Factor -913066/5*b - 36036/5*b**3 - 2/5*b**5 - 189728*b**2 + 0 - 464/5*b**4.
-2*b*(b + 1)*(b + 77)**3/5
Let w be (-22)/88 - 19/(-44). Solve 0*q**2 - 2/11*q**4 + 4/11*q**3 + w - 4/11*q = 0 for q.
-1, 1
Suppose -m = 4*w + m + 46, -5*w - 59 = m. Let j be ((w/9)/(-4))/(77/66). Find h such that 2/7*h**3 + 0*h + j*h**2 + 0 = 0.
-1, 0
Let l(o) be the second derivative of -5/6*o**4 + o**3 - 6*o + 0 + 1/10*o**5 + 9*o**2. Factor l(q).
2*(q - 3)**2*(q + 1)
Let 2 - 1 - 4 - 2 + s**2 + 4*s = 0. What is s?
-5, 1
Suppose 0 = -n - 2*n - 5*h - 2, 5*h = 3*n - 38. Let z = n - 4. Suppose -6*k**2 - 10*k**2 - 10*k + z*k**2 + 2 + 2 = 0. What is k?
-1, 2/7
Let v(k) = -9*k**2 + 523*k - 17429. Let n(o) = -26*o**2 + 1570*o - 52286. Let l(a) = 5*n(a) - 14*v(a). Find y, given that l(y) = 0.
66
Let z(l) = l**3 + 4*l**2 - 2*l - 4. Let c be z(-4). Let d be 4/(-4*c/(-16)). Find y, given that 13*y - 1 - 4*y**2 + 1 + y**5 + 6*y**3 - 12*y - 4*y**d = 0.
0, 1
Let l(j) be the third derivative of -j**6/40 + 9*j**5/20 - 5*j**4/2 + 293*j**2. Factor l(m).
-3*m*(m - 5)*(m - 4)
Let o(p) be the second derivative of p**4/32 + 5*p**3/8 + 63*p**2/16 + 280*p. Let o(w) = 0. Calculate w.
-7, -3
Let p(f) = f**2 - 51*f + 8. Let g(l) = -2*l**2 + 51*l - 10. Let q(a) = -4*g(a) - 5*p(a). Factor q(w).
3*w*(w + 17)
Let f(k) be the third derivative of 0*k + 1/480*k**6 + 17*k**2 + 0 + 0*k**3 + 1/840*k**7 - 1/240*k**5 + 0*k**4 - 1/1344*k**8. Factor f(y).
-y**2*(y - 1)**2*(y + 1)/4
Let f = -2038 - -6139/3. Let q(o) be the first derivative of -10 - 35/2*o**2 + 15*o + f*o**3 - 5/4*o**4. Factor q(v).
-5*(v - 3)*(v - 1)**2
Suppose 0 = 10*n - 21 - 19. Factor -15*s**3 + 20*s**2 - n - 261*s**4 + 256*s**4 + 4.
-5*s**2*(s - 1)*(s + 4)
Let n(b) be the first derivative of -b**4/96 - b**3/24 - 3*b + 3. Let u(r) be the first derivative of n(r). Factor u(s).
-s*(s + 2)/8
Suppose 39 = 12*c + 7*c - 37. Factor 0*h**3 + 0 + 3/7*h**2 - 3/7*h**c + 0*h.
-3*h**2*(h - 1)*(h + 1)/7
Let r(h) be the third derivative of h**8/2352 - 3*h**7/490 - h**6/280 + 29*h**5/420 - 3*h**4/28 - 36*h**2. Solve r(n) = 0 for n.
-2, 0, 1, 9
Let l(t) be the first derivative of -5*t**3/3 + 15*t**2 - 25*t - 20. Factor l(h).
-5*(h - 5)*(h - 1)
Let m(o) be the third derivative of o**6/24 - o**5 + 55*o**4/24 - 5*o**2 - 5*o. Factor m(f).
5*f*(f - 11)*(f - 1)
Determine k, given that 3*k**2 - 162*k + 34*k**2 + 56 - 42*k - 9*k**2 = 0.
2/7, 7
Let x(a) = -26*a**5 + 44*a**4 + 24*a**3 - 77*a**2 - 9*a. Let u(v) = 5*v**5 - 9*v**4 - 5*v**3 + 15*v**2 + 2*v. Let p(k) = 11*u(k) + 2*x(k). Solve p(t) = 0 for t.
-1, -1/3, 0, 1, 4
Let v be -4 + (-2 + -4)/(-1). Suppose -2*p = 4*r + 16, -v*r = -2*p - r + 4. What is o in -3/5*o**2 + p + 6/5*o = 0?
0, 2
Let b be (-2)/(-9) - (-816)/459 - -2. Let h(q) be the second derivative of 1/6*q**b + q**3 + 2*q**2 + 6*q + 0. Factor h(w).
2*(w + 1)*(w + 2)
Let x be -4 + (-2)/6*(-1 + -20). Determine s, given that -4/5*s + 2/5*s**2 + 2/5*s**x + 0 = 0.
-2, 0, 1
Factor -7*o + o**2 - 13*o - 4*o - 2*o**2 + 5*o.
-o*(o + 19)
Let a(q) = -30*q**4 - 30*q**3 - 3*q**2. Let s(k) = -31*k**4 - 29*k**3 - 2*k**2. Let b(c) = 4*a(c) - 3*s(c). Solve b(g) = 0 for g.
-1, -2/9, 0
Let t(q) be the third derivative of -2*q**7/315 + 19*q**6/360 + q**5/20 - 19*q**4/72 - 5*q**3/18 - 2*q**2 - 402*q. Determine x so that t(x) = 0.
-1, -1/4, 1, 5
Solve 372/13*u + 2/13*u**2 + 17298/13 = 0 for u.
-93
Let m(b) = 3*b**5 - 8*b**4 - 12*b**3 + 22*b**2 - 2*b. Let l(h) = -6*h**5 + 17*h**4 + 24*h**3 - 43*h**2 + 5*h. Let n(f) = -2*l(f) - 5*m(f). Factor n(w).
-3*w**2*(w - 2)**2*(w + 2)
Let b(v) = -5*v - 23. Let h be b(-9). Let k be 1/(h*(-1)/(-4)). What is s in -2/11*s**5 + 0*s + 0 - k*s**4 + 2/11*s**2 + 2/11*s**3 = 0?
-1, 0, 1
Let l(m) be the second derivative of -m**6/2880 + m**5/320 - m**4/96 - 11*m**3/3 - 32*m. Let y(t) be the second derivative of l(t). Let y(r) = 0. What is r?
1, 2
Suppose -15*c + 568 = 27*c + 484. Determine x so that -10/19*x**c - 12/19*x + 0 - 2/19*x**3 = 0.
-3, -2, 0
Let m = 281/1100 + -3/550. Factor 3/2*p**2 - 2 + 5/4*p**3 + m*p**4 - p.
(p - 1)*(p + 2)**3/4
Let m = -5887 + 5887. Factor 0 + m*s - 4/5*s**2 + 2/5*s**3 + 2/5*s**4.
2*s**2*(s - 1)*(s + 2)/5
Suppose -3*c - 3*q + 15 = -0*c, -c = 3*q - 3. Suppose c*b**2 + 4*b - 3*b**3 - 4*b - 3*b**2 = 0. What is b?
0, 1
Let o(l) be the first derivative of l**6/21 + 6*l**5/35 - 2*l**4/7 - 511. Let o(i) = 0. What is i?
-4, 0, 1
Let g(m) be the second derivative of 1/180*m**6 - 3*m + 1/30*m**5 + 0 - 1/4*m**4 - 1/6*m**3 + 0*m**2. Let t(r) be the second derivative of g(r). Factor t(z).
2*(z - 1)*(z + 3)
Determine n so that 1/3*n**3 - 2/3 + 2/3*n**2 - 1/3*n = 0.
-2, -1, 1
Let l(r) = -r**2 + r + 1. Let d(u) = -3*u**4 - 48*u**3 - 237*u**2 - 237*u + 528. Let a(n) = d(n) - 3*l(n). Factor a(g).
-3*(g - 1)*(g + 5)**2*(g + 7)
Determine x, given that 0 - 3/7*x**2 - 6/7*x + 6/7*x**3 + 3/7*x**4 = 0.
-2, -1, 0, 1
Factor 4630500 + 504*p**2 + 67928*p + 64372*p + 756*p**2 + 4*p**3.
4*(p + 105)**3
Suppose 12*c - 13*c = 44. Let p = c - -46. Factor 2/7*n - 1/7*n**p - 1/7.
-(n - 1)**2/7
Let j(x) be the first derivative of -10*x**6/3 - 24*x**5 - 145*x**4/4 + 85*x**3/3 + 45*x**2 - 40*x + 13. Find c, given that j(c) = 0.
-4, -2, -1, 1/2
Let f be ((112/3)/(-7))/(6/(-9)). Suppose 16/3 - q**3 - f*q + 1/12*q**4 + 13/3*q**2 = 0. What is q?
2, 4
Let d = -4 - -7. Suppose 0 = -g + 4*y + 72, 0 = -4*y + 3*y - d. What is p in 18*p**3 - p**2 - g + 56 - 2*p**2 - 18*p - p**2 + 8*p**4 = 0?
-2, -1, -1/4, 1
Factor 3/10*t**2 + 9/10*t - 1/10*t**3 - 27/10.
-(t - 3)**2*(t + 3)/10
Let n(o) be the second derivative of o**7/168 - o**6/60 + o**4/24 - o**3/24 + 36*o. Factor n(d).
d*(d - 1)**3*(d + 1)/4
Let f = -65/16 + 6061/1488. Let d = f + 175/1023. Factor -8/11*z**2 + 0 + 6/11*z**3 + d*z.
2*z*(z - 1)*(3*z - 1)/11
Let z(j) be the first derivative of 3*j**4/16 - 9*j**2/8 + 3*j/2 + 204. Factor z(q).
3*(q - 1)**2*(q + 2)/4
Let f(u) = u**3 + 2*u**2 + u + 5. Let x(o) = -2. Let q(i) = 3. Let y(s) = 5*q(s) + 7*x(s). Let v(d) = -f(d) + 5*y(d). Determine z so that v(z) = 0.
-1, 0
Let f(g) be the third derivative of 0*g + 2*g**4 + 5*g**2 + 1/3*g**5 + 0 + 8/3*g**3. Factor f(h).
4*(h + 2)*(5*h + 2)
Let q(v) be the first derivative of -3*v**6/4 - 933*v**5/10 - 23071*v**4/8 + 19099*v**3/2 - 11130*v**2 + 5618*v - 297. Determine l, given that q(l) = 0.
-53, 2/3, 1
Let f(v) = -2*v**3 + v**2 - 1. Let j(z) = -9*z**3 + 16*z**2 - 45*z + 50. Let y(o) = -20*f(o) + 5*j(o). Find q, given that y(q) = 0.
3, 6
Factor -29*v**2 + 4*v - 1029 + 25*v**3 + 1033 - 4*v**3.
(v - 1)*(3*v - 2)*(7*v + 2)
Let c = 1367 + -1362. Let j(p) be the first derivative of -1/6*p**3 - 2*p - 2/5*p**5 + 3/2*p**4 - 3*p**2 - c. Find r such that j(r) = 0.
-1/2, 2
Suppose -20 = -5*x + 4*v, -4*x - 2*v - 5 = -v. Suppose 5*n - 3*t = 1, 8*t = -2*n + 3*t + 19. Let 0 + x*k - 1/5*k**n + 2/5*k**3 - 1/5*k**4 = 0. Calculate k.
0, 1
Let b be (3 - (-15)/(-9))/(2/(-6)). Let z be (b/10)/(9/(-15)). Suppose 0 - f**2 + z*f + 1/3*f**3 = 0. What is f?
0, 1, 2
Factor 0*r**2 + 0*r + 4/3*r**5 - 4*r**3 - 13/3*r**4 + 0.
r**3*(r - 4)*(4*r + 3)/3
Let b(x) = -x**4 - x**3 - x**2 - x - 1. Let n(v) = 4*v**2 + 2*v + 4 + 0*v - 5*v**5 - 6*v**4 + 2*v - v**3. Let h(t) = -4*b(t) - n(t). What is u in h(u) = 0?
-1, 0
Let a(u) be the first derivative of 0*u**2 - 7/5*u**5 + 0*u - 49/18*u**6 - 4/9*u**3 - 22 + 2*u**4. Factor a(n).
-n**2*(n + 1)*(7*n - 2)**2/3
Let g be (-594)/23 + -153 + 179. Determine b so that -2/23 - g*b - 8/23*b**3 + 14/23*b**2 = 0.
-1/4, 1
Suppose 5 = -27*b + 28*b - f, 5*b + 5*f + 25 = 0. Factor -2/13*w**5 + 0*w - 18/13*w**3 + b + 12/13*w**4 + 0*w**2.
-2*w**3*(w - 3)**2/13
Let q(u) be the third derivative of u**5/450 + u**4/30 - 7*u**3/45 - 7*u**2 - 4. Let q(c) = 0. Calculate c.
-7, 1
Let g(d) be the second derivative of d**5/90 - 109*d**4/54 - 516*d. Let g(b) = 0. Calculate b.
0, 109
Let i(a) = a**2 + 3*a + 4. Let u = 11 + -14. Let b be i(u). Let 38/3*m**b + 0 + 0*m**3 - 8*m**5 + 4/3*m - 6*m**2 = 0. Calculate m.
-2/3, 0, 1/4, 1
Suppose -58*i = -10 - 164. Let t be (-2)/(-1)*(-2)/(-14). Let t*s**i + 0*s**2 + 0 + 0*s = 0. Calculate s.
0
Let 0 + 0*o**3 + 1/12*o**4 - 1/12*o**2 + 0*o = 0. Calculate o.
-1, 0, 1
Let t(v) = 2*v**3 - 12*v**2 + 2*v - 10. Let h be t(6). Let c(o) be the second derivative of 0 - 4/15*o**3 + 0*o**h - 2/15*o**4 - 1/50*o**5 +