?
-2, -1
Let b(o) be the first derivative of -o**4 - 4*o**3 + 8*o**2 + 48*o + 193. Determine f so that b(f) = 0.
-3, -2, 2
Let v be 248/1890 - 182/2457. Let d(x) be the first derivative of 2/21*x**3 + 2 - 4/7*x + 3/7*x**2 + v*x**5 - 3/14*x**4. Factor d(r).
2*(r - 2)*(r - 1)**2*(r + 1)/7
Factor -16/5*g + 14/5 + 2/5*g**2.
2*(g - 7)*(g - 1)/5
Let v(r) be the first derivative of r**6/16 - 9*r**5/20 - 9*r**4/32 + 2*r**3 + 9*r**2/4 + 312. Find a, given that v(a) = 0.
-1, 0, 2, 6
Suppose 0 + 1/3*y**2 - 2/3*y = 0. What is y?
0, 2
Let g(k) = 3*k**3 + 47*k**2 - 22*k - 2. Let l(x) = 4*x**3 + 46*x**2 - 33*x - 3. Let a(i) = -3*g(i) + 2*l(i). Factor a(d).
-d**2*(d + 49)
Let m(v) be the third derivative of v**5/270 + 37*v**4/36 - 112*v**3/27 - 45*v**2 - 5. Let m(l) = 0. Calculate l.
-112, 1
Suppose 3*w - 52 = -1. Factor -2*b**2 - 75 - w*b - 13*b - b**2.
-3*(b + 5)**2
Let y(g) be the first derivative of g**3/12 - 115*g**2/8 + 57*g/2 + 873. Factor y(v).
(v - 114)*(v - 1)/4
Determine h, given that -32/9*h**2 + 4/9*h**3 - 2/9*h + 16/9*h**4 + 16/9 - 2/9*h**5 = 0.
-1, 1, 8
Let 15*s**2 + 35/4*s**4 + 0 + 0*s - 20*s**3 - 5/4*s**5 = 0. What is s?
0, 2, 3
Suppose 0 = 343*c - 347*c. Let a(j) be the first derivative of 0*j**3 + c*j + 1/2*j**4 + 2 + 0*j**2 - 1/5*j**5. What is z in a(z) = 0?
0, 2
Let q(y) = -y**2 + 3*y - 12. Let k(z) = 2*z**2 - 5*z + 25. Let s(x) = 4*k(x) + 9*q(x). Let a be s(4). Factor 59*p**3 + 4 + 0*p**a + 8*p - 4*p**4 - 67*p**3.
-4*(p - 1)*(p + 1)**3
Let w(h) = 34*h**2 + 192*h + 798. Let i(j) = -14*j**2 - 77*j - 319. Let d(k) = 12*i(k) + 5*w(k). Factor d(l).
2*(l + 9)**2
Let p(w) = 5*w**3 - 19*w**2 + 70*w - 47. Let s(z) = 11*z**3 - 37*z**2 + 140*z - 93. Let b(t) = -7*p(t) + 3*s(t). Factor b(f).
-2*(f - 5)**2*(f - 1)
Find m such that -2/7*m + 0 + 3/7*m**2 - 1/7*m**3 = 0.
0, 1, 2
Let a(f) be the second derivative of f**5/180 + 13*f**4/54 + 71*f. Find o, given that a(o) = 0.
-26, 0
Let c = 2858/4305 + 4/1435. Find a, given that 1/6*a**2 + c*a + 2/3 = 0.
-2
Let w(h) be the second derivative of 4*h**6/105 - 9*h**5/35 + 3*h**4/7 + 2*h**3/21 - 6*h**2/7 - 50*h. Determine u, given that w(u) = 0.
-1/2, 1, 3
Let y(h) be the first derivative of -54*h**5/17 + 129*h**4/17 + 56*h**3/51 - 8*h**2/17 + 45. Suppose y(g) = 0. Calculate g.
-2/9, 0, 2/15, 2
Let l = -20 - -25. Let t(n) = -4*n**3 - 11*n**2 - 16*n. Let c(q) = 2*q**3 + 6*q**2 + 8*q. Let s(b) = l*c(b) + 2*t(b). Factor s(g).
2*g*(g + 2)**2
Suppose -15*w + 40 = -20. Let -8*r**2 - 26/3*r**3 + 0 - 4*r**w - 8/3*r - 2/3*r**5 = 0. What is r?
-2, -1, 0
Suppose -s + 27 = 3*x, 4*s + 57 = 3*x + 45. Suppose -2/5*u**2 - 4/5*u + 4/5*u**s + 2/5*u**4 + 0 = 0. Calculate u.
-2, -1, 0, 1
Let a(y) be the first derivative of -3*y**5/5 + 9*y**4/2 + 204. Factor a(t).
-3*t**3*(t - 6)
Suppose 0 = 4*l + 5*u, -l + 3*u - 3 + 20 = 0. Let h(x) be the second derivative of -l*x - 1/54*x**4 - 4/9*x**2 - 4/27*x**3 + 0. Solve h(d) = 0.
-2
Let n(b) be the second derivative of -1/4*b**3 - 34*b + 0 + 0*b**2 + 0*b**4 + 3/40*b**5. Factor n(t).
3*t*(t - 1)*(t + 1)/2
Let b(c) be the third derivative of c**8/112 - c**6/40 + 8*c**2 + 8. Factor b(l).
3*l**3*(l - 1)*(l + 1)
Factor -2/7*c**3 + 0*c + 0*c**2 + 0.
-2*c**3/7
Let h(q) be the first derivative of q**3 - 9*q**2 - 81*q - 444. Determine w, given that h(w) = 0.
-3, 9
Let n(a) be the first derivative of 0*a**3 + 0*a**2 + 3/4*a**4 - 7 - 2/5*a**5 + 1/18*a**6 + 0*a. Solve n(s) = 0.
0, 3
Let i be 162/351 + (-12)/26. Determine w so that 0*w + 2*w**3 + w**5 - 5/2*w**4 - 1/2*w**2 + i = 0.
0, 1/2, 1
Factor -126 - 91*m - 38*m + 56*m**2 - 59*m**2.
-3*(m + 1)*(m + 42)
Determine w so that -w - 15*w + 33*w**5 + 9*w**2 + 98*w**4 + 79*w**2 - 156*w**3 - 53*w**5 = 0.
0, 2/5, 1/2, 2
Let g(o) be the second derivative of -o**5/100 - 7*o**4/60 - 8*o**3/15 - 6*o**2/5 + 44*o. Solve g(z) = 0.
-3, -2
Suppose 33*a - 38*a - 4*q - 24 = 0, 2*a - q = 6. Factor 0*m - 1/6*m**3 + 1/3*m**2 - 1/6*m**4 + a.
-m**2*(m - 1)*(m + 2)/6
Let o(w) = -w**2 - w. Suppose 8 = z + 3*g, 0 - 14 = -4*z - 3*g. Let u(d) = 5*d**2 + 8*d + 2. Let q(j) = z*u(j) + 6*o(j). Factor q(c).
2*(c + 2)*(2*c + 1)
Suppose 28*h - 227 = 361. Let j be (1512/(-105))/(h/(-10)). Let 0 + j*t + 3/7*t**3 + 24/7*t**2 = 0. What is t?
-4, 0
Let m = -271 + 277. Let r(j) be the second derivative of 2/3*j**4 + 0 + 2/21*j**7 - 4*j**2 + 8*j + 0*j**m - 4/5*j**5 + 2*j**3. Factor r(s).
4*(s - 1)**3*(s + 1)*(s + 2)
Determine r, given that 220 - 2*r**3 + 585*r + 13*r**3 - 2045*r**2 + 1825*r**2 + 4*r**3 = 0.
-1/3, 4, 11
Let q(a) be the third derivative of a**5/18 + 9*a**4/2 + 64*a**3/9 + 426*a**2. Let q(i) = 0. What is i?
-32, -2/5
Let b(j) be the third derivative of -j**8/672 - 11*j**7/420 - 43*j**6/240 - 77*j**5/120 - 4*j**4/3 - 5*j**3/3 + 22*j**2 + 3*j. Solve b(k) = 0.
-5, -2, -1
Let z(d) = -d**2 + 7*d. Let g be z(7). Let n(m) be the first derivative of 0*m - 1/10*m**4 + 0*m**2 - 5 + g*m**3 + 2/25*m**5. Find i, given that n(i) = 0.
0, 1
Factor 2/11*o**2 - 12/11*o + 16/11.
2*(o - 4)*(o - 2)/11
Determine o so that 2/11*o**4 + 160/11*o - 150/11 - 16/11*o**3 + 4/11*o**2 = 0.
-3, 1, 5
Find y, given that 5*y**3 + 939*y - 466*y + 85*y**2 - 473*y = 0.
-17, 0
Suppose -4*m + 126 = h + 118, 4*h = 3*m - 6. Determine l, given that 0 + h*l**3 - 1/3*l**4 - 2/3*l + l**2 = 0.
-2, 0, 1
Let s(p) be the third derivative of -p**7/1050 - 13*p**6/600 - 4*p**5/25 - 3*p**4/10 - 19*p**2 + p. Solve s(g) = 0 for g.
-6, -1, 0
Let z(m) be the second derivative of -m**8/2240 + m**7/840 + m**6/240 - m**5/40 - 8*m**4/3 + 34*m. Let p(g) be the third derivative of z(g). Factor p(u).
-3*(u - 1)**2*(u + 1)
Solve -4*a**2 + 8/9*a + 58/9*a**3 + 0 + a**5 - 13/3*a**4 = 0.
0, 2/3, 1, 2
Factor -328/3*k - 6724/3 - 4/3*k**2.
-4*(k + 41)**2/3
Let f be 24*((-66)/(-55) - 2*(-4)/(-8)). Suppose f + 27/5*r + 3/5*r**2 = 0. Calculate r.
-8, -1
Let h(y) = -6*y - 8. Let m be h(-4). Let v be m/4 - 2 - -1. Factor 2/5*a**v - 12/5*a**2 - 16/5 + 24/5*a.
2*(a - 2)**3/5
Let g(y) be the third derivative of -y**10/7560 - y**9/1728 - y**8/2016 + y**7/1008 + y**5/15 + 2*y**2. Let x(i) be the third derivative of g(i). Factor x(p).
-5*p*(p + 1)**2*(4*p - 1)
Let m = -18 - -26. Let h be 3 + (-2)/4*0. Factor -2*w - 3*w**5 - 3*w + 2*w + m*w**h - 2*w**3.
-3*w*(w - 1)**2*(w + 1)**2
Let o(h) = h**2 - 11*h + 14. Let w be o(10). Let a be w + ((-44)/(-11) - (-34)/(-5)). What is l in -a*l**4 - 16/5*l**2 + 22/5*l**3 - 8/5*l + 0 = 0?
-1/3, 0, 2
Let u(d) = -36*d**3 + 330*d**2 - 1575*d + 2625. Let i(h) = -5*h**3 + 47*h**2 - 225*h + 375. Let y = -15 + 0. Let s(o) = y*i(o) + 2*u(o). Factor s(k).
3*(k - 5)**3
Suppose 14*i = 3*i + 77. Let a be 12/8*(168/9)/i. Suppose -3/5*r**a + 3/5*r**3 + 0 + 3/5*r**2 - 3/5*r = 0. What is r?
-1, 0, 1
Suppose 3*f - 16 = 1414*w - 1413*w, -4*w = -3*f + 19. Find z, given that 3*z**4 + 3/2*z - 3/2*z**f + 0 - 3*z**2 + 0*z**3 = 0.
-1, 0, 1
Let w(h) be the second derivative of h**8/448 - h**7/252 - h**6/48 + h**5/12 - 11*h**4/6 - 23*h. Let u(n) be the third derivative of w(n). Factor u(d).
5*(d - 1)*(d + 1)*(3*d - 2)
Suppose 0 = 2*v - 6, 2*q + 0*v - 2*v - 22 = 0. Suppose -3*g - 2 = -q. Solve 4*i**5 - 15*i - 20*i**2 - 12*i**5 - 3 - 10*i**2 - 30*i**3 + 5*i**5 - 15*i**g = 0.
-1
Determine s so that -3/4*s**2 - 363/4 + 33/2*s = 0.
11
Let r(g) be the second derivative of -2*g**7/3 - 4*g**6/5 + g**5/5 + 42*g. Factor r(m).
-4*m**3*(m + 1)*(7*m - 1)
Suppose 48*o - 8 + 337*o**4 - 185*o**3 + 0 + 321*o**4 - 294*o**5 - 2*o**2 - 217*o**3 = 0. Calculate o.
-1/3, 2/7, 1
Let l(n) be the third derivative of -n**8/12 - 8*n**7/35 + 16*n**6/15 + 2*n**5/5 - 25*n**4/6 + 4*n**3 + n**2 + 30*n. Suppose l(r) = 0. What is r?
-3, -1, 2/7, 1
Let d be -4 - 5/(-5) - -3. Suppose 10*h - 7*h - 6 = d. Factor -2/13*s + 2/13*s**3 + 2/13*s**h - 2/13.
2*(s - 1)*(s + 1)**2/13
Let g(b) be the first derivative of -3*b**5/10 - 15*b**4/4 - 25*b**3/2 - 66. Factor g(s).
-3*s**2*(s + 5)**2/2
Let n = 14/37147 + 6639737/25408548. Let r = n - 3/76. Factor 4/9*u**4 + r*u - 4/9*u**2 + 0*u**3 + 0 - 2/9*u**5.
-2*u*(u - 1)**3*(u + 1)/9
Let j(m) be the first derivative of 5*m**6/6 + 14*m**5/5 + 3*m**4 + 2*m**3/3 - m**2/2 + 244. Let j(c) = 0. What is c?
-1, 0, 1/5
Let r(q) = -3*q**3 - 20*q - 21. Let b be r(-1). Let d(h) be the third derivative of 0*h**3 - 1/60*h**6 - 2/15*h**5 + 0*h - 1/3*h**4 - 5*h**b