+ 4/3*p**2 + 0 + 14/3*p**3.
2*p**2*(p + 1)*(5*p + 2)/3
Let b be -6*(-12)/(-168) - (-34)/14. Let u(l) be the first derivative of -6 + 2*l**b - 1/3*l**3 - 4*l. Let u(j) = 0. What is j?
2
Let y(r) be the second derivative of r**4/4 + 7*r**3/6 + r**2 + 59*r + 1. Factor y(h).
(h + 2)*(3*h + 1)
Let x(l) be the first derivative of 2*l**3/3 + 6*l**2 + 18*l - 11. Factor x(c).
2*(c + 3)**2
Let q(c) be the first derivative of c**5 - 5*c**4/2 - 80*c**3/3 + 80*c**2 - 249. Factor q(m).
5*m*(m - 4)*(m - 2)*(m + 4)
Factor -12*h**2 - 96/5*h + 20*h**3 + 64/5.
4*(h + 1)*(5*h - 4)**2/5
Solve 213/4*s + 27/2 - 135/4*s**2 = 0 for s.
-2/9, 9/5
Let f = 43 + -66. Let w be 24/(-3)*(f/11 - -2). Factor w*z + 8/11 + 2/11*z**2.
2*(z + 2)**2/11
Let m(n) be the first derivative of -2*n**5/15 + 37*n**4/24 - 65*n**3/18 + 7*n**2/6 - 21. Find v such that m(v) = 0.
0, 1/4, 2, 7
Let f(r) be the second derivative of -1225*r**4/3 - 280*r**3/3 - 8*r**2 + 21*r. Factor f(q).
-4*(35*q + 2)**2
Let c(b) be the second derivative of b**4/3 + 8*b**3/3 - 289*b. Factor c(o).
4*o*(o + 4)
Determine t so that -12*t**2 - 150 + 95*t + 10 + 20 + 4*t**2 + 38*t**2 - 5*t**3 = 0.
-3, 1, 8
Let n be (-2)/24*3/315*-3. Let q(k) be the third derivative of 1/80*k**6 + 0*k + 3*k**2 + 1/48*k**4 + 0*k**3 - 1/40*k**5 - n*k**7 + 0. Factor q(z).
-z*(z - 1)**3/2
Suppose -12*c - 3 = -39. Let r(s) be the third derivative of 0 + 2/3*s**c + 1/15*s**5 + 0*s + 11*s**2 - 1/3*s**4. Factor r(p).
4*(p - 1)**2
Let z be ((-9)/12)/(2/(-24)). Determine v, given that -3*v**2 - z*v - 9*v - 2*v**2 + 13*v = 0.
-1, 0
Suppose 0 = -2*t + 3*c + 19, -3*t + c = t - 53. Factor -56*f**3 - 4*f**5 - t*f + 64*f**2 + 24*f**4 + 1 - 22*f + 7.
-4*(f - 2)*(f - 1)**4
Let i(g) be the third derivative of -5*g**8/336 + g**7/35 - g**6/120 + 98*g**2. Factor i(n).
-n**3*(n - 1)*(5*n - 1)
Suppose -2/5*u**2 - 578/5 + 68/5*u = 0. Calculate u.
17
Let m be (-1)/(-8) - 1526/(-336) - 4. Solve m*h**3 - 2/3*h**4 + 0 + 0*h + 0*h**2 = 0 for h.
0, 1
Factor -2/9*x**2 - 230/9*x - 76/3.
-2*(x + 1)*(x + 114)/9
Let j(w) = 36*w + 38 - 65*w + 32*w. Let f be j(-12). Solve -2/11*d**3 - 2/11*d**f + 2/11*d + 2/11 = 0.
-1, 1
Let c(t) = 2*t**3 + 2*t**2 - 5. Let u(i) = 3*i**3 + 3*i**2 - 8. Suppose -d + 12 = -3*f - 2, 3*d = 2*f + 7. Let q(m) = f*u(m) + 8*c(m). Factor q(k).
k**2*(k + 1)
Let j(d) = -d**2. Let i(k) = -8*k**2 - 3*k + 18. Suppose 0 = -15*z + 11*z + 20. Let x(a) = z*j(a) - i(a). Determine s so that x(s) = 0.
-3, 2
Let t(s) = 3*s + 36. Let j be t(-11). Factor -74*w**3 - 4 + 7*w + 143*w**j - 70*w**3 - 2*w**2.
-(w - 1)**2*(w + 4)
Let k = 59 + -55. Factor 2*c**3 + 4*c**4 + c**k + 0*c**5 + 5*c**5 - 5*c**2 - 7*c**3.
5*c**2*(c - 1)*(c + 1)**2
Let p be (1/(3/11))/((-4)/(-120)). Determine j so that -2*j - p*j - 20*j + 36 + 121*j**2 = 0.
6/11
Let n(d) = -2*d**3 + 4*d**2 - 10*d + 8. Let t be n(1). Factor 1/2*i**4 + 0 + 1/4*i + t*i**3 - 1/4*i**5 - 1/2*i**2.
-i*(i - 1)**3*(i + 1)/4
Let y(l) be the first derivative of -l**6/240 - l**5/60 + 4*l**2 + 17. Let m(z) be the second derivative of y(z). Factor m(j).
-j**2*(j + 2)/2
Let o(b) be the third derivative of -b**8/1512 + b**6/540 + 78*b**2 + 2. Let o(x) = 0. What is x?
-1, 0, 1
What is t in -3/4*t**3 - 1/4*t**2 + 1/4 + 3/4*t = 0?
-1, -1/3, 1
Let g(p) be the third derivative of 292681*p**5/240 + 541*p**4/24 + p**3/6 - 540*p**2. Let g(z) = 0. What is z?
-2/541
Factor 121 + 143 + 65 + 342*o + 496 + 258 + 27*o**2.
3*(3*o + 19)**2
Let d(j) = -2*j**4 - 4*j**2 - 6*j. Let f(y) = -y**4 - 4*y**2 - 5*y. Let m(k) = -5*d(k) + 6*f(k). Factor m(z).
4*z**2*(z - 1)*(z + 1)
Let j(x) be the second derivative of -27*x - x**3 + 0*x**2 + 1/20*x**5 + 0 - 5/12*x**4. Factor j(c).
c*(c - 6)*(c + 1)
Let 0*y + 0 + 0*y**2 + 1/2*y**3 - 3/4*y**4 + 1/4*y**5 = 0. Calculate y.
0, 1, 2
Let a be (115/10 - 9)*1 + (2 - 4). Let -a*w**2 - 18 + 6*w = 0. Calculate w.
6
Let z(y) be the third derivative of -y**6/540 + 2*y**5/135 + y**4/27 - 16*y**3/27 + y**2 - 375*y. Factor z(s).
-2*(s - 4)*(s - 2)*(s + 2)/9
Let v be (-3)/2*(-37)/((-888)/(-32)). Let f(j) be the first derivative of 1/10*j**2 - v + 0*j - 1/15*j**3. Suppose f(g) = 0. What is g?
0, 1
Suppose 11*b + 178 = 211. Let f(y) be the first derivative of 1/24*y**6 + 0*y + 0*y**2 + 0*y**b + 2 + 1/10*y**5 + 1/16*y**4. Find t such that f(t) = 0.
-1, 0
Let g(t) be the first derivative of -20*t**2 + 8 + 108/5*t**5 + 4*t + 48*t**3 - 54*t**4. Factor g(f).
4*(f - 1)*(3*f - 1)**3
Let j = -24 - -30. Let r(t) = t**2 + 1. Let d be r(-1). What is p in p**3 - p**2 - j*p**4 - 3*p**3 + 0*p**d + 5*p**4 = 0?
-1, 0
Let k(v) be the third derivative of v**6/540 + v**5/30 - 4*v**3 + 109*v**2. Suppose k(z) = 0. Calculate z.
-6, 3
Suppose 12*k - 16 = 8. Let f(z) be the first derivative of -3/4*z**4 + 3*z + 4 + 3/2*z**k - z**3. Factor f(j).
-3*(j - 1)*(j + 1)**2
Let f(i) be the first derivative of -i**7/168 + i**6/40 - i**5/40 - 40*i + 42. Let u(n) be the first derivative of f(n). Suppose u(b) = 0. Calculate b.
0, 1, 2
Let q(y) be the first derivative of -10*y**6/3 - 27*y**5 - 165*y**4/2 - 380*y**3/3 - 105*y**2 - 45*y - 109. Determine d so that q(d) = 0.
-3, -1, -3/4
Let i(a) be the first derivative of -3/4*a**4 + 9/20*a**5 + 0*a**2 + 0*a + 1/8*a**6 + 17 + 0*a**3. Factor i(z).
3*z**3*(z - 1)*(z + 4)/4
Suppose 21*f = 12 + 51. Factor 143*k**2 - 27*k**2 + 8*k**3 + 299*k + 4*k**f - 39*k - 100.
4*(k + 5)**2*(3*k - 1)
Let x(c) be the first derivative of 0*c + 17 + 12*c**4 + 8/5*c**5 + 10*c**2 + 56/3*c**3 - 2/3*c**6. Suppose x(q) = 0. Calculate q.
-1, 0, 5
Let o(k) be the third derivative of k**7/42 + 3*k**6/4 - 21*k**5/4 + 5*k**4/6 + 70*k**3 + 164*k**2. Factor o(t).
5*(t - 2)**2*(t + 1)*(t + 21)
Let k(s) be the second derivative of -s**4/4 - 5*s**3/2 + 36*s**2 + 339*s. What is b in k(b) = 0?
-8, 3
Let v(f) be the first derivative of 4*f**5/5 + 9*f**4 + 16*f**3 - 88*f**2 - 192*f - 584. Suppose v(w) = 0. Calculate w.
-6, -4, -1, 2
Let v(p) = 7*p**2 + 6*p**2 + 4*p**2 - 16*p**2 - 1 + 2*p. Let f(d) = -4*d**2 - 9*d + 4. Let u(l) = -2*f(l) - 9*v(l). Suppose u(o) = 0. What is o?
-1, 1
Let b be (-2 - -8 - 2)*(-4)/(-8). Let u(p) be the second derivative of -1/12*p**4 - 2/3*p**3 + 7*p - 2*p**b + 0. Factor u(r).
-(r + 2)**2
Let k(f) be the first derivative of -3*f**5/35 + 123*f**4/28 - 57*f**3 - 189*f**2/2 + 228. Factor k(g).
-3*g*(g - 21)**2*(g + 1)/7
Let v(u) be the third derivative of -u**5/60 - 49*u**4/24 - 8*u**3 + 61*u**2 + 1. Factor v(b).
-(b + 1)*(b + 48)
Determine h, given that 5*h**2 + 43*h**3 + 7*h**3 + 29*h**4 - 23*h - 14*h**4 - 7*h = 0.
-3, -1, 0, 2/3
Determine a, given that 16854/13*a - 297754/13 + 2/13*a**3 - 318/13*a**2 = 0.
53
Let f(l) be the first derivative of l**6/360 + l**5/30 + l**4/8 + 6*l**3 + 1. Let s(y) be the third derivative of f(y). Factor s(h).
(h + 1)*(h + 3)
Let h(b) be the second derivative of b**6/6 - b**5/2 - 5*b**4/4 + 3*b - 92. What is m in h(m) = 0?
-1, 0, 3
Let a be (35/(-280))/((-1)/(-4))*-6. Factor 7/4*d**2 - 1/4*d**a + 5/4 - 11/4*d.
-(d - 5)*(d - 1)**2/4
Let c be -2 + (-30)/(-5) - 1. Let f(h) = -h - 5. Let y be f(-7). Suppose -l**2 - l**c - l**2 - l + 5*l**2 - l**y = 0. Calculate l.
0, 1
Let -343*a**3 + 6643*a**3 + 46000*a**2 - 3*a**5 + 305*a**4 + 8*a**5 + 37771*a + 14718*a - 12489*a = 0. Calculate a.
-20, -1, 0
Let f(b) be the second derivative of 4/25*b**5 + 0*b**2 + 4*b + 4/15*b**4 + 0*b**3 + 2/75*b**6 + 0. Find o, given that f(o) = 0.
-2, 0
Determine o, given that -4*o**4 + 5*o**3 + 13*o**3 - 23*o**2 - o**2 + o**4 = 0.
0, 2, 4
Let n be (-5)/(-20) + -7*1/(-4). Let g = -2 + 2. Determine b, given that -n*b**2 + 12*b - 2*b + g*b - 8 = 0.
1, 4
Let d(f) be the third derivative of f**7/560 - f**6/240 - f**5/40 - 5*f**3/3 - 8*f**2. Let q(u) be the first derivative of d(u). Find j such that q(j) = 0.
-1, 0, 2
Let t(l) = l**3 + 2*l**2 - 2*l - 1. Let i(q) = q**3 + 14*q**2 - 16*q + 1. Let r(s) = -i(s) + 3*t(s). Let r(f) = 0. What is f?
1, 2
Let q(w) = w**3 - 2*w**2 - 3. Let h(d) = -d**2 - 1. Suppose 27*s + 15 = 32*s. Let k(m) = s*h(m) - q(m). Factor k(v).
-v**2*(v + 1)
Let j(x) be the second derivative of -x**10/30240 - x**9/12096 - x**8/26880 + x**4 - x. Let y(w) be the third derivative of j(w). Solve y(f) = 0.
-1, -1/4, 0
Let b(y) be the second derivative of -y**5/130 + 89*y**4/13 - 31684*y**3/13 + 5639752*y**2/13 - 390*y. Facto