n + 3 + 15/2*n**4 - 9/2*n**s - 21/2*n**2 = 0. Calculate n.
-1, -2/5, 1
Let o(b) be the third derivative of b**6/540 + b**5/45 + 2*b**4/27 + b**2 + 11. Factor o(w).
2*w*(w + 2)*(w + 4)/9
Suppose -40*l**2 - 3*l + 4*l + 37*l**2 + 3*l**3 - l**4 = 0. What is l?
0, 1
Let p(d) be the third derivative of 5*d**8/336 - d**7/42 - d**6/12 + d**2. Solve p(g) = 0.
-1, 0, 2
Let l(w) be the second derivative of -w**5/10 - 17*w. Factor l(c).
-2*c**3
Let q be -2 - -2 - (-3 - -1). Factor -a - a**3 + 0*a - q + a + 3*a.
-(a - 1)**2*(a + 2)
Let o(a) be the second derivative of 0*a**2 - 1/5*a**5 + 1/6*a**4 + 0 - 1/15*a**6 + 4*a + 2/3*a**3. Factor o(s).
-2*s*(s - 1)*(s + 1)*(s + 2)
Suppose 5*p = -2*z - 18, -z + 1 = -4*z - p. Let s be ((-3)/(-1))/(0 + z). Factor 2/5 + 12/5*v**2 + 8/5*v**s + 2/5*v**4 + 8/5*v.
2*(v + 1)**4/5
Let r(p) = 4*p**2 + 2*p + 1. Let z be r(-1). Solve 15*l**2 + z*l**3 + 12 + 6*l + 10*l + 8*l = 0 for l.
-2, -1
Suppose 0*z = z. Suppose n**3 - n**4 + z*n**4 + 2*n**2 - n**2 - n = 0. Calculate n.
-1, 0, 1
Factor 1/2*f**3 + 0*f + 3/2*f**2 - 2.
(f - 1)*(f + 2)**2/2
Let w = 13/58 - -19/174. Factor -1/6*q**2 - 1/6 - w*q.
-(q + 1)**2/6
Let r(d) = -d**3 - 8*d**2 - 8*d - 5. Let u be r(-7). Factor -2*j**3 + 2 - 2 - u - 6*j**2 - 6*j.
-2*(j + 1)**3
Let h(i) be the first derivative of -3*i**6/4 + i**5/5 + 27*i**4/8 - 4*i**3 + i**2 - 31. Let h(p) = 0. Calculate p.
-2, 0, 2/9, 1
Let m(o) = 2*o**4 - 9*o**3 - 7*o**2 + 7*o - 7. Let j = 9 - 6. Let v(f) = f**4 - 3*f**3 + 4*f - 3 - f**3 - 3*f**2 - f. Let s(z) = j*m(z) - 7*v(z). Factor s(y).
-y**3*(y - 1)
Suppose 4*s + 4*w - 16 = 0, -2*s - 3*s + 36 = -3*w. Let -3*h**5 - 15*h**2 + s*h**3 + 0 + 3*h**2 - 3*h + 6 + 6*h**4 = 0. What is h?
-1, 1, 2
Let l(j) be the first derivative of 3*j**4/16 + j**3 + 3*j**2/2 + 7. Find m such that l(m) = 0.
-2, 0
Determine f, given that -1/2 + 1/2*f**3 - 1/2*f + 1/2*f**2 = 0.
-1, 1
Let r(k) be the third derivative of 1/2*k**4 + 0*k - 3*k**2 - 1/30*k**5 + 0 - 3*k**3. Solve r(d) = 0 for d.
3
Let q be 44/7 - (-4)/(-14). Let b = q - -4. Factor 0 - 4*t**3 + b*t**3 + 13*t**2 + 4 + t**4 + 12*t.
(t + 1)**2*(t + 2)**2
Let x(w) = 2*w**2 - w - 2. Let m be x(2). Suppose 2*s**2 + s**3 - 12*s**m + s**2 - 10*s**3 + 0*s**2 = 0. Calculate s.
-1, 0, 1/4
Let z be ((-15)/6)/(3/(-6)). Let c(p) be the first derivative of -3 - 1/18*p**4 + 0*p**2 + 0*p - 2/45*p**z + 0*p**3. Determine d so that c(d) = 0.
-1, 0
Let i(a) = 5*a**2 + 2*a + 5. Let b(p) = 4*p + 1 - 4*p + p**2. Suppose -4*f - 7 = -m - 0*m, -6 = -2*m. Let t(z) = f*i(z) + 4*b(z). Let t(w) = 0. What is w?
-1
Determine t so that 8/7*t**3 + 4/7*t**4 - 8/7*t + 0*t**2 - 4/7 = 0.
-1, 1
Factor 13*b + 2 - 5*b**2 - 2*b - 23*b**2 + 17*b**3 - 2*b**3.
(b - 1)**2*(15*b + 2)
Let -20*b**2 + 5*b - 2 + 3 - 1 = 0. What is b?
0, 1/4
Let k(y) be the second derivative of -y + 0*y**2 + 3/8*y**4 + 0 + 1/20*y**6 - 9/40*y**5 - 1/4*y**3. Suppose k(f) = 0. What is f?
0, 1
Let z be ((-32)/12)/((-4)/6). Factor -1/3*k**5 - 1/3*k**z + 0 + 1/3*k**2 + 0*k + 1/3*k**3.
-k**2*(k - 1)*(k + 1)**2/3
Let o be (4/8*0)/(-2). Let s(l) be the first derivative of o*l**2 + 1/3*l**3 + 1/4*l**4 + 0*l + 2 - 1/5*l**5 - 1/6*l**6. Factor s(d).
-d**2*(d - 1)*(d + 1)**2
Let z(v) = 115*v**2 + 50*v + 10. Let u(o) = -231*o**2 - 99*o - 19. Let m(j) = -6*u(j) - 11*z(j). Suppose m(h) = 0. Calculate h.
-2/11
Factor -2/7*q**3 + 0*q**2 + 6/7*q + 4/7.
-2*(q - 2)*(q + 1)**2/7
Let k(b) be the third derivative of -b**9/16632 + b**7/4620 - b**3 - 2*b**2. Let s(x) be the first derivative of k(x). Factor s(h).
-2*h**3*(h - 1)*(h + 1)/11
Let s(o) be the third derivative of -o**9/30240 + o**7/2520 - o**5/240 - o**4/3 + 8*o**2. Let y(d) be the second derivative of s(d). Factor y(v).
-(v - 1)**2*(v + 1)**2/2
Solve 0*x - 2/13*x**3 + 0*x**2 + 0 - 2/13*x**4 = 0.
-1, 0
Let l = -11 - 3. Let a be (-5)/l*8/10. Find k such that 0*k + 0 + a*k**3 + 4/7*k**4 + 0*k**2 + 2/7*k**5 = 0.
-1, 0
Suppose -3*s = -3 - 3. Let b = 9 - 7. Solve i**2 + s*i**2 + i**5 - 5*i**b - i + 2*i**4 = 0 for i.
-1, 0, 1
Suppose -h = 5*c - 13, -5 = -8*c + 3*c - 5*h. Let b = 8/23 - 25/138. Factor -b - 1/3*f + 1/3*f**c + 1/6*f**4 + 0*f**2.
(f - 1)*(f + 1)**3/6
Let k(z) be the third derivative of 2/15*z**5 - 11/48*z**4 + 0 - z**2 + 0*z + 1/6*z**3 - 7/240*z**6. Factor k(h).
-(h - 1)**2*(7*h - 2)/2
Suppose -9*y + 285 = 267. Suppose -4/5 - 4*q**2 + 8/5*q**3 + y*q**5 - 18/5*q + 24/5*q**4 = 0. What is q?
-1, -2/5, 1
Let c be 5/20*8/18. Let b = 2/9 + c. Factor 0 + b*q**2 + 1/3*q.
q*(q + 1)/3
Let u(q) = -7*q**4 + 9*q**3 - 7*q**2 - 15*q + 5. Let v(o) = -34*o**4 + 46*o**3 - 34*o**2 - 74*o + 26. Let t(l) = -14*u(l) + 3*v(l). Factor t(s).
-4*(s - 2)*(s - 1)**2*(s + 1)
Let h(m) be the first derivative of 2*m**3/9 - 2*m/3 - 2. Factor h(g).
2*(g - 1)*(g + 1)/3
Let a(s) be the second derivative of s**6/120 - s**5/80 - s**4/48 + s**3/24 + 4*s. Factor a(d).
d*(d - 1)**2*(d + 1)/4
Let g be (4/(-40))/(3/(-2)). Let c(p) be the second derivative of -p + g*p**5 - 5/18*p**4 + 4/9*p**3 - 1/3*p**2 + 0. Factor c(o).
2*(o - 1)**2*(2*o - 1)/3
Let s be (-558)/(-7) + (-2)/(-7). Let q be 92/s - 9/12. Factor 0*g**3 + 4/5*g**2 + q*g + 0 - 4/5*g**4 - 2/5*g**5.
-2*g*(g - 1)*(g + 1)**3/5
Factor -w**2 + w**2 - 20*w + 0*w**2 - 5*w**2.
-5*w*(w + 4)
Let r be -10*3*2/12. Let v be r/(-1)*6/15. Let 2/3*o**v + 0*o + 2/9*o**3 - 8/9 = 0. Calculate o.
-2, 1
Let v(y) be the second derivative of -3*y**2 - 1/18*y**4 + 2/3*y**3 + 2*y + 0. Factor v(b).
-2*(b - 3)**2/3
Find s such that 1/4*s**3 + 1/4*s**2 + 0 + 0*s = 0.
-1, 0
Let b be 29 + 4/8*8. Let i = -31 + b. Suppose -4/3 - 2/3*p**2 + i*p = 0. Calculate p.
1, 2
Suppose 0 = 4*v - 18 + 6. Let b(z) be the first derivative of 4 - 3*z**2 - 8*z**3 - 6 + v*z**3 + 1. Factor b(p).
-3*p*(5*p + 2)
Let w be 12/9*189/147. Solve w*t**3 - 8/7*t**2 + 2/7*t + 2/7*t**5 - 8/7*t**4 + 0 = 0.
0, 1
Let z be -1*3 + (3 - (-2)/10). Factor -z + 2/5*g**2 + 1/5*g.
(g + 1)*(2*g - 1)/5
Suppose -2*q - 30 = -w, 4*w = 2*w. Let n be 30/63*(-9)/q. Factor 2/7*x + 4/7*x**2 + 0 + n*x**3.
2*x*(x + 1)**2/7
Let o be (-3)/(-4) - (-5)/(-200)*-82. Determine c so that 0*c + 0*c**2 - 18/5*c**4 - o*c**5 - 4/5*c**3 + 0 = 0.
-1, -2/7, 0
Let d(f) be the second derivative of -f**6/20 + 9*f**5/20 - f**4/8 - 6*f**3 - 12*f**2 - 9*f. Find i such that d(i) = 0.
-1, 4
Let r be (-6 + (-168)/(-35))/((-9)/15). Factor 2/7*a**r - 6/7 - 4/7*a.
2*(a - 3)*(a + 1)/7
Let j(k) be the second derivative of -9*k**7/14 + k**6/2 + 8*k**5/15 + k**4/9 - 16*k. Factor j(i).
-i**2*(i - 1)*(9*i + 2)**2/3
Let f(w) be the second derivative of -w**5/4 - 5*w**4/3 - 5*w**3/2 + 2*w - 7. Let f(r) = 0. What is r?
-3, -1, 0
Let o be (-2)/(1 + -3)*4. Factor 3*j - j + o*j - j**2 - 3 - 2*j**2.
-3*(j - 1)**2
Let s be (2/4*4)/(-1). Let t = 0 - s. Factor -5 + t*q + 1 + 2 + 4*q**2.
2*(q + 1)*(2*q - 1)
Suppose 101 - 101 = 3*p. Factor 2/11*z + 2/11*z**3 - 4/11*z**2 + p.
2*z*(z - 1)**2/11
Suppose -4/9*h**4 + 2/9*h + 0*h**3 + 0 - 2/9*h**5 + 4/9*h**2 = 0. Calculate h.
-1, 0, 1
Let t(l) = 4 - 1 - 2 + l. Let h(j) = 2*j**2 - 2*j + 14. Let y(z) = -h(z) + 6*t(z). Factor y(r).
-2*(r - 2)**2
Let q(h) = 2*h**2 + 14*h - 7. Let z be q(-8). Find l, given that -3 - 3 + z*l - 2*l**2 + 0 + 8 - 9*l**3 = 0.
-1, -2/9, 1
Let v(b) be the third derivative of b**6/24 + b**5/4 - 8*b**2. Find m such that v(m) = 0.
-3, 0
Let g(a) be the first derivative of 3*a**4/28 - 3*a**3/7 + 12*a/7 + 9. Determine x so that g(x) = 0.
-1, 2
Let b be ((-35)/(-15) - (-2)/(-6)) + -2. Let r(l) be the first derivative of -1/6*l**4 + 3 + b*l**2 - 2/9*l**3 + 0*l. Factor r(v).
-2*v**2*(v + 1)/3
Let y(i) = i - 5. Let t be y(-6). Let b = 15 + t. Suppose -58*g**4 - 6*g**3 + 0*g + 2*g + 18*g**b + 9*g**2 = 0. What is g?
-2/5, -1/4, 0, 1/2
Factor 9*h + 21 + h**2 - 10 + 2*h**2 - 23.
3*(h - 1)*(h + 4)
Let n be 20/(-6) - (16 + -20). Let -d**2 + n*d**3 + 1/3 + 0*d = 0. Calculate d.
-1/2, 1
Let d(t) be the first derivative of t**5/10 - t**4/8 - t**3/2 + t**2/4 + t - 27. Suppose d(l) = 0. What is l?
-1, 1, 2
Let h = 3 - 2. Factor 2*o + 2*o**2 + o**2 - 4*o**2 - h.
-(o - 1)**2
Suppose -7*u = -3*u + 20. Let t(j) = 3*j**2 - 3*j - 5. Let w(b) = 3*b**2 - 3*b - 6. Let c(y) = u*w(y) + 6*t(y). Solve c(d) = 0 for d.
0, 1
Suppose 0 = -3*f + 7 + 5. Factor -3 - 3*c**4 + 0*c**4 + c**f - c**4 + 6*c**2.
-3*(c - 1)**2*(c + 1)**2
Let v(f) 