
-5, -1, 0, 1
Let b(n) be the second derivative of -5/16*n**4 - 8 + 2/3*n**3 - 7*n - 1/8*n**2. Factor b(q).
-(q - 1)*(15*q - 1)/4
Let i(k) be the second derivative of k**5/70 - k**4/3 + 5*k**3/3 + 50*k**2/7 - 2381*k. Factor i(z).
2*(z - 10)*(z - 5)*(z + 1)/7
Let g = 260337/2 + -130168. Factor 0 - 13/4*n**2 + 5/2*n + g*n**3 + 1/4*n**4.
n*(n - 2)*(n - 1)*(n + 5)/4
Let b(t) be the third derivative of 1352*t**7/105 - 1742*t**6/15 + 6049*t**5/15 - 670*t**4 + 600*t**3 + 6280*t**2. Factor b(h).
4*(h - 2)**2*(26*h - 15)**2
Let y(n) be the first derivative of 5/3*n**3 + 10*n**2 + 20*n + 88. Find u, given that y(u) = 0.
-2
Let l be (1*(-4)/(-5))/(47/(-1410)). Let o = l + 27. Suppose h**2 - 5*h**3 + h**3 + 0*h**3 + 3*h**o = 0. Calculate h.
0, 1
Let s(j) = -5*j**4 - 40*j**3 - 120*j**2 + 40*j - 25. Let v(x) = x**2 - 10*x - 1. Let l(u) = s(u) + 15*v(u). Factor l(p).
-5*(p + 1)**2*(p + 2)*(p + 4)
Suppose 12*a = 7 + 17. Find x such that 13*x**5 - 255*x**3 + 18*x**2 - 3 + 78*x**4 + 174*x**a + 8*x**5 + 3 - 36*x = 0.
-6, 0, 2/7, 1
Suppose -22 = 2*i + 4*p - 0, -p - 10 = -i. Let u = 7 - 7. Find b such that b**4 - b**2 + u + 0*b**i + 1/2*b**5 - 1/2*b = 0.
-1, 0, 1
Suppose 4*a - 5*b - 5 = 6, 10 = a + 6*b. Let w(k) be the first derivative of -1/6*k**6 + 0*k + 0*k**2 - 1/3*k**3 + 1/4*k**a + 1/5*k**5 - 11. Solve w(x) = 0.
-1, 0, 1
Let f be 25 + 1*5*(-6)/10. Let x(d) be the first derivative of -4/3*d**3 + 0*d - 1/2*d**4 - d**2 - f. Factor x(c).
-2*c*(c + 1)**2
Suppose 324*d + 302*d - 3459 = -116*d - 411*d. Factor 0 + 1/4*k**4 - 17/4*k + 35/4*k**2 - 19/4*k**d.
k*(k - 17)*(k - 1)**2/4
Let h(i) = 4*i**3 + 15*i**2 + 8*i + 1. Let c(n) = 3*n**3 + 16*n**2 + 8*n + 1. Let u = 198 + -195. Let g(j) = u*h(j) - 2*c(j). Suppose g(s) = 0. What is s?
-1, -1/6
Let n(x) = -17*x**2 - 6*x + 16. Let i(h) = 3*h**2 + h - 3. Let u(r) = 11*i(r) + 2*n(r). Let y(k) = 20*k - 32. Let v(f) = -4*u(f) + y(f). Factor v(p).
4*(p - 1)*(p + 7)
Let j(x) be the third derivative of 2*x**7/105 - 133*x**6/30 + 263*x**5/15 - 131*x**4/6 - 2*x**2 - 2. Factor j(g).
4*g*(g - 131)*(g - 1)**2
Let u be (-80)/(-84) + 6/(-21). Let d be 34/(-2652)*-65 - (2 + -1)/6. Solve 1/3*x**5 - 7/3*x + u - d*x**3 + 8/3*x**2 - 2/3*x**4 = 0 for x.
-2, 1
Suppose -96*o**4 - 277*o**4 + o - 108*o**2 + 147*o**5 + 11*o + 327*o**3 - 5*o**4 = 0. Calculate o.
0, 2/7, 1
Let g be (125 - 120) + (0 + 1)*-3. Factor 10*j + g*j**2 + 968 - 8*j + 20*j + 47*j + 19*j.
2*(j + 22)**2
Let r(i) be the second derivative of -i**4/12 - 4*i**3/3 + 10*i**2 - 21*i. Let r(y) = 0. What is y?
-10, 2
Let f(s) be the second derivative of s**6/10 - 21*s**5/4 + 129*s**4/4 - 157*s**3/2 + 93*s**2 - 1148*s. Solve f(b) = 0.
1, 2, 31
Let i be 1/2 + 52/(-8). Let y be (-3*(-1)/i)/(2/(-20)). Factor -6*p**3 - p**5 + y*p**3 - p**4 - p**4.
-p**3*(p + 1)**2
Let a be (282/9*6)/1. Let d be ((-2)/(216/a) - -1)*-6. Determine o so that -10/3*o**2 - d*o + 8/9*o**4 + 10/9*o**3 - 8/9 = 0.
-2, -1, -1/4, 2
Let a = 262/151 + -2278/1661. Let w(m) be the first derivative of a*m**2 + 2/11*m**3 - 12 - 8/11*m. Solve w(s) = 0 for s.
-2, 2/3
Let p(m) be the third derivative of -8/3*m**3 - 2*m**2 - 1/3*m**5 + 0*m + 16 - 2*m**4. Suppose p(f) = 0. Calculate f.
-2, -2/5
Let r(f) = f**2 + 112*f + 432. Let y be r(-108). Let u(c) be the third derivative of 0*c**3 + 1 - 5/3*c**4 + 15*c**2 + y*c - 1/12*c**5. Solve u(g) = 0 for g.
-8, 0
Let l(r) be the third derivative of r**8/1344 + r**7/70 + 7*r**6/96 + r**5/10 + 2*r**2 + 5*r + 88. Factor l(w).
w**2*(w + 1)*(w + 3)*(w + 8)/4
Factor -8 - 341575*r**2 + 3*r**4 - 6*r**3 + 341539*r**2 - 42*r - 7.
3*(r - 5)*(r + 1)**3
Let t(x) be the second derivative of -10/9*x**3 + 0 - 69*x + 7/2*x**2 - 1/36*x**4. Factor t(y).
-(y - 1)*(y + 21)/3
Let l(d) be the first derivative of -d**4/8 - 89*d**3/6 - 1739*d**2/4 + 11045*d/2 - 8986. Find x such that l(x) = 0.
-47, 5
Let n = 1136845 - 3410527/3. Determine f so that 0 - 2/3*f**3 + n*f**2 - 2*f = 0.
0, 1, 3
Let m(q) be the first derivative of -5*q**6/6 - 31*q**5 - 1275*q**4/4 - 375*q**3 + 1314. Find d such that m(d) = 0.
-15, -1, 0
Let h(m) = -44*m**2 + 64*m - 29. Suppose 66 - 55 = -z. Let v(n) = -15*n**2 + 21*n - 10. Let k(o) = z*v(o) + 4*h(o). Factor k(r).
-(r - 2)*(11*r - 3)
Factor -11*h**3 - 89735*h**2 + 89852*h**2 + 1035 - 1149*h + 8*h**3.
-3*(h - 23)*(h - 15)*(h - 1)
Suppose -71*h = -48*h + 69. Let f be h/(-4)*(936/(-27))/(-13). Solve -2/3*o**f + 0*o + 0 + 8/3*o**3 = 0 for o.
0, 1/4
Let c(b) be the third derivative of 169*b**5/540 + 143*b**4/9 + 968*b**3/3 + 770*b**2. Find h such that c(h) = 0.
-132/13
Let c(v) be the third derivative of -v**6/24 + 11*v**5/3 + 40*v**4 - 4*v**2 + 317*v. Factor c(k).
-5*k*(k - 48)*(k + 4)
Let r be -1*6*(-3)/(-12)*-6. Let l be r/6*(-6)/(-3). Factor 5*v + l*v + 75*v**2 - 77*v**2.
-2*v*(v - 4)
Let o(s) be the second derivative of s**7/42 + 3*s**6/5 - 133*s**5/5 + 381*s**4/2 + 945*s**3/2 + 151*s + 10. Factor o(x).
x*(x - 9)**2*(x + 1)*(x + 35)
Let l(c) = -3*c**2 - 149*c - 104. Let t(r) = -3*r**2 - 149*r - 105. Let f(v) = 7*l(v) - 6*t(v). Find b, given that f(b) = 0.
-49, -2/3
Let w = 15795 - 15793. Let b(y) be the second derivative of -44/9*y**4 + 8/15*y**5 - 2*y**w - 47/9*y**3 + 0 + 22*y. Factor b(l).
2*(l - 6)*(4*l + 1)**2/3
Factor -120*d**4 + 39*d**3 - 55*d**4 - 237*d**3 + 8*d**3 - 15*d**2.
-5*d**2*(d + 1)*(35*d + 3)
Let n = 449 + -439. Suppose 15 = 3*b, 14*g + 4*b = n*g + 20. Suppose 0 - 4/5*v**2 + g*v + 2/5*v**3 = 0. Calculate v.
0, 2
Let q be ((-5760)/(-156))/(-6) - 4/(-26). Let h(u) = u**3 + 6*u**2 + 5*u + 30. Let o be h(q). Factor o + 9/5*n - 6/5*n**2 - 3/5*n**3.
-3*n*(n - 1)*(n + 3)/5
Let u be (-8)/38*56278/(-5924). Factor 1/9*y**u - 4/9 - 1/3*y.
(y - 4)*(y + 1)/9
Determine q so that -7004*q + 2*q**2 - 3*q**2 - 3588 + 5*q**2 - 6137 + 2717 = 0.
-1, 1752
Let w = -3911 - -3911. Let a(b) be the second derivative of -1/18*b**3 + 0 + 3*b + w*b**2 - 1/36*b**4. Determine l, given that a(l) = 0.
-1, 0
Factor -2/15*u**2 + 26/5*u - 56/3.
-2*(u - 35)*(u - 4)/15
Let y(u) = 6*u - 75. Let b(p) = -3*p + 37. Let z(d) = -7*b(d) - 3*y(d). Let r be z(12). Factor 3*x - 2*x - 3*x**2 + r*x.
-3*x*(x - 1)
Factor 3/5*q**2 + 1131/5 + 1134/5*q.
3*(q + 1)*(q + 377)/5
Let n(p) = -7*p - 11. Let u be n(-2). Suppose o + u*o + x - 35 = 0, -3*o = x - 26. Factor o*w + 0*w**3 - 3*w + 13*w**3 - 13*w**2 - 4*w + 10*w**4.
w*(w + 2)*(2*w - 1)*(5*w - 1)
Factor -271*b**3 - 150 + 155*b + 112*b**3 - 50*b**2 + 164*b**3.
5*(b - 5)*(b - 3)*(b - 2)
Let h(v) be the first derivative of v**4/48 + 7*v**3/12 - 7*v + 85. Let x(u) be the first derivative of h(u). Suppose x(w) = 0. What is w?
-14, 0
Let f be (-1)/16*(3 + (9 - 14)). Let w(g) be the second derivative of 27/80*g**5 - 9/8*g**3 - 1/10*g**6 + 3/4*g**2 - 9*g + f*g**4 + 0. Solve w(j) = 0.
-1, 1/4, 1, 2
Let z(t) be the third derivative of t**6/60 - 16*t**5/15 + 221*t**4/12 + 578*t**3/3 - 10*t**2 - 3*t + 20. Factor z(n).
2*(n - 17)**2*(n + 2)
Let r(j) be the second derivative of j**4/66 + 229*j**3/33 + 110*j. Suppose r(n) = 0. Calculate n.
-229, 0
Let b(t) be the second derivative of t**7/14 - 147*t**6/10 + 151*t. Factor b(s).
3*s**4*(s - 147)
Let k(v) be the second derivative of v**4/30 + 259*v**3/15 + 258*v**2/5 - 1176*v. Factor k(q).
2*(q + 1)*(q + 258)/5
Factor 28 + 2/7*b**3 + 94/7*b - 100/7*b**2.
2*(b - 49)*(b - 2)*(b + 1)/7
Let n(y) be the third derivative of -5 + 12*y**2 - 3/50*y**5 + 0*y + 16/5*y**3 + 1/200*y**6 + 0*y**4. Factor n(g).
3*(g - 4)**2*(g + 2)/5
Let o(g) be the second derivative of -g**5/130 + 133*g**4/26 - 398*g**3/39 - 64*g + 5. Factor o(c).
-2*c*(c - 398)*(c - 1)/13
Suppose v + 14 = 3*h - 338, -4*h = -v - 471. Let i = h - 116. Factor 8 - 3*t**i - 46*t + 55*t - 2.
-3*(t - 2)*(t + 1)**2
Let g be (-14)/(-49) - (-66)/14. Suppose g*r - 92 = r. Factor 23*q**5 - 48*q**5 + 2*q**3 + r*q**5.
-2*q**3*(q - 1)*(q + 1)
Let m = 41 - 11. Suppose 18 = 16*l - m. Factor 0*s**2 - 4/13 - 6/13*s + 2/13*s**l.
2*(s - 2)*(s + 1)**2/13
Factor -440*k**2 - 519*k**2 + 961*k**2 + 174*k.
2*k*(k + 87)
Factor 16/7*j + 16/7 - 12/7*j**2 + 4/7*j**4 - 8/7*j**3.
4*(j - 2)**2*(j + 1)**2/7
Let l(f) be the second derivative of f**6/120 + 7*f**5/30 + 13*f**4/24 + 64*f**2 + 153*f. Let j(u) be the first derivative of l(u). Factor j(g).
g*(g + 1)*(g + 13)
Let c(y) be the first derivative of 2*y - 141 + 89