 2*d**2 - 1/4*d**j + 1/20*d**5 + 0*d**3 - 2*d + 0. Factor u(o).
(o - 2)**2*(o + 1)
Let h be 0/((18/(-42))/(6/(-42))). Factor 1/2*g**5 + h + 0*g**4 + 0*g**2 + 1/2*g - g**3.
g*(g - 1)**2*(g + 1)**2/2
Let o(r) be the third derivative of 7*r**6/1080 - 89*r**5/360 - 13*r**4/36 + 8*r**3/3 + r**2 - 9. Let h(x) be the first derivative of o(x). Factor h(g).
(g - 13)*(7*g + 2)/3
Let c(n) = 2*n**3 + 7*n**2 - 4*n + 1. Let s be c(-4). Let w be -2 + 0 + s + 1. Solve 3*j**3 - 3*j + 3*j**2 + 0*j**4 + w*j**4 + 3*j**4 - 6*j**2 = 0.
-1, 0, 1
Suppose 2*x = -5*a + 49, -5*x + 0*a = 2*a - 70. Let q = x + -23/2. Factor -q*u**2 - 3/2 - 2*u.
-(u + 1)*(u + 3)/2
Let l(k) be the first derivative of -1/4*k**2 - 1/4*k - 13 - 1/12*k**3. Factor l(q).
-(q + 1)**2/4
Suppose 2*i = -4*r + 18, 0*r + 2*r = 3*i - 11. Let 84*p**3 - 32*p**4 - 141*p**5 - 373*p**5 + 28*p**5 + 5*p**4 - 12*p**r = 0. Calculate p.
-1/2, 0, 2/9
Let m be 28/60 + 14/(-105). Find n such that m*n**2 - 1/6*n - 1/3*n**4 + 1/6*n**5 + 0*n**3 + 0 = 0.
-1, 0, 1
Factor 106/11*p + 2/11*p**2 - 108/11.
2*(p - 1)*(p + 54)/11
Let x be 6 + (54/(-24) + 9/3 - 4). Factor x*a**3 + 0 - 9/4*a**4 + 4*a**2 - a.
-a*(a - 2)*(a + 1)*(9*a - 2)/4
Let q(l) be the second derivative of 5*l**7/21 - l**6/2 - 2*l**5 + 65*l**4/12 - 10*l**2 + 24*l + 3. Determine y, given that q(y) = 0.
-2, -1/2, 1, 2
Factor -10/17 - 2/17*m**2 - 12/17*m.
-2*(m + 1)*(m + 5)/17
Let h(u) be the third derivative of 1/30*u**6 - 1/12*u**4 + 0 + 0*u**3 - 7*u**2 - 1/168*u**8 + 0*u + 0*u**7 + 0*u**5. Factor h(y).
-2*y*(y - 1)**2*(y + 1)**2
Factor 147*x + 228*x + 212*x - 59*x - 4*x**2 - 6890 - 10534.
-4*(x - 66)**2
Let r = -127/72 + 15/8. Let c(d) be the second derivative of -9*d + r*d**3 - 1/60*d**5 - 1/36*d**4 + 0*d**2 + 0. Factor c(u).
-u*(u - 1)*(u + 2)/3
Let l(w) be the second derivative of 0 + 0*w**3 + 1/4*w**4 - 2*w - 3/2*w**2. Solve l(b) = 0.
-1, 1
Let y be (-3)/(3*-1)*(-180)/20. Let p be (y/(-3))/(-1) - (-3 - 0). Factor -2/5*a**4 + 2/5*a + 2/5*a**2 - 2/5*a**3 + p.
-2*a*(a - 1)*(a + 1)**2/5
Let a(y) be the second derivative of y**5/2 - 13*y**4/3 - 25*y**3/3 + 6*y**2 - 81*y. Determine q so that a(q) = 0.
-1, 1/5, 6
Let y(t) = 2*t**4 + 48*t**3 + 128*t**2 + 123*t + 53. Let i(o) = -o**4 + o**3 + o**2 - 4*o + 1. Let z(l) = -3*i(l) + y(l). Suppose z(w) = 0. Calculate w.
-5, -2, -1
Let d(g) be the first derivative of -2*g**3/33 - 63*g**2/11 - 124*g/11 + 257. Factor d(o).
-2*(o + 1)*(o + 62)/11
Suppose 2*z + 3*o + 8 = 0, 9 = -z + 2*z - 5*o. Let m(c) = -c + 3. Let v be m(z). What is b in 2*b**2 + 8/3*b - 4/3*b**3 - 8/3 - 2/3*b**v = 0?
-2, 1
Let b(r) be the second derivative of 7/20*r**5 + 3/10*r**6 + 0 - 11/12*r**4 + r**2 - 7/6*r**3 + r. Factor b(o).
(o - 1)*(o + 1)**2*(9*o - 2)
Let d(c) be the first derivative of -c**8/336 - c**7/105 - c**6/120 - 11*c**2/2 - 18. Let f(t) be the second derivative of d(t). Factor f(r).
-r**3*(r + 1)**2
Let n(i) = i**3 - i**2 - i + 1. Let m(z) = -5*z**3 + 35*z**2 - 10*z**3 - 3*z**3 + 5 + z**3 + 3*z. Let h(s) = -2*m(s) + 10*n(s). Suppose h(c) = 0. What is c?
-2/11, 0, 2
Suppose 0 = -225*s + 229*s - 104. Let w be s/(-4) + 28 + -21. Factor 1/2*u**2 - 1/2*u + w*u**3 - 1/2.
(u - 1)*(u + 1)**2/2
Let p(c) = 2*c**2 + 19*c + 10. Let m(q) be the second derivative of q**3/6 + 17*q. Let l(t) = -14*m(t) + 2*p(t). Factor l(d).
4*(d + 1)*(d + 5)
Let s(x) be the first derivative of 2*x**5/75 - x**4/30 - 2*x**3/5 - 11*x**2/15 - 8*x/15 - 69. What is j in s(j) = 0?
-1, 4
Suppose 2*i - 8*i = -24. Suppose -10*h**3 - h**3 + h + h**2 + 2*h**3 + 0*h - 4*h**5 + 11*h**i = 0. Calculate h.
-1/4, 0, 1
Let w(d) be the first derivative of d**8/1512 + d**7/945 - d**6/270 - 25*d**2/2 - 35. Let t(v) be the second derivative of w(v). Factor t(y).
2*y**3*(y - 1)*(y + 2)/9
Suppose 29 = 3*y - 5*n, n - 6 = -2*n. Determine r so that 22*r**2 - 11*r**2 - 8*r - y*r**2 = 0.
-4, 0
Let c be (-7)/((-42)/(-24)) + (-896)/(-196). Factor 36/7 - c*v**2 - 32/7*v.
-4*(v - 1)*(v + 9)/7
Let d(c) be the second derivative of -c**4/3 - 22*c**3/3 - 5*c + 9. Factor d(f).
-4*f*(f + 11)
Factor 75 + 6*k**3 + 5*k**2 - 75 - k**2 + 2*k**4.
2*k**2*(k + 1)*(k + 2)
Let i(d) = 3*d**5 + 6*d**4 - 11*d**2 - 13*d. Let t(m) = m**5 + 2*m**4 - 5*m**2 - 7*m. Let r(f) = -3*i(f) + 5*t(f). Factor r(k).
-4*k*(k - 1)*(k + 1)**3
Suppose l + 7 = -5*s + 3, -5*l + s = -32. Factor -34*z**2 + 31*z**2 - 6*z + 3*z**3 + 12 - l*z.
3*(z - 2)*(z - 1)*(z + 2)
Let n(d) be the first derivative of -3*d**4/2 + 182*d**3/3 + 63*d**2 - 62*d + 554. Determine y so that n(y) = 0.
-1, 1/3, 31
Let a be (-1674)/(-189) + 1/7. Let q(c) be the first derivative of a + c**2 + 0*c**3 - 3/2*c**4 + 0*c - 4/5*c**5. Find v such that q(v) = 0.
-1, 0, 1/2
Factor 0 + 2/9*l**4 + 0*l**2 - 2/9*l**3 + 4/9*l**5 + 0*l.
2*l**3*(l + 1)*(2*l - 1)/9
Let r(c) be the second derivative of -c**5/180 - c**4/27 - 5*c**3/54 - c**2/9 + 3*c - 9. Factor r(b).
-(b + 1)**2*(b + 2)/9
Let q(m) be the second derivative of m**8/6720 - m**7/504 + m**6/240 + 3*m**5/40 - 11*m**4/6 - 28*m. Let i(k) be the third derivative of q(k). Factor i(y).
(y - 3)**2*(y + 1)
Let h(o) be the second derivative of -o**5/10 - 7*o**4/6 + 245*o**3/3 - 1029*o**2 - 649*o. Let h(l) = 0. What is l?
-21, 7
Let c(l) be the third derivative of -l**8/168 + 4*l**7/105 - l**6/15 - l**5/15 + 5*l**4/12 - 2*l**3/3 - 176*l**2 + 2*l. What is o in c(o) = 0?
-1, 1, 2
Let o(w) be the third derivative of w**6/80 - 67*w**5/40 + 1155*w**4/16 - 1089*w**3/4 - 8*w**2 - 35. Factor o(j).
3*(j - 33)**2*(j - 1)/2
Suppose -39 = -v + 20. Factor 5*d**2 - v*d - 3*d**2 + 61*d.
2*d*(d + 1)
Factor 36/7 + 48/7*d + 3/7*d**3 + 3*d**2.
3*(d + 2)**2*(d + 3)/7
Let f(m) be the second derivative of m**5/420 + 5*m**4/84 - 16*m**2 - 8*m. Let s(v) be the first derivative of f(v). Factor s(g).
g*(g + 10)/7
Let s = 77 + -73. Factor -5*l**2 - l**4 - s*l**4 + 25*l**3 + 102 - 557*l + 452*l - 12.
-5*(l - 3)**2*(l - 1)*(l + 2)
Let f be 969/(-19)*1/((-18)/23). Let j = -125/2 + f. Factor 0 + 10/9*q**5 + 0*q + 2*q**3 - j*q**4 - 4/9*q**2.
2*q**2*(q - 1)**2*(5*q - 2)/9
Let z(b) be the first derivative of -10*b + 11/2*b**2 - 46 - 1/3*b**3. Factor z(h).
-(h - 10)*(h - 1)
Let w(r) be the first derivative of 0*r**4 - 1/5*r**5 + r**2 - 1/15*r**6 + 2/3*r**3 + 8 + 5*r. Let f(z) be the first derivative of w(z). Factor f(h).
-2*(h - 1)*(h + 1)**3
Let o(a) be the second derivative of -8*a + 1/4*a**4 + 5/2*a**3 + 0 + 6*a**2. Factor o(k).
3*(k + 1)*(k + 4)
Let s = -2/787 - -1580/2361. Factor s + 5/6*l**2 - 2*l.
(l - 2)*(5*l - 2)/6
Let n(k) = -2*k**2 + 2*k - 8. Let w be (-1)/(-1) + -5 + (-4 - -4). Let f(q) = q**2 - 1. Let d(z) = w*f(z) - n(z). Factor d(s).
-2*(s - 2)*(s + 3)
Let q(s) be the first derivative of -2*s**5/5 - 13*s**4/2 - 20*s**3 + 4*s**2 + 80*s + 94. Suppose q(g) = 0. Calculate g.
-10, -2, 1
Let n(x) = x**4 - x**3 - x**2 + 1. Let b = 74 + -73. Let q(v) = -v**4 - 14*v**3 + 21*v**2 + 20*v - 26. Let z(r) = b*q(r) + 6*n(r). Factor z(w).
5*(w - 2)**2*(w - 1)*(w + 1)
Factor 275*z + 41 - 4*z**2 - 647*z + 297*z + 129 - z**2.
-5*(z - 2)*(z + 17)
Let o(j) = 2*j**2 + 2*j - 1. Let q(g) = -10*g**2 - 86*g - 150. Let w(s) = 12*o(s) + 2*q(s). Factor w(v).
4*(v - 39)*(v + 2)
Let d(p) = -2*p - 6. Let c be d(-5). Let n(l) be the second derivative of -4/15*l**3 - 2/25*l**5 + 1/5*l**2 - 5*l + 0 + 1/75*l**6 + 1/5*l**c. Factor n(j).
2*(j - 1)**4/5
Let l(j) be the second derivative of -j**5/100 - 3*j**4/20 - 4*j**3/5 - 8*j**2/5 + j + 8. Solve l(f) = 0 for f.
-4, -1
What is y in 0 - 3/2*y**2 + 9/4*y + 1/4*y**3 = 0?
0, 3
Let o(v) be the second derivative of -v**6/50 + 3*v**5/20 - 7*v**4/20 + 3*v**3/10 + 222*v. Factor o(p).
-3*p*(p - 3)*(p - 1)**2/5
Let o(v) be the first derivative of 5/4*v**4 + 0*v**2 - 4/5*v**5 + 0*v - 7 - 2/3*v**3 + 1/6*v**6. Let o(s) = 0. What is s?
0, 1, 2
Let p(g) = 6*g + 112. Let h be p(-18). Let y(q) be the third derivative of 0*q**h + 0 - 3/20*q**5 - 1/40*q**6 + 0*q - 7*q**2 + 2*q**3. Solve y(v) = 0.
-2, 1
Let o = 362 - 362. Let m be -2*((-12)/(-15))/(-4). Find x, given that o*x**2 + 0*x + 2/5*x**3 - m*x**4 + 0 = 0.
0, 1
Factor 120*a + 143 + 129 + 64 - 3*a**2 - 14*a**2 + 14*a**2 - 3*a**3.
-3*(a - 7)*(a + 4)**2
Suppose 5*a + 2*p = -10, -2*a - 11*p - 26 = -8*p. Let 10/3*i**a + 1000/9 - 100/3*i - 1/9*i**3 = 0. Calculate i.
10
Let g = -435 + 435. Factor -2/13*z + g - 