 2)/7
Let c(q) = -11*q**4 - 3*q**3 + 37*q**2 + 15*q - 8. Let l(a) = -10*a**4 - 5*a**3 + 35*a**2 + 15*a - 10. Let x(z) = 5*c(z) - 6*l(z). Solve x(v) = 0.
-4, -1, 1
Let t be (-126)/(-396) + (4/22)/1. Let j(q) be the first derivative of 0*q**2 - 5 + 0*q + 1/3*q**3 - t*q**4. Factor j(x).
-x**2*(2*x - 1)
Let z(n) be the second derivative of -1/9*n**4 + 0 + 15*n + 4*n**2 + 2/9*n**3. Factor z(k).
-4*(k - 3)*(k + 2)/3
Let y(f) = -f**3 - f**2 - f + 2. Let r(n) = -9*n**3 - 2*n**2 - 13*n + 4. Let u(x) = 5*r(x) - 40*y(x). Suppose u(i) = 0. Calculate i.
-1, 3, 4
Suppose -4*i + 3*i**2 + 4*i + 12*i**3 - 8*i**3 - 10*i**3 = 0. Calculate i.
0, 1/2
Let a = -75 + -31. Let q = -72 - a. What is h in -8 - 9*h - 2*h**4 - 67*h + q*h**4 + 64*h**5 - 188*h**3 - 224*h**2 = 0?
-1, -1/4, 2
Let j be ((-16)/15)/((-6)/20). Let q be (-24)/(-9) + 32/216*-6. What is f in j + q*f + 2/9*f**2 = 0?
-4
Suppose 5*w - 286 = -6*w. Let n be 56/w + -2 + 18/52. Let 1/4*m**4 - 1/4 - 1/2*m + 0*m**2 + n*m**3 = 0. Calculate m.
-1, 1
Let y(i) = -6*i**4 + 2*i**3 + 28*i**2 + 44*i. Let k(f) = -13*f**4 + 4*f**3 + 55*f**2 + 89*f. Let g(z) = 4*k(z) - 9*y(z). Solve g(r) = 0.
-2, 0, 5
Let q(g) = -19*g + 764. Let w be q(40). Solve 1/8*j**2 + 0 + 0*j + 1/8*j**w + 1/4*j**3 = 0.
-1, 0
Solve 24*p**3 - 47*p - 26*p**3 + 66*p + 250 - 169*p + 30*p**2 = 0.
5
Let m(b) be the first derivative of 2*b**5/35 + 17*b**4/14 + 10*b**3/7 - 17*b**2/7 - 32*b/7 + 614. Solve m(r) = 0 for r.
-16, -1, 1
Let b(i) be the second derivative of -i**6/855 + 3*i**5/76 - 11*i**4/228 - 3*i**3/2 - 3*i**2/2 + i - 18. Let q(w) be the second derivative of b(w). Factor q(t).
-2*(t - 11)*(4*t - 1)/19
Suppose -126 + 3*a**2 - 29 + 89*a + 25*a + 38 = 0. Calculate a.
-39, 1
Let m(n) = n**3 - 3*n + 3 + 3*n - 5*n + 3*n**2 - 7. Let c be m(-4). Factor -k**4 - 4*k**3 + c*k**2 - k**2 - k**2 - k**4.
-2*k**2*(k + 1)**2
Let j(y) be the third derivative of 0*y**4 + 1/50*y**5 + 0 - 1/300*y**6 - 4/15*y**3 + 0*y + 4*y**2. Solve j(h) = 0.
-1, 2
Let y be ((5/(-2))/5)/((-32)/192). Factor -9/2 - y*d**2 + 33/4*d.
-3*(d - 2)*(4*d - 3)/4
Let r(w) = -3*w**3 - 623*w**2 - 9355*w + 3830. Let o(v) = -v**3 - 312*v**2 - 4677*v + 1914. Let h(d) = -7*o(d) + 4*r(d). Find k such that h(k) = 0.
-31, 2/5
Factor -6*y**3 - 394*y**2 + 4*y**3 + 799*y**2 - 397*y**2 + 8*y + 2*y.
-2*y*(y - 5)*(y + 1)
Let p(n) be the first derivative of -2*n**3/27 - 4*n**2/9 + 130. Determine i, given that p(i) = 0.
-4, 0
Suppose -64/5*z + 4*z**5 + 44/5*z**3 - 16/5 + 68/5*z**4 - 52/5*z**2 = 0. Calculate z.
-2, -1, -2/5, 1
Let x(z) be the second derivative of z**5/4 + 15*z**4/4 + 20*z**3 + 40*z**2 - 32*z. Factor x(g).
5*(g + 1)*(g + 4)**2
Let s(x) = 2*x**3 - 14*x**2 - 26*x - 16. Let h(k) = k**3 + k**2 + k. Let l(c) = 2*c + 49. Let n be l(-25). Let f(z) = n*s(z) + 6*h(z). Solve f(a) = 0.
-2, -1
Let w = -598/105 - -94/15. Let 8/7*k**4 - w*k**5 + 4/7*k - 8/7*k**2 + 0*k**3 + 0 = 0. What is k?
-1, 0, 1
Let v(k) = -5*k**2 - 60*k - 127. Let f(s) = -36*s**2 - 418*s - 890. Let p(x) = 6*f(x) - 44*v(x). Solve p(q) = 0 for q.
-31, -2
Suppose 0 = -19*l + 86 - 48. Solve 21/2*w**l - 15/2*w**3 - 3*w + 0 = 0.
0, 2/5, 1
Let a = -86 - -100. Let r be (a + -19)/(-3 + 2). Factor -5/3*k**2 + 1/3*k**4 - k**3 + 1/3*k**r + 0 - 2/3*k.
k*(k - 2)*(k + 1)**3/3
Let j be (90/(-50))/(3/(-5)). Let n(g) be the second derivative of 0*g**5 - 1/75*g**6 + 0 + 0*g**3 - j*g + 1/30*g**4 + 0*g**2. Let n(x) = 0. What is x?
-1, 0, 1
Let z(l) be the first derivative of l**5/75 - l**4/60 - 13*l**2/2 + 4. Let b(m) be the second derivative of z(m). Factor b(u).
2*u*(2*u - 1)/5
Factor 11858/5*q + 913066/15 + 2/15*q**3 + 154/5*q**2.
2*(q + 77)**3/15
Let 10/3*o**3 + 15686*o - 1376/3*o**2 + 6348 = 0. What is o?
-2/5, 69
Let l(x) be the first derivative of -27/2*x - 14 - 1/2*x**3 + 9/2*x**2. Factor l(z).
-3*(z - 3)**2/2
Let b(l) be the first derivative of -l**4/20 - l**3/5 + l**2/10 + 3*l/5 - 85. Factor b(i).
-(i - 1)*(i + 1)*(i + 3)/5
Let x(q) be the first derivative of q**6/3 - 16*q**5/5 + 25*q**4/8 + 25*q**3/6 - 29*q**2/4 + 7*q/2 + 279. Let x(y) = 0. Calculate y.
-1, 1/2, 1, 7
Let a(r) = -82*r - 489. Let o be a(-6). Find v, given that 4/17*v + 8/17*v**o + 0 + 10/17*v**2 + 2/17*v**4 = 0.
-2, -1, 0
Let f be (-4)/14 + 99/126. Let u = 3335/2 - 1667. Let -1/2*i**3 + u*i**2 + 1/2*i + 0 - f*i**4 = 0. Calculate i.
-1, 0, 1
Let j be ((-7)/21)/(2/(-12)). Suppose 0 = -2*h + 6*h + j*g - 14, 0 = 2*h - g - 9. Determine z, given that -29*z - 6*z**2 + 10*z**h + 5*z**5 - 4*z**2 + 24*z = 0.
-1, 0, 1
Let n(c) be the first derivative of -343*c**4/20 + 49*c**3/5 - 21*c**2/10 + c/5 + 358. Factor n(k).
-(7*k - 1)**3/5
Let f be -1*(-2 - 7*(24/14)/(-6)). Suppose f*m**4 + 0*m + 0 - 3/2*m**5 + 0*m**2 + 3/2*m**3 = 0. Calculate m.
-1, 0, 1
Let z = -6 + 8. Let s = -54 + 57. Factor -7*f**2 + f - 3*f**2 - 4*f**s - 5*f + 2*f**z.
-4*f*(f + 1)**2
Let y be ((-44)/(-1078))/(5/70). Factor y + 6/7*t + 2/7*t**2.
2*(t + 1)*(t + 2)/7
Suppose 0 = 202*y + 28 - 836. Suppose 159/4*b**2 - 27/4 + 3*b**y + 63/4*b + 81/4*b**3 = 0. Calculate b.
-3, -1, 1/4
Let r(u) = 2*u**5 - 4*u**4 - 5*u**3 + 9*u**2 - 2*u. Let b(q) = 9*q**4 + q**5 - 3*q**4 - 7*q**4. Let y(a) = -15*b(a) - 3*r(a). Let y(k) = 0. Calculate k.
-1, 0, 2/7, 1
Let i be ((-1096)/5754)/((-1)/7 + 0). Find a, given that 0 + i*a**2 + 4/3*a = 0.
-1, 0
Suppose -2*a + 15*i + 14 = 13*i, -2*a - 6 = 2*i. Let -1 + h**a - 1/2*h**3 + 1/2*h = 0. What is h?
-1, 1, 2
Suppose -5*f = -10, 0*a - 2*a - f = 2. Let m be ((-12)/(-16) - -2) + a. Factor 3/4*q**3 + 3/4 - m*q**2 - 3/4*q.
3*(q - 1)**2*(q + 1)/4
Suppose -34 = -4*w - 10. Let q(k) = -k**2 + 5*k + 9. Let s be q(w). Factor 8*g + 3 - s*g**2 + 3 + 5*g**2.
2*(g + 1)*(g + 3)
Suppose 0 = -0*i + 5*i - 480. Let s = -479/5 + i. Suppose -4/5*a**2 + a + s*a**3 - 2/5 = 0. What is a?
1, 2
Let n(b) be the first derivative of b**4/48 - b**3/24 - b**2/4 - 7*b + 5. Let p(h) be the first derivative of n(h). Factor p(u).
(u - 2)*(u + 1)/4
Let p = 8 + 3. Suppose y = -4*c - p, c = 2*y - 5 - 9. Factor -2/13*r**3 + 0 + 0*r + 0*r**4 + 2/13*r**y + 0*r**2.
2*r**3*(r - 1)*(r + 1)/13
Let h(i) be the third derivative of -i**6/240 - 11*i**5/240 + i**4/16 - 52*i**2 + 2*i. Factor h(j).
-j*(j + 6)*(2*j - 1)/4
Let f be (1/1)/((-3)/18*3). Let v(y) = 3*y**4 + 3*y**3 - y**2 - y. Let z(d) = -3*d**4 - 3*d**3. Let u(i) = f*z(i) - 3*v(i). Factor u(p).
-3*p*(p - 1)*(p + 1)**2
Suppose -4*g + 37 = 3*v, 0*v + 4*v + 8 = 9*g. Let l = -24 + 74/3. Let l*q**g - 8/15*q**2 - 4/15*q**5 + 8/15*q - 4/15*q**3 - 2/15 = 0. What is q?
-1, 1/2, 1
Let c(z) be the third derivative of z**6/540 - 17*z**5/270 + 7*z**4/12 + 3*z**3 - 133*z**2. Factor c(f).
2*(f - 9)**2*(f + 1)/9
Suppose -3*i = -0*v - 3*v - 1056, 0 = -5*v - i - 1766. Let z = -1031/3 - v. Solve -14/3*k**5 - 4/3 - 8/3*k**3 + 32/3*k**4 + 22/3*k - z*k**2 = 0 for k.
-1, 2/7, 1
Let q(o) be the third derivative of 0 - 10*o**2 + 1/8*o**4 + 0*o + 1/3*o**3 + 1/60*o**5. Let q(k) = 0. Calculate k.
-2, -1
Factor -1/5*j**3 - 11/5*j - 6/5 - 6/5*j**2.
-(j + 1)*(j + 2)*(j + 3)/5
Let y(q) = q**2 + 10*q + 13. Let o be y(-9). Suppose 2*a + b - o = 0, 0*b + 12 = 5*a + 2*b. Factor -71*g + 2*g**a + 4*g**2 + 71*g - 6*g**3.
2*g**2*(g - 2)*(g - 1)
Let q(b) be the first derivative of b**5/15 - 5*b**4/6 + 77. Factor q(n).
n**3*(n - 10)/3
Suppose -61*x - 20*x = 0. Let q(u) be the first derivative of x*u + 1/10*u**5 + 1/12*u**3 + 0*u**2 + 7 + 3/16*u**4. Suppose q(w) = 0. Calculate w.
-1, -1/2, 0
Let j(y) be the second derivative of -19*y - 1/12*y**4 + 0 + 0*y**3 + 1/2*y**2. Suppose j(c) = 0. What is c?
-1, 1
Let j(s) be the second derivative of -5*s**5/4 - 325*s**4/12 + 2*s**3/3 + 26*s**2 - 23*s - 5. Factor j(g).
-(g + 13)*(5*g - 2)*(5*g + 2)
Suppose 5*w = 73*x - 75*x - 10, -w + 4*x + 20 = 0. Suppose 1/7*z**5 - 1/7*z + 2/7*z**4 + 0 - 2/7*z**2 + w*z**3 = 0. Calculate z.
-1, 0, 1
Let i(k) be the first derivative of -k**5/24 + 5*k**4/24 + 13*k**2/2 - 5. Let j(n) be the second derivative of i(n). Find p such that j(p) = 0.
0, 2
Let y(z) be the first derivative of -3*z**5/5 - 18*z**4 - 118*z**3 + 468*z**2 - 507*z - 943. Solve y(n) = 0.
-13, 1
Let b(d) = 3*d + 2. Let g be b(1). Solve 9*u - 6*u + 12*u - g*u**2 = 0.
0, 3
Determine t, given that 32/17*t**2 - 22/17*t**4 + 0 - 24/17*t + 2*t**3 = 0.
-1, 0, 6/11, 2
Let k be 19 - (-3 - (-1)/1). Let s