3*f**3 + 0.
2*f**3*(f - 1)*(2*f + 1)/3
Let 8*m + 470*m - 1618*m - 20 - 160 - 160*m**3 + 1555*m**2 - 75*m**4 = 0. What is m?
-6, -2/15, 1, 3
Let w(p) be the first derivative of p**6/33 - 76*p**5/11 + 11065*p**4/22 - 395440*p**3/33 + 1407680*p**2/11 - 7054336*p/11 + 9334. Factor w(a).
2*(a - 83)**2*(a - 8)**3/11
Let o(u) = u**2 - 20*u - 89. Let n be o(-4). Let t**4 - 11*t**2 + 19*t**2 - 2*t**3 - n*t**2 = 0. What is t?
0, 1
Let b(i) = i**3 + 2*i**2 - 8*i - 3. Suppose 9 = -5*x - 6. Let f be b(x). Suppose -3*z**5 - 6*z**3 + 15*z**3 + 3*z**4 - 18*z - 3*z**2 + f*z = 0. Calculate z.
-1, 0, 1, 2
Let o(w) = 10*w**3 + 690*w**2 + 1792*w + 1144. Let d(t) = 2*t**3 + 137*t**2 + 358*t + 229. Let f(m) = 16*d(m) - 3*o(m). Factor f(v).
2*(v + 1)*(v + 2)*(v + 58)
Let o(n) be the third derivative of n**6/300 + 19*n**5/450 + 2*n**4/45 - 41*n**3/6 - 151*n**2. Let j(h) be the first derivative of o(h). Factor j(i).
2*(i + 4)*(9*i + 2)/15
Find o, given that -32/15*o**2 - 2/15*o**3 + 728/15 - 22/15*o = 0.
-13, -7, 4
Let j = 68188 + -68188. Find r such that j + 0*r - 1/4*r**2 + 1/8*r**5 + 1/4*r**4 - 1/8*r**3 = 0.
-2, -1, 0, 1
Let c(u) be the third derivative of 0 - 1/120*u**5 - 4*u**2 + 1/720*u**6 + 0*u - 1/16*u**4 + 7/3*u**3. Let s(h) be the first derivative of c(h). Factor s(t).
(t - 3)*(t + 1)/2
Let x(r) be the second derivative of -r**4/3 + 89*r**3/2 + 67*r**2/2 + 3248*r. Find i such that x(i) = 0.
-1/4, 67
Let o be 5*(-34 + (-1032)/(-30)). Find i such that 1/3*i**o + 7/3*i + 0 = 0.
-7, 0
Let j be (5*7/35)/((-2)/30). Let p be (-72)/(-30) - 1*9/j. Find i, given that 2/3 - 2/3*i**2 + 2/9*i**p - 2/9*i = 0.
-1, 1, 3
Suppose 19*j + 96 = 324. Suppose -90 + 0*c - j*c - 13*c + 50*c**2 - 4*c - 6*c - 5*c**3 = 0. Calculate c.
-1, 2, 9
Let v be (-23 + 184/8)/((-4)/2). Let w(j) be the second derivative of v*j**2 + 16/3*j**4 - 28*j + 0*j**3 + 8/5*j**5 + 0 + 2/15*j**6. Factor w(f).
4*f**2*(f + 4)**2
Let l be ((-2)/84)/((-470)/329). Let z(s) be the third derivative of 1/75*s**5 + 0*s + 0*s**3 + l*s**4 + 1/300*s**6 - 14*s**2 + 0. Let z(f) = 0. What is f?
-1, 0
Let s(v) be the third derivative of v**5/20 + 5*v**4/8 - 7*v**3 + 3*v**2 - 56*v. Find z, given that s(z) = 0.
-7, 2
Let f be (-372)/(-170) + (-4)/(-10). Let j be 19946/(-109703)*(-99)/6. Suppose 10/17 - 8/17*u**5 - 32/17*u - f*u**2 + 40/17*u**j + 2*u**4 = 0. What is u?
-1, 1/4, 1, 5
Suppose 2*b - 1781 = -1773. Factor 39*g - 5*g**b + 0*g - 39*g.
-5*g**4
Let w(h) be the second derivative of -121*h**4/12 - 1771*h**3 - 233289*h**2/2 + 7901*h. Factor w(m).
-(11*m + 483)**2
Let u(z) = -5*z**2 + 110*z + 135. Let i(w) = -7*w**2 + 111*w + 142. Let r(o) = 5*i(o) - 6*u(o). Factor r(y).
-5*(y + 1)*(y + 20)
Let 119/4*p**2 + 3/2 - 125/4*p = 0. Calculate p.
6/119, 1
Let d(l) be the third derivative of -l**6/360 + 7*l**5/9 - 139*l**4/72 - 717*l**2. What is s in d(s) = 0?
0, 1, 139
Let q be 3 + (-4)/12 + (-12)/(-9). Suppose 4*v - 40 = 4*z, v - 40 = -z - q*z. Factor g**2 - 3*g**2 - 17 + 16*g - v.
-2*(g - 4)**2
Let t = -243966 - -243969. Factor 3/5*j**t - 3/5*j**5 + 0*j + 0 + 3/5*j**2 - 3/5*j**4.
-3*j**2*(j - 1)*(j + 1)**2/5
Let t be (-40)/110*2/(-8)*(-8 + 9). Let s(q) be the first derivative of t*q**2 - 1/55*q**5 + 21 + 0*q**4 + 1/11*q**3 + 0*q. Determine a so that s(a) = 0.
-1, 0, 2
Let t(o) = -3*o**3 - 5*o**2 - 11*o - 22. Let s be t(-4). Suppose -177 - 5*h**3 - 36*h**2 + 11*h**2 + s - 15*h + 88 = 0. What is h?
-3, 1
Let z be 1/(0 - (-1)/6). Suppose 2*b - 12 = -2*w, -w - 4*b = -6*w - z. Suppose 0*i**3 + i**3 - 2*i + 0*i**5 + 0*i**5 + 3*i**4 - 3*i**w + i**5 = 0. Calculate i.
-2, -1, 0, 1
Let k(f) be the second derivative of -1/4*f**5 + 0*f**3 + 5/42*f**7 + 45*f - 5/4*f**4 + 1/2*f**6 + 0 + 0*f**2. Factor k(g).
5*g**2*(g - 1)*(g + 1)*(g + 3)
Factor 54*r**3 + 234*r**2 + 6 + 10*r**3 + 2*r**4 + 106 - 540*r + 824*r.
2*(r + 1)**2*(r + 2)*(r + 28)
Let n(c) be the second derivative of 2*c**5/5 - 151*c**4 + 17176*c**3 - 25538*c**2 + 37*c - 7. Find v such that n(v) = 0.
1/2, 113
Find k, given that -221*k**2 + 0*k**3 + 204*k + 2*k**3 + 0*k**3 + 15*k**2 + 0*k**3 = 0.
0, 1, 102
Let z(f) = -421*f + 278. Let a be z(-3). Let x = -3081/2 + a. Find l, given that -4*l + x*l**2 + 8 = 0.
4
Let h(i) = -114*i**2 - 145*i - 304. Let p(a) = -91*a**2 - 146*a - 304. Let z(s) = -4*h(s) + 5*p(s). Factor z(c).
(c - 152)*(c + 2)
Suppose -88 = -4*s + 2*z, 4*s + 0*z + 3*z = 108. Let j = s + -21. Factor -2*k + j - 2*k**2 - k**2 + 8*k - 9*k + 3*k**3.
3*(k - 1)**2*(k + 1)
Solve 143/6*u + 121/6 + 23/6*u**2 + 1/6*u**3 = 0.
-11, -1
Let k be -1 + (7 - (1100/176 + (-1)/4)). Let c(n) be the second derivative of k + 1/60*n**4 - 6*n - 1/15*n**3 + 0*n**2. Suppose c(h) = 0. Calculate h.
0, 2
Factor -1/4*y**3 + 821/4*y + 101/2*y**2 + 309/2.
-(y - 206)*(y + 1)*(y + 3)/4
Let s be (-3*12/27)/(4/(-15)). Let n(o) = 5*o**3 + 48*o**2 - 55*o - 2. Let w(q) = 10*q**3 + 95*q**2 - 110*q - 5. Let d(g) = s*n(g) - 2*w(g). Factor d(z).
5*z*(z - 1)*(z + 11)
Solve 0 + 257/2*t**2 - 1283/4*t**3 + 0*t - 5/4*t**4 = 0.
-257, 0, 2/5
Let q(u) be the first derivative of 27/2*u**2 + 15/4*u**4 + 56 - 12*u**3 - 6*u. Let q(d) = 0. What is d?
2/5, 1
Suppose 5*p = 5*t + 5, 2*p + 0*t - 6 = -2*t. Factor p*h**4 + 20*h**3 - 2*h**2 + 2*h**5 - 22*h**3 + 0*h**5.
2*h**2*(h - 1)*(h + 1)**2
Let h(m) = -m**4 - 71*m**3 - 362*m**2 - 515*m - 228. Let p(d) = d**4 + 70*d**3 + 362*d**2 + 518*d + 231. Let w(s) = -6*h(s) - 5*p(s). Factor w(x).
(x + 1)**2*(x + 3)*(x + 71)
Let x be (4 + (-30)/18)/(-12 - (-1106)/84). Determine a so that 4/3*a**x - 4/3*a + 0 - 1/3*a**3 = 0.
0, 2
Let n be (121/165 + 12/(-30))/(1 - -7). Let k(b) be the first derivative of 0*b + 1/12*b**2 + 13 - n*b**4 + 0*b**3. Factor k(x).
-x*(x - 1)*(x + 1)/6
Let x(s) be the third derivative of -19*s**6/60 - 119*s**5/30 - 25*s**4/3 + 2780*s**2. Find h, given that x(h) = 0.
-100/19, -1, 0
Let h be (1/2155)/((-2)/4). Let a = 3019/2155 + h. Factor 1/5*y**3 + 7/5 - 1/5*y - a*y**2.
(y - 7)*(y - 1)*(y + 1)/5
Let d(f) be the third derivative of 10/3*f**3 + 5/16*f**8 + 5/2*f**4 - 196*f**2 + 0*f - 17/12*f**5 + 13/42*f**7 - 11/8*f**6 + 0. Solve d(z) = 0.
-1, -2/7, 2/3, 1
Let q(x) = x**2 - 1. Let m = 141 + -135. Let l(h) be the first derivative of 8*h**3/3 - h**2 - 6*h + 15. Let t(a) = m*q(a) - l(a). Determine d so that t(d) = 0.
0, 1
Let p be (-8 - -6)/((-1)/2). Suppose 10 = -3*w + 4*h, 0 = p*w - 5*h + 18 - 6. Factor 173*v - 1764*v**w - 192 + 682*v + 413*v - 260*v + 1029*v**3.
3*(7*v - 4)**3
Factor 104*n + 2*n**2 - 11 - n - 29*n + 53 - 30*n.
2*(n + 1)*(n + 21)
Let a(l) be the second derivative of -l**7/15120 - l**6/1440 + 7*l**5/180 + 25*l**4/6 + 39*l. Let b(p) be the third derivative of a(p). Factor b(u).
-(u - 4)*(u + 7)/6
Let r(o) = -3*o**2 + 3*o + 43. Let k(t) = -t**2 + t + 14. Let p(v) = -3*v**2 - 5*v - 12. Let x be p(-2). Let f(i) = x*k(i) + 4*r(i). Let f(a) = 0. Calculate a.
-3, 4
Suppose -2*y - 3*y - 2*y = 0. Suppose 9*n + 1 - 19 = y. What is z in -8 - 41*z**5 + 8*z**4 - 50*z**5 - 32*z**n + 95*z**5 - 28*z - 8*z**3 = 0?
-1, 2
Let q(v) = 5*v**3 + 231*v**2 - 470*v + 60. Let j(f) = f**2 + 10. Let x(p) = 6*j(p) - q(p). Factor x(w).
-5*w*(w - 2)*(w + 47)
Suppose 50*q - 49*q + 51 = 0. Let x = -47 - q. Factor 11*r**2 + 28*r**3 - x*r**4 - 16*r**3 - 4*r**5 + 9*r**2 + 8*r.
-4*r*(r - 2)*(r + 1)**3
Let o be (328/80 - 2/(-4)) + (-62)/(2914/141). Factor -52/5*h**2 - o*h**3 + 90 + 2/5*h**4 + 24*h.
2*(h - 5)**2*(h + 3)**2/5
Let c(n) = 2*n**2 + 25*n + 80. Let t be -3 + -3 + (-17 - -17). Let j be c(t). Factor 5/3*q - 2 - 1/3*q**j.
-(q - 3)*(q - 2)/3
Suppose -2*c - 84 = 3*y, 4*c - 5*c = -3. Let d = y - -53. Find a such that 20*a**5 + 36*a**4 + 8*a - 104*a**4 - 44*a**2 + 61*a**3 + d*a**3 = 0.
0, 2/5, 1
Let z(w) be the third derivative of w**7/42 - 11*w**6/12 + 145*w**5/12 - 95*w**4/2 - 330*w**3 + 2*w**2 + 3076. Factor z(p).
5*(p - 11)*(p - 6)**2*(p + 1)
Suppose -5*x + 2 = -4*i, -70*x - 12 = -9*i - 67*x. Factor -4/3*g**i + 2/9*g + 4/3 - 2/9*g**3.
-2*(g - 1)*(g + 1)*(g + 6)/9
Let f(q) = 8*q**2 + 21*q + 3. Let z(o) = -4*o**2 - 11*o - 1. Let a(v) = 102*v + 2. Let k be a(1). Let d = k - 109. Let r(i) = d*z(i) - 3*f(i). Factor r(w).
-4*(w + 1)**2
Suppose -10*i - 26 = -46. Let g(y) = -2*y**2 + y + 2. Let o(v) = v + 2. Let s(h) = i*g(h) - 2*o(h). Factor s(m).
-4*m**2
Let q = -168329/3 - -56111. Factor 0*d 