- 4/21*j**3. Suppose a(y) = 0. Calculate y.
-2, -1, 1
Suppose -42/11*d**2 - 32/11*d**3 + 24/11 - 6/11*d**4 + 8/11*d = 0. What is d?
-3, -2, -1, 2/3
Let b(s) = s**2 + 8*s. Let m(t) = -40*t**2 + 85*t. Let l(r) = 35*b(r) + m(r). Factor l(q).
-5*q*(q - 73)
Let c(n) be the third derivative of 0 + 0*n**4 + 0*n**3 + 0*n + 7*n**2 - 1/60*n**5. Find r, given that c(r) = 0.
0
Solve -1/3 + 1/3*w + 1/3*w**2 - 1/3*w**3 = 0 for w.
-1, 1
Let c be (-90)/(-800) + (4/(-2) - -2). Let g(u) be the second derivative of -c*u**5 - 5/24*u**3 - 1/4*u**2 + 0 + 8*u + 1/3*u**4. Factor g(a).
-(a - 1)**2*(9*a + 2)/4
Factor -41*n - 3*n - 3 - 2*n - 126*n**2 + 7*n.
-3*(6*n + 1)*(7*n + 1)
Let f be 2/28*-4 + 13/2184*104. Let h be 0/((-2 + 1)*-2). Factor 0 + 0*o - f*o**3 + 1/3*o**4 + h*o**2.
o**3*(o - 1)/3
Let x(b) = 21*b**2 - 80*b + 200. Let j(a) be the second derivative of -5*a**4/6 + 20*a**3/3 - 50*a**2 - 15*a. Let u(g) = 13*j(g) + 6*x(g). Factor u(t).
-4*(t - 5)**2
Suppose 6*u - 39 = 9. Let i(h) be the first derivative of 6/5*h**5 + 1/2*h**4 + 8*h + u - 14/3*h**3 + 0*h**2 - 1/3*h**6. Solve i(c) = 0 for c.
-1, 1, 2
Let r be (0 - (-1 + -1)) + -1 + 1. Suppose -3*f - 2*y = 0, -2*f - 3*y - 3 - r = 0. Determine b so that 8/11 + 50/11*b**f + 40/11*b = 0.
-2/5
Let n(l) be the third derivative of -l**7/210 + 3*l**6/80 + l**5/60 - 13*l**4/16 + 3*l**3/2 + 16*l**2 - 2. Let n(d) = 0. What is d?
-2, 1/2, 3
Let v(n) = 11*n**3 + 2*n - 1. Let g be v(1). Suppose -k - 3*k = -g. Factor 4*a**5 + 3*a**k - a**5 - 6*a**5.
-3*a**3*(a - 1)*(a + 1)
Factor j**4 + 81*j**2 + 5*j**3 - 5*j + 0 - 78*j**2 - 4.
(j - 1)*(j + 1)**2*(j + 4)
Suppose -8*d + 1534 = -370. Let n be 4*1 - 812/d. Factor -n*c + 4/17 + 8/17*c**2 - 2/17*c**3.
-2*(c - 2)*(c - 1)**2/17
Factor -2*s**5 - 22*s**4 + 8*s**4 + 37*s**2 - 30*s**2 - 22*s**3 - 17*s**2.
-2*s**2*(s + 1)**2*(s + 5)
Factor -46*x**3 + 172*x**2 + 86*x**3 + 4*x**4 - 208*x - 8*x**4.
-4*x*(x - 13)*(x - 1)*(x + 4)
Let q(p) be the second derivative of -p**5/12 + 40*p**3/9 - 400*p. Factor q(d).
-5*d*(d - 4)*(d + 4)/3
Let s(g) be the third derivative of 13*g**5/330 - 9*g**4/44 + 2*g**3/33 - 36*g**2 - 7. Factor s(v).
2*(v - 2)*(13*v - 1)/11
Factor 125*b**3 - 126*b**3 - 8*b**2 - 13*b**2 + 5*b - 18*b**2 - 43*b.
-b*(b + 1)*(b + 38)
Let m = -227/5 + 49. Let w be -7 + -1 + -7 + 1 + 16. Determine y so that -m*y**4 + 0 - 9/5*y - 36/5*y**3 - 3/5*y**5 - 6*y**w = 0.
-3, -1, 0
Let r(n) = -4*n + 53. Let o be r(4). Let g be (1/(-3))/(o/(-555)). Let 9/4*c**3 + 3/4*c**2 - 3/4*c - 15/4*c**4 + 0 + 3/2*c**g = 0. Calculate c.
-1/2, 0, 1
Let q(l) = 5*l - 13. Let i be q(3). Let t(v) be the first derivative of -1/4*v**2 - i + 1/8*v**4 + 0*v + 0*v**3. Factor t(b).
b*(b - 1)*(b + 1)/2
Let c(p) be the second derivative of -49*p**4/120 + 7*p**3/6 - 4*p**2/5 + 200*p. Factor c(f).
-(7*f - 8)*(7*f - 2)/10
Suppose 0*f = 4*f. Let h = 5252 - 15748/3. Find b, given that -2/3*b + h*b**3 - 2*b**2 + f = 0.
-1/4, 0, 1
Let i = -10 + 13. Factor 45*y**2 - 25*y**3 + 5*y**4 + 0 - i*y - 32*y - 1 + 11.
5*(y - 2)*(y - 1)**3
What is t in -45/2 + 5/4*t**2 + 5/4*t**4 - 105/4*t + 25/4*t**3 = 0?
-3, -1, 2
Let r(s) be the first derivative of 4*s**3/27 - 10*s**2/9 - 2. Let r(d) = 0. What is d?
0, 5
Let p(b) be the second derivative of b**5/20 - b**4/6 - 5*b**3/6 + 3*b**2 - 144*b. Factor p(g).
(g - 3)*(g - 1)*(g + 2)
Let s = 161 - -160. Let w = 1293/4 - s. Suppose -w*l**2 - 1/4*l**5 - 7/4*l**4 + 0 + 0*l - 15/4*l**3 = 0. Calculate l.
-3, -1, 0
Let w = 17 - -63. Let g = -78 + w. Factor 1/6*y**3 + 0*y + 0 - 1/6*y**g.
y**2*(y - 1)/6
Let i(v) be the first derivative of v**6/9 - 3*v**5/5 + 5*v**4/6 - v**3/3 + 17. Find t such that i(t) = 0.
0, 1/2, 1, 3
Let b(f) be the third derivative of f**8/168 - f**7/105 - f**6/30 - 89*f**2. Find g such that b(g) = 0.
-1, 0, 2
Suppose 15 = 3*x + 6. Determine m so that 8 + 12 - 20 + x*m**2 = 0.
0
Let t = 44/9 - 85/18. Let g(r) be the second derivative of 0 - 1/36*r**4 + t*r**2 + 3*r + 0*r**3. Let g(j) = 0. What is j?
-1, 1
Let j(t) be the first derivative of 0*t**5 + 5/12*t**6 + 15/4*t**2 - 5*t + 5/3*t**3 - 32 - 5/2*t**4. Factor j(p).
5*(p - 1)**3*(p + 1)*(p + 2)/2
Let s = 8 - 12. Let o(m) = -m**3 - 4*m**2 - 2*m + 8. Let r be o(s). Factor -8*u**2 + 6*u**2 - 8*u + r*u - 10*u**2.
-4*u*(3*u - 2)
Let t be (-3)/6 + (-46)/4. Let k be 16/t*1*-3. Let 3*c - 2*c**3 + 2*c**2 - 4*c**2 + 5*c**k - 3*c**4 - c = 0. What is c?
-1, 0, 1
Solve 4*x**3 + 11/5*x**2 - 4/5 + 2/5*x**5 - 4/5*x + 11/5*x**4 = 0.
-2, -1, 1/2
Let n(f) be the first derivative of f**8/1680 - f**7/480 - f**6/720 + f**3/3 + 5. Let a(s) be the third derivative of n(s). Determine p so that a(p) = 0.
-1/4, 0, 2
Let m(g) be the first derivative of 1/20*g**4 + 3*g - 1/5*g**3 - 9/10*g**2 - 8. Let k(b) be the first derivative of m(b). Solve k(l) = 0 for l.
-1, 3
Let b(o) be the first derivative of 5/3*o**2 + 5*o**4 - 5/3*o**5 - 18 - 5*o**3 + 0*o. Find a such that b(a) = 0.
0, 2/5, 1
Let w(q) be the third derivative of 1/56*q**4 + 1/140*q**5 - 6*q**2 + 0*q + 0 + 0*q**3. Determine g, given that w(g) = 0.
-1, 0
Suppose -b + 11 = 2*b - 5*g, -3 = -3*b - 3*g. Let f = 262 + -262. Solve 0 + f*c - 4/3*c**4 + 0*c**b + 2/3*c**5 + 2/3*c**3 = 0.
0, 1
Let a = 82 + 99. Let x = 181 - a. Solve -6*i**3 - 5/4*i**2 - 7*i**5 + 55/4*i**4 + x + 1/2*i = 0.
-2/7, 0, 1/4, 1
Let t(z) be the first derivative of -1 - 1/450*z**5 - 2/45*z**3 + 0*z + 1/60*z**4 - 6*z**2. Let j(f) be the second derivative of t(f). Factor j(k).
-2*(k - 2)*(k - 1)/15
Let q(y) be the third derivative of 0*y + 0 + 1/12*y**4 + 5/12*y**3 + 11*y**2 - 1/120*y**5. Suppose q(s) = 0. Calculate s.
-1, 5
Let y(h) be the third derivative of h**7/1470 + h**6/140 + 13*h**5/420 + h**4/14 + 2*h**3/21 + 4*h**2. Factor y(a).
(a + 1)**2*(a + 2)**2/7
Determine i so that 5*i**4 + 182*i - i**4 + 588 - 16*i**2 + 316*i - 40*i**3 + 118*i = 0.
-3, -1, 7
Let j(u) be the first derivative of u**4/78 + 2*u**3/39 + 2*u - 6. Let c(h) be the first derivative of j(h). Factor c(o).
2*o*(o + 2)/13
Let z(f) = -2*f**2 - f + 1. Let u(i) = -9*i**2 - 76*i + 75. Let h(c) = -u(c) + 5*z(c). Solve h(o) = 0.
1, 70
Let t(q) be the third derivative of q**6/300 - q**4/60 - 76*q**2. Factor t(h).
2*h*(h - 1)*(h + 1)/5
Let a = 4/541 + 1006/10279. Factor 0 + a*c**2 - 2/19*c.
2*c*(c - 1)/19
Let v(q) be the second derivative of 4 + 3*q + 4*q**2 + 2*q**3 + 1/40*q**5 + 3/8*q**4. Factor v(p).
(p + 1)*(p + 4)**2/2
Let v(m) = -m**2 - m. Suppose 9*c - 3 = 6*c. Let r(d) = -14*d**2 - 6*d. Let s(a) = c*r(a) - 12*v(a). Solve s(j) = 0 for j.
0, 3
Let h(u) be the first derivative of 27*u**5/20 + 29*u**4/4 + 12*u**3 + 6*u**2 - 41*u - 34. Let m(g) be the first derivative of h(g). Solve m(s) = 0 for s.
-2, -1, -2/9
Let z be 2/3*(36/8 + -6). Let d be -4 - z/((-21)/(-114)). Factor -6/7*p**3 + d*p**2 - 2/7*p - 2/7.
-2*(p - 1)**2*(3*p + 1)/7
Let z(m) be the second derivative of 4*m + 0 + 1/90*m**6 - 1/252*m**7 + 0*m**2 + 0*m**5 - 1/36*m**4 + 1/36*m**3. Factor z(u).
-u*(u - 1)**3*(u + 1)/6
Let m(c) be the first derivative of 4/3*c + 1/6*c**4 + 2*c**2 - 50 + c**3. Factor m(v).
(v + 2)**2*(2*v + 1)/3
Let l(p) = p**2 - 22*p + 68. Let q be l(18). Let v be (2 + -3)/(-5 + (-18)/q). Solve 0*t - 2/5*t**3 + 0 + 2/5*t**v = 0 for t.
0, 1
Let s be (1 + 8)*(1220/(-180) - -7). Factor -7/3*u**3 + 2*u**s + 0 + 0*u + 2/3*u**4.
u**2*(u - 2)*(2*u - 3)/3
Let d(r) = -16*r + 610. Let n be d(38). Factor -1/3*j**3 + 1/6*j**4 - 1/6 + 0*j**n + 1/3*j.
(j - 1)**3*(j + 1)/6
Let q(x) be the first derivative of -x**4/38 - 2*x**3/57 + 2*x**2/19 - 61. Factor q(y).
-2*y*(y - 1)*(y + 2)/19
Let q(y) be the first derivative of y**3/24 + 7*y**2/8 + 13*y/8 + 51. Factor q(d).
(d + 1)*(d + 13)/8
Let o(y) = 24*y**2 - 306*y + 366. Let v(d) = -5*d**2 + 60*d - 73. Let x(r) = -6*o(r) - 28*v(r). Suppose x(c) = 0. Calculate c.
1, 38
Let j(k) be the third derivative of 0 + 1/9*k**4 + 0*k**3 + 0*k - 7/90*k**5 + 1/315*k**7 + 1/90*k**6 - 33*k**2. Determine s so that j(s) = 0.
-4, 0, 1
Suppose f**2 - 29 - 26 + 8*f + 67 = 0. What is f?
-6, -2
Let f(u) be the second derivative of -u**7/420 + 7*u**2 - 18*u. Let n(m) be the first derivative of f(m). Factor n(a).
-a**4/2
Let q(d) be the third derivative of -d**5/60 - 7*d**4/24 + 5*d**3/6 + 6*d**2. Let p be q(-7). Let 3*n**5 + 6*n**4 - 2*n**4 - n**p + 2*n**5 = 0. Calculate n.
-1, 0
Solve 15