 -4 + 10. Factor 0 + 3 - 5 + p*j**2 + 4*j**3.
2*(j + 1)**2*(2*j - 1)
Determine q, given that 75*q**3 - 35/2*q**4 - 90*q**2 + 0 + 20*q = 0.
0, 2/7, 2
Let q be ((-64)/20 - -4) + (-69)/90. Let h(w) be the third derivative of -1/21*w**7 + 0*w**3 - 2*w**2 + 0*w - q*w**5 + 0 - 3/40*w**6 + 0*w**4. Factor h(d).
-d**2*(2*d + 1)*(5*d + 2)
Let a = -3/2 - -19/12. Let w(p) be the second derivative of -3*p - 1/6*p**3 + 0 - a*p**4 + 0*p**2. Factor w(n).
-n*(n + 1)
Let c = 11 + -6. Let q = -2 + c. Find a, given that 0*a**2 - 2*a**2 + 5*a**4 + 3*a**q + 0*a**4 = 0.
-1, 0, 2/5
Let x be ((-209)/55 - -3)/(0 + -1). Solve -4/5*k**2 + 0*k**3 + x*k**4 + 2/5*k - 2/5*k**5 + 0 = 0.
-1, 0, 1
Let p(v) be the third derivative of -v**6/160 + 3*v**5/20 - 21*v**4/32 + 5*v**3/4 - 2*v**2 + 38*v. Suppose p(g) = 0. What is g?
1, 10
Let -3/4 - 3/8*w**2 + 9/8*w = 0. Calculate w.
1, 2
Let h = -2 - -4. Let -3*m - m**4 + 0 - 3*m**h + 4*m + 3*m**3 + 0 = 0. What is m?
0, 1
Let n(g) be the third derivative of g**5/60 - g**4/8 + g**3/3 - g**2. Find r, given that n(r) = 0.
1, 2
Suppose -3*v + 1 = 5*x, -2*v + 5*x + 4 = -5. Let p = 8 - 8. Factor q + p*q - v*q**2 + q**2.
-q*(q - 1)
Let o(u) be the third derivative of u**7/840 - u**6/180 + u**5/120 + u**3/2 + 3*u**2. Let z(f) be the first derivative of o(f). Factor z(d).
d*(d - 1)**2
Let n(c) be the first derivative of 4/7*c - 16/35*c**5 + c**2 + 4/7*c**3 - 2 - 1/7*c**6 - 2/7*c**4. Determine w so that n(w) = 0.
-1, -2/3, 1
Let i(j) be the third derivative of j**6/20 + j**5/20 - j**4/4 - j**3/2 - 7*j**2. Find k, given that i(k) = 0.
-1, -1/2, 1
Let u(q) be the third derivative of -q**8/560 + 3*q**7/280 - q**5/10 - q**3/3 + 4*q**2. Let j(g) be the first derivative of u(g). Factor j(f).
-3*f*(f - 2)**2*(f + 1)
Suppose o - 6*o = -3*o. Let o*a + 2/3*a**2 + 0 = 0. What is a?
0
Find i, given that -2*i + 3*i**2 + 4*i**4 - 6*i - 4*i**2 + 8*i**3 - 3*i**2 = 0.
-2, -1, 0, 1
Let s be (-22)/(-6) + -4 + 3/9. Let b(p) be the third derivative of 0*p - 1/180*p**5 + s - p**2 + 1/72*p**4 + 0*p**3. Determine i so that b(i) = 0.
0, 1
Let c(z) be the third derivative of 0*z**5 + 0*z + 0*z**3 + 0 + 4*z**2 - 1/420*z**6 + 1/84*z**4. Factor c(b).
-2*b*(b - 1)*(b + 1)/7
Factor -5*w**2 - 10*w + 12 - 9 - 3.
-5*w*(w + 2)
Let d = 0 - -5. Let c(i) be the third derivative of 1/180*i**d + 0*i**3 + 2*i**2 + 0*i + 0 + 0*i**4. Factor c(j).
j**2/3
Let c(a) = -a**2 + 7*a - 3. Let n be 27/4 - 9/12. Let s be c(n). Solve 5*b + 3*b + 3 - s + 2 + 6*b**2 = 0 for b.
-1, -1/3
Let y = -158 - -158. Let f be (-4)/10 + 13/20. Solve -t**3 - 1/2*t**4 + 1/2*t**2 + 3/4*t**5 + y + f*t = 0 for t.
-1, -1/3, 0, 1
Suppose -5*r - 1 = 2*f - 9, 2*f = -r. Let x(b) be the first derivative of 1/20*b**5 + 2 + 0*b - 1/8*b**r + 1/4*b**3 - 3/16*b**4. Factor x(o).
o*(o - 1)**3/4
Let l = -104 + 104. Factor l*k - 6/7*k**4 - 2/7*k**5 - 6/7*k**3 - 2/7*k**2 + 0.
-2*k**2*(k + 1)**3/7
Solve 1/2 + 1/2*w**2 - w = 0 for w.
1
Factor 4/9*d**2 + 0 + 0*d + 16/9*d**3 + 4/3*d**4.
4*d**2*(d + 1)*(3*d + 1)/9
Suppose 10*i**2 - 727 + 18*i - i**4 + 735 + i**2 = 0. Calculate i.
-2, -1, 4
Let v(f) be the first derivative of f**7/42 + f**6/10 + f**5/10 - f**4/6 - f**3/2 - f**2/2 - 3*f + 1. Let z(b) be the first derivative of v(b). Factor z(j).
(j - 1)*(j + 1)**4
Let o = 82/3 + -80/3. Factor 0 + 2/3*i**3 - 2/9*i**4 - o*i**2 + 2/9*i.
-2*i*(i - 1)**3/9
Let s(i) = -i**2 + 8*i - 3. Let k be s(3). Factor 14*v - k*v**2 + 5*v + v + 13*v + 9.
-3*(v - 3)*(4*v + 1)
Let m(h) be the first derivative of 2*h**3/21 + 9*h**2/7 + 16*h/7 - 8. Solve m(b) = 0.
-8, -1
Solve -33/4*l + 15/4 + 3/2*l**2 = 0.
1/2, 5
Let o(q) be the second derivative of -2*q + 0*q**2 - 1/18*q**3 + 0 + 1/18*q**4 - 1/60*q**5. Factor o(r).
-r*(r - 1)**2/3
Let f(a) = 3*a - 18. Let j be f(6). Let d = -5 - -7. Factor 2/9*o**d + j - 2/9*o.
2*o*(o - 1)/9
Let z(j) be the second derivative of j**7/5880 + 3*j**4/4 - 7*j. Let s(o) be the third derivative of z(o). Let s(i) = 0. Calculate i.
0
Let m(n) be the second derivative of -n + 0*n**3 + 0*n**2 + 1/18*n**4 + 0. Factor m(z).
2*z**2/3
Let w = 38/13 + -113/52. Let -3/4*o**3 + 1/4*o**4 - 1/2 + 1/4*o**2 + w*o = 0. What is o?
-1, 1, 2
Let a be (-12)/9 - (-8 - -6). Suppose 0 + 2/3*j**2 - a*j**3 + 0*j = 0. Calculate j.
0, 1
Let t(u) = -u**2 + 11*u + 2. Let d be t(11). Suppose 0*y**4 + 2*y**5 - 2*y + 4*y**2 - d*y**3 + y + y**5 - 4*y**4 = 0. Calculate y.
-1, 0, 1/3, 1
Let h(z) be the second derivative of -z**4/6 - 2*z**3/3 - z**2 + 2*z. What is i in h(i) = 0?
-1
Let r(k) = k**3 + 5*k**2 + 2*k + 5. Let j be r(-5). Let a be (-34)/119*7/j. Factor -a*x + 4/5*x**3 - 2/5*x**5 + 0*x**4 + 0*x**2 + 0.
-2*x*(x - 1)**2*(x + 1)**2/5
Let j(p) = 7*p**4 - 3*p**3 - 63*p**2 - 23*p - 7. Let f(g) = -4*g**4 + g**3 + 31*g**2 + 11*g + 3. Let w(r) = -7*f(r) - 3*j(r). Let w(b) = 0. What is b?
-2, -2/7, 0, 2
Factor -20*g**4 + 0*g**5 + 5*g**5 - 67*g**2 + 57*g**2 + 25*g**3.
5*g**2*(g - 2)*(g - 1)**2
Let y(v) be the second derivative of -v**4/48 - v**3/4 - 46*v. Determine j, given that y(j) = 0.
-6, 0
Let -8*u - 4*u**4 - 20*u**3 - 25*u**2 - u**4 + 3*u - 5*u = 0. Calculate u.
-2, -1, 0
Let o(n) = -4*n - 21. Let r be o(-6). Let x(g) be the first derivative of 2 - 2/7*g - 2/21*g**r - 2/7*g**2. Factor x(i).
-2*(i + 1)**2/7
Determine z, given that 2/3*z**4 - 8/3*z - 8/3 + 2*z**2 + 8/3*z**3 = 0.
-2, -1, 1
Let p = -13 - -17. Factor p - 4*q**2 - q - 3 + q**3 + 4*q**2 - q**2.
(q - 1)**2*(q + 1)
Let q(m) be the second derivative of m**5/15 - 5*m**4/24 - m**3/18 - 39*m. Solve q(d) = 0 for d.
-1/8, 0, 2
Find j such that -3/4*j**3 + 0 + 3*j + 9/4*j**2 = 0.
-1, 0, 4
Let d be (-132)/(-34) - 6/(-51). Suppose y - 17 = -0*y - 4*r, -2*y - 2*r = -16. Factor y*q**4 + 2*q - 2*q - 8*q**d.
-3*q**4
Solve 1/6*v**3 + 4/3*v - 5/6*v**2 - 2/3 = 0.
1, 2
Let s(h) = h**4 + h**3 + h**2. Let v(c) = 3*c**4 + 3*c**2. Let m(f) = 6*s(f) - 3*v(f). Let m(n) = 0. What is n?
0, 1
Let z(p) = -p**3 + 8*p**2 - p + 6. Let t(n) = -7*n**2 + 0*n**3 - 2*n + n**3 - 5 - 3*n + 6*n. Let f(x) = 6*t(x) + 5*z(x). Solve f(b) = 0.
0, 1
Let s(n) = -n**3 + n**2 - 1. Let v be s(1). Let l(i) = -i**4 + i**2. Let a(q) = 4*q**4 - 3*q**2. Let k(r) = v*a(r) - 3*l(r). Determine w, given that k(w) = 0.
0
Let v(u) be the second derivative of u**5/10 + u**4/6 - 3*u. Factor v(d).
2*d**2*(d + 1)
Let f(j) = j**2 - 4*j + 4. Let g be f(3). Let y = 1 - g. Factor 1/4*v**4 + 0*v**3 + y + 0*v - 1/4*v**2.
v**2*(v - 1)*(v + 1)/4
Let y(c) be the third derivative of c**8/10080 - c**7/840 + c**6/180 + c**5/30 - 5*c**2. Let q(f) be the third derivative of y(f). Factor q(p).
2*(p - 2)*(p - 1)
Let h(d) = 2*d**2 + 14*d - 3. Let i(s) = -s**2 - 6*s + 1. Let k(b) = 6*h(b) + 15*i(b). Factor k(o).
-3*(o + 1)**2
Factor 4*m - 7*m**2 - 5*m + 6*m**2 + 2*m**2.
m*(m - 1)
Let v(q) be the second derivative of -q**6/240 + q**4/48 + 2*q**2 + 2*q. Let s(h) be the first derivative of v(h). Determine x so that s(x) = 0.
-1, 0, 1
Suppose 0*s - 4*s = 0. Let b(t) = -t + 17. Let j be b(s). Factor 6*h**2 + 8 - j*h**3 + 12*h + 18*h**3 + 0*h**2.
(h + 2)**3
Let l(d) = -3*d - 2 - d**3 - 5*d**2 + 0*d**3 + 2*d. Let t be l(-5). Solve w**2 + t - 2*w**2 - 2 = 0 for w.
-1, 1
Let l(k) be the third derivative of -k**8/560 + k**7/350 + k**6/200 - k**5/100 - 6*k**2. Let l(o) = 0. What is o?
-1, 0, 1
Suppose 0*m - 4 = -2*m. Let p(j) be the first derivative of 0*j + m - 1/10*j**2 + 0*j**3 + 1/20*j**4. Factor p(k).
k*(k - 1)*(k + 1)/5
Factor 0*l**5 - 4*l**2 - 12*l**3 + 41*l + 4*l**5 + 4*l**4 - 33*l.
4*l*(l - 1)**2*(l + 1)*(l + 2)
Let x(t) = -4 - t + 2 - 1. Let p be x(-5). Factor -j - j**p + 5*j - 3*j.
-j*(j - 1)
Suppose -2*x + 15 = r, 0 = -x - 0*r - 5*r + 30. Let i be 2/x + (-96)/(-135). Let -2/9*t**3 - 8/9*t**2 - i*t - 4/9 = 0. Calculate t.
-2, -1
Suppose -3*k = k. Let b = 1556/3 - 518. Factor -8/9*p**2 + b*p**3 + k + 2/9*p.
2*p*(p - 1)*(3*p - 1)/9
Let c = -5 - -7. Suppose 7 = c*x - 3. Factor 16/9*b**4 + 0*b - 32/9*b**x + 0 + 2/9*b**2 + 14/9*b**3.
-2*b**2*(b - 1)*(4*b + 1)**2/9
Suppose 40*k - 30 = 30*k. Factor 4/3*x**2 - 2/3*x**4 - 2/3 + 0*x + 0*x**k.
-2*(x - 1)**2*(x + 1)**2/3
Let p be ((-1)/2)/((-2)/12). Find u, given that 0 - 2/13*u**2 - 4/13*u + 4/13*u**p + 2/13*u**4 = 0.
-2, -1, 0, 1
Suppose -6 = -2*x - 2. Factor 0*s + 1/2*s**x + 0.
s**2/2
Determine k so that 11/2*k**3 + 0 - 7/6*k**5 - 11/6*k**2