third derivative of -s**6/40 + 59*s**5/5 - 235*s**4/8 + 219*s**2 - s. Factor b(v).
-3*v*(v - 235)*(v - 1)
What is m in 93 + 20*m**2 - 26*m - 51*m + 75 - 16*m - 42 - m**3 = 0?
3, 14
Let i(q) be the first derivative of 2*q**5/65 - 38*q**4/13 - 320*q**3/13 - 976*q**2/13 - 1312*q/13 + 932. Factor i(n).
2*(n - 82)*(n + 2)**3/13
Let -562*a**4 - 5*a**5 + 10*a**5 + 52*a**3 - 2*a**5 - 5*a**5 + 144*a + 168*a**2 + 560*a**4 = 0. What is a?
-3, -2, 0, 6
Let x(f) be the third derivative of -f**8/168 + 32*f**7/315 - 41*f**6/108 + 53*f**5/135 - 4*f**4/27 - 4*f**2 - 2*f + 23. Find v such that x(v) = 0.
0, 1/3, 2, 8
Suppose 4*i - 5*k + 95 = 0, -43*i - 4*k = -41*i - 76. Factor -16/21*j**2 + 44/21*j**3 + i*j + 0 - 10/21*j**4.
-2*j**2*(j - 4)*(5*j - 2)/21
Let y(c) be the first derivative of 3*c**5/20 + 567*c**4/16 + 2256*c**3 + 6627*c**2/2 + 6832. Find n, given that y(n) = 0.
-94, -1, 0
Let j(o) be the second derivative of o**5/90 + 418*o**4/9 + 698896*o**3/9 + 584277056*o**2/9 + 965*o. Factor j(h).
2*(h + 836)**3/9
Let r(s) be the second derivative of s**5/5 - s**4/3 - 164*s**3/3 + 560*s**2 - 7094*s. Factor r(w).
4*(w - 7)*(w - 4)*(w + 10)
Let v = 119 + -75. Factor -3*t + v*t + 32*t**2 + 7*t + 96*t**2 + 20*t**3.
4*t*(t + 6)*(5*t + 2)
Let s be 193/5590*(-4 - (-5 + 7)). Let k = -4/559 - s. Determine g, given that 0 - k*g**2 - 1/5*g = 0.
-1, 0
Let t(h) be the third derivative of 0 + 4*h + 4*h**2 + 5/12*h**4 - 2*h**3 - 1/60*h**6 + 1/15*h**5. Factor t(y).
-2*(y - 3)*(y - 1)*(y + 2)
Suppose 0 = 381*d - 384*d - 5*n - 64, 0 = -n - 14. Suppose -1/4*t**3 - 3 - t + 7/4*t**d = 0. Calculate t.
-1, 2, 6
Let h(u) = 28*u**3 - 228*u**2 - 148*u + 95. Let j(p) = 14*p**3 - 112*p**2 - 74*p + 46. Let i(t) = -6*h(t) + 13*j(t). What is a in i(a) = 0?
-1, 2/7, 7
Let i(m) = 9*m**2 - 5*m**4 + 3*m - 12*m - m**3 - 5*m - m. Let g(r) = r**4 + r + 1. Let l(w) = 4*g(w) + i(w). Factor l(o).
-(o - 1)**3*(o + 4)
Let j(w) be the second derivative of 3*w**4 - 152*w**3/3 - 90*w**2 + 3*w - 518. Find d, given that j(d) = 0.
-5/9, 9
Suppose 0 = -5*c + 20 + 45. Let y be (c - 7)*(-4)/(-6). Find i, given that 93*i + 0*i**3 - y*i**3 - 89*i = 0.
-1, 0, 1
Let i be 3*(-2)/(-36)*(270 - 270). Determine w, given that 0*w + 6/5*w**2 - 1/10*w**5 + i - 3/10*w**4 + 2/5*w**3 = 0.
-3, -2, 0, 2
Let l be -6 - (-85)/15 - (-695)/15. Let u be l/8 - (-71)/(-284). Factor -9/2*r**2 - 1 + u*r.
-(r - 1)*(9*r - 2)/2
Let l(t) be the second derivative of -t**4/22 + 10*t**3/11 - 63*t**2/11 + t - 1408. Factor l(c).
-6*(c - 7)*(c - 3)/11
Let g(r) be the third derivative of -r**5/30 + 149*r**4/6 - 22201*r**3/3 + 1760*r**2. Solve g(m) = 0 for m.
149
Let i = 2030847 - 6092527/3. Factor 2/9*n - 2/9*n**3 - i*n**2 + 14/3.
-2*(n - 1)*(n + 1)*(n + 21)/9
Factor -412 - 75*q**4 - 201*q**2 - 66*q - 3*q**5 - 207*q**3 + 824 - 412.
-3*q*(q + 1)**3*(q + 22)
Let c = 24 - 36. Let k be c/56*16/(-6). Determine j, given that 2*j - 2/7*j**5 + k + 4/7*j**3 - 4/7*j**4 + 16/7*j**2 = 0.
-1, 2
Factor 1737 + 5*o**2 + 383 + 274*o + 31*o.
5*(o + 8)*(o + 53)
Let t(d) be the second derivative of 1/42*d**4 + 8/21*d**3 - 19*d + d**2 - 2. Let t(s) = 0. What is s?
-7, -1
Let l(u) = 166*u**3 + 1960*u**2 - 27090*u + 4853. Let k(t) = -79*t**3 - 980*t**2 + 13545*t - 2427. Let g(n) = -7*k(n) - 3*l(n). Let g(f) = 0. What is f?
-27, 2/11, 9
Let y(k) be the second derivative of -k**4/84 + 131*k**3/42 + 66*k**2/7 + 3324*k. Suppose y(c) = 0. What is c?
-1, 132
Let b(a) be the first derivative of -a**4/6 + 20*a**3/9 - 17*a**2/3 + 16*a/3 + 487. Factor b(x).
-2*(x - 8)*(x - 1)**2/3
Suppose 4*w = 3*l - 400, 280 = 5*l + 4*w - 376. Suppose 5*h - 155 - 98 = -2*b, -b + 3*h = -l. Factor 15*d + 18*d**2 + 252 - 126 - b.
3*(d + 1)*(6*d - 1)
Solve -662/9*a - 1348/3 + 2/9*a**2 = 0.
-6, 337
Factor -32854*a - 568*a**3 + 101649*a + 4746*a**2 + 415292 - 510595*a + 4*a**4 + 22326*a**2.
4*(a - 47)**3*(a - 1)
Let n be ((-24)/648)/((-1)/69) + 124/279. Let w(z) be the third derivative of -2*z**2 + 0*z + 1/20*z**5 + 0 + z**n + 3/8*z**4. Let w(h) = 0. Calculate h.
-2, -1
Suppose -3*x + 33 = -3*v, 5*v - 5 = -x + 2*x. Let -x*k - 5*k**3 + 21*k**3 - 3*k**3 - 8*k**3 + 10*k**2 = 0. Calculate k.
-3, 0, 1
Let x(h) be the second derivative of h**7/168 - h**6/20 + 7*h**5/40 - h**4/3 + 3*h**3/8 - h**2/4 - 150*h. Factor x(l).
(l - 2)*(l - 1)**4/4
Let w(f) = 19*f**5 - 1220*f**4 - 1210*f**3 + 1228*f**2 + 1215*f + 24. Let l(t) = -3*t**5 - t**2 - 3. Let i(g) = -8*l(g) - w(g). Suppose i(o) = 0. What is o?
-243, -1, 0, 1
Let f(n) = 22*n - 106. Let q be f(5). Solve 144*z + 24*z**5 + 70*z**3 + 85*z**4 - 27 + 23*z**q - 52*z**3 - 219*z**2 = 0.
-3, 1/2
Determine p so that 11*p**4 - 2*p**4 + 25*p**2 - 1 - 25*p - 14 + 25*p**3 - 4*p**4 - 15 = 0.
-3, -2, -1, 1
Let n(x) be the second derivative of 0*x**2 + 0*x**3 + 1/12*x**4 - 137*x + 1/20*x**5 + 0. Factor n(z).
z**2*(z + 1)
Suppose 75*z - 18*z + 88*z = 11*z + 4020. Factor 0 - z*u**2 - 3/2*u**4 - 12*u**3 - 24*u.
-3*u*(u + 2)**2*(u + 4)/2
Let q be (-3112)/624 - (-8 + 9/3). Let l(a) be the second derivative of 0*a**2 - q*a**4 - 6*a + 0 - 1/39*a**3. Factor l(z).
-2*z*(z + 1)/13
Let a(i) be the second derivative of 5 - 104/7*i**2 - 12*i - 541/70*i**5 + 25/147*i**7 + 172/7*i**3 - 263/21*i**4 + 6*i**6. Determine q, given that a(q) = 0.
-26, -1, 2/5, 1
Factor 0 - 100/17*z**2 - 2/17*z**3 + 1200/17*z.
-2*z*(z - 10)*(z + 60)/17
Let p = -11011/2 - -5506. Solve -3/4*c + 0 + p*c**2 + 1/4*c**3 = 0.
-3, 0, 1
Factor -2/17*b**3 + 0 + 0*b + 42/17*b**2.
-2*b**2*(b - 21)/17
Let i be (-126)/(-56) + (-14)/56. Find t such that 32/3*t + 128/9 + 8/3*t**i + 2/9*t**3 = 0.
-4
Let h = -265 + 340. Solve 48*d + 12*d**5 + 57*d**3 - 6 - 21*d**4 - 6 - h*d**2 - 13*d**5 + 4*d**5 = 0.
1, 2
Let p(b) be the third derivative of -b**7/21 - 43*b**6/8 + 33*b**5/2 - 61*b**2 - 11*b - 2. Factor p(k).
-5*k**2*(k + 66)*(2*k - 3)
Let z be (1 - (-14)/(-21)) + 28/6. Let g be (-22)/33*36/(-60). Factor -8/5*c**4 + g*c**z + 0 + 0*c**3 + 0*c + 0*c**2.
2*c**4*(c - 4)/5
Let v(y) = -3*y - 9. Let z be v(1). Let j(w) = -w**2 - w. Let a(t) = -t**3 - 6*t**2 - 3*t + 2. Let n(c) = z*j(c) + 3*a(c). Solve n(u) = 0 for u.
-2, -1, 1
Let z(l) be the first derivative of -l**5/20 + 31*l**4/16 - 187*l**3/12 - 867*l**2/8 - 6255. Solve z(y) = 0.
-3, 0, 17
Let o = -5051/30 - -337/2. Let z(l) be the first derivative of -1 - o*l**3 + 0*l + 1/10*l**2. Factor z(c).
-c*(2*c - 1)/5
Let k be 16 + -13 - (-1 - (0 - 2)). Let t be (-3)/(-9)*(k - 1 - 0). What is a in 2/3*a + t*a**2 + 1/3 = 0?
-1
Let q(j) be the third derivative of -j**7/105 - 7*j**6/60 + j**5/10 + 19*j**4/12 - 14*j**3/3 - 176*j**2. Find d, given that q(d) = 0.
-7, -2, 1
Suppose 5*s - 3*o + 36 = 0, 0 = 6*s + 5*o - 65 - 38. Suppose 3/4*c - 1/8*c**s + 1/8*c**2 + 0 = 0. What is c?
-2, 0, 3
Let t(y) be the second derivative of -1/3*y**2 + 2/9*y**3 + 91*y - 1/18*y**4 + 0. Let t(f) = 0. What is f?
1
Determine f so that -2/3*f**5 - 788/3*f + 2/3*f**4 + 160 + 134/3*f**2 + 58*f**3 = 0.
-8, -3, 1, 10
Factor 17/8*f**3 + 1/8*f**5 + 17/8*f**2 + 0 + 3/4*f + 7/8*f**4.
f*(f + 1)**2*(f + 2)*(f + 3)/8
Let m = -31 + 34. Suppose m*i - 2 - 13 = 0. Factor i*s**2 + 14 - 12 - 50*s + 46 + 77.
5*(s - 5)**2
Let 1207*i**3 + 1033 - 520*i**3 - 686*i**3 + 1783 + 184*i**2 + 1424*i = 0. What is i?
-176, -4
Determine r so that 304*r - 3494 + 20720*r - 582*r**2 + 14152 + 4*r**3 = 0.
-1/2, 73
Let p be 12406/20 - 4/100*-5. Let b = 11173/18 - p. Factor -b*q**3 + 4/3*q**2 + 16/9 - 8/3*q.
-2*(q - 2)**3/9
Suppose 2*j - p = 516, j - 372 + 120 = -p. Suppose j = 38*q + 26*q. Find b, given that -2*b + q*b**2 - 1/2*b**3 - 3/2*b**4 + 0 = 0.
-2, 0, 2/3, 1
Let l(c) be the first derivative of 39 + 0*c**5 - 1/9*c**6 + 0*c**2 + 1/6*c**4 + 0*c + 0*c**3. Factor l(u).
-2*u**3*(u - 1)*(u + 1)/3
Let z be (-105)/(-4) - 66/264. Let n be (1 - -1)*(-13)/z*-2. Factor 12/7*a**n + 0 + 0*a + 48/7*a**4 + 6*a**3 + 18/7*a**5.
6*a**2*(a + 1)**2*(3*a + 2)/7
Let v = 9772/9 - 27275/18. Let y = v + 7751/18. Factor 8/9*r + 0 + 2/9*r**3 + y*r**2.
2*r*(r + 1)*(r + 4)/9
Let k be -3 + 6/1 + (-2)/(-1). Determine g so that 10*g**3 - 14*g**5 + 21*g**5 - 5*g - 12*g**k = 0.
-1, 0, 1
Let i = -1121/3 + 19063/51. Let g be 6/4*172/2193. Suppose -2/17*y**5 + 0*y - 2/17*y**2 + i*y**4 + g*y**3 + 0 = 0. What is y?
-1, 0, 1
Let k = -59 + 79. Let l = -3014 + 3044. Find h, given that -l + 