 g(x).
3*x**3*(x - 2)*(x + 1)
Suppose -5*r - 2*v = -119 + 475, 4*r = v - 277. Let g = r + 94. Factor 30 + g - 54 - 4*l - 4*l**2.
-4*l*(l + 1)
Let z(m) = 13*m + 0*m**2 + m**3 - m**2 + 16*m**2 - 5. Let g be z(-14). Factor 13*p**2 - 2*p**4 + 4*p**3 + p**4 - 8*p**2 - g*p**2.
-p**2*(p - 2)**2
Let i be (2/5)/(66/3740) - 18. Find d such that -d**5 + 2*d**2 + 0 + 0*d + i*d**4 - 17/3*d**3 = 0.
0, 2/3, 1, 3
Let l(i) be the second derivative of i**5/90 - 29*i**4/6 + 841*i**3 + 102*i**2 - 205*i. Let w(v) be the first derivative of l(v). Factor w(z).
2*(z - 87)**2/3
Let s(f) = 183*f**3 - 2540*f**2 - 2779*f - 89. Let w(o) = 92*o**3 - 1269*o**2 - 1389*o - 43. Let p(x) = -5*s(x) + 11*w(x). Find a such that p(a) = 0.
-1, -2/97, 14
Suppose -27*l + 23*l - 1856 = 0. Let y = l + 466. Factor -3 - y*w - 1/3*w**2.
-(w + 3)**2/3
Let d(f) be the first derivative of -f**3/12 + 127*f**2/8 - 63*f/2 + 441. Factor d(v).
-(v - 126)*(v - 1)/4
Let d = -203 + 208. Let z be (-2 + d - 0)*8/12. Factor -6/7*l + 0 - 3/7*l**z.
-3*l*(l + 2)/7
Let u(p) be the third derivative of p**5/105 + 9*p**4/14 - 798*p**2. Solve u(k) = 0.
-27, 0
Let c(z) be the first derivative of -z**4/16 + 5*z**3/4 + 33*z**2/8 - 847*z/4 + 579. Factor c(f).
-(f - 11)**2*(f + 7)/4
Find f, given that f**3 + 6358 + 288*f + 31*f**2 + 75*f**2 + 749*f - 50*f**2 = 0.
-22, -17
Let j(r) be the third derivative of r**5/270 + 173*r**4/108 - 176*r**3/9 + 2*r**2 + 1816. Suppose j(v) = 0. What is v?
-176, 3
Let p be (-42)/364*(230/(-42) + 29/203). Let t be 0/((-1 + -1)/2). Factor p*w + 2/13*w**2 + t.
2*w*(w + 4)/13
Let u(k) be the second derivative of 0*k**5 + 0*k**4 + 0*k**2 - 6 - 38/105*k**6 - 3*k - 2/147*k**7 + 0*k**3. Let u(q) = 0. Calculate q.
-19, 0
Let d(u) = 91*u**3 - 538*u**2 + 288*u + 1087. Let n(i) = -44*i**3 + 268*i**2 - 144*i - 544. Let w(v) = 4*d(v) + 7*n(v). Solve w(k) = 0 for k.
-15/14, 3
Let p(q) be the second derivative of q**7/4200 - q**6/120 + q**5/8 - 7*q**4/12 - q**3/3 - 20*q. Let t(s) be the third derivative of p(s). Factor t(c).
3*(c - 5)**2/5
Determine k so that 390*k - 6*k**3 + 725 - 185 + 66*k - 15*k**3 + 51*k**2 = 0.
-2, 45/7
Let x(l) be the third derivative of 19*l**6/660 + 151*l**5/165 + 296*l**4/33 - 128*l**3/33 + 1024*l**2. Factor x(m).
2*(m + 8)**2*(19*m - 2)/11
Let u = 28409/6 - 4733. Let z(p) be the first derivative of -u*p**2 + 16 + 5/3*p - 1/12*p**4 + 7/9*p**3. Factor z(k).
-(k - 5)*(k - 1)**2/3
Let u(l) be the second derivative of -l**5/4 + 3245*l**4/2 - 4212010*l**3 + 5467188980*l**2 - 4588*l. Let u(r) = 0. What is r?
1298
Let a = -7795861/3003 + 28558/11. Let p = a + 16/91. Factor -p + 1/3*h**2 + 0*h.
(h - 1)*(h + 1)/3
Let m be (-217)/5 - 12*(-1)/(-12). Let g = m - -549/10. Factor -g*l**2 - 33/2*l - 15/2 - 3/2*l**3.
-3*(l + 1)**2*(l + 5)/2
Suppose -5*z + 45 = 5*j, 5*j - z - 6 - 69 = 0. Suppose 4*i - x - j = -i, 2*x - 5 = -i. Factor -3/2*h**2 - 3/2*h + 3*h**i + 0.
3*h*(h - 1)*(2*h + 1)/2
Let w(s) be the first derivative of 16/5*s**5 - 16/3*s**3 + 0*s + 6 + 5/3*s**6 + 4*s**2 - 9/2*s**4. Find c such that w(c) = 0.
-2, -1, 0, 2/5, 1
Determine k so that -4/9*k**4 - 22600/9*k + 480*k**2 - 248/9*k**3 + 38500/9 = 0.
-77, 5
Let c(w) be the first derivative of 49*w**6/18 + 406*w**5/15 + 27*w**4/2 - 2036*w**3/9 - 587*w**2/6 - 14*w - 3753. Let c(l) = 0. Calculate l.
-7, -3, -1/7, 2
Factor 87*s**2 - 70*s**3 + 94*s**3 - 15682*s + 30 + 15775*s.
3*(s + 1)*(s + 2)*(8*s + 5)
Let d(a) be the third derivative of a**5/270 + 47*a**4/108 - 50*a**3/9 - 4383*a**2. Determine o, given that d(o) = 0.
-50, 3
Let j(i) = 16*i + 866. Let g be j(-54). Let a be (-15)/(-25)*(-10)/(-4). Suppose a + 3/2*n**g + 15/4*n = 0. Calculate n.
-2, -1/2
Solve 1/2*g**3 - 29/2*g + 0 + 14*g**2 = 0.
-29, 0, 1
Let r(v) be the first derivative of -2*v**3/27 + 625*v**2/9 + 11696. Suppose r(k) = 0. Calculate k.
0, 625
Let d(i) be the second derivative of -i**4/36 - 35*i**3/9 + 400*i**2/3 - 8152*i. Factor d(p).
-(p - 10)*(p + 80)/3
Let r(y) be the first derivative of -10/9*y**3 + 4/9*y**4 - 1/15*y**5 + 4/3*y**2 - 26 - 11*y. Let w(x) be the first derivative of r(x). Factor w(d).
-4*(d - 2)*(d - 1)**2/3
Let m be ((-10)/(-3))/(10/15). Let x be (m/(-3))/(40/(-48)). Find h, given that h - h + h + h**x + 0*h = 0.
-1, 0
Let l be 30/(-4)*-1*140/7. Let i be ((-45)/l)/(9/(-12)). Let -i*q - 1/5*q**2 + 3/5 = 0. Calculate q.
-3, 1
Let t(q) = 5*q**3 - 495*q**2 + 6951*q + 7445. Let x(k) = -6*k**3 + 490*k**2 - 6952*k - 7444. Let v(h) = 2*t(h) + 3*x(h). Find r, given that v(r) = 0.
-1, 61/2
Let c(s) be the third derivative of -37*s**6/60 + 17*s**5/15 + s**4/4 + 72*s**2 - 5. Factor c(v).
-2*v*(v - 1)*(37*v + 3)
Determine k, given that 36*k - 56/5*k**3 + 96/5*k**2 + 4/5*k**5 - 8/5*k**4 - 216/5 = 0.
-3, -2, 1, 3
Let k(f) be the first derivative of 3*f**4/4 - 31*f**3 + 456*f**2 - 2880*f + 203. Factor k(o).
3*(o - 15)*(o - 8)**2
Let t = 327 - 303. Suppose t - 2*o**2 + 4*o**2 - 7*o + 23*o + 0*o**2 + 10*o = 0. What is o?
-12, -1
Suppose 0 = 5*a - 1029 - 2811. Factor -92*c**3 - 88*c**3 - a*c + 70*c**2 + 179*c**3 + 4096 - 22*c**2.
-(c - 16)**3
Let h(x) be the first derivative of 141 + 2/3*x**2 + 22/27*x**3 + 2/45*x**5 + 0*x + 1/3*x**4. Factor h(a).
2*a*(a + 1)*(a + 2)*(a + 3)/9
Suppose -7*u + 11 + 38 = 0. Suppose -13 - u = -5*t. Factor -8*l - 2*l**3 - 2*l**t + 8 - 108*l**2 + 102*l**2 + 7*l**3 + 3*l**3.
-2*(l - 2)**2*(l - 1)*(l + 1)
Factor -171 - 21/4*a + 3/4*a**2.
3*(a - 19)*(a + 12)/4
Let f(l) be the third derivative of 6*l**7/7 + 73*l**6/24 - 45*l**5/2 + 35*l**4/3 - 1196*l**2. Find q such that f(q) = 0.
-4, 0, 2/9, 7/4
Let m be (-10 - -16) + (-100)/24. Let r(z) be the second derivative of 0 - 5/2*z**2 - 19*z + m*z**3 + 1/20*z**5 - 7/12*z**4. Factor r(w).
(w - 5)*(w - 1)**2
Let y = -110 + 115. Factor y*d**3 - 2*d**2 + 3*d**3 + 4*d**3 + 2*d**4 + 2*d - 14*d**3.
2*d*(d - 1)**2*(d + 1)
Let p(k) be the second derivative of 5*k**4/48 - 1535*k**3/12 + 471245*k**2/8 - 692*k - 1. Factor p(y).
5*(y - 307)**2/4
Let c = -98641 - -292684/3. Let k = -22133/21 - c. Factor -75/7 + k*x - 108/7*x**2.
-3*(6*x - 5)**2/7
Suppose 235*h - 490*h = -238*h - 34. Factor h - 2*b - 3/2*b**2.
-(b + 2)*(3*b - 2)/2
Let q(j) = 6000*j - 4500014. Let i(n) = n**2 - 7. Let w(b) = -2*i(b) + q(b). Let w(c) = 0. Calculate c.
1500
Let w = -617681/3 - -205901. Factor -w*d**4 + 0 - 50/3*d**2 + 0*d + 70/3*d**3 + 2/3*d**5.
2*d**2*(d - 5)**2*(d - 1)/3
Let n(j) = 2*j**3 + 30*j**2 + 38. Let k be n(-15). Factor -251*m + k*m**3 + 206*m - 54 - 12*m**2 - 39*m**3.
-(m + 3)**2*(m + 6)
Let t(l) = l**2 + 2. Let v(g) = -5*g**3 - 58*g**2 - 205*g - 146. Let k(b) = 2*t(b) - v(b). Factor k(x).
5*(x + 1)*(x + 5)*(x + 6)
Let y be 8/(-12)*1 + 276/9. Let -66*t - 25 - 122*t**2 + 4 - 3*t**4 - y*t**3 + 50*t**2 = 0. What is t?
-7, -1
Let u(s) be the second derivative of -s**5/80 - 41*s**4/48 - 29*s**3/6 - 19*s**2/2 + 3242*s. Factor u(a).
-(a + 1)*(a + 2)*(a + 38)/4
Let u(g) = -6*g**3 + 150*g**2 - 6075*g + 91135. Let x(t) = 7*t**3 - 153*t**2 + 6075*t - 91137. Let i(f) = 6*u(f) + 5*x(f). Let i(m) = 0. Calculate m.
45
Suppose -2*m - 1049 = -2*o - 1033, 3*o - 38 = -4*m. Factor s**3 - 3/2 - s + m*s**2 - 1/2*s**4.
-(s - 3)*(s - 1)*(s + 1)**2/2
Let k(o) be the first derivative of -4/35*o**5 + 0*o - 32/21*o**3 + 62 + 9/7*o**4 + 0*o**2. Solve k(a) = 0.
0, 1, 8
Let h be (32 + (-780)/26)/(55/90). Factor -h + 8/11*g**2 - 6/11*g + 2/11*g**3.
2*(g - 2)*(g + 3)**2/11
Let f(r) be the first derivative of r**4/4 + 5*r**3/3 - 33*r**2/2 + 27*r + 432. Factor f(z).
(z - 3)*(z - 1)*(z + 9)
Let b(r) be the second derivative of -3*r**5/20 - 45*r**4/4 - 214*r**3 - 576*r**2 + 2525*r. Factor b(p).
-3*(p + 1)*(p + 12)*(p + 32)
Let v(r) = -3*r**4 + 3228*r**3 + 865092*r**2 - 1739892*r + 871527. Let j(h) = h**4 + h**2 + 6. Let s(g) = 6*j(g) + v(g). Factor s(p).
3*(p - 1)**2*(p + 539)**2
Suppose -17 = -3*l + 2*y - 4, -5*l + 3*y = -21. Suppose l*m - 52 = -23*m. Determine o so that 3/7*o**4 - 12/7*o + 9/7*o**3 + 0*o**m + 0 = 0.
-2, 0, 1
Let t(a) = -17*a**2 - 50*a - 49. Let o(f) = 20*f**2 + 50*f + 50. Suppose 85 = 33*d - 16*d. Let b(j) = d*t(j) + 4*o(j). Factor b(l).
-5*(l + 1)*(l + 9)
Determine a so that -1/7*a**2 + 176/7 + 40/7*a = 0.
-4, 44
Let x(b) = 232*b**3 + 250*b**2 - 722*b - 974. Let r(l) = 581*l**3 + 500*l**2 - 1443*l - 1947. Let i(q) = 4*r(q) - 10*x(q). 