)/2
Let m = 233817 - 233815. Let -128/11 + 2/11*n**3 + 96/11*n + 30/11*n**m = 0. What is n?
-8, 1
Let s(g) be the third derivative of -g**6/600 - 229*g**5/100 - 52441*g**4/40 - 12008989*g**3/30 + 9*g**2 - 13. Factor s(u).
-(u + 229)**3/5
Let s(h) be the third derivative of -1/12*h**4 + 1/210*h**7 + 1/1008*h**8 - 11/180*h**5 - 1/120*h**6 + 0*h**3 - 2 - 23*h**2 + 0*h. Factor s(d).
d*(d - 2)*(d + 1)**2*(d + 3)/3
Let x(t) be the third derivative of -t**7/70 + t**6/8 + 3*t**5/10 + 2129*t**2. Solve x(l) = 0.
-1, 0, 6
Let z(w) = -w**2 - 41*w + 286. Let u be z(6). Let c be 13/(-36)*-2 - 1/2. Factor 0 - 2/9*d**3 - 2/9*d**2 + c*d**u + 2/9*d.
2*d*(d - 1)**2*(d + 1)/9
Let c(l) be the second derivative of -11 + 1/50*l**5 + 1/30*l**4 + 0*l**2 - 4*l - 2/5*l**3. Factor c(n).
2*n*(n - 2)*(n + 3)/5
Suppose -1116*j + 618*j + 882*j + 4*j**2 + 0*j**2 = 0. What is j?
-96, 0
Let s be (2/(-6))/((-22)/(-198)). Let k = 3 + s. Factor -4*f + 10*f + k*f**3 - 3*f**3 + 3*f**2.
-3*f*(f - 2)*(f + 1)
Suppose 3*j = -5*a + 25, 4833*j - 4828*j + 2*a - 10 = 0. What is w in j*w**3 + 2/7*w**4 + 1/7*w + 0 - 1/7*w**5 - 2/7*w**2 = 0?
-1, 0, 1
Suppose -53*g = -60*g. Let w(l) be the first derivative of 1/40*l**4 - 1/5*l**2 + g*l + 2/15*l**3 + 16 - 1/50*l**5. Factor w(c).
-c*(c - 2)*(c - 1)*(c + 2)/10
Let b(q) be the third derivative of q**8/1344 - 11*q**7/168 + q**4/12 + 3*q**3 - 4*q**2 - 11*q. Let d(s) be the second derivative of b(s). Factor d(f).
5*f**2*(f - 33)
Let q be -2*3 - (34 - 43). Determine r, given that -25*r**2 - 9*r**3 + 2*r**3 + 4*r + 17*r**2 + 5*r**4 + 0*r**q = 0.
-1, 0, 2/5, 2
Let k(y) be the first derivative of y**6/15 - y**5/75 + 13*y - 23. Let f(c) be the first derivative of k(c). Factor f(h).
2*h**3*(15*h - 2)/15
Suppose -8*c = -3*p - 10*c + 10, -4*p + 2*c + 4 = 0. Determine w so that -w**p - w**2 + 90 + 585*w + 2*w**2 - 546*w - 3*w**2 = 0.
-2, 15
Let h(x) be the third derivative of -2*x**7/105 - 11*x**6/15 - 148*x**5/15 - 39*x**4 + 270*x**3 + 3*x**2 + 672*x. Factor h(b).
-4*(b - 1)*(b + 5)*(b + 9)**2
Let m(s) be the second derivative of -s**5/20 + s**4/12 - 286*s. Let r(y) = 4*y**4 + 48*y**3 + 108*y**2 + 80*y. Let g(z) = -8*m(z) - r(z). Factor g(p).
-4*p*(p + 1)*(p + 4)*(p + 5)
Let o be (-342)/57 + 191/20 + (-39)/208*4. Determine n, given that 0 + 18/5*n**3 - 8/5*n + o*n**4 - 24/5*n**2 = 0.
-2, -2/7, 0, 1
Let c(t) be the third derivative of -t - 1/150*t**6 + 49*t**2 + 0*t**3 + 1/1680*t**8 - 1/350*t**7 + 0*t**5 + 0*t**4 + 0. Factor c(l).
l**3*(l - 4)*(l + 1)/5
Let v(b) be the first derivative of -b**4/7 - 740*b**3/21 + 748*b**2/7 + 2293. Factor v(p).
-4*p*(p - 2)*(p + 187)/7
Let n = -175729 + 175734. Factor 128/3*m**2 - 2/3*m**n + 0*m - 160/3*m**3 + 0 + 34/3*m**4.
-2*m**2*(m - 8)**2*(m - 1)/3
Let g(n) be the third derivative of -n**11/22176 + n**10/15120 - 7*n**5/15 - 13*n**2. Let z(k) be the third derivative of g(k). Factor z(j).
-5*j**4*(3*j - 2)
Let i(d) = d**3 - 12*d**2 - 11*d - 13. Let k be i(13). Suppose -k*n + 4*n = 16*n. Factor 3/2*j**3 + 24*j**2 + 96*j + n.
3*j*(j + 8)**2/2
Suppose -701*t + 700*t = -7. What is l in 14*l**4 - t*l + l**2 + 3*l**3 + 5*l - 3 - 13*l**4 - l + 1 = 0?
-2, -1, 1
Let p be (110/308)/(4/14) + (-3 - 475/(-100)). Let 54/7*l**2 - 3/7*l**p - 102/7 - 45/7*l = 0. What is l?
-1, 2, 17
Let m be 54/6*-4*-2*5/150. Let l(s) be the first derivative of -1/5*s**3 - m*s + 27 + 3/2*s**2. Factor l(t).
-3*(t - 4)*(t - 1)/5
Let a(c) be the second derivative of c**7/3360 + 61*c**6/480 + 3721*c**5/160 - 13*c**4/3 + 100*c. Let o(y) be the third derivative of a(y). Factor o(q).
3*(q + 61)**2/4
Let p(k) = 13*k**2 + 669*k + 639. Let j(o) = 3*o**2 + 167*o + 160. Let f(g) = -51*j(g) + 12*p(g). Determine z, given that f(z) = 0.
-1, 164
Let q(r) be the second derivative of -r**9/45360 + r**7/7560 + 2*r**4/3 + 2*r**2 + 2*r - 3. Let a(v) be the third derivative of q(v). Factor a(d).
-d**2*(d - 1)*(d + 1)/3
Let p(q) = -2*q**2 + 28*q + 3. Let r be p(14). Factor 12*f**2 - 2*f - 26*f**3 - 33*f**3 + 10*f + 63*f**r.
4*f*(f + 1)*(f + 2)
Let q(y) be the third derivative of y**5/100 + 134*y**4/5 + 143648*y**3/5 - 2*y**2 + 1178*y. Factor q(x).
3*(x + 536)**2/5
Determine m, given that 1014*m + 405*m**3 - 9*m**4 + 1105*m**2 + 312 + 108 - 5*m**5 + 44*m**4 + 146*m = 0.
-3, -2, -1, 14
Let c = 38 + -30. Factor 18*x - 5*x**2 - c*x - 5*x + 55*x.
-5*x*(x - 12)
Let m(b) be the first derivative of -18/7*b - 3 + 15/14*b**2 - 1/7*b**3. Factor m(j).
-3*(j - 3)*(j - 2)/7
Let v(w) be the first derivative of 9/2*w**2 + 3/20*w**4 + 27/5*w + 7/5*w**3 - 35. Factor v(j).
3*(j + 1)*(j + 3)**2/5
Suppose u = 21 - 5. Let b = 19 - u. Factor 7*o**2 + b*o**3 - 4 - 7*o**3 + 4*o**2 + 4*o - 7*o**2.
-4*(o - 1)**2*(o + 1)
Factor -1008*j**3 - 4*j**4 + 32*j + 24*j**2 + 3*j**4 + 1000*j**3 - 80.
-(j - 2)**2*(j + 2)*(j + 10)
Let b be (-438)/(-73)*(5/3 + -1). Factor 0*p**4 - 12*p**4 + 8*p**b - 12*p**3 + 8*p + 7*p**5 + 4*p**2 + 4*p**5 - 7*p**5.
4*p*(p - 2)*(p - 1)*(p + 1)**2
Let c(w) be the first derivative of -w**2 + 8/9*w**3 + 94 + 0*w + 7/6*w**4. Factor c(o).
2*o*(o + 1)*(7*o - 3)/3
Suppose 6*o - 72 = 4*o. Let r be 14/4 - (o/8 - 5). Let -r*n**2 + 8*n**2 + 8*n + 4 + 0 = 0. Calculate n.
-1
Let v be 108/24 - (15/5 - -1). Let h(m) be the second derivative of 0*m**2 - 1/4*m**4 - v*m**3 + 18*m + 0. Factor h(l).
-3*l*(l + 1)
Let h(r) be the third derivative of r**6/80 - 259*r**5/40 + 64*r**4 - 255*r**3 + r**2 - 574. Suppose h(d) = 0. Calculate d.
2, 255
Let i(m) be the second derivative of -2/15*m**6 + 0*m**2 + 0*m**5 + 0 + m**4 + 62*m + 4/3*m**3. Determine n so that i(n) = 0.
-1, 0, 2
Let z be ((-11)/(462/24))/((-2)/7). Factor 0*k**2 + 215*k**4 - 216*k**4 - z*k**3 + 12*k - 36 + 11*k**2.
-(k - 2)**2*(k + 3)**2
Let c be (4/10)/((-20)/(-500)). Find b, given that b**2 - c*b**2 + b**4 - 9*b - b**3 + 18*b = 0.
-3, 0, 1, 3
What is q in -46/9*q**3 + 0 - 16/9*q**4 - 2/9*q**5 - 8/3*q - 56/9*q**2 = 0?
-3, -2, -1, 0
Let a(h) be the second derivative of -h**4/6 - 1259*h**3/3 + 3135*h. Let a(s) = 0. What is s?
-1259, 0
Let g(c) be the first derivative of -3*c**4 - 3/5*c**5 - 2*c**3 + 6*c**2 + 9*c - 17. What is t in g(t) = 0?
-3, -1, 1
Let z(s) = -23*s**2 - 886*s - 63071. Let o(h) = 28*h**2 + 890*h + 63070. Let t(m) = -4*o(m) - 5*z(m). Factor t(j).
3*(j + 145)**2
Let k**3 - 636*k**2 + 320*k + 2630 + 3795*k + 2545*k - 19530 - 5*k**3 = 0. What is k?
-169, 5
Let f be 0*(-1 - -4)/(9/3). Let i(x) be the third derivative of -13*x**2 + f + 1/4*x**4 - 1/2*x**3 + 0*x - 1/20*x**5. Let i(k) = 0. What is k?
1
Let h be 1/(-8)*2*-1. Let v = -13673 - -13676. Factor 1/8*z**5 + 1/8*z**4 - 5/8*z**2 - 3/8*z**v + 0 - h*z.
z*(z - 2)*(z + 1)**3/8
Let i = -65096/15 - -12844/3. Let h = 884/15 + i. Suppose 2/15*j**2 - 2/3*j + h = 0. What is j?
1, 4
Let g(t) = 11*t + 82. Let a be g(-7). Factor -2028 - 55*y**2 + a*y**4 - 30*y - 20*y**3 + 2028.
5*y*(y - 6)*(y + 1)**2
Suppose -2/7*f**4 + 60/7 - 1/7*f**5 - 103/7*f + 22/7*f**2 + 24/7*f**3 = 0. What is f?
-5, -3, 1, 4
Let a(d) be the first derivative of -d**6/12 - d**5/2 + 5*d**4/12 + 5*d**3 - 45*d**2/4 + 21*d - 15. Let u(z) be the first derivative of a(z). Factor u(q).
-5*(q - 1)**2*(q + 3)**2/2
Suppose -24 - 26 = -z + 2*i, z = -i + 59. Suppose 54*s = z*s. Determine b so that 1/6*b**4 + s*b**3 + 0*b - 1/3*b**2 + 1/6 = 0.
-1, 1
Suppose 20*u + 74 - 154 = 0. Let t be (u/(-6))/(6/84*-7). Factor -16/3*b - 4/3*b**2 + t*b**3 + 16/3.
4*(b - 2)*(b - 1)*(b + 2)/3
Let p(k) be the first derivative of -11*k**5/2 - 45*k**4/4 + 455*k**3/6 + 45*k**2/2 - 200*k - 4903. Suppose p(x) = 0. What is x?
-40/11, -1, 1, 2
Let w be (16 + (-35 - -23))/2. Let b(c) be the second derivative of -w*c**2 + 0 + 28*c + 2/3*c**3 + 1/12*c**4 - 1/20*c**5. Factor b(r).
-(r - 2)*(r - 1)*(r + 2)
Let k = 37475 + -37473. Solve -1/4*c**2 + 0 + k*c = 0.
0, 8
Let t = -2151/38 - -2155/38. What is k in 2/19*k**2 + 2/19*k - 2/19 - t*k**3 = 0?
-1, 1
Let k = -174218/5 + 34846. Find z, given that 2/5*z**2 + 2/5*z - k = 0.
-3, 2
Let v(m) be the first derivative of -2*m**3/3 - 39*m**2 - 76*m - 2356. Determine n so that v(n) = 0.
-38, -1
Let c(x) be the second derivative of x**4/3 + 32*x**3/3 - 322*x**2 + 79*x - 1. Find l, given that c(l) = 0.
-23, 7
Let r(u) be the first derivative of 5*u**4/4 + 170*u**3/3 + 885*u**2/2 + 1260*u - 430. Suppose r(t) = 0. Calculate 