 2/3*h**3 - 3*h + 0*h**x - 2/3*h**4 + 0. Let p(s) = 0. What is s?
0, 1, 2
Let s be 60/(-21)*(-16)/96. Let m(w) be the first derivative of -2/35*w**5 - 7 + 0*w - 2/7*w**2 - s*w**3 - 2/7*w**4. Factor m(k).
-2*k*(k + 1)**2*(k + 2)/7
Factor -41*w - 1681 - 1/4*w**2.
-(w + 82)**2/4
Determine n so that 51*n**4 + 135*n**3 - 117*n**3 - 31*n**4 + 27*n + 83*n - 473*n**3 + 325*n**2 = 0.
-1/4, 0, 1, 22
Solve 4/7*k**2 + 1/7*k**3 + 0 + 0*k = 0.
-4, 0
Let c = -4911/4 + 1228. Let w(s) be the second derivative of -1/30*s**6 - 3/4*s**4 + 2*s - s**2 - 7/6*s**3 - c*s**5 + 0. Let w(l) = 0. Calculate l.
-2, -1
Let y(l) = -3*l**5 + 39*l**4 + 57*l**3 - 345*l**2 - 600*l + 1494. Let d(f) = -f**5 + f**4 - 1. Let t(m) = -6*d(m) + y(m). Find h, given that t(h) = 0.
-5, 2
Let b(f) be the third derivative of -1/3024*f**8 - 1/1080*f**6 + 1/180*f**5 + 0*f + 1/108*f**4 + 0 - 1/630*f**7 + 9*f**2 + 0*f**3. Determine g so that b(g) = 0.
-2, -1, 0, 1
Let 23104/7*r - 608/7*r**2 + 0 + 4/7*r**3 = 0. Calculate r.
0, 76
Let q(a) be the first derivative of 0*a + 12/5*a**2 - 219/10*a**4 - 18/5*a**6 + 87/5*a**5 - 3 - 4/5*a**3. Determine m so that q(m) = 0.
-2/9, 0, 1/4, 2
Let q(x) = x**4 + 1. Let j(l) = l**4 - 2*l**3 - l**2 + 2. Let r(t) = t**2 + 2*t - 1. Let g be r(-2). Let d(p) = g*j(p) + 2*q(p). Factor d(w).
w**2*(w + 1)**2
Let o be 289/(-4) + 6/24. Let x be 2 - (o/(-20))/2. Suppose 0 + x*t + 3/5*t**2 = 0. Calculate t.
-1/3, 0
Factor -8/5 - 1/5*l**2 + 6/5*l.
-(l - 4)*(l - 2)/5
Let w(s) be the third derivative of s**6/900 + s**5/50 + 3*s**4/20 + 4*s**3/3 - s**2. Let k(b) be the first derivative of w(b). Factor k(v).
2*(v + 3)**2/5
Let p(a) be the third derivative of a**6/20 + a**5/20 - a**4/12 + a**3/2 - 4*a**2. Let r be p(2). Determine k so that 3*k**2 - 59*k - k**2 + r*k = 0.
0
Let p = 18 - -10. Factor -44*g - 20*g**3 - 68 - 2*g**4 + 26 - 48*g**2 + p.
-2*(g + 1)**3*(g + 7)
Let q = 1255 - 1247. Let c(r) be the second derivative of 5/3*r**4 + 0 + 14/3*r**3 - 4/5*r**5 - q*r - 4*r**2. Find i, given that c(i) = 0.
-1, 1/4, 2
Let m(c) be the second derivative of 41*c**4/16 - 85*c**3/8 + 9*c**2/4 + c - 18. Factor m(w).
3*(w - 2)*(41*w - 3)/4
Let d(c) = -2*c**5 + 8*c**4 - 6*c**3 - 10*c**2 + 22*c - 6. Let b(v) = -7*v - v**2 - v**3 + 14*v - 8*v + 1 + v**5. Let m(u) = 6*b(u) + d(u). Solve m(f) = 0.
-2, 0, 1
Let w(q) = 3*q**3 + 1311*q**2 + 189225*q + 9145875. Let y(p) = 3*p**3 + 1309*p**2 + 189225*p + 9145875. Let x(c) = -2*w(c) + 3*y(c). Factor x(f).
3*(f + 145)**3
Let v(a) = -25*a**2 - 177*a - 10. Let g be v(-7). Solve -44/9*d**3 - 98/9*d - 2/9*d**5 + 0 + 56/3*d**2 - 8/3*d**g = 0 for d.
-7, 0, 1
Suppose 18*b = 50 - 14. Let z(s) be the third derivative of 0 + 0*s + 1/3*s**4 + 1/30*s**5 - 7*s**b + s**3. Factor z(o).
2*(o + 1)*(o + 3)
Suppose 3*p + 25 = 5*v + 8*p, -2*v + 4*p = 2. What is y in 3*y**5 + y**4 + 8/3*y - 7/3*y**2 - 17/3*y**v + 4/3 = 0?
-1, -2/3, 1
Suppose -13*z = -16*z - 3*p + 72, -97 = -4*z - 3*p. Factor z*w**2 - 15/4*w - 5/2.
5*(4*w + 1)*(5*w - 2)/4
Let j(q) be the second derivative of q**6/50 - q**5/100 - q**4/5 + 2*q**3/15 - 296*q. Factor j(i).
i*(i - 2)*(i + 2)*(3*i - 1)/5
Let y(c) be the second derivative of -c**6/15 + 21*c**5/10 - 83*c**4/6 + 13*c**3 + 144*c**2 + 702*c. Factor y(t).
-2*(t - 16)*(t - 3)**2*(t + 1)
Let w(y) = -19*y**2 - 203*y - 2694. Let l(k) = -30*k**2 - 304*k - 4040. Let i(n) = 5*l(n) - 8*w(n). Determine u so that i(u) = 0.
-26
Let d = -270 - -260. Let p be (72/d)/(-12) - (-14)/10. Suppose 3/4*m - m**p + 9/2 - 1/4*m**3 = 0. What is m?
-3, 2
Let u = -9350/7 + 1337. What is x in -u*x - 12/7 + 3/7*x**2 = 0?
-1, 4
Let g be ((-13)/1261)/((-3)/(6/(-10))). Let w = g - -3887/3395. Find a such that 0 + w*a**2 + 40/7*a**3 + 0*a + 50/7*a**4 = 0.
-2/5, 0
Let k = 1152 + -1150. Solve 3/7 - 1/7*t - 2*t**k = 0 for t.
-1/2, 3/7
Let y be (81/(-12) - -3)/(6/(-24)). Let z be (-6)/(-3) - 5/y*0. Factor -4/3*j - 8/3 + 4/3*j**z.
4*(j - 2)*(j + 1)/3
Let v(q) = 36*q + 180. Let o(p) = -p**2 - 2*p - 1. Let a(u) = -2*o(u) + v(u). Determine f so that a(f) = 0.
-13, -7
Let i(l) be the first derivative of -l**6/480 + l**5/40 + 5*l**4/32 - 4*l**3/3 - 2. Let h(q) be the third derivative of i(q). What is y in h(y) = 0?
-1, 5
Determine z so that -8 - 150*z - z**3 + 170*z - 11*z**3 + 12*z**2 + 4*z**2 = 0.
-1, 1/3, 2
Let a(f) = f + 4. Let m be a(-16). Let r be ((-16)/10)/(m/30). Solve -2*p**3 + 7*p**3 + 5*p**5 - 2*p**2 - 10*p + 15*p**r - 13*p**2 + 0*p**3 = 0 for p.
-2, -1, 0, 1
Let j(t) be the second derivative of -19/24*t**4 - 1/20*t**6 + 0 - 1/3*t**3 + t**2 - 4*t - 7/20*t**5. Solve j(h) = 0 for h.
-2, -1, 1/3
Solve -3*r + 0*r**2 + 16*r**3 + 11*r**2 - 6*r**3 - 13*r**2 - 7*r + 2*r**4 = 0.
-5, -1, 0, 1
Let u = 458 - 458. Let o(m) be the third derivative of 7/40*m**6 + 4*m**2 - 1/10*m**5 + 0*m**3 + 0 + u*m**4 + 0*m. Find x such that o(x) = 0.
0, 2/7
Suppose 7*n - n = 12. Determine a so that -22*a**3 + 45*a**3 - 4*a**2 - 25*a**3 - n*a = 0.
-1, 0
Let j(c) be the second derivative of c**6/20 - c**5/6 + 13*c**4/72 - c**3/18 + 3*c - 14. Find d such that j(d) = 0.
0, 2/9, 1
Let f(x) = 2*x - 3. Suppose -3*t - 28 = -10*t. Let d be f(t). Suppose -6*z**4 + 0*z**d + z**2 - z**5 + 3*z**2 + 3*z**4 = 0. Calculate z.
-2, 0, 1
Factor 675 - 2260/3*z**3 + 51526/3*z**2 - 6780*z + 25/3*z**4.
(z - 45)**2*(5*z - 1)**2/3
Let k(w) be the first derivative of w**5/15 + w**4/9 - 4*w**3/9 - 8*w - 43. Let h(c) be the first derivative of k(c). Find o, given that h(o) = 0.
-2, 0, 1
Suppose -5*b + 9 = -2*b. Factor 12*o**2 + 3*o**3 + 1 + 4 + 2*o**3 + 9*o - b.
(o + 1)**2*(5*o + 2)
Solve 4*o**3 - 15*o**2 - 3*o**4 - 2*o**3 - 2*o**3 + 45*o**2 + 9*o**3 = 0 for o.
-2, 0, 5
Let i(n) = 15*n**5 - 195*n**4 + 85*n**2 - 15*n + 55. Let k(g) = g**5 + 4 + g**2 - 355*g**4 + 5*g**2 + 341*g**4 - g. Let s(q) = 4*i(q) - 55*k(q). Factor s(h).
5*h*(h - 1)**3*(h + 1)
Let n(o) be the second derivative of -o**3/3 - 2*o**2 - 3*o. Let l be n(-5). Factor -6*i**3 - 2 - 3*i**4 + l*i + 7 - 2 + 0*i**4.
-3*(i - 1)*(i + 1)**3
Let m be (-39)/65*1*-5. Factor -4*v + 2*v**2 + m*v**2 + 24*v.
5*v*(v + 4)
Let k(u) be the first derivative of -3*u + 15 - 23 + 15*u**2 - 24*u**3 - u**3 - 20. Let k(r) = 0. Calculate r.
1/5
Let d = 522 - 519. Find m such that -1/3*m**2 - 1/3*m + 1/3*m**d + 1/3 = 0.
-1, 1
Suppose 1/3*h**4 + 71639296/3 + 368/3*h**3 + 16928*h**2 + 3114752/3*h = 0. Calculate h.
-92
Let b(l) be the second derivative of l**8/84 - l**6/30 - 9*l**2/2 + 12*l. Let x(f) be the first derivative of b(f). Factor x(a).
4*a**3*(a - 1)*(a + 1)
Suppose 5*o - 2*j = 71, 4*o - 16 = j + 39. Let b be (-1 - 764/(-572)) + (-2)/o. What is h in 6/11 - 4/11*h - b*h**2 = 0?
-3, 1
Let k(v) = 12*v**4 + 9*v**3 - 3*v**2 - 22*v. Let d(q) = q**4 + q**3 - 2*q. Let n(r) = -22*d(r) + 2*k(r). Determine z, given that n(z) = 0.
-1, 0, 3
Let r(s) = -2*s**2 - 93*s - 1069. Let y be r(-21). Factor -3 - 3/2*n**y + 9/2*n.
-3*(n - 2)*(n - 1)/2
Suppose 3*w + 5*h = 2, w - 4*h - 13 = -1. Suppose w*a + 20 = 8*a. Factor -2*d**3 + 0*d**3 - 8 - 10*d**2 + a*d - 21*d.
-2*(d + 1)*(d + 2)**2
Let t(y) be the third derivative of -y**5/15 + 7*y**4/2 - 40*y**3/3 + 53*y**2. Solve t(q) = 0 for q.
1, 20
Let y be 1 + 25/(250/(-4)). Factor -4/5*i + y + 1/5*i**2.
(i - 3)*(i - 1)/5
Let r(w) = -w**3 - 28*w**2 + 151*w + 160. Let q(a) = -a**3 - 13*a**2 + 76*a + 80. Let m(j) = 9*q(j) - 4*r(j). Let m(c) = 0. What is c?
-4, -1, 4
Let n = 9/61 - -1907/305. Suppose -n*v**2 + 0 + 8/5*v + 14/5*v**3 = 0. What is v?
0, 2/7, 2
Suppose 5*k - k = -0*k. Let s(w) be the second derivative of 1/8*w**2 + 0 - 1/48*w**4 + 4*w + k*w**3. Let s(d) = 0. Calculate d.
-1, 1
Let g(q) be the first derivative of -1/15*q**4 - 2/25*q**5 - 1 - 1/45*q**6 + 1/5*q**2 + 4/45*q**3 + 2/15*q. Factor g(m).
-2*(m - 1)*(m + 1)**4/15
Let g(i) = -i**3 + 18*i**2 + 2*i - 32. Suppose -6*h = -h - 90. Let x be g(h). Suppose 0*b - 1/4*b**2 + 0 + 0*b**3 + 1/4*b**x = 0. Calculate b.
-1, 0, 1
Let l(k) = 577*k + 4041. Let n be l(-7). Factor -2/5*q**2 - 12/5 + n*q.
-2*(q - 3)*(q - 2)/5
Let q(k) be the first derivative of -k**6/2160 - k**5/720 + k**4/72 - 5*k**3 - 1. Let j(x) be the third derivative of q(x). Let j(z) = 0. Calculate z.
-2, 1
Let s = -40 + 47. Determine j so that -10 + 13 - 2*j**2 - 8 + s*j**2 = 0.
-1, 1
Factor 0 - 6/5*j + 16/15*j**2 + 2/15*j**3.
2*j*(j - 1)*(j + 9)/15
