w(u) be the second derivative of n(u). Factor w(b).
-2*b**2*(7*b + 2)
Let k = -4700 + 4700. Solve k*z + 2/3*z**2 - 2/3 = 0.
-1, 1
Let h be (11 - 2) + (-14 - -7 - -1). Let y(d) be the first derivative of -7 + 6*d + 0*d**h + 3/4*d**4 - 9/2*d**2. Solve y(v) = 0 for v.
-2, 1
Let o be ((-147)/28 - -6) + (-5)/20. Solve -o*z**2 + z - 1/2 = 0.
1
Let t(j) = -3*j**3 + j**2 + j - 1. Let k be t(1). Let n be (0 + -1)/(k/4). Factor -4 - 4*d**2 - n*d + 2 - 2 + 12*d.
-2*(d - 2)*(2*d - 1)
Let h(s) be the first derivative of -s**4/2 - 70*s**3/3 - 403*s**2 - 3042*s + 106. Find g such that h(g) = 0.
-13, -9
Let w(g) be the first derivative of g**5/30 - g**4/9 + g**3/9 + 2*g**2 - 11. Let d(n) be the second derivative of w(n). Find k such that d(k) = 0.
1/3, 1
Let o = -87599/120 - -730. Let l(k) be the third derivative of 0*k**4 + 1/240*k**6 + 0 + o*k**5 - 6*k**2 + 0*k + 0*k**3. Determine v so that l(v) = 0.
-1, 0
Find r such that 4*r**2 - 3*r**2 - 3*r**2 + 4 - 2*r**2 + 0*r**2 = 0.
-1, 1
Let b(n) be the second derivative of 22*n**4/3 - 46*n**3/3 + 2*n**2 + 204*n. Factor b(x).
4*(x - 1)*(22*x - 1)
Factor 2*k + 9/5*k**2 - 1/5*k**3 + 0.
-k*(k - 10)*(k + 1)/5
Let c be -4 + 1 + (5 - -1). Let g(f) be the second derivative of 0 - 3/140*f**5 + 0*f**c + 0*f**2 - 4*f + 1/28*f**4. Factor g(h).
-3*h**2*(h - 1)/7
Let t(j) be the third derivative of j**7/75 - 17*j**6/100 - 7*j**5/50 + 107*j**4/12 - 10*j**3 + j**2 + 297. Suppose t(m) = 0. What is m?
-3, 2/7, 5
Let c(y) be the third derivative of 0*y**3 - 3*y**2 + 0 - 1/4*y**4 + 0*y - 1/20*y**5. Factor c(o).
-3*o*(o + 2)
Let i(o) be the first derivative of -3*o**4/4 + 3*o**3 - 9*o**2/2 + 3*o - 175. Let i(j) = 0. What is j?
1
Find l, given that -1/8*l**5 + 19/4*l**4 - 53/4*l**3 + 4*l**2 + 107/8*l - 35/4 = 0.
-1, 1, 2, 35
Find g such that -166*g**2 + 64 - 92*g - 202*g**3 - 204*g**3 + 396*g**3 = 0.
-16, -1, 2/5
Suppose -3*u + 5*x = 4, 2*u + 2*x = -1 + 9. Solve -10*q - 10*q + 4*q**u - 4*q**2 + 5*q**2 = 0 for q.
0, 4
Let q(z) be the third derivative of 0*z**7 + 1/1848*z**8 + 0*z + 0 - 5*z**2 - 1/660*z**6 + 0*z**4 + 0*z**5 + 0*z**3. Factor q(p).
2*p**3*(p - 1)*(p + 1)/11
Let c(p) be the third derivative of -p**6/960 + 17*p**5/480 - 31*p**4/192 + 5*p**3/16 + p**2 - 172*p. Suppose c(s) = 0. Calculate s.
1, 15
Let t(p) = p**3 + 3*p**2 - 3*p + 4. Let h be t(-4). Let k = 20777 + -270099/13. Factor -k*l**4 + h*l**3 - 2/13*l**5 + 0*l + 0 + 0*l**2.
-2*l**4*(l + 1)/13
Suppose -3*g - 5*x + 44 = 0, -x + 44 = 5*g - 0*g. Let m = g + -22/3. Factor 2/9 - 2/3*d + m*d**2 - 2/9*d**3.
-2*(d - 1)**3/9
Factor -118 - 84*x + 64*x - 104 + 3*x**2 - 20*x - 65*x.
3*(x - 37)*(x + 2)
Let f = 22 - 36. Let m = f + 48. Factor 11 + m*r**3 - 54*r**3 + 20*r + 4 - 10*r**2 - 5*r**4.
-5*(r - 1)*(r + 1)**2*(r + 3)
Let m(x) be the second derivative of -x**6/75 - x**5/25 + 7*x**4/30 - 4*x**3/15 + 10*x - 4. Suppose m(y) = 0. What is y?
-4, 0, 1
Find l, given that -13/2*l - 3 + 4*l**2 = 0.
-3/8, 2
Let s(h) = -h**2 + 14*h - 26. Let y be s(8). Factor 22*p**3 + 8*p**2 - 16*p**4 - 16*p**2 + y*p**4.
2*p**2*(p + 4)*(3*p - 1)
Let o(r) be the third derivative of r**7/504 + r**6/48 + r**5/12 + 7*r**4/24 + 17*r**2. Let k(t) be the second derivative of o(t). What is n in k(n) = 0?
-2, -1
Factor -2*p**2 - 6/5 - 23/5*p.
-(p + 2)*(10*p + 3)/5
Let s(o) = 33*o - 2902. Let r be s(88). Suppose 3/2*m**4 + 0*m + 3*m**3 + 0 - 9/2*m**r = 0. What is m?
-3, 0, 1
Let q = 72 - 68. Let a = q - 2. Solve -8/7*i + 0 + 0*i**a - 2/7*i**4 + 6/7*i**3 = 0.
-1, 0, 2
Let p(j) be the second derivative of 3*j**5/160 + 5*j**4/8 - 11*j**3/4 + 531*j. Factor p(m).
3*m*(m - 2)*(m + 22)/8
Suppose 11*l = 22*l - 18*l. Let g(n) be the second derivative of 7*n + 0 + 1/2*n**2 - 1/12*n**4 + l*n**3. Factor g(j).
-(j - 1)*(j + 1)
Let u(z) = 2*z**2 + 43*z + 221. Let m be u(-13). Suppose m + 1/5*p**3 - 1/5*p**4 - 1/5*p + 1/5*p**2 = 0. What is p?
-1, 0, 1
Let -108/7*y - 18/7*y**2 - 1/7*y**3 - 216/7 = 0. What is y?
-6
Let o(d) be the second derivative of 0*d**5 + 24*d - 4/15*d**6 - 2/3*d**3 + 0 + 0*d**2 + 2/21*d**7 + 2/3*d**4. Factor o(i).
4*i*(i - 1)**3*(i + 1)
Let g(r) = -r**4 - 36*r**3 + 28*r**2 + 3*r. Let z(q) = q**4 + 33*q**3 - 28*q**2 - 2*q. Let c(n) = -2*g(n) - 3*z(n). Factor c(s).
-s**2*(s - 1)*(s + 28)
Let u = 116/19 + -6. Let x be (165/(-57) - -3) + 0. Let x*r + 2/19 - u*r**2 - 2/19*r**3 = 0. What is r?
-1, 1
Let b(z) = z**5 - z**3. Let j(d) = 78*d**3 + 3*d**5 + 2 - 86*d**3 - 2*d**2 + 5*d - 4*d**4 + 4*d**2. Let g(u) = -4*b(u) + j(u). Suppose g(v) = 0. Calculate v.
-2, -1, 1
Let x = 1/50245 + 371782/1557595. Let j = 5/31 + x. Solve 2/5*t**2 + 0 + 4/5*t**3 - j*t = 0.
-1, 0, 1/2
Let n(u) be the first derivative of -u**6/3 + 8*u**5/3 - 8*u**4 + 32*u**3/3 - 16*u**2/3 - 414. Determine m so that n(m) = 0.
0, 2/3, 2
Let r(l) = l**3 + 13*l**2 - 16*l. Let v be r(-14). Determine q, given that -v*q**5 + 36*q**4 + 0*q**3 + 8*q - 36*q**2 + 8*q**3 + 13*q**3 - q**3 = 0.
-1, 0, 2/7, 1
Suppose -4*f = -3*b + 11 + 19, 2*b + f = 31. Factor -b*a - a**2 - 9*a + 21*a.
-a*(a + 2)
Let g(m) be the second derivative of 0*m**2 - 18*m + 1/10*m**5 + 0 + 1/45*m**6 - 5/18*m**4 + 2/9*m**3 - 1/63*m**7. What is o in g(o) = 0?
-2, 0, 1
Let x = -43843/30 + 8771/6. Let h be -4*((-6)/5 - -1). Factor -h*i + 0 + x*i**2.
2*i*(i - 2)/5
Suppose 15*r + 141 = 201. Factor 1/2*p**r + 15/2*p**2 + 9/2*p + 7/2*p**3 + 0.
p*(p + 1)*(p + 3)**2/2
Let f be 2/308 - (-549)/4026. Find t, given that f*t**2 + 12/7*t + 36/7 = 0.
-6
Let l(z) be the second derivative of z**6/105 + z**5/7 + 6*z**4/7 + 18*z**3/7 + 27*z**2/7 - 5*z + 3. What is c in l(c) = 0?
-3, -1
Let k(v) be the third derivative of 0*v - 17*v**2 + 0*v**3 - 1/105*v**7 + 0 + 0*v**6 + 0*v**5 + 1/336*v**8 + 0*v**4. Let k(c) = 0. What is c?
0, 2
Let z(i) = -i**2 + 8*i - 7. Let l(m) be the second derivative of -4/3*m**3 + 4*m**2 - 2*m + 0. Let w(b) = -5*l(b) - 4*z(b). Solve w(v) = 0 for v.
-3, 1
Let m = -12 + 20. Let n be 1/(1 - 4/m). Solve -w + 6*w**3 + 4*w**n + 3*w - 4*w**3 = 0.
-1, 0
Let s = 85 + -416/5. Let q(m) be the first derivative of -1/2*m**6 + 0*m - 9/4*m**4 + m**3 + 0*m**2 - 3 + s*m**5. Factor q(d).
-3*d**2*(d - 1)**3
Let i = -5699/20 + 285. Let n(g) be the first derivative of g + 3/2*g**2 + 3/8*g**4 + i*g**5 + 13/12*g**3 - 1. Suppose n(j) = 0. Calculate j.
-2, -1
Let j(n) be the third derivative of -n**8/672 + 3*n**7/70 - 7*n**6/20 - 49*n**5/60 + 343*n**4/16 - 2*n**2 - 16*n. Factor j(d).
-d*(d - 7)**3*(d + 3)/2
Suppose 0 = -3*c + 3*v - v + 13, v = -4*c + 21. Factor 1 + 0 + 10*q + c*q**2 + 4.
5*(q + 1)**2
Let a be 2 + (-2 - (-3 + -27)). Factor 28*f**5 - a*f**5 - 1 + 4*f**2 + 1 + 6*f**3.
-2*f**2*(f - 2)*(f + 1)**2
Let x(a) be the second derivative of a**4/6 - 23*a**3/3 + 22*a**2 + 54*a. Factor x(r).
2*(r - 22)*(r - 1)
Let w = 6077/4074 - -17/2037. Factor 0 + 0*z**2 + 2*z**4 - 1/4*z + 3/4*z**5 + w*z**3.
z*(z + 1)**3*(3*z - 1)/4
Suppose w - 10 = 2*b, 5*w = -b + 282 - 287. Factor 6/7*y**2 - 2/7*y**3 + 0*y + w.
-2*y**2*(y - 3)/7
Let o(u) = 42*u - 42. Let v be o(1). Let q(g) be the second derivative of 1/6*g**3 + v*g**2 + 1/6*g**4 + 0 - 4*g + 1/20*g**5. Factor q(z).
z*(z + 1)**2
Let d = -9/56 + 419/2520. Let v(j) be the third derivative of 3*j**2 + 0*j + 0 + 0*j**4 + 1/18*j**3 - d*j**5. Find g such that v(g) = 0.
-1, 1
Let c(r) be the first derivative of 15/4*r**4 + 0*r**2 - 20 + 5/3*r**3 + 0*r + 3*r**5 + 5/6*r**6. Factor c(u).
5*u**2*(u + 1)**3
Suppose -10*s - 470 = -15*s. Let v = -94 + s. Factor 2/5*f**5 + v*f + 6/5*f**4 + 2/5*f**2 + 6/5*f**3 + 0.
2*f**2*(f + 1)**3/5
Let l(q) be the first derivative of 2*q**5/15 - q**4/6 - 314. Determine m so that l(m) = 0.
0, 1
Let w(t) = -3*t**3 - 10*t**2 + 13. Let v be w(-3). Factor 14/3*p**v + 2 + 44/3*p**2 - 12*p**3 - 26/3*p - 2/3*p**5.
-2*(p - 3)*(p - 1)**4/3
Let t = 14137/316 - -1/79. Let r = t + -44. Determine d so that -r*d**3 + 3/4*d**2 + 0 + 0*d = 0.
0, 1
Let l(k) be the third derivative of -1/15*k**5 + 0*k**4 + 0 + 0*k**3 - 5*k**2 + 0*k. Find j, given that l(j) = 0.
0
Suppose -3*f + 4*j = -j - 70, 0 = -4*f - j + 55. Let y(p) be the first derivative of -14/3*p**3 - f*p**2 - 18*p - 1/2*p**4 - 4. Determine m so that y(m) = 0.
-3, -1
Let b be (-1794)/30 + (-1)/5. Let v be 56/b*(-18)/21. Suppose 2/5*k + 2/5*k**2 - v = 0. Calculate k.
-2, 1
Factor 5/3*s**4 + 20/3*s - 45*s**2 +