2)/129. Let r be 1*(-6)/(q*-36). Determine d, given that 1/6*d**2 + 0 - r*d**4 - 1/3*d + 1/3*d**3 = 0.
-1, 0, 1, 2
Determine a, given that 124/7*a**2 + 0 - 6/7*a - 118/7*a**3 = 0.
0, 3/59, 1
Suppose -47*f + 7*f + 64 = -8*f. Factor 3/10*j + 1/10*j**f + 1/5.
(j + 1)*(j + 2)/10
Let l(i) = i**3 - 2*i**2 + 2*i + 2. Let b(z) = -4*z**3 + 7*z**2 - 9*z - 9. Let f(r) = -2*b(r) - 9*l(r). Determine g, given that f(g) = 0.
0, 4
Let -60/11 + 2/11*w**2 - 26/11*w = 0. What is w?
-2, 15
Factor 12*c**2 + c**3 + c**3 + 34728*c + 2*c**3 - 34744*c.
4*c*(c - 1)*(c + 4)
Let c(s) be the second derivative of -2/3*s**3 + 0 + 1/5*s**5 + 22*s - 2*s**2 + 1/3*s**4. Factor c(w).
4*(w - 1)*(w + 1)**2
Let z(u) = -57*u**3 - 135*u**2 - 369*u - 192. Let l(a) = -19*a - 7*a**3 - 22 - 17*a**2 - 19*a - 8*a - 2. Let f(k) = -33*l(k) + 4*z(k). Factor f(s).
3*(s + 1)*(s + 2)*(s + 4)
Let k = -150/37 - -337/74. Find r such that k*r**2 + 0 - 2*r = 0.
0, 4
Suppose 44/9 - 98/9*k**3 + 4/9*k**4 + 76/3*k**2 - 178/9*k = 0. Calculate k.
1/2, 1, 22
Suppose 5*q + 223 = -3*q + 239. Determine h, given that 2/3*h**q + 20/3*h + 50/3 = 0.
-5
Let a be (-49)/(-245) + (-1 - (-548)/10). Let q be (-3)/(1/1) + 180/a. Factor 0 + 2/3*j + q*j**2.
j*(j + 2)/3
Let 64/5*m**2 + 0 - 12/5*m**3 + 2/5*m**5 - 2*m**4 + 64/5*m = 0. Calculate m.
-2, -1, 0, 4
Suppose -9*y + 4 = -23. Suppose 3*w = q + 7, -w + 9 = -0*w + y*q. Suppose 0 + 2/5*c**w + 6/5*c**2 + 4/5*c = 0. What is c?
-2, -1, 0
Let u(c) be the second derivative of -c**6/6 + 3*c**5/4 - 5*c**4/12 - 5*c**3/2 + 5*c**2 + 30*c + 5. Factor u(m).
-5*(m - 2)*(m - 1)**2*(m + 1)
Let x(b) be the third derivative of -b**5/210 - 10*b**4/21 - 400*b**3/21 - 4*b**2 + 2*b. Factor x(v).
-2*(v + 20)**2/7
Suppose -2*q = -6, 10*q - 280 = o + 5*q. Let c = -265 - o. Determine k so that c - 2/5*k**2 + 0*k**3 + 2/5*k**4 + 0*k = 0.
-1, 0, 1
Let i = 5276/3 - 1756. Let r(y) be the second derivative of -4/9*y**3 - i*y**2 + 0 + 13*y - 1/36*y**4. Find f such that r(f) = 0.
-4
Suppose -27 = -18*i + 9*i. Let f(l) be the first derivative of -l**i + 4 + 1/4*l**4 + 3/2*l**2 - l. Factor f(w).
(w - 1)**3
Let r(v) be the first derivative of -v**5/5 - 3*v**4 - 10*v**3/3 + 6*v**2 + 11*v - 33. Determine g, given that r(g) = 0.
-11, -1, 1
Let g(r) = 5*r - 66. Let n be g(-20). Let k = -164 - n. Factor 1/3*p**k + 0 - 1/3*p**3 + 0*p.
-p**2*(p - 1)/3
Suppose -36*q**2 + 10*q**5 - 23*q**3 - 43*q**3 + 5*q**5 + 24*q + 14*q**4 - 5*q**4 = 0. Calculate q.
-2, -1, 0, 2/5, 2
Let c(n) = -11*n**3 - 21*n**2 + 11*n + 21. Let y be (-3)/6*(4 - 2). Let u(s) = -s**3 - s**2 + s + 1. Let t(d) = y*c(d) + 6*u(d). Factor t(k).
5*(k - 1)*(k + 1)*(k + 3)
Determine g so that -104/3 - 256/3*g + 10/3*g**2 = 0.
-2/5, 26
Let s(z) = z**2 + z + 3. Let w(o) be the second derivative of -o**2 + 2*o. Let a(g) = 2*s(g) + 3*w(g). What is t in a(t) = 0?
-1, 0
Let i(n) = -7*n**4 - 64*n**3 - 104*n**2 - 64*n - 2. Let a(g) = 3*g**4 + 32*g**3 + 52*g**2 + 32*g. Let r(v) = -10*a(v) - 6*i(v). Factor r(c).
4*(c + 1)**2*(c + 3)*(3*c + 1)
Let d(i) be the second derivative of i**7/147 - i**6/105 - 3*i**5/35 + 2*i**4/21 + 8*i**3/21 + 540*i. Determine l, given that d(l) = 0.
-2, -1, 0, 2
Solve -45/2*s**2 - 105*s - 110 + 5/4*s**3 = 0 for s.
-2, 22
Let z be 15 - (-13)/((-52)/36). Factor -3*w**3 - z - 3/2*w**4 + 6*w + 9/2*w**2.
-3*(w - 1)**2*(w + 2)**2/2
Let g(c) = 3*c**2 - 26*c - 325. Let b be g(-7). Factor -b*m - 4/3*m**2 - 8/3.
-4*(m + 1)*(m + 2)/3
Let w = 1300 - 3899/3. Factor -5/6*l**3 + 0 + 7/6*l**2 - w*l.
-l*(l - 1)*(5*l - 2)/6
Let p(w) be the first derivative of 2*w**3/3 - 290*w**2 + 42050*w - 543. Factor p(n).
2*(n - 145)**2
Let g(p) be the first derivative of 5*p**2 - 8*p - 2/3*p**3 + 18. Factor g(w).
-2*(w - 4)*(w - 1)
Solve -32/15*h - 32/15 + 2/15*h**3 + 2/15*h**2 = 0.
-4, -1, 4
Factor 4*r**4 - 45*r**3 + 6*r**2 - 30*r**2 + 16*r + 29*r**3 + 20.
4*(r - 5)*(r - 1)*(r + 1)**2
Let q = -589 - -594. Let k(i) be the second derivative of 1/84*i**7 + 1/40*i**5 + 0*i**4 + q*i + 1/30*i**6 + 0*i**2 + 0*i**3 + 0. Find w such that k(w) = 0.
-1, 0
Let j(t) be the first derivative of -t**4/4 + 3*t**3/2 - 3*t**2 - 7*t + 4. Let v(i) be the first derivative of j(i). Factor v(m).
-3*(m - 2)*(m - 1)
Let j(n) be the third derivative of -n**8/112 - n**7/70 + n**6/20 + n**5/10 - n**4/8 - n**3/2 - 31*n**2 - 2. Factor j(k).
-3*(k - 1)**2*(k + 1)**3
Let t(i) be the first derivative of 5*i**4/4 - 670*i**3/3 + 10880*i**2 + 46240*i + 589. Let t(d) = 0. What is d?
-2, 68
Suppose -710*f + 226 = -636*f + 78. Factor 0 + f*s**2 + 2/3*s**3 + 4/3*s.
2*s*(s + 1)*(s + 2)/3
Let j(l) = -7*l - 3. Let u be j(-1). Suppose -3*g + u + 2 = 0. Factor g*t**5 + 4*t**4 - 6*t**3 - t**2 - 2*t**4 - 9*t**2 - 4*t + 0*t**3.
2*t*(t - 2)*(t + 1)**3
Let f(d) = -d. Let k(u) = -3*u**2 + 12. Let l(h) = -5*f(h) - k(h). Let v(x) = -2*x**2 - 2*x + 6. Let q(i) = 3*l(i) + 5*v(i). Factor q(z).
-(z - 3)*(z - 2)
Let j(z) be the first derivative of 169*z**5/3 - 715*z**4/6 - 500*z**3/9 - 20*z**2/3 + 214. Factor j(a).
5*a*(a - 2)*(13*a + 2)**2/3
Let a(z) be the third derivative of 0 + 0*z**7 + 0*z - 1/1512*z**8 + 1/270*z**6 + 0*z**5 - 1/108*z**4 + 0*z**3 + 22*z**2. Solve a(t) = 0.
-1, 0, 1
Let p(j) be the third derivative of -1/3528*j**8 + 0*j + 0*j**3 - 1/210*j**6 - 1/252*j**4 - 4/2205*j**7 + 0 - 3*j**2 - 2/315*j**5. Factor p(o).
-2*o*(o + 1)**4/21
Let k(q) be the second derivative of q**5/300 - 2*q**3/15 - 25*q**2/2 - 21*q. Let z(m) be the first derivative of k(m). Solve z(x) = 0 for x.
-2, 2
Let a(u) = -25*u**3 + 58*u**2 - 38*u + 8. Suppose 34*s + 15 = 39*s. Let y(f) = f**2 - f + 1. Let x(r) = s*y(r) - a(r). Factor x(d).
5*(d - 1)**2*(5*d - 1)
Let q(i) be the first derivative of i**4/8 - 7*i**3/6 - 2*i**2 - 203. Determine h, given that q(h) = 0.
-1, 0, 8
Let t(i) be the first derivative of 6 + 1/12*i**2 - 1/24*i**4 + 0*i**3 + 0*i. Find j, given that t(j) = 0.
-1, 0, 1
Let h be (-32)/(-512)*(7 - -1). Suppose h*c - 1/8 + 1/2*c**3 - 1/8*c**4 - 3/4*c**2 = 0. Calculate c.
1
Let q be 0/(-2) - 99/(-11). Factor -6*a**2 + q*a**2 + 12 + a**2 + 11*a + 5*a.
4*(a + 1)*(a + 3)
Let q(z) be the second derivative of z**5/4 + 5*z**4/3 + 10*z**3/3 + z - 42. What is k in q(k) = 0?
-2, 0
Let l(v) be the second derivative of v**6/60 + 13*v**5/40 - 2*v**4 - 960*v. Suppose l(a) = 0. Calculate a.
-16, 0, 3
Suppose -3*t - 706 = -715. Let j(y) be the second derivative of 0 + t*y + 0*y**4 + 1/5*y**5 - 2/3*y**3 + 0*y**2. Suppose j(s) = 0. What is s?
-1, 0, 1
Suppose 4*z + 2 = -2. Let s = z - -3. Solve -3*i**5 + i**5 + 4*i**4 + 6*i**3 + 8*i - 3*i**2 - 13*i**s = 0 for i.
-2, 0, 1, 2
Let n(r) = -2*r**4 - r**3 + r**2 + r + 1. Let y(j) = -7*j**4 + 9*j**3 - 11*j**2 - 9*j + 18. Let p(h) = 20*n(h) - 5*y(h). Factor p(c).
-5*(c - 1)**2*(c + 1)*(c + 14)
Suppose -3*l = 4*x - l - 22, -4*x - 13 = -5*l. Let r(g) be the second derivative of -g + 0 + 0*g**x + 0*g**2 - 1/30*g**4. Factor r(m).
-2*m**2/5
Let x be ((420/39)/5 + -2)/(-4). Let i = x - -15/52. Suppose 1/4*o**5 + 0*o - i*o**3 + 0 - 1/4*o**4 + 1/4*o**2 = 0. What is o?
-1, 0, 1
Let o(b) = b**4 - b**3 + b**2 - b + 2. Let h(y) = -2*y**5 + 11*y**4 + 3*y**3 - 38*y**2 + 10*y + 20. Let w(j) = -3*h(j) + 6*o(j). Let w(t) = 0. What is t?
-2, -1/2, 1, 2, 4
Let r(j) = -14*j**3 + 9*j**2 + 17. Let q(n) = -5*n**3 + 3*n**2 + 6. Suppose -5*x + x - 68 = 0. Let d(h) = x*q(h) + 6*r(h). Suppose d(a) = 0. Calculate a.
-3, 0
Let u = 674 - 674. Let c(i) be the second derivative of u*i**2 + 1/60*i**5 - 7*i + 0 + 0*i**4 - 1/18*i**3. Let c(s) = 0. Calculate s.
-1, 0, 1
Factor 3084*p**3 - 16*p**2 - 29*p + 3074*p**3 - 6159*p**3 - 14.
-(p + 1)**2*(p + 14)
Let i be ((-10)/(-72))/((-130)/(-52)). Let y(l) be the first derivative of 0*l**5 - i*l**6 + 1/12*l**4 + 0*l + 0*l**2 + 0*l**3 - 2. Factor y(d).
-d**3*(d - 1)*(d + 1)/3
Let x be (-4 + 1)/(-1 - 0). Let n(s) = -5*s**3 + 5*s**2 + 0*s**2 + 3*s**3 + x*s**3 - 4*s. Let b(w) = -w**2 + w. Let i(y) = -4*b(y) - n(y). Factor i(k).
-k**2*(k + 1)
Let h(t) be the third derivative of -t**6/1200 + t**5/300 + t**4/80 - 94*t**2. Suppose h(j) = 0. What is j?
-1, 0, 3
Let k be (0/(-1))/(7/7). Suppose 0 = 3*h - k*h - 15. Factor -4*y**4 + 4*y**2 + 5*y**4 - h*y**2.
y**2*(y - 1)*(y + 1)
Let z = 111 - 46. Let l = z + -63. Suppose 2/11*v**l + 2/11*v - 4/11 = 0. What is v?
-2, 1
Let k(j) = 13*j**3 + 31*j**2 + 18