Factor 4249 - 13*d - h*d - 2374 + 3*d**2.
3*(d - 25)**2
Let y(c) = 579*c**2 - 558*c - 21. Let t(l) = -289*l**2 + 279*l + 10. Let j = 31 - 22. Let o(b) = j*t(b) + 4*y(b). Find v such that o(v) = 0.
-2/95, 1
Let t(k) be the third derivative of -968*k**3 + 0 + 10*k**2 + 5*k + 11*k**4 - 1/20*k**5. Factor t(u).
-3*(u - 44)**2
Let x(d) be the first derivative of 3*d**4/4 + 106*d**3 + 309*d**2/2 - 630*d + 2021. Find g such that x(g) = 0.
-105, -2, 1
Let d(o) be the second derivative of o**8/3920 - o**7/196 - 101*o**3/6 + 52*o. Let f(h) be the second derivative of d(h). Factor f(t).
3*t**3*(t - 10)/7
Let l(s) be the first derivative of -27*s**6/2 + 54*s**5 + 63*s**4 - 40*s**3 - 48*s**2 + 4607. Find k, given that l(k) = 0.
-2/3, 0, 2/3, 4
Solve 489*c + 25781661*c**5 - 25781676*c**5 - 278*c**3 - 196*c**3 + 234 + 234*c**4 - 468*c**2 = 0.
-1, -2/5, 1, 3, 13
Suppose -3*b = -7*b + 4*i + 32, 0 = -2*b - 19*i - 89. Let v(w) be the first derivative of 3*w**3 - 2/5*w**5 - b*w - 2 + 3/4*w**4 + 1/2*w**2. Factor v(t).
-(t - 3)*(t + 1)**2*(2*t - 1)
Let x(m) be the second derivative of m**5/15 - 6*m**3 - 29*m**2/2 - 83*m. Let s(i) be the first derivative of x(i). What is k in s(k) = 0?
-3, 3
What is o in 2/3*o**2 - 40/3*o - 250/3 = 0?
-5, 25
Suppose -107*k - 25515 = 28*k. Let w be k/(-18) + (1 - -10). Factor 29/2*x**3 - 4 - w*x**2 + 1/2*x**5 + 15*x - 9/2*x**4.
(x - 4)*(x - 2)*(x - 1)**3/2
Let u be (-2)/(-4) + ((-23868)/24)/17. Let s = u - -61. Factor -49/3*g**s - 4/3 - 7*g**2 + 8*g.
-(g + 1)*(7*g - 2)**2/3
Let o be ((-306)/(-693))/(55/539). Let y = o + 1/165. Suppose -1 - 13/3*s - y*s**2 - s**3 = 0. Calculate s.
-3, -1, -1/3
Let r(d) = -2*d + 18. Let v be r(-24). Let w = v - 64. Solve -14*l + w*l - 11 - 4*l**2 - 10 + 13 = 0 for l.
-2, -1
Let v = -9/70865 - -204093/14173. Factor v + 2*h**2 - 2/5*h**3 + 64/5*h.
-2*(h - 9)*(h + 2)**2/5
Let v be -63*(-5)/(-135) - (-91)/21. Let 0 - 2/9*m**v + 2*m = 0. Calculate m.
0, 9
Let i(w) be the third derivative of 5 + 0*w**4 + 1/315*w**7 + 1/36*w**5 + 0*w - 13/720*w**6 + 7*w**2 + 0*w**3. Factor i(q).
q**2*(q - 2)*(4*q - 5)/6
Let g(t) be the second derivative of 0*t**2 + 0 - 1/35*t**5 + 1/105*t**6 - 4*t + 2/21*t**3 - 1/42*t**4. Factor g(r).
2*r*(r - 2)*(r - 1)*(r + 1)/7
Factor -1/5*r**2 - 93 - 158/5*r.
-(r + 3)*(r + 155)/5
Suppose 78*f = 62112 - 5328. Suppose 10*x = f - 708. Suppose 22/3*c**x - 16/3*c - 4/3*c**5 - 5/3 + 20/3*c**3 - 17/3*c**4 = 0. Calculate c.
-5, -1, -1/4, 1
Let p(s) = s - 1. Let g(q) be the third derivative of q**7/210 - q**6/40 + q**5/30 - 7*q**4/24 + 7*q**3/6 - 9*q**2. Let t(y) = 5*g(y) + 35*p(y). Factor t(u).
5*u**2*(u - 2)*(u - 1)
Let w(i) be the second derivative of -5/2*i**2 + 19*i - 5/48*i**4 + 25/24*i**3 + 0. Factor w(u).
-5*(u - 4)*(u - 1)/4
Let r(p) be the third derivative of -p**8/112 + p**7/7 - 17*p**6/40 + 2*p**5/5 - 428*p**2. Solve r(t) = 0.
0, 1, 8
Let u(z) be the first derivative of 5*z**4/16 + 65*z**3/12 + 25*z**2/2 - 125*z - 1628. Find x, given that u(x) = 0.
-10, -5, 2
Let k(t) = 23*t - 32 - 12*t**2 - 23*t**2 + 37*t**2 + 9*t. Let h be k(-17). Suppose 2/9*r**4 + 4/9*r**3 + 0*r**h - 2/9 - 4/9*r = 0. Calculate r.
-1, 1
Let f = -2061 + 24733/12. Let j(o) be the second derivative of f*o**4 + 25/2*o**2 + 0 - 5/3*o**3 - 22*o. Solve j(x) = 0 for x.
5
Suppose -3288/7*r - 3/7*r**2 - 900912/7 = 0. Calculate r.
-548
Let z = -93277 - -93279. Solve 1/2*h + 0 + 1/2*h**z - 1/2*h**3 - 1/2*h**4 = 0 for h.
-1, 0, 1
Suppose 5*z - 32*f + 79 = -28*f, -2*f = z + 13. Let b be 6/z + 496/465. Factor -1/3*x**5 - b*x**3 + x**4 + 0 + 0*x**2 + 0*x.
-x**3*(x - 2)*(x - 1)/3
Let j = -89224/50585 - -118/67. Let x = j + 36544/755. Determine a so that -44/5*a + x + 2/5*a**2 = 0.
11
Suppose -631*v + 626*v + 15 = 0. Let p = 8 + -4. Factor v*d**3 - 5*d + 52 - p*d + 0*d - 58.
3*(d - 2)*(d + 1)**2
Let d(q) be the first derivative of 2*q**3/15 + 138*q**2/5 + 274*q/5 - 160. Factor d(a).
2*(a + 1)*(a + 137)/5
Let p be (-3)/(-2) - (-111)/6. Let r be ((-75)/p)/((-12)/32). Factor -5*g**2 - r + 9*g + g + 5*g.
-5*(g - 2)*(g - 1)
Let j = -17961 - -17964. Let m(s) be the third derivative of 0 - 1/4*s**5 + 0*s - 1/8*s**4 - 28*s**2 + 5/2*s**j + 1/40*s**6. Factor m(w).
3*(w - 5)*(w - 1)*(w + 1)
Suppose 3*z = -3*c + 149 + 61, 4*z - 310 = 2*c. Suppose 159 = 21*v + z. Find b such that -b**2 + 0*b + 0 + 1/2*b**3 + 1/2*b**v = 0.
-2, 0, 1
Factor 704*r + 912*r - 1576 - 4*r**2 - 893*r + 857*r.
-4*(r - 394)*(r - 1)
Solve -7/4*x**3 + 0 + 135*x + 472*x**2 = 0.
-2/7, 0, 270
Let t(l) be the third derivative of -l**7/3360 + l**6/1440 + l**5/240 + 11*l**3/6 - 110*l**2. Let o(b) be the first derivative of t(b). Factor o(n).
-n*(n - 2)*(n + 1)/4
Let x(i) = -7*i**2 + 7*i + 4. Let v(o) be the second derivative of -o**4 + 2*o**3 + 7*o**2/2 - 73*o. Let j(n) = 4*v(n) - 7*x(n). Factor j(b).
b*(b - 1)
Let t(s) = -621*s - 9933. Let o be t(-16). Let -3/4 + 3/2*j**2 + 3/2*j**o - 3/4*j**5 - 3/4*j**4 - 3/4*j = 0. Calculate j.
-1, 1
Let i(c) be the first derivative of -c**3/3 + 23*c**2 - 168*c + 3674. Determine g, given that i(g) = 0.
4, 42
Let 25/3*w**5 + 14/3 + 310/3*w**4 + 92/3*w**2 - 554/3*w**3 + 113/3*w = 0. What is w?
-14, -1/5, 1
Let v be (5 - 23/4)/(2/(-8)). Factor 5*t**5 - 5*t**5 - 6*t**2 - 3*t**3 + 15*t**4 - 9*t**4 + v*t**5.
3*t**2*(t - 1)*(t + 1)*(t + 2)
Let l(w) = -4379*w**3 + 8666*w**2 + 924*w + 32. Let n(q) = 1452*q**3 - 2889*q**2 - 308*q - 11. Let u(c) = -3*l(c) - 8*n(c). What is z in u(z) = 0?
-2/39, 2
Let l(g) be the second derivative of g**5/100 - 301*g**4/10 + 181202*g**3/5 - 109083604*g**2/5 + 4*g - 4. Factor l(i).
(i - 602)**3/5
What is f in 129*f - 31716*f**2 + 15862*f**2 + 15857*f**2 = 0?
-43, 0
Suppose -614/9*o**4 + 856/9*o**2 - 28/9*o**5 - 3316/9*o**3 + 3344/9*o - 242/9 = 0. Calculate o.
-11, -1, 1/14, 1
Let q(v) be the first derivative of -3*v**4/4 - 90*v**3 - 531*v**2/2 - 264*v - 62. What is f in q(f) = 0?
-88, -1
Let x(d) be the second derivative of d**6/30 - d**5/10 - 4*d**4 + 49*d**3/3 - 49*d**2/2 - 7626*d. Factor x(v).
(v - 7)*(v - 1)**2*(v + 7)
Let o(s) be the third derivative of s**7/840 - 9*s**5/40 + 9*s**4/4 - 63*s**3/2 - 3*s**2 + 9*s. Let l(j) be the first derivative of o(j). Factor l(g).
(g - 3)**2*(g + 6)
Let t = 751739 + -751736. Find n such that 0 - 2*n**t + 2*n**5 + 8/7*n**2 + 0*n - 8/7*n**4 = 0.
-1, 0, 4/7, 1
Let i = 1690017/2 - 845003. Solve 1/2*a**5 + 0*a + 9/2*a**4 + 0 + i*a**2 - 21/2*a**3 = 0 for a.
-11, 0, 1
Let r(x) be the third derivative of -x**6/24 + 5*x**5 - 765*x**4/8 + 5663*x**2. Factor r(f).
-5*f*(f - 51)*(f - 9)
Suppose -2*i - 3*v = -8*v + 23, 4*i + v = -35. Let d be 216/192*(-6)/i. Factor 3/8*n**2 - d*n + 0.
3*n*(n - 2)/8
Factor -30*a**2 + 38*a**2 + 915*a + 9*a**2 - 20*a**2 - 3234*a.
-3*a*(a + 773)
Let h(s) be the third derivative of -s**7/1260 - s**6/40 - 2*s**5/9 + 4*s**2 + 226*s. Suppose h(c) = 0. Calculate c.
-10, -8, 0
Let b be ((-120)/192)/(35/(-42)). Let f = 115/2 - 56. Factor -3/4 - b*a**2 - f*a.
-3*(a + 1)**2/4
Factor 3576553 + 250*m - 3576553 - 5*m**2.
-5*m*(m - 50)
Let n(y) = -2*y**2 + 15*y - 4. Let p be (-5)/(-10) + (-39)/(-6). Let k be n(p). Factor -3/4*b**4 + 0*b + 0 - 9/4*b**k - 3/2*b**2.
-3*b**2*(b + 1)*(b + 2)/4
Let i(m) be the second derivative of m**8/15680 - m**7/392 - m**6/1680 + 3*m**5/56 + m**4/3 - 16*m + 3. Let o(v) be the third derivative of i(v). Factor o(w).
3*(w - 15)*(w - 1)*(w + 1)/7
Find g, given that -14*g**2 + 1/2*g**4 + 0 + 10*g + 7/2*g**3 = 0.
-10, 0, 1, 2
Suppose 1160 = -11*k + 1039. Let w be (k/((-66)/(-24)))/(-2). Find c such that 3/4 - 1/4*c**w - 1/2*c = 0.
-3, 1
Factor -5409/2*i - 9752427/4 - 3/4*i**2.
-3*(i + 1803)**2/4
Let o(c) be the third derivative of c**5/120 + 743*c**4/48 - 62*c**3 - 6127*c**2 - c. Factor o(z).
(z - 1)*(z + 744)/2
Solve -1/4*k**5 + 9/4*k - 2*k**3 + 0 + 3/2*k**4 - 3/2*k**2 = 0.
-1, 0, 1, 3
Suppose 2*n - 8*j = -10*j + 16, 2*n - 3*j = -14. Let d(q) be the first derivative of 0*q - 2/9*q**3 + 2*q**n + 18. Factor d(r).
-2*r*(r - 6)/3
Let f(r) be the second derivative of 0 - 2/3*r**3 - 11/2*r**2 + 1/15*r**5 - 24*r + 0*r**4. Let n(o) be the first derivative of f(o). Find m such that n(m) = 0.
-1, 1
Let q(o) be the second derivative of -o**5/90 + 3*o**4 - 2240*o**3/9 + 12800*o**2/9 + 151*o + 9. Factor q(c).
-2*(c - 80)**2*(c - 2)/9
Suppose 7*r - 3*r + 6632 = 4*i,