 Factor b(w).
-2*(w - 2)*(w + 1)*(w + 2)/9
Suppose 0 = 4*f + 4*y - 120, -18 = 5*f + y - 148. Factor -4352 + 239*h + f*h - 5773 + 186*h - 5*h**2.
-5*(h - 45)**2
Let h(u) = 1. Let v(w) = 48*w**2 - 96*w**2 - 292 + 46*w**2 - 48*w. Let l(c) = -4*h(c) - v(c). Factor l(m).
2*(m + 12)**2
Suppose -4*o + 23 = 3*z, 3*o + 8*z = 4*z + 26. Solve -5*i**o - 5 + 0*i - 2*i - 3*i + 15*i**2 = 0.
-1/2, 1
Let k be 8/40 + (-58192)/(-140). Let c = 417 - k. Solve 4/7*a**3 - 18/7*a**4 + 24/7*a - c + 54/7*a**2 = 0.
-1, 2/9, 2
Let p(z) be the second derivative of z**5/60 + 4*z**4/9 + 85*z**3/18 + 25*z**2 - 1120*z. Factor p(b).
(b + 5)**2*(b + 6)/3
Let f(x) = -151*x + 1815. Let j be f(12). Let a(k) be the third derivative of 0*k + 4*k**2 + 5/4*k**4 + 1/12*k**5 + 0 + 25/6*k**j. Factor a(g).
5*(g + 1)*(g + 5)
Factor 80*q + 3028*q + 2966*q**2 - 988*q**2 + 6204 - 990*q**2 - 985*q**2.
3*(q + 2)*(q + 1034)
Let a(f) be the second derivative of f**7/231 - f**5/110 + 2*f - 10. Determine w, given that a(w) = 0.
-1, 0, 1
Let h(m) be the second derivative of m**7/252 + m**6/60 - m**5/60 - m**4/6 - 2*m**3/9 + 16*m - 13. Factor h(l).
l*(l - 2)*(l + 1)*(l + 2)**2/6
Let x = -24 - -74/3. Let f = 19568/9 + -2174. What is u in 2/9*u**4 + x*u**2 + 0 - 10/9*u**3 + 0*u + f*u**5 = 0?
-3, 0, 1
Factor 6/7*u + 920/7 - 2/7*u**2.
-2*(u - 23)*(u + 20)/7
Suppose 0 = -3*w, 9*n - w - 30 = 6. Let i(t) be the first derivative of 2/45*t**5 + 2/9*t - 4/27*t**3 + 3 + 0*t**2 + 0*t**n. Factor i(q).
2*(q - 1)**2*(q + 1)**2/9
Let p(z) be the first derivative of 2*z**3/45 + 214*z**2/3 - 3408. Factor p(b).
2*b*(b + 1070)/15
Suppose -3*w + 1 = -8. Suppose 0 = 3*q + z - 33 - 0, -w*q - 5*z = -33. Factor 2*u**3 + 3*u**2 - q + 6*u + 11 - 5*u**3.
-3*u*(u - 2)*(u + 1)
Let t be ((74/7)/((-630)/(-392)))/(2/10). Suppose -3*c + c + 8 = 0. Determine x, given that 82*x**3 - 32/9 - t*x**2 - 18*x**c - 248/9*x = 0.
-2/9, 1, 4
Let x = 3587/270 - -13/270. Let q(i) be the third derivative of x*i**3 + 12*i**2 + 0*i - 35/3*i**4 + 0 + 49/12*i**5. Let q(d) = 0. Calculate d.
4/7
Let k be (-225)/6*(-32)/48. Suppose -w = -5*n - k, 3 + 17 = w - 4*n. Let -2/9*p + 2/9*p**3 + 0 + w*p**2 = 0. Calculate p.
-1, 0, 1
Let l(z) be the third derivative of -3 + 2*z**2 + 13/30*z**4 - 169/15*z**3 - 1/150*z**5 + 0*z. Factor l(f).
-2*(f - 13)**2/5
Let a(o) be the second derivative of o**4/12 - 7*o**3/2 + 52*o**2 - 2868*o. Find h, given that a(h) = 0.
8, 13
Let y be 3570/700 + 1/(-10). Let u(i) be the third derivative of 0 + 12*i**2 - 1/210*i**6 + 0*i**3 + 0*i**4 + 0*i - 2/105*i**y. Factor u(n).
-4*n**2*(n + 2)/7
Let y(u) be the second derivative of u**6/60 + 6*u**5/5 + 23*u**4/12 - 4*u**3 - 47*u**2/4 - 480*u. Find m, given that y(m) = 0.
-47, -1, 1
Let o(r) be the second derivative of -r**4/12 + 13*r**3/6 - r**2 + 10*r. Let k be o(12). Find i such that k*i + 0*i + 5*i**3 - 15*i = 0.
-1, 0, 1
Let g(l) = -5 + 457*l - 446*l - 20*l**2 + 2 - 21*l**3 - 2. Let k(a) = 21*a**3 + 19*a**2 - 10*a + 4. Let n(r) = -4*g(r) - 5*k(r). Factor n(u).
-3*u*(u + 1)*(7*u - 2)
Let k(f) be the first derivative of -8*f**3/57 - 1411*f**2/19 + 706*f/19 + 6163. Factor k(a).
-2*(a + 353)*(4*a - 1)/19
Let d(b) = 75*b**2 - 60*b. Let u be d(-6). Suppose 3034 - u = -13*t. Factor 2/11*j**t - 2/11*j - 4/11.
2*(j - 2)*(j + 1)/11
Let v = 2813 + -2802. Let i(f) be the second derivative of -12*f**3 - v*f - 3/40*f**5 - 27*f**2 + 0 - 13/8*f**4. Let i(j) = 0. Calculate j.
-6, -1
Let n = 64477/77466 + 13/12911. Determine x, given that -21/2*x - n*x**2 + 13/3 = 0.
-13, 2/5
Suppose 2*z - 16 = 4*q, -6 = -5*z + 5*q + 24. Determine n, given that -27*n**2 + 2*n**5 - 9*n**2 - 6*n**3 - n**z + 9*n**4 = 0.
-3, 0, 2
Suppose 85 = -3*n + 10. Let d = n + 27. Factor 2 - 2 + 41*k**d - 45*k**2 + 8*k.
-4*k*(k - 2)
Let h(x) be the second derivative of 1/150*x**6 + 7/10*x**4 + 4*x**2 + 0 - 235*x - 11/100*x**5 - 34/15*x**3. Let h(a) = 0. What is a?
2, 5
Factor -3515151 + 11562*z - 48*z**2 + 45*z**2 - 7802803 + 177967.
-3*(z - 1927)**2
What is x in 4*x**3 - 705*x - 653*x**2 + 232*x**2 - x**3 - 231*x - 512*x**2 = 0?
-1, 0, 312
Let q(v) be the second derivative of -81*v**7/7 - 477*v**6/5 - 2001*v**5/10 + 383*v**4/6 + 64*v**3 - 36*v**2 + 4*v - 79. Find p, given that q(p) = 0.
-3, -1/3, 2/9
Let t be ((-2622)/171)/((-2)/3). Let h(f) = -f**3 + 20*f**2 + 74*f - 113. Let l be h(t). Factor -1/3*m**l + 5/3*m + 2.
-(m - 6)*(m + 1)/3
Let x(q) be the first derivative of -1/15*q**3 + 0*q + 86 - 7/2*q**2. Determine h, given that x(h) = 0.
-35, 0
Let p(k) be the first derivative of 14*k**5/15 - 39*k**4 + 1760*k**3/3 - 10406*k**2/3 + 2662*k + 10995. Let p(q) = 0. Calculate q.
3/7, 11
Solve -4/9 + 16/9*o**2 + 4/3*o = 0 for o.
-1, 1/4
Let t(s) be the second derivative of 5*s**4/12 + 100*s**3/3 - 205*s**2/2 + 1181*s. Factor t(i).
5*(i - 1)*(i + 41)
Let t = 2526 + -2522. Let w be (t/(-18))/((-13)/207). Solve -w*j + 4/13*j**4 + 12/13 + 56/13*j**2 - 2*j**3 = 0 for j.
1/2, 1, 2, 3
Let f(z) be the first derivative of -102245*z**4 + 32175*z**3 + 705*z**2 + 5*z + 1248. Factor f(m).
-5*(4*m - 1)*(143*m + 1)**2
Factor -98*l**3 + 136*l**3 - 171*l - 24*l**2 + 171*l + 2*l**5 - 6*l**4 - 10*l**4.
2*l**2*(l - 4)*(l - 3)*(l - 1)
Let -80*m - 8*m**2 - 97*m - 99*m - 53*m + 9*m**2 = 0. What is m?
0, 329
Let q(h) be the first derivative of 27/8*h**2 - 20 - 3/4*h**3 - 2*h + 1/16*h**4. Let d(t) be the first derivative of q(t). Suppose d(v) = 0. Calculate v.
3
Let p = -1598 - -1548. Let i be ((12/(-16))/3)/(p/160). Factor 4/5*k**3 - 4/5 + 3/5*k**2 - i*k + 1/5*k**4.
(k - 1)*(k + 1)*(k + 2)**2/5
Let -21 + 0*s**2 + 15*s**4 - 477*s**5 + 42*s**3 + 234*s**5 + 240*s**5 - 39*s + 6*s**2 = 0. Calculate s.
-1, 1, 7
Let m(i) be the second derivative of 4 - 7/3*i**2 - 3*i - 1/2*i**3 - 1/36*i**4. Factor m(a).
-(a + 2)*(a + 7)/3
Let q(t) be the second derivative of -t**5/540 - 5*t**4/108 - 25*t**3/54 - 10*t**2 + 19*t - 2. Let w(v) be the first derivative of q(v). Factor w(i).
-(i + 5)**2/9
Let q be ((-104)/(-130))/((-979)/980 + 1). What is c in 782*c**3 - 216*c**2 + q*c**3 + 5832*c - 1564*c**3 = 0?
0, 54
Let r(l) be the first derivative of l**5/30 - 13*l**4/3 + 3*l**2/2 + 20*l + 162. Let q(y) be the second derivative of r(y). Solve q(d) = 0.
0, 52
Let p(u) be the third derivative of u**8/4032 + u**7/336 + u**6/72 - u**5/30 + 4*u**3/3 + 34*u**2. Let m(c) be the third derivative of p(c). Factor m(q).
5*(q + 1)*(q + 2)
Let j(u) = 162*u - 3885. Let x be j(24). Let g(p) be the second derivative of 1/6*p**4 - 6*p - p**2 + 0*p**x + 0. Let g(k) = 0. What is k?
-1, 1
Let h(d) be the third derivative of -d**10/1209600 - d**9/20160 - d**5/10 + 31*d**2. Let v(j) be the third derivative of h(j). Factor v(u).
-u**3*(u + 24)/8
Factor -10368/5*a + 396/5*a**2 - 4/5*a**3 + 27648/5.
-4*(a - 48)**2*(a - 3)/5
Let i = 1534 + -1546. Let t be 2/(10 - 11 - i). Determine j, given that 0 - t*j**4 + 0*j**3 + 0*j + 2/11*j**2 = 0.
-1, 0, 1
Suppose p - 56675*s - 4 = -56677*s, -31 = -5*p + s. Determine v so that -2/5*v**2 - p*v + 0 = 0.
-15, 0
Let r be 34/(-13)*(-20702)/(-44)*-4. Let m = r - 4892. Solve -m + 56/13*h - 2/13*h**2 = 0.
14
Factor 30 + 3155*u**4 - 83*u**3 - 13*u - 71*u**2 - 3160*u**4 - 50*u**2.
-(u + 1)**2*(u + 15)*(5*u - 2)
Let p be 0*(52/(-117) - -1*78/54). Let w(s) be the third derivative of 0*s - 1/420*s**7 + 0*s**4 + 20*s**2 - 1/60*s**6 - 1/30*s**5 + 0*s**3 + p. Factor w(g).
-g**2*(g + 2)**2/2
Determine q so that 218/9*q**2 + 62/9*q**3 + 128/9*q - 40/3 = 0.
-2, 15/31
Let n = -477 - -547. Let r be (56/n)/((-3)/(-3)). Determine i so that -2/5*i**2 + r*i + 0 = 0.
0, 2
Let j(w) = w**2 - 18*w + 83. Let x be j(9). Factor -3*p**2 + 28 + 29*p - p**2 + 6*p**x - p**2.
(p + 1)*(p + 28)
Let v = -1350/731 + 60225/2924. Determine z, given that 65/4*z**2 - v*z**3 + 5/4*z**4 + 75/4*z - 35/2 = 0.
-1, 1, 14
Let j(u) = 7*u - 88. Let c be j(13). Suppose 8874 + 20230*n - 37*n**c - 5*n**4 + 287*n**3 - 640*n**2 + 15691 - 3440*n**2 = 0. Calculate n.
-1, 17
Let d = -1571 - -4851. Let q = -22920/7 + d. Solve -66/7*u**3 + 0 - 8/7*u**5 + 40/7*u**4 - 8/7*u + q*u**2 = 0.
0, 1/2, 2
Factor 6374 - 3083 - 8*s**3 + 16*s**2 - 162*s + 56*s**2 - 3183.
-2*(s - 6)*(2*s - 3)**2
Suppose 6*k - 155 = -23. Suppose -k*t - 232 = -80*t. Factor -7/4*m**t - 1/4*m**5 + 4 - 2*m**2 + 4*m - 4*m**3.
-(m - 1)*(m + 2)**4/4
Let n be -2056 + 203