o**4 + 0 + 0*o - 2/7*o**3 - z*o**2 = 0 for o.
-1, 0, 1
Suppose 0 = 4*x - 2*x - 6. Suppose z - 24 = -x*m - 2*z, -2*m - 5 = -5*z. Factor -i**5 + 2*i**4 + 3*i**m - 4*i**4.
2*i**4*(i - 1)
Let w = 34/3 - 29/3. Suppose -4/3*o**2 - 1/3 - w*o = 0. What is o?
-1, -1/4
Let l(h) = -4*h - 14. Let g be l(-5). Determine j, given that -23 + g*j - 11*j - 4 - 13*j - 3*j**2 = 0.
-3
Let c = -4 - -7. Suppose 15 = c*t, 5*t - 10 - 15 = 5*p. Find g, given that -2*g**5 + p*g**3 + 2*g**2 - 2*g**3 + 6*g**4 - 4*g**3 = 0.
0, 1
Let n(t) be the third derivative of t**8/21 - 22*t**7/105 - t**6/10 + 16*t**5/15 + 2*t**4/3 + 4*t**2. Solve n(q) = 0 for q.
-1, -1/4, 0, 2
Let a = -1874/5 + 376. Factor -6/5*h**2 + 2/5*h + a*h**3 - 2/5*h**4 + 0.
-2*h*(h - 1)**3/5
Let w be ((-3)/(-63))/((-2)/(-5766)). Let i = w - 137. Factor -2/7*j**3 + 2/7*j + i*j**4 - 2/7*j**2 + 0.
2*j*(j - 1)**2*(j + 1)/7
Suppose -5 - 5 = -j. Let s be -1 + (-18)/j + 3. Factor 0*w - 1/5*w**2 + 0 - s*w**3.
-w**2*(w + 1)/5
Let w(u) be the second derivative of u**6/90 + u**5/60 - u**4/18 + 23*u + 1. Factor w(x).
x**2*(x - 1)*(x + 2)/3
Let k(y) = -2*y - 4. Let j be k(-9). Suppose 30 - j = 4*x. Find u, given that 0*u + 1/3*u**3 + 0 - 1/3*u**x + 2/3*u**2 = 0.
-1, 0, 2
Let d(z) be the second derivative of z**5/4 - 5*z**4/3 + 25*z**3/6 - 5*z**2 - 11*z. Solve d(m) = 0.
1, 2
Suppose 3*g - 3 = -3*x + g, -g = -3*x + 12. Factor -2*o - o**3 - 4*o**2 + 0*o**2 - o**x.
-2*o*(o + 1)**2
Let c(j) be the second derivative of 8*j**7/21 - 26*j**6/15 - 4*j**5 + 14*j**4 + 48*j**3 + 54*j**2 + 14*j. Determine b so that c(b) = 0.
-1, -3/4, 3
Let n(s) be the third derivative of -s**7/4620 + s**6/990 + s**3/6 - s**2. Let y(p) be the first derivative of n(p). Suppose y(o) = 0. What is o?
0, 2
Factor -6/5*g + 2/5*g**2 + 0.
2*g*(g - 3)/5
Let v(u) = 27*u**3 - 42*u**2 + 15*u. Let a(f) = -28*f**3 + 43*f**2 - 16*f + 1. Let z be 2/(-13) - 178/26. Let k(n) = z*v(n) - 6*a(n). Factor k(j).
-3*(j - 1)**2*(7*j + 2)
Suppose 35*a - 12 = 29*a. Determine y, given that -2/11*y**a - 2/11 - 4/11*y = 0.
-1
Factor -2/9*r**2 + 2/9*r**3 + 2/9*r**4 - 2/9*r**5 + 0 + 0*r.
-2*r**2*(r - 1)**2*(r + 1)/9
Factor -1/2*v**3 - 1/2 + 1/2*v**2 + 1/2*v.
-(v - 1)**2*(v + 1)/2
Suppose 8/5*f**3 + 0 - 6/5*f**4 - 2/5*f**2 + 0*f = 0. Calculate f.
0, 1/3, 1
Let c be (-12)/(-4) - (1 + 0). Factor 3*q**5 + c*q**5 - q**5 + 2*q**3 - 6*q**5.
-2*q**3*(q - 1)*(q + 1)
Let c(n) be the third derivative of -n**7/252 + n**6/60 - n**5/60 - n**4/8 + 3*n**2. Let g(b) be the second derivative of c(b). Factor g(a).
-2*(a - 1)*(5*a - 1)
Determine a so that -3*a**4 + a**4 - 7*a**2 - 2*a**4 - 16*a**3 - 5*a**2 = 0.
-3, -1, 0
Let l(s) be the first derivative of 3*s**2 + 3/4*s**4 - 4/3*s**3 - 2*s + 1. Let m(v) = 7*v**3 - 8*v**2 + 13*v - 5. Let k(w) = -10*l(w) + 4*m(w). Factor k(g).
-2*g*(g - 2)**2
Let b be (0 - (-9)/21)/1. Factor b*i**3 + 0*i + 0*i**2 + 0.
3*i**3/7
Let y(m) be the third derivative of 5*m**8/336 + m**7/21 - m**6/8 - 2*m**5/3 - 5*m**4/6 - 5*m**2. Factor y(s).
5*s*(s - 2)*(s + 1)**2*(s + 2)
Let x(f) = -f**3 + 4*f**2 - 2*f + 4. Let i be x(4). Let q be 2/2 + i/(-2). Determine t so that 3 - 4 - t**3 + t**2 + 4*t - q*t = 0.
-1, 1
Suppose 0 = -4*x + 3*z - z + 2, 0 = -x + z - 1. Find h such that 0*h - 6/5*h**x + 8/5 - 2/5*h**3 = 0.
-2, 1
Let x(a) = 11*a**2 - 7*a. Let m(d) = 2*d**2 - 2*d - 1. Let c(o) = o + 1. Let r(z) = -3*c(z) - 3*m(z). Let n(f) = -5*r(f) - 3*x(f). Let n(t) = 0. What is t?
0, 2
Let z(m) be the second derivative of 3*m**5/10 + m**4/4 + 4*m. Let s(p) = -p**3 - p**2 - p. Let j(a) = -3*s(a) - z(a). Find y such that j(y) = 0.
-1, 0, 1
Let x(j) = 15*j**2 + 36*j + 8. Let r(u) = -8*u**2 - 18*u - 4. Let m(b) = 13*r(b) + 6*x(b). Solve m(d) = 0.
-1, -2/7
Let j = -146 - -301/2. Let f = j + -3. Factor 0*s + 0*s**2 - 3/4*s**5 + 0 - f*s**3 - 9/4*s**4.
-3*s**3*(s + 1)*(s + 2)/4
Let b(z) be the second derivative of -z**6/165 - 3*z**5/110 - z**4/22 - z**3/33 + 10*z. Factor b(l).
-2*l*(l + 1)**3/11
Factor 16*f + 19*f**3 + 4 + 2*f**4 + 21*f**2 + f**5 + 5*f**4 + 4*f**2.
(f + 1)**3*(f + 2)**2
Let n(a) be the first derivative of -3*a**5/25 - 9*a**4/20 + a**3/5 + 9*a**2/10 + 15. Factor n(p).
-3*p*(p - 1)*(p + 1)*(p + 3)/5
What is c in 1/2*c**3 + 9/2*c + 0 - 3*c**2 = 0?
0, 3
Let i be (-3)/(-3 - (-4 + 2)). Let p(d) be the first derivative of 1/6*d**i + 0*d**2 - 1 + 0*d + 1/8*d**4. Solve p(k) = 0.
-1, 0
Let a(x) = -3*x**2 - 18*x - 62. Let z(h) = 13*h**2 + 73*h + 247. Let v(j) = -9*a(j) - 2*z(j). Factor v(d).
(d + 8)**2
Let s(v) be the third derivative of v**9/60480 - v**8/26880 - v**7/20160 + v**5/15 - 4*v**2. Let x(q) be the third derivative of s(q). Solve x(n) = 0.
-1/4, 0, 1
Let l be (8/(-5))/((-990)/225). Solve l + 4/11*r**2 + 6/11*r**3 - 14/11*r = 0.
-2, 1/3, 1
Let y(o) be the first derivative of -2*o**5/85 + 4*o**3/51 - 2*o/17 - 1. Factor y(k).
-2*(k - 1)**2*(k + 1)**2/17
Let p = -35/6 - -257/42. Factor 0 - p*v**2 - 4/7*v.
-2*v*(v + 2)/7
Let w(y) be the first derivative of -y**4/8 + y**2/4 + 16. Solve w(d) = 0.
-1, 0, 1
Let f = -23/9 + 169/45. Factor 4/5 - 2*b + f*b**2 - 2/5*b**4 + 2/5*b**3.
-2*(b - 1)**3*(b + 2)/5
Let d be (-3)/7 - (3 + -11 + 5). Factor d*m**3 - 10/7*m**4 + 0 + 2/7*m**5 - 2*m**2 + 4/7*m.
2*m*(m - 2)*(m - 1)**3/7
Let t(m) be the first derivative of -m**6/6 - m**5/5 + m**4/2 + 2*m**3/3 - m**2/2 - m + 5. Factor t(w).
-(w - 1)**2*(w + 1)**3
Let x(h) be the first derivative of h**4/8 - 8*h**3/3 + 16*h**2 - 21. Determine p so that x(p) = 0.
0, 8
Let z = 53 + -211/4. Let v be (10/6 - 1)*6. Find r, given that 3/4*r**2 - r + r**3 + z*r**v - 1 = 0.
-2, -1, 1
Let x(b) be the second derivative of b**4/4 - 2*b. Let c = 16 - 17. Let n(h) = h. Let a(q) = c*x(q) + 3*n(q). Find t such that a(t) = 0.
0, 1
Let -50/9 + 20/9*i - 2/9*i**2 = 0. What is i?
5
Let t(p) be the first derivative of p**7/315 + p**6/90 - p**4/18 - p**3/9 + p**2/2 + 1. Let k(r) be the second derivative of t(r). Factor k(j).
2*(j - 1)*(j + 1)**3/3
Factor 68 - 20 - 8*c**2 + 11*c**2 + 24*c.
3*(c + 4)**2
Let j(q) be the third derivative of -q**4/24 - q**3/6 - 6*q**2. Let o be j(-1). Factor -1/4 - 1/2*i + 1/2*i**3 + 1/4*i**4 + o*i**2.
(i - 1)*(i + 1)**3/4
Let q be (-4)/22 + (-1674)/(-132). Factor 35*c**2 - q*c**3 + 4 - 22*c.
-(c - 2)*(5*c - 2)**2/2
Let x = 2065 - 6110/3. Let z = x + -28. Factor -2/3*f**2 - 2/3*f**3 - z*f**5 - 1/3 + f**4 + f.
-(f - 1)**4*(f + 1)/3
Let x = 2 - -1. Solve r**3 + 4*r - r**4 - r**4 - 5*r**x + 2 = 0.
-1, 1
Let z = 5 + -3. Let p = 35/39 - 3/13. Factor -x - 1/3*x**z - p.
-(x + 1)*(x + 2)/3
Let g(l) = -l**4 - l**3 - l - 1. Let j(w) = -9*w**4 - 12*w**3 - 12*w - 12. Let t(m) = -12*g(m) + j(m). Solve t(s) = 0.
0
Let a(g) = -g**3 + g**2 + 1. Let z(h) = h**3 - h**2 + 2*h - 2. Let y be (8/(-24))/((-1)/3). Let u = y + -2. Let o(v) = u*z(v) - 2*a(v). Factor o(l).
l*(l - 2)*(l + 1)
Let p(q) be the second derivative of q**4/4 - 3*q**3/2 - 9*q. Determine r, given that p(r) = 0.
0, 3
Let p = 16511/1442 - -25/206. Determine o so that -3/7 + 27/7*o**2 + 9/7*o - p*o**3 = 0.
-1/3, 1/3
Let i(y) be the first derivative of y**5/80 + y**4/24 + 2*y + 4. Let c(x) be the first derivative of i(x). Factor c(l).
l**2*(l + 2)/4
Let h(n) = 4*n**2 + 5*n. Suppose 30 = 2*b - 3*p, -2*b + 3*b + 3*p - 24 = 0. Let t(d) = d**2 + d. Let z(w) = b*t(w) - 4*h(w). Solve z(a) = 0 for a.
0, 1
Let s(t) be the first derivative of 0*t - 5/2*t**4 - 8/5*t**5 + 0*t**2 - 3 - 4/3*t**3 - 1/3*t**6. Factor s(z).
-2*z**2*(z + 1)**2*(z + 2)
Let l(u) be the second derivative of 0*u**3 - 1/105*u**6 + 0*u**2 + 4*u - 1/35*u**5 + 0 - 1/42*u**4. Solve l(q) = 0 for q.
-1, 0
Let y(h) be the first derivative of h**6/9 - 2*h**5/15 - h**4/3 + 4*h**3/9 + h**2/3 - 2*h/3 - 5. Factor y(o).
2*(o - 1)**3*(o + 1)**2/3
Suppose 2*z = 5*g - 7, 4*g + 5*z = 5*g + 17. Factor 3/5*l**5 - 36/5*l + 24/5 + 33/5*l**g - 18/5*l**4 - 6/5*l**2.
3*(l - 2)**3*(l - 1)*(l + 1)/5
Let a be (-3 + 958/320)/((-1)/2). Let o(w) be the second derivative of 0 + 1/12*w**3 + w + 1/48*w**4 + 0*w**2 - a*w**5. Factor o(p).
-p*(p - 2)*(p + 1)/4
Let i(g) be the third derivative of g**8/1848 + 4*g**7/1155 - g**6/60 + g**5/55 + 50*g**2. Suppose i(j) = 0. Calculate j.
-6, 0, 1
Let y = 23 - 20. Let -2/9*d**y + 0*d + 0 + 0*d**2 = 0. What is d?
0
Let n(o) = 19*o**4 + 96*o**3 - 35*o**2 - 4. Let z(v) = -20*v**4 - 95*v**3 + 35*v*