)**2/3
Let h(x) be the first derivative of -x**6/9 + 8*x**5/15 - 5*x**4/6 + 4*x**3/9 - 6. Factor h(v).
-2*v**2*(v - 2)*(v - 1)**2/3
Let k(h) be the first derivative of -5 - 1/12*h**4 - 1/2*h**2 + 0*h - 4/9*h**3. Determine t so that k(t) = 0.
-3, -1, 0
What is z in -64/5*z**2 - 1/5 + 16/5*z = 0?
1/8
Suppose 0*m - 10 = -x + 2*m, -5*m = -4*x + 25. Let 2*i + 2*i**3 + x*i**2 - i + i - 4*i**2 = 0. Calculate i.
0, 1
Let -3*i**4 + 21*i**2 + 27*i**2 + 3*i**3 - 42*i**2 = 0. Calculate i.
-1, 0, 2
Solve -2/9*x**2 + 2/9*x + 0 = 0 for x.
0, 1
Let d(c) be the first derivative of c**5/90 + c**4/18 + c**3/9 + c**2/9 - 2*c + 2. Let t(j) be the first derivative of d(j). Let t(u) = 0. Calculate u.
-1
Let p(t) be the second derivative of 3*t**5/20 - t**4/4 + 5*t. Factor p(k).
3*k**2*(k - 1)
Let h(f) be the first derivative of f**4 + 4*f**3/3 - 8*f**2 - 16*f - 6. Factor h(u).
4*(u - 2)*(u + 1)*(u + 2)
Suppose -2*f**2 + 3*f + 3*f - 4*f = 0. Calculate f.
0, 1
Suppose y - 2 = -2*w - y, -5*w = 3*y - 9. Let p(m) be the first derivative of 8/15*m**3 + 98/25*m**5 + 14/5*m**4 - w + 0*m**2 + 0*m. Let p(q) = 0. Calculate q.
-2/7, 0
Let f(j) be the first derivative of j**3/12 + j**2/2 + 3*j/4 + 16. Find z, given that f(z) = 0.
-3, -1
Let u(i) = -i**5 + 5*i**4 + 9*i**3 - 9*i**2 + 4. Let r(p) = -p**5 - p**3 + p**2 - 1. Let t(q) = -4*r(q) - u(q). Determine b, given that t(b) = 0.
-1, 0, 1
Let l = -9 + 19. Let 14*a**4 - 23*a**4 + l*a**4 + a**3 - a**2 - a = 0. What is a?
-1, 0, 1
Let g = -5/6 + 3/2. Let q(a) be the first derivative of 1 + 0*a + 1/4*a**4 + 0*a**2 + g*a**3. Determine u so that q(u) = 0.
-2, 0
Let i be 1 - 1 - (-6)/(-36)*-3. Factor 1/2*a**2 + a + i.
(a + 1)**2/2
Let u = 304 + -892/3. Solve -20/3*p**2 - u*p**3 - 2/3 - 10/3*p**4 - 2/3*p**5 - 10/3*p = 0.
-1
Suppose 5*s - 2*s = 3. Suppose 6 = -d + 4*u, u - 8 = -2*d - d. Suppose -3 - 4*x + d - 2*x**2 - s = 0. Calculate x.
-1
Let v = 283/28 - 69/7. Let d(j) be the first derivative of 4 - 5/8*j**2 - v*j**3 + 1/2*j. Determine k, given that d(k) = 0.
-2, 1/3
Suppose -3*x + 29 = -2*y, -3*x + 38 - 8 = -3*y. Let w(q) = 6*q**2 - 6*q + 9. Let n(p) = p**2 + 1. Let h(m) = x*n(m) - w(m). Factor h(o).
3*o*(o + 2)
Let a be ((-3)/6)/((-2)/24). Suppose -3*h = -a - 3. Factor i**4 + 1/2*i - i**2 + 0*i**h - 1/2*i**5 + 0.
-i*(i - 1)**3*(i + 1)/2
Let d(z) be the third derivative of -1/270*z**5 + 0 + 1/108*z**4 - 4*z**2 - 1/540*z**6 + 1/27*z**3 + 0*z. Factor d(v).
-2*(v - 1)*(v + 1)**2/9
Let p(i) be the first derivative of 4*i**3/27 - i**2/9 - 2*i/9 + 9. What is c in p(c) = 0?
-1/2, 1
Factor -8*q**2 - 249 + 4*q + 249 + 4*q**3.
4*q*(q - 1)**2
Let k(y) be the second derivative of 0*y**2 + 0 - 1/36*y**4 + 1/60*y**5 - 2*y + 0*y**3. Factor k(w).
w**2*(w - 1)/3
Let g(n) be the second derivative of -n**6/105 + 3*n**5/70 - 4*n**3/21 - 36*n. Determine a, given that g(a) = 0.
-1, 0, 2
Factor 2 + a**4 - 19*a**4 - 10*a + 2*a**4 + 12*a**2 + 8*a**3.
-2*(a + 1)*(2*a - 1)**3
Let n(q) be the second derivative of 0*q**2 + 0 - 1/2*q**3 - 5*q + 0*q**4 + 3/20*q**5. Factor n(f).
3*f*(f - 1)*(f + 1)
Let l be (12/8 - -1)*8/10. Let o(q) be the first derivative of 1 - 2/33*q**3 - 3/11*q**l + 3/22*q**4 + 2/11*q. Solve o(w) = 0 for w.
-1, 1/3, 1
Solve 0 + 4/11*w + 2/11*w**2 = 0.
-2, 0
Let n(t) be the third derivative of t**7/420 + t**6/180 - t**3/3 - t**2. Let m(u) be the first derivative of n(u). Let m(z) = 0. Calculate z.
-1, 0
Let q(w) be the first derivative of -w**6/2520 + w**5/840 + 2*w**3/3 + 1. Let y(h) be the third derivative of q(h). What is d in y(d) = 0?
0, 1
Let v(u) be the second derivative of -49*u**5/25 - 7*u**4/5 + 16*u**3/5 - 8*u**2/5 - 7*u. Factor v(p).
-4*(p + 1)*(7*p - 2)**2/5
Let d(h) = h**2 - 1. Let u(o) = 5*o**2 + 4*o - 10. Let l be 8 - (-4)/(3 - 5). Let m(g) = l*d(g) - u(g). Solve m(k) = 0 for k.
2
Let t be 29/4 + 12/16. Factor -10*z + 17*z - t + 4*z**2 - 3*z.
4*(z - 1)*(z + 2)
Factor -16/3*w + 8/3*w**2 - 32/3 + 4/3*w**3.
4*(w - 2)*(w + 2)**2/3
Let z**2 - 1/2*z + 0 - 1/2*z**3 = 0. What is z?
0, 1
Suppose -8*u + 7*u = -4. Suppose r**2 + r**4 - 2*r**2 - 4*r + u*r = 0. What is r?
-1, 0, 1
Let u(t) be the first derivative of -15/2*t**4 - 5 + 14/3*t**3 + 26/5*t**5 - t**2 + 0*t - 4/3*t**6. Solve u(x) = 0.
0, 1/4, 1
Factor 6/19*a**2 - 8/19 + 4/19*a**3 - 2/19*a**4 - 8/19*a.
-2*(a - 2)**2*(a + 1)**2/19
Let t(r) = 7*r**5 - 10*r**4 + r**3 + 24*r**2 - 16*r + 4. Let h(d) = -6*d**5 + 9*d**4 - 23*d**2 + 16*d - 4. Let m(q) = 5*h(q) + 4*t(q). Let m(y) = 0. What is y?
-2, 1/2, 1, 2
Let q be 0 + 2 + 12/(-7). Suppose -6*v + 6 = -v - 2*m, 5*v + 4*m = -12. What is y in 0*y**2 + 0 - q*y**4 + v*y - 2/7*y**3 = 0?
-1, 0
Let f be (-343)/(-84) + 4*-1. Let u(w) be the second derivative of 7/40*w**5 + 0*w**3 - w + 1/12*w**6 + f*w**4 + 0 + 0*w**2. Solve u(o) = 0 for o.
-1, -2/5, 0
Let s(v) = 2*v**2 + 10*v + 7. Let w(x) = -x**2 - x - 1. Let k(q) = s(q) + 3*w(q). Let f be k(7). Factor 18*c**2 - 2*c + f - 12*c - 8.
2*(c - 1)*(9*c + 2)
Let m(i) = -12*i**2 - 44*i + 8. Let w(u) = -u**2 + 1. Let t(q) = m(q) + 4*w(q). Factor t(f).
-4*(f + 3)*(4*f - 1)
Suppose 5*g - 1 + 6 = -d, 5*g = 4*d + 20. Factor -1/2*z**2 + g + 0*z**3 + 1/6*z**4 - 1/3*z.
z*(z - 2)*(z + 1)**2/6
Let c(j) be the second derivative of j**7/56 + j**6/8 + 27*j**5/80 + 7*j**4/16 + j**3/4 - 10*j. Solve c(y) = 0.
-2, -1, 0
Let w = 23/42 - 3/14. Solve w*s**2 - 1/3*s - 2/3 = 0 for s.
-1, 2
Let z(p) be the third derivative of 1/120*p**6 + 0*p**4 + 0*p + 0 + 1/60*p**5 + 0*p**3 - p**2. Factor z(m).
m**2*(m + 1)
Let s(h) = -h**2 + h + 1. Let k(b) be the second derivative of -b**5/10 + b**4/4 + b**3/6 - 3*b**2/2 + 6*b. Let m(p) = -k(p) - s(p). Factor m(q).
2*(q - 1)**2*(q + 1)
Let d(s) = s**3 + 7*s**2 + 12*s + 12. Let u be d(-5). Let 10/7*a**4 + 0*a + 0 + 4/7*a**u + 2*a**3 = 0. What is a?
-1, -2/5, 0
Suppose -3*t + 5 = 2*t. Let r(y) = -y**2 + 3. Let j(a) = 1. Let p(w) = t*r(w) - 3*j(w). Find z, given that p(z) = 0.
0
Let l(s) = -s - 1. Let q(a) = -5*a**2 - 40*a - 55. Let h(i) = 10*l(i) - q(i). Factor h(k).
5*(k + 3)**2
Solve 24*r**3 + 16*r**5 + 4*r**2 + 43*r**4 + 0*r**4 - 7*r**4 = 0 for r.
-1, -1/4, 0
Let k(r) be the first derivative of -r**6/36 + r**5/15 + r**4/12 - 4*r**3/9 + 7*r**2/12 - r/3 + 27. What is d in k(d) = 0?
-2, 1
Let n(x) be the second derivative of -5*x**7/126 - x**6/18 + x**5/4 + 25*x**4/36 + 5*x**3/9 + 6*x. Let n(p) = 0. Calculate p.
-1, 0, 2
Suppose -5*m - 3*b = -m - 279, 3*b - 147 = -2*m. Find i, given that i + 18*i**3 + 32*i + 5*i - m*i**2 - 6 = 0.
1/3, 3
Solve 15 + 64*h + 20*h**2 - 12*h**2 + 20*h**2 + 1 = 0.
-2, -2/7
Let d(m) be the third derivative of m**6/480 - m**5/120 - 33*m**2. Factor d(f).
f**2*(f - 2)/4
Suppose -5*x = 5*i - 5, -1 = 4*x + x - i. Factor n**2 + 1 + x - 2*n**2.
-(n - 1)*(n + 1)
Suppose -6*d + d = -10. Factor -1/2*q**d - 1/2 - q.
-(q + 1)**2/2
Let m be (-106)/720 - 2/(-9). Let b(o) be the third derivative of 0*o - m*o**5 + 0 - 3*o**2 + 1/4*o**4 - 1/3*o**3. Determine p, given that b(p) = 0.
2/3
Let g = -23 + 39. Factor -9*k**2 + 17*k**4 - 5*k**4 + g + k**3 - 3*k**2 - 33*k**3 + 48*k.
4*(k - 2)**2*(k + 1)*(3*k + 1)
Suppose 3*r + z - 2 = 3, -4*r = -3*z - 24. Factor 3*b**4 - 31*b**r + 2*b + 29*b**3 + 2*b**2 - 5*b**4.
-2*b*(b - 1)*(b + 1)**2
Suppose 0 = -z - 7*z - 2*z. Suppose -3/4*d**2 - 3/4*d**5 - 9/4*d**4 + z*d - 9/4*d**3 + 0 = 0. Calculate d.
-1, 0
Let m(x) be the third derivative of x**7/3360 + x**6/576 + x**5/240 - x**4/6 + 7*x**2. Let z(y) be the second derivative of m(y). Factor z(w).
(w + 1)*(3*w + 2)/4
Suppose 20 = 4*z, -3*n + 2*z - 33 = -14. Let w be (2 - 2)/(n/3). Suppose -1/4*c + w + 10*c**4 - 33/4*c**3 + 5/2*c**2 - 4*c**5 = 0. Calculate c.
0, 1/4, 1
Let y(p) be the second derivative of -p**5/10 + 17*p**4/6 - 80*p**3/3 + 64*p**2 - 46*p. Factor y(t).
-2*(t - 8)**2*(t - 1)
Let a(t) be the second derivative of 1/2*t**3 + 0 + 0*t**2 + 1/2*t**4 + 4*t + 3/20*t**5. Determine v, given that a(v) = 0.
-1, 0
Let c be 2 + -4 - 6/(-2). Let m be (c - (-1)/(-2))/1. Factor -1/2*j**4 + 1/2*j - j**3 - m + j**2 + 1/2*j**5.
(j - 1)**3*(j + 1)**2/2
Let z(s) be the first derivative of -5*s**6/6 - s**5 + 25*s**4/4 - 5*s**3 - 13. Let z(w) = 0. Calculate w.
-3, 0, 1
Let 0*i**4 + 8*i + 5*i**5 + 12*i**2 - 9*i**4 - 9*i**5 - 3*i**4 - 4*i**3 = 0. Calculate i.
-2, -1, 0, 1
Let c = -458/5 + 92. Factor 2/5*k**5