 5*p**3 - 1080*p + 531*p**2 = 0.
0, 1, 216
Let r(f) be the third derivative of -f**8/1008 - 4*f**7/315 + 161*f**6/360 + 133*f**5/45 + 5*f**4/18 - 352*f**3/9 - 537*f**2 - f. Suppose r(b) = 0. What is b?
-16, -2, 1, 11
Let r(x) be the third derivative of 0*x + 0*x**3 - 34*x**2 - 19/12*x**6 + 105/8*x**4 + 2 - 2/7*x**7 - 5/336*x**8 - x**5. Solve r(p) = 0 for p.
-7, -3, 0, 1
Let n = 2831 - 1246. Factor 484 + n*f**2 - 5*f**5 + 47*f**4 - 1016*f**3 + 4*f**5 - 1496*f + 397*f**3.
-(f - 22)**2*(f - 1)**3
Let n be 180/(-15)*(-147)/(-6). Let h be 18/231*73 - n/(-539). Solve -162/7*q + 0 + h*q**2 - 2/7*q**3 = 0.
0, 9
Let f = 12171/2 - 6085. Let h(g) be the first derivative of -5 + 2/3*g**3 - 2/5*g**5 + g**2 + 0*g - f*g**4. Factor h(a).
-2*a*(a - 1)*(a + 1)**2
Let f(c) = -c**2 + 14. Let q(b) = 280*b**2 + 270*b - 88. Let d(s) = -6*f(s) - q(s). Factor d(j).
-2*(j + 1)*(137*j - 2)
Let d(k) be the second derivative of k**6/60 - k**5/6 + 2*k**4/3 - 4*k**3/3 + 55*k**2/2 + 74*k. Let q(s) be the first derivative of d(s). Factor q(r).
2*(r - 2)**2*(r - 1)
Let x(s) be the second derivative of s**4/6 - 17*s**3/6 - 9*s**2/2 + 2891*s. Determine u so that x(u) = 0.
-1/2, 9
Let x(t) be the first derivative of -2*t**3/63 + 34*t**2/7 - 202*t/21 - 1297. Suppose x(z) = 0. What is z?
1, 101
Let j be (-56)/(-36) - (-89)/((-25632)/448). Factor -2/7*h - 2/7*h**4 - 6/7*h**3 + j - 6/7*h**2.
-2*h*(h + 1)**3/7
Let r(q) = -49*q**2 + 1. Let k be r(3). Let s be (24/14)/((-60)/k). Factor -s*a**2 - 36/7 + 2*a**3 + 150/7*a.
2*(a - 3)**2*(7*a - 2)/7
Let j(a) = 47*a**3 + 1221*a**2 - 65*a - 1010. Let u be j(-26). What is o in 86/3*o**3 + 92/3 + 274/3*o - 2/3*o**u + 90*o**2 = 0?
-1, 46
Let a(k) be the second derivative of k**7/735 - k**5/210 + 33*k**2 + 2*k + 8. Let r(v) be the first derivative of a(v). Solve r(c) = 0.
-1, 0, 1
Let o(m) be the third derivative of 2*m**7/315 + 47*m**6/180 + 263*m**5/90 - 14*m**4/3 - 16*m**3 - 12182*m**2. Determine c, given that o(c) = 0.
-12, -1/2, 1
Let i = 11338/755 - 818/151. Factor 7/2*x + i*x**2 - 18/5*x**3 + 3/10.
-(x - 3)*(6*x + 1)**2/10
Let g(q) be the first derivative of 0*q**2 + 0*q**3 + 0*q + 2/85*q**5 + 4 + 3/17*q**4. What is j in g(j) = 0?
-6, 0
Let w(c) be the first derivative of -148*c**3/3 + 400*c**2/3 + 176*c/3 - 6642. Solve w(s) = 0.
-22/111, 2
Suppose -7*j = -369 + 169 + 179. Let l(y) be the second derivative of -31*y + 0 - 1/42*y**4 - 2/7*y**2 + 1/7*y**j. Factor l(p).
-2*(p - 2)*(p - 1)/7
Let c(y) = -13*y**2 + 11*y - 21. Let r be c(6). Let w = r - -423. Find m, given that -3/5*m**5 + w + 0*m**2 + 9/5*m**4 + 0*m - 6/5*m**3 = 0.
0, 1, 2
Factor 1173*a**3 - 536*a + 62*a**2 + 832 + 1026*a**3 - 2200*a**3.
-(a - 52)*(a - 8)*(a - 2)
Let -645*t**2 + 354*t**2 + 279*t**2 + 15*t**3 - 3*t = 0. What is t?
-1/5, 0, 1
Suppose 3*u = -0*u + 4*c + 6, c = u - 2. Factor -v**2 + 0*v + 2*v + 4*v**2 - v**u + v - v**3.
-v*(v - 3)*(v + 1)
Let j(h) be the first derivative of -h**3/5 - 423*h**2/5 - 843*h/5 - 5690. Factor j(t).
-3*(t + 1)*(t + 281)/5
Let n(z) be the third derivative of 1/120*z**6 + 0*z**4 + 1/210*z**7 + 0*z**3 - 97*z**2 + 0*z**5 + 0 + 1/1344*z**8 + 0*z. Find q such that n(q) = 0.
-2, 0
Let s = 47 - 40. Factor -23*u**3 + 44*u**3 - 11*u**3 + 12 - 21*u - s*u**3 + 6*u**2.
3*(u - 1)**2*(u + 4)
Let i be (-4)/6 + (0 - 64/(-24)). Factor 1662*t - 10*t**3 - 1638*t - 4*t**i - 4*t**4 - 6*t**3.
-4*t*(t - 1)*(t + 2)*(t + 3)
Let y(f) = f**2 - 5366*f - 5372. Let u(p) = -2682*p - 2685. Let t(r) = 5*u(r) - 3*y(r). Factor t(q).
-3*(q - 897)*(q + 1)
Let p(z) be the third derivative of z**5/90 + 35*z**4 + 44100*z**3 + 1145*z**2. Find u such that p(u) = 0.
-630
Let v(d) be the second derivative of d**7/168 + 19*d**6/60 + 97*d**5/16 + 553*d**4/12 + 147*d**3/2 - 2*d + 29. Let v(f) = 0. Calculate f.
-14, -9, -1, 0
Suppose 3*l - 2*b = -4, -2*l - b + 7 + 2 = 0. Let w be 612/(-119) + l/14 + 8. Solve 7*q**4 + 6*q**2 - 1 + 3/2*q**5 + 11*q**w - 1/2*q = 0 for q.
-2, -1, 1/3
Let k(t) be the first derivative of -2*t**5/45 + 5*t**4/2 + 188*t**3/27 + 624. Solve k(a) = 0 for a.
-2, 0, 47
Let m be 20*(21/6)/7. Suppose -5*k - m = -f, f - 3*f - 8 = 4*k. Find d, given that 2*d**2 - d**2 + 2*d**2 - 9*d + f*d**2 = 0.
0, 3
Let c = 8665/6 - 25991/18. Factor 0*y - c*y**2 + 2.
-2*(y - 3)*(y + 3)/9
Let -21/2*k**3 + 3/2*k**4 - 303/2*k**2 - 270 - 819/2*k = 0. Calculate k.
-4, -3, -1, 15
Let j(t) be the second derivative of 1/24*t**4 + 0 - 46*t + 0*t**2 - 3/4*t**3 + 9/40*t**5 - 1/60*t**6. Factor j(r).
-r*(r - 9)*(r - 1)*(r + 1)/2
Let a(v) be the second derivative of 2/27*v**3 - 3 + 9*v + 1/54*v**4 + 1/9*v**2. Determine n so that a(n) = 0.
-1
What is g in -780/7*g + 32/7*g**3 + 46/7 + 702/7*g**2 = 0?
-23, 1/16, 1
Suppose 5*s - 3*w = s + 13, -4 = -4*w. Solve -9*u**5 - 22*u**3 - 6*u**4 - 6*u**s - 12*u**3 + 37*u**3 + 6*u**2 = 0.
-1, 0, 2/3
Let c(l) be the first derivative of -25*l**6/21 + 58*l**5/7 + 48*l**4/7 - 880*l**3/21 + 272*l**2/7 - 96*l/7 + 494. Find j such that c(j) = 0.
-2, 2/5, 1, 6
Determine b, given that -2*b**3 + 12/7*b + 2/7*b**5 + 10/7*b**4 + 0 - 10/7*b**2 = 0.
-6, -1, 0, 1
Suppose -8 = 9*g - 10*g. Suppose -10*z = -g*z - 6. Determine c, given that -5*c**z + 26 - 17*c**2 - 6 + 2*c**2 = 0.
-2, 1
Factor -100/9*n + 0 + 10*n**2 - 8/3*n**3 + 2/9*n**4.
2*n*(n - 5)**2*(n - 2)/9
Let d(t) be the first derivative of 31 - 3/14*t**4 + 9/14*t**2 - 2/7*t**3 - 1/14*t**6 - 3/7*t + 9/35*t**5. Factor d(f).
-3*(f - 1)**4*(f + 1)/7
Let y(w) be the first derivative of -w**3/3 + 1010*w**2 - 1020100*w - 3334. Determine i, given that y(i) = 0.
1010
Let x(b) = 5*b**3 + 11*b**2 + 4*b - 40. Let r(m) = 15*m**3 + 33*m**2 + 18*m - 119. Let v(o) = 4*r(o) - 13*x(o). Find g such that v(g) = 0.
-11/5, -2, 2
Let v(r) = -8*r**2 + 17*r + 3. Let p = -157 - -86. Let s = -74 - p. Let g(m) = -65*m**2 + 135*m + 25. Let o(h) = s*g(h) + 25*v(h). Factor o(n).
-5*n*(n - 4)
Let o(f) = -62*f + 11537. Let d be o(186). Find z, given that -2/3*z**d - 2/3*z**4 - 4/3*z + 0 + 2/3*z**2 + 2*z**3 = 0.
-2, -1, 0, 1
Let d(m) be the first derivative of -8*m**6/3 - 412*m**5/5 - 466*m**4 - 308*m**3/3 + 1700*m**2 - 800*m + 4630. Determine q so that d(q) = 0.
-20, -5, -2, 1/4, 1
Let i(p) be the second derivative of p**5/190 - 423*p**4/19 + 715716*p**3/19 - 605495736*p**2/19 + 2161*p. Determine u so that i(u) = 0.
846
Let q(s) = -3*s**4 - 1. Let b(z) = -20*z**4 + 1164*z**3 + 2325*z**2 + 1162*z - 7. Let y(o) = -b(o) + 7*q(o). Factor y(a).
-a*(a + 1)**2*(a + 1162)
Let z(g) = 2*g + 16. Let y be z(-8). Suppose y = 5*d - x - 13, -5*x + 3 = 3*d - 4*x. Factor -12 + 3*l**4 + 9*l**d - 9*l**3 - 9*l**3 + 2*l**3 + 4*l**3 + 12*l.
3*(l - 2)**2*(l - 1)*(l + 1)
Let h(o) = -1789*o - 59033. Let y be h(-33). Factor y*d**3 + 2/3*d**4 - 2/3*d**5 + 0*d + 0 + 0*d**2.
-2*d**3*(d - 3)*(d + 2)/3
Factor -9*s**2 - 365*s + 166*s + 24 + 149*s.
-(s + 6)*(9*s - 4)
Let f(g) be the third derivative of -8/3*g**4 - 4/15*g**5 - 1/90*g**6 + 0 + 0*g - 3*g**2 - 5/6*g**3. Let v(h) be the first derivative of f(h). Factor v(n).
-4*(n + 4)**2
Let m(b) be the second derivative of -b**5/130 - b**4/6 - 2*b**3/3 + 40*b**2/13 + 2417*b - 1. Suppose m(y) = 0. Calculate y.
-10, -4, 1
Let y(u) = 3*u - 72. Suppose -175*q + 185*q - 240 = 0. Let a be y(q). Factor a - 3/5*c**4 - 24/5*c**2 + 3*c**3 + 12/5*c.
-3*c*(c - 2)**2*(c - 1)/5
Let g(w) be the first derivative of -77/26*w**4 + 2/65*w**5 - 2704*w + 100*w**3 + 158 - 1196*w**2. Find i, given that g(i) = 0.
-1, 26
Let f(h) = 2*h**4 - h**3 + h**2 + 2*h + 1. Let g(b) = 5*b**5 + 33*b**4 - 99*b**3 - 141*b**2 + 218*b + 4. Let w(v) = -4*f(v) + g(v). Find k such that w(k) = 0.
-7, -2, 0, 1, 3
Let t = -5774 + 5777. Let a = -71/6 + 12. Factor -1/3*w - a*w**4 + 1/6 + 1/3*w**t + 0*w**2.
-(w - 1)**3*(w + 1)/6
Let x be (-171)/19*4/(-18). Solve 100*m**4 + m**3 + 96*m**4 - m + m**x - 197*m**4 = 0 for m.
-1, 0, 1
Find c such that 2/7*c**5 + 0*c**2 + 0*c + 0 - 292/7*c**4 + 0*c**3 = 0.
0, 146
Factor 7921/4 + 89/2*x + 1/4*x**2.
(x + 89)**2/4
Let d(k) be the third derivative of -k**9/7560 + k**8/3360 + k**7/1260 - k**6/360 - 57*k**4/8 - 30*k**2. Let w(a) be the second derivative of d(a). Factor w(m).
-2*m*(m - 1)**2*(m + 1)
Let s = 59839 - 59821. Solve 0 - 4*g**4 + s*g**3 + 1/3*g**5 + 27*g - 36*g**2 = 0 for g.
0, 3
Factor -1/4*b**2 - 35/4 - 3*b.
-(b + 5)*(b + 7)/4
Let g(z) = 2*