 1/2*x**4 + 3/2*x**3 = 0. What is x?
-3, 0
Let l(d) be the second derivative of 0*d**2 - 29 + 2*d - 1/54*d**4 + 4/27*d**3. Factor l(a).
-2*a*(a - 4)/9
Let u(l) = -l + 1. Let z(n) = -29*n**2 + 154*n - 161. Let d(i) = 315*i**2 - 1695*i + 1770. Let v(r) = 6*d(r) + 65*z(r). Let w(b) = 15*u(b) + v(b). Factor w(c).
5*(c - 34)*(c - 1)
Determine t, given that 6*t**3 - 410 + 1422678*t**2 - 1424313*t**2 - 2049*t - 2*t**3 = 0.
-1, -1/4, 410
Let q be 138*1/(-3)*(-18)/4. Let w be 2/(-5) - -4*q/1620. Factor 0 + w*l**3 + 0*l + 0*l**2.
l**3/9
Suppose 292*o - 338*o + 92 = 0. Let -1/6*x**3 - 11/6*x**o - 13/2*x - 15/2 = 0. What is x?
-5, -3
Let s = -158 - -163. Suppose 3*p - s*k = -2*k + 6, 5*k = 4*p - 10. Factor -2/5*d**2 + 0*d - 4/5*d**4 - 6/5*d**3 + p.
-2*d**2*(d + 1)*(2*d + 1)/5
Let a = -61231/4 - -428713/28. Factor -6/7*u - a + 3/7*u**2.
3*(u - 4)*(u + 2)/7
Let a(c) be the second derivative of c**8/26880 + 17*c**7/10080 + c**6/180 + 16*c**4/3 - c**3/3 + 10*c. Let x(s) be the third derivative of a(s). Factor x(u).
u*(u + 1)*(u + 16)/4
Let x(q) be the third derivative of q**5/40 + 89*q**4/96 - 31*q**3/12 - 2*q**2 - 70*q. Determine t, given that x(t) = 0.
-31/2, 2/3
Let g(c) be the second derivative of c**5/10 + 17*c**4/3 - 77*c**3 + 360*c**2 - 9*c - 80. Suppose g(i) = 0. Calculate i.
-40, 3
Factor -1552/3*p**2 - 1/3*p**3 + 402486 - 200207*p.
-(p - 2)*(p + 777)**2/3
Suppose 450 = -18*d + 1116. Suppose 0 = 8*x - d - 11. Solve 16*a - x*a**2 + 2/3*a**3 - 32/3 = 0.
1, 4
Let w be ((-3)/(-1) + -2)/(14696/2672). Factor 0*d - 4/11*d**3 + 16/11*d**2 + 0 - w*d**4.
-2*d**2*(d - 2)*(d + 4)/11
Let y = 922 - 922. Suppose y = -8*c + 24. Factor 0 + 2/11*u**4 + 0*u**2 + 0*u**c + 0*u.
2*u**4/11
Suppose -8*t - 3*t + 165 = 0. Let 124 - t*s**2 - 18*s - s**2 - 136 - 10*s = 0. Calculate s.
-1, -3/4
Let b = -474 - -479. Suppose -2*m = -4*n, -5*m = -7*m - b*n + 9. Factor -2/7*v**m - 2/7 + 4/7*v.
-2*(v - 1)**2/7
Factor 2/9*b**2 - 68*b + 610/9.
2*(b - 305)*(b - 1)/9
Let d(s) = 3*s**4 - 12*s**3 - 36*s**2 - 36*s - 9. Let l be (-4)/(-20) + (-16)/(-20). Let c(z) = 2*z**4 + 2*z**3 - 2*z. Let g(v) = l*d(v) - 3*c(v). Factor g(o).
-3*(o + 1)**3*(o + 3)
Let c(o) = -o**3 - 274*o**2 + 7778*o - 72588. Let a(d) = -3*d**3 - 276*d**2 + 7779*d - 72594. Let k(u) = 2*a(u) - 3*c(u). Factor k(w).
-3*(w - 42)*(w - 24)**2
Let s(r) be the third derivative of -r**7/420 - 2*r**6/45 + 19*r**5/60 - 5*r**4/6 + 13*r**3/2 + 11*r**2. Let i(f) be the first derivative of s(f). Factor i(b).
-2*(b - 1)**2*(b + 10)
Let w be 1814/(-27210)*(1*-3 + 1). Let v(p) be the third derivative of 0*p + 7*p**2 + 0 + w*p**3 - 1/15*p**4 + 1/75*p**5. Solve v(b) = 0 for b.
1
Let m(r) be the third derivative of 0 - 1/300*r**6 - 7/150*r**5 + 219*r**2 + 0*r + 7/15*r**3 + 1/60*r**4. What is a in m(a) = 0?
-7, -1, 1
Let u be 6/(-14) + 31212/(-476) + 68. Factor -2/9*w**u - 10/9*w + 0.
-2*w*(w + 5)/9
Let -3408/13*b - 302/13*b**2 - 10008/13 - 2/13*b**3 = 0. Calculate b.
-139, -6
Let q(t) = 9*t**2 - 361*t - 738. Let k(b) = -12*b**2 + 481*b + 984. Let x(l) = -10*k(l) - 13*q(l). Determine u so that x(u) = 0.
-2, 41
Let g be 0/17*(-53)/212. Factor -10/3*t**2 - 8/3*t**3 - 2/3*t**4 - 4/3*t + g.
-2*t*(t + 1)**2*(t + 2)/3
Let q(g) = 379*g - 2272. Let i be q(6). Factor 5/2*m + 0 - 5/2*m**3 + 0*m**i.
-5*m*(m - 1)*(m + 1)/2
Let t = -3 + 5. Factor o**3 + o**3 + 4 - o**2 - 3*o**t + 2*o**2 - 2*o**2 - 2*o.
2*(o - 2)*(o - 1)*(o + 1)
Let b(l) = -l**3 + 20*l**2 + 8*l - 161. Let w be b(20). Let x be (10 - 10/1)*w. Factor x - 1/8*a + 1/8*a**3 + 0*a**2.
a*(a - 1)*(a + 1)/8
Let q(b) be the second derivative of -b**5/30 - 25*b**4/9 + b**3/9 + 50*b**2/3 - 3254*b - 2. Factor q(a).
-2*(a - 1)*(a + 1)*(a + 50)/3
Let s(b) = 116*b**3 - 89*b**2 + 346*b + 459. Let o(q) = -5*q**3 - q**2 - q - 1. Let j(p) = 69*o(p) + 3*s(p). Determine d so that j(d) = 0.
-1, 4, 109
Suppose 329*n - 11340 = -238*n. Factor -5/2*u**4 - 55*u**2 - n*u**3 - 60*u - 45/2.
-5*(u + 1)**2*(u + 3)**2/2
Let m(j) be the first derivative of j**5/15 - 15*j**4/4 - 191*j**3/9 - 81*j**2/2 - 98*j/3 + 2402. Determine o, given that m(o) = 0.
-2, -1, 49
Let z(f) = 3*f**4 + 23*f**3 + 95*f**2 + 125*f + 50. Let a(d) = 2*d**4 + d**3 + d. Let l(n) = 2*a(n) - z(n). What is x in l(x) = 0?
-2, -1, 25
Let v be 1906/120 + -15 - (-15)/(-18). Let f(t) be the second derivative of 1/75*t**6 + 5*t + v*t**4 + 0 + 1/30*t**3 - 1/10*t**2 - 1/20*t**5. Factor f(j).
(j - 1)**3*(2*j + 1)/5
Let j(r) = -3*r**4 + 30*r**3 - 105*r**2 - 30*r + 96. Let g(m) = 8*m**4 - 92*m**3 + 314*m**2 + 92*m - 288. Let v(i) = -6*g(i) - 17*j(i). Let v(d) = 0. What is d?
-16, -1, 1, 2
Let c(y) be the second derivative of y**4/3 - 62*y**3/3 + 396*y**2 - y - 1585. What is d in c(d) = 0?
9, 22
Suppose 99 + 29 = 145*u - 162. Let l(y) be the second derivative of 3/4*y**4 + 4*y + 1/30*y**6 + 0 + 7/6*y**3 + y**u + 1/4*y**5. Factor l(m).
(m + 1)**3*(m + 2)
Factor 7162/17*c**4 - 6800283722/17*c - 2/17*c**5 - 8553812/17*c**3 + 3395872114/17 + 3412958260/17*c**2.
-2*(c - 1193)**3*(c - 1)**2/17
Find d, given that 5*d**2 - 9009 + 9969 + 0*d**2 + 335*d = 0.
-64, -3
Suppose 3*a = 2*c - 15, -12*c + 16*c + 5*a = -3. Suppose c*h = -3 + 9. Suppose 1/7*l + 1/7*l**4 + 0 - 1/7*l**h - 1/7*l**3 = 0. What is l?
-1, 0, 1
Let r be (-5)/2*24/(-5). Suppose 3*n + 3 = r. Factor f**n - 31*f - 90*f**2 + 7*f - 22*f**3.
-3*f*(f + 4)*(7*f + 2)
Let f = 118 + -116. Factor -259*b - 3 + 265*b - 3 + f - 2*b**2.
-2*(b - 2)*(b - 1)
Let -210*f - 126*f + 2*f**4 + 165*f**3 + 87*f**2 + f**4 - 261*f**2 = 0. Calculate f.
-56, -1, 0, 2
Let q(c) = -c**2 + 85*c - 203. Let o be q(80). Suppose -6 = -2*h - 2. Solve -198*i**2 + 392*i**2 - o*i**h + 6*i - 3*i**3 = 0.
-2, 0, 1
Determine x, given that -36*x + 520/7 - 4/7*x**2 = 0.
-65, 2
Let t(v) be the second derivative of -v**5/140 + 25*v**4/42 - 7*v**3/6 + 10602*v. Factor t(h).
-h*(h - 49)*(h - 1)/7
Factor 62/9*u**2 + 56/9*u + 0 - 2/9*u**4 + 4/9*u**3.
-2*u*(u - 7)*(u + 1)*(u + 4)/9
Let v be 0/(-14 - (1 + -11)). Let h(p) be the third derivative of 0 + 1/390*p**5 + 1/390*p**6 + v*p - 1/39*p**4 - 1/13*p**3 + 6*p**2. Solve h(y) = 0.
-1, 3/2
Factor -145/3*v**2 - 25/6*v**3 - 841/6*v + 0.
-v*(5*v + 29)**2/6
Let 4/7*k**2 + 0*k - 2/7 + 0*k**3 - 2/7*k**4 = 0. What is k?
-1, 1
Let r = 2194 + -1454. Suppose r - 738 = p. Factor -j + 0 - 1/4*j**3 - j**p.
-j*(j + 2)**2/4
Let y(z) be the second derivative of z**8/480 + z**7/420 - z**6/20 + 2*z**5/15 + 35*z**4/6 + 62*z. Let c(f) be the third derivative of y(f). Factor c(u).
2*(u - 1)*(u + 2)*(7*u - 4)
Let h be (6/63)/(((-2)/(-10))/((-387)/2150))*-7. Suppose -9/5*d**2 + h*d**3 - 3/5 + 9/5*d = 0. Calculate d.
1
Let h(t) be the third derivative of t**7/735 - 3*t**6/70 + t**5/2 - 7*t**4/3 + t**2 - 1381*t. Let h(j) = 0. What is j?
0, 4, 7
Suppose 77*a - 110 = -341. Let x be a/1*((-10150)/336)/29. Find y, given that -1/8*y**4 + 0 + 0*y - x*y**2 + 5/4*y**3 = 0.
0, 5
Let v be (-2 - (-3)/1)/(1/5). Let 3*p**v - 15*p**4 - 20*p**3 + p**5 + p**5 = 0. What is p?
-1, 0, 4
Let s be 77 + -77 + (3 + 0)*-3 + 11. Solve 0 + 1/4*y - 1/4*y**s = 0 for y.
0, 1
Factor -3*q**2 + 0 - 80*q + 1/8*q**3.
q*(q - 40)*(q + 16)/8
Let c(k) be the second derivative of -k**4/6 - 175*k**3/3 - 174*k**2 + 302*k - 2. Factor c(y).
-2*(y + 1)*(y + 174)
Let a(v) = 11*v**2 - 71*v + 72. Let c(x) = 61*x**2 - 355*x + 360. Let r(w) = 33*a(w) - 6*c(w). Factor r(k).
-3*(k - 1)*(k + 72)
Suppose 5*r - 3*r - 4 = 0. Factor 122*b + 36 - 181*b**2 - 26*b + 7*b**r - 123*b**2.
-3*(9*b + 2)*(11*b - 6)
Let b(l) be the second derivative of 94*l - 6*l**2 - 3/4*l**3 + 0 - 3/80*l**5 + 9/16*l**4. Find z, given that b(z) = 0.
-1, 2, 8
Let c(v) = -2*v**3 - 15*v**2 - 10*v - 16. Let w be c(-7). Let q = -2 - -4. Factor -w*j - j**3 - 3*j**2 - 2 + 3*j**2 + 2*j**2 - 6*j**q.
-(j + 1)**2*(j + 2)
Let n(t) be the second derivative of t**7/168 - t**6/40 + t**5/80 + t**4/16 - t**3/12 - 497*t - 1. Find r such that n(r) = 0.
-1, 0, 1, 2
Let y be ((-1580)/474)/(-2 + (-12)/(-16)). What is p in 0 + 0*p**4 - y*p**3 + 4/3*p**5 + 4/3*p + 0*p**2 = 0?
-1, 0, 1
Find t such that -226*t**4 + 162 - 12*t**2 - 2*t**5 - 8*t**3 + 10*t - 162 + 238*t**4 = 0.
-1, 0, 1, 5
Let x(o) = -2*o**2 + 87*o - 1058. Let b(t) = t**2 - 44*t + 530. Let r(p) = 5*b(p) + 2*x(p). Let y(f) = 1. Let w(g) = 2*r(g) - 10*y(g). Factor w(v).
2*(v - 23)**2
Let 