-f + 15. Let m be r(15). Let p(i) be the second derivative of 5/12*i**3 - 1/2*i**2 + 7/24*i**4 + m + 2*i. Factor p(k).
(k + 1)*(7*k - 2)/2
Let q(j) be the first derivative of -j**8/5880 + j**7/1470 - j**5/210 + j**4/84 + 2*j**3/3 + 1. Let m(h) be the third derivative of q(h). Factor m(t).
-2*(t - 1)**3*(t + 1)/7
Suppose 3*p + 12 = 45. Let f = p - 7. Determine t so that 1/4*t**3 - 1/4*t + 3/4*t**2 - 1/2 - 1/4*t**f = 0.
-1, 1, 2
Let j(d) be the third derivative of 1/100*d**6 + 1/1680*d**8 + 1/120*d**4 + 0*d**3 + 2/525*d**7 + 1/75*d**5 - 2*d**2 + 0*d + 0. Factor j(a).
a*(a + 1)**4/5
Let p(n) be the second derivative of -n**4/4 - 2*n**3 - 6*n**2 + 5*n. Factor p(i).
-3*(i + 2)**2
Let q = -119 - -121. Let m(z) be the third derivative of 1/75*z**5 - 4*z**q + 0*z + 1/60*z**4 + 0 + 0*z**3. Determine i so that m(i) = 0.
-1/2, 0
Let j = -157 + 269. Let p be 1/(-4) - (-316)/j. Factor -4/7 - 2*u**2 - p*u.
-2*(u + 1)*(7*u + 2)/7
Let g be 0 - ((-13)/4 - 6/(-24)). Let r be (-3)/20 + 4/10. Find v, given that 1/4*v**g - 1/4*v - 1/4*v**2 + r = 0.
-1, 1
Let o(b) be the second derivative of 1/36*b**4 - 1/60*b**5 + 0*b**2 + 0 + 0*b**3 + 2*b. Factor o(m).
-m**2*(m - 1)/3
Factor 2*b**3 + 10*b**2 + 0*b**3 + 6*b + 6*b**4 - 8*b**4.
-2*b*(b - 3)*(b + 1)**2
Determine r so that 6/7*r + 3/7*r**2 + 3/7 = 0.
-1
Let y(s) be the first derivative of -s**3/6 + 8. Let y(w) = 0. What is w?
0
Let c(t) be the third derivative of 0*t - 1/480*t**6 + 0 - 1/120*t**5 - 1/96*t**4 + 0*t**3 + 2*t**2. Suppose c(a) = 0. What is a?
-1, 0
Let z be 8 + (0/1)/(-3). Suppose -2*h = 2*h - z. Solve -a**4 + a**2 - 2*a**3 + a**2 - 3*a**h = 0.
-1, 0
Let g(o) be the second derivative of o**6/90 - 11*o**5/60 + o**4/4 + 11*o**3/18 - 5*o**2/3 + o. What is d in g(d) = 0?
-1, 1, 10
Let x(j) be the third derivative of j**6/30 + 11*j**5/15 + 4*j**4 - 24*j**3 + 3*j**2. Solve x(o) = 0 for o.
-6, 1
Let k(l) be the first derivative of -l**6/75 - l**5/25 - l**4/30 - l - 3. Let n(y) be the first derivative of k(y). Suppose n(h) = 0. Calculate h.
-1, 0
Let h(u) be the first derivative of 0*u + 0*u**2 - 1/6*u**6 + 2 + 1/5*u**5 + 1/4*u**4 - 1/3*u**3. Determine y so that h(y) = 0.
-1, 0, 1
Let o(q) be the third derivative of -q**8/168 + q**7/35 - q**6/20 + q**5/30 + 8*q**2. Find a, given that o(a) = 0.
0, 1
Let p be -4 + 273/45 + 2/(-3). Factor -p*b + 2/5 - 9/5*b**2.
-(b + 1)*(9*b - 2)/5
Let m(j) = 2*j**3 - 8*j**2 - 2*j + 8. Let u(d) be the third derivative of -d**6/120 + d**4/24 + 3*d**2. Let q(x) = m(x) - 2*u(x). Factor q(c).
4*(c - 2)*(c - 1)*(c + 1)
Let n = 3/68 + 7/34. Let m(k) be the second derivative of 1/3*k**3 - n*k**2 + 1/20*k**5 - 5/24*k**4 - 4*k + 0. Suppose m(w) = 0. Calculate w.
1/2, 1
Let j(i) be the third derivative of 5*i**2 - 1/120*i**5 + 0*i + 1/4*i**3 - 1/24*i**4 + 0. Factor j(q).
-(q - 1)*(q + 3)/2
Let q be (-24)/(-10) + (-10)/25. Let l be (-10 + 8)*(-2)/10. Factor l*o**4 - 2/5*o**3 - 4/5 - 6/5*o**2 + q*o.
2*(o - 1)**3*(o + 2)/5
Let c(o) be the first derivative of 9*o**5/20 - o**4/4 - o**3 - 9*o - 1. Let a(u) be the first derivative of c(u). Factor a(b).
3*b*(b - 1)*(3*b + 2)
Find c such that 2*c**2 + c**3 - 2*c**4 + c**4 + 0*c**4 = 0.
-1, 0, 2
Factor 2*l + l - 3*l + 6*l - 3*l**3 + 3*l**2.
-3*l*(l - 2)*(l + 1)
Let n = -84 - -339/4. Factor n*b + 1/2 + 1/4*b**2.
(b + 1)*(b + 2)/4
Let g be (1 - -5) + -2*1. Suppose 0 = -8*b + g*b. Factor 2/7*c**3 + b*c**2 + 0*c - 10/7*c**4 + 8/7*c**5 + 0.
2*c**3*(c - 1)*(4*c - 1)/7
Factor -10*q - q**3 - 4 + 19*q**2 - 27*q**2 - q**3.
-2*(q + 1)**2*(q + 2)
Let n(t) be the third derivative of -t**11/110880 - t**10/25200 - t**9/20160 - t**5/20 - 2*t**2. Let b(z) be the third derivative of n(z). Factor b(l).
-3*l**3*(l + 1)**2
Let v = 13 + -13. Let b(m) be the second derivative of -7/15*m**5 + 0*m**2 + 49/90*m**6 + 1/9*m**4 + 0*m**3 + v - m. Find t, given that b(t) = 0.
0, 2/7
Let o(c) be the third derivative of -c**7/210 - c**6/45 + c**5/30 + c**4/3 + 2*c**3/3 - c**2. Let f(s) be the first derivative of o(s). Let f(n) = 0. What is n?
-2, -1, 1
Determine z so that 16/7*z**2 + 4/7*z**3 + 20/7*z + 8/7 = 0.
-2, -1
Suppose -2*f = 4*j + 44, 0*j + 3*j = 2*f - 26. Let d = j + 51/5. Factor 0*x**2 + 2/5*x**3 + 1/5*x**4 - d - 2/5*x.
(x - 1)*(x + 1)**3/5
Factor -7/4*t**2 + 3/4*t**3 + 5/4*t - 1/4.
(t - 1)**2*(3*t - 1)/4
Let z be (3/30)/(33/5). Let x = 139/462 - z. Factor -2/7*v**4 + 2/7*v**2 - 2/7*v + 0 + x*v**3.
-2*v*(v - 1)**2*(v + 1)/7
Let j(t) be the second derivative of 2*t + 9/10*t**5 + 1/3*t**4 + 7/15*t**6 + 0*t**2 + 0*t**3 + 0. Suppose j(y) = 0. Calculate y.
-1, -2/7, 0
Let b(t) = t**3 - 5*t**2 + 2. Suppose -m - m = -10. Let p be b(m). Factor -2*n**2 + 5*n**2 - n - n - n**p.
2*n*(n - 1)
Let n(r) be the first derivative of -2 + 1/4*r**4 - 1/3*r**3 + 0*r**2 + 1/5*r**5 + 0*r - 1/6*r**6. Factor n(q).
-q**2*(q - 1)**2*(q + 1)
Factor -q**2 + q + 2*q**2 - 2*q**2 - q**3 + 1.
-(q - 1)*(q + 1)**2
Suppose -5*i + 6*p - 8*p = -13, 4*i = -2*p + 10. Factor 1/3*k**2 - 1/3*k**i + 1/3*k - 1/3.
-(k - 1)**2*(k + 1)/3
Suppose -4*h = -52 + 8. Let q(v) = 2*v**2 - 16*v - 7. Let r(g) = g**2 - 5*g - 2. Let u(p) = h*r(p) - 4*q(p). Factor u(o).
3*(o + 1)*(o + 2)
Suppose 0 = c + 2 - 7. Suppose -3*l - n + 2*n = -15, -c*l + 5*n = -25. Determine h so that 5*h**3 + l*h**3 - 4*h**4 - 6*h**5 - 4*h + 2*h**2 + 2*h**4 = 0.
-1, 0, 2/3, 1
Determine y, given that -16 - 31*y**2 - 4*y**2 + 120*y - 4 - 40*y = 0.
2/7, 2
Let x be (-4)/3*3*-1. Let u be (-15)/(-10) + 2/x. Factor -4/5*n**u - 1/5*n + 2/5 + 3/5*n**3.
(n - 1)**2*(3*n + 2)/5
Let i = 1/41 + 36/205. Let 0 + 0*p**3 + 3/5*p**2 + 2/5*p - i*p**4 = 0. What is p?
-1, 0, 2
Factor 8/3*m + 2/3*m**2 + 2.
2*(m + 1)*(m + 3)/3
Let w be 2/(-4) - 9/(-2). Let c be w/2*(-2 - -3). Let -3*h**3 + h**4 - c*h + 4*h + h**3 - 1 = 0. Calculate h.
-1, 1
Let k = 11 - 7. Let q be ((1 - 2) + 2)*3. Let q*s + 2*s**k + s**2 + s**5 - 4*s - 3*s**2 = 0. Calculate s.
-1, 0, 1
Let z(x) = 11*x**5 - 17*x**4 - x**3 + 12*x**2 - 5. Let l(v) = 5*v**5 - 8*v**4 - v**3 + 6*v**2 - 2. Let a(i) = 5*l(i) - 2*z(i). Determine m, given that a(m) = 0.
-1, 0, 1, 2
Let r(o) be the first derivative of -o**4/4 + o**3 + 11. Factor r(u).
-u**2*(u - 3)
Let y(m) be the first derivative of -m**6/180 + m**4/12 + 2*m**3/9 + m**2/2 + 2. Let k(s) be the second derivative of y(s). Factor k(a).
-2*(a - 2)*(a + 1)**2/3
Suppose 1/6*m**5 + 1/2*m**4 - 1/3*m**3 + 1/6*m + 1/2 - m**2 = 0. Calculate m.
-3, -1, 1
Let t = 25 + -16. Suppose w = 4*w - t. Determine b, given that -6/7*b**w + 0 + 0*b + 4/7*b**2 = 0.
0, 2/3
Let h(u) = 6*u**4 + 45*u**3 + 291*u**2 + 771*u + 771. Let l(b) = -11*b**4 - 91*b**3 - 581*b**2 - 1541*b - 1541. Let g(q) = -5*h(q) - 3*l(q). Factor g(y).
3*(y + 4)**4
Let -1/3*g**2 + 0*g + 0 + 1/6*g**3 = 0. Calculate g.
0, 2
Let x = -27 - -29. Let i be 0*(0 + 1/x). Factor -2/7*f**2 + i - 2/7*f**3 + 4/7*f.
-2*f*(f - 1)*(f + 2)/7
Let i(h) be the third derivative of h**7/105 + h**6/60 - h**5/5 - h**4/3 + 8*h**3/3 - h**2 - 2. Factor i(b).
2*(b - 2)*(b - 1)*(b + 2)**2
Let j(f) be the third derivative of -2*f**7/735 + f**6/105 + f**5/105 - f**4/21 + 2*f**2. Determine h so that j(h) = 0.
-1, 0, 1, 2
What is o in -1/6*o + 0*o**2 + 0 + 1/6*o**3 = 0?
-1, 0, 1
Factor -4/7*a**2 + 0*a**3 - 2/7*a + 0 + 2/7*a**5 + 4/7*a**4.
2*a*(a - 1)*(a + 1)**3/7
Let k(h) = -h**3 + 3*h**2 + 2*h - 4. Let f be k(3). Let u(l) be the first derivative of 0*l**f + 0*l + 0*l**3 + 1/12*l**4 - 2. Find o such that u(o) = 0.
0
Suppose 0 = -z + 5*b + 22, 4*z + 4*b + 18 = 5*z. Determine o, given that 1/2*o + o**z + 0 + 1/2*o**3 = 0.
-1, 0
Let s(b) be the first derivative of b**5/90 - b**4/36 + b**2/2 - 3. Let j(g) be the second derivative of s(g). Factor j(c).
2*c*(c - 1)/3
What is r in 0*r + 1/9*r**2 + 1/9*r**4 + 0 - 2/9*r**3 = 0?
0, 1
Let o(y) be the second derivative of y**5/80 - 3*y**4/16 + y**3 - 2*y**2 + 10*y. Determine v, given that o(v) = 0.
1, 4
Let r(u) = -8*u**4 + 7*u**3 - 7*u**2 - 7*u - 7. Let k(i) = 7*i**4 - 6*i**3 + 6*i**2 + 6*i + 6. Let g(l) = 7*k(l) + 6*r(l). Solve g(m) = 0.
0
Let 3/4 + 3/4*g**2 + 3/2*g = 0. What is g?
-1
Let b(p) be the third derivative of -p**7/175 - p**6/300 + p**5/75 + 17*p**2. Let b(l) = 0. What is l?
-1, 0, 2/3
Let k be -16 + 12 + 61/15. Let o(v) be the third derivative of 0*v - v**2 - 1/20*v**4 + 0 - k*v**3 - 1/50*v**5 - 1/300*v*