 be the second derivative of -50 - 5/18*s**3 - 1/12*s**4 + 1/90*s**6 + s - 1/3*s**2 + 1/60*s**5. Suppose k(m) = 0. What is m?
-1, 2
Let k(f) be the third derivative of 5*f**3 + 0 + 55/24*f**4 - 1/8*f**6 - 22*f + 1/4*f**5 - 2*f**2 - 1/42*f**7. Solve k(g) = 0 for g.
-3, -1, 2
Suppose -8 = -2*k - 7*g + 2*g, -k + 3*g + 4 = 0. Factor a**k - 8*a**3 + 144 + 96*a + 0*a**4 - 34*a**2 + 13*a**2 + 13*a**2.
(a - 6)**2*(a + 2)**2
Let f(m) = 50*m**2 - 3425*m + 4435. Let j(a) = -9*a**2 + 571*a - 738. Let h(k) = 6*f(k) + 35*j(k). Suppose h(i) = 0. What is i?
-39, 4/3
Suppose -53*i - 1707 = -9816. Let q = -451/3 + i. Factor q*c + 2*c**2 + 0 + 1/3*c**3.
c*(c + 2)*(c + 4)/3
Let i(p) be the first derivative of p**6/540 - p**5/9 + 25*p**4/9 - 1000*p**3/27 - 9*p**2 - 2*p + 87. Let d(u) be the second derivative of i(u). Factor d(o).
2*(o - 10)**3/9
Factor -1/7*h**3 + 828/7*h**2 + 0 + 0*h.
-h**2*(h - 828)/7
Suppose 488/9 - 2/9*s**2 + 54*s = 0. Calculate s.
-1, 244
Suppose 69*t - 484 - 253 = -530. What is v in -8/7*v**t - 2/7 - 2/7*v**4 - 12/7*v**2 - 8/7*v = 0?
-1
Suppose -4*d + 21 = 5, 52 = 4*g - 3*d. Suppose 12*s**2 - 22*s**2 + 9*s**2 - g - 8*s = 0. What is s?
-4
Let b = -86 + 101. Factor 551*r**2 - 278*r**2 - 278*r**2 - b*r.
-5*r*(r + 3)
Let b(l) be the first derivative of l**6/3240 - l**5/27 + 50*l**4/27 - 10*l**3 - 42. Let m(n) be the third derivative of b(n). Solve m(v) = 0 for v.
20
Let t(i) = i**2 + 33*i + 20. Let c be t(-33). Factor 38*h**5 - c*h**5 + 8*h**3 + 6*h**4 - 4*h**3 - 16*h**5.
2*h**3*(h + 1)*(h + 2)
Suppose -10*z + 20 = -12*z + 5*y, -4*z + 4*y - 16 = 0. Let p(c) be the second derivative of 1/6*c**3 + 1/12*c**4 - 1/2*c**2 + z - 1/20*c**5 - 22*c. Factor p(n).
-(n - 1)**2*(n + 1)
Let b(c) be the third derivative of 147*c**2 + 0*c**3 + 7/10*c**5 + 0*c + 5/8*c**4 + 0 - 3/40*c**6. Determine y, given that b(y) = 0.
-1/3, 0, 5
Let l = -4687/22940 + 1/620. Let w = -47/962 - l. Factor 0 - 2/13*j**3 + w*j + 0*j**2.
-2*j*(j - 1)*(j + 1)/13
Let c = 158695/3 - 52897. Find f such that -f + c*f**3 + 2/3*f**2 - 2/3*f**4 + 0 - 1/3*f**5 = 0.
-3, -1, 0, 1
Let d(c) = 2*c**2 - 920*c + 105890. Let o(v) = v**2 - 460*v + 52940. Let q(t) = 4*d(t) - 9*o(t). Find r such that q(r) = 0.
230
Suppose -2/17*c**4 + 66/17*c**3 + 318/17*c**2 + 444/17 - 826/17*c = 0. What is c?
-6, 1, 37
Let u(p) = -p**3 + 11*p**2 - 3*p + 1. Let l be u(11). Let y = -29 - l. Factor 12*c + 2*c**2 - 10*c**2 - 12*c**y + 4*c**2 + 4*c**4 - 4*c + 4*c**5.
4*c*(c - 1)**2*(c + 1)*(c + 2)
Let q(s) be the second derivative of 2*s**5/45 - 11*s**4/6 - 34*s**3/9 + 33*s**2 - 59*s. Let h(f) be the first derivative of q(f). Solve h(c) = 0 for c.
-1/2, 17
Suppose 152 = 9*q - q. Factor 2 - q - 10 + 50*u + 3 + 0 - 4*u**2.
-2*(u - 12)*(2*u - 1)
Let b = -210373/45 - -4675. Let t(m) be the first derivative of -6/5*m - b*m**3 - 1 + 2/5*m**2. Factor t(c).
-2*(c - 3)**2/15
Let h(m) be the first derivative of m**7/420 + 2*m**6/45 + m**5/5 - m**3/3 - m**2 + 20. Let o(k) be the third derivative of h(k). Determine q so that o(q) = 0.
-6, -2, 0
Let n = -535/12 - -4461/100. Let a(g) be the second derivative of 0*g**3 + 0*g**2 - 2/45*g**4 - n*g**6 - 3/50*g**5 - 7*g - 1/315*g**7 + 0. Factor a(p).
-2*p**2*(p + 1)**2*(p + 4)/15
Let j(n) be the first derivative of n**5/180 + 11*n**4/12 + 121*n**3/2 + 7*n**2/2 + 6*n - 46. Let f(r) be the second derivative of j(r). Factor f(v).
(v + 33)**2/3
Suppose -408 = 7*k - 1486. Let s be 11/(k/(-4)) - 46/(-14). Suppose -16*b**5 - 5*b**3 - 20*b**2 - 8*b + b**3 + 32*b**4 + 16*b**s = 0. What is b?
-1/2, 0, 1, 2
Suppose 0 = 6*x - 65 - 127. Solve 31*g**3 + 11*g**2 - x*g**3 + 37*g + 3*g + 28 = 0 for g.
-2, -1, 14
Let b(j) be the third derivative of -j**8/60480 + j**6/240 - 109*j**5/30 - 76*j**2. Let d(n) be the third derivative of b(n). Determine t so that d(t) = 0.
-3, 3
Let v be 246/656 - (-2)/(480/(-82)). Let g(m) be the first derivative of -v*m**4 + 0*m - 4/45*m**3 - 7 + 0*m**2 + 2/75*m**5. Factor g(i).
2*i**2*(i - 2)*(i + 1)/15
Let z(t) be the first derivative of 1/15*t**6 + 0*t - 8/25*t**5 + 0*t**3 + 0*t**2 - 6/5*t**4 + 52. Determine v, given that z(v) = 0.
-2, 0, 6
Solve 252 + 1504*x**2 + 811*x**2 - 2282*x**2 - 705*x = 0 for x.
4/11, 21
Let b be ((-16)/(-14) - 1) + 65216/142660. Let -b*i**2 - 21/5*i - 6 = 0. What is i?
-5, -2
What is p in 181/8*p + 183/4 - 1/8*p**2 = 0?
-2, 183
Let i(x) = 2*x + 2 + x**2 - 4*x**2 + x**2. Let r = 162 + -163. Let s(u) = -u**2 + u - 1. Let m(p) = r*i(p) - 2*s(p). Factor m(t).
4*t*(t - 1)
Let n(k) = 5*k**2 + 109*k + 14. Let c(a) = 2*a**2 + 53*a + 6. Let u(p) = -7*c(p) + 3*n(p). Determine i so that u(i) = 0.
0, 44
Factor 278271*m + 93910*m - 6151*m**3 - 61861*m - 25920 - 924485*m**2 + 6455*m**3 - 180*m**4 - 26164*m**3.
-5*(m + 72)**2*(6*m - 1)**2
Let g(v) = 28*v - 375. Let x be g(-10). Let d = x + 657. Factor 2/9*l**4 - 8/9*l**3 + 4/3*l**d - 8/9*l + 2/9.
2*(l - 1)**4/9
Let w = 1154 - 1184. Let a be 108/w*(-20)/30. Factor -a - 12/5*v - 3/5*v**2.
-3*(v + 2)**2/5
Let s(n) be the second derivative of 5/3*n**4 + 0*n**2 + 0*n**3 + 1/150*n**6 + n + 1/5*n**5 - 15. Factor s(g).
g**2*(g + 10)**2/5
Let r(b) be the first derivative of 2*b**6/5 - 21*b**5/5 + 333*b**4/20 - 163*b**3/5 + 339*b**2/10 - 18*b + 2839. Find k, given that r(k) = 0.
1, 2, 15/4
Let a(f) be the first derivative of f**3/21 - 303*f**2/7 + 605*f/7 + 844. Factor a(d).
(d - 605)*(d - 1)/7
Let c(g) = 5*g**2 + 18*g + 41. Let o be c(-13). Let i = o - 649. Factor 15/2*r**2 - 19/2*r**i + 7/2*r**4 - 1/2*r - 1.
(r - 1)**3*(7*r + 2)/2
Let m(s) be the second derivative of -5*s**4/12 + 1340*s**3/3 + 14*s + 2. Determine n, given that m(n) = 0.
0, 536
Suppose -2*s = 2, 4*y = -8*s + 6*s + 118. Find t, given that 13*t**2 - y*t - 4*t**2 + 14 - 5 = 0.
1/3, 3
Factor 0 + 408/7*q + 117*q**2 + 3/7*q**4 + 414/7*q**3.
3*q*(q + 1)**2*(q + 136)/7
Let v(y) be the first derivative of -y**4/18 - 2558*y**3/27 + 2561*y**2/9 - 854*y/3 + 1411. Factor v(h).
-2*(h - 1)**2*(h + 1281)/9
Let p(r) = r**2 - 1. Let t(d) = -d**3 - 6*d**2 + 4*d + 15. Let b be (-42)/10 + (-19)/(-95) - -19. Let a(w) = b*p(w) + 5*t(w). Let a(s) = 0. What is s?
-3, -2, 2
Let z = -3 - -6. Suppose 0 = -62*j + 43*j + 57. Solve -10*u**2 - 2*u**3 + 14*u**j + 2*u**3 + u**z = 0 for u.
0, 2/3
Let n = 10595 - 10592. Let t(j) be the third derivative of 0 + 0*j + 23*j**2 - 1/36*j**4 + 1/12*j**n + 1/360*j**5. Find x such that t(x) = 0.
1, 3
Let d be 4/3*540/40. Find k, given that k + 3*k + 18*k**2 - 3*k**3 - k - d = 0.
-1, 1, 6
Let g be 17/(-77) - ((-27412)/(-484) + -57). Factor -51/7*j**3 + 0 - 4913/7*j + g*j**4 + 867/7*j**2.
j*(j - 17)**3/7
Let a be 256/(-760)*(7 + -12). Let r be 144/180*(-10)/(-76). Suppose 30/19*c**2 + 16/19*c**3 - a + r*c**4 - 16/19*c = 0. What is c?
-4, -1, 1
Let l = -482/145 + 282/29. Suppose -l + 8/5*w + 4/5*w**2 = 0. What is w?
-4, 2
Let z(o) be the second derivative of 9/2*o**2 + 47/10*o**5 - 1/6*o**4 + 19/10*o**6 - 13/2*o**3 - 6*o + 3/14*o**7 - 2. Suppose z(a) = 0. Calculate a.
-3, -1, 1/3
Suppose 5*a + 56 = -6*f + 7*f, 52 = f - 4*a. Let c be 23/21 + (f/28)/(-3). Determine n, given that 1/3*n**3 + 0 + c*n + n**2 = 0.
-2, -1, 0
Suppose -4*p = -2*b + 2, 2*b - 3 - 2 = p. Let z be -8 + 12 - p/2*8. Solve 2/5*m**4 + 0 + 0*m**2 + z*m + 0*m**3 - 2/5*m**5 = 0 for m.
0, 1
Factor -12544/17 - 228/17*a**2 - 2/17*a**3 - 6720/17*a.
-2*(a + 2)*(a + 56)**2/17
Suppose m - 83 = 2*p - 4*m, -4*m + 46 = -p. Let b(q) = q**3 + 36*q**2 + 65*q - 98. Let o be b(p). Solve o*n + 0 - 4/7*n**2 = 0.
0, 7
Let t = 61759/74106 - 2/37053. Solve t*f - 1/3 - 1/2*f**2 = 0 for f.
2/3, 1
Let f = -16193/6 + 2699. Let n(g) be the second derivative of 1/18*g**3 + 1/126*g**7 - 1/30*g**5 + 1/18*g**4 + 0 - 1/90*g**6 - 2*g - f*g**2. Factor n(m).
(m - 1)**3*(m + 1)**2/3
Let x(b) be the third derivative of -b**7/2520 - b**6/40 + 19*b**5/120 + 61*b**4/24 + 125*b**2. Let v(a) be the second derivative of x(a). Factor v(l).
-(l - 1)*(l + 19)
Factor 91/2*w + 1/2*w**2 + 45.
(w + 1)*(w + 90)/2
Find l such that -160/7 + 0*l**3 - 94/7*l**2 - 36*l + 2/7*l**4 = 0.
-5, -2, -1, 8
Let l(r) be the third derivative of 22*r**2 + 1/70*r**6 + 1/735*r**7 - 8/21*r**3 - 1/14*r**4 + 1/30*r**5 + 0*r + 0. Let l(s) = 0. Calculate s.
-4, -2, -1, 1
Let r(q) be the first derivative of -124 - 36*q**3 + 3/2*q**2 - 3/2*q**6 - 81/2*q**4 - 78/