z + 2)**3*(7*z - 2)**2
Let g be (216/48)/(3/20). Let a be ((-5085)/g)/(2/(-12)). Determine x, given that 7*x**2 + 3*x**5 + 1056*x**3 + 12*x + 18*x**4 + 29*x**2 - a*x**3 = 0.
-2, -1, 0
Let a(c) be the second derivative of 1/96*c**4 + 0 - 44*c + 441/16*c**2 + 7/8*c**3. Determine l so that a(l) = 0.
-21
Let f(c) be the first derivative of -7*c**6/40 + 9*c**5 - 1131*c**4/8 - 169*c**3 - 27*c**2/2 + 2*c + 7. Let h(u) be the second derivative of f(u). Factor h(o).
-3*(o - 13)**2*(7*o + 2)
Factor -24300/7 + 21060/7*m - 72/7*m**3 + 12*m**4 - 4968/7*m**2 + 4/7*m**5.
4*(m - 3)**3*(m + 15)**2/7
Let j(l) be the third derivative of l**5/80 - 997*l**4/16 + 994009*l**3/8 - 3847*l**2. Factor j(s).
3*(s - 997)**2/4
Let y be (-13)/(-3900) - 4/(-50). Let a(n) be the second derivative of 1/2*n**2 + 1/12*n**3 + 0 - y*n**4 - 8*n - 1/40*n**5. Factor a(x).
-(x - 1)*(x + 1)*(x + 2)/2
Let k(p) be the first derivative of 30*p + 27 + 5/4*p**4 + 0*p**3 - 35/2*p**2. Find z, given that k(z) = 0.
-3, 1, 2
Suppose -4*u = -3*b - 28, 6*u = -8*b + 10*b + 42. Let q(f) be the third derivative of 0*f - 1/4*f**4 + b - 15*f**2 + 0*f**3 + 2/15*f**5. Factor q(n).
2*n*(4*n - 3)
Suppose 0*x - 48 = -4*x. Let b(t) = t**2 - 13*t + 17. Let c be b(x). What is n in -814*n**4 + n**c + 814*n**4 = 0?
0
Let w = 271 + -269. Factor -360*u**2 + 3*u**3 - 6839*u + u**3 + 25879*u + 19600 - 196*u**w.
4*(u - 70)**2*(u + 1)
Let w(d) be the second derivative of 0 - 1/90*d**5 - 64*d + 0*d**2 + 0*d**3 - 1/6*d**4. Factor w(f).
-2*f**2*(f + 9)/9
Let f be (-14)/((-168)/660) + 8. Let j be 2/(42/f)*2/10. Factor 72/5*o - 432/5 - j*o**2.
-3*(o - 12)**2/5
Let l(y) = -5*y**3 - 57*y**2 + 28*y + 202. Let x(f) = -5*f**3 - 58*f**2 + 32*f + 193. Let i(w) = 3*l(w) - 2*x(w). Factor i(m).
-5*(m - 2)*(m + 2)*(m + 11)
Let g(v) = -25176*v + 100707. Let f be g(4). Solve 18/5*h - 16/5*h**4 - 58/5*h**f + 0 - 24/5*h**2 = 0.
-3, -1, 0, 3/8
Let y(c) be the first derivative of -c**6/24 - 3*c**5/20 + 17*c**4/8 + 49*c**3/3 + 45*c**2 + 56*c - 539. Let y(d) = 0. Calculate d.
-4, -2, 7
Let x(j) be the second derivative of -7/3*j**3 + 107*j + 0*j**2 + 0 + 1/6*j**4. Factor x(w).
2*w*(w - 7)
Factor 1/5*s**2 + 5041/5 + 142/5*s.
(s + 71)**2/5
Find v, given that 2/3*v**4 - 200/3*v + 0 - 10*v**2 + 4*v**3 = 0.
-5, 0, 4
Suppose 0 = 2*n - 2, 25 = -2*p + 6*p + n. Suppose p*y - y = 0. Let -9*r**2 - 6*r**3 - r**2 + 3*r**4 + r**2 + y*r**2 = 0. Calculate r.
-1, 0, 3
Let a = 5/129 + -157/5160. Let j(w) be the second derivative of 0*w**3 - a*w**5 + 0 + 23*w + 0*w**2 - 1/72*w**4. Factor j(i).
-i**2*(i + 1)/6
Let q be (-1476 - -1482)/((-20)/(-2)). Suppose 18/5*b - 48/5 + q*b**2 = 0. What is b?
-8, 2
Let r be (-21)/(-30)*(-18)/(-126) - 8/80. Let p(z) be the second derivative of -16/5*z**3 + r - 64/5*z**2 + 36*z - 2/5*z**4 - 1/50*z**5. Factor p(b).
-2*(b + 4)**3/5
Let m(r) be the second derivative of r**5/90 - 163*r**4/54 - 164*r**3/27 + 436*r. What is k in m(k) = 0?
-1, 0, 164
Let f(d) = -30*d - 81. Let o be f(-11). Let m = -245 + o. Solve 64/11*l**m - 4/11*l**2 - 2/11*l + 30/11*l**3 + 0 + 32/11*l**5 = 0 for l.
-1, -1/4, 0, 1/4
Let f(l) be the first derivative of -l**7/42 + l**6/3 - 33*l**5/20 + 10*l**4/3 - 8*l**3/3 + 122*l + 24. Let s(m) be the first derivative of f(m). Factor s(v).
-v*(v - 4)**2*(v - 1)**2
Suppose 50 = -16*h + 242. Let q(r) = 2*r - 4. Let d be q(4). Solve 10*b**2 - h*b**2 - 2*b - d*b = 0.
-3, 0
Suppose -269*n - 269*n - 90 - 42 = -571*n. Factor 0 + 0*g**2 + 0*g - 21/4*g**n + 3/4*g**5 - 6*g**3.
3*g**3*(g - 8)*(g + 1)/4
Let d = -28 + 38. Suppose -5*m + 43 = -h, 4*m + 4*h = d + 10. What is f in -m*f + 4*f**4 - 4 - 7*f**3 + 0*f**3 + 15*f**3 = 0?
-1, 1
Let w be (35 - (-1065)/(-30))*11/(22/(-9)). Let r = -3 + 5. Find j, given that -w*j + 3/2*j**r + 3/4*j**3 + 0 = 0.
-3, 0, 1
Let y(r) be the second derivative of r**6/120 - 27*r**5/40 + 13*r**4/4 + r**3 - 2*r**2 - 19*r - 2. Let t(s) be the second derivative of y(s). Factor t(p).
3*(p - 26)*(p - 1)
Determine f so that 515*f**3 - 166*f**3 - 57*f + 192*f**2 - 167*f**3 - 170*f**3 + 33*f**2 = 0.
-19, 0, 1/4
Let v be 377/870 + 2/(-20). Let g(o) be the first derivative of 0*o + 0*o**2 + v*o**3 - 13. Let g(r) = 0. Calculate r.
0
Let w(l) = 4 - 4*l + 2 + 5 + 6. Let u be w(-10). Factor -12*r**2 + 0*r**5 - u*r - 12*r**4 - 18*r**3 + 54*r - 3*r**5.
-3*r*(r + 1)**4
Let m(t) be the second derivative of 40*t**7/21 - 52*t**6/3 + 49*t**5/4 - 5*t**4/2 - 96*t. Factor m(q).
5*q**2*(q - 6)*(4*q - 1)**2
Determine g, given that -10/7*g**3 + 12*g**2 - 184/7*g - 1/7*g**4 + 128/7 = 0.
-16, 2
Let d(g) be the third derivative of 2/15*g**6 + 0 + 1/105*g**7 - 25/6*g**4 + 1/6*g**5 - 17*g + 3*g**2 + 0*g**3. Factor d(s).
2*s*(s - 2)*(s + 5)**2
Let g be ((-1210)/500 - (-15)/6)/((-4)/(-10)). Let o(s) be the second derivative of 2*s**3 + 13*s + g*s**5 + s**4 + 2*s**2 + 0. Solve o(u) = 0 for u.
-1
Let t(n) = -3*n**3 - 88*n**2 + 66*n + 180. Let q be t(-30). Factor 0*g**2 + q + 7/2*g**4 + 2*g**5 + 3/2*g**3 + 0*g.
g**3*(g + 1)*(4*g + 3)/2
Factor 0 + 0*h + 20/7*h**2 - 18/7*h**3 - 2/7*h**4.
-2*h**2*(h - 1)*(h + 10)/7
Let v be -8 + -10 + 23 + 8 + -8. Let p(x) be the third derivative of 2 - 3/20*x**4 + 1/150*x**v + 0*x - 3*x**2 - 2/3*x**3. Factor p(o).
2*(o - 10)*(o + 1)/5
Suppose -o - 5*h - 131 = 0, -h + 69 = 71. Let j be o/11 + (-228)/(-20). What is b in 4 + 18/5*b - j*b**2 = 0?
-1, 10
Suppose 0 = -5*o - 16365 - 72375. Let v be o/(-8)*(-2)/(-3). Find i such that -i**4 - 17*i + 9*i**2 + 4 + 1478*i**3 + 6*i - v*i**3 = 0.
-4, 1
Let g = 36234 + -72463/2. Find d such that -5/2*d**2 - g*d + 0 = 0.
-1, 0
Let x(u) be the third derivative of u**6/840 + 13*u**3/6 + u**2 - 29. Let g(f) be the first derivative of x(f). Factor g(r).
3*r**2/7
Determine p, given that -977*p**5 + 880 + 778*p**3 - 2960 - 3152*p + 975*p**5 - 118*p**4 - 178*p**2 = 0.
-65, -1, 4
Let b be ((-165)/(-270) - (-88)/99)*2. Let l = 134/45 + -7/9. Let 1/5*k**b - 5 + 7*k - l*k**2 = 0. What is k?
1, 5
Let q(l) be the third derivative of l**7/195 - 47*l**6/260 + 391*l**5/390 - 97*l**4/52 + 34*l**3/39 + 2*l**2 + 294*l - 3. Determine x, given that q(x) = 0.
1/7, 1, 2, 17
Let q = -4134 - -16537/4. Let g(a) be the second derivative of 1/4*a**3 + q*a**2 - 11/96*a**4 + 0 - a + 5/48*a**6 - 3/16*a**5. Factor g(s).
(s - 1)**2*(5*s + 2)**2/8
Let t(u) = 17*u + 1977*u**2 - 15 + 96 - 1978*u**2 + 7*u. Let j be t(27). Let 0*h - 9/8*h**4 + 9/8*h**3 - 3/8*h**2 + j + 3/8*h**5 = 0. What is h?
0, 1
Let p(y) = 23*y**2 - 65*y - 29. Suppose 6*f + 38 - 32 = 0. Let s(k) = 2*k**2 - 1. Let u(h) = f*p(h) - s(h). What is i in u(i) = 0?
-2/5, 3
Determine f, given that 320/3*f - 800/3 + 1/3*f**3 + 38/3*f**2 = 0.
-20, 2
Let z be (1 + -5)*(-429)/286. Let j be -2*(-10)/40*z. Factor 3/4*x**3 - j*x - 6 + 3/2*x**2.
3*(x - 2)*(x + 2)**2/4
Let k(l) be the first derivative of 3*l**5/20 + l**4 - 19*l**3/2 + 21*l**2 + 128*l + 88. Let u(p) be the first derivative of k(p). Factor u(x).
3*(x - 2)*(x - 1)*(x + 7)
Let h = -10 + 15. Let y be 1 + (-4 + h - 0). Let 4*r**5 + 5*r - 8*r**3 - 8*r**4 - 37 + 45 - 33*r + 32*r**y = 0. Calculate r.
-2, 1
Let n(g) be the third derivative of g**7/840 - 13*g**6/24 + 845*g**5/12 + 34*g**2 - 25*g. Factor n(v).
v**2*(v - 130)**2/4
Let f be ((-740)/(-108) - 7)*(-1 + 40) - -6. Let w(r) be the third derivative of -1/36*r**5 + 21*r**2 + 0 + 0*r - 1/9*r**4 - 1/360*r**6 - f*r**3. Factor w(h).
-(h + 1)*(h + 2)**2/3
Let c(s) be the third derivative of 0 + 54*s**2 - 3/14*s**4 - 43/735*s**7 - 17/420*s**6 + 29/70*s**5 + 0*s + 0*s**3 - 3/392*s**8. Let c(k) = 0. What is k?
-3, 0, 2/9, 1
Let y(j) be the first derivative of 119 + 5*j**2 + 4*j + 2*j**3 - 2/5*j**5 - 1/2*j**4. Let y(w) = 0. Calculate w.
-1, 2
Let a(b) be the third derivative of 57*b**2 + 49/15*b**3 - 7/10*b**4 + 3/50*b**5 + 2 + 0*b. Factor a(p).
2*(3*p - 7)**2/5
Let p = -22513/2 - -33778/3. Factor -p*s**3 - 43/6*s + 7/3 + 15/2*s**2 + 1/6*s**4.
(s - 14)*(s - 1)**3/6
Find f, given that 2 + 1/9*f**5 + 5*f - 2/3*f**3 + 28/9*f**2 - 2/3*f**4 = 0.
-1, 3, 6
Let l(b) be the first derivative of -b**3/3 + 2423*b**2 - 5870929*b - 11597. Find m, given that l(m) = 0.
2423
Let x(i) = i**2 + 3*i - 20. Let z be x(4). Suppose 55 - 15 = z*c. Find r such that -26*r**2 - r**4 - 10*r + 32*r**3 + 16*r - c*r**4 - 2*r**4 = 0.
0, 1/2, 3
Let p(m) be the first derivative of 28/