1)/9
Suppose 17 = a - 6. Let o = -15 + a. Factor 10 + 2 - 4 + 2*l**2 + o*l.
2*(l + 2)**2
Let u(z) be the second derivative of 4/3*z**4 - 4/5*z**5 + 12*z + 0*z**2 + 0 - 2/15*z**6 + 0*z**3 + 2/21*z**7. Determine o so that u(o) = 0.
-2, 0, 1, 2
Let j be (15/(-10))/(18/408). Let s be j/(-6) - (14 + -19 + 10). Factor s - o - 2/3*o**2.
-(o + 2)*(2*o - 1)/3
Let v(o) be the first derivative of o**6/45 - 4*o**5/75 - 2*o**4/15 + 4*o**3/45 + o**2/5 + 358. What is a in v(a) = 0?
-1, 0, 1, 3
Let p(z) be the second derivative of z**4/20 - 21*z**3/5 + 1323*z**2/10 + z - 230. Determine j, given that p(j) = 0.
21
Let f be (-3 - 1) + 0 + 5 + 2. Let j(m) be the first derivative of 3 - 4*m + 2/3*m**f - m**2. Find c, given that j(c) = 0.
-1, 2
Let t(u) = 14*u**2 - 6*u + 12. Let p(b) = 6*b**2 - b + 6. Let s(g) = 7*g**2 - g + 7. Let y(q) = -6*p(q) + 5*s(q). Let z(a) = t(a) + 12*y(a). Factor z(c).
2*c*(c + 3)
Solve -21/2*l**3 + 3/2*l**5 + 9*l + 3/2*l**4 - 3/2*l**2 + 0 = 0.
-3, -1, 0, 1, 2
Let j(w) be the first derivative of -5*w**5 + 20*w + 5/6*w**6 + 35/4*w**4 - 4 + 5/3*w**3 - 20*w**2. Suppose j(n) = 0. What is n?
-1, 1, 2
Let t(j) = -j**3 - 2*j**2 + 1. Let w(s) = -3*s**4 - 64*s**3 - 239*s**2 + 726*s + 4. Let r(c) = -4*t(c) + w(c). Factor r(v).
-3*v*(v - 2)*(v + 11)**2
Let p(u) = -6*u**4 - 45*u**3 - 23*u**2 + 26*u - 10. Let a(g) = 6*g**4 + 45*g**3 + 24*g**2 - 27*g + 12. Let l(s) = 5*a(s) + 6*p(s). Factor l(w).
-3*w*(w + 1)*(w + 7)*(2*w - 1)
Let w = 42 + -29. Suppose -3*k - 4*x = -24, 0*k + k - w = -3*x. Suppose -2/3*o - 2/3*o**k + 4/3*o**3 + 4/3*o**2 - 2/3 - 2/3*o**5 = 0. What is o?
-1, 1
Let s(t) = -3*t - 3. Let u(n) = -5 + 0*n - 6*n - n + n**2. Let y(c) = -5*s(c) + 3*u(c). Factor y(f).
3*f*(f - 2)
Let w = -106 - -167. Let t = w - 61. Factor 3/2*g**4 + 3*g**3 - 3/2*g**2 + t - 3*g.
3*g*(g - 1)*(g + 1)*(g + 2)/2
Let j be ((-5)/10)/(((-3)/18)/1). Let a(y) be the first derivative of 0*y**2 + 0*y + 1/9*y**j - 3 - 1/12*y**4 - 2/15*y**5. Factor a(t).
-t**2*(t + 1)*(2*t - 1)/3
Suppose 11 = 4*s + 3*i, 2*i - 1 = -4*s + 9. Factor -f**3 - 4*f**s + 2*f**4 - 8*f + 6*f + 3*f**3 + 2*f**2.
2*f*(f - 1)*(f + 1)**2
Let p(v) be the first derivative of 3*v**5/5 + 9*v**4 + 46*v**3 + 90*v**2 + 75*v + 551. Find a, given that p(a) = 0.
-5, -1
Let a = -32 + 36. Suppose 3*b - 6 = 0, -6*c + b = -3*c - a. Factor -4*f**2 + 9*f + 0*f**2 + f**c.
-3*f*(f - 3)
Let l = -3/280 + 213/280. Let 4*u**2 - u - 4*u**4 + 7/4*u**5 + 0 - l*u**3 = 0. Calculate u.
-1, 0, 2/7, 1, 2
Let b(o) be the second derivative of o**7/1470 + 2*o**6/315 + o**5/42 + o**4/21 + 11*o**3/6 - 5*o. Let x(c) be the second derivative of b(c). Factor x(n).
4*(n + 1)**2*(n + 2)/7
Let k(p) be the second derivative of 5*p**2 + 1/45*p**3 + 1/450*p**5 + 12*p + 0 + 1/90*p**4. Let z(n) be the first derivative of k(n). Factor z(i).
2*(i + 1)**2/15
Suppose 2 = -4*j + 5*j. Let y be ((-1)/j*-1)/(4 + -2). Suppose -9/4 - 3/2*h - y*h**2 = 0. What is h?
-3
Let p(v) = 55*v - 33. Let z be p(7). Solve -z*d**3 + 130*d**4 - 6*d**5 + 4*d**5 + 32 - 16*d**5 + 432*d**2 - 224*d = 0.
2/9, 1, 2
Let g(m) be the first derivative of 2*m**5/5 + 7*m**4/3 + 4*m**3/3 - 6*m**2 + 38*m - 19. Let i(l) be the first derivative of g(l). Factor i(d).
4*(d + 1)*(d + 3)*(2*d - 1)
Factor 0*a + 0 - 8/3*a**4 + 20/3*a**3 - 8/3*a**2.
-4*a**2*(a - 2)*(2*a - 1)/3
Let q = 25 - 23. Let h be q*134/90 - (-4)/18. Solve -1/5 - h*o**2 + 8/5*o = 0.
1/4
Let y(k) = k**2 + 5*k - 104. Let d be y(8). Let z(h) be the third derivative of 0*h + 0*h**3 - 1/30*h**6 + d + 2*h**2 - 2/15*h**5 + 1/2*h**4. Factor z(x).
-4*x*(x - 1)*(x + 3)
Let b(y) be the first derivative of -y**6/8 - 3*y**5/5 - 9*y**4/8 - y**3 - 3*y**2/8 - 319. Factor b(v).
-3*v*(v + 1)**4/4
Let -2/7*r**4 - 80/7*r - 94/7*r**2 + 2/7*r**5 - 24/7 - 6*r**3 = 0. What is r?
-2, -1, 6
Find o, given that 15/4*o**4 - 129/4*o**3 - 459/4*o + 81/2 + 387/4*o**2 = 0.
3/5, 2, 3
Let k(l) = 3*l**2 + 15*l + 30. Let h(x) = -x + 5. Let n(q) = 2*q - 11. Let s(c) = -9*h(c) - 4*n(c). Let r(t) = -k(t) - 9*s(t). Find u such that r(u) = 0.
-7, -1
Suppose -28*x + 10*x = -468. Let w = 26 - x. Factor -4/5*d**3 + 2/5*d + 2/5*d**5 + 0*d**2 + 0*d**4 + w.
2*d*(d - 1)**2*(d + 1)**2/5
Suppose 8/3 + 40/9*w + 2*w**2 + 2/9*w**3 = 0. Calculate w.
-6, -2, -1
Let g(b) be the first derivative of -b**4/4 + 2*b**3 + 15*b**2/2 + 8*b + 60. Factor g(y).
-(y - 8)*(y + 1)**2
Suppose 0 = -2182*f + 2186*f. Find j, given that f + 1/7*j**2 - 1/7*j = 0.
0, 1
Let u = -605/4 + 607/4. Let -3/2*v**2 + 3/2*v - u + 1/2*v**3 = 0. Calculate v.
1
Let -72 + 20*i**3 - 105*i**2 - 2568*i**4 - 19*i**2 + 172*i + 2572*i**4 = 0. Calculate i.
-9, 1, 2
Suppose -55/4*z - 35/4*z**2 - 25/4 - 5/4*z**3 = 0. Calculate z.
-5, -1
Let o = 12 - 16. Let z be 3 + (o/(2/1))/2. Factor 0 + 1/3*v - 1/3*v**z.
-v*(v - 1)/3
Let d(j) be the first derivative of 1/12*j**3 - 1/2*j**2 + 10 + 3/4*j. Determine r, given that d(r) = 0.
1, 3
Let w(y) = 2*y**2 + 7*y + 5. Let o be w(-4). Factor o*q - 18*q + q - 2*q**2 + 4*q**2 + 6.
2*(q - 3)*(q - 1)
Suppose -2*t + 8 = 2*t. Find o such that 5*o**2 - 3 + 5*o + 4*o**t + o = 0.
-1, 1/3
Let p(l) be the first derivative of 2*l**5/95 + l**4/38 - 14*l**3/57 - 13*l**2/19 - 12*l/19 - 69. Solve p(g) = 0.
-2, -1, 3
Let o(l) be the third derivative of -l**2 + 0*l + 25/24*l**4 + 0*l**3 + 1/12*l**5 + 0. Find z such that o(z) = 0.
-5, 0
Let n(q) be the second derivative of -2/3*q**3 - 28*q + 0*q**2 - 7/6*q**4 + 0. Factor n(p).
-2*p*(7*p + 2)
Let h(q) be the second derivative of -2/15*q**2 + 0 - 1/150*q**5 - q + 1/15*q**3 + 0*q**4. Solve h(f) = 0 for f.
-2, 1
Let t = -54876/943 - -2418/41. Factor -t*q**2 - 8/23 + 40/23*q.
-2*(q - 2)*(9*q - 2)/23
Suppose 49 = 3*c + 13. Let i(b) = 10*b**3 - 8*b**3 + 8*b**2 - 7*b**3 - c*b. Let p(k) = -k**3 + k. Let m(j) = -i(j) + 4*p(j). Determine r, given that m(r) = 0.
0, 4
Let k(d) = 25*d - 148. Let n be k(6). Determine q, given that -q**n + 1/3*q + 0 - 1/3*q**4 + q**3 = 0.
0, 1
Let r(i) be the third derivative of 0*i + 0*i**3 - 1/840*i**7 + 32*i**2 + 0 - 1/24*i**4 - 1/240*i**6 + 7/240*i**5. Factor r(x).
-x*(x - 1)**2*(x + 4)/4
Let y(f) = 10*f**3 + 10*f**2 + f. Let h = 55 + -98. Let p = 64 + h. Let w(o) = 3*o**3 + 3*o**2. Let n(q) = p*w(q) - 6*y(q). Factor n(b).
3*b*(b - 1)*(b + 2)
Let d be 678/(-21) + (-4)/(-14). Let x = -8 - d. Factor 4*y**3 - x*y - 18*y**2 + 6*y**4 - 4 - 1 - 3.
2*(y - 2)*(y + 1)**2*(3*y + 2)
Let q(b) be the first derivative of b**4/22 - 34*b**3/11 + 867*b**2/11 - 9826*b/11 - 41. Factor q(y).
2*(y - 17)**3/11
Let h(q) be the first derivative of -q**6/6 + 5*q**4/4 + 5*q**3/3 - q - 20. Let c(x) be the first derivative of h(x). Factor c(u).
-5*u*(u - 2)*(u + 1)**2
Let v(l) be the third derivative of l**8/90720 - l**7/3780 + l**6/360 - l**5/20 - 4*l**2. Let q(p) be the third derivative of v(p). Factor q(z).
2*(z - 3)**2/9
Let -14/15*p**3 - 2/15*p**5 + 32/15*p + 14/15*p**4 - 38/15*p**2 + 8/3 = 0. Calculate p.
-1, 2, 5
Let b(y) be the third derivative of y**5/180 - 17*y**4/18 + 578*y**3/9 - 7*y**2 - 9*y. Factor b(i).
(i - 34)**2/3
Let r(k) = 1. Let q(p) = p**3 - 4*p**2 + 5*p - 13. Let h(w) = -2*q(w) - 22*r(w). Find l such that h(l) = 0.
1, 2
Let p be -8*85/(-100) + -6. Determine l so that 2/5*l**3 + 2/5*l + 0 - p*l**2 = 0.
0, 1
Let q(f) = 3*f**2 + f - 4. Let r(h) = 2*h**2 + 2*h - 4. Let n = -10 + 5. Let w(j) = n*r(j) + 4*q(j). Let w(p) = 0. What is p?
1, 2
Let q(t) be the second derivative of -5*t**4/12 - 190*t**3/3 - 3610*t**2 - 141*t. Factor q(f).
-5*(f + 38)**2
Let l be -3 - 0 - (-6 + -2). Let s be (-1)/((15/(-9))/l). Factor 9*f**s - 25*f - 6*f**2 - 3*f**4 + 25*f.
-3*f**2*(f - 2)*(f - 1)
Let v(u) = 19*u**2 + 39*u + 576. Let a(j) = -2*j**2 + j. Let s(b) = 18*a(b) + 2*v(b). Find l such that s(l) = 0.
-24
Find i such that 20/3 + 4/3*i**2 - 6*i = 0.
2, 5/2
Let d(v) be the second derivative of -v**4/3 + 116*v**3/3 - 1682*v**2 - 107*v. Determine m, given that d(m) = 0.
29
Let f(x) = 4*x**4 - 6*x**3 + 6*x**2 + 2. Suppose -1 - 5 = 3*y. Let m(s) = 9*s**4 - 12*s**3 + 12*s**2 + s + 5. Let u(n) = y*m(n) + 5*f(n). Factor u(p).
2*p*(p - 1)**3
Let z(o) = -3*o**2 - 8 + 8*o**2 - 4*o**2 + 9*o. Let g be z(-10). Find i such that -3*i - 3*i**3 + 6*i + 3*i**4 - 6*i**g - 3*i = 0.
-1, 0, 2
Suppose -7*v = -30*v + v. Let n(a) be the first derivative of 1/2*a**6 + v*a**2 + 0*a**3 + 