 + 194/13*a**2 - 2/13*a**3 + 0 = 0. What is a?
0, 97
Let g(u) be the third derivative of -33*u**2 - 2*u + 0 + 1/40*u**4 - 1/10*u**3 - 1/200*u**6 + 1/100*u**5. Factor g(x).
-3*(x - 1)**2*(x + 1)/5
Let g(j) = 35*j + 160. Let q be g(-4). Let u(m) = -7*m + 144. Let i be u(q). Solve -4/7*c**3 - 22/7*c**2 + 24/7*c**i + 16/7*c**5 - 2/7 - 12/7*c = 0.
-1, -1/2, 1
Let t(u) = 94*u + 9214. Let p be t(-98). Factor 8/5*a**p + 2/5*a**3 - 6/5*a - 36/5.
2*(a - 2)*(a + 3)**2/5
Let v(t) be the third derivative of 3*t**9/2240 - t**8/3360 - 16*t**5/15 + 2*t**2 - 13*t. Let p(l) be the third derivative of v(l). Factor p(y).
3*y**2*(27*y - 2)
Let u(z) = z**3 - 5*z**2 + 6*z - 3. Let b be u(2). Let d be (-4)/b - (12 + -12)/4. Factor 3*c**3 + 0 + 11/3*c**4 + d*c**5 + 1/3*c**2 - 1/3*c.
c*(c + 1)**3*(4*c - 1)/3
Let p(f) be the second derivative of -f**7/63 + 29*f**6/45 - 37*f**5/5 + 70*f**4/9 + 392*f**3/9 - 7*f + 142. Solve p(s) = 0 for s.
-1, 0, 2, 14
Suppose 7 = -2*u - 5*w, 82*u - 83*u = 3*w + 5. Let t(a) be the second derivative of 0 + 1/3*a**3 + 0*a**2 - 7*a + 1/48*a**u. Factor t(h).
h*(h + 8)/4
Let o be -3 - -11 - (-21)/(-3). Let h(y) = -35*y**2 - 45*y - 80. Let u(q) = -2*q**2 - 2*q - 1. Let f(g) = o*h(g) - 20*u(g). Let f(t) = 0. What is t?
-3, 4
Let p(y) be the first derivative of y**6/6 - 31*y**5/5 + 33*y**4/2 + 500*y**3/3 + 68*y**2 - 672*y - 14076. Let p(t) = 0. What is t?
-2, 1, 6, 28
Find b, given that 14*b**3 + 3*b**4 - 179 + 52 - 113 - 144*b**2 + 336*b - 2*b**3 = 0.
-10, 2
Suppose -719 + 4778 = 41*c. Determine x, given that -24*x**2 - 33*x**3 - c*x + 59*x + 31*x**3 = 0.
-10, -2, 0
Let r = 414 + -380. What is z in -190*z**4 + 101*z**4 + 26*z**3 + r*z**2 - z + 5 + z**5 + 22*z + 98*z**4 = 0?
-5, -1
Let u(a) be the second derivative of -25*a**7/168 - a**6/12 + 429*a**5/80 - 37*a**4/24 - 232*a**3/3 + 192*a**2 - 2590*a. Let u(c) = 0. Calculate c.
-16/5, 1, 2, 3
Let o(n) be the first derivative of -4*n**3/3 - 648*n**2 - 1292*n + 392. Factor o(g).
-4*(g + 1)*(g + 323)
Let a(l) = l**3 + 2445*l**2 + 1982811*l + 537367791. Let j(p) = -p**3 - 2444*p**2 - 1982827*p - 537367792. Let o(r) = 5*a(r) + 6*j(r). Factor o(g).
-(g + 813)**3
Let p(d) be the first derivative of 24 + 1/15*d**4 - 1/75*d**6 + 0*d**3 - 35*d + 1/50*d**5 + 0*d**2. Let f(m) be the first derivative of p(m). Factor f(c).
-2*c**2*(c - 2)*(c + 1)/5
Let z be ((-13)/117)/((-11)/594). Let j(t) be the first derivative of -3/4*t**4 - 1 - 4*t**3 - z*t**2 + 0*t. Suppose j(q) = 0. Calculate q.
-2, 0
Let v(c) be the third derivative of -c**5/360 + 79*c**4/24 + 475*c**3/36 - 2960*c**2. Determine t, given that v(t) = 0.
-1, 475
Let m(d) be the third derivative of -d**7/105 - 94*d**6/15 - 20*d**2 + 212*d. Find i, given that m(i) = 0.
-376, 0
Let o(k) be the second derivative of -k**7/42 + 263*k**6/60 + 27*k**5/8 - 395*k**4/24 - 133*k**3/12 + 33*k**2 + 4439*k. Let o(z) = 0. What is z?
-1, 1/2, 1, 132
Let z be ((-10)/6)/(10/(-12)). Let s be (-3 + z)/(15/(-30)). Factor -s + 6 - 484*u + 480*u - 4*u**2 + 4*u**3.
4*(u - 1)**2*(u + 1)
Suppose 15*b - 10*b - 190 = 0. Factor -b*s + 18*s + 20*s - 8*s**3 - 4*s**4.
-4*s**3*(s + 2)
Let x(z) be the first derivative of 82 + 25/2*z**2 + 35/3*z**3 - 5/2*z**4 - 20*z. Let x(c) = 0. What is c?
-1, 1/2, 4
Suppose 4*n - v = 53, -79 = -5*n - 4*v + v. Suppose -2*q = -n + 4. Factor -45*f**3 - 180*f - q*f**4 - 7 - 16 - 47 - 10 - 140*f**2.
-5*(f + 1)*(f + 2)**2*(f + 4)
Let k(o) be the second derivative of o**4/30 + 2*o**3 - 216*o**2/5 - 1644*o - 2. Factor k(w).
2*(w - 6)*(w + 36)/5
Let p be (-375 - -368)*(1/(-2) - ((-1115)/210 + 5)). Solve 2/3*d**5 - 2/3*d**2 + p*d - 2*d**3 + 0 + 2/3*d**4 = 0.
-2, -1, 0, 1
Let p be (-6)/20 - 429/(-130). Solve -6943*n - 159014 - 258*n**2 + 18037*n + 3*n**3 - n**p = 0.
43
Let o(q) be the first derivative of -2*q**3/15 - 48*q**2/5 - 1134*q/5 + 3523. Factor o(t).
-2*(t + 21)*(t + 27)/5
Suppose -c = -5*t - 13, 85*c + 4*t = 80*c + 7. Factor 2/11*b**4 + 4/11*b + 0 - 2/11*b**2 - 4/11*b**c.
2*b*(b - 2)*(b - 1)*(b + 1)/11
Suppose -7*k = -19 + 5. Suppose 6*f + k = 14. Solve 50 - 6*h**f + 115*h + 2*h**2 - 21*h**2 = 0 for h.
-2/5, 5
Let r(x) = -2*x**4 - 8*x**3 + 34*x**2 - 12*x - 8. Let u(y) = 5*y**4 + 15*y**3 - 71*y**2 + 24*y + 18. Let i(l) = -9*r(l) - 4*u(l). Factor i(d).
-2*d*(d - 3)*(d - 2)*(d - 1)
Let b(o) be the second derivative of -3*o**5/20 + 273*o**4/4 - 136*o**3 - 284*o + 4. Factor b(m).
-3*m*(m - 272)*(m - 1)
Let b(g) be the second derivative of g**6/180 - 23*g**5/20 + 573*g**4/8 - 759*g**3 + 3267*g**2 + 3*g + 139. Solve b(h) = 0 for h.
3, 66
Factor -2/13*f + 2/13*f**3 + 198/13 - 198/13*f**2.
2*(f - 99)*(f - 1)*(f + 1)/13
Let m(g) be the first derivative of -g**4/20 - 19*g**3/5 - 72*g**2 + 540*g - 254. Let m(n) = 0. Calculate n.
-30, 3
Let g(z) be the third derivative of z**8/1008 - z**7/105 - z**6/360 + z**5/30 - 2*z**2 - 145*z. Determine v, given that g(v) = 0.
-1, 0, 1, 6
Suppose 46 = -96*j + 82 + 156. Let z(w) be the first derivative of -1/12*w**3 - 1/8*w**4 + 0*w + 0*w**j - 1/20*w**5 - 19. Factor z(k).
-k**2*(k + 1)**2/4
Let n be (-7161)/(-6479) + (-2)/(-76)*-4. Let -2*a**3 + n + 7/2*a - 5/2*a**2 = 0. What is a?
-2, -1/4, 1
Let o = -20942 + 20942. Determine m, given that o*m + 2/3*m**2 + 0 = 0.
0
Let b be (-303)/(-4) - 360/480. Determine m so that -b*m**2 + 34*m**2 - 5780 + 340*m + 36*m**2 = 0.
34
Let t be (((-1280)/(-48))/(-10))/(-20). Let j(k) be the first derivative of 16/5*k + t*k**3 - 26 + 6/5*k**2. Factor j(c).
2*(c + 2)*(c + 4)/5
Let b(m) be the third derivative of -227*m**2 + m**3 + 12*m**5 + 0*m + 39/8*m**4 + 56/5*m**6 + 0. Factor b(c).
3*(7*c + 2)*(8*c + 1)**2
Let p(j) = 20*j**2 - 26*j + 28. Let o(h) be the first derivative of 11*h**3/3 - 7*h**2 + 15*h - 278. Let g(r) = 11*o(r) - 6*p(r). Solve g(m) = 0 for m.
-3, 1
Factor -970183*b**2 + 2896576*b**2 + 2*b**4 + 1151860736 + 2231943*b**2 - 1156014080*b + 2784*b**3 - 7778*b**3.
2*(b - 832)**3*(b - 1)
Let z = 268 - 118. Suppose 56*u**2 - z + 54*u**2 - 105*u**2 - 65*u = 0. What is u?
-2, 15
Factor -2/13*j**5 + 0 + 242/13*j**2 - 246/13*j**3 + 86/13*j**4 - 80/13*j.
-2*j*(j - 40)*(j - 1)**3/13
Let a = 41701/18 - 13895/6. Factor a*u + 2/9*u**2 + 2/3.
2*(u + 1)*(u + 3)/9
Let c = 1836 + -1819. Let s(m) be the third derivative of 0 + 1/448*m**8 + 0*m**7 + 0*m**4 + 0*m**6 + c*m**2 + 0*m**5 + 0*m + 0*m**3. Factor s(n).
3*n**5/4
Suppose m = -5*f + 8*f - 40, -5*f + 5*m + 50 = 0. Suppose -33*g = -36*g + f. Factor 0*a**2 + a**3 + 1/2*a**4 - 1/2*a**g + 0*a + 0.
-a**3*(a - 2)*(a + 1)/2
Let u(h) = -11*h - 8. Let r be u(-5). Suppose -214 = -r*k - 73. Determine l so that -k*l + 1/3 - 1/3*l**2 + 3*l**3 = 0.
-1, 1/9, 1
Let f(q) = -4*q**5 - 20*q**3 + 8*q - 4. Let g(t) = 2*t**5 + t**4 - t**3 - 2*t + 1. Let z(i) = -f(i) - 4*g(i). Solve z(r) = 0 for r.
-3, 0, 2
Let v(d) = d**3 - 44*d**2 - 223*d + 1488. Let t be v(48). Factor 0*y + t - 2/9*y**5 + 10/9*y**4 - 14/9*y**3 + 2/3*y**2.
-2*y**2*(y - 3)*(y - 1)**2/9
Let h(f) be the second derivative of -13*f**4/66 + 476*f**3/11 + 20*f**2 - 137*f. Let h(c) = 0. Calculate c.
-2/13, 110
Suppose 4*t + 20 = 0, 4*t + 1344 = 21*w - 19*w. Let x be ((-10)/(-4))/(3/6). Factor -222*l**x + 60*l**2 - 440*l**3 + 213*l**4 - 5*l**5 + w*l**4 - 18*l**5.
-5*l**2*(l - 3)*(7*l - 2)**2
Let i(v) be the third derivative of -v**5/30 + 8*v**4 - 768*v**3 - 2*v**2 + 1033. Factor i(s).
-2*(s - 48)**2
Let t be (-21)/14*(-55)/15 + (-27)/162. Factor -t*m**4 + 50/3*m**3 - 76/3*m**2 - 16/3 + 2/3*m**5 + 56/3*m.
2*(m - 2)**3*(m - 1)**2/3
Let g = 19653/4270 + -19/610. Solve 0 - 1/7*y**2 + g*y = 0.
0, 32
Let h(i) = -1. Let z(m) = m**2 - 4. Let f(k) = 2*h(k) - z(k). Let y(g) = 9*g**2 + 12*g - 3. Let l(t) = -6*f(t) - y(t). Determine j so that l(j) = 0.
-3, -1
Let x(y) be the third derivative of -y**7/630 - y**6/108 - y**5/60 - 23*y**3/6 + 102*y**2. Let c(z) be the first derivative of x(z). Find l such that c(l) = 0.
-3/2, -1, 0
Let w(t) = -t**2 + 9*t + 9. Let v be w(-7). Let g = v + 117. Suppose 48*j - 4*j**4 + 5*j**3 + 19*j**3 - 12 - 38*j**2 - g*j**2 - 4 = 0. Calculate j.
1, 2
Suppose -322*o + 1648 = 90*o. Factor -8/7 - 30/7*g**2 + 26/7*g - 2/7*g**o + 2*g**3.
-2*(g - 4)*(g - 1)**3/7
Let t(u) be the first derivative of -8/3*u + 1/24*u**4 + 7/18*u**3 + 2/3*u**2 - 30. What is o in t(o) = 0?
-4, 1
Let f be (30/3)/(-2) + 15 + -5.