Let o(s) = z*g(s) - 14*b(s). Find i such that o(i) = 0.
1, 9
Let h(w) = -3*w**3 + 2*w**2 - w - 2. Let f(l) = -3*l**4 + 57*l**3 - 39*l**2 - 189*l + 186. Let b(a) = f(a) + 3*h(a). Determine z, given that b(z) = 0.
-2, 1, 2, 15
Let u(h) be the third derivative of 14/15*h**6 + 8/3*h**4 + 1/84*h**8 + 6/35*h**7 + 12/5*h**5 - 4 + 0*h**3 + 0*h + 3*h**2. Factor u(f).
4*f*(f + 1)*(f + 2)**2*(f + 4)
Let q be ((-134)/(-4))/(6/(-132)). Let m = -736 - q. Factor 1/2*x - 1/2*x**3 - x**2 + m.
-(x - 1)*(x + 1)*(x + 2)/2
Let g(v) be the third derivative of -4*v**7/945 - 5*v**6/108 + 7*v**5/27 + 115*v**4/108 + 8*v**3/9 + v**2 - 4824*v. Solve g(q) = 0.
-8, -1, -1/4, 3
Factor -4224/13*q - 2/13*q**3 + 9216/13 - 188/13*q**2.
-2*(q - 2)*(q + 48)**2/13
Let t(v) = v**2 + 6*v + 9. Let b be t(-6). Suppose 2*h - b + 3 = -2*s, 2*s = -4*h + 10. Determine j, given that 2*j**3 - 7*j**3 + 10*j**h + 5*j + 10*j**3 = 0.
-1, 0
Let h(w) be the first derivative of -w**4/120 - 11*w**3/30 + 23*w**2/20 + 97*w - 47. Let z(o) be the first derivative of h(o). Factor z(m).
-(m - 1)*(m + 23)/10
Factor 4/5*t**2 - 16/5*t + 4/5*t**3 - 16/5.
4*(t - 2)*(t + 1)*(t + 2)/5
Let c = -128 - -131. Suppose -49*k**4 - 3*k - k**c - 4*k**3 - 13*k**2 - 50*k**4 - 4*k + 100*k**4 = 0. Calculate k.
-1, 0, 7
Let o(f) be the first derivative of -1/10*f**5 + 0*f**4 + 1/60*f**6 + 7*f**2 + 0*f + 5 + 4/3*f**3. Let i(p) be the second derivative of o(p). Factor i(c).
2*(c - 2)**2*(c + 1)
Suppose -y + 10 = 3*c, -5*c + 3*y = 7784 - 7782. Solve -18 + 0*f**3 + 27/2*f**c - 3/2*f**4 + 6*f = 0.
-2, 1, 3
Suppose 18*m = 21*m + 99. Let q = m - -42. Factor 42*x**2 + q*x**4 - 16*x**3 - 11*x**3 - x**5 - 15*x**2.
-x**2*(x - 3)**3
Let o(n) be the first derivative of -n**5/25 + 83*n**4/20 - 27*n**3/5 - 83*n**2/10 + 82*n/5 + 3151. Determine m, given that o(m) = 0.
-1, 1, 82
Suppose -5*h = 413 - 493. Suppose h*a - 72 = -2*a. Suppose -4/11 - 14/11*i + 14/11*i**3 - 18/11*i**a + 2*i**2 = 0. What is i?
-1, -2/9, 1
Let a(k) = 734*k - 44746. Let m be a(61). Factor -8/3 + 343/3*f**3 + m*f - 98*f**2.
(7*f - 2)**3/3
Let n(l) = -l**4 - l**3 - 2*l**2 - 2*l. Let b(o) = 19*o - 24*o - 3*o**4 - 48*o**3 - 3*o**2 + 47*o**3. Let t(v) = -2*b(v) + 5*n(v). Factor t(s).
s**2*(s - 4)*(s + 1)
Factor 592/7*l**2 + 0 + 118/7*l + 10/7*l**3.
2*l*(l + 59)*(5*l + 1)/7
Let d(c) be the third derivative of c**5/450 - 4*c**4/15 + 572*c**3/45 - 15*c**2 - 2*c + 6. Determine z, given that d(z) = 0.
22, 26
Suppose -13*u = 26*u + 7878. Let r = u - -204. Factor -10/7 - 2/7*o**r + 12/7*o.
-2*(o - 5)*(o - 1)/7
Let q be 0/(5 + -6)*(-30)/(-90). Let o(t) be the third derivative of 0*t**3 + q*t - 1/8*t**4 + 0 - 1/20*t**5 - 5*t**2. What is g in o(g) = 0?
-1, 0
Let h(x) be the second derivative of -x**5/20 + 13*x**4/12 - 13*x**3/3 - 20*x**2 + 2*x + 389. Factor h(u).
-(u - 10)*(u - 4)*(u + 1)
Let q be (245/(-30) + 9 + -1)*-18. Factor 6*x**2 - 15*x + 3/4*x**q + 0.
3*x*(x - 2)*(x + 10)/4
Let f(x) be the second derivative of -x**4/12 - x**2/2 + 54*x. Let c(y) = 24*y**2 + 6*y + 14. Let u(i) = 2*c(i) + 44*f(i). Solve u(q) = 0.
-4, 1
Let f(n) = -2*n**3 - n**2 + n. Let z(y) = -9*y**3 - 7*y**2 + 2*y. Let l = -69 - -68. Let x(r) = l*z(r) + 5*f(r). Find v, given that x(v) = 0.
-1, 0, 3
Let m(r) be the third derivative of 0 + 15/2*r**3 + 5/3*r**4 + 0*r - 1/12*r**5 - 88*r**2. Factor m(f).
-5*(f - 9)*(f + 1)
Let z = 1366 - 1361. Suppose 0 = 4*l - u - 15, l + u - 15 = z*u. Factor 5/2*v**5 - 50*v**2 - 60*v - 45/2*v**4 + 65*v**l + 80.
5*(v - 4)*(v - 2)**3*(v + 1)/2
Let a be (-144)/3 + 5746/117. Determine c so that -a*c**3 + 0 + 4/9*c + 2/9*c**2 + 4/9*c**4 = 0.
-1/2, 0, 1, 2
Let a(z) be the first derivative of -z**5/60 - 23*z**4/6 - 1058*z**3/3 - 141*z**2/2 + 88. Let l(g) be the second derivative of a(g). Factor l(w).
-(w + 46)**2
Let r(j) be the second derivative of 1/7*j**3 - 45/14*j**2 - 26 + 1/28*j**4 - 3*j. Let r(z) = 0. What is z?
-5, 3
Let c = 54767 - 54767. Factor -4/3*d**3 - 5/3*d**2 - 2/3*d - 1/3*d**4 + c.
-d*(d + 1)**2*(d + 2)/3
Let d(l) be the third derivative of l**6/60 - 109*l**5/10 + 2214*l**4 + 26896*l**3/3 - 1787*l**2 + 1. Factor d(r).
2*(r - 164)**2*(r + 1)
Suppose 540*j = 528*j - 345*j + 59976. Determine d, given that -298/3*d**2 + 34/3*d**4 + 2/3*d**5 + 118/3*d**3 - j*d + 216 = 0.
-9, -2, 1, 2
Suppose 0 = -143*x + 28*x. Let q(y) be the first derivative of 1 - 1/3*y**3 + 1/10*y**5 + x*y**2 + 1/2*y + 0*y**4. Let q(o) = 0. What is o?
-1, 1
Let h be (-5 + 6)*(14 + -2). Factor -6*y**2 - 1739 - h*y + 3*y**2 + 1730.
-3*(y + 1)*(y + 3)
Let m(v) = -v**3 + 6*v**2 - 5*v + 3. Let p be m(5). Suppose 25 = p*x + 10. Let 11*n**x + 24*n**4 + 3*n**3 - 2*n**5 - 50*n**2 + 26*n**2 - 12*n = 0. What is n?
-2, -1, -2/3, 0, 1
Let j be (-2*(-2)/(-4))/((-2)/8). Let m be (-3*j/18)/((-2)/645). Factor -112 + w**2 + 3*w - 107 + m.
(w - 1)*(w + 4)
Let k(y) be the second derivative of y**7/735 - 3*y**6/70 + 27*y**5/70 + 37*y**2/2 + 5*y. Let a(j) be the first derivative of k(j). Factor a(g).
2*g**2*(g - 9)**2/7
Suppose -3*n + 37 = 4. Factor -10*w**2 - 2*w**2 - n*w**4 - 8*w**3 + 15*w**4.
4*w**2*(w - 3)*(w + 1)
Let k be (126484/(-921))/((-3)/(-18) + (5537/4326)/(-7)). Let 4/5*v**2 + 824/5*v + k = 0. Calculate v.
-103
Let w(p) be the third derivative of 5*p**8/336 - 10*p**7/21 - 11*p**6/24 + 551*p**5/6 + 3815*p**4/6 + 4900*p**3/3 + 841*p**2. Let w(q) = 0. What is q?
-5, -2, -1, 14
Let g(b) be the first derivative of b**4/6 + 166*b**3/9 + 163*b**2/3 + 54*b + 1832. Factor g(z).
2*(z + 1)**2*(z + 81)/3
Let w be 70/2 - (4 + -2)/(-2). Suppose -7*y + 153 = -w. Let 3 + 44*z**2 - 7 + 69*z - 14 + 16*z**2 - y*z**3 = 0. Calculate z.
-1, 2/9, 3
Let p be ((-16)/12 - -2)/((-32)/(-1200)). Let x(t) be the second derivative of 8/3*t**3 - 2*t**4 + 2/15*t**6 - p*t + 16*t**2 - 1/5*t**5 + 0. Factor x(w).
4*(w - 2)**2*(w + 1)*(w + 2)
Let w(u) be the third derivative of 2*u**8/49 - 808*u**7/735 - 11*u**6/28 + 503*u**5/210 - 57*u**4/28 + 17*u**3/21 + 1394*u**2. Find h such that w(h) = 0.
-1, 1/4, 1/3, 17
Let -2379/4*l**2 + 1/4*l**4 - 791/4*l**3 - 2381/4*l - 397/2 = 0. What is l?
-1, 794
Solve 64/11*r + 2/11*r**3 + 56/11 + 2*r**2 = 0.
-7, -2
Factor 301*i**2 - 37*i**2 + 243*i - 48*i**3 - 606*i.
-3*i*(4*i - 11)**2
Let z(r) = -118*r**2 - 6373*r - 54. Let a be z(-54). Suppose a - 4/11*y + 2/11*y**2 = 0. Calculate y.
0, 2
Let d be (-11)/((-154)/(-12))*(510/(-45) - -9). Factor 48*j - 16/5*j**3 - 104/5*j**d + 180 + 4/5*j**4.
4*(j - 5)**2*(j + 3)**2/5
Let c(o) be the first derivative of o**4/12 - 11*o**3/9 + 5*o**2/2 + 9*o + 1. Solve c(b) = 0 for b.
-1, 3, 9
Suppose -3 = j + 1, 3*i = -3*j - 36. Let y = 11 + i. Find u, given that 8*u + u + u**2 - u**4 - u**y - 8*u = 0.
-1, 0, 1
Factor 2/3*k**2 + 100/3*k - 550/3.
2*(k - 5)*(k + 55)/3
Let k = -204 - -207. Factor 12*h - 3 + 3 - 5*h**k + 9*h**2 + 2*h**3.
-3*h*(h - 4)*(h + 1)
Let o be 5865/561 - 6/(-11) - (-25 + 33). Let 0 - 2187/8*z - 3/8*z**o - 81/4*z**2 = 0. What is z?
-27, 0
Let t(u) be the third derivative of -1/600*u**6 - 29*u + 0 + 2*u**2 + 0*u**3 - 3/20*u**4 - 3/100*u**5. Solve t(l) = 0 for l.
-6, -3, 0
Let m(u) be the first derivative of -417*u**3 - 25/6*u**6 + 252 - 108*u - 324*u**2 - 859/4*u**4 - 49*u**5. Factor m(z).
-(z + 3)**3*(5*z + 2)**2
Let f = -30567 - -30572. Let x(m) be the third derivative of -11/60*m**4 + 13/150*m**f + 2/15*m**3 + 0 + 0*m - 1/75*m**6 + 46*m**2. Solve x(t) = 0.
1/4, 1, 2
Let j be (2/(-5) - -1)/((-174)/2610). Let k be (-6 - -3)/3 + j/(-6). Factor 4*y + k*y**2 + 8.
(y + 4)**2/2
Let c(g) be the second derivative of -3/14*g**2 + 2*g**3 + 14/5*g**6 - 195/28*g**4 - 3/5*g**5 - 7*g + 0. Find y, given that c(y) = 0.
-1, 1/14, 1
Suppose 5*h = 34 - 9. Suppose -4 = 3*f - h*y, 5*f = 4*y + y. Find b, given that 6*b**4 - 4*b**4 + 452*b**2 - 3*b**3 - 458*b**f + b**4 = 0.
-1, 0, 2
Let g(a) be the first derivative of -13*a**7/840 + 11*a**6/480 + a**5/120 + 61*a**2/2 - 128. Let n(c) be the second derivative of g(c). Factor n(o).
-o**2*(o - 1)*(13*o + 2)/4
Let n be ((-4)/10)/(11/(-103 - 7)). Solve 32*j - 10*j**2 + 11*j**3 - n*j**3 - 5*j**2 - 5*j**3 - 19*j**2 = 0.
0, 1, 16
Let h be 4*1/40*(133/14 + -7). Find a, given that 0 - h*a**2 + 1/2*a = 0.
0, 2
Let q be 7344/3060*(-5)/(-114). Factor -2*x + 0 - q*x**2.
-2*x*(x + 19)/19
Solve -37632/5*r + 4032/5*r**2 - 3/5*r**5 + 0 + 564/5*r**3 - 36