35. Let s(q) = 14*q**4 - 19*q**3 - 57*q**2 - 115*q - 67. Let v(z) = -3*b(z) + 7*s(z). Factor v(h).
-(h + 1)*(h + 4)**3
Suppose -f + 7 - 3 = 0. Let o be ((468/135)/52)/((-16)/(-120)). Factor 1/2*r**3 - 1/6*r**f - o*r**2 + 0 + 1/6*r.
-r*(r - 1)**3/6
Let w(v) be the first derivative of -5/8*v**4 + 104 - 65/6*v**3 - 60*v**2 - 90*v. Factor w(a).
-5*(a + 1)*(a + 6)**2/2
Let r be -25*((-380)/(-80) - 5). Factor -5/4*k**3 + r*k**2 + 5 - 10*k.
-5*(k - 2)**2*(k - 1)/4
Let -43949604889/3 - 3529*v**2 + 1/3*v**3 + 12453841*v = 0. What is v?
3529
Factor 12113 + 14810 - 92*l - 3350 - 1669 + l**2 + 388*l.
(l + 148)**2
Factor -14/23 + 14/23*t**2 + 2/23*t - 2/23*t**3.
-2*(t - 7)*(t - 1)*(t + 1)/23
Let a = 771458 - 771456. Solve -10/3*w**2 + 2/3*w**4 + 4/3*w + a*w**3 + 0 - 2/3*w**5 = 0 for w.
-2, 0, 1
Let c(t) be the first derivative of -2*t**3/3 + 449*t**2/3 - 596*t/3 - 55. Factor c(u).
-2*(u - 149)*(3*u - 2)/3
Let b be (8 - 4 - 3)*(1 - -2). Let y(l) be the third derivative of -13/40*l**4 - 7*l**2 + 11/100*l**5 + 0*l + 0 + 1/5*l**b. Factor y(c).
3*(c - 1)*(11*c - 2)/5
Let x(h) be the first derivative of -2/45*h**3 + 46/5*h + 68/15*h**2 - 315. Factor x(b).
-2*(b - 69)*(b + 1)/15
Let j(m) = -2*m**2 - 116*m - 1348. Let a be ((-5)/(-2))/(15/30) + -9. Let v(b) = 2*b**2 + 119*b + 1347. Let o(f) = a*v(f) - 5*j(f). Solve o(l) = 0.
-26
Let a(p) be the first derivative of -33*p**3/2 - 75*p**2 - 9*p/2 + 695. What is c in a(c) = 0?
-3, -1/33
Let v(c) be the first derivative of 3/4*c**4 + 0*c**3 + 0*c + 3/5*c**5 + 0*c**2 + 72. Factor v(h).
3*h**3*(h + 1)
Let k(x) be the third derivative of -5*x**6/6 - 3346*x**5/3 + 6698*x**4/3 - 5360*x**3/3 - 1058*x**2. Suppose k(j) = 0. What is j?
-670, 2/5
Let t(m) = m + 5. Let y be t(-12). Let o(s) = -25*s**2 + 6*s + 5. Let g(w) = -9*w + 46*w**2 + 3 - 10 - 8*w**2. Let c(z) = y*o(z) - 5*g(z). Factor c(r).
-3*r*(5*r - 1)
Solve 3*v**3 + 11 + 762 - 264*v - 75*v**2 - 83 - 195 - 159 = 0 for v.
-4, 1, 28
Let n(d) be the first derivative of -d**4/9 + 236*d**3/27 + 40*d**2/3 + 1062. Factor n(i).
-4*i*(i - 60)*(i + 1)/9
Let m be -6 + 0 - (-10653)/1742. Let x = 18/13 + m. Suppose -p**2 + x*p**4 - 1/2 - 2*p + 2*p**3 = 0. What is p?
-1, -1/3, 1
Let i(x) = -6*x**2 + x - 7. Let j(z) = 62*z**2 - 84*z + 742. Let r(v) = -20*i(v) - 2*j(v). Let r(t) = 0. Calculate t.
16, 21
Factor 38*p**3 - 4*p**4 - 142*p**2 + 208*p**3 - 122*p**3 - 606*p**2 - 3468*p.
-4*p*(p - 17)**2*(p + 3)
Let v(z) be the first derivative of 2*z**3/15 - 59*z**2/5 - 674. Determine d so that v(d) = 0.
0, 59
Let k(c) be the first derivative of 605*c**3/3 + 1870*c**2 + 5780*c + 828. Let k(b) = 0. Calculate b.
-34/11
Let y(c) be the second derivative of c**6/120 - c**5/5 - 59*c**4/24 + 35*c**3/3 - 147*c**2/8 - 5317*c. Factor y(g).
(g - 21)*(g - 1)**2*(g + 7)/4
Let f(k) = k**2 - 9*k - 5527. Let j be f(79). Factor -6*i + 24 + 3/2*i**j - 6*i**2.
3*(i - 4)*(i - 2)*(i + 2)/2
Let f(u) be the second derivative of 0 + 5/12*u**4 - 115*u - 3/4*u**5 + 50/3*u**3 + 30*u**2. Determine b, given that f(b) = 0.
-2, -2/3, 3
Factor l**2 - 995*l + 1615*l + 2*l**2 - 9*l**2 - 615 + l**2.
-5*(l - 123)*(l - 1)
Let z be 60/(-5) - -23 - 250/35. Factor z*v**3 - 87/7*v**2 + 0 + 18/7*v.
3*v*(v - 3)*(9*v - 2)/7
Let -75/4 - 21/4*b**2 + 1/4*b**3 + 95/4*b = 0. What is b?
1, 5, 15
Let s(j) be the third derivative of 150*j**2 + 9/560*j**8 + 0*j**3 + 0*j - 1/20*j**4 - 1/14*j**7 + 0 - 3/100*j**5 + 21/200*j**6. Solve s(a) = 0.
-2/9, 0, 1
Let v(s) be the second derivative of s**5/60 - 9*s**4/8 - 29*s**3/3 + s**2/2 - 3*s - 26. Let y(b) be the first derivative of v(b). Factor y(m).
(m - 29)*(m + 2)
Factor -1 - 321*i**2 + 6*i**3 + 1 - 679*i**2 + 6*i**3.
4*i**2*(3*i - 250)
Let t = -487943/72 + 6777. Let c(b) be the second derivative of 1/120*b**5 - 1/18*b**3 + 0 + 0*b**2 - 21*b - t*b**4. Solve c(k) = 0 for k.
-1, 0, 2
Let w(a) be the first derivative of -a**5/20 + 9*a**4/8 + 5*a**3 - 21*a**2 - 45. Let p(l) be the second derivative of w(l). Solve p(n) = 0 for n.
-1, 10
Let n(l) be the first derivative of 121*l**4/54 - 748*l**3/27 + 1156*l**2/9 + 116*l - 95. Let o(a) be the first derivative of n(a). Factor o(y).
2*(11*y - 34)**2/9
Let n = 925484 + -925482. Let t = 2/29 - -48/145. Let 1/5*o**3 - 2/5*o**n - 1/5*o + t = 0. What is o?
-1, 1, 2
Let w = -185943/5 - -37191. What is i in 2/5*i**4 + 1/5*i**5 + w*i + 0 - 8/5*i**2 - 7/5*i**3 = 0?
-3, -2, 0, 1, 2
Let h(w) be the third derivative of -w**5/60 + 5*w**4/24 - w**3/3 - 30*w**2. Let x be h(3). What is o in 12*o - 2*o - x*o - 3 - 3*o**3 - 3*o + 3*o**2 = 0?
-1, 1
Let k(z) = -17*z**2 + z + 1. Let t(l) = 187*l**2 - 2311*l + 264. Let b(m) = -6*k(m) - t(m). Determine x so that b(x) = 0.
2/17, 27
Let v(u) = -2242*u - 67260. Let i be v(-30). Factor 0 - 3/2*g**4 + 42*g**3 - 294*g**2 + i*g.
-3*g**2*(g - 14)**2/2
Suppose 320*u - 317*u - 30 = 4*b, -4*b = -2*u + 28. Suppose 0*g - 1/2*g**4 + 0 + 2*g**3 - u*g**2 = 0. What is g?
0, 2
Let i be ((-5)/2 + 2)/(6/12102). Let p = i + 1009. Solve 0*r**2 - 1/4*r**3 + 3/4*r + p = 0.
-1, 2
Let f(m) = -13*m**2 + 3639*m - 2959. Let p(t) = t**2 - 260*t + 213. Let q(i) = -6*f(i) - 87*p(i). What is c in q(c) = 0?
1, 259/3
Suppose 0*m - 2*m = -4*y + 14, 6 = y - 3*m. Let i be -20*((-22)/60 - 6/(-20)). Factor -i*w**2 + 0 - 2/3*w**y - 2/3*w.
-2*w*(w + 1)**2/3
Let d = 54844/16455 - -2/5485. Let j(t) be the first derivative of -5/2*t**2 - 5/4*t**4 - 8 + 0*t - d*t**3. Factor j(z).
-5*z*(z + 1)**2
Let y(r) = r**3 - r**2 + 2098. Let x be y(0). Suppose -16312 - 472 = -8*b. Factor t**2 - t**3 + x - b.
-t**2*(t - 1)
Let l = -113170 + 220869/2. Let p = l + 2846. Factor p*n**2 + 32*n - 289/2*n**3 + 2.
-(n - 1)*(17*n + 2)**2/2
Let j(z) = 2*z**2. Let p = 302 + -293. Let k(b) = 15*b**2 - 15*b - 12. Let w(q) = p*j(q) - k(q). Factor w(a).
3*(a + 1)*(a + 4)
Let p be 2 - (-6 - 52/(-26))*(-86)/(-20). Factor -52/5*x - p + 8*x**2 - 4/5*x**3.
-4*(x - 8)*(x - 3)*(x + 1)/5
Factor -68/5*r**2 + 0 + 2/5*r**3 + 0*r.
2*r**2*(r - 34)/5
Let v(a) = -2*a - 38. Let m(d) = -d**2 - 716*d - 133652. Let i(b) = 3*m(b) + 24*v(b). Factor i(l).
-3*(l + 366)**2
Let d(m) = -1. Suppose -6*s + 21 = s. Let t(g) = 2*g**2 + 0 + 10*g**4 + 5*g**4 + 3 + 6*g**s - 17*g**2 - 6*g. Let w(p) = -3*d(p) - t(p). Factor w(v).
-3*v*(v - 1)*(v + 1)*(5*v + 2)
Suppose -12*r = -29*r + 17. Let v(f) = f**2 - 2*f - 1. Let y(u) = 40*u**2 - 95*u - 65. Let g(p) = r*y(p) - 35*v(p). Suppose g(q) = 0. What is q?
-1, 6
Let a(n) = 12*n**3 + 6*n**2 - 13. Let m(t) = 5*t**3 + 3*t**2 - 6. Suppose -2*f = -4*o + 10, f + 3*o = 5*f + 20. Let w(r) = f*m(r) + 2*a(r). Factor w(g).
-(g - 1)*(g + 2)**2
Let s(i) be the third derivative of 72*i**3 + 118*i**2 + 0 - 12*i**4 + i**5 + 0*i - 1/30*i**6. Find f, given that s(f) = 0.
3, 6
Let g(o) be the third derivative of -o**5/330 + 63*o**4/44 - 48*o**2 - 20*o. Factor g(y).
-2*y*(y - 189)/11
Factor -12 + 7/2*p**3 - 13/2*p**2 + 1/2*p**4 - 43/2*p.
(p - 3)*(p + 1)**2*(p + 8)/2
Let v(d) be the first derivative of -1/16*d**4 + 0*d**3 - 40 + 3/8*d**2 + 1/2*d. Determine n so that v(n) = 0.
-1, 2
Let y = -660 + 510. Let c be (2/4)/(y/(-120)). Determine v, given that -8/5 + c*v**3 + 6/5*v**2 + 0*v = 0.
-2, 1
Let k(l) be the first derivative of -l**7/840 - l**6/180 + 11*l**5/120 + l**4/2 + 226*l**3/3 - 203. Let z(m) be the third derivative of k(m). Factor z(n).
-(n - 3)*(n + 1)*(n + 4)
Suppose -91 = -5*p - 4*j - 116, 0 = -5*p + 5*j + 65. Factor -1/3*z**4 - 6*z**p - 484/3 + 132*z - 37/3*z**2.
-(z - 2)**2*(z + 11)**2/3
Let a(f) be the third derivative of -37*f**2 + 1/45*f**6 - 1/30*f**5 + 0*f**4 + 0*f**3 - 1/315*f**7 + 0 + 0*f. Solve a(k) = 0 for k.
0, 1, 3
Let i(y) be the second derivative of 0 + 1/6*y**4 - 1/3*y**3 - 2*y**2 + 9*y. Find h, given that i(h) = 0.
-1, 2
Let f be 1/2 - (-7)/((-126)/2727). Let c = f + 154. Determine q, given that 88/17*q**2 + 8/17*q + 0 + 242/17*q**c = 0.
-2/11, 0
Let g(x) be the second derivative of -x**9/18144 + x**8/5040 - x**6/1080 + x**5/720 + 71*x**3/6 - 30*x. Let h(i) be the second derivative of g(i). Factor h(r).
-r*(r - 1)**3*(r + 1)/6
Let t = -222109 - -444219/2. Factor -1/2*p - t*p**3 + 0 - p**2.
-p*(p + 1)**2/2
Let d(b) be the second derivative of b**6/1620 + b**5/540 - b**4/54 + 4*b**3/3 + 36*b + 2. Let k(p) be the second derivative of d(p). Factor k(q).
2*(q - 1)*(q + 2)/9
Let t be (2