-t**2 - t - 3. Let u = 101 + -107. Let v(n) = u*g(n) - b(n). Factor v(l).
5*(l - 24)**2
Suppose -2/13*f**4 + 4426/13*f + 204 - 882/13*f**3 + 894/13*f**2 = 0. What is f?
-442, -1, 3
Suppose 168 = 4*u - 3*b, -2*b = -11*u + 10*u + 42. Let m be ((-31080)/(-1332))/((-8)/u*-2). Factor 20*i + 145*i**2 + m*i**4 + 280*i**3 + 0.
5*i*(i + 4)*(7*i + 2)**2/4
Suppose -94*b - 36 + 157 = -161. Find i, given that 360/7 + 192/7*i + 2/7*i**b + 34/7*i**2 = 0.
-6, -5
Let -108899/4*a**2 + 661/4*a**3 - 1/4*a**4 + 0 - 109561/4*a = 0. What is a?
-1, 0, 331
Determine p, given that 0*p + 1/2*p**5 - 3*p**3 + 0 - 4*p**2 + 3/2*p**4 = 0.
-4, -1, 0, 2
Let k = -88/349 + 613/1047. Let r(g) be the first derivative of -10 - 2*g**2 + 4*g + k*g**3. Factor r(w).
(w - 2)**2
Let u(t) be the second derivative of 2*t**6/5 - 63*t**5/4 - 181*t**4/2 + 1257*t**3/2 - 435*t**2 + 372*t + 1. Determine k, given that u(k) = 0.
-5, 1/4, 2, 29
Let k be (12/(-8))/(6/80). Let m be (k/3)/(18/(-27)). Factor m*g**2 + 3*g - 3*g**2 + 5*g**4 - 4*g**4 + 0*g + 5*g**3.
g*(g + 1)**2*(g + 3)
Let o(m) be the second derivative of -m**4/48 + 67*m**3/4 - 40401*m**2/8 - 2758*m. Factor o(w).
-(w - 201)**2/4
Let j(t) = 15*t**4 + 5*t**3 - 35*t**2 - 10*t. Let y(m) = 3*m**3 - 369050*m**4 + 369058*m**4 + 7*m**2 - 4*m - 25*m**2. Let k(p) = -3*j(p) + 5*y(p). Factor k(x).
-5*x*(x - 2)*(x + 1)**2
Find d such that -260*d**2 - 20*d**3 - 5*d**4 + 2*d**3 - 240*d - 62*d**3 = 0.
-12, -2, 0
Let q(m) = 545*m - 1. Let c be q(1). Suppose 0 = 4*o - c + 196. Factor -39*j**2 + 192*j + 256 + o*j**2 - j**3 + 5*j**3.
4*(j + 4)**3
Let w(s) = -s - 1. Let g(y) = 30*y**2 - 2*y + 5. Let h(f) = -g(f) - 5*w(f). Let t(j) = -15*j**2 + 4*j. Let m(o) = 2*h(o) - 5*t(o). Factor m(p).
3*p*(5*p - 2)
Suppose 144*l + 6 + 18 = -4 + 28. Suppose -2/7*d**4 + 0*d + l + 12/7*d**3 - 10/7*d**2 = 0. Calculate d.
0, 1, 5
Let r = 174413/130 - 17427/13. Determine u so that -r*u**2 + 0*u**3 - 4/5 + 1/10*u**4 - 9/5*u = 0.
-2, -1, 4
Suppose i + 3/4*i**4 + 0 - 11/4*i**3 + 2*i**2 = 0. Calculate i.
-1/3, 0, 2
Let o(m) be the first derivative of -2*m**7/21 - 4*m**6/5 - 13*m**5/5 - 4*m**4 - 8*m**3/3 - 76*m - 91. Let d(p) be the first derivative of o(p). Factor d(i).
-4*i*(i + 1)**2*(i + 2)**2
Suppose 4*c + 23 = -45. Let l = -14 - c. Factor r**3 + 3*r**3 + 8*r**l + 380*r - 200 - 128*r**2.
4*(r - 5)**2*(3*r - 2)
Suppose 196 = -11*x + 25*x. Factor -x*j**2 - 42*j**3 + 46*j**3 + 6*j**2.
4*j**2*(j - 2)
Factor 2/9*d**4 + 2/9*d**3 - 80/9 - 10*d**2 + 166/9*d.
2*(d - 5)*(d - 1)**2*(d + 8)/9
Let b(j) be the third derivative of j**7/105 + 2*j**6/15 - 73*j**5/10 + 205*j**4/6 - 200*j**3/3 + 1345*j**2. Factor b(y).
2*(y - 10)*(y - 1)**2*(y + 20)
Factor 1207*m**5 - 30*m**4 - 20*m**2 - 1212*m**5 + 90*m**3 - 135*m**3.
-5*m**2*(m + 1)**2*(m + 4)
Let a be ((-400)/(-80))/(544/1280). Factor 40/17*o - a - 2/17*o**2.
-2*(o - 10)**2/17
Find v, given that -134171*v**2 - 16054*v**3 - 8115*v**4 - 342225*v + 2531*v**4 + 2710*v**4 - 8569*v**2 + 2630*v**4 - v**5 = 0.
-117, -5, 0
Let c = 2809/57 - 4877/114. Factor -c*v**3 - 5*v**2 - 7/4*v**4 + 2*v + 0.
-v*(v + 2)**2*(7*v - 2)/4
Let w be 8 - 0 - (29 + 2715/(-75)). Let 6/5*i**2 - 22*i - w = 0. What is i?
-2/3, 19
Let y(l) be the third derivative of l**7/840 - l**6/480 - l**5/80 + l**4/96 + l**3/12 + 1524*l**2. Factor y(p).
(p - 2)*(p - 1)*(p + 1)**2/4
Let u(n) be the third derivative of -n**6/200 - 27*n**5/100 + 996*n**2. Determine o so that u(o) = 0.
-27, 0
Let z(o) = 3*o**3 + o. Let n(g) = -12 - g + 21*g**3 + 0*g + 98*g**2 + 0*g + g**3 - 97*g**2. Let v(l) = -3*n(l) + 21*z(l). Factor v(y).
-3*(y - 3)*(y + 2)**2
Let s be 6*-1*22/33. Let u be ((-32)/88)/((-4)/(-88)*s). Let 2/11*b**u + 13/11*b + 6/11 = 0. Calculate b.
-6, -1/2
Let -18*y**4 + 549/4*y - 81/2 + 90*y**3 - 339/2*y**2 + 3/4*y**5 = 0. Calculate y.
1, 3, 18
Let s be 2/19 + 393/57. Suppose -13 + s = -2*t. Solve 13*w**5 - 4*w**5 - 2*w**t - 7*w**5 = 0 for w.
-1, 0, 1
Suppose -4*f + 37 = 3*r, 2*f - 309*r + 304*r = -27. Factor -2/5*c**f - 12800*c - 32*c**3 - 64000 - 960*c**2.
-2*(c + 20)**4/5
Let q(g) = 44*g - 3820. Let n be q(87). Let f(r) be the first derivative of 0*r - 80/3*r**3 - 10 - n*r**2 - 9*r**4. Factor f(t).
-4*t*(t + 2)*(9*t + 2)
Factor 50/13*f + 2/13*f**2 + 252/13.
2*(f + 7)*(f + 18)/13
Let w be 13 - 14 - (-6 + (-1)/(-1)). Find i, given that -1024 + 105*i - w*i**2 + 114*i - 91*i = 0.
16
Let o(z) = -34*z**2 - 846*z - 854. Let s(p) = -39*p**2 - 843*p - 853. Let d(m) = -7*o(m) + 6*s(m). Factor d(n).
4*(n + 1)*(n + 215)
Suppose -a + 3*r + 21 = 0, -3*a + 7*r = 12*r - 77. Let x(m) = 2*m**2 - 47*m - 17. Let q be x(a). Determine p so that -18*p**2 + 15*p**2 + q*p**2 - p**4 = 0.
-2, 0, 2
Let v be 13 + 73493/(-2940) + 12. Let f(j) be the third derivative of 0*j - v*j**5 - 1/56*j**4 - 11*j**2 + 2/21*j**3 + 0. Solve f(w) = 0 for w.
-4, 1
Let g = 143 + -124. Factor -8*f + 75*f**3 - 3*f - 22*f + 50*f**2 + 12*f**4 - 6*f + g*f**2 - 45.
3*(f + 1)**2*(f + 5)*(4*f - 3)
Let s = 155135750 - 311047171562/2005. Let a = 6/401 + s. Suppose -27/5 - a*h + 3/5*h**4 + 18/5*h**3 + 24/5*h**2 = 0. What is h?
-3, -1, 1
Let w(t) be the second derivative of -5*t**4/6 - 98*t**3/3 - 2401*t**2/5 + 56*t + 16. Determine v, given that w(v) = 0.
-49/5
Suppose -196 = -x - 3*x + 3*b, b = 0. What is l in -43*l + 135*l - 58*l + 0*l**2 - x*l - l**2 = 0?
-15, 0
Let f(a) = -8*a**4 + 404*a**3 - 10392*a**2 - 412*a + 10404. Let b(s) = -7*s**4 + 405*s**3 - 10394*s**2 - 411*s + 10404. Let t(c) = 4*b(c) - 3*f(c). Factor t(o).
-4*(o - 51)**2*(o - 1)*(o + 1)
Let r = -3718/21 - 956/63. Let v = -192 - r. Let -v*m**2 + 2/9*m + 0 = 0. Calculate m.
0, 1
Let t(s) be the third derivative of -s**5/105 + 19*s**4 - 15162*s**3 + 190*s**2 + 2*s. Determine d, given that t(d) = 0.
399
Let l(j) be the third derivative of -13/6*j**3 - 1/1080*j**6 + 0*j + 1/36*j**4 + 6*j**2 - 1/360*j**5 + 0. Let r(y) be the first derivative of l(y). Factor r(p).
-(p - 1)*(p + 2)/3
Let x(l) = -l**5 + l**4 + 1. Let i(r) = -35*r**3 + 65*r**2 - 30*r + 5. Let t(a) = i(a) - 5*x(a). Factor t(j).
5*j*(j - 2)*(j - 1)**2*(j + 3)
Let i(b) be the third derivative of 14*b**7/15 + 175*b**6/12 - 83*b**5/30 - 44*b**4/3 + 12*b**3 + 1465*b**2. Solve i(j) = 0.
-9, -1/2, 2/7
Let s = 188 - 193. Let k(m) = -9*m**2 + 23*m + 110. Let a(v) = -4*v**2 + 12*v + 56. Let y(j) = s*a(j) + 2*k(j). Factor y(u).
2*(u - 10)*(u + 3)
Let p(b) be the second derivative of b**5/65 + 1273*b**4/78 + 67628*b**3/13 + 101124*b**2/13 + 2*b - 1275. Determine w so that p(w) = 0.
-318, -1/2
Suppose 61*r = 76*r - 1410. Suppose 36*u + 22 - r = 0. Determine k so that 200/9 + 2/9*k**u + 40/9*k = 0.
-10
Let o(z) be the first derivative of -27 - 1/27*z**6 - 2/45*z**5 + 0*z**2 + 0*z + 1/18*z**4 + 2/27*z**3. Find j such that o(j) = 0.
-1, 0, 1
Factor 9*d**4 + 89*d**4 - 308 - 532*d**3 - 2974*d**2 + 170*d - 1730*d + 92.
2*(d - 9)*(d + 3)*(7*d + 2)**2
Let p(x) = 2*x**2. Let z(m) = m**3 - 4*m**2 + 3*m - 1. Let y be z(3). Let w be p(y). Solve -10*b**w - 11 + 4*b + 11 + 34*b**2 = 0 for b.
-1/6, 0
Determine h so that 0*h**3 - 2*h**3 + 0*h + 10*h**3 + 2*h**3 + 16*h**2 + 6*h = 0.
-1, -3/5, 0
Let i = 174335 - 174335. Factor 0*l**2 + 2/5*l**3 + 0*l + i + 1/10*l**4.
l**3*(l + 4)/10
Let s(u) be the second derivative of -u**4/3 + 2188*u**3/3 - 598418*u**2 + 2404*u. Determine i so that s(i) = 0.
547
Let b(y) be the first derivative of -2*y**3/57 + 2790*y**2/19 - 3892050*y/19 - 5378. Factor b(k).
-2*(k - 1395)**2/19
Find l such that -267/8*l + 117/4 + 33/8*l**2 = 0.
1, 78/11
Let x = 19501/4 + -4875. Let w(t) be the second derivative of 0*t**2 + 14*t + 0 + 0*t**3 - 5/4*t**4 - x*t**5. Factor w(p).
-5*p**2*(p + 3)
Let m(p) be the second derivative of p**8/5600 - p**7/1050 - p**6/600 + p**5/50 - 3*p**4/4 - 121*p. Let w(k) be the third derivative of m(k). Factor w(f).
6*(f - 2)*(f - 1)*(f + 1)/5
Let k = 85 + -83. Factor -1906*o**3 + 1905*o**3 - 899*o + 961 + 12*o**2 - 73*o**k.
-(o - 1)*(o + 31)**2
Solve 859*s**4 - 92*s**2 + 240 + 132*s**3 - 304*s - 4*s**5 - 344*s**4 - 487*s**4 = 0 for s.
-3, -2, 1, 10
Let d(y) be the first derivative of y**5 - 155*y**3/3 - 75*y**2 - 1108. Solve d(g) = 0.
-5, -1, 0, 6
Let x = -19568/3 + 137264/21. Determine w, given that -x*w - 3/7*w**2 - 768/7 = 0.
-16
Let o(i) be the third derivative of 0 + 6*i**2 - 2/15*i**3 - 1/75*i**5 +