*2 + 5/12*c**4 + 0 - 18*c. Let q(n) = 0. Calculate n.
-1, 4
Let b(o) be the third derivative of -1/10*o**3 - 1/600*o**5 - 1/48*o**4 + 0*o + 0 - 28*o**2. Factor b(s).
-(s + 2)*(s + 3)/10
Let h(d) be the second derivative of d**6/6 + 3*d**5 + 45*d**4/2 + 90*d**3 + 405*d**2/2 - 2*d - 17. Factor h(k).
5*(k + 3)**4
Suppose -3*y + 52*c + 59 = 50*c, 0 = -2*y + 5*c + 32. Factor 20*g**3 + 23/4*g - 16*g**4 + 1/2 + y*g**2.
-(g - 2)*(4*g + 1)**3/4
Let -5/9*w**2 - 2/3*w + 1/9*w**3 + 0 = 0. Calculate w.
-1, 0, 6
Let c(u) be the second derivative of 5*u**4/12 - 55*u**3/6 + 25*u**2 + 2*u + 24. Factor c(j).
5*(j - 10)*(j - 1)
Let g(h) = 6*h**3 + 90*h**2 + 288*h - 379. Let i(v) = -21*v**3 - 315*v**2 - 1008*v + 1326. Let j(x) = -18*g(x) - 5*i(x). Factor j(n).
-3*(n - 1)*(n + 8)**2
Find k, given that -22/3*k**2 - 4/3*k - 34/3*k**4 - 10/3*k**5 + 0 - 14*k**3 = 0.
-1, -2/5, 0
Let z be -6 + 14 + 6 - 8. Let n(g) be the second derivative of -24/5*g**2 + 6/25*g**5 + 16/5*g**3 + 3*g - 1/50*g**z - 6/5*g**4 + 0. Find l, given that n(l) = 0.
2
Let i(x) = -9*x + 9 + 8*x + 0*x. Let s be i(4). Factor -20*z**2 - 22*z**s + 2*z - 3*z - 27*z**5 + 70*z**4 - 3*z + 3*z**3.
-z*(z - 1)**2*(7*z + 2)**2
Let -1/2*o + 1/2*o**3 - 3/2 + 3/2*o**2 = 0. Calculate o.
-3, -1, 1
Suppose -2*q = -p + 91, -15 = -3*q - 0. Solve -z**2 + 83*z - p*z + 3 + 4*z**2 + 21 = 0.
2, 4
Let n be ((-6)/(-153))/((-9)/(-270)*10). Factor 6/17 - n*d**3 + 10/17*d + 2/17*d**2.
-2*(d - 3)*(d + 1)**2/17
Suppose 0 = 4*v - v + 124245. Let a be v/(-120) - 1/8. Factor -2*r + a + 10*r + 3*r**2 + 2*r**2 + r**3 - 341.
(r + 1)*(r + 2)**2
Let m = 2200 + -2197. Factor -2/9*f**4 + 2/9*f**2 + 2/9*f - 2/9*f**m + 0.
-2*f*(f - 1)*(f + 1)**2/9
Solve 0 + 114/7*m**3 - 240*m**2 - 2/7*m**4 + 224*m = 0.
0, 1, 28
Let l(i) be the first derivative of 1/14*i**4 - 1/7*i**2 + 0*i**3 + 14 - 1/7*i + 1/35*i**5. Factor l(d).
(d - 1)*(d + 1)**3/7
Suppose 9*t - 204 = -2*n + 7*t, 4*n - 3*t = 422. Let w be (n/(-78))/((-4)/6). Factor -48/5 - 3/5*y**w + 24/5*y.
-3*(y - 4)**2/5
Suppose -3*n + 4*t = -13, 29*n + 4*t - 2 = 27*n. Find u, given that -3/4 - 3/4*u + 3/4*u**2 + 3/4*u**n = 0.
-1, 1
Let o(c) be the first derivative of -c**3/33 - c**2/22 + 2*c/11 + 92. Determine q, given that o(q) = 0.
-2, 1
Let j(v) be the second derivative of -7*v**5/450 - 37*v**4/180 - 2*v**3/9 - 9*v**2/2 - 14*v. Let p(i) be the first derivative of j(i). Factor p(w).
-2*(w + 5)*(7*w + 2)/15
Let d be (-3)/28*(-1224064)/3144. Determine v, given that 48/7 + 456/7*v**2 + 36/7*v**3 + d*v = 0.
-12, -1/3
Let v = 73/9 - 3997/495. Let w(l) be the third derivative of -4*l**2 + 0 + 1/12*l**4 - 2/33*l**3 - v*l**5 + 0*l. Let w(g) = 0. Calculate g.
1/4, 2/3
Let r(l) be the first derivative of l**6/27 + 4*l**5/15 + l**4/2 + 8*l**3/27 + 68. Suppose r(a) = 0. Calculate a.
-4, -1, 0
Let p(v) be the first derivative of v**4/7 + 40*v**3/21 - 46*v**2/7 + 48*v/7 + 123. Find u such that p(u) = 0.
-12, 1
Let j(r) be the second derivative of 5/3*r**3 - 13*r + 1/4*r**5 + 0*r**2 + 0 - 5/4*r**4. Factor j(x).
5*x*(x - 2)*(x - 1)
Let f(q) be the first derivative of -q**4/24 - q**3/6 - q**2/4 + 10*q - 11. Let o(r) be the first derivative of f(r). Factor o(j).
-(j + 1)**2/2
Suppose 12 = v + 5*n, -2*n = 2*v - 3*n + 9. Let o(a) = a**2 - 7. Let w be o(v). Factor 799*i - 2 + 2*i**w - 799*i.
2*(i - 1)*(i + 1)
Suppose 0 = -4*y + 117 + 27. Let k be (8/y + 0)/((-1)/(-9)). Suppose 2/7*w**k + 6/7 - 8/7*w = 0. What is w?
1, 3
Let 8/3 + 2*n - n**2 - 1/3*n**3 = 0. Calculate n.
-4, -1, 2
Factor 0 + 18*g**3 + 0*g + 3/4*g**5 - 27/4*g**4 - 15*g**2.
3*g**2*(g - 5)*(g - 2)**2/4
Let p(s) be the first derivative of 2 + 0*s + 1/12*s**4 + 2*s**2 - 1/6*s**3 - 1/60*s**5. Let k(q) be the second derivative of p(q). Solve k(m) = 0.
1
Let p be (-14 + 15)*(-3)/(-9)*0 + 0. Suppose -5/3*d + p - 2/3*d**2 = 0. What is d?
-5/2, 0
Factor -25/2*d - 125/4 - 5/4*d**2.
-5*(d + 5)**2/4
Let i(j) be the second derivative of -j**7/17640 + j**6/360 - 7*j**5/120 + j**4/3 - 7*j. Let a(y) be the third derivative of i(y). Determine c so that a(c) = 0.
7
Let f(q) be the second derivative of 0 + 0*q**2 + 33*q + 14/9*q**3 + 1/15*q**5 - 8/9*q**4. Find w, given that f(w) = 0.
0, 1, 7
Let h(i) = -i**2 + 30*i + 20. Let r(w) = -6*w - 4. Let n(k) = 4*h(k) + 22*r(k). Let n(o) = 0. Calculate o.
-2, -1
Let f = -107 + 112. Let g(k) be the third derivative of 1/672*k**8 + 1/48*k**4 - 1/105*k**7 - 1/30*k**f + 0*k**3 + 0*k + 4*k**2 + 0 + 1/40*k**6. Factor g(q).
q*(q - 1)**4/2
Let d(z) be the second derivative of z**6/15 - 3*z**5/10 + z**4/2 - z**3/3 - 3*z - 2. Factor d(v).
2*v*(v - 1)**3
Let s(b) be the second derivative of -32/9*b**3 + 0 + 34*b + 16/45*b**6 + 0*b**2 - 2/63*b**7 + 32/9*b**4 - 8/5*b**5. Factor s(n).
-4*n*(n - 2)**4/3
Let -4/21*c**3 - 2/7*c**2 - 2/21*c + 0 = 0. What is c?
-1, -1/2, 0
Let r(c) be the third derivative of 3/11*c**3 - 1/66*c**5 + 1/44*c**4 + 1/660*c**6 + 0 + 0*c + 12*c**2. Factor r(j).
2*(j - 3)**2*(j + 1)/11
Let u(o) be the second derivative of 0*o**5 + 0 - 1/7*o**7 - 5/3*o**4 + 2*o**2 + 13*o + 8/15*o**6 + o**3. Solve u(g) = 0.
-1, -1/3, 1, 2
Let y(g) = g**3 + g**2 + g - 2. Let k(x) = x**3 + 141*x**2 + 796*x - 3832. Let h(i) = -k(i) - 4*y(i). What is q in h(q) = 0?
-16, 3
Suppose -82*f**3 + 0*f - 4*f + f**2 + 83*f**3 - 4 = 0. What is f?
-2, -1, 2
Let o(b) be the first derivative of -b**4/16 - 9*b**3/2 - 105*b**2/8 - 13*b + 355. Factor o(m).
-(m + 1)**2*(m + 52)/4
Let g(z) be the second derivative of -3*z**5/4 + 5*z**4/3 + 85*z**3/6 - 15*z**2 - 3*z + 9. Factor g(s).
-5*(s - 3)*(s + 2)*(3*s - 1)
Let 0 + 155/6*v + 5/6*v**2 = 0. Calculate v.
-31, 0
Let o(w) be the first derivative of -w**6/1260 - w**5/210 - 25*w**3/3 - 5. Let d(q) be the third derivative of o(q). Factor d(m).
-2*m*(m + 2)/7
Let k(a) be the third derivative of 0*a**3 + 1/84*a**8 + 0*a**5 - 26*a**2 + 0 + 0*a**4 + 2/15*a**6 - 8/105*a**7 + 0*a. Factor k(x).
4*x**3*(x - 2)**2
Let j be -1 + 3 + 20/(-12). Let u = 267 + -265. Suppose j + 1/2*p + 1/6*p**u = 0. Calculate p.
-2, -1
Let g(h) = h**2 - 1. Let x = -18 + 19. Let m be g(x). Determine b so that -17*b + 4 + m*b + 21*b**2 - 9*b**3 + b = 0.
2/3, 1
Suppose 3*c - 8 = -2. Suppose -i - 3 = -u + 4*u, -i + 4*u = -18. Suppose -i*q**2 + 4*q**2 - c*q**2 + q**2 - 3*q = 0. What is q?
-1, 0
Suppose 2*h = -2*y + 4*h + 2, y - 9 = -3*h. Factor 4*l**2 - 10*l**3 - 37*l**3 + 16*l**4 + 5*l**2 + 7*l**y + 2 + 13*l.
(l - 2)*(l - 1)*(4*l + 1)**2
Determine x so that 16 - 1848*x - 10143*x**2 - 26450*x**3 + 59857*x**2 + 4106*x**2 = 0.
2/115, 2
Suppose 3383*r - 3390*r + 28 = 0. Let n(k) be the third derivative of -1/36*k**3 + 0*k**r + 0*k**6 + 0 + 0*k - 2*k**2 + 1/180*k**5 - 1/1260*k**7. Factor n(z).
-(z - 1)**2*(z + 1)**2/6
Let g(h) be the first derivative of -3*h**5/10 + 3*h**4 + h**3/2 - 6*h**2 - 345. Factor g(o).
-3*o*(o - 8)*(o - 1)*(o + 1)/2
Let p(s) be the third derivative of -s**6/40 + 9*s**5/4 - 11*s**4/2 + 11*s**2 + 3. Let p(i) = 0. Calculate i.
0, 1, 44
Let r(t) be the first derivative of -14*t**5/5 - 23*t**4/2 - 4*t**3 + 107. Let r(i) = 0. Calculate i.
-3, -2/7, 0
Let v = 31/18 - 11/9. Let k(j) be the first derivative of -v*j**2 + j**3 - 3/4*j**4 - 6 + 1/5*j**5 + 0*j. Factor k(w).
w*(w - 1)**3
Let r(g) = 20*g + 2. Let t be r(1). Suppose -7*y**2 - 4 + t*y**2 + 21*y - 1 - 1 - 12*y**3 = 0. What is y?
-1, 1/4, 2
Let l = -2 + 0. Let o be 2*(2/l - -2). Determine z, given that -z**3 + 4*z**o - 3*z**3 + 4*z**3 - 4*z**4 = 0.
-1, 0, 1
Let s = -698555/42 - -16631. Let z = s - -11/6. Solve -z - 2/7*y**2 + 6/7*y = 0 for y.
1, 2
Let -1/5*l**2 - 48/5*l + 49/5 = 0. What is l?
-49, 1
Let b(h) be the first derivative of h**6/200 - h**4/40 - 23*h**2/2 - 12. Let f(n) be the second derivative of b(n). Determine u so that f(u) = 0.
-1, 0, 1
Factor -19060*v**3 - 2*v**4 + 19066*v**3 - 7*v**2 + 3*v**4.
v**2*(v - 1)*(v + 7)
Suppose -2*f - 3 = 3*o, 4 = -6*f + 9*f - 4*o. Suppose -5*g - 4*w = -18, -3*g + 0*w + 4 = -w. Factor -4/7*m**3 + f*m**4 + 2/7*m**5 + 2/7*m + 0*m**g + 0.
2*m*(m - 1)**2*(m + 1)**2/7
Factor 10/11*u**3 - 36/11*u**2 - 6*u - 20/11.
2*(u - 5)*(u + 1)*(5*u + 2)/11
Let i(k) be the third derivative of -k**7/56 - 11*k**6/24 - 175*k**5/48 - 245*k**4/48 + 51*k**2 - 4*k. Suppose i(l) = 0. What is l?
-7, -2/3, 0
Suppose -3*p + 29 = 3*t - 10, 5*p = -2*t + 26. Let h be (-372