uppose k(v) = 0. What is v?
-5, 2
Let z(a) be the third derivative of 8/45*a**4 + 2/225*a**6 + 0*a + 16/45*a**3 + 1/1575*a**7 + 0 - a**2 + 4/75*a**5. Factor z(i).
2*(i + 2)**4/15
Suppose 5*z + 20 = 5*x - 15, 3*x - 25 = 5*z. Let -2*a + 2*a**2 + 2 - 4*a**2 - 2*a**2 - 2*a**x + 4*a**3 + 2*a**4 = 0. What is a?
-1, 1
Let i(k) = 16*k**2 - 43*k + 41. Let o(x) = -8*x**2 + 21*x - 21. Let j(b) = -3*i(b) - 5*o(b). Let j(v) = 0. Calculate v.
3/2
Let s = -281/3 - -94. Factor -s*m**3 + 0*m**2 + 1/3*m + 0.
-m*(m - 1)*(m + 1)/3
Let l = -419 - -12571/30. Let c(j) be the second derivative of j + l*j**4 + 0*j**3 + 0*j**2 + 0. Factor c(b).
2*b**2/5
Suppose 0 = m - g - 4, -g - 2 = -2*m + 2. Suppose -3*p = -p + 2*w - 4, m = 4*w + 4. Determine q so that 1/4 - 1/4*q**2 - 1/4*q**p + 1/4*q = 0.
-1, 1
Let h(u) be the first derivative of u**7/2100 + u**3 - 1. Let x(v) be the third derivative of h(v). Find y, given that x(y) = 0.
0
Let w = 904/1209 + 2/93. Solve -w*g**3 - 6/13*g**4 + 0 + 0*g - 4/13*g**2 = 0 for g.
-1, -2/3, 0
What is g in -2/7 - 4/7*g - 2/7*g**2 = 0?
-1
Factor 5*f**3 - 243*f**2 + 126*f**2 + 127*f**2.
5*f**2*(f + 2)
Let d(h) be the first derivative of -9/2*h - 3/2*h**2 - 1/6*h**3 - 2. Factor d(x).
-(x + 3)**2/2
Suppose 4*p + 0*w - 2*w + 11352 = 0, 3*w = 4*p + 11348. Let c be 12/42 - p/7. Factor 392*i**4 - 686/5*i**5 - c*i**3 + 16/5 - 40*i + 188*i**2.
-2*(i - 1)**2*(7*i - 2)**3/5
Let t be (-20)/(-11) + 4/22. Factor 0*w + 3/5*w**3 + 0 - 6/5*w**t.
3*w**2*(w - 2)/5
Let p be (6 - 1) + (-10)/(150/65). Determine y so that 6 + p*y**2 - 4*y = 0.
3
Let i(x) be the first derivative of 14*x**3/15 - 2*x**2/5 + 4. Determine j, given that i(j) = 0.
0, 2/7
Let h(x) be the first derivative of x**6/6 + x**5/5 - x**4/4 - x**3/3 - 4. Factor h(n).
n**2*(n - 1)*(n + 1)**2
Let w(o) be the first derivative of -2*o**5/5 - 3*o**4/4 + o**2/2 - 1. Factor w(s).
-s*(s + 1)**2*(2*s - 1)
Let u be (-45 - -50) + 1*(-2)/1. Factor 2/5*q**u - 2/5*q + 4/5 - 4/5*q**2.
2*(q - 2)*(q - 1)*(q + 1)/5
Let f(d) be the second derivative of -d**7/231 + 3*d**5/110 - d**4/33 - 5*d. Factor f(r).
-2*r**2*(r - 1)**2*(r + 2)/11
Let l(s) be the first derivative of -3*s**4/4 + 6*s**3 - 33*s**2/2 + 18*s + 7. Suppose l(r) = 0. Calculate r.
1, 2, 3
Let l = 31 - 31. Let o(y) be the third derivative of 1/36*y**4 + 0*y + 0 - y**2 + 1/180*y**6 + l*y**3 + 1/45*y**5. Factor o(f).
2*f*(f + 1)**2/3
Let d(f) = 2 + 7*f**2 - 3*f - 6 - 8*f + 3. Let u(z) = 3*z**2 - 5*z. Let y(p) = -4*d(p) + 10*u(p). Determine v so that y(v) = 0.
1, 2
Let j(u) = -u**2 + 22*u. Let y be j(22). Let v(o) be the second derivative of y - 1/2*o**2 - 1/2*o**4 - 11/12*o**3 + 2*o. Factor v(l).
-(3*l + 2)*(4*l + 1)/2
Let h(w) be the third derivative of w**7/945 + w**6/90 + 2*w**5/45 + 2*w**4/27 - 2*w**2. Let h(a) = 0. What is a?
-2, 0
Let j(a) = -5*a + 13. Let y be j(8). Let d = y + 30. Factor 0 + 1/2*l - 1/4*l**2 - 1/4*l**d.
-l*(l - 1)*(l + 2)/4
Suppose 11/8*r**3 + 0 - 1/4*r**4 - 13/8*r**2 + 1/2*r = 0. What is r?
0, 1/2, 1, 4
Suppose 0 = 7*j - 2*j. Let d(x) be the third derivative of 0*x**4 + 0*x**3 - 1/210*x**5 - 1/210*x**6 - 1/735*x**7 + j*x + x**2 + 0. Factor d(c).
-2*c**2*(c + 1)**2/7
Let p(u) be the first derivative of u**6/3 + 2*u**5/5 - u**4/2 - 2*u**3/3 + 10. Find t such that p(t) = 0.
-1, 0, 1
Let r(n) be the third derivative of n**6/280 - n**5/140 + 4*n**2. Factor r(x).
3*x**2*(x - 1)/7
Let a = 14 - 14. Let h(m) be the first derivative of a*m - 1/3*m**2 + 1 - 8/9*m**3. Factor h(k).
-2*k*(4*k + 1)/3
Factor -2/3*r**3 + 32/3 - 16*r + 6*r**2.
-2*(r - 4)**2*(r - 1)/3
Suppose -2*j - j + 16 = 5*r, 3*r + 2*j - 10 = 0. Let z = 0 + 7. Find v such that -r*v**2 - 5*v + z*v + 2*v = 0.
0, 2
Let l = 106 - 317/3. Factor 0*s + 0*s**3 + 0 - 1/3*s**4 + l*s**2.
-s**2*(s - 1)*(s + 1)/3
Find o such that -3/2*o**4 + 2*o**2 + 0*o + 0 + 0*o**3 + 1/2*o**5 = 0.
-1, 0, 2
Suppose -14*h + 104 = 12*h. Solve -1/2*d + 1/4*d**h + 1/2*d**3 - 1/4 + 0*d**2 = 0 for d.
-1, 1
Let 0 - 4*s**2 - 20/7*s**4 + 4/7*s**5 + 8/7*s + 36/7*s**3 = 0. Calculate s.
0, 1, 2
Let a(r) = r - 6. Let y(o) = -o**2 - 8*o - 7. Let c be y(-5). Let s be a(c). Factor 7*j**s + 7*j**2 - j + 7*j.
2*j*(7*j + 3)
Let g be (-14)/8 + (-2)/(-1). Suppose 67*n = 61*n + 18. Solve g*l - 1/4*l**2 + 1/4 - 1/4*l**n = 0 for l.
-1, 1
Determine h, given that -3/2*h + 1 + 1/2*h**2 = 0.
1, 2
Suppose -m - 2*y - 24 = -6*m, 8 = -4*y. Let l(x) be the second derivative of 1/3*x**3 + 0 - 1/6*x**m - 2*x + 0*x**2. What is t in l(t) = 0?
0, 1
Let z(x) be the second derivative of x**5/20 + x**4/6 - x**3/6 - x**2 + 17*x. What is u in z(u) = 0?
-2, -1, 1
Let r(d) = -d**2 + 1. Let j(y) = y**2 + y. Let m(p) = 3*j(p) + 4*r(p). Let m(z) = 0. What is z?
-1, 4
Let n(h) be the first derivative of -2/5*h**2 - 2/15*h**3 + 0*h + 1/10*h**4 + 1. Suppose n(t) = 0. What is t?
-1, 0, 2
Suppose 10 = -h + 2*h. Let d(u) = -15*u**3 + 21*u**2 + 3*u. Let y(q) = -8*q**3 + 11*q**2 + q. Let m(g) = h*y(g) - 6*d(g). Factor m(n).
2*n*(n - 2)*(5*n + 2)
Let c(m) be the second derivative of -m**4/42 - 2*m**3/21 - 4*m. Factor c(z).
-2*z*(z + 2)/7
Let t = 405 - 405. Suppose -2*k + 2 = -2. Factor t + 2/9*m**k + 2/9*m.
2*m*(m + 1)/9
Let r(j) be the first derivative of -j**6/6 - j**5/5 + j**4 + 4*j**3/3 - 29. Factor r(w).
-w**2*(w - 2)*(w + 1)*(w + 2)
Factor -w**2 + 0 - 1/3*w**3 - 2/3*w.
-w*(w + 1)*(w + 2)/3
Let j be 3*(-4)/(-72)*2. Let t(h) be the second derivative of 0*h**2 - 1/40*h**5 + h - 1/6*h**4 + 0 - j*h**3. Factor t(b).
-b*(b + 2)**2/2
Suppose 0 = g - 9 + 7. Let h(y) be the second derivative of -1/20*y**5 - 2*y + 0*y**4 + y**g + 1/2*y**3 + 0. Factor h(k).
-(k - 2)*(k + 1)**2
Let a(p) be the first derivative of 2*p**3/15 + 4*p**2/5 + 6*p/5 + 14. Find o such that a(o) = 0.
-3, -1
Let v(a) = -27*a - 78. Let s be v(-3). Factor 0 + 8/7*k - 49*k**4 - 12*k**2 + 42*k**s.
-k*(7*k - 2)**3/7
Let u = 19/6 + -11/6. Determine r, given that -u*r**2 + 2/3 + 2/3*r = 0.
-1/2, 1
Factor 2/17*t**2 - 4/17*t**3 + 0 + 0*t.
-2*t**2*(2*t - 1)/17
Let l = 8 + 2. Let v = -5 + l. Factor 0*r + 0 + 2/3*r**v + 2*r**3 - 2*r**4 - 2/3*r**2.
2*r**2*(r - 1)**3/3
Let v(i) = 7 + 4*i - 7*i + i + i. Let f be v(3). Factor 0 - 8/5*k**3 + 2/5*k**2 + 0*k - 4/5*k**5 + 2*k**f.
-2*k**2*(k - 1)**2*(2*k - 1)/5
Let p(q) be the second derivative of -1/6*q**4 + 2*q + 0 + 2/3*q**3 + 0*q**2. Solve p(x) = 0 for x.
0, 2
Let n(c) be the second derivative of -3*c - 1/20*c**5 + 0 + 1/30*c**6 + 0*c**4 + 0*c**2 + 0*c**3. Determine x, given that n(x) = 0.
0, 1
Let v(y) be the second derivative of y**5/20 + y**4/12 - y**3/3 + 9*y. Suppose v(z) = 0. What is z?
-2, 0, 1
Factor 38*r - 1052*r - 1256 + 32*r**2 + 46*r**2 - 2*r**3 + 5650.
-2*(r - 13)**3
Let n(z) = z - 6. Let k be n(8). Factor -3*i**4 + k*i**4 + 4*i**3 - 3*i**4 + 2*i**4.
-2*i**3*(i - 2)
Factor -6/13*f**4 + 4/13*f**2 + 0 - 10/13*f**3 + 0*f.
-2*f**2*(f + 2)*(3*f - 1)/13
Let h(j) be the second derivative of j**4/42 - j**3/21 - 7*j. Factor h(n).
2*n*(n - 1)/7
Let i(t) = 6*t**3 - 4*t**2 - 6*t. Let u(y) = y**3 - y**2 - y. Let q(b) = -i(b) + 4*u(b). Factor q(g).
-2*g*(g - 1)*(g + 1)
Let h(x) be the first derivative of 2*x**7/21 - 4*x**6/5 + 13*x**5/5 - 4*x**4 + 8*x**3/3 - 8*x + 2. Let o(r) be the first derivative of h(r). Factor o(b).
4*b*(b - 2)**2*(b - 1)**2
Let x(p) be the third derivative of p**7/70 - p**6/40 - 3*p**5/20 + p**4/8 + p**3 - 3*p**2. Find i such that x(i) = 0.
-1, 1, 2
Factor -64*v + 16 + 81*v + 4 - 37*v + 5*v**2.
5*(v - 2)**2
Let p(c) = c**3 - 9*c**2 + 6*c - 5. Let w be p(5). Let v be 35/w + 4/6. Solve -1/5*b + 0 - 2/5*b**2 - v*b**3 = 0 for b.
-1, 0
Suppose -5*z = -0*z - 10. Let a(i) = i**3 + 11*i**2 + 11*i + 13. Let w be a(-10). Solve 0 + 4/9*j**w + 0*j**z + 10/9*j**4 - 14/9*j**5 + 0*j = 0 for j.
-2/7, 0, 1
Let l = 5 - 3. Factor 1 + 5*a**2 - l - 4*a**2.
(a - 1)*(a + 1)
Suppose 3*b = 2*h + 4, 4*h = 2*b - 0*b + 8. Suppose -b*q = q - 10. Solve 3*y + 3*y**2 - 1 - 2*y**q + 3 = 0 for y.
-2, -1
Let x(n) = 23*n**2 - 48*n + 59. Let m(u) = 8*u**2 - 16*u + 20. Let g(y) = -11*m(y) + 4*x(y). Suppose g(p) = 0. Calculate p.
2
Let k(h) be the first derivative of h**6/3 + 2*h**5/5 - h**4 - 5. Factor k(z).
2*z**3*(z - 1)*(z + 2)
Let f(v) = -v**3 - v**2 + v + 1. Let m(d) = -5*d**3 - d**2 + d + 1. Let s(y) = -f(y) + m(y). Factor s(b).
-4*b**3
Factor 3*n**5 - 200*n - 6*n**4 + 3