erivative of o**6/15 - 2*o**5/25 - o**4/10 + 2*o**3/15 + 4. Factor d(b).
2*b**2*(b - 1)**2*(b + 1)/5
Let a = -1 - -9. Suppose -6*j + a = -2*j. Factor -2*b**4 + 0 + 0*b + 4/7*b**j - 10/7*b**3.
-2*b**2*(b + 1)*(7*b - 2)/7
Suppose -z + 2 = -0*z. Factor -6*q + 22*q**2 + 9*q**4 - 30*q**3 + 0*q**z - 4*q**5 + 9*q**4.
-2*q*(q - 1)**3*(2*q - 3)
Let x be (1 - -5)/(1/(-2)). Let n be (-8)/x + 2/6. Factor -1 - 4*z + n + z**2 + z**2 + 2.
2*(z - 1)**2
Let a(k) = -5*k**3 - 7*k**2 - 4*k. Let w(z) = 6*z**3 + 8*z**2 + 5*z + 1. Let p(f) = 5*a(f) + 4*w(f). Solve p(r) = 0.
-2, 1
Let z = 28 + -28. Let r(d) be the second derivative of -d + z + 0*d**3 - 1/3*d**4 + 0*d**2 - 1/10*d**5. Factor r(a).
-2*a**2*(a + 2)
Let s(u) = 12*u**3 - 12*u**2 - 31*u - 7. Let r(f) be the first derivative of -f**4 + 4*f**3/3 + 5*f**2 + 2*f - 2. Let c(i) = 7*r(i) + 2*s(i). Factor c(x).
-4*x*(x - 2)*(x + 1)
Let m = 99155/33 - 3005. Let u = 2/33 - m. Solve 2/11 + 2/11*a**4 - u*a**2 + 0*a**3 + 0*a = 0.
-1, 1
Let b = -2 - -7. Suppose -2*y - 1 = -7. Suppose -2 + 3*j**4 - 3*j**5 - y*j + 5 - j**3 - 6*j**2 + b*j**3 + 2*j**3 = 0. What is j?
-1, 1
Let a = -6 - -22. Determine z so that 30*z**4 - a*z**2 + 3*z - 29*z**3 + 5*z + 7*z**3 = 0.
-2/3, 0, 2/5, 1
Let j(r) be the third derivative of -3*r**6/40 + r**5/10 + 3*r**4/8 - r**3 - 7*r**2. Find a such that j(a) = 0.
-1, 2/3, 1
Let w(r) be the third derivative of -3*r**5/40 - r**4/2 + 3*r**3/4 + 72*r**2. Factor w(j).
-3*(j + 3)*(3*j - 1)/2
Let d(b) be the first derivative of -25*b**6/2 - 74*b**5 - 245*b**4/2 - 140*b**3/3 + 85*b**2/2 + 30*b - 18. Find i such that d(i) = 0.
-3, -1, -1/3, 2/5
Suppose -1 = s - 3. Find d such that 0*d**3 + 4*d**3 + 3*d**4 - 4*d**3 - 3*d**s = 0.
-1, 0, 1
Let h(m) be the first derivative of -2 + 2/25*m**5 + 0*m + 0*m**2 + 1/5*m**4 + 2/15*m**3. Factor h(c).
2*c**2*(c + 1)**2/5
Solve 0*j + 0 + 1/5*j**4 - 1/5*j**3 - 1/5*j**2 + 1/5*j**5 = 0.
-1, 0, 1
Factor 0*n - 2/7*n**2 - 6/7*n**3 - 6/7*n**4 - 2/7*n**5 + 0.
-2*n**2*(n + 1)**3/7
Let o(w) = -w**5 - 5*w**4 + 3*w**3 + 11*w**2 + 4*w + 6. Let x(c) = 2*c**5 + 10*c**4 - 5*c**3 - 21*c**2 - 8*c - 11. Let u(r) = -11*o(r) - 6*x(r). Factor u(h).
-h*(h - 1)*(h + 1)**2*(h + 4)
Determine t, given that 0 - 350/13*t**5 + 32/13*t - 880/13*t**4 - 336/13*t**3 + 64/13*t**2 = 0.
-2, -2/5, 0, 2/7
Let t = 5 + -4. Let o be 3/60 - t/(-5). Factor -o*w**2 - 1/2*w - 1/4.
-(w + 1)**2/4
Suppose 3*n = a + 5, -5*n + 4*a = -2*n - 2. Factor 0 - 3/2*i**3 - 3*i + 9/2*i**n.
-3*i*(i - 2)*(i - 1)/2
Let a be (-2 - -3)*-2 - -4. Suppose 32*t - 1 - 15 - 12*t**2 + t**a - t**2 = 0. Calculate t.
2/3, 2
Let c(a) be the second derivative of a**4/30 + a**3/5 + 2*a**2/5 + 8*a. Factor c(v).
2*(v + 1)*(v + 2)/5
Let j = -9/22 - -28/55. Let k(v) be the first derivative of 2/5*v - j*v**4 + 2/5*v**3 + 2 - 3/5*v**2. Factor k(w).
-2*(w - 1)**3/5
Let x(k) be the first derivative of -k**8/1512 - k**7/315 - k**6/180 - k**5/270 - 3*k**2/2 - 2. Let f(s) be the second derivative of x(s). Factor f(y).
-2*y**2*(y + 1)**3/9
Suppose 0 = -4*u + 8 + 8. Let n(c) be the third derivative of 1/90*c**5 + 2*c**2 - 1/180*c**6 + 0*c + 0*c**3 - 1/315*c**7 + 1/36*c**u + 0. Factor n(r).
-2*r*(r - 1)*(r + 1)**2/3
Let k(m) be the first derivative of 3 - 10/3*m**3 + 4*m + 6/5*m**5 + m**2 - 1/2*m**4. Let k(h) = 0. Calculate h.
-1, -2/3, 1
Let m(o) = -o**2 + 16*o + 21. Let s be m(17). Suppose s*k - 28 = -4*g, -10 = -g - g - k. Factor -13/2*i**g + 6*i**2 + 0 - 1/2*i**5 + 3*i**4 - 2*i.
-i*(i - 2)**2*(i - 1)**2/2
Factor -26*v**2 - 21*v**2 + 48*v**2 - v**3 - 2*v**3 + 3*v - v**4.
-v*(v - 1)*(v + 1)*(v + 3)
Let f = -31 + 16. Let s = -9 - f. Factor -8*h**2 + 0 - 8/3*h - s*h**3.
-2*h*(3*h + 2)**2/3
Let b(g) be the second derivative of -7*g**6/30 - 3*g**5/2 - 3*g**4 - 4*g**3/3 + 4*g + 3. Suppose b(a) = 0. Calculate a.
-2, -2/7, 0
Let a(r) be the third derivative of 3*r**2 + 0*r + 1/6*r**3 + 5/48*r**4 + 1/30*r**5 + 0 + 1/240*r**6. Factor a(c).
(c + 1)**2*(c + 2)/2
Find g such that 1/5*g**5 - 1/5*g**4 - g**3 + 4/5 + 8/5*g + 1/5*g**2 = 0.
-1, 2
Determine u so that 2 - 9/2*u - 1/2*u**3 + 3*u**2 = 0.
1, 4
Let x(t) = -9*t**4 - 4*t**3 + 3*t**2 + 7*t. Suppose -1 = -f + 2. Let d(h) = 10*h**4 + 4*h**3 - 2*h**2 - 8*h. Let u(l) = f*d(l) + 4*x(l). Factor u(b).
-2*b*(b - 1)*(b + 1)*(3*b + 2)
Factor -12*r**4 + 14*r**4 - 4*r**4.
-2*r**4
Let p = 29 + -86/3. Suppose -6*m - 10*m + 32 = 0. Suppose -1/3*y - p*y**3 - 2/3*y**m + 0 = 0. Calculate y.
-1, 0
Let h(v) be the third derivative of -v**6/660 - v**5/110 - v**4/66 + 3*v**2. Factor h(u).
-2*u*(u + 1)*(u + 2)/11
Suppose i - 4*i = -9. Solve -2*j**4 + 5*j - 4*j**2 - 10*j**i + 5*j**5 + 2 + 0*j**2 + 4*j**4 = 0 for j.
-1, -2/5, 1
Factor 1/5*s**3 + 27/5*s + 27/5 + 9/5*s**2.
(s + 3)**3/5
Let d(k) be the first derivative of 1 - 2/55*k**5 + 0*k + 1/11*k**2 + 2/33*k**3 - 1/22*k**4. Factor d(t).
-2*t*(t - 1)*(t + 1)**2/11
Let d(j) be the third derivative of -j**9/1512 + j**7/420 - j**3/6 - 7*j**2. Let k(w) be the first derivative of d(w). Solve k(a) = 0.
-1, 0, 1
Let w(k) be the second derivative of 0 - 1/6*k**3 - k - 3/4*k**2 - 1/72*k**4. Factor w(b).
-(b + 3)**2/6
Let o(g) be the second derivative of -g**5/100 + g**4/15 + 54*g. Factor o(k).
-k**2*(k - 4)/5
Suppose -2*r - 12 = 2*r. Let v = 9 + r. Determine w so that 3*w**3 - 1/2*w**4 + 0 - v*w**2 + 4*w = 0.
0, 2
Let f be (8*9/(-90))/((-28)/10). Find p, given that -2/7*p**2 - f - 4/7*p = 0.
-1
Let u(i) be the second derivative of 5*i**7/21 + 13*i**6/15 + 9*i**5/10 - i**4/6 - 2*i**3/3 + 13*i. Determine r so that u(r) = 0.
-1, 0, 2/5
Suppose -8 = w - 5*w. Let x = 1 + w. Suppose -2*p**x - 2*p**2 - 4*p**2 - p**3 + 5*p**2 = 0. Calculate p.
-1/3, 0
Let h(w) = 2*w + 3. Let n be h(4). Determine t so that -6*t**4 + 11*t**3 - 15*t**5 - n*t**3 = 0.
-2/5, 0
Let c(z) be the second derivative of 2*z**7/21 - 2*z**6/15 - z**5 + z**4/3 + 16*z**3/3 + 8*z**2 + 7*z. Find g such that c(g) = 0.
-1, 2
Let j be 232/840 - (-2)/(-14). Let i(u) be the first derivative of 0*u + j*u**3 - 3 - 1/5*u**2. Factor i(f).
2*f*(f - 1)/5
Let y(w) be the second derivative of -w**7/70 + 9*w**5/100 + w**4/10 - 3*w. Factor y(k).
-3*k**2*(k - 2)*(k + 1)**2/5
Suppose 5*w - 39 = g + 41, -71 = -3*w - 4*g. Factor 18 - 30*a - 26*a - 9*a + 32*a**2 + w*a.
2*(4*a - 3)**2
Let m be ((-20)/(-48))/((-70)/(-126)). Let -3/4*i**2 + 3/2*i - m = 0. What is i?
1
Let s be (-48)/(-180)*(-3)/(-8). Let t(v) be the first derivative of -1/5*v**2 - 2 + 0*v + 4/15*v**3 - s*v**4. Factor t(a).
-2*a*(a - 1)**2/5
Let r = -363 + 196. Let p = 505/3 + r. Factor 1/3*t**3 + p + 8/3*t + 5/3*t**2.
(t + 1)*(t + 2)**2/3
Let l(u) be the third derivative of 0*u + 1/15*u**3 - 1/120*u**4 + 0 - 1/300*u**5 - 2*u**2. Solve l(f) = 0.
-2, 1
Let t be 20/8 + (-4)/(-8). Let g(r) be the second derivative of -1/16*r**4 + 0 + 0*r**2 + 2*r - 1/24*r**t. Factor g(u).
-u*(3*u + 1)/4
Let w(s) = -s**3 - s**2 + s + 1. Let h be w(-2). Factor -t**3 + h*t**4 - 5*t**3 + 3*t**2 - 6*t**4 + 3*t + 3*t**3.
-3*t*(t - 1)*(t + 1)**2
Suppose 9 = -3*d, 0*a + a + 4 = -d. Let c = 3 + a. Determine i, given that 1/4*i**c - 1/4*i + 0 = 0.
0, 1
Let n(b) = b**4 + 25*b**3 + 53*b**2 + 19*b. Let x(j) = -3*j**4 - 63*j**3 - 132*j**2 - 48*j. Let i(o) = -12*n(o) - 5*x(o). Factor i(l).
3*l*(l + 1)*(l + 2)**2
Let f(k) be the second derivative of -k - 3/100*k**5 - 3/5*k**2 + 0 + 3/10*k**3 + 0*k**4. Factor f(n).
-3*(n - 1)**2*(n + 2)/5
Factor -8*o**2 - 28*o**2 - 8*o + o**2 + 11*o**2 - 10*o**3.
-2*o*(o + 2)*(5*o + 2)
Let a(y) be the third derivative of y**6/720 + y**5/72 + y**4/18 + y**3/9 - 3*y**2. Solve a(d) = 0 for d.
-2, -1
Suppose -2/7*y**2 - 6/7*y - 4/7 = 0. What is y?
-2, -1
Let x(t) be the third derivative of -t**5/90 + 4*t**3/9 + 7*t**2. Factor x(c).
-2*(c - 2)*(c + 2)/3
Let c(s) = -s**5 - s**4 - s**3 + s**2. Let h(t) = -3*t**5 - 9*t**4 - 12*t**3 + 6*t**2. Let r(v) = 6*c(v) - h(v). Factor r(k).
-3*k**3*(k - 2)*(k + 1)
Let q = -1 - -4. Let u(c) = c**4 - 15*c**3 - 23*c**2 - 17*c - 2. Let o(m) = 15*m**3 + 24*m**2 + 18*m + 3. Let p(k) = q*u(k) + 4*o(k). Factor p(j).
3*(j + 1)**3*(j + 2)
Suppose -2*s - 1 = -1. Let y(p) be the second derivative of s - 1/10*p**5 - 1/12*p**3 - 1/40*p**6 + 0*p**2 - 2*p - 7/48*p**4. Factor y(n).
-n*(n + 1)**2*(3*n + 2)/4
Let 4/9*r**2 - 2/9*r - 4/9*r**4 + 0 + 2/9*r**5 + 0*r**3 = 0. What is r?
-1, 0, 1
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