e of 0*v + 0*v**3 - g - 6/5*v**2 + 3/20*v**4. Factor y(d).
3*d*(d - 2)*(d + 2)/5
Let z = 1576637/19910 - -47/3982. Factor z*t + 13068/5 + 3/5*t**2.
3*(t + 66)**2/5
Let d be (10/25)/((-4)/(-3636) - 0). Let g = -362 + d. Find v, given that 4/5*v**2 - g*v**3 + 0 + 4/5*v**4 + 0*v = 0.
0, 1
Let j be 13 + 27*(-8)/24. Let c(f) be the third derivative of 0*f**3 - 20*f**2 + 1/4*f**j + 1/80*f**6 - 1/10*f**5 + 0 + 0*f. Factor c(w).
3*w*(w - 2)**2/2
Suppose -4*b - 5 = 6*f + 1, -5*b + 3*f = -3. Suppose -3/7*h**2 - 81/7*h + b = 0. Calculate h.
-27, 0
Let p be 430/175 + 97/((-91665)/54). Determine f so that -88/5*f**2 + 96/5 - p*f**3 - 16*f = 0.
-6, -2, 2/3
Let j = -4232/34853 + -4/383. Let v = j - -115/182. Factor -2*m + v*m**2 - 5/2.
(m - 5)*(m + 1)/2
Let t(f) be the third derivative of -1/70*f**7 - 1/2*f**4 - 1/8*f**6 + 0*f - 2/5*f**5 + 0*f**3 + 0 - 17*f**2. Factor t(h).
-3*h*(h + 1)*(h + 2)**2
Let m(o) be the third derivative of o**8/336 + 71*o**7/14 + 25205*o**6/8 + 8947775*o**5/12 + 598*o**2. Factor m(c).
c**2*(c + 355)**3
Let u(j) be the third derivative of -j**8/1176 - 4*j**7/245 + 3*j**6/28 - 2*j**5/105 - 5*j**4/7 - 36*j**2. Solve u(f) = 0.
-15, -1, 0, 2
Let k(g) be the third derivative of -g**10/15120 + g**8/1680 - g**6/360 + 71*g**4/24 + 51*g**2. Let d(f) be the second derivative of k(f). Factor d(u).
-2*u*(u - 1)**2*(u + 1)**2
Let -59/2*d - 63 + 11/2*d**2 = 0. What is d?
-18/11, 7
Let p(y) = -4*y**5 + 62*y**4 - 70*y**3 - 6*y**2 - 6*y + 6. Let u(n) = n**4 + n**3 + n**2 + n - 1. Let t(w) = p(w) + 6*u(w). Factor t(d).
-4*d**3*(d - 16)*(d - 1)
Let n(l) be the first derivative of -19*l**3 - 63/4*l**4 - 1/2*l**6 - 9*l**2 + 0*l - 227 - 27/5*l**5. Factor n(x).
-3*x*(x + 1)**3*(x + 6)
Suppose -2366 = -496*u - 687*u. Suppose -56/9*s**2 + 2/3*s**4 - 4/9*s**3 + 4*s + u = 0. What is s?
-3, -1/3, 1, 3
Suppose -879*a + 743*a = 1552*a - 983 - 12521. Find b, given that -a + 4/3*b + 4/3*b**2 = 0.
-3, 2
Suppose -34363*n = -4*c - 34359*n - 60, 0 = c + 5*n - 87. Solve -1/8*d**c - 3/4 + 7/8*d = 0 for d.
1, 6
Find p, given that -2*p**4 + p**3 + p**5 + 940227*p**2 - 940227*p**2 = 0.
0, 1
Let l be (-186)/48 - (-1)/(-8). Let i(t) = 3*t**3 - 10*t**2 + 7*t + 4. Let s(u) = 3*u**3 - 11*u**2 + 8*u + 5. Let j(c) = l*s(c) + 5*i(c). Factor j(r).
3*r*(r - 1)**2
Let s = 147785/18 - 8210. Let q(r) be the first derivative of 14/27*r**3 + s*r**4 + 1/3*r**2 + 40 + 0*r + 2/45*r**5. Factor q(k).
2*k*(k + 1)**2*(k + 3)/9
Let j = -8400101/7 - -1200026. Let 111/7*t**2 - 12/7*t**4 + j*t - 27/7 - 9/7*t**3 = 0. What is t?
-3, -1, 1/4, 3
Let s(i) be the third derivative of i**7/1680 + 11*i**6/320 + 27*i**5/32 + 729*i**4/64 + 729*i**3/8 + i**2 - 1274*i + 2. Let s(h) = 0. Calculate h.
-9, -6
Suppose w - l = 0, 2*l = 4*w - 14 + 4. Suppose 0 = -w*k + 5*n + 65, 2*k - 61 = -2*k - 5*n. Suppose b**3 + 2*b**3 + 27*b + 18*b**2 + k - 2 = 0. Calculate b.
-4, -1
Suppose 2*t = d - 113, 107 = -2*t + d - 2*d. Let v = t - -58. Factor 3 - 14*r**4 - 31*r**4 - 30*r**2 + 12*r**5 + 49*r**3 - 14*r**3 + 25*r**v.
3*(r - 1)**4*(4*r + 1)
Let v(b) = -b**2 - 8*b - 13. Let s be v(-8). Let u be (-4 - s) + (-119)/14. Factor 0*f + u*f**2 + 0*f**3 - 1/4*f**4 - 1/4.
-(f - 1)**2*(f + 1)**2/4
Suppose -10*b + 71 - 21 = 0. Factor -4*q + 12*q**b + 2*q + q**4 - 3*q**3 - 30*q**5 - 5*q**2 + 19*q**5.
q*(q - 2)*(q + 1)**3
Let w(m) be the first derivative of -m**6/540 + m**5/54 - m**4/27 - 33*m**2/2 - 2*m - 26. Let z(g) be the second derivative of w(g). Factor z(f).
-2*f*(f - 4)*(f - 1)/9
Let y(c) be the second derivative of 5*c**4/36 + 110*c**3/9 - 1225*c**2/6 + 12674*c. Factor y(v).
5*(v - 5)*(v + 49)/3
Let y(l) = -2*l**4 + 32*l**3 + 131*l**2 + 94*l. Let n(x) = 25*x**4 - 415*x**3 - 1700*x**2 - 1220*x. Let r(w) = 3*n(w) + 40*y(w). Factor r(h).
-5*h*(h - 10)*(h + 1)*(h + 2)
Suppose -91*i = 59*i - 80*i. Factor -2/7*y**3 - 18/7*y + i + 12/7*y**2.
-2*y*(y - 3)**2/7
Suppose 0 = -3*q + 9, -x - 5*q + 14 = -3. Let m(r) be the first derivative of 1/15*r**3 - 1/5*r - 6 + 0*r**x. Factor m(n).
(n - 1)*(n + 1)/5
Suppose 5*n = -3*j - 31, -3*n = -2*j + j + 13. Let s be (j - (-32)/20)/(7/(-10)). Factor 0 + 0*l - s*l**2 + 2/7*l**5 - 8/7*l**4 + 10/7*l**3.
2*l**2*(l - 2)*(l - 1)**2/7
Let c(r) be the third derivative of 1/18*r**4 + 0*r + 0 - 7/27*r**3 + 1/270*r**5 + 64*r**2. What is g in c(g) = 0?
-7, 1
What is x in 90 + 3/4*x**4 + 9/2*x**3 - 159/2*x - 63/4*x**2 = 0?
-6, -5, 1, 4
Let d(g) be the first derivative of -g**3/9 + 335*g**2 - 336675*g - 2761. Factor d(b).
-(b - 1005)**2/3
Suppose 0 = -5*v - 3*b - 30 - 8, -5*v + b + 26 = 0. Solve 3*s**4 + 4*s - 8/3 + 14/3*s**v - 9*s**3 = 0.
-2/3, 2/3, 1, 2
Let p = -642221 + 646974. Let p*y**4 - 1029/4*y**5 - 283*y - 369/2*y**2 + 10283/4*y**3 - 38 = 0. Calculate y.
-2/7, 1/3, 19
Let k = -205427/187 - -12093/11. Determine b so that 4/17*b**4 + 0*b + 2/17*b**5 + 8/17*b**2 - k*b**3 + 0 = 0.
-4, 0, 1
Let x(c) be the third derivative of -c**5/360 - c**4/16 - 7*c**3/18 - 1511*c**2 - 2*c. Factor x(i).
-(i + 2)*(i + 7)/6
Let c(d) = -17*d**3 + 5*d**2 + d. Let a be ((-8)/(-12))/((-8)/132). Let m(s) = -6*s**3 + 2*s**2. Let q(o) = a*m(o) + 4*c(o). What is n in q(n) = 0?
-2, 0, 1
Let m(j) be the second derivative of 2/15*j**6 - j + 56/3*j**3 - 32*j**2 - 4*j**4 - 1/5*j**5 + 32. Factor m(u).
4*(u - 2)**2*(u - 1)*(u + 4)
Let a(h) be the third derivative of h**6/80 + 4*h**5/5 - 223*h**4/16 + 95*h**3/2 + 9*h**2 + 4*h + 6. Factor a(j).
3*(j - 5)*(j - 1)*(j + 38)/2
Let i be (458/(-50))/(0 + (-570)/75). Let n = i - 1/190. Factor -1/5*z**4 - 4/5 - 13/5*z**2 - 12/5*z - n*z**3.
-(z + 1)**2*(z + 2)**2/5
Factor -33/7*o**2 - 60/7 + 48*o.
-3*(o - 10)*(11*o - 2)/7
Let r = -3136 + 3139. Suppose 2*k = -k + 6. Find d such that 2*d + 2 - d**3 + 6*d**k + 2*d**r + 10*d + 6 = 0.
-2
Let w be ((-6)/9)/(((-140)/(-45))/1). Let g = w + 233/42. Factor -4/3*b**2 - 16/3 - g*b.
-4*(b + 2)**2/3
Let n be (-502)/(-180) + (-208)/234 + (-3)/(-6). Factor 16/5*w**3 - 16*w - n*w**2 - 10 - 2/5*w**4.
-2*(w - 5)**2*(w + 1)**2/5
Suppose -3/5*m**4 - 96/5*m - 12/5*m**3 + 84/5*m**2 + 0 = 0. What is m?
-8, 0, 2
Let q(v) be the second derivative of -5*v**4/48 - 527*v**3/8 - 79*v**2/2 + 8953*v. Solve q(x) = 0 for x.
-316, -1/5
Suppose -5*v - s = -11, -2*v - 4*s = 5 - 13. Factor -8 + 24*a - 22*a**v + 19*a**4 - 2*a**4 + 2*a**3 - 11*a**4 + 2*a**5 - a**5 - 3*a**5.
-2*(a - 2)*(a - 1)**3*(a + 2)
Find h, given that 0 - 1/5*h**2 + 33/5*h = 0.
0, 33
Let s(n) = -215*n**4 - 135*n**3 + 380*n**2 + 380*n + 80. Let g(x) = -8*x**4 - 5*x**3 + 14*x**2 + 14*x + 3. Let a(q) = -80*g(q) + 3*s(q). Factor a(v).
-5*v*(v - 2)*(v + 1)*(v + 2)
Let d(h) be the first derivative of 2*h**5/5 + 9*h**4/2 + 2*h**3 - 37*h**2 + 48*h - 5491. Determine t, given that d(t) = 0.
-8, -3, 1
Let u(x) be the first derivative of -x**4 - 544*x**3/3 + 550*x**2 - 552*x - 1121. Factor u(k).
-4*(k - 1)**2*(k + 138)
Let w(q) = q**3 - 6*q**2 + q + 12. Let m be w(5). Let y be m/60*1 - (-49)/30. Find a such that 0*a - y*a**2 + 0 + 3/2*a**4 + 1/2*a**5 - 1/2*a**3 = 0.
-3, -1, 0, 1
Let c = -5257 + 5275. Let k(n) be the second derivative of 0 - c*n - 3/11*n**2 - 5/11*n**3 - 4/11*n**4 - 6/55*n**5. Suppose k(d) = 0. What is d?
-1, -1/2
Factor 38/5*f**2 + 48 + 188/5*f + 2/5*f**3.
2*(f + 2)*(f + 5)*(f + 12)/5
Factor -d**3 - d**3 - 14*d**4 + 3641*d**2 - 3627*d**2 + 2*d**5.
2*d**2*(d - 7)*(d - 1)*(d + 1)
Let x(b) be the first derivative of 2*b**3/3 + 559*b**2 - 3372*b + 8582. Factor x(o).
2*(o - 3)*(o + 562)
Factor 153*g + 95*g - 138*g + 46*g**2.
2*g*(23*g + 55)
Suppose 27*g - 18710 = -593. Let w = g + -666. Solve 1/6*q**w + 0 + 1/2*q**3 + 0*q - 5/6*q**4 + 3/2*q**2 = 0.
-1, 0, 3
Let q be 6/2*(-1446)/(-126)*-2. Let v = q - -69. Suppose v*r**2 - 8/7*r + 16/7 = 0. Calculate r.
4
Let n(x) be the third derivative of x**7/315 - 11*x**6/45 + 17*x**5/18 - 7*x**4/6 + 1755*x**2. Solve n(r) = 0.
0, 1, 42
Suppose -14*v = -15*v + 165. Let k be (198/v)/(13/5 + -1). Determine j, given that k*j**5 + 9/4*j**4 - 27/4 - 9/2*j**3 - 39/2*j**2 - 81/4*j = 0.
-3, -1, 3
Let u(p) = -p - 21. Let t be u(-17). Let s be 66*(-2)/(-2)*(-2)/t. Determine y, given that s*y**2 - 16*y**2 - 3*y + y**2 = 0.
0, 1/6
Let f be 256/(-12)*((-13294)/(-272) + -49). Suppose -1/9*k**2 - 16 + f*k = 0. Calculate k.
12
Factor -11676150*c - 10858819500 - 1/2*c**3 - 4185*c**2.
-(c + 2790)**3