2 + 0.
b*(b - 2)/6
Solve 281/10*b**2 - 19881/10 + 1/10*b**3 + 19599/10*b = 0.
-141, 1
Suppose -53*v + 35 + 71 = 0. Suppose -3*k = 2*q - 7*q - 5, -4*q = 4. Let 2/3*d**3 + 4/3*d**v + 2/3*d + k = 0. What is d?
-1, 0
Factor -5*r**3 + 9*r**2 - 4*r**4 - 5*r**3 - 1978*r + 136*r**2 - r**4 + 2128*r.
-5*r*(r - 5)*(r + 1)*(r + 6)
Suppose -58*z + 60*z + 24 = -3*w, -24 = z + 3*w. Let z - 6/5*j**3 + 4/5*j**2 + 2/5*j = 0. Calculate j.
-1/3, 0, 1
Find k such that 0 + 52/3*k**3 + 0*k + 158/9*k**2 - 2/9*k**4 = 0.
-1, 0, 79
Let l(v) be the second derivative of v**9/3780 + v**8/1680 + 35*v**4/4 + 73*v. Let d(x) be the third derivative of l(x). Suppose d(p) = 0. Calculate p.
-1, 0
Suppose 5*g - 5*c - 5 = 0, 67*g - 68*g = 4*c - 21. Let b(w) be the second derivative of 0*w**2 + 1/110*w**g + 3*w + 0*w**3 - 1/22*w**4 + 0. Factor b(p).
2*p**2*(p - 3)/11
Let v(y) = y**3 - 44*y**2 - 171*y + 5682. Let i be v(45). Factor -11/3*l**3 + 8*l**2 + 1/3*l**4 + i*l + 0.
l*(l - 6)**2*(l + 1)/3
Let l(d) be the first derivative of -39/2*d**2 + 149 + 0*d - d**3. Factor l(h).
-3*h*(h + 13)
Let o(b) be the first derivative of b**5/20 - 9*b**4/4 - b**3/12 + 9*b**2/2 + 2372. Factor o(u).
u*(u - 36)*(u - 1)*(u + 1)/4
Suppose -200 = -12*x + 7*x. Find k, given that 75*k - x - 66*k**3 - 68*k**3 + 129*k**3 - 30*k**2 = 0.
-8, 1
Let s be ((-8)/27)/((-1)/(-3)*-2). Let h be 25/(900/24)*(-3)/(-9). Determine v so that 2/9 + 4/9*v**3 - 2/9*v + h*v**4 - s*v**2 - 2/9*v**5 = 0.
-1, 1
Let a = 2599617 + -5404603460/2079. Let z = a - -2/297. What is d in z*d**2 - 2/7*d**3 + 2/7*d + 0 - 1/7*d**4 = 0?
-2, -1, 0, 1
Suppose 4*g - 2*p - 206 = 0, 4*p - 115 = -2*g + p. Let j = -51 + g. Determine i so that -30*i - 14*i**2 - 75 + 9*i**2 + 2*i**j = 0.
-5
Let q(n) be the second derivative of -n**7/126 - n**6/15 - n**5/12 + 2*n**4/3 + 2*n**3 - 1879*n. Solve q(r) = 0.
-3, -2, 0, 2
Let b(r) be the first derivative of -8/5*r**3 - 4*r + 1/10*r**4 + 15 + 21/5*r**2. Find m, given that b(m) = 0.
1, 10
Let o be (0 - 1)*-9 - (0 + -1). Suppose 0 = 3*w, -o - 30 = -4*z + w. Let 5*b**2 - 3*b**2 + 4*b**3 - z*b**3 - b**2 = 0. Calculate b.
0, 1/6
Let u(o) be the first derivative of 5*o**4/4 + 110*o**3/3 - 1655*o**2/2 - 1760*o - 2928. What is h in u(h) = 0?
-32, -1, 11
Determine q so that -3/7*q**5 + 0 - q**2 + q**4 - 6/7*q + 9/7*q**3 = 0.
-1, -2/3, 0, 1, 3
Let g be 664/(-21580) + (-278)/(-585). Factor -g*y**2 + 64/9*y - 20/3.
-4*(y - 15)*(y - 1)/9
Let k(t) = -19*t + 362. Let h be k(0). Find q such that 5*q**2 + 910 - h - 310*q + 15*q**3 - 348 = 0.
-5, 2/3, 4
Let b(r) = -2*r**2 + 298*r - 196. Let p(j) = 9*j**2 - 1191*j + 762. Let g(w) = 21*b(w) + 5*p(w). Factor g(n).
3*(n - 1)*(n + 102)
Let w be 18/(-3) - -11 - 3. Suppose -180 - 4*y**3 + 103*y + y**3 - 3*y**3 - 245*y**2 + 71*y + w*y**4 + 207*y**2 = 0. Calculate y.
-5, 2, 3
Suppose 3*h = 4*i - 162, 2*i - 6*h + 2*h - 86 = 0. Suppose 2*l + 63 + i = 4*m, -l - 75 = -3*m. Factor -186 + 144*w**2 - 146*w**2 + 36*w + m.
-2*(w - 9)**2
Suppose -6*p + 142 - 16 = 0. Factor 3 - 2 - 41*w**3 - 6*w**2 + 20*w**3 + 5 + p*w.
-3*(w - 1)*(w + 1)*(7*w + 2)
Factor -36/13 - 118/13*o + 198/13*o**2.
2*(9*o + 2)*(11*o - 9)/13
Suppose -3*l + 4*d - 22 = 0, 29*l = 40*l + 4*d - 50. Let 1/6*z**l - 2/3*z**5 + 13/6*z**3 - 1/2*z**4 + 1/3 - 3/2*z = 0. Calculate z.
-2, -1, 1/4, 1
Let d(g) be the second derivative of 9/20*g**6 + 48*g + 9/10*g**5 + 0*g**3 + 0 + 1/2*g**4 + 0*g**2 + 1/14*g**7. Factor d(n).
3*n**2*(n + 2)**2*(2*n + 1)/2
Let l(u) be the second derivative of -3/8*u**3 + 3/2*u**2 - 1/16*u**4 - 3 + u. Suppose l(h) = 0. What is h?
-4, 1
Let v(d) be the first derivative of d**7/35 - 3*d**6/50 - 6*d**5/25 - 3*d**4/20 + 73*d + 9. Let c(j) be the first derivative of v(j). What is i in c(i) = 0?
-1, -1/2, 0, 3
Let x(k) = -17*k**2 - 127*k - 481. Let p(a) = 14*a**2 + 128*a + 484. Let u(n) = 5*p(n) + 4*x(n). Factor u(t).
2*(t + 4)*(t + 62)
Let j(f) be the second derivative of 5*f**7/147 - 11*f**6/15 - 31*f**5/14 + 47*f**4/6 - 34*f**3/7 + 36*f + 70. Solve j(x) = 0.
-3, 0, 2/5, 1, 17
Suppose 13*y + 2*y - 25*y = -40. Let h be (1*-4)/((-2)/41). Suppose -4 - 234*t**y - h*t**3 - 33*t + 162*t**5 + 245*t**2 - 19*t**2 + 12 - 47*t = 0. Calculate t.
-1, 2/9, 1
Let v(d) be the first derivative of -2*d**5 + 20/3*d**3 + 15/4*d**4 - 10*d - 75 - 15/2*d**2. Determine r so that v(r) = 0.
-1, -1/2, 1, 2
Let y(i) = i**4 - i**3 - i**2 - i. Let l(w) = 9*w**5 + 271*w**4 + 778*w**3 - 463*w**2 - 829*w + 192. Let v(a) = -2*l(a) + 42*y(a). What is x in v(x) = 0?
-24, -4, -1, 2/9, 1
Suppose -3*q = 3, -4*j + 3*q - 118 = -401. Let f be 8/j*25/10. Factor -12/7*b**3 - 24/7*b - f*b**4 - 8/7 - 26/7*b**2.
-2*(b + 1)**2*(b + 2)**2/7
Let a(j) be the first derivative of 7*j**4/8 + 278*j**3/3 - 1199. Solve a(m) = 0.
-556/7, 0
Let z(y) be the second derivative of y**6/200 + 2*y**5/15 + 13*y**4/120 - 9*y**2 - 117*y. Let c(l) be the first derivative of z(l). Let c(d) = 0. What is d?
-13, -1/3, 0
Let r(u) be the first derivative of 11*u**4/16 - 4*u**3 - 39*u**2/8 + 5*u + 2756. Factor r(s).
(s - 5)*(s + 1)*(11*s - 4)/4
Let w be -1 - (2/8 - (-221)/(-68)). Factor -14 + 37 - 33*q**3 - 63*q**3 + 4*q**w - 19 + 64*q**4 + 24*q.
4*(q - 1)**2*(4*q + 1)**2
Let v(g) = -64*g + 85. Let x be v(4). Let o = 517/3 + x. Determine d, given that 2/3*d**2 + o*d**3 - 4/3*d + 0 - 2/3*d**4 = 0.
-1, 0, 1, 2
Suppose -5*b + 4*a + 3 - 1 = 0, 4*b + 2 = 5*a. Let i be -3*(-4)/108*b. Find y such that 0*y - i*y**3 - 2/9*y**2 + 0 = 0.
-1, 0
Let y = -26573 + 26576. Let c(q) be the second derivative of -8*q**y - 11 + 96*q**2 + 3*q + 1/4*q**4. Determine l, given that c(l) = 0.
8
Factor -a**4 + 7 - 30735*a + 3*a**2 - 9*a**2 + 30727*a + 8*a**3.
-(a - 7)*(a - 1)**2*(a + 1)
Factor -4/3*l**4 - 56/3*l**2 - 28/3*l**3 - 32/3*l + 0.
-4*l*(l + 1)*(l + 2)*(l + 4)/3
Determine a, given that -1306/3*a - 868 - 2/3*a**2 = 0.
-651, -2
Find a, given that 900848*a**3 + 0*a**4 - 900688*a**3 + 4*a**4 + 15925 + a**4 + 8960*a + 435*a**2 + 1395*a**2 = 0.
-13, -7, -5
Let p = -16 + 42. Let q = -23 + p. Determine a so that -6*a**q + 4*a + 2*a**2 - 2*a**4 - 12*a**5 + 7*a**5 + 7*a**5 = 0.
-1, 0, 1, 2
Let t(m) = 2*m**2 + m - 4. Let y(w) = -12*w**2 + 1791*w - 403182. Let z(l) = -5*t(l) - y(l). Factor z(n).
2*(n - 449)**2
Let a = -57959/2 + 28980. Find j such that a*j**2 + 15/2*j + 22 = 0.
-11, -4
Let n(z) be the first derivative of 3*z**4/4 + 285*z**3 + 60489*z**2/2 - 61347*z + 2111. Let n(j) = 0. What is j?
-143, 1
Factor 1305049*s**2 - 1304827*s**2 + 144*s - 5*s**3 - 90 - 7*s.
-(s - 45)*(s + 1)*(5*s - 2)
Determine o, given that 204/13*o**3 + 2/13*o**4 + 4778/13*o**2 - 21624/13*o + 22472/13 = 0.
-53, 2
Let q(c) be the first derivative of 0*c**3 + 0*c + 0*c**2 + 46 - 5/22*c**4 - 2/55*c**5. Factor q(v).
-2*v**3*(v + 5)/11
Let z(a) = 2*a - 16. Let b be z(10). Suppose 0 = -b*s + 8. Factor 5*t**2 - 11 + 7*t**s + 4*t - 4*t**4 + 3 - 4*t**3.
-4*(t - 1)**2*(t + 1)*(t + 2)
Let r(x) be the second derivative of x**7/5040 + x**6/1440 - x**4/3 - 5*x**2/2 + 6*x - 6. Let i(j) be the third derivative of r(j). Find o, given that i(o) = 0.
-1, 0
Suppose 5*b = -335 + 310. Let r be (7/(-3))/(10/3625*b). Determine h so that -235/3*h**2 - 50/3*h - r*h**3 - 343/6*h**5 - 4/3 - 490/3*h**4 = 0.
-1, -2/7
Let f(z) be the second derivative of 2*z**7/21 - 2*z**6/15 - 18*z**5/5 - 14*z**4/3 + 34*z**3/3 + 30*z**2 + 1832*z. Determine u so that f(u) = 0.
-3, -1, 1, 5
Let p(s) = 3*s**4 - 6*s**3 - 14*s**2 + 10*s + 15. Let c(n) = 2*n**4 + n**3 + n. Let u(k) = -2*c(k) + p(k). What is d in u(d) = 0?
-5, -3, -1, 1
Let s be -2*(-16)/(-72)*((-7)/4 - -1). Factor s*f**2 - 1/6*f**4 + 2/3*f**3 - 2*f - 3/2.
-(f - 3)**2*(f + 1)**2/6
Let h(c) be the second derivative of -c**6/15 + 423*c**5/10 + 425*c**4/2 + 1277*c**3/3 + 426*c**2 + 522*c + 2. Factor h(l).
-2*(l - 426)*(l + 1)**3
Let t(d) be the first derivative of -d**3 - 648*d**2 - 139968*d - 7435. Suppose t(m) = 0. What is m?
-216
Let m(n) be the first derivative of -n**3/3 + 171*n**2 - 680*n + 972. Solve m(z) = 0 for z.
2, 340
Let v(r) be the third derivative of -5*r**8/336 + r**7/21 + 11*r**6/12 + 4*r**5/3 - 35*r**4/8 - 15*r**3 + 19*r**2 + 19. Let v(m) = 0. What is m?
-3, -1, 1, 6
Let q(t) be the second derivative of -t**4/48 - 5*t**3/24 + 3*t**2 - 2*t + 266. Factor q(d).
-(d - 3)*(d + 8)/4
Let s be ((-9)/(-12))/((-495)/(-