(n).
-3*(n - 4)*(n + 9)/5
Factor -88/3*b - 314/9*b**2 - 2*b**4 - 44/3*b**3 - 8.
-2*(b + 3)**2*(3*b + 2)**2/9
Let v be 5 + (-4)/((-2)/(-2)). Suppose -2*b + 9 - v = 0, 31 = 5*t + 4*b. Solve 0*c**2 - 9/2*c + 3 + 3/2*c**t = 0 for c.
-2, 1
Let c = 37/18 - 25/18. Factor -2/3*d - 2/3*d**2 + c*d**3 + 2/3.
2*(d - 1)**2*(d + 1)/3
Let p = -760/7 + 5877/56. Let k = -25/8 - p. Determine r, given that 1/2*r**2 - k*r - 1/2*r**4 + 1/2*r**3 + 0 = 0.
-1, 0, 1
Let z(j) = j**4 + 2*j**3 - 3*j**2 - 2*j + 6. Let l = 6 - 5. Let k(g) = -g - 1. Let r(u) = l*z(u) + 2*k(u). Find i, given that r(i) = 0.
-2, 1
Let s = 208801/8 + -26098. Factor -1/8*w**2 + 0 + s*w.
-w*(w - 17)/8
Let h = 16 + -14. Let g(d) be the third derivative of d**5/60 - d**4/24 - 4*d**3/3 + 4*d**2. Let r(i) = i**2 - i + 1. Let n(c) = h*r(c) + g(c). Factor n(o).
3*(o - 2)*(o + 1)
Let r(u) = u + 10. Let x be r(-14). Let h be (1/2)/((-2)/x) + -1. Find n such that 8/3*n**3 + 2/3*n - n**4 - 7/3*n**2 + h = 0.
0, 2/3, 1
Let b(s) = 10*s**2 + 65*s + 105. Let v(z) = -5*z**2 - 32*z - 53. Let h(d) = 3*b(d) + 5*v(d). Factor h(q).
5*(q + 2)*(q + 5)
Let l(t) = 29*t**3 + 12*t**2. Let p(i) be the second derivative of i**5/4 + i**4/6 - 10*i. Let q(d) = -6*l(d) + 34*p(d). Let q(v) = 0. What is v?
-1, 0
Let p(m) be the third derivative of -3*m**8/49 + 4*m**7/245 + 53*m**6/280 - 9*m**5/140 - 5*m**4/56 + m**3/14 - 5*m**2 - 5*m. Find g, given that p(g) = 0.
-1, -1/3, 1/4, 1
Let u(g) be the first derivative of g**6/2 + 3*g**5/5 - 6*g**4 - 8*g**3 + 24*g**2 + 48*g - 261. Find d such that u(d) = 0.
-2, -1, 2
Solve 2/17*g**2 - 160/17*g - 162/17 = 0 for g.
-1, 81
Let c(n) = 8*n**2 - 20*n - 12. Let x(y) be the third derivative of -y**5/60 + y**4/24 - 14*y**2. Let k(l) = c(l) + 10*x(l). Factor k(o).
-2*(o + 2)*(o + 3)
Let s(i) be the first derivative of -i**3 + 12*i**2 - 36*i + 89. Factor s(o).
-3*(o - 6)*(o - 2)
Let a = 461 + -847/2. Let u(h) be the second derivative of 12*h + 375/2*h**2 + 0 + 3/20*h**5 + a*h**3 + 15/4*h**4. Factor u(y).
3*(y + 5)**3
Let c(a) be the third derivative of -a**6/280 + a**5/35 + a**4/56 - 2*a**3/7 + 17*a**2 + 7*a. Let c(h) = 0. Calculate h.
-1, 1, 4
Let d(p) be the first derivative of -4*p**7/1155 + p**6/660 - 6*p**2 + 6. Let g(m) be the second derivative of d(m). Let g(n) = 0. What is n?
0, 1/4
Let q(n) be the first derivative of -n**7/210 - n**6/60 + n**4/12 + n**3/6 + 19*n**2/2 - 28. Let y(x) be the second derivative of q(x). Factor y(t).
-(t - 1)*(t + 1)**3
Let s(f) be the second derivative of -5*f**7/42 + 2*f**5 + 5*f**4/2 - 35*f**3/6 - 15*f**2 - 34*f. Suppose s(h) = 0. Calculate h.
-2, -1, 1, 3
Let x(d) = 8*d**2 - 61*d - 97. Let v(f) = -3*f**2 + 21*f + 32. Let b(q) = 7*v(q) + 2*x(q). Let b(z) = 0. Calculate z.
-1, 6
Factor 8 + 4/3*a**2 + 28/3*a.
4*(a + 1)*(a + 6)/3
Let o(b) be the first derivative of -b**6/15 - 6*b**5/25 - 3*b**4/10 - 2*b**3/15 + 88. Determine y so that o(y) = 0.
-1, 0
Let l(h) be the second derivative of h**4/54 - 2*h**3/27 - 5*h**2/3 + 2*h - 13. Determine w so that l(w) = 0.
-3, 5
Let d(j) be the first derivative of -3/32*j**4 - 3/8*j**3 + 3/8*j + 3/16*j**2 - 6 + 3/20*j**5. What is t in d(t) = 0?
-1, -1/2, 1
Let o(n) = -44*n**4 + 174*n**3 + 491*n**2 - 96*n + 10. Let k(q) = 22*q**4 - 86*q**3 - 245*q**2 + 48*q - 6. Let w(p) = -10*k(p) - 6*o(p). Solve w(g) = 0.
-2, 0, 2/11, 6
Let o(a) be the first derivative of a**4 + 116*a**3/3 + 528*a**2 + 2880*a + 438. Factor o(h).
4*(h + 5)*(h + 12)**2
Suppose -5*o = 3*b + 15, -5*b = 3*o - 0*b + 25. Factor 0*x - 4/5*x**3 + 0 + o*x**2 - 6/5*x**4 - 2/5*x**5.
-2*x**3*(x + 1)*(x + 2)/5
Find k such that -32*k**2 - 36 + 56*k**4 - 52*k**4 - 8*k**3 + 41*k + 31*k = 0.
-3, 1, 3
Let k(j) be the third derivative of j**7/560 - j**6/320 - 7*j**5/160 + 13*j**4/64 - 3*j**3/8 + j**2 - 27. Determine m so that k(m) = 0.
-3, 1, 2
Let j(f) = -f**3 - 4*f**2 - 16*f - 20. Let p be j(-2). Solve 0 + 2/5*y**3 + 0*y**2 + 0*y**p - 1/5*y - 1/5*y**5 = 0 for y.
-1, 0, 1
Let m = 11870 - 11867. Suppose 3/2*b**m - 3/2*b**2 + 0 + 3/2*b**4 - 3/2*b = 0. What is b?
-1, 0, 1
Let i be 18 - (336/(-147) + 18). Factor 0*v**3 - i*v + 6/7 + 12/7*v**2 - 2/7*v**4.
-2*(v - 1)**3*(v + 3)/7
Let x(z) be the first derivative of 1/60*z**4 + 0*z**3 - 1/10*z**2 - 7 - 6*z. Let y(c) be the first derivative of x(c). Solve y(q) = 0 for q.
-1, 1
Let y(b) be the first derivative of -3*b**6 + 76*b**5/5 - 49*b**4/2 + 40*b**3/3 - 549. Factor y(a).
-2*a**2*(a - 1)**2*(9*a - 20)
What is k in -1/6*k**4 - k**3 + 0*k + 7/6*k**2 + 0 = 0?
-7, 0, 1
Let y = 1 + 1. Suppose -3*p + t = 4*t + 9, 2*p - 5*t - 29 = 0. Find h such that 3*h**p + 2*h**2 - 2*h**2 + 0*h - y*h = 0.
0, 2/3
Let k be (-80)/(-140) + (-62)/(-14). Let m(o) be the second derivative of 44/15*o**3 + 121/30*o**4 + 0 + 4/5*o**2 + k*o. Let m(x) = 0. What is x?
-2/11
Let k be (-4*(-6)/48)/(1/10). Find y, given that 54*y**4 + 15*y - k*y**3 - 18*y**2 - 11*y + 5*y**3 = 0.
-2/3, 0, 1/3
Factor -221*f**3 + 9*f**4 + 3132*f**2 + 445*f**3 - 224*f - 3136 - 5*f**4.
4*(f - 1)*(f + 1)*(f + 28)**2
Find f, given that 2*f**3 + 150 - 150 - 6*f + 6*f - 18*f**2 = 0.
0, 9
Let g(z) be the first derivative of -3/10*z**2 + 0*z**3 + 1/20*z**4 - 1 - 2/5*z. Factor g(w).
(w - 2)*(w + 1)**2/5
Let b(t) be the first derivative of 2*t**3/15 - 2*t**2/5 + 2*t/5 + 58. Let b(g) = 0. Calculate g.
1
Let x(y) = -5*y**4 - 6*y**3 - 4*y**2 + 2*y - 3. Let i(v) = -14*v**4 - 17*v**3 - 11*v**2 + 6*v - 8. Let o(a) = -4*i(a) + 11*x(a). Determine u so that o(u) = 0.
-1, 1
Let b(m) = 8*m**3 - 4*m**2 - 41*m - 50. Let c(k) = -k**3 + 3*k**2 - 1. Let r(u) = -5*b(u) - 35*c(u). Let r(x) = 0. What is x?
-19, -1, 3
Factor 360 + 238*u**2 + 231*u**2 - 465*u**2 + 188*u.
4*(u + 2)*(u + 45)
Let m(j) be the second derivative of 350/3*j**3 - 1/6*j**6 + 0 - 250*j**2 - 115/4*j**4 + 7/2*j**5 - 30*j. Factor m(c).
-5*(c - 5)**2*(c - 2)**2
Factor -104*v - 16*v - 110 - 4*v**2 - 790.
-4*(v + 15)**2
Let r(q) = -2*q**4 - q**3 - 1. Let h(u) = 37*u**4 - 4*u**3 - 25*u**2 + 10*u + 6. Let f(x) = -h(x) - 6*r(x). Suppose f(a) = 0. What is a?
-1, 0, 2/5, 1
Suppose -6 = -4*a + a. Factor -w + 0*w**a + 7*w**2 - w - 4*w**2 + 5*w**3.
w*(w + 1)*(5*w - 2)
Determine j so that 19*j - 7*j + j**3 - 4*j**3 + 0*j**3 = 0.
-2, 0, 2
Let v(b) = -b**3 - 8*b**2 + 21*b + 3. Let u(g) = g**3 - 4*g**2 - g - 1. Let q(d) = -3*u(d) - v(d). What is z in q(z) = 0?
0, 1, 9
Let i(b) = 2*b**3 + 8*b**2 + 6*b - 4. Let u(o) = o**2 + o + 2. Let c(r) = -i(r) - 2*u(r). Factor c(m).
-2*m*(m + 1)*(m + 4)
Suppose 2*r = 3*v - 9, -v - 2*r + 16 = v. What is q in -8*q**3 + q**2 + 10*q**4 + q**2 - v*q**5 + q**5 + 0*q**5 = 0?
0, 1/2, 1
Let v(q) be the first derivative of -5/3*q**3 - 21 + 0*q + 0*q**2. Suppose v(h) = 0. What is h?
0
Let q = -978 - -980. Let h(x) be the third derivative of 2*x**q - 1/210*x**7 - 1/120*x**6 + 0*x**3 + 1/60*x**5 + 0*x + 0 + 1/24*x**4. Factor h(a).
-a*(a - 1)*(a + 1)**2
Let d = -45 - -43. Let i be ((-8)/90 + d/(-9))*6. Factor -2/5*k**3 - i*k**2 + 0 + 0*k.
-2*k**2*(k + 2)/5
Let n = 1357 - 61063/45. Let c(g) be the second derivative of 1/63*g**7 + 0*g**5 + 0 + 0*g**2 + 4*g + n*g**6 - 1/9*g**3 - 1/9*g**4. Factor c(p).
2*p*(p - 1)*(p + 1)**3/3
Let c = 2740/18347 - 17/2621. What is k in 2/7 - c*k**2 + 1/7*k = 0?
-1, 2
Let m = 16 + -5. Let p = m - 9. Suppose -7*x**2 + 54*x**4 + 51*x**3 - 12*x + 7*x**p + 15*x**5 = 0. Calculate x.
-2, -1, 0, 2/5
Find t such that 567*t - 1034*t + 85*t**4 - 934*t**2 - 555*t**3 + 1500 + 2669*t**2 - 2133*t - 5*t**5 = 0.
2, 3, 5
Let c(o) be the first derivative of -2/17*o + 4/17*o**2 + 2/17*o**4 - 2/85*o**5 - 4/17*o**3 + 2. Factor c(y).
-2*(y - 1)**4/17
Let p(v) be the second derivative of -v**7/1470 + v**5/420 + 4*v**2 + 18*v. Let l(a) be the first derivative of p(a). Suppose l(z) = 0. What is z?
-1, 0, 1
Factor 1/3*x**2 + 0 - 12*x.
x*(x - 36)/3
Solve -9/4*b - 3/8*b**2 - 1/8*b**5 + 0 + 19/8*b**3 + 3/8*b**4 = 0 for b.
-3, -1, 0, 1, 6
Let z(b) be the third derivative of 0*b + 0 + 0*b**3 - 1/120*b**6 - 1/30*b**5 + 1/6*b**4 + 1/420*b**7 - 10*b**2. Determine r so that z(r) = 0.
-2, 0, 2
Let p be 5698/15939 - 8/(-92). Solve 2/3*r**2 - 4/9 + 2/3*r - p*r**3 = 0 for r.
-1, 1/2, 2
Let t = -48 - -51. Let g(d) = -d. Let o(a) = -6*a**3 + 19*a**2 + 5*a - 3. Let s(y) = t*o(y) + 21*g(y). Factor s(w).
-3*(w - 3)*(2*w - 1)*(3*w + 1)
Determine d, gi