vative of 11*p**5/5 - 2*p**4/3 - 22*p**3/3 + 4*p**2 - 2*p - 5. Factor k(i).
4*(i - 1)*(i + 1)*(11*i - 2)
Let g be (4/8)/(-5 + (-13)/(-2)). Let s(y) be the first derivative of 1/4*y**4 - 2 + 0*y**2 + g*y**3 + 0*y - 1/6*y**6 - 1/5*y**5. Factor s(o).
-o**2*(o - 1)*(o + 1)**2
Suppose 0 = 152*n - 141*n. Let b(d) be the first derivative of 2/3*d**3 + 0*d**2 + 5 + 5/6*d**6 - 5/4*d**4 - 2/5*d**5 + n*d. Factor b(c).
c**2*(c - 1)*(c + 1)*(5*c - 2)
Suppose u + 2*w + 30 = 0, -112 = 7*u - 3*u + 4*w. Let f = -74/3 - u. Let -1/3*q**3 + f*q**4 - 4/3*q**2 + 0 + 1/3*q = 0. Calculate q.
-1, 0, 1/4, 1
Solve 70*n**3 - 28*n**5 - 4*n**2 + 78*n**5 - 26*n**3 - 140*n**4 + 50*n**5 = 0.
0, 1/5, 1
Suppose -2*l + 16 - 10 = 0. Let p be (3/(-1))/(l - 5). Factor 0 + 0*i - 3/2*i**4 + p*i**2 + 0*i**3.
-3*i**2*(i - 1)*(i + 1)/2
Let r(v) = -3*v**4 - 14*v**3 - 11*v**2 + 7*v + 7. Let k(y) = y**4 + 6*y**3 + 5*y**2 - 3*y - 3. Let c(h) = 14*k(h) + 6*r(h). Find j such that c(j) = 0.
-1, 0, 1
Let o(m) = -3*m**4 + 12*m**3 + 54*m**2 + 60*m + 21. Let q(t) = -9*t**4 + 36*t**3 + 162*t**2 + 180*t + 63. Let w(k) = 7*o(k) - 2*q(k). Factor w(i).
-3*(i - 7)*(i + 1)**3
Let -s**2 + 6*s**2 - 3*s**2 - 6*s + 0*s**2 - 20 = 0. Calculate s.
-2, 5
Let l(r) be the third derivative of -r**7/210 + r**6/30 + r**5/20 - 3*r**4/4 - r**2 + 14*r. Solve l(i) = 0.
-2, 0, 3
Let s(c) = -5*c**2 + 68*c - 39. Let k be s(13). Solve 1/6*a**5 + k*a**4 - 4/3*a**3 + 0 + 8/3*a + 0*a**2 = 0.
-2, 0, 2
Let u(l) = l**3 + 5*l**2 - 3*l + 7. Let g(m) = m**3 + 4*m**2 - 3*m + 6. Suppose -12 = 9*w + 51. Let r(a) = w*g(a) + 6*u(a). Find k such that r(k) = 0.
-1, 0, 3
Let c(s) be the first derivative of -6 + 3/5*s**3 - 6/5*s + 3/10*s**2. Factor c(x).
3*(x + 1)*(3*x - 2)/5
Let h(p) be the first derivative of 0*p**2 - 10 + 0*p - 4/3*p**3 + 5/3*p**4. Factor h(f).
4*f**2*(5*f - 3)/3
Let b be (-9)/(-18)*-29*(0/(-5) - 2). Factor b*j**2 + 56*j**3 + 0 + 49/4*j**4 + 4*j.
j*(j + 4)*(7*j + 2)**2/4
Let g(y) be the second derivative of 0 - 9*y + 0*y**3 + 0*y**2 + 3/20*y**4 + 3/100*y**5. Factor g(i).
3*i**2*(i + 3)/5
Let z(f) be the second derivative of -2*f**7/21 + 8*f**6/3 - 84*f**5/5 + 142*f**4/3 - 214*f**3/3 + 60*f**2 + 7*f - 4. Factor z(o).
-4*(o - 15)*(o - 2)*(o - 1)**3
Let n = 2845/7608 - -1/951. Determine k, given that 9/4*k + n*k**2 + 27/8 = 0.
-3
Let f = -2024 + 2024. Factor 0*x**2 + 1/2*x + f - 1/8*x**3.
-x*(x - 2)*(x + 2)/8
Let s = -59 - -64. Let y(f) be the third derivative of f**2 - 1/12*f**s - 1/12*f**4 - 1/60*f**6 + 0 + 0*f + 0*f**3. Determine a, given that y(a) = 0.
-2, -1/2, 0
Let d be (-66)/14 - (-8)/2. Let o = -1/21 - d. Solve 14/15*p**4 - 4/15 - o*p**2 + 6/5*p**3 - 6/5*p = 0.
-1, -2/7, 1
Let x be (-4)/156*11/22 - (-2)/12. Let z(t) = -t**2 - 7*t + 11. Let r be z(-8). Solve -2/13*b**r - 6/13*b - 6/13*b**2 - x = 0 for b.
-1
Let t = -903 + 907. Let l(j) be the first derivative of -4/3*j**3 + 1/2*j**4 - j**2 - 2 + t*j. Suppose l(a) = 0. What is a?
-1, 1, 2
Let z(g) be the first derivative of -2/3*g**6 + 0*g**5 + 0*g**3 - 8 + 0*g - 2*g**2 + 2*g**4. Factor z(f).
-4*f*(f - 1)**2*(f + 1)**2
Suppose 2*j - 4 + 0 = 0. Suppose 0 = -m + 3*l - 1, 4*l - 13 - 20 = -5*m. Determine r, given that -m*r + 9*r - 5 + 0*r**2 + 6*r + 15*r**j = 0.
-1, 1/3
Let y(i) be the second derivative of -3*i**8/448 - 3*i**7/224 - i**6/144 + 2*i**3 - 8*i. Let z(m) be the second derivative of y(m). Find f, given that z(f) = 0.
-2/3, -1/3, 0
Let y(t) be the first derivative of t**6/36 + 2*t**5/15 - 7*t**3/9 - 17*t**2/12 - t - 226. Determine q, given that y(q) = 0.
-3, -1, 2
Suppose -h + 10 = 4*h. Suppose 2*t = 4 - 0, 4*t - 14 = -h*b. Let -3*f**b - 4*f**2 + 3*f**2 + 2*f**3 = 0. What is f?
-1, 0
Suppose -3*v = 0, j - 5*j = -5*v - 8. Let j - 11/2*f + 7/2*f**2 = 0. What is f?
4/7, 1
Let u = -36 + 38. Let -u*h**5 - 146*h**2 - 207*h - 6*h**3 + 15*h - 72 + 29*h**4 - 11*h**4 = 0. What is h?
-1, 6
Let c = 1808 + -1805. Suppose 1/2*w**4 - 1 + 1/2*w**2 + 3/2*w**c - 3/2*w = 0. Calculate w.
-2, -1, 1
Let v(x) be the second derivative of -27*x**4/16 - 31*x**3/8 - 3*x**2/2 + 127*x + 2. Suppose v(j) = 0. Calculate j.
-1, -4/27
Factor 1/6*i**3 + 2/3*i + 0 + 5/6*i**2.
i*(i + 1)*(i + 4)/6
Solve -1/7*j**4 + 188/7*j + 16*j**2 + 96/7 + 19/7*j**3 = 0 for j.
-2, -1, 24
Let l(q) = -3*q**3 + 4*q**2 - 554*q + 4*q**3 + 557*q + 2. Let c be l(-3). Factor -1/3*p**3 - 7/3*p**c - 5*p - 3.
-(p + 1)*(p + 3)**2/3
Let p(o) be the second derivative of 0 - 1/12*o**4 + 1/60*o**6 - 1/30*o**5 + 3*o + 1/3*o**3 + 5/2*o**2. Let u(i) be the first derivative of p(i). Factor u(v).
2*(v - 1)**2*(v + 1)
Determine u, given that -384/7*u + 122/7*u**2 + 72/7 - 10/7*u**3 = 0.
1/5, 6
Let c(l) be the second derivative of 0 - 1/5*l**2 + 3*l - 1/60*l**4 + 1/10*l**3. Factor c(s).
-(s - 2)*(s - 1)/5
Let i(v) be the second derivative of 1/210*v**5 - 5/63*v**3 + 0 - 6*v + 1/315*v**6 - 1/42*v**4 - 2/21*v**2. Factor i(p).
2*(p - 2)*(p + 1)**3/21
Suppose 12*u - 8*u = 160. Let 6*s - u*s**5 - 594*s**3 + 4 - 126*s**4 + 460*s**3 - 27*s**2 - 19*s**2 = 0. What is s?
-1, -2/5, 1/4
Let u(p) = -3*p**5 + 9*p**4 + 24*p**3 - 6*p**2 - 30*p - 6. Let m(s) = -3*s**5 + 10*s**4 + 25*s**3 - 5*s**2 - 31*s - 7. Let o(f) = 6*m(f) - 7*u(f). Factor o(c).
3*c*(c - 2)**2*(c + 1)*(c + 2)
Let z(o) be the second derivative of o**7/16380 + o**6/2340 - 2*o**4/3 + 2*o. Let y(p) be the third derivative of z(p). Suppose y(x) = 0. What is x?
-2, 0
Factor 0*c + 555 - 30*c - 555 - 2*c**2.
-2*c*(c + 15)
Let n(g) = -g**4. Let j(i) be the first derivative of -4*i**5/5 + i**4 + 2*i**3/3 - 10. Let w(z) = j(z) - 6*n(z). Let w(t) = 0. Calculate t.
-1, 0
Suppose -185/4*l + 1/4*l**2 - 93/2 = 0. What is l?
-1, 186
Let l = -343/697 + 25/41. Find b, given that -6/17*b**2 + l*b + 4/17 = 0.
-2/3, 1
Let r(t) be the third derivative of 0*t - 1/1620*t**6 + 0*t**4 + 1/2*t**3 - 1/270*t**5 + 0 + 4*t**2. Let o(u) be the first derivative of r(u). Factor o(v).
-2*v*(v + 2)/9
Let y = -1915/2 - -960. Factor 1/2*w - y*w**2 + 0 + 2*w**3.
w*(w - 1)*(4*w - 1)/2
Let q(b) be the second derivative of -b**7/189 - 2*b**6/135 + 11*b**5/90 + 4*b**4/27 - 20*b**3/27 - 16*b**2/9 - b - 59. Let q(i) = 0. What is i?
-4, -1, 2
Let b = 109670557/604 - 181573. Let i = b - 3/151. Find c such that 1/4*c**2 + i*c + 0 = 0.
-3, 0
Let m = 4 + -4. Suppose -3*t + 2*t - 5 = m, -3*t - 9 = 2*z. Find o, given that -11*o**z + 0*o**5 + o**5 + 3*o + 5*o**3 + 2*o**5 = 0.
-1, 0, 1
Suppose 30 = -10*r + 15*r. Let h be 3 + (r/(-8) - 2). Factor 0 + 3/8*k**2 + 1/8*k**3 + h*k.
k*(k + 1)*(k + 2)/8
Let g(s) be the first derivative of 1/26*s**4 - 2/13*s**2 + 2/39*s**3 + 24 + 0*s. Suppose g(l) = 0. What is l?
-2, 0, 1
Let g(k) = 35*k**3 - 100*k**2 - 130*k + 255. Let y(l) = -9*l**3 + 25*l**2 + 32*l - 64. Let c(u) = -4*g(u) - 15*y(u). Let c(m) = 0. Calculate m.
-2, 1, 6
Let y be (81/(-36))/((-6)/8). Factor 8 - 100*q**2 + 5*q**3 - 35*q + 10*q**y - 8.
5*q*(q - 7)*(3*q + 1)
Solve 3 - 3/2*a**2 + 3/2*a = 0 for a.
-1, 2
Factor -40*p + 35*p**4 - 972*p**5 + 1941*p**5 - 90*p**3 - 974*p**5 + 100*p**2.
-5*p*(p - 2)**3*(p - 1)
Let k(r) be the third derivative of 0*r**3 + 0 + 0*r + 1/36*r**5 - 5/24*r**4 + 13*r**2. Determine t, given that k(t) = 0.
0, 3
Let b(f) = -f**2 + 10*f - 9. Let w(q) = 29*q + q - 26 - q - 3*q**2. Let a(d) = -17*b(d) + 6*w(d). Factor a(o).
-(o - 3)*(o - 1)
Suppose 12 = -4*l + 32. Let q(s) = -s**3 + s**2 - s + 1. Let n(f) = -25*f**3 + 80*f**2 - 45*f - 10. Let m(r) = l*q(r) - n(r). What is o in m(o) = 0?
-1/4, 1, 3
Suppose 0 = 3*l + 6, 2*j - 2*l + 21 = 7*j. Suppose -j*d + 9*d - d = 0. Factor -4/11*u**3 - 2/11*u**5 + 6/11*u**4 + 0 + d*u + 0*u**2.
-2*u**3*(u - 2)*(u - 1)/11
Let r(s) = 16*s**3 - 116*s**2 + 12*s + 24. Let f(i) = -3*i**3 + 23*i**2 - 2*i - 5. Let a(y) = 24*f(y) + 5*r(y). Let a(c) = 0. Calculate c.
0, 1/2, 3
Suppose 3*s = 5*n + 35, -2*s = 2*s + 2*n - 12. Suppose -s*h = h. Suppose 3*u**2 + 6*u - 8*u - u**3 + 0 + h = 0. What is u?
0, 1, 2
Suppose 0 = 3*b + 5*k - 25, -3*b - 3*k = 80 - 95. Let d(n) be the second derivative of -1/5*n**5 + 0*n**2 - 1/3*n**4 + 3*n + b + 0*n**3. Factor d(q).
-4*q**2*(q + 1)
Let g be 2/(-28) - (-17 + (-575)/(-35)). Suppose 0*v - g + v**2 + 0*v**3 - 1/2*v**4 = 0. What is v?
-1, 1
Let i(c) be the first derivative of c**4/14 - 6*c**3/7 - c**2/7 + 18*c/7 - 365. Factor i(a).
2*(a - 9)*(a - 1)*(a + 1)/7
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