5 - 8*k. Factor u(h).
3*h*(h - 1)**2*(h + 2)/7
Let w(l) be the first derivative of l**6/15 - l**5/5 + 2*l**3/3 - l**2 + 3*l - 4. Let t(a) be the first derivative of w(a). Determine b so that t(b) = 0.
-1, 1
Let p(g) = g**2 - 4*g - 5. Let r be p(6). Let -2 + w**3 - r*w**3 - 14*w - 3*w**2 + 6 + 19*w**2 = 0. Calculate w.
2/3, 1
Let l be 1/(-5) + 78/(-10). Let i = 11 + l. Solve 7*c**5 - 2*c**2 + 3*c**3 - i*c**3 + 3*c**3 + 12*c**4 = 0 for c.
-1, 0, 2/7
Suppose -1 = -3*x - 4. Let u(s) = s**4 + s**2 - s - 1. Let r(f) = -f**4 - 13*f**3 + 3*f**2 + 7*f + 4. Let h(g) = x*r(g) - 6*u(g). Solve h(j) = 0 for j.
-2/5, 1
What is a in 1/2*a**2 + 9/2 + 5*a = 0?
-9, -1
Let a(h) be the third derivative of -3*h**8/112 + h**7/14 + h**6/24 - h**5/4 + 2*h**3/3 + 3*h**2. Factor a(m).
-(m - 1)**3*(3*m + 2)**2
Suppose 1/3*u**2 - 1/3*u**5 + 1/3*u**3 + 0 - 1/3*u**4 + 0*u = 0. What is u?
-1, 0, 1
Let p(z) be the third derivative of -z**7/1785 + z**6/1020 + z**5/170 - 5*z**4/204 + 2*z**3/51 - 7*z**2. Determine t so that p(t) = 0.
-2, 1
Let y(w) = w**3 - 7*w**2 + 5*w - 1. Let v be y(6). Let j(m) = m**2 + 8*m + 8. Let d be j(v). Factor k**2 - 2*k - d + 2*k.
(k - 1)*(k + 1)
Suppose -3*l - 237 - 201 = 0. Let h = -1020/7 - l. Find i such that h*i**2 + 4/7*i**3 + 0 + 0*i + 2/7*i**4 = 0.
-1, 0
Let x(t) be the first derivative of t**3/15 - 4*t/5 - 3. Suppose x(u) = 0. Calculate u.
-2, 2
Let o be (-20)/(-6) + -5 - (1 - 3). Let f(l) be the first derivative of 3/4*l**2 - 3 - 1/2*l - o*l**3. Solve f(u) = 0.
1/2, 1
Let c be 1/(-7)*3*28/(-24). Factor -1/6*b**2 - 1/6*b**4 + 1/3 - c*b**3 + 1/2*b.
-(b - 1)*(b + 1)**2*(b + 2)/6
Suppose -2*f - 45 = -7*f. Let g be (0/f)/(0 + -1). Factor -2/3*o**2 + 2/3 + g*o.
-2*(o - 1)*(o + 1)/3
Let v(u) be the first derivative of -u**4/66 + u**3/11 - 2*u**2/11 + 9*u + 2. Let p(s) be the first derivative of v(s). Factor p(j).
-2*(j - 2)*(j - 1)/11
Let o(l) be the first derivative of l**5/22 + 4*l**4/33 - 4*l**3/33 + 4*l + 8. Let r(q) be the first derivative of o(q). Determine w, given that r(w) = 0.
-2, 0, 2/5
Let t(f) = -7*f**2 + 7*f + 6. Let i(n) be the first derivative of -17*n - 1 + 20/3*n**3 - 10*n**2. Let b(h) = 6*i(h) + 17*t(h). Let b(d) = 0. What is d?
0, 1
Let n(m) = 17*m**5 + 9*m**4 - 10*m**3 - 10*m**2 + m + 17. Let p(f) = 6*f**5 + 3*f**4 - 3*f**3 - 3*f**2 + 6. Let o(s) = -3*n(s) + 8*p(s). Solve o(i) = 0.
-1, 1
Let l be -2 - -1 - (1 - 6). Let q be (5/2)/5*l. Factor 0 + 2/3*t**q + 0*t.
2*t**2/3
Let t(d) be the third derivative of -d**8/504 + 4*d**7/315 - d**6/30 + 2*d**5/45 - d**4/36 - 4*d**2. Factor t(j).
-2*j*(j - 1)**4/3
Factor -1 + 119*h + 28*h**3 - 9*h**4 - 222*h + 115*h - 30*h**2.
-(h - 1)**3*(9*h - 1)
Let v be (-1)/(-2) - 15/(-2). Factor -i + 0*i - 2*i**4 - 10*i**2 + 5*i + v*i**3.
-2*i*(i - 2)*(i - 1)**2
Let i(y) = 7*y**2 + 7*y + 18. Let v(u) = u**2 - u. Let a = -3 + -2. Let f(q) = a*v(q) + i(q). Factor f(s).
2*(s + 3)**2
Factor 0 + 0*y + 1/5*y**2 - 1/5*y**3.
-y**2*(y - 1)/5
Let i(g) = -26*g**2. Let w(c) be the second derivative of -3*c**4/4 - 6*c. Let l(h) = 6*i(h) - 17*w(h). Let l(b) = 0. What is b?
0
Suppose 5*b - 26 = -6. Let n(o) be the second derivative of 0*o**2 + 2*o + 0*o**3 + 0 + 0*o**b - 1/40*o**5 - 1/60*o**6. Find y such that n(y) = 0.
-1, 0
Let u(d) be the first derivative of d**6/9 - 2*d**4/3 - 4*d**3/9 + d**2 + 4*d/3 + 6. Factor u(i).
2*(i - 2)*(i - 1)*(i + 1)**3/3
What is m in 3*m - 3/2*m**2 - 3/2*m**3 + 0 = 0?
-2, 0, 1
Let c(q) = q**2 + 4*q - 1. Suppose 10*x = 5*x - 40. Let i = x - -6. Let z(h) = h**2 + 5*h - 2. Let a(u) = i*z(u) + 3*c(u). Factor a(o).
(o + 1)**2
Let x(n) be the third derivative of n**6/30 - 2*n**5/15 - 25*n**2. Find d, given that x(d) = 0.
0, 2
Let q(j) be the second derivative of j**4/4 + 3*j**3 + 14*j. Factor q(l).
3*l*(l + 6)
Suppose 3*r + 6*g = 3*g - 36, -5*r = -4*g + 33. Let d be -2 - (r/2 + 2). Suppose 1/2*n**2 - n + d = 0. What is n?
1
Let d(m) = -m**3 + 7*m**2 + 9*m - 6. Let u = -5 - -13. Let a be d(u). Find y such that -y**2 - 3*y**a - y**3 - y**4 + 2 + 5*y + 7*y**2 = 0.
-1, 2
Find u such that 18/11*u**3 + 18/11*u**4 + 36/11*u + 0 - 6/11*u**5 - 6*u**2 = 0.
-2, 0, 1, 3
Let n = -25/64 + 2707/704. Find t such that 4/11*t + 2*t**2 + 4*t**3 + n*t**4 + 12/11*t**5 + 0 = 0.
-1, -2/3, -1/2, 0
Let z(w) be the second derivative of w**6/120 + w**5/32 + w**4/24 + w**3/48 + 14*w. Solve z(d) = 0.
-1, -1/2, 0
Factor -10*u - 3*u**3 + 18*u - 17*u - 12*u**2.
-3*u*(u + 1)*(u + 3)
Let q(x) be the first derivative of -4 + 1/14*x**4 + 0*x - 4/21*x**3 + 1/7*x**2. Let q(h) = 0. What is h?
0, 1
Let q(i) be the second derivative of 1/4*i**2 + 0*i**3 + 3*i - 1/24*i**4 + 0. Let q(x) = 0. Calculate x.
-1, 1
Let o = 29/69 + -2/23. Let u(l) be the second derivative of o*l**3 - 4/15*l**6 + 0*l**2 + 0 - l + 0*l**5 + 1/2*l**4. Factor u(n).
-2*n*(n - 1)*(2*n + 1)**2
Let y(b) = -b - 4. Let l be y(-8). Suppose -8 = 2*c, -l*k - k - 8 = 2*c. Factor -m + k*m - 2*m**2 + 2*m**3 - 2*m**3 - m**3.
-m*(m + 1)**2
Let u(b) = -3*b**2 - 30*b - 23. Let w(v) = 2*v**2 + 30*v + 22. Let q(r) = 3*u(r) + 2*w(r). Solve q(p) = 0 for p.
-5, -1
What is k in -314 - 3*k - 3*k**4 - 9*k**3 + 314 - 9*k**2 = 0?
-1, 0
Let i = 37621/60 + -627. Let q(z) be the third derivative of 0*z + 0 - 2*z**2 + i*z**5 + 1/360*z**6 + 0*z**3 - 1/72*z**4 - 1/210*z**7. Factor q(x).
-x*(x - 1)*(x + 1)*(3*x - 1)/3
Let x be -1 - (-7)/3 - 17/17. Suppose -7/3*b - 14/3*b**2 + 5*b**4 - 2/3*b**3 - x + 3*b**5 = 0. Calculate b.
-1, -1/3, 1
Let u(o) be the third derivative of o**5/210 - o**4/28 - 4*o**3/21 - 6*o**2. Factor u(v).
2*(v - 4)*(v + 1)/7
Let b be 2/(-10) + (-66)/(-30). Factor 2/3*v**b + 2/3 - 4/3*v.
2*(v - 1)**2/3
Factor -5/3*j + 1/6*j**3 + 0 + 1/2*j**2.
j*(j - 2)*(j + 5)/6
Let p(h) be the first derivative of 9*h**4/4 - 3*h**2/2 + 2. Let i(u) = u**4 + 10*u**3 - 2*u - 1. Let l(a) = -3*i(a) + 4*p(a). Factor l(q).
-3*(q - 1)**3*(q + 1)
Let z(t) be the second derivative of 0*t**3 + 3*t + 0 + 1/80*t**5 + 1/24*t**4 + 0*t**2. Solve z(y) = 0.
-2, 0
Let a(o) be the third derivative of 0 + 0*o**3 - 1/96*o**4 + 1/60*o**5 - 1/80*o**6 + 1/210*o**7 - 5*o**2 + 0*o - 1/1344*o**8. Find c, given that a(c) = 0.
0, 1
Let b(h) be the first derivative of h**4/12 - h**2/6 + 5. Factor b(u).
u*(u - 1)*(u + 1)/3
Let o(u) = u**2 - 2*u. Let p be o(0). What is x in -2/7*x**2 + p + 0*x = 0?
0
Let w(y) be the third derivative of -y**5/15 - y**4/2 + 8*y**3/3 + 12*y**2. Let w(a) = 0. What is a?
-4, 1
Suppose 5*v - 82 = -4*y, -4*y + v = -3*v - 64. Let x be ((-4)/(-1))/(7/y). Find h, given that 8*h**4 + 4/7 - 60/7*h**2 + 2/7*h + 10*h**3 - x*h**5 = 0.
-1, -2/9, 1/2, 1
Let i = -18 + 21. Suppose -4*w - 3*c + 11 = 0, i*w = -0*w - 2*c + 8. Factor 4/13*j**w - 2/13*j + 0.
2*j*(2*j - 1)/13
Let r(g) be the second derivative of g**7/35 - 7*g**6/75 + 3*g**5/50 + g**4/10 - 2*g**3/15 - 3*g. Factor r(o).
2*o*(o - 1)**3*(3*o + 2)/5
Let s be (52/(-85))/(-7 - -9). Let h = 12/17 + s. Find r, given that 2/5 + h*r**2 - 4/5*r = 0.
1
Suppose 0*x - 1/2*x**5 + 1/2*x**3 + 0 + 0*x**4 + 0*x**2 = 0. What is x?
-1, 0, 1
Let g(h) = -h**5 - h**4 + h**3 + h**2 - h. Let i(b) = -2*b**3 - 3*b**5 + b - b**2 + 4*b**4 + 6*b**5 - 3*b**2. Let v(z) = 4*g(z) + 2*i(z). Solve v(s) = 0 for s.
-1, 0, 1
Let h(o) be the second derivative of -o**5/4 + 5*o**4/12 + 10*o**3/3 - 10*o**2 - o + 22. Let h(t) = 0. Calculate t.
-2, 1, 2
Let r(c) = -27*c**2 - 268*c + 24. Let u be r(-10). Factor -1/4*v**u - 1/2*v + 0 - 1/2*v**2 + 7/8*v**3.
-v*(v - 2)**2*(2*v + 1)/8
Let u = -81 - -84. Suppose 0*p + 9/5*p**4 + 0 + 36/5*p**3 - u*p**5 + 12/5*p**2 = 0. Calculate p.
-1, -2/5, 0, 2
Let j(b) be the third derivative of -b**6/30 - 2*b**5/15 - 5*b**4/24 - b**3/6 + b**2. Determine l, given that j(l) = 0.
-1, -1/2
Let l(o) = 2*o + 1. Let s be l(1). Suppose t + 0 - s = 0. Let -4*k**t - 2*k + 2*k**2 + k + 3*k**3 = 0. What is k?
0, 1
Let k = -19/636 - -6/53. Let u(h) be the second derivative of -1/10*h**5 + 2*h + 0*h**2 + 0*h**3 - k*h**4 + 0. Factor u(g).
-g**2*(2*g + 1)
Let s(n) be the first derivative of 0*n**2 + 1 - 2/19*n + 2/57*n**3. Factor s(w).
2*(w - 1)*(w + 1)/19
Let c(g) be the first derivative of 2*g**3 - 5*g**2 + 4*g + 16. Let c(x) = 0. What is x?
2/3, 1
Let v(u) be the second derivative of u**5/10 + u**4/3 + u**3/3 + 7*u. Factor v(w).
2*w*(w + 1)**2
Suppose -5*i + 17*p = 16*p - 