irst derivative of -f**7/840 - f**6/80 - 31*f**2 + 60. Let j(h) be the second derivative of u(h). Factor j(m).
-m**3*(m + 6)/4
Let a(i) be the second derivative of -1/84*i**7 + 0*i**2 + 23*i - 1/30*i**6 + 0*i**3 + 1/5*i**5 - 2 + 0*i**4. Factor a(b).
-b**3*(b - 2)*(b + 4)/2
Let l(d) be the first derivative of -9 - 9*d**2 + 0*d + 1/6*d**3 + 1/60*d**5 - 1/12*d**4. Let g(o) be the second derivative of l(o). Factor g(p).
(p - 1)**2
Solve 204/11*n**3 + 2088/11*n**2 + 6/11*n**5 - 5832/11 - 96/11*n**4 - 4050/11*n = 0 for n.
-4, -1, 3, 9
Let i(x) be the first derivative of -x**6/90 - x**5/2 + 8*x**4/3 + 20*x**3/3 + 117. Let u(h) be the third derivative of i(h). Factor u(b).
-4*(b - 1)*(b + 16)
Suppose 5102*p**2 - 1719*p**2 - 2*p**3 - 2000*p**2 - 1946*p**2 + 3*p**3 = 0. Calculate p.
0, 563
Let c be 225/(-2625)*(-20)/132 - 9/(-33). Let 22*y + 32/7*y**2 + 28 + c*y**3 = 0. Calculate y.
-7, -2
Let v = -16 + 30. Suppose -k = -w + 3*k - v, 0 = -2*w - k + 8. Solve -17*h**w - h**2 + 9*h**4 + 6*h**2 - 3*h**5 = 0 for h.
-1, 0, 2
Let f be 158*3/8 - (-6)/8. Let z be 1089/f - -1 - 2/5. Find h, given that 125/4 - z*h + 15/4*h**2 - 1/4*h**3 = 0.
5
Let o be 7/(-3) + -1276 + 1279. Factor -14/3*r + o*r**3 + 0 - 4*r**2.
2*r*(r - 7)*(r + 1)/3
What is h in 6/19*h + 10/19*h**4 - 4/19*h**3 - 2/19*h**5 - 28/19*h**2 + 18/19 = 0?
-1, 1, 3
Suppose -27 = -9*h + 18. Suppose 3*x**h - x - 132*x**4 + 18*x**5 - 1340*x**3 + 1481*x**3 - 30*x**2 + x = 0. What is x?
0, 2/7, 1, 5
Let n = 139312 - 139310. Factor -9*i - 3/5*i**n + 48/5.
-3*(i - 1)*(i + 16)/5
Let v(a) be the first derivative of -a**5/5 + 5*a**4/3 - 8*a**3/3 - 210*a + 19. Let b(c) be the first derivative of v(c). Factor b(t).
-4*t*(t - 4)*(t - 1)
Factor -38*z - 40*z**2 - 2*z**3 - 849901 + 849901.
-2*z*(z + 1)*(z + 19)
Let b(k) = -k**3 + 69*k**2 - 416*k + 716. Let l(a) = -69*a**2 + 420*a - 714. Let f(x) = 3*b(x) + 2*l(x). Factor f(u).
-3*(u - 15)*(u - 4)**2
Let x(c) be the second derivative of -3/70*c**5 - 39*c + 0*c**4 + 0*c**2 + 0 + 4/21*c**3 + 1/105*c**6. What is j in x(j) = 0?
-1, 0, 2
Let h(y) be the third derivative of y**5/6 + 299*y**4/6 - 80*y**3 + 2438*y**2. Suppose h(j) = 0. Calculate j.
-120, 2/5
Factor -176/17*o + 1134/17 + 2/17*o**2.
2*(o - 81)*(o - 7)/17
Let q = 22 - 20. Let y be (q*(-3)/(-15))/((-1)/(-5)). Factor -2*k**y - 4*k + 6*k + 0*k + 4.
-2*(k - 2)*(k + 1)
Let h = 21 - -53. Let -76*m - m**2 - 35 + h*m - 34*m = 0. Calculate m.
-35, -1
Factor 899*k + 10*k**2 + 19 + 11*k**2 - 2*k**3 + 0 + 3*k**3 - 860*k.
(k + 1)**2*(k + 19)
Let u(c) = 7*c**2 + c - 1. Let y be u(1). Let z be 1 - 5 - (-49)/y. Find k, given that -7*k**3 + 4*k**3 - k - 1 + k**2 + 4*k**z = 0.
-1, 1
Suppose 0*p - 8*p + 896 = 0. Suppose 0 = 3*n + 12, -4*a + 2*n = -n - p. Factor 26*o + 3*o**5 - o**3 - 48*o + a*o - 5*o**3.
3*o*(o - 1)**2*(o + 1)**2
Let g(n) be the second derivative of 8*n - 1 + 1/36*n**4 - 4*n**2 - 5/9*n**3. Factor g(t).
(t - 12)*(t + 2)/3
Let s(p) be the first derivative of p**4/26 + 8*p**3/13 - 60*p**2/13 + 128*p/13 - 1825. Factor s(q).
2*(q - 2)**2*(q + 16)/13
Suppose 0 = -b - 3*n - 3, -8*b + 117 = -2*n + 115. Let i(s) be the third derivative of 0*s - 1/2*s**4 + b - 1/20*s**5 - 3/2*s**3 + 32*s**2. Factor i(v).
-3*(v + 1)*(v + 3)
Let r = -476/115 + 22/5. Let c = 7870/89447 - 4/3889. Factor 8/23*j**2 - c + r*j.
2*(j + 1)*(4*j - 1)/23
Let d(t) be the second derivative of -t**7/21 + 46*t**6/15 - 359*t**5/5 + 2096*t**4/3 - 6409*t**3/3 + 2890*t**2 + 1739*t. What is c in d(c) = 0?
1, 10, 17
Let x(j) = 1127*j**3 - 2315*j**2 + 1165*j - 9. Let y(f) = -2247*f**3 + 4630*f**2 - 2330*f + 19. Let i(c) = -9*x(c) - 4*y(c). Factor i(u).
-5*(u - 1)**2*(231*u - 1)
Let o(u) be the third derivative of -u**5/120 - 205*u**4/48 - 17*u**3 - 404*u**2. Factor o(w).
-(w + 1)*(w + 204)/2
Let z(h) be the first derivative of 5*h**4/38 + 12*h**3/19 - 68*h**2/19 + 48*h/19 - 297. Factor z(p).
2*(p - 2)*(p + 6)*(5*p - 2)/19
Let f be 22/363 + (-33369)/99. Let i = f - -340. Factor -3/2*b**i - 3*b**2 + 9/2*b + 0.
-3*b*(b - 1)*(b + 3)/2
Let f(o) be the third derivative of -o**7/210 + o**6/45 - o**5/30 - 82*o**3/3 - 22*o**2 - 4. Let i(y) be the first derivative of f(y). Factor i(k).
-4*k*(k - 1)**2
Let b(q) = 6*q**2 + 6*q. Let v be b(-4). Let f be (-27001)/(-134) - (-22)/4. Factor 864 + f*n + 4*n**3 + v*n**2 + 244*n - 19*n.
4*(n + 6)**3
Let f(u) = -25*u**4 + 290*u**2 + 864*u + 575. Let s(v) = -16*v**4 + 194*v**2 + 576*v + 383. Let x(w) = -5*f(w) + 8*s(w). Factor x(c).
-3*(c - 7)*(c + 1)*(c + 3)**2
Let s(b) be the third derivative of -b**5/20 - 977*b**4/4 - 954529*b**3/2 - b**2 - 108. Determine m so that s(m) = 0.
-977
Let p(m) = -9*m**2 - 146*m - 1125. Suppose 0 = 2*c - 0*c + 3*o + 23, -4*o = -2*c + 12. Let v(t) = t**2 - t. Let d(g) = c*v(g) - p(g). Let d(a) = 0. Calculate a.
-15
Let g(s) = -7*s**4 + 8*s**2. Let t(k) = 4*k**4 - 4*k**2. Let p be ((-2)/6)/(13/(-117)). Let o(x) = p*g(x) + 5*t(x). Factor o(v).
-v**2*(v - 2)*(v + 2)
Let o = -1139 - -1007. Let j be (o/(-121))/((-14)/(-11)). Suppose -1/7*p**2 - 5/7*p - j = 0. What is p?
-3, -2
Let o(b) be the first derivative of -b**4/66 - b**3/11 - 62*b + 6. Let h(u) be the first derivative of o(u). Factor h(w).
-2*w*(w + 3)/11
Let z = 8 + -6. Let a be 4 - (63/27 - (-4)/(-12)). Factor -4 - 5*i**2 - 4*i**z + 7*i**a + 6*i.
-2*(i - 2)*(i - 1)
Factor -20*l**3 + 5712*l**2 + 1493891*l + 19*l**3 - 7032153*l - 5337386*l + 6902411264.
-(l - 1904)**3
Let a be (10/(-6))/((-35)/126). Let i be 7480/1232 - a/4. Factor i*z + 2/7*z**2 + 128/7.
2*(z + 8)**2/7
Let t(j) = 5*j**2 + 144*j + 6. Let s(x) = 3*x**2 + 144*x + 4. Let i(h) = 3*s(h) - 2*t(h). Find a such that i(a) = 0.
0, 144
Let q(z) be the third derivative of -2/195*z**6 + 1/1365*z**7 - 8/39*z**4 - 11/39*z**3 + 0*z - 24*z**2 + 0 - 1/13*z**5. Factor q(x).
2*(x - 11)*(x + 1)**3/13
Let y(b) = 17*b**2 + 4526*b + 5212137. Let r(g) = -2*g**2 + 5*g - 6. Let w(v) = -24*r(v) - 3*y(v). Factor w(k).
-3*(k + 2283)**2
Let y(g) be the third derivative of -g**7/735 + g**6/30 + 17*g**5/210 - 5*g**4/14 + 2616*g**2. What is r in y(r) = 0?
-2, 0, 1, 15
Let v(m) be the third derivative of -m**8/1344 - 4*m**7/105 + 67*m**6/480 - 17*m**5/120 + 9*m**2 + m - 4. Factor v(s).
-s**2*(s - 1)**2*(s + 34)/4
Suppose 0 = -41*h + 94 - 12. Let 17*f**2 - 289*f**4 - f**h + 273*f**4 - 5*f + 8*f**3 + 4*f**5 - 7*f = 0. Calculate f.
-1, 0, 1, 3
Let c be (-4)/20 + (-142)/(-10). Suppose -3*s = -4*o - o + c, -5*s = -3*o + 2. Let -i - s*i + 2*i + 2*i + i**2 = 0. Calculate i.
-1, 0
Suppose -68*i + 12 = -62*i. Factor 13*j + 5*j**i + 12*j - 165 + 165.
5*j*(j + 5)
Let g(y) be the second derivative of -2*y**5/15 + 163*y**4/18 - 1720*y**3/9 + 400*y**2 - 300*y. Let g(z) = 0. Calculate z.
3/4, 20
Let a = 147/166 - 32/83. Let d(c) be the second derivative of 5*c - c**2 - a*c**3 - 1/12*c**4 + 0. Factor d(g).
-(g + 1)*(g + 2)
Let o be (-272)/32*78/(-221). Let f(g) be the third derivative of -1/480*g**6 - 1/12*g**o + 1/32*g**4 + 16*g**2 + 0*g + 0*g**5 + 0. Solve f(h) = 0 for h.
-2, 1
Let f(a) = 5*a - 15. Let o = 106 - 103. Let b be f(o). Factor 48*n**3 - 60*n**2 + 27*n**3 - 24*n**4 - 20*n + 4*n**4 + b*n**4.
-5*n*(n - 2)**2*(4*n + 1)
Let v(x) be the second derivative of -151*x**5/10 + 457*x**4/6 - 4*x**3 + 6323*x. Find f, given that v(f) = 0.
0, 4/151, 3
Find j such that -266*j - 143*j**4 - 94*j - 76*j**3 + 145*j**4 - 408*j**2 + 30*j**3 = 0.
-6, -1, 0, 30
Let t be 1*(8 - 2)/2. Suppose -t*o = 5*x - 16, 7*x + 2 = 3*x + 5*o. Factor x - 4*i**3 + 8*i**2 + 109*i - 113*i - 2.
-4*i*(i - 1)**2
Let y(b) be the first derivative of -b**3/15 - 113*b**2/10 + 46*b - 1453. Factor y(g).
-(g - 2)*(g + 115)/5
Suppose -2*f = 4*b - 44, -4*b = -7*b. Let q = -20 + f. Find u, given that u**3 + 4*u**2 + 25*u + 29*u**3 - u + 4 + 7*u**4 + 39*u**q = 0.
-2, -1, -2/7
Let s(m) be the first derivative of m**7/70 - m**6/20 - 3*m**5/20 + m**4 - 2*m**3 + 103*m**2/2 - 62. Let d(u) be the second derivative of s(u). Factor d(t).
3*(t - 2)*(t - 1)**2*(t + 2)
Let p(t) be the third derivative of t**6/60 - 13*t**5/30 - 140*t**4/3 - 1100*t**3 + 110*t**2 + 2*t + 8. Suppose p(v) = 0. What is v?
-10, 33
Factor 1015*i**2 + 525*i + 499 - 9*i**3 - 434 + 84*i**3.
5*(i + 13)*(3*i + 1)*(5*i + 1)
Let t(u) be the second derivative of -3*u**2 + 26 - 1/12*u**4 - 2*u - 7/6*u**3. Factor t(w).
-(w 