p**2 + 4/5*p = 0. What is p?
-1, 1, 2
Suppose 3671 = 11*q + 3671. Let g(n) be the third derivative of 0 + 0*n**5 + 4*n**2 + 1/30*n**6 - 1/6*n**4 + q*n + 0*n**3. Factor g(u).
4*u*(u - 1)*(u + 1)
Suppose -468*h + 472*h - 176 = 0. Suppose -11*r = -h*r + 66. Factor 0*s**r + 0*s - 2/9*s**5 + 0 - 2/3*s**4 - 4/9*s**3.
-2*s**3*(s + 1)*(s + 2)/9
Let u(r) = -r**3 - 47*r**2 - 175*r - 99. Let q be u(-43). Suppose 14*o + 27*o = -q*o. Factor -1/7 + o*m + 2/7*m**2 - 1/7*m**4 + 0*m**3.
-(m - 1)**2*(m + 1)**2/7
Let p be (92 - 89)/((-74)/(-44) - 10/55). Factor 0*s - 1/2*s**p + 0.
-s**2/2
Let q(s) = s**2 + 18*s + 71. Let u be q(-13). Factor -u*x**3 - 3*x**3 + 8*x**3 + 3*x**2 + 3*x**2 - 2*x**3.
-3*x**2*(x - 2)
Let h(b) = -b**2 - b + 125. Let v be h(-12). Let j be ((4 + v)/3 + 0)*0. Suppose 2/13*g - 2/13*g**2 + 2/13*g**4 - 2/13*g**3 + j = 0. What is g?
-1, 0, 1
Let f be ((-12)/783)/((-478)/6931). Suppose 2/9*u**3 - f*u + 2/9*u**4 + 0 - 2/9*u**2 = 0. Calculate u.
-1, 0, 1
Factor 132/7*d - 3/7*d**2 + 105.
-3*(d - 49)*(d + 5)/7
Let d(b) = -48*b**2 + 915*b - 888. Let h(n) = -9*n**2 + 183*n - 178. Let m(s) = -4*d(s) + 21*h(s). Factor m(w).
3*(w - 1)*(w + 62)
Let 0*d - 267/4*d**2 + 0 + 3/4*d**3 = 0. Calculate d.
0, 89
Let s be (-4)/(-3) - ((1008/(-10))/9)/2. Let c(k) be the first derivative of 25 - 20*k - 1/2*k**4 - 29*k**2 - s*k**3. Find r such that c(r) = 0.
-5, -2/5
Let l = 11781 + -11776. Let h(q) be the first derivative of 0*q - 5/8*q**2 - 12 - 35/16*q**4 + 25/12*q**3 + 3/4*q**l. Determine p so that h(p) = 0.
0, 1/3, 1
Let c be (10/(-4) - -3)/(12/(-7200)*-12). Let i(k) be the first derivative of 1/12*k**6 - 1/6*k**3 - c + 0*k + 3/8*k**4 - 3/10*k**5 + 0*k**2. Factor i(n).
n**2*(n - 1)**3/2
Suppose 0 = -2*i + 4*j - 84, 4*j = 3*i + 2*i + 222. Let p = i - -48. Suppose 5*h**3 - 3*h**3 - 7*h**3 - p*h**2 + 7*h**3 = 0. What is h?
0, 1
Suppose -33*d - 128 - 48 = -275. Solve 6/5*a**5 + 24/5*a**4 + 12/5*a**2 + 6*a**d + 0*a + 0 = 0 for a.
-2, -1, 0
Let m(b) be the third derivative of -b**6/30 + 494*b**5/15 - 10250*b**4 + 80688*b**3 + b**2 + 83*b. Find o, given that m(o) = 0.
2, 246
Let c(p) be the third derivative of p**7/420 - 3*p**6/80 + 23*p**5/120 - 5*p**4/16 - p**2 + 35*p. Let c(u) = 0. Calculate u.
0, 1, 3, 5
Let t(j) = 12*j**2 - 10440*j - 20536. Let o(f) = 2*f**2 - 1898*f - 3734. Let s(n) = 28*o(n) - 5*t(n). Factor s(m).
-4*(m + 2)*(m + 234)
Let s(d) be the third derivative of 4/3*d**3 - 62*d**2 + 0 + 1/30*d**6 - 7/12*d**5 + 0*d + 23/24*d**4. Solve s(y) = 0 for y.
-1/4, 1, 8
Factor -3*l**2 + 7*l + 1/4*l**4 - 4 - 1/4*l**3.
(l - 2)**2*(l - 1)*(l + 4)/4
Factor -5740/3*r - 5/3*r**2 - 1647380/3.
-5*(r + 574)**2/3
Suppose 0 = -2*r + u + 3, 4*r + u + 1 = -4*u. Let b be (r - 9) + (-4692)/(-561). Find n such that 10/11*n**5 + b*n - 14/11*n**3 + 6/11*n**4 - 6/11*n**2 + 0 = 0.
-1, 0, 2/5, 1
Let w(v) be the first derivative of -27/8*v**2 + 109 - 51/8*v - 1/8*v**3. Determine l, given that w(l) = 0.
-17, -1
Let z = 3459671731/24954661095 + 1/13238547. Let c = z - 2/377. Factor -2/15*p**5 + 0 + c*p**3 + 0*p + 2/15*p**4 - 2/15*p**2.
-2*p**2*(p - 1)**2*(p + 1)/15
Let k(d) be the third derivative of -5*d**8/42 - 13*d**7/14 + 5*d**6/24 + 1297*d**2. Factor k(u).
-5*u**3*(u + 5)*(8*u - 1)
Let -16/9*l - 2/3*l**2 + 4/9*l**3 - 8/9 + 2/9*l**4 = 0. Calculate l.
-2, -1, 2
Let f(q) be the first derivative of q**4/2 + 1018*q**3/3 + 64515*q**2 - 130050*q + 3022. Factor f(k).
2*(k - 1)*(k + 255)**2
Suppose 3*u = -q + 1, -3*q + u + 5 - 2 = 0. Let m be 0 - (6/9)/(q/(-6)). Factor 3*z**2 - 48*z**m + 64*z**4 + 0*z - 19*z**2 + 4*z - 4*z**3.
4*z*(z - 1)*(z + 1)*(4*z - 1)
Let g = -485860/9 + 53986. Let 1/9*r**2 + 13/9 + g*r = 0. What is r?
-13, -1
Suppose 155*c - 16 - 584 = -45*c. Let m(h) be the first derivative of -1/7*h**c + 3/7*h**2 - 19 + 9/7*h. Factor m(n).
-3*(n - 3)*(n + 1)/7
Factor 30 + 27*r + 5*r**2 - 40 + 33*r + 172 - 3*r**2.
2*(r + 3)*(r + 27)
Factor 165/2*g**2 - 4704 - 3/4*g**3 - 2184*g.
-3*(g - 56)**2*(g + 2)/4
Let m = -998 + 1002. Suppose -3*v + 3*x + 51 = 0, -66 = -5*v + m*x + 14. Factor -v*k + 0 + 6*k**2 + 3*k**3 - 3/2*k**4.
-3*k*(k - 2)**2*(k + 2)/2
Let v(a) be the third derivative of -55*a**8/336 - 76*a**7/21 - 103*a**6/6 + 20*a**5/3 - 16*a**2 + 12. Let v(y) = 0. Calculate y.
-10, -4, 0, 2/11
Suppose k = 3*a - 5, 4*a + 12 = a. Let u be (k + 14)/(((-2)/(-6))/(-1)). Factor -7*g**3 - 6 + 5*g**2 + 2*g**2 + u*g**2 + 17*g.
-(g - 3)*(g + 1)*(7*g - 2)
Let s(x) = 1651*x - 46224. Let n be s(28). What is j in 0 - 1/2*j**2 - n*j = 0?
-8, 0
Suppose -12 + 136 - 23*u**2 + 91*u + 427 + u**3 - 44 = 0. What is u?
-3, 13
Factor 2905*p**2 - 739*p - 139 + 2105 - 2907*p**2 - 1225*p.
-2*(p - 1)*(p + 983)
Suppose 37*h - 366 = -144. Let t be h/33 - (-2471)/770*2. Solve -24/5*d**2 + 63/5*d**3 - 6/5 - t*d = 0.
-1/3, -2/7, 1
Let q = 29711 - 59421/2. Let j(k) be the third derivative of 1/9*k**4 - 1/180*k**5 + 0*k + k**2 + 2 + q*k**3. Determine i, given that j(i) = 0.
-1, 9
Let t be (3 - 1)*(-28 - -32). Find j, given that -5*j**4 + t*j + 30*j**3 + 2*j + 31*j**3 - 49*j**3 - 25*j**2 + 8*j**3 = 0.
0, 1, 2
Let q(r) = 2*r**4 + 7*r**3 - 136*r**2 + 250*r - 120. Let j(n) = n**4 - n**3 + 2*n**2 + 2*n - 1. Let d(k) = 3*j(k) - 3*q(k). Factor d(u).
-3*(u - 7)*(u - 1)**2*(u + 17)
Let i(m) be the second derivative of m**4/30 + 38*m**3/15 + 21*m**2 + 28*m - 55. Let i(o) = 0. Calculate o.
-35, -3
Let c(f) = 5*f**2 + 83*f - 167. Let z(t) = -t**2 - 5*t + 1. Let y(l) = -c(l) - 7*z(l). Find n such that y(n) = 0.
4, 20
Let w(g) be the first derivative of -6241*g**3 - 8295*g**2 - 3675*g - 7105. Let w(t) = 0. Calculate t.
-35/79
Let f(q) = 3*q**4 + 66*q**3 + 57*q**2 - 63*q - 66. Let l(n) = -n**2 + n - 1. Let j(g) = f(g) - 3*l(g). Let j(v) = 0. Calculate v.
-21, -1, 1
Suppose -c + 0*c = -5. Suppose -4*a + c*a + l = 205, 0 = a - 3*l - 217. Suppose -p + 4*p**2 + 184 - p - a - 2*p = 0. What is p?
-2, 3
Suppose 31515*k**3 - 68*k - 63030*k**3 - 60 + 31519*k**3 - 4*k**2 = 0. What is k?
-3, -1, 5
Let h = 1159586 + -1159584. Find r such that 0 + 1/4*r**4 + 0*r + 3/4*r**h - r**3 = 0.
0, 1, 3
Let w(o) be the third derivative of 0 + 18*o**2 + 0*o + 1/24*o**5 + 5/12*o**4 - 25/12*o**3. Solve w(u) = 0.
-5, 1
Let j(q) = -5*q - 13. Let i be j(-3). Determine m so that -18*m - 15*m**i + 0*m**3 + 3*m**3 - 3*m**2 + 33*m**2 = 0.
-6, 0, 1
Suppose 6*h - 82 = 4*f, 12007*h = 12009*h - 5*f - 75. Find c, given that -4 - 1/4*c**3 - 2*c**2 - h*c = 0.
-4, -2
Let 2331/2*m + 465 + 477/2*m**3 + 1875/2*m**2 + 3/2*m**4 = 0. What is m?
-155, -2, -1
What is x in 1790/3 + 1792/3*x + 2/3*x**2 = 0?
-895, -1
Suppose -4*i**5 - 7652 - 364*i**4 + 156*i**3 + 212*i**3 + 7652 = 0. Calculate i.
-92, 0, 1
Let y(n) be the first derivative of -n**5 + 775*n**4/2 + 1555*n**3/3 + 3850. Factor y(r).
-5*r**2*(r - 311)*(r + 1)
Factor 2/3*o**3 - 28*o**2 + 0 - 368/3*o.
2*o*(o - 46)*(o + 4)/3
Let d(c) = -c**2 + 2010*c + 1016074. Let w(n) = -n**2 - 3*n + 5. Let o(s) = d(s) - 2*w(s). Factor o(t).
(t + 1008)**2
Let n(g) = -57*g - 297. Let l(k) = 18*k**2 + 58*k - 3*k**2 + 298 - 9*k**2 - 5*k**2. Let b(p) = 3*l(p) + 2*n(p). Factor b(z).
3*(z + 10)**2
Suppose 12 + 18 = 5*j. Suppose 73 = j*l - 89. Determine d so that 34*d - l - 120*d**2 + 28*d + 48*d**3 + 37*d = 0.
3/4, 1
Let l(k) be the first derivative of 1/10*k**5 + 5/8*k**2 - 38 - 1/12*k**3 - 13/16*k**4 + 1/3*k**6 - 1/4*k. Let l(s) = 0. What is s?
-1, 1/4, 1/2, 1
Let a(u) be the first derivative of -1/8*u**4 - 15/4*u**2 + 9/2*u - 161 + 7/6*u**3. Suppose a(z) = 0. Calculate z.
1, 3
Let t(a) be the first derivative of 9*a**5/35 - 55*a**4/28 - 73*a**3/7 - 237*a**2/14 - 82*a/7 - 1558. Solve t(o) = 0 for o.
-1, 82/9
Let k(g) = 5*g**4 + 2*g**3 + 132*g**2 + 357*g - 6. Let a(m) = 7*m**4 + m**3 + 134*m**2 + 356*m - 8. Let z(y) = -3*a(y) + 4*k(y). Factor z(p).
-p*(p - 15)*(p + 4)*(p + 6)
Let t(l) = -l**2 + 198*l - 1334. Let s be t(7). Let w(b) be the first derivative of 12*b**2 + 4*b**6 + 5 + 3*b + 57/2*b**4 + 84/5*b**5 + 25*b**s. Factor w(k).
3*(k + 1)**2*(2*k + 1)**3
Let d be ((-250)/100)/(2 + 29/(-14)). What is s in -80*s - 42*s**2 - d*s**2 + 73*s**2 = 0?
-20, 0
Let m be (-8)/(-3)*3/(-2). Let u be ((-3)/m - 0)*(-112)/(-21). Suppose -3*i**2 + i**u - 8*i + 0*i**2 + 0*i**4 + 6*i**3 - 4*i**3 - 4 = 0. What is i?
-2, -1, 2
Suppose 9*g - 278 = -53. Factor 3*m**4 -