 0 + 0*h - 1/12*h**4. Find z such that m(z) = 0.
-1, 0
Let k(l) = l**2 + 6*l. Let y(f) = 5*f. Let v(p) = 5*k(p) - 4*y(p). Suppose v(w) = 0. Calculate w.
-2, 0
Suppose -15*w**2 - 36*w - 12 - w**2 - 11*w**2 = 0. What is w?
-2/3
Let y(j) = 4*j - 1. Let f be y(1). Suppose 4*v**5 + 2*v**4 - f*v**5 + 0*v**4 - 2*v**2 - v**3 = 0. What is v?
-2, -1, 0, 1
Factor 53*c + 29 - 29*c + 52 + 27*c**2 + 57*c + 3*c**3.
3*(c + 3)**3
Let n(z) be the second derivative of -z**4/48 + z**2/8 - 8*z. Factor n(r).
-(r - 1)*(r + 1)/4
Let u(p) = -25*p**3 + 3*p**2 + p - 4. Let s be u(2). Let v = s + 2094/11. Let 0 + 0*l**3 - 2/11*l**5 + v*l**2 + 2/11*l - 4/11*l**4 = 0. What is l?
-1, 0, 1
Let p(w) be the second derivative of -3*w - 1/9*w**3 + 1/45*w**6 + 0 + 2/3*w**2 + 1/30*w**5 - 1/6*w**4. Factor p(b).
2*(b - 1)**2*(b + 1)*(b + 2)/3
Let s be (-2)/36*12/(-280). Let p(t) be the third derivative of -1/480*t**6 + 2*t**2 + 0*t**4 + s*t**7 + 0*t - 1/240*t**5 + 0*t**3 + 0. Factor p(w).
w**2*(w - 1)*(2*w + 1)/4
Let c(f) be the first derivative of 5*f**6/36 - 5*f**5/6 + 5*f**4/24 + 85*f**3/18 - 55*f**2/6 + 20*f/3 + 10. Factor c(v).
5*(v - 4)*(v - 1)**3*(v + 2)/6
Let h(b) be the third derivative of -b**8/1512 - 4*b**7/63 - 8*b**6/3 - 64*b**5 - 960*b**4 - 9216*b**3 + 29*b**2. Let h(q) = 0. What is q?
-12
Let n(g) be the second derivative of 2*g**6/15 + g**5 + 8*g**4/3 + 8*g**3/3 - 9*g. Factor n(z).
4*z*(z + 1)*(z + 2)**2
Let l = 1183 + -319409/270. Let a(z) be the third derivative of 0 + 1/3*z**3 - 1/18*z**4 - 4*z**2 + 0*z + l*z**5. Suppose a(i) = 0. What is i?
3
Let j = 33 + -61/2. Factor -1/4 - 5/4*h**4 - 5/2*h**2 - 5/4*h - 1/4*h**5 - j*h**3.
-(h + 1)**5/4
Let g(w) be the second derivative of -w**7/10080 - w**6/960 - w**5/240 + w**4/6 - w. Let b(y) be the third derivative of g(y). Suppose b(a) = 0. Calculate a.
-2, -1
Let g = 6779/6093 + -1/677. Factor g*v**4 + 0 + 0*v**2 + 8/9*v**5 + 0*v + 2/9*v**3.
2*v**3*(v + 1)*(4*v + 1)/9
Let h = -7/141 - -113/1645. Let r(k) be the third derivative of 0 - h*k**7 - k**2 - 1/30*k**5 + 0*k + 0*k**3 - 1/24*k**4 + 7/120*k**6. Factor r(t).
-t*(t - 1)**2*(4*t + 1)
Let g(b) = b - 5. Let i be g(5). Suppose -4*n + 6*n - 4 = i. Find j such that -6 + 6 + n*j**5 - 2*j**3 = 0.
-1, 0, 1
Let w = 55 - 35. Solve -16*s + 0*s**4 - 4*s**4 + 0*s**4 - 32*s**2 - w*s**3 + 0*s**4 = 0 for s.
-2, -1, 0
Let 8*l - 10 - 3*l**3 + 0*l + 4*l**3 - 5*l**2 + 6 = 0. Calculate l.
1, 2
Factor 2/17*g - 4/17*g**2 + 2/17*g**3 + 0.
2*g*(g - 1)**2/17
Let u(g) be the second derivative of 1/180*g**6 + 0*g**2 + 1/120*g**5 - 5*g + 0*g**4 + 0 + 0*g**3. Find s such that u(s) = 0.
-1, 0
Let z(j) be the third derivative of 0*j - 1/20*j**5 + 4*j**2 + 0 + 0*j**4 + 0*j**3 - 1/40*j**6. Factor z(a).
-3*a**2*(a + 1)
Let o(a) be the third derivative of -a**7/70 + 3*a**6/40 - a**4/2 + 12*a**2. Suppose o(j) = 0. Calculate j.
-1, 0, 2
Let g be (-6)/(-15) - 4/10. Factor 5*q**3 + 2*q + q**4 - 4*q**3 - q**2 - 3*q + g*q**4.
q*(q - 1)*(q + 1)**2
Let l be (-90)/260 + ((-14)/(-4))/7. Suppose 2/13*w**3 + l*w**2 - 2/13 - 2/13*w = 0. What is w?
-1, 1
Let w = 3 + 1. Suppose -2*a - 6 = -0*a + w*d, 5*a + 3*d - 6 = 0. Solve 2*q**3 + 2*q + 0*q**5 - q**5 - a*q = 0.
-1, 0, 1
Let n = 134367/7 - 19251. Let w = n + 56. Let 0 - w*y + 2/7*y**2 = 0. What is y?
0, 1
Suppose 0 = t + t + 16. Let f be 4 - 4*(-2)/t. Factor -2/3*h**5 + 0*h**f + 0 - 4/3*h**2 + 4/3*h**4 + 2/3*h.
-2*h*(h - 1)**3*(h + 1)/3
Factor -12/11*v + 6/11 + 6/11*v**2.
6*(v - 1)**2/11
Let w(l) be the second derivative of l**10/20160 + l**9/5040 - l**7/840 - l**6/480 - l**4/2 - 5*l. Let c(g) be the third derivative of w(g). Factor c(f).
3*f*(f - 1)*(f + 1)**3/2
Let i(f) be the third derivative of f**8/3696 - f**7/2310 - f**6/440 + f**5/660 + f**4/132 + 7*f**2. What is t in i(t) = 0?
-1, 0, 1, 2
Determine u so that -1/4*u**2 - 5/4*u**3 + 0*u + 0 - u**4 = 0.
-1, -1/4, 0
Let z(l) be the first derivative of l**4/36 + l**3/18 - l**2/3 + l + 7. Let s(u) be the first derivative of z(u). Factor s(m).
(m - 1)*(m + 2)/3
Suppose -1 - 8 = -3*n. Let g(l) = -11*l**4 + 3*l**3 - 5*l**2 - 11*l. Let r(c) = -4*c**4 + c**3 - 2*c**2 - 4*c. Let f(s) = n*g(s) - 8*r(s). Factor f(d).
-d*(d - 1)**2*(d + 1)
Factor -34/7*u**4 + 2/7*u**5 + 0 + 0*u + 18*u**3 + 162/7*u**2.
2*u**2*(u - 9)**2*(u + 1)/7
Find j, given that 6/17*j**2 + 0*j + 2/17*j**3 - 8/17 = 0.
-2, 1
Let u(p) be the third derivative of 2*p**2 - 1/135*p**7 + 1/12*p**4 + 1/54*p**5 + 2/27*p**3 + 0 + 0*p - 1/60*p**6. Solve u(f) = 0 for f.
-1, -2/7, 1
Let v = -73 - -73. Let g(n) be the third derivative of 0 + 0*n**5 - 1/18*n**4 + v*n**3 - 1/630*n**7 - 3*n**2 + 0*n + 1/120*n**6. Let g(u) = 0. What is u?
-1, 0, 2
Factor 0*w**2 + 0 + 2/5*w**3 - 2/5*w.
2*w*(w - 1)*(w + 1)/5
Let f be (-5 - -5) + (-5)/(-15). Suppose -2/3*l**4 + 0 - 1/3*l**3 - f*l**5 + 0*l + 0*l**2 = 0. What is l?
-1, 0
Let s(x) be the third derivative of -x**8/140 + 13*x**7/350 - 3*x**6/40 + 7*x**5/100 - x**4/40 - 7*x**2. Determine j, given that s(j) = 0.
0, 1/4, 1
Let s(t) be the first derivative of 1/48*t**4 - 1/3*t**3 - 1/720*t**6 + 0*t**5 + 0*t**2 + 0*t + 2. Let d(k) be the third derivative of s(k). Factor d(x).
-(x - 1)*(x + 1)/2
Let a(o) be the third derivative of -o**5/450 + o**4/90 - o**3/45 - o**2. Factor a(s).
-2*(s - 1)**2/15
Factor 0*b**2 - 1/4*b**3 + 1/4*b + 0.
-b*(b - 1)*(b + 1)/4
Let u be (9 - 7) + (-12 - 0). Let z be (-22)/(-24) + u/15. Factor 0*m + 3/4*m**3 + 0 + z*m**5 + 3/4*m**4 + 1/4*m**2.
m**2*(m + 1)**3/4
Let b(m) be the first derivative of m**6/40 - m**5/20 - 3*m**2 + 4. Let t(o) be the second derivative of b(o). Factor t(s).
3*s**2*(s - 1)
Let h(y) be the second derivative of -y**6/105 + y**5/35 + y**4/14 - 4*y**3/21 - 4*y**2/7 - 14*y. Let h(b) = 0. What is b?
-1, 2
Let p be 0/(-1)*(0 - -2)/8. Find q, given that 0 + 2/5*q**2 + p*q + 2/5*q**3 = 0.
-1, 0
Find z, given that 2/3*z**2 - 2/3*z - 4/3 = 0.
-1, 2
Let g(a) = 9*a**2 - 4*a - 8 - 2 + 4*a**3 + 5. Let b(z) = z**3 + z**2 - 1. Suppose w - 3*w - 10 = 0, 3*w + 11 = -4*j. Let x(q) = j*g(q) - 5*b(q). Factor x(s).
-s*(s - 2)**2
Let z(t) be the first derivative of -2*t**5/45 + 4*t**3/27 - 2*t/9 - 15. Solve z(s) = 0 for s.
-1, 1
Find r such that 0*r**2 + 0 - 4/3*r**3 + 0*r**4 + 2/3*r + 2/3*r**5 = 0.
-1, 0, 1
Let i(a) be the second derivative of -2*a**6/135 + 2*a**5/45 - a**4/27 + 9*a. Factor i(q).
-4*q**2*(q - 1)**2/9
Let p = -2185/9 + 243. Solve 0 + p*f**2 + 0*f = 0 for f.
0
Let a(z) be the second derivative of -z**7/840 + z**6/120 - z**5/40 + z**4/3 + 4*z. Let b(l) be the third derivative of a(l). Factor b(n).
-3*(n - 1)**2
Let u(c) be the third derivative of -c**2 + 1/210*c**7 - 1/12*c**4 + 0*c + 0 + 1/60*c**6 + 0*c**5 - 1/6*c**3. Factor u(z).
(z - 1)*(z + 1)**3
Suppose k = 105 - 103. Factor -6/5*j**4 - 16/5*j**k - 8/5*j + 22/5*j**3 + 0.
-2*j*(j - 2)**2*(3*j + 1)/5
Let u(q) = -10 - 7 + 2 + 2*q. Let r be u(10). Factor 6*g**3 - 1 - 8*g + 2*g**r - 8*g**4 + 13*g**2 + 1 - 5*g**2.
2*g*(g - 2)**2*(g - 1)*(g + 1)
Let d(b) = 11*b**4 + 15*b**3 - 27*b**2 - 8*b. Let t(z) = 67*z**4 + 91*z**3 - 161*z**2 - 48*z. Let k(p) = 34*d(p) - 6*t(p). Find i such that k(i) = 0.
-2, -2/7, 0, 1
Let c be (-8)/36 + 112/180. Let -4/5*u + 4/5*u**3 - c + 0*u**2 + 2/5*u**4 = 0. What is u?
-1, 1
Let w(j) = j**2 + j + 3. Let x be w(0). Let i be 12/8*14*2/6. Factor u**2 + 3*u**2 - i + x*u + 6.
(u + 1)*(4*u - 1)
Factor -1/6*v**3 - 1/6*v + 2/3*v**2 - 1.
-(v - 3)*(v - 2)*(v + 1)/6
Find d such that 1/4*d**3 + 0*d + 0 + 1/2*d**2 - 1/4*d**5 - 1/2*d**4 = 0.
-2, -1, 0, 1
Let y(p) = 2*p**2 - 12*p + 2. Let z(l) = l. Let k(u) = y(u) + 8*z(u). Determine o so that k(o) = 0.
1
Let h(d) be the first derivative of d**3 + 3*d**2/2 - 6*d + 1. Find y such that h(y) = 0.
-2, 1
Suppose -6*q = -12 + 12. Determine m so that 2/5*m**3 + 0*m**2 + 0*m + q = 0.
0
Factor -7*n**3 - 11*n**2 + 12*n - 2*n**3 + 18*n**3 - 28*n**2.
3*n*(n - 4)*(3*n - 1)
Let j(w) be the third derivative of w**5/120 - 5*w**4/16 - 4*w**3/3 - 2*w**2 - 12. Factor j(l).
(l - 16)*(l + 1)/2
Let -98 + 25 - 4*m**4 - 312*m**2 + 64*m**3 + 300*m - 123 + 148*m = 0. What is m?
1, 7
Let g(b) be the first derivative of 3 - 1/3*b**3 - 1/5*b**5 + 0*b**2 + 0*b - 1/2*b**4. Factor g(t).
-t**2*(t + 1)**2
Let p = -5 + 8. Let -27*k**3 - 4*k**4 + 3*k**p - 6*k**4 + 4*k - 4*k**4 - 6*k**2 = 0. Calculate k.
-1, 0, 2/7
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