-1, 3
Let s be (1164/42 - 25) + 4/14. Solve 0 - 60*o**2 - 135*o**s - 20/3*o = 0.
-2/9, 0
Suppose 4*f - 2*v - 70 = -80, -6*v + 30 = 0. Let x(j) be the third derivative of -1/3*j**4 - 26*j**2 + 0*j - j**3 - 1/30*j**5 + f. Solve x(g) = 0 for g.
-3, -1
Suppose 2*z - 3*z + 1396 = -x, -5*x = -15. Factor 1403*t**2 - 11 - z*t**2 + 3 + 4*t.
4*(t - 1)*(t + 2)
Let b = 9089/5690 + 3/1138. What is r in b + 16/5*r - 6/5*r**3 + 2/5*r**2 = 0?
-1, -2/3, 2
Factor 2/17*n - 2/17*n**2 + 264/17.
-2*(n - 12)*(n + 11)/17
Suppose -24*x - 66 = x - 116. Factor 0 + 2/3*w**4 - 2/3*w**5 + 0*w - 2/3*w**x + 2/3*w**3.
-2*w**2*(w - 1)**2*(w + 1)/3
Suppose 175 = -5*q + 20. Let y = 33 + q. What is a in 19*a + 11*a - 49*a + 8*a**y + 13*a - 2*a**3 = 0?
0, 1, 3
Let d be ((-108)/(-63))/(11 - 3335/322). Determine t so that -76/3*t**2 + 128/3*t**3 - d*t - 44/3*t**4 + 0 = 0.
-1/11, 0, 1, 2
Factor 1/2*o**2 - 5*o - 72.
(o - 18)*(o + 8)/2
Let b = -4047 + 242827/60. Let u(y) be the third derivative of -b*y**6 + 2*y**2 - y**5 + 0*y - 2*y**3 + 0 - 29/12*y**4. Solve u(c) = 0 for c.
-3, -1, -2/7
Let h be 24/(-120) - 53/(-15). Let u(v) be the second derivative of -2/3*v**6 + 3/4*v**5 + 5/42*v**7 + 5/3*v**4 + 11*v + 0*v**2 - h*v**3 + 0. Factor u(m).
5*m*(m - 2)**2*(m - 1)*(m + 1)
Let v(x) be the third derivative of x**7/350 + x**6/5 - 157*x**5/50 + 87*x**4/5 - 423*x**3/10 + 722*x**2. Solve v(h) = 0 for h.
-47, 1, 3
Let i(v) be the first derivative of 315/2*v**2 - 85/3*v**3 + 405*v - 69 + 5/4*v**4. Factor i(t).
5*(t - 9)**2*(t + 1)
Suppose -4*c - 4*w + 72 = 0, -3*c + 787*w = 780*w + 86. Solve 20/7 - 24/7*t**2 - 4/7*t**c + 34/7*t - 26/7*t**3 = 0.
-5, -2, -1/2, 1
Suppose 48*o - 87*o = -50*o + 66. Let g(y) be the third derivative of 1/105*y**7 - 1/30*y**5 + 0 + 0*y + 0*y**3 - 1/60*y**o + 7*y**2 + 1/12*y**4. Factor g(w).
2*w*(w - 1)**2*(w + 1)
Let v = -43791 + 394145/9. Factor 0*z + 0 + 2/9*z**3 - v*z**2.
2*z**2*(z - 13)/9
Let v(i) = -i**3 + 17*i**2 - 13*i - 38. Let o be v(16). Factor o*b**2 + 125*b**5 - 10*b**2 - 35*b + 230*b**3 - 10*b**2 + 5 + 325*b**4.
5*(b + 1)**3*(5*b - 1)**2
Let v(f) be the second derivative of 9/16*f**5 + 36 - f + 29/8*f**4 + 13/2*f**3 - 3*f**2. Determine t, given that v(t) = 0.
-2, 2/15
Let s(u) = 2*u**3 - 24*u**2 + 40*u - 28. Let v(y) = -2*y**3 + 26*y**2 - 40*y + 27. Let w(n) = 5*s(n) + 4*v(n). Suppose w(q) = 0. Calculate q.
2, 4
Let j(y) be the first derivative of -5*y**6/6 + 11*y**5 + 285*y**4/4 + 75*y**3 + 2414. Determine u, given that j(u) = 0.
-3, -1, 0, 15
Let r(x) be the second derivative of -x**6/195 - 381*x**5/65 - 24066*x**4/13 + 291848*x**3/39 + 2*x - 971. Suppose r(k) = 0. What is k?
-382, 0, 2
Suppose 51*o = 46*o + 145. Determine c so that -92 + 44 + 352*c - 544*c**2 - 18*c**5 + 348*c**3 + o*c**5 - 101*c**4 = 0.
2/11, 2, 3
Let l(s) = 4*s**3 + 40*s**2 - 166*s + 130. Let b(m) = 7*m**3 + 41*m**2 - 166*m + 130. Let a(v) = 4*b(v) - 6*l(v). Factor a(y).
4*(y - 13)*(y - 5)*(y - 1)
Let f = -785090/7 + 112156. Factor 14 + f*t**2 + 4*t.
2*(t + 7)**2/7
Let m = -835 - -1737. Let u = m - 900. Factor -10/3 + 4*y - 2/3*y**u.
-2*(y - 5)*(y - 1)/3
Let n(v) be the second derivative of -v**4/3 + 1090*v**3 - 618*v. Factor n(q).
-4*q*(q - 1635)
Let g be (20/210*7)/(2/27). Suppose 7*t = q + 4*t - g, 4*t + 8 = 0. Factor 0 - 12/5*s**q - 2/5*s**5 - 2/5*s + 8/5*s**4 + 8/5*s**2.
-2*s*(s - 1)**4/5
Let j(m) = -3*m + 10. Let q be j(4). Let l be (-1)/(q - (-18)/(-12)). Factor 0*n + 4/7*n**2 + 0 - l*n**3.
-2*n**2*(n - 2)/7
Suppose 262*n = 258*n - 976. Let t = n + 247. What is c in -14/9*c**t + 0 + 2/3*c**2 + 10/9*c**5 - 2/3*c**4 + 4/9*c = 0?
-1, -2/5, 0, 1
Suppose -5*s + 2958*g - 4 = 2956*g, 14 = 2*g. Factor 0 - 1/9*w**4 + 2/9*w**s + 0*w - 1/9*w**3.
-w**2*(w - 1)*(w + 2)/9
Let m(d) be the third derivative of -2/15*d**5 + 5/12*d**4 + 64 + 0*d - 2*d**2 - 2/3*d**3 + 1/60*d**6. Factor m(f).
2*(f - 2)*(f - 1)**2
Let y(b) be the first derivative of b**5/300 + 17*b**4/120 + 8*b**3/15 - 78*b**2 - b + 36. Let s(o) be the second derivative of y(o). Factor s(c).
(c + 1)*(c + 16)/5
Suppose -5*v - 4*h + 12 = 80, 5*h = v + 2. Let q be (v/21)/((-2)/7). Find z, given that z**q + 4*z**3 - 7*z**2 + 6*z**3 - z**3 = 0.
0, 2/3
Factor 1/4*p + 5/2 - 7/4*p**2 + 1/2*p**3.
(p - 2)*(p + 1)*(2*p - 5)/4
Suppose -32*k + 1232 = 272. Suppose 52*l - 66 = k*l. Find o, given that -2/5*o + 0 - 12/5*o**l + 2*o**2 = 0.
0, 1/3, 1/2
Suppose 72 = 2*j - 86. Suppose 5*k = 21 + j. Let -g + 55*g**2 - 25*g**5 - k - 20*g**4 + 65*g**3 - 8*g - 31*g - 15*g**4 = 0. What is g?
-2, -1, -2/5, 1
Let i(r) be the third derivative of 40*r**2 + 0 + 0*r + 4/45*r**3 + 4/45*r**4 + 1/300*r**6 + 13/450*r**5. Solve i(g) = 0 for g.
-2, -1/3
Let u = -2174 + 2190. Let y(g) be the third derivative of 0*g - 1/20*g**5 + u*g**2 - 3/2*g**3 + 0 + 1/2*g**4. Factor y(n).
-3*(n - 3)*(n - 1)
Let h(m) be the third derivative of -29*m**6/840 - 508*m**5/105 - 5095*m**4/24 - 175*m**3/3 - m**2 + 25*m - 1. Factor h(k).
-(k + 35)**2*(29*k + 2)/7
Let d(f) be the first derivative of -4*f**3/3 + 2478*f**2 + 5406. Factor d(x).
-4*x*(x - 1239)
Let i(t) = -11*t**2 - 50*t - 3. Let l(w) = -10*w**2 - 50*w - 4. Let m(r) = 5*i(r) - 6*l(r). Let o(s) = s**2 + 13*s + 2. Let g(h) = 2*m(h) - 9*o(h). Factor g(z).
z*(z - 17)
Let h be 9/27*(0 + 1 + 2). Let t be h/(-2) + (-70)/(-20). What is g in 0 + 3/8*g + 3/8*g**t - 3/4*g**2 = 0?
0, 1
Let d(o) be the third derivative of o**8/2688 - o**7/840 - o**6/192 + o**5/80 - 285*o**2. Find q, given that d(q) = 0.
-2, 0, 1, 3
Let x = 1125535 - 1125535. What is w in x + 6/13*w + 2/13*w**2 = 0?
-3, 0
Factor 8*s + 82*s - 95 + 125*s**2 - 120*s**2.
5*(s - 1)*(s + 19)
Suppose -299*l + 1 + 3 = 4. Find y, given that -45*y**2 + 0 - 15/2*y**4 + l*y - 231/2*y**3 = 0.
-15, -2/5, 0
Let j(d) be the second derivative of -d**4/66 + 193*d**3/33 + 390*d**2/11 - 1000*d + 1. Factor j(x).
-2*(x - 195)*(x + 2)/11
Let x(z) be the third derivative of -z**5/330 - 1142*z**4/33 - 5216656*z**3/33 - 526*z**2 - 5*z. Factor x(l).
-2*(l + 2284)**2/11
Let f(q) = 2*q**4 + 5*q**3 + 8*q**2 - 5*q. Let z(o) = o**4 + 2*o**3 + 3*o**2 - 2*o. Let a be (0 - 388/76) + 12/114. Let y(d) = a*z(d) + 2*f(d). Factor y(s).
-s**2*(s - 1)*(s + 1)
Factor 0*c + 82/3*c**2 - 1/3*c**3 + 0.
-c**2*(c - 82)/3
Let t(i) = i**3 + 20*i**2 + 19*i + 15. Let j be t(-19). Find f such that 9*f - f**2 + 7 + j + 0 = 0.
-2, 11
Let d = -594064 + 3564385/6. Factor -216*r - d*r**3 + 0 + 12*r**2.
-r*(r - 36)**2/6
Let n(m) = -308*m - 23098. Let s be n(-75). Factor -9*b**s + 0 - 19/2*b + 1/2*b**3.
b*(b - 19)*(b + 1)/2
Let c(x) be the third derivative of -x**8/840 + x**7/35 - 59*x**6/300 + 3*x**5/10 - 5*x**2 - 33*x. Solve c(t) = 0 for t.
0, 1, 5, 9
Let r(n) be the third derivative of n**8/1120 - n**7/280 - 7*n**6/240 - n**5/20 + 17*n**3/3 + 9*n**2. Let t(y) be the first derivative of r(y). Factor t(h).
3*h*(h - 4)*(h + 1)**2/2
Let m(p) be the second derivative of 0 + 7/60*p**6 - 27/2*p**2 - 78*p + 57/8*p**4 - 61/40*p**5 - 45/4*p**3. Factor m(v).
(v - 3)**3*(7*v + 2)/2
Suppose 75*q = 78*q - 2*f - 5, -4*q + 22 = 5*f. Let m(h) be the second derivative of -3*h**2 + 4/3*h**q + 0 + 18*h - 1/6*h**4. Factor m(j).
-2*(j - 3)*(j - 1)
Let g(h) be the second derivative of h**5/20 - 3*h**4/8 - 5*h**3 - 47*h**2/2 - 33*h - 1. Let i(t) be the first derivative of g(t). Factor i(w).
3*(w - 5)*(w + 2)
Let 37810*b**2 + 5*b**5 + 17380*b**3 - 33379 - 17385*b - 30*b**4 - 3831 - 473*b**4 - 97*b**4 = 0. What is b?
-2, -1, 1, 61
Let j(w) = 9*w**2 + 525*w - 1078. Let l(f) = -12*f**2 - 522*f + 1080. Let s(a) = 3*j(a) + 2*l(a). What is p in s(p) = 0?
-179, 2
Find d, given that 1176 - 8*d**3 + 170*d**2 - 192*d**2 + 28*d + 9*d**3 = 0.
-6, 14
Let o be 8/12 + -8*4/120. Factor 0 - 6/5*s**2 + 0*s - o*s**3.
-2*s**2*(s + 3)/5
Let a be 16/(-20) - 64/(-70). Let z = a - -16/35. Find s, given that 0*s - z*s**2 + 2*s**3 + 0 - 6/7*s**4 = 0.
0, 1/3, 2
Solve 0*z + 10/3*z**2 + 68/3*z**3 + 0 - 14/3*z**4 = 0 for z.
-1/7, 0, 5
Factor -9/4*t**3 + 0*t + 0 + 2*t**2 + 1/4*t**4.
t**2*(t - 8)*(t - 1)/4
Suppose 332 - 438 = -319*y + 532. Let u be (-2)/(2/((-4)/18)). Factor -8/9*z**y + 8/9*z + u*z**3 + 0.
2*z*(z - 2)**2/9
Let m(j) be the second derivative of j**4/28 - 10*j**3 + 1050*j**2 + 937*j. Suppose m(k) = 0. What is k?
70
Let o be ((-5566)/693)/23 - ((-6)/(-14))/(12/(-16)). Find t