(w) = 0. Calculate w.
-2, 1
Suppose -6*w = -69 + 9. Suppose -10 = -8*r - w. Factor 6/5 - 9/5*v + 3/5*v**3 + r*v**2.
3*(v - 1)**2*(v + 2)/5
Suppose -5*s + 8*s - 33 = 0. Let f = 7 + s. Find b such that 39*b + 24 + 12*b**2 + 18*b**2 + 25*b - f*b**3 = 0.
-2/3, 3
Let i(w) be the first derivative of 0*w**2 - 3/100*w**5 + 0*w**4 - 5 - 3*w + 1/10*w**3. Let n(s) be the first derivative of i(s). Factor n(p).
-3*p*(p - 1)*(p + 1)/5
Let u(d) = d**2 + d - 7. Let h be u(-4). Let m(y) be the second derivative of 1/3*y**4 + 1/3*y**3 - y + 0 + 0*y**2 + 1/10*y**h. Solve m(g) = 0.
-1, 0
Let c be (-114)/(-342)*(-18)/(-7). Find k such that 4/7*k**2 - 8/7*k**4 + c*k**3 - 8/7*k**5 - 2/7*k + 0 = 0.
-1, 0, 1/2
Let r be 13/11 - 8/44. Suppose 0 = 4*x - 2*a + 4 - 30, r = 2*x - 5*a. Factor -2*c + 0*c - 3*c**2 + x*c**3 - c**3 - 2*c**2.
c*(c - 1)*(7*c + 2)
Let r(d) be the first derivative of 2*d**3/45 + 28*d**2/15 + 18*d/5 - 76. Solve r(q) = 0.
-27, -1
Suppose 12*u**2 + 37486*u**5 - 37489*u**5 + 16*u**3 - 12*u - 7*u**3 - 6*u**4 = 0. Calculate u.
-2, 0, 1
Let j = 45 - 58. Let t(g) = -g - 8. Let v be t(j). Factor -1/4*n**3 + 0*n - 1/4*n**v + 0*n**2 + 1/2*n**4 + 0.
-n**3*(n - 1)**2/4
Let -3*k**2 - 16*k**3 - 11*k**3 - 20*k**3 + 0*k**2 + 46*k**3 = 0. Calculate k.
-3, 0
Let u = 35 - 30. Factor -4*w**3 - 4*w**2 - 5 + 4*w**4 + 4*w + 0*w**3 + u.
4*w*(w - 1)**2*(w + 1)
Suppose 11 - 6 = 5*l. Let v be (4/(-38) - (-1212)/684) + l. What is j in -v - 64/3*j - 56/3*j**3 - 142/3*j**2 = 0?
-2, -2/7, -1/4
Suppose 18/5 - 2/5*f**2 + 0*f = 0. Calculate f.
-3, 3
Let i = 16285/4 + -4071. Factor 0 + i*v**2 - 1/4*v**4 + 1/2*v**3 - 1/2*v.
-v*(v - 2)*(v - 1)*(v + 1)/4
Let o = -43 - -61. Solve -4*l**4 + 2 - 3*l**5 + o*l**2 - 12*l**3 - 10 - 4*l + 25*l**3 = 0.
-2, -1, 2/3, 2
Factor 1/5*g - 6/5 + 1/5*g**2.
(g - 2)*(g + 3)/5
Suppose -4*i + 21 - 17 = 0. Let c(y) = 3*y**2 - 7*y + 6. Let p be c(i). Let 0 + 0*d + 2/13*d**p = 0. Calculate d.
0
Factor -11*l**2 + 2*l**3 + 110 + 3*l**3 - 35*l**2 + 45*l - 14*l**2.
5*(l - 11)*(l - 2)*(l + 1)
Let g be 2/(-11) - (-2 - 1189/(-660)). Let v(d) be the third derivative of 1/12*d**4 - 1/2*d**3 + d**2 + 0*d + 0 + g*d**5. Factor v(x).
(x - 1)*(x + 3)
Let q = -23264 + 23268. Factor 0 + 1/11*a**q + 0*a**2 + 1/11*a**3 + 0*a.
a**3*(a + 1)/11
Let u(x) be the third derivative of 0 + 7/180*x**5 - 1/2*x**3 - 1/60*x**6 + 6*x**2 + 1/18*x**4 + 0*x. Let s(q) be the first derivative of u(q). Factor s(z).
-2*(z - 1)*(9*z + 2)/3
Let m be 5*9/((-180)/(-8)). Determine a so that -4*a**2 - 4 + 3*a**m - 3*a**2 + 8*a = 0.
1
Factor 66*m**3 - 235 + 49*m**3 - 90*m**3 + 240*m + 95 - 135*m**2.
5*(m - 2)**2*(5*m - 7)
Let x(k) = -5*k**2 + 32*k - 26. Let l(n) = 10*n**2 - 62*n + 51. Let c(p) = -6*l(p) - 11*x(p). Factor c(b).
-5*(b - 2)**2
Let u(h) be the second derivative of h**7/126 + 2*h**6/15 - 19*h**5/12 + 37*h**4/6 - 106*h**3/9 + 12*h**2 + 2*h + 460. Let u(b) = 0. Calculate b.
-18, 1, 2
Let q = 37320 + -261228/7. Factor q - 2/7*s**2 + 10/7*s.
-2*(s - 6)*(s + 1)/7
Let n = 15 + -13. Suppose 2*j = 17 - 13. Suppose 10*v**j - 2*v - 2 - v - 11*v**n = 0. Calculate v.
-2, -1
Let g = -235 + 239. Let c(i) be the second derivative of 0 - 2*i + 1/15*i**3 + 0*i**2 - 1/30*i**g. Determine t, given that c(t) = 0.
0, 1
Let x(v) be the first derivative of -13*v**2 - 8/3*v**3 + 17 - 6*v. Suppose x(s) = 0. What is s?
-3, -1/4
Let f(g) be the third derivative of 0*g**4 + 16*g**2 + 0 - 5/672*g**8 - 5/48*g**6 + 0*g**3 + 0*g - 1/12*g**5 - 1/21*g**7. Let f(u) = 0. Calculate u.
-2, -1, 0
Let n be 7 - (7 - -1) - -1 - (-1 - -1). Suppose -6/5*j**2 + 0 + n*j - 2/5*j**3 = 0. What is j?
-3, 0
Suppose 0*m + 0 - 3*m**2 + 7/2*m**3 + 35/2*m**4 - 3*m**5 = 0. Calculate m.
-1/2, 0, 1/3, 6
Let 22*z**3 + 252*z**2 - 7056*z + 65856 - 2*z**3 - 12*z**3 - 7*z**3 - 4*z**3 = 0. What is z?
28
Suppose 3*z - 12 = 4*a + 6*z, -5*z = -4*a + 20. Let o(u) be the second derivative of -3*u - 1/20*u**5 + 0*u**2 + a + 1/3*u**3 - 1/12*u**4. Solve o(y) = 0.
-2, 0, 1
Suppose -4*c + 17 + 7 = 0. Let j(a) = a**3 + a**2 + a + 1. Let p(y) = -8*y**3 - 10*y**2 - 4*y - 2. Let g(t) = c*j(t) + p(t). Factor g(k).
-2*(k - 1)*(k + 1)*(k + 2)
Let l(g) be the second derivative of g**7/42 + g**6/30 - 2*g**5/5 - 2*g**4/3 + 8*g**3/3 + 8*g**2 - 3*g + 15. Let l(s) = 0. What is s?
-2, -1, 2
Let h be (-4)/((-12)/(-3))*-9. Determine l, given that h*l + 8*l**4 - 3*l**3 - 5*l**4 - 12*l**2 + 3*l = 0.
-2, 0, 1, 2
Factor 84*l + l**3 + 1016*l**2 - 288*l - 25*l**4 - 1256*l**3.
-l*(l + 51)*(5*l - 2)**2
Let b(r) = 2*r**2 + 11*r + 7. Let j be b(-5). Suppose 1/2*l**3 - j*l**2 + 2 - 1/2*l = 0. Calculate l.
-1, 1, 4
Let c = 21 + -18. Suppose 0 = 2*t - 10, -2*s = -2*t - 0*t + 10. Find l such that -4*l**3 - 5*l + l**3 + l**4 + s*l + c*l**2 + 4*l = 0.
0, 1
Determine l so that 13*l**2 - 96 + 28*l - 36*l - 9*l**2 = 0.
-4, 6
Factor 1/2*t**4 + 3*t**3 - 3*t + 4*t**2 - 9/2.
(t - 1)*(t + 1)*(t + 3)**2/2
Factor -6*r**2 - 20/3*r**3 + 20/3*r + 19/3 - 1/3*r**4.
-(r - 1)*(r + 1)**2*(r + 19)/3
Let q(p) be the second derivative of -p**5/72 - 25*p**4/72 - 125*p**3/36 + 5*p**2/2 - 11*p. Let z(x) be the first derivative of q(x). Solve z(i) = 0 for i.
-5
Let k(g) be the first derivative of -2/11*g**4 - 4/11*g**3 - 2/11*g + 3 - 2/55*g**5 - 4/11*g**2. Determine d so that k(d) = 0.
-1
Let j(i) be the first derivative of 7*i**4/8 + 5*i**3 + 2*i**2 + 207. Factor j(k).
k*(k + 4)*(7*k + 2)/2
Let b(g) = g - 1. Let v(k) = -k**3 - 7*k**2 + 2*k + 16. Let j be v(-7). Let n(i) = 98*i**2 + 87*i + 15. Let q(x) = j*n(x) - 6*b(x). Factor q(p).
4*(7*p + 3)**2
Let t(j) be the first derivative of 9*j**4/4 + j**3 + 149. Factor t(l).
3*l**2*(3*l + 1)
Let 44*d**3 - 6*d**4 - 321358*d**2 + 26*d**4 + 321306*d**2 - 12*d = 0. What is d?
-3, -1/5, 0, 1
Suppose 0 = -5*b + 9 + 16. Factor -480*y + 10*y**3 + 480*y + 4*y**2 + 2*y**b + 8*y**4.
2*y**2*(y + 1)**2*(y + 2)
Suppose -20*b + 23 + 2*b**2 + 2*b**2 - 3*b**2 - 4*b = 0. What is b?
1, 23
Let p(k) be the second derivative of k**4/20 + 3*k**3/10 - 42*k**2/5 - k + 2. Factor p(c).
3*(c - 4)*(c + 7)/5
Let i(n) be the third derivative of n**5/450 + n**4/20 + 14*n**3/45 + 102*n**2. Factor i(a).
2*(a + 2)*(a + 7)/15
Let q(u) be the third derivative of u**8/4032 + u**7/1008 - u**6/72 - 3*u**5/10 - 2*u**2. Let f(b) be the third derivative of q(b). Let f(j) = 0. What is j?
-2, 1
Let z(c) = -c**4 + c - 1. Let l(g) = -g**4 + 11*g**3 - 4*g**2 + 4*g - 4. Let u(a) = -l(a) + 4*z(a). Factor u(k).
-k**2*(k + 4)*(3*k - 1)
Let j(r) be the third derivative of -r**6/360 + r**5/120 + r**4/12 - 4*r**3/3 + 11*r**2. Let p(l) be the first derivative of j(l). Factor p(z).
-(z - 2)*(z + 1)
Determine s, given that -8/3*s - 4*s**2 + 28/3*s**3 + 0 + 4*s**4 - 20/3*s**5 = 0.
-1, -2/5, 0, 1
Suppose -29*g = g - 90. Let a(v) be the third derivative of 0 + 1/78*v**4 - 4*v**2 + 0*v**g + 0*v - 1/130*v**5 + 0*v**6 + 1/1365*v**7. Solve a(l) = 0 for l.
-2, 0, 1
Suppose 0 = 2860*v - 2848*v. Suppose 4/5*n**4 + v - 4*n**3 + 12/5*n**2 + 36/5*n = 0. Calculate n.
-1, 0, 3
Factor 8/7*z**3 + 8/7*z**2 + 0 + 0*z + 2/7*z**4.
2*z**2*(z + 2)**2/7
Let k(g) be the second derivative of 0 - 6*g - 1/210*g**7 + 0*g**4 - 1/100*g**5 + 0*g**2 + 0*g**3 + 1/75*g**6. Factor k(m).
-m**3*(m - 1)**2/5
Let p be 19990/(-75) + 4/30. Let i = p + 268. Suppose -i - 2*v - 2/5*v**2 = 0. What is v?
-4, -1
Let v(t) = -143*t + 143. Let m be v(1). Find p, given that m - 4*p**2 + 4*p**4 - 4/3*p + 8/3*p**5 - 4/3*p**3 = 0.
-1, -1/2, 0, 1
Let m(f) be the first derivative of -49*f**4/3 - 56*f**3/3 - 8*f**2 - 9*f - 17. Let q(n) be the first derivative of m(n). Suppose q(x) = 0. Calculate x.
-2/7
Let v(j) be the third derivative of -5*j**8/1008 - 5*j**7/126 - j**6/12 + j**5/9 + 5*j**4/9 - 42*j**2. Let v(w) = 0. Calculate w.
-2, 0, 1
Let g(y) = -10*y**5 - 15*y**4 - 24*y**3 - 5*y**2 - 7. Let c(b) = 3*b**5 + 5*b**4 + 8*b**3 + 2*b**2 + 2. Let t(d) = 14*c(d) + 4*g(d). Let t(m) = 0. Calculate m.
-2, -1, 0
Let z = 12/47 + 23/94. Let y(h) be the first derivative of -2/3*h**3 - z*h**4 + 2*h + 5 + h**2. Factor y(c).
-2*(c - 1)*(c + 1)**2
Solve 3*j**3 + 19/3*j - 2 - 7*j**2 - 1/3*j**4 = 0.
1, 6
Suppose 0 = 3*f + f. Let p = 128 - 123. Suppose -d**3 + f*d**3 + 2 + p*d - 2*d = 0. Calculate d.
-1, 2
Let j(z) be the first derivative of 1/3*z**3 - 3 + 0*z + 1/15*z**5 + 0*z**2 - 1/18*z**6 + 5/12*z**4.