1. Factor g(s).
5*(s - 1)**2*(s + 1)/2
Let h = 7 + -14. Let f be h/(-3) - 4/(-6). Let 8*t**2 - 12*t - 7*t**4 + 8*t**f + 0*t**2 + 4*t**5 + 4 - 5*t**4 = 0. What is t?
-1, 1
Let m(o) be the first derivative of 2*o**3/9 + 4*o**2/3 - 89. Find v, given that m(v) = 0.
-4, 0
Let o(f) be the first derivative of 4*f**5/5 + 4*f**4 + 4*f**3 + 282. Suppose o(t) = 0. What is t?
-3, -1, 0
Let h = 24810 + -124041/5. Determine n so that h*n + 1/5*n**2 + 14/5 = 0.
-7, -2
Let k = 19 - 17. Let r(g) = -2*g**2 - g**2 + 1 + k*g**2. Let h(x) = x - 1. Let c(s) = -6*h(s) - 3*r(s). Determine f so that c(f) = 0.
1
Factor 40/7*t - 2/7*t**2 + 0.
-2*t*(t - 20)/7
Factor 19*i**2 + 3*i**2 + 9*i**5 - 59*i**3 + 1393*i - 1385*i + 20*i**4.
i*(i - 1)**2*(i + 4)*(9*i + 2)
Let c(a) = 3*a**3 + 361*a**2 - 22326*a + 453952. Let g(p) = 4*p**3 + 542*p**2 - 33489*p + 680929. Let i(j) = -7*c(j) + 5*g(j). Factor i(d).
-(d - 61)**3
Let h(o) be the second derivative of 18*o**7/7 + 34*o**6/5 - 89*o**5/5 + 5*o**4/3 + 4*o**3 + 349*o. What is k in h(k) = 0?
-3, -2/9, 0, 1/3, 1
Suppose 23/7*v - 1/7*v**3 + 10/7*v**2 + 12/7 = 0. Calculate v.
-1, 12
Find a such that 168*a**2 + 52 - 160*a + 12*a**3 + 4*a**4 - 55*a**3 - 21*a**3 = 0.
1, 13
Let a be ((-10)/(-6) - 2)/(532/216). Let i = a - -8/19. Factor 0*y**3 + i*y**4 - 6/7 + 16/7*y - 12/7*y**2.
2*(y - 1)**3*(y + 3)/7
Let v be ((102/(-4))/3)/((-7)/42). Determine z, given that -12*z**2 - v*z**4 + z**5 + 14*z**5 - 3*z**3 + 18*z**3 + 33*z**3 = 0.
0, 2/5, 1, 2
Let a be 266/40 + (-1)/4. Let v be 265/25 + -7 - 2. Factor -14/5*b**2 - v - a*b.
-2*(b + 2)*(7*b + 2)/5
Suppose 4*z - 6 - 24 = -2*f, 3*f - 5 = 2*z. Let v(w) be the third derivative of 0*w**3 + 0*w + 1/360*w**6 + 0 - 1/90*w**z + 1/72*w**4 + w**2. Solve v(l) = 0.
0, 1
Let x be (-2)/3*-6 + -2. Find p, given that 8*p**x + 24*p - 4*p**2 + 28 + 8 = 0.
-3
Let q(x) = -x**4 - 8*x**3 + 9*x**2 + 32*x + 13. Let p(v) = -6*v**4 - 40*v**3 + 46*v**2 + 160*v + 66. Let b(m) = -3*p(m) + 14*q(m). Factor b(a).
4*(a - 2)*(a + 1)**2*(a + 2)
What is k in 3*k + 10/3*k**2 + k**3 + 2/3 = 0?
-2, -1, -1/3
Let n(u) = 2*u**2 + 4*u + 2. Let s be n(-2). Let a = 154/15 - 48/5. Factor 4*l - 6 - a*l**s.
-2*(l - 3)**2/3
Let r(z) be the first derivative of -12/5*z - 13/5*z**2 - 23 - 4/15*z**3. Factor r(f).
-2*(f + 6)*(2*f + 1)/5
Factor -36*l**4 + 7*l**4 - 11*l**4 - 16*l**4 + 4*l**5 + 240*l**3 - 288*l**2.
4*l**2*(l - 6)**2*(l - 2)
Let w = 73 - 44. Let z = 20 - w. Let b(l) = 69*l**5 - 75*l**4 + 15*l**3 + 9. Let g(x) = 17*x**5 - 19*x**4 + 4*x**3 + 2. Let d(u) = z*g(u) + 2*b(u). Factor d(n).
-3*n**3*(n - 1)*(5*n - 2)
Let q be (1/((-1)/(-2)))/(-2)*0. Solve h + 3*h**2 - 3*h**2 + q*h**2 + h**2 - 2 = 0.
-2, 1
Let w(x) be the first derivative of x**8/168 - x**6/12 + x**4/3 + 15*x**2 + 25. Let a(t) be the second derivative of w(t). What is b in a(b) = 0?
-2, -1, 0, 1, 2
Suppose 14*b + 136 = 12*b. Let w = b - -275/4. Find f, given that -f - 1/4*f**2 - w = 0.
-3, -1
Let t(u) be the third derivative of u**5/100 + 57*u**4/40 + 2*u**2 - 656. Factor t(p).
3*p*(p + 57)/5
Let o(b) be the first derivative of -b**4/22 - 2*b**3/3 - 18*b**2/11 - 89. Factor o(v).
-2*v*(v + 2)*(v + 9)/11
Let b be (-8)/(-18) - (8 - 1160/144). Solve 3/2*j**2 + 0 + 0*j - b*j**3 = 0.
0, 3
Suppose j + m + 10 = 3*j, 0 = -j + 4*m + 12. Factor -j*c**4 + 1344*c**3 - 10*c**2 + 9*c**4 - 1349*c**3.
5*c**2*(c - 2)*(c + 1)
Let h(n) = -4*n**2 - 57*n - 48. Let w(r) = -r**2 - r + 1. Let p(b) = -h(b) + 5*w(b). Find l such that p(l) = 0.
-1, 53
Suppose -w - 4 = 3*i - 2, 4*w - 12 = -2*i. Suppose -w*l + 4 + 17 = q, 3*l = 2*q + 2. Factor -l*v**2 + 6*v - v - v + 8.
-4*(v - 2)*(v + 1)
Let d(c) = 82*c**2 - 78*c + 26. Let i(k) = -124*k**2 + 116*k - 40. Let y(l) = -8*d(l) - 5*i(l). Find f such that y(f) = 0.
2/9, 1
Determine q, given that 286/3*q + 46/3*q**2 + 242/3 + 2/3*q**3 = 0.
-11, -1
Let a(z) be the first derivative of 3*z**5/20 + 5*z**4/4 + 3*z**3/2 + 3*z**2 - 1. Let o(w) be the second derivative of a(w). Factor o(f).
3*(f + 3)*(3*f + 1)
Let h = 19 - 7. Suppose h*u - 4*u = 7*u. Suppose 13/2*l**2 + u - l - 27/2*l**3 - 7/2*l**5 + 23/2*l**4 = 0. What is l?
0, 2/7, 1
Suppose 11*u + 6*u**2 + 9*u - 14*u + u**3 - u**2 = 0. Calculate u.
-3, -2, 0
Let c(v) be the third derivative of -8*v**2 + 0*v + 1/735*v**7 - 1/105*v**5 + 1/21*v**3 + 0 + 0*v**6 + 0*v**4. Find y such that c(y) = 0.
-1, 1
Let h(f) be the first derivative of -f**3/12 + 49*f**2/2 - 2401*f + 396. Factor h(z).
-(z - 98)**2/4
Let y(r) = -300*r**3 - 3480*r**2 - 9290*r + 4285. Let j(i) = 25*i**3 + 290*i**2 + 774*i - 357. Let v(x) = -35*j(x) - 3*y(x). Determine o, given that v(o) = 0.
-6, 2/5
Factor -42/17*i**2 - 640/17 + 288/17*i + 2/17*i**3.
2*(i - 8)**2*(i - 5)/17
Let c(v) be the second derivative of 3/70*v**6 + 3/14*v**4 + 4*v + 0 - 3/14*v**2 + 0*v**3 + 6/35*v**5. Find q such that c(q) = 0.
-1, 1/3
Let w = 112/255 + -2/51. Let s = -4/259 - -538/1295. Solve 0*v**2 + 0 + s*v**3 - w*v = 0 for v.
-1, 0, 1
Suppose 4*l = 2*l - 0*l. Suppose l = -4*w + 11 + 1. Find j, given that 0 + 1/4*j + 1/2*j**2 + 1/4*j**w = 0.
-1, 0
Let h be (43/(-10)*-5)/(2/4). Factor 3 + h*l + 39*l - l**2 - 75*l + 5.
-(l - 8)*(l + 1)
Let u(f) be the first derivative of f**7/5880 - f**3 + 4. Let t(w) be the third derivative of u(w). Find d, given that t(d) = 0.
0
Suppose 4*u = 18*l - 14*l + 8, -2*u + 3*l + 4 = 0. Let -12/7*q**4 - 2/7*q**5 - 2/7*q**3 + 0 + 48/7*q**u - 32/7*q = 0. What is q?
-4, 0, 1
Let o be (-1094)/(-30) + 12/(-15). Let m = o - 35. Find c, given that 1/3*c**5 + 0 + 0*c + 5/3*c**3 - m*c**2 - 4/3*c**4 = 0.
0, 1, 2
Let d be 11*13/(-2860)*(-4 + 0). Suppose 1/5*c**2 + 0 + 1/10*c**5 - 1/10*c - d*c**4 + 0*c**3 = 0. What is c?
-1, 0, 1
Let t be 21/10*(-44)/(-539)*7. Factor -1/5*c**5 + 16/5*c**2 - 14/5*c**3 - 9/5*c + t*c**4 + 2/5.
-(c - 2)*(c - 1)**4/5
Let j(w) be the third derivative of w**5/240 + 3*w**4/2 + 216*w**3 - 147*w**2. Determine u so that j(u) = 0.
-72
Let v(z) be the first derivative of -z**6/30 - 4*z**5/25 - z**4/4 - 2*z**3/15 - 59. What is x in v(x) = 0?
-2, -1, 0
Factor -2/15*p**2 + 376/15*p - 17672/15.
-2*(p - 94)**2/15
Let y(b) = b**2 - 2*b - 3. Let s be y(-2). Factor -8*f - 10*f**2 + 15*f - 2*f + 10*f**4 - s*f**5.
-5*f*(f - 1)**3*(f + 1)
Let o be 1/2*6/15*15. Factor 3*r + 1/4*r**o - 1/4*r**5 - 3/4*r**4 + 1 + 11/4*r**2.
-(r - 2)*(r + 1)**3*(r + 2)/4
Suppose -154/9*q**3 - 88/9*q + 64/9*q**4 + 172/9*q**2 + 16/9 - 10/9*q**5 = 0. What is q?
2/5, 1, 2
Solve 0 - 11/3*i**2 + 4/3*i**3 + 1/3*i**4 + 2*i = 0.
-6, 0, 1
Let g(i) be the first derivative of -i**5/5 - 17*i**4/14 - 44*i**3/21 - i**2 + 3*i/7 + 122. Suppose g(x) = 0. What is x?
-3, -1, 1/7
Factor 16/11*q**2 - 2/11*q**3 + 40/11*q + 0.
-2*q*(q - 10)*(q + 2)/11
Let q(m) be the third derivative of 0*m**3 - 1/36*m**5 + 0*m + 19*m**2 + 5/72*m**4 + 0. Factor q(a).
-5*a*(a - 1)/3
Let n(h) = -7*h - 5. Let r be n(-2). Let 53*q + 0 + 0 - 56*q - 3*q**4 - r*q**3 - 9*q**2 = 0. What is q?
-1, 0
Suppose 2*z - 22 = -z + 5*d, -3*d - 2 = z. Suppose 27*a - 29*a = -z. Factor -2*p + 2 + 1/2*p**a.
(p - 2)**2/2
Let n(o) = 16*o**2 + 67*o + 71. Let g(t) = 9*t**2 + 33*t + 36. Let i(l) = -5*g(l) + 3*n(l). Factor i(u).
3*(u + 1)*(u + 11)
Let v be 12/21*16240/435. Factor v*n**3 + 160/3*n**2 + 68/3*n + 8/3.
4*(n + 2)*(4*n + 1)**2/3
Let h be ((-20)/(-16))/((-1)/8). Let k = 18 + h. Factor -17/2*j**2 - 5/2*j**3 - k*j - 2.
-(j + 1)*(j + 2)*(5*j + 2)/2
Suppose 14 = -19*s + 52. Let c(q) be the second derivative of 0*q**3 - 1/6*q**4 + 0 + 1/30*q**6 - 1/20*q**5 + 0*q**s - 8*q. Solve c(v) = 0 for v.
-1, 0, 2
Let k(h) be the second derivative of h**4/48 - 49*h**3/3 + 4802*h**2 + 502*h. Factor k(c).
(c - 196)**2/4
Let y = 116 + -77. Suppose y = 16*f + 7. Factor a + 3/2 - 1/2*a**f.
-(a - 3)*(a + 1)/2
Let o = -260 + 265. Let a(v) be the second derivative of 0*v**2 + 1/50*v**o + 4*v - 1/15*v**3 + 0 + 1/30*v**4 - 1/75*v**6. Determine k so that a(k) = 0.
-1, 0, 1
Let z(x) = x**3 + 4*x**2 + 2*x + 1. Let d be z(-2). Factor -3*h**2 + h + 6*h**2 + d*h.
3*h*(h + 2)
Let b(d) be the third derivative of -d**8/5880 - 5*d**3/3 - 18*d**2. Let w(c) be the first derivative of b(c). Factor w(k).
-2*k**4/7
Let f(d) = d + 33. Let a be f(-31). Suppose 12 = n - a*j, 0 = 2*n + 2*j + 2 + 4. Find m such that -2/3*m**n - 50/3 - 20/3*m = 0.
-5
Suppose -5*f = -4*h - 68, 3*h