 8*p**2 - 7*p + 4. Let d be t(3). Let z be (d - 5/5)*-1. Suppose z*x**2 + 2/7*x**5 + 0 + 0*x**3 + 0*x + 2/7*x**4 = 0. Calculate x.
-1, 0
Solve -5/6*h**5 + 5/3 + 0*h**4 + 10/3*h**3 - 5/2*h - 5/3*h**2 = 0 for h.
-2, -1, 1
Find u, given that 12*u + 3*u**4 + 18/5*u**2 - 24/5 - 51/5*u**3 = 0.
-1, 2/5, 2
Factor -80*i**2 - 2*i**5 + 3*i**5 + 4*i**5 - 9*i**3 + 129*i**3 - 45*i**4.
5*i**2*(i - 4)**2*(i - 1)
Suppose i = -4*s - 17, -4*i + 0*s - 3*s = 3. Suppose 0*w + 4 = -2*w, -2*w + 2 = 3*j. Factor 1/3 - 4/3*y**i + 1/3*y**4 - 4/3*y + 2*y**j.
(y - 1)**4/3
Let z(j) = -j**3 + 10*j**2 - 9*j + 3. Let g be z(9). Suppose 3*u - 4*u - 2*h + 12 = 0, 3*h - 21 = -g*u. Factor 3/7 - 6/7*t + 3/7*t**u.
3*(t - 1)**2/7
Let z(f) = f**2 - f + 2. Let v(p) = 5*p**2 + 31*p + 38. Let k(x) = -2*v(x) + 6*z(x). Factor k(d).
-4*(d + 1)*(d + 16)
Let q = 1568 - 1565. Factor 12/11*x**q - 2/11*x**4 - 26/11*x**2 + 24/11*x - 8/11.
-2*(x - 2)**2*(x - 1)**2/11
Suppose 5/3*z + 1/3*z**2 + 2 = 0. Calculate z.
-3, -2
Suppose 100*c - 132*c + 160 = 0. Factor 0 - 1/7*m + 0*m**3 - 2/7*m**4 + 1/7*m**c + 2/7*m**2.
m*(m - 1)**3*(m + 1)/7
Factor 20*w + 22 + 43 + 46*w + 3*w**2 - 2.
3*(w + 1)*(w + 21)
Determine m, given that -348*m**3 - 14*m**4 - 2121843 - 292668*m - 14*m**4 + 25*m**4 - 15138*m**2 + 0*m**4 = 0.
-29
Let y be 7 - 4/12 - (-4)/(-6). Solve -28*w - 4*w**2 + 29 - y + 11 - 2 = 0.
-8, 1
Let h(v) = 12*v**3 - 8*v**2 + 10*v - 8. Let y(k) = k**3 + k. Let i(j) = h(j) - 10*y(j). Let s(g) = g + 1. Let p(n) = -i(n) - 8*s(n). Let p(q) = 0. What is q?
0, 2
Suppose 345 = 2*r - 33. Factor 3*u**3 - 2*u + u**2 + 189 - r.
u*(u + 1)*(3*u - 2)
Let i(l) = -5*l**4 - 25*l**3 - 10*l**2 + 25*l + 5. Let f(y) =