Find g such that i(g) = 0.
0, 4
Let z be -2 + -36*(-10)/165. Let w(j) = 5*j + 72. Let o be w(-14). Determine i so that 0 - 2/11*i + z*i**o = 0.
0, 1
Factor -5 - 13/2*n**2 - 67/2*n.
-(n + 5)*(13*n + 2)/2
Suppose 333*c = -51*c + 88*c. Let 0*u**2 - 3/7*u**5 + 0 + c*u + 3/7*u**3 + 0*u**4 = 0. Calculate u.
-1, 0, 1
Let n(m) = 6*m**3 + 29*m - 106*m**2 - 16 + 4 - 2*m**3 + 86*m**2. Let g(r) = r. Let d(h) = -g(h) + n(h). Solve d(l) = 0.
1, 3
Let n(g) be the first derivative of 2*g**5/55 - g**4/22 - 34*g**3/33 + 21*g**2/11 + 72*g/11 + 170. Solve n(d) = 0 for d.
-4, -1, 3
Let v = 58363/4 - 14661. Let h = 71 + v. Find d, given that 3/4*d**4 - 1/2*d**2 + 1/4*d**5 - h*d - 1/4 + 1/2*d**3 = 0.
-1, 1
Factor -69/7*c**2 + 0 - 3/7*c**3 - 18*c.
-3*c*(c + 2)*(c + 21)/7
Suppose 2*m - 96 = -10*m. Suppose 0 = 5*y - 2*g - 2 + 10, -2*g = y - m. Determine w so that 6/11*w**3 + 2/11*w**5 + y*w - 2/11*w**2 + 0 - 6/11*w**4 = 0.
0, 1
Let f be 6/(-45) + 282/90. Let o(g) be the second derivative of 1/8*g**4 + 0 + 3/4*g**2 + 5*g - 1/2*g**f. Solve o(y) = 0.
1
Factor -3*l + 15*l**5 - 35*l**2 + 39*l**3 - 45*l**2 + 43*l**4 + 132*l**2 + l - 43*l**2.
l*(l + 1)**3*(15*l - 2)
Let k be -6 - (1 + -12 + 5 + -5). Let y(a) be the second derivative of -2*a**3 + 9/20*a**k - 8*a + 0 - 1/10*a**6 + 0*a**2 + 0*a**4. Let y(x) = 0. Calculate x.
-1, 0, 2
Suppose -3*q = -q + 4. Let v(s) = 2*s**2 + 2*s. Let w be v(q). Factor 2*g - 10*g - w*g**2 - 3 + 2*g**5 + 6*g**4 + 2*g + 4*g**3 + 1.
2*(g - 1)*(g + 1)**4
Let s(t) = -3*t**4 + 81*t**3 - 602*t**2 + 524*t - 17. Let q(h) = -h**4 + 27*h**3 - 201*h**2 + 175*h - 6. Let p(j) = 17*q(j) - 6*s(j). Factor p(d).
d*(d - 13)**2*(d - 1)
Let w(a) be the third derivative of a**5/240 + 11*a**4/48 - 2*a**3 + 285*a**2. Factor w(y).
(y - 2)*(y + 24)/4
Suppose -6 - 2 = -2*g. Let a be ((-8)/(-18))/((-4)/(-18)). Factor 2*y**4 + g*y**2 + y**5 - y**4 - a*y + y**5 - 5*y**4.
2*y*(y - 1)**3*(y + 1)
Let z be 420/(-112)*2/(-36). Let l(u) be the first derivative of 1/6*u**3 + u**2 - z*u**4 + 2/3*u - 5. Determine i so that l(i) = 0.
-1, -2/5, 2
Let r be 5 + (2/(-156))/(1/358). Let y(d) be the first derivative of 1 + 0*d - 2/65*d**5 - r*d**3 + 5/26*d**4 + 4/13*d**2. Factor y(n).
-2*n*(n - 2)**2*(n - 1)/13
Let n(i) be the second derivative of -i**5/25 + 11*i**4/15 + 28*i**3/5 - 10*i - 2. Factor n(b).
-4*b*(b - 14)*(b + 3)/5
Determine c, given that -45*c**4 - 1146/5*c**2 - 72/5 + 201*c**3 + 492/5*c = 0.
2/5, 2/3, 3
Let l(w) be the first derivative of -4 + 0*w - 3/4*w**4 - 3/4*w**2 - 3/2*w**3. Find j such that l(j) = 0.
-1, -1/2, 0
Find v such that 726/7*v + 2662/7 + 2/7*v**3 + 66/7*v**2 = 0.
-11
Let h(s) be the second derivative of s**4/4 - 5*s**3 - 33*s**2/2 - 40*s. Factor h(z).
3*(z - 11)*(z + 1)
Let g(s) be the third derivative of s**9/8064 - 3*s**7/2240 - s**6/480 + 8*s**3/3 + 21*s**2. Let o(p) be the first derivative of g(p). Factor o(t).
3*t**2*(t - 2)*(t + 1)**2/8
Let q(h) = h**2 + 3*h - 6. Suppose m - 5 = -10. Let k be q(m). Let 3*p**3 + 2*p**k + 5*p**3 - 10*p**3 = 0. Calculate p.
0, 1
Let f(m) be the first derivative of -4*m**3/3 + 52*m**2 - 676*m + 55. Let f(a) = 0. Calculate a.
13
Let o be 2/4*3*2. Suppose o*i + 33 = 6*i + 4*p, 4*i + 2*p - 44 = 0. Determine r, given that 1 - i*r**3 + r**5 + 5*r**4 + 5*r + 10*r**2 + 35*r**3 - 14*r**3 = 0.
-1
Let r(a) be the second derivative of -a**6/255 + a**5/34 - 2*a**4/51 + 51*a. What is b in r(b) = 0?
0, 1, 4
Let i(r) be the third derivative of r**8/1680 - r**6/180 + r**4/24 - 7*r**3/6 + 14*r**2. Let y(d) be the first derivative of i(d). Factor y(s).
(s - 1)**2*(s + 1)**2
Let t(j) = -2*j**3 + 6*j**2 - 2*j + 9. Let d be t(3). Let b(n) be the first derivative of 6*n + 2/3*n**d + 4*n**2 - 5. Suppose b(q) = 0. What is q?
-3, -1
Find d such that 54 - 18*d**4 - 52596*d**2 + 37*d - 190*d - 18*d**3 + 3*d**5 + 52728*d**2 = 0.
-3, 1, 6
Suppose 14 = -2*d + 9*d. Factor 4 + 12*c**d - c**3 + 3*c**3 + 2*c**3 - 7*c + 19*c.
4*(c + 1)**3
Let k be (10/25)/(2/10). Suppose -5*o + 12 = h - 6, -k*h - 24 = -5*o. Factor -t**o + 2*t**2 - 5*t**2 - t - 45*t**3 + 42*t**3.
-t*(t + 1)**3
Find s, given that 3200 - 134*s**2 + 260*s**2 + 160*s - 124*s**2 = 0.
-40
Let m(f) be the third derivative of 0*f - 1/180*f**6 + 14*f**2 + 0 + 1/180*f**5 - 1/18*f**3 + 1/2016*f**8 + 1/48*f**4 + 0*f**7. Let m(u) = 0. Calculate u.
-2, -1, 1
Suppose 3*o - 2*o + 15 = 2*k, -4*k - 3*o = -25. Find l, given that 0*l**2 - 5*l**3 + 3*l**2 + k*l**2 - 17 + 7 + 5*l = 0.
-1, 1, 2
Factor 64 + 1/4*t**2 - 8*t.
(t - 16)**2/4
Let p(u) be the first derivative of 27/8*u**4 + 27/10*u**5 + 2 - 15/2*u**3 - u + 17/4*u**2. Determine m, given that p(m) = 0.
-2, 1/3
Let b(n) be the first derivative of 0*n + 1/30*n**4 + 3 - 1/5*n**3 + 1/150*n**5 - 2*n**2. Let m(x) be the second derivative of b(x). Let m(k) = 0. What is k?
-3, 1
Let w be ((-28)/(952/85))/((-2)/16). Suppose 0*s + 45/4*s**3 - 30*s**4 + 0 - 5/4*s**2 + w*s**5 = 0. Calculate s.
0, 1/4, 1
Let o = -1090/9 + 76303/630. Let p(h) be the third derivative of o*h**5 + 0 - 1/42*h**4 + 0*h + 1/21*h**3 + 5*h**2. Let p(v) = 0. Calculate v.
1
Let z(g) = -2*g - 22. Let p be z(-6). Let l be ((-54)/(-180))/((-4)/p). Factor 0 + 0*x + l*x**4 + 3/4*x**3 + 0*x**2.
3*x**3*(x + 1)/4
Let z(g) = 2*g**2 - 14*g + 2. Let a be z(7). Find q such that -4 - 2*q + 5*q**a + 6*q**2 + q**3 - 2*q**4 - 5*q**2 + q**3 = 0.
-1, 1, 2
Let y(s) be the first derivative of 4*s**5/25 - 14*s**4/5 - 44*s**3/15 + 168*s**2 + 720*s - 586. Factor y(x).
4*(x - 10)**2*(x + 3)**2/5
Let p = -2624 - -7876/3. Factor 2/3*c**4 - 2*c**5 + 0 + 0*c**2 + 0*c + p*c**3.
-2*c**3*(c - 1)*(3*c + 2)/3
Let a = -16/21 - -10/7. Let n = -7582 + 7587. Factor 0*d**3 + 0 + 2/3*d - a*d**n + 4/3*d**2 - 4/3*d**4.
-2*d*(d - 1)*(d + 1)**3/3
Let f(b) be the third derivative of 0*b + 9/140*b**6 + 0*b**4 + 81/140*b**5 + 8*b**2 + 0*b**3 + 0 + 1/490*b**7. Factor f(j).
3*j**2*(j + 9)**2/7
Let p(g) be the first derivative of 3*g**4/20 - 27*g**3/5 - 9*g**2 + 168*g/5 - 118. What is u in p(u) = 0?
-2, 1, 28
Factor q**2 - 301083*q - 49284 - 5*q**2 + 301971*q.
-4*(q - 111)**2
Factor 619*n**2 + n - 620*n**2 - 484 + 43*n.
-(n - 22)**2
Let h(u) be the third derivative of u**9/105840 + u**8/11760 - u**6/315 + 8*u**5/15 - 27*u**2. Let j(t) be the third derivative of h(t). Factor j(m).
4*(m - 1)*(m + 2)**2/7
Factor 165*d**4 + 9*d + 5*d**5 - 10 - 80*d**2 + 70*d**3 + 36*d - 195*d**4.
5*(d - 2)*(d - 1)**4
Determine y, given that -1/4*y + 1/4*y**3 + 0 - 1/4*y**4 + 1/4*y**2 = 0.
-1, 0, 1
What is i in -i**4 + 10*i**4 - 6*i**3 + 0*i**4 - 11*i**4 + 0*i**3 + 8*i = 0?
-2, 0, 1
Find v such that v**2 + 11/4*v**5 + 0*v - 5*v**3 + 0 - 13/4*v**4 = 0.
-1, 0, 2/11, 2
Let d = -13/327 - -45/218. Let c be 2/4*(-1 - -1). Factor 1/6*w**2 + d*w + c.
w*(w + 1)/6
Let k(n) be the third derivative of -1/168*n**8 + 3*n**2 + 0*n**3 - 1/10*n**6 + 2/15*n**5 - 1/12*n**4 + 4/105*n**7 + 0*n + 0. Solve k(o) = 0.
0, 1
Let s(r) be the first derivative of 0*r**2 - 47 - 2/55*r**5 - 4/33*r**3 + 0*r - 3/22*r**4. Let s(v) = 0. Calculate v.
-2, -1, 0
Let f be (3 + 3 + -8)/((-507)/(-260) - 2). Solve 8*b - f - 2/5*b**2 = 0 for b.
10
Let a be (240/3)/(-8)*(-1)/2. Let w(f) be the third derivative of 0*f + f**2 + 1/300*f**a + 2/15*f**3 + 0 - 1/30*f**4. Factor w(x).
(x - 2)**2/5
Let v(w) = 155*w**3 - 590*w**2 + 545*w - 365. Let z(u) = 11*u**3 - 42*u**2 + 39*u - 26. Let i(d) = 6*v(d) - 85*z(d). Factor i(c).
-5*(c - 4)*(c - 1)**2
Factor -244/7 - 248/7*d - 4/7*d**2.
-4*(d + 1)*(d + 61)/7
Factor 575*l - 4*l**3 + 107*l**2 - 3*l**3 + 416*l - 108 - 643*l.
-(l - 18)*(l + 3)*(7*l - 2)
Let a(o) be the third derivative of o**6/72 + o**5/8 + 10*o**3/3 - 5*o**2. Let g(m) be the first derivative of a(m). Factor g(c).
5*c*(c + 3)
Let f(c) be the second derivative of -c**7/28 - 3*c**6/10 + 3*c**5/40 + 3*c**4/4 + 490*c. Suppose f(z) = 0. Calculate z.
-6, -1, 0, 1
Solve 0 - 1/7*a**5 - 5/7*a**3 + 2/7*a**2 + 4/7*a**4 + 0*a = 0 for a.
0, 1, 2
Let m(w) = -2*w**4 + 4*w**3 - 2*w. Let n(v) = -2*v**4 + 5*v**3 - v**2 - 2*v. Let f(c) = 2*c - 32. Let t be f(14). Let k(i) = t*n(i) + 6*m(i). Factor k(r).
-4*r*(r - 1)**2*(r + 1)
Let r(n) = -n. Let m be r(-4). What is b in b**3 - 12*b**4 - 24*b**2 + m*b + 36*b**2 + 16*b**5 - 21*b**3 = 0?
-1, -1/4, 0, 1
Let o = 6 + -4. Suppose -3*j + j = -u, -o*j = 0. Solve 3/4*y**2 + u - 7/4*y