et l(b) be the first derivative of s(b). Factor l(n).
-3*(n - 1)**3*(n + 1)
Let b(y) be the first derivative of y**6/220 - 4*y**5/165 + y**4/33 - 3*y**2/2 - 3. Let u(r) be the second derivative of b(r). Factor u(j).
2*j*(j - 2)*(3*j - 2)/11
Let f(l) = -l + 2. Let o(q) = -q**2 + q + 1. Suppose -3*z - 7 = 5*w, -6*z + 4*w = -z - 13. Let h(r) = z*f(r) - o(r). Factor h(c).
(c - 1)**2
Let y(n) be the second derivative of -1/72*n**4 + 1/36*n**3 + 0*n**2 + 0 - 4*n. Factor y(b).
-b*(b - 1)/6
Let h = 0 - -1. Let k be 6*1*(0 + h). Suppose 5*s**2 + 2*s**3 - 2*s + k*s + s**2 = 0. Calculate s.
-2, -1, 0
Let -5*i**4 - 58 - 65 + 70*i**3 + 420*i - 57 - 29*i**2 - 276*i**2 = 0. Calculate i.
1, 6
Let y(b) = 2*b**2 - 4*b - 4. Let p be y(4). Factor -z**3 - z**2 - 1 + 0*z**3 + p*z - 2*z**2 - 15*z.
-(z + 1)**3
Let m be 4/(-6) - -1*(-68)/(-12). Factor 0 + 0*f - 2/5*f**2 - 8/5*f**m + 6/5*f**3 + 0*f**4.
-2*f**2*(f + 1)*(2*f - 1)**2/5
Let c(g) be the first derivative of -1/15*g**6 + 4/3*g**3 + 2/5*g**5 + 2 - g**4 - g**2 + g. Let n(v) be the first derivative of c(v). Solve n(o) = 0 for o.
1
Let z(i) be the second derivative of -3*i**5/130 - i**4/39 + 7*i**3/39 - 2*i**2/13 - 6*i. Determine s so that z(s) = 0.
-2, 1/3, 1
Let o = -8/15 - -17/15. Factor o + 1/5*a**2 + a - 1/5*a**3.
-(a - 3)*(a + 1)**2/5
Let z be ((-10)/75*-1)/4. Let q(k) be the third derivative of 0*k + 0*k**3 + k**2 - z*k**5 + 1/12*k**4 + 0. Suppose q(b) = 0. Calculate b.
0, 1
Solve 0 - 2/7*l**2 + 0*l = 0 for l.
0
Let b(u) be the second derivative of -u**6/10 - 3*u**5/70 + 4*u. Let b(f) = 0. Calculate f.
-2/7, 0
Let l(g) = -5*g**2 + 45*g - 37. Let d be l(8). Factor -252/5*v**2 + 136/5*v - 16/5 - 162/5*v**d.
-2*(v + 2)*(9*v - 2)**2/5
Factor 1/3*n**3 - 1/3*n**2 - 1/3*n + 1/3.
(n - 1)**2*(n + 1)/3
Let y(j) be the third derivative of -5*j**5/4 + 5*j**4/4 - j**3/2 - 4*j**2. Factor y(f).
-3*(5*f - 1)**2
Let n(g) be the first derivative of 0*g**2 - 2/3*g**3 + 2/5*g**5 - 1/2*g**4 + 0*g - 2 + 1/3*g**6. Solve n(r) = 0.
-1, 0, 1
Let g(l) be the first derivative of 1/30*l**4 + 1/15*l**3 + 0*l**2 - 1/50*l**5 - 2*l - 1/75*l**6 + 4. Let i(a) be the first derivative of g(a). Solve i(o) = 0.
-1, 0, 1
Let i be (-9)/(-2) + 1/2. Let q = 9 - i. Let c**3 + 3*c**q - c - 2*c**4 + 0*c**2 - c**2 = 0. Calculate c.
-1, 0, 1
Suppose -2*s - 8 = -6*s. Let w be (-32)/(-60) - s/10. Let -h**2 + 0 - w*h = 0. What is h?
-1/3, 0
Suppose -5*n - 4*y - 5 = -2*y, 4*y = -n - 19. Let b be (5 - n) + (-35)/10. Determine o, given that -1/4*o + b - 1/2*o**2 + 1/4*o**3 = 0.
-1, 1, 2
Let g(y) be the third derivative of 0 + 0*y**3 - 3*y**2 - 7/40*y**6 + 0*y - 1/4*y**4 + 9/20*y**5. Factor g(s).
-3*s*(s - 1)*(7*s - 2)
Let p be (-10)/(-3) + 4/6. Factor -2*v - 2*v**2 + 1 + 2 - 7 + p*v**2.
2*(v - 2)*(v + 1)
Let m(s) = -4*s**3 + 24*s**2 - 72*s + 48. Let b(d) = -d**3 + d**2 - d - 1. Let l(i) = 2*b(i) - m(i). Find n, given that l(n) = 0.
1, 5
Let b(z) be the second derivative of -z**8/3360 - z**7/560 - z**6/240 - z**5/240 - z**3/2 - z. Let s(g) be the second derivative of b(g). Solve s(r) = 0 for r.
-1, 0
Let z(s) = s + 3. Let l be z(0). Let o(x) be the second derivative of -1/60*x**5 + 0*x**4 + 0*x**2 + 1/45*x**6 + 0*x**l - 1/126*x**7 + 0 + 2*x. Factor o(v).
-v**3*(v - 1)**2/3
Let p(i) = -6*i**5 + 26*i**3 - 32*i**2 + 16*i + 3. Let b(j) = 5*j**5 + j**4 - 25*j**3 + 31*j**2 - 16*j - 2. Let c(f) = -7*b(f) - 6*p(f). Factor c(l).
(l - 2)**2*(l - 1)**3
Let x(j) be the second derivative of -j**5/120 + j**3/12 + j**2/6 - 3*j. Let x(c) = 0. What is c?
-1, 2
Let h be 0/((-4 - -1) + 2). Suppose h = -3*d - 0*d + 6. Find k, given that k**5 + 4*k**d + 13*k**5 + 12*k**4 + 20*k**4 + 22*k**3 = 0.
-1, -2/7, 0
Let j be (2/(-48))/((-4)/8). Let h(r) be the first derivative of r + 1/2*r**2 - 1 + j*r**3. What is g in h(g) = 0?
-2
Suppose b = -5*y + 20, -4*y = -2*y - 2. Let f be 4/10 + 24/b. Suppose 2*u**2 - 2 - 5*u**f + 5*u**2 = 0. Calculate u.
-1, 1
Let b(m) be the third derivative of m**6/180 - 7*m**5/360 + m**4/72 + m**3/36 + 3*m**2. Factor b(r).
(r - 1)**2*(4*r + 1)/6
Let d(w) be the second derivative of -w**9/90720 + w**7/15120 - w**4/12 + w. Let i(n) be the third derivative of d(n). Factor i(a).
-a**2*(a - 1)*(a + 1)/6
Let d = -448/5 - -90. Determine i so that -6/5*i + d*i**2 + 4/5 = 0.
1, 2
Let a(f) be the third derivative of 0 - 3*f**2 - 1/24*f**4 - 1/60*f**6 - 1/20*f**5 + 0*f**3 + 0*f. Factor a(x).
-x*(x + 1)*(2*x + 1)
Factor 12/11*b**3 + 2/11*b + 2/11*b**5 + 0 + 8/11*b**4 + 8/11*b**2.
2*b*(b + 1)**4/11
Let l(s) be the third derivative of s**6/840 + s**5/420 - s**4/168 - s**3/42 - 16*s**2. Find h, given that l(h) = 0.
-1, 1
Let g(c) be the second derivative of 0*c**2 - 1/30*c**3 + 2*c - 1/15*c**4 + 0. Factor g(b).
-b*(4*b + 1)/5
Find x such that 4 - 2 + 0*x**2 - 2*x**2 = 0.
-1, 1
Factor -4/7*i**2 - 144/7 - 48/7*i.
-4*(i + 6)**2/7
Suppose 0*m + 0 - 1/5*m**4 + 0*m**3 + 1/5*m**2 = 0. Calculate m.
-1, 0, 1
Determine v so that 441/2*v**2 - 42*v + 2 = 0.
2/21
Factor 14/13*k**2 + 6/13*k**3 + 4/13*k + 0.
2*k*(k + 2)*(3*k + 1)/13
Let d(n) be the first derivative of n**7/105 - n**6/60 - n**5/30 + n**4/12 - n**2 - 4. Let m(z) be the second derivative of d(z). Factor m(q).
2*q*(q - 1)**2*(q + 1)
Let 108/5*w**2 + 4*w**4 + 54/5*w + 72/5*w**3 + 2/5*w**5 + 0 = 0. Calculate w.
-3, -1, 0
Let i(t) be the first derivative of 5*t**6/9 - 16*t**5/15 + t**4/6 + 4*t**3/9 - 1. Determine f so that i(f) = 0.
-2/5, 0, 1
Factor -4 - 5 - 3*w**2 + 4 + 8*w**2.
5*(w - 1)*(w + 1)
Let q(t) = -t + 4. Let y be q(0). Determine a so that -a**3 + 5*a**3 - 3*a**4 + 2*a**y - 3*a**3 = 0.
0, 1
Suppose h - 8 = -h. Suppose -h*j + 5*j - 3 = 0. Find a such that 1/2*a + 0 + 2*a**j + 3/4*a**4 + 7/4*a**2 = 0.
-1, -2/3, 0
Suppose h - z - z + 38 = 0, 2*h - 3*z + 79 = 0. Let p be -3 + (h/(-28) - -2). Factor -2/7*m**5 + 0*m - 6/7*m**4 + 0*m**2 + 0 - p*m**3.
-2*m**3*(m + 1)*(m + 2)/7
Factor -19 + 38 - z**2 - 28 - 6*z.
-(z + 3)**2
Let n be 2/(0 - (-2 + 1)). Let w(m) = -2*m**n - 2*m - m + 2*m - m. Let y(g) = -g**3 + g**2 + 2*g. Let p(f) = -3*w(f) - 2*y(f). Factor p(z).
2*z*(z + 1)**2
Let l(i) be the first derivative of 2*i**5/15 - i**4 + 2*i**3 + 13. Find a such that l(a) = 0.
0, 3
Let l be 1/(-2) - 1/(-1). Let d = -19 + 21. Find w such that l*w - w**d + 0 = 0.
0, 1/2
Let t = -7 + 15. Factor -t - 1/2*c**2 - 4*c.
-(c + 4)**2/2
Let r = -82 + 248/3. Factor -2/3*j**4 + 0 - 1/3*j**5 + 0*j**3 + 1/3*j + r*j**2.
-j*(j - 1)*(j + 1)**3/3
Let z(w) be the first derivative of -3*w**5/7 - 33*w**4/14 - 4*w**3 - 12*w**2/7 + 15. Determine i so that z(i) = 0.
-2, -2/5, 0
Let o be 4/16 + 2/(-8). Let p(s) be the second derivative of 1/18*s**4 + 1/30*s**5 + o*s**3 + 2*s + 0*s**2 + 0. Let p(h) = 0. What is h?
-1, 0
Let h = -98/3 - -33. Suppose 5*y - 4*l = -2, 2*l = 5*y - l - 1. Solve -1/3*t**y + 1/3 + h*t - 1/3*t**3 = 0 for t.
-1, 1
Let f = 4656/7 - 664. Suppose -6/7*j**2 + 0 + f*j**3 - 2/7*j = 0. What is j?
-1/4, 0, 1
Let s(k) be the first derivative of 1/20*k**5 + 0*k**2 + 0*k**3 - 2 - 3*k + 0*k**4. Let q(b) be the first derivative of s(b). Suppose q(a) = 0. Calculate a.
0
Let k(t) be the second derivative of -t**7/42 - 2*t**6/15 - t**5/10 + t**4/3 + t**3/2 - 2*t + 22. Factor k(g).
-g*(g - 1)*(g + 1)**2*(g + 3)
Let j be ((-6)/8)/(16/(-64)). Let g(r) be the first derivative of r**2 - j - 4*r + 2/3*r**3. Factor g(h).
2*(h - 1)*(h + 2)
Let z = 15 - -119. Let t = -1472/11 + z. Determine n, given that 2/11 - 2/11*n**2 - t*n**3 + 2/11*n = 0.
-1, 1
Let v(r) be the second derivative of -2*r**7/21 + 6*r**5/5 + 8*r**4/3 + 2*r**3 - 11*r. Solve v(n) = 0 for n.
-1, 0, 3
Let z(k) be the third derivative of k**7/7560 - k**6/1080 - k**4/4 + 3*k**2. Let q(s) be the second derivative of z(s). Factor q(r).
r*(r - 2)/3
Let w be -3 + 5 + (-1 - -4). Factor 4*v**2 - v**2 + v**3 - w*v**2 - 2*v**4 + 3*v**3.
-2*v**2*(v - 1)**2
Factor -3/4 + 3/8*h**2 - 3/8*h.
3*(h - 2)*(h + 1)/8
Factor 0 - 3/4*t**3 + 1/4*t**2 + 1/2*t.
-t*(t - 1)*(3*t + 2)/4
Find n, given that -4*n - 17*n**2 - 16*n + 4*n**3 - 3*n**2 + 5*n**4 + n**3 = 0.
-2, -1, 0, 2
Let x(j) be the first derivative of 1/20*j**5 - 8 + 0*j + 1/16*j**4 + 0*j**3 + 0*j**2. Factor x(v).
v**3*(v + 1)/4
Factor 1/2*z**3 + 0 + 1/2*z**2 + 0*z - 1/2*z**5 - 1/2*z**4.
-z**2*(z - 1)*(z + 1)**2/2
Let b(l) = 3*l**2 - 8*l + 2. Let f(u) = -2*u**2 