*(z - 11)*(z + 5)/5
Let y = 737 + -17683/24. Let a = y - -1/8. Solve a - 5/6*o + 2/3*o**2 - 1/6*o**3 = 0.
1, 2
Let l be (-1938)/(-1197) - 50/175. Determine o, given that -l - 19/3*o**2 - 8*o + 14*o**5 + 131/3*o**4 + 30*o**3 = 0.
-2, -1, -1/3, -2/7, 1/2
Let t(y) = y**2 + 11*y + 34. Let s be t(-6). Let z(m) be the third derivative of 1/210*m**5 + 0*m - 1/420*m**6 + 0*m**3 + 0*m**s + 0 - 14*m**2. Factor z(v).
-2*v**2*(v - 1)/7
Suppose -17*h + 5028 = -21*h. Let i = 1257 + h. Solve -2/11*m**3 + 6/11*m + i - 4/11*m**2 = 0 for m.
-3, 0, 1
Let w(y) be the second derivative of y**4/6 + 605*y**3/3 + 604*y**2 + 2*y + 3048. Determine u so that w(u) = 0.
-604, -1
Let f(y) = 2801*y - 58817. Let g be f(21). What is l in 0 - 2*l**2 + 1/2*l**g + 0*l**3 + 0*l = 0?
-2, 0, 2
Let z(v) be the third derivative of 1/40*v**6 + 77/8*v**4 - 4/5*v**5 + 0 + 0*v - 59*v**2 - 49*v**3. Suppose z(m) = 0. What is m?
2, 7
Let w(v) be the second derivative of -v**5/90 + v**4/9 + 83*v**2 + 5*v - 20. Let t(i) be the first derivative of w(i). Solve t(h) = 0 for h.
0, 4
Suppose q - 2 + 0 = 0. Suppose -4*g - 236 = -3*o, g - 4*g + 163 = q*o. Factor i - 3*i**2 - 16*i - o + 68.
-3*(i + 1)*(i + 4)
Let p be ((-72)/50)/(6*8/(-120)). What is t in -39/5*t + 3*t**2 - p = 0?
-2/5, 3
Determine k so that 1170 + 3965/2*k**2 - 5160*k - 505/2*k**3 + 10*k**4 = 0.
1/4, 6, 13
Suppose 196/3*m**2 + 44/3*m**4 + 4/3*m**5 - 40*m + 164/3*m**3 - 96 = 0. Calculate m.
-4, -3, -2, 1
Let m = 441 - 441. Let r(s) be the second derivative of 0*s**2 - 1/15*s**6 + 1/4*s**5 - 1/12*s**4 + 27*s + m - 1/3*s**3. Factor r(i).
-i*(i - 2)*(i - 1)*(2*i + 1)
Let h(i) be the third derivative of -3*i**6/80 - 407*i**5/120 + 63*i**4/4 + 47*i**3/3 + 16*i**2 - 15*i - 2. Suppose h(s) = 0. What is s?
-47, -2/9, 2
Let i(t) be the second derivative of 1/15*t**6 + 0*t**3 + 0 + 1/20*t**5 + 0*t**2 - 121*t - 1/42*t**7 - 1/6*t**4. Factor i(l).
-l**2*(l - 2)*(l - 1)*(l + 1)
Let o(u) be the second derivative of -u**7/42 - 19*u**6/60 - 19*u**5/60 + 7*u**4/12 - 40*u**2 - 28*u. Let a(y) be the first derivative of o(y). Solve a(j) = 0.
-7, -1, 0, 2/5
What is f in 392 + 2/3*f**2 + 592/3*f = 0?
-294, -2
Let r = -80939/7 - -11563. Factor -2/7*j**3 + 2/7*j - r + 2/7*j**2.
-2*(j - 1)**2*(j + 1)/7
Let p = 1364 + -1364. Let q(a) be the third derivative of p*a + 5/12*a**4 - 1/3*a**3 - 1/21*a**7 + 0 + 1/168*a**8 + 19*a**2 - 1/3*a**5 + 1/6*a**6. Factor q(z).
2*(z - 1)**5
Let r be 648/63 + -1 - -2 - (-11)/(-1). Let -4*k**2 - r*k**4 + 16/7*k + 2*k**3 + 0 = 0. Calculate k.
0, 1, 2, 4
Let w(f) be the second derivative of -f**4/3 - 34*f**3/3 + 36*f**2 - 811*f. Factor w(i).
-4*(i - 1)*(i + 18)
Suppose 0 = 4*s + 25 - 41. Suppose -2*m + 4 = -s. Suppose -5*i**m + 4*i**4 + 3*i**5 - 3*i**3 + 4*i**4 + 0*i**2 - 3*i**2 = 0. Calculate i.
-1, 0, 1
Let d(x) = x**3 + 3*x**2 - 6*x - 14. Let y be d(-3). Let 109 - 4*q**2 - 37 - 79*q + y*q + 7*q = 0. What is q?
-18, 1
Let c be -33 - -103 - -1*9. Suppose 8*u + 63 = c. Factor 1/4*q**3 + 1/4*q**u + 0 + 0*q.
q**2*(q + 1)/4
Let b(v) be the second derivative of v**6/120 + 17*v**5/60 + 10*v**4/3 + 32*v**3/3 - 105*v**2/2 - v - 6. Let z(t) be the first derivative of b(t). Factor z(q).
(q + 1)*(q + 8)**2
Suppose -12312*y - 6/7*y**5 - 86640/7 + 144/7*y**4 + 762/7*y**3 - 20532/7*y**2 = 0. What is y?
-10, -2, 19
Determine l so that -2812/5*l + 1293/5*l**2 + 1444/5 + 74/5*l**3 + 1/5*l**4 = 0.
-38, 1
Let c(n) be the second derivative of n**10/7560 + n**9/945 + n**8/1680 - n**7/105 - 43*n**4/12 - 4*n - 6. Let l(b) be the third derivative of c(b). Factor l(h).
4*h**2*(h - 1)*(h + 2)*(h + 3)
Let u(r) be the third derivative of 36*r**3 - 1/30*r**6 + 16*r**2 + 4/5*r**5 + 0 + 0*r - 15/2*r**4. Solve u(d) = 0.
3, 6
Let w(n) be the third derivative of 0 - 1/100*n**5 - 3/20*n**4 + 7/10*n**3 + 21*n - 2*n**2. Factor w(p).
-3*(p - 1)*(p + 7)/5
Let z = -501 + 531. Suppose 2*p = -d + 10, d - 22 = -35*p + z*p. Factor 5/8*s**3 + 1/8*s**p + 3/4*s**2 - 1/2*s - 1.
(s - 1)*(s + 2)**3/8
Let q(g) be the second derivative of -2/3*g**6 - 5/42*g**7 + 15*g**4 + 0 + 67*g + 3/2*g**5 + 45/2*g**3 + 0*g**2. Determine d so that q(d) = 0.
-3, -1, 0, 3
Let y(v) be the first derivative of v**5/10 + 8*v**4 + 237*v**3/2 - 2754*v**2 - 5832*v + 2124. Find r, given that y(r) = 0.
-36, -1, 9
Suppose 3*u = -c + 61, 53*c - 52*c - 3*u - 49 = 0. Let a be (c/(-44))/((-5)/20). Let -16/5*j - 1/5*j**5 - a*j**2 - 4/5 - 19/5*j**3 - 7/5*j**4 = 0. What is j?
-2, -1
Let o = -9950 - -248751/25. Let z(c) be the second derivative of 0 - 1/5*c**4 + 2/15*c**3 - 6*c + 6/5*c**2 - o*c**5. Find y, given that z(y) = 0.
-3, -1, 1
Let n = -57154/21 - -2722. Let v(o) be the second derivative of 8/7*o**2 + 0 - 2*o + n*o**3 + 1/21*o**4. Suppose v(w) = 0. What is w?
-2
Let a(i) be the second derivative of i**6/10 + 81*i**5/20 + 24*i**4 + 46*i**3 - 48*i - 22. Suppose a(x) = 0. What is x?
-23, -2, 0
Suppose 3/2*d**5 - 29*d + 55/2*d**3 - 59/4*d**4 + 20*d**2 - 21/4 = 0. What is d?
-1, -1/6, 1, 3, 7
Find d, given that 1/3*d**5 + 40/3*d**3 - 16/3*d**4 + 26/3 - 10/3*d**2 - 41/3*d = 0.
-1, 1, 2, 13
Let m be (-13680)/12312 - 47/(-18). Factor -m*w**3 - 3/2 - 9/2*w**2 - 9/2*w.
-3*(w + 1)**3/2
Let m(a) = 13*a**5 - 20*a**4 + 12*a**3 + 56*a**2 - 25*a + 30. Let f(v) = v**5 - v + 6. Let q(l) = -22*f(l) + 2*m(l). Solve q(g) = 0 for g.
-1, 1, 2, 9
Let l = -337 + 565. Factor 174 - 96*a - 83 + l + 257 + 4*a**2.
4*(a - 12)**2
Let q be 24/(-140) - (-6)/10. Suppose -4*x + 40 = 4*f, -203*x = -202*x + 3*f - 22. Factor q*w**x - 6/7*w**3 - 3/7 + 0*w**2 + 6/7*w.
3*(w - 1)**3*(w + 1)/7
Let q(i) = 2*i**3 - 7*i**2 + i + 7. Let d(m) = -m**3 + 5*m**2 - 2*m - 6. Suppose 4*s - 17 = -25. Let r(c) = s*q(c) - 3*d(c). Factor r(f).
-(f - 2)*(f + 1)*(f + 2)
Let o(q) be the second derivative of 11*q**5/30 - 25*q**4/18 + 17*q**3/9 - q**2 + 732*q. Factor o(d).
2*(d - 1)**2*(11*d - 3)/3
Suppose 59*q = 15*q + 1775 - 367. Let x(b) be the first derivative of 18 - 8*b**2 - 88/3*b**3 + q*b + 36/5*b**5 + 9*b**4. Suppose x(t) = 0. Calculate t.
-2, -2/3, 2/3, 1
Let g be 995*-1*4*(-9)/105. Let c = -341 + g. Factor 0 + 1/7*z**2 - 2/7*z**3 + c*z**4 + 0*z.
z**2*(z - 1)**2/7
Suppose 307*t - 1142 - 18031 = 11527. Determine u, given that -t*u + 1500 + 5/3*u**2 = 0.
30
Let y(c) be the third derivative of c**9/15120 + c**8/2520 + 7*c**5/6 - 40*c**2. Let b(k) be the third derivative of y(k). Suppose b(v) = 0. What is v?
-2, 0
Let n(c) = -c - 3. Let t be n(-8). Let x be (-654)/(-66) + 15/165. Factor 6 - t - x*a + 8 + 16 + a**2.
(a - 5)**2
Let p(n) be the first derivative of -4*n**5/5 + 126*n**4 - 6688*n**3 + 100672*n**2 + 2044416*n + 4827. Let p(v) = 0. Calculate v.
-6, 44
Let l(y) be the first derivative of y**4/4 - 25*y**3/3 - 693*y**2/2 - 3483*y + 4561. Factor l(j).
(j - 43)*(j + 9)**2
Let y(l) be the third derivative of 143*l**2 + 0*l - 1965/4*l**4 - 1350*l**3 - 1/20*l**6 + 0 + 134/15*l**5. Solve y(d) = 0.
-2/3, 45
Let r(z) be the first derivative of -4*z**3/3 - 2008*z**2 + 7962. Suppose r(x) = 0. Calculate x.
-1004, 0
Factor 376/3*a - 555/2*a**2 - 14 - 27/2*a**3.
-(a + 21)*(9*a - 2)**2/6
Let c be 35980/(-7200) - (-3 - (2 + 0)). Let n(v) be the third derivative of 0*v + 1/9*v**4 - 14*v**2 + 0 + c*v**6 - 2/9*v**3 - 1/36*v**5. Solve n(p) = 0.
1, 2
Suppose 6*q - q - 4*w + 98 = 0, -4*q + 5*w = 82. Let n = q + 21. Let 12*b**2 + b**3 - 8*b**n - 15 - 1 + 3*b**3 = 0. Calculate b.
-1, 2
Let g(a) be the first derivative of -5*a**4/8 - 5*a**3/3 - 726. Factor g(p).
-5*p**2*(p + 2)/2
Let b(z) = 74*z**2 + 6415*z - 12854. Let l(y) = 13*y**2 + 1069*y - 2142. Let a(p) = 6*b(p) - 34*l(p). Suppose a(r) = 0. What is r?
-1074, 2
Let i be (0 + -6)*(-46)/(-6). Let q = i + 60. What is h in -h**3 + q*h**2 - 32 + 3*h**3 - 581*h + 597*h = 0?
-4, 1
Find i such that 352/15*i + 2/15*i**2 + 114 = 0.
-171, -5
Let x(s) be the second derivative of -s**7/84 - 109*s**6/60 - 3023*s**5/40 - 2807*s**4/24 + 252*s**3 + 729*s**2 + 1342*s. Suppose x(y) = 0. What is y?
-54, -1, 1
Let w be (((-121)/(-11))/(-374))/(6/(9*-16)). Factor -2/17*i**3 + w*i**2 + 12/17 - 22/17*i.
-2*(i - 3)*(i - 2)*(i - 1)/17
Let z(k) = 5*k**3 + 385*k**2 + 4055*k + 14560. Let j(b) = 2*b**3 + 195*b**2 + 2028*b + 7278. Let h(i) = 5*j(i) - 3*z(i). Solve h(c) = 0 for c.
-18, -9
Let w be 9 - 13 - (9 + -7)/((-11)/33). Suppose -2/7*h**5 + 216/7