 the second derivative of x(o). Factor s(c).
3*c**2*(c - 2)*(c + 1)
Let g = -25 + 26. Suppose -2*w - g = -7. Find i such that 9*i**2 + 4*i**w + 0 + 12*i + 3*i**2 + 2 + 2 = 0.
-1
Solve -3*v**3 + 60*v**4 - 288*v**3 - 261*v**3 + 5*v**5 + 127*v**3 = 0 for v.
-17, 0, 5
Let i(v) be the first derivative of 3/8*v**2 + 1/12*v**3 + 1 + 1/2*v. What is p in i(p) = 0?
-2, -1
Find w such that 4*w**2 + 1/3*w**4 + 4/3*w - 7/3*w**3 - 16/3 = 0.
-1, 2, 4
Let s(x) be the third derivative of -x**8/224 - x**7/5 - 67*x**6/20 - 459*x**5/20 - 243*x**4/16 + 729*x**3/2 + 295*x**2. Solve s(i) = 0 for i.
-9, -2, 1
Suppose 0 = -5*a + 2*m + 31, -52*a + 41*a + 4*m + 65 = 0. Factor -3/4*c**4 + 0*c**a + 3/4*c**2 + 0 + 0*c.
-3*c**2*(c - 1)*(c + 1)/4
Let a = 12296 + -12294. Factor -3/2*u**a - 54 - 18*u.
-3*(u + 6)**2/2
Let a(p) be the third derivative of -8/3*p**3 + 0 - 2*p**2 - 2/3*p**4 + 0*p - 1/15*p**5. Factor a(i).
-4*(i + 2)**2
Let m be 1/(10/(-12))*125/(-50). Factor -a**2 - 3/5 + 1/5*a**m + 7/5*a.
(a - 3)*(a - 1)**2/5
Solve -57*o**4 + 0 + 11/2*o + 86*o**3 + 9/2*o**5 - 39*o**2 = 0 for o.
0, 1/3, 1, 11
Let v = -487/9 - -51. Let s = v + 34/9. What is g in -10/3*g**2 - 8/3*g**3 + 0 - s*g**4 - 4/3*g = 0?
-2, -1, 0
Let p(u) = -17*u - 200. Let t be p(-12). Let g(i) be the second derivative of -1/20*i**6 - i**t - i**3 + 4*i + 0 + 0*i**2 - 3/8*i**5. Factor g(w).
-3*w*(w + 1)*(w + 2)**2/2
Let g(r) be the first derivative of r**4/26 + 8*r**3/13 + 21*r**2/13 + 20*r/13 - 9. Factor g(n).
2*(n + 1)**2*(n + 10)/13
Suppose -4*x + x = -6. Find q, given that -q**4 + 0 - 30*q**3 - 6*q**x - 1 + q + 34*q**3 + 3*q = 0.
1
Let p = -79 - -487/6. Solve 0 - s**4 + 1/6*s**5 + p*s**3 + 2/3*s - 2*s**2 = 0.
0, 1, 2
Let l(p) be the second derivative of p**5/70 - 3*p**4/7 + 47*p**3/21 - 30*p**2/7 - 17*p + 1. Factor l(s).
2*(s - 15)*(s - 2)*(s - 1)/7
Suppose -9 = 4*t - q, 5*q - 18 = -3*t - 42. Let j be t - 4/(-1) - -1. Determine u, given that u - u + 4 - 4*u**j = 0.
-1, 1
Let r(c) = 2*c**2 + 20*c. Let o be (3/28*-4)/((-1)/7). Let g(k) = -k**2 - 20*k. Let p(t) = o*r(t) + 2*g(t). Determine z, given that p(z) = 0.
-5, 0
Let o(z) be the first derivative of 2*z**5/25 - 2*z**4/5 - 4*z**3/5 + 36*z**2/5 - 54*z/5 - 15. Factor o(m).
2*(m - 3)**2*(m - 1)*(m + 3)/5
Let p be (-76)/(-95) - ((-156)/30 + 3). Factor -2/3*g**p - 2/3*g**2 + 0*g + 0.
-2*g**2*(g + 1)/3
Let w = -2/1205 - -1209/2410. Determine m so that -w*m**3 + 1 + 1/4*m**4 + m - 3/4*m**2 = 0.
-1, 2
Let t = 12 - 12. Suppose t = -3*k + 1 - 1. Factor -2/11*f**3 + k + 8/11*f**2 - 8/11*f.
-2*f*(f - 2)**2/11
Let k(m) = -9*m**3 + 77*m**2 + 737*m + 2673. Let d(z) = 283 + 325 + 784 + 39*z**2 - 55 - 5*z**3 + 369*z. Let w(f) = 11*d(f) - 6*k(f). Factor w(r).
-(r + 11)**3
Let n(m) be the third derivative of m**7/1575 - m**6/20 + 281*m**5/450 - 193*m**4/60 + 38*m**3/5 - 274*m**2. Find l such that n(l) = 0.
1, 3, 38
Let z = -1 + 6. Suppose -9*q = -23 + z. Factor 0 + 2/5*m**q + 0*m.
2*m**2/5
Suppose 1/3 - 3/2*u**2 - 5/6*u + 7/6*u**4 + 5/6*u**3 = 0. Calculate u.
-1, 2/7, 1
Let k(g) be the second derivative of 0 - g**3 + 0*g**2 - 1/4*g**4 + 5*g. Factor k(w).
-3*w*(w + 2)
Let v = 5/303 + 889/1212. Determine k so that -3/4*k**3 - v*k**2 - 1/4*k**4 + 0 - 1/4*k = 0.
-1, 0
Let v be 1*3*8/24. Suppose -1 = -n + v. Factor -3*a**4 + 12*a**3 + n*a**5 + 8*a**2 + a + 3*a**4 + a + 8*a**4.
2*a*(a + 1)**4
Let t(c) be the first derivative of 10*c**3 - 3*c**2 - 27/8*c**4 + 5 + 0*c. Factor t(x).
-3*x*(x - 2)*(9*x - 2)/2
Suppose -3*b + 27 = r + 2*b, 1 = -2*r + b. Let p = 13/6 + -79/42. Suppose 2/7*t - 4/7*t**4 + p*t**5 + 8/7*t**r - 4/7 - 4/7*t**3 = 0. What is t?
-1, 1, 2
Let p be -6*(5 + -4) - -4. Let h(c) = -c**3 + c**2. Let z(y) = 7*y**3 - 46*y**2 - 36*y. Let s(b) = p*h(b) + z(b). Find t such that s(t) = 0.
-2/3, 0, 6
Suppose -5*k = 3*z - 12, 0 = -6*k + 3*z - 19 + 7. Let k + 0*p + 0*p**2 - 2/13*p**3 + 2/13*p**4 = 0. What is p?
0, 1
Let v(n) be the second derivative of 30*n - 2/27*n**4 + 1/45*n**5 + 0 - 2/9*n**3 + 0*n**2. Suppose v(p) = 0. Calculate p.
-1, 0, 3
Suppose -12*l = 15*l. Let -12/19*x**4 + 0*x**2 + 2/19*x**5 + l + 0*x + 18/19*x**3 = 0. What is x?
0, 3
Let j(m) = -72*m**4 - 424*m**3 + 968*m**2 - 56*m + 28. Let f(l) = -13*l**4 - 77*l**3 + 176*l**2 - 10*l + 5. Let a(g) = -28*f(g) + 5*j(g). Factor a(b).
4*b**2*(b - 2)*(b + 11)
Suppose -9 = 4*f - n - 4*n, 3 = -3*f + 3*n. Let x(w) be the second derivative of -1/25*w**5 + 0 + 1/6*w**f + 5*w + 0*w**2 - 2/15*w**3. Factor x(i).
-2*i*(i - 2)*(2*i - 1)/5
Suppose 47*p - 42 = 147 + 46. Factor 24/13*k**2 + 0 + 2*k**3 + 8/13*k + 2/13*k**p + 12/13*k**4.
2*k*(k + 1)**2*(k + 2)**2/13
Let m be ((-10)/(-4))/(11/22). Factor -39*n**2 - m*n**3 + 75*n**2 - 36*n**2 - 5*n**4.
-5*n**3*(n + 1)
Let v(m) be the third derivative of m**7/1080 - m**6/240 + m**5/180 - 5*m**4/24 - 18*m**2. Let x(g) be the second derivative of v(g). Factor x(d).
(d - 1)*(7*d - 2)/3
Let j(g) = g. Let n be j(2). Factor -9*k**4 - 4*k**3 - 13*k**4 - 2*k**n + 20*k**4.
-2*k**2*(k + 1)**2
Suppose 4*q + 10 = 26. Let f(o) be the first derivative of -5 - o**3 - 1/5*o**5 - 2*o**2 + q*o + o**4. Factor f(g).
-(g - 2)**2*(g - 1)*(g + 1)
Let y = 59 + -64. Let d(c) = -16*c**2 + c. Let t(z) = 9*z**2. Let h(a) = y*t(a) - 3*d(a). Factor h(w).
3*w*(w - 1)
Find f such that -25/4 - 144*f**2 + 60*f = 0.
5/24
Let j = 27 - 24. Suppose -3*c = 2*b + 2, 4*c + j*b - 2 + 6 = 0. Factor 0*d + c + 1/8*d**4 - d**2 + 0*d**3.
(d - 2)**2*(d + 2)**2/8
Suppose -4*o + 101 + 7 = 0. Factor 3*i**4 + 4 - 4 + 33*i**2 + o*i**3 + 21*i - 9*i - 3*i**5.
-3*i*(i - 4)*(i + 1)**3
Find t such that 130*t + 4/5*t**3 - 169/5 + 103/5*t**2 = 0.
-13, 1/4
Suppose 3*h = -b + 2, 5*h + 31*b - 26*b = -10. Determine z so that 5/3*z**h + 60 + 20*z = 0.
-6
Let w(d) = d**3 + 60*d**2 + 782*d - 1798. Let j(z) = -2*z**3 - 121*z**2 - 1565*z + 3595. Let n(s) = -2*j(s) - 5*w(s). Factor n(f).
-(f - 2)*(f + 30)**2
Let k(z) = -13*z**3 - 9*z**2 + 9*z + 5. Let u(f) = f**3 + f**2 + f + 1. Let h(a) = 2*k(a) + 22*u(a). Factor h(v).
-4*(v - 4)*(v + 1)*(v + 2)
Let d = 15 + -11. Suppose 3*i - d*i = -3. Solve 2*u**4 + 0*u**3 + 2*u**i + 2*u**3 - 6*u**4 = 0.
0, 1
Factor 12/7 - 6/7*f**2 + 2*f.
-2*(f - 3)*(3*f + 2)/7
Let v be (-12)/63*((-6)/9)/(16/36). Suppose 6/7*r**3 - v*r**5 - 4/7*r**2 + 0 + 0*r + 0*r**4 = 0. Calculate r.
-2, 0, 1
Let x(j) be the second derivative of -j**2 + 1/20*j**5 + 9*j + 0 - 1/4*j**4 + 1/30*j**6 - 5/6*j**3. Solve x(d) = 0.
-1, 2
Let x(n) be the second derivative of 0 - 2/3*n**4 + 8/3*n**3 + 2/5*n**6 - 2*n**2 + 4*n - 4/5*n**5. Suppose x(b) = 0. Calculate b.
-1, 1/3, 1
Let q be (-105)/(-300) - (-1)/(-3). Let u(x) be the third derivative of 0 + 0*x - q*x**4 + 5*x**2 + 1/300*x**6 + 0*x**5 + 0*x**3. Let u(d) = 0. What is d?
-1, 0, 1
Let m(a) be the second derivative of 0*a**2 - 1/30*a**3 + 0 - 1/20*a**4 + 8*a. Determine f, given that m(f) = 0.
-1/3, 0
Suppose -70 = s + s. Let i = s + 104. Let 6*n**2 + 2*n**3 + 2 + 75*n + 0*n**3 - i*n = 0. Calculate n.
-1
Factor -19/2*a**2 + a**3 + 14*a + 1/2*a**4 - 6.
(a - 2)*(a - 1)**2*(a + 6)/2
Let t be 1 + -3 + (-18)/(-3). What is w in 16*w**3 + 15*w**2 + t*w**4 + 13*w**2 - 12*w**2 = 0?
-2, 0
Let i(v) be the first derivative of 16 + 10*v**2 - 5/3*v**3 - 20*v. Find a such that i(a) = 0.
2
Let x(m) be the first derivative of 13/4*m**2 + 48 + 1/6*m**3 + 6*m. Factor x(t).
(t + 1)*(t + 12)/2
Let v(c) be the first derivative of -1/48*c**4 + 0*c - 1/120*c**5 - 4 + 2*c**2 + 0*c**3. Let f(t) be the second derivative of v(t). Let f(k) = 0. Calculate k.
-1, 0
Let r(z) be the third derivative of z**7/2520 - z**6/90 + 7*z**5/120 + 5*z**4/24 - 11*z**2. Let l(q) be the second derivative of r(q). Factor l(g).
(g - 7)*(g - 1)
Let o(s) be the first derivative of 0*s**3 + 3 + 1/42*s**4 + 0*s - 2*s**2 + 1/210*s**5 - 1/420*s**6. Let y(w) be the second derivative of o(w). Factor y(r).
-2*r*(r - 2)*(r + 1)/7
Let m(x) = x**3 + 10*x**2 + 11*x + 12. Let o be m(-9). Let a = 13 + o. Factor -2*v**2 - a*v - v**2 + 6 + 4*v.
-3*(v - 1)*(v + 2)
Let m(o) be the third derivative of -o**7/210 - o**6/24 - o**5/15 + 16*o**2. Solve m(u) = 0 for u.
-4, -1, 0
Let p(a) = 3*a**2 + 850*a + 90738. Let g(n) = -n**2 + 2*n. Let h(c) = g(c) + p(c). Factor h(j).
2*(j + 213)**2
Let f = -1366 - -5491/4. Factor -1/2 + f*a**3 - 9*a**2 + 15/4*a.
(3*a - 2)*(3*a - 1)**2/4