actor t(m).
-2*(m + 1)**2*(m + 4)*(m + 40)
Let l = -149449/21 - -7117. Let g(i) be the third derivative of l*i**3 + 0 + 2/21*i**4 + 1/105*i**5 + 0*i - 7*i**2. Factor g(j).
4*(j + 2)**2/7
Suppose -182*q - 1318 = -841*q. Solve -2/9*a**q + 152/9*a - 2888/9 = 0 for a.
38
Let x(s) = 14468*s + 28940. Let m be x(-2). Solve 8/15*w + 56/15*w**2 - 2/5*w**m - 32/15 + 2/3*w**3 = 0 for w.
-2, -1, 2/3, 4
Let h(r) be the third derivative of r**5/60 + 7*r**4/12 - 369*r**3/2 + r**2 + 3*r + 107. Solve h(w) = 0 for w.
-41, 27
Let l = -459895/3 + 154029. Determine j, given that -196*j**5 - 268*j**3 - 5432/3*j**4 + l*j + 96 + 1448*j**2 = 0.
-9, -2/3, -2/7, 1
Let m be 322/42 - ((-609)/(-126) + (-1)/(-6)). Factor 2*r**2 + 0*r - m - 2/3*r**3.
-2*(r - 2)**2*(r + 1)/3
Let o = 11 - 4. Suppose 3*d + 52 = o*d. Factor -c**4 - 14*c**3 + d*c**3 + 0*c**2 + 0*c**2.
-c**3*(c + 1)
Let r(q) be the first derivative of -q**6/90 - q**5/6 + 131*q + 165. Let h(o) be the first derivative of r(o). Factor h(j).
-j**3*(j + 10)/3
Suppose 3*v - 45*v + 9*v = 29*v. Let f(a) be the second derivative of -15/2*a**3 - 4*a + 10*a**2 + 5/2*a**4 - 1/4*a**5 + v. Solve f(o) = 0.
1, 4
Suppose 13 = 5*f + 2*r + 2, 2*f - 2*r + 4 = 0. Let u be 2025/(-360)*(f - -1 - 14). Suppose u*p + 25/2*p**3 + 135/4 + 45*p**2 + 5/4*p**4 = 0. What is p?
-3, -1
Let 6*x**3 - 388*x + 827*x**2 - 276 + 109*x - 278*x**2 = 0. What is x?
-92, -1/2, 1
Let w(g) = -10*g**3 - 36*g**2 - 16*g. Let d(s) = -4*s + 52. Let b be d(17). Let o(u) = 3*u**3 + 12*u**2 + 5*u. Let t(i) = b*o(i) - 5*w(i). Factor t(m).
2*m**2*(m - 6)
Let w(t) be the third derivative of t**5/220 - 173*t**4/132 - 116*t**3/33 - 1420*t**2. Determine i, given that w(i) = 0.
-2/3, 116
Find q, given that 311*q - 282 + 29 - 40 + q**2 - 374 + 41 = 0.
-313, 2
Let r be 4*(-1 + 112/64). Let s(i) be the third derivative of 0*i**r + 0*i + 1/165*i**5 + 1/660*i**6 + 1/132*i**4 + 25*i**2 + 0. Let s(t) = 0. What is t?
-1, 0
Let k = 247041/7 + -36057. Let n = -764 - k. What is o in n*o + 2*o**2 - 4/7 = 0?
-1, 2/7
Suppose 0 = 2*z + 8, -4*j + 9*j - 100 = -5*z. Let p(n) be the first derivative of 69/2*n**2 + 31 + 3*n**3 - j*n. Determine r, given that p(r) = 0.
-8, 1/3
Let z be 0/((1 - 4)/((-3)/2)). Suppose 2*d + 2*o + 10 - 6 = 0, z = -d - 4*o - 14. Factor 2/3*h - 2/3*h**3 - 1/3 + 1/3*h**4 + 0*h**d.
(h - 1)**3*(h + 1)/3
Let v(u) be the first derivative of -u**7/63 + 2*u**6/45 + 2*u**5/15 - 4*u**4/9 + 79*u + 39. Let x(o) be the first derivative of v(o). Factor x(i).
-2*i**2*(i - 2)**2*(i + 2)/3
Let c(f) be the third derivative of -236*f**2 + 0*f + 1/210*f**5 - 5/42*f**4 + 0 + 3/7*f**3. Suppose c(o) = 0. Calculate o.
1, 9
Let x(l) = l**3 + 27*l**2 - 91*l - 28. Let v(f) = f**2 + 13*f - 8. Let z be v(-11). Let q be x(z). Factor 3/2 + 7/8*b**2 + 1/8*b**3 + q*b.
(b + 2)**2*(b + 3)/8
Let j(r) be the second derivative of -3*r + 0*r**3 - 1/21*r**7 - 1/2*r**5 + 0*r**2 + 1/3*r**4 + 9 + 4/15*r**6. Factor j(x).
-2*x**2*(x - 2)*(x - 1)**2
Let p(j) be the first derivative of 6*j**5/7 - 74*j**4/7 - 1150*j**3/21 - 464*j**2/7 - 104*j/7 - 2672. Determine a so that p(a) = 0.
-2, -1, -2/15, 13
Let s be 3/((-38)/(-4) + -8). Suppose 291*j + 4036 + 163*j - 314*j - 1586 + 2*j**s = 0. Calculate j.
-35
Let i(k) be the second derivative of 1/40*k**5 + 14*k**3 + 4 - 25/24*k**4 - 7*k - 36*k**2. Let i(a) = 0. Calculate a.
1, 12
Suppose 37 = -3*l + 2*l - 5*p, 2*p = l + 30. Let q = l + 34. Factor -20*f**3 + 10*f**2 - 3*f**4 - 8*f - 8*f - f**4 - 42*f**q.
-4*f*(f + 1)*(f + 2)**2
Let k(n) = -371*n**2 - 385*n + 16. Let b(a) = -370*a**2 - 380*a + 15. Let s(u) = -6*b(u) + 5*k(u). Suppose s(r) = 0. Calculate r.
-1, 2/73
Let s(t) = -14*t**4 + 28*t**3 + 21*t**2 - 112*t. Let o(i) = 34*i**4 - 70*i**3 - 52*i**2 + 280*i. Let j(p) = 5*o(p) + 12*s(p). Find w such that j(w) = 0.
-2, 0, 2, 7
Let f(u) be the first derivative of 2*u**5/25 - 25*u**4/2 - 344*u**3/5 + 4096. Let f(k) = 0. What is k?
-4, 0, 129
Let l(h) = -8*h**3 - 772*h**2 + 3188*h - 3236. Let y(z) = 9*z**3 + 769*z**2 - 3189*z + 3245. Let b(v) = -5*l(v) - 4*y(v). Let b(m) = 0. Calculate m.
-200, 2
Let d be 34*((1 - 6) + (-5137)/(-1023)). Let z = d - 2/31. Factor 8/3 + z*k**2 + 8/3*k.
2*(k + 2)**2/3
Let w be (-12)/(-40)*((-4354)/336 + 14). Let j(x) be the second derivative of 11*x + 0*x**2 + 3/80*x**5 + 0 + w*x**4 + 0*x**3. Suppose j(p) = 0. What is p?
-5, 0
Factor -413*m + 1561*m + m**2 + 314 + 224*m + 3*m**2 + 1054.
4*(m + 1)*(m + 342)
Let m(k) = k**4 + 3*k**3 + k - 1. Let l(b) = -7*b**4 - 3*b**3 + 252*b**2 + 812*b + 580. Let c(t) = l(t) + 4*m(t). Find h, given that c(h) = 0.
-4, -1, 12
Let f(s) be the third derivative of -s**7/525 + s**6/75 - s**5/25 + s**4/15 - s**3/15 + 1114*s**2. Factor f(n).
-2*(n - 1)**4/5
Let z = 118695 + -118692. Find d such that 6/7 + 2/7*d**z + 10/7*d**2 + 2*d = 0.
-3, -1
Let p(i) be the first derivative of i**6/6 + 652*i**5/5 - 3*i**4/4 - 1958*i**3/3 - 652*i**2 + 9951. Determine l, given that p(l) = 0.
-652, -1, 0, 2
Let i(k) be the third derivative of k**6/960 + 37*k**5/96 + 6691*k**2. Factor i(a).
a**2*(a + 185)/8
Let o(k) be the second derivative of -k**5/120 + 83*k**4/72 - 1015*k**3/36 + 1127*k**2/4 + 2*k + 1860. Let o(g) = 0. Calculate g.
7, 69
Factor 147*y**2 + 1444/3*y - 1/3*y**4 + 8*y**3 + 444.
-(y - 37)*(y + 2)**2*(y + 9)/3
Determine k so that 0 - 1/7*k**4 + 15/7*k**3 + 0*k - 2*k**2 = 0.
0, 1, 14
Let d(m) = 22*m**2 + 6*m - 1. Let v be d(-1). Let s be (72/495)/(2/v). Factor 4/11*l**5 + s*l**4 + 6/11*l**2 + 1/11*l + 0 + 13/11*l**3.
l*(l + 1)**2*(2*l + 1)**2/11
Let m be ((-168)/(-16))/(5 + (-36)/8). Suppose m*v - 120 = 11*v. Factor 1/3*p**2 + v + 4*p.
(p + 6)**2/3
Let r(u) = 11*u**2 + 264*u - 752. Let s(c) = -2*c**2 - 52*c + 150. Let f(h) = -3*r(h) - 16*s(h). Factor f(p).
-(p - 36)*(p - 4)
Let x = 2229/2 - 44579/40. Let u(l) be the third derivative of -3*l**3 + 0 - 7/8*l**4 + 18*l**2 + 0*l**5 + x*l**6 + 0*l. Determine v so that u(v) = 0.
-2, -1, 3
Let t(m) be the third derivative of m**6/240 + 17*m**5/120 + 11*m**4/8 + 69*m**2 + 6*m - 2. Determine a, given that t(a) = 0.
-11, -6, 0
Factor 130*m + 50 + 2053*m**3 + 62*m**2 + 15 - 2055*m**3 + 1.
-2*(m - 33)*(m + 1)**2
Let y be 5*(-156)/(-90)*24. Solve -108*o**5 - 110*o**5 + 148*o**3 + y*o**5 - 366*o**4 = 0 for o.
-37, 0, 2/5
Let w(n) be the third derivative of n**5/15 - 103*n**4/6 + 264*n**3 - 8232*n**2. Determine h so that w(h) = 0.
4, 99
Let m(b) be the third derivative of 1/315*b**7 + 0 + 0*b + 0*b**3 + 1/90*b**6 + 33*b**2 + 0*b**4 + 0*b**5. Let m(v) = 0. What is v?
-2, 0
Let y be (-1)/2*(105/56 + 11070/(-1296)). Determine r so that -10/3*r**2 + y*r**4 - 8/3*r**3 - 1/3*r**5 + 0 + 3*r = 0.
-1, 0, 1, 9
Let p = 40 + -31. Suppose -1 - 9 = -5*m. Solve c**2 + 16*c + 32 + p*c**2 - 8*c**m = 0 for c.
-4
Let n(t) = t**2 + 98*t - 622. Let a be n(6). Let k(p) be the second derivative of 1/4*p**3 - 1/2*p**a - 1/24*p**4 + 0 - 17*p. Let k(x) = 0. What is x?
1, 2
Let k(c) be the second derivative of -1 + 3/2*c**2 + 5/4*c**4 - 3/10*c**5 - 2*c**3 - 84*c. Solve k(z) = 0.
1/2, 1
Find x, given that -1267 - x**4 + 669 - 8*x**3 - 100*x + 650 + 57*x**2 = 0.
-13, 1, 2
Factor 0*u + 0 - 35*u**3 + 190/3*u**2 + 5/3*u**4.
5*u**2*(u - 19)*(u - 2)/3
Factor 0 - 3/5*c**2 - 36*c.
-3*c*(c + 60)/5
Let x(o) be the second derivative of 0*o**5 + 1/135*o**6 + 1/9*o**2 + 0*o**3 - 2*o - 1/27*o**4 - 6. Find f, given that x(f) = 0.
-1, 1
Let v(u) be the third derivative of -u**7/630 + u**6/360 + 4*u**5/45 - u**4/18 - 8*u**3/3 + 2*u**2 - 8*u + 6. Let v(d) = 0. What is d?
-3, -2, 2, 4
Let u = -2707224/5 - -541445. Determine z so that 0*z - u*z**5 + 0*z**2 + 0 + 0*z**3 + 0*z**4 = 0.
0
Find p such that -2/3*p**2 + 24*p + 74/3 = 0.
-1, 37
Let t(b) be the second derivative of -b**5/45 - b**4/3 - 16*b**3/9 - 32*b**2/9 - 1187*b. Find d, given that t(d) = 0.
-4, -1
Let x be (300 - 293) + (95/3 - -1) + -9. Factor 2/3*b**2 + 1058/3 + x*b.
2*(b + 23)**2/3
Suppose 4*h - 38 = r, -2*r - 5*h + 16 + 38 = 0. Factor -6/5 + 1/5*m + 1/5*m**r.
(m - 2)*(m + 3)/5
Let d(u) be the first derivative of 12*u + 6*u**2 + 6*u**3 - 7*u**3 + 35 - 11 + 2*u**3. Factor d(c).
3*(c + 2)**2
Let l(c) be the first derivative of 3*c**4 - 14*c**3/3 - 4*c**2 + 52*c - 46. Let q(s) be the first derivative of l(s). Factor q(r).
4*(r - 1)*(9*r + 2)
Suppose 0 = -2*f - 1 + 5. Let u