rd derivative of -j**5/40 - 177*j**4/4 - 31329*j**3 + 1698*j**2. Find a, given that m(a) = 0.
-354
Suppose -534 = -3*p + 5*s - 499, -s = 2*p + 7. Let c(h) be the second derivative of -1/4*h**5 + 0*h**4 + p*h**3 + 1/6*h**6 + 0 - 25*h + 0*h**2. Factor c(f).
5*f**3*(f - 1)
Let p(u) be the first derivative of 5*u**6/2 - 7*u**5 - 295*u**4/4 - 265*u**3/3 + 140*u**2 + 300*u - 3823. Suppose p(w) = 0. What is w?
-2, -5/3, -1, 1, 6
Suppose -5*q - 34 = -4*a - 175, -a - 24 = -5*q. Let d = a + 79. Factor -36 - 40*w**4 - 62*w**4 - d*w**4 - 376*w**2 - 192*w + 42*w**4 - 320*w**3.
-4*(w + 1)**2*(5*w + 3)**2
Let k be 4*1/1 - (8 - 6). Factor 521*q**k + q - q - 522*q**2 + q**4.
q**2*(q - 1)*(q + 1)
Let b be 0*-1*5/15. Let a(v) = b + 4 + 2*v - 3*v**2 - 4. Let x(c) = 13*c**2 - 7*c. Let r(l) = 9*a(l) + 2*x(l). Determine u so that r(u) = 0.
0, 4
Let y(i) = 202*i + 620. Let s be y(-3). Let v(l) be the first derivative of s + 5/3*l - 25/12*l**2 + 10/9*l**3 - 5/24*l**4. Factor v(m).
-5*(m - 2)*(m - 1)**2/6
Let s(c) be the first derivative of -5*c**4/4 - 35*c**3/3 - 5*c**2 + 200*c - 586. Factor s(w).
-5*(w - 2)*(w + 4)*(w + 5)
Let n(t) be the first derivative of -t**6/180 + t**5/30 - t**4/12 - 43*t**3/3 + 70. Let p(r) be the third derivative of n(r). Solve p(w) = 0.
1
Suppose -5*q = -4*k + 106, 3*k - 2*q - 76 = -0*q. Suppose -192*u + 188*u = -k. Factor 0 + 15/2*p**3 + 12*p**2 + u*p + 3/2*p**4.
3*p*(p + 1)*(p + 2)**2/2
Let h(c) = -4*c**3 + c**2 - 14*c - 1. Let k(w) = 3*w + w**3 - 2*w**2 - 10*w**2 + 12*w**2. Let v(a) = 2*h(a) + 9*k(a). Factor v(t).
(t - 1)*(t + 1)*(t + 2)
Let l(m) be the first derivative of -12 - m**3 - 2*m**2 - 3/8*m**4 + 0*m - 1/20*m**5. Let a(b) be the second derivative of l(b). Factor a(f).
-3*(f + 1)*(f + 2)
Let k(n) be the first derivative of -n**4/4 + 8*n**3/3 - 10*n**2 + 16*n + 373. Factor k(l).
-(l - 4)*(l - 2)**2
Let o = -3212034 - -3212037. Let t = 7 - 5. Suppose 9/4*y**t - 3/2*y**o + 0 - y + 1/4*y**4 = 0. Calculate y.
0, 1, 4
Let q(s) be the first derivative of -4*s**3/3 + 790*s**2 - 1576*s + 980. What is g in q(g) = 0?
1, 394
Let g(y) be the third derivative of y**5/150 - 11*y**4/60 + 10*y**2. Factor g(v).
2*v*(v - 11)/5
Let b(u) be the second derivative of 1/40*u**4 + 0 - 24*u + 0*u**5 + 0*u**2 - 1/600*u**6 - 4*u**3. Let y(i) be the second derivative of b(i). Factor y(q).
-3*(q - 1)*(q + 1)/5
Find v such that 3136/9 + 2/9*v**3 - 12*v**2 + 448/3*v = 0.
-2, 28
Let l(i) be the second derivative of i**4/28 - 3*i**3/2 - 243*i**2/7 + 137*i. Factor l(w).
3*(w - 27)*(w + 6)/7
Let v(l) be the first derivative of -l**6/18 + 28*l**5/5 - 147*l**4 - 1322. Let v(j) = 0. Calculate j.
0, 42
Solve -80*r - 28 - 66*r**2 - 4 + 291*r**4 - 20*r**3 + 319*r**4 - 612*r**4 = 0.
-4, -1
Let p(f) be the second derivative of 242*f**6/45 + 44*f**5/15 - 13*f**4 - 88*f**3/9 - 8*f**2/3 - 4818*f. Let p(j) = 0. Calculate j.
-1, -2/11, 1
Find o, given that 0 - 4/3*o**5 - 98/3*o**3 + 40/3*o**2 + 0*o + 38/3*o**4 = 0.
0, 1/2, 4, 5
Suppose -4*g - 3*h - 6 = -5, 2*g - 5*h - 19 = 0. Let y be 3/4 - (-2451)/12. Factor 0 + 206*l**4 + 2*l + 3 - 4*l**2 - y*l**4 - g*l**3.
(l - 3)*(l - 1)*(l + 1)**2
Let c(z) be the second derivative of -z**4/12 + z**3/6 + 6*z**2 + 202*z. Let x be c(-3). Let -2/9*g**3 + x + 0*g - 4/9*g**2 = 0. Calculate g.
-2, 0
Let t(p) be the first derivative of -2*p**5/55 - 153*p**4/11 - 16006*p**3/11 - 91204*p**2/11 - 5918. Factor t(k).
-2*k*(k + 4)*(k + 151)**2/11
Let x(o) be the second derivative of 1/40*o**5 + 1 - 52*o + 25/4*o**2 + 11/24*o**4 + 35/12*o**3. Find b, given that x(b) = 0.
-5, -1
What is j in -28 + 22/3*j + 2/3*j**2 = 0?
-14, 3
Determine q so that 3/5*q**2 - q**3 + 1/5*q**5 + 0 + 4/5*q - 3/5*q**4 = 0.
-1, 0, 1, 4
Let b = -9062/273 - -794/21. Factor 18/13*c**3 + b*c**2 + 48/13 + 2/13*c**4 + 88/13*c.
2*(c + 2)**3*(c + 3)/13
Let w = -39965 - -119975/3. Factor w - 4*g - 2/3*g**2.
-2*(g - 4)*(g + 10)/3
Let w(p) be the third derivative of 1/4*p**5 + 0*p + 0 + 2*p**3 + p**4 - 48*p**2 + 1/40*p**6. What is a in w(a) = 0?
-2, -1
Factor -4*y**4 - 218*y - 15277*y**3 - 15210*y**3 - 48*y**2 + 30563*y**3 - 214*y.
-4*y*(y - 18)*(y - 3)*(y + 2)
Let p(y) be the third derivative of y**7/42 + 5*y**6/12 - 13*y**5/4 - 2*y**2 - 76*y. Find s such that p(s) = 0.
-13, 0, 3
Let h be (-10)/6*(10/5 - 16/5). Let y(u) be the third derivative of 7/12*u**5 - 5/8*u**6 - 5/24*u**4 - 25*u**h + 0*u**3 + 3/14*u**7 + 0 + 0*u. Factor y(w).
5*w*(w - 1)*(3*w - 1)**2
Let d(y) be the first derivative of y**4/2 - 170*y**3/3 + 167*y**2 - 166*y - 1116. Suppose d(l) = 0. Calculate l.
1, 83
Let m(l) be the second derivative of l**4/108 - 1591*l**3/27 + 2531281*l**2/18 - 78*l - 13. Factor m(v).
(v - 1591)**2/9
Suppose 33*c + 526 + 2 = 0. Let x(i) = i**3 + 16*i**2 - 9*i - 144. Let y be x(c). Solve 1/2*u**3 + y + 0*u + 1/4*u**4 + 0*u**2 = 0 for u.
-2, 0
Let j be (10/(-17))/(-5) + 155/(-2040). Let o(u) be the first derivative of -u - 13/12*u**2 + 11 - 4/9*u**3 - j*u**4. Factor o(g).
-(g + 1)**2*(g + 6)/6
Suppose -5*t + 560 = 540. Find m such that 23*m**2 + 931*m**2 + 90 - 42*m**2 + 15*m**5 - 489*m - 702*m**3 + 174*m**t = 0.
-15, 2/5, 1
Factor 26 + 120*v**4 + 3*v**3 - 168*v - v**3 - 122*v**4 + 52*v**2 + 118.
-2*(v - 3)*(v - 2)**2*(v + 6)
Let p = 2245912/107965 - 48/21593. Factor 1352/5 + 2/5*g**2 - p*g.
2*(g - 26)**2/5
Determine h, given that 116564644809/2 - 103245921/2*h - 3/2*h**3 + 30483/2*h**2 = 0.
3387
Let a(c) be the third derivative of -c**10/30240 + c**8/3360 - c**6/720 - 5*c**4/24 - 17*c**2 - 2*c. Let v(k) be the second derivative of a(k). Factor v(j).
-j*(j - 1)**2*(j + 1)**2
Factor 24*n**2 - 97 + 25 - n**4 + 24 - 2*n**4.
-3*(n - 2)**2*(n + 2)**2
Factor 134*p**2 + 48*p - 22*p - 21*p - 14*p**3 - 143*p**2.
-p*(p + 1)*(14*p - 5)
Solve -117*p + 67 - 20045*p**3 + 20042*p**3 + 33*p**2 + 68 = 0.
3, 5
Let j(p) be the first derivative of 0*p + p**2 - 10 + 8/15*p**3 - 1/10*p**4. Factor j(b).
-2*b*(b - 5)*(b + 1)/5
Let d(m) be the third derivative of m**8/1344 + 15*m**7/56 - 227*m**6/240 + m**5/120 + 151*m**4/32 - 227*m**3/24 - 4443*m**2. Factor d(w).
(w - 1)**3*(w + 1)*(w + 227)/4
Let a(c) = -19 - 18*c - 2 + 110*c**2 - 113*c**2. Let k(d) = -d + 1. Let o(w) = -a(w) - 3*k(w). Solve o(z) = 0 for z.
-6, -1
Let c(q) be the third derivative of 0 - 236*q**2 + 0*q + 0*q**5 - 7/12*q**4 + 1/60*q**6 + 2*q**3. Let c(p) = 0. What is p?
-3, 1, 2
Solve 6*b**4 + 305*b**3 - 5*b**4 - 655*b**3 = 0 for b.
0, 350
Let r = -183 - -186. Determine g so that -100683*g**2 - 243*g + 100683*g**2 - r*g**5 + 54*g**3 = 0.
-3, 0, 3
Let h(m) be the second derivative of -7*m**5/15 - 1493*m**4/9 - 284*m**3/3 - 586*m - 1. Factor h(g).
-4*g*(g + 213)*(7*g + 2)/3
Factor -1/5*j**5 + 0 + 0*j - 6237/5*j**3 - 13122/5*j**2 + 32*j**4.
-j**2*(j - 81)**2*(j + 2)/5
Suppose -13 = -6*s + 11. Suppose -o + 15 = s*o. What is v in -o*v - 16*v**2 + 4*v**5 + 16*v**4 - 8*v + 8*v**3 - v = 0?
-3, -1, 0, 1
Let j(k) be the third derivative of k**5/150 + 43*k**4/30 - 16*k**2 + 53*k. Suppose j(q) = 0. What is q?
-86, 0
Let p(m) = -42*m**3 - 60*m**2 + 15*m - 6. Let j(f) = 45*f**3 + 60*f**2 - 16*f + 8. Let y(z) = 3*j(z) + 4*p(z). Factor y(b).
-3*b*(b + 2)*(11*b - 2)
Suppose -249*q = -40743 + 40245. Factor -9/5*s**q + 12/5*s - 3/5.
-3*(s - 1)*(3*s - 1)/5
Let -252*s**2 + 202*s**4 - 75*s**3 - 32*s - 445*s**3 + 27*s**5 - 349*s**4 = 0. Calculate s.
-2, -1/3, -2/9, 0, 8
Suppose 10*v + 14*v = 72. Determine j so that -3*j**3 + 13*j**2 + 2*j**v - 2*j**2 - 14*j**2 + 4 = 0.
-2, 1
Let d be 561/(-24) - -23 - (-27)/8. Let p(f) be the first derivative of -13 + 1/3*f**d - 5/2*f**2 + 6*f. Factor p(i).
(i - 3)*(i - 2)
Let n(p) be the second derivative of -1/12*p**4 + 13*p + 1/2*p**2 + 0*p**3 + 2. Determine g, given that n(g) = 0.
-1, 1
Let c(s) = s**2 - 5*s - 5. Let t be c(-2). Suppose 4*n - t*n + 10 = 0. Factor -4*y**5 + 2*y**4 + 0*y**2 + 5*y**5 - y**3 - 2*y**n.
y**2*(y - 1)*(y + 1)*(y + 2)
Factor 130*d**2 + 1507*d**2 + 373*d**2 + 96*d**3 + 759*d - 18*d**4 - 8951*d - 131072 + 934*d**2.
-2*(d + 8)**2*(3*d - 32)**2
Let s(n) be the first derivative of -n**4/4 - 11*n**3/2 - 27*n**2 + 159*n - 97. Let o(z) be the first derivative of s(z). Factor o(t).
-3*(t + 2)*(t + 9)
Let y(s) be the first derivative of s**6/18 - 37*s**5/15 + 35*s**4/12 + 37*s**3/9 - 6*s**2 + 3583. Solve y(k) = 0.
-1, 0, 