et v(s) be the first derivative of -18*s + 2/3*s**3 - 8*s**2 + 92. Factor v(u).
2*(u - 9)*(u + 1)
Factor -21*g**2 - 1764*g - 49392 - 1/12*g**3.
-(g + 84)**3/12
Let x(z) = 8*z**2 + 4*z. Let s(i) be the second derivative of 0*i**2 - 24*i + 1/20*i**5 + 0*i**3 + 0 - 1/12*i**4. Let r(m) = 2*s(m) + x(m). Factor r(y).
2*y*(y + 1)*(y + 2)
Let f(c) be the first derivative of -45 + 0*c + 0*c**2 - 1/42*c**4 + 10/63*c**3. Factor f(v).
-2*v**2*(v - 5)/21
Let z(t) be the second derivative of -t**7/189 - 13*t**6/135 + t**5/30 + 41*t**4/54 + 26*t**3/27 + 3362*t. Solve z(s) = 0.
-13, -1, 0, 2
Suppose -11*k = -3*v - 6*k + 33, -4*v - 4*k - 20 = 0. Let r(o) = -o**3 + o**2 - o. Let x(d) = 1 - d**3 - d - 5*d**2 - 1. Let b(j) = v*x(j) + r(j). Factor b(i).
-2*i*(i + 1)**2
Suppose -184 = -t - t - 5*q, 3*q = -6. Determine p, given that 3*p**4 - 5*p**4 + 2*p**4 - t*p**2 - 120*p + 55*p**3 + 5*p**4 + 27*p**2 = 0.
-12, -1, 0, 2
Suppose 42 + 17/2*a**2 + 89/2*a = 0. What is a?
-4, -21/17
Solve -3/5*y**3 - 20172/5 - 4059/5*y + 234/5*y**2 = 0 for y.
-4, 41
Let y = 221 - 75. Find i, given that i**4 - 38*i - 63 - 113*i**2 - 51*i**4 + 67 - y*i**3 - 25*i**2 = 0.
-1, 2/25
Let i(a) be the second derivative of a**8/560 - a**6/120 - 23*a**3/3 - 2*a - 6. Let d(x) be the second derivative of i(x). Let d(l) = 0. Calculate l.
-1, 0, 1
Let o = -50 + 58. Factor o - 23 + 57*r + 13 + 4*r**2 - 56*r**2 - 3*r**2.
-(r - 1)*(55*r - 2)
Let y = -485 + 470. Let u be (-11 - 170/y)/((-8)/(-3)). Find t such that -u*t**5 - 1/4*t**4 + 1/4*t**2 + 0*t + 0 + 1/8*t**3 = 0.
-2, -1, 0, 1
Let p(o) be the third derivative of -o**8/112 - 76*o**7/105 + 371*o**6/120 - o**5/15 - 53*o**4/6 + 2036*o**2 + 2. Let p(u) = 0. Calculate u.
-53, -2/3, 0, 1, 2
Let z be (-2)/48*(30 - 32). Let i(j) be the first derivative of 2/9*j**3 - 13 - z*j**4 + 0*j - 1/6*j**2. Factor i(y).
-y*(y - 1)**2/3
Let a(h) be the third derivative of -h**9/540 - h**8/420 + 17*h**7/630 - h**6/30 + 43*h**4/12 - 71*h**2. Let w(n) be the second derivative of a(n). Factor w(q).
-4*q*(q - 1)*(q + 2)*(7*q - 3)
Let q(c) be the first derivative of 1/12*c**4 + 17/2*c**2 + 0*c - 11 + 1/12*c**5 + 1/80*c**6 - 2/3*c**3. Let d(s) be the second derivative of q(s). Factor d(k).
(k + 2)**2*(3*k - 2)/2
Let t(b) = 5*b**3 - 267*b**2 + 1245*b + 61440. Let y(w) = -w**2 - 5*w. Let k(x) = -t(x) + 7*y(x). Solve k(g) = 0 for g.
-12, 32
Suppose 691 = 27*a - 605. Factor -a*z**3 + 126*z**2 + 43*z**3 - 91*z**2 + 40 - 70*z.
-5*(z - 4)*(z - 2)*(z - 1)
Let b(k) be the third derivative of 2*k**2 - 179 + 1/25*k**6 + 0*k**4 + 0*k**3 - 11/150*k**5 - 1/525*k**7 + 0*k. Factor b(t).
-2*t**2*(t - 11)*(t - 1)/5
Factor -1843/10*o**2 - 1/10*o**3 - 3683/10*o - 1841/10.
-(o + 1)**2*(o + 1841)/10
Let i = 528477 - 528475. Suppose -1/3*g**i - 8 - 25/3*g = 0. What is g?
-24, -1
Let z(j) be the third derivative of -j**5/30 + 529*j**4/2 - 839523*j**3 + 737*j**2 + 3*j. Factor z(v).
-2*(v - 1587)**2
Let s be (3000/(-360))/(2/(-1))*(-24)/(-40). Factor -25/2 - 1/8*o**2 - s*o.
-(o + 10)**2/8
Suppose j - 3 = -2*v, -3*v - 2*j + 4 = -2. Let s be 3*(v + (-15)/(-5)). Suppose -22*y**4 - y**4 - 4*y**3 - s*y**4 + 8*y**2 - 20*y**5 = 0. What is y?
-1, 0, 2/5
Let m(a) be the third derivative of a**6/150 - 119*a**5/150 + 29*a**4 + 60*a**3 - 62*a**2 + 41. Factor m(b).
2*(b - 30)**2*(2*b + 1)/5
Let k(s) be the first derivative of -5*s**3 + 39*s**2 - 48*s - 22. Let v(c) = -c**2. Let d(j) = k(j) - 6*v(j). Suppose d(r) = 0. What is r?
2/3, 8
Let g be 3 + 1/3*(5 - 8). Let m(j) be the first derivative of -1 + 1/3*j**3 + 0*j - 1/5*j**g. Factor m(z).
z*(5*z - 2)/5
Let w(b) be the second derivative of b**6/60 - 17*b**4/8 - 5*b**3/6 + 150*b**2 - b - 165. Factor w(l).
(l - 6)*(l - 4)*(l + 5)**2/2
Factor -88*s**2 - 2/5*s**3 - 2586/5*s - 3852/5.
-2*(s + 3)**2*(s + 214)/5
Let f = -276 - -389. Let g = f - 108. Suppose -12*r**2 + g*r - 6 - 15*r**2 + 28*r**2 = 0. What is r?
-6, 1
Let m(t) be the second derivative of -2/57*t**3 + 1/114*t**4 - 29*t + 0*t**2 + 0. Let m(d) = 0. What is d?
0, 2
Let q(g) = -45*g**4 - 73*g**3 + 11*g + 11. Let u(l) = 16*l**4 + 24*l**3 - 4*l - 4. Let o(p) = 4*q(p) + 11*u(p). Factor o(i).
-4*i**3*(i + 7)
Let u(p) be the second derivative of -p**5/10 + 2*p + 7. Let o(n) = 15*n**3 - 102*n**2 + 372*n - 360. Let d(f) = o(f) + 6*u(f). Determine w so that d(w) = 0.
2, 30
Suppose -10*m = -16 - 34. Suppose -10*l - m*l + 645 = 0. What is x in 4 - 1 + 45*x**2 - 1 + 4*x - l*x**2 = 0?
-1
Let l be ((-52)/36 - -2)*((-98)/(-14) - 602/(-70)). Suppose -338/3 - 1/6*t**2 + l*t = 0. What is t?
26
Let s(w) be the first derivative of -1/5*w**4 + 4/5*w**3 - 36 - 16/5*w + 0*w**2. Determine u, given that s(u) = 0.
-1, 2
Let h = -31 + 34. Suppose 4*i = h*l + 12, -l + 0 - 4 = 3*i. Factor 5*f**5 + 2*f - f**4 - 7*f**3 + 6*f**4 - 8*f**4 + i*f**5 + 3*f**2.
f*(f - 1)**2*(f + 1)*(5*f + 2)
Suppose 31*a + 16*a = 0. Let p(f) be the third derivative of 10*f**2 + 0 + a*f - 3/200*f**6 + 9/40*f**4 - 1/10*f**5 + 2/5*f**3. Factor p(z).
-3*(z - 1)*(z + 4)*(3*z + 1)/5
Let l = 489551/50 + -9791. Let k(q) be the third derivative of -2*q**2 + l*q**5 + 0*q**3 + 1/15*q**4 - 1/300*q**6 + 0 + 0*q. Let k(t) = 0. What is t?
-1, 0, 4
Suppose -3*w = 4*j - 4, -5*w - 4*j = -3*w. Solve 356 + w*t - 176 - t**2 - 183 = 0 for t.
1, 3
Let q(f) be the first derivative of 1/25*f**5 + 0*f**3 - 256/5*f - 64/5*f**2 + 34 + 2/5*f**4. Let q(y) = 0. Calculate y.
-4, 4
Let j = 122 - 119. Determine l so that -j*l**2 - 117*l**4 + 6*l + 239*l**4 - 9*l**3 - 119*l**4 + 3*l**5 = 0.
-2, -1, 0, 1
Factor 0 + 81675*h + 1/3*h**4 + 81345*h**2 - 989/3*h**3.
h*(h - 495)**2*(h + 1)/3
Let r(l) be the third derivative of l**6/420 - 4*l**5/35 + 9*l**4/4 - 162*l**3/7 - 168*l**2. Factor r(w).
2*(w - 9)**2*(w - 6)/7
Determine i, given that -26/5*i - 12/5 - 58/15*i**2 - 6/5*i**3 - 2/15*i**4 = 0.
-3, -2, -1
Let q(c) = -2*c + 66. Let y be q(32). Let d be (-3)/(-1) + (0 - (-45)/(-25)). Suppose -2/5 - 4/5*t**y + d*t - 2/5*t**5 + 6/5*t**4 - 4/5*t**3 = 0. Calculate t.
-1, 1
Let 2/5*u**3 - 74/5*u + 38/5 + 34/5*u**2 = 0. Calculate u.
-19, 1
Let g(h) be the third derivative of -h**7/42 - h**6/8 + 17*h**5/12 + 65*h**4/8 + 50*h**3/3 + 111*h**2. Factor g(x).
-5*(x - 4)*(x + 1)**2*(x + 5)
Let f(w) be the third derivative of -1/32*w**4 - 12*w**2 + 0*w + 1/160*w**6 - 5/8*w**3 - 1 + 1/16*w**5. Solve f(h) = 0 for h.
-5, -1, 1
Let y = -153 - -236. Factor 16*x - 8*x - y*x**2 + 60 + 79*x**2.
-4*(x - 5)*(x + 3)
Let h(s) be the first derivative of 25*s - 45/2*s**2 + 5*s**3 + 5/4*s**4 - 47. What is g in h(g) = 0?
-5, 1
Let m(n) be the first derivative of -2*n**5/5 - 7*n**4/4 + 35*n**3 + 27*n**2 - 6674. Determine l so that m(l) = 0.
-9, -1/2, 0, 6
Let m(w) = -3*w**2 + 4. Let v(u) = u**3 + 55*u**2 - 353*u + 291. Let s(f) = -6*m(f) - v(f). Factor s(k).
-(k - 7)*(k - 1)*(k + 45)
Let c = 7 - 4. Let u = 1036 - 17610/17. Determine t, given that -2/17*t**c + 0 + 0*t - u*t**2 = 0.
-1, 0
Suppose -4*r + 3*m = m - 8, 5*r - 5*m = 0. Let s = 42237 - 42233. Factor 0 + 16/5*u + 32/5*u**2 + 4/5*u**s + r*u**3.
4*u*(u + 1)*(u + 2)**2/5
Let g = 194812 + -584420/3. Factor 0 + 32/3*i**2 - g*i**3 + 2/3*i**4 + 0*i.
2*i**2*(i - 4)**2/3
Let b = -1301693/3 + 433898. Solve 17/3 - 17/3*y**2 + 1/3*y - b*y**3 = 0 for y.
-17, -1, 1
Factor 96/5 - 58/3*i + 2/15*i**2.
2*(i - 144)*(i - 1)/15
Factor -2560*b + 469*b**2 - 88*b**2 + 5136 - 385*b**2.
-4*(b - 2)*(b + 642)
Suppose 56 = 4*g, 5*r - r - 6*g = 1408 + 76. Determine v, given that -r - 1/8*v**2 - 14*v = 0.
-56
Factor 10368*y + 4*y**3 + 14522 + 79*y**2 + 259*y**2 + 58*y**2 + 13126.
4*(y + 3)*(y + 48)**2
Let c(i) = -10*i**2 + 3*i + 2727. Let y(k) = 5*k**2 - k - 1364. Let t(d) = 4*c(d) + 7*y(d). Suppose t(a) = 0. What is a?
-16, 17
Factor 337/3*p - 56 + 1/3*p**3 - 170/3*p**2.
(p - 168)*(p - 1)**2/3
Let g = -308 + 275. Let w = g + 35. Factor -1/4*k**w + 0 - 3/4*k.
-k*(k + 3)/4
Let c(t) = t**2 + 3366*t - 944203. Let q(h) = h**2 + 6732*h - 1888396. Let p(f) = -7*c(f) + 4*q(f). Solve p(w) = 0 for w.
561
Let q(i) be the first derivative of -4*i**3 - 15/2*i**6 + 0*i**2 - 93/5*i**5 - 9 + 0*i - 15*i**4. Solve q(m) = 0.
-1, -2/3, -2/5, 0
Let t be -21 - (-2)/(5262/327 + -16). Suppose 112/5*i + 32/5*i**3 - t*i**4 - 92/5*i**2 - 48/5 = 0. Calculate i.
1, 2, 3
Find w such that 222*w + 233*w - 728*w + 240*w - 108 + w**2 + 0