ive of -1/35*a**5 + 0*a**3 - 2/7*a**2 + 0*a + 3/28*a**x - 10. Factor u(n).
-n*(n - 2)**2*(n + 1)/7
Suppose -5*s + a = 5 - 9, -3*a = -3*s. Let c be ((-102)/(-9) - s) + (-12 - -5). Factor 2/3*w**3 - 26/3*w - 14/3 - c*w**2.
2*(w - 7)*(w + 1)**2/3
Suppose -5*d = -168 - 72. Suppose x = -5*x + d. Find t such that -18*t**3 + 55*t - 87*t + x + 11*t**2 + 31*t**2 = 0.
2/3, 1
Factor 231/5*x**2 + 1/5*x**3 + 46*x + 0.
x*(x + 1)*(x + 230)/5
Let 302*z**3 - 3*z**5 - 651*z**3 - 108*z + 35*z**4 - 180*z**2 + 310*z**3 - 5*z**4 = 0. Calculate z.
-1, 0, 6
Let k(i) = 7*i**4 + 109*i**3 - 124*i**2 - 281*i + 22. Let u(c) = -c**4 - 22*c**3 + 25*c**2 + 56*c - 4. Let j(a) = 2*k(a) + 11*u(a). Factor j(g).
3*g*(g - 6)*(g - 3)*(g + 1)
Let l(q) be the second derivative of 5/42*q**7 + 0*q**4 + 0 + 0*q**2 + 165*q + 1/2*q**6 + 1/2*q**5 + 0*q**3. Let l(m) = 0. What is m?
-2, -1, 0
Let n = -146/195 + -589097/1560. Let s = -378 - n. Suppose -3/2*u + 15/8*u**2 - s*u**3 + 0 = 0. What is u?
0, 1, 4
Let d(l) = 5*l**2 + 29*l + 13. Let o be d(-6). Suppose 3 - 41 = -o*a. Factor 4/3*q**4 - 8/3*q + 0 + 20/3*q**a - 16/3*q**3.
4*q*(q - 2)*(q - 1)**2/3
Factor 110*d - 1/2*d**2 - 6050.
-(d - 110)**2/2
Let b(c) be the third derivative of c**7/945 + 7*c**6/540 - 17*c**5/90 - 67*c**4/108 + 110*c**3/27 + 2016*c**2. Solve b(q) = 0.
-11, -2, 1, 5
Let s = 83 + -71. Suppose 0 = 4*q + s, -2*z - 2*q + 10 = -4*q. Solve -2*a - 4*a**z - 2*a**5 + 4 + 4*a**2 + 0*a + 4*a**3 + 4*a**4 - 8*a**2 = 0 for a.
-1, 1, 2
Let r(s) be the second derivative of s**6/30 - 1379*s**5/20 + 211599*s**4/4 - 32655555*s**3/2 + 96702579*s**2 - 3610*s. Factor r(h).
(h - 459)**3*(h - 2)
Let a(j) be the third derivative of 0*j + 145*j**2 + 2*j**5 + 21/2*j**4 + 64/3*j**3 - 1/30*j**6 + 0. Find q, given that a(q) = 0.
-1, 32
Let k(j) be the first derivative of 25*j + 1/2*j**4 + 13 + 0*j**2 - 3/20*j**5 + 3/2*j**3. Let i(s) be the first derivative of k(s). Find y such that i(y) = 0.
-1, 0, 3
Let k(f) be the second derivative of f**4/48 - 25*f**3/8 - 77*f**2/4 + 1133*f. Factor k(y).
(y - 77)*(y + 2)/4
Let c = 2/2179 + 17354/84981. Let x = c + 58/13. Factor -2 - 10/3*p**2 - 2/3*p**3 - x*p.
-2*(p + 1)**2*(p + 3)/3
Let c = -74 - -92. Suppose c*f = 27*f - 27. Solve 41 + 7*o**f - 3*o - 33 + 30*o**2 + 39*o = 0.
-2, -2/7
Let r(h) be the first derivative of -2*h**5/25 - h**4 + 22*h**3/15 + 158. Factor r(p).
-2*p**2*(p - 1)*(p + 11)/5
Suppose 2*r + 8 = 6*h, 2*h - 5*r = -107 + 101. Let 4/3 + 28*t + 481/3*t**h + 100/3*t**4 + 140*t**3 = 0. What is t?
-2, -1/10
Let z = -486629/171 + 49398/19. Let j = z + 246. Find f such that -2/9*f - j*f**3 - 1/3*f**2 + 0 = 0.
-2, -1, 0
Let z be (-360)/(-100)*75/(-42). Let i = 509/77 + z. Let 0 - 8/11*s**2 + i*s**3 + 8/11*s = 0. What is s?
0, 2
Let o = 330 - 328. Factor -25922*f**o - 2*f**3 + 1 + 25914*f**2 - 6*f - 1.
-2*f*(f + 1)*(f + 3)
Let a(l) be the second derivative of -l**7/273 + 4*l**6/195 + 2*l**5/65 - 17*l**4/39 + 15*l**3/13 - 18*l**2/13 + 631*l. What is x in a(x) = 0?
-3, 1, 2, 3
Factor 997 + 70*b**2 + 1215 - 75857*b**3 - 1000 + 75862*b**3 - 935*b + 1088.
5*(b - 5)*(b - 4)*(b + 23)
Suppose -6 = -4*y - 0*y + 2*a, 4*y + a = 15. Factor -128*b**3 - 15*b + 18*b**2 + 64*b**y + 61*b**3 - 9*b.
-3*b*(b - 4)*(b - 2)
Let m(v) = -v**2 + 14*v - 2. Let j(a) = a**2 - 14*a + 1. Let z(d) = -5*j(d) - 4*m(d). Let h be z(14). Factor 142*p**2 + 1 - 3*p**h - 145*p**2 + 3*p + 2.
-3*(p - 1)*(p + 1)**2
Let q(c) be the second derivative of -c**6/60 + 19*c**5/20 - 107*c**4/24 + 35*c**3/6 - 4710*c. Suppose q(w) = 0. Calculate w.
0, 1, 2, 35
Solve -5*i + 387*i**2 + 419*i**2 + 4*i + 391*i**2 + i**3 - 64 - 1133*i**2 = 0 for i.
-64, -1, 1
Let o(w) = w**3 - 4*w**2 - 34*w - 8. Let z(k) = -k**3 - 7*k**2 + 77*k - 17. Let v be z(-13). Let f be o(v). Factor -4/3*g**2 - 2/9*g**3 + f - 16/9*g.
-2*g*(g + 2)*(g + 4)/9
Let n(s) be the second derivative of -s**9/10584 - s**8/1960 - s**7/1470 + s**3/6 - 89*s**2/2 - s - 25. Let y(w) be the second derivative of n(w). Factor y(l).
-2*l**3*(l + 1)*(l + 2)/7
Let t(l) = -l**2 - 33*l - 39. Let m be t(-18). Determine b, given that b**2 - 3*b**2 - 118 + 5*b**2 - 117 + b**3 + m = 0.
-2, 1
Let m be -3 + (-1)/(-1)*(10 + -7). Let p(d) = -2*d + 2. Let x be p(m). Determine s so that -512 + 6*s + 3*s**2 - 2*s**x + 517 = 0.
-5, -1
Let o(b) = 55*b**2 + 615*b + 1205. Let i(k) = -10*k**2 - k - 1. Let j(q) = -5*i(q) - o(q). Factor j(h).
-5*(h + 2)*(h + 120)
Factor -87*u + 105*u - 134*u**2 + 160*u - 48 - 8*u**3 - 4 + 16.
-2*(u - 1)*(u + 18)*(4*u - 1)
Factor -54*m**3 + 370*m**2 - 13*m - 5*m**4 - m**3 - 467*m.
-5*m*(m - 3)*(m - 2)*(m + 16)
Let k(o) be the third derivative of -1/60*o**5 + 0 + 3/2*o**3 + 0*o + 9*o**2 + 1/3*o**4. Factor k(r).
-(r - 9)*(r + 1)
Let y = -451/15540 + 5/148. Let i(x) be the third derivative of 1/420*x**6 + 0 + 0*x**3 + 16*x**2 + 1/735*x**7 - 1/84*x**4 - y*x**5 + 0*x. Factor i(l).
2*l*(l - 1)*(l + 1)**2/7
Let z(w) be the second derivative of w**4/16 - 65*w**3/8 - 153*w**2/2 + 3*w - 49. Solve z(d) = 0 for d.
-3, 68
Let l(h) be the third derivative of -1/6*h**3 - 1/60*h**5 + 0*h + 0 - 167*h**2 + 1/12*h**4. Factor l(x).
-(x - 1)**2
Suppose -4983*z + 3*o = -4980*z + 12, 0 = -3*z + 5*o - 28. Factor -24*n**2 + 554/5*n**3 + 8/5*n + 0 - 156*n**z + 338/5*n**5.
2*n*(n - 1)**2*(13*n - 2)**2/5
Let g be 12*(-6)/(-120) - (-126)/15. Suppose g*n - 11 = 7. What is x in n*x**2 - 18/5*x - 4/5 = 0?
-1/5, 2
Let m(k) = 5*k**2 - 3*k + 14. Let r be m(-3). Determine o so that -32*o**3 + 32*o**2 + 40 + 100*o**3 - r*o - 38*o**3 - 34*o**3 = 0.
1, 2, 5
Let v(g) be the first derivative of -g**4/7 - 16*g**3/21 + 24*g**2/7 - 1354. Suppose v(u) = 0. What is u?
-6, 0, 2
Let h be (-4)/(-26) + (-22456)/(-52). Suppose i + 3*i - h = 0. Determine w so that 0*w**3 + 81*w + 147 + 3*w**3 + i*w + 45*w**2 = 0.
-7, -1
Let h be (22/24)/(165*13/1755). Suppose h*q + 0 + 3/4*q**2 = 0. Calculate q.
-1, 0
Let r(b) = -31*b + 220. Let f be r(7). Let 80*i**2 + 55*i**4 + 65*i**2 - 30*i + 29*i**5 - 185*i**f - 35*i**5 + 21*i**5 = 0. What is i?
-6, 0, 1/3, 1
Let b(f) be the second derivative of -f**6/6 + 11*f**5/2 - 35*f**4 - 55*f**3/3 + 425*f**2/2 - 102*f + 37. Determine l so that b(l) = 0.
-1, 1, 5, 17
Suppose 3380 - 1140 = -40*d. Let l = d - -56. Factor l + 2/13*x**2 + 4/13*x - 2/13*x**3.
-2*x*(x - 2)*(x + 1)/13
Let b(u) be the first derivative of -2*u**3/27 - 74*u**2/9 - 146*u/9 + 856. Factor b(s).
-2*(s + 1)*(s + 73)/9
Suppose 2630 - 12170 = -12*g. Let r = -791 + g. Determine w, given that 4/9*w**5 + 8/9*w**2 - 4/9 + 4/9*w - 8/9*w**3 - 4/9*w**r = 0.
-1, 1
Let q be (-3 - (-16)/2) + 26. Factor 5*u**2 - u - q - 4*u - 29.
5*(u - 4)*(u + 3)
Let c be 235/846 - 8/(-36). Let t(o) be the first derivative of -2/3*o + 0*o**3 - 1/12*o**4 - 9 + c*o**2. Let t(h) = 0. Calculate h.
-2, 1
Let 0 + 15/2*j**3 + 1/6*j**5 - 25/6*j**4 - 23/3*j + 25/6*j**2 = 0. What is j?
-1, 0, 1, 2, 23
Let i(c) be the first derivative of 0*c**2 - 53 - 3/35*c**5 - 3/7*c**4 - 4/7*c**3 + 0*c. Solve i(f) = 0.
-2, 0
Let z(r) = 11*r**4 - 13*r**3 + 24*r**2 + 108*r - 216. Let j(d) = -9*d**4 + 12*d**3 - 23*d**2 - 108*d + 216. Let l(m) = 6*j(m) + 5*z(m). Factor l(b).
(b - 3)*(b - 2)*(b + 6)**2
Let t(l) = -l**2 + 173*l - 181. Let x(o) = o**2 - 176*o + 181. Let j(y) = 8*t(y) + 12*x(y). Let j(s) = 0. What is s?
1, 181
Let h be 6 + (-6)/(-6) + 0. Factor -19 - 76*m - 3*m**2 + 47 + h*m**2 + 44*m.
4*(m - 7)*(m - 1)
Let p(h) be the third derivative of 0*h + 147*h**2 + 1/300*h**5 + 1352/15*h**3 + 0 + 13/15*h**4. Suppose p(r) = 0. Calculate r.
-52
Let p be 0 + (1990/(-8) - (-1 + 1)). Let u = -245 - p. Let -3/4*r**4 + 9/4*r**2 - 3/4*r**3 + 3/2 + u*r = 0. Calculate r.
-1, 2
Let n(s) be the first derivative of -2*s**5/5 + 3*s**4/2 + 20*s**3 - 124*s**2 + 240*s + 5592. Determine p, given that n(p) = 0.
-6, 2, 5
Factor -80/19*m - 86/19*m**2 - 4/19*m**3 + 0 + 2/19*m**4.
2*m*(m - 8)*(m + 1)*(m + 5)/19
Let u = 781 + -770. Let r(n) be the first derivative of -3*n**2 - 4*n + u*n**4 + 16/3*n**3 + 5/3*n**6 + 36/5*n**5 - 10. Solve r(j) = 0.
-1, 2/5
Let r(i) = -4*i + 5*i - 2*i**4 + 3*i + 3 + 3*i**2. Let q = -705 + 702. Let s(u) = 5*u**4 - u**3 - 7*u**2 - 8*u - 7. Let t(j) = q*s(j) - 7*r(j). Factor t(d).
-d*(d - 2)**2*(d + 1)
Let y be 1*(-5 + (-72)/(-9)). Suppose -y*z - v - 5 = 0, v - 20 = -z - 25. Factor 2/21*j**3 + 0 + z*