**2/4 + u/2 - 5. Let i(z) = 0. What is z?
-1, 1
Suppose -15 = -4*j - j. Let h(c) be the first derivative of 2 - 1/3*c**j - 4*c + 2*c**2. Solve h(i) = 0 for i.
2
Let s(x) be the first derivative of x**5/30 - x**4/6 + x**3/3 - x**2/3 + x/6 + 7. What is v in s(v) = 0?
1
Let m(p) be the third derivative of -p**9/68040 + p**8/15120 - p**7/11340 + p**4/6 + p**2. Let x(n) be the second derivative of m(n). Factor x(q).
-2*q**2*(q - 1)**2/9
Let b = -14 + 14. Let j be (-14)/(-24) + (-2)/6. Factor j*h**4 - 1/2*h**3 + b + 1/4*h**2 + 0*h.
h**2*(h - 1)**2/4
Let a(t) be the second derivative of -3/10*t**2 + 0 + 2*t + 1/15*t**3 + 1/60*t**4. Determine x, given that a(x) = 0.
-3, 1
Let s(m) be the first derivative of -3*m**5/5 + 9*m**4/4 - m**3 - 9*m**2/2 + 6*m - 2. Factor s(l).
-3*(l - 2)*(l - 1)**2*(l + 1)
Let p be 891/44*2/6. Factor 3*i**2 - p*i + 3/2.
3*(i - 2)*(4*i - 1)/4
Let g be (-1325)/(-225) + 2/18. Let v(r) be the first derivative of 0*r**3 + r**2 + 0*r**5 - 3 - r**4 + 1/3*r**g + 0*r. Factor v(n).
2*n*(n - 1)**2*(n + 1)**2
Let 1/3*h + 1/3*h**2 + 0 = 0. What is h?
-1, 0
Let r(j) be the third derivative of j**5/15 + 5*j**4/6 - 4*j**3 - 48*j**2. Let r(b) = 0. What is b?
-6, 1
Let u(n) be the first derivative of -n**8/5040 - n**7/2520 + n**6/1080 + n**5/360 + n**3 - 5. Let w(m) be the third derivative of u(m). Factor w(o).
-o*(o - 1)*(o + 1)**2/3
Factor -3*t + 21*t**3 - 18*t**2 - 51*t**2 + 11*t + 10*t.
3*t*(t - 3)*(7*t - 2)
Factor -112/5*m + 4/5*m**2 + 784/5.
4*(m - 14)**2/5
Let o(w) be the third derivative of -w**5/45 + w**4/18 - 19*w**2. Factor o(n).
-4*n*(n - 1)/3
Let g(b) be the second derivative of b**5/30 + 2*b. Let g(u) = 0. What is u?
0
Solve -9*v**2 + 6*v**4 - 8*v**3 - 6*v**2 - 9*v**2 + 26*v**2 = 0 for v.
0, 1/3, 1
Let h be 39/63 - 4/14. Let f(z) be the first derivative of 0*z**2 - 3 - 2/9*z**3 + h*z**4 + 0*z - 2/15*z**5. Factor f(i).
-2*i**2*(i - 1)**2/3
Factor 9*j + 4*j**2 - 8*j**3 - 18*j**2 - 3*j - 2*j.
-2*j*(j + 2)*(4*j - 1)
Let t(b) = b**5 - 20*b**4 + 40*b**3 - 43*b**2 + 17*b - 4. Let y(f) = -f**5 - f**2 - f. Let i(a) = t(a) - 3*y(a). Factor i(d).
4*(d - 1)**5
Let b(s) = s + 3. Let x be b(7). Let j be (8/(-10))/((-2)/x). Let 2*c**3 + 0*c**2 - c**4 - j*c**2 + 3*c**2 = 0. Calculate c.
0, 1
Let z(q) be the second derivative of -q**9/22680 + q**8/5040 - q**7/3780 - q**4/12 - q. Let w(y) be the third derivative of z(y). Let w(x) = 0. Calculate x.
0, 1
Let w(a) be the third derivative of a**5/240 - a**4/24 - 12*a**2 - 1. Find f, given that w(f) = 0.
0, 4
Let r(x) be the first derivative of 4*x**3/9 + 4*x**2/3 - 20*x + 17. Determine w, given that r(w) = 0.
-5, 3
Let g = 108 - 158. Let s be g/60*(-4)/10. Suppose 0*k - s*k**2 + 1/3 = 0. What is k?
-1, 1
Let y = 105 + -103. Determine m so that -4/7*m**y + 2/7 + 2/7*m = 0.
-1/2, 1
Let h(l) be the first derivative of 0*l - 4/3*l**3 - 3 - 1/2*l**4 - l**2. Factor h(s).
-2*s*(s + 1)**2
Let j(w) be the second derivative of -w**9/22680 + w**7/3780 - w**4/2 + 9*w. Let z(p) be the third derivative of j(p). Let z(q) = 0. Calculate q.
-1, 0, 1
Let l(y) be the first derivative of -y**3/7 + 3*y**2/14 + 6*y/7 - 65. Factor l(b).
-3*(b - 2)*(b + 1)/7
Let q = 87/2 - 581/10. Let f = -69/5 - q. Find a such that -2/5*a**3 - 2/5*a + 0 - f*a**2 = 0.
-1, 0
Let t = 106 - 106. Let b(u) be the second derivative of -1/30*u**5 - 1/3*u**3 + 1/3*u**2 - u + t + 1/6*u**4. Factor b(y).
-2*(y - 1)**3/3
Let m = 121 - 118. Let d(y) be the first derivative of 5/9*y**m - 1/4*y**4 + 0*y - 1/6*y**2 + 2/9*y**6 + 1 - 1/3*y**5. What is t in d(t) = 0?
-1, 0, 1/4, 1
Let b(t) = 30*t**3 - 5*t**2 - 31*t + 10. Let v(h) = -30*h**3 + 5*h**2 + 30*h - 10. Let c(o) = -5*b(o) - 6*v(o). Find n such that c(n) = 0.
-1, 1/2, 2/3
Let w = -22 + 22. Factor -1/5*h**3 + 0*h**2 + 0*h**4 + 0 + w*h + 1/5*h**5.
h**3*(h - 1)*(h + 1)/5
Let r(h) = 2*h**2 - 4*h - 2. Let l(s) = -s**2 + s + 1. Let j = 3 + 0. Suppose -17 = j*g - 5. Let z(k) = g*l(k) - r(k). Factor z(v).
2*(v - 1)*(v + 1)
Let l = 8 + -7. Let j = 5 - 1. Find k such that -k**2 - l - 3*k + j*k + k = 0.
1
Suppose -4*a = 12, -2*a = 2*c + 3*a + 19. Let s be (-172)/(-36) - c/9. Determine b, given that -4*b**2 + 2*b**s - 4*b**2 + b**4 + 12*b**3 - 9*b**4 + 2*b = 0.
0, 1
Determine j, given that 0*j + 0 + 1/5*j**3 + j**2 = 0.
-5, 0
Let w(d) be the third derivative of -1/150*d**5 + 4*d**2 + 0*d - 1/20*d**4 + 0 - 2/15*d**3. Factor w(v).
-2*(v + 1)*(v + 2)/5
Let r(o) be the third derivative of o**6/1080 - o**5/180 + o**3/2 + 2*o**2. Let k(p) be the first derivative of r(p). Factor k(i).
i*(i - 2)/3
Let v(o) be the second derivative of o**4/3 + 4*o**3/3 + 2*o**2 + 10*o. Find h, given that v(h) = 0.
-1
Let v = -1 - -4. Let a = -82 - -82. Factor 1/4*c**5 + a - 1/2*c + 1/4*c**v - 3/4*c**4 + 3/4*c**2.
c*(c - 2)*(c - 1)**2*(c + 1)/4
Factor l**2 + 8 + l - 5*l**2 - 5*l.
-4*(l - 1)*(l + 2)
Let d = 31 + -29. Suppose 0 = d*t - 4*t. Let t + 2/3*m**4 - 2/3*m**3 - 2/3*m**2 + 2/3*m = 0. Calculate m.
-1, 0, 1
Suppose -5*g + 19 = -m, -5*g + 4*m = -21 - 10. Factor 2/3*l**4 - 2/3*l - 2*l**g + 0 + 2*l**2.
2*l*(l - 1)**3/3
Let a(p) be the first derivative of 3*p**4/4 - 18*p**3 + 162*p**2 - 648*p + 22. Suppose a(k) = 0. What is k?
6
Suppose -19*h = -9*h - 30. Factor 6*i**5 + 2/3 + 14*i**4 - 4*i**2 + 20/3*i**h - 2*i.
2*(i + 1)**3*(3*i - 1)**2/3
Let i(k) be the first derivative of -k**7/84 - 2*k**6/45 - k**5/20 + k**3/36 + 4*k - 3. Let j(u) be the first derivative of i(u). Factor j(g).
-g*(g + 1)**3*(3*g - 1)/6
Let j(q) = 3*q**2 - 2*q + 2. Let k(x) = -x**2 - 6*x - 4. Let w(r) = -r**2 - 5*r - 3. Let a(l) = 4*k(l) - 5*w(l). Let t(m) = -6*a(m) + 3*j(m). Factor t(i).
3*(i - 2)**2
Let x be 6/(-8) + 6513/3340. Factor 2/5*l**2 + 4/5 + x*l.
2*(l + 1)*(l + 2)/5
Let g(t) be the third derivative of t**8/1344 + t**7/840 - t**6/480 - t**5/240 - 18*t**2. Factor g(h).
h**2*(h - 1)*(h + 1)**2/4
Let o(b) be the third derivative of b**9/12096 + b**8/2240 + b**7/1120 + b**6/1440 + b**3/3 - b**2. Let m(y) be the first derivative of o(y). Factor m(s).
s**2*(s + 1)**3/4
Let v(u) be the third derivative of -3*u**2 + 0*u + 0 + 0*u**4 - 1/150*u**5 + 0*u**3 + 1/300*u**6. Solve v(c) = 0 for c.
0, 1
Let m be 392/63*2/8. Factor -10/9*v - 4/9 + m*v**2.
2*(v - 1)*(7*v + 2)/9
Solve 6/7*h + 0*h**3 - 9/7*h**2 + 0 + 3/7*h**4 = 0.
-2, 0, 1
Let c be 1 + -1 + 51/(-21) + 3. Factor -2/7*j**2 + 0 - c*j**3 - 2/7*j**4 + 0*j.
-2*j**2*(j + 1)**2/7
Factor 5*m**4 + m**2 - 4*m**4 + 0*m**3 - 2*m**4 + m**3 - m**5.
-m**2*(m - 1)*(m + 1)**2
Determine i, given that -419*i**4 + 2*i**2 + 421*i**4 - 6*i**3 + 2*i**3 = 0.
0, 1
Factor -24 + 14*u - u**2 - 18 - 7.
-(u - 7)**2
Let h(d) be the first derivative of -d**8/2800 + d**7/700 + d**6/600 - d**5/100 + d**3 - 3. Let c(m) be the third derivative of h(m). Factor c(l).
-3*l*(l - 2)*(l - 1)*(l + 1)/5
Let g(c) be the third derivative of c**7/105 - c**6/30 + c**4/6 - c**3/3 - 16*c**2. Factor g(h).
2*(h - 1)**3*(h + 1)
Let q = -1 - -3. Suppose 3*k**2 - 1 + 0*k**q + 2*k**2 - 4*k**2 = 0. Calculate k.
-1, 1
Let l be 6/18 + 1/(-3). Let r(c) be the third derivative of 1/60*c**5 - 1/12*c**4 + 1/6*c**3 + l*c + c**2 + 0. Let r(n) = 0. What is n?
1
Suppose 3 = 4*b - 3*b. Determine p, given that -8*p + 56*p**2 + 30*p**3 + 23*p**4 - 168*p**b - 50*p**5 + 117*p**4 = 0.
0, 2/5, 1
Let d be -2 + 0 - 6/(-2). Let m(s) = -2*s**3 - 2*s**2 - 8*s. Let x(n) be the second derivative of n**4/12 + n**3/6 + n. Let q(u) = d*m(u) + 6*x(u). Factor q(p).
-2*p*(p - 1)**2
Let c be -2 - -2 - (2 + -4). Factor 18 + 8*b**2 - 12*b - 2*b**2 - 3*b**c - b**2.
2*(b - 3)**2
Factor -1/2*k**2 + 0 + 0*k.
-k**2/2
Let v be (12/(-9))/4*-15. Solve 2*t**3 + v*t**2 + t**2 - 1 - 3*t**2 = 0.
-1, 1/2
Suppose 4*o = o + 9. Suppose -70 = -7*f + 2*f. Factor -2*h**2 + 0*h**2 + 6*h**5 + 5*h**o - f*h**4 + 5*h**3.
2*h**2*(h - 1)**2*(3*h - 1)
Suppose -3*f = 5*r + 5, -3*r + 2*f + 14 = -r. Find t such that t**5 - 8*t**3 + r*t + 4*t**2 - 2*t**4 + 5*t**5 - 2*t**4 = 0.
-1, -1/3, 0, 1
Let a(l) be the second derivative of -l**5/20 - 2*l**4/9 - 7*l**3/18 - l**2/3 + 3*l + 2. Find b, given that a(b) = 0.
-1, -2/3
Solve 1/3*d**2 - 17/3*d**3 + 0 + 14/3*d**4 + 2/3*d = 0.
-2/7, 0, 1/2, 1
Factor 0 + 0*u + 2/5*u**3 + 4/5*u**2.
2*u**2*(u + 2)/5
Let r(p) be the second derivative of -p**4/10 + p**3/10 + 15*p. Factor r(m).
-3*m*(2*m - 1