108*t**4. Find g such that z(g) = 0.
-6, -1
Let r = -108752 - -108752. What is j in -8/9*j**2 - 2/3*j + r - 2/9*j**3 = 0?
-3, -1, 0
Suppose -5*d + 2 = 3*c - 4*d, -d = -5*c + 14. Suppose 2*q = -0*b - 3*b + 128, 2*q = b + 144. Let 74 - 24 - q*j + 22*j**c - 9*j**3 + 7*j**3 = 0. What is j?
1, 5
Let t be (-70 - -73)/1*4/66 - 0. Find l such that 32/11*l**3 + t*l**5 + 20/11*l**4 + 0 + 0*l**2 + 0*l = 0.
-8, -2, 0
Let c be ((-54)/12 - -1)*(-10)/7. Factor 2*j**5 + j**c - 3956*j**4 + 3932*j**4.
3*j**4*(j - 8)
Let a(o) be the second derivative of o**5/4 + 425*o**4/2 + 1690*o**3 + 5060*o**2 - 54*o - 13. Factor a(t).
5*(t + 2)**2*(t + 506)
Let p(c) = -18*c**2 - 796*c - 166. Let x(j) = 5*j**2 - 3*j + 1. Let d(v) = 2*p(v) + 20*x(v). Factor d(a).
4*(a - 26)*(16*a + 3)
Let b(q) be the first derivative of -q**5/5 + 793*q**4/4 - 69960*q**3 + 9304416*q**2 - 18399744*q - 1527. Solve b(u) = 0 for u.
1, 264
Suppose -176 + 29*g**5 + 15*g**4 + 203*g - 894*g**2 - 11*g - 30*g**5 + 435*g**2 + 443*g**2 - 44*g**3 = 0. What is g?
-2, 2, 11
Let h(i) = 639*i**2 + 31*i + 19. Let f(n) = 58*n**2 - 1. Let z(x) = 44*f(x) - 4*h(x). Factor z(w).
-4*(w + 1)*(w + 30)
Let y be (15/2)/(150/(-500)). Let q be ((-1)/y)/(10/225). Let 16/5 - 46/5*b + q*b**3 + 6*b**2 = 0. Calculate b.
-8, 2/3
Let r(h) = 22995*h + 68988. Let f be r(-3). Find j such that -2/3*j**f + 0 + 10/3*j**2 - 8/3*j = 0.
0, 1, 4
Let w = -49734 + 5918310/119. Let o = w - -2610/1547. Factor -8/13*i**4 + 2/13*i - o*i**2 + 2/13 + 22/13*i**3.
-2*(i - 1)**3*(4*i + 1)/13
Solve -12089*a**3 + 924*a - 11387*a**2 - 18 - 24649/8*a**4 = 0.
-2, 6/157
Let d be (-86 - 390432/(-4536)) + 56/54*1. Solve 2/9*k**5 + 0*k + 4/3*k**3 + 0 - d*k**4 + 0*k**2 = 0.
0, 2, 3
Let f(x) be the second derivative of x**6/360 - 3*x**5/20 + 17*x**4/24 - 64*x**3/3 - 24*x - 2. Let k(i) be the second derivative of f(i). Factor k(m).
(m - 17)*(m - 1)
Factor -132*w - 2/5*w**2 - 658/5.
-2*(w + 1)*(w + 329)/5
Let u(p) be the third derivative of p**5/15 - 26*p**4 - 6*p**2 + 79*p. Factor u(y).
4*y*(y - 156)
Suppose 0 = 47*q - 24*q - 69. Factor -360*n - 40 - 40 - 285*n**2 - 35 - 13 - 25*n**q + 28.
-5*(n + 1)*(n + 10)*(5*n + 2)
Let d(b) be the third derivative of -5*b**8/336 - 5*b**7/42 + b**6/4 - 241*b**2 - 2. Factor d(g).
-5*g**3*(g - 1)*(g + 6)
Let u = -79676318817122/9135 - -8722092929. Let h = 3/1015 + u. Solve 16/9 + 140/9*x**2 - 50/9*x**3 - h*x = 0 for x.
2/5, 2
Let f = -95908 + 95911. Determine q, given that 22/13*q**4 + 34/13*q**2 - 2/13*q**5 - 80/13*q - 56/13 + 82/13*q**f = 0.
-2, -1, 1, 14
Let v = 110 + -66. Suppose v*k + 7*k - 4*k**2 + 28*k**2 + 45*k + 128 + 2*k**3 = 0. Calculate k.
-4
Let n be (-115)/15 + (12/9)/2. Let b(r) = 43*r + 304. Let z be b(n). Let 1/3*y + y**z + 0 + y**2 + 1/3*y**4 = 0. Calculate y.
-1, 0
Let d be 12*(2 - 3)/(-1). Let w(q) = -q**2 + q + 1. Let m(k) = 5*k**2 - 4*k - 5. Let s be (0 - (6 + -4))/(8/(-12)). Let z(x) = d*w(x) + s*m(x). Factor z(n).
3*(n - 1)*(n + 1)
Determine a, given that 126*a**3 - 248*a**2 - 246*a + 131*a**2 + 18*a**4 - 21*a**4 = 0.
-1, 0, 2, 41
Let g(l) be the first derivative of -l**4 - 20*l**3 + 44*l**2 + 384*l - 6828. Determine p, given that g(p) = 0.
-16, -2, 3
Let y = 253 - 246. Factor y*h**2 + 50*h**3 - 4*h**5 + 42*h**2 + 57*h**4 - 260*h**3.
-h**2*(h - 7)**2*(4*h - 1)
Let i(r) be the second derivative of -1/30*r**5 - 2/3*r**2 - 35*r + 1/3*r**3 + 0*r**4 - 2. Find c such that i(c) = 0.
-2, 1
Let p(k) be the first derivative of -k**7/42 - k**6/3 - 11*k**5/6 - 5*k**4 - 15*k**3/2 - 59*k**2 - 167. Let t(n) be the second derivative of p(n). Factor t(g).
-5*(g + 1)**2*(g + 3)**2
Let n(q) be the third derivative of q**8/840 + 13*q**7/2520 + q**6/120 - 37*q**5/12 + 2*q**2 + 6*q. Let j(p) be the third derivative of n(p). Factor j(z).
2*(3*z + 1)*(4*z + 3)
Let v(j) be the second derivative of 29/20*j**4 - 3/100*j**5 - j - 39/2*j**3 - 135/2*j**2 - 11. Suppose v(n) = 0. What is n?
-1, 15
Let z be 2 + (-12)/((-44)/(-11))*((-1)/3 - 0). Determine i so that 54/11*i**2 - 120/11 + 6/11*i**z - 72/11*i = 0.
-10, -1, 2
Suppose -2*z + 2 = -3*b, 12*b + 2 = 11*b + z. Solve -69 - 46*h + 35 - 14*h + 4*h**b - 102 = 0.
-2, 17
Let h(a) = 7*a**2 - 157*a - 614. Let x(v) = -v**2 + 7*v + 2. Let f(m) = h(m) + 3*x(m). Determine u, given that f(u) = 0.
-4, 38
Factor -220*w**4 + 105*w**5 + 70*w**3 - 17*w**2 - 32*w**3 + 5*w**2 + 2*w**2 + 87*w**3.
5*w**2*(w - 1)**2*(21*w - 2)
Let n(s) be the third derivative of -s**6/204 + 91*s**5/170 - 335*s**4/102 - 104*s**3/17 + 533*s**2. Let n(a) = 0. Calculate a.
-2/5, 3, 52
Let s(n) be the second derivative of -31*n + 4*n**4 + 1/240*n**6 - 1/5*n**5 + 0 - n**3 + 0*n**2. Let i(z) be the second derivative of s(z). Factor i(q).
3*(q - 8)**2/2
Suppose 2*r - 8 = 4*b, 2*b + 24 + 10 = -4*r. Let w be 10 - -12*4/r. Factor 33/2*m + 3 + 27/2*m**w.
3*(m + 1)*(9*m + 2)/2
Let c(t) be the third derivative of 0 + 22*t**2 + 1/240*t**5 + 0*t + 6*t**3 + 1/4*t**4. Factor c(g).
(g + 12)**2/4
Let b(n) be the third derivative of -2*n**2 + 1/35*n**5 + 0*n**3 + 0*n + 1/420*n**6 + 10 + 3/28*n**4. What is h in b(h) = 0?
-3, 0
Suppose 402*m + 603*m - 4020 = 0. Suppose 2/9*v**3 + m*v - 22/9*v**2 + 0 = 0. Calculate v.
0, 2, 9
Suppose 97*o - 160 = 77*o. Let x(y) = 5*y**3 + 54*y**2 - 235*y. Let c(s) = -3*s**3 - 36*s**2 + 157*s. Let g(b) = o*c(b) + 5*x(b). What is l in g(l) = 0?
0, 9
Suppose 376/7 - 377/7*p**2 + 375/7*p - 375/7*p**3 + 1/7*p**4 = 0. Calculate p.
-1, 1, 376
Determine x so that 0*x + 0 + 14/3*x**2 - 19/3*x**3 - x**4 = 0.
-7, 0, 2/3
Factor -52/7*f**3 + 404/7*f**2 + 0 + 96/7*f.
-4*f*(f - 8)*(13*f + 3)/7
Let u(t) be the third derivative of -4/21*t**3 + 0*t + 1/210*t**5 + 23*t**2 + 0 + 0*t**4. What is c in u(c) = 0?
-2, 2
Let f(w) be the second derivative of -w**6/10 + 75*w**5/4 + 381*w**4/4 + 383*w**3/2 + 192*w**2 + 7*w - 43. What is b in f(b) = 0?
-1, 128
Let o = -98753 + 98756. Determine p so that 4/3 + 4/3*p - 1/3*p**o - 1/3*p**2 = 0.
-2, -1, 2
Factor 122*s**2 + 136 + 231403*s**3 + 320 - 231401*s**3 + 464*s.
2*(s + 2)**2*(s + 57)
Let f(y) be the second derivative of -y**6/90 - 9*y**5/10 - 725*y**4/36 + 12*y**3 + 486*y**2 + 322*y. Factor f(x).
-(x - 2)*(x + 2)*(x + 27)**2/3
Let x(i) be the first derivative of -7*i**5/30 - 5*i**4/12 + 2*i**3/3 - 11*i**2/2 - 3*i + 51. Let a(y) be the second derivative of x(y). What is g in a(g) = 0?
-1, 2/7
Let q(k) = -2*k**2 - 2*k + 6. Let w be q(-3). Let o be (-2626)/(-65) + w/(-10). Suppose -o + 41 + 3*b - 3*b**3 + 0*b = 0. Calculate b.
-1, 0, 1
Let q(u) be the second derivative of -u**8/84 + 11*u**6/30 - 6*u**5/5 + 4*u**4/3 - 61*u**2/2 + 177*u. Let b(f) be the first derivative of q(f). Solve b(x) = 0.
-4, 0, 1, 2
Let f(y) be the third derivative of -2*y**2 + 6*y - 1/2*y**3 - 1/120*y**5 - 5/48*y**4 + 0. Factor f(i).
-(i + 2)*(i + 3)/2
Suppose -3*j - 11 = 5*w, j - 4 = w - 5. Let l be (w/(-4))/((-1)/56*-21). Factor 1/3*v**2 - v + l.
(v - 2)*(v - 1)/3
Factor -159201/2 - 1/2*o**2 - 399*o.
-(o + 399)**2/2
Factor -369/5*y - 1/5*y**2 + 74.
-(y - 1)*(y + 370)/5
Let z(q) = 11*q - 13*q**2 - 263 + q + 257 - q**3. Let j be z(-14). Let -20 + 31 - 19 - 20*r**4 + 5*r**5 + 50*r**2 - j - 5*r = 0. What is r?
-1, 1, 2, 3
Let b(t) be the second derivative of 1/54*t**4 - 118/27*t**3 + 3481/9*t**2 - 14 - 2*t. Factor b(d).
2*(d - 59)**2/9
Let w(n) be the second derivative of -5*n**3 - 76*n + 24*n**2 + 1/4*n**4 + 0. Factor w(d).
3*(d - 8)*(d - 2)
Let d(y) be the third derivative of -y**6/600 + 13*y**5/150 - 23*y**4/30 + 44*y**3/15 - 1899*y**2. Determine m, given that d(m) = 0.
2, 22
Let m(s) be the third derivative of s**5/390 - 193*s**4/39 + 148996*s**3/39 - 652*s**2. Suppose m(h) = 0. Calculate h.
386
Factor 5*r**4 - 18391 + 4620*r + 395*r**2 + 6632 + 6859 - 120*r**3.
5*(r - 14)**2*(r - 1)*(r + 5)
Let w = 3/249490 - -249469/1746430. Factor -4/7*y + 4/7 - w*y**2 + 1/7*y**3.
(y - 2)*(y - 1)*(y + 2)/7
Suppose 22*b + 77/6*b**2 + 34/3 + 2*b**3 - 1/6*b**4 = 0. Calculate b.
-2, -1, 17
Let l(x) be the third derivative of x**6/30 - 38*x**5/15 + 25*x**4/6 + 296*x**3 + 6*x**2 + 123. Determine g, given that l(g) = 0.
-3, 4, 37
Let z(d) = -14*d**3 - 50*d**2 - 128*d - 72. Let v(n) = n**3 - n**2 + 2*n + 2. Let r(h) = -10*v(h) - z(h). Factor r(i).
4*(i + 1)**2*(i + 13)
Let s(a) be the first derivative of 5/72*a**4 + 9*a - 11 + 20/3*