second derivative of 8*c + 0*c**2 + 0 - 1/112*c**7 - 1/80*c**n + 0*c**4 + 0*c**3 + 3/80*c**5. Factor y(r).
-3*r**3*(r - 1)*(r + 2)/8
Let f(h) = -h**3 - 4*h**2 - 3*h. Let r be f(-4). Find q, given that -8*q**3 + 4*q**2 + 18*q + 6*q - 18 + 10*q**4 - r*q**4 = 0.
-3, 1
Factor -13718 - 1/4*i**3 - 57/2*i**2 - 1083*i.
-(i + 38)**3/4
Let z(p) be the second derivative of p**6/15 + 4*p**5/5 + 23*p**4/6 + 28*p**3/3 + 12*p**2 - 87*p. Find l such that z(l) = 0.
-3, -2, -1
Let o(z) be the first derivative of 0*z**2 + 2*z**4 + 2/5*z**5 + 2*z**3 + 0*z + 2. Find w such that o(w) = 0.
-3, -1, 0
Let 432/11*d - 46656/11 - 1/11*d**2 = 0. Calculate d.
216
Let j(r) be the third derivative of r**5/360 + 7*r**4/72 + 14*r**2. Determine o so that j(o) = 0.
-14, 0
Let s(o) be the first derivative of o**6/40 + o**5/10 - o**4/2 - 14*o**3/3 - 21. Let f(t) be the third derivative of s(t). Suppose f(g) = 0. What is g?
-2, 2/3
Let l(q) be the second derivative of q**7/14 - 71*q**6/10 + 4089*q**5/20 - 3673*q**4/4 + 1768*q**3 - 1734*q**2 + 153*q. Factor l(r).
3*(r - 34)**2*(r - 1)**3
Let g(n) be the second derivative of n**5/4 + 85*n**4/6 + 1445*n**3/6 - 6*n + 9. Factor g(b).
5*b*(b + 17)**2
Let h(b) be the first derivative of b**4/22 - 32*b**3/33 + 29*b**2/11 - 28*b/11 - 44. Solve h(o) = 0 for o.
1, 14
Suppose -5*t - 5*h + 50 = 0, -2*h - 38 = -3*t - h. Suppose 3*w + t = 3*i, 6*i - 30 = i + 3*w. Solve -9 + i + a**4 + a**3 = 0 for a.
-1, 0
Factor 0*i + 24*i**2 + 104/9*i**3 + 0 - 2/9*i**4.
-2*i**2*(i - 54)*(i + 2)/9
Let g(k) = -11*k + 8. Let d be g(1). Let o(m) = 8*m**2 - 3*m - 8. Let y(h) = -65*h**2 + 25*h + 65. Let l(w) = d*y(w) - 25*o(w). Find j, given that l(j) = 0.
-1, 1
Factor 21*w**2 - 68*w**3 + 23*w**2 - 53*w**2 + 17*w**2.
-4*w**2*(17*w - 2)
Let m(i) = -3*i**4 + 3*i**3 + i**2 - i + 4. Suppose 8*v - 29 = 19. Let l(n) = 25*n**4 - 24*n**3 - 9*n**2 + 7*n - 33. Let k(b) = v*l(b) + 51*m(b). Factor k(d).
-3*(d - 2)*(d - 1)**2*(d + 1)
Find b such that 0 - 4/3*b**2 - 16/3*b = 0.
-4, 0
Let g(y) be the third derivative of -y**6/120 - y**5/6 - 7*y**4/8 - 2*y**2 + 42*y. Factor g(n).
-n*(n + 3)*(n + 7)
Let d(y) = y + 10. Suppose -f + 2 = 5*c, f = -c - 3*c. Let s be d(f). Factor 8/7*p**2 + 0 + 0*p + 24/7*p**3 - s*p**4.
-2*p**2*(p - 2)*(7*p + 2)/7
Let v(n) be the first derivative of -2*n**3/63 + 16*n**2/21 + 24*n/7 + 92. Suppose v(i) = 0. Calculate i.
-2, 18
Factor -3/2*k + 1/6*k**2 + 4/3.
(k - 8)*(k - 1)/6
Let z = 10 + -11. Let v(i) = i**3 + i**2 + i - 1. Let y(n) = -48*n**2 + 4*n + 12. Let q(o) = z*y(o) - 16*v(o). Factor q(x).
-4*(x - 1)*(2*x - 1)**2
Let f be (-9)/(-36)*2*4. Suppose -14 = 2*j - 2*p + 6*p, -5*p = -f*j + 31. Factor 3*b + j*b**2 + 3*b + 0*b.
3*b*(b + 2)
Let 54*g**2 + 12 - 13*g + 5*g - 58*g**2 = 0. Calculate g.
-3, 1
Factor -240/7*y**2 - 166/7*y + 18/7*y**3 - 4.
2*(y - 14)*(3*y + 1)**2/7
Factor -6*i + 15*i**2 + 25*i**3 + 5*i**4 - 13*i - 12*i - 14*i.
5*i*(i - 1)*(i + 3)**2
Suppose -58*w = -59*w. Let t be w/(4 + -4 - -1). Factor t*v + 1/6*v**4 + 1/2*v**3 + 1/3*v**2 + 0.
v**2*(v + 1)*(v + 2)/6
Let o(p) be the second derivative of -11/2*p**3 + 3*p**2 + 7/2*p**4 + 13*p - 8/5*p**6 + 0 + 1/2*p**7 + 3/5*p**5. Factor o(b).
3*(b - 1)**3*(b + 1)*(7*b - 2)
Suppose 25*i + 32*i + 26*i = 24*i. Determine j so that i*j + 0 - 1/2*j**3 - j**2 = 0.
-2, 0
What is b in -4551*b**2 + 4551*b**2 + 28*b**3 + 17*b**4 - 4*b**5 + 7*b**4 = 0?
-1, 0, 7
Let 0 + 0*i + 1/2*i**3 + 1/2*i**4 - i**2 = 0. Calculate i.
-2, 0, 1
Let m(v) be the second derivative of v**5/390 - 5*v**4/26 + 75*v**3/13 - 14*v**2 + 26*v. Let w(d) be the first derivative of m(d). Determine i so that w(i) = 0.
15
Let w(k) be the third derivative of 486*k**7/35 + 891*k**6/10 - 153*k**5/5 - 10693*k**4/6 - 19652*k**3/3 + 5*k**2 - 46. What is b in w(b) = 0?
-17/9, 2
Let s be 40/(-260) + (-56)/(-26). Let f(n) be the first derivative of 2/5*n - 17/10*n**2 + 13/5*n**3 - 16/25*n**5 - s - 2/5*n**4. Determine d so that f(d) = 0.
-2, 1/4, 1
Let a(x) be the third derivative of x**5/60 - 35*x**4/4 + 3675*x**3/2 + 49*x**2 - 2*x. Factor a(l).
(l - 105)**2
Let k(p) be the third derivative of p**8/144 + 53*p**7/630 + 53*p**6/360 - 89*p**5/180 - 5*p**4/6 + 2*p**3 - 422*p**2. Solve k(a) = 0.
-6, -2, -1, 3/7, 1
Let m(q) be the first derivative of q**6/6 - 6*q**5/5 - 164. Solve m(l) = 0 for l.
0, 6
Let k(t) be the third derivative of -t**6/40 - 32*t**5/45 + 65*t**4/18 + 32*t**3/9 - t**2 - 436*t. Factor k(o).
-(o - 2)*(o + 16)*(9*o + 2)/3
Suppose 5 - 1 = 3*h + 4*s, -5*h - 2*s = -16. Let 0*v**2 + h*v**2 - 4*v + v**4 + 2*v - 4*v**3 + v**2 = 0. What is v?
0, 1, 2
Suppose -13*y + 18 = 5*y. Let h be y*39/(-21) + 0 + 2. Factor -h*t**3 + 0 - 1/7*t**4 + 1/7*t + 1/7*t**2.
-t*(t - 1)*(t + 1)**2/7
Suppose 3 = -7*g + 24. Factor -4332*b**2 - 456*b - 3683*b**g - 10035*b**3 - 18 + 2.
-2*(19*b + 2)**3
Suppose 0 = -4*u + 5*u - 12. Suppose -2*p - 2*p = -u. Let -8*a + 4 + 2*a**2 - p + 5 = 0. Calculate a.
1, 3
Suppose 4*m = -345 + 317, 5*n - 32 = m. Determine w, given that 0*w - 4/7*w**4 + 4/7*w**2 + 0 + 4/7*w**n - 4/7*w**3 = 0.
-1, 0, 1
Let u = -9585 + 9587. Factor -72*v + 112*v**u + 98/3*v**3 + 32/3.
2*(v + 4)*(7*v - 2)**2/3
Let b(u) = 72*u + 2232. Let n be b(-31). Factor 0*y**4 + 4/5*y**3 + 0*y + n*y**2 + 0 - 1/5*y**5.
-y**3*(y - 2)*(y + 2)/5
Determine x, given that 44 - 136/3*x + 4/3*x**2 = 0.
1, 33
Factor -42*i - 2/7*i**3 - 6*i**2 - 98.
-2*(i + 7)**3/7
Let o(j) be the second derivative of -j**8/1680 - j**7/280 - j**6/120 - j**5/120 - 17*j**3/6 - 13*j. Let v(d) be the second derivative of o(d). Factor v(b).
-b*(b + 1)**3
Let s = 1363 + -1361. Find q such that -14/5*q + 6/5 - 2/5*q**3 + 2*q**s = 0.
1, 3
Let q(a) = -9*a**2 - 3*a + 7. Let f(r) = -5*r**2 - r + 3. Let h(o) = -11*f(o) + 6*q(o). Let t be h(6). Factor -l**2 + 1 - l + l**t + 3*l - 3*l.
(l - 1)**2*(l + 1)
Suppose 2*f = 3*v + 7*f, v = -2*f. Let i(y) be the third derivative of 0*y + 1/90*y**5 + 5*y**2 - 1/360*y**6 + 0 - 1/630*y**7 + v*y**3 + 0*y**4. Factor i(p).
-p**2*(p - 1)*(p + 2)/3
Let y be (0 - (-21)/(-14))*2/(-450). Let d(f) be the third derivative of 0*f - y*f**6 + 0*f**4 - 1/15*f**3 + 1/50*f**5 + 0 - 3*f**2. Solve d(i) = 0 for i.
-1/2, 1
Let y(k) = -k**2 + 7*k + 21. Let i(m) = -3*m + 3. Let j be i(-2). Let q be y(j). Solve 0 + f**4 - 5/2*f**2 + 1/2*f**q + f = 0.
-2, 0, 1/2, 1
Let a(h) be the second derivative of -9*h - 3/2*h**3 + 5/8*h**4 - 7/80*h**5 + h**2 + 0. Factor a(c).
-(c - 2)**2*(7*c - 2)/4
Suppose 3*t + 2*y - 4*y + 2 = 0, -3*t + 5*y = 14. Suppose -2*w - z - 4 = -4*w, t*z = 2*w. What is v in -4*v - 6*v**4 + 7*v**w + 12*v**2 - 6*v**3 - 4*v = 0?
0, 2
Let i(p) be the second derivative of p**7/840 + p**6/120 - p**5/5 - p**4/6 + 13*p. Let t(z) be the third derivative of i(z). Solve t(g) = 0 for g.
-4, 2
Let b(l) be the third derivative of 17*l**5/120 + 11*l**4/48 - l**3/2 - 312*l**2. Factor b(z).
(z + 1)*(17*z - 6)/2
Let p be 26 + -2 + (-24)/(-4). Let 4*q**3 + 2*q + p*q**2 - 6*q - 24*q**2 = 0. What is q?
-2, 0, 1/2
Let a(l) be the second derivative of l**7/336 - 3*l**5/160 - l**4/48 + 10*l. Suppose a(o) = 0. What is o?
-1, 0, 2
Factor 3*u - 11/2*u**2 + 0 - 1/2*u**4 + 3*u**3.
-u*(u - 3)*(u - 2)*(u - 1)/2
Let t(m) be the second derivative of -m**6/72 + m**5/8 + 5*m**4/6 - m**3 + 6*m. Let v(b) be the second derivative of t(b). Factor v(r).
-5*(r - 4)*(r + 1)
Let b(p) be the second derivative of -p**5/20 + p**4/2 + 5*p**3/2 - 50*p**2 + 10*p - 8. Factor b(o).
-(o - 5)**2*(o + 4)
Determine b so that -2803*b**2 + 2815*b**2 + b + 2*b - 12 - 3*b**3 = 0.
-1, 1, 4
Let j(r) = -24*r**2 + 16*r + 4. Let q(s) = -s**3 - 24*s**2 + 15*s + 5. Let g(w) = 5*j(w) - 4*q(w). Suppose g(d) = 0. Calculate d.
0, 1, 5
Suppose 85 = 2281*c - 2264*c. Suppose -2/9*j + 0 - 4/9*j**2 + 2/9*j**c + 0*j**3 + 4/9*j**4 = 0. Calculate j.
-1, 0, 1
Let s(z) be the third derivative of -2*z**3 + 0 + 0*z - 13*z**2 + 27/20*z**5 + 2/35*z**7 + z**4 + 19/40*z**6. Factor s(f).
3*(f + 1)*(f + 2)**2*(4*f - 1)
Suppose -q + 4 = 12*t - 13*t, -3*t + 12 = q. Solve 23/4*r**t + 1/4*r**4 + 3 - 2*r**3 - 7*r = 0 for r.
1, 2, 3
Let y(g) be the first derivative of -3*g**5/5 - 3*g**4 - g**3 + 9*g**2 + 17. Factor y(r).
-3*r*(r - 1)*(r + 2)*(r + 3)
Let q(g) be the third derivative of -5*g**8/336 + 5*g**6/12 - 15*g**4/8 - 2*g**2 - 3. Determine z, given that q(z) = 0.
-3, -1,