.
-2*(j - 13)**2*(j + 2)**2
Let t(s) = s + 3 + 1 - 9*s**3 - 11*s**2 + 7*s**2 + 0 + 8*s**3. Let k(r) = r**3 - r + 0 + 0*r**2 + r**2 - 1. Let w(f) = -6*k(f) - 3*t(f). Factor w(n).
-3*(n - 2)*(n - 1)*(n + 1)
Suppose 0 + 0*o + 2/7*o**4 - 8/7*o**2 + 6/7*o**3 = 0. Calculate o.
-4, 0, 1
Let b(q) be the third derivative of -q**7/525 - q**6/150 + q**4/30 + q**3/15 - q**2 + 11*q. Determine p, given that b(p) = 0.
-1, 1
Suppose 13*b - 32 = 5*b. Suppose -b*j - 2*j + 2*j + 4*j**2 + 8 - 8*j = 0. Calculate j.
1, 2
Let c(q) be the second derivative of -1/6*q**4 - 2/3*q**3 + 0 + 0*q**2 + 3*q. Factor c(u).
-2*u*(u + 2)
Let k = -90 - -145. Solve -10*m**3 + 12*m + 5*m**2 - 60*m**4 - 2*m + k*m**4 = 0.
-2, -1, 0, 1
Let h(a) be the third derivative of -a**5/160 + 23*a**4/64 - 8*a**2 + 27. Factor h(y).
-3*y*(y - 23)/8
Let x(c) = c**2 + 13*c - 28. Let r be x(-15). Let u(b) be the second derivative of 1/33*b**3 - 1/66*b**4 - 4*b + 0 + 0*b**r. Factor u(t).
-2*t*(t - 1)/11
Let s(n) be the second derivative of n**9/25200 + n**8/2240 + n**7/1400 - 3*n**6/400 + 2*n**4/3 + 10*n. Let r(b) be the third derivative of s(b). Factor r(z).
3*z*(z - 1)*(z + 3)**2/5
Let b(g) be the second derivative of g**7/14 + 19*g**6/30 + 3*g**5/4 - 9*g**4/4 - 5*g**3/3 - 30*g. Determine z, given that b(z) = 0.
-5, -2, -1/3, 0, 1
Let o(a) be the first derivative of a**3/9 + 31*a**2 + 2883*a + 541. Factor o(p).
(p + 93)**2/3
Let d(u) be the first derivative of 5*u**6/12 + 11*u**5/8 - u**4/4 - 7*u**3/3 + 2*u**2 + 6*u - 14. Let c(b) be the first derivative of d(b). Factor c(n).
(n + 1)*(n + 2)*(5*n - 2)**2/2
Let d(p) be the second derivative of p**9/151200 - p**7/25200 + 29*p**4/12 + p - 42. Let t(a) be the third derivative of d(a). Factor t(j).
j**2*(j - 1)*(j + 1)/10
Suppose 8 = 5*c - z + 1, 0 = 3*c + z - 9. Let t(a) = -2*a**2 + 56*a. Let b be t(28). Factor 2/3*j + 7/3*j**c + b.
j*(7*j + 2)/3
Let h(z) = -2*z**3 + 15*z**2 + 17*z - 3. Let r(x) = -10*x**3 + 74*x**2 + 84*x - 14. Let o(c) = -28*h(c) + 6*r(c). Factor o(u).
-4*u*(u - 7)*(u + 1)
Let y(l) be the first derivative of 4*l**3/3 + 360*l**2 + 32400*l + 367. Determine m, given that y(m) = 0.
-90
Let g be (-25)/(-5)*((-33)/(-15) + -1). Let m(k) be the third derivative of 0*k + 1/30*k**5 - g*k**2 + 1/6*k**4 + 0 - k**3. Factor m(v).
2*(v - 1)*(v + 3)
Let a(w) be the second derivative of 16/21*w**3 + w + 4/7*w**2 + 0 + 1/6*w**4. Solve a(z) = 0 for z.
-2, -2/7
Let q = 5/961 + 3769/14415. Factor 0 + 2/5*h**3 + q*h**2 + 2/15*h**4 + 0*h.
2*h**2*(h + 1)*(h + 2)/15
Let p(z) be the first derivative of -z**8/560 + z**7/280 - 3*z**3 - 6. Let b(i) be the third derivative of p(i). Let b(w) = 0. What is w?
0, 1
Let q(w) be the third derivative of -1/420*w**6 + 0*w + 3*w**2 + 1/105*w**5 + 1/84*w**4 + 0 - 2/21*w**3. Factor q(f).
-2*(f - 2)*(f - 1)*(f + 1)/7
Let i = -44 + 40. Let s be (45/10)/((-3)/i*1). Let -s - 2/3*v**2 - 4*v = 0. What is v?
-3
Factor 0 + 2*d**2 + 0 - 3 + 0*d + 2*d**3 - 2*d + 1.
2*(d - 1)*(d + 1)**2
Let d = 4032/55 - 802/11. Factor 2/5*z**2 + d - 4/5*z.
2*(z - 1)**2/5
Let s(d) be the third derivative of -d**7/1365 + d**6/195 + 3*d**5/65 + 5*d**4/39 + 7*d**3/39 - 41*d**2. Find q, given that s(q) = 0.
-1, 7
Suppose -3*w + 174 = -2*k - 5*w, -2*w - 88 = k. Let j = k + 431/5. Factor -2/5*q - 1/5*q**2 - j.
-(q + 1)**2/5
Let c(h) be the third derivative of h**7/42 + h**6/12 - 7*h**5/4 + 15*h**4/4 - 248*h**2. Factor c(l).
5*l*(l - 3)*(l - 1)*(l + 6)
Let j = 43 - -12. Let x = 111/2 - j. Determine k so that -3/2*k**4 + 0 - x*k**3 + k**2 + 0*k = 0.
-1, 0, 2/3
Let m(g) = -g + 7. Let c be m(3). Suppose 14*q**3 - c*q**2 + 7 + 2*q**3 - 144*q + 29 = 0. What is q?
-3, 1/4, 3
Let x(c) be the first derivative of -c**5/5 - 7*c**4/4 + 3*c**3 + 7*c**2/2 - 8*c + 21. Factor x(q).
-(q - 1)**2*(q + 1)*(q + 8)
Let v(l) be the second derivative of -7*l**6/15 - 9*l**5/10 + 2*l**4 + 4*l**3/3 + 110*l. Determine p so that v(p) = 0.
-2, -2/7, 0, 1
Let b be 6/24 + (20/(-50))/((-8)/10). Let a be (-1 - 5/(-2))/12. Factor 9/8 - b*v + a*v**2.
(v - 3)**2/8
Solve -10*o**4 + 30*o**3 + 137*o**2 + 46*o**2 - 5*o**5 + 30 - 83*o**2 + 95*o = 0 for o.
-2, -1, 3
Let i(f) be the second derivative of 0 - 1/16*f**3 + 3/160*f**5 - 3/32*f**4 + 13*f + 9/16*f**2. Solve i(n) = 0 for n.
-1, 1, 3
Suppose -42*s = 56*s + 16*s. Let a = 2/21 - -1/21. Determine w so that s - 4/7*w**2 - 4/7*w - a*w**3 = 0.
-2, 0
Let i(f) be the third derivative of -2*f**5/15 - 7*f**4/12 - f**3/2 + 38*f**2. Let a(g) = -16*g**2 - 27*g - 6. Let o(l) = -3*a(l) + 5*i(l). Factor o(p).
(p + 1)*(8*p + 3)
Let w = -214 + 218. Let m(n) be the second derivative of -1/60*n**w - 9*n + 0 + 1/30*n**3 + 0*n**2. Let m(v) = 0. What is v?
0, 1
Let v(n) be the second derivative of 1/6*n**3 + 0*n**2 - 10*n + 0*n**4 - 1/420*n**5 + 0 + 1/2520*n**6. Let s(q) be the second derivative of v(q). Factor s(p).
p*(p - 2)/7
Let t(w) be the first derivative of -w**5/30 + w**3/18 + 426. Factor t(p).
-p**2*(p - 1)*(p + 1)/6
Let m(y) be the first derivative of 4/3*y - 2/9*y**3 + 1 - 2/15*y**5 - 1/2*y**4 + y**2. Find k such that m(k) = 0.
-2, -1, 1
Let h(l) be the third derivative of -l**7/630 + 13*l**6/360 - 29*l**5/180 - 13*l**4/72 + 5*l**3/3 - 11*l**2. Suppose h(d) = 0. What is d?
-1, 1, 3, 10
Let w(k) be the second derivative of 5*k**7/42 + 9*k**6/5 + 226*k**5/25 + 20*k**4 + 296*k**3/15 + 48*k**2/5 + 4*k + 13. What is p in w(p) = 0?
-6, -2, -2/5
Suppose 5*g + 28 = -3*v + 52, 3*v + 6 = 5*g. What is h in 4/5 + 5*h**4 + 14*h**g + 28/5*h + 69/5*h**2 = 0?
-1, -2/5
Let k(o) be the first derivative of -o**3/24 + o**2/8 + 3*o/8 + 82. Factor k(h).
-(h - 3)*(h + 1)/8
What is j in -51*j**2 + 22*j**2 - 26*j + 48*j**3 - 12*j**3 + 15*j**2 + 16*j**2 + 8 = 0?
-1, 4/9, 1/2
Let t(a) be the second derivative of a**6/45 - 7*a**5/6 + 16*a**4 + 36*a**3 + a - 116. What is r in t(r) = 0?
-1, 0, 18
Let 15/4*k + 33/8 - 3/8*k**2 = 0. Calculate k.
-1, 11
Suppose -5*n + 17 = 2*a - 35, 2*a + n = 68. Suppose 3*k - a = -0*k. Solve -k*p**3 - 3 + 2*p + 3*p**2 + 10*p + 0 = 0.
-1, 1/4, 1
Suppose -7*a**2 - 8/3 - 1/3*a**4 - 22/3*a - 8/3*a**3 = 0. Calculate a.
-4, -2, -1
Let b be (-24)/42 - (-8)/14. Let k(j) be the third derivative of b*j**3 + 0*j**4 - 7*j**2 + 1/120*j**6 - 1/420*j**7 + 0 + 0*j - 1/120*j**5. Factor k(m).
-m**2*(m - 1)**2/2
Let h(y) be the first derivative of y**6/6 + 6*y**5/5 + 3*y**4 + 10*y**3/3 + 3*y**2/2 + 146. Factor h(s).
s*(s + 1)**3*(s + 3)
Let v = 21 - 11. Let t = 5 + v. Factor 3*x - 2*x**2 - 19*x**2 + t*x**3 + 3*x.
3*x*(x - 1)*(5*x - 2)
Let x(v) = 28*v - 26*v - 1 - 4. Let b be x(5). What is p in 2*p**3 + 2*p**2 + 5*p**3 - b*p**4 + 7*p**4 - 3*p**3 = 0?
-1, 0
Let w(p) = p**2 + 7*p - 4. Let j(t) = -3*t**2 - 21*t + 10. Let x(i) = 2*j(i) + 7*w(i). Suppose x(k) = 0. What is k?
-8, 1
Let o be (-1302)/(-35) - (-4)/5. Let z = 41 - o. Solve -3 + 3/2*r**z + 0*r**2 - 9/2*r = 0 for r.
-1, 2
Let c(w) be the first derivative of 3 + 1/3*w**3 - 3*w + 3/14*w**4 - 2/7*w**2. Let b(u) be the first derivative of c(u). Let b(j) = 0. What is j?
-1, 2/9
Let f(m) be the first derivative of -3*m**4/8 + 8*m**3 - 207*m**2/4 + 135*m - 317. Factor f(q).
-3*(q - 10)*(q - 3)**2/2
Let t = -56471/3 - -18825. Determine c, given that 0 - 2/9*c**4 - 22/9*c**2 - t*c**3 - 4/3*c = 0.
-3, -2, -1, 0
Determine f, given that 36*f**3 - 379*f**5 + 181*f**5 + 189*f**5 - 15*f**4 = 0.
-3, 0, 4/3
Let n(j) be the second derivative of j**8/8960 - j**7/5040 - j**6/2880 + 3*j**4/2 + 6*j. Let y(d) be the third derivative of n(d). Factor y(x).
x*(x - 1)*(3*x + 1)/4
Let i(s) be the first derivative of -4*s**4 + 8*s**3 - 8*s**2 + 4*s + 4/5*s**5 + 19. Suppose i(z) = 0. What is z?
1
Let k(w) be the first derivative of -1/6*w**2 + 7/12*w**4 + 0*w - 16 - 4/15*w**5 - 2/9*w**3. Suppose k(u) = 0. Calculate u.
-1/4, 0, 1
Let v(c) = 6*c**2 - 16*c - 120. Let w(k) = -2*k**2 + k. Let m(g) = v(g) + 2*w(g). Solve m(x) = 0 for x.
-5, 12
Let m be (-19)/38*(0 + 0). Let u(r) be the first derivative of 1/30*r**4 - 4/45*r**3 + 0*r**2 - 8 + m*r. Factor u(x).
2*x**2*(x - 2)/15
Let q be (-6)/36 + 19/6 + 1. Suppose -3*c - 2*c - 10 = 5*b, 0 = -3*b - q*c - 10. Suppose -3/4*t**b + 0*t + 0 = 0. Calculate t.
0
Let v(d) be the second derivative of -2*d**6/3 - 3*d**5/5 + 2*d**4/3 + 10*d + 14. Determine k so that v(k) = 0.
-1, 0, 2/5
Let c(p) be the second de