 25*t - 22*t. Factor 8*f**4 - 2*f**3 - 176*f**2 - 6*f**t + 176*f**2.
-2*f**3*(f - 1)*(3*f - 1)
Suppose -6*q = -42 - 42. Solve 35*p - 5*p**2 - q*p + 4*p**3 - 20*p = 0.
0, 1/4, 1
Factor -201/2 + 101/2*k**2 - 199/4*k - 1/4*k**3.
-(k - 201)*(k - 2)*(k + 1)/4
Let d = 4241/2 + -2118. Let b(t) be the first derivative of 0*t - d*t**2 + 1/3*t**3 + 37. Let b(i) = 0. Calculate i.
0, 5
Let k be ((-4)/(-6))/((-2)/21) + ((-580)/29 - -27). Determine z so that 0 - 8/3*z**2 + 1/3*z**4 + k*z - 2/3*z**3 = 0.
-2, 0, 4
Let z be (-35)/(-2660)*38 - 26/(-36). Factor -z*v - 4/3 + 1/9*v**2.
(v - 12)*(v + 1)/9
Solve -69*p - 133 - 12*p**4 + 92*p**3 + 133 + 32*p**2 + 69*p = 0 for p.
-1/3, 0, 8
Suppose -5*g = i + 4*i - 10, 2 = g + 5*i. Let w be (7 + (-65)/9)*-1. Factor 0 - 4/9*y**g - w*y.
-2*y*(2*y + 1)/9
Let d(u) be the third derivative of 5*u**7/462 + u**6/33 - 47*u**5/330 + 4*u**4/33 - u**3/22 + u**2 - 469*u. Determine h so that d(h) = 0.
-3, 1/5, 1
Let c(m) = -m**3 + 11*m**2 - 10*m + 9. Let b be c(10). Suppose 20*w**2 + 35*w**3 + 26*w**4 - 60*w - 12*w**4 - b*w**4 = 0. Calculate w.
-6, -2, 0, 1
Let j(g) be the first derivative of 4*g**3/3 + 11*g**2/2 - 118. Let y be j(-3). Determine b, given that 15*b - 5*b**2 - 20/3*b**y - 10/3 = 0.
-2, 1/4, 1
Let a be -6 + -18*(-4)/(-8). Let w(q) = -9*q - 132. Let k be w(a). Factor 21/2*z**2 + k*z + 0.
3*z*(7*z + 2)/2
Let n(q) be the first derivative of -q**5/60 - q**4/9 + 11*q**3/18 - q**2 - 22*q - 28. Let l(k) be the first derivative of n(k). Factor l(r).
-(r - 1)**2*(r + 6)/3
Factor -301788 + 19*a**2 - 1300*a - 5*a**2 + 90538 - 16*a**2.
-2*(a + 325)**2
Let b = -295 - -302. Factor -4*h + 21*h + 5*h + b*h**2 - 2*h**2 - 6*h**2 + 23.
-(h - 23)*(h + 1)
Let h(s) = -s**2 - 19*s - 16. Let i(d) = 20*d + 16. Let c = -65 - -68. Let p(m) = c*i(m) + 4*h(m). Factor p(j).
-4*(j + 2)**2
Let h be (-61 + 69)*6/8. Let r = 3 - 1. Let x(z) = -z**3 - z. Let g(j) = 2*j**3 + 6*j + 2. Let v(p) = h*x(p) + r*g(p). Solve v(n) = 0 for n.
-1, 2
Let v(o) be the second derivative of o**4/42 + 181*o**3/21 - 26*o**2 + 259*o. Suppose v(s) = 0. What is s?
-182, 1
Let z = 219529/658593 - -2/658593. Determine x so that 0 + z*x + 1/3*x**3 - 2/3*x**2 = 0.
0, 1
Let y(q) be the second derivative of q**6/15 - 3*q**5/5 - q**4/2 + 20*q**3/3 - 12*q**2 + 5451*q. Factor y(s).
2*(s - 6)*(s - 1)**2*(s + 2)
Let q(d) be the third derivative of -d**6/180 + d**5/60 + d**4 - 55*d**3/3 - 49*d**2 + 2. Let k(c) be the first derivative of q(c). Factor k(z).
-2*(z - 4)*(z + 3)
Let k be 1479/126 - (-26)/(-156). Let o = 12 - k. What is l in 36/7*l - 108/7 - o*l**2 = 0?
6
Determine h so that -47/3*h**2 + 1/6*h**5 + 77/6 + 17/6*h**4 + 29/3*h**3 - 59/6*h = 0.
-11, -7, -1, 1
Let v = -8/1970715 + -467710592/1420885515. Let c = 3/721 - v. Factor 0*r**2 + 0*r + 2/3*r**3 + 0 - c*r**4.
-r**3*(r - 2)/3
Let f(i) = 6*i**2 - 14*i + 6. Let p be f(4). Suppose 0 = -21*c + p*c - 75. Factor -12/5*a - 9*a**c - 3/5*a**5 + 21/5*a**4 + 39/5*a**2 + 0.
-3*a*(a - 4)*(a - 1)**3/5
Suppose -9*r**3 + 21*r**3 + 41*r + 823*r + 436*r**2 - 10*r**3 = 0. What is r?
-216, -2, 0
Suppose 7*p = 3*p + 5*p. Let q be 16 - (3 + p - -1). Factor 0 - 4*r**3 - 7 + q*r + 15.
-4*(r - 2)*(r + 1)**2
Let y(h) = 8*h**2 + 1193*h - 364813. Let c(n) = -11*n**2 - 1188*n + 364812. Let k(o) = -3*c(o) - 4*y(o). Factor k(q).
(q - 604)**2
Factor -70 - 561/8*c - 1/8*c**2.
-(c + 1)*(c + 560)/8
Let d = 38 - -5. Determine k, given that -5*k**2 - 170 + 184 - 10*k + d*k = 0.
-2/5, 7
Suppose 40*m**3 - 536*m**2 + 552*m - 10*m**3 - 4368 + 4692 + 1806*m = 0. What is m?
-2/15, 9
Let q(v) be the first derivative of 69/4*v**4 + 30*v**2 + 24*v - 81 - 12/5*v**5 - 42*v**3. Factor q(u).
-3*(u - 2)**3*(4*u + 1)
Suppose -3457*a - 2592 = -3745*a. Factor -1/2*h**2 - a + 9/2*h.
-(h - 6)*(h - 3)/2
Let o = -20 + 116. Suppose 7*x - o = -82. Factor 3/4*m**x - 3/4*m - 3/4*m**4 + 0 + 3/4*m**3.
-3*m*(m - 1)**2*(m + 1)/4
Let w(a) = -a**3 - 46*a**2 - 4044*a - 174064. Let s be w(-44). Determine p so that -2/3*p**3 + 14/3*p**2 - 8*p + s = 0.
0, 3, 4
Let k = 261 + -256. Factor 15*a**3 - 56*a**2 + 5*a**5 + 5*a**k + 51*a**2 - 15*a**4 - 5*a**5.
5*a**2*(a - 1)**3
Let k(z) = 2702*z + 351260. Let d be k(-130). Let n = 5 - 2. Let 2/9 - 4/9*c**n - 2/9*c**4 + d*c**2 + 4/9*c = 0. Calculate c.
-1, 1
Let d(m) be the first derivative of -m**6/2 + 3*m**5 + 3*m**4/4 - 29*m**3 + 18*m**2 + 108*m - 2941. Determine p, given that d(p) = 0.
-2, -1, 2, 3
Let x(s) be the first derivative of -s**5 + 10*s**4 + 5*s**3 - 55*s**2 - 80*s - 1058. Factor x(a).
-5*(a - 8)*(a - 2)*(a + 1)**2
Let f be 18/(-66)*25/((-1050)/308). Let y(z) be the second derivative of 5/6*z**3 + 15*z - 1/8*z**5 + 0*z**f + 5/24*z**4 + 0. Factor y(j).
-5*j*(j - 2)*(j + 1)/2
Let h(a) be the second derivative of -a**5/4 + 245*a**4/6 + a + 313. Determine j so that h(j) = 0.
0, 98
Factor 40*q**2 + 14 - 133*q**2 + 47*q**2 + 48*q**2 + 16*q.
2*(q + 1)*(q + 7)
What is g in 1/5*g**2 - 446*g + 248645 = 0?
1115
Let o(h) be the first derivative of 85/2*h**2 - 20*h**4 + 10*h**5 - 40*h - 5/6*h**6 - 10/3*h**3 - 97. Determine u, given that o(u) = 0.
-1, 1, 8
Let l(c) = 3*c**3 - 3*c**2 + 2*c + 1. Let d be l(1). Find x such that x**4 + 8*x**d - 15*x**3 - 12*x**3 = 0.
0, 19
Factor -4/3*j**3 + 0 + 4/3*j + 2/3*j**4 - 2/3*j**2.
2*j*(j - 2)*(j - 1)*(j + 1)/3
What is c in 180*c**3 + 2*c**4 + 345*c + 336*c - 186*c**2 - 1045*c = 0?
-91, -1, 0, 2
Find n such that 1908/7*n**3 - 130/7*n**4 + 4624/7*n + 952*n**2 + 0 + 2/7*n**5 = 0.
-2, -1, 0, 34
Let y(v) be the first derivative of 5*v**4/12 - 5*v**3/3 - 45*v**2 + 4291. Factor y(u).
5*u*(u - 9)*(u + 6)/3
Let h(k) = 8*k**5 - 72*k**4 + 706*k**3 - 1084*k**2 - 726*k + 1150. Let w(t) = -t**5 + t**3 + 2*t + 1. Let p(f) = h(f) + 6*w(f). Let p(m) = 0. Calculate m.
-1, 1, 2, 17
Let s(o) be the second derivative of -o**5/50 + 19*o**4/30 - 44*o**3/15 - 64*o**2/5 - 3138*o. Factor s(t).
-2*(t - 16)*(t - 4)*(t + 1)/5
Factor 4*b**2 - 84 - 154*b + 190*b - 140*b + 184.
4*(b - 25)*(b - 1)
Suppose 2*b + 0*b - k - 26 = 0, -4*b + 44 = -4*k. Suppose y - b = -4*y + 3*q, 4*y = q + 19. Factor 8*d - 6 - 6 + y*d**2 - 2*d**2 + 16*d**2.
4*(d + 1)*(5*d - 3)
Let m(s) be the first derivative of -s**4/2 + 508*s**3/3 + 1028*s**2 + 2064*s - 352. Factor m(w).
-2*(w - 258)*(w + 2)**2
Let r(l) be the second derivative of 0 + 18*l - 1/9*l**3 - 1/54*l**4 + 0*l**2 + 1/135*l**6 + 1/30*l**5. Factor r(u).
2*u*(u - 1)*(u + 1)*(u + 3)/9
Let v = -2090 + 2112. Suppose 4*h - v = -2*w, 2*h + 3*h = 15. Factor 1/2*l**w + 2*l - 3*l**4 + 0 + 13/2*l**3 - 6*l**2.
l*(l - 2)**2*(l - 1)**2/2
Suppose n - 17*t - 28 = -15*t, n - t - 23 = 0. Let z be n/12 - 140/104. Factor -z*h**2 + 2/13 + 0*h.
-2*(h - 1)*(h + 1)/13
Let d be 6/15 - (-26787)/9570 - 3. Let v = -1/58 + d. Determine y, given that v*y**3 - 2/11*y**2 + 0*y + 2/11*y**4 - 2/11*y**5 + 0 = 0.
-1, 0, 1
Let r(u) be the first derivative of 2*u**3 + 1437*u**2/2 - 720*u + 2281. What is y in r(y) = 0?
-240, 1/2
Solve -1811*b**4 - 2*b**5 - 178438*b + 57*b**4 - 1548800 + 171398*b + 1161592*b**2 - 381920*b**3 = 0.
-440, -1, 2
Let n(i) be the first derivative of 3/20*i**4 - 7/100*i**5 + 6*i + 0*i**2 + 8 - 1/15*i**3. Let y(h) be the first derivative of n(h). Find c such that y(c) = 0.
0, 2/7, 1
Let p(u) be the first derivative of -4/5*u**3 - 88 + 0*u**2 + 0*u + 2/25*u**5 - 1/10*u**4. Find q such that p(q) = 0.
-2, 0, 3
Let l(k) be the first derivative of -k**4/36 + 10*k**3/27 - 17*k**2/18 - 28*k/9 - 451. Solve l(y) = 0 for y.
-1, 4, 7
Let j(l) be the third derivative of l**5/72 - 11*l**4/72 - 5*l**3/12 - 1085*l**2. Factor j(k).
(k - 5)*(5*k + 3)/6
Let h = 2440/21 + -697/6. Let f(g) be the third derivative of 27*g**2 + 1/8*g**6 - h*g**7 + 0*g + 5/3*g**3 + 0 - 1/12*g**5 - 5/8*g**4. Let f(m) = 0. What is m?
-1, 1, 2
Let o(i) = -7*i**3 + 18*i**2 + 7*i. Let g(m) be the second derivative of 3*m**5/10 - 5*m**4/4 - m**3 - 8*m - 9. Let a(f) = 6*g(f) + 5*o(f). Factor a(r).
r*(r - 1)*(r + 1)
Let c(x) be the third derivative of 0*x + 5/2*x**4 + 1/30*x**6 - 2*x**2 - 7/15*x**5 + 14 - 6*x**3. Factor c(j).
4*(j - 3)**2*(j - 1)
Let x(t) be the second derivative of -t**7/735 + t**6/84 - 2*t**5/105 + 28*t**2 + 49*t. Let g(a) be the first derivative of x(a). Factor g(s).
-2*s**2*(s - 4)*(s - 1)/7
Let t(y) be the third derivative of y**6/24 - 187*y**5/12