rst derivative of m**7/840 - m**5/120 + m**3 - 2. Let h(u) be the third derivative of y(u). Factor h(n).
n*(n - 1)*(n + 1)
Let i(r) be the third derivative of 0*r - 1/20*r**6 - 3/35*r**7 - 1/12*r**4 + 0*r**3 + 1/6*r**5 - 5*r**2 + 0. What is d in i(d) = 0?
-1, 0, 1/3
Let b be (-3 - -4)/(1/15). Let i be b/12*(-4)/(-10). What is o in -i*o + 1/4 + 1/4*o**2 = 0?
1
Let a be 268/36 + -2 + -5. Let -2/3*g**3 + 20/9*g**2 + a - 2*g = 0. What is g?
1/3, 1, 2
Let f(d) be the first derivative of 5*d**6/6 - 2*d**5 - 15*d**4/4 + 20*d**3/3 + 10*d**2 + 7. Factor f(a).
5*a*(a - 2)**2*(a + 1)**2
Let 0*h + 2/19*h**5 + 0*h**4 + 0 + 0*h**2 - 2/19*h**3 = 0. Calculate h.
-1, 0, 1
Let q(k) = -6*k**4 - 2*k**2 + 3*k - 5. Let y(d) = 7*d**4 + 3*d**2 - 4*d + 6. Let c(h) = 6*q(h) + 5*y(h). Factor c(w).
-w*(w - 1)**2*(w + 2)
Let d = 30/19 - -154/95. Factor 54/5 + d*j**3 + 72/5*j**2 + 108/5*j.
2*(2*j + 3)**3/5
Suppose 4*a - a - 18 = 0. Suppose -a = -5*g + 4. Suppose -g*y**5 - 6*y**4 + 3*y**3 + 0*y**2 - y**5 + 2*y**2 + 4*y**2 = 0. What is y?
-2, -1, 0, 1
Let t = -11 - -5. Let f(m) = -m**2 - 11*m - 8. Let n be f(t). Solve 86*i**4 - 42*i**5 - n*i**2 - 98/3*i**3 + 8/3 + 8*i = 0 for i.
-1/3, -2/7, 2/3, 1
Let k(a) = 5*a**2 - 15*a + 10. Let j(u) = -u + 1. Let y(z) = -5*j(z) + k(z). Let y(g) = 0. Calculate g.
1
Let u = 74 - 254/3. Let y = u + 11. Factor 2/3 + y*m - 1/3*m**2.
-(m - 2)*(m + 1)/3
Factor -10*d - 3*d**2 - 31*d - 300 - 6*d - 13*d.
-3*(d + 10)**2
Let w be 136/102 + 4/6. Factor -6*l**3 + 3*l**4 + 6*l**w - 3/5*l**5 + 3/5 - 3*l.
-3*(l - 1)**5/5
Let v(j) be the second derivative of j**4/21 - 16*j**3/21 + 24*j**2/7 - 37*j. Solve v(x) = 0 for x.
2, 6
Suppose 2*s - 3*s = -5. Suppose -4*n + 0*n = 3*b - 20, 0 = s*b + 5*n - 25. Factor 0 + b*f**3 + 0*f**2 + 1/2*f**4 + 0*f.
f**4/2
Suppose -a + 3*s - 6 = -6*a, 12 = 5*a + s. Let u = -1 + 8. Factor 4*q**5 + u*q**3 - 3*q**5 + a*q**4 - 4*q**3 + q**2.
q**2*(q + 1)**3
Let u(d) be the first derivative of 0*d - 1/2*d**4 + 1/2*d**2 + 1/6*d**6 + 0*d**3 + 0*d**5 - 1. Factor u(q).
q*(q - 1)**2*(q + 1)**2
Let n be (2/(-10))/(1*(-5)/50). Determine v so that -2/7*v**3 + 2/7*v**n + 0*v + 0 = 0.
0, 1
Let u be ((-40)/(-6))/((-12)/(-18)). Let c = -10 + u. Determine z so that c*z**2 + 0 - 2/3*z**3 + 0*z = 0.
0
Let j(s) be the first derivative of -7/10*s**4 + 0*s + 2/5*s**5 + 4/15*s**3 + 0*s**2 + 1. Suppose j(f) = 0. Calculate f.
0, 2/5, 1
Let q(x) be the third derivative of 2*x**7/105 + x**6/6 + 3*x**5/5 + 7*x**4/6 + 4*x**3/3 - 11*x**2. Factor q(m).
4*(m + 1)**3*(m + 2)
Let h(v) be the second derivative of -v**8/7560 - v**7/1260 - v**6/540 - v**5/540 + v**3/2 + v. Let w(g) be the second derivative of h(g). Factor w(y).
-2*y*(y + 1)**3/9
Let s be ((-4)/10)/((-1)/20). Suppose -s*u**2 - 4*u**3 + 9*u**3 + 2 + u + 0*u = 0. What is u?
-2/5, 1
Suppose a = 10 + 2. Let l be -2 + 15/a*2. Factor l*s**2 - 1 - 1/2*s.
(s - 2)*(s + 1)/2
Let w(q) be the third derivative of 0 + 1/210*q**5 + 0*q**4 + 0*q**6 - q**2 - 1/735*q**7 + 0*q**3 + 0*q. Determine j so that w(j) = 0.
-1, 0, 1
Let i be 5252/7 + (-2)/7. Let d = 6766/9 - i. Determine p, given that -56/9*p - d + 6*p**4 + 6*p**3 - 4*p**2 = 0.
-2/3, 1
Let m(k) = k + 1. Let p be m(1). Let o(q) be the first derivative of 2/3*q**3 - 2*q + q**2 - p - 1/2*q**4. Factor o(x).
-2*(x - 1)**2*(x + 1)
Let f(p) = p + 4. Let d be f(4). Suppose 0 = -5*h - 4*q + 4 + 12, -2*q + d = -h. Solve 0*x**3 - 1/4 + 1/2*x**2 + h*x - 1/4*x**4 = 0.
-1, 1
Find a such that -9 + 3*a - 1/4*a**2 = 0.
6
Let l(r) be the third derivative of -r**9/8064 - r**8/1920 - r**7/1680 - r**5/30 - 2*r**2. Let b(f) be the third derivative of l(f). Factor b(s).
-3*s*(s + 1)*(5*s + 2)/2
What is y in -23*y**3 + 60*y**2 + 22*y**3 + 45*y**3 + 12*y**4 + 36*y + 8 = 0?
-1, -2/3
Let i(n) = 6*n - 7*n**5 + n**3 - n + 3*n**4 - 2*n**3 - 3 - 2. Let k(p) = -4*p**5 + 2*p**4 - p**3 + 3*p - 3. Let f(c) = 3*i(c) - 5*k(c). Factor f(j).
-j**3*(j - 1)*(j + 2)
Factor -1/2*m + 1/4*m**5 + 0 + 1/4*m**3 - 3/4*m**4 + 3/4*m**2.
m*(m - 2)*(m - 1)**2*(m + 1)/4
Let f(d) be the first derivative of 1 - 4/3*d**3 - 1/2*d + 11/8*d**2 + 7/16*d**4. Suppose f(v) = 0. What is v?
2/7, 1
Factor 0*s**4 + 3/8*s - 3/4*s**3 + 3/8*s**5 + 0*s**2 + 0.
3*s*(s - 1)**2*(s + 1)**2/8
Let g(b) be the second derivative of 0 - b**2 - 1/12*b**4 - 1/2*b**3 - 4*b. Factor g(z).
-(z + 1)*(z + 2)
Factor -5*o**3 + 70 - o - 5*o**2 - 114 + 64 + 21*o.
-5*(o - 2)*(o + 1)*(o + 2)
Let r(i) be the first derivative of -i**5/35 + i**4/7 - 2*i**3/7 + 2*i**2/7 - i/7 + 3. What is g in r(g) = 0?
1
Let a = 241/2 + -120. Let -a*g**5 - 1/2 + 3/2*g + 3/2*g**4 - g**2 - g**3 = 0. Calculate g.
-1, 1
Let t(f) be the third derivative of -f**5/300 + f**3/30 - 19*f**2. What is c in t(c) = 0?
-1, 1
Determine k, given that -108/11*k**2 - 20/11*k**4 + 54/11*k + 0 + 72/11*k**3 + 2/11*k**5 = 0.
0, 1, 3
Suppose 3*w = 6 + 3. Let s(a) be the first derivative of 1/7*a**2 - 1/14*a**4 - 2/21*a**w - 1 + 2/7*a. Factor s(d).
-2*(d - 1)*(d + 1)**2/7
Suppose -1/5 - 3/5*t + 1/5*t**2 + 3/5*t**3 = 0. What is t?
-1, -1/3, 1
Let u(f) = f**3 - f + 1. Let a(q) = -3*q**3 - q**2 + 4*q - 2. Let w(g) = -3*a(g) - 6*u(g). Determine p, given that w(p) = 0.
-2, 0, 1
Determine m, given that 0 + 12/7*m**4 - 8/7*m**3 + 0*m**2 - 4/7*m**5 + 0*m = 0.
0, 1, 2
Let y(n) be the second derivative of n**7/280 - n**6/120 - n**5/120 + n**4/24 - n**3/24 - n**2 - 2*n. Let t(x) be the first derivative of y(x). Factor t(i).
(i - 1)**2*(i + 1)*(3*i - 1)/4
Let y be 0*-1*(-1 - 0). Factor 0 - 3/5*q**4 + 0*q**2 + y*q + 3/5*q**3.
-3*q**3*(q - 1)/5
Let i(v) = v**3 + 26*v**2 + 67*v - 46. Let y be i(-23). Factor 1/3*f**2 - 1/3*f + y.
f*(f - 1)/3
Factor 4 - 4*z**3 - 20*z**2 - 22*z**2 + 44*z**2 + 10*z.
-2*(z - 2)*(z + 1)*(2*z + 1)
Let g = 2 - 3. Let w = 1 + g. Determine a so that w*a**2 - 4*a**3 - a**2 + 3*a**3 = 0.
-1, 0
Let q(o) = -2*o + 13. Let w be q(-7). Let u = -107/4 + w. Factor -5/4*a + a**2 + u.
(a - 1)*(4*a - 1)/4
Let t be 8/44 - 25/(-44). What is x in 3/2 + 0*x**2 - 9/4*x + t*x**3 = 0?
-2, 1
Suppose -2 + 14 = -3*x. Let r be (-7)/(-4) + (-1)/x. What is m in 2*m**3 - 7*m**4 + 3*m**4 + m**4 + 2*m**4 - m**r = 0?
0, 1
Let r(x) be the third derivative of x**6/60 + x**5/30 + x**4/6 - 4*x**3/3 + 2*x**2. Let y(d) = d**3 + 3*d**2 + 3*d - 8. Let v(f) = 3*r(f) - 4*y(f). Factor v(m).
2*(m - 2)**2*(m + 1)
Suppose -20 = -5*p - 0*p. Factor -4 + 2*l**5 - 4*l**3 - 4*l**2 + 6 + 15*l**p - 13*l**4 + 2*l.
2*(l - 1)**2*(l + 1)**3
Factor 2/9*f**3 + 0*f - 4/9*f**2 + 0.
2*f**2*(f - 2)/9
What is v in 9/4*v**2 + 1/2 - 11/4*v = 0?
2/9, 1
Factor 2/3*o**3 - 2/3*o**2 + 8/3 - 8/3*o.
2*(o - 2)*(o - 1)*(o + 2)/3
Let o(q) be the second derivative of -q**7/98 - 2*q**6/35 - 9*q**5/70 - q**4/7 - q**3/14 - q. Factor o(n).
-3*n*(n + 1)**4/7
Let f(c) = -2*c - 2. Let u be f(-2). Let s(m) = -m**3 - 2*m**2 + 1. Let n be s(-2). Factor n - a**u - 1 + a**4.
a**2*(a - 1)*(a + 1)
Factor 0*j + 6/7*j**5 + 0 + 2*j**3 + 16/7*j**4 + 4/7*j**2.
2*j**2*(j + 1)**2*(3*j + 2)/7
Let m(g) = 4*g - 5. Let h(x) = x + 8. Let b be h(-9). Let o(w) = -w**2 + 1. Let z(s) = b*m(s) - o(s). Determine f so that z(f) = 0.
2
Let o(j) be the first derivative of -j**8/1848 - j**7/385 - j**6/220 - j**5/330 + 2*j**2 + 2. Let t(m) be the second derivative of o(m). Factor t(v).
-2*v**2*(v + 1)**3/11
Let z(g) be the second derivative of g**4/8 + g**3/2 + 3*g**2/4 + 16*g. Factor z(u).
3*(u + 1)**2/2
Let l = 2 + 2. Determine b so that 23*b**2 - 4 + b + b - l*b - 21*b**2 = 0.
-1, 2
Let t(d) = d**2 - d. Let b be t(2). What is r in 2*r**4 - b*r**2 + 3*r**3 - r**5 + 3*r**5 - 5*r**3 = 0?
-1, 0, 1
Let r(n) be the third derivative of 6*n**6 - 10*n**5/3 - 35*n**4/24 + 5*n**3/3 - 2*n**2 + 14. Determine j, given that r(j) = 0.
-2/9, 1/4
Let u(i) be the first derivative of 3*i**5/10 + i**4/2 + i**3/6 - 7. Find r such that u(r) = 0.
-1, -1/3, 0
Let d(r) = 14*r**3 + 17*r - 17. Let t(n) = -3 + 0 + 5 - 6*n - 5*n**3 + 4. Let j = -10 + -7. Let h(y) = j*t(y) - 6*d(y). What is z in h(z) = 0?
0
Let o(g) = g**3 + 2*g**2 + g - 3. Let s be o(3). Suppose 24 + 85*j**3 + 72*j**2 - 27*j**5 - 144*j - s*j**4 + 2*j**3 + 24 + 9*j**3 = 0. Calculate j.
-2, 2/3, 1
Let j(l) = l**2 + 3*l - 1. Let q(n) = n. Let r = -28 - -27. Let o(k) = r*j(k) + 3*q(k). Factor o(t).
-(t - 1)*(t + 1)
Suppose 2*l = -r + 10, -3 = 4*r - 19. Let