t s(m) = -m**2 - m - 12. Let u be s(-4). Let l be 4/(u/(-30) + 11/5). Solve -8/3*y**2 - l + 2/3*y**3 + 10/3*y = 0 for y.
1, 2
Let i be 10*(-2 + (-16)/(-5)). Let a = i - 10. Determine r so that -3*r**2 + 4 + 0*r + 7*r**3 - 6*r - a*r - 2*r**3 + 2*r**4 = 0.
-2, 1/2, 1
What is b in 4*b**2 + 2/3*b - 2/3*b**3 - 4 = 0?
-1, 1, 6
Find r, given that -3/2*r**3 - 9*r + 15/2*r**2 + 0 = 0.
0, 2, 3
Let c(o) be the third derivative of -5*o**8/108 + 328*o**7/945 - 13*o**6/54 - 148*o**5/135 + 50*o**4/27 - 32*o**3/27 + 69*o**2. Let c(b) = 0. What is b?
-1, 2/7, 2/5, 1, 4
Let o(n) be the first derivative of 7 + 7/4*n**3 - 9/32*n**4 + 21/16*n**2 - 15/4*n. Factor o(s).
-3*(s - 5)*(s + 1)*(3*s - 2)/8
Solve -2/3*g**2 + 4*g - 16/3 = 0 for g.
2, 4
Factor -13/4*f - 29/8*f**2 + 1/8*f**4 + 1/8*f**5 - 11/8*f**3 - 1.
(f - 4)*(f + 1)**3*(f + 2)/8
Let 4/3 - 28/3*o - 5*o**5 - 7*o**2 + 43/3*o**3 + 17/3*o**4 = 0. What is o?
-1, 2/15, 1, 2
Let s be (((-36)/(-7))/(-3))/((-11)/44). Determine z so that 12/7*z**2 + 16/7 + 20/7*z**3 - s*z = 0.
-2, 2/5, 1
Suppose 16/7*k**2 - 4*k**4 + 0*k + 0 - 20/7*k**5 + 32/7*k**3 = 0. What is k?
-2, -2/5, 0, 1
Let r(q) = q**2 - 15*q - 9. Let v be r(16). Let 4*u**2 + v*u**4 + 8*u**3 - 3*u**4 - 4*u + 4*u = 0. Calculate u.
-1, 0
Suppose -6/5 - 1/5*x**2 + x = 0. What is x?
2, 3
Let t be (0/(-7 + -10))/1. Let 3/4*o - 3/4*o**2 + t = 0. Calculate o.
0, 1
Let m(y) be the second derivative of 2*y**6/15 - 62*y**5/5 + 359*y**4 - 7192*y**3/3 + 6728*y**2 + 198*y + 1. Solve m(c) = 0 for c.
2, 29
Let f be -1 - (-3 - -3) - -16. Let q be (-9)/f + 6914/90. Factor -q*k**4 - 152/9*k + 16/9 - 98/9*k**3 + 140/3*k**2.
-2*(k + 1)*(7*k - 2)**3/9
Let v(n) = -n**3 - n**2 + 130*n - 358. Let z be v(9). Solve 0 + 0*g - 2/5*g**4 - 4/5*g**3 - 2/5*g**z = 0.
-1, 0
Let h be 1/3 - (-1)/(6/16). Suppose -36*w**4 - 8 - 4*w**2 - 35*w**h - 26*w**3 + 10*w + 26*w - 23*w**3 = 0. What is w?
-2, -1, 1/3
Let u(z) be the first derivative of -5 - 1/22*z**2 - 1/55*z**5 + 0*z + 1/33*z**3 + 1/44*z**4. Factor u(g).
-g*(g - 1)**2*(g + 1)/11
Let k be ((-4)/(-16))/((-3 - -1)*22/(-88)). Factor 0*x - x**3 + 0 - k*x**2.
-x**2*(2*x + 1)/2
Let c = -36 + 38. Factor -6*i**2 - 4*i**4 + 8*i**3 - 13 + 13 + 2*i**c.
-4*i**2*(i - 1)**2
Determine w so that 52/9 + 2/9*w**2 + 10/3*w = 0.
-13, -2
Let z = -86 + 126. Factor -37*s - 23*s**2 - 33*s - s**3 + 58*s**2 + z - 4*s**3.
-5*(s - 4)*(s - 2)*(s - 1)
Let t(q) = -4*q**2 + 8*q + 11. Let u(w) = 4 + 8 - 6*w**2 + 3*w**2 + 8*w. Let y(f) = 3*f - 79. Let v be y(28). Let a(i) = v*u(i) - 4*t(i). Factor a(k).
(k + 4)**2
Let h(v) be the third derivative of 11*v**2 + 0*v**3 + 0 - 1/10*v**4 + 7/200*v**6 + 3/25*v**5 + 0*v. Factor h(d).
3*d*(d + 2)*(7*d - 2)/5
Let o = -21 + 15. Let f(j) = -5*j**2 - 4. Let c(u) = u**2. Let v(m) = o*c(m) - f(m). Factor v(y).
-(y - 2)*(y + 2)
Let q(u) be the first derivative of -u**7/1260 + u**5/360 - 7*u**2/2 + 14. Let m(y) be the second derivative of q(y). Factor m(o).
-o**2*(o - 1)*(o + 1)/6
Let z = 27 - 23. Suppose 0 = 3*p + z*w + 3, 5*p - w = 11 + 7. Factor p*q**2 + 4*q + 0*q**2 + 5*q**2 + 0*q**2.
4*q*(2*q + 1)
Let g = -922 - -925. Let f(j) be the first derivative of -1/2*j**2 - 2/3*j - 1/9*j**g + 2. Factor f(t).
-(t + 1)*(t + 2)/3
Let u(f) be the third derivative of -19/30*f**6 + 18*f**2 - 2/15*f**7 + 0*f - f**5 - 1/6*f**4 + 4/3*f**3 + 0. Factor u(q).
-4*(q + 1)**3*(7*q - 2)
Let n be (-3)/45*-9*10. Suppose -12 - n = -6*o. Find r such that -24 + o*r**2 - 12*r + 24 = 0.
0, 4
Suppose -79 = 36*v - 151. Factor -1/2*g**4 + 2*g**v + g**3 - 4*g + 0.
-g*(g - 2)**2*(g + 2)/2
Let l(d) be the third derivative of -d**6/24 + d**5/3 - 58*d**2 + d. Factor l(w).
-5*w**2*(w - 4)
Factor -6*p**2 - 98/3 - 28*p.
-2*(3*p + 7)**2/3
Let f(h) be the third derivative of h**8/28 - 4*h**7/15 - 7*h**6/30 + 2*h**5/3 + 520*h**2. Let f(m) = 0. Calculate m.
-1, 0, 2/3, 5
Let s = 4081/9 + -453. Factor s + 2/9*m - 2/9*m**2.
-2*(m - 2)*(m + 1)/9
Let v(u) = -u**3 - u**2 - u. Let j be v(0). Let c be (j/1)/(-1 - 0). Solve d**2 + d + 9 + c - 7*d = 0 for d.
3
Let l(n) be the second derivative of -121*n**7/126 - 209*n**6/18 - 575*n**5/12 - 235*n**4/4 + 60*n**3 - 18*n**2 + 55*n. Find i such that l(i) = 0.
-3, 2/11
Let d be (-60)/700 - (-1 - (-5)/7). Let u(p) be the second derivative of -d*p**3 + 0 - 2/5*p**2 - 1/30*p**4 + 2*p. Suppose u(v) = 0. Calculate v.
-2, -1
Let c be 1/(-7) + 14/(2352/444). Factor c*o**3 + 7/2*o - 9/2*o**2 - 1/2*o**4 - 1.
-(o - 2)*(o - 1)**3/2
Let u(w) = 14*w**2 + 316*w + 640. Let j(d) = -9*d**2 - 211*d - 426. Let x(m) = 8*j(m) + 5*u(m). Suppose x(i) = 0. Calculate i.
-52, -2
Determine j, given that 1/6*j**5 + 18432*j**2 + 0 + 0*j + 1152*j**3 + 24*j**4 = 0.
-48, 0
Let l be 0 - 1 - (-8 + 5). Factor 5*x**2 + 2 - 2*x - 3*x**l - 2.
2*x*(x - 1)
Solve 367*z - 19 - 734*z + 347*z + 0*z**2 - z**2 = 0.
-19, -1
Factor 404*u**2 - 133*u**2 + 4*u**3 - 111*u**2.
4*u**2*(u + 40)
Suppose 0 = 5*m - 12 + 2. Let 13 - 2*n**m + 12 - 23 = 0. What is n?
-1, 1
Let f = 34 + -12. Factor 14*c**2 - c**3 - f*c + 26*c - 3*c**3 - 14*c**4.
-2*c*(c - 1)*(c + 1)*(7*c + 2)
Solve 42 - 3/2*s**3 - 18*s - 45/2*s**2 = 0.
-14, -2, 1
Let k(i) be the second derivative of -i**7/14 - 4*i**6/5 - 63*i**5/20 - 9*i**4/2 - 5*i + 6. Factor k(s).
-3*s**2*(s + 2)*(s + 3)**2
Let d(r) = -9*r**2 - 57*r + 60. Let q(y) = 8*y**2 + 58*y - 61. Let s(g) = -5*d(g) - 6*q(g). Determine h so that s(h) = 0.
-22, 1
Suppose -2*i = -7*i. Suppose i = 3*g - 5*g + 8. Factor 9*t**4 + 2*t**5 + t**5 + t**5 - t**4 - g*t**3 - 8*t**2.
4*t**2*(t - 1)*(t + 1)*(t + 2)
Let t be (-6)/42*(3 - 6). Suppose 15*i - 11*i = 0. Suppose 0 - 3/7*z**4 + t*z**2 + i*z + 0*z**3 = 0. Calculate z.
-1, 0, 1
Let r(z) be the first derivative of -z**7/525 - z**6/300 + 23*z**2/2 - 36. Let j(n) be the second derivative of r(n). Suppose j(u) = 0. Calculate u.
-1, 0
Let a be (-3)/(-20)*(5 + -1)*(-220)/(-198). Determine t, given that -a*t**3 - 2/3*t**2 + 2/3*t + 2/3 = 0.
-1, 1
Let i(f) be the second derivative of -f**9/60480 + f**8/26880 + 3*f**4 - 14*f. Let d(l) be the third derivative of i(l). Solve d(h) = 0.
0, 1
Let p(r) = 9*r**2 + 65*r + 89. Let t(w) = 10*w**2 + 66*w + 86. Let g(d) = -6*p(d) + 5*t(d). Suppose g(k) = 0. What is k?
-13, -2
Let i(x) be the first derivative of -x**4/2 + 3*x**2 - 4*x - 73. What is f in i(f) = 0?
-2, 1
Let v(i) be the first derivative of -4*i**2 - 10/9*i**3 + 4/3*i**4 + 2/5*i**5 - 2/9*i**6 - 18 - 8/3*i. Solve v(f) = 0.
-1, -1/2, 2
Let 56 + 9*n - 98*n**2 - 154*n - 54 + 118 + 123*n**2 = 0. What is n?
1, 24/5
Let t(n) = n**3 + n**2 - 6*n + 4. Let s be t(2). Factor -5*f**2 - 1 - 15*f**s + 15*f**3 + 1 + 129*f**5 - 124*f**5.
5*f**2*(f - 1)**3
Let q(v) be the second derivative of -v**4/36 - v**3/2 - 4*v**2/3 - 49*v + 2. Factor q(w).
-(w + 1)*(w + 8)/3
Let u(x) = -x**3 - 23*x**2 + 20*x + 30. Let l be u(-24). Let w = -124 + l. Determine c, given that -2*c - 1/2*c**w - 3/2 = 0.
-3, -1
Let y(s) be the third derivative of -1/42*s**4 + 0*s + 4/21*s**3 + 0 - 1/1470*s**7 + 1/168*s**6 - 1/70*s**5 + 24*s**2. Factor y(h).
-(h - 2)**3*(h + 1)/7
Let r(g) be the third derivative of g**7/840 - 7*g**6/240 - g**5/15 + 7*g**4/48 + 5*g**3/8 + 30*g**2 + 3. Factor r(a).
(a - 15)*(a - 1)*(a + 1)**2/4
Let h(j) = j**2 + j. Let x(a) = -4*a**2 - 16*a - 12. Let f(p) = -6*h(p) - x(p). Let f(o) = 0. Calculate o.
-1, 6
Let m = 31 + -25. Factor -m + 21*n**4 - 2 + 56*n**3 - 56*n - 90*n**2 + 77*n**4.
2*(n - 1)*(n + 1)*(7*n + 2)**2
Let k(b) be the third derivative of b**8/112 - b**7/10 + 11*b**6/40 - b**5/4 - b**2 - 45. Factor k(f).
3*f**2*(f - 5)*(f - 1)**2
Suppose 10*x = 11*x - 2*i - 9, 0 = x + 5*i + 5. What is h in -1/3*h**4 - 1/6*h**3 - 1/6*h**x + 0*h + 0*h**2 + 0 = 0?
-1, 0
What is c in 2*c**3 - 39/4*c**2 - 49/8 + 14*c - 1/8*c**4 = 0?
1, 7
Let r(n) = -52*n**4 + 604*n**3 - 1872*n**2 + 864*n + 3360. Let k(v) = -8*v**4 + 93*v**3 - 288*v**2 + 133*v + 517. Let g(p) = 32*k(p) - 5*r(p). Factor g(z).
4*(z - 4)**3*(z + 1)
Let b = -3289 + 9868/3. Suppose -b*w**3 + 2/3 - 2/3*w**2 + 1/3*w = 0. Calculate w.
-2, -1, 1
Let k(f) = 9*f**3 + 5*f**2 + 4. Let a(b) = -b**3 - b**2. Let l(j) = -4 + j + 1 - 3*j - j. Let h be l(-2). Let s(i) = h*k(i) + 24*a(i). Factor s(r).
3*(r - 2)**2*(r + 1)
Let -288/13 - 2/13*c**2 - 48/13*c = 0. What is c?
-12
Let s(t) = -t**4 - t**3 + t**2 + t + 1. Let k(d) = d**