*g**f + 0*g**4 + g**4 + 2*g**5.
-g**4*(g - 1)
Let f(h) = 12*h**2 - 2*h - 1. Let t be f(2). Factor -20*w**3 + t*w**5 - 4*w**2 - 32*w**4 + 21*w**5 - 8*w**3.
4*w**2*(w - 1)*(4*w + 1)**2
Suppose 3*z = -4*f - 2, 0 = -5*z - 6 + 16. Let t be f/3*(-9)/2. Find o, given that 1/2*o + 0*o**4 + 0*o**2 + 0 + 1/2*o**5 - o**t = 0.
-1, 0, 1
Let h(b) be the first derivative of 3*b**4/4 - 2*b**3 - 15*b**2/2 + 18*b + 35. Suppose h(o) = 0. What is o?
-2, 1, 3
Suppose -3*j + 17 = 5. Let l(i) be the first derivative of -i**2 + 3 + 0*i + 1/2*i**j + i**3. Factor l(t).
t*(t + 2)*(2*t - 1)
Let x(v) = v**2. Let s(l) = l**2 - 3*l + 6. Let n(u) = u**2 - 4*u + 5. Let c(t) = 3*n(t) - 2*s(t). Let y(i) = -c(i) - 2*x(i). Factor y(b).
-3*(b - 1)**2
Suppose -w + 24 = 2*w. Factor 10*o**2 + 4*o + 2*o + 4 + w*o.
2*(o + 1)*(5*o + 2)
Suppose 3*d - 399 = -3*c, -2*d - 547 = -6*d - c. Determine w so that 50*w**4 - 220*w**3 + 80*w**3 + 8 + d*w**2 - 21*w - 35*w = 0.
2/5, 1
What is h in h**3 - 5/3 + 17/3*h**2 + 3*h = 0?
-5, -1, 1/3
Let m(u) = 7*u**4 - 9*u**3 - 46*u**2 - 52*u - 32. Let z(p) = p**4 - 2*p**2 - p - 1. Let o(j) = -5*m(j) + 40*z(j). Let o(q) = 0. Calculate q.
-3, -2
Suppose -10 = -2*r + c, -c - c = -3*r + 16. Let u(w) = w**2 + 8*w + 3. Let g be u(-8). Let -2 - 5/2*l**2 + r*l + 1/2*l**g = 0. What is l?
1, 2
Suppose 10 = 7*j - 2*j. Suppose 3*u - 27 = -5*h, -3*h - 2*h + 5*u - 5 = 0. Determine v so that v**2 - v**2 - v**j - v**h + 2*v**2 = 0.
0, 1
Suppose -l + 3 = -3*m + 2*m, 4*m = -5*l - 3. Factor 3*s - s - s**2 - 3 + l + s.
-(s - 2)*(s - 1)
Suppose -4 = -2*d + d. Let i = d + -2. Solve -1 + 4*l**4 + 1 - i*l**4 = 0.
0
Let x be (-50)/114 - 2/(-6). Let i = 44/57 + x. Factor -2/3*o**3 + 4/3 + i*o - 4/3*o**2.
-2*(o - 1)*(o + 1)*(o + 2)/3
Let v(s) be the first derivative of -s**4/10 + 2*s**3/15 + s**2/5 - 2*s/5 + 6. Find z such that v(z) = 0.
-1, 1
Suppose 2*c - 14 = 5*l + 26, 40 = -5*l - c. Let u be l/(-3) - (0 + 2). What is m in 8/3*m**2 + 10/3*m + u*m**3 + 4/3 = 0?
-2, -1
Let d be (-8)/28 - (-24)/42. Let 0 - 4/7*j**2 + 0*j - 2/7*j**3 + d*j**5 + 4/7*j**4 = 0. Calculate j.
-2, -1, 0, 1
Let c(y) be the first derivative of -4/45*y**5 + 3 + 0*y - 1/27*y**6 + 1/9*y**2 + 0*y**4 + 4/27*y**3. Factor c(d).
-2*d*(d - 1)*(d + 1)**3/9
Let b = 5 + -4. Let m(d) = -d**2 + 3*d - 4. Let a(s) = -s + 1. Let z(h) = b*m(h) + 4*a(h). Let z(w) = 0. Calculate w.
-1, 0
Let l be (12/5)/((-12)/(-40)). Let -l*s**4 - 23*s**3 + 3*s**5 + 21*s**3 + 3*s**4 = 0. Calculate s.
-1/3, 0, 2
Let g(x) be the second derivative of x**4/60 - x**3/30 - 3*x**2/5 + 12*x. Determine f so that g(f) = 0.
-2, 3
Let i(z) be the first derivative of -7*z**6/2 - 9*z**5 - 27*z**4/4 - z**3 - 19. Determine m, given that i(m) = 0.
-1, -1/7, 0
Let l(b) be the third derivative of -2/39*b**3 + 1/130*b**5 + 1/780*b**6 + 0 + 0*b - 2*b**2 - 1/1365*b**7 - 1/156*b**4. Solve l(u) = 0 for u.
-1, 1, 2
Let q(b) be the first derivative of b**4/36 - b**3/9 + b**2/6 - b/9 - 20. Factor q(l).
(l - 1)**3/9
Suppose -15 = -7*g + 2*g. Let v be 0/(g - 1 - 1). Factor 0 + v*h + 0*h**3 + 3/2*h**2 - 3/2*h**4.
-3*h**2*(h - 1)*(h + 1)/2
Let w = 4772 + -18955/4. Let v = w - 33. Suppose 1/4*f**5 + 0*f + 0*f**4 + 0*f**2 + 0 - v*f**3 = 0. What is f?
-1, 0, 1
Let w(x) be the first derivative of -x**5 + 15*x**4/4 - 5*x**3 + 5*x**2/2 - 22. Suppose w(b) = 0. Calculate b.
0, 1
Let j = -490 + 2453/5. Factor 0 + 0*g + 6/5*g**3 - 3/5*g**4 - j*g**2.
-3*g**2*(g - 1)**2/5
Let h = 567/141920 + 2/887. Let x(t) be the third derivative of 0 - t**2 + 1/80*t**5 + 0*t**3 - h*t**6 + 0*t + 1/840*t**7 - 1/96*t**4. What is d in x(d) = 0?
0, 1
Let p = -6 - 4. Let b be (2 - (-24)/p)*-5. Find n, given that 4 - 3*n**3 + 8*n**b + n**3 - 10*n + 0 = 0.
1, 2
Let m(k) be the second derivative of -k**6/135 + k**5/30 - 4*k**3/27 - 7*k. Suppose m(t) = 0. What is t?
-1, 0, 2
Let h(x) = -x + 4. Let d be h(2). Suppose 3*u - 5*u + 8 - 6*u + 2*u**d = 0. Calculate u.
2
Let p(f) be the first derivative of -f**7/350 - 5*f**2/2 - 5. Let q(b) be the second derivative of p(b). What is d in q(d) = 0?
0
Let z(s) = -s**2 - 5*s + 6. Let b(y) = y - 1. Let f(p) = -6*b(p) - z(p). Let f(m) = 0. What is m?
0, 1
Let f(p) = -p**3 + 26*p**2 + 28*p - 25. Let r be f(27). Factor 2/3*z**r + 4/9 + 10/9*z - 2/9*z**4 - 2/9*z**3.
-2*(z - 2)*(z + 1)**3/9
Let n(g) be the first derivative of -g**4/4 - 2. Let y(q) = -339*q**3 + 294*q**2 - 84*q + 8. Let b(u) = 4*n(u) + y(u). Find v such that b(v) = 0.
2/7
Let m(t) be the second derivative of t**8/2240 - t**4/12 + 6*t. Let y(a) be the third derivative of m(a). Determine j so that y(j) = 0.
0
Suppose 4*a - 3*i - 25 = 0, 0 = 4*a - 0*i - 5*i - 31. Suppose 0 = a*d - 8*d. Factor d*q**3 - 2/7*q**4 - 2/7*q**5 + 0*q + 0*q**2 + 0.
-2*q**4*(q + 1)/7
Suppose 3*v + 14 = 4*w - 1, 0 = 2*v - 6. Suppose -3*h + 0*h = -6. Factor -3 + 4 + 3 + h*d**2 - w*d.
2*(d - 2)*(d - 1)
Determine y so that y + 7*y**4 - 2*y - 2*y**2 + y**5 + 4*y**2 - 9*y**4 = 0.
-1, 0, 1
Let w(h) be the first derivative of -9*h**4/4 + 7*h**3/3 + 10*h**2 + 4*h - 9. Factor w(a).
-(a - 2)*(a + 1)*(9*a + 2)
Let l(s) be the first derivative of 4 + s**2 + 1/120*s**6 - 1/6*s**3 + 1/8*s**4 + 0*s - 1/20*s**5. Let k(r) be the second derivative of l(r). Factor k(y).
(y - 1)**3
Let v = 214 - 22469/105. Let x(m) be the third derivative of 0*m + 0*m**4 + 1/42*m**8 + 0*m**3 + 2*m**2 + v*m**7 + 0*m**5 + 0 + 0*m**6. Solve x(i) = 0.
-1/4, 0
Let a(j) be the first derivative of 0*j**4 + 1/60*j**5 + 0*j + 1/240*j**6 + 0*j**3 + 1/2*j**2 - 2. Let i(r) be the second derivative of a(r). Factor i(b).
b**2*(b + 2)/2
Let c = 25/66 - 1/22. Let g(o) be the third derivative of c*o**3 + o**2 - 1/8*o**4 + 0*o + 1/60*o**5 + 0. Factor g(t).
(t - 2)*(t - 1)
Suppose -7*q = -6*q. Suppose q*m = -4*m. Factor -1/3*g**3 + 1/3*g**2 - 1/3*g**4 + m + 1/3*g.
-g*(g - 1)*(g + 1)**2/3
Let b(h) be the second derivative of -h**5/40 + 7*h**4/24 - 5*h**3/4 + 9*h**2/4 + 10*h. Factor b(a).
-(a - 3)**2*(a - 1)/2
Let z(d) = -7*d**3 + 7*d**2 + 8*d - 6. Let s(i) = i**3 - i**2 - i + 1. Let a(f) = -6*s(f) - z(f). Factor a(c).
c*(c - 2)*(c + 1)
Let b = 44 - 392/9. Factor -2/9*u**3 + 0 + b*u**2 - 2/9*u.
-2*u*(u - 1)**2/9
Let h(s) be the second derivative of -s**2 + 1/6*s**3 + 1/48*s**4 + 0 + 2*s - 1/120*s**5. Let f(n) be the first derivative of h(n). Factor f(p).
-(p - 2)*(p + 1)/2
Let r be 1 - 10/8 - 119/(-204). Factor r*z**4 - 1/3*z - 1/3*z**2 + 1/3*z**3 + 0.
z*(z - 1)*(z + 1)**2/3
Factor -4/9*a**2 + 2/9*a**3 + 2/9*a + 0.
2*a*(a - 1)**2/9
Solve 1/2*f**2 - 1/2 + 1/2*f**3 - 1/2*f = 0.
-1, 1
Let t(w) be the second derivative of 7*w**4/12 + w**3/3 - 16*w. Factor t(j).
j*(7*j + 2)
Let y(i) = -2*i**2 - 6*i - 4. Let f(t) be the first derivative of 7/2*t**2 + 5*t + 2/3*t**3 + 1. Let d(n) = -6*f(n) - 7*y(n). Factor d(c).
2*(c - 1)*(c + 1)
Let x(i) be the third derivative of i**7/525 - i**6/150 - i**5/150 + i**4/30 - 9*i**2. Factor x(p).
2*p*(p - 2)*(p - 1)*(p + 1)/5
Suppose 2/15*v + 0 + 2/15*v**2 = 0. What is v?
-1, 0
Let v be (-9)/(-6)*3/6. Let p = 25/52 - -7/26. Determine u so that v*u**2 + p*u + 1/4 + 1/4*u**3 = 0.
-1
Let f(r) = -2 + 2*r**2 - 3*r**2 + 6*r + 4*r**2 + r**3. Let x(v) = 3*v**3 + 9*v**2 + 17*v - 5. Let t(c) = -8*f(c) + 3*x(c). Factor t(s).
(s + 1)**3
Let u(v) be the second derivative of -v**4/12 + 2*v**3/3 - 2*v**2 + 7*v. Suppose u(k) = 0. What is k?
2
Let o(z) = z**3 - 7*z**2 + 7*z - 6. Let g be o(6). Suppose -24*m + 27*m = g. Solve 0*r**3 + 1/2*r**5 + 0 - 1/2*r**4 + m*r + 0*r**2 = 0 for r.
0, 1
Let j(s) be the first derivative of -4*s**6/3 - 14*s**5/5 - s**4 + 2*s**3/3 - 28. Determine z so that j(z) = 0.
-1, 0, 1/4
Suppose 2 = o + o - 2*q, 3*o + 2*q - 18 = 0. Suppose -d = -2*d + o. Let -2*m**3 + 4*m**4 + d*m**3 - 2*m**4 = 0. What is m?
-1, 0
Factor c**2 + 0*c**3 + 3*c**4 - 3*c**3 - 4*c**4 + 4*c**3 - c.
-c*(c - 1)**2*(c + 1)
Let -4*i - 1/2*i**3 + 2 + 5/2*i**2 = 0. Calculate i.
1, 2
Suppose 2*g - 6*g = v - 8, -5*g - 5*v - 5 = 0. What is n in 2/11*n**4 + 0 + 0*n + 0*n**2 + 2/11*n**g = 0?
-1, 0
Suppose -4/9*g**2 + 4/9*g**3 + 0 + 0*g + 1/3*g**4 = 0. Calculate g.
-2, 0, 2/3
Let m(h) be the third derivative of h**6/1980 - h**4/132 + h**3/6 - 6*h**2. Let a(x) be the first derivative of m(x). Suppose a(f) = 0. What is f?
-1, 1
Let d(i) be the second derivative of -9*i**5/4 - i**4/2 + 13*i. Factor d(o)