
-3/5, 1
Let g(d) be the first derivative of 5*d**5/3 + 5*d**4 + 6*d**3 + 3*d**2/2 - 18. Let k(c) be the second derivative of g(c). Factor k(u).
4*(5*u + 3)**2
Suppose 0*v - 2*v = n - 9, n = -v + 5. Suppose -j - j = -v*j. Factor j*d**2 + 2/5*d**3 + 0 - 2/5*d.
2*d*(d - 1)*(d + 1)/5
Let l(j) be the second derivative of j**5/90 + 2*j**4/27 + j**3/27 - 2*j**2/3 - 5*j - 15. Factor l(a).
2*(a - 1)*(a + 2)*(a + 3)/9
Let d = 53 + -370/7. Let g be ((-20)/84)/((-1)/(-6)*-10). Factor 0 - d*b**5 + 1/7*b**3 - g*b**4 + 1/7*b**2 + 0*b.
-b**2*(b - 1)*(b + 1)**2/7
Let c(o) be the third derivative of o**8/112 - 7*o**6/10 - 27*o**5/10 + 27*o**4/8 + 27*o**3 + 4*o**2. Determine k so that c(k) = 0.
-3, -1, 1, 6
Let m be (6/(-12))/((-429)/1188). Factor -10/13*r**2 + 6/13*r + 2/13*r**3 + m.
2*(r - 3)**2*(r + 1)/13
Let j be 17/10 + -1 + 9/(-225)*5. Find b, given that 3/2 - j*b**2 - b = 0.
-3, 1
Let y(o) be the first derivative of o**3/3 + 55*o**2/2 - 56*o + 333. Factor y(l).
(l - 1)*(l + 56)
Suppose -4*z - 2*z = 11*z + 24*z. Determine s so that -32/5*s + 28/5*s**4 + 144/5*s**2 - 24*s**3 + z = 0.
0, 2/7, 2
Let w(r) = -44*r**2 + 131*r + 5. Let a be w(3). Factor 0 + 32/11*q + 2/11*q**3 - 16/11*q**a.
2*q*(q - 4)**2/11
Let x = -84 + 109. Factor -7 - 5*v**2 - 10 + x*v + 0 - 13.
-5*(v - 3)*(v - 2)
Let c = -29 + 32. Suppose -13 = -4*t - m, -c*m + m = -2. Suppose 2 + 0 - 11*d**3 + t*d**4 - 9*d + d**2 + 14*d**2 = 0. What is d?
2/3, 1
Find i, given that -3/8*i**4 - 13/8*i**3 + 1/8*i**2 + 9/8*i + 1/4 + 1/2*i**5 = 0.
-1, -1/4, 1, 2
Let r(d) be the third derivative of 1 - 4/15*d**5 + 4/105*d**7 + 0*d - 1/84*d**8 + 4/3*d**3 + 1/15*d**6 - 6*d**2 - 1/6*d**4. Solve r(i) = 0.
-1, 1, 2
Let o(a) be the second derivative of -a**5/110 - 3*a**4/22 + 7*a**3/11 - a**2 + 21*a - 3. Factor o(z).
-2*(z - 1)**2*(z + 11)/11
Let m = -5/4 - -10. Let g = -33/4 + m. Factor 1/4*q**4 + 1/4*q**2 + 0*q - g*q**3 + 0.
q**2*(q - 1)**2/4
Let y(p) be the second derivative of p**6/18 - 7*p**5/12 + 25*p**4/12 - 5*p**3/2 - 443*p. Let y(h) = 0. Calculate h.
0, 1, 3
Let k be (-1856)/3828 + 4/6. Solve 6/11*o**3 + 6/11*o**2 + 0 + 2/11*o + k*o**4 = 0 for o.
-1, 0
Let y(o) be the first derivative of -o**3/7 - 501*o**2/7 - 83667*o/7 + 373. Factor y(t).
-3*(t + 167)**2/7
Let c be (-2 + (8 - 5))/((-2)/24). Let p be (c/20)/((-36)/40). Factor -p*z**2 + 4/3*z - 2/3.
-2*(z - 1)**2/3
Suppose 2*c - 44 = -0*c. Let u be (-18)/4*c/(-33). Factor b**4 + 0*b**u + 0*b**2 + b**2 - 2*b**3.
b**2*(b - 1)**2
Determine w, given that -4/5*w**3 + 68/5*w**2 - 64*w + 256/5 = 0.
1, 8
Let c be (-87)/4 + (1 + 4)/5. Let a = c - -21. What is z in a*z**3 + 0*z**2 + 0*z + 0 = 0?
0
Let q be (-8)/(-6) - 10/(-6). Factor -15*f**q - f**4 - 13*f**2 + 4*f**2 + 15*f - 3*f**4 + 12 + f**4.
-3*(f - 1)*(f + 1)**2*(f + 4)
Let c = -563 - -565. Let h(i) be the first derivative of 2/3*i**c - 2/9*i**3 + 7 - 2/3*i. Factor h(a).
-2*(a - 1)**2/3
Let c be 2 - -2 - (0 - (-7 + 5)). Factor 50*h - 177 + 364 - 15*h**c - 202.
-5*(h - 3)*(3*h - 1)
Let g(p) = -9*p**3 - 2*p**2 - 3*p + 5. Suppose -3*f - 10 = 5*z - 0*z, 0 = 5*z + 25. Let a(t) = t**2 - t + 1. Let y(x) = f*a(x) - g(x). Let y(o) = 0. What is o?
-1, 0, 2/9
Let y = 673/44 + 5/11. Let n = 229/12 - y. Let 4/3 + 14/3*j + n*j**2 = 0. Calculate j.
-1, -2/5
Let j(q) be the second derivative of -q**5/30 + q**4/12 - 11*q**2/2 + 6*q. Let l(w) be the first derivative of j(w). Factor l(s).
-2*s*(s - 1)
Let q be 148/252 + 6/(-42). Solve 8/9*v + 16/9*v**2 + 2/3*v**5 - q*v**4 - 26/9*v**3 + 0 = 0.
-2, -1/3, 0, 1, 2
Suppose -921 = -12*m - 153. Let l(v) be the first derivative of 4/3*v**3 + 16*v**2 - 9 + m*v. What is f in l(f) = 0?
-4
Let x(t) be the third derivative of t**7/315 + t**6/45 - t**5/90 - t**4/9 + 125*t**2 + 1. Suppose x(w) = 0. What is w?
-4, -1, 0, 1
Let g(c) be the third derivative of c**8/84 - 2*c**7/105 - c**6/15 + 2*c**5/15 + c**4/6 - 2*c**3/3 + 88*c**2. Let g(s) = 0. Calculate s.
-1, 1
Determine p, given that -7/4*p - 9/2 + 1/4*p**2 = 0.
-2, 9
Let l(n) be the second derivative of n**5/20 + 13*n**4/6 + 25*n**3/6 - 201*n. Find s, given that l(s) = 0.
-25, -1, 0
Let 8*a**2 - 2/5*a**3 + 36/5 - 74/5*a = 0. Calculate a.
1, 18
Let d(p) be the first derivative of 2*p**3/9 + p**2 + 4*p/3 + 153. What is n in d(n) = 0?
-2, -1
Let o(c) = -8*c - 5. Let y be o(-3). Suppose 0*r - 5*w + y = 2*r, -2*w + 12 = 3*r. Suppose 3*j**r + 0 - 1 - 2 = 0. Calculate j.
-1, 1
Let g be ((-8)/30)/(-14 + (-277)/(-20)). Let r(x) be the first derivative of -20/27*x**3 + 1/6*x**4 + 4/9*x**2 - 5 + g*x. Factor r(q).
2*(q - 2)**2*(3*q + 2)/9
Suppose 4 = 7*z - 10. Solve 16*u - 7*u**2 + 4*u**z + 7*u**2 + 12 = 0.
-3, -1
Let 28*m**4 - 27*m**5 + 113*m**4 + 321*m**3 + 170*m**2 - 59*m**2 - 42*m = 0. What is m?
-1, 0, 2/9, 7
Let d(n) = 2*n**2 + 17*n - 1. Let k be d(-13). Let v = -578/5 + k. What is y in 2/5*y**3 - v*y**5 + 0 - 2/5*y**2 + 0*y + 2/5*y**4 = 0?
-1, 0, 1
Let k be (-115)/69 - (-28)/6. Let i(m) be the second derivative of 0 + 6*m - 1/12*m**4 - 1/100*m**5 - 4/15*m**k - 2/5*m**2. Factor i(l).
-(l + 1)*(l + 2)**2/5
Let a(n) be the third derivative of n**8/420 - 6*n**7/175 + 3*n**6/50 + 17*n**5/15 - 5*n**4 + n**2 + 51. Let a(u) = 0. What is u?
-3, 0, 2, 5
Let p(j) be the first derivative of 0*j + 5/4*j**4 + 1/6*j**6 - 3 + 4/5*j**5 + 2/3*j**3 + 0*j**2. Find r such that p(r) = 0.
-2, -1, 0
Suppose 3*t - 4 = -0*v + v, -2*t - 16 = 4*v. Find h such that -127*h + 25 + t*h**2 + 5*h**2 + 97*h = 0.
1, 5
Let d be (10 - (8 - 11)) + -11. Factor 0*m**3 + 2/9*m**5 - 2/9*m + 0 + 4/9*m**4 - 4/9*m**d.
2*m*(m - 1)*(m + 1)**3/9
Let m(y) be the second derivative of 1/150*y**6 - 1/100*y**5 + 0 + 0*y**2 - 1/60*y**4 + 1/210*y**7 + 3*y + 0*y**3. Find p, given that m(p) = 0.
-1, 0, 1
Let f(q) be the first derivative of 5*q**3/3 + 8*q**2 - 423. What is b in f(b) = 0?
-16/5, 0
Let u(f) = 7*f**2 + 4*f. Let i(l) = 13*l**2 + 5*l. Let p(b) = -6*i(b) + 11*u(b). Factor p(y).
-y*(y - 14)
Factor -19 - 21 + 348*a - 47759*a**4 + 0 + 47840*a**4 - 279*a**3 - 698*a**2.
(a - 5)*(a + 2)*(9*a - 2)**2
Let t(p) be the third derivative of 0*p + 0 - 1/360*p**6 + 1/72*p**4 + 1/18*p**3 - 1/180*p**5 - 11*p**2. Factor t(y).
-(y - 1)*(y + 1)**2/3
Let x = -1723 + 1727. Let h(m) be the second derivative of -5/6*m**x + 5/6*m**3 + 9*m + 1/6*m**6 + 0 - 1/2*m**5 + 5/42*m**7 + 5/2*m**2. Factor h(i).
5*(i - 1)**2*(i + 1)**3
Solve -49152 - 209*b**3 + 47616*b - b**4 - 10764*b**2 - 268*b**3 + 105*b**3 - 2*b**4 = 0 for b.
-64, 2
Let x = 44 - 41. Factor -o**3 - o**x + 14*o**2 + 0*o**3 - 32 - 16*o.
-2*(o - 4)**2*(o + 1)
Suppose -z - 4*w = -2*z + 21, -2*z - w = 3. Let v be 3*(1 - (z - 0)/(-3)). Let -3*q**2 + 0*q + 1/2 + v*q**3 - 3/2*q**4 = 0. Calculate q.
-1/3, 1
Let w(k) be the third derivative of 1/120*k**5 - 1/480*k**6 + k**2 + 0*k + 0*k**3 - 1/96*k**4 + 0. Factor w(t).
-t*(t - 1)**2/4
Let i(b) be the second derivative of b**4/66 + 5*b**3/11 + 47*b. Let i(n) = 0. What is n?
-15, 0
Let g(z) be the third derivative of 0*z + 0*z**5 + 3/70*z**7 - 1/112*z**8 - 8*z**2 + 0 - 1/20*z**6 + 0*z**3 + 0*z**4. Find d, given that g(d) = 0.
0, 1, 2
Let p be (-8)/8*(-32)/(-1). Let m be ((-45)/20)/(6/p). Factor -2 + 3*c**2 + m + 12*c + 2.
3*(c + 2)**2
Let c(u) be the second derivative of -u**5/90 - 7*u**4/54 - 10*u**3/27 - u + 3. Factor c(b).
-2*b*(b + 2)*(b + 5)/9
Let r(h) = -h**2 - 9*h + 6. Let z be r(-8). Determine m so that m**2 + z + 16*m + 0 + m**2 = 0.
-7, -1
Let f(m) be the first derivative of m**4/28 + 76*m**3/21 + 1517*m**2/14 + 2738*m/7 - 423. Factor f(j).
(j + 2)*(j + 37)**2/7
Let w be 6/30*-2 + 26/65. Factor 2/9*k**3 - 2/9*k + w + 2/9*k**4 - 2/9*k**2.
2*k*(k - 1)*(k + 1)**2/9
Let z be 2/5 + (-2)/5. Let g be (12/7 + z)*7. Factor g*f**2 - 18*f**3 + 3 - 2 + 8*f**4 - 2*f - 1.
2*f*(f - 1)**2*(4*f - 1)
Let d be (-6)/(-5) + 702/8190. Find u, given that -1/7*u**5 - d*u**3 - 2/7*u + 0 - 5/7*u**4 - u**2 = 0.
-2, -1, 0
Suppose h = -m - 98 + 105, -4*h + 10 = -2*m. Let c(t) be the second derivative of -6*t - 1/4*t**2 - 1/8*t**3 + 0 - 1/48*t**h. Factor c(q).
-(q + 1)*(q + 2)/4
Factor -1800 + 2/9*y**3 + 1760*y + 358/9*y**2.
2*(y - 1)*(y + 90)**2/9
Suppose 610*y - 585*y = 75. Factor 5/2*j**y - 15/2*j - 5 + 0*j**2.
5*(j - 2)*(j + 1)**2/2
Let c(m) be the third derivative of m**7/420 - m**6/30 + 3*m**5/20 - m**4/3 + 5*m**3/12 - 217*m**2. Fact