he first derivative of -p**4/8 - 4*p**3/3 + 49. Solve g(w) = 0 for w.
-8, 0
Let k(g) = -g**3 + 6*g**2 + 59*g - 40. Let c be k(11). Find y, given that 3*y - 1/2*y**2 - y**3 + 1/4*y**c + 9/4 = 0.
-1, 3
Let x(d) be the second derivative of -3*d**5/160 + 25*d**4/16 - 47*d**3/16 - 147*d**2/8 - 2*d + 311. Find n, given that x(n) = 0.
-1, 2, 49
Let t(a) be the first derivative of -5*a**6/6 + 10*a**4 - 10*a**3 - 35*a**2/2 + 30*a - 279. Find s, given that t(s) = 0.
-3, -1, 1, 2
Let d(l) be the first derivative of -l**6/360 + l**5/40 - l**4/12 + 3*l**3 + 3. Let k(o) be the third derivative of d(o). Find y, given that k(y) = 0.
1, 2
Let n(k) be the first derivative of -k**7/560 + k**6/40 - 11*k**5/80 + 3*k**4/8 - 10*k**3 - 40. Let w(l) be the third derivative of n(l). Factor w(h).
-3*(h - 3)*(h - 2)*(h - 1)/2
Let w(g) be the third derivative of 14*g**2 + 0 + 0*g - 1/30*g**5 + 1/12*g**4 + 1/3*g**3 - 1/60*g**6. Factor w(x).
-2*(x - 1)*(x + 1)**2
Let a be 11749/(-2653) + (-2)/(2/(-7)). Let -4/7 - 2*v + a*v**2 = 0. What is v?
-2/9, 1
Factor 4/5*q**2 + 48/5*q + 0.
4*q*(q + 12)/5
Let m(t) be the third derivative of -t**7/1680 - t**6/240 - t**5/80 + t**4/3 - 10*t**2. Let d(k) be the second derivative of m(k). What is g in d(g) = 0?
-1
Factor 0 + 2/21*a**3 - 38/21*a**2 + 68/21*a.
2*a*(a - 17)*(a - 2)/21
Let c(j) be the third derivative of 1/3*j**3 + 8*j**2 + 0 + 0*j + 1/9*j**4 + 1/90*j**5. Factor c(s).
2*(s + 1)*(s + 3)/3
Let m(b) be the first derivative of -3*b**4/32 + 23*b**3/24 - 13*b**2/16 - 7*b/8 + 341. Find t such that m(t) = 0.
-1/3, 1, 7
Let c(s) be the third derivative of -s**7/280 + s**6/16 - 21*s**5/80 - 9*s**4/8 + 27*s**3/2 + 3*s**2 + 1. Let c(b) = 0. What is b?
-2, 3, 6
Let u(s) be the first derivative of s**4/6 - s**3/3 + 24*s - 9. Let h(x) be the first derivative of u(x). Factor h(r).
2*r*(r - 1)
Let v(h) be the third derivative of -25*h**8/48 - 53*h**7/42 - h**6/8 + 13*h**5/12 - 5*h**4/12 + h**2 + 47. Determine k, given that v(k) = 0.
-1, 0, 1/5, 2/7
Let h(q) be the third derivative of -q**8/7560 - q**7/1890 - q**6/1620 - 7*q**3/3 - 5*q**2. Let n(r) be the first derivative of h(r). Factor n(w).
-2*w**2*(w + 1)**2/9
Suppose -3*u = -15, 4*u + 23 = j + 7*u. Factor 6*z**2 + 4*z**3 - j*z - 7*z**2 - 3*z**2.
4*z*(z - 2)*(z + 1)
Suppose s = -1, 2*s = 4*b - s - 11. Let o(d) = -227*d + 5905. Let n be o(26). Determine y, given that 0*y**b - 2/3*y**n + 2/3*y + 0 = 0.
-1, 0, 1
Factor -61*r**4 - 84 - 48*r**2 + 27*r**4 + 38*r**4 + 152*r - 24*r**3.
4*(r - 7)*(r - 1)**2*(r + 3)
Let p(w) = w**3 - w**2 + w - 1. Let j(n) = 3*n**3 - 5*n**2 + n + 1. Suppose 5*x + 5 = -5*o, 5*o + 13 + 2 = 0. Let r(v) = x*p(v) - j(v). Factor r(t).
-(t - 3)*(t - 1)*(t + 1)
Let m(g) be the second derivative of -g**5/10 - 7*g**4/6 + 7*g**3 + 27*g**2 + 66*g - 2. Factor m(q).
-2*(q - 3)*(q + 1)*(q + 9)
Let i be (-8)/(-44) - (-292)/(-220). Let k = 3/55 - i. Find j, given that -2/5*j**4 + 4/5*j + 0 + 0*j**3 + k*j**2 = 0.
-1, 0, 2
Let g(q) be the first derivative of -q**4/4 + 17*q**3/3 - 79*q**2/2 + 63*q + 982. What is k in g(k) = 0?
1, 7, 9
Factor h**3 + 12*h**4 - 7*h**3 - 6*h**3 - 8*h**5 + 5*h**5.
-3*h**3*(h - 2)**2
Let f = -5 - -13. Let z = -6 + f. Factor 3*u**3 - 1 - z - 3*u**4 + 3.
-3*u**3*(u - 1)
Let i(k) be the second derivative of 1/14*k**3 + 0 - 5*k + 1/14*k**4 + 0*k**5 - 1/98*k**7 + 0*k**2 - 1/35*k**6. Suppose i(s) = 0. What is s?
-1, 0, 1
Let o(z) be the first derivative of -1/3*z**2 - 1/36*z**4 - 1/6*z**3 + 2 - 3*z. Let x(d) be the first derivative of o(d). Find r such that x(r) = 0.
-2, -1
Let m(a) = 2*a**3 - 13*a**2 + 3*a. Let h(l) = -7*l**3 + 52*l**2 - 12*l. Let s(v) = 4*h(v) + 18*m(v). Factor s(c).
2*c*(c - 3)*(4*c - 1)
Let y(l) be the second derivative of l**5/5 - l**4/6 + 2*l**3/3 + 8*l. Let z(s) = -s**2. Let j(v) = y(v) + 6*z(v). Factor j(g).
4*g*(g - 1)**2
Let d(u) = -3*u**2 - 20*u + 8. Let q(f) be the second derivative of f**4/3 + 11*f**3/3 - 4*f**2 + 32*f. Let v(i) = 6*d(i) + 5*q(i). Suppose v(j) = 0. What is j?
1, 4
Let d(g) be the third derivative of -g**6/900 + g**5/150 - g**4/60 - 13*g**3/3 - 6*g**2. Let r(o) be the first derivative of d(o). Factor r(h).
-2*(h - 1)**2/5
Let y be -1 + 9/(-3) + 9. Suppose -l - 10 = -2*q + 2*l, 14 = 2*q - y*l. Let -4/9*w + 2/9*w**q + 2/9 = 0. Calculate w.
1
Let j = -2517/13 + 969/5. Let i = j + 566/455. Let 0 - i*g**3 - 6/7*g - 2*g**2 - 2/7*g**4 = 0. What is g?
-3, -1, 0
Let s(y) be the first derivative of 0*y + 4/3*y**3 + 0*y**2 - 3/4*y**4 + 17 - 1/5*y**5. Suppose s(a) = 0. Calculate a.
-4, 0, 1
Let -15/7*n**2 + 0 - 3/7*n**3 - 18/7*n = 0. What is n?
-3, -2, 0
Let b be (0 - 2/1) + 15/((-75)/(-10)). What is c in -2/9*c**3 + 0*c + 4/9*c**4 + b - 2/9*c**2 = 0?
-1/2, 0, 1
Let i(u) = -32*u**5 - 43*u**4 - 43*u**3. Let j(m) be the first derivative of 11*m**6/6 + 14*m**5/5 + 7*m**4/2 + 19. Let x(z) = 6*i(z) + 17*j(z). Factor x(h).
-5*h**3*(h + 2)**2
Let k(c) be the first derivative of 12 - 1/24*c**3 + 0*c - 1/16*c**2. Factor k(m).
-m*(m + 1)/8
Let n(p) be the second derivative of p**9/10584 - p**8/1960 + p**7/980 - p**6/1260 + p**3/2 + 12*p. Let k(u) be the second derivative of n(u). Factor k(x).
2*x**2*(x - 1)**3/7
Find h, given that -7/2*h**3 - 4 - 1/2*h**4 - 10*h - 9*h**2 = 0.
-2, -1
Let y(z) = -52*z. Let l be y(0). Factor l*r + 6/7*r**2 - 8/7 - 2/7*r**3.
-2*(r - 2)**2*(r + 1)/7
Let a be (-70)/(-21)*(-18)/(-360)*12/7. Factor 4/7*t**2 + 0 + a*t**3 + 2/7*t.
2*t*(t + 1)**2/7
Let -5/4*r - 1/4*r**4 + 5/4*r**3 - 3/4*r**2 + 1 = 0. Calculate r.
-1, 1, 4
Let z be (15/(60/(-16)))/(-30). Let u(p) be the first derivative of -6/5*p - 4/5*p**2 + 4 - z*p**3. Factor u(l).
-2*(l + 1)*(l + 3)/5
Solve 28 - 14*t - 11 + 23 - 4 - 2*t**2 = 0.
-9, 2
Let y(l) be the second derivative of l**4/60 + 11*l**3/30 - 136*l. Factor y(o).
o*(o + 11)/5
Let c(d) be the first derivative of 0*d**3 + 0*d + 1/27*d**6 - 2/45*d**5 + 0*d**4 + 0*d**2 + 13. Solve c(o) = 0.
0, 1
Let y(d) = -15*d**3 + 236*d**2 - 11. Let n(v) = 3*v**3 - 47*v**2 + 2. Let m(t) = -11*n(t) - 2*y(t). What is l in m(l) = 0?
0, 15
Suppose 2*z - 6*z = -12. Let i be (-25)/175*(-1 + ((-2)/1 - 48)). Factor 9*f**z + 15/7*f**5 - i*f**4 + 0 + 6/7*f - 33/7*f**2.
3*f*(f - 1)**3*(5*f - 2)/7
Suppose 10 = s - 4*y + 15, -3*y + 6 = 0. Suppose -2*t + 3*l - 2 = -3, -5*t - 4*l + 14 = 0. Factor -8 + g**3 + g - g - 4*g + 8*g**t + s*g**3.
4*(g - 1)*(g + 1)*(g + 2)
Let y(i) = -i**3 + i**2. Let n(g) = 6*g**3 + 2*g**2 + 24*g - 32. Let o = -80 - -79. Let u(d) = o*n(d) - 10*y(d). What is j in u(j) = 0?
-2, 1, 4
Let b(y) = y**3 + y**2 - 6*y - 7. Let o be b(-4). Let h = -29 - o. Suppose 4/5*l + 14*l**4 + 49/5*l**5 - 3/5*l**3 - 4*l**h + 0 = 0. What is l?
-1, 0, 2/7
Suppose 4*s = s + 24. Let j be (-2)/s - (-3 - 30/(-12)). Suppose -j*d**2 - 1/2 - 3/4*d = 0. What is d?
-2, -1
Let v**4 + 6*v - 24*v**2 - 2*v - 4*v**3 - 32*v + v**3 = 0. What is v?
-2, 0, 7
Let c = 6 + -1. Suppose c*w**2 + 9*w - 2*w + 0*w + 3*w - 15 = 0. Calculate w.
-3, 1
Let d = -8 + 8. Suppose 0 = -d*m + m - 7. Factor 14 + m + 2*f**2 + 4*f + 8*f - 3.
2*(f + 3)**2
Suppose 3/4*w**2 + 0 - 9/2*w = 0. What is w?
0, 6
Let y(z) be the third derivative of -z**6/120 - 7*z**5/60 + 5*z**4/12 + 8*z**3/3 + 3*z**2 - 49. Solve y(x) = 0.
-8, -1, 2
Let z(r) = -r**5 - r**3 + r**2 - 1. Suppose -13*u = -8*u - 10. Let j(l) = -l**5 - 6*l**4 + 11*l**3 - 10*l**2 + 4*l - 2. Let o(v) = u*z(v) - j(v). Factor o(n).
-n*(n - 2)**2*(n - 1)**2
Factor 9/8*t + t**2 + 1/8.
(t + 1)*(8*t + 1)/8
Factor -3*j**5 + 36*j**4 + 6*j**5 - 45*j**4 - 3*j**2 + 9*j**3.
3*j**2*(j - 1)**3
Let g(v) be the second derivative of v**4/12 - 29*v**3/3 + 841*v**2/2 - 113*v. Suppose g(w) = 0. Calculate w.
29
Let v(a) be the third derivative of 21*a**2 + 0*a + 0 + 0*a**3 - 1/156*a**4 + 1/130*a**5. Factor v(s).
2*s*(3*s - 1)/13
Let i(m) be the first derivative of -m**5/12 - 5*m**4/12 + 24*m**2 - 8. Let v(u) be the second derivative of i(u). Let v(a) = 0. Calculate a.
-2, 0
Let s(d) = 4*d**3 + 66*d**2 + 432*d - 1944. Let k(b) = 5*b**3 + 66*b**2 + 432*b - 1944. Let q(t) = -2*k(t) + 3*s(t). Let q(v) = 0. What is v?
-18, 3
Let w(z) be the third derivative of -z**6/40 - 3*z**5/20 + z**4/2 - 15*z**2. Factor w(u).
-3*u*(u - 1)*(u + 4)
Factor -1/5*h**2 - 12/5 - 7/5*h.
-(h + 3)*(h + 4)/5
Let q = 17175/7 + -2453. Let n(u) = u**2 - 4*u - 3. Let a 