 - 1/12*t**4 + 0*t**2 + 0*t. Factor g(r).
r**2*(r - 2)*(r + 1)/3
Let x be 1 + 36/120*-2. Factor x*g + 4/5 - 2/5*g**3 - 4/5*g**2.
-2*(g - 1)*(g + 1)*(g + 2)/5
Suppose -688*f = -692*f + 8. Factor 0 - 1/5*n**3 + 1/5*n + 0*n**f.
-n*(n - 1)*(n + 1)/5
Suppose -4*l = 4*f - 8*l - 24, 2*l - 12 = -2*f. Suppose -f*q**3 + 14/3*q**4 - 4/3 - 10/3*q**2 + 6*q = 0. What is q?
-1, 2/7, 1
Let c(s) = s**3 + s**2 + s + 24. Let a be c(0). Suppose 0 = a*w - 20*w - 16. What is j in 72/7*j**w + 0 + 22*j**3 + 8/7*j - 72/7*j**2 - 162/7*j**5 = 0?
-1, 0, 2/9, 1
Suppose 10*u + 88 = 408. Determine f so that 28*f - 140*f + u*f**4 + 152*f**2 - 171*f**3 + 32 + 71*f**3 - 4*f**5 = 0.
1, 2
Suppose 1467*m - 1465*m + 14 = 4*o, -3*o - 5*m - 9 = 0. Solve 2/11*f**4 - 10/11*f**o - 2/11*f**3 - 6/11*f + 0 = 0 for f.
-1, 0, 3
Let t(i) be the first derivative of i**3 + 9*i**2 - 21*i - 108. Factor t(p).
3*(p - 1)*(p + 7)
Let t = 2494/3 - 745. Let n = t + -86. Suppose 1 + 1/3*i**3 - i**2 - n*i = 0. What is i?
-1, 1, 3
Factor -76*w - 2*w**2 - 72 + 12*w**2 - 14*w**2.
-4*(w + 1)*(w + 18)
Let u(l) be the first derivative of -l**4 - 4*l**3/3 + 10*l**2 - 12*l - 18. Factor u(g).
-4*(g - 1)**2*(g + 3)
Factor -49*q**4 - 49*q**4 + q**3 + q**5 + 96*q**4.
q**3*(q - 1)**2
Let a(o) be the first derivative of -o**4/8 + o**3 - 3*o**2 + 4*o + 18. Factor a(f).
-(f - 2)**3/2
Let g be (-420)/(-28) - 0/(-2). Factor 522 - 20*n - 522 + 5*n**3 - g*n**2.
5*n*(n - 4)*(n + 1)
Let h be (1 - 2/2) + 3. Suppose 299*z = -2*w + 302*z - 2, 2*z - 18 = -7*w. Factor 2*s + 4/3*s**2 - w*s**4 + 2/3 - 4/3*s**h - 2/3*s**5.
-2*(s - 1)*(s + 1)**4/3
Let q be (7 - 16) + (-1337)/(-147). Let f(u) be the second derivative of -q*u**3 - 1/35*u**5 + 1/210*u**6 - 12*u + 1/14*u**4 + 1/14*u**2 + 0. Factor f(c).
(c - 1)**4/7
Factor 3/4*p**2 + 3*p - 15/4.
3*(p - 1)*(p + 5)/4
Let s = 1/166 - -81/332. Let z be (2/(-8))/(2 + -3). Suppose -3/4*p**2 + s*p + 1/2 - 1/4*p**3 + z*p**4 = 0. Calculate p.
-1, 1, 2
Let d(w) be the third derivative of -w**5/540 - w**4/18 + 13*w**3/54 - 2*w**2 - 178. Factor d(f).
-(f - 1)*(f + 13)/9
Let d(g) be the second derivative of -g**6/15 - 3*g**5/5 - 11*g**4/6 - 2*g**3 - 30*g + 1. Find u, given that d(u) = 0.
-3, -2, -1, 0
Let a(h) be the first derivative of -2*h**3/15 + h**2/5 + 63. Find s such that a(s) = 0.
0, 1
Let x(r) be the third derivative of r**5/150 + 9*r**4/10 + 243*r**3/5 + 45*r**2. Factor x(u).
2*(u + 27)**2/5
Let r(b) be the second derivative of 0 + 0*b**2 - b**4 + 1/10*b**5 - 12*b + 3*b**3. Let r(p) = 0. What is p?
0, 3
Factor 107*b + 3*b**4 + 195*b**2 + 0*b**4 - 490*b**3 + 532*b**3 + 193*b.
3*b*(b + 4)*(b + 5)**2
Suppose 2*i = -12 + 14. Let a be 4/10 - (2/5 - i). Determine b, given that a - 5/2*b - 1/2*b**3 + 2*b**2 = 0.
1, 2
Let x(k) = 7*k**2 + 44*k + 192. Let o(m) = 48*m**2 + 309*m + 1344. Let j = -16 - 11. Let l(s) = j*x(s) + 4*o(s). Factor l(c).
3*(c + 8)**2
Let d be (8/6)/(4/6). Let u be ((-6)/(-8))/3 - 92/(-16). Suppose u*o**3 - 6*o**3 + d*o**2 + 4*o - 2*o**3 = 0. What is o?
-1, 0, 2
Let v = 67/53 + -363/371. Determine f so that -18/7 + 12/7*f - v*f**2 = 0.
3
Let h(x) = -5*x**2 + 6*x - 2. Let u(i) = -21*i**2 + 24*i - 9. Let t(l) = -9*h(l) + 2*u(l). Suppose t(j) = 0. Calculate j.
0, 2
Suppose 16*n - 133 = -117. Let m(f) = f + 1. Let l(g) be the third derivative of g**5/15 - g**4/12 - 11*g**3/3 - g**2. Let i(y) = n*l(y) - 2*m(y). Factor i(q).
4*(q - 3)*(q + 2)
Suppose 86/3*r + 131/3*r**2 + 0 + r**3 = 0. What is r?
-43, -2/3, 0
Suppose 2 = 438*w - 439*w, 0 = -g - 5*w - 10. Factor g - 3/2*k + 1/2*k**2.
k*(k - 3)/2
Let m = 9 - -5. Suppose 2*d = -x + 19 - 2, 0 = -4*d + 2*x + m. Factor 1 + 3*j**2 - 3 + 3*j - d*j - 4.
3*(j - 2)*(j + 1)
Let a(r) = 2*r**2 - 2*r + 2. Let s be a(1). Suppose 6 = 2*i - 0*v + s*v, 0 = 4*v - 4. Factor 24*z**2 + z**2 + 33*z**i - 14*z**2 + 36*z - 8.
4*(z + 1)*(11*z - 2)
Let c(q) = 15*q**4 - 225*q**3 + 605*q**2 - 575*q + 180. Let j(z) = z**5 - 16*z**4 + 222*z**3 - 604*z**2 + 577*z - 180. Let r(y) = -6*c(y) - 5*j(y). Factor r(v).
-5*(v - 4)*(v - 1)**3*(v + 9)
Let x(u) be the first derivative of -3*u**7/175 - 2*u**6/25 - 13*u**5/150 - u**4/30 + 6*u**2 + 18. Let t(a) be the second derivative of x(a). Factor t(o).
-2*o*(o + 2)*(3*o + 1)**2/5
Let i(x) be the second derivative of 28*x - 1/6*x**6 + 0 - 5/4*x**4 + 0*x**2 - 5/6*x**3 - 3/4*x**5. What is r in i(r) = 0?
-1, 0
Let x(l) = -l**2 - l - 3. Let f(i) = 2*i**2 + 10*i - 33. Let a(v) = -4*f(v) - 4*x(v). Determine c so that a(c) = 0.
-12, 3
Suppose -9*z - 24143 = -24161. Factor -4*j**3 - 44/5*j - 14/5 - 2/5*j**4 - 48/5*j**z.
-2*(j + 1)**3*(j + 7)/5
Factor -12/5 + 1/5*p**3 - 2*p**2 - 23/5*p.
(p - 12)*(p + 1)**2/5
Let t(y) = -y**2 - 11*y - 27. Let a be t(-8). Let z be 5 - (-2 + 1 + a/(-1)). Factor 0*j + 0 + 1/4*j**z + 1/4*j**2.
j**2*(j + 1)/4
Let o = -49 + 149. Let -19*n**2 + 80*n + n**3 + o + 0*n + 0*n**3 + 0*n**2 = 0. What is n?
-1, 10
Let t be 435/870*(1 + 9). Factor 1/8*n**t - 1/8 - 5/4*n**2 + 5/4*n**3 + 5/8*n - 5/8*n**4.
(n - 1)**5/8
Let f = -156/11 + 9371/660. Let x(a) be the second derivative of -f*a**4 + 0*a**2 + 13/150*a**6 - 9/100*a**5 + 1/15*a**3 - 2*a + 0 - 1/42*a**7. Factor x(z).
-z*(z - 1)**3*(5*z + 2)/5
Let a(t) = -t**2 - t + 1. Suppose 15 = -4*c - 9. Let q(r) = -2*r**3 + 8*r**2 - 22*r - 26. Let u(f) = c*a(f) + q(f). Factor u(k).
-2*(k - 4)**2*(k + 1)
Let f be (-1 - (-8)/6)*(17 - 8). Let u be ((-6)/65)/(f/(-5)). Solve -4/13*q - u - 2/13*q**2 = 0.
-1
Suppose 30 = -5*u - b, b = -3*b. Let q be (-4)/2 + 3/(-8)*u. Factor q*t**3 + 1/2*t**2 + 0 - 1/4*t**4 + 0*t.
-t**2*(t - 2)*(t + 1)/4
Let g(w) = 4*w**3 - 8*w**2 + 9*w. Let a(h) = -h**3 + h**2 - h. Let n(o) = 12*a(o) + 4*g(o). Solve n(z) = 0 for z.
0, 2, 3
Let t be 15/(-245)*(-1 - 9/(-30)). Let h = 5/14 + t. Factor 0 + h*u + 6/5*u**2.
2*u*(3*u + 1)/5
Suppose 8*x - 3*x - 10 = -3*w, 3*x = 2*w + 25. Let d(a) = a**2 + 2*a - 8. Let q(g) = g**2 + 2*g - 9. Let j(k) = x*q(k) - 6*d(k). What is m in j(m) = 0?
-3, 1
Suppose 2*u + 3*u - 10 = 0. Factor 10*z - 21*z**u - 1 - 4 + 16*z**2.
-5*(z - 1)**2
Let z be (1/1)/(8/16). Let x(j) be the third derivative of 2*j**z + 1/8*j**4 + 0*j - 1/20*j**5 - 1/40*j**6 + 0 + 1/2*j**3. Let x(h) = 0. Calculate h.
-1, 1
Let o(g) = -g - 12. Let p be o(-10). Let l be (-2 - 31)/(3/p). Suppose t**5 - 2*t**5 + l*t + 2*t**4 - 21*t - 2*t**2 + 0*t**4 = 0. Calculate t.
-1, 0, 1
Let q be 12/(-11)*(-428)/1284. What is v in -4/11*v**2 - 6/11*v + 0*v**4 + 8/11*v**3 - 2/11*v**5 + q = 0?
-2, -1, 1
Let w(v) be the second derivative of v**6/360 - v**5/60 + v**4/24 - v**3/18 + 3*v**2/2 - 46*v. Let y(u) be the first derivative of w(u). Solve y(h) = 0 for h.
1
Suppose -4*h + 0*d + 18 = 5*d, -h - 6 = -4*d. Factor 0*s**2 + 1 - 6*s**h + 2 + 3*s**2.
-3*(s - 1)*(s + 1)
Let l = -40187 - -40190. Find d such that -1/5*d**l + 0 - 36/5*d - 12/5*d**2 = 0.
-6, 0
Let l(y) = 8*y**3 + 4*y**2 - 12*y + 18. Let m(c) = c**3 - c + 2. Let h(x) = 4*l(x) - 36*m(x). Factor h(z).
-4*z*(z - 3)*(z - 1)
Factor 44*h + 130/3*h**2 + 0 - 2/3*h**3.
-2*h*(h - 66)*(h + 1)/3
Let o(n) be the second derivative of n**6/135 - 26*n**5/45 + 338*n**4/27 - 12*n - 11. Factor o(y).
2*y**2*(y - 26)**2/9
Let w(a) = 3*a**3 - 5*a**2 + 7*a - 15. Let v be w(4). Let t = 127 - v. Determine r so that -1/2*r**3 + 0 + r**t + 3/2*r = 0.
-1, 0, 3
Let a(q) = 4*q**2 - 10*q - 24. Let i be a(9). Let s = 2312/11 - i. Factor -4/11*b + 2/11*b**2 + s.
2*(b - 1)**2/11
Let q(t) be the first derivative of t**3/18 + 5*t**2/12 + 5. Factor q(m).
m*(m + 5)/6
Suppose 4*c - 26 = -5*h, -3*h + 4*c - 5 = 5. Let p(j) be the second derivative of -1/40*j**5 - 2*j + 0 - 1/8*j**4 - 1/6*j**3 + 0*j**h. Factor p(b).
-b*(b + 1)*(b + 2)/2
Determine l so that 36*l - 300*l**3 + 158*l**3 + 12*l**2 + 143*l**3 = 0.
-6, 0
Let o(z) be the first derivative of 2*z**3/15 + 31*z**2/5 + 12*z - 183. Solve o(u) = 0.
-30, -1
Let k(q) = 2*q**3 - 520*q**2 + 17398*q - 32766. Let w(n) = -5*n**3 + 1560*n**2 - 52189*n + 98297. Let o(f) = 7*k(f) + 2*w(f). Factor o(d).
4*(d - 64)**2*(d - 2)
Determine p, given that -1/5*p**2 + 0 + 0*p + 1/5*p**3 = 0.
0, 1
Let v = 14134/3 - 4710. Determine n, given that 0 + 4/3*n**4 + 0*n**2 + v*n**3 + 0*n = 0.
-1, 0
Let f(c) be the third derivative of c**8/336 - 8*c**7/105 - c**6/6 + 23*c**5/30 + 83*c**4/24 + 17*c**3/3 - 14*c**2 - 1. Solve f(l) = 0.
-1, 2, 17