. Suppose o(b) = 0. What is b?
-2/7, 1
Suppose 0*x = -2*x + 54. Let f be 6/x + (-50)/(-18). Factor 3*b**2 - f + 17*b - 8*b - 9*b.
3*(b - 1)*(b + 1)
Let u(k) be the third derivative of 2*k**7/105 - 19*k**6/30 + 16*k**5/3 + 50*k**4/3 + 71*k**2. Factor u(m).
4*m*(m - 10)**2*(m + 1)
Factor 7/3*w**2 - 9/2*w + 3/2.
(2*w - 3)*(7*w - 3)/6
Let g(t) be the third derivative of -t**7/1890 + t**5/90 + t**4/27 + t**3/18 - 2*t**2 - 71*t. Let g(b) = 0. Calculate b.
-1, 3
Suppose 0 = -6*x + 8*x - 2. Let z(c) = -23*c + 1. Let o be z(-1). Factor 1 - o*h + 29*h - 7*h**2 + x + 0*h**2.
-(h - 1)*(7*h + 2)
Suppose -2*q - 5*z - 6 = 0, -2*z = 4*q + z - 2. Let d(s) be the first derivative of 0*s + 1/3*s**q - 1 - 1/9*s**3. Factor d(w).
-w*(w - 2)/3
Let k(n) be the third derivative of 1/25*n**5 + 0*n**4 + 28*n**2 + 0*n**3 + 1/150*n**6 + 0 + 0*n. Suppose k(j) = 0. What is j?
-3, 0
Let c = -2/569 - -9118/3983. Let p(o) be the first derivative of c*o**2 + 2/3*o**3 + 2 + 8/7*o. Factor p(n).
2*(n + 2)*(7*n + 2)/7
Let z be (-18)/(-20) - (-648)/405. Find k such that -5*k**2 + 5*k**4 + 0 - 5/2*k**5 + 0*k + z*k**3 = 0.
-1, 0, 1, 2
Let v(b) be the first derivative of 0*b + 10 - 2/3*b**3 - 1/2*b**4 + 0*b**2. Let v(u) = 0. Calculate u.
-1, 0
Suppose 24 = 119*z - 111*z. Suppose 4*k - 12 = -4. Factor -3*t**2 + 2*t**2 + 3*t**k - 6*t - 5*t**2 + 3*t**z.
3*t*(t - 2)*(t + 1)
Determine x, given that 0 + 2/7*x**3 - 29/7*x**2 - 26/7*x + 5/7*x**4 = 0.
-2, -1, 0, 13/5
Let z(j) be the first derivative of j**6/600 + 9*j**5/100 + 81*j**4/40 - 22*j**3/3 - 40. Let q(n) be the third derivative of z(n). Factor q(m).
3*(m + 9)**2/5
Let p(d) be the second derivative of 1/27*d**4 + 0 + 32*d**2 + 16/9*d**3 + 38*d. Factor p(g).
4*(g + 12)**2/9
Let b(s) = 3*s**3 + 15*s**2 + 72*s + 88. Let h(q) = -4*q**3 - 15*q**2 - 72*q - 91. Let r(i) = -5*b(i) - 4*h(i). Factor r(p).
(p - 19)*(p + 2)**2
Let o(d) be the first derivative of -3*d**4/4 + 4*d**3 - 6*d**2 - 51. Factor o(n).
-3*n*(n - 2)**2
Let q be ((-18)/(-10))/((-572)/(-65)). Let t = q + 1/22. Factor -5/4*p**2 - t*p**4 + 1/2*p + p**3 + 0.
-p*(p - 2)*(p - 1)**2/4
Factor 972*o - 11664 - 27*o**2 + 1/4*o**3.
(o - 36)**3/4
Let j(m) = -m**5 - 5*m**4 + 11*m**3 + 5*m**2 - 6*m + 4. Let o be 0/(2 + -5) + -4. Let n(f) = -f**5 + f**3 - f - 1. Let k(s) = o*n(s) - j(s). Factor k(l).
5*l*(l - 1)**2*(l + 1)*(l + 2)
Let v(t) be the second derivative of 3*t**5/20 + t**4/4 - t**3 - 164*t - 2. Solve v(w) = 0 for w.
-2, 0, 1
Let y = -30613/3 - -10105. Let v = y - -100. Factor 1/2*c**2 - 1/3*c**3 - 1/6*c**4 - v + 2/3*c.
-(c - 1)**2*(c + 2)**2/6
Let -2*f**4 + 24*f + 32*f + 24 - 7*f**4 - 12*f**3 + 30*f**2 - f**4 = 0. Calculate f.
-6/5, -1, 2
Let v(k) be the first derivative of -4/5*k**5 - k**4 + 4/3*k**3 + 0*k + 2*k**2 + 45. What is t in v(t) = 0?
-1, 0, 1
Let j be (5 - 7)*5/(-2). Suppose j*p = 9*p. Determine v so that 3/5*v**5 - 3/5*v**4 + 0*v**2 + 0 + p*v**3 + 0*v = 0.
0, 1
Let a = 4 + -2. Let g(j) be the third derivative of 1/6*j**3 + 0 + 1/24*j**4 - 2*j**a - 1/120*j**6 - 1/60*j**5 + 0*j. Suppose g(n) = 0. What is n?
-1, 1
Let u(h) be the first derivative of -5/2*h**2 + 10*h - 5/3*h**3 - 14. Factor u(w).
-5*(w - 1)*(w + 2)
Let m be ((-3)/(-6) + 15/10)*(-33 + 34). Find c, given that -2/11*c**m - 12/11*c - 16/11 = 0.
-4, -2
Suppose 27*o**2 + 3/2*o**5 + 111/2*o**3 + 0 + 0*o + 30*o**4 = 0. Calculate o.
-18, -1, 0
Let k(l) be the second derivative of -l**4/24 + 4*l**3/3 - 16*l**2 + 212*l. Factor k(p).
-(p - 8)**2/2
Let t(u) be the second derivative of u**8/1680 - u**7/315 + u**6/180 - 7*u**4/6 + 6*u. Let y(r) be the third derivative of t(r). Solve y(z) = 0 for z.
0, 1
Suppose -24*v - 3 = -20*v - 5*l, v - 3*l + 6 = 0. Let a be ((-6)/(-4))/(3/4). Solve -1 + v + 2*s**a - 2*s**4 + 2*s**2 - 4 = 0 for s.
-1, 1
Let b(z) be the second derivative of z**7/42 + z**6/6 + 3*z**5/20 - 5*z**4/12 - 2*z**3/3 - 43*z. Let b(d) = 0. Calculate d.
-4, -1, 0, 1
Let q(f) = -3*f**4 - 3*f**3 + 9*f**2 + 7*f - 2. Let m(s) = -3*s**4 - 2*s**3 + 9*s**2 + 7*s - 1. Let h(c) = 4*m(c) - 5*q(c). What is b in h(b) = 0?
-3, -1, 2/3, 1
Factor 2/7*i + 2/7*i**4 + 0 - 5/7*i**2 + 1/7*i**3.
i*(i - 1)*(i + 2)*(2*i - 1)/7
Let z be ((1806/(-165) + 11)*-10)/(3/(-16)). Let k be (-101)/(-11) - 1 - 0. Let -z*a - 224/11*a**3 + 160/11*a**2 + 24/11*a**4 + 0 + k*a**5 = 0. Calculate a.
-2, 0, 2/5, 2/3
Let c be 14/(-175) + 19/(-75) - 14/(-6). Factor 0 + 4/11*m + 1/11*m**c.
m*(m + 4)/11
Let q(w) = 34*w - 473. Let g be q(14). Determine t, given that 22/7*t**4 + 0 - 22/7*t**g + 4/7*t - 6/7*t**5 + 2/7*t**2 = 0.
-1/3, 0, 1, 2
Determine w, given that 1346*w**3 - 1426*w**3 + 2*w - 4*w**4 + 4*w**5 - 2*w = 0.
-4, 0, 5
Let -2*c**4 + 192/5*c**2 + 56/5*c + 126/5*c**3 + 0 = 0. What is c?
-1, -2/5, 0, 14
What is p in -69*p**3 + 97*p - 14*p**2 + 11*p - 3*p**5 - 27*p**4 + 5*p**2 = 0?
-4, -3, 0, 1
Let i be 10275/35*(-2)/(-3). Let m = 196 - i. Find v such that m*v**3 + 8/7*v**2 + 10/7*v + 4/7 = 0.
-2, -1
Suppose 15*u**4 - u**2 + 0*u**4 + 5*u**5 + u**2 + 10*u**3 = 0. What is u?
-2, -1, 0
Let y be (-40)/16*4/(-5). Let -60*z**3 - 19*z**4 - 12*z + 73*z**2 + 9*z**y - 18*z**2 + 35*z**4 - 8 = 0. Calculate z.
-1/4, 1, 2
Let k(u) be the second derivative of -u**8/1680 + 2*u**7/315 - u**6/45 + 5*u**4/4 - 37*u. Let z(y) be the third derivative of k(y). Let z(b) = 0. Calculate b.
0, 2
Factor -1562*m + 715*m**2 + 1722*m + 565*m**2 + 5.
5*(16*m + 1)**2
Suppose -1/2*t**2 + 0*t + 0 - t**3 - 1/2*t**4 = 0. Calculate t.
-1, 0
Solve -5*i**3 - 19138*i - 400*i**2 - 370440 - 7322*i - 230*i**2 = 0 for i.
-42
Let q(u) = -3*u**2 - 7*u + 16. Let g be q(5). Let x = 1038/11 + g. Suppose 0 - 2/11*z - x*z**2 - 2/11*z**3 = 0. What is z?
-1, 0
Let j(h) be the third derivative of h**7/630 - h**6/40 + h**5/12 - 7*h**4/72 + 195*h**2 - 1. Factor j(n).
n*(n - 7)*(n - 1)**2/3
Factor 0 + 0*n + 0*n**2 + 9*n**3 - 3/4*n**4.
-3*n**3*(n - 12)/4
Let v = 876 - 26279/30. Let s(t) be the third derivative of -v*t**5 + 1/3*t**3 + 8*t**2 + 0*t**4 + 0*t + 0. Factor s(o).
-2*(o - 1)*(o + 1)
Let x be (-18)/153 + (-1838)/(-17). Let b = 108 - x. Factor 21/5*u**3 - 6/5*u**2 + b*u + 0.
3*u**2*(7*u - 2)/5
Let h(x) be the second derivative of -x**5/30 - x**4/9 + 8*x**3/9 - 4*x + 20. Factor h(t).
-2*t*(t - 2)*(t + 4)/3
Let l(w) = -36*w**3 - 532*w**2 + 480*w + 44. Let n(r) = -5*r**3 - 76*r**2 + 69*r + 6. Let p(d) = -6*l(d) + 44*n(d). Find o such that p(o) = 0.
-39, 0, 1
Let n(q) be the second derivative of 5/18*q**3 - 1/3*q**2 - 1/12*q**4 - 1/60*q**5 - 13*q + 1/90*q**6 + 0. Factor n(r).
(r - 1)**3*(r + 2)/3
Factor 5*c**3 - 225*c**2 - 16875 + 1110*c + 1226*c + 26*c + 1013*c.
5*(c - 15)**3
Let p(h) = -16*h. Let c be p(-1). Suppose 4*u + 3*l - c = 0, 2*u - 2*l - 3*l = 34. Factor 2*r**2 + 3*r - 17*r**2 - 3 - u*r - 6*r**3 - 8*r.
-3*(r + 1)**2*(2*r + 1)
Let s = 153/19 - 708/95. Factor -s*a**2 - 12/5 + 12/5*a.
-3*(a - 2)**2/5
Let v(s) = -4*s**2 + 32*s + 52. Let k(m) = m**2 - 11*m - 17. Suppose -p + 5*p = 3*c - 11, c = -5*p - 28. Let q(u) = p*v(u) - 16*k(u). Solve q(r) = 0 for r.
-3, -1
Let d(t) be the third derivative of t**7/1890 - t**6/216 + 2*t**5/135 - t**4/54 + t**2 - 37*t. Factor d(n).
n*(n - 2)**2*(n - 1)/9
Let v be 40/300 - (4 + (-21)/5). Let n(d) be the second derivative of 8*d**2 + v*d**4 - 12*d + 0 - 8/3*d**3. Factor n(z).
4*(z - 2)**2
Let v(r) be the first derivative of 2*r**3/15 - 3*r**2/5 - 4*r - 361. Suppose v(i) = 0. Calculate i.
-2, 5
Let h(s) = s**3 + 30*s**2 - 49*s + 25. Let v(y) = 32*y**2 - 66*y**2 + 16*y - 8 + 24*y**2. Let g(k) = 4*h(k) + 14*v(k). Solve g(o) = 0 for o.
1, 3
Solve -226/5*i**2 + 431/5*i**3 + 37/5*i - 468/5*i**5 + 228/5*i**4 - 2/5 = 0 for i.
-1, 2/13, 1/6, 1
Let i(m) be the second derivative of 1/12*m**4 + m**3 - 11*m + 0*m**2 - 1/20*m**5 + 0. Solve i(j) = 0.
-2, 0, 3
Let a(u) = 2*u - 23. Let v be a(12). Suppose -j = -4, 5 = -4*l + 4*j + v. Suppose 0 + 3/2*t**l + 0*t**2 - 3/2*t = 0. Calculate t.
-1, 0, 1
What is o in -34*o + 38*o**2 + 14*o**3 - 29*o**3 + 24 - 2*o**4 + 11*o**3 - 22*o = 0?
-6, 1, 2
Let p(c) = 453*c**4 - 2040*c**3 + 2789*c**2 - 1085*c + 128. Let b(w) = w**4 - w**2 + w. Let r(t) = 3*b(t) - p(t). Factor r(j).
-2*(j - 2)**2*(15*j - 4)**2
Let c(u) = u**3 - 5*u**2 + u + 1. Let v = 13 + -8. Let l be c(v). Suppose 3*k - k - k**4 - l*k**2 - k**4 + 6*k**3 = 0. Calculate k.
0, 1
Solve 7