p(o) = -13*o**4 + 382*o**3 - 3280*o**2 + 5433*o - 2489. Let f(a) = 4*a**4 - 96*a**3 + 820*a**2 - 1359*a + 622. Let c(w) = 11*f(w) + 3*p(w). Factor c(b).
5*(b - 5)*(b - 1)**2*(b + 25)
Let z(w) be the third derivative of 0*w**3 + 112*w**2 + 0 + 6/5*w**5 - 4/105*w**7 + 0*w + 1/30*w**6 - 3/2*w**4. Determine y, given that z(y) = 0.
-3, 0, 1/2, 3
Let z(q) = -29*q**3 + 125*q**2 - 398*q + 5. Let g(a) = a**2 - 29*a + 1. Let k(f) = 22*g(f) - 2*z(f). What is r in k(r) = 0?
-2/29, 1, 3
Let n(a) be the second derivative of -17*a**3/6 + 103*a**2 + 3*a - 107. Let s be n(12). Find v, given that -16/3 - s*v**2 + 8/3*v**3 + 2/3*v**4 - 28/3*v = 0.
-4, -1, 2
Let m(p) be the second derivative of -p**5/30 + 176*p**4/9 - 30976*p**3/9 + 83*p - 1. Factor m(w).
-2*w*(w - 176)**2/3
Suppose -5*d - 5*z = -1575, -1576 = -5*d + 11*z - 15*z. Find x such that d - x**3 + 45 + 13*x**2 - 18*x**2 + 44*x**2 - 399*x = 0.
1, 19
Determine d, given that -88/21*d**2 + 4/7*d**3 + 0 + 22/21*d**4 + 2/21*d**5 - 80/21*d = 0.
-10, -2, -1, 0, 2
Let d(f) be the second derivative of -f**4/24 + 21*f**3/4 - 1004*f. Suppose d(l) = 0. Calculate l.
0, 63
Suppose -51*r - 66*r + 32*r + 170 = 0. Suppose -2/7*g**r + 18/7*g - 16/7 = 0. Calculate g.
1, 8
Let s(r) be the second derivative of 0 + 11/24*r**4 - 3/40*r**5 + 1/4*r**3 - 1/60*r**6 - 5/2*r**2 + 109*r. What is m in s(m) = 0?
-5, -1, 1, 2
Let b(s) be the second derivative of -s - 17 + 0*s**2 + 2/5*s**3 - 1/25*s**5 - 2/15*s**4. Find k such that b(k) = 0.
-3, 0, 1
Determine s so that -39 + 3/4*s**4 - 159/4*s + 153/4*s**2 + 159/4*s**3 = 0.
-52, -1, 1
Let l be (7/14)/((-60)/(-168)). Let d = 31/15 - l. Suppose -3/2*f - f**4 + 1/3*f**2 + d + 4/3*f**3 + 1/6*f**5 = 0. Calculate f.
-1, 1, 4
Let j = -560 + 334. Let c = -226 - j. Factor c*v - 2/5*v**2 + 2/5.
-2*(v - 1)*(v + 1)/5
Let x be (-3 + 2)*(-101)/3030. Let w(b) be the first derivative of 18 + 1/3*b**2 - x*b**5 - 1/6*b**4 + 2/3*b - 1/6*b**3. Suppose w(h) = 0. What is h?
-2, -1, 1
Let n(d) = -21*d**3 + 277*d**2 + 385*d + 108. Let w(f) = 16*f**3 - 278*f**2 - 384*f - 104. Let m(h) = -4*n(h) - 6*w(h). Factor m(y).
-4*(y - 48)*(y + 1)*(3*y + 1)
Let q be (-47 - -48)/(3 + -10)*(-6 + 13 - 9). Suppose 26/7*k - q*k**3 - 10/7*k**2 - 2 = 0. What is k?
-7, 1
Suppose -s + 4*z = 22, -4*s - 6*z = -3*z - 26. Let g(a) be the second derivative of -3/4*a**4 + a**3 + 3/20*a**5 + 0*a**s + 0 + 21*a. Factor g(r).
3*r*(r - 2)*(r - 1)
Let b(x) = -x**2 + 2*x - 2. Let w be b(3). Let j(k) = 10*k + 50. Let d be j(w). Find u, given that d*u + 0 - 2/5*u**3 + 8/5*u**2 = 0.
0, 4
Let m(v) = 23*v**2 - 4884*v + 4861. Let u(o) = 8*o**2 - 1629*o + 1621. Let r(y) = 3*m(y) - 8*u(y). Find d, given that r(d) = 0.
1, 323
Suppose 268*o**2 - 524 + 524 + 30*o**3 + 89*o**2 - 3*o**4 = 0. What is o?
-7, 0, 17
Let j(f) be the second derivative of f**5/4 - 85*f**4/12 + 45*f**3/2 + 225*f**2/2 - 1539*f. Factor j(p).
5*(p - 15)*(p - 3)*(p + 1)
Let j(l) be the third derivative of -7/40*l**6 - 34 + 3/2*l**5 + 3*l**3 + 0*l - 2*l**2 - 29/8*l**4. Factor j(c).
-3*(c - 3)*(c - 1)*(7*c - 2)
Suppose -26 = 40*z + 94. Let f be (-3 + z)*12/(-54). Factor 4/3*c**5 + 0*c - 8/3*c**4 + 0*c**2 + f*c**3 + 0.
4*c**3*(c - 1)**2/3
Let j(c) = -c**2 + c - 1. Let m(x) = 5*x**2 - 5*x + 7. Let y(k) = 6*j(k) + m(k). Let g(s) = -8*s**2 + 16*s + 4. Let u(o) = g(o) - 4*y(o). Solve u(a) = 0 for a.
0, 3
Let n(j) be the second derivative of 207*j - 3/4*j**2 - 1/72*j**4 + 0 + 1/6*j**3. Factor n(h).
-(h - 3)**2/6
Let x be (9404/8 + 4)*96/84. Let p = 8089/6 - x. Determine q, given that -4/3*q + 2/3 + 5/6*q**2 - p*q**3 = 0.
1, 2
Let d(g) = -3*g - 19. Let x be d(-8). Factor 4*p**2 - 65*p - 625 - x*p**2 + 15*p.
-(p + 25)**2
Let 212/13*v**2 + 62/13*v**3 + 8/13*v**5 - 376/13*v - 58/13*v**4 + 80/13 = 0. What is v?
-2, 1/4, 2, 5
Let j(l) be the second derivative of -l**6/6 - l**5/4 + 115*l**4/12 - 65*l**3/2 + 45*l**2 + 1370*l. Factor j(n).
-5*(n - 3)*(n - 1)**2*(n + 6)
Factor 8/3 + 5/2*l + 1/3*l**3 - 11/2*l**2.
(l - 16)*(l - 1)*(2*l + 1)/6
Factor 80*d - 15986*d**3 + 7993*d**3 - 2*d**2 + 7992*d**3.
-d*(d - 8)*(d + 10)
Let x(w) be the first derivative of -w**5/70 - w**4/21 - 15*w**2/2 - 4*w - 333. Let a(m) be the second derivative of x(m). Find d, given that a(d) = 0.
-4/3, 0
Let f(l) be the first derivative of -5/8*l**6 + 39/20*l**5 + 3/4*l**2 + 0*l - 72 - 27/16*l**4 - 1/4*l**3. Factor f(a).
-3*a*(a - 1)**3*(5*a + 2)/4
Let b be 56/30 - 12/(-90). Suppose -5*m = -b*q - 6, m - 4 = -0*q - q. Factor 4/3*w**m - 4/3*w**4 + 8/3*w - 8/3*w**3 + 0.
-4*w*(w - 1)*(w + 1)*(w + 2)/3
Let q(f) be the first derivative of -5 - 7*f + 5/2*f**2 + 5/3*f**3 - 5/4*f**4. Let t(d) be the first derivative of q(d). Solve t(o) = 0 for o.
-1/3, 1
Let f = 57/26782 - -6610/40173. Factor 0 - f*a**2 - 2*a.
-a*(a + 12)/6
Let 21*z - 1/2*z**2 - 76 = 0. Calculate z.
4, 38
Let w(s) = s**3 - 27*s**2 + 2*s + 53. Let k be w(27). Suppose 0 = -k*i + 101*i. Solve 0*v - 1/4*v**2 + i = 0.
0
Let k(p) be the first derivative of p**8/336 + p**7/210 - p**6/24 + p**5/20 + 33*p**2 - 80. Let t(z) be the second derivative of k(z). Factor t(v).
v**2*(v - 1)**2*(v + 3)
Let d be (5 - (-1 + 0)) + (-9)/36*-8. Let i(l) be the first derivative of -8/3*l**3 + 0*l - 1/4*l**4 - d*l**2 + 4. Factor i(k).
-k*(k + 4)**2
Factor -843*m**3 - 114*m + 979*m**3 + 63*m**4 - 65*m**4 + 142*m**2 - 162*m.
-2*m*(m - 69)*(m - 1)*(m + 2)
Suppose -2*k - 1 = -2*n + 7, -16 = 5*n + 4*k. Suppose -a + 4 = 4*v - 10, -5*v + 5*a + 5 = n. Factor 0 + 3/4*g**4 - 3/2*g + 15/4*g**2 - 3*g**v.
3*g*(g - 2)*(g - 1)**2/4
Let p = -148846/45 - -29834/9. Factor 0*y**2 - 3/5*y**3 + 48/5 + p*y.
-3*(y - 4)*(y + 2)**2/5
Let -110*w**4 + 128*w**4 + 1509*w**2 - 4*w**3 - 2*w**5 - 1605*w**2 = 0. Calculate w.
-2, 0, 3, 8
Let j(a) = -1 + 146*a - 3*a**3 + 4*a**3 - 142*a - 4*a**2. Let x be j(3). Determine d, given that x + 5*d**2 + 14 + 0 - 20*d - d**2 = 0.
1, 4
Factor 8774*g + 1176 - 180*g**2 - 182*g**2 - 174*g**2 + 528*g**2 + 1018.
-2*(g - 1097)*(4*g + 1)
Let c(w) be the second derivative of w**4/4 - 217*w**3/2 + w - 422. Factor c(m).
3*m*(m - 217)
Let w(z) be the first derivative of 20/7*z**2 + 1/21*z**6 - 4/35*z**5 + 145 - 3/2*z**4 + 48/7*z - 44/21*z**3. Determine g so that w(g) = 0.
-2, -1, 1, 6
Suppose -u + 15 = 2*u. Let l be 12 + 9 + -11 + -1. Factor -l*k + 7*k**u + 2*k**5 - 8*k**5 + 6*k**4 - 6*k**2 + 8*k**3.
k*(k - 1)*(k + 1)*(k + 3)**2
Let z(t) be the first derivative of -t**3/15 - 5*t**2 + 159*t/5 + 3787. Factor z(h).
-(h - 3)*(h + 53)/5
Let d(k) = 100*k**3 - 406*k**2 + 20*k + 19. Let y be d(4). Factor 0 + 24/17*t**y + 2/17*t**4 + 108/17*t + 90/17*t**2.
2*t*(t + 3)**2*(t + 6)/17
Let n(y) be the third derivative of y**5/180 - 155*y**4/12 + 24025*y**3/2 - 623*y**2. Solve n(i) = 0 for i.
465
Let w(g) be the first derivative of -7/2*g**4 - 68/9*g**3 - 134 - 47/6*g**2 + 1/18*g**6 - 4*g - 8/15*g**5. Factor w(b).
(b - 12)*(b + 1)**4/3
Let b = 353 - 359. Let j be 4/b*(-22 + 19). Find o, given that -4/7*o**j + 1/7*o**5 + 0 + 6/7*o**3 - 4/7*o**4 + 1/7*o = 0.
0, 1
Let x(q) = 5765 - 5*q - 5765. Let u(j) = j**2 + 11*j + 15. Let a be u(-10). Let k(i) = -i**2 - 35*i. Let m(s) = a*k(s) - 35*x(s). Factor m(w).
-5*w**2
Let v = 48 - 89. Let b = 44 + v. Factor 6*d**3 + 3*d**3 - 20*d - 8 - 16*d**2 - 13*d**b.
-4*(d + 1)**2*(d + 2)
Let m = 88/421 - -84916/4631. Let f = m - 2630/143. Find z, given that 0 + f*z**2 + 2/13*z**3 + 0*z = 0.
-1, 0
Let l be -1 - (710757/(-330536) - (-6)/237). Determine k, given that 0 - 9/8*k**2 + 3/8*k**3 - 3/8*k + l*k**4 = 0.
-1, -1/3, 0, 1
Let k(i) be the second derivative of -3*i**5/40 - 335*i**4/8 - 28223*i**3/4 - 83667*i**2/4 - 2155*i. Factor k(n).
-3*(n + 1)*(n + 167)**2/2
Suppose 0 = -v + 16*c - 11*c - 95, 5*v = -2*c - 367. Let d = v - -79. Find i, given that 16/15*i**3 + 2/5*i**d + 0 + 4/15*i + 14/15*i**2 = 0.
-1, -2/3, 0
Let t(h) be the third derivative of -65*h**2 + 4/57*h**3 + 0 + 1/570*h**5 + 0*h + 5/228*h**4. Find p, given that t(p) = 0.
-4, -1
Let s(o) be the third derivative of -o**7/840 + o**6/20 - o**5/2 + 7*o**4/3 - 6*o**3 + 2*o**2 - 4356*o. Factor s(l).
-(l - 18)*(l - 2)**3/4
Suppose -4 + 21 = 4*x - b, 2*b = -x + 11. Suppose -13*y = x*y. Find k, given that 25/4*k**5 + 0 - 5/2*k**3 + 0*k + y*k**2 + 15/4*k**4 = 0.
-1, 0, 2/5
Let g be (80/(-5400))/(1/(-3)). Let d(j) be the third deriv