*d + 99/8 + 3/8*d**4 - 12*d**h = 0.
-1, 1, 33
Let y = -13/27 + 29/60. Let f(h) be the third derivative of -1/3*h**4 + 8*h**2 + 0*h**3 - 2/45*h**5 - y*h**6 + 0 + 0*h. What is d in f(d) = 0?
-6, 0
Let s(v) be the second derivative of -v**7/273 + 4*v**6/195 - v**5/26 + v**4/39 + 449*v. Factor s(z).
-2*z**2*(z - 2)*(z - 1)**2/13
Let p(u) be the first derivative of u**7/168 - u**5/24 + 2*u**3/3 + 6*u + 15. Let l(g) be the third derivative of p(g). Suppose l(a) = 0. Calculate a.
-1, 0, 1
Suppose -40*i = -66*i + 28 + 102. Let l(s) be the first derivative of 1/5*s**i - 13 - 1/3*s**3 + 0*s + 0*s**2 - 1/4*s**4 + 1/6*s**6. What is a in l(a) = 0?
-1, 0, 1
Let g(n) be the second derivative of -n**6/120 + 3*n**5/20 - 5*n**4/8 + 15*n**3 + 63*n. Let i(k) be the second derivative of g(k). Factor i(p).
-3*(p - 5)*(p - 1)
Let v = 41 + -39. Suppose 3*c = -u + 22, v*c = u + 4*c - 18. Factor -u*b**2 - 11*b**4 - 5*b**5 - 9*b**4 - 2*b**3 - 26*b**3 + 3*b**3.
-5*b**2*(b + 1)**2*(b + 2)
Let o be -1 + 0 - (77/(-28)*2 + 2). Let g be (-2 + 5)*(-1 + 2). Factor -5/4*t**4 + 5/4 - 5/2*t**g + o*t + 0*t**2.
-5*(t - 1)*(t + 1)**3/4
Suppose 2*l = l - 2. Let i be (l + 5)/((-3)/(-7) - 0). Factor -19*v - 9 + 80*v + 35*v + 52*v**2 - i.
4*(v + 2)*(13*v - 2)
Let b(a) be the second derivative of -9*a - 3/2*a**3 - 1 - 1/4*a**4 + 6*a**2. Solve b(d) = 0.
-4, 1
Let x be (-33 + (-2)/(-2))*(-25)/50. Let v = x + -14. Find w such that 1/4*w**v + 1/2 - 3/4*w = 0.
1, 2
Let p(g) = 4428*g - 39849. Let o be p(9). Determine d, given that 16/3 + 18*d**2 + 22/3*d**o + 2/3*d**4 + 50/3*d = 0.
-8, -1
Let i(y) be the third derivative of -y**6/2520 + y**5/105 + 5*y**4/42 + 181*y**3/6 - 42*y**2. Let b(x) be the first derivative of i(x). Factor b(t).
-(t - 10)*(t + 2)/7
Suppose 5*k - 10 = 10. Let n(v) = -2*v**3 - 24*v**2 + 168*v + 12. Let g be n(5). Factor 2/9*p**k - 10/9*p**3 + g*p + 2/3*p**2 + 0.
2*p*(p - 3)**2*(p + 1)/9
Determine c so that -12*c**2 - 16*c**2 + 12*c**2 + 1954*c + 18*c**2 = 0.
-977, 0
Let r = 2/1417 - -9915/2834. Let c(d) be the second derivative of 9*d**2 + 1/4*d**4 + 0 + 13*d + r*d**3. Suppose c(m) = 0. What is m?
-6, -1
Solve 5*a**3 + 155*a**2 - 190*a + 1006 - 1670 - 296 = 0.
-32, -2, 3
Let l(n) = n**3 + 2*n + 2 + 11*n + 11*n**2 + 0 - 3*n. Let w be l(-10). Factor -8/17 + 0*j + 2/17*j**w.
2*(j - 2)*(j + 2)/17
Let 4*z**5 + 96*z**3 - 3446*z**2 + 25*z**4 + 6992*z**2 + 0*z**5 - 3466*z**2 + 11*z**4 = 0. What is z?
-5, -2, 0
Let l(q) be the third derivative of -1/6*q**6 + 0*q - q**2 + 32/15*q**5 + 32/3*q**3 - 26/3*q**4 - 4. Factor l(v).
-4*(v - 4)*(v - 2)*(5*v - 2)
Let t(y) be the first derivative of -y**4/10 - 44*y**3/5 - 96*y**2 + 8960*y - 7481. Factor t(x).
-2*(x - 14)*(x + 40)**2/5
Let -50*z**2 + 7555*z**4 - 7589*z**4 - 2*z**5 + 40*z**3 - 3 + 122*z**2 + 3 = 0. What is z?
-18, -1, 0, 2
Let p(d) = -4*d**3 - 84*d + 4. Let q be 10/6 + (-2)/(-6) - -2. Let n(z) = 2*z**3 + z**2 + 83*z - 3. Let w(v) = q*n(v) + 3*p(v). Factor w(u).
-4*u*(u - 5)*(u + 4)
Suppose -l - 32 = 3*x + 2*x, -3*l + 5*x - 196 = 0. Let g = -51 - l. Determine a so that 62*a**4 - g*a**2 - 4*a + 62*a**4 - 122*a**4 = 0.
-1, 0, 2
Let i(h) be the third derivative of h**6/80 - 11*h**5/40 - 95*h**4/8 + 50*h**3 - 2*h**2 - 46*h - 8. Factor i(c).
3*(c - 20)*(c - 1)*(c + 10)/2
Let m(u) be the third derivative of 7*u**6/180 - 11*u**5/9 - 8*u**4/9 - 147*u**2. Factor m(j).
2*j*(j - 16)*(7*j + 2)/3
Let u(q) be the first derivative of 5/3*q**3 + 25/12*q**4 + 0*q**2 - 19 + 25*q. Let w(k) be the first derivative of u(k). Let w(x) = 0. Calculate x.
-2/5, 0
Let w be (-524 - -559) + -22 + -5. Find a, given that 2970*a**3 - 2997/2*a**4 + w - 1944*a**2 + 408*a = 0.
-2/111, 2/3
Suppose -75*j = -60*j - 135. Suppose -8*a = -j*a - 5*a. Determine u, given that -2/11*u - 14/11*u**2 + a = 0.
-1/7, 0
Let f(c) be the third derivative of 17/72*c**4 + 3*c + 1/9*c**3 + 7/90*c**6 + 0 + 43/180*c**5 - 8*c**2. Let f(t) = 0. What is t?
-1, -2/7, -1/4
Suppose 5*d - 45 = -j, 5*d - 5*j - 52 + 7 = 0. Let t be d/4 + ((-95)/(-20) - 5). Factor -4*h**2 - 13*h + 11*h + 2*h**t.
-2*h*(h + 1)
Let v(g) be the third derivative of -g**7/70 - g**6/5 - g**5 - 2*g**4 - 2*g**2 - 2971. Factor v(z).
-3*z*(z + 2)**2*(z + 4)
Let -21*a - 15*a + 14*a - 3*a**2 - 5*a + 210 = 0. What is a?
-14, 5
Let q(s) = -21*s**2 + 3216*s - 456. Let c be q(153). Find o, given that -2/9*o**c + 8/9*o + 2/3*o**2 + 0 = 0.
-1, 0, 4
Let p(t) = 27*t**2 + 95*t + 5. Let b be p(-6). Factor -4 - b*o**2 - 11 - 400*o**2 + 48*o + 798*o**2.
-3*(o - 5)*(3*o - 1)
Factor -172/13 - 4382/13*p + 102/13*p**2.
2*(p - 43)*(51*p + 2)/13
Solve 442/5*u - 8/15*u**4 + 96/5 + 26/5*u**3 + 716/15*u**2 = 0.
-3, -1/4, 16
Let j(s) be the second derivative of -s**7/7560 + s**6/2160 + 8*s**4/3 + 7*s - 1. Let h(r) be the third derivative of j(r). Factor h(q).
-q*(q - 1)/3
Let d be 2/(-8) - -249*42/72. Determine c, given that 4*c**2 + 11*c**2 + 21*c**2 + 140 - d*c - 31*c**2 = 0.
1, 28
Let c(a) be the second derivative of a**4/3 + 15608*a**3/3 + 30451208*a**2 - 632*a + 4. Factor c(j).
4*(j + 3902)**2
Let w be (-38)/(-4)*(7 - (-1 + 6)). Find v, given that -18*v + w*v - v**2 + 68 - 62 = 0.
-2, 3
Let q(a) be the third derivative of -a**5/10 + 559*a**4/24 - 31*a**3/2 + 5101*a**2. Let q(n) = 0. Calculate n.
1/6, 93
Let s(o) be the third derivative of 30 - 17/12*o**4 + 0*o + 38/3*o**3 + 2*o**2 - 1/30*o**5. What is h in s(h) = 0?
-19, 2
Let f be 11*(40/16 + 189/(-90)). Factor -16/5 - f*p + 3/5*p**2.
(p - 8)*(3*p + 2)/5
Let k(o) = -o**3 + 12*o**2 - 11*o + 27. Let x be k(11). Factor x*r**2 - 289 + 34*r - 59*r**2 + 31*r**2.
-(r - 17)**2
Let o(q) be the second derivative of -q**6/360 - q**5/20 + 17*q**4/36 - 4*q**3/3 + 102*q**2 + 4*q + 5. Let h(d) be the first derivative of o(d). Factor h(v).
-(v - 2)*(v - 1)*(v + 12)/3
Let n(f) be the second derivative of 6*f + 0*f**3 + 1/30*f**5 + 0*f**2 + 19 - 1/9*f**4. Suppose n(h) = 0. Calculate h.
0, 2
Find i, given that 3/7*i**3 - 288/7*i + 138/7*i**2 + 0 = 0.
-48, 0, 2
Let n(t) be the second derivative of -t**5/35 + 229*t**4/21 + 922*t**3/21 + 66*t**2 + 22*t + 14. Factor n(b).
-4*(b - 231)*(b + 1)**2/7
Let n(a) = 24*a**4 - 45*a**3 + 57*a**2 + 21*a - 21. Let q(t) = t**4 - t**3 + t**2 + t - 1. Let i(m) = -n(m) + 21*q(m). Solve i(p) = 0.
0, 2, 6
Let i(o) be the first derivative of -o**8/560 + o**7/280 + o**6/20 - 13*o**3/3 + 2*o - 58. Let f(m) be the third derivative of i(m). Factor f(p).
-3*p**2*(p - 3)*(p + 2)
Let k(y) = -58*y + 9*y**3 + 77*y**2 - 16 - 2*y**3 - 58*y**2. Let q(s) = s**2 - 2*s. Let p(j) = -4*k(j) + 12*q(j). Suppose p(l) = 0. Calculate l.
-4, -2/7, 2
Let k be (3 + 0 + (-291)/105)*210/84. Determine b, given that -12/7 - 8/7*b + k*b**2 = 0.
-1, 3
Factor 180064 - 973*d - 360019 + 444*d**2 + d**3 - 366*d + 180849.
(d - 2)*(d - 1)*(d + 447)
Let i be (-33 + (-726)/(-22))/5. Suppose 1/4*p**5 + 0*p + 2*p**2 - p**3 - 1/2*p**4 + i = 0. What is p?
-2, 0, 2
Suppose j + 31 = 4*q, -2*q = 4*j - 129 + 91. Let x be (q/(-2))/(540/(-240)). Suppose -2 + 11/2*c + 3/2*c**x = 0. What is c?
-4, 1/3
Let i(j) be the third derivative of 17/6*j**4 + 39*j**2 + 0 + 32/3*j**3 + 1/15*j**5 + 3*j. Factor i(h).
4*(h + 1)*(h + 16)
Suppose 0 = 2*q - 4*h - 52, 47*q - 42*q - 4*h = 76. Determine w so that -q*w - 56/3*w**2 + 10/3*w**3 + 0 = 0.
-2/5, 0, 6
Let s = -124 - -251/2. Let c(a) be the third derivative of s*a**3 + 0 - 5*a**2 - 1/4*a**4 + 0*a - 1/20*a**5. Suppose c(n) = 0. Calculate n.
-3, 1
Let c(k) be the first derivative of 35/4*k + 5/12*k**3 - 5*k**2 + 40. Let c(j) = 0. Calculate j.
1, 7
Let j(n) be the second derivative of n**4/96 + 359*n**3/24 - 719*n**2/16 - 374*n - 2. Factor j(q).
(q - 1)*(q + 719)/8
Let g(v) be the first derivative of -v**4/8 - v**3/6 + 2*v**2 + 6*v + 1076. Factor g(m).
-(m - 3)*(m + 2)**2/2
Let x be (12 + -40 - -34)/2. Find t such that 1/2*t**x + 5/2*t + 3*t**2 + 0 = 0.
-5, -1, 0
Let z = 1824891 + -1824889. Solve -8748 - 216*d - 4/3*d**z = 0 for d.
-81
Let r(m) = -3*m**2 + 6*m - 2. Let h be r(4). Let x = h - -29. Let 34*u + 2*u + 14*u**2 + x*u**2 + 16 + 7*u**2 + 4*u**3 = 0. Calculate u.
-4, -1
Let b = -1093 - -1090. Let t be ((-5)/b - 136/34)/(-1). Factor 6*l**2 + 1/3*l**4 + 20/3*l + t*l**3 + 8/3.
(l + 1)*(l + 2)**3/3
Let j(r) be the third derivative of r**7/2100 - 2*r**6/225 - 3*r**5/100 + 30*r**3 + 21*r**2. L