. Factor f(a).
a*(6*a - 7)/5
Let n(w) = 58*w**2 + 33*w + 69. Let q(j) = -46*j**2 - 32*j - 68. Let l(g) = 4*n(g) + 5*q(g). Factor l(y).
2*(y - 16)*(y + 2)
Let l = -77 - -80. Suppose -5 = -m, -l*h - 5*m + 16 = -15. Let 6*y**h + 235 - 117 - 3*y - 118 = 0. Calculate y.
0, 1/2
Factor 57*l - 44*l + 68*l - 3*l**2 + 0*l**2 + 12*l.
-3*l*(l - 31)
Let p(g) = -9*g + 10. Let m be p(0). Factor 19*n + 12*n**2 - 35*n + 0 - m - 6.
4*(n - 2)*(3*n + 2)
Factor 137*y + y**2 - 1394 + 890*y + 447*y - 81*y.
(y - 1)*(y + 1394)
Suppose 0 = -6*p + 257 - 47. Let x = 44 - p. Let -4*y**4 + 2*y**3 + 0*y**5 + 5*y**5 + x*y**4 - 12*y**3 = 0. Calculate y.
-2, 0, 1
Factor 180 - 45/2*a**2 + 159*a - 3/2*a**3.
-3*(a - 6)*(a + 1)*(a + 20)/2
Determine v so that 11 - 33/4*v**2 + 7/2*v**3 - 1/4*v**4 - v = 0.
-1, 2, 11
Let i(h) be the third derivative of -9/2*h**3 + 1/4*h**4 - 29*h**2 - 3/80*h**5 + 0*h - 1/240*h**6 + 0. Let r(v) be the first derivative of i(v). Factor r(j).
-3*(j - 1)*(j + 4)/2
Factor -2417*k - 13324 - 4*k**2 + 5*k + 7723 + 8017.
-4*(k - 1)*(k + 604)
Let l(j) = -2*j**3 + 29*j**2 - 57*j + 6. Let o(x) = x**3 + 9*x - 2. Let q(t) = l(t) + 3*o(t). Factor q(v).
v*(v - 1)*(v + 30)
Let x(o) = -o**2 - 13*o + 33. Let n be x(-15). Factor 40*l**3 - 77*l**n - 35*l**2 - 50*l + 32*l**3.
-5*l*(l + 2)*(l + 5)
Let l(u) be the first derivative of -33*u**2 + 594*u + 521. Let g be l(9). Let -5/4*m + g - 1/4*m**2 = 0. Calculate m.
-5, 0
Let b = -524 - -551. Determine x so that -b*x**2 + 46*x**2 - 24*x**2 - 83 + 4*x - 104*x - 12 = 0.
-19, -1
Let g = 1007955 + -11087497/11. Factor -10/11*i + 2/11*i**3 + 0 - g*i**2.
2*i*(i - 5)*(i + 1)/11
Let b(p) = 13*p**3 + 316*p**2 + 24648*p - 50559. Let k(l) = 17*l**3 + 316*l**2 + 24649*l - 50558. Let y(c) = -4*b(c) + 3*k(c). Factor y(s).
-(s - 2)*(s + 159)**2
Let f(z) be the second derivative of z**4/120 + 209*z**3/60 - 21*z**2/2 + 34*z - 9. What is a in f(a) = 0?
-210, 1
Suppose 687*w = 936*w - 249. Factor -1/4*o**3 - 5/4*o**2 - 2*o - w.
-(o + 1)*(o + 2)**2/4
Suppose 288*u = 193*u. Let j(m) be the first derivative of -5/3*m**3 + 5 + u*m + 0*m**2. Factor j(c).
-5*c**2
Let n be 1832/(-462) + 57/(-133). Let b = -11/3 - n. Factor b*k + 2/11*k**2 + 8/11.
2*(k + 2)**2/11
Let u(l) be the second derivative of l**6/720 + l**3/2 + l**2 - 3*l - 7. Let b(w) be the second derivative of u(w). Factor b(d).
d**2/2
Let v = 462 + -459. What is l in 2*l - 252*l**3 + 126*l**v - 50*l - 224*l**2 + 100*l**4 - 94*l**3 = 0?
-2/5, 0, 3
Suppose -18/5 + 4*v**2 - 16/5*v - 2/5*v**4 + 16/5*v**3 = 0. Calculate v.
-1, 1, 9
Factor -2313 - 52*i - 24*i**2 + 13*i**4 + 21*i**2 + 38*i**3 + 2317.
(i - 1)*(i + 2)**2*(13*i - 1)
Let o(c) = 3*c**3 - 25*c + 1. Let z(t) = 10*t**3 - 6412*t**2 - 50*t + 2. Let p(w) = 2*o(w) - z(w). Factor p(f).
-4*f**2*(f - 1603)
Let g(t) be the second derivative of 2*t**7/63 - 4*t**6/45 - 13*t**5/15 - 10*t**4/9 - 2*t - 390. Solve g(p) = 0.
-2, -1, 0, 5
Let m(a) be the third derivative of a**5/100 - 53*a**4/20 - 327*a**3/10 - 3*a**2 + 748. Determine o, given that m(o) = 0.
-3, 109
Let o(l) = 78*l**2 - 27*l + 2. Let z be o(22). Suppose -5947 - 8917 = -2*i + c, 2*c + z = 5*i. Factor -4161 + 5*x**3 + 608 - 195*x**2 + 2535*x - i.
5*(x - 13)**3
Suppose 152 = 6024*h - 2996*h - 2990*h. Suppose 46/3*y**2 + 14/3*y**3 - h - 10/3*y**4 + 10/3*y = 0. What is y?
-1, 2/5, 3
Let l = 509 + -507. Let t be 7 + l + (-220)/25. Find i such that -t + 1/5*i**2 + 0*i = 0.
-1, 1
Let o be (-9 - 0) + (-87 - -37 - -66). Solve o*g + 1/3*g**3 - 10/3 - 4*g**2 = 0 for g.
1, 10
Let u(q) be the second derivative of 5*q**7/252 + 149*q**6/12 + 297*q**5/8 + 2225*q**4/72 - 20*q - 169. Find g such that u(g) = 0.
-445, -1, 0
Solve 2/5*t**4 + 86/5*t**2 - 88/5 - 6*t**3 + 6*t = 0 for t.
-1, 1, 4, 11
Let a = -3921/13 + 11789/39. Find l, given that -14/3*l - 8 - a*l**2 = 0.
-4, -3
Let z be -23 + 2 + (-573)/(-27). Factor -14/9*o**3 + z*o**4 + 8/9 + 10/3*o**2 - 26/9*o.
2*(o - 4)*(o - 1)**3/9
Let t be (32/6)/((-4)/(-54)). Factor t*p - 12*p**2 - 84*p - 4 - 18*p**3 + 14*p**3.
-4*(p + 1)**3
Let n(y) be the second derivative of -1/10*y**4 + 1 + 1/75*y**6 + 1/50*y**5 + 2/5*y**2 - 1/15*y**3 + 7*y. Factor n(b).
2*(b - 1)**2*(b + 1)*(b + 2)/5
Let n be 16 - 1416/102 - (-2)/(-17). Let g(o) be the third derivative of 0*o**3 + 35*o**n + 0 + 3/160*o**6 + 0*o**4 + 0*o + 1/80*o**5. Factor g(v).
3*v**2*(3*v + 1)/4
Let c(y) = y**2. Let a(o) = -56*o**2 + 4816*o - 118336. Let r(w) = -5*a(w) - 35*c(w). Find p, given that r(p) = 0.
344/7
Let m(u) = u**3 + 6*u**2 - 8*u - 23. Let s be m(-5). Find o, given that 41 + s - 20*o - 23 - 5*o**3 - 35*o**2 = 0.
-6, -2, 1
Let c = 84 - 84. Suppose -6*n - 11*n + 170 = c. Let 5*t**2 + 2*t**4 - 3*t + n*t**3 - 7*t**4 + 0*t - 7*t = 0. Calculate t.
-1, 0, 1, 2
Suppose -22 = -i - 3*c, 0 = 3*i - c - 31 - 15. Let j be 1 - (4/i)/(2/8). Determine h so that -2/11*h**2 + 0 + j*h = 0.
0
Let p(k) be the second derivative of k**5/20 + 5*k**4/4 + 13*k**3/6 - 6*k**2 - 15*k. Let r be p(-14). Factor -10*m**3 - 7*m**3 + 10*m + 12*m**3 - 5*m**r.
-5*m*(m - 1)*(m + 2)
Let z(c) be the third derivative of c**6/180 + 5*c**5/9 - c**4/36 - 50*c**3/9 - 1256*c**2. Suppose z(v) = 0. What is v?
-50, -1, 1
Let x be (-2)/(-4) + (-7)/14. Suppose b + 5*l = -0*l + 55, x = -b - 4*l + 57. Solve -2*t**2 - 33*t + b*t - 28*t - 2*t**3 = 0.
-2, 0, 1
Let x be 378/22 - (-306)/(-18). Factor 4/11 - x*y**2 + 2/11*y.
-2*(y - 2)*(y + 1)/11
Let i be ((404/3535)/(4/14))/(7/546). Suppose -3/5*g**2 + i - 153/5*g = 0. Calculate g.
-52, 1
Let w(x) be the first derivative of x**4/4 - 5*x**3/3 + 4*x**2 - 4*x - 750. Factor w(k).
(k - 2)**2*(k - 1)
Let w(x) = x**3 + 615*x**2 + 25217*x + 344605. Let v = -96 + 98. Let g(n) = -n**3 + 615*n**2 + 25218*n + 344605. Let m(j) = v*g(j) - 3*w(j). Factor m(o).
-5*(o + 41)**3
Factor 193659*p - 186011*p - 2*p**2 - 3374643 - 3936845.
-2*(p - 1912)**2
Let d(s) = -2*s**3 - s**2 + 20*s + 39. Let w be d(-8). Suppose w = -9*u + 866. What is o in u - 9/2*o**3 - 3/2*o**4 + 9/2*o - 3/2*o**2 = 0?
-2, -1, 1
Suppose -5*k + 5*j = 35, 5*k + 43*j - 42*j = 19. Factor -c**k + 3/2 - 1/4*c**3 - 1/4*c.
-(c - 1)*(c + 2)*(c + 3)/4
Suppose -18*p + 320 = -2*p. Suppose 0 = -2*g + 10*a - 6*a + p, 0 = 5*g - 3*a - 15. Factor -1/3*f**3 + g - 1/3*f**2 + 0*f.
-f**2*(f + 1)/3
Suppose -3*t + 117 = 6*c, 0 = -5*c - 4*t - 112 + 223. Factor 33/2 - 3/2*x**2 - c*x.
-3*(x - 1)*(x + 11)/2
Let c(q) be the first derivative of 72*q**5/5 + 507*q**4/4 + 271*q**3 + 393*q**2/2 + 15*q + 280. Determine j so that c(j) = 0.
-5, -1, -1/24
Let y be ((-840)/(-1750))/(83/40 - 2) + (-4 - 0). Let -2/5*c**2 + 32/5 + y*c = 0. What is c?
-2, 8
Let u(j) = -10*j + 72. Let h be u(5). Factor -41 - 5*a**3 + h*a + 13*a + 71.
-5*(a - 3)*(a + 1)*(a + 2)
Let g(z) be the first derivative of -z**6/14 - 696*z**5/35 + 1401*z**4/28 - 234*z**3/7 - 2570. Factor g(f).
-3*f**2*(f - 1)**2*(f + 234)/7
Suppose -3*w = -6*w. Let f = -3536 - -3538. Factor w + 0*h + 32*h**2 + 10 - 37*h**f + 5*h.
-5*(h - 2)*(h + 1)
Suppose -8*u + 16*u - 32 = 0. Let p be 5/25*-2 + u + -3. Suppose 0 - p*n**2 + 3/5*n = 0. Calculate n.
0, 1
Let k(j) be the third derivative of -j**8/336 - 3*j**7/70 + j**6/30 + 3*j**5/5 - 2*j**2 - 1480*j. Solve k(s) = 0.
-9, -2, 0, 2
Let o be -3 + 52/12 + 8024/120. Let c = 69 - o. Factor -c*t**3 + 0*t + 0*t**2 + 0 - 4/5*t**4.
-4*t**3*(t + 1)/5
Let x(a) = a**4 + 691*a**3 + 2823*a**2 + 2109*a - 3. Let d(o) = 3*o**4 + 3453*o**3 + 14109*o**2 + 10547*o - 14. Let i(b) = 3*d(b) - 14*x(b). Factor i(g).
-5*g*(g - 141)*(g + 1)*(g + 3)
Suppose 100*o + 331*o**4 - 21*o**3 - 451*o - 125*o**4 + 129 + 279*o**2 - 115*o**4 - 127*o**4 = 0. What is o?
-43/12, 1
Let u(r) be the first derivative of r**6/12 + r**5 + r**4 - 80*r**3/3 - 96*r**2 - 1249. Let u(m) = 0. What is m?
-6, -4, 0, 4
Suppose 5*h = 140*g - 142*g + 40, -h + 73 = 3*g. Let i(z) be the second derivative of -8/9*z**3 - 8*z**2 + g*z + 0 - 1/27*z**4. What is j in i(j) = 0?
-6
Let m(h) be the second derivative of h**5/15 + 16*h**4/3 + 178*h**3/9 - 92*h**2 - 124*h + 13. Factor m(b).
4*(b - 1)*(b + 3)*(b + 46)/3
Let g(x) be the second derivative of 0*x**3 + 1/30*x**5 + 0 + 1/6*x**4 - 5*x - 6*x**2. Let z(y) be the first derivative of g(y). Factor z(m).
2*m*(m + 2)
Let f(k) = 53*k**2 - 12*k - 125. Let y(z) = 96*z**2 - 24*z - 252. Let j(p) = -9*f(p) + 5*y(p). 