 1, 2
Let d(n) = 10*n**2 + 1384*n + 700. Let m(y) = -51*y**2 - 6919*y - 3501. Let q(f) = -31*d(f) - 6*m(f). Factor q(j).
-2*(j + 347)*(2*j + 1)
Let f(s) be the third derivative of 0 - 7*s**2 + 0*s**4 - 1/2*s**3 + 0*s - 1/360*s**6 - 1/120*s**5. Let o(t) be the first derivative of f(t). Solve o(z) = 0.
-1, 0
Let m(b) = -b**3 - 9*b**2 + 19*b - 30. Let p be m(-11). Let t(v) be the second derivative of -13*v + 0*v**2 - 1/15*v**p + 1/60*v**4 + 0. Factor t(r).
r*(r - 2)/5
Let q(d) = 31*d**3 - 112*d**2 + 145*d + 9. Let p(a) = -7*a**3 + 27*a**2 - 36*a - 2. Let r(z) = 9*p(z) + 2*q(z). Factor r(u).
-u*(u - 17)*(u - 2)
Factor -222/7 - 447/7*z - 3/7*z**3 - 228/7*z**2.
-3*(z + 1)**2*(z + 74)/7
Let n(y) be the second derivative of -2*y**3/3 - 103*y**2 + 106*y. Let k be n(-52). Let 2/3 + 2*c - 8/3*c**k = 0. What is c?
-1/4, 1
Let g = 130768/5 - 26153. Factor 0*f**2 + 2/5 + 1/5*f**3 - g*f.
(f - 1)**2*(f + 2)/5
Let k(b) be the third derivative of -b**7/420 - 31*b**6/480 - 7*b**5/40 - b**2 - 287. Factor k(l).
-l**2*(l + 14)*(2*l + 3)/4
Let a(n) = -n**2. Let p(x) = -8*x**2 + x. Let b be (6/(-4))/(77/(-10) + 8). Let z(f) = b*p(f) + 35*a(f). Factor z(l).
5*l*(l - 1)
Let d = 332 - 321. Factor -1 + 18*s + 2*s**2 - 10 + 2 - d.
2*(s - 1)*(s + 10)
Determine r so that -2/7*r**5 + 12800/7*r - 12798/7*r**3 + 320/7*r**2 - 320/7*r**4 + 0 = 0.
-80, -1, 0, 1
Let w = 1188 - 1175. Let m(t) be the first derivative of -3*t - 3/4*t**2 - w + 1/2*t**3. Factor m(x).
3*(x - 2)*(x + 1)/2
Let n be ((-4)/20)/((-2)/((-100)/(-30))). Let f(d) be the first derivative of 8/5*d - 30 + 1/5*d**2 - n*d**3 + 1/20*d**4. Let f(u) = 0. Calculate u.
-1, 2, 4
Let b(c) be the first derivative of 2*c**5/25 + c**4 - 354*c**3/5 + 724*c**2 - 1240*c + 7114. Solve b(u) = 0.
-31, 1, 10
Let l(i) be the first derivative of -2*i**3/21 + 214*i**2/7 + 186*i + 4378. Factor l(b).
-2*(b - 217)*(b + 3)/7
Factor -385 - 14679*y**2 + 147*y**3 - 2288 + 7570*y + 4931*y.
3*(y - 99)*(7*y - 3)**2
Let o(h) be the second derivative of -h**8/84 + 6*h**7/35 - 4*h**6/5 + 4*h**5/3 + 79*h**2/2 + 33*h. Let v(d) be the first derivative of o(d). Factor v(c).
-4*c**2*(c - 5)*(c - 2)**2
Let c(v) be the second derivative of 23*v - 1/7*v**2 + 0 + 1/3*v**3 + 17/42*v**4 + 9/70*v**5. Factor c(o).
2*(o + 1)**2*(9*o - 1)/7
Suppose a + 95 = 20*a. Let o be a/((-325)/(-143)) - 6/(-20). Let -1/2*q**4 + o*q**3 + 2*q - 4*q**2 + 0 = 0. Calculate q.
0, 1, 2
Let l(i) = 8*i - 37. Let t be l(5). Factor n - n - n**t + 12*n - n**3 + n**4 - 8*n**2 - 3*n**3.
n*(n - 6)*(n - 1)*(n + 2)
Let 40*g - 446/5*g**2 - 44/5*g**4 + 0 - 1/5*g**5 + 291/5*g**3 = 0. What is g?
-50, 0, 1, 4
Let l(n) be the first derivative of 5*n**3/3 + 825*n**2 - 1308. Suppose l(p) = 0. What is p?
-330, 0
Solve -2832*a + 321*a**4 - 153*a**3 - 1368*a**2 + 336*a**4 + 325*a**4 - 979*a**4 = 0 for a.
-4, 0, 59
Let u = -248 + 336. Factor u*c - c**4 - 90*c + 0*c**4 + c**2 + 2*c**3.
-c*(c - 2)*(c - 1)*(c + 1)
Let f(y) be the third derivative of 0*y**3 - 272*y**2 + 0 + 1/360*y**6 + 0*y + 49/72*y**4 + 7/90*y**5. Let f(x) = 0. What is x?
-7, 0
Let m(a) = 5*a**4 - 84*a**3 + 102*a**2 + 91*a - 107. Let f(r) = 3*r**4 - 41*r**3 + 51*r**2 + 45*r - 54. Let t(u) = -7*f(u) + 4*m(u). What is h in t(h) = 0?
-50, -1, 1
Let d(i) be the first derivative of -i**3 - 27/2*i**2 + 30*i + 186. Find u, given that d(u) = 0.
-10, 1
Let v be ((-186)/(-155))/(-3) + (0 - -1). Factor 0*u + 0*u**3 - 3/5*u**4 + 0 + v*u**2.
-3*u**2*(u - 1)*(u + 1)/5
Let v(a) be the second derivative of a**4/32 - 1435*a**3/8 + 6177675*a**2/16 + 408*a + 8. What is o in v(o) = 0?
1435
Let i be 8 - 7/(-42)*-30. Suppose 5*v + 18 = 23, 0 = -3*p - i*v + 30. Factor -3/2*u**2 - p*u + 3/2*u**4 + 0 + 9*u**3.
3*u*(u - 1)*(u + 1)*(u + 6)/2
Factor -119/4*h - 285/2 - 1/4*h**2.
-(h + 5)*(h + 114)/4
Solve 17152/13*b - 24576/13 + 2/13*b**4 - 252/13*b**3 + 7674/13*b**2 = 0.
-3, 1, 64
Let w(n) be the first derivative of n**3 - 801*n**2/2 + 2376*n - 1984. Determine a, given that w(a) = 0.
3, 264
Let l be (3/9*-14)/(2/(-6)). Factor 40*y**2 + 3*y**5 + 6*y**5 - l*y**5 - 82*y**3 + 22*y**3 + 30*y**4.
-5*y**2*(y - 2)**3
Let q(y) = -105*y**4 + 2415*y**3 - 2225*y**2 + 170. Let n(v) = 5*v**4 - 115*v**3 + 106*v**2 - 8. Let u(g) = -85*n(g) - 4*q(g). Factor u(h).
-5*h**2*(h - 22)*(h - 1)
Determine o so that 4320*o - 4048 - 13611 + 642 + 185*o**4 + 5*o**5 - 263 + 10440*o**2 + 2330*o**3 = 0.
-12, -2, 1
Let d(h) be the second derivative of h**7/126 + 4*h**6/45 + h**5/60 - 23*h**4/18 - 10*h**3/9 + 28*h**2/3 - 2965*h. Suppose d(c) = 0. Calculate c.
-7, -2, 1, 2
Let m(t) be the first derivative of -147 - 52/15*t**3 + 33/10*t**2 + 2*t + 9/20*t**4. Determine o, given that m(o) = 0.
-2/9, 1, 5
Let t(r) be the first derivative of 20*r - 770*r**2 - 173 + 29645/3*r**3. Solve t(y) = 0.
2/77
Let s(r) = -3*r**4 - 27*r**3 + 51*r**2 - 3*r - 60. Let k(w) = w**4 + w**3 - 2*w**2 + 2*w + 1. Let x(z) = 6*k(z) + s(z). Find v such that x(v) = 0.
-1, 2, 3
Let s(i) = i**2 - i - 8. Let w(f) = 91204*f**4 - 179992*f**3 - 4824*f**2 - 24*f + 64. Let n(z) = 8*s(z) + w(z). Factor n(y).
4*y*(y - 2)*(151*y + 2)**2
Let j(p) be the second derivative of p**5/190 + 9*p**4/38 - 28*p**3/57 - 182*p - 8. Solve j(a) = 0.
-28, 0, 1
Let z(q) be the third derivative of -11/96*q**4 - 114*q + 0 - 1/12*q**3 - 17/240*q**5 - 1/80*q**6 - q**2. Suppose z(p) = 0. What is p?
-2, -1/2, -1/3
Let a = 211 + -207. Let s be (-319)/44 + 7 - (-1)/a. Factor 3/8*g**4 + 0*g + s - 3/8*g**3 + 0*g**2.
3*g**3*(g - 1)/8
Suppose -p + 2*z = 0, 4*p - 4*z - 10 + 2 = 0. Factor -10*m - 2*m**3 + 4 + m**p - 2*m - 4*m**3 + 13*m**2.
(m - 2)**2*(m - 1)**2
Let j be -34 + 30 + 2199/508. Let x = j - 10/127. Factor -x*a**2 + 1/2 + 1/4*a.
-(a - 2)*(a + 1)/4
Let k(v) be the first derivative of v**8/1008 + v**7/90 + 11*v**6/360 + v**5/36 + 109*v**2/2 + 27. Let a(r) be the second derivative of k(r). Factor a(j).
j**2*(j + 1)**2*(j + 5)/3
Let i be 0*(-1)/(-23 - -22). Suppose 7 - 12 = -o. Factor -5*p + o*p**2 - 5/4*p**3 + i.
-5*p*(p - 2)**2/4
Suppose t - 65 = 18. Factor -95*q**2 + 0*q + 34*q - 10*q**3 - 60 - 321*q + 5*q**4 + 64*q + t*q.
5*(q - 6)*(q + 1)**2*(q + 2)
Let d(t) = 2*t**2 - t. Let q(u) be the first derivative of -u**3 - 24*u**2 + 48*u + 264. Let b(w) = 3*d(w) + q(w). Determine a so that b(a) = 0.
1, 16
Suppose 3*g + 9 = 3*z, -4*z - g - 106 + 103 = 0. Factor z*q**4 - 2/3*q**5 + 0 + 0*q + 4/3*q**2 + 2*q**3.
-2*q**2*(q - 2)*(q + 1)**2/3
Find u, given that -255*u + 53341*u**4 - 53351*u**4 + 293*u**2 + 65*u**3 - 93*u**2 = 0.
-3, 0, 1, 17/2
Let q(f) be the third derivative of f**5/60 + 29*f**4/8 + f**2 + 4*f - 98. Factor q(w).
w*(w + 87)
Let s(x) be the first derivative of 2*x**3/33 + 32*x**2/11 + 414*x/11 - 42. Factor s(i).
2*(i + 9)*(i + 23)/11
Let x be ((-1)/6)/(2/(-10)). Let m be ((-212)/(-1060))/((-88)/50 + 2). Factor m*a**2 - 5/3 - x*a.
5*(a - 2)*(a + 1)/6
Let f(c) be the third derivative of c**5/20 - 9*c**4/4 + 17*c**3/2 - 6*c**2 - 19*c. Factor f(j).
3*(j - 17)*(j - 1)
Let m(b) be the first derivative of 3/16*b**2 - 1/12*b**3 + 0*b - 1/32*b**4 + 11. Suppose m(y) = 0. Calculate y.
-3, 0, 1
Let o(t) be the second derivative of t**6/180 + t**5 + 75*t**4 + 116*t**3/3 + 63*t - 3. Let y(a) be the second derivative of o(a). Factor y(k).
2*(k + 30)**2
Suppose -3*h - 1316 = -2*y, 2*h = -4*y - 1203 + 315. Let r = 889/2 + h. Find q, given that -3/2*q**4 + 3*q + 0 + 27/2*q**2 + 27/2*q**3 - r*q**5 = 0.
-1, -1/3, 0, 2
Suppose 10*c = -27 + 7. Let y = 4 - c. Find x such that y*x - 16 - 18*x + 3*x**2 + x**2 = 0.
-1, 4
Let m(a) = 11*a**2 - 1282*a - 2285. Let d(s) = -4*s**2 + 430*s + 762. Let j(k) = -17*d(k) - 6*m(k). Factor j(x).
2*(x + 2)*(x + 189)
Let d(r) be the first derivative of 1/18*r**4 + 0*r - 2/27*r**3 - 2/9*r**2 - 105. Solve d(s) = 0.
-1, 0, 2
Factor 26/3*z**2 - 2/3*z**3 - 64/3*z + 40/3.
-2*(z - 10)*(z - 2)*(z - 1)/3
Let m(w) = -15*w**2 - 42*w - 12. Let n be (9/(-4))/(9/(-36)). Suppose -n*u - 66 = 42. Let t(s) = -6*s**2 - 17*s - 5. Let k(v) = u*t(v) + 5*m(v). Factor k(f).
-3*f*(f + 2)
Let f be ((-2)/(-7))/(75/94850). Let d = 372 - f. Factor d + 6*b**2 + 2/3*b**3 + 16*b.
2*(b + 1)*(b + 4)**2/3
Let u(j) be the second derivative of -j**6/960 + j**5/120 - j**4/64 + 95*j**2/2 - 82*j + 2. Let x(i) be the first derivative of u(i). Factor x(r).
-r*(r - 3)*(r - 1)/8
Let p b