ird derivative of -b**5/150 + 7*b**4/30 - 767*b**2. Suppose i(w) = 0. Calculate w.
0, 14
Suppose 1308 = 10*q + 1308. Let f(t) be the third derivative of 1/12*t**4 - 4*t**2 - 1/60*t**6 - 1/15*t**5 + q*t + 2/3*t**3 + 0. Factor f(x).
-2*(x - 1)*(x + 1)*(x + 2)
Factor -32/5*s**3 + 102/5*s**2 + 2/5*s**4 - 72/5*s + 0.
2*s*(s - 12)*(s - 3)*(s - 1)/5
Suppose 44/5 - 172/5*l + 116/5*l**2 + 12/5*l**3 = 0. What is l?
-11, 1/3, 1
Suppose 0 = k - 3 - 7. Let t be k/4*16/32. Factor 1/2*v**2 + v**3 - t*v + 1/2 - v**4 + 1/4*v**5.
(v - 2)*(v - 1)**3*(v + 1)/4
Let b(l) be the first derivative of 5 + 1/14*l**2 + 0*l + 1/21*l**3. Factor b(j).
j*(j + 1)/7
Suppose -4*a + 2*a + 6 = 0. Factor -4*h**4 + 5*h**5 + 2*h**a + 6*h**4 + 7*h**4 - 2*h**4.
h**3*(h + 1)*(5*h + 2)
Solve 136*n + 23/4*n**3 + 1/4*n**4 + 96 + 91/2*n**2 = 0.
-8, -6, -1
Suppose 5*i - d + 138 = 2*d, 107 = -4*i - d. Let o = i + 29. What is g in -2/13*g**o - 2/13*g + 0 = 0?
-1, 0
Let d = -3047/9 - -339. Let m = 10048 + -30142/3. Solve -2/9*c**2 - d*c + m = 0.
-3, 1
Let u be (-2530)/20 - 3/2. Let c = -1406/11 - u. Factor 4/11*x**2 - c*x**4 - 2/11 + 4/11*x**3 - 2/11*x - 2/11*x**5.
-2*(x - 1)**2*(x + 1)**3/11
Let w(z) = 2*z**2 - z. Let h be w(1). Let j(i) be the first derivative of -3*i**2 + h - 3*i**3 + 0*i - 3/4*i**4. Determine x so that j(x) = 0.
-2, -1, 0
Determine c so that -1/5*c**2 - 48/5 + 49/5*c = 0.
1, 48
Let o(p) be the second derivative of p**7/42 - p**6/15 - p**5/5 + p**4/6 + p**3/2 - 53*p. Factor o(q).
q*(q - 3)*(q - 1)*(q + 1)**2
Let r be 16/(-22)*26/(-52). Let a(c) be the second derivative of 1/165*c**6 - 4/11*c**3 + r*c**2 + 0 + 13/66*c**4 - 3/55*c**5 - 8*c. Factor a(s).
2*(s - 2)**2*(s - 1)**2/11
Let g(j) = j. Let u(h) = h**2 + 13*h + 28. Let w(x) = -4*g(x) - u(x). Let d be w(-15). Factor 4/3*q**3 - 8/3 - 2/3*q**4 - 8/3*q + d*q**2.
-2*(q - 2)**2*(q + 1)**2/3
Suppose 2*y = 4*y + 4. Let v(m) = m - m**3 + 6*m + 0*m**3 - 8. Let p(k) = 6*k - 9. Let w(x) = y*p(x) + 3*v(x). Find j such that w(j) = 0.
-2, 1
Let p(g) be the second derivative of g**4/2 + 61*g**3/9 - 14*g**2/3 + 69*g. Let p(r) = 0. Calculate r.
-7, 2/9
Let s(q) = q + 3. Let k be 2 + 1 - ((6 - 4) + 1). Let a be s(k). Determine m, given that -a*m**2 - 3*m**4 + 0 + 3/4*m**5 + 9/2*m**3 + 3/4*m = 0.
0, 1
Let l(f) be the third derivative of -f**7/42 + 13*f**6/3 - 901*f**5/4 - 65*f**4/3 + 6760*f**3/3 + 50*f**2. Let l(c) = 0. What is c?
-1, 1, 52
Let h(t) be the third derivative of -t**8/784 + 3*t**7/490 + 3*t**6/56 + 17*t**5/140 + 3*t**4/28 + 109*t**2. Find x, given that h(x) = 0.
-1, 0, 6
Suppose l + 3 = 5*n, -5*l + 0*l - 5*n = -15. Let o be (0 + l + -6)*-1. Factor -81*i**4 + o*i + 115*i**3 - 5*i**2 - 35*i**2 + 2*i**3.
-i*(i - 1)*(9*i - 2)**2
Let f be -8*(-24)/64 + -1. Let v(b) be the second derivative of 0*b**2 + 0 - 9/20*b**5 + 0*b**3 + 1/10*b**6 + f*b + 1/2*b**4. Suppose v(r) = 0. Calculate r.
0, 1, 2
Let k = -1769/18 + 197/2. Let j be (10 + -5 + -5)/1. Find i such that j - 4/9*i**2 + 2/9*i + k*i**3 = 0.
0, 1
Factor -3*a + 29*a**2 - 12*a**2 - 17*a + 32 - 15*a**2.
2*(a - 8)*(a - 2)
Let d(i) be the first derivative of i**6/630 + i**5/140 + i**4/84 - 19*i**3/3 - 2. Let q(b) be the third derivative of d(b). Solve q(m) = 0 for m.
-1, -1/2
Let f(g) = -4*g**3 + 24*g**2 - 53*g + 27. Let j(d) = -51*d + 98*d + 1 - 46*d. Let h(b) = -f(b) - 5*j(b). Find p, given that h(p) = 0.
2
Let j(u) be the third derivative of -u**5/30 - 41*u**4/6 - 1681*u**3/3 - 145*u**2. Suppose j(f) = 0. What is f?
-41
Let t(m) = -9*m**3 + 58*m**2 - 39*m + 5. Let j(f) = f**3 - 2*f**2 - f - 1. Let o(p) = -5*j(p) - t(p). Factor o(z).
4*z*(z - 11)*(z - 1)
Let w(h) be the third derivative of -11*h**2 + 0*h - 3/8*h**4 + 0 + 1/20*h**5 - 2*h**3. Suppose w(i) = 0. Calculate i.
-1, 4
Let j(s) = s**2 - 4*s + 1. Let y(d) = 6*d**2 - 28*d + 21. Let g(p) = 15*j(p) - 3*y(p). Let g(z) = 0. Calculate z.
4
Factor 0*n - 2/13*n**3 + 0 - 24/13*n**2.
-2*n**2*(n + 12)/13
Let k(v) be the third derivative of -v**11/332640 - v**10/50400 - v**9/30240 + v**5/12 - 2*v**2. Let a(d) be the third derivative of k(d). Factor a(m).
-m**3*(m + 1)*(m + 2)
Suppose 4 = 4*q, 0 = 4*f + 98*q - 96*q - 18. Factor 22/7*k**2 + 0 - 4/7*k + 2*k**f - 32/7*k**3.
2*k*(k - 1)**2*(7*k - 2)/7
Let d(m) be the second derivative of 1/100*m**5 + 0*m**2 - 1/210*m**7 - 12*m + 0*m**3 + 0*m**6 + 0*m**4 + 0. Factor d(q).
-q**3*(q - 1)*(q + 1)/5
Let s(h) be the first derivative of h**7/84 + h**6/30 + h**5/40 - 2*h + 40. Let y(d) be the first derivative of s(d). Determine f, given that y(f) = 0.
-1, 0
Suppose 8*l - 71 = -503. Let z = l + 54. Suppose -3/2*y + 0*y**4 + 0 + z*y**2 - 3/2*y**5 + 3*y**3 = 0. What is y?
-1, 0, 1
Let k = -111 - -113. Let c be (k/(-35))/((-5)/400). Factor -2*q**3 - 4/7 - 22/7*q - c*q**2.
-2*(q + 1)**2*(7*q + 2)/7
Let o(a) be the second derivative of 0 + 3*a + 0*a**2 - 2/105*a**6 + 0*a**4 + 0*a**3 + 1/140*a**5. Let o(j) = 0. Calculate j.
0, 1/4
Factor 2/7*f**3 - 2/7*f**5 + 0 + 2/7*f**2 + 0*f - 2/7*f**4.
-2*f**2*(f - 1)*(f + 1)**2/7
Let l(g) be the first derivative of -g**4 + 25*g**3/3 - 33*g**2/2 + 12*g - 7. Let h(b) = -b**2 + b. Let x(d) = 5*h(d) + l(d). Determine t, given that x(t) = 0.
1, 3
Let g(d) be the second derivative of 12*d + 3/8*d**2 - 1/24*d**6 - 1/6*d**3 + 3/20*d**5 - 1/8*d**4 + 0. Let g(w) = 0. What is w?
-3/5, 1
Find f, given that 2*f**5 + 2 + 6*f - 8*f**2 + 2 + 124*f**4 - 120*f**4 - 4*f**3 - 4*f = 0.
-2, -1, 1
Let c(h) be the first derivative of 3*h**2 + 20 - 1/3*h**3 - 5*h. Factor c(s).
-(s - 5)*(s - 1)
Factor 13*z - 27*z**3 - 34*z - 6*z**3 - 6 - 17*z**2 + 77*z**2.
-3*(z - 1)**2*(11*z + 2)
Let h(y) be the first derivative of -4*y**6/27 + 23*y**4/18 - 22*y**3/9 + 17*y**2/9 - 2*y/3 + 57. Find u, given that h(u) = 0.
-3, 1/2, 1
Let s(q) be the third derivative of -q**7/600 + 3*q**6/400 - q**5/100 - 5*q**4/24 + 20*q**2. Let w(i) be the second derivative of s(i). Factor w(g).
-3*(g - 1)*(7*g - 2)/5
Let j(x) be the first derivative of -x**4/2 + 40*x**3/3 - 37*x**2 + 36*x + 213. Factor j(c).
-2*(c - 18)*(c - 1)**2
Let q = -35503 - -35507. Factor 46/3*k**2 + 2/3*k**q + 8 + 56/3*k + 16/3*k**3.
2*(k + 1)*(k + 2)**2*(k + 3)/3
Let m(v) be the second derivative of v**4/42 + 8*v**3/3 + 112*v**2 + 83*v. Factor m(c).
2*(c + 28)**2/7
Let s(l) be the first derivative of -1/24*l**4 + 1/40*l**5 - 1/12*l**3 + 0*l**2 - 3*l + 1/60*l**6 - 5. Let z(b) be the first derivative of s(b). Factor z(y).
y*(y - 1)*(y + 1)**2/2
Suppose 0 = -5*n - 3*j + 43, -3*j + 38 = 13*n - 9*n. Solve -25/4*g + n + 5/4*g**2 = 0 for g.
1, 4
Suppose 2*x + 30 = -3*x. Let b(p) be the second derivative of -p**4/4 + 17*p**2/2 + 126*p. Let n(w) = -w**2 + 6. Let r(g) = x*b(g) + 17*n(g). Solve r(u) = 0.
0
Factor 4*r**5 - 4*r**2 - 231 + 4*r**4 - 4*r**3 + 231.
4*r**2*(r - 1)*(r + 1)**2
Let b(i) be the second derivative of -i**5/270 + i**4/54 + i**3/9 - 9*i**2/2 + 13*i. Let s(u) be the first derivative of b(u). Solve s(f) = 0 for f.
-1, 3
Let k(n) be the third derivative of -1/210*n**7 - 81/20*n**5 + 0*n**3 - 30*n**2 + 0 - 243/8*n**4 + 0*n - 9/40*n**6. Solve k(y) = 0.
-9, 0
Let v(d) be the second derivative of d**4/96 - 181*d**3/24 + 32761*d**2/16 + 259*d. Factor v(i).
(i - 181)**2/8
Let h = 17330 - 17328. Factor 24/5*p - 2/5*p**h + 0.
-2*p*(p - 12)/5
Let u = -1485 + 550. Let q be (-22)/u*-5 + (-98)/(-255). Find p, given that 2/3*p**3 + 14/15*p**2 + q*p + 0 = 0.
-1, -2/5, 0
Suppose 5*g - 20 = 4*c - 0*c, c - 4*g + 16 = 0. Let h = -545 + 547. Find a, given that -12*a**h - 3*a - 21/4*a**3 + c = 0.
-2, -2/7, 0
Let m(p) be the first derivative of 10/3*p**3 + 0*p + 7 + 2/5*p**5 + 2*p**4 + 2*p**2. Factor m(f).
2*f*(f + 1)**2*(f + 2)
Let v(c) be the third derivative of -c**8/12 + 46*c**7/105 - 2*c**6/3 + 4*c**5/15 + 50*c**2. Find i, given that v(i) = 0.
0, 2/7, 1, 2
Let o be 12/2*(-48)/(-18). Factor 48*m**2 + 8*m**4 - 52*m**3 - 4*m**5 - 9*m - 7*m + o*m**4.
-4*m*(m - 2)**2*(m - 1)**2
Suppose 0 = -3*d + 2*d + 3. Factor 3*l**2 - 2 - d*l - 2*l**2 - 2*l**2.
-(l + 1)*(l + 2)
Find n such that 63/2 + 3/4*n**2 - 69/4*n = 0.
2, 21
Suppose o - 3*a + 6 + 5 = 0, 0 = 5*o + 3*a - 35. Suppose -2*d**3 + 6*d**2 + 0*d**2 - 4*d**4 + o*d**3 = 0. Calculate d.
-1, 0, 3/2
Determine y, given that -2/7*y**4 + 0 - 4/7*y**3 + 4/7*y + 2/7*y**2 = 0.
-2, -1, 0, 1
Let x(r) be the second derivati