b - 96/7 + 2/7*b**2.
2*(b - 16)*(b + 3)/7
Let t(i) be the first derivative of 6*i + 5 + 0*i**2 - 1/9*i**4 - 7/30*i**5 + 0*i**3. Let h(f) be the first derivative of t(f). Factor h(l).
-2*l**2*(7*l + 2)/3
Let w(p) = 2*p - 7. Let h be w(7). Suppose -73 = -5*a + h. Factor a*j - 7*j - 3*j**2 + 5*j**2 - 7*j.
2*j*(j + 1)
Let o be 386/12 - (-3)/(-18). Find z such that -6*z**2 - z + 2*z**2 + 4*z + o - 11*z = 0.
-4, 2
Let p(u) = u**2 + u - 9. Let w be p(-5). Factor 0*k**2 - 4*k**4 - k**2 - 3*k**3 + w*k**3 - 4*k**3.
-k**2*(2*k - 1)**2
Factor -155*a**2 - 16 - 12*a + 300*a**2 - 147*a**2.
-2*(a + 2)*(a + 4)
Let a be (1/3)/((-143)/209). Let v = -2/13 - a. Factor -4/3 + 4/3*g - v*g**2.
-(g - 2)**2/3
Let l(a) be the second derivative of a**7/189 + 2*a**6/45 + 2*a**5/15 + 5*a**4/27 + a**3/9 + 32*a - 3. Factor l(t).
2*t*(t + 1)**3*(t + 3)/9
Let t(s) = 27*s**2 + 1781*s + 156678. Let m(g) = -5*g**2 - 356*g - 31335. Let q(i) = -33*m(i) - 6*t(i). Factor q(p).
3*(p + 177)**2
Let v(i) be the second derivative of -4*i**4/3 + i**3 - i**2/2 - 8*i. Let x(j) = -3*j**2 + j. Let q(o) = -6*v(o) + 33*x(o). Factor q(u).
-3*(u - 1)*(u + 2)
Let z = -285/7 + -1448/21. Let v = z - -115. Let 3*j + 8*j**4 - v*j**5 + 7/3*j**3 - 23/3*j**2 - 1/3 = 0. Calculate j.
-1, 1/4, 1
Let z(h) be the second derivative of -h**6/1260 - h**5/210 - h**4/84 - h**3/63 + 49*h**2/2 - 8*h. Let c(q) be the first derivative of z(q). Factor c(s).
-2*(s + 1)**3/21
Suppose 266 - 828*v - 159*v**2 - 12*v**5 - 3*v**4 + 58 - 441*v**2 - 20*v**4 - 21*v**4 + 520*v**3 = 0. What is v?
-9, -1, 1/3, 3
Let w(i) be the first derivative of i**4/14 - 6*i**3/7 - 22*i**2/7 + 14. What is o in w(o) = 0?
-2, 0, 11
Solve 170*t - 175*t + 5 + 5 - 5*t**2 = 0 for t.
-2, 1
Let x(p) be the third derivative of 0*p + 0*p**3 + 0 - 5*p**2 + 1/6*p**4 - 1/15*p**5. Factor x(v).
-4*v*(v - 1)
Let f(v) be the first derivative of -v**3/2 - 6*v**2 + 99*v/2 - 433. Determine r, given that f(r) = 0.
-11, 3
Let s(z) be the first derivative of -8*z + 6*z**2 - 11 - 4/3*z**3. Factor s(y).
-4*(y - 2)*(y - 1)
Solve 192/5*j - 18/5*j**2 + 66/5 = 0 for j.
-1/3, 11
Let o(q) be the second derivative of -3*q**6/50 - 3*q**5/100 - q - 22. Factor o(x).
-3*x**3*(3*x + 1)/5
Suppose -5*q - 5*u - 20 = 0, q + 2*u + 2 = -7. Let l be q/(15/42)*4. Find t, given that l*t**2 - 98/5*t**5 - 56/5*t**4 + 8/5*t + 18*t**3 + 0 = 0.
-1, -2/7, 0, 1
Let r(v) be the third derivative of v**5/150 - 7*v**4/60 + 2*v**3/3 + 98*v**2. Factor r(n).
2*(n - 5)*(n - 2)/5
Let k(o) be the second derivative of o**7/14 + o**6/10 - 3*o**5/4 - 5*o**4/4 + 2*o**3 + 6*o**2 - 27*o - 2. Suppose k(b) = 0. What is b?
-2, -1, 1, 2
Let z(b) be the second derivative of -b**4/36 - 32*b**3/9 + 65*b**2/6 - 88*b. Factor z(v).
-(v - 1)*(v + 65)/3
Let -3*s - 6*s**2 + 2*s**5 + s**5 - 27*s**3 + 3*s + 24*s**3 + 6*s**4 = 0. Calculate s.
-2, -1, 0, 1
Let s(g) be the second derivative of g**7/63 + g**6/45 - g**5/30 - g**4/18 + 3*g + 23. Solve s(z) = 0 for z.
-1, 0, 1
Let b = 76 + -83. Let s(w) = -2*w**3 - 14*w**2 + 2*w + 16. Let v be s(b). Determine j so that -1/3*j**v + 0 + 1/3*j**3 - 1/3*j + 1/3*j**4 = 0.
-1, 0, 1
Suppose 0 = 8*v + 47 - 71. Let k(f) be the third derivative of 1/80*f**5 + 0*f + 6*f**2 + 0 + 1/4*f**v + 3/32*f**4. Let k(r) = 0. What is r?
-2, -1
Let y = 59 + -53. What is b in -y - b**4 + 2*b + 6*b**3 + 3*b**2 + 2 - 6*b - 4*b**3 = 0?
-1, 2
Let v = 1/118 + -109/19824. Let s(i) be the third derivative of -v*i**8 - 5*i**2 + 0 + 0*i + 0*i**4 + 0*i**3 + 0*i**5 + 0*i**6 + 1/210*i**7. Solve s(y) = 0.
0, 1
Let b(p) be the third derivative of p**5/12 + 25*p**4/24 - 69*p**2. Suppose b(y) = 0. What is y?
-5, 0
Suppose -3*k + 16 = 5*k. Suppose k*b - 2 = 4*q - 14, -q = 5*b - 3. Solve 3/4*i**2 + 1/2*i**q - 1 - i - 1/4*i**4 = 0 for i.
-1, 2
Let c(m) = m**2 + 17*m - 60. Let b be c(-20). Suppose b = -229*w + 232*w - 6. Factor -1/2*a**w + 0*a + 2.
-(a - 2)*(a + 2)/2
Suppose -7*n = -4*n - 12. Suppose 3*t - 5 = n*o - 3*o, t - o + 1 = 0. Factor -2*c**3 + 4*c**5 - 3*c**5 - 3*c**5 - 2*c + 6*c**t.
-2*c*(c - 1)**2*(c + 1)**2
Let n = -109 - -112. Let g(c) be the third derivative of 5*c**2 - 1/180*c**4 + 0*c**n + 1/450*c**5 + 0 + 0*c. Factor g(f).
2*f*(f - 1)/15
Let z(a) be the second derivative of a**6/30 - a**5/5 + a**4/6 + 2*a**3/3 - 3*a**2/2 - 5*a + 8. Factor z(b).
(b - 3)*(b - 1)**2*(b + 1)
Let r be (24/(-18))/(4/(-9)). Solve 11*c**3 - 14*c**r - 4*c - 8*c**2 + 0*c = 0 for c.
-2, -2/3, 0
Let g be -1*7*(-16)/56. Let j(i) be the first derivative of 0*i + 1/10*i**5 - 1/2*i**4 + 8 + 5/6*i**3 - 1/2*i**g. Factor j(x).
x*(x - 2)*(x - 1)**2/2
Let z(r) be the second derivative of r**4/27 + 200*r**3/27 + 22*r**2 + 4*r + 8. Factor z(m).
4*(m + 1)*(m + 99)/9
Factor 15/7*o**3 - 3/7*o**4 + 0 + 9/7*o - 3*o**2.
-3*o*(o - 3)*(o - 1)**2/7
Let o(q) = q + 2. Let n be o(-2). Let z be (-3)/6*(n - 6). Factor -k**z + 9*k - 10 + 16 - 2*k**3.
-3*(k - 2)*(k + 1)**2
Suppose -7*g + 38 = 24. Factor -3 + 6*w**2 + 3*w**2 - 4*w**g - 2*w**2.
3*(w - 1)*(w + 1)
Let c(j) be the third derivative of 18*j**2 + 1/270*j**6 + 1/945*j**7 + 0 - 1/270*j**5 - 1/54*j**4 + 0*j + 0*j**3. Suppose c(n) = 0. What is n?
-2, -1, 0, 1
Suppose -5*r - 44 = 2*d + 5, 3*r = -9. Let f be 1/(d/8 - -3). Let 6/7*n**2 + f*n**3 + 2/7*n**4 - 8/7*n - 8/7 = 0. Calculate n.
-2, -1, 1
Let w(p) be the third derivative of p**7/3 - 127*p**6/20 + 151*p**5/15 + 7*p**4 - 40*p**3/3 + 459*p**2. Suppose w(y) = 0. Calculate y.
-2/5, 2/7, 1, 10
Let h(s) = s**2 + s - 1. Let g(p) = -p**2 - 3*p - 3. Let c be g(-2). Let v(w) = -11*w - 6 + 7*w**2 - 3*w**2 + 17*w. Let k(d) = c*v(d) + 6*h(d). Factor k(j).
2*j**2
Let u(l) be the second derivative of -6*l**6/5 - 13*l**5/5 + 32*l**4/3 + 104*l**3/3 + 32*l**2 - 174*l. Solve u(p) = 0 for p.
-2, -1, -4/9, 2
Let n(k) be the third derivative of 0*k + 0*k**3 + 1/150*k**5 + 0 + 24*k**2 - 7/150*k**6 + 7/75*k**7 + 0*k**4. Factor n(q).
2*q**2*(7*q - 1)**2/5
Let z(v) be the second derivative of -16*v - 6/65*v**5 + 0 + 2/39*v**3 + 1/26*v**4 + 7/195*v**6 + 0*v**2. Suppose z(i) = 0. What is i?
-2/7, 0, 1
Let s(x) = -84*x**2 + 448*x - 364. Let d(h) = -13*h**2 + 69*h - 56. Suppose -2*y - r + 34 = -30, -32 = -y + r. Let z(l) = y*d(l) - 5*s(l). Factor z(g).
4*(g - 7)*(g - 1)
Let z be 20/(-2)*(-2)/(-35) + 1. Suppose -3*y - 3*c = -4*y + 3, 3*y - c - 1 = 0. Factor 3/7*m**5 - 6/7*m**4 + 0*m**3 - z*m + 6/7*m**2 + y.
3*m*(m - 1)**3*(m + 1)/7
Let d(r) = 3*r**2 + 6*r - 2. Let m be 2*((-25)/15)/((-4)/(-6)). Let b(i) be the first derivative of i - 1. Let c(l) = m*b(l) - d(l). What is s in c(s) = 0?
-1
Let i = 89/385 - -3/55. Let g be (8/70)/((-321)/(-45) - 7). Factor -6/7*a - i*a**3 + g*a**2 + 2/7.
-2*(a - 1)**3/7
Let z(n) be the third derivative of n**8/1176 + n**7/147 + n**6/84 - n**5/42 - n**4/14 - 36*n**2 + 3. Solve z(c) = 0 for c.
-3, -2, -1, 0, 1
Let l = 211/693 - 16/99. Factor l*g**3 + 0*g**2 + 0 - 1/7*g.
g*(g - 1)*(g + 1)/7
Let m(i) = -3*i - 19. Let g be m(-7). What is k in 256 + 2*k**3 + g*k**3 - 26*k**2 + 192*k + 74*k**2 = 0?
-4
Let h(l) be the first derivative of -2*l**3/27 + 14*l**2/9 - 98*l/9 - 134. Suppose h(t) = 0. Calculate t.
7
Let o(p) be the first derivative of 9*p**5/5 + 9*p**4/4 + 13*p + 1. Let f(m) = -2*m**4 - 2*m**3 - 3. Let t = -58 + 84. Let x(r) = t*f(r) + 6*o(r). Factor x(b).
2*b**3*(b + 1)
Suppose 4*z - 16 - 4 = 0. Suppose 0 = -z*l + 6*l - 3. Factor m**3 + 0*m + l*m**2 + 4*m + 2*m - 4*m.
m*(m + 1)*(m + 2)
Let o(t) = t**3 - 10*t**2 - 11*t + 4. Let k be o(11). Find r such that -4*r**5 + 1 + 0 + 4*r**4 - k*r + 8*r**3 + 2 - 8*r**2 + 1 = 0.
-1, 1
Let y be 24/(-14)*84/(-24). Let v(b) be the second derivative of 0 - b**3 - y*b + 1/12*b**4 + 9/2*b**2. Factor v(l).
(l - 3)**2
Let d(s) be the second derivative of 0 + 0*s**2 - 7/75*s**6 + 0*s**4 + 0*s**3 - 1/25*s**5 + 31*s. Let d(j) = 0. What is j?
-2/7, 0
Solve 1/2*b**4 - 67/2 - 100*b - 99*b**2 - 32*b**3 = 0 for b.
-1, 67
Solve 12*o + 0 + 16*o**2 + 13/3*o**3 + 1/3*o**4 = 0 for o.
-6, -1, 0
Let d be 8/20*9 + 12/(-20). Let r(v) be the third derivative of 4*v**2 + 1/8*v**4 + 0*v + 0 - 1/10*v**5 - 1/40*v**6 + v**d. Factor r(s).
-3*(s - 1)*(s + 1)*(s + 2)
Let t(v) = 8*v**4 + 5 + 20*v**2 - 28*v**4 + 4*v**3 + v**3 - 5*v. Let s(a) = -10*a**4 + 2*a**3 + 10*a**2 - 2*a + 3. Let q(i) = -5*s(i) + 3*t(i). Factor q(x).
-5*x*(x - 1)*(x + 1)*(2*x -