g. Determine k so that w(k) = 0.
-4, -2/3, 0, 1/2
What is b in -461*b**2 + 210*b**2 + 215*b**2 - 3*b**3 + 6*b**3 = 0?
0, 12
Factor 5*b**3 + 12*b**2 - 4*b**2 + 4*b**3 - 4*b**3 - 7*b**3.
-2*b**2*(b - 4)
Let o(f) = 4*f**3 + 8*f**2 - 18*f - 3. Let l(v) = -v**3 + v**2 + 2*v + 1. Let t(n) = -6*l(n) - 2*o(n). Factor t(k).
-2*k*(k - 1)*(k + 12)
Let b(d) be the first derivative of -3*d**4/4 - 26*d**3/3 - 37*d**2/2 - 14*d - 17. Factor b(h).
-(h + 1)*(h + 7)*(3*h + 2)
Let j(t) be the second derivative of -t**8/448 - 3*t**7/280 - 3*t**6/160 - t**5/80 + 5*t**2 + 10*t. Let p(q) be the first derivative of j(q). Factor p(a).
-3*a**2*(a + 1)**3/4
Suppose -3*t + 11 = -3*g + 5*g, 0 = 5*t + 3*g - 18. Determine m so that 0 - 1/2*m**5 - 7/6*m**4 + 0*m**t + 0*m + 2/3*m**2 = 0.
-2, -1, 0, 2/3
Let y be (2 - (-20)/(-15))/((-4)/(-6)). Let n be (-6)/((y/(-16))/((-7)/(-210))). Suppose 8/5*m + 2*m**3 + 0 - n*m**2 - 2/5*m**4 = 0. Calculate m.
0, 1, 2
Let g(p) be the first derivative of -2*p**3/9 - 5*p**2/4 - 7*p/3 - 552. What is a in g(a) = 0?
-2, -7/4
Let f be -62*(-2)/8 + -15. Factor f*o + 1/10 + 2/5*o**2.
(o + 1)*(4*o + 1)/10
Let h be 1/2 + 398/(-312). Let k = -1/39 - h. Factor 3/2*g + k*g**2 - 9/4.
3*(g - 1)*(g + 3)/4
Suppose -798 - 291 = -9*y. Let c = y + -1571/13. Solve c*b + 0 - 2/13*b**2 = 0.
0, 1
Let w(d) be the first derivative of 0*d**2 - 3*d - 9/5*d**5 - 3/2*d**4 + 4*d**3 + d**6 - 9. Factor w(t).
3*(t - 1)**3*(t + 1)*(2*t + 1)
Let y(u) = -42*u**2 + 116*u + 32. Let a be y(3). Factor -51*f**a - 36/7 - 240/7*f + 21*f**3.
3*(f - 3)*(7*f + 2)**2/7
Suppose -63*u - 528 = -298*u - 58. Factor 4/3*y + 1/3*y**u + 0.
y*(y + 4)/3
Let l(i) = i**3 + 5*i**2 - 7*i + 4. Let d be l(-6). Let j = -44 + 49. Factor j - 5 + 5*a**3 - d*a**2 - 6*a + 11*a.
5*a*(a - 1)**2
Let u(a) be the second derivative of 2*a**2 + a**4 + 0 - 3*a + 8/3*a**3. Factor u(d).
4*(d + 1)*(3*d + 1)
Let f(i) be the first derivative of i**6/16 - 6*i**5/5 + 219*i**4/32 - 9*i**3/4 - 243*i**2/4 - 81*i - 412. Determine n so that f(n) = 0.
-1, 6
Let t(g) be the third derivative of -g**5/240 - 5*g**4/96 + g**3/4 + 39*g**2 + 2*g. Solve t(l) = 0.
-6, 1
Let n = 13 - 9. Solve -4 - 25*w + 5*w**2 + n + 20 = 0 for w.
1, 4
Let m be 6/(-3) - (-3 + 0). Let a be (10/(-30))/(m/(-12)). Suppose 3*k + 4*k**2 - 4*k**5 - 12*k**3 + k + 12*k**a - 4*k = 0. What is k?
0, 1
Let m = -1087/58 + 558/29. What is u in u - 3/2 + m*u**2 = 0?
-3, 1
Determine t so that 1/5 + 1/5*t**4 + 1/5*t**5 - 2/5*t**3 - 2/5*t**2 + 1/5*t = 0.
-1, 1
Suppose -11 = -v + 4*h, -5*v + 4*h = -4 - 19. Let x(j) be the first derivative of 0*j**2 + 3/8*j**4 - j**6 + 0*j - 1 + 0*j**v - 9/10*j**5. Factor x(d).
-3*d**3*(d + 1)*(4*d - 1)/2
Let l(g) be the second derivative of 1/10*g**5 - 1/15*g**6 - 2*g + 0*g**2 - 1/3*g**3 + 0 + 1/6*g**4. Factor l(k).
-2*k*(k - 1)**2*(k + 1)
Let s = -867/14 + 451/7. Factor 15/4*u - s*u**2 - 5/4*u**3 + 0.
-5*u*(u - 1)*(u + 3)/4
Suppose 3*g + 8 = -0*n + 2*n, -3*n = -4*g - 12. Factor -6*w**3 + n*w**3 + 7*w**3.
5*w**3
Let y = 3624 + -10871/3. Determine n so that 0 + y*n**3 + 1/3*n**2 - 2*n = 0.
-3, 0, 2
Let f(v) = 7*v + 67. Let m be f(-9). Factor -3*k**m - 10*k**5 + 10*k**5 - 3*k**5.
-3*k**4*(k + 1)
Let r(i) be the second derivative of i**7/168 - 5*i**6/2 + 450*i**5 - 45000*i**4 + 2700000*i**3 - 97200000*i**2 - 3*i. Suppose r(g) = 0. Calculate g.
60
Suppose 312/5*i**2 + 36/5*i**3 - 464/5*i + 32 = 0. What is i?
-10, 2/3
Let i(j) be the first derivative of -2*j**3/15 + 19*j**2/5 - 36*j/5 + 201. Factor i(g).
-2*(g - 18)*(g - 1)/5
Let i = 98 - 81. Factor 6*u**2 - 14*u + 12 - i*u + 12*u - 19*u.
2*(u - 6)*(3*u - 1)
Let h = 588 - 2934/5. What is y in 0 + 27/5*y**2 + h*y = 0?
-2/9, 0
Let i(t) = 4*t**5 - 10*t**4 + 27*t**3 + 7*t**2 - 31*t + 3. Let k(l) = 3*l**5 - 10*l**4 + 26*l**3 + 8*l**2 - 29*l + 2. Let z(x) = 2*i(x) - 3*k(x). Factor z(u).
-u*(u - 5)**2*(u - 1)*(u + 1)
Solve 0 + 3 - 3 + t**3 - 58*t - 3*t**2 + 48*t = 0 for t.
-2, 0, 5
Let u(h) be the third derivative of 0*h - 1/12*h**4 + 3*h**2 - 1/30*h**6 + 0*h**3 - 1/12*h**5 - 1/210*h**7 + 0. Factor u(f).
-f*(f + 1)**2*(f + 2)
Let b = -8611/4 + 2169. Let s = b + -51/4. Factor s*k**5 + 7*k**2 + 2*k**3 + 1 - 8*k**4 - 11/2*k.
(k - 1)**3*(k + 1)*(7*k - 2)/2
Let b be (-7 - (14 + -12)) + 9. Solve b*o**2 + 1/10*o**3 - 2/5*o + 0 = 0.
-2, 0, 2
Let z(m) be the third derivative of -5*m**8/84 - 5*m**7/21 - 11*m**6/32 - 3*m**5/16 + 13*m**2. What is x in z(x) = 0?
-1, -3/4, 0
Let r = -75 + 90. Suppose -4*d - d + 40 = 0. Factor -3*b**5 + 4*b - 7*b**2 + 0*b - b**5 + r*b**2 - d*b**4.
-4*b*(b - 1)*(b + 1)**3
Suppose -78*y + 135*y - 541*y + 10*y**4 + 1792*y**2 - 224*y**3 - 494*y**2 = 0. Calculate y.
0, 2/5, 11
Determine i so that 3*i**2 - 25/2*i**3 + 6*i**4 + 7/2*i**5 + 0 + 0*i = 0.
-3, 0, 2/7, 1
Suppose 99 + 33 = 66*z. Factor 3/8*d**3 - 3/4*d**z + 0 + 0*d.
3*d**2*(d - 2)/8
Let a be ((-48)/(-60))/(2/30). Let u be (a/(-4))/((-2)/2). Factor i**u + i**2 + 4*i**2 + i + 3*i**2 - 6*i**2.
i*(i + 1)**2
Let s(y) be the third derivative of 2*y**7/315 - 2*y**6/45 + y**5/15 + 2*y**4/9 - 8*y**3/9 - 76*y**2. Factor s(a).
4*(a - 2)**2*(a - 1)*(a + 1)/3
Let b(a) be the second derivative of 1/2*a**4 + 0 - 1/2*a**3 + 30*a + 9/20*a**5 + 0*a**2. Factor b(g).
3*g*(g + 1)*(3*g - 1)
Let x(n) be the second derivative of n**3 + 0 + 1/6*n**4 + 2*n**2 + 10*n. Let x(a) = 0. What is a?
-2, -1
Let k = -6300 - -25203/4. Solve 0 - k*o**2 + 0*o = 0 for o.
0
Let f = 12 + 21. Find l, given that -20*l**3 + 2*l**3 - 3*l**4 - f*l**2 + 173*l - 191*l = 0.
-3, -2, -1, 0
Suppose -4*r = 2*g - 8, 20 = -0*g + 5*g. Let c(h) be the second derivative of 1/120*h**6 - 1/8*h**2 - 6*h + 1/40*h**5 - 1/12*h**3 + 0 + r*h**4. Factor c(v).
(v - 1)*(v + 1)**3/4
Let n = -78 - -133. Let t be (-28)/(-10) + (-44)/n. Factor -4*i + 4*i**3 - 3 + 3 + 2*i**t + 2*i**2 - 4.
4*(i - 1)*(i + 1)**2
Let -3*p - 1/3*p**2 - 6 = 0. Calculate p.
-6, -3
Let b = 37 + -34. Factor -18*t - 10 - 15*t**2 + 8*t**4 + 10*t**3 - 5*t**3 - 7*t - b*t**4.
5*(t - 2)*(t + 1)**3
Let d(j) be the first derivative of -7*j**6/18 + 3*j**5/5 - j**4/6 - 54. Let d(c) = 0. What is c?
0, 2/7, 1
Suppose -2*z - 5*b = -16, 21*z + 20 = 25*z + 4*b. Let g(u) be the second derivative of 1/4*u**2 + 1/48*u**4 + 0 + 1/8*u**3 - z*u. Factor g(s).
(s + 1)*(s + 2)/4
Let k(p) be the third derivative of -p**7/105 + 17*p**6/60 - 21*p**5/10 - 27*p**4/4 + 273*p**2 - 2. Determine m, given that k(m) = 0.
-1, 0, 9
Let w = -25664 - -25666. Factor 2*l**3 - 54/7*l + 20/7 - 60/7*l**w.
2*(l - 5)*(l + 1)*(7*l - 2)/7
Let i be (-13)/(-5) + 2/(30/(-9)). Factor 201*p**i - 313*p**2 + 5*p + 63*p + 4*p**5 + 88*p**3 - 16 - 32*p**4.
4*(p - 4)*(p - 1)**4
Factor -2*t**2 + 48 + 2*t**2 - 3*t**2 - 40*t + 63*t**4 - t**2 + 10*t**3 - 65*t**4.
-2*(t - 3)*(t - 2)**2*(t + 2)
Let j(a) be the first derivative of a**3 + 369*a**2/4 + 183*a/2 + 158. Factor j(q).
3*(q + 61)*(2*q + 1)/2
Let v(o) be the third derivative of 0*o**4 + 0 + 0*o**3 - 1/180*o**5 - o**2 + 0*o. Find y such that v(y) = 0.
0
Let w(z) be the first derivative of -16/9*z**3 - 2/3*z - 1/18*z**6 - 3 - 2/5*z**5 - 7/6*z**4 - 3/2*z**2. Factor w(h).
-(h + 1)**4*(h + 2)/3
Let r(z) be the third derivative of -z**5/20 - 5*z**4/2 + 22*z**3 - 7*z**2 - z. Determine h, given that r(h) = 0.
-22, 2
Let h(i) be the first derivative of i**4/42 - i**3/21 + 11*i - 5. Let l(f) be the first derivative of h(f). Determine d so that l(d) = 0.
0, 1
Let w(b) be the second derivative of -b**5/30 + b**3/3 - 2*b**2/3 + 2*b + 31. Factor w(i).
-2*(i - 1)**2*(i + 2)/3
Let h(n) = -3*n**2 - 18*n - 15. Let x(p) = -6*p**2 - 36*p - 30. Let z(i) = -13*h(i) + 6*x(i). Factor z(y).
3*(y + 1)*(y + 5)
Let g(d) = 2*d + 16. Let u be g(-8). Suppose 2*m + u*m + 4*m**3 + 753 - 753 - 6*m**2 = 0. Calculate m.
0, 1/2, 1
Suppose -2*m + 3*m = 8*m - 21. Factor 0*w**2 + 1/4 - 1/2*w**m - 1/4*w**4 + 1/2*w.
-(w - 1)*(w + 1)**3/4
Let s(d) be the first derivative of 0*d**2 - 25/2*d**4 + 0*d - 12 - d**5 - 125/3*d**3. Let s(u) = 0. Calculate u.
-5, 0
Factor 0 - 2/7*w**3 - 1058/7*w - 92/7*w**2.
-2*w*(w + 23)**2/7
Factor 2862*u**3 + 732*u + 100 - 2926*u**3 + 64*u + 1568*u**2.
-4*(u - 25)*(4*u + 1)**2
Suppose 438*q - 476*q = -76. Let 4/7*f + 0 + 2/7*f**q = 0. What is f?
-2, 0
Let g(q) be the first derivative of q**7/560 + q**6/360 - 7*q**5/240 + q**4/24 - 10*q**3/3 - 4. Let