 + l*a**3. Factor f(g).
3*g**2*(g - 1)
Suppose -2044*v**4 - 66*v - 18 - 27 + 2041*v**4 + 18*v**3 = 0. What is v?
-1, 3, 5
Let m(a) be the second derivative of 2/15*a**6 + 1/5*a**5 + 0 + 0*a**3 - 2/3*a**4 + 14*a + 0*a**2. Factor m(p).
4*p**2*(p - 1)*(p + 2)
Suppose 7*j - 142 - 12 = 0. Factor -34 + 24*a + j + 12*a**3 + 45*a**2 + 12*a.
3*(a + 2)**2*(4*a - 1)
Let m(n) be the third derivative of n**6/90 - 59*n**5/180 - 5*n**4/24 + 80*n**2. Factor m(o).
o*(o - 15)*(4*o + 1)/3
Let s = -170/367 - -47383/23855. Let z = s + -12/13. Solve -z*c**3 - 3/5*c**2 + 0 + 0*c = 0 for c.
-1, 0
Let u(p) be the first derivative of -4*p**3/3 + 340*p**2 - 28900*p - 80. Factor u(d).
-4*(d - 85)**2
Suppose -5*u + 122 = -7*d + 5*d, -5*d + 5*u = 290. Let r = -54 - d. Factor -1/2 - 10*y**r + 17/4*y + 4*y**3.
(y - 2)*(4*y - 1)**2/4
Let v(c) = c**3 + 7*c**2 + 35*c + 25. Let h = -102 + 109. Let s(o) = -2*o**3 - 15*o**2 - 70*o - 50. Let r(q) = h*v(q) + 4*s(q). Factor r(p).
-(p + 1)*(p + 5)**2
Let z = -63 - -65. Determine i so that -2*i + 5*i + 4*i**2 - 2*i**2 + i**z = 0.
-1, 0
Let v = 3753 + -30015/8. Determine q so that 3/4*q**2 + v*q + 1/2 + 1/8*q**3 = 0.
-4, -1
Let c(t) be the second derivative of t**4/18 + 4*t**3/9 + 2*t + 26. Solve c(r) = 0.
-4, 0
What is w in -1/4 - 1/8*w**3 + 1/4*w**2 + 1/8*w = 0?
-1, 1, 2
Let l(x) = 6*x**2 - 18. Let k(w) = w**2 - 1. Let d(c) = c**3 + 2*c**2 - 2*c + 2. Let m be d(-3). Let h(r) = m*l(r) + 2*k(r). Factor h(g).
-4*(g - 2)*(g + 2)
Let m(r) = -30*r**2 + 22. Let i(y) = y**3 + 62*y**2 - y - 42. Let x(z) = -2*i(z) - 5*m(z). Suppose x(d) = 0. What is d?
-1, 1, 13
Let t(j) be the first derivative of j**6/42 + 19*j**5/35 + 65*j**4/14 + 50*j**3/3 + 125*j**2/14 - 625*j/7 - 526. Factor t(b).
(b - 1)*(b + 5)**4/7
Suppose j - 4 = -j + 2*m, 14 = 4*j - 2*m. Suppose -j*a + 324 = -a. Let -21*c - 153*c**2 + 6 - 63*c - a*c**3 - 6 - 12 = 0. Calculate c.
-1, -2/3, -2/9
Factor 108*z + 15*z**2 + 71*z**2 + 49*z**2 + 12.
3*(3*z + 2)*(15*z + 2)
Let b(p) = -2*p**4 + 280*p**3 - 3627*p**2 - 8120*p - 4205. Let o(c) = 3*c**4 - 280*c**3 + 3628*c**2 + 8120*c + 4205. Let u(s) = 2*b(s) + 3*o(s). Factor u(f).
5*(f - 29)**2*(f + 1)**2
Determine f, given that f**2 + f**5 + 0 - 3/2*f**3 + 0*f - 3/2*f**4 = 0.
-1, 0, 1/2, 2
Factor -44/17*o**2 + 2/17*o**3 - 2/17*o + 44/17.
2*(o - 22)*(o - 1)*(o + 1)/17
Suppose -3*l = -2*l + 4*p + 10, -14 = -4*l + 2*p. Suppose -77 = -17*s - 26. Factor -g**2 + 5*g**l + 3*g - 4*g - 2*g**s - g.
-2*g*(g - 1)**2
Let s = -8 + 12. Suppose 3*n = 5 + s. Factor p - 8*p + n*p + 3 + p**2.
(p - 3)*(p - 1)
Let g(f) be the second derivative of f**4/24 - f**3/3 - 5*f**2/4 + 6*f - 1. Factor g(i).
(i - 5)*(i + 1)/2
Let k = -56 - -69. What is y in 6*y + k*y**3 + 4*y**3 + y**4 - 422*y**2 - 3*y**5 + 441*y**2 = 0?
-1, -2/3, 0, 3
Let m(i) = i**2 + 6*i + 1. Let w(q) = -5*q**2 - 18*q + 71. Let j(k) = -30*m(k) - 5*w(k). Factor j(l).
-5*(l + 7)*(l + 11)
Let k be (-24)/(-16) - -4*42/448. Factor -9/2*r**2 - k - 21/4*r + 3/8*r**4 - 3/4*r**3.
3*(r - 5)*(r + 1)**3/8
Find z such that -1/4*z**2 - 71/4*z + 0 = 0.
-71, 0
What is g in 16/9*g - 7*g**5 - 457/9*g**3 + 197/9*g**2 - 4/3 + 319/9*g**4 = 0?
-2/9, 2/7, 1, 3
Suppose 1 = -4*o - i, 9*i = 2*o + 7*i - 12. Let n be (-8)/(-20) + ((-272)/(-70))/o. Factor -8*a**3 - n*a**2 + 0 - 4/7*a.
-2*a*(4*a + 1)*(7*a + 2)/7
Suppose 0 = 2*z + 3*d + 5, -z - 14 - 1 = 4*d. Let p(s) be the first derivative of z + 2/11*s - 2/11*s**3 - 2/11*s**2. Factor p(n).
-2*(n + 1)*(3*n - 1)/11
Let x(k) = -10*k**2 + 9*k + 19. Let j be -6*(3/(-9) - -1). Let i(d) = 5*d**2 - 4*d - 9. Let a(b) = j*x(b) - 9*i(b). What is l in a(l) = 0?
-1, 1
Suppose -2*n = -4*v + 74, 9*n - 88 = -3*v + 4*n. Suppose -v*w + 20*w = 0. Let w*g**3 - 2*g**2 + 0 + 2/3*g**4 + 4/3*g = 0. What is g?
-2, 0, 1
Determine n so that -6*n**3 + 0*n + 0*n**2 + 0 - 3/2*n**5 - 6*n**4 = 0.
-2, 0
Let c(g) be the first derivative of g**4/10 - 38*g**3/15 + 99*g**2/5 - 162*g/5 + 31. Find r such that c(r) = 0.
1, 9
Let d(j) = j**3 - 11*j**2 + 35*j - 21. Let o(q) = -2*q**3 + 22*q**2 - 70*q + 41. Let y(l) = -9*d(l) - 4*o(l). Suppose y(f) = 0. What is f?
1, 5
Let v(x) = x**3 + 11*x**2 - 3*x + 8. Let u be v(-11). Let d = u - 39. Let 1/2*k - 1 + 1/2*k**d = 0. Calculate k.
-2, 1
Let x(u) be the second derivative of -u**8/84 + 8*u**7/105 - u**6/6 + 2*u**5/15 - u**2 + 15*u. Let i(p) be the first derivative of x(p). Solve i(g) = 0 for g.
0, 1, 2
Suppose -39*o = -40*o + 4. Let y(m) be the second derivative of 2*m + 0*m**o - 1/50*m**5 + 0 + 0*m**2 + 1/15*m**3. Let y(h) = 0. What is h?
-1, 0, 1
Let n(q) = -8107*q**2 - 312*q - 13. Let c(y) = -16215*y**2 - 624*y - 24. Let z(l) = -5*c(l) + 9*n(l). Factor z(w).
3*(52*w + 1)**2
Let r be 76/12 + (-1)/3. Suppose -5*t = -q - 10, 5*t - r = 4. Factor q*n**2 - 4*n - 2*n**4 - 22*n**2 + 16*n**5 + 26*n**3 - 6*n**4 - 62*n**3.
2*n*(n - 2)*(2*n + 1)**3
Let j = 23 - 15. Let q = j + -7. Find t, given that 4 + 3*t**2 + q - 6*t - 2 = 0.
1
Let k be 0 + (2 - -2) + -2. Determine r, given that -10*r**2 - 8 + 32*r + 0*r**k - 3*r**2 - r**2 = 0.
2/7, 2
Let f = 177 + -715/4. Let v = f - -29/12. Factor -2/3*j + 4/3*j**2 - 4/3*j**4 + 0*j**3 + 0 + v*j**5.
2*j*(j - 1)**3*(j + 1)/3
Let q = 54443/4 + -13533. Let v = q - 71. What is j in 3/4*j**2 + v + 9/2*j = 0?
-3
Suppose 40 - 46 = -3*g. Factor -1182 - 16*f**3 + 1182 + 14*f**g + 14*f**2 + 8*f.
-4*f*(f - 2)*(4*f + 1)
Suppose 3*o - 6 = 21. Let u be 138/o + (-1)/3. Factor 13*m**2 + 3*m**4 + 12*m - 3*m**2 + u*m**3 + 14*m**2.
3*m*(m + 1)*(m + 2)**2
Let h(r) = -10*r**2 - 448*r - 12553. Let z(s) = -108*s**2 - 4928*s - 138080. Let j(b) = 32*h(b) - 3*z(b). Factor j(k).
4*(k + 56)**2
Let f = 18/319 - -332/5423. Determine l, given that 0 + 0*l**3 - 12/17*l - f*l**4 + 14/17*l**2 = 0.
-3, 0, 1, 2
Suppose 4*l - j = -l - 25, 4*j = -4*l + 4. Let m be (4*l/(-12))/2. Solve m*g + 1/3*g**3 - g**2 + 0 = 0 for g.
0, 1, 2
Let y be (-300)/((-262)/16 + ((-221)/(-104))/(-17)). Determine z so that y*z - 1250/11*z**2 - 8/11 = 0.
2/25
Let z(c) = 3*c**2 + 3*c - 1. Let f(x) = x**2 + x. Let y(a) = -5*f(a) + 2*z(a). Solve y(i) = 0 for i.
-2, 1
Factor 0 - 10/19*r**2 - 2/19*r.
-2*r*(5*r + 1)/19
Let j(a) be the third derivative of -a**7/315 + a**6/180 + a**5/45 - 25*a**2. Factor j(r).
-2*r**2*(r - 2)*(r + 1)/3
Let w be 20/(-6) + 1860/558. Factor 0 + 1/4*z**4 + w*z**2 + 1/4*z**3 + 0*z.
z**3*(z + 1)/4
Let z = 125/4 - 156/5. Let u(o) be the third derivative of 0*o**3 + 0*o**4 + 0 - 1/70*o**7 + 0*o**5 + 0*o - z*o**6 + 5*o**2. Factor u(w).
-3*w**3*(w + 2)
Solve 8/5*h**3 - 2/5*h**4 + 8/5*h**2 - 2/5*h**5 + 0 + 0*h = 0 for h.
-2, -1, 0, 2
Solve -2/7*b**2 - 53138/7 + 652/7*b = 0 for b.
163
Let u = -1187/44 + 338/11. Factor 15/2*z**3 - 15/4*z**4 + u*z - 3/4 - 15/2*z**2 + 3/4*z**5.
3*(z - 1)**5/4
Factor -2/5*t**4 + 12/5*t**3 + 0 + 38/5*t**2 - 48/5*t.
-2*t*(t - 8)*(t - 1)*(t + 3)/5
Suppose 21*p - 23*p - 4*g - 20 = 0, -p = -2*g - 14. Factor 1/3*t - t**p - 1/3*t**4 + 0 + t**3.
-t*(t - 1)**3/3
Let n be (1/(-6))/((-290)/56 + 5). Let c = n + 13/15. Let -21/5*m + 3*m**2 - 3/5*m**3 + c = 0. Calculate m.
1, 3
Let h(b) be the third derivative of 2/3*b**3 - 1/12*b**4 + 0*b + 0 - 8*b**2 - 1/30*b**5. Factor h(l).
-2*(l - 1)*(l + 2)
Let v be 13/(-39) - (-2)/(-6)*-1. Suppose 16*z - 5*z = v. Factor 0 + 0*c**2 + 0*c**4 - 2/3*c**5 + z*c + 2/3*c**3.
-2*c**3*(c - 1)*(c + 1)/3
Let -7/2*p**2 - 3/2*p**3 + 3/2*p**4 + 0 + 3*p + 1/2*p**5 = 0. Calculate p.
-3, -2, 0, 1
Let w(u) be the third derivative of -u**5/120 + u**3/12 + 90*u**2. Find y, given that w(y) = 0.
-1, 1
Let x(s) be the first derivative of -2*s**3/3 - 15*s**2 - 52*s - 602. Factor x(a).
-2*(a + 2)*(a + 13)
Let z(f) be the first derivative of 11/3*f**3 + 0*f - 1/360*f**6 - 2/3*f**4 - 11 + 1/15*f**5 + 0*f**2. Let c(t) be the third derivative of z(t). Factor c(q).
-(q - 4)**2
Let s(l) be the first derivative of l**6/6 - 2*l**5/5 - 3*l**4/2 + 4*l**3/3 + 13*l**2/2 + 6*l - 222. Solve s(p) = 0 for p.
-1, 2, 3
Factor 634*d**2 - 3*d**3 - 634*d**2 + 3*d.
-3*d*(d - 1)*(d + 1)
Let g(n) = -n**2 + 8*n - 7. Let j(u) = -8*u**2 + 56*u - 48. Let k be 5 - 2*(0 + 1). Let a(t) = k*j(t) - 20*g(t). Factor a(d).
-4*(d - 1)**2
Let k(o) be the second derivative of 8*o**6/75 - o**5/5 - 3*o**4/5 + 34*o**3/15 - 14*o**2/5 + 57*o - 2. Find u, given that k(u) = 0.
-7/4, 1
Let n = -583 + 4083/7. 