 + 696*j**5/65 - 5625*j**4/26 - 29812*j**3/39 - 11520*j**2/13 - 5184*j/13 + 90. Determine t, given that g(t) = 0.
-1, -2/5, 36
Let i = -40 + 46. Suppose -28*m + i*m + 66 = 0. Factor 2/3*v**m - 2*v**4 + 0*v + 0 + 4/9*v**2.
-2*v**2*(3*v - 2)*(3*v + 1)/9
Let c be (-5956)/(-4) + (0 - -3). Suppose -10*w + 508 = -c. Factor -25*k + 200 + 5*k**2 - w.
5*k*(k - 5)
Let h(j) = j**3 + 14*j**2 + 3*j + 12. Let y(a) = 4*a + 20. Let w be y(6). Let n(l) = 67*l**2 - 68*l**2 + 3 - 4. Let r(o) = w*n(o) + 4*h(o). Factor r(m).
4*(m + 1)**3
Let g(b) be the second derivative of 0*b**2 + 0*b**3 - 23 + 2*b**4 + 15/14*b**7 - b - 15/2*b**5 + 47/10*b**6. Suppose g(t) = 0. What is t?
-4, 0, 1/5, 2/3
Let g be 130050/18360 - (-14)/(-24). Factor -g*v**2 - 7/2*v**5 - v - 27/2*v**3 - 23/2*v**4 + 0.
-v*(v + 1)**3*(7*v + 2)/2
Let r(h) be the third derivative of -h**5/60 + h**4/12 + 67*h**3 - 12*h**2 - 23*h. Let x be r(21). Factor 14/3*z + 2/3*z**x + 1/3*z**4 - 4*z**2 - 5/3.
(z - 1)**3*(z + 5)/3
Let r = -9 - -11. Factor 3*l + l**2 - l**r + 14*l**3 + 14*l**2 + l + 4*l**4.
2*l*(l + 1)*(l + 2)*(2*l + 1)
Let u = 1207 - 1212. Let w be (20 - (5 - 3))/(2 - u). Factor 4/7*j - w*j**2 + 0.
-2*j*(9*j - 2)/7
Factor -16000/17*q + 0 + 122/17*q**4 + 18400/17*q**2 - 2/17*q**5 - 2520/17*q**3.
-2*q*(q - 20)**3*(q - 1)/17
Suppose -5*j - 47 = -o, 0 = -o - 2*j - 83 + 67. Let 0*n**3 + 10*n + 15/2*n**o + 15/4 - 5/4*n**4 = 0. What is n?
-1, 3
Let y(p) be the first derivative of -7/2*p**4 - 3*p**2 - 4*p + 61 + 8*p**3. Factor y(q).
-2*(q - 1)**2*(7*q + 2)
Suppose 3*t + 5*o = -t + 30157, 22617 = 3*t + 3*o. Suppose 5*v - t + 1088 = 0. Let -1284*d**3 + 8*d**2 - 8*d + v*d**3 + 2 - 2 = 0. Calculate d.
-2, 0, 2/3
Let c(t) = 489*t**2 - 7*t**4 - 40*t + 440*t**2 - 35*t**3 - 1001*t**2. Let y(k) = k**4 + k**2. Let w(q) = c(q) + 2*y(q). Solve w(s) = 0.
-4, -2, -1, 0
Let x = -71828 - -71830. Find o, given that -121/7 + 22/7*o - 1/7*o**x = 0.
11
Let f = 76 + -65. Suppose -2*g**4 + f*g**4 + 7*g**3 - 4*g**2 + g**4 - g**3 = 0. What is g?
-1, 0, 2/5
Let d(f) be the second derivative of -9*f + 1/4*f**5 + 35/12*f**4 + 25/2*f**2 - 2 + 55/6*f**3. Solve d(o) = 0 for o.
-5, -1
Suppose 5*s = g + 23, -30*g + 31*g = -3. Let y(x) be the second derivative of 8/15*x**3 + 15*x + 0*x**2 + 0 + 1/15*x**s. Solve y(t) = 0.
-4, 0
Let z(u) be the second derivative of -u**6/55 + u**5/55 + u**4/66 + 3974*u. Determine c so that z(c) = 0.
-1/3, 0, 1
Let g = -397311 + 397311. Factor 1/5*k**3 - 12/5*k - 1/5*k**2 + g.
k*(k - 4)*(k + 3)/5
Factor -240 - 368/3*j - 4/3*j**2.
-4*(j + 2)*(j + 90)/3
Let h(z) be the third derivative of 20*z**2 + 0*z + 1 - 4*z**3 + 0*z**4 + 1/90*z**5. Factor h(o).
2*(o - 6)*(o + 6)/3
Let r(a) be the first derivative of -2/65*a**5 + 1/26*a**4 + 4/13*a - 5/13*a**2 + 36 + 2/13*a**3. Factor r(d).
-2*(d - 1)**3*(d + 2)/13
Let o(h) = -h**3 - 2*h**2 + h + 2. Let d(p) = 3*p**4 + 15*p**3 - 57*p**2 - 3*p - 6. Let s(u) = -d(u) - 3*o(u). Solve s(v) = 0.
-7, 0, 3
Let w(g) = 7*g**2 + 275*g + 313. Let q(n) = -8*n**2 - 276*n - 322. Let m(p) = -5*q(p) - 6*w(p). Factor m(s).
-2*(s + 1)*(s + 134)
Suppose 18*g - 24 = 14*g. Let m(o) = -13*o**2 + 451*o + 98. Let l(r) = -5*r**2 + 150*r + 32. Let a(t) = g*m(t) - 17*l(t). Determine f, given that a(f) = 0.
-22, -2/7
Let l = -1453/3 - -71198/147. Let j(g) be the second derivative of -1/7*g**2 - 11*g - 1/21*g**4 + 1/35*g**5 + 1/35*g**6 + l*g**7 - 1/7*g**3 + 0. Factor j(y).
2*(y - 1)*(y + 1)**4/7
Let j = 429435 + -429433. Suppose 3*k + 9/8 + 9/4*k**j + 0*k**3 - 3/8*k**4 = 0. Calculate k.
-1, 3
Let a(j) = -4*j + 2*j + 9*j**3 + 4*j - 9 + 17*j**2 - 11*j. Let g(h) = -3 + h + 3*h**3 + 6*h**2 - 3*h - h. Let r(k) = -3*a(k) + 8*g(k). Factor r(f).
-3*(f - 1)*(f + 1)**2
Let k(q) = -5*q**3 - 312*q**2 + 23994*q - 23716. Let u(a) = -13*a**3 - 935*a**2 + 71992*a - 71148. Let n(v) = 8*k(v) - 3*u(v). Find c, given that n(c) = 0.
1, 154
Let h(r) be the third derivative of r**5/60 - 43*r**4/24 + 41*r**3/3 - 1019*r**2. Factor h(y).
(y - 41)*(y - 2)
Let o(n) be the third derivative of 16*n**2 + 1/630*n**7 + 0 + 4*n + 1/15*n**5 + 5/36*n**4 + 1/6*n**3 + 1/60*n**6. Factor o(h).
(h + 1)**3*(h + 3)/3
Let y(k) = -81*k**2 + 1012*k - 3136. Let v(a) = -324*a**2 + 4050*a - 12544. Let b(z) = -4*v(z) + 18*y(z). Solve b(j) = 0.
56/9
Factor -12*v + 34/3*v**2 + 0 + 2/3*v**3.
2*v*(v - 1)*(v + 18)/3
Let i(z) be the third derivative of z**6/40 - 3*z**5/10 - z**4/2 + 12*z**3 - 497*z**2 + 1. Let i(n) = 0. What is n?
-2, 2, 6
Let n(s) be the first derivative of -5*s**3/3 - 115*s**2/2 - 300*s + 3086. Suppose n(m) = 0. Calculate m.
-20, -3
Let g(s) be the first derivative of s**4 + 26/3*s**3 + 6*s**2 + 0*s + 125. Suppose g(c) = 0. What is c?
-6, -1/2, 0
Let n(k) be the first derivative of -k**8/1680 + k**7/280 - k**6/180 - 7*k**3 - 10. Let l(w) be the third derivative of n(w). Factor l(m).
-m**2*(m - 2)*(m - 1)
Let y = -76857 - -76860. Factor -250/11 - 100/11*s - 28/11*s**y + 2/11*s**4 + 120/11*s**2.
2*(s - 5)**3*(s + 1)/11
Let p(g) be the first derivative of -g**5/120 + g**4/24 - 2*g**2 + 5*g + 44. Let a(h) be the second derivative of p(h). Factor a(w).
-w*(w - 2)/2
Let s(a) be the first derivative of -a**5/10 + 55*a**4/4 - 3133*a**3/6 + 1485*a**2 - 1458*a - 2299. Solve s(m) = 0.
1, 54
Let u(n) be the second derivative of 3/8*n**4 + 2*n**3 + 37/2*n**2 - 1/20*n**5 - 11*n + 0. Let f(v) be the first derivative of u(v). Factor f(b).
-3*(b - 4)*(b + 1)
Factor 26/3*a**3 - 32*a**2 + 0 + 24*a - 2/3*a**4.
-2*a*(a - 6)**2*(a - 1)/3
Let c(l) be the second derivative of -l**6/150 - 27*l**5/50 - 182*l**4/15 + 9*l**3/5 + 729*l**2/10 + 73*l - 7. Factor c(z).
-(z - 1)*(z + 1)*(z + 27)**2/5
Let c(m) = 2*m**2 - m. Let h(o) = -12*o**2 + 16*o + 432. Let s(u) = 4*c(u) + h(u). Determine r, given that s(r) = 0.
-9, 12
Solve -67744/3*r - 1/3*r**5 + 26912/3 - 14389/3*r**3 + 54986/3*r**2 + 236/3*r**4 = 0.
1, 2, 116
Let s(n) = -n**2 + 11*n - 17. Let u be s(5). Factor 6*z**4 + 9*z**5 - u*z**3 - 4*z + 0*z**2 + 12*z**2 - 10*z**5.
-z*(z - 2)**2*(z - 1)**2
Let z(n) be the second derivative of -n**5/120 + n**4/48 + n**3 - 31*n**2 - n - 38. Let m(l) be the first derivative of z(l). Factor m(u).
-(u - 4)*(u + 3)/2
Let l(v) be the second derivative of -3/2*v**3 - 32*v + 0 + 0*v**2 + 3/20*v**5 + 1/2*v**4. Factor l(d).
3*d*(d - 1)*(d + 3)
Let s(l) be the second derivative of 3*l**5/100 - 231*l**4/20 + 30*l - 1. Factor s(w).
3*w**2*(w - 231)/5
Factor 103*v + 108*v - v**3 + 489*v - 3*v**4 + 380*v**2 - 2*v**4 + 6*v**3.
-5*v*(v - 10)*(v + 2)*(v + 7)
Let q be (-322)/(-76 - -30) + (1 - 0). Let y(l) be the first derivative of -q*l + 6*l**2 - 20 - 4/3*l**3. What is u in y(u) = 0?
1, 2
Let o(w) = 11*w**3 - 5*w**2 - 19*w - 27. Let x(i) be the first derivative of -8*i**4 + 5*i**3 + 29*i**2 + 79*i - 154. Let j(h) = -17*o(h) - 6*x(h). Factor j(n).
5*(n - 3)*(n + 1)**2
Let q(j) be the first derivative of -j**5/15 - j**4/3 + 2*j**3 - 30*j**2 - 26. Let g(a) be the second derivative of q(a). Solve g(i) = 0 for i.
-3, 1
Let p = -1164 + 1168. Suppose 12 = p*d, 0*u + 2*u = d + 1. Find o such that 1/2*o**3 - o**2 - u*o + 4 = 0.
-2, 2
Let a(s) be the third derivative of s**8/336 - 58*s**7/105 - 121*s**6/24 + 26*s**2 + 2*s - 13. Factor a(f).
f**3*(f - 121)*(f + 5)
Let r(i) be the first derivative of i**3/18 - 1783*i**2/6 + 3179089*i/6 + 12773. Factor r(l).
(l - 1783)**2/6
Let r(k) = -73*k**2 + 454*k - 12*k**2 - 21*k**3 - 536*k + 2 - 20. Let c(w) = -w**2 - w. Let s(p) = 5*c(p) + r(p). Factor s(z).
-3*(z + 1)*(z + 3)*(7*z + 2)
Let r(o) be the third derivative of o**11/665280 + o**10/100800 - 7*o**5/3 - 110*o**2. Let i(m) be the third derivative of r(m). What is n in i(n) = 0?
-3, 0
Let p(m) = -m**3 + 2*m**2 + 81*m + 11. Let c be p(-8). Let -c*n**3 - 30 + 24*n**2 - n**3 + 40 + n**4 - 28*n - 3*n**4 = 0. Calculate n.
-5, 1
Let r = 35770 + -4936207/138. Let u = r + 8/69. Factor -u*c**3 + 0 - c + 3/2*c**2.
-c*(c - 2)*(c - 1)/2
Let i = -68 - -135. Let v = i - 21. Determine m, given that -35*m**2 - 45*m + 81*m - 15*m**3 + 14*m**4 + 25*m**5 + 21*m**4 - v*m = 0.
-1, -2/5, 0, 1
Let p be 132/(-28) - -3 - 101120/(-33180). Factor 2/3*l**4 - 4/3*l**3 + 2/3 - p*l**2 + 2/3*l + 2/3*l**5.
2*(l - 1)**2*(l + 1)**3/3
Let b = 85 - 89. Let n(t) = t - 1. Let s(c) = -4*c**2 + 28*c + 24. Let g(w) = b*n(w) + s(w). Factor g(y).
-4