 65*r - 3. Factor s(g).
-2*(g - 3)*(g + 1)*(g + 17)/3
Let t(o) be the first derivative of 33/2*o**2 - 196 + 0*o - 1/2*o**3. Factor t(r).
-3*r*(r - 22)/2
Find y, given that -113*y**3 - 11677*y**4 - 40*y**3 - 185*y**3 + 11675*y**4 = 0.
-169, 0
Let h(m) be the second derivative of -m**4/66 + 34*m**3 - 28611*m**2 - 21*m - 1. Factor h(a).
-2*(a - 561)**2/11
Let c(w) = w**5 - 4*w**4 + w**3 + w**2 + 2*w - 3. Let i(x) = 4*x**5 - 42*x**4 + 2*x**3 + 110*x**2 + 60*x - 146. Let u(g) = 6*c(g) - i(g). Solve u(s) = 0.
-8, -2, 1, 2
Let k be -3 + 567/168 + (805/200 - 4). Suppose -4/5 + 4/5*p**2 - k*p**3 + 2/5*p = 0. Calculate p.
-1, 1, 2
Let d(y) be the second derivative of y**4/4 + 4*y**3 - 195*y**2/2 - 7375*y. Factor d(p).
3*(p - 5)*(p + 13)
Let 17/12*h**3 - 10/3*h**2 - 1/12*h**4 - 25*h + 0 = 0. Calculate h.
-3, 0, 10
Let b = -120743 + 2534872/21. Let j = -101/3 - b. Suppose -2/7*t**2 - 10/7*t - j = 0. Calculate t.
-4, -1
Let a(q) be the third derivative of -29*q**8/112 - 13*q**7/6 - 883*q**6/120 - 263*q**5/20 - 157*q**4/12 - 20*q**3/3 + 6411*q**2. Solve a(b) = 0 for b.
-2, -1, -20/87
Let q(j) be the third derivative of -3*j**8/56 + 38*j**7/105 - 11*j**6/15 + 4*j**5/15 - 525*j**2. Find r such that q(r) = 0.
0, 2/9, 2
Let q(a) be the third derivative of 0 + 0*a**6 + 0*a**4 - 1/140*a**7 + 1/20*a**5 - 1/4*a**3 + 0*a - 181*a**2. Suppose q(y) = 0. Calculate y.
-1, 1
Let p(g) = -105*g**4 - 325*g**3 - 335*g**2 - 5*g. Let f(u) = -u**5 - 157*u**4 - 487*u**3 - 501*u**2 - 7*u. Let q(v) = 5*f(v) - 7*p(v). Factor q(o).
-5*o**2*(o + 2)*(o + 4)**2
Let h = 814 + -812. Let z(c) be the second derivative of 1/3*c**h + 0 + 0*c**3 - 1/18*c**4 + 27*c. Factor z(v).
-2*(v - 1)*(v + 1)/3
Let p(z) be the third derivative of -z**7/42 + 4*z**6 - 63*z**5/4 + 235*z**4/12 + 5*z**2 + 28*z - 4. Solve p(m) = 0 for m.
0, 1, 94
Let k(w) be the second derivative of -w**7/210 + w**6/40 + 125*w**2/2 + 41*w. Let r(f) be the first derivative of k(f). Find d, given that r(d) = 0.
0, 3
Let d(a) be the second derivative of -a**7/252 + a**6/36 + 13*a**5/40 - 13*a**4/72 - 59*a**3/18 - 6*a**2 - 41*a + 12. Determine y so that d(y) = 0.
-4, -1, 2, 9
Let y(a) be the first derivative of a**7/42 - a**6/24 - a**5/4 + 5*a**4/24 + 5*a**3/3 - 27*a**2/2 + 68. Let o(t) be the second derivative of y(t). Factor o(k).
5*(k - 2)*(k - 1)*(k + 1)**2
Let w be (1/2)/(-70 + 75)*4. Solve w*a**2 - 12/5*a + 16/5 = 0 for a.
2, 4
Factor 1836/7*q + 1/7*q**2 + 842724/7.
(q + 918)**2/7
Let u(k) be the second derivative of k**6/360 + k**5/48 + k**4/24 + 43*k**3/6 + 2*k + 1. Let b(g) be the second derivative of u(g). Factor b(q).
(q + 2)*(2*q + 1)/2
Factor -30/11*i + 1/11*i**2 - 64/11.
(i - 32)*(i + 2)/11
Let n = 385 + -381. Let r be (3/n + -1)/((-12)/64). Factor r*h**3 + 4/3*h + 0 + 8/3*h**2.
4*h*(h + 1)**2/3
Let n(p) be the third derivative of p**7/240 + 481*p**6/960 - 215*p**5/32 + 1869*p**4/64 - 225*p**3/8 - 32*p**2 - 1. Determine l, given that n(l) = 0.
-75, 2/7, 3
Let s(a) be the second derivative of 0 - 4/3*a**3 - 70*a + 0*a**2 - 1/75*a**6 - 1/50*a**5 + 8/15*a**4. Determine t, given that s(t) = 0.
-5, 0, 2
Factor -591576/7*n - 61918288/7 - 1884/7*n**2 - 2/7*n**3.
-2*(n + 314)**3/7
Determine p, given that 0 - 762/7*p**2 - 3/7*p**3 - 48387/7*p = 0.
-127, 0
Let l(w) be the first derivative of 1/7*w**6 + 26/7*w**3 - 3/2*w**4 - 16 - 6/35*w**5 + 0*w - 18/7*w**2. Suppose l(u) = 0. Calculate u.
-3, 0, 1, 2
Let k be -33 + (805 - -35)/24. Factor -1/3*j**k - 1444/3 - 76/3*j.
-(j + 38)**2/3
Let a(t) = 3*t**2 + 47*t + 22. Let q be a(-15). Let k be (q/(-20) - (-12)/(-30))/3. Factor 0 - 4/9*s**2 - 8/9*s**4 - 10/9*s**3 + k*s - 2/9*s**5.
-2*s**2*(s + 1)**2*(s + 2)/9
Solve -2*v**3 - 8669*v + 62996 - 1827*v + 10732 + 274*v**2 = 0 for v.
9, 64
Let y(v) be the third derivative of 0*v - 1/2*v**3 + 0 + 1/48*v**5 + 80*v**2 + 17/96*v**4. Factor y(k).
(k + 4)*(5*k - 3)/4
Let o be 0/((-27)/(-243)*9). Let z = 313/6 + -52. Factor -1/6*u**2 + 1/3*u + 1/6*u**4 + z*u**5 - 1/2*u**3 + o.
u*(u - 1)**2*(u + 1)*(u + 2)/6
Let x(p) be the second derivative of 17*p**4/12 + 175*p**3/2 - 31*p**2 - 1327*p. Solve x(m) = 0 for m.
-31, 2/17
Let o(q) be the first derivative of -q**6/180 + q**5/30 + q**4/4 + 5*q**3/3 - q**2/2 + 20. Let f(y) be the third derivative of o(y). Factor f(r).
-2*(r - 3)*(r + 1)
Suppose -7*h = -0*h + 6*h. Let s(p) be the second derivative of p**2 - 2/3*p**3 + 5*p + h + 5/24*p**4 - 1/40*p**5. Factor s(l).
-(l - 2)**2*(l - 1)/2
Let n be 176/(-28) - -6 - (-48)/21. Let s be 456/(-266) + n/1. Suppose -s*u**4 + 0 - 4/7*u - 10/7*u**2 - 8/7*u**3 = 0. What is u?
-2, -1, 0
Let w be (-4)/(-6)*(-3 + 60/8). Suppose 0*v - 34 = -w*f - 5*v, -f = 2*v - 13. Factor -z**3 + 18*z**2 + 169*z**4 - f*z**3 - 173*z**4 + 2*z**2 - 12*z.
-4*z*(z - 1)**2*(z + 3)
Let b(t) = -8*t**3 - 63*t**2 + 138*t - 70. Let x(k) = -6*k**3 - 62*k**2 + 134*k - 68. Let f(q) = -4*b(q) + 6*x(q). Factor f(p).
-4*(p - 1)**2*(p + 32)
Let p(u) be the third derivative of 0*u + 0 - 1/900*u**6 + 9/2*u**3 + 0*u**5 + 1/15*u**4 - 26*u**2. Let c(s) be the first derivative of p(s). Factor c(l).
-2*(l - 2)*(l + 2)/5
Let t(b) be the third derivative of -b**6/960 - b**5/8 + 61*b**4/192 - 10*b**2 - 21*b. Factor t(n).
-n*(n - 1)*(n + 61)/8
Let g(m) = -2*m - 28. Let c be g(-19). Factor 2*j**3 + 4 - 1 - 5 + 16*j + c + 10*j**2.
2*(j + 1)*(j + 2)**2
Let j(k) be the third derivative of -k**6/960 + k**5/20 + 7*k**4/12 - 3288*k**2. Solve j(v) = 0 for v.
-4, 0, 28
Let d(w) be the second derivative of 1/45*w**6 - 11/18*w**4 - 79*w - 14/9*w**2 - 1/18*w**5 + 0 - 13/9*w**3. Solve d(n) = 0 for n.
-1, 14/3
Let u(y) = 11*y**3 + 74*y**2 + 180*y - 2. Let t(v) = 6*v**3 - v**2 - 2. Let o(d) = -t(d) + u(d). Factor o(g).
5*g*(g + 3)*(g + 12)
Let v = 597 + -540. Let w = 0 + 2. Determine g so that -32 + 12*g + 3*g**w + 74 - v = 0.
-5, 1
Let h(c) be the second derivative of -2 - 1/12*c**3 + 1/40*c**5 - 11*c + 1/4*c**4 - 3/2*c**2. Factor h(p).
(p - 1)*(p + 1)*(p + 6)/2
Let k(q) be the third derivative of -q**5/30 - 1343*q**4/6 - 895*q**3 + 64*q**2 + 12*q + 2. Factor k(b).
-2*(b + 1)*(b + 2685)
Let i(k) be the first derivative of 2*k**3/9 + 622*k**2 + 580326*k + 3931. Solve i(m) = 0 for m.
-933
Let y(w) = -11316*w - 101844. Let m be y(-9). Find n such that m*n**2 - 1/6*n**4 + 1/2*n**3 - 2/3*n + 0 = 0.
-1, 0, 2
Let z(m) be the first derivative of m**3/12 + m**2/4 - 3*m/4 + 513. Factor z(h).
(h - 1)*(h + 3)/4
Let v be 3/(12/(-35)) - (381 - 390). Factor 11/4*d**2 + 6*d - 9 + v*d**3.
(d - 1)*(d + 6)**2/4
Factor 64*k - 15*k + 0*k**2 - 8*k - 9*k + k**2.
k*(k + 32)
Let a(b) = -5*b**3 + 5*b**2 + 30*b + 25. Let v(x) = -5*x**3 + 4*x**2 + 31*x + 26. Let n be (1 - -1)/(((-2)/(-4))/1). Let y(k) = n*a(k) - 5*v(k). Factor y(u).
5*(u - 3)*(u + 1)*(u + 2)
Find k such that -423/2 + 1/4*k**2 + 279/4*k = 0.
-282, 3
Let b be (89/801)/(3*24/108). Factor -b*y**2 - 1369/6 + 37/3*y.
-(y - 37)**2/6
Let f be 6441/20349 + -3 + (-260)/(-84). Let k(l) be the second derivative of 0 - 27*l + 5/17*l**2 + 2/51*l**4 + f*l**3. Find u such that k(u) = 0.
-5, -1/4
Let c(f) be the first derivative of -5*f**3/3 - 115*f**2/2 - 600*f - 1144. Determine a, given that c(a) = 0.
-15, -8
Let o = -457702 - -457702. Suppose -3/2*b + 5*b**2 - 6*b**3 - 1/2*b**5 + o + 3*b**4 = 0. Calculate b.
0, 1, 3
Let u(y) = y**2 - 144. Let q be u(-12). Let j be (q/2)/((-78)/13 + 12). Factor -2/7*d**4 + j + 2/7*d**2 - 4/7*d + 4/7*d**3.
-2*d*(d - 2)*(d - 1)*(d + 1)/7
Let s be 360/(-288)*(2 + (-456)/225). Let b(i) be the third derivative of 0*i + 2/5*i**5 - 21*i**2 + 2*i**4 + s*i**6 + 0 + 16/3*i**3. Let b(q) = 0. What is q?
-2
Let r = 1881719/15 + -125447. Factor 2/15*g**3 + 4/15*g**2 + 8/15 - r*g.
2*(g - 1)**2*(g + 4)/15
Factor 37/3*i**3 + 0*i + 1/9*i**4 + 0 + 218/9*i**2.
i**2*(i + 2)*(i + 109)/9
Let s(h) be the first derivative of -7*h**5/20 + 13*h**4/6 - 5*h**3/2 - 64*h - 31. Let x(y) be the first derivative of s(y). Suppose x(v) = 0. Calculate v.
0, 5/7, 3
Solve 1/2*t**3 + 4*t**2 - 6*t - 1/2*t**4 + 0 = 0.
-3, 0, 2
Let b = -4/4599 + 7697/36792. Let o(y) be the third derivative of 0 + 0*y - b*y**4 - 1/24*y**5 - 9*y**2 + 0*y**3. Let o(r) = 0. Calculate r.
-2, 0
Let j = -371 - -173. Let x = 397 + j. Factor -48*f**2 + 44*f**2 - 56*f - x + 3.
-4*(f + 7)**2
Suppose 13*v = -5*q + 10*v + 388, 2*q - 168 = 2*