b) be the third derivative of b**8/336 - 51*b**7/70 + 4039*b**6/60 - 79919*b**5/30 + 218491*b**4/8 + 823543*b**3/6 - 669*b**2 + 4*b. Factor h(g).
(g - 49)**3*(g - 7)*(g + 1)
Let f(r) be the first derivative of r**5/420 + 5*r**4/42 + 50*r**3/21 + r**2 - 2*r + 56. Let c(q) be the second derivative of f(q). Factor c(v).
(v + 10)**2/7
Let t(o) = -38*o**3 + 1911*o**2 + 3016*o - 1996. Let j(x) = -215*x**3 + 10830*x**2 + 17090*x - 11310. Let u(i) = 8*j(i) - 45*t(i). Find g, given that u(g) = 0.
-2, 1/2, 66
Let -2/9*p**5 - 4/9*p + 2/3*p**3 + 0 - 2/9*p**2 + 2/9*p**4 = 0. What is p?
-1, 0, 1, 2
Let j(d) be the second derivative of -d**7/189 + d**6/135 + 2*d**5/15 - 14*d**4/27 + 16*d**3/27 + 742*d + 1. Determine p so that j(p) = 0.
-4, 0, 1, 2
Let a = -318 - -346. Suppose 5*m - 32*p = -a*p + 19, -4*m + 9 = 3*p. What is i in 3/5*i**2 - 3/5 - 3/5*i**m + 3/5*i = 0?
-1, 1
Let h(v) be the second derivative of -v**6/90 + 7*v**5/60 - v**4/2 + 10*v**3/9 - 4*v**2/3 - v - 58. Let h(b) = 0. Calculate b.
1, 2
Suppose 3*t + 35 = -3*o + 5*o, -o + 14 = 2*t. Suppose o*f - f**2 + 0 + 3 - 2 - 1 = 0. Calculate f.
0, 16
Let b(x) be the second derivative of x**4/24 + 19*x**3/6 + 261*x**2/4 + 633*x + 3. Determine k, given that b(k) = 0.
-29, -9
Let z(i) = -i**3 + 3*i**2 + 4*i - 10. Let d = -45 + 47. Let y be z(d). Factor -2*m**5 - 2*m**3 + y*m**2 - 13*m**4 - 2*m**2 + 9*m**4.
-2*m**3*(m + 1)**2
Let c(j) be the second derivative of -j**6/105 - j**5/7 - 29*j**4/42 - 32*j**3/21 - 12*j**2/7 + 473*j + 1. Solve c(y) = 0 for y.
-6, -2, -1
Let a be (-18)/(-42) - 703323/(-315). Let b = 2241 - a. Factor 27/5*g**3 + b*g - 12*g**2 - 6/5.
3*(g - 1)**2*(9*g - 2)/5
Solve 163 + 190 - 40*n**2 + 347 - 141*n**2 + 360*n - 5*n**3 - 164*n**2 = 0.
-70, -1, 2
Let z(n) be the first derivative of -n**6/24 - 5*n**5 + 205*n**4/8 - 155*n**3/3 - 91*n**2 + 10. Let l(f) be the second derivative of z(f). Factor l(i).
-5*(i - 1)**2*(i + 62)
Let o be (2100/(-98) - 1) + 8 - -15. Let -20/7*d**2 - 12/7 - 4*d - o*d**3 = 0. What is d?
-3, -1
Factor 0 + 3/2*f**3 + 279/2*f**2 - 285*f.
3*f*(f - 2)*(f + 95)/2
Suppose 3/2*r**2 - 39 + 33/2*r = 0. Calculate r.
-13, 2
Let y(d) be the second derivative of -2*d**7/21 + 136*d**6/15 + 28*d**5 - 4*d + 283. Let y(z) = 0. What is z?
-2, 0, 70
Let p = 207 - 205. Determine h, given that 8*h**2 + 138*h**p + 3*h**3 - 23*h**2 + 966 + 234 + 1320*h = 0.
-20, -1
Factor 1539/4 + 3/4*h**3 - 999/4*h + 153/4*h**2.
3*(h - 3)**2*(h + 57)/4
Suppose 2*y + 4*r = r + 16, 2*y - 4*r = 2. Factor 4*z**4 - y*z**3 - 2*z**2 + 2*z**4 - 10*z**4 - z**5.
-z**2*(z + 1)**2*(z + 2)
Let -4/9*z + 1142/9*z**2 + 0 = 0. What is z?
0, 2/571
Suppose 0 = 2*b - 4*p - 8, 156 = 5*b - 3*p + 143. Factor -3/8 + 0*w + 3/8*w**b.
3*(w - 1)*(w + 1)/8
Let y(x) be the first derivative of -x**4/2 + 206*x**3/3 - 2491*x**2 - 16854*x - 5408. Find n such that y(n) = 0.
-3, 53
Let w be 24/(-64) + (-1188)/16. Let a = w - -303/4. Solve -3/8*b**2 - 3/4 - a*b = 0 for b.
-2, -1
Let y(h) be the first derivative of h**4/66 + 94*h**3/33 + 2209*h**2/11 + 90*h + 4. Let a(i) be the first derivative of y(i). Let a(r) = 0. What is r?
-47
Let i(a) be the second derivative of -33*a**5/40 + 67*a**4/12 - 35*a**3/3 + 2*a**2 - 4*a - 41. Find b, given that i(b) = 0.
2/33, 2
Let c be 75/102 - 256/1088. Let q(g) be the second derivative of 3/80*g**5 + 1/24*g**4 + 0 + g**2 - 30*g - 1/120*g**6 - c*g**3. Factor q(j).
-(j - 2)**2*(j - 1)*(j + 2)/4
Let p(m) be the third derivative of m**8/392 + 3*m**7/245 - m**6/35 - m**2 - 411. Suppose p(b) = 0. Calculate b.
-4, 0, 1
Let d = 207/278 - 49319/30580. Let z = -3/44 - d. Suppose 4/5*o**5 + 16/5*o**2 + 0 + 16/5*o**4 + z*o + 24/5*o**3 = 0. What is o?
-1, 0
Let v(m) = -1 - 2438*m**2 - 8 + 2449*m**2. Let c(n) = -n**2 + 1. Let i be 6/(-9)*1*3. Let f(d) = i*v(d) - 18*c(d). Factor f(p).
-4*p**2
What is x in 440 - 3*x**3 + 159*x**2 + 76*x - 1412 - 164*x + 268*x = 0?
-3, 2, 54
Let y(v) be the third derivative of -v**7/210 + 5*v**5/6 - 625*v**3/6 - 158*v**2 - 2. Factor y(s).
-(s - 5)**2*(s + 5)**2
Let s(w) be the second derivative of 0*w**2 - 251*w + 4/3*w**4 + 0 + 1/3*w**6 - 7/5*w**5 + 0*w**3. Solve s(a) = 0.
0, 4/5, 2
Let l(d) = 4*d**2 + 1974*d - 324786. Let g(y) = y**2 + 658*y - 108259. Let k(h) = 7*g(h) - 2*l(h). Determine v so that k(v) = 0.
329
Let l(v) be the third derivative of -v**6/120 - v**5/5 + 13*v**4/24 + v**3/3 - 11*v**2. Let m be l(-13). Factor -s**m - 131 + 131 - 4*s.
-s*(s + 4)
Let j be (0/(-18))/(9 + -16). Let t(x) be the third derivative of j*x - 1/245*x**7 - 1/140*x**5 + 0*x**3 + 0*x**4 + 3/280*x**6 - 22*x**2 + 0. Factor t(q).
-3*q**2*(q - 1)*(2*q - 1)/7
Let x(p) = -p**2 - 4*p. Let y be x(-2). Factor -41*o**3 + 15*o**3 - 3*o**y + 15*o**3 - 6*o**2.
-o**2*(o + 3)*(3*o + 2)
Let a(w) be the first derivative of 7/4*w**3 - 3/16*w**4 + 27/4*w + 51/8*w**2 - 111. Let a(x) = 0. What is x?
-1, 9
Let o(s) = -39*s**2 + 87 - 37*s**2 + 209*s - 79*s**2 + 56*s - 2. Let u = -79 + 164. Let z(h) = -11*h**2 + 19*h + 6. Let a(g) = u*z(g) - 6*o(g). Factor a(t).
-5*t*(t - 5)
Let z(i) be the third derivative of i**5/30 + 10*i**4/3 - 43*i**3 + 3406*i**2. Suppose z(b) = 0. What is b?
-43, 3
Factor 0*g - 112/5*g**2 - 2/5*g**4 - 36/5*g**3 + 0.
-2*g**2*(g + 4)*(g + 14)/5
Let q(d) = -d - 5. Let t be q(-8). Suppose 4*f + 20 = 0, 0 = -0*o + t*o + f - 1. Find c such that -10 + 184*c**2 - 180*c**2 + 4*c + o = 0.
-2, 1
Let z = -1/8761 + 26363/700880. Let w(n) be the second derivative of -1/8*n**4 + 0 - 4*n - 7/8*n**3 - 3/2*n**2 + z*n**5. Let w(l) = 0. What is l?
-1, 4
Let x(i) be the second derivative of -3*i**5/20 - 29*i**4/4 - 55*i**3/2 - 81*i**2/2 + 3*i + 42. Factor x(w).
-3*(w + 1)**2*(w + 27)
Suppose 21*i - 2408 = 13*i. Factor i*o**3 + 12*o**2 - 4*o - 8 - 144*o**3 - 153*o**3 - 4*o**4.
-4*(o - 2)*(o - 1)*(o + 1)**2
Let i(h) be the third derivative of -h**7/2520 + 11*h**6/1080 + 79*h**3/6 + 26*h**2. Let f(x) be the first derivative of i(x). Determine u so that f(u) = 0.
0, 11
Let x(v) = -v**2 + 124*v - 3744. Let u be x(72). Let o(p) be the third derivative of -1 + 0*p**3 - 1/360*p**6 - 4*p**2 + 1/45*p**5 + 0*p**4 + u*p. Factor o(w).
-w**2*(w - 4)/3
Let q = -20 - -34. Let p be -8*7/(-10) - (-108)/(-180). Factor -p + 15*a - 9*a**2 + q*a**2 - 15*a.
5*(a - 1)*(a + 1)
Suppose s + 4*v - 374 + 358 = 0, 5*s + 8 = 2*v. Let f(b) be the first derivative of -1/2*b**6 + 0*b**3 + s*b + 6/5*b**5 - 3/4*b**4 + 0*b**2 + 14. Factor f(y).
-3*y**3*(y - 1)**2
Let z(t) be the first derivative of -2*t**6 + 68*t**5/5 - 27*t**4 + 28*t**3/3 + 12*t**2 - 1127. Determine r so that z(r) = 0.
-1/3, 0, 1, 2, 3
Suppose -2*q + 3*x - 8 = 0, -q + 23 = -589*x + 592*x. Solve -25*g - 125/3 - q*g**2 - 1/3*g**3 = 0 for g.
-5
Let a be ((-704)/60)/(-8)*(-87)/(-58). Factor -1/5*n**2 - a*n - 2.
-(n + 1)*(n + 10)/5
Let t(x) = -162*x**3 - x**2 - 4*x + 5. Let z be t(-3). Let 19*s**3 + 19*s**4 - 5*s - 2 + 0*s**4 + 3*s**2 - z*s**5 + 4388*s**5 = 0. Calculate s.
-1, -2/3, 1/2
Let o(v) be the third derivative of 15*v + v**2 + 0 + 27/8*v**4 + 0*v**3 + 1/20*v**5. Factor o(f).
3*f*(f + 27)
Find l, given that 16/3*l**4 + 0 + 10/3*l - 2*l**5 + 20*l**3 + 16*l**2 = 0.
-1, -1/3, 0, 5
Let x(h) be the first derivative of h**6/330 - 59*h**5/220 + 124*h + 188. Let f(l) be the first derivative of x(l). Factor f(y).
y**3*(y - 59)/11
Let g = -838387 - -3353565/4. Factor 19/2 + g*k - 1/4*k**2.
-(k - 19)*(k + 2)/4
Let u be (6 + 2)*(-7)/(-280). Let c(z) be the first derivative of 6/5*z**2 + 12/5*z + u*z**3 - 9. Determine g so that c(g) = 0.
-2
Let p(h) = 62*h**3 - 2*h**2 + 10. Let x be p(3). Let a be 2/(-2) - (x/(-56))/17. Factor 9/4*n + a*n**3 - 3/4 - 9/4*n**2.
3*(n - 1)**3/4
Suppose 21032*h - 21062*h = 0. Factor h*b**3 + 1/4*b**4 - 3/4 - 3/2*b**2 - 2*b.
(b - 3)*(b + 1)**3/4
Let r be 36408/(-40848) + (-6)/(-4). Determine x, given that -2/23*x**5 - 36/23*x**3 - 16/23*x - 40/23*x**2 + 0 - r*x**4 = 0.
-2, -1, 0
Let b(m) be the first derivative of -1/3*m**2 - 1/18*m**3 - 8 + 5/6*m. Solve b(u) = 0 for u.
-5, 1
Let c be (32/48)/((-3)/(-18)). Let -3*i**3 + 9*i**3 + 2982*i**4 - 2991*i**c = 0. What is i?
0, 2/3
Suppose -1101*n - 74*n = -3525. Suppose 5/8*c**n - c**2 + 1/4 + 1/8*c = 0. What is c?
-2/5, 1
Let i(x) = -1. Let j(z) be the third derivative of -z**5/60 + 3*z**4/4 + 7*z**3/3 + 167*z**2. Let v(h) = -5*i(h