= -5*f, 7*v - 2*v = -3*f + 210. Factor -3*l**3 + 30 + 6*l**2 - f + 17 + 15*l.
-3*(l - 3)*(l - 1)*(l + 2)
Let w = -4751 + 4753. Let u(n) be the second derivative of 0 + 22*n - 1/120*n**6 + 0*n**w + 5/48*n**4 + 1/8*n**3 + 1/80*n**5. Determine h, given that u(h) = 0.
-1, 0, 3
Let s = 979 + -957. Let y(h) be the third derivative of -1/8*h**6 - s*h**2 - 25/3*h**3 - 5/3*h**5 + 0*h + 0 - 45/8*h**4. Factor y(u).
-5*(u + 1)*(u + 5)*(3*u + 2)
Suppose 687/2*f**2 + 157323*f + 1/4*f**3 + 24017978 = 0. Calculate f.
-458
Let t = -12 - -110/9. Let o(s) = 817*s + 8172. Let l be o(-10). Factor 2/3*u**l - 2/3*u - 2/9*u**3 + t.
-2*(u - 1)**3/9
Suppose -5*n = 5*f + 65, -4*n + 31 = -4*f + 3. Let b be 1*4*((-35)/f + -3). Determine x so that 2*x**3 - 5*x**2 + 2*x**2 - 4*x + 5*x**b = 0.
-2, 0, 1
Let s = 361 + -359. Suppose -8*h - h + 0*h - 4 - 2*h**s + 3*h = 0. What is h?
-2, -1
Let g(h) = 22*h**4 + 31*h**3 + 51*h**2 + 3. Let x(d) = -60*d**4 - 92*d**3 - 152*d**2 - 8. Let f(q) = 8*g(q) + 3*x(q). Factor f(p).
-4*p**2*(p + 3)*(p + 4)
Let w(y) be the second derivative of y**5/50 - 33*y**4/10 + 566*y**3/15 - 744*y**2/5 + 2*y - 5869. Let w(q) = 0. Calculate q.
2, 4, 93
Let q(w) be the third derivative of -w**5/60 - 17*w**4/24 + 11*w**3/3 - 10*w**2. Let d be q(-18). Factor -27*b + 3*b + 24*b**2 + d - 4*b.
4*(b - 1)*(6*b - 1)
Let l = 2329 + -2311. Let u be ((-234)/(-780))/(l/(-20) + 1). Suppose 0 + 5/2*m**5 - 7/2*m**2 + 7/2*m**4 - 3/2*m**u - m = 0. What is m?
-1, -2/5, 0, 1
Find x, given that -72/5*x**4 - 3/5*x**5 + 252/5*x + 12/5*x**2 - 189/5*x**3 + 0 = 0.
-21, -2, 0, 1
Let i(z) be the first derivative of -7*z**8/1440 - z**7/720 + z**6/54 + z**5/45 + 5*z**3/3 - 32. Let g(w) be the third derivative of i(w). Factor g(t).
-t*(t - 1)*(7*t + 4)**2/6
Let p(i) be the first derivative of -2*i**5/3 - 71*i**4/2 + 172*i**3/9 + 5637. Factor p(b).
-2*b**2*(b + 43)*(5*b - 2)/3
Let i(b) be the first derivative of b**6/1140 - b**5/570 + 9*b**2/2 - 9. Let j(v) be the second derivative of i(v). Let j(z) = 0. What is z?
0, 1
Let 39/4 + 1/4*r**3 - 11/4*r**2 - 29/4*r = 0. What is r?
-3, 1, 13
Determine i, given that -1/4*i**2 - 523/2*i - 1045/4 = 0.
-1045, -1
Factor -475*f**2 + 66*f**4 - 19*f**3 - 16*f**3 - 1325*f + 1586 - 170*f**2 - 61*f**4 + 414.
5*(f - 16)*(f - 1)*(f + 5)**2
Let w(i) = -8*i - 1. Let b be w(-1). Suppose 1 = b*d - 20. Let -3*m**4 - 5*m**3 + 10*m**3 + d*m**3 + 15*m**4 = 0. What is m?
-2/3, 0
Let b(h) = -15*h**2 - 150*h - 423. Let r(p) = 85 - 555*p + 302*p + 283*p + 3*p**2. Let z(l) = 5*b(l) + 24*r(l). What is n in z(n) = 0?
-5
Let y = 3689761/10243330 - -814/5921. Let s = 2/865 + y. Factor 0*n**2 + 0*n**3 + 0 - s*n**4 + 1/2*n**5 + 0*n.
n**4*(n - 1)/2
Let g(t) be the first derivative of t**3 - 15*t**2/2 + 28*t + 72. Let p(d) = -6*d**2 + 25*d - 56. Let y(h) = -5*g(h) - 2*p(h). Factor y(u).
-(u - 7)*(3*u - 4)
Suppose -15 = -3*t + g, 2*t + 2*g - 2 + 0 = 0. Suppose -t = -w - 0. Factor -2*q**3 + 0*q**3 - 2*q**4 + w*q**4 + 0*q**4.
2*q**3*(q - 1)
Let l(u) be the second derivative of 0 - 5/54*u**4 - 4/9*u**3 + 56*u - 4/9*u**2. Let l(v) = 0. Calculate v.
-2, -2/5
Let p = 1158 + -897. Let b = 263 - p. Factor 1/4*y**b + 0 - 5/4*y.
y*(y - 5)/4
Let o be 6*1 + (27 - (-4565)/(-166)). Factor -o - 1/2*q**2 + 6*q.
-(q - 11)*(q - 1)/2
Let n(z) be the second derivative of -25*z**6/52 - 20*z**5/39 - 35*z**4/156 - 2*z**3/39 - 29*z**2 - 45*z. Let g(r) be the first derivative of n(r). Factor g(y).
-2*(5*y + 1)**2*(15*y + 2)/13
Find g such that 104/9 + 10/3*g + 1/9*g**2 = 0.
-26, -4
Suppose 9*a - 11*a - i + 9 = 0, 5*i + 7 = 3*a. Let l be (1/a*1)/((-267)/(-4272)). Factor -16/13*q + 0 + 2/13*q**l + 34/13*q**2 - 20/13*q**3.
2*q*(q - 8)*(q - 1)**2/13
Determine g so that 22*g**3 + 0*g - 140/3*g**2 + 0 + 2/3*g**4 = 0.
-35, 0, 2
Let m be (-1 - (296/(-64) - -4))/(-1 - 119/(-136)). Factor 8/7*j - 8/21*j**2 + 0 - 2/21*j**m.
-2*j*(j - 2)*(j + 6)/21
Let g(w) be the third derivative of w**6/72 + 173*w**5/180 + 205*w**4/36 - 32*w**3/3 + 67*w**2 + w + 2. Factor g(j).
(j + 3)*(j + 32)*(5*j - 2)/3
Factor 5187*n + 1192 - 250 + 5037*n**2 - 5004*n**2.
3*(n + 157)*(11*n + 2)
Let b = -14084/3 - -4769. Let y = -73 + b. Find r such that 0 + 6*r**3 + 14/3*r**4 + 0*r + y*r**2 = 0.
-1, -2/7, 0
Suppose -80*o - 3*o + 249 = 0. Let p = -372/5 - -75. Let 0 + p*q**o + 3/5*q + 6/5*q**2 = 0. What is q?
-1, 0
Let h(g) be the second derivative of g**7/7 - 87*g**6/10 + 309*g**5/10 - 39*g**4/4 - 41*g**3 + 4311*g. Let h(l) = 0. Calculate l.
-1/2, 0, 1, 2, 41
Let j be 22/11 - ((-27)/3 + 11). Let p(x) be the first derivative of 16 + 2/23*x + j*x**2 - 2/69*x**3. Let p(k) = 0. What is k?
-1, 1
Let g(v) be the first derivative of 5*v**4/16 - 85*v**3/12 - 40*v**2 + 100*v + 340. Suppose g(a) = 0. Calculate a.
-4, 1, 20
Let x = -110922 + 554718/5. Determine q, given that -972/5 + x*q - 3/5*q**2 = 0.
18
Suppose -5*y + 40*z - 41*z + 20 = 0, 4*z - 20 = 0. Let m be y - (-50)/15 - (-15)/(-5). Factor m*d**3 + 0 + 4/9*d + 2*d**2 + 2/3*d**5 + 22/9*d**4.
2*d*(d + 1)**3*(3*d + 2)/9
Let h = 153 - 37. Solve -1250 - 100*c + h*c**2 - 235*c**2 + 117*c**2 = 0.
-25
Let f(z) be the third derivative of 7/60*z**5 - 2/3*z**3 - 4 - 7*z**2 - 1/70*z**7 + 1/6*z**4 + 0*z - 1/30*z**6. Suppose f(j) = 0. Calculate j.
-2, -1, 2/3, 1
Let -6*z**3 - 4027*z**2 - 631 + 1420*z + 186*z**3 + 5*z**4 - 5 + 21 + 3037*z**2 = 0. What is z?
-41, 1, 3
Let j(q) be the third derivative of -q**8/168 + 76*q**7/21 + q**6/30 - 76*q**5/3 - q**4/12 + 380*q**3/3 + 6098*q**2. Find r, given that j(r) = 0.
-1, 1, 380
Let a(k) be the second derivative of -3*k**3 + 109*k**2 + 43*k. Let r be a(12). Factor 0 + 3/4*h**3 - 3/4*h - 1/4*h**4 + 1/4*h**r.
-h*(h - 3)*(h - 1)*(h + 1)/4
Let y = 575 + -557. Suppose y*d = 19*d - 4. Factor 1/3*k**3 + 2*k**2 + 8/3 + d*k.
(k + 2)**3/3
Factor 0*l - 2/3*l**5 - 88/3*l**4 + 0 + 0*l**2 + 30*l**3.
-2*l**3*(l - 1)*(l + 45)/3
Let d be 3*14/15*(-12)/(-8). Suppose 3*v + 2*i - 3 = 0, 3*i - 2*i - 3 = -2*v. Solve 69/5*c**v - 21/5*c - 48/5*c**5 - d*c**2 - 3/5 + 24/5*c**4 = 0 for c.
-1, -1/4, 1
Let v be ((-3)/(-6) + 5)/(1/(-18))*1537/(-3074). Suppose 36 - 69*c - 15/2*c**3 - v*c**2 = 0. What is c?
-4, -3, 2/5
Let z be ((-623)/126 + 5)/((-132)/(-2970)). What is q in -1/4*q**5 - 1 - 1/4*q**2 + 1/4*q**4 - 2*q + z*q**3 = 0?
-1, 2
Let y be (0/(11 + -5 + -4) + 1)*0. Find v, given that y*v**2 - 10/7*v**3 - 2/7*v**5 - 12/7*v**4 + 0*v + 0 = 0.
-5, -1, 0
Suppose -5*p + m = -18, 7*p - 4*p - m - 12 = 0. Suppose -5*i - 3*r = -0*i - 110, 0 = -p*r + 15. Find n, given that -i*n - 8*n**2 + 12*n**3 + 1 - 7*n**3 - 7 = 0.
-1, -2/5, 3
Let n(u) be the first derivative of -7/13*u**2 - 18 + 1/26*u**4 + 4/39*u**3 + 8/13*u. Factor n(p).
2*(p - 1)**2*(p + 4)/13
Let o = 495 - 510. Let z be (5/1)/(-5) - 21/o. Factor -f + z + f**3 - 2/5*f**2.
(f - 1)*(f + 1)*(5*f - 2)/5
Let c(l) be the second derivative of -l**4/48 - 35*l**3/24 + 37*l**2/4 + 816*l. Factor c(p).
-(p - 2)*(p + 37)/4
Determine w so that 0 - 16/3*w - 100/9*w**2 - 56/9*w**3 - 4/9*w**4 = 0.
-12, -1, 0
Factor 76*u**2 + 4246*u + 3334276 - 594*u + 41*u**2 - 116*u**2.
(u + 1826)**2
Let t(w) be the third derivative of 4/25*w**5 - 23/60*w**4 - 1/300*w**6 + 0*w + 30 + 3*w**2 + 0*w**3. Factor t(z).
-2*z*(z - 23)*(z - 1)/5
Factor -1/4*n**2 - 35/4*n + 0.
-n*(n + 35)/4
Let l(n) be the first derivative of n**5/45 - 58*n**4/9 + 4328*n**3/9 + 27376*n**2/9 + 55696*n/9 - 3183. Suppose l(h) = 0. Calculate h.
-2, 118
Suppose -8296*y = -8387*y + 182. Let 12*u - 108 - 1/3*u**y = 0. Calculate u.
18
Factor 1/4*d**2 + 8*d + 135/4.
(d + 5)*(d + 27)/4
Let o(q) be the third derivative of q**5/120 + 149*q**4/16 - 112*q**3/3 - 4*q**2 + 189. Factor o(g).
(g - 1)*(g + 448)/2
Let -1362/7*b**2 - 1368/7*b + 2728/7 + 2/7*b**3 = 0. Calculate b.
-2, 1, 682
Let m be -6 + (-8544)/(-144)*6/4. Suppose -8*t = -99 + m. Factor 8/13 + 8/13*p + 2/13*p**t.
2*(p + 2)**2/13
Let r(o) be the first derivative of -o**5/15 - 13*o**4/18 + 8*o**3/9 + 7*o**2/3 + 10*o - 24. Let f(z) be the first derivative of r(z). Solve f(c) = 0 for c.
-7, -1/2, 1
Let u(s) = -1067*s + 48017. Let d be u(45). What is y in -1/9*y**d - 7/9*y + 0 = 0?
-7, 0
Let p = 266 + -261. Suppose -3*b = 5*f - 19, 2*b - p*b = 4*f - 17. Suppose 0*m - 8/5*m**b + 16/5*m**2 + 0 + 1/5*m**4 = 0. Calculate m.
0, 4
What is l in 10/11*l**3 - 1/11*l**4 