et s(w) be the second derivative of w**4/90 + 2*w**3/15 - 7*w**2/15 - 2*w + 23. Factor s(l).
2*(l - 1)*(l + 7)/15
Let k(b) = -b**2 - b. Let i = -3 + -9. Let m(q) = -8*q**2 - 28*q - 20. Let n(w) = i*k(w) + m(w). Factor n(r).
4*(r - 5)*(r + 1)
Let u(d) be the third derivative of d**8/1008 - d**7/315 - d**6/45 - d**5/90 + 7*d**4/72 + 2*d**3/9 - 10*d**2. Factor u(x).
(x - 4)*(x - 1)*(x + 1)**3/3
Suppose -4*k = -0*k - 24. Suppose -5*o = -4*j - 531 - 64, -2*j - 113 = -o. Factor 124*v + v**3 + 2 - 2*v**3 - o*v + 4*v**2 - k*v**2.
-(v - 1)*(v + 1)*(v + 2)
Suppose -64*b + 17 - 54*b**3 + 144*b**2 - 43*b + 28 - 31*b + 3*b**4 = 0. Calculate b.
1, 15
Suppose -9 - 5 = 2*k. Let q be (-2 - -2 - -1)/(k/(-3)). Determine l so that 0 + q*l**3 - 6/7*l**2 + 3/7*l = 0.
0, 1
Factor 92/3*u + 2/3*u**2 + 30.
2*(u + 1)*(u + 45)/3
Let n(s) be the first derivative of s**9/19656 - s**8/5460 + s**7/5460 - 11*s**3/3 - 2*s + 49. Let a(b) be the third derivative of n(b). Factor a(v).
2*v**3*(v - 1)**2/13
Let c be (-90)/(-27) + (-4)/(-6). Suppose -x + 8 = c. Find z such that -z + x - 2 + z - 2*z**2 = 0.
-1, 1
Let i = -1861/1950 - -38/39. Let s(z) be the second derivative of -z + 1/15*z**3 - 1/15*z**4 + 2/5*z**2 - i*z**5 + 0. Solve s(g) = 0.
-2, -1, 1
Let k(d) be the third derivative of 7/17*d**4 + 7/510*d**6 + 1/1785*d**7 + 0 + 12/17*d**3 - 27*d**2 + 0*d + 61/510*d**5. Determine m so that k(m) = 0.
-6, -1
Let d(h) be the first derivative of 3/70*h**5 + 2/7*h**2 - 1/3*h**3 - 11*h - 6 + 1/21*h**4. Let q(p) be the first derivative of d(p). Factor q(w).
2*(w - 1)*(w + 2)*(3*w - 1)/7
Let m be (2 + (-9)/6)*-6. Let c be (8 + -2)/(m + 5). Solve i**3 - c*i**3 + 5*i**3 = 0 for i.
0
Let a(z) = -z**3 - z**2 - 6*z + 1. Let b(o) = -2*o + 3. Let v(f) = f - 1. Let g(r) = -b(r) - 3*v(r). Let u(s) = -2*a(s) + 14*g(s). Solve u(k) = 0.
-1, 1
Let p(a) be the second derivative of a**4/24 - 25*a**3/12 - 13*a**2/2 + 124*a. Solve p(m) = 0.
-1, 26
Let l(t) = -t**2 + 2. Let i(w) = -w**5 - 3*w**4 - w**3 + 2*w**2 + 2*w + 2. Let y(g) = 2*i(g) - 2*l(g). Let y(d) = 0. Calculate d.
-2, -1, 0, 1
Let x(r) = 2*r**3 + 26*r**2 + 79*r + 37. Let a(j) = -j**3 - 30*j**2 - 79*j - 38. Let d(h) = 3*a(h) + 2*x(h). Factor d(m).
(m - 40)*(m + 1)**2
Let z be 3/((-55)/(-1460)*42). Let c = 24/11 - z. Determine a so that c*a**2 + 8/7*a + 8/7 = 0.
-2
Factor -2904 + 21*z**3 + 274*z**2 + 170*z**2 + 9900*z + 474*z**2.
3*(z + 22)**2*(7*z - 2)
Suppose 3*i - 114 = -96. Let w(v) = 9*v**2 + 24*v + 24. Let a(x) = -x**2 - x. Let h(p) = i*a(p) + w(p). Factor h(t).
3*(t + 2)*(t + 4)
Let y(u) be the third derivative of -u**8/70560 + u**7/2205 - 2*u**6/315 - u**5/15 - 19*u**2. Let g(n) be the third derivative of y(n). Factor g(r).
-2*(r - 4)**2/7
Let z be (-275)/(-484) + 1/(55/10). Find g such that -z*g**3 - 3*g - 3*g**2 + 0 = 0.
-2, 0
Suppose 5*a = 4*g - 41, 2*a + 8 = -2. Factor 4 + 9*f - 8*f**2 - 9*f + 4*f**g.
4*(f - 1)**2*(f + 1)**2
Let p = 505/12 - 42. Let t(q) be the second derivative of 0*q**2 + 3/20*q**5 + p*q**3 - 1/24*q**6 - q + 0 - 3/16*q**4. Suppose t(b) = 0. Calculate b.
0, 2/5, 1
Suppose l = -0*l + 14. Let i be (-1)/((-3)/3) - l/22. Let -i*c**4 + 0 + 8/11*c**2 + 8/11*c + 2/11*c**5 - 6/11*c**3 = 0. Calculate c.
-1, 0, 2
Let c(m) be the third derivative of 1/36*m**5 + 2/9*m**3 + 1/360*m**6 + 1/9*m**4 + 32*m**2 + 0*m + 0. Solve c(s) = 0 for s.
-2, -1
Let k(v) be the third derivative of v**7/630 - 7*v**6/30 + 923*v**5/90 - 287*v**4/6 + 1681*v**3/18 + 110*v**2. Solve k(u) = 0.
1, 41
Solve -196/5 - 42/5*w - 6*w**3 + 2/5*w**4 + 122/5*w**2 = 0 for w.
-1, 2, 7
Suppose -u = -5 - 0. Suppose 10 = u*w - 5. What is f in -6*f**2 + 4*f - 14*f + 4*f - 2 - 2*f**w = 0?
-1
Let 299/12*h**2 + 328/3*h**5 + 1/6 - 344/3*h**4 - 91/6*h**3 - 55/12*h = 0. Calculate h.
-1/2, 2/41, 1/4, 1
Let v(u) = -2*u**3 - u**2 + 6*u. Let k(h) = 10*h**3 + 4*h**2 - 32*h. Let a(x) = 3*k(x) + 16*v(x). Factor a(d).
-2*d**2*(d + 2)
Let j(q) be the second derivative of -q**4/27 - 10*q**3/27 + 28*q**2/9 - 4*q + 12. Let j(c) = 0. Calculate c.
-7, 2
Suppose 0 = 4*g + 4, -3*j + 4*g = -23 + 1. Suppose -j + 16 = 5*k. What is m in -3/2*m - 33/2*m**3 + 33/2*m**k + 9/2*m**4 - 3 = 0?
-1/3, 1, 2
Let v(d) be the first derivative of 5*d**4/16 - 95*d**3/12 + 125*d**2/4 - 40*d - 724. Solve v(m) = 0 for m.
1, 2, 16
Let i(u) be the first derivative of -u**4/14 + 4*u**3/21 + 9*u**2/7 - 36*u/7 - 39. Find l such that i(l) = 0.
-3, 2, 3
Let r(u) be the first derivative of -3*u - 1/18*u**4 - 3 + 0*u**2 - 2/9*u**3. Let c(t) be the first derivative of r(t). Factor c(l).
-2*l*(l + 2)/3
Suppose -42 = -5*v + 4*s, -2*v + 46 = 3*v - 2*s. Let o be 2/(-10) - (-2)/v. Factor 2/7*t**4 + 0 + o*t**2 + 2/7*t**3 + 0*t.
2*t**3*(t + 1)/7
Find o, given that 55/12*o**2 - 1/6*o**5 - 13/2*o**3 + 0 + 23/12*o**4 + 25/6*o = 0.
-1/2, 0, 2, 5
Let g(n) be the second derivative of -n**7/945 + n**6/108 - 4*n**5/135 + n**4/27 + 8*n**2 + n. Let i(l) be the first derivative of g(l). Factor i(h).
-2*h*(h - 2)**2*(h - 1)/9
Factor 0 - 1/4*o**2 + 13/4*o.
-o*(o - 13)/4
Let h(v) be the second derivative of -5*v**4/12 + 5*v**3/3 + 9*v + 30. What is o in h(o) = 0?
0, 2
Let b = -142 - -146. Factor 4*o**3 + 4*o**3 - 14*o**b - 6*o**4 + 12*o**5.
4*o**3*(o - 1)*(3*o - 2)
Let o(p) be the third derivative of -8*p**2 - 1/300*p**6 + 0*p + 0*p**3 + 0*p**4 + 0 - 1/150*p**5. Let o(w) = 0. Calculate w.
-1, 0
Let h(g) be the second derivative of 0*g**3 + 1/18*g**4 + 0*g**2 + 0 + 13*g + 1/30*g**5. Factor h(d).
2*d**2*(d + 1)/3
Let q(b) be the first derivative of -b**6/9 + 16*b**5/15 - 13*b**4/6 - 44*b**3/9 + 32*b**2/3 + 64*b/3 - 172. Find x such that q(x) = 0.
-1, 2, 4
Let m(s) be the first derivative of 0*s**2 + 0*s - 3 + 4/27*s**3 - 1/18*s**4. Suppose m(j) = 0. Calculate j.
0, 2
Let i(t) = -2*t**2 + 3*t + 2. Let n(h) = 6*h**2 - 22*h + 26. Let g(q) = -4*i(q) - 2*n(q). Solve g(d) = 0.
3, 5
Let c(p) be the second derivative of -2/5*p**2 + 0 - 1/30*p**4 - 4*p + 1/5*p**3. Factor c(o).
-2*(o - 2)*(o - 1)/5
Let j(a) be the third derivative of a**5/30 - 13*a**4/12 + 2*a**2 - 154*a. Factor j(r).
2*r*(r - 13)
Let t(y) be the first derivative of 2*y**3/3 - 2*y + 70. Factor t(h).
2*(h - 1)*(h + 1)
Let s(b) be the second derivative of -b**5/110 + 5*b**4/22 - 25*b**3/11 + 23*b**2/2 - 22*b. Let w(k) be the first derivative of s(k). Factor w(d).
-6*(d - 5)**2/11
Let t(i) = -i**2 - i + 1. Let y be (2 - 0) + 7/(-7). Let o(k) = -5*k**2 - 11*k - 4. Let n(u) = y*o(u) - 2*t(u). Factor n(w).
-3*(w + 1)*(w + 2)
Let m(y) be the third derivative of -y**6/360 - 4*y**5/45 - 8*y**4/9 - 16*y**2. Factor m(d).
-d*(d + 8)**2/3
Let p(s) = -s**2 - 9*s - 4. Let m be p(-9). Let l be (3/m)/((-36)/96). What is c in 10*c**3 + c**4 + 12*c + c**4 - c - 3*c + 16*c**l = 0?
-2, -1, 0
Let k = 43798/38311 + -2/5473. Let u(c) be the first derivative of -9 + 32/7*c + 2/21*c**3 + k*c**2. What is r in u(r) = 0?
-4
Let f(k) be the third derivative of 1/300*k**6 - 3/5*k**3 + 0 + 0*k + 4*k**2 + 1/30*k**5 + 1/20*k**4. Factor f(m).
2*(m - 1)*(m + 3)**2/5
Let r(l) be the second derivative of 0*l**4 + 1/10*l**3 + 0 + 18*l + 0*l**2 - 3/100*l**5. Factor r(u).
-3*u*(u - 1)*(u + 1)/5
Let l = -22347/395 + 283/5. Let y = 87/316 - l. Factor -1/2*s - y*s**2 + 3/4.
-(s - 1)*(s + 3)/4
Let x(q) be the second derivative of -q**9/5040 + 23*q**3/6 - 12*q. Let p(r) be the second derivative of x(r). Let p(i) = 0. Calculate i.
0
Let t be (2/(-4))/(4/(-8)). Let h be 2/2 - -1*t. Find q, given that q**2 - 13*q - 10*q - 22*q**h - 13*q + 12 = 0.
-2, 2/7
Let l(m) be the first derivative of -184/3*m**3 + 38 - 30*m**4 - 36/5*m**5 - 36*m - 2/3*m**6 - 66*m**2. Factor l(t).
-4*(t + 1)**3*(t + 3)**2
Let q(m) = -4*m**2 + m**2 - 3*m + 0 - 1 + m**3. Let z(g) = 4*g**3 + 4*g + 2 + 164*g**2 - 5*g**3 + 169*g**2 - 329*g**2. Let c(p) = -3*q(p) - 2*z(p). Factor c(o).
-(o - 1)**2*(o + 1)
Let v be 36/(-15)*(26/(-4) + 4). Find b such that 5*b**5 - 5*b**3 + 5*b**4 + 8*b**4 + v*b**4 - 24*b**4 + 5*b**2 = 0.
-1, 0, 1
Let n(u) be the third derivative of -u**5/36 + 5*u**3/18 + 38*u**2. Factor n(f).
-5*(f - 1)*(f + 1)/3
Suppose 4*u + u - 20 = 0. Let c(w) be the second derivative of u*w + 0 + 1/6*w**4 + 1/3*w**3 - 2*w**2. Determine y, given that c(y) = 0.
-2, 1
Let g(q) be the second derivative of -q**8/26880 + q**7/5040 + q**6/960 - 8*q**4/3 - 24*q. Let d(z