 656*p**2. Factor h(y).
-(y - 152)**2*(y + 1)/4
Let a(x) be the first derivative of -5*x**3/3 - 16*x**2 - 9*x - 47. Let i(w) = -1. Let t(g) = -2*a(g) - 6*i(g). Factor t(o).
2*(o + 6)*(5*o + 2)
Let q(v) be the third derivative of -5*v**2 + 0*v**3 + 2/75*v**6 + 3*v + 0*v**4 + 0 + 2/525*v**7 + 4/75*v**5. Suppose q(d) = 0. What is d?
-2, 0
Let z(s) be the third derivative of 0*s + 0 + 1/270*s**5 + 0*s**3 - 2/27*s**4 + 47*s**2. Factor z(j).
2*j*(j - 8)/9
Let u be 18 + 117*(-104)/702. Determine b, given that -5/9 + u*b - 1/9*b**2 = 0.
1, 5
Let c(i) be the third derivative of -i**6/40 - 7*i**5/10 + i**4/2 + 28*i**3 + 634*i**2. Factor c(m).
-3*(m - 2)*(m + 2)*(m + 14)
Factor 3*x**2 - 3748*x + 485677 - 77529 + 303359 + 826*x.
3*(x - 487)**2
Let n(y) be the second derivative of -y**6/120 + 41*y**5/80 + 169*y**4/6 + 326*y**3 - 1152*y**2 + 10*y - 65. Determine d, given that n(d) = 0.
-12, 1, 64
Let 59*k + 372 + 31*k + 0*k**2 - 120 + 2*k**2 = 0. Calculate k.
-42, -3
Let o(n) be the first derivative of 216*n + 92 - 12*n**2 + 2/9*n**3. Determine k so that o(k) = 0.
18
Let t be (-4)/(2/(4/(-2))). Suppose 5*n + 36 = x + 8, -25 = 5*n. Suppose -10*q**5 - 7*q**2 + 5*q + 9*q**3 + 15*q**4 - t*q**x - 8*q**2 = 0. Calculate q.
-1, 0, 1/2, 1
Suppose 2*i = 4*l - 12, -l = 2*l - 12. Let w be 6/7*2303/1316. Let -w*v - 27/8*v**i + 9/2 + 9/4*v**3 - 3/8*v**4 = 0. Calculate v.
-1, 2, 3
Let p(d) be the first derivative of -7*d**5/60 + d**4/24 + 193*d**2/2 - 271. Let a(y) be the second derivative of p(y). Determine l so that a(l) = 0.
0, 1/7
Suppose -65*z + 68*z = 6. Determine m so that 4*m**4 + 3*m**5 - 4*m + z*m**2 - 18*m**3 + 10*m**2 + 28*m - 7*m**4 = 0.
-2, -1, 0, 2
Find r such that -9288*r**2 + 18574*r**2 - 200*r - 9281*r**2 = 0.
0, 40
Suppose 4*l - b + 1 = 0, 353*l - 2*b + 14 = 351*l. Factor 3*z - 9/8*z**l + 1/8*z**3 - 2.
(z - 4)**2*(z - 1)/8
Let p(c) = c**3 + 102*c**2 - 763*c + 3. Let n be p(-109). Find b, given that 74*b**2 + 49/2 - 315/4*b - 21/2*b**n - 3/4*b**5 - 17/2*b**4 = 0.
-7, 2/3, 1
Let m(n) be the third derivative of n**5/180 - 953*n**4/36 + 908209*n**3/18 - 2*n**2 + 1796. Factor m(l).
(l - 953)**2/3
Let b be 56/84*3*2. Find v such that 11*v - 25*v**3 + 2*v**b - 40*v**2 - 31*v + 0*v**4 - 7*v**4 = 0.
-2, -1, 0
Let o(u) = -4*u**2 + 29921*u - 10005. Let h(s) = -3*s**2 + 14961*s - 5004. Let i(n) = -11*h(n) + 6*o(n). Find f such that i(f) = 0.
-1662, 1/3
Let v = 158/153 + -10/17. Let u be 3*63/54*(-10 - (-624)/56). Factor -10/9*z**3 + 0*z**u - 5/3*z - v - 20/9*z**2 + 1/9*z**5.
(z - 4)*(z + 1)**4/9
Let l(n) be the first derivative of 154/15*n**3 + 49/10*n**4 + 32/5*n**2 - 26 + 8/5*n. Suppose l(y) = 0. Calculate y.
-1, -2/7
Let a = -260 - -260. Factor 15065 - 49*x**2 + 202*x**2 + a*x**3 - 3*x**3 - 2601*x - 326.
-3*(x - 17)**3
Let y(m) be the first derivative of 5*m + 1/8*m**3 - 3/80*m**5 - 1/8*m**4 + 12 + 3/4*m**2. Let v(l) be the first derivative of y(l). Factor v(f).
-3*(f - 1)*(f + 1)*(f + 2)/4
Let a(r) be the third derivative of r**9/20160 + r**8/420 + 4*r**7/105 + 3*r**5/10 + r**4/24 + 48*r**2. Let b(x) be the third derivative of a(x). Factor b(g).
3*g*(g + 8)**2
Let p be ((-4)/6)/(0 + 8/12) - -5. Let l(n) be the first derivative of -1 + p*n**2 - 2*n**4 - 4/5*n**5 + 4*n + 0*n**3. Factor l(j).
-4*(j - 1)*(j + 1)**3
Suppose -226096*r**2 - 368*r**5 - 148*r**5 + 14756*r**4 - 640*r**5 - 3072 - 65609*r + 13129*r - 12518*r**3 - 2458*r**3 = 0. What is r?
-3, -2/17, 8
Let w = -352 - -354. Factor 29*x**3 - 35*x**w - 25*x**3 + 128*x - 80 - 5*x**2 - 23*x**2 + 11*x**2.
4*(x - 10)*(x - 2)*(x - 1)
Let -144*c + 1143 - 2*c**2 + 1141 + 0*c**2 - 2284 = 0. What is c?
-72, 0
Let h(z) = 19*z**2 + 870*z + 61351. Let y(j) = 15*j**2 + 867*j + 61350. Let n(o) = 3*h(o) - 4*y(o). Factor n(m).
-3*(m + 143)**2
Let m(w) be the third derivative of 0*w + 197*w**2 + 1/360*w**5 - 1/48*w**4 + 0 - 5/18*w**3. Let m(x) = 0. What is x?
-2, 5
Let s be (0 - 0) + -5 + -358 + 359. Let f be (2/(-8))/((-4)/(-8))*s. Factor -1 + 9/4*d + 1/4*d**3 - 3/2*d**f.
(d - 4)*(d - 1)**2/4
Let n(g) = 137*g - 259. Let v be n(2). Suppose 2*s - 1264 = 236. Factor -s*t**2 + 3/5*t**5 + 1875*t - v*t**4 + 150*t**3 - 1875.
3*(t - 5)**5/5
Let y(g) be the third derivative of -g**5/450 + 41*g**4/45 - 161*g**3/15 + 1122*g**2. Let y(z) = 0. What is z?
3, 161
Let v(h) be the first derivative of h**7/735 + h**6/140 + h**5/70 + h**4/84 + 61*h**2/2 - 43. Let z(g) be the second derivative of v(g). Factor z(b).
2*b*(b + 1)**3/7
Let r(g) be the first derivative of -4*g**3/3 + 73*g**2 - 142*g + 4296. Factor r(f).
-2*(f - 1)*(2*f - 71)
Suppose 4*v + 80 = 4*t, 4*v - 60 = 4*t - 7*t. Suppose -3*a + 4*l = 2*a - 36, 2*a = 3*l + t. Factor 3/7*j**a - 6/7*j**2 + 0*j + 3/7 + 0*j**3.
3*(j - 1)**2*(j + 1)**2/7
Let w(r) = 21*r**4 - 300*r**3 - 332*r**2 + 22*r. Let h(k) = -11*k**4 + 150*k**3 + 167*k**2 - 12*k. Let z(f) = -11*h(f) - 6*w(f). Let z(g) = 0. Calculate g.
-1, 0, 31
Let v(a) be the third derivative of a**8/448 - 5*a**7/126 - 7*a**6/144 + a**4/4 + 24*a**2. Let l(b) be the second derivative of v(b). Factor l(t).
5*t*(t - 7)*(3*t + 1)
Let o be (0 + -2)/(8/(-44)). Suppose 5*n - 16 = 2*a, 2*n + 0*a = -5*a - o. Factor -41*c + 5*c**2 - n*c**2 + 11*c + 75 + 0*c**2.
3*(c - 5)**2
Factor -24/7*h**2 + 1254/7*h - 2/7*h**3 - 8228/7.
-2*(h - 11)**2*(h + 34)/7
Let q(w) = w**2 - 1. Let h(v) = 4*v + 35. Let j be h(-10). Let t(b) = -343*b**4 - 1764*b**3 - 3029*b**2 - 1728*b + 5. Let r(x) = j*q(x) - t(x). Factor r(n).
n*(7*n + 12)**3
Let j be 3*8/(-12) - 18/(-3). Factor 3*b**j + 1183*b**5 + b**2 - 3*b**2 - 9*b**4 - 6*b**3 - 1185*b**5.
-2*b**2*(b + 1)**3
Suppose -5 = -u - 5*w - 27, 3*u + 2*w = -1. Factor 16*f**u + 20*f**2 - 1042 + 4*f**4 + 520 + 522 + 8*f.
4*f*(f + 1)**2*(f + 2)
Factor -18*a**2 + 0 + 23/8*a**3 + 1/8*a**4 - 1053/2*a.
a*(a - 13)*(a + 18)**2/8
Let d(w) be the third derivative of 3/5*w**5 - 37 + 1/70*w**7 + 0*w - w**2 + 3/2*w**3 - 5/4*w**4 - 3/20*w**6. Factor d(o).
3*(o - 3)*(o - 1)**3
Suppose 13*f + 20 = 3*f. Let l be f*(-5)/20*0. Factor -18*m**4 + l*m + 8*m + 22*m**4 - 12*m**2.
4*m*(m - 1)**2*(m + 2)
Suppose 715*k**5 + 0*k + 718*k**5 + 250*k**3 - 2144*k**5 + 540 - 135*k + 716*k**5 - 60*k**4 - 360*k**2 = 0. What is k?
-1, 3, 4
Let h be ((-20)/12 - (-87)/45)*16/((-768)/(-108)). Solve h*n**2 - 3/5*n**3 + 0*n + 0 = 0 for n.
0, 1
Suppose -29 = -5*f + 3*b, -4*f + 5*b = 4*b - 19. Factor -5*u**4 - 14*u**3 + 19*u**f + 22*u**2 - 4*u - 26*u**3 + 8*u**3.
2*u*(u - 1)**2*(7*u - 2)
Let o = 154 - 138. Let 61 + 65 - 142 + 20*c**2 + o*c**2 - 64*c = 0. Calculate c.
-2/9, 2
Let y(k) be the third derivative of k**6/1140 - 13*k**5/95 + 2*k**4/3 - 523*k**2 - 2. Let y(q) = 0. Calculate q.
0, 2, 76
Let k(p) be the third derivative of -3*p**7/14 - 31*p**6/20 - 83*p**5/20 - 5*p**4 - 2*p**3 + 979*p**2. Let k(w) = 0. What is w?
-2, -1, -2/15
Let j(x) be the third derivative of 0*x**5 - 1/80*x**6 + 5*x - 1/20*x**7 - 7*x**2 + 0 + 0*x**4 + 0*x**3 - 3/56*x**8. Suppose j(v) = 0. What is v?
-1/3, -1/4, 0
Let y(w) = -w**3 + 3*w**2. Let g be y(3). Suppose 2*j = -j + 5*x + 21, -2*j + 4*x + 16 = g. Determine m so that -26*m - 6*m**2 + j*m**2 - 38*m - 196 + 8*m = 0.
-7
Find q, given that -9347738 - 4287659 + 10769*q - 2975*q - 2*q**2 + 3610*q - 2621005 = 0.
2851
Let a(b) = b**3 - 35*b**2 + 185*b - 6475. Let w be a(35). Determine l, given that 0 - l**2 + 1/2*l**4 + w*l - 1/2*l**3 = 0.
-1, 0, 2
Let y be (0 + 4 + -5)*0. Suppose -20072*a = -20074*a. Factor 0*h**2 + a - 1/3*h**3 + y*h.
-h**3/3
Suppose -52 - 795/2*c**2 - 355*c - 100*c**3 - 11/2*c**4 = 0. Calculate c.
-13, -4, -1, -2/11
Find o such that -2/7*o**2 + 344/7*o + 696/7 = 0.
-2, 174
Factor 3/7*t**2 - 12/7 - 9/7*t.
3*(t - 4)*(t + 1)/7
Let l(h) = -13*h - 20. Let a be l(-8). Suppose 11*j = 8*j + a. Find g such that j*g**5 + 9*g**2 - 28*g**4 + 3*g**2 - 28*g**3 - 4*g**2 + 20*g**4 = 0.
-1, 0, 2/7, 1
Let l(x) be the third derivative of x**5/12 - 10*x**4/3 - 30*x**3 - 24*x**2 - 8. Factor l(k).
5*(k - 18)*(k + 2)
Let y(s) be the first derivative of s**6/45 - s**5/15 - 2*s**4/9 + 8*s**3/9 + 6*s - 54. Let t(j) be the first derivative of y(j). Find w, given that t(w) = 0.
-2, 0, 2
Suppose -3*r = -8*r + 5*c + 210, -4*r + 2*c + 164 = 0. Suppose -18 = -r*i + 31*i. Factor -182 - i*s**2 + 132 + 0*s**2 + 20*s.
-2*(s - 5)**2
Let l(m) be the first deriva