- 0). Factor y*v**4 + l*v**3 - 2/7*v - 3/7*v**2 + 0.
v*(v - 1)*(v + 1)*(3*v + 2)/7
Let u(x) be the first derivative of x**6/4 - 9*x**5/40 - x**4/4 + 119*x + 116. Let v(y) be the first derivative of u(y). Factor v(g).
3*g**2*(g - 1)*(5*g + 2)/2
Let z(w) = -w + 10. Suppose -2*o + 6*o - 32 = g, -5*g = -3*o + 41. Let y be z(o). Determine u so that -243 + 15*u - 13*u**2 + 237 + 3*u**y + u**2 = 0.
1, 2
Let d(a) be the third derivative of a**8/336 + 19*a**7/210 + 139*a**6/120 + 481*a**5/60 + 95*a**4/3 + 200*a**3/3 - 865*a**2. Let d(s) = 0. What is s?
-5, -4, -1
Let y(h) be the first derivative of 2*h**4/7 + 22*h**3/3 + 37*h**2 + 120*h/7 - 22. Let y(z) = 0. Calculate z.
-15, -4, -1/4
Let x(p) be the second derivative of 0 + 0*p**2 + 2/165*p**6 - 12*p - 4/33*p**3 - 2/33*p**4 + 3/110*p**5 - 1/231*p**7. Let x(l) = 0. What is l?
-1, 0, 2
Let -831*f + 96*f**2 + 4*f**3 - 5400 + 505*f + 506*f = 0. Calculate f.
-15, 6
Let b(l) be the second derivative of l**4/2 - 649*l**3/3 - 434*l**2 - 1574*l. Solve b(o) = 0.
-2/3, 217
Let b(w) be the second derivative of -37*w - 1/144*w**4 + 1 - 13/36*w**3 + 9/8*w**2. What is z in b(z) = 0?
-27, 1
Let h(f) = -f**3 - 25*f**2 + 22*f - 101. Let x be h(-26). Suppose -t = -3*p + 2, 2*t = -2*p + x*t. Factor 8/3 - 4/3*w + 4/3*w**3 - 8/3*w**p.
4*(w - 2)*(w - 1)*(w + 1)/3
Let k(s) be the second derivative of -3*s**5/20 + s**4/2 + 52*s**3 + 288*s**2 - 9*s + 129. Factor k(t).
-3*(t - 12)*(t + 2)*(t + 8)
Let n(z) be the third derivative of z**5/450 + z**4/180 - 16*z**3/3 - 8*z**2 - 16*z + 7. Solve n(s) = 0.
-16, 15
Suppose 20 - 75 = -23*a + 60. Let l(u) be the second derivative of -17*u + 0*u**4 + 1/6*u**6 - 5/2*u**2 + 0 - 1/2*u**a + 5/3*u**3. Factor l(r).
5*(r - 1)**3*(r + 1)
Suppose -5*r = -2*r - 3*n - 105, 0 = -3*r - 2*n + 95. Suppose 3*d + 15 - r = 0. Determine t, given that -5*t**2 + 2*t - t**2 - d*t + 8*t**2 = 0.
0, 2
Let p(x) = 11*x**3 - 13*x**2 - 4*x - 1. Let k(w) = w**3 - 2*w**2. Let a(v) = 8*v**2 - 19*v + 2. Let d be a(2). Let o(f) = d*p(f) + 28*k(f). Factor o(z).
-4*(z - 1)*(z + 1)*(4*z + 1)
Let f(t) be the third derivative of -t**6/960 - 251*t**5/480 + 505*t**4/192 - 253*t**3/48 + 35*t**2 + 2. Let f(p) = 0. Calculate p.
-253, 1
Let u(k) be the second derivative of -5/3*k**3 - 5/12*k**4 + 1 - 108*k + 15/2*k**2. Suppose u(b) = 0. Calculate b.
-3, 1
Let y be (-132)/(-2)*42/14. Let l = 200 - y. Let 3/4*i**3 - 3/4*i**l + 0*i + 0 = 0. What is i?
0, 1
Let o = -381 - -383. Factor -6406*x**2 + 9 - 3 + 15*x**3 + 6433*x**o + 21*x + 3*x**4.
3*(x + 1)**3*(x + 2)
Let y(d) be the first derivative of d**3/7 + 42*d**2 + 4116*d - 5311. Solve y(a) = 0 for a.
-98
Let y(g) be the second derivative of g**6/480 - g**5/20 - 89*g**3/6 - 79*g. Let b(m) be the second derivative of y(m). Factor b(l).
3*l*(l - 8)/4
Suppose -174 = -25*l - 8*l - 25*l. Let c(v) be the second derivative of 1/21*v**l - 19*v + 0 - 1/70*v**5 + 0*v**2 + 0*v**4. Factor c(g).
-2*g*(g - 1)*(g + 1)/7
Let r(f) be the second derivative of -1/24*f**4 + 0 - 13/24*f**3 + 7/8*f**2 + 113*f. Determine w, given that r(w) = 0.
-7, 1/2
Let b(x) be the second derivative of -x**5/40 + 5*x**4/24 + 161*x**3/12 - 165*x**2/4 + 177*x + 4. Factor b(i).
-(i - 15)*(i - 1)*(i + 11)/2
Let d(a) be the second derivative of -a**9/13608 + a**8/1890 - a**7/945 - a**3/6 - 2*a**2 + 16*a. Let m(l) be the second derivative of d(l). Factor m(v).
-2*v**3*(v - 2)**2/9
Let p = -2338 + 2338. Let v(q) be the third derivative of 12*q**2 + 0*q - 4/21*q**3 - 1/35*q**5 + p + 3/28*q**4 + 1/420*q**6. What is u in v(u) = 0?
1, 4
Let g(x) be the first derivative of x**6/180 + 9*x**5/20 + 15*x**3 - 135. Let y(n) be the third derivative of g(n). Factor y(t).
2*t*(t + 27)
Determine w, given that 2864/5*w + 424*w**2 + 4/5*w**5 - 2848/5 - 704/5*w**4 - 1436/5*w**3 = 0.
-2, 1, 178
Let a = 75539/153 + -8227/17. Solve a + 10/3*l**2 - 2/9*l**3 - 32/3*l = 0.
2, 11
Let l be (260/117)/(4 - (64/(-24))/(-1)). What is t in -4/3 - 1/3*t**2 - l*t = 0?
-4, -1
Let x(c) be the third derivative of -1 + 16/3*c**3 + 2/15*c**5 - 17*c**2 + 2*c**4 - 2/105*c**7 - 1/10*c**6 + 0*c. Factor x(i).
-4*(i - 2)*(i + 1)*(i + 2)**2
Let t(f) = -3*f**3 - 3*f**2 - 12*f. Let m(n) = -6*n**2 - 11*n**3 - 107*n + 4*n**3 + 82*n. Let l(u) = 6*m(u) - 13*t(u). Factor l(h).
-3*h*(h - 2)*(h + 1)
Factor -6*m - 135/4 - 1/4*m**2.
-(m + 9)*(m + 15)/4
Let b be (-32)/4 + (-43)/(-4) + 0. Let j(l) be the second derivative of 3/2*l**2 - b*l**4 - 9/10*l**5 - 9*l + 0 - 2*l**3. Factor j(k).
-3*(k + 1)**2*(6*k - 1)
Let l = 1025006 + -1025004. Solve 0*g - 6*g**l + 2/3*g**4 + 2/15*g**5 + 72/5 - 2/3*g**3 = 0.
-3, 2
Let f be (-1)/(-9) + (-2)/((-18)/17). Factor -5*l - 222*l**3 - 5*l**5 - 10*l - 50*l**f - 30*l**4 + 162*l**3.
-5*l*(l + 1)**3*(l + 3)
Let j be 3/((-2 - 1) + 64/24). Let g be (2/(-7))/(j/63). Factor -1/5*d - 1/5*d**3 + 0 + 2/5*d**g.
-d*(d - 1)**2/5
Let h(k) = -62658*k**2 - 20 - 1626*k + 3 + 3 + 210*k + 10. Let d(c) = -62658*c**2 - 1416*c - 5. Let u(g) = -4*d(g) + 3*h(g). Factor u(i).
2*(177*i + 2)**2
Suppose 7453 = -27*s + 730. Let b be (-3)/(-5) + -7 + s/(-10). Factor 73/2*v**3 + 7/2*v**5 - 2 + 14*v - 67/2*v**2 - b*v**4.
(v - 2)*(v - 1)**3*(7*v - 2)/2
Let a be 4/14 + 0 + (160/(-84))/(-5). Factor a*o**3 - 8/9 - 32/9*o**2 + 34/9*o.
2*(o - 4)*(o - 1)*(3*o - 1)/9
Factor -219/5*p + 3/5*p**3 - 216/5*p**2 + 0.
3*p*(p - 73)*(p + 1)/5
Let n(s) be the third derivative of s**6/72 - 3*s**5 + 270*s**4 + 18*s**3 - 53*s**2. Let h(u) be the first derivative of n(u). Factor h(q).
5*(q - 36)**2
Suppose 11*c + 18 = 5*s + 9*c, -2*s - 4*c = 12. Factor 12*a - 1 + 7 + 5*a - 2 + 4*a**s.
(a + 4)*(4*a + 1)
Solve 31684 - 54353*u**3 - 5/3*u**5 + 1793/3*u**4 + 415811/3*u**2 - 349592/3*u = 0 for u.
3/5, 1, 178
Let x = 231 - 226. Find s, given that 5*s**2 + 6*s**2 - 26*s**2 - 8*s - 2*s**3 + x*s**2 = 0.
-4, -1, 0
Let g(w) be the second derivative of 1/12*w**3 + 1/84*w**7 + 1/12*w**4 - 1/4*w**2 - 1/20*w**5 - w - 1/60*w**6 - 10. Factor g(t).
(t - 1)**3*(t + 1)**2/2
Let y be (-6)/10 + 3256/88*2/40. Factor -5/2*j - y*j**2 + 15/4.
-5*(j - 1)*(j + 3)/4
Let b = -51 - -56. Let u be b - (82/24 + (-108)/(-81)). Solve 5/4*o - 3/2 - u*o**2 = 0.
2, 3
Let j be 518/(-3885) + 214/30. Let x(w) be the third derivative of 0 + 0*w - j*w**2 + 0*w**3 - 1/15*w**5 + 1/24*w**4. Factor x(a).
-a*(4*a - 1)
Suppose 30 = 5*u - 0*u. Suppose 15 - u = 5*o + 3*s, -2*o + 3*s = -12. Suppose -20*j**o - 965*j**2 - 9*j**5 - 50*j**4 - 6*j**5 + 1005*j**2 = 0. Calculate j.
-2, 0, 2/3
Let p(h) = -h**4 + 13*h**3 + 6*h**2 - 13*h - 2. Let z(o) = -o**4 + o**3 - o + 2. Let d(a) = -p(a) + 3*z(a). Factor d(j).
-2*(j - 1)*(j + 1)**2*(j + 4)
Factor -1/6*m**3 + 18 - 13/6*m**2 - 4*m.
-(m - 2)*(m + 6)*(m + 9)/6
Factor 256/9*s + 140/3*s**3 + 64*s**2 + 98/9*s**4 + 0.
2*s*(s + 2)*(7*s + 8)**2/9
Let m(f) be the second derivative of f**5/30 - 923*f**4/6 + 851929*f**3/3 - 786330467*f**2/3 + 2241*f. Factor m(b).
2*(b - 923)**3/3
Let c(z) be the third derivative of 0*z + 0*z**4 + 0 - 1/1080*z**5 + 2*z**2 - 5/2*z**3 + 1/3240*z**6. Let b(l) be the first derivative of c(l). Factor b(w).
w*(w - 1)/9
Solve 6*k**3 - 1/2*k**5 - 7*k**2 - k**4 + 0 + 5/2*k = 0 for k.
-5, 0, 1
Let s(z) be the third derivative of -2*z**7/315 + 1928*z**6/45 - 330502*z**5/3 + 1063388900*z**4/9 - 4243648250*z**3/9 + 3*z**2 - 55. Factor s(c).
-4*(c - 1285)**3*(c - 1)/3
Let i(w) = 6*w**3 + 248*w**2 - 22*w - 264. Let m(o) = o**3 + 50*o**2 - 4*o - 53. Let a(p) = -3*i(p) + 16*m(p). What is y in a(y) = 0?
-1, 1, 28
Let p = 763/9444 - -2/787. Let l(k) be the first derivative of -13/4*k**2 - 169/4*k - 16 - p*k**3. Factor l(f).
-(f + 13)**2/4
Let i = -152 - -1070/7. Suppose -53*p = -137*p + 142*p. Factor p - 2/7*v**2 - i*v.
-2*v*(v + 3)/7
Let s(t) be the first derivative of 2*t**5/5 - t**4 - 14*t**3/3 + 20*t**2 - 24*t + 2758. Factor s(n).
2*(n - 2)**2*(n - 1)*(n + 3)
Let s be ((-68052)/33 - 20/(-110))/2. Let t = 4127/4 + s. Suppose 1/2*a + 0 + t*a**2 - 1/4*a**4 + 0*a**3 = 0. Calculate a.
-1, 0, 2
Let v = -993 + 998. Let g(n) be the first derivative of 10/33*n**3 - 3 - 1/22*n**4 - 3/11*n**2 - 2/55*n**v + 0*n. Find t, given that g(t) = 0.
-3, 0, 1
Suppose -2/9*i**2 + 158/9*i - 52/3 = 0. What is i?
1, 78
Find o such that -3/5*o**2 - 42/5*o + 624 = 0.
-40, 26
Let x = -111384 + 111384. Let x - 3/4*l**3 + 15/4*l**2 +