rivative of 5*a**6/42 - a**5/5 - 3*a**4/28 + a**3/3 - a**2/7 + 22. Find l such that v(l) = 0.
-1, 0, 2/5, 1
Suppose 5*v = 10*v - 15. Factor -51*f**3 - 52*f**4 - 72*f**2 - 15*f**5 - 37*f**v - 4 + 3*f**5 - 28*f.
-4*(f + 1)**4*(3*f + 1)
Suppose 4 = -2*i + i. Let b be (i/5)/(12/(-30)). Find l, given that -3/2*l**3 - b*l + 0 + 4*l**2 = 0.
0, 2/3, 2
Let o = 3/2 + -5/6. Find v, given that 1/6*v**3 - o*v**2 - 1/3 + 5/6*v = 0.
1, 2
Let h(c) be the second derivative of -4*c + 1/12*c**4 + 0 + 1/3*c**3 + 1/2*c**2. Factor h(q).
(q + 1)**2
Let v(m) be the second derivative of 5*m + 0*m**3 - 1/14*m**5 + 0 - 1/21*m**4 + 0*m**2. Solve v(g) = 0 for g.
-2/5, 0
Let k(u) = -11*u - 9. Let d be k(-1). Determine t, given that 0*t + 0 + 0*t**4 - 1/4*t**5 + 0*t**d + 1/4*t**3 = 0.
-1, 0, 1
Suppose 3*l = -2*l. Suppose l*d + 2*d - 10 = -4*g, 0 = -g + 5*d + 19. Factor 2/3*a**g + 0*a**2 + 4/3*a - 4/3*a**3 - 2/3.
2*(a - 1)**3*(a + 1)/3
Let b(f) be the first derivative of -4/5*f + 1/5*f**2 - 1 + 2/15*f**3. Find a such that b(a) = 0.
-2, 1
Suppose -2*v + 8 = 4*q, 3*q = -2*q + v + 24. What is g in -3*g**3 - 2*g**3 + g**3 - 2*g**q + 2 + 4*g = 0?
-1, 1
Let j(m) = 15*m**2 - 21*m + 15. Let x(i) = 7*i**2 - 10*i + 8. Let q(k) = 5*j(k) - 9*x(k). Solve q(u) = 0.
1/4, 1
Find z such that 4/7*z**4 + 4/7 - 2/7*z**5 + 4/7*z**3 - 2/7*z - 8/7*z**2 = 0.
-1, 1, 2
Let g = -14/117 + 817/5850. Let x(z) be the second derivative of 2/15*z**3 + 0*z**2 + g*z**5 + 0 + 2*z + 1/10*z**4. Factor x(r).
2*r*(r + 1)*(r + 2)/5
Let k(p) be the third derivative of -p**6/36 + 8*p**5/15 - 25*p**4/36 - 2*p**3 - 3*p**2 + 6. Factor k(u).
-2*(u - 9)*(u - 1)*(5*u + 2)/3
Let y(f) be the second derivative of -f**7/2100 - 4*f**3/3 - 4*f. Let a(r) be the second derivative of y(r). Suppose a(j) = 0. What is j?
0
Let x(b) be the first derivative of 28*b**5 + 24*b**4 + 16*b**3/3 - 14. Let x(z) = 0. What is z?
-2/5, -2/7, 0
Let u(s) be the first derivative of 3*s + 0*s**3 - 1/5*s**5 + 1 + 0*s**2 + 1/6*s**4. Let g(f) be the first derivative of u(f). Let g(h) = 0. Calculate h.
0, 1/2
Suppose 4*m - 5*b = 20, -5*m + 2 = -3*b - 10. Find o, given that m + 2/11*o + 2/11*o**2 = 0.
-1, 0
Let r(d) = -4*d. Let f be r(-2). Factor -55*g**2 + 57*g**2 + 5*g**3 + 7*g**3 + f*g**5 + 18*g**4.
2*g**2*(g + 1)**2*(4*g + 1)
Let v = -66 - -68. Factor 0*r + 0 - 2/7*r**v - 2/7*r**3.
-2*r**2*(r + 1)/7
Let o(d) be the first derivative of -d**5/15 + d**4/18 + 2*d**3/9 - d**2/3 - 8*d - 6. Let z(k) be the first derivative of o(k). Find n, given that z(n) = 0.
-1, 1/2, 1
Factor -2/15*f - 8/15*f**2 + 0.
-2*f*(4*f + 1)/15
Solve -9*n**2 + 40*n**3 - 22*n**4 + 5*n**5 - 3*n**4 - 11*n**2 = 0.
0, 1, 2
Let s(h) = h**3 + 10*h**2 - 3*h + 9. Let t be s(-10). Let g = t - 69/2. Find a such that -1 - g*a**2 - 11/2*a = 0.
-1, -2/9
Let x(k) be the first derivative of 3/14*k**4 + 2/7*k - 4/35*k**5 - 3/7*k**2 + 2/21*k**3 + 1. Find b such that x(b) = 0.
-1, 1/2, 1
Factor 1 - 1 + 45*z**2 - 41*z**2 - 4*z**4.
-4*z**2*(z - 1)*(z + 1)
Find b such that 8/13 - 2/13*b**2 + 0*b = 0.
-2, 2
Let d(o) = -4*o**3 + 8*o**2 - 6*o - 2. Let k(a) = 21*a**3 - 41*a**2 + 31*a + 11. Let n(m) = -22*d(m) - 4*k(m). Determine i, given that n(i) = 0.
0, 1, 2
Suppose -2*u = -5*u - 9, 0 = -4*o - u + 21. Let i be 2/o + 1/6. Suppose 0 + i*n + 0*n**4 + 1/2*n**5 + 0*n**2 - n**3 = 0. What is n?
-1, 0, 1
Let l(i) be the first derivative of 2*i**5/35 - i**4/7 - 2. Factor l(m).
2*m**3*(m - 2)/7
Let y be (-4)/((-4)/3) + 1. Suppose -8*q + 8 = -y*q. Find d such that -4*d**2 + q*d**2 - d + 3*d**2 + d**3 - 1 = 0.
-1, 1
Let o(n) = n**2 - 5*n - 3. Let v be o(3). Let d(x) = -x**3 - 9*x**2. Let j be d(v). Factor 0*f + j - 1/3*f**5 - 1/3*f**4 + 1/3*f**3 + 1/3*f**2.
-f**2*(f - 1)*(f + 1)**2/3
Let j(a) be the first derivative of a**9/1512 + a**8/420 - a**6/90 - a**5/60 - a**3 - 1. Let f(l) be the third derivative of j(l). Factor f(c).
2*c*(c - 1)*(c + 1)**3
Let a(p) = -55*p**2 - 10*p + 15. Let g(f) = 2*f**2 + f. Let x(v) = -a(v) - 30*g(v). Let x(r) = 0. Calculate r.
-3, -1
Let g be (4/3)/(34/51). Suppose g + 4 = 3*w. Factor 2/7*b**w + 4/7 + 6/7*b.
2*(b + 1)*(b + 2)/7
Let n be 10/(-80) - (-1)/8. Let -1/2*c**2 + n*c + 0 - 1/2*c**3 = 0. Calculate c.
-1, 0
Let a(r) be the first derivative of 3*r - r**3 + r**3 + r**3 + 1 + 3*r**2 + 0*r. Factor a(j).
3*(j + 1)**2
Let q = 48 + -48. Let g(j) be the first derivative of -1/5*j**5 + 0*j**2 + q*j + 0*j**3 + 1 - 1/4*j**4. Factor g(i).
-i**3*(i + 1)
Factor -4/5 + 2/5*s**3 + 2*s - 8/5*s**2.
2*(s - 2)*(s - 1)**2/5
Suppose -2 = -77*t + 76*t. Factor -8/3*r**4 + t*r**2 + 2/3*r + 0 + 0*r**3.
-2*r*(r - 1)*(2*r + 1)**2/3
Factor -2*z**3 + 10/7*z**4 + 0 + 4/7*z**2 + 0*z.
2*z**2*(z - 1)*(5*z - 2)/7
Let a = -120 - -1441/12. Let b(f) be the first derivative of -1/2*f + a*f**3 + 1 - 1/8*f**2. What is u in b(u) = 0?
-1, 2
Let x(y) be the third derivative of 0 + 0*y - 1/420*y**6 + 0*y**3 + 1/84*y**4 + 0*y**5 - 5*y**2. Factor x(c).
-2*c*(c - 1)*(c + 1)/7
Suppose 5*d**3 - 5*d**2 + 5/2*d**4 - 5/2*d - 5/2*d**5 + 5/2 = 0. What is d?
-1, 1
Let r(m) be the first derivative of 0*m - 4/21*m**3 - 8/7*m**2 + 9. Factor r(z).
-4*z*(z + 4)/7
Factor 0*w**4 + 2/3*w**5 + 0*w - 2/3*w**3 + 0*w**2 + 0.
2*w**3*(w - 1)*(w + 1)/3
Let a = -3460/3 + 1074. Let r = a + 80. Factor -2/3*i - 2/3 + r*i**2 + 2/3*i**3.
2*(i - 1)*(i + 1)**2/3
Let a(h) be the first derivative of -h**5/60 - h**4/24 + h**2 + 1. Let r(c) be the second derivative of a(c). Determine n so that r(n) = 0.
-1, 0
Suppose 69*u = 72*u - 6. Let s(d) be the third derivative of 1/180*d**5 - 3*d**u + 0 + 0*d + 1/24*d**4 + 1/9*d**3. Solve s(m) = 0 for m.
-2, -1
Solve 8/11*f**2 - 6/11 + 2/11*f = 0 for f.
-1, 3/4
Let v(i) = -i**2 + 3*i + 6. Let q be v(4). Determine m, given that -3/2*m**5 + 9/2*m + 3/2 + 3*m**q - 9/2*m**4 - 3*m**3 = 0.
-1, 1
Let g(b) be the third derivative of -b**7/315 - b**6/180 + b**5/90 + b**4/36 + 8*b**2. Solve g(u) = 0 for u.
-1, 0, 1
Let x(b) be the third derivative of b**9/68040 + b**8/30240 - b**7/5670 + b**4/4 - b**2. Let d(t) be the second derivative of x(t). Factor d(h).
2*h**2*(h - 1)*(h + 2)/9
Let j(n) be the third derivative of -n**5/15 + 7*n**4/3 - 98*n**3/3 + 3*n**2. Determine z so that j(z) = 0.
7
Suppose 2*h = 11 - 7. Let c(m) be the third derivative of -1/240*m**5 + h*m**2 + 1/96*m**4 - 1/480*m**6 + 0 + 0*m + 1/24*m**3. Suppose c(z) = 0. Calculate z.
-1, 1
Let d(v) = -3*v**3 + 14*v**2 + 5*v - 7. Let a = -6 - -1. Let w(r) = -3*r**3 + 15*r**2 + 6*r - 6. Let q(j) = a*w(j) + 6*d(j). Solve q(f) = 0 for f.
-1, 2
Let k be (-2)/16 - ((-10)/(-16) - 1). Find a, given that -k*a**2 + 1/4 + 0*a = 0.
-1, 1
Let z(v) = 20*v**5 + 20*v**4 + 5*v**2 - 5. Let c(g) = -20*g**5 - 21*g**4 - g**3 - 4*g**2 + 4. Let n(o) = -5*c(o) - 4*z(o). Solve n(a) = 0 for a.
-1, -1/4, 0
Let l(j) be the second derivative of -j**4/90 + j**3/45 - 16*j. Factor l(x).
-2*x*(x - 1)/15
Let p(x) be the first derivative of -x**3/2 - 3*x**2 - 6*x - 2. Determine r so that p(r) = 0.
-2
Let o be 2*3 - 308/56. Let 0*m**3 + 0*m - 1/2*m**4 + m**2 - o = 0. Calculate m.
-1, 1
Let w(o) be the third derivative of -1/20*o**5 + 1/70*o**7 + 0*o**3 + 1/120*o**6 - 1/12*o**4 + 5*o**2 + 0 + 1/336*o**8 + 0*o. Factor w(i).
i*(i - 1)*(i + 1)**2*(i + 2)
Suppose 5*s - 6 = -4*c + 7, 0 = c + 3*s - 5. Let x(b) be the third derivative of 0*b**4 + 0 + 2*b**c - 1/150*b**5 + 1/15*b**3 + 0*b. Solve x(u) = 0.
-1, 1
Let l be (2 - (-14)/(-6))*-9. Let k = -1 - -1. Factor g + k*g + g**3 - 2*g**l.
-g*(g - 1)*(g + 1)
Factor -114 - 106 + 26*l - l**2 + 51.
-(l - 13)**2
Let r(n) be the third derivative of n**5/90 - n**4/12 + 2*n**3/9 + 6*n**2. Find x, given that r(x) = 0.
1, 2
Let g(t) be the first derivative of 3*t**6 + 3/2*t**2 - 3*t**3 + 4 + 0*t + 21/5*t**5 - 9/4*t**4. What is z in g(z) = 0?
-1, 0, 1/3, 1/2
Let k = -4378/5 + 876. What is f in 1/5*f + 1/5*f**3 + 0 + k*f**2 = 0?
-1, 0
Let w(v) be the first derivative of 4*v**5/5 - v**4 - 4*v**3/3 + 2*v**2 - 1. Suppose w(b) = 0. Calculate b.
-1, 0, 1
Let s(m) be the third derivative of -m**5/10 - m**4/12 - 16*m**2. Factor s(w).
-2*w*(3*w + 1)
Suppose -a - 4*a - 30 = 0. Let q = 10 + a. Let 0 - 2/3*y**2 + 1/3*y**3 + 8/3*y**q + 0*y + 5/3*y**5 = 0. What is y?
-1, 0, 2/5
Let k(p) be the first derivative of -2*p**5/15 - 23*p**4/42 - 6*p**3/7 - 13*p**2/21 - 4*p/21 - 1. Solve k(r) = 