**2 - 3225/4*i + 1206.
-(i - 536)*(i - 3)**2/4
Let p(x) be the first derivative of 4*x**5/5 - 40*x**4 - 172*x**3/3 + 164*x**2 - 1558. Factor p(a).
4*a*(a - 41)*(a - 1)*(a + 2)
Suppose 1337*f**3 - 497*f - 930 - 2509*f**3 + 1173*f**3 - 14*f**2 = 0. What is f?
-15, -2, 31
Factor -1250/11 - 190/11*w**2 - 850/11*w - 14/11*w**3.
-2*(w + 5)**2*(7*w + 25)/11
Let d(u) be the third derivative of -u**7/6300 - 7*u**6/360 + 5*u**4/4 + 4*u**2 - u. Let r(k) be the second derivative of d(k). Factor r(g).
-2*g*(g + 35)/5
Let m be ((-33)/45)/((-5)/3795). Let u = m - 555. Let -2/5*j**2 - 8/5*j - u = 0. Calculate j.
-2
Let w(k) be the second derivative of -3/100*k**5 - 71*k - 1/10*k**3 - 1/10*k**4 + 0 + 0*k**2. Factor w(x).
-3*x*(x + 1)**2/5
Let y = -28 - -30. Find q such that 3*q**3 + 9 + 101*q - 63*q - 41*q - 9*q**y = 0.
-1, 1, 3
Let d(r) = -2*r**3 - 26*r**2 + 3*r + 41. Let f be d(-13). Factor 23*s - 54 - 5*s**2 - 23*s + s**3 + 19*s**f - 42*s + s**3.
2*(s - 3)*(s + 1)*(s + 9)
Let q be (1 + 0)*(2 - 12). Let n = -7 - q. Determine l so that -8*l + 6*l**2 - 17 - 3*l**3 + n*l + 17*l - 7 = 0.
-2, 2
Let p = 176285 - 1057709/6. Let -p*a**2 + 3/4*a**5 + 1/4 + 5/4*a**4 + 13/12*a - 19/6*a**3 = 0. What is a?
-3, -1/3, 1
Suppose 8/3*o**3 + 5/3*o**2 - 14/3*o + 1/3*o**4 + 0 = 0. Calculate o.
-7, -2, 0, 1
Let y(b) be the third derivative of -1/270*b**6 + 4*b**2 - 20*b + 5/27*b**3 - 1/945*b**7 - 7/54*b**4 + 0 + 2/45*b**5. Factor y(a).
-2*(a - 1)**3*(a + 5)/9
Let g = -1135 + 2138. Let f = -2005/2 + g. Factor 1/2*r + f*r**2 - 3.
(r - 2)*(r + 3)/2
Let r be 4*(-56)/24 + (-130)/(-28 + 15). Let r*d**2 + 92/3 - 50/3*d = 0. Calculate d.
2, 23
Let q(i) be the first derivative of -2/75*i**6 - 8*i + 0*i**2 - 1/30*i**4 + 9/100*i**5 + 21 + 0*i**3. Let t(a) be the first derivative of q(a). Factor t(j).
-j**2*(j - 2)*(4*j - 1)/5
Suppose -15181*f + 15471*f - 4*f**3 + 3*f**3 - 19*f**2 = 0. Calculate f.
-29, 0, 10
Suppose -5*r = -4*t + 573, -5*r + 105 = -6*r + 4*t. Let d be ((-26)/6)/(r/54). Factor -6/5*c**d + 9/5*c - 3/5*c**3 + 0.
-3*c*(c - 1)*(c + 3)/5
Let v(h) be the third derivative of -5/3*h**4 - 7/20*h**5 + 0*h + 4 - 4*h**2 + 2/3*h**3. Suppose v(f) = 0. What is f?
-2, 2/21
Let h(z) be the third derivative of -1/20*z**6 + 1/30*z**5 + 1/168*z**8 + 0 - 1/105*z**7 + 0*z**3 + 0*z + 80*z**2 + 1/6*z**4. Factor h(b).
2*b*(b - 2)*(b - 1)*(b + 1)**2
Let z(u) be the second derivative of -u**6/10 - 15*u**5/4 - 67*u**4/2 - 64*u**3 + 432*u**2 - 52*u. Find q such that z(q) = 0.
-18, -4, 1
Let a(r) be the second derivative of -r**5/4 - 65*r**4/12 + 40*r**3/3 + 70*r**2 + 99*r - 1. Factor a(d).
-5*(d - 2)*(d + 1)*(d + 14)
Let q(n) be the second derivative of -n**5/5 + 20*n**4/3 + 8*n**3/3 - 160*n**2 - 301*n. Factor q(k).
-4*(k - 20)*(k - 2)*(k + 2)
Let i(h) = 74*h - 8. Let z be i(-4). Let d = 1521/5 + z. Let 36/5 - 12/5*c + d*c**2 = 0. Calculate c.
6
Suppose -2*t = -2*j - 8, 8*t - 3*j = 3*t + 20. Let a(g) be the second derivative of -12/7*g**2 - 8*g - 2/21*g**3 + 0 + 1/21*g**t. Factor a(k).
4*(k - 3)*(k + 2)/7
Let p(i) be the first derivative of 2/15*i**3 - 1/5*i**5 - 3/10*i**4 - 1/30*i**6 + 7/10*i**2 + 3/5*i - 210. Let p(c) = 0. What is c?
-3, -1, 1
Let u(m) be the third derivative of -m**6/90 + 793*m**5/45 - 156815*m**4/18 - 315218*m**3/9 - 812*m**2. Find w, given that u(w) = 0.
-1, 397
Factor 840*h + 9/2*h**5 - 696*h**2 + 284*h**3 - 400 - 57*h**4.
(h - 2)**3*(3*h - 10)**2/2
Let h = -67715 - -67717. Factor -h*l + 0 + 1/4*l**5 + l**4 - 3/4*l**3 - 7/2*l**2.
l*(l - 2)*(l + 1)**2*(l + 4)/4
Factor -1/3*r**2 + 0 - 5*r.
-r*(r + 15)/3
Let w(o) be the first derivative of -o**4 + 368*o**3 - 550*o**2 + 6399. Find d such that w(d) = 0.
0, 1, 275
Factor 1/2*q**2 - 7/2 + 1/8*q**3 - 25/8*q.
(q - 4)*(q + 1)*(q + 7)/8
Let i(m) = -5*m**2 - 5813*m + 5746. Let g(s) = s**2 + 1451*s - 1436. Let y(v) = -18*g(v) - 4*i(v). Determine n so that y(n) = 0.
1, 1432
Let x(r) be the first derivative of 73*r**2/2 - 73*r - 169. Let t be x(1). Factor t + 6/17*m**3 - 2/17*m**4 - 4/17*m**2 + 0*m.
-2*m**2*(m - 2)*(m - 1)/17
Let y be (-462)/(-99)*21/49. Factor -16/3 + 8/3*b - 10/3*b**3 + 4*b**y + 2/3*b**4.
2*(b - 2)**3*(b + 1)/3
Let f(d) be the third derivative of 0*d**3 + 64*d**2 + 1/42*d**7 + 0*d + 0 - 7/24*d**6 + 0*d**4 - 2/3*d**5. Let f(h) = 0. What is h?
-1, 0, 8
Suppose 18*z - 516 = -426. Let u(t) be the first derivative of -21 + 1/4*t**4 - z*t + 11/2*t**2 - 7/3*t**3. Factor u(j).
(j - 5)*(j - 1)**2
Let c(b) = -b**2 + 12*b + 33. Let k be c(12). Let t be (3/(-5))/(k/(-110)). Factor -6/7 - 1/7*a**t - 5/7*a.
-(a + 2)*(a + 3)/7
Let j(l) be the third derivative of -l**7/1960 + l**6/210 + l**5/56 + 58*l**3/3 - 122*l**2. Let t(u) be the first derivative of j(u). Factor t(f).
-3*f*(f - 5)*(f + 1)/7
Let x(t) be the second derivative of -2*t**5/15 - 40*t**4/3 - 79*t**3/3 - 59*t**2/3 - 940*t - 2. Factor x(y).
-2*(y + 59)*(2*y + 1)**2/3
Solve 21300*n + 760*n**2 + 19*n**4 - 26*n**4 - 3*n**4 - 195*n**3 + 23040 + 2700*n + 15*n**4 = 0.
-8, -1, 24
Solve -5*l**4 - 6 - 8929*l**2 - 240*l + 8669*l**2 - 80*l**3 + 6 = 0.
-12, -2, 0
Determine b, given that 276*b**2 + 25935/2*b + 24843 + 3/2*b**3 = 0.
-91, -2
Let b(x) be the first derivative of x**5/12 + 15*x**4/8 + 20*x**3/3 + 40*x**2 - 47. Let z(v) be the second derivative of b(v). Factor z(n).
5*(n + 1)*(n + 8)
Let u(w) = -4*w**4 + 12*w**3 - 10*w. Let i(r) = 5*r**4 - 10*r**3 + r**2 + 7*r. Let m(k) = 2*i(k) + 3*u(k). Find t such that m(t) = 0.
-1, 0, 1, 8
Let u(k) = 6*k**3 - 50*k**2 + 212*k - 4. Let f(m) = 5*m**3 - 48*m**2 + 214*m - 3. Let p(b) = -4*f(b) + 3*u(b). Factor p(i).
-2*i*(i - 11)*(i - 10)
Let j = 170210/7 - 24314. Factor -22/7*x + 2/7*x**3 + j + 8/7*x**2.
2*(x - 1)**2*(x + 6)/7
Let v(n) be the third derivative of n**7/840 - 3*n**6/80 + 31*n**5/240 + 3*n**4/16 - 4*n**3/3 - 6*n**2 + 3. Let v(x) = 0. What is x?
-1, 1, 2, 16
Factor -2656*q**2 - 6639*q**2 - 6203396472 - 968*q**2 + 14607684*q - 1203*q**2 + 5*q**3 - 2*q**3.
3*(q - 1274)**3
Suppose 2*v + 1 = 3. Let j be -6*v/(0 + -3). Let o(a) = a**5 + a**4 + a. Let k(u) = u**5 - 3*u**4 + 8*u**2 + 3*u. Let s(t) = j*k(t) - 6*o(t). Factor s(z).
-4*z**2*(z - 1)*(z + 2)**2
Let g be (52780/(-490) - -114)/(2/4 - 0). Determine r so that 12 - g*r + 4/7*r**2 = 0.
1, 21
Let i = -2/302517 + 302527/1512585. Factor -i*o**3 + 0*o**2 + 0*o + 0 - 1/5*o**4.
-o**3*(o + 1)/5
Find k such that -48*k**2 - 3*k**3 + 8*k**3 + 5*k**3 + 59494*k**5 + 26*k**4 + 10*k**3 - 59492*k**5 = 0.
-12, -2, 0, 1
Let j(a) be the third derivative of a**7/525 + 43*a**6/200 - 11*a**5/50 - 13*a**4/24 - 242*a**2 + 4. Factor j(x).
x*(x - 1)*(x + 65)*(2*x + 1)/5
Let f(v) be the first derivative of 4*v**3 + 0*v**2 - 12*v**4 + 21/5*v**5 + 0*v - 31. Find m, given that f(m) = 0.
0, 2/7, 2
Let t be -1*7/(-6) - ((-100)/30 - (-89 - -85)). Determine f so that -t*f**2 + 24*f + 0 = 0.
0, 48
Let c be (3 + -3)/(((-3)/(-5))/(5/(-25))). Let v(d) be the second derivative of 0 - 2/25*d**6 - 3*d + c*d**2 - 4/3*d**4 - 14/25*d**5 - 16/15*d**3. Factor v(y).
-4*y*(y + 2)**2*(3*y + 2)/5
Factor -3/2*l**3 + 0 - 84*l - 27*l**2.
-3*l*(l + 4)*(l + 14)/2
Factor -1/7*u**2 - 10/7*u**3 + 10/7*u + 1/7*u**4 + 0.
u*(u - 10)*(u - 1)*(u + 1)/7
Determine m, given that -32/3*m + 24*m**2 - 56/3*m**3 + 0 + 6*m**4 - 2/3*m**5 = 0.
0, 1, 2, 4
Suppose -2*d - 18 = -4*o, -7*o + 18 = -2*o - d. Let b(r) be the first derivative of -12*r + r**3 - 21 + 2*r**o - 2*r**3. Find t such that b(t) = 0.
-2, 2
Let w(c) = c - 6. Let z be w(7). Let r be z/(-4) - 330/(-40). Factor -1 + 3 - r + 8*f - 2*f**2.
-2*(f - 3)*(f - 1)
Let v be (-1)/(-52)*6*(-12 - (-200)/15). Let t(r) be the first derivative of v*r**3 - 1/26*r**4 + 0*r - 2/13*r**2 - 20. Determine a, given that t(a) = 0.
0, 1, 2
Determine l so that -2/3*l**3 + 4406/3*l**2 - 809602*l + 808134 = 0.
1, 1101
Let n(a) = -11*a**2 + 3*a**2 - a**3 + 18 - 6*a**2 - 13*a. Let z be n(-13). Factor 36*g**2 - 24*g - 5 + 3*g**4 - z*g**3 - 4 + 9.
3*g*(g - 2)**3
Let i be -9 - (-3 - -2) - (-30 + 22). Let p(s) be the third derivative of -1/420*s**6 + i*s**3 + 1/84*s**4 + 0*s**5 + 0*s + 8*s**2 + 0. Solve p(w) = 0.
-1, 0, 1
Factor -3/5*g + 15*g**2 - 15 + 3/5*g**3.
3*(g - 1)*(g + 1)*(g + 25)/5
Let j(c) be the second derivative of -c**4/4 + 709*c**3 - 1508043*c**2/2 - 2458*c. Find a such that j(a) = 0.
709
Let p(a) = -27*a**2 - 1