actor -6/5*l**3 + 0 - 1/5*l**4 + n*l + 7/5*l**2.
-l**2*(l - 1)*(l + 7)/5
Let p(u) = 36*u**2 - 84*u. Let i(f) = -51*f**2 + 19*f**2 + 37*f**2 - 12*f. Let k be ((-4)/10)/(3/15). Let t(d) = k*p(d) + 15*i(d). Find m, given that t(m) = 0.
0, 4
Suppose t - 1 = 2*b - 3, 5*t = 5*b. Let f(c) be the first derivative of 0*c - 3/10*c**t - 23 + 1/15*c**3. Factor f(m).
m*(m - 3)/5
Let n(k) be the first derivative of k**4/26 - 298*k**3/39 + 5624*k**2/13 - 10952*k/13 + 3631. Find a such that n(a) = 0.
1, 74
Let h = -96 - -110. Factor -100*y**3 + 97*y**3 - 4*y + 3*y - 24*y**2 + 42 - h*y.
-3*(y - 1)*(y + 2)*(y + 7)
Let t(l) be the third derivative of 13/36*l**5 - 63*l**2 - 1/12*l**6 + 1/126*l**7 + 0*l + 10/9*l**3 - 5/6*l**4 + 0. Determine v so that t(v) = 0.
1, 2
Let j be 75/(-270)*(3 - 38/10). Suppose -4*s = -4*c, -3*c = -s + 2*c. Find p such that -8/9*p + 10/9*p**2 + s - j*p**3 = 0.
0, 1, 4
Let n(z) be the first derivative of 3*z**5/5 + 1461*z**4/4 + 485*z**3 - 1461*z**2/2 - 1458*z + 123. Let n(j) = 0. What is j?
-486, -1, 1
Let u be (-24 - -52)*208/1001. Factor -u*r - 2/11*r**2 - 512/11.
-2*(r + 16)**2/11
Let w(l) be the first derivative of -28*l**2 + 0*l - 4/3*l**3 - 335 + 14*l**4 + 4/5*l**5. Factor w(b).
4*b*(b - 1)*(b + 1)*(b + 14)
Factor -830/3*j**2 - 1/3*j**3 + 1663/3*j - 832/3.
-(j - 1)**2*(j + 832)/3
Suppose 7*x**4 + 0 + 1/2*x**5 + 16*x**3 - 64*x**2 + 0*x = 0. Calculate x.
-8, 0, 2
Suppose -291 + 8 - 5*c**2 - 310*c - 42 - 20*c = 0. Calculate c.
-65, -1
Let q(n) = 2*n**2 + 18*n - 324. Let k be q(9). Let w(l) be the second derivative of -5/6*l**3 + k + l**2 - 1/20*l**5 + 22*l + 1/3*l**4. Factor w(r).
-(r - 2)*(r - 1)**2
Let 3/7*d**2 - 348/7 + 75/7*d = 0. What is d?
-29, 4
Let g(c) be the second derivative of c**6/240 + c**5/8 + 77*c**4/96 - 121*c**3/24 - 386*c. Solve g(k) = 0.
-11, 0, 2
Let b(c) be the second derivative of -103*c**4/42 - 1646*c**3/21 + 32*c**2/7 - 2*c + 622. Factor b(n).
-2*(n + 16)*(103*n - 2)/7
Let b(u) be the second derivative of 5*u**4/42 + 1618*u**3/21 - 648*u**2/7 - 1938*u. Let b(k) = 0. What is k?
-324, 2/5
Let w(f) be the second derivative of f**4/12 - f**3/6 - f**2 + 23*f + 1. Let b(t) = -2*t**2 + 8. Let k(o) = 5*b(o) + 5*w(o). Suppose k(i) = 0. What is i?
-3, 2
Let v(i) be the third derivative of -i**5/330 - 25*i**4/132 - 38*i**3/11 - 587*i**2. Let v(s) = 0. What is s?
-19, -6
Let k(j) = -3*j**3 - j**2 - 2*j - 5. Let i(q) = -15*q**3 + 22215*q**2 + 54863637*q + 45152783097. Let w(t) = i(t) - 6*k(t). Factor w(p).
3*(p + 2469)**3
Let y be 20/(-30)*414/(-13). Let f = y + -539/26. Factor -f*p**5 - 3*p**3 + 0 + 5/2*p**4 - 2*p**2 + 4*p.
-p*(p - 2)**3*(p + 1)/2
Let u be 1/(4 - 6)*(-8)/720. Let b(d) be the third derivative of 0*d + 13*d**2 + 0 + 1/36*d**4 + 0*d**3 - u*d**5. Factor b(p).
-p*(p - 2)/3
Let k(x) be the first derivative of 1/140*x**5 - 20 - 22*x + 1/84*x**4 + 0*x**2 - 1/21*x**3. Let o(u) be the first derivative of k(u). Factor o(m).
m*(m - 1)*(m + 2)/7
Let p(c) = -88*c + 832. Suppose -5*j - 16 = 3*i - 45, 5 = 5*j. Let f be p(i). Let 256/3 + 4/3*k**4 - f*k + 208/3*k**2 - 16*k**3 = 0. Calculate k.
2, 4
Let t(y) be the second derivative of -y**4/24 + 9*y**3/2 - 50*y**2 - 263*y + 1. Let t(b) = 0. What is b?
4, 50
Solve -4/9*a**2 + 176/9*a - 484/3 = 0.
11, 33
Let q = -296 - -291. Let w(k) = 2*k**3 + 8*k**2 + 16*k + 13. Let f(m) = -m**3 - m**2 - 1. Let n(p) = q*f(p) - 5*w(p). Let n(x) = 0. Calculate x.
-3, -2
Factor -120*o**3 - 3*o**4 - 46*o**2 - 214*o + 427*o**2 + 146*o - 190*o.
-3*o*(o - 2)*(o - 1)*(o + 43)
Suppose -115672/3*d**3 + 293302/3*d**2 - 2/3*d**5 - 967/3*d**4 - 78570*d + 19683 = 0. What is d?
-243, 1/2, 1
Suppose -4*q = -2*o + 168, 5*q = 4*o - 9*o + 495. Suppose 2*w + 26 - o = 0. Suppose 5*k**2 + 0*k + 24 + 10*k - w - 5*k = 0. What is k?
-2, 1
Let f be 1284/(-963) + ((-162)/40)/(-3). Let n(k) be the second derivative of 14*k - 1/2*k**2 + 0 - 2/15*k**3 + f*k**4. Factor n(s).
(s - 5)*(s + 1)/5
Let j(u) be the first derivative of -u**5 + 45*u**4 - 1790*u**3/3 + 1530*u**2 - 1445*u + 1760. Factor j(h).
-5*(h - 17)**2*(h - 1)**2
Let l(d) = 4*d**2 + 39*d - 8. Let c be l(-10). Suppose -c*t = 0, -3*q = 5*t - 4*t - 6. Factor 0 + 2*i**4 - 10 - 8*i**3 + 8*i + 6 + q*i**4.
4*(i - 1)**3*(i + 1)
Let u(l) = 31*l - 151. Suppose -2 = -2*n + 5*j + 13, 0 = -5*n + 2*j + 27. Let k be u(n). Solve 0*s**2 + 0 + 0*s**3 + 1/5*s**k + 0*s = 0.
0
Let m be (4/48)/((-6)/32) - 3564/(-1458). Find q such that -m*q**3 - 8/3*q - 1/3*q**4 - 4*q**2 + 0 = 0.
-2, 0
Let d be 3 - (63/24 + (19 - (-1500)/(-80))). Find a, given that 0*a + 0 - 1/8*a**4 - d*a**2 - 1/4*a**3 = 0.
-1, 0
Let r(a) = a**2 + 22*a + 42. Let l be r(-20). Factor -24*b**2 - 20*b**l - 16*b**2 - 32*b + 71*b**2 - 15*b**2 - 64.
-4*(b + 4)**2
Let f(a) be the second derivative of -a**5/4 - 35*a**4/4 - 95*a**3/3 + 1748*a. Factor f(o).
-5*o*(o + 2)*(o + 19)
Factor 29*s + 3/4*s**2 + 19.
(s + 38)*(3*s + 2)/4
Let h(s) be the second derivative of -s**4/60 - 14*s**3/5 - 82*s**2/5 - 2*s - 65. Factor h(f).
-(f + 2)*(f + 82)/5
Let v be -602 + 598 + -3 + 2 + 9. Solve 20/13*s**3 - 80/13*s + 6/13*s**v - 24/13 - 18/13*s**2 = 0 for s.
-3, -2, -1/3, 2
Suppose 48396/5*g + 95048/5 + 438/5*g**2 + 1/5*g**3 = 0. Calculate g.
-218, -2
Let k(c) be the first derivative of -16*c**6/9 - 7888*c**5/45 + 1111*c**4/6 + 2150*c**3/27 - 37*c**2 - 166*c/9 + 1731. Solve k(t) = 0.
-83, -1/4, 1/3, 1
Let b(o) = 1850*o**3 - 82045*o**2 - 20750*o - 1290. Let a(r) = 308*r**3 - 13674*r**2 - 3459*r - 215. Let s(u) = -35*a(u) + 6*b(u). Factor s(g).
5*(g - 43)*(8*g + 1)**2
Let v(y) be the second derivative of y**7/14 - 4*y**6/5 + 3*y**5/5 + 29*y**4/2 - 5*y**3/2 - 75*y**2 + 2684*y. Determine z, given that v(z) = 0.
-2, -1, 1, 5
Factor 39909*x + 1085*x**3 - 1477794*x**4 + 1477789*x**4 + 18411*x - 59400*x**2.
-5*x*(x - 108)**2*(x - 1)
Let -4*h**5 + 88*h + 87*h**4 - 2633*h**3 + 2792*h**3 + 243*h**2 + h**5 + 20*h - 66*h**4 = 0. Calculate h.
-3, -1, 0, 12
Let y be (2 + 16)*(-8)/(-6). Let a = 45579/1990 - 402/995. Let -36*r + a*r**2 - 3*r**3 - y = 0. Calculate r.
-1/2, 4
Let j(o) be the third derivative of -o**6/90 + o**5/6 - o**4 - 29*o**3/2 + 45*o**2. Let x(q) be the first derivative of j(q). Factor x(d).
-4*(d - 3)*(d - 2)
Let i be 24 + (-5364)/270 - (-2)/(-15). Let v(a) be the second derivative of -1/5*a**5 + 0 + 2/3*a**3 + 15*a + 2/15*a**6 + 4*a**2 - a**i. Factor v(q).
4*(q - 2)*(q - 1)*(q + 1)**2
Let a(y) = y**3 + 7*y**2 + 6*y + 3. Let p be a(-6). Suppose -4*h = -47 + 35. Factor 14 - h*g**4 + 23*g - 5*g**p + 8*g**4 + 26 - 3*g - 30*g**2.
5*(g - 2)**2*(g + 1)*(g + 2)
Suppose 4*p = 4*b - 16, -3*b + 4*b - 3*p - 6 = 0. Let c = 460 - 457. Let -c*n**2 - 3*n**3 - 3*n**3 + b*n**4 + 129*n - 123*n = 0. Calculate n.
-1, 0, 1, 2
Let d(c) = -c**2 - 8*c + 5. Let w be d(-8). Let y = w - -1. Suppose 12*l**4 - y - 5*l**2 - 4*l**2 - 24*l**5 + 3*l**2 - 12*l**3 + 21*l**5 + 15*l = 0. What is l?
-1, 1, 2
Find z, given that -402*z + 903*z + 45*z**3 - 369*z + 3*z**4 + 144*z**2 = 0.
-11, -2, 0
Let f = 179 + -120. Suppose -2*z + f = 51. Suppose 0 + 4/5*n**3 + 0*n + 4/5*n**2 + 1/5*n**z = 0. Calculate n.
-2, 0
Find k, given that -176/7*k - 4/7*k**4 + 36/7*k**3 + 192/7 - 48/7*k**2 = 0.
-2, 1, 4, 6
Let r be (1/40)/(-27*(-17)/612). Let p(x) be the second derivative of 0 - 7*x + 1/6*x**3 + 3/20*x**5 - r*x**6 - 1/4*x**4 + 0*x**2. Factor p(m).
-m*(m - 1)**3
Let n(f) be the third derivative of f**6/120 - 8*f**5/15 + 23*f**4/24 + 125*f**3/3 + 121*f**2 + 2. Let y be n(31). Factor -3/4*r**y - 1/4*r**3 - 3/4*r - 1/4.
-(r + 1)**3/4
Let o(q) = -4*q - 42. Let x be o(-15). Let u = -17 + x. Factor -g**3 + 6*g**3 - g**4 - 9*g**2 - 882*g - u + 889*g - 1.
-(g - 2)*(g - 1)**3
Let i(h) = -h**3 + 28*h**2 - 4*h + 119. Let a be i(28). Let 5*l**3 - a*l**3 + 34*l**2 - 2*l**3 + 2*l**2 + 3*l**3 + 37*l = 0. Calculate l.
-1, 0, 37
Let m be 11/(-99) + (-23)/(-45). Let k(j) be the first derivative of 2/25*j**5 + 2/5*j**2 - m*j**3 + 8 + 0*j**4 + 0*j. Let k(s) = 0. Calculate s.
-2, 0, 1
Let f(o) = 4*o**2 + 3100*o + 2393191. Let u(v) = -17*v**2 - 12402*v - 9572758. Let b(p) = -26*f(p) - 6*u(p). Factor b(x).
-2*(x + 1547)**2
Let g be 3/(1 - 4/3). Let c be 30/g*(-7)/(35/2). Factor -8/3*u + 0 + c*u**3 + 4/3*u**2.
4*u*(u - 1)*(u + 2)/3
Let d(i) be the third derivative of 0*i**4 + 36*i**2 + 0*i**3 + 0*i + 1 -