1/10*f**6 + 277/150*f**5 + 0*f + 1/525*f**7 + 0 + 133*f**2 - 13*f**4 + 676/15*f**3. Factor h(v).
2*(v - 13)**2*(v - 2)**2/5
Suppose -2*m = -z + 31, -15*m = z - 11*m - 13. Factor -36*d - 5*d**2 + 31*d + z*d - 20.
-5*(d - 2)**2
Suppose -20*z + 27 = -11*z. Factor -64*k**3 - 60*k**3 - 66*k**3 + 507*k + 191*k**z - 2197 - 39*k**2.
(k - 13)**3
Let j(m) be the second derivative of -m**4/4 - 87*m**3 + 528*m**2 + 1193*m. What is f in j(f) = 0?
-176, 2
Suppose -199 + 199 = 104*m. Let r(t) be the second derivative of 5/9*t**3 - 1/6*t**5 - t**2 + 1/6*t**4 + 8*t + m. Factor r(g).
-2*(g - 1)*(g + 1)*(5*g - 3)/3
Let o be 2392/(-600) - 3 - (-4 - 3). Let g = o - -73/150. Factor -2*v**2 - 3/4*v + g - 3/4*v**3.
-(v + 1)*(v + 2)*(3*v - 1)/4
Let s(n) be the third derivative of -n**5/450 - 47*n**4/90 - 91*n**3/15 - 11*n**2 - 14*n - 5. Find d, given that s(d) = 0.
-91, -3
Let c = 9/1657 - -21505/6628. Suppose c*g**3 - 1/8*g**4 + 0 + 0*g + 27/8*g**2 = 0. Calculate g.
-1, 0, 27
Let n be 5 - 1 - 4*(-4)/(-8). Determine v, given that v**4 - 5*v**5 + 36*v**2 - 36*v**n + 3*v**3 + 17*v**3 + 14*v**4 = 0.
-1, 0, 4
Let z(k) be the first derivative of -9*k**5 - 1275*k**4/2 - 39365*k**3/3 - 45900*k**2 - 58320*k + 1022. Determine y, given that z(y) = 0.
-27, -4/3
Let y(m) be the second derivative of 88*m - 11/4*m**4 - 1/90*m**6 + 0*m**2 + 9/2*m**3 + 19/60*m**5 + 2. Factor y(u).
-u*(u - 9)**2*(u - 1)/3
Let f(s) = 12*s**3 + 572*s**2 - 1684*s - 484. Let c(n) = -11*n**3 - 574*n**2 + 1684*n + 491. Let t(d) = -4*c(d) - 5*f(d). Suppose t(p) = 0. What is p?
-38, -1/4, 3
Let h(m) = -5*m - 69. Let s be h(-15). Determine r, given that -20 - 34*r + s*r + 4*r**2 + 12*r = 0.
-1, 5
Determine d so that 6*d**4 - 32 - 118/3*d**2 - 4*d**3 + 208/3*d = 0.
-3, 1, 4/3
Let u be (-256)/10 + (79 - 53). Suppose -1/5*g**4 - 2/5*g + 0 + 1/5*g**2 + u*g**3 = 0. What is g?
-1, 0, 1, 2
Let d(w) be the second derivative of 3/4*w**3 - 1 + 9*w + 1/2*w**2 + 7/24*w**4. Suppose d(y) = 0. What is y?
-1, -2/7
Suppose 0 = 4*l - 3*q - 61, -49*l = -50*l + 10*q + 154. Factor -h + 1/2*h**l - 11/2*h**2 + 10/3*h**3 + 8/3.
(h - 1)**2*(h + 8)*(3*h + 2)/6
Let c = -308 - -304. Let g be 24/c - -6 - (-5)/3. Factor g*u - 5/6*u**4 + 10/3*u**3 - 25/6*u**2 + 0.
-5*u*(u - 2)*(u - 1)**2/6
Suppose 12*q**2 + 0*q**4 - 13/2*q + 53/8*q**3 - 1/8*q**5 - 12 = 0. Calculate q.
-6, -2, -1, 1, 8
Factor -1/6*j**5 + 0 + j**3 + 0*j**2 + 0*j - 1/6*j**4.
-j**3*(j - 2)*(j + 3)/6
Factor -g**3 + 27*g**3 - 22*g**3 - 8*g**3 - 8100*g + 360*g**2.
-4*g*(g - 45)**2
Suppose -30 = -7*y + 2*y. Let j be (-39)/65*(1 - y). Determine f so that -f**4 + 8*f**j + f**2 + f**5 - 2*f**5 - 2*f + 0*f**2 - 5*f**3 = 0.
-2, -1, 0, 1
Let v(z) be the second derivative of z**4 - 37*z - 26/3*z**3 + 1 + 24*z**2. Factor v(m).
4*(m - 3)*(3*m - 4)
Let f(i) be the second derivative of 1/30*i**4 - 1/100*i**5 + 0*i**2 - 6 + 6*i + 2/15*i**3 - 1/300*i**6. Factor f(r).
-r*(r - 2)*(r + 2)**2/10
Let k(h) = 234*h**2 - h + 14. Let v(a) = 78*a**2 - a + 4. Let c(b) = -6*k(b) + 21*v(b). Factor c(l).
3*l*(78*l - 5)
Let b(o) = -35*o + 843. Let h be b(24). Let a(v) be the third derivative of -26*v**2 + 0*v - 1/10*v**6 - 2/3*v**4 + 0 + 2/3*v**5 - 16/3*v**h. Solve a(p) = 0.
-2/3, 2
Let z(d) = 58*d**2 + 57206*d - 16357. Let w(y) = -20*y**2 - 19068*y + 5452. Let g(k) = -13*w(k) - 4*z(k). Solve g(r) = 0 for r.
-681, 2/7
Let u = 274 + -288. Let k be 12/u*(-1 - 1). Factor 3/7*p**2 - k + 9/7*p.
3*(p - 1)*(p + 4)/7
Find b such that -106/3*b**2 - 2/9*b**3 - 104/3*b + 632/9 = 0.
-158, -2, 1
Let b(k) be the third derivative of 1/96*k**4 + 0 - 1/30*k**5 - 1/480*k**6 + 0*k + 86*k**2 + 1/3*k**3. Factor b(f).
-(f - 1)*(f + 1)*(f + 8)/4
Factor -54/5 + 12/5*x**2 - 3/5*x**3 + 9/5*x.
-3*(x - 3)**2*(x + 2)/5
Let j = 59 + 122. Suppose -4*r + 2*u + 146 = 0, 0*r + 4*r = -5*u + j. Factor 9*a + 21*a - 6*a**4 - 72*a**2 - 3*a + r*a**3.
-3*a*(a - 3)**2*(2*a - 1)
Let h be 13/((-117)/126)*(-14 + (-324)/(-24)). What is j in 0 - 1/3*j**5 - h*j**3 - 8/3*j**4 - 8/3*j - 22/3*j**2 = 0?
-4, -2, -1, 0
Let c(t) be the second derivative of 3*t**5/40 + 283*t**4/8 + 421*t**3/2 + 420*t**2 + 76*t + 5. Factor c(v).
3*(v + 1)*(v + 2)*(v + 280)/2
Suppose 832*x - 138*x + 211*x = -1210*x. Factor 0*a**2 + a**3 + x*a + 0 + 1/2*a**4 - 1/2*a**5.
-a**3*(a - 2)*(a + 1)/2
Let w(b) be the first derivative of b**4/26 - 72*b**3/13 + 2688*b**2/13 + 25088*b/13 - 3749. Factor w(g).
2*(g - 56)**2*(g + 4)/13
Let s be ((-240)/(-36))/((-2)/93). Let v = -308 - s. Factor 0 + 6/7*i + 3/7*i**v.
3*i*(i + 2)/7
Suppose 0 = -2*k - 111 - 195. Let g be 3/(-2)*((-1309)/k + -9). Let -2/3*b + 1/3 - 1/3*b**4 + 0*b**2 + g*b**3 = 0. Calculate b.
-1, 1
Suppose -5*r = -4 + 4. Suppose r = 4*w - 3*w + 2*k - 53, 0 = -3*w - k + 139. Find d such that -44*d - 165*d**3 - 13 - 70*d + 39*d - w*d**4 - 185*d**2 + 3 = 0.
-2, -1, -1/3
Let a be (-6 - -3)*16/(-288). Let r(g) be the first derivative of 1/4*g**2 - 1/2*g - 1/8*g**4 + 13 + a*g**3. Let r(h) = 0. Calculate h.
-1, 1
Let q(y) be the first derivative of -y**4/4 + 10*y**3 + 31*y**2/2 + 1713. Factor q(j).
-j*(j - 31)*(j + 1)
Factor -499 - 591*n + 9*n**3 - 36*n**3 + 24*n**3 + 205 - 300*n**2.
-3*(n + 1)**2*(n + 98)
Let o be ((-90)/195)/(80/(-520)). Factor 1/5*b**o + 2/5*b**2 - 1/5*b - 2/5.
(b - 1)*(b + 1)*(b + 2)/5
Let q be (-65)/26*36/(-15). Let u be (q/4)/(7 - 2/2). Factor 0 - u*d**2 - 1/4*d.
-d*(d + 1)/4
Let y(s) be the second derivative of -4/3*s**2 + 4/15*s**5 - 8 + 3*s + 2/9*s**4 + 0*s**6 - 2/3*s**3 - 2/63*s**7. Suppose y(a) = 0. Calculate a.
-1, 1, 2
Let v(j) be the first derivative of -8*j**6/21 + 44*j**5/35 + 79*j**4/7 + 4*j**3/3 - 150*j**2/7 - 72*j/7 + 594. Solve v(p) = 0.
-3, -1, -1/4, 1, 6
Factor -2*c**2 + 11571 + 114*c - 5912 - 6271.
-2*(c - 51)*(c - 6)
Let h be (37544/(-92378))/(6/(-51)). Find o, given that 18*o - h*o**2 + 2/11*o**3 - 162/11 = 0.
1, 9
Let u(q) be the third derivative of 0*q - 29/9*q**3 + 1/90*q**5 - 7/9*q**4 - 104*q**2 + 0. Solve u(b) = 0 for b.
-1, 29
Let l be (-7 - 1*(-2093)/294)*(-1)/(-5). Let s(p) be the first derivative of -2 + 0*p - 2/35*p**5 + 0*p**3 + 0*p**2 + 1/28*p**4 + l*p**6. Factor s(y).
y**3*(y - 1)**2/7
Suppose 305876*t - 128*t**3 - 305876*t - 4*t**2 = 0. Calculate t.
-1/32, 0
Let a be (-134)/(-420) + (-32)/112. Let o(g) be the first derivative of a*g**6 + 0*g**5 - 1 + 0*g**3 + 0*g - 1/10*g**4 + 1/10*g**2. Factor o(y).
y*(y - 1)**2*(y + 1)**2/5
Let p(h) = 4*h**4 + 5*h**3 + 4*h**2 + 3. Let b(d) = 3*d**4 + 6*d**3 - 4*d**2 + 2. Let s(j) = 3*b(j) - 2*p(j). Let s(g) = 0. What is g?
-10, 0, 2
Let b(l) = -26*l**3 + 85*l**2 - 52*l - 207. Let c(t) = 45*t**3 - 171*t**2 + 103*t + 396. Let q(f) = -7*b(f) - 4*c(f). Factor q(i).
(i + 1)*(i + 45)*(2*i - 3)
Let u(r) be the third derivative of 1/180*r**5 + 0*r - 91*r**2 - 1/24*r**4 + 1/9*r**3 + 0. Factor u(c).
(c - 2)*(c - 1)/3
Let k be 48/4*(-7 - (-110)/15). Let b(d) be the third derivative of -1/84*d**k + 2/105*d**5 - 28*d**2 + 0 + 0*d + 1/420*d**6 - 4/21*d**3. Factor b(p).
2*(p - 1)*(p + 1)*(p + 4)/7
Suppose 15*m**3 + 280*m - 56*m**5 - 600*m**2 + 131*m**5 + 257*m**2 - 40*m**5 - 247*m**2 + 260*m**4 = 0. What is m?
-7, -2, 0, 4/7, 1
Let u = -163/136 + 625/408. Let q(k) be the first derivative of 0*k + u*k**3 + 1/5*k**5 - 16 - 1/2*k**4 + 0*k**2. Factor q(s).
s**2*(s - 1)**2
Suppose -4 = -3*l - 4*x, -4*l + 19 + 3 = -3*x. Let y be 12/(-5)*(l - 9). Factor 2*i**4 + 4*i**4 - 12*i - 3*i**3 - 3*i**5 + y*i.
-3*i**3*(i - 1)**2
Let c be ((16/144)/(8/(-6)))/(40/(-18)). Let u(q) be the third derivative of q**2 + 7/40*q**5 + 1/3*q**4 + 0 + c*q**6 + 1/3*q**3 + 18*q. Factor u(a).
(a + 1)*(3*a + 2)**2/2
Let a(y) be the first derivative of -2*y**7/105 - y**6/30 + 2*y**5/15 + 5*y**2 + 2*y + 131. Let p(l) be the second derivative of a(l). Factor p(u).
-4*u**2*(u - 1)*(u + 2)
Let c(v) = -3*v**3 - 606*v**2 - 1869*v. Let h(y) = y**3 + 150*y**2 + 467*y. Let w(t) = -3*c(t) - 13*h(t). Factor w(i).
-4*i*(i + 4)*(i + 29)
Let j(x) be the first derivative of x**4/16 + 83*x**3 + 41334*x**2 + 9148592*x + 20. Factor j(i).
(i + 332)**3/4
Let y be (5/(70/(-432)))/((-14430)/13468). Suppose -4/5*i**2 + 48/5*i - y = 0. Calculate i.
6
Let b(s) be the second derivative of -s**4/6 + 10*s**3/3 + 24*s**2 - 40*s - 4. Find h, given that b(h) = 0.
-2, 12
Let k be (-4 + -10)*(-22)/231. Let z(q) be the second der