 1)**2
Let t(j) be the first derivative of 3*j**4/16 + 3*j**3/4 + 3*j**2/4 + 5. Factor t(k).
3*k*(k + 1)*(k + 2)/4
Suppose -b - 6 = -0*b. Let l(j) = -j**3 - 5*j**2 + 6*j + 2. Let q be l(b). Factor -10*n**2 - 10*n**4 - 9*n**2 + 5*n**q - 18*n**3 - 2*n**5 + 2*n - 6*n.
-2*n*(n + 1)**3*(n + 2)
Suppose -8*x + 3*x = -75. Let u be 4 - (-4 + 117/x). Factor 3/5*n**2 - n + 1/5*n**3 - u*n**4 + 2/5.
-(n - 1)**3*(n + 2)/5
Let w(s) = s - 4. Let r be w(4). Factor 0*k**2 + 0*k**4 + 4/3*k**3 + r - 2/3*k**5 - 2/3*k.
-2*k*(k - 1)**2*(k + 1)**2/3
Let w(r) be the first derivative of -r**7/7 - 2*r**6/15 + 3*r**5/10 + r**4/3 + 3*r - 3. Let o(j) be the first derivative of w(j). Find c, given that o(c) = 0.
-1, -2/3, 0, 1
Let h(t) be the second derivative of -8/15*t**3 - 16/5*t**2 - 3*t + 0 - 1/30*t**4. Factor h(j).
-2*(j + 4)**2/5
Let z = 184 + -365/2. Factor 0 + 9/2*h**3 + z*h + 9/2*h**2 + 3/2*h**4.
3*h*(h + 1)**3/2
Let k(i) = -3*i**4 + 6*i**3 + 12*i**2 - 15*i - 15. Let r(b) = b**2 - b - 1. Let t(n) = -k(n) + 15*r(n). Factor t(h).
3*h**2*(h - 1)**2
Let j = -3 + 5. Solve 2*m - 6*m**4 + 4*m**4 - 3*m**3 - m**4 + 3*m**j - 3*m**5 - 4*m**4 = 0.
-1, 0, 2/3
Suppose -2*t**2 + 3*t**2 - 2*t**2 = 0. What is t?
0
Let f = 93 + -65. Let y = f - 14. Factor 34/3*w**3 - 10/3*w**4 + 22/3*w - y*w**2 - 4/3.
-2*(w - 1)**3*(5*w - 2)/3
Let u(n) be the first derivative of n**8/10080 - n**7/2520 + n**6/2160 - 2*n**3/3 - 2. Let b(p) be the third derivative of u(p). Find f such that b(f) = 0.
0, 1
Factor -8*x + 1 - 2*x**2 + 1 - 10.
-2*(x + 2)**2
Let y(r) be the first derivative of -r**4/20 - r**3/3 - 7*r**2/10 - 3*r/5 + 6. Factor y(z).
-(z + 1)**2*(z + 3)/5
Let s(y) = y**3 + 5*y**2 + 3*y - 1. Let t be s(-4). Factor -x**5 + 2*x**4 - 15*x**t - 2*x**2 + 15*x**3 + x.
-x*(x - 1)**3*(x + 1)
Let v(a) = 5*a**3 - a**2 - 3*a + 1. Suppose o + 0 = 1. Let i(m) = -m**3 - m**2 + 1. Let l(p) = o*v(p) + 2*i(p). Factor l(c).
3*(c - 1)**2*(c + 1)
Suppose 28*a - 113 = -29. Factor -1 - 1/4*o**4 + o + 3/4*o**2 - 1/2*o**a.
-(o - 1)**2*(o + 2)**2/4
Suppose -35 = -0*a - 5*a. Let j = a - 7. Suppose 4/3*w**2 - 2/3 - 2/3*w**4 + 0*w + j*w**3 = 0. What is w?
-1, 1
Let w(g) = -8*g**5 + 4*g**4 + 8*g**3 - 4*g**2 - 4*g. Let y(q) = -q**5 + q**4 - q**2. Let b(i) = -w(i) + 4*y(i). Let b(r) = 0. What is r?
-1, 0, 1
Let 4*x - 16/3 - 2/3*x**2 = 0. Calculate x.
2, 4
Let o = 99 + -95. Factor 1/4*r**3 - 1/4*r + 1/2 + 1/4*r**o - 3/4*r**2.
(r - 1)**2*(r + 1)*(r + 2)/4
Let q be (-68)/(-7) + 12/42. Let u be -1 + (36/q - 1). Find r such that -28*r**3 - 138/5*r**2 - u - 56/5*r - 10*r**4 = 0.
-1, -2/5
Let s(r) be the third derivative of -r**6/900 - r**5/450 + 12*r**2. Find c such that s(c) = 0.
-1, 0
Let o be (1 - 2)/(-4 - -3). Let v(r) = r. Let f(j) = 2*j. Let t(y) = f(y) - 3*v(y). Let p(w) = w**2 + 2*w. Let n(u) = o*p(u) + 2*t(u). What is z in n(z) = 0?
0
Let r(f) be the first derivative of f - 1/72*f**4 - 4 - 1/6*f**3 - 3/4*f**2. Let j(u) be the first derivative of r(u). Factor j(m).
-(m + 3)**2/6
Let x(z) be the second derivative of 1/4*z**2 + 0*z**5 + 3*z + 0 + 1/60*z**6 - 1/12*z**4 + 0*z**3. Find c such that x(c) = 0.
-1, 1
Suppose f = 27 - 29. Let v = f + 5. Factor -2/7 + 2/7*t**2 - 4/7*t**v + 4/7*t.
-2*(t - 1)*(t + 1)*(2*t - 1)/7
Let m = 1069/21 - 354/7. Factor m + 1/6*w**5 + 8/3*w**2 + 3/2*w + 7/3*w**3 + w**4.
(w + 1)**4*(w + 2)/6
Suppose -3*q - 1 = -19. Let g(c) be the second derivative of -1/5*c**5 + 0 - 1/5*c**q + c**2 - 3*c + c**3 - 1/21*c**7 + 1/3*c**4. Factor g(n).
-2*(n - 1)*(n + 1)**4
Let v(k) be the third derivative of k**6/40 + k**5/4 + k**4/2 - 30*k**2. Determine r so that v(r) = 0.
-4, -1, 0
Suppose 0 = r - 7 + 3. Let y(t) = 3*t**2 - 4*t**2 - 3*t + r*t. Let o(k) = -7*k**2 + 3*k. Let x(z) = o(z) - 5*y(z). Factor x(f).
-2*f*(f + 1)
Let f(r) be the first derivative of -2*r**5/5 - r**4/2 + 2*r**3/3 + r**2 + 1. Factor f(q).
-2*q*(q - 1)*(q + 1)**2
Let l(z) be the second derivative of -z**6/180 + z**5/40 - z**4/24 + z**3/36 + 17*z. Factor l(y).
-y*(y - 1)**3/6
Suppose 0 = -h - 2*t - 3, -5*h + 1 = -2*h + t. Let v be -2*(h - (-1 - -4)). Factor -3*g**3 - 2*g**2 + v*g**2 + g**3.
-2*g**2*(g - 1)
Factor 2/11*y**4 + 0 - 2/11*y - 2/11*y**2 + 2/11*y**3.
2*y*(y - 1)*(y + 1)**2/11
Let w(s) be the first derivative of s**6/3 + 2*s**5/5 - 3*s**4/2 - 2*s**3/3 + 2*s**2 + 9. Let w(d) = 0. What is d?
-2, -1, 0, 1
Suppose -67*z + 104 = -15*z. Factor 0 + 9/4*i + 1/4*i**3 - 3/2*i**z.
i*(i - 3)**2/4
Let l(p) be the first derivative of p**6/75 - p**4/30 - p - 1. Let m(a) be the first derivative of l(a). Let m(z) = 0. Calculate z.
-1, 0, 1
Let j = 3 - 0. Factor 0*q**3 + 2*q**2 - 6*q**j + 4 - 5*q + 14*q**2 - 9*q.
-2*(q - 1)**2*(3*q - 2)
Let f(p) be the first derivative of 0*p + p**3 + 3/4*p**4 + 0*p**2 + 1. Find a, given that f(a) = 0.
-1, 0
Suppose 4*h = -12 - 0. Let w be h/(-12)*2*10. Solve -2/7*v + 0*v**3 + 0 - 4/7*v**2 + 2/7*v**w + 4/7*v**4 = 0.
-1, 0, 1
Let m(b) = b + 6. Let n be m(-4). Suppose -a + n = -0*a. Suppose 8/5*j**a + 2/5*j + 0 + 4/5*j**4 + 2*j**3 = 0. What is j?
-1, -1/2, 0
Suppose -4*c = -41 - 15. Let b be (c + -4)*2/5. Factor 2*m**b + m**3 - m**3 - 3*m**4 + m**2.
-m**2*(m - 1)*(m + 1)
Suppose n + 8 = 3*y, -3*n = -4*y - 4*n + 6. What is a in 5*a - 6*a**4 + a**3 + 31*a**3 - a + 20*a**4 + 22*a**y = 0?
-1, -2/7, 0
Let j be 8/(-20) - 36/10. Let w be j*1*3/(-6). Factor 1/2*x + 1/6*x**w + 1/3.
(x + 1)*(x + 2)/6
Let z(i) be the first derivative of i**6/720 + i**5/120 + i**4/48 + i**3/3 + 6. Let p(q) be the third derivative of z(q). Factor p(k).
(k + 1)**2/2
Let s(n) be the first derivative of -n**5/35 - n**4/14 + n**3/21 + n**2/7 - 17. Factor s(v).
-v*(v - 1)*(v + 1)*(v + 2)/7
Let n(x) be the second derivative of -x + 0*x**3 + 0*x**4 + 0*x**2 + 0 + 1/40*x**5. Factor n(k).
k**3/2
Let c(i) be the second derivative of i**4/4 + 7*i**3/2 - 12*i**2 - 6*i + 9. Suppose c(x) = 0. What is x?
-8, 1
Let z(s) be the second derivative of -s**7/63 + s**6/9 - 3*s**5/10 + 7*s**4/18 - 2*s**3/9 + 24*s. Let z(i) = 0. What is i?
0, 1, 2
Suppose -5*j + 6 = 4*b, -3*j - 3*b + 5 = -2*b. Solve 3*r**j - 2 + 0*r - r**2 - r - r**2 = 0 for r.
-1, 2
What is z in -1 + 5/4*z - 1/4*z**2 = 0?
1, 4
Let g = 30 - 28. Let l be (-1)/(-5) - 14/(-5). Let -8/3*t + 2/3*t**4 + 4/3*t**l + 8/3 - g*t**2 = 0. What is t?
-2, 1
Let j(g) = 4*g - 9. Let m be j(6). Let r be (84/m)/((-6)/(-21)). Let 8/5*q + r*q**3 + 0 - 56/5*q**2 = 0. Calculate q.
0, 2/7
Suppose -3*b = 2*b - 25. Let d(l) = -l - 1. Let g be d(-5). Factor 0 + 4/3*y**g + 2/3*y**b - 4/3*y**2 + 0*y**3 - 2/3*y.
2*y*(y - 1)*(y + 1)**3/3
Let u(n) = -16*n - 46. Let k be u(-3). Find g such that 0 - 7/3*g**k + 1/3*g**5 + 2/3*g + 3*g**3 - 5/3*g**4 = 0.
0, 1, 2
Let b = 3 + -7/3. Let z be (-30)/(-6)*2/15. Determine j so that 0*j - b*j**3 - 2/3*j**4 + 2/3*j**5 + 0 + z*j**2 = 0.
-1, 0, 1
Suppose 44 + 31 = 5*s. Let t = 12 + 3. Find g such that t*g - g**3 - s*g + g**4 = 0.
0, 1
Let c be (-3 + 2)*6 - -2. Let g be 4 + (-1)/(c/(-13)). Factor -1/4*s - g*s**3 + 0 - 1/4*s**4 - 3/4*s**2.
-s*(s + 1)**3/4
Let v(b) be the second derivative of -1/12*b**4 + 1/6*b**3 + 1/80*b**5 + 0*b**2 + 0 - 2*b. Factor v(u).
u*(u - 2)**2/4
Suppose -16 + 4 = -4*h. Let d(c) be the second derivative of c + 1/60*c**4 - 1/150*c**6 + 0 + 0*c**2 + 1/210*c**7 - 1/100*c**5 + 0*c**h. What is n in d(n) = 0?
-1, 0, 1
Let d be (1/(-2))/(2/20). Let i be (-1)/2 - d/2. Find b, given that -2/3 + 2*b**4 + 2*b - 2/3*b**5 - 4/3*b**3 - 4/3*b**i = 0.
-1, 1
Let g be (-258)/8 - (-6)/12. Let z = 32 + g. Factor 0*a + 1/4 - z*a**2.
-(a - 1)*(a + 1)/4
Let q(x) be the first derivative of -x**4/60 - x**3/15 + 4*x + 4. Let b(c) be the first derivative of q(c). What is y in b(y) = 0?
-2, 0
Let a be (-98)/8 + 5 + -3. Let q = a + 131/12. Let -q*d**3 + 0 + 0*d - 2/3*d**2 = 0. Calculate d.
-1, 0
Let v(t) be the first derivative of t**8/420 - t**7/105 + t**5/15 - t**4/6 - 5*t**3/3 + 4. Let o(b) be the third derivative of v(b). Factor o(q).
4*(q - 1)**3*(q + 1)
Factor 5/2*j**3 + 0 + 15/2*j - 10*j**2.
5*j*(j - 3)*(j - 1)/2
Factor -9*l**2 - 2*l**2 + l**2 + 8*l + 4*l**3 - 2*l**2.
4*l*(l - 2)*(l - 1)
Let s(w) = 4*w + 5. Let m be s(-4). Let n be (-2 + 1)/((-5)/(-20)). Let k(c) = c**2 + 9*c + 8. Let u(l) = -3*l - 3. Let d(f) = m*u(f) + n*k(f). Factor d(h).
-(h + 1)*(4*h - 1)
Let u(z) be the third derivative of -z