of -b**8/784 + b**7/49 - 9*b**6/70 + 27*b**5/70 - 27*b**4/56 - 155*b**2. Determine t so that d(t) = 0.
0, 1, 3
Solve -10*m**2 + 0*m**3 + 24 - 3*m**2 - 7*m**2 + 4*m**2 + 4*m**3 + 4*m = 0.
-1, 2, 3
Let l(d) be the third derivative of d**7/1680 - d**6/160 + 11*d**5/480 - d**4/32 + 108*d**2 + d. Suppose l(p) = 0. What is p?
0, 1, 2, 3
Let v = -9 + 13. Suppose 0 = -v*y - y. Factor 2*c**2 + y*c + 2*c - 2*c**4 - 2*c**3 + 0*c**3.
-2*c*(c - 1)*(c + 1)**2
Let k be (-8)/(-48) - 1330/(-12). Factor 56*s**4 + 51*s**4 - 2*s**2 - k*s**4 + 6*s**2.
-4*s**2*(s - 1)*(s + 1)
Solve -156 + 63 - 2*w**2 - w**2 + 174*w - 78 = 0 for w.
1, 57
Suppose -2*w = -4*s - 6, 0 = 2*s + 6. Let z(t) = 36*t**2 - 44*t + 24. Let p(o) = 7*o**2 - 9*o + 5. Let u(x) = w*z(x) + 16*p(x). What is k in u(k) = 0?
1, 2
Let o = 833 - 7493/9. Let y(u) be the first derivative of -o*u**2 - 1/27*u**3 - 16/9*u - 1. Solve y(p) = 0 for p.
-4
Let k(u) be the second derivative of u**4/16 - 19*u**3/8 - 15*u**2/2 + 136*u. Factor k(c).
3*(c - 20)*(c + 1)/4
Factor 0*m**2 + 0 + 0*m + 86/3*m**3 + 2/3*m**4.
2*m**3*(m + 43)/3
Suppose 154*g + 2/15*g**3 - 490/3 + 46/5*g**2 = 0. Calculate g.
-35, 1
Let q(k) be the second derivative of k**4/24 - 21*k**3/2 + 3969*k**2/4 - 27*k + 4. Factor q(t).
(t - 63)**2/2
Let 2*p - 123*p**2 + 119*p**2 + 3*p**4 - 5*p**5 + p**4 + 3*p**5 = 0. What is p?
-1, 0, 1
Let d(w) be the first derivative of 9 + 0*w**2 - 5/4*w**4 + 0*w + 10/3*w**3. Factor d(m).
-5*m**2*(m - 2)
Suppose 36*t**3 - 99*t**2 + 3*t**4 - 78*t**3 - 81*t + 27*t**3 = 0. Calculate t.
-3, -1, 0, 9
Let g(x) be the first derivative of -x**4/6 + 11*x**3/3 - 10*x**2 - 32*x + 3. Let c(k) be the first derivative of g(k). Factor c(i).
-2*(i - 10)*(i - 1)
Suppose -2*i + 2*o - 5*o - 8 = 0, 0 = 4*i + 3*o + 4. Let b be 16/(-180)*(-5)/4*i. Suppose 0*k + b*k**2 - 2/9 = 0. What is k?
-1, 1
Let j be (-46)/(-8) - 8/(-32). Let g be (3 - (-122)/(-42))*j/2. Suppose 4/7 - 6/7*b**2 + g*b**3 + 2/7*b**4 - 2/7*b = 0. Calculate b.
-2, -1, 1
Let g(d) be the first derivative of -d**3/4 - 33*d**2/8 - 27*d/2 + 53. Solve g(i) = 0.
-9, -2
Let w(k) = 9*k**2 - 3*k**2 + 5*k - 2*k**2 + 3. Let v(o) = -12*o**2 - 16*o - 8. Let g(l) = 3*v(l) + 8*w(l). Factor g(h).
-4*h*(h + 2)
What is w in w**2 - 108 - 38*w + 220 + 249 = 0?
19
Let r(q) = -q**2 + 25*q - 55. Let b(a) = -26*a + 58. Let z(g) = -3*b(g) - 2*r(g). Factor z(f).
2*(f - 2)*(f + 16)
Let c(i) be the third derivative of -i**8/1680 + i**6/200 - i**5/150 + 2*i**2 - 3*i. Find w such that c(w) = 0.
-2, 0, 1
Suppose -62 = -5*v + 1343. Let r = v - 835/3. Factor 2/3*h**4 + 0 + 8/3*h**2 + 0*h - r*h**3.
2*h**2*(h - 2)**2/3
Factor 0*x + 7/4*x**2 - 1/4*x**4 + 0 - 3/2*x**3.
-x**2*(x - 1)*(x + 7)/4
Let d(v) be the third derivative of v**8/112 - v**7/7 - 7*v**6/20 + 8*v**5/5 + 13*v**4/8 - 11*v**3 + 139*v**2. What is j in d(j) = 0?
-2, -1, 1, 11
Let h(r) = 15*r**2 - 13*r - 5. Let p(s) = 46*s**2 - 41*s - 13. Let f(z) = -8*h(z) + 3*p(z). Find l such that f(l) = 0.
1/18, 1
Suppose -3*a - 5*w - 12 = 0, -5*a + 0*w = 2*w + 1. Let z be (a/(-3))/(2/(-12)). Determine k so that 4/13*k + 2/13*k**z + 2/13 = 0.
-1
Let z(s) be the third derivative of s**6/40 - 13*s**5/30 + 2*s**4/3 + 84*s**2. Suppose z(q) = 0. Calculate q.
0, 2/3, 8
Let g(x) be the second derivative of 2*x**6/15 + x**5/5 - 3*x**4 + 22*x**3/3 - 8*x**2 + 37*x. Solve g(y) = 0 for y.
-4, 1
Let d(o) be the first derivative of 3*o**5/25 + 63*o**4/20 - 26*o**3/5 - 126*o**2/5 + 264*o/5 - 227. Solve d(a) = 0 for a.
-22, -2, 1, 2
Let j(d) = 2*d**3 + 5*d**2 + d - 5. Suppose 0*v - 3 = -v. Let z(h) = 2*h**3 + 6*h**2 + 2*h - 6. Suppose 0*n + 2*n = -8. Let x(u) = n*j(u) + v*z(u). Factor x(c).
-2*(c - 1)*(c + 1)**2
Let w(f) = -3*f**2 - 76*f. Let z(o) = 21*o**2 + 534*o. Let b(r) = -15*w(r) - 2*z(r). Solve b(s) = 0 for s.
-24, 0
Let x = 5769 - 5766. Factor 5/3*d**x + 0 + 0*d + 5/3*d**2.
5*d**2*(d + 1)/3
Let j be 544/(-40) + 2/(-5). Let n = j + 14. Factor -7*g**2 + 3*g**2 + 0*g + n*g + 4.
-4*(g - 1)*(g + 1)
Let m(j) = -j**2 - j - 1. Let l(v) = -v + 14 + 4*v**2 - 2 + 11*v. Let u(o) = l(o) + 6*m(o). Factor u(r).
-2*(r - 3)*(r + 1)
Let a(k) be the second derivative of -1/114*k**4 - 9*k + 0*k**2 + 2/57*k**3 + 0. Factor a(j).
-2*j*(j - 2)/19
Let m(o) = 5*o**2 - 12*o + 1. Let w(p) = -p**2 + 3*p. Let g = 23 + -5. Let z(q) = g*w(q) + 4*m(q). Find a, given that z(a) = 0.
-2, -1
Factor 3*l**3 + 6*l - 12*l**2 + 2*l - 50*l - 3*l**2.
3*l*(l - 7)*(l + 2)
Let u be 4/501*((-35)/28)/(-5). Let a = 6005/3507 + u. Let -a*l - 2/7*l**2 - 18/7 = 0. Calculate l.
-3
Let d be (-2)/(-15)*(14 - 1395/105). Let m(x) be the first derivative of -32/7*x + 8/7*x**2 - 11 - d*x**3. Factor m(b).
-2*(b - 4)**2/7
Let k(w) be the third derivative of -w**8/448 - w**7/35 - 9*w**6/80 - w**5/5 - 5*w**4/32 + 217*w**2. Determine f, given that k(f) = 0.
-5, -1, 0
Let d be 3/((-27)/(-70)) - (-36)/162. Factor 3*o**3 - 4*o**2 + 2 + 8*o**2 + d*o + 8*o**2 + 5*o**3 + 2*o**4.
2*(o + 1)**4
Let z be (-160)/16 - (-8 + -4). Factor 0*x + 0 + 1/3*x**4 + 0*x**z - 1/3*x**3.
x**3*(x - 1)/3
Let g(o) be the first derivative of -2*o**5/15 - o**4/6 + 4*o**3/9 + 35. Solve g(k) = 0 for k.
-2, 0, 1
Let b(k) be the second derivative of -12*k + 1/6*k**4 + 7*k**2 + 0 + 8/3*k**3. Factor b(i).
2*(i + 1)*(i + 7)
Let t = -81 - -83. Factor 24*k**t - 20*k**2 + 0*k**4 - k**4.
-k**2*(k - 2)*(k + 2)
Let g(q) be the second derivative of -1/6*q**6 + 0*q**3 + 0 + 0*q**2 + 3/4*q**5 - 5/6*q**4 - 3*q. Factor g(w).
-5*w**2*(w - 2)*(w - 1)
Let k(x) be the first derivative of 0*x + x**2 - 15 + 2/3*x**3. Solve k(d) = 0.
-1, 0
Let p(r) = 2*r**2 + r - 19. Let m be p(3). Let k be 2/8 - (-2)/(-8). Factor k - 1/5*d**4 + 0*d + 1/5*d**m - 1/5*d**3 + 1/5*d**5.
d**2*(d - 1)**2*(d + 1)/5
Let l be -1*2 - (-3 + 1). Suppose 13*b = 9*b. Factor m**5 - m**3 + b*m**4 + l*m**4 + 2*m**2 - 2*m**4.
m**2*(m - 2)*(m - 1)*(m + 1)
Let x be ((-60)/(-32))/(3 - 15/10). Let v(g) be the first derivative of -5/4*g**2 - 1/4*g**5 + x*g + 0*g**3 + 4 + 5/8*g**4. What is s in v(s) = 0?
-1, 1
Let i = 6 + -4. Let a = i - 0. Factor 12*q**4 - 5*q + 6*q**a - 27*q**3 + 5*q + 0*q**2.
3*q**2*(q - 2)*(4*q - 1)
Let h be 2/5*10/(-8)*-4. Suppose 4*k = 5*w - 15, h*k = -2*w - 1 + 7. Factor 0*v**2 + 0*v + 2/11*v**4 + 2/11*v**3 + k.
2*v**3*(v + 1)/11
Let l be 198/42 + 4/14. Let h(s) = s**3 - 4*s**2 - 4*s - 1. Let q be h(l). Let -4*r - 4*r**2 + 4*r + q - 4*r + 2*r**3 + 2*r**3 = 0. What is r?
-1, 1
Suppose -q - 2*q + 12 = 0. Let u be ((-6)/60)/(2/q)*-1. Factor u*j**5 - 3/5*j**3 + 4/5*j - 2/5*j**4 + 0 + 4/5*j**2.
j*(j - 2)**2*(j + 1)**2/5
Let p(t) = 55*t**2 - 270*t - 3675. Let i(q) = 2*q**2 - 1. Let v(x) = 30*i(x) - p(x). Suppose v(r) = 0. What is r?
-27
Suppose g - 6*g - 3*p = 2, 0 = 3*g + 4*p + 10. Suppose 0 = 66*l - 64*l. Factor 0 + l*t + 1/4*t**3 + 0*t**g.
t**3/4
Let n = 47 + -43. Factor -2*y**5 - 2*y**5 + 3 - 2*y**2 + 10*y**2 - 7 + 8*y**3 - 4*y - n*y**4.
-4*(y - 1)**2*(y + 1)**3
Factor 68*l - 68*l + 16*l**4 - 10*l**4 - 2*l**3 - 4*l**4.
2*l**3*(l - 1)
Let n(z) be the second derivative of 2*z**7/21 + 2*z**6/15 - 6*z**5/5 - 4*z**4/3 + 16*z**3/3 + 40*z + 3. Solve n(c) = 0 for c.
-2, 0, 1, 2
What is y in -198 + 771*y**2 - 105*y + 765*y**2 - 1539*y**2 = 0?
-33, -2
Let z(x) be the second derivative of x**4/6 + 2*x**3/15 - x - 161. Factor z(n).
2*n*(5*n + 2)/5
Suppose 15/4 + 27/2*w**2 - 6*w**3 + 3/4*w**4 - 12*w = 0. Calculate w.
1, 5
Let o be ((-8)/44)/(1/(-2)). Let y be -1*(5/(-10))/(8/48). Solve -14/11*j**4 - 2*j**2 + 32/11*j**y + o*j + 0 = 0.
0, 2/7, 1
What is k in 44*k - 741 + 63 + 2 + 8*k - k**2 = 0?
26
Let p be (6/10)/(11/55). Determine f so that -34/13*f**2 + 42/13*f + 6/13*f**p + 18/13 = 0.
-1/3, 3
Let p(t) be the first derivative of 4*t**5/5 + 29*t**4 + 224. Factor p(k).
4*k**3*(k + 29)
Let f(i) be the second derivative of 0 - 1/3*i**4 - 10/3*i**3 + 18*i - 8*i**2. Factor f(z).
-4*(z + 1)*(z + 4)
Suppose -2*t + 20 = 3*n - 5*n, 4*t = -3*n + 33. Suppose u - 9*u**3 - 3*u**4 - t*u**2 + 6*u - 10*u = 0. What is u?
-1, 0
Let c = -21186 - -21188. Factor 80*x + 5/3*x**3 + 320/3 + 20*x**c.
5*(x + 4)**3/3
Determine t so that -1/3*t - 7/3*t**2 + 2 + 1/3*t**4 + 1/3*t**3 = 0.
-3, -1, 1, 2
Let r(h) be the third derivative of h**6/90 - 2*h**5/45 - 29*h**4/18 + 20*h**3/3 + 630*h**2. Factor r(y).
4*(y - 6)*(y - 1)*(y + 5)/3
Let y(g) = g**2 