 = -a**2 - 6*a - 3. Let r be c(-1). Let b be 689/424 - -2*r/(-32). Factor -b*i**2 + 0*i + 0.
-3*i**2/2
Let -251*q**3 - 26*q**2 + 89*q - 13 - 5*q - 2 + 221*q**3 - 17 + 4*q**4 = 0. Calculate q.
-2, 1/2, 1, 8
Let p(j) be the second derivative of j**4/90 - 7*j**3/5 + 62*j**2/15 + 335*j. Factor p(v).
2*(v - 62)*(v - 1)/15
Let o(l) = -38*l**3 + 4590*l**2 - 5692*l + 1028. Let p(m) = -13*m**3 + 1530*m**2 - 1897*m + 340. Let r(d) = -5*o(d) + 14*p(d). Suppose r(k) = 0. What is k?
1/4, 1, 190
Suppose 83 + 99 = 7*c. Factor 14*p**2 - 28*p**2 - 3*p**3 + p**3 - c*p**2.
-2*p**2*(p + 20)
Let v = 145 + -75. Factor -v*d - 4*d**3 - 18 - 14 + 3*d**2 - 31*d**2 + 14*d.
-4*(d + 1)*(d + 2)*(d + 4)
Let v(i) be the second derivative of i**4/4 - 79*i**3/2 - 243*i**2 - 6*i - 1. Factor v(h).
3*(h - 81)*(h + 2)
Let z(t) be the second derivative of 5*t**4/12 - 470*t**3/3 + 22090*t**2 + 20*t - 46. Factor z(p).
5*(p - 94)**2
Let c(k) be the first derivative of 2*k**5/25 - 56*k**3/15 - 48*k**2/5 - 8559. Factor c(u).
2*u*(u - 6)*(u + 2)*(u + 4)/5
Let p(j) = 1 + 3449*j**2 + 2*j - 6*j**3 + 5*j**3 - 3451*j**2. Let s(q) = 2*q**3 + 28*q**2 - 127*q - 3. Let t(r) = 3*p(r) + s(r). Factor t(n).
-n*(n - 11)**2
Let g(d) = 9*d - d**2 + 42 - 6*d + 4*d. Let a be g(9). Find n such that 116 - 16*n**3 - 11*n + a*n**2 - 5*n + 4*n**4 - 112 = 0.
1
Let q = 1945707 - 5837104/3. Find f, given that 0 - 1/3*f**2 + q*f = 0.
0, 17
Let d(a) = 2*a**4 - 52*a**3 - 68*a**2 + 28*a. Let b(j) = -j**3 - 2*j**2 + 2*j. Let m(c) = 14*b(c) - d(c). Let m(l) = 0. Calculate l.
-1, 0, 20
Let u(g) = g**2 - 9*g - 319. Let r be u(-14). Let f(w) be the third derivative of -5/12*w**4 + 1/12*w**5 + 0*w + 0*w**r + 0 + 25*w**2. What is q in f(q) = 0?
0, 2
Let b(j) be the second derivative of -11*j**7/14 + j**6/10 + 3*j**5/2 + j + 71. Factor b(r).
-3*r**3*(r - 1)*(11*r + 10)
Factor 44/5 - 23/5*q**2 - 4*q - 1/5*q**3.
-(q - 1)*(q + 2)*(q + 22)/5
Factor -168/5 - 176/5*k - 10*k**2 - 2/5*k**3.
-2*(k + 2)**2*(k + 21)/5
Let x = 19 + -431. Let b = 414 + x. Factor 1/2*a**3 + 9/2*a + 2 + 3*a**b.
(a + 1)**2*(a + 4)/2
Let r(v) be the third derivative of -v**7/504 - 13*v**6/144 - 11*v**5/12 + v**4/4 - 51*v**2 + 1. Let j(c) be the second derivative of r(c). Factor j(k).
-5*(k + 2)*(k + 11)
Let s(l) = -l**2 + 10*l + 99. Let y be s(-6). Factor 1/3*q**3 - y*q**2 - 7/3 + 5*q.
(q - 7)*(q - 1)**2/3
Suppose -2*r + 9 = c, -3 + 0 = -3*c. Let v = 659402/3 - 219800. Factor -v*u**2 + 10/3*u + r.
-2*(u - 6)*(u + 1)/3
Let l(w) = w. Suppose 0 = -27*t + 36*t - 9. Let f(j) = -5*j**2 + 102*j - 95. Let r(c) = t*f(c) - 2*l(c). Factor r(p).
-5*(p - 19)*(p - 1)
Suppose -3*z + 55 - 98 = -73, -2*z = -10*x + 20. Factor 2*d**3 - 4/3 - 1/3*d**x + 4*d - 13/3*d**2.
-(d - 2)**2*(d - 1)**2/3
Let r(h) = 2*h + 1. Let w be r(5). Let t(f) be the first derivative of -4 + 5*f + 2*f**4 + w*f - 17 - 3*f**4 - 4*f**3. Suppose t(c) = 0. Calculate c.
-2, 1
Let g(a) be the first derivative of -2*a**5/65 + 2*a**4/13 + 12*a**3/13 + 20*a**2/13 + 14*a/13 - 1906. Factor g(d).
-2*(d - 7)*(d + 1)**3/13
Let z(q) be the first derivative of q**5/25 + 23*q**4/20 - 7*q**3/15 - 167*q**2/10 - 138*q/5 - 2190. Let z(c) = 0. Calculate c.
-23, -2, -1, 3
Let d be ((-1425)/90 + 16)*(5 + -1). Let r(w) be the second derivative of 0 + 3/10*w**5 + d*w**3 - 7*w + 3/2*w**4 - 4/15*w**6 + 0*w**2. Factor r(h).
-2*h*(h - 2)*(h + 1)*(4*h + 1)
Let n(s) = -47*s**2 - 52*s + 80. Suppose 13*r = 8*r - 10. Let w(v) = -1035*v**2 - 1145*v + 1760. Let l(p) = r*w(p) + 45*n(p). Solve l(k) = 0.
-2, 8/9
Factor 99*n**3 + 11*n**4 + 7*n**5 - 72*n**4 + n**4 + 117*n**3 - 3*n**5.
4*n**3*(n - 9)*(n - 6)
Let b(x) be the third derivative of -1/560*x**8 + 3/40*x**6 + 0*x**3 - 2*x + 3/20*x**4 + 17/100*x**5 - 5*x**2 + 0 + 3/350*x**7. Factor b(c).
-3*c*(c - 6)*(c + 1)**3/5
Let j = 1316 + -1290. Let v be (6/2 + -1)*1. Let -5*o + 4 + o**v + j + 0*o**2 - 6*o**2 = 0. Calculate o.
-3, 2
Let r = 2098455/4 - 524545. Determine c so that -7*c - 99/2*c**2 + 59/4*c**3 + 6 + r*c**5 + 120*c**4 = 0.
-1, -6/11, 2/5
Suppose -4*o + 360 = -3*j, -63 + 312 = 3*o + 3*j. Suppose -5*x = -33 - o. Factor -x*u + 8 - 180*u**2 + 350*u**3 - 2 + 10.
2*(5*u - 2)**2*(7*u + 2)
Let a(m) = -5*m**3 - 583*m**2 - 352*m - 464. Let s be a(-116). Factor 12/5*i + s - 14/5*i**2 + 2/5*i**3.
2*i*(i - 6)*(i - 1)/5
Factor 0 - 1/6*o**3 - 11/6*o**2 - 5*o.
-o*(o + 5)*(o + 6)/6
Let p(i) = -12*i**4 + i**3 + 303*i**2 - 5*i - 5. Let o(z) = 34*z**4 - 4*z**3 - 910*z**2 + 14*z + 14. Let h(n) = -5*o(n) - 14*p(n). Factor h(t).
-2*t**2*(t - 14)*(t + 11)
Solve -3/2*j**2 - 33*j - 363/2 = 0 for j.
-11
Let y(d) be the first derivative of -d**4/18 + 1078*d**3/27 - 72899*d**2/9 + 144722*d/9 - 1037. Factor y(n).
-2*(n - 269)**2*(n - 1)/9
Let f(j) = -20*j**5 + 24*j**4 - 36*j**3 + 20*j**2 - 4*j - 8. Let c(p) = -4*p**5 + p**2 - p - 2. Let g(a) = -4*c(a) + f(a). Find u such that g(u) = 0.
0, 1, 4
Let q(m) be the first derivative of 84*m**2 + 16*m - 41 - 121/2*m**4 + 132*m**3. Determine v, given that q(v) = 0.
-2/11, 2
Solve 25/6 - 1/6*w**3 - 17/2*w + 9/2*w**2 = 0.
1, 25
Suppose 0 = -4*o - f + 24, 0*o + 2*o + 3*f = 22. Let a be ((-16)/(-4) - 1)*o. Solve 24*r**3 - r**5 + 4*r**5 + 15*r**2 - 27*r**2 - a*r**4 = 0.
0, 1, 2
Let p be -3 + 14/4*2. Suppose 0 = 6*l + 35 - 47. Factor 17*h**l - 5*h**2 - 6*h**2 - p*h - 2*h**4.
-2*h*(h - 1)**2*(h + 2)
Let w be -1 - 7437/(-2475) - (-2 + 4). Let g = w + 4582/275. Solve g*c + 125/3 + 5/3*c**2 = 0.
-5
Let w(b) be the first derivative of b**5/30 - b**4/4 + 2*b**3/3 + 48*b**2 + 99. Let x(g) be the second derivative of w(g). Let x(a) = 0. What is a?
1, 2
Let -108/5*u + 0 - 22*u**2 - 2/5*u**3 = 0. What is u?
-54, -1, 0
Let t(m) be the second derivative of 1/75*m**6 + 1/210*m**7 + 0*m**3 - 13/100*m**5 + 1 + 0*m**2 + 1/6*m**4 + 20*m. Factor t(s).
s**2*(s - 2)*(s - 1)*(s + 5)/5
Let k(m) = 17 - 2*m**2 + 2*m + 4*m**2 + m**2 + m**2 - 18 + m**3. Let c be k(-2). Factor -1 - 1/6*n**c + 0*n**2 + 7/6*n.
-(n - 2)*(n - 1)*(n + 3)/6
Suppose -22*d = -19*d - 6. Find j, given that 3 - 7*j**5 - 16*j + 110*j**4 + 102*j**3 - 25*j**5 - 46*j**4 - 13*j**d = 0.
-1, -1/2, 1/4, 3
Let n(x) be the third derivative of -x**7/42 - 19*x**6/24 - 31*x**5/3 - 135*x**4/2 - 240*x**3 + 27*x**2 + 145*x. Find i such that n(i) = 0.
-8, -6, -3, -2
Let t(g) be the first derivative of 3*g**4 + 58*g**3/3 + 12*g**2 + 4*g + 27. Let f(x) be the first derivative of t(x). Solve f(b) = 0.
-3, -2/9
Let r(k) = 7*k**2 - 616*k - 7249. Let w(t) = 3*t**2 - 204*t - 2416. Let a(p) = -4*r(p) + 11*w(p). Find n such that a(n) = 0.
-22
Let t(q) be the third derivative of -q**8/1344 + 11*q**7/420 - 59*q**6/480 + 19*q**5/120 + q**2 + 2050. Suppose t(m) = 0. Calculate m.
0, 1, 2, 19
Suppose 3*a - 388*o = -392*o - 38, 3*o = 2*a - 37. Suppose 20/11*f - 2/11*f**a - 18/11 = 0. Calculate f.
1, 9
Let v(a) be the second derivative of -5*a**4/12 - 485*a**3/6 - 6490*a**2 - 83*a. Let j(f) = -f - 1. Let o(g) = 25*j(g) + v(g). Factor o(m).
-5*(m + 51)**2
Solve 2268*i**2 + 10119*i + 15340*i + 34992 + 2*i**4 + 114*i**3 - 7963*i = 0.
-18, -3
Let p(f) = 18*f**3 + 6396*f**2 + 12963*f + 6495. Let q(r) = -5*r**3 - 1598*r**2 - 3241*r - 1624. Let c(b) = -4*p(b) - 15*q(b). Factor c(z).
3*(z - 540)*(z + 1)**2
Let m be (-2)/(-2*6/20 - 108/270). Let g(j) be the first derivative of -m*j - 2*j**3 - 23 + 3*j**2 + 1/2*j**4. Factor g(h).
2*(h - 1)**3
Let l(p) be the second derivative of -p**5/4 + 25*p**4/18 - 5*p**3/2 + 5*p**2/3 + 225*p + 6. Find c, given that l(c) = 0.
1/3, 1, 2
Find m such that 386/13*m - 2/13*m**4 + 204/13 + 158/13*m**2 - 2*m**3 = 0.
-17, -1, 6
Let w(k) = 5*k**2 - 143*k - 8. Let f(x) = -x**2 - 7*x + 2. Let c(g) = 20*f(g) + 5*w(g). Suppose c(v) = 0. Calculate v.
0, 171
Let s = -17229 + 17278. Let y(x) be the first derivative of 29/12*x**3 + 28*x**2 + 2 + 1/16*x**4 + s*x. Factor y(i).
(i + 1)*(i + 14)**2/4
Let o(m) = 2*m**4 + m**2 + 2*m - 1. Let a(k) = 8*k**4 + 808*k**3 + 818*k**2 + 12*k - 6. Let i(d) = a(d) - 6*o(d). Determine v so that i(v) = 0.
-1, 0, 203
Let m(l) be the first derivative of 44*l**5/25 + 9*l**4/5 - 52*l**3/15 - 18*l**2/5 + 8*l/5 + 1952. Determine h, given that m(h) = 0.
-1, 2/11, 1
Factor -52*l**4 - 11848*l**3 - 351558*l**2 + 3511808 - 578387*l**2 + 30713*l**2 - 22688128*l.
-4*(l + 76)**3*(13*l - 2)
Let i be (375/7125)/(5/(3 - -7)). Solve 