the second derivative of d**5/20 - d**4/4 + d**3/3 - 14*d. Factor u(x).
x*(x - 2)*(x - 1)
Let k be 2*(-2 - (-340)/168). Let l(r) be the second derivative of 1/147*r**7 + k*r**3 - 1/35*r**5 + 0 - r + 0*r**2 + 0*r**6 + 0*r**4. Solve l(a) = 0 for a.
-1, 0, 1
Let d = 153/74 - 58/37. Factor -1/8*y**3 - 1/2*y**2 - d*y + 0.
-y*(y + 2)**2/8
Let r(p) be the second derivative of 0 - 1/15*p**3 + 0*p**2 + 1/60*p**4 + 2*p. Suppose r(w) = 0. Calculate w.
0, 2
Let q be ((-8)/5 + 1)*-5. Factor 34*h**3 - 18*h**3 - 2*h**4 - 14*h**q.
-2*h**3*(h - 1)
Let i(v) be the third derivative of -2*v**7/105 - v**6/60 + v**5/6 - v**4/6 + 11*v**2. Factor i(a).
-2*a*(a - 1)*(a + 2)*(2*a - 1)
Let y(k) be the third derivative of -k**7/70 + k**6/10 - k**5/5 + 19*k**2. Factor y(a).
-3*a**2*(a - 2)**2
Let y(d) = 10*d**2 - 14*d - 1. Let v(r) = -5*r**2 + 7*r. Let k = -2 + 3. Suppose -i = 5*o, -4*o + k = -i - 8. Let b(t) = i*v(t) - 2*y(t). Factor b(h).
(h - 1)*(5*h - 2)
Let v = 39 + -116/3. Solve 1/3 + 4/3*n**3 + 2*n**2 + 4/3*n + v*n**4 = 0.
-1
Suppose -4*h + 15 = 3. Let y(m) be the first derivative of 1/12*m**h + 3 + m - 1/2*m**2. Factor y(w).
(w - 2)**2/4
Let r(s) be the first derivative of 2*s**3/45 - 2*s**2/15 - 24. Suppose r(b) = 0. What is b?
0, 2
Let v(o) be the first derivative of -o**3/27 + 5*o**2/18 - 2*o/3 - 11. Let v(p) = 0. Calculate p.
2, 3
Suppose -10/7*o**5 + 8/7*o**2 - 8/7*o**3 - 26/7*o**4 + 0*o + 0 = 0. What is o?
-2, -1, 0, 2/5
Factor 0 + 1/3*x**2 - 2/3*x.
x*(x - 2)/3
Factor 3 + 5 - 5 - 12*s + 3*s**2 + 9*s**2.
3*(2*s - 1)**2
Let u(j) be the first derivative of -j**6/3 + 26*j**5/25 - 2*j**4/5 - 8*j**3/15 + 5. Determine g so that u(g) = 0.
-2/5, 0, 1, 2
Let u(l) = 107*l + 2. Let w be u(2). Let s = 656/3 - w. Factor 2/3 + s*c**2 - 10/3*c.
2*(c - 1)*(4*c - 1)/3
Let l(r) be the second derivative of -r**5/180 - r**4/36 - r**3/18 + 5*r**2/2 - 2*r. Let c(t) be the first derivative of l(t). Suppose c(a) = 0. What is a?
-1
Let h(c) = -c**2 + 6. Let t be h(-3). Let m be (6/(-10))/(t/15). Factor 4/5 + 49/5*s**4 - 36/5*s + 109/5*s**2 - 126/5*s**m.
(s - 1)**2*(7*s - 2)**2/5
Let w(u) = 3*u - 14. Let v be w(6). Let 3*r + v*r + 2*r**2 - 2 - r**2 - 6*r = 0. Calculate r.
-2, 1
Let l(i) be the first derivative of 5/2*i**2 - 2 + 1/4*i**4 + 4/3*i**3 + 2*i. Factor l(y).
(y + 1)**2*(y + 2)
Determine d, given that -1 + 5*d**2 - 2 - 3 + 2 + 8*d = 0.
-2, 2/5
Let l(z) be the first derivative of -z**4 + 8*z**3 + 21. Factor l(j).
-4*j**2*(j - 6)
Let n(u) = u**3 - 3*u**2 - 4*u + 2. Let s be n(4). Factor -v - 3*v - 2*v**2 + 5*v**2 - s*v.
3*v*(v - 2)
Let s = 11 + -5. Let h(i) = 2 + 9*i**2 - s - i - i. Let w(v) = -10*v**2 + 2*v + 5. Let n(b) = -5*h(b) - 4*w(b). Factor n(c).
-c*(5*c - 2)
Let j(t) be the second derivative of 2*t**6/15 - t**4 - 4*t**3/3 + 7*t. Determine q so that j(q) = 0.
-1, 0, 2
Let p(i) be the second derivative of i**7/126 + i**6/15 + 3*i**5/20 + i**4/9 + 17*i. Factor p(g).
g**2*(g + 1)**2*(g + 4)/3
Let z be 12/1*4/8. Let -m**2 - 5*m + 4 + z*m - 4*m = 0. Calculate m.
-4, 1
Let s(x) be the third derivative of 1/7*x**4 - 1/735*x**7 + 1/105*x**5 + 0*x - 3/7*x**3 + 8*x**2 + 0 - 1/105*x**6. Let s(y) = 0. What is y?
-3, 1
Let h(p) = -p**3 + p**2 + p + 2. Let f(a) = 9*a + 1. Let l be f(1). Let z = 7 - l. Let t(b) = -b**3 + 2*b**2 + b + 5. Let u(q) = z*t(q) + 7*h(q). Factor u(s).
-(s - 1)*(s + 1)*(4*s - 1)
Let o = 42 + -40. Factor 1/2*a**4 + 1/2 + 2*a + 3*a**o + 2*a**3.
(a + 1)**4/2
Suppose 2*u - 3 = -3. Let i(f) be the third derivative of 1/120*f**5 - 1/420*f**7 + u*f**3 + 0*f**4 + 0*f + f**2 + 0 + 0*f**6. Factor i(h).
-h**2*(h - 1)*(h + 1)/2
Find b, given that 0*b**2 + 2*b**4 - 5*b**4 + b**2 + 5*b**2 - 3*b**3 = 0.
-2, 0, 1
Let z(r) = -3*r**5 - 6*r**4 + r**3 - 7*r**2 + 5. Let f(c) = 2*c**5 + 3*c**4 + 4*c**2 - 3. Let j(k) = 5*f(k) + 3*z(k). Suppose j(m) = 0. Calculate m.
0, 1
Let y(a) = -2*a**4 + 13*a**3 - 5*a**2 - a + 5. Let h(p) = 3*p**4 - 19*p**3 + 8*p**2 + p - 7. Let w(x) = -5*h(x) - 7*y(x). Determine j so that w(j) = 0.
0, 1, 2
Let d(j) be the first derivative of -9*j**4/16 - 17*j**3/6 - 7*j**2/2 + 2*j + 4. Factor d(q).
-(q + 2)**2*(9*q - 2)/4
Let f(r) be the second derivative of r**6/45 - r**5/15 + r**4/18 + 10*r. Let f(p) = 0. Calculate p.
0, 1
Factor 4/5 + 7/5*s**2 - 16/5*s.
(s - 2)*(7*s - 2)/5
Let j = -4076/21 - -584/3. Determine v, given that 0 + 0*v - 6/7*v**4 + j*v**3 + 2/7*v**5 + 0*v**2 = 0.
0, 1, 2
Let k(o) be the second derivative of o**5/60 - o**4/18 - o**3/18 + o**2/3 - 12*o. Factor k(b).
(b - 2)*(b - 1)*(b + 1)/3
Let k(g) = 15*g**2 + 24*g + 24. Let x(j) = 3*j**2 + 5*j + 5. Let s(w) = -5*k(w) + 24*x(w). What is t in s(t) = 0?
0
Let t = 122 - 608/5. What is o in 0 - 2/5*o - t*o**3 + 4/5*o**2 = 0?
0, 1
Let p(n) be the second derivative of -1/30*n**4 + 1/105*n**7 - 4/5*n**2 + 7/50*n**5 + 10*n + 1/15*n**6 + 0 - 8/15*n**3. Find s such that p(s) = 0.
-2, -1, 1
Let y(n) be the third derivative of -5*n**8/336 + 5*n**6/24 - 5*n**4/6 - 17*n**2. Solve y(p) = 0 for p.
-2, -1, 0, 1, 2
Let x(w) be the second derivative of w**4/42 + 26*w**3/21 + 169*w**2/7 - 40*w. Solve x(c) = 0.
-13
Let b(u) be the first derivative of 1/180*u**5 - 2 + 0*u + 0*u**4 + 0*u**2 + 2/3*u**3 + 1/540*u**6. Let o(x) be the third derivative of b(x). Factor o(f).
2*f*(f + 1)/3
Let y(x) = 2*x**4 - 4*x + 2. Let s(f) be the first derivative of 3*f**5/5 - f**3/3 - 5*f**2/2 + 3*f + 6. Let g(k) = 4*s(k) - 5*y(k). Factor g(n).
2*(n - 1)**2*(n + 1)**2
Suppose -159 = -5*t - 19. Let g = t - 24. Factor 0*h**2 + 0*h**3 - 2/11*h**g + 0*h + 0.
-2*h**4/11
Let s(w) be the third derivative of 0*w**4 - 1/1344*w**8 - 1/160*w**6 + 0*w**3 - 3*w**2 - 1/168*w**7 + 0*w + 0 + 3/80*w**5. Suppose s(i) = 0. What is i?
-3, 0, 1
Let y(k) be the first derivative of k**6/15 - 3*k**4/5 + 16*k**3/15 - 3*k**2/5 + 25. Factor y(t).
2*t*(t - 1)**3*(t + 3)/5
Factor 25*q + 3*q**3 - 20*q**2 - 40*q - 8*q**3.
-5*q*(q + 1)*(q + 3)
Let c = -4 + 10. Let q be 1/c*1*2. Factor -1/3*w**2 + 0 - q*w.
-w*(w + 1)/3
Suppose 9*j - 2*j - 21 = 0. Let t(w) be the second derivative of 0 - 1/4*w**2 - 1/24*w**4 + 1/6*w**j + w. Solve t(b) = 0.
1
Factor 0 - 3*g**3 + 0*g - 3/2*g**4 - 3/2*g**2.
-3*g**2*(g + 1)**2/2
Let f be (2 - 10/8) + 3. Let y = f - 3. Factor 3/2*i**2 + y*i**3 + 0 + 3/4*i.
3*i*(i + 1)**2/4
Suppose 0 = 2*r + 4*i - 6*i - 10, 0 = -2*r + 5*i + 19. Suppose 11 = 4*b - z, z - 13 = -5*b + r*z. What is c in -4*c**2 + 3*c**4 - b - c**4 + 4 = 0?
-1, 1
Let y = 5 - 3. Suppose w - 5 = 0, -6*f + 2*f + 2*w + 6 = 0. Find h such that 2 - 3/2*h**3 + f*h + 1/2*h**y = 0.
-1, -2/3, 2
Let j(g) be the first derivative of 11*g**5/15 - 13*g**4/12 - 20*g**3/9 + 2*g**2/3 - 10. Find k, given that j(k) = 0.
-1, 0, 2/11, 2
Determine a so that -1/4*a**2 - 1/4*a**3 + 0 + 1/2*a = 0.
-2, 0, 1
Factor -63*z - 431*z**3 + 245*z**4 + 81*z**3 + 163*z - 15*z**2 + 20.
5*(z - 1)**2*(7*z + 2)**2
Let k(j) be the second derivative of -5*j**4/48 + 7*j**3/24 - j**2/4 - 6*j. Factor k(w).
-(w - 1)*(5*w - 2)/4
Let b be (2/15 + (-6)/45)/(-1). Let m(z) be the third derivative of 1/90*z**5 + 0 - 2*z**2 - 1/9*z**3 + b*z**4 + 0*z. Let m(k) = 0. What is k?
-1, 1
Suppose -i + 19*i**3 - 17*i**3 - 7*i = 0. What is i?
-2, 0, 2
Let a be 12/(-27)*(-180)/40. Solve 26/3*p**a - 8/3 + 8/3*p + 10/3*p**3 = 0.
-2, -1, 2/5
Let o(w) = -w**3 - 5*w**2 + 3*w - 16. Let f be o(-6). Let l(z) be the second derivative of 1/6*z**4 + 0*z**2 + f*z - 2/3*z**3 + 0. Factor l(y).
2*y*(y - 2)
Let t(v) be the third derivative of -1/735*v**7 + 0*v + 0*v**4 + 1/420*v**6 + 0 + 2*v**2 + 0*v**5 + 0*v**3. Let t(w) = 0. What is w?
0, 1
Let f(r) = -r**2 - 6*r + 3. Let t be f(-6). Factor -2*s**4 - 2 + 2*s**t + 2 - 4*s**3.
-2*s**3*(s + 1)
Let p(f) be the second derivative of f**6/6 - f**5 - 5*f**4/2 + 10*f**3/3 + 25*f**2/2 - 50*f. Factor p(w).
5*(w - 5)*(w - 1)*(w + 1)**2
Let p(t) be the third derivative of 6/5*t**3 + 0*t + 157/300*t**5 + 11/10*t**4 - 6*t**2 + 11/100*t**6 + 0 + 3/350*t**7. Factor p(k).
(k + 3)**2*(3*k + 2)**2/5
Let k(z) be the first derivative of 0*z + 0*z**3 + 1/39*z**6 + 0*z**2 + 0*z**5 - 1/26*z**4 + 9. Factor k(i).
2*i**3*(i - 1)*(i + 1)/13
Let f(g) = -g**2 - 18*g - 68. Let u be f(-6). Let t(k) be the first derivative of -15/16*k**u + 0*k**2 - 1 - 1/2*k**3 + 21/20*k**5 + 0*k. Solve t(y) = 0 for y.
-2/7, 0, 1
Suppose -2*x + 7*x = 0. L