 - 6290*m**3/3 + 5785*m**2/2 - 1845*m - 5718. Factor a(n).
5*(n - 41)*(n - 9)*(n - 1)**3
Let h = 8441541/12535 - 15474/23. Let a = h - 6/109. Solve a*c**2 + 3/5*c - 6/5 = 0.
-2, 1
Factor 2/3*x**3 - x - 2/3 + x**2.
(x - 1)*(x + 2)*(2*x + 1)/3
Let d = 431 + -432. Let b be 4*d/3 + 37/21. Find k such that 12/7*k + 33/7*k**2 - b + 18/7*k**3 = 0.
-1, 1/6
Let k = 51585 - 206307/4. What is i in -9/2*i + 3/4*i**4 - k*i**2 - 3*i**3 + 0 = 0?
-1, 0, 6
Let l(n) = -5*n**2 + 2081*n + 88769. Let o(x) = 2*x**2 - 694*x - 29590. Suppose 0 = 32*c + 6*c + 646. Let d(r) = c*o(r) - 6*l(r). Factor d(f).
-4*(f + 86)**2
Suppose 3*k + 7 = 4. Let n be (9 + -7)*((-3)/k + -1). Factor 4 - 172*m**2 - 8*m - 2 + 174*m**2 + n.
2*(m - 3)*(m - 1)
Factor 33489/5 - 366/5*r + 1/5*r**2.
(r - 183)**2/5
Let q(i) be the third derivative of -i**6/40 - 14*i**5/5 + 175*i**4/8 - 59*i**3 - 255*i**2 - 2*i + 6. What is j in q(j) = 0?
-59, 1, 2
Let q = -84 + 86. Suppose n - 72 = -q*m, 2*m - n = -0*n + 68. Factor -27*w + 27*w**2 - 17*w**2 - m*w + 44 - 16*w**2.
-2*(w + 11)*(3*w - 2)
Let x(s) be the second derivative of 7*s**7/2 - 63*s**6/2 - 3663*s**5/20 + 707*s**4/4 + 336*s**3 + 162*s**2 - 605*s. Let x(o) = 0. Calculate o.
-3, -2/7, 1, 9
Suppose 5*h = 3*c - 35, 13 = -5*c + 2*h + 46. Let k(l) be the first derivative of -1/3*l**3 + 0*l**2 - 2 - 1/5*l**c + 0*l - 1/2*l**4. Factor k(u).
-u**2*(u + 1)**2
Factor 3/8*a**3 - 36 - 57/8*a**2 - 87/2*a.
3*(a - 24)*(a + 1)*(a + 4)/8
Let l be 22/154 + (-380)/(-133). Let n(j) be the first derivative of -3 + 0*j + 1/2*j**4 + 8/3*j**l + 4*j**2. Factor n(q).
2*q*(q + 2)**2
Let u be 9/6*152/(-28899). Let w = 161/1014 - u. Suppose 1/6*j - 1/6 + 1/6*j**2 - w*j**3 = 0. Calculate j.
-1, 1
Let w(n) = -n**3 + 7*n**2 + 10*n + 1. Let j be w(8). Factor 42 - 60*o - 17*o**3 + 5*o**3 + o**4 - j + 46*o**2.
(o - 5)**2*(o - 1)**2
Find c, given that 8*c**2 - 64*c**2 - 614*c**3 + 312 - 28*c + 610*c**3 = 0.
-13, -3, 2
Let h(r) be the first derivative of -r**6/10 - 39*r**5/25 + 2091*r**4/20 + 9481*r**3/5 - 49644*r**2/5 + 68796*r/5 - 6423. Suppose h(w) = 0. Calculate w.
-21, 1, 2, 26
Let u = 23/8 + -17/8. Let j(q) = 8*q**2 + 68*q + 84. Let b be j(-7). Factor -u*g + 1/4*g**2 + b.
g*(g - 3)/4
Let s = -3849 + 3853. Let g(m) be the second derivative of 1/40*m**5 - 1/6*m**3 + 0 + s*m + 0*m**2 + 1/24*m**4. Let g(i) = 0. Calculate i.
-2, 0, 1
Let a = -1006799/100 + 10068. Let o(m) be the third derivative of 0*m + 1/10*m**4 + 2/5*m**3 - a*m**6 + 26*m**2 + 0 + 1/350*m**7 - 3/100*m**5. Factor o(h).
3*(h - 2)**2*(h + 1)**2/5
Suppose 7009*k**3 - 707*k + 880*k**2 + 884 - 1059*k - 7007*k**3 = 0. Calculate k.
-442, 1
Let q be 3/(4/6 - (-7 + 8)). Let i be (-75)/q - 5 - (-4)/6. Factor 3*o**i + 16 + 19*o - o**3 - 7*o - 9*o**2 - 4 - 5*o**3.
3*(o - 2)**2*(o + 1)**2
Let o(l) be the first derivative of l**4/2 + 72*l**3 + 2805*l**2 - 12100*l - 2465. Let o(x) = 0. Calculate x.
-55, 2
Let l(b) be the third derivative of -b**8/1512 + b**7/945 + 2*b**6/135 - 4*b**5/135 - 4*b**4/27 + 16*b**3/27 + 67*b**2 - 20*b + 2. What is u in l(u) = 0?
-2, 1, 2
Let k = 4 - -16. Suppose k*w = 16*w + 16. Determine h so that -1 - 28*h**2 - 44*h - 4 - w*h**3 - 17 + 2 = 0.
-5, -1
Suppose 74/7*p - 2/7*p**2 + 76/7 = 0. What is p?
-1, 38
Suppose 5*f = w + 7*f - 70, 5*w + f - 395 = 0. Let d(j) be the first derivative of -30*j**2 - 5/16*j**4 - w*j + 16 - 5*j**3. Find z, given that d(z) = 0.
-4
Let m(i) = 151*i**3 - 3*i**2 - 251*i + 98. Let j(v) = -227*v**3 + 6*v**2 + 376*v - 148. Let k(a) = 5*j(a) + 7*m(a). Solve k(p) = 0 for p.
-18/13, 1/2, 1
Suppose -79 = 64*y + 623*y - 1453. Factor 0 + 15/7*x**y - 3/7*x.
3*x*(5*x - 1)/7
Let r be 18 - (-5 + 6 - 7). Suppose -r*v - 26*v + 100 = 0. Solve 5/3*y + 1/3*y**v + 4/3 = 0 for y.
-4, -1
Let m be -23*228/6118 - 248/(-126). Factor -8/9*k**3 - m*k**2 - 2/9*k**4 + 0 - 4/9*k.
-2*k*(k + 1)**2*(k + 2)/9
Determine n so that 356 + 347 + 5*n**2 + 802 - 230*n + 1140 = 0.
23
Let o = -36914 - -36914. Let b(h) be the first derivative of o*h - 7 + 0*h**2 - 8/33*h**3 + 0*h**4 + 2/55*h**5. Find f such that b(f) = 0.
-2, 0, 2
Let l = 16993/25476 + -3/8492. Factor 6*q + 0 - l*q**3 + 16/3*q**2.
-2*q*(q - 9)*(q + 1)/3
Let g(x) = x**2 + 6*x - 3. Let j be g(-7). Let u be (-2 + 2/j)/(6/(-36)). What is y in -y**3 - y**4 + 12*y**2 + 2*y**4 - 6 - 7*y**4 + u*y - 8*y**3 = 0?
-2, -1, 1/2, 1
Let w = 123357/2 + -61678. Factor q - w + 1/8*q**3 - 5/8*q**2.
(q - 2)**2*(q - 1)/8
Let d(k) be the second derivative of 1/3*k**2 + k + 1/45*k**5 + 1 - 2/27*k**4 + 1/135*k**6 - 2/27*k**3. Factor d(r).
2*(r - 1)**2*(r + 1)*(r + 3)/9
Let r(m) be the second derivative of m**5/70 - m**4/42 - 10*m**3/21 - 8*m**2/7 - 218*m. Let r(d) = 0. What is d?
-2, -1, 4
Let l be -1*(4 - -1) - (-27 - -18). Suppose -2*d + l*d + 1 = -i, -2*i - 3*d = 0. Factor -i*b**3 + 5/3*b**4 - 1/3*b**5 + 0 - 2/3*b + 7/3*b**2.
-b*(b - 2)*(b - 1)**3/3
Let a(f) = -2*f**3 + 20*f**2 - 3. Let v = -116 + 118. Let k(b) = -2 - 2*b**3 - 2*b**2 - b**3 + 22*b**2. Let r(c) = v*a(c) - 3*k(c). Factor r(p).
5*p**2*(p - 4)
Let n = 17473 + -17451. Let g(p) be the first derivative of 0*p - 1/42*p**4 - 8/63*p**3 - n - 4/21*p**2. Factor g(j).
-2*j*(j + 2)**2/21
Suppose 240 = 32*l - 26*l. Let i be (-12)/l*160/(-60). Solve 4*f**2 + 0*f - i*f**3 + 0 = 0 for f.
0, 5
Let d be (800/510)/20*-84 + 8. Let 32/17*c**2 - d*c + 0 + 2/17*c**4 - 14/17*c**3 = 0. Calculate c.
0, 2, 3
Suppose -3*c - 54 = 0, 366*c = 4*q + 370*c + 64. Determine u, given that 0 + 2/5*u**5 + 8/5*u + 0*u**4 + 0*u**q - 2*u**3 = 0.
-2, -1, 0, 1, 2
Let w(k) = -k**2 - 242*k - 3. Let p(x) = 10*x**2 + 2905*x + 35. Let o(c) = 3*p(c) + 35*w(c). Factor o(r).
-5*r*(r - 49)
Let t(j) = 10*j**3 - j**2 + 10*j - 39. Let f be t(3). Factor 108*c**4 - 6*c + 2137*c**2 - f*c**3 - 1022*c**2 - 1040*c**2.
3*c*(c - 2)*(6*c - 1)**2
Suppose 0 = -4*n - 310 + 394. Let z be 376/112 - (-3)/n. Factor 1/2*q**2 + z - 4*q.
(q - 7)*(q - 1)/2
Let m(c) be the third derivative of -23/40*c**5 - 1/140*c**7 + 0 - 3/16*c**6 - 2*c - 94*c**2 + 0*c**3 + 1/224*c**8 - 5/8*c**4. Let m(j) = 0. Calculate j.
-2, -1, 0, 5
Let x(g) = 24*g + 373. Let d be x(-11). Find s such that -82*s**2 - d - 64*s - 35 + 86*s**2 = 0.
-2, 18
Let w(b) be the third derivative of -b**8/1512 + b**6/135 + 1379*b**2. Let w(p) = 0. What is p?
-2, 0, 2
Let d(i) be the first derivative of -32*i**5/25 - 92*i**4/5 + 1742*i**3/15 + 469*i**2/5 + 24*i - 2809. Solve d(q) = 0 for q.
-15, -1/4, 4
Let a(o) be the second derivative of -o**7/168 + 2*o**6/15 + o**5/40 - 133*o**4/12 - 1001*o**3/24 - 121*o**2/2 + 2*o - 367. Find z, given that a(z) = 0.
-4, -1, 11
Let g(k) be the first derivative of -k**5/80 + k**4/16 - k**2/2 - 64*k - 7. Let m(h) be the first derivative of g(h). Factor m(b).
-(b - 2)**2*(b + 1)/4
Let h(n) be the second derivative of 2*n**7/21 - 74*n**6/15 + 391*n**5/5 - 289*n**4 - 235*n - 4. What is u in h(u) = 0?
0, 3, 17
Factor -8*j**2 - 68*j**4 + 13*j**4 + 75*j**3 + 66*j**3 - 11*j**3 - 67*j**2.
-5*j**2*(j - 1)*(11*j - 15)
Factor 11*k + 27225 + 132*k**2 - 341*k - 67*k**2 - 64*k**2.
(k - 165)**2
Let x(m) be the first derivative of -5/3*m**3 + 0*m - 36 + 275/2*m**2. Factor x(o).
-5*o*(o - 55)
Suppose -i + 1 = n - 5, n = 3*i + 2. Suppose f + n = 3*t, -18*t + 5*f = -13*t - 5. Factor -4/5*b**t + 13/5*b - 3/5.
-(b - 3)*(4*b - 1)/5
Let c be ((4/(-10))/((-3280)/18450))/((-3)/(-2)). Factor -12*j - 18 + 15/2*j**2 + c*j**3.
3*(j - 2)*(j + 1)*(j + 6)/2
Let l(f) be the third derivative of 0*f + 0*f**4 - 2/15*f**5 - 1/84*f**8 + 0 + 4*f**2 - 1/6*f**6 + 0*f**3 - 8/105*f**7. What is g in l(g) = 0?
-2, -1, 0
Suppose -178 - 5*q**5 + 88 + 140*q**3 + 295 + 1065*q - 27*q**4 + 910*q**2 - 63*q**4 + 175 = 0. Calculate q.
-19, -1, 4
Let m(n) be the third derivative of n**6/480 + 7*n**5/12 + 413*n**4/96 + 137*n**3/12 - 385*n**2. Factor m(y).
(y + 1)*(y + 2)*(y + 137)/4
Let l(z) = -11*z**3 - 194*z**2 - 781*z - 582. Let x(f) = -27*f**3 - 386*f**2 - 1563*f - 1164. Let n(k) = 15*l(k) - 6*x(k). Factor n(i).
-3*(i + 1)*(i + 3)*(i + 194)
Let h(r) = -r**2 - 8*r + 20. Let o be h(-10). Find a such that -2/9*a**2 + 2 + o*a = 0.
-3, 3
Let u = 39845/4167 - 3/463. Let p = u + -28/3. Factor 8/9 - 10/9*i + p*i**2.
2*(i - 4)*(i - 1)/9
Suppose 0 = 4*p - 6 - 6. Solve 4*z**3 - 4*z**3 + 0*z + 4*z**p + 36 - 4*z - 36*z**2 = 0.
-1, 1, 9
Let f(l) be t