*5/8 - s**4/4 - 14*s. Factor t(k).
-k**2*(k - 3)*(k - 2)/2
Let u(i) be the second derivative of i**5/20 - 3*i**4/2 + 18*i**3 - 108*i**2 + 39*i. Factor u(q).
(q - 6)**3
Suppose 21 = 5*w + 3*l, -2 = -2*w + 2*l - 0*l. Factor 7/4*s**w - 4*s**2 + 0 + s.
s*(s - 2)*(7*s - 2)/4
Factor -395*i - 3*i**3 + i**3 + 12*i**4 - 8*i**2 - 6*i**3 + 407*i - 4 - 4*i**5.
-4*(i - 1)**4*(i + 1)
Let t(c) = 6*c**2 - 378*c + 12291. Let l(o) = -5*o**2 + 380*o - 12290. Let k(m) = 3*l(m) + 2*t(m). Suppose k(x) = 0. Calculate x.
64
Let a = -28 + 32. Let u(s) be the first derivative of -1/2*s**2 - a + 1/12*s**3 + s. Factor u(i).
(i - 2)**2/4
Suppose -7*d - 4*t + 22 = -2*d, 2*t = -5*d + 16. Let y(x) be the first derivative of 0*x**5 - 3/2*x**d + x**4 + 2/3*x**3 - 1/6*x**6 - 2*x - 6. Factor y(q).
-(q - 2)*(q - 1)*(q + 1)**3
Let u be (-4602)/(-3245) - (-4)/22. Factor u*g + 6/5 + 2/5*g**2.
2*(g + 1)*(g + 3)/5
Let u(f) be the third derivative of -25*f**8/336 - 173*f**7/42 + 145*f**6/8 - 331*f**5/12 + 185*f**4/12 + 47*f**2 + 6*f. Suppose u(h) = 0. Calculate h.
-37, 0, 2/5, 1
Let p(o) = -6*o**5 - o**4 - 3*o**3 - 17*o**2 - 4*o + 5. Let i(u) = 3*u**3 - u**3 - 7 + 3 + 5*u**5 + 5*u + 16*u**2. Let q(l) = -5*i(l) - 4*p(l). Solve q(n) = 0.
-1, 0, 3
Let c(d) = -4*d**3 + 29*d**2 + 139*d - 5. Let t(u) = 3*u**3 - 28*u**2 - 140*u + 4. Let i(v) = -4*c(v) - 5*t(v). Factor i(o).
o*(o + 12)**2
Let g(d) be the first derivative of d**4/7 - 80*d**3/21 - 6*d**2 - 233. Factor g(u).
4*u*(u - 21)*(u + 1)/7
Suppose -17*d + 18*d + 42 = 22*d. Factor -1/2*l**d - 6*l - 18.
-(l + 6)**2/2
Let v be 101 + -97 + -1 + -3. Let m(c) be the second derivative of 1/3*c**4 + v - 9*c + 8/3*c**3 + 8*c**2. Let m(h) = 0. Calculate h.
-2
Let v(u) be the second derivative of -1/90*u**5 + 1/54*u**4 + 0*u**2 + 6*u + 2/27*u**3 + 0. What is i in v(i) = 0?
-1, 0, 2
Let k(l) = l + 2 - 3 + 0. Let u be k(13). Factor -7*z**2 + 17*z**2 - u*z**2.
-2*z**2
Let o(p) be the second derivative of -p**4/60 + p**3/15 + 4*p**2/5 + 2*p - 11. Factor o(l).
-(l - 4)*(l + 2)/5
Let r be 2/(-4) - (-33)/(-2). Let j be 0/r - (-2 + 0). Determine u, given that -6*u**5 + j*u - 11*u**4 + 4*u**2 + 7*u**4 + 4*u**5 = 0.
-1, 0, 1
Suppose -12 = -6*v - 0. Let -2*x**3 + 2*x + 5*x**2 + 11*x**v - 26*x**2 + 10*x**4 = 0. What is x?
-1, 0, 1/5, 1
Suppose 2*r = 3*r - 4. Let c = 4376 + -4375. Determine y, given that -1/2*y + r*y**2 - 5/2*y**3 - c = 0.
-2/5, 1
Let d be 3 - 1 - (-5)/((-1575)/594). Let s(m) be the first derivative of 1/21*m**6 + 4/21*m**3 + 0*m - 1/7*m**2 + 0*m**4 - d*m**5 - 9. Factor s(t).
2*t*(t - 1)**3*(t + 1)/7
Let p = 58 + -56. What is i in -3 + 6*i**p - 4*i**5 - 9*i + 6*i**3 - 3*i**4 - 5*i**5 + 6*i + 6*i**5 = 0?
-1, 1
Let a(u) = -20*u**3 + 5*u**2 + 15*u + 5. Let i(n) = -11*n**3 + 3*n**2 + 8*n + 3. Let l(k) = -3*a(k) + 5*i(k). Factor l(j).
5*j*(j - 1)*(j + 1)
Let b be (-2)/(((-20)/(-4))/10). Let l(k) = -15*k**2 + 27*k + 3. Let f(r) = -r**3 - 14*r**2 + 27*r + 4. Let p(z) = b*l(z) + 3*f(z). Factor p(t).
-3*t*(t - 3)**2
Let q(c) = 3*c**2 - 10*c + 19. Let n(r) = 2*r**2 - r - 1. Let l(d) = n(d) - q(d). Factor l(z).
-(z - 5)*(z - 4)
Let z = 2/4235 + 4223/25410. Let u = -93 + 559/6. Solve u*f**3 + 1/3*f**2 + 0 + z*f = 0 for f.
-1, 0
Let f be (-1 - -1)/1 + 3. Suppose 3*u + 3*g - 30 = 0, -4*u = -2*u - f*g - 35. Find p, given that u + 2 - 2*p**2 - 7 = 0.
-2, 2
Suppose 11*m + 25 = 16*m. Let z(k) be the first derivative of 2/7*k**2 + 0*k**3 + 1 + 2/7*k - 2/35*k**m - 1/7*k**4. Suppose z(r) = 0. Calculate r.
-1, 1
Let j(m) be the first derivative of m**7/1890 - m**5/270 - 26*m**3/3 - 7. Let i(k) be the third derivative of j(k). Factor i(q).
4*q*(q - 1)*(q + 1)/9
Let w(z) be the first derivative of z**3 - 18*z**2 + 33*z - 15. Find o, given that w(o) = 0.
1, 11
Let v(a) = -3*a**4 + 19*a**3 - 12*a**2 + 14*a + 7. Let q(z) = 2*z**4 - 13*z**3 + 8*z**2 - 10*z - 5. Let s(n) = 7*q(n) + 5*v(n). Suppose s(t) = 0. Calculate t.
0, 2
Let k(j) = j**3 + 6*j**2 + 4. Let b be k(-6). Determine y so that -8*y**4 + 95*y**2 + 0*y**b + 24 - 15*y**2 + 24*y**3 + 96*y - 20*y - 4*y**5 = 0.
-2, -1, 3
Let s be 2*(-21)/(-12)*2. Suppose k - 24 = -s*k. Find f, given that 9*f**4 - 2*f**5 + 2*f**2 - 3*f**4 - 3*f**k - 3*f**3 = 0.
0, 1
Let c(n) be the third derivative of n**8/84 - 2*n**7/21 - 3*n**6/5 + 4*n**5/3 + 28*n**4/3 - 8*n**2 - n. Let c(l) = 0. Calculate l.
-2, 0, 2, 7
Suppose -3*r + 9 = 2*v, 6*r = -3*v + 2*r + 14. Determine c so that -15*c + c**5 + 33*c**3 + v*c**2 + 2*c**5 + 0*c**5 + 6 - 12*c**4 - 21*c**3 = 0.
-1, 1, 2
Let k(g) = g + 5. Let b be k(-5). Let t be 152/40 - 4 - 4/(-20). What is v in 2/9*v**4 + b*v + 0*v**2 + t - 4/9*v**3 = 0?
0, 2
Let u(x) be the second derivative of -x**7/420 + x**5/60 - x**3/12 + 13*x**2/2 - 3*x. Let h(v) be the first derivative of u(v). Factor h(b).
-(b - 1)**2*(b + 1)**2/2
Factor 1/2*q**2 + 17/2 + 9*q.
(q + 1)*(q + 17)/2
Let g(u) = 2*u**2. Let r be g(1). Solve -13*a**3 + 24*a - 26*a - 9*a**2 + r*a**3 + 4*a**5 = 0.
-1, -1/2, 0, 2
Let k(v) be the first derivative of -v**7/4620 - v**6/396 - 46*v**3/3 + 51. Let j(z) be the third derivative of k(z). Factor j(i).
-2*i**2*(i + 5)/11
Suppose -3*z = 2*i - 4*i - 3, -15 = -i - 4*z. Find h such that 16*h**i + 12*h**4 - 37*h**4 + 20*h**2 + 24*h**3 = 0.
-2/5, 0, 2
Suppose -2*h - 4*v + 32 = h, 0 = -h - v + 9. Let w = 8 - h. Factor -6/5*q**3 + 8/5*q**2 + 0 + 8/5*q - 4/5*q**w + 2/5*q**5.
2*q*(q - 2)**2*(q + 1)**2/5
Solve 4*q**2 + 9/2*q - 9/2*q**3 - 17/4 + 1/4*q**4 = 0.
-1, 1, 17
Factor -1/4*j**2 + 0 + 5/4*j.
-j*(j - 5)/4
Suppose 83*c = 88*c + 2*a - 18, 18 = c + 4*a. Determine o, given that -2/3*o**3 - 8/3*o**c + 8/3 + 2/3*o = 0.
-4, -1, 1
Let w = -2727/7 + 8681/14. Let t = w + -223. Let 3 - 3/2*z**3 - t*z + 6*z**2 = 0. Calculate z.
1, 2
Let 55 - 552*b + 21 + 19 + 33 - 106*b**2 + 470*b**2 = 0. Calculate b.
2/7, 16/13
Suppose y = -4*y + 25. Let 0*u**3 - y*u - u**3 + 6*u**3 + 0*u**3 = 0. What is u?
-1, 0, 1
Let c(i) be the first derivative of i**4/3 - 4*i**3/3 + 2*i**2 - 26*i - 22. Let y(h) be the first derivative of c(h). Determine k so that y(k) = 0.
1
Let b(o) be the first derivative of -2*o**3/9 + 3*o**2 + 44*o/3 - 87. Suppose b(p) = 0. Calculate p.
-2, 11
Suppose 16*v + 3*t = 20*v - 26, 4*t = -3*v + 7. Find l, given that 6*l**2 - 1/2*l**v + 4*l + 0 + l**3 - 3/2*l**4 = 0.
-2, -1, 0, 2
Let c(t) = 10*t**2 - 1. Let r(m) = m + 2. Let z be r(-3). Let s be c(z). Factor -3*n**4 - n**3 - 4 - 2 - n**3 + 2 + s*n**2.
-(n - 1)**2*(n + 2)*(3*n + 2)
Let j(o) = -8*o**2 + 84*o - 292. Let l(n) = -n**2 - 2*n + 3. Let d(k) = j(k) - 4*l(k). Factor d(s).
-4*(s - 19)*(s - 4)
Find r such that 3122*r**2 + 320 - 317 - 183*r - 425*r**2 + 2883*r**3 = 0.
-1, 1/31
Let o(t) = -t**3 + 5*t**2 - 6*t - 2. Let f(r) be the third derivative of r**6/120 - r**5/12 + r**4/4 + r**3/2 - r**2. Let g(b) = -2*f(b) - 3*o(b). Factor g(j).
j*(j - 3)*(j - 2)
Factor -603 - 279 + 84*y - 502*y**2 + 500*y**2.
-2*(y - 21)**2
Let j(i) be the first derivative of 70/3*i**3 - 5/6*i**6 + 15/2*i**4 + 55/2*i**2 - i**5 + 15*i - 12. Determine x, given that j(x) = 0.
-1, 3
Let p(w) be the second derivative of 11*w**5/4 - 10*w**4 - 145*w**3/6 + 15*w**2 - 198*w - 1. Suppose p(m) = 0. Calculate m.
-1, 2/11, 3
What is q in -21/4*q**4 - 215/4*q**2 - q + 37*q**3 + 5 = 0?
-2/7, 1/3, 2, 5
Let f(j) be the second derivative of -1/6*j**4 + 0 + 1/10*j**5 + 14*j + 0*j**3 + 0*j**2. Determine v so that f(v) = 0.
0, 1
Suppose -6*c - 102 = -57*c. Let x(p) be the first derivative of 80/9*p**3 + 32/3*p + 10/3*p**4 + 1/18*p**6 + 2/3*p**5 + 40/3*p**c - 5. Factor x(h).
(h + 2)**5/3
Solve 51*o**2 - 24*o**3 + 112*o**4 - 52*o**4 - 57*o**4 - 30*o = 0.
0, 1, 2, 5
Factor 3*q**2 + 15*q + 2210 + 193*q - 65*q + 3865 + 127*q.
3*(q + 45)**2
Let c(a) be the first derivative of a**3/6 + 10*a**2 + 39*a/2 - 773. Factor c(i).
(i + 1)*(i + 39)/2
Let w(h) = 3*h**2 + 4*h - 2. Let d be w(-2). Let a(l) be the third derivative of 0*l + 1/270*l**5 + 0 + 0*l**3 - 5*l**d - 1/540*l**6 + 0*l**4. Factor a(s).
-2*s**2*(s - 1)/9
Let x(z) be the second derivative of -24/7*z**3 - 3/140*z**5 - 96/7*z**2 - 3/7*z**4 + 0 - 10*z. Factor x(q).
-3*(q + 4)**3/7
Suppose -2*n = a, -4*a - 2 - 11 = -5*n. Let k(s) = -2*s + 5. Let u be k(n). Find f such that 3/7*f**4 - 3/7*f**2 + 9/7*f**u + 0 - 6/7*f - 3/7*f**5 = 0.
-1, 0, 1, 2
Factor 9*x**2 + x**3 + 3