1380*y**6 + 33*y**2 - 225/92*y**4 - 1125/23*y**3 + 0*y - 3/46*y**5 + 0. Let n(h) = 0. Calculate h.
-15
Let l = 24 - 15. Suppose -4*x + x + l = 0. Find k such that -1 + 1 - 15*k**4 - 9*k**x + 3*k**3 - 9*k**5 = 0.
-1, -2/3, 0
Let d(l) be the first derivative of l**5 + 8 + 65/3*l**3 + 30*l**2 + 20*l + 15/2*l**4. Determine k, given that d(k) = 0.
-2, -1
Let r(m) be the first derivative of -40*m + 10/3*m**3 - 25 + 10*m**2 - 5/4*m**4. Find g such that r(g) = 0.
-2, 2
Let y(r) be the first derivative of r**3/7 - 258*r**2/7 + 22188*r/7 + 119. Find p such that y(p) = 0.
86
Let h(x) be the first derivative of x**4/18 - 10*x**3/9 - 11*x**2/3 + 1694*x/9 - 718. Determine k, given that h(k) = 0.
-7, 11
Let p(h) be the third derivative of 2797/20*h**5 + 357/2*h**4 + 98*h**3 - 38*h**2 + 0 + 7/10*h**7 + 0*h + 357/20*h**6. Solve p(k) = 0 for k.
-7, -2/7
Let b = -14 + 11. Let c(u) = 2*u**2 + 4*u + 2. Let q be c(b). Factor 2*k**2 - 4 + 0 - q*k - k**2 - 5*k**2.
-4*(k + 1)**2
Let d(f) be the third derivative of f**6/240 - 7*f**5/120 + f**4/8 + 86*f**2. Determine p so that d(p) = 0.
0, 1, 6
Suppose 0 = -22*i + 7*i + 60. Solve -1/5*t**i + 1/5*t**2 + 2/5*t**3 - 2/5*t + 0 = 0.
-1, 0, 1, 2
Let g(l) = 37*l**2 - 7*l - 30. Let r(d) be the second derivative of 25*d**4/4 - 5*d**3/2 - 30*d**2 + 50*d. Let c(h) = 5*g(h) - 2*r(h). Factor c(b).
5*(b - 1)*(7*b + 6)
Let f(i) be the second derivative of -i**6/2700 + i**5/225 - i**4/45 - i**3/6 - 5*i. Let a(q) be the second derivative of f(q). Let a(r) = 0. Calculate r.
2
Let d(n) be the second derivative of -1/231*n**7 - 11*n - 5/33*n**4 + 0 - 1/11*n**5 - 1/33*n**6 - 5/33*n**3 - 1/11*n**2. Suppose d(r) = 0. Calculate r.
-1
Suppose 5*u = -78 + 93. Factor -2/3 - 4/3*a**u + 4/3*a**4 - 1/3*a**5 - 2/3*a**2 + 5/3*a.
-(a - 2)*(a - 1)**3*(a + 1)/3
Suppose 0 = 5*s - 6*s + 5. Let w(t) = -t**3 + 5*t**2 + t - 2. Let b be w(s). Factor -3*q + 15*q**5 - 7*q**3 + 6 - 30*q**2 - 2*q**3 + 6*q**3 + 24*q**4 - 9*q**b.
3*(q - 1)*(q + 1)**3*(5*q - 2)
Factor 0*f**3 - 19*f - 7*f + 8*f**2 + f**3 - 2*f**3 + 12 + 7*f.
-(f - 4)*(f - 3)*(f - 1)
Let t = 2/3935 + 39332/35415. Find d such that -52/9*d + 10/9 + t*d**2 = 0.
1/5, 5
Let z(j) = -j**2 + 5*j + 3. Let k be z(5). Solve -45*w**k - 30*w**4 - w**2 - 5*w**5 + 4*w**2 - 3*w**2 = 0 for w.
-3, 0
Factor -35*x**4 + 76*x**4 + 6*x**2 - 38*x**4 + 9*x**3.
3*x**2*(x + 1)*(x + 2)
Let i = 2/2713 - -8135/5426. Suppose -3*k**4 + 0*k + 0 - 3/4*k**3 + 9/4*k**5 + i*k**2 = 0. Calculate k.
-2/3, 0, 1
Let q(j) be the third derivative of 0 + 0*j**3 + 1/12*j**4 + 14*j**2 + 1/60*j**5 + 0*j + 1/960*j**6. Suppose q(o) = 0. Calculate o.
-4, 0
Let s be ((-13)/39)/((-7)/3) - (-1656)/315. Factor 0*v + s*v**4 + 0 + 0*v**2 + 0*v**3 + 3/5*v**5.
3*v**4*(v + 9)/5
Let k(q) be the third derivative of -q**6/24 - 5*q**5/3 - 15*q**4/2 - 2*q**2 + 94*q. Determine y, given that k(y) = 0.
-18, -2, 0
Let n(b) = -2*b**2 - 2*b + 0*b + 17*b**3 - 16*b**3 + 3*b. Let k(y) = 0*y - 2*y**2 + 0*y**3 - 2*y**3 + y + 3*y**3. Let o(a) = -7*k(a) + 6*n(a). Factor o(v).
-v*(v - 1)**2
Factor -4/3*j**3 + 0 + 24*j - 4*j**2.
-4*j*(j - 3)*(j + 6)/3
Determine z, given that -34*z - 85*z**2 + 0 + 0 + 64*z - 60*z = 0.
-6/17, 0
Let c(v) = 58*v - 56. Let i be c(1). Let r(p) be the second derivative of -4/9*p**3 + 0 - 8/9*p**4 + 0*p**i + 3/10*p**5 + p. Suppose r(o) = 0. Calculate o.
-2/9, 0, 2
Let u(b) be the third derivative of -2*b**7/105 - 98*b**6/15 - 4802*b**5/5 - 235298*b**4/3 - 11529602*b**3/3 + 6*b**2 - 3*b. Determine c so that u(c) = 0.
-49
Let 0 - 14/3*j**2 - 19/3*j**3 + 0*j - 4/3*j**4 + 1/3*j**5 = 0. Calculate j.
-2, -1, 0, 7
Let q = 10041 - 10039. Suppose 0 + 4/15*k**q - 2/5*k**3 + 0*k**4 + 2/15*k**5 + 0*k = 0. What is k?
-2, 0, 1
Let y(a) be the second derivative of 0*a**4 + 1/5*a**6 + 0*a**3 + 0 - 3/14*a**7 + 0*a**5 - 23*a + 0*a**2. Factor y(m).
-3*m**4*(3*m - 2)
Suppose -2*k = 2*i + 2 - 8, 0 = -2*k. Suppose i = 5*q - 4*q. Factor 3*a**3 - a + 0*a**q + 4*a + 6*a**2.
3*a*(a + 1)**2
Suppose 27/5*m**3 - 54/5*m**2 - 12/5 - 4/5*m**4 + 43/5*m = 0. Calculate m.
3/4, 1, 4
Let a = -53855 + 53857. Factor -5/3*o**a - 7/3*o - 1 - 1/3*o**3.
-(o + 1)**2*(o + 3)/3
Suppose 17*h = 2725 - 447. Let u = h - 131. Factor 1/3*p**u - p**2 + 0*p + 0.
p**2*(p - 3)/3
Let u(v) be the first derivative of -9*v**4/14 - 20*v**3/7 - 27*v**2/7 - 12*v/7 + 61. Factor u(a).
-6*(a + 1)*(a + 2)*(3*a + 1)/7
Let j = -169 + 169. Factor j - 6/7*k**3 + 2/7*k + 9/7*k**2 - 5/7*k**4.
-k*(k - 1)*(k + 2)*(5*k + 1)/7
Let p(b) = b**2 - 8*b + 14. Let a = -4 + 10. Let c be p(a). Factor c*v + v**2 - v**3 + 2*v + 2*v - 4*v.
-v*(v - 2)*(v + 1)
Let o = 45 + -41. Let l be (3/o)/((2808/(-64))/(-13)). Determine g so that -2/9*g**3 + l*g + 4/9 - 4/9*g**2 = 0.
-2, -1, 1
Let k be 11/6 - (-16)/(-48). Let x be (-3335)/(-500) + (-5 - 508/(-100)). Factor -21/4*t**2 - x*t - k.
-3*(t + 1)*(7*t + 2)/4
Find i, given that -1/3*i**3 - 2/3*i**2 + 2 + 5/3*i = 0.
-3, -1, 2
Let b = -144 + 148. Let x(t) be the first derivative of 4/3*t**3 + t**2 + 6 + 1/2*t**b + 0*t. Factor x(o).
2*o*(o + 1)**2
What is u in -6*u**3 - 25/4*u**4 + 0*u + 0 - 5/4*u**2 + 3/2*u**5 = 0?
-1/2, -1/3, 0, 5
Suppose -1088*b - 1073*b = -2141*b - 40. Determine j so that -1/2*j**2 + b*j + 2 - 1/2*j**3 = 0.
-2, -1, 2
Let n(m) be the second derivative of m**6/72 - 5*m**5/24 + 5*m**4/4 + 5*m**3/2 - 22*m. Let w(r) be the second derivative of n(r). Factor w(x).
5*(x - 3)*(x - 2)
Let d = 259 + -229. Suppose -6*r = 4*r - d. Determine c so that 4/3*c**4 + 0 - 4/3*c**5 + 4/3*c**r - 4/3*c**2 + 0*c = 0.
-1, 0, 1
Let j = 2755/2 - 1377. Determine u so that j*u**2 + 3/2*u + 0 = 0.
-3, 0
Suppose -3*g - 2*a = 0, -162*a - 5 = 5*g - 157*a. Let -2*m**g + 1/2*m**3 - 3/2*m + 9 = 0. What is m?
-2, 3
Let m be -3*(-4)/(-30)*40/4. Let y be ((-48)/(-36))/((-2)/m). Factor -8/3 + y*n - 2/3*n**2.
-2*(n - 2)**2/3
Suppose u + 5*d - 342 = 0, -4*u + u = 3*d - 1038. Let v = u + -2425/7. Suppose 2*t - 2*t**2 + 4/7*t**3 - v = 0. Calculate t.
1/2, 1, 2
Let k = -2 - -6. Factor 2*z**k + 49*z - 59*z - 4 + 2*z**3 - 6*z**2 + 0*z**4.
2*(z - 2)*(z + 1)**3
Let z(n) be the second derivative of 2*n**6/75 - n**5/10 - 2*n**4/15 + n**3/5 - n + 15. Let z(a) = 0. What is a?
-1, 0, 1/2, 3
Let j(c) be the third derivative of c**7/210 + c**6/15 - c**5/60 - c**4/3 + c**2. Factor j(i).
i*(i - 1)*(i + 1)*(i + 8)
Let n(g) be the first derivative of 2*g**3/9 + 10*g**2 + 150*g + 60. Factor n(c).
2*(c + 15)**2/3
Let y = 59854/24935 - 2/4987. Determine b so that -3/5*b**3 + 21/5*b - y - 6/5*b**2 = 0.
-4, 1
Determine z, given that -39/2*z - 3/2*z**2 + 21 = 0.
-14, 1
Let w = -9 - -12. Suppose -w*o - 57 - 6 = 0. Let p(a) = 6*a**3 - 4*a**2 - 6*a - 3. Let g(t) = -t**3 + t**2 + t. Let y(s) = o*g(s) - 3*p(s). Factor y(f).
3*(f - 3)*(f - 1)*(f + 1)
Let c(y) = 8*y**2 + 2*y - 1. Let j be c(-2). Suppose 223*d**2 - j*d**2 + 13 + 23 - 168*d = 0. Calculate d.
3/7
Suppose -36 = -17*g + 32. Suppose 10 = -g*f + 18. Solve -1232/3*m**3 - 464/3*m**f + 686/3*m**5 + 294*m**4 + 32/3 + 32*m = 0 for m.
-2, -2/7, 2/7, 1
Factor -1290 + 6*k**2 + 1263 + k**4 - 8*k**3 + 12*k**2.
(k - 3)**3*(k + 1)
Let k be (0/5)/(6/3). Let r(q) be the second derivative of 0 + 1/5*q**5 - 2/21*q**7 + 2/45*q**6 - 1/9*q**4 - q + k*q**3 + 0*q**2. Solve r(h) = 0 for h.
-1, 0, 1/3, 1
Let l be 2 + ((-1938)/12)/((-1)/2). Let q be 20/(-18)*(-624)/l. Suppose 0 - 34/15*n**3 + q*n**2 + 2/3*n**4 - 8/15*n = 0. Calculate n.
0, 2/5, 1, 2
Let p = 987 + -985. Determine l so that 9/2*l - 3/2*l**p - 3 = 0.
1, 2
Let y(h) be the second derivative of h**4/12 + 10*h**3/3 + 19*h**2/2 - 136*h. Find x, given that y(x) = 0.
-19, -1
Let q(p) be the third derivative of 0*p - 1/60*p**5 + 0*p**3 + 0 + 1/24*p**4 - 3*p**2. Find h, given that q(h) = 0.
0, 1
What is s in 954*s - 23*s**3 - 5*s**5 - 974*s - 35*s**4 - 52*s**3 - 42*s**2 - 23*s**2 = 0?
-4, -1, 0
Let w(d) = 12 - 2*d**2 + 2*d**2 - d**2 + 10*d + 2. Let f be w(11). Determine v, given that -2*v**2 + 6*v**2 + v + 0*v - f*v**2 = 0.
-1, 0
Let n(q) be the second derivative of -q**5/90 - q**4/18 + 4*q**3/27 + 4*q**2/3 + 4*q - 6. Factor n(x).
-2*(x - 2)*(x + 2)*(x + 3)/9
Let x(d) be the first derivative of -d**6/2 + 12*d**5/5 + 3*d**4/2 - 8*d**3 - 3*d**2/2 + 12*d + 66. What is q in x(q) = 0?
-1, 1, 4
Let p(i) be the third derivative of i**7/11340 - i**6/540 + i**5/60 