a**4 + 0*a + 3. Let x(r) be the second derivative of u(r). Factor x(f).
(f - 1)**2/4
Let u(i) = 2*i**2 + 6*i. Let z(w) = -w**2 - 1. Let b(c) = u(c) + 3*z(c). Let m be b(4). Find d such that 3*d**2 + 4 - 2*d - 8*d + 0*d + m*d**2 - 2*d**3 = 0.
1, 2
Let q(t) = -t**3 - 6*t**2 + 5. Let n be q(-6). Suppose 4*o + 7 = 2*z - o, 4*o = -n*z + 1. Factor -1 - i**3 - 3*i**2 - z + 1 - 3*i.
-(i + 1)**3
Let c(s) = s**3 + 9*s**2 - s. Let q be c(-9). Let j be 1*2 - (-8 + q). Factor 6*l - 10*l**2 + j + 1 - 1 + 3.
-2*(l - 1)*(5*l + 2)
Let u(w) be the first derivative of w**3/3 + 3*w**2/2 + 7. Let u(x) = 0. What is x?
-3, 0
Suppose -8*k = -3*k - 10. Find m such that 6*m**k + 2*m**3 + 4 - 5 + 6*m + 3 = 0.
-1
Suppose -2*v - 15 = -23. Let d(p) be the second derivative of 0 + 0*p**v - 1/6*p**3 + 3*p + 1/20*p**5 + 0*p**2. Factor d(o).
o*(o - 1)*(o + 1)
Suppose 3 = 5*m - 7. Solve -5*k**2 - 1 + m*k + 2*k**2 - 4*k + 2*k**2 = 0.
-1
What is p in -55/3*p**2 - 2/3 + 23*p**4 + 19/3*p + 29/3*p**3 - 12*p**5 = 0?
-1, 1/4, 1/3, 2
Let b(h) be the second derivative of -5/16*h**5 + 4*h + 1/2*h**2 + 15/16*h**4 - h**3 + 0. Find q, given that b(q) = 0.
2/5, 1
Let b(w) be the third derivative of -w**6/120 - 17*w**5/300 - w**4/15 + 2*w**3/5 + 10*w**2. Factor b(h).
-(h + 2)**2*(5*h - 3)/5
Let g(f) be the second derivative of f**5/30 - 2*f**4/9 + 4*f**3/9 - 5*f. Let g(q) = 0. Calculate q.
0, 2
Let v(p) = -2*p - 12. Let i be v(-10). Let c be i/(-2) - 0 - -6. Suppose 4/3*j**2 + 0 + 0*j + c*j**3 + 14/3*j**5 - 8*j**4 = 0. What is j?
-2/7, 0, 1
Let m(g) be the third derivative of 0 - 1/60*g**4 + 0*g**3 - 1/50*g**5 - 2*g**2 + 0*g. Factor m(n).
-2*n*(3*n + 1)/5
Let m be (1/8)/(8/20). Let n(v) be the first derivative of 1/4*v**3 + m*v**4 + 0*v - 1/4*v**2 + 4. Factor n(w).
w*(w + 1)*(5*w - 2)/4
Let n(g) be the second derivative of g**4/24 - g. Determine f so that n(f) = 0.
0
Let g = 736/1915 + 6/383. Determine a, given that 4/5*a + g*a**2 + 0 = 0.
-2, 0
Let g(v) be the third derivative of -v**8/7 + 2*v**7/21 + v**6/20 - v**5/30 - 10*v**2. Determine y, given that g(y) = 0.
-1/3, 0, 1/4, 1/2
Suppose -3*r + 1 = 5*k - 10, -k - 3*r - 5 = 0. Let d(y) be the first derivative of 1/4*y**k + 1/3*y**3 + 0*y - 2 + 0*y**2. Factor d(b).
b**2*(b + 1)
Let q(d) = 3*d - 9. Let c be q(8). Suppose 4*k + k = c. Find y, given that -y**3 + y**3 - y**2 - y**k = 0.
-1, 0
Let q be 8/2 - (-7 + (-234)/(-24)). Let b(h) be the first derivative of 1 + q*h**4 + 0*h**2 + 0*h + 4/5*h**5 + 1/3*h**3. Factor b(a).
a**2*(a + 1)*(4*a + 1)
Let a(i) = -i**3 - i**2 - i - 1. Let l(r) = -4*r**3 - 8*r**2 - 8*r - 4. Let z(c) = 6*a(c) - l(c). Factor z(s).
-2*(s - 1)**2*(s + 1)
Let t(y) be the second derivative of -y**6/120 + y**4/24 - y**2/2 - 6*y. Let k(x) be the first derivative of t(x). Factor k(d).
-d*(d - 1)*(d + 1)
Let a(j) be the third derivative of -3*j**2 - 1/180*j**6 + 1/45*j**5 + 0*j + 0*j**3 - 1/36*j**4 + 0. Let a(v) = 0. Calculate v.
0, 1
Let b be (4/(-10))/(1302/30). Let x = b + 886/1953. Factor 0 + 2/9*a**3 + x*a**2 + 2/9*a.
2*a*(a + 1)**2/9
Let p be 1/(264/15) - 1/(-8). Determine z so that 4/11 - 2/11*z**2 + p*z = 0.
-1, 2
Let t be 15/12*(-2 + 6). Suppose 0 = 2*j + 3*k - 1 - 6, t*j + 5*k - 15 = 0. Factor -2*r - 2/3 - 3/2*r**j.
-(3*r + 2)**2/6
Find h such that -9/5*h + 3/5*h**3 - 12/5*h**2 + 6/5*h**4 + 0 = 0.
-1, 0, 3/2
Let q(g) = g**3 - 7*g**2 - 8*g + 3. Let b be q(8). Suppose 0*d + b*d = 6. Let -2*u**d + 2*u**2 + 2 - 2*u**2 = 0. Calculate u.
-1, 1
Let w = -3 - -6. Determine s so that 0 - s**4 + 3*s**5 - 3*s**3 + 0 + s**w = 0.
-2/3, 0, 1
Suppose -1/9*g**3 - 27*g + 3*g**2 + 81 = 0. What is g?
9
Let q(p) be the third derivative of 2/15*p**5 + 1/3*p**3 + 0*p - p**2 - 5/12*p**4 + 0. Suppose q(n) = 0. What is n?
1/4, 1
Solve -1 + 1 + 185*b**2 + 5*b - 190*b**2 = 0.
0, 1
Let v = 19/11 - 35/33. Factor g**2 - v*g**3 - 4/3 - 1/3*g**4 + 4/3*g.
-(g - 1)**2*(g + 2)**2/3
Let t(k) = -k**3 - 8*k**2 - 8*k - 4. Let u be t(-7). Let n(o) be the second derivative of 0 + 0*o**2 + 0*o**u + 1/6*o**4 + o. Factor n(i).
2*i**2
Factor -26*j - 2*j**4 + j**2 + 12*j**2 - 14*j**3 - 8 - 23*j**2 - 20*j**2.
-2*(j + 1)**3*(j + 4)
Let x(c) be the first derivative of 6 + 0*c - 2/27*c**3 + 0*c**2. Factor x(h).
-2*h**2/9
Let w = -1 - 0. Let i be w*(-2 - -2) - -4. Factor -24*o - 5*o**3 + i - 15*o**2 + 0*o**3 - 16 + 2*o**3.
-3*(o + 1)*(o + 2)**2
Let c(k) be the third derivative of -k**6/360 + k**5/90 + 39*k**2. Determine u so that c(u) = 0.
0, 2
Let k = 1/8 + 3/8. What is z in -k*z + 1/2*z**3 + 1/2*z**2 + 0 - 1/2*z**4 = 0?
-1, 0, 1
Let b(t) be the second derivative of t**7/1680 - t**6/720 - t**5/120 + t**3/2 - 2*t. Let z(x) be the second derivative of b(x). Factor z(d).
d*(d - 2)*(d + 1)/2
Let l(d) be the third derivative of d**8/4200 - d**7/1050 - d**3/2 + 7*d**2. Let r(a) be the first derivative of l(a). Factor r(v).
2*v**3*(v - 2)/5
Factor -1/2*g**4 + 0*g + 1/4*g**5 + 0*g**2 + 1/4*g**3 + 0.
g**3*(g - 1)**2/4
Suppose -2*c - 4*u = -5*c, 5*c = 2*u. Suppose c*j + 1/4*j**4 + 1/2*j**3 + 0 + 1/4*j**2 = 0. What is j?
-1, 0
Let v = 965/3 - 321. Factor 4/3*i**2 + 0 - 1/3*i**5 - 4/3*i + i**3 - v*i**4.
-i*(i - 1)**2*(i + 2)**2/3
Let a(m) be the first derivative of -3*m**5/5 + m**4/4 + 2*m**3/3 - 2. Factor a(f).
-f**2*(f - 1)*(3*f + 2)
Let z(n) = -6*n**2 - n + 5. Let y(o) = -o**2 + 1. Suppose q = -4*l + 35, 0 = q + l - 5*l + 5. Let j(c) = q*y(c) - 3*z(c). Factor j(m).
3*m*(m + 1)
Let z(d) = 14*d**4 - 29*d**3 + 16*d**2 + 21*d. Let h(g) = 3*g**4 - 6*g**3 + 3*g**2 + 4*g. Let v(c) = 22*h(c) - 4*z(c). Factor v(w).
2*w*(w - 1)**2*(5*w + 2)
Let d(p) be the second derivative of -p**3/3 - p**2/2 - 15*p. Let z be d(-2). Factor 2*x**2 + 0 + 1/2*x + 1/2*x**5 + z*x**3 + 2*x**4.
x*(x + 1)**4/2
Factor 5/2*o**2 - 5*o - 15/2.
5*(o - 3)*(o + 1)/2
Let t(z) be the second derivative of z**4/12 - 4*z**3/3 - 5*z**2/2 + 6*z. Let f be t(9). Let 2/7*o**2 - 2/7*o**f - 2/7*o + 2/7*o**3 + 0 = 0. What is o?
-1, 0, 1
Let w be (-2 + (-7 - -5 - -4))*1. Factor w*v + 1/2*v**4 - v**2 + 0*v**3 + 1/2.
(v - 1)**2*(v + 1)**2/2
Solve -v**3 + 6 - 21*v - 2*v**3 - 9*v**2 + 24*v + 3*v**4 = 0.
-1, 1, 2
Let j(w) = 2*w**2 + w - 1. Let g be j(1). Suppose g*o - 15 = -3*o. Factor o*u**3 + 2*u**3 - 6*u**3.
-u**3
Find q such that q**2 - q**2 + 2*q - 5*q + 3*q**3 + 1 - q**2 = 0.
-1, 1/3, 1
Let v(k) be the third derivative of -k**7/210 + k**6/40 - k**5/60 - k**4/8 + k**3/3 - 3*k**2. Find q such that v(q) = 0.
-1, 1, 2
Let k be (-3)/(-18)*(-4)/6. Let p = k + 7/9. Factor -2/3*v**4 - 2/3*v**3 + 2/3*v**2 + 0 + p*v.
-2*v*(v - 1)*(v + 1)**2/3
Suppose -q + 1 = 6, 3 = -w - q. Factor -w + 7*r**3 - 2*r**4 + 7*r**4 - r**2 - 2*r**2 - 3*r - 4*r.
(r - 1)*(r + 1)**2*(5*r + 2)
What is s in 2 + 0 - 5*s + s**2 - 2 = 0?
0, 5
Let j(b) be the second derivative of -b**3/3 - b**2/2 - 2*b. Let r be j(-3). Solve -x - 6*x - 4*x**2 + r*x = 0.
-1/2, 0
Suppose 2*m - 2*v = 6, 0 = 3*m + 5*v - 10 + 25. Factor 14/11*z**4 + 4/11*z + m - 6/11*z**5 - 6/11*z**3 - 6/11*z**2.
-2*z*(z - 1)**3*(3*z + 2)/11
Factor -w**2 + 0*w**2 + 185 - 2*w + 4*w - 186.
-(w - 1)**2
Let d be 175/(-35) - (-10 + -2 + 2). Factor -2/5*v**2 - 2/5*v**d + 0 + 2/5*v**4 + 2/5*v**3 + 0*v.
-2*v**2*(v - 1)**2*(v + 1)/5
Let q(l) be the first derivative of 20*l**3/9 + 2*l**2 - 8*l/3 - 1. Determine o so that q(o) = 0.
-1, 2/5
Let q(p) be the second derivative of -p**4/6 + 4*p**3/3 - 55*p. Let q(j) = 0. What is j?
0, 4
Let m(z) be the first derivative of -z**3/18 - z**2/12 + z/3 + 5. Factor m(l).
-(l - 1)*(l + 2)/6
Let z(u) = -u**3 + 6*u**2 - 4*u + 2. Let m be z(5). Factor -6*d + m*d - d**2 - d.
-d**2
Suppose -4*r + 0 = -m - 16, 0 = 2*r + m - 8. Factor -j**5 - j**4 + 4*j**4 + 0*j**4 - j**r.
-j**4*(j - 2)
Let c(v) = -v**5 - v**4 - v**3 + v**2. Let k(q) = 28*q**5 - 20*q**4 + 16*q**3 - 8*q**2. Let s(m) = 8*c(m) + k(m). Factor s(f).
4*f**3*(f - 1)*(5*f - 2)
Let t(k) = -k**3 - k**2 + 1. Let n(c) = 32*c**3 + 136*c**2 + 144*c + 10. Let y(z) = n(z) - 2*t(z). Find d, given that y(d) = 0.
-2, -1/17
Let l be 56/(-70) + 78/10. Let 5*n**4 + n**5 + 2*n**3 - n**3 - l*n**4 = 0. What is n?
0, 1
Let z be 2 + 2 - (1 + 1). Suppose 0 = 4*u - z - 6. Factor -q**3 - 3 + q**u + 4 - 3*q + 2*q**2.
-(q - 1)**3
Factor -20*k**3 + 4*k + 1 - 1 + 4*k**2 + 12*k**3.
-4*k*(k - 1)*(2*k + 1)
Determine i so that 5/4*i**4 + 10*i + 15/2*i**3 + 1