1)/5
Let k(o) = -29*o**3 + 17*o**2 - 17*o - 34. Let s(u) = 10*u**3 - 6*u**2 + 6*u + 12. Let t(h) = -6*k(h) - 17*s(h). Factor t(w).
4*w**3
Let h(y) be the second derivative of y**10/196560 - y**9/49140 - y**4/3 + 12*y. Let c(i) be the third derivative of h(i). Factor c(d).
2*d**4*(d - 2)/13
Let h be ((-929)/7)/((-3)/(-15)). Let n = h + 665. Solve -n*w**2 + 0 - 2/7*w = 0 for w.
-1/5, 0
Let a(d) be the first derivative of 5/3*d - 1/9*d**3 + 29 - 2/3*d**2. Suppose a(s) = 0. What is s?
-5, 1
Suppose -y + 3 = -0*y. Find f such that 3*f**5 + 34 - 34 - 6*f**y + 3*f**4 = 0.
-2, 0, 1
What is n in 2*n**2 - 3*n**2 - 44 + 64 - 32 - 8*n = 0?
-6, -2
Let x(i) be the third derivative of i**6/30 + 16*i**5/5 + 96*i**4 + 84*i**2 + 5. Determine u so that x(u) = 0.
-24, 0
Let h(j) = 5*j - 5*j - 3*j**2 - 5*j - 4*j. Let z(i) = 2*i + 17*i + 3*i**2 + 3*i**2. Let l(t) = -7*h(t) - 3*z(t). Determine x so that l(x) = 0.
-2, 0
Suppose -80 = -2*c + 2*v, -2*v = -0*v - 10. Let j = -1 + 3. Factor -2 - c*o**2 + 2 + 41*o**j.
-4*o**2
Suppose 13 = 2*t - t + 4*j, 5 = -5*j. Factor 4*p**4 - 8*p**3 - t*p**3 + 20*p**2 + 6*p**3 - 5*p**3.
4*p**2*(p - 5)*(p - 1)
Let c(u) be the first derivative of -u**8/1344 + u**7/840 + u**6/480 - u**5/240 + 7*u**2 - 6. Let x(k) be the second derivative of c(k). Solve x(n) = 0.
-1, 0, 1
Let c(o) be the first derivative of o**4/12 - 7*o**3/9 + 7*o**2/3 - 8*o/3 - 38. Suppose c(f) = 0. Calculate f.
1, 2, 4
Let k(u) = -9*u**4 + 13*u**3 - 10*u**2 - 13*u - 1. Let d(g) = -44*g**4 + 64*g**3 - 48*g**2 - 64*g - 4. Let v(x) = 5*d(x) - 24*k(x). Factor v(j).
-4*(j - 1)**3*(j + 1)
Factor 0*b**2 + 0 + 0*b + 16/5*b**4 - 2/5*b**5 - 14/5*b**3.
-2*b**3*(b - 7)*(b - 1)/5
Let g(a) = 3*a**3 - 509 - 5*a**2 - 3*a + 509. Let s(y) be the second derivative of -y**5/20 + y**4/6 + y**3/6 + 2*y. Let h(w) = 2*g(w) + 5*s(w). Factor h(f).
f*(f - 1)*(f + 1)
Let k(i) = -7*i**4 + 3*i**3 + 3*i**2 - 7*i - 3. Let g(h) = -13*h**4 + 7*h**3 + 7*h**2 - 13*h - 5. Let x(w) = 3*g(w) - 5*k(w). Suppose x(m) = 0. Calculate m.
-1, 0, 1/2, 2
Suppose z + 12 = 4*l + 4*z, -2*z = -3*l + 26. Let y(q) = -7*q**2 - 9*q - 6. Let v(g) = 15*g**2 + 19*g + 13. Let h(s) = l*v(s) + 13*y(s). Factor h(u).
-u*(u + 3)
Let p(l) be the first derivative of l**6/57 + 4*l**5/95 - 3*l**4/38 - 16*l**3/57 - 4*l**2/19 - 619. Let p(s) = 0. Calculate s.
-2, -1, 0, 2
Let k(b) be the third derivative of b**8/112 - b**7/35 + b**5/10 - b**4/8 - 70*b**2 + 2. Factor k(q).
3*q*(q - 1)**3*(q + 1)
Let q(r) = r - 4. Let g be q(8). Suppose 7 = 4*v - 0*c - c, -g*v = -2*c - 2. Factor -6*a + a + 5*a + a**v.
a**3
Let t = -18 + 32. Let s = 18 - t. What is l in -27*l**3 + 4 + 4*l**s + 3*l - 8*l**2 + l + 0*l**5 + 19*l**3 + 4*l**5 = 0?
-1, 1
Let n(q) = -17*q**2 + 220*q - 2926. Let u(o) = 9*o**2 - 108*o + 1464. Let c(h) = 6*n(h) + 11*u(h). Find x such that c(x) = 0.
22
Let g(b) be the second derivative of -11/2*b**5 + 0*b**2 + 5/6*b**6 + 115/12*b**4 - 5*b**3 - 24*b + 0. Factor g(w).
5*w*(w - 3)*(w - 1)*(5*w - 2)
Let t be (39 - (-3)/(-1))/((-2)/(-9)). Let v = t - 804/5. Suppose 0 + v*u**2 - 3/5*u**3 + 0*u = 0. Calculate u.
0, 2
Suppose 2*y = 4*w + 10, 5*y + 21*w = 20*w + 25. Let p be 21/45 - (y - 26/5). Let p*u**2 + 4/3 + 2*u = 0. What is u?
-2, -1
Let j(z) = -z**4 + z**2 - z - 1. Let l(r) = 2*r**4 - 5*r**3 - 43*r**2 - 75*r - 39. Let u(x) = 3*j(x) + 3*l(x). Factor u(s).
3*(s - 10)*(s + 1)*(s + 2)**2
Let n(r) be the second derivative of -r**6/10 + 9*r**5 - 253*r**4 + 1680*r**3 - 4704*r**2 - 363*r. Let n(x) = 0. What is x?
2, 28
Let b(n) be the third derivative of n**5/15 + 7*n**4/24 + 4*n**3/3 - 3*n**2. Let t(g) = -g**2 - g - 1. Let d(k) = 2*b(k) + 10*t(k). Factor d(s).
-2*(s - 3)*(s + 1)
Let s = 7154 + -35764/5. Factor 4/5*l**3 - 8/5*l**2 + 2/5*l**4 + s - 4/5*l.
2*(l - 1)**2*(l + 1)*(l + 3)/5
Let i(u) = -u**3 + 4*u**4 + 1 + 0 + u**2 - 3*u**4. Let a = 228 - 240. Let n(j) = 3*j**4 - 8*j**3 - j**2 - 2*j + 4. Let h(c) = a*i(c) + 3*n(c). Factor h(g).
-3*g*(g + 1)**2*(g + 2)
Let k(z) = -253*z - 5817. Let p be k(-23). Factor -3/2*u**p + 1/2*u**3 - 1 - 5/2*u + 1/2*u**4.
(u - 2)*(u + 1)**3/2
Let i(o) be the first derivative of -o**4/48 - o**3/24 + 11*o + 1. Let c(n) be the first derivative of i(n). Suppose c(p) = 0. Calculate p.
-1, 0
Let q = 8084/3045 - -88/435. Factor -150/7 - 2/21*h**2 - q*h.
-2*(h + 15)**2/21
Let m(h) be the first derivative of -5*h**3/3 - 165*h**2 - 302. Suppose m(q) = 0. What is q?
-66, 0
What is i in -3*i**3 + 1125 - 1275*i - 2*i**3 - 22017*i**2 + 22172*i**2 = 0?
1, 15
Let t be 22 - (-5*(-4)/10 - -1). Factor 3*n + 2*n + 23*n**2 - 10 - 32*n**2 + t*n**2 - 5*n**3.
-5*(n - 2)*(n - 1)*(n + 1)
Let x(a) be the second derivative of -a**5/50 - 3*a**4/10 - 14*a**3/15 - 22*a - 1. Factor x(d).
-2*d*(d + 2)*(d + 7)/5
Let g be (1 + -3)/((-14)/35). Let f be (8/10)/(2/g). What is j in -j + j**2 + 4*j**2 + j**2 - 2 - 5*j**f = 0?
-1, 2
Let d = -19 - -20. Let w be (4 - (-1 - -7))/(d/(-2)). Let -2/3 - 8/3*k**3 - 8/3*k - 4*k**2 - 2/3*k**w = 0. What is k?
-1
Let r = 800 - 797. Solve 2/5*z**2 + 2/5*z**r + 0 - 2/5*z - 2/5*z**4 = 0.
-1, 0, 1
Let g(j) be the third derivative of 0 - 1/40*j**6 - 1/5*j**5 + 0*j**3 - 4*j**2 + 0*j + 5/8*j**4. Factor g(h).
-3*h*(h - 1)*(h + 5)
Factor -2*r**2 + 54/5*r - 4.
-2*(r - 5)*(5*r - 2)/5
Let n(m) be the second derivative of 7*m**6/360 + 2*m**5/15 + m**4/6 + 2*m**3 - 10*m. Let s(g) be the second derivative of n(g). Factor s(j).
(j + 2)*(7*j + 2)
Factor -160/13 - 48/13*g - 2/13*g**2.
-2*(g + 4)*(g + 20)/13
Factor 19/3 + 1/6*v - 1/6*v**3 - 19/3*v**2.
-(v - 1)*(v + 1)*(v + 38)/6
Let j = -2/497 - -3986/2485. Let s = -159 - -803/5. Determine i, given that s*i - j - 2/5*i**2 = 0.
2
Let l = -461 + 463. Let s(c) be the first derivative of 2 + 0*c**l + 0*c + 4/5*c**5 - 2*c**4 + 4/3*c**3. Factor s(u).
4*u**2*(u - 1)**2
Let v(p) be the second derivative of 3/65*p**5 + 10/39*p**3 - 2/13*p**4 - 8*p - 1/195*p**6 - 3/13*p**2 + 0. Factor v(y).
-2*(y - 3)*(y - 1)**3/13
Factor 2/9*i**4 + 8/3*i**2 + 0 + 16/9*i + 4/3*i**3.
2*i*(i + 2)**3/9
Let g(o) be the third derivative of o**8/5040 - o**7/840 + o**6/360 - o**5/10 + 3*o**2. Let n(f) be the third derivative of g(f). Factor n(h).
2*(h - 1)*(2*h - 1)
Factor -1/3*y**2 - 1/9*y**3 + 4/9*y + 0.
-y*(y - 1)*(y + 4)/9
Let i(h) be the third derivative of h**6/120 - h**5/20 - h**4/24 + h**3/2 - h**2 - 5*h. Factor i(f).
(f - 3)*(f - 1)*(f + 1)
Let s(m) be the second derivative of -m**4/30 + 6*m**3/5 - 56*m**2/5 - 116*m. Factor s(h).
-2*(h - 14)*(h - 4)/5
Let v(k) be the first derivative of -1/12*k**2 - 1/120*k**5 + 5*k - 6 + 1/36*k**3 + 1/72*k**4. Let d(o) be the first derivative of v(o). Factor d(m).
-(m - 1)**2*(m + 1)/6
Suppose -30/11*a + 68/11 - 2/11*a**2 = 0. What is a?
-17, 2
Let b(x) be the second derivative of 4*x + 1/45*x**6 + 0 + 0*x**2 + 16/9*x**3 + 4/3*x**4 + 3/10*x**5. Factor b(s).
2*s*(s + 1)*(s + 4)**2/3
Suppose -o - 4*o = 0. Let v(g) be the first derivative of -4 + 0*g**2 - 8/3*g**3 + 0*g**4 + o*g + 2/5*g**5. What is j in v(j) = 0?
-2, 0, 2
Let w = 257 - 253. Let d(a) be the second derivative of 1/24*a**w + 1/24*a**3 - 1/60*a**6 + 0*a**2 + 0*a**5 + 0 + 3*a - 1/168*a**7. Solve d(y) = 0 for y.
-1, 0, 1
Let z be -16 - (0 - 2)*-2. Let r = -18 - z. Factor -4*l**5 + l**4 + l**4 + 10*l - 6*l**4 + 20*l**2 - r*l + 12*l**3.
-4*l*(l - 2)*(l + 1)**3
Suppose 2*r = -0*r. Factor 25*p**2 - 24*p**2 + r*p - 2*p.
p*(p - 2)
Let o = -4 + 9. Let b(q) be the first derivative of -1/5*q**2 - o + 2/5*q + 1/10*q**4 - 2/15*q**3. Factor b(m).
2*(m - 1)**2*(m + 1)/5
Let a be -5 + 1 - (-136)/4. Let i be 8/7*35/a. Suppose i*s - 4/3 + s**2 = 0. What is s?
-2, 2/3
Let p = 10 + -10. Suppose p = 4*r + 5*w - 17, 5*r + 5*w - 11 = 3*r. Factor 2*n**4 - 2*n**2 + 3*n**2 - 6*n**r + 0*n**2 + 3*n**2.
2*n**2*(n - 2)*(n - 1)
Let x(c) be the first derivative of -c**6/24 - c**5/10 + 3*c**4/16 + 2*c**3/3 + c**2/2 + 3. Determine o so that x(o) = 0.
-2, -1, 0, 2
Suppose 2*m - 4*m = 0. Suppose w = 2*p + 12, -211 + 220 = 2*w - p. Let 9/2*g**w + 3*g + 3/2*g**3 + m = 0. Calculate g.
-2, -1, 0
Let p(r) be the third derivative of -1/54*r**3 - 9*r**2 + 0*r**4 + 0 + 0*r + 1/540*r**5. Let p(g) = 0. Calculate g.
-1, 1
Let j(y) be the third derivative of 5*y**8/48 + 11*y**7/14 + 23*y**6/12 + y**5 - 5*y**4/3 - 252*y**2. Find k, given that j(k) = 0.
-2, -1