+ 6*t(l). Find g, given that m(g) = 0.
-309, -1, 0
Suppose 0 = -6*d - 5*d - 77. Let n be 5 - (-5 + d/(-1)). Determine k, given that -2/7*k**4 - 6/7*k**2 + 0 + 6/7*k**n + 2/7*k = 0.
0, 1
Let f(s) = 12*s**2 + 16113*s - 27. Let t(z) = z**2 + 1240*z - 2. Let d(p) = 2*f(p) - 27*t(p). Find a such that d(a) = 0.
-418, 0
Suppose -379*u = -413*u + 306. Suppose 121*y = 118*y + u. Let 0 - 72/5*h - 24/5*h**2 - 2/5*h**y = 0. Calculate h.
-6, 0
Let v be (-2)/(-19) - ((-17520)/1064 + (-4)/(-7)). What is x in 2/3*x**3 - 32/3 - 6*x**2 + v*x = 0?
1, 4
Find d, given that 1552/9*d + 2/9*d**3 + 394/9*d**2 + 1544/9 = 0.
-193, -2
Let i(p) be the second derivative of 0 - 1/60*p**5 - 1/90*p**6 + 2/9*p**3 + 1/9*p**4 + 118*p + 0*p**2. Determine l, given that i(l) = 0.
-2, -1, 0, 2
Let p(c) = -c + 1. Let q be p(-1). Suppose 0 = -q*w - 105 + 109. Factor 4*s**4 - 11*s**3 - 21*s**w - 3*s**2 + s**3 + 6*s**3.
4*s**2*(s - 3)*(s + 2)
Suppose 0 = -3*r + 5*q + 433 - 127, q = -2*r + 204. Factor 11*h**4 + 38*h**3 - r*h**2 - 13*h**4 - 32 + 123*h - 25*h.
-2*(h - 16)*(h - 1)**3
Let y(c) be the third derivative of -c**7/525 - 31*c**6/900 - 31*c**5/450 + 47*c**4/180 + 2*c**3/5 - 26*c**2 - 10. Let y(o) = 0. What is o?
-9, -2, -1/3, 1
Let v be (-15746)/(-34) + 58/(-493). Factor v - 6*t**3 + 224 - 198 + t**3 + 231 - 115*t**2 - 600*t.
-5*(t - 1)*(t + 12)**2
Let h = 51 - 49. Let p be (-32)/(-14) + h/(-7). What is d in 2*d - 3*d**p - 5*d - 1 - 2 + 9 = 0?
-2, 1
Let r(w) = w**2 + 7*w + 12. Let f be r(-5). Solve -170*g - 28 + 87*g + 53*g - f*g**2 = 0.
-14, -1
Let v(y) be the first derivative of -y**4/2 + 4*y**3 - 3*y**2 - 20*y - 87. Suppose v(j) = 0. Calculate j.
-1, 2, 5
Let i be 10 + (0 - 2736/(-9)). Let k be -2 + (-142)/(-66) - i/(-1727). Find h, given that -4*h - 2*h**3 + 13/3*h**2 + 4/3 + k*h**4 = 0.
1, 2
Let x be ((-8)/12)/((-17)/((-1530)/(-48))). Let m(b) be the first derivative of 2/3*b**3 + b + 7 - 1/8*b**4 - x*b**2. Solve m(j) = 0 for j.
1, 2
Let h(t) be the first derivative of -2/39*t**3 - 450/13*t - 30/13*t**2 - 7. Solve h(o) = 0 for o.
-15
Let l(d) = d**2. Let a(g) = -10*g**2 + 3*g. Suppose -y - o - 2*o + 13 = 0, 0 = 4*y + 3*o - 25. Suppose -90 = w + y*w. Let i(x) = w*l(x) - 2*a(x). Factor i(u).
2*u*(u - 3)
Let p(c) be the third derivative of -1/168*c**8 - 1/105*c**5 - 2*c + 0*c**4 + 4/245*c**7 + 16*c**2 - 1/140*c**6 + 0 + 0*c**3. Find b, given that p(b) = 0.
-2/7, 0, 1
Let o = -1107958/3 - -369320. Let 16 - 20/3*a - o*a**2 = 0. What is a?
-12, 2
Let q be (-14*(-18)/(-441))/((-5)/7 - 0). Factor 12/5*w + 0 - q*w**2.
-4*w*(w - 3)/5
Factor -30/7*b**2 - 296/7*b + 2/7*b**3 - 264/7.
2*(b - 22)*(b + 1)*(b + 6)/7
Let j(h) be the second derivative of -h**5/720 + h**4/36 + 11*h**3/24 - 78*h**2 + 93*h. Let z(v) be the first derivative of j(v). Factor z(l).
-(l - 11)*(l + 3)/12
Let r(t) be the second derivative of 1/6*t**4 + 0 + 16*t**2 + 41*t - 8/3*t**3. Factor r(o).
2*(o - 4)**2
Let s = 956/10305 + 50/229. Let b(g) be the second derivative of -s*g**3 + 13*g - 1/3*g**2 + 1/30*g**4 + 0. Let b(w) = 0. What is w?
-1/3, 5
Let o(c) be the third derivative of -c**7/2520 + c**6/720 - 29*c**4/12 + 50*c**2. Let y(v) be the second derivative of o(v). Factor y(b).
-b*(b - 1)
Factor 14*o**2 - 244/9*o + 0 - 2/9*o**3.
-2*o*(o - 61)*(o - 2)/9
Let g(j) be the third derivative of 0*j**3 - 1/35*j**7 + 0*j - 18 + 0*j**4 - 1/168*j**8 - 1/30*j**6 + 0*j**5 + j**2. What is f in g(f) = 0?
-2, -1, 0
Let u(m) be the second derivative of -m**6/210 - 5*m**5/28 - 23*m**4/84 + 25*m**3/42 + 12*m**2/7 + 1644*m. Suppose u(w) = 0. What is w?
-24, -1, 1
Let z(f) be the first derivative of 7*f**6/36 + 8*f**5/15 - f**4/24 - 5*f**3/9 + 1923. Suppose z(a) = 0. Calculate a.
-2, -1, 0, 5/7
Let c(g) = g**2 + 24*g + 49. Let q be c(-23). Suppose 17*v**2 + 114*v + 2*v**3 + q*v + 60*v + 23*v**2 = 0. What is v?
-10, 0
Solve -2334/13*s + 1168/13 + 1164/13*s**2 + 2/13*s**3 = 0.
-584, 1
Let 54/5*n - 28/5 - 2/5*n**3 - 24/5*n**2 = 0. Calculate n.
-14, 1
Let t(v) be the first derivative of 2*v**3/3 + 2252*v**2 + 2535752*v + 1863. Factor t(n).
2*(n + 1126)**2
Suppose -6*m = -52*m + 2070. Let l be (m/5 + -9)/(-3). Factor 4/9*n + l - 2/3*n**2 + 2/9*n**4 + 0*n**3.
2*n*(n - 1)**2*(n + 2)/9
Let d(z) = z + 59. Let l be d(-9). Suppose l*u + 81*u**3 - 154*u - 11 + 0*u**3 - 207*u**2 - 1 = 0. Calculate u.
-2/9, 3
Factor 12663250/7*v**2 + 205350/7*v**3 + 0 + 2/7*v**5 + 0*v + 1110/7*v**4.
2*v**2*(v + 185)**3/7
Suppose -w + 5*k = 30, -51*k + 53*k - 12 = 2*w. Let u(a) be the second derivative of -40/3*a**3 + w - 3*a + 2*a**2 - 192/5*a**5 + 112/3*a**4. Factor u(t).
-4*(4*t - 1)**2*(12*t - 1)
Let y(s) be the second derivative of -s**5/110 - s**4/3 + 100*s**3/33 - 104*s**2/11 + s - 224. Solve y(t) = 0 for t.
-26, 2
Let q be -5 + 168/32 - ((-299)/(-92) + -5). Let 168/13*k - 2/13*k**q - 3528/13 = 0. What is k?
42
Solve 816/7 - 6/7*f**3 + 792/7*f + 180/7*f**2 = 0 for f.
-2, 34
Let j(l) be the second derivative of l**4/3 - 796*l**3 - 2390*l**2 - 311*l. Factor j(t).
4*(t - 1195)*(t + 1)
Let g(b) be the third derivative of -b**7/490 - 51*b**6/70 - 697*b**5/10 + 2415*b**4/2 + 11025*b**3/2 + 4729*b**2. What is t in g(t) = 0?
-105, -1, 7
Let u be ((-25)/((-225)/(-231)) + 23)/((-4)/3). Solve 42/5*v - 108/5 - 2/5*v**u = 0.
3, 18
Let v = -17447 - -17449. Determine l, given that 3/2*l**4 + 9/2*l**3 - 9/2*l - 3 + 3/2*l**v = 0.
-2, -1, 1
Let d be 10/56*(-176)/616. Let z = d + 47/98. Factor -3/7*b**2 + z*b**3 - 3/7*b + 0 + 3/7*b**4.
3*b*(b - 1)*(b + 1)**2/7
Let y(b) be the first derivative of -16/5*b**4 - 2/15*b**6 + 28/25*b**5 + 32/15*b**3 - 64/5*b + 32/5*b**2 + 45. Let y(a) = 0. Calculate a.
-1, 2
Let c be ((-1)/(-3))/(((-48)/(-63))/((-36)/(-21))). Factor 0 + 9/4*g - 21/4*g**3 - c*g**2 + 15/4*g**4.
3*g*(g - 1)**2*(5*g + 3)/4
Let 69*k**2 - 50*k**5 - 87*k**4 - 180*k**2 + 12*k**3 - 11*k**3 + 32*k**5 - 30*k - 151*k**3 = 0. Calculate k.
-2, -1, -5/6, 0
What is l in -2/7*l**2 + 46/7*l + 0 = 0?
0, 23
Let x(m) be the second derivative of -m**8/60480 - m**7/3240 + 17*m**6/6480 - m**5/120 + 2*m**4 + 75*m. Let y(j) be the third derivative of x(j). Factor y(v).
-(v - 1)**2*(v + 9)/9
Let d be (1/2)/((-2)/(-164)). Suppose -2*q = -5*u - 3*q + 25, -4*u - 5*q = -d. Suppose 10*f**2 - 4*f**3 - 17*f**2 + 0*f + 10*f + 9*f**2 + u = 0. What is f?
-1, -1/2, 2
Let d(b) be the second derivative of b**5/100 + 79*b**4/60 + 284*b**3/15 + 596*b - 11. Solve d(a) = 0.
-71, -8, 0
Let a(j) = 2*j**4 + 79*j**3 - 96*j**2 - 6*j - 3. Let d(r) = -r**3 + 6*r**2 + 2*r + 1. Let z(p) = -a(p) - 3*d(p). Factor z(t).
-2*t**2*(t - 1)*(t + 39)
Factor -59*m**2 - 223 + 405*m - 331*m**2 - 1194*m + 6*m**3 - 173 - 3*m**3.
3*(m - 132)*(m + 1)**2
Let s(k) be the first derivative of 13*k**2 - 125 - 2/3*k**3 + 28*k. Suppose s(q) = 0. Calculate q.
-1, 14
Let h(u) be the first derivative of -370*u + 5/3*u**3 + 265 + 175/2*u**2. Factor h(c).
5*(c - 2)*(c + 37)
Let c(a) = -2*a**2 + 31*a + 196. Let g(x) = 7*x**2 - 273 - 6*x**2 + 77 - 30*x. Let o(w) = -2*c(w) - 3*g(w). Factor o(f).
(f + 14)**2
Let x(m) = 19*m**2 + 3*m. Let j = -40 - -39. Let k be x(j). Find l such that 10 - 50*l**3 - 2*l**5 - k*l**4 - 56*l - l**5 + l**5 - 26 - 76*l**2 = 0.
-2, -1
Suppose 4*o + 3*s = 77 + 31, -4*o = -s - 108. Factor -v**2 - o - 6 - 12*v + 13.
-(v + 2)*(v + 10)
Let n(w) = -w**2 - w. Let m(d) = -7*d**2 - 4*d. Let g(p) = 2*m(p) - 11*n(p). Factor g(o).
-3*o*(o - 1)
Suppose 0 = -81*w + 83*w - 3688. Factor 1952 - k**2 + 2*k**2 - w + k**2 + 30*k - 4*k**2.
-2*(k - 18)*(k + 3)
Let m = 3211/16269 + -23/1479. Factor -16/11 - 8/11*i**4 + 8/11*i - 2/11*i**3 - m*i**5 + 20/11*i**2.
-2*(i - 1)**2*(i + 2)**3/11
Let d = -15719 + 15721. Let g(z) be the third derivative of -19*z**d + 0 - 1/36*z**3 - 1/120*z**5 + 1/48*z**4 + 1/720*z**6 + 0*z. Factor g(i).
(i - 1)**3/6
Let j = -12916 - -12926. Let v(k) be the first derivative of 3/2*k**2 - 3/4*k**4 + j + k**3 - 3*k. Suppose v(q) = 0. Calculate q.
-1, 1
Let d = 1/613 + 583/18390. Let r(c) be the second derivative of 13*c - d*c**6 - 1/6*c**3 + 1/20*c**5 - c**2 + 1/4*c**4 + 0. Factor r(b).
-(b - 2)*(b - 1)*(b + 1)**2
Suppose -m = 34*h - 111, 3*h - 322*m = -323*m + 18. Determine s so that -36/11*s - 18/11 + 2/11*s**4 + 4/11*s**h - 16/11*s**2 = 0.
-3, -1, 3
Let v(d) = -4*d**2 - 923*d - 53839. Let k(i) = -14*i**2 - 3230*i - 18843