 l**4/120 + 2*l**3/15 - 9*l**2/2 + 21. Let q(z) be the second derivative of x(z). Factor q(p).
(p - 4)*(p - 1)*(p + 1)/5
Suppose -4*x + 2*s + 6 = -4, -s - 1 = -x. Suppose b + x*b - 15 = 0. Find d, given that 0 - d**4 + 5/2*d**2 - 1/2*d**b - d = 0.
-2, 0, 1/2, 1
Let p(m) be the third derivative of 1/210*m**5 + 0*m + 0*m**3 - 1/84*m**4 - 9*m**2 + 0. Factor p(s).
2*s*(s - 1)/7
Suppose 0*t + 5*t - 35 = 0. Suppose -2*z - 3*o + t = 2*z, -5 = z + 3*o. Determine c so that -14*c**3 + 3*c - 7*c + 4 - z*c**2 - 2*c - 20*c**2 = 0.
-1, 2/7
Let r(y) be the first derivative of 5*y**4 - 295*y**3/3 + 205*y**2/2 + 70*y + 51. Let r(a) = 0. What is a?
-1/4, 1, 14
Let u = -123 + 233. Find i such that 3*i**5 + 6*i + 3*i**2 - 54*i**4 - 9*i**3 + u*i**4 - 59*i**4 = 0.
-1, 0, 1, 2
Suppose 0 = n - 5*y + 57, n + 0*n + 22 = -2*y. Let x be ((-12)/8)/(56/n). Determine z, given that 0*z**2 - 3/7 + 3/7*z**4 - x*z + 6/7*z**3 = 0.
-1, 1
Let r = 57 - 55. Factor -6*p + r*p + 8*p - 5*p**2 + p.
-5*p*(p - 1)
Let q(a) be the first derivative of a**4/54 - 2*a**3/27 + 12*a - 7. Let n(u) be the first derivative of q(u). Factor n(b).
2*b*(b - 2)/9
Let j = -98024 - -25388137/259. Let s = -6/37 - j. Factor 2/7 + 3/7*r + s*r**2.
(r + 1)*(r + 2)/7
Let g(n) be the third derivative of -n**7/1050 + n**5/50 + n**4/15 + n**3/10 + 58*n**2. Factor g(x).
-(x - 3)*(x + 1)**3/5
Determine b so that 24/7 + 40/7*b**3 - 6/7*b**4 - 18/7*b**2 - 40/7*b = 0.
-1, 2/3, 1, 6
Suppose 0*f = -2*f + 4. Let b be (4/(-11))/f*-1. Factor -2/11*q**2 - 2/11*q**3 + b + 2/11*q.
-2*(q - 1)*(q + 1)**2/11
Let g(r) = 200*r - 2197. Let k be g(11). Let -2/17*l**k + 2/17 - 2/17*l**2 + 2/17*l = 0. Calculate l.
-1, 1
Let 0*p + 0 + 12/5*p**2 + 9/5*p**3 - 3/5*p**4 = 0. What is p?
-1, 0, 4
Let b(n) be the third derivative of -1/195*n**5 - 8/1365*n**7 + 0*n**3 - 7/780*n**6 - 1/728*n**8 + 4*n**2 + 0*n**4 + 0*n + 0. Determine l, given that b(l) = 0.
-1, -2/3, 0
Let t = -29 - -21. Let p be 1/2*t/(-2). Factor -f**4 + f**2 - 4*f**3 + 0*f**3 + 6*f**3 - p*f**2.
-f**2*(f - 1)**2
Let p be ((-6)/(-18))/(2/(-6))*(-23)/115. Solve 4/5*j + 4/5 + p*j**2 = 0 for j.
-2
Suppose -2*t - 10 = -7*t. Find g, given that -21*g + 12*g**t + 17 - 42*g + 23 - 5*g = 0.
2/3, 5
Factor 2/11 - 70/11*n**3 - 138/11*n**2 - 6*n.
-2*(n + 1)**2*(35*n - 1)/11
Suppose -f = -7*f - 2*d + 28, -f + 5*d + 10 = 0. Let w(o) be the first derivative of 0*o + 0*o**2 + 1/5*o**3 - 3/20*o**4 + f. Let w(g) = 0. Calculate g.
0, 1
Factor 2/7*q**5 + 0*q**4 + 0*q**2 - 8/7*q**3 + 0 + 0*q.
2*q**3*(q - 2)*(q + 2)/7
Solve -420*h**2 - 227 - 5*h**3 - 25 - 75 + 855*h + 37 - 140 = 0 for h.
-86, 1
Let b(s) = s**2 + 9*s + 18. Let p be b(-6). Let f(a) be the second derivative of -3/16*a**4 - 3/40*a**5 + 0 + p*a**3 + 3/8*a**2 + 5*a. Solve f(j) = 0.
-1, 1/2
Let x(s) = s**2 - 4*s - 1. Let a(u) = 84*u**3 + 62*u**2 - 11*u - 5. Let b(q) = a(q) - 5*x(q). Factor b(n).
3*n*(4*n + 1)*(7*n + 3)
Let b(v) be the first derivative of -15/8*v**2 - 38 - 3*v - 1/4*v**3. Factor b(m).
-3*(m + 1)*(m + 4)/4
Let p(j) be the third derivative of 0*j + 0*j**3 - 1/45*j**5 - j**2 + 1/72*j**4 + 1/60*j**6 + 1/1008*j**8 - 2/315*j**7 + 0. Determine o so that p(o) = 0.
0, 1
Suppose 2*s - 4 + 10 = 0. Let p be 1 + s - 130/(-45). Solve 16/9 - 4/9*q**2 + p*q - 2/9*q**3 = 0 for q.
-2, 2
Factor 0 + 1/3*x**5 - x**3 + 0*x + 0*x**2 - 2/3*x**4.
x**3*(x - 3)*(x + 1)/3
Let p(k) be the third derivative of -k**6/120 + 7*k**5/60 + k**4/3 - 205*k**2. Solve p(t) = 0 for t.
-1, 0, 8
Solve -2*l**4 + 12*l**3 - 36*l**2 - 11*l**4 + 15*l**4 - 72 + 18*l**3 + 106*l**2 - 30*l = 0.
-12, -3, -1, 1
Let x = -273 - -101. Let t = x - -176. Suppose -3/4*r**t + 0*r - 5/4*r**3 + 0 + 1/2*r**2 = 0. What is r?
-2, 0, 1/3
Let -1/4*a**2 + 51/4*a + 13 = 0. What is a?
-1, 52
Let p = -25 + 28. Factor 3*x**4 + 2*x + 3*x**3 + 4*x**4 + 2*x**5 - 5*x**4 - 4*x**2 - 7*x**p + 2.
2*(x - 1)**2*(x + 1)**3
Let y(z) be the third derivative of z**7/42 - 3*z**6/8 + 25*z**5/12 - 45*z**4/8 + 25*z**3/3 + 104*z**2. Let y(k) = 0. What is k?
1, 2, 5
Factor -361/6 - 1/6*x**2 - 19/3*x.
-(x + 19)**2/6
Let c(u) be the third derivative of 1/20*u**5 + 1/6*u**4 + 0*u + 1/180*u**6 - 4*u**2 + 0 + 7/6*u**3. Let p(s) be the first derivative of c(s). Factor p(j).
2*(j + 1)*(j + 2)
Let b be 11/22*(2 - 0) + -69. Let z = -66 - b. Factor -1/6 + 1/3*d**z - 1/6*d**4 + 0*d**3 + 0*d.
-(d - 1)**2*(d + 1)**2/6
Let p = -66 + 60. Let b be (-1)/((-1 + 4)/p). Factor -4/3 - 2/3*i**b + 2*i.
-2*(i - 2)*(i - 1)/3
Determine m, given that 0*m**2 + 0 + 4/5*m**3 + 0*m - 2/5*m**4 - 6/5*m**5 = 0.
-1, 0, 2/3
Let n(w) be the first derivative of -w**4/14 + 4*w**3/21 - w**2/7 - 5. Factor n(h).
-2*h*(h - 1)**2/7
Solve -1/4*l**3 + 0*l**2 - l**4 + 0*l - 3/4*l**5 + 0 = 0.
-1, -1/3, 0
Suppose 0 = f - s - 0*s - 7, 4*f - 16 = s. Let r = -38 + 41. Find x such that x - x**4 + 0*x**4 + r*x**2 - f*x + 0*x = 0.
-2, 0, 1
Let w(i) be the second derivative of -1/50*i**5 + 0 + 0*i**2 - 2/15*i**3 + 1/10*i**4 + 12*i. Factor w(m).
-2*m*(m - 2)*(m - 1)/5
Let s(x) = 4*x**4 - 39*x**3 + 3*x**2 - 3*x. Let w(a) = -20*a**4 + 196*a**3 - 16*a**2 + 16*a. Let p(d) = -16*s(d) - 3*w(d). Factor p(i).
-4*i**3*(i - 9)
Let a(z) = -3*z**2 + 6*z - 8. Let o(h) = 12*h**2 - 24*h + 33. Let l be -1 - 2/(-2 - -4). Let f be -42*(-4 - 9/l). Let m(x) = f*a(x) - 5*o(x). Factor m(j).
3*(j - 1)**2
Let s(i) be the second derivative of -9/4*i**5 - 5/3*i**4 - i**6 + 0 - 5/42*i**7 + 0*i**3 - 20*i + 0*i**2. Determine z, given that s(z) = 0.
-4, -1, 0
Let q(k) be the first derivative of 3*k**5/25 - 9*k**4/10 - 330. Factor q(j).
3*j**3*(j - 6)/5
Find k, given that -54450*k - 70/3*k**4 - 12540*k**2 - 2/9*k**5 - 860*k**3 - 71874 = 0.
-33, -3
Let y(n) be the second derivative of 12*n + 1/8*n**3 + 1/80*n**5 - 3/2*n**2 + 0 + 1/16*n**4. Let r(w) be the first derivative of y(w). Let r(s) = 0. What is s?
-1
Let q(y) be the first derivative of -1/1080*y**6 + 0*y - 1/180*y**5 - 1/72*y**4 + 0*y**2 + 7 - 4/3*y**3. Let u(v) be the third derivative of q(v). Factor u(r).
-(r + 1)**2/3
Let n = 47095/2 - 23546. Solve -n*z**5 + 0 + 3/2*z**4 + 9/2*z**3 + 3*z - 15/2*z**2 = 0.
-2, 0, 1
Let f be (-1 - 14/(-10)) + 1591/185. Let j be (32/(-36))/(-2) - 2/f. Find m, given that 2/9*m + 0 - j*m**2 - 2/9*m**3 + 2/9*m**4 = 0.
-1, 0, 1
Suppose 0 = 5*o + 17*o - 132. Let b(s) be the first derivative of 6 - 160/3*s**3 + 1/3*s**o - 64*s + 80*s**2 + 20*s**4 - 4*s**5. Suppose b(v) = 0. Calculate v.
2
Factor 1/3*g**3 + 2/3*g**2 - 2 - 5/3*g.
(g - 2)*(g + 1)*(g + 3)/3
Let r(d) = -d**2 - 6*d - 7. Let k be r(-4). Let q be (42/(-10) + k)/((-11)/11). Factor -8/5 - q*u - 2*u**2 - 2/5*u**3.
-2*(u + 1)*(u + 2)**2/5
Suppose 0 = 21*x - 75 + 12. Let p(r) be the second derivative of 2*r**x + 0*r**2 - 10*r + 3/5*r**5 + 10/3*r**4 + 0. Factor p(f).
4*f*(f + 3)*(3*f + 1)
Let y(l) be the third derivative of l**6/180 - 2*l**5/45 - 11*l**4/36 + 10*l**3/3 + 10*l**2 + l. Solve y(w) = 0.
-3, 2, 5
Suppose -7*o + 9 + 33 = 0. Let t(n) be the third derivative of n**2 + 15/4*n**4 + 0*n + 20/3*n**3 + 7/24*n**o - 11/4*n**5 + 0. Determine s, given that t(s) = 0.
-2/7, 1, 4
Factor p**4 - 8 - 11*p - 523*p**2 + 512*p**2 + 11*p + 18*p.
(p - 2)*(p - 1)**2*(p + 4)
Let w = 6536 + -6534. Suppose 12/7*g**w + 8/7*g + 0*g**3 + 0 - 4/7*g**4 = 0. Calculate g.
-1, 0, 2
Let p be (-1 + -9)*(-24)/16. Suppose 6*z = z + p. Factor 2*w**z + 2*w**2 + 4*w**3 - 4*w**4 + w**3.
-w**2*(w - 2)*(4*w + 1)
Let c be 2/(-4)*(-4)/(-48)*0. Let -3*p**2 + 3*p**4 + c - 3/5*p**3 + 9/5*p**5 - 6/5*p = 0. What is p?
-1, -2/3, 0, 1
Let l(u) = -6*u**2 + 39*u - 105. Let g(b) = 2*b + 21. Let w be g(-9). Let n(s) = -7*s**2 + 40*s - 104. Let o(x) = w*n(x) - 4*l(x). Find i, given that o(i) = 0.
6
Let q(v) be the second derivative of -7*v**6/30 - 71*v**5/80 - 2*v**4/3 - v**3/6 + 93*v. What is j in q(j) = 0?
-2, -2/7, -1/4, 0
Let u be 0 + -18*2/(-3). Suppose -q - q = 5*j - 21, 2*j - u = -2*q. Factor d + 11*d**5 + 0*d - 2*d**j - 10*d**5.
d*(d - 1)**2*(d + 1)**2
Let t be 3/(1/(2 + -1)). Let z = 25/339 + 967/678. Find x, given that 0 - 3/4*x + z*x**2 - 3/4*x**t = 0.
0, 1
Let u(n) be the third derivative of n**5/15 - n**4/2 - n**2 - 19. Determine z, given that u(z) = 0.
0, 3
Let x(j) be the second derivative of j**6/6 - j**5 + 5*j**4/4 + j + 44. Factor x(d).
5*d**2*(d - 3)*(d - 1)
Let o be (-1)/8*-2 + (3887/276 - 