 7*y**2 + 1/3*y**5 + 0*y. What is s in q(s) = 0?
-3, -1/4
Let j = -10 + 14. Suppose -4*a - 8 = j*c, a + 0*c = c + 8. Factor -8*y + 2*y**5 - 30*y**4 + y**3 + 22*y**4 + 0*y**3 + 8*y**2 + 5*y**a.
2*y*(y - 2)**2*(y - 1)*(y + 1)
Let u be 48 + (-4 - 0 - 0). Let z = -41 + u. Factor 5*t**5 - 15*t**4 + 10*t**2 + 5*t**z - 2*t**2 + 7*t**2 - 10*t.
5*t*(t - 2)*(t - 1)**2*(t + 1)
Let q(o) be the third derivative of o**6/540 + 331*o**5/135 - 221*o**4/36 - 3*o**2 + 13. Factor q(f).
2*f*(f - 1)*(f + 663)/9
Factor -22/9*o**2 + 40/9*o + 2/9*o**3 + 64/9.
2*(o - 8)*(o - 4)*(o + 1)/9
Suppose -2*o = y - 6, 5*y + 2*o - 7 = 7. Suppose -5*f - 3*c = -2*c - 61, -18 = -y*f - 2*c. Factor -f*q - 5*q - 22*q + 24*q - 4*q**2.
-4*q*(q + 4)
Let r be 28/12 + -2 - (-4906)/264*2. Let u(x) be the second derivative of -41/4*x**4 - 55*x**3 + 0 - r*x**2 + 47*x - 3/5*x**5. Factor u(s).
-3*(s + 5)**2*(4*s + 1)
Let z be (-168)/(-56) + 101/2. Let x = -53 + z. Factor 0 + x*f**2 - 1/2*f**4 + 0*f + 0*f**3.
-f**2*(f - 1)*(f + 1)/2
Let f(s) = s + 31. Let k be f(-21). Let r = 14 - k. Solve -r*g**4 - 4*g - 9*g**2 + 21*g**2 + 12*g = 0.
-1, 0, 2
Let p be (-308)/(-31) - (-8)/124. Let k be (0 + 2)/((22 - p) + -4). Determine t so that -1/4*t**5 + 0*t - 1/4*t**2 + 1/4*t**3 + k*t**4 + 0 = 0.
-1, 0, 1
Let y(v) = 132*v**3 + 261*v**2 + 573*v - 816. Let z(c) = -52*c**3 - 130*c**2 - 286*c + 408. Let k(b) = -2*y(b) - 5*z(b). Factor k(u).
-4*(u - 34)*(u - 1)*(u + 3)
Determine w, given that 72/5 + 2/15*w**3 + 46/15*w**2 - 208/15*w = 0.
-27, 2
Solve 7/8*s**3 - 17/2*s**2 - 97/8*s - 11/4 = 0 for s.
-1, -2/7, 11
Let s(g) be the first derivative of 2*g**3/3 - 3*g**2 - 140*g + 4876. Find a, given that s(a) = 0.
-7, 10
Let i be ((-32)/4 - -41) + -4. Suppose -2*g = -i*g + 81. Let 0*w + 0 + 0*w**2 - 3/7*w**g = 0. Calculate w.
0
Let s be (42240/1400)/32 + 3/(-21). Factor -24/5*t + 4*t**2 + 0 - s*t**3.
-4*t*(t - 3)*(t - 2)/5
Let q = -209568978/2897 - -72340. Let s = 11570/26073 + q. Solve 0*h + 0 + 2/9*h**4 + s*h**3 + 0*h**2 - 2/9*h**5 = 0 for h.
-1, 0, 2
Let m(n) be the second derivative of -7*n**3/6 + 119*n**2 - n + 56. Let q be m(34). Factor 4/3*v**2 + q + 2/3*v + 0*v**3 - 2/3*v**5 - 4/3*v**4.
-2*v*(v - 1)*(v + 1)**3/3
Let t(s) be the third derivative of -s**8/840 + 17*s**7/525 - 27*s**6/100 + 23*s**5/30 - 5*s**4/6 - 134*s**2 - 7*s. Solve t(z) = 0 for z.
0, 1, 5, 10
Let j be ((-84)/(-20) + -1)*(11 - 858/88). Factor -9/2*h**3 - 7/2*h**2 - h - 1/2*h**5 + 0 - 5/2*h**j.
-h*(h + 1)**3*(h + 2)/2
Let f(c) = 50*c**3 - 24*c**2 - 70*c - 38. Let h(r) = 17*r**3 - 8*r**2 - 23*r - 13. Let p be (-8)/(-3)*294/56. Let l(w) = p*h(w) - 5*f(w). Factor l(b).
-4*(b - 2)*(b + 1)*(3*b + 1)
Let w be (5/100*10)/(1/6). Find p, given that -4*p**4 - 31*p**3 + 10*p**w - 11*p**3 - 64*p**2 = 0.
-4, 0
Let a = -310/21 + 108/7. Let w(y) be the first derivative of 1/2*y**2 + 0*y - 18 + 1/4*y**4 - a*y**3. Factor w(q).
q*(q - 1)**2
Let z = 967040 - 967040. Determine v, given that -1/5*v**3 + z - 729/5*v + 54/5*v**2 = 0.
0, 27
Suppose -b - 5 = -c, -5*b - 11 = c - 4. Let y(n) = 7*n**2 + 8*n. Let g(w) = 19*w**2 + 25*w. Let d(o) = c*g(o) - 8*y(o). Suppose d(h) = 0. Calculate h.
-11, 0
Let z(j) be the second derivative of -j**5/40 + 58*j**4/3 + 931*j**3/12 + 233*j**2/2 + 787*j. Factor z(f).
-(f - 466)*(f + 1)**2/2
Let m(z) = -30*z**2 + 1835*z - 28805. Let u(j) = -5*j**2 + 306*j - 4801. Let s be (-468)/108 - 1/6*-2. Let i(k) = s*m(k) + 25*u(k). Find t such that i(t) = 0.
31
Let u(q) be the first derivative of -2*q**4 + 6/25*q**5 + 84 + 96/5*q**2 + 8/5*q**3 - 128/5*q. Determine g so that u(g) = 0.
-2, 2/3, 4
Find m, given that 5*m**5 + 2520 - 7950*m - 2124*m**2 + 375*m**4 - 4214*m**3 + 539*m**3 + 10849*m**2 = 0.
-84, 1, 6
Let m(w) be the third derivative of 0*w + 2/105*w**7 - 2 + 0*w**3 + 1/24*w**6 - 15*w**2 + 1/30*w**5 + 0*w**4 + 1/336*w**8. Determine i so that m(i) = 0.
-2, -1, 0
Suppose 30 = 5*j + 5*m, -19308*j + 19302*j - 5*m = -30. Factor -8*y + j - 46/3*y**2 + 2/3*y**4 - 20/3*y**3.
2*y*(y - 12)*(y + 1)**2/3
Let b(y) be the third derivative of -y**6/90 - y**5/12 - y**4/4 - 299*y**3/6 - 4*y**2 - 3*y. Let m(a) be the first derivative of b(a). Solve m(k) = 0 for k.
-3/2, -1
Let s be (-3)/((12/20)/(-3)). Let u be (2 + (-40)/s)*-3. Factor 18 - 5*v**2 - 21*v + 4*v**2 + 3*v**u + v**2.
3*(v - 6)*(v - 1)
Suppose 0 = -4*i - 2944 + 2932, -3*i - 9 = -2*g. What is h in -32/5*h + 14/5*h**3 - 2/5*h**4 + g - 16/5*h**2 = 0?
-1, 0, 4
Let y = -234 - -237. Let w = 48 - 7. What is v in 16*v**4 - 4*v**2 - w*v**4 - 90*v**y + 20 - 53*v**2 - 28*v**2 = 0?
-2, -1, 2/5
Let v(b) be the second derivative of -b**7/1470 + b**6/60 - 35*b**2/2 + 23*b. Let x(t) be the first derivative of v(t). Suppose x(q) = 0. What is q?
0, 14
Let h be (-1240)/(-400) + 1 + -4. Let w(d) be the first derivative of 1/20*d**4 - 1/15*d**3 - 10 + 0*d + 1/25*d**5 - h*d**2. Find l such that w(l) = 0.
-1, 0, 1
Let q(l) be the second derivative of 0*l**2 + 1/18*l**4 - 1/45*l**6 - 3/5*l**5 + 2 + 2*l**3 + 22*l. Suppose q(o) = 0. Calculate o.
-18, -1, 0, 1
Let x = -116 - -27. Let t = 91 + x. Suppose 3*g**3 + g**3 + 187*g - 324 + 65*g + 77*g**t - 9*g**2 = 0. Calculate g.
-9, 1
Let r(j) be the second derivative of -j**4/21 + 8492*j**3/21 - 9014258*j**2/7 - 4295*j. Factor r(c).
-4*(c - 2123)**2/7
Suppose -4*x + 8 = -m + 3, 0 = -4*m - 4*x + 20. Let -38*h**m - 5*h + 57*h**2 + 48*h**3 - 62*h**2 = 0. Calculate h.
-1/2, 0, 1
Let n = 2338 - 2332. Let m(a) be the second derivative of 0*a**3 - 13/15*a**n + 0 + 25*a + 2/7*a**7 + 9/10*a**5 - 1/3*a**4 + 0*a**2. Let m(l) = 0. What is l?
0, 1/2, 2/3, 1
Let z(g) be the first derivative of -g**3/3 - g - 1. Let h(v) = v**3 - 7*v**2 - 9. Let c = -2088 - -2106. Let t(m) = c*z(m) - 2*h(m). Factor t(i).
-2*i**2*(i + 2)
Suppose 0 = -3*j, -y + 9*j + 3 = 11*j. Solve 17*u**2 - 5*u + 10*u**5 + 8*u**2 + 35*u**4 + 45*u**y + 6*u + 4*u = 0.
-1, -1/2, 0
Suppose -5125 = -52*l - 4917. Solve -2 - 3/2*m**2 + 1/2*m**4 - m**3 + l*m = 0 for m.
-2, 1, 2
Let j be 20 + 5382/(-322) + 0 + -3 + 0. Factor 32/7 + j*k**2 + 16/7*k.
2*(k + 4)**2/7
Let a(i) be the second derivative of i**6/120 - 51*i**5/80 + 15*i**4 - 72*i**3 - 2*i + 358. Let a(m) = 0. What is m?
0, 3, 24
Let b(o) be the first derivative of -o**4/14 - 10*o**3/21 - o**2 - 6*o/7 + 493. Factor b(t).
-2*(t + 1)**2*(t + 3)/7
Let t(c) be the first derivative of 1600*c + 40*c**4 - 56 - 80*c**2 - 532*c**3 - 4/5*c**5. Find r such that t(r) = 0.
-1, 1, 20
Suppose 5*w = -l + 66, -4*w + 5*l + 68 = 2*l. Factor -14*j**2 + j - 3*j**2 - 14 - w*j + 18*j**2.
(j - 14)*(j + 1)
Let i(j) be the third derivative of j**6/180 - 28*j**5/15 + 784*j**4/3 - 175616*j**3/9 + 2503*j**2. Solve i(a) = 0 for a.
56
Let p = 51/157 - -997/314. Determine i, given that -1/4*i**3 - 11/2 - 35/4*i - p*i**2 = 0.
-11, -2, -1
Suppose 49*n - 51*n = -5*u, -10 = 5*u - 4*n. Find d such that 82/15*d + 2/15*d**3 + 52/15 + 32/15*d**u = 0.
-13, -2, -1
Let i(u) be the second derivative of -u**5/130 - 29*u**4/78 + 94*u**3/39 - 64*u**2/13 - 7*u + 144. Suppose i(q) = 0. What is q?
-32, 1, 2
Let g(j) be the first derivative of 0*j + 50 + 33/32*j**4 + 3*j**3 + 3/40*j**5 - 27/4*j**2. Factor g(z).
3*z*(z - 1)*(z + 6)**2/8
Let j be (-1 - 12/(-8))*10. Find k, given that j*k**2 - 2*k**3 + 5*k + 7*k**3 + 5*k**2 = 0.
-1, 0
Let j(z) be the first derivative of 3*z**4/16 - 7*z**3/4 + 9*z**2/4 + 1136. Factor j(t).
3*t*(t - 6)*(t - 1)/4
Let g(n) = -n**2 + 5*n + 8. Let j be g(6). Suppose -3*p + 22 = -4*w, 4 = -p - 2*w - 2. Find c, given that -2*c**j - 7*c + 14*c**p + 10*c - 12 - 3*c**3 = 0.
-1, 1, 4
Let k(p) = p**3 + 7*p**2 + 4. Let i be k(-7). Suppose -33*c = -31*c - i. Suppose -164 + 5*a**c + 83 + 76 = 0. What is a?
-1, 1
Let r(i) be the second derivative of -i**4/3 + 250*i**3/3 - 492*i**2 + 67*i - 3. Factor r(x).
-4*(x - 123)*(x - 2)
Let w(p) be the third derivative of -p**8/80640 + p**7/4032 + p**6/480 + p**5/60 + p**3/2 - 34*p**2. Let u(q) be the third derivative of w(q). Factor u(t).
-(t - 6)*(t + 1)/4
Let r(n) be the first derivative of -n**5/4 - 47*n**4/42 - 26*n**3/21 - 4*n**2/7 - 30*n - 25. Let l(p) be the first derivative of r(p). Factor l(f).
-(f + 2)*(5*f + 2)*(7*f + 2)/7
Let f be 198/121 + -2 + 590/110. Let s(l) be the third derivative of 0 - 1/300*l**f - 1/10*l**4 - 7*l**2 + 0*l + 13/30*l**3. Factor s(n).
-