 - 1)**2*(l + 1)**2
Let z = -3 + 3. Suppose z*w = -3*w. Suppose -4*a**3 + 2*a**5 - 2*a**3 + 4*a**2 + w*a**2 = 0. Calculate a.
-2, 0, 1
Let k be 3/(-7) + (-68)/(-28). Suppose k*t = 5*w - 14, t = 2*t + 2. Factor 0 - w*h**2 - 14/5*h**3 - 6/5*h**4 - 2/5*h.
-2*h*(h + 1)**2*(3*h + 1)/5
Let m be 7 - 6 - (-1)/3. Factor 2/9*r**5 + 0 + 8/9*r**2 + 8/9*r**4 + 2/9*r + m*r**3.
2*r*(r + 1)**4/9
Let k(i) = i + 7. Let j be k(-3). Let g(f) be the second derivative of 1/30*f**j + 2/15*f**3 + 0 - 4*f + 1/5*f**2. Factor g(u).
2*(u + 1)**2/5
Let w(l) be the first derivative of -l**5/50 + l**4/30 + l**3/15 - l**2/5 - 3*l + 1. Let h(f) be the first derivative of w(f). Suppose h(y) = 0. What is y?
-1, 1
Let r(u) be the first derivative of u**3/18 - 3. Solve r(p) = 0.
0
Let o(k) be the first derivative of -7*k**3/5 + 3*k**2/5 + 2. Factor o(v).
-3*v*(7*v - 2)/5
Let t = -323/18 + 166/9. Let o = -68 - -139/2. Let -o*z - t*z**2 - 1 = 0. What is z?
-2, -1
Let o be 5*(-1 + 39/15). Suppose -9 = -3*u - 21, 2*u = -5*t - o. Factor 4/7*v**3 + 0*v + 2/7*v**2 + 2/7*v**4 + t.
2*v**2*(v + 1)**2/7
Let v(j) = -j**2 + 10*j + 24. Let g be v(12). Factor 1/4*b**2 - 1/4*b**4 - 1/4*b**3 + g + 1/4*b.
-b*(b - 1)*(b + 1)**2/4
Let j(x) be the second derivative of x**4/6 - 4*x**3/3 - 12*x**2 + 4*x. Factor j(c).
2*(c - 6)*(c + 2)
Let m(u) = 123*u**2 + 99*u - 15. Let b(h) = -31*h**2 - 25*h + 4. Let y(a) = 9*b(a) + 2*m(a). Solve y(c) = 0.
-1, 2/11
Let m(v) be the second derivative of -v**5/4 - 5*v**4/6 + 5*v**3/6 + 5*v**2 + 16*v. Factor m(l).
-5*(l - 1)*(l + 1)*(l + 2)
Let t = -1 - -5. Factor 5*s**2 - t*s**2 - 4*s + s**2 + 2.
2*(s - 1)**2
Let m be (-2)/6 + (-1)/(-2). Let b(d) be the first derivative of -m*d**4 + 4/9*d**3 + 2 + 0*d + 0*d**2. Factor b(h).
-2*h**2*(h - 2)/3
Factor 0*b**2 + 3/2*b**5 - 3*b**4 + 0*b - 9/2*b**3 + 0.
3*b**3*(b - 3)*(b + 1)/2
Factor -1029/5 + 441/5*n - 63/5*n**2 + 3/5*n**3.
3*(n - 7)**3/5
Let g(n) be the second derivative of n**3 + 1/10*n**5 + 0 + 3*n + 1/2*n**4 + n**2. Factor g(w).
2*(w + 1)**3
Suppose 12*l - 6 = 10*l. Let t(q) be the first derivative of 1/4*q + 1/16*q**4 - 3 - 1/12*q**l - 1/8*q**2. Solve t(g) = 0.
-1, 1
Let o be 7/(70/(-8)) - -2. Factor 0*h + 2/5 - o*h**2 + 4/5*h**3.
2*(h - 1)**2*(2*h + 1)/5
Let j(d) = 41*d**3 + 21*d**2 - 28*d - 8. Let n be (-2)/2*(-26)/(-2). Let m(v) = 20*v**3 + 10*v**2 - 14*v - 4. Let z(q) = n*m(q) + 6*j(q). Factor z(f).
-2*(f - 1)*(f + 1)*(7*f + 2)
Let h(v) be the third derivative of 0 + v**2 - 1/450*v**5 - 1/180*v**4 + 0*v**3 + 0*v. Find o, given that h(o) = 0.
-1, 0
Let r(t) be the first derivative of -1/3*t**3 + 0*t**2 - 1/6*t**4 + 2*t + 1. Let j(q) be the first derivative of r(q). Factor j(n).
-2*n*(n + 1)
Suppose 2*p = -3*p - 2*n + 10, 0 = -3*n - 15. Let r = 222/55 - 40/11. Factor -r*t**p + 4/5*t**3 - 2/5*t**2 + 0*t + 0.
-2*t**2*(t - 1)**2/5
Let j(a) be the first derivative of -2*a**5/25 - 7. Factor j(c).
-2*c**4/5
Let -53*g**2 + 34*g**2 + 27*g**2 - 2*g**3 - 8 + 2*g + 0*g**3 = 0. Calculate g.
-1, 1, 4
Let y(v) be the second derivative of v + 0 + 1/48*v**4 + 1/24*v**3 + 0*v**2 - 1/80*v**5 - 1/120*v**6. Factor y(n).
-n*(n - 1)*(n + 1)**2/4
Let f be (-14)/(-21) - 14/(-6). Let j be ((-49)/f)/7 - -3. Let 1/3*s**4 + 5/3*s**2 + 4/3*s**3 + 0 + j*s = 0. What is s?
-2, -1, 0
Let v(f) = f**3 + f**2 + f + 3. Let o be v(0). Let u(b) be the second derivative of 1/21*b**o + 0*b**2 + 0 + 1/42*b**4 + 2*b. Find q, given that u(q) = 0.
-1, 0
Let w(i) be the third derivative of 4*i**2 + 0*i**4 + 0 + 0*i**3 - 1/100*i**5 + 0*i. Suppose w(j) = 0. What is j?
0
Let b be -13 + 8 + 122/24. Let o(t) be the first derivative of -1/8*t**2 + 1/2*t - b*t**3 - 4. Let o(a) = 0. Calculate a.
-2, 1
Let o(v) be the second derivative of v**8/2520 - v**7/420 + v**5/45 + v**3/6 + 3*v. Let c(g) be the second derivative of o(g). What is i in c(i) = 0?
-1, 0, 2
Let z(p) be the second derivative of p**6/120 - 3*p**5/80 + p**4/16 - p**3/24 + 39*p. Factor z(r).
r*(r - 1)**3/4
Let r(p) be the second derivative of -p**4/48 - p**3 - 18*p**2 - 14*p. Factor r(t).
-(t + 12)**2/4
Let b(h) be the third derivative of h**9/120960 - h**7/3360 + h**6/720 - h**5/60 + 4*h**2. Let g(p) be the third derivative of b(p). Factor g(o).
(o - 1)**2*(o + 2)/2
Suppose -11 = 2*t - 4*t - l, 5*l = 5*t - 35. Let s(u) be the third derivative of -4*u**2 + 3/4*u**4 + 0*u + 0 + 2/3*u**3 + 1/12*u**t + 2/5*u**5. Factor s(h).
2*(h + 1)**2*(5*h + 2)
Let o(p) be the first derivative of 4*p**3/9 + 7*p**2/6 - 2*p/3 + 18. Factor o(l).
(l + 2)*(4*l - 1)/3
Let m(d) be the third derivative of -d**5/330 - d**4/66 - 27*d**2. Factor m(k).
-2*k*(k + 2)/11
Let s be 2*1 - (1 - 3). Let t**s - 2*t**3 + 2*t**4 + 3*t**2 - 2*t**4 - t - t**3 = 0. What is t?
0, 1
Suppose 0 = w - 6 - 0. Let v(c) = -4*c**3 - 2*c + 3. Let g(h) = 7*h**3 + 3*h - 5. Let j be 184/18 + (-2)/9. Let q(a) = j*v(a) + w*g(a). Solve q(d) = 0.
-1, 0, 1
Let t(f) be the third derivative of -f**2 - 1/1680*f**8 + 0*f**3 + 0 + 0*f**7 + 1/600*f**6 + 0*f**4 + 0*f**5 + 0*f. Factor t(i).
-i**3*(i - 1)*(i + 1)/5
Let g(y) be the second derivative of -y**4/18 + 2*y**3/3 - 3*y**2 - 4*y. What is t in g(t) = 0?
3
Let a(r) be the second derivative of -r**6/45 - r**5/3 - 11*r**4/6 - 40*r**3/9 - 16*r**2/3 - 26*r. Factor a(d).
-2*(d + 1)**2*(d + 4)**2/3
Suppose -5*f = -3*a - 4, -2*a - 1 = -3*f + 1. Suppose 14 = -a*h + 20. Factor b + 2/3 - 2/3*b**2 - b**h.
-(b - 1)*(b + 1)*(3*b + 2)/3
Let x(r) be the second derivative of 80*r**4/3 - 40*r**3 + 45*r**2/2 - 6*r. What is s in x(s) = 0?
3/8
Let s(r) = 4*r**4 + 2*r**3 - 5*r**2 - 3*r + 3. Let k(c) = -15*c**4 - 7*c**3 + 19*c**2 + 11*c - 11. Let n(u) = 6*k(u) + 22*s(u). Suppose n(v) = 0. What is v?
-1, 0, 2
Let v(n) be the second derivative of n**6/10 - 3*n**5/20 - n**4/4 + n**3/2 - 2*n. Solve v(p) = 0 for p.
-1, 0, 1
Let m = 136 + -136. Factor -2/11*k**3 + m*k + 0*k**2 + 0 - 4/11*k**4.
-2*k**3*(2*k + 1)/11
Let p(l) be the second derivative of 3/40*l**5 - 1/20*l**6 + 1/84*l**7 + 4*l + 0*l**2 + 0*l**3 + 0 - 1/24*l**4. Factor p(w).
w**2*(w - 1)**3/2
Let n(i) be the second derivative of -2*i**4/33 - i**3/33 + i. Solve n(m) = 0.
-1/4, 0
Factor 3*h**2 + 3*h**2 + 4*h**4 + 8*h + 14*h**2 - 10*h**3 + 26*h**3.
4*h*(h + 1)**2*(h + 2)
Let r(n) be the third derivative of n**8/616 - 2*n**7/385 + n**6/220 - 24*n**2. Solve r(f) = 0.
0, 1
Factor -4/9 + 10/9*c + 2/9*c**4 - 2/9*c**3 - 2/3*c**2.
2*(c - 1)**3*(c + 2)/9
Factor 2/7*r**2 - 2/7*r**4 + 0 - 2/7*r + 2/7*r**3.
-2*r*(r - 1)**2*(r + 1)/7
Factor -4*t**3 - 2*t**3 - 3*t**2 - 7*t**3 - 3*t**4 + 7*t**3.
-3*t**2*(t + 1)**2
Let x = -30/813989 + 22168322376/3960056485. Let q = x + 2/973. Solve 0*m + 0 + 6/5*m**4 + 0*m**2 - 4/5*m**3 + q*m**5 = 0 for m.
-1/2, 0, 2/7
Let m(y) = 20*y**3 + 32*y**2 - 32. Let x(r) = -3*r**3 - 5*r**2 + 5. Let l(t) = -5*m(t) - 32*x(t). Factor l(s).
-4*s**3
Let j = 23 - 21. Factor -3*x - 3 + 2*x**j + 6*x - 5*x - x**2.
(x - 3)*(x + 1)
Let d(h) be the third derivative of -h**6/780 - h**5/195 - h**4/156 - 5*h**2. Solve d(k) = 0 for k.
-1, 0
Suppose -6 = -5*j + 9. Determine q so that -12 + 3*q**3 + j*q**3 + 30 + 14*q**2 - 4*q**3 + 30*q = 0.
-3, -1
Let y = 18 - 18. Let p(v) be the third derivative of 1/168*v**8 - v**2 + 0 + 0*v**5 + 0*v**6 + y*v + 0*v**3 + 0*v**4 + 0*v**7. Factor p(q).
2*q**5
Let g be 0 - 2/(-4)*6. Let o(q) be the first derivative of -1/2*q + 2 + 1/4*q**2 + 1/6*q**g - 1/8*q**4. Find b such that o(b) = 0.
-1, 1
Let n(c) be the second derivative of -c**4/12 - c**3/3 + 3*c**2/2 - 3*c. Let u be n(-3). Solve -1/2*o**3 + u*o + o**4 + 0*o**2 + 0 = 0.
0, 1/2
Let -12*d**2 + 3*d**5 + 24*d**3 + 46 - 46 - 15*d**4 = 0. What is d?
0, 1, 2
Let n(j) be the first derivative of 1 - 1/4*j**4 + 2/3*j**3 + 0*j - 2/5*j**5 + 1/2*j**2. Suppose n(z) = 0. What is z?
-1, -1/2, 0, 1
Determine n, given that 1/2*n**2 - 2 + 0*n = 0.
-2, 2
Let m(x) be the third derivative of x**7/30 + x**6/24 - 3*x**5/20 - 5*x**4/24 + x**3/3 - 18*x**2. Factor m(l).
(l - 1)*(l + 1)**2*(7*l - 2)
Factor -6/11*g - 2/11*g**2 - 4/11.
-2*(g + 1)*(g + 2)/11
Let r be (-46)/12 - (-5 - -1). Let b = 1/3 + r. Suppose 1/2*f**4 + 0*f**2 + 0*f + 0 - b*f**3 = 0. What is f?
0, 1
Factor 1/9*q**3 + 0 + 0*q**2 - 1/9*q.
q*(q - 1)*(q + 1)/9
Factor -3 + 10*b**2 - b + 3*b**3 - 7*b**2 - 2*b.
3*(b - 1)*(b + 1)**2
Let j(r) = 3*r**4 - 5*r**3 - 3*r**2 