s + 2)**2
Find n such that 0 + 151*n**2 + 5/2*n**3 + 60*n = 0.
-60, -2/5, 0
Let m(r) be the second derivative of -r**4/42 - 97*r**3/21 + 12*r - 2. Find u such that m(u) = 0.
-97, 0
Factor -80*a + 0*a**5 - 300*a**3 + 240*a**3 + 0*a**5 + 5*a**5 - 3*a**4 + 140*a**2 - 2*a**4.
5*a*(a - 2)**2*(a - 1)*(a + 4)
Let k = -3/6148 - -12323/55332. Factor k*u + 0 - 2/9*u**2.
-2*u*(u - 1)/9
Let d(f) be the second derivative of f**7/42 + f**6/6 + f**5/3 + 10*f**2 - 6*f. Let v(a) be the first derivative of d(a). Factor v(u).
5*u**2*(u + 2)**2
Let r(g) be the third derivative of -g**8/336 + g**7/30 - g**6/8 + 13*g**5/60 - g**4/6 - 23*g**2 + 3*g. Suppose r(o) = 0. Calculate o.
0, 1, 4
Factor 15/4 + 21/2*w + 3*w**3 - 69/4*w**2.
3*(w - 5)*(w - 1)*(4*w + 1)/4
Let f(k) = 19*k**2 + 112*k - 3731. Let j(t) = 2*t**2 - t - 1. Let h(l) = 3*f(l) - 30*j(l). Factor h(r).
-3*(r - 61)**2
Let a be (-2)/12 + (-78)/(-36). Let g be 4/a*(0 - -2). Determine d, given that -4/5 + 14/5*d**5 + 68/5*d**3 - 2/5*d + 32/5*d**2 + 52/5*d**g = 0.
-1, 2/7
Let v(d) be the third derivative of d**8/560 + d**7/35 + 9*d**6/50 + 27*d**5/50 + 27*d**4/40 - 214*d**2. Find q such that v(q) = 0.
-3, -1, 0
Let c(i) be the third derivative of 9/200*i**6 + 0*i**4 + 0*i**3 + 0*i - 3/175*i**7 - 25*i**2 + 0 + 1/560*i**8 - 1/25*i**5. Find f, given that c(f) = 0.
0, 1, 4
Let y be 69/115*(-8)/(-12)*1. Solve 0*l + 2/5*l**5 + 2/5*l**4 + 0 - y*l**2 - 2/5*l**3 = 0.
-1, 0, 1
Let x(d) = -2*d**4 - d**3 + d. Let t(n) = 7*n**4 + 8*n**3 + 3*n**2 - 8*n. Let u(m) = -t(m) - 5*x(m). Factor u(a).
3*a*(a - 1)**2*(a + 1)
Let u = 350 - 350. Let r(t) be the second derivative of -6/5*t**6 + 0*t**3 + 27/20*t**5 + 5/14*t**7 + u + 2*t - 1/2*t**4 + 0*t**2. Factor r(n).
3*n**2*(n - 1)**2*(5*n - 2)
Let u(b) be the second derivative of 8/3*b**3 + 0*b**2 + 0*b**4 - b + 2/5*b**6 + 0 - 7/5*b**5. Factor u(h).
4*h*(h - 2)*(h - 1)*(3*h + 2)
Let s = -246498 + 18979864/77. Let y = s + 72/11. Factor 2/7*m + 4/7 - y*m**2.
-2*(m - 2)*(m + 1)/7
Let -3/2*l**2 + 0 - 9*l = 0. Calculate l.
-6, 0
Factor 56*k**2 + 4*k - 32 + 53*k**2 - 32 - 107*k**2 - 32*k.
2*(k - 16)*(k + 2)
Suppose -24 + 29 = g. Factor 4*l**g - 333*l**3 + 4 + 8*l**2 + 341*l**3 + 0*l**5 - 12*l - 12*l**4.
4*(l - 1)**4*(l + 1)
Let v(w) be the third derivative of 1/195*w**6 + 0*w**3 + 0*w - 1/130*w**5 + 0 - 36*w**2 + 1/1365*w**7 - 3/26*w**4. Factor v(h).
2*h*(h - 2)*(h + 3)**2/13
Let j(i) be the third derivative of -11*i**6/120 - i**5/6 + 11*i**4/24 + 5*i**3/3 - 381*i**2 - 2*i. Factor j(r).
-(r - 1)*(r + 1)*(11*r + 10)
Let w = 3158/3 - 1052. Solve -2/3*c**2 + 0 + w*c = 0 for c.
0, 1
Solve 150/17*q - 152/17 + 2/17*q**2 = 0.
-76, 1
Let n(m) be the third derivative of -m**7/1050 - m**6/120 - 7*m**5/300 - m**4/40 - 138*m**2 + 3*m. Solve n(x) = 0 for x.
-3, -1, 0
Let c(w) be the first derivative of w**5/15 + w**4/6 - w**3/3 - 76. What is r in c(r) = 0?
-3, 0, 1
Suppose -198 = -5*v + 232. Factor -44*l**2 + 12*l**4 + 4*l**3 + 169*l**5 - 87*l**5 + 48*l - 16 - v*l**5.
-4*(l - 2)*(l - 1)**3*(l + 2)
Let 4/3*d**2 + 0 + 2/3*d**3 - 2*d = 0. What is d?
-3, 0, 1
Let i(g) = -2*g**3 + 2*g. Let n(x) = -x**3 + 7*x**2 + 16*x + 8. Let a(y) = -i(y) + n(y). Factor a(p).
(p + 1)*(p + 2)*(p + 4)
Let o(x) be the first derivative of -2*x**5/5 + 13*x**4 - 48*x**3 - 2592*x**2 + 34560*x + 483. Factor o(n).
-2*(n - 12)**3*(n + 10)
Let g(w) be the second derivative of -1/4*w**4 - 8*w + 7/20*w**5 + 0 - 1/2*w**3 - 3/2*w**2 - 1/10*w**6. Let l(z) be the first derivative of g(z). Factor l(h).
-3*(h - 1)**2*(4*h + 1)
Let w(s) be the third derivative of 0 + 0*s**3 - 5/8*s**4 + 0*s - 25*s**2 + 1/350*s**7 + 9/200*s**6 + 3/20*s**5. Factor w(y).
3*y*(y - 1)*(y + 5)**2/5
Let h(i) be the first derivative of -6*i**2 + 21/8*i**4 + 3/2*i**5 - 1/2*i**3 - 6*i + 20 + 1/4*i**6. Solve h(g) = 0 for g.
-2, -1, 1
Factor 108 - 2*j**3 - j + 4*j**3 - 67*j**2 - 2*j**3 - 41 + j**3.
(j - 67)*(j - 1)*(j + 1)
Let r(t) be the second derivative of 5/6*t**4 - 1/4*t**5 - 7 + t + 0*t**2 + 5/2*t**3. What is c in r(c) = 0?
-1, 0, 3
Let v(j) be the first derivative of 3*j**5/4 - 5*j**4/12 - 5*j**3/3 - 21*j - 15. Let x(l) be the first derivative of v(l). Find n, given that x(n) = 0.
-2/3, 0, 1
Let c(f) = -11*f - 5. Suppose 3*u + 3 = -6. Let v be c(u). Let -v + 6*g + 31 + 4*g**2 - g**2 = 0. Calculate g.
-1
Find v, given that -10/3 - 16/3*v**3 - 32/3*v - 2/3*v**4 - 12*v**2 = 0.
-5, -1
Let y be (-237)/(-9) + -1 + (-1)/3. Let a be 10/y + (16/10 - 0). Solve -4/3*w**a - 2/3*w**5 + 0*w + 2*w**3 + 0 + 0*w**4 = 0.
-2, 0, 1
Let k(a) be the second derivative of 0*a**2 + 23*a + 1/4*a**4 + 0*a**3 + 1/14*a**7 - 3/20*a**5 + 0 - 1/10*a**6. Solve k(m) = 0.
-1, 0, 1
Let l = -24767/18 + 1376. Let a(t) be the first derivative of 1/8*t**4 - 10 + 1/30*t**5 - 1/36*t**6 - l*t**3 - 1/6*t**2 + 0*t. Suppose a(j) = 0. What is j?
-1, 0, 1, 2
Let 6/5*m**3 - 14/5*m + 6/5 - 14/5*m**2 = 0. What is m?
-1, 1/3, 3
Let d(i) be the second derivative of i**5/50 - 4*i**4/15 - 4*i**3/3 - 4*i + 44. Find q such that d(q) = 0.
-2, 0, 10
Let f(k) = -2*k**3 + 21*k**2 - 50*k + 9. Let i be f(7). Find d, given that i - 4/3*d - 2/3*d**2 = 0.
-3, 1
Let k(h) = 3*h + 2. Let p be k(-2). Let j be p/(-18) + (-160)/(-90). Factor 2*i**2 + 2*i**5 + i + i**2 + i**j + 4*i**4 + 6*i**3 - i**5.
i*(i + 1)**4
Let y(s) be the second derivative of 0*s**2 + 0 + 1/14*s**7 - 18*s - 17/50*s**6 - 11/20*s**4 + 1/5*s**3 + 63/100*s**5. What is t in y(t) = 0?
0, 2/5, 1
Let v = -1 - -4. Let m be ((-183)/244)/(0 + -1). Factor 0 + m*q - 3/4*q**v + 0*q**2.
-3*q*(q - 1)*(q + 1)/4
Let s be 4/10*-2*(-10)/48. Find k such that 0 + s*k - 1/6*k**2 = 0.
0, 1
Suppose 2*j = -2*j + 12. Suppose 0 = -2*z + 22 - 14. Determine o, given that -24*o + 206/3*o**2 + 8/3 - 66*o**j + 56/3*o**z = 0.
1/4, 2/7, 1, 2
Let b(x) = x**3 - 10*x**2 + 3. Let k be b(10). Let z be (-2)/(-3) - (-4)/k. Factor 6*j**2 + 3*j**3 - z*j**2 - 7*j**2.
3*j**2*(j - 1)
Factor 0*m**2 + 0*m - 2/5*m**3 + 0.
-2*m**3/5
Let g = 2134 + -14936/7. Factor g*z**2 - 6/7*z + 4/7.
2*(z - 2)*(z - 1)/7
Let u(y) = y**2 - 23*y + 3. Let r be u(23). Factor 5 - 11 + 156*h - 49*h**2 + 4*h**r - 30.
(h - 6)**2*(4*h - 1)
Factor 625 - 314 - 311 + 10*n**2 + 2*n**3.
2*n**2*(n + 5)
Let u = -17 + 21. Factor 50*m**2 - 25 + 35*m**u - 20*m**5 - 100*m**3 + 20 + 40*m**4.
-5*(m - 1)**4*(4*m + 1)
Suppose 0 = 3*z - 8*z + t + 41, 2*z + t - 22 = 0. Let w(v) = -v**2 + 8*v + 14. Let x be w(z). Factor -5*n**3 - 2*n**3 - 2*n**x - 3*n**4 + 5*n**3 - n**4.
-2*n**3*(n + 1)**2
Suppose 5*t**2 + 1475 + 264*t - 5831 - 9*t**2 = 0. What is t?
33
Let k be 7/(-2)*(1326/(-119) - -11). What is x in 0*x + k*x**2 - 1/2 = 0?
-1, 1
Let w be (120/(-250))/(((-6)/(-20))/(11/(-22))). Determine h, given that -w - 2*h - 2/5*h**3 - 8/5*h**2 = 0.
-2, -1
Let u be -4 - 2*3/(-2). Let t be u*(-1)/1 + -1. Suppose 2*v**5 + t*v**4 + 2*v**5 - v**3 - 3*v**5 - v**2 + v**4 = 0. What is v?
-1, 0, 1
Let h be ((-42)/8*-1)/(14/56). Suppose 9 - h = -4*w. Solve 0*l + 0 - 1/2*l**2 + 1/4*l**w = 0 for l.
0, 2
Let t(h) be the third derivative of -2*h**7/105 - h**6/30 + 8*h**5/15 + 2*h**4 - 9*h**2 - h. Factor t(u).
-4*u*(u - 3)*(u + 2)**2
Let k(n) be the first derivative of n**6/135 + n**5/18 + 4*n**4/27 + 4*n**3/27 - 46*n - 17. Let y(g) be the first derivative of k(g). Solve y(a) = 0.
-2, -1, 0
Let z = -2611/3 + 875. Determine x, given that -4/3*x**4 + 0 + z*x**3 - 14/3*x**2 + 4/3*x = 0.
0, 1/2, 1, 2
Let t be (114/(-60) + 6/4)*-5. Let b be 5*(3/(-3) - -2). Factor -t*z - 7*z**3 + b*z**3 + z**3 - z**2 + 4*z**3.
z*(z - 1)*(3*z + 2)
Factor 12*t + 9/2 - 3/2*t**4 + 0*t**3 + 9*t**2.
-3*(t - 3)*(t + 1)**3/2
Let b(m) = -12*m**2 + m + 16. Let n(v) = -9*v**2 - 4*v + 8. Let p(r) = -17*r**2 - 7*r + 16. Let d(j) = 7*n(j) - 4*p(j). Let i(s) = 2*b(s) + 5*d(s). Factor i(t).
(t - 2)*(t + 4)
Suppose -2*g - 1 = -k, -3*k = -2*k - 1. Let n(o) be the first derivative of 15*o**2 + g*o + 25*o**3 + 7 + 13*o - 4*o - 6*o. Factor n(j).
3*(5*j + 1)**2
Let v(m) = m - 3. Let j be v(8). Suppose -j*d + 4 = -3*d. Factor 0*s - 1/4 + 1/4*s**d.
(s - 1)*(s + 1)/4
Let r(p) be the second derivative of 32/3*p**2 - 4*p + 16/9*p**3 + 1/9*p**4 + 0. Let r(z) = 0. What is z?
-4
Let t(r) be the second derivative of -r**4/42 + r**3/21 + 6*r**2/7 - 11*r - 1. Factor t(p).
-2*(p - 3)*(p + 2)/7
Suppose 1 = 3*i + 2*f - 3*f, 0 = 3*f