+ 24*y/5 - 4. What is i in w(i) = 0?
-4, -1, 2
Solve -1/4*d**3 + 0 + 1/4*d + 0*d**2 = 0.
-1, 0, 1
Let u(l) be the first derivative of -1/30*l**6 - 4 + 1/20*l**4 + 0*l**2 + 0*l + 0*l**3 + 0*l**5. Factor u(n).
-n**3*(n - 1)*(n + 1)/5
Let u(x) be the third derivative of 1/70*x**6 + 13/210*x**5 + 0 + 0*x + 1/7*x**4 + x**2 + 4/21*x**3 + 1/735*x**7. Determine t, given that u(t) = 0.
-2, -1
Solve 53*y - 21*y - 8 + 11 + 8*y**5 - 12*y**4 - 40*y**3 + 9 = 0.
-1, -1/2, 1, 3
Suppose 2*y - 2/5*y**2 - 8/5 = 0. What is y?
1, 4
Let a(h) be the first derivative of -2*h**3/45 + h**2/15 + 6. Factor a(y).
-2*y*(y - 1)/15
Let v(x) be the third derivative of 5*x**8/1008 - x**7/126 + x**6/270 + x**3/2 + 2*x**2. Let c(f) be the first derivative of v(f). Find g, given that c(g) = 0.
0, 2/5
Suppose 11 = -2*v + 5*m - 11, -v - 11 = 3*m. Let y(g) = -g**2 - 10*g + 13. Let t be y(v). Factor 2/5*z**t - 2/5*z - 2/5 + 2/5*z**3.
2*(z - 1)*(z + 1)**2/5
Let d be (-1 - 0)*-10*(-18)/(-90). Suppose 18/13 + 50/13*b**3 + 6*b + 110/13*b**d = 0. What is b?
-1, -3/5
Let y = -431 - -435. Let 2 - 26*r + 168*r**y + 245/2*r**2 - 244*r**3 = 0. What is r?
1/4, 2/7, 2/3
Let c(p) be the first derivative of p**7/1960 - p**6/168 + p**5/35 - p**4/14 - 10*p**3/3 - 8. Let n(d) be the third derivative of c(d). Factor n(x).
3*(x - 2)**2*(x - 1)/7
Factor 8 - 4 - 4 + 12*v**2 + 24*v - 6*v**3 - 3*v**4.
-3*v*(v - 2)*(v + 2)**2
Let n(g) be the third derivative of -g**5/60 + g**4/8 - 18*g**2. What is m in n(m) = 0?
0, 3
Let w(o) = -2*o**3 - 2*o**2 + 2*o. Let t(c) = -6*c**3 - 6*c**2 + 5*c. Suppose -4*u + 27 = 83. Let d(a) = u*w(a) + 4*t(a). Factor d(j).
4*j*(j - 1)*(j + 2)
Suppose -3*i + p - 5*p = -5, -2*i = 2*p - 4. Factor 0 + 2/3*c - c**2 + 1/3*c**i.
c*(c - 2)*(c - 1)/3
Let -4/13*a**2 + 0*a + 0*a**3 + 2/13 + 2/13*a**4 = 0. What is a?
-1, 1
Let c be (16/18)/(18/27). Let a be 4/14 - -11*(-4)/(-42). Factor -a*z + 1/3*z**2 + c.
(z - 2)**2/3
Let w(l) = -l**2 - 7*l + 1. Let t(j) = -j**2 - 6*j + 1. Let u(b) = 7*t(b) - 6*w(b). Factor u(v).
-(v - 1)*(v + 1)
Let g(q) = q**2 + 8*q + 9. Let n be g(-6). Let t be (-7)/n + (-1)/3. Solve x + x**4 - x**3 + 0*x**2 + x**t - 2*x**4 = 0 for x.
-1, 0, 1
Suppose o - 4 = 2*k, -o - 3*k + 72 = 4*o. Suppose -3*j + o = -3. Let -4*l - 2*l**2 - 5 + j = 0. Calculate l.
-2, 0
Let w = 108 - 863/8. Let h(z) be the first derivative of 0*z**2 + 0*z**3 + w*z**4 - 1 + 0*z. Factor h(i).
i**3/2
Let l = -1/151 + -449/604. Let r = 5/4 + l. Factor b**2 - b**4 + 0*b**3 + 0 + r*b - 1/2*b**5.
-b*(b - 1)*(b + 1)**3/2
Let c(d) be the third derivative of -1/168*d**8 - 4*d**2 - 1/15*d**6 + 2/3*d**3 - 4/105*d**7 + 1/15*d**5 + 0 + 0*d + 5/12*d**4. Let c(r) = 0. What is r?
-2, -1, 1
Suppose 0 = -3*z + 4*y + 12, 2*z + 6 = -4*y - 6. Let h(w) be the first derivative of z*w + 1/3*w**3 - 2 + 0*w**2. Suppose h(p) = 0. Calculate p.
0
Factor 0*b + 3/5*b**3 + 3/5*b**4 - 3/5*b**2 + 0 - 3/5*b**5.
-3*b**2*(b - 1)**2*(b + 1)/5
Let l(x) be the first derivative of 3*x**5/35 + 3*x**4/28 - x**3/7 - 3*x**2/14 - 1. Factor l(r).
3*r*(r - 1)*(r + 1)**2/7
Let q(p) be the first derivative of -p**3 + 5 - 6*p + 9/2*p**2. Factor q(l).
-3*(l - 2)*(l - 1)
Suppose 25*s = 9*s. Factor 1/2*n**3 + 0*n + s + 0*n**2 - n**4 + 1/2*n**5.
n**3*(n - 1)**2/2
Let k(m) be the first derivative of 4*m**5/5 - m**4 - 20*m**3/3 - 6*m**2 - 29. Factor k(l).
4*l*(l - 3)*(l + 1)**2
Let j(s) = -12*s**3 - 261*s**2 - 1755*s - 4116. Let i(t) = 3*t**3 + 65*t**2 + 439*t + 1029. Let y(r) = 9*i(r) + 2*j(r). Factor y(b).
3*(b + 7)**3
Let z(b) be the first derivative of b**5/5 - 7*b**4/12 + 5*b**3/9 - b**2/6 - 1. Suppose z(s) = 0. What is s?
0, 1/3, 1
Let f(l) be the first derivative of l**6/6 + 4*l**5/5 + l**4 + 2. Suppose f(c) = 0. What is c?
-2, 0
Let j = 38 + -38. Let z(k) be the second derivative of 0*k**2 + 3*k - 1/70*k**5 + j*k**4 + 0 + 0*k**3. Factor z(u).
-2*u**3/7
Suppose 5*u - 2*p = 8, 12*u - 4 = 11*u - 2*p. Factor q + 1 + 1/4*q**u.
(q + 2)**2/4
Let b be (-1)/5 - 160/(-50). Let x(u) be the second derivative of -u - 1/20*u**5 + 0*u**2 + 1/6*u**b + 0 + 0*u**4. Factor x(k).
-k*(k - 1)*(k + 1)
Let w = -223/3 - -75. Let j(k) be the third derivative of 0*k - 1/10*k**5 + w*k**3 + 0 + k**2 - 1/12*k**4. Factor j(r).
-2*(r + 1)*(3*r - 2)
Let i = -256 + 1796/7. Let u(y) be the first derivative of i*y**2 + 4/7*y**3 + 2/7*y - 1 + 2/7*y**4 + 2/35*y**5. Determine z, given that u(z) = 0.
-1
Let v = 119 - 356/3. What is n in -1/3 - 2/3*n - v*n**2 = 0?
-1
Let o(y) be the second derivative of 4/5*y**2 + 4/25*y**5 - y + 0 - 3/10*y**4 - 8/15*y**3 + 1/15*y**6. Find u, given that o(u) = 0.
-2, -1, 2/5, 1
Solve -4*q + q**2 + 2 + 6*q + 3 + 4*q = 0.
-5, -1
Factor 15/4*p - 3 - 3/4*p**2.
-3*(p - 4)*(p - 1)/4
Let o(d) = d + 5. Let c be o(-3). Suppose -c*w = w. Factor 3*v**2 + 2*v + v + w*v**3 + v**3 + 0*v**3 + 1.
(v + 1)**3
What is m in 0 + 18*m**2 - 16 - 22*m**2 + 16*m = 0?
2
Let a(w) be the second derivative of w**7/84 + w**6/15 + 3*w**5/20 + w**4/6 + w**3/12 + 17*w. Suppose a(k) = 0. Calculate k.
-1, 0
Let v(k) = 2*k**4 - 6*k**3 - 2*k**2 + 7*k - 1. Let g(p) = p**4 - p**2 - p + 1. Let t(c) = g(c) + v(c). Factor t(d).
3*d*(d - 2)*(d - 1)*(d + 1)
Suppose 33*i = 31*i + 8. Let j(b) be the third derivative of 0 - 1/120*b**5 + 1/96*b**4 + 0*b + 0*b**3 + i*b**2 + 1/480*b**6. Factor j(d).
d*(d - 1)**2/4
Let k be (8/12)/(4/3). Factor 0*y + 1/2*y**4 + 0 - 1/2*y**5 + k*y**3 - 1/2*y**2.
-y**2*(y - 1)**2*(y + 1)/2
Let o(t) be the first derivative of -5*t**3/12 - 5*t**2/8 + 5*t/2 + 2. Suppose o(j) = 0. What is j?
-2, 1
Let l(c) be the third derivative of c**8/1848 + c**7/231 + c**6/165 - c**2 + 48. Determine s, given that l(s) = 0.
-4, -1, 0
Let r = -2 - -6. Let d(j) be the second derivative of -1/21*j**r + 1/70*j**5 + j + 0*j**2 + 0 + 1/21*j**3. Factor d(o).
2*o*(o - 1)**2/7
Let v = 11 - 8. Let c(s) = -s**3 + 2*s**2 + 3*s + 4. Let u be c(v). Let z**2 - u + 2 + z**2 + 0 = 0. What is z?
-1, 1
Let g(o) be the third derivative of 2*o**7/315 + 4*o**6/135 - 11*o**5/135 - 14*o**4/27 - 8*o**3/9 - 31*o**2. Let g(i) = 0. Calculate i.
-3, -1, -2/3, 2
Suppose 3*i - 3*d = 8 + 7, -5*d = -4*i + 23. Suppose -4 = -7*h + 5*h. Let 2*s + 2*s**i - 2 + 2*s**3 - 2*s - h*s = 0. What is s?
-1, 1
Let p(k) be the first derivative of -2/27*k**3 + 2/9*k**2 - 2/9*k - 2. Factor p(z).
-2*(z - 1)**2/9
Find g, given that 0 + 0*g**2 - 2/7*g**3 + 0*g + 8/7*g**5 + 6/7*g**4 = 0.
-1, 0, 1/4
Let k(b) = 8*b**3 - 8*b**2 + 6*b - 12. Let u(f) = 7*f**3 - 7*f**2 + 5*f - 10. Let c(o) = 5*k(o) - 6*u(o). Factor c(j).
-2*j**2*(j - 1)
Solve -3*n + n**2 + 52 - 48 + 6*n**2 - 13*n = 0.
2/7, 2
Factor -2*r + 8*r - 2*r**2 + 2*r**4 - 6*r.
2*r**2*(r - 1)*(r + 1)
Factor -4/19*j - 6/19*j**2 - 2/19*j**3 + 0.
-2*j*(j + 1)*(j + 2)/19
Let i(n) be the second derivative of -n**7/105 + 13*n**6/300 - 3*n**5/40 + 7*n**4/120 - n**3/60 - 24*n. Determine o, given that i(o) = 0.
0, 1/4, 1
Let z(m) be the first derivative of -m**5/80 + m**4/24 + m**3/6 + 7*m**2/2 - 4. Let k(l) be the second derivative of z(l). Factor k(d).
-(d - 2)*(3*d + 2)/4
Let z = 1 + 3. Suppose -2*i + i = -z. Factor -8*t + 3*t**i + 3*t**3 + 8*t.
3*t**3*(t + 1)
Let -7*v**2 - 9*v - 3*v**3 - 2*v**2 + 21 - 24 = 0. Calculate v.
-1
Let c be (-5 - 1)/(3/4). Let d = -6 - c. Determine y so that -y + 2*y + y + d*y**2 = 0.
-1, 0
Let w = 67/870 + 2/87. Let v(f) be the second derivative of 1/3*f**3 + 2*f + 1/6*f**4 - w*f**5 - f**2 + 0. Solve v(a) = 0 for a.
-1, 1
Suppose 5*n = -4*g + 17, -3*g - 2*n + 6 = -5. Factor 0*b + 3*b**2 + 5*b - 5*b**2 - 5*b**g + 2.
-(b - 1)*(b + 1)*(5*b + 2)
Suppose 26*h**2 + 3*h**2 + 3*h - 9*h - 2*h**2 = 0. Calculate h.
0, 2/9
Let q(d) = d + 10. Let s(b) = 3*b + 29. Let u(r) = 17*q(r) - 6*s(r). Let t be u(-4). Factor 0 - 1/4*x**4 + 1/4*x**5 + 0*x + t*x**3 + 0*x**2.
x**4*(x - 1)/4
Factor -7 - 2*m - 2*m - 5 + 4*m**2 + 12*m.
4*(m - 1)*(m + 3)
Let r = 2/25 + 32/225. What is p in 2/9*p**2 - 4/9 + r*p = 0?
-2, 1
Let v be -4 + ((-15)/18)/((-40)/264). Solve 3*w + 3/2*w**2 + v = 0.
-1
Let a(q) = 0 + q**2 - 4 + 3 - q. Let i(k) = k**2 + 1. Let o(v) = -2*v**2 - 5*v - 1. Let u(y) = -2*i(y) + o(y). Let l(h) = -3*a(h) + u(h). Factor l(r).
-r*(7*r + 2)
Suppose 0 = -a + 2*a. Suppose a = 4*m - 3*m - 3. Find c, given that 2/9*c**m - 2/9*c + 0 + 0*c**2 = 0.
-1, 0, 1
Let r(n) be the third derivative of -1