+ s**3/4 - 35*s**2. Suppose i(h) = 0. What is h?
-2/5, 2/7
Let y(w) be the first derivative of 1 - 3/7*w**2 + 0*w**3 + 1/14*w**4 - 4/7*w. Factor y(f).
2*(f - 2)*(f + 1)**2/7
Let z = -1/1127 - -11279/10143. Let j(r) be the first derivative of -1 + z*r**3 - r**2 - 4/3*r. Factor j(k).
2*(k - 1)*(5*k + 2)/3
Let u(b) be the first derivative of b**4/18 + 4*b**3/27 + b**2/9 + 7. Factor u(n).
2*n*(n + 1)**2/9
Let j(h) = -10*h**2 + 13*h - 11. Let b = 4 + -2. Let o(z) = z**2 - z + 1. Let t(r) = b*j(r) + 22*o(r). Suppose t(n) = 0. What is n?
-2, 0
Let t(x) = x**2 + 9*x + 12. Let d be t(-5). Let s be (d/(-60))/((-2)/(-10)). Let 1/3 + 1/3*l**5 - s*l**2 + 1/3*l + 1/3*l**4 - 2/3*l**3 = 0. Calculate l.
-1, 1
Let j be (-54)/(-21) + (-4)/7. Factor -j*s**4 - 3*s + 0*s**5 - 2*s**4 - 18*s**3 - 3*s**5 - 8*s**4 - 12*s**2.
-3*s*(s + 1)**4
Let c(b) be the third derivative of -1/360*b**5 + 1/2016*b**8 + 0*b**4 + 1/1260*b**7 + 0 + 0*b - 3*b**2 - 1/720*b**6 + 0*b**3. Find n, given that c(n) = 0.
-1, 0, 1
Suppose -3*k - 2*k = -25. Factor -2 + 2 - 12*b**2 + 2*b**k + 9*b**4 - 5*b**5.
-3*b**2*(b - 2)**2*(b + 1)
Let v(g) be the third derivative of -g**6/180 - 2*g**5/15 - 4*g**4/3 + g**3/6 + 4*g**2. Let c(j) be the first derivative of v(j). Factor c(d).
-2*(d + 4)**2
Let s(g) = -3*g**2 + 2*g + 7. Let a(o) = -16*o**2 + 9*o + 36. Let y(f) = 2*a(f) - 11*s(f). Find b, given that y(b) = 0.
-1, 5
Let g = 73 - 364/5. Let b(y) be the first derivative of -y + g*y**5 + 0*y**3 + 1 - 1/2*y**4 + y**2. Factor b(d).
(d - 1)**3*(d + 1)
Let q(g) be the first derivative of -g**4 - 8*g**3/3 + 2*g**2 + 8*g - 9. Suppose q(w) = 0. What is w?
-2, -1, 1
Let q(w) be the third derivative of w**6/240 + w**5/40 - w**4/48 - w**3/4 - 78*w**2. Factor q(d).
(d - 1)*(d + 1)*(d + 3)/2
Let s(f) be the third derivative of f**5/60 - f**4/8 + f**3/3 + 2*f**2. Let g be s(3). Factor -16 - 10*h**3 - 20*h - 23*h + 50*h**4 - 132*h**g - 45*h.
2*(h - 2)*(h + 1)*(5*h + 2)**2
Suppose -3/8*p**2 + 3/2*p - 3/2 = 0. Calculate p.
2
Let d(m) be the first derivative of 0*m**2 - 1/40*m**5 - 1/12*m**3 - 2*m - 1/12*m**4 - 2. Let u(l) be the first derivative of d(l). Factor u(o).
-o*(o + 1)**2/2
Let x(s) be the third derivative of s**7/315 - s**6/180 - s**5/30 + 5*s**4/36 - 2*s**3/9 - 8*s**2. Determine v so that x(v) = 0.
-2, 1
Let n(o) be the third derivative of o**7/35 + o**6/30 - 8*o**5/15 + 7*o**4/6 - o**3 + o**2 - 2. Factor n(u).
2*(u - 1)**2*(u + 3)*(3*u - 1)
What is y in 3*y**4 + 9*y**2 + 2*y**4 - 6*y - 4*y**4 - 4*y**4 = 0?
-2, 0, 1
Let b(m) be the first derivative of m**3/4 - 3*m**2/4 - 6*m - 12. Determine o, given that b(o) = 0.
-2, 4
Let o = 22 + -14. Let y be 6/o*(-72)/(-189). Factor 6/7*g**3 - y - 6/7*g + 2/7*g**2.
2*(g - 1)*(g + 1)*(3*g + 1)/7
Let t(h) be the first derivative of h**4/26 - 4*h**3/39 + h**2/13 - 6. Suppose t(c) = 0. What is c?
0, 1
Factor -12*h + 2*h**4 - 2*h**2 - 8*h + 4*h**3 + 16*h.
2*h*(h - 1)*(h + 1)*(h + 2)
Let f(b) be the first derivative of 1/30*b**4 + 0*b**2 + 8/15*b - 5 - 2/15*b**3. Find x, given that f(x) = 0.
-1, 2
Let a be (0/(1 - 3))/(-1). Let o be 2 + a - (-1 - 1). Factor -1/5 - 1/5*h**o + 4/5*h**3 + 4/5*h - 6/5*h**2.
-(h - 1)**4/5
Let w be (-228)/(-360) - (-2)/(-15). Factor 0 + w*f**3 + 0*f + 1/3*f**4 + 1/6*f**2.
f**2*(f + 1)*(2*f + 1)/6
Let p be ((-2)/(-4))/(5/(-6) + 1). Let f(l) be the first derivative of 1/12*l**p - 1 - 1/4*l**2 + 0*l. Factor f(i).
i*(i - 2)/4
Let n(j) be the second derivative of j**5/120 + 7*j**2/2 + 8*j. Let d(l) be the first derivative of n(l). Find s, given that d(s) = 0.
0
Factor 18/7*n - 27/7 - 3/7*n**2.
-3*(n - 3)**2/7
Let d(l) be the second derivative of -l**7/14 - l**6/5 + 3*l**5/20 + l**4/2 - 6*l. Find q such that d(q) = 0.
-2, -1, 0, 1
Suppose 3*t = -r + 2*t + 5, 0 = r - 2*t - 2. Suppose 2 - r = -w. Factor 0*o**w + 0 - 2/3*o + 2/3*o**3.
2*o*(o - 1)*(o + 1)/3
Determine c, given that -36*c**3 + 7*c - 11*c - 8*c**4 - 12*c - 48*c**2 = 0.
-2, -1/2, 0
Factor -9/4 - 9/2*z**3 - 21/2*z**2 + 3/4*z**4 + 3/4*z**5 - 33/4*z.
3*(z - 3)*(z + 1)**4/4
Suppose -2*b - 1 - 5 = -v, -2*v + b + 6 = 0. Let w(m) be the third derivative of 0*m**3 + 0 + 0*m - 2*m**v + 4/75*m**5 - 1/60*m**4 - 4/75*m**6. Factor w(a).
-2*a*(4*a - 1)**2/5
Let f = -103 + 108. Factor 2/5*d**2 - 2/5*d**4 + 2/5*d**3 + 0 + 0*d - 2/5*d**f.
-2*d**2*(d - 1)*(d + 1)**2/5
Let n(o) be the third derivative of -o**8/20160 + o**7/2520 + o**6/240 + 7*o**5/60 - 4*o**2. Let v(d) be the third derivative of n(d). Let v(q) = 0. What is q?
-1, 3
Factor -b - 4*b**2 - b**2 - 47*b**4 - 7*b**3 + 44*b**4.
-b*(b + 1)**2*(3*b + 1)
Let p(y) be the first derivative of y**7/210 - y**6/60 - y**5/20 + y**4/6 - 4*y**3/3 - 2. Let t(c) be the third derivative of p(c). Suppose t(a) = 0. What is a?
-1, 1/2, 2
Solve -45 + 2*w + 15*w + 13*w - 5*w**2 = 0 for w.
3
Let z = 1/35 + 4/35. Let 0*c**2 + 1/7*c**4 + 0*c + 0 + z*c**3 = 0. Calculate c.
-1, 0
Let a(g) = -4*g**2 + 8*g + 8. Let k(w) = -1. Let r(x) = -a(x) - 12*k(x). Let r(y) = 0. Calculate y.
1
Let g(y) be the third derivative of 0 + 0*y**3 - 2/105*y**7 - 1/60*y**6 + 3*y**2 + 0*y**5 + 0*y**4 - 1/168*y**8 + 0*y. Find n such that g(n) = 0.
-1, 0
Let h(q) be the second derivative of q**5/80 + q**4/48 - 8*q. Find a such that h(a) = 0.
-1, 0
Let c(i) be the second derivative of -i**6/30 - i**5/10 + i**4/4 + 4*i**3/3 + 2*i**2 - 10*i. Factor c(q).
-(q - 2)*(q + 1)**2*(q + 2)
Let q(t) = 21*t**2 + 20*t + 21. Let s(k) = 4*k**2 + 4*k + 4. Let r(g) = 4*q(g) - 22*s(g). Factor r(o).
-4*(o + 1)**2
Let r(h) be the second derivative of 0 + 0*h**3 + 1/12*h**4 - 1/30*h**6 - 1/20*h**5 - 2*h + 0*h**2 + 1/42*h**7. Factor r(n).
n**2*(n - 1)**2*(n + 1)
Let j(y) be the second derivative of -7*y**5/5 - 44*y**4/3 - 8*y**3 + 5*y - 2. Determine s so that j(s) = 0.
-6, -2/7, 0
Solve 1/9*c**2 + 4/3*c + 4 = 0.
-6
Let u(p) be the second derivative of -p**5/80 - p**4/32 + p**3/4 + 7*p**2/2 - 9*p. Let g(h) be the first derivative of u(h). Factor g(z).
-3*(z - 1)*(z + 2)/4
Let w = -7 + 9. Factor -4*m**3 - w*m**2 - 3*m**4 + 0*m**3 + 0*m**4 + m**4.
-2*m**2*(m + 1)**2
Let s(n) be the third derivative of 4*n**2 + 1/25*n**5 + 0 + 0*n**3 - 1/300*n**6 + 0*n - 3/20*n**4. Determine j so that s(j) = 0.
0, 3
Let p(r) be the first derivative of -r**4/4 + r**3/2 + 3*r**2 - 3*r - 4. Let t(b) be the first derivative of p(b). Factor t(i).
-3*(i - 2)*(i + 1)
Suppose 2*h = -14*d + 9*d, 2*h = 2*d + 14. Find c such that c**4 + 3/2*c**3 + c**2 + 1/4*c**h + 0 + 1/4*c = 0.
-1, 0
Let q(v) be the third derivative of -v**7/105 + v**6/10 - 2*v**5/5 + 5*v**4/6 - v**3 + 11*v**2. Let q(i) = 0. What is i?
1, 3
Find p such that 1 - 1 + 12*p + 24*p - 4*p**2 = 0.
0, 9
Suppose 2*y = -4*h - 1 + 31, -y - 3*h + 20 = 0. Let -11/4*c**3 + 1/4*c**4 - 1 + 2*c + 3/4*c**y + 3/4*c**2 = 0. What is c?
-2, -1, 2/3, 1
Let i = -505 - -2025/4. Determine a, given that -1/2*a + i*a**2 - 1/2*a**3 + 0 = 0.
0, 1/2, 2
Suppose 8 = 7*q + 1. Suppose 2*g = g + 2*j + q, 0 = g + 4*j - 7. Let 4/11*y**2 + 0 - 2/11*y**g - 2/11*y = 0. Calculate y.
0, 1
Let m(g) be the third derivative of -3*g**2 + 0*g + 1/18*g**3 + 1/30*g**5 + 1/630*g**7 - 1/18*g**4 - 1/90*g**6 + 0. Factor m(y).
(y - 1)**4/3
Suppose 0 = -2*u - 2*u + 8. Let 0 + 0*q**2 + 1 + 3*q + q**3 + 3*q**u + 0 = 0. Calculate q.
-1
Let q(y) be the third derivative of -y**6/30 - 3*y**5/5 - 5*y**4/2 - 14*y**3/3 - 21*y**2. Determine t so that q(t) = 0.
-7, -1
Let i(k) be the third derivative of -k**6/24 + 5*k**4/24 - 12*k**2. Factor i(f).
-5*f*(f - 1)*(f + 1)
Let i(k) = 3*k**3 + k. Let c(f) = -f**3 + f**2 - f. Let n(u) = 20*c(u) + 5*i(u). Factor n(b).
-5*b*(b - 3)*(b - 1)
Let i(f) = -7*f**3 + 13*f**2 - 53*f + 45. Let n(j) = 4*j**3 - 6*j**2 + 27*j - 23. Let z(q) = 3*i(q) + 5*n(q). Let z(u) = 0. What is u?
2, 5
Let m(z) be the second derivative of 0 + 0*z**3 + z**2 + 1/90*z**5 - 3*z + 0*z**4 - 1/315*z**7 + 0*z**6. Let g(c) be the first derivative of m(c). Factor g(o).
-2*o**2*(o - 1)*(o + 1)/3
Let q be ((-2)/(-8))/(11/44). Suppose o - a - 8 - q = 0, -4*o + a + 21 = 0. Factor -8/3*j**5 + 0 - 4/3*j**3 + 0*j - 14/3*j**o + 2/3*j**2.
-2*j**2*(j + 1)**2*(4*j - 1)/3
Let f = 4 + -1. Factor -2*a**f + 3*a - 5 + 3*a + 1.
-2*(a - 1)**2*(a + 2)
Suppose -z + 4*z - 90 = 0. Let v be 6/9*9/z. Factor -v*k**4 + 1/5*k**2 + 0 + 0*k + 0*k**3.
-k**2*(k - 1)*(k + 1)/5
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