**3 + 16*m + 20*m**4 - 3*m**3 + m**l + 11*m**3 = 0. What is m?
-2, 0, 2/5, 1
Let y = 4 + 1. Let -216 + y*z**2 + 35*z + 148 + 128 = 0. Calculate z.
-4, -3
Let l(h) = 23*h**2 - 202*h + 517. Let u(i) = 22*i**2 - 200*i + 516. Let z(s) = -2*s - 2. Let n be z(-3). Let x(o) = n*l(o) - 5*u(o). What is p in x(p) = 0?
16/3
Let v(b) = -b**4 + 2*b**3 - 15*b**2 + 14*b - 4. Let m(y) be the first derivative of y**4/2 + y**3/3 - y**2/2 + 32. Let k(a) = -6*m(a) - 3*v(a). Factor k(o).
3*(o - 2)**2*(o - 1)**2
Let d(l) = -l**2 + 4*l - 14. Let k(r) = 2*r**2 - 4*r + 15. Suppose -238 = -2*j - 232. Let t(c) = j*d(c) + 2*k(c). Find s, given that t(s) = 0.
-6, 2
Let l = -402694/5355 + 6678/85. Let m = l - 22/7. Factor 0 + 10/9*r**2 - 8/9*r - m*r**3.
-2*r*(r - 4)*(r - 1)/9
Let -82/9*b**3 - 266/9*b**4 + 386/9*b**2 + 8/9 + 112/9*b + 98/9*b**5 = 0. Calculate b.
-1, -1/7, 2
Let b(c) be the second derivative of -c**4/126 - 10*c**3/9 + 48*c**2/7 + 5228*c. Find g, given that b(g) = 0.
-72, 2
Let c be 441/(-294)*144/(-120). Find a, given that -12/5 + 3/5*a**2 - c*a = 0.
-1, 4
Let h(k) be the first derivative of 0*k - 63 - 6/7*k**2 - 8/21*k**3 + 1/7*k**4. Factor h(n).
4*n*(n - 3)*(n + 1)/7
Suppose -1011*p + 1827 - 72 = -267. Factor -1/4*n**2 + p - 1/2*n.
-(n - 2)*(n + 4)/4
Let y = 188579/17982 - -116/8991. What is q in 54 + y*q**2 - 3/4*q**3 - 45*q = 0?
2, 6
Let j(d) be the second derivative of -d**6/2 - 31*d**5/2 - 455*d**4/12 + 200*d**3/3 + 190*d**2 - 16*d + 100. Solve j(g) = 0 for g.
-19, -2, -2/3, 1
Let q(s) be the second derivative of 22188*s**4 - 344*s**3 + 2*s**2 - 249*s - 2. Factor q(l).
4*(258*l - 1)**2
Let t(l) be the first derivative of 15/16*l**4 - 3/20*l**5 + 5/4*l**3 - 1/8*l**6 - 3*l - 3/2*l**2 + 63. What is p in t(p) = 0?
-2, -1, 1, 2
Solve 390*p**4 + 1021035*p**2 - 1941450*p - 68115/2*p**3 - 3/2*p**5 + 954084 = 0 for p.
1, 86
Let y(d) be the first derivative of d**5/20 + 63*d**4/4 + 3969*d**3/2 + 124*d**2 + 3. Let j(b) be the second derivative of y(b). Find z such that j(z) = 0.
-63
Let 4/3*z**3 - 10/9*z - 2/9*z**5 - 8/9*z**4 + 8/9*z**2 + 0 = 0. What is z?
-5, -1, 0, 1
Let r(k) be the third derivative of -8/21*k**3 + 4 + 0*k - 2/735*k**7 - 1/42*k**6 + 9*k**2 + 2/21*k**4 + 1/21*k**5 + 1/588*k**8. Find w, given that r(w) = 0.
-2, -1, 1, 2
Suppose -2/3*o**2 - 2/15*o**4 + 22/15*o**3 - 94/15*o - 4 = 0. Calculate o.
-1, 3, 10
Let q(x) = x**2 + 18*x + 81. Let t be (-30)/(-40)*3*(-7 - -3). Let k be q(t). Factor k*i**2 - 1/3*i**3 + i - 2/3.
-(i - 1)**2*(i + 2)/3
Let m(f) = -5*f - 330 + 129 + 11*f. Let q be m(34). Factor 0*z**2 + 0 + 1/6*z**q - 1/6*z.
z*(z - 1)*(z + 1)/6
Let v be (3/2 - -12)/(72/16). Suppose -22/17*w + 4/17 - 72/17*w**2 + 90/17*w**v = 0. What is w?
-1/3, 2/15, 1
Factor 4/9*u**3 + 368/9*u**2 + 0 + 8464/9*u.
4*u*(u + 46)**2/9
Let l(k) be the first derivative of -k**4/18 - 58*k**3/9 - 841*k**2/3 - 112*k - 234. Let j(y) be the first derivative of l(y). Factor j(z).
-2*(z + 29)**2/3
Let j(i) be the first derivative of -124 + 6*i**2 - 1/5*i**5 - 4*i + 3/2*i**4 - 13/3*i**3. Suppose j(f) = 0. What is f?
1, 2
Let g = -258 - -346. Suppose 0*k + g = 22*k. Factor -4/5*v**k - 2/15*v**5 - 16/15*v**2 + 0*v - 8/5*v**3 + 0.
-2*v**2*(v + 2)**3/15
Let m(b) = 6*b**2 - 67*b + 13. Let g be m(11). Let y(r) be the first derivative of 10 + 4/3*r**3 + 0*r**g + 0*r - r**4. Factor y(h).
-4*h**2*(h - 1)
Let y = -290 - -293. Let v(d) = -7*d**4 + 46*d**3 - 65*d**2 + 29*d. Let h(a) = 20*a**4 - 136*a**3 + 196*a**2 - 88*a. Let n(g) = y*h(g) + 8*v(g). Factor n(c).
4*c*(c - 8)*(c - 1)**2
Let f(n) be the second derivative of -121/3*n**2 + 1/60*n**5 + 77/18*n**3 - 164*n + 5/9*n**4 + 0. Factor f(b).
(b - 2)*(b + 11)**2/3
Let f(b) be the second derivative of 13/6*b**3 + 0*b**5 + 0*b**2 + 9*b - 1/72*b**6 + 0*b**4 + 0. Let i(u) be the second derivative of f(u). Factor i(q).
-5*q**2
Factor -1/3*u**2 - 316*u - 947/3.
-(u + 1)*(u + 947)/3
Let d(z) be the third derivative of z**8/336 - 16*z**7/105 + 61*z**6/120 - z**5/2 - 2712*z**2. Factor d(i).
i**2*(i - 30)*(i - 1)**2
Suppose 5505*s - 7773*s - 42*s**3 + 286*s**2 + 263*s**2 + 2916 + s**4 = 0. Calculate s.
3, 18
Let z be -1 - (-7)/(-2) - 39/26. Let i be z*(2 + ((-22)/4 - -3)). Factor 4*r**2 + 6*r**2 + 6*r**3 + 5*r**4 + 0*r**2 + 9*r**i.
5*r**2*(r + 1)*(r + 2)
Let q = -19547 - -19573. Let v(i) be the second derivative of q*i + 0 + i**2 + 7/6*i**4 + 8/3*i**3. Suppose v(h) = 0. What is h?
-1, -1/7
Let h = -1611 + 1624. Let g be 14/(-90)*(7 - h). What is o in g*o - 8/15 + 4/15*o**2 = 0?
-4, 1/2
Suppose -3*q + 3*a + 34 = -2*q, 12 = -4*a. Let r be (-5 + 160/q)/(18/60). Factor 16/9*y**2 - 2/9*y**3 - r*y + 4.
-2*(y - 3)**2*(y - 2)/9
Let r(i) be the third derivative of -i**8/84 - 2*i**7/105 + 4*i**6/15 + 4*i**5/5 + 3*i**2 - 80. Factor r(b).
-4*b**2*(b - 3)*(b + 2)**2
Suppose -115*o + 255*o**2 - 4*o**3 + 236*o**2 - 70 - o**3 - 541*o**2 = 0. What is o?
-7, -2, -1
Let b(s) be the second derivative of 13*s**7/84 + 3*s**6 - 457*s**5/40 - 29*s**4/6 + 37*s**3 - 16*s**2 + 283*s. Let b(v) = 0. What is v?
-16, -1, 2/13, 1, 2
Factor -64*p**2 - 21*p**3 - 2646 - 6*p**3 - 16*p**3 - 728*p + 45*p**3 + 29686.
2*(p - 26)**2*(p + 20)
Let p(n) = 4*n**2 - 293*n + 289. Let a(g) = -3*g**2 + 288*g - 285. Let x(u) = 7*a(u) + 6*p(u). Factor x(d).
3*(d - 1)*(d + 87)
Factor -1/5*y**2 + 0 - 382/5*y.
-y*(y + 382)/5
Let g(k) be the second derivative of -2/9*k**3 + 0 + 1/18*k**4 - k**2 - 101*k. Find w, given that g(w) = 0.
-1, 3
Suppose 14*b = 84, 15*w + 4*b = -15*w + 29*w + 29. Factor g**4 + 3*g**3 + 0*g - 1/3*g**w + 5/3*g**2 + 0.
-g**2*(g - 5)*(g + 1)**2/3
Let j(t) be the first derivative of -2*t**3/27 + 8*t/9 + 7864. What is w in j(w) = 0?
-2, 2
Let b(d) be the second derivative of 3/10*d**5 + 0*d**2 + 0*d**4 + 2*d - 1/2*d**3 - 1/14*d**7 - 2 + 0*d**6. Solve b(k) = 0.
-1, 0, 1
Suppose -2*t - 14 = -2*q, -4*t + t - 9 = 0. Find k, given that 40*k**3 - 21*k + 8*k**q - 69 + 44*k**2 - 10*k**4 - 19*k + 27 = 0.
-1, 1, 21
Suppose -5*g = a - 171 + 672, -1464 = 3*a + 2*g. Let c = 490 + a. Determine f, given that -17*f**3 - 3/2*f**5 - 4*f + 0 - 14*f**2 - 17/2*f**c = 0.
-2, -1, -2/3, 0
Let y be (-285)/76 - 1491/(-284). Factor 1/4*k**5 + y*k**4 + 7/2*k**3 + 4*k**2 + 9/4*k + 1/2.
(k + 1)**4*(k + 2)/4
Let m be 36/(-3)*30/36*12/(-40). Let n(p) be the second derivative of 0 + 12*p**2 + p**m - 37*p - 1/4*p**4. Suppose n(j) = 0. What is j?
-2, 4
Let r(d) = 59*d**2 + 6665*d - 2194. Let k(a) = -15*a**2 - 1667*a + 548. Let o(m) = 11*k(m) + 3*r(m). Factor o(n).
2*(2*n + 277)*(3*n - 1)
Let w(y) = y + 8. Let d be w(-11). Let f(r) = 21*r**2 - 4*r - 3. Let n be f(d). Determine t, given that 198 - n - 4*t + 2*t**2 = 0.
0, 2
Let o = -496 + 501. Let f(u) be the third derivative of -29*u**2 + 1/3*u**o + 0*u + 5/3*u**3 + 25/24*u**4 + 1/24*u**6 + 0. What is g in f(g) = 0?
-2, -1
Let w(o) be the third derivative of 0*o**3 - 69*o**2 + 0*o**4 - 4/45*o**5 + 1/180*o**6 + 0 - 2*o. Factor w(l).
2*l**2*(l - 8)/3
Let x be 24/8 + (3/(-8))/((-25)/(-40)). Find m such that -27/5*m**3 - 3*m**2 + x*m + 0 = 0.
-1, 0, 4/9
Let v(y) be the third derivative of 1/165*y**5 + 0 + 0*y**4 + 0*y + 0*y**3 + 3/220*y**6 + 4*y**2 + 4/1155*y**7. Factor v(g).
2*g**2*(g + 2)*(4*g + 1)/11
Let m(v) be the second derivative of -v**5/120 + 5*v**4/36 + 32*v**3/9 + 24*v**2 + 2*v - 378. Factor m(r).
-(r - 18)*(r + 4)**2/6
Factor -4/9*v**3 + 4*v**2 + 1384/9*v + 448/3.
-4*(v - 24)*(v + 1)*(v + 14)/9
Let s be -1 - -11 - (-250)/(8 + -33). Let t(w) be the second derivative of 27*w + 4/27*w**3 + 2/9*w**2 + 1/36*w**4 + s. Factor t(l).
(l + 2)*(3*l + 2)/9
Factor -92 - 24 + 171 + 260 - 15*s**2 - 969*s + 75.
-3*(s + 65)*(5*s - 2)
Let d(r) = -2*r**2 - 3*r - 107. Let k be d(-7). Let h = 186 + k. Factor 6/7 + 12/7*i**h - 2/7*i**4 - 16/7*i + 0*i**3.
-2*(i - 1)**3*(i + 3)/7
Let b = -2 - -42. Let m = b - 31. Factor -m*v**4 + 8*v**3 + 4*v**4 - 4*v**2 - 8*v + 6 + 3*v**4.
-2*(v - 3)*(v - 1)**2*(v + 1)
Let r(q) be the third derivative of q**7/42 - q**6/3 - 37*q**5/12 + 20*q**4/3 + 110*q**3 - 18*q**2 + 345*q. Find d such that r(d) = 0.
-3, -2, 2, 11
Let l = -50138 + 50141. Let s = 15 + -15. Solve 3/5*t**5 + 3/5*t**l + 0*t + 6/5*t**4 + s*t**2 + 0 = 0.
-1, 0
Factor -162/5*l**2 - 2838/5*l - 2/5*l**3 - 14278/5.
-2*(l + 11)**2*(l + 59)/5
Let h(m) be the third derivative of 73/15*m**6