*4/6 - 11*x**3/3 + 64*x**2. Let o(c) be the first derivative of h(c). Factor o(d).
4*(d + 25)**2
Let q(l) = -9*l**2 + 58*l + 2. Let c(w) be the first derivative of -65*w**3/3 + 405*w**2/2 + 15*w - 66. Let f(y) = -2*c(y) + 15*q(y). Factor f(t).
-5*t*(t - 12)
Let j be 4 - (-2 + 40/(-8) - -11). Suppose j*q + 3*q + f = 10, -2*q + 4*f + 2 = 0. Factor 1/2*x**q - 5/2*x + 3/2*x**2 - 1/2*x**4 + 1.
-(x - 1)**3*(x + 2)/2
Let q(d) = d**2 + d - 1. Let j(r) = -52*r**3 - 46*r**4 - 4 + 26*r**4 + 19*r**2 + 9*r**2 + 4*r. Let t(k) = -j(k) + 4*q(k). Determine p so that t(p) = 0.
-3, 0, 2/5
Let c = 158 + -124. Let g(p) be the first derivative of 21/20*p**5 + 111/16*p**4 + 33/2*p**2 + 6*p + 33/2*p**3 + c. Suppose g(s) = 0. What is s?
-2, -1, -2/7
Let s(g) be the second derivative of g**7/70 - g**6/5 - 369*g**5/100 - 18*g**4 - 162*g**3/5 - 3018*g. Solve s(d) = 0.
-3, -2, 0, 18
Let v(a) be the second derivative of 1/105*a**7 - 2/75*a**6 - 48*a + 0 + 0*a**2 + 1/15*a**4 + 0*a**5 - 1/15*a**3. Factor v(y).
2*y*(y - 1)**3*(y + 1)/5
Let h(z) = z**2 - 3*z + 7. Suppose -f + 32 = 5*q + 2, 0 = -3*q - 5*f + 40. Let k be h(q). Suppose -45*w - 75 - 3*w**2 + k*w - 2*w = 0. Calculate w.
-5
Let q = 786 - 774. Let w(z) be the first derivative of -1/14*z**2 - q + 1/21*z**3 - 2/7*z. Find g, given that w(g) = 0.
-1, 2
Let i(n) = n**2 + 31*n - 721. Let g be i(-47). Let b(h) be the second derivative of 0 + 1/9*h**4 - g*h - 5/18*h**3 - h**2. Solve b(y) = 0.
-3/4, 2
Let s(k) be the second derivative of -k**7/840 + k**5/120 - k**3/3 - 13*k**2/2 - 62*k. Let w(t) be the second derivative of s(t). Factor w(x).
-x*(x - 1)*(x + 1)
Suppose 72 = -21*x + 9*x. Let c be (-1)/(1/x) - (-4 + 8). Find r, given that -6*r**3 - 30*r**c + 33*r + 14*r**3 - 5*r**3 - 6*r**3 = 0.
-11, 0, 1
Let t(v) be the first derivative of 4*v**5/25 + 1556*v**4/5 + 807044*v**3/5 - 3112*v**2/5 - 2421136*v/5 + 8239. Find c such that t(c) = 0.
-778, -1, 1
Suppose 675/8*x + 51/8*x**2 + 625/8 + 1/8*x**3 = 0. Calculate x.
-25, -1
Let b(u) be the third derivative of -5*u**6/24 + 2*u**5 - 125*u**4/24 - 5*u**3 - 10*u**2 + 26*u. Let b(l) = 0. Calculate l.
-1/5, 2, 3
Let i(p) be the second derivative of p**5/50 - 3*p**4/2 - 16*p**3/5 + 92*p**2/5 - 225*p + 1. Let i(y) = 0. What is y?
-2, 1, 46
Let u = 4/65703 + 12614948/459921. Factor 243/7 + u*k**2 + 432/7*k.
3*(8*k + 9)**2/7
Let c = 48947/342727 + 2/48961. Let b(x) be the third derivative of -c*x**3 + 1/42*x**4 + 0 + 1/42*x**5 + 0*x - 12*x**2. Let b(l) = 0. Calculate l.
-1, 3/5
Let t = 1/1307 + -37905/2614. Let p = t - -16. What is x in -x**3 + 3/2*x - x**2 - 1/2*x**5 - 1/2 + p*x**4 = 0?
-1, 1
Suppose -1/9*k**4 + 2/3*k**3 + 80/3 + 37/3*k**2 + 344/9*k = 0. Calculate k.
-4, -1, 15
Let t(b) be the third derivative of -9*b**2 + 0*b**3 - 1/4*b**4 - 3 + 0*b - 1/20*b**5. Solve t(p) = 0.
-2, 0
Factor 415152/7*s**2 + 11160/7*s + 75/7.
3*(372*s + 5)**2/7
Factor 52/3*q**3 + 18*q - 107/3*q**2 + 1/3*q**4 + 0.
q*(q - 1)**2*(q + 54)/3
Let l(a) be the third derivative of -7*a**6/10 + 34*a**5/15 + 22*a**4 - 80*a**3/3 + 2*a**2 + 43. Let l(x) = 0. Calculate x.
-2, 2/7, 10/3
Let m(i) be the third derivative of 0*i + 0*i**3 - 11/48*i**4 - 1/360*i**5 - 50 - 4*i**2. Find t such that m(t) = 0.
-33, 0
Let s(z) = 8*z**2 - 674*z + 1217. Let t(l) = -2*l**2 + 170*l - 305. Let k(m) = 6*s(m) + 22*t(m). Solve k(p) = 0.
2, 74
Let r(a) be the third derivative of a**5/30 + a**4/12 - 4*a**3 - 2419*a**2. Let r(d) = 0. What is d?
-4, 3
Let z(x) = -x**3 - 8*x**2 - 15*x + 2. Let p = -52 + 47. Let m be z(p). Factor -n - n + m*n**3 + 0*n - 1 + n**4 + 0*n.
(n - 1)*(n + 1)**3
Let f(o) = -23*o**2 + 3687*o + 2588. Let p be f(161). Solve 4/7*m**2 + 80/7 - p*m = 0.
1, 20
Let k(j) be the second derivative of -j**9/83160 - j**8/18480 - j**7/13860 + 8*j**4/3 - 78*j. Let f(z) be the third derivative of k(z). Factor f(x).
-2*x**2*(x + 1)**2/11
Let h(u) = -8*u**2 + 1512*u - 285768. Let c(t) = 7*t**2 - 1512*t + 285768. Let y(d) = 6*c(d) + 5*h(d). Let y(j) = 0. Calculate j.
378
Let h(l) = -l + 5. Let o be h(-7). Suppose 4*u - 29 = -4*r - 9, 4*r = o. Suppose 4*i**2 + 0*i**2 - 16*i + 2*i**u - 10*i**2 = 0. Calculate i.
-4, 0
Suppose 64 = -2*g - 8. Let c = -33 - g. Find l, given that -4*l**2 - l**3 - 7*l**3 + 2*l**3 + c*l + l**2 = 0.
-1, 0, 1/2
Let k(v) be the first derivative of -14/3*v - 10/9*v**3 + 1/6*v**4 - 13/3*v**2 - 335. Factor k(i).
2*(i - 7)*(i + 1)**2/3
Let b be (-3)/(-75)*130 - 6/5. Find t, given that 2/3 - 1/3*t + 1/3*t**b - t**2 + 1/3*t**3 = 0.
-2, -1, 1
Suppose 3*j = -8*u + 2349 - 2372, 3*u - j - 19 = 0. Factor -4/7*x + 0 + 2/7*x**3 + 2/7*x**u.
2*x*(x - 1)*(x + 2)/7
Let p(k) be the second derivative of 43*k**7/84 - 217*k**6/60 + 177*k**5/20 - 47*k**4/6 + 2*k**3/3 + 6179*k. Determine l, given that p(l) = 0.
0, 2/43, 1, 2
Let x(l) = -68*l - 31. Let q be x(-1). Let a(j) = -16*j + 632. Let f be a(q). Solve 48/5*v + 0 + 14/15*v**5 + 10*v**4 - f*v**2 + 292/15*v**3 = 0 for v.
-6, 0, 2/7, 1
Let 202/5*t**3 + 208/5 - 2/5*t**4 + 618/5*t**2 + 622/5*t = 0. What is t?
-1, 104
Let k(w) be the third derivative of -1/42*w**7 + 0*w**4 + 0*w**6 + 0*w**3 + 0 + 0*w**5 + 5/336*w**8 + 0*w + 37*w**2. Factor k(t).
5*t**4*(t - 1)
Let c(b) be the second derivative of b**8/720 - b**7/630 - 13*b**4/4 + 18*b + 3. Let v(h) be the third derivative of c(h). Factor v(s).
4*s**2*(7*s - 3)/3
Let z(b) = b**3 - 6*b**2 + 96*b - 349. Let a be z(4). Let 1/5*r**a + 14/5*r - 8/5 - 7/5*r**2 = 0. Calculate r.
1, 2, 4
Let w = 7713896/11 + -701263. Solve 56/11*i - w*i**2 + 19/11 = 0.
-1/3, 19
Let d(w) be the first derivative of -w**4/20 + 2*w**3/3 + 37*w**2/10 + 26*w/5 + 1531. What is v in d(v) = 0?
-2, -1, 13
Suppose -3*y - 811 + 817 = 0. Factor -36*x - 105*x**3 + 17093*x**2 - 6 - 57*x - 16889*x**y.
-3*(x - 1)**2*(35*x + 2)
Let x = -32769 - -32769. Factor -9/4*i**2 + x - 3/4*i - 3/4*i**4 - 9/4*i**3.
-3*i*(i + 1)**3/4
Let q(r) be the second derivative of 0 + 106*r - r**3 + 9/2*r**2 + 1/12*r**4. Factor q(b).
(b - 3)**2
Let h be 258 + (-12)/(42/(-7)). Find m, given that 20*m + 1045*m**3 + h*m**2 + 1210*m**4 + 278 - 278 = 0.
-1/2, -2/11, 0
Let z(m) be the first derivative of -m**4/12 + 179*m**3/9 - 88*m**2 - 3258. Solve z(o) = 0 for o.
0, 3, 176
Let m be (1 - -5) + 459/(-85) + 9 - 144/(-360). Let m*i**4 + 193/3*i**3 + 1/3*i**5 - 160*i**2 + 256/3*i + 0 = 0. Calculate i.
-16, 0, 1
What is u in 1568/9*u + 2/9*u**3 + 112/9*u**2 + 0 = 0?
-28, 0
Let w(j) = j - 1. Let n(m) = -61*m - 40. Let d(l) = n(l) + 2*w(l). Let q be d(-14). Factor 785*x**2 + x - q*x**2 + 3*x - 5.
(x - 1)*(x + 5)
Let s(g) be the second derivative of -g**5/15 + 62*g**4/9 - 2296*g**3/9 + 13328*g**2/3 + 973*g. Let s(u) = 0. Calculate u.
14, 34
Let k(p) be the second derivative of p**6/6 - 35*p**4/4 + 50*p**3/3 - 3*p - 8. Factor k(z).
5*z*(z - 4)*(z - 1)*(z + 5)
What is l in 9*l + 12*l - l**3 + 906*l**2 - 11 - 915*l**2 = 0?
-11, 1
Let i(m) be the third derivative of m**8/1680 - m**7/1050 - m**6/24 + m**5/300 + 7*m**4/5 + 24*m**3/5 + 315*m**2. What is j in i(j) = 0?
-3, -1, 4
Let m(k) be the second derivative of -5/27*k**6 - 39*k + 7/30*k**5 - 1/18*k**4 + 0*k**2 + 0 + 1/21*k**7 - 2/27*k**3. Determine f so that m(f) = 0.
-2/9, 0, 1
Let i(b) be the first derivative of -36*b**5/5 - 51*b**4 + 2687*b**3/3 + 4216*b**2 - 61504*b + 3293. Find s, given that i(s) = 0.
-8, 31/6
Let q(s) = s**2 + 42*s + 152. Let x be q(-38). Suppose x = -19*l + 13*l. Let 1/4*y**4 + 1/4*y**3 - 1/4*y**2 - 1/4*y + l = 0. What is y?
-1, 0, 1
Let v = -4/9041 - -153725/63287. Solve -5/7*x**4 - v*x**3 - 6/7*x**2 + 0 + 0*x = 0.
-3, -2/5, 0
Let p be -15 + 0 + (-13755)/(-900). Let o(k) be the third derivative of -21*k**2 - 1/40*k**6 + 4/3*k**3 - 11/12*k**4 + 0 + 0*k + p*k**5. Factor o(l).
-(l - 4)*(l - 1)*(3*l - 2)
Let v(z) = 3*z**2 + 19*z - 10. Let l be v(-7). Suppose -7*u + 9*u = l. Solve 26/3*t + 8/3 - u*t**4 - 2/3*t**2 - 26/3*t**3 = 0 for t.
-4, -1, -1/3, 1
Let n be ((-19320)/10350)/((-14)/6). Let h be ((0 - 2) + 6)/5. Factor -h*k**2 + 0 + n*k + 1/5*k**3.
k*(k - 2)**2/5
Factor 17*q**4 - q**3 - 8*q**2 - 4 - q**2 - 11*q - 24*q**4 + 8*q**4.
(q - 4)*(q + 1)**3
Let s(h) be the first derivative of h**5/15 + 782*h**4/3 + 1223048*h**3/3 + 956423536*h**2/3 + 373961602576*h/3 - 3173. Determine f, given that s(f) = 0.
-782
Let z(o) be the second derivative of -8