0*t**6 + 0 - 1/60*t**5 + 1/18*t**3 + 4*t + 1/108*t**4 - 1/9*t**2. Determine w so that g(w) = 0.
-1, 1, 2
Let j(f) be the third derivative of -2*f**7/315 - 2*f**6/45 - f**5/15 - f**2 + 10. Find v, given that j(v) = 0.
-3, -1, 0
Let v = -92 - -94. Solve 0*h + 3/4*h**3 + 0 + 3/4*h**v = 0 for h.
-1, 0
Let a be (-2)/15 + 11985/17325. Let p = -3/11 + a. Factor 2/7*k**3 - p*k + 0*k**2 + 0.
2*k*(k - 1)*(k + 1)/7
Let l(y) be the second derivative of -5/3*y**3 + 0 + 15/2*y**2 - 5/12*y**4 + 12*y. Factor l(a).
-5*(a - 1)*(a + 3)
Find x such that 39/4*x + 5/2 - 3/4*x**3 + 13/2*x**2 = 0.
-1, -1/3, 10
Let w(o) be the first derivative of -30 + 2*o**2 + 16/3*o + 2/9*o**3. Factor w(s).
2*(s + 2)*(s + 4)/3
Suppose 24 = 128*y - 120*y. Let n(z) be the second derivative of 0 - 1/10*z**5 + 0*z**2 - 4*z + 4/15*z**y + 4/15*z**4. Factor n(j).
-2*j*(j - 2)*(5*j + 2)/5
Let s = -2700 - -2702. Determine b, given that 16/3*b + 4/3*b**s + 16/3 = 0.
-2
Let p(i) = -i**5 - 6*i**4 + 10*i**2 - 3*i. Let z(m) = -3*m**5 - 12*m**4 + 21*m**2 - 6*m. Let o(k) = 9*p(k) - 4*z(k). Find u, given that o(u) = 0.
-1, 0, 1
Factor 17/8*g + 21/2 - 1/8*g**2.
-(g - 21)*(g + 4)/8
Let r be (2 + 11 - 0) + 666/(-54). Factor r*x**2 + 1/3*x**5 + 4/3*x**4 + 0 + 5/3*x**3 + 0*x.
x**2*(x + 1)**2*(x + 2)/3
Suppose -5*z = v - 16, -1 + 0 = z - 4*v. Let f(k) be the second derivative of 6*k + 3/5*k**5 + 2*k**z + 0 - 3/2*k**2 - 1/10*k**6 - 3/2*k**4. Factor f(s).
-3*(s - 1)**4
Suppose -4*a + x = -3*x - 8, 8 = 4*a - x. Let -4 - 4*q - q**5 - 3*q**5 - 4*q**4 - 8*q**2 + 16*q**a + 8*q**3 = 0. What is q?
-1, 1
Let b(w) = 12*w**4 - 28*w**3 - 28*w**2 + 12*w + 3. Let f(i) = 1. Let y(r) = 1. Let k(s) = -6*f(s) + 5*y(s). Let t(u) = -b(u) - 3*k(u). Factor t(v).
-4*v*(v - 3)*(v + 1)*(3*v - 1)
Let v(q) be the first derivative of -1/8*q**2 + 1/20*q**5 + 0*q - 1/12*q**3 + 1/16*q**4 - 7. Suppose v(g) = 0. Calculate g.
-1, 0, 1
Let u(c) = 2*c**2 - 23*c - 65. Let z be u(18). Let m = 169 - z. Factor m*i + 2/5*i**3 + 2/5*i**2 + 0.
2*i**2*(i + 1)/5
Let l = 8/13 - 109/156. Let d = l + 5/12. Factor -d*m - 1/3*m**2 + 2/3.
-(m - 1)*(m + 2)/3
Suppose 466*h - 26209 + 270*h - 5*h**2 + 14*h - 1916 = 0. What is h?
75
Let a(m) be the third derivative of 0*m + 1/8*m**4 + 13*m**2 + 0 + m**3 - 1/20*m**5. Find l, given that a(l) = 0.
-1, 2
Suppose 10 = 4*v + 2. Suppose 65*r**5 + 32 - 19*r**2 + 16*r**4 + 16*r - 21*r**2 - 69*r**5 - v*r**3 - 2*r**3 = 0. Calculate r.
-1, 2
Let a be 320/(-4320) + (-136)/(-378). Let h(m) be the first derivative of 1/14*m**4 - a*m**3 - 5 + 3/7*m**2 - 2/7*m. Suppose h(w) = 0. What is w?
1
Let x = 2341/12892 - -3/12892. Factor 18/11*y - 8/11 + x*y**3 - 12/11*y**2.
2*(y - 4)*(y - 1)**2/11
Let p(a) be the second derivative of -11*a**5/4 + 10*a**4/3 + 125*a**3/6 + 15*a**2 - 301*a. Find m, given that p(m) = 0.
-1, -3/11, 2
Determine u so that 6 + 2*u**3 + 102*u**2 + 12 - 2*u - 120*u**2 = 0.
-1, 1, 9
Let g(q) be the second derivative of q**6/40 + 3*q**5/4 + 11*q**4/8 - 195*q**3/2 + 4563*q**2/8 - 3*q + 16. Factor g(z).
3*(z - 3)**2*(z + 13)**2/4
Let l = -311 + 278. Let k be (-2 - l/12) + 19/(-76). Factor -w**2 - w**3 + k*w**4 + 1/2*w + 1/2*w**5 + 1/2.
(w - 1)**2*(w + 1)**3/2
Factor -2/7 + 2/7*z**2 + 9/7*z - 9/7*z**3.
-(z - 1)*(z + 1)*(9*z - 2)/7
Let p(f) be the second derivative of 0*f**2 + 0 - 25/4*f**5 - 3/2*f**6 + 10/3*f**3 - 5*f**4 + 14*f. Factor p(n).
-5*n*(n + 1)*(n + 2)*(9*n - 2)
Let i(u) be the second derivative of u**5/45 + u**4/18 - 8*u**3/3 + 13*u**2/2 - 43*u. Let h(w) be the first derivative of i(w). Let h(m) = 0. Calculate m.
-4, 3
Let g(i) = i + 2. Let o(y) = 2*y**3 - 9*y**2 + 15*y + 12. Let b(w) = -6*g(w) + o(w). Let b(u) = 0. What is u?
0, 3/2, 3
Let q be 6 - (12 - 3 - 5). Find h such that 2*h**q + 36*h - 48 + 22 + 2*h**2 + 58 = 0.
-8, -1
Let v(y) be the second derivative of y**7/1260 - y**6/180 - 7*y**4/6 + 13*y. Let b(r) be the third derivative of v(r). Factor b(n).
2*n*(n - 2)
Let l(r) be the second derivative of 50*r**7/21 - 12*r**6 - 127*r**5/4 - 105*r**4/4 - 25*r**3/3 + 34*r + 9. Find f, given that l(f) = 0.
-1/2, -2/5, 0, 5
Let y(z) = 7*z**2 - 99*z. Let x(n) = -36*n**2 + 492*n. Let s(j) = 3*x(j) + 16*y(j). Factor s(v).
4*v*(v - 27)
Let j(l) = -3*l**3 + 24*l**2 - 12*l - 4. Let y(p) = 2*p**2 - p. Let u(r) = j(r) - 5*y(r). Factor u(s).
-(s - 4)*(s - 1)*(3*s + 1)
Let c be 1*(1 - 4) - -4. Factor -13 - 3*p + c + 0*p + p + 2*p**2.
2*(p - 3)*(p + 2)
Suppose -3*c + 3*j = -12 - 0, 5*c - 3*j - 12 = 0. Let b(z) = -3*z - 7. Let s be b(-3). Let 3*y**2 - y**2 + 4*y + c + s = 0. Calculate y.
-1
Suppose 6*w - 37 = 71. Let v(g) = 2*g**3 + 7*g + 9. Let h(t) = t + 1. Let k(y) = w*h(y) - 2*v(y). Find l such that k(l) = 0.
-1, 0, 1
Determine d, given that -2*d**4 + 11*d**4 + 10*d**4 - 15*d**4 - 4*d**3 + 4*d - 4*d**2 = 0.
-1, 0, 1
Let y(b) be the first derivative of -b**6/48 + 27*b**5/20 - 729*b**4/32 + 22. Let y(o) = 0. Calculate o.
0, 27
Let d(s) be the first derivative of -s**3/7 - 6*s**2/7 + 63. Factor d(u).
-3*u*(u + 4)/7
Factor -1/4*a**3 + 3 + 1/4*a - 3*a**2.
-(a - 1)*(a + 1)*(a + 12)/4
Let n = -496 - -500. Let v(u) be the third derivative of 7*u**2 + 0*u + 0 - 1/48*u**n - 1/240*u**5 - 1/24*u**3. Suppose v(f) = 0. Calculate f.
-1
Let n(u) = -u**2 - 2*u. Let m(v) = -6*v**2 - 46*v + 256. Let l(w) = -5*m(w) + 35*n(w). Factor l(h).
-5*(h - 16)**2
Suppose -2*x - 5 = -l, 0 = -4*l + x - 7 + 27. Solve 15*v**4 - 30*v**2 + l*v**4 + 2*v**5 + 72*v**3 + 54*v + 138*v**2 = 0.
-3, -1, 0
Let q(r) be the third derivative of r**8/336 - r**7/14 + 13*r**6/40 - 37*r**5/60 + r**4/2 + 122*r**2. Solve q(s) = 0 for s.
0, 1, 12
Let n(m) = -4*m**3 + 10*m**2 + 2*m - 14. Let j(s) = -s**4 + 8*s**3 - 21*s**2 - 3*s + 32. Let l(p) = -2*j(p) - 5*n(p). Solve l(x) = 0 for x.
-3, -1, 1
Suppose -q = q + 19*q. Let f(i) be the third derivative of 1/90*i**5 - 1/9*i**4 + 10*i**2 + 1/3*i**3 + 0*i + q. Factor f(w).
2*(w - 3)*(w - 1)/3
Find x, given that -5*x**4 - 2*x**5 + 11*x**4 - 16*x**4 - 6*x**3 - 8*x**2 - 10*x**3 = 0.
-2, -1, 0
Determine n so that -55*n + 2*n - 33*n**2 + n**4 + 8*n + 13*n**3 = 0.
-15, -1, 0, 3
Let d(k) be the second derivative of 2/3*k**4 + 11*k + 0*k**5 - 2/3*k**3 + 0*k**2 + 2/21*k**7 - 4/15*k**6 + 0. Determine q, given that d(q) = 0.
-1, 0, 1
Let g(k) be the first derivative of -2*k**5/5 - 5*k**4 - 32*k**3/3 + 64. Let g(p) = 0. Calculate p.
-8, -2, 0
Let d = -7 - -8. Factor -i**2 + 4*i - i - i - d.
-(i - 1)**2
Factor -64*d**2 - 2 - 14 + 0 - 58*d - 37*d**3 - 10*d**4 + 6*d - d**5.
-(d + 1)**2*(d + 2)**2*(d + 4)
Let n(a) be the first derivative of -5*a**3/3 - 30*a**2 + 135. Factor n(o).
-5*o*(o + 12)
Suppose -142*r**4 - 24*r**5 - 46 - 202*r**3 + 99 - 66*r**2 - 45 + 26*r = 0. Calculate r.
-4, -1, -1/4, 1/3
Let h = 99 + -282. Let x = -1097/6 - h. Solve a - 5/6*a**2 - x = 0.
1/5, 1
Suppose 2*m - 12 = -8. Let h(t) be the first derivative of 6 - 3*t**m + 2/3*t**3 + 4*t. Factor h(z).
2*(z - 2)*(z - 1)
Let j(o) = -o**2 - 1. Let f = -13 + 8. Let n(z) = 3*z**2 + z**2 - z + 7*z - 2 - 6*z**2. Let g(u) = f*j(u) + n(u). Factor g(q).
3*(q + 1)**2
Suppose q + 4 + 5 = 2*h, 3 = -h - 2*q. Factor -h*s**4 - s**5 + 3*s**3 + 8*s**3 - 13*s**3.
-s**3*(s + 1)*(s + 2)
Let f = -77 + 80. Solve 20*o**4 - 15*o**f - 5*o**5 + 17 - 17 = 0.
0, 1, 3
Let u = -46 + 140/3. Suppose 0 = 14*j - 8*j - 18. Solve -2/3*m**j + 2/3*m - u*m**2 + 0 + 2/3*m**4 = 0.
-1, 0, 1
Let h(u) be the third derivative of -u**6/720 + 7*u**5/180 - 5*u**4/12 + 2*u**3 - 30*u**2. Determine j so that h(j) = 0.
2, 6
Let h = 24991/40 + -1874/3. Let f(v) be the third derivative of 3*v**2 + 1/75*v**5 - h*v**4 + 0*v + 1/10*v**3 + 0. Factor f(n).
(n - 3)*(4*n - 1)/5
Suppose 22*u - 3 = 21*u - 2*k, 3*u - 2*k = 9. What is z in 0*z - 2/15*z**2 - 2/15*z**u + 0 = 0?
-1, 0
Let p be (-35)/25 - -2 - ((-152)/20 - -8). Factor 1/5*q + 0 + p*q**2.
q*(q + 1)/5
Let q(v) be the third derivative of -v**7/70 + 7*v**6/180 + v**5/15 + 31*v**4/24 - 4*v**2. Let f(g) be the second derivative of q(g). Factor f(s).
-4*(s - 1)*(9*s + 2)
Let s = -11 + 31. Determine o so that -60*o**2 + 103*o**3 + o**4 - s*o - 158*o**3 - 16*o**4 = 0.
-2, -1, -2/3, 0
Let p be 17/(-17)*(2 + -1). Let u(w) = 8*w**3 - 8*w**2 - 16*w + 12. Let t(q) = q**3 - q + 1. Let z(g) = p*u(g) + 12*t(g). Factor z(c).
4*c*(c + 1)**2
Suppose -7 = 6*p - 13*p. Factor -9*a**3 - 11*a**3