 + 2*u**2.
u*(u - 2)**2*(2*u + 1)
Let k(g) be the second derivative of -g**6/45 + g**4/18 + 3*g. Suppose k(u) = 0. Calculate u.
-1, 0, 1
Suppose 0 = 5*z + 8*z. Let h(r) be the first derivative of -1/6*r**4 - 2/9*r**3 + z*r + 0*r**2 - 2. Determine s so that h(s) = 0.
-1, 0
Suppose 0 = 4*q + 4 - 24, -3*j = -q - 1. Let g(u) be the second derivative of -3*u + 1/20*u**4 + 0 + 0*u**j + 0*u**3. Let g(n) = 0. Calculate n.
0
Let l be 3*(2 - 3/1). Let h = l - -9. Factor 8*o**3 - 5*o**4 + 5*o**2 - h*o**2 - o - o.
-o*(o - 1)**2*(5*o + 2)
Factor v**3 - 56*v**2 + 68*v - 20 - 4 + 12*v**3 - v**3.
4*(v - 3)*(v - 1)*(3*v - 2)
Let h = 18 - 10/3. Let i = h + -14. Factor -4/3*y**2 + 0 + i*y**3 + 2/3*y.
2*y*(y - 1)**2/3
Let a(j) be the first derivative of -2*j**5/25 + 7*j**4/10 - 7. Factor a(t).
-2*t**3*(t - 7)/5
Let h(l) = -3*l - 1. Let v(d) = -10*d - 3. Let i(n) = 21*h(n) - 6*v(n). Let q be i(-2). Factor 2/7*u**4 + 0*u + 0*u**2 + 0 + 0*u**q.
2*u**4/7
Let z(u) be the third derivative of u**5/15 - u**4/6 - 3*u**2. Let z(m) = 0. Calculate m.
0, 1
Let u(n) be the third derivative of n**8/784 - 3*n**7/245 + 3*n**6/70 - 2*n**5/35 + 4*n**2. Suppose u(g) = 0. What is g?
0, 2
Let k be (-5)/(-15)*(-6)/(-4). Let h be (-3)/(-12) - 3/(-4). Solve -1/2*d**3 + k*d + 6*d**2 - h - 5*d**4 = 0.
-1, -1/2, 2/5, 1
Let r = -1465/9 - -163. Let v(b) = -b - 11. Let m be v(-11). Factor r*s**3 + 0*s + 0*s**2 + m.
2*s**3/9
Suppose 0 = 3*a + 6, 0 = 2*d - 3*d + 4*a + 10. Find x such that x + 0*x - x**d + x - 1 = 0.
1
Let g be 2/(-8)*752/70. Let p = -16/7 - g. Find n, given that -p + 0*n + 2/5*n**2 = 0.
-1, 1
Let z(h) be the third derivative of 0*h**4 + 2*h**2 + 0*h**3 + 0 - 3/200*h**6 + 0*h - 1/350*h**7 - 1/50*h**5. Suppose z(p) = 0. Calculate p.
-2, -1, 0
Let n(j) be the third derivative of j**7/840 - j**6/60 + j**5/10 + 7*j**4/24 + 5*j**2. Let r(q) be the second derivative of n(q). Factor r(s).
3*(s - 2)**2
Let f = -20 - -81/4. Determine u, given that -1/2*u**2 + 0 - f*u + 1/2*u**4 + 0*u**3 + 1/4*u**5 = 0.
-1, 0, 1
Factor -122 + 2*l + l**4 + 57 - l**2 - 3*l**3 + 65 + l**5.
l*(l - 1)**2*(l + 1)*(l + 2)
Factor 27/2*v**2 + 6*v**4 + 0 - 18*v**3 - 3*v.
3*v*(v - 2)*(2*v - 1)**2/2
Let f be ((-28)/12 - -2)/(10/(-6)). Factor 2/5 - 1/5*r**2 - f*r.
-(r - 1)*(r + 2)/5
Factor -9/2*a**2 + 1/2*a**3 + 0 + 4*a.
a*(a - 8)*(a - 1)/2
Let c be (-8)/(-2)*(-1)/(-2). Let n be (1 - 0) + 1 - c. Factor -4 + 5*b - 4*b**2 + n + 3.
-(b - 1)*(4*b - 1)
Suppose -7*v - 14*v**2 + 2 + 5*v + 12*v + 2 = 0. Calculate v.
-2/7, 1
Let u(f) = -2*f + 11. Let k be u(6). Let z be (-10)/4 - 3/k. Suppose z*o**2 + o + 1/2 = 0. What is o?
-1
Suppose -31*g + 60 = -19*g. Determine w so that 1/2 - w**3 - 1/2*w**g + 3/2*w + w**2 - 3/2*w**4 = 0.
-1, 1
Let k(g) be the first derivative of -g**6/3 + 14*g**5/5 - 19*g**4/2 + 50*g**3/3 - 16*g**2 + 8*g - 3. Factor k(c).
-2*(c - 2)**2*(c - 1)**3
Let s(w) be the second derivative of 0 + 89/60*w**5 - 4/9*w**3 + 3*w - 25/14*w**7 + 13/6*w**6 - 55/36*w**4 + 2/3*w**2. Solve s(t) = 0.
-2/5, 1/3, 1
Let f(m) be the third derivative of m**6/10 - m**5/15 - 2*m**4 + 8*m**3/3 + m**2 + 2*m. Find y, given that f(y) = 0.
-2, 1/3, 2
Let d(r) be the second derivative of -r**4/2 - 2*r**3/3 - 5*r**2/2 - r. Let u(m) = -5*m**2 - 3*m - 4. Let f(q) = 4*d(q) - 5*u(q). Factor f(p).
p*(p - 1)
Let s(y) = -3*y**3 + 2*y**2 + 2*y + 2. Let i(x) = -10*x**3 + 7*x**2 + 5*x + 7. Let r(b) = 6*i(b) - 21*s(b). Factor r(w).
3*w*(w - 2)*(w + 2)
Find h, given that -2/5*h**2 + 0*h + 2/5 = 0.
-1, 1
What is b in -4*b + 12*b**3 - 16*b**2 + 0*b - 2 + 10 = 0?
-2/3, 1
Suppose 0 = k + k - 4. Suppose -5*q = 4*g - 2, 0 = -k*q + 5*g - 5 + 19. Factor -2*f**3 + 0*f**q - 3*f + 5*f + 0*f**2.
-2*f*(f - 1)*(f + 1)
Let x(n) be the first derivative of -2*n**5/45 - n**4/3 - 26*n**3/27 - 4*n**2/3 - 8*n/9 - 9. Find f, given that x(f) = 0.
-2, -1
Let z(m) = m**2 - m. Let k(g) = 2*g**2 + 14*g. Let j(u) = k(u) - 4*z(u). Suppose j(r) = 0. What is r?
0, 9
Let l = 613 + -5513/9. Solve 0*h + 0 - l*h**2 - 2/9*h**3 = 0.
-2, 0
Let k(u) = 7*u**2 - 11*u. Let m(r) = -r**2 + r. Let o = 7 - 5. Let i(f) = o*k(f) + 10*m(f). Factor i(c).
4*c*(c - 3)
Let j(d) be the second derivative of d**4/90 - 3*d**2/5 + 30*d - 2. Solve j(c) = 0.
-3, 3
Let l(b) be the second derivative of 3/2*b**3 - 21/20*b**5 - 3/4*b**4 - 3/10*b**6 + 3*b**2 + 7*b + 0. Solve l(d) = 0.
-1, 2/3
Let v(f) be the first derivative of -5*f**4/14 - 8*f**3/7 - 4*f**2/7 - 4. Factor v(q).
-2*q*(q + 2)*(5*q + 2)/7
Let q(m) = -m**3 + 7*m**2 - 3*m + 5. Let p be q(7). Let i be 26/(-24) + p/(-12). Factor 1/4*w**2 - 1/4*w**3 + i*w - 1/4.
-(w - 1)**2*(w + 1)/4
Let t(z) be the second derivative of -z**5/90 - z**4/54 + 5*z**3/27 - z**2/3 + 29*z. Factor t(k).
-2*(k - 1)**2*(k + 3)/9
Suppose 0 = a - 2 - 22. Let u be (-8)/6*a/(-112). What is o in u*o**2 + 0*o - 2/7 = 0?
-1, 1
Let z(h) = h**2 + h - 6. Let s(q) = 2*q - 15. Let b be s(6). Let m be z(b). Factor -2/3*d + m - d**3 + 5/3*d**2.
-d*(d - 1)*(3*d - 2)/3
Let f(m) be the first derivative of m**3/9 - m**2/2 + 29. Factor f(i).
i*(i - 3)/3
Let p(j) be the third derivative of j**5/12 - 5*j**4/8 + 11*j**2. What is y in p(y) = 0?
0, 3
Let r(x) be the first derivative of -x**4/16 + x**3/6 + 7*x**2/8 + x + 10. Find l, given that r(l) = 0.
-1, 4
Let v(t) be the second derivative of -t**7/1260 + t**6/270 + 7*t**3/6 + 7*t. Let s(l) be the second derivative of v(l). Find f such that s(f) = 0.
0, 2
Determine w, given that 0*w**2 - 3*w**2 + 2*w**2 + 3*w**2 - w**3 = 0.
0, 2
Suppose -2*j = -6*i + i + 2, 2*i - 24 = -5*j. Suppose 8/5*z + 0 + 486/5*z**3 - 108/5*z**2 - 729/5*z**j = 0. Calculate z.
0, 2/9
Let -3*f**2 + 6 + 17*f**3 + 3*f - 3 - 20*f**3 = 0. Calculate f.
-1, 1
Factor -14/9*n - 10/9*n**3 + 2*n**2 + 2/9*n**4 + 4/9.
2*(n - 2)*(n - 1)**3/9
Let u(s) = 6*s**4 + 2*s**3 - 20*s**2 + 20*s. Let v(h) = h**3 - h**2 + h. Let q(a) = u(a) - 12*v(a). Factor q(z).
2*z*(z - 2)*(z + 1)*(3*z - 2)
Suppose 5 = -3*r - 4*j - j, -2*r + 3 = -3*j. Suppose -3/2*a - 1/2*a**3 + 5/2*a**2 + r - 1/2*a**4 = 0. What is a?
-3, 0, 1
Suppose -3*b - 24 = -2*c - 5*b, -4*c = b - 57. Let q be (1 - 1)/(c - 16). Factor 1/4*g**3 + 0*g + q - 1/4*g**2.
g**2*(g - 1)/4
Factor 4/3*x - 1/3*x**3 + 4/3 - 1/3*x**2.
-(x - 2)*(x + 1)*(x + 2)/3
Determine d so that 8/3 + 10/3*d**2 - 2/3*d**3 - 16/3*d = 0.
1, 2
Factor -6/11*k**2 + 6/11*k**3 + 0 + 2/11*k - 2/11*k**4.
-2*k*(k - 1)**3/11
Let r(z) be the third derivative of 1/30*z**5 + 1/120*z**6 - 5*z**2 + 0*z + 1/24*z**4 + 0*z**3 + 0. What is l in r(l) = 0?
-1, 0
Let c(f) be the third derivative of -f**6/20 - f**5/20 + f**4/8 - 12*f**2. Factor c(u).
-3*u*(u + 1)*(2*u - 1)
Let n(g) = 4*g - 9. Let w be n(6). Suppose 0 = 3*f - 0*f + 5*j - 14, 4*f + 3*j = w. Find l, given that 6*l**3 - l - 6*l**3 + 2*l**2 + 2*l**3 - 3*l**f = 0.
0, 1
Let d(y) be the second derivative of 2*y**7/21 - 2*y**6/15 - 2*y**5/5 + 2*y**4/3 + 2*y**3/3 - 2*y**2 + 12*y. Determine w, given that d(w) = 0.
-1, 1
Suppose 7/4*n**3 - 1/4*n**4 - 1/4*n**2 + 1/2 - 5/4*n - 1/2*n**5 = 0. Calculate n.
-2, -1, 1/2, 1
Let c be 24/6 + 1257/(-315) + 0. Let x(q) be the third derivative of -1/3*q**4 - 1/3*q**3 - 2*q**2 - c*q**7 - 1/5*q**5 + 0 + 0*q - 1/15*q**6. Solve x(n) = 0.
-1
Suppose -2*d + b = -4, -3*b + 15 = 4*d - d. Suppose -5*w + 31 = 3*j, -d*w = 4*j - 10 - 13. Suppose -2/3*t**j + 2/3*t + 0 = 0. Calculate t.
0, 1
Suppose -3*t = -j - 10 + 24, -2*j - 5*t = -28. Factor 8*c**2 + j*c**4 - 48*c**3 + 7*c**4 + 49*c**4.
2*c**2*(5*c - 2)*(7*c - 2)
Let g(b) be the first derivative of -b**7/63 - b**6/90 + b**5/20 + b**4/36 - b**3/18 + 3*b - 1. Let r(k) be the first derivative of g(k). What is x in r(x) = 0?
-1, 0, 1/2, 1
Let u(t) = t**2 + 14*t - 70. Let s be u(-18). Suppose 2*a**2 + 3*a**3 + 1/2*a + 1/2*a**5 + 0 + s*a**4 = 0. What is a?
-1, 0
Let x = -1/256 + 259/768. Let d = 19/75 - -2/25. Factor -x*l**2 - 1/3*l + d*l**4 + 1/3*l**3 + 0.
l*(l - 1)*(l + 1)**2/3
Let p(m) be the first derivative of -1/5*m**5 + 0*m**2 + 0*m + 8 - 1/3*m**3 - 1/2*m**4. Factor p(c).
-c**2*(c + 1)**2
Let m(l) be the first derivative of -11*l**3/15 - 12*l**2/5 - 4*l/5 - 34. Factor m(p).
-(p + 2)*(11*p + 2)/5
Suppose 3*t + 3 = 15. Find f, given that 1 + 1/3*f**4 + t*f**2 - 2*f**3 - 10/3*f = 0.
1, 3
Suppose 3*u - 3*g - 15 + 3 = 0, 3*u + 2*g = 22. Let l = u + -4. Factor 0 + 2/3*a**