ve of -f**5/40 - 3*f**4/16 + 47*f**2/2 + 3*f - 14. Let o(d) be the first derivative of m(d). Suppose o(x) = 0. Calculate x.
-3, 0
Let p(h) = -h**3 + 2*h - 3. Let k(a) = 3*a**3 + 184*a**2 + 174*a + 21. Let v(w) = k(w) + 7*p(w). Determine u so that v(u) = 0.
-1, 0, 47
Let l be -126*(-39)/351 - (-148)/(-11). Factor -8/11*o - 2/11*o**2 - l.
-2*(o + 1)*(o + 3)/11
Let p(c) = -c**3 - 11*c**2 - 1. Let w be p(-11). Let d(y) = y**2 + 1. Let s(q) = -8*q**2 + 48*q - 48. Let t(j) = w*s(j) - 4*d(j). Factor t(x).
4*(x - 11)*(x - 1)
Let b be -15*(1792/24)/8. Let n be 82/3 + 134 + b. What is j in 22/3 - n*j - 2*j**2 = 0?
-11, 1/3
Find v such that -20*v - 10/3*v**3 + 71/3*v**2 + 0 - 1/3*v**4 = 0.
-15, 0, 1, 4
Let p be (-14)/63 + (-546)/(-27). Suppose 196 - 31*x**2 + 52*x**2 + 28*x - p*x**2 = 0. Calculate x.
-14
Let l be (-200)/96 - -2 - (-2)/24. Let s(p) be the second derivative of -3/2*p**2 + 1/2*p**3 + 15*p - 1/16*p**4 + l. Solve s(u) = 0.
2
Let x(s) be the first derivative of -6*s**5/5 + 37*s**4 - 94*s**3/3 - 24*s**2 + 1425. Determine k, given that x(k) = 0.
-1/3, 0, 1, 24
Let i be (5160/(-25284))/((-5)/14). Let 2/7*o**5 - 2/7 + 4/7*o**2 - 2/7*o**4 + 2/7*o - i*o**3 = 0. What is o?
-1, 1
Let o(l) be the first derivative of 3*l**4/4 + 1135*l**3 + 967869*l**2/2 + 964467*l + 3546. Determine v, given that o(v) = 0.
-567, -1
Factor 2806/3 + 467*l - 1/3*l**2.
-(l - 1403)*(l + 2)/3
Let p(s) be the first derivative of -s**3/15 + 92*s**2/5 - 8464*s/5 + 5804. Suppose p(w) = 0. Calculate w.
92
Let t = -2 - -2. Suppose -3*x + 11*o - 6*o = 9, 29*o = 5*x + 77. Let 1/2 - 1/2*b**x + t*b = 0. Calculate b.
-1, 1
Let x = 4778 - 4776. Let f(s) be the second derivative of 4/13*s**x - 24*s + 1/78*s**4 + 0 + 5/39*s**3. Factor f(h).
2*(h + 1)*(h + 4)/13
Let -361/4*l**4 - 717/2*l**3 - 357/4 - 1429/4*l - 1/4*l**5 - 1073/2*l**2 = 0. Calculate l.
-357, -1
Let t = -240 + 244. Determine p so that 3*p**2 - t*p**2 - 14*p + 4*p**2 - p**2 = 0.
0, 7
What is s in -1477*s + 36*s**5 - 19706*s + 18453*s**3 + 3198 + 4159*s**2 + 3150 - 1644*s**4 + 945*s**2 + 3050*s**2 = 0?
-4/3, 1/2, 23
Let n(z) = -278*z - 28076. Let g be n(-101). Factor -242/3 - 2/3*u**g + 44/3*u.
-2*(u - 11)**2/3
Solve 32/13*j + 8/13*j**2 - 2/13*j**3 - 128/13 = 0 for j.
-4, 4
Let b = 16660/50187 + 23/16729. Find n such that 0 - b*n**2 - 25/3*n = 0.
-25, 0
Let h(u) be the second derivative of 0 + 144/17*u**2 + 21*u - 8/17*u**3 + 1/102*u**4. Suppose h(p) = 0. Calculate p.
12
Factor -2200802/3 + 4196/3*c - 2/3*c**2.
-2*(c - 1049)**2/3
Let t(y) = -15*y**3 - 429*y**2 - 4005*y - 10029. Let q(i) = 73*i**3 + 2144*i**2 + 20025*i + 50111. Let b(l) = -6*q(l) - 29*t(l). Factor b(s).
-3*(s + 5)**2*(s + 131)
Let h be ((-4)/(-4266))/((-100)/96825). Let o = -3/158 - h. Suppose o*b - 2/3*b**3 + 8/9*b**2 - 8/9*b**4 - 2/9*b**5 + 0 = 0. What is b?
-2, -1, 0, 1
Let t(n) be the third derivative of n**7/1680 + n**6/80 + 9*n**5/80 + 9*n**4/16 - 79*n**3/6 + 89*n**2. Let i(q) be the first derivative of t(q). Factor i(x).
(x + 3)**3/2
Suppose 1589*d**2 + 56*d**4 - 1008*d - 1733*d**2 + 172*d**3 - 60*d**4 = 0. What is d?
-2, 0, 3, 42
Let g be -22*(-5)/(-10) - -6 - -971. Let n = g + -964. Determine m, given that -36/5*m**n - 12/5*m - 1/5 = 0.
-1/6
Let p = -16 - -13. Let b(o) = -2*o - 4. Let d be b(p). Factor 2*u**2 + u**2 + 2*u**d + 25 - 33*u + 3*u.
5*(u - 5)*(u - 1)
Let s be 2/4 + 14/4. Let y(c) be the second derivative of -c**4/12 + c**2/2 - 39*c + 2. Let d(m) = -16*m**2 - 16*m. Let k(h) = s*y(h) + d(h). Solve k(l) = 0.
-1, 1/5
Suppose 18*k = 15*k + d + 10, 5*k + 4*d - 11 = 0. Let t(s) be the first derivative of 0*s - 1/15*s**k + 19 + 0*s**2. Factor t(x).
-x**2/5
Determine d so that 0*d + 130/21*d**2 + 2/21*d**3 + 0 = 0.
-65, 0
Let k(f) be the first derivative of -f**4/24 - 7*f**3/6 - 13*f**2/4 - 56*f + 42. Let c(b) be the first derivative of k(b). Factor c(n).
-(n + 1)*(n + 13)/2
Let p(t) be the third derivative of -t**5/180 - 2101*t**4/72 - 350*t**3/3 - 10095*t**2. Find b such that p(b) = 0.
-2100, -1
Find a such that -250/3 + 50*a - 10*a**2 + 2/3*a**3 = 0.
5
Let t = 89359/2 - 44666. Let -3/8*y**2 + 9/2*y - t = 0. What is y?
6
Suppose 0 = 5*q - 3*w - 543, -4*q - 2*w - 3*w = -464. Suppose -4*t**2 + q*t - 105*t + 3*t**2 = 0. Calculate t.
0, 6
Let l(i) = -52*i**3 - 4*i**2 + 464*i - 288. Let k(s) = 18*s**3 + s**2 - 155*s + 96. Let q(h) = 8*k(h) + 3*l(h). Factor q(x).
-4*(x - 3)*(x + 4)*(3*x - 2)
Let x(z) be the third derivative of -z**8/84 - 4*z**7/21 + 19*z**6/15 - 16*z**5/15 - 37*z**4/6 + 52*z**3/3 + 1137*z**2. Let x(d) = 0. Calculate d.
-13, -1, 1, 2
Let d(x) be the second derivative of 2*x**7/315 + x**6/225 - 6*x**5/25 + 23*x**4/45 + 2*x**3/45 - x**2 - 98*x - 8. Let d(i) = 0. What is i?
-5, -1/2, 1, 3
Let s = 18220/9 + -18218/9. Let 16/9*b**2 + s*b**5 - 2/3*b - 4/3*b**3 + 0*b**4 + 0 = 0. Calculate b.
-3, 0, 1
Let u = -55 + 57. Factor f**2 - 3*f**3 - 18*f**2 + 6*f**4 + 7*f**2 + 4*f**u + 3*f**5.
3*f**2*(f - 1)*(f + 1)*(f + 2)
Let g(r) be the first derivative of r**5/180 - r**4/12 - 3*r**3/2 - 8*r**2 - 2*r - 61. Let s(c) be the second derivative of g(c). Factor s(a).
(a - 9)*(a + 3)/3
Let n(r) be the first derivative of 4*r**5/5 - 3760*r**4 + 6280032*r**3 - 3924999936*r**2 - 15775480512*r + 7361. Factor n(g).
4*(g - 1254)**3*(g + 2)
Let u(b) be the first derivative of 2*b**5/5 - 19*b**4/6 + 4*b**3/3 + 1068. Suppose u(j) = 0. What is j?
0, 1/3, 6
Factor 76*g**3 - 63*g**2 - 34*g**2 + 113*g**2.
4*g**2*(19*g + 4)
Let s(c) = -c**3 + 11*c**2 - 20*c - 19. Let m be s(11). Let f = m - -243. Determine i so that 2/7*i**f - 4/7*i - 2/7 + 0*i**2 + 4/7*i**3 = 0.
-1, 1
Let r(u) be the third derivative of -3/10*u**4 + 0*u - 1/15*u**3 - 27/50*u**5 + 7*u**2 - 2. Determine h, given that r(h) = 0.
-1/9
Suppose 2972/9*b + 2/9*b**2 + 1104098/9 = 0. Calculate b.
-743
Let u(m) be the third derivative of -98*m**2 + 0*m + 3/5*m**3 - 1/200*m**6 + 0 + 1/25*m**5 + 11/40*m**4. Solve u(a) = 0 for a.
-1, 6
Let s(h) be the first derivative of -h**8/12600 + h**7/2100 - h**5/225 - 7*h**3/3 - 3*h - 38. Let l(n) be the third derivative of s(n). Factor l(x).
-2*x*(x - 2)**2*(x + 1)/15
What is u in 762/11*u**2 + 1110/11 - 4632/11*u + 24/11*u**3 = 0?
-37, 1/4, 5
Suppose 2*p - 60 = -10*p. Suppose 3*h + 2*h = 15. Determine y, given that 6*y**h - 144*y**p - 6*y**4 - 3*y**2 + y**2 + 146*y**5 = 0.
0, 1
Let q(f) be the first derivative of -f**6/2 + 408*f**5/5 + 621*f**4/2 + 416*f**3 + 417*f**2/2 + 297. Suppose q(u) = 0. Calculate u.
-1, 0, 139
Let b(l) be the first derivative of -l**4/2 - 94*l**3 + 1176*l**2 - 4768*l + 3149. Determine f so that b(f) = 0.
-149, 4
Let d = 345/44 + -57/22. Let l = 978015/217334 - 6/108667. Factor -l - 3/4*j**2 + d*j.
-3*(j - 6)*(j - 1)/4
Let m(d) be the first derivative of -d**6/6 - 18*d**5/5 - 3*d**4 + 584*d**3/3 - 768*d**2 + 1152*d + 126. Factor m(a).
-(a - 2)**3*(a + 12)**2
Let c(o) be the third derivative of 3*o**7/140 + o**6/4 - 123*o**5/40 - 15*o**4 - 25*o**3 + 1352*o**2. What is r in c(r) = 0?
-10, -1, -2/3, 5
Let h be 33/396*-40 + (-4 - -5*2). Suppose -h*d**2 + 1 + 17/6*d - 7/6*d**3 = 0. What is d?
-3, -2/7, 1
Let l be (-4)/(11180/19575) - -7. Let b = 2222/3913 - l. Let -12/7*g**3 + 0 - 4/7*g**4 + 4/7*g**2 + b*g**5 + 8/7*g = 0. Calculate g.
-1, 0, 1, 2
Let d(r) be the first derivative of 12/25*r**5 + 7/5*r**4 - 14/5*r**2 - 151 - 4/15*r**3 - 8/5*r. What is j in d(j) = 0?
-2, -1, -1/3, 1
Let w be 10 + -18 + 130/10. Let l(t) be the third derivative of 1/240*t**w + 0*t - 3*t**2 + 1/96*t**4 + 0*t**3 + 0. What is f in l(f) = 0?
-1, 0
Suppose -16 = -4*a - 4*q, 5*q - 6 = 2*q. Solve 2 + 18*w**3 - 7*w**2 - 20*w**a - 2 - 3*w**4 = 0.
0, 3
Solve 114 - 4*d**2 - 2*d**5 + 315*d**3 + 167 + 385*d**3 - 698*d + 181 - 112 - 346*d**4 = 0 for d.
-175, -1, 1
Let u(y) = 7*y**2 + 188*y + 192. Let o(a) = 2*a**2 + 47*a + 48. Let c(l) = -22*o(l) + 6*u(l). Factor c(j).
-2*(j - 48)*(j + 1)
Let m(v) be the first derivative of 0*v - 9/2*v**4 - 4*v**2 + v**6 + 8*v**3 - 4/5*v**5 + 10. Determine i so that m(i) = 0.
-2, 0, 2/3, 1
Let p = -538093/3 - -2690513/15. Factor -2/5*r**2 - p*r + 8.
-2*(r - 2)*(r + 10)/5
Let r(s) = 4*s**2 - 3*s + 3. Let l be r(0). Find n such that -10*n**2 + 9*n**l + 12*n - 3*n**4 + 31 - 8*n**2 - 7 - 24*n**3 = 0.
-2, 1
Let q(v) = 3*v**3 - v**2 + 2*v - 2. Let c(i) = 42*i**3 