)/4
Let r be (16 - 16)/((-6)/3 - -3). What is a in r - 16/5*a**2 - 4/5*a**3 - 16/5*a = 0?
-2, 0
Let h(k) be the second derivative of -3/7*k**4 + 0*k**2 - 4/7*k**3 + 32*k - 9/70*k**5 - 3 - 1/70*k**6. Factor h(w).
-3*w*(w + 2)**3/7
Let w be -1 + (-23)/((-46)/32). Let u be (-18)/10*((-1197)/(-81) - w). Determine g so that 98/5 - 28/5*g + u*g**2 = 0.
7
Let d(n) be the second derivative of -2/9*n**4 - 7/18*n**3 + 4 + 0*n**2 - 3*n - 1/60*n**5. Determine r, given that d(r) = 0.
-7, -1, 0
Let i(d) = -21*d - 171. Let x be i(-8). Let h be 60/25 + 3/x*2. Suppose h - 1/5*s - 1/5*s**2 = 0. Calculate s.
-2, 1
Let c = 13 - 10. Suppose -2*a - 9 = -3*s, 3*a - 9 = -3*s + 4*a. Factor -7*l**2 + 5*l - 7*l + s*l**2 - 2*l**c.
-2*l*(l + 1)**2
Let i(n) be the second derivative of n**6/45 + n**5/10 - 2*n**4/9 - 824*n. Solve i(p) = 0 for p.
-4, 0, 1
Let n(r) be the first derivative of -1/13*r**2 + 2/13*r + 1/26*r**4 + 179 - 2/39*r**3. Factor n(a).
2*(a - 1)**2*(a + 1)/13
Let t(x) = -15*x**2 - 3*x + 1. Let h be t(-3). Let u = h - -127. Suppose 0*j + 1/4*j**5 - 1/4*j**u + 0 + 1/4*j**4 - 1/4*j**3 = 0. What is j?
-1, 0, 1
Let g = -211 - -223. What is v in -g*v**2 + 6*v**3 + 8*v**3 - 2*v**5 + 4*v**3 + 4*v**3 - 8*v**4 = 0?
-6, 0, 1
Let i(g) = 2*g**2 - 14*g + 7. Let n be i(7). Solve -12*d**3 + 4*d**4 - n*d**2 - 5*d**2 + 12*d + 8*d**2 = 0.
-1, 0, 1, 3
Suppose 15*g**5 - 1 - 35 - 2*g**4 - 111*g**3 + 25*g + g**4 + 27*g**2 + 71*g + 10*g**4 = 0. What is g?
-3, -1, 2/5, 1, 2
Let o(f) = 17*f**3 - 956*f**2 + 853*f + 76. Let h(t) = -50*t**3 + 2866*t**2 - 2558*t - 226. Let b(a) = -5*h(a) - 16*o(a). Factor b(g).
-2*(g - 43)*(g - 1)*(11*g + 1)
Suppose 2446*g = 2447*g - 131. Factor -169*r**2 + 124*r**3 + 36*r**4 + 36*r + 41*r**4 + 42*r**4 - g*r**4 + 21*r**2.
-4*r*(r - 9)*(r - 1)*(3*r - 1)
Let f(d) be the third derivative of 27*d**2 + 0 + 25/24*d**4 + 0*d - 1/24*d**6 - 5/84*d**8 + 4/21*d**7 - 5/6*d**3 - 7/12*d**5. Find o such that f(o) = 0.
-1, 1/2, 1
Let v(j) = 16*j**3 + 576*j**2 - 568*j + 6. Let k(h) = 10*h**3 + 576*h**2 - 570*h + 4. Let w(a) = 3*k(a) - 2*v(a). Factor w(n).
-2*n*(n - 287)*(n - 1)
Let m(v) be the first derivative of 2*v**4/9 - 1102*v**3/27 - 46*v**2/3 + 7873. Let m(o) = 0. What is o?
-1/4, 0, 138
Determine z, given that 5767 - 846*z - 1231 + 20*z**2 + 37974*z**3 - 75946*z**3 + 37974*z**3 = 0.
-28, 9
Let s = 2213 - 2209. Let b(j) be the first derivative of 21 - 175/4*j**s + 330*j**3 - 1080*j + 2*j**5 - 810*j**2. Solve b(p) = 0.
-1/2, 6
Let g = 49 - 54. Let d(k) = -k**2 - 6*k - 5. Let r be d(g). Determine q, given that 15*q**5 - 3*q + 9*q**5 - 23*q**5 + 2*q**3 - 9 - 5*q**4 + 14*q**2 + r*q = 0.
-1, 1, 3
Let l(g) = -4*g**3 - 50*g**2 - 52*g - 4. Let n(i) = 5*i**3 + 46*i**2 + 50*i + 6. Let h(c) = 6*l(c) + 4*n(c). Factor h(a).
-4*a*(a + 1)*(a + 28)
Let t be (-3 - 1) + -17 + (-10 - -35). Solve -1/4*r**t - 3*r**2 - 3/4 + 3/2*r**3 + 5/2*r = 0.
1, 3
Let j(q) be the first derivative of 432*q**3 + 0*q**2 + 36*q**4 + 4/5*q**5 - 29 + 0*q. Find l such that j(l) = 0.
-18, 0
Let d = -146 - -182. Solve d*y + 20*y**2 - 25*y - 24*y - 7*y + 5*y**3 - 5*y**4 = 0 for y.
-2, 0, 1, 2
Let w be 8 - ((-3 - (-92)/12) + 580/435). Let -4/5*m**w + 28*m - 136/5 = 0. Calculate m.
1, 34
Let b(o) be the first derivative of -o**7/4200 + o**6/300 - 3*o**5/200 + o**4/30 + 26*o**3/3 - 14. Let x(j) be the third derivative of b(j). Factor x(c).
-(c - 4)*(c - 1)**2/5
Let h be -1*(25 + -23)*((-126)/(-64) - 2). Let v(m) be the first derivative of m - 1/3*m**3 + 1/8*m**2 - h*m**4 - 13. Factor v(n).
-(n - 1)*(n + 1)*(n + 4)/4
Let z = -4963 - -4966. Determine m, given that -1/10*m**4 - 27/10 + 27/5*m + m**z - 18/5*m**2 = 0.
1, 3
Factor 880*i - 37018*i**2 - 37426 + 37014*i**2 - 10974.
-4*(i - 110)**2
What is i in 3176*i - 1533*i**4 - 528 - 5500*i**3 - 2952*i**2 + 49/2*i**5 = 0?
-2, 2/7, 66
Let z(q) be the second derivative of -q**4/3 - 580*q**3/3 + 582*q**2 + 4750*q. Factor z(k).
-4*(k - 1)*(k + 291)
Let v = 32 + -30. Factor 8 + 7 + 12*w + 20*w + 13 + 4*w**v.
4*(w + 1)*(w + 7)
Let g be (-12)/4 - (16 + -4). Let t(c) = -c**3 - 16*c**2 - 16*c - 12. Let r be t(g). Factor 4*d**4 + d**3 - 2*d**2 + d**2 - r*d**4 - d.
d*(d - 1)*(d + 1)**2
Let h(s) be the first derivative of -129/2*s**2 - 2 + 3/4*s**4 + 20*s**3 + 66*s. Factor h(v).
3*(v - 1)**2*(v + 22)
Let m(n) be the third derivative of 81*n**6/160 - 49*n**5/48 + n**4/48 + 3154*n**2. Factor m(u).
u*(u - 1)*(243*u - 2)/4
Let u(o) be the third derivative of o**6/60 - 3*o**5/10 - 49*o**4/12 - 13*o**3 - 242*o**2. Factor u(x).
2*(x - 13)*(x + 1)*(x + 3)
Let a(c) be the first derivative of c**4 - 460*c**3/3 + 8000*c**2 - 150000*c - 2187. Factor a(b).
4*(b - 50)**2*(b - 15)
Let i(r) be the second derivative of -r**7/1680 + 17*r**6/120 - 289*r**5/20 - 23*r**4/4 - 82*r. Let z(s) be the third derivative of i(s). Factor z(k).
-3*(k - 34)**2/2
Let r be (42/33)/((-1043)/(-3278)). Factor -q**2 + 7/3*q + 5/3*q**r - 7/3*q**3 - 2/3.
(q - 1)**2*(q + 1)*(5*q - 2)/3
Let f be (-1 - (0 + -1))/(4/(-4)). Let h(p) be the third derivative of -1/8*p**5 + 0 + 14*p**2 + 0*p + 1/8*p**4 + f*p**3. Factor h(m).
-3*m*(5*m - 2)/2
Let a = 887528 + -887523. Solve 1/4*f**a + 0 + 9/4*f**3 - 7/4*f**2 + 1/2*f - 5/4*f**4 = 0.
0, 1, 2
Let s(o) be the third derivative of o**8/3024 - 17*o**7/1890 + 7*o**6/72 - 55*o**5/108 + 125*o**4/108 + 3430*o**2. Find g, given that s(g) = 0.
0, 2, 5
Let s(c) be the third derivative of 827*c**5/330 + 829*c**4/132 + 2*c**3/33 + 2557*c**2. Let s(m) = 0. Calculate m.
-1, -2/827
Let s(u) be the second derivative of -5*u**4/12 + 5*u**3 - 20*u**2 + 3443*u. Factor s(r).
-5*(r - 4)*(r - 2)
Let f(s) = 5*s**2 - 247*s + 2. Let p(v) = -16*v**2 + 740*v - 7. Let z(y) = -7*f(y) - 2*p(y). Factor z(j).
-3*j*(j - 83)
Let d(l) = 3*l**2 + 3230*l + 3143. Let q(m) = 8*m**2 + 9669*m + 9430. Let w(r) = -44*d(r) + 16*q(r). Factor w(h).
-4*(h - 3147)*(h + 1)
Let z = 38/3545 + 6748/31905. What is u in 32/9*u**2 + z*u**3 + 32 + 56/3*u = 0?
-6, -4
Let l be (-209)/(-76) + -1*(-3)/21*(-98)/(-56). Determine t, given that -12/7 + 2/7*t**l - 10/7*t + 4/7*t**2 = 0.
-3, -1, 2
Let d(r) be the second derivative of -r**7/14 + 38*r**6/5 - 4323*r**5/20 - 113*r**4/2 + 2090*r**3 + 4332*r**2 - 1219*r. Find g, given that d(g) = 0.
-1, 2, 38
Let b be (1647/(-3843))/(112/(-378) - (-4)/14). Determine n so that -24*n**3 + b + 108*n**2 - 243/2*n = 0.
3/4, 3
Suppose -3 = 5*w - 2*i - 26, 5*i + 20 = 0. Let x = -217 + 435/2. Factor 9 - x*v**w + 4*v**2 - 21/2*v.
-(v - 3)**2*(v - 2)/2
Determine l so that 1768/9*l - 2/9*l**4 + 0 + 878/9*l**3 + 2648/9*l**2 = 0.
-2, -1, 0, 442
Let h(y) be the first derivative of y**4/18 + 112*y**3/27 - 532. Find q such that h(q) = 0.
-56, 0
Let x(r) be the second derivative of -1/195*r**6 + 1/273*r**7 - 1/65*r**5 + 3 + 1/39*r**4 - 1/13*r**2 - 14*r + 1/39*r**3. Determine k so that x(k) = 0.
-1, 1
Let p(o) be the first derivative of 2*o**3/27 - 17*o**2/9 - 4*o - 2366. Factor p(b).
2*(b - 18)*(b + 1)/9
Let f(s) be the third derivative of -1/4*s**6 + 5/336*s**8 + 0*s + 0*s**3 + 0 + 126*s**2 + 25/24*s**4 + 2/21*s**7 - 1/3*s**5. Suppose f(h) = 0. Calculate h.
-5, -1, 0, 1
Suppose -392/9*m**2 - 1760/9 + 5284/9*m**3 - 5264/9*m + 16/9*m**5 - 1808/9*m**4 = 0. Calculate m.
-1/2, 2, 110
Factor 5*a**2 - 5*a**2 - 193*a - 23 + 209 + 10*a - 3*a**2.
-3*(a - 1)*(a + 62)
Suppose -9*w + 2*c = -5*w + 8, 2*c = -4*w - 24. Let j be -2*w/32 + (-14)/(-8). Factor -f**2 + 0*f**2 - j*f**4 - f**3 + f**2 - f**5.
-f**3*(f + 1)**2
Suppose 0 = -4*d - 0*q + 4*q + 8, -3*d + 6 = 5*q. Let k be -1 - -9 - 13/d. Find b such that -2*b - k - 1/2*b**2 = 0.
-3, -1
Let f(s) be the third derivative of s**6/60 - 819*s**5/10 + 670761*s**4/4 - 183117753*s**3 + 98*s**2. Factor f(d).
2*(d - 819)**3
Find b such that -112 + 66287*b + b**3 - 4*b**3 + 4*b**3 - 66143*b - 33*b**2 = 0.
1, 4, 28
Let h(l) be the second derivative of l**4/6 - 2*l**3 - 40*l**2 + 31*l - 20. Factor h(w).
2*(w - 10)*(w + 4)
Factor 172/7*s + 174/7 - 2/7*s**2.
-2*(s - 87)*(s + 1)/7
Factor -12/7 + 8/7*j**2 - 2/7*j**3 - 2/7*j.
-2*(j - 3)*(j - 2)*(j + 1)/7
Let z be (-4 + 4 - 219) + -1. Let i = 226 + z. Factor -i*u - 2/5*u**3 + 18/5 + 14/5*u**2.
-2*(u - 3)**2*(u - 1)/5
Let h(o) be the first derivative of -5/12*o**3 + 137 - 1/20*o**5 + 5/8*o**2 - 5/16*o**4 + 3/2*o. Solve h(z) = 0 for z.
-3, -2, -1