(g). Factor p(d).
d*(d + 2)**2*(4*d - 1)
Let n(c) be the third derivative of 0*c - 21*c**2 + 0*c**3 + 2/105*c**7 + 0 + 1/3*c**4 - 1/5*c**5 + 0*c**6. Solve n(f) = 0 for f.
-2, 0, 1
Suppose -2*g = h - 13, -5*g - 5*h = -44 + 19. Suppose -2*c**4 + 8/3 + g*c + 6*c**2 - 4/3*c**3 = 0. What is c?
-1, -2/3, 2
Let f(i) be the first derivative of -578*i**6/3 - 5763*i**5/5 + 137*i**4/4 + 88*i**3 + 10*i**2 + 6157. Find v such that f(v) = 0.
-5, -2/17, 0, 1/4
Let c(n) be the second derivative of n**7/63 - 17*n**6/180 - n**5/6 + 11*n**4/36 + 4*n**3/9 - 5*n**2/12 + 1519*n + 2. Let c(a) = 0. Calculate a.
-1, 1/4, 1, 5
Let y be 25/4 - (-1071)/2142. Find t, given that 3 + 15*t + 21/4*t**2 - y*t**3 = 0.
-1, -2/9, 2
Suppose -188/3 - 2/3*p**2 - 190/3*p = 0. Calculate p.
-94, -1
Suppose 7/5*f**4 + 26*f**3 + 387/5*f**2 + 0 + 36*f = 0. What is f?
-15, -3, -4/7, 0
Suppose -117/5*m + 594/5 + 3/5*m**2 = 0. What is m?
6, 33
Let q(s) be the second derivative of s**7/336 + 5*s**6/8 - 457*s**5/160 + 51*s**4/16 + 14199*s. Solve q(y) = 0 for y.
-153, 0, 1, 2
Let v(q) be the first derivative of 9/16*q**4 + 0*q + 67 + 1/24*q**3 + 0*q**2 - 5/4*q**6 + 41/40*q**5. Solve v(h) = 0.
-1/4, -1/15, 0, 1
Suppose -4*p = -12*p + 32. Factor 549*u**4 - p*u - 5*u**3 - 544*u**4 + 4*u - 10*u**2.
5*u**2*(u - 2)*(u + 1)
Suppose -40*h = -31*h - 720. Factor -76 + 18*p**2 - h*p - 12*p**2 - 10*p**2.
-4*(p + 1)*(p + 19)
Factor 3*m**2 - 27*m**2 + 97*m**2 + 17*m**2 - 16*m - 8 - 66*m.
2*(m - 1)*(45*m + 4)
Let f(w) = -67*w**3 + 60*w - 2*w**3 - 225*w - 195*w**2 - 45 - 13*w**3. Let u(d) = 27*d**3 + 65*d**2 + 55*d + 15. Let k(l) = -2*f(l) - 7*u(l). Factor k(o).
-5*(o + 1)**2*(5*o + 3)
Let b(t) be the first derivative of -t**5/25 - 41*t**4/10 - 32*t**3/3 - 361. Factor b(o).
-o**2*(o + 2)*(o + 80)/5
Let x(b) be the second derivative of -61/3*b**3 - 16*b - 3721/2*b**2 - 1/12*b**4 - 1. Factor x(t).
-(t + 61)**2
Factor -184*w**3 - 78*w**4 + 48*w**4 + 34*w**4 + 2093*w - 10101*w + 2112*w**2 + 6076.
4*(w - 31)*(w - 7)**2*(w - 1)
Let m(b) = 3*b**2 + 83*b - 12. Let d be m(-28). Factor -2*o**3 + 28*o**2 - 32*o**2 + d*o**2 - o**3.
-3*o**2*(o - 4)
Suppose -2*l = -3*d - 0*l + 34, -d = -4*l - 28. Suppose d*u - 21 = 5*u. What is o in o + 43*o**3 - u*o - 15*o**2 + 3*o**4 + 3*o**5 - 52*o**3 = 0?
-1, 0, 2
Let v(n) = 5*n**2 - 7*n - 1. Let p be v(3). Find j such that 5 + 8*j**3 - p*j + 32*j + 15 - 14*j**2 - 23*j = 0.
-5/4, 1, 2
Suppose -2260*s + 2252*s = 0. Suppose s = 1034*m - 1050*m + 48. Determine p so that 8*p**m - 32/3*p**4 - 4/3*p + 0*p**2 + 4*p**5 + 0 = 0.
-1/3, 0, 1
Let b(j) be the first derivative of 5 + 1/84*j**4 - 22*j + 3/14*j**3 + 0*j**2. Let i(x) be the first derivative of b(x). Factor i(t).
t*(t + 9)/7
Let i(f) = -12*f**2 - 1394*f + 7380. Let h(w) = -4*w**2 - 464*w + 2460. Let s(k) = -11*h(k) + 4*i(k). Factor s(v).
-4*(v - 5)*(v + 123)
Let c = -195 + 201. Let f(d) = 48*d**4 + 293*d**3 - 89*d**2 + 17. Let b(t) = 16*t**4 + 98*t**3 - 30*t**2 + 6. Let z(s) = c*f(s) - 17*b(s). Solve z(o) = 0.
-6, 0, 1/4
Let m be (-68)/(-221)*(-273)/(-42). Factor 5/3*g**m - 35/3*g + 50/3.
5*(g - 5)*(g - 2)/3
Suppose 6*o - 13 = 3*o - 2*k, 5*k = -10*o + 45. Suppose -4*f = l - o - 4, l - 3 = 2*f. What is r in -3/2*r - 1/2*r**2 - f = 0?
-2, -1
Let 418*l + 208*l**2 - 250 - 167*l - 209*l**2 = 0. Calculate l.
1, 250
Let y = -234921/2 - -117465. Factor 6*v - y - 3/2*v**2.
-3*(v - 3)*(v - 1)/2
Let z(i) = -5*i - 28. Let r be z(-7). Let g(u) be the first derivative of -8*u**3 - 1 - r*u**4 - 23 + 6*u**4. Find h such that g(h) = 0.
-6, 0
Let m(v) = 64*v**3 - 414*v**2 + 780*v + 114. Let t(h) = 5*h**3 - 32*h**2 + 60*h + 9. Let f(k) = 6*m(k) - 76*t(k). Factor f(g).
4*g*(g - 10)*(g - 3)
Let t = 340 - 299. Factor o**2 - 5*o + o**2 + t + o**2 + 7 - 19*o.
3*(o - 4)**2
Let n(f) = f**3 - 15*f**2 + 18*f - 50. Let m be n(14). Suppose -2*p = -3*k, -2*p - k - 4 = -m*k. Factor 0*i**4 + 0 + 0*i**2 + 0*i - 25/3*i**5 + 4/3*i**p.
-i**3*(5*i - 2)*(5*i + 2)/3
Let b(o) be the third derivative of -o**6/30 - 2*o**5/5 + 5*o**4/2 - 16*o**3/3 - 4*o**2 - 118. Suppose b(n) = 0. What is n?
-8, 1
Let x(i) be the second derivative of 0 + 1/54*i**4 + 13*i + 4/27*i**3 + 4/9*i**2. Let x(v) = 0. Calculate v.
-2
Suppose 5*j + 2*n = 4 - 2, -1 = -n. Suppose -4*s + 3*m + 9 = -s, j = -2*s - 4*m. Let z**s + 8 - 6*z**2 + 8*z + 3*z**2 - 2*z**3 = 0. Calculate z.
-2, -1, 2
Factor 20*v - 1023429*v**3 + 1023449*v**3 - 1092*v**2 + 628*v.
4*v*(v - 54)*(5*v - 3)
Factor -89*h**2 + 159*h**2 + 7*h**3 - 79*h**2 - h**3 + 0*h**4 + 3*h**4.
3*h**2*(h - 1)*(h + 3)
Let k(b) = 40*b**4 + 56*b**3 - 392*b**2 + 7*b - 7. Let o(c) = -17*c**4 - 28*c**3 + 196*c**2 - 3*c + 3. Let w(z) = -3*k(z) - 7*o(z). Factor w(f).
-f**2*(f - 14)**2
Suppose -3*b + 9 = 0, b = -2*k - 1 + 8. Factor 2*j - 2*j + 16*j + 24 - 2*j**2 + 5*j**2 - j**k.
2*(j + 2)*(j + 6)
Let t(n) = n**4 - n**3 - 2*n**2 - n - 1. Let u(l) = 2*l**4 - 6 - 11*l - 8*l**4 - 8*l**3 - 7*l + 9*l**4 + 12*l - 11*l**2. Let b(h) = 6*t(h) - u(h). Factor b(f).
f**2*(f + 1)*(3*f - 1)
Let b = 659 + -8559/13. Let k = 470/13 - 36. Suppose -b*f + k*f**4 + 2/13 - 8/13*f**3 + 12/13*f**2 = 0. What is f?
1
Determine w, given that 2/3*w**3 - 1/3*w**4 + 27 + 42*w + 16*w**2 = 0.
-3, -1, 9
Factor 34/11*o + 4/11*o**3 + 0 - 70/11*o**2.
2*o*(o - 17)*(2*o - 1)/11
Let u(v) be the first derivative of v**4/42 + v**3/3 + 6*v**2/7 + 38*v - 75. Let z(a) be the first derivative of u(a). Solve z(q) = 0.
-6, -1
Let b = 281 - 148. Suppose -10*r + b = 103. Suppose 0*u**r + 4*u**2 + 0 - 4/3*u**4 + 8/3*u = 0. Calculate u.
-1, 0, 2
Let o(l) = -l**3 - 18*l**2 - 35*l + 24. Let v be o(-16). Let a be v/(-48) + 14/4. What is j in -15/4*j - 3/4*j**a - 9/2 = 0?
-3, -2
Let a(i) = i**3 - 6*i**2 + 5*i + 2. Let g be a(5). Factor -5*h**g + 49*h - 50*h - 24*h.
-5*h*(h + 5)
Let v(p) = 284*p**2 - 12*p + 40. Let s(k) = 12*k**2 + 1. Let n(a) = 24*s(a) - v(a). Find q, given that n(q) = 0.
-4, 1
Let h be (207/84)/((-105)/910). Let z = h - -153/7. Factor 18 + 6*y + z*y**2.
(y + 6)**2/2
Suppose 0 = 23*k + 1079 - 609 - 562. Factor 3/7*q**3 - 4/7*q**2 - 4/7*q + 0 + 1/7*q**5 + 4/7*q**k.
q*(q - 1)*(q + 1)*(q + 2)**2/7
Let t be -82*4/(-48) + (-63)/105*10. Factor -25/6*u + 5/2 + t*u**3 + 5/6*u**2.
5*(u - 1)**2*(u + 3)/6
Factor -2/11*g**2 + 8960/11*g - 10035200/11.
-2*(g - 2240)**2/11
Suppose o = -58 + 53. Let d be -2*o/(-20)*-10. Find m such that -3*m**5 - 35*m**3 + 2 + 18*m**2 - 10*m - 6*m**d - 20*m**4 + 31*m**3 + 23*m = 0.
-1, -2/9, 1
Let h(q) = 8*q**2 + 219*q - 1020. Let o(u) = -3*u**2 - 73*u + 340. Let p(a) = 4*h(a) + 11*o(a). Suppose p(d) = 0. Calculate d.
5, 68
Let c(x) be the third derivative of 0*x + 1/30*x**6 - 1/12*x**4 + 2/3*x**3 - 2/15*x**5 + 23*x**2 + 2/105*x**7 - 1/168*x**8 + 0. Solve c(p) = 0.
-1, 1, 2
Let n = 37 + -32. Suppose 0 = -f - 5*t - 4, -3*t - 76 = -n*f - 4*t. Factor 3*j - f - 11*j + 6*j - 4*j**2 - 14*j.
-4*(j + 2)**2
Suppose -81 + 72 = -3*x. Factor 131 - 113 - 11*t**3 + 14*t**x - 33*t + 12*t**2.
3*(t - 1)**2*(t + 6)
Find o, given that -7/3*o + 2 + 8/3*o**3 - 1/3*o**5 - 2*o**2 + 0*o**4 = 0.
-3, -1, 1, 2
Let j(z) be the first derivative of -14/5*z**2 + 2/15*z**3 - 57 + 26/5*z. Determine u so that j(u) = 0.
1, 13
Let y be ((1 - 6)/(-20))/(90/20). Let m(a) be the third derivative of -y*a**3 + 0*a**4 + 0 + 1/180*a**5 + 0*a - 19*a**2. What is u in m(u) = 0?
-1, 1
Let d(x) = -15*x**5 + 109*x**4 + 30*x**3 - 200*x**2 - 21*x + 127. Let a(u) = u**4 - 5*u**2 + u - 2. Let i(b) = 6*a(b) + d(b). What is k in i(k) = 0?
-1, 1, 23/3
Let n(o) = 2*o**2 - 3418*o + 3302. Let g(c) = -5*c**2 + 6837*c - 6585. Let a(z) = 6*g(z) + 13*n(z). Let a(i) = 0. What is i?
-854, 1
Let r(p) be the third derivative of p**5/300 + 13*p**4/30 - 11*p**3/2 - 82*p**2 - 2*p. Solve r(v) = 0.
-55, 3
Suppose 120 = -8459*p + 8464*p. Let r be -1 + 8 + 8/(p/(-6)). Factor -2/3*k**r + 0 - 10/3*k**2 + 6*k**3 + 0*k - 2*k**4.
-2*k**2*(k - 1)**2*(k + 5)/3
Let p = -115735 + 115735. Factor p*h**2 - h - 2/3 + 1/3*h**3.
(h - 2)*(h + 1)**2/3
Suppose -41*h**2 - 6*h**4 - 489*h**2 - 311*h**3 + 177*h**3 - 72*h**2 - 150*h - 324*h**3 = 0. What is h?
-75, -1, -1/3, 0
Let n(b) be the first derivative of -b**6/15 - 34*b**5/25 - 21*b**4/2 - 566*b**3/15 - 314*b**2/5 - 48*b + 14226. Let n(l) = 0. Calculate l.
-6, -5, -4, -1
Let w(h) be the second derivative of h**7/126 - h**6/