32*v**2/21 + 88. Determine d so that q(d) = 0.
-4, -1, 0, 8
Let x(f) = -16*f**2 + 20*f - 52. Let w(n) = -6*n**2 - n + 1. Let i(r) = r**2. Let k(h) = 5*i(h) + w(h). Let o(d) = 12*k(d) - x(d). Factor o(q).
4*(q - 4)**2
Let i = -48 - -45. Let u be (-8)/(-6) - (51/18 + i). Determine o so that 6*o + 9/2 + u*o**2 = 0.
-3, -1
Let t(v) = -19*v - 342. Let d be t(-18). Determine m, given that 1/4*m**2 + d - 1/4*m = 0.
0, 1
Let z be -5*(-2 + 32/20). Let n = 5 + -2. Let -3 - 2*t**z - 7*t - n*t**3 + t**2 + 10*t + 4*t**2 = 0. Calculate t.
-1, 1
Let n(r) be the second derivative of r**6/180 - r**5/6 + 25*r**4/18 + 394*r. Factor n(s).
s**2*(s - 10)**2/6
Factor 10648 + 6603*i + 990*i**2 + 2*i**4 + 74*i**3 - 1035*i - 2*i.
2*(i + 4)*(i + 11)**3
Let v(p) be the first derivative of -p**7/14 - p**6/10 + 3*p**5/4 - 3*p**4/4 + 9*p - 28. Let s(b) be the first derivative of v(b). Find a, given that s(a) = 0.
-3, 0, 1
Let w(g) be the first derivative of -3*g**5/5 + 6*g**4 + 33*g**3 + 6*g**2 - 132*g + 5. Factor w(k).
-3*(k - 11)*(k - 1)*(k + 2)**2
Let p = 19 - 113/6. Let c(v) be the second derivative of 1/10*v**5 + 0 - 3*v - v**2 - 1/3*v**3 + p*v**4. What is t in c(t) = 0?
-1, 1
Let x(f) be the second derivative of f**7/21 + f**6/5 - 9*f**5/5 - 16*f**4/3 + 32*f**3 - 2*f + 58. Let x(m) = 0. Calculate m.
-4, 0, 2, 3
Let w(q) be the third derivative of 0*q**4 - 1/180*q**5 + 0 + 0*q + 16*q**2 + 0*q**3 - 1/1008*q**8 - 1/210*q**7 - 1/120*q**6. Factor w(y).
-y**2*(y + 1)**3/3
Suppose 4*i + 16 = 8*i. Suppose -3*w = -i*w + 3. Factor 0*d - 2/3*d**5 - 2/3*d**4 + 2/3*d**2 + 0 + 2/3*d**w.
-2*d**2*(d - 1)*(d + 1)**2/3
Let -3/7*a**2 + 54/7*a - 51/7 = 0. Calculate a.
1, 17
Let a(h) = -6*h**2 - 17*h - 1. Let p(y) = -y**2 - y - 1. Let z be ((-4)/10)/(10/(-50)). Let u(l) = z*a(l) + 6*p(l). Find b, given that u(b) = 0.
-2, -2/9
Let m(o) be the first derivative of 0*o**2 + 0*o**5 - 1/3*o**3 + 1/1800*o**6 + 0*o**4 + 0*o - 4. Let u(x) be the third derivative of m(x). Factor u(r).
r**2/5
Let i be (7 - 14) + (-205)/(-25) + (-6)/(-20). Factor 3/2*w + i - 3*w**2.
-3*(w - 1)*(2*w + 1)/2
Let z be 2*(32/17 + 28/238). Factor 37*i + 19 + 52*i**2 - 3 + 24*i**3 + z*i**4 + 11*i.
4*(i + 1)**2*(i + 2)**2
Suppose 6 = v + 4. Let w(y) = -y**2 - y - 1. Let h(f) = -12*f**3 - 9*f - 12. Let b(s) = v*h(s) - 22*w(s). What is d in b(d) = 0?
-1/3, 1/4, 1
Let i(w) be the second derivative of -w**7/280 - w**6/60 - w**5/40 - 19*w**3/6 - 12*w. Let r(y) be the second derivative of i(y). Factor r(t).
-3*t*(t + 1)**2
Let t = 185 - 177. Let b(p) = -2*p**2 + 20*p - 27. Let s be b(t). Factor 4/11*x**3 + 0 + 0*x**2 - 14/11*x**s + 0*x - 10/11*x**4.
-2*x**3*(x + 1)*(7*x - 2)/11
Let p(a) be the first derivative of -1/6*a**4 + 1/9*a**6 + 22 - 14/9*a**3 + 2/5*a**5 + 8/3*a + 0*a**2. Solve p(g) = 0.
-2, -1, 1
Let f(y) be the second derivative of -y**6/40 - 21*y**5/80 - 3*y**4/8 - 13*y - 4. Suppose f(j) = 0. Calculate j.
-6, -1, 0
Factor -8/19*n + 2/19*n**2 - 42/19.
2*(n - 7)*(n + 3)/19
Let m = -9152031/9545 + 57/1909. Let v = m + 962. Suppose 8/5 - 4*h + v*h**2 - 4/5*h**3 = 0. Calculate h.
1, 2
What is t in t**3 + 6*t + 7*t - 107*t**2 + 8*t + 6*t - 5*t**3 = 0?
-27, 0, 1/4
Let h = -12037/15922 + -3/419. Let v = -5/19 - h. Solve v + 1/2*p**2 - p = 0.
1
Let t be 156/(-8)*(-12)/6. Suppose -2*x = g, 4*g - t = -0*x + 5*x. Factor 3/2*d**2 + g + 6*d.
3*(d + 2)**2/2
Let y(w) be the first derivative of -10/11*w + 24 + 6/11*w**2 - 2/33*w**3. Factor y(z).
-2*(z - 5)*(z - 1)/11
Let o(p) be the first derivative of p**3/6 - 3*p**2/2 + 5*p/2 - 19. What is h in o(h) = 0?
1, 5
Let c(d) = -d**2 - 20*d - 8. Let k be c(-12). Let l be (6/k)/(12/32). Suppose -l*b**2 - 8/11 + 8/11*b = 0. Calculate b.
2
Let k = 16/21 + -5/7. Let i(s) be the second derivative of 1/21*s**6 + 1/35*s**5 + 0*s**3 + 0*s**4 + 0*s**2 + 0 - 5*s - k*s**7. Determine z so that i(z) = 0.
-2/7, 0, 1
Let m(o) be the second derivative of 9*o**5/35 - 524*o**4/21 + 15370*o**3/21 - 3364*o**2/7 - 404*o. Determine s, given that m(s) = 0.
2/9, 29
Factor -24234722 + 44*a**4 - 46*a**4 - 209*a**3 - 41772*a**2 + 1643032*a + 681*a**3.
-2*(a - 59)**4
Suppose 1590 + 60 = 10*z. Let t = z - 161. Factor 3/7*v + 6/7*v**2 - 6/7*v**3 - 3/7 - 3/7*v**t + 3/7*v**5.
3*(v - 1)**3*(v + 1)**2/7
Let j(c) be the second derivative of -3*c**5/140 + c**4/28 + 5*c**3/7 + 12*c**2/7 + 37*c. Factor j(x).
-3*(x - 4)*(x + 1)*(x + 2)/7
Let l(z) be the first derivative of 0*z + 1/1620*z**6 + 1/540*z**5 + 0*z**4 - 1 + 0*z**2 + z**3. Let r(b) be the third derivative of l(b). Factor r(h).
2*h*(h + 1)/9
Let r(a) = -11*a**3 - 51*a**2 + 68*a - 6. Let l(m) = 20*m**3 + 100*m**2 - 137*m + 11. Let q(y) = 6*l(y) + 11*r(y). Solve q(x) = 0 for x.
0, 2, 37
Suppose -v + 23 = q - 2*q, 5*v - 75 = -3*q. Suppose 5*j = 3*j + v. Factor -1 + 8*b**4 - 63*b**2 + 75*b**3 + 7 - 35*b**4 + j*b.
-3*(b - 1)**3*(9*b + 2)
Let o(d) be the first derivative of -46*d**3/3 - 25*d**2 - 4*d - 17. Factor o(k).
-2*(k + 1)*(23*k + 2)
Suppose 0 = -2*a - i + 6, -377*i + 376*i = 2. Determine h, given that 22/5*h + 2/5*h**a - 8/5 + 2/5*h**3 - 18/5*h**2 = 0.
-4, 1
Let w be (-40068)/(-2484) + 39/(-3). Factor 24/23*s - 2/23*s**2 - w.
-2*(s - 6)**2/23
Factor -3*z**2 + 3*z**4 + 35/4*z**3 - 9*z + 1/4*z**5 + 0.
z*(z - 1)*(z + 1)*(z + 6)**2/4
Suppose -161*d**4 + 145*d**3 + 37*d**3 + 20 + 471*d**2 + 120*d + 19*d - 36*d**5 + 45*d = 0. What is d?
-5, -1, -1/4, -2/9, 2
Let w = -42 - -108. Let s = -329/5 + w. Factor -1/5*v**3 + s*v**2 - 1/5 + 1/5*v.
-(v - 1)**2*(v + 1)/5
Find q such that -591*q**3 + 556*q**3 + 37 - 200*q**2 - 115*q + 13 = 0.
-5, -1, 2/7
Let g(m) be the second derivative of m**7/42 - 3*m**5/10 - 2*m**4/3 - m**3/2 + 2*m. Factor g(z).
z*(z - 3)*(z + 1)**3
Let s(b) = b**2 - 18*b + 42. Let y be s(18). Let z be 1 - (2/20)/((-3)/y). Find l, given that 0 + 0*l - l**5 - 9/5*l**3 + 2/5*l**2 + z*l**4 = 0.
0, 2/5, 1
Let s(o) be the first derivative of -o**3/9 + 67*o**2/6 + 518. Let s(r) = 0. What is r?
0, 67
Let r(z) be the third derivative of z**6/210 + 2*z**5/15 + 7*z**4/6 - 3*z**2 - 150*z. Factor r(a).
4*a*(a + 7)**2/7
Let d(r) be the second derivative of 9*r**5/20 + 29*r**4/12 + 4*r**3 + 2*r**2 + 2*r - 68. Factor d(g).
(g + 1)*(g + 2)*(9*g + 2)
Suppose -4*p = -5*p + 2. Suppose -w - 4*o + 14 = 0, 0 = -w - p*w + 5*o - 9. Factor -2*q - 1 - 10*q**w - 9*q**2 + 18*q**2.
-(q + 1)**2
Find n such that -69/2*n**2 + 3/4*n - 3/4*n**3 + 69/2 = 0.
-46, -1, 1
Suppose 2*c - 19 = -3*q, -22 = -4*q + 3*c - 4*c. Suppose -3*w + 126*w**4 + 0*w**q - 132*w**4 + 6*w**2 + 3*w**5 = 0. Calculate w.
-1, 0, 1
Factor -8/3*x - 4/3*x**3 + 0 + 2/3*x**4 - 14/3*x**2.
2*x*(x - 4)*(x + 1)**2/3
Factor 62*o - 36*o - 34*o - 12 - o**2.
-(o + 2)*(o + 6)
Let y(w) be the second derivative of -w**6/10 - 3*w**5/4 - 9*w**4/4 - 7*w**3/2 - 3*w**2 - 2*w + 72. Determine g, given that y(g) = 0.
-2, -1
Factor 2/3*n - 1/6*n**2 + 5/6.
-(n - 5)*(n + 1)/6
Let h(b) be the third derivative of b**8/504 - 4*b**7/105 + 14*b**6/45 - 64*b**5/45 + 4*b**4 - 64*b**3/9 + 2*b**2 + 46*b. Factor h(r).
2*(r - 4)*(r - 2)**4/3
Let s(l) be the first derivative of l**6/2 - 27*l**5/5 + 21*l**4/2 + 24*l**3 - 280. Factor s(u).
3*u**2*(u - 6)*(u - 4)*(u + 1)
Let a(z) be the second derivative of 14/9*z**4 - 24*z - 8/15*z**6 + 4/15*z**5 + 2/3*z**3 - 4/3*z**2 - 2/9*z**7 + 0. Determine v so that a(v) = 0.
-1, 2/7, 1
Determine s, given that 125/2*s + 15625/4 + 1/4*s**2 = 0.
-125
Let v(i) be the second derivative of i**6/210 - 3*i**5/70 + 2*i**4/21 + i**3/7 - 9*i**2/14 + 13*i. Factor v(c).
(c - 3)**2*(c - 1)*(c + 1)/7
Let r(j) = -4*j**2 + 9*j. Let q(a) be the third derivative of -a**5/6 + 11*a**4/12 - 8*a**2. Let b(w) = -5*q(w) + 12*r(w). Let b(f) = 0. Calculate f.
0, 1
Factor 47*x + 5 - 2 + 1 + 961*x**2 + 77*x.
(31*x + 2)**2
Let z(s) = s**2 + s - 1. Let g(j) = 25*j**2 - 131*j + 44. Let n(w) = -24*w**2 + 132*w - 45. Let a(m) = 3*g(m) + 4*n(m). Let p(o) = -a(o) - 6*z(o). Factor p(l).
3*(l - 9)*(5*l - 2)
Let k be (-123)/189 - 9/(-21) - 612/(-2754). Determine z, given that 4/9*z + 10/9*z**2 + 2/9*z**4 + 8/9*z**3 + k = 0.
-2, -1, 0
Let c(o) be the first derivative of -o**3/6 - 3*o**2/4 - o - 27. Solve c(v) = 0 for v.
-2, -1
Let j(h) be the second derivative of -h**6/15 + h**4/2 + 2*h**3/3 + 197*h. Let j(t) = 0. What is t?
-1, 0, 2
Determine x, given that -14/3*x**