, -1
Let u = -340 + 341. Let o(n) = 5*n**2 - 4*n. Let r(f) = f**3 + f**2. Let c(b) = u*r(b) - o(b). Factor c(w).
w*(w - 2)**2
Let z = 6/421 + 2496/2105. Suppose -9*g = -12*g - 3*c + 6, 0 = 3*g + 5*c - 10. Suppose -z*i**2 + g*i + 0 + 3/5*i**3 = 0. Calculate i.
0, 2
Let h = -9 - -14. Suppose 42 = 72*n - 58*n. Find v such that 18*v**2 - 5*v**n - 4*v**2 + 2*v**2 - h*v**4 - 6*v**2 = 0.
-2, 0, 1
Let z(r) be the third derivative of r**5/110 - 129*r**4/22 + 257*r**3/11 + 3807*r**2. Factor z(b).
6*(b - 257)*(b - 1)/11
Let b(g) = 3*g**2 + 5*g - 2. Let f(m) = 2*m**3 - 1614*m**2 + 130*m - 52. Let d(p) = -52*b(p) + 2*f(p). Factor d(t).
4*t**2*(t - 846)
Let x be 40/16*(-3)/15 - (-2)/4. Let k(l) be the second derivative of x*l**2 + 0 - 2/39*l**3 - 8*l - 1/78*l**4. Find r, given that k(r) = 0.
-2, 0
Suppose 0 = 78*u + 171772 - 45880. Let v = 1616 + u. Find x such that -99/4*x**v - 39/4*x**3 - 3/4*x**4 - 15/2 - 93/4*x = 0.
-10, -1
Let l(f) be the first derivative of -f**3/6 + 61*f**2 + 246*f - 12235. Suppose l(w) = 0. What is w?
-2, 246
Suppose 21*v - 26*v - 34*v = 3*v. Factor 0*c + 0 + 1/6*c**5 + v*c**4 + 0*c**2 - 1/6*c**3.
c**3*(c - 1)*(c + 1)/6
Let c = 20/1421 + 5504/12789. Let j(z) be the first derivative of -1/18*z**4 + 1/3*z**2 + 0*z**3 + c*z - 19. Solve j(n) = 0.
-1, 2
Let r be 10 + -3 - (-7 + 11)*1. Let j(m) be the third derivative of 1/40*m**6 + 3/20*m**5 + 0*m + 19*m**2 + 0 - 1/2*m**4 + 0*m**r. Factor j(s).
3*s*(s - 1)*(s + 4)
Suppose -46*l - 8 + 198 + 40 = 0. Factor 0 - 4/5*r**3 - 8/5*r**4 - 4/5*r**l + 0*r + 0*r**2.
-4*r**3*(r + 1)**2/5
Let b(h) be the third derivative of 0*h**3 + 0 - 1/110*h**5 + 0*h - 93*h**2 + h**4. Determine t, given that b(t) = 0.
0, 44
Factor 803*i**3 + 1323*i**2 - 3*i**4 - 407*i**3 + 5145*i - 333*i**3.
-3*i*(i - 35)*(i + 7)**2
Let h(z) be the second derivative of z**6/30 + 31*z**5/10 + 79*z**4/4 + 146*z**3/3 + 58*z**2 - 4955*z. Suppose h(j) = 0. Calculate j.
-58, -2, -1
Let j(o) be the third derivative of -o**9/1008 - o**8/672 + o**7/168 + o**6/72 + 53*o**4/24 + 155*o**2. Let f(p) be the second derivative of j(p). Factor f(r).
-5*r*(r - 1)*(r + 1)*(3*r + 2)
Let c(n) be the third derivative of -n**7/70 - 7*n**6/40 - n**5/10 + 7*n**4/2 + 12*n**3 - 3217*n**2. What is g in c(g) = 0?
-6, -2, -1, 2
Suppose -t + 3942 = 72*t. Suppose -t*m - 19 = -127. Factor -9/4*s - 3/4*s**m + 15/2.
-3*(s - 2)*(s + 5)/4
Let y = 1738 + -15638/9. Let p(u) be the second derivative of -1/9*u**4 + y*u**3 + 13*u + 0 + 0*u**2. Determine r, given that p(r) = 0.
0, 2
Let w(r) be the second derivative of -r**7/147 - r**6/105 + 4*r**5/35 + 2*r**4/7 - 316*r. What is b in w(b) = 0?
-2, 0, 3
Let s(u) be the second derivative of u**2 + 10*u + 1/3*u**3 + 0. Let c(p) = p**2 + 7*p + 6. Let r(o) = 4*c(o) - 14*s(o). Factor r(a).
4*(a - 1)*(a + 1)
What is p in 72/5*p**2 + 676 + 858/5*p + 2/5*p**3 = 0?
-13, -10
Let r be -38*(-1)/10 + 2/10. Factor -3*z**2 + 6*z**2 - 3*z**3 + 0*z**2 + 3*z - 15*z**4 - 21*z**r + 33*z**4.
-3*z*(z - 1)*(z + 1)**2
Factor -89/6*x**2 - 1/6*x**4 - 3*x**3 + 0 - 12*x.
-x*(x + 1)*(x + 8)*(x + 9)/6
Factor 42 + 15/2*o - 3/4*o**2.
-3*(o - 14)*(o + 4)/4
Let o(s) be the third derivative of s**8/1176 - 24*s**7/245 - 299*s**6/420 - 9*s**5/5 - 38*s**4/21 - 2*s**2 + s - 202. Determine t so that o(t) = 0.
-2, -1, 0, 76
Suppose -2*d - 2 = -0*s - s, 3*s - 5*d = 6. Let f be 1/(-6) + (-3)/((-90)/275). Suppose 35*m**s + 27*m**2 - 7*m**4 - f*m**3 - 64*m**2 = 0. What is m?
-1, -2/7, 0
Let v(n) be the third derivative of 0 + 2*n + 7/16*n**4 + n**2 + 61/120*n**5 - 49/6*n**3 + 1/420*n**7 + 1/16*n**6. Factor v(b).
(b - 1)*(b + 2)*(b + 7)**2/2
Factor -c**3 - 2921 - 120*c**2 - 1914*c + 0*c**3 - 617 + 174 - c**3.
-2*(c + 2)*(c + 29)**2
Find z, given that 168*z**2 + 287*z**2 + 30823 - 32631 + z**3 + 1352*z = 0.
-452, -4, 1
Factor 264/7*s + 0 + 2*s**3 - 928/7*s**2.
2*s*(s - 66)*(7*s - 2)/7
Factor -2632/15 + 2/15*u**2 + 32/3*u.
2*(u - 14)*(u + 94)/15
Let m(a) be the third derivative of a**6/480 - a**5/16 + 9*a**4/32 - 13*a**3/24 + 1060*a**2. Solve m(h) = 0.
1, 13
Let u(t) be the third derivative of t**7/1050 - 13*t**6/150 + 173*t**5/100 - 39*t**4/10 - 1443*t**2. Let u(g) = 0. Calculate g.
0, 1, 12, 39
Let r be -8*(855/216 - 4)*0. Let g(i) be the second derivative of i**2 - 1/4*i**3 + r - 1/24*i**4 - 18*i. Suppose g(p) = 0. Calculate p.
-4, 1
Let v(n) be the first derivative of -n**4/3 + 136*n**3/9 + 2*n**2/3 - 136*n/3 - 4452. Factor v(t).
-4*(t - 34)*(t - 1)*(t + 1)/3
Factor -3/4*r**2 + 51/4 - 12*r.
-3*(r - 1)*(r + 17)/4
Let n(t) be the first derivative of -5*t**2 + t**5 + 65 - 5*t + 0*t**3 + 5/2*t**4. Solve n(v) = 0 for v.
-1, 1
Let d(i) = i**3 + i**2 - 1. Let x(p) be the second derivative of -p**5/20 + 85*p**4/12 - 95*p**3/3 + 21*p**2 + 40*p + 1. Let o(g) = -6*d(g) + x(g). Factor o(f).
-(f - 8)*(f - 3)*(7*f - 2)
Let n(b) = -8*b**2 - 945*b - 1972. Let r be n(-116). Suppose 0*p**3 + r - 1/2*p**4 + 3/2*p**2 - p = 0. Calculate p.
-2, 0, 1
Determine w so that 44/13*w + 8/13*w**5 - 86/13*w**2 - 16/13*w**3 + 34/13*w**4 + 16/13 = 0.
-4, -2, -1/4, 1
Let r = 459 - 434. Suppose 20 + 44*d**2 - 11*d**5 + 14*d**5 - 31*d**4 - 74*d + 4*d**5 + d**5 + 74*d**3 - r*d**4 = 0. Calculate d.
-1, 1/2, 2, 5
Let f = -12875 + 12918. Let y(k) be the first derivative of -f - 1/2*k**2 + 2/5*k + 4/15*k**3 - 1/20*k**4. Let y(t) = 0. Calculate t.
1, 2
Let r = -6660 - -6666. Let n(u) be the first derivative of 8*u - r*u**2 + 4/3*u**3 + 13. Factor n(f).
4*(f - 2)*(f - 1)
Let n = -6025 + 6027. Let k(l) be the first derivative of -2/39*l**3 + 6 - 8/13*l**n - 32/13*l. Factor k(u).
-2*(u + 4)**2/13
Let h(t) = -9*t**2 - 48*t + 33. Let y(i) = 19*i**2 + 97*i - 64. Suppose 6*g = -73 + 37. Let j(l) = g*y(l) - 13*h(l). Find x such that j(x) = 0.
-15, 1
Let d be 3 - ((6688/(-399))/(-16) - (-1)/(-3)). Solve d*i**2 + 1/7*i**3 + 0 + 64/7*i = 0 for i.
-8, 0
Let l(x) be the third derivative of x**8/336 - 11*x**6/120 + 3*x**5/10 - x**4/3 - 1982*x**2 - x. Find i such that l(i) = 0.
-4, 0, 1, 2
Let i(c) = c**3 - 28*c**2 - 157*c + 42. Let v be i(-5). Let y(k) be the first derivative of -2 - 6/5*k - 7/5*k**3 + 27/10*k**v. Factor y(p).
-3*(p - 1)*(7*p - 2)/5
Let h(k) be the first derivative of -k**5/36 + 35*k**4/72 - 5*k**3/3 + k**2 + 16*k - 14. Let z(n) be the second derivative of h(n). Factor z(t).
-5*(t - 6)*(t - 1)/3
Let f = 25361/23 + -1102. Let l = f + 293/115. What is h in -8/5*h**4 - 8/5*h**2 - 47/5*h**3 + 13/5*h - 2/5 + l*h**5 = 0?
-1, 1/4, 2
Let n = -499 + 484. Let u be -5*((-48)/10 - 18/n). Suppose 3*c**2 - 1/8*c**3 + 0 - u*c = 0. What is c?
0, 12
Let k(t) be the first derivative of 7*t**6/900 - 23*t**5/300 + t**4/10 - 89*t**3/3 + 32. Let b(m) be the third derivative of k(m). Factor b(f).
2*(f - 3)*(7*f - 2)/5
Let h = 141 - 237. Let f = 99 + h. Factor 4*z**3 + 0*z + 3*z**4 + 30*z + 13 + 14*z**f - 4 + 36*z**2.
3*(z + 1)**3*(z + 3)
Suppose 0 = 5*f + z - 81, -60 = -4*f + 5*z - z. Find u such that -31*u - 28*u**2 - f + 3*u + 5*u - 6*u**3 - 17*u = 0.
-2, -2/3
Let o(y) = 27*y**3 + 3561*y**2 + 59381*y - 390619. Let n(r) = 3*r**3 - 6*r**2 - r - 1. Let d(u) = 6*n(u) + o(u). Factor d(x).
5*(x - 5)*(3*x + 125)**2
Factor 203/4*u + 66 + 2*u**2.
(u + 24)*(8*u + 11)/4
Let i(j) be the second derivative of j**7/126 - 211*j**6/90 + 11443*j**5/60 - 33073*j**4/36 + 16328*j**3/9 - 5408*j**2/3 - j + 191. Find b, given that i(b) = 0.
1, 104
Factor 15/2*r**3 - 120 - 144*r + 27/2*r**2.
3*(r - 4)*(r + 5)*(5*r + 4)/2
Suppose -4*a - 3 = 1. Let k(n) = 14*n**2 - 2. Let p be k(a). Let -t - p*t + 8 - 2*t**2 + t + 6*t = 0. Calculate t.
-4, 1
Let h = -103193 + 103195. Let -1/7*c**3 - 4/7 + 0*c + 3/7*c**h = 0. Calculate c.
-1, 2
Let -88/15*k**4 + 0*k + 0*k**2 - 2/15*k**5 + 184/15*k**3 + 0 = 0. What is k?
-46, 0, 2
Let i(t) be the first derivative of -90 + 1/8*t**2 - 1/24*t**6 - 1/10*t**5 + 0*t**4 + 1/6*t**3 + 0*t. Factor i(c).
-c*(c - 1)*(c + 1)**3/4
Suppose 10 = 5*t - 2*n, -2*t + 6*t + n = 8. Let -6*a**4 - 237*a**2 - 55*a**2 - 188*a**3 - 164*a - 28*a**4 - t*a**4 - 24 = 0. What is a?
-3, -1, -2/9
Let i = 1049/1356 + -78/113. Let z(u) be the second derivative of -1/6*u**3 + 0 + 0*u**2 - i*u**4 - 35*u. Factor z(s).
-s*(s + 1)
Let f(z) be the third derivative of 0*z**3 + 0*z + 0*z**5 - 1/168*z**8 + 0 + 84*z**2 - 1/105*z**7 + 0*z**4 + 0*z**6. Let f(y) = 