Factor z(m).
2*m*(m - 5)**2*(3*m + 1)
Determine a, given that -116*a + 184*a**2 - 4*a**5 + 68 - 136*a**3 + 184*a**4 - 140*a**4 - 40 = 0.
1, 7
Suppose -2082*o = 2073*o - 6257*o + 2069*o. Suppose -3/7*x**2 + 9/7*x + o = 0. What is x?
0, 3
Let n = 3757/2 - 1877. Let k(a) be the second derivative of 1/12*a**4 + 0 - 1/3*a**3 - n*a**2 - 18*a. Factor k(y).
(y - 3)*(y + 1)
Let d(n) be the first derivative of 2*n**6/3 - 56*n**5/5 - 48*n**4 - 200*n**3/3 - 34*n**2 - 2734. Factor d(f).
4*f*(f - 17)*(f + 1)**3
Let m = -450 + 996. Determine s so that -680*s**3 - 72*s + 688*s**5 - m*s**3 - 552*s**2 - 786*s**5 - 644*s**4 = 0.
-3, -2/7, 0
Let n(x) be the first derivative of 7/60*x**5 + 1/6*x**4 + 25 - 4*x - 1/18*x**3 + 1/45*x**6 - 1/3*x**2. Let u(y) be the first derivative of n(y). Factor u(r).
(r + 1)**2*(r + 2)*(2*r - 1)/3
Let v(d) be the second derivative of 64*d**5/25 + 3568*d**4/15 - 358*d**3/3 + 112*d**2/5 + 2156*d. What is l in v(l) = 0?
-56, 1/8
Let r(a) = -32*a + 218. Let v be r(6). Let l be (v/(-20))/1 - (-21)/14. Factor 0 + 0*g + 1/5*g**3 - l*g**2.
g**2*(g - 1)/5
Suppose 10*v + 0 - 40 = 0. Factor 5*u**2 - 2*u**2 - 20*u - v*u**2 + 17*u.
-u*(u + 3)
Suppose 226*d - 123 = 273 + 282. Factor -4/5*z**4 + 0 + 4*z**d + 52/5*z**2 + 28/5*z.
-4*z*(z - 7)*(z + 1)**2/5
Find c such that 168/5*c**2 + 1/5*c**4 + 0*c + 0 + 29/5*c**3 = 0.
-21, -8, 0
Let b(f) = -f**3 + 5*f**2 + 3*f - 24. Suppose 65*z - 4 = -5*x + 61*z, -5*x - 2*z + 12 = 0. Let h be b(x). Factor 8/3*g + h - 1/3*g**3 - 1/3*g**2.
-(g - 3)*(g + 2)**2/3
Let t(d) be the first derivative of d**3 - 57*d**2/2 - 60*d - 2331. Suppose t(s) = 0. What is s?
-1, 20
Factor -17*f**2 - f**2 - 11*f**2 - 5*f**2 + 5848 + 38*f**2 + 2932*f.
4*(f + 2)*(f + 731)
Determine a so that -25688*a**3 + 1643*a**2 + 25489*a**3 + 1039 - 79 - 2117*a + a**4 - 288*a**2 = 0.
1, 5, 192
Let t(z) be the second derivative of -16/27*z**3 + 10*z + 0*z**2 + 7/90*z**5 + 1 - 4/27*z**4 - 1/135*z**6. Factor t(n).
-2*n*(n - 4)**2*(n + 1)/9
Determine v, given that 560*v + 136*v**3 + 290*v**2 - 39*v**3 - 92*v**3 = 0.
-56, -2, 0
Let z(k) = 70*k - 13*k**2 - 122 - 5*k**2 + 18*k + 92. Let i(w) = 6*w**2 - 29*w + 10. Let s(v) = -8*i(v) - 3*z(v). Determine h so that s(h) = 0.
1/3, 5
Let q(x) be the first derivative of 4*x**3 + 1574*x**2 + 1048*x - 2669. Factor q(c).
4*(c + 262)*(3*c + 1)
Factor -48/17*f**2 + 42/17*f + 2/17*f**3 + 92/17.
2*(f - 23)*(f - 2)*(f + 1)/17
Suppose -24*r - 64 = -16*r. Let f be (-44)/r + -18 + 14. Find k such that -9/4*k**3 - 3/2*k**2 + 21/4*k - f = 0.
-2, 1/3, 1
Let w(l) be the second derivative of -l**7/14 - l**6/2 + 63*l**5/20 + 113*l**4/4 + 74*l**3 + 90*l**2 + 52*l. Find t such that w(t) = 0.
-6, -2, -1, 5
Suppose 0 = 5*i + 5*d - 60, 0*i - 4 = -i + d. Suppose 19 = i*c - 13. Let -8*w**3 + 10*w**2 + 9*w + 7*w - 31*w + 2*w**c + 11*w = 0. What is w?
0, 1, 2
Let i(t) = -48*t + 86. Let j be i(12). Let a = -490 - j. Let a*n - 2/5*n**2 + 2/5*n**3 + 0 = 0. Calculate n.
0, 1
Factor -8*i + 120/13 - 2/13*i**3 + 2*i**2.
-2*(i - 6)*(i - 5)*(i - 2)/13
Suppose -41*v + 22*v + 57 = 0. What is s in -400*s**4 + 18*s**2 - v*s**5 + 2*s**3 + 391*s**4 - 9 - 3*s + 4*s**3 = 0?
-3, -1, 1
Suppose 3*a = -s, -2*s - s + 4*a = 0. Suppose -4*g + 4*u - 4 = s, -5*u = -u - 12. What is h in 21 - 6*h**3 + 20*h**g + 2*h**3 + 7 + 52*h = 0?
-1, 7
Let v(t) = 12*t**2 - 17*t - 5. Let u(r) = 38*r**2 - 52*r - 16. Let x = 126 + -142. Let f(o) = x*v(o) + 5*u(o). Factor f(p).
-2*p*(p - 6)
Let g = 14292 + -42875/3. Suppose -g*x**2 - 8/3 - 3*x = 0. What is x?
-8, -1
Let q(j) be the second derivative of j**7/1400 + j**6/50 - 68*j**3/3 + 121*j. Let n(k) be the second derivative of q(k). Determine h so that n(h) = 0.
-12, 0
Let a(c) be the second derivative of c**4/48 - 5*c**3/24 - 33*c**2/4 - 12705*c. Solve a(v) = 0.
-6, 11
Let u(s) be the first derivative of -4*s - 5/2*s**4 - 158 - 2/5*s**5 - 7*s**2 - 6*s**3. Factor u(f).
-2*(f + 1)**3*(f + 2)
Let o(v) be the first derivative of -4*v**6/15 + 38*v**5/5 - 318*v**4/5 + 1606*v**3/15 + 242*v**2/5 - 729. Solve o(n) = 0 for n.
-1/4, 0, 2, 11
Suppose 25350*p - 1098500 - 195*p**2 + 1/2*p**3 = 0. What is p?
130
Factor -4516 - 22*f**3 + 91*f**3 + 435*f + 3*f**4 - 507*f**2 + 4516.
3*f*(f - 5)*(f - 1)*(f + 29)
Find v such that 12/13*v**2 + 2/13*v**3 - 14/13*v + 0 = 0.
-7, 0, 1
What is f in -462/23*f**3 + 0 - 2/23*f**5 + 0*f - 1210/23*f**2 - 54/23*f**4 = 0?
-11, -5, 0
Suppose 11*o = 8*o. Suppose o = q - 5. Factor 5*n**3 - 13*n - q*n**5 + n + 10*n**5 + 2*n - 15*n**4 + 15*n**2.
5*n*(n - 2)*(n - 1)**2*(n + 1)
Find o such that -124*o - 4/3*o**3 + 184/3 + 64*o**2 = 0.
1, 46
Determine m, given that 1/3*m + 20/3 - 1/3*m**2 = 0.
-4, 5
Let q(f) be the first derivative of 7*f**6/30 - 3*f**5/5 - 15*f**4/4 + 19*f**3/3 - 6*f**2/5 - 53. Let q(d) = 0. Calculate d.
-3, 0, 1/7, 1, 4
Let d be 3 + 9/(-18)*4/(-1). Let k be (6 - 0) + (-3 + 6 - d). Factor k*s**5 + s**2 - 8 - 2*s**5 + 2*s**5 - 16*s**3 + 12*s + 7*s**2.
4*(s - 1)**3*(s + 1)*(s + 2)
Let q = 1049 + 172. Factor 23*a**3 - 6*a**3 - 8*a**3 + 204*a**2 + 726 + q*a.
3*(a + 11)**2*(3*a + 2)
Suppose 2*z - 7 = -y - 22, -5*z - 55 = 5*y. Let g(x) = x**3 + 8*x**2 + 9*x + 16. Let v be g(y). What is r in 6/5 - 8/5*r + 2/5*r**v = 0?
1, 3
Let x(v) be the first derivative of 0*v**5 + 5/72*v**4 + 0*v - 1/72*v**6 - 15/2*v**2 + 2 + 0*v**3. Let t(o) be the second derivative of x(o). Factor t(u).
-5*u*(u - 1)*(u + 1)/3
Let h(p) be the third derivative of -p**8/840 + p**7/210 + p**6/180 - p**5/30 + 25*p**3/2 - 59*p**2. Let n(g) be the first derivative of h(g). Factor n(s).
-2*s*(s - 2)*(s - 1)*(s + 1)
Let m(y) be the third derivative of y**6/360 - 25*y**4/24 - 22*y**3/3 - 63*y**2. Let q(w) be the first derivative of m(w). Factor q(l).
(l - 5)*(l + 5)
Let s(c) be the third derivative of 1/70*c**7 + 0*c**4 + 1/20*c**6 + 2 + 1/15*c**5 + 21*c**2 + 0*c**3 + 1/672*c**8 + 0*c. Factor s(l).
l**2*(l + 2)**3/2
Suppose -369*g = -370*g + 125. Factor -64*r - g + 73*r - 5*r**2 - 139*r.
-5*(r + 1)*(r + 25)
Let h(r) be the third derivative of 5*r**2 + 1/1050*r**7 + 0*r**3 + 0*r + 1/15*r**4 + 12 + 7/600*r**6 + 7/150*r**5. Solve h(l) = 0.
-4, -2, -1, 0
Let u(z) be the first derivative of 1/24*z**6 + 1/3*z**3 + 1/8*z**2 + 3/8*z**4 + 1/5*z**5 + 0*z - 76. Factor u(l).
l*(l + 1)**4/4
Suppose -2*u = 2*n + 32, 3*n - 19914*u = -19909*u + 96. Determine a so that 0 - 12*a - 2/3*a**n = 0.
-18, 0
Let g be 1*((-12)/(-10) - 1). Let m(q) = 4*q**2 + 37*q + 11. Let j be m(-9). Solve 0 + 4/5*d**j - g*d**3 - 4/5*d = 0.
0, 2
Let k be 13/3 - (-200 - -203). Let b = 31/12 + -9/4. Factor k + b*j**2 - 4/3*j.
(j - 2)**2/3
Let a be (9100/(-39))/28 - -10. Let b(i) be the first derivative of a*i**3 + 80*i + 20*i**2 + 24. Factor b(q).
5*(q + 4)**2
Let i = 6508 + -39047/6. Factor -2/3*j + i*j**3 - 4 + 5/3*j**2 - 1/6*j**4.
-(j - 3)*(j - 2)*(j + 2)**2/6
Let w(x) be the third derivative of -x**7/105 - 187*x**6/600 - 41*x**5/100 + 9*x**4/20 - 6*x**2 + 3*x + 54. Solve w(t) = 0 for t.
-18, -1, 0, 3/10
Let x(m) be the third derivative of -m**7/350 - 137*m**6/600 + 2419*m**5/300 - 9611*m**4/120 + 98*m**3 + 4725*m**2. Find w, given that x(w) = 0.
-60, 1/3, 7
Let y(n) be the first derivative of -40 - 1/27*n**3 - 8/3*n + 11/18*n**2. Suppose y(d) = 0. Calculate d.
3, 8
Suppose -949 + 7600 = 2217*z. Factor 0*t**2 + 12/7*t**z + 2/7*t**4 + 0 + 0*t.
2*t**3*(t + 6)/7
Let j(l) = -7*l**3 - 8*l - 8. Let b(k) = -k**3 - 1. Let x(g) = 11*g**3 + g**2 + 7*g + 12. Let f(w) = 2*b(w) + x(w). Let s(o) = -4*f(o) - 5*j(o). Factor s(r).
-r*(r - 2)*(r + 6)
Let q be (-4)/18 - 77/198*2. Let p be (-2 + q + -3)/(-1 - 3). Solve 0 + p*j**2 + 15/2*j = 0 for j.
-5, 0
Let j(s) = -8*s**4 - 142*s**3 + 127*s**2 + 7*s + 14. Let i(t) = 4*t**4 + 62*t**3 - 63*t**2 - 3*t - 6. Let g(y) = 7*i(y) + 3*j(y). Factor g(n).
4*n**2*(n - 3)*(n + 5)
Let d(n) be the first derivative of -1/3*n**5 + 1/18*n**6 + 0*n - 141 + 8/9*n**3 + 0*n**2 + 1/6*n**4. Factor d(m).
m**2*(m - 4)*(m - 2)*(m + 1)/3
Let m(o) be the first derivative of -6*o**2 + 3/2*o**3 - 4 + 1/4*o**4 - 38*o. Let z(u) be the first derivative of m(u). Factor z(l).
3*(l - 1)*(l + 4)
What is a in 392/9 + 112/9*a + 2/9*a**3 - 38/9*a**2 = 0?
-2, 7, 14
Let -37*b**2 + 72282*b**3 - 72504*b**3 - 81*b**4 - 107*b**2 - 3*b**5 = 0. Calculate b.
-24, -2, -1, 0
Let o(h) be the second der