1*v**4/12 - 35*v**2. Let d(z) be the second derivative of m(z). Factor d(n).
2*(5*n - 2)*(11*n + 2)
Let x be 24/60 + 4674/(-10). Let c = x - -3275/7. Suppose 2/7 - 10/7*q**2 + 8/7*q**4 - 6/7*q + c*q**3 = 0. What is q?
-1, 1/4, 1
Let j(q) be the third derivative of 29/480*q**6 + 0*q**3 + 1/10*q**5 + 0*q + 3/280*q**7 + 24*q**2 + 1/24*q**4 + 0. Factor j(d).
d*(d + 1)*(d + 2)*(9*d + 2)/4
Let b(n) be the third derivative of -n**6/180 + n**5/2 - 75*n**4/4 - 5*n**3/3 - 26*n**2 + 2*n. Let r(d) be the first derivative of b(d). Factor r(m).
-2*(m - 15)**2
Let k be (-2)/(-3)*(30 + -9) + -2. Factor k*p**2 - 3 + 10*p**2 - 27*p**2 + 8*p**2.
3*(p - 1)*(p + 1)
Let z(u) be the first derivative of -2*u**5/45 - 7*u**4/18 + 2*u**3/9 + 55*u**2/9 - 100*u/9 + 311. Determine w so that z(w) = 0.
-5, 1, 2
Let c(m) be the first derivative of -12*m - 361*m**3 - 28 + 108*m**6 + 675/2*m**4 + 102*m**2 + 2268/5*m**5. Factor c(z).
3*(z + 2)**2*(6*z - 1)**3
Let w(k) be the third derivative of 0*k + 4/3*k**3 + 0 + 22*k**2 + 13/30*k**5 + 1/105*k**7 + k**4 + 1/10*k**6. Determine z so that w(z) = 0.
-2, -1
Let -45*j**2 + 0*j**4 + 36*j + 61*j**2 + 9 + 9 - 2*j**4 - 4*j**3 = 0. Calculate j.
-3, -1, 3
Suppose q - 14 = -t - 5, 3*q + 4*t - 31 = 0. Let k(c) be the third derivative of c**2 + 0 + 2/225*c**q + 1/45*c**4 + 1/45*c**3 + 0*c. Factor k(y).
2*(2*y + 1)**2/15
Let v(x) = -13*x**3 + 57*x**2 - 10*x - 5. Let d(o) = -15*o**3 + 57*o**2 - 12*o - 6. Let u(y) = -5*d(y) + 6*v(y). Factor u(n).
-3*n**2*(n - 19)
Let o(v) be the second derivative of -3*v**5/20 - 6*v**4 - 96*v**3 - 768*v**2 + v + 125. Determine n, given that o(n) = 0.
-8
Let h(z) be the first derivative of z**4/5 + 124*z**3/15 + 56*z**2/5 - 48*z - 651. Solve h(l) = 0 for l.
-30, -2, 1
Factor 112*q - 4704 - 2/3*q**2.
-2*(q - 84)**2/3
Let k(x) = x**2 + x + 1. Let f(u) = -5*u**3 - 44*u**2 - 134*u - 134. Let j(r) = -f(r) + k(r). Solve j(q) = 0.
-3
Let k(q) be the second derivative of q**4/6 - 4*q**2 - 2*q - 46. Factor k(d).
2*(d - 2)*(d + 2)
Let r(d) = 2*d**4 - 18*d**3 + 6*d**2 + 47*d + 3. Let b(v) = 5*v**4 - 37*v**3 + 13*v**2 + 94*v - 3. Let z(m) = -6*b(m) + 14*r(m). Suppose z(l) = 0. Calculate l.
-15, -1, 2
Let p(b) = -b**3 - 6*b**2 - 6*b - 2. Let h be p(-5). Let f be (2/(-3))/(154/(-33) + h). What is v in -8/5*v + f*v**2 + 8/5 = 0?
2
Let u = -37/142 + 611/710. What is z in -3/5*z**2 + 7/5*z**3 - 3/5*z**4 - u*z + 2/5 = 0?
-2/3, 1
Let a be (0 - -2)/4 - 27/4. Let t = -71/12 - a. Factor 0*v - t*v**4 + 0*v**2 + 1/3*v**3 + 0.
-v**3*(v - 1)/3
Let k(i) be the second derivative of -i**8/3360 + i**7/630 - i**6/360 - 3*i**4/4 - 17*i. Let w(c) be the third derivative of k(c). Factor w(g).
-2*g*(g - 1)**2
Let m(d) be the first derivative of d**5 - 55*d**4/4 + 50*d**3/3 - 545. Suppose m(s) = 0. What is s?
0, 1, 10
Let y(f) be the first derivative of 2*f**3/21 - 16*f**2/7 - 34*f/7 - 261. Factor y(v).
2*(v - 17)*(v + 1)/7
Let v(w) = 4*w**4 + 3*w**3 - 3*w**2 + w - 3. Let o(l) = 74*l - l**3 - l**4 + 0*l**3 + 1 - 75*l. Let b(a) = 3*o(a) + v(a). Factor b(s).
s*(s - 2)*(s + 1)**2
Solve -1 + 43/2*o**2 + 41/2*o = 0 for o.
-1, 2/43
Let p(h) be the third derivative of -h**5/30 - 11*h**4/12 + 26*h**3/3 + 53*h**2 - 7*h. Solve p(x) = 0 for x.
-13, 2
Determine v, given that -4/5*v**2 + 24/5*v**3 - 2/5*v**5 + 12/5 - 8/5*v**4 - 22/5*v = 0.
-6, -1, 1
Factor 75*l**3 - 26*l**3 + 240 + 80*l**2 - 14*l - 26*l**3 - 246*l - 28*l**3.
-5*(l - 12)*(l - 2)**2
Let f be (-8)/126*(-18)/4*(9 - 8). Suppose 0 - f*j**2 - 2/7*j = 0. Calculate j.
-1, 0
Find r such that 43/6*r**2 + 1/6 + 73/6*r**3 + 11/6*r + 28/3*r**4 + 8/3*r**5 = 0.
-1, -1/4
Let z be ((-10)/30*0)/3. Let h(s) be the first derivative of z*s + 6 - 1/8*s**2 - 1/12*s**3. Factor h(b).
-b*(b + 1)/4
Suppose -z = -a + 17, 0*a + 5*a - 13 = -z. Let u(p) = 3*p**3 + 48*p**2 + 3*p - 102. Let f(b) = b**3 + 19*b**2 + b - 41. Let k(m) = z*f(m) + 5*u(m). Factor k(c).
3*(c - 1)*(c + 2)*(c + 3)
Let b(w) = -14*w**3 + 66*w**2 - 6*w - 6. Let v(m) = -11*m**3 + 67*m**2 - 5*m - 5. Let a(n) = -5*b(n) + 6*v(n). Find c, given that a(c) = 0.
-18, 0
Let r(v) be the first derivative of -v**6/1980 - v**5/660 + 3*v**3 - 12. Let d(u) be the third derivative of r(u). Determine t, given that d(t) = 0.
-1, 0
Let p(f) be the third derivative of -f**8/1008 + f**6/360 - 63*f**2. Solve p(l) = 0 for l.
-1, 0, 1
Let x(w) be the third derivative of 8*w**7/35 - 157*w**6/210 - 46*w**5/105 + 26*w**4/21 - 16*w**3/21 - 353*w**2. What is t in x(t) = 0?
-2/3, 1/4, 2/7, 2
Suppose -9 = 9*i - 36. Solve -8 + 30*q**3 + 36*q**4 - 8*q**3 + 29*q**3 - 44*q - 28*q**2 - 7*q**i = 0.
-1, -2/9, 1
Let t(l) be the first derivative of 7 - 4*l + 2/3*l**3 - l**2. Let t(w) = 0. Calculate w.
-1, 2
Let b = 3119/260 - 154/13. Let o(r) be the third derivative of -1/48*r**4 - b*r**6 + 0 + 1/10*r**5 + 0*r + 0*r**3 + 3*r**2. Suppose o(u) = 0. What is u?
0, 1/6
Let z(t) be the third derivative of -t**8/224 - 8*t**7/315 - t**6/90 - 7*t**4/12 - 2*t**2. Let u(k) be the second derivative of z(k). Solve u(r) = 0 for r.
-2, -2/15, 0
Let i(a) be the second derivative of a**8/420 - 2*a**7/105 + a**6/18 - a**5/15 - 5*a**3/6 + 7*a. Let l(z) be the second derivative of i(z). Factor l(p).
4*p*(p - 2)*(p - 1)**2
Let l be (98/(-60) + 196/84)*24/14. Find f, given that -23/5*f + l + 7/5*f**2 = 0.
2/7, 3
Let p(v) be the second derivative of -v**8/420 + v**7/210 + 2*v**3/3 - 17*v. Let i(u) be the second derivative of p(u). Suppose i(q) = 0. What is q?
0, 1
Let h(w) = -4*w**5 + 7*w**4 - 9*w**3 + 3*w**2 - 2*w - 5. Let p(k) = 5*k**5 - 8*k**4 + 10*k**3 - 4*k**2 + 3*k + 6. Let x(s) = 6*h(s) + 5*p(s). Factor x(y).
y*(y - 1)**2*(y + 1)*(y + 3)
Let 10*u**4 - 3/2*u**5 - 13*u**3 + 5/2*u + 0 + 2*u**2 = 0. What is u?
-1/3, 0, 1, 5
Suppose 0 = 13*v - 4*v - 9. Let n be (13/286)/(v/4). What is o in 4/11*o**2 + 6/11*o**3 + 0 + 0*o + n*o**4 = 0?
-2, -1, 0
Let h(j) = 8*j**2 - 78*j. Let i(p) = 21*p**2 - 235*p. Let x(k) = 8*h(k) - 3*i(k). Determine f so that x(f) = 0.
-81, 0
Let m be (-1 - 0)/((-1)/3). Factor 2*i**m - 22*i**3 + i**5 - 16*i**4 - 5*i**5 - 8*i**2.
-4*i**2*(i + 1)**2*(i + 2)
Let r(p) be the second derivative of -p**5/4 + 25*p**4/12 + 35*p**3/3 - 132*p - 2. Factor r(v).
-5*v*(v - 7)*(v + 2)
Let y = -19 - -22. Suppose -y*u - 4 = -4*u. Factor -5/2*k**2 - u*k - 2 - 1/2*k**3.
-(k + 1)*(k + 2)**2/2
Suppose -10291*b**5 - 48*b + 10279*b**5 - 4*b**3 + 40*b**2 - 32 + 64*b**3 - 8*b**4 = 0. What is b?
-2, -1, -2/3, 1, 2
Suppose 0 = -7*k + 3*k - 24. Let x = k - -8. Find a such that a**4 + 0*a + 2*a**3 + 2*a**x - 4*a**4 - 2*a + a**4 = 0.
-1, 0, 1
Let t(u) be the first derivative of 22/3*u**3 - 9 - 1/2*u**4 + 0*u - 10*u**2. Let t(a) = 0. Calculate a.
0, 1, 10
Let q = -2/7409 - 6594004/22227. Let x = q + 298. Solve 2/3*g**5 + 0*g**4 - x*g**3 + 0*g**2 + 0 + 2/3*g = 0 for g.
-1, 0, 1
Let p(n) be the third derivative of n**8/2240 - 3*n**7/280 - 5*n**4/24 - 17*n**2. Let w(c) be the second derivative of p(c). Factor w(t).
3*t**2*(t - 9)
Let n(z) be the third derivative of 0*z + 0 + 1/330*z**5 - 1/44*z**4 + 2/33*z**3 + 18*z**2. Factor n(u).
2*(u - 2)*(u - 1)/11
Let m(r) be the first derivative of r**2/2 + 8*r - 4. Let b be m(-6). Factor -x - 4*x**b - 19 + 3*x**2 + 21.
-(x - 1)*(x + 2)
Let q = 4711 - 4706. Factor -4/3*m**q - 4/3*m**2 - 4*m**4 + 0*m - 4*m**3 + 0.
-4*m**2*(m + 1)**3/3
Let v(h) = -h**4 + 19*h**3 + 28*h**2 + 8*h. Let o(j) = j**4 - j**3 - j**2 + j. Let r(n) = 4*o(n) + v(n). Solve r(q) = 0.
-2, -1, 0
Let j(f) = f**2 - 2*f - 12. Let c be j(5). Let w(p) be the first derivative of 0*p**2 + 2 + 2*p - 2/3*p**c. Suppose w(z) = 0. What is z?
-1, 1
Let b(d) = 4*d**3 + 4*d**2 - 6*d + 15. Let a(g) = 11*g**3 + 11*g**2 - 18*g + 40. Let q(t) = -3*a(t) + 8*b(t). Factor q(f).
-f*(f - 2)*(f + 3)
Solve 125*z**3 + 113*z**3 + 6*z**2 + 12*z + 3*z**2 - 241*z**3 = 0.
-1, 0, 4
Let f = 597 + -594. Let n(p) be the first derivative of 1/2*p**f + 3/4*p**2 + 8 + 0*p. Determine o so that n(o) = 0.
-1, 0
Suppose 280*g + 24 = 283*g - 5*f, -4*g = -3*f - 21. Factor 0 - 1/3*w**4 + 0*w + 0*w**2 + 1/3*w**g.
-w**3*(w - 1)/3
Let o(q) = q + 1 - q**2 - 3*q**3 - 3*q**3 + 0*q**3. Let n be o(-1). Determine i so that 4*i**2 - 3*i**2 - 8*i + n + 11 = 0.
4
Let v(r) be the third derivative of -r**6/30 - 4*r**5/15 - 5*r**4/6 - 4*r**3/3 + 129*r**2. Factor v(t).
-4*(t + 1)