h**2 + 16*h + 6. Let m(r) = -13*r**2 + 64*r + 24. Let q(n) = 22*a(n) - 6*m(n). Factor q(v).
4*(v - 3)*(3*v + 1)
Let q(p) be the second derivative of -10*p**7/21 - 34*p**6/15 - 11*p**5/5 + 13*p**4/3 + 32*p**3/3 + 8*p**2 - 18*p. Determine x so that q(x) = 0.
-2, -1, -2/5, 1
Let u be (-104)/780 + (-47)/(-15). Find t such that -9/5*t**u - 3/5*t + 0 - 3/5*t**4 - 9/5*t**2 = 0.
-1, 0
Factor -57*y**4 + 18*y + 30*y**2 + 20*y**3 + 62*y**4 + 2*y + 5.
5*(y + 1)**4
Let r be 4/(-10)*(2 - -3). Let b(g) = -3*g - 2. Let y be b(r). Factor -2*n**2 + 0*n**3 + y*n**3 - 6*n**3 + 2*n + 2*n**4.
2*n*(n - 1)**2*(n + 1)
Let s(x) = -3*x**3 - 4*x**2 + 2*x + 6. Let m(c) = 4*c**3 + 5*c**2 - c - 5. Let k(p) = -2*m(p) - 3*s(p). Factor k(g).
(g - 2)*(g + 2)**2
Let g(l) = -l**2 - 4*l + 6. Let w be g(-5). Factor -8*c - w + 1 - 18*c**4 + 6*c**3 + 16*c**2.
-2*c*(c + 1)*(3*c - 2)**2
Let u = -34/7 - -143/28. Factor -o**2 - 3/2*o**3 - o**4 + 0 - u*o - 1/4*o**5.
-o*(o + 1)**4/4
Suppose -2*k - 47 = 2*v + k, 2*v = 5*k - 71. Let n be 0 - (48/v)/6. Factor n*u + 0 - 2/7*u**2.
-2*u*(u - 1)/7
Let m = -126 + 131. Let i(h) be the first derivative of 2 + 1/2*h**2 - 1/4*h**4 + 0*h**3 + 1/2*h - 1/10*h**m. Factor i(y).
-(y - 1)*(y + 1)**3/2
Let f(d) be the third derivative of -d**5/12 - 15*d**4/8 - 20*d**3/3 + 3*d**2. Suppose f(x) = 0. What is x?
-8, -1
Let s be (-3)/(2*6/(-8)). Suppose -5*f = -17 + 7. Factor -s*b**2 + 0*b + b + 5*b**2 - 4*b**f.
-b*(b - 1)
Suppose -7*f = -3*f - 4. Let g = 1 + f. Factor -2*u**3 + 2*u - g*u**3 + 2*u**5 + 0*u**5.
2*u*(u - 1)**2*(u + 1)**2
Let o = 265/3 + -88. Suppose -o*r + 2/3 - 1/3*r**2 = 0. What is r?
-2, 1
Suppose -3*m + 0*m = -12. Let j(g) be the second derivative of -1/105*g**6 + 1/42*g**m + 1/70*g**5 - 1/21*g**3 - g + 0*g**2 + 0. Factor j(n).
-2*n*(n - 1)**2*(n + 1)/7
Suppose k = 3 - 1. Suppose 6*r**3 + r**2 + r**k + r**3 = 0. What is r?
-2/7, 0
Let y(b) be the third derivative of b**5/60 + 2*b**2. Suppose y(m) = 0. Calculate m.
0
Let o be (-2)/(-3) + 0 - (15 - 15). Factor 0 + o*h + 2/3*h**2.
2*h*(h + 1)/3
Factor 2*a**4 + 4*a**4 - 2*a**4.
4*a**4
Let g = 15 + -13. Factor -7*q - 5*q - q**g + 16*q - 2*q.
-q*(q - 2)
Let u(y) = 3*y. Let s be u(2). Let k = s - 3. Determine t so that 6*t**3 - 4*t**k + 4*t**5 - 6*t**5 = 0.
-1, 0, 1
Let i(c) = -3*c + 3 + c**2 - 1 + 7*c. Let m be i(-4). Factor 3*d**2 + 2*d + 5*d**3 + d**m - 3*d**3.
2*d*(d + 1)**2
Suppose 0 = 43*c - 41*c. Let u = 3 - c. Suppose 1/3*p**4 - 1/3*p**5 + 0 - 1/3*p**2 + 1/3*p**u + 0*p = 0. Calculate p.
-1, 0, 1
Factor 0*n - 2*n**2 + 11 - 5 - 4*n.
-2*(n - 1)*(n + 3)
Suppose -5*a - 39 = -r - 11, -44 = -4*r + 3*a. Suppose -b = 4 - r. What is o in -3*o**b - o**2 - 4*o**3 + 0*o**3 + o**3 - o**5 = 0?
-1, 0
Let t(l) be the second derivative of l**5/4 - 5*l**3/2 + 5*l**2 + 12*l. Factor t(m).
5*(m - 1)**2*(m + 2)
Let d(l) be the second derivative of l**8/5880 - l**7/490 + l**6/105 - 2*l**5/105 - l**3/3 - 5*l. Let f(t) be the second derivative of d(t). Factor f(w).
2*w*(w - 2)**3/7
Let r(u) be the third derivative of -7/120*u**6 - 1/20*u**5 + 1/42*u**7 + 7/24*u**4 + 0 - 2*u**2 - 1/3*u**3 + 0*u. Factor r(f).
(f - 1)**2*(f + 1)*(5*f - 2)
Let s be (-4 + 0)/(-2) - 2. Let w be (-1)/((-21)/6) + s. Find x, given that 0*x + 2/7 - w*x**2 = 0.
-1, 1
Factor 5*a**2 - 1 - a**2 - 15.
4*(a - 2)*(a + 2)
Let v(j) be the first derivative of j**4/14 - 2*j**3/3 + 15*j**2/7 - 18*j/7 - 9. Factor v(x).
2*(x - 3)**2*(x - 1)/7
Suppose 31 = -3*q - q - 3*w, 0 = -5*q + 4*w. Let v be (1 - 4)/(2/q). Determine x, given that -2*x**2 + 10*x**2 + 2*x**2 + v*x - 4 = 0.
-1, 2/5
Let j(x) be the first derivative of -4*x**5/5 + 2*x**4 + 1. Determine r, given that j(r) = 0.
0, 2
Let f be ((-8)/(-30))/(-19*20/(-950)). Factor -f*h + 2/9*h**2 + 0.
2*h*(h - 3)/9
Let b = 27 - 21. Let z(k) be the second derivative of 0 + 1/6*k**3 + 1/10*k**b - 1/20*k**5 + 0*k**2 - k - 1/4*k**4. Find o, given that z(o) = 0.
-1, 0, 1/3, 1
Let i(l) = l - 1. Let p be i(4). Suppose -8 = -v - p, -15 = -5*d + v. Solve 0*o**2 + 2/9*o**d + 2/9*o**5 + 0*o**3 + 0 + 0*o = 0.
-1, 0
Let x(y) be the third derivative of y**6/24 + y**5/12 - 5*y**4/6 - 10*y**3/3 - 7*y**2. Solve x(u) = 0.
-2, -1, 2
Suppose -4*x + 2*x = -d - 5, d + 5*x = 23. Factor 1/4*l**d + 0 + 1/4*l + 1/2*l**2.
l*(l + 1)**2/4
Let f(b) be the third derivative of 0*b - 4*b**3 - 3/2*b**5 + 7/40*b**6 + 9/2*b**4 - 4*b**2 + 0. Solve f(n) = 0.
2/7, 2
Let f(s) be the second derivative of -s**5/60 + s**4/12 - s**2 - 4*s. Let j(h) be the first derivative of f(h). What is l in j(l) = 0?
0, 2
Let n(m) = 9*m**5 - m**4 - 25*m**3 - 19*m**2 + 9*m + 6. Let x(s) = 3*s**5 - 8*s**3 - 6*s**2 + 3*s + 2. Let w(u) = 2*n(u) - 7*x(u). Let w(f) = 0. Calculate f.
-1, -2/3, 1
Let n(s) be the second derivative of -s**4/48 + s**3/6 + 5*s**2/8 - 2*s. Solve n(x) = 0 for x.
-1, 5
Suppose y - 9 = -s, -1 - 23 = -y + 2*s. What is o in 14 + 6*o + 3*o**2 - y = 0?
-2, 0
Let g = 4/25 + 6/25. Factor -g*h**3 - 4/5*h + 6/5*h**2 + 0.
-2*h*(h - 2)*(h - 1)/5
Find h such that -57 + 33 + 3*h**3 + 6*h**2 - 18*h + 6*h = 0.
-2, 2
Let s = 8 - 6. Suppose -2*w**2 + 0*w - 4*w + s + 4*w**2 = 0. Calculate w.
1
Suppose -w - 2 + 4 = 0. Factor 2*p**4 - 3*p**2 - 4*p**2 + 3*p**w - 2 + 4.
2*(p - 1)**2*(p + 1)**2
Suppose 22/5*z - 6/5*z**2 - 12/5 = 0. What is z?
2/3, 3
Let p(z) = 4*z**2 + z + 3. Let k(l) = 17*l**2 + 4*l + 13. Let d(w) = 4*w - 10. Let s be d(9). Let r(j) = s*p(j) - 6*k(j). Solve r(u) = 0 for u.
-1, 0
Let a(p) be the third derivative of 0 + 0*p**7 + 2*p**2 + 0*p**4 + 0*p + 0*p**5 + 1/60*p**6 - 1/168*p**8 + 0*p**3. Factor a(m).
-2*m**3*(m - 1)*(m + 1)
Suppose q - 30 = -q. Solve 21*f**4 - q*f**4 + 5*f**5 - 2*f**5 - 3*f - 6*f**2 = 0.
-1, 0, 1
Let a = -44 + 48. Let q(g) be the first derivative of -2 + 0*g - 1/6*g**3 + 0*g**2 + 1/8*g**a. Factor q(p).
p**2*(p - 1)/2
Let w = 2/189 - 20/189. Let i = 4/7 - w. Factor 0*v + 0 + i*v**2.
2*v**2/3
Suppose -2*r - 2 + 10 = 0. Let d(k) be the second derivative of 1/2*k**2 - 3*k + 2/3*k**r - 11/12*k**3 - 7/40*k**5 + 0. Factor d(h).
-(h - 1)**2*(7*h - 2)/2
Let q be 0/(-6) + 1/10. Let k(i) be the first derivative of 0*i + 1/5*i**2 - 4/15*i**3 + q*i**4 + 1. Factor k(s).
2*s*(s - 1)**2/5
Let q = -9/61 - -97/244. Factor -q*o - 1/4*o**2 + 1/2.
-(o - 1)*(o + 2)/4
Let q be (4/(-7))/(2/(-7)). Suppose 2 = -2*i - q*v, -2*i + v + 1 = -0*v. What is u in i - 2/5*u**5 + 0*u - 4/5*u**4 + 0*u**2 - 2/5*u**3 = 0?
-1, 0
Let t = -326 + 326. Factor 3/7*z**4 + 0*z - 18/7*z**3 + t + 27/7*z**2.
3*z**2*(z - 3)**2/7
Let o(x) be the first derivative of x**4 + 14*x**3/3 + 2*x**2 - 6*x + 9. Let o(w) = 0. Calculate w.
-3, -1, 1/2
What is b in 2*b + b + 0*b - 6*b**2 + b = 0?
0, 2/3
Let o(t) be the first derivative of 1/9*t**3 + 0*t - 3 - 1/3*t**2. Let o(g) = 0. Calculate g.
0, 2
Factor 2*q**4 - 22*q + 2*q**3 + 22*q.
2*q**3*(q + 1)
Let z be (-4)/(-16) - (-120)/32. What is h in 1/3*h + 0 - 5/3*h**z + 1/3*h**2 - h**3 - 2/3*h**5 = 0?
-1, 0, 1/2
Let f(b) be the second derivative of -b**6/30 - b**5/10 - b**4/12 - b. Let f(r) = 0. Calculate r.
-1, 0
Let s(p) = p - 7. Let b be s(7). Suppose -5*z + b + 10 = 0. Factor 2*r + 0*r + 0*r**z + r**2.
r*(r + 2)
Let i(p) be the first derivative of p**6/360 - 7*p**5/600 + p**4/60 + 2*p**3/3 - 3. Let h(v) be the third derivative of i(v). Determine a so that h(a) = 0.
2/5, 1
Factor -2*f**4 + 2*f**2 + 4*f + 2*f**4 - 2*f**3 - 6*f**3 - 6*f**4.
-2*f*(f + 1)**2*(3*f - 2)
Let g(w) be the third derivative of -3*w**2 + 0 - 1/120*w**6 + 0*w + 1/3*w**3 - 1/20*w**5 + 1/210*w**7 + 1/24*w**4. Solve g(a) = 0.
-1, 1, 2
Let d(m) be the first derivative of -m**5/35 - 3*m + 1. Let w(l) be the first derivative of d(l). Factor w(r).
-4*r**3/7
Suppose 2*o = -3*h - 119, -h + 2*o - 52 = 1. Let i = 43 + h. Solve -1/3 + 1/3*j**2 + i*j = 0.
-1, 1
Let m(z) be the first derivative of -z**6/2 - 7*z**5/5 - 3*z**4/4 + z**3 + z**2 - 4. Factor m(b).
-b*(b + 1)**3*(3*b - 2)
Let w(c) be the first derivative of 2*c**3/3 - 3*c**2 - 7. Let w(z) = 0. What is z?
0, 3
Let o(r) be the first derivative of -2*r**5/75 + 2*r**4/15 + 4*r**3/45 - 4*r**2/5 - 6*r/5 - 6. Factor o(l).
-2*(l - 3)**2*(l + 1)**2/15
Factor -4*h**2 + 2 - 86*h**3 + 86*h**3 + h**4 + h**4.
2*(h - 1)**2*(h + 1)**2
Suppose 5 = -3*g - 1. Let k be 1/((-1)/(0 + g)). Factor -1/4*a**k - 1/2*a + 0.
-a*(a + 2)/4
Let i(u) be the se