= 6742/2919 + -10/417. Determine x, given that 22/7*x**2 + 10/7*x**5 - 26/7*x**3 - 8/7 + b*x - 2*x**4 = 0.
-1, 2/5, 1, 2
Let z(k) be the first derivative of 5*k**4/4 + 30*k**3 + 215. Factor z(a).
5*a**2*(a + 18)
Let w(x) be the third derivative of -7*x**8/264 + 17*x**7/165 + 4*x**6/33 - 92*x**5/165 - 28*x**4/33 - 16*x**3/33 + 47*x**2. Solve w(u) = 0.
-1, -2/7, 2
Let k = 2 - -6. Suppose -5*u = -w + k - 20, 0 = -3*u + 9. What is m in w*m**4 - 3*m**2 - 75*m**5 - 43*m + 123*m**3 + 18*m**4 - 12 - 6*m**4 - 5*m = 0?
-1, -2/5, 1
Factor -72*i**2 - i**4 + 24*i**3 - 33*i**2 - 39*i**2.
-i**2*(i - 12)**2
Let p be 50/20 + -5 - -4. Factor -1/2*o**4 - 3/2*o + p*o**3 + 1 - 1/2*o**2.
-(o - 2)*(o - 1)**2*(o + 1)/2
Solve -6/7*r**3 + 0 + 6/7*r - 18/7*r**2 + 18/7*r**4 = 0 for r.
-1, 0, 1/3, 1
Solve -15*a**5 - 2*a**2 + 170*a - 639*a**3 + 646*a - 576 + 566*a**2 + 174*a**4 = 0 for a.
-1, 3/5, 4
Factor 12*q**3 + 10*q**2 - 27*q**3 + 10*q**3 + 13*q**3 - 12 - 47*q + q.
2*(q - 2)*(q + 3)*(4*q + 1)
Let c(f) be the second derivative of -1/15*f**6 + 11*f + 0*f**2 - 1/30*f**5 + 0 + 0*f**3 + 1/9*f**4. Suppose c(m) = 0. Calculate m.
-1, 0, 2/3
Factor 6*b**2 - 264*b**3 + 255*b**3 + 25*b - b**4 - 21*b**2.
-b*(b - 1)*(b + 5)**2
Let k(s) = -17*s**2 - 33*s - 7. Let h = 14 - 6. Let v(b) = -8*b**2 - h - 16*b + 13 - 9. Let o(j) = -4*k(j) + 9*v(j). Let o(m) = 0. What is m?
-2, -1
Let x(d) be the third derivative of d**8/2520 + d**7/1260 - d**6/540 - d**5/180 - d**3/2 + 14*d**2. Let p(y) be the first derivative of x(y). Factor p(f).
2*f*(f - 1)*(f + 1)**2/3
Let y be (-13)/(-5) + (-6)/10. Factor -q**3 + 8*q**2 + 4*q**y + 2*q**2 - 16*q**2.
-q**2*(q + 2)
Suppose -2*g + 18 = 5*l + 3, -5*l + 3*g + 15 = 0. Factor 11*j**2 - 5*j**2 + j**l - 5*j**2 - 2*j.
j*(j - 1)*(j + 2)
Suppose 12*c - 144 + 96 = 0. Let n(y) be the second derivative of 0 - 2/3*y**c + 2/3*y**3 + 0*y**2 + 4*y + 1/5*y**5. Factor n(b).
4*b*(b - 1)**2
Let o(g) be the first derivative of g**2 - 1/2*g**4 + 1/5*g**5 + 0*g - 1/3*g**3 - 21. Factor o(s).
s*(s - 2)*(s - 1)*(s + 1)
Let q(l) be the third derivative of 3/160*l**6 + 1/15*l**5 - 1/24*l**4 - 12*l**2 + 0*l + 0 + 0*l**3. Solve q(j) = 0.
-2, 0, 2/9
Suppose -34 = -5*f + 11. Solve 4*b**2 - 7 - f + b - b = 0 for b.
-2, 2
Solve 4*u**3 - 5*u**3 - 28*u**2 - 48 - 11*u - 3*u**3 - 53*u = 0 for u.
-3, -2
Let z be 3*(2 - 6 - -3). Let g be 10/z*(-3 - (-75)/40). Factor -3/4*o**4 - g*o**3 - 3*o + 0 - 6*o**2.
-3*o*(o + 1)*(o + 2)**2/4
Let l = 6680 + -6678. Find v such that -2/3*v**4 + 4/3*v**3 + 0 + 2/3*v**l - 4/3*v = 0.
-1, 0, 1, 2
Let l = 14335/3 - 4778. Suppose 2/3*j**4 - 2/3*j**2 + 0*j - l*j**3 + 0 + 1/3*j**5 = 0. Calculate j.
-2, -1, 0, 1
Let i = -804 - -1611/2. Let o(x) be the first derivative of -i*x**4 - 5 + 0*x - 2/3*x**3 + 0*x**2. Let o(s) = 0. Calculate s.
-1/3, 0
Let p(l) = 9*l**4 + 9*l**3 + 18*l**2 + 6*l. Let n(o) = -8*o**4 - 10*o**3 - 19*o**2 - 7*o. Let m(a) = 6*n(a) + 5*p(a). Find q such that m(q) = 0.
-2, -1, 0
Suppose q**5 + 3*q**5 - 27783*q**3 + 27779*q**3 = 0. What is q?
-1, 0, 1
Factor -21079*i**3 - 359*i - 128 - 108*i**2 + 21087*i**3 + 47*i.
4*(i - 16)*(i + 2)*(2*i + 1)
Let g(c) be the third derivative of c**7/1260 - c**6/30 + 9*c**5/20 - 2*c**3/3 + 5*c**2. Let n(k) be the first derivative of g(k). Factor n(j).
2*j*(j - 9)**2/3
Factor 6*v**2 + 0 - 45/2*v + 1/2*v**3.
v*(v - 3)*(v + 15)/2
Let o = -18 + 33. Let x be 161/o - (-9)/15. Factor 16/3*i**2 - 2/3 - x*i**3 + 1/3*i + 26/3*i**4 - 7/3*i**5.
-(i - 1)**4*(7*i + 2)/3
Let d(a) be the first derivative of 6 + 0*a**2 - 8/3*a**3 + 0*a - 3/2*a**4 + 2/5*a**5. Find b, given that d(b) = 0.
-1, 0, 4
Let u be (44*6/240)/((-4)/(-90)). Let l = u + -93/4. Factor l*w**3 + 3*w**2 + 3/2*w + 0.
3*w*(w + 1)**2/2
Let d(x) be the first derivative of 0*x - 3/2*x**2 - 1/3*x**3 + 22. Factor d(f).
-f*(f + 3)
Let b(o) be the second derivative of o**5/130 - o**4/26 + o**3/13 - o**2/13 - 77*o. Factor b(a).
2*(a - 1)**3/13
Let l(z) be the second derivative of -1/75*z**6 + 0*z**2 + 0 + 1/30*z**4 - 1/25*z**5 + 2/15*z**3 - 5*z. Factor l(f).
-2*f*(f - 1)*(f + 1)*(f + 2)/5
Let x = -306/5 - -62. Suppose -9*h = -12*h. Solve -x*g - 14/5*g**2 - 6/5*g**3 + h = 0.
-2, -1/3, 0
Let y = -120 - -127. Let q be 1/5 - y/210. Determine p so that -1/6*p**2 + 1/6*p**3 + 1/6*p**4 + 0 - q*p**5 + 0*p = 0.
-1, 0, 1
Factor 3*n**4 + 244*n**2 + 116*n**3 - 8*n**4 - 135*n + n**4 + 259*n.
-4*n*(n - 31)*(n + 1)**2
Let t = 2 - 1. Suppose -50*i = -58*i - 48. Let l(s) = s**2 + s - 1. Let r(n) = 4*n**3 + 14*n**2 + 10*n - 6. Let y(m) = i*l(m) + t*r(m). What is f in y(f) = 0?
-1, 0
Let h(g) = -g**2 - 12*g - 15. Let r be h(-10). Let n(f) be the first derivative of 5*f + 2*f**2 - f**4 + 0 - 4*f**3 + 7*f - r. Let n(d) = 0. Calculate d.
-3, -1, 1
Suppose k - 5 = 3. Factor 4*c**4 + 2*c - 32 + 28 - 2*c + k*c - 8*c**3.
4*(c - 1)**3*(c + 1)
Let b(x) be the third derivative of x**6/300 + 3*x**5/50 - x**4/6 - x**2 - 19*x. Find n, given that b(n) = 0.
-10, 0, 1
Let g(q) = 8*q - 37. Let o be g(5). Let t(v) be the first derivative of 0*v - 2/33*v**o + 0*v**2 - 3. Factor t(b).
-2*b**2/11
Let z(s) be the first derivative of 1/105*s**6 + 2 + 1/42*s**4 + 0*s**2 + 0*s**3 + 1/35*s**5 + s. Let k(n) be the first derivative of z(n). Factor k(t).
2*t**2*(t + 1)**2/7
Suppose 16 - 52 = -4*l. Solve -38*o**2 - l*o - 44 + 8 + 22*o**2 - 39*o = 0.
-3/2
Let h(b) = 5*b**4 + 63*b**3 + 95*b**2 + 21*b - 3. Let s(p) = -2*p**4 - 31*p**3 - 48*p**2 - 11*p + 2. Let q(v) = 6*h(v) + 13*s(v). Factor q(a).
(a - 8)*(a + 1)**2*(4*a - 1)
Let x(f) = 3*f**4 + 18*f**3 + 34*f**2 + 31*f + 17. Let z(p) = p**2 - 4*p - 10. Let k be z(5). Let u(w) = w**2 + w - 1. Let s(j) = k*u(j) - x(j). Factor s(v).
-3*(v + 1)**2*(v + 2)**2
Let o(m) = 3*m. Suppose -7*a - 15 = 6. Let d(y) = -y**4 + y**3 + y**2 - 2*y. Let j(h) = a*d(h) - o(h). Suppose j(n) = 0. What is n?
-1, 0, 1
Factor 58/5 + 1/5*q**2 + 59/5*q.
(q + 1)*(q + 58)/5
Let g(t) be the second derivative of -t**6/90 - 17*t**5/30 + 35*t**4/36 + 2*t + 77. Solve g(w) = 0 for w.
-35, 0, 1
Let w(h) be the second derivative of -1/120*h**6 + 1/2*h**2 + 1/16*h**5 - 1/16*h**4 - 5/24*h**3 + 0 - h. Determine t, given that w(t) = 0.
-1, 1, 4
Suppose 0 = 4*q + 5*t - 3, -13 = 5*q + 2*t - 4. Let x(m) = m + 1. Let h(o) = 5*o**2 + 3*o + 3. Let w(n) = q*x(n) + h(n). Factor w(r).
5*r**2
Let w(s) = 2*s + 18. Let o be w(-7). Let o*r**2 + 18*r + 100 - 21*r - 37*r = 0. Calculate r.
5
Let a(z) = -10*z**2 - 95*z. Let s(d) = -5*d**2 - 48*d. Let u(q) = -3*a(q) + 5*s(q). Factor u(f).
5*f*(f + 9)
Let c(r) be the second derivative of -1/40*r**6 - r**3 + 3/16*r**5 + 1/16*r**4 + 3/2*r**2 + 0 - 1/56*r**7 + 25*r. Determine d, given that c(d) = 0.
-2, 1
Suppose -2*l - 2*t - 16 = -22, 5*l - 12 = -2*t. Let s(x) be the first derivative of -1/6*x**3 + 0*x - 5 - 1/2*x**l. What is n in s(n) = 0?
-2, 0
Let p(h) be the second derivative of 0 + 1/5*h**5 + 17*h + 4/3*h**4 + 10/3*h**3 + 4*h**2. Solve p(u) = 0 for u.
-2, -1
Let z(q) be the third derivative of 1/560*q**8 - 7/40*q**4 + 29*q**2 + 0 + 2/175*q**7 + 1/5*q**5 + 0*q - 9/100*q**6 + 0*q**3. Solve z(a) = 0 for a.
-7, 0, 1
Let x(u) = -96*u**2 + 273*u + 111. Let y(a) = 6*a**2 - 17*a - 7. Let j = -30 - -32. Let i(o) = j*x(o) + 33*y(o). Factor i(k).
3*(k - 3)*(2*k + 1)
Let f(j) be the first derivative of 7/6*j**4 - 8/3*j - 2/15*j**5 - 10/3*j**3 + 13/3*j**2 + 5. Let f(o) = 0. Calculate o.
1, 4
Let b(x) be the third derivative of 5 - 3/7*x**8 + 3*x**2 - 11/6*x**4 + 64/35*x**7 + 2/3*x**3 + 0*x + 47/15*x**5 - 97/30*x**6. Let b(v) = 0. Calculate v.
1/3, 1/2, 1
Let a be (-8)/(-6) - (-172)/(-43) - (-2 - 2). Factor 1/3*x**3 + a + 5/3*x**2 + 8/3*x.
(x + 1)*(x + 2)**2/3
Let t = -1983/70 - -405/14. Factor 0 + 3*p + t*p**2.
3*p*(p + 5)/5
Suppose -2*g - 2 = -0*g. Let b be (g*1)/((-18)/90). Factor -m + b - 3*m**2 - 4 + 4*m - 3*m**3 + 2.
-3*(m - 1)*(m + 1)**2
Find b, given that -148*b - 28 + 15/7*b**5 + 191/7*b**4 + 449/7*b**3 - 1215/7*b**2 = 0.
-7, -2/5, -1/3, 2
Let l = 349/26 - 168/13. Let n(s) be the first derivative of 0*s + 0*s**4 - 1/6*s**6 + l*s**2 - 2 - 2/5*s**5 + 2/3*s**3. Factor n(v).
-v*(v - 1)*(v + 1)**3
Let y(l) be the first derivative of -l**3/3 - 95*l**2/2 + 131. Solve y(k) = 0 for k.
-95, 0
Solve -2 - 83/3*z - 9*z**2 = 0.
-3, -2/27
Factor 0 + 0*k**3 + 1/3*k**4 - 1/3*k**2 + 0*k.
k**2*(k - 1)*(