*l - n = 0.
-1, -2/3, 2
Suppose 20 = 92*k - 87*k. Factor -49*v - 7*v**3 + k*v**3 - 9*v**2 + 49*v.
-3*v**2*(v + 3)
Let u(j) be the third derivative of -2*j**2 - j**4 + 0*j**3 + 1/28*j**8 - 17/30*j**6 + 0*j - 19/15*j**5 + 4 - 2/105*j**7. Find i such that u(i) = 0.
-1, -2/3, 0, 3
Factor -120*z - 39*z - 291*z**2 - 969*z - 3*z**3 - 1116.
-3*(z + 2)**2*(z + 93)
Let l(i) be the second derivative of -1 - 9/2*i**2 + 3*i + 2*i**3 - 1/4*i**4. Factor l(k).
-3*(k - 3)*(k - 1)
Let f(r) be the third derivative of -7/24*r**4 - r**2 + 0*r - 1/120*r**5 - 27 + 5/4*r**3. Factor f(k).
-(k - 1)*(k + 15)/2
Let q(u) be the third derivative of u**8/504 + u**7/225 - 2*u**6/225 - 2*u**5/225 - 8*u**2 - 22. Solve q(k) = 0.
-2, -2/5, 0, 1
Let k be 26/117 + (-1160)/36. Let o be (0 - 1)*(k/4)/4. Find f, given that -3/4*f + 3/4*f**3 - 3/4*f**o + 3/4 = 0.
-1, 1
Let v be (-32 + 29)/((1 - 0) + -2). Determine k, given that 184*k - 12*k**2 - v*k**3 - 148*k - 20*k**2 - k**2 = 0.
-12, 0, 1
Let z(f) be the first derivative of -25 - 2/21*f**3 + 0*f + 1/14*f**4 - 2/7*f**2. What is i in z(i) = 0?
-1, 0, 2
Let j(b) be the first derivative of -5*b**5/12 - 55*b**4/4 - 65*b**3/6 + 129*b**2/2 + 44. Let p(v) be the second derivative of j(v). Factor p(u).
-5*(u + 13)*(5*u + 1)
Let d(x) be the first derivative of -4*x**5/5 - 3*x**4 + 24*x**3 - 8*x**2 - 96*x + 823. Let d(h) = 0. Calculate h.
-6, -1, 2
Factor 97 + 119 + 8182*c**2 - 8185*c**2 + 102*c.
-3*(c - 36)*(c + 2)
Suppose -2*i = 3*g - 24, 2*i + 2*g - 10 - 12 = 0. Suppose i = 7*t - 5. Factor 17*j**3 - 3*j**t - 2*j - 19*j**3 - 3*j**4 + 10*j**3.
-j*(j - 2)*(j - 1)*(3*j + 1)
Find j such that 5*j**3 + 207041 + 1555785*j + 1101415*j + 7285*j**2 + 2442879 = 0.
-728, -1
Let r(p) be the second derivative of p**6/120 - 7*p**5/20 - 15*p**4/8 + 29*p**3/6 + 2*p - 38. Let s(g) be the second derivative of r(g). Factor s(c).
3*(c - 15)*(c + 1)
Let u(x) be the third derivative of 7/480*x**6 + 1/12*x**4 + x**2 - 4*x + 1/1680*x**7 + 0*x**3 + 0 - 31/480*x**5. Let u(s) = 0. What is s?
-16, 0, 1
Let 47*c**2 - 4*c**4 + 36*c**3 - 53*c + 79*c + 97*c**2 - 192 - 10*c = 0. Calculate c.
-2, 1, 12
What is o in -375*o**4 + 4*o**5 - 2800*o + 4*o**2 + 419*o**4 + 3936*o - 324*o**3 + 768 = 0?
-16, -1, 3, 4
Solve 10/7 - 4/7*s - 6/7*s**2 = 0.
-5/3, 1
Factor 12*r**2 + 1/4*r**3 - 231 + 155/4*r.
(r - 3)*(r + 7)*(r + 44)/4
Let r(o) = o**2 + 22*o + 136. Let n be r(-8). Let q(m) be the first derivative of -2/9*m**3 - 3*m**2 - 16/3*m - n. Solve q(k) = 0.
-8, -1
What is x in -3/4*x**3 - 3267*x + 0 - 99*x**2 = 0?
-66, 0
Let c = 471440/3064191 - 2/235707. Solve 0 + 8/13*d**2 - c*d**3 - 8/13*d = 0 for d.
0, 2
Let r be 4/(-14) + (-40)/(-42). Let z be 0/((-15)/180*-12). Find f such that z - r*f + 2/3*f**2 = 0.
0, 1
Let m = 1839 + -1834. Let p(r) be the second derivative of 3/20*r**m - 3/2*r**3 - 3*r**2 + 0 + 2*r + 0*r**4. Determine t, given that p(t) = 0.
-1, 2
Let l(p) = -p**3 + p**2 - 3. Let k(n) = -n**5 + 17*n**4 + 82*n**3 + 2*n**2 - 6. Let x(v) = -3*k(v) + 6*l(v). Factor x(h).
3*h**3*(h - 21)*(h + 4)
Solve 648/7*i + 0 - 6*i**3 + 36*i**2 - 3/7*i**4 = 0.
-18, -2, 0, 6
Let 31*j**3 - 10*j**3 + 18*j**2 - 6*j**3 - 8*j**3 - 10*j**3 = 0. Calculate j.
0, 6
Let t(n) = 1024*n**3 - 12318*n**2 + 6809*n - 955. Let a(m) = 1025*m**3 - 12324*m**2 + 6808*m - 956. Let i(y) = -5*a(y) + 4*t(y). Determine u so that i(u) = 0.
2/7, 80/7
Let 16 + k**2 + 7*k**2 - 48*k + 82*k + 15 + 5 = 0. What is k?
-9/4, -2
Suppose -19 = 3*l - 3*r - 28, 4*r + 12 = 0. Let j = 181/2 - 88. Factor 1/2*p**2 + l - j*p.
p*(p - 5)/2
Suppose -l = -4*p + 7, -l - 6 = -p - 5*l. Suppose -p*m + 2 = d, 4*d + 5*m - 12 + 7 = 0. Factor d*h - 4/3 + 1/3*h**2.
(h - 2)*(h + 2)/3
Suppose 4*y + 2*u - 24 = 0, y - u - 9 = -3*u. Suppose -y*h + 35 = 4*k, 0 = h - 2*h + 2*k + 7. Suppose -h - 175*v**2 + 6*v + 0 + 176*v**2 = 0. Calculate v.
-7, 1
What is t in 14*t**2 - 56*t**2 + 177*t**3 - 40*t - 302*t**3 + 123*t**3 = 0?
-20, -1, 0
Determine t, given that 15*t**4 - 378/5*t**3 + 714/5*t**2 + 171/5 - 579/5*t - 3/5*t**5 = 0.
1, 3, 19
Let z(a) be the third derivative of a**8/896 + 17*a**7/140 + 33*a**6/80 - a**5/80 - 133*a**4/64 - 33*a**3/8 - 932*a**2. Suppose z(k) = 0. Calculate k.
-66, -1, 1
Let x(r) be the first derivative of r**5/100 + 17*r**4/60 + 21*r**3/10 - 81*r**2/10 - 32*r - 54. Let d(m) be the first derivative of x(m). Factor d(u).
(u - 1)*(u + 9)**2/5
Let u = 522 + -520. Find d such that -19*d**u + 3*d**3 - 17*d**2 - 18*d**2 + 6*d**2 = 0.
0, 16
Let v(p) = -1280*p + 76804. Let x be v(60). Suppose -40/7*m + 0 - 114/7*m**3 - 18/7*m**x - 128/7*m**2 = 0. What is m?
-5, -2/3, 0
Factor -2154/11*c - 2152/11 - 2/11*c**2.
-2*(c + 1)*(c + 1076)/11
Let k(x) be the third derivative of x**6/780 - 119*x**5/390 - 2*x**2 + 3589. Factor k(p).
2*p**2*(p - 119)/13
Let b(t) be the first derivative of -t**5/80 - 5*t**4/48 + 18*t + 59. Let k(y) be the first derivative of b(y). Factor k(z).
-z**2*(z + 5)/4
Let u be (15/(-21))/(7 - (-150)/(-21)). Solve 110/3*d**4 + 0*d - 215/3*d**3 + 0 + u*d**5 + 30*d**2 = 0 for d.
-9, 0, 2/3, 1
Suppose -146/9*i**3 - 1702/9*i - 2/9*i**4 - 260/3 - 1066/9*i**2 = 0. Calculate i.
-65, -6, -1
Suppose -4*g - 4*f - 8 = -0*g, 2*g - 21 = 3*f. Let n = 4178 - 4176. Factor 1/3*x**g - 2*x**n + 5/3*x + 0.
x*(x - 5)*(x - 1)/3
Suppose -106*j - 160 = -126*j. Suppose 23*b - j*b - 30 = 0. Suppose 1/4 - 1/4*m**4 - 1/2*m**3 + 1/2*m + 0*m**b = 0. What is m?
-1, 1
Let i(m) = -m**2 - 17*m + 112. Let x be i(-22). Let u(h) be the first derivative of 5/4*h**4 + 9 + 20/3*h**3 + 0*h**x + 0*h. Find q such that u(q) = 0.
-4, 0
Let b(x) be the third derivative of x**8/2688 + x**7/140 - 11*x**6/480 - 33*x**5/40 + 135*x**4/64 + 589*x**2. Solve b(p) = 0 for p.
-9, 0, 1, 5
Let d(z) be the second derivative of -z**5/12 - 265*z**4/36 + 15*z**3 + 2522*z. Factor d(t).
-5*t*(t - 1)*(t + 54)/3
Let h(k) be the second derivative of -3*k**5/40 + 289*k**4/4 - 83521*k**3/4 - 2920*k + 1. Factor h(x).
-3*x*(x - 289)**2/2
Let s(q) = -67*q - 281. Let x be s(-5). Find y such that -30*y**2 + 0 - 40 + x*y + 11 + 1 + 2 + 2*y**3 = 0.
1, 13
Let a(t) be the third derivative of 0*t**3 - 3*t**2 + 0*t - 19 + 1/18*t**4 + 2/135*t**6 + 1/945*t**7 + 13/270*t**5. What is r in a(r) = 0?
-6, -1, 0
Let l(f) be the third derivative of f**5/15 - 7*f**4/6 + 4*f**3 + 4423*f**2. Find g, given that l(g) = 0.
1, 6
Let n(v) be the third derivative of v**7/5040 + v**6/360 + v**5/80 - 23*v**4/8 - 277*v**2. Let f(x) be the second derivative of n(x). What is c in f(c) = 0?
-3, -1
Let o(w) be the first derivative of -25/3*w - 949/36*w**3 - 55/2*w**2 + 77/8*w**4 - 102 - 49/60*w**5. What is v in o(v) = 0?
-2/7, 5
Let x be (10/(-6))/(2*3/(-18)). Suppose -u = x*f - 5 - 2, 6 = 5*u - 4*f. Factor 15/2*s**u - s + 0.
s*(15*s - 2)/2
Let y = -396 + 418. Let b = y - 20. Factor b*k - 3 - 1/3*k**2.
-(k - 3)**2/3
Let 773*o + 182 + 148 + 9*o**2 + 548*o + 166*o = 0. What is o?
-165, -2/9
Let r(m) be the first derivative of -m**5/80 - m**4/48 + m**3/6 + m**2/2 + 134*m + 58. Let n(l) be the first derivative of r(l). Find f, given that n(f) = 0.
-2, -1, 2
Let f = 2023/55 + -6791/385. Suppose 80/7*r - 8/7 - f*r**4 + 26/7*r**5 - 218/7*r**2 + 254/7*r**3 = 0. Calculate r.
2/13, 1, 2
Let p(j) be the third derivative of -j**6/420 + 334*j**5/105 - 1997*j**4/84 + 190*j**3/3 - 14*j**2 + j - 132. Factor p(w).
-2*(w - 665)*(w - 2)*(w - 1)/7
Let k(a) be the third derivative of -a**8/448 - 15*a**7/4 - 18375*a**6/8 - 1071875*a**5/2 - 2498*a**2. Find r such that k(r) = 0.
-350, 0
Let f be ((-741)/(-38) + -16)/(13 - 6)*8. Let 4*s**2 + 0 - s**f - 5/2*s - 1/2*s**3 = 0. What is s?
-5/2, 0, 1
Let p = -179695 - -539086/3. Let -1/6*d**2 + 0 + p*d = 0. What is d?
0, 2
Let i(q) be the second derivative of -q**6/30 + 33*q**5/4 - 6721*q**4/12 - 2407*q**3/2 + 6889*q**2 - 6156*q. Solve i(h) = 0.
-2, 1, 83
Suppose 0 = 3*a - 99. Let 2*g**4 + 84*g**5 + 36*g**2 - a*g**3 + 21*g**3 - 73*g**4 + 8*g - 45*g**4 = 0. Calculate g.
-1/3, -2/7, 0, 1
Let b(g) be the second derivative of -g**5/40 + 77*g**4/48 - 19*g**3/12 - 9251*g. Solve b(h) = 0 for h.
0, 1/2, 38
Let n(t) be the second derivative of -136*t**6/15 - 339*t**5/5 + 413*t**4/3 - 4*t**3 - 40*t - 41. Solve n(y) = 0.
-6, 0, 1/68, 1
What is f in 99*f**2 - 8393*f + 1263*f**3 + 60*f**2 + 27*f**5 + 1164*f**4 - 33*f**2 + 8393