f c**9/3780 - c**8/840 - c**7/630 + c**6/90 - c**4/3 + c**2. Let q(y) be the second derivative of d(y). Factor q(g).
4*g*(g - 2)*(g - 1)*(g + 1)
Let o(c) = -c**4 - 3 + 3 - c + 76*c**3 - 75*c**3 + c**2. Let i(w) = -6*w**4 - 3*w**3 + 6*w**2 + 3*w. Let q(f) = i(f) + 6*o(f). Factor q(p).
-3*p*(p - 1)*(p + 1)*(4*p - 1)
Let h = -13 + 20. Let n = -5 + h. Let 1/2*g - 1/4*g**n - 1/4 = 0. Calculate g.
1
Let n(g) be the third derivative of -1/480*g**6 - 1/24*g**3 + 0*g + 0 + 1/240*g**5 - 4*g**2 + 1/96*g**4. Suppose n(d) = 0. What is d?
-1, 1
Factor -1/3*g**2 + 10/3 + g.
-(g - 5)*(g + 2)/3
Let m(a) be the second derivative of -a**6/270 + a**5/90 - a**3/27 + a**2/18 - 10*a. Solve m(s) = 0 for s.
-1, 1
Let b(r) be the third derivative of -r**5/120 + r**3/12 - 9*r**2. Factor b(u).
-(u - 1)*(u + 1)/2
Let w(y) be the first derivative of -y**8/112 + 3*y**7/70 - 3*y**6/40 + y**5/20 + y**2/2 - 1. Let j(i) be the second derivative of w(i). Factor j(c).
-3*c**2*(c - 1)**3
Let n(w) = -15*w**2 - 30*w - 20. Let f(u) = 8*u**2 + 15*u + 10. Let x(o) = 5*f(o) + 3*n(o). Suppose x(l) = 0. Calculate l.
-2, -1
Let b(k) be the first derivative of k**3/3 + k**2 - 3*k + 21. Find i, given that b(i) = 0.
-3, 1
Factor 2/7 + 1/7*o - 1/7*o**2.
-(o - 2)*(o + 1)/7
Let w(t) be the third derivative of t**6/24 + t**5/6 - 5*t**4/8 - 7*t**2. Factor w(h).
5*h*(h - 1)*(h + 3)
Let q(f) be the third derivative of 3*f**8/32 + 41*f**7/140 - f**6/20 - f**5/10 + 44*f**2. Find k, given that q(k) = 0.
-2, -2/7, 0, 1/3
Let j be (-26)/(-264) - (-7)/21. Let t = -2/11 + j. Factor 0 + t*a**3 + 1/2*a**2 + 1/4*a.
a*(a + 1)**2/4
Let l(f) be the third derivative of f**8/84 + 4*f**7/105 - f**6/30 - 2*f**5/15 + 21*f**2. Factor l(i).
4*i**2*(i - 1)*(i + 1)*(i + 2)
Let u be (-16)/(-50)*25/60. Factor -4/3*b**2 - 2/3*b**4 + 4/3*b**3 - 2/15 + 2/3*b + u*b**5.
2*(b - 1)**5/15
Let n(r) be the third derivative of -8*r**2 + 0*r + 0 - 1/240*r**5 - 1/6*r**3 + 1/24*r**4. Determine c, given that n(c) = 0.
2
Let i be 5/(-60)*3/(-5). Let k(p) be the second derivative of -i*p**5 + 2*p + 0*p**4 + 1/6*p**3 + 0*p**2 + 0. Factor k(l).
-l*(l - 1)*(l + 1)
Let k(g) be the second derivative of -1/2*g**2 + 3*g + 0*g**3 + 1/12*g**4 + 0. Factor k(u).
(u - 1)*(u + 1)
Factor -2/9*i**4 + 2/3*i**2 + 4/9 - 10/9*i + 2/9*i**3.
-2*(i - 1)**3*(i + 2)/9
Let h = -2/1217 - -29218/6085. Let z = h + -206/45. Factor 4/9*t - z*t**2 + 0 - 2/9*t**3.
-2*t*(t - 1)*(t + 2)/9
Let b(o) = -o + 1. Let u be b(3). Let j = 7 + u. Solve -5*r - 8 - j*r - 11*r - 14*r**2 - 11*r = 0.
-2, -2/7
Let w(x) be the first derivative of 4*x**5 - 17*x**4 + 28*x**3 - 22*x**2 + 8*x + 4. Factor w(q).
4*(q - 1)**3*(5*q - 2)
Let p(s) = -s**2 + 5*s + 10. Let u be p(6). Let w(r) be the first derivative of 1 + 0*r**2 + 0*r + 1/8*r**u + 0*r**3. Find f, given that w(f) = 0.
0
Let s = 328 - 655/2. Find d such that -1/2*d**3 - d**2 + 0 - s*d = 0.
-1, 0
Suppose -12*c + 50 + 34 = 0. Let i(l) be the third derivative of -2*l**2 + 0*l**5 + 0*l**3 - 1/945*l**c + 1/540*l**6 + 0*l + 0 + 0*l**4. Factor i(s).
-2*s**3*(s - 1)/9
Let g = 20 - -34. Suppose -34*k - 5*q - 8 = -35*k, 2*k - 3*q = 9. Factor 729/2*y**k - 243*y**2 + g*y - 4.
(9*y - 2)**3/2
Let q(g) be the first derivative of g**3/3 + 5*g**2/2 + 4*g + 26. Find c such that q(c) = 0.
-4, -1
Suppose -3*o = -2*o. Let h(r) be the third derivative of 1/210*r**5 + 0 + o*r**4 + r**2 + 0*r**3 + 0*r. Determine d, given that h(d) = 0.
0
Find o, given that -2*o + o**4 - 4*o**3 + 6*o - 2*o**2 + o**4 = 0.
-1, 0, 1, 2
Let f be 11/(-18) + (-14)/(-21). Let k(n) be the second derivative of 0 - f*n**4 + 1/3*n**2 + 0*n**3 - n. Suppose k(t) = 0. Calculate t.
-1, 1
Let z(d) be the first derivative of -d**6/16 - 3*d**5/20 + 9*d**4/32 + 23. Factor z(h).
-3*h**3*(h - 1)*(h + 3)/8
Let x(z) be the first derivative of 0*z + 0*z**3 + 0*z**2 + 1/10*z**4 - 6. Solve x(l) = 0.
0
Factor 2*h - 3/2 + 3/2*h**2 - 2*h**3.
-(h - 1)*(h + 1)*(4*h - 3)/2
Let b(j) be the third derivative of -j**7/840 + j**6/120 + 3*j**5/40 + j**4/6 + 4*j**2. Let u(x) be the second derivative of b(x). Factor u(p).
-3*(p - 3)*(p + 1)
Let k(d) be the first derivative of -d**4/18 - 4*d**3/27 + d**2/9 + 4*d/9 + 1. Factor k(f).
-2*(f - 1)*(f + 1)*(f + 2)/9
Let s = -1 - -5. Let w be (-2)/s*(-4 - 0). Let -b**2 + 0*b + w*b + 3*b**2 = 0. What is b?
-1, 0
Let f(k) = k + 5. Let u be f(-5). Let a be 91/28 - (3 - u). Factor -1/4*s**2 - 1/4*s**3 + 1/4 + a*s.
-(s - 1)*(s + 1)**2/4
Suppose 3*p + 3*n + 0 = 6, -5*p - 3*n = -12. Find g such that -2*g**p + 8 - 1 - 7 = 0.
0
Let s(u) be the first derivative of u**4/8 - u**3/12 - u**2 + u - 20. Find f such that s(f) = 0.
-2, 1/2, 2
What is m in 4/5 - 2/5*m**2 - 2/5*m = 0?
-2, 1
Let g be (-3)/4 + 114/24. Factor 4/3*a**2 + a**g - 8/3*a + 0 + 10/3*a**3.
a*(a + 2)**2*(3*a - 2)/3
Let x(t) be the third derivative of -t**5/140 + t**3/14 + 31*t**2. Find c such that x(c) = 0.
-1, 1
Solve 6 - 2*o - 3*o + o - 4*o**2 + 4*o**3 - 2 = 0 for o.
-1, 1
Let s = -1420/3 + 474. Determine l so that 2/3*l**2 + 0*l + l**3 + 0 - l**4 - s*l**5 = 0.
-2, -1/2, 0, 1
Factor -3/4*y**3 + 3/4*y + 1/4*y**2 - 1/4*y**4 + 0.
-y*(y - 1)*(y + 1)*(y + 3)/4
Let c(n) = n**3 - 2*n**2 + n + 1. Let v be c(2). Find f, given that 0*f**3 - 2*f**5 - 2*f + 2*f**v + 2*f**3 = 0.
-1, 0, 1
Let g(k) = -k - 15. Let f be g(-15). Let l(u) be the first derivative of -2/15*u**5 + 0*u + 0*u**3 + 0*u**2 - 2 + f*u**4. Factor l(p).
-2*p**4/3
Let t(o) be the second derivative of 7/20*o**5 - 5*o - o**2 + 0 - 7/6*o**3 - 1/4*o**4 + 1/6*o**6. Suppose t(m) = 0. What is m?
-1, -2/5, 1
Let b be (-3 - -5)/(2/(-1)). Let i be b/(-1) - (-1)/1. Find w such that -5 + 1 + 0*w - 4*w - w**i = 0.
-2
Let p be (-10)/(-3) - (-6)/(-3). Let m(b) be the first derivative of 0*b + 1/2*b**4 - 1 + b**2 - p*b**3. Let m(i) = 0. Calculate i.
0, 1
Factor 6*b + 5/3*b**2 - 8/3.
(b + 4)*(5*b - 2)/3
Let i(u) be the second derivative of 7/2*u**3 + 9/2*u**2 + 5/4*u**4 + 3/20*u**5 + 0 - 4*u. Determine z, given that i(z) = 0.
-3, -1
Let u(z) be the third derivative of -z**8/336 - 2*z**7/105 - z**6/40 + z**5/15 + z**4/6 + 27*z**2. Suppose u(a) = 0. What is a?
-2, -1, 0, 1
Let s(d) be the first derivative of 3*d + 2 + 6*d**2 - 3 + d**3 - 3*d**2. Let s(r) = 0. What is r?
-1
Let q(r) be the second derivative of r**6/225 + r**5/75 - 2*r**4/45 - 2*r**3/45 + r**2/5 + 2*r. Solve q(t) = 0.
-3, -1, 1
Let p be (0 - 15/(-4)) + (-75)/(-100). Determine d so that 1/2*d**2 + p - 3*d = 0.
3
Let t(k) be the third derivative of 15*k**8/112 + k**7/21 - 3*k**6/8 - k**5/6 - 29*k**2. Find i, given that t(i) = 0.
-1, -2/9, 0, 1
Let z be 3 + (-4)/(-1) + -4. Factor 0 + 0*r - 2*r**z + 4/3*r**2.
-2*r**2*(3*r - 2)/3
Let r(q) = -4*q**2 - 4*q - 3. Let u be r(-2). Let j be -3 - u/(-3)*-1. Solve 0*a + 2*a**3 + 2*a**4 + 0 + j*a**5 + 2/3*a**2 = 0.
-1, 0
Let o(b) be the second derivative of -b**8/1176 - b**7/147 - 2*b**6/105 - 2*b**5/105 - 2*b**2 + 2*b. Let a(d) be the first derivative of o(d). Factor a(t).
-2*t**2*(t + 1)*(t + 2)**2/7
Let l = 11/6 + -3/2. Determine h, given that 2/3*h**2 - l*h - 1/3*h**3 + 0 = 0.
0, 1
Let x(k) = -29 - 3*k**2 - 1 - 20 + 24*k. Let f(a) = 1. Let g(s) = 2*f(s) + x(s). Find q such that g(q) = 0.
4
Let s(a) = a. Let v = 22 - 22. Let x be s(v). Find t, given that 0*t + 2/11*t**5 + 0 + x*t**3 + 0*t**2 + 0*t**4 = 0.
0
Let z(g) = 6*g**2 + 3*g. Let f be 2*(-2 - (-7)/2). Let v(h) = -h**2 + h. Let r(l) = f*v(l) + z(l). Factor r(t).
3*t*(t + 2)
Let s(l) be the first derivative of 2*l**5/45 - l**4/9 + 2*l**3/27 + 5. Factor s(k).
2*k**2*(k - 1)**2/9
Factor 1/4*z**2 + 3/4 + 1/4*z**3 - 5/4*z.
(z - 1)**2*(z + 3)/4
Let y = 399 - 1196/3. Let 1/3*p**2 - y - 1/3*p**3 + 1/3*p = 0. What is p?
-1, 1
Let u(s) = -s**3 - 9*s**2 - 9*s - 6. Let q be u(-8). Factor 0*b - 4*b**2 - 12*b - q*b**3 - 6*b + 16*b**2.
-2*b*(b - 3)**2
Let y = -53 - -56. Factor 0*w**2 + w**y - 1/2*w + 0 + 0*w**4 - 1/2*w**5.
-w*(w - 1)**2*(w + 1)**2/2
Let p(b) be the third derivative of -b**5/450 - b**4/36 + 17*b**2. Factor p(w).
-2*w*(w + 5)/15
Let h(x) be the second derivative of -x**3 + 2*x - 9/2*x**2 - 1/12*x**4 + 0. Factor h(o).
-(o + 3)**2
Let v(k) = 7*k**2 + 2*k + 3. Let z be v(-1). Suppose -8/5*g - z*g**2 + 0 + 28*g**4 + 6/5*g**3 - 98/5*g**5 = 0. What is g?
-2/7, 0, 1
Suppose 57 + 21 = 26*m. Let q(h) be the first derivative of -3/