b**5 + 5*b**4/4 - 25*b**3/3 - 20*b**2 + 80*b. Factor l(p).
-5*(p - 4)*(p - 2)*(p + 1)**2
Let c(d) be the second derivative of -d**5/10 - 2*d**4/3 + 5*d**3/3 + 2*d + 36. What is b in c(b) = 0?
-5, 0, 1
Let b = -24 + 27. Factor -b - 2*w**2 - 7 + 7 + 5*w**2.
3*(w - 1)*(w + 1)
Let q = -50/7 - -607/84. Let z(g) be the second derivative of -1/24*g**4 + 0 + 1/120*g**5 + 3*g - 1/12*g**2 + q*g**3. What is v in z(v) = 0?
1
Determine c, given that -234/5*c - 2/5*c**3 + 8*c**2 + 324/5 = 0.
2, 9
Let n = 37 + -112. Let v be ((-9)/(-15))/((-5)/n). Suppose 2*d + 9*d - v*d - 2*d**3 = 0. What is d?
-1, 0, 1
Suppose 1445*k - 720*k - 731*k + 2*k**2 = 0. What is k?
0, 3
Let z = 752/35 + -2186/105. Determine g so that 2/3*g - z*g**2 + 4 = 0.
-2, 3
Let t(q) be the second derivative of q**10/24192 - q**8/5376 + 23*q**4/12 + 2*q. Let m(g) be the third derivative of t(g). Find d such that m(d) = 0.
-1, 0, 1
Let k(a) be the third derivative of -a**7/280 + 9*a**6/80 + 466*a**2. Find l, given that k(l) = 0.
0, 18
Suppose -14*c - 6 = -17*c. Let d(z) be the first derivative of 0*z**c - 2/7*z - 1 + 2/21*z**3. Solve d(f) = 0.
-1, 1
Let f(y) be the first derivative of -y**6/33 + y**4/22 - 88. Suppose f(l) = 0. What is l?
-1, 0, 1
Factor 112/3*i**2 - 32/21*i**3 - 386/21*i + 16/7.
-2*(i - 24)*(4*i - 1)**2/21
Suppose t - 5*r + 2 = 0, -t + r + 7 = 5*r. Suppose 3*f - 5*w = 1, 0 = t*f + 3*w - 0 - 9. Factor -2*o**2 + 3*o**5 + 0*o**2 - 6*o**4 + 8*o**f - 3*o.
3*o*(o - 1)**3*(o + 1)
Let q(u) = -16*u**2 - 204*u + 52. Let i be q(-13). Factor 1/2*p**2 + 0 + i*p + 1/2*p**3.
p**2*(p + 1)/2
Let l(m) = m**3 + m**2 - m. Let h(g) = g**5 - 14*g**4 + 67*g**3 - 178*g**2 + 182*g - 64. Let z(k) = -h(k) - 6*l(k). Let z(u) = 0. Calculate u.
1, 4
Suppose -o + 4 = 2. Suppose -12 + 16 = o*h. Factor -2*s**2 - 6*s**2 + 5*s**3 + s**h + 2*s.
s*(s - 1)*(5*s - 2)
Let i(d) = d + 8. Let x(k) = k + 8. Let s be x(-13). Let o be i(s). Factor -11 + 6*r + 9*r**2 + 11 + o*r**3.
3*r*(r + 1)*(r + 2)
Suppose -10 - 4 = -3*d + n, 2*n + 4 = 0. Factor 5*w - 2*w + 3*w**2 + w**4 - 3*w**3 + 5*w**d - 9*w**4.
-3*w*(w - 1)*(w + 1)**2
Let p(y) be the second derivative of -y**6/15 + y**5/2 + y**4/6 - 5*y**3/3 + 58*y. Factor p(k).
-2*k*(k - 5)*(k - 1)*(k + 1)
Find v such that -1 - 7 + 1 + 5 - v**3 + v + 2*v**2 = 0.
-1, 1, 2
Suppose r - 2*r = 4*c + 384, 5*r = 2*c + 214. Let s = c + 101. Find o, given that 7/6*o**s + 0*o - 1/3*o**3 + 0 - 2/3*o**5 - 1/6*o**2 = 0.
-1/4, 0, 1
Let g(t) = 26*t**2 + 121*t + 53. Let n(y) = 47*y**2 + 241*y + 107. Let h(u) = -7*g(u) + 4*n(u). What is r in h(r) = 0?
-19, -1/2
Let v(m) be the first derivative of 2/3*m**3 - 9 - 16*m - 2*m**2. Determine t so that v(t) = 0.
-2, 4
Suppose 7*g = 2*g + 15. Suppose 2*k - 3*k - 10 = -3*s, 0 = s - g*k - 14. Let 50/9*o**2 + s - 20/3*o = 0. Calculate o.
3/5
Let s = 219 + -64. Let r = -461/3 + s. Find u such that -r*u - 1/3 - 2/3*u**3 - 5/3*u**2 = 0.
-1, -1/2
Let c = 842/195 + 68/195. Determine u so that -8 - 2/3*u**2 + c*u = 0.
3, 4
Let i(k) = k + 20. Let u be i(-10). Suppose -1 + u = 3*v. Let 1 - 4*t + 0*t**3 - 2*t**4 + 4*t**v + 1 = 0. What is t?
-1, 1
Let a(o) be the second derivative of -2*o**7/21 - 2*o**6/5 + 7*o**5/5 + 7*o**4/3 - 12*o**3 + 16*o**2 - 85*o. What is x in a(x) = 0?
-4, -2, 1
Suppose 513 = 38*m - 35*m. Let u = -171 + m. Solve 2/3 - 2/3*b**2 + u*b = 0.
-1, 1
Let l = 55694/9 - 6188. Determine p, given that 2/9*p**3 + l*p**2 + 0 + 0*p = 0.
-1, 0
Let q = -236/7 - -10627/315. Let s(t) be the third derivative of -7*t**2 + 0*t**4 - 1/105*t**7 + 0*t**3 + 0 - 1/90*t**5 - q*t**6 + 0*t. Factor s(d).
-2*d**2*(d + 1)*(3*d + 1)/3
Suppose -32*p + 210 = 38*p. Factor -2/11*f**2 + 0 + 4/11*f**p - 2/11*f**4 + 0*f.
-2*f**2*(f - 1)**2/11
Let m = 280788/161 - 1744. Let v = m + 88/161. Solve -6/7*k**2 + 2/7*k + v = 0 for k.
-2/3, 1
Suppose s + 648 = 1636. Factor 0*q**3 - s*q**2 + q**4 + 1000*q**2 - 8*q - 6*q**3.
q*(q - 2)**3
Let x(y) be the third derivative of -y**5/330 + 5*y**4/66 + 13*y**3/11 + 145*y**2. Factor x(j).
-2*(j - 13)*(j + 3)/11
Let q(f) be the second derivative of 1/12*f**4 + 1/40*f**5 - 1/60*f**6 - 1/24*f**3 - 1/168*f**7 - 1/4*f**2 - 6*f + 0. Determine d, given that q(d) = 0.
-2, -1, 1
Let t(d) be the second derivative of d**8/112 + 17*d**7/168 - d**6/12 - 31*d**3/6 + 39*d. Let x(g) be the second derivative of t(g). Factor x(q).
5*q**2*(q + 6)*(3*q - 1)
Let c(j) be the first derivative of -5*j**4/4 + 335*j**3 - 25500*j**2 + 50000*j - 123. Solve c(z) = 0.
1, 100
Let q(p) be the third derivative of p**7/35 - 29*p**6/40 + 897*p**5/160 - 203*p**4/32 + 49*p**3/16 + 3*p**2 - 12. Factor q(h).
3*(h - 7)**2*(4*h - 1)**2/8
Let h = 218 - -105. Let x = h + -321. Factor 0 + 3/7*g**4 + 3/7*g**x - 6/7*g**3 + 0*g.
3*g**2*(g - 1)**2/7
Let o(x) = -x - 12. Let k be o(-12). Factor -3/2*g + k + 3/4*g**2.
3*g*(g - 2)/4
Let b be -3 + 18/(-294)*-63. Factor 0 + 0*s + 24/7*s**3 - 24/7*s**4 + b*s**5 + 0*s**2.
6*s**3*(s - 2)**2/7
Let l = -2525 - -2527. Factor 3*f**l + 1/2*f**4 + 2*f**3 + 1/2 + 2*f.
(f + 1)**4/2
Let v(b) = 4*b**2 + 632*b - 8128. Let a(r) = -2*r**2 - 421*r + 5418. Let k(s) = 8*a(s) + 5*v(s). Find z, given that k(z) = 0.
26
Let b(o) = 5*o**3 - 15*o**2 + 5*o - 65. Let l be 77/99 - (2 + 60/(-27)). Let m(f) = f**2 - f + 1. Let t(y) = l*b(y) + 25*m(y). Solve t(h) = 0 for h.
-2, 2
Factor -35/3 + 173/6*i + 31/6*i**3 + 1/6*i**4 - 45/2*i**2.
(i - 2)*(i - 1)**2*(i + 35)/6
Factor 1/2*h**3 - 7/2*h**2 + 7/2 - 1/2*h.
(h - 7)*(h - 1)*(h + 1)/2
Let l(r) be the third derivative of -r**5/10 + 15*r**4/8 + 16*r**2. Let c(x) = -3*x**2 + 22*x. Let b(f) = 9*c(f) - 5*l(f). Factor b(i).
3*i*(i - 9)
Let c = -149 + 159. Suppose -f + 4*a = -c, 2*f - 4 = a + 2. Factor 2/9*y**f + 0 + 0*y - 2/9*y**3 - 2/9*y**4 + 2/9*y**5.
2*y**2*(y - 1)**2*(y + 1)/9
Suppose 49*z - 231 = 14. Let k(w) be the first derivative of -3 - 3/4*w**3 + 3/8*w**2 + 3/4*w - 3/16*w**4 + 3/10*w**z. Determine a so that k(a) = 0.
-1, -1/2, 1
Let t be (-2)/(-3) + 88/(-6). Let x = 16 + t. Suppose -z**3 + 2*z + 14*z**2 - 5*z**x + 8*z**3 = 0. What is z?
-1, -2/7, 0
Let h(x) be the second derivative of -x**5/50 - x**4/30 + x**3/15 + x**2/5 + 54*x. Factor h(p).
-2*(p - 1)*(p + 1)**2/5
Let n(p) = p**3 - 14*p**2 - 13*p. Let a be n(15). Let l be 134/182 - a/70. Suppose 2/13*f - l*f**2 + 6/13 = 0. Calculate f.
-1, 3/2
Let l = 1889/6 - 944/3. Factor 161/6*g - 49/6 + l*g**5 - 95/3*g**2 - 17/6*g**4 + 47/3*g**3.
(g - 7)**2*(g - 1)**3/6
Let s(b) be the third derivative of -b**7/5040 + b**5/240 + b**4/72 - 13*b**3/6 - 2*b**2. Let r(x) be the first derivative of s(x). Factor r(m).
-(m - 2)*(m + 1)**2/6
Factor 2/7*w**2 - 18/7*w + 0.
2*w*(w - 9)/7
Let f = -160 + 162. Factor 4 + 158*q**2 - 79*q**2 - 2*q - 83*q**2 + f*q**3.
2*(q - 2)*(q - 1)*(q + 1)
Suppose 7*s + 22 = 43. Let g = 30 - 17. Determine h so that 4*h**4 - g*h**3 + 16*h**4 + 2*h**3 - 20*h**2 + 8*h + 3*h**s = 0.
-1, 0, 2/5, 1
Determine c, given that 2/7*c**3 - 480/7*c + 1656/7 + 22/7*c**2 = 0.
-23, 6
Factor -217*y**2 - 21 + 2*y**3 + 5 - 2*y + 233*y**2.
2*(y - 1)*(y + 1)*(y + 8)
Suppose -3*m + 2*y = 12, -21*m + 12 = -22*m + 2*y. Suppose m*k**2 + 0 + 0*k - 2/21*k**5 - 24/7*k**3 + 8/7*k**4 = 0. Calculate k.
0, 6
Let u(n) = -n**3 + 6*n**2 - 5*n - 12. Let p be u(5). Let x be (-4)/(-30) + 1/((-135)/p). Factor -2/9*o - x*o**2 + 4/9.
-2*(o - 1)*(o + 2)/9
Let z(a) be the second derivative of 0 + 6*a - 1/48*a**4 - 1/12*a**3 + 3/8*a**2. Factor z(c).
-(c - 1)*(c + 3)/4
Let t(a) = a + 12. Suppose -4*r + 15 = 51. Let b be t(r). Factor 1/3*c**2 + b + 2*c.
(c + 3)**2/3
Let p be 81/24*(4 - -2). Let l = p - 39/2. Determine s, given that 0*s - l*s**3 + 0 - s**2 + 1/4*s**4 = 0.
-1, 0, 4
Factor 0 - 1/3*q**4 - 11/3*q**3 + 4*q**2 + 0*q.
-q**2*(q - 1)*(q + 12)/3
Let s(g) be the first derivative of g**3/5 - 33*g**2/10 + 72*g/5 + 113. Factor s(j).
3*(j - 8)*(j - 3)/5
Let u = -17 + 7. Let s be (25/u)/((-2)/4). Factor -7 + 7 + z**2 + 3*z**3 + 3*z**4 + z**s.
z**2*(z + 1)**3
Suppose 10 = 2*c - g, -c - 3*g + 5 = -0*c. Factor u**5 - 2*u**2 - 5*u**3 - 4*u**4 + 0*u**5 - 2*u**c.
-u**2*(u + 1)**2*(u + 2)
Let q(k) be the third derivative of 0*k**3 + 2 + 0*k + 6*k**2 - 1/60*k**5 + 0*k**4. Factor q(b).
-b**2
Let f = -77 - -82. Let y be (-1)/(-2)*(-52)/(-78). What is x in y*x**4 - 1/3*x**2 + 1/3*x**3 + 0*x + 0 - 1/3*x**f = 0?
-1, 0, 1
Let