actor -7*x + 1/2*x**4 - 8*x**2 + 7*x**3 + g.
(x - 1)**2*(x + 1)*(x + 15)/2
Let z = 3490 - 3484. Let u(b) be the second derivative of 2*b + 0 + 7/20*b**5 - 7/6*b**3 - 2/15*b**z + 1/2*b**4 - b**2. Solve u(i) = 0 for i.
-1, -1/4, 1, 2
Let a(o) be the second derivative of 6/7*o**2 + 5/21*o**3 + 0 + 65*o - 1/42*o**4. Determine l so that a(l) = 0.
-1, 6
Let m(a) be the third derivative of -a**6/720 + a**5/80 + a**4/12 + 19*a**3/6 - 3*a**2 - 7*a. Let w(p) be the first derivative of m(p). Factor w(u).
-(u - 4)*(u + 1)/2
Suppose -7*d + 12*d = 85. Suppose -28 = 3*u - d*u. Factor 10 - 20 + 10 - 2*q + q**u.
q*(q - 2)
Let z(w) be the first derivative of -w**5/30 + 29*w**4/6 - 1739*w**3/9 + 551*w**2 - 1083*w/2 - 1179. Solve z(r) = 0.
1, 57
Let n(d) = 2*d**4 + 62*d**3 - 12*d**2 - 72*d - 5. Let i(f) = f**4 + 31*f**3 - 7*f**2 - 37*f - 3. Let p(a) = 5*i(a) - 3*n(a). Suppose p(j) = 0. What is j?
-31, -1, 0, 1
Let g(q) be the first derivative of 7*q + 19*q**3 - 111 + 41/2*q**2 - 9/4*q**4. Factor g(d).
-(d - 7)*(3*d + 1)**2
Factor 31*s + 57*s - 154*s - 137*s + s**2.
s*(s - 203)
Let n(k) be the first derivative of -2*k**5/5 - 4*k**4 - 4*k**3 + 72*k**2 + 270*k + 213. Factor n(x).
-2*(x - 3)*(x + 3)**2*(x + 5)
Factor 208/11*d + 34/11*d**2 + 24 - 2/11*d**3.
-2*(d - 22)*(d + 2)*(d + 3)/11
Let l(u) = -3*u**3 - 5*u**2 - 17*u + 25. Let r be l(1). Let r - 2/3*f - 8/9*f**2 - 2/9*f**3 = 0. Calculate f.
-3, -1, 0
Suppose 0 = -4*x + 88 - 80. Factor -p - p - 3*p**x - 2*p - 25*p**2 - 24*p**3.
-4*p*(p + 1)*(6*p + 1)
Let v(u) be the third derivative of u**7/630 + 223*u**6/40 + 83834*u**5/15 - 126002*u**4/9 - 5206*u**2. Factor v(h).
h*(h - 1)*(h + 1004)**2/3
Let z(u) be the second derivative of u**5/30 - 31*u**4/2 + 2883*u**3 + 86*u**2 + 166*u. Let s(c) be the first derivative of z(c). Factor s(a).
2*(a - 93)**2
Let a(t) be the first derivative of 2*t**3/21 - 20*t**2/7 + 192*t/7 + 3552. Factor a(z).
2*(z - 12)*(z - 8)/7
Let l(w) be the first derivative of -w**3/7 + 282*w**2/7 + 81*w - 4964. Factor l(z).
-3*(z - 189)*(z + 1)/7
Let w be 10 + (-708)/54 - (-84)/21. What is b in 88/9*b - 10/9*b**3 - 32/3 + 2/9*b**4 - w*b**2 = 0?
-3, 2, 4
Suppose -24*u = -32*u + 16. Let g(l) be the second derivative of -9/4*l**5 + 1/2*l**4 + 0 + 8/7*l**7 + 0*l**3 + 0*l**u + 12/5*l**6 + 11*l. Solve g(i) = 0 for i.
-2, 0, 1/4
Let a be (-146752)/(-366480) + (-10)/25. Let m = a - -13735/18324. Solve 1/8*j**3 - 7/8*j + 0 - m*j**2 = 0.
-1, 0, 7
Let f(d) be the second derivative of -1 + 0*d**2 - 16/21*d**3 + 1/70*d**5 + 124*d - 1/7*d**4. Factor f(m).
2*m*(m - 8)*(m + 2)/7
Suppose 9*k + 42 = 69. What is w in 123*w**2 - 22*w**3 - 131*w**2 + 4*w**3 + 36*w**4 - 10*w**k = 0?
-2/9, 0, 1
Let a(q) be the first derivative of -q**5/25 + 2*q**4/5 - 23*q**3/15 + 14*q**2/5 - 12*q/5 + 3246. Factor a(h).
-(h - 3)*(h - 2)**2*(h - 1)/5
Let o(c) be the second derivative of 13/3*c**3 - 1/12*c**4 - 74*c - 169/2*c**2 + 0. Find r such that o(r) = 0.
13
Factor 3/2*z**2 + 0 + 90*z - 1/2*z**3.
-z*(z - 15)*(z + 12)/2
Let s(u) be the third derivative of 0 + 0*u - 8/9*u**3 - 1/180*u**5 - 17/72*u**4 - 67*u**2. Let s(p) = 0. What is p?
-16, -1
Suppose -5*t = 16*z - 15*z - 24, -20 = -5*t. Factor 60*q**2 - 43*q + 2*q**z - 87 + 51*q - 26*q**3 + 7.
2*(q - 10)*(q - 2)**2*(q + 1)
Let -56*i**3 + 630*i**2 - 520*i - 5*i**4 + 25*i**3 - 353935 - 74*i**3 + 353935 = 0. Calculate i.
-26, 0, 1, 4
Let b(y) = 27*y + 280. Let t be b(-10). Solve -4*j**2 - 10*j**2 - t*j**2 - 105*j - 250 + 2*j**2 - j**3 + 106 = 0 for j.
-16, -3
Let m = -590 - -830. Let v be (-5)/(m/6) - (-23)/56. Let 0 - v*p**3 + 0*p + 0*p**2 + 5/7*p**4 = 0. Calculate p.
0, 2/5
Find i, given that 1/4*i**3 - 282*i**2 + 106032*i - 13289344 = 0.
376
Let f(n) be the second derivative of 11/2*n**2 + 1/20*n**5 - 17/24*n**4 + 0 + 5/3*n**3 + 17*n. Let s(y) be the first derivative of f(y). Factor s(u).
(u - 5)*(3*u - 2)
Let l = -694/3 + 232. Let u(x) be the second derivative of -1/5*x**5 + 0*x**2 - l*x**3 - 2/3*x**4 + 14*x + 0. Suppose u(y) = 0. Calculate y.
-1, 0
Let a(l) be the third derivative of -l**6/480 - 7*l**5/80 + l**4 + 352*l**3/3 + 54*l**2 + 10. Factor a(c).
-(c - 11)*(c + 16)**2/4
Let l = 202 + -182. Determine o, given that -l*o**5 - 20*o + 20*o - 4*o**3 - 212*o**2 - 43*o**4 + 216*o**2 = 0.
-2, -2/5, 0, 1/4
Suppose 0 = 247*i - 268*i + 336. Let f be (i/(-8) - -4)/6. Solve -2*j - f*j**2 - 3 = 0 for j.
-3
Let w(h) be the second derivative of -8*h**2 - 73/12*h**4 - 2*h - 1/42*h**7 - 28/3*h**3 - 11/30*h**6 - 43/20*h**5 - 1. What is i in w(i) = 0?
-4, -1
Let a(v) be the third derivative of -v**8/1176 + 37*v**7/2205 - 13*v**6/210 - 23*v**5/63 - v**4/4 + 7*v**3/9 - 1268*v**2 - 3*v. Solve a(k) = 0.
-1, 1/3, 7
Let t(c) = -32*c**3 + 18*c**2 + 152*c + 94. Let i(j) = 2*j**4 + 160*j**3 - 89*j**2 - 760*j - 469. Let y(u) = 2*i(u) + 11*t(u). Factor y(h).
4*(h - 6)*(h - 4)*(h + 1)**2
Let p(f) = 4792*f - 215637. Let z be p(45). Factor z*v + 35/4 + 1/4*v**2.
(v + 5)*(v + 7)/4
Suppose 632*t = 651*t - 38. Factor 0*k + 11/3*k**3 + 0 - 5/3*k**t + 1/3*k**5 - 7/3*k**4.
k**2*(k - 5)*(k - 1)**2/3
Suppose 8 = 2*z - 2*k, 10*z + k - 4 = 7*z. Solve 100*q**4 + z*q**5 + 232*q**3 - 2*q**5 + 2 + 14 + 112*q + 16*q**5 + 244*q**2 = 0 for q.
-2, -1, -1/4
Suppose 9*n + 32*n = -19*n - 18*n. Let r(g) be the third derivative of 11/6*g**4 + 17/30*g**6 + 7/5*g**5 + 2/21*g**7 + n*g + 4/3*g**3 + 7*g**2 + 0. Factor r(b).
4*(b + 1)**3*(5*b + 2)
Let a(j) be the first derivative of -j**8/840 - j**7/210 + j**6/180 + j**5/30 - 73*j**3/3 - 87. Let g(z) be the third derivative of a(z). Factor g(d).
-2*d*(d - 1)*(d + 1)*(d + 2)
Let h = -56 - -48. Let y(a) = 30*a**2 + 116*a + 70. Let t(i) = 20*i**2 + 77*i + 46. Let x(v) = h*t(v) + 5*y(v). Factor x(q).
-2*(q + 3)*(5*q + 3)
Suppose -4*n - 7*d = -3*d - 20, -2*n - d = -7. Suppose 0 = 6*o - o - 200. Factor -6*m - o*m**3 - 2*m + 44*m**3 + 4*m**n.
4*m*(m - 1)*(m + 2)
Let i(a) = -40*a**3 - 3360*a**2 + 6749*a - 3384. Let m(q) = 12*q**3 + 1120*q**2 - 2250*q + 1128. Let u(s) = -2*i(s) - 7*m(s). What is d in u(d) = 0?
-282, 1
Factor -555458 + 2458*f - 1344*f**2 - 350*f + 676*f**2 + 666*f**2.
-2*(f - 527)**2
Let a(m) be the third derivative of m**6/420 + 526*m**5/105 + 275621*m**4/84 - 555458*m**3/21 + 2*m**2 - m + 1402. What is o in a(o) = 0?
-527, 2
Let b(v) = -v**4 + v**2. Let i = -66 - -143. Let a(d) = 42*d**3 - 3*d**2 + 4*d - i*d**3 + 40*d**3 - 6*d**4. Let j(z) = -2*a(z) + 10*b(z). Factor j(q).
2*q*(q - 2)**2*(q - 1)
Let m(f) be the second derivative of 5*f**4/12 + 145*f**3/6 + 300*f**2 - 2073*f. Factor m(v).
5*(v + 5)*(v + 24)
Let g(x) be the first derivative of -x**4/10 - 4*x**3/15 + 43*x**2/5 + 56*x + 7608. Let g(z) = 0. Calculate z.
-5, -4, 7
Let z(o) = -o**3 - 8*o**2 - 6*o. Let s = -62 + 54. Let p be z(s). Factor p + 22*w + 47*w - 45*w + 3*w**2.
3*(w + 4)**2
Suppose -128000000/3*r - 12800000000/3 - 800/3*r**3 - 160000*r**2 - 1/6*r**4 = 0. Calculate r.
-400
Let x(w) be the third derivative of -w**8/2520 - 4*w**7/225 - 61*w**6/180 - 799*w**5/225 - 329*w**4/15 - 392*w**3/5 + 2165*w**2. Find j such that x(j) = 0.
-7, -6, -2
Let f = -13596 - -13600. Factor 8/13*a**3 - 2/13*a**4 - 120/13*a + f*a**2 - 450/13.
-2*(a - 5)**2*(a + 3)**2/13
Let o(w) be the second derivative of -1/720*w**6 + 0 + 0*w**4 - 1/60*w**5 + 0*w**2 - 28*w + 1/6*w**3. Let k(s) be the second derivative of o(s). Factor k(a).
-a*(a + 4)/2
Suppose 97 = -7*v + 125. Suppose 9 = -13*i + 16*i - 3*k, 3*i - 10 = v*k. Factor 0 + 2/5*t**i + 2/5*t**3 - 4/5*t.
2*t*(t - 1)*(t + 2)/5
Let i(g) = g**4 - 3*g**3 - g**2 + g. Let n(d) = 53*d**4 + 81*d**3 - 348*d**2 - 72*d + 320. Let l(s) = -8*i(s) + n(s). Factor l(r).
5*(r + 1)*(r + 4)*(3*r - 4)**2
Let q(v) = -175*v**4 + 1775*v**3 + 145*v**2 - 4880*v - 3455. Let r(b) = -11*b**4 + 111*b**3 + 9*b**2 - 305*b - 216. Let h(o) = -6*q(o) + 95*r(o). Factor h(g).
5*(g - 21)*(g - 2)*(g + 1)**2
Let t(w) be the third derivative of -w**5/20 - 19*w**4/8 + 126*w**3 + 1611*w**2. Determine v so that t(v) = 0.
-28, 9
Factor 22/3*p**4 + 0*p + 3*p**5 + 17/3*p**3 + 4/3*p**2 + 0.
p**2*(p + 1)**2*(9*p + 4)/3
Let r(q) be the second derivative of q**6/270 + 31*q**5/180 - 11*q**4/36 - 31*q**3/54 + 16*q**2/9 + 2*q + 1819. Factor r(z).
(z - 1)**2*(z + 1)*(z + 32)/9
Factor 3/8*b**3 + 627/8*b + 255/4 + 15*b**2.
3*(b + 1)*(b + 5)*(b + 3