g - 30*n**4 + 2*n = 0. What is n?
-1, 1
Let m(d) be the first derivative of d**3/9 + d**2/6 - 2*d/3 - 4. Suppose m(b) = 0. What is b?
-2, 1
Let b(l) = -l - 4. Let z be b(-6). Let x = 228 + -1136/5. Solve -z*k - 2/5*k**3 - x - 8/5*k**2 = 0.
-2, -1
Suppose 0*v = v + 3. Let w be (4 + (-16)/3)*v. Factor 1/2*p**w + p + 0*p**2 - p**3 - 1/2.
(p - 1)**3*(p + 1)/2
Let z(r) be the second derivative of -r**4/60 - r**3/15 + 3*r**2/10 - 7*r. Factor z(b).
-(b - 1)*(b + 3)/5
Let n = -12 + -1. Let j = -12 - n. Solve -h + j + 1/4*h**2 = 0.
2
What is w in -3/11 + 1/11*w**2 + 2/11*w = 0?
-3, 1
Suppose p - 13 = -5*k, 31 = -4*p + p - k. Let g be p/(-8)*8/6. Find n such that -2*n**g + 1 - 1 - 2*n = 0.
-1, 0
Let x(l) be the second derivative of -3/14*l**4 + 12/7*l**2 + 0 - 33/28*l**5 - 9*l + 2*l**3 + 5/14*l**6. Determine p, given that x(p) = 0.
-2/5, 1, 2
Let k = 3 - 3. Let c(w) be the third derivative of k + 0*w + 7/108*w**4 + 2*w**2 + 2/27*w**3 + 1/54*w**5. Factor c(t).
2*(t + 1)*(5*t + 2)/9
Let j(v) be the second derivative of -v**7/42 + v**6/30 + v**5/10 - v**4/6 - v**3/6 + v**2/2 - 6*v. Factor j(z).
-(z - 1)**3*(z + 1)**2
Factor 2*v + 2 + 3*v**2 + 2 - 2*v**2 + 2*v.
(v + 2)**2
Let s(h) be the first derivative of h**6/8 - 3*h**5/20 + 1. Suppose s(i) = 0. Calculate i.
0, 1
Let w(i) be the second derivative of 1/7*i**5 - 2/7*i**2 - 2/105*i**6 - 5/147*i**7 - 5/21*i**3 + 2/21*i**4 + 0 + 4*i. Find h, given that w(h) = 0.
-1, -2/5, 1
Find g such that 1/2*g**2 + 0*g + 0 - 3/2*g**3 = 0.
0, 1/3
Suppose 6*v**3 - 4*v**4 + 12*v**2 - 10 + v**5 - 2*v**4 - 4*v**5 + 4 - 3*v = 0. What is v?
-2, -1, 1
Factor 0*v + 1/7*v**3 + 0 + 2/7*v**4 + 1/7*v**5 + 0*v**2.
v**3*(v + 1)**2/7
Let j be 2/(-6) - ((-21)/9 + 2). Let n(c) be the first derivative of -3/10*c**5 - 2 + j*c**3 - 3/2*c**2 + 3/2*c + 3/4*c**4. Factor n(f).
-3*(f - 1)**3*(f + 1)/2
Let h(k) be the second derivative of 6*k**7/7 + 4*k**6/5 - 11*k**5/5 - 4*k**4/3 + 8*k**3/3 + k. Solve h(q) = 0.
-1, 0, 2/3
Let k be ((-20)/10)/((4 - 2)/(-2)). Factor 0 + 0*b + 1/2*b**k.
b**2/2
Suppose 4 = -4*y + 108. Let c = y + -51/2. Factor 0*k + c*k**3 + 0*k**2 + 0.
k**3/2
Let h = 41 - 203/5. Let w be (-3)/4 - (8 + 414/(-40)). Factor 8/5*t + w + h*t**2.
2*(t + 2)**2/5
Let x(s) be the second derivative of s**7/1260 + s**6/120 + s**5/30 - 3*s**4/4 - 7*s. Let c(q) be the third derivative of x(q). Find h, given that c(h) = 0.
-2, -1
Let k = 817/3236 - 2/809. Factor k*d**2 + 1/4*d + 0.
d*(d + 1)/4
Let s = -6 - -9. Suppose -2*n + 13 = s*n + b, 3*b + 3 = -n. Factor -2*l - l**2 + l**2 - 6*l**n + 6*l**2 + 2*l**4.
2*l*(l - 1)**3
Let r be ((-2)/(-6))/((-5)/(-3)). Determine u so that -1/5*u**4 - 1/5*u**3 + 0 + 1/5*u + r*u**2 = 0.
-1, 0, 1
Suppose 6*x - 2*x + 0*x**2 - 2*x**2 = 0. What is x?
0, 2
Let c(v) = -5*v + 2*v**2 - 3*v - 3 - 5*v**2 + 2*v. Let q(l) = l**2 + 2*l + 1. Let f(g) = 6*c(g) + 17*q(g). Factor f(r).
-(r + 1)**2
Let y(g) be the first derivative of -g**8/735 + g**7/294 - g**6/630 + 5*g**3/3 - 8. Let c(w) be the third derivative of y(w). What is p in c(p) = 0?
0, 1/4, 1
Suppose -8 = z - 9. Let a be 21 + (z - (0 + 3)). Solve -a*n**2 + n + 19*n**2 - n**3 = 0.
-1, 0, 1
Let p be -5 + 8 - (1 + 0). Let c(s) be the second derivative of -p*s + 0 + 0*s**3 + 1/70*s**5 + 0*s**2 + 0*s**4. Factor c(o).
2*o**3/7
Let c(z) = z**3 - z + 3. Let y be c(0). Let t(i) be the third derivative of 0 - 2*i**2 - 1/24*i**4 + 0*i + 1/12*i**y + 1/120*i**5. Factor t(r).
(r - 1)**2/2
Let c(z) = -z**2 - 8*z + 1. Let q be c(-8). Suppose -3 - q = -2*p. Factor y**5 + 0 - 5/3*y**4 + 2/3*y**3 + 0*y + 0*y**p.
y**3*(y - 1)*(3*y - 2)/3
Let i(n) be the third derivative of n**7/105 - n**6/30 - n**5/30 + n**4/6 + 4*n**2. Solve i(j) = 0.
-1, 0, 1, 2
Let h(o) = 6 + 1 + 3 + 18*o - 17*o. Let s be h(-8). Find d, given that -2/3*d + 0 - 1/3*d**s = 0.
-2, 0
Let j(q) = q**3 + 5*q**2 - 2*q + 3. Suppose 2*z - 12 = -z. Let l(i) = -i**3 - 6*i**2 + 3*i - 4. Let y(p) = z*j(p) + 3*l(p). Factor y(t).
t*(t + 1)**2
Let d be (-68)/8*4/10. Let b = 19/5 + d. Let -b + 4/5*z**2 + 2/5*z = 0. What is z?
-1, 1/2
Factor -2/15*b**2 + 2/5 + 4/15*b.
-2*(b - 3)*(b + 1)/15
Let u(m) = -m**3 - 13*m**2 + 9*m + 5. Let a(b) = -2*b**3 - 32*b**2 + 22*b + 12. Let w(q) = -5*a(q) + 12*u(q). Determine y, given that w(y) = 0.
0, 1
Let s = 443/44 - 108/11. Let z(b) be the third derivative of 3*b**2 + 0 + s*b**4 + 0*b**3 + 1/20*b**5 + 0*b. Determine x so that z(x) = 0.
-2, 0
Let u be (-40)/(-3) - 4/(-6). Find t, given that -8*t**3 + 3*t - 2*t**2 + 10*t - 5*t + u*t**2 = 0.
-1/2, 0, 2
Let i(s) = -4*s - 6. Let p be i(-6). Let l be 16/9 - (-4)/p. Determine q, given that 4/7*q**3 - 2/7*q - 2/7 + 4/7*q**l - 2/7*q**5 - 2/7*q**4 = 0.
-1, 1
Let x = -1/751 + 12023/5257. Factor -2/7*o**3 - 24/7*o - 12/7*o**2 - x.
-2*(o + 2)**3/7
Suppose 0*o + 2 = -w + 2*o, 3*o - 3 = 2*w. Suppose -2/7*d**2 + 0 + w*d = 0. What is d?
0
Suppose -3*i - 10 = -8*i. Suppose -3*d - 4*n + 5 = -27, -3*d + i*n + 2 = 0. Factor -d*o**2 + o**2 + 4*o**2 - 1.
(o - 1)*(o + 1)
Let s(i) be the first derivative of -i**4/30 + i**2/5 - 5*i + 3. Let f(z) be the first derivative of s(z). Solve f(j) = 0 for j.
-1, 1
Suppose 0 = -2*k + 4*k - 6. Suppose -1 = -4*w + k*a + 2, -1 = a. Let -2/9*f**3 + 0 + w*f - 2/9*f**2 = 0. What is f?
-1, 0
Factor -4*o**3 + 2*o**4 - 2*o**3 - o**2 + 2*o**2 - 9*o**2.
2*o**2*(o - 4)*(o + 1)
Let q = 6 - 11. Let k = 0 - q. Find y such that 2/11*y**2 - 50/11*y**4 + 0 - 2/11*y + 24/11*y**k + 26/11*y**3 = 0.
-1/4, 0, 1/3, 1
Let q = -32 - 18. Let o = q - -152/3. Suppose 1/3*t**4 + 0 - t**3 + 0*t + o*t**2 = 0. Calculate t.
0, 1, 2
Let i = -3 - -8. Suppose -8 = -i*v + 3*v. Factor -d**2 + d**4 - d - 4 + v + d**3.
d*(d - 1)*(d + 1)**2
Let c(z) be the first derivative of -z**4/22 + 2*z**3/33 + z**2/11 - 2*z/11 + 20. Factor c(j).
-2*(j - 1)**2*(j + 1)/11
Let q(s) be the second derivative of -3*s**5/20 + s**4/2 + 2*s**3 - 12*s**2 + 7*s - 2. Factor q(o).
-3*(o - 2)**2*(o + 2)
Let d(l) = -l**2 + 8*l - 16. Let j be d(4). Factor 1/4*g**2 + j*g - 1/2*g**3 + 0 + 1/4*g**4.
g**2*(g - 1)**2/4
Let b(n) = n**2 - 24*n + 97. Let m be b(19). Factor -2/5*c**m + 0 + 4/5*c.
-2*c*(c - 2)/5
Let f(y) be the second derivative of 0*y**2 + 0 + 0*y**3 - 1/12*y**4 + 4*y. Solve f(z) = 0.
0
Suppose 3*x + x = -12. Let f(t) = -6*t**4 - 2*t**3 + 3*t**2 + 3*t + 3. Let y(c) = -c**2 - c - 1. Let o(a) = x*y(a) - f(a). Factor o(i).
2*i**3*(3*i + 1)
Let r(f) be the first derivative of -f**6/105 + f - 1. Let p(q) be the first derivative of r(q). Solve p(d) = 0 for d.
0
Let l be (-16)/(-10) + (-8)/(-20). Suppose 23 = 4*t - 3*k, 3*t + 6*k - k + 19 = 0. Factor 4/5 + t*g**l - 14/5*g.
2*(g - 1)*(5*g - 2)/5
Let r(p) be the third derivative of -p**7/210 - 7*p**6/120 - p**5/10 + 22*p**2. Factor r(s).
-s**2*(s + 1)*(s + 6)
Let i(l) = 7*l**3 + 4*l**2 - l - 1. Let q(h) = -20*h**3 - 12*h**2 + 4*h + 4. Let d(p) = -8*i(p) - 3*q(p). What is w in d(w) = 0?
-1, 1
Suppose -2*b = 2*n - 5*n - 27, b - 3*n = 21. Let u(t) = t**2 - 6*t + 2. Let a be u(b). Factor 4*p + 2*p + a + 3*p - 5*p + 2*p**2.
2*(p + 1)**2
Factor -24/7*c - 48/7 - 3/7*c**2.
-3*(c + 4)**2/7
Let a(t) = t + 1. Let x be a(-4). Let i = x - -6. Determine z so that 0*z**2 - 2*z**2 - 2*z**2 + z**i + 3*z**2 - 2*z = 0.
-1, 0, 2
Let l be 3 - ((-2)/1 - -13). Let u = l - -10. Factor 4*m - 5*m + u*m**2 + 3*m + 0*m**2.
2*m*(m + 1)
Let k be 2/6 - (-371)/(-420). Let l = -1/20 - k. Factor -2 - l*v**2 + 2*v.
-(v - 2)**2/2
Let z(f) be the first derivative of f**7/2940 - f**6/315 + f**5/105 - f**3 + 3. Let h(a) be the third derivative of z(a). Let h(s) = 0. Calculate s.
0, 2
Let w(p) be the third derivative of 1/200*p**6 + 1/300*p**5 + 0*p**4 + 1/1680*p**8 + 0*p**3 + 0 + 1/350*p**7 - 3*p**2 + 0*p. What is s in w(s) = 0?
-1, 0
Suppose -2*y + 5*m + 23 = 0, -4*y - 2*m = -11 + 1. Let -2*x**2 - 1/5 - x**y + x + 2*x**3 + 1/5*x**5 = 0. What is x?
1
Suppose 2*k - 12 = -2*k. Let y = -18 - -73/4. Factor y*t**2 + 0 - 1/2*t**k + 1/4*t**4 + 0*t.
t**2*(t - 1)**2/4
Factor g**2 - 12*g + 20 + 18*g - 3*g**2.
-2*(g - 5)*(g + 2)
Let t(n) = -n**4 - n. Let r(x) = -6*x**4 + 3*x**3 - 3*x. Let c(k) = r(k) - 3*t(k). Suppose c(z) = 0. Calculate z.
0, 1
Let i(n) = n**2 - 5*n + 4. Suppose -y - 5*k + 8 = -1, 0 = 2*k - 2. Let x be i(y). Factor 2/7*d**3 + x*d**2 - 2/7*d + 0.
2*d*(d - 1)*(d + 1)/7
Solve 2/7 + 0*g - 2