y - 23. Let d be q(-2). Suppose 3 = d*t - 15. Solve 0 - 1/4*z**3 + 0*z**t + z = 0 for z.
-2, 0, 2
Let h(g) = -g**2 + g - 9. Let i(d) = 4*d**2 + 288*d + 590. Let s(k) = -2*h(k) - i(k). Determine t, given that s(t) = 0.
-143, -2
Factor 3*n**3 - n**3 - 293*n - 36*n**2 + 206*n - 32 + 153*n.
2*(n - 16)*(n - 1)**2
Let p be 1328/64 + (-156)/13. Let v(j) be the first derivative of 10 + p*j**2 - 15*j + 0*j**3 - 5/8*j**4. Let v(z) = 0. What is z?
-3, 1, 2
Let s(w) be the third derivative of -2/9*w**4 + 25/27*w**3 + 85*w**2 + 0 + 2*w - 1/270*w**5. Determine i, given that s(i) = 0.
-25, 1
Let o(g) be the third derivative of 845*g**6/56 - 117*g**5/4 - 129*g**4/56 - g**3/14 + 9404*g**2. Factor o(b).
3*(b - 1)*(65*b + 1)**2/7
Factor 416/3*o**2 + 2/3*o**3 + 7070*o - 14700.
2*(o - 2)*(o + 105)**2/3
Let y(c) be the first derivative of c**4/20 - 7*c**3/15 - 49*c**2/5 + 137. Factor y(u).
u*(u - 14)*(u + 7)/5
Let u = 738366/5 + -147642. Determine h, given that -6*h**2 - 168/5 + u*h - 3/5*h**3 = 0.
-14, 2
Let f(g) be the third derivative of -g**6/180 - g**5/30 + g**4/2 + 40*g**3/9 - 4*g**2 + 1595*g. What is r in f(r) = 0?
-5, -2, 4
Let g(x) be the third derivative of -x**8/21 + 10*x**7/21 - 19*x**6/15 + 8*x**5/15 + 111*x**2 - 28. Determine d so that g(d) = 0.
0, 1/4, 2, 4
Let p(w) be the third derivative of w**7/105 - 19*w**6/30 + 31*w**5/2 - 150*w**4 - 39*w**2 - 7*w - 3. Suppose p(c) = 0. Calculate c.
0, 8, 15
Let x(s) be the first derivative of -3*s**5/5 + 159*s**4/2 + 324*s**3 + 489*s**2 + 327*s + 462. Factor x(k).
-3*(k - 109)*(k + 1)**3
Let t(r) be the second derivative of 2*r**7/189 - 13*r**6/90 + 7*r**5/18 + 5*r**4/9 - 37*r**3/27 - 7*r**2/6 + 624*r. What is g in t(g) = 0?
-1, -1/4, 1, 3, 7
Factor -176*r + 86436 - 561*r + 3*r**2 - 528*r + r**2 + 89*r.
4*(r - 147)**2
Let y be (12/(-21))/(((-8)/(-48))/((-70)/120)). Factor -15/7*l**y + 3/7*l**3 + 18/7*l + 0.
3*l*(l - 3)*(l - 2)/7
Let t(u) be the second derivative of 1/15*u**6 - 5/6*u**4 + 45*u + u**3 + 0*u**2 + 1/10*u**5 + 0. Find c, given that t(c) = 0.
-3, 0, 1
Let b(o) be the first derivative of 910*o**3/3 - 3645*o**2/2 + 20*o + 1360. Solve b(r) = 0 for r.
1/182, 4
Solve 0 + 20/3*b**2 + 2/3*b**3 - 22/3*b = 0 for b.
-11, 0, 1
Let t(y) be the second derivative of -y**5/30 - 98*y**4/9 - 388*y**3/9 - 19*y + 5. Factor t(j).
-2*j*(j + 2)*(j + 194)/3
Let d(s) be the first derivative of s**4/114 + 11*s**3/57 + 24*s**2/19 + 277*s - 42. Let x(o) be the first derivative of d(o). Let x(i) = 0. Calculate i.
-8, -3
Let f(v) be the first derivative of -5*v**6/24 - 123*v**5/4 - 9945*v**4/8 + 53235*v**3/2 + 27583335*v**2/8 + 381717765*v/4 + 14612. Factor f(n).
-5*(n - 33)*(n + 39)**4/4
Let t be (-3)/(27/(-24)) - 2/3. Suppose -z - 4*z = t*h - 25, -2*z + 31 = 5*h. Factor 9*i - 2*i**4 - 4*i**2 + 2*i**z - 9*i - 8*i**3.
-2*i**2*(i + 1)*(i + 2)
Factor -3/4*b**2 + 99/2*b - 270.
-3*(b - 60)*(b - 6)/4
Let h(i) = 21*i**3 + 21*i**2 - 39*i - 102. Let y(k) = -12*k**3 - 9*k**2 + 20*k + 52. Let f(o) = 5*h(o) + 9*y(o). Determine z, given that f(z) = 0.
-1, 2, 7
Let c(o) be the third derivative of 5*o**8/336 + o**7/42 - 11*o**6/24 + 7*o**5/12 + 25*o**4/12 - 20*o**3/3 - 62*o**2 - o + 1. Solve c(f) = 0 for f.
-4, -1, 1, 2
Let n(k) be the first derivative of k**5/5 - 8*k**4 + 37*k**3 + 16*k**2 - 112*k - 3535. Let n(r) = 0. What is r?
-1, 1, 4, 28
Let z(p) = 5*p**3 + 14*p**2 - 8*p + 8. Let x(c) = 2*c**3 + 5*c**2 - 3*c + 3. Let b(a) = -9*a + 39. Let m be b(4). Let f(w) = m*z(w) - 8*x(w). Factor f(v).
-v**2*(v - 2)
Let s = 4255 + -21397/5. Let q = s - -249/10. Find n such that q*n**2 + 9/2 - 3*n = 0.
3
Let m(r) be the first derivative of -1/12*r**3 - 1/24*r**4 + 9 + 2*r + 1/40*r**5 + 1/4*r**2. Let v(i) be the first derivative of m(i). What is x in v(x) = 0?
-1, 1
Let r = -14999 + 15003. Let t(c) be the first derivative of 5/6*c**r + 3*c**2 + 4/3*c + 8/3*c**3 + 14. Factor t(x).
2*(x + 1)**2*(5*x + 2)/3
Determine i, given that -1/7*i**3 + 257/7*i + 1506/7 - 250/7*i**2 = 0.
-251, -2, 3
Let o(g) be the third derivative of -g**5/360 + 47*g**4/144 - 41*g**3/6 - g**2 + 326. Factor o(b).
-(b - 41)*(b - 6)/6
Let n(h) = -11*h - 64. Let m be n(-6). Factor -7*v**m + 16*v**2 - 10*v**2 + 5*v**3 - 4*v**3.
v**2*(v - 1)
Let y(i) be the first derivative of i**6/6 + 7*i**5/15 - 95*i**4/6 - 70*i**3/9 + 187*i**2/6 + 21*i - 5349. Suppose y(j) = 0. Calculate j.
-9, -1, -1/3, 1, 7
Factor 10/7*p**2 + 2088/7 + 552/7*p - 4/7*p**3.
-2*(p + 6)**2*(2*p - 29)/7
Let z(f) be the first derivative of -f**6/2 + 36*f**5/5 + 297*f**4/4 - 1210*f**3 - 862. Factor z(x).
-3*x**2*(x - 11)**2*(x + 10)
Let m(s) be the first derivative of s**3 + 99*s**2 - 1065*s - 6720. Factor m(u).
3*(u - 5)*(u + 71)
Let m(s) be the first derivative of -3*s**5/35 - 411*s**4/14 - 19309*s**3/7 - 110970*s**2/7 - 218700*s/7 - 768. Factor m(g).
-3*(g + 2)**2*(g + 135)**2/7
Let l(d) be the second derivative of 9/2*d**3 + 33/4*d**4 - 88*d + 0 + 0*d**2 - 49/10*d**6 + 21/20*d**5. Determine n, given that l(n) = 0.
-3/7, 0, 1
Let -3*j**4 + 13656*j - 63*j**3 - 14937*j - 259*j**2 - 882 - 200*j**2 = 0. Calculate j.
-7, -6, -1
Let n be 10*10/3000*8. Let y(v) be the second derivative of -10*v + n*v**3 + 0 - 1/60*v**4 + 6/5*v**2 - 1/100*v**5. Factor y(t).
-(t - 3)*(t + 2)**2/5
Let l(s) = 1085*s**2 + 4495*s. Let z(a) = -79*a**2 - 321*a. Let t(p) = 4*l(p) + 55*z(p). Factor t(g).
-5*g*(g - 65)
Factor -70*w**2 - 118*w**2 - 1764172*w**3 + 1764171*w**3 - 10310*w - 17298 + 1289*w.
-(w + 2)*(w + 93)**2
Factor -95*b - 56*b**4 - 256*b**2 - 14070*b**3 + 14098*b**3 + 55*b**4 + 863*b.
-b*(b - 12)*(b - 8)**2
Factor -734/5*k + 92/5 - 16/5*k**2.
-2*(k + 46)*(8*k - 1)/5
Let m be -57*10 - (-17 + 4 + 12). Let b = m + 5123/9. Determine c so that 2/9*c - 4/9*c**2 + b = 0.
-1/2, 1
Let y(r) be the third derivative of -r**6/60 + 419*r**5/15 + 1679*r**4/12 + 280*r**3 - 126*r**2 + 17. Let y(d) = 0. What is d?
-1, 840
Let o(d) = d**3 + 26*d**2 + 12*d - 52. Let u(w) = -3*w**3 - 54*w**2 - 24*w + 99. Let x(h) = 9*o(h) + 4*u(h). Factor x(r).
-3*(r - 6)*(r - 2)*(r + 2)
Let z = -428734 - -8145948/19. Solve -z*i**3 + 16/19*i - 10/19*i**2 + 96/19 = 0 for i.
-4, 3
Let l(a) = 286*a**4 - 1169*a**3 + 1545*a**2 - 651*a + 3. Let n(q) = q**4 - 7*q**3 + q**2 + q - 1. Let y(p) = -l(p) - 3*n(p). Factor y(m).
-m*(m - 2)*(17*m - 18)**2
Let p be (-1)/2 + 0 + 340/30464*608. Let 180/7 - 156/7*z + p*z**2 - 4/7*z**3 = 0. What is z?
3, 5
Factor 40*s**3 + 120*s + 42*s**4 + 35*s**4 + 35*s**4 - 62*s**2 - 116*s**4 - 62*s**2.
-4*s*(s - 5)*(s - 3)*(s - 2)
Let l be (6 - (-4)/(-6))/((-4)/(-6)). Suppose -5*r + 2*a = 4*a - l, r - 4*a - 6 = 0. Solve -24/5*d - 36/5 - 4/5*d**r = 0.
-3
Let k(m) be the first derivative of 16*m + 33 + m**4 - 4/3*m**3 - 8*m**2. Factor k(h).
4*(h - 2)*(h - 1)*(h + 2)
Let o(f) = -2*f**2 + 123*f - 1798. Let n(x) = 4*x**2 - 245*x + 3594. Let a(k) = -6*n(k) - 10*o(k). Determine m so that a(m) = 0.
28, 32
Let y = 28249/6054 + 1/2018. Factor y*k + 4/3*k**2 - 2/3*k**3 + 8/3.
-2*(k - 4)*(k + 1)**2/3
Solve 720/7 - 58/7*b**2 + 18/7*b**3 - 3228/7*b = 0 for b.
-12, 2/9, 15
Suppose -5 = -t - 5*n + 15, 0 = 2*t + n - 40. Find a, given that -18*a + 37*a + t*a + 26 + 3*a**2 - 68 = 0.
-14, 1
Let n(g) be the third derivative of 8/15*g**3 - 1/10*g**4 + 1/50*g**6 + 0*g + 2/525*g**7 + 0 + 12*g**2 - 1/15*g**5. Factor n(q).
4*(q - 1)**2*(q + 1)*(q + 4)/5
Let d(b) = -9*b + 38. Let c be d(4). Factor -30*y**c - 413*y**4 + 352*y**5 + 35*y**4 - 109*y**5 + 6*y**2 - 204*y**3.
3*y**2*(y - 2)*(9*y + 2)**2
Let b = -155235 + 155238. Find f such that 4/11*f**b - 24/11*f**2 + 26/11*f**4 - 2/11 - 16/11*f + 12/11*f**5 = 0.
-1, -1/6, 1
Let h = 82 - 82. Factor 23*t - 3*t**3 - 6*t**3 + 7*t + h*t**3 + 87*t**2.
-3*t*(t - 10)*(3*t + 1)
Let h(i) be the first derivative of -i**5/20 - 21*i**4/16 + 253*i**3/6 + 2541*i**2/2 - 2662*i + 6870. Let h(j) = 0. What is j?
-22, 1, 22
Factor 10 - 12719*u**2 + 338 + 12821*u**2 - 447*u - 3*u**3.
-3*(u - 29)*(u - 4)*(u - 1)
Suppose 4*p + 5*w + 2569 = 5*p, -5*p + 5*w + 12865 = 0. Factor 207*l - 11*l - p*l**2 - 4 + 173*l**2.
-(49*l - 2)**2
Let b(l) be the second derivative of -7*l**6/24 + 17*l**5/12 - 65*l**4/24 + 5*l**3/2 - 3*l**2 + 11*l - 2. Let p(g) be the first derivative of b(g). Factor p(z).
-5*(z - 1)**2*(7*z - 3)
Factor -58/11*i - 2/11*i**4 + 54/11*i**2 + 20/11 