- 17. Let y be q(11). Let j(c) be the first derivative of 3 + 3/25*c**y - 3/5*c**2 + 0*c + 3/10*c**4 - 1/5*c**3. Find m such that j(m) = 0.
-2, -1, 0, 1
Let g(z) be the third derivative of -1/210*z**7 + 3*z**2 + 1/336*z**8 + 1/24*z**4 - 1/6*z**3 - 1/60*z**6 + 0 + 1/30*z**5 + 0*z. Factor g(q).
(q - 1)**3*(q + 1)**2
Determine i, given that 0*i + 0*i**3 + 2/5*i**2 + 0 - 2/5*i**4 = 0.
-1, 0, 1
Let s(c) be the third derivative of c**8/70560 - c**7/17640 + c**5/30 + 4*c**2. Let n(w) be the third derivative of s(w). Factor n(j).
2*j*(j - 1)/7
Let p(s) = -s - 20. Let l be p(-20). Factor 0 - 1/2*y**3 - 1/2*y**5 + 0*y + y**4 + l*y**2.
-y**3*(y - 1)**2/2
Let n = 209/2 + -104. Factor 0*k - n*k**2 + 0.
-k**2/2
Let s(y) be the second derivative of -y**7/105 - 11*y**6/75 - 27*y**5/50 - 5*y**4/6 - 8*y**3/15 + 39*y. Factor s(o).
-2*o*(o + 1)**3*(o + 8)/5
Let b(z) = -4*z**2 - 9*z - 12. Suppose 0 = 3*h + 2*i + i - 6, -2*i + 8 = 0. Let p(f) = 3*f**2 + 8*f + 11. Let j(x) = h*b(x) - 3*p(x). Solve j(s) = 0.
-3
Let x be 0*((-2)/(-4))/1*1. Solve x - 2/11*f**5 + 2/11*f**4 + 0*f**2 + 0*f**3 + 0*f = 0 for f.
0, 1
Find q such that 6*q**3 - 2*q**2 - 4*q - 20 + 20 = 0.
-2/3, 0, 1
Let f(q) be the first derivative of -2*q**3/51 + 2*q/17 - 10. Determine r so that f(r) = 0.
-1, 1
Let d(o) = -2*o - 3. Let i be d(-3). Let x(t) = -t - 11. Let n be x(-12). Factor v**3 - 2*v + 6*v**2 - 3 + v**i - n - 2*v**4.
-2*(v - 2)*(v - 1)*(v + 1)**2
Let l(j) be the first derivative of 27*j**5/10 - 21*j**4/8 - 10*j**3 - 3*j**2 + 47. What is h in l(h) = 0?
-1, -2/9, 0, 2
Determine q, given that -29 - 10*q**4 + q**3 + 17*q**3 + 29 + 4*q - 14*q**2 + 2*q**5 = 0.
0, 1, 2
Let r(p) be the first derivative of -p**6/27 - 2*p**5/45 + p**4/18 + 2*p**3/27 - 8. Find u such that r(u) = 0.
-1, 0, 1
Let m(f) = -f**2 + f. Let t(q) = -3*q**2 + 11*q - 12. Let s(w) = m(w) - t(w). Factor s(l).
2*(l - 3)*(l - 2)
Let h(l) be the second derivative of 7/36*l**4 + 1/18*l**6 + 1/126*l**7 + 1/9*l**3 + 3/20*l**5 - 3*l + 0*l**2 + 0. Let h(a) = 0. Calculate a.
-2, -1, 0
Let h(q) be the third derivative of -q**2 + 0*q - 1/2*q**4 - 1/20*q**5 - 2*q**3 + 0. Factor h(v).
-3*(v + 2)**2
Let r be (-1)/2*6 + 5. Factor -3*g**5 - 3*g**4 + g**4 + 2*g**r + g + 2*g**5.
-g*(g - 1)*(g + 1)**3
Suppose 6/19*k - 2/19*k**2 - 4/19 = 0. Calculate k.
1, 2
Let v(d) be the first derivative of d**3/2 - 5*d**2/8 - d/4 + 5. Factor v(c).
(c - 1)*(6*c + 1)/4
Suppose 9 = -3*g + 6*g. Find i, given that g*i**2 + 3*i**2 - 16 - 3*i**2 + i**2 = 0.
-2, 2
Let a be 1/(-3)*1/(-3). Let s(w) be the first derivative of 2/9*w + 1/18*w**4 - 2/27*w**3 + 3 - a*w**2. Factor s(b).
2*(b - 1)**2*(b + 1)/9
Let d be (12/70)/(24/80). Factor 0 + 2/7*s**2 - d*s.
2*s*(s - 2)/7
Let k be ((-26)/(-3))/((-112)/1896). Let t = k + 147. Suppose t*w**2 - 4/7*w**3 + 0 + 0*w + 2/7*w**4 = 0. Calculate w.
0, 1
Let x be 13/3 + (-4)/(-6). Let m(a) = a + 3. Let i be m(x). Factor i*d**3 - 1 - 36*d**2 + 15*d - 3 + 16*d**4 + 7*d.
2*(d + 2)*(2*d - 1)**3
Let a be 1022/(-146)*(0 + (-2)/7). Factor 0*v + 24/7*v**4 + 10/7*v**5 + 0 + 8/7*v**3 + 0*v**a.
2*v**3*(v + 2)*(5*v + 2)/7
Let k(x) be the second derivative of -x**4/72 - x**3/9 - x**2/4 + 5*x. Suppose k(g) = 0. Calculate g.
-3, -1
Let y(l) = -9*l**5 - 39*l**4 - 66*l**3 - 49*l**2 - 16*l - 8. Let m(b) = b**2 + b - 1. Let t(q) = 5*m(q) - y(q). Factor t(i).
3*(i + 1)**4*(3*i + 1)
Let b(f) be the third derivative of f**6/900 - 4*f**5/225 + 13*f**4/180 - 2*f**3/15 + 7*f**2. Find j such that b(j) = 0.
1, 6
Let u(d) = -d**5 - d**4 + d - 1. Suppose -5*p = -0 + 10. Let q = p + 1. Let l(y) = 5*y**5 + 3*y**4 - 2*y**3 - 3*y + 3. Let g(m) = q*l(m) - 3*u(m). Factor g(v).
-2*v**3*(v - 1)*(v + 1)
Find j, given that -4*j**4 + 0*j**4 - 2*j**4 - 6*j**3 - 2*j**2 - 2*j**5 + 0*j**5 = 0.
-1, 0
Let t(y) = -y**2 - 11*y - 1. Let p be t(-10). Suppose 0*n = -3*n + p. Let -15/4*a**n + 3/2 - 3/2*a**2 + 15/4*a = 0. What is a?
-1, -2/5, 1
Factor r**2 - r + 1/4*r**3 - 1/4*r**4 + 0.
-r*(r - 2)*(r - 1)*(r + 2)/4
Let s = 37/1410 + 1/141. Let t(i) be the second derivative of 1/6*i**4 + 1/3*i**2 + s*i**5 + 0 - 3*i + 1/3*i**3. Suppose t(p) = 0. What is p?
-1
Suppose 4*m + 4 = 3*a - 11, -5*a + 2*m = -25. Let h(p) be the third derivative of 1/480*p**6 + p**2 + 0 + 1/8*p**4 + 1/40*p**a + 0*p + 1/3*p**3. Factor h(j).
(j + 2)**3/4
Let z(o) be the second derivative of -o**4/6 - o**3/3 + 23*o. Factor z(u).
-2*u*(u + 1)
Factor -3*y**4 - 21*y**2 + 10*y**3 - 15*y**3 - 4*y - 5*y - 10*y**3.
-3*y*(y + 1)**2*(y + 3)
Let g(s) be the second derivative of -35/2*s**4 - 12*s**2 - 22*s**3 + 0 - 15/4*s**5 - 3*s. Find q such that g(q) = 0.
-2, -2/5
Let u(o) be the third derivative of o**6/450 + o**5/50 + o**4/15 - 7*o**3/6 + 8*o**2. Let t(i) be the first derivative of u(i). Factor t(b).
4*(b + 1)*(b + 2)/5
Determine g so that -2/13*g**3 + 36/13*g**2 + 432/13 - 216/13*g = 0.
6
Let f(m) = 20*m**3 - 140*m**2 - 15*m. Let s(v) = -5*v**3 + 35*v**2 + 4*v. Let w(u) = -4*f(u) - 15*s(u). Find x, given that w(x) = 0.
0, 7
Let z be 0 + -2 - (-4)/6*6. Let i(c) be the first derivative of 1/4*c**4 - 2/5*c**5 + 0*c - 1/4*c**6 - 3 + 1/4*c**z + 2/3*c**3. Find m, given that i(m) = 0.
-1, -1/3, 0, 1
Let b(l) be the second derivative of -l**7/3780 - l**6/540 - l**5/180 - l**4/6 - 3*l. Let o(f) be the third derivative of b(f). Factor o(z).
-2*(z + 1)**2/3
Factor -15*z**2 + 8*z**2 + 8*z**2 - 4.
(z - 2)*(z + 2)
Find y such that -1/2*y**2 + y + 0 = 0.
0, 2
Let m(r) = -r**3 - 3*r**2 + 5*r + 1. Let c be m(-4). Let u be c/(-3) + 5/3. Determine h, given that -u*h**3 - 8/3*h**2 + 0 - 2/3*h = 0.
-1/2, 0
Let s(j) be the first derivative of -1/24*j**4 - 2 - 2*j + 1/4*j**2 + 1/24*j**3 - 1/80*j**5. Let x(k) be the first derivative of s(k). Factor x(q).
-(q - 1)*(q + 1)*(q + 2)/4
Let l = 1546/7 - 220. Factor -2/7*s**5 - l*s**3 + 2/7*s**2 + 0*s + 6/7*s**4 + 0.
-2*s**2*(s - 1)**3/7
Let g(p) be the third derivative of -p**6/300 + p**5/50 - p**4/30 - 2*p**2. Let g(m) = 0. Calculate m.
0, 1, 2
Suppose -6*c = -5*c. Suppose -4 = -c*n - 2*n. Factor g + 2*g**3 + 0 - 2 - 3*g + 2*g**n.
2*(g - 1)*(g + 1)**2
Let 14/3*l**3 + 0 - 14/9*l**5 - 8/9*l - 16/9*l**2 - 4/9*l**4 = 0. What is l?
-2, -2/7, 0, 1
Let a(q) = q**3 - 8*q**2 - 10*q - 10. Let d = 4 - 6. Let g = d + 3. Let i(n) = -n**3 + n**2 - n + 1. Let k(j) = g*a(j) + 2*i(j). Let k(s) = 0. Calculate s.
-2
Let 0 + 0*g + 1/4*g**5 + 1/4*g**2 - 1/4*g**3 - 1/4*g**4 = 0. Calculate g.
-1, 0, 1
Let f(y) be the first derivative of 0*y**3 - y**2 + 0*y - 1 + 1/2*y**4. Factor f(r).
2*r*(r - 1)*(r + 1)
Let z(q) be the second derivative of q**6/120 - 3*q**5/80 + q**4/24 + 4*q. Factor z(k).
k**2*(k - 2)*(k - 1)/4
Let l(c) = -c - 2. Let u be l(-7). Determine g so that -28*g - 28*g**u + 12*g**4 + 132*g**3 + 24*g**4 + 48*g**2 + 4*g - 4*g**2 = 0.
-1, 0, 2/7, 3
Let a be (-3 - -4)*(2 - -2). Let i be (-60)/(-9)*6/a. Determine q so that -3*q**2 + 0*q**2 + i*q**3 - 10*q + 6*q**2 - 4 + q**2 = 0.
-1, -2/5, 1
Let z(h) = -3*h + 42. Let i be z(13). Factor 2/9*u**4 - 2/9*u + 2/3*u**2 - 2/3*u**i + 0.
2*u*(u - 1)**3/9
Let v(y) be the first derivative of -1/420*y**6 + 4 + 0*y**2 + 1/210*y**5 + 1/84*y**4 + 4/3*y**3 + 0*y. Let s(c) be the third derivative of v(c). Factor s(p).
-2*(p - 1)*(3*p + 1)/7
Let o = 25 - 22. Suppose -9*f**4 + 6*f**o - 9*f - 4*f**5 + 3 + 3*f**5 + 4*f**5 + 6*f**2 = 0. What is f?
-1, 1
Let w be -6 - 31/(-8)*2. Let l(v) be the first derivative of w*v**4 - 2 + 18*v**2 + 8*v + 10*v**3. Suppose l(p) = 0. What is p?
-2, -2/7
Factor -18*h**4 + 8*h + 16*h**2 + 2*h**3 - 14*h**4 + 26*h**4.
-2*h*(h - 2)*(h + 1)*(3*h + 2)
Let j(m) be the first derivative of m**8/840 - m**6/90 + m**4/12 + 2*m**3/3 + 2. Let f(y) be the third derivative of j(y). Factor f(q).
2*(q - 1)**2*(q + 1)**2
Let h(d) be the third derivative of d**7/4620 + d**6/1980 - d**3/3 + d**2. Let g(c) be the first derivative of h(c). Factor g(l).
2*l**2*(l + 1)/11
Let s(y) be the first derivative of 0*y**6 + 1/9*y**3 - 1/15*y**5 - 1 + 1/63*y**7 + 0*y**4 + y + 0*y**2. Let z(i) be the first derivative of s(i). Factor z(u).
2*u*(u - 1)**2*(u + 1)**2/3
Let y(f) be the third derivative of f**6/48 + f**5/30 - 8*f**2 - 5. Factor y(w).
w**2*(5*w + 4)/2
Suppose i + 22 = 5*i + 2*m, 2*m = 6. Suppose 2*c = i*d - 8, 3*c - 4*d = -d - 3. Factor a**2 - a**2 - a**3 + a**c.
-a**2*(a - 1)