(y + 1)
Let x(i) be the third derivative of 0*i - 3*i**2 + 0*i**4 + 1/42*i**7 + 0*i**3 + 0*i**5 - 1/24*i**6 + 0. Factor x(n).
5*n**3*(n - 1)
Let o be -5 + (-14408)/(-24)*4/480. Let s(a) be the third derivative of -1/90*a**5 + 0*a + o*a**6 + 0*a**4 + 0*a**3 + 3*a**2 + 0. Factor s(d).
d**2*(d - 2)/3
Let s(p) be the first derivative of p**6/33 - 2*p**5/11 + 9*p**4/22 - 14*p**3/33 + 2*p**2/11 - 22. Find u, given that s(u) = 0.
0, 1, 2
Let k(m) = -m**3 - 11*m**2 - 10*m + 4. Let w be k(-10). Let j = 1849/5 + -368. Suppose 0 + j*b**5 - 2/5*b**3 - 12/5*b**w + 4/5*b**2 + 1/5*b = 0. Calculate b.
-1/3, 0, 1
Let d = -5/51 - -67/510. Let w(s) be the third derivative of 0*s - 1/15*s**5 + 2/105*s**7 + 0 + 0*s**3 + 7*s**2 + 1/6*s**4 - d*s**6. Factor w(r).
4*r*(r - 1)**2*(r + 1)
Let b = 3589/2 + -8972/5. Factor 1/10*a**3 - 1/5 - 1/10*a**4 + 3/10*a**2 - b*a.
-(a - 2)*(a - 1)*(a + 1)**2/10
Let y(f) = -14*f - 13. Let w be y(-13). Let i = -167 + w. Let -1/2*g**i + 0 + 0*g = 0. What is g?
0
Let z(y) = -1438*y + 2. Let w be z(0). Determine u so that 4/9 + 2/9*u + 2/9*u**5 - 8/9*u**w - 4/9*u**3 + 4/9*u**4 = 0.
-2, -1, 1
Let b = 191 - 51. Suppose 8*h + 6 - 142*h**2 - 4*h + b*h**2 = 0. Calculate h.
-1, 3
Let n(y) be the second derivative of 26*y + 5/28*y**4 - 9/140*y**5 - 1/14*y**3 - 9/70*y**6 + 0*y**2 + 0. Determine m so that n(m) = 0.
-1, 0, 1/3
Let s(l) = l**2 + l + 1. Let p(g) = g**2 + 4*g + 7. Let b = 1 + -1. Let n = b + -4. Let y(v) = n*s(v) + p(v). Suppose y(f) = 0. What is f?
-1, 1
Let y(h) be the first derivative of -9 - 1/8*h**4 + 0*h**2 - 1/20*h**5 + 0*h + 1/4*h**3. Factor y(g).
-g**2*(g - 1)*(g + 3)/4
Let j(a) be the second derivative of 1/200*a**5 - 18*a + 0 + 1/120*a**4 + 0*a**2 - 1/60*a**3 - 1/300*a**6. Solve j(s) = 0.
-1, 0, 1
Let f(x) = 3*x**2 - 3*x**4 + 2 - 4 - 4 + 4*x**4 + 4*x. Let u(k) = -4*k**4 - k**3 - 9*k**2 - 12*k + 19. Let b(h) = 21*f(h) + 6*u(h). Factor b(s).
-3*(s - 1)**2*(s + 2)**2
Factor 0*c - 9/4*c**3 + 3/8*c**4 + 0 + 3*c**2.
3*c**2*(c - 4)*(c - 2)/8
Suppose -q + s + 40 = -0*s, 0 = -4*s + 12. Factor -10*h**2 + 5*h**4 + q*h**3 - 7*h**4 + 4*h - 35*h**3.
-2*h*(h - 2)*(h - 1)**2
Let p(t) be the third derivative of -5*t**6/16 + t**5/6 + t**4/12 - 59*t**2. Factor p(d).
-d*(5*d - 2)*(15*d + 2)/2
Let c(g) be the first derivative of -8*g**3/3 + 9*g**2 - 4*g + 169. Suppose c(n) = 0. What is n?
1/4, 2
Let q = 141481/120 + -1179. Let k(u) be the third derivative of -1/3*u**3 + 0 + 0*u - q*u**5 + 1/12*u**4 - 2*u**2. Factor k(x).
-(x - 2)**2/2
Suppose 95*s = 90*s + 15. Factor -20 + 797*t**4 - 115*t - 150*t**2 - 777*t**4 + 13*t**3 - 48*t**s.
5*(t - 4)*(t + 1)**2*(4*t + 1)
Let h(w) = -13*w - 4 + 0 + 15*w + 9. Let u be h(0). Determine v, given that 6/5*v**4 - 4/5*v**3 - 2/5 - 2/5*v**u + 6/5*v - 4/5*v**2 = 0.
-1, 1
Factor 34/7 - 1/7*g**3 + 2*g**2 + 7*g.
-(g - 17)*(g + 1)*(g + 2)/7
Let j = -103 - -517/5. Let c be 55/(-22)*(-16)/50. Solve -j*o**2 - 2/5 + c*o = 0.
1
Let h(a) = 18 - 9 - 6*a + 2*a + 11. Let s be h(5). Find x, given that s - 2/7*x**2 - 2/7*x = 0.
-1, 0
Let w = 22 + -19. Let -14 + 20 - w - 6*v + 3*v**2 = 0. Calculate v.
1
Let l be -7 - 33/(30/(-10)). Let d(g) be the second derivative of -9*g + 0*g**3 + 0*g**2 + 2/3*g**6 - 4/3*g**l + 0 - 8/5*g**5. Determine f so that d(f) = 0.
-2/5, 0, 2
Let u(g) = 4*g**5 + g**4 + 2*g**3 + 2*g**2 - 3*g + 6. Let q(b) = 11*b**5 + 2*b**4 + 5*b**3 + 6*b**2 - 8*b + 16. Let y(m) = 3*q(m) - 8*u(m). Factor y(l).
l**2*(l - 2)*(l - 1)*(l + 1)
Let b(d) be the third derivative of -d**5/330 - 5*d**4/33 + 7*d**3/11 + 5*d**2. Suppose b(l) = 0. What is l?
-21, 1
Let s(q) = 52*q - 252. Let w be s(5). Let i(h) be the second derivative of -w*h + 0*h**3 + 0 - 1/48*h**4 + 0*h**2. Factor i(z).
-z**2/4
Suppose 0*m = -28*m + 84. Let y(r) be the third derivative of 0 + 1/3*r**m + 1/24*r**4 - 1/20*r**5 + 0*r - 9*r**2. Find o such that y(o) = 0.
-2/3, 1
Let g be 0 - (10/(-5) - 2). Suppose -3*h = -p - 2, g*h - 2*h - 3*p + 8 = 0. Factor 0 + 6/5*a**3 + 3/5*a**h - 3/5*a**4 - 6/5*a.
-3*a*(a - 2)*(a - 1)*(a + 1)/5
Let d(g) = -g**3 - g**2 - g + 1. Suppose 7 = -3*p - 2*c, 3*c + 6 = -9. Let f(r) = 6*r**3 + 16*r**2 + 2*r - 8. Let m(k) = p*f(k) + 8*d(k). What is j in m(j) = 0?
0, 1, 3
Solve -4/5*x + 2/5*x**2 - 2/5*x**4 + 4/5*x**3 + 0 = 0 for x.
-1, 0, 1, 2
Suppose 3*a + 33 = 4*x + 14, 0 = -2*x + 5*a + 13. Suppose 0 = -5*m + 3*z + 25, 21 = -2*m - 0*m - 5*z. Solve 2/5*o + 6/5*o**3 - m*o**2 + 0 + 18/5*o**x = 0 for o.
-1, 0, 1/3
Let q be (10/(-36))/((-288)/27 - -9). Let i(d) be the second derivative of q*d**4 + 4*d**2 + 3*d - 4/3*d**3 + 0. What is g in i(g) = 0?
2
Let j(p) be the second derivative of p**5/25 - 2*p**4/15 - 26*p**3/15 - 4*p**2 - 99*p. Find l, given that j(l) = 0.
-2, -1, 5
Suppose 2*o - 2*h = -o + 12, 4*h + 12 = 0. Find s, given that 5*s**o + 4*s**3 + 0*s**2 + 0*s**3 - 7*s**2 - 2*s**4 = 0.
0, 1
Let a(t) = -13*t**4 + 24*t**3 - 29*t**2 + 6. Let u(y) = 25*y**4 - 49*y**3 + 58*y**2 - y - 11. Let g(p) = -11*a(p) - 6*u(p). Factor g(w).
-w*(w - 3)*(w - 1)*(7*w - 2)
Solve -69837 + 69837 - 2*l + 14*l + 38*l**2 = 0 for l.
-6/19, 0
Find f, given that 24/11*f**2 - 2/11*f**4 + 0*f - 8/11*f**3 + 0 = 0.
-6, 0, 2
Let y(x) = -x**3 - 11*x**2 + 14*x + 18. Let n be y(-12). Let t be (-13)/(-5) + n + 81/15. Factor -4/13*d + 6/13 - 2/13*d**t.
-2*(d - 1)*(d + 3)/13
Suppose 0 = 11*j - 31 - 13. Let b be (1/j)/1*2. Find m such that 31/4*m**2 - 1/4*m - 29/4*m**4 - 7*m**5 + 29/4*m**3 - b = 0.
-1, -2/7, 1/4, 1
Let q(c) be the second derivative of -c**7/504 - c**6/72 - c**4/4 + 14*c. Let u(w) be the third derivative of q(w). Factor u(s).
-5*s*(s + 2)
Factor -192/7 - 48/7*a - 3/7*a**2.
-3*(a + 8)**2/7
Let w = 5 - 3. Let i = w - -1. Factor 6*f**3 + 4*f - 13*f - 3 - 18*f**i + 21*f**2 + 3*f.
-3*(f - 1)**2*(4*f + 1)
Let d = -40 + 48. Let o(u) = 9*u**2 + 63*u + 62. Let b(t) = 3*t**2 + 21*t + 21. Let k(i) = d*b(i) - 3*o(i). Find j such that k(j) = 0.
-6, -1
Factor -4/7*v**3 + 0 + 128/7*v**2 + 0*v.
-4*v**2*(v - 32)/7
Let v(d) = -d**2 - 4*d. Let t(w) = 2*w - 24. Let l(a) = -a + 11. Let i(b) = -13*l(b) - 6*t(b). Suppose -77 = -5*r - 17. Let u(n) = r*i(n) + 3*v(n). Factor u(z).
-3*(z - 2)*(z + 2)
Find p, given that -5*p - p**3 + 13/2*p**2 + 3/4 - 5/4*p**4 = 0.
-3, 1/5, 1
Let c = -4 + 1. Let f(q) = -12*q**2 + 96*q - 192. Let v(x) = 4*x**2 - 32*x + 64. Let d(s) = c*f(s) - 8*v(s). Solve d(w) = 0 for w.
4
Let w = 93 - 88. Let -8*x**4 + 0*x + 3 + 32*x**2 - 2*x**3 + 4*x**5 + w - 6*x**3 - 28*x = 0. Calculate x.
-2, 1
Suppose -190*y + 184*y = -12. Let a(q) be the second derivative of 5/63*q**3 - 8*q - 1/21*q**y + 0 + 2/105*q**5 - 4/63*q**4. Determine r, given that a(r) = 0.
1/2, 1
Let t(v) be the second derivative of -v**5/90 - 5*v**4/54 - 7*v**3/27 - v**2/3 - 147*v - 2. Let t(p) = 0. What is p?
-3, -1
Let w = -12808 + 102523/8. Let -1/2*t**2 - 35/8*t**5 + 0 - w*t**4 - 7/2*t**3 + 0*t = 0. Calculate t.
-1, -2/5, -2/7, 0
Let g be (-782)/(-85) + 2/((-12)/54). Factor 8/5*s - g*s**2 + 0.
-s*(s - 8)/5
Determine t so that -610*t**3 + 13 + 4*t**5 + 50*t + 3*t**5 - 14 + 37*t**4 + 25 + 613*t**3 - 121*t**2 = 0.
-4, -3, -2/7, 1
Let l(i) = -i**2 + 4*i + 2. Let r be 1/2 - (-45)/18. Let s(u) = -r*u**2 + 5*u**2 - 2 - u**2 + 3. Let b(c) = l(c) + 2*s(c). Factor b(q).
(q + 2)**2
Let s(d) be the third derivative of 0*d + 0 + 0*d**3 + 1/84*d**4 + 3*d**2 + 1/210*d**5. Factor s(p).
2*p*(p + 1)/7
Suppose -3*n + 6*x = x - 28, 5*x - 20 = -5*n. Let t(w) be the second derivative of 1/6*w**4 - 1/15*w**n + 0*w**2 + 0 + 5*w + 0*w**3 + 0*w**5. Factor t(i).
-2*i**2*(i - 1)*(i + 1)
Suppose 1228 = 4*s + 4*l, -5*s = -5*l - 2132 + 557. Let x = 941/3 - s. Find b such that x*b - 5/3*b**2 - 4/3 + 1/3*b**3 = 0.
1, 2
Let x(v) = 4*v - 1. Let f be x(-2). Let r be (-10)/(-45) - 16/f. Factor -3*k**2 + 2 + 2*k**3 + 3*k**2 - 2*k - r*k**2.
2*(k - 1)**2*(k + 1)
Let l be 8 - (7/28 - -2)*480/140. Let i be (12/(-70))/((-9)/60). Factor l*c**2 + 0 - i*c**3 + 6/7*c.
-2*c*(c - 1)*(4*c + 3)/7
Let o(y) = -y**3 + 12*y**2 - 10*y - 4. Let u be o(11). Let m be (8/(-6))/(-2)*(-4 + u). Factor f**m + 1/3 - 4/3*f.
(f - 1)*(3*f - 1)/3
Suppose 0 = -7*t - 2 + 37. Suppose -3*q + i = -10, -3*q + t = i - 3. Find v such that 0*v**2 + 2*v**2 - v**3 + 3*v**2 - q*v**4 - 3*v**2 = 0.
-1, 0, 2/3
Suppose 0 = -5*j + 5*q + 6 + 834, 3*j = 4*q + 508. Let w = -110 + j. F