derivative of 64*u**6/75 - 152*u**5/25 + 457*u**4/30 - 76*u**3/5 + 36*u**2/5 - 4*u. Factor k(r).
2*(r - 2)**2*(8*r - 3)**2/5
Let q(i) be the first derivative of i**6/9 - 2*i**5/15 - i**4/3 - 4. Factor q(j).
2*j**3*(j - 2)*(j + 1)/3
Let w(l) be the second derivative of 5*l**4/4 + 35*l**3/6 - 15*l**2 + 16*l. Let w(g) = 0. What is g?
-3, 2/3
Let a(k) = k**3 - 5*k**2 + 4*k + 2. Let d be a(4). Suppose -3*v = d*v - 25. What is g in 0*g**3 + g**4 - 2*g**2 - g**3 + g**v + g**2 = 0?
-1, 0, 1
Solve -3/5*x**3 + 0 + 0*x**2 + 3/5*x = 0.
-1, 0, 1
Let l(n) = -7*n**2 - 9*n. Let j be (-12)/(-8) + 1/2. Let h(m) = -4*m**2 + 2*m + 7*m**j + 2*m. Let s(z) = 5*h(z) + 2*l(z). Factor s(f).
f*(f + 2)
Let c(z) = z**3 - 3*z**2 + 3*z. Let p be c(2). Let g(x) be the third derivative of 0 + 0*x**4 + 0*x + 1/120*x**5 + x**p + 0*x**3 - 1/240*x**6. Factor g(b).
-b**2*(b - 1)/2
Let k = 154 + -149. What is s in -2/3*s - 2/3*s**3 + 0 + 4/3*s**k + 2*s**2 - 2*s**4 = 0?
-1, 0, 1/2, 1
Suppose 0 = -0*d - 2*d - 4*f, -2*f + 2 = 2*d. Factor -2*o + d*o**2 - o**2 + 4*o + 0*o + 1.
(o + 1)**2
Let c(k) be the second derivative of -k**8/5040 + k**7/504 - k**6/135 + k**5/90 - k**3/2 + 2*k. Let x(l) be the second derivative of c(l). Factor x(h).
-h*(h - 2)**2*(h - 1)/3
Let w(o) = -o**2 + 9*o - 20. Let j be w(5). Let m(y) be the first derivative of 2 - 1/4*y**3 + 1/16*y**4 + j*y + 0*y**2. Find r such that m(r) = 0.
0, 3
Suppose -1 = 5*s - 2*x - 2*x, 0 = -4*s + 2*x + 4. Suppose 0*l**2 + 4/5 + 6/5*l - 2/5*l**s = 0. Calculate l.
-1, 2
Factor -14/9*x**2 + 2/9*x**5 - 10/9*x**4 + 4/9*x + 2*x**3 + 0.
2*x*(x - 2)*(x - 1)**3/9
Let k(b) = -b**2 - 1. Let x(q) = 2*q**4 + 2*q**3 - 9*q**2 - 5. Let p be 10*(1/2 - 1). Let d(y) = p*k(y) + x(y). Factor d(z).
2*z**2*(z - 1)*(z + 2)
What is d in 2*d**2 + 5*d + 0*d - 4*d**2 - d = 0?
0, 2
Let b(i) be the second derivative of i**4/54 + 2*i**3/27 + i**2/9 + 14*i. Suppose b(z) = 0. What is z?
-1
Suppose 0 = 12*i + 3*i. Solve -2/3*v**3 + 0 + i*v**2 - 2/3*v**4 + 0*v = 0.
-1, 0
Let d(r) be the third derivative of r**8/100800 + r**7/8400 + r**6/1800 - 7*r**5/60 - 7*r**2. Let j(g) be the third derivative of d(g). Factor j(k).
(k + 1)*(k + 2)/5
What is a in -29*a**3 - 35/2*a**4 - 19/2*a - 25/6*a**5 - 3/2 - 71/3*a**2 = 0?
-1, -3/5
Suppose -2*s + 8 = -0*s. Suppose j - s*j = -6. Factor 5/4*i**4 + 4*i**3 + i**j + 0*i + 0 - 25/4*i**5.
-i**2*(i - 1)*(5*i + 2)**2/4
Let b(m) = m**2 - m - 1. Let f be b(1). Let s be (-96)/(-45) + f/3. Factor -3/5*x**2 + s*x - 6/5.
-3*(x - 2)*(x - 1)/5
Let y = 12 - 10. Let l be (-2)/(-4) + y/(-12). Factor 1/3*a + 1/3*a**2 - l*a**3 - 1/3.
-(a - 1)**2*(a + 1)/3
Let c(g) be the first derivative of g**6/120 + g**5/12 + 7*g**4/24 + g**3/2 + 2*g**2 - 3. Let y(s) be the second derivative of c(s). Factor y(t).
(t + 1)**2*(t + 3)
Let z(m) = -8*m**3 - 41*m**2 - 24*m + 9. Let i(s) = s**3 + 5*s**2 + 3*s - 1. Let j(o) = 51*i(o) + 6*z(o). Factor j(h).
3*(h + 1)**3
Let x(r) be the first derivative of -r**9/2520 + r**8/600 - r**7/420 + r**6/900 + 5*r**3/3 + 1. Let d(j) be the third derivative of x(j). Factor d(w).
-2*w**2*(w - 1)**2*(3*w - 1)/5
Let i(u) be the first derivative of -u**3/6 - u**2 - 3*u/2 - 14. Let i(z) = 0. What is z?
-3, -1
Suppose 0*q + 90 = 3*q. Let a be 28/q + (-9)/15. Factor a*r**3 + 1/3 + r + r**2.
(r + 1)**3/3
Suppose 70 = 48*i - 122. Factor -10/7*p**2 + 0 - 4/7*p + 2/7*p**i + 2/7*p**5 - 6/7*p**3.
2*p*(p - 2)*(p + 1)**3/7
Determine p, given that -16*p**2 + 32*p**2 - 4*p**3 + 4*p**2 = 0.
0, 5
Let q be (-2 - -1)/(2/(-4)). Suppose -q = -4*a + 2*s, 3*a - 5*s + 3*s = 0. Suppose -g - 1/2 - 1/2*g**a = 0. Calculate g.
-1
Suppose 5*m = q + 18, 2*m + 2*q = -2*m + 6. Solve -2*w**3 - w**2 - w**5 - 3*w**4 + w**m - 2*w**3 = 0.
-1, 0
Let j(a) be the first derivative of -2/15*a**5 + 0*a + 1/9*a**4 + 0*a**2 - 7 + 2/27*a**3. Suppose j(f) = 0. Calculate f.
-1/3, 0, 1
Factor -3*r**4 - 6 - 6 + 9*r**2 + r**3 + 12*r - 7*r**3.
-3*(r - 1)**2*(r + 2)**2
Let m be (-2)/6*6/(-10). Let n(v) be the first derivative of 2/15*v**3 + 0*v - m*v**4 + 2 + 0*v**2 + 2/25*v**5. Factor n(h).
2*h**2*(h - 1)**2/5
Suppose 0*r**2 - 2/7*r + 0 + 2/7*r**3 = 0. Calculate r.
-1, 0, 1
Suppose 5*v + 4 = 14. Suppose -3*q + 17 = -i - i, -q + 5*i = -23. Factor 0 - 9/4*w**q - w**5 + 1/4*w - 1/4*w**v - 11/4*w**4.
-w*(w + 1)**3*(4*w - 1)/4
Let g = -1/13 + 16/39. Let f(h) be the third derivative of -1/12*h**5 + 0*h - 2*h**2 + 7/24*h**4 - g*h**3 + 0. Factor f(d).
-(d - 1)*(5*d - 2)
Let t(g) be the second derivative of g**8/168 + 4*g**7/105 + g**6/10 + 2*g**5/15 + g**4/12 + g**2 + 4*g. Let q(f) be the first derivative of t(f). Factor q(a).
2*a*(a + 1)**4
Let v = -75 - -77. Determine m, given that -1/2 + m - 1/2*m**v = 0.
1
Solve -2*s**3 + 9 + 3*s**3 - 5*s**2 + 3*s + 0*s**3 = 0 for s.
-1, 3
Suppose 4*z - 18 - 10 = -v, v - z = 38. Let m = v + -107/3. Factor m*u**2 + u + 2/3.
(u + 1)*(u + 2)/3
Let z(a) be the first derivative of 0*a**4 + 5 + 0*a**3 - 2/55*a**5 + 0*a**2 + 0*a. Find q, given that z(q) = 0.
0
Let n(l) be the second derivative of -l**4/12 + l**3/6 - 29*l. Find u such that n(u) = 0.
0, 1
Suppose r - 5*p = -0*r + 7, -2*r = 4*p. Factor -r*i**3 - 16*i**3 + 26*i**3 - 28*i**4.
-4*i**3*(7*i - 2)
Let v be (-238)/(-56) - (5 - 1). Suppose -3/4*w**4 - v*w**2 + 0*w + 0 - 3/4*w**3 - 1/4*w**5 = 0. What is w?
-1, 0
What is q in -8/9*q**2 + 0 + 2/3*q**3 - 2/9*q**5 - 8/9*q + 4/9*q**4 = 0?
-1, 0, 2
Let n(d) = -d**3 - 6*d**2 - d - 6. Let x be n(-6). Let b(r) be the first derivative of 0*r**3 - 1 + 0*r + 0*r**5 + x*r**2 + 1/6*r**6 - 1/4*r**4. Factor b(h).
h**3*(h - 1)*(h + 1)
Suppose -4 = 3*z - 5*z. Factor -4*b**4 + b - 7*b**5 - 2*b**z + 3*b**5 - 7*b**4 + b**2 - 9*b**3.
-b*(b + 1)**3*(4*b - 1)
Let f(j) = -j - 1. Let p(w) = -3 - 6*w - w + w**2 + 5*w. Suppose -5*n = -7*n - 8. Let k(s) = n*f(s) + 2*p(s). Determine v so that k(v) = 0.
-1, 1
Let y be (-2)/8 - (-12)/45. Let d(z) be the third derivative of -1/30*z**5 + 0*z**4 + 0*z + z**2 + 0*z**3 + y*z**6 + 0. Find m, given that d(m) = 0.
0, 1
Let p(t) be the second derivative of -1/48*t**4 - 2*t - 1/8*t**2 + 1/12*t**3 + 0. Let p(g) = 0. What is g?
1
Let r be (0/(-2))/(7 + -8). What is y in 0*y**4 + y + y**3 - 2*y**3 + y**4 - y**2 + r*y**2 = 0?
-1, 0, 1
Let r(w) be the third derivative of -w**7/1050 + w**6/150 - w**5/50 + w**4/30 - w**3/30 - w**2. Determine o so that r(o) = 0.
1
Let o(h) = h**2 - h - 1. Let u(t) = 10*t**2. Let c be 4 + (-3 - -2)*3. Let b(w) = c*u(w) - 8*o(w). Factor b(q).
2*(q + 2)**2
Let x(y) be the first derivative of y**4/4 + y**3 - 13. Solve x(i) = 0.
-3, 0
Suppose 5*a - 3*a = 0. Let w(q) be the first derivative of 3/14*q**4 + 1/7*q**2 + a*q - 2/35*q**5 - 2/7*q**3 + 1. Let w(o) = 0. What is o?
0, 1
Let b = -425 - -2981/7. Find v such that -b*v + 2/7*v**3 - 4/7 + 0*v**2 = 0.
-1, 2
Let j = 146 - 144. Let z(x) be the third derivative of 0 + 0*x**5 - 1/180*x**6 + 0*x - 2/9*x**3 - 3*x**j + 1/12*x**4. Let z(d) = 0. What is d?
-2, 1
Let p(m) = -12*m**3 + 2*m + 11*m**3 - m**2 - 1 - m. Let j(y) = y**4 - 6*y**3 - 6*y**2 + 6*y - 6. Let s(f) = -j(f) + 6*p(f). Determine w so that s(w) = 0.
0
Let l(w) be the third derivative of 1/16*w**4 + 0 - 1/240*w**5 - 3/8*w**3 + 0*w - 2*w**2. Factor l(u).
-(u - 3)**2/4
Let o(n) be the third derivative of -2*n**7/105 + n**6/15 + n**5/15 - n**4/3 + 32*n**2. Solve o(t) = 0.
-1, 0, 1, 2
Suppose 2 = 2*t - t. Suppose t*v = 5*v. What is i in -2/5 + v*i + 2/5*i**2 = 0?
-1, 1
Let g(c) be the third derivative of 5*c**2 + 0 + 1/60*c**6 - 1/24*c**4 + 1/210*c**7 + 1/6*c**3 - 1/30*c**5 + 0*c - 1/336*c**8. Suppose g(n) = 0. What is n?
-1, 1
Let j = -150/71 - -14913/6958. Let s = 383/294 + j. Find n such that n**4 + 0 + 0*n + 8/3*n**3 - 3*n**5 - s*n**2 = 0.
-1, 0, 2/3
Let j(m) be the second derivative of 0*m**2 + 5*m + 2/15*m**6 + 0*m**3 + 0*m**4 + 0 - 1/5*m**5. What is f in j(f) = 0?
0, 1
Let c(x) = -3*x**4 - x**3 + 6*x**2 + 6*x + 2. Let a(n) = n**2 + n. Let t(y) = 12*a(y) + 4*c(y). What is m in t(m) = 0?
-1, -1/3, 2
Let p = 20 + 6. Suppose -5*o + 2*c = -p, -3*o - 3*c - 1 = -o. Let 2*h**2 + 4*h + 0*h**2 - o + h**2 = 0. Calculate h.
-2, 2/3
Suppose -3*s - 8 = -17. Let y(i) be the second derivative of 1/4*i**s - 2*i + 1/2*i**2 + 1/24*i**4 + 0. Solve y(f) = 0.
-2, -1
Suppose 14*u - 16 = 12. Factor -40/7*q - 2*q**3 - 46/7*q**u - 8/7.
-2*(q + 1