*u**2 - 55*u + 3. Factor x(a).
2*(a - 15)*(7*a + 2)/5
Let x(c) be the first derivative of 0*c - 21 - 1/15*c**5 - 7/9*c**3 + 5/12*c**4 + 1/2*c**2. Let x(u) = 0. Calculate u.
0, 1, 3
Factor -5*i**2 + 0 + 3/2*i**3 - 4*i.
i*(i - 4)*(3*i + 2)/2
Let v(j) be the first derivative of -2*j**5/65 + 3*j**4/26 + 32*j**3/39 + 12*j**2/13 - 95. Find c, given that v(c) = 0.
-2, -1, 0, 6
Let w(p) be the first derivative of 1/12*p**3 - 1/4*p**2 - 4 + 0*p. Let w(g) = 0. Calculate g.
0, 2
Let t(v) be the first derivative of -46 + 0*v**4 + 0*v**2 + 2/35*v**5 + 0*v + 0*v**3. Let t(y) = 0. What is y?
0
Let p(a) = -5*a**2 - 10*a - 12*a + 12 + 28*a - 16*a. Let t(n) = 5*n**2 + 10*n - 11. Let j(i) = -4*p(i) - 3*t(i). Let j(k) = 0. Calculate k.
-3, 1
Factor -39/4*q**2 - 39*q - 45 - 3/4*q**3.
-3*(q + 2)*(q + 5)*(q + 6)/4
Let w = 1055/4268 - -3/1067. Let m(a) be the second derivative of 0 + 0*a**2 - 7*a - 5/4*a**4 + 5/3*a**3 + w*a**5. Solve m(j) = 0.
0, 1, 2
Let x(l) = -15*l**3 - 520*l**2 - 336*l + 18. Let p(v) = -4*v**3 - 130*v**2 - 84*v + 4. Let o(c) = 9*p(c) - 2*x(c). Solve o(m) = 0.
-21, -2/3, 0
Suppose 2*d - t - 9 + 7 = 0, -t - 8 = -4*d. Factor 0 - 4/3*x + 1/3*x**d + x**2.
x*(x - 1)*(x + 4)/3
Suppose 3*z + 1394 = -3*p + 1421, -3*p + 33 = 4*z. Factor 80/3*g**2 - 64/3*g**p + 1/3 - 17/3*g.
-(g - 1)*(8*g - 1)**2/3
Suppose 10 = -i - 16*p + 11*p, -i + 4*p = -26. Let u be (-2)/(-4) - (i/(-6) - -2). Find f, given that -1/6*f**2 + u + 0*f = 0.
-1, 1
Let p be ((-3)/((-99)/(-7)))/(54/(-324)). Factor -4/11*b**2 - p*b - 6/11.
-2*(b + 3)*(2*b + 1)/11
Let t(b) = b**3 + 13*b**2 - 19*b - 66. Let h be t(-14). Suppose 3*y = 6*y - 18. Factor -8*s**4 + s**2 + 13*s**4 - y*s**h.
-s**2*(s - 1)*(s + 1)
Solve -5760/7*o - 1521/7*o**3 + 6513/7*o**2 - 2700/7 = 0 for o.
-1/3, 30/13
Let p = -2455 - -4193. Let d = -12140/7 + p. Factor 30/7*c**2 + d*c**3 + 2/7 + 2*c + 8/7*c**4.
2*(c + 1)**3*(4*c + 1)/7
Determine r, given that -4*r - 4*r**4 + 240*r**2 + 7*r**3 - r**4 + 33*r**3 + 4*r = 0.
-4, 0, 12
Suppose u - 61 = -2*b - 11, -4 = -u. Factor -16*x + 17 - b - 2*x**2 - 8.
-2*(x + 1)*(x + 7)
Let p(g) = -g**3 + 11*g**2 + 3*g + 11. Let c be p(11). Let h be 0*(-3)/(-9) - -2. Solve c*d + d**h - 44*d = 0 for d.
0
Factor 416/5*n**2 + 2/5*n**5 + 284/5*n**3 + 274/5*n + 76/5*n**4 + 68/5.
2*(n + 1)**4*(n + 34)/5
Let -6/7*p + 1/7*p**2 + 0 = 0. What is p?
0, 6
Let l(j) = 4*j - 672*j**3 + 18*j**2 + 39 + 72*j + 57*j + 11*j. Let c(f) = 192*f**3 - 5*f**2 - 41*f - 11. Let q(d) = -18*c(d) - 5*l(d). Factor q(h).
-3*(2*h - 1)*(4*h + 1)**2
Let q(b) be the third derivative of -6*b**2 + 0*b + 5/8*b**4 + 0*b**3 + 0 - 1/12*b**5. Factor q(y).
-5*y*(y - 3)
Suppose 3*k + 4*g = -g + 33, g - 33 = -5*k. Suppose 6*f = 4*f + 4. Find q, given that 4*q**f + 251*q - 4*q**4 - 6*q**5 + k*q**3 - 251*q = 0.
-1, -2/3, 0, 1
Let p(u) be the first derivative of 11*u**3/3 + 109*u**2 - 40*u + 45. Determine h so that p(h) = 0.
-20, 2/11
Let q(t) be the second derivative of t**4/12 + t**3/6 - t**2/2 + 2*t. Let d be q(-3). Let h**3 - 2*h**3 + 6*h - d*h = 0. Calculate h.
-1, 0, 1
Let y be 58/15 - (-2)/15. Find m, given that 81*m**2 - 108 - 116*m**2 - 162*m - 55*m**2 - 2*m**y - 22*m**3 = 0.
-3, -2
Let x(t) be the third derivative of -t**5/40 + t**4/16 + 3*t**3/2 + 161*t**2. Factor x(f).
-3*(f - 3)*(f + 2)/2
Let v = -254 + 258. Let q(p) be the third derivative of 4*p**2 - 2/15*p**3 + 4/75*p**5 + 0 + 1/60*p**6 + 1/60*p**v + 0*p. Find y such that q(y) = 0.
-1, 2/5
Let w be (-7 + 275/44)*40/(-6). Find c such that 0*c + 2/5*c**2 + 6/5*c**4 - 6/5*c**3 - 2/5*c**w + 0 = 0.
0, 1
Let t be ((5/10)/(-1))/(1/(-10)). Suppose 12*j**4 + 9*j - 12*j**2 + 112*j**5 - 6*j**3 - 57*j**5 - 58*j**t = 0. Calculate j.
-1, 0, 1, 3
Suppose -a = -2*q + 3, 47*q + a - 9 = 43*q. Determine j so that -2/5*j**q + 0 + 0*j = 0.
0
Determine h, given that -2/11*h**3 - 72/11 + 8/11*h**2 + 18/11*h = 0.
-3, 3, 4
Let x(w) = -4*w**5 - w**4 + 3*w**3 + w**2 + 4*w + 3. Let p(s) = s**5 + s**4 - s**3 - s**2 - s - 1. Let y = 23 + -28. Let k(n) = y*x(n) - 15*p(n). Factor k(j).
5*j*(j - 1)**3*(j + 1)
Let p be (6 + 2 - 9)/(10/(-28)). Factor 9/5*r + 1/5*r**2 + p.
(r + 2)*(r + 7)/5
Suppose -3*j = 4*u - 30, 2*j + 5*u = -3*j + 50. Suppose f**2 + j*f + 3 - 6*f + 0*f = 0. Calculate f.
-3, -1
Factor 811 + 2972 + 47*h - 741 - 203*h + 2*h**2.
2*(h - 39)**2
Let a(m) be the third derivative of -m**8/1008 - m**7/210 + 7*m**6/180 + m**5/15 - 5*m**4/9 - 20*m**2. Solve a(v) = 0 for v.
-5, -2, 0, 2
Let k(p) be the second derivative of -1/300*p**5 + 0 + 4*p**2 + 1/600*p**6 + 0*p**4 - 7*p + 0*p**3. Let f(g) be the first derivative of k(g). Factor f(n).
n**2*(n - 1)/5
Suppose 0 = s + 2, -3*z + 5*z + 4*s = -8. Suppose -20 + z = -4*h. Factor -8*v**2 + 2*v**3 - v**h - 7 - v + 4 + 4*v**4 + 7.
-(v - 4)*(v - 1)**2*(v + 1)**2
Let i(u) be the first derivative of 1/54*u**6 - 24 + 1/18*u**4 + 0*u + 1/15*u**5 + 0*u**2 + 0*u**3. Factor i(v).
v**3*(v + 1)*(v + 2)/9
Let f(o) be the second derivative of -o**10/25200 - o**9/25200 + o**8/11200 - 7*o**4/4 + 21*o. Let c(x) be the third derivative of f(x). Factor c(k).
-3*k**3*(k + 1)*(2*k - 1)/5
Let y(c) be the second derivative of -c**7/154 + 2*c**6/165 + 3*c**5/220 - c**4/33 - 85*c. Let y(w) = 0. What is w?
-1, 0, 1, 4/3
Let w(r) = -2*r + 3. Let o be w(-1). Suppose -y + 25 = 4*y + o*x, 2*y + x = 9. Suppose 8/11*t**y + 0*t**2 + 0*t + 0 + 8/11*t**3 + 2/11*t**5 = 0. What is t?
-2, 0
Let r(j) be the first derivative of -16 + 0*j**2 + 0*j + 2/45*j**3. Factor r(p).
2*p**2/15
Let a(v) be the second derivative of v**4/42 + 4*v**3/21 + 3*v**2/7 + 6*v + 2. Solve a(k) = 0 for k.
-3, -1
Factor -4/7*z**3 + 2*z**2 + 0 + 8/7*z.
-2*z*(z - 4)*(2*z + 1)/7
Let t be (-10)/(-180)*1/(15/6). Let d(h) be the second derivative of -7*h + 5/9*h**3 + 0 - 1/30*h**5 - 2/3*h**2 - 1/6*h**4 + t*h**6. Factor d(g).
2*(g - 1)**3*(g + 2)/3
Factor 10*g - 7 + 2*g**2 - 4*g - 1.
2*(g - 1)*(g + 4)
Let a be (-3 + 1)/(2/(-21)). Let 3 - a - 25*v - 2 - v**2 - 4*v**2 = 0. Calculate v.
-4, -1
Factor -2/7*u**2 - 20/7*u + 0.
-2*u*(u + 10)/7
Let y(f) be the first derivative of f**8/504 + 2*f**7/315 - f**5/45 - f**4/36 - 9*f**2 - 3. Let p(l) be the second derivative of y(l). Factor p(o).
2*o*(o - 1)*(o + 1)**3/3
Let 18*c**2 + 20/3*c + 0 + 10/3*c**3 = 0. What is c?
-5, -2/5, 0
Let q(x) be the second derivative of x**5/50 + 2*x**4/5 + 7*x**3/3 + 24*x**2/5 - 3*x + 70. Solve q(a) = 0.
-8, -3, -1
Let k(b) be the first derivative of -32*b**3/5 - 94*b**2/5 + 8*b/5 - 292. Factor k(p).
-4*(p + 2)*(24*p - 1)/5
Let c(n) be the second derivative of -n**6/15 + 7*n**5/8 - 23*n**4/24 - 2*n**3/3 + 545*n. Factor c(r).
-r*(r - 8)*(r - 1)*(4*r + 1)/2
Let k(b) be the third derivative of 2*b**7/105 - 17*b**6/60 - 29*b**5/30 - 5*b**4/6 + 139*b**2. Factor k(i).
2*i*(i - 10)*(i + 1)*(2*i + 1)
What is v in -32/5*v + 256/5 + 1/5*v**2 = 0?
16
Let k be ((-14)/(-12))/(16 - (-1083)/(-76)). Let q be 2/6 - -1 - 0. Factor -2/3*w - q + k*w**2.
2*(w - 2)*(w + 1)/3
Find g, given that -g**2 + 0 - 8/3*g + 1/6*g**3 = 0.
-2, 0, 8
Let r(d) be the second derivative of d**7/56 + d**6/2 + 6*d**5 + 40*d**4 + 160*d**3 + 384*d**2 + 104*d. Factor r(u).
3*(u + 4)**5/4
Suppose -2*y = -5*y - 6. Let v be ((-6)/(-12))/(1/(y/(-2))). Factor v + 0*p + 0*p**3 + 1/2*p**4 - p**2.
(p - 1)**2*(p + 1)**2/2
Let q(i) be the second derivative of 0*i**4 - 1/2*i**5 + 0*i**6 + 0 + 0*i**2 + 39*i + 5/6*i**3 + 5/42*i**7. Factor q(k).
5*k*(k - 1)**2*(k + 1)**2
Find r such that 102/5*r - 396/5 - 6/5*r**2 = 0.
6, 11
Determine m, given that -4*m**2 - 2*m + 14*m**4 - 10*m**4 + 4*m**3 - 14*m**2 + 14*m - 2*m**2 = 0.
-3, 0, 1
Let w = -1043 + 1052. Let r(f) be the second derivative of 0*f**3 + 0*f**4 + 0 - 1/165*f**6 + 0*f**5 - w*f + 0*f**2. Determine z, given that r(z) = 0.
0
Suppose 1029*d**3 - 14513*d**2 + 1283*d**2 - 7490*d + 14630*d - 53891 - 27109 + 49560*d = 0. Calculate d.
30/7
Let l be (-11)/((-198)/144) + (-11)/2. Factor -125/2 + 25*x - l*x**2.
-5*(x - 5)**2/2
Let v be (1/(-3))/(1/(3 - 21)). Let z be ((-12)/162)/((-2)/v). Find t such that z*t**4 - 2/9*t**2 - 2/9*t + 0 + 2/9*t**3 = 0.
-1, 0, 1
Let x be (846/(-12))/(-3) - 6/(-4). Suppose x*c = 11*c + 70. What is h in 40*h**4 - 16*h - 112/3*h**2 + 4/3*h**3 + 12*h**c + 0 = 0?
-3, -2/3, 0, 1
Suppose 0*r - 7*r = -7. Let t(s) = -s**4 - 2*s**3 + 6*s**2 - 3*s + 5. Let