*u**2. Find g such that i(g) = 0.
0, 1, 2, 33
Let t = 27 + 9. Let o be (-18)/t + 46/4. Let m(f) = 9*f**3 + 8*f**2 - 11*f. Let v(n) = -5*n**3 - 4*n**2 + 6*n. Let s(d) = o*v(d) + 6*m(d). Factor s(w).
-w**2*(w - 4)
Let k be 4/130 + 99696/4680. Suppose 3*u - 2*u + 3*q = 18, 0 = -4*u + 5*q - 13. Factor -4/3*g**u + 8*g**2 - 2/3*g**4 + 80/3*g + k.
-2*(g - 4)*(g + 2)**3/3
Let d = 565 - 572. Let p be (16/672*d)/((-1)/24). Factor 0*j**3 - 1/2*j - 3/4*j**2 + 0 + 1/4*j**p.
j*(j - 2)*(j + 1)**2/4
Let l = 107273 - 107271. Factor -1/2*n**l + 5 - 9/2*n.
-(n - 1)*(n + 10)/2
Let -2/21*x**2 - 3064/21 - 146*x = 0. What is x?
-1532, -1
Let d(w) be the third derivative of -3*w**4/8 - 43*w**3/6 + 305*w**2. Let j be d(-5). Let 2*g**j + 2/3*g**3 + 2/3 + 2*g = 0. What is g?
-1
Suppose 62*y = 33*y + 87. Let -68/5*j**2 - 16/5 + 34/5*j**y - 6/5*j**4 + 56/5*j = 0. Calculate j.
2/3, 1, 2
Let x(c) = 6*c**2 + 11*c + 8. Let g be x(-2). Determine b, given that -7*b**2 + 6*b**4 - 7*b**5 + b**2 + g*b**5 - 3*b = 0.
-1, 0, 1
Let g be (2/(-4))/((-44)/(-24) - 2). Factor 96*r**2 - 160*r**2 - 4*r**g + 0*r**3.
-4*r**2*(r + 16)
Factor -36*n - 1383 + 309 + 2*n + n**2 + n + 416.
(n - 47)*(n + 14)
Let b be ((-69)/((-222525)/150) - (-856)/86) + -7. Suppose -2/15*r**b + 4/5 + 2/15*r**4 + 2/15*r - 14/15*r**2 = 0. Calculate r.
-2, -1, 1, 3
Let y(i) be the third derivative of i**5/210 - 41*i**4/28 + 122*i**3/21 + 1428*i**2. Factor y(p).
2*(p - 122)*(p - 1)/7
Suppose k = -4*k + 20. Suppose -1 = k*p - 17. Let -p*i**2 - 16*i - 8*i**2 + 4 + i**2 - 9*i**2 = 0. Calculate i.
-1, 1/5
Let w = 1576 + -1572. Let b(m) be the second derivative of 5*m + 0 + 2/3*m**2 - 1/30*m**5 + 1/9*m**3 - 1/9*m**w. Solve b(a) = 0.
-2, -1, 1
Let c = 467 - 463. Solve 8 + 13 - 9 - 16*l + c*l**2 = 0 for l.
1, 3
Let l = 318 - 314. Let o(q) = -19*q + 79. Let t be o(l). Determine d so that 57/5*d**4 - 21/5*d**5 + 39/5*d**t - 18/5*d + 0 - 57/5*d**2 = 0.
-1, -2/7, 0, 1, 3
Let c(f) be the first derivative of 4*f**5/5 - 8*f**4 - 4*f**3 + 52*f**2 - 64*f - 203. Factor c(y).
4*(y - 8)*(y - 1)**2*(y + 2)
Let y(q) = 4226 - 53*q - 4421 - 92*q + 20*q**2. Let j(v) = 3*v**2 - 21*v - 28. Let x(g) = 15*j(g) - 2*y(g). Factor x(r).
5*(r - 6)*(r + 1)
Let v(f) = -6*f**3 + f**2 + f - 2. Let o be v(2). Let i = o - -49. What is u in u + 3*u**4 + 2 - 3*u**2 + 0*u**4 + 4*u**3 - 2*u**4 - i*u**3 = 0?
-1, 1, 2
Let p(v) be the first derivative of -13 - 12*v + 0*v**2 - 5/28*v**4 - 3/14*v**3. Let l(i) be the first derivative of p(i). Let l(n) = 0. Calculate n.
-3/5, 0
Suppose -835*m + 881*m - 138 = 0. Let w(a) be the second derivative of 38*a + 0 + 1/12*a**4 - 1/6*a**m - a**2. Factor w(u).
(u - 2)*(u + 1)
Let a be (318/36)/1 + (-355)/(-213). Let -a*u**3 - 3/2*u**5 - 21/2*u**4 - 24 + 12*u + 69/2*u**2 = 0. Calculate u.
-4, -1, 1
Let y(m) be the second derivative of m**5/150 - 7*m**4/60 - 123*m**2/2 + 2*m - 16. Let z(s) be the first derivative of y(s). Factor z(c).
2*c*(c - 7)/5
Let o be 0 + 12 - (8 - 3). Solve o*k + 0*k**2 - 21*k**2 - 15 + 3*k**3 + 26*k = 0 for k.
1, 5
Suppose 0 = -816*g + 835*g - 23807. Let h = -2499/2 + g. Factor h*b**2 - 13*b - 4.
(b - 4)*(7*b + 2)/2
Let w(p) be the first derivative of -p**3/15 - 2537*p**2/5 - 6436369*p/5 + 5792. Factor w(z).
-(z + 2537)**2/5
Suppose 4*l - 56 = -4*h + 8*h, 5*h + 82 = -l. Let b be -3 + (-76)/h + (-15)/(-60). Factor -32/9*x - 64/9 - 4/9*x**b.
-4*(x + 4)**2/9
Suppose 61 = -15*b - 44. Let p = 19/2 + b. Factor -5/4*y**5 - 5/4*y**3 - p*y**4 + 0*y + 0 + 0*y**2.
-5*y**3*(y + 1)**2/4
Factor 2/7*h**2 - 522/7*h + 1548/7.
2*(h - 258)*(h - 3)/7
Let w(c) be the second derivative of c**5/25 - 74*c**4/15 - 616*c**3/15 - 624*c**2/5 - 6*c + 91. Factor w(g).
4*(g - 78)*(g + 2)**2/5
Let x = -11096 + 11099. Let b(m) be the third derivative of 0*m - 7*m**2 + 1/240*m**6 - 1/40*m**5 - 1/48*m**4 + 0 + 1/4*m**x. Factor b(t).
(t - 3)*(t - 1)*(t + 1)/2
Let h(g) be the third derivative of -5 - 7*g**2 + 0*g - 1/15*g**5 + 28/3*g**4 - 1568/3*g**3. Factor h(j).
-4*(j - 28)**2
Let h(t) = -9*t**2 - 27*t + 57. Let g be h(-8). Let q be 10 + g/15 + 11. Factor 2/5*n**2 - q*n + 2/5.
2*(n - 1)**2/5
Let u(n) be the third derivative of -n**8/336 + 2*n**7/105 + n**6/10 + n**5/30 - 11*n**4/24 - n**3 + 73*n**2 + 3. Let u(k) = 0. Calculate k.
-1, 1, 6
Let t(h) be the first derivative of h**5/20 - 13*h**4/16 - h**3/12 + 13*h**2/8 + 1476. Factor t(i).
i*(i - 13)*(i - 1)*(i + 1)/4
Suppose 0 = 5*x - a - 2, -2*x - 32791 = -2*a - 32771. Solve -2*n**2 + 8/3 - 6*n + 5/6*n**x = 0.
-2, 2/5, 4
Suppose -12*s + 10 = -11*s. Factor 13 + 533*q**2 + 911*q**2 + s + 3260*q**3 + 2300*q**4 + 500*q**5 - 7 + 256*q.
4*(q + 2)**2*(5*q + 1)**3
Factor 1/2*y**2 + 2401/2 + 49*y.
(y + 49)**2/2
Let k(b) be the second derivative of b**4/42 - 10*b**3/7 + 225*b**2/7 - 3993*b. Determine c so that k(c) = 0.
15
Let l(y) = 3*y**4 + 9*y**3. Let u(j) be the first derivative of 3*j**5/5 + 5*j**4/2 - j**3/3 + 275. Let n(r) = -4*l(r) + 3*u(r). Factor n(c).
-3*c**2*(c + 1)**2
Let h(j) be the first derivative of -200/3*j**2 + 160/3*j**3 + 0*j + 4/15*j**5 - 21 - 7*j**4. Factor h(d).
4*d*(d - 10)**2*(d - 1)/3
Let b be (10/(-3))/((-14070)/1206). Factor -22/7 - b*m**2 + 24/7*m.
-2*(m - 11)*(m - 1)/7
Let t(u) = 2*u**3 + 2*u - 450. Let z be t(0). Let r be (z/125)/(6/(-20)). Suppose -46*c - r - 2*c**2 + 376*c**4 + 0 - 362*c**4 + 46*c**3 = 0. Calculate c.
-3, -1, -2/7, 1
Let q(w) be the first derivative of -w**3/9 - 38*w**2/3 - 96*w - 11508. Factor q(t).
-(t + 4)*(t + 72)/3
Let t = 248 + -215. Factor 12*s**4 + t*s**2 + 11*s**4 + 18*s + 18*s**3 - 20*s**4.
3*s*(s + 1)*(s + 2)*(s + 3)
Let k(w) be the first derivative of -34 - 15*w - 2*w**2 + 0*w**3 + 1/3*w**4. Let l(j) be the first derivative of k(j). Solve l(b) = 0.
-1, 1
Let a(b) be the third derivative of -11/6*b**4 - 1/30*b**6 - 2/5*b**5 + 0 - 4*b**3 + 46*b**2 + 0*b. Factor a(i).
-4*(i + 1)*(i + 2)*(i + 3)
Let g be 2*8838/168*2. Let c = 211 - g. Factor c*k + 2/7 + 2/7*k**2.
2*(k + 1)**2/7
Let l be (-126)/21*4/3. Let s be 2/l - (-2730)/2600. Solve -s - 2/5*w**2 - 6/5*w = 0 for w.
-2, -1
Factor 4*f**2 - 108 - 303*f - 46*f - 311*f + 108.
4*f*(f - 165)
Let w(u) = -u**3 - 3*u**2 - 4*u - 10. Let j be w(-3). Suppose -50 - 2 + 130*l - 29 - 3*l**j - 46*l = 0. What is l?
1, 27
Let c(n) = -5*n**3 + 4*n**2 + 91*n + 150. Let p(o) = 5*o**3 - 5*o**2 - 90*o - 150. Let s(t) = -5*c(t) - 4*p(t). Determine g, given that s(g) = 0.
-3, -2, 5
Let c(n) be the third derivative of -n**8/336 + 38*n**7/15 - 11881*n**6/20 + 7049*n**5/3 - 70225*n**4/24 + 2*n**2 + 343. Factor c(y).
-y*(y - 265)**2*(y - 1)**2
Let v be 4/20 + (11 - 988/90). Factor -8/9*d**3 + 0*d + 0*d**2 - v*d**5 - 10/9*d**4 + 0.
-2*d**3*(d + 1)*(d + 4)/9
Let d = -334 - -337. Factor 70*y**d + 226*y**2 + 13*y**4 - 18*y**4 - 226*y**2.
-5*y**3*(y - 14)
Let -4689*v - 328*v**2 + 4*v**4 - 54*v**3 + 114*v**3 - 5760 - 1455*v = 0. Calculate v.
-12, -1, 10
Let b be 5/(-49 + 86 + -32). Factor 7/2*p + b + 7/2*p**2 + p**3.
(p + 1)*(p + 2)*(2*p + 1)/2
Let t(m) = m**2 - 5*m - 12. Let b be t(-12). Determine i so that -b*i + 128 + i**3 + 4*i**5 + 31*i**3 - 7*i**4 + 64*i**2 + 2*i**4 - 19*i**4 = 0.
-2, 2
Let m be 23724/100827 + (-2)/(-170)*694. Let 8 - m*v + 2/5*v**2 = 0. Calculate v.
1, 20
Factor -1/5*a**2 + 9/5*a + 112/5.
-(a - 16)*(a + 7)/5
Suppose -12*j - 4*z = -z - 45, 4*j - z = 17. Let w(y) be the second derivative of 1/48*y**j + 0*y**2 - 29*y + 0 - 1/12*y**3. Factor w(b).
b*(b - 2)/4
Suppose -5*z + 25 = 3*r, 5 = -0*r - r + 5*z. Find y such that -r*y**3 + 380*y - 212 + y**3 - 36*y + 76*y - 204*y**2 = 0.
-53, 1
Suppose -168 = -28*h + 22*h. Let -h*d**2 + 4*d**4 + 32*d**2 - 2*d**4 - 6*d**3 = 0. What is d?
0, 1, 2
Let i(p) be the third derivative of -p**5/180 - 329*p**4/9 - 865928*p**3/9 + p**2 - 1076. Suppose i(y) = 0. Calculate y.
-1316
Let 37*t**3 - 126*t**5 - 228*t - 77*t**3 + 34*t**3 + 114*t**4 + 128*t**5 - 346*t**2 = 0. Calculate t.
-57, -1, 0, 2
Let k(u) = -2*u**3 + 958*u**2 - 118080*u + 345596. Let o(a) = -8*a**3 + 3828*a**2 - 472320*a + 1382382. Let m(n) = 9*k(n) - 2*o(n). Solve m(y) = 0.
3, 240
Let a be 676/(-2366)*(2 + (-50)/4). Solve 27/2*b**2 + 45/2*b + 3/2*b**a - 75/2 = 0.
-5, 1
Factor -2/5*v**3 + 0 - 3*v**2 - 28/5*v.
-v*(v + 4)*(2*v + 7)/5
Let r(j) be the first derivative of -j**5 - 15*j**4 + 80*j**3 + 1400*j**2 - 600