*4/2 - 3*u. Let r(o) be the third derivative of w(o). Factor r(c).
2*c*(c - 1)*(5*c - 2)**2/9
Let i(v) be the third derivative of 0*v**5 + 0*v**3 - 2*v**2 + 1/140*v**8 + 0*v**4 + 0 + 0*v - 3/350*v**7 - 1/200*v**6. Factor i(q).
3*q**3*(q - 1)*(4*q + 1)/5
Let j(r) be the third derivative of -r**6/48 - 5*r**5/24 - 35*r**4/48 - 5*r**3/4 + 3*r**2. Factor j(h).
-5*(h + 1)**2*(h + 3)/2
Let r = -4 + 6. Suppose -r*t = -3 - 1. Determine w, given that 3*w**4 + 3*w**2 + 3*w**3 + w**5 - 4*w**t + 2*w**2 = 0.
-1, 0
Let v(x) be the first derivative of -x**6/15 + 6*x**5/25 - x**4/5 - 4*x**3/15 + 3*x**2/5 - 2*x/5 - 39. Factor v(b).
-2*(b - 1)**4*(b + 1)/5
Let -24/7*y**2 - 22/7*y**3 - 8/7*y + 0 - 6/7*y**4 = 0. What is y?
-2, -1, -2/3, 0
Suppose 2*c + 2 - 8 = 0. Let i(s) = s - 7. Let f be i(7). Solve 0 + 1/2*z**c + 0*z + f*z**2 + 1/2*z**4 = 0.
-1, 0
Let s(y) be the second derivative of 1/7*y**2 + 2/21*y**3 + 0 + y + 1/42*y**4. Factor s(j).
2*(j + 1)**2/7
Let u be (-5718)/(-70) + (-9)/(-15). Let q = u + -82. Factor -q - 8/7*v - 12/7*v**2 - 2/7*v**4 - 8/7*v**3.
-2*(v + 1)**4/7
Let r(w) be the third derivative of w**6/30 + w**5/5 + 4*w**2. Factor r(z).
4*z**2*(z + 3)
Let j be 18/(-8) - (-1)/4. Let x = j + 5. Let 7*l**4 + l**x - 3*l**3 - 5*l**4 = 0. Calculate l.
0, 1
Determine d, given that 0 - 21/4*d**3 + 3*d - 6*d**2 + 15/4*d**4 = 0.
-1, 0, 2/5, 2
Let h(p) be the second derivative of p**7/315 + p**6/60 - p**4/9 + p**2/2 + 5*p. Let r(d) be the first derivative of h(d). Factor r(x).
2*x*(x - 1)*(x + 2)**2/3
Suppose -5*n + 30 = -3*a, -4*n - 2*a = a + 3. Let v(t) be the third derivative of 0*t + 2/9*t**n + 1/36*t**4 - 3*t**2 - 1/90*t**5 + 0. Factor v(i).
-2*(i - 2)*(i + 1)/3
Let r(q) = q**2 + 8*q + 10. Let s be r(-7). Suppose 0*z - 2/11*z**2 + 0 + 2/11*z**s = 0. Calculate z.
0, 1
Let m = 13/54 + 7/27. Let q(r) be the second derivative of -r + 0 - 1/10*r**6 + 3/20*r**5 - m*r**3 + 1/4*r**4 + 0*r**2. Factor q(i).
-3*i*(i - 1)**2*(i + 1)
Let a(v) be the first derivative of 8*v - 8 - 10*v**2 + 16/3*v**3 - v**4. Factor a(p).
-4*(p - 2)*(p - 1)**2
Let g(m) be the first derivative of m**3 - 12*m - 10. Find t, given that g(t) = 0.
-2, 2
Let f(d) = -d**2 + 2*d + 1. Let n be f(3). Let o be n/(-13) + 252/390. Factor -o*v**3 + 4/5*v - 2/5 + 2/5*v**2.
-2*(v - 1)*(v + 1)*(2*v - 1)/5
Let z be (3/(-4))/(121/(-88)). Suppose 2/11*y**3 + 4/11 + 2/11*y**4 - 2/11*y - z*y**2 = 0. Calculate y.
-2, -1, 1
Let s(c) be the third derivative of -c**5/15 - c**4/6 + 4*c**3/3 - 2*c**2 - 2. Factor s(h).
-4*(h - 1)*(h + 2)
Let n be (0 + -13 + 11)*(-3 - -1). Factor -3/2*a + a**3 - 1/2 + 1/2*a**5 - a**2 + 3/2*a**n.
(a - 1)*(a + 1)**4/2
Let v(a) be the first derivative of a**3/6 + 13*a**2/4 + 6*a + 18. Factor v(i).
(i + 1)*(i + 12)/2
Let v(l) = -2*l**2 + l - 1. Let k(g) = 6*g**2 - 16*g + 4. Let b(o) = -k(o) - 4*v(o). Factor b(j).
2*j*(j + 6)
Let l(i) be the second derivative of 0 - 1/252*i**7 - 5*i + 0*i**4 + 0*i**2 + 0*i**3 - 1/90*i**6 - 1/120*i**5. Solve l(g) = 0.
-1, 0
Let d(u) = -2*u**5 - u**4 - 5*u**2. Let m(l) = -l**5 - l**4 - 3*l**2. Let p(t) = 3*d(t) - 5*m(t). Solve p(k) = 0.
0, 2
Suppose 1 = 2*p - 1. Factor 8*a - 2*a**2 + p - 4*a - 3.
-2*(a - 1)**2
Let i(y) = y**2 - 4*y - 3. Suppose a = -3*a + 20. Let n be i(a). Factor -4*b + 2*b**2 - 2*b**2 + n*b**2 + 2.
2*(b - 1)**2
Let x = 1029 + -1029. Factor 7/2*j**5 + 0*j**2 + x*j - j**3 + 0 - 5/2*j**4.
j**3*(j - 1)*(7*j + 2)/2
Let y be (20/48)/(40/24). Let -1/4*q**2 - 1/2*q - y = 0. Calculate q.
-1
Let r(u) be the third derivative of -u**5/48 + 5*u**4/12 - 10*u**3/3 - 17*u**2. Factor r(x).
-5*(x - 4)**2/4
Let a(m) be the first derivative of 0*m - m**2 - 2/5*m**5 + 2 + 1/2*m**4 + 2/3*m**3. Determine d so that a(d) = 0.
-1, 0, 1
Let k(d) be the second derivative of -1/56*d**7 - d + 0*d**5 + 1/8*d**4 + 0*d**2 - 1/20*d**6 + 1/8*d**3 + 0. What is j in k(j) = 0?
-1, 0, 1
Let j be (-2 + 1)*1*-1. Suppose -2*b + 3 + j = 0. Let 5*t + 3*t**3 + 3*t**3 + 6*t**2 + b*t**4 - 3*t = 0. Calculate t.
-1, 0
Let m(x) be the first derivative of -x**3/7 + 3*x/7 + 24. Solve m(d) = 0.
-1, 1
Let j = -48 + 52. Let 0*m**2 + 1/2*m**j + 0 + 0*m + 1/2*m**3 = 0. Calculate m.
-1, 0
Let d be 16/(5 - 1) - -16. Suppose 5*a + 25 = 2*h, -h - d = -6*h + 4*a. Find t such that -2/7*t + h*t**2 + 2/7*t**3 + 0 = 0.
-1, 0, 1
Suppose 10 + 5 = 3*a. Suppose -2*z + z = -a*g + 2, z + 5*g - 8 = 0. Suppose 0 - 15/2*w**z - 1/2*w - 7/2*w**2 - 13/2*w**4 - 2*w**5 = 0. Calculate w.
-1, -1/4, 0
Let y(g) be the first derivative of 9*g**4/4 + 4*g**3 - 39*g**2/2 + 18*g + 51. Suppose y(f) = 0. What is f?
-3, 2/3, 1
Let u(k) be the second derivative of -k**8/560 + k**7/140 - k**6/120 + k**3/3 - k. Let z(t) be the second derivative of u(t). Factor z(r).
-3*r**2*(r - 1)**2
Find b such that b**3 + 65*b**2 - 3*b**3 + 3*b**4 - 65*b**2 - b**5 = 0.
0, 1, 2
Let p(t) be the second derivative of 7/2*t**3 + 5/4*t**4 - 1/7*t**7 - 3/4*t**5 + 2*t + 0 + 3*t**2 - 7/10*t**6. Suppose p(v) = 0. Calculate v.
-2, -1, -1/2, 1
Factor 0*c**3 + 0*c - 3/4*c**4 + 0*c**2 + 0.
-3*c**4/4
Let n(a) = 2*a + a + 8 - 2*a. Let d be n(-6). Suppose -q**2 - 1 - d*q**3 + q - 2*q + 3*q**3 + 2 = 0. Calculate q.
-1, 1
Let -2/5*g**2 - 4/5 + 6/5*g = 0. What is g?
1, 2
Let g(h) be the first derivative of -2*h**3/3 + h**2 + 9. What is c in g(c) = 0?
0, 1
Let i = 22 + -19. Let x(m) be the first derivative of 3/2*m**2 - 2*m - 1/3*m**i - 2. What is j in x(j) = 0?
1, 2
Factor -1/4*w**2 + 0 - 1/2*w + 1/4*w**4 + 1/2*w**3.
w*(w - 1)*(w + 1)*(w + 2)/4
Suppose -d - 10 = -36. Let s(x) = x**3 + 7*x**2 + 6*x + 3. Let q(u) = -5*u**3 - 29*u**2 - 24*u - 13. Let n(c) = d*s(c) + 6*q(c). Determine m so that n(m) = 0.
-1, 0, 3
Let c be 1/(-4) - 9/(-4). Let f(i) = i**3 - 5*i**2 - i + 7. Let x be f(5). Determine h, given that 3*h**c - 3 + 3 + h + x*h = 0.
-1, 0
Let j(c) be the second derivative of -c**6/6 - 25*c**5/4 - 90*c**4 - 1760*c**3/3 - 1280*c**2 + c + 1. Factor j(z).
-5*(z + 1)*(z + 8)**3
Suppose -3*z + 5 - 22 = -4*l, 20 = 5*z + 3*l. Find o such that 1/2*o**3 - 1/2*o + 3/2*o**4 - 5/2*o**2 + z = 0.
-1, 2/3, 1
Let w(n) be the second derivative of -n**5/20 - n**4/4 - n**3/3 + 9*n. Suppose w(x) = 0. Calculate x.
-2, -1, 0
Factor 1/2*v**2 - 3/2*v**3 + 0 - 1/2*v**5 + 0*v + 3/2*v**4.
-v**2*(v - 1)**3/2
Let n(f) be the third derivative of -f**9/52920 + f**7/8820 + f**4/6 - 2*f**2. Let o(b) be the second derivative of n(b). Determine d so that o(d) = 0.
-1, 0, 1
Let m be 4/14 - (-24)/14. Factor -h**3 - 2*h + 3*h**2 + 2*h**4 - 2*h**m + 3*h**3 - 3*h**2.
2*h*(h - 1)*(h + 1)**2
Let 0*y**2 + 1/2*y**5 + 0 + 0*y + 1/2*y**3 - y**4 = 0. What is y?
0, 1
Factor 6/7*j - 3/7*j**2 - 3/7.
-3*(j - 1)**2/7
Let d(k) be the first derivative of -k**7/168 + k**6/40 - 3*k**5/80 + k**4/48 - 5*k - 6. Let p(o) be the first derivative of d(o). Factor p(m).
-m**2*(m - 1)**3/4
Let t(l) = 4*l**5 + 2*l**4 + 13*l**3 - 3*l**2 - 12*l - 9. Let h(r) = r**5 + r**3 - r**2 - r - 1. Let x(i) = -5*h(i) + t(i). Let x(c) = 0. Calculate c.
-1, 1, 4
Determine s so that 0*s**2 - s**5 + 0*s**2 + s**4 - 2*s**2 - s - s**3 + 1 + 3*s**3 = 0.
-1, 1
Factor 4/3*f**2 + 8/3 - 4*f.
4*(f - 2)*(f - 1)/3
Let i(b) = -5*b**2 - 9*b - 11. Let p(n) = -n**2 - 2*n - 2. Let l(j) = -2*i(j) + 11*p(j). Let l(d) = 0. What is d?
-4, 0
Factor 0 - 1/6*l - 1/6*l**2.
-l*(l + 1)/6
Let a(r) be the first derivative of -3*r**7/1400 - r**6/120 - r**5/100 + 2*r**3/3 + 2. Let k(j) be the third derivative of a(j). Factor k(f).
-3*f*(f + 1)*(3*f + 2)/5
Let l(u) = -u**3 + 4*u**2 - 2*u - 1. Let b be l(3). Factor -6*n + 5*n**2 - 2*n**b + 12*n**2.
3*n*(5*n - 2)
Let p(w) be the first derivative of 3*w**5/5 + w**4/4 - 5*w**3/3 - w**2/2 + 2*w + 2. Determine l so that p(l) = 0.
-1, 2/3, 1
Let k(s) = 2*s**2 - 7*s + 3. Let z = 2 - -1. Let v(c) = 2*c**2 - 8*c + 4. Let m(t) = z*v(t) - 4*k(t). Suppose m(p) = 0. What is p?
0, 2
Let c = -329/6 + 55. Factor 0 + c*g**2 + 0*g.
g**2/6
Suppose -2*b = -b - 4*r - 40, -3*b - r = -94. Find f, given that f + 17*f**2 + 14*f**4 + 3*f - f**2 + 6*f**2 + b*f**3 = 0.
-1, -2/7, 0
Factor -2*b + 11*b**5 - 6*b**5 - 4 + 20*b**2 - 16*b**4 - 8*b**3 + 5*b**5.
2*(b - 1)**3*(b + 1)*(5*b + 2)
Let i be ((-160)/(-48))/(4/2). Factor 0 - w**3 - i*w**2 - 2/3*w.
-w*(w + 1)*(3*w + 2)/3
Let k be ((-3)/4)/((525/80)/(-5)). Factor 2/7*y**2 + k*y**3 + 0 + 2/7*y**4 + 0*y