73*l + 6. Let z(b) = 4*b**2 + 872*b - 28. Let w(d) = -28*o(d) - 6*z(d). Suppose w(j) = 0. Calculate j.
0, 97
Let q(n) = -2*n**3 - 12*n**2 + 16*n + 16. Let r be q(-7). Suppose -5*b = -1 - 39. Solve -4*k**3 - b*k - 22*k**2 - 14*k**r - 14*k**2 + 62*k**2 = 0 for k.
0, 1, 2
Suppose -4*p + 16 = 4*g, -3*p - 4*g + 22 = 6. Let o be (18 - (-2701)/(-148))*16/(-3). Factor -16/3*i**2 + 0*i**3 + o*i**4 + 0 + p*i.
4*i**2*(i - 2)*(i + 2)/3
Factor -2252/9 + 2/9*c**2 - 374/3*c.
2*(c - 563)*(c + 2)/9
Find t such that 5085*t**3 + 369296*t**2 + 194791095*t - 5*t**4 - 693846*t**2 - 822246*t**2 - 577019*t**2 = 0.
0, 339
Let f(o) = 10*o**2 - 12*o - 420. Let x(n) = -n**2 + 4*n - 2. Let d(t) = -f(t) - 6*x(t). Solve d(h) = 0.
-12, 9
Let f be 6/35*305/488*(-16)/12*-6. Factor 1/7*s**2 - 1 + f*s.
(s - 1)*(s + 7)/7
Factor 693/2 + 915/2*f - 2*f**3 + 148*f**2.
-(f - 77)*(2*f + 3)**2/2
What is j in -94/3 - 1/3*j**2 - 95/3*j = 0?
-94, -1
Let s(l) = -l**2 + 3*l + 32. Let j be s(-8). Let i be (-16)/j - (-12)/7. Factor -135*h**i + 132*h**2 + h + 8*h.
-3*h*(h - 3)
Let m(k) be the third derivative of -k**8/168 - k**7 + 2*k**6/15 + 28*k**5 - 4*k**4/3 - 560*k**3 - 113*k**2 - 1. Find r such that m(r) = 0.
-105, -2, 2
Suppose 2*q = 3*d - 12, d = -4*d + 5*q + 15. Find y, given that 14*y**3 - 2*y**3 + 8 + 10*y**4 + 18*y**3 - 5*y**3 - d*y**5 - 3*y**3 - 42*y**2 + 8*y = 0.
-2, -1/3, 1, 2
Let g(n) be the second derivative of -43/3*n**3 + 7/12*n**4 + 12*n**2 - 20 + n. Suppose g(c) = 0. What is c?
2/7, 12
Let y(g) be the second derivative of -141*g + 0 - 1/26*g**4 + 18/13*g**2 + 53/39*g**3. Let y(j) = 0. What is j?
-1/3, 18
Let u be 4/(-6) - (-270)/162. Let -1941*k**2 + 1938*k**2 + u + 9*k + 11 = 0. What is k?
-1, 4
Let m(n) be the second derivative of n**4/54 - 2576*n**3/27 - 859*n**2/3 + 6*n + 510. Factor m(a).
2*(a - 2577)*(a + 1)/9
Suppose 60*h - 1 = -f + 59*h, -5*f - 4*h = -8. Let s be f/(21*7/42). Factor -4/7*t + 8/7 + 4/7*t**3 - s*t**2.
4*(t - 2)*(t - 1)*(t + 1)/7
Factor 116*i**2 - i**3 + 62*i**2 - 21*i - 212*i**2 - 12*i.
-i*(i + 1)*(i + 33)
Let r(g) be the first derivative of -g**9/3024 - g**8/560 - g**7/420 - 98*g**3/3 + 13. Let o(t) be the third derivative of r(t). Factor o(s).
-s**3*(s + 1)*(s + 2)
Let g be (3514/(-252) + 14)*(9 + (10 - -1)). Let g*o**5 - 1534/9*o**2 + 422/3*o**3 - 394/9*o**4 + 796/9*o - 16 = 0. What is o?
2/5, 1, 36
Let w be (-1050)/1750 + -137*(-2)/330. Let s = w + -1/33. Factor -s*m**4 + 0 - 2/5*m + 3/5*m**2 + 0*m**3.
-m*(m - 1)**2*(m + 2)/5
Let j(v) be the second derivative of -v**4/12 - 25*v**3/6 - 63*v**2 + 86*v + 4. Factor j(n).
-(n + 7)*(n + 18)
Let s(x) be the third derivative of -627*x**6/40 + 1253*x**5/10 + 3143*x**4/8 + 5*x**3 - 4863*x**2. Let s(t) = 0. What is t?
-1, -2/627, 5
Suppose -3*c - 5*y = 14, 0 = 3*c + 2*y - 23 + 25. Factor 9*f**c + 19922*f**3 - 3*f**2 - 19914*f**3 - 9*f + f**5 - 6*f**4.
f*(f - 3)**2*(f - 1)*(f + 1)
Let k = 737909/48 + -15373. Let y(o) be the second derivative of -10*o + k*o**4 + 1/8*o**3 - 1/4*o**2 + 0. Factor y(s).
(s + 1)*(5*s - 2)/4
Let a(l) be the first derivative of -1/20*l**5 - 14*l + 1/30*l**6 - 3/4*l**4 - 5 - 2*l**2 - 11/6*l**3. Let t(j) be the first derivative of a(j). Factor t(i).
(i - 4)*(i + 1)**3
Factor -49*v**2 + 2108*v - 34*v**2 + 101*v**2 - 644 - 5002*v.
2*(v - 161)*(9*v + 2)
Let c(m) be the second derivative of -2/3*m**3 - 9*m - 8*m**2 - 4 + 1/6*m**4. Factor c(v).
2*(v - 4)*(v + 2)
Let z(f) be the second derivative of f**7/1120 + 13*f**6/40 + 507*f**5/10 + 4394*f**4 - 5*f**3 + 15*f. Let r(u) be the second derivative of z(u). Factor r(w).
3*(w + 52)**3/4
Let n = -2228 - -2232. Let g(p) be the third derivative of 2*p**3 + 1/70*p**7 + 0 + 0*p + 13/20*p**5 - 3/2*p**n - 3/20*p**6 - 17*p**2. Factor g(o).
3*(o - 2)**2*(o - 1)**2
Suppose -7*a - 112*a + 15*a = -312. Let t(x) be the first derivative of 6 + 30*x**2 - 2/3*x**a - 450*x. Factor t(v).
-2*(v - 15)**2
Suppose 4*b - 5775 = 39*b. Let q be (-1)/2*7 + (-161 - b). Factor -1/2*w + 0 + w**2 - q*w**3.
-w*(w - 1)**2/2
Let k be (50 - 71)*(-1)/7. Let m(s) be the second derivative of 0 - 4/33*s**3 + 1/66*s**4 + 4/11*s**2 - k*s. Factor m(o).
2*(o - 2)**2/11
Let -2269 - k**2 + 2*k**2 + 2299 - 14*k + 45*k = 0. What is k?
-30, -1
Let l(f) be the first derivative of 9 - 8/9*f**3 + 17/12*f**2 - 7/24*f**4 + f. Factor l(b).
-(b - 1)*(b + 3)*(7*b + 2)/6
Factor -7/2*z**3 + 85/8*z**4 + 0*z - 3/8*z**5 + 0 + 0*z**2.
-z**3*(z - 28)*(3*z - 1)/8
Let d(r) = -3435*r - 3433. Let j be d(-1). Factor -1/6*c**j - 2/3 + 2/3*c.
-(c - 2)**2/6
Let j = 36 + -31. Suppose 2*b = 2*f - 2, -f - j*b = -2*f - 3. Factor -15*y**3 + 10*y**4 + 0*y**2 + 2*y**2 + 5*y**5 - 2*y**f.
5*y**3*(y - 1)*(y + 3)
Suppose -164*j - 8*j + 344 = 0. Let a(s) be the second derivative of -39/40*s**5 + 10*s + 0 - 15/2*s**4 - 28*s**3 - 48*s**j - 1/20*s**6. Factor a(w).
-3*(w + 1)*(w + 4)**3/2
Let q = 214 - 178. Let k(m) be the first derivative of -28/3*m**3 + 18 - 30*m**2 - q*m - m**4. Factor k(s).
-4*(s + 1)*(s + 3)**2
Solve 36/5*b**3 + 504/5*b - 2/5*b**4 - 218/5*b**2 - 392/5 = 0.
2, 7
Let q be 2*2/4 + (-4 - -8). Suppose 18 = -q*m + 7*m. Factor -3*i**2 - 2*i**2 - 7*i + m*i + 8*i.
-5*i*(i - 2)
Let k be 9 + (-2)/((-90)/(-35)) - 8. Factor 0*t + k*t**2 + 0.
2*t**2/9
Let t be 36400/520 + (-130)/2. Let m = 1/27 + 77/108. Factor -1/2*g**2 + 1/4*g**3 + g**4 - m*g**t + 0*g + 0.
-g**2*(g - 1)**2*(3*g + 2)/4
Let r be 22/(44/(-8) - -6). Solve -406*z**5 + r*z**3 + 12*z + 10*z**2 + 410*z**5 + 28*z**2 + 22*z**4 = 0 for z.
-2, -3/2, -1, 0
Let d = 44921 - 44921. Factor d + 3/2*x + 15/2*x**2 + 6*x**3.
3*x*(x + 1)*(4*x + 1)/2
Suppose 0 = 111*y - 112*y - 441. Let d be y/(-252)*(-2744)/(-3). Factor -33614/15 - 2/15*k**5 - d*k - 14/3*k**4 - 1372/3*k**2 - 196/3*k**3.
-2*(k + 7)**5/15
Let f = -10844 - -10847. Find r such that -4/3*r + 1/6*r**2 - 2/3 + 4/3*r**f + 1/2*r**4 = 0.
-2, -1, -2/3, 1
Let g(o) be the second derivative of 2*o**7/63 + 158*o**6/45 + 533*o**5/5 + 169*o**4 + 201*o - 3. Find h, given that g(h) = 0.
-39, -1, 0
Suppose 13 = 14*m - 43. Let 2*h**4 + 4*h - 4*h + h**3 + h**m - 7*h**3 = 0. Calculate h.
0, 2
Let w(o) be the first derivative of o**6/3 + 6*o**5/5 - 4*o**4 - 8*o**3 + 16*o**2 - 2862. Find v, given that w(v) = 0.
-4, -2, 0, 1, 2
Let b(z) = 4*z**2 + 30*z - 11. Let x be b(-8). Suppose 5*y - 5*l - 20 = 0, x*l = -y - 0*l + 4. Factor -3*o**2 - 4*o**3 + 5*o**3 - 8*o - y*o**2.
o*(o - 8)*(o + 1)
Let l(q) be the second derivative of -q**4/21 + 130*q**3/21 + 1089*q. Factor l(z).
-4*z*(z - 65)/7
Suppose 2*z - 149 = -121, -16*z = -3*j + 6*z - 296. Determine c so that -4 - 4*c + 1/8*c**j + 3/4*c**2 + 7/8*c**3 = 0.
-4, -1, 2
Let t(c) be the third derivative of c**7/168 - c**6/4 - c**5/24 + 15*c**4/4 + 2*c**3 - 144*c**2. Let d(p) be the first derivative of t(p). Factor d(v).
5*(v - 18)*(v - 1)*(v + 1)
Let l = 6851/21 + -33961/105. Factor -1/5*j**2 + 3*j - l.
-(j - 14)*(j - 1)/5
Let f = 421 - 416. Let w(n) be the third derivative of 0 + 24*n**2 + 1/6*n**3 + 1/300*n**f + 0*n + 1/20*n**4. Solve w(x) = 0 for x.
-5, -1
Let i = 126 - 124. Suppose -i*b + b = -12. Find m, given that -23*m + 18 + 14*m + 3*m**2 - b*m = 0.
1, 6
Suppose -14 = 6*b - 21*b + 8*b. Let v = 304/245 + -2/49. Solve 0*j - 2/5*j**4 - 4/5*j**b + 0 + v*j**3 = 0 for j.
0, 1, 2
Let a(i) = -20*i**2 + 688*i - 5886. Let z be a(16). Determine w, given that 169/2 + 1/2*w**z - 13*w = 0.
13
Let m(q) be the first derivative of 108 - 3/4*q**4 + 60*q**2 - 132*q - 7*q**3. Solve m(x) = 0.
-11, 2
Let v(i) be the third derivative of -i**7/280 - 11*i**6/160 - i**5/8 - 717*i**2. Factor v(g).
-3*g**2*(g + 1)*(g + 10)/4
Let g(r) be the second derivative of 0 + 12*r - 8/11*r**2 + 3/11*r**3 - 1/66*r**4. Factor g(f).
-2*(f - 8)*(f - 1)/11
Let x(g) be the second derivative of 0*g**2 + 5 + 35/6*g**3 - 11*g - 7/4*g**5 - 1/6*g**6 + 5/12*g**4. Factor x(h).
-5*h*(h - 1)*(h + 1)*(h + 7)
Let r = 49415 + -49411. Factor 8/5*n**3 + 0 - 12/5*n - 2/5*n**r - 2/5*n**2.
-2*n*(n - 3)*(n - 2)*(n + 1)/5
Let g(x) be the second derivative of -5*x + 1/3*x**2 + 20 - 1/27*x**4 - 1/180*x**5 - 1/54*x**3. Factor g(p).
-(p - 1)*(p + 2)*(p + 3)/9
Let o(i) be the second derivative of -1 + 0*i**3 + 2/5*i**2 - 1/60*i**4 - 20*i. Determine x so that o(x) = 0.
-2, 2
Let -3/4*h**3 - 27/4*h**2 + 75/4 - 45/4*h = 0. What is h?
-5, 1
Let n(j) = 