tive of -m + 0 - 1/15*m**3 + 0*m**2 + 1/6*m**4. Factor j(n).
2*n*(5*n - 1)/5
Suppose g + 0 - 2 = 0. What is j in 3*j**2 - j**2 - g*j**2 + j**3 + 2 - 3*j = 0?
-2, 1
Let r(m) = 2*m**2 + m + 1. Let y(b) = -11*b**2 - 5*b - 1. Let j(f) = 15*r(f) + 3*y(f). Find p such that j(p) = 0.
-2, 2
Let d = -66 + 661/10. Let j(q) be the first derivative of -d*q**5 + 1/2*q - 1/2*q**2 + 1/4*q**4 + 0*q**3 - 3. Factor j(u).
-(u - 1)**3*(u + 1)/2
Let b(n) be the first derivative of -n**6/150 + n**4/60 - 3*n - 3. Let p(h) be the first derivative of b(h). Factor p(d).
-d**2*(d - 1)*(d + 1)/5
Let u(d) = 4*d**3 - 7*d**2 - 5*d + 3. Let a(y) = -44*y**3 + 76*y**2 + 56*y - 32. Let v(z) = -3*a(z) - 32*u(z). Factor v(b).
4*b*(b - 2)*(b + 1)
Let s(z) be the third derivative of z**5/210 - z**4/7 - 17*z**2. What is o in s(o) = 0?
0, 12
Let v = 19 + -13. Determine j so that 28*j**3 - 18*j**5 - 5*j + j - 12*j**4 - v*j - 4 + 16*j**2 = 0.
-1, -1/3, 2/3, 1
Let y(i) be the second derivative of 3*i**5/140 + 5*i**4/28 + 3*i**3/14 - 27*i**2/14 - 12*i. Solve y(j) = 0 for j.
-3, 1
Let a be 208/(-70) - (-6)/2. Let r(f) be the second derivative of 0*f**2 - a*f**5 + 0 + 1/147*f**7 + 1/21*f**3 + 0*f**6 + 0*f**4 - 3*f. Factor r(z).
2*z*(z - 1)**2*(z + 1)**2/7
Suppose -10*b = -5*b + 3*r - 3, 0 = -2*b - 2*r + 2. Factor 0 - 1/3*a**4 + b*a + 1/3*a**3 + 1/3*a**2 - 1/3*a**5.
-a**2*(a - 1)*(a + 1)**2/3
Let n(d) be the second derivative of -d**7/252 + d**5/30 - d**4/36 - d**3/12 + d**2/6 + 21*d. Factor n(p).
-(p - 1)**3*(p + 1)*(p + 2)/6
Let y be 4/(-26) + (-72)/(-130). Let o = -9/5 - -11/5. Find h, given that o*h**2 + 1/5*h**3 - 1/5*h - y = 0.
-2, -1, 1
Let v(o) be the third derivative of -o**6/40 - 38*o**2. Factor v(d).
-3*d**3
Let l = 6 - -1. Determine t so that -7 + 2*t**3 + l = 0.
0
Let r be 2/4*(-32)/(-88). Solve 4/11*l**4 + 0*l**3 - 4/11*l**2 + 2/11*l**5 + 0 - r*l = 0.
-1, 0, 1
Let x(q) be the second derivative of 3*q**6/10 + 3*q**5/10 - 9*q**4/4 + 6*q**2 - 7*q. Factor x(i).
3*(i - 1)**2*(i + 2)*(3*i + 2)
Suppose -32 + 17 = -5*h. Let w(s) be the second derivative of 1/6*s**h + 1/12*s**4 - 3*s + 0 + 0*s**2. Factor w(z).
z*(z + 1)
Let f(b) be the first derivative of 9*b**4 - 44*b**3/3 + 4*b**2 - 17. Factor f(d).
4*d*(d - 1)*(9*d - 2)
Let w(m) be the first derivative of -m**6/80 + m**5/20 - m**4/16 + m**2 + 1. Let u(k) be the second derivative of w(k). Determine x, given that u(x) = 0.
0, 1
Let p(c) be the first derivative of -8/11*c - 2/55*c**5 - 2 - 4/11*c**2 + 1/11*c**4 + 2/11*c**3. Factor p(i).
-2*(i - 2)**2*(i + 1)**2/11
Let t(p) be the first derivative of -p**3/15 + 3*p**2/10 + 4*p/5 - 19. Find w, given that t(w) = 0.
-1, 4
Factor -3/2*u**2 - 1/2 + 2*u.
-(u - 1)*(3*u - 1)/2
Suppose 4 = 3*g + 1. Let u(z) be the first derivative of 0*z**2 + 0*z + 0*z**3 + 1/18*z**4 + g. What is t in u(t) = 0?
0
Let v be (-2)/8 + (-315)/20. Let a be ((-3)/(-36))/((-6)/v). Factor 0 + a*r**2 + 0*r.
2*r**2/9
Let g(s) be the first derivative of -s**4 + 4*s**3 - 4*s**2 - 8. Suppose g(w) = 0. What is w?
0, 1, 2
Let n(r) be the first derivative of -4*r**5/5 - r**4 + 4*r**3/3 + 2*r**2 - 15. Factor n(u).
-4*u*(u - 1)*(u + 1)**2
Let f be ((-9)/(-6) + 1 + -1)/6. Solve -1/4*y**2 + 1/4 - 1/4*y**3 + f*y = 0 for y.
-1, 1
Let k(m) be the third derivative of -9*m**7/140 + 21*m**6/80 + 17*m**5/40 + 3*m**4/16 + 7*m**2. Factor k(i).
-3*i*(i - 3)*(3*i + 1)**2/2
Let c = -27720 + 1801903/65. Let q = c + -18/13. Let -o - 2*o**3 + 2*o**2 + q + o**4 - 1/5*o**5 = 0. What is o?
1
Let u(j) be the first derivative of -j**2 - 1 - 1/24*j**4 - 2*j - 1/3*j**3. Let a(q) be the first derivative of u(q). Factor a(f).
-(f + 2)**2/2
Let y(b) be the second derivative of 0 + 0*b**3 - 1/72*b**4 + 0*b**2 + b. Factor y(s).
-s**2/6
Let z(y) be the third derivative of y**5/3 - 5*y**3/6 - 13*y**2. Factor z(t).
5*(2*t - 1)*(2*t + 1)
Let u(x) be the first derivative of 2*x**5/5 - x**4/2 - 2*x**3/3 + x**2 + 7. Factor u(g).
2*g*(g - 1)**2*(g + 1)
Factor 0*a**2 - 5/2*a**4 + 0 + 5/3*a**3 + 0*a + 5/6*a**5.
5*a**3*(a - 2)*(a - 1)/6
Let d(n) be the second derivative of -1/70*n**5 + 1/21*n**3 + n + 0 - 1/42*n**4 + 1/7*n**2. Determine w so that d(w) = 0.
-1, 1
Let a be ((-2)/5)/((-2)/3). Let 1/5*r**2 + 4/5*r**3 + a*r**4 + 0*r + 0 = 0. Calculate r.
-1, -1/3, 0
Let r(t) be the third derivative of t**5/60 - t**4/48 - t**3/12 + 2*t**2. Determine p, given that r(p) = 0.
-1/2, 1
Let c = -17/4 - -19/4. Let v = -131/3 + 44. Factor -c*z + 1/6*z**5 + 1/6 - 1/2*z**4 + v*z**2 + 1/3*z**3.
(z - 1)**4*(z + 1)/6
Let b be 2/8 + (-186)/936. Let u(h) be the first derivative of 0*h**2 - b*h**3 + 0*h - 2. Find k, given that u(k) = 0.
0
Let m = -39 + 41. Let t(r) be the first derivative of -1/2*r**4 + r**2 + m + 0*r**3 + 0*r. Solve t(d) = 0 for d.
-1, 0, 1
Let m(z) be the second derivative of z**5 + 7*z**4/3 + 4*z**3/3 - 7*z - 3. Find t such that m(t) = 0.
-1, -2/5, 0
Suppose -5*a - 5 = -3*z, -4*z + 28 = 2*a + 2*a. Let q(i) be the first derivative of 3 + 0*i - 3/4*i**z - 1/6*i**3 + 11/16*i**4 + 0*i**2. Factor q(b).
-b**2*(3*b - 1)*(5*b - 2)/4
Factor 3/2*o - 3/2*o**3 + 3 - 3*o**2.
-3*(o - 1)*(o + 1)*(o + 2)/2
Let t(y) be the first derivative of -y**3 - 3*y**2/2 - 10. Solve t(s) = 0.
-1, 0
Let d(p) = -3*p**2 - p + 4. Suppose y - 4*q = 2, 10 = -5*y + 3*q + 71. Let j(f) = f**2 - 1. Let z(v) = y*j(v) + 4*d(v). Determine i, given that z(i) = 0.
1
Let l = -127/7 + 1919/105. Let w(z) be the second derivative of 1/30*z**4 - l*z**3 - 2*z + 1/5*z**2 + 0. Solve w(b) = 0 for b.
1
Let g(x) be the third derivative of 0 + 9*x**2 + 15/8*x**4 + 1/40*x**6 - 9/2*x**3 + 0*x - 7/20*x**5. Find m, given that g(m) = 0.
1, 3
Let n(x) be the third derivative of -x**8/120960 + x**7/30240 + x**6/2160 + x**5/20 + 4*x**2. Let o(c) be the third derivative of n(c). Factor o(l).
-(l - 2)*(l + 1)/6
Let c = -15 + 17. Let l(n) be the first derivative of 4*n + 1/3*n**3 - 3 - 2*n**c. Factor l(z).
(z - 2)**2
Let x(h) be the second derivative of -h**4/10 + 2*h**3/5 + 2*h. Let x(m) = 0. Calculate m.
0, 2
Let a be 4/3*18/4. Let g(s) = s**2 + s. Let j(n) = 4*n**3 - 12*n**2 - 4*n. Let t(x) = a*g(x) + j(x). Factor t(z).
2*z*(z - 1)*(2*z - 1)
Let j(c) be the first derivative of -c**5/25 + c**4/10 - c**3/15 + 53. Factor j(h).
-h**2*(h - 1)**2/5
Let l(o) be the first derivative of o**6/120 - o**5/40 + o**3 - 2. Let b(j) be the third derivative of l(j). Factor b(q).
3*q*(q - 1)
Let x(c) be the first derivative of c**5/5 - c**3/3 + 10. What is n in x(n) = 0?
-1, 0, 1
Find a, given that -4*a**2 + 9/4*a**5 - 13/4*a**3 + 0 + 4*a**4 + a = 0.
-2, -1, 0, 2/9, 1
Suppose -4*y = -2*z + 2, z + 28 = 4*y + 5*z. Suppose 3*m - y*w = 16, m + 0*m = 5*w + 27. Suppose 10/7*k - 4/7 - 8/7*k**m + 2/7*k**3 = 0. Calculate k.
1, 2
Let t = 17/2 - 8. Suppose 4*l = -w - 3, -5*w - 13 = -5*l + 2. Suppose 2*g**4 + l - 3*g**3 + 2*g**2 - 1/2*g**5 - t*g = 0. Calculate g.
0, 1
Find q, given that 4/5*q**3 - 1/5 + 2/5*q + 7/5*q**2 = 0.
-1, 1/4
Let f(h) be the second derivative of -h**10/45360 - h**9/11340 + h**7/1890 + h**6/1080 + h**4/12 - h. Let a(k) be the third derivative of f(k). Factor a(t).
-2*t*(t - 1)*(t + 1)**3/3
Let d be (12/(-10))/((-2)/(-5)). Let j be (-5)/(-15) + (-5)/d. Suppose -3*o + 2*o + j*o**2 - o**3 + 0*o**2 = 0. What is o?
0, 1
Let 4/3*n - 8/3*n**2 - 4/3*n**3 + 8/3 = 0. Calculate n.
-2, -1, 1
Let b(r) be the first derivative of r**4 + 32*r**3/3 + 26*r**2 + 24*r + 44. Factor b(g).
4*(g + 1)**2*(g + 6)
Let c(g) be the second derivative of 1/20*g**5 + 0*g**3 + 3*g + 0 + 0*g**4 + 0*g**2. Factor c(q).
q**3
Let y(k) = -k**2 + 1. Let w(o) = -4*o**2 + 88*o - 34. Let z(s) = w(s) + 10*y(s). Factor z(m).
-2*(m - 6)*(7*m - 2)
Suppose 4*d - r - 4 = -1, 6 = 2*d - 2*r. Suppose d = -a - 3*a. Factor a + 0*q - 2/5*q**2 + 1/5*q**3.
q**2*(q - 2)/5
Let g(d) be the second derivative of -1/30*d**7 + 3/50*d**6 + 3*d + 0 - 1/50*d**5 + 0*d**4 + 0*d**2 + 0*d**3. Solve g(v) = 0.
0, 2/7, 1
Suppose 0 = 2*j - 5*j. Let v(s) be the third derivative of -2*s**2 + 1/240*s**5 + 0*s + j + 1/48*s**4 + 1/24*s**3. Factor v(z).
(z + 1)**2/4
Let w(n) = 2*n**3 - 133*n**2 + 2387*n - 16000. Let c(m) = -m**3 + 66*m**2 - 1194*m + 8000. Let p(v) = -13*c(v) - 6*w(v). Factor p(h).
(h - 20)**3
Suppose 4*y - 8 = -0*y. Let n be (1/y)/(5/30). Let 0*l - l**2 - 1/4*l**4 + 0 + l**n = 0. Calculate l.
0, 2
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