rst derivative of -4/11*j + 1 - 2/33*j**3 - 3/11*j**2. Factor l(a).
-2*(a + 1)*(a + 2)/11
Let o(c) be the first derivative of 1 + 1/4*c**2 - 1/12*c**3 - 1/4*c. Factor o(w).
-(w - 1)**2/4
Factor -50/9*m**2 - 40/9*m - 8/9.
-2*(5*m + 2)**2/9
Factor 3/2 + 1/4*i**3 - i**2 + 1/4*i.
(i - 3)*(i - 2)*(i + 1)/4
Suppose 15 = 5*a - 5*y, 11 + 11 = 5*a + 2*y. Factor 72/5*u**2 - 4*u - 108/5*u**3 + 54/5*u**a + 2/5.
2*(u - 1)*(3*u - 1)**3/5
Suppose -4*f + 12 - 4 = 0. Suppose -4*r = -f*r - 2*j - 8, r + j = 4. What is p in p**3 + 0 - 3 - p + 1 + r*p**2 - 2*p**2 = 0?
-2, -1, 1
Let k(w) be the first derivative of -w**6/540 + w**5/90 + 8*w**3/3 + 1. Let t(x) be the third derivative of k(x). Factor t(f).
-2*f*(f - 2)/3
Let u be (24/4)/(-1 + 3). Let 0*j**u + j**3 - 2*j + j = 0. Calculate j.
-1, 0, 1
Let 0*r**4 + 0*r**2 + 0*r + 0 + 2/9*r**5 - 2/9*r**3 = 0. Calculate r.
-1, 0, 1
Let p(j) = j - 2. Let f be p(7). Suppose 7 = 2*q - f. Let -1 - 3 + q*l**4 - 6*l + 4*l**3 - 4*l**2 + 2 + 2*l**5 = 0. What is l?
-1, 1
Suppose 0 = -m + 4*m - 12. Suppose 4*w + 1 + 4*w**3 + 7*w**2 + 4*w**4 - w**2 - 3*w**m = 0. Calculate w.
-1
Let h(r) = -2*r**3 - r. Let c be h(-1). Factor -1 - c*a**3 + 3 - 2*a + 2*a**3 + 5*a.
-(a - 2)*(a + 1)**2
Factor -1/5*h**2 - 2/5*h + 0.
-h*(h + 2)/5
Let c(f) = -2*f**3 - 4*f**2 - 6*f + 6. Let i(k) = 2*k + 3*k**2 + 5 - 7*k + 2*k**3 - 6*k**2 - 4*k**3. Let t(d) = 5*c(d) - 6*i(d). Solve t(b) = 0.
0, 1
Let x(r) = 26*r. Let g be x(2). Let k be 86/52 + (-8)/g. Factor k*v**2 + 0 + v.
v*(3*v + 2)/2
Suppose 0 = o + 4*w - 142, 0 = -5*o - 2*w - 146 + 784. Factor -10*p**3 + 60*p - o*p**2 + 59*p**3 - 18 + 10.
(p - 2)*(7*p - 2)**2
Let o(d) = 7*d**3 - 2*d**2 + 7*d. Let x(c) = 15*c**3 - 3*c**2 + 15*c. Let m(p) = 9*o(p) - 4*x(p). What is u in m(u) = 0?
0, 1
Let f(u) be the first derivative of u**6/3 + 4*u**5/5 - 5*u**4/2 - 20*u**3/3 + 4*u**2 + 16*u + 17. Suppose f(y) = 0. What is y?
-2, -1, 1, 2
Let z(g) be the first derivative of 1/7*g**2 - 2/21*g**3 + 0*g - 1. Find c, given that z(c) = 0.
0, 1
Let i be (40/15)/(2/3). Let v be 2/i - (-2)/12. Factor 2/3*x + 2/3 - 2/3*x**2 - v*x**3.
-2*(x - 1)*(x + 1)**2/3
Suppose -2*m + t = -5, 3 = -2*m - t + 6. Let i(s) be the first derivative of 1 + 0*s - s**m + 2/3*s**3. Factor i(j).
2*j*(j - 1)
Let j(g) be the third derivative of -g**8/100800 + g**7/25200 + g**5/30 + 3*g**2. Let y(u) be the third derivative of j(u). Solve y(n) = 0 for n.
0, 1
Let b be (-6)/15 - (-128)/20. Let r = b - 3. Suppose -6*d**3 + 11*d**3 - 4*d**r - 2*d**2 = 0. What is d?
0, 2
Let a(r) be the first derivative of r**4/60 + r**3/30 - r**2/5 + 2*r - 5. Let m(g) be the first derivative of a(g). What is v in m(v) = 0?
-2, 1
Let y = -25 + 25. Factor 0 + y*j**2 - 2/9*j**3 + 2/9*j.
-2*j*(j - 1)*(j + 1)/9
Let h be 1 - (26/(-8) - (-3)/12). Find x such that -2/7*x**2 + 0*x - 2/7*x**h - 4/7*x**3 + 0 = 0.
-1, 0
Let z be -2*3*(-2)/4. Let f = 6 - z. Factor -10/3*s**4 + 0*s**2 + 0 + 0*s - 4/3*s**f.
-2*s**3*(5*s + 2)/3
Let l = -147 - -149. Let n(y) be the second derivative of -1/60*y**6 + 0 + 1/40*y**5 - 1/12*y**3 + 0*y**l + 1/24*y**4 + 3*y. Find o such that n(o) = 0.
-1, 0, 1
Let n(w) = -w + 9. Let x be n(9). Let o(d) be the second derivative of d + 0*d**3 + 0*d**5 + 1/135*d**6 + 0 - 1/54*d**4 + x*d**2. Factor o(b).
2*b**2*(b - 1)*(b + 1)/9
Let v(n) be the third derivative of n**5/30 - n**4/3 - 5*n**3/3 - 3*n**2. Let x(j) = -2*j**2 + 7*j + 9. Let l(p) = 5*v(p) + 6*x(p). Factor l(f).
-2*(f - 2)*(f + 1)
Suppose 3*s - 9 = -2*p, -p + 2*s - 22 = -5*p. Find m such that -10*m + p*m**2 + 3*m**5 - 9*m**3 + 0*m**5 + 10*m = 0.
-2, 0, 1
Suppose -3*j - 10 = 4*x, 0*x = 2*x + 5*j + 12. Let w be -1 + (-4)/x + -3. Factor -8/5*c**4 + w*c + 8/5*c**3 + 0 - 2/5*c**2.
-2*c**2*(2*c - 1)**2/5
Let l(r) be the third derivative of -r**7/1680 + r**6/480 + 4*r**2. Factor l(h).
-h**3*(h - 2)/8
Suppose -2*x = -2*s + 4 - 0, 4*s - 14 = 2*x. Let f(z) = -2*z**3 - 2*z - 2. Let u be f(-1). Factor -3/2*n**u + 3/2*n**4 - 3/2*n + 3/2*n**x + 0.
3*n*(n - 1)*(n + 1)**2/2
Suppose 0 = 3*l - 8 + 2. Factor -1 + 1/2*k**l - 1/2*k.
(k - 2)*(k + 1)/2
Factor 0*k + 0 + 2/3*k**2 + 2/3*k**3 + 1/6*k**4.
k**2*(k + 2)**2/6
Find h, given that -36*h**3 + 15*h**3 - h**5 + 21*h**3 - h**4 = 0.
-1, 0
Let z(o) be the second derivative of o**4/42 - o**3/21 + 14*o. Suppose z(p) = 0. What is p?
0, 1
Let o = 6 + 0. Let j(c) be the third derivative of -1/75*c**5 + 0*c - 3*c**2 + 1/300*c**o + 0 + 1/60*c**4 + 0*c**3. Solve j(h) = 0 for h.
0, 1
Let w be (-1*8/(-28))/20. Let z(g) be the third derivative of 3*g**2 + 0*g + 0 - 1/10*g**5 + 0*g**4 + 1/2*g**3 + w*g**7 + 0*g**6. Factor z(r).
3*(r - 1)**2*(r + 1)**2
Let d(j) be the second derivative of j**4/12 + 2*j**3/3 + 3*j**2/2 - 31*j. Factor d(g).
(g + 1)*(g + 3)
Determine o, given that -3/7*o - 3/7*o**3 + 6/7*o**2 + 0 = 0.
0, 1
Let n(w) = w**2 + 1. Let r(b) = -2*b**3 - 3*b**2 + 2*b - 7. Let p(o) = -5*n(o) - r(o). Find f such that p(f) = 0.
-1, 1
Suppose 2*b + 1 = -9. Let t(m) = -m**3 - 4*m**2 + 3*m - 7. Let g be t(b). Suppose 3/4*d**5 + 0 - 3/2*d**2 + g*d**3 - 5/2*d**4 + 1/4*d = 0. Calculate d.
0, 1/3, 1
Let z = 2/61 - -37/732. Let m(d) be the first derivative of 2 + 1/16*d**4 - 1/8*d**2 - 1/20*d**5 + z*d**3 + 0*d. Factor m(i).
-i*(i - 1)**2*(i + 1)/4
Let i = 97051/13020 + -231/31. Let f(m) be the third derivative of -3*m**2 + 1/240*m**5 + 0*m**4 + 0*m + 1/160*m**6 + i*m**7 + 0*m**3 + 0. Factor f(w).
w**2*(w + 1)*(2*w + 1)/4
Let n(w) be the first derivative of -w**4/32 + 5*w**3/24 + w**2/16 - 5*w/8 - 13. Factor n(h).
-(h - 5)*(h - 1)*(h + 1)/8
Let f = -10/7 - -104/63. Let -2/9*i**2 + 0*i + f = 0. What is i?
-1, 1
Let m be 30/(-10) + (-1)/2. Let c = m + 25/6. What is w in 0*w**3 + 2/3 + c*w**4 + 0*w - 4/3*w**2 = 0?
-1, 1
Let m(t) be the first derivative of t**4/8 + 5*t**3/8 + 3*t**2/4 + 9*t + 4. Let w(o) be the first derivative of m(o). Suppose w(d) = 0. Calculate d.
-2, -1/2
Let i(x) = 5*x**4 + 30*x**3 + 41*x**2 + 20*x - 4. Let r(m) = -55*m**4 - 330*m**3 - 450*m**2 - 220*m + 45. Let s(a) = -45*i(a) - 4*r(a). Factor s(q).
-5*q*(q + 1)**2*(q + 4)
Let c = 224 - 362. Let p be 4/10 + c/(-30). Factor -h**3 + 7*h**3 - 2*h**2 - 6*h**4 + 2*h**p + 0*h**4.
2*h**2*(h - 1)**3
Let b(g) be the first derivative of -g**4/10 - 4*g**3/15 - g**2/5 + 4. Find t, given that b(t) = 0.
-1, 0
Let h(p) = 6*p**2 + 12*p - 9. Let z(y) = -13*y**2 - 24*y + 19. Let q(c) = c + 2. Let u be q(-5). Let d(j) = u*z(j) - 5*h(j). Factor d(i).
3*(i + 2)*(3*i - 2)
Let q(n) be the first derivative of 3*n**4/4 + 5*n**3/3 - 13*n**2 + 8*n - 5. Solve q(g) = 0 for g.
-4, 1/3, 2
Let q(y) be the third derivative of -y**7/1470 - 3*y**6/280 - y**5/28 + 25*y**4/168 + 8*y**2. Suppose q(o) = 0. Calculate o.
-5, 0, 1
Factor 5/4*x**2 + 3/4 - 1/4*x**3 - 7/4*x.
-(x - 3)*(x - 1)**2/4
Solve 5/4*d**2 + 5/4*d - 5/4*d**3 + 0 - 5/4*d**4 = 0 for d.
-1, 0, 1
Let l(x) be the third derivative of x**8/840 + x**7/175 + x**6/100 + x**5/150 + x**2. Find h, given that l(h) = 0.
-1, 0
Let r = 3 + -3. Suppose r = -5*i - 4 + 14. Solve q**2 - 4*q**2 - i*q + q**2 + 0*q = 0.
-1, 0
Let k = 12 - 8. Suppose -2*q**4 - 2*q**5 + 0*q**k + 4*q**5 = 0. What is q?
0, 1
Let p = 262/273 + -4/39. Let -2/7 - p*l - 6/7*l**2 - 2/7*l**3 = 0. What is l?
-1
Factor 5*j - 7*j - 2*j**2 + 0*j + 2*j**3 + 2.
2*(j - 1)**2*(j + 1)
Let j(n) = -2*n**2 + 10*n. Let r(p) = p**2 - 3*p. Let q(w) = 5*j(w) + 14*r(w). Solve q(m) = 0.
-2, 0
Suppose 3*r - 18 = 4*t, -r - 3*t - 3 - 4 = 0. Suppose -6*f + r*f = -8. Factor 2*c**3 - c**3 - 2*c + 2*c**3 - c**f.
c*(c - 1)*(3*c + 2)
Let j be (-20)/(-56)*(-12)/(-15). Factor -2/7*t**2 + 0 + 0*t + j*t**3.
2*t**2*(t - 1)/7
Suppose 18*z - 13*z = 20. Suppose -8/3*u + 26/9*u**2 + 2/9*u**z + 8/9 - 4/3*u**3 = 0. Calculate u.
1, 2
Let o be ((16/(-28))/2)/(-1). Suppose 0 = -2*k - 2*i + 2, 0*k + 3*i = -k - 1. Determine y so that -o*y**k + 4/7*y - 2/7 = 0.
1
Let w(v) = v**2 + 3*v - 4. Let y be w(4). Let i = y + -22. Factor 9/4*k - 3/2 - 3/4*k**i.
-3*(k - 2)*(k - 1)/4
Let h(s) be the first derivative of -s**4/78 - s - 3. Let b(y) be the first derivative of h(y). Suppose b(x) = 0. Calculate x.
0
Let n(p) = -p**3 - p**2 + 4*p + 2. Let w(k) = k**2 + 4*k + 1. Let f be w(-2). Let h be n(f). Find x, given that x**2 - 8*x + h*x = 0.
0
Let g(t) = 4*t**2 - t - 3. Let d(q) = -9*q**2 + 2*q + 7. Let c(m