) be the second derivative of -2 - 1/42*l**7 + 0*l**3 + 0*l**4 - 9/20*l**5 - 1/5*l**6 + 0*l**2 - 3*l. Find p, given that y(p) = 0.
-3, 0
Let x(o) be the first derivative of 13*o**5/10 + 27*o**4/8 + o**3/2 + o**2 + 105*o + 20. Let j(n) be the second derivative of x(n). Factor j(t).
3*(t + 1)*(26*t + 1)
Let g be 2/(8/48*-3). Let k(w) = -2*w**2 - 10*w - 6. Let q be k(g). Factor -2/5*l**5 + 6/5*l - 4/5*l**q - 2/5 - 4/5*l**3 + 6/5*l**4.
-2*(l - 1)**4*(l + 1)/5
Find x, given that x**5 + 282*x**2 + 57782*x**4 + 415*x - 297 - 57767*x**4 - 102*x - 314*x**3 = 0.
-27, -1, 1, 11
Let s(u) be the second derivative of u**4/4 - 129*u**3 + 771*u**2/2 + 4529*u. Factor s(j).
3*(j - 257)*(j - 1)
Let g(c) be the first derivative of 5/42*c**7 + 8*c - c**5 + 0*c**2 + 1/6*c**6 + 0*c**3 - 5/3*c**4 + 25. Let f(q) be the first derivative of g(q). Factor f(s).
5*s**2*(s - 2)*(s + 1)*(s + 2)
Solve 1362*y + 125*y**3 + 555*y**2 - 261*y + 549 - 122*y**3 = 0 for y.
-183, -1
Let i(y) be the first derivative of -y**6/36 - 23*y**5/300 + y**4/30 - 2*y**3/3 - 4*y - 143. Let u(z) be the third derivative of i(z). Factor u(n).
-2*(n + 1)*(25*n - 2)/5
Factor 1/3*m**5 + 0 + 242/3*m**3 - 11*m**4 + 0*m + 0*m**2.
m**3*(m - 22)*(m - 11)/3
Determine r, given that -69*r**3 + 636*r + 390 - 3*r**4 + 326*r - 245*r + 236*r**2 + 25*r**2 = 0.
-26, -1, 5
Let g(q) be the third derivative of q**7/3780 + q**6/18 + 5*q**5 + 25*q**4/4 - 77*q**2 + q. Let j(h) be the second derivative of g(h). Factor j(n).
2*(n + 30)**2/3
Let o be (-30)/20 - 204/(-8). Let p be 7 + (-198)/o*16/28. Suppose -8/7 - 6/7*s**4 + 26/7*s**2 + 4/7*s**3 - p*s = 0. What is s?
-2, -1/3, 1, 2
Suppose 16*z - 2*z = 70. Factor 10*n**z + 73*n**4 + 14*n**2 + 46*n**2 - 5*n**4 - 6*n**5 + 124*n**3.
4*n**2*(n + 1)**2*(n + 15)
Let d(z) = z**2 + 95*z - 1524. Let o be d(14). Determine g so that -5/4*g**o - 5/4*g**5 - 35/4*g**3 + 10*g + 25/4*g**4 - 5 = 0.
-1, 1, 2
Let u be 9 - -3 - ((-448)/(-35) + (-24)/30). Determine f, given that 32/7*f - 2/7*f**2 + u = 0.
0, 16
Let i be (-15)/((-660)/(-869)) + 20. Let s(b) be the first derivative of -b**3 + 0*b - 2*b**2 + i*b**4 - 13. Factor s(q).
q*(q - 4)*(q + 1)
Let p = -161 + 163. Factor 15 - 10*l - 13*l**p + 4*l**2 + 4*l**2.
-5*(l - 1)*(l + 3)
Let s(w) be the first derivative of -w**5/5 - 61*w**4/8 - 15*w**3/2 - w**2/2 - 7*w + 4. Let x(k) be the second derivative of s(k). Let x(c) = 0. Calculate c.
-15, -1/4
Let j(r) = 108*r**2 + 267*r - 123. Let f(g) = 89*g**2 + 266*g - 124. Let y(l) = 6*f(l) - 5*j(l). Factor y(v).
-3*(v - 43)*(2*v - 1)
Let d be 4/(-10) - (192/448 + (-227)/105). Let l(y) be the first derivative of -d*y**3 + 0*y**2 + 12 + 4*y. What is f in l(f) = 0?
-1, 1
Let o(s) be the third derivative of -11*s**2 - s + 0*s**3 + 0*s**5 + 0 - 1/80*s**6 + 1/4*s**4. Solve o(r) = 0.
-2, 0, 2
Factor 9/4*j**3 - 21/4*j**2 + 25/4 - 5/4*j.
(j + 1)*(3*j - 5)**2/4
Suppose 0 = 4*w - 2*w - 240. Suppose 819 = 26*n - 19*n. Let 2*d**2 + 4*d**2 + 15*d + w - n - 24*d**3 = 0. Calculate d.
-1/2, -1/4, 1
Let w(s) be the third derivative of 13/12*s**5 - 5/168*s**8 - 10/3*s**3 - 3/14*s**7 - 1/24*s**6 + 5/8*s**4 + 0*s + 0 + 56*s**2. Let w(b) = 0. Calculate b.
-4, -1, 1/2, 1
Let k be 48/120 - 3/15. Let x(z) be the first derivative of 2/5*z - 2/25*z**5 - 29 - 2/5*z**2 + k*z**4 + 0*z**3. Solve x(i) = 0 for i.
-1, 1
Let d(m) be the third derivative of -5*m**8/672 - 59*m**7/840 - 11*m**6/120 + m**5/48 + 486*m**2. Let d(p) = 0. What is p?
-5, -1, 0, 1/10
Let o(j) be the third derivative of 0*j**5 + 0*j**4 + 12*j**2 + 0*j**3 + 1/180*j**6 - 1 + 0*j**7 + 0*j - 1/504*j**8. Find u such that o(u) = 0.
-1, 0, 1
Let k(o) be the third derivative of o**5/120 - o**4/2 + 220*o**2. Factor k(x).
x*(x - 24)/2
Factor -84 + 46/3*j - 2/3*j**2.
-2*(j - 14)*(j - 9)/3
Let s = -1168767/7 + 166967. Factor -s + 2/7*k**2 + 2/7*k**3 - 2/7*k.
2*(k - 1)*(k + 1)**2/7
Let l(o) be the first derivative of 58*o**2 + 3364*o + 3 + 1/3*o**3. Let l(p) = 0. What is p?
-58
Let b(n) be the first derivative of -93 - 9/10*n**2 - 22/5*n + 1/15*n**3. Factor b(q).
(q - 11)*(q + 2)/5
Suppose 245*y - 249*y - 2*i = -35014, 17463 = 2*y - 3*i. Let -1458*r - 3/2*r**3 - y - 81*r**2 = 0. What is r?
-18
Let u(a) = 5*a**3 - 3*a**2 - 8*a - 6. Let f(w) = 13*w**3 + w + 1 - w**2 - 12*w**3 + w**3. Let k(c) = -6*f(c) + 3*u(c). Factor k(d).
3*(d - 4)*(d + 1)*(d + 2)
Let c be 4/(-42) + (-31)/9765*-1605. Let g(s) be the second derivative of -162/5*s**2 + 0 - 19/15*s**4 + 2*s + 66/5*s**3 + 1/25*s**c. Factor g(v).
4*(v - 9)**2*(v - 1)/5
Suppose 11 - 2 = -3*b. Let k be 2/((-4)/(-5)) - b/(-6). Find j, given that 21*j**3 + 8 - k*j**3 + 0*j**5 - 4*j**5 - 12*j - 8*j**2 - 3*j**3 = 0.
-2, -1, 1
Let o = -98 - -98. Let b be -4 - -1 - (-5 - o/(-2)). Find x such that b*x - 10*x + 8 - 40*x**2 + 34*x**2 = 0.
-2, 2/3
Let a be (2*4/(-56))/(12 - (4 - -9)). Let p = 24 - 20. Solve -2/7*o**3 + 2/7*o + a - 1/7*o**p + 0*o**2 = 0.
-1, 1
Let d(a) be the first derivative of 3/5*a**5 + a**3 - 3*a**4 + 9*a**2 + 112 + 0*a. Factor d(c).
3*c*(c - 3)*(c - 2)*(c + 1)
Suppose 76*g = 463*g - 1935. Find x such that -32/11*x**4 + 6/11*x**3 + 2*x**2 - 8/11*x - 8/11*x**g + 0 = 0.
-4, -1, 0, 1/2
Let f(c) be the first derivative of 35/4*c**4 + 55/3*c**3 + c**5 - 57 + 25/2*c**2 + 0*c. Factor f(t).
5*t*(t + 1)**2*(t + 5)
Let x = -547 + 583. Determine i so that -8*i**4 - 3*i**4 + 15 + 14*i**3 + 42*i + 13*i**4 - 8*i**3 + x*i**2 - 5*i**4 = 0.
-1, 5
Let k(g) be the second derivative of -g**7/22680 - g**6/810 + g**5/54 + 23*g**4 - 21*g + 5. Let r(z) be the third derivative of k(z). Factor r(w).
-(w - 2)*(w + 10)/9
Let s be (4/18)/(1484/477). Let p(g) be the first derivative of -2/7*g**3 + 16 + 6/7*g - s*g**4 + 1/7*g**2. Determine w so that p(w) = 0.
-3, -1, 1
Let k(t) be the first derivative of -t**4/6 + 20*t**3/9 + 13*t**2 + 9191. Factor k(f).
-2*f*(f - 13)*(f + 3)/3
Let z(v) be the first derivative of 15*v**2/2 - 28*v - 102. Let j be z(2). Let 24/7*a - 20/7*a**j + 4/7*a**4 + 0 - 8/7*a**3 = 0. What is a?
-2, 0, 1, 3
Let t(p) = -2894*p - 723498. Let y be t(-250). Factor 24/7*o**y + 15/7*o - 150/7 + 3/7*o**3.
3*(o - 2)*(o + 5)**2/7
Let d be 3/12 - 16367/(-2444). Let y = d + 26/47. Factor 5/4*n**2 - y*n + 5/4*n**3 + 0.
5*n*(n - 2)*(n + 3)/4
Let u(p) be the first derivative of -13 + 6*p + 11/4*p**2 - 1/6*p**3. Factor u(c).
-(c - 12)*(c + 1)/2
Factor 79*x - 87*x**2 - 115*x + 48 + 78*x + 108*x.
-3*(x - 2)*(29*x + 8)
Let d(g) = -4*g**2 - 640*g + 32. Let c(r) = -3*r + 2. Let y(t) = 16*c(t) - d(t). Factor y(w).
4*w*(w + 148)
Suppose 2*f + 54 = 29*f. Suppose 67 - 44*g**3 - 5*g**2 + 57*g - 17*g**f + 47*g**3 + 59 - 44*g**2 = 0. What is g?
-1, 2, 21
Suppose -489936 - 4*m**2 + 280968 - 484521 - 4568*m - 508990 - 101685 = 0. What is m?
-571
Suppose 4*s = -997 - 2423. Let b = -850 - s. Factor 1/4*l**b - 1/4*l**4 - 1/4*l**3 + 0*l + 1/4*l**2 + 0.
l**2*(l - 1)**2*(l + 1)/4
Let d be 1*2*5/2. Let g(f) = 166*f + 668. Let r be g(-4). Let 11*h**3 - h**4 - r*h + d*h**4 + 9*h**2 - 1 + 5*h = 0. Calculate h.
-1, 1/4
Suppose 0 = -122*c + 128*c. Factor -u**2 - 7*u - 4*u + 15 + c*u + 5*u + 4*u.
-(u - 3)*(u + 5)
Factor -470/3*q**3 + 0*q - 104/3*q**2 + 0 - 3*q**4.
-q**2*(q + 52)*(9*q + 2)/3
Suppose 48*p - 84 = 22*p + 72. Let d(t) be the third derivative of -1/30*t**5 + 0*t - 1/6*t**4 + 0 - 3*t**2 + 4/3*t**3 + 1/120*t**p. Factor d(l).
(l - 2)**2*(l + 2)
Let q(s) be the second derivative of s**5/120 + 37*s**4/18 - 299*s**3/36 + 25*s**2/2 - 1381*s. Solve q(i) = 0.
-150, 1
Let j = -357925/24 - -14914. Let c(p) be the second derivative of 1/120*p**5 + 0 - 1331/12*p**2 - j*p**4 + 121/12*p**3 - 38*p. Find h such that c(h) = 0.
11
Let l(p) = -101124*p**2 + 634*p + 13. Let i(m) = -101124*m**2 + 633*m + 20. Let t(v) = 4*i(v) - 6*l(v). Determine w, given that t(w) = 0.
1/318
Suppose -f + 4 = 4*u, 2*u + 8*f + 16 = 3*f. Let k be (u + -3)*3*(-2)/3. Factor -39 + 63 - 12*y**2 - 75*y**3 + 108*y + 102*y**k.
-3*(y - 2)*(5*y + 2)**2
Let r(d) be the second derivative of -9*d**6/5 - 129*d**5/8 - 43*d**4/2 + 17*d**3/4 + 15*d**2/2 + 13*d + 8. Determine h, given that r(h) = 0.
-5, -1, -2/9, 1/4
Let p = 112 + -110. Determine d, given that -36*d**p + 4*d**3 + 29*d**3 - 123*d**4 + 12*d + 114*d**4 = 0.
0, 2/3, 1, 2
Factor 14/5*d**2 - 78/5 + 7/5*d + 1/5*d**3.
(d - 2)*(d + 3)*(d + 13)/5
Suppose 11*z =