*i**4/12 - 440*i**3/3 - 2*i**2 + 3*i + 370. Factor l(t).
5*(t - 8)*(t + 22)
Suppose 2*s - 98 = 6*s - 2*z, 5*s + 100 = -2*z. Let o = s - -26. Factor 6*u**o + 97*u - u**4 - 87*u - 5 - 10*u**3.
5*(u - 1)**3*(u + 1)
Suppose -9*b + 3 - 111/4*b**2 + 135/4*b**3 = 0. Calculate b.
-2/5, 2/9, 1
Let h = -15979 - -31959/2. Let n(k) be the first derivative of h*k**2 - 43 - 2/25*k**5 - 3/5*k**3 - 1/5*k + 7/20*k**4. Factor n(z).
-(z - 1)**3*(2*z - 1)/5
Let c = 70 + -74. Let t be 5/(-4)*c/30. Let 0 + 1/6*y**2 + t*y**3 + 0*y = 0. Calculate y.
-1, 0
Let z(i) be the third derivative of 0 + 10*i**4 + 1/336*i**8 + 56/3*i**3 + 10/3*i**5 + 1/14*i**7 - 12*i**2 + 0*i + 2/3*i**6. Factor z(a).
(a + 2)**4*(a + 7)
Let m(y) be the first derivative of -5*y**3/3 - 800*y**2 + 1605*y + 1460. Factor m(q).
-5*(q - 1)*(q + 321)
Let z be 0/1424*1/(-5). Factor 15/4*x**2 + z - 1/4*x**3 + 0*x.
-x**2*(x - 15)/4
Suppose 75 = -10*g - 95. Let z = g + 20. Factor 7*p - p**z + 2*p**2 - 5*p - p + 2*p**3.
p*(p + 1)**2
Let z(j) = j**2 + 8*j + 2. Let s be z(-8). Suppose 4*r = k - 2, k + s = 2*k + 5*r. Factor -3*w**3 - 15*w**k + 3*w**2 + 3*w**2 - 6*w.
-3*w*(w + 1)*(w + 2)
Let k(h) = -h**5 - h**4 + 3*h**3 - h + 3. Let b(u) = -2*u**5 + 786*u**4 + 10*u**3 - 1584*u**2 - 2*u + 810. Let t(q) = b(q) - 6*k(q). Let t(z) = 0. What is z?
-198, -1, 1
Let k(u) be the first derivative of u**5/10 + 77*u**4/2 + 12011*u**3/3 + 11781*u**2 + 23409*u/2 + 42. Factor k(v).
(v + 1)**2*(v + 153)**2/2
Let k(g) be the second derivative of -g**4/24 - 109*g**3/12 + 24*g + 33. Factor k(x).
-x*(x + 109)/2
Let m(k) be the first derivative of -k**8/420 + k**7/42 - k**6/10 + 7*k**5/30 - k**4/3 - 40*k**3 + 57. Let c(x) be the third derivative of m(x). Solve c(g) = 0.
1, 2
Let l(h) be the first derivative of -2*h**5/35 + 64*h**4/7 - 8444*h**3/21 + 1152*h**2 - 1134*h + 1512. Factor l(o).
-2*(o - 63)**2*(o - 1)**2/7
Let l(t) be the second derivative of -185*t - 45/2*t**2 - t**3 - 1/60*t**4 + 0. Factor l(s).
-(s + 15)**2/5
Let i(g) be the second derivative of -686/15*g**3 + 49/10*g**4 + 2 + 9*g + 2401/10*g**2 + 1/150*g**6 - 7/25*g**5. What is p in i(p) = 0?
7
Let l(q) be the second derivative of -q**7/210 + 7*q**6/150 - q**5/20 - 7*q**4/60 + q**3/5 - 5*q - 85. Let l(f) = 0. What is f?
-1, 0, 1, 6
Let s = 1687/351 - 82/27. Let p = s + -89/65. Factor 32/5 + 12/5*t**3 - 48/5*t + 2/5*t**4 + p*t**2.
2*(t - 1)**2*(t + 4)**2/5
Let f(u) = 8*u**2 - 14*u - 10. Let w(a) be the third derivative of 7*a**5/60 - 13*a**4/24 - 5*a**3/3 - 7*a**2 + 5. Let m(z) = 5*f(z) - 6*w(z). Factor m(v).
-2*(v - 5)*(v + 1)
Let a be (569154/5278 - 103) + (-12)/(-39). Solve -32/7*w**3 + 72/7*w + 0 + a*w**2 + 4/7*w**4 = 0 for w.
-1, 0, 3, 6
Suppose 5*l + 9 = 3*s, -s + 3 + 0 = 5*l. Factor m**s + 35*m**3 + 64*m**3 + 168*m**4 + 4*m**5 - 136*m**4 + 152*m**2 + 32 + 112*m.
4*(m + 1)**2*(m + 2)**3
Factor 1360*k**2 - 181548*k - 7319*k**3 + 116*k**2 + 7316*k**3.
-3*k*(k - 246)**2
Factor 1/4*h**2 + 0 + 79*h.
h*(h + 316)/4
Let k be 190/(-114)*(-90)/175. Find r such that -6/7*r**2 - 2/7 - k*r - 2/7*r**3 = 0.
-1
Let q(o) be the second derivative of o**6/5 + 7*o**5/10 - 3*o**4 + 8*o**3/3 - 8*o + 100. Determine i so that q(i) = 0.
-4, 0, 2/3, 1
Let x = 124 - 116. Suppose -16*s**5 - x*s**2 - 12*s**3 + 26*s**5 - 6*s + 8*s**4 + 8*s = 0. Calculate s.
-1, 0, 1/5, 1
Find l such that 117/5*l + 36 - 62/5*l**2 + 1/5*l**3 = 0.
-1, 3, 60
Factor 13824/7 + 54/7*n**4 + 3/7*n**5 - 576*n + 171/7*n**3 - 1272/7*n**2.
3*(n - 3)**2*(n + 8)**3/7
Let y(a) be the third derivative of -a**8/84 - 22*a**7/15 + 79*a**6/15 - 2*a**5/15 - 157*a**4/6 + 158*a**3/3 - 44*a**2 + a - 24. Factor y(g).
-4*(g - 1)**3*(g + 1)*(g + 79)
Let v(d) be the first derivative of -d**4/2 - 550*d**3/3 - 547*d**2 - 546*d + 4538. Determine f, given that v(f) = 0.
-273, -1
Let z = 334069/4 - 82869. Let d = 649 - z. Factor -d*t**2 + 9/4*t - 3/2.
-3*(t - 2)*(t - 1)/4
Let s(c) be the third derivative of c**6/320 - 57*c**5/16 + 2673*c**2. Determine y, given that s(y) = 0.
0, 570
Let h = 25 - 17. Let x = 610 - 604. Factor h + 21*z + x*z**2 - z + 8*z**2 + 3*z**3.
(z + 2)**2*(3*z + 2)
Let l be (-6)/(-8) + -3 + (-126)/(-24). Let q(v) be the first derivative of -24*v + 19*v**2 + 2*v**3 - 33*v**2 + v**l + 37 + v**3. Find g, given that q(g) = 0.
-2/3, 3
Let z(d) = 2*d**3 + 22*d**2 + 2*d + 25. Let l be z(-11). Let t be (76/114 - 5/3) + l. Factor 1/8*j**t + 1/2 + 5/8*j.
(j + 1)*(j + 4)/8
Let m(a) = -16*a - 1040. Let f be m(-66). Let t(i) be the first derivative of -16 + 1/2*i**4 - f*i + 12*i**2 - 4*i**3. Find y, given that t(y) = 0.
2
Suppose -14076*t**4 + 49651*t**2 - 314040*t**2 - 156240*t**2 + 2360745*t**3 - 252721*t**2 + 21*t**5 = 0. What is t?
0, 2/7, 335
Let c = -20517 - -55873. Determine s so that 1331 - 14980 - c - 906*s - 3*s**2 - 2*s**2 - 84*s = 0.
-99
Determine g so that 114*g**3 - 213*g**5 - 1176 - 255*g**2 + 211*g**5 - 54*g**2 - 37*g**2 - 1624*g + 10*g**4 = 0.
-6, -2, -1, 7
Let f be 24 + -20 - (0 - 15126/45). Let c = f - 340. Suppose 4/15*z**2 - c*z**3 + 0*z + 0 = 0. Calculate z.
0, 2
Let y = 7978/3173 - 48/19. Let l = y + 171/334. Factor -3/2*b - 2 + l*b**2.
(b - 4)*(b + 1)/2
Let x(z) = z + 19. Suppose 51 = 3*w - 6*w. Let n be x(w). Solve -7*f**2 + 34*f**2 - 4*f**4 - 9 - 9*f**3 - n*f**4 - 3*f = 0 for f.
-3, -1/2, 1
Let g(x) be the third derivative of x**6/24 - 11*x**5/120 - x**4/6 + 3*x**3/4 - 854*x**2. Factor g(d).
(d - 1)**2*(10*d + 9)/2
Factor -62*l + 223 + 478*l + 625 - 4*l**2.
-4*(l - 106)*(l + 2)
Let u(a) = -a**3 - 2*a**2 + a - 375. Let x be u(0). Let t be x/(-20) + (-12)/16. Factor 3*m**3 + 144*m - t*m**2 + 6*m**2 - 132*m.
3*m*(m - 2)**2
Suppose 296*o**2 + 287*o**2 + 20*o - 607*o**2 = 0. Calculate o.
0, 5/6
Let v(t) be the third derivative of -t**5/60 - t**3/6 - t**2 - 21. Let x(n) = 44*n + 240. Let o(m) = -2*v(m) + x(m). Factor o(g).
2*(g + 11)**2
Let s be (-3)/6 + 18/4 - (21 - 20). Solve 18/5 - 3/5*h**4 + 21/5*h**2 + 39/5*h - 3/5*h**s = 0 for h.
-2, -1, 3
Let c(u) be the second derivative of -u**5/120 + 257*u**4/36 - 66049*u**3/36 + 914*u. Determine h, given that c(h) = 0.
0, 257
Let w(d) be the first derivative of -7*d**6/3 + 102*d**5/5 - 7*d**4/2 - 34*d**3 + 14*d**2 - 1610. Determine k so that w(k) = 0.
-1, 0, 2/7, 1, 7
Let y = 91 + -78. Suppose 3*g = -2*g + 5, 0 = 5*t + 3*g - y. Solve -3*z**3 + t*z**4 - 5*z**4 - 21*z**3 - 54*z**2 + 81 = 0 for z.
-3, 1
Let q(l) be the first derivative of 3*l**4/8 - 7*l**3 + 30*l**2 - 8104. Find y such that q(y) = 0.
0, 4, 10
Factor 3/7*y**2 - 258/7 - 255/7*y.
3*(y - 86)*(y + 1)/7
Let s be 1836/442 - 6/39. Let q(g) be the second derivative of -1/36*g**3 + 0 + 11*g - 1/12*g**2 + 1/36*g**s + 1/60*g**5 - 1/180*g**6 - 1/252*g**7. Factor q(w).
-(w - 1)**2*(w + 1)**3/6
Let r(a) be the second derivative of a**6/480 - a**5/120 - a**4/96 + a**3/12 + 73*a**2 + 2*a + 7. Let q(d) be the first derivative of r(d). Factor q(m).
(m - 2)*(m - 1)*(m + 1)/4
Let a(y) = 6*y + 12*y - 12 - 2*y**2 - 4*y**2. Let t(c) = 8*c + 3430*c**2 - 3433*c**2 - 6 + c. Let d(o) = 2*a(o) - 5*t(o). Find m such that d(m) = 0.
1, 2
Let f(g) be the second derivative of 0 - 19/9*g**3 + 361/6*g**2 - 20*g + 1/36*g**4. What is z in f(z) = 0?
19
Let l(h) be the first derivative of 2/3*h - 8/3*h**4 + 16/3*h**3 - 3*h**2 + 2. Determine q so that l(q) = 0.
1/4, 1
Let p be 2/((-22)/4 - -5) + 66. Factor 17*i**2 - 77*i**2 - 50 - 105*i + p*i**3 - 67*i**3.
-5*(i + 1)**2*(i + 10)
Let i(r) be the third derivative of r**6/660 - 551*r**5/110 + 303601*r**4/44 - 167284151*r**3/33 - 666*r**2 - 2. Factor i(q).
2*(q - 551)**3/11
Let m(t) = 15*t**3 + 9940*t**2 + 19485*t + 9760. Let u(k) = -2*k**3 - 1242*k**2 - 2436*k - 1220. Let d(n) = -3*m(n) - 25*u(n). Determine v so that d(v) = 0.
-244, -1
Let p(w) be the first derivative of 2*w**5/45 + 5*w**4/6 + 38*w**3/27 - 29*w**2/3 + 104*w/9 + 1896. Solve p(j) = 0 for j.
-13, -4, 1
Suppose -3*d + 3*o + 174 = 0, -3*o + o = -10. Factor d*m - 22*m - 4*m**2 - 25*m.
-4*m*(m - 4)
Let z(m) = -m**4 - m**3 + m**2 - 1. Let x(l) = 75 - 85 - 3*l**2 - 94*l**3 + 45*l**2. Let p(a) = -x(a) + 10*z(a). Factor p(k).
-2*k**2*(k - 8)*(5*k - 2)
Factor -1552/3*c**3 - 1556*c**2 + 2/3*c**4 - 4672/3*c - 1558/3.
2*(c - 779)*(c + 1)**3/3
Let o(i) = 11*i**4 + 80*i**3 + 209*i**2 - 486*i + 14. Let w(d) = -12*d**4 - 82*d**3 - 208*d**2 + 486*d 