v) - y(v). Determine z, given that m(z) = 0.
-3, -1
Let r(p) be the third derivative of -p**5/24 - 245*p**4/96 - 5*p**3 - 11*p**2 + 6*p. Let r(l) = 0. Calculate l.
-24, -1/2
Let v = 450 + -445. Let k(y) be the second derivative of 1/36*y**3 + 0 + 1/36*y**4 + 1/120*y**5 - v*y + 0*y**2. Factor k(z).
z*(z + 1)**2/6
Let f(c) be the third derivative of -c**6/40 + c**4/8 - 10*c**2 + 7. Find a such that f(a) = 0.
-1, 0, 1
Let a(q) be the second derivative of q**6/360 + q**5/180 - 5*q**4/72 + q**3/6 + 4*q**2 + 17*q. Let o(x) be the first derivative of a(x). Factor o(r).
(r - 1)**2*(r + 3)/3
Let i(r) be the third derivative of -1/40*r**6 + 0*r**4 + 0*r**3 + 0 + 1/210*r**7 + 1/30*r**5 + 0*r + 2*r**2. Find q such that i(q) = 0.
0, 1, 2
Let w be -26 + (-7200)/(-275) + (-40)/(-22). Suppose 2/7*c**w + 0*c**3 - 1/7*c**5 - 2/7*c**4 + 1/7*c + 0 = 0. Calculate c.
-1, 0, 1
Let s(y) be the third derivative of y**7/105 + y**6/15 - y**5/5 - y**4/3 + 5*y**3/3 + 96*y**2. Factor s(u).
2*(u - 1)**2*(u + 1)*(u + 5)
Let h be 45/9*2/5. Suppose h = -2*v + 2*s, v - 3*s - 15 = -6*s. Factor 24 - 12*u - u**v + u**3 - 6*u**2 + 3*u**3.
3*(u - 2)**2*(u + 2)
Let q(w) be the second derivative of -31*w**4/16 + 17*w**3/4 - 9*w**2/8 - w + 12. Factor q(s).
-3*(s - 1)*(31*s - 3)/4
Let v(a) be the third derivative of -a**6/60 - 4*a**5/15 - 19*a**4/12 - 4*a**3 - 2*a**2 + 10. Factor v(i).
-2*(i + 1)*(i + 3)*(i + 4)
Let 0 + 4/5*y**5 + 0*y - 108/5*y**3 + 24/5*y**4 + 0*y**2 = 0. Calculate y.
-9, 0, 3
Factor 55*f + 112*f**2 - 166*f**2 + 84*f**2 - 2 - 8.
5*(f + 2)*(6*f - 1)
Let w = -17 - -22. Suppose 14 = w*g - 6. Factor 2*t + 2*t**g + 12 - 14 + 2*t - 4*t**3.
2*(t - 1)**3*(t + 1)
Suppose 0 = -5*p + 13 + 2. Suppose -3*n - p*s = -19 - 56, -5*s + 79 = 3*n. Suppose -23 + n + q**2 = 0. Calculate q.
0
Factor -1/4*z**3 + 13/4*z - 5/4*z**2 - 7/4.
-(z - 1)**2*(z + 7)/4
Let d = -219 + 236. Let f(w) = -2*w**3 + 36*w**2 - 36*w + 34. Let z be f(d). What is r in 0*r**3 - 2/7*r**2 + z*r + 2/7*r**4 + 0 = 0?
-1, 0, 1
What is b in 0*b**2 + 0*b + 0 - 2/3*b**4 + 2/9*b**5 + 4/9*b**3 = 0?
0, 1, 2
Let b = -4053/13 + 20369/65. Factor 0*h + 2/5*h**3 + 0 + b*h**2.
2*h**2*(h + 4)/5
Let s(d) = d + 20. Let g be s(-19). Let l(h) = -h. Let v(b) = -5*b**2 + 12*b - 2. Let n(u) = g*l(u) + v(u). Factor n(f).
-(f - 2)*(5*f - 1)
Let p(a) be the second derivative of -a**7/56 + a**6/180 + 2*a**3/3 - 2*a**2 + 55*a. Let i(d) be the second derivative of p(d). Factor i(v).
-v**2*(15*v - 2)
Let r(y) be the first derivative of y**6/14 - 12*y**5/35 + 3*y**4/7 + 2*y**3/7 - 15*y**2/14 + 6*y/7 + 183. Suppose r(n) = 0. What is n?
-1, 1, 2
Let a be 9 + 0 + (-4 - -1). Let m be 4/a + 5 + 6/(-2). Solve m + 2/3*f**2 + 8/3*f = 0 for f.
-2
Determine h, given that 14*h + 6 - 5/2*h**2 = 0.
-2/5, 6
Let s be 0 + (-19 - -7) - -12. Determine t so that 4/7*t**3 + 16/7*t + s + 20/7*t**2 = 0.
-4, -1, 0
Suppose r = -2*s - 3*r + 20, 0 = -r + 3. Factor -4*t**5 - 24*t**4 + 6*t**s - 30*t**3 - 14*t**2 + 2*t**5.
-2*t**2*(t + 1)**2*(t + 7)
Suppose 2*v - t = 1, 2*v + 6*t - 8*t = 2. Let b(i) be the first derivative of 0*i - 1/4*i**4 + v*i**2 + 1/3*i**3 + 10. Find o, given that b(o) = 0.
0, 1
Let g(f) be the third derivative of 5*f**8/84 + 6*f**7/7 + 61*f**6/24 - 15*f**5/2 + 125*f**4/24 - 140*f**2. Factor g(p).
5*p*(p + 5)**2*(2*p - 1)**2
Let a = -591 + 2365/4. Let x(q) be the first derivative of -1 - 1/12*q**3 + 3/4*q - a*q**2. Factor x(f).
-(f - 1)*(f + 3)/4
Let -3*b**3 + 0 + 1/6*b**5 + 0*b - 7/6*b**4 + 0*b**2 = 0. What is b?
-2, 0, 9
Factor 2/5*o**3 - 2/5*o + 16/5 - 16/5*o**2.
2*(o - 8)*(o - 1)*(o + 1)/5
Let g be (1 + 4/(-2))*-1. Solve g + 0*y**2 + 0*y**2 - y**2 = 0 for y.
-1, 1
Let i(a) be the third derivative of a**5/12 + 70*a**4 + 23520*a**3 + 207*a**2. Solve i(k) = 0 for k.
-168
Let o(y) be the first derivative of -y**8/1680 - y**7/120 - y**6/24 - 3*y**5/40 - 34*y**3/3 - y + 44. Let f(m) be the third derivative of o(m). Factor f(i).
-i*(i + 1)*(i + 3)**2
Let h(j) be the second derivative of j**9/136080 - j**8/15120 + j**7/4536 - j**6/3240 - 5*j**4/12 - 3*j. Let m(o) be the third derivative of h(o). Factor m(d).
d*(d - 2)*(d - 1)**2/9
Suppose -3*r + 5 = 4*l, -8*r - 7 = -2*l - 5*r. Let g(v) be the first derivative of 0*v**3 + 0*v + 0*v**l + 1/25*v**5 + 7 + 1/20*v**4. Find f such that g(f) = 0.
-1, 0
Let s(k) be the second derivative of -k**6/195 - 3*k**5/26 - 7*k**4/39 - 26*k + 4. Solve s(b) = 0.
-14, -1, 0
Let k(o) = o**2 + 3*o - 6. Let d(m) = 2*m**2 + 6*m - 10. Let b(z) = 6*d(z) - 13*k(z). Determine i, given that b(i) = 0.
-6, 3
Let z(r) be the third derivative of r**5/24 - 165*r**4/8 + 16335*r**3/4 - 175*r**2 + 2*r. Factor z(n).
5*(n - 99)**2/2
Let t = 2/933 + 105425/1866. Let s = t + -1013/18. Factor -s*f**2 + 2/9*f + 0.
-2*f*(f - 1)/9
Let s(y) be the first derivative of -27/2*y - 24 - 1/2*y**3 + 9/2*y**2. Factor s(a).
-3*(a - 3)**2/2
Let c(r) be the first derivative of r**9/7560 + r**8/280 + r**7/28 + 5*r**6/36 - 7*r**3 - 5. Let w(x) be the third derivative of c(x). Factor w(v).
2*v**2*(v + 5)**3/5
Let g(t) be the second derivative of -t**6/15 + t**5/15 + 13*t**4/18 - 8*t**3/9 - 4*t**2/3 + 83*t + 1. What is f in g(f) = 0?
-2, -1/3, 1, 2
Let t be (-1 + -2 + 2)/(1 + 1)*-6. Determine a, given that -4*a**4 + 20/7*a - 8/7 + 36/7*a**2 - 20/7*a**t = 0.
-1, 2/7, 1
Find d such that -88*d - 1414 + 19*d - 145 - d**2 - 41 - 11*d = 0.
-40
Let p = -169 - -515/3. Let s be (-20)/75*65/(-26). Find w such that 2/3*w**2 + p*w**5 - 8/3*w**3 - s*w**4 + 0 + 0*w = 0.
-1, 0, 1/4, 1
Find p such that -10*p - 25 + 71/4*p**2 + 13/4*p**4 + 1/4*p**5 + 55/4*p**3 = 0.
-5, -2, 1
Let h = 87/8 - 245/24. Let f(r) be the first derivative of 3/2*r**4 + 14/9*r**3 + 4 + 0*r - h*r**2. Solve f(x) = 0 for x.
-1, 0, 2/9
Let c(u) = u**3 + 9*u**2 - 71*u - 10. Let v be c(-14). Let z be (-3)/108 - 1/(-4). Factor 0*r + 10/9*r**v - 2/3*r**5 + 0 - z*r**2 - 2/9*r**3.
-2*r**2*(r - 1)**2*(3*r + 1)/9
Suppose 7 = -2*r + 2*h - h, 3*r - 2*h = -11. Let d be (2 - (-6)/r)/(-1). Suppose 1/5*c**4 + 0*c + 2/5*c**2 - 3/5*c**3 + d = 0. Calculate c.
0, 1, 2
Let t(g) be the second derivative of -g**5/2 - 23*g**4/12 - 4*g**3/3 - 24*g. Let i(z) = -20*z**3 - 45*z**2 - 15*z. Let h(b) = 2*i(b) - 5*t(b). Factor h(q).
5*q*(q + 2)*(2*q + 1)
Let w(y) = -4*y**5 + 2*y**2 + 2*y. Let g(l) = 9*l**5 - l**4 + l**3 - 4*l**2 - 5*l. Let k(o) = 2*g(o) + 5*w(o). Solve k(n) = 0 for n.
-1, 0, 1
Suppose 0 = 2*l - 147 - 19. Let v = l + -245/3. What is x in v*x**3 - 2/3 + 0*x**2 + 2/3*x**4 - 4/3*x = 0?
-1, 1
Find l such that 26 - 25*l**4 - 12*l**3 - 32*l**2 - 21*l**4 + 50*l**4 + 48*l + 38 = 0.
-2, -1, 2, 4
Suppose -70*b + 74*b - 40 = 0. Factor b*o - 53*o**3 + 3*o**4 + 5*o**2 + 43*o**3 - 8*o**4.
-5*o*(o - 1)*(o + 1)*(o + 2)
Let j = -220 - -222. Let h(x) be the second derivative of 3*x + 3*x**3 + 2/3*x**4 + 0 + 2*x**j. Solve h(o) = 0.
-2, -1/4
Let d(c) be the second derivative of c**4/12 - 7*c**3/9 + 4*c**2/3 + c - 25. Find m such that d(m) = 0.
2/3, 4
Let d(b) be the first derivative of -13/14*b**4 + 24/35*b**5 - 4/7*b**2 - 40/21*b**3 + 0*b - 3. Solve d(o) = 0 for o.
-2/3, -1/4, 0, 2
Let c(f) be the first derivative of -f**4/14 - 32*f**3/21 + 5*f**2 - 36*f/7 - 263. Factor c(n).
-2*(n - 1)**2*(n + 18)/7
Let y be 22/(-2) + 1620/(-980)*-7. Factor 2/7*h**2 + 2/7 + y*h.
2*(h + 1)**2/7
Let m(k) be the second derivative of -k**4/3 - 2*k**3 - k. Suppose m(j) = 0. What is j?
-3, 0
Let f(q) be the second derivative of -q**4/48 + 5*q**3/8 - 84*q. Factor f(z).
-z*(z - 15)/4
Let f = 40003 + -199983/5. Factor 16/5*i - 2/5*i**2 - f.
-2*(i - 4)**2/5
Let f(o) be the third derivative of 8/15*o**3 - 1/525*o**7 - 1/60*o**6 - 23/60*o**4 + 0*o - 13*o**2 + 7/50*o**5 - 1. Factor f(h).
-2*(h - 1)**3*(h + 8)/5
Let u = 6377/4069 - 9/313. Factor u*m**3 + 32/13 + 66/13*m**2 + 80/13*m + 2/13*m**4.
2*(m + 1)**2*(m + 4)**2/13
Let u(v) be the first derivative of 2*v**2 + 0*v + 7 - 10/3*v**3 + 3/2*v**4. What is x in u(x) = 0?
0, 2/3, 1
Factor 170/7*i + 14*i**3 + 88*i**2 + 12/7.
2*(i + 6)*(7*i + 1)**2/7
Let a = -7 - -11. Find v such that 12*v - v - a*v**5 - 32*v**2 + 8*v**3 + 8*v**4 + 20*v - 3*v - 8 = 0.
-2, 1
Factor -3 - 2*b**2 + 11/2*b.
-(b - 2)*(4*b - 3)/2
Let x(h) = -h**3 - 17*h**2 + 4*h + 70. Let w be x(-17). Suppose w*l**3 + 1/2*l**4 + 5/2*l**2 + 0 + l = 0. Calculate l.
-2, -1