5/2 - 42486*a**4 - 24641296*a**3/3 + 24897088*a**2 + 99*a + 3. Let m(n) = 0. Calculate n.
-292, 1
Factor 1/2*q**2 + 229/2*q + 450.
(q + 4)*(q + 225)/2
Let l = 67 + -67. Suppose 0*g - 5*g + 15 = l. Find k such that -3 + 6*k**2 - 2*k**4 + 4*k**2 - 2 - g*k**4 = 0.
-1, 1
Let r(k) be the first derivative of 5*k**4 + 136*k**3 + 1070*k**2 + 792*k + 1237. Factor r(w).
4*(w + 9)*(w + 11)*(5*w + 2)
Suppose 9*u = 11*u - 4. Factor -9*r + 114*r**2 - 44*r**2 + 9*r + 7*r + 32*r**3 + 29*r - u*r**4.
-2*r*(r - 18)*(r + 1)**2
Let n be 154/(-84) - (-15 + 766/60). Find r such that -n*r + 2/5*r**2 + 0 = 0.
0, 1
Let w(h) = 31*h**2 - 39652*h + 49362048. Let g(f) = -4*f**2 + 4956*f - 6170256. Let z(d) = 92*g(d) + 12*w(d). What is t in z(t) = 0?
2484
Solve 10*r**3 - 10*r**2 - 16*r**2 + 8*r**2 - 13*r**3 + 96 = 0 for r.
-4, 2
Let p be (60 - (-940)/(-16)) + (19/20 - (2 + 0)). Factor -2/5*h + p + 1/5*h**2.
(h - 1)**2/5
Let j(z) be the first derivative of z**3/3 - z**2/2 - 2*z - 28. Let q(a) = 5*a**3 + 32*a**2 + 38*a - 4. Let l(h) = -2*j(h) + q(h). Factor l(w).
5*w*(w + 2)*(w + 4)
Factor 632/5 - 4/5*v**3 - 312/5*v**2 + 324/5*v.
-4*(v - 2)*(v + 1)*(v + 79)/5
Suppose 2034*t**3 + 663*t**5 + 403*t**4 - 2667 - 1512*t + 2142*t**2 - 597 - 112*t - 664*t**5 + 310*t**2 = 0. What is t?
-2, 1, 408
Factor -1/3*x**2 + 3*x + 112/3.
-(x - 16)*(x + 7)/3
Let s(w) be the first derivative of -10*w**2 - 4/3*w**3 - 12*w + w**4 - 2. Factor s(o).
4*(o - 3)*(o + 1)**2
Factor 1/2*y**3 - 2500 + 1150*y + 49*y**2.
(y - 2)*(y + 50)**2/2
Find i, given that 6914*i**3 - 6918*i**3 + 701*i**2 - 296*i - 401*i**2 = 0.
0, 1, 74
Let t = -21618 - -21622. Let v(p) be the second derivative of 12*p + 1/15*p**6 - 4*p**2 - 1/2*p**5 + 0 + 5/3*p**3 + 1/2*p**t. Suppose v(b) = 0. Calculate b.
-1, 1, 4
What is m in 132 + 40/3*m**2 - 1/3*m**3 - 81*m = 0?
3, 4, 33
Let x be (-10 + (47120/(-60))/(-62))*(-9)/(-4). Factor -22/7*g**2 - x*g + 4/7.
-2*(g + 2)*(11*g - 1)/7
Let v be -1 - -1 - 6/(-25)*(-50 - -55). Factor v*w**4 + 0*w + 4/5*w**2 + 0 - 14/5*w**3.
2*w**2*(w - 2)*(3*w - 1)/5
Let h(a) be the second derivative of 4*a**6/75 - 9*a**5/100 + a**4/60 - 4147*a. Find u, given that h(u) = 0.
0, 1/8, 1
Suppose 65*d = 62*d + 6. Let w(u) = u**2 - 2. Let z be w(-2). Factor 2 + 5 - 1 - o**z - 3 + d*o.
-(o - 3)*(o + 1)
Let k be (-2 - 75/(-36))/((-6)/(-126)*14). Suppose -1/8*h**2 - 1/4*h - k = 0. What is h?
-1
Let u(f) = -933*f + 1 + 932*f + 0 + f**3. Let n(x) = -x**4 + 8*x**3 - 6*x + 6. Let p(q) = -n(q) + 6*u(q). Factor p(d).
d**3*(d - 2)
Let w be ((-2)/(-9) - 4*(-64)/144)/(60/11094). Solve 86/5*m + 1/5*m**2 + w = 0.
-43
Let w(j) be the first derivative of -j**4/18 + 44*j**3/27 + 100*j**2/9 + 208*j/9 + 575. Factor w(a).
-2*(a - 26)*(a + 2)**2/9
Let o be (-2550)/210 - (-171 - -11)/10. Factor -27/7*p**3 - 3/7*p**4 + 0 + o*p + 3/7*p**2.
-3*p*(p - 1)*(p + 1)*(p + 9)/7
Let l(i) = -2*i - 4*i**2 - 10 + 16*i - 27*i**3 + 19*i**3. Let a(f) = -9*f**3 - 6*f**2 + 15*f - 12. Let t(g) = -5*a(g) + 6*l(g). Factor t(n).
-3*n*(n - 3)*(n + 1)
Suppose 0 = -73*k - 86 + 86. Let i(s) be the third derivative of k*s + 0 - 1/36*s**4 - 1/9*s**3 + 15*s**2 - 1/360*s**5. What is b in i(b) = 0?
-2
Let v = 149386 - 149386. Let g = -2 - -5. Factor -1/3*j**2 + g*j + v.
-j*(j - 9)/3
Factor 5/3*k**2 - 935/3 + 310*k.
5*(k - 1)*(k + 187)/3
Let m(o) be the first derivative of -o**4/4 - 11*o**3/3 - 17*o**2 - 24*o + 1668. Find d such that m(d) = 0.
-6, -4, -1
Suppose -1460*j + 3280 = -1100. Factor -145/2*b**2 + 88*b + 1/2*b**5 + 19/2*b**j + 13/2*b**4 - 32.
(b - 1)**3*(b + 8)**2/2
Let x(g) = -13*g**3 - 17*g**2 - 297*g + 137. Let b(c) = 3*c**3 + 4*c**2 + 71*c - 34. Let q(r) = 17*b(r) + 4*x(r). Solve q(u) = 0.
-5, 2, 3
Let m(g) be the second derivative of g**4/6 - 2*g**3 - 65*g**2/2 + 192*g. Let w be m(-4). Factor -w*j - 1 - 225/4*j**2.
-(15*j + 2)**2/4
Let t(h) = -5*h**3 - 27*h**2 - 14*h - 7. Let g(j) = 7*j**3 + 41*j**2 + 21*j + 11. Let o = -225 + 149. Let m = o - -84. Let a(b) = m*t(b) + 5*g(b). Factor a(f).
-(f + 1)**2*(5*f + 1)
Let g(v) be the second derivative of v**5/60 + 52*v**4 + 292655*v**3/6 + 874225*v**2/3 + 2231*v. Solve g(k) = 0.
-935, -2
Let c(t) be the third derivative of t**8/13440 - t**7/672 - t**6/80 + t**5/60 + 7*t**3 + 135*t**2. Let y(g) be the third derivative of c(g). Factor y(n).
3*(n - 6)*(n + 1)/2
Let g be 3/6*(2 - (7 + -6)). Let n(u) be the first derivative of 0*u - g*u**4 + 2/5*u**5 + 1 + u**2 - 2/3*u**3. Let n(l) = 0. Calculate l.
-1, 0, 1
Let h(c) be the first derivative of -c**6/3 - 21*c**5/5 - 21*c**4/4 + 184*c**3/3 - 42*c**2 - 719. Solve h(a) = 0.
-7, -6, 0, 1/2, 2
Suppose -11*f + 13*f = 34*f. Factor -4*k**2 + 2/3*k**3 + 0 + 2/3*k**4 + f*k.
2*k**2*(k - 2)*(k + 3)/3
Let p(t) be the first derivative of -t**4/4 + t**3/3 + 6*t**2 + 975. Solve p(u) = 0.
-3, 0, 4
Let z(m) be the first derivative of 4 - 28/33*m**3 + 0*m + 24/11*m**2 + 1/22*m**4. Factor z(a).
2*a*(a - 12)*(a - 2)/11
Let x be (-289)/(-3)*((-20553)/(-52))/31. Factor x + 867/4*f + 1/4*f**3 + 51/4*f**2.
(f + 17)**3/4
Let h(u) be the second derivative of -1/30*u**5 - u + 17/3*u**3 - 40 + 4/3*u**4 + 26/3*u**2. Factor h(b).
-2*(b - 26)*(b + 1)**2/3
Let h(c) be the second derivative of -c**7/252 - c**6/15 - 23*c**5/60 - 5*c**4/6 - 25*c**3/36 - 5*c + 1. Factor h(n).
-n*(n + 1)**2*(n + 5)**2/6
Suppose -337 = -3*h - 2*h - 4*b, 0 = 4*h + 3*b - 270. Factor 174 + 5*k**2 - 54*k + 3*k**2 + h - 5*k**2.
3*(k - 9)**2
Let r(d) = 41*d - 395. Let f be r(11). Suppose n = -3*p + 83 - f, 4*p - n - 43 = 0. Find o, given that 0 - p*o - 49/2*o**4 - 72*o**2 - 273/2*o**3 = 0.
-5, -2/7, 0
Let h be -14*(-13 - 4216/(-357)). What is a in h + 5/3*a**3 + 35*a + 20*a**2 = 0?
-10, -1
Let l(m) = -8*m + 41. Let n be l(-5). Let -243 + 44*s - 8*s - s**2 - n = 0. What is s?
18
Let d be (-1 + 6/9)*-333. Suppose 0*j + d = 2*j - c, 4*j - c - 219 = 0. Factor -3*u**2 - j*u + 3 + 6*u**2 + 48*u.
3*(u - 1)**2
Let v(k) = 904*k - 62371. Let t be v(69). Find u, given that -5*u**3 + 4*u - 40/3*u**2 - 7/3*u**t + 10*u**4 + 0 = 0.
-1, 0, 2/7, 2, 3
Let 1/2*j**2 - 133 + 131/2*j = 0. What is j?
-133, 2
Let q be 5 + 4/(-4)*-1. Factor -2168*x**3 - 5*x - 14 + 2172*x**3 + x + q + 8*x**2.
4*(x - 1)*(x + 1)*(x + 2)
Suppose -6*p - 3*p + 9 = 0. Let w(n) = -n**3 - n**2 + n. Let f(q) = -2*q**4 - 8*q**3 + 8*q. Let y(i) = p*f(i) - 2*w(i). Factor y(l).
-2*l*(l - 1)*(l + 1)*(l + 3)
Let f be 6/(-8) - (-114)/24. Suppose 141*h**3 - 80*h + 3*h**f - 181*h**3 + 2*h**4 + 100*h**2 = 0. What is h?
0, 2, 4
Factor -39/2*s**2 - 1/2*s**3 + 0*s + 0.
-s**2*(s + 39)/2
Let j(y) = -4*y**5 + 18*y**3 + 4*y**2 + 4*y. Let z(q) = -q**5 + 2*q**2 + 2*q. Let f(s) = -j(s) + 2*z(s). Suppose f(r) = 0. Calculate r.
-3, 0, 3
Factor -118/23*h - 120/23 + 2/23*h**2.
2*(h - 60)*(h + 1)/23
Let i be 12 + (5 - 8) + -3. Find c such that -2*c**5 + 5*c**2 + 62*c**3 + c**4 - 10*c - i*c**4 + 20*c**3 - 67*c**3 - 3*c**5 = 0.
-2, -1, 0, 1
Suppose -8*t - 4 = -10*t. Let a = 6 - t. Factor -6*f - a*f - 5*f**2 - 2*f + 2*f**2.
-3*f*(f + 4)
Let x(q) be the third derivative of -q**7/2100 + q**5/75 + 4*q**3 - 3*q**2 - 4*q. Let y(j) be the first derivative of x(j). Suppose y(v) = 0. What is v?
-2, 0, 2
Factor 0 + 0*u - 2/5*u**4 + 6/5*u**2 + 4/5*u**3.
-2*u**2*(u - 3)*(u + 1)/5
Let o(k) be the first derivative of -k**3/8 + 117*k**2/8 + 72. Let o(g) = 0. What is g?
0, 78
Let y(r) be the third derivative of 1/120*r**5 - 1/16*r**4 + 0*r - 36*r**2 + 1/6*r**3 + 0. Suppose y(h) = 0. Calculate h.
1, 2
Let l(k) be the second derivative of k**7/105 - 18*k**6/25 + 103*k**5/50 + 9*k**4/5 - 104*k**3/15 - 920*k + 1. Find m, given that l(m) = 0.
-1, 0, 1, 2, 52
Let k be (3*28/14)/((-20)/128 + 1). Factor -16 + 4/9*l**2 + k*l.
4*(l - 2)*(l + 18)/9
Let q = 541 - 481. Factor -29*o - 1764 - o**2 + 53*o + q*o.
-(o - 42)**2
Solve -19*k**3 + 40*k - 7*k**3 - 240 - 269808*k**5 - 36*k**3 + 265*k**2 - 25*k**4 + 269813*k**5 + 17*k**3 = 0 for k.
-3, -1, 1, 4
Let g(h) = 47*h**2 + 176*h - 169. Let q(k) = -777*k**2 - 2817*k + 2703. Let i(u) = -33*g(u) - 2*q(u). Suppose i(o) = 0. Calculate o.
1, 57
Let t(k) be the third derivative of 0 + 1/120*k**5 - 1/2*k**4 + 0*k + 23/12*k**3 + 58*k**2. Suppose t(r) = 0. Calculate r.
1, 23
Let v(n) = 22*n**3 - n**2 - n + 1. Let j(g) = -g**4 + 48*g**3 + 25*g**2 + 36*g + 18. Let p(o) = j(o) - 2*v(o). Factor p(b).
-