4 + 8*s**3 = 0. Calculate s.
-1, 0, 3
Factor -4/7*p**3 + 0 - 2/7*p**4 + 0*p**2 + 2/7*p**5 + 0*p.
2*p**3*(p - 2)*(p + 1)/7
Factor -38*z**3 + 148*z + 5*z**4 + 1172*z + 343*z**3 - 1630*z**2.
5*z*(z - 4)*(z - 1)*(z + 66)
Let l(k) be the third derivative of 0 + 5*k + 1/80*k**5 - 19/48*k**4 - 3*k**2 + k**3. What is r in l(r) = 0?
2/3, 12
Let f = 596 - 554. Factor 0 + 5 + 18 - 20*g**2 + 30*g + f*g**4 - 30*g**3 - 47*g**4 + 2.
-5*(g - 1)*(g + 1)**2*(g + 5)
Let w(n) = -n**2 + 9*n - 2. Let x be w(6). Let l be (-1)/(-2*4/x). Find q, given that -10*q + 17*q - l*q - 5*q**3 = 0.
-1, 0, 1
Let w(n) be the third derivative of -n**7/1680 + 7*n**5/480 + n**4/32 + 5*n**2 + 59. Suppose w(o) = 0. Calculate o.
-2, -1, 0, 3
Factor -1/6*k**2 - 23 - 71/6*k.
-(k + 2)*(k + 69)/6
Let b(h) be the first derivative of -h**3/3 + 215*h**2/2 + 1784*h + 13797. Solve b(k) = 0.
-8, 223
Let r(v) be the third derivative of -19*v**7/315 - 16*v**6/15 - 191*v**5/90 - v**4/2 - 1590*v**2. What is z in r(z) = 0?
-9, -1, -2/19, 0
Suppose -2*q = -58 - 10. Suppose q = 5*t - 266. Factor 22 + t*b + 55*b**2 - 14 + 49*b**3 + 71*b**2.
(b + 2)*(7*b + 2)**2
Let t(x) be the first derivative of 19*x**5/5 - 17*x**4/4 - 26*x**3 + 34*x**2 + 8*x - 8111. Solve t(g) = 0 for g.
-2, -2/19, 1, 2
Let q(t) be the third derivative of 0 - t**2 + 1/12*t**6 - 1/210*t**7 + 14*t - 5/12*t**4 - 2/5*t**5 + 25/6*t**3. Factor q(x).
-(x - 5)**2*(x - 1)*(x + 1)
Let z(v) be the first derivative of 0*v**2 + 56 - 5/3*v**3 + 5*v. Find u such that z(u) = 0.
-1, 1
Factor -4*u**2 + 218*u + 3*u**2 - 67607 + 55726.
-(u - 109)**2
Suppose 5*g + 1304 = -r - 622, -5*r - 5 = 0. Let w be (3/(21/(-5)))/(110/g). Let -15 + 5/2*x**2 - w*x = 0. What is x?
-2, 3
Let a(o) = -30*o**3 + 1735*o**2 - 154880*o - 125. Let b(h) = -h**3 - h**2 - 5. Let m(i) = a(i) - 25*b(i). Factor m(y).
-5*y*(y - 176)**2
Suppose -5*n - 45 = -3*w, -4*w - 7 + 51 = -4*n. Let y be 0 + (n/(-18))/(1/9). What is o in -3*o**2 - 5*o**3 - 2*o**4 + 3*o**3 - 2*o**y + o**2 = 0?
-1, 0
Let r(q) be the first derivative of 0*q**2 - 5 - 1/5*q**4 + 2/25*q**5 + 0*q + 1/15*q**6 + 0*q**3. Determine h, given that r(h) = 0.
-2, 0, 1
Let s(v) be the first derivative of -4*v**3/3 - 20*v**2 + 716. Factor s(d).
-4*d*(d + 10)
Let i = -197720 - -197720. Let 0 + 2/3*n**4 - 8/3*n**3 - 8*n**2 + i*n = 0. Calculate n.
-2, 0, 6
Let k(t) = -118*t**4 - 662*t**3 - 88*t**2 + 12. Let c(l) = -116*l**4 - 662*l**3 - 87*l**2 + 15. Let j(q) = 4*c(q) - 5*k(q). Factor j(a).
2*a**2*(7*a + 1)*(9*a + 46)
Let t(z) be the first derivative of 4000*z + 173 + 1490*z**5 - 7760/3*z**3 + 6600*z**2 - 9090*z**4 - 125/2*z**6. What is p in t(p) = 0?
-2/5, 2/3, 10
Let t(c) be the second derivative of c**4/54 - 17*c**3/9 - 3*c + 79. Find o, given that t(o) = 0.
0, 51
Let h be 6/21 + (-3)/(21/(-250)). Suppose 9*j = h - 0. Factor 5*i**2 - 8*i + j + 12 - 4*i**2 + 0*i**2.
(i - 4)**2
Let w = -12931 - -12943. Let b(m) be the first derivative of -16 + w*m - 3/4*m**4 - 3*m**3 + 0*m**2. Suppose b(k) = 0. Calculate k.
-2, 1
Factor 0 - 3*l**3 - 2*l - 25/2*l**2.
-l*(l + 4)*(6*l + 1)/2
Let q be 1/(-2) + (-284)/8. Let p = q - -38. Find z, given that -20 - 18*z + 8*z - 2*z**p - 3*z**2 - 10*z = 0.
-2
Let j = 9 - 4. Let x be -1 + 0 + 171/(-7) + 26. Factor 0*k + x*k**3 + 0*k**2 + 6/7*k**4 + 0 + 2/7*k**j.
2*k**3*(k + 1)*(k + 2)/7
Suppose -5*z - 2*r + 23 = -27, -20 = -2*z + 5*r. Suppose -1260 = -z*n + 4*n. Factor 4*k**3 - 206*k - 4*k**2 + 3*k**3 + n*k - 6*k**3.
k*(k - 2)**2
Let f(s) be the second derivative of -s**7/98 - 9*s**6/70 + 69*s**5/140 + 9*s**4/28 - 11*s**3/7 + 3*s + 147. Let f(t) = 0. Calculate t.
-11, -1, 0, 1, 2
Let f(t) = -2*t**3 + 12*t**2 - 2*t + 15. Let p be f(6). Let o(n) be the first derivative of 35/2*n**2 + 5/3*n**p + 32 + 0*n. Factor o(m).
5*m*(m + 7)
Suppose 0 = 32*w - 35*w + 204. Suppose -w = -7*f - 68. Suppose f + 0*t + 4/9*t**2 - 2/9*t**3 - 4/9*t**4 + 2/9*t**5 = 0. What is t?
-1, 0, 1, 2
Let v(d) = -d**3 - 6*d**2 + d - 9. Let b be v(-7). Let r = 37 - b. Let 5*f**r - 66*f**3 - f**4 - 4*f**2 + 66*f**3 = 0. What is f?
-1, 0, 1
Let k(t) = -3*t**2 + 54*t + 249. Suppose 0 = 2*c + 7*l - 3*l + 8, 3*l = -c - 9. Let b(j) = -4*j**2 + 54*j + 250. Let n(f) = c*b(f) - 7*k(f). Factor n(i).
-3*(i + 9)**2
Let j(z) = 26*z - 50. Let c be j(2). Factor -261 + 496*v - 261*v - 5*v**c + 31.
-5*(v - 46)*(v - 1)
Let a(s) = -s**3 - 28*s**2 - 39*s + 340. Let c be a(-26). Factor -610/13*z**c + 50/13*z**3 - 512/13*z - 8.
2*(z - 13)*(5*z + 2)**2/13
Factor -656*i**4 - 331553*i - 36256*i**3 - 694656*i**2 - 4*i**5 - 910993*i + 262770*i + 5038848.
-4*(i - 2)*(i + 4)*(i + 54)**3
Factor 6/5*s**5 + 672/5*s**3 + 0 + 0*s + 0*s**2 - 192/5*s**4.
6*s**3*(s - 28)*(s - 4)/5
Let q(o) be the third derivative of 2*o**7/105 - o**5/15 + 481*o**2 + 2*o - 3. Factor q(i).
4*i**2*(i - 1)*(i + 1)
Let z(a) = -2*a + 18. Suppose -g - w = -0*g - 10, 0 = -5*g + 2*w + 29. Let s be z(g). Factor v**s + 3*v**2 - 6*v + 20*v**3 - 6*v**3 - 4*v**4 - 8*v**3.
-3*v*(v - 2)*(v - 1)*(v + 1)
Let t(d) = 2*d**2 + d - 41. Let c be t(-5). Find w such that 49732 - 49732 - 572*w**2 - 676*w + 100*w**3 - 4*w**c = 0.
-1, 0, 13
Let p(t) be the second derivative of 5*t**4/36 + 115*t**3/9 - 245*t**2/2 - 775*t. Factor p(a).
5*(a - 3)*(a + 49)/3
Suppose -16*m = -51 - 173. Suppose m*o = -7*o - 4*o. What is j in -1/2*j + o + 3/4*j**3 + 1/4*j**2 - 1/4*j**5 - 1/4*j**4 = 0?
-2, -1, 0, 1
Factor 106*a**2 + 101*a**2 + 104*a**2 - 198 + 380*a - 306*a**2 - 187.
5*(a - 1)*(a + 77)
Suppose -340*b + 323*b + 663 = 0. Suppose b*v - 44 - 34 = 0. Factor 9/4 - 37/4*m + 31/4*m**v - 3/4*m**3.
-(m - 9)*(m - 1)*(3*m - 1)/4
Let u be 9 + -4 - (-6330)/(-5486). Let 36/13*k - u*k**2 + 0 + 2/13*k**4 + 12/13*k**3 = 0. Calculate k.
-9, 0, 1, 2
Let o(x) be the first derivative of -x**8/840 + x**6/90 - x**4/12 - 2*x**3/3 + 59*x**2/2 + 52. Let f(i) be the third derivative of o(i). Solve f(v) = 0 for v.
-1, 1
Let n(i) be the second derivative of -2 - 1/3*i**4 + 81*i - 28/3*i**3 + 0*i**2. Solve n(x) = 0.
-14, 0
Let t be -84 + 86 - ((-35)/(-4))/7. Let m(j) be the first derivative of 4/3*j**3 + 20 - 7/15*j**5 + 2/3*j**2 + 0*j - t*j**4. Factor m(u).
-u*(u - 1)*(u + 2)*(7*u + 2)/3
Let w(f) be the third derivative of -f**6/660 + 94*f**5/165 + 768*f**2. Factor w(n).
-2*n**2*(n - 188)/11
Let f be ((-18)/120)/(50/(-125)). Factor f*h**3 + 1/4*h**2 + 0 + 1/8*h**4 + 0*h.
h**2*(h + 1)*(h + 2)/8
Let r be ((-1980)/40)/33*5/(45/(-24)). Factor 0 - 4/13*m**3 - 2/13*m**r + 8/13*m**2 + 16/13*m.
-2*m*(m - 2)*(m + 2)**2/13
Let q(l) = l**2 + 11*l - 1. Let v(d) = d**2 + 11*d. Let o(i) = -3*q(i) + 4*v(i). Let w be o(-11). Factor 18*u**2 + u**4 - 2*u**w + 48*u - 28*u + 3 + 9*u**3 + 5.
(u + 1)*(u + 2)**3
Factor -2/3*l**2 - 32/3*l - 110/3.
-2*(l + 5)*(l + 11)/3
Let t(s) = -9*s**2 - 9*s. Let x(r) = -2*r**2 - 2*r. Suppose -57*u + 86*u - 485 - 211 = 0. Suppose 11 = -2*h + 1. Let g(a) = h*t(a) + u*x(a). Factor g(f).
-3*f*(f + 1)
Let z(j) be the first derivative of -126*j**2 + 173 - 3/5*j**5 - 61*j**3 - 108*j - 21/2*j**4. Find y, given that z(y) = 0.
-6, -1
Let t(p) be the first derivative of -p**6/30 + 6*p**5/25 + 4*p**4/5 + 292. Factor t(z).
-z**3*(z - 8)*(z + 2)/5
Let l(x) = 13*x**2 + 42*x + 62. Let m(k) = -37*k**2 - 124*k - 185. Let g = -682 + 665. Let c(o) = g*l(o) - 6*m(o). Factor c(a).
(a + 2)*(a + 28)
Suppose -2*b + 5*y - 73 = 0, -4*b - y - 116 = -5*y. Let i be 12/(-96) + (-3)/b. Find n such that 0*n**2 + 1/7*n**3 - 1/7*n**5 + 0*n + 0 + i*n**4 = 0.
-1, 0, 1
Let s = 57102 + -57100. Determine p so that 1/5*p**s + 2*p + 5 = 0.
-5
Let v(q) be the first derivative of 5*q**6/39 + 4*q**5/65 - 25*q**4/26 - 20*q**3/39 + 20*q**2/13 + 16*q/13 + 312. Let v(m) = 0. What is m?
-2, -1, -2/5, 1, 2
Let i = 4644747 + -32447805/7. Let p = -9330 + i. Let p*x**4 + 0 + 0*x**3 + 0*x - 8*x**5 - 8/7*x**2 = 0. What is x?
-1/4, 0, 2/7, 2
Let l = 55 - -675. Let n = l + -727. Solve 4/15 - 4/15*u**2 + 2/15*u**n - 2/15*u = 0.
-1, 1, 2
Let v(r) be the first derivative of -1/3*r**6 + 50 - 6*r**4 + 17/3*r**3 + 0*r - 2*r**2 + 13/5*r**5. Find u, given that v(u) = 0.
0, 1/2, 1, 4
Let n be -4 - 2/1*(-56)/16. Factor -96*w**5 + 95*w**5 + 4*w**3 + 6*w**4 - n*w**4.
-w**3*(w - 4)*(w + 1)
Let c(g) be the first derivative of -2*g**3/51 + 946*g**2/17 - 447458*g/17 - 292. Let c(h) = 0. What is h?
473
Suppose 0 = 5*j