. Let r(f) = f - 1. Let x(h) = g(h) - r(h). Factor x(s).
(s - 2)*(s - 1)
Suppose -4*q + 12 = -0*q. Determine v, given that 3*v**4 - 5*v**4 - 3*v**q + 7*v**3 = 0.
0, 2
Let d(p) be the second derivative of 1/9*p**3 - 1/360*p**6 + 2*p - 1/90*p**5 + 1/72*p**4 + 1/2*p**2 + 0. Let x(b) be the first derivative of d(b). Factor x(a).
-(a - 1)*(a + 1)*(a + 2)/3
Let i(o) be the third derivative of o**6/120 - o**5/20 + o**4/12 + 2*o**2. Factor i(h).
h*(h - 2)*(h - 1)
Let d be 0 + 3/(1 - -8). Let n = -307 - -925/3. Factor 4/3*b - n - d*b**2.
-(b - 2)**2/3
Suppose 3*g - 4*g = 0. Suppose 2/9*l + 2/9*l**2 + g = 0. Calculate l.
-1, 0
Find r, given that -1/3*r**4 - 1/3*r**3 + 0 + 0*r**2 + 0*r = 0.
-1, 0
Let a be 69/(-46)*(-4)/3. Let s(l) be the second derivative of -4/5*l**3 + 7/20*l**4 + 49/100*l**5 + 2/5*l**2 + 0 + a*l. What is n in s(n) = 0?
-1, 2/7
Let o be 133/(-38)*(-4)/21. Factor o*t + 1/3 + 1/3*t**2.
(t + 1)**2/3
Let o(a) be the second derivative of -a**6/75 + 3*a**5/25 - 13*a**4/30 + 4*a**3/5 - 4*a**2/5 + 14*a. Factor o(g).
-2*(g - 2)**2*(g - 1)**2/5
Factor 5/7*o**3 - 8/7*o**2 + 2/7 + 1/7*o.
(o - 1)**2*(5*o + 2)/7
Let -4*j**3 + 29*j**4 - 4*j - 10*j**2 - 31*j**4 - 4*j**3 = 0. Calculate j.
-2, -1, 0
Suppose -5*f + 15*f - f = 0. Factor -1/4*b**5 + f*b + 3/4*b**4 + 0*b**3 - b**2 + 0.
-b**2*(b - 2)**2*(b + 1)/4
Let j be 8/(-20)*10/(-12). Let f(o) be the second derivative of -j*o**2 + 17/36*o**4 - 5/18*o**3 + 2*o + 1/3*o**5 + 0. Factor f(x).
(x + 1)*(4*x + 1)*(5*x - 2)/3
Let r = -4 - -7. Suppose -4*p + 12 + 0 = 0. Factor 2 + r*w**3 - p*w**2 - 5*w + 2*w + w**2.
(w - 1)*(w + 1)*(3*w - 2)
Let f = -1/135 - 854/135. Let t = -5 - f. Factor -4/3*a + 1/3*a**2 + t.
(a - 2)**2/3
Let s(q) be the first derivative of -q**6/30 + 3*q**5/25 - 3*q**4/20 + q**3/15 - 1. Let s(c) = 0. Calculate c.
0, 1
Let x(b) be the second derivative of b**4/4 + 7*b**3 - 45*b**2/2 + 27*b + 1. Suppose x(m) = 0. What is m?
-15, 1
Let b(v) = v + 21. Let s be b(-16). Let o(a) be the first derivative of -32/5*a**s - 2/3*a**3 + 0*a**2 + 3 + 0*a - 4*a**4. What is f in o(f) = 0?
-1/4, 0
Let w(s) be the second derivative of -1/40*s**5 + 3*s - 1/4*s**2 + 0 + 1/12*s**3 + 1/24*s**4. Determine l so that w(l) = 0.
-1, 1
Let w(p) be the second derivative of p**4/4 + p**3 + 3*p**2/2 + 8*p. Factor w(o).
3*(o + 1)**2
Let d(m) be the first derivative of -m**6/8 - 3*m**5/20 + 3*m**4/16 + m**3/4 - 19. Factor d(z).
-3*z**2*(z - 1)*(z + 1)**2/4
Let v(o) be the third derivative of 5*o**9/18144 + o**8/1512 + o**7/1890 - o**5/60 + 2*o**2. Let b(p) be the third derivative of v(p). Let b(u) = 0. What is u?
-2/5, 0
Solve 20*y**3 - 16*y**5 - 11*y**2 - 11*y**2 + 16*y**4 + 10*y**2 = 0.
-1, 0, 1/2, 3/2
Let c(x) be the first derivative of -3*x**4/4 + 13*x**3/3 - 8*x**2 + 4*x + 9. Factor c(i).
-(i - 2)**2*(3*i - 1)
Determine z so that -4/3*z + 4/3*z**2 + z**3 + 0 = 0.
-2, 0, 2/3
Let u(m) be the third derivative of 3*m**6/40 - 7*m**5/20 + 2*m**4/3 - 2*m**3/3 - 2*m**2. Factor u(i).
(i - 1)*(3*i - 2)**2
Let p be 6/(252/6) + 74/70. Let -p*l**3 + 0 + 2/5*l**4 - 4/5*l + 2/5*l**5 - 2*l**2 = 0. Calculate l.
-1, 0, 2
Let g(b) be the second derivative of -b**6/45 - 2*b**5/15 + b**4/9 + 4*b**3/3 - 3*b**2 - 39*b. Factor g(u).
-2*(u - 1)**2*(u + 3)**2/3
Let l = -2/495 - -40/99. Factor 4/5 + 6/5*y + l*y**2.
2*(y + 1)*(y + 2)/5
Solve 0 + 6/5*z + 2/5*z**4 + 14/5*z**2 + 2*z**3 = 0 for z.
-3, -1, 0
Let z be (164/90)/(8/6). Let a = -1/30 + z. Factor 4/3 + a*h + 1/3*h**2.
(h + 2)**2/3
Let v(h) be the third derivative of h**10/100800 + h**9/10080 + h**8/2688 + h**7/1680 - h**5/20 + 6*h**2. Let r(d) be the third derivative of v(d). Factor r(c).
3*c*(c + 1)**2*(c + 2)/2
Let r(b) = 4*b**2 - 32*b + 57. Let g(m) = 2*m**2 - 16*m + 29. Let y(c) = 14*g(c) - 6*r(c). Factor y(o).
4*(o - 4)**2
Determine r, given that -6 + 3 + 4*r**2 + 2*r**2 - 3*r**2 = 0.
-1, 1
Let w(y) be the first derivative of -2*y**3/3 + y**2 - 13. Factor w(b).
-2*b*(b - 1)
Let g(b) = b + 5. Let l be g(-2). Let m be (-2)/l*(-2)/4. Factor 1/3*w**3 + w**2 + m + w.
(w + 1)**3/3
Suppose r + 0*a + 2*a - 6 = 0, -5*a = -10. Suppose j**4 - 1 + r*j**3 + 2*j**3 + 7*j - 9*j - 2*j**3 = 0. What is j?
-1, 1
Let n(j) = -2*j**2 + 4*j - 6. Let h(i) be the first derivative of i**4/4 - i**3/3 - i**2/2 - i - 8. Let z(o) = 2*h(o) - n(o). Factor z(r).
2*(r - 1)**2*(r + 2)
Let o(l) be the first derivative of -l**7/420 + l**6/90 - l**5/60 + l**3/3 - 7. Let c(x) be the third derivative of o(x). Factor c(w).
-2*w*(w - 1)**2
Let o be (-16)/(-6)*(-12)/(-8). Let u(j) be the third derivative of 1/84*j**o + 0*j + 0*j**3 - 2*j**2 + 0 + 1/210*j**5. Determine r, given that u(r) = 0.
-1, 0
Let n(j) = 4*j**2. Let u be n(1). Let r(w) be the second derivative of -w**u + 2*w + 0*w**2 - 9/10*w**5 + 0 - 4/15*w**6 - 1/3*w**3. What is a in r(a) = 0?
-1, -1/4, 0
Let i(m) be the second derivative of -3*m**4/14 - 16*m**3/21 + 4*m**2/7 - 5*m - 4. Factor i(p).
-2*(p + 2)*(9*p - 2)/7
Let g(k) be the third derivative of 4*k**7/105 + k**6/10 + k**5/15 - 13*k**2. Factor g(p).
4*p**2*(p + 1)*(2*p + 1)
Let r = 18 - 12. Factor 8*z + 12*z**2 + r*z**3 + 2*z**4 + 2*z**3 + 4 - 2.
2*(z + 1)**4
Factor -8/5*k**2 + 8/5 - 4/5*k**3 + 4/5*k.
-4*(k - 1)*(k + 1)*(k + 2)/5
Let g(u) be the first derivative of -u**5/20 - 5*u**4/16 - 3*u**3/4 - 7*u**2/8 - u/2 - 2. Find c, given that g(c) = 0.
-2, -1
Let d(j) be the third derivative of j**6/20 + j**5/20 - j**4 - 2*j**3 - 22*j**2. Determine l so that d(l) = 0.
-2, -1/2, 2
Let s(g) be the first derivative of 0*g + g**2 - 1/210*g**5 + 2 + 0*g**4 + 0*g**3 + 1/420*g**6. Let v(x) be the second derivative of s(x). Factor v(l).
2*l**2*(l - 1)/7
Suppose 4*b - 7 + 3 = 4*z, 3*b - 5 = 2*z. Factor -2/3*f**z + 1/3 + 7/6*f.
-(f - 2)*(4*f + 1)/6
Let p(w) be the third derivative of -w**6/24 + 5*w**4/24 + 4*w**2. Find u such that p(u) = 0.
-1, 0, 1
Suppose 2*l + 0 = 2, 5*y = 5*l - 55. Let u = 12 + y. Let -8/3 - 2/3*x**u - 8/3*x = 0. What is x?
-2
Suppose -4*f - 4*a = -12, -2*f = f + 2*a - 8. Let c(p) be the third derivative of -1/6*p**3 + 0*p + 0 + 1/24*p**4 - 3*p**f - 1/240*p**5. What is y in c(y) = 0?
2
Let o(w) be the first derivative of 3/4*w - 3/8*w**2 - 1/8*w**6 + 3/20*w**5 + 3/8*w**4 + 3 - 1/2*w**3. Factor o(l).
-3*(l - 1)**3*(l + 1)**2/4
Let p be 4/10*(10/4 - 2). Determine b, given that -1/5*b**2 + 0 + p*b**4 + 1/5*b**3 - 1/5*b = 0.
-1, 0, 1
Let h(g) be the first derivative of -g**4 + 0*g + 2/3*g**6 + 0*g**2 + 7 + 0*g**5 + 0*g**3. Determine o so that h(o) = 0.
-1, 0, 1
Solve -2/3*m + 1/3 + 1/3*m**2 = 0 for m.
1
Let s be 6/2*16/24. Suppose -s*a - 10 = -7*a. Let -1/3*f + 1/3*f**3 + 2/3*f**a - 2/3 = 0. Calculate f.
-2, -1, 1
Factor 9*j - 3*j - 4*j**2 + 2*j**3 - 2 - 2*j**2.
2*(j - 1)**3
Let g(u) be the third derivative of u**5/300 - u**4/120 - 4*u**2. Determine v so that g(v) = 0.
0, 1
Let h(m) be the first derivative of 6*m**2 - 18*m - 2/3*m**3 - 6. Factor h(i).
-2*(i - 3)**2
Suppose 0 = 2*h - 0*h + 26. Let r be 1 + -2 - 39/h. Suppose 4/5 - 14/5*v - 8/5*v**r = 0. Calculate v.
-2, 1/4
Let c(h) be the first derivative of 1/10*h**4 - 2/3*h**3 + 1 + 8/5*h**2 - 8/5*h. Factor c(m).
2*(m - 2)**2*(m - 1)/5
Let m(o) = -o**2 + 1. Let t(z) = -190*z - 1810. Let x(p) = 5*m(p) + t(p). Factor x(l).
-5*(l + 19)**2
Let h(x) be the second derivative of x**4/5 - 19*x**3/10 - 3*x**2/2 + x + 26. Factor h(n).
3*(n - 5)*(4*n + 1)/5
Let n be (-17220)/2145 - -8 - (-4)/22. Factor 0 - 4/13*s**3 + n*s + 2/13*s**2.
-2*s*(s - 1)*(2*s + 1)/13
Let j(h) be the third derivative of 1/24*h**4 + 4*h**2 + 1/120*h**6 + 0 + 0*h - 1/30*h**5 + 0*h**3. Let j(d) = 0. What is d?
0, 1
Let q(l) = -l**3 + 6*l**2 - 4*l - 3. Let s be q(5). Factor -2/7*t**s - 2/7 + 4/7*t.
-2*(t - 1)**2/7
Let q(z) be the second derivative of z**7/294 + z**6/105 - z**5/70 - 2*z**4/21 - z**3/6 - z**2/7 + 2*z. Factor q(r).
(r - 2)*(r + 1)**4/7
Let k(x) = 0 - 78*x + 77*x - 2. Let p be k(-7). Determine v so that -2/3*v**4 + 2/3*v**2 - 1/3*v + 1/3*v**p + 0*v**3 + 0 = 0.
-1, 0, 1
Let w(q) = 10*q**3 + 6*q**2 - 42*q - 18. Let y(h) = -h**2 + h + 1. Let p(k) = 2*w(k) + 4*y(k). Factor p(o).
4*(o - 2)*(o + 2)*(5*o + 2)
Let a(r) be the third derivative of 1/12*r**3 - 1/240*r**5 + 3*r**2 - 1/96*r**4 + 0*r + 0. Factor a(z).
-(z - 1)*(z + 2)/4
Let x(z) = -20*z**5 - 76*z**4 - 36*z**3 + 60*z**2 + 56*z. 