5 + 19*j**2 + 51*j. Factor f(l).
(l + 3)*(l + 6)*(l + 8)/5
Let a(b) = 191*b + 3731. Let c be a(-19). Factor c*o - 465/4*o**2 - 21 - 75/4*o**3.
-3*(o + 7)*(5*o - 2)**2/4
Let i(d) be the second derivative of 1/42*d**4 + 13/7*d**2 + 2/3*d**3 - 10 + 3*d. What is x in i(x) = 0?
-13, -1
Let a(f) be the second derivative of f + 256*f**2 + 41 - 31/6*f**4 + 1/10*f**5 + 224/3*f**3. Factor a(p).
2*(p - 16)**2*(p + 1)
Let p(s) be the first derivative of -7*s**4/4 - 11*s**3/3 - 2*s**2 - 1988. Factor p(r).
-r*(r + 1)*(7*r + 4)
Let b(z) be the third derivative of -1/20*z**5 - 67*z**2 + 0*z**3 - 1/40*z**6 + 0 + 0*z + 0*z**4. Solve b(f) = 0.
-1, 0
Let s(g) be the first derivative of 14*g**3/3 - 562*g**2 + 320*g + 2785. Factor s(y).
2*(y - 80)*(7*y - 2)
Let m be (-20)/(-15)*(17045/(-490) + 35). Let -4/7*h - 2/7*h**2 + 0 + m*h**3 = 0. Calculate h.
-1, 0, 2
Suppose -h - 2*q + 18 = 69, -5*h + 4*q - 297 = 0. Let j be h*((-2)/3 - 0). Suppose 4*u**4 + 2 - j*u + 2 + 36*u + 4*u**3 - 8*u**2 - 2*u**5 = 0. Calculate u.
-1, 1, 2
Suppose 46*q = 52*q + 6. Let u(z) = 2*z**2 - z + 1. Let h(o) = 3*o**3 + 27*o**2 - 3*o + 3. Let p(s) = q*h(s) + 3*u(s). Factor p(x).
-3*x**2*(x + 7)
Factor 0 - 4/5*c**4 + 0*c**2 + 36/5*c**3 + 0*c.
-4*c**3*(c - 9)/5
Let l(g) be the first derivative of 2*g**3/51 - g**2 - 36*g/17 + 5513. Let l(f) = 0. What is f?
-1, 18
Suppose -6*i - 3*i + 810 = 0. Factor -197 + 99 + 9*v**2 + i + 22*v - 9*v**3.
-(v - 2)*(3*v - 1)*(3*v + 4)
Let 68/5*k - 4/5*k**2 - 288/5 = 0. Calculate k.
8, 9
Suppose -77*b + 69*b - 32 = 0. Let s be (2/9)/((64/(-18))/b). Factor -1/2*a**3 + 0*a + 0*a**2 - s*a**5 - 3/4*a**4 + 0.
-a**3*(a + 1)*(a + 2)/4
Let p = 100477/36 + -2791. Let n(w) be the third derivative of -1/90*w**5 + 0 + 12*w**2 + 2/9*w**3 + 0*w + p*w**4. Factor n(h).
-2*(h - 2)*(h + 1)/3
Let b(j) be the first derivative of j**4/4 - 118*j**3/3 - 239*j**2/2 - 120*j - 239. Factor b(k).
(k - 120)*(k + 1)**2
Let n(b) be the second derivative of -b**5/60 - 17*b**4/24 - 34*b**2 - 2*b + 12. Let x(w) be the first derivative of n(w). Factor x(c).
-c*(c + 17)
Let w(j) = -j**3 - 8*j**2 - 8*j - 23. Let z be w(-7). Let n be z/((-1)/((-20)/(-104))). Suppose -6/13 - 16/13*y + 62/13*y**2 - n*y**3 = 0. What is y?
-1/5, 3/4, 1
Let u(t) be the first derivative of t**5/330 - t**3/33 - t**2/2 - 2*t - 42. Let s(h) be the second derivative of u(h). Factor s(w).
2*(w - 1)*(w + 1)/11
Let y = -10400 + 10404. Let t(i) be the third derivative of -1/6*i**3 + 1/120*i**5 + i**2 - 1/48*i**y + 0 + 0*i. Find o, given that t(o) = 0.
-1, 2
Let s(l) be the first derivative of l**6/2 + 3*l**5/5 - 9*l**4/2 - 4*l**3 + 12*l**2 - 8820. Factor s(x).
3*x*(x - 2)*(x - 1)*(x + 2)**2
Let l(d) be the third derivative of d**4/24 + 7*d**3/3 + 5*d**2 + 6*d. Let k be l(-12). Let f**k + 22*f - 8*f - 14*f = 0. What is f?
0
Let v(a) be the first derivative of 5*a**3/3 - 175*a**2/2 + 170*a + 1964. Factor v(r).
5*(r - 34)*(r - 1)
Suppose -3360*y - 6*y**4 + 14112/5 + 48*y**3 - 2/5*y**5 + 496*y**2 = 0. What is y?
-14, 1, 6
Factor -1437*w + 348*w**2 + 458*w - 390*w + 2916 - 4*w**3 + 291*w - 902*w.
-4*(w - 81)*(w - 3)**2
Let d be ((-84)/(-77))/(-6) - (-70)/22. Find o, given that 44*o**2 + 6*o**d - 13*o**2 - 30*o - o**3 - 6*o**2 = 0.
-6, 0, 1
Factor -16/5*x**2 + 2/5*x**3 + 2*x + 20.
2*(x - 5)**2*(x + 2)/5
Let f(z) be the third derivative of z**7/1470 - z**6/140 + 13*z**5/420 - z**4/14 + 2*z**3/21 + 465*z**2. Let f(v) = 0. Calculate v.
1, 2
Let w(y) = -3*y**2 + 579*y + 11. Let d(g) = -g**2 + 145*g + 3. Let s(m) = 22*d(m) - 6*w(m). Suppose s(l) = 0. Calculate l.
-71, 0
Suppose 664 - 261 + 1031 = 717*p. Factor 124/3*f - 2/9*f**p - 1922.
-2*(f - 93)**2/9
Suppose -4*m = 4*y - 32, -4*y - y = -5*m + 10. Suppose -s - 12 = l - 6*s, -y*l - s + 12 = 0. Solve 4 - 12*i**2 - 6*i**l - 9 + 3*i**5 + 6*i**4 + 11 + 3*i = 0.
-2, -1, 1
Let n be (-7 - 1)*48/96. Let z be (3 - n/(-4)) + 8/(-9). Factor 0 - 2/9*t**3 + 0*t - z*t**2.
-2*t**2*(t + 5)/9
Factor 19/4*i - 1/4*i**2 - 9/2.
-(i - 18)*(i - 1)/4
Let d(h) be the second derivative of -3/5*h**5 + 5/4*h**4 + 0 + 6*h + 0*h**3 + 0*h**2 - 1/10*h**6. Factor d(a).
-3*a**2*(a - 1)*(a + 5)
Let m(t) = -t**2 + 14*t. Let d be (1 - -17) + (-11 - -7). Let c be m(d). Factor 6*s + 7*s + 4*s**2 + 16 + c*s + 7*s.
4*(s + 1)*(s + 4)
Let k(m) be the second derivative of m**5/70 + 5*m**4/42 - 2*m**3/3 - 118*m + 8. Solve k(g) = 0.
-7, 0, 2
Factor -6*v**5 + 5*v**2 - 25*v**2 + 8*v**5 - 105*v**3 + 3*v**5 + 140*v - 20*v**4.
5*v*(v - 7)*(v - 1)*(v + 2)**2
Let b(l) = l - 2. Let p(c) = -5*c**2 - 1715*c - 146195. Let k(s) = 5*b(s) + p(s). Factor k(v).
-5*(v + 171)**2
Let n(g) = 121*g**2 + 2302*g + 59. Let u be n(-19). Let r = -1/52 + 55/156. Factor 0 - 4/3*c - r*c**u.
-c*(c + 4)/3
Let h be 5 + -6 - ((-213)/35 - (-44)/154). Let x = 4687/115 + -206/23. Suppose -12/5*n + 84/5*n**4 + 3*n**5 - h + x*n**3 + 102/5*n**2 = 0. Calculate n.
-2, -1, 2/5
Let v(u) = 10*u**2 - 9*u - 4. Let z be v(4). Let g be -2 - 22/8*z/(-150). Suppose 1/5*o**4 - 1/5*o**2 + 0*o + 0 - 1/5*o**5 + g*o**3 = 0. What is o?
-1, 0, 1
Let j(g) be the second derivative of -g**6/20 - g**5/80 + g**4/8 + g**3/24 - 4747*g. Factor j(k).
-k*(k - 1)*(k + 1)*(6*k + 1)/4
Let q(g) be the second derivative of g**6/75 - g**5/50 - g**4 + 24*g**3/5 - 3796*g. Factor q(m).
2*m*(m - 4)*(m - 3)*(m + 6)/5
Let d(n) be the second derivative of -n**4/12 + 2*n**3 - 11*n**2/2 - 8*n - 48. Find k, given that d(k) = 0.
1, 11
Let t(f) = 3*f**2 + 23*f + 66. Let p(i) = -10*i**2 - 69*i - 201. Let v(m) = 4*p(m) + 14*t(m). Factor v(a).
2*(a + 3)*(a + 20)
Let v(q) be the second derivative of 0*q**2 + 4/15*q**3 - 22/15*q**4 - 66/25*q**6 + 27/35*q**7 + 157/50*q**5 - 146*q + 0. Factor v(r).
2*r*(r - 1)**2*(9*r - 2)**2/5
Let z(o) be the first derivative of -1/18*o**4 + 2/9*o**3 + 0*o**2 + 174 - 8/9*o. Determine a so that z(a) = 0.
-1, 2
Let g(o) be the third derivative of -27*o**8/112 + 27*o**7/7 - 981*o**6/40 + 779*o**5/10 - 255*o**4/2 + 100*o**3 + 2313*o**2. Suppose g(s) = 0. Calculate s.
1/3, 1, 2, 10/3
Let y be (-78)/(-45) - (48 - 8806/185). Factor 8/3*x - y*x**2 + 32/3.
-4*(x - 4)*(x + 2)/3
Suppose 3*i + 5445 - 5442 = -10*s, -3*i = 3*s + 24. What is o in 7/4*o**s + 0 + 0*o - o**2 = 0?
0, 4/7
Suppose 0 = 2*x - 4, 3*p - 3*x - 10 = x. Suppose 12 = 3*u + p. Factor -13*k**2 + 3*k**3 - 20*k**u + 36*k**2.
3*k**2*(k + 1)
Suppose -43*b - 2 = -88. Let 24*q**3 + q - 18*q**b + 22*q - 20*q = 0. What is q?
0, 1/4, 1/2
Let n = 7606 - 7603. Let j(d) be the third derivative of 0*d**n - 1/45*d**5 + 0 + 0*d + 1/9*d**4 - 7*d**2. Factor j(t).
-4*t*(t - 2)/3
Let g be 456/2394*(-2 - (-28)/8). Solve 6/7*j**3 - 46/7*j + g*j**4 - 24/7 - 18/7*j**2 = 0.
-4, -1, 3
Let j be (10/28)/((-400)/160) + 86/14. Let n(c) be the first derivative of 3/2*c**j - 3/4*c**4 + 0*c**2 - 1 + 12/5*c**5 - 2*c**3 + 0*c. Factor n(u).
3*u**2*(u + 1)**2*(3*u - 2)
Let m(a) = -25*a**4 - 5*a**2 - 12. Let z(f) = -4*f**4 + f**3 - 2*f**2 - 2. Let j(w) = m(w) - 6*z(w). Factor j(i).
-i**2*(i - 1)*(i + 7)
Let r(n) be the third derivative of n**7/735 - 11*n**6/140 + 121*n**5/210 - 7*n**4/4 + 58*n**3/21 - 223*n**2. Let r(f) = 0. What is f?
1, 2, 29
Let q be ((-12)/10)/((-1809)/1675). Let d(f) be the first derivative of -2/3*f**4 + 2/15*f**5 + 0*f + q*f**3 - 2/3*f**2 - 17. Let d(n) = 0. Calculate n.
0, 1, 2
Let p(n) be the second derivative of -n**8/1680 + n**7/210 - n**6/90 - 9*n**4/2 - 54*n. Let f(u) be the third derivative of p(u). Find c such that f(c) = 0.
0, 1, 2
Let a(i) be the first derivative of -3*i**4 - 64*i**3/3 + 54*i**2 + 576*i + 2001. Solve a(m) = 0.
-16/3, -3, 3
Let n(w) = 5*w**4 + 8*w**3 - 11*w**2 + 2. Let m(c) = 7*c**4 + 6*c**3 - 10*c**2 + 3. Let h(d) = -2*m(d) + 3*n(d). Find a, given that h(a) = 0.
-13, 0, 1
Let g(j) be the second derivative of -17*j**4/21 + 2554*j**3/21 - 360*j**2 - 1806*j. Factor g(v).
-4*(v - 1)*(17*v - 1260)/7
Let t = -36 - -41. Suppose -x + 22 = r - 0*x, 0 = -t*r - 4*x + 114. Factor -10*b**2 - 20*b**4 - 16 - 40*b - 14*b**3 - r*b**2 + 18*b**4.
-2*(b + 1)*(b + 2)**3
Factor 264/5*j + 0 - 2/5*j**2.
-2*j*(j - 132)/5
Suppose 5*j + 2*x + 652 - 701 = 0, 3*j = -17*x + 298. What is h in -h - 5 + 15/4*h**2 + 2*h**j + 1/4*h**4 = 0?
-5, -2, 1
Let t be -46 - (5 - -3)/1. Let r be (2/3)/((-72)/t). Find z, given that -1/2*z**3 + 0 + z**2 - r*z = 0.
0, 1