/40*h**5 - 1/4*h**b + 0. Factor y(z).
-(z + 1)**3/2
Determine c so that 2/13*c**2 - 2/13*c + 0 = 0.
0, 1
Let a(f) = -f**3 - f**2 - 1. Let n(u) = 8*u**2 - 4*u - 16. Let g(p) = 4*a(p) - n(p). Factor g(b).
-4*(b - 1)*(b + 1)*(b + 3)
Let c be 3/84 + (-1)/(-4). Factor 2/7*s + c*s**3 + 4/7*s**2 + 0.
2*s*(s + 1)**2/7
Suppose -6*h + 4*h**5 - 16*h**3 - 16*h**2 + 4*h**4 + 4*h + 2*h = 0. Calculate h.
-2, -1, 0, 2
Let n(w) = w**2 - 4. Let o be n(6). Let b = o - 86/3. Let -4/3 + 2/3*p**3 - 8/3*p**2 + b*p = 0. Calculate p.
1, 2
Let x(i) = 3*i - 27. Let l be x(9). Factor 2/11*b**3 - 2/11*b + l + 0*b**2.
2*b*(b - 1)*(b + 1)/11
Suppose 3*i = -y + 2, 5*i + 1 - 19 = 2*y. Let t(z) be the first derivative of -i + 1/15*z**3 + 0*z - 1/5*z**2. Solve t(h) = 0.
0, 2
Suppose 3/5*a**4 + 0*a**3 + 0*a - 3*a**2 + 12/5 = 0. What is a?
-2, -1, 1, 2
Let a be (-12)/(-28) - (-15)/(-35). Let b(x) = -x**3 - x**2 - 1. Let p be b(-2). Factor a + 0*j - 1/4*j**2 - 1/4*j**p.
-j**2*(j + 1)/4
Let c(p) be the third derivative of p**5/180 - p**4/36 + p**3/18 + 14*p**2. Factor c(n).
(n - 1)**2/3
Find v such that -2 - 3*v**4 + 2 + v**5 - 2*v**5 - 2*v**3 + 1 + 2*v**2 + 3*v = 0.
-1, 1
Let o(k) be the third derivative of 0*k - 1/15*k**5 + 4/189*k**7 - 1/135*k**6 - 2/27*k**3 - 1/168*k**8 + 13/108*k**4 + 3*k**2 + 0. Let o(i) = 0. Calculate i.
-1, 2/9, 1
Let x(z) = 26*z**3 - 2*z + 1. Let a be x(1). Suppose 5*c = -0*c + a. Suppose -14*w + 0*w**3 + c*w**2 + 14*w**3 - 4 - w**2 = 0. What is w?
-1, -2/7, 1
Let w(f) be the first derivative of 2*f**3/15 - 7*f**2/5 + 4*f - 40. Solve w(p) = 0.
2, 5
Let g(j) be the third derivative of j**6/60 + 2*j**5/15 + j**4/3 - 7*j**2. What is m in g(m) = 0?
-2, 0
Let a(r) be the second derivative of -9*r**5/20 + r**4 + 11*r**3/6 + r**2 + 9*r. Factor a(j).
-(j - 2)*(3*j + 1)**2
Let -13*w**3 + 19*w**3 - 10*w - 11*w**3 - 15*w**2 = 0. What is w?
-2, -1, 0
Let f(b) = -2*b - b - 3*b + 4*b + 6. Let z be f(3). Factor 2/11*n**3 + 4/11*n**2 + 2/11*n + z.
2*n*(n + 1)**2/11
Let p(f) be the third derivative of -2*f**7/21 + 13*f**6/30 - 3*f**5/5 - f**4/6 + 4*f**3/3 + 4*f**2. Determine k, given that p(k) = 0.
-2/5, 1
Let o(f) be the third derivative of 0*f + 1/24*f**3 - 1/96*f**4 + 2*f**2 - 1/240*f**5 + 0 + 1/480*f**6. Find u such that o(u) = 0.
-1, 1
Let b(f) = f**2 + f - 4. Let a be 1/(3/9*-1). Let m be b(a). Solve -10*q**3 + 3*q**3 - 3*q**2 - 13*q**m - 2 - 11*q = 0.
-1, -2/7
Let h(u) be the second derivative of -u**5/10 + u**4/2 - 2*u**3/3 - 7*u. Factor h(r).
-2*r*(r - 2)*(r - 1)
Let z(s) be the second derivative of -s**5/70 + s**4/21 - s**3/21 - 11*s. Determine d, given that z(d) = 0.
0, 1
Suppose n - 7 = 19. Let c = 28 - n. Factor -3/4 + 3/4*v**c + 0*v.
3*(v - 1)*(v + 1)/4
Let j = 331/1183 - -1/169. Factor 0*y + j*y**2 - 2/7*y**3 + 0 + 2/7*y**5 - 2/7*y**4.
2*y**2*(y - 1)**2*(y + 1)/7
Let v be 5/((-10)/(-64)) - 0. Let c be (2/4)/(4/v). Factor -4*i**2 + c*i**4 + 2 + 0 - 2*i**4.
2*(i - 1)**2*(i + 1)**2
Let z be (5/25)/(4/10). Factor 0 + 0*v**2 + z*v**3 + 0*v.
v**3/2
Let b(k) be the third derivative of -k**10/2016 + k**9/1680 + k**8/1120 - 7*k**4/24 + 7*k**2. Let l(m) be the second derivative of b(m). Factor l(u).
-3*u**3*(u - 1)*(5*u + 2)
Let t = 7 - 13. Let f be (t + 10)*1/10. Let 2/5 - 2/5*n - 2/5*n**5 + 4/5*n**3 + f*n**4 - 4/5*n**2 = 0. Calculate n.
-1, 1
Let s(t) be the third derivative of -t**5/12 + 5*t**4/24 + 5*t**3 + 39*t**2. Find i, given that s(i) = 0.
-2, 3
Let s(c) = 5*c**2 - 7*c + 2. Let u(r) = -14*r**2 + 20*r - 6. Let k(h) = -8*s(h) - 3*u(h). Determine j so that k(j) = 0.
1
Determine s so that 3/2*s**2 + 5/4*s**3 + 1/4*s**4 - s - 2 = 0.
-2, 1
Let x be (4/(-1))/(-26 - -24). Factor -1/2*a**3 + 0 + 1/2*a + 0*a**x.
-a*(a - 1)*(a + 1)/2
Let n(o) be the first derivative of o**4/42 + o**3/21 - 2*o**2/7 - 3*o - 2. Let z(q) be the first derivative of n(q). Factor z(l).
2*(l - 1)*(l + 2)/7
Let d = 247/3 - 81. Let w(m) be the second derivative of 2/5*m**5 + d*m**3 + 0 - m**2 - m**4 - 1/15*m**6 + m. Suppose w(l) = 0. Calculate l.
1
Factor 2/7*t**2 + 2/7 - 4/7*t.
2*(t - 1)**2/7
Let t(l) be the first derivative of 4*l**3/3 + 6*l**2 + 20. Factor t(s).
4*s*(s + 3)
Suppose -9*i + 2*i + 28 = 0. Suppose 0*j**2 - 3/5*j**5 - 3/5*j**i + 0*j**3 + 0*j + 0 = 0. Calculate j.
-1, 0
Let d(b) be the first derivative of b**7/120 + 11*b**6/720 - b**5/48 - b**4/24 - 2*b**3/3 + 2. Let w(j) be the third derivative of d(j). Factor w(r).
(r + 1)*(2*r - 1)*(7*r + 2)/2
Let c(h) be the second derivative of 4*h + 1/60*h**6 - 1/8*h**5 + 3/8*h**4 + 1/2*h**2 - 7/12*h**3 + 0. Suppose c(u) = 0. Calculate u.
1, 2
Let d(n) be the first derivative of n**3/3 - n**2/2 - 2*n + 8. Factor d(a).
(a - 2)*(a + 1)
Let a(y) be the third derivative of -y**8/26880 + y**7/5040 - y**6/2880 + y**5/30 + y**2. Let k(d) be the third derivative of a(d). Factor k(i).
-(i - 1)*(3*i - 1)/4
Suppose -3*m - 6 = 4*d - 2*d, -d - 3 = m. Let p be 17/5 - 2/5. Determine o, given that m - 2/3*o**4 + 0*o**p + 2/3*o**2 + 0*o = 0.
-1, 0, 1
Solve 80/13*n - 2/13*n**4 - 6/13*n**2 + 6/13*n**5 - 54/13*n**3 - 24/13 = 0 for n.
-2, 1/3, 1, 3
Let h(x) be the first derivative of 10/3*x**5 + 5/6*x**4 + 4/3*x**2 + 6 + 0*x - 32/9*x**3. Factor h(a).
2*a*(a + 1)*(5*a - 2)**2/3
Let x(d) be the second derivative of d**6/600 - d**5/60 + d**4/40 + d**3/3 - 8*d. Let j(w) be the second derivative of x(w). Factor j(y).
(y - 3)*(3*y - 1)/5
Suppose 4*m - 6*u = -3*u, -m - 4*u = 0. Find b, given that 0 + 0*b - 2/3*b**3 + m*b**2 + 7/3*b**5 - 5/3*b**4 = 0.
-2/7, 0, 1
Let x(p) be the first derivative of -p**3/15 + 2*p**2/5 - 4*p/5 + 11. What is g in x(g) = 0?
2
Let n(c) be the first derivative of 2/25*c**5 + 0*c - 1/10*c**4 - 2 + 1/5*c**2 - 2/15*c**3. Factor n(a).
2*a*(a - 1)**2*(a + 1)/5
Let r be (-2)/4 - (-4)/(-16)*-3. Let w(q) be the first derivative of 0*q - r*q**4 + 0*q**2 + 4 + 1/3*q**3. Factor w(p).
-p**2*(p - 1)
Factor -2*r**3 + r**2 + r**4 + 24*r**2 - 8*r**3.
r**2*(r - 5)**2
Let z = 5 - 3. Suppose -5*b + 5 = -10. Let p - z*p**2 - 4*p - p**b + 2*p = 0. Calculate p.
-1, 0
Let i(c) be the first derivative of -c**5/5 + 3*c**4/4 + 5*c**3/3 - 3*c**2/2 - 4*c + 32. Find r, given that i(r) = 0.
-1, 1, 4
Let t be 1/((-1)/3*-1). Determine f, given that -1 - f**t + 0*f**2 - 3*f**2 - f**3 - 3*f + f**3 = 0.
-1
Let y = 4950/7 - 706. Let d be -2 + (0 - (-32)/7). Factor y + 32/7*p - d*p**2.
-2*(p - 2)*(9*p + 2)/7
Let j be (6/360)/((-12)/(-15)). Let l(h) be the second derivative of 0 - 1/30*h**6 + 1/16*h**5 + 2*h + 0*h**2 - j*h**4 + 0*h**3. Factor l(a).
-a**2*(a - 1)*(4*a - 1)/4
Let h(a) be the first derivative of 0*a + 0*a**2 - 1 - 2/27*a**3. Factor h(u).
-2*u**2/9
Let l(c) be the third derivative of -c**7/315 + c**6/60 - c**5/45 + 8*c**2. Factor l(d).
-2*d**2*(d - 2)*(d - 1)/3
Let t(f) be the first derivative of -2/5*f**5 - 1/4*f**4 + 0*f + 1/6*f**6 + 5 + 2/3*f**3 + 0*f**2. Factor t(i).
i**2*(i - 2)*(i - 1)*(i + 1)
Let j(t) be the third derivative of t**7/189 + 2*t**6/135 + t**5/270 - t**4/54 - 2*t**2. Factor j(m).
2*m*(m + 1)**2*(5*m - 2)/9
Find x such that 4/7*x**3 + 32/7*x + 16/7 + 20/7*x**2 = 0.
-2, -1
Let c(z) be the first derivative of -1 + 1/6*z**3 - 1/20*z**5 + 0*z**2 + 0*z - 1/16*z**4. Find b, given that c(b) = 0.
-2, 0, 1
Let p(g) be the second derivative of -1/25*g**6 + 0 + 1/25*g**5 + 9*g + 1/15*g**4 + 1/5*g**2 - 1/5*g**3 + 1/105*g**7. Factor p(l).
2*(l - 1)**4*(l + 1)/5
Suppose 4*z**2 + 51*z - 36*z - 39*z = 0. Calculate z.
0, 6
Let y(r) be the third derivative of -r**7/1260 - r**6/360 + r**5/90 + r**4/72 - r**3/12 + 11*r**2. Determine n, given that y(n) = 0.
-3, -1, 1
Suppose v = 2*r - 4, 4 + 12 = 3*v + r. Factor s**3 + 7*s - s**3 - 5*s**2 + 2 - v*s**3.
-(s - 1)*(s + 2)*(4*s + 1)
Let k = 116 + -111. Let a(f) be the third derivative of 0*f**6 + 0*f**k - 1/420*f**7 + 0*f**3 + 4*f**2 + 0 + 0*f + 0*f**4. Factor a(g).
-g**4/2
Factor 0 + 9/7*i**3 + 3/7*i**2 + 0*i + 3/7*i**5 + 9/7*i**4.
3*i**2*(i + 1)**3/7
Solve 2/7*r**3 + 6/7*r**2 + 4/7*r + 0 = 0.
-2, -1, 0
Suppose 5*u = p - 14, 0 = p - 0*u + 2*u. Let i be 26/8 - p/16. Determine x, given that 0 + 1/3*x**2 + 1/3*x - 1/3*x**4 - 1/3*x**i = 0.
-1, 0, 1
Let g be (8/(-40))/(1/(-10)). Factor -u**g + 290 - u**3 - 290.
-u**2*(u + 1)
Factor -12 + 25*u + 26 + 5*u**2 + 6.
5*(u + 1)*(u + 4)
Suppose 5*g = 3*g - 2. Let y be 0/g + -6 + 6.