 Factor v(z).
2*(z - 24)*(z - 7)*(z - 1)
Let w = 123 + -119. Factor 0*q**5 - 875*q - 1290*q**3 - 5*q**5 - 8200*q + 6270*q**2 + 105*q**w + 2*q**5 + 3993.
-3*(q - 11)**3*(q - 1)**2
Let n(z) = -z**4 + z**3 + 5*z**2 - 1. Let m(p) = -6*p**4 + 5*p**3 + 26*p**2 + 18*p - 7. Let c(b) = -3*m(b) + 21*n(b). What is l in c(l) = 0?
-3, 0, 2, 3
Suppose -l + 30*k - 58 = 40*k, 0 = -2*l - 4*k - 20. Let j(o) be the first derivative of 13/3*o**3 + 2 - o**4 + 2*o - 11/2*o**l. Determine h so that j(h) = 0.
1/4, 1, 2
Let o(d) be the third derivative of -d**6/840 + 47*d**5/420 + 325*d**4/84 - 116*d**3/7 - 203*d**2 + 11*d. Solve o(n) = 0 for n.
-12, 1, 58
Let b(p) = -2*p**3 + 11*p**2 + 24*p - 18. Suppose 22*v = 55 + 99. Let x be b(v). What is l in -1/6*l**x + 4/3 - 1/3*l**2 + 2/3*l = 0?
-2, 2
Let w(u) be the third derivative of u**6/840 + 1777*u**5/420 + 32930*u**4/7 + 131424*u**3/7 - 8829*u**2. Solve w(v) = 0 for v.
-888, -1
Suppose -4*y + 3*x + 17 = -32, -3*y = -3*x - 36. Factor -3 - 3 - 101*t**2 - y*t + 96*t**2.
-(t + 2)*(5*t + 3)
Let t(d) be the third derivative of 15/8*d**3 + 0*d - 1/80*d**5 + 1/16*d**4 - 50*d**2 + 2. Find k such that t(k) = 0.
-3, 5
Let b(d) be the first derivative of -d**6/180 - d**5/12 - 10*d**3/3 + d - 88. Let u(y) be the third derivative of b(y). Determine c so that u(c) = 0.
-5, 0
Factor -103/3*t**2 + 34*t**3 + 205/6 - 34*t + 1/6*t**4.
(t - 1)**2*(t + 1)*(t + 205)/6
Let v(o) be the first derivative of -o**4/8 - 13*o**3/2 - 75*o**2/4 - 37*o/2 + 2928. Suppose v(z) = 0. What is z?
-37, -1
Factor 90/7*q - 2/7*q**3 + 88/7*q**2 + 0.
-2*q*(q - 45)*(q + 1)/7
Let t(n) be the third derivative of 0*n**4 - 1/1848*n**8 + 0*n + 0*n**5 + 0 + 0*n**3 - 2/1155*n**7 + 0*n**6 - n**2. Factor t(f).
-2*f**4*(f + 2)/11
Let 338 + 440*l**4 + 425*l**2 + 382 + 80*l**3 + 930*l - 435*l**4 = 0. Calculate l.
-8, -3, -2
Let a = 42 + -45. Let w(d) = -37*d**4 + 10*d**3 + 2. Let t(k) = -38*k**4 + 10*k**3 + 3. Let g(q) = a*w(q) + 2*t(q). Find n such that g(n) = 0.
0, 2/7
Let f be 105*((-12)/(-24) + (29/50 - 1)). Factor 36/5 + 4/5*m**2 - 2/5*m**3 + f*m.
-2*(m - 6)*(m + 1)*(m + 3)/5
Let f be -4 - (0 + 1 + -1). Let i be ((-20)/f)/(30/12). Factor -4*l**i + 0*l**2 - 5*l + 5*l + 4*l.
-4*l*(l - 1)
Let y = -1/182813 - -1096883/914065. Let 3/5*i - 3/5*i**3 + 6/5 - y*i**2 = 0. What is i?
-2, -1, 1
Let f(n) be the second derivative of n**5/5 + 40*n**4/3 + 986*n**3/3 + 3468*n**2 - 2541*n. Factor f(r).
4*(r + 6)*(r + 17)**2
Let f(r) be the second derivative of 2*r**6/3 - 43*r**5/4 + 845*r**4/12 - 240*r**3 + 450*r**2 - r - 66. Solve f(w) = 0.
2, 3, 15/4
Let f(r) = 7*r**2 + 37*r - 53. Suppose -327*d - 80 = -322*d. Let y(g) = -36*g**2 - 184*g + 268. Let v(s) = d*f(s) - 3*y(s). Solve v(j) = 0.
-11, 1
Let f be 33 - (-9)/(36/(-20)). Suppose 16*t - 23*t + f = 0. Suppose t*i**2 + 14/3*i - 1/3*i**4 + 5/3 + 2/3*i**3 = 0. What is i?
-1, 5
Suppose 2759 + 3742 = 1710*b - 339. Solve -4/3*p + 8/3*p**2 + 0 + 1/3*p**5 - p**3 - 2/3*p**b = 0 for p.
-2, 0, 1, 2
Suppose 294*z - 1680 = -42*z. Let v(a) be the third derivative of 0*a + 0 + 1/360*a**z - 1/36*a**3 - 1/720*a**6 + 1/144*a**4 - 8*a**2. Factor v(n).
-(n - 1)**2*(n + 1)/6
Let a(z) be the first derivative of 15/2*z**5 - 6*z - 6*z**2 + 9/2*z**3 + 12*z**4 + 3/2*z**6 + 125. Determine m so that a(m) = 0.
-2, -1, -2/3, 1/2
Let x be ((-663)/(-442))/((-21)/(-28)). Factor 16/5*c**x + 0 - 8/5*c - 2*c**3 + 2/5*c**4.
2*c*(c - 2)**2*(c - 1)/5
Let f be ((-198)/24)/11*-7800. Factor -180*t + 5845*t**4 + 100 + 87*t**2 - f*t**4 - 2*t**2.
-5*(t - 2)**2*(t - 1)*(t + 5)
Let q(v) be the third derivative of -1/48*v**6 - 1/12*v**5 + 3*v**2 + 0 + 5/6*v**3 + 10*v + 5/48*v**4. Factor q(i).
-5*(i - 1)*(i + 1)*(i + 2)/2
Suppose 18 = 3*p + 2*h, 35*p - 33*p - h = -2. Solve -3872/15 + 176/15*d - 2/15*d**p = 0.
44
Let d(k) be the third derivative of -k**7/420 - k**6/24 - 7*k**5/30 - k**4/2 + 3096*k**2. Factor d(v).
-v*(v + 2)**2*(v + 6)/2
Let h(i) be the second derivative of -2 - 5/9*i**3 + 0*i**2 - 27*i - 11/18*i**4. Find w, given that h(w) = 0.
-5/11, 0
Let q = -4789124/7385 + 138/1477. Let w = -648 - q. Find m, given that 0*m - 1/5*m**5 + w*m**2 - 2/5*m**4 + 1/5*m**3 + 0 = 0.
-2, -1, 0, 1
Let m(o) be the second derivative of -o**7/84 + o**6/72 + o**5/24 - 23*o**3/6 + 17*o. Let a(k) be the second derivative of m(k). Factor a(w).
-5*w*(w - 1)*(2*w + 1)
Determine h, given that 1830 + 37*h - 131*h - 375*h**2 - 59*h + 372*h**2 = 0.
-61, 10
Factor 2856*h**2 + 171088/5*h + 157216/5 + 412/5*h**3 + 4/5*h**4.
4*(h + 1)*(h + 34)**3/5
Let z = -327 - -331. Suppose 36*d - 32*d**2 + 332 - 332 - z*d**3 = 0. Calculate d.
-9, 0, 1
Let t(c) = -77*c**3 - 29*c**2 - 108*c - 72. Let a(s) = -135*s**3 - 60*s**2 - 215*s - 143. Let r(p) = -4*a(p) + 7*t(p). Factor r(m).
(m + 1)*(m + 2)*(m + 34)
Suppose -2*q = 4*m - 110, -5*q - m = 16 - 282. Factor -2*f**2 - 169*f - 1369 - 313 + q*f.
-2*(f + 29)**2
Let x(g) = 2*g**2 - 9*g - 3. Let n be x(-10). Solve 1144*f**2 - n*f**3 + 2 - 256*f + 225*f**4 + 14 - 673*f**3 = 0.
2/15, 2
Let p(l) be the third derivative of -l**6/320 - 7*l**5/40 - 151*l**4/64 + 45*l**3/4 + 2103*l**2. Factor p(z).
-3*(z - 1)*(z + 9)*(z + 20)/8
Let r(z) be the second derivative of 1/12*z**3 + 11/4*z**2 - 1/40*z**5 + 0 - 77*z - 11/24*z**4. Factor r(b).
-(b - 1)*(b + 1)*(b + 11)/2
Let c(q) = -q**2 + 5*q - 12. Let k(f) = -1. Suppose 4 = 2*x - 6*x - 2*w, -19 = -3*x + 4*w. Let z(a) = x*c(a) - 6*k(a). Factor z(o).
-(o - 3)*(o - 2)
Let m(h) = -6*h - 14. Let a be m(-3). Factor 6*j**2 - 6*j**a + 2*j - 3*j**4 - 4 + 7*j**4 - 2*j**3.
-2*(j - 1)**2*(j + 1)*(j + 2)
Let t be 35*(-3)/(-18) + (-1593)/354. Let h(b) be the first derivative of 0*b + 30 - t*b**3 + 22*b**2. Let h(z) = 0. Calculate z.
0, 11
Factor -180*v**2 + 0 - 15/2*v**4 + 216*v + 3/8*v**5 + 111/2*v**3.
3*v*(v - 6)**2*(v - 4)**2/8
Solve a**4 + 250*a**2 + 168*a - 2*a**4 + 6240*a**3 - 6159*a**3 = 0 for a.
-2, -1, 0, 84
Suppose -4*o + 82 = 2*l, -3*l - 3*o + 159 = l. Let g = 44 - l. Factor 5*i**2 + 28*i + g*i**3 + 26*i - 64*i.
5*i*(i - 1)*(i + 2)
Let b(g) be the second derivative of -g**4/21 + 4*g**3/21 + 18*g**2 + 375*g - 2. Factor b(m).
-4*(m - 9)*(m + 7)/7
Let w(d) = -52*d**2 - 9820*d + 857500. Let g(k) = 8*k**2 + 1403*k - 122500. Let f(h) = -20*g(h) - 3*w(h). Let f(u) = 0. What is u?
175
Let s be (-8)/6 + (-16)/24. Let i be (-3)/(630/(-208)) - s/(-15). Suppose -i*n**2 + 0 + 0*n - 2/7*n**4 - 8/7*n**3 = 0. What is n?
-3, -1, 0
Let l(d) = -d**3 + 4*d**2 + 6*d + 3. Let i be l(-2). Suppose 20*n + 3*t = 16*n + 12, -i = -5*n - 5*t. What is a in 0*a**2 - 8/11*a + 2/11*a**n + 0 = 0?
-2, 0, 2
What is k in -1/6*k**3 + 13*k**2 - 77/3 - 25/2*k = 0?
-1, 2, 77
Let i(d) be the first derivative of 2*d**5/65 + 23*d**4/26 - 4*d**3/3 - 48*d**2/13 - 1117. Solve i(f) = 0 for f.
-24, -1, 0, 2
Let k be ((-358)/12 + -8)/((-2)/(-4)). Let o = 2975/39 + k. Let -12/13*p - o*p**4 - 24/13*p**3 - 2/13 - 2*p**2 = 0. What is p?
-1, -1/2
Suppose 2*l + 42 = 3*t + 5*l, 0 = 4*t - 4*l - 64. Let z = t + -13. Factor -2 + 154*v**2 - 158*v**2 - z*v + 2*v**5 + 6*v**4 + 4*v**3 - 4*v.
2*(v - 1)*(v + 1)**4
Let b(n) be the first derivative of 1/200*n**6 - 1/40*n**4 + 0*n + 0*n**3 + 0*n**5 - 9*n**2 + 13. Let z(q) be the second derivative of b(q). Factor z(w).
3*w*(w - 1)*(w + 1)/5
Let b(y) = -88 + 28*y - 31*y + 153. Let x be b(21). Determine s, given that 5/3 - 2*s + 1/3*s**x = 0.
1, 5
Let r(v) be the third derivative of -v**7/525 + 19*v**6/300 + 4*v**5/3 + 36*v**4/5 + 2141*v**2. Suppose r(z) = 0. What is z?
-4, 0, 27
Let v(j) be the third derivative of 97*j**2 - 1/60*j**5 - 8*j**3 + 0 + 0*j + 2/3*j**4. Factor v(i).
-(i - 12)*(i - 4)
Let g(c) be the second derivative of -1/6*c**5 - 4/9*c**3 + 4/9*c**4 + 1/45*c**6 + 1 + 0*c**2 + 26*c. Find z such that g(z) = 0.
0, 1, 2
Suppose 29*p - 1610 = 855. Suppose -71*u + p*u = 0. Factor 0*m - 2/5*m**3 + u + 0*m**2 - 3/5*m**4 - 1/5*m**5.
-m**3*(m + 1)*(m + 2)/5
Factor -20*o**4 - 3*o**5 + 5476*o - 832*o**2 - 4193*o**2 + 855*o**3 - 7*o**4 + 3524*o.
-3*o*(o - 5)**3*(o + 24)
Let a = 297852 - 297850. Solve 4/3*p - 10 + 2/3*p**a = 0 for p.
-5, 3
What is o in 0*o - 336/5*o**2 - 2/5*o**4 + 92/5*o**3 + 0 = 0?
0, 4, 42
Suppose -2*g - 3*g + 5 = 5*u, 3*g + 5*u = -3. Suppose -4 = -2*f - 3*i, f - g = -f - i. Solve 310*w**2 - w**4 - 307*w**f - w**3 + w - 1 - 1 = 0.
-2, -1,