*(p - 1)**2*(p + 1)
Let s(f) = 6*f - 58. Let a be s(10). Suppose -a*m + 3*n = -m - 337, -5*m = 4*n - 1609. Solve -m*y**2 - 35*y - 125*y**3 - 11*y - 234*y - 80 = 0 for y.
-1, -4/5
Factor -3534/7*c**3 - 1044291/7*c**2 - 3/7*c**4 - 148176 - 296856*c.
-3*(c + 1)**2*(c + 588)**2/7
Suppose 2767*t + 2*t**3 - 2167 + 1405*t + 7103 + 772*t + 1242*t**2 = 0. Calculate t.
-617, -2
Let w(x) be the first derivative of 0*x**5 + 0*x**2 + 1/21*x**4 - 7/3*x**3 + 0*x - 1/1260*x**6 + 17. Let r(y) be the third derivative of w(y). Factor r(c).
-2*(c - 2)*(c + 2)/7
Let n = 78 + -67. Let j be ((-21)/15)/(1/(-5)). Determine p, given that 48*p + 32 - j*p**4 - 46*p**3 - 2*p**5 - n*p**4 - 15*p**2 - 26*p**2 + 27*p**2 = 0.
-4, -1, 1
Suppose 25*q - 36 = 7*q. Factor 20*j**3 + 7*j**q - 44*j**3 - 4*j**4 - 12*j**2 - 39*j**2 - 24*j.
-4*j*(j + 1)*(j + 2)*(j + 3)
Let v(a) be the second derivative of -a**5/40 + 563*a**4/24 - 841*a**3/6 + 280*a**2 - 3*a - 1591. Factor v(w).
-(w - 560)*(w - 2)*(w - 1)/2
Let u(p) = 20*p**3 + 52*p**2 + 28*p - 16. Let j(k) = -10*k**2 + 1 + 8*k**3 - 10*k**3 + 9*k**2. Let v(b) = 6*j(b) + u(b). What is w in v(w) = 0?
-5, -1, 1/4
Let s(j) = -9*j - 11*j**2 + 5 + 0*j**2 + 2. Let a = 228 + -231. Let o(y) = -5*y**2 - 5*y + 3. Let u(g) = a*s(g) + 7*o(g). Factor u(c).
-2*c*(c + 4)
Suppose -1080 = 8*d - 1096. Let w(t) = -t**2 + 4*t - 4. Let m be w(d). Factor 2/13*p**3 - 2/13*p**2 + 0*p + m.
2*p**2*(p - 1)/13
Let c(y) be the first derivative of -2*y**6/3 + 68*y**5/5 - 58*y**4 - 232*y**3 + 918*y**2 - 972*y - 1332. Suppose c(p) = 0. What is p?
-3, 1, 9
Factor -u - 17 + 3*u**2 - 3 + 28 + u**2 + 8*u**3 - 19*u.
4*(u - 1)*(u + 2)*(2*u - 1)
Let s(u) be the third derivative of u**6/360 - 42*u**5/5 + 10584*u**4 - 7112448*u**3 + u**2 - 267*u. Factor s(k).
(k - 504)**3/3
Let l(n) be the third derivative of n**8/24 + 193*n**7/210 + 23*n**6/20 - 67*n**5/60 - 13*n**4/12 + 228*n**2 + 2. Find h, given that l(h) = 0.
-13, -1, -2/7, 0, 1/2
Factor -35/4*z**5 + 0*z + 0 - 15/4*z**2 - 5/4*z**3 + 55/4*z**4.
-5*z**2*(z - 1)**2*(7*z + 3)/4
Suppose -1 - 3 = 3*q + 2*d, -4*d - 20 = 0. Factor -99*c**4 + 13 + 1 - q - 93*c**2 + 159*c**3 + 21*c**5.
3*(c - 2)*(c - 1)**3*(7*c + 2)
Let w(k) be the second derivative of 5*k**7/42 - 11*k**6/2 - 71*k**5/2 - 545*k**4/6 - 245*k**3/2 - 185*k**2/2 + 106*k. Let w(m) = 0. Calculate m.
-1, 37
Let 0*a**2 + a**2 - 2*a**2 - 360*a + 46850*a**3 - 5*a**2 - 46848*a**3 = 0. What is a?
-12, 0, 15
Suppose 533/8*m - 1/8*m**2 + 267/4 = 0. Calculate m.
-1, 534
Suppose -3*d = 4*o + 120, -3*o - 53 = -d + 50. Let s = 35 + o. Suppose -2/5*a**s + 4/5*a + 6/5 = 0. What is a?
-1, 3
Let a = -2870/29 + 12263/116. Let 1/2 + 13/4*p**2 - a*p = 0. What is p?
1/13, 2
Let c(w) = -w**4 + 273*w**3 + 22*w**2 + 2*w. Let z(k) = 6*k**4 - 1359*k**3 - 121*k**2 - 11*k. Let s(g) = -11*c(g) - 2*z(g). Suppose s(h) = 0. Calculate h.
-285, 0
Suppose 80 = t + 19*h - 13*h, -2*t - 48 = -4*h. Factor 86/3*n - 20/3 - 8/3*n**3 - 22/3*n**t.
-2*(n - 2)*(n + 5)*(4*n - 1)/3
Suppose -13 = -3*p + 2*i - i, -p = -4*i - 8. Suppose 10*x**3 - 10*x**4 + x**5 - 8*x**3 + 7*x**4 + 6*x**p = 0. What is x?
-2, -1, 0
Let g(w) be the third derivative of -w**6/24 - 11*w**5/6 - 50*w**4/3 + 640*w**3/3 + w**2 + 74*w. Suppose g(p) = 0. Calculate p.
-16, -8, 2
Let v(f) = 20*f**2 + 58*f + 20. Let j(i) be the first derivative of -5*i**3/3 - 7*i**2 - 5*i + 101. Let s(t) = -9*j(t) - 2*v(t). What is z in s(z) = 0?
-1
Let s be 27/27 + (-98)/14 + 13/2. Factor 1/2*y**2 - 1/2 - 1/2*y + s*y**3.
(y - 1)*(y + 1)**2/2
Suppose -3*u - 10*u + 91 = 0. Suppose 16 - u = 3*s. Factor 2 - l - 3 - l**3 - 2 + 2*l**3 + s*l**2.
(l - 1)*(l + 1)*(l + 3)
Suppose 0 = 6*j, 5*n + 4*j = -j + 15. What is s in 2/7*s**5 + 0 + 2/7*s**2 - 2/7*s**4 + 12/7*s - 2*s**n = 0?
-2, -1, 0, 1, 3
Let b(v) = 1402*v - 423402. Let k be b(302). Determine n, given that -1/4*n**3 - 1/4*n + 1/2*n**k + 0 = 0.
0, 1
Let f(b) be the first derivative of 4*b**3 - 1/2*b**4 + 8*b - 9*b**2 - 19. Let f(g) = 0. What is g?
1, 4
Let o(y) be the first derivative of 74 + 0*y - 8/13*y**2 + 16/65*y**5 - 1/39*y**6 + 44/39*y**3 - 21/26*y**4. Find s, given that o(s) = 0.
0, 1, 2, 4
Let a(g) be the third derivative of -12482/27*g**3 + 0*g + 2*g**2 + 79/27*g**4 - 1/135*g**5 - 1. Determine x, given that a(x) = 0.
79
Let y be 5/((-450)/(-1072)) - (-3)/(-86 + 101). Factor -1/9*m**3 - 324 - y*m**2 - 336*m.
-(m + 1)*(m + 54)**2/9
Let s(o) be the first derivative of 21*o**5/5 + 6555*o**4/2 + 5609*o**3 + 1869*o**2 - 4344. Suppose s(m) = 0. What is m?
-623, -1, -2/7, 0
Let w(g) be the third derivative of g**5/80 - 3*g**4/4 + 119*g**3/8 - 2*g**2 - 333*g. Solve w(h) = 0.
7, 17
Let d be 39/6 - -15*(9/(-90) - 0). Let 8*o**3 - 88/3*o**2 - 1/3*o**d + 1/3*o**4 + 112/3*o - 16 = 0. What is o?
-6, 1, 2
Let f be -4*((124/(-32) - -4) + 1188/(-2592)). Suppose -62/15*p**4 + 2/3*p + 4/15 - f*p**5 - 62/15*p**3 - 14/15*p**2 = 0. What is p?
-1, -1/2, 2/5
Let l(a) be the third derivative of -a**8/40320 + 23*a**7/5040 + 47*a**6/1440 - 46*a**5/15 + 2*a**2 + 8. Let i(g) be the third derivative of l(g). Factor i(o).
-(o - 47)*(o + 1)/2
Let y(q) be the second derivative of -q**8/3360 - q**7/1050 + q**6/900 - 5*q**3/3 - 5*q**2/2 - 36*q. Let t(u) be the second derivative of y(u). Factor t(v).
-v**2*(v + 2)*(5*v - 2)/10
Let n(s) be the second derivative of -17/14*s**3 - 9/7*s**2 - 17/28*s**4 - 1/70*s**6 - 3/20*s**5 - 121*s + 0. Determine a so that n(a) = 0.
-3, -2, -1
Let w(f) be the first derivative of -f**3/9 + 10*f**2/3 - 19*f/3 - 409. Determine z, given that w(z) = 0.
1, 19
Suppose -3*b = -5*r + 64, -2*r + 1 = -5*b - 17. Let d be ((-74)/(-777))/(-1*(-6)/r). Solve -4/9 - 2/9*y**4 + d*y**3 + 2/3*y**2 - 2/9*y = 0.
-1, 1, 2
Let s(a) = -9*a**3 - 11*a**2 - a - 15. Let k be s(-5). Let z = k - 840. Factor -6/11*g**2 + 0*g + z - 2/11*g**3.
-2*g**2*(g + 3)/11
Suppose 2*l + 32 = 0, 2*h - 26 = 3*h - 6*h + l. Factor 3/2*t**h + 0 - 5/6*t + 7/3*t**3.
t*(t + 1)*(14*t - 5)/6
Let l be (-18)/((-2142)/(-2635)) - -25. Factor l*u + 2/7*u**2 + 18/7.
2*(u + 1)*(u + 9)/7
Let i(f) be the first derivative of 4*f**3/15 - 694*f**2/5 - 4336. Let i(h) = 0. Calculate h.
0, 347
Suppose 7*f + 18 + 941 = 0. Let u = 140 + f. Suppose -38*m - 150*m**2 + 63*m + 20*m + 125*m**u = 0. Calculate m.
0, 3/5
Let i(s) = -s**3 - 7*s**2 - 10*s + 3. Let p(u) = -8*u + 27. Let c be p(4). Let j be i(c). Factor 3*t**3 + 17*t + 14*t**2 + j*t + 2 - 10*t + 3*t**3.
2*(t + 1)**2*(3*t + 1)
Let b(q) = 202*q**2 + 15574*q - 10140013. Let r(l) = -31*l**2 - 2596*l + 1690002. Let m(w) = 6*b(w) + 39*r(w). Solve m(t) = 0 for t.
1300
Suppose 731*c - 3*y = 734*c + 33, 60 = 4*c - 4*y. Find t, given that -2/7*t**4 - 16/7 + 40/7*t + 2*t**3 - 36/7*t**c = 0.
1, 2
Let s = 50 - 48. Determine k, given that -4*k - 5*k**s - k**5 - 890 + 444 + 5*k**3 + k**4 + 450 = 0.
-2, -1, 1, 2
Let g(b) be the first derivative of b**6/6 + 5*b**5/2 + 15*b**4/4 - 34*b + 42. Let u(w) be the first derivative of g(w). Factor u(d).
5*d**2*(d + 1)*(d + 9)
Let c = -1225448 - -3676456/3. Factor 0*x + c*x**3 + 0 - 4*x**2 - 93*x**4 + 27*x**5.
x**2*(x - 3)*(9*x - 2)**2/3
Let s(g) = g - 7. Let p be s(9). Suppose -4*w + 3*b = -20, 0*w + 18 = 5*w - p*b. Factor 2*d - 12*d - 38*d**w - 2*d + 30*d**2 + 4*d**3.
4*d*(d - 3)*(d + 1)
Let b(c) be the third derivative of -c**6/210 - 7*c**5 - 45141*c**4/14 - 269378*c**3/21 + 1545*c**2. Factor b(o).
-4*(o + 1)*(o + 367)**2/7
Suppose 0 = -130*m + 423 + 97. Let r(p) be the second derivative of -1/65*p**6 - 7/78*p**m + 2*p + 0 + 2/39*p**3 + 0*p**2 + 4/65*p**5. Factor r(c).
-2*c*(c - 1)**2*(3*c - 2)/13
Let q = -1/693 - -24355/693. Let s = 254/7 - q. Factor 0 + 4/7*w**3 - s*w**2 + 4/7*w.
4*w*(w - 1)**2/7
Let k(c) = c + 5. Let q be k(-2). Suppose 3*b + q = 15. What is u in 11*u - 5*u - 3*u**3 - 2*u + b*u**2 = 0?
-2/3, 0, 2
Let b(g) be the third derivative of g**8/672 - 11*g**7/210 + 89*g**6/240 + 23*g**5/6 - 23*g**4 + 48*g**3 + g**2 + 577*g. Solve b(a) = 0 for a.
-4, 1, 12
Factor 2/11*c**2 + 145800/11 + 1080/11*c.
2*(c + 270)**2/11
Factor -10913*k - 3*k**2 + 1777558 - 3552*k + 3269*k - 12223426.
-3*(k + 1866)**2
Let h(z) = -7*z**2 + 28*z - 48. Let g(i) = 16*i**2 - 58*i + 96. Let m(r) = 3*r**2 - 2*r + 1. Let n be m(1). Let j(a) = n*g(a) + 5*h(a). What is d in j(d) = 0?
4
Let q(x) be the third derivative of -x**7/