*k**5 + 41*k**3 - 8*k**6. Solve q(a) = 0.
-3, -2, 1/4
Factor -376 - 1370 - 1010*s + 52952*s**2 - 52947*s**2 - 542 + 248.
5*(s - 204)*(s + 2)
Let i = 17 - -67. Let n(r) = i*r - 612 - 5*r**2 + 17 + 9. Let t(l) = -6*l**2 + 84*l - 585. Let j(g) = -3*n(g) + 2*t(g). Factor j(m).
3*(m - 14)**2
Let m(r) be the third derivative of 19/24*r**4 - 2*r**2 - 1/105*r**7 - r**3 - 11/30*r**5 + 0*r + 11/120*r**6 + 12. Factor m(k).
-(k - 2)*(k - 1)**2*(2*k - 3)
Factor 10*u + 18*u**2 - 4*u - 15*u**2 + 3*u**4 - 2*u - 9*u**3 - 6 + 5*u.
3*(u - 2)*(u - 1)**2*(u + 1)
Let v(y) be the first derivative of 2*y**5/25 - 9*y**4/5 - 106*y**3/5 + 368*y**2/5 - 384*y/5 - 3373. Solve v(j) = 0 for j.
-8, 1, 24
Let c(l) = 341*l + 335*l - 687*l + 66. Let k be c(6). Find v, given that -16/5*v + k + 16/5*v**2 - 4/5*v**3 = 0.
0, 2
Factor 3*b**3 + 3*b**4 + 36 - 2 - 67*b**2 - 64 + 69*b + 22*b**2.
3*(b - 2)*(b - 1)**2*(b + 5)
Let u(r) be the second derivative of r**7/189 + 7*r**6/135 + r**5/15 - 16*r**4/27 - 32*r**3/27 + 2*r + 323. Solve u(t) = 0 for t.
-4, -1, 0, 2
Let h be (2/(-4))/((-374)/18139) - 23. Factor 6 - 23*z - 37/4*z**3 + h*z**4 + 47/2*z**2.
(z - 3)*(z - 2)**2*(5*z - 2)/4
Suppose 468 - 448 = 7*a - 2*a. Let -1/2*b + 0 - a*b**2 = 0. Calculate b.
-1/8, 0
Let b = 2/17467 - -52321/698680. Let z(p) be the second derivative of 7/24*p**3 + 1/24*p**4 - 1/168*p**7 - 1/24*p**6 - b*p**5 - p + 0 + 3/8*p**2. Factor z(r).
-(r - 1)*(r + 1)**3*(r + 3)/4
Factor 1/4*l**4 + 0*l + 0 + 310249/4*l**2 - 557/2*l**3.
l**2*(l - 557)**2/4
Factor 18/5*h**4 + 1/10*h**5 - 117/10*h**3 + 0*h**2 + 0 + 0*h.
h**3*(h - 3)*(h + 39)/10
Suppose 3*k + 3*a = 1287, -11*a + 12 = -8*a. Let s = k + -425. Factor 2/3*u**4 + 0 + s*u + 8/3*u**3 + 8/3*u**2.
2*u**2*(u + 2)**2/3
Let g(f) be the second derivative of -2*f**6/15 - 18*f**5/5 - 32*f**4 - 220*f**3/3 + 450*f**2 + 9031*f. Factor g(z).
-4*(z - 1)*(z + 5)**2*(z + 9)
Factor -1/5*p**5 - 28*p**4 + 0*p + 0*p**2 + 141/5*p**3 + 0.
-p**3*(p - 1)*(p + 141)/5
Suppose 5*m - 10 = -0. Suppose 6*v - 33 - 14 + 29 = 0. Factor 1/2*c - 1/4*c**m + 0 - c**v + 3/4*c**4.
c*(c - 1)**2*(3*c + 2)/4
Let j(q) be the second derivative of -q**6/90 + 221*q**5/60 - 462*q**4 + 25056*q**3 - 311040*q**2 + 3*q + 221. Factor j(y).
-(y - 72)**3*(y - 5)/3
Let i(k) be the second derivative of 3/7*k**3 - 7*k - 1/70*k**6 - 4 - 3/70*k**5 + 5/28*k**4 + 0*k**2. Factor i(z).
-3*z*(z - 2)*(z + 1)*(z + 3)/7
Let k(t) be the second derivative of -t**4/114 + 287*t**3/57 - 286*t**2/19 - 2*t + 295. Solve k(y) = 0.
1, 286
Let y(k) be the third derivative of -96*k**2 - 11/8*k**4 - 19/20*k**5 + 0*k - 1/8*k**6 + 0 + 3/2*k**3. Factor y(p).
-3*(p + 1)*(p + 3)*(5*p - 1)
Let o(l) be the second derivative of -3/100*l**5 + 39*l + 0*l**2 + 3 + 1/4*l**4 - 2/5*l**3. Factor o(i).
-3*i*(i - 4)*(i - 1)/5
Let w(s) be the second derivative of s**4/6 - 115*s**3/3 + 9*s - 153. Find k such that w(k) = 0.
0, 115
Factor 593 + 4*c**3 - 15075*c**2 - 384*c + 0*c**3 + 14703*c**2 + 159.
4*(c - 94)*(c - 1)*(c + 2)
Let q = 136/869 - -2/79. Suppose -270 - 1830 = -1050*c. Factor 18/11 + q*h**c - 12/11*h.
2*(h - 3)**2/11
Let x(u) be the first derivative of -u**5/55 - 19*u**4/44 - 50*u**3/33 - 16*u**2/11 + 4017. Let x(o) = 0. Calculate o.
-16, -2, -1, 0
Let v be (-5 - 0) + (-7 - (-30)/5) + 6. Let p(m) be the third derivative of 25/252*m**4 - 1/63*m**5 + 1/1260*m**6 + 0 - 21*m**2 + v*m**3 + 0*m. Factor p(k).
2*k*(k - 5)**2/21
Let l(z) be the third derivative of -9/170*z**5 + 0*z + 143*z**2 + 0*z**3 + 9/68*z**4 + 3/340*z**6 + 0 - 1/1785*z**7. Factor l(k).
-2*k*(k - 3)**3/17
Solve -97808*z**3 + 48919*z**3 + 48919*z**3 + 250 + 1245*z - 1525*z**2 = 0.
-1/6, 1, 50
Let u(h) be the third derivative of h**6/24 + 8*h**5/3 + 445*h**4/24 + 145*h**3/3 - 1444*h**2. Factor u(p).
5*(p + 1)*(p + 2)*(p + 29)
Let x be (7 - (-225)/(-27))/(4/(-6)). Factor 31879 - 31871 - 60*s + 10*s**2 + 18*s**x.
4*(s - 2)*(7*s - 1)
Let d(q) be the second derivative of q**6/30 - 17*q**5/20 + 29*q**4/12 + 17*q**3/6 - 15*q**2 + 4*q - 4. Find n, given that d(n) = 0.
-1, 1, 2, 15
Let o(u) be the third derivative of 2/105*u**7 + u**2 + 0*u + 2/15*u**5 + 0*u**3 + 0*u**4 - 1/10*u**6 - 154. Factor o(s).
4*s**2*(s - 2)*(s - 1)
Let h(a) be the first derivative of a**6/120 + 7*a**5/80 - 7*a**4/12 + 5*a**3/6 + 29*a - 91. Let s(v) be the first derivative of h(v). Solve s(g) = 0.
-10, 0, 1, 2
Let x(m) be the first derivative of -m**4/16 + 77*m**3/12 - 45*m**2 + 3263. Determine d, given that x(d) = 0.
0, 5, 72
Suppose -2*n = -3*w - 23, 4*n + n = w + 25. Let f(s) = 2*s + 12. Let g be f(w). Factor -6*b**2 + 5*b**2 - 15*b + 0*b**2 - g*b**2 - 18.
-3*(b + 2)*(b + 3)
Let i(u) be the first derivative of 29 + 676/7*u - 52/7*u**2 + 4/21*u**3. Solve i(j) = 0 for j.
13
Let 5679*a**4 - 694*a**3 + 158420 - 11369*a**4 + 5685*a**4 - 42255*a**2 - 288*a**3 + 77*a**3 - 115255*a = 0. What is a?
-89, -4, 1
Let p(j) be the first derivative of -2401/8*j**6 - 12*j - 3087/4*j**5 - 735*j**4 - 350*j**3 - 90*j**2 - 7. Suppose p(a) = 0. Calculate a.
-1, -2/7
Let w = 189926 + -189924. Determine l, given that -4/3*l - 2*l**4 - w*l**2 + 16/3*l**3 + 0 = 0.
-1/3, 0, 1, 2
Let l = -3/1135 - -1171/13620. Let h(i) be the third derivative of l*i**3 + 0*i**4 + 0*i - 1/120*i**5 + 0 - 16*i**2. Factor h(p).
-(p - 1)*(p + 1)/2
Let o(f) = -f**3 + 25*f**2 + 22*f + 104. Suppose 32*p + 338 = 45*p. Let b be o(p). Factor b + 3/4*n**3 + 0*n + 3/4*n**2.
3*n**2*(n + 1)/4
Let g(z) be the first derivative of 2*z**6/33 - 6*z**5/55 - 59*z**4/22 - 244*z**3/33 - 36*z**2/11 + 112*z/11 - 1078. Solve g(o) = 0.
-2, 1/2, 7
Suppose 3*j = 4*h + 59, 2*j - 7*h - 6 = -11*h. Suppose 0 = -42*z + j*z. Factor 0*o + 0*o**2 + z + 0*o**4 - 2/11*o**5 + 2/11*o**3.
-2*o**3*(o - 1)*(o + 1)/11
Let v = -416 + 431. Suppose 18*d**3 - v*d**4 + 14*d**4 - 6*d**2 - 16*d**3 - 4*d + 7*d**4 + 2*d**5 = 0. Calculate d.
-2, -1, 0, 1
Find p such that -3/8*p**5 + 4305/8*p - 2151/4*p**3 - 11025/8 + 5403/4*p**2 + 219/8*p**4 = 0.
-1, 1, 3, 35
Suppose 0 = 836*p - 831*p - q - 13, 0 = -4*p - 3*q - 1. Solve -8/7*r**p + 10/7*r + 2/7*r**3 - 4/7 = 0 for r.
1, 2
Let c = 439/2 + -3292/15. Let s(o) be the third derivative of 16/3*o**3 + 0 - 2/3*o**4 + 0*o + c*o**5 - 11*o**2. Factor s(p).
2*(p - 4)**2
Find g such that 60 - 2756*g**4 + 28*g + 296*g + 597*g**2 + 417*g**3 - 12*g**5 + 2828*g**4 = 0.
-2, -1, -1/2, 10
Let i = -3318 + 3320. Let t(c) be the second derivative of 1/8*c**4 + 30*c + 9*c**i + 13/4*c**3 + 0. Factor t(h).
3*(h + 1)*(h + 12)/2
Let s(w) = -237*w - 89. Let m be s(-1). Suppose 4*k - m = -132. Factor 0 + 0*a + 3/4*a**k - 1/4*a**3 + 0*a**2.
a**3*(3*a - 1)/4
Suppose 0 = -7*j - 2*j + 18. Let m be (-16*j)/(((-8)/1)/4). Find z, given that -m + 4*z**4 - 13*z**2 + 32*z + 25*z**2 + 4*z**5 - 20*z**3 - 16*z**2 = 0.
-2, 1
Suppose 0 = 4*j + 2*q - 14, 0 = -5*j + 7*q - 2*q - 5. Factor 18 - 13*c**2 + 12*c**j - c**2.
-2*(c - 3)*(c + 3)
Let i(j) be the first derivative of 40*j - 115 + 2/3*j**3 + 21*j**2. Suppose i(r) = 0. What is r?
-20, -1
Let f(h) be the third derivative of -25*h**8/672 + 59*h**7/140 - 41*h**6/60 - 197*h**5/30 + 18*h**4 - 16*h**3/3 - 1605*h**2. Suppose f(p) = 0. Calculate p.
-2, 2/25, 1, 4
Let b(z) be the first derivative of 2*z**5/25 - 323*z**4/10 + 52486*z**3/15 - 25921*z**2/5 - 8151. What is j in b(j) = 0?
0, 1, 161
Factor 44/21*p**2 + 2/21*p**3 - 44/21 - 2/21*p.
2*(p - 1)*(p + 1)*(p + 22)/21
Let h be (35/20)/(-7) - (-18)/8. Factor 6*w + h + w**3 - 4*w**2 + w**3 + 0*w**3 + 10*w**2.
2*(w + 1)**3
Find b, given that 40*b**2 + 10*b - 448*b**3 - 4*b**5 - 10*b - 24*b**4 + 436*b**3 = 0.
-5, -2, 0, 1
Let h be (-4)/(96/(-54) - -2). Let t be 45/105*(-28)/h. What is d in t*d**2 + 0*d - 2/3 = 0?
-1, 1
Let h be (-20)/990*(-1023)/62. Suppose 0 - 2/3*p - h*p**2 = 0. Calculate p.
-2, 0
Let u = 40 - 44. Let s(k) = k**2 + 2*k + 4. Let f be s(u). Determine l, given that 20*l**3 - 13 + 29 - 9*l**4 - 7*l**4 - 12 - 20*l + f*l**2 = 0.
-1, 1/4, 1
Suppose 5*s - 50 = 0, -178*s = -3*l - 181*s + 45. Determine u so that 32/7*u**4 + 12*u**3 + 72/7*u**2 + 0 + 0*u + 4/7*u**l = 0.
-3, -2, 0
Let h(n) be the third derivative of -38*n**2 + 0 - 1/120*n**6 - 1/8*n**4 - 1/12*n**5 + 0*n + 3/2*n**3. Suppose h(w) = 0. Calculate w.
-3, 1
Suppose 0 = -4*q + 7*g - 6*g + 503, -q - 2*g = -128. Solve 3*y**4 - 67*y - 65*y + q*y + 3*y**5 - 