
-1, 2
Solve 0 + 8/7*n**2 + 4/7*n**3 - 32/7*n = 0 for n.
-4, 0, 2
Let c(i) = 7*i**2 - 2*i - 7. Let n(k) = 15*k**2 - 5*k - 15. Let u = 39 + -44. Let v(z) = u*c(z) + 2*n(z). Solve v(d) = 0 for d.
-1, 1
Suppose 102/5*y + 159/5*y**2 + 33/5*y**3 - 24/5 = 0. What is y?
-4, -1, 2/11
Let y(k) be the second derivative of -k**5/40 + k**4/2 + 5*k**3/4 - 13*k**2/2 - 154*k. Factor y(r).
-(r - 13)*(r - 1)*(r + 2)/2
Let n(g) be the second derivative of g**4/12 - 5*g**3/6 - 3*g**2 + 3*g - 26. Let n(s) = 0. What is s?
-1, 6
Let s be (3 - -4) + 2/3 + -7. Find k such that s*k - 1/3 - 1/3*k**2 = 0.
1
Let l(r) = 2*r**2 - 20*r - 44. Let h be l(12). Solve 1/5*m - 1/5*m**5 + 0 - 2/5*m**2 + 2/5*m**h + 0*m**3 = 0.
-1, 0, 1
Let u = 38692 + -194057/5. Let l = 120 + u. Determine c so that 3*c**3 - l*c - 12/5*c**2 + 0 = 0.
-1/5, 0, 1
Let h be (-1)/(-3) - (-1 + 2/(-3)). Determine y, given that -4*y - 3*y - 4 - y**h + 3*y = 0.
-2
Suppose 234*a**3 - 482*a**2 + 208 + 203*a + 3*a**4 - 17*a**4 + 301*a - 234*a**2 = 0. Calculate a.
-2/7, 2, 13
Let x(t) be the third derivative of -49*t**6/10 - 7*t**5/15 - t**4/72 + t**2 + 278*t. Factor x(c).
-c*(42*c + 1)**2/3
Let k(i) = -i**3 - 7*i**2 + 9*i + 10. Let o be k(-8). Let p(l) = 2*l**2 + 2*l - 2. Let q be p(1). Find r such that 2/9*r**o + q - 4/3*r = 0.
3
Let w = 23 - 19. Suppose -5*o - w*b + 2*b + 14 = 0, -2*b = 4*o - 10. Let 2*g**4 - 3*g**5 + 3*g**o - 2*g**4 + 6*g**3 = 0. Calculate g.
-1, 0, 2
Let d(j) be the first derivative of j**6/2 - 6*j**5/5 - 3*j**4 + 2*j**3 + 9*j**2/2 + 107. Factor d(l).
3*l*(l - 3)*(l - 1)*(l + 1)**2
Suppose 2*r = -6*k + 3*k + 48, 0 = 2*k - 4*r - 32. What is a in 8 + k*a + 16*a**2 + 20*a + a - a = 0?
-2, -1/4
Let d(u) be the second derivative of 5*u**4/12 + 3*u**3 + 13*u**2/2 - 34*u + 1. Find k such that d(k) = 0.
-13/5, -1
Let i(j) be the third derivative of -j**8/3528 + j**7/2205 + j**6/180 - j**5/630 - j**4/42 - 720*j**2. Determine l, given that i(l) = 0.
-2, -1, 0, 1, 3
Let t(m) be the first derivative of -m**3/3 + 4*m + 157. Let t(y) = 0. Calculate y.
-2, 2
Let m(t) be the third derivative of t**6/24 - 85*t**5/12 + 9635*t**4/24 - 8405*t**3/2 - 55*t**2 - 5*t. Factor m(c).
5*(c - 41)**2*(c - 3)
Suppose 17 + 27 = 4*g. Suppose -5*t = -h - g, t = 3*h - 4*h + 1. What is b in -b**t - 2*b**2 - b**2 = 0?
0
Let z(n) = 7*n**2 + 41*n + 34. Let o be z(-1). Determine a so that 0*a + 4/3*a**5 + 32/3*a**3 - 20/3*a**4 - 16/3*a**2 + o = 0.
0, 1, 2
Let a(g) be the third derivative of -g**7/490 - g**6/56 - g**5/35 + 2*g**2. Determine v so that a(v) = 0.
-4, -1, 0
Let k = 5247/280 - 131/7. Let u(o) be the second derivative of -3*o + k*o**6 + 9/8*o**3 + 0*o**2 + 0 + 3/16*o**4 - 3/16*o**5. Factor u(b).
3*b*(b - 3)**2*(b + 1)/4
Factor -9/7*k - 6/7 - 3/7*k**2.
-3*(k + 1)*(k + 2)/7
Let h(m) be the second derivative of -m**5/90 + 8*m**4/27 - 52*m**3/27 + 16*m**2/3 - 55*m + 1. Determine p, given that h(p) = 0.
2, 12
Let -3/5*j**2 - 186/5 - 189/5*j = 0. Calculate j.
-62, -1
Let n be ((-1)/11)/((-5)/10) - (-345)/825. Let 0*w + 0 + n*w**2 = 0. What is w?
0
Let t(k) = -4*k**4 - 25*k**3 + 9*k**2 + 226*k - 197. Let g(p) = 12*p**4 + 76*p**3 - 28*p**2 - 676*p + 592. Let c(j) = -3*g(j) - 8*t(j). Solve c(d) = 0 for d.
-5, 1, 2
Suppose -133*u + 107 = -18*u - 123. Solve -5*j + 1/2*j**u + 25/2 = 0.
5
Let k(t) = -7*t - 81. Let g be k(-12). Factor 4/5*m**2 + 3/5*m + 0 + 1/5*m**g.
m*(m + 1)*(m + 3)/5
Let d(b) = 10*b - 4 - 5*b + 14*b**2 - 3 - 3*b**3. Let f(a) = -15*a**3 + 69*a**2 + 24*a - 36. Let n(q) = 24*d(q) - 5*f(q). Find k, given that n(k) = 0.
-1, 2
Let h(l) be the first derivative of -12*l - 8*l**2 - 10 - 4/3*l**3. Factor h(g).
-4*(g + 1)*(g + 3)
Let u be (-3)/(21/(-14)) + -2. Let g(v) = 4*v + 3. Let z be g(u). Let -1/6*l + 1/2*l**z + 1/3*l**5 + 0 - 5/6*l**4 + 1/6*l**2 = 0. What is l?
-1/2, 0, 1
Factor 34572 + 5*k**2 + 15*k**2 - 3295 + 1032*k - 16*k**2 + 35287.
4*(k + 129)**2
Let u(g) = -7*g**2 + 36*g + 108. Let a(l) = 36*l**2 - 184*l - 540. Let k(f) = 3*a(f) + 16*u(f). Find j such that k(j) = 0.
-3, 9
Let p(w) be the third derivative of -w**6/12 - 5*w**5/12 + 5*w**4/24 - w**2. Let d(z) = -z**3 + z. Let b(k) = -5*d(k) + p(k). Find n such that b(n) = 0.
-5, 0
Let y(d) be the second derivative of d**5/170 + 4*d**4/51 - 20*d**3/51 + 16*d + 2. Factor y(p).
2*p*(p - 2)*(p + 10)/17
Factor 0*l**2 + 10522*l - 5*l**2 - 10712*l - 680.
-5*(l + 4)*(l + 34)
Let c be (-54)/(-15) - (-6)/15 - 1. Suppose 10 = 5*k - 2*g, k - c*g + 11 = -0*k. Factor 1/3*y**k + 7/3*y + 2/3 + 3*y**2 + 5/3*y**3.
(y + 1)**3*(y + 2)/3
Let x(h) be the second derivative of 3*h**5/20 + 17*h**4/4 + 63*h**3/2 - 243*h**2/2 - 29*h + 2. Determine v, given that x(v) = 0.
-9, 1
Factor 5*g**5 - 3*g**5 + 26*g**3 - 28*g**3 + 4*g**4 - 4*g**2.
2*g**2*(g - 1)*(g + 1)*(g + 2)
Suppose -9 = 3*n + 3*v - 8*v, -n - 3 = -2*v. Let w be (n/(-4))/((-50)/(-16) + -2). Factor w*g**4 + 26/3*g**2 - 4*g**3 - 8*g + 8/3.
2*(g - 2)**2*(g - 1)**2/3
Suppose -4*a - 21 = -7*a. Let c(v) = -v**3 + 8*v**2 - 9*v + 16. Let q be c(a). Suppose 18/7 + 2/7*j**q - 12/7*j = 0. Calculate j.
3
Suppose 0 = -10*f + 342 + 958. Let t be 8/(-52) + 98/f. Factor 0 - t*b - 18/5*b**2 - 27/5*b**3.
-3*b*(3*b + 1)**2/5
Suppose -2*m - 5*m = -7. Find k such that 5 + m + 220*k - 605*k**2 - 26 = 0.
2/11
Let z(p) be the third derivative of p**5/20 + p**4/4 - 564*p**2. Find y such that z(y) = 0.
-2, 0
Let u be (1 - 44/8)*4/(-6). Let k(m) = -m**3 + 5*m**2 - 4*m + 3. Let v be k(4). Determine d, given that 9 + 3*d**4 - 2*d**3 - 12 + u*d**3 - 6*d + 5*d**v = 0.
-1, 1
Let c(u) be the second derivative of -u**6/2 + 9*u**5/5 - u**4 + 367*u. Suppose c(a) = 0. What is a?
0, 2/5, 2
Let i(y) be the second derivative of y**5/25 - 3*y**4/5 - 4*y**3/3 + 763*y. Suppose i(p) = 0. Calculate p.
-1, 0, 10
Let l(p) be the first derivative of 0*p**2 + 7/6*p**6 - 12/5*p**5 + 3/4*p**4 + 4 + 2/3*p**3 + 0*p. Find k such that l(k) = 0.
-2/7, 0, 1
Let j(d) = -31*d - 461. Let m be j(-15). What is y in -14/9*y**3 + 0*y - 16/9*y**2 + 2/9*y**m + 0 = 0?
-1, 0, 8
Suppose 0 = 3*n - 2*s - 5, 3*s = 11*n - 6*n - 9. Suppose -h + 3*f = -2*f - 13, -2*f + 5 = n*h. Factor 4/5 + 14/5*q + 2*q**h + 18/5*q**2 + 2/5*q**4.
2*(q + 1)**3*(q + 2)/5
Let t(i) be the first derivative of -i**3 - 9*i**2 + 21*i + 68. Factor t(u).
-3*(u - 1)*(u + 7)
Let x(k) be the third derivative of 0*k**4 + 9*k**2 - 7/120*k**6 + 0*k**3 + 1/30*k**5 + 0*k + 1. Solve x(c) = 0 for c.
0, 2/7
Solve -3*z - 9/2 - 1/2*z**2 = 0.
-3
Let c be (22 + -23)/(1 + 10/(-3)). Factor -3/7*k**3 - c*k**4 + 3/7*k**2 + 3/7*k + 0.
-3*k*(k - 1)*(k + 1)**2/7
Let j = -124 - 59. Let x be ((-6)/(-9))/(j/108 + 2). Let 4/11*c**3 + x*c**4 - 16/11*c**5 + 12/11*c - 2/11 - 2*c**2 = 0. What is c?
-1, 1/2, 1
Solve -38*k**2 - 36*k + 24 + 45*k**3 + 8*k**2 - 19*k**5 + 6*k**4 + 10*k**5 = 0 for k.
-2, -1, 2/3, 1, 2
Factor 0 - 56/5*x**2 - 2/15*x**5 - 122/15*x**3 - 24/5*x - 28/15*x**4.
-2*x*(x + 1)**2*(x + 6)**2/15
Let s = -107 + 109. Find b, given that 22*b**3 + 9*b**3 + 15*b**4 - 10*b**3 + 120 - 234*b**s + 204*b = 0.
-5, -2/5, 2
Let c(q) = 407*q + 2038. Let s be c(-5). Find m, given that -150/7*m + 250/7 + 30/7*m**2 - 2/7*m**s = 0.
5
Suppose -6 = -2*y, -l - l + 2*y + 2 = 0. Find k such that 12*k**2 - 6*k**3 + 13*k**3 - l*k**3 - 8*k - 7*k**3 = 0.
0, 1, 2
Suppose -24 = -2*g + 3*v, 0 = 3*g + 4*v + 3 - 22. Let w be g/(-6)*(-2)/108*8. Let -2/9*q + 0 + w*q**2 = 0. What is q?
0, 1
Let i = -8 + 21. Let p(m) = -2*m**2 + 8*m - 8. Let j(q) = -4*q**2 + 16*q - 16. Let l(t) = i*p(t) - 6*j(t). Factor l(z).
-2*(z - 2)**2
Solve -46*f - 104*f**3 + 5 + 129*f**2 + 11*f**4 + f**4 + 0*f**4 + 14*f**4 - 10*f**4 = 0 for f.
1/4, 1, 5
Let f be -5 + 2 + (3 - 2). Let y be 0 + (-16)/(-4) + f. Factor 2*m**2 + 161*m - 163*m + 8*m**y.
2*m*(5*m - 1)
Factor -k**2 + 33*k**2 + 427272*k**3 - k**4 - 427267*k**3 + 36*k.
-k*(k - 9)*(k + 2)**2
Let u be 7/4 - (-1 - (-3)/4). Suppose -u*s = -o - 7, -2*s + 12 = -5*o - 7. Find i such that 29/3*i**2 - 4/3 - s*i + 25/2*i**5 - 70/3*i**4 + 9/2*i**3 = 0.
-2/5, 2/3, 1
Determine i, given that -256 - 224*i - 25*i**3 + 223*i**2 + 3/4*i**4 = 0.
-2/3, 2, 16
Let r(o) be the first derivative of -5*o**4/4 + 120*o**2 - 640*o + 258. Let r(c) = 0. What is c?
-8, 4
Factor -3/4*h**2 - 9/4*h + 27/2.
-3*(h - 3)*(h + 6)/4
Let k be (2/3)/(62/465). Let s(c) be the third derivative