) + 2*u(g). Factor q(z).
-2*z*(z - 1)*(z + 1)*(z + 2)
Factor -4/3*a**2 - 640/3 + 112/3*a.
-4*(a - 20)*(a - 8)/3
Let x = 4040959/4 - 1010231. Factor -10 + 35/2*f + 5/4*f**3 - x*f**2.
5*(f - 4)*(f - 2)*(f - 1)/4
Suppose 0 = 2*m - 4*m + r - 193, -481 = 5*m - r. Let w be ((-1)/4)/((-40)/m)*-5. Determine t, given that -3*t**w - 3*t**2 + 17*t - 12 - 3*t**2 + 4*t + 0*t = 0.
-4, 1
Determine h so that 1476*h + 516*h**2 + 347 + 4*h**4 + 7*h**4 - 237 - 7*h**4 + 1402 + 76*h**3 = 0.
-7, -6, -3
Let j(o) = -6*o**2 - 8*o**3 + 14*o**3 + 275 - 4*o - 271. Let i(t) = 13*t**3 - 13*t**2 - 7*t + 7. Let z(c) = 4*i(c) - 9*j(c). Determine m, given that z(m) = 0.
-2, 1, 2
Let p(t) = -t**2 + 5*t - 1. Let l(a) = -4*a**2 + 38*a + 17. Let w(f) = f**3 - 14*f**2 + 2*f - 18. Let y be w(14). Let b(r) = y*p(r) - 2*l(r). Factor b(q).
-2*(q + 2)*(q + 11)
Let y be ((-8)/(-22))/((-74)/(-407)). Let l(n) be the second derivative of -5/2*n**y - 5/12*n**4 - 5/3*n**3 - n + 0. Let l(j) = 0. What is j?
-1
Let j(b) be the second derivative of -b**7/42 + b**6/15 + b**5 - 5*b**4/2 - 33*b**3/2 + 54*b**2 + 2145*b. Suppose j(u) = 0. Calculate u.
-3, 1, 3, 4
Suppose -2*s - a + 59 = 54, 0 = 3*a - 15. Let b(y) be the third derivative of 9*y**2 + 0*y + s*y**3 + 0*y**5 + 1/40*y**6 + 0 + 0*y**4. Factor b(f).
3*f**3
Suppose 0*i**4 - 18/5 + 18/5*i**2 - 3/5*i**5 + 24/5*i**3 - 21/5*i = 0. Calculate i.
-2, -1, 1, 3
Let h = -2403 + 2325. Let m be (-64)/1*(h/84)/13. Factor 2/7*r**5 - 12/7*r**4 + 18/7*r - 4/7 - m*r**2 + 4*r**3.
2*(r - 2)*(r - 1)**4/7
Let s = 1875 + -7333/4. Let m = -41 + s. Determine f, given that -3/4*f**5 + 9/4*f**3 + 3/8*f**2 + 3/8*f**4 - m*f + 0 = 0.
-1, 0, 1/2, 2
Let g(h) be the third derivative of -h**7/420 + 29*h**6/240 - 63*h**5/40 + 153*h**4/16 - 63*h**3/2 - 971*h**2. Determine m so that g(m) = 0.
2, 3, 21
Factor 244/3*z**2 - 484/3*z + 0 - 1/3*z**3.
-z*(z - 242)*(z - 2)/3
Let 0*i + 57/2*i**4 + 0 + 0*i**2 - 3249/4*i**3 - 1/4*i**5 = 0. What is i?
0, 57
Factor 3678724/3 + 4/3*v**2 - 7672/3*v.
4*(v - 959)**2/3
Let t(h) be the third derivative of h**6/80 + 6*h**5/5 + 47*h**4/16 - 6*h**2 + 24*h. Factor t(k).
3*k*(k + 1)*(k + 47)/2
Let z(t) = -t**2 - 12*t + 22. Let m(k) = -4*k**2. Let f(r) = -19*r**2 + 9*r - 16. Let l(q) = 4*f(q) - 20*m(q). Let u(i) = -3*l(i) - 8*z(i). Factor u(x).
-4*(x - 1)*(x + 4)
Let w(r) = -r**2 + 5*r + 9. Let l be w(6). Factor 5*h**3 + 15*h**5 - 25*h**3 + 2*h**l - 39*h**4.
3*h**3*(h - 3)*(5*h + 2)
What is k in 326/9*k + 92/9 + 152/9*k**2 + 2/3*k**3 = 0?
-23, -2, -1/3
Let p(j) = 17*j**2 + 58*j - 234. Let s(g) = 10*g**2 + 30*g - 118. Let q(w) = -3*p(w) + 5*s(w). Factor q(u).
-(u - 4)*(u + 28)
Suppose 37*l - 38*l + 2941 = 0. Factor 800*j + l + 21087 - 9789 + 17761 + 5*j**2.
5*(j + 80)**2
Let u(q) be the third derivative of 0 + 0*q**4 + 0*q + 13*q**2 + 1/60*q**6 + 0*q**3 - 1/15*q**5. Let u(b) = 0. What is b?
0, 2
Let g(l) be the third derivative of -l**6/40 - 17*l**5/20 - 10*l**4 - 50*l**3 + 178*l**2. Find o, given that g(o) = 0.
-10, -5, -2
Let y(b) be the third derivative of b**5/30 - 71*b**4/4 - 214*b**3/3 + 121*b**2 - 3. Suppose y(i) = 0. Calculate i.
-1, 214
Let j be (-108)/(-42)*(-18)/(-24 + 6). Solve -j*i**3 - 6/7*i**5 - 30/7*i**4 + 72/7 + 102/7*i**2 + 24*i = 0 for i.
-3, -2, -1, 2
Let i(a) = -20*a - 90. Let c be i(-5). Let x be (-129)/(-9) - (-4)/6. Suppose o + 4*o - 5*o**2 - c*o - x*o = 0. What is o?
-4, 0
Suppose -26*u = 1150 - 1332. Let o(w) be the third derivative of 0*w**3 - 5/24*w**4 - 2*w**2 + 1/12*w**5 - 1/42*w**u + 1/24*w**6 + 0*w + 0. Factor o(f).
-5*f*(f - 1)**2*(f + 1)
Let u(n) be the first derivative of n**5/240 + n**4/48 + 10*n**2 - 28. Let l(w) be the second derivative of u(w). Find g such that l(g) = 0.
-2, 0
Let j = -14544/413 - -2280/59. Factor -j*k**3 + 2/7*k**4 + 0 + 22/7*k**2 + 0*k.
2*k**2*(k - 11)*(k - 1)/7
Let d(v) be the third derivative of -v**6/900 + 119*v**5/45 - 70805*v**4/36 + 3045*v**2. Factor d(l).
-2*l*(l - 595)**2/15
Let k(y) = -46*y**3 + 872*y**2 + 4798*y - 5546. Let a(l) = -9*l**3 + 174*l**2 + 959*l - 1109. Let u(r) = -26*a(r) + 5*k(r). What is p in u(p) = 0?
-6, 1, 46
Factor 64*z**2 - 2 - 9793217*z**3 + 50*z**2 - 57*z**5 - 112*z**4 + 9793221*z**3 + 53*z.
-(z - 1)*(z + 1)**3*(57*z - 2)
Let 2/3*z**5 + 2572/3*z**2 + 38*z**3 + 1584 + 2152*z - 24*z**4 = 0. What is z?
-2, 9, 33
Let w(u) be the first derivative of 25*u**6/36 + 5*u**5/2 - 35*u**4/12 + 11*u**3/9 - u**2/4 + 28*u - 45. Let l(d) be the first derivative of w(d). Factor l(o).
(o + 3)*(5*o - 1)**3/6
Suppose -12 = -2*y + y - 3*m, 0 = m. Determine s, given that -3 - 3*s**5 - 2 - 9*s**4 + y*s**2 + 5 = 0.
-2, 0, 1
Solve -4*v - 2/7*v**2 - 14 = 0.
-7
Let r(f) be the first derivative of f**3/9 + 61*f**2/6 + 1747. Factor r(g).
g*(g + 61)/3
Let w(u) = -5*u**2 + 67*u - 167. Let a be w(10). Determine x, given that -2/17*x**4 + 2/17*x**2 + 0 - 2/17*x**5 + 2/17*x**a + 0*x = 0.
-1, 0, 1
Let c(b) = -b**3 - 11*b**2 + 81*b + 31. Let a be c(-16). Solve h**4 + a + 7*h + 52*h**3 + 5*h**4 - 14*h**3 + 1 + 11*h - 78*h**2 = 0.
-8, -1/3, 1
Let s(y) be the third derivative of y**8/2240 - y**7/560 + y**5/80 - y**4/32 - 19*y**3 + 24*y**2. Let v(p) be the first derivative of s(p). Factor v(k).
3*(k - 1)**3*(k + 1)/4
Let w(o) be the first derivative of 1/5*o - 7/5*o**2 + 49/15*o**3 - 56. Factor w(x).
(7*x - 1)**2/5
Suppose -18*z = 10*z - 23*z + 10*z. Let r(d) be the second derivative of -4/15*d**6 + z*d**3 + 2/21*d**7 + 1/5*d**5 + 0 + 0*d**4 + 13*d + 0*d**2. Factor r(j).
4*j**3*(j - 1)**2
Let i(s) = s**3 - 2*s**2 + s. Let r(y) be the third derivative of -3*y**6/40 + y**5/2 - 11*y**4/8 + 2*y**3 - 40*y**2. Let v(m) = -6*i(m) - r(m). Factor v(j).
3*(j - 4)*(j - 1)**2
Let y(v) be the third derivative of -v**8/84 - 4*v**7/35 - v**6/5 + 4*v**5/3 + 13*v**4/2 + 12*v**3 + 5*v**2 - 580. Determine t, given that y(t) = 0.
-3, -1, 2
Suppose -r = -3*o + 21, -326 + 315 = -5*o - r. Solve -22/7*f**3 - 10/7*f**2 + 16/7*f**o - 6/7 + 22/7*f = 0.
-1, 3/8, 1
Let y(q) = -q**4 - 140*q**3 - 5040*q**2 - 9664*q - 4757. Let g(p) = p**2 + 2*p - 2. Let t(r) = 6*g(r) + 3*y(r). Solve t(l) = 0 for l.
-69, -1
Let b(v) be the first derivative of -3*v**4/8 - 153*v**3/2 - 882*v**2 - 3480*v - 4762. Suppose b(z) = 0. What is z?
-145, -4
Suppose -2*z = q - z - 11, 16 = -4*z. Suppose 5*g - 4 = 3*p + q, -5*p = 2*g + 11. Suppose 8/5*t**2 + 19/5*t + g - 1/5*t**3 = 0. Calculate t.
-1, 10
Suppose -1153*d + 5786 = 1361*d - 2483 - 1787. Determine z, given that -128/3 - 4/9*z**d - 608/9*z - 8*z**3 - 112/3*z**2 = 0.
-12, -2
Let o be (48/(-20) - -2) + 66/15. Let i be (-82 - -81)*-2*6/o. Factor z**2 - z - 1/3*z**i + 1/3.
-(z - 1)**3/3
Let m be (-16)/(-152) - 1674/(-342). Let r(g) be the first derivative of 4*g - 12/5*g**m - 2/3*g**6 + 6*g**2 + 8/3*g**3 - 31 - 2*g**4. What is x in r(x) = 0?
-1, 1
Let r(m) be the first derivative of -2*m**3/9 + 1162*m**2/3 + 1552*m + 9827. Factor r(l).
-2*(l - 1164)*(l + 2)/3
Let r(j) be the third derivative of -j**6/780 - 33*j**5/130 + 34*j**4/13 - 412*j**3/39 - 2911*j**2. Factor r(v).
-2*(v - 2)**2*(v + 103)/13
Determine z so that -7457*z + 12 - 7449*z + z**2 + 14926*z - 3*z**3 = 0.
-2, -2/3, 3
Factor 7/3*r**3 - 476/3 + 557*r**2 + 396*r.
(r + 1)*(r + 238)*(7*r - 2)/3
Let v(x) be the third derivative of -x**6/60 + x**5/5 + 21*x**4/4 + 36*x**3 - 453*x**2. Suppose v(o) = 0. What is o?
-3, 12
Let y(u) = -3*u**2 + 44*u + 17. Let j be y(15). Let f(i) be the first derivative of -4/5*i**j + 2/15*i**3 + 3 + 6/5*i. Factor f(q).
2*(q - 3)*(q - 1)/5
Let t = 131869/527572 - -6/131893. Factor 1/2*l**5 + 1/4*l**4 + 0 + 0*l + 0*l**2 - t*l**3.
l**3*(l + 1)*(2*l - 1)/4
Let j be 86114/(-182) + 2 + 24/(-13). Let f = -2359/5 - j. Solve f*z**3 + 0 + 0*z + 0*z**2 + 27/5*z**4 = 0.
-2/9, 0
Let b(y) = -y**4 + 8*y**3 - 7*y**2 - 38*y + 6. Let h(o) = o**4 - 2*o**3 - o**2 + o - 3. Let c(t) = b(t) + 2*h(t). Determine a, given that c(a) = 0.
-4, -3, 0, 3
Let f(n) be the third derivative of -n**6/120 - 3*n**5/10 - n**2 + 662*n. Suppose f(y) = 0. What is y?
-18, 0
Let j(h) = -36 + 12*h**2 - 4*h**2 - 10*h**2 + 22*h. Let p be j(9). Factor 9/5*v**3 + 6/5*v**4 + 0*v + 1/5*v**5 + p*v**2 + 0.
v**3*(v + 3)**2/5
Factor 154060*l - 300 + 154233*l - 308986*l + l**2 - 394.
(l - 694)*(l + 1)
Let m(c) be the second derivative of c**5/10 - 19*c**4/15 - 436*c**3/15 - 