irst derivative of -2*u**6/15 - 3*u**5/4 - 4*u**4/3 - u**3/2 + u**2 - 3*u + 1. Let z(b) be the first derivative of c(b). Factor z(m).
-(m + 1)**2*(m + 2)*(4*m - 1)
Let r(p) be the third derivative of 1/6*p**3 - p**2 + 1/16*p**4 - 1/10*p**5 + 0 + 0*p + 7/240*p**6. Factor r(v).
(v - 1)**2*(7*v + 2)/2
Let b be 20/6 + (-1)/3. Suppose -5*x + 7 = -b. Solve h**2 - x*h + 3 - 4 + 2 = 0.
1
Let l(i) be the second derivative of -i**7/56 - i**6/30 + i**5/20 + i**4/8 - i**3/24 - i**2/4 - 6*i. Let l(s) = 0. What is s?
-1, 2/3, 1
Factor -24*z**3 + 3*z - 18*z**2 - 10*z**4 - 8*z + z.
-2*z*(z + 1)**2*(5*z + 2)
Let x be (-44)/24 + (-2)/12. Let c = 2 + x. Factor 3/2*f**3 - 1/2*f + 0 + c*f**2 - f**4.
-f*(f - 1)**2*(2*f + 1)/2
Let q be 88/10 + (-4)/(-20). Let 4*v**4 - 4 - 12*v**2 + 2 - 6*v**5 + 10*v + v**4 + q*v**4 - 4*v**3 = 0. What is v?
-1, 1/3, 1
Let i(q) be the third derivative of -q**8/672 + q**7/420 + 10*q**2. Factor i(c).
-c**4*(c - 1)/2
Let o(h) = -2*h**3 - 6*h**2 + 5*h + 5. Let d(t) = -t - 1. Let n(i) = 5*d(i) + o(i). Suppose n(u) = 0. Calculate u.
-3, 0
Let c be (-4)/106 - (-2)/6. Let h = c - -2/53. Solve 2/3*d + h + 1/3*d**2 = 0.
-1
Let r(b) be the third derivative of 16*b**7/315 - 2*b**6/9 - 23*b**5/90 - b**4/12 - 2*b**2. Factor r(o).
2*o*(o - 3)*(4*o + 1)**2/3
Let v(g) be the third derivative of -g**7/210 - g**6/120 + g**5/60 + g**4/24 - 8*g**2. Factor v(s).
-s*(s - 1)*(s + 1)**2
Let j(b) be the first derivative of 4*b**3/15 + 7*b**2/5 + 6*b/5 + 10. Suppose j(a) = 0. What is a?
-3, -1/2
Let o = -14 + 16. Find c, given that 0 - 4/3*c + 2/3*c**o = 0.
0, 2
Let s be (-12)/(-2) + 10/((-20)/6). Let h(k) be the second derivative of 0*k**2 + 3*k - 1/6*k**s + 1/12*k**4 + 0. Factor h(d).
d*(d - 1)
Let r(x) be the first derivative of -2/5*x**5 + 1/2*x**4 - 6 + 2/3*x**3 - x**2 + 0*x. Factor r(n).
-2*n*(n - 1)**2*(n + 1)
Let r be (1 - 2)/(7/(-14)). Suppose 0 - 18/7*m**4 - r*m**2 + 30/7*m**3 + 2/7*m = 0. What is m?
0, 1/3, 1
Let w be (-10)/4 - 1/(-2). Let i be w/3 + 1 - 0. Factor 0 + 0*a - i*a**2 - 1/3*a**3.
-a**2*(a + 1)/3
Let z = 12 + -12. Suppose 3*g = -z*g. Find p such that 1/2 + 0*p**3 - p**2 + 1/2*p**4 + g*p = 0.
-1, 1
Let a be (-11)/(-3) - (-1)/3. Suppose -a = -3*r + 2. Suppose 2*l**2 + 2*l + 4*l - r*l = 0. What is l?
-2, 0
Let l(y) = -y**2 + 2*y - 1. Let r be l(1). Let n(d) be the first derivative of d - 1 + r*d**2 - 1/3*d**3. Factor n(h).
-(h - 1)*(h + 1)
Let m(l) be the third derivative of l**7/945 + l**6/180 - l**4/27 + 7*l**2. Solve m(b) = 0 for b.
-2, 0, 1
Let d(h) be the second derivative of -h**5/60 + h**4/12 - h**3/9 + 12*h. Factor d(c).
-c*(c - 2)*(c - 1)/3
Let r = 128 - 128. Let x(z) be the second derivative of r*z**2 + 0 + z + 1/6*z**4 - 1/10*z**5 + 0*z**3. What is w in x(w) = 0?
0, 1
Find a such that -1009*a**2 + 1011*a**2 + 3*a**3 - a**4 + 2*a**4 = 0.
-2, -1, 0
Let y = 7 + -5. Factor -207 - r**5 - r + 207 + y*r**3.
-r*(r - 1)**2*(r + 1)**2
Let a be ((-33)/36 - 1)*2. Let g = -43/30 - a. Factor -8/5*d + 2/5*d**4 + g*d**2 - 8/5*d**3 + 2/5.
2*(d - 1)**4/5
Suppose -5*p + 22 = y, 3*y = 5*p + 8 - 42. Suppose -3 = -4*s + p. Determine x, given that -x**4 - 4*x**3 - 3*x**s + 6*x - 8*x - 2*x**2 = 0.
-2, -1, 0
Let x(d) = -5*d + 32. Let o(a) = -a + 8. Let j(r) = 9*o(r) - 2*x(r). Let v be j(-5). Let 4*f**3 + 3*f**4 + f**v - 6*f + 0*f**3 + f**3 - 3 = 0. Calculate f.
-1, 1
Let p = 10 + 0. Suppose -5*n + 8*d + 10 = 3*d, 5*n - p = 2*d. What is b in 1/2*b**n + 0 - 1/2*b = 0?
0, 1
Suppose -3*u + 30 = -27. Factor -2*y + 15*y**5 + 2*y - u*y**5 - 8*y**4.
-4*y**4*(y + 2)
Suppose 13*k + 6*k = 7*k. Let f(d) be the second derivative of -3*d - 1/90*d**5 + k*d**2 + 0*d**3 + 0*d**4 + 1/135*d**6 + 0. Factor f(v).
2*v**3*(v - 1)/9
Let h(w) be the second derivative of 1/360*w**6 - 2*w + 0 + 1/6*w**4 - 1/6*w**3 + 0*w**2 - 1/30*w**5. Let z(u) be the second derivative of h(u). Solve z(i) = 0.
2
Factor 3*i**4 + 6*i**2 + 2*i**3 - i**5 - i**3 - 5*i**2 - 4*i**2.
-i**2*(i - 3)*(i - 1)*(i + 1)
Let q(l) be the second derivative of -l**6/30 - l**5/15 - l**4/36 + 3*l. Factor q(a).
-a**2*(a + 1)*(3*a + 1)/3
Let -9 - 2*z + 8*z**2 + 4*z**3 - 2*z + 1 + 0 = 0. What is z?
-2, -1, 1
Let h = -4 - -6. Suppose 2*o - 5 - 3 = -4*a, -h*o = -2*a - 2. Let d(w) = -5*w**3 + 3*w**2 + 2. Let r(z) = z**3 - 1. Let f(s) = a*d(s) + 6*r(s). Factor f(q).
(q - 1)*(q + 2)**2
Let f(m) = -m + 8. Let g be f(6). Suppose 0 = 6*s - 3*s + 3, 1 = 3*p + 5*s. Let 4*k**3 + 2*k**4 + p*k**2 + 0*k**2 + 0*k**g = 0. What is k?
-1, 0
Let r(n) be the first derivative of n**4 + 8*n**3 - 3. Let r(l) = 0. What is l?
-6, 0
Let x(u) be the second derivative of u**4/4 + 3*u**3/2 - 5*u. Determine z so that x(z) = 0.
-3, 0
Let m(z) = 1. Let d(p) = -p + 4. Let l(o) = -d(o) + m(o). Let i be l(5). Suppose 0 + 0*b + 1/4*b**i + 1/4*b**3 = 0. What is b?
-1, 0
Let m(i) = i**4 - 6*i**3 - 6*i**2 - 4*i + 1. Let v(o) = -o**4 + o**3 - 1. Let a(k) = m(k) + 2*v(k). Factor a(z).
-(z + 1)**4
Let h(x) be the second derivative of 0*x**4 + x + 1/120*x**6 + 1/2*x**2 + 0*x**3 + 0*x**5 + 0. Let l(b) be the first derivative of h(b). Solve l(w) = 0 for w.
0
Let f(h) be the second derivative of h**6/90 - 7*h**5/60 + 5*h**4/12 - h**3/2 - 17*h. Factor f(b).
b*(b - 3)**2*(b - 1)/3
Let x(g) be the first derivative of -g**4/6 + 4*g**3/9 - g**2/3 - 7. Find y such that x(y) = 0.
0, 1
Let f(h) be the second derivative of -h**9/5040 + h**8/1344 - h**7/1260 + h**4/6 + 2*h. Let q(v) be the third derivative of f(v). Factor q(s).
-s**2*(s - 1)*(3*s - 2)
Let t(d) = -3*d. Let w be t(-1). What is c in -3*c**4 - 7*c**5 + 4*c**3 - c**4 + w*c**5 + 4*c**2 = 0?
-1, 0, 1
Let s = 990 + -988. Factor 0 - 3/8*g + 3/8*g**s.
3*g*(g - 1)/8
Let a(w) be the first derivative of -w**3/12 - 3*w**2/8 - w/2 - 25. Factor a(j).
-(j + 1)*(j + 2)/4
Let u = 1 - -1. Let c be u + (0/(-3))/(-2). Solve 24 - 12*i - 30*i**2 - c*i**3 - 5*i**3 - 2*i**3 = 0 for i.
-2, 2/3
Let i(x) = -x**3 - 11*x**2 - 11*x - 8. Let w be i(-10). Determine d so that -8*d**3 + 112 + 12*d**3 + 144 + 48*d**w + 192*d = 0.
-4
Let r = -109 + 74. Let x be 2/11 - r/231. Factor x*v**2 + 0 - 1/3*v.
v*(v - 1)/3
Suppose -3*d = -0*t - 2*t + 7, -3*d + t = 2. Let j = d + 2. Find s such that -5*s**j + 7*s**5 + 4*s**3 - 6*s**5 = 0.
-1, 0, 1
Let l(t) = t**3 + t**2 - 3*t - 2. Let a be l(-2). Determine g, given that -5*g**2 - g + a*g**3 + 3*g**2 - g**3 = 0.
-1, 0
Let i(j) be the third derivative of j**5/15 + j**4/2 + 4*j**3/3 - 39*j**2. Factor i(y).
4*(y + 1)*(y + 2)
Suppose 0*f**3 + 0*f - 1/4*f**5 + 3/4*f**4 + 0*f**2 + 0 = 0. Calculate f.
0, 3
Let a(u) be the third derivative of u**7/210 + u**6/40 + u**5/30 + 7*u**2. Factor a(t).
t**2*(t + 1)*(t + 2)
Let z = 47 - 43. Let g(m) be the second derivative of 0 + 0*m**3 - 1/189*m**7 + 0*m**z + 0*m**5 + 0*m**2 + 0*m**6 - m. Determine s, given that g(s) = 0.
0
Let t(o) be the third derivative of o**8/1680 - 2*o**7/525 + o**6/100 - o**5/75 + o**4/120 + 2*o**2. Factor t(l).
l*(l - 1)**4/5
Determine o so that -7 + 9*o - 4*o + 5*o**2 + 1 - 4 = 0.
-2, 1
Let n(p) be the first derivative of -3*p**4/4 - p**3 + 3*p**2 - 13. Factor n(i).
-3*i*(i - 1)*(i + 2)
Let d(v) = -4*v**3 + 29*v**2 + 55*v + 37. Let g(o) = 2*o**3 - 14*o**2 - 28*o - 18. Let r(q) = 4*d(q) + 10*g(q). Factor r(a).
4*(a - 8)*(a + 1)**2
Suppose 2*p - 3*p = -7. Let v(s) = s - 4. Let u be v(p). Factor 0 + 0*g - 4/5*g**2 + 6/5*g**4 - 2/5*g**u.
2*g**2*(g - 1)*(3*g + 2)/5
Let f = 5 - 3. Find y, given that 11*y - 11*y - f*y**2 = 0.
0
Suppose 16/15*z**3 - 2/15*z**4 + 64/15*z - 32/15 - 16/5*z**2 = 0. What is z?
2
Let r(y) be the second derivative of -3*y**5/20 + y**4/2 + y**3/2 - 3*y**2 - 6*y. Factor r(z).
-3*(z - 2)*(z - 1)*(z + 1)
Find g, given that -2*g + 8/5 + 2/5*g**2 = 0.
1, 4
Let m(i) be the third derivative of i**5/30 - i**4/6 - 3*i**2. Factor m(c).
2*c*(c - 2)
Suppose j - 4 = 4*y, 3*y + 0 = 3*j + 6. Let n be (-3)/y*6/18. Factor t**3 + t**2 - 3/2*t**4 + 1/2*t**5 - 3/2*t + n.
(t - 1)**4*(t + 1)/2
Find a, given that 75/4*a**2 + 3 + 15*a = 0.
-2/5
Factor -12*r**4 + 4*r**3 - 5*r**4 - r**4.
-2*r**3*(9*r - 2)
Factor -2/5*t**2 + 4/5 - 2/5*t.
-2*(t - 1)*(t + 2)/5
Let j = 23 + -19. Suppose j*s = l - 4, 2*l + 1 = -s - 0*s. Solve l - 8/9*n**3 + 26/9*n**4 - 8/9*n**2 + 0*n - 10/9*n**5 = 0.
-2/5, 0, 1, 2
Let c be (-3)/((-33)/(-31)) - 51/(-17). Solve c*a**2 + 0 + 6/