 + 2)
Let f(o) be the second derivative of -o**2 + 0*o**4 + 1/120*o**6 + 0*o**3 + 1/60*o**5 + 0 + 3*o. Let d(s) be the first derivative of f(s). Solve d(y) = 0.
-1, 0
Let z(n) be the second derivative of -n**6/180 - n**5/30 - n**4/12 - n**3/9 + n**2/2 + 2*n. Let a(i) be the first derivative of z(i). Factor a(o).
-2*(o + 1)**3/3
Let n(l) be the second derivative of l**5/30 + l**4/4 + 2*l**3/3 - 3*l**2/2 + 3*l. Let j(b) be the first derivative of n(b). Let j(h) = 0. Calculate h.
-2, -1
Let h(k) be the third derivative of k**6/420 + k**5/105 - 5*k**4/84 - 2*k**3/7 + 4*k**2 - 10. Factor h(f).
2*(f - 2)*(f + 1)*(f + 3)/7
Let l(i) be the first derivative of -2*i**5/45 + i**4/6 - 4*i**3/27 - 29. What is h in l(h) = 0?
0, 1, 2
Factor 9/2*s**2 - 15/2*s**3 + 18*s + 6.
-3*(s - 2)*(s + 1)*(5*s + 2)/2
Let p = -10 - -18. Let u = -5 + p. Suppose -5*h**2 - 3*h**u + 0*h**2 + h + 7*h**3 = 0. Calculate h.
0, 1/4, 1
Let x = 43 + -127/3. Solve x*o + 2/9*o**2 + 4/9 = 0 for o.
-2, -1
Suppose -3*k = -6*k + 9. Factor -3*p - 4*p**4 + 39*p**2 - 51*p**2 - p - 12*p**k.
-4*p*(p + 1)**3
Let v(l) be the second derivative of -l**6/10 + 3*l**5/10 - l**3 + 3*l**2/2 - 4*l. Factor v(t).
-3*(t - 1)**3*(t + 1)
Let k be (0 - 2)/((-2)/8). Factor 11*y - 3*y**2 + 9 - 3 - k*y.
-3*(y - 2)*(y + 1)
Factor 3/5*w**4 + 9/5*w**3 + 3/5*w**2 - 6/5 - 9/5*w.
3*(w - 1)*(w + 1)**2*(w + 2)/5
Let p be (19 + -19)/(3*(-2)/(-2)). Factor -2/5*y + p + 0*y**2 + 2/5*y**3.
2*y*(y - 1)*(y + 1)/5
Determine l so that -5*l**5 - 66*l**4 + 11*l**5 + 34*l**5 + 30*l**3 - 4*l**2 = 0.
0, 1/4, 2/5, 1
Factor 20/7*s - 4/7*s**2 - 16/7.
-4*(s - 4)*(s - 1)/7
Let w(a) = 103*a - 1. Let p be w(1). Let k = p + -496/5. Find m, given that 4/5*m**2 + k*m**3 + 2*m**4 + 0 + 0*m = 0.
-1, -2/5, 0
Find i such that 4/3*i + 4/3 + 1/3*i**2 = 0.
-2
Factor 28*g**2 + 5*g**3 - 6*g**4 + g**4 - 5*g - 23*g**2.
-5*g*(g - 1)**2*(g + 1)
Let d(r) = -2*r - 2. Let w be d(-7). Let l be (39/26)/((-3)/(-14)). Factor 0 - u**3 - 6*u**2 - w*u - 1 - l.
-(u + 2)**3
Let h(o) be the third derivative of -9*o**6/200 - 4*o**5/25 - o**4/8 + o**3/5 - 6*o**2. Factor h(p).
-3*(p + 1)**2*(9*p - 2)/5
Let n(y) be the third derivative of y**7/630 - y**6/90 + y**5/60 + y**4/18 - 2*y**3/9 + 2*y**2 + 2. Find a such that n(a) = 0.
-1, 1, 2
Let t(y) = -16*y**2 + 6 - 5*y + 6*y + 17*y**2 + 4*y. Let v be t(-4). Factor 0 + 2*m**v - 4/3*m**3 - 2/3*m.
-2*m*(m - 1)*(2*m - 1)/3
Suppose -4*x - 2 = k, -5*x - 5 = k - 3. Let b(l) be the first derivative of 2 + x*l - 3/16*l**4 + 1/12*l**3 + 1/4*l**2. Solve b(h) = 0 for h.
-2/3, 0, 1
Let h = -26 - -31. Let k(a) be the third derivative of -a**2 + 1/140*a**7 + 0*a**3 + 0*a + 0 + 1/672*a**8 + 1/120*a**h + 1/80*a**6 + 0*a**4. Factor k(z).
z**2*(z + 1)**3/2
Let d(b) be the first derivative of -b**3/9 + b**2/2 - 2*b/3 - 5. Determine x so that d(x) = 0.
1, 2
Let u(t) be the third derivative of t**7/210 + t**6/60 + t**5/60 + 52*t**2. Factor u(i).
i**2*(i + 1)**2
Let p(g) = -g**3 - 7*g**2 - 10*g - 9. Let x be p(-6). Suppose -2*m + x = 3*m. Find t such that -t**m + 0 + 3*t + 0 + 2 = 0.
-1, 2
Let a(m) = -m. Let t be a(3). Let u be t/1*(0 - 1). Let -3*l**3 + 3*l**3 - l**u = 0. Calculate l.
0
Let o(k) be the third derivative of -k**10/15120 + k**9/3780 - k**8/3360 + k**4/24 + k**2. Let z(r) be the second derivative of o(r). What is v in z(v) = 0?
0, 1
Let p be 712/5 + 2/(-5). Let a be (p/(-35) + 4)*-10. Determine l so that -a*l**2 - 2/7*l**3 - 2/7*l + 0 = 0.
-1, 0
Let g(s) be the second derivative of 4*s**6/15 + s**5/5 - s**4 - 2*s**3/3 + 2*s**2 - 25*s. Factor g(r).
4*(r - 1)*(r + 1)**2*(2*r - 1)
Let g(i) = 2*i**2 - 2*i. Let q(w) = w**2 + 1. Let k(c) = -c**2 + 7*c + 5. Let a(j) = k(j) - 4*q(j). Let s(m) = -4*a(m) - 11*g(m). Factor s(b).
-2*(b + 1)*(b + 2)
Let h be 15*(2 - (-21)/(-15)). Find z, given that h*z + 3*z**2 + 7 - 2 + 1 = 0.
-2, -1
Let w be ((-4)/(-2))/(29 - -7). Let y(j) be the second derivative of 0 - 1/63*j**7 + 0*j**2 + w*j**6 + 1/36*j**4 - 1/15*j**5 + 0*j**3 + 2*j. Factor y(t).
-t**2*(t - 1)**2*(2*t - 1)/3
Let r(y) be the first derivative of 2*y**6/3 + 4*y**5/5 + 17. Solve r(u) = 0.
-1, 0
Let a = 261/20 + -49/4. Let m = 5353/5 + -1067. Solve -m*c + a + 8/5*c**2 = 0.
1/4, 2
Let z(d) be the third derivative of d**8/420 - 2*d**7/525 - d**6/150 + d**5/75 - 6*d**2. Let z(n) = 0. What is n?
-1, 0, 1
Factor 3/2*t**3 - 3/2*t + 9/4 - 3*t**2 + 3/4*t**4.
3*(t - 1)**2*(t + 1)*(t + 3)/4
Let v(x) = -12*x**2 - 4*x. Let n(z) = 6*z**2 + 2*z. Let i = 15 - 6. Let p(r) = i*n(r) + 4*v(r). Determine u so that p(u) = 0.
-1/3, 0
Let b(h) be the third derivative of h**8/224 + h**7/28 + 9*h**6/80 + 7*h**5/40 + h**4/8 - h**2 - 52. Let b(f) = 0. What is f?
-2, -1, 0
Let u(o) = 6*o**2 - 2*o - 3. Let z(s) = -25*s**2 + 9*s + 13. Let i(j) = -26*u(j) - 6*z(j). Factor i(d).
-2*d*(3*d + 1)
Let t be (0/(-1))/(5 + -5 - 2). Factor 2/5*j**3 + 0 + 0*j**4 - 2/5*j**5 + t*j + 0*j**2.
-2*j**3*(j - 1)*(j + 1)/5
Let y be (1/2)/((-14)/(-84)). Factor 0 - 2/3*h**y - 2/3*h + 4/3*h**2.
-2*h*(h - 1)**2/3
Let j(w) be the first derivative of -1024*w**5/5 - 32*w**4 + 240*w**3 + 189*w**2 + 54*w + 37. Factor j(t).
-2*(t - 1)*(8*t + 3)**3
Suppose 34 = 4*b - 2. Let -b*n**3 + n**5 - 2*n - 4*n + 15*n**2 - 3*n**4 + 2*n**5 = 0. What is n?
-2, 0, 1
Let m be 0 + -1 + (-7 - 1). Let s = m - -12. Factor 0 - i - 3/2*i**2 - 1/2*i**s.
-i*(i + 1)*(i + 2)/2
Let w(m) be the first derivative of m**8/5880 - m**6/1260 - 5*m**3/3 - 1. Let a(j) be the third derivative of w(j). Factor a(d).
2*d**2*(d - 1)*(d + 1)/7
Suppose -5*d - 1 = -2*y + 9, -4*y + 4*d = -20. Factor -3*j**2 + 4*j**2 + 2*j**5 - j**4 - j**y - j**3.
j**2*(j - 1)**2*(j + 1)
Let a(k) = -188*k**2 - 334*k - 98. Let n(z) = 21*z**2 + 37*z + 11. Let m(s) = -6*a(s) - 52*n(s). Factor m(l).
4*(l + 2)*(9*l + 2)
Let j(g) be the third derivative of 0 + 9*g**2 + 0*g + 2*g**3 - 1/20*g**5 + 0*g**4. Determine i so that j(i) = 0.
-2, 2
Let u = -16 - -6. Let q be (u - -12)/((-2)/(-4)). What is y in 1/4*y**2 + 0*y + 0 - 1/4*y**q + 0*y**3 = 0?
-1, 0, 1
Find y such that 14 + 2*y**3 + y**3 - 7*y - 23 + 4*y + 9*y**2 = 0.
-3, -1, 1
Suppose -3*c = 3*g - 13 - 2, 2*g - 5*c = -4. Suppose 3*d = -4*v + g, 3*d + 0*v = -2*v + 3. Determine t so that t + d - 1 + t + 2*t**2 = 0.
-1, 0
Let t(h) be the third derivative of -h**7/630 - h**6/180 + h**5/60 + h**4/18 - 2*h**3/9 - 7*h**2. Factor t(u).
-(u - 1)**2*(u + 2)**2/3
Find o such that -7*o**2 - 3*o**2 + 5*o - 53 + 30*o - 5*o**3 + 33 = 0.
-4, 1
Suppose -4 + 34 = 5*x - v, 25 = 4*x - v. Suppose 4/3*k**2 - 2*k + 2/3*k**x + 2/3 - 2*k**4 + 4/3*k**3 = 0. Calculate k.
-1, 1
Let o(c) be the third derivative of 7/60*c**4 + 4/525*c**7 + 2/15*c**3 + c**2 - 7/300*c**6 + 0 - 1/25*c**5 + 0*c. Solve o(l) = 0 for l.
-1, -1/4, 1, 2
Let m(i) be the second derivative of -i**5/250 + i**4/30 - 7*i**3/75 + 3*i**2/25 + 17*i. Factor m(s).
-2*(s - 3)*(s - 1)**2/25
Let p(a) be the third derivative of a**6/60 - a**5/30 - a**4/12 + a**3/3 + 2*a**2. Factor p(r).
2*(r - 1)**2*(r + 1)
Let j(x) be the first derivative of x**7/840 - x**6/360 - x**5/120 + x**4/24 + 4*x**3/3 + 1. Let f(z) be the third derivative of j(z). Factor f(a).
(a - 1)**2*(a + 1)
Let a(c) = 4*c**3 + 2*c**2 - 2*c + 6. Let f(o) = o + 1. Let t be f(0). Let h(z) be the first derivative of z + 1. Let j(q) = t*a(q) - 6*h(q). Factor j(m).
2*m*(m + 1)*(2*m - 1)
Let z(o) be the first derivative of 0*o - 2/21*o**3 + 7 - 1/7*o**2. Let z(h) = 0. What is h?
-1, 0
Let w(t) be the first derivative of 1 + 1/12*t**3 + 1/8*t**2 + 0*t. Factor w(l).
l*(l + 1)/4
Let h be (((-4)/(-2))/(15/(-3)))/(-2). Find s, given that 2/5*s**2 + 0 + 1/5*s**3 + h*s = 0.
-1, 0
Let f(q) be the first derivative of q**8/10080 - q**6/2160 + q**3/3 - 3. Let j(l) be the third derivative of f(l). Factor j(r).
r**2*(r - 1)*(r + 1)/6
Let f(t) = t**3 + t**2 + t - 1. Let n(y) = 15*y**4 - 45*y**2 - 30*y + 20. Let d(v) = 20*f(v) + n(v). Solve d(h) = 0 for h.
-2, -1/3, 0, 1
Let o(n) = -4*n**5 + 4*n**4 - 7*n**3 + 7*n + 7. Suppose -2 + 12 = 5*d. Let m(k) = -k**5 + k**4 - 2*k**3 + 2*k + 2. Let p(s) = d*o(s) - 7*m(s). Factor p(i).
-i**4*(i - 1)
Let a(h) be the second derivative of -h**5/20 - 7*h**4/12 - 7*h**3/6 - 2*h**2 + 2*h. Let w be a(-6). Factor 0 - w*m**3 - 2/3*m - 2*m**2 - 2/3*m**4.
-2*m*(m + 1)**3/3
Let l(m) be the second derivative of m**6/6 +