. Find i, given that -2*i**4 + d*i**2 + 2*i**2 + i**2 - i**2 = 0.
-1, 0, 1
Let g(r) be the third derivative of -r**7/12600 - r**6/3600 - r**4/8 + 3*r**2. Let l(i) be the second derivative of g(i). Suppose l(o) = 0. Calculate o.
-1, 0
Let q(p) = 20*p**3 + 56*p**2 - 23*p + 4. Let i(g) = -g**3 - 2*g. Let r(d) = -4*i(d) - q(d). Factor r(a).
-(a + 4)*(4*a - 1)**2
Let y = 0 + 4. Let p = y - 0. Solve -1/2*f + 12*f**4 - 11*f**3 - 9/2*f**5 + p*f**2 + 0 = 0 for f.
0, 1/3, 1
Let z(g) be the second derivative of 3*g**5/50 + 2*g**4/15 + g**3/15 + 2*g. Factor z(a).
2*a*(a + 1)*(3*a + 1)/5
Let q(w) be the third derivative of w**7/210 - w**6/120 - w**5/15 + w**4/6 + 4*w**2. Find y, given that q(y) = 0.
-2, 0, 1, 2
Let k(z) = 9*z**3 - 11*z**2 + 16*z + 5. Let c(y) = 5*y**3 - 5*y**2 + 8*y + 3. Let t(p) = 10*c(p) - 6*k(p). Let t(n) = 0. Calculate n.
0, 2
Solve -p**2 + 2018*p**5 - 3*p**3 + 4*p**2 - 3*p**4 - 2015*p**5 = 0 for p.
-1, 0, 1
Let d be 12/30 + 23/5. Suppose -v**2 - 4*v**3 + v**2 - v**2 + d*v**3 = 0. What is v?
0, 1
Let n(t) = -t**3 - 5*t**2 - 4*t + 2. Let v be n(-4). Suppose -12*g**v + 15*g**2 - 24*g + 7*g**2 + 8 = 0. What is g?
2/5, 2
Let t = -142 + 145. Solve -1/4 + 1/4*u**2 + 1/4*u - 1/4*u**t = 0 for u.
-1, 1
Let x = -172/21 - -62/7. Determine n, given that -2 - x*n**2 + 2/3*n**3 - 10/3*n = 0.
-1, 3
Let n be ((-3)/9)/(12/(-9)). Let -3/2*y**2 - 3*y - n*y**3 - 2 = 0. Calculate y.
-2
Let x(r) be the first derivative of -7/3*r**2 + 4/3*r + 16/9*r**3 - 2 - 4/15*r**5 - 1/3*r**4 + 1/9*r**6. Suppose x(z) = 0. Calculate z.
-2, 1
Suppose 0 = -l + 3*c - c - 4, -l + c - 1 = 0. Let h be ((-4)/5)/(14/(-5)). Let h*b - 2/7*b**l + 0 = 0. What is b?
0, 1
Let b(h) be the first derivative of -h**6/3 - 4*h**5/5 + 4*h**3/3 + h**2 - 10. Let b(g) = 0. Calculate g.
-1, 0, 1
Suppose -5*w + 8*w - 11 = 5*x, -1 = -3*w - 5*x. Determine f so that 0 - 2/7*f**w + 2/7*f = 0.
0, 1
Suppose 0 = 30*i - 29 - 31. Find p such that 4/5*p**i + 1/5*p**3 + 2/5 + p = 0.
-2, -1
Let o(c) = c**5 - 2*c**4 + 6*c**3 - 7*c**2 - c. Let s(k) = -6*k**5 + 13*k**4 - 37*k**3 + 42*k**2 + 5*k. Let i(b) = -34*o(b) - 6*s(b). Let i(r) = 0. What is r?
0, 1, 2
Suppose -6*y = -y - 55. Solve -c - y*c**2 + 10*c**2 + 3*c = 0.
0, 2
Suppose 18 = 2*w - 52. Let k be (-14)/w*(-4 - -3). Factor k*r**2 + 2/5*r - 2/5 - 2/5*r**3.
-2*(r - 1)**2*(r + 1)/5
Determine v, given that -2/9*v - 2/9*v**2 + 0 = 0.
-1, 0
Let l(p) be the first derivative of -4*p**3/3 + 5*p**2 - 4*p + 8. Factor l(c).
-2*(c - 2)*(2*c - 1)
Factor 16*i + 15 - 7 - 21*i**2 - i**2 + 6*i**3.
2*(i - 2)**2*(3*i + 1)
Let h = 1979/3 - 13199/20. Let z = 1/20 - h. Solve z - 5/3*d - 6*d**4 + 7*d**3 + 1/3*d**2 = 0 for d.
-1/2, 1/3, 1
Let v(r) be the first derivative of r**6/1080 - r**5/360 + 2*r**3/3 - 3. Let o(p) be the third derivative of v(p). Let o(t) = 0. What is t?
0, 1
Let b(n) be the first derivative of n**6/6 + n**5/5 - 3*n**4/4 - 5*n**3/3 - n**2 + 2. Factor b(m).
m*(m - 2)*(m + 1)**3
Let s(f) be the third derivative of 2*f**2 + 0*f**3 + 0*f**4 + 1/150*f**5 + 0*f + 0 - 1/525*f**7 - 1/840*f**8 + 1/300*f**6. Factor s(b).
-2*b**2*(b - 1)*(b + 1)**2/5
Let a(k) be the third derivative of -k**8/462 - 8*k**7/1155 - k**6/660 + 7*k**5/330 + 5*k**4/132 + k**3/33 + 5*k**2. Determine p, given that a(p) = 0.
-1, -1/2, 1
Suppose -w + 2 = -2, 5 = -y + 2*w. Factor 0 + 8/5*j**2 + 8/5*j + 2/5*j**y.
2*j*(j + 2)**2/5
Let x = -2 + 5. Let 1/3*o**x + 2/3*o**2 - 1/3*o - 2/3 = 0. What is o?
-2, -1, 1
Let d(q) = 2*q**2 + q. Let z be d(1). Factor -3*s**z - 3*s**4 + s**4 - s**3 + 3*s**2 + 3*s**2.
-2*s**2*(s - 1)*(s + 3)
Let o = 14 + -11. Factor -4*h**o - 31*h - 4*h**4 + 8*h**2 + 31*h.
-4*h**2*(h - 1)*(h + 2)
Let t = -9 + 13. Let q(z) be the third derivative of 2*z**2 - 1/270*z**5 + 0 + 0*z + 0*z**3 + 0*z**t. Determine h, given that q(h) = 0.
0
Let f(m) = 5*m - 5. Let z be f(7). Let w be 2/4 - 3/z. Factor w*y**2 + 0*y + 0.
2*y**2/5
Find l such that 10*l**3 - 4*l**3 + 33*l**2 - 3 - 3 + 15*l + 6*l**3 = 0.
-2, -1, 1/4
Let g(i) be the second derivative of 1/50*i**5 + 1/105*i**7 + 0*i**4 + 0*i**2 + 0 + 0*i**3 + 3*i - 2/75*i**6. Find p such that g(p) = 0.
0, 1
Let x(f) be the first derivative of -4/5*f + 1/10*f**4 + 1/5*f**3 - 2 - 2/5*f**2 - 1/25*f**5. Factor x(z).
-(z - 2)**2*(z + 1)**2/5
Let j be (-1005)/(-10)*(-64)/18. Let r = j + 362. What is a in r*a**2 + 2/3*a + 16/3*a**3 + 0 - 32/3*a**4 = 0?
-1/4, 0, 1
Let q(o) = -o**3 - 4*o**2 + 3*o - 8. Let k be q(-5). Let y(l) be the first derivative of 4/7*l + 4 - 3/7*l**k - 10/21*l**3. Determine p so that y(p) = 0.
-1, 2/5
Let v(o) be the first derivative of -o**6/120 - o**5/40 + o**4/16 + o**3/6 - o**2/2 + 4*o + 1. Let q(r) be the first derivative of v(r). Factor q(p).
-(p - 1)**2*(p + 2)**2/4
Let c = -28 - -28. Let n(y) be the first derivative of 0*y + c*y**2 + 2 - 2/3*y**3 + 1/2*y**4. Factor n(m).
2*m**2*(m - 1)
Let k(i) be the third derivative of i**8/1008 - i**7/630 - i**6/360 + i**5/180 + 14*i**2. Determine h so that k(h) = 0.
-1, 0, 1
Let r(b) = -7*b**3 - 5*b**2 + 6*b + 1. Let p(m) = -4*m**3 - 3*m**2 + 3*m + 1. Let h(i) = -10*p(i) + 6*r(i). Determine n, given that h(n) = 0.
-2, 1
Let h(r) be the second derivative of 7*r**6/60 - 23*r**5/40 + 9*r**4/8 - 13*r**3/12 + r**2/2 + 18*r. Factor h(q).
(q - 1)**3*(7*q - 2)/2
Let h(n) be the second derivative of -3*n**5/40 - 11*n**4/8 - 6*n**3 + 27*n**2 - 20*n. Factor h(u).
-3*(u - 1)*(u + 6)**2/2
Let w(p) be the third derivative of p**8/504 + p**7/315 - p**6/60 - p**5/90 + p**4/18 - 17*p**2. Let w(b) = 0. Calculate b.
-2, -1, 0, 1
Let x(n) be the second derivative of -n**4/24 - n**3/6 + 3*n**2/4 + 4*n. Find h such that x(h) = 0.
-3, 1
Let f(h) be the first derivative of h**8/112 - 2*h**7/35 + 3*h**6/20 - h**5/5 + h**4/8 + h**2/2 - 4. Let o(r) be the second derivative of f(r). Factor o(l).
3*l*(l - 1)**4
Let w(p) = 9*p**3 + 7*p**2 - 14*p + 1. Let s(r) = 10*r**3 + 8*r**2 - 14*r. Let z(f) = 3*s(f) - 4*w(f). Suppose z(q) = 0. Calculate q.
-2, 1/3, 1
Factor 2*b**5 + 5*b**4 - 4*b**3 - 4*b**3 + 3*b**3 - 5*b**2 + 3*b**5.
5*b**2*(b - 1)*(b + 1)**2
Let s = -611 + 3059/5. Suppose 0 + 3/5*b**2 + 1/5*b - s*b**3 = 0. Calculate b.
-1/4, 0, 1
Factor 0 + 1/2*r - 1/2*r**2.
-r*(r - 1)/2
Let 2/13*u**2 - 2/13*u**4 - 10/13*u + 0 + 10/13*u**3 = 0. What is u?
-1, 0, 1, 5
Let m(g) = g**3 + g**2 - 3*g - 2. Let n be m(-2). Let f be 3 - (n + 9/3). Suppose 0*b - 2/7*b**5 + 0*b**4 + f*b**2 + 2/7*b**3 + 0 = 0. What is b?
-1, 0, 1
Let u(m) be the third derivative of 9*m**6/160 - 3*m**5/10 + 13*m**4/32 - m**3/4 - 4*m**2. Factor u(v).
3*(v - 2)*(3*v - 1)**2/4
Let d(z) = 2*z**2 - 10*z + 3. Let k(g) = -g**2 + 5*g - 2. Let n(u) = -4*d(u) - 9*k(u). Factor n(o).
(o - 3)*(o - 2)
Let t be 2/(-4) - 0 - (-7)/14. Let z(x) be the second derivative of -x + 0*x**2 + 1/6*x**4 + t + 0*x**3. Factor z(p).
2*p**2
Let u(r) be the second derivative of r**5/4 - 45*r**4/4 + 405*r**3/2 - 3645*r**2/2 + 23*r. Factor u(j).
5*(j - 9)**3
Let d(m) = -m**4 - 19*m**3 + 5*m + 1. Let f(b) = b**4 + 10*b**3 - 2*b - 1. Let z(q) = -4*d(q) - 7*f(q). Factor z(k).
-3*(k - 1)**3*(k + 1)
Let z(s) be the first derivative of s**6/120 - s**5/12 + s**4/3 - 2*s**3/3 - 3*s**2/2 - 3. Let n(l) be the second derivative of z(l). Factor n(d).
(d - 2)**2*(d - 1)
Let a be -1 - ((-10)/3 + 1). Let d = 953 + -951. Factor -a*r + 4/3 + 1/3*r**4 - r**d + 2/3*r**3.
(r - 1)**2*(r + 2)**2/3
Let n(w) be the first derivative of 3*w**4/4 + 5*w**3/3 + 3*w**2/2 + w + 6. Let f(t) = 10*t**3 + 16*t**2 + 9*t + 3. Let y(u) = 2*f(u) - 7*n(u). Factor y(k).
-(k + 1)**3
Let -6*p**2 - p + 5*p**2 - 3 + 3 = 0. Calculate p.
-1, 0
Let a(l) = l**3 - 2*l**2 - 2*l. Let z(w) = 2*w**3 - w**2 - 3*w. Let q(n) = 3*a(n) - 2*z(n). Factor q(b).
-b**2*(b + 4)
Suppose 0*u = -u. Let h be (-2)/2*(-2 + u). Solve -l**3 + l**h + 0 - 1/3*l + 1/3*l**4 = 0.
0, 1
Suppose 3*g + 2*g = 0. Suppose g*z**3 - 3*z**3 - 6*z**2 + 3*z**2 = 0. Calculate z.
-1, 0
Let u be 6/5 + 4/5. Let a = u + 0. Let 3/2*i**3 + 2*i**a - 9/4*i**4 - 3/2*i + 1/4 = 0. What is i?
-1, 1/3, 1
Let v(s) = -s**2 + 18*s + 42. Let i be v(20). Let d = -1/22 + 47/66. Factor 4/3 + d*w - 2/3*w**i.
-2*(w - 2)*(w + 1)/3
Suppose 23*k - 30 = 8*k. Let q(b) be the third derivative of 0*b**4 + 1/10*b**3 + 0 + 0*b + 2*b**k - 1/100*b**5. Factor q(h).
-3*(h - 1)*(h + 1)/5
Let v(u) = u**2 + 4*u 