he first derivative of j(d). Solve y(f) = 0 for f.
-1, -1/3, 1
Let q be (39/12)/(-13) - (-98)/8. Factor 22*d + 0*d - 30 - 3*d**2 + q*d - d.
-3*(d - 10)*(d - 1)
Let b(t) be the first derivative of t**9/7560 - t**7/1050 + t**5/300 + 37*t**3/3 - 98. Let u(q) be the third derivative of b(q). Factor u(a).
2*a*(a - 1)**2*(a + 1)**2/5
Let c(f) = 38*f**3 + 300*f**2 + 1256*f. Let p(z) = -33*z**3 - 301*z**2 - 1257*z. Let u(l) = -7*c(l) - 8*p(l). Determine g, given that u(g) = 0.
-4, 0, 158
Factor 0*j**2 - 393*j + 0*j**2 + 4*j**2 - j**2 + 420*j.
3*j*(j + 9)
Let h = 4594/6615 + -101/147. Let z(p) be the second derivative of 0 + 0*p**2 + h*p**6 + 0*p**3 - 1/45*p**5 + 37*p - 1/18*p**4. Factor z(r).
2*r**2*(r - 3)*(r + 1)/9
Let b be (-5)/(20/16) + 2/20*41. Let z(t) be the second derivative of -1/3*t**3 + 0*t**2 + 0 + 0*t**4 + b*t**5 + 18*t. Factor z(a).
2*a*(a - 1)*(a + 1)
Let 74/5*j + 2/5*j**2 - 156/5 = 0. What is j?
-39, 2
Let t(g) be the first derivative of 0*g + 2*g**2 - 2*g**3 - 14/5*g**5 + 50 - 6*g**4. Factor t(p).
-2*p*(p + 1)**2*(7*p - 2)
Let w(z) = -z**3 - 9*z**2 - z + 9. Let k(b) = -b**3 + b**2 + b - 9. Let q(s) = -2*k(s) - 2*w(s). Find d such that q(d) = 0.
-4, 0
Let l = 16319 - 16314. Let a(d) be the second derivative of 0 + 7*d + 4*d**3 - 1/4*d**4 - 3/4*d**l - 6*d**2 + 1/10*d**6 + 1/14*d**7. Factor a(t).
3*(t - 1)**3*(t + 2)**2
Let t(s) = 176*s + 1410. Let l be t(-8). Let g(m) be the first derivative of -4/5*m**5 + 3 - 2*m - 6*m**3 - 7/2*m**4 - 5*m**l. Factor g(n).
-2*(n + 1)**3*(2*n + 1)
Factor 2162/21*x**3 + 722/21*x**4 - 4/21 + 718/7*x**2 + 710/21*x.
2*(x + 1)**3*(361*x - 2)/21
Let o(l) be the third derivative of 0*l - 1/24*l**6 - 1/3*l**5 + 5/672*l**8 + 62*l**2 + 0 - 5/6*l**3 - 35/48*l**4 + 1/42*l**7. Factor o(y).
5*(y - 2)*(y + 1)**4/2
Suppose -304 - 4*i**3 + 282*i + 2*i**3 + 5*i**3 + i**3 - 164*i**2 + 182*i = 0. What is i?
1, 2, 38
Let o(q) be the second derivative of q**4/96 + 37*q**3/8 + 12321*q**2/16 - 12978*q. Factor o(j).
(j + 111)**2/8
Let n be (-43)/(-120) + 10 + -10 + 39/(-117). Let f(l) be the second derivative of -1/16*l**4 + n*l**5 + 14*l + 1/24*l**3 + 0*l**2 + 0. Solve f(k) = 0.
0, 1/2, 1
Let j(b) = -b**2 - 2. Let y(p) = 27*p**2 - 261*p + 558. Let n(s) = 24*j(s) + y(s). Factor n(i).
3*(i - 85)*(i - 2)
Let p(b) = -6*b**2 - 121*b - 26. Let g be p(-20). Let f be g*(-9)/486*6. Factor -2/3*s**2 - f*s**4 + 0*s + 0 + 4/3*s**3.
-2*s**2*(s - 1)**2/3
Let n(a) = -3*a - 39. Let j be n(-5). Let g be (-9)/(-1) + j/8. Find o, given that -8/3 + 28/3*o + 7*o**5 - 20/3*o**4 + g*o**2 - 59/3*o**3 = 0.
-1, 2/7, 2/3, 2
Let d(p) = 16*p**3 + 296*p**2 - 616*p + 316. Let g(y) = -3*y**3 + 2*y**2 - y - 1. Let r(q) = d(q) + 4*g(q). Find m, given that r(m) = 0.
-78, 1
Let b = 487/3944 - -3/1972. Let f(k) be the first derivative of 9/2*k**2 + b*k**4 - 2*k - 11/8*k**3 - 19. Solve f(q) = 0 for q.
1/4, 4
Let f(s) be the second derivative of 0*s**2 - 201*s + 3/140*s**5 + 5/28*s**4 + 0 - 3/7*s**3. Suppose f(h) = 0. Calculate h.
-6, 0, 1
Let c be (1912/3 + 2)/((-13)/(-39)). Let p be -9 + c/210 + 4/(-30). Factor 4/7*g**3 - 4/7*g + p + 0*g**2.
4*g*(g - 1)*(g + 1)/7
Let r(d) be the second derivative of 6*d**2 - 1/6*d**3 + 0 + 100*d - 1/24*d**4. Factor r(n).
-(n - 4)*(n + 6)/2
Let g(l) be the second derivative of -l**4/42 + 208*l**3/7 - 97344*l**2/7 + 599*l. Find d, given that g(d) = 0.
312
Let m(w) = -2*w - 7. Let l be m(-5). Let r be (-1173)/(-136)*((-96)/90)/(-4). Let -8/5*x**2 - 7/5*x**4 + r*x**l + 3/10*x**5 + 0 + 2/5*x = 0. Calculate x.
0, 2/3, 1, 2
Let i(g) be the third derivative of -19*g**2 + 29/78*g**4 + 1/390*g**5 + 0*g - 1 + 841/39*g**3. Suppose i(n) = 0. What is n?
-29
Suppose -60*j - 8 = -73*j + 18. Let u(h) be the third derivative of 13 - 1/1140*h**6 + j*h**2 + 2/19*h**3 + 1/228*h**4 - 1/95*h**5 + 0*h. Solve u(v) = 0 for v.
-6, -1, 1
Solve -1392/11*t**3 - 96/11*t**4 + 8820/11 - 5524/11*t**2 - 2/11*t**5 - 1806/11*t = 0 for t.
-21, -5, -2, 1
Suppose -341 - 181 = -9*i. Suppose 26*a - i - 46 = 0. Factor 0*u**2 + 2/5*u**3 + 1/5*u**a - 1/5*u**5 + 0*u + 0.
-u**3*(u - 2)*(u + 1)/5
Let c be (-358)/(-5) - (-9)/(-15). Let p = 76 - c. Solve 59*s**3 + 20*s**p + s**2 - 6*s**2 - 79*s**3 + 5*s**4 = 0 for s.
-1, -1/4, 0, 1
Suppose 94/21*o**2 - 44/3*o + 2/21*o**3 - 400/21 = 0. What is o?
-50, -1, 4
Factor 690*o - 8/3*o**2 + 518/3.
-2*(o - 259)*(4*o + 1)/3
Let g = 14 - -155. Suppose 2*o = 2, 5*o + g = -0*k + 2*k. Factor 25*m**3 + 54 - 5*m**4 - 14 - 107*m + k*m - 30*m**2.
-5*(m - 2)**3*(m + 1)
Suppose -2240/9*l - 56/9*l**3 + 3200/9 + 184/3*l**2 + 2/9*l**4 = 0. Calculate l.
4, 10
Let b = -25582 + 131851/5. Let p = b - 788. Factor -z + p*z**3 - 2/5 - 3/5*z**2 + 1/5*z**4.
(z - 2)*(z + 1)**3/5
Let m(p) = -26*p**2 + 12 - 4*p**2 + 10*p - 4 + 12. Let i(z) = -10*z**2 + 3*z + 7. Let h(l) = -6*l - 16. Let j be h(-4). Let n(k) = j*i(k) - 3*m(k). Factor n(c).
2*(c - 1)*(5*c + 2)
Let o(a) be the second derivative of 41/2*a**2 + 0 - 8*a + 37/6*a**3 + 1/12*a**4. Let n(x) = 18*x + 21. Let h(l) = 5*n(l) - 3*o(l). Factor h(t).
-3*(t + 1)*(t + 6)
Solve 124/9*a + 14 - 2/9*a**2 = 0 for a.
-1, 63
Let i(m) be the first derivative of -m**5/100 + m**4/15 - 2*m**3/15 - m**2 + 69*m + 62. Let v(y) be the second derivative of i(y). Factor v(d).
-(d - 2)*(3*d - 2)/5
Suppose 4*y = 2*d, -3*y = -46*d + 48*d. Let h(l) be the second derivative of y - 8*l + 0*l**4 + 0*l**3 + 1/252*l**7 - 1/120*l**5 + 0*l**6 + 0*l**2. Factor h(q).
q**3*(q - 1)*(q + 1)/6
Let j(l) = 2*l**2 + 18*l - 15. Let v = 62 + -67. Let p(q) = -6*q**2 - 54*q + 44. Let m(n) = v*p(n) - 16*j(n). Factor m(g).
-2*(g - 1)*(g + 10)
Let b(o) = 102*o - 205. Let z be b(7). Let u = z - 507. Factor -4/3*f + 1/3*f**u + 1.
(f - 3)*(f - 1)/3
Let a(i) be the second derivative of 10*i**6/3 - 16*i**5 - 131*i**4/3 + 148*i**3 - 144*i**2 - 2*i - 104. Find v, given that a(v) = 0.
-2, 3/5, 4
Let a(z) = -12*z**2 - 264*z - 3. Let u(i) = 9*i**2 + 264*i + 2. Let x(d) = -2*a(d) - 3*u(d). Factor x(k).
-3*k*(k + 88)
Let p(b) be the second derivative of 3*b**5/50 - 7*b**4/3 + 293*b**3/15 - 18*b**2 + 14*b. Let p(t) = 0. Calculate t.
1/3, 5, 18
Let o = -705 + 699. Let d be 2*((9 - 12) + (-2 - o)). Factor -2/11*h**d + 0*h + 0.
-2*h**2/11
Let v(p) = -8*p**2 - 56*p - 48. Let i(s) = -s**2 - s - 1. Let o(f) = -12*f**2 - 36*f - 32. Let l(x) = 8*i(x) - o(x). Let m(u) = 7*l(u) + 3*v(u). Factor m(j).
4*(j + 1)*(j + 6)
Let l(j) be the second derivative of -2*j**6/15 + 472*j**5/5 - 18722*j**4 + 221840*j**3/3 - 110450*j**2 + 18*j - 4. Solve l(y) = 0.
1, 235
Find r, given that -444/5 - 2/5*r**2 - 446/5*r = 0.
-222, -1
Suppose -58/3 - 4*t**2 - 95/3*t = 0. Calculate t.
-29/4, -2/3
Suppose -4*y = 4*k + 152, 3*y + 5*k + 54 = -60. Let c be (-8)/(-9) + y/(-171). Find b, given that 14/9*b**3 - 8/9 + 2/9*b**5 - 2/9*b**2 - 16/9*b + c*b**4 = 0.
-2, -1, 1
Let q be (-5)/(-1) + (2/(-4))/((-18)/(-176)). Let b(r) be the second derivative of -1/90*r**6 + q*r**3 + 0*r**2 - 5/36*r**4 + 0 - 13*r + 1/15*r**5. Factor b(w).
-w*(w - 2)*(w - 1)**2/3
Let z(y) = 3*y**4 + 16*y**3 + 32*y**2 - 31*y + 5. Let k(r) = 5*r**4 + 34*r**3 + 58*r**2 - 61*r + 9. Let t(j) = 5*k(j) - 9*z(j). Factor t(g).
-2*g*(g - 13)*(g - 1)*(g + 1)
Let u = 96861 + -96861. Factor 44/7*k + 2/7*k**2 + u.
2*k*(k + 22)/7
Let l(k) be the first derivative of -2*k**4 - 32*k**3 + 0*k - 27 - 1/20*k**5 + 3/2*k**2. Let t(a) be the second derivative of l(a). Factor t(m).
-3*(m + 8)**2
Let z be 31716/1133847 - 2/(-13). Factor -z*k**2 + 0 + 2/11*k**4 + 0*k**3 + 0*k.
2*k**2*(k - 1)*(k + 1)/11
Let z(u) be the second derivative of -7*u**6/45 - 103*u**5/30 - 89*u**4/18 + 103*u**3/9 + 32*u**2 + 323*u + 5. Suppose z(y) = 0. What is y?
-96/7, -1, 1
Let f(g) be the second derivative of g**4/16 - 69*g**3/4 - 105*g**2 + 3*g + 42. Factor f(v).
3*(v - 140)*(v + 2)/4
Suppose 4*c = 4*n - 40, 1394*n - 3*c = 1393*n + 26. Factor -8/17*v - 2/17*v**4 + 0 + 0*v**n + 6/17*v**3.
-2*v*(v - 2)**2*(v + 1)/17
Let q(t) be the first derivative of t**8/1344 - t**7/60 - 11*t**2/2 - 2*t - 168. Let m(x) be the second derivative of q(x). Determine k, given that m(k) = 0.
0, 14
Let k(q) = 7*q + 33. Let x be k(-5). Let f(r) = 12*r**2 - 621*r + 8757. Let i(z) = -3*z**2 + 156*z - 2189. Let o(n) = x*f(n) - 9*i(n). Factor o(m).
3*(m - 27)**2
Let f be 104/(-26)*(2 + (-2780)/16). Let b = f -