e first derivative of -o**5/20 + 7*o**4/16 - 5*o**3/4 + 13*o**2/8 - o - 19. Factor x(i).
-(i - 4)*(i - 1)**3/4
Let k(l) be the second derivative of -l**5/36 + l**4/36 + l**3/27 - 8*l. Factor k(f).
-f*(f - 1)*(5*f + 2)/9
Suppose v + 3*v = 4. Let m be v - (-5)/(15/6). Find s, given that -3*s**m + 4/3*s**4 - 1/3*s + 2*s**2 + 0 = 0.
0, 1/4, 1
Let f(m) be the second derivative of m**5 + 28*m**4/3 + 22*m**3 - 36*m**2 - 10*m. Solve f(x) = 0 for x.
-3, 2/5
Let v(u) = u**2 + 3*u + 5. Let b be v(-4). Solve 6*p**3 - 2*p**3 - 24*p**4 - 3*p + b*p**5 + 14*p**3 = 0.
-1/3, 0, 1
Let k(s) be the third derivative of -s**8/5040 - s**7/1260 - s**6/1080 - s**3/3 - 2*s**2. Let p(u) be the first derivative of k(u). Factor p(d).
-d**2*(d + 1)**2/3
Solve 0 - 6/5*u**2 + 1/5*u**3 + u = 0 for u.
0, 1, 5
Let g(o) be the third derivative of o**7/70 + o**6/40 - 3*o**5/20 - 5*o**4/8 - o**3 + 3*o**2. Suppose g(y) = 0. Calculate y.
-1, 2
Solve 2/5*x**4 + 0*x + 2/5 - 4/5*x**2 + 0*x**3 = 0 for x.
-1, 1
Suppose 2/11*g**3 + 0*g + 0 - 2/11*g**2 = 0. What is g?
0, 1
Suppose -a + 10 = -3*a - 3*i, 5*i + 20 = -5*a. Let m be ((-3)/a)/((-6)/(-8)). Suppose k**4 - k**2 - 7*k + 0*k**4 - m*k**3 + 9*k + 0*k**3 = 0. Calculate k.
-1, 0, 1, 2
Let b(s) be the second derivative of -25*s**4/84 - 5*s**3/42 + 3*s**2/7 + 3*s. Factor b(r).
-(5*r - 2)*(5*r + 3)/7
Let o(v) be the second derivative of v**10/75600 - v**9/37800 + v**4/4 - v. Let s(a) be the third derivative of o(a). Factor s(x).
2*x**4*(x - 1)/5
Let v be 1/3 - 8/(-3). Suppose 0 = 3*k - v*n, 3*k + n = -1 + 13. Factor -f**2 + f**3 - 3*f + k*f.
f**2*(f - 1)
Let y(j) be the first derivative of j**5/240 - j**3/24 - 5*j**2/2 + 3. Let q(u) be the second derivative of y(u). Find c, given that q(c) = 0.
-1, 1
Let p(k) be the third derivative of -1/336*k**8 + 0 - 1/60*k**5 + 0*k**4 - 1/40*k**6 + 0*k + 2*k**2 + 0*k**3 - 1/70*k**7. Factor p(f).
-f**2*(f + 1)**3
Let q(b) = -3*b**3 + 3*b**2 + 5. Let x(h) = -3*h**3 + 3*h**2 + 6. Let j(c) = 6*q(c) - 5*x(c). Let j(m) = 0. Calculate m.
0, 1
Suppose c - 14 = -4*i, -c - 2*c - 5*i + 21 = 0. Suppose c*p + 4 = -4*v, 5*p - v + 1 - 2 = 0. Factor p*u**2 + 0 + 0*u**4 + 0*u + 2/5*u**5 - 2/5*u**3.
2*u**3*(u - 1)*(u + 1)/5
Let s = 7 - 5. Determine z, given that s*z - 1 + 0 - z**2 + 0 = 0.
1
Let r**2 + 18*r + 4*r**2 + 4*r**2 - 10*r**2 - 81 = 0. What is r?
9
Let u(a) be the second derivative of a**7/126 - a**5/30 + a**3/18 + 12*a. Factor u(q).
q*(q - 1)**2*(q + 1)**2/3
Let b(l) = 3*l**3 - 4*l**2 + 4. Let x(g) = 8*g**3 + 5*g - 11*g**2 - 5*g + 11. Let v(y) = -11*b(y) + 4*x(y). Factor v(q).
-q**3
Let f(z) be the first derivative of 2*z**5/25 + z**4/2 + 6*z**3/5 + 7*z**2/5 + 4*z/5 - 1. Determine d so that f(d) = 0.
-2, -1
Let g(d) be the first derivative of 2 + 3/4*d**4 + 12*d**2 + 5*d**3 + 12*d. Factor g(p).
3*(p + 1)*(p + 2)**2
Suppose -14 = 20*p - 27*p. Factor 9/4*d**p - 3/4*d**3 - 3/2*d + 0.
-3*d*(d - 2)*(d - 1)/4
Let x(l) be the second derivative of 0 - 1/72*l**4 + 1/18*l**3 - 7*l + 1/4*l**2. Factor x(y).
-(y - 3)*(y + 1)/6
Let b(p) be the first derivative of 3*p**4/4 + 2*p**3 - 3*p**2/2 - 6*p - 1. Factor b(z).
3*(z - 1)*(z + 1)*(z + 2)
Suppose -5*i + 0*i = -975. Let k = i + -1753/9. Factor 0*z + 0 + 0*z**2 - k*z**3 - 4/9*z**4 - 2/9*z**5.
-2*z**3*(z + 1)**2/9
Let h(w) be the third derivative of w**5/15 + 2*w**4/3 + w**2. Factor h(c).
4*c*(c + 4)
Factor -2/7*u**4 - 182*u - 196 - 46/7*u**3 - 54*u**2.
-2*(u + 2)*(u + 7)**3/7
Let h be -4*(2 - 148/72). What is w in 0 + 2/3*w**3 + 2/9*w**5 + 0*w + h*w**2 + 2/3*w**4 = 0?
-1, 0
Let u(a) be the second derivative of -a**4/6 - a**3/3 + 2*a**2 - 16*a. Suppose u(n) = 0. What is n?
-2, 1
Let l(g) be the first derivative of 2*g**5/15 + g**4/6 - 2*g**3/9 - g**2/3 + 19. Factor l(w).
2*w*(w - 1)*(w + 1)**2/3
Let a(m) be the third derivative of m**7/210 + m**6/60 - m**5/60 - m**4/12 - 4*m**2. Factor a(w).
w*(w - 1)*(w + 1)*(w + 2)
Let u(n) be the first derivative of -3 + 2/3*n**4 - 7/3*n**2 - 4/3*n + 10/9*n**3. Factor u(a).
2*(a - 1)*(a + 2)*(4*a + 1)/3
Factor -8/5*x - x**2 - 1/5*x**3 - 4/5.
-(x + 1)*(x + 2)**2/5
Let q(k) be the second derivative of k**10/30240 - k**8/3360 + k**6/720 + k**4/4 - 7*k. Let s(w) be the third derivative of q(w). Suppose s(t) = 0. Calculate t.
-1, 0, 1
Let z be 3 - (-5)/((-10)/6). Suppose 0 = b - z - 3. Let 10/9*f**b + 0*f + 0 + 4/9*f**2 = 0. What is f?
-2/5, 0
Let o(v) = v + 1. Let i be o(5). Let r be 15*-6*1/(-5). Determine d so that -62*d - 52*d**3 - 118*d**2 - r*d**3 + i*d - 8 = 0.
-1, -2/5, -2/7
Let w be (-1)/2 + (-5)/(-2). Suppose 0 = -b + 5 - w. Factor -2*o**b + 4 + 2*o**5 - 4.
2*o**3*(o - 1)*(o + 1)
Let y = 785/28 - 111/4. Factor 4/7*r + 2/7*r**2 + y.
2*(r + 1)**2/7
Let d(g) be the first derivative of g**6/8 - 3*g**5/20 - 3*g**4/16 + g**3/4 - 2. Factor d(o).
3*o**2*(o - 1)**2*(o + 1)/4
Let n(f) = f + 3. Let u be n(0). Factor u*q**3 - 9/5*q**4 + 0*q + 0 - 6/5*q**2.
-3*q**2*(q - 1)*(3*q - 2)/5
Let f(q) be the second derivative of q**4/30 + 7*q. Factor f(g).
2*g**2/5
Suppose -3*v - v = 5*a - 29, 0 = v + a - 8. Let u = v - -1. Factor 9*w**3 - 14*w**2 + 3*w - 7*w**5 + 1 - 5*w**3 + 1 + u*w**4.
-(w - 1)**3*(w + 1)*(7*w + 2)
Let -13*z**2 + 15*z + 18 + 28*z**2 - 12*z**2 = 0. What is z?
-3, -2
Let d(s) = -s**3 + 6*s**2 - 2*s - 13. Let z be d(5). Factor 0*t + 2/5 - 2/5*t**z.
-2*(t - 1)*(t + 1)/5
Suppose 3*v - 1 = 8. Let 3*h**4 + 2*h**5 + 5*h**2 - 5*h**5 - 8*h**2 + v*h**3 = 0. Calculate h.
-1, 0, 1
Let w = 7/5 + -9/10. Let j(r) = -2*r - 6. Let s be j(-4). What is f in -w*f + 1/4*f**s + 0 = 0?
0, 2
Factor 9/5*t**3 - t + 3/5*t**2 + 1/5.
(t + 1)*(3*t - 1)**2/5
Suppose -2 - 13 = -3*k. Let i be 3/k + (-49)/(-35). Let 2/9*s**i + 0 + 2/9*s = 0. Calculate s.
-1, 0
Let u(r) = -r + 14. Let m(d) = d - 15. Let p(b) = 4*m(b) + 5*u(b). Let j be p(7). Factor 2*a - 4*a**j + a**4 + 2 - 3*a**4 + 2*a.
-2*(a - 1)*(a + 1)**3
Let p(t) = 2*t**2 + 2*t + 3. Let c be p(-3). Let v = 61/4 - c. Find y such that 1/2*y**2 + 0 - 1/4*y**3 - v*y = 0.
0, 1
Let s(y) be the first derivative of y**6/20 - 3*y**5/40 - 5*y - 5. Let o(u) be the first derivative of s(u). Suppose o(p) = 0. What is p?
0, 1
Factor -14/9*r**2 - 2*r**3 + 0 - 4/9*r - 10/9*r**4 - 2/9*r**5.
-2*r*(r + 1)**3*(r + 2)/9
What is m in -17*m**2 + 3*m - m**4 + 4*m**4 + 9*m**3 + 26*m**2 = 0?
-1, 0
Let k = 8 - 1. Let q(v) be the third derivative of 0*v + 3*v**2 + 0*v**4 + 0*v**3 + 0*v**5 + 0 - 1/105*v**k + 1/60*v**6. Factor q(y).
-2*y**3*(y - 1)
Suppose 7*s = 2*s + 5. Let i(b) be the first derivative of 2/25*b**5 + 1/10*b**4 + 0*b**2 - 2/15*b**3 + 0*b - 1/15*b**6 - s. Factor i(n).
-2*n**2*(n - 1)**2*(n + 1)/5
Let q(w) be the third derivative of w**6/100 + w**5/30 - w**4/30 - 2*w**2. Factor q(k).
2*k*(k + 2)*(3*k - 1)/5
Factor 0 + 2/5*j**4 + 24/5*j**2 + 16/5*j + 12/5*j**3.
2*j*(j + 2)**3/5
Factor -4*g + 28*g**3 + 0*g + 0*g + 20*g**2 - 4*g.
4*g*(g + 1)*(7*g - 2)
Determine q so that 2*q**2 - 2*q - 4*q + 10*q = 0.
-2, 0
Let w(v) = -20*v**5 - 51*v**4 + 76*v**3 + 180*v**2 + 34*v + 6. Let l(d) = -d**4 + d**3 - d + 1. Let y(b) = 6*l(b) - w(b). What is o in y(o) = 0?
-2, -1/4, 0, 2
Let i(a) be the third derivative of -a**6/540 - a**5/135 - a**4/108 + 14*a**2. Factor i(y).
-2*y*(y + 1)**2/9
Factor r**2 - r - 2*r**2 + r.
-r**2
Let u be (6/(-15))/(1552/(-4910)). Let r = -3/194 + u. Determine g, given that 1/2 + r*g**4 + 3/4*g**3 - 3/4*g - 7/4*g**2 = 0.
-1, 2/5, 1
Let u = 220/3 - 72. Factor 1/3*d + 0 - 7/3*d**3 - u*d**4 - 2/3*d**2.
-d*(d + 1)**2*(4*d - 1)/3
Let t(g) be the first derivative of g**5/5 - 5*g**4/4 - 8*g**3/3 + 6*g**2 + 49. Factor t(m).
m*(m - 6)*(m - 1)*(m + 2)
Let y(a) be the third derivative of -a**6/30 - 2*a**5/15 - 11*a**2. Factor y(d).
-4*d**2*(d + 2)
Let h(m) = 4*m - 110. Let c be h(28). Let g(y) be the first derivative of -1/4*y**4 - 4 + 0*y - 2/3*y**3 + 0*y**c. Solve g(j) = 0.
-2, 0
Let q(h) = -h**3 + 11*h**2 + 12*h + 2. Let z be q(12). Factor 3*w**5 + 2*w**4 - 5*w**4 + z*w**3 + 3*w**2 - 5*w**3.
3*w**2*(w - 1)**2*(w + 1)
Factor 99*f + 5*f**5 + 5*f**2 + 15*f**4 + 15*f**3 - 99*f.
5*f**2*(f + 1)**3
Let i(c) be the third derivative of 0*c + 1/735*c**7 + 0 + 0*c**3 + 0*c**5 + 3*c**2 + 1/420*c**6 + 0*c**4. Factor i(u).
2*u**3*(u + 1)/7
Let d = -23/6 + 31/6. Factor 14/3*w - 6*w**2 - d - 2/3*w**4 + 10/3*w**3.
-2*(w - 2)*(w - 1)**3/3
Let j