 second derivative of h**9/27720 + 3*h**8/12320 + h**7/2310 + h**4/6 - 21*h. Let l(k) be the third derivative of u(k). Factor l(c).
6*c**2*(c + 1)*(c + 2)/11
Let l(o) be the second derivative of -3/2*o**2 - 5*o - 3/4*o**4 + 3/20*o**5 + 0 + 3/2*o**3. Factor l(k).
3*(k - 1)**3
Let n be 71/5 - 2/10. Suppose 3*p - f - n = 0, 6 = 3*p + p + 5*f. Suppose -7/4*i**3 + 0 + 0*i + 1/2*i**p - 1/2*i**2 + 7/4*i**5 = 0. What is i?
-1, -2/7, 0, 1
Let j(u) be the first derivative of -u**6/105 + u**4/42 + 18*u - 12. Let r(s) be the first derivative of j(s). Factor r(w).
-2*w**2*(w - 1)*(w + 1)/7
Let j(i) be the third derivative of -i**5/12 - 23*i**4/24 + 5*i**3/3 + 6*i**2 - 9. Let j(w) = 0. What is w?
-5, 2/5
Let v(i) = 7*i**2 + 1. Let z be v(-1). Solve 1 + z*m - 4 - 2*m**2 - 1 - 2*m = 0.
1, 2
Let q(z) be the second derivative of -17*z + 1/6*z**4 + 0 - 1/6*z**3 - 1/20*z**5 + 0*z**2. Solve q(c) = 0.
0, 1
Let i(y) be the first derivative of -33/14*y**2 - 121/7*y**3 - 1/7*y - 3 - 1331/28*y**4. Find j such that i(j) = 0.
-1/11
Suppose 2*r = -d + 7, d + 3*d - 16 = -5*r. Let k(x) = -x**2 + 6*x - 8. Let z be k(r). Factor 0 + z - 3*h**2 - h - 5*h.
-3*h*(h + 2)
Suppose 30*z - 45*z = -75. Let g(a) be the third derivative of 1/36*a**4 + 1/36*a**3 + 0 + 0*a + 1/72*a**z + 10*a**2 + 1/360*a**6. Factor g(i).
(i + 1)**2*(2*i + 1)/6
Let a(v) be the first derivative of 6*v - 1/90*v**5 - 1/54*v**4 + 2/27*v**3 + 0*v**2 - 2. Let h(t) be the first derivative of a(t). Factor h(w).
-2*w*(w - 1)*(w + 2)/9
Let p(n) be the first derivative of -1/14*n**4 - 1 + 1/7*n**2 - 4/21*n**3 + 3/7*n + 1/35*n**5. What is a in p(a) = 0?
-1, 1, 3
Factor 23*h + 5*h**2 - 40*h - 40 + 7*h.
5*(h - 4)*(h + 2)
Suppose -4*i - 5*w + 12 = -6*i, i + 3*w - 5 = 0. Let p(s) = 3*s**2 - 15*s - 18. Let a(v) = v**2 - 1. Let k(b) = i*p(b) - 2*a(b). Factor k(d).
-5*(d - 4)*(d + 1)
Let a(m) = m**5 + m**3 - m**2 + m. Let x(b) = 10*b**5 + 4*b**4 + 24*b**3 - 20*b**2 - 14*b - 12. Let s(r) = -12*a(r) + x(r). Factor s(i).
-2*(i - 3)*(i - 2)*(i + 1)**3
Let i(p) be the third derivative of -p**6/120 - 2*p**5/15 - p**4/6 + 7*p**3/2 + 7*p**2 - p. Let r be i(-7). Factor -1/2*f**4 + f**2 + r*f**3 + 0*f - 1/2.
-(f - 1)**2*(f + 1)**2/2
Suppose -48 = -6*a - 6*a. Factor -2*w**3 - 23 + w**a + 23 + 4*w**2 - 3*w**4.
-2*w**2*(w - 1)*(w + 2)
Let b(c) = -2*c**5 - 5*c**4 + 4*c**3 - 3. Let f(h) = h**5 + 5*h**4 - 5*h**3 + h**2 + 2. Let r(t) = 2*b(t) + 3*f(t). Factor r(l).
-l**2*(l - 3)*(l - 1)**2
Let j(s) be the third derivative of 361*s**7/70 + 1121*s**6/20 + 3709*s**5/20 + 177*s**4/2 + 18*s**3 + 17*s**2 + 5*s. Let j(c) = 0. What is c?
-3, -2/19
Let p(u) be the third derivative of 0 - 12*u**2 + 0*u + 1/6*u**4 - 2/105*u**7 - 1/30*u**6 + 1/15*u**5 + 0*u**3. Suppose p(o) = 0. What is o?
-1, 0, 1
Let 96 + 9*z**3 - 7*z**3 - 2*z**4 - 2*z + 14*z**2 - 108 = 0. What is z?
-2, -1, 1, 3
Let f(q) = -7*q**3 - 5*q**2 - 6*q - 18. Let a(p) = -6*p**3 - 4*p**2 - 5*p - 15. Let s(r) = 6*a(r) - 5*f(r). Factor s(t).
-t**2*(t - 1)
Let x(q) be the second derivative of q**6/30 + 9*q**5/2 + 2113*q**4/12 + 660*q**3 + 968*q**2 + 130*q. Factor x(r).
(r + 1)**2*(r + 44)**2
Let r = 80 - 65. Factor -21*s**2 + 12*s**2 + r*s**3 + 10*s + 9*s**2 + 25*s**2.
5*s*(s + 1)*(3*s + 2)
Factor 0 + 2*r**2 - 1/4*r**3 + 9/4*r.
-r*(r - 9)*(r + 1)/4
Let m be 61/12 - (-10)/(-2). Let x(l) be the second derivative of -m*l**2 + 0*l**5 + 0*l**3 + 0 - 1/180*l**6 + 3*l + 1/36*l**4. Factor x(t).
-(t - 1)**2*(t + 1)**2/6
Suppose -4*i + x = 23, -11 = 2*i + 2*x - 3*x. Let k be 45/(-6)*4/i. Factor 3/2*q**4 + 3/4*q**3 + 0*q + 0 + 0*q**2 + 3/4*q**k.
3*q**3*(q + 1)**2/4
Let q(k) be the first derivative of 3/20*k**5 - 16 + 1/16*k**6 - 9/32*k**4 + 0*k - k**3 - 3/4*k**2. Find u, given that q(u) = 0.
-2, -1, 0, 2
Let 0*r - 2/9*r**5 - 20/9*r**2 - 34/9*r**3 + 0 - 16/9*r**4 = 0. What is r?
-5, -2, -1, 0
Let f(g) be the first derivative of 3*g**4/20 + g**3/5 - 63*g**2/10 - 27*g + 175. Let f(o) = 0. What is o?
-3, 5
Let a(b) be the first derivative of -2/9*b**3 + 12 - 1/3*b**2 + 0*b. Let a(z) = 0. What is z?
-1, 0
Let r(d) = 187*d - 746. Let q be r(4). Find p such that -3/2*p**q + 0 + 3/2*p = 0.
0, 1
Let t be 19/((-44)/56 + 10/35). Let a = 40 + t. Factor 3*x - 3 - 3/4*x**a.
-3*(x - 2)**2/4
Let h(l) = -l**3 + 6*l**2 - 2*l - 2. Let n be h(2). Suppose -2*u + 9 = 3. Find k such that -k**4 + 19*k**3 + n*k**4 - 6*k + u*k - 4*k**3 + 3*k**2 = 0.
-1, 0, 1/3
Let b be (-4)/22 - 2265/(-55). Determine n so that -3*n**2 + 21*n + 22*n + 2*n**2 - 1 - b*n = 0.
1
Let q be (-704)/40 + 8 + 10. Let r(v) be the first derivative of -1/4*v**4 - q*v**2 + 4/5*v**3 + 0*v - 7. Factor r(n).
-n*(n - 2)*(5*n - 2)/5
Let c(r) be the second derivative of -r**4/84 + 23*r**3/21 + 47*r**2/14 - r - 2. Factor c(z).
-(z - 47)*(z + 1)/7
Let g = -26237/12 - -6560/3. Factor 1/4*r**2 + 0 + 1/4*r**5 + 1/2*r - 3/4*r**3 - g*r**4.
r*(r - 2)*(r - 1)*(r + 1)**2/4
Let p be 3/(7*(-2)/(-14)). Let a(c) be the first derivative of 0*c**p + 5 + 1/14*c**4 + 0*c + 0*c**2 + 2/35*c**5. Solve a(u) = 0.
-1, 0
Let k(r) be the first derivative of r**8/420 + r**7/105 + 10*r**3/3 + 13. Let u(i) be the third derivative of k(i). What is l in u(l) = 0?
-2, 0
Solve -204/7 + 36/7*l**3 + 396/7*l + 3/7*l**4 - 33*l**2 = 0 for l.
-17, 1, 2
Let x(i) be the first derivative of -3*i**5/20 + i**4/2 + i**3/2 - 3*i**2 - 3*i + 4. Let p(t) be the first derivative of x(t). Factor p(z).
-3*(z - 2)*(z - 1)*(z + 1)
Suppose -266*z + 27 = -257*z. Let w(f) be the first derivative of 1 + 4*f - 2/3*f**z + f**2. Solve w(v) = 0 for v.
-1, 2
Let u(h) = -26*h**5 - 50*h**4 - 64*h**3 - 62*h**2 - 2*h. Let x(p) = 8*p**5 + 16*p**4 + 21*p**3 + 20*p**2 + p. Let k(m) = -3*u(m) - 10*x(m). Factor k(v).
-2*v*(v + 1)**3*(v + 2)
Let l be (-140)/16 + 3/4. Let k be l/14*(-35)/10. Factor 0*o - 2*o + 3*o**2 + 10*o - k*o.
3*o*(o + 2)
Let y = -948 + 951. Let s(f) be the third derivative of 0 + 0*f + 7*f**2 - 7/270*f**5 - 4/27*f**y + 4/27*f**4. Factor s(z).
-2*(z - 2)*(7*z - 2)/9
Find k such that 0 + 0*k - 162/11*k**2 - 2/11*k**4 + 36/11*k**3 = 0.
0, 9
Let r be (-6)/119*(-238)/102. Factor 2/17*w - 4/17*w**2 - r*w**3 + 4/17.
-2*(w - 1)*(w + 1)*(w + 2)/17
Let z(k) = -2*k**3 + 13*k**2 + 6*k + 17. Let q be z(7). Factor -4*d + 4*d**2 - 11*d - q - 9*d**2.
-5*(d + 1)*(d + 2)
Let d = -6844 + 61598/9. Determine u so that d*u + 4/9*u**2 - 2/9*u**3 - 4/9 = 0.
-1, 1, 2
Let g(o) be the third derivative of o**7/315 - o**6/60 + o**5/30 - o**4/36 + o**2 - 82. Factor g(r).
2*r*(r - 1)**3/3
Let x be (-10)/(((-4)/(-15))/((-2)/3)). Factor -12*y**2 + 4*y**3 - 26 - x*y + 6 - 11*y.
4*(y - 5)*(y + 1)**2
Let c(t) be the second derivative of -3*t**5/80 + 9*t**4/16 + t**3/8 - 27*t**2/8 - 39*t + 1. Determine l, given that c(l) = 0.
-1, 1, 9
Let i(z) be the second derivative of z**4/12 + 3*z**3/2 + 4*z**2 + 38*z + 2. Determine k, given that i(k) = 0.
-8, -1
Let z = -318 + 321. Let j(o) be the first derivative of -5 + 9*o + 1/3*o**z + 3*o**2. Factor j(k).
(k + 3)**2
Let g be 5/(15/6) + 2 + 1. Suppose 8 = 9*p - g*p. What is i in -1/2*i**p - 1 + 3/2*i = 0?
1, 2
Factor 8/3*a - 2/3*a**3 + 0 + 0*a**2.
-2*a*(a - 2)*(a + 2)/3
Let i be (-18)/27*(4 - 9). Let 2/3*u**2 + i*u + 8/3 = 0. What is u?
-4, -1
Suppose 4*h - 14 = 2. Suppose -4*l + 2 = -4*n - 2, -h*n = 3*l - 10. Factor 2*v**3 + 54 + 7*v - v**3 - 57 - 5*v**l.
(v - 3)*(v - 1)**2
Let b(t) be the second derivative of t + 5/24*t**3 + 9/40*t**5 + 0 + 0*t**2 - 1/15*t**6 + 1/168*t**7 - 1/3*t**4. Factor b(o).
o*(o - 5)*(o - 1)**3/4
Let m(t) = -3*t**2 + 12*t - 9. Let i be (-39)/26*(-4)/2. Let b(a) = -3*a**2 + 11*a - 8. Let z(j) = i*b(j) - 4*m(j). Factor z(w).
3*(w - 4)*(w - 1)
Let i(a) be the third derivative of a**6/1080 + a**5/120 - a**4/18 - 6*a**3 - 19*a**2. Let z(k) be the first derivative of i(k). Factor z(h).
(h - 1)*(h + 4)/3
Let b(o) be the third derivative of 0*o + 2/13*o**3 + 0 - 28*o**2 - 1/156*o**4 - 1/390*o**5. Factor b(x).
-2*(x - 2)*(x + 3)/13
Suppose 0 = -4*k - 5*o + 15 + 21, -k + 16 = 3*o. Let l(h) be the second derivative of 1/4*h**k - 1/2*h**3 + 0 + 0*h**2 - 2*h. Factor l(m).
3*m*(m - 1)
Let 216/5*g - 21/5*g**4 - 39/5*g**2 + 12 - 216/5*g**3 = 0. What is g?
-10, -1, -2/7, 1
Let o(l) be the first derivative of -2*l**5/5 - 3*l**4 + 70*l**3/3 - 48*l**2 + 40*l + 254. Factor o(u).
-2*(u - 2)*(u - 1)**2*(u + 1