4 = 0.
0, 2
Let i be 11415/20 + 1/(8/(-6)). Suppose -i = -7*n - 3*n. Factor 10*x - 100 + n*x**2 + 10*x - 58*x**2.
-(x - 10)**2
Let h(m) be the first derivative of -3*m**5/5 - 27*m**4 - 35*m**3 - 2685. Factor h(d).
-3*d**2*(d + 1)*(d + 35)
Solve -139 + 17 - 147*z**2 + 215*z - 367*z - 2*z**3 - 205*z - 20 = 0.
-71, -2, -1/2
Let o(w) be the second derivative of 0 + 43/8*w**4 - 57/40*w**5 + 190*w - 3*w**2 + 27/28*w**7 - 2*w**3 - 39/20*w**6. Determine l, given that o(l) = 0.
-1, -2/9, 2/3, 1
Suppose 2*r = -10*q + 9*q + 10, 3*r - 5*q - 2 = 0. Factor -26*y - 240*y**2 - 347*y**4 - 48*y**3 + 10*y - 240*y + 696*y**r - 345*y**4.
4*y*(y - 16)*(y + 2)**2
Let x(r) = 7*r**3 + 11551*r**2 + 8340396*r + 8328999. Let k(i) = 48*i**3 + 80856*i**2 + 58382820*i + 58302992. Let t(u) = 3*k(u) - 20*x(u). Factor t(m).
4*(m + 1)*(m + 1443)**2
Suppose 128/5 + 80*t**2 + 776/5*t + 22/5*t**3 = 0. Calculate t.
-16, -2, -2/11
Let b(l) be the second derivative of l**4/72 + 3*l**3/4 - 130*l**2/3 - 1314*l + 1. Factor b(n).
(n - 13)*(n + 40)/6
Let b(c) be the first derivative of -c**6/1800 - c**5/120 - c**4/20 + 46*c**3/3 - 7. Let d(n) be the third derivative of b(n). Solve d(u) = 0 for u.
-3, -2
Let z(y) be the third derivative of 0 - 5/8*y**4 + 3*y**3 + 176*y**2 + 0*y + 1/20*y**5. Factor z(p).
3*(p - 3)*(p - 2)
Factor -34/9 - 2/3*r**2 - 40/9*r.
-2*(r + 1)*(3*r + 17)/9
Let u(l) = -28*l - 58. Let n be u(-2). Let p be 2/7 + n/7. Factor 0 + 0*q**4 + 3/5*q**3 - 3/5*q**5 + p*q + 0*q**2.
-3*q**3*(q - 1)*(q + 1)/5
Suppose -5*u + 3 = 4*w, 3*u - 4 - 2 = -w. Factor 3*a**5 + 3*a**4 - 22*a**u - 12*a**2 + 3 - 3 + 10*a**3.
3*a**2*(a - 2)*(a + 1)*(a + 2)
Let o(k) = k**3 + 120*k**2 + 600*k - 5. Let q(c) = 28*c**2 + 590*c + 2*c**3 + 152*c**2 - 7 + 310*c. Let i(h) = -7*o(h) + 5*q(h). Determine u so that i(u) = 0.
-10, 0
Let v(m) be the first derivative of 2*m**6/3 - 4*m**5/5 - 83*m**4 - 460*m**3/3 + 956*m**2 - 1120*m + 4770. Determine d, given that v(d) = 0.
-7, -4, 1, 10
Suppose -b - b - 4 = 0, -b = -4*q + 14. Factor -19*x**5 - 21*x**5 + 57*x**5 - 18*x**q - 15*x**5 + 24*x + 8*x**2.
2*x*(x - 2)**2*(x + 1)*(x + 3)
Let v(l) be the first derivative of 3*l**5/5 + 66*l**4 - 89*l**3 + 1245. Factor v(y).
3*y**2*(y - 1)*(y + 89)
Let v = -1326/11 + 111395/924. Let p(q) be the third derivative of 0*q + 0 + v*q**4 - 20*q**2 - 2/7*q**3 + 1/210*q**5. Solve p(c) = 0.
-3, 2
Let t = 1227195 - 2454387/2. Factor -3/2*s**3 + t*s**2 + 3/2*s + 0 - 3/2*s**4.
-3*s*(s - 1)*(s + 1)**2/2
Let g = -14739 + 14741. Factor 2/5*b**5 + 2/5*b**3 + 0*b + 0*b**g + 0 - 4/5*b**4.
2*b**3*(b - 1)**2/5
Let b(i) be the third derivative of i**9/60480 + i**8/10080 + i**5/30 + 25*i**3/6 - 62*i**2. Let n(d) be the third derivative of b(d). Factor n(z).
z**2*(z + 2)
Let d(r) = r - 3. Let g be d(6). Suppose 0 = -3*o + 5*o + 4*v + 6, -5*o = -2*v - 21. Find u such that 208 - 9*u**o + 3*u**2 - 208 + 9*u**4 - g*u**5 = 0.
0, 1
Let y(d) be the third derivative of 3*d**7/350 - 977*d**6/200 - 1718*d**5/75 - 437*d**4/10 - 656*d**3/15 - 1092*d**2 - 1. Suppose y(k) = 0. What is k?
-1, -2/3, 328
Let u(p) = -23*p + 38. Let n be u(-11). Let v = -289 + n. Factor 0*l - 4/17*l**3 - 10/17*l**4 + 0*l**v + 0.
-2*l**3*(5*l + 2)/17
Let t = -206215 + 206218. Suppose 4/3 - 1/3*n**4 - 11/3*n - 1/3*n**3 + t*n**2 = 0. What is n?
-4, 1
Determine k so that -2*k**3 + 434*k**2 - 869*k**2 + 0*k**3 + k**3 + 421*k**2 = 0.
-14, 0
Let p = -429754 + 2148782/5. Factor 0 + 2/5*c**4 - 2/5*c**3 + 0*c - p*c**2.
2*c**2*(c - 3)*(c + 2)/5
Suppose 16 = -r - 4*x, -8*r + 4*r - 5*x - 9 = 0. Find u such that 95*u**2 + u**2 - 24*u**3 - 8*u**3 + 64 - 128*u + 4*u**r = 0.
2
Let b(o) = 36*o**2 + 7120*o + 3168392. Let z(l) = -8*l**2 + 2. Let h(x) = -b(x) - 4*z(x). Let h(i) = 0. What is i?
-890
Suppose 0 + 8/3*q - 22/3*q**2 + 6*q**3 - 2/3*q**5 - 2/3*q**4 = 0. What is q?
-4, 0, 1
Let o be 84 - 14 - (-3)/(2 + -5). Factor -20 + o*l - 10 - 351*l**2 - 351*l**2 + 717*l**2.
3*(l + 5)*(5*l - 2)
Let f be 2/(-10)*65 + 9 + 4. Let t(n) be the first derivative of 0*n + 0*n**2 - 9/28*n**4 + f*n**5 + 1/14*n**6 - 2/7*n**3 + 17. Factor t(h).
3*h**2*(h - 2)*(h + 1)**2/7
Suppose -460*g + 462*g = 14. What is y in 2*y**2 + 3 + 49*y**4 - g*y**2 - 48*y**4 + 1 = 0?
-2, -1, 1, 2
Let n(v) be the second derivative of -v**7/9660 + v**6/828 - 7*v**5/1380 + v**4/92 + 92*v**3/3 - 170*v. Let q(c) be the second derivative of n(c). Factor q(l).
-2*(l - 3)*(l - 1)**2/23
Suppose o = -9*d + 4*d + 16303, -13036 = -4*d - 4*o. Factor d + 6989*x**2 - 148*x - 6987*x**2 - 523.
2*(x - 37)**2
Let z = -1199 - -2372. Let s = z - 15241/13. Suppose -10/13 + 2/13*b**2 + s*b = 0. What is b?
-5, 1
Let t(o) = -2*o**2 - 26*o + 28. Let f(j) = -8*j - 1. Let z(x) = 19*x + 2. Let w(l) = -14*f(l) - 6*z(l). Let u(p) = t(p) + 10*w(p). Factor u(d).
-2*(d - 1)*(d + 24)
Suppose 2*i - 3*j = 48, 51*i = 49*i + 15*j + 240. What is y in 0*y + i - 30/11*y**2 + 2/11*y**4 + 4/11*y**3 = 0?
-5, 0, 3
Suppose y = 2*u - 58, u + 0*y = 3*y + 19. Solve 3*m - 30*m - u*m**3 - 26*m**3 + m**4 - 24 - 10*m**4 + 117*m**2 + 0*m**4 = 0.
-8, -1/3, 1
Let s(d) be the second derivative of -21*d**5/20 - 159*d**4/2 - 3519*d**3/2 + 3174*d**2 - d - 3. Factor s(p).
-3*(p + 23)**2*(7*p - 4)
Let q(y) = y**2 - 16*y - 31. Let m be q(19). Factor 140*v + 9*v**5 - 40 - 4*v**5 + 125*v**3 - 39*v**2 - 40*v**4 - 125*v**2 - m*v**2.
5*(v - 2)**3*(v - 1)**2
Let p(t) be the third derivative of -12*t**2 + 1/15*t**3 + 0 + 0*t + 43/60*t**4 - 22/75*t**5. Suppose p(o) = 0. Calculate o.
-1/44, 1
Let f(d) be the first derivative of -d**6/40 + 3*d**5/10 + d**4/2 - 12*d**3 - 54*d**2 - 172*d - 170. Let k(a) be the first derivative of f(a). Factor k(g).
-3*(g - 6)**2*(g + 2)**2/4
Let l = 3361 + -3359. Factor 2/3*w**2 + l*w + 4/3.
2*(w + 1)*(w + 2)/3
Let m = -326 - -349. Find k, given that -4*k**3 + m*k + 4*k**5 + 4*k**4 - 4*k**2 - 23*k = 0.
-1, 0, 1
Let b be (-6)/(-26) - (-197335)/3965. Suppose 0 - 141/2*d**3 - 1/2*d**5 + 11*d**4 - b*d + 110*d**2 = 0. What is d?
0, 1, 10
Let u(b) be the third derivative of b**6/60 + 31*b**5/15 - 21*b**4/4 - 1167*b**2. What is q in u(q) = 0?
-63, 0, 1
Let x(w) be the first derivative of -4/13*w**3 - 30*w + 4/13*w**2 - 2/65*w**5 - 5/26*w**4 + 9. Let y(t) be the first derivative of x(t). Factor y(h).
-2*(h + 2)**2*(4*h - 1)/13
Let u(t) be the third derivative of 0*t + 88*t**2 + 0 + 1/210*t**6 + 0*t**4 + 1/140*t**5 + 1/1470*t**7 + 0*t**3. Factor u(o).
o**2*(o + 1)*(o + 3)/7
Solve -186 - p**2 + 61 - 49*p + 127*p + 48*p = 0.
1, 125
Suppose 0 + 232/3*m**2 - 16/3*m - 58/3*m**4 + 18*m**5 - 212/3*m**3 = 0. Calculate m.
-2, 0, 2/27, 1, 2
Factor -359/3*a + 1/3*a**2 + 0.
a*(a - 359)/3
Let j(d) = -d**2 + 29*d + 137. Let h be j(33). Find a, given that -12*a**2 - 40 + h*a**2 + 60*a - 23*a**2 + 5*a**3 = 0.
2
Let a(l) be the first derivative of -l**4/8 - 49*l**3/12 - 107*l**2/8 + 33*l/2 - 809. Suppose a(z) = 0. Calculate z.
-22, -3, 1/2
Factor 2/15*h**3 + 6/5*h**2 + 0 + 0*h.
2*h**2*(h + 9)/15
Let v = 2/26867 - -295531/80601. Let 5/3*f + 4/3*f**3 - 2/3 + v*f**2 = 0. Calculate f.
-2, -1, 1/4
Let c = -5723/14 - -2862/7. Let z(y) be the third derivative of 0*y - 1/7*y**3 - c*y**4 + 0 - 1/70*y**5 - 51*y**2. Factor z(l).
-6*(l + 1)**2/7
Find d such that 183/2*d**3 - 1179/2*d**2 - 402 + 3/2*d**4 + 1797/2*d = 0.
-67, 1, 4
Let d(m) = -m**2 + m + 1. Let r(b) = 7*b**2 - 91*b - 400. Let z(t) = -4*d(t) - r(t). Factor z(q).
-3*(q - 33)*(q + 4)
Let o(z) be the first derivative of 1/5*z**5 - 4*z + z**3 - 57 + 5/2*z**2 - 5/4*z**4. What is t in o(t) = 0?
-1, 1, 4
Suppose -3*i + 2*k = -117, 9*k = 5*k. Let z be 44/(-70) + 3 + i/91. Find f such that 6/5 + z*f**2 + 4*f = 0.
-1, -3/7
Let y = 50 + -49. Suppose 0 = j - r + y, 2*r - 18 = -2*j - 0. Factor -8*n + 73*n**2 - 7*n**4 - 36*n**3 + 27*n**4 - 45*n**2 - j*n**5.
-4*n*(n - 2)*(n - 1)**3
Let d(c) be the first derivative of c**3/18 + 464*c**2 + 1291776*c + 1536. Determine l, given that d(l) = 0.
-2784
Suppose o = 8*u + 130, -o + u - 11389 = -11491. Factor o + 1/2*j**2 - 14*j.
(j - 14)**2/2
Let k(y) = -3*y**4 + 4*y**3 - y + 2. Let q(p) = -p**4 - 112*p**3 + 315*p**2 - 2*p + 4. Let i(g) = 2*k(g) - q(g). Suppose i(v) = 0. What is v?
0, 3, 21
Let d(z) be the second derivative of z**6/15 + 787*z**5/10 + 34453*z**4 + 18190660*z**3/3 + 17984728*z**2 - 2*z + 226. Factor d(n).
2*(n + 1