7/240 - u**6/40 + 5*u**5/2 + 20*u**2. Let a(d) be the third derivative of i(d). Factor a(b).
-3*(b - 6)*(b - 1)
Let g(o) be the third derivative of 0 + 0*o + 1/80*o**6 + 1/280*o**7 - 1/8*o**4 - 3/80*o**5 + 28*o**2 + 1/2*o**3. Factor g(u).
3*(u - 1)**2*(u + 2)**2/4
Let h(j) be the second derivative of -j**7/21 - 2*j**6/3 - 7*j**5/10 + 3*j**4 + 37*j - 9. Find n, given that h(n) = 0.
-9, -2, 0, 1
Let p(z) = z**2 + 5*z**2 - 5*z**3 + 15*z**3 + 3*z**5 - 3*z + z**4 - 2*z - 3. Let u(f) = -f**5 - f**3 - f**2. Let n(s) = p(s) + 4*u(s). Solve n(a) = 0.
-1, 1, 3
Let v(a) be the first derivative of 72*a + 9/4*a**4 - 106*a**2 + 50*a**3 + 8. Factor v(u).
(u + 18)*(3*u - 2)**2
Let w(r) = -r**3 + 22*r**2 + 25*r - 46. Let m be w(23). Let o be ((200/15)/(-4) - -6) + m. Find t, given that -17/6*t**3 - 1/3*t**4 + o - 13/2*t**2 - 4/3*t = 0.
-4, -1, 1/2
Factor -107/5*g**2 + 3/5*g**3 + 792/5 - 1118/5*g.
(g - 44)*(g + 9)*(3*g - 2)/5
Let j = -323939 + 1619716/5. Factor 2*i - j - 1/5*i**2.
-(i - 7)*(i - 3)/5
Let u(c) be the second derivative of -c**4/42 - 235*c**3/21 - 234*c**2/7 + 596*c - 3. What is j in u(j) = 0?
-234, -1
Suppose -4*y + 9 = 9. Let q(v) be the third derivative of 0 - 3/4*v**4 + 9/20*v**5 - 9/80*v**6 + 6*v**2 + y*v + 2/3*v**3. Let q(j) = 0. Calculate j.
2/3
Let t(q) = 326*q - 1627. Let s be t(5). Suppose 2*p - 4*p - 5*d = 9, d = -p + 3. What is m in -12*m + m**s + p*m - 5*m**2 + 9*m + m = 0?
0, 2, 3
Suppose -95 = -5*i + 40. Factor 0*l + 211 - 392 - l**4 + i*l**2 + 197 - 38*l - 4*l**3.
-(l - 2)*(l - 1)**2*(l + 8)
Let p = 80905/17759 - 196/43. Let r = p - -831/2065. Let r*z**4 + 0*z - 12/5*z**3 + 0 + 18/5*z**2 = 0. Calculate z.
0, 3
Let c(j) be the first derivative of -4/3*j**4 + 9*j - 4*j**2 - 6*j**3 + 20. Let s(l) be the first derivative of c(l). Factor s(n).
-4*(n + 2)*(4*n + 1)
Let i = -4473/4 - -5792543/5180. Let k = i + 738/1295. Let 2/7*p**3 - 4/7*p**2 - 2/7*p + k = 0. Calculate p.
-1, 1, 2
Let b(w) = 436*w + 85023. Let q be b(-195). Find c such that -39/7*c**5 + 12*c**4 + 0 + 15*c**q + 0*c - 18/7*c**2 = 0.
-1, 0, 2/13, 3
Let x(i) be the first derivative of -25*i**2 + 45*i + 5/2*i**4 + 72 - 85/3*i**3. Factor x(h).
5*(h - 9)*(h + 1)*(2*h - 1)
Let y(u) = 809*u + 17798. Let k be y(-22). Factor -1/2*s**3 + k - 1/4*s**2 - 1/4*s**4 + 0*s.
-s**2*(s + 1)**2/4
Factor 252/5 - 1/5*f**4 - 276/5*f + 91/5*f**2 - 6/5*f**3.
-(f - 3)**2*(f - 2)*(f + 14)/5
Factor 0*a**2 + 0 - 2/17*a**4 + 0*a - 162/17*a**3.
-2*a**3*(a + 81)/17
Let y(u) be the third derivative of u**7/42 - 107*u**6/6 + 23531*u**5/6 - 112885*u**4/2 + 667815*u**3/2 + 6332*u**2. Factor y(n).
5*(n - 211)**2*(n - 3)**2
Let j(o) be the second derivative of -o**5 + 122*o**4/3 - 1286*o**3/3 + 476*o**2 + 3023*o. Factor j(y).
-4*(y - 17)*(y - 7)*(5*y - 2)
Let x = 80 + -96. Let g(o) = o**3 + 14*o**2 - 27*o + 83. Let h be g(x). Factor 0 - 4/7*y**2 + 4/7*y**4 + 0*y**h + 0*y.
4*y**2*(y - 1)*(y + 1)/7
Suppose -2*q = -9*w + 7*w - 4, 2 = 5*w - 2*q. Suppose -4*g**2 - 1728 + 3*g**w - 56*g - 2*g**2 - 88*g = 0. What is g?
-24
Let g(i) = -i**3 + 4*i**2 - 11458*i - 34395. Let k be g(-3). Suppose k*w**2 + 0 + 3/2*w**3 - 87/2*w = 0. What is w?
-29, 0, 1
Let u(p) be the first derivative of 15 - 1/4*p**5 + 0*p**2 - 2*p - 5/6*p**4 - 5/6*p**3. Let b(w) be the first derivative of u(w). Factor b(q).
-5*q*(q + 1)**2
Let n(v) = -10*v**4 + 56*v**3 - 12*v**2 - 56*v - 11. Let i(w) = 11*w**4 - 57*w**3 + 13*w**2 + 57*w + 12. Let l(m) = -11*i(m) - 12*n(m). Factor l(h).
-h*(h - 1)*(h + 1)*(h + 45)
Let z(g) be the first derivative of 5*g**4/4 - 295*g**3/3 + 940*g**2 - 3120*g + 9448. Find p such that z(p) = 0.
3, 4, 52
Suppose -4016*b = -3939*b. Determine m so that m**3 - 13/4*m**4 + 0 + 5/4*m**5 + m**2 + b*m = 0.
-2/5, 0, 1, 2
Let d(b) be the first derivative of 39/2*b**2 + 5*b**3 - 27*b + 12/5*b**5 - 39/4*b**4 - 70. Let d(g) = 0. What is g?
-1, 1, 9/4
Suppose 4*u = -u + 80. Let -u*v**3 - 68*v**2 + 2*v**2 - 8*v + 0*v**2 = 0. What is v?
-4, -1/8, 0
Let o(g) be the second derivative of 85*g**4/12 - 245*g**3/6 - 15*g**2 + 4726*g. Find r such that o(r) = 0.
-2/17, 3
Let w(u) = -u**2. Let p(y) = y**3 - 11*y**2 + 26*y - 13. Let v be p(8). Let q(z) = -6*z**2 + 9*z + 30. Let a(d) = v*w(d) - q(d). Find f such that a(f) = 0.
-2, 5
Let x(n) = -n + 15. Let s = -44 - -55. Let p be x(s). Find a, given that -p*a**4 + a**4 + 9*a + 12*a**3 + 3*a**3 - 23*a**2 + 2*a**2 = 0.
0, 1, 3
Suppose -32 - 36 = 2*h. Let s = 36 + h. Factor -3*x - x + 300*x**2 + 6*x + 4*x**3 - 306*x**s.
2*x*(x - 1)*(2*x - 1)
Suppose 32/9 - 76/9*t - 10/9*t**2 = 0. Calculate t.
-8, 2/5
Let r(t) be the first derivative of 0*t**4 - 1/15*t**5 + 2*t**2 + 5 + 0*t**3 + 0*t. Let h(i) be the second derivative of r(i). Determine p so that h(p) = 0.
0
Factor -344/7*l - 2*l**2 + 150/7.
-2*(l + 25)*(7*l - 3)/7
Suppose 3*j + 4*y = 13, 0*j = j - 4*y - 15. Suppose -o - 5*p + 17 = 0, -4*p + 6 = -j*o + 4*o. Factor 24/5 - 2/15*d**3 - 16/5*d - 22/15*d**o.
-2*(d - 1)*(d + 6)**2/15
Let r(h) be the first derivative of -h**4/12 + 104*h**3/9 - 202*h**2/3 + 400*h/3 + 68. Let r(t) = 0. Calculate t.
2, 100
Let a(g) = 5*g**3 - 138*g**2 + 2175*g + 7776. Let c(r) = -4*r**3 + 138*r**2 - 2170*r - 7776. Let h(l) = -2*a(l) - 3*c(l). Suppose h(x) = 0. What is x?
-3, 36
Let a(q) be the second derivative of q**6/2340 + 8*q**5/195 + 163*q**3/6 - 2*q + 52. Let h(j) be the second derivative of a(j). Factor h(o).
2*o*(o + 32)/13
Factor -5063*i + 4958*i - 4*i**2 - i**2.
-5*i*(i + 21)
Let d = 224252 + -224250. Factor -27/2*o - 3/4*o**d - 243/4.
-3*(o + 9)**2/4
Let f be (((10 + 30/(-3))/2)/(-1))/(-4). Factor f*l**2 + 0 - 1/7*l**5 + 0*l**4 + 2/7*l**3 - 1/7*l.
-l*(l - 1)**2*(l + 1)**2/7
Factor 0 - 8/9*q - 2/9*q**2.
-2*q*(q + 4)/9
Let c(t) be the second derivative of t**5/100 - 137*t**4/30 + 1287*t**3/2 - 7290*t**2 - 2*t + 443. Factor c(m).
(m - 135)**2*(m - 4)/5
Let s(l) be the first derivative of -2*l**5/25 - 257*l**4/30 + 1246*l**3/45 + 613*l**2/15 - 176*l/5 - 2979. Let s(h) = 0. What is h?
-88, -1, 1/3, 3
Let i be (-4340)/(-700) - (-26)/30*-3. Suppose 2/15*l**4 - i*l + 12/5 + 2/15*l**2 + 14/15*l**3 = 0. What is l?
-6, -3, 1
Let p(l) = -l**4 + 4*l + 1. Let c(a) = 12*a**4 - 6000*a**3 + 6750000*a**2 - 3375000040*a + 632812499990. Let w(v) = -c(v) - 10*p(v). Factor w(n).
-2*(n - 750)**4
Let k(i) = 9*i**3 - 48*i**2 + 75*i + 5. Let n(o) = -20*o**3 + 98*o**2 - 149*o - 11. Let q(u) = -11*k(u) - 5*n(u). Factor q(b).
b*(b - 2)*(b + 40)
Let m(i) be the first derivative of i**6/21 + 8*i**5/35 - 3*i**4/14 - 68*i**3/21 - 52*i**2/7 - 48*i/7 + 518. Factor m(l).
2*(l - 3)*(l + 1)*(l + 2)**3/7
Suppose -37*c - 42 = -227. Let m(s) be the third derivative of 0*s**3 + 0*s + 1/540*s**6 + 0*s**4 + 7*s**2 - 2/135*s**c + 0. Factor m(u).
2*u**2*(u - 4)/9
Let n be (-7 - -6) + (-6 - 1). Let b be (n/(-280)*5)/((-4)/(-7)). Suppose -b*d**4 + 1/4*d**2 + 0 + 1/2*d**3 - 1/2*d = 0. Calculate d.
-1, 0, 1, 2
Let c(y) be the third derivative of y**5/30 - y**4/4 + 2*y**2. Let b be (-76)/(-57)*24/(-16). Let t(q) = q**2 - 5*q. Let i(u) = b*c(u) + 3*t(u). Factor i(v).
-v*(v + 3)
Solve -2777874*f**3 - 723*f**2 - 2955*f**2 + 2777871*f**3 = 0 for f.
-1226, 0
Let s(f) be the first derivative of -f**6/6 + 4*f**5 - 11*f**4/2 - 260*f**3 - 1521*f**2/2 - 126. Solve s(g) = 0.
-3, 0, 13
Let a(i) = 88*i - 156. Let d(b) = -b**2 + 181*b - 313. Let r(z) = z**2 - 2*z. Let h(c) = -d(c) - 2*r(c). Let w(g) = -9*a(g) - 4*h(g). Factor w(n).
4*(n - 19)*(n - 2)
Let u = 76650 - 10194237/133. Let b = u - 25/19. What is f in -2/7*f**5 + 0 - b*f**3 + 6/7*f**4 + 4/7*f - 6/7*f**2 = 0?
-1, 0, 1, 2
Let h(p) be the second derivative of 18*p**2 - 3*p + 44 + 11/3*p**3 + 1/6*p**4. Find l, given that h(l) = 0.
-9, -2
Let c(n) = -14*n**3 + 83*n**2 + 77*n - 316. Let g(w) = -5*w**3 + 28*w**2 + 25*w - 108. Let t(y) = -6*c(y) + 17*g(y). Factor t(q).
-(q - 1)*(q + 3)*(q + 20)
Let t = 3572 + -3570. Suppose -2*b + 2*l = -5*b + 10, 3*b + 25 = 5*l. Solve 4*a**t + 4/3*a + b = 0.
-1/3, 0
Factor h**4 - 5549*h**2 + 9*h**3 + 2782*h**2 - 16*h + 2773*h**2.
h*(h - 1)*(h + 2)*(h + 8)
Let o(i) be the second derivative of 13*i**4/114 + 184*i**3/57 + 28*i**2/19 + 37*i + 50. Factor o(g).
2*(g + 14)*(13*g + 2)/19
Let j(w) be the second derivative of 0 + 10/7*w**2 - 20*w - 1/35*w**5 - 5/21*w**4 + 2/21*w**3. Find g, given that j(g)