erivative of h(u). Find v, given that j(v) = 0.
1
Suppose -x = 2*f + 1, 3*x - 3 = 2*f - 14. Let r be f/((-4)/(-1) + -1). Factor 0*n - n**3 - r*n**2 + 0 + 4/3*n**4.
n**2*(n - 1)*(4*n + 1)/3
Let t(c) be the second derivative of 0*c**4 - 1/30*c**6 + 0 + 0*c**3 + 0*c**2 - 1/30*c**5 + 2*c + 10/63*c**7. Let t(w) = 0. Calculate w.
-1/4, 0, 2/5
Find z such that 0 - 2/3*z**3 + 0*z**2 + 0*z + 0*z**4 + 2/3*z**5 = 0.
-1, 0, 1
Let a = 8 + -6. Let t = -1/22 + 13/44. What is u in -1/4 - t*u**a - 1/2*u = 0?
-1
Factor 0*f**3 - 3/5*f**4 + 6/5*f**2 + 0*f - 3/5.
-3*(f - 1)**2*(f + 1)**2/5
Let m be 2/(-4) + (-10)/(-4). Suppose -n - 5 = -m*n, -4*b - 3*n = -23. Factor -y + y + y**b.
y**2
Suppose -5*i + 7 + 3 = 0. Factor -4*r**i - 2*r**4 - r**4 + 2*r - r**4 + 8*r**4 - 2*r**5.
-2*r*(r - 1)**3*(r + 1)
Let f(z) = z. Let r(s) = 4*s**2 - 14*s + 4. Let k(g) = 6*f(g) + r(g). Factor k(d).
4*(d - 1)**2
Let f(u) be the second derivative of u**9/1512 - u**8/840 - u**7/420 + u**6/180 - u**3/3 - u. Let r(p) be the second derivative of f(p). Factor r(k).
2*k**2*(k - 1)**2*(k + 1)
Suppose -9*y = -13 - 5. Suppose -2/5*a - 2/5 + 4/5*a**y = 0. What is a?
-1/2, 1
Let w(h) be the third derivative of -h**8/112 - h**7/70 + h**6/20 + h**5/10 - h**4/8 - h**3/2 + 6*h**2. Suppose w(n) = 0. What is n?
-1, 1
Suppose 0 = k + d + 5, -3*k - 4*d - 12 = 8. Find q such that -2*q**2 + k*q**2 + q + 4*q**2 - q**2 - 2 = 0.
-2, 1
Let h = 57/5 + -41/5. Solve 1/5 + 8/5*d + h*d**2 = 0.
-1/4
Let r(l) = -l**4 - 5*l**3 - 23*l**2 - 19*l - 5. Let q(y) = -2*y**4 - 8*y**3 - 34*y**2 - 28*y - 8. Let g(k) = 5*q(k) - 8*r(k). Suppose g(s) = 0. What is s?
-2, -1, 0, 3
Let v(h) be the second derivative of -h**7/2940 + h**6/1260 + h**5/420 - h**4/84 + h**3/3 - 4*h. Let d(o) be the second derivative of v(o). Factor d(i).
-2*(i - 1)**2*(i + 1)/7
Let u be 91/(-13) - 36/(-5). Determine b so that 2/5*b**2 - 2/5 + u*b**3 - 1/5*b = 0.
-2, -1, 1
Suppose 4*l - 11 = -3. Solve 2/9*s**l + 0 + 2/9*s - 2/9*s**3 - 2/9*s**4 = 0.
-1, 0, 1
Factor -1/2*h**3 + 0 + 1/4*h**5 + 0*h**2 - 1/4*h**4 + 0*h.
h**3*(h - 2)*(h + 1)/4
Let g(q) be the third derivative of 2/15*q**3 + 0 - 4/75*q**6 - 8/175*q**7 - 2*q**2 + 0*q + 1/25*q**5 - 3/280*q**8 + 3/20*q**4. Let g(s) = 0. What is s?
-1, -1/3, 2/3
Suppose 2*t - 3 = 1. Let g(n) be the second derivative of -7/6*n**3 + 0 - 1/2*n**t + 2*n - 2/3*n**4 + 4/5*n**5. Factor g(h).
(h - 1)*(4*h + 1)**2
Factor 2/11*k**2 + 8/11*k**3 + 0 + 10/11*k**4 + 4/11*k**5 + 0*k.
2*k**2*(k + 1)**2*(2*k + 1)/11
Let o(i) be the second derivative of i**5/2 - i**4/3 - 15*i. Let o(r) = 0. What is r?
0, 2/5
Let a(m) be the second derivative of m**4/48 + 7*m**3/24 - 23*m. Factor a(n).
n*(n + 7)/4
Let t(l) be the third derivative of l**7/945 + l**6/54 + 11*l**5/90 + 10*l**4/27 + 16*l**3/27 + 17*l**2. Factor t(z).
2*(z + 1)**2*(z + 4)**2/9
Let t(c) = -3*c**2 + 9*c - 12. Let s(q) = 1. Let a(z) = -6*s(z) - t(z). Find p such that a(p) = 0.
1, 2
Let b be 2 + (-2)/(-3 + 1). Suppose 2/3*z**b - 8/9*z**4 - 2/3*z - 2/9 + 10/9*z**2 = 0. What is z?
-1, -1/4, 1
Let i(y) be the second derivative of -y**7/21 + y**5/10 + 11*y. Factor i(m).
-2*m**3*(m - 1)*(m + 1)
Suppose 3*l + 0*l = 30. Let y be l/4*(-36)/(-45). Solve 1/4*x + 1/4 - 1/4*x**y - 1/4*x**3 = 0 for x.
-1, 1
Let v = -6 - -3. Let h be (v + 1 - -2)/2. Factor h + 2/7*y**3 + 2/7*y + 4/7*y**2.
2*y*(y + 1)**2/7
Let i be (-32)/(-36)*((-6)/(-4) + 0). Factor -8/3*w**2 + 5/3*w**3 - 1/3*w**4 + 0 + i*w.
-w*(w - 2)**2*(w - 1)/3
Let m = -21 - -25. Suppose m*y = -0*y + 8. Solve 23/3*z**2 - 4/3 - y*z + 7/6*z**4 - 11/2*z**3 = 0 for z.
-2/7, 1, 2
Let g(y) be the third derivative of 3*y**2 - 1/120*y**4 + 0 + 0*y + 1/150*y**5 + 0*y**3. Solve g(t) = 0 for t.
0, 1/2
Let d(j) be the first derivative of 49*j**5/10 + 847*j**4/32 + 10*j**3 - 13*j**2/4 - 2*j - 40. Suppose d(w) = 0. Calculate w.
-4, -2/7, 1/4
Let r(q) be the third derivative of 0 + 0*q + q**2 + 0*q**3 + 1/30*q**5 - 1/120*q**6 + 0*q**4. Suppose r(v) = 0. What is v?
0, 2
Let i(c) be the third derivative of c**7/1260 + c**6/720 - c**5/180 + 7*c**2. Find t such that i(t) = 0.
-2, 0, 1
Let d(f) be the third derivative of f**5/60 - f**4/24 - f**3/3 + f**2. Let d(w) = 0. What is w?
-1, 2
Suppose 0 = 3*d - n + 29, 0 = 2*d - 3*n + 33 - 9. Let p = -7 - d. Factor -6 + 2*h**2 + h**p - 7*h**2 - 9*h + h**2.
-3*(h + 1)*(h + 2)
Suppose 18*i = 7*i. Let c(v) be the first derivative of i*v**2 + 2 + 0*v**4 + v + 1/5*v**5 - 2/3*v**3. Solve c(d) = 0 for d.
-1, 1
Suppose 2*y = -4*j - j + 16, -19 = -5*y - 2*j. Let z(i) = -i**3 + 6*i**2 - 5*i - 2. Let m be z(4). Solve 2*p**y + 9*p**2 + 8 - 39*p**2 - 24*p - m*p**3 = 0.
-2, 1/4
Let q be (2/(-7))/(2/(-14)). Suppose q*z - 4*z = 2*f - 18, f + 6 = 2*z. Factor -s**2 - 3*s**z + 4*s**5 + s**3 + 2*s**3 - 3*s**4.
s**2*(s - 1)**3
Let m(u) be the third derivative of -u**2 + 0*u**3 + 0*u**6 + 1/40*u**5 + 0 + 0*u - 1/140*u**7 + 0*u**4. Factor m(v).
-3*v**2*(v - 1)*(v + 1)/2
Factor 0*i**4 - 8*i**3 - 8 - 2*i**2 + 8*i**2 + 8*i + 2*i**4.
2*(i - 2)**2*(i - 1)*(i + 1)
Let a be 1/(-1) - -5 - 1. Suppose -2*v + 7*v = 10. Determine m, given that 0 - 1/2*m**v + 1/2*m**a - 1/2*m + 1/2*m**4 = 0.
-1, 0, 1
Let n(b) be the third derivative of b**7/42 - b**6/12 - b**5/3 + 5*b**4/12 + 5*b**3/2 - 2*b**2 - 10. Suppose n(a) = 0. What is a?
-1, 1, 3
Suppose -1/8*m**2 + 1/4*m + 0 - 1/8*m**3 = 0. Calculate m.
-2, 0, 1
Let r(s) be the third derivative of s**7/42 + s**6/12 - s**5/12 - 5*s**4/12 + 10*s**2. Factor r(p).
5*p*(p - 1)*(p + 1)*(p + 2)
Let m(u) = -9*u**3 - u**2 - u + 6. Let g(s) = 11*s**3 + s**2 + s - 7. Let n(o) = 5*g(o) + 6*m(o). Factor n(k).
(k - 1)**2*(k + 1)
Let k be (-2 + (-8)/(-6))*9/(-36). Solve -1/6*q**2 - k*q**3 + 1/6*q + 1/6 = 0 for q.
-1, 1
Find v such that -12*v**3 + 10*v**3 + v**3 - v**4 = 0.
-1, 0
Let w(y) be the first derivative of y**7/21 - y**6/3 + y**5 - 5*y**4/3 + 5*y**3/3 - y**2 + 2*y + 2. Let b(h) be the first derivative of w(h). Solve b(f) = 0.
1
Let f(k) be the first derivative of 2*k**5/35 - 4*k**3/21 + 2*k/7 + 2. Factor f(w).
2*(w - 1)**2*(w + 1)**2/7
Let g be -8 + (9 - 4) + 5. Let u(j) be the third derivative of 1/240*j**6 + 0*j**5 - 4*j**g - 1/48*j**4 + 0 + 0*j + 0*j**3. Suppose u(i) = 0. Calculate i.
-1, 0, 1
Let k(i) be the second derivative of i**4/48 + i**3/4 + 9*i**2/8 + 3*i. Let k(o) = 0. What is o?
-3
Let v(k) = -k**3 + 3*k**2 + 2. Let n be v(3). Factor -2/3*z + z**4 - 1/3*z**n + 4/3*z**3 + 0.
z*(z + 1)**2*(3*z - 2)/3
Let c = -3 - -5. Factor 2*t + 3*t**3 + 2*t + 9*t**2 + c*t.
3*t*(t + 1)*(t + 2)
Let h be -1*(-18*1 + 1). Let r = 17 - h. Find i, given that r*i - 6/7*i**4 + 4/7*i**3 + 2/7*i**2 + 0 = 0.
-1/3, 0, 1
Let u(v) be the third derivative of 5*v**8/12096 - v**7/1512 + v**6/2160 + v**5/30 + 3*v**2. Let j(h) be the third derivative of u(h). Factor j(m).
(5*m - 1)**2/3
Let c(g) be the second derivative of -g**8/1176 - g**7/735 + g**6/420 + g**5/210 - 2*g**2 + 4*g. Let d(u) be the first derivative of c(u). Factor d(i).
-2*i**2*(i - 1)*(i + 1)**2/7
Let i(f) be the second derivative of 0 - 2/3*f**2 - 3*f + 5/18*f**4 - 1/3*f**3. Factor i(m).
2*(m - 1)*(5*m + 2)/3
Let s(i) be the third derivative of -i**8/784 + i**7/98 - i**6/28 + i**5/14 - 5*i**4/56 + i**3/14 + 7*i**2. Factor s(o).
-3*(o - 1)**5/7
Let k(i) be the first derivative of -3*i**5/5 - i**4 + i**3/3 + i**2 + 24. Let k(w) = 0. Calculate w.
-1, 0, 2/3
Let -3/8 + 9/8*q**2 + 5/4*q - 1/2*q**3 = 0. Calculate q.
-1, 1/4, 3
Let f(g) be the second derivative of -g**6/30 + g**5/10 - g**3/3 + g**2/2 + 27*g. Factor f(d).
-(d - 1)**3*(d + 1)
Let o(t) be the third derivative of t**8/20160 - t**7/2520 + t**6/720 - t**5/360 + t**4/8 - 4*t**2. Let g(v) be the second derivative of o(v). Factor g(w).
(w - 1)**3/3
Let g(k) be the second derivative of k**4/84 - k**3/42 - 8*k. Factor g(i).
i*(i - 1)/7
Let m = 0 - -3. Let 6*a**4 - 4*a**m + 2*a**2 + 4*a**3 - 2*a**5 - 6*a**3 = 0. What is a?
0, 1
Suppose -3*u + 4*v = 10, 0 = -5*u + 2*v + 2 - 0. Solve 0*a + 0 - 2/13*a**u - 2/13*a**5 - 6/13*a**4 - 6/13*a**3 = 0.
-1, 0
Let n be -4 - 0 - (-50)/15 - -1. Suppose -2/3*o**2 + o - n - 2/3*o**3 + o**4 - 1/3*o**5 = 0. What is o?
-1, 1
Suppose 16/3 + 10/3*w**3 + 1/3*w**4 + 40/3*w + 11*w**2 = 0. Calculate w.
-4, -1
What is s in -1/3*s**2 - 2/3 + s = 0?
1, 2
Determine k, given that -2*k**4 - 3*k**2 + 2*