**2 - 535*v. Determine u, given that q(u) = 0.
-16, -3, 1
Factor -2*w**5 - w**5 - 2*w**4 + 2*w**2 + 213*w**3 + 6*w**5 - 216*w**3.
w**2*(w - 1)*(w + 1)*(3*w - 2)
Let s(v) be the second derivative of v**5/30 + v**4/12 - 3*v**2/2 - 2*v. Let j(r) be the first derivative of s(r). Factor j(w).
2*w*(w + 1)
Let m(z) be the third derivative of 0 - 1/945*z**7 + 12*z**2 + 0*z**6 + 1/270*z**5 + 0*z**3 + 0*z**4 + 0*z. Factor m(f).
-2*f**2*(f - 1)*(f + 1)/9
Let i(v) be the third derivative of v**8/672 - 3*v**7/140 + 9*v**6/80 - 23*v**5/120 - v**4/2 + 3*v**3 + 185*v**2. Solve i(m) = 0 for m.
-1, 2, 3
Let s(p) = p**3 + 5*p**2 - 10*p - 50. Let t be s(-5). Factor t - q**3 + 1/3*q**4 - 1/3*q + q**2.
q*(q - 1)**3/3
Let u = 2897 - 20277/7. Factor 6/7 - u*k**2 + 4/7*k.
-2*(k - 3)*(k + 1)/7
Let q(k) be the second derivative of 1/285*k**6 - 1/19*k**3 + 0*k**2 + 0 + 7/114*k**4 - 1/38*k**5 - 3*k. Factor q(p).
2*p*(p - 3)*(p - 1)**2/19
Let v(j) = 3*j**5 + 25*j**3 - 20*j**2. Let c(x) = 5*x**5 - x**4 + 51*x**3 - 41*x**2. Let w(n) = -4*c(n) + 7*v(n). Factor w(f).
f**2*(f - 3)*(f - 1)*(f + 8)
Suppose 5*w - 16 = -4*p, -2*w - 2*p + 6 = -0*w. Factor -g + 2*g**4 + w*g**2 + 2*g**4 + 8*g**2 - 12*g**3 - 3*g.
4*g*(g - 1)**3
Let c(b) be the second derivative of -b**7/14 - b**6/2 - 9*b**5/20 + 9*b**4/4 - 159*b. Factor c(t).
-3*t**2*(t - 1)*(t + 3)**2
Let j = 8 - -8. Factor 9*i**2 - 24*i + j + 3*i**2 + 0*i**2 - 2*i**3.
-2*(i - 2)**3
Suppose -169*p = -172*p + 12. Factor -2*z - 1/2*z**p - z**2 + 2*z**3 + 3/2.
-(z - 3)*(z - 1)**2*(z + 1)/2
Let c = 6275/3756 - 5/1252. Determine x so that 1/3*x**5 + c*x**4 + 0 + 8/3*x**3 + 0*x + 4/3*x**2 = 0.
-2, -1, 0
Let w(y) be the first derivative of -2*y**6/9 + 12*y**5/5 - 23*y**4/3 - 4*y**3 + 72*y**2 - 144*y - 33. Determine d, given that w(d) = 0.
-2, 2, 3
Solve -2/11*v**4 - 8/11*v**3 - 12/11*v + 0 + 2*v**2 = 0.
-6, 0, 1
Let p(d) be the third derivative of 3*d**8/35 - 52*d**7/525 - 47*d**6/600 + d**5/60 + d**4/60 - 8*d**2 + 4. Solve p(i) = 0 for i.
-1/4, 0, 2/9, 1
Let g(b) be the second derivative of 0 + 2/15*b**4 - 13*b + 1/20*b**5 + 1/30*b**3 - 1/5*b**2. Find n such that g(n) = 0.
-1, 2/5
Let m(g) = -2*g**2 + 11*g - 2. Let r be m(5). Determine n, given that -n**5 - 10*n**4 - 8 + 14*n**r + 3*n**5 - 8*n + 18*n**2 - 5*n**5 - 3*n**5 = 0.
-2, -1, -2/3, 1
Let z(t) = -t**3 + 16*t**2 - 59*t - 10. Let l be z(10). Let s(k) be the first derivative of -3/2*k**2 + 7 + l*k + 2*k**3. Determine w, given that s(w) = 0.
0, 1/2
Let 16/9 + 28/3*x + 28/3*x**2 + 16/9*x**3 = 0. Calculate x.
-4, -1, -1/4
Suppose 2415 - 2415 = -11*s. Let h(i) be the second derivative of s + 8*i + 1/3*i**4 - 2*i**2 + 5/2*i**3. Determine m so that h(m) = 0.
-4, 1/4
Let r(j) be the first derivative of 4 + 0*j**2 + 2/27*j**3 + 1/9*j**4 + 2/45*j**5 + 0*j. Determine x, given that r(x) = 0.
-1, 0
Let z(i) be the second derivative of -1/60*i**6 + 3*i**2 + 3/20*i**5 + 0 - 3/8*i**4 - 13*i - 1/3*i**3. Suppose z(c) = 0. Calculate c.
-1, 2, 3
Let i(o) be the second derivative of o**7/70 - 2*o**6/25 + 3*o**5/25 + 404*o. Factor i(h).
3*h**3*(h - 2)**2/5
Suppose d = -2 + 8. Let j = 6 - d. Let j*h + 3/2*h**3 + 0*h**2 + 0 = 0. Calculate h.
0
Suppose 0 + 0*l + 1/4*l**3 - 3/4*l**4 - 1/4*l**5 + 3/4*l**2 = 0. What is l?
-3, -1, 0, 1
Let y(n) be the third derivative of -n**6/60 + 4*n**5/15 - 7*n**4/12 - 108*n**2 + 2. Factor y(l).
-2*l*(l - 7)*(l - 1)
Let r(k) be the first derivative of 5*k**4/4 - 115*k**3/3 + 105*k**2 + 363. Factor r(b).
5*b*(b - 21)*(b - 2)
Suppose -53*v + 21*v + 64 = 0. Factor -8/7*o - 2/7*o**v - 6/7.
-2*(o + 1)*(o + 3)/7
Let b(c) be the first derivative of -5 + 0*c**2 + 3/8*c**4 + c**3 + 0*c. Solve b(h) = 0.
-2, 0
Let d(n) = 8*n**2 + 188*n - 376. Let k(s) = -15*s**2 - 374*s + 752. Let x(h) = 7*d(h) + 4*k(h). Solve x(w) = 0.
-47, 2
Let w(f) = -f + 9. Let r be w(7). Suppose -3*a = 2*l + 2*a + 1, -13 = -4*l + 5*a. Factor v**2 - v + 0*v**2 + r*v**2 - l*v**3.
-v*(v - 1)*(2*v - 1)
Factor x**2 - 5/4*x - 1/4*x**3 + 1/2.
-(x - 2)*(x - 1)**2/4
Let k be (2/5)/1 - (-39)/15. Suppose f + 2*h - 4 = 0, 0*h = 3*f + k*h - 9. Find a, given that -1/3 + 2/3*a - 1/3*a**f = 0.
1
Let q(j) be the second derivative of j**6/90 - j**5/20 + 2*j**3/9 - 2*j - 20. Factor q(n).
n*(n - 2)**2*(n + 1)/3
Find x such that 6*x - 7717*x**3 + 7719*x**3 + x**4 + 20 - 15*x**2 - 2*x = 0.
-5, -1, 2
Let x be ((-10)/8)/(19/(-380)). Let c = 33 - x. Factor 4*l**3 + 2*l**2 - 8*l**2 + 2*l**4 + c - 9*l + l + 0*l.
2*(l - 1)**2*(l + 2)**2
Suppose -3*z = 4*j - 56, -j + 5*z - 3*z = -3. Factor 12*x + j*x**2 - 5*x**2 - 3*x**2.
3*x*(x + 4)
Suppose -16*b**2 + 16*b**3 + 39*b**2 + 56*b**2 + 66*b + b**4 - 18*b**2 = 0. Calculate b.
-11, -3, -2, 0
Let r(a) be the third derivative of -a**8/336 - a**7/210 + a**6/40 + a**5/60 - a**4/12 + 2*a**2 + 4*a. Factor r(q).
-q*(q - 1)**2*(q + 1)*(q + 2)
Let m(g) = -9*g + g**3 - 11*g + 24*g - 3*g + g**2. Let f(c) = -20*c**3 - 16*c**2 - 8*c + 6. Let z(y) = -2*f(y) - 36*m(y). Solve z(v) = 0.
-1, 3
Let r(f) be the third derivative of -f**7/140 + 3*f**6/40 + 3*f**5/40 - f**4 - 3*f**3 - 13*f**2 + 5. Let r(a) = 0. What is a?
-1, 2, 6
Let h = 5 - 3. Let q = -505 + 505. Let -1/2*z + 1/4*z**h + q = 0. Calculate z.
0, 2
Let s(t) be the second derivative of t**8/7560 + t**7/1260 + 7*t**3/2 - 6*t. Let g(z) be the second derivative of s(z). Solve g(f) = 0 for f.
-3, 0
Let -2*t**2 - 245*t - 2*t**2 - 3*t**2 + 5*t**2 - 3*t**2 = 0. What is t?
-49, 0
Let o(n) = 23 - n**2 - 3*n + 6 - 3*n. Let x be o(-9). Factor -4*r - 2 - 1/2*r**3 - 5/2*r**x.
-(r + 1)*(r + 2)**2/2
Let s(t) = 9*t**4 + 11*t**3 - 7*t**2 - 45*t + 32. Let m(w) = -8*w**4 - 12*w**3 + 8*w**2 + 44*w - 32. Let g(d) = 5*m(d) + 4*s(d). Factor g(y).
-4*(y - 1)**2*(y + 2)*(y + 4)
Suppose -s - 87 = 3*y + 68, 0 = 5*s + 5*y + 755. Let b = s + 451/3. Let 2/3*t - 4/3*t**2 - 2/3*t**3 + b = 0. Calculate t.
-2, -1, 1
Let q(z) be the first derivative of 1/10*z**4 + 1/5*z**2 + 34 + 0*z + 4/15*z**3. Factor q(g).
2*g*(g + 1)**2/5
Let f = 3/20524 - -7963285/184716. Let p = 130/3 - f. Factor p*q**2 + 2/3 - 8/9*q.
2*(q - 3)*(q - 1)/9
Let c be 246/4 + 27/18. Let 4*d - c*d**3 - 76*d**2 + d + 6 - 4*d - 8*d = 0. What is d?
-1, -3/7, 2/9
Let r = 3378/4235 + 2/847. Factor r*c**2 - 3/5 + 11/5*c.
(c + 3)*(4*c - 1)/5
Factor -3/5*s**2 - 18/5*s + 81/5.
-3*(s - 3)*(s + 9)/5
Let m be (-10)/(-6) + (-7)/(-21). Let y be ((-4)/22 - 1140/(-220)) + -5. Factor -2/7*v**m + 0*v - 2/7*v**3 + y.
-2*v**2*(v + 1)/7
Let z(u) be the first derivative of -u**6/21 - 2*u**5/35 + 3*u**4/14 + 10*u**3/21 + 2*u**2/7 - 36. Factor z(m).
-2*m*(m - 2)*(m + 1)**3/7
Let n = 2132 - 2128. Factor -3/2*j**2 + 0*j**3 + 1/2*j**n + 0 + j.
j*(j - 1)**2*(j + 2)/2
Factor 3/4*m**3 - 3*m + 6 - 3/2*m**2.
3*(m - 2)**2*(m + 2)/4
Let x = -37/580 + 7/87. Let i(s) be the third derivative of 1/4*s**4 - 10*s**2 + 0*s + x*s**5 + 0 + 3/2*s**3. Factor i(j).
(j + 3)**2
Determine h, given that 0*h**2 + h**5 - 10*h**4 - 5*h**3 + 3*h**4 + 4*h + 4*h**4 + 3*h**2 = 0.
-1, 0, 1, 4
Suppose -1 = -5*q + 9. Suppose 4*d - 4 = q*d. What is s in -1/2 + 1/2*s**d - 1/2*s**3 + 1/2*s = 0?
-1, 1
Let j(d) = -17*d**3 + 4*d**2 - 3*d - 6. Let t(w) = -14*w**3 + 4*w**2 - 2*w - 5. Let h(k) = 5*j(k) - 6*t(k). Suppose h(i) = 0. Calculate i.
-3, -1, 0
Let y(p) be the second derivative of 201*p**5/140 + p**4/14 + 4*p + 44. Factor y(u).
3*u**2*(67*u + 2)/7
Suppose 4*d + 3 = 7. Let k(l) = -2*l**2 - 3*l + 5. Let q be k(d). Let 9/5*u**2 + q + 6/5*u + 9/5*u**4 - 24/5*u**3 = 0. Calculate u.
-1/3, 0, 1, 2
Factor -96*o + 3*o**5 - 2027 + 21*o**4 - 1996 + 9*o**3 + 3987 - 69*o**2.
3*(o - 2)*(o + 1)**3*(o + 6)
Let q(i) be the first derivative of -i**8/560 - i**7/140 - i**6/120 + 10*i**3/3 - 1. Let x(c) be the third derivative of q(c). Let x(t) = 0. What is t?
-1, 0
Let y = -2 - -6. Let a be (-33)/(-2)*26/39. Solve 3*p + a + 9*p - 7 + y*p**3 + 12*p**2 = 0.
-1
Let s = -27705/7 + 3963. What is u in s*u + 6/7*u**2 - 9/7*u**3 - 3/7*u**4 + 24/7 = 0?
-2, -1, 2
Determine z so that -8 + 6*z**2 - 80/3*z + 14/3*z**3 = 0.
-3, -2/7, 2
Factor 3/4*d**2 + 15/4*d**3 + 3/4*d**4 - 63/4*d - 27/2.
3*(d - 2)*(d + 1)*(d + 3)**2/4
Let y(l) be the first derivative of -l**5/270 + l**4/36 - 2*l**3/27 + 19*l**2/2 + 9. Let a(p) be the second derivative of y(p). Suppose a(x) = 0. What is x?
1, 2
Suppose 18 = -8*f + 9*f. Let m = f 