erivative of b(p). Solve s(v) = 0.
-1/46, 1
Let g(r) be the first derivative of -131*r**3/6 + 263*r**2/2 - 4*r + 1356. Factor g(z).
-(z - 4)*(131*z - 2)/2
Let v(h) = -h**3 + 2*h + 2. Let r be v(0). Factor -3481 + 60*o + 3481 - r*o**2.
-2*o*(o - 30)
Suppose -2125*s = -2142*s + 51. Let b(c) be the first derivative of 0*c + 0*c**2 + 3/4*c**4 - 22 - c**s. Solve b(r) = 0 for r.
0, 1
Let s be 1/(-6) + 516/72. Find z such that 12*z**5 + 70*z**2 - 125 - s*z**5 - 37*z**3 + 152*z**3 + 55*z**3 - 175*z + 55*z**4 = 0.
-5, -1, 1
Let s(l) be the first derivative of 10*l**6/3 + 1157*l**5/35 + 123*l**4/14 - 56*l**3/3 + 32*l**2/7 - 4608. Let s(q) = 0. Calculate q.
-8, -4/5, 0, 1/4, 2/7
Let x(s) be the third derivative of -s**7/560 - 37*s**6/320 - 77*s**5/80 + 3*s**4 + 2*s**2 + 438*s + 4. Find c, given that x(c) = 0.
-32, -6, 0, 1
Let t(i) = -i**2 + i. Let a(p) = 21*p. Let g(x) = -a(x) + 4*t(x). Let q(m) = -4*m**2 - 18*m. Let b(w) = 2*g(w) - 3*q(w). Determine l so that b(l) = 0.
-5, 0
Let w(z) be the second derivative of z**6/150 + 67*z**5/25 + 6161*z**4/20 + 11748*z**3/5 + 26136*z**2/5 - z + 1747. Factor w(m).
(m + 1)*(m + 3)*(m + 132)**2/5
Let d(j) be the third derivative of j**8/560 + 8*j**7/175 + 3*j**6/10 + j**5/2 - 61*j**4/40 - 33*j**3/5 + j**2 - j + 1979. Suppose d(g) = 0. Calculate g.
-11, -3, -2, -1, 1
Suppose -p + 37*p - 16*p = 0. Let t(u) be the second derivative of 0 + p*u**2 - 8*u + 2/15*u**4 + 0*u**3 - 1/50*u**5. Factor t(g).
-2*g**2*(g - 4)/5
Let g(w) be the third derivative of -2401*w**5/150 + 49*w**4/3 - 20*w**3/3 + 174*w**2 - 3*w. Solve g(x) = 0.
10/49
Let c(p) be the second derivative of -p**5/5 + 4*p**4 - 24*p**3 + 5*p + 49. Solve c(r) = 0.
0, 6
Let g(r) be the second derivative of r**6/6 + 247*r**5/2 + 2465*r**4/12 - 4250*r. Find k, given that g(k) = 0.
-493, -1, 0
Suppose 1492*t - 1485*t = -2*h + 61, -4*t = -5*h + 131. Factor 3/4*j**2 - h*j + 0.
3*j*(j - 36)/4
Let b(n) be the third derivative of -n**8/560 + 11*n**7/280 - n**6/12 + 32*n**3/3 - 63*n**2. Let x(f) be the first derivative of b(f). Factor x(m).
-3*m**2*(m - 10)*(m - 1)
Let k(w) be the second derivative of -w**5/210 - 19*w**4/84 - 29*w**2 + 51*w - 1. Let o(v) be the first derivative of k(v). Solve o(j) = 0 for j.
-19, 0
Let j(l) be the third derivative of 2*l - 2/5*l**6 + 8/35*l**7 + 34*l**2 + 3*l**3 + 3/112*l**8 + 13/8*l**4 + 0 - 11/10*l**5. What is a in j(a) = 0?
-6, -1, -1/3, 1
Let n(i) = -5*i - 15. Let g be n(-7). Find h such that 20*h**3 - 15*h**2 - 5*h**4 - 444 - g*h + 919 - 455 = 0.
-1, 1, 2
Let a(f) = 9*f**2 - 667*f - 600. Let b be a(75). Factor x**2 - x**4 + 0*x + b + 1/3*x**5 - 1/3*x**3.
x**2*(x - 3)*(x - 1)*(x + 1)/3
Let y(a) = -a**3 + 972*a**2 - 23040*a + 121096. Let r(d) = -d**3 + 1296*d**2 - 30720*d + 161464. Let g(z) = 13*r(z) - 17*y(z). Determine b, given that g(b) = 0.
-101, 10
Let n = 227863 + -227860. Find t such that 4/5*t**5 - 12/5*t**n - 32/5*t**4 + 88/5*t**2 + 64/5*t + 0 = 0.
-1, 0, 2, 8
Let o(f) be the first derivative of f**6/135 - 7*f**5/45 + 13*f**4/54 - 84*f - 145. Let l(k) be the first derivative of o(k). Let l(z) = 0. Calculate z.
0, 1, 13
Determine j, given that -4 + 197/7*j - j**2 = 0.
1/7, 28
Let l = -98427 + 98429. Suppose 0 - 1/4*x**l - 1/4*x**4 - x**3 + 3/2*x = 0. What is x?
-3, -2, 0, 1
Let k = -405561 + 2027807/5. Factor k*b**2 + 2*b + 12/5.
2*(b + 2)*(b + 3)/5
Let q be 16/7 + (-380)/1330. Determine t so that 0*t + 4/7*t**5 - 4/7*t**4 + 0 + 0*t**3 + 0*t**q = 0.
0, 1
Let m(r) be the third derivative of -r**5/12 + 25*r**4/8 - 35*r**3/3 + 3788*r**2. Factor m(t).
-5*(t - 14)*(t - 1)
Let i(x) be the third derivative of 5*x**3 + 0*x - 6 + 5/24*x**4 - 1/6*x**6 - 3/4*x**5 - 3*x**2. Find a, given that i(a) = 0.
-2, -1, 3/4
Let d be (6/(-20) - 33914/(-5580) - 6)/(-2). Factor -d*m**2 - 20/9 - 16/9*m + 1/9*m**3.
(m - 5)*(m + 2)**2/9
Let b(t) be the first derivative of 7/2*t**2 + 1/2*t**4 + 6*t + 163 - 3*t**3. Factor b(z).
(z - 3)*(z - 2)*(2*z + 1)
Let w(k) be the third derivative of 11/6*k**4 + 1/60*k**5 + 197*k**2 + 43/6*k**3 + 0 + 0*k. Find y, given that w(y) = 0.
-43, -1
Let y be (-90 - -10)*(27/(-6) - -3). Let z = -118 + y. Find j such that 0 - 2/3*j - 1/3*j**z = 0.
-2, 0
Let r(m) be the third derivative of -m**5/20 - 7*m**4/2 - 26*m**3 + 207*m**2 + 3. Factor r(c).
-3*(c + 2)*(c + 26)
Determine n so that -860 - 845*n**3 + 481*n**2 - 247*n**2 + 380*n**2 + 51*n**2 + 840*n + 55*n**4 + 5*n**5 + 140*n**4 = 0.
-43, -1, 1, 2
Let a(y) be the first derivative of -y**5/100 - 13*y**4/20 + 27*y**3/10 - 12*y**2 + 2*y - 140. Let b(g) be the second derivative of a(g). Factor b(z).
-3*(z - 1)*(z + 27)/5
Let j(g) be the second derivative of -1/20*g**5 + 1/10*g**4 + 2/15*g**3 - 93 - 4/5*g**2 - 2*g + 1/150*g**6. Determine y, given that j(y) = 0.
-1, 2
Let s(h) be the third derivative of -h**9/22680 + h**8/7560 - h**7/11340 + 49*h**4/8 + 12*h**2 + 1. Let w(m) be the second derivative of s(m). Factor w(v).
-2*v**2*(v - 1)*(3*v - 1)/9
Suppose -4*j = -1 - 55. Let i be ((-8)/j)/((-2)/7). Factor -5*t + t**i - 7 - 5*t + 4*t.
(t - 7)*(t + 1)
Let x = -1445 + 1249. Let d be 1/(-7) - (-14)/x*-2. Factor d - 1/6*f**2 - 1/6*f.
-f*(f + 1)/6
Let n(x) be the first derivative of 1/6*x**6 + 0*x**2 - 1/4*x**5 - 2*x + 5/6*x**3 - 5/12*x**4 - 15. Let d(m) be the first derivative of n(m). Factor d(g).
5*g*(g - 1)**2*(g + 1)
Suppose 114*l - 112*l = -1340. Let v = 1341/2 + l. Let 1/2*z**4 - v*z**2 - z**3 + z + 0 = 0. Calculate z.
-1, 0, 1, 2
Let b be 152/475 - ((-12)/(-4) - 7). Let i = b + -988/275. Factor -26/11*g**2 - 2/11*g**4 - i - 12/11*g**3 - 24/11*g.
-2*(g + 1)**2*(g + 2)**2/11
Let b be ((-1 - -3)/(105/21))/(318/905982265). Factor 3698*q**2 + 318028/3*q + 1/3*q**4 + 172/3*q**3 + b.
(q + 43)**4/3
Let m be (-10)/(40/(-702))*(-10)/(-15). Suppose -12*l + m - 93 = 0. Factor -2/9 - 1/9*u**3 + 1/9*u + 2/9*u**l.
-(u - 2)*(u - 1)*(u + 1)/9
Find l, given that 44/7*l + 0 - 45/7*l**2 + 1/7*l**3 = 0.
0, 1, 44
Let j = -75 + 84. Let u be 2601/27 - (-1 - (-12)/j). Factor -1090 - u*t**2 - t**5 - 12*t**4 - 64*t + 1090 - 52*t**3.
-t*(t + 2)**2*(t + 4)**2
Let u(g) be the second derivative of -g**4/18 - 5*g**3/3 - 14*g**2/3 - 8885*g. Factor u(v).
-2*(v + 1)*(v + 14)/3
Let w = 509 + -437. Solve -2*a**3 + 65*a**2 - 11*a**2 - 24*a**4 + 156*a + 26*a**2 - 4*a**5 - 3*a**3 - 19*a**3 + w = 0.
-3, -1, 2
Let o(t) be the first derivative of -3/5*t**5 - 8 + 6*t**3 - 9/4*t**4 + 0*t + 12*t**2. Solve o(v) = 0 for v.
-4, -1, 0, 2
Factor -160 + 2/3*g**2 - 2/3*g.
2*(g - 16)*(g + 15)/3
Let s(q) be the second derivative of q**5/140 - 393*q**4/28 + 154449*q**3/14 - 60698457*q**2/14 - 145*q - 2. Suppose s(r) = 0. What is r?
393
Let n(c) = 5*c**2 - 2*c - 1. Let f be 2/20 - 24/80*-3. Let z be n(f). Solve 1/3 - 4/3*o**3 + 3*o**2 - z*o = 0.
1/4, 1
Let b(z) be the first derivative of 3*z**5/160 + 3*z**4/32 - 3*z**3/8 - 3*z**2/2 + 12*z - 39. Let x(i) be the first derivative of b(i). Factor x(p).
3*(p - 2)*(p + 1)*(p + 4)/8
Let t(a) be the first derivative of -a**3/9 + 227*a**2 - 154587*a + 28. Let t(s) = 0. Calculate s.
681
Suppose 3*h = -3*z - 1580 - 1003, -z - 853 = -3*h. Let x = 4303/5 + z. Factor 4/5*o**3 - 16/5*o**2 + 4*o - x.
4*(o - 2)*(o - 1)**2/5
Let l(b) be the second derivative of b**3/3 + 6*b**2 + 2*b. Let y be l(-5). Find m such that -m**3 + 4*m**2 + 4*m - m**3 - y*m - 4 = 0.
-1, 1, 2
Let q = -1/72401 + 217205/144802. Let x = 101 + -401/4. Suppose -3/2*m**3 + 0 + x*m**4 - 3/4*m**2 + q*m = 0. What is m?
-1, 0, 1, 2
Let i(o) = -2*o + 30. Let d be i(14). Suppose 2*x = 4*v + 10 + 2, 0 = d*x + 4*v - 4. Solve 1/3*c**3 + 0*c + 1/6*c**2 + 1/6*c**x + 0 = 0.
-1, 0
Let s(t) = 4*t**2 + 18*t - 3. Let d(q) = q**2 - q - 1. Suppose 2*c + 3*l + 3 = 0, -4*c + 3*c - 2 = l. Let p(w) = c*d(w) + s(w). Let p(k) = 0. Calculate k.
-21, 0
Suppose 4*q + 885*p - 16 = 889*p, 5*q + 4*p = 2. Let d(c) be the second derivative of 0 - 1/54*c**4 - 1/18*c**3 + 0*c**q - 21*c + 1/180*c**5. Factor d(m).
m*(m - 3)*(m + 1)/9
Suppose 7*d = -79*d + 18277 - 4087. Let i(y) be the first derivative of 45*y - d*y**2 - 19 + 605/3*y**3. Factor i(c).
5*(11*c - 3)**2
Let o(p) = -3*p**2 - 58*p - 25. Let a be o(-19). Let z(k) = 12*k + 72. Let l be z(a). Factor l + 75/4*w**4 + 3*w - 12*w**2 + 15/4*w**3.
3*w*(w + 1)*(5*w - 2)**2/4
Find j such that -741035952 - 2241*j**2 + 3/