rivative of 0*r**2 + 138 - 1/15*r**6 + 0*r - 12/25*r**5 + 9/10*r**4 + 28/15*r**3. Find i such that w(i) = 0.
-7, -1, 0, 2
Let f be (-105127)/(-1254) + (-9)/2. Factor -1156/9 - f*m - 2/9*m**3 - 8*m**2.
-2*(m + 2)*(m + 17)**2/9
Factor -77*s - 152 + 151/2*s**2 + 1/2*s**3.
(s - 2)*(s + 1)*(s + 152)/2
Let a(d) = 3*d**4 - d**3 + 5*d**2 + 5*d - 2. Let k(u) = -u**4 + 3*u**3 + u**2 - u + 1. Let g(p) = a(p) + 2*k(p). Solve g(c) = 0 for c.
-3, -1, 0
Let v(g) be the third derivative of -g**5/60 - 91*g**4/6 - 16562*g**3/3 - 287*g**2. Determine w, given that v(w) = 0.
-182
Let v(a) = -a**2 + 50*a - 189. Let n be v(46). Let o be 62/18*3 + 35/n. Factor -2/3*f**2 + 8/3*f + o.
-2*(f - 5)*(f + 1)/3
Suppose -3*j + 4 = -j. Let g = 4/16493 - -16485/32986. Factor g - 1/4*s**5 + 1/2*s**3 - 1/2*s**4 + 7/4*s + j*s**2.
-(s - 2)*(s + 1)**4/4
Factor 43444248 - 286414872 - 454*k**2 - k**3 - 31*k**2 - 1387*k**2 - 1168128*k.
-(k + 624)**3
Let d be ((-4)/6)/(-45 - -24). Let q(t) be the second derivative of d*t**7 + 0*t**5 + 0*t**2 - 2/9*t**3 + 0 - 2/9*t**4 + 4/45*t**6 - 10*t. Factor q(x).
4*x*(x - 1)*(x + 1)**3/3
Factor -1111934656/3 - 1036*n**2 + 1/3*n**3 + 1073296*n.
(n - 1036)**3/3
Let c(z) = z**5 - z**4 - z**2 + 1. Let g(s) = -2*s**5 + 29*s**4 + 18*s**3 - 115*s**2 + 75*s - 5. Let l(f) = -5*c(f) - g(f). Factor l(m).
-3*m*(m - 1)**2*(m + 5)**2
Let v(n) = 3*n**3 + 18*n**2 - 6*n + 10. Let b be v(-6). Let r = 604/13 - b. Suppose -2/13*y**2 - r*y + 0 = 0. Calculate y.
-3, 0
Let -650/21*b - 46/3*b**2 + 2/21*b**3 - 326/21 = 0. Calculate b.
-1, 163
Let p = 162623/80 - 32275/16. Factor 9*f**4 - 24/5*f + p*f**3 + 8/5*f**5 + 0 + 28/5*f**2.
f*(f + 2)**3*(8*f - 3)/5
Let f(i) be the second derivative of -3*i**5/140 + 5*i**4 - 174*i. Factor f(y).
-3*y**2*(y - 140)/7
Determine h so that 0*h**2 + 1/6*h**5 + 5/6*h**3 + h**4 + 0*h + 0 = 0.
-5, -1, 0
Let r be (-4 + (5 - 4))*-5. Suppose r*d + 10 = 20*d. Factor -1/2 - 7/6*j - 5/6*j**d - 1/6*j**3.
-(j + 1)**2*(j + 3)/6
Let l(o) be the first derivative of 5/3*o**3 + 120*o**2 + 2880*o + 189. What is k in l(k) = 0?
-24
Let x(m) be the second derivative of m**5/110 + 5*m**4/22 + 74*m**3/33 + 120*m**2/11 + 5544*m. Let x(q) = 0. Calculate q.
-6, -5, -4
Let o = -826587 - -4132939/5. Find h, given that 16/5 + o*h - 2/5*h**2 = 0.
-2, 4
Let x(h) be the first derivative of 0*h**2 + 27/100*h**5 + 2/15*h**3 - 15*h - 2/5*h**4 - 10. Let d(r) be the first derivative of x(r). Factor d(b).
b*(3*b - 2)*(9*b - 2)/5
Let f(d) = 28*d + 584. Let n(w) = -9*w - 194. Let v(c) = -5*f(c) - 16*n(c). Let o be v(-46). Factor 2/7*b**3 - 2/7*b**2 + 0 + o*b.
2*b**2*(b - 1)/7
Let s = 4/2095 + -155042/6285. Let p = s + 379/15. Suppose -p*r + 3/5*r**2 + 1/5 - 1/5*r**3 = 0. Calculate r.
1
Let r(q) be the third derivative of -q**8/1512 - 41*q**7/945 - 13*q**6/90 - 17*q**2 + 121*q + 2. Find f such that r(f) = 0.
-39, -2, 0
Let l(t) be the second derivative of 2*t**7/21 - 34*t**6/5 + 144*t**5 - 1724*t**4/3 - 128*t**3 + 4608*t**2 - t + 4. Let l(i) = 0. Calculate i.
-1, 2, 24
Let k(s) be the third derivative of 5*s**8/336 + 52*s**7/21 + 433*s**6/4 - 1378*s**5/3 + 14045*s**4/24 + 2487*s**2 + s - 1. Factor k(l).
5*l*(l - 1)**2*(l + 53)**2
Suppose 90*b**2 + 873*b**2 - 3*b**3 - 201*b - 1033*b - 680*b = 0. What is b?
0, 2, 319
Let l(m) = 3*m**2 + 3126*m + 2446022. Let i(s) = s**2 - s - 37. Let u(t) = 2*i(t) - l(t). Factor u(v).
-(v + 1564)**2
Let z = 192 + -190. Solve 12*n - 15*n**3 - n**5 + n - 8*n**z + 3*n + 8*n**4 = 0 for n.
-1, 0, 1, 4
Suppose -26 + 28 = n. Find q such that -35*q + 6 - 27*q + 2 + 38*q - 14*q**n = 0.
-2, 2/7
Let j(r) be the third derivative of r**6/900 - 26*r**5/225 - 56*r**4/45 - 667*r**2. Factor j(a).
2*a*(a - 56)*(a + 4)/15
Let u(l) be the third derivative of -3/2*l**4 + 0 - 1/15*l**5 + 24*l**3 - 175*l**2 + 0*l. What is h in u(h) = 0?
-12, 3
Factor -21/5*j**2 - 14/5*j + 24 - 1/5*j**3.
-(j - 2)*(j + 3)*(j + 20)/5
Let g(q) be the first derivative of -5/6*q**6 + 10/3*q**3 - 35/2*q**4 + 75/2*q**2 + 79 - 9*q**5 + 35*q. Factor g(s).
-5*(s - 1)*(s + 1)**3*(s + 7)
Suppose -13*i - 34780 = 34*i. Let s = 742 + i. Determine g, given that -1/2*g**s + 0*g - 5/4*g**3 - 1/4*g**5 + 0 - g**4 = 0.
-2, -1, 0
What is r in 104*r**2 - 3535/2*r - 1225 - 3/2*r**3 = 0?
-2/3, 35
Let p(a) be the second derivative of a**5/12 - 5*a**4/8 - 25*a**3/3 - 151*a**2/2 - 33*a + 4. Let n(u) be the first derivative of p(u). Factor n(x).
5*(x - 5)*(x + 2)
Let m(j) be the first derivative of 6/5*j + 9/20*j**4 - 19 + 7/25*j**5 - 11/5*j**3 + 11/10*j**2. Find r such that m(r) = 0.
-3, -2/7, 1
Let t(m) be the third derivative of m**6/120 + 7*m**5/20 + 11*m**4/4 - 112*m**3/3 + 1950*m**2. Solve t(k) = 0 for k.
-16, -7, 2
Suppose 1346*l - 491 = 1133 + 1068. What is t in 70/3*t + 1225/3 + 1/3*t**l = 0?
-35
Let q(c) be the first derivative of c**4/2 + 5186*c**3/9 + 186912*c**2 + 124416*c + 5016. Let q(h) = 0. What is h?
-432, -1/3
Let g(m) = -1. Let i(c) = 3*c**3 - c**2 - 3*c + 6. Suppose 13 = -5*o - 12. Let y(d) = o*g(d) - i(d). Suppose y(j) = 0. Calculate j.
-1, 1/3, 1
Let o(f) be the second derivative of f**7/84 - 19*f**6/30 - 2*f**5 - f**4/12 + 79*f**3/12 + 10*f**2 - 5*f - 229. Find w such that o(w) = 0.
-1, 1, 40
Factor -2/5*p**3 + 28/5*p**2 + 0 - 96/5*p.
-2*p*(p - 8)*(p - 6)/5
Let y = 211 - 208. Factor -5 - o**y + 9 - 9*o**3 - 72*o - 66*o**2 + 36.
-2*(o + 2)*(o + 5)*(5*o - 2)
Let l(s) = s**2 + 4*s - 3. Let i be l(-5). Let z be 36*(5 - i - 2). Suppose 24*w**2 - 101 + 4*w**3 + z*w + 101 = 0. What is w?
-3, 0
Let t = 1593117 + -1593117. Factor -17/3*q + t + 1/3*q**2.
q*(q - 17)/3
Let a = 163/76 + -378801/176548. Let o = a - -30209/11615. Factor 9/5*j**2 + o*j**3 - 1/5*j - 2/5 + j**4.
(j + 1)**3*(5*j - 2)/5
Let x(v) be the second derivative of v**7/147 + v**6/5 - v**5/70 - v**4/2 - 796*v. Determine p so that x(p) = 0.
-21, -1, 0, 1
Let b be (-39)/(-26) + 19/(-2). Let y be b - 24/(-6) - (1 - 53). Solve 22*g**2 + 3*g**4 - y*g - 3*g**5 + 24*g**3 - 20*g**2 - 26*g**2 + 48 = 0 for g.
-2, 1, 2
Let v(c) be the second derivative of c**6/45 - 7*c**5/15 - 43*c**4/18 + 704*c**3/9 + 484*c**2 - 754*c. Let v(f) = 0. Calculate f.
-6, -2, 11
Let u(g) be the first derivative of 39/2*g**3 - 117/2*g + 3/8*g**4 - 3/4*g**2 - 57. Factor u(i).
3*(i - 1)*(i + 1)*(i + 39)/2
Let y = -1/11942 - -59713/35826. Let v(r) be the first derivative of y*r**3 - 36 - 40*r + 5*r**2. Factor v(t).
5*(t - 2)*(t + 4)
Let r(f) be the second derivative of -3*f**5/20 + 15*f**4/4 + 11*f**3 - 144*f**2 + 183*f + 12. Factor r(m).
-3*(m - 16)*(m - 2)*(m + 3)
Let m(t) = t**3 - 7*t + 16*t**2 - 6*t - 3*t - 5*t - 65. Let r be m(-17). Find a, given that 4/7*a**2 - 4/7*a**r + 0*a + 0 = 0.
0, 1
Let o(u) be the second derivative of -2*u**7/105 + 22*u**6/75 + 89*u**5/25 - 131*u**4/3 - 6512*u**3/15 - 6776*u**2/5 + 14086*u. What is p in o(p) = 0?
-7, -2, 11
Let s(r) be the first derivative of 5*r**4/24 + 10*r**3/9 + 5*r**2/12 - 5*r + 3295. Let s(c) = 0. Calculate c.
-3, -2, 1
Let y(f) be the first derivative of -4/3*f**3 + 4*f - 1/12*f**4 + 1/6*f**2 + 51. Find u such that y(u) = 0.
-12, -1, 1
Let y(w) be the first derivative of w**6/780 - 2*w**5/195 + 3*w**2 - 11*w + 111. Let l(c) be the second derivative of y(c). Factor l(a).
2*a**2*(a - 4)/13
Suppose -210 + 338 = 64*f. Let z(g) be the first derivative of -5*g + 50/3*g**3 + 4 + 15/2*g**f. Factor z(u).
5*(2*u + 1)*(5*u - 1)
Let m(u) be the second derivative of -u**7/210 + 23*u**6/15 - 9003*u**5/50 + 8460*u**4 - 147375*u**3/2 + 253125*u**2 + u + 528. Find w such that m(w) = 0.
2, 3, 75
Suppose o = -y + 108, 120 = 2*o - o - 5*y. Find c, given that -2*c**3 - 54 - 15*c**2 - c**2 - 63*c**2 + 21*c**2 - o*c = 0.
-27, -1
Let q(y) be the third derivative of y**5/60 + 95*y**4/24 - 250*y**3/3 - 2*y**2 - 39*y - 11. Let q(j) = 0. Calculate j.
-100, 5
Let a(x) be the first derivative of x**6/10 + 12*x**5/25 + 3*x**4/4 + 2*x**3/5 - 1070. Determine t so that a(t) = 0.
-2, -1, 0
Let t(m) = 3*m**3 + 614*m**2 - 6673*m + 17500. Let g(q) = 2*q**3 + 306*q**2 - 3342*q + 8750. Let j(f) = -7*g(f) + 3*t(f). Factor j(w).
-5*(w - 5)**2*(w + 70)
Let v(m) be the first derivative of 0*m + 0*m**2 + 1/2*m**6 - 22 + 3/5*m**5 - 4*m**3 - 3*m**4. Factor v(l).
3*l**2*(l - 2)*(l + 1)*(l + 2)
Factor 0*l**2 + 1102500 - 25*l**2 + 29*l**2 + 4200*l.
4*(l + 525)**2
Let