econd derivative of -s**7/168 + 19*s**5/40 + 3*s**4/2 + 35*s**3/24 - 264*s. Suppose f(u) = 0. Calculate u.
-5, -1, 0, 7
Suppose 2 = -23*r + 48. Let c(b) be the first derivative of -r*b**3 - 3/2*b**2 + 3/4*b**4 + 5 + 6*b. Solve c(v) = 0 for v.
-1, 1, 2
Let w(q) = -q**4 - q**3 - q**2 + q - 1. Let n = -8 + 7. Let b(m) = -28*m**4 - 36*m**3 - 16*m**2 + 72*m + 8. Let o(t) = n*b(t) + 24*w(t). Solve o(s) = 0.
-2, -1, 2
Let q(v) = -3*v**2 - 147*v + 1725. Let o(z) = -4*z**2 - 293*z + 3451. Let w(g) = -3*o(g) + 5*q(g). Factor w(i).
-3*(i - 24)**2
What is q in -38/9 + 2/9*q - 2/9*q**3 + 38/9*q**2 = 0?
-1, 1, 19
Let r(n) be the second derivative of -n**4/36 + 145*n**3/9 - 21025*n**2/6 - 11*n. Suppose r(x) = 0. What is x?
145
Factor -20*i - i**3 + 145*i**2 - 154*i**2 - 16 + 4.
-(i + 1)*(i + 2)*(i + 6)
Let i = -36 + 17. Let v = i - -58. Factor -12*d + v*d**2 - 11 - 42*d**2 + 2.
-3*(d + 1)*(d + 3)
Let f = 170 + -172. Let a be f*1 - 120/(-28). Factor 20/7*r + a*r**2 + 4/7*r**3 + 8/7.
4*(r + 1)**2*(r + 2)/7
Let q(i) be the first derivative of -i**6/12 + i**5/2 - i**4/2 - 8*i**3/3 + 8*i**2 - 8*i + 32. Factor q(n).
-(n - 2)**3*(n - 1)*(n + 2)/2
Let p be 2 + 1 + 8/(-8). Factor 36*n**3 - 3*n**p + 0 + 8*n + 0 + 39*n**2.
4*n*(3*n + 1)*(3*n + 2)
Let j(q) be the second derivative of 0*q**2 + 0*q**3 - 14*q - 5/16*q**5 + 0*q**4 + 0 + 1/12*q**6 - 1/168*q**7. Determine f, given that j(f) = 0.
0, 5
Suppose -4*f + 65 = -4*w + 61, 5*f - 4 = 4*w. Factor 0 + 0*g**2 + 2/7*g**5 + 0*g + f*g**4 + 0*g**3.
2*g**5/7
Let u(y) = y**4 - 35*y**3 - 6*y**2 + 6*y - 6. Let q(f) = -f**4 + f**2 - f + 1. Let a(w) = -6*q(w) - u(w). Factor a(c).
5*c**3*(c + 7)
Factor 0*p**2 - 4/13*p**3 + 0 + 0*p - 2/13*p**4 + 6/13*p**5.
2*p**3*(p - 1)*(3*p + 2)/13
Let z(j) be the second derivative of 5*j**5/4 - 245*j**4/4 - 230*j**3/3 + 150*j**2 - 10*j - 6. Factor z(c).
5*(c - 30)*(c + 1)*(5*c - 2)
Let a = 11045 + -11042. Suppose 2/5*l**a + 11/5*l**2 + 4/5 + 13/5*l = 0. What is l?
-4, -1, -1/2
Let r(q) be the third derivative of -q**6/480 - 47*q**5/240 - 23*q**4/48 + 3*q**2 + 136. Suppose r(z) = 0. What is z?
-46, -1, 0
Suppose 5*y - 2 = 3. Suppose -c - y + 10 = 0. Suppose -c*d**2 + 300 - 300 + 3*d**3 + 6*d = 0. What is d?
0, 1, 2
Let b(q) be the third derivative of q**6/120 - 27*q**5/10 + 729*q**4/2 - 26244*q**3 - 167*q**2. Factor b(i).
(i - 54)**3
Let o(a) be the third derivative of a**6/900 - a**5/100 + a**4/30 + 2*a**3/3 + 4*a**2. Let l(d) be the first derivative of o(d). Factor l(x).
2*(x - 2)*(x - 1)/5
Let h = -35 - -23. Let b(s) = 3*s + 39. Let u be b(h). Suppose 108*q**u + 8/5 - 56/5*q - 486/5*q**4 - 6/5*q**2 = 0. Calculate q.
-1/3, 2/9, 1
Determine r, given that 0*r**3 + 6/5*r**2 + 4/5*r - 2/5*r**4 + 0 = 0.
-1, 0, 2
Let m(b) be the second derivative of -3/4*b**4 + 0*b**2 + 0 + 0*b**3 + 1/10*b**6 - 3/10*b**5 - 25*b. Find x such that m(x) = 0.
-1, 0, 3
Let y = 15487/5 + -3097. Factor 2/5*b**2 - y*b**5 + 0 + 0*b + 2/5*b**3 - 2/5*b**4.
-2*b**2*(b - 1)*(b + 1)**2/5
Factor -11/7*u - 3/7*u**2 + 3/7*u**3 - 6/7 + 1/7*u**4.
(u - 2)*(u + 1)**2*(u + 3)/7
Let j(o) be the third derivative of 0*o**5 + 0*o**4 + 1/150*o**6 + 1/525*o**7 - 12*o**2 + 0*o**3 - 1/840*o**8 + 0 + 0*o. Factor j(r).
-2*r**3*(r - 2)*(r + 1)/5
Let d(o) be the first derivative of -o**6/6 - 12*o**5/5 - 12*o**4 - 82*o**3/3 - 63*o**2/2 - 18*o + 584. Factor d(m).
-(m + 1)**3*(m + 3)*(m + 6)
Let o(r) be the third derivative of r**5/135 + 5*r**4/18 + 88*r**3/27 + 55*r**2 - 4*r. Factor o(p).
4*(p + 4)*(p + 11)/9
Let s(y) be the first derivative of 15 + 14/3*y**3 - 12*y - 19*y**2. Solve s(m) = 0.
-2/7, 3
Let b(z) be the first derivative of -1/2*z**3 + 7 - 3*z + 9/4*z**2. What is w in b(w) = 0?
1, 2
Let s(z) be the third derivative of 1/30*z**5 - 1/6*z**4 + 1/60*z**6 + 0*z + 0 - 16*z**2 + 0*z**3. Factor s(b).
2*b*(b - 1)*(b + 2)
Let f(q) be the first derivative of q**6/90 + q**5/30 - q**4 - 17*q**3/3 - 19. Let z(j) be the third derivative of f(j). Factor z(g).
4*(g - 2)*(g + 3)
Let l(x) be the first derivative of -2/3*x**3 + 1/5*x**5 + 0*x**4 - x**2 + 1/15*x**6 + 5*x + 7. Let h(v) be the first derivative of l(v). Factor h(z).
2*(z - 1)*(z + 1)**3
What is g in -220*g - 252 - 2*g**3 + 48*g**2 + 106*g + 1276 - 175*g - 95*g = 0?
8
Solve -3/5*r**2 + 72/5*r - 432/5 = 0.
12
Let x be (-84)/(-63)*(-2)/(-16). Suppose x*g**2 - 1/6*g**3 - 1/6 + 1/6*g = 0. Calculate g.
-1, 1
Let i = 29 + -13. Suppose -g = 5*r - 25, -2*g - 3*r + i = -6. Determine n, given that -43*n**4 + 40*n**4 - 4*n**5 + n**g = 0.
-1, 0
Factor 81*v - 20*v - 4*v**3 - 28*v**2 + 13*v - 84*v**2 + 42*v.
-4*v*(v - 1)*(v + 29)
Find h such that -712/5*h**2 - 42/5*h**4 - 576/5 + 436/5*h**3 - 2256/5*h = 0.
-4/3, -2/7, 6
Let d = 14 + 1. Let g(m) = 7*m**2 - 6*m + 7. Let n be g(1). Factor -36*j**2 - n*j - 60*j**3 + 6 + 32*j - d*j.
-3*(2*j + 1)**2*(5*j - 2)
Let r = 32640 - 32637. Determine a so that 21/5*a**4 - 17/5*a**2 - 4/5 + 9/5*a**5 - 16/5*a + 7/5*a**r = 0.
-1, -2/3, 1
What is z in -507/2 - 3/2*z**3 - 585/2*z - 81/2*z**2 = 0?
-13, -1
Let j(s) = -4*s + 2. Suppose 4*f - n + 7 = 0, 6*f + 1 = 4*f + n. Let r = 5 + -3. Let c(q) = -q**2 - 4*q + 2. Let h(v) = f*j(v) + r*c(v). Factor h(y).
-2*(y - 1)**2
Let t(g) be the third derivative of g**7/10 + 2*g**6/5 - 17*g**5/20 - 3*g**4/4 + 3*g**2 + 8. Factor t(o).
3*o*(o - 1)*(o + 3)*(7*o + 2)
Suppose 15 = -57*p + 54*p. Let v(f) = -3*f**3 + 11*f**2 - 5*f. Let w(s) = s**3 - 5*s**2 + 3*s. Let a(g) = p*w(g) - 3*v(g). Factor a(q).
4*q**2*(q - 2)
Let f(b) = -b**2 - 13*b - 19. Let a be f(-11). Find n, given that -1 - a - n**3 - 7*n + 3*n**3 + n = 0.
-1, 2
Suppose 3*q = -w + 12, -4*w = -q - q + 22. Find r, given that 4*r**4 + 2*r**5 + r**q + 2*r**5 + r**4 = 0.
-1, 0
Let y(n) be the second derivative of n**7/210 + n**6/50 - n**5/20 - n**4/20 + 2*n**3/15 + 63*n + 2. Solve y(u) = 0.
-4, -1, 0, 1
Let m(u) = -5*u - 33. Let a be m(-7). Factor -11*s - 8 - 8*s**2 + 0*s**3 + 10*s**2 + a*s**3 + 3*s.
2*(s - 2)*(s + 1)*(s + 2)
Find z, given that 2333 + 0*z - 2336 + 3*z + 6*z**2 = 0.
-1, 1/2
Suppose 17 + 15 = y. Let s = -28 + y. Factor -2*n**2 + 5*n**3 + n**5 + 2*n**s - 3*n**5 - 3*n**3.
-2*n**2*(n - 1)**2*(n + 1)
Let z(t) be the second derivative of -13*t**4/6 - 14*t**3/3 + 24*t**2 - 302*t. Solve z(g) = 0.
-2, 12/13
Let b(r) = r**2 + r + 1. Let m be b(-3). Suppose -c = 2*g + 1 - m, -5*c = -2*g - 6. Determine y so that -9/4 - 3/2*y - 1/4*y**g = 0.
-3
Let r(d) = -d**4 + d**3 + d**2 + d + 1. Let o(j) = 20*j**4 - 10*j**3 + 50*j**2 + 60*j + 5. Let m(b) = o(b) + 25*r(b). Let m(c) = 0. Calculate c.
-1, 6
Suppose 2 + 4 = t + h, -2*t - 4*h = -16. Suppose -2*o = -4*o + 8. Suppose 5*j**o - 3*j**4 + 16*j**3 - 6*j**4 - 24*j**2 - t + 16*j = 0. Calculate j.
1
Let b = -18964 - -18966. Solve 2*a**3 + 8/3*a**4 + 0*a + 0 + 0*a**b + 2/3*a**5 = 0 for a.
-3, -1, 0
Let i(t) be the second derivative of 143*t**6/30 - 29*t**5/2 + 49*t**4/4 + 2*t**3/3 - 2*t**2 + t + 1. Suppose i(x) = 0. Calculate x.
-2/13, 2/11, 1
Let p(t) = -2*t**4 - 29*t**3 - 54*t**2 - 18*t + 9. Let k(d) = -d**4 - 15*d**3 - 26*d**2 - 8*d + 4. Let l(a) = -9*k(a) + 4*p(a). Suppose l(m) = 0. What is m?
-18, -1, 0
Let c(z) be the third derivative of -2*z**7/105 + z**6/6 - 2*z**5/5 - 2*z**4/3 + 16*z**3/3 - 171*z**2. Let c(w) = 0. Calculate w.
-1, 2
Suppose 3*z + 48 = -63. Let d = 40 + z. Factor -2/7*c + 2/7*c**4 + 6/7*c**2 - 6/7*c**d + 0.
2*c*(c - 1)**3/7
Suppose -x - 1 + 5 = 0. Suppose -5*s - 6 = -4*c, x*s - s = 6. Factor -v**2 + 0*v**2 - c*v - 2*v**3 + 3*v**2 + 4*v**3.
2*v*(v - 1)*(v + 2)
Let p(y) be the first derivative of -24*y - 23 - y**4 + 28/3*y**3 + 2*y**2 - 4/5*y**5. Let p(c) = 0. Calculate c.
-3, -1, 1, 2
Suppose 3*m = 2*m - 24. Let q be (3/54)/(0 - 3/m). Factor 2/9 - q*i**2 + 0*i + 2/9*i**4 + 0*i**3.
2*(i - 1)**2*(i + 1)**2/9
Let w(q) be the first derivative of q**6/180 - q**5/15 + q**4/3 + 20*q**3/3 + 16. Let g(a) be the third derivative of w(a). Suppose g(x) = 0. What is x?
2
Let f(l) be the third derivative of -l**5/80 - 9*l**4/32 - 9*l**3/4 + 104*l**2. What is t in f(t) = 0?
-6, -3
Let f(h) be the third derivative of 0*h - 8*h**3 + 0 - 3/70*h**7 + 0*h**4 + 4/5*h**5 - 1/10*h**6 + 48*h**2 + 1/112*h**8. Suppose f(a) = 0. What is a?
-2, -1, 2
Let 0 - 3/7*w**3 + 4/7*w**2 - 1/7*w = 0. What is w?
0, 1/3, 1
Let t(d) = d**2 + d. Let b(f) = 6*f**2 - 3