)). Let b*z + 6 - 15*z**2 + 4*z - 2*z - 2 = 0. What is z?
-2/5, 2/3
Let b be (-18)/(-12)*(-4)/(-3). Find i, given that 0*i + i**3 - b*i**2 + 2 + 0*i**2 + 0*i - i = 0.
-1, 1, 2
Suppose -4*k - 11 = 5. Let g be (4/(-5))/(k/10). Suppose -2 + x - 3*x**5 - 4*x**4 + 4*x**3 + 9*x**2 - 3*x**g - 2*x = 0. What is x?
-1, 2/3, 1
Let h(t) be the first derivative of 0*t**3 + 0*t**2 + 0*t + 0*t**5 + 0*t**4 + 3 + 1/9*t**6. Factor h(j).
2*j**5/3
Suppose 4*m - 15 = -m. Determine f so that 2*f + m - 4*f**2 - 1 + 2*f**4 + 2*f**5 + 0*f**4 - 4*f**3 = 0.
-1, 1
Suppose k = -16*k + 34. What is b in -1/4*b**k + 2*b - 4 = 0?
4
Let k(z) = z**3. Let v = 2 + 0. Let h(r) = -r - 2 + 6*r**2 - r**2 - 9*r**3 + 0*r**v + 3*r**2. Let y(u) = -h(u) - 4*k(u). Determine w, given that y(w) = 0.
-2/5, 1
Let p(y) = -y**3 + 4*y**2 - 7. Let j be p(3). Suppose -1 = -2*t - u, j*t - 2*u + 2 = -0*t. Let 2/7*d**2 - 2/7 + t*d = 0. Calculate d.
-1, 1
Let b(i) = -2*i - 22. Let p be b(-13). Factor -8*f**2 - 26/3*f**3 - 4*f**p + 0 - 8/3*f - 2/3*f**5.
-2*f*(f + 1)**2*(f + 2)**2/3
Suppose 5*m = -4*t + 20, -5 = m - t - 0*t. Let j be m + 0 - (-18)/27. Let 0*n + 0 + j*n**4 + 4/3*n**3 + 0*n**2 = 0. What is n?
-2, 0
Factor -7*l**4 + 4*l**3 + 4*l**2 - 4*l + 3*l**4 + 0*l.
-4*l*(l - 1)**2*(l + 1)
Let n(s) = s + 4 + s + 6*s**2 - 3. Let c(j) = -5*j**2 - 2*j - 1. Let l(z) = 5*c(z) + 4*n(z). Factor l(f).
-(f + 1)**2
Let z be ((-72)/14)/((70/(-45))/7). Suppose -72/7*p - 8/7 - z*p**2 = 0. What is p?
-2/9
Suppose 24 + 2*c**2 - c**3 - 24 = 0. Calculate c.
0, 2
Let n(q) = q**3 + 5*q**2 + 4*q + 3. Let r = 2 + -6. Let x be n(r). Factor -4*k**2 - 2/7 - 18/7*k**4 + 12/7*k + 32/7*k**x + 4/7*k**5.
2*(k - 1)**4*(2*k - 1)/7
Let h(c) be the second derivative of 1/150*c**6 + 1/25*c**5 + 4*c + 1/10*c**4 + 2/15*c**3 + 0 + 1/10*c**2. Factor h(j).
(j + 1)**4/5
Let h(f) be the third derivative of -f**7/12600 + f**6/1800 - f**5/600 - f**4/3 + 3*f**2. Let s(a) be the second derivative of h(a). Let s(r) = 0. What is r?
1
Let k(s) be the second derivative of -s**5/2 - 4*s**4 - 28*s**3/5 - 16*s**2/5 + 6*s - 5. Find i, given that k(i) = 0.
-4, -2/5
Let s = -2/15 - -23/60. Let b = 37/20 - s. Suppose 16/5*p**2 + 0 - b*p + 2*p**3 = 0. Calculate p.
-2, 0, 2/5
Let v(q) be the first derivative of q**5 - 15*q**4/4 + 10*q**3/3 + 26. Suppose v(p) = 0. Calculate p.
0, 1, 2
Let r(z) be the first derivative of 0*z**2 + 0*z**3 - 1/2*z**6 + 6/5*z**5 + 0*z + 2 - 3/4*z**4. Determine m, given that r(m) = 0.
0, 1
Let u(x) be the third derivative of -x**11/1330560 + x**10/604800 - x**5/30 - x**2. Let c(r) be the third derivative of u(r). What is z in c(z) = 0?
0, 1
Let c(d) be the first derivative of -d**6/540 - d**5/180 + d**3/3 + 3. Let z(r) be the third derivative of c(r). Factor z(l).
-2*l*(l + 1)/3
Let b(s) = -s**2 - 6*s + 1. Let y be b(-5). Let c be (-2 - (-38)/18)*y. Factor -2/9 - 2/3*h - 2/9*h**3 - c*h**2.
-2*(h + 1)**3/9
Suppose 0*q + 5*q - 25 = 0. Suppose -2*g + 0*w = -3*w + 3, w = 3. Determine r so that 7*r**2 - r**g - q*r**2 + r + 0*r - 2 = 0.
-1, 1, 2
Let s(r) be the second derivative of 1/66*r**4 - 8*r - 2/11*r**2 + 1/33*r**3 + 0. Determine n so that s(n) = 0.
-2, 1
Factor 0*g + 0 + 0*g**2 - 2/17*g**3.
-2*g**3/17
Let o(s) be the third derivative of s**2 + 0 - 1/720*s**6 - 1/240*s**5 + 0*s**4 + 0*s - 1/6*s**3. Let z(p) be the first derivative of o(p). Factor z(g).
-g*(g + 1)/2
Let l be -9*128/(-60) + 2 + -5. Factor -81/5 - l*h - 27/5*h**2 - 3/5*h**3.
-3*(h + 3)**3/5
Let s = -11 + 13. Factor -3*a**2 + 4 + 4*a**2 - a**s - 3*a**2 - a**3.
-(a - 1)*(a + 2)**2
Let l(g) be the first derivative of -2*g**5/15 - g**4/2 - 2*g**3/3 - g**2/3 + 13. Factor l(a).
-2*a*(a + 1)**3/3
Let x(r) = 2*r - 1. Let h be x(3). Suppose -f = -b - 2, -2*f - 2*b + 21 = h. Factor l**2 + f - l - 5.
l*(l - 1)
Let l be (-24)/(-9)*21/(-2). Let i be (-16)/l*(-21)/(-18). Solve -2/3*u**3 - i*u**4 + 2/3*u**5 + 0 + 2/3*u**2 + 0*u = 0.
-1, 0, 1
Suppose 18 = -5*q - 52. Let d be q/(-3) + -3 + 0. Suppose -4/3*b**2 - 1/3 - d*b = 0. Calculate b.
-1, -1/4
Let p(o) be the first derivative of -6 - 4*o**3 + 3/4*o**4 + 15/2*o**2 - 6*o. Factor p(r).
3*(r - 2)*(r - 1)**2
Factor 4/3*u + 0 + 2/3*u**4 + 2*u**3 - 2/3*u**5 - 10/3*u**2.
-2*u*(u - 1)**3*(u + 2)/3
Let g = 141 - 64. Let p be (396/g)/(1 + 1). Factor -p*t**5 + 0 + 4/7*t**2 + 0*t - 26/7*t**3 + 48/7*t**4.
-2*t**2*(t - 2)*(3*t - 1)**2/7
Let c(z) = 2*z**2 - 2*z - 2. Let b be c(2). Determine f so that 0*f - 2*f - 3*f**b + 5*f = 0.
0, 1
Let n(y) be the second derivative of -1/90*y**5 + 1/27*y**3 - 2*y + 1/54*y**4 + 0 - 1/9*y**2. Find z such that n(z) = 0.
-1, 1
Let l(d) = -d**4 + 1. Let n(w) = w - 7. Let z be n(9). Let x(t) = -3*t**4 - 3*t**3 - 2*t**2 + 2. Let v(b) = z*l(b) - x(b). Find i such that v(i) = 0.
-2, -1, 0
Let z be (-12)/(-66) + (-2011)/(-11). Let j = z + -1279/7. Factor 0*f**3 + 0*f + j*f**4 - 4/7*f**2 + 2/7.
2*(f - 1)**2*(f + 1)**2/7
Let a be -2 - -1 - (26 + -1). Let b = a + 53/2. Determine h so that -b*h**3 - 1/4 + 1/4*h**2 + 1/2*h = 0.
-1, 1/2, 1
Let s be (-2642)/(-18) + 10/45. Suppose -12 + 12 + 12*p**2 - 84*p**3 + s*p**4 = 0. What is p?
0, 2/7
Let a(c) be the first derivative of -c**6/180 + c**5/20 - c**4/6 + 7*c**3/3 + 6. Let k(u) be the third derivative of a(u). Suppose k(h) = 0. Calculate h.
1, 2
Let t(n) be the third derivative of -n**7/1155 + 7*n**6/660 - n**5/22 + 3*n**4/44 - 30*n**2. Factor t(i).
-2*i*(i - 3)**2*(i - 1)/11
Let f(z) be the third derivative of 1/9*z**3 - 1/120*z**6 - 1/180*z**5 + 1/24*z**4 - 11*z**2 + 0 - 1/630*z**7 + 0*z. Factor f(m).
-(m - 1)*(m + 1)**2*(m + 2)/3
Let l(a) be the first derivative of -a**3/9 + 9. Factor l(b).
-b**2/3
Let v(f) be the second derivative of f**4/78 + 2*f**3/39 - 8*f**2/13 - 25*f. Factor v(j).
2*(j - 2)*(j + 4)/13
Let h(l) be the second derivative of l**4/120 - l**3/5 + 11*l**2/20 + 7*l - 4. Factor h(d).
(d - 11)*(d - 1)/10
Let i(x) = 5*x**3 - 23*x**2 - 17*x + 11. Let j(c) be the first derivative of -c**4/2 + 8*c**3/3 + 3*c**2 - 4*c + 3. Let h(q) = 4*i(q) + 11*j(q). Factor h(t).
-2*t*(t + 1)**2
Let 10/17*c**4 - 24/17*c**2 + 8/17*c + 6/17*c**3 + 0 = 0. Calculate c.
-2, 0, 2/5, 1
Let j = -42 - -42. Let y = 37 - 181/5. Solve -y*b**2 + j*b - 6/5*b**3 + 0 = 0.
-2/3, 0
Determine o, given that -2/3 - 17/3*o - 7/3*o**3 - 22/3*o**2 = 0.
-2, -1, -1/7
Let j(z) be the first derivative of -z**3/27 + z/9 - 13. Determine n so that j(n) = 0.
-1, 1
Let p(g) = -4*g**3 + 6*g**2 + 4*g + 9. Let k(f) = -f**2 + 1. Let u(x) = 36*k(x) - 4*p(x). Factor u(j).
4*j*(j - 4)*(4*j + 1)
Let j = -82 + 85. Determine k so that -1/4*k + 1/2*k**4 - 3/4*k**2 + 1/4 + 1/4*k**j = 0.
-1, 1/2, 1
Factor 2/5*u**4 - 2/5 - 4/5*u + 4/5*u**3 + 0*u**2.
2*(u - 1)*(u + 1)**3/5
Let u(k) = 5*k**4 - 10*k**3 + 8*k**2 + 3*k - 3. Let w(z) = 5*z**4 - 10*z**3 + 9*z**2 + 4*z - 4. Let y(l) = -4*u(l) + 3*w(l). Determine o so that y(o) = 0.
0, 1
Let l(k) be the second derivative of -k**6/2520 + k**5/105 - 2*k**4/21 + k**3/6 - 2*k. Let y(g) be the second derivative of l(g). Factor y(t).
-(t - 4)**2/7
Let d(b) = b + 1. Let m(f) = -3*f**4 + 6*f**2 + 18*f + 15. Let v(x) = 18*d(x) - m(x). Suppose v(l) = 0. What is l?
-1, 1
Let w(h) be the third derivative of -1/15*h**5 - 8*h**2 - 1/3*h**4 + 0 - 2/3*h**3 + 0*h. Factor w(j).
-4*(j + 1)**2
Let p(f) be the second derivative of 1/21*f**4 + 0*f**2 - 1/35*f**5 - 2/105*f**6 + 0 + 2/21*f**3 + 6*f. Let p(q) = 0. Calculate q.
-1, 0, 1
Let l(d) be the third derivative of -d**5/60 - d**4/3 + 3*d**3/2 - d**2 + 4*d. Factor l(p).
-(p - 1)*(p + 9)
Let u(h) be the first derivative of 4*h**5/5 - 3*h**4 + 8*h**3/3 - 38. Factor u(w).
4*w**2*(w - 2)*(w - 1)
Let g(b) be the first derivative of -1 + 0*b**5 + 0*b + 0*b**2 - 1/3*b**3 + 1/900*b**6 + 0*b**4. Let n(w) be the third derivative of g(w). Factor n(v).
2*v**2/5
Let n(i) = -3*i**3 - 9*i**2 - 9*i - 3. Let u be (4 - 3)*-3 + 0. Let k(h) = -3*h**3 - 9*h**2 - 9*h - 3. Let l(q) = u*n(q) + 2*k(q). Find x such that l(x) = 0.
-1
Let z(x) be the first derivative of -3*x**5/20 - 3*x**4/8 - x**3/4 - 27. What is l in z(l) = 0?
-1, 0
Let a(m) = -m + 4. Let d be a(2). Let r(i) be the first derivative of 0*i**d + 0*i + 1/12*i**4 + 2 + 0*i**3. Factor r(f).
f**3/3
Let c = -440 + 440. Factor c*z + 2/3*z**5 + 0*z**4 + 0*z**2 + 0 + 0*z**3.
2*z**5/3
Let t(k) = 3*k - 20. Let f be t(8). 