t s(b) be the first derivative of d*b**4 + 16/25*b**5 - 2/5*b + 1 - 23/15*b**3 - 3/2*b**2. Solve s(g) = 0 for g.
-2, -1/4, 1
Suppose n = 6*n - 25. Factor d - 3 + d**2 - 2*d**2 - n*d.
-(d + 1)*(d + 3)
Factor 0*d + 0 - 3/8*d**3 - 3/4*d**2 + 3/8*d**4.
3*d**2*(d - 2)*(d + 1)/8
Let k = -119 - -1191/10. Let d(q) be the second derivative of 1/12*q**4 + 0 + 1/42*q**7 + 0*q**2 + 3/20*q**5 + k*q**6 + 3*q + 0*q**3. Factor d(w).
w**2*(w + 1)**3
Suppose -3*c = -2*c - 3. Let r = c - 0. What is b in -6*b + 3*b**3 + 2*b**2 - r*b**2 + 3*b**5 + 9*b**4 - 8*b**2 = 0?
-2, -1, 0, 1
Let b be (11 - 13)/(-28 + (0 - 2)). Let o(j) be the third derivative of 0*j**3 - b*j**5 + 0*j - 1/60*j**6 + 0 + 0*j**4 - 2*j**2. Factor o(n).
-2*n**2*(n + 2)
Let w(p) be the first derivative of 0*p**3 - 1/20*p**4 + 2 + 2/5*p + 3/10*p**2. Factor w(y).
-(y - 2)*(y + 1)**2/5
Let x(k) be the third derivative of 0*k - 7*k**2 + 0 + 1/40*k**4 - 1/75*k**5 + 0*k**3. Factor x(f).
-f*(4*f - 3)/5
Suppose u - 102 = -102. Let -1/2*w**3 + 0 + w**2 + u*w = 0. What is w?
0, 2
Let y(s) be the third derivative of -s**5/450 - s**4/10 - 9*s**3/5 + 55*s**2. Factor y(c).
-2*(c + 9)**2/15
Let q(j) = 5*j**4 + j**3 + j**2 + 5*j - 3. Let r(o) = 6*o + 2*o**2 + 2*o**3 - 1 + 0*o**4 - 3 + 6*o**4. Let b(v) = 4*q(v) - 3*r(v). Solve b(x) = 0 for x.
-1, 0, 1
Factor -2/3 + 1/3*f + 1/3*f**2.
(f - 1)*(f + 2)/3
Let z(b) be the second derivative of 0*b**4 + 0*b**3 - 1/84*b**7 + 0*b**2 + 6*b + 1/20*b**6 + 0 - 1/20*b**5. Factor z(m).
-m**3*(m - 2)*(m - 1)/2
Let w(k) be the first derivative of 3 + 4*k**4 + 1 - 2*k**2 - 3*k**4. What is n in w(n) = 0?
-1, 0, 1
Let y(g) = -g**4 - 5*g**3 + 31*g**2 + 48*g + 18. Let h(f) = 3*f**3 - 15*f**2 - 24*f - 9. Let p(l) = 5*h(l) + 3*y(l). Determine x, given that p(x) = 0.
-1, 3
Let a(b) be the third derivative of b**9/52920 - b**8/7840 + b**7/2940 - b**6/2520 - b**4/12 - 3*b**2. Let w(u) be the second derivative of a(u). Factor w(i).
2*i*(i - 1)**3/7
Suppose 0 = 7*i - 4*i. Let x be 0 - (i + (-5)/15). Factor -2/3*y**3 + 2/3*y + 0*y**2 + x*y**4 - 1/3.
(y - 1)**3*(y + 1)/3
Let g(i) be the second derivative of -i**6/540 + 3*i**2/2 + 2*i. Let v(c) be the first derivative of g(c). Factor v(n).
-2*n**3/9
Let l(p) = p**2 - 9*p + 5. Let i be l(9). Suppose 3*a + i*c + 10 = -2*a, 2*c = 3*a - 14. What is u in 0 - 1/3*u + 0*u**a + 2/3*u**3 + 0*u**4 - 1/3*u**5 = 0?
-1, 0, 1
Let s(k) be the first derivative of -k**6/2 - 33*k**5/20 - 27*k**4/16 - k**3/4 + 3*k**2/8 - 8. Factor s(m).
-3*m*(m + 1)**3*(4*m - 1)/4
Suppose 0 = -5*j - 2 + 17. Factor 0*h - 2/7*h**j + 0*h**2 + 0.
-2*h**3/7
Factor 10*i**2 + 25*i**3 + 16*i**5 + 10*i**2 - i**3 - 36*i**4 - 24*i**2.
4*i**2*(i - 1)**2*(4*i - 1)
Let m be 10/6 + (-3)/(-9). Let y be (-81)/(-90) - 2/5. Factor -1/2*x**m - y + x.
-(x - 1)**2/2
Let j(k) be the first derivative of 4*k**5/5 + k**4 - 16*k**3/3 - 8*k**2 + 33. Determine m, given that j(m) = 0.
-2, -1, 0, 2
Let z(m) be the first derivative of m**6/3 - m**4/2 - 10. Factor z(b).
2*b**3*(b - 1)*(b + 1)
Let r(i) be the first derivative of -13/15*i**3 + 4/5*i - 1/4*i**4 - 2/5*i**2 + 7. Let r(f) = 0. Calculate f.
-2, -1, 2/5
Factor -14/9*l - 2/3*l**3 + 16/9*l**2 + 4/9.
-2*(l - 1)**2*(3*l - 2)/9
Let c(y) be the third derivative of -y**7/1155 + y**6/330 + y**5/330 - y**4/66 + 30*y**2. Determine i, given that c(i) = 0.
-1, 0, 1, 2
Let a(s) be the first derivative of s**3 - 4 + 7/12*s**4 - 4/3*s - 2*s**2. Factor a(f).
(f - 1)*(f + 2)*(7*f + 2)/3
Let t(z) = -221*z**2 + 119*z - 23. Let v(q) = 73*q**2 - 40*q + 8. Let f(d) = -4*t(d) - 11*v(d). Factor f(u).
(9*u - 2)**2
Factor -1/3*q**4 + 0 + 4/3*q**3 + 2/3*q - 5/3*q**2.
-q*(q - 2)*(q - 1)**2/3
Let v be (((-6)/2 - -3)/2)/(-1). Factor 0 + v*n - 1/4*n**3 - 1/4*n**2.
-n**2*(n + 1)/4
Let c(z) = -z**2 - 7*z + 11. Let v be c(-8). Factor 0*l - 3*l**3 - v*l + 30*l**2 - 24*l**2.
-3*l*(l - 1)**2
Let p(z) be the first derivative of 0*z**2 - 3/16*z**4 + 0*z**3 + 0*z + 3/20*z**5 - 1. Solve p(w) = 0.
0, 1
Find t, given that 2 - 3*t**3 + 8 + 2 - 24*t + 15*t**2 = 0.
1, 2
Determine n so that 3/5*n**2 - 3/5*n + 3/5*n**3 - 3/5 = 0.
-1, 1
Factor -2*c - 8*c**2 + 3*c**3 + c**3 - 2*c + 8 + 0*c**2.
4*(c - 2)*(c - 1)*(c + 1)
Let s(x) be the third derivative of -x**5/20 + 3*x**4/4 - 9*x**3/2 + 7*x**2. Factor s(g).
-3*(g - 3)**2
Let i(z) be the second derivative of z**6/600 - z**5/100 + 7*z**2/2 + 2*z. Let y(c) be the first derivative of i(c). Factor y(v).
v**2*(v - 3)/5
Let q(f) = f**4 - 3*f**3 - 4*f. Let u(j) = j**4 - 2*j**3 - 3*j. Suppose r + r - 8 = 0. Let a(v) = r*u(v) - 3*q(v). Factor a(d).
d**3*(d + 1)
Let g(n) be the first derivative of 0*n**3 - 3 + 2*n - 1/8*n**4 + 3/4*n**2. Let h(r) be the first derivative of g(r). Let h(d) = 0. What is d?
-1, 1
Factor 34/7*k**2 + 78/7*k**3 + 0 + 22/7*k**5 + 4/7*k + 10*k**4.
2*k*(k + 1)**3*(11*k + 2)/7
Let c(o) = -2*o**2 - 13*o + 47. Let i be c(-9). Factor 0*l**i - 3/2*l**4 + 3/2 + 3*l - 3*l**3.
-3*(l - 1)*(l + 1)**3/2
Factor -3/5*b**2 + 1/5*b**3 + 0 - 4/5*b.
b*(b - 4)*(b + 1)/5
Factor -4/19*w**4 + 0 - 2/19*w**3 - 2/19*w**5 + 0*w + 0*w**2.
-2*w**3*(w + 1)**2/19
Suppose -1/4*x**5 + 0*x**2 - 1/4*x**3 + 0 + 0*x - 1/2*x**4 = 0. What is x?
-1, 0
Suppose 0 = -4*s - 18 + 82. Suppose -22*h**2 - 5*h**2 + 2*h - 3 + s*h = 0. What is h?
1/3
Let k = -889 + 7993/9. Let p = k + 41/36. Solve 0 - 1/2*v**2 + p*v + 1/4*v**3 = 0 for v.
0, 1
Suppose -5*b = -5*g - 35, 5*b + 3*g = 7*g + 33. Suppose k - b*k + 8 = 0. Factor 2/5*x - 2/5*x**3 - 2/5*x**4 + 2/5*x**k + 0.
-2*x*(x - 1)*(x + 1)**2/5
Let p(w) be the second derivative of -w**4/18 + w**3/3 - 13*w. Factor p(n).
-2*n*(n - 3)/3
Let j(a) = 23*a**4 + 41*a**3 - 15*a**2 - 41*a - 3. Let h(b) = 68*b**4 + 124*b**3 - 44*b**2 - 124*b - 8. Let q(t) = -5*h(t) + 16*j(t). Factor q(s).
4*(s - 1)*(s + 1)**2*(7*s + 2)
Let j = -24 + 3. Let u be 6/j - (-44)/56. Solve -1/2*a - u + a**2 = 0 for a.
-1/2, 1
Let z(j) be the first derivative of -1/8*j**2 + 0*j - 2 - 1/12*j**3. Determine c so that z(c) = 0.
-1, 0
Let o = -1 - -4. Factor -x**4 + 0*x**4 - 4*x**5 + 6*x**2 + x**o - 5*x**2 + 3*x**5.
-x**2*(x - 1)*(x + 1)**2
Let 3/8*a**3 + 3/8*a + 3/4*a**2 + 0 = 0. What is a?
-1, 0
Let u(k) be the first derivative of 1/6*k**6 - 1/3*k**3 + 0*k**2 + 0*k + 1/5*k**5 + 2 - 1/4*k**4. Determine n so that u(n) = 0.
-1, 0, 1
Let y = -44 - -44. Let v(z) be the third derivative of 0 + 0*z**3 - 2*z**2 + y*z + 0*z**5 + 1/120*z**6 + 0*z**4. Let v(a) = 0. Calculate a.
0
Let b(s) = -s**3 - 9*s**2 - 8*s + 2. Let d be b(-8). What is i in -i + 2*i**2 + 0*i**d - 3*i**2 + i**3 + i**4 = 0?
-1, 0, 1
Let p(v) be the second derivative of -1/70*v**5 + 1/7*v**3 + 0*v**4 + 0 - 2/7*v**2 - 2*v. Suppose p(i) = 0. Calculate i.
-2, 1
Let z(n) be the second derivative of -n**6/120 + n**4/2 - n**3/3 + 2*n. Let x(q) be the second derivative of z(q). Factor x(f).
-3*(f - 2)*(f + 2)
Factor -2*k - 3 + k**2 + 2*k - 2*k.
(k - 3)*(k + 1)
Suppose 0 = -2*x - 3*x + 20. Let -3/4*l**x + 3/4 + 3/2*l - 3/2*l**3 + 0*l**2 = 0. What is l?
-1, 1
Suppose -a = -0*y + 3*y - 5, -3*a = -5*y - 1. Suppose 6*d - 16 = a*d - 2*o, 0 = -2*d - 5*o + 16. Factor 1/4*f + 1/4*f**4 - 1/4*f**d + 0 - 1/4*f**2.
f*(f - 1)**2*(f + 1)/4
Let h(c) be the third derivative of -c**8/224 + c**7/28 - 3*c**6/40 - c**2 - 3*c. Factor h(p).
-3*p**3*(p - 3)*(p - 2)/2
Let s = -167 + 170. Factor -1/3*i + 1/3*i**4 - i**2 + 2/3 + 1/3*i**s.
(i - 1)**2*(i + 1)*(i + 2)/3
Find j, given that 45*j + 44 + 18*j**3 - 44 - 12*j**2 - 43*j = 0.
0, 1/3
Suppose 16/7*m**4 + 4/7 - 20/7*m**2 + 12/7*m - 12/7*m**3 = 0. Calculate m.
-1, -1/4, 1
Let c(q) be the second derivative of q**5/5 + 2*q**4/3 - 14*q**3/3 + 8*q**2 - 19*q. Factor c(a).
4*(a - 1)**2*(a + 4)
Let n(b) be the second derivative of 0*b**2 + 1/3*b**3 + 0*b**4 + 1/1800*b**6 + 0 + 1/600*b**5 + b. Let y(x) be the second derivative of n(x). Factor y(r).
r*(r + 1)/5
Let s(i) be the second derivative of -3/8*i**4 + 0 + 1/2*i**2 - i**3 - 1/20*i**5 - 2*i. Let u(w) be the first derivative of s(w). Factor u(m).
-3*(m + 1)*(m + 2)
Factor 10/13 + 2/13*t**2 - 12/13*t.
2*(t - 5)*(t - 1)/13
Let x be 6/(-4 + 22/4). Factor u - u**5 + x*u**5 + 2*u - 6*u**3.
3*u*(u - 1)**2*(u + 1)**2
Let q = -13 - -15. Let r(a) be the first derivative of -1/4*a**q + 1/8*a**4 + 0*a**3 + 1/4*a - 1 - 1/20*a**5. Determine c, given that r(c) = 0.
-1, 1
