+ 4*f**5 + 270*f + 120*f**3 + 36*f**4 + 8*f = 0. Calculate f.
-3, -1
Let z(q) be the second derivative of -q + 1/2*q**4 + 0*q**2 + 1/4*q**3 + 0. Suppose z(s) = 0. What is s?
-1/4, 0
Let i(r) be the first derivative of r**6/27 - 4*r**5/45 - r**4/6 + 8*r**3/27 + 4*r**2/9 - 9. Factor i(a).
2*a*(a - 2)**2*(a + 1)**2/9
Let -22/3*k**3 + 14/3*k**2 - 2/3*k + 0 - 14/3*k**4 + 8*k**5 = 0. Calculate k.
-1, 0, 1/4, 1/3, 1
Let t be 14/(-4)*9/(-63). What is k in 0 - t*k - 1/2*k**2 = 0?
-1, 0
Let r(z) be the second derivative of z**2 + 0 + z - 1/4*z**4 + 1/6*z**3. Determine m so that r(m) = 0.
-2/3, 1
Let t(n) = -n**3 - 4*n**2 + 4*n. Let g = -6 - -2. Let h(z) = 3*z**2 - 3*z. Let u(y) = g*h(y) - 3*t(y). Determine a, given that u(a) = 0.
0
Let o = 5604/5 - 1120. Solve -4/5*d**2 + o*d + 4/5 - 4/5*d**3 = 0 for d.
-1, 1
Let s be (17*-1)/(6/(-54)). Let -i**4 - 154*i**3 + s*i**3 + 3 - 3 = 0. Calculate i.
-1, 0
Let m = 92 - 92. Factor 2/3*n**2 + 1/3*n + m + 1/3*n**3.
n*(n + 1)**2/3
Let m be 6 - 6 - (-66 + 0). Factor -154*x**2 + m*x**3 - 3 + 36*x**3 + 64*x - 4*x**3 - 5.
2*(x - 1)*(7*x - 2)**2
Let u(z) be the second derivative of -z**9/9072 - z**8/5040 + 2*z**3/3 + 2*z. Let i(a) be the second derivative of u(a). Suppose i(l) = 0. Calculate l.
-1, 0
Suppose 1/6*q**4 + 37/6*q**2 + 6 + 10*q + 5/3*q**3 = 0. What is q?
-3, -2
Let n = -142 - -1006/7. Find m such that 4/7*m**2 + 0*m + n*m**3 + 12/7*m**4 + 4/7*m**5 + 0 = 0.
-1, 0
Let g(c) be the third derivative of c**3 + 3/8*c**4 + 0*c + 1/20*c**5 - 6*c**2 + 0. Factor g(a).
3*(a + 1)*(a + 2)
Factor -3/4*i**2 - i - 1/4.
-(i + 1)*(3*i + 1)/4
Let z(o) be the first derivative of 2*o**5/5 + 3*o**4/2 + 2*o**3 + o**2 + 8. Factor z(m).
2*m*(m + 1)**3
Let z(h) = -h. Let f be 18*(8/(-12) - 0). Let o(c) = 4*c**3 + 6*c. Let s(k) = k**3. Let d(t) = 2*o(t) - 6*s(t). Let y(a) = f*z(a) - d(a). Factor y(l).
-2*l**3
Suppose 2*j = 4*f, 4*f + f = 4*j. Suppose 4*h - 6 - 10 = j. Let 0 + 1/3*r**2 + 5/3*r**h + 2/3*r**5 + 0*r + 4/3*r**3 = 0. What is r?
-1, -1/2, 0
Let k(d) = 2*d**2 - 48*d + 3. Let y be k(24). Factor 2/9*v**y - 2/9*v + 0 - 2/9*v**2 + 2/9*v**4.
2*v*(v - 1)*(v + 1)**2/9
Let i(y) be the second derivative of y**7/140 + 11*y**6/240 + y**5/8 + 3*y**4/16 + y**3/6 + 3*y**2/2 + y. Let u(g) be the first derivative of i(g). Factor u(t).
(t + 1)**3*(3*t + 2)/2
Let v be -2 + (-9)/((-45)/20). Let f(x) be the first derivative of 0*x - 3/16*x**4 + 0*x**2 + v + 0*x**3. Find o such that f(o) = 0.
0
Let r(f) be the second derivative of 0 - 4/21*f**3 + 2/21*f**4 - 2*f + 0*f**2 - 1/70*f**5. Find z such that r(z) = 0.
0, 2
Let y(v) be the second derivative of -v**6/30 + v**5/5 - v**4/2 + 2*v**3/3 - v**2/2 + 13*v. Factor y(c).
-(c - 1)**4
Suppose 1 - 3/2*c + 1/2*c**3 + 0*c**2 = 0. What is c?
-2, 1
Let o(a) = a**2 - 8*a - 8. Let t(u) = 2*u**2 - 9*u - 8. Let h(k) = -3*o(k) + 2*t(k). Factor h(w).
(w + 2)*(w + 4)
Let w = 151/252 + -1/36. Let z = 30/11 - 188/77. Let 2/7*i**2 + z - w*i = 0. Calculate i.
1
Let a(n) = -n**3 - 3*n**2 + 4*n - 2. Let i(m) = m**3 + 4*m**2 - 5*m + 3. Let d(c) = -3*a(c) - 2*i(c). Suppose d(q) = 0. Calculate q.
-2, 0, 1
Let r = 414 + -8696/21. Let f = r - -31/105. Solve f - 2/5*c**2 + 0*c + 1/5*c**4 + 0*c**3 = 0.
-1, 1
Let h = 57 - 52. Factor 2/9*j**h - 4/9*j**3 - 2/9 - 2/9*j**4 + 2/9*j + 4/9*j**2.
2*(j - 1)**3*(j + 1)**2/9
Let 0 - 11/4*v**2 + 1/2*v = 0. What is v?
0, 2/11
Let l(a) be the third derivative of -a**9/20160 + a**7/1680 + a**5/15 + 3*a**2. Let o(s) be the third derivative of l(s). Find k, given that o(k) = 0.
-1, 0, 1
Let y(k) = -2*k**4 + 2*k**3 - 4*k**2 + k. Let r(g) = -g**4 + g**3 - g**2. Let d(p) = 3*r(p) - y(p). Factor d(s).
-s*(s - 1)**2*(s + 1)
Let j be (-6)/(-14) + (-66)/(-42). Solve 1/4*b**5 + 0*b**j + 1/4*b**4 + 0 + 0*b + 0*b**3 = 0.
-1, 0
Let x(d) be the first derivative of 2*d**6/15 + d**5/20 - d**4/3 - d**3/6 + 4*d - 3. Let o(y) be the first derivative of x(y). Factor o(f).
f*(f - 1)*(f + 1)*(4*f + 1)
Let z = -737 - -14743/20. Let l(j) be the second derivative of 0*j**2 - 1/6*j**3 - 1/4*j**4 - z*j**5 - j - 1/30*j**6 + 0. Factor l(y).
-y*(y + 1)**3
Suppose u = 2*m - 10, -u + 4*u + m = 5. Find w, given that 3*w**4 + 0*w**3 + 3*w**3 + w**2 + u*w**2 + 2*w**5 - w**5 = 0.
-1, 0
Suppose -2*m + 7*m = 3*m. Determine p so that 0*p + m + 1/5*p**2 - 1/5*p**3 = 0.
0, 1
Let m(h) be the second derivative of h**6/360 - h**5/20 + 3*h**4/8 - h**3/6 - 4*h. Let o(n) be the second derivative of m(n). Factor o(k).
(k - 3)**2
Let k = -181/5 - -5431/150. Let o(n) be the third derivative of 0 - 1/525*n**7 + 0*n + 0*n**5 - k*n**6 + 1/15*n**3 + n**2 + 1/30*n**4. Factor o(u).
-2*(u - 1)*(u + 1)**3/5
Let g(q) = 3*q**2 + 7*q. Let s = -3 + -1. Let x(i) = -i**2 - 3*i. Let m(d) = s*g(d) - 10*x(d). Factor m(a).
-2*a*(a - 1)
Factor -1/11*w + 2/11*w**2 - 1/11*w**3 + 0.
-w*(w - 1)**2/11
Suppose i - 3*b = -3*i - 15, 4*b - 20 = -5*i. Let z(n) = n - 1. Let t be z(1). Factor -2/7*u**4 + 0 - 2/7*u**3 + i*u + t*u**2.
-2*u**3*(u + 1)/7
Let z(o) be the third derivative of -o**6/1800 + o**5/200 - o**4/60 + o**3/6 + 2*o**2. Let g(i) be the first derivative of z(i). Solve g(y) = 0.
1, 2
Find i, given that 22*i - 7*i**3 - 9*i**2 + 27*i**4 + 117*i**4 - 84*i**5 - 16*i - 50*i**3 = 0.
-2/7, 0, 1/2, 1
Suppose 1/3*l**2 + 0 + 0*l = 0. What is l?
0
Let r(f) be the third derivative of f**10/90720 - f**9/45360 - f**4/12 - 4*f**2. Let i(x) be the second derivative of r(x). Factor i(o).
o**4*(o - 1)/3
Let u(y) be the third derivative of y**9/30240 + y**8/5040 + y**7/2520 + y**5/30 + 2*y**2. Let j(o) be the third derivative of u(o). Factor j(r).
2*r*(r + 1)**2
Suppose 5*v - 3*v - 20 = 0. Let d = 12 - v. Let 1/3*i**d + 4/3 - 4/3*i = 0. What is i?
2
Let l = 37 + -34. Suppose 5 = -t + 5*n, l*n - 2 = 2*t + n. Solve 0*v + 0*v**2 + t + 1/3*v**3 - 1/3*v**4 = 0.
0, 1
Suppose -5*f + 2*f = -12. Let v(j) = j - 2. Let y be v(f). Factor y*t**5 + 2*t + 2*t**2 + 0*t**2 - 6*t**2 - 4*t**3 + 2 + 2*t**4.
2*(t - 1)**2*(t + 1)**3
Suppose o + 7 = 2*o. Let z = o - 5. Determine d so that -d**4 - 2*d**z + 5 - 2*d**3 - 5 + d**2 = 0.
-1, 0
Let c be (-7 - -7)*1/(-2). Solve 0 - 8*x - 6*x**2 + 1 - 3 + c = 0 for x.
-1, -1/3
Let g(w) be the second derivative of w**7/280 - w**6/60 + w**5/40 - 2*w**3/3 - 3*w. Let n(u) be the second derivative of g(u). Let n(z) = 0. What is z?
0, 1
Let o(f) be the first derivative of -f**7/420 - f**6/240 + f**5/240 - f**3 - 2. Let i(t) be the third derivative of o(t). Factor i(g).
-g*(g + 1)*(4*g - 1)/2
Determine k, given that -3*k**5 + 3*k + 2*k**4 + 0*k**4 - 6*k**2 + 4*k**4 = 0.
-1, 0, 1
What is t in 0 + 0*t + 4/7*t**3 - 8/7*t**2 = 0?
0, 2
Let w(g) = -5*g**2 - 9*g - 21. Let h(y) be the second derivative of -3*y**4/4 - 19*y**3/6 - 41*y**2/2 - 2*y. Let i(t) = -3*h(t) + 5*w(t). Factor i(z).
2*(z + 3)**2
Let v(r) = -7*r**5 + r**4 - 3*r**3 - r**2 - 5*r. Let t(h) = -10*h**5 + h**4 - 4*h**3 - h**2 - 7*h. Let y(g) = -5*t(g) + 7*v(g). Suppose y(m) = 0. Calculate m.
-2, -1, 0, 1
Let y be (11 - (-5 + 1))*-1. Let r be (-16)/y - 10/15. Factor 2/5*l**2 + 0 - r*l.
2*l*(l - 1)/5
Factor -5*n**5 - 4*n**4 - 20*n**3 + 13*n**2 + 3*n**4 + 10 - 3*n**2 + 25*n - 19*n**4.
-5*(n - 1)*(n + 1)**3*(n + 2)
Let f(n) be the first derivative of -n**6/720 + n**4/12 - n**3 - 8. Let p(d) be the third derivative of f(d). Factor p(r).
-(r - 2)*(r + 2)/2
Let x(s) be the third derivative of -s**6/480 - s**5/120 - s**4/96 + 2*s**2. Factor x(a).
-a*(a + 1)**2/4
Let q(s) be the first derivative of -s**4/16 - s**3/6 - s**2/8 + 9. Find y, given that q(y) = 0.
-1, 0
Let k(p) be the third derivative of 0*p**4 + 1/20*p**5 + 0*p + 0 - 1/2*p**3 - 4*p**2. Find o, given that k(o) = 0.
-1, 1
Let u(p) be the third derivative of p**7/630 + p**6/180 - p**5/60 - p**4/18 + 2*p**3/9 - 33*p**2. Factor u(b).
(b - 1)**2*(b + 2)**2/3
Let q(x) = 5*x**3 + 2*x**2 - x + 2. Let v(k) = -21*k**3 - 9*k**2 + 3*k - 9. Let z(b) = 9*q(b) + 2*v(b). Determine n so that z(n) = 0.
-1, 0, 1
Let q be 730/136 + 14/(-119). Let j = 11/2 - q. Factor -j*i**2 + 1/2*i - 1/4.
-(i - 1)**2/4
Let g(a) be the second derivative of -a**9/3024 + a**8/1680 + a**7/840 - a**6/360 + a**3/6 - 2*a. Let y(r) be the second derivative of g(r). Factor y(z).
-z**2*(z - 1)**2*(z + 1)
Let q(l) = 15*l**2 - 33*l + 12. Let t(b) = -46*b**2 + 98*b - 35. Let g(p) = 17*q(p) + 6*t(p). 