at -752/5*x - 35344/5 - 4/5*x**2 = 0.
-94
Let w be 1/(-2)*7*(-56)/49. Factor 4 + 20*y**2 + 2*y + 23*y + 3*y + 8 + w*y**3.
4*(y + 1)**2*(y + 3)
Let l(z) = -31*z**2 + 1397*z + 10. Let w(q) = 40*q**2 - 1862*q - 13. Let s(g) = -13*l(g) - 10*w(g). Factor s(d).
3*d*(d + 153)
Let o be -3*(-45)/(-27) + 6. Let r(p) = 6*p**2 - 6*p + 4. Let x be r(o). Solve -1/2*q**2 + 0*q**3 + 1/4 + 0*q + 1/4*q**x = 0.
-1, 1
Factor 2/7*p**3 - 2/7*p - 26*p**2 + 26.
2*(p - 91)*(p - 1)*(p + 1)/7
Let l(f) be the second derivative of 0 - 4/21*f**3 + 1/2*f**2 - 13/84*f**4 + 1/70*f**5 + 79*f. Determine b so that l(b) = 0.
-1, 1/2, 7
Let l(z) be the first derivative of 4*z**5/45 - z**4/3 + 4*z**3/27 + 2*z**2/3 - 8*z/9 + 2794. Find y, given that l(y) = 0.
-1, 1, 2
Let v be -8 - ((-112)/10 - (17 - 20)). Let k(c) be the first derivative of v*c**2 + 2/5*c**3 - 1/10*c**4 + 3 - 6/5*c. Find f, given that k(f) = 0.
-1, 1, 3
Let a(l) = -3*l**3 - 259*l**2 + 278*l + 36. Let i(s) = -3*s**3 - 261*s**2 + 276*s + 27. Let c(d) = 3*a(d) - 4*i(d). What is j in c(j) = 0?
-90, 0, 1
Let l(q) be the third derivative of q**8/112 - 2*q**7/7 + 117*q**6/40 - 97*q**5/10 - 17*q**4/2 + 132*q**3 + q**2 + 641*q. Suppose l(x) = 0. What is x?
-1, 2, 6, 11
Let w(r) be the first derivative of 2*r**5/55 - r**4/22 - 26*r**3/33 + r**2/11 + 24*r/11 + 1063. Solve w(a) = 0 for a.
-3, -1, 1, 4
Let v(p) be the first derivative of -p**4/42 + 3*p**3/7 - 8*p**2/7 + 184*p + 169. Let k(i) be the first derivative of v(i). Solve k(t) = 0 for t.
1, 8
Let k(m) be the first derivative of m**5/12 + 5*m**4/6 + 5*m**3/2 + 7*m**2/2 + 3*m + 155. Let y(b) be the second derivative of k(b). Factor y(f).
5*(f + 1)*(f + 3)
Suppose -9043*k - 225 = -9118*k. Factor -27/5*n**k + 0 - 18/5*n**4 - 3/5*n**5 + 0*n**2 + 0*n.
-3*n**3*(n + 3)**2/5
Let k(t) = 23*t**3 + 5*t**2 + 4*t - 2. Let h be k(-1). Let m be (2/27)/((-4)/h). Factor -2/9*j**3 - 4/9*j**2 + m + 2/9*j.
-2*(j - 1)*(j + 1)*(j + 2)/9
Find n, given that -304/7*n - 4/7*n**3 - 44*n**2 + 0 = 0.
-76, -1, 0
Suppose 1316 = 3121*b - 2792*b. What is s in -10/3*s + 0 + b*s**2 - 2/3*s**3 = 0?
0, 1, 5
Let h(m) = m**2 + 16*m + 37. Let b(i) = i + 3. Let u(a) = 2*b(a) - h(a). Let d be u(-11). Find v such that 2/9*v + 1/9*v**d + 1/9 = 0.
-1
Let h be -2 + (6 - 0) - (957 - -137). Let c = 1092 + h. Determine k so that 0 + 0*k**c + 0*k - 3/8*k**3 - 3/8*k**4 = 0.
-1, 0
Suppose -527*j + 924*j + 430 = 483*j. Solve 0 + 148/7*n**4 - 8*n - 148/7*n**2 + 36/7*n**3 + 20/7*n**j = 0.
-7, -1, -2/5, 0, 1
Let l be (6/(-5))/(40/(-1200)). Factor 4*u + l*u**2 + 4*u**3 - 30*u**2 + u**4 + u - u + 1.
(u + 1)**4
Let f(l) be the second derivative of 7*l**6/6 + 9*l**5/4 + 5*l**4/6 + 344*l - 13. Factor f(m).
5*m**2*(m + 1)*(7*m + 2)
Find b such that 40/3*b + 0 + 152/9*b**2 + 22/9*b**3 = 0.
-6, -10/11, 0
Determine r, given that -18/7*r**2 + 0 + 18/7*r**4 - 4*r + 2/7*r**5 + 26/7*r**3 = 0.
-7, -2, -1, 0, 1
Let x(l) = 4 + 3*l**2 - l**2 - 5*l + 2*l**3 - 3*l. Let s(o) = -2*o**3 - o**2 + 7*o - 4. Let t be 592/(-96) - (-21)/18. Let j(f) = t*x(f) - 6*s(f). Factor j(g).
2*(g - 2)*(g - 1)*(g + 1)
Let s = -2282142/7 - -326026. Factor -2/7*u**2 - s + 24/7*u.
-2*(u - 10)*(u - 2)/7
Solve 162/5 - 3/5*i**3 + 156/5*i**2 + 321/5*i = 0 for i.
-1, 54
Let w(s) be the third derivative of -s**2 + 0 - 5/6*s**3 - 20*s + 1/12*s**5 + 5/24*s**4 - 1/24*s**6. Let w(c) = 0. Calculate c.
-1, 1
Suppose 9*l + 6 = 11*l. Suppose 26*m - 32*m + 100 - 16*m**2 + 16*m + 2*m**l = 0. What is m?
-2, 5
Let b(d) = -d + 2. Let f be b(0). Suppose 2*z - 16 = 2*m + 2*m, 0 = 5*z - 5*m - 25. Factor i**3 + z*i**f + 7 - 7.
i**2*(i + 2)
Suppose 4*m - 3*x + x - 12 = 0, 90 = 3*m + 12*x. What is v in 0 + m*v + 2/3*v**5 + 8*v**2 - 8/3*v**4 - 4/3*v**3 = 0?
-1, 0, 3
Factor -3404*u**3 + 253*u**2 + 25*u + 4*u**4 + 3496*u**3 + 59*u - 81*u**2.
4*u*(u + 1)**2*(u + 21)
Let n = 6812 - 6798. Let j(o) be the third derivative of -1/9*o**3 + 0*o**6 - 1/45*o**5 + n*o**2 + 1/945*o**7 + 2/27*o**4 + 0*o + 0. Factor j(d).
2*(d - 1)**3*(d + 3)/9
Let h(a) be the second derivative of -185*a + 0*a**2 + 0 + 1/18*a**4 + 1/30*a**5 + 0*a**3. Factor h(s).
2*s**2*(s + 1)/3
Suppose -3*f + 23 = 4*u, -21 = -3*f + 2*u + 8. Let g = 1568 + -1566. Find h such that -80*h**g + 35*h**4 - 14*h**3 - 29*h - 11*h**3 + f*h = 0.
-1, -2/7, 0, 2
Factor 92/5*y**3 + 0 + 0*y - 144/5*y**2 + 12/5*y**4.
4*y**2*(y + 9)*(3*y - 4)/5
Let m(g) = -8*g - 1. Suppose 3*v = -3*c - 6, 0*v - 2*v - 1 = 5*c. Let a(z) = -z**2 - z - 1. Let h(x) = v*m(x) + 3*a(x). What is j in h(j) = 0?
0, 7
Suppose -5*z - 4*q = 264, -q - 164 = 2*z + z. Let o be (-15)/(-28) - (-16)/z. Let 1/2*m - 1/4*m**2 - o = 0. Calculate m.
1
Let i(b) = -b**2 - 56*b - 39. Let r(f) = 9*f + 1. Let h(g) = 3*i(g) + 6*r(g). Find u, given that h(u) = 0.
-37, -1
Let l(m) = -792*m**5 - 1548*m**4 + 44*m**3 - 28*m**2 - 28. Let o(p) = 88*p**5 + 172*p**4 - 5*p**3 + 3*p**2 + 3. Let h(g) = -3*l(g) - 28*o(g). Solve h(q) = 0.
-2, 0, 1/22
Let t(k) be the first derivative of 0*k**3 + 0*k**2 - 31 - 1/8*k**4 + 0*k. Factor t(r).
-r**3/2
Let v(m) = 2*m**2 - 10*m - 12. Let t be v(7). Let l(a) = -4*a - 1. Let r be l(-1). Factor 5*h**2 - 28 + 4*h**r - 10 - t*h + 3*h**2 + 6.
4*(h - 2)*(h + 2)**2
Let g(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p**5 + 1/105*p**7 + 1/1008*p**8 - 15*p**2 + 1/72*p**6 + 0*p - 1. Let g(a) = 0. Calculate a.
-5, -1, 0
Let n(f) be the third derivative of 1/150*f**5 - 1/20*f**3 - 1/120*f**4 + 0*f + 4*f**2 - 1/2100*f**7 + 3 + 1/600*f**6. Factor n(h).
-(h - 3)*(h - 1)*(h + 1)**2/10
Let v(w) = -6*w**2 - 69*w - 33. Let r(q) = -6*q**2 - 67*q - 32. Let f(g) = -6*g**2 - 44*g + 27. Let u be f(-8). Let a(j) = u*v(j) + 6*r(j). Factor a(m).
-3*(m + 9)*(2*m + 1)
Let n(c) = -22*c**3 - 4502*c**2 + 56*c + 4570. Let o(t) = -4*t**3 - 750*t**2 + 10*t + 762. Let v(p) = -6*n(p) + 34*o(p). What is a in v(a) = 0?
-1, 1, 378
Suppose 0 = -3021223*o + 3021265*o. Factor 7/2*v**2 - 1/2*v**3 + o - 3*v.
-v*(v - 6)*(v - 1)/2
Let x(y) be the third derivative of y**8/70560 - 11*y**7/4410 + 121*y**6/630 + 11*y**5/20 + 8*y**2. Let w(n) be the third derivative of x(n). Factor w(c).
2*(c - 22)**2/7
Let k be -37 - (-36 + 224/(-56)). Let 0 + 4/7*s**5 + 4/7*s**2 - 4/7*s**4 + 0*s - 4/7*s**k = 0. Calculate s.
-1, 0, 1
Let g = -1106399/48 + 23050. Let a(o) be the third derivative of g*o**5 - 33*o**2 + 0*o - 5/6*o**3 + 5/32*o**4 + 0. Factor a(m).
5*(m - 1)*(m + 4)/4
Let t(j) be the third derivative of 8*j**7/21 - 71*j**6/3 + 275*j**5/4 - 1535*j**4/24 + 85*j**3/3 - 6*j**2 + j + 28. Find u, given that t(u) = 0.
1/4, 1, 34
Let a = -585 + 2534. Suppose 494 = -4*v + 8290. Factor 0*k**3 + 12*k**3 - 12*k**2 - v - 3*k**4 + a.
-3*k**2*(k - 2)**2
Suppose 33*r + 13 = 34*r. Determine y, given that -14 - 4*y**5 + 4 - r*y - 15*y + 24*y**2 - 14 + 42*y**3 - 10*y**3 = 0.
-2, -1, 1, 3
Let f(r) be the first derivative of r**4 + 32*r**3 - 8*r**2 - 384*r - 3470. Factor f(k).
4*(k - 2)*(k + 2)*(k + 24)
Let m be 43/8 - (210/48 - 4). Suppose -2*z + 5*u = 16, 2*z - 10 - 14 = -m*u. Factor -2*w + 1/10*w**z + 10.
(w - 10)**2/10
Let a = 161 + -156. Factor -26*x**5 + x**a - 10*x**3 + 14*x**4 - 12*x**4 + 33*x**4.
-5*x**3*(x - 1)*(5*x - 2)
Let w = 162 + -162. Let z be 180/45 - (3 - -1). Find a such that 0*a + w - 6/5*a**3 - 3/5*a**4 + z*a**2 = 0.
-2, 0
Let r(o) be the first derivative of 7/60*o**5 + 40 + 1/60*o**6 + 0*o + 5*o**2 - 2/3*o**3 + 1/6*o**4. Let m(v) be the second derivative of r(v). Factor m(y).
(y + 2)**2*(2*y - 1)
Let r = -4317 - -4325. Let z be 0 - 2*-1*2. Suppose 4*d**3 + 20*d**2 - 8*d**2 + r*d + 0 + 4 + z*d = 0. What is d?
-1
Suppose 3 = 5*y + 3*d, 4*y - 18 + 20 = 2*d. Let m = 22/7 - 59/21. Factor m*l - 1/6*l**2 + y.
-l*(l - 2)/6
Factor -1089/2 - 3/2*j**2 - 186*j.
-3*(j + 3)*(j + 121)/2
Let y be (11446/1455 - 3*3) + 11/(198/24). Factor -7/5*w + y*w**4 + w**2 - 6/5 + 7/5*w**3.
(w - 1)*(w + 1)**2*(w + 6)/5
Let o(n) be the third derivative of -n**8/840 - 4*n**7/525 - n**6/100 + 2*n**5/75 + n**4/15 + 161*n**2 - 12. Determine a so that o(a) = 0.
-2, -1, 0, 1
Let a(s) be the first derivative of -s**6/36 + 49*s**5/30 - 2*s**4 + 3049. Factor a(w).
-w**3*(w - 48)*(w - 1)/6
Suppose 757 + 513 = -r - 4*b, -3*r - 3*b = 3828. Let k be (-1)/2 + r/(-36). Determine q, given that 6*q**2 + 25*q**4 + 0*q**2 + 4*q**2 + k*q**3 = 0.
-1, -2/5, 0
Let p(l) = 31*l