 Factor u*f**2 + 0 - 2*f.
2*f*(f - 5)/5
Factor -t - 1/2*t**2 + 24.
-(t - 6)*(t + 8)/2
Suppose -77 = 4*n - 113, 2*b + 3*n = 31. Factor -9/5 - 1/5*x**3 - 7/5*x**b - 3*x.
-(x + 1)*(x + 3)**2/5
Let g(q) be the first derivative of q**3/3 + 5*q**2/2 - 36*q + 4671. Let g(i) = 0. Calculate i.
-9, 4
Solve 1/3*y**2 + 488*y + 0 = 0.
-1464, 0
Let r(c) = -c**3 + 49*c**2 - 43*c - 237. Let n be r(48). Let a(g) be the first derivative of 26 + 2/39*g**n - 4/13*g + 1/13*g**2. Factor a(x).
2*(x - 1)*(x + 2)/13
Let u be 10/12 - 1/3. Let z = -386488 + 386488. What is x in -3/4*x**2 + 1/4*x**3 + u*x + z = 0?
0, 1, 2
Let h(m) be the first derivative of -3430*m**3/39 - 52*m**2 + 8*m/13 - 12. Solve h(b) = 0.
-2/5, 2/343
Suppose -f + 20*f = -19. Let n be (f/4)/(2 - 25/12). Determine s, given that 0 + 2/5*s**n - 4/5*s**2 + 0*s = 0.
0, 2
Suppose 2 = l + 2*s - 1, -2*l + 3*s = 15. Let c be 2/(l*(-2)/6). Determine w so that 2*w**3 - 5*w - 8 + 8*w**3 - 15*w**c - 35*w - 7 = 0.
-1, -1/2, 3
Let q(c) be the second derivative of -10/3*c**3 + 0 - 12*c**2 + 7/3*c**4 - 2/15*c**6 + 80*c + c**5. Factor q(s).
-4*(s - 6)*(s - 1)*(s + 1)**2
Let l = 896349/8 + -112043. Solve 1/8*i**4 + l*i**2 - 7/8*i - 3/4 + 7/8*i**3 = 0 for i.
-6, -1, 1
Let y(k) be the second derivative of -4*k**3 + 50 - 3*k - 1/20*k**6 + 3/40*k**5 + 2*k**4 + 0*k**2. Find u, given that y(u) = 0.
-4, 0, 1, 4
Let p = -19955 - -19958. Factor 7/6*n + 3/2*n**2 + 5/6*n**p + 1/3 + 1/6*n**4.
(n + 1)**3*(n + 2)/6
Let n(k) be the first derivative of k**8/560 - 9*k**7/280 + k**6/15 + 8*k**3/3 - 8*k - 14. Let c(x) be the third derivative of n(x). Factor c(i).
3*i**2*(i - 8)*(i - 1)
Let t(g) = 2*g**3 + 5*g**2 + 8*g + 8. Let x be t(-2). Let z(c) = c**2 - 242*c + 4. Let o(l) = -l**2 + 2*l + 1. Let b(n) = x*o(n) + z(n). Factor b(m).
5*m*(m - 50)
Let u(s) = -383 - 15*s + s - 154 + s + 188. Let c be u(-27). Factor -8/3*j**3 + 0*j**4 - 4/3 + 2/3*j**5 + c*j + 4/3*j**2.
2*(j - 1)**3*(j + 1)*(j + 2)/3
Let q(h) be the first derivative of h**5/40 + 5*h**4/24 + 2*h**3/3 + 35*h**2 + 91. Let v(k) be the second derivative of q(k). Factor v(j).
(j + 2)*(3*j + 4)/2
Let w(z) be the third derivative of -1/900*z**6 + 0 - 7/36*z**4 - z + 5/9*z**3 + 11/450*z**5 - 18*z**2. Factor w(t).
-2*(t - 5)**2*(t - 1)/15
Let w(o) be the first derivative of -2*o**3/3 + 68*o**2 - 1451. Determine p, given that w(p) = 0.
0, 68
Suppose -y = 3*l - 18, 5*l - 19 = 5*y + 11. Determine q, given that 0 + 0*q + 1/6*q**4 - 7/6*q**3 + y*q**2 = 0.
0, 7
Let r be ((-348)/522)/(1/(-6)). Let p(b) be the second derivative of 0*b**r + 0*b**3 - 6*b + 0*b**2 + 1/20*b**5 + 0. Factor p(w).
w**3
Let r be 7128/243 + (0/(-2))/(3 - 1). Factor -28/3*v**2 - 80/3 + r*v + 2/3*v**3.
2*(v - 10)*(v - 2)**2/3
Let i(g) = -g**4 - g**2 - 4*g - 1. Let d(h) = 3*h**4 - 5*h**3 + 36*h**2 - 20*h + 4. Let v(u) = -d(u) - 4*i(u). Factor v(f).
f*(f - 2)**2*(f + 9)
Let x(l) = 8*l - 18 - 3660*l**2 + 3663*l**2 - 8. Let j be x(2). Let 2/3*b**j - 40/3*b + 200/3 = 0. What is b?
10
Factor 285*w - 5/6*w**2 + 1715/6.
-5*(w - 343)*(w + 1)/6
Let a(b) be the first derivative of 0*b - 44/9*b**3 + 51 + 7/12*b**4 + 2*b**2. What is x in a(x) = 0?
0, 2/7, 6
Let c = 760 + -760. Let o(g) be the second derivative of c*g**3 + 0 + 0*g**2 + 1/4*g**4 - 18*g + 1/15*g**6 - 7/20*g**5. Suppose o(f) = 0. Calculate f.
0, 1/2, 3
Let -n**3 + 59/2*n**2 + 0 - 55*n = 0. What is n?
0, 2, 55/2
Let a(t) be the first derivative of t**4/8 - 3*t**3/2 - t**2/4 + 9*t/2 + 3011. Factor a(p).
(p - 9)*(p - 1)*(p + 1)/2
Let n(q) be the third derivative of q**7/840 + 13*q**6/480 - 19*q**5/240 - 73*q**4/96 - 7*q**3/4 + 1049*q**2. Factor n(t).
(t - 3)*(t + 1)**2*(t + 14)/4
Let w = 1076281 - 1076281. Determine q so that -15/2*q + 15/2*q**3 - 3/2*q**4 + 3/2*q**2 + w = 0.
-1, 0, 1, 5
Let y(n) be the second derivative of -1/3*n**2 + 0 - 184*n - 1/18*n**4 + 2/9*n**3. Factor y(v).
-2*(v - 1)**2/3
Let r(h) be the third derivative of 1/60*h**4 - 1/300*h**6 + 1/5*h**3 + 0 + 59*h**2 - 1/50*h**5 + 0*h. Factor r(t).
-2*(t - 1)*(t + 1)*(t + 3)/5
Let m(t) = -5*t**2 - 1839*t + 3689. Let w(i) = -i**2 - 460*i + 922. Let k(r) = -2*m(r) + 9*w(r). Factor k(l).
(l - 460)*(l - 2)
Let v(d) = 4*d**2 + 16*d - 234. Let o(w) = w**2 - 3*w. Let c(r) = -5*o(r) + v(r). What is m in c(m) = 0?
13, 18
Solve -2366 + 45/2*m**2 + 1/2*m**3 + 156*m = 0.
-26, 7
Let m be -4 - (-80)/15 - (-40)/24. Factor 41 - 91*f + 426*f - 206 + 7*f**3 - 175*f**2 + f**m - 3*f**3.
5*(f - 33)*(f - 1)**2
Let z(v) be the second derivative of v**7/168 - 37*v**6/60 + 9*v**5 - 863*v**4/24 + 1583*v**3/24 - 63*v**2 + 2717*v. Solve z(y) = 0 for y.
1, 8, 63
Let t(o) be the first derivative of 2/9*o**3 + 19/90*o**5 + 17/2*o**2 + 16 + 7/12*o**4 + 0*o. Let b(l) be the second derivative of t(l). Factor b(u).
2*(u + 1)*(19*u + 2)/3
Suppose 9*a + 3*w = 8*a + 39, -5*w + 105 = 3*a. Suppose 0 = -a*o + 38*o. Factor o*m**2 + 15/2*m - 5 - 5/2*m**3.
-5*(m - 1)**2*(m + 2)/2
Suppose -3*r + 10763 = -2*m + m, 0 = -3*r - 5*m + 10751. Let p = r - 2449. Factor -p + 1158 - 31*z**2 - 4*z**2 - 15*z.
-5*(z + 1)*(7*z - 4)
Suppose -49*p = -34*p - 45. Let d be (2/(-4))/(10/(-20)). Factor 1 - 8*s**2 - d - 16*s**p + 589*s**4 - 595*s**4.
-2*s**2*(s + 2)*(3*s + 2)
Let j(x) be the third derivative of -x**7/105 - 5*x**6/12 + 19*x**5/10 + 27*x**4/4 - 127*x**2 - 10*x. Factor j(p).
-2*p*(p - 3)*(p + 1)*(p + 27)
Let k = -10492 + 10494. Let l(p) be the first derivative of -147/4*p**4 + 63*p**3 + 7 - 45/2*p**k + 3*p. Let l(q) = 0. Calculate q.
1/7, 1
Let h(z) be the third derivative of -z**8/84 + z**6/6 - 2*z**4/3 + 818*z**2. Suppose h(k) = 0. Calculate k.
-2, -1, 0, 1, 2
Let c(r) be the second derivative of r**6/15 + 3*r**5/10 - 5*r**4/6 - r**3 + 4*r**2 + 4*r - 228. Factor c(o).
2*(o - 1)**2*(o + 1)*(o + 4)
Let a = 631316 + -631316. Factor a*i**2 + 4/3*i**4 - 8/3*i + 8/3*i**3 - 4/3.
4*(i - 1)*(i + 1)**3/3
Let d(n) be the third derivative of n**5/270 - 38*n**4/27 - 17*n**3/3 + n**2 - 9*n - 84. Factor d(o).
2*(o - 153)*(o + 1)/9
Let d(m) be the first derivative of 9/4*m**4 + 0*m**2 + 2*m**3 + 3/5*m**5 + 0*m + 55. Find l, given that d(l) = 0.
-2, -1, 0
Let a = -4478699/150 - -29858. Let c(t) be the second derivative of 0 - a*t**5 + 4/15*t**2 + 1/18*t**4 + 3*t - 8/45*t**3. Factor c(m).
-2*(m - 2)**2*(m - 1)/15
Let r(s) be the third derivative of s**6/150 - 8*s**5/25 - 151*s**4/30 + 116*s**3/5 - 2*s**2 - 194*s. Factor r(h).
4*(h - 29)*(h - 1)*(h + 6)/5
Let w(h) = -11 - h**2 - 6*h - 2*h + 4*h + 38. Let j be w(-6). Suppose 3 - 48*b - j - 119*b**2 + 222*b**2 - 124*b**2 = 0. Calculate b.
-2, -2/7
Factor -4*i - 39789*i**5 - 2*i**4 + 39792*i**5 - 28 - 3*i**4 + 28 - 19*i**2 - 23*i**3.
i*(i - 4)*(i + 1)**2*(3*i + 1)
Let -16/3*k**4 + 152/9*k + 0 + 2/9*k**5 + 206/9*k**3 - 104/3*k**2 = 0. Calculate k.
0, 1, 2, 19
What is q in 1/5*q**2 + 0 + 48/5*q = 0?
-48, 0
Let j(n) be the first derivative of -4*n**3 + 106*n**2 + 72*n - 92. Let q(p) = 12*p**2 - 212*p - 72. Let d(r) = 2*j(r) + 3*q(r). Factor d(y).
4*(y - 18)*(3*y + 1)
Let j(o) be the second derivative of o**6/165 + 13*o**5/110 + o**4/3 + 2*o - 128. Let j(w) = 0. What is w?
-11, -2, 0
Let t be (-100)/12*(-10)/25 + ((-640)/(-60))/(-8). Factor -148/3*x - 2/3*x**t - 2738/3.
-2*(x + 37)**2/3
Let r(f) be the first derivative of f**4/16 - 43*f**3/12 + 39*f**2/2 + 10448. Factor r(w).
w*(w - 39)*(w - 4)/4
Factor -20*b + 14*b**2 - 31*b**4 + 12*b**4 + 17*b**4 + 8*b**3.
-2*b*(b - 5)*(b - 1)*(b + 2)
Let o(y) be the third derivative of y**8/336 + 11*y**7/30 - y**6/40 - 229*y**5/60 + 77*y**4/12 - 3*y**2 + 88*y + 5. Solve o(v) = 0.
-77, -2, 0, 1
Let h(u) be the first derivative of u**5/20 + u**4/4 - u**3/12 - u**2/2 - 6983. Factor h(a).
a*(a - 1)*(a + 1)*(a + 4)/4
Suppose 68*b + 453 + 544 = 1201. Determine v, given that -40/9*v + 40/9*v**b - 14/3 + 44/9*v**2 - 2/9*v**4 = 0.
-1, 1, 21
Let c be (-42)/15*20/8. Let a(g) = -g**3 - 9*g**2 - 18*g - 24. Let v be a(c). Let -35*p**3 - 2*p**2 - 15*p**v + 7*p**2 + 310 - 300 + 35*p = 0. Calculate p.
-2, -1, -1/3, 1
Let g(p) be the second derivative of -5*p**3 - 71*p + 0 - 50/3*p**2 - 2/3*p**4 - 1/30*p**5. Factor g(b).
-2*(b + 2)*(b + 5)**2/3
Let x(z) be the second derivative of 16/15*z**6 - 1/21*z**7 + 0 - 201*z + 100/3*z**4 + 0*z**2 - 9*z**5 - 125/3*z**3. Factor x(k).
-2*k*(k - 5)**3*(k - 1)
Let m(t) be the 