+ 2)/3
Suppose -2*l + 3*l**2 + l**2 - 2*l**2 = 0. Calculate l.
0, 1
Let r(j) be the third derivative of -1/240*j**5 - 4*j**2 + 0*j + 0 + 0*j**4 + 1/24*j**3. Factor r(v).
-(v - 1)*(v + 1)/4
Let s = -4925/2 - -2463. Suppose 2*h - 5 - 1 = 0. Let -1/2*c**h + c**2 + 0 - s*c = 0. What is c?
0, 1
Find k such that -100/3*k**2 - 248/3*k + 62/3*k**3 + 22/3*k**4 + 16 = 0.
-3, -2, 2/11, 2
Determine s so that -19*s + 54*s + 2883 + 151*s + 3*s**2 = 0.
-31
Let p(q) be the third derivative of -q**7/525 + q**6/60 + q**5/50 - 17*q**4/60 + 2*q**3/3 - q**2 - 191*q. Suppose p(i) = 0. What is i?
-2, 1, 5
Let p(a) = a**3 - 14*a**2 + 23*a + 14. Let d be p(12). Determine r, given that 4*r**3 + 4 - 5*r**d + 9*r**2 + 8*r**2 + 12*r = 0.
-1
Let h be -4*20/8 - -4. Let c be (h/15)/(2/(-10)). Solve -5*q**2 + q**3 - 6*q**3 + c*q + 6*q**2 - 4*q**2 = 0 for q.
-1, 0, 2/5
Solve -4/9*r**4 + 2/3*r**3 + 8/9*r**2 - 4/9 - 2/3*r = 0.
-1, -1/2, 1, 2
Suppose 5*z - 4 + 69 = 0. Let v = -11 - z. Factor 15 - 11 - v*x - 3 + x**2.
(x - 1)**2
Let z(m) be the first derivative of 4/21*m**3 + 1/28*m**4 - 9 + 0*m + 3/14*m**2. Solve z(x) = 0.
-3, -1, 0
Suppose 0 = 9*f - 97 - 11. Suppose 18*q - 24*q = -f. Factor -2/9*k - 2/9 + 2/9*k**3 + 2/9*k**q.
2*(k - 1)*(k + 1)**2/9
Let v(d) be the first derivative of -3*d**4/8 + 15*d**3/2 + 3*d**2/4 - 45*d/2 - 101. Factor v(s).
-3*(s - 15)*(s - 1)*(s + 1)/2
Let z be (1*1/3)/1. Let c be (-4 - 116/(-24)) + (-90)/180. Factor o - 2/3*o**2 + o**4 - 2/3*o**3 - c - z*o**5.
-(o - 1)**4*(o + 1)/3
Let x = 21 - 23. Let o be -3*(x - 12/(-9)). Solve 2*c**2 - 3*c**2 + 2 - 4*c**2 + 3*c**o = 0.
-1, 1
Let y(q) be the first derivative of -q**4/36 - 2*q**3/27 - q**2/18 - 14. Factor y(u).
-u*(u + 1)**2/9
Let l(m) be the first derivative of -m**4/20 - 2*m**3/15 + m**2/10 + 2*m/5 - 93. Factor l(x).
-(x - 1)*(x + 1)*(x + 2)/5
Factor -6*f**2 + 5*f**2 + 10*f**3 + 5*f**4 - 4*f**4 - f**2 - 10*f + f**2.
f*(f - 1)*(f + 1)*(f + 10)
Let q(v) = v**4 + 12*v**3 - 27*v**2 + 38*v - 15. Let o(h) = -h**3 - 2*h**2 - h + 1. Let l(d) = -3*o(d) - q(d). Determine s, given that l(s) = 0.
-12, 1
Let c(b) = b - 3. Let t be c(10). What is i in -i**3 - 5*i**4 - i**2 - 5*i**4 + 4*i**4 + t*i**4 + i = 0?
-1, 0, 1
Suppose -5*g - 27 = -v - 36, 0 = g - 2*v. Factor 1/2*t**g + 3*t + 0.
t*(t + 6)/2
Let c(u) be the first derivative of u**5/5 + 9*u**4/4 - 7*u**3 + 11*u**2/2 + 60. Determine y, given that c(y) = 0.
-11, 0, 1
Let l = -17337 - -988159/57. Let r = -4/19 - l. Let r*b**2 - 4/3 + 2/3*b = 0. Calculate b.
-2, 1
Let x be 13/((-39)/(-36)) - -1. Factor -10*y + x + 35*y**2 + 11 - 24.
5*y*(7*y - 2)
Let a(z) be the second derivative of -z**7/735 - z**6/140 - z**5/70 - z**4/84 - 13*z**2 - 21*z. Let w(r) be the first derivative of a(r). Factor w(h).
-2*h*(h + 1)**3/7
Let k = 96 + -64. Let a = 354/11 - k. Factor -4/11 - 6/11*q - a*q**2.
-2*(q + 1)*(q + 2)/11
Suppose -d + 28 = d. Let a(y) = 13*y**3 - 5*y**2 - 38*y**3 + d*y**3 + 6*y. Let r(g) = -5*g**3 - 2*g**2 + 3*g. Let p(o) = 2*a(o) - 5*r(o). What is j in p(j) = 0?
-1, 0, 1
Factor 0 + 21*b + 3/4*b**2.
3*b*(b + 28)/4
Let c(l) = l**5 + l**4 - l**2 - l. Let m(i) = -151*i**5 - 1411*i**4 - 4737*i**3 - 6341*i**2 - 2588*i - 324. Let t(w) = -4*c(w) - m(w). Factor t(f).
3*(f + 3)**3*(7*f + 2)**2
Factor 9/4*a**2 + 1/8*a**3 + 81/8*a + 0.
a*(a + 9)**2/8
Let j(h) = -h**3 - 5*h**2 + 5. Let b(d) = 2*d**2 - 2. Let y = -40 - -45. Let s(f) = y*b(f) + 2*j(f). Determine q so that s(q) = 0.
0
Suppose -4*m = 6*m - 340. Suppose -m*v + 29*v = -15. Let -12/5*w**4 + 8/5*w**v + 0 + 0*w**2 + 0*w = 0. What is w?
0, 2/3
Suppose -1360*l + 1380*l - 80 = 0. Let p(k) be the first derivative of -4/9*k**3 + 11 + 0*k + 1/3*k**l - 4/3*k**2. Factor p(w).
4*w*(w - 2)*(w + 1)/3
Let 1/5*s**4 + 1/5*s**3 + 0 + 8/5*s - 2*s**2 = 0. What is s?
-4, 0, 1, 2
Suppose 3*k - 7*k + 2*j = 690, 5*j = -k - 167. Let v = 174 + k. Determine i so that 4/11 - 2/11*i - 6/11*i**v = 0.
-1, 2/3
Let o(q) = q**3 - q + 1. Let g(f) = 7*f**3 + 171*f**2 + 7389*f + 7231. Let z(w) = g(w) - 6*o(w). Solve z(s) = 0 for s.
-85, -1
Let k(v) = v**3 - 6*v**2 + 2*v - 15. Let u be k(6). Let i be (-4)/u - (5 + 10/(-2)). Solve -i*m + 1/3*m**3 - 2/3*m**2 + 8/3 = 0.
-2, 2
Let z be -1*4/7 - -86*28/392. Find s such that -8/7 + 36/7*s - 58/7*s**2 - 9/7*s**4 + z*s**3 = 0.
2/3, 1, 2
Let z = 7221 + -93871/13. Factor 8/13 + 10/13*o + z*o**2.
2*(o + 1)*(o + 4)/13
Solve 75 - 10*h**2 + 42*h**2 - 14*h**2 - 7*h**2 - 14*h**2 = 0 for h.
-5, 5
Let h be 2*(2 - 26/4). Let d = h - -13. Factor 7*t**3 - 12*t**3 - 3*t**d - 2*t + 9*t**3 + 0*t**2 + 5*t**2.
-t*(t - 2)*(t + 1)*(3*t - 1)
Let b(o) = 8*o**2 - 10*o - 9. Let x(l) = -19*l**2 + 21*l + 17. Let i(j) = 7*b(j) + 3*x(j). Find h such that i(h) = 0.
-4, -3
Let o(y) be the third derivative of 0 + 0*y - 1/96*y**4 - 1/120*y**5 + 1/420*y**7 + 0*y**6 + 19*y**2 + 0*y**3 + 1/1344*y**8. Factor o(u).
u*(u - 1)*(u + 1)**3/4
Let t(m) be the third derivative of -m**5/150 - 101*m**4/30 - 10201*m**3/15 + 10*m**2 - 13*m. Let t(y) = 0. Calculate y.
-101
Let t(s) = 2*s**3 - s - 1. Let a be t(-1). Let x be ((-28)/49)/(a/7). Solve q**3 - 7*q**3 - 6*q**x + 2*q**3 + 2 = 0 for q.
-1, 1/2
Let x = 58 - 55. Factor y**x - y**3 - 3*y**3 + 9*y**2 - 6*y.
-3*y*(y - 2)*(y - 1)
Let d = 19 - 14. Let l(x) = x**2 - x - 4. Let s be l(d). Let -179*u**3 - 77*u**3 - 144*u - 63*u**2 - s - 341*u**2 + 420*u**4 + 400*u**5 = 0. What is u?
-1, -2/5, -1/4, 1
Factor -3/7*h**4 + 11/7*h**2 + 0 + 1/7*h**5 - 6/7*h - 3/7*h**3.
h*(h - 3)*(h - 1)**2*(h + 2)/7
Let y(n) = 2*n**2 + 2*n + 2. Let p(r) = -9*r**2 - 21*r - 22. Let q(v) = -p(v) - 5*y(v). Determine w so that q(w) = 0.
-1, 12
Let u(q) be the first derivative of -q**7/399 - 2*q**6/285 - 24*q - 3. Let f(b) be the first derivative of u(b). Determine r so that f(r) = 0.
-2, 0
Suppose 3*d - 7*d + 6 = -3*a, -2*d + 5*a - 4 = 0. Suppose 2*s = -7*y + 2*y + 8, y + 12 = d*s. Solve y*p + 8/3 + 2/3*p**3 - 2*p**2 = 0.
-1, 2
Find w such that 12*w - 24*w**2 - 4*w**3 + 50*w**2 - 34*w**2 = 0.
-3, 0, 1
Let z be 30/14 - (-1 - -2). Factor z*t + 4/7*t**2 + 0.
4*t*(t + 2)/7
Let h(i) be the second derivative of -i**5/35 + 32*i**4/7 - 1536*i**3/7 + i + 98. Factor h(q).
-4*q*(q - 48)**2/7
Factor 3*h**3 + 3/2*h**5 - 9/2*h**4 - 9/2*h + 3*h**2 + 3/2.
3*(h - 1)**4*(h + 1)/2
Let r(i) be the first derivative of -i**6/70 + 3*i**5/28 - i**4/4 + 3*i**3/14 + 4*i + 36. Let f(y) be the first derivative of r(y). Factor f(u).
-3*u*(u - 3)*(u - 1)**2/7
Let m(f) be the second derivative of 3*f + 4 + 5/2*f**2 - 3/4*f**3 - 1/24*f**4. Factor m(p).
-(p - 1)*(p + 10)/2
Let y = 3320 + -23238/7. Factor -2/7 + y*a**3 - 6/7*a**2 + 6/7*a.
2*(a - 1)**3/7
Let h(o) be the second derivative of o**4/12 - o**3/3 + 3*o**2/2 - 2*o. Let q be h(3). Factor a + 6*a**3 + 6 + 4*a**3 - a**3 - 10*a - q*a**2.
3*(a - 1)*(a + 1)*(3*a - 2)
Let w(z) = z**3 - z**2 + 2. Let m(k) = -2*k**3 + 12*k - 2. Let b(j) = 5*m(j) - 5*w(j). Factor b(i).
-5*(i - 2)*(i + 2)*(3*i - 1)
Let g(f) = f**2 - 157*f + 181. Let m(u) = -2*u**2 + 234*u - 272. Let z(o) = -8*g(o) - 5*m(o). Determine j so that z(j) = 0.
-44, 1
Let v(y) be the first derivative of 7/36*y**4 + 1/45*y**5 - y**2 - 2/9*y**3 + 0*y - 7/180*y**6 + 7. Let j(m) be the second derivative of v(m). Factor j(t).
-2*(t - 1)*(t + 1)*(7*t - 2)/3
Suppose 4*c = 33*c. Let w(y) be the third derivative of -1/21*y**4 + 1/210*y**5 + 0 + 7*y**2 + 4/21*y**3 + c*y. Factor w(k).
2*(k - 2)**2/7
Let j be (-1 + 2)*5748/5269. Factor 18/11*v + j + 6/11*v**2.
6*(v + 1)*(v + 2)/11
Let l be 8/56 + 278/(-770). Let r = l - -9/11. Let 3/5*p**2 + 3/5*p**3 - 3/5*p - r = 0. Calculate p.
-1, 1
Let x be (3/(-2))/((-1)/2). Let m(h) = -20*h - 138. Let v be m(-7). Factor -2 - 2 - 1 + v*c**2 + x.
2*(c - 1)*(c + 1)
Factor f**2 - 3 + 11/2*f.
(f + 6)*(2*f - 1)/2
Factor -16/17*b**2 - 44/17 - 62/17*b + 2/17*b**3.
2*(b - 11)*(b + 1)*(b + 2)/17
Suppose -f + l + 1 = 0, 3*f + 5*l - 3*l = 18. Let d(b) be the first derivative of -9*b**3 + 0*b + 3*b**2 - 3 + 21/4*b**f. Suppose d(v) = 0. Calculate v.
0, 2/7, 1
Let c = -442 + 442. Factor 5/4*t + 15/4*t**3 - 5/4*t**4 + c - 15/4*t**2.
-5*t*(t - 1)**3/4
Let m(q) be the first derivative of 9 - 5/3*q**3 - q**5 + 0*q + 5/2*q**4 + 0*q**2. Let m(t) = 0. What is t?
0, 1
Let y(u) be the third derivative of -u**7/490 + u**6/40 - u**5/28 - 31*u**4/56 + 15*u**3/7 +