 - 8/3*c**4 - 2 + 0*c + 18*c**2 + 1/5*c**5. Factor v(o).
4*(o - 5)*(3*o - 1)
Factor 72*c**2 + 9*c - c - 17*c - 73*c**2 + 45 - 3*c.
-(c - 3)*(c + 15)
Let f(v) be the second derivative of 4*v**7/35 + v**6/6 - v**5/15 - 31*v**2/2 - 4*v - 4. Let c(a) be the first derivative of f(a). Factor c(y).
4*y**2*(y + 1)*(6*y - 1)
Find a, given that -160488/5*a + 432/5 - 820344814/5*a**3 + 19873764/5*a**2 = 0.
6/743
Factor -27*h**2 + 98*h + 3*h**3 - 5*h**3 - 65*h**2 - 5*h**2 + h**3.
-h*(h - 1)*(h + 98)
Let q(a) = -a**3 - a**2 - 2. Let f be q(-2). Let d be (10 - 2) + (-6)/f - 2. Factor -67*t**d - 129*t**3 + 104*t**2 + 64*t**2 - 36*t.
-4*t*(7*t - 3)**2
Factor 0 - 14*q**2 + 2/3*q.
-2*q*(21*q - 1)/3
Let u(g) be the third derivative of 2*g**7/315 - 35*g**6/9 + 116*g**5/5 - 521*g**4/9 + 694*g**3/9 - 26*g**2 - g. Determine t, given that u(t) = 0.
1, 347
Let o(c) be the first derivative of -2 - 3/20*c**4 - 1/5*c**3 + 6/5*c**2 + 12/5*c. Factor o(q).
-3*(q - 2)*(q + 1)*(q + 2)/5
Let i(m) be the second derivative of 0*m**2 - 26 - 2*m + 1/6*m**3 - 1/60*m**4. Factor i(a).
-a*(a - 5)/5
Let a(n) be the first derivative of n**6/30 + n**5/5 - 25*n**4/6 + 14*n**3 - 7*n**2/2 - 2*n + 86. Let m(z) be the second derivative of a(z). Factor m(p).
4*(p - 3)*(p - 1)*(p + 7)
Let o(i) = 13*i**3 - 22*i**2 + 144*i. Let z(c) = -4*c**3 + 8*c**2 - 48*c. Let d(g) = -6*o(g) - 19*z(g). Suppose d(a) = 0. What is a?
-12, 0, 2
Let x(c) be the first derivative of c**5/5 + 9*c**4/2 + 29*c**3 + 55*c**2 + 101. Factor x(f).
f*(f + 2)*(f + 5)*(f + 11)
Let x = -53655 - -158534/3. Let h = x + 811. Find s such that h + 4/3*s - 5/6*s**2 = 0.
-2/5, 2
Let n(j) = -j**3 + 4*j**2 + 11*j + 8. Let d be n(6). Let p be (12/15)/((-41)/(-205)). Determine y, given that 0 - 3/4*y**d - 1/4*y + 3/4*y**p + 1/4*y**3 = 0.
-1, -1/3, 0, 1
Determine y so that -2436/13*y - 10/13*y**2 + 976/13 = 0.
-244, 2/5
Let p(y) be the second derivative of -y**4/3 - 364*y**3/15 - 1296*y**2/5 - 5341*y. Factor p(f).
-4*(f + 4)*(5*f + 162)/5
Let n be 0/((-20)/(-14) + (-60)/140). Suppose -5*m - 2 = k, -5*m - 3 = -4*k - 11. Find d, given that m + 2/3*d**3 + n*d**2 + 4/3*d**4 + 2/3*d**5 + 0*d = 0.
-1, 0
Let i(l) = -l**2 + 20*l - 100. Let u be i(7). Let g be (-6 + 6)*(-3)/u*3. Let g*v + 0*v**2 + 1/2*v**4 + 0*v**3 + 0 = 0. What is v?
0
Suppose 25*p + 34*p - 164 + 46 = 0. Factor 1/2*j**3 + 3/2*j - 1/2 - 3/2*j**p.
(j - 1)**3/2
Let t = 8396211/24604 + -24/6151. Let z = t - 341. Suppose -1/2*h**2 + 1/4*h + 1/2 - z*h**3 = 0. Calculate h.
-2, -1, 1
Let f(j) = -5*j**2 + 25*j + 5. Let d(l) = -12*l - 13*l**2 + 15*l**2 - 2 + l**2. Let c(h) = -5*d(h) - 2*f(h). Factor c(a).
-5*a*(a - 2)
Let l be ((-1)/3 + (-156982)/168)/14. Let j = l + 470/7. Factor 3/4 + j*t**3 - 9/8*t + 0*t**2.
3*(t - 1)**2*(t + 2)/8
Let c = -626814 - -626816. Suppose 19/4*g - 3 - 2*g**c + 1/4*g**3 = 0. Calculate g.
1, 3, 4
Suppose 15*m + 14*m - 6*m - 6*m = 0. Let b(q) be the third derivative of m*q - 13*q**2 - 2*q**3 + 0 + 2/3*q**4 - 1/15*q**5. Factor b(l).
-4*(l - 3)*(l - 1)
Let s be ((30/48)/((-70)/28))/(1/(-6)). Let q(w) be the second derivative of 3/16*w**4 + 0*w**3 + 3/80*w**5 + 4*w + 0 - s*w**2. Suppose q(t) = 0. Calculate t.
-2, 1
Let i(j) be the third derivative of -j**5/150 + 211*j**4/60 - j**2 + 195*j - 6. Factor i(s).
-2*s*(s - 211)/5
Let b(k) be the second derivative of -49*k**4/18 + 2338*k**3/3 - 83667*k**2 - 3261*k. Factor b(m).
-2*(7*m - 501)**2/3
Let g(x) be the first derivative of 15*x + 1/60*x**6 - 1/6*x**3 - 9 + 0*x**2 - 1/8*x**4 + 0*x**5. Let i(w) be the first derivative of g(w). Solve i(m) = 0.
-1, 0, 2
Let a(l) be the third derivative of l**6/300 - 79*l**5/30 + 39203*l**4/60 - 38809*l**3/15 - 305*l**2 + 3. Factor a(h).
2*(h - 197)**2*(h - 1)/5
Let t(d) be the third derivative of d**9/1512 + d**8/280 + d**7/210 + 4*d**3/3 - 7*d**2. Let r(b) be the first derivative of t(b). Factor r(l).
2*l**3*(l + 1)*(l + 2)
Let i(a) = -7*a + 34. Let u be i(5). Let l be u*(-4 + 4) - -4. Factor l - 11*n**2 + 33*n**2 - 14*n**2 + 2*n - 2*n**3 - 12*n**2.
-2*(n - 1)*(n + 1)*(n + 2)
Let v(m) be the first derivative of -m**3/3 + 3*m**2 - 12*m + 68. Let f = 4 - 10. Let k(u) = 1. Let l(z) = f*k(z) - 2*v(z). Let l(b) = 0. Calculate b.
3
Factor 2/7*p**2 + 142/7*p + 0.
2*p*(p + 71)/7
Let u(l) = 7*l**2 - 343*l + 49. Let f be u(49). Suppose 28*k - f*k = -27*k. Factor 2/5*t**4 + k*t - 2/5*t**3 + 0 + 0*t**2.
2*t**3*(t - 1)/5
Let t(j) = -j**5 - j**4 - j**3 - j + 2. Let q(z) = 10*z**5 + 18*z**3 + 85*z**2 - 141*z - 18. Let b(y) = -q(y) - 9*t(y). Factor b(v).
-v*(v - 5)**2*(v - 2)*(v + 3)
Suppose 0 = -c - o, 5*c = c - 3*o + 5. Suppose c*w = 1 + 9. Determine l so that -12 + l**2 - 5*l**w - 20*l - 4 = 0.
-4, -1
Let g(a) = 14*a**2 + 42*a + 38. Let f(r) = 4*r**2 + 14*r + 13. Let q = -383 - -393. Let v(i) = q*f(i) - 3*g(i). What is w in v(w) = 0?
-1, 8
Let w = -191579/15 + 12772. Let c(p) be the second derivative of -2/27*p**3 + 0 - w*p**6 + 33*p + 0*p**2 + 1/45*p**5 + 1/6*p**4. Let c(h) = 0. Calculate h.
-1, 0, 2/9, 1
Let k be (-208)/(-312)*(-3)/(-20). Let r(g) be the second derivative of -1/15*g**6 - 1/3*g**3 + 1/6*g**4 + 19*g + 0 + 0*g**2 + k*g**5. Let r(t) = 0. What is t?
-1, 0, 1
Let s be 1*(-4)/6*((1 - 1) + -3). Let f(g) be the third derivative of 0 + 0*g**3 - 1/90*g**5 + 1/72*g**4 - 1/360*g**6 + 0*g + 1/315*g**7 + 23*g**s. Factor f(d).
d*(d - 1)*(d + 1)*(2*d - 1)/3
Let d(w) be the first derivative of 149 + 0*w + 2/15*w**5 + 23/6*w**4 + 80/3*w**3 - 48*w**2. Find u such that d(u) = 0.
-12, 0, 1
Let t(z) be the second derivative of 44*z - 20/9*z**2 + 13/27*z**4 + 13/45*z**5 - 2/45*z**6 - 26/27*z**3 + 0. Find k such that t(k) = 0.
-1, -2/3, 1, 5
Find d such that -118*d**2 - d**3 + 3*d**2 + 358*d + 13556 - 6714 - 6370 = 0.
-118, -1, 4
Determine t, given that -3159/2*t + 15/2*t**2 + 945 = 0.
3/5, 210
Let j(h) = -24*h**2 + 14483*h - 13118889. Let b(q) = -58*q**2 + 36208*q - 32797222. Let r(s) = -5*b(s) + 12*j(s). Suppose r(k) = 0. Calculate k.
1811
Let x(y) be the third derivative of -y**6/180 + 43*y**5/30 - 95*y**4/9 + 28*y**3 - 6609*y**2. Factor x(j).
-2*(j - 126)*(j - 2)*(j - 1)/3
Suppose -58*i - 193 + 363 + 62 = 0. Factor -1/2*j**i + 0 + 49/2*j - 13/2*j**3 - 35/2*j**2.
-j*(j - 1)*(j + 7)**2/2
Suppose -7*o + o + 30 = 0. Suppose -5*w + 20 = -o*i, i - 160 + 164 = 0. Factor 0*j + 1/7*j**3 + w - 1/7*j**2.
j**2*(j - 1)/7
Suppose -2*b = -7*b - 2*b - 15*b. Let z(s) be the third derivative of b*s**6 + 1/420*s**7 + 13*s**2 + 0 + 0*s**4 + 0*s + 0*s**5 + 0*s**3. What is a in z(a) = 0?
0
Let i(q) be the third derivative of q**4/24 + q**3 - 7*q**2. Let r be i(-2). Factor -4*x**2 + 24 - r*x**2 + 12*x**2 + 20*x.
4*(x + 2)*(x + 3)
Let g(t) = t**3 - t**2 - 59*t - 17. Let x be g(-7). Let 80*o**3 - 4*o + 34*o**2 - 46*o**x + 133*o**4 - 45*o**4 = 0. Calculate o.
-1, 0, 2/21
Let f(p) be the third derivative of 2*p**7/525 - 17*p**6/50 + 722*p**5/75 - 304*p**4/5 + 768*p**3/5 - 2*p**2 - 378. Suppose f(n) = 0. Calculate n.
1, 2, 24
Suppose -500/7*o**3 + 492/7*o**2 + 0 - 492/7*o**4 + 4/7*o**5 + 496/7*o = 0. What is o?
-1, 0, 1, 124
Let o(r) = -r**2 - 10*r + 8. Let k be o(-11). Let m be k/(12/(-16)) + -2. Solve -160*s**3 + 4*s**m + 164*s**3 - 7*s - 8*s**2 - s = 0 for s.
-1, 0, 2
Let i(s) be the third derivative of -s**8/672 - s**7/60 + 23*s**6/80 + 9*s**5/40 - 18*s**4 + 108*s**3 + 2998*s**2. Let i(j) = 0. What is j?
-12, -4, 3
Factor -554*u + 1109*u + u**3 - 545*u - 12 + 16*u**2 - 15*u**3.
-2*(u - 1)**2*(7*u + 6)
Let v be 0/(-2)*2/4. Let s be 39*(v + 4/4). Suppose -3 + s*m**2 + 28*m - 15*m - 22*m + 45*m**3 = 0. What is m?
-1, -1/5, 1/3
Let i be -9 + (-12 - (-13 - 8)). Let m(s) be the first derivative of 0*s + 16 + i*s**4 + 0*s**2 + 1/35*s**5 + 0*s**3. Solve m(b) = 0.
0
Let h = 20446072/15 + -1363070. Determine z, given that -h*z - 2/15*z**2 + 52/15 = 0.
-13, 2
Let o(d) = d**3 + 4*d**2 - d - 2. Let q = 63 + -67. Let k be o(q). Determine j, given that -49*j**2 + 5 + 22*j**2 + 22*j**k = 0.
-1, 1
Suppose -2*r - a + 32 = 3*a, -5*r + 32 = -2*a. Suppose 84*t = 80*t + r. Factor 3/2 - 3/4*w**t - 3/4*w.
-3*(w - 1)*(w + 2)/4
Let q(c) be the first derivative of 0*c - 17 + 13/2*c**2 - 2/17*c**3 - 11/204*c**4 - 2/255*c**5. Let n(m) be the second derivative of q(m). Factor n(l).
-2*(l + 2)*(4*l + 3)/17
Determine s so that 573*s - 4634*s**2 - 275