/(-23)). Suppose p*l + 4/3*l**2 - q = 0. What is l?
-3, 1
Let x(u) = 61*u**4 - 64*u**3 - 101*u**2 - 46*u - 98. Let y(d) = -13*d**4 + 13*d**3 + 20*d**2 + 9*d + 21. Let s(n) = 3*x(n) + 14*y(n). Factor s(c).
c*(c - 12)*(c + 1)**2
Suppose 0 = 48*i + 6*i - 2592. Let x = 51 - i. Find c such that -2/3*c**2 + 2/3*c**4 - 1/3*c + 0 + 1/3*c**5 + 0*c**x = 0.
-1, 0, 1
Factor 1467/7*n - 2922/7 - 3/7*n**2.
-3*(n - 487)*(n - 2)/7
Let x = -74 - -86. Solve -6*c**2 + 22*c + x*c**2 + 16*c + 361 - 5*c**2 = 0 for c.
-19
Let i(y) = -y**3 - 48*y**2 - 4. Let v(r) = -1. Let x(u) = i(u) - 4*v(u). Let x(d) = 0. What is d?
-48, 0
Let h = -46 + 20. Let k be (-40)/(-5)*h/(-8). Let 4*i**4 - 4*i**2 + 14*i - k*i + 12*i**3 + 0*i**2 = 0. What is i?
-3, -1, 0, 1
Let m = 175 + -144. Factor 56 - m - 2*s**5 - 4*s**3 - 6*s**4 - 23 + 4*s**2 + 6*s.
-2*(s - 1)*(s + 1)**4
Let t(y) be the first derivative of y**6/1440 + y**5/480 + y**3/3 + 23*y**2/2 + 187. Let n(o) be the third derivative of t(o). Factor n(u).
u*(u + 1)/4
Let m(o) = o**3 + 9*o**2 - 10*o + 4. Let t be m(-10). Suppose -24*f + 50 = f. Solve -a**2 + a - t + 8 - f = 0 for a.
-1, 2
Suppose -5*n - 1 + 11 = 0. Let q = 370 - 368. Factor -4*l**2 + l**q - l**n - l**2 + 25*l.
-5*l*(l - 5)
Suppose 375 = 61*m - 86*m. Let q be ((-45)/m)/((-6)/(-10)). Factor 3/2*a + q - 1/2*a**2.
-(a - 5)*(a + 2)/2
Let t(y) be the third derivative of -2*y**7/105 + 22*y**6/15 + 46*y**5/15 - 22*y**4/3 - 30*y**3 - 13*y**2 - 21*y. Factor t(i).
-4*(i - 45)*(i - 1)*(i + 1)**2
Let j(t) = -5*t**4 + 132*t**3 + 295*t**2 + 154*t. Let g(d) = 6*d**4 - 126*d**3 - 294*d**2 - 156*d. Let s(o) = -2*g(o) - 3*j(o). Factor s(p).
3*p*(p - 50)*(p + 1)**2
Let m be (816/(-36) + 24)*200/16. Factor 98/3*t + m - 4/3*t**2.
-2*(t - 25)*(2*t + 1)/3
Let m be -23*83/7636*(1 - 21). Factor 2/7*r**m - 44/7*r**4 + 448 + 1696/7*r**2 + 80/7*r**3 + 608*r.
2*(r - 14)**2*(r + 2)**3/7
Let g(p) = 81*p**2 - 2049*p + 2001. Let u(v) = 5*v**2 - 128*v + 125. Let m(a) = 2*g(a) - 33*u(a). Factor m(o).
-3*(o - 41)*(o - 1)
Let l(w) be the first derivative of -w**5/50 + w**4/10 + 106*w + 150. Let h(v) be the first derivative of l(v). Factor h(r).
-2*r**2*(r - 3)/5
Suppose w**2 - 7/2*w**3 + 6*w + 0*w**4 - 4 + 1/2*w**5 = 0. Calculate w.
-2, 1, 2
Let l(y) = 2*y + 1. Let t(o) = 5*o**2 + 5*o**3 - 4*o**2 - 7*o + 13*o + 4*o**2 - 4*o**2 + 3. Let x(i) = 6*l(i) - 2*t(i). Factor x(k).
-2*k**2*(5*k + 1)
Let q(y) be the second derivative of y**4/36 + y**3/18 - y**2/3 + 517*y - 2. Factor q(s).
(s - 1)*(s + 2)/3
Determine y so that -358/3*y**2 - 1/3*y**3 - 32041/3*y + 0 = 0.
-179, 0
Let g(i) be the first derivative of 0*i**3 + 5/2*i**2 - 10 - 5/4*i**4 + 0*i. Find m, given that g(m) = 0.
-1, 0, 1
Suppose 0 = -720*g - 1736 + 3896. Factor 21/5*h**2 + 19/5*h + 9/5*h**g + 1/5*h**4 + 6/5.
(h + 1)**3*(h + 6)/5
Suppose -43*w + 50*w = 210. Suppose w*f**2 + 12*f + 5 - 5 + 3 - 15*f**3 + 3*f**5 - 6*f**4 - 27 = 0. What is f?
-2, -1, 1, 2
Suppose -92 = -5*d - 4*y - 41, 5*d - 2*y + 3 = 0. Suppose 0 = -13*j + 18*j. Factor 9/4*k**2 + j + 9/4*k**d + 3/4*k**4 + 3/4*k.
3*k*(k + 1)**3/4
Suppose -9 = 3*d, 5*n + d = 9*n + 13. Let f be n + -5 + (-62)/(-10) - -4. Determine k so that -2/5*k**3 + 0 - f*k - 8/5*k**2 = 0.
-3, -1, 0
Let h = -9 - -41. Factor 11*j - h*j + 15*j + 7*j**2 - j**3.
-j*(j - 6)*(j - 1)
Let l be (-318)/1113 + 88/14. Let n(v) be the first derivative of 87/5*v**5 + 0*v + 14 + 15*v**3 - 9/2*v**l - 3*v**2 - 99/4*v**4. Determine f so that n(f) = 0.
0, 2/9, 1
Factor 2/3*x**2 - 17600/3*x + 38720000/3.
2*(x - 4400)**2/3
Let a be (-1269)/(-45) - 12/(-15). Suppose -5*g = -f + 27, -4*g = 3*f - 15 + a. Solve 0*r + 3/7*r**f - 3/7*r**3 + 0 = 0.
0, 1
Let g be 3/(-72) + (2780415/(-3240))/(-137). What is v in g + 8/3*v - 2/9*v**2 = 0?
-2, 14
Let z(a) be the third derivative of a**6/540 - 61*a**5/270 - 16*a**4/27 + 124*a**3/27 - 433*a**2 - a. Suppose z(b) = 0. Calculate b.
-2, 1, 62
Let f(d) be the third derivative of -d**5/12 - 55*d**4/2 - 655*d**3/6 + d**2 - 237. Factor f(o).
-5*(o + 1)*(o + 131)
Factor -21*l**2 + 7*l**2 - 26*l**5 - 751*l**4 + 379*l**4 + 298*l**4 - 66*l**3 + 4*l.
-2*l*(l + 1)**3*(13*l - 2)
Let u(d) be the second derivative of -8/11*d**2 + 232*d + 0 + 1/110*d**5 - 5/33*d**4 + 17/33*d**3. Factor u(r).
2*(r - 8)*(r - 1)**2/11
Factor 0*z + 148/9*z**2 + 0 + 2/9*z**3.
2*z**2*(z + 74)/9
Let k = 778161/2 + -389076. Let 1/4*y**2 + k*y - 10 = 0. Calculate y.
-20, 2
Let l(t) be the second derivative of t**7/105 - 38*t**6/25 + 167*t**5/25 - 18*t**4/5 - 67*t**3/3 + 222*t**2/5 + 1753*t. Let l(v) = 0. Calculate v.
-1, 1, 2, 111
Let n = -80 - -83. Let b be (-24 - (-3 + n))*2/(-6). Factor 6*m**3 - 33*m**2 + b*m**3 - 17*m**3 + 108 - 72*m.
-3*(m - 1)*(m + 6)**2
Factor 1224*v + 6771*v**2 - 1212 - v**3 - 7086*v**2 + 4*v**3.
3*(v - 101)*(v - 2)**2
Let n(q) be the second derivative of q**4/8 - 9*q**3/2 + 51*q**2/4 - 16*q + 4. Let n(o) = 0. Calculate o.
1, 17
Suppose 0 = 6*k - 13 - 17. Let l(f) = -5*f**4 - 2*f - k*f - f**3 + 4*f**4 + 7 + 2*f**4. Let x(d) = -d + 1. Let r(a) = -3*l(a) + 21*x(a). Factor r(g).
-3*g**3*(g - 1)
Let n(b) be the third derivative of b**5/42 + 611*b**4/42 + 488*b**3/21 - 1929*b**2 - 2*b. Factor n(f).
2*(f + 244)*(5*f + 2)/7
Let t(p) be the second derivative of -1/3*p**3 + 1/10*p**5 + 0 - 1/180*p**6 + 147*p + 11/12*p**2 - 5/36*p**4. Factor t(m).
-(m - 11)*(m - 1)**2*(m + 1)/6
Suppose 0 = -g + 5*b - 13, 4*g - 4*b - 2 = -6. Solve -21*f + 8*f**2 + 8*f**2 - f**g + 6 = 0 for f.
2/5, 1
Suppose 2*j + 4*b = 26, -2*b = 4*j - 5*j + 21. Find w, given that -182*w - 60 - 18*w**2 - 64*w**2 + j*w**2 + 22*w = 0.
-2, -6/13
Let z be (-4)/3 + 4/(-6) + -3. Let u = z - -33. Factor -85*y + 32 + 4*y**4 + 72*y**2 - 4*y**4 + 4*y**4 - u*y**3 + 5*y.
4*(y - 2)**3*(y - 1)
Let d be 12/(-14)*((-490)/(-175))/(84/(-70)). Let -20/7*y**4 + 0 + 2/7*y**5 - 120/7*y**d + 74/7*y**3 + 72/7*y = 0. Calculate y.
0, 2, 3
Let p(u) = -u**2 - 16*u - 63. Let l be p(-7). Let y(v) be the second derivative of 1/4*v**4 + v + 1/2*v**3 - 9*v**2 + l. Determine x, given that y(x) = 0.
-3, 2
Let r be (-36)/804 - (-57)/1273. Factor r + 2/5*k**3 + 2/5*k**2 + 0*k - 2/5*k**4 - 2/5*k**5.
-2*k**2*(k - 1)*(k + 1)**2/5
Let q be 6*((-62)/(-4) - (-593 - -608)). Solve -2/7*g**q + 1/7*g**5 + 2/7*g**4 - g - 8/7*g**2 - 2/7 = 0 for g.
-1, 2
Let 0*w - 36992/11*w**2 - 2/11*w**4 - 544/11*w**3 + 0 = 0. What is w?
-136, 0
Let u(r) be the third derivative of r**9/241920 + r**8/40320 - r**7/6720 + r**5/20 - 4*r**3 - r**2 + 4. Let o(k) be the third derivative of u(k). Factor o(q).
q*(q - 1)*(q + 3)/4
Let a = -3234523/15 + 215635. Factor 0 - a*u**3 + 2/15*u**2 + 0*u.
-2*u**2*(u - 1)/15
Let f(a) be the first derivative of -13 + 2/3*a**3 - 10*a - 7/6*a**4 + 3/10*a**5 + 0*a**2. Let y(b) be the first derivative of f(b). What is o in y(o) = 0?
0, 1/3, 2
What is o in -14062 - 14064 + 28126 + 5*o**4 - 500*o**2 + 980*o - 485*o**3 = 0?
-2, 0, 1, 98
Let k(m) = -61*m**2 - 1612*m + 72357. Let p(s) = -218*s**2 - 4835*s + 217069. Let l(o) = -14*k(o) + 4*p(o). Let l(w) = 0. Calculate w.
269/3
Determine h, given that 693/2 + 1671/4*h**2 + 147/4*h**3 + 2913/4*h + 3/4*h**4 = 0.
-33, -14, -1
Let g(f) be the first derivative of f**3/6 + 17*f**2/4 + 21*f + 1233. Factor g(u).
(u + 3)*(u + 14)/2
Let j be (-108)/(-24) - 1/2. Suppose 0 = c + 5*i + 13, -j*i - 2 = -2*c - 7*i. Find x such that 7 - 2*x + x + 4*x**2 - c*x - 3 = 0.
1
Let f(n) = n**3 - 2*n**2 + 2*n - 1. Let r be f(2). Solve 3*x**3 - 17*x**3 + 44*x**4 + 24*x + 4*x**2 - 5*x**5 - 50*x**3 - r*x**5 = 0.
-1/2, 0, 1, 2, 3
Suppose a - 20*a - 608 = 0. Let v be (-9)/(-24) + (220/a - -7). Factor x**2 + 0*x**4 + 0 + 0*x + 3/2*x**3 - v*x**5.
-x**2*(x - 2)*(x + 1)**2/2
Let r(k) be the first derivative of 25/6*k**3 - 5/16*k**4 + 218 + 45/2*k - 135/8*k**2. Factor r(t).
-5*(t - 6)*(t - 3)*(t - 1)/4
Let n = -1751 - -1711. Let x be (-64)/n*10/3. Suppose 2/3*l**2 - 14/3*l - x = 0. What is l?
-1, 8
Let p be ((-1)/(-1))/(1/5) - -6. Let w be (-11)/(p/2) + 1 + 1. Factor w - 1/2*b**3 - b**2 - 1/2*b.
-b*(b + 1)**2/2
Let m(i) = i**4 - 3*i**3 + i. Let q(h) = 271*h**4 + 562*h**3 + 35*h**2 - 324*h - 20. Let s(d) = -16*m(d) + q(d). Suppose s(y) = 0. What is y?
-2, -1, -1/17, 2/3
Let p(o) = o**3 + 18*o**2 + 6*o + 4. Let a be p(-18). Let m be 1 + 77/(-91) - 36/a. Factor 0*l + m*l**2 - 5/4*l**4 + 3/4*