-6))/((-8)/6). Suppose 1/4*a**2 + o - 3/4*a = 0. What is a?
1, 2
Let h be -6 - (5 - 3)*((-36)/(-3) - 16). Solve 0 - 1/3*f**4 + 0*f + 2/3*f**h + 1/3*f**3 = 0 for f.
-1, 0, 2
Let y(a) be the first derivative of 2*a**3/27 + 17*a**2/9 + 20*a/3 - 192. Factor y(l).
2*(l + 2)*(l + 15)/9
Let j be (-2)/1 + 52/10. Suppose -86*s = -249*s - 7 + 333. Factor -4/5*k**3 - 8/5 - j*k**s - 4*k.
-4*(k + 1)**2*(k + 2)/5
Let w(s) be the third derivative of s**8/100800 - s**7/8400 - s**5/15 + 3*s**2. Let a(u) be the third derivative of w(u). Factor a(f).
f*(f - 3)/5
Let z(w) = 5*w - 3. Let l be z(1). Suppose -515*i**l + 259*i**2 + 8*i**4 + 26*i**3 + 262*i**2 = 0. What is i?
-3, -1/4, 0
Let c(n) be the third derivative of 1/15*n**5 + 0*n - 3*n**2 + 0 + 1/36*n**4 + 0*n**3 + 1/36*n**6. Let c(u) = 0. What is u?
-1, -1/5, 0
Let r(a) = 2*a**2 + 27*a + 73. Let v be r(-10). Let o(w) be the third derivative of 0 - 1/360*w**5 + 0*w + 0*w**v + 10*w**2 - 1/144*w**4. Factor o(p).
-p*(p + 1)/6
Factor 5*m**3 + 122*m + 60*m**2 + 22*m - 39*m + 50.
5*(m + 1)**2*(m + 10)
Let w(a) be the second derivative of -1/45*a**6 + 8/3*a**3 - 11/9*a**4 - 3*a**2 + 4/15*a**5 + 0 + 10*a. Solve w(p) = 0.
1, 3
Suppose 48*d - 68 + 2*d**2 + 2*d**2 + 147 + 65 = 0. What is d?
-6
Suppose -14 = 3*f - 4*j, -4*f - j - 24 = -37. Let q(x) be the first derivative of 16/3*x**3 + 23/4*x**4 + 0*x + f*x**2 + 1/2*x**6 + 14/5*x**5 + 2. Factor q(n).
n*(n + 1)**2*(n + 2)*(3*n + 2)
Find n, given that 4/5*n + 0 - 2/15*n**3 + 2/3*n**2 = 0.
-1, 0, 6
Let i be (8/132)/(21/266). Let y = i + -6/11. Factor -2/9*m**3 + 0 + 4/9*m**2 - y*m.
-2*m*(m - 1)**2/9
Let k(h) = 77*h - 539. Let r be k(7). Find l, given that 1/4*l**2 + 1/2*l + r = 0.
-2, 0
Let j(d) be the second derivative of -d**5/5 + 10*d**4/3 + 5*d + 17. Factor j(w).
-4*w**2*(w - 10)
Suppose -54 = 4*o + 3*f + 2*f, -5*o - 86 = -3*f. Let k(a) = a**2 + 12*a - 62. Let y be k(o). Solve -6/5*t**y + 6/5*t**4 + 0*t**3 + 3/5*t**5 + 0 - 3/5*t = 0.
-1, 0, 1
Factor -45*o**3 + 3/2*o**5 + 0 - 39/2*o**4 + 0*o**2 + 0*o.
3*o**3*(o - 15)*(o + 2)/2
Let w be (-74)/(-4) + (-1)/(-2). Suppose -10 = 2*j, w = 4*g - j - 18. Let 3*q**3 - 13*q + 9*q + 7*q + g*q**2 - 2 = 0. Calculate q.
-2, -1, 1/3
Let p be -96*(2/8 + (-403)/124). Let w = 290 - p. Factor 3/5*n**w - 3/5*n + 0.
3*n*(n - 1)/5
Determine r, given that 12*r**2 + 4*r**2 - 11*r**2 - 5*r**2 + 92*r + 168 + 4*r**2 = 0.
-21, -2
Suppose -11/2*a - 1/2*a**2 - 9 = 0. What is a?
-9, -2
Let c(d) = -18*d**3 - 601*d**2 - 9660*d + 2196. Let o(g) = -g**3 - g**2 + g + 2. Let y(a) = 4*c(a) - 36*o(a). What is j in y(j) = 0?
-33, 2/9
Suppose -2*x = 4*w - 6, x - 8*x - 3 = 2*w. Factor 0 - 1/2*s**w - 5/2*s.
-s*(s + 5)/2
Let y(x) be the first derivative of 2*x**5/15 - 13*x**4/6 + 22*x**3/9 + 13*x**2/3 - 8*x - 158. Determine q, given that y(q) = 0.
-1, 1, 12
Let p(i) be the third derivative of 1/180*i**6 - 6*i**2 + 0 + 0*i + 0*i**3 + 1/4*i**4 + 1/15*i**5. What is s in p(s) = 0?
-3, 0
Let w(u) = u**2 + 8*u - 11. Let a be w(-9). Let g be (-5)/((-3 - a)*1). Factor g*d**3 + 4*d + 4*d**3 + 3*d**2 - 10*d.
3*d*(d + 1)*(3*d - 2)
Let n(i) be the second derivative of -14*i - 1/330*i**6 + 0 + 3/22*i**2 - 1/55*i**5 - 1/66*i**4 + 2/33*i**3. Factor n(l).
-(l - 1)*(l + 1)**2*(l + 3)/11
Suppose 4*a + 4 = 5*a. Find p such that -6*p**4 - 3*p**2 + p**3 + 2*p**3 + 3*p**a + 3*p**3 = 0.
0, 1
Let s(d) be the first derivative of d**6/270 + 7*d**5/45 + 49*d**4/18 - 28*d**3/3 + 17. Let f(z) be the third derivative of s(z). Suppose f(p) = 0. Calculate p.
-7
Suppose 39/2*v - 1/4*v**3 + 5/4*v**2 + 18 = 0. What is v?
-6, -1, 12
Suppose 0 + 3/4*b**4 - b**5 + 21/4*b**3 + 17/4*b**2 + 3/4*b = 0. Calculate b.
-1, -1/4, 0, 3
Let m(f) be the third derivative of 0 - 1/330*f**5 - 40*f**2 - 1/1848*f**8 - 1/220*f**6 + 0*f**3 + 0*f - 1/385*f**7 + 0*f**4. Factor m(k).
-2*k**2*(k + 1)**3/11
Let b be ((-52)/(-39))/(1/3). Let c be 29/7 + (-2 - b/2). Factor 0 - 1/7*i**3 + c*i**2 - 1/7*i**4 + 0*i + 1/7*i**5.
i**2*(i - 1)**2*(i + 1)/7
Suppose 182 = 12*u - 5*u. Let -2*f**2 - u + 47 - 29 - 10*f = 0. What is f?
-4, -1
Factor -3/8*y**2 + 9/2*y - 33/8.
-3*(y - 11)*(y - 1)/8
Suppose 2*t = -4*q - 31 - 63, 2*q + 32 = 4*t. Let u be (-12)/q*(-22)/(-8). Suppose 3/2*y**3 + 0*y**2 + 0 + 0*y**4 + 0*y - u*y**5 = 0. What is y?
-1, 0, 1
Let o be ((-15714)/(-1552))/(30/4) - 3/4. Factor -3/5*j**3 + 0 + 0*j - 1/5*j**5 + 1/5*j**2 + o*j**4.
-j**2*(j - 1)**3/5
Let p(h) = -3*h**3 - 19*h**2 - 49*h - 29. Let t(z) = -24*z**3 - 150*z**2 - 393*z - 234. Let f(u) = -33*p(u) + 4*t(u). Let f(d) = 0. What is d?
-7, -1
Let v be (-12)/90 + (-426)/(-2520). Let z(k) be the second derivative of 4*k + 0 + v*k**4 - 3/140*k**5 + 1/7*k**3 + 0*k**2. Factor z(i).
-3*i*(i - 2)*(i + 1)/7
Suppose 49*t = 48*t. Let l(m) be the third derivative of t*m**3 - 6*m**2 + 1/21*m**4 - 1/105*m**5 + 0 + 0*m. Factor l(c).
-4*c*(c - 2)/7
Let i be (-3)/(-24)*56 + -4. Factor -4/5*g**2 + 0*g - 4/5*g**i + 0.
-4*g**2*(g + 1)/5
Let k = -14 - -10. Let i be (-1)/(-4) + (-23)/k. Factor -3*x**5 + 3 + i*x**4 - 3 + 0 - 3*x**3.
-3*x**3*(x - 1)**2
Factor -120 + 15*o**2 + 69*o - 122*o - 135*o - 27*o**2 + 60*o**3 + 4*o**4.
4*(o - 2)*(o + 1)**2*(o + 15)
Let r be 32/(-84)*((-57)/12 - -4). Let p(a) be the second derivative of 0 + 17/42*a**4 + 3*a - 6/35*a**5 - 1/7*a**3 - r*a**2. What is h in p(h) = 0?
-1/4, 2/3, 1
Solve -2/5*k + 0 - 6/5*k**2 - 2/5*k**4 - 6/5*k**3 = 0.
-1, 0
Let a be ((-32)/10)/(13662/(-3795)). Find z such that 2/9*z**4 - 8/9 - 8/9*z**3 + 2/3*z**2 + a*z = 0.
-1, 1, 2
Let g(a) = 13*a**4 + 180*a**3 - 992*a**2 + 162*a + 5821. Let p(n) = 5*n**4 + 60*n**3 - 331*n**2 + 54*n + 1940. Let z(w) = 4*g(w) - 11*p(w). Factor z(y).
-3*(y - 9)**2*(y - 4)*(y + 2)
Let k(v) be the first derivative of -v**4/21 - 2*v**3/7 + 8*v**2/7 + 6*v + 6. Let p(s) be the first derivative of k(s). Determine i, given that p(i) = 0.
-4, 1
Let c be ((-20)/(-6))/(11/(-33)). Let w = c + 13. Factor 5/6*v - 1/3 + 1/6*v**w - 2/3*v**2.
(v - 2)*(v - 1)**2/6
Suppose n - 30 = -2*n. Suppose o = 6*o + 3*s - 9, -2*s = -2*o + n. Suppose 3*d**o - 2*d + d**3 - 4*d**3 + 2*d**3 = 0. What is d?
-1, 0, 1
Let m = 2 - 0. Suppose -4*v + m*v = -4. Find i, given that -14*i**v + 29*i**2 - 3 - 12*i**2 = 0.
-1, 1
Solve -2/9*u**4 + 2/9*u**3 + 4/9 + 2/3*u**2 - 10/9*u = 0 for u.
-2, 1
Let n = -25 - -27. Factor -11*g**2 + g + 3*g + 7*g**n + 8.
-4*(g - 2)*(g + 1)
Let x = -316 + 319. Let c(p) be the second derivative of 1/168*p**7 - p + 1/30*p**6 + 3/40*p**5 + 0*p**2 + 1/12*p**4 + 0 + 1/24*p**x. Let c(o) = 0. What is o?
-1, 0
Let v(x) be the first derivative of -7*x**6/360 - 37*x**5/180 - 19*x**4/36 - 4*x**3/9 - 9*x**2 + 18. Let d(l) be the second derivative of v(l). Factor d(k).
-(k + 1)*(k + 4)*(7*k + 2)/3
Let g(r) be the third derivative of r**6/420 - 3*r**4/28 + 20*r**2 - 2. Solve g(m) = 0 for m.
-3, 0, 3
Factor 1/3*z**2 + 130/3*z + 4225/3.
(z + 65)**2/3
Let p = 159/7 + -615/28. Determine f, given that p*f**2 - 3/4 + 0*f = 0.
-1, 1
Let x be 17 + (7 - -143)/(-10). Determine i, given that -16/9*i - 2/9*i**4 + 8/9 + 2/3*i**x + 4/9*i**3 = 0.
-2, 1, 2
Let t(m) = 10*m**3 - m**2 + 1. Let a be t(1). Let w = a + -7. Find s such that -4*s**2 - s - w*s**2 + 6*s**2 = 0.
-1, 0
Let c(i) be the second derivative of i**6/6 + i**5/4 - 5*i**4/3 - 10*i**3/3 + 232*i. Find g, given that c(g) = 0.
-2, -1, 0, 2
Let d(q) be the second derivative of -q**7/504 - q**6/144 - 11*q**4/12 + 14*q. Let w(a) be the third derivative of d(a). Let w(l) = 0. What is l?
-1, 0
Let u be (561/22)/17*(-3)/(-12). Determine f, given that 0*f + 3/4*f**4 - u*f**5 + 0 + 0*f**2 - 3/8*f**3 = 0.
0, 1
Let a(p) be the second derivative of p**7/13860 - p**6/3960 - p**5/330 + p**4/6 + 7*p. Let k(b) be the third derivative of a(b). Factor k(c).
2*(c - 2)*(c + 1)/11
Let s(w) be the first derivative of w**5/10 - w**4/16 + 89. Suppose s(n) = 0. Calculate n.
0, 1/2
Let o = 28 - 25. Suppose 3*n**4 + n**5 - 4*n**2 - o*n**3 - n**4 + n + n**3 + 2 + 0 = 0. Calculate n.
-2, -1, 1
Determine k so that -2 - 5*k**5 + 5 - 8 + 4*k - 12*k**4 + k**3 + 5 + 12*k**2 = 0.
-2, -1, -2/5, 0, 1
Let h(k) be the second derivative of k**4/60 - 2*k**2/5 + k - 27. Let h(p) = 0. What is p?
-2, 2
Suppose 740*d**3 + 20*d - 655*d**3 - 80*d**2 - 28*d**4 + 3*d**4 = 0. What is d?
0, 2/5, 1, 2
Let a(o) be the second derivative of 