4*k**4 + 2/35*k**5 - 4/21*k**3 + 0*k**2 + 2. Determine a so that f(a) = 0.
-1, 0, 2
Let z(u) = -u**3 + 2*u**2 + 4. Let b be z(3). Let h = b - -7. Determine y, given that -y**2 - y**3 + 3*y**h - 3*y**3 + 2*y**4 = 0.
0, 1
Let t(z) be the third derivative of -3*z**2 - 1/150*z**5 + 0*z + 2/15*z**3 - 1/60*z**4 + 0. Factor t(n).
-2*(n - 1)*(n + 2)/5
Determine i, given that -24*i**3 - 3/2*i**5 + 21/2*i**4 + 0*i + 0 + 18*i**2 = 0.
0, 2, 3
Suppose h - 6*h + 15 = 0. Let t be (-1*h)/((-3)/3). Solve -t*r + 2*r**2 + 3*r - r - r = 0.
0, 1
Suppose -z + 4 = 4*t - 1, 14 = t - 4*z. Let l be 12/(-15) + 12/15. What is n in t*n**4 + 0*n**4 + l*n**4 = 0?
0
Let b be 6*3/(-81) + (-2)/(-3). Determine t, given that -2/9*t + 0 + 0*t**3 + 2/9*t**5 + b*t**4 - 4/9*t**2 = 0.
-1, 0, 1
Let -2/3*v**3 + 0*v + 0 - v**5 + 0*v**2 - 5/3*v**4 = 0. Calculate v.
-1, -2/3, 0
Let c = 95/252 - 8/63. Factor -5/4*h**3 + 1/2 + c*h**4 + 9/4*h**2 - 7/4*h.
(h - 2)*(h - 1)**3/4
Let b(g) be the first derivative of 5*g**6/6 + 2*g**5 - 15*g**4/4 - 40*g**3/3 - 10*g**2 + 15. Let b(x) = 0. What is x?
-2, -1, 0, 2
Let s(t) = -22*t**3 - 60*t**2 - 2*t - 14. Let i(n) = -n**3 + n**2 + n + 1. Let z(w) = 28*i(w) + 2*s(w). Suppose z(g) = 0. Calculate g.
-3/2, 0, 2/9
Let k(d) be the second derivative of -d**4/3 - 16*d**3/3 - 32*d**2 - 29*d. Factor k(o).
-4*(o + 4)**2
Let a be 0*3/6*1. Let j be -1 + (a + 9)/3. Factor 4 - 4 + q**4 + 3*q**3 + 0*q**3 + j*q**2.
q**2*(q + 1)*(q + 2)
Let w be (-4)/((-1)/1) + 16 + -18. Factor 1/2 - r**w + 0*r + 1/2*r**4 + 0*r**3.
(r - 1)**2*(r + 1)**2/2
Let r(k) = 45*k**3 - 60*k**2 + 25*k + 80. Let f(x) = 11*x**3 - 15*x**2 + 6*x + 20. Let h(t) = 25*f(t) - 6*r(t). Determine u, given that h(u) = 0.
-1, 2
Let l(d) be the first derivative of -d**5/12 + 7*d**4/24 - d**3/3 + d**2 - 3. Let k(a) be the second derivative of l(a). Factor k(g).
-(g - 1)*(5*g - 2)
Suppose -4*y + 10 = -2*t, 2*y - t = -6*t - 1. Suppose y*n - n + 5*b - 16 = 0, 5*n = b + 2. Solve 0*w - n - 4*w - w + w - 3*w**2 = 0 for w.
-1, -1/3
Let z(x) = -125*x**3 + 149*x**2 + 179*x + 40. Let l(k) = -k**2 - k. Let h(a) = -l(a) + z(a). Factor h(g).
-5*(g - 2)*(5*g + 2)**2
Let x(p) = 5*p**2 - 1. Let q(z) = -11*z**2 + 1. Let w(d) = 2*q(d) + 5*x(d). Factor w(f).
3*(f - 1)*(f + 1)
Let u(l) be the second derivative of 0 - 1/2*l**4 + 0*l**2 + 3/20*l**5 + 2*l + 1/2*l**3. Factor u(v).
3*v*(v - 1)**2
Let n(i) = 4*i**3 + 4*i**2. Let a(j) = -j**3 - j**2 - j - 1. Let x(h) = 2*a(h) + n(h). Factor x(p).
2*(p - 1)*(p + 1)**2
Suppose -2*x = -n + 7 - 11, -4*n = 2*x - 4. Find i such that 0 - 2*i**3 - 2/3*i**4 + n*i - 4/3*i**2 = 0.
-2, -1, 0
Let q(u) be the second derivative of -35*u**6/2 - 27*u**5/2 + 3*u**4 + 4*u**3 - 7*u. Factor q(t).
-3*t*(5*t + 2)**2*(7*t - 2)
Determine o, given that 56/3*o**4 + 98/3*o**5 + 0*o**2 + 8/3*o**3 + 0*o + 0 = 0.
-2/7, 0
Let r(l) be the second derivative of l**6/600 - 3*l**5/200 + l**4/20 + 7*l**3/6 + 4*l. Let y(z) be the second derivative of r(z). Factor y(a).
3*(a - 2)*(a - 1)/5
Let r be ((-8)/(-10))/(8/20). Suppose q + q - 2 = 0. Factor -2 + 0 + 2*b**r - b**4 + q.
-(b - 1)**2*(b + 1)**2
Let k(u) = 4*u**4 - 7*u**3 + 5*u**2 + 7*u + 1. Let q(c) = -c**4 + c**3 - c**2 - c. Let t(o) = -k(o) - 5*q(o). Factor t(y).
(y - 1)*(y + 1)**3
Let n(f) be the third derivative of 0 - 1/270*f**5 + f**2 - 1/108*f**4 + 0*f + 0*f**3. Let n(q) = 0. Calculate q.
-1, 0
Let c(g) be the second derivative of -g**5/30 - g**4/18 + 2*g**3/9 - 20*g. Factor c(l).
-2*l*(l - 1)*(l + 2)/3
Let d be 2/4 + (-14)/(-4). Suppose -2*i + 1 = -n - 3, -d*n = i - 2. Determine a, given that 0*a - 1/4*a**3 + 1/4*a**i + 0 = 0.
0, 1
Let q(y) be the third derivative of 0*y**3 - y**2 - 1/84*y**4 + 0*y**6 + 1/1176*y**8 + 0*y + 1/105*y**5 + 0 - 2/735*y**7. Factor q(k).
2*k*(k - 1)**3*(k + 1)/7
Let i(s) = s + 6. Let n be i(-6). Let l = 2082/3619 + -2/517. Determine g, given that l*g**2 + 2/7*g**3 + n + 2/7*g = 0.
-1, 0
Let y = -4 - -2. Let n be 5 + (-6)/(1 - y). Factor -n*f + 4*f - 3*f + 5*f**2 + 2*f**3 - 5*f**4.
-f*(f - 1)*(f + 1)*(5*f - 2)
Let r = 1 + 33. Factor 2*n**2 + 2*n + r - 34.
2*n*(n + 1)
Factor 0 + 0*f**2 + 2/5*f - 2/5*f**3.
-2*f*(f - 1)*(f + 1)/5
Let z = 22 - 20. Let o(v) be the first derivative of 4*v**4 - 8*v**z - 1 + 10*v**3 - 32/5*v**5 + 2*v. What is j in o(j) = 0?
-1, 1/4, 1
Let v(o) be the first derivative of -o**6/8 + 3*o**5/20 + 3*o**4/16 - o**3/4 - 4. Factor v(c).
-3*c**2*(c - 1)**2*(c + 1)/4
Let b(f) be the third derivative of -f**8/1344 + f**7/105 - f**6/80 - f**5/6 - 25*f**4/96 + 70*f**2. Suppose b(j) = 0. Calculate j.
-1, 0, 5
Suppose -5*o = 3*k - 9, -4*k + 12 = -0*k. Factor -2/3*r**2 + o + 7/3*r**3 + 0*r.
r**2*(7*r - 2)/3
Let q = -21 - -24. Let p be q/1*(0 + 1). Factor 0 + 0*f - f**5 + 1/3*f**2 + 7/3*f**4 - 5/3*f**p.
-f**2*(f - 1)**2*(3*f - 1)/3
Suppose 2*c = 14 - 4. Let f(s) = -2*s**2 - 10*s + 12. Let q(k) = k**2 + 4*k - 5. Let r = -4 + 16. Let o(h) = c*f(h) + r*q(h). Suppose o(a) = 0. What is a?
0, 1
Let u(g) be the second derivative of -3*g**5/100 + g**4/10 + g**3/10 - 3*g**2/5 + 7*g. What is i in u(i) = 0?
-1, 1, 2
Let w = 31/48 + 1/48. Determine z, given that -w*z**2 + 2/3 + 5/3*z - 5/3*z**3 = 0.
-1, -2/5, 1
Suppose 0 = 5*g + 15*f - 19*f - 14, 5*f + 7 = g. Suppose 1/2*l**3 + 0 - 1/2*l + 0*l**g = 0. Calculate l.
-1, 0, 1
Let s(x) be the second derivative of x**4/6 - 10*x**3/3 + 25*x**2 - 9*x. Find l such that s(l) = 0.
5
Let k(n) be the third derivative of -n**5/600 + n**4/120 - n**3/60 + 14*n**2. Determine h so that k(h) = 0.
1
Let y(d) = 26*d**3 + 4*d**2 - 70*d + 24. Let z(w) = 5*w**3 + w**2 - 14*w + 5. Let c(v) = 3*y(v) - 16*z(v). Factor c(m).
-2*(m - 1)**2*(m + 4)
Let k = 7 - 37. Let v = -28 - k. Factor 5/4*l - 1/2 - 1/2*l**v.
-(l - 2)*(2*l - 1)/4
Let d = -2/583 + 593/2915. Factor -2/5*q**2 + d*q + 0.
-q*(2*q - 1)/5
Let z(d) be the second derivative of -1/30*d**3 + 2*d + 1/100*d**5 + 0 + 0*d**2 + 1/150*d**6 - 1/60*d**4. Factor z(k).
k*(k - 1)*(k + 1)**2/5
Let a(q) be the second derivative of 1/210*q**7 - 2/15*q**3 + 0 + q - 1/15*q**4 + 2/75*q**6 + 0*q**2 + 3/100*q**5. Solve a(s) = 0 for s.
-2, -1, 0, 1
Let u(i) be the first derivative of -i**7/315 + i**6/180 + i**5/90 - i**4/36 + i**2/2 + 7. Let m(h) be the second derivative of u(h). Factor m(w).
-2*w*(w - 1)**2*(w + 1)/3
Factor -100/11*z**3 + 4/11 + 80/11*z**2 - 30/11*z - 14/11*z**5 + 60/11*z**4.
-2*(z - 1)**4*(7*z - 2)/11
Suppose 4*z - d = d + 38, -2*d + 17 = z. Let i be (12 - z)*(3 + -1). Suppose 0 + 2/3*f - 2/3*f**i = 0. What is f?
0, 1
Let z = 3/22 - 17/165. Let a(u) be the third derivative of 11/60*u**5 + 1/12*u**4 + u**2 + 0 + 0*u + z*u**7 + 2/15*u**6 + 0*u**3. Factor a(p).
p*(p + 1)**2*(7*p + 2)
Let l(c) be the first derivative of -2*c**5/5 - 3*c**4/2 - 2*c**3 - c**2 + 3. Factor l(s).
-2*s*(s + 1)**3
Let x(f) be the third derivative of -f**7/6300 - f**6/900 - f**4/12 + f**2. Let j(a) be the second derivative of x(a). Suppose j(u) = 0. Calculate u.
-2, 0
Let t be (1 - 2)/((-1)/1). Find j, given that -2*j**2 - t + 6 - 2 + 4*j - 5 = 0.
1
Let g(v) be the second derivative of -1/10*v**2 + 0 + 3*v + 1/150*v**6 + 0*v**4 + 1/15*v**3 - 1/50*v**5. Find m, given that g(m) = 0.
-1, 1
Let b(h) be the third derivative of -h**7/70 - 17*h**6/120 - 7*h**5/20 + 3*h**4/8 - 12*h**2. Find v such that b(v) = 0.
-3, 0, 1/3
Find h such that -44/5*h + 242/5 + 2/5*h**2 = 0.
11
Suppose -3*i + 7*i = 12. Let d(k) be the first derivative of 2 - 4/5*k - 3/5*k**2 - 2/15*k**i. Determine c, given that d(c) = 0.
-2, -1
Let o(g) be the third derivative of g**6/1260 - g**5/210 - 2*g**3/3 + g**2. Let u(y) be the first derivative of o(y). Solve u(q) = 0 for q.
0, 2
Let r(s) be the first derivative of -s**3/15 + 3*s**2/10 - 2*s/5 + 1. Solve r(j) = 0 for j.
1, 2
What is m in 0 - 4/5*m**4 - 4/5*m**5 + 0*m + 8/5*m**3 + 0*m**2 = 0?
-2, 0, 1
Let i = 59 - 56. Let u(a) be the third derivative of 1/3*a**3 + 0*a - 1/24*a**4 + 0 - 1/60*a**5 + i*a**2. Factor u(y).
-(y - 1)*(y + 2)
Let a = -614 - -1229/2. Find m such that -9/8*m**2 - 2*m + a = 0.
-2, 2/9
Let y(x) be the second derivative of -x**6/10 - 35*x. Factor y(b).
-3*b**4
Let j(d) be the third derivative of -d**8/80640 - d**7/20160 - d**5/30 - d**2. Let m(t) be the third derivative of j(t). Factor m(x).
-x*(x + 1)/4
Let 4*u - 2 - 2*u**2 + 1 + 1 = 0. Calculate u.
0, 2
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