5*p**2 - 4/5*p + 4/5.
(p - 2)*(p - 1)*(p + 2)/5
Let o(f) be the first derivative of -f**3/3 + f**2 + 3*f + 211. Factor o(l).
-(l - 3)*(l + 1)
Suppose 13*q + 213 = 889. Let i be (-4)/((q/(-39))/1). Factor 4/5*z**i + 0 + 2/5*z - z**2 - 1/5*z**4.
-z*(z - 2)*(z - 1)**2/5
Let f(w) = -w**3 - 3*w**2 + 15*w - 9. Let c = 1095 - 1097. Let u(h) = -2 - 6*h**2 + 30*h + 0*h**3 - h**3 - 16. Let m(q) = c*u(q) + 5*f(q). Factor m(x).
-3*(x - 1)**2*(x + 3)
Let m be 0/(35/(-14)*(-48)/40). Let b(t) be the third derivative of -2*t**2 + m*t + 0 - 1/270*t**5 + 1/27*t**3 + 0*t**4. Factor b(y).
-2*(y - 1)*(y + 1)/9
Let t(u) be the first derivative of u**4/6 + 9*u**3 - 28*u**2 - 110*u + 56. Let f(j) be the first derivative of t(j). What is m in f(m) = 0?
-28, 1
Let f(c) be the second derivative of c**2 + 135*c + 1/30*c**5 - 1/6*c**4 - 1/9*c**3 + 0. Factor f(v).
2*(v - 3)*(v - 1)*(v + 1)/3
Let r(a) = 4*a**2 - 10. Let p be 0/((-16)/4) - 3. Let f be r(p). What is h in 5*h**4 + 34 + 10*h**3 + f - 10*h - 45*h**2 - 20 = 0?
-4, -1, 1, 2
Let r(q) be the third derivative of q**8/672 + 13*q**7/1260 - 29*q**6/360 - 43*q**5/90 - q**4/18 + 8*q**3/3 + 5413*q**2. Suppose r(j) = 0. Calculate j.
-6, -2, -1, 2/3, 4
Let m(h) = 34*h**3 + 380*h**2 - 962*h + 292. Let t(a) = 12*a**3 + 127*a**2 - 321*a + 98. Let z(l) = -3*m(l) + 8*t(l). Factor z(k).
-2*(k - 2)*(k + 23)*(3*k - 1)
Factor 190/9 + 374/9*k**2 - 568/9*k + 4/9*k**3.
2*(k - 1)*(k + 95)*(2*k - 1)/9
Let w be -4 + 46/2 + -4. Let r be -2 - ((-192)/33 + (-2)/11). Factor -12*y**4 + 13*y**3 + w*y**r - 6*y**3 - 4*y.
y*(y + 1)*(y + 2)*(3*y - 2)
Let o(k) = -k**2 - 4*k - 1. Let c be o(-2). Factor 2 + 3 + 3 - z**2 + 11*z**2 - 16*z - 2*z**c.
-2*(z - 2)**2*(z - 1)
Let c(q) = 11*q**2 + 2816*q + 394799. Let g(r) = 2*r**2 + 2*r - 2. Let z(y) = c(y) - 3*g(y). Solve z(x) = 0 for x.
-281
Let q = 358 - 326. Suppose -q*n + 7*n + 125 = 0. Solve 0*r**3 - 5/2 + n*r**2 + 0*r - 5/2*r**4 = 0 for r.
-1, 1
Let z = -19/9 - -20/9. Let v be (7/(-1176)*16)/((-3)/7). Factor -v*c**3 + 0*c**2 + 2/9*c + 1/9 - z*c**4.
-(c - 1)*(c + 1)**3/9
Let h(c) be the first derivative of c**6/24 - 19*c**5/20 + 27*c**4/16 + 213*c**3/4 + 81*c**2 - 324*c + 1447. Let h(o) = 0. What is o?
-3, 1, 12
Suppose -5*r + 2 = -4*r, -3*r - 678 = -3*c. What is i in -25*i**2 + 488 + 115*i - c - 210 = 0?
-2/5, 5
Let -2/3*j**2 - 112/3*j - 1568/3 = 0. Calculate j.
-28
Let 670*q**3 - 668*q**3 - 4*q**5 - 1126*q**3 - 920*q**2 - 208*q**4 = 0. Calculate q.
-46, -5, -1, 0
What is g in 90 - 1/5*g**3 - 223/5*g - 226/5*g**2 = 0?
-225, -2, 1
Let v(h) be the first derivative of 506530/7*h**3 + 111/7*h**5 + 208031871/7*h - 1/14*h**6 - 20535/14*h**4 - 28112415/14*h**2 - 188. Let v(i) = 0. Calculate i.
37
Let r(k) be the first derivative of k**7/2100 + k**6/225 - k**5/20 - 3*k**4/10 + 14*k**3 - 191. Let w(q) be the third derivative of r(q). Factor w(g).
2*(g - 3)*(g + 1)*(g + 6)/5
Let t(y) be the second derivative of 2 - 18/5*y**5 - 2/21*y**7 - 16/15*y**6 + 110*y - 16/3*y**4 + 0*y**2 - 10/3*y**3. Factor t(o).
-4*o*(o + 1)**3*(o + 5)
Suppose 4*h - 94 = 6. Suppose -5*m = -5*x + h, -4*m - 6 = -3*x + 12. Factor 0 - 12/5*r + 3/5*r**x.
3*r*(r - 4)/5
Let u(h) be the third derivative of h**7/1260 - h**6/360 - h**5/10 - h**4/12 + h**3/2 - 6*h**2 + 2*h. Let m(z) be the second derivative of u(z). Factor m(f).
2*(f - 3)*(f + 2)
Let t(b) = -b**3 - 10*b**2 - 21*b + 4. Let u(g) = g**3 + 10*g**2 + 20*g - 5. Let y = 106 - 102. Let x(o) = y*u(o) + 5*t(o). Factor x(q).
-q*(q + 5)**2
Suppose 4*l - 502 = -3*s, -2*s + 547 = 3*l + 170. Let h = l - -257. Factor 388*n**4 + 26*n**3 - h*n**4 + 22*n**3 + 144*n**2.
4*n**2*(n + 6)**2
Let j(p) be the second derivative of 0*p**2 + 0 + 0*p**3 - 20*p + 1/90*p**6 + 0*p**5 - 1/36*p**4. Suppose j(r) = 0. Calculate r.
-1, 0, 1
Let m(n) be the first derivative of 3/8*n**2 - 9/4*n**3 - 127 + 27/4*n - 3/16*n**4. Factor m(c).
-3*(c - 1)*(c + 1)*(c + 9)/4
Let j be (-1 + 24/10)/(183/915). Suppose -5*q = -25, -j*p + q = -8*p + 7. Let -p*r + 0 + 1/4*r**2 = 0. What is r?
0, 8
Let n(x) be the first derivative of x**6/39 + 16*x**5/65 - x**4 - 344*x**3/39 + 385*x**2/13 - 392*x/13 + 2218. Find s, given that n(s) = 0.
-7, 1, 4
Let z(s) be the third derivative of 1/180*s**5 + 24 + 5/18*s**3 + 0*s + 6*s**2 + 1/12*s**4. Suppose z(w) = 0. What is w?
-5, -1
Factor 4769852 + 162989 - 183*b**2 + 184*b**2 - 4442*b.
(b - 2221)**2
Let j(h) = 2*h**2 - 128*h - 396. Let v be j(-3). Factor -v*q**2 - 28*q - 98/3.
-2*(3*q + 7)**2/3
Let y(g) be the third derivative of -4*g**8/21 - 176*g**7/105 + 287*g**6/30 - 254*g**5/15 + 79*g**4/6 - 16*g**3/3 + 5931*g**2. Find d such that y(d) = 0.
-8, 1/4, 1
Suppose -31*s = -214 + 3004. Let y be (-52)/(-234) - (-8)/s. Factor 2/15 + 0*z - y*z**2.
-2*(z - 1)*(z + 1)/15
Suppose -2*s + 85 = 3*s - 5*o, 4*s + o - 63 = 0. Suppose -880*p - s = -888*p. Solve 27/4*g**5 + 3 + 171/4*g**p + 201/4*g**3 + 117/4*g**4 + 18*g = 0.
-1, -2/3
Let r be (-100)/144 - (-9)/24*2. Let g(x) be the first derivative of 73/9*x**3 - 43/12*x**4 - 28/3*x**2 + 6 - r*x**6 + 11/15*x**5 + 16/3*x. Factor g(v).
-(v - 4)**2*(v - 1)**3/3
Let j(o) = 3*o**2 - 46*o + 60. Let i be j(14). Factor -5*k**4 + 3*k**i - 9*k**2 + 8*k + 4*k**2 + 4*k**3 + 19*k**2.
-2*k*(k - 4)*(k + 1)**2
Factor 12*b**3 + 342/7*b**2 + 6/7*b**4 - 96 + 240/7*b.
6*(b - 1)*(b + 4)**2*(b + 7)/7
Suppose 3322 = -368*i + 4058. What is w in -2/5*w**i - 42/5 - 4*w = 0?
-7, -3
Let z(l) be the third derivative of -5*l**8/168 + 25*l**7/42 - 9*l**6/4 - 175*l**5/12 + 245*l**4/12 - 3*l**2 - 14*l. Determine a, given that z(a) = 0.
-2, 0, 1/2, 7
Let r(b) be the third derivative of b**2 + 1/315*b**7 + 0*b**5 - 32*b + 0 + 0*b**4 + 0*b**3 + 1/120*b**6 - 1/1008*b**8. Factor r(f).
-f**3*(f - 3)*(f + 1)/3
Let d(i) be the third derivative of i**6/120 + 7*i**5/20 + 73*i**4/12 + 56*i**3 - 7197*i**2. Factor d(z).
(z + 6)*(z + 7)*(z + 8)
Factor -4342/5*k + 4344/5 - 2/5*k**2.
-2*(k - 1)*(k + 2172)/5
Let d be ((-2)/(-5)*-1)/(-2)*(-97250)/(-1167). Suppose -8 + d*r - 2*r**3 + 68/3*r**2 = 0. Calculate r.
-1, 1/3, 12
Suppose 0 = 13*c - 92 + 66. Let z(l) = 2*l. Let a be z(1). Solve 10 - 12 + 5*n - 5*n + c*n**a = 0 for n.
-1, 1
Suppose -4*r - 5 = y, 57 - 58 = -3*y - 4*r. Find f, given that 7/3*f**y + 0 - 5*f**2 + f**4 - 6*f - 1/3*f**5 = 0.
-2, -1, 0, 3
Let i(a) be the second derivative of -a**6/900 + a**5/300 + a**4/10 + 28*a**3 + 2*a + 50. Let d(y) be the second derivative of i(y). Factor d(p).
-2*(p - 3)*(p + 2)/5
Let z be (-1 - 51/(-57)) + (-156)/(-38). Let u be (1 - 7/4)*-4. Factor v**u - 4*v**z + 20*v + 16 - 2*v**3 - 9*v + 12*v**2 - 14.
-(v - 2)*(v + 1)**2*(4*v + 1)
Let d(a) = -6*a**2 + 115*a - 16. Let j be d(19). Let c(q) be the first derivative of -j*q + 15 + 3/4*q**2 + 1/2*q**3. Factor c(x).
3*(x - 1)*(x + 2)/2
Suppose -1077 + 1051 = 4*f + 7*g, 0 = -2*f - 4*g - 16. Determine m so that 10/17*m**3 + 0*m + 0 - 2/17*m**f - 12/17*m**2 = 0.
0, 2, 3
Let r = -32 + 45. Factor 25927*u**2 - r - 25943*u**2 - 19 + 40*u + 2*u**3.
2*(u - 4)*(u - 2)**2
Let k(f) be the second derivative of -f**4/12 + f**3/6 + 6*f**2 + 510*f. Factor k(u).
-(u - 4)*(u + 3)
Let x = 330211 + -330207. Factor 0 - 25/2*b**3 - 35/2*b**2 - 15/2*b - 5/2*b**x.
-5*b*(b + 1)**2*(b + 3)/2
Let q(r) be the third derivative of -r**6/270 - 8*r**5/45 + 34*r**4 - 1440*r**3 - 7106*r**2. Suppose q(x) = 0. What is x?
-60, 18
Factor m**3 - 23/4*m - 15/2 + 11/4*m**2.
(m - 2)*(m + 1)*(4*m + 15)/4
Let d(y) be the second derivative of -y**8/1344 - y**7/56 + 5*y**6/72 + 5*y**4/12 + 3*y**2/2 + 93*y. Let q(n) be the third derivative of d(n). Factor q(r).
-5*r*(r - 1)*(r + 10)
Let t = 497 - 382. Suppose 66*b**2 - 3*b + 44*b**2 - t*b**2 = 0. Calculate b.
-3/5, 0
Let w(k) be the third derivative of 5/12*k**4 + 0 + 3/2*k**3 + 68*k**2 + 1/60*k**5 + 0*k. Let w(b) = 0. Calculate b.
-9, -1
Let d(w) = -6*w - 227. Let h be d(-37). Let g be (h + 63/12)/((-15)/(-72)). Factor 24/5*b**2 - g*b - 3/5.
3*(2*b - 1)*(4*b + 1)/5
Let y(l) = l + 1. Suppose 2*n + 4 = 8. Let x(i) = -37*i**n - 41*i + 13*i**2 - 4*i**3 + 2 - 23. Let g(h) = x(h) + 5*y(h). Suppose g(k) = 0. What is k?
-4, -1
Let p(n) be the first derivative of -n**5/10 - 101*n**4/2 - 6934*n**3 - 40400*n**2 - 80000*n + 6252. Solve p(x) = 0 for x.
-200, -2
Let l be (3/9)/(26/52). Let c = 50 + -47. Find a such that -1/12*a**