/48 - 3*r**5/16 - 5*r**4/8 - 5*r**3/6 + 2*r**2 - 18. Suppose l(m) = 0. Calculate m.
-2, -1/2
Suppose -4*r = -r - 150. Let g be (40/r)/((-2)/(-10)). Factor -8 + 8*p**2 + 0*p**g - 2*p**2 + 11*p**3 + 0*p**4 - 12*p + 3*p**4.
(p - 1)*(p + 2)**2*(3*p + 2)
Let i be 27/(18/6) - 11 - -2. What is n in -3/2*n**3 + i + 0*n + 9/4*n**4 + 0*n**2 - 3/4*n**5 = 0?
0, 1, 2
Suppose 0*m**3 + 32/11*m**2 + 0 + 32/11*m - 8/11*m**4 - 2/11*m**5 = 0. Calculate m.
-2, 0, 2
Let a = 30 - 50. Let c be (-2)/9 + a/(-9). Factor -4/3*k**3 + 2*k**c - 2/3*k + 0.
-2*k*(k - 1)*(2*k - 1)/3
Let a(z) be the first derivative of -z**7/105 + 2*z**6/75 - z**5/50 + 13*z - 24. Let o(f) be the first derivative of a(f). Determine y so that o(y) = 0.
0, 1
Let r(j) be the second derivative of 1/6*j**4 + 17*j + 13/2*j**2 + 0 - 9/2*j**3. Suppose r(w) = 0. Calculate w.
1/2, 13
Suppose -15*q = 129 + 36. Let d(b) = b**3 + 10*b**2 - 10*b + 11. Let i be d(q). Suppose 0 + i*v + 2/9*v**2 = 0. Calculate v.
0
Let x(l) = l**3 + l**2 - 1. Let h(c) = -7*c**3 + 8*c**2 + 2. Let w(g) = h(g) + 2*x(g). Find r such that w(r) = 0.
0, 2
Suppose -l + 0*l = -17. Let x(f) = f**3 - 4*f**2 + 4*f. Let j be x(3). Factor 3*b**2 + l*b**3 - 5 - 20*b**j + 3*b + 2.
-3*(b - 1)**2*(b + 1)
Let v(y) be the third derivative of -y**7/1400 + 7*y**6/300 - 49*y**5/200 - 6*y**3 + 45*y**2. Let f(d) be the first derivative of v(d). Factor f(i).
-3*i*(i - 7)**2/5
Let z(f) be the first derivative of -2*f**3/33 - 226*f**2/11 - 25538*f/11 + 2. Factor z(u).
-2*(u + 113)**2/11
Factor -10*o**2 - 169*o - 6 + 183*o + 3*o**3 - o**3.
2*(o - 3)*(o - 1)**2
Let o = -37 - -55. Suppose 3*g - 3*x = -x + 14, -o = -g + 4*x. Determine v, given that -1/4*v**3 + 1/4*v + 0 + 0*v**g = 0.
-1, 0, 1
Factor -3012*s**2 + 3*s - 9 - 5 + 9*s + 3014*s**2.
2*(s - 1)*(s + 7)
Let h(t) be the first derivative of -t**5/40 + 13*t**4/48 - t**3 + 9*t**2/8 - 8*t - 10. Let x(j) be the first derivative of h(j). Suppose x(m) = 0. What is m?
1/2, 3
Suppose -7*t + 143 = 122. Let o(c) be the first derivative of 0*c**2 + 3 + 0*c**4 - 3/20*c**5 - 3/4*c + 1/2*c**t. Determine l, given that o(l) = 0.
-1, 1
Let s = 173/114 + -58/57. Factor -3/8*q**2 + 9/8*q - 1/4 - s*q**3.
-(q - 1)*(q + 2)*(4*q - 1)/8
Let g(w) be the first derivative of 5*w**4/4 - 5*w**3 + 5*w**2 + 78. Factor g(s).
5*s*(s - 2)*(s - 1)
Let i(u) be the first derivative of -u**3/4 + 15*u**2/4 - 12*u + 19. Suppose i(g) = 0. What is g?
2, 8
Suppose -1 - 167 = -7*o. Factor 6*i**2 + 3*i**4 + 15*i**2 - o*i**2.
3*i**2*(i - 1)*(i + 1)
Let k(x) = x**2 + 276*x + 3170. Let h be k(-12). Factor 0*t**h + 2/3*t**3 - 2/3*t + 0.
2*t*(t - 1)*(t + 1)/3
Factor -40/3*t - 14*t**2 - 2/3*t**3 + 0.
-2*t*(t + 1)*(t + 20)/3
Let t be (-4)/(-24) - 2*5/60. Let y(k) be the first derivative of t*k - 1/15*k**5 + 3 - 1/12*k**4 + 1/6*k**2 + 1/9*k**3. Factor y(w).
-w*(w - 1)*(w + 1)**2/3
Let g(b) be the third derivative of -b**7/735 - b**6/70 + b**5/210 + b**4/14 + 4*b**2 - 1. Solve g(f) = 0 for f.
-6, -1, 0, 1
Let n(w) = w**4 + 8*w**3 - 17*w**2 - 6*w + 42. Let b(r) = -r**3 + r**2 - r - 1. Let v = -46 - -47. Let y(z) = v*n(z) + 6*b(z). Determine j so that y(j) = 0.
-3, 2
Let a(k) = -k**3 - 9*k**2 + 9*k - 8. Let s = -19 + 9. Let q be a(s). Let -u + 3*u - 7 + 6 + u**q - 2*u**2 = 0. Calculate u.
1
Let i(v) be the second derivative of 0*v**2 - 1/24*v**4 - 7/60*v**6 + 0 - 1/8*v**5 + 0*v**3 - 11*v - 1/28*v**7. Factor i(n).
-n**2*(n + 1)**2*(3*n + 1)/2
Suppose -7 = 6*t - 31. Factor -t*f**5 - 6*f + 10*f + 8*f**4 - 8*f**2 + 0*f**5.
-4*f*(f - 1)**3*(f + 1)
Let p(g) = -5*g - 1. Let t be p(-1). Suppose -2*z - 3 = -2*q + 1, -t*q - 5*z = -8. Factor h**2 + 1 - 10*h - 3 - 3*h**2 - 6*h**q.
-2*(h + 1)*(4*h + 1)
Factor 1/4*l**2 + 2 + 3/2*l.
(l + 2)*(l + 4)/4
Let m(n) be the third derivative of 0*n + 1/448*n**8 + 3/160*n**6 + 1/70*n**7 + 0*n**3 - 1/8*n**4 + 0 - 1/20*n**5 + 15*n**2. Solve m(g) = 0 for g.
-2, -1, 0, 1
Let r(o) = o**2 - 2*o + 11. Let t be r(0). Suppose -5*v + 9 = -t. Factor -2*b**v + 5*b**3 + 0*b**3 + 3*b**4 - 4*b - 2*b**3.
b*(b - 1)*(b + 2)**2
Determine h so that -280245 - 5477*h**2 - 20290*h + 268*h**3 + 2*h**4 + 97995 + 17357*h**2 + 190390*h = 0.
-45, 1
Let n be 34/4 - 7/(-14). Let m(k) = -k + 13. Let y be m(n). Suppose -59 + 3*j**3 + 2*j**2 + 59 + j**y = 0. What is j?
-2, -1, 0
Let v(w) = -w - 4. Let s be v(-4). Let k = -4378/3 - -1460. Factor k*y**4 + 1/6*y + s + y**3 + 2/3*y**2 + 1/6*y**5.
y*(y + 1)**4/6
Let n(r) be the first derivative of 2/5*r**5 + 0*r**4 + 8 + 0*r**2 - 4/3*r**3 + 2*r. Factor n(d).
2*(d - 1)**2*(d + 1)**2
Let z(p) = 8*p**2 - p - 2. Let y be z(2). Suppose -9*m = -y*m + 76. Determine s so that 0 + 3/7*s**5 - 3/7*s**3 + 3/7*s**m + 0*s - 3/7*s**2 = 0.
-1, 0, 1
Let j = 3/187 - -175/748. Let s(g) be the first derivative of -1/8*g**2 + 1/16*g**4 - 1/12*g**3 + j*g - 1. Factor s(u).
(u - 1)**2*(u + 1)/4
Suppose 0 = 205*a - 203*a. Determine n, given that -2/3*n + a + 2/3*n**3 + 2/3*n**4 - 2/3*n**2 = 0.
-1, 0, 1
Let l(c) = -5*c**3 + 27*c**2 + 37*c - 72. Let d(i) = -i**3 + 7*i**2 + 9*i - 18. Let t = -7 - 19. Let a(f) = t*d(f) + 6*l(f). Factor a(g).
-4*(g - 1)*(g + 3)**2
Suppose -109*m + 36*m = 162*m. Factor -3/5*r - 2/5 + 2/5*r**2 - 1/5*r**5 + m*r**4 + 4/5*r**3.
-(r - 2)*(r - 1)*(r + 1)**3/5
Let f be (-2)/7*490/(-90). Suppose -6*i = i. Factor i + 0*j + 2*j**3 + 4/9*j**2 + f*j**4.
2*j**2*(j + 1)*(7*j + 2)/9
Suppose -2*m = 5*y - 130, -4*y + 0*y + 104 = m. Let g be 2 + (2 - (-3 + 4)). Solve g*o - y*o**2 + 24*o**2 - o = 0.
0, 1
Let j(k) be the second derivative of 0 - 1/10*k**5 + 2*k + 1/3*k**3 + 0*k**4 + 0*k**2. Factor j(v).
-2*v*(v - 1)*(v + 1)
Let x(l) be the third derivative of 1/4*l**4 - 1/20*l**6 + 1/30*l**5 - 2/3*l**3 + 0 + 1/105*l**7 - 8*l**2 + 0*l. Find i, given that x(i) = 0.
-1, 1, 2
Let t(i) be the third derivative of -i**6/240 + 7*i**4/48 + i**3/2 - 26*i**2 - 7. Determine m so that t(m) = 0.
-2, -1, 3
Let l = -132 - -174. Suppose 2*o + 3*s = -5, 3*o + 7 - l = 4*s. Let 3/4*a**2 - 3/4*a**4 - 3/4*a**3 + 3/4*a**o + 0 + 0*a = 0. Calculate a.
-1, 0, 1
Suppose -x = -11 - 116. Suppose -6*w**4 + 15*w**2 - 3*w**2 + 0*w**2 - 9*w**3 + 130*w**5 - x*w**5 + 12*w = 0. Calculate w.
-1, 0, 2
Let x be ((-18)/(-8) + 0)*((-728)/21)/(-26). Factor 2/11*q**x - 6/11*q**2 - 2/11 + 6/11*q.
2*(q - 1)**3/11
Let t(f) be the second derivative of 11/60*f**5 + 7*f - 1/30*f**6 + 5/2*f**2 + 0 - 1/3*f**3 - 5/24*f**4. Let q(k) be the first derivative of t(k). Factor q(v).
-(v - 2)*(v - 1)*(4*v + 1)
Let w(s) be the second derivative of 0*s**2 - 3/100*s**5 + 0*s**3 + 0 - 1/5*s**4 - 25*s. Determine k, given that w(k) = 0.
-4, 0
Let k be (-10 - 1204/(-120))/((-3)/(-48)). Factor 2/15*m**2 + 0 - k*m.
2*m*(m - 4)/15
Let c(q) be the third derivative of q**5/24 - 17*q**4/8 + 10*q**3/3 - 199*q**2. Find h such that c(h) = 0.
2/5, 20
Let q(t) be the third derivative of -1/1200*t**6 + 0 + 1/1050*t**7 + 0*t**3 - 19*t**2 + 0*t + 0*t**5 + 0*t**4 - 1/3360*t**8. Find i such that q(i) = 0.
0, 1
Let l(v) be the first derivative of 3/5*v**5 + 0*v**4 + 0*v**2 - v**3 + 0*v + 2. Factor l(s).
3*s**2*(s - 1)*(s + 1)
Factor -48/7*z - 2/7*z**4 - 44/7*z**2 - 16/7*z**3 - 18/7.
-2*(z + 1)**2*(z + 3)**2/7
Let g(o) = -34*o**2 + 18*o - 4*o + 27 + 41*o**2. Let j(h) = -7*h**2 + 8*h - 27 - 23*h + h**2. Let r(b) = -3*g(b) - 4*j(b). Find v, given that r(v) = 0.
-3
Let h be -19*(219/(-12))/((-21)/(-12)). Let r = h - 197. Factor 2/7*s**2 + 32/7*s - r*s**3 - 8/7.
-2*(s - 2)*(s + 2)*(4*s - 1)/7
Let k = -1/100 + 41/100. Factor 0 - k*o**2 - 4/15*o.
-2*o*(3*o + 2)/15
Let k(n) = 8*n**4 - 31*n**3 + 75*n**2 - 52*n + 11. Let b(i) = -3*i**4 + 11*i**3 - 25*i**2 + 17*i - 4. Let p(c) = 11*b(c) + 4*k(c). Factor p(j).
-j*(j - 3)*(j - 1)*(j + 7)
Determine k so that 626/7*k**3 + 1852/7*k**2 + 296*k + 112 + 64/7*k**4 + 2/7*k**5 = 0.
-14, -2, -1
Let y(r) be the first derivative of 2*r**3/3 - 36*r**2 + 15. Let y(k) = 0. What is k?
0, 36
Let l = 2195/7 - 313. Let a = -2528/35 - -384/5. Solve 2*z**4 + a*z**3 + 22/7*z**2 + 0 + l*z = 0 for z.
-1, -2/7, 0
Let r(u) = -18*u**3 + 7*u**2 + 15*u + 2. Let a(z) = 39*z**3 - 15*z**2 - 30*z - 3. Let b(g) = -4*a(g) - 9*r(g). Determine w so that b(w) = 0.
-1, -1/2, 2
Let q(p) be the first derivative of -3*p**5/5 + 177*p**4/4 - 897*p**3 + 2175*p**2/2 + 5046*p + 218. Factor q(w).
-3*(w - 29)**2*(w - 2)*(w +