21 + 217*u. Factor b(s).
2*s**2*(s + 40)**2/7
Let o = 857/3 - 285. Let c(k) be the first derivative of -o*k**3 + 6*k + 4 - 2*k**2. Factor c(s).
-2*(s - 1)*(s + 3)
Let m(o) be the first derivative of -o**6/2 + 68*o**5/5 - 563*o**4/4 + 2026*o**3/3 - 1442*o**2 + 1176*o - 704. Determine r, given that m(r) = 0.
2/3, 2, 6, 7
Let n(x) be the third derivative of -x**9/7560 + x**8/3360 + x**7/1260 - x**6/360 - 7*x**4/24 + 15*x**2. Let o(k) be the second derivative of n(k). Factor o(i).
-2*i*(i - 1)**2*(i + 1)
Factor -2/21*l**5 + 2/21 - 4/21*l**2 + 4/21*l**3 + 2/21*l**4 - 2/21*l.
-2*(l - 1)**3*(l + 1)**2/21
Factor 13635 + 2470*y**2 - 124*y**3 - 6857 + 27022 + 2*y**4 - 16120*y - 28*y**2.
2*(y - 26)**2*(y - 5)**2
Let w(r) = 17*r**3 - 11*r + 30. Let x(p) = -14*p**3 + p**2 + 9*p - 30. Let u(d) = -5*w(d) - 6*x(d). Factor u(q).
-(q - 2)*(q + 3)*(q + 5)
Let p be (-2)/4*-2*5. Factor 12*n**3 - n - 20*n**3 + 2*n**p + 10*n**3 - 3*n**5.
-n*(n - 1)**2*(n + 1)**2
Let g = 89/984 - 2/41. Let q(h) be the third derivative of -1/480*h**5 - 7*h**2 + 0 + 0*h + g*h**3 - 1/192*h**4. Suppose q(m) = 0. What is m?
-2, 1
Factor -56 + 50/3*k + 2/3*k**2.
2*(k - 3)*(k + 28)/3
Let k(u) = u**3 - 7*u**2 - 7*u - 5. Let a be k(8). Suppose 7*c = a*c. Find w, given that 6/7*w**2 + 4/7*w**3 + c - 6/7*w**4 - 4/7*w = 0.
-1, 0, 2/3, 1
Let q(x) be the third derivative of -x**7/315 + x**6/135 + 23*x**5/270 - 11*x**4/27 + 4*x**3/9 - 23*x**2 - 1. Let q(g) = 0. Calculate g.
-3, 1/3, 2
Let b be ((-4)/10)/(6/(-5)). Let w = -569/7 - -1721/21. Suppose i + 0*i**2 - w - b*i**3 = 0. What is i?
-2, 1
Let h = 46612/163191 + 2/23313. Factor f**3 - f - h + 2/7*f**2.
(f - 1)*(f + 1)*(7*f + 2)/7
Let l(x) = 5*x - 30. Let y be l(-6). Let p = y - -62. Factor 7/2*h - 9/2*h**p + 1.
-(h - 1)*(9*h + 2)/2
Factor -1152/17 - 98/17*q**2 + 1248/17*q + 2/17*q**3.
2*(q - 24)**2*(q - 1)/17
Solve -5/4*b**2 + 3/2*b + 1/4*b**4 - 1/2*b**3 + 0 = 0 for b.
-2, 0, 1, 3
Let p(x) = x**2 + x. Let g(k) = k**3 - 9*k**2 - 8*k + 2. Let m(u) = 4*g(u) + 28*p(u). Factor m(l).
4*(l - 2)*(l - 1)*(l + 1)
Let s(n) be the third derivative of -30*n**2 + 1/44*n**4 + 0 + 0*n - 1/330*n**6 + 0*n**3 + 1/66*n**5. Suppose s(w) = 0. Calculate w.
-1/2, 0, 3
Suppose 0*o = -6*o + 120. Let a = o + -18. Let -m**5 + 2*m**2 + 4*m**3 - 2 + 4*m - 7*m + 0*m**a = 0. What is m?
-1, 1, 2
Let i = 85/546 + 1/91. Let q = i - -1/2. Let -3*b**2 + 7/3*b + 5/3*b**3 - 1/3*b**4 - q = 0. Calculate b.
1, 2
Let d(b) be the third derivative of b**6/180 - 8*b**5/45 + 16*b**4/9 - b**2 - 18. Solve d(c) = 0.
0, 8
Let d(p) be the third derivative of p**6/840 - p**5/105 + p**4/56 - 23*p**2 - 2. Let d(c) = 0. What is c?
0, 1, 3
Let j(o) = o**4 - o**3 + o + 1. Let t(q) = -4*q**4 + 8*q**3 + 2*q**2 - 5*q - 5. Let f(y) = -5*j(y) - t(y). What is x in f(x) = 0?
-2, -1, 0
Let q = 58 + -41. Let v = q - 15. Let 2 + v*r**5 - 2 + 10*r**4 - 8*r**4 - 4*r**3 = 0. What is r?
-2, 0, 1
Let p(o) be the second derivative of 5*o + 0*o**3 + 0 + 1/120*o**6 - 1/80*o**5 + 0*o**2 + 1/168*o**7 - 1/48*o**4. Factor p(x).
x**2*(x - 1)*(x + 1)**2/4
Suppose 0 = -4*v + v - 3*k + 9, 5*v = -k + 15. Factor -12*b + 2*b**4 - 2*b**2 - 3*b**3 + 0*b**v + 15*b**3.
2*b*(b - 1)*(b + 1)*(b + 6)
Let a(k) be the first derivative of -k**4/10 + 12*k**3/5 - 96*k**2/5 + 256*k/5 + 26. Factor a(g).
-2*(g - 8)**2*(g - 2)/5
Let f(g) = 52*g**3 + 228*g**2 - 88*g - 16. Let i(o) = -18*o**3 - 76*o**2 + 29*o + 5. Let c(q) = -5*f(q) - 16*i(q). Factor c(w).
4*w*(w + 3)*(7*w - 2)
Let z(g) = 3*g**2 + g - 16. Let c(l) = -l**2 + 5. Let i be 5*3 - (1 - -1 - 1). Let f(p) = i*c(p) + 4*z(p). Determine y so that f(y) = 0.
-1, 3
Let j be (-6)/(441/(-14) - -9). Factor 4/15*p**3 + 14/15*p - 16/15*p**2 - 2/15*p**5 + j*p**4 - 4/15.
-2*(p - 1)**4*(p + 2)/15
Let j(l) be the third derivative of -l**5/180 + l**4/9 - 5*l**3/6 - 2*l**2 + 9. Solve j(y) = 0.
3, 5
Let m(j) be the first derivative of 2*j**3/51 - 19*j**2/17 + 96*j/17 + 494. Factor m(b).
2*(b - 16)*(b - 3)/17
Factor -300 - 6*u + 12*u**2 + 6*u**3 - 10*u - 4*u**4 + 2*u**3 + 284.
-4*(u - 2)**2*(u + 1)**2
Let p(b) be the third derivative of 0*b + 8*b**2 + 0 + 5/24*b**4 + 0*b**3 + 1/12*b**5. Factor p(q).
5*q*(q + 1)
Suppose -12 - 9*h**2 - 3/2*h**3 - 18*h = 0. What is h?
-2
Let f(w) be the second derivative of -w**5/20 - w**4/4 + 4*w**3 + 40*w**2 + 13*w - 3. Determine x, given that f(x) = 0.
-4, 5
Suppose 0 = 5*t - 3*p + 46, t + 5*p + 2 = 2*p. Let q be (2/t)/((-7)/84). Find a, given that 2/7*a**4 - 4/7*a**q + 4/7*a - 2/7 + 0*a**2 = 0.
-1, 1
Let u = 94 - 91. Suppose -v + u*v = v. Suppose v*s**4 + 3/5*s - 4/5*s**3 + 1/5*s**5 - 2/5*s**2 + 2/5 = 0. What is s?
-1, 1, 2
What is v in -11/4*v**2 - 13/4*v**4 + 25/4*v**3 + 0 - 1/4*v = 0?
-1/13, 0, 1
Suppose -2*r = -20 + 6. Let b be 15*r/294*(-8)/(-10). Find s such that -b - 2/7*s**2 + 4/7*s = 0.
1
Let h(k) = -4*k**2 - 13*k - 46. Let z(g) = -15*g**2 - 51*g - 177. Let f(w) = -22*h(w) + 6*z(w). Factor f(p).
-2*(p + 5)**2
Let y(z) = z**3 - 51*z**2 + 52*z - 100. Let s be y(50). Solve -3/4*d**5 - 3/4*d**4 + 0 + s*d + 0*d**2 + 0*d**3 = 0.
-1, 0
Let p be (7 - 357/34)/((-14)/2). Find h, given that -1/4*h**2 + 5/4*h**3 + 1/4*h**4 - p*h - 3/4*h**5 + 0 = 0.
-1, -2/3, 0, 1
Factor 0 + 0*s - 2/3*s**2 + 1/6*s**3.
s**2*(s - 4)/6
Let d(j) = -47*j**3 + 72*j**2 - 16*j. Let x(c) = 24*c**3 - 21*c**2 - 24*c**2 + 8*c - c**2 + 10*c**2. Let i(z) = 4*d(z) + 9*x(z). What is t in i(t) = 0?
0, 2/7, 1
Factor -8 - 210*y - 62*y**2 + 66*y**2 + 206*y.
4*(y - 2)*(y + 1)
Let s(m) be the second derivative of 1/9*m**2 + 8*m - 1/36*m**4 - 1/180*m**5 + 1/54*m**3 + 1/270*m**6 + 0. Factor s(b).
(b - 2)*(b - 1)*(b + 1)**2/9
Suppose -3964037*z**4 + 468*z + 3127*z**2 + 711828*z**3 - 2288944*z**4 - 3 - 30505*z**2 - 687342*z**4 = 0. What is z?
1/39
Solve -133*d - 17689/2 - 1/2*d**2 = 0.
-133
Let y(r) be the second derivative of -r**5/120 + 23*r**4/72 + 49*r**3/36 + 25*r**2/12 + 8*r - 10. Factor y(c).
-(c - 25)*(c + 1)**2/6
Let p = -13570/39 + 348. Let o(n) be the second derivative of -p*n**4 + 0 - 5/39*n**3 - 9*n - 1/13*n**2. Factor o(q).
-2*(q + 1)*(4*q + 1)/13
Factor -9*r + 15*r**4 - 4069*r**3 - 24*r**2 + 3*r**5 + 4075*r**3 + 9*r.
3*r**2*(r - 1)*(r + 2)*(r + 4)
Let w(f) = -2*f - 2. Let d be w(-3). Factor 0*a**d + 2*a + 20*a**2 - 10*a - 4*a**3 - 8*a**4.
-4*a*(a - 1)*(a + 2)*(2*a - 1)
Let g(i) = 43*i - 10. Let m be g(-5). Let r be (0 - (-1 + -4))*(-10)/m. Factor 4/9*z + 2/3 - r*z**2.
-2*(z - 3)*(z + 1)/9
Let c(a) be the first derivative of -1/3*a**6 - 4*a**2 - 13/2*a**4 + 0*a - 8*a**3 - 1 - 12/5*a**5. Factor c(s).
-2*s*(s + 1)**2*(s + 2)**2
Let p = -224 - -228. Let s(h) be the second derivative of -5*h + 0 + 0*h**2 - 1/2*h**3 - 1/4*h**p. Find y such that s(y) = 0.
-1, 0
Let x be ((-16)/(-10) - 2) + (-4526)/(-6840). Let k = x + -2/171. Find f such that 0 + 0*f**2 - k*f**3 + 1/4*f = 0.
-1, 0, 1
Let n(l) be the third derivative of -l**7/1470 - l**6/140 - 3*l**5/140 - 209*l**2. Factor n(f).
-f**2*(f + 3)**2/7
Let f be -1 + 9/3 + -1. Let h(g) = 2*g. Let j be h(f). Factor 0*c**4 + c**4 + j*c + 0*c**4 + 5*c**2 + 4*c**3.
c*(c + 1)**2*(c + 2)
Let r be -1 - (-18)/(-30)*20/(-2). Let q(f) be the first derivative of -5 + 2/3*f**3 - 8/7*f - 2/7*f**2 + 3/35*f**r + 13/28*f**4. Factor q(a).
(a + 1)*(a + 2)**2*(3*a - 2)/7
Let n(i) be the second derivative of 3*i**5/40 + 17*i**4/8 + 31*i**3/4 + 45*i**2/4 - 40*i - 2. Factor n(w).
3*(w + 1)**2*(w + 15)/2
Let x = -32 + 34. Let j + 2*j + 4*j**2 - j**3 - x*j + 1 - 5*j**2 = 0. Calculate j.
-1, 1
Suppose 14 - 5*w**3 + 5*w - 5 - 1 - 10*w**2 + 2 = 0. Calculate w.
-2, -1, 1
Let h = -18131/15 + 1209. Factor h*y - 2/15*y**2 - 2/15.
-2*(y - 1)**2/15
Let m = -29 - -31. Determine r so that -4*r**2 - 6*r + 2*r**m - r**2 = 0.
-2, 0
Let o(a) = 42*a - 84. Let m(d) = d**2 + 44*d - 85. Let y(r) = 3*m(r) - 4*o(r). Factor y(w).
3*(w - 9)*(w - 3)
Solve 30*y + 135*y**2 + 3*y**3 + 3*y**4 + 19*y**3 + 26*y + 187*y + 11*y**3 + 162 = 0.
-3, -2
Let r(z) = -12*z**2 + 540*z + 1096. Let d(v) = 10*v**2 - 542*v - 1096. Let g(p) = 8*d(p) + 7*r(p). Factor g(m).
-4*(m + 2)*(m + 137)
Let j(l) be the third derivative of -l**6/120 - 11*l**5/20 - 31*l**4/12 + 368*l**2. Factor j(h).
-h*(h + 2)*(h + 31)
Let q(n) be the third derivative of 5*n**6/66 + 23*n**5/66 + 7*n**4/33 - 49*n**3/33 - 348*n**2. Factor q(w).
2*(2*w - 1)*(5*w + 