at is i?
-62, -9
Suppose 0 = -4*w + i + 5, 3*w + 651 = -5*i + 672. Let d(b) be the second derivative of -1/42*b**4 + 4/7*b**3 + 0 - 36/7*b**w + 18*b. Factor d(j).
-2*(j - 6)**2/7
Let f(y) be the third derivative of y**5/60 - y**4/12 - 191*y**3/6 - 14*y**2 + 5. Let z be f(15). Factor 0 - 26/3*c**3 - 4*c**z - 8/3*c - 8*c**2 - 2/3*c**5.
-2*c*(c + 1)**2*(c + 2)**2/3
Let i be (((-90)/(-8))/(-5))/(1/(-36)). Let j be (-27)/i - (-1 + 8/(-6)). Find u, given that 19*u**j - 24*u**2 + 0 + 5 = 0.
-1, 1
Let t(o) be the second derivative of o**8/1050 - o**7/525 + o**6/600 - o**5/1200 + 13*o**4/12 - 2*o + 4. Let n(k) be the third derivative of t(k). Factor n(v).
(4*v - 1)**3/10
Let c(s) = s**2 + 5*s. Let p(t) = -2*t**4 + 110*t**3 - 2267*t**2 + 20593*t - 70304. Let i(h) = 10*c(h) + 2*p(h). Factor i(f).
-4*(f - 16)*(f - 13)**3
Let z(k) = -21*k - 113. Let s be z(-5). Let j be (-180)/(-240) + (-10)/s. Determine g so that 1/8*g**4 - 1/4*g**3 + 3/8*g**5 + 0 + 0*g + 0*g**j = 0.
-1, 0, 2/3
Let l(x) be the third derivative of -3/44*x**4 + 0*x + 0*x**3 - 33*x**2 - 1/44*x**6 - 7/110*x**5 - 1/385*x**7 + 0. Factor l(d).
-6*d*(d + 1)**2*(d + 3)/11
Let j be (-25)/100 - (1 + 33/(-20)). Suppose -17*u - 520 = -520. Solve 1/5*l**2 + u*l - 2/5*l**3 - 1/5*l**4 + j*l**5 + 0 = 0 for l.
-1, 0, 1/2, 1
Let u(z) be the second derivative of -z**5/5 - 161*z**4/3 - 290*z + 6. Determine m, given that u(m) = 0.
-161, 0
Let o = -8645 - -8649. Let f(l) be the third derivative of 0 + 1/96*l**o + 1/240*l**5 + 0*l + 20*l**2 - 1/12*l**3. Let f(t) = 0. Calculate t.
-2, 1
Let d be (-234)/(-116) - (-1094)/(-63452). Suppose 2/5*f**3 + 0*f**d - 6/5*f - 4/5 = 0. Calculate f.
-1, 2
Find z such that -11949 + 9669 + 0*z**2 + 5*z**2 - 386*z - 359*z = 0.
-3, 152
Let y(c) be the first derivative of -5/3*c**3 - 4205*c - 88 - 145*c**2. Solve y(m) = 0.
-29
Let l(m) = -m**2 + 7*m - 9. Let c be ((-2)/(-6))/(-1*4/(-36)). Let d be l(c). Determine x, given that 8*x**2 - 4*x + 3*x**3 + 41*x**d + 4*x = 0.
-2/11, 0
Let n be (-2 + 48/15)*(-50)/(-20). Factor -77*o**n - 45*o + 72*o**3 + 15*o**2 + 8 + 15*o**2 - 2 + 14.
-5*(o - 4)*(o - 1)**2
Find z such that 177975 - 2218 + 192391 - 1728*z + 152566 + z**2 + 225782 = 0.
864
Let n(i) be the second derivative of -i**6/2340 + i**4/156 + 5*i**3/2 + i + 24. Let u(b) be the second derivative of n(b). Factor u(v).
-2*(v - 1)*(v + 1)/13
Let l be ((1296/(-11340))/(12/(-5)))/(-4*4/(-48)). Factor l*d**2 + 0 + 52/7*d.
d*(d + 52)/7
Let m be ((-74)/(-5))/((-6)/(-30)). Factor -75*o**4 - 42*o**4 + 0*o**5 - o**5 + m*o**4.
-o**4*(o + 43)
Let i be ((-15)/21 - 8103/259)*1/(-10). Suppose -i + 2/5*m**4 + 14/5*m**2 + 18/5*m - 18/5*m**3 = 0. Calculate m.
-1, 1, 8
Suppose 2*w + 25 = 3*s + w, 3 = -3*w. Factor 9*r**2 - s*r**2 - 4*r - 1 + 4*r.
(r - 1)*(r + 1)
Suppose -i + 5*i = -100. Let g = -23 - i. Solve 95*f - 79*f + 3*f**2 + 12 + f**g = 0.
-3, -1
Factor 1/3*o**2 - 10/9*o - 8/9.
(o - 4)*(3*o + 2)/9
Let r be ((-3)/(-9))/(12/(-18))*-316. Solve 9*d + 155*d**2 - r*d**2 + 0*d = 0 for d.
0, 3
Determine l, given that -70*l**5 + 96/7 + 2976/7*l**2 - 4114/7*l**3 - 904/7*l + 348*l**4 = 0.
2/7, 1, 12/5
Solve -35/4*c**3 + 0 - 1/4*c**5 + 0*c - 7/2*c**4 - 11/2*c**2 = 0.
-11, -2, -1, 0
Let i(g) = -30*g + 333. Let n be i(11). Suppose 4*z + 46 = n*j + 40, -8 = -4*j + 3*z. Find b, given that 0 + 1/4*b - 1/2*b**j + 1/4*b**3 = 0.
0, 1
Factor 3*x**4 - 10*x**4 - 5*x + 4*x**2 - 28*x**5 + 27*x**5 + 3*x**4 + 6*x**3.
-x*(x - 1)**2*(x + 1)*(x + 5)
Let n(f) be the second derivative of f**4/6 - 1540*f**3/3 + 592900*f**2 + 1486*f. Solve n(v) = 0 for v.
770
Let d(w) be the second derivative of -3*w**5/80 - 7*w**4/96 + w**3/12 - 36*w**2 + 3*w - 3. Let z(c) be the first derivative of d(c). Factor z(b).
-(b + 1)*(9*b - 2)/4
Let q(a) be the third derivative of -a**8/6720 + 37*a**7/420 - 1369*a**6/60 - 17*a**5/5 + 168*a**2. Let x(o) be the third derivative of q(o). Factor x(y).
-3*(y - 74)**2
Let b(l) be the first derivative of 55*l**6/6 - 174*l**5 + 1185*l**4/2 + 8380*l**3/3 + 5895*l**2/2 + 810*l + 1041. What is s in b(s) = 0?
-1, -2/11, 9
Let i(k) be the third derivative of 3/4*k**4 - 10/3*k**3 + 1/30*k**5 + 0 - k**2 - 90*k. Factor i(r).
2*(r - 1)*(r + 10)
Let j be (3*(5 + -3))/(3/2). Let f(y) = y**3 - 3*y**2 - 6*y + 10. Let q be f(j). Factor 3*t**2 + 2*t**q + 4*t + 2 - 3*t**2.
2*(t + 1)**2
Factor 1964*m + 109*m**3 - 3*m**4 + 564*m**2 + 1798*m + 351 - 2952*m - 7*m**3.
-3*(m - 39)*(m + 1)**2*(m + 3)
Let y(n) be the second derivative of -n**5/110 - 255*n**4/22 - 65025*n**3/11 - 16581375*n**2/11 + 24*n - 31. Factor y(c).
-2*(c + 255)**3/11
Let a = -18126 - -18130. Let k(i) be the first derivative of -a*i**2 - 4/3*i**3 + 12*i - 6. Factor k(g).
-4*(g - 1)*(g + 3)
Let h be (-1261)/(-572) + (-320)/220. Factor 9/2 + 15/4*f + h*f**2.
3*(f + 2)*(f + 3)/4
Suppose 12*p - 84 = 60. Suppose -16 = -4*k + 2*j, -5*j = -5*k + p + 13. What is q in 6*q**k - 12 + 26*q - 6*q**3 + 3*q**3 - 15*q**2 - 2*q = 0?
1, 2
Let s(d) be the first derivative of 2*d**5/15 + 3*d**4/2 - 194*d**3/9 - 35*d**2 + 2021. Determine q, given that s(q) = 0.
-15, -1, 0, 7
Let k(a) = 15*a**3 + 58*a**2 - 383*a + 354. Let j(h) = -8*h**3 - 28*h**2 + 192*h - 180. Let v(m) = -11*j(m) - 6*k(m). Factor v(y).
-2*(y - 3)*(y - 1)*(y + 24)
Let b(t) be the first derivative of 110 + 3/4*t**4 + 81*t - 159/2*t**2 + 25*t**3. Factor b(y).
3*(y - 1)**2*(y + 27)
Suppose -159/2 - 1/6*d**3 - 59/6*d**2 - 109/2*d = 0. Calculate d.
-53, -3
Let d(n) be the first derivative of -n**6/24 - 408*n**5/5 - 41616*n**4 + 271. Find k such that d(k) = 0.
-816, 0
Let h(u) be the first derivative of -9/5*u**4 - 3*u**2 + 0*u + 3/25*u**5 + 21/5*u**3 - 137. Factor h(f).
3*f*(f - 10)*(f - 1)**2/5
Let u(i) = -16*i - 63. Let x(r) = 24*r + 95. Let y(o) = 8*u(o) + 5*x(o). Let p be y(-4). Factor -15*l**2 + 29*l**3 - 16*l**3 - 7*l**3 + 20 - 11*l**p.
-5*(l - 1)*(l + 2)**2
Let a(c) = -8*c + 214. Let l be a(26). Let f(y) be the second derivative of 2/63*y**7 + 0*y**3 - 2/45*y**l + 0*y**2 - y + 1/9*y**4 - 1/15*y**5 + 0. Factor f(o).
4*o**2*(o - 1)**2*(o + 1)/3
Suppose 0*k + k - 1 = 0, -3*k = 2*o + 27. Let b be (-45)/(-10) + o/6. Factor 15/2 + 9/4*y**b - 51/4*y.
3*(y - 5)*(3*y - 2)/4
Factor 0 - 150/7*p**3 - 2/7*p**4 - 2736/7*p**2 + 2888/7*p.
-2*p*(p - 1)*(p + 38)**2/7
Let j = 13471 - 13468. Let f(q) be the first derivative of 5 - 1/4*q**j + 3/8*q + 3/16*q**2. Factor f(p).
-3*(p - 1)*(2*p + 1)/8
Let b(s) be the first derivative of -3/16*s**4 + 11/4*s**3 + 0*s + 99 + 9/2*s**2. What is w in b(w) = 0?
-1, 0, 12
Suppose -4*o - 2*u = -4, -6*o - 4*u = -5*o + 13. Factor -9 - 361*j**o - j**5 + 359*j**3 + 14*j**2 - 5*j**4 - j + 4*j.
-(j - 1)**2*(j + 1)*(j + 3)**2
Let c(r) be the third derivative of r**8/560 - r**7/50 - 7*r**6/40 + 47*r**5/100 + 17*r**4/20 - 4*r**3 - 72*r**2 - 15*r. Let c(h) = 0. What is h?
-4, -1, 1, 10
Suppose 442*z - 435*z = -35. Let u be (0*(z + 4))/5. Factor 4/3*o**3 + 0*o**2 + u - 16/3*o.
4*o*(o - 2)*(o + 2)/3
Let d(a) be the third derivative of -5*a**8/336 + 2*a**7/3 - 101*a**6/24 + 61*a**5/6 - 10*a**4 + 4*a**2 - 67. Solve d(j) = 0.
0, 1, 2, 24
Let b be 891/81 - (12 + -1). Let f(a) be the second derivative of -13/96*a**4 - 5/24*a**3 - 34*a + 0 - 1/48*a**6 + b*a**2 + 7/40*a**5. Solve f(p) = 0.
-2/5, 0, 1, 5
Let z(x) be the third derivative of -x**8/546 - 17*x**7/273 - 7*x**6/20 + 277*x**5/390 + 85*x**4/156 - 120*x**2 - 13. Suppose z(u) = 0. What is u?
-17, -5, -1/4, 0, 1
Let d = -198 - -326. Solve 84*b**2 + 16 + 17*b**3 - 69*b + 6*b**4 - d*b + 21*b**3 + 269*b = 0.
-2, -1/3
Let g be (-2393902)/1800*(1044/5880)/(-29). Let j = g - -1/3000. Suppose -j*i**3 + 0*i + 12/7*i**4 + 0 - 15/7*i**2 = 0. Calculate i.
-1/4, 0, 5
Let w(t) be the second derivative of 961*t**6/120 - 1209*t**5/40 + 507*t**4/16 + 6353*t. Let w(g) = 0. Calculate g.
0, 39/31
Let c be (-4)/(-31) - (-1247688)/787059. Factor 0 + c*s + 12/7*s**3 + 2/7*s**4 + 22/7*s**2.
2*s*(s + 1)*(s + 2)*(s + 3)/7
Let i = -36154 + 36157. Factor 12/11*t - 2/11*t**i + 0 - 10/11*t**2.
-2*t*(t - 1)*(t + 6)/11
Let u be 16 - 9 - (-1 - (-3)/1)/((-8)/(-16)). Factor 792/13*v + 2/13*v**u - 76/13*v**2 - 1296/13.
2*(v - 18)**2*(v - 2)/13
Let o(g) be the first derivative of -g**3/3 + 214*g**2 - 427*g - 8391. Factor o(c).
-(c - 427)*(c - 1)
Factor -3332/5*s + 2/5*s**2 + 1387778/5.
2*(s - 8