third derivative of 0*f + 0*f**3 + 0 - 13/36*f**5 + 5/18*f**4 + 182*f**2 + 1/24*f**6. Factor h(l).
5*l*(l - 4)*(3*l - 1)/3
Let t = -4951/855 + 719/95. Let -22/9*q**2 + 2/3*q**3 + 8/9 + t*q = 0. Calculate q.
-1/3, 2
Suppose 2659*h - 3940 = 435*h + 508. Factor -2/25*r**3 + 0 + 26/25*r**h - 24/25*r.
-2*r*(r - 12)*(r - 1)/25
Let j = -8668 - -8671. Let n(d) be the second derivative of -1/21*d**4 + 0 - 40/21*d**j + 15*d - 200/7*d**2. Factor n(m).
-4*(m + 10)**2/7
Let x be (33 - 20)/((-20)/(-716)). Let j = x - 465. Find b, given that -j*b**4 + 0*b + 2/5*b**2 + 2/5*b**5 + 0 - 2/5*b**3 = 0.
-1, 0, 1
Let j(w) = 14*w**2 - 50*w + 54. Let b be (-279)/248*(-32)/6. Let s(v) = -30*v**2 + 99*v - 108. Let t(x) = b*s(x) + 13*j(x). Find k such that t(k) = 0.
1, 27
Suppose -5*h + 2*o = -35, -44*h = -37*h + 5*o + 29. Suppose 2/5*w**4 - 92/5*w**2 + 18 + 88/5*w**h - 88/5*w = 0. What is w?
-45, -1, 1
Let h(z) be the first derivative of 5/3*z**2 + 47 - 8*z - 1/30*z**5 + 2/3*z**3 - 1/8*z**4. Factor h(w).
-(w - 2)**2*(w + 3)*(w + 4)/6
Let j(a) = a**3 - 12*a**2 + 4*a - 48. Let p be j(12). Let z be 332/(-415)*(p + 5/(-6)). Factor -4/3*q - 2/3 - z*q**2.
-2*(q + 1)**2/3
Let q(i) be the first derivative of -4*i**5/5 - 12*i**4 - 104*i**3/3 + 24*i**2 + 108*i + 968. Suppose q(x) = 0. What is x?
-9, -3, -1, 1
Find o, given that -5/6 + 11/6*o + 11/3*o**4 - 43/6*o**3 + 5/2*o**2 = 0.
-1/2, 5/11, 1
Let x(n) = 15*n - 11*n + 7 - 27. Let g be x(6). What is i in i**2 + 0*i + 0 - i**g - 1/2*i**3 + 1/2*i**5 = 0?
-1, 0, 1, 2
Suppose 31*l = -l - 1664. Let w be l/(-30) + 16/(-12). Factor w*v + 0 + 6/5*v**2.
2*v*(3*v + 1)/5
Let g(f) be the second derivative of 7/150*f**6 + 53/30*f**3 + 0 - f**2 - 23/20*f**4 + 19/100*f**5 - 39*f. Factor g(o).
(o - 1)**2*(o + 5)*(7*o - 2)/5
Let s be (24 - 9) + 8*(-2 + 1). Let l(v) be the second derivative of 0 + 1/30*v**5 + 0*v**4 + 0*v**6 - 1/18*v**3 + 12*v + 0*v**2 - 1/126*v**s. Factor l(n).
-n*(n - 1)**2*(n + 1)**2/3
Let d(o) be the first derivative of 7*o**2/2 - 23*o + 29. Let a be d(9). Determine v, given that 104*v**4 + 10*v - 114*v**4 + 6*v**3 + 12 + a*v + 54*v**2 = 0.
-1, -2/5, 3
Factor 1/5*u**2 + 198/5 - 101/5*u.
(u - 99)*(u - 2)/5
Let b(o) = o**2 - 15*o - 105. Let m be b(21). Factor -m*j + 42 + 2*j**2 - 14*j - 17*j + 8*j.
2*(j - 21)*(j - 1)
Let a be (3/4 + 0)/(2/(-24)). Let t be (-1 - a)/((-5)/(-10)). Determine x, given that -14*x + 5*x**2 - t - 14*x + 4*x**3 - 13*x**2 = 0.
-1, 4
Let y = -100267 - -100270. Factor -99/8*r - 1/8*r**y + 19/8*r**2 + 81/8.
-(r - 9)**2*(r - 1)/8
Let b(u) be the second derivative of u**5/20 - 101*u**4/2 + 30603*u**3/2 + 2643*u. Factor b(a).
a*(a - 303)**2
Let r(o) = 34*o**3 + 1251*o**2 - 192189*o - 193469. Let k(t) = 4*t**3 + t**2 + t - 3. Let g(p) = 18*k(p) - 2*r(p). Factor g(d).
4*(d - 311)**2*(d + 1)
Let w(j) be the first derivative of -4*j**3/3 - 440*j**2 - 876*j + 140. Suppose w(o) = 0. Calculate o.
-219, -1
Let d(o) be the first derivative of -o**4/48 - o**3/24 + 3*o**2/4 - 12*o - 10. Let g(y) be the first derivative of d(y). Factor g(j).
-(j - 2)*(j + 3)/4
Let a = 3804 + -3799. Let o(d) be the second derivative of 0*d**2 - 2/45*d**4 - 4*d + 1/150*d**a + 4/45*d**3 + 0. What is u in o(u) = 0?
0, 2
Determine c, given that -3294225/7 - 1/7*c**2 - 3630/7*c = 0.
-1815
Suppose -195 = -3*r + 5*c + 345, 2*c - 191 = -r. Let t = r + -553/3. Factor 0 - t*u**2 - 4/3*u.
-2*u*(u + 2)/3
Let a(n) = -25*n - 42. Let r be a(-2). Factor 2*z**5 + 24*z**3 - 3*z**5 - 13*z**3 + 29*z**2 + 26*z - z**4 + r.
-(z - 4)*(z + 1)**3*(z + 2)
Let 26/3*w**2 - 8/3*w - 25/3*w**3 + 7/3*w**4 + 0 = 0. What is w?
0, 4/7, 1, 2
Let n = 4877 + -146309/30. Let y(r) be the second derivative of 2*r**2 + 2/3*r**3 - 1/5*r**5 - n*r**6 + 16*r + 0 - 1/4*r**4. Suppose y(k) = 0. Calculate k.
-2, -1, 1
Let d(m) be the second derivative of 9/2*m**2 - 4*m + 1/4*m**4 + 2*m**3 - 25. Factor d(t).
3*(t + 1)*(t + 3)
Factor -7830432*h - 288*h**4 - 7830*h**3 - 3/2*h**5 + 556632*h**2 + 33685632.
-3*(h - 12)**3*(h + 114)**2/2
Let r(x) = -2 + 6 - 7*x + 5*x - 33. Let t be r(-20). Determine y, given that -3*y + 11*y**3 - 3*y**4 + 12*y**2 + 7*y**3 + t*y**4 + 5*y = 0.
-1, -1/4, 0
Let y(f) be the second derivative of f**5/90 - 47*f**4/3 - 847*f**3/27 + 765*f. Let y(h) = 0. What is h?
-1, 0, 847
Let d be (21/5)/7 + (-426)/10. Let w be (-1)/4 + d/(-8) - 2. Factor i**4 + 14*i**3 - 56*i**3 - w*i**5 - 19*i**4 - 27*i - 48*i**2 - 6.
-3*(i + 1)**4*(i + 2)
Let z be (-2)/((-140)/(-17)) + -63*(-56)/5880. Let i(k) be the second derivative of -1/84*k**4 + z*k**2 + 0 + 2/21*k**3 - 21*k. Solve i(u) = 0 for u.
-1, 5
Let k(m) be the second derivative of -m**6/6 + 3*m**5/2 + 175*m**4/12 + 40*m**3 + 50*m**2 + 379*m. Factor k(s).
-5*(s - 10)*(s + 1)**2*(s + 2)
Let r = 119 - 115. Find a, given that 45*a**4 + 12*a**5 - 30*a**r - 20*a**2 - 7*a**5 = 0.
-2, 0, 1
Let l(t) be the first derivative of -t**3/18 - t**2 + 133*t/6 - 613. Suppose l(h) = 0. What is h?
-19, 7
Let t(s) be the second derivative of s**6/20 - 81*s**5/40 - 29*s**4/4 + 12*s - 210. Let t(q) = 0. What is q?
-2, 0, 29
Let f be ((-120)/5)/(-2) - 3. Let m(d) = 19*d + 3. Let o be m(f). Factor -166*r**3 - 12*r**2 - 10*r + 5*r**5 - 3*r**5 + o*r**3 + 12*r**4.
2*r*(r - 1)*(r + 1)**2*(r + 5)
Let f(y) be the second derivative of 1/110*y**5 + 0 - 16/11*y**2 + 44*y - 3/22*y**4 + 8/11*y**3. Factor f(p).
2*(p - 4)**2*(p - 1)/11
Let p = 2706051/7 - 386575. Factor 0 + p*s - 24/7*s**2 - 2/7*s**3.
-2*s*(s - 1)*(s + 13)/7
Let m(l) be the first derivative of 10*l - 10/3*l**2 + 5/24*l**4 - 5/18*l**3 - 72. Solve m(r) = 0.
-3, 2
Let v(y) be the third derivative of -y**8/252 + 2*y**7/21 - 19*y**6/45 - 232*y**5/45 + 128*y**4/3 - 1024*y**3/9 - 3879*y**2. Suppose v(d) = 0. What is d?
-4, 1, 2, 8
Let a(r) = 845*r - 5910. Let m be a(7). Solve -2/19*j**m + 0*j + 2/19*j**3 + 0*j**2 + 0*j**4 + 0 = 0.
-1, 0, 1
Let n be 15/(-9) + 121/(-3). Let m be (-2*1)/(28/n). Determine r so that 0 + 18*r - 27*r**2 + 3*r**2 - m + 10*r**3 + 27*r**4 - 28*r**3 = 0.
-1, 1/3, 1
Find j, given that 1/6*j**3 - 23/2*j + 6877/6 - 11/2*j**2 = 0.
-13, 23
Let t(c) be the third derivative of c**8/140 + 2*c**7/35 - 311*c**6/200 + 147*c**5/50 - 9*c**4/5 + 158*c**2 - 13. Suppose t(n) = 0. What is n?
-12, 0, 1/2, 6
Let u = 220 + -130. Suppose u*d + 9 = 91*d. Factor 2*x**2 + 10*x - 6 - d + 3.
2*(x - 1)*(x + 6)
Let y(m) = -21*m + 122. Let z be y(5). Let n be z/(-51) + (-2)/(-6). Factor 0*s + 8/7*s**5 - 24/7*s**4 - 4/7*s**2 + n + 18/7*s**3.
2*s**2*(s - 2)*(2*s - 1)**2/7
What is q in -358/5*q + 1/5*q**2 + 32041/5 = 0?
179
Let q be 25/9 - (-3)/(135/10). Factor d**2 - d**2 - 845*d**3 + 817*d**q + 4*d**4.
4*d**3*(d - 7)
Let r(u) = -14*u**2 - 311*u - 22. Suppose -g - 156 = -145. Let d(a) = -3*a**2 - 62*a - 4. Let c(n) = g*d(n) + 2*r(n). Suppose c(b) = 0. What is b?
-12, 0
Let w be ((28/(-4))/(-7)*(-28)/56)/(4/(-24)). Solve -12/5*k**2 - 252/5*k**5 - 72/5*k**w + 0*k + 543/5*k**4 + 0 = 0 for k.
-2/21, 0, 1/4, 2
Let x(j) = -2*j**3 - 150*j**2 + 83*j - 5242. Let p be x(-76). Suppose -12/5*m**4 + 0*m + 3/5*m**3 + 0 + 18/5*m**p + 3/5*m**5 = 0. Calculate m.
-1, 0, 2, 3
Let f(h) = -15*h**3 + 225*h**2 - 840*h - 1068. Let d(w) = 19*w**3 - 225*w**2 + 841*w + 1069. Let a(z) = 3*d(z) + 4*f(z). Factor a(c).
-3*(c - 71)*(c - 5)*(c + 1)
Let q(w) be the third derivative of w**6/600 + 169*w**5/100 - 339*w**4/40 + 509*w**3/30 - 83*w**2 + 6. Factor q(x).
(x - 1)**2*(x + 509)/5
Let a(p) be the third derivative of -p**5/80 - 105*p**4/8 + 211*p**3/2 - 2*p**2 + 9*p + 41. Factor a(v).
-3*(v - 2)*(v + 422)/4
Let y(d) be the first derivative of -d**5 - 415*d**4/4 + 430*d**3 - 10*d**2 - 1720*d - 2036. Find a such that y(a) = 0.
-86, -1, 2
Let u(r) be the third derivative of -2*r - 10*r**2 + 3/2*r**3 + 19/16*r**5 + 0 + 5/32*r**6 + 2*r**4. Factor u(x).
3*(x + 3)*(5*x + 2)**2/4
Suppose 2*l - 4*l + 18 = 0. Let v be (l/243)/(2/12). Suppose 2/3*i**2 + 0 - v*i = 0. Calculate i.
0, 1/3
Let n(i) be the second derivative of -i**4/15 + 1196*i**3/15 - 178802*i**2/5 + 891*i. Let n(f) = 0. What is f?
299
Suppose -124*x = -13*x. Let f(z) be the third derivative of 1/78*z**4 + 0*z**3 - 9*z**2 + 1/390*z**5 + x*z + 0 - 1/780*z**6. Factor f(c).
-2*c*(c - 2)*(c + 1)/13
Factor 388 + 107*s**2 + 390*s - 22*s**2 - 83*s**2.
2*(s + 1)*(s + 194)
Suppose 3*v = -3*j + 693, 3*v