z**2 + 9*z - 12. Let x be g(-6). Suppose -6 = -6*i + x. Suppose 9*u**2 - i*u**3 + 50 + 3*u**3 + 15*u - 43 = 0. What is u?
-7, -1
Let a(c) be the first derivative of -c**8/4200 + c**6/300 + c**5/150 - 16*c**3 - 47. Let n(l) be the third derivative of a(l). Determine m, given that n(m) = 0.
-1, 0, 2
Factor -208*z**2 - 156*z - 167*z**2 - 1728 + 372*z**2.
-3*(z + 16)*(z + 36)
What is b in -26/3*b - 56/3 + 1/3*b**2 = 0?
-2, 28
Suppose -5*b + 468 = -4*a, 2*b + b - 5*a - 273 = 0. Suppose 0 = s + 5*s - b. Factor 20*o**4 + 60*o**2 - s*o + 71*o**3 - 4*o**3 + 8*o**3 - 4*o.
5*o*(o + 2)**2*(4*o - 1)
Let y(w) = w + 56. Let l be y(-13). Let f(s) = s**3 - 42*s**2 - 41*s - 86. Let q be f(l). What is x in 4/3*x**3 - 4/3*x**4 - 4/3*x**5 + 4/3*x**2 + 0*x + q = 0?
-1, 0, 1
Let a(j) be the first derivative of -j**4/4 + 11*j**3/4 + 9*j**2/2 - 16*j - 73. Let w(s) be the first derivative of a(s). Factor w(l).
-3*(l - 6)*(2*l + 1)/2
Suppose 736*u - 1 + 1 = 609*u. Factor 7/8*o**4 + u*o + 1/8*o**5 + 0 + 0*o**2 + 3/4*o**3.
o**3*(o + 1)*(o + 6)/8
Let k(w) be the second derivative of 2/3*w**3 + 0*w**2 + 0 - 1/6*w**4 + 38*w - 1/10*w**5. Factor k(r).
-2*r*(r - 1)*(r + 2)
Let c(z) = -597*z + 251937. Let g be c(422). Factor -189/2*a - 3/2*a**g - 243/2 - 45/2*a**2.
-3*(a + 3)**2*(a + 9)/2
Suppose 245*n - 78*n = 88*n + 158. Let -4*o - 14 - 2/7*o**n = 0. What is o?
-7
Suppose -953 + 2873 - 30*a**2 + 6582*a**3 - 6587*a**3 + 920*a = 0. Calculate a.
-16, -2, 12
Let l = 943 + -1889. Let x be (19 - l/(-44))*1/(-5). Find o, given that -5/4*o - 33/4*o**2 + x = 0.
-1/3, 2/11
Let t(c) be the third derivative of -c**6/2880 + c**5/80 - 11*c**4/192 + 47*c**3/3 + 2*c**2 - 2*c. Let k(r) be the first derivative of t(r). Factor k(b).
-(b - 11)*(b - 1)/8
Suppose -2*w = 33*w - 65*w + 90. Find r, given that -5/2*r**4 + 25*r**w - 185/2*r**2 + 150*r - 90 = 0.
2, 3
Let n(c) = -12*c - 24. Let t be n(-2). Let l(k) be the second derivative of -10*k**3 + 20*k**2 + 8*k + 5/2*k**4 - 1/4*k**5 + t. Let l(x) = 0. What is x?
2
Let s(t) be the third derivative of t**6/600 + t**5/30 - 211*t**4/120 - 22*t**3/3 - 441*t**2 - 3*t. Find y such that s(y) = 0.
-20, -1, 11
Let x(s) be the third derivative of -s**5/210 + 33*s**4/14 + 199*s**3/21 + 734*s**2 - 3*s. Let x(z) = 0. What is z?
-1, 199
Suppose 0 = -11*x + 410 - 883. Let p = x - -43. Suppose 4/7*u**2 + p + 4/7*u = 0. Calculate u.
-1, 0
Factor 1/4*o**3 + 87/2*o + 0 - 61/4*o**2.
o*(o - 58)*(o - 3)/4
Let a(t) be the first derivative of t**2 - 1/2*t**4 - 30 + 6*t - 2*t**3. Factor a(x).
-2*(x - 1)*(x + 1)*(x + 3)
Let 14/3*j**4 - 2*j**3 - 48*j**2 + 0 + 0*j = 0. Calculate j.
-3, 0, 24/7
Suppose 0*t - 48 = -3*t + 5*b, -2*b = -0*b. Let m(j) be the first derivative of -t - 2/3*j**2 - 2/9*j**3 + 0*j + 1/3*j**4 + 2/15*j**5. Factor m(k).
2*k*(k - 1)*(k + 1)*(k + 2)/3
Let l be 7/(-14) + (-49)/(-42). Let v(w) be the second derivative of -l*w**4 - 1/3*w**3 + 0 + 0*w**2 - 2/15*w**6 - 1/2*w**5 + 9*w. Factor v(m).
-2*m*(m + 1)**2*(2*m + 1)
Let v be -18 + 3796/78 + 30/9. Let -v*m**3 + 0 - 9826/3*m + 578*m**2 + 2/3*m**4 = 0. Calculate m.
0, 17
Suppose -q - 21 = -3*b, 0 = -5*q - 4*b + 4 - 14. Let h be 44/12 - 8/q - 3. Find a, given that 2/9*a**4 + 0 + 4/9*a**3 + 0*a + 2/9*a**h = 0.
-1, 0
Let m be 52/(-14)*11/(2288/(-1092)). Let m*o + 9 + 12*o**2 + 3/2*o**3 = 0. What is o?
-6, -1
Let h(v) be the first derivative of v**6/16 - 9*v**4/16 - v**3 - 9*v**2/16 - 790. Let h(i) = 0. Calculate i.
-1, 0, 3
Let p be 1/(5/(-360))*-3*(-5)/(-150). Suppose -2/5*g**2 + p - 14/5*g = 0. Calculate g.
-9, 2
Let v(p) be the first derivative of -8 - 1/3*p**4 + 0*p**2 - 1/18*p**5 - 1/270*p**6 + 17/3*p**3 + 0*p. Let j(k) be the third derivative of v(k). Factor j(b).
-4*(b + 2)*(b + 3)/3
Let n = -97 - -100. Solve -16*y + 150*y**3 - 18*y**2 - 148*y**n + 4*y**2 = 0.
-1, 0, 8
Suppose -5*p + 326 = -374. Let s = -137 + p. Find r such that 8/3*r**4 + 0 - 2/3*r**5 - 10/3*r**s + 4/3*r**2 + 0*r = 0.
0, 1, 2
Let d(a) = 5*a**2 + 11*a + 244 + a**2 + 0*a**2 - 7*a**2. Let z be d(22). Suppose 0 + 0*m - 8/7*m**z + 2/7*m**3 = 0. What is m?
0, 4
Let k be (-15)/(-4)*40/(-15). Let z(c) = -6*c - 58. Let j be z(k). Suppose -406*p**2 + 210*p**2 + 16*p + 2 + 2 + 16*p**3 + 220*p**j + 4*p**4 = 0. What is p?
-1
Let z(h) = -h - 8. Let i be z(-32). Solve 16*g - i*g**2 - 12*g**2 + 4*g**4 + 21 + 27 = 0 for g.
-3, -1, 2
Let a(r) = -1798*r + 34162. Let v be a(19). Determine m, given that -48/5*m**3 - 32/5*m**2 - 18/5*m**4 + v*m + 0 - 2/5*m**5 = 0.
-4, -1, 0
Let a be ((-56)/(-21))/8*(-21066)/(-10). Let q = -699 + a. Factor -q*i + 16/5 - 4/5*i**2 + 4/5*i**3.
4*(i - 2)*(i - 1)*(i + 2)/5
Let b = 141591/10 + -14159. Let o(v) be the second derivative of -1/4*v**4 + 9*v + 0 + b*v**6 - 1/2*v**3 + 0*v**2 + 3/20*v**5. Find g such that o(g) = 0.
-1, 0, 1
Let a(d) be the first derivative of -d**5/15 - 5*d**4/4 + 71*d**3/9 - 31*d**2/2 + 38*d/3 + 986. Factor a(s).
-(s - 2)*(s - 1)**2*(s + 19)/3
Let g be (-8)/240*-25 + 5/(-6). Let j(h) be the third derivative of 0 + 1/210*h**5 - 1/84*h**4 + g*h + 7*h**2 - 2/21*h**3. Determine x, given that j(x) = 0.
-1, 2
Let q = -5285/24 - -58903/264. Factor -2/11*k**3 + 0 + 0*k - q*k**2.
-2*k**2*(k + 16)/11
Let f = 95312 - 95310. Factor 8*i + 1/2*i**f - 57/2.
(i - 3)*(i + 19)/2
Suppose -50165*s**2 - 29535*s**2 + 45007 + 19150*s**2 + 450*s - 696*s**3 + 15545 - 2*s**4 + 246*s = 0. What is s?
-174, -1, 1
Suppose -4*s + 24 = 0, -13*h + s - 30 = -19*h. Factor -24/5*t**3 - 92/5*t**2 - 10 - 24*t - 2/5*t**h.
-2*(t + 1)**2*(t + 5)**2/5
Factor -440*t**3 - 173*t**3 - 3773*t**2 + 3846 - 10890*t + 44*t**3 - t**5 - 39*t**4 - 14494.
-(t + 2)*(t + 4)*(t + 11)**3
Let n(r) = -26*r**3 - 1225*r**2 + 1619*r - 324. Let i(b) = -20*b**3 - 919*b**2 + 1214*b - 243. Let x(t) = 11*i(t) - 8*n(t). Solve x(m) = 0.
-27, 1/4, 1
Suppose y = -5*p + 33, -9*y + 21 = 3*p - 8*y. Find z, given that -196*z**2 + 43*z - 47*z + 96*z**3 + 18 + p = 0.
-1/3, 3/8, 2
Let j be 5/3*(-48)/40. Let a(b) = -44*b**2 + 39*b + 5. Let x(n) = 2*n**2 - 2*n. Let y(p) = j*x(p) - a(p). Factor y(t).
5*(t - 1)*(8*t + 1)
Suppose -3*d + 2*y = -7, -3*d - 3 = y - 13. Factor -2/7*k**d + 0*k + 0 - 20/7*k**2.
-2*k**2*(k + 10)/7
Let h = 454415/8 + -56767. Factor 39/2*l + 15/8*l**3 + 27/2 - h*l**2.
3*(l - 18)*(l - 1)*(5*l + 2)/8
Let s(q) be the third derivative of -q**8/840 + q**7/15 - 41*q**6/50 - 559*q**5/75 + 247*q**4/60 + 361*q**3/5 + 65*q**2 + 2*q. Solve s(o) = 0 for o.
-3, -1, 1, 19
Let r = 2/134901 + 5261129/674505. Factor r*p**2 - 6/5*p + 0.
3*p*(13*p - 2)/5
Suppose -8*q - 43 = -259. Solve 2000 - 519*d + q*d**3 - 89*d**3 + 660*d**2 - 260*d - 1821*d + 2*d**4 = 0 for d.
1, 10
Factor 165/2*y - 75/4*y**2 - 363/4.
-3*(5*y - 11)**2/4
Suppose -7142*q = -7152*q. Factor 0 + q*o - 1/2*o**2.
-o**2/2
Suppose 1/5*u**5 + 0 + 76/5*u**2 + 0*u - 91/5*u**3 + 14/5*u**4 = 0. What is u?
-19, 0, 1, 4
Let p be (-114026)/(-16060) + -2*(-1)/(-4). Let -72/5 + 132/5*f - 18/5*f**2 + 9/5*f**4 - p*f**3 = 0. What is f?
-2, 2/3, 2, 3
Let x(j) be the second derivative of 2*j + 0*j**2 + 2/5*j**6 - 9/20*j**5 + 0*j**4 + 0*j**3 - 1/14*j**7 + 94. Factor x(y).
-3*y**3*(y - 3)*(y - 1)
Let u(z) be the third derivative of -z**7/1470 + 11*z**6/840 - 13*z**5/140 + 15*z**4/56 + 645*z**2. Factor u(v).
-v*(v - 5)*(v - 3)**2/7
Let k(o) be the second derivative of -1/3*o**2 - 11/60*o**5 - 2/45*o**6 + 0 - 1/252*o**7 + 9*o - 17/36*o**3 - 7/18*o**4. Suppose k(a) = 0. Calculate a.
-4, -1
Let u(t) = t**3 + 645*t**2 - 594*t**2 - 242 + 34*t + 71*t - 12*t. Let z be u(-49). Find y such that 8/3*y**5 + 4*y**4 + 8/3 - 20/3*y**z - 20/3*y**2 + 4*y = 0.
-2, -1, -1/2, 1
Let w(d) be the second derivative of 2*d**6/135 - 247*d**5/9 + 126896*d**4/9 + 84872*d**3/3 - 110*d. Factor w(m).
4*m*(m - 618)**2*(m + 1)/9
Find a, given that -4329/5*a**2 + 114/5*a**3 - 58320 - 1/5*a**4 + 12312*a = 0.
12, 45
Suppose 33/10*h**3 + 189/5*h**2 - 324 - 8/5*h**4 - 378/5*h + 1/10*h**5 = 0. What is h?
-3, 6, 10
Let v(z) = -2*z**3 + 44*z**2 - 257*z - 13. Let r(p) = p**3 - 22*p**2 + 126*p + 6. Let f(k) = 13*r(k) + 6*v(k). Find a such that f(a) = 0.
0, 6, 16
Let b(z) be the first derivative of 0*z**2 + 0*z + 1/8*z**4 + 267 + 11/6*z**3. Factor b(i).
i**2*(i + 11)/2
Let m = -7175 + 7179. Let y(j) be the first derivative of 11 - 23/30*j**5 + 1/4*j**2 - 5/8*j**m + 1/3*j**6 - 1/