 - 14/5*u**3 + z*u**4 + 2/5*u + 4/5*u**2.
2*u*(u - 1)**2*(4*u + 1)/5
Determine b, given that 2/17*b**2 - 4/17 + 2/17*b = 0.
-2, 1
Let d(u) be the second derivative of u**5/35 - u**4/21 - 10*u**3/21 - 6*u**2/7 - 9*u. Let d(x) = 0. What is x?
-1, 3
Suppose 2 = -c + 7. Suppose 0 = 46*o - 40*o - 6. Factor 0 - 5*g**4 - 2 - 3*g**c + o + 3*g**3 + 6*g**2 + g - g**3.
-(g - 1)*(g + 1)**3*(3*g - 1)
Let u = 13 + -11. Let q(m) be the second derivative of -1/6*m**4 + 0 + 0*m**3 + 1/2*m**u + 0*m**5 + 3*m + 1/30*m**6. Suppose q(g) = 0. Calculate g.
-1, 1
Factor -29*y**2 - 64*y - 16 - 7/2*y**3.
-(y + 4)**2*(7*y + 2)/2
Let s = -75/4 - -93/4. Find n, given that s*n**2 + 1/4*n**4 + 5*n + 2 + 7/4*n**3 = 0.
-2, -1
Let f = 4 - -21. Factor 3*c + 3*c**2 + 27 + 4*c - f*c.
3*(c - 3)**2
Solve 2/13*o**4 + 0 - 6/13*o**3 + 0*o + 0*o**2 = 0 for o.
0, 3
Let i(a) = a**2 + 10*a + 4. Let h(g) = -10*g - 5. Let u(f) = -4*h(f) - 5*i(f). Find p such that u(p) = 0.
-2, 0
Let f be (-3)/(2/3 - (-145)/(-87)). Factor -4*g**2 + 14/9*g**4 - 6*g + 6 + 20/9*g**f + 2/9*g**5.
2*(g - 1)**2*(g + 3)**3/9
Let y be 7/6 + (-8)/16. Let c = 28/3 - 26/3. Factor -2/3*l**3 + 2/3*l + c*l**4 + 0 - y*l**2.
2*l*(l - 1)**2*(l + 1)/3
Let n(m) = -m**2 - 2*m + 3. Let h(v) = 3*v**2 + 9*v - 12. Let c(a) = -4*h(a) - 15*n(a). What is u in c(u) = 0?
1
Let p = 325/6 - 54. Let u(v) be the first derivative of 0*v**2 - 3/10*v**5 + 0*v + 1/2*v**4 - p*v**3 - 2. Factor u(i).
-i**2*(i - 1)*(3*i - 1)/2
Let v = 362/3 + -120. Factor -r + 5/3*r**2 - v.
(r - 1)*(5*r + 2)/3
Factor 0*k**2 + 2*k**4 + 4*k**4 - 4*k**2 - 2*k**4.
4*k**2*(k - 1)*(k + 1)
Let t(d) be the second derivative of -d**7/1260 + d**6/180 - 7*d**4/12 + 5*d. Let k(h) be the third derivative of t(h). Factor k(z).
-2*z*(z - 2)
Suppose 3*j - 6 = 0, 5*x = 3*x + j + 6. Determine p, given that 4/7*p**x + 0 + 2/7*p**5 + 0*p + 2/7*p**3 + 0*p**2 = 0.
-1, 0
Find m, given that -3/5*m**4 - 3*m**2 - 6/5*m + 0 - 12/5*m**3 = 0.
-2, -1, 0
Let h = -4/307 + -58/42673. Let o = 272/417 - h. Suppose 0 - 2/3*x**2 + 4/3*x - o*x**3 = 0. What is x?
-2, 0, 1
Let r(z) = z**2 + 7*z + 8. Let k be r(-6). Suppose 5 = 5*f - 10. Factor -k*d**f + d**3 + 2*d**4 - d**4.
d**3*(d - 1)
Let o(y) be the third derivative of -y**7/1260 + y**6/180 - y**5/60 + y**4/8 + y**2. Let s(j) be the second derivative of o(j). Factor s(h).
-2*(h - 1)**2
Let g(a) be the first derivative of -a**8/560 - 3*a**7/280 - a**6/120 + 3*a**5/40 + a**4/4 + a**3 - 4. Let v(l) be the third derivative of g(l). Solve v(k) = 0.
-2, -1, 1
Factor 10*v**2 - 45 + 99*v**4 + 20*v**3 - 51*v**4 - 53*v**4 - 60*v.
-5*(v - 3)**2*(v + 1)**2
Let j(r) = 86*r**3 + 60*r**2 - 5*r - 6. Suppose 5*m - 6 = 2*m. Let x(d) = 603*d**3 + 420*d**2 - 36*d - 42. Let t(z) = m*x(z) - 15*j(z). Factor t(q).
-3*(2*q + 1)**2*(7*q - 2)
Let w(i) = i**4 + 2*i**3 - i**2 - 2. Let v(q) = 3*q**4 + 9*q**3 - 3*q**2 - 9. Suppose -2*h = 21 - 3. Let b(u) = h*w(u) + 2*v(u). Factor b(n).
-3*n**2*(n - 1)*(n + 1)
Factor -2/5*d**3 - 8/5*d**2 - 7/5*d + 2/5*d**4 + 1/5*d**5 - 2/5.
(d - 2)*(d + 1)**4/5
Suppose 0 = -5*d + 2*d. Let i(r) be the third derivative of 0*r**3 + r**2 + 0 + 0*r**4 - 1/300*r**6 + 0*r**5 + d*r. Determine x, given that i(x) = 0.
0
Let n(r) be the first derivative of 4*r**5/5 + 7*r**4/4 - 2*r**3 - 7*r**2/2 + 2*r + 3. Determine c so that n(c) = 0.
-2, -1, 1/4, 1
Let r(z) = -z + 4*z**2 - 5*z**2 - z**2 + 3*z**2 - 1. Let a be r(3). Solve -4*p**5 + 4*p**5 - 2*p**a - 2*p + 4*p**3 = 0.
-1, 0, 1
Let b be (-1 - -2)*(0 + 0). Let i = 31/290 + 17/58. Solve 0*m + b + i*m**2 = 0.
0
Let j(o) be the third derivative of o**5/150 - o**4/30 + 14*o**2. Factor j(p).
2*p*(p - 2)/5
Let z(j) be the third derivative of -j**5/60 + j**3/6 - 13*j**2. Solve z(u) = 0 for u.
-1, 1
Suppose 2*h = -h - 3*q + 24, 26 = 3*h + 4*q. What is t in -14*t**4 + 7*t**2 + 10*t**5 - h*t**2 + 4*t**3 - t**2 = 0?
0, 2/5, 1
Suppose -3 - 3*f**4 - 20*f**3 - 118/3*f**2 - 20*f = 0. Calculate f.
-3, -1/3
Let a(p) be the second derivative of p**6/50 - 3*p**5/25 + 3*p**4/20 + 2*p**3/5 - 6*p**2/5 + p. Factor a(d).
3*(d - 2)**2*(d - 1)*(d + 1)/5
Let m be 2/(-1) - 0 - -13. Suppose -m - 3 = -7*u. Factor -1/2*s**4 + 0*s**3 + 0 + 1/2*s**u + 0*s.
-s**2*(s - 1)*(s + 1)/2
Let c(r) = -r**4 - r**3 + r**2 + 1. Let o(t) = -2*t**5 + 2*t**4 - 2*t**2 + 2. Let p(b) = -4*c(b) + 2*o(b). What is j in p(j) = 0?
-1, 0, 1, 2
Let z(w) be the second derivative of -w**7/70 - w**6/40 + w**5/20 + w**4/8 - 3*w**2/2 + w. Let y(r) be the first derivative of z(r). Factor y(p).
-3*p*(p - 1)*(p + 1)**2
Let g = 0 + 11. Let r = -8 + g. Factor -4*u**3 + r*u**3 + 3*u - 2*u.
-u*(u - 1)*(u + 1)
Let r be (-4)/(-1)*(-3)/(-30). Let f(s) = s**3 + 4*s**2 + 3*s. Let n be f(-3). Factor -2/5*b**5 + 0*b**3 - r*b**4 + n*b**2 + 0 + 0*b.
-2*b**4*(b + 1)/5
Suppose -5*w + w + 36 = 0. Find x, given that -x + x**2 - 4*x**2 - 15*x**3 - 4*x**2 - w*x**4 = 0.
-1, -1/3, 0
Let l be -2 - (0 - (0 + 2)). Let r = l + 1. Factor 1 + 4*g - 2*g**2 - 2*g - g**3 - g + r.
-(g - 1)*(g + 1)*(g + 2)
Let r be 2/1 + -2 - -3. Let t(c) = -3*c**5 - 9*c**4 + 3*c**2 - 3. Let o(f) = 3*f**5 + 10*f**4 - 2*f**2 + f + 4. Let a(z) = r*o(z) + 4*t(z). Factor a(v).
-3*v*(v - 1)*(v + 1)**3
Factor 4*v**4 - 11*v**2 - 4*v**3 + 0*v**4 + 0*v**4 - 8 + 20*v - v**2.
4*(v - 1)**3*(v + 2)
Let c = 2 + 0. Factor 3 - z**2 + 3*z**3 - z - c*z - 2*z**2.
3*(z - 1)**2*(z + 1)
Find i, given that -i**5 - 5*i**4 - 3*i**3 + 0*i**4 + 7*i**4 + 2*i**5 = 0.
-3, 0, 1
Let h(p) be the third derivative of p**6/120 - p**5/10 + 5*p**4/24 + 6*p**2. Find x such that h(x) = 0.
0, 1, 5
Let u(o) be the third derivative of 1/60*o**6 + 1/3*o**3 - 1/15*o**5 - 1/336*o**8 + 4*o**2 + 1/105*o**7 + 0 - 1/24*o**4 + 0*o. Factor u(x).
-(x - 2)*(x - 1)**2*(x + 1)**2
Suppose 7*v = 8 + 6. Find w such that -3*w**2 - 9 + 9 + 0*w**v + 3*w = 0.
0, 1
Determine h, given that 0*h + 64/5*h**2 + 4/5*h**5 + 96/5*h**3 + 0 + 36/5*h**4 = 0.
-4, -1, 0
Let h(b) = -6*b**2 - 3*b - 6. Let n(k) = k**3 - 11*k**2 - 12*k - 5. Let o be n(12). Let z(q) = -6*q**2 - 3*q - 5. Let d(w) = o*h(w) + 6*z(w). Factor d(u).
-3*u*(2*u + 1)
Let f = 236 - 236. Factor f + 0*l - 1/2*l**3 + 1/3*l**2.
-l**2*(3*l - 2)/6
Let r(t) be the first derivative of 7*t**6/33 + 6*t**5/5 + 9*t**4/11 - 16*t**3/33 + 42. Suppose r(g) = 0. What is g?
-4, -1, 0, 2/7
Let a(o) be the third derivative of -1/10*o**5 + 1/12*o**4 + 0 + 2*o**2 + 1/3*o**3 - 1/60*o**6 + 2/105*o**7 + 0*o. Solve a(p) = 0.
-1, -1/2, 1
Let r(i) = -3*i**2 + 21*i - 45. Let b(q) = -3*q**2 + 20*q - 44. Let l(w) = 3*b(w) - 4*r(w). Find a such that l(a) = 0.
4
Let s(m) = -m**2 + 8*m - 5. Let u be s(7). Factor -u*x + 0*x + 4*x**5 + 2*x.
4*x**5
Let h = -11 + 15. Find a such that 3*a**3 + 6*a - a**3 + h - 2*a**3 - 2*a**3 = 0.
-1, 2
Let g(p) be the second derivative of 1/8*p**4 + 0*p**2 + 0 - 3*p + 1/4*p**3. What is v in g(v) = 0?
-1, 0
Suppose -k + 3 = -0. Find j such that 0*j**3 + 0*j**3 + 6*j**2 + j**3 + 2 + j**k + 6*j = 0.
-1
Let i(j) be the second derivative of -35*j**4/12 + 115*j**3/6 - 15*j**2 + 9*j. Solve i(h) = 0 for h.
2/7, 3
Let c be ((-2)/(-3))/((-6)/(-4)). Let i = 17/18 - c. What is q in 0*q + 0*q**2 + i*q**3 + 0 = 0?
0
Let o(v) = v**2 + 7*v - 16. Let c be o(-9). Find p, given that 0*p**c + 0*p - 1/5*p**4 + 0*p**3 + 0 - 1/5*p**5 = 0.
-1, 0
Find v such that 4*v - 6*v**2 + 3*v**3 + 4*v - 5*v = 0.
0, 1
Let p = -160 + 1122/7. Let 0*d + 0 - p*d**2 = 0. What is d?
0
Let m(i) be the second derivative of i**7/168 - i**5/40 + i**3/24 + 10*i. Factor m(u).
u*(u - 1)**2*(u + 1)**2/4
Let v = -898/45 + 102/5. Factor -v*n - 2/3 + 2/9*n**2.
2*(n - 3)*(n + 1)/9
Suppose -12 = 2*d + 16. Let o be (d/12)/(4/(-12)). Factor -3/2*x**2 + o*x - 1.
-(x - 2)*(3*x - 1)/2
Factor 65*c + c**2 - 2 + 62 + 4*c**2.
5*(c + 1)*(c + 12)
Let v(i) be the first derivative of 5*i**4/24 - i**3/9 - 5*i**2/12 + i/3 + 1. What is x in v(x) = 0?
-1, 2/5, 1
Factor -4*i**2 + 3*i - 5*i + 2*i - 4*i.
-4*i*(i + 1)
What is x in -2 + 10*x + 2 - 64*x**2 + 59*x**2 - 5*x**3 = 0?
-2, 0, 1
Let j = 3 + -1. Let j*i**2 + 0*i**2 + 0*i**2 - 2*i**3 = 0. What is i?
0, 1
Let j(x) = -9*x**3 - 9*x**2 - 17*x. Let q(u) = 4 - 20*u**2 - 3*u**3 - 6*u + 17*u**2 - 4. Let m(z) = 6*j(z) - 17*q(z). Let m(r) = 0. What is r?
-1, 0
Let g(r) be the second derivative of -6*r + 0 + 0*r**2 - 1/3*r**3 + 0*r**5 + 2/15*r**6 - 1/3*r**4 + 1/2