2/15, 0, 1
Let d be 2/((-4848)/810 + 6). Suppose -w + 5*w**3 - 133 - 4*w**3 - 2*w**2 + d = 0. Calculate w.
-1, 1, 2
Let g = -6170 - -55562/9. Let v(b) be the second derivative of -g*b**3 - 128/3*b**2 + 0 - 1/9*b**4 + 24*b. Solve v(o) = 0.
-8
Let w(v) be the second derivative of -16*v**5 + 260*v**4 - 735*v**3/2 + 405*v**2/2 - 6559*v. Determine r so that w(r) = 0.
3/8, 9
Let l(q) be the first derivative of q**7/14 + q**6/5 - 21*q**5/20 - 5*q**4 - 6*q**3 - 106*q - 216. Let t(z) be the first derivative of l(z). Factor t(f).
3*f*(f - 3)*(f + 1)*(f + 2)**2
Let n(r) be the second derivative of 1/20*r**5 - 1/4*r**4 + 1/2*r**3 + 3*r + 21 - 1/2*r**2. Factor n(d).
(d - 1)**3
Let s(y) be the second derivative of -y**4/96 + 101*y**3/48 + 39*y**2/2 - 6822*y. Factor s(z).
-(z - 104)*(z + 3)/8
Let i(l) be the second derivative of 51 + 2*l - 9/5*l**2 + 9/10*l**4 - 3/20*l**5 - 7/10*l**3. Factor i(g).
-3*(g - 3)*(g - 1)*(5*g + 2)/5
Let u(h) be the first derivative of 1/16*h**4 + 179 - h**3 - 9/2*h + 29/8*h**2. Factor u(s).
(s - 9)*(s - 2)*(s - 1)/4
Suppose 4616/15*h + 368/15 + 19478/15*h**3 + 17588/15*h**2 + 1276/3*h**4 + 242/15*h**5 = 0. Calculate h.
-23, -2, -1, -2/11
Find a such that -186*a**2 + 928/5 + 2/5*a**4 - 926/5*a**3 + 926/5*a = 0.
-1, 1, 464
Let k be 4*(-4)/8 - 5/(-1). Let b(q) be the second derivative of 2/27*q**k - 1/90*q**5 + 1/54*q**4 + 0 + 16*q + 0*q**2. Factor b(w).
-2*w*(w - 2)*(w + 1)/9
Let q = -193 - -449. Factor -108*y**2 + 48*y**3 + q*y - 71*y**2 - 13*y**2 - 4*y**4.
-4*y*(y - 4)**3
Let k = -143 - -185. Determine b so that 72*b**2 + k - 24 - 18 - 3*b**3 = 0.
0, 24
Let s(m) be the third derivative of m**5/180 + 8*m**4/9 + 1610*m**2. Find u such that s(u) = 0.
-64, 0
Let o(g) = -9*g**3 + 9*g**2 + 5*g + 5. Let c(v) = 28*v**3 - 28*v**2 - 16*v - 16. Let p(r) = -6*r - 5. Let u be p(0). Let h(d) = u*c(d) - 16*o(d). Factor h(l).
4*l**2*(l - 1)
Let l = -330 + 681/2. Let j be 8/(-7)*3*(-203)/58. Factor -j*a - l - 3/2*a**2.
-3*(a + 1)*(a + 7)/2
Let y be (-20)/20 + (-136)/69*4. Let m = -51/23 - y. Factor m + 35/3*s**3 - 80/3*s + 25/3*s**2.
5*(s - 1)*(s + 2)*(7*s - 2)/3
Let o(f) be the third derivative of -4*f**7/35 + 23*f**6/100 + 43*f**5/10 + 13*f**4/5 + f**2 - f - 58. What is n in o(n) = 0?
-13/5, -1/4, 0, 4
Let z(r) be the second derivative of r**7/6720 - 17*r**6/1152 + 7*r**5/240 + 3*r**4/4 - r**3/3 + 73*r. Let g(u) be the third derivative of z(u). Factor g(v).
(v - 28)*(3*v - 1)/8
Let g(o) = -4*o**2 - 4448*o + 28. Let u(f) = -f**2 - 886*f + 6. Let r(c) = -3*g(c) + 14*u(c). Suppose r(d) = 0. What is d?
0, 470
Solve 23/5*o - 24/5 - o**2 = 0 for o.
8/5, 3
Let v be (-210)/(-12)*2/5 - 5. Let r(n) be the second derivative of 1/50*n**5 + 0*n**v + 19*n + 1/30*n**4 - 2/15*n**3 + 0. Let r(g) = 0. Calculate g.
-2, 0, 1
Let a(v) be the first derivative of -5*v**4/4 - 800*v**3 - 290385*v**2/2 - 571210*v - 13864. Suppose a(q) = 0. What is q?
-239, -2
Let b(h) = h + 1. Let y(q) = -10*q - 8. Let u(c) = -22*b(c) - 2*y(c). Let a be u(-4). Find t such that 4*t**3 + 4*t**4 - t - 3*t - 41*t**2 + 37*t**a = 0.
-1, 0, 1
Let m(u) be the second derivative of -u**4/36 + 13*u**3/9 + 20*u**2 + 1524*u - 2. Find x such that m(x) = 0.
-4, 30
Let v(h) = h**3 + 3*h**2 - h. Let z(l) = 2*l**3 - 205*l**2 - 428*l - 212. Let n(r) = -3*v(r) + z(r). Find w, given that n(w) = 0.
-212, -1
Suppose 0 = 460*r - 497*r. Let c(w) be the third derivative of -3*w**2 + r - 85/48*w**4 - 5/6*w**3 + 0*w - 13/12*w**5. Let c(z) = 0. Calculate z.
-1/2, -2/13
Let i = 201938 - 201869. Factor -i*f**3 - 3/2*f**5 - 81/2 - 33/2*f**4 - 135*f**2 - 243/2*f.
-3*(f + 1)**2*(f + 3)**3/2
Let m(y) be the second derivative of -y**5/110 + 4*y**4/33 + 3*y**3/11 + 1248*y. Factor m(q).
-2*q*(q - 9)*(q + 1)/11
Let h(a) be the second derivative of a**7/735 - a**6/84 + a**5/70 + 3*a**4/28 - 123*a**2 - 2*a - 111. Let g(y) be the first derivative of h(y). Factor g(s).
2*s*(s - 3)**2*(s + 1)/7
Let l = 36 + -20. Let o be l/12*6/2. Let -2*w + 4*w**3 + 27*w**4 - 13*w**o - 2*w**5 - 14*w**4 = 0. What is w?
-1, 0, 1
Find r, given that 470*r - 120*r**2 - 2304 + 9*r**3 + 681*r - 12*r**3 - 42*r - 5*r = 0.
-48, 4
Factor 629*c**2 + 31*c - 97*c - 560*c**2 - 3*c**3.
-3*c*(c - 22)*(c - 1)
Let q(b) be the first derivative of 3*b**5/5 - 27*b**4 + 195*b**3 + 348*b**2 - 344. Determine n, given that q(n) = 0.
-1, 0, 8, 29
Factor 4/5*w**2 - 5*w - 20 + 1/5*w**3.
(w - 5)*(w + 4)*(w + 5)/5
Let a(z) = -z**2 + 1. Suppose 4 - 4 = -7*n. Suppose -2*s + n*s + 2*j - 8 = 0, 5*j = -4*s + 11. Let y(u) = -14*u + 14. Let h(v) = s*y(v) + 2*a(v). Factor h(i).
-2*(i - 6)*(i - 1)
Let k be 494/95 - 3/15. Suppose 322 = -k*q + 337. Factor -9/5 - q*a - 3/5*a**2 + 3/5*a**3.
3*(a - 3)*(a + 1)**2/5
Let p(n) = -n**2 - 422*n - 12444. Let x be p(-32). Factor 3/4*s**2 + 432 + x*s.
3*(s + 24)**2/4
Let h(l) = 10*l**3 - 867*l**2 + 1010*l - 292. Let g(f) = 19*f**3 - 1735*f**2 + 2020*f - 583. Let m(q) = 4*g(q) - 7*h(q). Let m(c) = 0. What is c?
1/2, 2/3, 144
Let g(n) = 8*n**2 - 69*n + 120. Let u(h) be the second derivative of -5*h**4/3 + 86*h**3/3 - 150*h**2 - 2*h - 18. Let j(p) = -12*g(p) - 5*u(p). Factor j(l).
4*(l - 5)*(l - 3)
Let d(x) be the third derivative of -x**5/240 + 39*x**4/32 + 15*x**3 - 4872*x**2. Factor d(k).
-(k - 120)*(k + 3)/4
Let v = -357668/3 - -8941706/75. Let 8/25*k**3 + 6/25*k**4 + 0*k + 0 + v*k**2 = 0. What is k?
-1, -1/3, 0
Let p(f) = -f**3 + 20*f**2 + 22*f - 21. Suppose -9*n + 113 = -76. Let v be p(n). Solve -1/2*b**3 + 0 - 1/2*b**2 + v*b = 0 for b.
-1, 0
Let h(a) be the second derivative of a**6/10 + 9*a**5/20 - 5*a**4/2 - 289*a + 5. Factor h(x).
3*x**2*(x - 2)*(x + 5)
Let s(m) be the third derivative of 0*m - 13/360*m**5 - 23/1260*m**7 + 1/72*m**4 + 213*m**2 + 0 + 0*m**3 + 1/288*m**8 + 3/80*m**6. Factor s(c).
c*(c - 1)**3*(7*c - 2)/6
Let z(y) = 2*y**2 - y + 2. Let j(d) = -33*d**2 + 174*d - 797. Let t(f) = -5*j(f) - 80*z(f). Factor t(n).
5*(n - 153)*(n - 5)
Let g be ((-102)/(-528)*2)/((-7)/(-27944)). Let q = -1542 + g. Factor -2/11*t**5 + q*t**3 + 0*t**2 + 0*t**4 - 2/11*t + 0.
-2*t*(t - 1)**2*(t + 1)**2/11
Find l, given that 0 + 0*l - 1/4*l**5 - 75/2*l**4 + 2888*l**2 - 1368*l**3 = 0.
-76, 0, 2
Suppose 2128*r - 2127*r - 165 = 0. Let p be 18/(-2) - (-1515)/r. Factor 0 - 6/11*b - p*b**2.
-2*b*(b + 3)/11
Let m(d) be the third derivative of -22*d**2 + 0*d + 2 + 5/21*d**4 + 13/420*d**5 - 1/210*d**6 - 8/7*d**3 - 1/1470*d**7. Suppose m(n) = 0. What is n?
-4, 1, 3
Let h(l) be the third derivative of l**8/5040 - l**7/840 - l**6/1080 + l**5/120 + 23*l**3/3 - 70*l**2. Let j(g) be the first derivative of h(g). Factor j(i).
i*(i - 3)*(i - 1)*(i + 1)/3
Let a(p) be the second derivative of p**5/50 - 2*p**4/5 - 128*p**3/5 - 1792*p**2/5 + 471*p - 2. Determine b, given that a(b) = 0.
-8, 28
Let a(u) be the first derivative of -u**6/120 - u**5/80 + u**4/48 + u**3/24 + 73*u - 75. Let w(m) be the first derivative of a(m). Solve w(x) = 0.
-1, 0, 1
Solve 10/19*n**4 - 270/19*n**2 - 432/19 - 756/19*n + 8/19*n**3 = 0 for n.
-3, -4/5, 6
Let b = -194 - -2126. Let l be b/1456 + (10/8)/(-5). Suppose -8/13 + 32/13*r - l*r**4 - 50/13*r**2 + 38/13*r**3 + 2/13*r**5 = 0. What is r?
1, 2
Let k(y) be the second derivative of 43*y + 0 + 7/32*y**4 + 11/8*y**3 + 45/16*y**2. Factor k(r).
3*(r + 1)*(7*r + 15)/8
Factor -107/3 - 35*x**2 - 71*x + 1/3*x**3.
(x - 107)*(x + 1)**2/3
Let k(q) be the second derivative of -1/441*q**7 + 0 + 496/63*q**3 + 176/63*q**4 + 256/21*q**2 + 8/315*q**6 + 6*q + 52/105*q**5. Factor k(w).
-2*(w - 16)*(w + 2)**4/21
Let n = 14 + -12. Factor -i**n - 3450 + 3*i + 3448 + 0*i**2.
-(i - 2)*(i - 1)
Let z(j) = 2*j**2 + 33*j - 197. Let v be z(9). Let n = 1049/4 - v. Factor 1/2*f**3 - 3/4*f - 3/4*f**4 + n + 1/4*f**5 + 1/2*f**2.
(f - 1)**4*(f + 1)/4
Let v = 205 + -193. Factor -24*w**2 + 26*w**3 + 8*w - v*w**4 + 2*w**5 - 135 + 135.
2*w*(w - 2)**2*(w - 1)**2
Let f(a) be the second derivative of 0*a**2 + 3/28*a**4 - 3/70*a**5 - 1/70*a**6 - 9*a + 0 + 0*a**3. Let f(z) = 0. Calculate z.
-3, 0, 1
Let a be (-4 + 27)/(-4 - -5). Let b(y) = -y**3 + 24*y**2 - 24*y + 23. Let s be b(a). Factor s*t**2 - 2/9*t**3 + 8/9*t + 0.
-2*t*(t - 2)*(t + 2)/9
Let h(d) be the third derivative of 0 + 13/32*d**4 + 3/80*d**5 + 0*d + 83*d**2 - 5/4*d**3. Factor h(n).
3*(n + 5)*(3*n - 2)/4
Let h(n) be the third d