t q be -2 - (21/(-5) - 1/(-5)). Let 0 - 1/2*g + g**4 + 0*g**3 + 1/2*g**5 - g**q = 0. Calculate g.
-1, 0, 1
Let h = -55 + 59. Let q(z) be the second derivative of 1/14*z**7 - 7/15*z**6 - z**2 + h*z + 0 - 2*z**4 + 11/6*z**3 + 13/10*z**5. Factor q(t).
(t - 1)**4*(3*t - 2)
Let y(k) = 9*k**2 + 5*k - 4. Let h(a) = -10*a**2 - 6*a + 4. Let r(z) = 5*h(z) + 6*y(z). Let r(n) = 0. What is n?
-1, 1
Let p(b) be the first derivative of b**6/900 - b**5/75 + b**4/20 - 7*b**3/3 - 3. Let c(z) be the third derivative of p(z). Solve c(q) = 0 for q.
1, 3
Let j(a) = -5*a**4 + 185*a**3 + 35*a**2 + 35*a - 35. Let x(d) = -d**4 + 31*d**3 + 6*d**2 + 6*d - 6. Let z(c) = -6*j(c) + 35*x(c). Find f, given that z(f) = 0.
-5, 0
Let j be (-15)/(-30) + 2/4. Let i(l) be the first derivative of 2/3*l**2 - j - 5/6*l**4 + 0*l + 2/3*l**3. Factor i(o).
-2*o*(o - 1)*(5*o + 2)/3
Let s(k) be the first derivative of 4/3*k**2 - 13/18*k**4 - 1/6*k**5 - 4/9*k**3 + 4 - 2*k. Let l(v) be the first derivative of s(v). Let l(j) = 0. What is j?
-2, -1, 2/5
Suppose -a - 18 = -4*a. Let b be 3/((-2)/((-8)/a)). Solve 0*f + 3*f - f + 2*f**b = 0 for f.
-1, 0
What is l in 0*l**2 + 4/3*l**3 + 8/3 - 4*l = 0?
-2, 1
Let a(h) = -17*h**2 - 41*h + 49. Let z(t) = 4*t**2 + 10*t - 12. Let n(f) = -2*a(f) - 9*z(f). Factor n(c).
-2*(c - 1)*(c + 5)
Let n(x) be the first derivative of -x**5/20 + x**3/6 - x/4 - 1. Solve n(q) = 0 for q.
-1, 1
Let w(n) be the third derivative of -n**6/40 + 3*n**5/20 + n**4/2 + 15*n**2. Determine i, given that w(i) = 0.
-1, 0, 4
Let v be 1/(20/(-982)) + 3. Let o = v - -93/2. What is k in 0 - 2/5*k**2 + o*k = 0?
0, 1
Let g be 3 - -2 - (-657)/(-146). Solve 1/4*l - l**2 + 5/4*l**3 + 0 - g*l**4 = 0 for l.
0, 1/2, 1
Let s(p) be the third derivative of p**8/23520 - p**7/4410 - p**4/6 - 3*p**2. Let k(d) be the second derivative of s(d). What is b in k(b) = 0?
0, 2
Suppose -z = -16 + 17. Let i be ((-60)/(-16) + -4)*z. Factor -1/4*a + i*a**3 + 1/4*a**2 - 1/4.
(a - 1)*(a + 1)**2/4
Let q(m) be the second derivative of 0 + 0*m**5 - 1/10*m**6 + 0*m**2 + 3/4*m**4 + m**3 + 3*m. Factor q(d).
-3*d*(d - 2)*(d + 1)**2
Suppose 4*g = 5*g. Let a(v) be the first derivative of -1/4*v**4 + 1 + 0*v**2 + 1/9*v**3 - 1/18*v**6 + g*v + 1/5*v**5. Factor a(f).
-f**2*(f - 1)**3/3
Factor 49*l**2 + 5*l**3 - 6*l - 4*l - 44*l**2.
5*l*(l - 1)*(l + 2)
Let g(i) be the second derivative of 2*i + 6*i**2 + 0 - 10*i**3 + 25/4*i**4. Suppose g(v) = 0. What is v?
2/5
Let p(y) be the third derivative of y**7/630 + y**6/180 - y**5/60 - y**4/9 - 2*y**3/9 + 26*y**2. Determine u so that p(u) = 0.
-2, -1, 2
Let x(v) be the first derivative of 0*v + 1/10*v**4 + 3 + 1/5*v**2 - 4/15*v**3. Factor x(f).
2*f*(f - 1)**2/5
Suppose -20 = -2*z - 2*z. Factor -3*t - 8*t**2 + t**4 - z*t**3 - 2*t**4 - t.
-t*(t + 1)*(t + 2)**2
Solve 0*f**2 + 6 - 27*f + 3*f**2 - 10*f**4 + f**4 + 0*f**2 + 39*f**3 - 12*f**5 = 0.
-2, -1, 1/4, 1
Suppose 0 = -5*l + 15 - 0. Let s = -1 + l. Suppose 0*d - 7*d**2 + 8*d**3 - 2*d + d**s = 0. What is d?
-1/4, 0, 1
Let s(g) be the second derivative of -g**4/24 + 5*g**3/6 - 25*g**2/4 - 12*g. Let s(k) = 0. Calculate k.
5
Let i(j) be the second derivative of 1/42*j**4 + 1/7*j**3 + 0 - 4*j + 2/7*j**2. Factor i(u).
2*(u + 1)*(u + 2)/7
Let f(x) be the second derivative of 4*x - 1/30*x**4 + 0*x**2 + 0 + 1/15*x**3. Factor f(m).
-2*m*(m - 1)/5
Let q be ((-10)/80)/((-1)/2). Factor 0 + 1/4*m + 3/4*m**2 + q*m**4 + 3/4*m**3.
m*(m + 1)**3/4
Factor -1/6*w**5 + 1/3*w**4 + 1/6*w + 0 + 0*w**3 - 1/3*w**2.
-w*(w - 1)**3*(w + 1)/6
Let f(n) be the second derivative of 2*n**4/3 - 2*n**3 - 4*n**2 + 2*n. Solve f(j) = 0.
-1/2, 2
Factor -100*w**2 - 9*w + 8 + 21*w + 108*w - 44.
-4*(5*w - 3)**2
Factor 0 + 1/2*v**2 + 5/2*v.
v*(v + 5)/2
Let y(c) be the first derivative of 2/45*c**5 + 1/18*c**4 - 1/9*c**2 + 4/9*c + 1 - 2/9*c**3. Solve y(l) = 0.
-2, -1, 1
Let w(s) be the third derivative of -5*s**8/1008 + s**7/42 - s**6/72 - s**5/12 + 5*s**4/36 - 24*s**2. Find c, given that w(c) = 0.
-1, 0, 1, 2
Let h(u) be the first derivative of u**6/27 - 2*u**5/45 - u**4/9 - 12. Factor h(x).
2*x**3*(x - 2)*(x + 1)/9
Suppose -o = -6 + 2. Suppose 0*c + 7 = 3*c + p, -4*c - o*p = -12. Factor 0 - 14/3*i**5 - 8*i**4 + 0*i - c*i**3 + 4/3*i**2.
-2*i**2*(i + 1)**2*(7*i - 2)/3
Let f(x) be the second derivative of -x**4/12 - x**3/3 + 3*x**2/2 + x. Let d be f(-3). Suppose 0*a - 2*a + 2*a**2 + d*a**2 = 0. Calculate a.
0, 1
Suppose -6 = -3*p - 0. Let m(o) be the third derivative of 0 + 1/24*o**5 - o**p + 1/3*o**3 + 0*o + 1/240*o**6 + 1/6*o**4. Factor m(n).
(n + 1)*(n + 2)**2/2
Factor -14*l**5 - 16*l**5 - 6*l**4 + 2*l**4 + 28*l**5.
-2*l**4*(l + 2)
Let p = -3 + 5. Find r such that -2*r**2 + p + 3 - 3 = 0.
-1, 1
Let q(t) be the second derivative of t**5/40 - 3*t**4/8 + 9*t**3/4 + 5*t**2/2 - 8*t. Let a(d) be the first derivative of q(d). Determine h so that a(h) = 0.
3
Let j = -22 + 24. Factor -2/7 + 10/7*v - 8/7*v**j.
-2*(v - 1)*(4*v - 1)/7
Let p(n) = 22*n**5 - 60*n**4 + 75*n**3 - 23*n**2 - 7. Let s(f) = -15*f**5 + 40*f**4 - 50*f**3 + 15*f**2 + 5. Let h(q) = -5*p(q) - 7*s(q). Factor h(m).
-5*m**2*(m - 2)*(m - 1)**2
Let d be 2 + 4*(-2)/(-8). Let q(p) be the third derivative of 1/90*p**5 - 2*p**2 + 0*p**4 + 0 - 1/9*p**d + 0*p. Factor q(m).
2*(m - 1)*(m + 1)/3
Let k(w) = 5*w**3 - 25*w**2 - 5*w + 30. Let u(t) = 8*t**3 - 38*t**2 - 8*t + 45. Let j(f) = -7*k(f) + 5*u(f). Determine g, given that j(g) = 0.
-1, 1, 3
Let a(s) be the second derivative of 0*s**2 + 3/10*s**5 + 1/9*s**6 + 7/18*s**4 + 0 + 1/63*s**7 + 2/9*s**3 + 6*s. What is v in a(v) = 0?
-2, -1, 0
Let j be ((-3)/4)/(54/(-80)). Let g = 1 + -1. Factor -4/9*m + j*m**3 + 2/3*m**2 + g.
2*m*(m + 1)*(5*m - 2)/9
Let j(z) be the third derivative of -z**9/20160 + z**8/6720 - z**5/30 + 2*z**2. Let h(s) be the third derivative of j(s). Solve h(d) = 0.
0, 1
Let n be 0*(6 - 5)*(-2 + 1). Let s(m) be the second derivative of 1/24*m**4 + 0 + n*m**3 + 0*m**5 - 1/120*m**6 - 1/8*m**2 - m. Factor s(j).
-(j - 1)**2*(j + 1)**2/4
Factor 0*h**4 + 10*h**4 - 15*h**3 + 4 - 28*h + 6*h**4 + 60*h**2 - 37*h**3.
4*(h - 1)**3*(4*h - 1)
What is y in 0 + 8/3*y + 16/3*y**3 - 20/3*y**2 - 4/3*y**4 = 0?
0, 1, 2
Let r(y) = -y**3 - 6*y**2 + 7*y + 3. Let h be r(-7). Suppose 2*p - p - h = 0. Factor -1/3*g**2 + 0 - 1/3*g**p + 0*g.
-g**2*(g + 1)/3
Suppose 15 = 5*g - 0*g. Let -3 + v**2 - 3*v - v**3 + 2*v**2 + 0*v**g + 4*v**3 = 0. What is v?
-1, 1
Let a(k) be the second derivative of 0 + 1/3*k**4 + 0*k**2 - 1/5*k**5 + 0*k**3 + 4*k. Let a(g) = 0. What is g?
0, 1
Factor -9/2*q + 0 + 3/4*q**2.
3*q*(q - 6)/4
Factor 3/7*d**2 + 6/7 - 9/7*d.
3*(d - 2)*(d - 1)/7
Let s(n) = -n**2 + 4*n + 11. Let m(l) = 2*l**2 - 12*l - 34. Let k(h) = 3*m(h) + 10*s(h). Factor k(g).
-4*(g - 2)*(g + 1)
Let j(g) be the second derivative of -2/5*g**2 + 2/15*g**4 + 0 - 2/75*g**6 - 1/15*g**3 + 1/25*g**5 + 8*g - 1/105*g**7. Determine z, given that j(z) = 0.
-2, -1, 1
Let u(o) be the first derivative of 5/6*o**4 - o**3 + o - 2*o**2 + 1. Let d(p) be the first derivative of u(p). Factor d(h).
2*(h - 1)*(5*h + 2)
Factor 5*t**2 + 10*t**4 - 15*t**4 + t**5 + 4*t**5 + 20 - 25*t**3 + 40*t.
5*(t - 2)**2*(t + 1)**3
Let j be (3/54)/((-2)/(-3)). Let u(b) be the first derivative of 0*b**2 - 1/24*b**6 + 1/16*b**4 + j*b**3 + 0*b + 3 - 1/20*b**5. Find r such that u(r) = 0.
-1, 0, 1
Let i(k) be the first derivative of -2*k - 2 + 0*k**3 + 0*k**2 + 1/40*k**5 + 1/12*k**4. Let r(w) be the first derivative of i(w). Factor r(u).
u**2*(u + 2)/2
Factor 1/2*u**2 + 11/3 + 35/6*u.
(u + 11)*(3*u + 2)/6
Let h(d) be the third derivative of -d**6/30 - 4*d**5/15 - 5*d**4/6 - 4*d**3/3 - 20*d**2. Suppose h(p) = 0. Calculate p.
-2, -1
Let d = -12 + 20. Solve -8*q**4 + 3*q + 12*q**5 - 16*q**5 + q + 0*q + d*q**2 = 0.
-1, 0, 1
Suppose -5*h = 3*b + 32, -4*b - 35 = 4*h + 21. Let y = 21 + b. Determine w so that 0 + 0*w - 4/7*w**y - 2/7*w**3 = 0.
-2, 0
Let c be (-3)/5 - 3/(-5). Let j(v) = -v**2 + 3. Let y be j(c). Factor 0*k - 6*k + y*k**3 + 3*k.
3*k*(k - 1)*(k + 1)
Let l(x) be the first derivative of 1/2*x + 0*x**2 - 2 - 1/6*x**3. Factor l(k).
-(k - 1)*(k + 1)/2
Let t(c) be the first derivative of -2 - 1/8*c**2 + 1/8*c**4 + 0*c**3 + 0*c**5 + 0*c - 1/24*c**6. Suppose t(p) = 0. Calculate p.
-1, 0, 1
Let x = 570 - 570. Solve 0*r + x + r**2 + 1/2*r**3 = 0 for r.
-2, 0
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