 is n?
1, 6
Factor 45823 + 195*s + 3*s**3 + 57*s - 69*s**2 - 45499.
3*(s - 18)*(s - 6)*(s + 1)
Let a(u) be the first derivative of 0*u**2 - 1/80*u**5 + 50*u - 1/24*u**3 - 23 - 1/24*u**4. Let y(o) be the first derivative of a(o). Factor y(l).
-l*(l + 1)**2/4
Let f = 68196 - 68194. Determine n so that -6/5*n - 2/5*n**3 + 0 - 2/5*n**4 + 2*n**f = 0.
-3, 0, 1
Let t(o) = 76*o**2 - 351*o - 142. Let y be t(5). Factor -14/11*i**2 + 8/11 + 0*i + 6/11*i**y.
2*(i - 2)*(i - 1)*(3*i + 2)/11
Let w(u) be the third derivative of -u**6/240 - 17*u**5/60 - 31*u**4/48 + 11*u**3/2 - 3*u**2 - 49*u. Factor w(o).
-(o - 1)*(o + 2)*(o + 33)/2
Find n, given that -3/8*n**5 - 45/4*n**3 + 45/4 - 15/4*n**4 - 15/2*n**2 + 93/8*n = 0.
-5, -3, -2, -1, 1
Suppose 12247*o = 12252*o + 35, 2*r + 10 = -2*o. What is d in -8/5 + 6/5*d**r + 2/5*d**4 - 2*d + 2*d**3 = 0?
-4, -1, 1
Let n be (348/(-42))/(-29)*70/8. Let q = -177 + 181. Determine z, given that 1/2*z**5 + 0*z**2 + 2*z**q + 0 + 0*z - n*z**3 = 0.
-5, 0, 1
Let u = -388 + 391. Suppose 0*g**5 - 8*g + u*g**4 + 6*g**3 - 5*g**5 + 4*g + 2*g**5 + g - 6*g**2 + 3 = 0. What is g?
-1, 1
Let g(q) be the third derivative of -1/8*q**6 + 5/12*q**5 + 1 - 1/42*q**7 + 5/8*q**4 - 10/3*q**3 + 0*q + 11*q**2. Find t, given that g(t) = 0.
-4, -1, 1
Find m such that -351*m - 6*m**2 - 2*m**2 + 391*m + 765 + 3*m**2 = 0.
-9, 17
Let d(m) be the second derivative of 4/3*m**2 + 16 - 2*m + 1/2*m**3 + 1/36*m**4. Find r such that d(r) = 0.
-8, -1
Let p(x) be the third derivative of 7*x**6/40 - 1047*x**5/20 - 225*x**4/4 + 176*x**2 - 3*x + 5. Suppose p(g) = 0. What is g?
-3/7, 0, 150
Let v(f) be the first derivative of -2/35*f**5 + 0*f**2 - 5*f + 20 + 0*f**3 - 2/105*f**6 - 1/21*f**4. Let i(j) be the first derivative of v(j). Solve i(o) = 0.
-1, 0
Factor -3039*f**4 - 4212*f - 378 + 593*f**2 - 19806*f**3 - 1006*f**3 + 377*f**4 - 16433*f**2.
-2*(f + 7)*(11*f + 3)**3
Determine y so that -22267/3*y**3 + 9583/3*y**5 - 6665/3*y**2 - 104*y - 4/3 - 2109*y**4 = 0.
-1, -2/7, -1/37, 2
Let i = -12/367 + 487/3670. Let h(t) be the second derivative of 3/20*t**5 + 0 + 0*t**2 - 1/2*t**3 + 13*t + i*t**6 - 1/4*t**4. Suppose h(a) = 0. Calculate a.
-1, 0, 1
Let k(z) be the first derivative of -42*z**3/11 - 293*z**2/11 - 124*z/11 - 14247. Suppose k(h) = 0. Calculate h.
-31/7, -2/9
Suppose -4*f = 5*j - 32, 0 = -21*j + 27*j + 4*f - 32. Let -2/7*b**5 + 0 - 16/7*b**3 - 2*b**4 + 32/7*b**2 + j*b = 0. Calculate b.
-4, 0, 1
Let n = -939 - -921. Let q be (30/(-90))/(3/n). Solve -8/3*v**2 + 26/3*v - q = 0.
1/4, 3
Let w = -45 - -49. Suppose 5*v - 38 + 3 = -c, 2*v + 30 = w*c. Factor 25*t**3 - 44*t**2 + 7*t**2 + c*t + 2*t**2.
5*t*(t - 1)*(5*t - 2)
Let o(i) be the first derivative of -485*i**3 - 1450*i**2 + 20*i - 881. Find x such that o(x) = 0.
-2, 2/291
Let v(s) = -2*s - 1. Let p be v(11). Let q = p + 41. What is c in 0*c - c + 3*c - q + 10*c - 2*c**2 = 0?
3
Let c(y) be the second derivative of 3*y**5/20 - 125*y**4 + 62997*y**3/2 - 186003*y**2 - 9*y + 176. Solve c(w) = 0.
2, 249
Let n(o) be the third derivative of 0*o + 0*o**3 + o**2 + 20 - 1/90*o**5 + 2/3*o**4. Factor n(l).
-2*l*(l - 24)/3
Let i(h) be the first derivative of -5/4*h**4 + 65 - 180*h - 90*h**2 - 55/3*h**3. Factor i(t).
-5*(t + 2)*(t + 3)*(t + 6)
Let h(q) be the first derivative of q**6/12 - 7*q**5/5 + 33*q**4/4 - 18*q**3 - 27*q**2/4 + 81*q + 947. Factor h(r).
(r - 6)*(r - 3)**3*(r + 1)/2
Let x(i) = -15*i**3 + 1120*i**2 + 2250*i + 1101. Let b(n) = -11*n**3 + 746*n**2 + 1500*n + 733. Let s(z) = 7*b(z) - 5*x(z). Factor s(p).
-2*(p + 1)**2*(p + 187)
Find z, given that -2752*z + 3*z**5 - 11*z**3 + 384 + 1952*z + 300*z**2 - 12*z**4 + 138*z**2 - 2*z**5 = 0.
-6, 1, 8
Let b = 320015/7 + -44744. Let o = 973 - b. Determine k so that 0 + o*k**2 + 8/7*k = 0.
-2, 0
Suppose 22917216 - 22917216 + z**5 + 41*z**4 + 114*z**3 = 0. What is z?
-38, -3, 0
Let x(i) = -i - 2. Let b be x(-5). Let -b*t - 12*t + 30*t + 5*t**2 = 0. Calculate t.
-3, 0
Let q(y) be the second derivative of y**6/95 - 34*y**5/95 + 337*y**4/114 + 40*y**3/19 - 2*y + 124. Determine a, given that q(a) = 0.
-1/3, 0, 8, 15
Suppose -970*l = -880*l - 270. Let a(g) be the first derivative of 2/27*g**l - 4 - 1/54*g**6 + 1/18*g**2 + 0*g**4 + 0*g - 2/45*g**5. Solve a(m) = 0 for m.
-1, 0, 1
Suppose 0 = 606*q - 305*q - 296*q. What is u in q*u + 0 + 4/5*u**2 - 2/5*u**3 - 2/5*u**4 = 0?
-2, 0, 1
Let u(s) be the second derivative of -s**5/50 + 89*s**4/10 - 177*s**3/5 + 53*s**2 + 1188*s. Factor u(l).
-2*(l - 265)*(l - 1)**2/5
Let c = -159 - -342. Factor c*l**4 + 37151*l + 2*l**5 + 27000 - 10192*l + 62190*l**2 - 16141*l + 5671*l**3 + 46910*l + 25972*l.
(l + 1)*(l + 30)**3*(2*l + 1)
Let b be 30/18*((-144)/(-20))/6. Factor 3*h**4 + b*h**4 + 3*h**2 + 6*h - 14*h**4 - 6*h**3 + 6*h**4.
-3*h*(h - 1)*(h + 1)*(h + 2)
Let s(t) be the third derivative of -1/10*t**5 + t**3 + 0*t - 1/40*t**6 + 1/8*t**4 + t**2 - 24. Factor s(v).
-3*(v - 1)*(v + 1)*(v + 2)
Let q(x) be the second derivative of x - 1/8*x**4 + 0 - 3*x**3 + 21*x**2. Factor q(w).
-3*(w - 2)*(w + 14)/2
Let z(j) be the first derivative of -j**3 + 15*j**2/2 + 900*j - 3013. Find l, given that z(l) = 0.
-15, 20
Let a(f) be the second derivative of -2*f**6/15 + 7*f**4/3 - 4*f**3 - 37*f - 6. Factor a(o).
-4*o*(o - 2)*(o - 1)*(o + 3)
Let a(o) be the third derivative of -1/80*o**6 + 9/2*o**3 + 35/16*o**4 + 2/5*o**5 + 0*o + 0 - 35*o**2. Factor a(d).
-3*(d - 18)*(d + 1)**2/2
Factor 2152/9*u + 2150/9 + 2/9*u**2.
2*(u + 1)*(u + 1075)/9
Let q(x) be the first derivative of 2*x**5/95 + 104*x**4/19 + 410*x**3/19 - 4*x**2/19 - 1640*x/19 + 6538. Solve q(l) = 0 for l.
-205, -2, 1
Let k be 5 + (-25)/(6 - 1). Let q(t) be the first derivative of -4 - t**5 + 0*t**2 + 5/6*t**6 + 0*t**3 - 5/2*t**4 + k*t. Solve q(y) = 0.
-1, 0, 2
Let q = -183463 + 183465. Factor 0 + 10*r**q - 14/3*r**3 - 6*r + 2/3*r**4.
2*r*(r - 3)**2*(r - 1)/3
Suppose -17*u = -633 + 174. Let m be (u/20)/((-21)/(-35) - 0). Let -15/4*y + 3/2 + m*y**2 = 0. What is y?
2/3, 1
Let s(o) = o**3 - 6*o - 3. Let d be s(0). Let w be (-713)/d - 7 - 2. Factor -14*h**2 - 2/3*h**3 - w - 98*h.
-2*(h + 7)**3/3
Let x = -143322442 - -655126887599/4571. Let l = 1/653 + x. Factor -2/7*r**3 + 2/7*r**2 - l + 8/7*r.
-2*(r - 2)*(r - 1)*(r + 2)/7
Let d(n) be the second derivative of -n**5/16 + 3275*n**4/24 - 2145125*n**3/24 - 6*n + 201. Factor d(y).
-5*y*(y - 655)**2/4
Let a(v) be the second derivative of v**6/4 - 237*v**5/20 + 371*v**4/8 + 87*v**3/2 + 3343*v. Let a(x) = 0. Calculate x.
-2/5, 0, 3, 29
Let b(r) be the second derivative of -4*r**6/285 + 1146*r**5/95 - 4573*r**4/114 + 952*r**3/19 - 571*r**2/19 - 1903*r. Suppose b(k) = 0. What is k?
1/2, 1, 571
Let c(d) be the first derivative of 4/25*d**5 - 31/20*d**4 - 110 - 8/15*d**3 + 0*d + 0*d**2. Solve c(l) = 0.
-1/4, 0, 8
Let q be 0 + -1*26*1. Let b be 65/q*(-12)/10. Factor -28*a - 13*a**3 - 43*a**2 + 13*a**2 + 4*a**b + 16 - 24.
-(a + 2)*(3*a + 2)**2
Let u(m) be the third derivative of m**7/1155 - m**6/66 + 6*m**5/55 - 14*m**4/33 + 32*m**3/33 + 108*m**2. Factor u(b).
2*(b - 4)*(b - 2)**3/11
Let p(j) = -327*j - 654. Let g be p(-2). Solve 8/3 + g*r + 0*r**3 - 10/3*r**2 + 2/3*r**4 = 0 for r.
-2, -1, 1, 2
Let d be 1/7 + (-1881)/(-11970) - 12/40. Factor 1/2*x**3 + d + 23*x**2 + 0*x.
x**2*(x + 46)/2
Let z be 9*4/6 - (-93 - -95). Let o(s) be the first derivative of -16/9*s**3 + 16/9*s**2 - 22 + 0*s - 2/45*s**5 + 1/2*s**z. Find k, given that o(k) = 0.
0, 1, 4
Determine t, given that 0 + 17/2*t**3 - 1/6*t**4 - 95/6*t**2 - 49/2*t = 0.
-1, 0, 3, 49
Let r = 5/4744 + 1769/9488. Let g(w) be the first derivative of 1/6*w**3 + 1/20*w**5 - r*w**4 + 0*w**2 + 0*w + 12. Solve g(z) = 0 for z.
0, 1, 2
Let n(t) be the first derivative of -t**5/45 + 25*t**4/9 - 1250*t**3/9 + 31250*t**2/9 - 17*t - 2. Let f(j) be the first derivative of n(j). Factor f(s).
-4*(s - 25)**3/9
Let s(t) be the third derivative of 0*t - 1/24*t**4 - 1/210*t**7 - 1/20*t**5 + 2 - 1/40*t**6 + 0*t**3 - t**2. Factor s(h).
-h*(h + 1)**3
Let g be (-406)/4*(-20)/7. Factor 2*j - 7*j - g + j**2 + 296.
(j - 3)*(j - 2)
Factor 5/4*l**3 + 85/4*l**2 + 455/4*l + 735/4.
5*(l + 3)*(l + 7)**2/4
Let a be (-6)/(-27) + 272/72. Let h(o) = o**2 + 2*o + 5. Let f(q) = q + 1. Let y(w) = a*f(w) - h(w). Factor y(z).
-(z - 1)**2
Suppose -228 + 36 = -4*r. Let v = 