ppose -5*q = -16*l + 19*l - 12, 5*l = 3*q + 20. Factor 0*a**2 + 2/11*a**4 + 0 + 0*a**3 + q*a.
2*a**4/11
Let m(w) be the third derivative of w**5/150 + w**4/60 + w**2. Solve m(y) = 0 for y.
-1, 0
Let g = -19/6 - -41/12. Factor 0 + x**4 - 9/4*x**3 - g*x + 3/2*x**2.
x*(x - 1)**2*(4*x - 1)/4
Let z(c) = 7 + 2 + c**2 - 3 + 6*c + 0. Let s(k) = k + 1. Let w(r) = 6*s(r) - z(r). Suppose w(f) = 0. What is f?
0
Let y(i) = i**3 + 5*i**2 + 2*i + 7. Let u be y(-5). Let g = u + 5. Find w such that 10/7*w - 4/7 - 8/7*w**g + 2/7*w**3 = 0.
1, 2
Let t be (-166)/(-14) + (-1)/(-7). Let f be (-1 - -1)*(-6)/t. Factor 0 - 1/2*w**4 + f*w + 1/2*w**2 + 0*w**3.
-w**2*(w - 1)*(w + 1)/2
Let g(f) = 3*f**2 + 5*f - 8. Let q(y) = 39*y**2 + 66*y - 105. Let j(s) = -27*g(s) + 2*q(s). Suppose j(p) = 0. What is p?
-2, 1
Let r(z) = z**2 - z - 10. Let t be r(4). Let p(s) be the first derivative of -1 - 1/5*s**5 + 0*s**t + 1/2*s**4 + 0*s - 1/3*s**3. Factor p(f).
-f**2*(f - 1)**2
Factor 2*o**4 - 1/3*o**5 + 8/3*o**2 - 4*o**3 + 0*o + 0.
-o**2*(o - 2)**3/3
Let q = 61/15 + -17/5. Factor -1/3*r - q + 1/3*r**2.
(r - 2)*(r + 1)/3
Let i(x) be the third derivative of x**5/90 - x**4/12 + 2*x**3/9 + 13*x**2. Factor i(z).
2*(z - 2)*(z - 1)/3
Let d be ((-342)/(-40))/(1/(-12)). Let a = d + 103. Factor a*v - 2/5*v**2 + 2/5*v**4 + 0 - 2/5*v**3.
2*v*(v - 1)**2*(v + 1)/5
Suppose 0*q - 6 = 3*f - 5*q, -3*f + q = -6. Let u(m) be the first derivative of -2 - 1/10*m**2 + 0*m + 0*m**f + 1/20*m**4. Factor u(d).
d*(d - 1)*(d + 1)/5
Let y = -44 + 63. Determine s so that 32*s**2 - 20*s + 18 + y*s - 47*s = 0.
3/4
Suppose 23 = -5*v - 12. Let c be 3/(-2)*v/42. Factor c + 0*u - 1/4*u**2.
-(u - 1)*(u + 1)/4
Let u(v) be the first derivative of -2*v**5/45 - v**4/9 + 2*v**2/9 + 2*v/9 - 3. Factor u(s).
-2*(s - 1)*(s + 1)**3/9
Let a = 20 - 17. Determine p, given that 2 - 4*p**2 - 8*p - a - 3 = 0.
-1
Let h(x) be the first derivative of -5*x**3/3 + 45*x**2/2 + 13. Find o, given that h(o) = 0.
0, 9
Suppose -y = -2*v + 4, -2*y + 3*y - 11 = -3*v. Factor -3*i**y - 2 + 6*i**2 - i + 2*i.
(i + 1)*(3*i - 2)
Factor 0 + 2/7*d - 2/7*d**2.
-2*d*(d - 1)/7
Suppose 5*i - 3 = 5*b + 32, b + 11 = 2*i. Let c(l) be the second derivative of -2/15*l**3 - 1/5*l**2 + 0 + 2*l - 1/30*l**i. Factor c(q).
-2*(q + 1)**2/5
Factor 16*m**4 + 12*m**3 + 20*m**5 - 32*m**5 + 4*m**3.
-4*m**3*(m - 2)*(3*m + 2)
Let z(f) be the first derivative of 2/5*f**5 + 0*f + 0*f**3 + 0*f**2 + 1/3*f**6 - 1 + 0*f**4. Factor z(o).
2*o**4*(o + 1)
Let u(n) be the first derivative of 1 - 1/2*n**4 + 2*n**3 + 2*n - 3*n**2. Solve u(v) = 0 for v.
1
Let k(d) = -3*d**3 - 7*d**2 + 3*d + 7. Let y(r) = r**3 + 3*r**2 - r - 3. Let c(a) = -3*k(a) - 7*y(a). Let c(v) = 0. Calculate v.
-1, 0, 1
Determine m so that 0 + 0*m - 1/2*m**3 + 2*m**2 = 0.
0, 4
Suppose -3 + 33 = 5*u. Let j(n) = -n**2 + 6*n + 3. Let k be j(u). Factor -k*r**2 + 5*r - 3*r + 0*r - 5*r**3.
-r*(r + 1)*(5*r - 2)
Let n = -1043 + 3085/3. Let f = -14 - n. Let 2*g + f*g**2 + 4/3 = 0. Calculate g.
-2, -1
Suppose 0 = -3*p + p + 6. Suppose 4 = 5*f - 1. Solve 4*y + 2*y**2 - y**2 - 3 + f - p*y = 0.
-2, 1
Let k be 2/(-3) + 16/6. Let c(h) be the second derivative of -2*h + 1/21*h**3 + 1/7*h**k - 1/42*h**4 + 0 - 1/70*h**5. Solve c(i) = 0 for i.
-1, 1
Let a = -73 - -76. Determine g so that 4/5 + g**2 - 8/5*g - 1/5*g**a = 0.
1, 2
Factor -23*p**2 - 8*p - 40*p**3 + 0*p**2 - 12*p**4 - 17*p**2 + 4*p**2.
-4*p*(p + 1)*(p + 2)*(3*p + 1)
Suppose 5 = 2*s + 1. Let i = 0 + s. Suppose -1 + 4*n**2 - 2*n**i - n**4 + 0*n**2 = 0. What is n?
-1, 1
Let w be -6*-4*4/24. Let x(g) be the second derivative of -3*g + 0 + w*g**2 - 1/2*g**4 - 4/3*g**3. Factor x(d).
-2*(d + 2)*(3*d - 2)
Let b(f) be the second derivative of -f**6/60 + f**4/24 + 12*f. Factor b(a).
-a**2*(a - 1)*(a + 1)/2
Let b(m) be the first derivative of 0*m**2 - 4 - 1/16*m**4 + 1/24*m**6 + 0*m - 1/10*m**5 + 1/6*m**3. Factor b(j).
j**2*(j - 2)*(j - 1)*(j + 1)/4
Let n = 167/5 + -33. Let d(r) be the first derivative of 0*r + 0*r**2 - 2 - 2/3*r**3 - n*r**5 + r**4. Factor d(k).
-2*k**2*(k - 1)**2
Let o = 423 + -1267/3. Factor m + m**4 - 2/3*m**3 - o*m**2 - 1/3*m**5 - 1/3.
-(m - 1)**4*(m + 1)/3
Determine z, given that -1 + 2 - 27 + 16*z + 112*z**4 - 212*z**3 - 20*z**5 + 136*z**2 - 6 = 0.
-2/5, 1, 2
Let c(k) be the third derivative of -k**6/180 - k**5/45 + k**4/36 + 2*k**3/9 + k**2. Suppose c(y) = 0. What is y?
-2, -1, 1
Suppose -b + 7 - 2 = 0. Suppose -b*j - 3*v + 2*v + 20 = 0, 5*v = -5*j + 40. Suppose j*m + m**4 - 4*m + 2*m**2 - 3*m**4 + m**5 = 0. Calculate m.
-1, 0, 1
Let r = 71/245 - 1/245. Let c(l) be the second derivative of -3*l - 1/42*l**4 - 1/7*l**3 - r*l**2 + 0. Factor c(k).
-2*(k + 1)*(k + 2)/7
Let a(b) be the second derivative of -b**7/1400 - b**6/300 - b**5/200 + 4*b**3/3 - b. Let k(p) be the second derivative of a(p). Let k(s) = 0. Calculate s.
-1, 0
Let c(b) be the third derivative of b**6/1140 + b**5/285 - b**4/228 - 2*b**3/57 - 8*b**2. Factor c(n).
2*(n - 1)*(n + 1)*(n + 2)/19
Let t = -92/7 - -96/7. Determine v, given that t*v**2 - 2/7 + 2/7*v = 0.
-1, 1/2
Let w be (5 + -1)*-1 + 6. Solve 1/7*n**3 + 0*n + 0 + 0*n**w = 0 for n.
0
Let y(m) = -m**2 + 17*m + 15. Let t(x) = -35*x - 30. Let i(h) = 3*t(h) + 5*y(h). Let i(s) = 0. Calculate s.
-3, -1
Let t = -54 + 649/12. Let j(r) be the third derivative of t*r**4 + 3*r**2 + 2/3*r**3 + 0*r + 0 - 1/60*r**6 - 1/15*r**5. What is m in j(m) = 0?
-2, -1, 1
Factor -3 - 60*i - 4 + 2 - 7 - 75*i**2.
-3*(5*i + 2)**2
Let j(q) be the first derivative of q**4 - 4*q**3/3 - 3. What is g in j(g) = 0?
0, 1
Let w(i) be the third derivative of -1/4*i**4 - 1/20*i**5 + 0 + 0*i**3 - i**2 + 0*i. Factor w(k).
-3*k*(k + 2)
Let s(b) be the third derivative of 1/420*b**6 + 1/84*b**4 + 3*b**2 + 0*b**3 + 1/105*b**5 + 0 + 0*b. Factor s(x).
2*x*(x + 1)**2/7
Let x(h) = -3*h**3 - 15*h**2 + 18*h. Let r(o) = -o**3 - 6*o**2 + 7*o. Let b(t) = 12*r(t) - 5*x(t). Determine k so that b(k) = 0.
-2, 0, 1
Let c(d) be the second derivative of -2*d**7/63 - 4*d**6/45 + 2*d**4/9 + 2*d**3/9 + d + 32. Let c(u) = 0. What is u?
-1, 0, 1
Suppose 5*g + 15 = 10*g. Solve g + 2*c + 1/3*c**2 = 0.
-3
Let u(f) = f**3 - 4*f**2. Let v be u(4). Factor 27*s**3 - 21*s**4 + 9*s + v + 36*s**2 + 0 - 21*s.
-3*s*(s - 2)*(s + 1)*(7*s - 2)
Let u(a) be the first derivative of -a**4/8 + a**2/4 + 11. Determine l, given that u(l) = 0.
-1, 0, 1
Factor -2*c**2 - 14*c + 7*c + 5*c.
-2*c*(c + 1)
Let j(t) = 6*t**2 + 2*t + 1. Let v be j(-1). Let k be 4/(-18) + 3/(1782/672). Factor 64/11*u**2 + 4/11 - k*u**v - 76/11*u**3 - 26/11*u + 4*u**4.
-2*(u - 1)**4*(5*u - 2)/11
Let n(w) be the second derivative of -w**5/60 - w**4/36 + w**3/18 + w**2/6 - w - 6. Factor n(m).
-(m - 1)*(m + 1)**2/3
Let y be ((-2)/(-5))/((-2)/60). Let m(h) = -h**2 - 10*h + 26. Let q be m(y). Factor 1/2*r**4 - 1/2*r + 3/2*r**q - 3/2*r**3 + 0.
r*(r - 1)**3/2
Suppose -8 - 47*c**2 - 2*c**3 - 8*c**3 - 32*c + 13*c**2 = 0. What is c?
-2, -1, -2/5
Let u(j) be the first derivative of j**5/90 - j**4/54 - 2*j**3/27 - 7*j + 6. Let p(b) be the first derivative of u(b). Solve p(l) = 0.
-1, 0, 2
Let o(i) be the second derivative of -i**5/60 - i**4/36 + i**3/9 + 24*i. Determine b, given that o(b) = 0.
-2, 0, 1
Factor -16*i**2 + 5*i**2 + i**2 + 12*i + 7*i**2.
-3*i*(i - 4)
Let c be 0 - -2 - (0 + -2). Let t(l) = -l**2 + 4*l + 3. Let x be t(c). Factor -5 + 2 + x - f**2 + 1.
-(f - 1)*(f + 1)
Let v(z) be the third derivative of -z**7/42 + z**6/24 + z**5/6 + 9*z**2. Factor v(p).
-5*p**2*(p - 2)*(p + 1)
Let q = -5 + 11. Suppose -q*z + 3*z = 0, -3*m = -5*z. Factor 1/2*j**4 - 1/2*j**3 + m + 0*j - 1/2*j**2 + 1/2*j**5.
j**2*(j - 1)*(j + 1)**2/2
Let s = 7/12 + 1/12. Suppose -s*l**2 - 2/3*l**3 + 2/3 + 2/3*l = 0. Calculate l.
-1, 1
Suppose -7*z - 13*z + 120 = 0. Find c, given that 15/2*c - z*c**2 + 3/2*c**3 - 3 = 0.
1, 2
Suppose -2*g + 7 = 3. Suppose -g*f + f + 4 = 0. Factor -2/5*j**f + 0*j + 2/5*j**3 - 2/5*j**5 + 2/5*j**2 + 0.
-2*j**2*(j - 1)*(j + 1)**2/5
Determine t, given that 7/3*t**3 + 2*t + 0 - 23/3*t**2 = 0.
0, 2/7, 3
Let a(g) = -18*g - 2. Let y be a(-1). Let k be 0/(-2) - (-16 + y). Solve -2/9*p + k - 2/3*p**2 = 0 for p.
-1/3, 0
Let v be (-66)/(-36) + 0 - 3/2. Let o(x) be the second derivative of -v*x**4 + 2*x**2 + x**3 + x + 0. Factor o(y).
-2*(y - 2)*(2*y + 1)
Let x(t) be the first d