e the first derivative of k(x). Solve y(h) = 0 for h.
-1, 0, 1
Let h(w) be the third derivative of 0*w**4 + 0 - 1/90*w**5 + 14*w**2 + 0*w**3 + 1/315*w**7 + 0*w + 0*w**6. Factor h(l).
2*l**2*(l - 1)*(l + 1)/3
Let d(o) be the first derivative of 0*o**3 - 1 + 0*o + 0*o**4 - 3/10*o**5 + 0*o**2 - 1/4*o**6. Let d(v) = 0. Calculate v.
-1, 0
Suppose 2*h + 2*u + 2 = 0, -2*u + 13 = -3*h + 15. Factor 0*c**3 + 1/5*c**4 + h - 2/5*c - 3/5*c**2.
c*(c - 2)*(c + 1)**2/5
Let f(t) = 4*t**4 - 2*t**3 - 8*t**2 + 6*t - 2. Let h(p) = p**3 + 1 - 4*p**2 - p + p**2 + 0*p**2 - p**4 + 4*p**2. Let b(u) = 2*f(u) + 4*h(u). Factor b(c).
4*c*(c - 1)**2*(c + 2)
Solve 2/7*j**3 - 2*j**2 + 32/7*j - 24/7 = 0 for j.
2, 3
Let s(a) be the second derivative of -a**10/22680 + a**8/2520 - a**6/540 - 7*a**4/12 - 30*a. Let c(o) be the third derivative of s(o). Factor c(j).
-4*j*(j - 1)**2*(j + 1)**2/3
Let a(i) be the second derivative of 1/30*i**4 - 2/15*i**3 + 1/5*i**2 + 0 - 9*i. What is r in a(r) = 0?
1
Let l(p) be the second derivative of p**6/135 - p**5/45 - p**4/18 + 4*p**3/27 + 4*p**2/9 + 46*p + 1. Factor l(o).
2*(o - 2)**2*(o + 1)**2/9
Let a(g) be the second derivative of g**6/6 - 15*g**5/4 + 145*g**4/12 + 345*g**3/2 + 405*g**2 + 501*g. Let a(h) = 0. Calculate h.
-2, -1, 9
Let l(d) = -d**3 + 7*d**2 + d - 7. Let y be l(7). Solve y*p**2 + 3*p**2 + 3 + 6*p**2 - 9*p - 3*p**2 = 0.
1/2, 1
Let o = 1418 + -14179/10. Factor -1/10*r + o*r**2 - 1/5.
(r - 2)*(r + 1)/10
Factor 4 - 117*o + 3 - 9 + 2 - 3*o**2.
-3*o*(o + 39)
Let d(p) be the second derivative of -p**6/90 + 3*p**5/20 - 13*p**4/36 - 5*p**3/2 + 25*p**2/3 - 2*p + 17. Factor d(j).
-(j - 5)**2*(j - 1)*(j + 2)/3
Let i(h) be the first derivative of -h**3/15 - 4*h**2/5 - 12*h/5 - 105. Factor i(k).
-(k + 2)*(k + 6)/5
Let y be 2/(-8) + (-133)/(-196). Let h be 9*(244/(-84) - -3). Find o, given that -h - y*o**2 - 9/7*o = 0.
-2, -1
Suppose -b + 4*o = 2, -5 + 2 = -3*o. Find n such that -2*n - 4*n + 3*n**b - 4*n + 4*n = 0.
0, 2
Factor -1/5*i**3 - 29/5*i**2 - 224/5*i - 196/5.
-(i + 1)*(i + 14)**2/5
Suppose 5*s = -2*j + 4*j + 2, -2*s = -2*j - 2. Let v = 241 + -237. Factor -4*p + s*p + p**4 + v*p.
p**4
Suppose 8*b + 1350 = 13*b. Let u = 1893/7 - b. What is q in u*q**3 + 0 - 3/7*q**4 - 3/7*q**5 + 3/7*q**2 + 0*q = 0?
-1, 0, 1
Suppose -21*p + 8 = -17*p. Let m be (-1)/((-10)/13) - 3/6. Determine c, given that 4/5*c**5 - 4/5*c**4 + 0 - 4/5*c**3 + m*c**p + 0*c = 0.
-1, 0, 1
Let f = -48 + 30. Let u be (f/(-312))/(2/16). Suppose 2/13*n**2 - 8/13*n + u = 0. Calculate n.
1, 3
Factor 0 + 10/13*m**3 + 120/13*m - 158/13*m**2.
2*m*(m - 15)*(5*m - 4)/13
Let o(x) be the first derivative of -x**6/280 + x**5/140 + x**4/56 - x**3/14 + 15*x**2/2 - 10. Let s(j) be the second derivative of o(j). What is b in s(b) = 0?
-1, 1
Let d(p) = -5*p + 38. Let m be d(7). Let q be (-25)/(-6) + 0 + m/(-2). Suppose 18*h**2 - 56/3*h + 202/3*h**3 - 112/3*h**4 - 32*h**5 + q = 0. Calculate h.
-2, -2/3, 1/4, 1
Suppose j - 3*l = -4*j + 2, 0 = -4*j + 4*l. Suppose j - 7 = -3*r. Suppose -c + 3*c**2 + 2*c**3 - r + 5*c - 7*c = 0. What is c?
-2, -1/2, 1
Let o(f) be the first derivative of -7 + 6*f**3 + 0 - f**4 + 2*f**3 + 3. Factor o(m).
-4*m**2*(m - 6)
Factor 0*r**3 - 6*r**4 + 30*r**5 - 16*r**5 + 6*r**2 + 0*r**4 + 2*r**3 - 4*r - 12*r**5.
2*r*(r - 2)*(r - 1)**2*(r + 1)
Let u(w) = 14*w**2 + 89*w + 147. Let k(v) = -6*v**2 - 44*v - 74. Let l(s) = 10*k(s) + 4*u(s). Factor l(j).
-4*(j + 2)*(j + 19)
Let q(w) be the third derivative of -w**9/100800 - w**8/6720 - w**7/1050 - w**6/300 + w**5/20 + 2*w**2. Let i(g) be the third derivative of q(g). Factor i(u).
-3*(u + 1)*(u + 2)**2/5
Let w = 165 + -194. Let b be 29/w - 9/(-5). Suppose -2/5 - b*v - 2/5*v**2 = 0. Calculate v.
-1
Let -536*s**3 - 5*s**2 + 539*s**3 - 223*s + 0*s**2 + 26*s**2 + 91*s = 0. Calculate s.
-11, 0, 4
Let s(v) be the first derivative of -v**6/360 + v**5/90 + 5*v**4/72 - v**3/3 - 10*v**2 - 19. Let g(p) be the second derivative of s(p). Solve g(i) = 0 for i.
-2, 1, 3
Let d be (-26)/(-4) + 3/(-6). Let q = 9 - 6. Factor 3*n + 2 + d*n**2 + q*n - 14*n**2.
-2*(n - 1)*(4*n + 1)
Let u = 18/25 + -47/100. Suppose -u*y + 1/2 - 1/2*y**2 + 1/4*y**3 = 0. What is y?
-1, 1, 2
Let b(v) be the first derivative of v**8/1176 + 2*v**7/735 - v**5/105 - v**4/84 + 13*v**2/2 + 19. Let n(p) be the second derivative of b(p). Factor n(h).
2*h*(h - 1)*(h + 1)**3/7
Find p, given that -224/17*p - 2/17*p**2 - 6272/17 = 0.
-56
Find p, given that 17/7*p**2 + 1/7*p**4 - 8/7*p**3 - 10/7*p + 0 = 0.
0, 1, 2, 5
Factor -244*q**4 - 7*q - 25*q - 655*q**3 + 240*q**4 + 675*q**3 - 8*q**2.
-4*q*(q - 4)*(q - 2)*(q + 1)
Suppose 4*r + 2*z - 7 - 13 = 0, -4*r + 3*z = 0. Suppose r*s = 4*s - 6. Factor 0 + 2*q + s*q**2 + 3/2*q**4 + 11/2*q**3.
q*(q + 1)*(q + 2)*(3*q + 2)/2
Let f(s) be the second derivative of -s**5/40 + 19*s**4/12 + 13*s**3/4 + 2*s + 3. Factor f(j).
-j*(j - 39)*(j + 1)/2
Let m = 1702 - 1698. Let b(x) be the second derivative of 0 - 6*x - 1/36*x**m + 1/2*x**2 + 1/9*x**3. Factor b(g).
-(g - 3)*(g + 1)/3
Let c be ((-12)/9)/((-1)/(-6)). Let y be ((-18)/c)/(-9) - 9/(-20). Solve 2/5*l + y*l**2 + 1/5 = 0.
-1
Let j(h) be the second derivative of -h**5/10 + h**4/2 + 18*h**3 - 112*h**2 - h + 4. Factor j(n).
-2*(n - 8)*(n - 2)*(n + 7)
Suppose -2 + 2 = -m + 4. Suppose c**3 - 5/4*c**2 - 1/4*c**m + 1/2*c + 0 = 0. Calculate c.
0, 1, 2
Let f be -5 - (0 - (4 + -2)). Let m be (f - -8*5/10)*3. Factor 0*o**2 + 3/4*o**m - 9/4*o - 3/2.
3*(o - 2)*(o + 1)**2/4
Let n(d) be the second derivative of 0 - 109/20*d**4 + 31/10*d**3 + 459/100*d**5 - 44/25*d**6 - 9/10*d**2 + 8/35*d**7 + 38*d. What is b in n(b) = 0?
1/4, 1, 3
Factor -76*x - 98*x**2 + 193*x**2 + 4*x**3 + 83 + 37 - 95*x**2.
4*(x - 3)*(x - 2)*(x + 5)
Factor -472/13*p**2 + 0 - 27848/13*p - 2/13*p**3.
-2*p*(p + 118)**2/13
Let u be (48/(-18))/(2/6). Let p be 2*-2*6/u. Factor 3 - 6*d**2 - 2*d**3 + 2*d**4 + p + 4*d**3 - 2 - 2*d.
2*(d - 1)**2*(d + 1)*(d + 2)
Let t(z) = z**3 + z - 1. Let a(f) = -f - 15*f**2 + 5*f + 56*f**4 + 2 - 59*f**4 + 10*f**3. Let h(o) = a(o) + 2*t(o). Factor h(u).
-3*u*(u - 2)*(u - 1)**2
Let k(w) be the third derivative of -w**7/840 - 7*w**6/240 - 19*w**5/80 - 19*w**4/24 - 4*w**3/3 + 17*w**2 + 20*w. Determine a so that k(a) = 0.
-8, -4, -1
Let m(r) = 6*r**3 - 69*r**2 - 422*r - 651. Let z(v) = -v**3 + 14*v**2 + 84*v + 130. Let l(a) = 2*m(a) + 11*z(a). Factor l(q).
(q + 4)**2*(q + 8)
Let m(l) be the first derivative of -7*l**6/160 - l**5/30 + l**4/24 + l**2/2 + 35. Let p(j) be the second derivative of m(j). Find g, given that p(g) = 0.
-2/3, 0, 2/7
Let q(z) be the third derivative of -z**7/105 + 3*z**6/20 - 7*z**5/15 + 34*z**2 + 5*z. Suppose q(u) = 0. Calculate u.
0, 2, 7
Let u(f) be the first derivative of -f**4/26 - 2*f**3/13 - 3*f**2/13 - 2*f/13 + 16. Factor u(j).
-2*(j + 1)**3/13
Let 0 - 44/3*a**3 - 16*a + 92/3*a**2 = 0. Calculate a.
0, 1, 12/11
What is v in 0*v**2 + 4/5*v**3 + 0 + 0*v + 2/5*v**4 = 0?
-2, 0
Determine a so that -7*a**2 - 5 - 16*a**2 + 3*a**2 - 19 - 44*a = 0.
-6/5, -1
Let n be (4012/264*-2)/((-3)/9). Let g = n - 91. Factor 8/11*k + 8/11*k**3 - 2/11 - 12/11*k**2 - g*k**4.
-2*(k - 1)**4/11
Suppose -5*j = -10*j + 5. Let d(a) = 7*a**2 + 3*a - 2. Let b be d(j). Solve v**3 + 8*v - b*v**2 + 3*v**3 - 4*v**2 = 0.
0, 1, 2
Let a(t) be the third derivative of t**6/120 - 2*t**5/15 - t**4/2 + 24*t**3 + 185*t**2. Factor a(w).
(w - 6)**2*(w + 4)
Let h(z) be the first derivative of -z**4/2 - 22*z**3/9 - 4*z**2 - 8*z/3 + 37. Factor h(i).
-2*(i + 1)*(i + 2)*(3*i + 2)/3
Let f(x) be the first derivative of -x**3/18 + x**2/2 - 5*x/6 + 308. Factor f(j).
-(j - 5)*(j - 1)/6
Let b(c) be the first derivative of c**3/9 - 41*c**2/6 - 14*c + 221. Solve b(h) = 0 for h.
-1, 42
Let a be (-92)/(-16) + -6 + 190/(-8). Let j be a/(-18) - (-5)/(-6). Suppose -3/2*t**2 + j*t**4 + t + 0 + 0*t**3 = 0. Calculate t.
-2, 0, 1
Let f = 21312/5 - 4260. Factor -f*d**2 + 0*d**3 + 0 + 4/5*d**4 - 8/5*d.
4*d*(d - 2)*(d + 1)**2/5
Let c(o) be the first derivative of -3*o**5/20 + o**3 - 40. Determine u so that c(u) = 0.
-2, 0, 2
Factor 22/3*h + 2/3*h**2 + 16.
2*(h + 3)*(h + 8)/3
Let w(c) be the second derivative of 55/2*c**3 + 1/4*c**5 + 0 + 90*c**2 + c + 25/6*c**4. Solve w(n) = 0.
-4, -3
Factor 16*b - 16*b + 2*b**4 - b**4 - b**5 + b**3 - b**2.
-b**2*(b - 1)**2*(b +