such that m(l) = 0.
-8, -3
Let r be (28480/455)/8 - (-114)/247. Suppose r*g - 18/7*g**2 - 12/7 = 0. Calculate g.
2/9, 3
What is n in -21/2*n + 1/2*n**5 - 5*n**2 - 4*n**4 + 10*n**3 + 9 = 0?
-1, 1, 2, 3
Factor 9*h + 4*h**4 - 13*h - 4*h**2 + 3*h**3 + h**3.
4*h*(h - 1)*(h + 1)**2
Suppose -2*c = -4*n - 26, -4*c - 9 + 41 = -4*n. Let a(q) be the second derivative of 4*q**2 - 2/3*q**c + 1/24*q**4 + 2*q + 0. Find v, given that a(v) = 0.
4
Factor 0 + 8/7*c - 2/7*c**4 - 18/7*c**2 + 12/7*c**3.
-2*c*(c - 4)*(c - 1)**2/7
Let i = 70 + -66. Let w(t) be the third derivative of 1/96*t**i + 1/160*t**6 + 0*t + 3*t**2 - 1/48*t**5 + 1/24*t**3 + 0. Factor w(l).
(l - 1)**2*(3*l + 1)/4
Let z = 7982 - 7982. Factor -3*x + z - 15/2*x**2.
-3*x*(5*x + 2)/2
Let o(n) be the third derivative of 1/15*n**5 - 9*n**2 + 0 + 0*n - 1/120*n**6 + 0*n**4 + 0*n**3. Factor o(b).
-b**2*(b - 4)
Suppose 6 = -2*x + 4*x. Factor 2*q**3 - 10*q**x + 8*q**3 + 2*q + 3*q**2 - q**4.
-q*(q - 2)*(q + 1)**2
Let u(p) = -5*p**2 - 181*p + 86. Let d(i) = 15*i**2 + 542*i - 264. Let l(a) = 2*d(a) + 7*u(a). Factor l(g).
-(g + 37)*(5*g - 2)
Suppose -31*g - 30 = -34*g. Let q = 9 - 5. Solve g*x**2 + 7 - q*x + 2*x**3 + 1 + 18*x + 2*x = 0 for x.
-2, -1
Let p(h) be the first derivative of -h**4/22 + 2*h**3/33 + 206. Suppose p(t) = 0. What is t?
0, 1
Suppose -4*q - 3*t + 39 = 0, -3*q + 4 = t - 19. Solve 25*g - 3*g**2 + 15*g**2 + 2*g + q + 0*g = 0.
-2, -1/4
Let h(w) be the second derivative of -w**5/10 - 16*w**4/3 - 95*w**3 - 450*w**2 - 2*w - 172. Factor h(i).
-2*(i + 2)*(i + 15)**2
Let z(q) = -3*q**2 - 32*q + 51. Let s be z(-12). Let t(w) be the second derivative of w + 0 - 1/2*w**2 + 7/72*w**4 + 19/36*w**s. Find x such that t(x) = 0.
-3, 2/7
Determine j, given that -8*j**2 + 5252 - 10496 + 5268 + 94*j = 0.
-1/4, 12
Let b(g) be the first derivative of -2*g**3/3 + 20*g - 11. Let a(y) = y**2. Let o(p) = -3*a(p) + b(p). Solve o(s) = 0 for s.
-2, 2
Let g(t) be the third derivative of t**7/1050 + t**6/150 + t**5/60 + t**4/60 - 47*t**2 - t. Find f, given that g(f) = 0.
-2, -1, 0
Factor -2/7*t**3 + 0*t**2 + 0 + 2/7*t.
-2*t*(t - 1)*(t + 1)/7
Let j be 2/(12/9)*40/(-15). Let b be 3*4/(-18)*3/j. Solve -1/2*d**5 - 1/2*d - b*d**4 - 1/2 + d**2 + d**3 = 0.
-1, 1
Let -7/8*s + 1/8*s**2 - 1 = 0. What is s?
-1, 8
Let g(r) be the third derivative of -r**6/240 - r**5/6 + 43*r**4/48 - 11*r**3/6 + 187*r**2. Factor g(s).
-(s - 1)**2*(s + 22)/2
Let t = 527/768 + -5/256. Solve 8/3 - 2*k - t*k**2 = 0.
-4, 1
Solve -49*y**4 - 45*y**2 - 28*y + 0*y**4 + 44*y**4 - 26*y**3 - 4 = 0 for y.
-2, -1, -1/5
Let h be ((-49)/(-5))/(24/(-40)). Let t = 17 + h. Let t*r**3 - 4/3*r**2 + 0*r + 0 = 0. Calculate r.
0, 2
Let r(z) be the first derivative of 0*z + 0*z**3 - 1/240*z**6 + 0*z**5 + 1/48*z**4 + 5 + z**2. Let g(l) be the second derivative of r(l). Factor g(n).
-n*(n - 1)*(n + 1)/2
Let u = 241 + -149. Let r be 0 - (u/44 + -3). Suppose -6/11*s**4 + 4/11*s**3 + 0 - r*s**5 + 0*s + 0*s**2 = 0. What is s?
-1, 0, 2/5
What is p in 0 + 7/2*p**2 - 5/2*p**3 + 1/2*p**4 - 3/2*p = 0?
0, 1, 3
Suppose 3*d - 6 = -4*k, k = -4*k. Let h(w) be the third derivative of -1/2*w**4 - 4*w**2 - d*w**3 - 1/20*w**5 + 0*w + 0. Let h(g) = 0. Calculate g.
-2
Suppose -2*s - 72 = -4*s. Suppose -4 - s = -5*c. Suppose c*y**3 + 6*y**4 + 4*y**2 + y**5 + 5*y**4 - 3*y**4 - 3*y**4 = 0. Calculate y.
-2, -1, 0
Let x(n) be the first derivative of -9*n**4 - 4*n**3 + 16*n**2 + 16*n - 271. Solve x(o) = 0.
-2/3, 1
Let o(f) = -f**4 + f**2 + f. Let n be (-44)/20 + (-1)/(-5). Let i(u) = 2*u**4 - 4*u**2 + u. Let a(g) = n*o(g) - 2*i(g). Let a(d) = 0. Calculate d.
-2, 0, 1
Let -3/4*s**2 + 9 + 6*s - 3/4*s**3 = 0. Calculate s.
-2, 3
Let w(s) be the third derivative of 0*s**3 - 3/56*s**4 + 0*s + 1/140*s**5 + 3/280*s**6 + 0 - 1/490*s**7 + 8*s**2. Factor w(a).
-3*a*(a - 3)*(a - 1)*(a + 1)/7
Let l be (-1127)/(-276) - (-70)/(-21). Suppose -2*i - i + 6 = 0. What is r in -l*r**i + 0 - 3/8*r**3 + 3/4*r**4 + 3/8*r = 0?
-1, 0, 1/2, 1
Let u(d) be the first derivative of 20*d**6/9 + 196*d**5/15 + 23*d**4/3 - 412*d**3/9 + 2*d**2 + 24*d - 56. What is i in u(i) = 0?
-3, -2/5, 1/2, 1
Factor -12*r + 185*r**2 - 173*r**2 + 2*r**3 - 5*r**3.
-3*r*(r - 2)**2
Let l = -19/446 - -13543/234150. Let y(u) be the third derivative of 1/75*u**5 + 8*u**2 + 0*u + 0*u**3 - l*u**7 + 0 + 0*u**4 + 1/50*u**6. What is k in y(k) = 0?
-1/4, 0, 1
Let 0 + 0*a**4 - 2*a + 16/3*a**2 - 4*a**3 + 2/3*a**5 = 0. What is a?
-3, 0, 1
Suppose -14 + 168 + 166 + 5*r**3 + 21*r**2 - 19*r + 39*r**2 + 259*r = 0. What is r?
-4
Let l(y) be the first derivative of -5*y**6/57 + 28*y**5/95 - 3*y**4/38 - 28*y**3/57 + 8*y**2/19 - 504. Suppose l(n) = 0. What is n?
-1, 0, 4/5, 1, 2
Let b(n) be the first derivative of n**3/5 + 3*n**2/2 + 12*n/5 + 61. Factor b(r).
3*(r + 1)*(r + 4)/5
Let d(p) = -7*p**3 + 44*p**2 - 7*p - 30. Let k be d(6). Factor 0*n**2 + 0 + k*n + 0*n**3 + 2/5*n**5 + 2/5*n**4.
2*n**4*(n + 1)/5
Let l = 43 + -23. Suppose -x = 4*x - l. Let -1/2*h**5 + 1/2*h**3 + 1/2*h**2 + 0*h - 1/2*h**x + 0 = 0. Calculate h.
-1, 0, 1
Let a = 484 - 264. Let b be a/35 + (-4)/14. Factor -2*g**3 + 3*g**5 - b*g**3 + 5*g**3 - 3*g**4 + 3*g**2.
3*g**2*(g - 1)**2*(g + 1)
Let a be 4/6 - (6/(-15))/(6/62). Factor 268/5*y**2 + a*y**4 + 144/5 + 114/5*y**3 + 2/5*y**5 + 312/5*y.
2*(y + 2)**3*(y + 3)**2/5
Let x(k) be the first derivative of k**3/6 - 9*k**2/4 - 5*k - 203. Suppose x(u) = 0. What is u?
-1, 10
Suppose 9*u = 21 + 15. Let x be (-44)/(-24) + u/6. Factor -15/4*b**2 - x*b**3 + 5/4 + 0*b.
-5*(b + 1)**2*(2*b - 1)/4
Suppose -p + 19 = 5*y, 13 = 3*p + y - 2. Suppose p*l = -3*l. Factor j**3 + 0*j**4 - 1/2*j - 1/2*j**5 + 0 + l*j**2.
-j*(j - 1)**2*(j + 1)**2/2
Factor 57*o**3 + 5807*o + 26*o**3 - 164*o**3 - 4*o**4 - 111*o**3 - 2104*o**2 - 2500 - 1007*o.
-4*(o - 1)**2*(o + 25)**2
Let g be (-1 + (-34)/(-10))/(2/20). Suppose 45 - g = 7*c. Factor 3*y**2 + 12/5*y**c + 3/5*y + 0.
3*y*(y + 1)*(4*y + 1)/5
Let o(s) be the second derivative of -s**6/105 - s**5/35 + 3*s**4/14 + 6*s**3/7 - 4*s - 50. Factor o(y).
-2*y*(y - 3)*(y + 2)*(y + 3)/7
Suppose 46/7*x**2 + 0 + 0*x - 2/7*x**3 = 0. What is x?
0, 23
Let q(a) = a**2 - 5*a - 6. Let s be q(7). Let i = -6 + s. Find k such that -2*k + 0*k + k**i - k**2 + 4 - 2*k**2 = 0.
-2, 1
Let a = 12873/52 - 3189/13. Factor -3/4*x - 5/4*x**2 - 1/4*x**3 + a.
-(x - 1)*(x + 3)**2/4
Let o(s) be the first derivative of 45*s + 6 + 15*s**2 + 5/3*s**3. Factor o(l).
5*(l + 3)**2
Let r(c) be the third derivative of -c**8/67200 + c**7/4200 - c**6/600 + c**5/150 - 3*c**4/8 + 4*c**2. Let m(p) be the second derivative of r(p). Factor m(k).
-(k - 2)**3/10
Factor -34*i + 15*i**3 - 5*i**2 + 34*i + 0*i**2.
5*i**2*(3*i - 1)
Suppose -16/3*t**2 - 2/9*t**3 - 2/9*t**5 + 4/3*t**4 + 0 - 32/9*t = 0. Calculate t.
-1, 0, 4
Let i(y) = -y**5 + y**4 + 36*y**3 - 10*y**2 - 9*y - 4. Let t(n) = -2*n**3 + 1. Let c(v) = 2*i(v) + 26*t(v). What is o in c(o) = 0?
-3, -1, 1, 3
Let k(c) be the third derivative of c**6/630 + c**5/42 + 2*c**4/21 + c**3/3 - 2*c**2. Let d(y) be the first derivative of k(y). What is u in d(u) = 0?
-4, -1
Determine k so that -588/17*k**2 - 1882384/17 - 2/17*k**3 - 57624/17*k = 0.
-98
Suppose 11*h - 6*h = 25. Suppose -h = 3*m - 20. Factor -i**m - 6*i**3 + 4*i**5 - i**5 + 4*i**3.
2*i**3*(i - 1)*(i + 1)
Suppose 0 = 22*w - 10*w - 84. Suppose -2*h + 19 = 5*y, 3*h = -y + 2 + w. Factor 2/5*m**h - 8/5 - 8/5*m + 2/5*m**3.
2*(m - 2)*(m + 1)*(m + 2)/5
Factor -26*z + 19*z - 22*z - 25*z + 3*z**2.
3*z*(z - 18)
Let p(t) = t**3 + 4*t**2 + t + 4. Let v be p(-4). Let i(w) = w + 4. Let c be i(v). Let -c - m + 7*m**3 - 3*m**3 - 3*m + 4*m**2 = 0. What is m?
-1, 1
Let y(w) be the first derivative of -w**4/8 - w**3/3 + 5*w**2/4 + 3*w - 19. Factor y(g).
-(g - 2)*(g + 1)*(g + 3)/2
Let a be (108/63)/(108/56). Factor -a*b + 0*b**2 + 0 + 2/9*b**3.
2*b*(b - 2)*(b + 2)/9
Suppose 5*v - 20 + 10 = 0. Let -46*o + 58*o - 18 + 8*o**2 - v = 0. What is o?
-5/2, 1
Determine k, given that 9196/5*k - 1192/5*k**3 - 2552/5*k**2 - 124/5*k**4 - 5324/5 - 4/5*k**5 = 0.
-11, 1
Let c be (-7)/28 + (-1187)/(-28). Let q = c + -42. Find u, given that -q*u**3 + 1/7 + 3/7*u**2 - 3/7*u = 0.
1
Let j = 104 - 102. Find q such that -2*q + 60 + q**3 - q + j*q**2 - 60 = 0.
-3, 0, 1
Let c be -5 + (-4)/(16/(-28)). Factor 0*d + 1/2*d**4 + 0 + 1/2*d**c 