+ 0*t + 0 + 1/12*t**4 + 2*t**2 + 1/6*t**3. Determine z, given that g(z) = 0.
-1
Let w = -32 + 48. Factor k**5 + w*k + 0*k**5 - k**3 - 16*k.
k**3*(k - 1)*(k + 1)
Suppose 6*j**4 - 11*j**3 + 22*j**3 + 6*j**2 + 0*j**3 + j**5 = 0. Calculate j.
-3, -2, -1, 0
Factor 0*n**3 + 74*n**2 + 91*n**2 - 1815*n + 11291 - 4636 - 5*n**3.
-5*(n - 11)**3
Let u be (-45)/30*(-1 - (-10)/12). Factor -3*k - u*k**3 + 3/2*k**2 + 2.
-(k - 2)**3/4
Solve 33/7*q**2 + 9/7*q**5 + 57/7*q**3 + 6/7*q + 0 + 39/7*q**4 = 0 for q.
-2, -1, -1/3, 0
Factor -8*t**2 + 6*t**2 - 18*t - t**2.
-3*t*(t + 6)
Let f be (-1)/5 + 126/30. Factor -w - 18*w**3 + 3*w - 7*w**f + 7*w**2 + 16*w**3.
-w*(w - 1)*(w + 1)*(7*w + 2)
Suppose -165 = 21*s - 76*s. Solve 8/9*y**2 + 2/9*y**s + 4/9 + 10/9*y = 0.
-2, -1
Factor 2*o**2 - 414 - 136*o + 56*o + 585 + 629.
2*(o - 20)**2
Let m = -15 - -17. Find l, given that 3*l**3 + m*l**4 + 0*l**3 - 2*l**3 + 0*l**4 + l**5 = 0.
-1, 0
Let k be (-9)/6*4/3. Let b be (-1 - k)*(-6 + 9). Solve -2/7*r**4 + 0 + 2/7*r - 2/7*r**b + 2/7*r**2 = 0 for r.
-1, 0, 1
Let x = 37 - 34. Factor -2/5*y**2 + 4/5*y - 2/5*y**x + 0.
-2*y*(y - 1)*(y + 2)/5
Let q(d) be the first derivative of -3*d**5/20 - 3*d**4/2 - 6*d**3 - 12*d**2 - 12*d + 13. Factor q(k).
-3*(k + 2)**4/4
Let t(b) be the first derivative of -b**3/15 + b**2/10 + 10. What is v in t(v) = 0?
0, 1
Let d be 1*(-2)/12*-4. Determine t so that 2/9*t**2 - d*t**3 + 0 + 4/9*t = 0.
-2/3, 0, 1
Determine i, given that i - 9/2*i**2 + 9/2*i**4 + i**3 - 2*i**5 + 0 = 0.
-1, 0, 1/4, 1, 2
Let x be 34/24 + ((-14)/21)/1. Factor -1/2 + x*r - 1/4*r**2.
-(r - 2)*(r - 1)/4
Let s(h) be the first derivative of h**6/15 + 16*h**5/25 + 5*h**4/2 + 76*h**3/15 + 28*h**2/5 + 16*h/5 + 9. Determine r, given that s(r) = 0.
-2, -1
Factor 6*g + 2*g**2 - 11*g + 18*g**2 - 5*g**3 - 17 - 13.
-5*(g - 3)*(g - 2)*(g + 1)
Let k(m) = -m**2 + m. Let y(t) = 2*t**2 - 4*t + 2. Suppose -5*o + 42 - 112 = 0. Let j(a) = o*k(a) + 2*y(a). Determine z so that j(z) = 0.
2/9, 1
Let i be 0*2/(-4) - (-4 + 1). Let w(y) be the first derivative of 0*y + 1/2*y**4 - 1 + 2/3*y**i + 0*y**2. Suppose w(q) = 0. Calculate q.
-1, 0
Determine d, given that 0 - 3/8*d**3 + 0*d + 3/8*d**5 - 3/8*d**2 + 3/8*d**4 = 0.
-1, 0, 1
Let t(h) be the third derivative of 1/18*h**4 - 6*h**2 + 1/360*h**6 + 0 + 0*h - 1/45*h**5 + 0*h**3. Solve t(x) = 0 for x.
0, 2
Suppose -1 + 5 = 4*m, 4*m = 2*o. Let a(r) be the first derivative of -1/21*r**6 - 1 + 0*r + 4/35*r**5 + 0*r**o + 0*r**3 - 1/14*r**4. Factor a(p).
-2*p**3*(p - 1)**2/7
Let b = -384 - -1165/3. Find v such that 0 + b*v**2 + 2/3*v + 20/3*v**3 = 0.
-2/5, -1/4, 0
Suppose -3*k = -4*g + 7 + 24, g = 2*k + 14. Let o be (-1)/k - (-1)/(-5). Suppose 1/2*t**2 - t + o = 0. Calculate t.
0, 2
Let p(h) = -h**3 - 5*h**2 - h - 2. Suppose 4*o + 19 = -3*n, -4*n + 3*n - 4*o = 9. Let b be p(n). Factor 0*v**4 - v**3 + 2*v - v**b - 2*v**2 + 2*v**4 + 0*v**2.
2*v*(v - 1)**2*(v + 1)
Suppose 25 = 10*x - 5*x. Suppose -23 + x = -6*o. Factor 3*y**2 - 3/2*y**o + 0 - 3/2*y.
-3*y*(y - 1)**2/2
Let p(k) be the third derivative of -k**7/280 - k**6/160 + 6*k**2. Factor p(v).
-3*v**3*(v + 1)/4
Let j be ((-20)/(-30))/((-2)/(-9)). Let -35*c**2 + 4*c - 14*c**5 + 42*c**j + 4*c**4 + 7*c - 5*c**2 - 3*c = 0. Calculate c.
-2, 0, 2/7, 1
Let g be 14/49 - 2409/(-168). Let j = -537/40 + g. Find z such that -12/5*z**2 - 8/5*z - 1/5*z**4 + 0 - j*z**3 = 0.
-2, 0
Let g(f) be the third derivative of f**5/12 - 5*f**3/6 + 11*f**2. Suppose g(m) = 0. What is m?
-1, 1
Let j = 7 + -3. Let p be (2 + -4)/j - -1. Factor -1/2*y**4 - 5/2*y + 1 + p*y**3 + 3/2*y**2.
-(y - 1)**3*(y + 2)/2
Let r = -39 + 41. Suppose 1/2*q**2 + r - 2*q = 0. What is q?
2
Let b(i) be the first derivative of -i**6/120 + i**4/24 - i**2/8 + 3*i - 2. Let z(c) be the first derivative of b(c). Let z(v) = 0. Calculate v.
-1, 1
Let g(p) be the second derivative of -p**8/3360 + p**7/630 - p**6/360 + p**4/12 + 2*p. Let v(o) be the third derivative of g(o). Factor v(s).
-2*s*(s - 1)**2
Let h = -105 - -108. Let d(u) be the second derivative of 3*u + 1/4*u**h + 0 - 1/16*u**4 - 3/8*u**2. What is x in d(x) = 0?
1
Suppose 26/3*y**2 + 8/3 + 2/3*y**4 + 4*y**3 + 8*y = 0. Calculate y.
-2, -1
Let i(p) = p**3 + 9*p**2 + 6*p - 2. Let x be i(-8). Factor 3*b**4 - x*b**3 + b**4 + 9*b**2 + 2*b**4 - 2*b + b**2.
2*b*(b - 1)**2*(3*b - 1)
Let c(q) be the third derivative of -q**8/168 + q**7/70 + q**6/120 - q**5/20 + q**4/24 - 31*q**2. Find h such that c(h) = 0.
-1, 0, 1/2, 1
Let c(k) = -k**3 - k + 1. Let g(f) = f**2 + 1 + 2*f - 3 + 5*f**3 - 4*f**3. Let m(b) = 4*c(b) + 2*g(b). Factor m(z).
-2*z**2*(z - 1)
Let n(u) be the second derivative of 1/2*u**3 + 0 + 0*u**2 + u - 1/4*u**4. Find w, given that n(w) = 0.
0, 1
Let x(l) be the first derivative of l**6/1620 + l**5/90 + l**4/12 + l**3/3 + 3. Let r(t) be the third derivative of x(t). Determine i so that r(i) = 0.
-3
Let k(w) be the second derivative of -w**7/735 - w**6/84 - w**5/35 + w**4/21 + 8*w**3/21 - 2*w**2 - 6*w. Let n(o) be the first derivative of k(o). Factor n(p).
-2*(p - 1)*(p + 2)**3/7
Let -2 + 4 + 1 - 3*j**2 = 0. What is j?
-1, 1
Let v(r) = 5*r**4 + 24*r**3 + 4*r**2. Let m(b) = 30*b**4 + 145*b**3 + 25*b**2. Let k(s) = 4*m(s) - 25*v(s). Solve k(j) = 0.
-4, 0
Factor -3*u**4 + 132*u**5 + 130*u**5 - 265*u**5.
-3*u**4*(u + 1)
Let l(w) = -w + 9. Let m be l(11). Let z be 2/(0 + (m - -3)). Factor -p + 0*p**z - 4*p**5 + 1 + p**4 + 2*p**3 + 0*p + 3*p**5 - 2*p**2.
-(p - 1)**3*(p + 1)**2
Suppose -23*l = -18*l. Let n = -1 - -7. Solve -1 + l - 4*j**2 + 1 - n*j**3 = 0 for j.
-2/3, 0
Let i(m) = m**3 + 11*m**2 - 27*m - 11. Let w be i(-13). What is p in 8/3 - 4*p + 4/3*p**w = 0?
1, 2
Let i(f) = -f**3 - 1. Suppose 0 = -l, 2 + 1 = -3*c + 2*l. Let k(y) = -7*y**3 + 4*y**2 - 2*y - 5. Let a(s) = c*k(s) + 5*i(s). Suppose a(b) = 0. What is b?
0, 1
Factor -69*w**2 + 74*w**2 + 12*w + w - 60 + 7*w.
5*(w - 2)*(w + 6)
Suppose 3*g - 7 = 3*x - 4, 3 = -2*g - 3*x. Let l(w) be the second derivative of 1/16*w**4 + g*w**2 - w + 0 + 1/8*w**3. What is j in l(j) = 0?
-1, 0
Let m(p) be the third derivative of -p**5/330 - p**4/22 - 3*p**3/11 - 3*p**2. Factor m(w).
-2*(w + 3)**2/11
Suppose -2/11*j**4 + 6/11*j**3 + 4/11 - 2/11*j**2 - 6/11*j = 0. What is j?
-1, 1, 2
Let a be 2/5 - (-44)/90. Suppose -20*m + 13*m = -35. Suppose a*v + 14/3*v**2 - 8/9 - 64/9*v**4 - 8/3*v**m - 14/9*v**3 = 0. Calculate v.
-2, -1, -2/3, 1/2
Let o(g) = -11*g**2 - 7*g + 8. Let v(c) = -7*c**2 - 4*c + 5. Let p(i) = -5*o(i) + 8*v(i). Solve p(y) = 0.
0, 3
Let c(y) = y**2 - 27*y + 50. Let r be c(25). Find z such that r + 0*z + 2/11*z**2 = 0.
0
Let x(m) be the third derivative of m**5/210 + 3*m**4/14 + 27*m**3/7 - 17*m**2. Factor x(u).
2*(u + 9)**2/7
Factor -2 + 8*o - 37*o**2 + 41*o**2 - 10.
4*(o - 1)*(o + 3)
Let h(w) be the first derivative of w**7/105 + w**6/30 + w**5/30 - 5*w**2/2 - 5. Let i(o) be the second derivative of h(o). Factor i(p).
2*p**2*(p + 1)**2
Let u(y) be the first derivative of -4*y**3/3 - 6*y**2 + 16. What is r in u(r) = 0?
-3, 0
Let l(m) be the second derivative of -m**6/135 + m**5/90 + m**4/9 + 37*m. Solve l(o) = 0.
-2, 0, 3
Suppose -2*n + c = -6, -4*n + c + 5 + 5 = 0. Let z(s) be the second derivative of 2/3*s**3 + 0 + 1/3*s**4 - 2*s + 1/20*s**5 + 0*s**n. Let z(b) = 0. Calculate b.
-2, 0
Let u(h) be the second derivative of h**6/6 + h**5 + 25*h**4/12 + 5*h**3/3 - 2*h + 3. Factor u(b).
5*b*(b + 1)**2*(b + 2)
Let i be (-3)/(12/(-8)) + 1. Let v(t) be the third derivative of -5/84*t**4 + 0 + 1/70*t**5 - 2/21*t**i + t**2 + 0*t. Find r, given that v(r) = 0.
-1/3, 2
Factor -n**5 - 6*n**2 + 0*n**5 - n**4 - n**3 + 2*n + 4*n**4 + 3*n**2.
-n*(n - 2)*(n - 1)**2*(n + 1)
Suppose 8 = 2*y - 4*n, -4*n = 2*y + y - 2. Suppose 3*r = r + y. What is c in -r - 2*c + 2*c**2 + 1 = 0?
0, 1
Let b = -17 + 23. Let -17*z**2 + 4*z**4 - 7*z**2 + b*z**5 + 0*z**5 - 18*z**3 - 8*z = 0. What is z?
-1, -2/3, 0, 2
Let o(z) = z - 1. Let s be o(5). Let r(p) = p**3 - 3*p**2 - 5*p + 4. Let v be r(s). Factor v*b**3 + 2/3*b**2 + 0*b - 2/3*b**4 + 0.
-2*b**2*(b - 1)*(b + 1)/3
Let w(f) be the second derivative of -49*f**5/4 - 385*f**4/12 - 80*f**3/3 - 10*f**2 - 34*f. Factor w(z).
-5*(z + 1)*(7*z + 2)**2
Let v(z) = -5*z**2 - z - 8. Let w(x) = -x**2 + 6*x + 3. Let t be w(8). Let g(o) = 11*o**2 + 2*o + 17. Let h(b) = t*v(b) - 6*g(b