*2 - 5*c**2 - 1.
(c - 1)*(c + 1)
Let o be (-1)/((8/(-6))/4). Determine q so that o + 18*q**3 - 3 - 3*q**2 - 15*q**3 = 0.
0, 1
Suppose -5*o + 8 + 2 = 0. Let z(k) = -1 + k**o + 4*k - 4*k. Let w(x) = 4*x**3 - 4*x**2 + 8. Let b(t) = -w(t) - 10*z(t). Factor b(u).
-2*(u + 1)**2*(2*u - 1)
Suppose -8*q - 8*q + 32 = 0. Solve 0*j + 1/4*j**q + 0 = 0.
0
Suppose j = 2*a + 5, -5*j + j + 7 = 5*a. Let u be -2 + (0 - (-7)/j). Solve u*n**4 - 4/3*n - 4/3*n**3 + 1/3 + 2*n**2 = 0.
1
Let a(b) be the second derivative of -1/135*b**6 + 0 + 1/90*b**5 + 0*b**3 - 2*b + 1/27*b**4 + 0*b**2. Suppose a(j) = 0. What is j?
-1, 0, 2
Let h(o) be the third derivative of o**6/280 - o**5/70 - 3*o**4/56 - 14*o**2. Factor h(v).
3*v*(v - 3)*(v + 1)/7
Let z(g) be the third derivative of -g**5/120 - g**4/12 - 18*g**2. Factor z(s).
-s*(s + 4)/2
Let a be 10/45 + (-154)/612. Let p = a + 71/102. Factor 2/3 + 0*u - p*u**2.
-2*(u - 1)*(u + 1)/3
Let d = -557 + 557. What is x in 3/2*x**2 + d*x + 3/2*x**3 + 0 = 0?
-1, 0
Let o = 153 - 150. Factor o*n - 2/3 - 7/3*n**2.
-(n - 1)*(7*n - 2)/3
Let d(j) be the first derivative of 0*j - 1 - 5/18*j**4 + 2/9*j**2 + 2/9*j**3. Factor d(u).
-2*u*(u - 1)*(5*u + 2)/9
Determine i so that -1/4*i**2 - 1/2*i + 0 = 0.
-2, 0
Let j(i) be the second derivative of 0 - 1/60*i**5 - 7*i - 1/12*i**4 + 0*i**2 + 0*i**3. Factor j(b).
-b**2*(b + 3)/3
Let q(l) = -l**3 + 1. Let c be q(-1). Determine s so that 0*s**3 + 2*s**3 - c*s + 2 - s**4 - 1 = 0.
-1, 1
Suppose 0 = 2*z + 2 + 14. Let t be ((-5)/(-10))/((-2)/z). What is y in 0 + 3*y - 3*y + 2*y**2 + t - 4*y = 0?
1
Let c(h) = -4*h - 3. Let s be c(-2). Suppose 0*a - 4*l = 4*a + 8, -3*a + 4*l + 29 = 0. Let -v**a + 2*v + 2 - s*v**3 + 4*v**3 - 2*v**2 = 0. What is v?
-1, 1
Suppose -2*p = -4*p - 36. Let v be ((-6)/p)/((-2)/(-12)). Factor u**2 + 4*u**2 - 7*u**v + 2*u.
-2*u*(u - 1)
Solve 1/2*o**2 + 0 + 1/2*o**3 - 1/2*o**5 + 0*o - 1/2*o**4 = 0 for o.
-1, 0, 1
Let i(v) be the third derivative of -v**5/140 + 5*v**4/168 - v**3/21 - 6*v**2. Find p such that i(p) = 0.
2/3, 1
Let s(z) be the second derivative of 1/30*z**4 + 1/50*z**5 + 0*z**2 + 3*z + 0*z**3 + 0. Determine i so that s(i) = 0.
-1, 0
Suppose -2*x = -o - 4*o + 21, -10 = -2*o. Find v, given that -1/2*v**4 + 1/2*v**x - 1/2*v**5 + 0*v + 1/2*v**3 + 0 = 0.
-1, 0, 1
Factor -9/5*d + 6/5*d**3 - 9/5*d**4 + 3/5*d**5 + 3/5 + 6/5*d**2.
3*(d - 1)**4*(d + 1)/5
Let j(c) be the third derivative of -c**5/40 + 3*c**4/16 - 11*c**2. Let j(a) = 0. Calculate a.
0, 3
Let k(o) = o + 2. Let t be k(4). Let l be t*(3 - 1)/18. Factor 0 - 2/3*a + l*a**2.
2*a*(a - 1)/3
Suppose 20 = 4*y + y. Let v = 4 + y. Factor v - 8 + u - u**3.
-u*(u - 1)*(u + 1)
Let t(c) = 12*c**4 + 120*c**3 + 290*c**2 + 286*c + 98. Let b(z) = -z**4 + z**2 + z. Let p(n) = -6*b(n) + t(n). Solve p(q) = 0 for q.
-7/3, -1
Let h(f) be the second derivative of -f**7/30 - 8*f**6/75 + 6*f**5/25 + 16*f**4/15 + 8*f**3/15 - 33*f - 1. Let h(y) = 0. Calculate y.
-2, -2/7, 0, 2
Solve 2*g**2 + 8/5 - 2/5*g**3 - 16/5*g = 0 for g.
1, 2
Let c = 0 - 0. Let r be 1 + -2 + (-44)/(-36). Find s, given that c*s - 2/9*s**2 + r = 0.
-1, 1
Let n(u) be the second derivative of 0*u**4 - 2*u + 0*u**2 + 1/165*u**6 + 0 + 1/110*u**5 + 0*u**3. Let n(f) = 0. Calculate f.
-1, 0
Let a(l) = l + 1. Let n be a(1). Let s(k) be the first derivative of -1/4*k**2 - n + 0*k - 1/2*k**3. Factor s(m).
-m*(3*m + 1)/2
Let k = -33 - -24. Let u be k/(-15)*(-4)/(-3). Solve -u*t**3 + 4/5*t + 1/5 - 1/5*t**2 = 0.
-1, -1/4, 1
Let d(o) = 4*o**3 - 2*o**2 - 4*o + 2. Let n be 6/(-27) + (-7)/9. Let i(s) = s**4 - s**2. Let a(w) = n*d(w) + 2*i(w). Factor a(l).
2*(l - 1)**3*(l + 1)
Let w(m) be the first derivative of m**4/2 - 88*m**3/21 + 75*m**2/7 - 36*m/7 - 9. Factor w(f).
2*(f - 3)**2*(7*f - 2)/7
Let b = -2185/9 - -243. Let i(d) be the first derivative of -2/9*d**3 - b*d**6 - 4 + 0*d + 2/3*d**5 + 1/3*d**2 - 1/2*d**4. What is x in i(x) = 0?
-1/2, 0, 1
Let s(q) be the second derivative of 1/10*q**3 - q + 0 - 3/5*q**2 + 1/5*q**4 - 9/100*q**5. Determine i, given that s(i) = 0.
-2/3, 1
Find a, given that 3/5*a**2 + 3/5*a + 0 = 0.
-1, 0
Let x be 164/8 - 1/2. Suppose -o = -6*o + x. Factor o*v**2 + 0 - 3*v**2 - 1.
(v - 1)*(v + 1)
Let i be (-58)/(-208) + 20/(-130). Let f(l) be the second derivative of -1/48*l**4 - i*l**2 + 0 + 1/12*l**3 + l. Factor f(t).
-(t - 1)**2/4
Let c(x) be the first derivative of -x**4/12 - 2*x**3/9 - x**2/6 - 11. Factor c(s).
-s*(s + 1)**2/3
Let t(r) be the second derivative of 1/12*r**4 - 1/90*r**6 + 0 + 1/3*r**2 + 1/60*r**5 - 5/18*r**3 - 4*r. Factor t(u).
-(u - 1)**3*(u + 2)/3
Let c be (104/7)/(-4) - (-76)/19. Factor -2/7*h**4 + 2/7*h**2 + c*h**3 + 0 - 2/7*h.
-2*h*(h - 1)**2*(h + 1)/7
Let o = 52 + -106. Let m be 5/3*o/(-45). Determine b, given that 1/2*b**4 - 1/2*b + 0 - 3/2*b**3 + 3/2*b**m = 0.
0, 1
Let l be ((-14)/(-385))/(3 - (-416)/(-140)). Determine p so that 0*p + 0 + 0*p**4 - l*p**3 - 4/11*p**2 + 18/11*p**5 = 0.
-2/3, -1/3, 0, 1
Suppose -4*s = -16, -5*s - 10 = -3*n - 24. Factor m**2 + m**2 + 4*m**2 - n*m**4 - 2 - 2*m**2.
-2*(m - 1)**2*(m + 1)**2
Let s = 7 + -3. Let m = 6 - s. Factor -5*x**4 + 0*x**5 + m*x**5 - x**3 + 5*x**5 - x**3.
x**3*(x - 1)*(7*x + 2)
Let x(v) be the first derivative of 2/3*v**3 + 8*v + 3 - 4*v**2. Factor x(o).
2*(o - 2)**2
Suppose -2*i = 2*y - 16, -5*i - 2 - 8 = -5*y. Find d, given that d**2 + 2*d + 3*d**2 - 2*d**y + 3*d**5 + 6*d**3 + 4*d**4 - d = 0.
-1, 0
Let k be (-5)/56*-10 + 87/(-116). Suppose 9/7*j**3 - 5/7*j - 3/7*j**2 - k = 0. What is j?
-1/3, 1
Factor 0*z**2 - 2*z + 2*z**2 + 0*z - 4.
2*(z - 2)*(z + 1)
Let y(v) be the third derivative of -v**6/480 + 3*v**5/80 - 9*v**4/32 - v**3/3 - 6*v**2. Let k(c) be the first derivative of y(c). Factor k(a).
-3*(a - 3)**2/4
Let y be (-180)/22 - (-10)/55. Let m be (y/(-16))/(0 + 1). Factor 0 - s**2 + s**4 + 1/2*s**3 - m*s.
s*(s - 1)*(s + 1)*(2*s + 1)/2
Let p(y) be the first derivative of -4*y**2 + 0*y - 7/2*y**4 - 32/3*y**3 + 3. Solve p(m) = 0 for m.
-2, -2/7, 0
Let k = 12 - 3. Let j = 11 - 6. Factor -f**2 + f**3 + k*f**2 - 13*f + j*f - 3*f**3.
-2*f*(f - 2)**2
Let k(d) be the first derivative of -7*d**6/300 - d**5/30 + 4*d**4/15 - 4*d**3/15 + 7*d**2/2 - 1. Let f(m) be the second derivative of k(m). Factor f(p).
-2*(p - 1)*(p + 2)*(7*p - 2)/5
Let u(s) be the third derivative of -55*s**8/48 - 85*s**7/42 + 73*s**6/24 + 89*s**5/12 + 5*s**4/6 - 10*s**3/3 - 25*s**2. Find m, given that u(m) = 0.
-1, -2/7, 2/11, 1
Factor 14*u - 3 + 49*u**3 - 3 - 52*u**3 - 5*u.
-3*(u - 1)**2*(u + 2)
Let k be 1*4 - (-2 + 2). Determine d so that -4*d - 26*d**3 - 2*d**3 + 8*d**2 + 14*d**5 + 18*d - k*d**4 - 4 = 0.
-1, 2/7, 1
Suppose -3 = 4*o + 17. Let l = o - -5. Factor -4/5*w + l - 2/5*w**2.
-2*w*(w + 2)/5
Let b(x) be the first derivative of -x**8/2800 + x**7/1050 - x**6/1800 + x**3 - 1. Let k(a) be the third derivative of b(a). Find s, given that k(s) = 0.
0, 1/3, 1
Let g = 7 - 1. Let s = 9 + g. Determine l, given that 47*l**3 + 2*l**2 + 10*l**2 - 21*l**5 + l**3 + s*l**4 = 0.
-1, -2/7, 0, 2
Let f(c) be the first derivative of -c**5/150 + 3*c**2/2 - 3. Let i(j) be the second derivative of f(j). Let i(k) = 0. What is k?
0
Let x(l) be the first derivative of l**5/5 - l**4 + l**3 + 2*l**2 - 4*l - 23. Let x(a) = 0. Calculate a.
-1, 1, 2
Let d = 7/38 - -55/114. Factor d*k**3 - 2/3*k**4 + 0 + 0*k + 0*k**2.
-2*k**3*(k - 1)/3
What is w in -12*w**3 - 6*w**2 - 10 + 38 + 3*w**5 - 22 + 9*w = 0?
-1, 1, 2
Let b(j) be the first derivative of -3*j**5 - 5*j**4/4 + 5*j**3 + 5*j**2/2 - 1. Factor b(f).
-5*f*(f - 1)*(f + 1)*(3*f + 1)
Let s(b) be the second derivative of -4*b**6/15 + b**5/5 + 2*b**4/3 - 2*b**3/3 + 6*b. Factor s(g).
-4*g*(g - 1)*(g + 1)*(2*g - 1)
Let g(o) be the second derivative of -o**5/5 + 2*o**3/3 - 5*o. Factor g(z).
-4*z*(z - 1)*(z + 1)
Let n(b) be the second derivative of 0 + 4/3*b**4 + 5/3*b**3 + b**2 + 2/5*b**5 + b. Factor n(y).
2*(y + 1)*(2*y + 1)**2
Let n(g) be the first derivative of 0*g**4 - 2/5*g**3 + 3/10*g**2 + 0*g + 6/25*g**5 - 1/10*g**6 + 2. Determine s so that n(s) = 0.
-1, 0, 1
Let v(t) be the first derivative of 1/3*t**2 - 1/9*t**3 - 1/3*t + 3. Let v(m) = 0. What is m?
1
Let q(j) be the second derivative of j**9/6048 - j**7/1680 - j**3/6 - 3*j. Let g(f) be the second derivative of q(f). Let g(d) = 0. Calculate d.
-1, 0, 1
Let