g(r). Factor d(q).
-2*(q - 2)*(q + 8)
Let l(a) be the third derivative of -7*a**6/240 - 149*a**5/120 + 77*a**4/8 + 12*a**3 - 1001*a**2 - 2*a. Factor l(f).
-(f - 3)*(f + 24)*(7*f + 2)/2
Let n(s) be the first derivative of -3*s**5/5 + 285*s**4/4 + 606*s**3 - 9780. Let n(f) = 0. Calculate f.
-6, 0, 101
Find c such that 65/2 + 59/2*c**2 - 2/3*c**3 - 412/3*c = 0.
1/4, 5, 39
Let g(v) = 15*v**3 - 73*v**2 + 288*v + 1684. Let a(h) = -16*h**3 + 72*h**2 - 288*h - 1680. Let j(u) = 11*a(u) + 12*g(u). Factor j(m).
4*(m - 12)**2*(m + 3)
Let z(j) be the third derivative of j**7/1365 + 149*j**6/195 + 19701*j**5/65 + 1940449*j**4/39 - 7880599*j**3/39 - 963*j**2 - 1. Factor z(v).
2*(v - 1)*(v + 199)**3/13
Let a be (48/(-20))/(135/50 - 3). Suppose k + a*g - 6*g + 3 = 0, -5*g = 5*k. What is c in 4/3*c**2 - 6/5*c - 2/5*c**k + 4/15 = 0?
1/3, 1, 2
Let h = -184136 + 1657226/9. Factor 2 - 10/3*w - h*w**3 + 14/9*w**2.
-2*(w - 3)**2*(w - 1)/9
Let g(b) be the second derivative of 3*b**5/25 - 473*b**4/10 + 236*b**3/5 + 55*b + 22. Find u such that g(u) = 0.
0, 1/2, 236
Factor -43*d**2 + 757*d + 9*d - 39*d**2 + 80*d**2.
-2*d*(d - 383)
Suppose 1024*i = 1013*i - 5379. Let w = 493 + i. Find q such that -w*q - 1/2*q**2 - 8 = 0.
-4
Suppose 504 - 9 = 15*q. Let y be ((-11)/q)/(3/(-27)). Factor -3*z + 1/3*z**y + 5/3 + z**2.
(z - 1)**2*(z + 5)/3
Let l(i) be the second derivative of 118*i - 529/4*i**2 - 1/24*i**4 + 23/6*i**3 + 0. Factor l(a).
-(a - 23)**2/2
Let v(n) be the first derivative of 5/3*n**3 + 0*n**2 + 0*n + 7 + 5/4*n**4. Factor v(r).
5*r**2*(r + 1)
Factor -428/7 + 1/7*l**2 + 61*l.
(l - 1)*(l + 428)/7
Factor -5*o**2 + 458 - 608 - 1283 - 147 - 800*o.
-5*(o + 2)*(o + 158)
Let q(t) = t**3 + 108*t**2 + 1238*t + 287. Let v be q(-95). Let 0*i - 1/4*i**4 + 0*i**3 - 1 + 5/4*i**v = 0. Calculate i.
-2, -1, 1, 2
Let q = -333 - -318. Let x(u) = 7*u + 109. Let l be x(q). Let 0 - 135/2*p**3 - 18*p**l + 0*p - 3/2*p**5 - 75*p**2 = 0. Calculate p.
-5, -2, 0
Let d(a) be the first derivative of -a**3/9 - 3379*a**2/3 - 11417641*a/3 - 10751. Factor d(j).
-(j + 3379)**2/3
Suppose -5*c + 407 = 107. Factor -c*m**3 - 10*m**4 - 12*m - 18*m**4 - 52*m**2 - 4*m**5 - 4*m.
-4*m*(m + 1)**3*(m + 4)
Let m(v) = v + 1. Suppose -l + g - 3 = -g, 23 = -4*l - 3*g. Let d be (5/2)/(l/(-20)). Let p(y) = -y**2 + 8*y + 3. Let k(c) = d*m(c) - 2*p(c). Factor k(n).
2*(n - 2)*(n - 1)
Let o = 1762742/3 + -587580. Solve o + 1/3*w**2 + 7/6*w - 1/6*w**3 = 0.
-1, 4
Solve 448*m + 232 + 356*m + 4583*m**2 - 9181*m**2 + 4570*m**2 = 0 for m.
-2/7, 29
Let m be 34425/(-471954) - 2/(-28). Let j = 1313/5949 - m. Suppose -4/9*a**2 + 0 - 2/9*a - j*a**3 = 0. What is a?
-1, 0
Let d = 36 + -77. Let v = -13 - d. Let g(r) = 44*r**3 - 28*r**2 - 160*r + 88. Let s(p) = 8*p**3 - 5*p**2 - 29*p + 16. Let q(j) = v*s(j) - 5*g(j). Factor q(o).
4*(o - 1)**2*(o + 2)
Let z be ((-333)/36 + 9)*-1. Let t(x) be the first derivative of z*x**2 + 0*x + 1/8*x**4 + 10 + 1/3*x**3. Factor t(y).
y*(y + 1)**2/2
Let g(y) be the first derivative of y**4/8 + 55*y**3/6 - y**2 - 110*y + 6813. Determine t so that g(t) = 0.
-55, -2, 2
Let q(s) be the third derivative of -7/36*s**4 - 16/315*s**7 - 97*s**2 - 1/126*s**8 + 0*s - 1/9*s**3 + 0 - 19/90*s**5 - 5/36*s**6. Factor q(o).
-2*(o + 1)**3*(2*o + 1)**2/3
Suppose 134*h + 104 = 243 + 397. Factor -384/5 + 6*u**3 + 416/5*u - 2/5*u**h - 168/5*u**2.
-2*(u - 4)**3*(u - 3)/5
Let q(k) be the third derivative of 0*k**4 + 0*k**5 + 0*k + 0*k**3 - 1/1176*k**8 + 5 + 3*k**2 + 1/735*k**7 + 0*k**6. Factor q(r).
-2*r**4*(r - 1)/7
Suppose 0*v = 2*f + 5*v - 2, -f + 4 = 4*v. Let t be (f/10)/((-28)/105). Factor -3/4*l**2 - 3/4 + t*l.
-3*(l - 1)**2/4
Let f be -11*18/(-297)*(-93)/(-1). Suppose 0 = -9*t - f + 80. Find c such that 25/8*c**5 - t*c**3 - 5/8*c**4 - 1/2*c**2 + 0 + 0*c = 0.
-2/5, 0, 1
Let v = 314 - 230. Suppose -o + v = 20*o. Determine s so that -21/2*s**o + s + 0 + 11/2*s**2 + 4*s**3 = 0.
-1/3, -2/7, 0, 1
Let u(d) be the second derivative of d**7/21 - 11*d**6/5 - 3*d**5/10 + 101*d**4/6 - 22*d**3 + 5*d. What is k in u(k) = 0?
-2, 0, 1, 33
Suppose 1/4*m**2 + 6*m - 25/4 = 0. What is m?
-25, 1
Let j = -182 - -202. Factor -j*f**3 + 24*f + 42*f**3 + 3*f**2 - 18*f**2 - 12 - 19*f**3.
3*(f - 2)**2*(f - 1)
Let p(c) be the second derivative of 0 - 40*c - 1/6*c**6 + 0*c**2 - 9/4*c**5 - 25/4*c**4 + 125/6*c**3. Find r, given that p(r) = 0.
-5, 0, 1
Find a, given that -646/11*a**4 + 0 - 2/11*a**5 + 644/11*a - 642/11*a**3 + 646/11*a**2 = 0.
-322, -1, 0, 1
Let v(q) be the second derivative of -q**5/4 + 310*q**4/3 - 2390*q**3 + 21240*q**2 - 10689*q. Factor v(u).
-5*(u - 236)*(u - 6)**2
Let m(o) be the first derivative of o**4/4 + 113*o**3/3 + 2891*o**2/2 - 17405*o + 2395. Find t such that m(t) = 0.
-59, 5
Let l(r) = -r**3 - 9*r**2 - 14*r + 6. Let z be l(-8). Let p be (8/(-10))/(z/(-450)). Factor -56/9*w - 2*w**3 - 16/9 - p*w**2.
-2*(w + 2)*(3*w + 2)**2/9
Let w be 0 + 2 + 3773/(-1859). Let i = 1168/507 - w. Factor -26/3*m - 8/3 + i*m**2.
(m - 4)*(7*m + 2)/3
Let i(y) = y**3 + 10*y**2 + 10*y + 14. Let x be i(-9). Let -5*b - b**4 - x*b**2 + 930 + 3*b**2 + b**3 - 928 + 5*b**2 = 0. Calculate b.
-2, 1
Let q = -3751 - -1350361/360. Let y(d) be the third derivative of 1/60*d**5 - 1/24*d**4 - q*d**6 + 1/18*d**3 + 0 + 0*d + 14*d**2. Find k, given that y(k) = 0.
1
Let r(b) be the second derivative of b**5/5 + 121*b**4/3 - 994*b**3/3 + 750*b**2 + 675*b. Determine l, given that r(l) = 0.
-125, 1, 3
Let t(u) be the first derivative of 1/18*u**6 + 216*u + 186*u**2 + 8/5*u**5 + 67/4*u**4 - 193 + 710/9*u**3. Factor t(p).
(p + 2)**3*(p + 9)**2/3
Let p(h) be the second derivative of -h**6/90 - 59*h**5/30 - 115*h**4/36 + 13*h**3 - 2378*h. Suppose p(u) = 0. Calculate u.
-117, -2, 0, 1
Suppose -158 = -10*j - 68. Let a be ((-10)/70)/(j/(-21)). Factor a*x**2 + 2/3*x + 1/3.
(x + 1)**2/3
Let t(j) = j**2 + 2*j - 3. Let i be t(4). Suppose i = -3*n + 27. Suppose 15*x + 10 + x**n - 5*x**4 + 0*x**4 - 6*x**2 - 15*x**3 = 0. What is x?
-2, -1, 1
Suppose -c - 2*y + 117 = 0, -4*c + 2*c - 3*y = -231. Let h = c - 108. Factor 2/7 - 2/7*b**h - 6/7*b + 6/7*b**2.
-2*(b - 1)**3/7
Let q(s) be the second derivative of s**4/90 - 43*s**3/15 + 856*s. Factor q(y).
2*y*(y - 129)/15
Let p be (-128)/(-6)*18/((-3996)/(-185)). Factor -34/9*b**2 - p*b - 2/9*b**3 - 128/9.
-2*(b + 1)*(b + 8)**2/9
Suppose 0 - 95/4*k**3 + 500*k**2 + 3125*k + 1/4*k**4 = 0. What is k?
-5, 0, 50
Let s(n) = 35 - 13*n**3 + 18*n - 33*n**3 + 45*n**3 - 15*n**2. Let i be s(-16). Determine o so that 1/2*o**2 + 3/4*o**i + 0*o + 0 - 1/2*o**4 = 0.
-1/2, 0, 2
Let p = 46 - 44. Suppose 4*q = 3*o + 6, -5*o - p + 9 = -q. Solve 3*i**3 + i**o - 5*i**3 + 4*i**2 - 7*i**2 = 0 for i.
-1, 0
Let 8/3*d + 0 - 8*d**2 + 10/3*d**4 + 2*d**3 = 0. What is d?
-2, 0, 2/5, 1
Factor 13*g**2 + 0*g - 1/2*g**3 + 0.
-g**2*(g - 26)/2
Let n = 6328/5455 + 218/5455. Suppose 1/5*f + 3/5*f**5 - 4/5*f**3 - 2/5 - 4/5*f**4 + n*f**2 = 0. Calculate f.
-1, -2/3, 1
Suppose 115*h - 129*h = 0. Let j(i) be the second derivative of h*i**3 - 4*i - 1/9*i**4 + 0*i**2 - 3/10*i**5 + 0. Factor j(x).
-2*x**2*(9*x + 2)/3
Factor -34/3*y**3 + 2/3*y**4 + 202/3*y**2 - 470/3*y + 100.
2*(y - 6)*(y - 5)**2*(y - 1)/3
Let c = -4 - -4. Suppose 4*m + c*j = j + 3, -4*j - 12 = m. Factor -5*f**3 + m*f**4 + 13*f**3 + 2*f**4 - 4*f**2 + 3*f**4.
f**2*(f + 2)*(5*f - 2)
Suppose 3*c - m = 6*c - 74, 5*c - 5*m = 150. Solve 11 - c + f**2 + 9 - f = 0 for f.
-2, 3
Let z(m) = 7*m**2 + 4. Suppose 4*s - 6*s = -2*b, 0 = -4*b + 2*s. Let p be z(b). Factor 0*k**3 + 0*k**2 + 2/3*k**5 + 0*k + 10/3*k**p + 0.
2*k**4*(k + 5)/3
Find z such that 311*z**2 + 180190*z**3 - 180500*z**3 + 53*z**2 - 2*z**5 - 52*z**4 = 0.
-14, -13, 0, 1
Factor 186/5*y - 72/5 - 123/5*y**2 + 9/5*y**3.
3*(y - 12)*(y - 1)*(3*y - 2)/5
Suppose 5*j - 2*j - 89 = -2*v, -j = -3*v - 15. Factor 17*z**4 + 4 + 15*z - j*z**4 + 5*z**5 - 4 + 10*z**2 - 20*z**3.
5*z*(z - 3)*(z - 1)*(z + 1)**2
Let t(y) be the third derivative of -y**7/420 + 11*y**6/12 - 5939*y**5/60 - 2035*y**4/4 - 4107*y**3/4 + 11219*y**2. Factor t(f).
-(f - 111)**2*(f + 1)**2/2
Let b(f) be the first derivative of -f**6/24 - f**5/12 + 25*f**4/6 + 2*f**2 + 64. Let p(w) be the second derivative of b(w). Suppose p(y) = 0. What is y?
-5, 0, 4
Let m(h) be the first derivative of -5*h**3/3 + 225*h**2/2 + 470*h +