st derivative of 47 - 54*t + 9*t**2 - 3/4*t**4 - 3/10*t**5 + 11/2*t**3. Suppose n(f) = 0. Calculate f.
-3, 2
Let f = 11648 - 11648. Let s(u) = -u**2 - 7*u + 11. Let g be s(-8). Factor 0*d**g + 1/10*d - 1/10*d**5 - 1/5*d**2 + f + 1/5*d**4.
-d*(d - 1)**3*(d + 1)/10
Let b(m) be the first derivative of m**5/2 + 35*m**4/12 + 10*m**3/3 - 10*m**2 + m + 9. Let q(o) be the first derivative of b(o). Factor q(t).
5*(t + 2)**2*(2*t - 1)
Suppose 24*k + 6 = 18*k. Let y be k + 1 + 0/4. Factor 3/5 + y*d**2 + 6/5*d**3 - 3/5*d**4 - 6/5*d.
-3*(d - 1)**3*(d + 1)/5
Let s(d) be the second derivative of 1/2*d**2 + 0 - 1/25*d**5 + 1/8*d**4 - 5*d - 1/10*d**3. Let y(j) be the first derivative of s(j). Solve y(q) = 0.
1/4, 1
Let l be ((-14)/8 - (-9)/(-36))*-8. Let y be -12*(-1 + l/18). Find c, given that 0 - 14/3*c**3 + 4/3*c**2 + 0*c + 14/3*c**5 - y*c**4 = 0.
-1, 0, 2/7, 1
Let k(n) be the first derivative of n**3/3 + 52*n**2 + 103*n - 39. Solve k(r) = 0 for r.
-103, -1
Let t be 4/(-26) - (17652/(-6578) + 2). Let y = t + -8/23. Determine b so that 0*b**2 + 0*b + 0 + 12/11*b**4 - 18/11*b**3 - y*b**5 = 0.
0, 3
Let l(w) be the first derivative of -17 - 1/3*w**3 + 0*w - 1/6*w**6 + 1/5*w**5 + 0*w**2 + 1/4*w**4. Factor l(i).
-i**2*(i - 1)**2*(i + 1)
Let g(y) be the second derivative of y**7/84 - y**6/10 + 13*y**5/40 - y**4/2 + y**3/3 - 7*y - 2. Factor g(q).
q*(q - 2)**2*(q - 1)**2/2
Let t(f) be the first derivative of -4*f**3/3 + 8*f**2 - 4. Factor t(g).
-4*g*(g - 4)
Let c(m) be the second derivative of 2*m**6/15 - 2*m**5/5 - m**4/3 + 4*m**3/3 + 28*m + 1. Find p, given that c(p) = 0.
-1, 0, 1, 2
Factor 225*z**4 - 8*z**3 - 222*z**4 + 0*z**2 - 36*z - 66*z**2 - 3*z**3 + 56.
(z - 7)*(z + 2)**2*(3*z - 2)
Suppose -6*d + 18*d = 24. Let 15*h - 11*h + 6*h**3 - 10*h**2 + h**d - h**4 = 0. Calculate h.
0, 1, 4
Let m(d) be the second derivative of d**7/315 - 2*d**6/225 - d**5/75 + 4*d**4/45 - 7*d**3/45 + 2*d**2/15 + 2*d - 14. Find j, given that m(j) = 0.
-2, 1
Let h(l) = 5*l**3 - l**2 + 3*l - 2. Let f be h(1). Suppose f*n - 18 = -n. Determine d, given that -4*d**2 - d**2 - 4*d + 12*d - 4 - 3*d**n + 4*d**3 = 0.
1, 2
Let f(h) = 4*h**2 - h - 9. Let o(m) = -m - 6. Let x be o(8). Let u = -20 - x. Let i(s) = -5*s**2 + 9. Let w(l) = u*f(l) - 5*i(l). Factor w(r).
(r + 3)**2
Factor 60 + h - 4*h - 4*h - 9*h + 5*h**2 - 19*h.
5*(h - 4)*(h - 3)
Let k(a) be the first derivative of 1 - 9/2*a - 1/2*a**3 + 3*a**2. Factor k(s).
-3*(s - 3)*(s - 1)/2
Suppose -4*t + 3*x + 47 = 32, 0 = -t + 2*x + 5. Factor -9/2*k**2 - 1/2 + t*k.
-(3*k - 1)**2/2
Let b be (1980/42)/(-15) + 4. Factor 16/7*g - b*g**2 - 4/7*g**3 - 8/7 + 2/7*g**4.
2*(g - 2)*(g - 1)**2*(g + 2)/7
Factor -10 + 2/3*s**2 - 4/3*s.
2*(s - 5)*(s + 3)/3
Let j(n) be the third derivative of n**8/1008 - 11*n**7/210 - n**6/180 + 11*n**5/30 + n**4/72 - 11*n**3/6 + 338*n**2. Find s such that j(s) = 0.
-1, 1, 33
Let j(i) be the second derivative of -i**4/4 + 13*i**3 - 75*i**2/2 - 26*i. Factor j(x).
-3*(x - 25)*(x - 1)
Let q = 3527 - 17628/5. Factor 2/5*k - q*k**2 + 0.
-k*(7*k - 2)/5
Let b(k) = 3*k**3 - 5*k**2 + 2*k + 2. Let g(a) be the first derivative of -a**4/4 + a**2/2 + a - 4. Let y(q) = b(q) - 2*g(q). What is n in y(n) = 0?
0, 1
Suppose 2*j - 6*x + 2*x = 18, -2*j = 5*x + 9. Factor -j*c**4 + c**3 - 8*c**2 - 13*c**3 - c**4.
-4*c**2*(c + 1)*(c + 2)
Let a be 11/(-22)*(1 - 0 - 1). Solve -3/2*t**2 + 0*t + 0 + a*t**3 + 3/2*t**4 = 0.
-1, 0, 1
Let o(f) be the third derivative of -f**7/105 - f**6/10 + 5*f**5/6 - 3*f**4/2 + 2*f**2 - 5*f. Determine q, given that o(q) = 0.
-9, 0, 1, 2
Let d be 216/48*(-1 - 6/(-2)). Suppose -3 - d*r**4 + 57/2*r**3 - 33*r**2 + 33/2*r = 0. What is r?
1/2, 2/3, 1
Let h(u) be the first derivative of -u**6/600 + 3*u**5/50 - 9*u**4/10 - 9*u**3 - 15. Let s(m) be the third derivative of h(m). Determine b, given that s(b) = 0.
6
Let b be (78/936)/((-15)/(-40)). Find i such that 0*i**2 + 0*i + 0 - 14/9*i**4 + b*i**5 + 4/3*i**3 = 0.
0, 1, 6
Let m(o) be the first derivative of -o**4/28 - 8*o**3/21 + o**2/14 + 8*o/7 + 8. Factor m(c).
-(c - 1)*(c + 1)*(c + 8)/7
Let v(n) = 4*n**2 - 41*n - 11. Let z(g) = -g**2 + 14*g + 4. Suppose -3*s = s + 44. Let y(p) = s*z(p) - 4*v(p). Factor y(l).
-5*l*(l - 2)
Suppose -5*i - 4*w + 19 + 5 = 0, 0 = 2*w - 2. Let h(v) be the first derivative of v**2 + 12 - v**3 + 0*v + 1/4*v**i. Suppose h(f) = 0. Calculate f.
0, 1, 2
Let k(o) be the first derivative of -o**4/42 + o**3/21 + 2*o**2/7 - 12*o - 5. Let r(i) be the first derivative of k(i). Factor r(l).
-2*(l - 2)*(l + 1)/7
Let o = -44/27107 + -27046934/3605231. Let u = -110/19 - o. Factor 0*y - u*y**4 + 4/7*y**3 + 0 + 8/7*y**2.
-4*y**2*(y - 1)*(3*y + 2)/7
Let p(l) be the first derivative of -l**3/9 + 16*l**2 - 768*l + 198. Find t, given that p(t) = 0.
48
Let z be 6/(-240)*8 + (-38)/(-90). Factor 2/9*l**2 + 2/3 + z*l**3 - 10/9*l.
2*(l - 1)**2*(l + 3)/9
Let m be (-345)/(-138) + (-5)/2. Factor m + 1/3*p**4 - 1/3*p**2 - 1/3*p**5 + 1/3*p**3 + 0*p.
-p**2*(p - 1)**2*(p + 1)/3
Let m = -1172 + 1175. Determine u, given that -2/9*u**4 - 2*u**2 - 4/9 - 14/9*u - 10/9*u**m = 0.
-2, -1
Let o(h) be the second derivative of -h**6/10 + 27*h**5/20 - 7*h**4/4 - 9*h**3/2 + 12*h**2 - 203*h. Factor o(g).
-3*(g - 8)*(g - 1)**2*(g + 1)
Find h, given that 0*h + 3*h**4 - 3/5*h**5 + 0*h**2 + 0 - 18/5*h**3 = 0.
0, 2, 3
Let b(y) be the first derivative of 8*y**5/35 + 11*y**4/14 + 4*y**3/7 - 85. Find f, given that b(f) = 0.
-2, -3/4, 0
Let n(l) be the third derivative of -l**8/1176 + l**7/147 - l**6/140 - 17*l**5/210 + l**4/3 - 4*l**3/7 + 2*l**2 - 164. Let n(d) = 0. Calculate d.
-2, 1, 2, 3
Let l = 2471 + -22235/9. Factor 2/9*c**2 + l*c**3 - 4/9*c - 2/9.
2*(c - 1)*(c + 1)*(2*c + 1)/9
Let i(d) be the third derivative of -d**5/6 + 35*d**4/24 + 10*d**3/3 - d**2 + 10*d. Determine p, given that i(p) = 0.
-1/2, 4
Solve -15*m**2 + 129*m + 19 - 85*m - 19 + m**3 = 0 for m.
0, 4, 11
Let n(l) = l**3 - l**2 - 5*l - 1. Let o = 2 - -2. Let j be n(o). Determine a, given that 57*a**3 - 12 - 21*a**5 - 5 - 3 + 39*a**2 - 36*a - j*a**4 + 8 = 0.
-2, -1, -2/7, 1
Determine a so that 0 - 1/6*a**3 + a**2 - 2/3*a**4 + 0*a - 1/6*a**5 = 0.
-3, -2, 0, 1
Let g(x) be the first derivative of 4/9*x**3 + 13*x - 4/3*x**2 + 5 - 1/10*x**5 + 5/18*x**4. Let i(a) be the first derivative of g(a). Factor i(p).
-2*(p - 2)*(p + 1)*(3*p - 2)/3
Suppose -r = 5*r + 216. Let u be 8/r - (-47)/9. Find w such that 0 + 6*w + 6*w**4 + 0*w**u + 0*w**3 - 4*w**2 - 4*w**3 - 2*w**5 - 2 = 0.
-1, 1
Suppose 0 = 3*y + 4*g + 10, g + 0*g = 4*y - 12. Suppose 40*n**2 - 16 - 16*n + n**3 + 3*n**3 + n**4 - 40*n**y = 0. Calculate n.
-2, 2
Find s such that -48 - 42*s - 6*s**2 + 3/2*s**3 = 0.
-2, 8
Let n(s) be the second derivative of -s**10/6048 + s**8/448 + s**7/252 - 17*s**4/12 - 11*s. Let t(q) be the third derivative of n(q). Factor t(v).
-5*v**2*(v - 2)*(v + 1)**2
Let o(y) be the second derivative of y**7/5670 - y**6/540 + 5*y**4/3 - 10*y. Let n(g) be the third derivative of o(g). Factor n(x).
4*x*(x - 3)/9
Factor -282/11*q - 142/11 + 2/11*q**3 - 138/11*q**2.
2*(q - 71)*(q + 1)**2/11
Let q(f) be the third derivative of 0*f**3 + 0*f**4 - 2*f**2 + 0*f + 0 + 1/1140*f**6 + 1/570*f**5. Let q(h) = 0. Calculate h.
-1, 0
Factor -24/5*n**3 + 2/5*n**4 + 196/5*n + 0 + 42/5*n**2.
2*n*(n - 7)**2*(n + 2)/5
Factor 313*l + 4*l**4 - 297*l - 6 - 16*l**3 + 8*l**2 - 6.
4*(l - 3)*(l - 1)**2*(l + 1)
Let q(x) be the second derivative of 5*x**7/42 - x**6/6 - x**5/2 - 671*x. Find c, given that q(c) = 0.
-1, 0, 2
Let p be 3/12 - 10/(32 - -8). Let y(w) be the second derivative of 1/30*w**4 + 0 + p*w**3 + 0*w**2 + 1/100*w**5 - 2*w. Factor y(m).
m**2*(m + 2)/5
Suppose -18 = -4*f - 5*h, -2*f + 3*h = -0*f - 20. Solve -f*k**3 + 2*k**3 + 5*k - 317*k**2 + 0 - 5 + 322*k**2 = 0 for k.
-1, 1
Let j(n) be the second derivative of n**10/7560 + n**9/1890 - n**8/1680 - n**7/315 + 5*n**4/12 + 5*n. Let y(c) be the third derivative of j(c). Factor y(b).
4*b**2*(b - 1)*(b + 1)*(b + 2)
Let -40*f - 156*f**2 + 318*f**2 - 158*f**2 = 0. Calculate f.
0, 10
Let q be ((-1)/(-4))/(3/36). Factor q*f + 6*f**3 - 71 + 80 + 0*f - 21*f**2 + 3*f.
3*(f - 3)*(f - 1)*(2*f + 1)
Let c(s) = 8*s**2 + s. Let b be c(1). Solve 5*v**5 - v**3 - 2*v**3 - 12 - v**5 - v**5 - 33*v**2 + b*v**4 - 36*v = 0 for v.
-2, -1, 2
Let x = -2/26619 - -425930