f(o).
-2*o**3*(o + 2)*(5*o + 2)/9
Factor -3*a**3 - a**3 + 105*a**2 - 137*a**2.
-4*a**2*(a + 8)
Let m(h) = -14*h**2 - 46*h - 10. Let x(n) = 28*n**2 + 92*n + 19. Let j(w) = -5*m(w) - 2*x(w). Let j(z) = 0. What is z?
-3, -2/7
Let c(a) be the first derivative of a**6/2 + 9*a**5/5 - 3*a**4/2 - 12*a**3 - 12*a**2 + 7. Factor c(b).
3*b*(b - 2)*(b + 1)*(b + 2)**2
Let h(b) be the first derivative of b**7/105 - b**6/15 + b**5/6 - b**4/6 - 29*b**2/2 + 33. Let g(l) be the second derivative of h(l). Factor g(f).
2*f*(f - 2)*(f - 1)**2
Let z(r) be the second derivative of -r**7/1680 + r**5/80 - r**4/24 + 3*r**3 - 5*r. Let t(d) be the second derivative of z(d). Factor t(j).
-(j - 1)**2*(j + 2)/2
Let v(x) be the first derivative of -2/27*x**3 - 25 - 10/9*x + 2/3*x**2. Let v(k) = 0. Calculate k.
1, 5
Let w be 79/(-5) - (-1)/(-5). Let a be ((-10)/4)/(20/w). Determine x so that 3*x**3 + 5*x**2 - a*x**3 - 6*x**2 = 0.
0, 1
Let h(u) be the first derivative of u**6/24 - 31*u**5/20 + 283*u**4/16 - 673*u**3/12 + 77*u**2 - 49*u - 234. Solve h(f) = 0.
1, 14
Let c = -695/48 - -29/2. Let s = 571/240 + c. Let 0 - s*f - 3/5*f**3 + 12/5*f**2 = 0. Calculate f.
0, 2
Let g = -6581/12 - -2195/4. Let f be 1/6*2*2. Factor -1/3*t**5 + t**4 - 2/3*t**2 - g + t - f*t**3.
-(t - 1)**4*(t + 1)/3
Let q be 2/7 + 2/(-7). Suppose -5*x + l - 1 = 0, -5*l + 18 - 13 = 0. Suppose -2/11*g**2 + x + q*g = 0. Calculate g.
0
Let i(l) be the second derivative of -l**4/28 + 3*l**3/7 + 24*l**2/7 + 407*l. Find t such that i(t) = 0.
-2, 8
Let r(v) be the third derivative of 0 + 0*v - 30*v**2 + 1/3*v**4 - 2/3*v**3 - 1/15*v**5. What is n in r(n) = 0?
1
Let o be (-5)/4 + 105/70. Let c(x) = -x**2 - 5*x + 6. Let r be c(-6). Find n such that r*n + o*n**3 - 1/4*n**2 + 0 = 0.
0, 1
Let z be 9*(-1 - (-12)/9). Factor 1 + 16*a + 28*a**2 + 44*a + 22 + 4*a**z + 13.
4*(a + 1)*(a + 3)**2
Let f = -48 - -52. Let 12*c**f + 17*c - 6*c + 44*c**2 + 11*c + 4 + 38*c**3 = 0. What is c?
-1, -2/3, -1/2
Let o be (-138)/139 + 4/((-16)/(-4)). Let h = 697/278 - o. Suppose -1 + 3*k**3 - 3/2*k + h*k**2 = 0. What is k?
-1, -1/2, 2/3
Let k(q) be the second derivative of -4/3*q**3 + 3/20*q**5 + 6*q**2 + 0 - 27*q - 17/12*q**4. Find w such that k(w) = 0.
-1, 2/3, 6
Suppose 3*j - 7*j = -64. Factor -32*s + 7*s**3 + 9*s**3 - j*s**4 - 2*s**5 + 16*s**4.
-2*s*(s - 2)**2*(s + 2)**2
Let h be (-1 - 0) + (-21388)/(-220) + -3. Let m = 477/5 - h. Solve -10/11*l + 4/11 - m*l**2 = 0 for l.
-2/3, 1/4
Let m(k) be the first derivative of -3/5*k**5 - 3/4*k**4 + k**3 + 6 + 0*k**2 + 0*k + 1/2*k**6. Solve m(g) = 0 for g.
-1, 0, 1
Let d(u) = -u**3 - 11*u**2 + 195. Let n be d(-8). Suppose -1/2*l**2 + 0 + 0*l - 1/2*l**n = 0. Calculate l.
-1, 0
Let m(o) be the second derivative of -3*o**5/100 + 33*o**4/20 - 144*o**3/5 + 384*o**2/5 + 4*o - 9. Factor m(s).
-3*(s - 16)**2*(s - 1)/5
Let m be 2/((-2)/3*(-24)/16). Factor -24*o**m + 48 - 8*o**4 - 2*o**4 - 6*o**4 + 19*o**4.
3*(o - 2)**2*(o + 2)**2
Let m(h) = -65*h**2 - 9710*h - 365665. Let k(a) = -5*a**2 - 747*a - 28128. Let u(b) = 40*k(b) - 3*m(b). Factor u(r).
-5*(r + 75)**2
Let j(p) be the second derivative of p**5/60 + 2*p**4/9 - 31*p**3/18 + 11*p**2/3 + 217*p + 1. Factor j(b).
(b - 2)*(b - 1)*(b + 11)/3
Let l be (-1)/5 - (23 - (-1059)/(-45)). Find i such that 1/9*i**3 + 1/3*i + l*i**2 + 1/9 = 0.
-1
Find f, given that -3/7*f + 1/7*f**2 - 18/7 = 0.
-3, 6
Let w(i) be the first derivative of i**5/35 - i**4/28 - 4*i**3/21 + 2*i**2/7 - 351. Factor w(m).
m*(m - 2)*(m - 1)*(m + 2)/7
Let g(a) = a + 5. Let c be g(4). Suppose 3*d = -c + 30. Suppose -i - 5*i**3 + d*i**3 - i = 0. What is i?
-1, 0, 1
Suppose 15*y - 5*y - 160 = 0. Let l be y + -11 - (-19)/(-4). Solve 0*r + 3/2*r**3 - 7/4*r**2 + l = 0.
-1/3, 1/2, 1
Let i be (8 + (-170)/20)*(-11 + 1). Let o(k) be the third derivative of -5*k**2 + 0*k**4 + 0 + 1/20*k**i + 0*k + 0*k**3. Determine a so that o(a) = 0.
0
Determine a so that 0*a + 1/6*a**5 + 0*a**3 + 0 + 1/2*a**4 + 0*a**2 = 0.
-3, 0
Let y(n) be the second derivative of n**4/32 + 33*n**3/16 - 105*n**2/8 - 10*n + 14. Factor y(t).
3*(t - 2)*(t + 35)/8
Let q = -2/409 + 24143/2454. Let c = 21/2 - q. Find a such that 8/3*a**3 + c + 4/3*a - 14/3*a**2 = 0.
-1/4, 1
Let u(r) = 2*r**3 - 2*r**2 - 3*r + 6. Let q be u(2). Let s = q - 5. Factor 54/7 + 18/7*p**2 - 2/7*p**s - 54/7*p.
-2*(p - 3)**3/7
Let u be (-364)/(-1911)*(-6)/4*-2. Factor -u + 2/7*h**3 + 4/7*h**2 - 2/7*h.
2*(h - 1)*(h + 1)*(h + 2)/7
Let l(c) be the third derivative of -c**5/210 - 2*c**4/21 - 16*c**3/21 - 82*c**2. Determine b so that l(b) = 0.
-4
Suppose -66*v + 204 = -15*v. Let i(o) be the second derivative of 0*o**2 - 1/90*o**6 - 1/60*o**5 - 9*o + 1/18*o**3 + 1/36*o**v + 0. Factor i(y).
-y*(y - 1)*(y + 1)**2/3
Let b(p) be the first derivative of -p**4/7 - 8*p**3/21 + 32*p**2/7 + 128*p/7 - 124. Factor b(v).
-4*(v - 4)*(v + 2)*(v + 4)/7
Factor 1/3*n**2 - 22 - 31/3*n.
(n - 33)*(n + 2)/3
Let c = 8873 + -8871. Suppose -i - 2 + 1/4*i**3 + 1/2*i**c = 0. What is i?
-2, 2
Let d be ((-40)/(-6))/1 + (-16)/(-48). Suppose d*r = r + 12. Factor -8/9*s**2 - r - 8/3*s.
-2*(2*s + 3)**2/9
Let b(d) be the first derivative of -d**4 + 36*d + 5 - 20/3*d**3 - 6*d**2. Factor b(c).
-4*(c - 1)*(c + 3)**2
Let h(t) = t**3 + 4*t**2 + t + 8. Let a be h(-4). Let 4*q**4 + 17*q**2 + 3*q**2 - 16*q**3 + a*q - 12*q = 0. What is q?
0, 1, 2
Let b = 2 + 1. Suppose -368 = -5*v - b*h + 259, -2*h - 506 = -4*v. Factor -600*p**2 - 23 - 34*p + 7 - 625*p**4 - 1000*p**3 - v*p.
-(5*p + 2)**4
Let a(x) = -x**3 + x - 1. Let z(v) = 3*v**3 - v**3 - 1 - 6 - 2*v + 6*v**2. Let u = 33 + -34. Let w(g) = u*z(g) + a(g). Factor w(j).
-3*(j - 1)*(j + 1)*(j + 2)
Let n = 16761 - 16761. Find d, given that 2/9*d**4 - 10/9*d**2 + n - 2/9*d**3 - 2/3*d = 0.
-1, 0, 3
Let i be (-60 - -12)/(-6) - (-162)/(-21). Factor -i*g**3 + 12/7*g - 10/7*g**2 + 0.
-2*g*(g - 1)*(g + 6)/7
Suppose 0 = -2*t + n, t - 3*n = -10 - 0. Determine x so that x**3 - 7*x**2 + 10*x**t + 2*x**3 = 0.
-1, 0
Let i be (6 - (-255)/(-45))*(2 + 13/1). Suppose 19/3*m**3 - m + 5/3*m**4 + 0 + 7/3*m**2 - 4/3*m**i = 0. What is m?
-1, 0, 1/4, 3
Let u(s) = 22 + 2*s - 2 - 7. Let p be u(-5). Find g such that 2/7*g**2 - 2/7*g**p + 0*g + 0 + 2/7*g**5 - 2/7*g**4 = 0.
-1, 0, 1
Let x(g) = g - 8 + 0*g + 1. Let k be x(10). Factor 4*z**4 + 5*z - 8*z**k - 4 + 7*z**2 + 3*z - 7*z**2.
4*(z - 1)**3*(z + 1)
Factor 0 - 39/5*a**3 - 7/5*a**5 - 6/5*a + 27/5*a**4 + 5*a**2.
-a*(a - 1)**3*(7*a - 6)/5
Suppose 0 = u - 2*t + 1 + 1, -5*u = -3*t + 3. Let a be 17*(-3)/18 + 3 + u. Suppose 0*g - 1/6*g**4 - a*g**2 - 1/3*g**3 + 0 = 0. What is g?
-1, 0
Factor 34*v**4 - 61*v**4 + 0*v**5 + 35*v**4 - 6*v**5 + 2*v**3 - 4*v**2.
-2*v**2*(v - 1)**2*(3*v + 2)
Let i(x) = -2*x**2 + 82*x + 177. Let w be i(43). Let a(c) be the first derivative of -2/3*c**6 - 3*c**4 + 0*c**2 + 4/3*c**3 + 12/5*c**w + 0*c + 9. Factor a(b).
-4*b**2*(b - 1)**3
Let u(x) be the first derivative of -2*x**5/15 - x**4/6 + 2*x**3/3 + x**2/3 - 4*x/3 - 164. Solve u(h) = 0 for h.
-2, -1, 1
Let m be (6/140)/((-150)/(-175)). Let n(d) be the second derivative of 0*d**3 + 0 + m*d**4 + 0*d**2 - 7*d. Solve n(o) = 0.
0
Let c(m) = -2*m - 10. Let v be c(-6). Suppose v*u = -u + 12. Let -2*p**u + 4*p**2 + 2*p**3 - 2*p**5 + 5*p**4 - 7*p**4 = 0. What is p?
-2, -1, 0, 1
Let g(o) be the first derivative of -1/11*o**2 + 4/11*o + 1/22*o**4 - 4/33*o**3 - 15. Find f such that g(f) = 0.
-1, 1, 2
Solve 13*r + 8 + 4*r**3 + 16*r - 58*r + 17*r = 0.
-2, 1
Let j(d) = -d + 170. Let v be j(0). Suppose 125 - 64*f**2 + v*f**3 - 6*f**2 - 175*f - 5*f**5 + 10*f**5 - 55*f**4 = 0. Calculate f.
-1, 1, 5
Let v(i) = -4*i - 14. Let u be v(-10). Let o = 28 - u. Factor 0*r + 0*r**o + 0 + 1/4*r**3.
r**3/4
Let m(i) = -i**2 + 11*i + 16. Let p be m(12). Solve 48*g**p + 44*g - 53*g**2 + 9*g**2 - 44*g**3 + 4*g**2 - 8 = 0.
-1, 1/4, 2/3, 1
Let h(v) be the first derivative of -12 + 5/3*v**3 - 5*v + 15/4*v**2 + 0*v**5 + 5/12*v**6 - 5/2*v**4. Factor h(f).
5*(f - 1)**3*(f + 1)*(f + 2)/2
Let -2*d + 16 + 12*d + 14*d + 9*d**2 + d**3 = 0. What is d?
-4, -1
Let t(w) = w - 2. Let b be t(4). Let l be (10 - 1)*(b + -1). Let l*x**4 - 5*x**2 + 1 - 6*x**4 - x**2 + 2 = 0. Calculate x.
-1, 1
Let y(o) be the first derivative of 6 + 1/3*o**5 + 2/3*o**4 + 4/9*o**3 + 1/18*o**6 + 0*o + 0*o**2. Suppose y(x) = 0. Calculate x.
-2, -