 u**7/5040 + u**5/5 - u**2. Let k(p) be the third derivative of n(p). Factor k(b).
-b*(b - 1)*(b + 1)*(b + 3)/3
Let c(g) = -g**3 + g**2 + 1. Let h(p) = 25*p**3 + 407*p**2 - 168*p - 5. Let z(a) = -5*c(a) - h(a). Factor z(i).
-4*i*(i + 21)*(5*i - 2)
Suppose 0*s + 119 = s. Let d = s + -117. Find l, given that -2/3 - 1/3*l**d + l = 0.
1, 2
Let p(l) be the third derivative of l**9/5040 - 3*l**8/11200 - l**7/2100 - l**4/2 + 2*l**2. Let s(z) be the second derivative of p(z). Factor s(m).
3*m**2*(m - 1)*(5*m + 2)/5
Let h(c) = -2*c**3 - c + 2. Let l(u) = -14*u**3 - 135*u**2 + 38*u - 6. Let a(s) = 3*h(s) + l(s). Factor a(k).
-5*k*(k + 7)*(4*k - 1)
Let d(x) = -12*x**2 + 5. Let j be d(4). Let t = j + 939/5. Determine g so that -4/5*g**4 + 2/5*g**3 + t*g**2 + 0 - 2/5*g**5 + 0*g = 0.
-2, -1, 0, 1
Suppose 129 - 27 = -2*r. Let x = 461/9 + r. What is k in 2/3*k**2 + 2/9*k - x*k**4 - 2/9*k**3 - 4/9 = 0?
-2, -1, 1
Let o = 337/50 + -56/25. Factor o*s + 3 + 3/2*s**2.
3*(s + 1)*(s + 2)/2
Let l be (-1 - 19/(-7)) + 22/77. Let r(p) be the second derivative of -1/24*p**3 + 5*p - 1/48*p**4 + 0*p**l + 0. Factor r(m).
-m*(m + 1)/4
Suppose -16*g - 29*g + 3*g + 6*g = 0. Suppose -8/3*k**4 - 2*k**3 + g*k**2 + 0 - 2/3*k**5 + 0*k = 0. Calculate k.
-3, -1, 0
Suppose -2*b + 0*b - 10 = 0, -4*g = b - 43. Suppose 0 = -4*d + d + g. Suppose 52*k**4 - 327*k**2 - 108*k - 127*k**d - 378*k**3 - 12 - 72*k**4 = 0. Calculate k.
-1, -2/7
Let z(s) be the second derivative of -s**8/5880 + 2*s**3 - 2*s. Let u(k) be the second derivative of z(k). Solve u(r) = 0.
0
Let a(p) be the second derivative of p**8/13440 - p**7/1120 + p**6/240 - p**5/120 - p**4/4 - 11*p. Let c(f) be the third derivative of a(f). Factor c(u).
(u - 2)**2*(2*u - 1)/4
Let j(p) be the third derivative of p**8/504 - p**7/63 + 7*p**6/180 + p**5/90 - 2*p**4/9 + 4*p**3/9 + p**2 - 112. Let j(a) = 0. Calculate a.
-1, 1, 2
Let a(v) be the third derivative of 0*v**3 + 0*v**5 + 0 - 11*v**2 + 0*v + 1/48*v**4 - 1/240*v**6. Find k such that a(k) = 0.
-1, 0, 1
Let s(o) be the first derivative of -2/7*o**2 + 10/21*o**3 - 20 - 3/14*o**4 - 2/35*o**5 + 1/21*o**6 + 0*o. Find p, given that s(p) = 0.
-2, 0, 1
Let u(a) = -a**3 + 2*a**2 + 3*a + 2. Let p be u(3). Factor 9*c - 9*c + 2*c**p + c**2.
3*c**2
Let k(i) = -24*i**4 - 60*i**3 + 212*i**2 - 168*i + 28. Let w(l) = -25*l**4 - 57*l**3 + 212*l**2 - 168*l + 29. Let z(x) = 3*k(x) - 4*w(x). What is r in z(r) = 0?
-4, 2/7, 1
Let s(v) be the first derivative of v**6/180 + v**5/30 - v**4/4 + 8*v**3/3 - 11. Let o(j) be the third derivative of s(j). Let o(h) = 0. What is h?
-3, 1
Let o(i) be the third derivative of -4/3*i**3 + 0 - 2*i**2 - 1/15*i**5 + 1/2*i**4 + 0*i. Factor o(b).
-4*(b - 2)*(b - 1)
Let m(s) be the third derivative of -5/8*s**4 + 1/12*s**5 + 5/3*s**3 + 0*s + 0 + s**2. Solve m(a) = 0 for a.
1, 2
Factor 0 + 22/5*k + 2/5*k**3 - 24/5*k**2.
2*k*(k - 11)*(k - 1)/5
Let a(d) = -20*d**3 + 52*d**2 + 12*d - 68. Let o = -40 + 32. Let b(t) = 13*t**3 - 35*t**2 - 8*t + 45. Let m(p) = o*b(p) - 5*a(p). Factor m(r).
-4*(r - 5)*(r - 1)*(r + 1)
Let f be (5/6)/((40/3)/8). Let n(i) be the first derivative of -3 + i**3 - 1/5*i**5 + 4*i + f*i**4 - 4*i**2. Determine q so that n(q) = 0.
-2, 1, 2
Solve -38/11*c**4 - 124/11*c**2 + 196/11*c**3 + 2/11*c**5 - 18*c + 162/11 = 0 for c.
-1, 1, 9
Let q = -8095 + 8097. Solve 15/2*i**q + 27*i - 12 = 0.
-4, 2/5
Let v(j) be the third derivative of 1/660*j**6 - 16*j**2 - 1/66*j**4 + 0*j + 0*j**3 - 1/330*j**5 + 0. What is p in v(p) = 0?
-1, 0, 2
Let i(v) = 34*v**4 - 18*v**3 - 54*v**2 - 26*v - 24. Let o(k) = -3*k**4 + k**2 - k + 1. Let r(c) = i(c) + 12*o(c). Determine h so that r(h) = 0.
-6, -1
Let l be ((-58)/(-116))/(5/10 - -2). Factor 1/5*h**2 - l + 0*h.
(h - 1)*(h + 1)/5
Let q be ((-152)/760)/(1/(-45)). Let j(p) be the second derivative of 1/30*p**4 + 0*p**3 + q*p - 1/5*p**2 + 0. Find b such that j(b) = 0.
-1, 1
Let x(d) be the third derivative of d**5/30 + 127*d**4/24 + 21*d**3/2 - 290*d**2. Determine z so that x(z) = 0.
-63, -1/2
Suppose 23*i = 14*i + 45. Factor -73/2*n**2 + 43/2*n**3 - 11/2*n**4 + 1/2*n**i - 8 + 28*n.
(n - 4)**2*(n - 1)**3/2
Let j(m) be the first derivative of 2*m**5/15 + 5*m**4/3 + 34*m**3/9 + 8*m**2/3 + 114. Factor j(b).
2*b*(b + 1)**2*(b + 8)/3
Let s be 756/84 + ((-69)/7 - -1). Suppose -4/7*k + s*k**3 - 8/7 - 1/7*k**4 + 6/7*k**2 = 0. What is k?
-2, -1, 2
Let i be (2587/195 + -13)*(-10)/(-4). Let q be (-48)/(-18) - (0 + 2). Find s, given that -i*s**2 + q*s + 4/3 = 0.
-1, 2
Let h(b) be the first derivative of -3*b**7/40 - b**6/60 + 3*b**5/8 - b**4/2 + 7*b**3 - 39. Let j(q) be the third derivative of h(q). Let j(p) = 0. Calculate p.
-1, 1/3, 4/7
Factor 4/3*q**4 - 4/3*q**2 + 0 + 2/3*q**5 + 0*q**3 - 2/3*q.
2*q*(q - 1)*(q + 1)**3/3
Factor -25*m - 961 + 2*m**2 + 25*m + 62*m - 5*m**2 + 2*m**2.
-(m - 31)**2
Let w(q) = q + 12. Let c be w(8). Factor 76*s**3 + c + 5*s - 25*s**2 + 15*s - 91*s**3.
-5*(s - 1)*(s + 2)*(3*s + 2)
Let p = 5464/15 - 2118/5. Let f = 60 + p. Let 0*h - 4/3*h**2 - f*h**3 + 0 = 0. What is h?
-2, 0
Suppose -96*g + 172*g**5 - 378*g**4 - 915*g**3 + 71*g**5 - 888*g**2 - 396*g**3 - 837*g**3 = 0. Calculate g.
-2, -2/9, 0, 4
Find s, given that 0 - 51/4*s - 3/4*s**2 = 0.
-17, 0
Let w(x) = x**3 + 3*x**2 - 3*x - 4. Let y be w(-3). Factor -y*v**2 + 31*v + 54*v - 720 + 35*v.
-5*(v - 12)**2
Let f(p) = p**5 - 11*p**4 + 7*p**3 + 7*p**2 - 24*p - 1. Let o(s) = s**5 - 10*s**4 + 6*s**3 + 8*s**2 - 23*s. Let l(w) = 6*f(w) - 7*o(w). Factor l(j).
-(j - 3)*(j - 1)**3*(j + 2)
Suppose 3*n + 2*c = 3*c + 15, n + 2 = -2*c. Factor -10*f**3 + 0 + 5 - 167*f**n + 10*f + 162*f**4 + 0.
-5*(f - 1)*(f + 1)**3
Let u(i) be the third derivative of 19*i**2 + 0*i - 1/840*i**7 + 2 + 1/240*i**5 - 1/240*i**6 + 1/48*i**4 + 0*i**3. Find v such that u(v) = 0.
-2, -1, 0, 1
Let y(c) = -9*c**2 - 24*c - 19. Suppose -3*f + 6*f - 12 = 0. Let g(z) = 125*z**2 + 335*z + 265. Let t(d) = f*g(d) + 55*y(d). Find j such that t(j) = 0.
-3, -1
Let d(y) be the first derivative of 2*y**3/21 + 44*y**2/7 + 968*y/7 - 95. Factor d(f).
2*(f + 22)**2/7
Let p be (19/(931/(-28)))/(5/((-105)/66)). Factor -p*l**4 + 2/11*l**3 + 8/11 + 18/11*l**2 + 2*l.
-2*(l - 4)*(l + 1)**3/11
Determine u, given that -305*u - 14*u**2 + 2*u**2 + 380*u - 18 = 0.
1/4, 6
Let m(f) = -6*f**5 + 11*f**4 - 5*f**3 + 5. Let b(t) = -21*t**5 + 39*t**4 - 18*t**3 + 18. Let v = -10 - 8. Let h(r) = v*m(r) + 5*b(r). Find x such that h(x) = 0.
0, 1
Factor -7*h**3 - 18 - 12 + 10 - 3*h**2 - h**4 + 31*h.
-(h - 1)**2*(h + 4)*(h + 5)
Find c such that -63/5 + 2/5*c + 1/5*c**2 = 0.
-9, 7
Suppose 22 = 5*d + 4*r, 5*r - 5 = 4*d + 2. Let a**d + 0 + 0*a + 1/2*a**3 = 0. Calculate a.
-2, 0
Let f = 9697 + -67859/7. Determine o, given that -36/7*o**2 + f*o**4 - 12*o**3 + 0*o + 0 + 100/7*o**5 = 0.
-3/5, 0, 1
Let 3174*h**2 - 3176*h**2 + 2 + 4*h + 4 = 0. Calculate h.
-1, 3
Suppose 3*y - 5*i - 37 = 0, -5*y + 2*i + 12 + 18 = 0. Let 49/6*r**5 + 145/6*r**2 + 235/6*r**3 + 175/6*r**y + 20/3*r + 2/3 = 0. Calculate r.
-1, -2/7
Let a(b) = b**3 - 8*b - 3. Let h be a(6). Let v be h/75 - 2/10. Factor 2*p + 11*p**4 - 3*p**2 - v*p**4 - p**3 - 2 + 3*p - 8*p**4.
(p - 1)**3*(p + 2)
Let q(t) be the first derivative of t**3/6 - 11*t**2/4 - 131. Find z, given that q(z) = 0.
0, 11
Let v(t) be the second derivative of -7*t**4/30 + 5*t**3 + 22*t**2/5 - 2*t + 5. Suppose v(b) = 0. What is b?
-2/7, 11
Let s(d) be the second derivative of 2/3*d**4 + 0 - 16*d**2 + 8*d**3 - 41*d - 3/5*d**5. Find n, given that s(n) = 0.
-2, 2/3, 2
Let j(n) be the third derivative of 17*n**2 + 1/6*n**4 - 1/6*n**5 + 0*n + 0*n**3 + 0. Factor j(a).
-2*a*(5*a - 2)
Let r(v) be the third derivative of v**8/21840 - v**7/5460 - v**6/2340 - v**4/24 - 12*v**2. Let l(n) be the second derivative of r(n). Factor l(k).
2*k*(k - 2)*(2*k + 1)/13
Let o = -508 - -508. Let n(f) be the third derivative of o - 4*f**2 + 0*f**3 + 0*f**6 - 1/1365*f**7 + 1/390*f**5 + 0*f + 0*f**4. Find m, given that n(m) = 0.
-1, 0, 1
Suppose 5*q - 7 - 8 = 0. Factor x + 3*x**2 + x**q - x**2 - x.
x**2*(x + 2)
Suppose -2*s**4 + 2/3*s**5 + 0*s**3 + 0 + 0*s + 0*s**2 = 0. What is s?
0, 3
Let h(n) be the first derivative of -1/12*n**6 + 33 - 7/30*n**5 + 1/24*n**4 + 7/18*n**3 + 1/6*n**2 + 0*n. What is f in h(f) = 0?
-2, -1, -1/3, 0, 1
Let b(m) be the first derivative