3*i - i**2 + 272 + h*i - 8*i**3 - 292. Find m such that k(m) = 0.
-1/2, 1/2, 3
Suppose 4*l - 4 + 8 = -4*t, 3*l = -15. Let u(n) = -n + 10. Let p be u(0). Factor p*i**3 - 4*i**2 + 0*i**2 + 782*i**4 - 788*i**t.
-2*i**2*(i - 1)*(3*i - 2)
Let q(j) = -30*j + 1. Let b = -62 + 61. Let o be q(b). Factor 2 - 36*t**2 - 33*t**3 + o*t - 9*t**4 - 2 - 43*t.
-3*t*(t + 1)*(t + 2)*(3*t + 2)
Let w(y) = -27*y**2 + 193*y - 173. Let n(t) = -19*t**2 + 129*t - 115. Let z(x) = 7*n(x) - 5*w(x). Factor z(d).
2*(d - 30)*(d - 1)
Suppose -m = -3*k + 63, 2*k + 2*k - 91 = -m. Factor k*n + 93*n**2 - 1 - 51*n**2 - 2*n**3 + 5 + 34*n**3 + 8*n**4.
2*(n + 1)*(n + 2)*(2*n + 1)**2
Let x be ((8/5)/2)/((-419922)/(-583225)). Factor 2/9*j**4 + 14/3*j - 4 - x*j**3 + 2/9*j**2.
2*(j - 3)**2*(j - 1)*(j + 2)/9
Let i be (-1525)/35*36/(-10). Let h = -156 + i. Let h*p**2 + 2/7*p - 2/7*p**3 - 6/7 = 0. What is p?
-1, 1, 3
Let l(g) be the first derivative of -95 + 27/2*g**2 - 54*g - 1/4*g**4 + 0*g**3. Factor l(o).
-(o - 3)**2*(o + 6)
Let i(h) be the second derivative of h**4/6 + h**3 - 5*h**2/2 - 12*h. Let t be i(-4). Factor 0*s + t*s + s**2 - s - 3 + 0.
(s - 1)*(s + 3)
Let i(h) = 8*h**2 - 5573*h - 3875308. Let k(x) = 2*x**2 - x + 4. Let z(v) = -i(v) + 5*k(v). Determine j so that z(j) = 0.
-1392
Let u = -222 + 224. Factor -18*i**u + 14*i**2 + 27*i**3 + 25*i**2 - 6*i.
3*i*(i + 1)*(9*i - 2)
Let k be (-125 - -2) + -3 + -4. Let c be (-106)/(-901) - k/51. Factor 4*t**2 + 26/3*t**3 + 2/3*t + c*t**5 + 8*t**4 + 0.
2*t*(t + 1)**2*(2*t + 1)**2/3
Let -3/2*m**2 + 1/2*m**4 - 1 - 1/2*m**3 + 5/2*m = 0. Calculate m.
-2, 1
Factor 8/11*i**3 + 36/11 - 34/11*i**2 + 18/11*i.
2*(i - 3)*(i - 2)*(4*i + 3)/11
Let o = -179841/194 - -927. Let i = 47/97 - o. Let 1/2*l**3 + 0 + l**2 + i*l = 0. Calculate l.
-1, 0
Let x be (-32)/(-10) + (24/(-4) - -3). Let p(q) be the second derivative of x*q**2 - 1/10*q**3 + 1/60*q**4 + 6*q + 0. Solve p(h) = 0 for h.
1, 2
Suppose -3*c + 171 = z + 186, 4*z - 20 = 4*c. Suppose -r - 2*r - 31 = -4*y, 5*r = -2*y - 17. Find w such that z*w - w**y - 1/3*w**2 + w**3 + 1/3*w**5 + 0 = 0.
0, 1
Let d(s) = -s**3 - 7*s**2 - 5*s - 33. Let i be d(-7). Suppose -275*q + 271*q - 5*z = 2, -14 = -i*q + 5*z. Solve 38/3*m - q*m**4 + 2/3*m**3 + 34/3*m**2 + 4 = 0.
-1, -2/3, 3
Let x(i) be the first derivative of 4/27*i**4 + 1/1620*i**6 + 0*i + 14 - 2/135*i**5 - 14/3*i**3 + 0*i**2. Let n(f) be the third derivative of x(f). Factor n(z).
2*(z - 4)**2/9
Let s(y) = 10*y + 33. Let v be s(-3). Factor -19*d**2 - 335 - v + 52*d + 13*d**2 + 4*d**2.
-2*(d - 13)**2
Suppose 0*j + 5*u + 26 = 2*j, 0 = -3*j + 5*u + 39. Suppose 3*h = 3*p + 4*h - j, -h + 16 = 4*p. Factor 10/9*o**2 - 2/9*o**p - 2 - 2/3*o.
-2*(o - 3)**2*(o + 1)/9
Let g(c) be the first derivative of -c**3/3 + 73*c**2 - 5329*c - 477. Factor g(q).
-(q - 73)**2
Let d(o) be the second derivative of 1/60*o**6 - 1/20*o**5 - 1 + 49*o + 0*o**3 + 0*o**2 + 0*o**4. Factor d(z).
z**3*(z - 2)/2
Let i be (-12)/(-42) - -82*4/28. Factor -24*y**5 + 7*y**4 + 11*y**5 - 12*y**2 - 4*y**4 - i*y**3 + 16*y**5.
3*y**2*(y - 2)*(y + 1)*(y + 2)
Suppose 0 = 4*y + y + 48*c - 336, 0 = y - 5*c + 35. Let m be 15/6 + (-2)/4. Factor -1/4*f**m + f + y.
-f*(f - 4)/4
Let t(d) be the second derivative of d**5/4 - 153*d**4/2 + 6992*d**3 + 8464*d**2 + 1069*d. Factor t(n).
(n - 92)**2*(5*n + 2)
Suppose 4*j = -43 - 101. Let s = -17 - j. Factor 4*z**4 + 352 + 0*z**4 + 27*z**2 - 8*z - s*z**3 + 0*z**4 - 356.
(z - 2)**2*(z - 1)*(4*z + 1)
Factor -324*d - 520*d**2 + 1300 + 515*d**2 - 971*d.
-5*(d - 1)*(d + 260)
Let s(f) be the first derivative of f**6/24 + 11*f**5/20 - 3*f**4/16 - 287*f**3/12 - 245*f**2/4 - 5852. Find v, given that s(v) = 0.
-7, -2, 0, 5
Let y(m) be the first derivative of -3/5*m**5 - 55/4*m**4 - 17 + 0*m - 87*m**3 - 81/2*m**2. Factor y(o).
-o*(o + 9)**2*(3*o + 1)
Let j = 4/501 + 3988/2505. Suppose -6*a = -a - 5*s, -5*s + 18 = 4*a. Factor j*g + 0 - 2/5*g**a.
-2*g*(g - 4)/5
Let p(q) be the second derivative of q**6/780 + q**5/195 + q**4/156 - 15*q**2/2 - 16*q - 1. Let c(k) be the first derivative of p(k). Factor c(y).
2*y*(y + 1)**2/13
Let y = 3597/9080 + 7/1816. Factor 16/5*u + y*u**2 + 14/5.
2*(u + 1)*(u + 7)/5
Let c(p) be the first derivative of -p**4/7 + 4*p**3/7 + 32*p**2/7 + 48*p/7 - 623. Solve c(k) = 0.
-2, -1, 6
Determine h so that 600*h + 1180 - 13*h**2 + 16*h**2 - 8*h**2 + 8*h**2 + 2*h**2 = 0.
-118, -2
Factor -884*w - 89 - 28*w**3 - 264*w**2 - 363*w**2 + 75*w**2 - 23 - 248.
-4*(w + 1)*(w + 18)*(7*w + 5)
Determine h so that 96*h**4 + 228342*h**2 - 166879*h + 6605*h - 3566*h**3 - 40*h**4 - 55192 - 42*h**4 - 9324 = 0.
-2/7, 1, 127
Let q = 150 - -363. Let u = 1035/2 - q. Factor 15/2*y**5 + 0*y + u*y**4 + 0*y**2 + 0 + 0*y**3.
3*y**4*(5*y + 3)/2
Let p(n) be the first derivative of 3*n**5 + 609*n**4/2 + 8076*n**3 - 10209*n**2 - 5043*n - 651. Find h, given that p(h) = 0.
-41, -1/5, 1
Solve -2/5*f**5 - 128/5*f + 0 + 12*f**2 - 12*f**4 + 26*f**3 = 0.
-32, -1, 0, 1, 2
Let y = 27 - 68. Let z = y + 75. Factor -20*k**4 + 4 - z*k + 10*k**3 + 0*k**2 + 25*k**2 - 6*k**5 + 14*k - 2*k**5.
-(k + 2)**2*(2*k - 1)**3
Let o be -1 + (-279)/(-63) - (-12)/21. Find t such that t**4 + 27 + 60*t + 31*t**2 - 7 + 2*t**2 + 30*t**3 + o*t**4 + 32*t**2 = 0.
-2, -1
Let 68/7*r - 401/7*r**4 - 68*r**3 + 6/7*r**5 + 0 - 1/7*r**2 = 0. Calculate r.
-1, -1/2, 0, 1/3, 68
Factor 11*l**2 + 248*l + 950*l + 399 + 3*l**2 - 11*l**2.
(l + 399)*(3*l + 1)
Let m(z) = -16*z**3 + 26*z**2 - 214*z + 222. Let i(a) = a**3 - a**2 + 2*a - 3. Let y(f) = -36*i(f) - 2*m(f). Factor y(j).
-4*(j - 7)*(j - 1)*(j + 12)
Let x(m) be the first derivative of 6*m - 1/200*m**5 + 1/60*m**3 - 1 + 0*m**2 + 1/120*m**4 - 1/300*m**6. Let p(f) be the first derivative of x(f). Factor p(k).
-k*(k - 1)*(k + 1)**2/10
Let m(d) = -3*d**4 + 57*d**3 + 114*d**2 - 37*d - 101. Let j(z) = -2*z**4 - z - 1. Let u(l) = 5*j(l) - m(l). Factor u(n).
-(n + 1)*(n + 4)**2*(7*n - 6)
Let j(r) = -2*r + 96. Let y be j(25). Suppose 6 - 2*b**2 - 5*b - y*b**3 + 17*b**3 + 30*b**3 = 0. What is b?
-2, 1, 3
Let m = -18529 + 18534. Find v such that 10*v**2 - 10*v**4 + 0 - 5/2*v**3 - 2*v + 9/2*v**m = 0.
-1, 0, 2/9, 1, 2
Suppose -28*p - 30 = -34*p. Suppose -p*u = -r - 15, -3*r - 30 + 9 = -3*u. Suppose -4/11*i + 0 + 2/11*i**u + 2/11*i**3 = 0. What is i?
-2, 0, 1
Let h = 4221 - 84393/20. Let p = h - -3/20. Factor 9/2*w + p*w**2 + 0.
3*w*(w + 3)/2
Suppose -2*r - 3*j - 792 = 0, 4*r - 760 = 6*r - 5*j. Let b = r + 392. Factor -4/3*s - 16/3 + 16/3*s**b + 4/3*s**3.
4*(s - 1)*(s + 1)*(s + 4)/3
Let g(p) = 20*p**3 + 6150*p**2 - 23285*p + 17535. Let r(n) = 5*n**3 + 1544*n**2 - 5821*n + 4384. Let y(j) = 4*g(j) - 15*r(j). Factor y(k).
5*(k - 3)*(k - 1)*(k + 292)
Let j(z) = 2*z**2 - 4*z + 2. Let a(v) = v**2 - v. Let b = 23 + -22. Let h be ((-20)/8)/(1/(-2)). Let f(r) = b*j(r) + h*a(r). Factor f(w).
(w - 1)*(7*w - 2)
Let p(z) be the second derivative of 3*z**5/20 + 2*z**4 + 5*z**3/2 - 75*z**2 - 29*z + 1. Suppose p(k) = 0. Calculate k.
-5, 2
Find o, given that 75*o**2 - 17*o**2 + 4 + 64*o**4 - 36 + 132*o**3 - 528*o - 306*o**2 = 0.
-2, -1/16, 2
Let m be (102/85)/((-10)/(-75)). Suppose 6*j = m*j - 2*l - 15, l = 2*j - 9. Factor 5/3*i**j + 5/3*i**2 - 5/3*i - 5/3.
5*(i - 1)*(i + 1)**2/3
Let a be 14 + -30 - 4 - -12 - (-7 + -1). Let 1/4*j**2 + 1/2*j**3 - 1/4*j**4 + a - 1/2*j = 0. Calculate j.
-1, 0, 1, 2
Let n(l) be the first derivative of -5*l**6/6 - 34*l**5 - 315*l**4 + 1080*l**3 - 687. Factor n(a).
-5*a**2*(a - 2)*(a + 18)**2
Let x be 23529/1265 + (-16 - -1). Factor -x*i**2 + 0 + 6/5*i**3 + 2*i + 2/5*i**4.
2*i*(i - 1)**2*(i + 5)/5
Let f = 198 - 189. Suppose 14 = 4*a + 3*c, 4*c - f*c + 4 = -3*a. Factor 4/5*p**a + 16/5 - 16/5*p.
4*(p - 2)**2/5
Let z(m) be the third derivative of -m**2 - 2/27*m**3 + 1/36*m**4 - 1/540*m**6 + 0 + 0*m**5 + 5*m. Determine x, given that z(x) = 0.
-2, 1
Let r be 20/18 - (208/(-72) + 2). Let z(u) be the second derivative of 3*u - 10*u**r - 10/3*u**3 + 0 - 5/12*u**4. Find i such that z(i) = 0.
-2
Let d(v) = v**2 + 1. Let y(i) = 1. Let s = 353 - 356. Let r(t) = s*y(t) + 3*d(t). Factor r(m).
3*m**2
Let i = 353 + -317. Suppose 6*x - i = -24. Find c such that -2/3*c - x*c**3 - 2/3*c**4 - 2*c**2 + 0 = 0.
-1, 0
Find u, given that -847552 - 450*u - 1161*u - 20*u - 1273*u + 144784 - 3*u**2 = 0.
-484
Let p(m) be the 