be the second derivative of -3*a + 12/5*a**3 - 1/30*a**4 - 324/5*a**2 - 3. Factor h(s).
-2*(s - 18)**2/5
Let j(h) be the first derivative of 2*h**3/33 + 25*h**2/11 - 52*h/11 - 942. Factor j(l).
2*(l - 1)*(l + 26)/11
Suppose 105*n + 31*n = 1360. Let v(w) be the second derivative of -1/6*w**3 + n*w + 0 + w**2 + 1/15*w**6 - 1/2*w**5 - w**4 + 1/14*w**7. Let v(s) = 0. What is s?
-1, 1/3, 2
Let o = 21215/12 - 7069/4. Determine q so that 0*q**4 + o*q**5 + 0 + 4/3*q**2 - 2*q**3 + 0*q = 0.
-2, 0, 1
Let b(v) be the third derivative of v**7/105 + 2*v**6/15 - 14*v**5/5 - 208*v**4/3 - 1280*v**3/3 + 14519*v**2. Find o, given that b(o) = 0.
-8, -2, 10
Suppose 1484*f + 98 = 1533*f. Let x(v) be the first derivative of -37 - 30*v + 25/2*v**f + 5/3*v**3. Solve x(i) = 0.
-6, 1
Let h(k) be the third derivative of 0*k + 2/3*k**3 + 5/168*k**8 + 8/105*k**7 - 1/12*k**4 + 7 - 1/3*k**5 + 3*k**2 - 1/15*k**6. Solve h(m) = 0 for m.
-1, 2/5, 1
Let s(c) be the third derivative of c**5/10 + 17*c**4/6 + 73*c**2. Determine m so that s(m) = 0.
-34/3, 0
Let t = 20385 - 81537/4. Let p(q) be the second derivative of t*q**5 + 2*q**3 + 43/24*q**4 + q**2 + 0 - 37*q + 7/60*q**6. Factor p(k).
(k + 1)**2*(k + 2)*(7*k + 2)/2
Let o be (8/(-10))/(252/(-90))*7. Let d(b) be the first derivative of b**5 - 5/6*b**6 + 5/4*b**4 + 24 + 0*b + 0*b**o - 5/3*b**3. Factor d(l).
-5*l**2*(l - 1)**2*(l + 1)
Let o = -5 + 3. Let h be 1/(o/((0 - -3) + -13)). Factor -3*p**3 - p**3 + 4*p**4 - 4*p**3 + 27*p**h - 23*p**5.
4*p**3*(p - 1)*(p + 2)
Let u(y) be the second derivative of 0*y**2 + 0 + 5/18*y**6 - 5/9*y**4 + 2/3*y**5 + 0*y**3 + 58*y. Factor u(v).
5*v**2*(v + 2)*(5*v - 2)/3
Let k(s) be the third derivative of 0*s - 97*s**2 - 1/120*s**5 + 0 + 21/16*s**4 - 31/6*s**3. Let k(a) = 0. What is a?
1, 62
Let q(n) be the third derivative of -n**7/6 - 17*n**6/6 + 37*n**5/4 + 80*n**4/3 - 110*n**3/3 + 2550*n**2. What is t in q(t) = 0?
-11, -1, 2/7, 2
Let u = -334/253 + 371465/1771. Let h = u - 208. Suppose -3/7*l - h*l**2 + 0 = 0. Calculate l.
-1, 0
Let b = -12 - -11. Let g be 2/(((-8)/(-12))/(b - -2)). Let 7*s - 47*s + g - 50*s**2 - 11 = 0. Calculate s.
-2/5
Suppose -902 = -1041*l + 197 + 949 + 34. Suppose -16/11*b**3 - 2/11*b**4 + 16/11*b - 12/11*b**l + 14/11 = 0. Calculate b.
-7, -1, 1
Determine x, given that 13*x - 29*x + 317 + 20 - 76*x**2 + 4*x**3 - 28 - 5 = 0.
-2, 2, 19
Suppose u - 13 = 5*l, 5*u = -l + 221 - 208. Suppose -3*r - 10*y = -12*y - u, y - 3 = 0. Determine q so that 1/2*q + 1/2*q**2 - r = 0.
-3, 2
Let x be 6 + (581 - 5 - 7). Let l = 6327/11 - x. Solve -l*f**2 + 0*f + 0 = 0 for f.
0
Let r(k) be the first derivative of -k**6/15 - 4*k**5/5 - 12*k**4/5 - 44*k**3/15 - 7*k**2/5 + 4030. Factor r(y).
-2*y*(y + 1)**3*(y + 7)/5
Let g(l) be the first derivative of 21*l**5/5 + 213*l**4/2 - 1913*l**3 + 5778*l**2 + 3780*l - 88. Let g(p) = 0. What is p?
-30, -2/7, 3, 7
Suppose 280 = 5*u + 5*j, 5*j - 21 = u - 101. Let -u*a - 32*a**3 + 24*a**3 - 20*a - 115*a**2 - 62*a**3 - 20 - 15*a**4 = 0. What is a?
-2, -1, -2/3
Factor -24 + 1/2*d**3 - 28*d - 7/2*d**2.
(d - 12)*(d + 1)*(d + 4)/2
What is z in 239*z + 158 - 118 + 80 + 2*z**3 - 50*z**2 - 174*z + 3*z**3 = 0?
-1, 3, 8
Let g(s) be the second derivative of -95*s**4 - 1/30*s**6 + 4000*s**2 - 7 - 59/20*s**5 + 11*s - 3400/3*s**3. Factor g(j).
-(j - 1)*(j + 20)**3
Let w = -1/3145 - -639/31450. Let y(a) be the second derivative of 16*a - 7/15*a**3 - 1/15*a**4 - 4/5*a**2 + w*a**5 + 0. Find q such that y(q) = 0.
-1, 4
Suppose 33*b = 490*b - 914. Factor 0*p**3 - 6/11 - 12/11*p**b + 2/11*p**4 - 16/11*p.
2*(p - 3)*(p + 1)**3/11
Factor -215/3*d**2 - 169/6 + 23/6*d**4 - 47/3*d**3 - 1/6*d**5 - 481/6*d.
-(d - 13)**2*(d + 1)**3/6
Let x(l) = -l**2 + 6*l + 31. Let o be x(9). Let c(t) be the second derivative of 6/7*t**2 - 1/28*t**o + 4*t + 0*t**3 + 0. Suppose c(h) = 0. Calculate h.
-2, 2
Let r(t) = t**3 - 189*t**2 + 1612*t + 72. Let j be r(9). Factor -1/3*b**2 - 7*b + j.
-b*(b + 21)/3
Let p(t) = -22*t**5 - 1156*t**4 - 164694*t**3 + 672852*t**2 - 677388*t + 20. Let q(f) = f**5 - f**3 - 3*f**2 - 3*f - 1. Let b(l) = p(l) + 20*q(l). Factor b(x).
-2*x*(x - 2)**2*(x + 291)**2
Let i(z) be the first derivative of -1225*z + 35*z**2 - 1/3*z**3 + 69. Factor i(n).
-(n - 35)**2
Find h, given that 0 - 31/5*h**2 + 0*h**3 + 6*h + 1/5*h**4 = 0.
-6, 0, 1, 5
Let o(h) = -3*h**2 + 546*h - 24768. Let s be o(88). Factor -64/3 - 97/3*y**2 - 1/3*y**4 - 6*y**3 - s*y.
-(y + 1)**2*(y + 8)**2/3
Let a(q) be the third derivative of 9*q**7/35 - q**6/40 - 9*q**5/10 + q**4/8 - 6140*q**2. Find w, given that a(w) = 0.
-1, 0, 1/18, 1
Let v(b) be the third derivative of b**7/1575 + b**6/60 + 31*b**5/225 + 2*b**4/5 + 6723*b**2. Factor v(s).
2*s*(s + 2)*(s + 4)*(s + 9)/15
Let y(w) be the third derivative of -w**7/1260 + w**6/360 + w**4/12 + 9*w**3/2 - 9*w**2. Let u(k) be the second derivative of y(k). Find v such that u(v) = 0.
0, 1
Let y be (4 - 0 - 1) + -67 + -821. Let v = -881 - y. Factor -8/9*l**v - 40/9*l**3 - 8/9 - 22/3*l**2 - 40/9*l.
-2*(l + 2)**2*(2*l + 1)**2/9
Find y such that 2/5*y**5 + 128/15*y - 8/5 - 10/3*y**4 - 214/15*y**2 + 154/15*y**3 = 0.
1/3, 1, 2, 3
Let c(f) = 16*f**2 - 36*f + 62. Let b(d) = -20*d**2 + 35*d - 62. Let g(v) = -3*b(v) - 4*c(v). Factor g(q).
-(q - 2)*(4*q - 31)
Suppose -6*j + 62 = -2*j + 5*q, -2*j + 16 = q. Suppose 0 + 2/3*u**j + 56/3*u**2 + 392/3*u = 0. Calculate u.
-14, 0
Let f(s) be the first derivative of s**4/16 + 5*s**3/3 - 43*s**2/8 + 11*s/2 + 2366. Factor f(u).
(u - 1)**2*(u + 22)/4
Suppose 9*n + 0*n = 153. Suppose 4*o - p = n, 3*o + 102*p + 11 = 98*p. Factor 0 + 4/5*v + 8/5*v**2 - 12/5*v**o.
-4*v*(v - 1)*(3*v + 1)/5
Let f(p) be the first derivative of 1/30*p**5 + 9*p**2 + 1/2*p**4 + 0*p + 23 + 3*p**3. Let u(d) be the second derivative of f(d). Suppose u(o) = 0. Calculate o.
-3
Let l(x) be the second derivative of -6*x - 1/70*x**5 + 2/7*x**2 + 1/21*x**3 - 10 - 1/21*x**4. Find c, given that l(c) = 0.
-2, -1, 1
Suppose 439*h**2 - 871*h**2 + 266*h - 2816 + 436*h**2 + 422*h = 0. What is h?
-176, 4
Let m(k) be the third derivative of -k**6/960 - 13*k**5/120 - 467*k**4/192 + 65*k**3/6 - 2*k**2 + k - 576. Factor m(c).
-(c - 1)*(c + 13)*(c + 40)/8
Let s(g) be the first derivative of -g**4 + 124*g**3/3 - 348*g**2 + 576*g + 1774. Determine l so that s(l) = 0.
1, 6, 24
Let c be 29/2*(13 - -3)/8. Let o = -24 + c. Factor 8 + 4*n**2 - 8*n - 15 + o + 6.
4*(n - 1)**2
Let g(b) be the first derivative of 3*b**4/4 + 13*b**3 + 15*b**2 - 72*b - 1297. Determine j, given that g(j) = 0.
-12, -2, 1
Let u(s) be the second derivative of -16/9*s**3 - 8*s**2 + 0 - 1/9*s**4 + 9*s. Factor u(g).
-4*(g + 2)*(g + 6)/3
Solve -5/4*r**2 - 2359845 - 3435*r = 0.
-1374
Let r(j) be the third derivative of -j**6/1800 + j**4/120 - 28*j**3/3 + 100*j**2. Let u(h) be the first derivative of r(h). Let u(o) = 0. What is o?
-1, 1
Let l be (77/14 - 4)*(-5 + 6/2 + 4). Solve -5/4*b**l - b + 0 + 3*b**2 = 0.
0, 2/5, 2
Let n(x) = 4*x**2 + 113*x - 208. Let t be n(-30). Let k(z) be the second derivative of -1/12*z**3 + 0 + 18*z + 3/8*z**t - 1/48*z**4. Solve k(m) = 0.
-3, 1
Suppose 188*w + 30 = -5*b + 192*w, 0 = -4*b - 9*w + 98. Solve -2/11*c**b + 0 + 20/11*c = 0 for c.
0, 10
Suppose 5*a = 2*s - 2, -11*a = -3*a + 3*s - 65. Solve -96*j - 3/2*j**a + 72 - 28*j**2 + 16*j**3 = 0.
-2, 2/3, 6
Let l(v) be the second derivative of v**6/15 + 9*v**5/10 + 3*v**4 - 4*v**3/3 - 24*v**2 - 6*v + 30. Find b, given that l(b) = 0.
-6, -2, 1
Solve -912/5*j - 864/5 - 2/15*j**3 - 146/15*j**2 = 0.
-36, -1
Let l(c) be the first derivative of 178 - c**3 + 90*c + 3/2*c**2. Suppose l(i) = 0. Calculate i.
-5, 6
Let m be (5244/(-2185))/(-2 - 1). Factor -14/5*r**3 - 4/5 + m*r**2 + 14/5*r.
-2*(r - 1)*(r + 1)*(7*r - 2)/5
Let v = 133 - 118. Suppose 0 = 4*t + p - v, -19*p - 7 = -t - 16*p. Solve -2/15*s**2 + 0 - 2/15*s**3 - 2/5*s**5 + 0*s + 2/3*s**t = 0.
-1/3, 0, 1
Let z(k) be the first derivative of -k**3/12 + 55*k**2/4 - 1089*k/4 + 11041. Factor z(v).
-(v - 99)*(v - 11)/4
Determine n so that 140/3*n + 40*n**3 + 272/3*n**2 - 16/3*n**4 - 4/3*n**5 + 0 = 0.
-7, -1, 0, 5
Let l(j) = -60 + 2*j - 8*j - 15*j + 15*j**2 - 4*j. Let b(a) = 8*a**2 - 14*a - 30. Let p(d) = -5*b(d) + 3*l(d). Determine u so that p(u) = 0.
-2, 3
Let n = -215879 - -215881. Factor 14*i - 2/5*i**5 + 20*i**2 + 12*