 4*t - 1. Let v(i) = g(i) + m(i). Solve v(u) = 0.
-1, 0, 1
Let a(q) be the second derivative of 0*q**3 + 0*q**2 + 3*q + 0*q**4 + 1/90*q**6 + 0 + 1/60*q**5. Factor a(n).
n**3*(n + 1)/3
Factor 15/4*t**2 + 39/4*t - 9/2.
3*(t + 3)*(5*t - 2)/4
Determine y, given that -2/9*y**4 - 4/3*y**3 + 10/9*y + 2/3 + 2/9*y**5 - 4/9*y**2 = 0.
-1, 1, 3
Let l be (-5)/((-60)/(-8))*(-21)/70. Determine a so that 2/5*a + l*a**4 - 2/5*a**3 - 1/5 + 0*a**2 = 0.
-1, 1
Let r = -1 + 4. Let l = -186/5 + 578/15. Solve -2/3*p**4 + 0*p**2 - 4/3*p + l*p**r + 2/3 = 0 for p.
-1, 1
Let p(j) be the second derivative of j**5/110 - 9*j**4/22 + 81*j**3/11 - 729*j**2/11 + 3*j. Factor p(v).
2*(v - 9)**3/11
Suppose -2*g - 2*g - 8 = -4*b, 15 = 3*b. Factor -4*q**2 - 4 + 8*q - 5*q**2 - 2*q + g.
-(3*q - 1)**2
Let t(j) = -2*j**4 - 3*j**2 + 5*j + 5. Let v = 22 + -16. Let u(w) = -w**4 - w**2 + 2*w + 2. Let z(i) = v*t(i) - 15*u(i). Solve z(q) = 0 for q.
-1, 0, 1
Let i(h) = h**3 + 7*h**2 + h + 7. Let w be i(-7). Let s be (3 - w)/(3/2). Determine l, given that 2/7*l**4 - 2/7 - 4/7*l + 4/7*l**3 + 0*l**s = 0.
-1, 1
Let v = 13/115 + 2/23. Let 0 + v*y**2 - 1/5*y**4 - 1/5*y + 1/5*y**3 = 0. Calculate y.
-1, 0, 1
Let t = -56 + 225/4. Let s(r) be the second derivative of 1/12*r**6 + t*r**2 - 2*r - 1/4*r**5 - 1/84*r**7 + 5/12*r**4 + 0 - 5/12*r**3. Factor s(i).
-(i - 1)**5/2
Let k(t) be the second derivative of 2/9*t**4 + 2/3*t**3 + 0 + 2/3*t**2 - 5*t - 2/15*t**6 - 2/63*t**7 - 2/15*t**5. Suppose k(m) = 0. What is m?
-1, 1
Determine a so that 0*a**3 + 0 + 4/5*a**2 - 4/5*a**4 - 2/5*a + 2/5*a**5 = 0.
-1, 0, 1
Let c be 7 - (-1 - 320/(-45)). Factor -4/3*t**4 - 2/9*t**5 - c*t - 26/9*t**3 + 0 - 8/3*t**2.
-2*t*(t + 1)**2*(t + 2)**2/9
Let l(u) be the second derivative of -u**5/40 - u**4/6 - 5*u**3/12 - u**2/2 - 16*u. Factor l(t).
-(t + 1)**2*(t + 2)/2
Let t(z) be the second derivative of 2*z + 1/6*z**4 + 0 - 1/3*z**3 + 0*z**2. Factor t(i).
2*i*(i - 1)
Let t(a) be the first derivative of -a**4/2 + 3. Factor t(k).
-2*k**3
Find n such that 24*n**2 + 16*n**3 + 0*n**4 + 1 + 3 + 4*n**4 + 16*n = 0.
-1
Let c(o) be the first derivative of o**3/3 - o**2/2 - o - 3. Let f(a) = -6*a**2 + 5*a + 5. Let n(t) = 5*c(t) + f(t). Factor n(h).
-h**2
Let f = 8 - 5. Factor 0*u**5 - u**3 - 2*u**5 + u**2 + 3*u**5 + f*u**4 - 4*u**4.
u**2*(u - 1)**2*(u + 1)
Find g, given that 4*g**5 - g**4 + 11*g**4 - 6*g**4 - 4*g**3 - 4*g**2 = 0.
-1, 0, 1
Let a(z) be the first derivative of z**7/70 - z**6/20 + z**5/20 + 5*z**2/2 - 2. Let q(j) be the second derivative of a(j). Let q(n) = 0. Calculate n.
0, 1
Let v(g) be the third derivative of -g**6/60 + 11*g**5/30 - 19*g**4/12 + 3*g**3 - 28*g**2. Solve v(w) = 0 for w.
1, 9
Let l(s) be the second derivative of 0 - 5/21*s**3 - 1/7*s**5 + 5/21*s**4 + 1/21*s**6 - 1/147*s**7 + 3*s + 1/7*s**2. Solve l(x) = 0 for x.
1
Let p(f) = -3*f**3 + 3*f**2 - f - 7. Let c(t) = 3*t**3 - 3*t**2 + 6. Let l be 12/3 + 2 + 0. Let w(a) = l*p(a) + 7*c(a). Solve w(q) = 0 for q.
-1, 0, 2
Let i be (-1)/6*-15 + -1 + -1. Let i - j + 0*j**2 + j**3 - 1/2*j**4 = 0. What is j?
-1, 1
Factor 1/2*j**3 + 2/3 + 13/6*j**2 + 8/3*j.
(j + 2)**2*(3*j + 1)/6
Let v(w) = -21*w**3 + 19*w + 9. Let g(m) = -4*m**3 + 4*m + 2. Let y(b) = -22*g(b) + 4*v(b). What is i in y(i) = 0?
-1, 2
Let z = 11 - 9. Let t(y) be the third derivative of 1/21*y**7 + 0*y - 1/12*y**4 - 1/30*y**6 + 0 + 1/56*y**8 - 2*y**z + 1/3*y**3 - 1/5*y**5. Factor t(c).
2*(c - 1)*(c + 1)**3*(3*c - 1)
Let k(m) be the first derivative of -2 - 4/9*m**3 - 4/3*m**2 - 4/3*m. Factor k(v).
-4*(v + 1)**2/3
Let n(s) be the first derivative of 2*s**3/15 - 3*s**2/5 - 8*s/5 - 5. Suppose n(g) = 0. What is g?
-1, 4
Let i(a) be the third derivative of 0*a**4 + 11*a**2 + 0*a**3 + 0 + 1/240*a**5 - 1/480*a**6 + 0*a. Factor i(o).
-o**2*(o - 1)/4
Let g(d) be the third derivative of 2*d**7/105 + d**6/30 - d**5/15 - d**4/6 + 8*d**2. Factor g(z).
4*z*(z - 1)*(z + 1)**2
Suppose -4*w + 2*w = 0. Suppose w = -3*c + 4 + 8. Find y, given that -2 + 22*y**c + 0 - 6*y**5 + 12*y**2 + 2*y - 19*y**3 - 9*y**3 = 0.
-1/3, 1
Let o(l) be the third derivative of -l**7/1260 - 7*l**6/360 - l**5/6 - 25*l**4/72 + 125*l**3/36 - 15*l**2. Factor o(g).
-(g - 1)*(g + 5)**3/6
Let i be 3*10/9 + -3. Let j(f) be the first derivative of i*f**3 + 0*f + 1/4*f**2 - 2. Factor j(d).
d*(2*d + 1)/2
Let k be 1/3 - ((-90)/(-10))/108. Solve 2*c + k*c**2 + 4 = 0 for c.
-4
Suppose -4*n - 1 + 11 = -v, 0 = -5*v - 10. Suppose k = n + 1. What is a in 8*a**k - 3 - 2 - 6*a + 4 + 3 = 0?
-1, 1/2
What is h in -49*h - h**3 + 52*h + 1 - 3 = 0?
-2, 1
Let u(t) be the first derivative of t**3/3 - 9*t**2 + 81*t + 42. Factor u(w).
(w - 9)**2
Let d(y) be the third derivative of -y**5/180 - y**4/72 + y**3/9 - 6*y**2. Factor d(n).
-(n - 1)*(n + 2)/3
Let k(i) be the second derivative of -2*i**7/21 + i**5/5 - 27*i. Solve k(x) = 0 for x.
-1, 0, 1
Suppose -4*b + 3*i + 12 = 0, 3*b + 2 = -3*i + 11. Suppose 8 = 7*j - b*j. Factor -2*k**4 + k**2 - 2 + 0*k**4 + 3*k**j.
-2*(k - 1)**2*(k + 1)**2
Suppose 4*v + 20 = 4*w, -5*v + 20 = -3*w + 7*w. Suppose 0 = w*i - 3*i + 4*q + 4, 5*q = -10. Find t, given that -i + 1 - 3*t - t**2 + t = 0.
-1
Determine w so that -5*w**2 - 7*w**3 + 3*w**3 + 4*w**4 + w**2 + 4*w**5 = 0.
-1, 0, 1
Suppose 3 = 4*n - 9. Let x be (n/(-18))/((-3)/4). Determine z so that 2/9*z**2 - 2/9*z**3 - 2/9*z**4 + x*z + 0 = 0.
-1, 0, 1
Let j(c) be the second derivative of c**4/12 + c**3/3 + c**2 - 3*c. Let p(g) = 2*g**2 + 3*g + 3. Let s(r) = 5*j(r) - 2*p(r). Factor s(y).
(y + 2)**2
Let l(v) = -2*v**4 - 4*v**3 + 9*v**2 + 2*v + 5. Let w(p) = 9*p**4 + 15*p**3 - 36*p**2 - 9*p - 21. Let t(b) = 21*l(b) + 5*w(b). Factor t(o).
3*o*(o - 1)**3
Let s = 1/59 + 173/236. Determine b so that -3/2*b - 3*b**3 + 0 + s*b**4 + 15/4*b**2 = 0.
0, 1, 2
Let h = 6 + -6. Let l(v) be the third derivative of 1/96*v**4 + h*v**3 + 0 - 1/120*v**5 + 1/480*v**6 + 0*v - v**2. Factor l(d).
d*(d - 1)**2/4
Let m(w) = 2*w**3 + 3*w**2 - 5. Let i be (2/5)/((-10)/(-25)). Let s(u) = 0*u + 0*u**3 + u + i - u**2 - u**3. Let f(o) = 2*m(o) + 6*s(o). Factor f(b).
-2*(b - 1)**2*(b + 2)
Let c = -3 + 2. Let o be 0/((0 - 0) + c). Factor 0*h**2 + 1/4*h**4 + 0 + 0*h**3 + o*h.
h**4/4
Let i(f) be the first derivative of 2 - 4/9*f**2 + 2/27*f**3 + 8/9*f. Factor i(h).
2*(h - 2)**2/9
Suppose 0*y + y = 0. Solve 0*z - 1/2*z**4 + 0 + y*z**2 + 1/2*z**3 = 0.
0, 1
Let x(q) be the second derivative of -q + 0*q**4 + 0 + 0*q**3 + 0*q**2 - 1/15*q**6 - 1/10*q**5. Factor x(a).
-2*a**3*(a + 1)
Let c be (1 + -2)/((-3)/6). Let g = c - 3/2. Factor 1/2*m**4 + 1/2*m**3 + 0 - g*m**2 - 1/2*m.
m*(m - 1)*(m + 1)**2/2
Let t(i) be the second derivative of i**4/9 - 2*i**2/3 + 8*i. Find k such that t(k) = 0.
-1, 1
Let o(d) be the first derivative of -121*d**6/9 - 814*d**5/15 - 499*d**4/6 - 530*d**3/9 - 56*d**2/3 - 8*d/3 + 33. Suppose o(m) = 0. What is m?
-1, -2/11
Let v(l) be the first derivative of l**5 + 5*l**4/4 - 5*l**3/3 - 5*l**2/2 + 39. Solve v(x) = 0.
-1, 0, 1
Suppose 4*x = -0 + 12. Factor -6/11*b**4 + 0*b - 6/11*b**x - 2/11*b**5 + 0 - 2/11*b**2.
-2*b**2*(b + 1)**3/11
Let q(b) = b**3 - 4*b**2 + 3*b + 3. Let n be q(3). Suppose -2*v = 0, -3*v - 3 - n = -3*s. Solve -1/3*j**3 - 2/3*j + 0 + j**s = 0.
0, 1, 2
Let k(x) be the second derivative of x**5/25 - 2*x**4/15 + 8*x. Factor k(u).
4*u**2*(u - 2)/5
Let 0*q**4 + 4*q**2 + 6*q**3 - 4*q**4 - 5*q**4 + 11*q**4 = 0. Calculate q.
-2, -1, 0
Factor 0*d**2 - 2/3*d - 4/9 + 2/9*d**3.
2*(d - 2)*(d + 1)**2/9
Let o be 1/(2 + (-6)/4). Let -3 - 2*f + 1 - f - 4 + 3*f**o = 0. What is f?
-1, 2
Let v(o) be the first derivative of -3*o**5/25 + 3*o**4/10 + 12*o**3/5 + 21*o**2/5 + 3*o - 18. Factor v(r).
-3*(r - 5)*(r + 1)**3/5
Let z(g) = 6*g**2 - 6*g + 15. Let o(d) = -5*d**2 + 6*d - 14. Let s(n) = -5*o(n) - 4*z(n). Let f be s(8). Determine m, given that -m**4 - 26*m + m**2 + f*m = 0.
-1, 0, 1
Let 0*t + 0 - 1/2*t**4 + 0*t**3 + 1/2*t**2 = 0. What is t?
-1, 0, 1
Let j(c) be the third derivative of 6*c**2 + 1/45*c**3 + 0 + 1/90*c**4 + 0*c + 1/450*c**5. Determine d so that j(d) = 0.
-1
Suppose 3*o**2 + 4*o + 18 + 11*o + 0*o + 0*o = 0. What is o?
-3, -2
Suppose 0*c + 0 - 25/2*c**4 + 20*c**3 + 10*c**2 = 0. Calculate c.
-2/5, 0, 2
Suppose 574*a + 4*a**2 - 4 - 574*a = 0. What is a?
-1, 1
Suppose -2*u - 7*o + 2*o + 37 = 0, -u + 4*o + 12 = 0. Factor