)*(7*s - 6)/5
Let n(f) be the second derivative of f**7/98 + 39*f**6/35 + 87*f**5/28 - 132*f**4/7 + 152*f**3/7 + 3760*f. Let n(b) = 0. Calculate b.
-76, -4, 0, 1
Let y(n) be the first derivative of -7*n**2 + 6*n**3 + 2/5*n**5 + 4*n - 5/2*n**4 - 99. Find u such that y(u) = 0.
1, 2
Let a(j) be the second derivative of j**7/1260 + j**6/5 + 96*j**5/5 + 768*j**4 - 41*j**2 - 164*j. Let g(q) be the first derivative of a(q). Factor g(h).
h*(h + 48)**3/6
Let f be (-280)/(-45) - (-4)/(-18) - -13*42/(-182). Let -2/21*q**4 + 2/21*q**2 + 0 - 8/21*q + 8/21*q**f = 0. What is q?
-1, 0, 1, 4
Suppose -380 = -3*w + 634. Let o = w - 220. Determine t, given that -57*t**2 + o*t**2 - 58*t**2 + 3*t = 0.
-1, 0
What is p in 732 + 1/3*p**3 + 256*p + 73/3*p**2 = 0?
-61, -6
Factor 10580*q**2 - 2527*q**3 + 5*q**4 + 5188*q**3 - 3041*q**3 - 127680*q + 564480.
5*(q - 24)**2*(q - 14)**2
Let y(x) be the first derivative of 0*x - 3/20*x**4 - 7/5*x**3 - 263 + 0*x**2. Factor y(t).
-3*t**2*(t + 7)/5
Let l(y) be the third derivative of y**9/83160 + y**8/36960 - y**7/2310 - 35*y**4/24 + y**3/3 - 99*y**2. Let c(i) be the second derivative of l(i). Factor c(r).
2*r**2*(r - 2)*(r + 3)/11
Let a(o) be the second derivative of -o**5/5 + 81*o**4 - 484*o**3/3 - 2008*o. Factor a(l).
-4*l*(l - 242)*(l - 1)
Suppose 2*u**2 + 1126*u - 526 - 224 - 74 - 304*u = 0. Calculate u.
-412, 1
Let f(z) be the third derivative of z**6/180 - z**4/36 - 1378*z**2. Factor f(x).
2*x*(x - 1)*(x + 1)/3
Let u = -303652 - -1524422/5. Let b = 1233 - u. Determine n, given that -507/5 - b*n**2 - 78/5*n = 0.
-13
Let o(k) = 2*k**2 - 597*k - 236. Let u(w) = -3*w**2 + 1192*w + 470. Let c(b) = -21*o(b) - 9*u(b). Solve c(i) = 0 for i.
-2/5, 121
Let t(i) = 14*i + 206. Let f be t(-14). Let a(y) = y**2 + 2. Let v(u) = -890*u**2 - 480*u - 44. Let z(g) = f*a(g) - v(g). Factor z(r).
4*(15*r + 4)**2
Let i(l) = 2*l**3 + 34*l**2 - 130*l + 150. Let q(o) = -2*o**3 - 33*o**2 + 131*o - 149. Let m(z) = 5*i(z) + 6*q(z). What is t in m(t) = 0?
-18, 2
Let g be 10/(-2 + 0) + 60 + -49. Let d be g/10 - 21/35. Suppose d*c**2 + 0 - 1/4*c**4 + 0*c + 0*c**3 + 1/4*c**5 = 0. Calculate c.
0, 1
Let w(k) be the second derivative of -5*k**7/231 + 9*k**6/55 + 29*k**5/55 - k**4/11 - 53*k**3/33 - 21*k**2/11 - 40*k - 4. Find f, given that w(f) = 0.
-1, -3/5, 1, 7
Let n(w) = 4*w**2 + 2*w**3 + 5 - 4*w - 11*w**2 + 5*w**2. Let x be n(2). Let -4*m**4 - 3*m**4 - m**5 + x*m**4 + 3*m**5 = 0. What is m?
0, 1
Factor 114*k**3 - 2*k**4 - 114*k**2 - 243*k**3 - 108 + 103*k**3 - 250*k + 52*k.
-2*(k + 1)*(k + 3)**2*(k + 6)
Let 2*f**2 + 101*f - 73*f + 0*f**2 + 168 + 10*f = 0. Calculate f.
-12, -7
Suppose 0 = -5*t + 5 + 40. Suppose 8 = t*d - 5*d. Suppose 14*i**2 - 3 + 1 - 10*i**2 - d = 0. Calculate i.
-1, 1
Let p(r) be the second derivative of r**7/84 + 11*r**6/180 - 71*r**5/120 + 5*r**4/72 + 7*r**3/3 + 2121*r. Determine b, given that p(b) = 0.
-7, -1, 0, 4/3, 3
Let t(l) = -15*l + 151. Let o(g) = -7*g + 75. Let q(i) = 9*o(i) - 4*t(i). Let a be q(23). Factor 26*c - 25*c + 0*c**2 - c**a.
-c*(c - 1)
Factor 712/3*w - 50/3*w**4 + 1470*w**3 + 0 + 1184*w**2.
-2*w*(w - 89)*(5*w + 2)**2/3
Let a(f) be the third derivative of 0 + 0*f + 1/12*f**3 - 1/144*f**4 - 1/20*f**5 + 1/672*f**8 - 1/40*f**6 - 1/1260*f**7 + 85*f**2. Factor a(w).
(w - 3)*(w + 1)**3*(3*w - 1)/6
Let n(s) be the first derivative of -2*s**5/55 + 75*s**4/11 + 1550*s**3/33 + 81. Factor n(l).
-2*l**2*(l - 155)*(l + 5)/11
Suppose 1008*w = 3*r + 1013*w + 9, w = -3. Let a(m) be the second derivative of 0 - 5*m**r + 5/24*m**4 + 7*m + 5/4*m**3. Factor a(k).
5*(k - 1)*(k + 4)/2
Factor 950*o - 24*o**2 - 558*o - 161*o - 441.
-3*(o - 7)*(8*o - 21)
Let -60/7 - 20/7*w**2 - 62/7*w - 2/7*w**3 = 0. What is w?
-5, -3, -2
Let t be (((-3996)/(-185))/(-54))/(28/(-20)). Factor -1/7*r**4 + t - 3/7*r + 3/7*r**3 - 1/7*r**2.
-(r - 2)*(r - 1)**2*(r + 1)/7
Suppose -52*u**2 + 5*u**3 - 1168*u**2 - 170*u**2 - 2*u**3 + 112*u**2 = 0. Calculate u.
0, 426
Let p(q) = -62*q**3 - 121*q**2 - 124*q - 1. Let a be p(-1). Solve 1536 - a*k + 2/3*k**2 = 0 for k.
48
Let o = 3797 + -8409/2. Let w = -407 - o. Factor w*i**3 + 2*i**2 + 0 + 2*i.
i*(i + 2)**2/2
Let t be 60/22 + (-41)/((-15785)/(-280)). Factor -1/5*x**t + x - 4/5.
-(x - 4)*(x - 1)/5
Determine l so that -1384*l + 491*l**3 + 464*l**3 + 1922*l**2 - 941*l**3 - 552 = 0.
-138, -2/7, 1
Let y = 49 - 37. Suppose -m = 3*g - 6, -y*g + 9*g + 6 = -2*m. Find i, given that 3*i**2 - 64 + 69 - 6*i - g*i**2 = 0.
1, 5
Suppose -4*o + 2*x + 28 = 0, 4*x - 12 = 4*o - 36. Suppose 0 = 2*a + 5*s + 13, -3*a + 2*a - 3*s - o = 0. Factor -a + 6 + 15*r**3 - 3*r + 8*r + 0 - 25*r**2.
5*(r - 1)**2*(3*r + 1)
Let i be 2*(3 - 4) + 8. Let u(t) = 9*t**2 + 56*t - 20*t**2 - 146*t + 10*t**2 + 405. Let b(g) = -90*g + 405. Let k(n) = i*b(n) - 5*u(n). Factor k(y).
5*(y - 9)**2
Let q = -3254/9 - -13061/36. Factor -1/4*l**3 - 1 - q*l**2 - 2*l.
-(l + 1)*(l + 2)**2/4
Suppose -9*p - 2*p = -132. Factor 6*x + 53*x**3 + p*x + x**2 - 56*x**3 - 4*x**2.
-3*x*(x - 2)*(x + 3)
Suppose -2/7*d**4 + 2/7*d**2 + 380/7*d - 380/7*d**3 + 0 = 0. Calculate d.
-190, -1, 0, 1
Let g = -197191 + 197193. Factor -24 - 513/7*a**3 - 748/7*a + 27/7*a**4 - 1098/7*a**g.
(a - 21)*(3*a + 2)**3/7
Let s(v) be the second derivative of -v**4/54 + 49*v**3/9 + 50*v**2 - 519*v - 2. Find w such that s(w) = 0.
-3, 150
Let q(y) = y**4 - 2*y**3 - y**2 + y + 2. Let t(h) = -5*h**4 + 20*h**3 - h**2 - 59*h + 42. Let u(i) = -3*q(i) - t(i). What is z in u(z) = 0?
-2, 1, 2, 6
Let z = 104565 + -731943/7. Determine a, given that 6/7 + z*a**5 - 39/7*a**3 - 9/7*a**4 + 3/7*a**2 + 27/7*a = 0.
-1, -1/4, 1, 2
Let r(s) = -3*s - 21. Let a be r(-15). Suppose 0 = -46*d + 116 - a. Factor -9/4 - 3/2*z + 1/2*z**3 + 5/4*z**d.
(z + 1)*(z + 3)*(2*z - 3)/4
Let r(m) be the first derivative of 20/3*m**3 + 1/3*m**6 + 2*m**5 + 5*m**2 - 37 + 5*m**4 + 2*m. Factor r(s).
2*(s + 1)**5
Let s(b) = -10*b - 83. Let a be s(-10). Suppose -4*r + 3*w - 119 = -125, -a = -5*r - w. Factor 0 + 3/4*j**4 + 1/2*j - 1/4*j**2 - j**r.
j*(j - 1)**2*(3*j + 2)/4
Let v(m) be the third derivative of m**8/336 + 29*m**7/630 + 7*m**6/72 - m**5/4 - 19*m**4/36 + 8*m**3/9 - 5*m**2 - 73. Find h such that v(h) = 0.
-8, -2, -1, 1/3, 1
Let o(n) be the first derivative of -1/15*n**3 - 1/10*n**2 + 4*n - 45. Let o(t) = 0. What is t?
-5, 4
Factor -17152*n**2 - 1622*n + 2146592 + 17154*n**2 - 2522*n.
2*(n - 1036)**2
Let j be (-6)/(-45)*(50/12)/((-100)/(-60)). Suppose 8/3*n - j*n**3 - 2/3*n**2 + 0 = 0. Calculate n.
-4, 0, 2
Let l(s) = 3*s**2 - 7*s - 2. Suppose 0 = a - 4*a + 33. Let f = 3 - 1. Let j(w) = -14*w**2 + 36*w + 11. Let c(y) = a*l(y) + f*j(y). Factor c(u).
5*u*(u - 1)
Factor -6*v**4 - 11*v**2 + 37*v**4 - 10*v**2 - 19*v**4 - 11*v**4 - 18*v - 2*v**3.
v*(v - 6)*(v + 1)*(v + 3)
Let f(s) be the second derivative of 0*s**2 + 1/80*s**5 + 0*s**3 + 1/240*s**6 - 1/32*s**4 - 133*s + 0. Determine p so that f(p) = 0.
-3, 0, 1
Let u(g) be the second derivative of g**6/15 + g**5 - 23*g**4/6 + 4*g**3 - 1176*g. Determine q, given that u(q) = 0.
-12, 0, 1
Suppose -872*c + 24 = -864*c. Let k(n) be the first derivative of -n**4 - 15 + 28/3*n**c - 30*n**2 + 36*n. Find g such that k(g) = 0.
1, 3
Let s(v) be the third derivative of 4*v**5/5 - 71*v**4/6 - 4*v**3 + 5150*v**2. What is j in s(j) = 0?
-1/12, 6
Let f(b) = 2*b**5 - 7*b**4 - 8*b**3 + b**2 + 3*b. Let l(j) = 6*j**5 - 20*j**4 - 24*j**3 + 4*j**2 + 10*j. Let t(w) = -8*f(w) + 3*l(w). Factor t(a).
2*a*(a - 3)*(a - 1)*(a + 1)**2
Let m(l) be the first derivative of -44/7*l + 2/21*l**3 - 9/7*l**2 - 59. Factor m(i).
2*(i - 11)*(i + 2)/7
Let r(m) = -19*m + 1. Let l be r(6). Let q = l + 117. Factor 0*i**5 + i**5 + 6*i**3 - 2*i**2 + 2*i**q - 2*i**3 - 5*i**3.
i**2*(i - 1)*(i + 1)*(i + 2)
Let u(y) be the third derivative of -3 + 1/60*y**5 + 5/24*y**4 + 0*y**3 - 4*y**2 + 0*y. Factor u(c).
c*(c + 5)
Let g(n) be the first derivative of -5*n**3/3 + 2435*n**2 - 1185845*n - 4556. Factor g(q).
-5*(q - 487)**2
Let j(l) be the second derivative of -7*l**4/18 - 2665*l**3/9 + 254*l**2 - 3066*l. Factor j(o).
-2*(o + 381)*(7*o - 2)/3
Let y be 329*9/99*11. Suppose 0 = -320*g + y*g - 36. Find d, given that 1/2*d**5 + 0*d**g + 30*d - 5*d**2 + 36 - 15/2*d**3 = 0.
-2, 3
Let r(z) be the third derivative of -3*z**5/80 - 22*z**4 - 15488*z**3/3 - z**2 + 231. 