). Factor t(n).
3*(n - 1)**3*(n + 18)
Let y(v) be the first derivative of 3/28*v**4 + 2/7*v**3 + 0*v - 9/35*v**5 - 5 + 0*v**2. Find u such that y(u) = 0.
-2/3, 0, 1
Factor 178*h - 178*h + 48*h**4 - 12*h**5 + 27*h**2 - 63*h**3.
-3*h**2*(h - 1)*(2*h - 3)**2
Let f(y) be the first derivative of 0*y**3 - 5/8*y**4 + 5/8*y**2 + 0*y**5 + 12 + 5/24*y**6 + 0*y. Determine t, given that f(t) = 0.
-1, 0, 1
Let u(p) = -52*p**4 + 143*p**3 - 187*p**2 + 90*p - 8. Let j(r) = 35*r**4 - 95*r**3 + 125*r**2 - 60*r + 5. Let d(s) = 7*j(s) + 5*u(s). Let d(b) = 0. Calculate b.
1/3, 1
Find o such that 12/7*o**3 + 0 - 6/7*o**2 + 6/7*o**4 - 12/7*o = 0.
-2, -1, 0, 1
Let q(c) be the third derivative of c**5/140 + 3*c**4/56 - 2*c**3/7 + 8*c**2 - 6*c. Find j such that q(j) = 0.
-4, 1
Let h(l) be the second derivative of l**6/90 - 7*l**5/45 - 7*l**4/36 + 5*l**3/27 + 129*l. Factor h(r).
r*(r - 10)*(r + 1)*(3*r - 1)/9
Suppose m = 5*s + 152, -2*m - 290 = -4*m - 4*s. Let z = m - 727/5. Let 8/5*c + 6/5*c**2 - z = 0. Calculate c.
-2, 2/3
Let y(q) = -5*q**3 + 14*q**2 + 96*q - 105. Let h(s) = -s**3 + 3*s**2 + 19*s - 21. Let x(f) = -33*h(f) + 6*y(f). Determine n, given that x(n) = 0.
-3, 1, 7
Let h(l) be the first derivative of -2/11*l**2 + 17 - 2/33*l**3 + 6/11*l. Factor h(g).
-2*(g - 1)*(g + 3)/11
Suppose -6 = -5*k - 2*r + 6, 5*k - r = 9. Let t be (-10)/k + (-1122)/(-220). Suppose 0*m - 1/5*m**2 + 1/10*m**3 + 0 + t*m**4 = 0. Calculate m.
-2, 0, 1
Determine q so that -21*q - 299*q**5 + 5 + 24*q**2 + 2*q**3 - 6*q**4 + 302*q**5 + 1 - 8*q**3 = 0.
-2, 1
Let d = 22 + 20. Let z = -40 + d. Let -3*l**z + 15/4*l - 3/4 = 0. Calculate l.
1/4, 1
Factor 1/4*n**3 - 11/2*n**2 + 153/4*n - 81.
(n - 9)**2*(n - 4)/4
Let p = -638/63 - -92/9. Factor 4/21 - p*f - 2/21*f**2.
-2*(f - 1)*(f + 2)/21
Let t = -15293/7 + 2185. Find x, given that 1/7*x**3 - 1/7*x**5 - 2/7*x**4 + 0 + 0*x + t*x**2 = 0.
-2, -1, 0, 1
Let t(b) be the first derivative of 11 - 1/5*b**2 + 0*b + 1/10*b**4 - 1/25*b**5 + 1/15*b**3. Suppose t(q) = 0. What is q?
-1, 0, 1, 2
Let 16*k - 28*k**2 + 2*k**3 - 4*k**3 - 4*k**4 + 22*k**3 - 4*k**2 = 0. What is k?
0, 1, 2
Suppose -5*s = -w + 13 + 10, 3*s = -12. Let k(z) = -3*z**3 + 9*z**2 - 9*z. Let b(l) = 6*l**3 - 19*l**2 + 19*l. Let v(h) = w*b(h) + 5*k(h). Factor v(x).
3*x*(x - 2)**2
Let u = 41/140 + -1/140. Let k(t) = t + 8. Let l be k(-8). Find n, given that -4/7*n + 6/7*n**2 - u*n**3 + l = 0.
0, 1, 2
Suppose 0 = -5*r + 6*r - 249. Let t = -246 + r. Factor 0 - 3/2*c**4 + 0*c**t + 0*c**2 + 3/2*c**5 + 0*c.
3*c**4*(c - 1)/2
Let g = 2202/11 - 19796/99. Suppose -g*h**5 - 2/9*h**3 - 4/9*h**4 + 0*h + 0*h**2 + 0 = 0. Calculate h.
-1, 0
Let w(h) = -h**4 - h**3 + h**2 + h. Let v(p) = -8*p**4 - 4*p**3 + 6*p**2 + 4*p + 2. Let c = 18 + -39. Let n(j) = c*w(j) + 3*v(j). Factor n(s).
-3*(s - 2)*(s - 1)**2*(s + 1)
Let m(j) be the second derivative of -j**7/5040 + j**6/1440 + 11*j**4/12 + 11*j. Let q(f) be the third derivative of m(f). Factor q(w).
-w*(w - 1)/2
Let t(j) be the second derivative of -j**6/60 - j**5/8 - 3*j**4/8 - 7*j**3/12 - j**2/2 + 886*j. Factor t(c).
-(c + 1)**3*(c + 2)/2
Suppose -5*r = 25, 6*h + 4*r = 4*h - 16. Let l(y) be the first derivative of 0*y + 0*y**h + 6 - 2/15*y**3. Factor l(p).
-2*p**2/5
Let d(k) be the third derivative of -1/40*k**6 + 1/8*k**4 + 0*k**3 + 23*k**2 + 0 + 0*k + 0*k**5. Find l such that d(l) = 0.
-1, 0, 1
Let v(a) be the second derivative of a**7/4200 + a**6/1800 - a**5/300 + 5*a**3/6 - 6*a. Let d(o) be the second derivative of v(o). Factor d(i).
i*(i - 1)*(i + 2)/5
Let x(k) be the third derivative of k**7/840 - 7*k**6/480 - k**5/240 + 7*k**4/96 - 14*k**2 - 2. Determine t so that x(t) = 0.
-1, 0, 1, 7
Let x be 10/15 - (-12)/9. Solve 5*a**2 - 3*a**2 - 15*a - 3*a**2 + 20 - 4*a**x = 0 for a.
-4, 1
Let k(s) be the first derivative of -2*s**3/27 + 8*s**2/9 + 40*s/9 + 26. Factor k(h).
-2*(h - 10)*(h + 2)/9
Let o(i) be the first derivative of i**3/3 + 8*i**2 + 18*i - 42. Let l be o(-15). Determine j so that j**l - 1/3*j**4 + 0 + 1/3*j - j**2 = 0.
0, 1
Let n = 7096 + -7094. Suppose -24/11*c**3 + 18/11*c + 0 + 12/11*c**n + 6/11*c**5 - 12/11*c**4 = 0. Calculate c.
-1, 0, 1, 3
Let z be ((2 - -4) + -4)*(3 + (-100)/35). Factor -z*i**2 + 2/7*i + 2/7*i**4 + 0 - 2/7*i**3.
2*i*(i - 1)**2*(i + 1)/7
Factor 3*j**2 + 47 + 2*j**2 - 42 + j + 9*j.
5*(j + 1)**2
Let s(a) be the second derivative of -a**4/30 - 11*a**3/15 - 2*a**2 + 59*a. Solve s(z) = 0 for z.
-10, -1
Let k be -5 + ((-12167)/(-2300) - (-1)/(-4)). Let i(d) be the first derivative of 6 - 1/10*d**4 + 0*d - k*d**5 + 0*d**2 - 1/15*d**3. Factor i(h).
-h**2*(h + 1)**2/5
Let u be 5 + 8/10 + (-462)/90. Let g(c) be the third derivative of 1/20*c**6 + 0*c - 4/15*c**5 + 1/4*c**4 + 0 + c**2 + u*c**3. Determine k so that g(k) = 0.
-1/3, 1, 2
Let q(t) be the second derivative of 0 + 1/150*t**6 - 4/15*t**3 - 1/20*t**4 + 1/50*t**5 - 2/5*t**2 + 18*t. What is z in q(z) = 0?
-2, -1, 2
Let s be 0/(-1*3/3). Let d = s - -3. Let -1/2 + 1/2*m**2 - 5/4*m + 5/4*m**d = 0. Calculate m.
-1, -2/5, 1
Find q such that 12*q**3 - 58*q**3 + 4*q**5 - 20*q**2 + 10*q**3 + 4*q**4 + 48 + 64*q = 0.
-3, -1, 2
Factor 432*a**3 - 108*a**2 + 115*a**5 + 47*a**5 + 28*a + 4*a - 84*a**2 - 432*a**4.
2*a*(3*a - 2)**4
Suppose g = -c + 1, g - 9 = 3*c - 0. Let h(j) be the third derivative of -1/12*j**g + 0 - 3*j**2 + 0*j - 1/240*j**6 + 1/48*j**4 + 1/120*j**5. Factor h(m).
-(m - 1)**2*(m + 1)/2
Let t(o) be the second derivative of 5/24*o**4 + 0*o**3 + 3/16*o**5 + 0 + 0*o**2 - 9*o + 1/24*o**6. Factor t(f).
5*f**2*(f + 1)*(f + 2)/4
Let p(o) be the second derivative of -2/75*o**6 - 1/105*o**7 + 1/15*o**4 + 0*o**2 + 1/15*o**3 + 0 + 0*o**5 - 5*o. Factor p(q).
-2*q*(q - 1)*(q + 1)**3/5
Let f(w) be the first derivative of w**7/1470 + w**6/90 + w**5/14 + 3*w**4/14 + w**3 - 6. Let c(g) be the third derivative of f(g). Find t such that c(t) = 0.
-3, -1
Let g(o) be the first derivative of o**5/110 - 2*o**4/33 - 10*o - 9. Let c(h) be the first derivative of g(h). Let c(s) = 0. Calculate s.
0, 4
Let v(m) be the first derivative of 2*m**3/9 + 74*m**2/3 + 146*m/3 + 255. Factor v(g).
2*(g + 1)*(g + 73)/3
Let j = -343/6 + 173/3. Factor j*a - 1/2 + a**2 + 1/2*a**5 - a**3 - 1/2*a**4.
(a - 1)**3*(a + 1)**2/2
Let x be 1 - (0 - (361/180 + -3)). Let l(p) be the second derivative of x*p**6 + 0 + 1/6*p**4 - 6*p + 0*p**2 + 2/9*p**3 + 1/20*p**5. Factor l(m).
m*(m + 2)**3/6
Let a(q) be the second derivative of -5/6*q**3 + 0*q**2 + 1/6*q**6 + 1/4*q**5 - 5/12*q**4 + 2*q + 0. Factor a(u).
5*u*(u - 1)*(u + 1)**2
Let j be (-266)/2926 - (0 - 37/165). Factor 2/15*i**2 - 2/15*i**4 - j*i + 2/15*i**3 + 0.
-2*i*(i - 1)**2*(i + 1)/15
Suppose 4*m - 15 = -m. Suppose -m*s + 25 = 2*s. Suppose 0*o + 7*o + 7*o**2 - 3*o - 2*o + s*o**3 = 0. Calculate o.
-1, -2/5, 0
Let y = -32 - -129/4. Suppose 4*z = 3*q - z - 11, 4*q - 11 = 3*z. Factor -y*v - 1/4*v**q + 1/2.
-(v - 1)*(v + 2)/4
Let n(t) = -t**3 - t**2 - 2*t + 1. Let c(d) = 15*d**3 - 10*d**2 - 20*d - 60. Let b(s) = c(s) + 20*n(s). What is h in b(h) = 0?
-2
Let h(p) be the second derivative of p**6/6 - p**5 - 20*p**4 - 280*p**3/3 - 200*p**2 - 7*p - 1. Let h(f) = 0. Calculate f.
-2, 10
Let f(z) be the first derivative of -z**6/3 - 2*z**5 - z**4 + 28*z**3/3 + 3*z**2 - 18*z + 145. What is l in f(l) = 0?
-3, -1, 1
Let f(q) be the third derivative of -q**6/120 + 3*q**5/20 + 5*q**4/12 - 19*q**2. Let s be f(10). Factor 0*t - 2*t**4 + 2/3*t**5 - 2/3*t**2 + 2*t**3 + s.
2*t**2*(t - 1)**3/3
Let x(t) = t**3 - 8*t**2 + 10*t + 10. Let q be x(6). Let k = 6 + q. Suppose 0*a**3 + 0*a - 2/13*a**2 + 2/13*a**k + 0 = 0. What is a?
-1, 0, 1
Let r(l) be the third derivative of 5*l**8/84 - 5*l**7/42 - 11*l**6/12 - l**5/3 + 15*l**4/4 + 15*l**3/2 - 177*l**2. Let r(q) = 0. Calculate q.
-1, -3/4, 1, 3
Let c(f) be the first derivative of -f**7/42 + f**5/10 - f**3/6 + 16*f - 4. Let z(t) be the first derivative of c(t). Find k, given that z(k) = 0.
-1, 0, 1
Let x = -18667/20 + 3791/4. Factor -10*t**2 - x - 168/5*t - 4/5*t**3.
-2*(t + 6)**2*(2*t + 1)/5
Let k(o) be the third derivative of o**7/1400 + o**6/150 - o**5/40 - 3*o**3/2 - 9*o**2. Let f(l) be the first derivative of k(l). Let f(q) = 0. Calculate q.
-5, 0, 1
Let a = 149 + -152. Let o be (-92)/(-12) + (-3 - (a - -3)). Suppose 4/3*j - o*j**2 + 8/3*j**3 + 2/3 = 0. 