6 + 106*a**2 - 24*a. Let p(h) be the first derivative of k(h). Factor p(j).
2*j**2*(j - 5)*(j - 1)*(j + 1)
Let v = 23393 + -23390. Let i(k) be the second derivative of 1/6*k**4 + 2*k**2 - 2*k + 0 - k**v. Factor i(o).
2*(o - 2)*(o - 1)
Let t(w) = -10*w + 44. Let h be t(4). Factor 16*a - 11*a - 8 + 12*a**3 + 4*a**2 + 4*a**h - 17*a.
4*(a - 1)*(a + 1)**2*(a + 2)
Suppose 2*a - 30 = -3*x, -5*a + 4*x = -628 + 645. Factor -4332/7*s - 54872/7 - 1/7*s**a - 114/7*s**2.
-(s + 38)**3/7
Let i(s) be the second derivative of -s**6/1260 - s**5/60 - 2*s**3/3 - 15*s**2/2 - 2*s + 64. Let n(p) be the second derivative of i(p). Factor n(h).
-2*h*(h + 7)/7
Let s be (1 - 2)*3 - (-250 - -3). Suppose -s*d + 245*d = 2. Factor -1/7*q**d + 0 + 4/7*q.
-q*(q - 4)/7
Let q = -6 + 9. Factor 22*a**2 - 5*a**2 - 18*a**2 + a**q.
a**2*(a - 1)
Let l(c) = -2*c**2 + 2*c + 12. Let d(z) = 3 + 11 - 13. Let r(u) = -8*d(u) + l(u). Factor r(t).
-2*(t - 2)*(t + 1)
Suppose -z + 162 = -246. Let h be 4 + z/(-105) - (-8)/28. Factor 0*b + h*b**4 + 0 + 6/5*b**3 + 4/5*b**2.
2*b**2*(b + 1)*(b + 2)/5
Let a(d) be the first derivative of 0*d**2 + 0*d - 1/120*d**6 + 44/3*d**3 + 14 - 1/4*d**4 - 3/40*d**5. Let p(s) be the third derivative of a(s). Factor p(t).
-3*(t + 1)*(t + 2)
Let h = -14/2259 + 9106/11295. Suppose 14/5*d**4 - 18/5*d**3 - 2*d**2 + 18/5*d - h = 0. What is d?
-1, 2/7, 1
Let w(t) be the third derivative of 0*t - 25/9*t**3 + 171*t**2 - 5/9*t**4 - 1/720*t**6 + 19/360*t**5 + 0. Find k such that w(k) = 0.
-1, 10
Let m(k) be the first derivative of -k**3/9 + 274*k**2/3 - 75076*k/3 - 2174. Suppose m(f) = 0. Calculate f.
274
Let j(t) be the first derivative of 37 - 4/5*t**5 - 576*t - 2*t**4 + 92/3*t**3 + 48*t**2. Factor j(u).
-4*(u - 3)**2*(u + 4)**2
Let i(s) be the third derivative of s**5/180 + s**4/6 + s**2 + 7. Factor i(k).
k*(k + 12)/3
Let v = -45 + 57. Suppose 4*w - v = -4*d, 3*d - d - w = 6. Factor i**3 - 7*i + 6*i**2 + 2 + 0*i + i - 3*i**d.
-2*(i - 1)**3
Find t such that -120*t + 60*t**3 - 3392 - 64*t**3 + 132*t**2 + 3136 = 0.
-1, 2, 32
Let t be (-2 - (-16)/(-4)) + 2*2. Let l be 10/t - ((-3 - 2) + -5). Solve l + 1/2*h**2 - 7/2*h = 0 for h.
2, 5
Suppose -3*q + 32 = 8. Suppose 0 = q*a - 3*a - f - 15, -2*f = 0. Suppose -1 - j**4 - 2*j + 4 - 3 + a*j**2 = 0. Calculate j.
-2, 0, 1
Let x(m) = 11*m**3 + 77*m**2 - 177*m + 79. Let c(p) = p**3 - 2*p. Let w(s) = -30*c(s) + 3*x(s). Factor w(u).
3*(u - 1)**2*(u + 79)
Let y = 942001/45 - 20933. Let r(z) be the second derivative of 1/30*z**4 + 0 + 25*z - y*z**6 + 2/5*z**3 - 44/75*z**5 + 0*z**2. Let r(a) = 0. What is a?
-3/4, 0, 2/5
Let i = 5470/17871 - 52/2553. Let -i*y**3 + 2/7*y - 8/7*y**2 + 8/7 = 0. What is y?
-4, -1, 1
Let w be ((-12)/(-48)*-2)/((-3)/30) - 3. Factor 1/4*g**3 + 1/4*g**w + 0 - 1/2*g.
g*(g - 1)*(g + 2)/4
Let t(x) = -x**2 - 7*x + 983. Let u be t(28). Let z(m) be the first derivative of -6/5*m**u - 1/5*m**2 - 8 + 0*m - 4/5*m**4. Let z(s) = 0. Calculate s.
-1, -1/8, 0
Let u = 25666 + -25664. What is n in 5/3 - 5/3*n**u - 8*n = 0?
-5, 1/5
Let g be 18/(-39) + ((-189744)/(-14807) - 12). Suppose 8/17*n**2 - 48/17 + 46/17*n - g*n**3 = 0. What is n?
-8/3, 1, 3
Let c(o) be the first derivative of 640*o + 30*o**3 - 224 - 400*o**2 + 65/4*o**4 + o**5. Solve c(j) = 0.
-8, 1, 2
Let y(w) = w**3 + 22*w**2 + 655*w + 14410. Let u be y(-22). Determine g so that 0*g + 0 + u*g**2 - 2/7*g**3 = 0.
0
Let f(d) be the first derivative of d**5/210 + 3*d**4/28 + 6*d**3/7 + 5*d**2 + 5*d - 55. Let y(q) be the second derivative of f(q). Let y(r) = 0. Calculate r.
-6, -3
Let r(h) be the second derivative of h**9/15120 - h**7/1260 + h**5/120 - 91*h**4/12 - 87*h. Let p(g) be the third derivative of r(g). Factor p(c).
(c - 1)**2*(c + 1)**2
Let c = 7829/183 + -2569/61. Factor -c - 50/3*a**2 + 20/3*a.
-2*(5*a - 1)**2/3
Let g(b) be the first derivative of 3*b**5/20 + 399*b**4/8 + 17953*b**3/4 + 13167*b**2 + 13068*b + 9174. Factor g(h).
3*(h + 1)**2*(h + 132)**2/4
Suppose -g**2 - 21*g - 171 + 10*g + 86 - 11*g = 0. What is g?
-17, -5
Let c(w) be the second derivative of w**6/180 - 11*w**4/72 - w**3/2 - 2*w**2/3 - 314*w. Determine g so that c(g) = 0.
-2, -1, 4
Let y be (-2)/15 + (-1724)/(-330) + -4. Let p be (-25 + 21)*1/(-2). Factor y*u - 18/11 + 6/11*u**p.
6*(u - 1)*(u + 3)/11
Factor 465/7*f**2 - 56169/7 + 17301/7*f + 3/7*f**3.
3*(f - 3)*(f + 79)**2/7
Suppose -735*b - 20 = -737*b. Suppose -8 = -9*v + b. Suppose 8*j - 4*j**v + 2/3*j**3 - 16/3 = 0. What is j?
2
Suppose 5*m - 5 = -4*h + 27, h - 23 = -5*m. Solve 117*t - t**h + 24*t**2 - 373 - t**3 + 3*t**3 + 35 = 0 for t.
-13, 2
Let y(v) be the first derivative of -21*v - 4*v**6 - 411/4*v**4 + 222/5*v**5 - 131 + 3/2*v**2 + 77*v**3. Let y(d) = 0. Calculate d.
-1/4, 1/2, 1, 7
Determine u, given that 18257*u**2 - 36453*u**2 + 825*u**4 + 1480*u + 19071*u**2 + 300 - 2315*u**3 - 45*u**5 = 0.
-1/3, 2, 15
Let x(m) be the second derivative of -m**4/78 + 71*m**3/39 - 70*m**2/13 + 43*m - 8. Factor x(u).
-2*(u - 70)*(u - 1)/13
Suppose -37 = -6*m + 107. Factor 24 + 16*v**2 - 8*v**4 + 67*v - m*v - 14*v - 24*v**3 + 4*v**5 + 23*v.
4*(v - 3)*(v - 2)*(v + 1)**3
Let m(p) be the third derivative of 0 - 1/60*p**4 - 24*p**2 + 1/300*p**6 + p - 1/50*p**5 + 2/15*p**3 + 1/525*p**7. Factor m(v).
2*(v - 1)**2*(v + 1)*(v + 2)/5
Let i(q) be the second derivative of -1/80*q**5 - 25*q + 0 - 5/24*q**3 + 1/4*q**2 + 1/12*q**4. Let i(n) = 0. What is n?
1, 2
Let v = 6099 - 60987/10. Let d(h) be the second derivative of -9/4*h**2 - 3*h + 0 + 9/8*h**4 + 5/2*h**3 - v*h**5. Determine u, given that d(u) = 0.
-1, 1/4, 3
Let o(l) be the third derivative of l**5/15 - 9*l**4 - 114*l**3 + 207*l**2. Factor o(u).
4*(u - 57)*(u + 3)
Let i be 464/36 - (-24 + 36). Factor -2/3*m**3 + 0 + i*m + 2/9*m**4 + 0*m**2.
2*m*(m - 2)**2*(m + 1)/9
Factor 1/3*i**2 - 10*i - 175/3.
(i - 35)*(i + 5)/3
Let u be 4/((-60)/(-2151)) + 0/8. Let a = -143 + u. Solve 1/5*t**5 - 1/5 + 2/5*t**2 - a*t**3 + 1/5*t - 1/5*t**4 = 0 for t.
-1, 1
Let m = -72 - -74. Let s(w) = 15*w**3 - 147*w**2 - 213*w - 53. Let k(n) = -405*n**3 + 3970*n**2 + 5750*n + 1430. Let j(v) = m*k(v) + 55*s(v). Factor j(u).
5*(u - 11)*(u + 1)*(3*u + 1)
Let b(l) be the third derivative of 1/108*l**4 + 67*l**2 + 1/270*l**5 + 0 + 0*l - 2/9*l**3. Let b(t) = 0. What is t?
-3, 2
Let z = 58 - 113/2. Let y = -388 + 785/2. Suppose z*v**2 + y + 6*v = 0. Calculate v.
-3, -1
Factor -39/2*b**2 - 75/2*b + 6875/2 - 1/2*b**3.
-(b - 11)*(b + 25)**2/2
Let d(o) = o**3 - 9*o**2 - 5*o - 13. Let s be d(10). Let r = s + -34. Factor 2*v**2 + r*v**3 - 3*v**4 + 2*v**4 + 0*v**3 - 2*v**3.
-v**2*(v - 2)*(v + 1)
Let s = -108/6695 + 6911/13390. Suppose -29791/2 - s*u**3 - 93/2*u**2 - 2883/2*u = 0. What is u?
-31
Let u(v) = -445*v**3 - 3*v**2 + 4*v + 4. Let s be u(-1). Let b = s - 883/2. Factor -b*a**4 + 1/2*a**3 - 1/2*a + 0 + 1/2*a**2.
-a*(a - 1)**2*(a + 1)/2
Factor -12*x**3 + 130*x**4 - 59*x**4 + 72*x**2 - 75*x**4.
-4*x**2*(x - 3)*(x + 6)
Let m(l) = -21*l - 121. Let s be m(-6). Factor -4*b**2 + 8*b**2 + 32*b**2 + b**3 - 6*b**2 - 14*b - s*b**3.
-2*b*(b - 7)*(2*b - 1)
Let s(c) be the first derivative of -c**4/18 + 20*c**3/27 - 16*c**2/9 - 2133. Factor s(k).
-2*k*(k - 8)*(k - 2)/9
Let f be (2535 + -2547)/(8*(-3 - -2)). What is w in -1 - f*w + 1/2*w**2 + 1/2*w**4 + 3/2*w**3 = 0?
-2, -1, 1
Let d(i) be the third derivative of -i**7/420 + 7*i**6/240 - i**5/15 - i**4/3 - 2*i**2 + 687. Factor d(r).
-r*(r - 4)**2*(r + 1)/2
Let b(k) = 9*k - 61. Let l be b(7). Factor 17*t + 0*t**3 + 12 - 45*t - 4*t**2 + l*t**3 + 18*t.
2*(t - 3)*(t - 1)*(t + 2)
Let q(y) = -y**2 + 72*y - 36. Let l be q(0). Let v be (26/6 + -4)*l/(-5). Factor -v*u - 2/5*u**2 - 16/5.
-2*(u + 2)*(u + 4)/5
Let t = -707252 - -707254. Factor 69/4*y**3 - 3 + 30*y + 201/4*y**t.
3*(y + 1)*(y + 2)*(23*y - 2)/4
Let p(g) be the first derivative of -4/15*g**5 + 21 + 0*g - 4/9*g**3 - 1/2*g**4 - 1/6*g**2 - 1/18*g**6. Find w such that p(w) = 0.
-1, 0
Let t(n) be the third derivative of n**5/40 + 47*n**4/16 - 49*n**3/2 - 2431*n**2 - 2*n. Suppose t(d) = 0. Calculate d.
-49, 2
Let p(j) be the second derivative of -j**7/42 - 8*j**6/15 + 2*j**5 + 35*j**4/6 - 13*j**3/2 - 27*j**2 + 127*j - 6. Find t such that p(t) = 0.
-18, -1, 1, 3
Let r = -276 - -287. Let c(o) be the third derivative of 1/25*o**5 + 0*o + 0 - r*o**2 + 8/15*o**3 + 13/